Subgroups — #28293221

Order 13568.

7370 conjugacy classes of subgroups.

The subgroup lattice has 2754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288607	C₂	1	2	yes	maximal, complemented
2	#20288604	C₂	1	2	yes	maximal, complemented
3	#20288603	C₂	1	4	yes	maximal, complemented
4	#20288587	C₂	1	2	yes	maximal, complemented
5	#20288584	C₂	1	2	yes	maximal, complemented
6	#20288583	C₂	1	4	yes	maximal, complemented
7	#20288565	C₂	1	2	yes	maximal, complemented
8	#20288561	C₂	1	2	yes	maximal, complemented
9	#20288561	C₂	1	2	yes	maximal, complemented
10	#20288557	C₂	1	2	yes	maximal, complemented
11	#20288453	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288452	C₂	1	1	yes	maximal, characteristic, complemented
13	#20288451	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288450	C₂	1	1	yes	maximal, characteristic, complemented
15	#20288449	C₂	1	2	yes	maximal, complemented
16	#20288447	C₂	1	1	yes	maximal, characteristic, complemented
17	#20288446	C₂	1	2	yes	maximal, complemented
18	#20288444	C₂	1	1	yes	maximal, characteristic, complemented
19	#20288443	C₂	1	2	yes	maximal, complemented
20	#20288440	C₂	1	1	yes	maximal, characteristic, complemented
21	#20288439	C₂	1	2	yes	maximal, complemented
22	#20288399	C₂	1	4	yes	maximal, complemented
23	#20288397	C₂	1	4	yes	maximal, complemented
24	#20288136	C₂	1	2	yes	maximal, complemented
25	#20288135	C₂	1	2	yes	maximal, complemented
26	#20288130	C₂	1	2	yes	maximal, complemented
27	#20288129	C₂	1	2	yes	maximal, complemented
28	#20288119	C₂	1	1	yes	maximal, characteristic, complemented
29	#20288045	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811189	C₂	1	1	yes	maximal, characteristic, complemented
31	#535×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#20287916	C₂	1	1	yes	maximal, characteristic, complemented
33	#20287915	C₂	1	1	yes	maximal, characteristic, complemented
34	#518×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂²×#11719945	C₂²	1	1	yes	characteristic
37	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
38	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
39	#16811357	C₂²	1	4	yes	complemented
40	#16811357	C₂²	1	4	yes	complemented
41	#16811357	C₂²	1	4	yes	complemented
42	#16811357	C₂²	1	4	yes	complemented
43	#16811356	C₂²	1	4	yes	complemented
44	#16811356	C₂²	1	4	yes	complemented
45	#16811355	C₂²	1	4	yes	complemented
46	#16811355	C₂²	1	4	yes	complemented
47	#16811344	C₂²	1	4	yes	complemented
48	#16811341	C₂²	1	4	yes	complemented
49	#16811340	C₂²	1	4	yes	complemented
50	#16811340	C₂²	1	4	yes	complemented
51	#16811339	C₂²	1	2	yes	complemented
52	#16811338	C₂²	1	2	yes	complemented
53	#16811338	C₂²	1	2	yes	complemented
54	#16811337	C₂²	1	2	yes	complemented
55	#16811337	C₂²	1	2	yes	complemented
56	#16811336	C₂²	1	2	yes	complemented
57	#16811336	C₂²	1	2	yes	complemented
58	#16811326	C₂²	1	2	yes	complemented
59	#16811326	C₂²	1	2	yes	complemented
60	#16811325	C₂²	1	2	yes	complemented
61	#16811325	C₂²	1	2	yes	complemented
62	#16811323	C₂²	1	2	yes	complemented
63	#16811323	C₂²	1	2	yes	complemented
64	#16811321	C₂²	1	2	yes	complemented
65	#16811321	C₂²	1	2	yes	complemented
66	#16811320	C₂²	1	2	yes	complemented
67	#16811320	C₂²	1	2	yes	complemented
68	#16811319	C₂²	1	2	yes	complemented
69	#16811319	C₂²	1	2	yes	complemented
70	#16811317	C₂²	1	2	yes	complemented
71	#16811317	C₂²	1	2	yes	complemented
72	#16811304	C₂²	1	4	yes	complemented
73	#16811303	C₂²	1	4	yes	complemented
74	#16811302	C₂²	1	4	yes	complemented
75	#16811302	C₂²	1	4	yes	complemented
76	#16811301	C₂²	1	4	yes	complemented
77	#16811300	C₂²	1	4	yes	complemented
78	#16811300	C₂²	1	4	yes	complemented
79	#16811299	C₂²	1	4	yes	complemented
80	#16811299	C₂²	1	4	yes	complemented
81	#16811298	C₂²	1	4	yes	complemented
82	#16811298	C₂²	1	4	yes	complemented
83	#16811297	C₂²	1	4	yes	complemented
84	#16811297	C₂²	1	4	yes	complemented
85	#16811296	C₂²	1	4	yes	complemented
86	#16811296	C₂²	1	4	yes	complemented
87	#16811292	C₂²	1	4	yes	complemented
88	#16811291	C₂²	1	4	yes	complemented
89	#16811291	C₂²	1	4	yes	complemented
90	#16811291	C₂²	1	4	yes	complemented
91	#16811278	C₂²	1	2	yes	complemented
92	#16811277	C₂²	1	2	yes	complemented
93	#16811276	C₂²	1	2	yes	complemented
94	#16811274	C₂²	1	2	yes	complemented
95	#16811274	C₂²	1	2	yes	complemented
96	#16811273	C₂²	1	2	yes	complemented
97	#16811273	C₂²	1	2	yes	complemented
98	#16811270	C₂²	1	4	yes	complemented
99	#16811269	C₂²	1	4	yes	complemented
100	#16811268	C₂²	1	4	yes	complemented
101	#16811267	C₂²	1	4	yes	complemented
102	#16811266	C₂²	1	4	yes	complemented
103	#16811265	C₂²	1	4	yes	complemented
104	#16811265	C₂²	1	4	yes	complemented
105	#16811264	C₂²	1	4	yes	complemented
106	#16811263	C₂²	1	4	yes	complemented
107	#16811263	C₂²	1	4	yes	complemented
108	#16811262	C₂²	1	4	yes	complemented
109	#16811262	C₂²	1	4	yes	complemented
110	#16811261	C₂²	1	4	yes	complemented
111	#16811260	C₂²	1	4	yes	complemented
112	#16811260	C₂²	1	4	yes	complemented
113	#16811254	C₂²	1	1	yes	characteristic, complemented
114	#16811253	C₂²	1	2	yes	complemented
115	#16811253	C₂²	1	2	yes	complemented
116	#16811251	C₂²	1	1	yes	characteristic, complemented
117	#16811251	C₂²	1	1	yes	characteristic, complemented
118	#16811250	C₂²	1	2	yes	complemented
119	#16811250	C₂²	1	2	yes	complemented
120	#16811248	C₂²	1	4	yes	—
121	#16811247	C₂²	1	2	yes	complemented
122	#16811246	C₂²	1	2	yes	complemented
123	#16811245	C₂²	1	2	yes	complemented
124	#16811244	C₂²	1	2	yes	complemented
125	#16811243	C₂²	1	4	yes	complemented
126	#16811242	C₂²	1	2	yes	complemented
127	#16811241	C₂²	1	4	yes	complemented
128	#16811240	C₂²	1	2	yes	complemented
129	#16811239	C₂²	1	4	yes	complemented
130	#16811238	C₂²	1	2	yes	complemented
131	#16811237	C₂²	1	4	yes	complemented
132	#16811229	C₂²	1	2	yes	complemented
133	#16811228	C₂²	1	2	yes	complemented
134	#16811227	C₂²	1	2	yes	complemented
135	#16811226	C₂²	1	2	yes	complemented
136	#16811226	C₂²	1	2	yes	complemented
137	#16811225	C₂²	1	4	yes	complemented
138	#16811225	C₂²	1	4	yes	complemented
139	#16811224	C₂²	1	2	yes	complemented
140	#16811224	C₂²	1	2	yes	complemented
141	#16811223	C₂²	1	4	yes	complemented
142	#16811223	C₂²	1	4	yes	complemented
143	#16811212	C₂²	1	4	yes	complemented
144	#16811212	C₂²	1	4	yes	complemented
145	#16811209	C₂²	1	4	yes	complemented
146	#16811209	C₂²	1	4	yes	complemented
147	#16811207	C₂²	1	4	yes	complemented
148	#16811207	C₂²	1	4	yes	complemented
149	#16811205	C₂²	1	4	yes	complemented
150	#16811205	C₂²	1	4	yes	complemented
151	#16811203	C₂²	1	1	yes	characteristic, complemented
152	#16811203	C₂²	1	1	yes	characteristic, complemented
153	#16811202	C₂²	1	1	yes	characteristic, complemented
154	#16811202	C₂²	1	1	yes	characteristic, complemented
155	#16811196	C₂²	1	1	yes	characteristic, complemented
156	#16811196	C₂²	1	1	yes	characteristic, complemented
157	#16811195	C₂²	1	2	yes	complemented
158	#16811192	C₂²	1	1	yes	characteristic
159	#16811191	C₂²	1	2	yes	complemented
160	#16811190	C₂²	1	1	yes	characteristic
161	#16811189	C₂²	1	2	yes	—
162	#16811189	C₂²	1	2	yes	—
163	#16811189	C₂²	1	2	yes	—
164	#16811189	C₂²	1	2	yes	—
165	#16811189	C₂²	1	2	yes	complemented
166	#16811189	C₂²	1	2	yes	complemented
167	#16811189	C₂²	1	2	yes	complemented
168	#16811189	C₂²	1	2	yes	complemented
169	#16811189	C₂²	1	2	yes	complemented
170	#16811189	C₂²	1	2	yes	complemented
171	#16811189	C₂²	1	1	yes	characteristic, complemented
172	#16811189	C₂²	1	1	yes	characteristic, complemented
173	#16811188	C₂²	1	4	yes	—
174	#16811188	C₂²	1	2	yes	complemented
175	#16811187	C₂²	1	1	yes	characteristic
176	#16811186	C₂²	1	2	yes	complemented
177	#16811184	C₂²	1	2	yes	—
178	#16811183	C₂²	1	2	yes	—
179	#16811179	C₂²	1	2	yes	complemented
180	#16811179	C₂²	1	2	yes	complemented
181	#16811178	C₂²	1	2	yes	complemented
182	#16811178	C₂²	1	2	yes	complemented
183	#16811175	C₂²	1	4	yes	complemented
184	#16811174	C₂²	1	2	yes	complemented
185	#16811173	C₂²	1	2	yes	complemented
186	#16811172	C₂²	1	4	yes	complemented
187	#16811171	C₂²	1	2	yes	complemented
188	#16811170	C₂²	1	2	yes	complemented
189	#16811170	C₂²	1	2	yes	complemented
190	#16811170	C₂²	1	2	yes	complemented
191	#16811170	C₂²	1	4	yes	complemented
192	#16811170	C₂²	1	2	yes	complemented
193	#16811169	C₂²	1	4	yes	complemented
194	#16811168	C₂²	1	2	yes	complemented
195	#16811168	C₂²	1	4	yes	complemented
196	#16811168	C₂²	1	2	yes	complemented
197	C₂×#13133213	C₂²	1	2	yes	complemented
198	#127×D₅₃	C₂²	1	2	yes	complemented
199	#16811160	C₂²	1	2	yes	complemented
200	#16811159	C₂²	1	2	yes	complemented
201	#16811158	C₂²	1	2	yes	complemented
202	#16811157	C₂²	1	2	yes	complemented
203	#16811156	C₂²	1	4	yes	complemented
204	#16811155	C₂²	1	2	yes	complemented
205	#16811154	C₂²	1	2	yes	complemented
206	#16811153	C₂²	1	4	yes	complemented
207	#16811152	C₂²	1	2	yes	complemented
208	#16811151	C₂²	1	4	yes	complemented
209	#16811150	C₂²	1	4	yes	complemented
210	C₂×#13133203	C₂²	1	2	yes	complemented
211	#124×D₅₃	C₂²	1	2	yes	complemented
212	#16811136	C₂²	1	4	yes	complemented
213	#16811135	C₂²	1	1	yes	characteristic, complemented
214	#16811135	C₂²	1	4	yes	complemented
215	#16811134	C₂²	1	1	yes	characteristic, complemented
216	#16811133	C₂²	1	4	yes	complemented
217	#16811132	C₂²	1	2	yes	complemented
218	#16811132	C₂²	1	2	yes	complemented
219	#16811132	C₂²	1	4	yes	complemented
220	#16811132	C₂²	1	4	yes	complemented
221	#16811131	C₂²	1	4	yes	complemented
222	#16811131	C₂²	1	4	yes	complemented
223	#16811130	C₂²	1	1	yes	characteristic, complemented
224	#16811130	C₂²	1	4	yes	complemented
225	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
226	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
227	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
228	#121×D₅₃	C₂²	1	2	yes	complemented
229	#121×D₅₃	C₂²	1	2	yes	complemented
230	C₂×#13133187	C₂²	1	2	yes	—
231	C₂×#13133185	C₂²	1	2	yes	—
232	#120×D₅₃	C₂²	1	4	yes	—
233	#16811106	C₂²	1	1	yes	characteristic, complemented
234	#16811104	C₂²	1	1	yes	characteristic, complemented
235	#16811104	C₂²	1	1	yes	characteristic, complemented
236	#16811104	C₂²	1	2	yes	complemented
237	#16811104	C₂²	1	1	yes	characteristic, complemented
238	#16811104	C₂²	1	1	yes	characteristic, complemented
239	#16811104	C₂²	1	1	yes	characteristic, complemented
240	#16811103	C₂²	1	1	yes	characteristic, complemented
241	#16811103	C₂²	1	1	yes	characteristic, complemented
242	#16811103	C₂²	1	2	yes	complemented
243	#16811103	C₂²	1	1	yes	characteristic, complemented
244	#16811103	C₂²	1	1	yes	characteristic, complemented
245	#16811103	C₂²	1	1	yes	characteristic, complemented
246	#16811100	C₂²	1	2	yes	complemented
247	#16811099	C₂²	1	2	yes	complemented
248	#16811098	C₂²	1	1	yes	characteristic, complemented
249	#16811097	C₂²	1	2	yes	—
250	#16811097	C₂²	1	1	yes	characteristic, complemented
251	#16811097	C₂²	1	1	yes	characteristic, complemented
252	#16811096	C₂²	1	2	yes	—
253	#16811096	C₂²	1	4	yes	complemented
254	#16811096	C₂²	1	2	yes	complemented
255	#16811095	C₂²	1	4	yes	—
256	#16811095	C₂²	1	2	yes	complemented
257	#16811095	C₂²	1	2	yes	complemented
258	#16811095	C₂²	1	2	yes	complemented
259	#16811095	C₂²	1	2	yes	complemented
260	#16811095	C₂²	1	2	yes	complemented
261	C₄×#11719949	C₂²	1	2	yes	complemented
262	C₄×#11719945	C₂²	1	2	yes	complemented
263	C₄×#11719945	C₂²	1	2	yes	complemented
264	#16811091	C₂²	1	2	yes	complemented
265	#16811091	C₂²	1	2	yes	complemented
266	C₄×#11719947	C₂²	1	4	yes	complemented
267	C₄×#11719947	C₂²	1	2	yes	complemented
268	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
269	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
270	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
271	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
272	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
273	C₂×#13133175	C₂²	1	1	yes	characteristic
274	C₂×#13133175	C₂²	1	2	yes	complemented
275	#117×D₅₃	C₂²	1	1	yes	characteristic
276	#117×D₅₃	C₂²	1	1	yes	characteristic
277	#117×D₅₃	C₂²	1	1	yes	characteristic
278	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
279	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
280	#117×D₅₃	C₂²	1	2	yes	complemented
281	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	—
282	C₅₃×#555	C₂²	1	2	yes	complemented
283	C₅₃×#553	C₂²	1	2	yes	complemented
284	C₅₃×#553	C₂²	1	2	yes	complemented
285	C₅₃×#551	C₂²	1	4	yes	complemented
286	C₅₃×#547	C₂²	1	2	yes	complemented
287	C₅₃×#546	C₂²	1	4	yes	complemented
288	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
289	C₅₃×#542	C₂²	1	2	yes	complemented
290	C₅₃×#540	C₂²	1	2	yes	complemented
291	C₅₃×#535	C₂²	1	1	yes	characteristic
292	C₅₃×#532	C₂²	1	2	yes	complemented
293	C₅₃×#529	C₂²	1	2	yes	complemented
294	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
295	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
296	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
297	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	2	yes	—
300	C₂×#11719949	C₂³	1	1	yes	characteristic
301	C₂×#11719949	C₂³	1	4	yes	complemented
302	C₂×#11719945	—	2	8	no	—
303	C₂×#11719945	C₂³	1	1	yes	characteristic
304	C₂×#11719945	C₂³	1	1	yes	characteristic
305	C₂×#11719945	C₂³	1	1	yes	characteristic
306	C₂×#11719945	C₂³	1	1	yes	characteristic
307	C₂×#11719945	C₂³	1	1	yes	characteristic
308	C₂×#11719945	C₂³	1	1	yes	characteristic
309	C₂×#11719945	C₂³	1	1	yes	characteristic
310	C₂×#11719945	C₂³	1	2	yes	—
311	C₂×#11719945	C₂³	1	1	yes	characteristic
312	C₂×#11719945	C₂³	1	1	yes	characteristic
313	C₂×#11719945	C₂³	1	4	yes	complemented
314	C₂×#11719945	C₂³	1	4	yes	complemented
315	C₂×#11719945	C₂³	1	4	yes	complemented
316	C₂×#11719947	C₂³	1	1	yes	characteristic
317	C₂×#11719947	C₂³	1	2	yes	—
318	C₂×#11719947	C₂³	1	4	yes	complemented
319	C₂×#11719947	C₂³	1	4	yes	complemented
320	C₂×#11719947	C₂³	1	4	yes	complemented
321	#41×D₅₃	—	2	8	no	—
322	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
323	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
324	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
325	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
326	C₂²×D₂₁₂	C₂³	1	2	yes	—
327	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
328	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
329	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
330	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
331	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
332	C₂×D₄×D₅₃	—	2	8	no	—
333	C₂×D₄×D₅₃	C₂³	1	2	yes	—
334	C₂×D₄×D₅₃	C₂³	1	2	yes	—
335	C₂×D₄×D₅₃	C₂³	1	2	yes	—
336	C₂×D₄×D₅₃	C₂³	1	2	yes	—
337	C₂×D₄×D₅₃	C₂³	1	2	yes	—
338	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂×D₄×D₅₃	C₂³	1	4	yes	—
340	C₂×D₄×D₅₃	C₂³	1	4	yes	—
341	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
342	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
343	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
344	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
345	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
346	#13133217	C₂³	1	2	yes	complemented
347	#13133217	C₂³	1	2	yes	complemented
348	#13133216	C₂³	1	2	yes	complemented
349	#13133216	C₂³	1	2	yes	complemented
350	#13133216	C₂³	1	2	yes	complemented
351	#13133216	C₂³	1	2	yes	complemented
352	#13133216	C₂³	1	4	yes	complemented
353	#13133216	C₂³	1	2	yes	complemented
354	#13133216	C₂³	1	2	yes	complemented
355	#13133215	C₂³	1	4	yes	complemented
356	#13133214	C₂³	1	2	yes	—
357	#13133213	C₂³	1	4	yes	—
358	#13133213	C₂³	1	4	yes	—
359	#13133213	C₂³	1	4	yes	—
360	#13133213	C₂³	1	4	yes	—
361	#13133213	C₂³	1	2	yes	—
362	#13133213	C₂³	1	2	yes	—
363	#13133213	C₂³	1	4	yes	—
364	#13133213	C₂³	1	4	yes	—
365	#13133213	C₂³	1	2	yes	complemented
366	#13133213	C₂³	1	2	yes	complemented
367	#13133212	C₂³	1	4	yes	complemented
368	#13133212	C₂³	1	4	yes	complemented
369	#13133212	C₂³	1	4	yes	complemented
370	#13133212	C₂³	1	4	yes	complemented
371	#13133212	C₂³	1	4	yes	complemented
372	#13133212	C₂³	1	4	yes	complemented
373	#13133211	C₂³	1	4	yes	complemented
374	#13133211	C₂³	1	4	yes	complemented
375	#13133210	C₂³	1	4	yes	complemented
376	#13133210	C₂³	1	4	yes	complemented
377	#13133210	C₂³	1	4	yes	complemented
378	#13133210	C₂³	1	4	yes	complemented
379	#13133210	C₂³	1	4	yes	complemented
380	#13133210	C₂³	1	4	yes	complemented
381	#13133209	C₂³	1	2	yes	complemented
382	#13133209	C₂³	1	2	yes	complemented
383	#13133208	C₂³	1	2	yes	complemented
384	#13133208	C₂³	1	2	yes	complemented
385	#13133208	C₂³	1	2	yes	complemented
386	#13133208	C₂³	1	2	yes	complemented
387	#13133207	C₂³	1	4	yes	complemented
388	#13133207	C₂³	1	4	yes	complemented
389	#13133206	C₂³	1	2	yes	—
390	#13133206	C₂³	1	4	yes	complemented
391	#13133206	C₂³	1	4	yes	complemented
392	#13133205	C₂³	1	2	yes	—
393	#13133205	C₂³	1	4	yes	complemented
394	#13133205	C₂³	1	4	yes	complemented
395	#13133204	C₂³	1	2	yes	—
396	#13133204	C₂³	1	4	yes	complemented
397	#13133204	C₂³	1	4	yes	complemented
398	#13133203	C₂³	1	4	yes	—
399	#13133203	C₂³	1	4	yes	—
400	#13133203	C₂³	1	4	yes	—
401	#13133203	C₂³	1	4	yes	—
402	#13133203	C₂³	1	4	yes	—
403	#13133203	C₂³	1	4	yes	—
404	#13133203	C₂³	1	4	yes	complemented
405	#13133203	C₂³	1	4	yes	complemented
406	#13133203	C₂³	1	4	yes	complemented
407	#13133203	C₂³	1	4	yes	complemented
408	#13133203	C₂³	1	4	yes	complemented
409	#13133203	C₂³	1	4	yes	complemented
410	#13133203	C₂³	1	4	yes	complemented
411	#13133203	C₂³	1	4	yes	complemented
412	#13133203	C₂³	1	2	yes	complemented
413	#13133203	C₂³	1	2	yes	complemented
414	#13133203	C₂³	1	2	yes	complemented
415	#13133203	C₂³	1	2	yes	complemented
416	#13133202	C₂³	1	2	yes	—
417	#13133202	C₂³	1	2	yes	—
418	#13133202	C₂³	1	4	yes	complemented
419	#13133202	C₂³	1	4	yes	complemented
420	#13133202	C₂³	1	4	yes	complemented
421	#13133202	C₂³	1	4	yes	complemented
422	#13133202	C₂³	1	4	yes	complemented
423	#13133202	C₂³	1	4	yes	complemented
424	#13133202	C₂³	1	4	yes	complemented
425	#13133202	C₂³	1	4	yes	complemented
426	#13133201	C₂³	1	2	yes	—
427	#13133201	C₂³	1	4	yes	complemented
428	#13133201	C₂³	1	4	yes	complemented
429	#13133201	C₂³	1	4	yes	complemented
430	#13133201	C₂³	1	4	yes	complemented
431	#13133200	C₂³	1	2	yes	—
432	#13133200	C₂³	1	4	yes	complemented
433	#13133200	C₂³	1	4	yes	complemented
434	#13133200	C₂³	1	4	yes	complemented
435	#13133200	C₂³	1	4	yes	complemented
436	#13133199	C₂³	1	2	yes	—
437	#13133199	C₂³	1	2	yes	—
438	#13133199	C₂³	1	4	yes	complemented
439	#13133199	C₂³	1	4	yes	complemented
440	#13133199	C₂³	1	4	yes	complemented
441	#13133199	C₂³	1	4	yes	complemented
442	#13133199	C₂³	1	4	yes	complemented
443	#13133199	C₂³	1	4	yes	complemented
444	#13133199	C₂³	1	4	yes	complemented
445	#13133199	C₂³	1	4	yes	complemented
446	#13133198	C₂³	1	2	yes	—
447	#13133198	C₂³	1	4	yes	complemented
448	#13133198	C₂³	1	4	yes	complemented
449	#13133198	C₂³	1	4	yes	complemented
450	#13133198	C₂³	1	4	yes	complemented
451	#13133197	C₂³	1	4	yes	—
452	#13133197	C₂³	1	4	yes	—
453	#13133197	C₂³	1	4	yes	complemented
454	#13133197	C₂³	1	1	yes	characteristic, complemented
455	#13133197	C₂³	1	1	yes	characteristic, complemented
456	#13133196	C₂³	1	4	yes	—
457	#13133196	C₂³	1	4	yes	complemented
458	#13133196	C₂³	1	1	yes	characteristic, complemented
459	#13133196	C₂³	1	1	yes	characteristic, complemented
460	#13133195	C₂³	1	4	yes	—
461	#13133195	C₂³	1	4	yes	—
462	#13133195	C₂³	1	4	yes	—
463	#13133195	C₂³	1	4	yes	—
464	#13133195	C₂³	1	4	yes	complemented
465	#13133195	C₂³	1	4	yes	complemented
466	#13133195	C₂³	1	2	yes	complemented
467	#13133195	C₂³	1	2	yes	complemented
468	#13133194	C₂³	1	4	yes	—
469	#13133194	C₂³	1	4	yes	—
470	#13133194	C₂³	1	4	yes	complemented
471	#13133194	C₂³	1	4	yes	complemented
472	#13133194	C₂³	1	2	yes	complemented
473	#13133194	C₂³	1	2	yes	complemented
474	#13133193	C₂³	1	4	yes	—
475	#13133193	C₂³	1	4	yes	—
476	#13133193	C₂³	1	4	yes	complemented
477	#13133193	C₂³	1	1	yes	characteristic, complemented
478	#13133193	C₂³	1	1	yes	characteristic, complemented
479	#13133192	C₂³	1	2	yes	—
480	#13133192	C₂³	1	2	yes	—
481	#13133192	C₂³	1	2	yes	—
482	#13133192	C₂³	1	2	yes	—
483	#13133192	C₂³	1	2	yes	—
484	#13133192	C₂³	1	2	yes	—
485	#13133192	C₂³	1	2	yes	—
486	#13133192	C₂³	1	2	yes	—
487	#13133192	C₂³	1	4	yes	complemented
488	#13133192	C₂³	1	4	yes	complemented
489	#13133192	C₂³	1	4	yes	complemented
490	#13133192	C₂³	1	1	yes	characteristic, complemented
491	#13133192	C₂³	1	1	yes	characteristic, complemented
492	#13133191	C₂³	1	2	yes	—
493	#13133191	C₂³	1	2	yes	—
494	#13133191	C₂³	1	2	yes	—
495	#13133191	C₂³	1	2	yes	—
496	#13133191	C₂³	1	2	yes	—
497	#13133191	C₂³	1	2	yes	—
498	#13133191	C₂³	1	4	yes	complemented
499	#13133191	C₂³	1	4	yes	complemented
500	#13133191	C₂³	1	4	yes	complemented
501	#13133191	C₂³	1	1	yes	characteristic, complemented
502	#13133191	C₂³	1	1	yes	characteristic, complemented
503	#13133190	C₂³	1	4	yes	—
504	#13133190	C₂³	1	4	yes	—
505	#13133190	C₂³	1	2	yes	—
506	#13133190	C₂³	1	2	yes	—
507	#13133190	C₂³	1	2	yes	—
508	#13133190	C₂³	1	2	yes	—
509	#13133190	C₂³	1	4	yes	complemented
510	#13133190	C₂³	1	4	yes	complemented
511	#13133190	C₂³	1	4	yes	complemented
512	#13133190	C₂³	1	4	yes	complemented
513	#13133190	C₂³	1	4	yes	complemented
514	#13133190	C₂³	1	4	yes	complemented
515	#13133190	C₂³	1	2	yes	complemented
516	#13133190	C₂³	1	2	yes	complemented
517	#13133189	C₂³	1	4	yes	—
518	#13133189	C₂³	1	4	yes	—
519	#13133189	C₂³	1	4	yes	complemented
520	#13133189	C₂³	1	4	yes	complemented
521	#13133189	C₂³	1	4	yes	complemented
522	#13133189	C₂³	1	4	yes	complemented
523	#13133189	C₂³	1	4	yes	complemented
524	#13133189	C₂³	1	4	yes	complemented
525	#13133189	C₂³	1	2	yes	complemented
526	#13133189	C₂³	1	2	yes	complemented
527	#13133188	C₂³	1	2	yes	—
528	#13133188	C₂³	1	2	yes	—
529	#13133188	C₂³	1	2	yes	—
530	#13133188	C₂³	1	2	yes	—
531	#13133188	C₂³	1	2	yes	—
532	#13133188	C₂³	1	2	yes	—
533	#13133188	C₂³	1	2	yes	—
534	#13133188	C₂³	1	2	yes	—
535	#13133188	C₂³	1	4	yes	complemented
536	#13133188	C₂³	1	4	yes	complemented
537	#13133188	C₂³	1	4	yes	complemented
538	#13133188	C₂³	1	1	yes	characteristic, complemented
539	#13133188	C₂³	1	1	yes	characteristic, complemented
540	#13133187	C₂³	1	2	yes	—
541	#13133187	C₂³	1	4	yes	—
542	#13133187	C₂³	1	2	yes	—
543	#13133187	C₂³	1	4	yes	—
544	#13133187	C₂³	1	2	yes	—
545	#13133187	C₂³	1	4	yes	—
546	#13133187	C₂³	1	4	yes	—
547	#13133187	C₂³	1	4	yes	—
548	#13133187	C₂³	1	4	yes	—
549	#13133187	C₂³	1	4	yes	—
550	#13133186	C₂³	1	2	yes	—
551	#13133186	C₂³	1	4	yes	—
552	#13133185	C₂³	1	2	yes	—
553	#13133185	C₂³	1	4	yes	—
554	#13133185	C₂³	1	2	yes	—
555	#13133185	C₂³	1	4	yes	—
556	#13133185	C₂³	1	4	yes	—
557	#13133185	C₂³	1	4	yes	—
558	#13133185	C₂³	1	4	yes	—
559	#13133185	C₂³	1	4	yes	—
560	#13133185	C₂³	1	4	yes	—
561	#13133185	C₂³	1	2	yes	—
562	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
563	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
564	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
565	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
566	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
567	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
568	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
569	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
570	#13133182	C₂³	1	4	yes	complemented
571	#13133182	C₂³	1	4	yes	complemented
572	#13133182	C₂³	1	4	yes	complemented
573	#13133182	C₂³	1	2	yes	complemented
574	#13133182	C₂³	1	4	yes	complemented
575	#13133182	C₂³	1	2	yes	complemented
576	#13133182	C₂³	1	2	yes	complemented
577	#13133182	C₂³	1	2	yes	complemented
578	#13133182	C₂³	1	2	yes	complemented
579	C₄×D₂₁₂	C₂³	1	2	yes	—
580	C₄×D₂₁₂	C₂³	1	2	yes	—
581	C₄×D₂₁₂	C₂³	1	2	yes	—
582	C₄×D₂₁₂	C₂³	1	2	yes	—
583	C₄×D₂₁₂	C₂³	1	2	yes	—
584	C₄×D₂₁₂	C₂³	1	2	yes	—
585	C₄×D₂₁₂	C₂³	1	2	yes	—
586	C₄×D₂₁₂	C₂³	1	2	yes	—
587	C₄×D₂₁₂	C₂³	1	4	yes	—
588	C₄×D₂₁₂	C₂³	1	4	yes	complemented
589	C₄×D₂₁₂	C₂³	1	4	yes	complemented
590	C₄×D₂₁₂	C₂³	1	2	yes	complemented
591	C₄×D₂₁₂	C₂³	1	2	yes	complemented
592	C₄×D₂₁₂	C₂³	1	2	yes	complemented
593	D₄×Dic₅₃	C₂³	1	2	yes	—
594	D₄×Dic₅₃	C₂³	1	2	yes	—
595	D₄×Dic₅₃	C₂³	1	4	yes	—
596	D₄×Dic₅₃	C₂³	1	2	yes	—
597	D₄×Dic₅₃	C₂³	1	2	yes	—
598	D₄×Dic₅₃	C₂³	1	4	yes	complemented
599	D₄×Dic₅₃	C₂³	1	4	yes	complemented
600	D₄×Dic₅₃	C₂³	1	2	yes	complemented
601	#13133179	C₂³	1	2	yes	—
602	#13133179	C₂³	1	2	yes	—
603	#13133179	C₂³	1	2	yes	—
604	#13133179	C₂³	1	2	yes	—
605	#13133179	C₂³	1	2	yes	—
606	#13133179	C₂³	1	2	yes	—
607	#13133179	C₂³	1	2	yes	—
608	#13133179	C₂³	1	2	yes	—
609	#13133179	C₂³	1	4	yes	—
610	#13133179	C₂³	1	4	yes	complemented
611	#13133179	C₂³	1	4	yes	complemented
612	#13133179	C₂³	1	2	yes	complemented
613	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
614	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
615	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
616	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
617	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
618	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
619	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
620	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
621	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
622	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
623	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
624	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
625	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
626	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
627	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
628	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
629	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
630	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
631	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
632	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
633	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
634	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
635	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
636	#13133177	C₂³	1	4	yes	—
637	#13133177	C₂³	1	4	yes	—
638	#13133177	C₂³	1	2	yes	—
639	#13133177	C₂³	1	4	yes	—
640	#13133177	C₂³	1	2	yes	—
641	#13133177	C₂³	1	4	yes	—
642	#13133177	C₂³	1	4	yes	—
643	#13133177	C₂³	1	4	yes	—
644	#13133177	C₂³	1	2	yes	—
645	#13133177	C₂³	1	2	yes	—
646	#13133177	C₂³	1	4	yes	complemented
647	#13133177	C₂³	1	4	yes	complemented
648	#13133177	C₂³	1	4	yes	complemented
649	#13133177	C₂³	1	2	yes	complemented
650	#13133177	C₂³	1	2	yes	complemented
651	#13133177	C₂³	1	4	yes	complemented
652	#13133177	C₂³	1	4	yes	complemented
653	#13133177	C₂³	1	2	yes	complemented
654	#13133177	C₂³	1	2	yes	complemented
655	#13133176	C₂³	1	2	yes	—
656	#13133176	C₂³	1	1	yes	characteristic
657	#13133176	C₂³	1	1	yes	characteristic
658	#13133176	C₂³	1	1	yes	characteristic
659	#13133176	C₂³	1	4	yes	complemented
660	#13133176	C₂³	1	1	yes	characteristic, complemented
661	#13133176	C₂³	1	2	yes	complemented
662	#13133176	C₂³	1	1	yes	characteristic, complemented
663	#13133176	C₂³	1	2	yes	complemented
664	#13133175	C₂³	1	4	yes	—
665	#13133175	C₂³	1	1	yes	characteristic
666	#13133175	C₂³	1	1	yes	characteristic
667	#13133175	C₂³	1	1	yes	characteristic
668	#13133175	C₂³	1	1	yes	characteristic
669	#13133175	C₂³	1	1	yes	characteristic
670	#13133175	C₂³	1	1	yes	characteristic
671	#13133175	C₂³	1	2	yes	—
672	#13133175	C₂³	1	2	yes	—
673	#13133175	C₂³	1	2	yes	—
674	#13133175	C₂³	1	2	yes	—
675	#13133175	C₂³	1	4	yes	complemented
676	#13133175	C₂³	1	4	yes	complemented
677	#13133175	C₂³	1	1	yes	characteristic, complemented
678	#13133175	C₂³	1	2	yes	complemented
679	#13133175	C₂³	1	1	yes	characteristic, complemented
680	#13133175	C₂³	1	1	yes	characteristic, complemented
681	#13133175	C₂³	1	2	yes	complemented
682	#13133175	C₂³	1	1	yes	characteristic, complemented
683	#13133175	C₂³	1	4	yes	complemented
684	#13133174	C₂³	1	4	yes	—
685	#13133174	C₂³	1	2	yes	—
686	#13133174	C₂³	1	2	yes	—
687	#13133174	C₂³	1	2	yes	—
688	#13133174	C₂³	1	4	yes	complemented
689	#13133174	C₂³	1	4	yes	complemented
690	#13133174	C₂³	1	2	yes	complemented
691	#13133174	C₂³	1	2	yes	complemented
692	#13133173	C₂³	1	2	yes	—
693	#13133173	C₂³	1	2	yes	—
694	#13133173	C₂³	1	2	yes	—
695	#13133173	C₂³	1	2	yes	—
696	#13133173	C₂³	1	2	yes	—
697	#13133173	C₂³	1	4	yes	complemented
698	#13133173	C₂³	1	4	yes	complemented
699	#13133173	C₂³	1	4	yes	complemented
700	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
701	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
702	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
703	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
704	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
705	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
706	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
707	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
708	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
709	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
710	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
711	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
712	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
713	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
714	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
715	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
716	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
717	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
718	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
719	C₂×#11719921	C₂³	1	4	yes	—
720	C₂×#11719921	C₂³	1	4	yes	—
721	C₂×#11719921	C₂³	1	4	yes	—
722	C₂×#11719921	C₂³	1	2	yes	—
723	C₂×#11719921	C₂³	1	2	yes	—
724	C₂×#11719921	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
728	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
729	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
730	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
731	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
732	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
733	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
734	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
735	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
736	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
737	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
738	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
739	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
740	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
741	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
742	C₄²×D₅₃	C₂³	1	2	yes	—
743	C₄²×D₅₃	C₂³	1	2	yes	—
744	C₄²×D₅₃	C₂³	1	2	yes	—
745	C₄²×D₅₃	C₂³	1	4	yes	complemented
746	C₄²×D₅₃	C₂³	1	2	yes	complemented
747	C₄²×D₅₃	C₂³	1	2	yes	complemented
748	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
749	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
750	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
751	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
752	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
753	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
754	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
755	#127×C₅₃	C₂³	1	2	yes	—
756	#126×C₅₃	C₂³	1	4	yes	complemented
757	#126×C₅₃	C₂³	1	4	yes	complemented
758	#125×C₅₃	C₂³	1	2	yes	complemented
759	#125×C₅₃	C₂³	1	2	yes	complemented
760	#124×C₅₃	C₂³	1	2	yes	—
761	#124×C₅₃	C₂³	1	4	yes	complemented
762	#124×C₅₃	C₂³	1	4	yes	complemented
763	#123×C₅₃	C₂³	1	2	yes	—
764	#123×C₅₃	C₂³	1	4	yes	complemented
765	#123×C₅₃	C₂³	1	4	yes	complemented
766	#123×C₅₃	C₂³	1	4	yes	complemented
767	#123×C₅₃	C₂³	1	4	yes	complemented
768	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
769	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
770	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
771	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
772	#121×C₅₃	C₂³	1	2	yes	—
773	#121×C₅₃	C₂³	1	2	yes	—
774	#121×C₅₃	C₂³	1	2	yes	—
775	#121×C₅₃	C₂³	1	2	yes	—
776	#121×C₅₃	C₂³	1	2	yes	—
777	#121×C₅₃	C₂³	1	2	yes	—
778	#121×C₅₃	C₂³	1	4	yes	complemented
779	#121×C₅₃	C₂³	1	4	yes	complemented
780	#121×C₅₃	C₂³	1	4	yes	complemented
781	#121×C₅₃	C₂³	1	1	yes	characteristic, complemented
782	#121×C₅₃	C₂³	1	1	yes	characteristic, complemented
783	#120×C₅₃	C₂³	1	2	yes	—
784	#120×C₅₃	C₂³	1	4	yes	—
785	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
786	C₄×D₄×C₅₃	C₂³	1	4	yes	—
787	C₄×D₄×C₅₃	C₂³	1	2	yes	—
788	C₄×D₄×C₅₃	C₂³	1	2	yes	—
789	C₄×D₄×C₅₃	C₂³	1	2	yes	—
790	C₄×D₄×C₅₃	C₂³	1	2	yes	—
791	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
792	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
793	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
794	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
795	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
796	#117×C₅₃	C₂³	1	1	yes	characteristic
797	#117×C₅₃	C₂³	1	2	yes	—
798	#117×C₅₃	C₂³	1	1	yes	characteristic
799	#117×C₅₃	C₂³	1	1	yes	characteristic
800	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
801	#117×C₅₃	C₂³	1	2	yes	complemented
802	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
803	#117×C₅₃	C₂³	1	4	yes	complemented
804	#117×C₅₃	C₂³	1	2	yes	complemented
805	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
806	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
807	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
809	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
810	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
811	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
812	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
813	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
814	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
815	C₂³×D₅₃	—	2	8	no	—
816	C₂³×D₅₃	—	8	2	no	—
817	C₂³×D₅₃	—	8	2	no	—
818	C₂³×D₅₃	C₂⁴	1	4	yes	—
819	C₂³×D₅₃	C₂⁴	1	2	yes	—
820	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
821	C₂³×D₅₃	C₂⁴	1	2	yes	—
822	C₂³×D₅₃	C₂⁴	1	4	yes	—
823	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
824	#41×C₅₃	—	2	4	no	—
825	#41×C₅₃	—	8	4	no	—
826	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
827	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
828	C₂×D₄×C₅₃	—	2	4	no	—
829	C₂×D₄×C₅₃	—	8	2	no	—
830	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
831	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
832	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
833	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
834	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
837	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
838	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
839	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
840	C₂²×C₄×C₅₃	—	2	4	no	—
841	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
842	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
843	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
844	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
846	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
847	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
849	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
850	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
851	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
852	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
854	C₂×C₂²⋊D₅₃	—	2	4	no	—
855	C₂×C₂²⋊D₅₃	—	2	8	no	—
856	C₂×C₂²⋊D₅₃	—	2	4	no	—
857	C₂×C₂²⋊D₅₃	—	8	2	no	—
858	C₂×C₂²⋊D₅₃	—	8	2	no	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
860	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
861	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
866	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
867	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
869	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
870	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
871	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
872	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
879	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
880	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
881	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
882	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
884	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
885	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
886	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
887	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
888	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
889	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
890	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
891	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
892	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
893	#11719949	—	2	4	no	—
894	#11719949	—	8	4	no	—
895	Q₈×D₅₃	—	2	4	no	—
896	#11719947	—	2	8	no	—
897	#11719947	—	2	4	no	—
898	#11719947	—	8	4	no	—
899	#11719947	—	8	4	no	—
900	#11719947	—	8	4	no	—
901	D₄×D₅₃	—	2	8	no	—
902	D₄×D₅₃	—	2	8	no	—
903	D₄×D₅₃	—	2	8	no	—
904	D₄×D₅₃	—	2	8	no	—
905	D₄×D₅₃	—	2	8	no	—
906	D₄×D₅₃	—	2	4	no	—
907	D₄×D₅₃	—	8	4	no	—
908	D₄×D₅₃	—	8	4	no	—
909	#11719945	—	2	4	no	—
910	#11719945	—	2	8	no	—
911	#11719945	—	2	4	no	—
912	#11719945	—	2	4	no	—
913	#11719945	—	2	4	no	—
914	#11719945	—	2	4	no	—
915	#11719945	—	2	4	no	—
916	#11719945	—	2	4	no	—
917	#11719945	—	2	4	no	—
918	#11719945	—	2	4	no	—
919	#11719945	—	8	4	no	—
920	#11719945	—	8	4	no	—
921	#11719945	—	8	4	no	—
922	C₂×D₂₁₂	—	2	4	no	—
923	C₂×D₂₁₂	—	2	4	no	—
924	C₂×D₂₁₂	—	8	2	no	—
925	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
926	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
927	C₂×D₂₁₂	C₂⁴	1	2	yes	—
928	C₂×D₂₁₂	C₂⁴	1	2	yes	—
929	C₂×D₂₁₂	C₂⁴	1	2	yes	—
930	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
931	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
932	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
933	C₂×D₂₁₂	C₂⁴	1	4	yes	—
934	C₂×D₂₁₂	C₂⁴	1	4	yes	—
935	C₂×D₂₁₂	C₂⁴	1	4	yes	—
936	C₂×D₂₁₂	C₂⁴	1	2	yes	—
937	C₂×D₂₁₂	C₂⁴	1	2	yes	—
938	C₂×D₂₁₂	C₂⁴	1	4	yes	—
939	C₂×C₄×D₅₃	—	2	4	no	—
940	C₂×C₄×D₅₃	—	2	8	no	—
941	C₂×C₄×D₅₃	—	8	4	no	—
942	C₂×C₄×D₅₃	—	8	4	no	—
943	C₂×C₄×D₅₃	#41	1	8	yes	complemented
944	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
945	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
946	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
947	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
948	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
949	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
950	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
951	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
952	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
953	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
954	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
955	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
956	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
957	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
958	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
959	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
960	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
961	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
962	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
963	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
964	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
966	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
967	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
968	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
969	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
970	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
971	C₂×Dic₁₀₆	—	2	4	no	—
972	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
973	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
974	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
975	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
976	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
977	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
978	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
979	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
980	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
981	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
982	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
983	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
984	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
985	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
986	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
987	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
988	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
989	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
990	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
991	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
992	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
993	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
994	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
995	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
996	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
997	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
998	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
999	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1000	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1001	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1002	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1003	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1004	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1005	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1006	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1007	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1008	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1009	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1010	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1011	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1012	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1013	C₄²×C₅₃	C₂⁴	1	2	yes	—
1014	C₄²×C₅₃	C₂⁴	1	2	yes	—
1015	C₄²×C₅₃	C₂⁴	1	2	yes	—
1016	C₄²×C₅₃	C₂⁴	1	2	yes	—
1017	C₄²×C₅₃	C₂⁴	1	2	yes	—
1018	C₄²×C₅₃	C₂⁴	1	4	yes	—
1019	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1020	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1021	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1022	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1023	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1024	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1025	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1026	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1027	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1028	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1029	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1030	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1031	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1032	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1033	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1034	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1035	#11719921	C₂⁴	1	2	yes	—
1036	#11719921	C₂⁴	1	2	yes	—
1037	#11719921	C₂⁴	1	2	yes	—
1038	#11719921	C₂⁴	1	2	yes	—
1039	#11719921	C₂⁴	1	4	yes	—
1040	#11719921	C₂⁴	1	4	yes	—
1041	#11719921	C₂⁴	1	4	yes	—
1042	#11719921	C₂⁴	1	4	yes	—
1043	#11719921	C₂⁴	1	4	yes	—
1044	#11719921	C₂⁴	1	2	yes	—
1045	#11719921	C₂⁴	1	2	yes	—
1046	#11719921	C₂⁴	1	2	yes	—
1047	#11719921	C₂⁴	1	2	yes	—
1048	#11719921	C₂⁴	1	2	yes	—
1049	#11719921	C₂⁴	1	2	yes	—
1050	#11719921	C₂⁴	1	4	yes	—
1051	#11719921	C₂⁴	1	4	yes	—
1052	#11719921	C₂⁴	1	4	yes	—
1053	#11719921	C₂⁴	1	4	yes	—
1054	#11719921	C₂⁴	1	4	yes	—
1055	#11719921	C₂⁴	1	4	yes	—
1056	#11719921	C₂⁴	1	4	yes	—
1057	#11719921	C₂⁴	1	4	yes	—
1058	#11719921	C₂⁴	1	4	yes	—
1059	#11719921	C₂⁴	1	4	yes	—
1060	#11719921	C₂⁴	1	4	yes	—
1061	#11719921	C₂⁴	1	2	yes	—
1062	#11719921	C₂⁴	1	2	yes	—
1063	#11719921	C₂⁴	1	2	yes	—
1064	#11719921	C₂⁴	1	2	yes	—
1065	#11719921	C₂⁴	1	2	yes	—
1066	#11719921	C₂⁴	1	2	yes	—
1067	#11719921	C₂⁴	1	2	yes	—
1068	#11719921	C₂⁴	1	2	yes	—
1069	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1070	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1071	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1072	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1073	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1074	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1075	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1076	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1077	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1078	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1079	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1080	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1081	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1082	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1083	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1084	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1085	#11719919	C₂⁴	1	2	yes	—
1086	#11719919	C₂⁴	1	2	yes	—
1087	#11719919	C₂⁴	1	2	yes	—
1088	#11719919	C₂⁴	1	2	yes	—
1089	#11719919	C₂⁴	1	2	yes	—
1090	#11719919	C₂⁴	1	2	yes	—
1091	#11719919	C₂⁴	1	2	yes	—
1092	#11719919	C₂⁴	1	2	yes	—
1093	#11719919	C₂⁴	1	2	yes	—
1094	#11719919	C₂⁴	1	2	yes	—
1095	#11719919	C₂⁴	1	4	yes	—
1096	#11719919	C₂⁴	1	4	yes	—
1097	#11719919	C₂⁴	1	2	yes	—
1098	#11719919	C₂⁴	1	2	yes	—
1099	#11719919	C₂⁴	1	4	yes	—
1100	#11719919	C₂⁴	1	4	yes	—
1101	#11719919	C₂⁴	1	2	yes	—
1102	#11719919	C₂⁴	1	2	yes	—
1103	#11719919	C₂⁴	1	4	yes	—
1104	#11719919	C₂⁴	1	4	yes	—
1105	#11719919	C₂⁴	1	4	yes	—
1106	#11719919	C₂⁴	1	4	yes	—
1107	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1108	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1109	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1110	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1111	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1112	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1113	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1114	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1115	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1116	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1117	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1118	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1119	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1120	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1121	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1122	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1123	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1124	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1125	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1126	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1127	C₂³×C₅₃	—	2	2	no	—
1128	C₂³×C₅₃	—	2	4	no	—
1129	C₂³×C₅₃	—	4	1	no	—
1130	C₂³×C₅₃	—	4	2	no	—
1131	C₂³×C₅₃	—	4	1	no	—
1132	C₂³×C₅₃	—	4	2	no	—
1133	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1134	C₂³×C₅₃	C₂⁵	1	2	yes	—
1135	C₂³×C₅₃	C₂⁵	1	4	yes	—
1136	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1137	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1138	C₂²×D₅₃	—	2	2	no	—
1139	C₂²×D₅₃	—	2	4	no	—
1140	C₂²×D₅₃	—	2	8	no	—
1141	C₂²×D₅₃	—	2	4	no	—
1142	C₂²×D₅₃	—	2	8	no	—
1143	C₂²×D₅₃	—	4	4	no	—
1144	C₂²×D₅₃	—	4	4	no	—
1145	C₂²×D₅₃	—	4	1	no	—
1146	C₂²×D₅₃	—	4	1	no	—
1147	C₂²×D₅₃	—	4	1	no	—
1148	C₂²×D₅₃	—	4	2	no	—
1149	C₂²×D₅₃	—	4	2	no	—
1150	C₂²×D₅₃	—	4	2	no	—
1151	C₂²×D₅₃	—	4	4	no	—
1152	C₂²×D₅₃	—	4	4	no	—
1153	C₂²×D₅₃	—	4	1	no	—
1154	C₂²×D₅₃	—	4	2	no	—
1155	C₂²×D₅₃	—	8	16	no	—
1156	C₂²×D₅₃	C₂×#41	1	4	yes	—
1157	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1158	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1159	C₂²×D₅₃	C₂⁵	1	2	yes	—
1160	C₂²×D₅₃	C₂⁵	1	4	yes	—
1161	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1162	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1163	Q₈×C₅₃	—	2	2	no	—
1164	Q₈×C₅₃	—	4	4	no	—
1165	D₄×C₅₃	—	2	4	no	—
1166	D₄×C₅₃	—	2	4	no	—
1167	D₄×C₅₃	—	2	4	no	—
1168	D₄×C₅₃	—	2	2	no	—
1169	D₄×C₅₃	—	4	4	no	—
1170	D₄×C₅₃	—	4	4	no	—
1171	D₄×C₅₃	—	4	2	no	—
1172	D₄×C₅₃	—	4	4	no	—
1173	D₄×C₅₃	—	4	4	no	—
1174	D₄×C₅₃	—	4	2	no	—
1175	C₂×C₄×C₅₃	—	2	2	no	—
1176	C₂×C₄×C₅₃	—	2	4	no	—
1177	C₂×C₄×C₅₃	—	2	2	no	—
1178	C₂×C₄×C₅₃	—	2	2	no	—
1179	C₂×C₄×C₅₃	—	2	2	no	—
1180	C₂×C₄×C₅₃	—	2	2	no	—
1181	C₂×C₄×C₅₃	—	4	4	no	—
1182	C₂×C₄×C₅₃	—	4	4	no	—
1183	C₂×C₄×C₅₃	—	4	2	no	—
1184	C₂×C₄×C₅₃	—	4	2	no	—
1185	C₂×C₄×C₅₃	—	4	4	no	—
1186	C₂×C₄×C₅₃	—	4	2	no	—
1187	C₂×C₄×C₅₃	C₂×#41	1	4	yes	—
1188	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1189	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1190	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1191	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1192	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1193	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1194	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1195	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1196	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1197	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1198	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1199	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1200	C₂²⋊D₅₃	—	2	4	no	—
1201	C₂²⋊D₅₃	—	2	2	no	—
1202	C₂²⋊D₅₃	—	2	2	no	—
1203	C₂²⋊D₅₃	—	2	2	no	—
1204	C₂²⋊D₅₃	—	2	2	no	—
1205	C₂²⋊D₅₃	—	2	4	no	—
1206	C₂²⋊D₅₃	—	2	2	no	—
1207	C₂²⋊D₅₃	—	2	2	no	—
1208	C₂²⋊D₅₃	—	2	2	no	—
1209	C₂²⋊D₅₃	—	2	2	no	—
1210	C₂²⋊D₅₃	—	2	4	no	—
1211	C₂²⋊D₅₃	—	2	8	no	—
1212	C₂²⋊D₅₃	—	2	8	no	—
1213	C₂²⋊D₅₃	—	4	2	no	—
1214	C₂²⋊D₅₃	—	4	2	no	—
1215	C₂²⋊D₅₃	—	4	4	no	—
1216	C₂²⋊D₅₃	—	4	4	no	—
1217	C₂²⋊D₅₃	—	4	4	no	—
1218	C₂²⋊D₅₃	—	4	4	no	—
1219	C₂²⋊D₅₃	—	4	4	no	—
1220	C₂²⋊D₅₃	—	4	4	no	—
1221	C₂²⋊D₅₃	—	4	2	no	—
1222	C₂²⋊D₅₃	—	4	2	no	—
1223	C₂²⋊D₅₃	—	4	4	no	—
1224	C₂²⋊D₅₃	—	4	4	no	—
1225	C₂×Dic₅₃	—	2	2	no	—
1226	C₂×Dic₅₃	—	2	4	no	—
1227	C₂×Dic₅₃	—	4	4	no	—
1228	C₂×Dic₅₃	—	4	4	no	—
1229	C₂×Dic₅₃	—	4	2	no	—
1230	C₂×Dic₅₃	—	4	2	no	—
1231	C₂×Dic₅₃	—	4	4	no	—
1232	C₂×Dic₅₃	—	4	2	no	—
1233	C₂×Dic₅₃	C₂×#41	1	4	yes	—
1234	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1235	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1236	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1237	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1238	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1239	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1240	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1241	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1242	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1243	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1244	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1245	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1246	D₂₁₂	—	2	2	no	—
1247	D₂₁₂	—	2	2	no	—
1248	D₂₁₂	—	2	2	no	—
1249	D₂₁₂	—	2	2	no	—
1250	D₂₁₂	—	2	4	no	—
1251	D₂₁₂	—	2	4	no	—
1252	D₂₁₂	—	2	4	no	—
1253	D₂₁₂	—	2	2	no	—
1254	D₂₁₂	—	4	4	no	—
1255	D₂₁₂	—	4	4	no	—
1256	D₂₁₂	—	4	2	no	—
1257	D₂₁₂	—	4	4	no	—
1258	D₂₁₂	—	4	4	no	—
1259	D₂₁₂	—	4	2	no	—
1260	C₄×D₅₃	—	2	4	no	—
1261	C₄×D₅₃	—	2	2	no	—
1262	C₄×D₅₃	—	2	2	no	—
1263	C₄×D₅₃	—	2	2	no	—
1264	C₄×D₅₃	—	2	2	no	—
1265	C₄×D₅₃	—	2	4	no	—
1266	C₄×D₅₃	—	2	4	no	—
1267	C₄×D₅₃	—	4	2	no	—
1268	C₄×D₅₃	—	4	2	no	—
1269	C₄×D₅₃	—	4	2	no	—
1270	C₄×D₅₃	—	4	2	no	—
1271	C₄×D₅₃	—	4	4	no	—
1272	C₄×D₅₃	—	4	4	no	—
1273	C₄×D₅₃	—	4	4	no	—
1274	C₄×D₅₃	—	4	4	no	—
1275	C₄×D₅₃	—	4	2	no	—
1276	C₄×D₅₃	—	4	2	no	—
1277	C₄×D₅₃	—	4	4	no	—
1278	C₄×D₅₃	—	4	2	no	—
1279	C₄×D₅₃	—	4	2	no	—
1280	C₄×D₅₃	—	4	2	no	—
1281	C₄×D₅₃	—	4	4	no	—
1282	C₄×D₅₃	—	4	2	no	—
1283	C₄×D₅₃	C₂×#41	1	4	yes	—
1284	C₄×D₅₃	C₂×#41	1	4	yes	—
1285	C₄×D₅₃	C₂×#41	1	4	yes	—
1286	C₄×D₅₃	C₂×#41	1	4	yes	—
1287	Dic₁₀₆	—	2	2	no	—
1288	Dic₁₀₆	—	2	2	no	—
1289	Dic₁₀₆	—	2	2	no	—
1290	Dic₁₀₆	—	2	2	no	—
1291	Dic₁₀₆	—	2	2	no	—
1292	Dic₁₀₆	—	2	4	no	—
1293	Dic₁₀₆	—	4	4	no	—
1294	Dic₁₀₆	—	4	4	no	—
1295	Dic₁₀₆	—	4	4	no	—
1296	#62855	—	53	1	no	maximal, Sylow
1297	C₂²×C₅₃	—	2	1	no	—
1298	C₂²×C₅₃	—	2	1	no	—
1299	C₂²×C₅₃	—	2	2	no	—
1300	C₂²×C₅₃	—	2	1	no	—
1301	C₂²×C₅₃	—	2	1	no	—
1302	C₂²×C₅₃	—	2	4	no	—
1303	C₂²×C₅₃	—	2	1	no	—
1304	C₂²×C₅₃	—	2	2	no	—
1305	C₂²×C₅₃	—	2	1	no	—
1306	C₂²×C₅₃	—	2	4	no	—
1307	C₂²×C₅₃	—	2	4	no	—
1308	C₂²×C₅₃	—	2	1	no	—
1309	C₂²×C₅₃	—	2	2	no	—
1310	C₂²×C₅₃	—	2	1	no	—
1311	C₂²×C₅₃	—	8	4	no	—
1312	C₂²×C₅₃	—	8	2	no	—
1313	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1314	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1315	C₂×D₅₃	—	2	1	no	—
1316	C₂×D₅₃	—	2	1	no	—
1317	C₂×D₅₃	—	2	1	no	—
1318	C₂×D₅₃	—	2	1	no	—
1319	C₂×D₅₃	—	2	1	no	—
1320	C₂×D₅₃	—	2	1	no	—
1321	C₂×D₅₃	—	2	2	no	—
1322	C₂×D₅₃	—	2	4	no	—
1323	C₂×D₅₃	—	2	1	no	—
1324	C₂×D₅₃	—	2	1	no	—
1325	C₂×D₅₃	—	2	2	no	—
1326	C₂×D₅₃	—	2	2	no	—
1327	C₂×D₅₃	—	2	4	no	—
1328	C₂×D₅₃	—	2	1	no	—
1329	C₂×D₅₃	—	2	4	no	—
1330	C₂×D₅₃	—	2	1	no	—
1331	C₂×D₅₃	—	4	4	no	—
1332	C₂×D₅₃	—	4	16	no	—
1333	C₂×D₅₃	—	8	4	no	—
1334	C₂×D₅₃	—	8	8	no	—
1335	C₂×D₅₃	—	8	2	no	—
1336	C₂×D₅₃	—	8	4	no	—
1337	C₂×D₅₃	C₂²×#41	1	2	yes	—
1338	C₂×D₅₃	C₂²×#41	1	2	yes	—
1339	C₄×C₅₃	—	2	1	no	—
1340	C₄×C₅₃	—	2	1	no	—
1341	C₄×C₅₃	—	2	2	no	—
1342	C₄×C₅₃	—	2	2	no	—
1343	C₄×C₅₃	—	2	2	no	—
1344	C₄×C₅₃	—	2	4	no	—
1345	C₄×C₅₃	—	2	2	no	—
1346	C₄×C₅₃	—	2	2	no	—
1347	C₄×C₅₃	—	2	2	no	—
1348	C₄×C₅₃	—	2	2	no	—
1349	C₄×C₅₃	C₂²×#41	1	2	yes	—
1350	C₄×C₅₃	C₂²×#41	1	2	yes	—
1351	Dic₅₃	—	2	2	no	—
1352	Dic₅₃	—	2	1	no	—
1353	Dic₅₃	—	2	1	no	—
1354	Dic₅₃	—	2	2	no	—
1355	Dic₅₃	—	2	2	no	—
1356	Dic₅₃	—	2	2	no	—
1357	Dic₅₃	—	2	2	no	—
1358	Dic₅₃	—	2	4	no	—
1359	Dic₅₃	—	2	2	no	—
1360	Dic₅₃	—	2	2	no	—
1361	Dic₅₃	C₂²×#41	1	2	yes	—
1362	Dic₅₃	C₂²×#41	1	2	yes	—
1363	#3510	—	53	4	no	—
1364	#3510	—	53	2	no	—
1365	#3510	—	53	2	no	—
1366	#3508	—	53	4	no	—
1367	#3508	—	53	2	no	—
1368	#3508	—	53	2	no	—
1369	#3506	—	53	2	no	—
1370	#3506	—	53	2	no	—
1371	#3506	—	53	2	no	—
1372	#3506	—	53	2	no	—
1373	#3494	—	53	2	no	—
1374	#3494	—	53	2	no	—
1375	#3494	—	53	2	no	—
1376	#3494	—	53	2	no	—
1377	#3494	—	53	1	no	—
1378	#3494	—	53	1	no	—
1379	#3494	—	53	1	no	—
1380	#3494	—	53	1	no	—
1381	#3494	—	53	1	no	—
1382	#3494	—	53	1	no	—
1383	#3494	—	53	1	no	—
1384	#3494	D₅₃	1	1	yes	characteristic, complemented
1385	#3490	—	53	4	no	—
1386	#3490	—	53	4	no	—
1387	#3460	—	53	2	no	—
1388	#3460	—	53	2	no	—
1389	#3460	—	53	2	no	—
1390	#3460	—	53	2	no	—
1391	#3458	—	53	1	no	—
1392	#3449	—	53	1	no	—
1393	C₂×#535	—	53	1	no	—
1394	C₂×#535	—	53	1	no	—
1395	#3428	—	53	1	no	—
1396	#3428	—	53	1	no	—
1397	C₂×#518	—	53	1	no	—
1398	C₂×C₅₃	—	2	2	no	—
1399	C₂×C₅₃	—	4	4	no	—
1400	C₂×C₅₃	—	4	2	no	—
1401	C₂×C₅₃	—	4	1	no	—
1402	C₂×C₅₃	—	4	1	no	—
1403	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1404	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1405	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1406	D₅₃	—	2	2	no	—
1407	D₅₃	—	2	2	no	—
1408	D₅₃	—	4	4	no	—
1409	D₅₃	—	4	1	no	—
1410	D₅₃	—	4	1	no	—
1411	D₅₃	—	4	2	no	—
1412	C₂²×#41	—	53	1	no	—
1413	C₂²×#41	—	53	1	no	—
1414	C₂³×D₄	—	53	1	no	—
1415	#559	—	53	4	no	—
1416	#559	—	53	4	no	—
1417	#559	—	53	4	no	—
1418	#559	—	53	4	no	—
1419	#559	—	53	4	no	—
1420	#559	—	53	4	no	—
1421	#559	—	53	4	no	—
1422	#559	—	53	4	no	—
1423	#556	—	53	4	no	—
1424	#556	—	53	4	no	—
1425	#556	—	53	4	no	—
1426	#556	—	53	4	no	—
1427	#555	—	53	2	no	—
1428	#555	—	53	2	no	—
1429	#555	—	53	2	no	—
1430	#555	—	53	2	no	—
1431	#555	—	53	2	no	—
1432	#555	—	53	2	no	—
1433	#555	—	53	2	no	—
1434	#555	C₂×D₅₃	1	2	yes	complemented
1435	#553	—	53	2	no	—
1436	#553	—	53	2	no	—
1437	#553	—	53	2	no	—
1438	#553	—	53	2	no	—
1439	#553	—	53	2	no	—
1440	#553	—	53	2	no	—
1441	#553	—	53	2	no	—
1442	#553	—	53	2	no	—
1443	#553	—	53	2	no	—
1444	#553	—	53	2	no	—
1445	#553	—	53	2	no	—
1446	#553	—	53	2	no	—
1447	#553	—	53	2	no	—
1448	#553	—	53	2	no	—
1449	#553	C₂×D₅₃	1	2	yes	complemented
1450	#553	C₂×D₅₃	1	2	yes	complemented
1451	#551	—	53	4	no	—
1452	#551	—	53	4	no	—
1453	#551	—	53	4	no	—
1454	#551	—	53	4	no	—
1455	#551	—	53	4	no	—
1456	#551	—	53	4	no	—
1457	#551	—	53	4	no	—
1458	#551	—	53	4	no	—
1459	#551	—	53	4	no	—
1460	#551	—	53	4	no	—
1461	#551	—	53	4	no	—
1462	#551	—	53	4	no	—
1463	#551	—	53	4	no	—
1464	#551	—	53	4	no	—
1465	#551	—	53	4	no	—
1466	#551	C₂×D₅₃	1	4	yes	complemented
1467	#550	—	53	4	no	—
1468	#550	—	53	4	no	—
1469	#550	—	53	4	no	—
1470	#550	—	53	4	no	—
1471	#547	—	53	2	no	—
1472	#547	—	53	2	no	—
1473	#547	—	53	2	no	—
1474	#547	—	53	2	no	—
1475	#547	—	53	2	no	—
1476	#547	—	53	2	no	—
1477	#547	—	53	2	no	—
1478	#547	C₂×D₅₃	1	2	yes	complemented
1479	#546	—	53	4	no	—
1480	#546	—	53	4	no	—
1481	#546	—	53	4	no	—
1482	#546	—	53	4	no	—
1483	#546	—	53	4	no	—
1484	#546	—	53	4	no	—
1485	#546	—	53	4	no	—
1486	#546	—	53	4	no	—
1487	#546	—	53	4	no	—
1488	#546	—	53	4	no	—
1489	#546	—	53	4	no	—
1490	#546	—	53	4	no	—
1491	#546	—	53	4	no	—
1492	#546	—	53	4	no	—
1493	#546	—	53	4	no	—
1494	#546	C₂×D₅₃	1	4	yes	complemented
1495	#544	—	53	2	no	—
1496	#544	—	53	2	no	—
1497	#544	—	53	2	no	—
1498	#544	—	53	2	no	—
1499	#544	—	53	1	no	—
1500	#544	—	53	1	no	—
1501	#544	—	53	1	no	—
1502	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
1503	#543	—	53	4	no	—
1504	#542	—	53	2	no	—
1505	#542	—	53	4	no	—
1506	#542	—	53	2	no	—
1507	#542	—	53	4	no	—
1508	#542	—	53	4	no	—
1509	#542	—	53	4	no	—
1510	#542	—	53	2	no	—
1511	#542	—	53	2	no	—
1512	#542	—	53	2	no	—
1513	#542	—	53	2	no	—
1514	#542	—	53	2	no	—
1515	#542	C₂×D₅₃	1	2	yes	complemented
1516	#540	—	53	2	no	—
1517	#540	—	53	2	no	—
1518	#540	—	53	4	no	—
1519	#540	—	53	4	no	—
1520	#540	—	53	2	no	—
1521	#540	—	53	4	no	—
1522	#540	—	53	4	no	—
1523	#540	—	53	2	no	—
1524	#540	—	53	2	no	—
1525	#540	—	53	2	no	—
1526	#540	—	53	2	no	—
1527	#540	C₂×D₅₃	1	2	yes	complemented
1528	#538	—	53	4	no	—
1529	#538	—	53	4	no	—
1530	#538	—	53	4	no	—
1531	#538	—	53	4	no	—
1532	#538	—	53	4	no	—
1533	#538	—	53	4	no	—
1534	#538	—	53	4	no	—
1535	#538	—	53	4	no	—
1536	#537	—	53	1	no	—
1537	#537	—	53	1	no	—
1538	#537	—	53	1	no	—
1539	#537	—	53	1	no	—
1540	#536	—	53	2	no	—
1541	#536	—	53	1	no	—
1542	#536	—	53	1	no	—
1543	#535	—	53	1	no	—
1544	#535	—	53	1	no	—
1545	#535	—	53	2	no	—
1546	#535	—	53	2	no	—
1547	#535	—	53	2	no	—
1548	#535	—	53	2	no	—
1549	#535	—	53	2	no	—
1550	#535	—	53	2	no	—
1551	#535	—	53	2	no	—
1552	#535	—	53	2	no	—
1553	#535	—	53	2	no	—
1554	#535	—	53	2	no	—
1555	#535	—	53	2	no	—
1556	#535	—	53	2	no	—
1557	#535	—	53	1	no	—
1558	#535	—	53	1	no	—
1559	#535	—	53	4	no	—
1560	#535	—	53	2	no	—
1561	#535	—	53	1	no	—
1562	#535	C₂×D₅₃	1	1	yes	characteristic
1563	#534	—	53	2	no	—
1564	#534	—	53	2	no	—
1565	#533	—	53	2	no	—
1566	#533	—	53	2	no	—
1567	#533	—	53	2	no	—
1568	#533	—	53	2	no	—
1569	#533	—	53	4	no	—
1570	#532	—	53	4	no	—
1571	#532	—	53	2	no	—
1572	#532	—	53	2	no	—
1573	#532	—	53	4	no	—
1574	#532	—	53	2	no	—
1575	#532	—	53	2	no	—
1576	#532	—	53	4	no	—
1577	#532	—	53	2	no	—
1578	#532	—	53	2	no	—
1579	#532	—	53	2	no	—
1580	#532	—	53	4	no	—
1581	#532	—	53	2	no	—
1582	#532	—	53	2	no	—
1583	#532	C₂×D₅₃	1	2	yes	complemented
1584	C₂×#127	—	53	2	no	—
1585	C₂×#127	—	53	2	no	—
1586	#529	—	53	4	no	—
1587	#529	—	53	2	no	—
1588	#529	—	53	2	no	—
1589	#529	—	53	4	no	—
1590	#529	—	53	2	no	—
1591	#529	—	53	2	no	—
1592	#529	—	53	2	no	—
1593	#529	—	53	2	no	—
1594	#529	—	53	4	no	—
1595	#529	—	53	4	no	—
1596	#529	—	53	2	no	—
1597	#529	C₂×D₅₃	1	2	yes	complemented
1598	C₂×#124	—	53	2	no	—
1599	C₂×#124	—	53	2	no	—
1600	#525	—	53	1	no	—
1601	#525	—	53	4	no	—
1602	#525	—	53	1	no	—
1603	#525	—	53	4	no	—
1604	#525	—	53	4	no	—
1605	#525	—	53	4	no	—
1606	#525	—	53	4	no	—
1607	#525	—	53	2	no	—
1608	#525	—	53	2	no	—
1609	#525	—	53	4	no	—
1610	#525	—	53	4	no	—
1611	#525	—	53	1	no	—
1612	#525	—	53	4	no	—
1613	#525	C₂×D₅₃	1	1	yes	characteristic, complemented
1614	C₂×#121	—	53	1	no	—
1615	C₂×#121	—	53	1	no	—
1616	C₂×#121	—	53	2	no	—
1617	C₂×#121	—	53	2	no	—
1618	C₂×#121	—	53	1	no	—
1619	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1620	C₂×#120	—	53	2	no	—
1621	C₂×#120	—	53	4	no	—
1622	C₂×#120	—	53	2	no	—
1623	#520	—	53	1	no	—
1624	#520	—	53	1	no	—
1625	#520	—	53	1	no	—
1626	#520	—	53	1	no	—
1627	#520	—	53	2	no	—
1628	#520	—	53	1	no	—
1629	#520	—	53	1	no	—
1630	#520	—	53	1	no	—
1631	#520	—	53	1	no	—
1632	#520	—	53	1	no	—
1633	#520	—	53	2	no	—
1634	#520	—	53	1	no	—
1635	#520	—	53	1	no	—
1636	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
1637	#519	—	53	2	no	—
1638	#519	—	53	2	no	—
1639	#518	—	53	1	no	—
1640	#518	—	53	4	no	—
1641	#518	—	53	2	no	—
1642	#518	—	53	2	no	—
1643	#518	—	53	2	no	—
1644	#518	—	53	2	no	—
1645	#518	—	53	2	no	—
1646	#518	—	53	2	no	—
1647	#518	—	53	1	no	—
1648	#518	—	53	1	no	—
1649	#518	—	53	2	no	—
1650	#518	—	53	4	no	—
1651	#518	—	53	2	no	—
1652	#518	C₂×D₅₃	1	1	yes	characteristic, complemented
1653	C₄×#41	—	53	2	no	—
1654	C₄×#41	—	53	4	no	—
1655	C₄×#41	—	53	2	no	—
1656	C₄×#41	—	53	2	no	—
1657	C₄×#41	—	53	2	no	—
1658	C₄×#41	—	53	2	no	—
1659	C₄×#41	—	53	2	no	—
1660	C₂×C₄×D₄	—	53	2	no	—
1661	C₂×C₄×D₄	—	53	2	no	—
1662	C₂×C₄×D₄	—	53	2	no	—
1663	C₂×C₄×D₄	—	53	2	no	—
1664	C₂×#117	—	53	1	no	—
1665	C₂×#117	—	53	1	no	—
1666	C₂×#117	—	53	1	no	—
1667	C₂×#117	—	53	1	no	—
1668	C₂×#117	—	53	1	no	—
1669	C₂×#117	—	53	1	no	—
1670	C₂×#117	—	53	2	no	—
1671	C₂×#117	—	53	1	no	—
1672	C₂×#117	—	53	2	no	—
1673	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1674	C₂²×C₂²⋊C₄	—	53	4	no	—
1675	C₅₃	#62855	1	1	yes	characteristic, complemented, Sylow
1676	C₂⁵	—	53	2	no	—
1677	C₂×#41	—	53	1	no	—
1678	C₂×#41	—	53	4	no	—
1679	C₂×#41	—	53	2	no	—
1680	C₂×#41	—	53	1	no	—
1681	C₂×#41	—	53	4	no	—
1682	C₂×#41	—	53	4	no	—
1683	C₂×#41	—	53	4	no	—
1684	C₂×#41	—	53	1	no	—
1685	C₂×#41	—	53	1	no	—
1686	C₂×#41	—	53	1	no	—
1687	C₂×#41	—	53	1	no	—
1688	C₂×#41	—	53	1	no	—
1689	C₂×#41	—	53	1	no	—
1690	C₂×#41	—	53	1	no	—
1691	C₂×#41	—	53	1	no	—
1692	C₂×#41	—	53	2	no	—
1693	C₂×#41	—	53	1	no	—
1694	C₂×#41	—	53	4	no	—
1695	C₂×#41	—	53	4	no	—
1696	C₂×#41	—	53	4	no	—
1697	C₂×#41	—	106	8	no	—
1698	C₂×#41	—	106	8	no	—
1699	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1700	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1701	C₂²×Q₈	—	53	1	no	—
1702	C₂²×Q₈	—	53	1	no	—
1703	C₂²×D₄	—	53	1	no	—
1704	C₂²×D₄	—	53	2	no	—
1705	C₂²×D₄	—	53	1	no	—
1706	C₂²×D₄	—	53	2	no	—
1707	C₂²×D₄	—	53	2	no	—
1708	C₂²×D₄	—	53	2	no	—
1709	C₂²×D₄	—	53	2	no	—
1710	C₂²×D₄	—	53	2	no	—
1711	C₂²×D₄	—	53	2	no	—
1712	C₂²×D₄	—	53	2	no	—
1713	C₂²×D₄	—	53	1	no	—
1714	C₂²×D₄	—	53	4	no	—
1715	C₂²×D₄	—	53	4	no	—
1716	C₂²×D₄	—	53	1	no	—
1717	C₂²×D₄	—	53	1	no	—
1718	C₂²×D₄	—	53	2	no	—
1719	C₂²×D₄	—	106	8	no	—
1720	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1721	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1722	C₂³×C₄	—	53	1	no	—
1723	C₂³×C₄	—	53	2	no	—
1724	C₂³×C₄	—	53	1	no	—
1725	C₂³×C₄	—	53	4	no	—
1726	C₂³×C₄	—	53	4	no	—
1727	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1728	C₄⋊Q₈	—	53	4	no	—
1729	C₄⋊Q₈	—	53	4	no	—
1730	C₄⋊Q₈	—	53	2	no	—
1731	C₄⋊Q₈	—	53	2	no	—
1732	C₄⋊Q₈	—	53	2	no	—
1733	C₄⋊Q₈	—	53	2	no	—
1734	C₄⋊Q₈	—	53	2	no	—
1735	C₄⋊Q₈	—	53	2	no	—
1736	C₄⋊Q₈	—	53	2	no	—
1737	C₄⋊Q₈	—	53	2	no	—
1738	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1739	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1740	#127	—	53	4	no	—
1741	#127	—	53	4	no	—
1742	#127	—	53	2	no	—
1743	#127	—	53	2	no	—
1744	#127	—	53	4	no	—
1745	#127	—	53	4	no	—
1746	#127	—	53	4	no	—
1747	#127	—	53	4	no	—
1748	#127	—	53	2	no	—
1749	#127	—	53	2	no	—
1750	#127	—	53	2	no	—
1751	#127	C₂²×D₅₃	1	2	yes	—
1752	#126	—	53	4	no	—
1753	#126	—	53	4	no	—
1754	#126	—	53	4	no	—
1755	#126	—	53	4	no	—
1756	#126	—	53	4	no	—
1757	#126	—	53	4	no	—
1758	#126	—	53	4	no	—
1759	#126	—	53	4	no	—
1760	#126	—	53	4	no	—
1761	#126	—	53	4	no	—
1762	#126	—	53	4	no	—
1763	#126	—	53	4	no	—
1764	#126	—	53	4	no	—
1765	#126	—	53	4	no	—
1766	#126	C₂²×D₅₃	1	4	yes	complemented
1767	#126	C₂²×D₅₃	1	4	yes	complemented
1768	#125	—	53	4	no	—
1769	#125	—	53	4	no	—
1770	#125	—	53	2	no	—
1771	#125	—	53	2	no	—
1772	#125	—	53	2	no	—
1773	#125	—	53	2	no	—
1774	#125	—	53	2	no	—
1775	#125	—	53	2	no	—
1776	#125	C₂²×D₅₃	1	2	yes	complemented
1777	#125	C₂²×D₅₃	1	2	yes	complemented
1778	#124	—	53	2	no	—
1779	#124	—	53	4	no	—
1780	#124	—	53	4	no	—
1781	#124	—	53	2	no	—
1782	#124	—	53	4	no	—
1783	#124	—	53	4	no	—
1784	#124	—	53	4	no	—
1785	#124	—	53	4	no	—
1786	#124	—	53	4	no	—
1787	#124	—	53	4	no	—
1788	#124	—	53	4	no	—
1789	#124	—	53	4	no	—
1790	#124	—	53	2	no	—
1791	#124	—	53	2	no	—
1792	#124	—	53	2	no	—
1793	#124	—	53	2	no	—
1794	#124	—	53	4	no	—
1795	#124	—	53	4	no	—
1796	#124	—	53	4	no	—
1797	#124	—	53	4	no	—
1798	#124	—	53	4	no	—
1799	#124	—	53	4	no	—
1800	#124	—	53	4	no	—
1801	#124	—	53	4	no	—
1802	#124	—	53	2	no	—
1803	#124	—	53	4	no	—
1804	#124	—	53	4	no	—
1805	#124	C₂²×D₅₃	1	2	yes	—
1806	#124	C₂²×D₅₃	1	4	yes	complemented
1807	#124	C₂²×D₅₃	1	4	yes	complemented
1808	#123	—	53	2	no	—
1809	#123	—	53	4	no	—
1810	#123	—	53	4	no	—
1811	#123	—	53	4	no	—
1812	#123	—	53	4	no	—
1813	#123	—	53	2	no	—
1814	#123	—	53	4	no	—
1815	#123	—	53	4	no	—
1816	#123	—	53	4	no	—
1817	#123	—	53	4	no	—
1818	#123	—	53	2	no	—
1819	#123	—	53	2	no	—
1820	#123	—	53	4	no	—
1821	#123	—	53	4	no	—
1822	#123	—	53	4	no	—
1823	#123	—	53	4	no	—
1824	#123	—	53	4	no	—
1825	#123	—	53	4	no	—
1826	#123	—	53	4	no	—
1827	#123	—	53	4	no	—
1828	#123	—	53	2	no	—
1829	#123	—	53	2	no	—
1830	#123	—	53	2	no	—
1831	#123	—	53	4	no	—
1832	#123	—	53	4	no	—
1833	#123	—	53	4	no	—
1834	#123	—	53	4	no	—
1835	#123	—	53	4	no	—
1836	#123	—	53	4	no	—
1837	#123	—	53	4	no	—
1838	#123	—	53	4	no	—
1839	#123	—	53	4	no	—
1840	#123	—	53	4	no	—
1841	#123	—	53	4	no	—
1842	#123	—	53	4	no	—
1843	#123	C₂²×D₅₃	1	2	yes	—
1844	#123	C₂²×D₅₃	1	4	yes	complemented
1845	#123	C₂²×D₅₃	1	4	yes	complemented
1846	#123	C₂²×D₅₃	1	4	yes	complemented
1847	#123	C₂²×D₅₃	1	4	yes	complemented
1848	C₂²⋊Q₈	—	53	4	no	—
1849	C₂²⋊Q₈	—	53	1	no	—
1850	C₂²⋊Q₈	—	53	1	no	—
1851	C₂²⋊Q₈	—	53	4	no	—
1852	C₂²⋊Q₈	—	53	4	no	—
1853	C₂²⋊Q₈	—	53	1	no	—
1854	C₂²⋊Q₈	—	53	1	no	—
1855	C₂²⋊Q₈	—	53	4	no	—
1856	C₂²⋊Q₈	—	53	4	no	—
1857	C₂²⋊Q₈	—	53	4	no	—
1858	C₂²⋊Q₈	—	53	4	no	—
1859	C₂²⋊Q₈	—	53	4	no	—
1860	C₂²⋊Q₈	—	53	2	no	—
1861	C₂²⋊Q₈	—	53	2	no	—
1862	C₂²⋊Q₈	—	53	1	no	—
1863	C₂²⋊Q₈	—	53	1	no	—
1864	C₂²⋊Q₈	—	53	4	no	—
1865	C₂²⋊Q₈	—	53	4	no	—
1866	C₂²⋊Q₈	—	53	4	no	—
1867	C₂²⋊Q₈	—	53	4	no	—
1868	C₂²⋊Q₈	—	53	4	no	—
1869	C₂²⋊Q₈	—	53	4	no	—
1870	C₂²⋊Q₈	—	53	2	no	—
1871	C₂²⋊Q₈	—	53	2	no	—
1872	C₂²⋊Q₈	—	53	4	no	—
1873	C₂²⋊Q₈	—	53	4	no	—
1874	C₂²⋊Q₈	—	53	4	no	—
1875	C₂²⋊Q₈	—	53	4	no	—
1876	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1877	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1878	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1879	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1880	#121	—	53	2	no	—
1881	#121	—	53	2	no	—
1882	#121	—	53	4	no	—
1883	#121	—	53	4	no	—
1884	#121	—	53	2	no	—
1885	#121	—	53	2	no	—
1886	#121	—	53	2	no	—
1887	#121	—	53	2	no	—
1888	#121	—	53	2	no	—
1889	#121	—	53	2	no	—
1890	#121	—	53	1	no	—
1891	#121	—	53	1	no	—
1892	#121	—	53	2	no	—
1893	#121	—	53	2	no	—
1894	#121	—	53	4	no	—
1895	#121	—	53	4	no	—
1896	#121	—	53	4	no	—
1897	#121	—	53	4	no	—
1898	#121	—	53	4	no	—
1899	#121	—	53	4	no	—
1900	#121	—	53	4	no	—
1901	#121	—	53	4	no	—
1902	#121	—	53	4	no	—
1903	#121	—	53	2	no	—
1904	#121	—	53	2	no	—
1905	#121	—	53	2	no	—
1906	#121	—	53	2	no	—
1907	#121	—	53	2	no	—
1908	#121	—	53	2	no	—
1909	#121	—	53	1	no	—
1910	#121	—	53	1	no	—
1911	#121	—	53	4	no	—
1912	#121	—	53	4	no	—
1913	#121	—	53	4	no	—
1914	#121	—	53	2	no	—
1915	#121	—	53	2	no	—
1916	#121	—	53	2	no	—
1917	#121	—	53	2	no	—
1918	#121	—	53	2	no	—
1919	#121	—	53	2	no	—
1920	#121	—	53	2	no	—
1921	#121	—	53	2	no	—
1922	#121	—	53	1	no	—
1923	#121	—	53	1	no	—
1924	#121	—	53	4	no	—
1925	#121	—	53	4	no	—
1926	#121	—	53	4	no	—
1927	#121	—	53	4	no	—
1928	#121	—	53	4	no	—
1929	#121	—	53	2	no	—
1930	#121	—	53	2	no	—
1931	#121	—	53	2	no	—
1932	#121	—	53	2	no	—
1933	#121	—	53	2	no	—
1934	#121	—	53	2	no	—
1935	#121	—	53	4	no	—
1936	#121	—	53	4	no	—
1937	#121	—	53	4	no	—
1938	#121	—	53	4	no	—
1939	#121	—	53	4	no	—
1940	#121	—	53	4	no	—
1941	#121	C₂²×D₅₃	1	2	yes	—
1942	#121	C₂²×D₅₃	1	2	yes	—
1943	#121	C₂²×D₅₃	1	2	yes	—
1944	#121	C₂²×D₅₃	1	2	yes	—
1945	#121	C₂²×D₅₃	1	2	yes	—
1946	#121	C₂²×D₅₃	1	2	yes	—
1947	#121	C₂²×D₅₃	1	4	yes	complemented
1948	#121	C₂²×D₅₃	1	1	yes	characteristic, complemented
1949	#121	C₂²×D₅₃	1	1	yes	characteristic, complemented
1950	#121	C₂²×D₅₃	1	4	yes	complemented
1951	#121	C₂²×D₅₃	1	4	yes	complemented
1952	#120	—	53	4	no	—
1953	#120	—	53	2	no	—
1954	#120	—	53	4	no	—
1955	#120	—	53	4	no	—
1956	#120	—	53	4	no	—
1957	#120	—	53	4	no	—
1958	#120	—	53	4	no	—
1959	#120	—	53	4	no	—
1960	#120	—	53	4	no	—
1961	#120	—	53	2	no	—
1962	#120	—	53	2	no	—
1963	#120	—	53	2	no	—
1964	#120	—	53	4	no	—
1965	#120	—	53	4	no	—
1966	#120	—	53	4	no	—
1967	#120	—	53	4	no	—
1968	#120	—	53	4	no	—
1969	#120	—	53	4	no	—
1970	#120	—	53	4	no	—
1971	#120	—	53	2	no	—
1972	#120	—	53	2	no	—
1973	#120	—	53	2	no	—
1974	#120	C₂²×D₅₃	1	4	yes	—
1975	#120	C₂²×D₅₃	1	2	yes	—
1976	C₄×Q₈	—	53	2	no	—
1977	C₄×Q₈	—	53	4	no	—
1978	C₄×Q₈	—	53	2	no	—
1979	C₄×Q₈	—	53	2	no	—
1980	C₄×Q₈	—	53	2	no	—
1981	C₄×Q₈	—	53	4	no	—
1982	C₄×Q₈	—	53	2	no	—
1983	C₄×Q₈	—	53	2	no	—
1984	C₄×Q₈	—	53	4	no	—
1985	C₄×Q₈	—	53	4	no	—
1986	C₄×Q₈	—	53	4	no	—
1987	C₄×Q₈	—	53	2	no	—
1988	C₄×Q₈	—	53	2	no	—
1989	C₄×Q₈	—	53	2	no	—
1990	C₄×Q₈	—	53	4	no	—
1991	C₄×Q₈	—	53	2	no	—
1992	C₄×Q₈	—	53	2	no	—
1993	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1994	C₄×D₄	—	53	2	no	—
1995	C₄×D₄	—	53	2	no	—
1996	C₄×D₄	—	53	2	no	—
1997	C₄×D₄	—	53	2	no	—
1998	C₄×D₄	—	53	2	no	—
1999	C₄×D₄	—	53	4	no	—
2000	C₄×D₄	—	53	4	no	—
2001	C₄×D₄	—	53	4	no	—
2002	C₄×D₄	—	53	4	no	—
2003	C₄×D₄	—	53	4	no	—
2004	C₄×D₄	—	53	4	no	—
2005	C₄×D₄	—	53	4	no	—
2006	C₄×D₄	—	53	4	no	—
2007	C₄×D₄	—	53	2	no	—
2008	C₄×D₄	—	53	2	no	—
2009	C₄×D₄	—	53	2	no	—
2010	C₄×D₄	—	53	2	no	—
2011	C₄×D₄	—	53	4	no	—
2012	C₄×D₄	—	53	2	no	—
2013	C₄×D₄	—	53	2	no	—
2014	C₄×D₄	—	53	4	no	—
2015	C₄×D₄	—	53	2	no	—
2016	C₄×D₄	—	53	2	no	—
2017	C₄×D₄	—	53	2	no	—
2018	C₄×D₄	—	53	2	no	—
2019	C₄×D₄	—	53	2	no	—
2020	C₄×D₄	—	53	2	no	—
2021	C₄×D₄	—	53	4	no	—
2022	C₄×D₄	—	53	4	no	—
2023	C₄×D₄	—	53	4	no	—
2024	C₄×D₄	—	53	4	no	—
2025	C₄×D₄	—	53	2	no	—
2026	C₄×D₄	—	53	2	no	—
2027	C₄×D₄	—	53	2	no	—
2028	C₄×D₄	—	53	2	no	—
2029	C₄×D₄	—	53	4	no	—
2030	C₄×D₄	—	53	2	no	—
2031	C₄×D₄	—	53	2	no	—
2032	C₄×D₄	—	53	2	no	—
2033	C₄×D₄	—	53	2	no	—
2034	C₄×D₄	—	53	2	no	—
2035	C₄×D₄	—	53	4	no	—
2036	C₄×D₄	—	53	4	no	—
2037	C₄×D₄	—	53	4	no	—
2038	C₄×D₄	—	53	4	no	—
2039	C₄×D₄	—	53	4	no	—
2040	C₄×D₄	—	53	4	no	—
2041	C₄×D₄	—	53	4	no	—
2042	C₄×D₄	—	53	2	no	—
2043	C₄×D₄	—	53	2	no	—
2044	C₄×D₄	—	53	2	no	—
2045	C₄×D₄	—	53	2	no	—
2046	C₄×D₄	—	53	2	no	—
2047	C₄×D₄	—	53	2	no	—
2048	C₄×D₄	—	53	4	no	—
2049	C₄×D₄	—	53	4	no	—
2050	C₄×D₄	—	53	2	no	—
2051	C₄×D₄	—	53	2	no	—
2052	C₄×D₄	—	53	4	no	—
2053	C₄×D₄	—	53	4	no	—
2054	C₄×D₄	—	53	4	no	—
2055	C₄×D₄	—	53	4	no	—
2056	C₄×D₄	—	53	2	no	—
2057	C₄×D₄	—	53	2	no	—
2058	C₄×D₄	—	53	2	no	—
2059	C₄×D₄	—	53	2	no	—
2060	C₄×D₄	—	53	4	no	—
2061	C₄×D₄	—	53	2	no	—
2062	C₄×D₄	—	53	2	no	—
2063	C₄×D₄	—	53	2	no	—
2064	C₄×D₄	—	53	2	no	—
2065	C₄×D₄	—	53	2	no	—
2066	C₄×D₄	—	53	2	no	—
2067	C₄×D₄	—	53	2	no	—
2068	C₄×D₄	—	53	4	no	—
2069	C₄×D₄	—	53	4	no	—
2070	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2071	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2072	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2073	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2074	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2075	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2076	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2077	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2078	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2079	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2080	#117	—	53	1	no	—
2081	#117	—	53	1	no	—
2082	#117	—	53	2	no	—
2083	#117	—	53	1	no	—
2084	#117	—	53	2	no	—
2085	#117	—	53	2	no	—
2086	#117	—	53	1	no	—
2087	#117	—	53	1	no	—
2088	#117	—	53	4	no	—
2089	#117	—	53	1	no	—
2090	#117	—	53	1	no	—
2091	#117	—	53	2	no	—
2092	#117	—	53	2	no	—
2093	#117	—	53	4	no	—
2094	#117	—	53	1	no	—
2095	#117	—	53	1	no	—
2096	#117	—	53	2	no	—
2097	#117	—	53	4	no	—
2098	#117	—	53	1	no	—
2099	#117	—	53	1	no	—
2100	#117	—	53	2	no	—
2101	#117	—	53	1	no	—
2102	#117	—	53	1	no	—
2103	#117	—	53	2	no	—
2104	#117	—	53	1	no	—
2105	#117	—	53	1	no	—
2106	#117	—	53	2	no	—
2107	#117	—	53	4	no	—
2108	#117	—	53	4	no	—
2109	#117	—	53	2	no	—
2110	#117	—	53	4	no	—
2111	#117	—	53	2	no	—
2112	#117	—	53	2	no	—
2113	#117	—	53	2	no	—
2114	#117	—	53	2	no	—
2115	#117	—	53	4	no	—
2116	#117	—	53	4	no	—
2117	#117	—	53	2	no	—
2118	#117	—	53	2	no	—
2119	#117	—	53	2	no	—
2120	#117	—	53	2	no	—
2121	#117	—	53	2	no	—
2122	#117	—	53	4	no	—
2123	#117	—	53	4	no	—
2124	#117	—	53	4	no	—
2125	#117	C₂²×D₅₃	1	1	yes	characteristic
2126	#117	C₂²×D₅₃	1	1	yes	characteristic
2127	#117	C₂²×D₅₃	1	1	yes	characteristic
2128	#117	C₂²×D₅₃	1	2	yes	—
2129	#117	C₂²×D₅₃	1	2	yes	complemented
2130	#117	C₂²×D₅₃	1	2	yes	complemented
2131	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
2132	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
2133	#117	C₂²×D₅₃	1	4	yes	complemented
2134	C₂×C₄⋊C₄	—	53	1	no	—
2135	C₂×C₄⋊C₄	—	53	1	no	—
2136	C₂×C₄⋊C₄	—	53	1	no	—
2137	C₂×C₄⋊C₄	—	53	2	no	—
2138	C₂×C₄⋊C₄	—	53	1	no	—
2139	C₂×C₄⋊C₄	—	53	1	no	—
2140	C₂×C₄⋊C₄	—	53	1	no	—
2141	C₂×C₄⋊C₄	—	53	1	no	—
2142	C₂×C₄⋊C₄	—	53	1	no	—
2143	C₂×C₄⋊C₄	—	53	1	no	—
2144	C₂×C₄⋊C₄	—	53	1	no	—
2145	C₂×C₄⋊C₄	—	53	1	no	—
2146	C₂×C₄⋊C₄	—	53	2	no	—
2147	C₂×C₄⋊C₄	—	53	1	no	—
2148	C₂×C₄⋊C₄	—	53	2	no	—
2149	C₂×C₄⋊C₄	—	53	1	no	—
2150	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2151	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2152	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2153	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2154	C₂×C₂²⋊C₄	—	53	4	no	—
2155	C₂×C₂²⋊C₄	—	53	2	no	—
2156	C₂×C₂²⋊C₄	—	53	2	no	—
2157	C₂×C₂²⋊C₄	—	53	4	no	—
2158	C₂×C₂²⋊C₄	—	53	4	no	—
2159	C₂×C₂²⋊C₄	—	53	2	no	—
2160	C₂×C₂²⋊C₄	—	53	4	no	—
2161	C₂×C₂²⋊C₄	—	53	2	no	—
2162	C₂×C₂²⋊C₄	—	53	2	no	—
2163	C₂×C₂²⋊C₄	—	53	2	no	—
2164	C₂×C₂²⋊C₄	—	53	2	no	—
2165	C₂×C₂²⋊C₄	—	53	4	no	—
2166	C₂×C₂²⋊C₄	—	53	4	no	—
2167	C₂×C₂²⋊C₄	—	53	4	no	—
2168	C₂×C₂²⋊C₄	—	53	4	no	—
2169	C₂×C₂²⋊C₄	—	53	4	no	—
2170	C₂×C₂²⋊C₄	—	53	4	no	—
2171	C₂×C₂²⋊C₄	—	53	2	no	—
2172	C₂×C₂²⋊C₄	—	53	2	no	—
2173	C₂×C₂²⋊C₄	—	53	2	no	—
2174	C₂×C₂²⋊C₄	—	53	4	no	—
2175	C₂×C₂²⋊C₄	—	53	4	no	—
2176	C₂×C₂²⋊C₄	—	53	4	no	—
2177	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
2178	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2179	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2180	C₂×C₄²	—	53	2	no	—
2181	C₂×C₄²	—	53	4	no	—
2182	C₂×C₄²	—	53	2	no	—
2183	C₂×C₄²	—	53	2	no	—
2184	C₂×C₄²	—	53	2	no	—
2185	C₂×C₄²	—	53	2	no	—
2186	C₂×C₄²	—	53	4	no	—
2187	C₂×C₄²	—	53	2	no	—
2188	C₂×C₄²	—	53	2	no	—
2189	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
2190	C₂⁴	—	53	1	no	—
2191	C₂⁴	—	53	4	no	—
2192	C₂⁴	—	53	2	no	—
2193	C₂⁴	—	53	2	no	—
2194	C₂⁴	—	53	1	no	—
2195	C₂⁴	—	53	4	no	—
2196	C₂⁴	—	106	8	no	—
2197	C₂⁴	—	424	2	no	—
2198	C₂⁴	—	424	2	no	—
2199	C₂⁴	C₂³×D₅₃	1	2	yes	—
2200	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2201	#41	—	2	4	no	—
2202	#41	—	8	4	no	—
2203	#41	—	106	4	no	—
2204	#41	—	106	4	no	—
2205	#41	—	106	4	no	—
2206	#41	—	106	4	no	—
2207	#41	—	106	4	no	—
2208	#41	—	106	4	no	—
2209	#41	—	106	4	no	—
2210	#41	—	106	4	no	—
2211	#41	—	106	8	no	—
2212	#41	—	106	8	no	—
2213	#41	—	106	4	no	—
2214	#41	—	106	4	no	—
2215	#41	—	106	4	no	—
2216	#41	—	424	4	no	—
2217	#41	—	424	4	no	—
2218	#41	—	424	4	no	—
2219	#41	—	424	4	no	—
2220	#41	—	424	4	no	—
2221	#41	—	424	4	no	—
2222	#41	—	424	4	no	—
2223	C₂×Q₈	—	53	1	no	—
2224	C₂×Q₈	—	53	1	no	—
2225	C₂×Q₈	—	53	1	no	—
2226	C₂×Q₈	—	53	1	no	—
2227	C₂×Q₈	—	53	2	no	—
2228	C₂×Q₈	—	53	1	no	—
2229	C₂×Q₈	—	53	4	no	—
2230	C₂×Q₈	—	53	4	no	—
2231	C₂×Q₈	—	53	4	no	—
2232	C₂×Q₈	—	106	4	no	—
2233	C₂×Q₈	—	106	4	no	—
2234	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2235	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2236	C₂×D₄	—	2	4	no	—
2237	C₂×D₄	—	8	2	no	—
2238	C₂×D₄	—	53	1	no	—
2239	C₂×D₄	—	53	1	no	—
2240	C₂×D₄	—	53	2	no	—
2241	C₂×D₄	—	53	1	no	—
2242	C₂×D₄	—	53	2	no	—
2243	C₂×D₄	—	53	1	no	—
2244	C₂×D₄	—	53	4	no	—
2245	C₂×D₄	—	53	1	no	—
2246	C₂×D₄	—	53	1	no	—
2247	C₂×D₄	—	53	4	no	—
2248	C₂×D₄	—	53	1	no	—
2249	C₂×D₄	—	53	2	no	—
2250	C₂×D₄	—	53	1	no	—
2251	C₂×D₄	—	53	2	no	—
2252	C₂×D₄	—	53	2	no	—
2253	C₂×D₄	—	53	2	no	—
2254	C₂×D₄	—	53	2	no	—
2255	C₂×D₄	—	53	4	no	—
2256	C₂×D₄	—	53	4	no	—
2257	C₂×D₄	—	53	4	no	—
2258	C₂×D₄	—	53	4	no	—
2259	C₂×D₄	—	53	4	no	—
2260	C₂×D₄	—	53	4	no	—
2261	C₂×D₄	—	53	4	no	—
2262	C₂×D₄	—	53	4	no	—
2263	C₂×D₄	—	53	1	no	—
2264	C₂×D₄	—	53	1	no	—
2265	C₂×D₄	—	53	1	no	—
2266	C₂×D₄	—	53	2	no	—
2267	C₂×D₄	—	53	1	no	—
2268	C₂×D₄	—	53	2	no	—
2269	C₂×D₄	—	53	2	no	—
2270	C₂×D₄	—	53	1	no	—
2271	C₂×D₄	—	53	2	no	—
2272	C₂×D₄	—	53	2	no	—
2273	C₂×D₄	—	53	4	no	—
2274	C₂×D₄	—	53	4	no	—
2275	C₂×D₄	—	53	4	no	—
2276	C₂×D₄	—	53	4	no	—
2277	C₂×D₄	—	106	4	no	—
2278	C₂×D₄	—	106	8	no	—
2279	C₂×D₄	—	106	8	no	—
2280	C₂×D₄	—	106	8	no	—
2281	C₂×D₄	—	106	8	no	—
2282	C₂×D₄	—	106	4	no	—
2283	C₂×D₄	—	106	8	no	—
2284	C₂×D₄	—	106	4	no	—
2285	C₂×D₄	—	106	8	no	—
2286	C₂×D₄	—	106	4	no	—
2287	C₂×D₄	—	106	4	no	—
2288	C₂×D₄	—	424	2	no	—
2289	C₂×D₄	—	424	4	no	—
2290	C₂×D₄	—	424	4	no	—
2291	C₂×D₄	—	424	2	no	—
2292	C₂×D₄	—	424	2	no	—
2293	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2294	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2295	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2296	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2297	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2298	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2299	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2300	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2301	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2302	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2303	C₂²×C₄	—	2	4	no	—
2304	C₂²×C₄	—	53	1	no	—
2305	C₂²×C₄	—	53	8	no	—
2306	C₂²×C₄	—	53	1	no	—
2307	C₂²×C₄	—	53	1	no	—
2308	C₂²×C₄	—	53	1	no	—
2309	C₂²×C₄	—	53	1	no	—
2310	C₂²×C₄	—	53	2	no	—
2311	C₂²×C₄	—	53	1	no	—
2312	C₂²×C₄	—	53	2	no	—
2313	C₂²×C₄	—	53	4	no	—
2314	C₂²×C₄	—	53	2	no	—
2315	C₂²×C₄	—	53	2	no	—
2316	C₂²×C₄	—	53	4	no	—
2317	C₂²×C₄	—	53	4	no	—
2318	C₂²×C₄	—	53	2	no	—
2319	C₂²×C₄	—	53	1	no	—
2320	C₂²×C₄	—	53	1	no	—
2321	C₂²×C₄	—	53	2	no	—
2322	C₂²×C₄	—	53	2	no	—
2323	C₂²×C₄	—	53	1	no	—
2324	C₂²×C₄	—	53	1	no	—
2325	C₂²×C₄	—	53	2	no	—
2326	C₂²×C₄	—	53	2	no	—
2327	C₂²×C₄	—	53	2	no	—
2328	C₂²×C₄	—	53	2	no	—
2329	C₂²×C₄	—	53	2	no	—
2330	C₂²×C₄	—	53	2	no	—
2331	C₂²×C₄	—	53	4	no	—
2332	C₂²×C₄	—	53	2	no	—
2333	C₂²×C₄	—	53	2	no	—
2334	C₂²×C₄	—	53	2	no	—
2335	C₂²×C₄	—	53	4	no	—
2336	C₂²×C₄	—	53	2	no	—
2337	C₂²×C₄	—	53	4	no	—
2338	C₂²×C₄	—	53	4	no	—
2339	C₂²×C₄	—	53	4	no	—
2340	C₂²×C₄	—	53	4	no	—
2341	C₂²×C₄	—	106	8	no	—
2342	C₂²×C₄	—	106	4	no	—
2343	C₂²×C₄	—	424	4	no	—
2344	C₂²×C₄	—	424	4	no	—
2345	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2346	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2347	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2348	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2349	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2350	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2351	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2352	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2353	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2354	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2355	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2356	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2357	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2358	C₄⋊C₄	—	53	1	no	—
2359	C₄⋊C₄	—	53	1	no	—
2360	C₄⋊C₄	—	53	2	no	—
2361	C₄⋊C₄	—	53	1	no	—
2362	C₄⋊C₄	—	53	1	no	—
2363	C₄⋊C₄	—	53	2	no	—
2364	C₄⋊C₄	—	53	2	no	—
2365	C₄⋊C₄	—	53	2	no	—
2366	C₄⋊C₄	—	53	2	no	—
2367	C₄⋊C₄	—	53	1	no	—
2368	C₄⋊C₄	—	53	1	no	—
2369	C₄⋊C₄	—	53	2	no	—
2370	C₄⋊C₄	—	53	2	no	—
2371	C₄⋊C₄	—	53	2	no	—
2372	C₄⋊C₄	—	53	4	no	—
2373	C₄⋊C₄	—	53	2	no	—
2374	C₄⋊C₄	—	53	2	no	—
2375	C₄⋊C₄	—	53	2	no	—
2376	C₄⋊C₄	—	53	4	no	—
2377	C₄⋊C₄	—	53	2	no	—
2378	C₄⋊C₄	—	53	4	no	—
2379	C₄⋊C₄	—	53	2	no	—
2380	C₄⋊C₄	—	53	2	no	—
2381	C₄⋊C₄	—	53	2	no	—
2382	C₄⋊C₄	—	53	2	no	—
2383	C₄⋊C₄	—	53	2	no	—
2384	C₄⋊C₄	—	53	2	no	—
2385	C₄⋊C₄	—	53	2	no	—
2386	C₄⋊C₄	—	53	2	no	—
2387	C₄⋊C₄	—	53	4	no	—
2388	C₄⋊C₄	—	53	4	no	—
2389	C₄⋊C₄	—	53	4	no	—
2390	C₄⋊C₄	—	53	4	no	—
2391	C₄⋊C₄	—	53	4	no	—
2392	C₄⋊C₄	—	53	4	no	—
2393	C₄⋊C₄	—	53	4	no	—
2394	C₄⋊C₄	—	53	4	no	—
2395	C₄⋊C₄	—	53	4	no	—
2396	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2397	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2398	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2399	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2400	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2401	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2402	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2403	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2404	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2405	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2406	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2407	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2408	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2409	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2410	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2411	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2412	C₂²⋊C₄	—	53	2	no	—
2413	C₂²⋊C₄	—	53	2	no	—
2414	C₂²⋊C₄	—	53	2	no	—
2415	C₂²⋊C₄	—	53	4	no	—
2416	C₂²⋊C₄	—	53	4	no	—
2417	C₂²⋊C₄	—	53	2	no	—
2418	C₂²⋊C₄	—	53	2	no	—
2419	C₂²⋊C₄	—	53	4	no	—
2420	C₂²⋊C₄	—	53	4	no	—
2421	C₂²⋊C₄	—	53	4	no	—
2422	C₂²⋊C₄	—	53	4	no	—
2423	C₂²⋊C₄	—	53	4	no	—
2424	C₂²⋊C₄	—	53	2	no	—
2425	C₂²⋊C₄	—	53	2	no	—
2426	C₂²⋊C₄	—	53	2	no	—
2427	C₂²⋊C₄	—	53	2	no	—
2428	C₂²⋊C₄	—	53	2	no	—
2429	C₂²⋊C₄	—	53	2	no	—
2430	C₂²⋊C₄	—	53	2	no	—
2431	C₂²⋊C₄	—	53	2	no	—
2432	C₂²⋊C₄	—	53	4	no	—
2433	C₂²⋊C₄	—	53	4	no	—
2434	C₂²⋊C₄	—	53	4	no	—
2435	C₂²⋊C₄	—	53	4	no	—
2436	C₂²⋊C₄	—	53	4	no	—
2437	C₂²⋊C₄	—	53	4	no	—
2438	C₂²⋊C₄	—	53	2	no	—
2439	C₂²⋊C₄	—	53	2	no	—
2440	C₂²⋊C₄	—	53	4	no	—
2441	C₂²⋊C₄	—	53	2	no	—
2442	C₂²⋊C₄	—	53	2	no	—
2443	C₂²⋊C₄	—	53	4	no	—
2444	C₂²⋊C₄	—	53	2	no	—
2445	C₂²⋊C₄	—	53	2	no	—
2446	C₂²⋊C₄	—	53	4	no	—
2447	C₂²⋊C₄	—	53	4	no	—
2448	C₂²⋊C₄	—	53	4	no	—
2449	C₂²⋊C₄	—	53	4	no	—
2450	C₂²⋊C₄	—	53	4	no	—
2451	C₂²⋊C₄	—	53	4	no	—
2452	C₂²⋊C₄	—	53	4	no	—
2453	C₂²⋊C₄	—	53	4	no	—
2454	C₂²⋊C₄	—	53	2	no	—
2455	C₂²⋊C₄	—	53	2	no	—
2456	C₂²⋊C₄	—	53	2	no	—
2457	C₂²⋊C₄	—	53	2	no	—
2458	C₂²⋊C₄	—	53	2	no	—
2459	C₂²⋊C₄	—	53	2	no	—
2460	C₂²⋊C₄	—	53	2	no	—
2461	C₂²⋊C₄	—	53	2	no	—
2462	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2463	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2464	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2465	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2466	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2467	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2468	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2469	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2470	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2471	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2472	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2473	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2474	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2475	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2476	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2477	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2478	C₄²	—	53	2	no	—
2479	C₄²	—	53	2	no	—
2480	C₄²	—	53	2	no	—
2481	C₄²	—	53	4	no	—
2482	C₄²	—	53	2	no	—
2483	C₄²	—	53	4	no	—
2484	C₄²	—	53	2	no	—
2485	C₄²	—	53	2	no	—
2486	C₄²	—	53	2	no	—
2487	C₄²	—	53	2	no	—
2488	C₄²	—	53	4	no	—
2489	C₄²	—	53	4	no	—
2490	C₄²	—	53	2	no	—
2491	C₄²	—	53	2	no	—
2492	C₄²	—	53	2	no	—
2493	C₄²	—	53	2	no	—
2494	C₄²	—	53	2	no	—
2495	C₄²	—	53	4	no	—
2496	C₄²	—	53	2	no	—
2497	C₄²	—	53	2	no	—
2498	C₄²	C₂³×D₅₃	1	2	yes	—
2499	C₄²	C₂³×D₅₃	1	2	yes	—
2500	C₄²	C₂³×D₅₃	1	4	yes	—
2501	C₄²	C₂³×D₅₃	1	2	yes	—
2502	C₄²	C₂³×D₅₃	1	2	yes	—
2503	C₄²	C₂³×D₅₃	1	2	yes	—
2504	C₂³	—	2	2	no	—
2505	C₂³	—	2	4	no	—
2506	C₂³	—	4	1	no	—
2507	C₂³	—	4	2	no	—
2508	C₂³	—	4	1	no	—
2509	C₂³	—	4	2	no	—
2510	C₂³	—	53	1	no	—
2511	C₂³	—	53	1	no	—
2512	C₂³	—	53	4	no	—
2513	C₂³	—	53	4	no	—
2514	C₂³	—	53	2	no	—
2515	C₂³	—	53	1	no	—
2516	C₂³	—	53	1	no	—
2517	C₂³	—	106	4	no	—
2518	C₂³	—	106	8	no	—
2519	C₂³	—	106	8	no	—
2520	C₂³	—	106	2	no	—
2521	C₂³	—	106	4	no	—
2522	C₂³	—	424	16	no	—
2523	C₂³	—	212	1	no	—
2524	C₂³	—	212	1	no	—
2525	C₂³	—	212	2	no	—
2526	C₂³	—	212	2	no	—
2527	C₂³	—	212	2	no	—
2528	C₂³	—	212	2	no	—
2529	C₂³	—	212	4	no	—
2530	C₂³	—	212	4	no	—
2531	C₂³	—	212	4	no	—
2532	C₂³	—	212	4	no	—
2533	C₂³	—	212	1	no	—
2534	C₂³	—	212	1	no	—
2535	C₂³	C₂⁴×D₅₃	1	4	yes	—
2536	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2537	C₂³	C₂⁴×D₅₃	1	2	yes	—
2538	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2539	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2540	Q₈	—	2	2	no	—
2541	Q₈	—	4	4	no	—
2542	Q₈	—	106	2	no	—
2543	Q₈	—	106	2	no	—
2544	Q₈	—	106	2	no	—
2545	Q₈	—	106	2	no	—
2546	Q₈	—	106	4	no	—
2547	Q₈	—	106	2	no	—
2548	Q₈	—	212	4	no	—
2549	Q₈	—	212	4	no	—
2550	Q₈	—	212	4	no	—
2551	D₄	—	2	4	no	—
2552	D₄	—	2	4	no	—
2553	D₄	—	2	4	no	—
2554	D₄	—	2	2	no	—
2555	D₄	—	4	4	no	—
2556	D₄	—	4	4	no	—
2557	D₄	—	4	4	no	—
2558	D₄	—	4	4	no	—
2559	D₄	—	4	2	no	—
2560	D₄	—	4	2	no	—
2561	D₄	—	106	2	no	—
2562	D₄	—	106	2	no	—
2563	D₄	—	106	2	no	—
2564	D₄	—	106	2	no	—
2565	D₄	—	106	4	no	—
2566	D₄	—	106	8	no	—
2567	D₄	—	106	8	no	—
2568	D₄	—	106	2	no	—
2569	D₄	—	106	2	no	—
2570	D₄	—	106	2	no	—
2571	D₄	—	106	2	no	—
2572	D₄	—	106	4	no	—
2573	D₄	—	106	2	no	—
2574	D₄	—	106	2	no	—
2575	D₄	—	106	2	no	—
2576	D₄	—	106	2	no	—
2577	D₄	—	106	4	no	—
2578	D₄	—	106	4	no	—
2579	D₄	—	106	4	no	—
2580	D₄	—	106	4	no	—
2581	D₄	—	106	2	no	—
2582	D₄	—	212	4	no	—
2583	D₄	—	212	4	no	—
2584	D₄	—	212	4	no	—
2585	D₄	—	212	4	no	—
2586	D₄	—	212	2	no	—
2587	D₄	—	212	2	no	—
2588	D₄	—	212	4	no	—
2589	D₄	—	212	4	no	—
2590	D₄	—	212	4	no	—
2591	D₄	—	212	4	no	—
2592	D₄	—	212	4	no	—
2593	D₄	—	212	4	no	—
2594	D₄	—	212	4	no	—
2595	D₄	—	212	4	no	—
2596	D₄	—	212	2	no	—
2597	D₄	—	212	2	no	—
2598	D₄	—	212	2	no	—
2599	D₄	—	212	2	no	—
2600	C₂×C₄	—	2	2	no	—
2601	C₂×C₄	—	2	2	no	—
2602	C₂×C₄	—	2	2	no	—
2603	C₂×C₄	—	2	2	no	—
2604	C₂×C₄	—	2	2	no	—
2605	C₂×C₄	—	2	4	no	—
2606	C₂×C₄	—	4	4	no	—
2607	C₂×C₄	—	4	4	no	—
2608	C₂×C₄	—	4	2	no	—
2609	C₂×C₄	—	4	2	no	—
2610	C₂×C₄	—	4	4	no	—
2611	C₂×C₄	—	4	2	no	—
2612	C₂×C₄	—	53	4	no	—
2613	C₂×C₄	—	53	1	no	—
2614	C₂×C₄	—	53	1	no	—
2615	C₂×C₄	—	53	4	no	—
2616	C₂×C₄	—	53	4	no	—
2617	C₂×C₄	—	53	4	no	—
2618	C₂×C₄	—	53	4	no	—
2619	C₂×C₄	—	53	2	no	—
2620	C₂×C₄	—	53	2	no	—
2621	C₂×C₄	—	53	2	no	—
2622	C₂×C₄	—	53	1	no	—
2623	C₂×C₄	—	53	1	no	—
2624	C₂×C₄	—	53	2	no	—
2625	C₂×C₄	—	53	2	no	—
2626	C₂×C₄	—	53	4	no	—
2627	C₂×C₄	—	53	2	no	—
2628	C₂×C₄	—	53	2	no	—
2629	C₂×C₄	—	106	4	no	—
2630	C₂×C₄	—	106	4	no	—
2631	C₂×C₄	—	106	4	no	—
2632	C₂×C₄	—	106	2	no	—
2633	C₂×C₄	—	106	4	no	—
2634	C₂×C₄	—	106	2	no	—
2635	C₂×C₄	—	106	2	no	—
2636	C₂×C₄	—	106	2	no	—
2637	C₂×C₄	—	106	2	no	—
2638	C₂×C₄	—	212	2	no	—
2639	C₂×C₄	—	212	2	no	—
2640	C₂×C₄	—	212	2	no	—
2641	C₂×C₄	—	212	2	no	—
2642	C₂×C₄	—	212	4	no	—
2643	C₂×C₄	—	212	4	no	—
2644	C₂×C₄	—	212	4	no	—
2645	C₂×C₄	—	212	4	no	—
2646	C₂×C₄	—	212	2	no	—
2647	C₂×C₄	—	212	2	no	—
2648	C₂×C₄	—	212	2	no	—
2649	C₂×C₄	—	212	4	no	—
2650	C₂×C₄	—	212	2	no	—
2651	C₂×C₄	—	212	2	no	—
2652	C₂×C₄	—	212	4	no	—
2653	C₂×C₄	—	212	2	no	—
2654	C₂×C₄	—	212	4	no	—
2655	C₂×C₄	—	212	4	no	—
2656	C₂×C₄	—	212	2	no	—
2657	C₂×C₄	—	212	2	no	—
2658	C₂×C₄	—	212	4	no	—
2659	C₂×C₄	—	212	2	no	—
2660	C₂×C₄	#41×D₅₃	1	4	yes	—
2661	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2662	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2663	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2664	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2665	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2666	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2667	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2668	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2669	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2670	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2671	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2672	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2673	C₂²	—	2	1	no	—
2674	C₂²	—	2	1	no	—
2675	C₂²	—	2	1	no	—
2676	C₂²	—	2	1	no	—
2677	C₂²	—	2	2	no	—
2678	C₂²	—	2	4	no	—
2679	C₂²	—	2	1	no	—
2680	C₂²	—	2	2	no	—
2681	C₂²	—	2	4	no	—
2682	C₂²	—	2	1	no	—
2683	C₂²	—	2	1	no	—
2684	C₂²	—	2	4	no	—
2685	C₂²	—	2	2	no	—
2686	C₂²	—	2	1	no	—
2687	C₂²	—	8	4	no	—
2688	C₂²	—	8	2	no	—
2689	C₂²	—	53	2	no	—
2690	C₂²	—	53	2	no	—
2691	C₂²	—	106	1	no	—
2692	C₂²	—	106	1	no	—
2693	C₂²	—	106	1	no	—
2694	C₂²	—	106	1	no	—
2695	C₂²	—	106	2	no	—
2696	C₂²	—	106	1	no	—
2697	C₂²	—	106	1	no	—
2698	C₂²	—	106	4	no	—
2699	C₂²	—	106	1	no	—
2700	C₂²	—	106	1	no	—
2701	C₂²	—	106	2	no	—
2702	C₂²	—	106	4	no	—
2703	C₂²	—	106	2	no	—
2704	C₂²	—	106	1	no	—
2705	C₂²	—	106	1	no	—
2706	C₂²	—	106	4	no	—
2707	C₂²	—	424	4	no	—
2708	C₂²	—	424	2	no	—
2709	C₂²	—	424	8	no	—
2710	C₂²	—	424	4	no	—
2711	C₂²	—	212	4	no	—
2712	C₂²	—	212	16	no	—
2713	C₂²	C₂×#41×D₅₃	1	2	yes	—
2714	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2715	C₄	—	2	1	no	—
2716	C₄	—	2	1	no	—
2717	C₄	—	2	2	no	—
2718	C₄	—	2	2	no	—
2719	C₄	—	2	2	no	—
2720	C₄	—	2	4	no	—
2721	C₄	—	2	2	no	—
2722	C₄	—	2	2	no	—
2723	C₄	—	2	2	no	—
2724	C₄	—	2	2	no	—
2725	C₄	—	53	2	no	—
2726	C₄	—	53	2	no	—
2727	C₄	—	106	2	no	—
2728	C₄	—	106	1	no	—
2729	C₄	—	106	1	no	—
2730	C₄	—	106	2	no	—
2731	C₄	—	106	2	no	—
2732	C₄	—	106	2	no	—
2733	C₄	—	106	2	no	—
2734	C₄	—	106	2	no	—
2735	C₄	—	106	2	no	—
2736	C₄	—	106	4	no	—
2737	C₄	C₂×#41×D₅₃	1	2	yes	—
2738	C₄	C₂×#41×D₅₃	1	2	yes	—
2739	C₂	—	2	2	no	—
2740	C₂	—	4	4	no	—
2741	C₂	—	4	1	no	—
2742	C₂	—	4	1	no	—
2743	C₂	—	4	2	no	—
2744	C₂	—	106	2	no	—
2745	C₂	—	106	2	no	—
2746	C₂	—	212	4	no	—
2747	C₂	—	212	1	no	—
2748	C₂	—	212	1	no	—
2749	C₂	—	212	2	no	—
2750	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2751	C₂	#20289525	1	1	yes	characteristic
2752	C₂	#20289526	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3494	C₂
hypercenter	#3494	D₅₃
hypocenter	C₅₃	#62855
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3494

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288607	C₂	semidirect
2. #20288604	C₂	semidirect
3. #20288603	C₂	semidirect
4. #20288587	C₂	semidirect
5. #20288584	C₂	semidirect
6. #20288583	C₂	semidirect
7. #20288565	C₂	semidirect
8. #20288561	C₂	semidirect
9. #20288561	C₂	semidirect
10. #20288557	C₂	semidirect
11. #20288453	C₂	semidirect
12. #20288452	C₂	semidirect
13. #20288451	C₂	semidirect
14. #20288450	C₂	semidirect
15. #20288449	C₂	semidirect
16. #20288447	C₂	semidirect
17. #20288446	C₂	semidirect
18. #20288444	C₂	semidirect
19. #20288443	C₂	semidirect
20. #20288440	C₂	semidirect
21. #20288439	C₂	semidirect
22. #20288399	C₂	semidirect
23. #20288397	C₂	semidirect
24. #20288136	C₂	semidirect
25. #20288135	C₂	semidirect
26. #20288130	C₂	semidirect
27. #20288129	C₂	semidirect
28. #20288119	C₂	semidirect
29. #20288045	C₂	semidirect
30. C₂×#16811189	C₂	semidirect
31. #535×D₅₃	C₂	semidirect
32. #20287916	C₂	semidirect
33. #20287915	C₂	semidirect
34. #518×D₅₃	C₂	semidirect
35. C₅₃×#3494	C₂	semidirect
39. #16811357	C₂²	semidirect
40. #16811357	C₂²	semidirect
41. #16811357	C₂²	semidirect
42. #16811357	C₂²	semidirect
43. #16811356	C₂²	semidirect
44. #16811356	C₂²	semidirect
45. #16811355	C₂²	semidirect
46. #16811355	C₂²	semidirect
47. #16811344	C₂²	semidirect
48. #16811341	C₂²	semidirect
49. #16811340	C₂²	semidirect
50. #16811340	C₂²	semidirect
51. #16811339	C₂²	semidirect
52. #16811338	C₂²	semidirect
53. #16811338	C₂²	semidirect
54. #16811337	C₂²	semidirect
55. #16811337	C₂²	semidirect
56. #16811336	C₂²	semidirect
57. #16811336	C₂²	semidirect
58. #16811326	C₂²	semidirect
59. #16811326	C₂²	semidirect
60. #16811325	C₂²	semidirect
61. #16811325	C₂²	semidirect
62. #16811323	C₂²	semidirect
63. #16811323	C₂²	semidirect
64. #16811321	C₂²	semidirect
65. #16811321	C₂²	semidirect
66. #16811320	C₂²	semidirect
67. #16811320	C₂²	semidirect
68. #16811319	C₂²	semidirect
69. #16811319	C₂²	semidirect
70. #16811317	C₂²	semidirect
71. #16811317	C₂²	semidirect
72. #16811304	C₂²	semidirect
73. #16811303	C₂²	semidirect
74. #16811302	C₂²	semidirect
75. #16811302	C₂²	semidirect
76. #16811301	C₂²	semidirect
77. #16811300	C₂²	semidirect
78. #16811300	C₂²	semidirect
79. #16811299	C₂²	semidirect
80. #16811299	C₂²	semidirect
81. #16811298	C₂²	semidirect
82. #16811298	C₂²	semidirect
83. #16811297	C₂²	semidirect
84. #16811297	C₂²	semidirect
85. #16811296	C₂²	semidirect
86. #16811296	C₂²	semidirect
87. #16811292	C₂²	semidirect
88. #16811291	C₂²	semidirect
89. #16811291	C₂²	semidirect
90. #16811291	C₂²	semidirect
91. #16811278	C₂²	semidirect
92. #16811277	C₂²	semidirect
93. #16811276	C₂²	semidirect
94. #16811274	C₂²	semidirect
95. #16811274	C₂²	semidirect
96. #16811273	C₂²	semidirect
97. #16811273	C₂²	semidirect
98. #16811270	C₂²	semidirect
99. #16811269	C₂²	semidirect
100. #16811268	C₂²	semidirect
101. #16811267	C₂²	semidirect
102. #16811266	C₂²	semidirect
103. #16811265	C₂²	semidirect
104. #16811265	C₂²	semidirect
105. #16811264	C₂²	semidirect
106. #16811263	C₂²	semidirect
107. #16811263	C₂²	semidirect
108. #16811262	C₂²	semidirect
109. #16811262	C₂²	semidirect
110. #16811261	C₂²	semidirect
111. #16811260	C₂²	semidirect
112. #16811260	C₂²	semidirect
113. #16811254	C₂²	semidirect
114. #16811253	C₂²	semidirect
115. #16811253	C₂²	semidirect
116. #16811251	C₂²	semidirect
117. #16811251	C₂²	semidirect
118. #16811250	C₂²	semidirect
119. #16811250	C₂²	semidirect
121. #16811247	C₂²	semidirect
122. #16811246	C₂²	semidirect
123. #16811245	C₂²	semidirect
124. #16811244	C₂²	semidirect
125. #16811243	C₂²	semidirect
126. #16811242	C₂²	semidirect
127. #16811241	C₂²	semidirect
128. #16811240	C₂²	semidirect
129. #16811239	C₂²	semidirect
130. #16811238	C₂²	semidirect
131. #16811237	C₂²	semidirect
132. #16811229	C₂²	semidirect
133. #16811228	C₂²	semidirect
134. #16811227	C₂²	semidirect
135. #16811226	C₂²	semidirect
136. #16811226	C₂²	semidirect
137. #16811225	C₂²	semidirect
138. #16811225	C₂²	semidirect
139. #16811224	C₂²	semidirect
140. #16811224	C₂²	semidirect
141. #16811223	C₂²	semidirect
142. #16811223	C₂²	semidirect
143. #16811212	C₂²	semidirect
144. #16811212	C₂²	semidirect
145. #16811209	C₂²	semidirect
146. #16811209	C₂²	semidirect
147. #16811207	C₂²	semidirect
148. #16811207	C₂²	semidirect
149. #16811205	C₂²	semidirect
150. #16811205	C₂²	semidirect
151. #16811203	C₂²	semidirect
152. #16811203	C₂²	semidirect
153. #16811202	C₂²	semidirect
154. #16811202	C₂²	semidirect
155. #16811196	C₂²	semidirect
156. #16811196	C₂²	semidirect
157. #16811195	C₂²	semidirect
159. #16811191	C₂²	semidirect
165. #16811189	C₂²	semidirect
166. #16811189	C₂²	semidirect
167. #16811189	C₂²	semidirect
168. #16811189	C₂²	semidirect
169. #16811189	C₂²	semidirect
170. #16811189	C₂²	semidirect
171. #16811189	C₂²	semidirect
172. #16811189	C₂²	semidirect
174. #16811188	C₂²	semidirect
176. #16811186	C₂²	semidirect
179. #16811179	C₂²	semidirect
180. #16811179	C₂²	semidirect
181. #16811178	C₂²	semidirect
182. #16811178	C₂²	semidirect
183. #16811175	C₂²	semidirect
184. #16811174	C₂²	semidirect
185. #16811173	C₂²	semidirect
186. #16811172	C₂²	semidirect
187. #16811171	C₂²	semidirect
188. #16811170	C₂²	semidirect
189. #16811170	C₂²	semidirect
190. #16811170	C₂²	semidirect
191. #16811170	C₂²	semidirect
192. #16811170	C₂²	semidirect
193. #16811169	C₂²	semidirect
194. #16811168	C₂²	semidirect
195. #16811168	C₂²	semidirect
196. #16811168	C₂²	semidirect
197. C₂×#13133213	C₂²	semidirect
198. #127×D₅₃	C₂²	semidirect
199. #16811160	C₂²	semidirect
200. #16811159	C₂²	semidirect
201. #16811158	C₂²	semidirect
202. #16811157	C₂²	semidirect
203. #16811156	C₂²	semidirect
204. #16811155	C₂²	semidirect
205. #16811154	C₂²	semidirect
206. #16811153	C₂²	semidirect
207. #16811152	C₂²	semidirect
208. #16811151	C₂²	semidirect
209. #16811150	C₂²	semidirect
210. C₂×#13133203	C₂²	semidirect
211. #124×D₅₃	C₂²	semidirect
212. #16811136	C₂²	semidirect
213. #16811135	C₂²	semidirect
214. #16811135	C₂²	semidirect
215. #16811134	C₂²	semidirect
216. #16811133	C₂²	semidirect
217. #16811132	C₂²	semidirect
218. #16811132	C₂²	semidirect
219. #16811132	C₂²	semidirect
220. #16811132	C₂²	semidirect
221. #16811131	C₂²	semidirect
222. #16811131	C₂²	semidirect
223. #16811130	C₂²	semidirect
224. #16811130	C₂²	semidirect
225. C₂×#13133192	C₂²	semidirect
226. C₂×#13133191	C₂²	semidirect
227. C₂×#13133188	C₂²	semidirect
228. #121×D₅₃	C₂²	semidirect
229. #121×D₅₃	C₂²	semidirect
233. #16811106	C₂²	semidirect
234. #16811104	C₂²	semidirect
235. #16811104	C₂²	semidirect
236. #16811104	C₂²	semidirect
237. #16811104	C₂²	semidirect
238. #16811104	C₂²	semidirect
239. #16811104	C₂²	semidirect
240. #16811103	C₂²	semidirect
241. #16811103	C₂²	semidirect
242. #16811103	C₂²	semidirect
243. #16811103	C₂²	semidirect
244. #16811103	C₂²	semidirect
245. #16811103	C₂²	semidirect
246. #16811100	C₂²	semidirect
247. #16811099	C₂²	semidirect
248. #16811098	C₂²	semidirect
250. #16811097	C₂²	semidirect
251. #16811097	C₂²	semidirect
253. #16811096	C₂²	semidirect
254. #16811096	C₂²	semidirect
256. #16811095	C₂²	semidirect
257. #16811095	C₂²	semidirect
258. #16811095	C₂²	semidirect
259. #16811095	C₂²	semidirect
260. #16811095	C₂²	semidirect
261. C₄×#11719949	C₂²	semidirect
262. C₄×#11719945	C₂²	semidirect
263. C₄×#11719945	C₂²	semidirect
264. #16811091	C₂²	semidirect
265. #16811091	C₂²	semidirect
266. C₄×#11719947	C₂²	semidirect
267. C₄×#11719947	C₂²	semidirect
268. C₄×D₄×D₅₃	C₂²	semidirect
269. C₄×D₄×D₅₃	C₂²	semidirect
270. C₄×D₄×D₅₃	C₂²	semidirect
271. C₄×D₄×D₅₃	C₂²	semidirect
272. C₂×#13133176	C₂²	semidirect
274. C₂×#13133175	C₂²	semidirect
278. #117×D₅₃	C₂²	semidirect
279. #117×D₅₃	C₂²	semidirect
280. #117×D₅₃	C₂²	semidirect
282. C₅₃×#555	C₂²	semidirect
283. C₅₃×#553	C₂²	semidirect
284. C₅₃×#553	C₂²	semidirect
285. C₅₃×#551	C₂²	semidirect
286. C₅₃×#547	C₂²	semidirect
287. C₅₃×#546	C₂²	semidirect
288. C₅₃×#544	C₂²	semidirect
289. C₅₃×#542	C₂²	semidirect
290. C₅₃×#540	C₂²	semidirect
292. C₅₃×#532	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
294. C₅₃×#525	C₂²	semidirect
295. C₂×#121×C₅₃	C₂²	semidirect
296. C₅₃×#520	C₂²	semidirect
297. C₅₃×#518	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
301. C₂×#11719949	C₂³	semidirect
313. C₂×#11719945	C₂³	semidirect
314. C₂×#11719945	C₂³	semidirect
315. C₂×#11719945	C₂³	semidirect
318. C₂×#11719947	C₂³	semidirect
319. C₂×#11719947	C₂³	semidirect
320. C₂×#11719947	C₂³	semidirect
346. #13133217	C₂³	semidirect
347. #13133217	C₂³	semidirect
348. #13133216	C₂³	semidirect
349. #13133216	C₂³	semidirect
350. #13133216	C₂³	semidirect
351. #13133216	C₂³	semidirect
352. #13133216	C₂³	semidirect
353. #13133216	C₂³	semidirect
354. #13133216	C₂³	semidirect
355. #13133215	C₂³	semidirect
365. #13133213	C₂³	semidirect
366. #13133213	C₂³	semidirect
367. #13133212	C₂³	semidirect
368. #13133212	C₂³	semidirect
369. #13133212	C₂³	semidirect
370. #13133212	C₂³	semidirect
371. #13133212	C₂³	semidirect
372. #13133212	C₂³	semidirect
373. #13133211	C₂³	semidirect
374. #13133211	C₂³	semidirect
375. #13133210	C₂³	semidirect
376. #13133210	C₂³	semidirect
377. #13133210	C₂³	semidirect
378. #13133210	C₂³	semidirect
379. #13133210	C₂³	semidirect
380. #13133210	C₂³	semidirect
381. #13133209	C₂³	semidirect
382. #13133209	C₂³	semidirect
383. #13133208	C₂³	semidirect
384. #13133208	C₂³	semidirect
385. #13133208	C₂³	semidirect
386. #13133208	C₂³	semidirect
387. #13133207	C₂³	semidirect
388. #13133207	C₂³	semidirect
390. #13133206	C₂³	semidirect
391. #13133206	C₂³	semidirect
393. #13133205	C₂³	semidirect
394. #13133205	C₂³	semidirect
396. #13133204	C₂³	semidirect
397. #13133204	C₂³	semidirect
404. #13133203	C₂³	semidirect
405. #13133203	C₂³	semidirect
406. #13133203	C₂³	semidirect
407. #13133203	C₂³	semidirect
408. #13133203	C₂³	semidirect
409. #13133203	C₂³	semidirect
410. #13133203	C₂³	semidirect
411. #13133203	C₂³	semidirect
412. #13133203	C₂³	semidirect
413. #13133203	C₂³	semidirect
414. #13133203	C₂³	semidirect
415. #13133203	C₂³	semidirect
418. #13133202	C₂³	semidirect
419. #13133202	C₂³	semidirect
420. #13133202	C₂³	semidirect
421. #13133202	C₂³	semidirect
422. #13133202	C₂³	semidirect
423. #13133202	C₂³	semidirect
424. #13133202	C₂³	semidirect
425. #13133202	C₂³	semidirect
427. #13133201	C₂³	semidirect
428. #13133201	C₂³	semidirect
429. #13133201	C₂³	semidirect
430. #13133201	C₂³	semidirect
432. #13133200	C₂³	semidirect
433. #13133200	C₂³	semidirect
434. #13133200	C₂³	semidirect
435. #13133200	C₂³	semidirect
438. #13133199	C₂³	semidirect
439. #13133199	C₂³	semidirect
440. #13133199	C₂³	semidirect
441. #13133199	C₂³	semidirect
442. #13133199	C₂³	semidirect
443. #13133199	C₂³	semidirect
444. #13133199	C₂³	semidirect
445. #13133199	C₂³	semidirect
447. #13133198	C₂³	semidirect
448. #13133198	C₂³	semidirect
449. #13133198	C₂³	semidirect
450. #13133198	C₂³	semidirect
453. #13133197	C₂³	semidirect
454. #13133197	C₂³	semidirect
455. #13133197	C₂³	semidirect
457. #13133196	C₂³	semidirect
458. #13133196	C₂³	semidirect
459. #13133196	C₂³	semidirect
464. #13133195	C₂³	semidirect
465. #13133195	C₂³	semidirect
466. #13133195	C₂³	semidirect
467. #13133195	C₂³	semidirect
470. #13133194	C₂³	semidirect
471. #13133194	C₂³	semidirect
472. #13133194	C₂³	semidirect
473. #13133194	C₂³	semidirect
476. #13133193	C₂³	semidirect
477. #13133193	C₂³	semidirect
478. #13133193	C₂³	semidirect
487. #13133192	C₂³	semidirect
488. #13133192	C₂³	semidirect
489. #13133192	C₂³	semidirect
490. #13133192	C₂³	semidirect
491. #13133192	C₂³	semidirect
498. #13133191	C₂³	semidirect
499. #13133191	C₂³	semidirect
500. #13133191	C₂³	semidirect
501. #13133191	C₂³	semidirect
502. #13133191	C₂³	semidirect
509. #13133190	C₂³	semidirect
510. #13133190	C₂³	semidirect
511. #13133190	C₂³	semidirect
512. #13133190	C₂³	semidirect
513. #13133190	C₂³	semidirect
514. #13133190	C₂³	semidirect
515. #13133190	C₂³	semidirect
516. #13133190	C₂³	semidirect
519. #13133189	C₂³	semidirect
520. #13133189	C₂³	semidirect
521. #13133189	C₂³	semidirect
522. #13133189	C₂³	semidirect
523. #13133189	C₂³	semidirect
524. #13133189	C₂³	semidirect
525. #13133189	C₂³	semidirect
526. #13133189	C₂³	semidirect
535. #13133188	C₂³	semidirect
536. #13133188	C₂³	semidirect
537. #13133188	C₂³	semidirect
538. #13133188	C₂³	semidirect
539. #13133188	C₂³	semidirect
562. Q₈×Dic₅₃	C₂³	semidirect
563. Q₈×Dic₅₃	C₂³	semidirect
564. C₄×Dic₁₀₆	C₂³	semidirect
565. C₄×Dic₁₀₆	C₂³	semidirect
566. C₄×Dic₁₀₆	C₂³	semidirect
567. C₄×Dic₁₀₆	C₂³	semidirect
568. C₄×Dic₁₀₆	C₂³	semidirect
569. C₄×Dic₁₀₆	C₂³	semidirect
570. #13133182	C₂³	semidirect
571. #13133182	C₂³	semidirect
572. #13133182	C₂³	semidirect
573. #13133182	C₂³	semidirect
574. #13133182	C₂³	semidirect
575. #13133182	C₂³	semidirect
576. #13133182	C₂³	semidirect
577. #13133182	C₂³	semidirect
578. #13133182	C₂³	semidirect
588. C₄×D₂₁₂	C₂³	semidirect
589. C₄×D₂₁₂	C₂³	semidirect
590. C₄×D₂₁₂	C₂³	semidirect
591. C₄×D₂₁₂	C₂³	semidirect
592. C₄×D₂₁₂	C₂³	semidirect
598. D₄×Dic₅₃	C₂³	semidirect
599. D₄×Dic₅₃	C₂³	semidirect
600. D₄×Dic₅₃	C₂³	semidirect
610. #13133179	C₂³	semidirect
611. #13133179	C₂³	semidirect
612. #13133179	C₂³	semidirect
623. C₄×C₂²⋊D₅₃	C₂³	semidirect
624. C₄×C₂²⋊D₅₃	C₂³	semidirect
625. C₄×C₂²⋊D₅₃	C₂³	semidirect
626. C₄×C₂²⋊D₅₃	C₂³	semidirect
627. C₄×C₂²⋊D₅₃	C₂³	semidirect
628. C₄×C₂²⋊D₅₃	C₂³	semidirect
629. C₄×C₂²⋊D₅₃	C₂³	semidirect
630. C₄×C₂²⋊D₅₃	C₂³	semidirect
631. C₄×C₂²⋊D₅₃	C₂³	semidirect
632. C₄×C₂²⋊D₅₃	C₂³	semidirect
633. C₄×C₂²⋊D₅₃	C₂³	semidirect
634. C₄×C₂²⋊D₅₃	C₂³	semidirect
635. C₄×C₂²⋊D₅₃	C₂³	semidirect
646. #13133177	C₂³	semidirect
647. #13133177	C₂³	semidirect
648. #13133177	C₂³	semidirect
649. #13133177	C₂³	semidirect
650. #13133177	C₂³	semidirect
651. #13133177	C₂³	semidirect
652. #13133177	C₂³	semidirect
653. #13133177	C₂³	semidirect
654. #13133177	C₂³	semidirect
659. #13133176	C₂³	semidirect
660. #13133176	C₂³	semidirect
661. #13133176	C₂³	semidirect
662. #13133176	C₂³	semidirect
663. #13133176	C₂³	semidirect
675. #13133175	C₂³	semidirect
676. #13133175	C₂³	semidirect
677. #13133175	C₂³	semidirect
678. #13133175	C₂³	semidirect
679. #13133175	C₂³	semidirect
680. #13133175	C₂³	semidirect
681. #13133175	C₂³	semidirect
682. #13133175	C₂³	semidirect
683. #13133175	C₂³	semidirect
688. #13133174	C₂³	semidirect
689. #13133174	C₂³	semidirect
690. #13133174	C₂³	semidirect
691. #13133174	C₂³	semidirect
697. #13133173	C₂³	semidirect
698. #13133173	C₂³	semidirect
699. #13133173	C₂³	semidirect
701. C₂×C₄⋊Dic₅₃	C₂³	semidirect
702. C₂×C₄⋊Dic₅₃	C₂³	semidirect
703. C₂×C₄⋊Dic₅₃	C₂³	semidirect
710. C₄⋊C₄×D₅₃	C₂³	semidirect
711. C₄⋊C₄×D₅₃	C₂³	semidirect
712. C₄⋊C₄×D₅₃	C₂³	semidirect
713. C₄⋊C₄×D₅₃	C₂³	semidirect
714. C₄⋊C₄×D₅₃	C₂³	semidirect
715. C₄⋊C₄×D₅₃	C₂³	semidirect
740. C₂×C₄×Dic₅₃	C₂³	semidirect
741. C₂×C₄×Dic₅₃	C₂³	semidirect
745. C₄²×D₅₃	C₂³	semidirect
746. C₄²×D₅₃	C₂³	semidirect
747. C₄²×D₅₃	C₂³	semidirect
749. C₂×#41×C₅₃	C₂³	semidirect
753. C₄⋊Q₈×C₅₃	C₂³	semidirect
754. C₄⋊Q₈×C₅₃	C₂³	semidirect
756. #126×C₅₃	C₂³	semidirect
757. #126×C₅₃	C₂³	semidirect
758. #125×C₅₃	C₂³	semidirect
759. #125×C₅₃	C₂³	semidirect
761. #124×C₅₃	C₂³	semidirect
762. #124×C₅₃	C₂³	semidirect
764. #123×C₅₃	C₂³	semidirect
765. #123×C₅₃	C₂³	semidirect
766. #123×C₅₃	C₂³	semidirect
767. #123×C₅₃	C₂³	semidirect
769. C₂²⋊Q₈×C₅₃	C₂³	semidirect
770. C₂²⋊Q₈×C₅₃	C₂³	semidirect
771. C₂²⋊Q₈×C₅₃	C₂³	semidirect
778. #121×C₅₃	C₂³	semidirect
779. #121×C₅₃	C₂³	semidirect
780. #121×C₅₃	C₂³	semidirect
781. #121×C₅₃	C₂³	semidirect
782. #121×C₅₃	C₂³	semidirect
785. C₄×Q₈×C₅₃	C₂³	semidirect
791. C₄×D₄×C₅₃	C₂³	semidirect
792. C₄×D₄×C₅₃	C₂³	semidirect
793. C₄×D₄×C₅₃	C₂³	semidirect
794. C₄×D₄×C₅₃	C₂³	semidirect
795. C₄×D₄×C₅₃	C₂³	semidirect
800. #117×C₅₃	C₂³	semidirect
801. #117×C₅₃	C₂³	semidirect
802. #117×C₅₃	C₂³	semidirect
803. #117×C₅₃	C₂³	semidirect
804. #117×C₅₃	C₂³	semidirect
806. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
807. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
808. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
812. C₂×C₄²×C₅₃	C₂³	semidirect
943. C₂×C₄×D₅₃	#41	semidirect
1384. #3494	D₅₃	semidirect
1434. #555	C₂×D₅₃	semidirect
1449. #553	C₂×D₅₃	semidirect
1450. #553	C₂×D₅₃	semidirect
1466. #551	C₂×D₅₃	semidirect
1478. #547	C₂×D₅₃	semidirect
1494. #546	C₂×D₅₃	semidirect
1502. #544	C₂×D₅₃	semidirect
1515. #542	C₂×D₅₃	semidirect
1527. #540	C₂×D₅₃	semidirect
1583. #532	C₂×D₅₃	semidirect
1597. #529	C₂×D₅₃	semidirect
1613. #525	C₂×D₅₃	semidirect
1619. C₂×#121	C₂×D₅₃	semidirect
1636. #520	C₂×D₅₃	semidirect
1652. #518	C₂×D₅₃	semidirect
1673. C₂×#117	C₂×D₅₃	semidirect
1675. C₅₃	#62855	semidirect
1700. C₂×#41	C₂²×D₅₃	semidirect
1738. C₄⋊Q₈	C₂²×D₅₃	semidirect
1739. C₄⋊Q₈	C₂²×D₅₃	semidirect
1766. #126	C₂²×D₅₃	semidirect
1767. #126	C₂²×D₅₃	semidirect
1776. #125	C₂²×D₅₃	semidirect
1777. #125	C₂²×D₅₃	semidirect
1806. #124	C₂²×D₅₃	semidirect
1807. #124	C₂²×D₅₃	semidirect
1844. #123	C₂²×D₅₃	semidirect
1845. #123	C₂²×D₅₃	semidirect
1846. #123	C₂²×D₅₃	semidirect
1847. #123	C₂²×D₅₃	semidirect
1877. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1878. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1879. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1947. #121	C₂²×D₅₃	semidirect
1948. #121	C₂²×D₅₃	semidirect
1949. #121	C₂²×D₅₃	semidirect
1950. #121	C₂²×D₅₃	semidirect
1951. #121	C₂²×D₅₃	semidirect
1993. C₄×Q₈	C₂²×D₅₃	semidirect
2075. C₄×D₄	C₂²×D₅₃	semidirect
2076. C₄×D₄	C₂²×D₅₃	semidirect
2077. C₄×D₄	C₂²×D₅₃	semidirect
2078. C₄×D₄	C₂²×D₅₃	semidirect
2079. C₄×D₄	C₂²×D₅₃	semidirect
2129. #117	C₂²×D₅₃	semidirect
2130. #117	C₂²×D₅₃	semidirect
2131. #117	C₂²×D₅₃	semidirect
2132. #117	C₂²×D₅₃	semidirect
2133. #117	C₂²×D₅₃	semidirect
2151. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2152. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2153. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2189. C₂×C₄²	C₂²×D₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288607	2
#20288604	2
#20288603	2
#20288587	2
#20288584	2
#20288583	2
#20288565	2
#20288561	2
#20288557	2
#20288453	2
#20288452	2
#20288451	2
#20288450	2
#20288449	2
#20288447	2
#20288446	2
#20288444	2
#20288443	2
#20288440	2
#20288439	2
#20288399	2
#20288397	2
#20288136	2
#20288135	2
#20288130	2
#20288129	2
#20288119	2
#20288045	2
C₂×#16811189	2
#535×D₅₃	2
#20287916	2
#20287915	2
#518×D₅₃	2
C₅₃×#3494	2
#62855	53