Subgroups — #28292121

Order 13568.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288756	C₂	1	4	yes	maximal, complemented
2	#20288739	C₂	1	4	yes	maximal, complemented
3	#20288651	C₂	1	4	yes	maximal, complemented
4	#20288645	C₂	1	4	yes	maximal, complemented
5	#20288562	C₂	1	2	yes	maximal, complemented
6	#20288552	C₂	1	2	yes	maximal, complemented
7	#20288547	C₂	1	2	yes	maximal, complemented
8	#20288515	C₂	1	1	yes	maximal, characteristic, complemented
9	#20288476	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288420	C₂	1	2	yes	maximal, complemented
11	#20288405	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288403	C₂	1	1	yes	maximal, characteristic, complemented
13	#20288401	C₂	1	2	yes	maximal, complemented
14	#20288347	C₂	1	2	yes	maximal, complemented
15	#20288321	C₂	1	4	yes	maximal, complemented
16	#20288317	C₂	1	4	yes	maximal, complemented
17	#20288267	C₂	1	4	yes	maximal, complemented
18	#20288198	C₂	1	4	yes	maximal, complemented
19	#20288133	C₂	1	2	yes	maximal, complemented
20	#20288125	C₂	1	2	yes	maximal, complemented
21	#20288124	C₂	1	1	yes	maximal, characteristic, complemented
22	#20288009	C₂	1	2	yes	maximal, complemented
23	C₂×#16811132	C₂	1	2	yes	maximal, complemented
24	#525×D₅₃	C₂	1	2	yes	maximal, complemented
25	C₄×#13133262	C₂	1	2	yes	maximal, complemented
26	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3459	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#13133262	C₂²	1	2	yes	—
29	C₂²×#11719945	C₂²	1	2	yes	complemented
30	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
32	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
34	#16811357	C₂²	1	4	yes	complemented
35	#16811355	C₂²	1	4	yes	complemented
36	#16811340	C₂²	1	4	yes	complemented
37	#16811335	C₂²	1	4	yes	complemented
38	#16811331	C₂²	1	4	yes	complemented
39	#16811329	C₂²	1	4	yes	complemented
40	#16811327	C₂²	1	4	yes	complemented
41	#16811327	C₂²	1	4	yes	complemented
42	#16811327	C₂²	1	4	yes	complemented
43	#16811326	C₂²	1	4	yes	complemented
44	#16811325	C₂²	1	4	yes	complemented
45	#16811324	C₂²	1	4	yes	complemented
46	#16811324	C₂²	1	4	yes	complemented
47	#16811324	C₂²	1	4	yes	complemented
48	#16811318	C₂²	1	4	yes	complemented
49	#16811318	C₂²	1	4	yes	complemented
50	#16811316	C₂²	1	4	yes	complemented
51	#16811316	C₂²	1	4	yes	complemented
52	#16811316	C₂²	1	4	yes	complemented
53	#16811310	C₂²	1	4	yes	complemented
54	#16811309	C₂²	1	4	yes	complemented
55	#16811305	C₂²	1	4	yes	complemented
56	#16811305	C₂²	1	4	yes	complemented
57	#16811304	C₂²	1	4	yes	complemented
58	#16811303	C₂²	1	4	yes	complemented
59	#16811301	C₂²	1	4	yes	complemented
60	#16811300	C₂²	1	4	yes	complemented
61	#16811300	C₂²	1	4	yes	complemented
62	#16811300	C₂²	1	4	yes	complemented
63	#16811298	C₂²	1	4	yes	complemented
64	#16811298	C₂²	1	4	yes	complemented
65	#16811298	C₂²	1	4	yes	complemented
66	#16811296	C₂²	1	4	yes	complemented
67	#16811296	C₂²	1	4	yes	complemented
68	#16811296	C₂²	1	4	yes	complemented
69	#16811291	C₂²	1	4	yes	complemented
70	#16811286	C₂²	1	4	yes	complemented
71	#16811283	C₂²	1	4	yes	complemented
72	#16811279	C₂²	1	4	yes	complemented
73	#16811275	C₂²	1	4	yes	complemented
74	#16811271	C₂²	1	4	yes	complemented
75	#16811271	C₂²	1	4	yes	complemented
76	#16811271	C₂²	1	4	yes	complemented
77	#16811270	C₂²	1	4	yes	complemented
78	#16811266	C₂²	1	4	yes	complemented
79	#16811265	C₂²	1	4	yes	complemented
80	#16811265	C₂²	1	4	yes	complemented
81	#16811265	C₂²	1	4	yes	complemented
82	#16811265	C₂²	1	4	yes	complemented
83	#16811265	C₂²	1	4	yes	complemented
84	#16811264	C₂²	1	4	yes	complemented
85	#16811264	C₂²	1	4	yes	complemented
86	#16811262	C₂²	1	4	yes	complemented
87	#16811262	C₂²	1	4	yes	complemented
88	#16811262	C₂²	1	4	yes	complemented
89	#16811260	C₂²	1	4	yes	complemented
90	#16811260	C₂²	1	4	yes	complemented
91	#16811260	C₂²	1	4	yes	complemented
92	#16811260	C₂²	1	4	yes	complemented
93	#16811257	C₂²	1	4	yes	complemented
94	#16811257	C₂²	1	4	yes	complemented
95	#16811255	C₂²	1	4	yes	complemented
96	#16811255	C₂²	1	4	yes	complemented
97	#16811255	C₂²	1	4	yes	complemented
98	#16811252	C₂²	1	2	yes	complemented
99	#16811249	C₂²	1	1	yes	characteristic, complemented
100	#16811248	C₂²	1	2	yes	complemented
101	#16811243	C₂²	1	4	yes	complemented
102	#16811241	C₂²	1	4	yes	complemented
103	#16811225	C₂²	1	4	yes	complemented
104	#16811223	C₂²	1	4	yes	complemented
105	#16811221	C₂²	1	4	yes	complemented
106	#16811220	C₂²	1	2	yes	complemented
107	#16811217	C₂²	1	4	yes	complemented
108	#16811215	C₂²	1	4	yes	complemented
109	#16811214	C₂²	1	4	yes	complemented
110	#16811213	C₂²	1	2	yes	complemented
111	#16811213	C₂²	1	2	yes	complemented
112	#16811212	C₂²	1	4	yes	complemented
113	#16811211	C₂²	1	2	yes	complemented
114	#16811210	C₂²	1	2	yes	complemented
115	#16811210	C₂²	1	2	yes	complemented
116	#16811208	C₂²	1	4	yes	complemented
117	#16811207	C₂²	1	4	yes	complemented
118	#16811206	C₂²	1	4	yes	complemented
119	#16811200	C₂²	1	2	yes	complemented
120	#16811188	C₂²	1	4	yes	complemented
121	#16811185	C₂²	1	1	yes	characteristic, complemented
122	#16811184	C₂²	1	4	yes	complemented
123	#16811182	C₂²	1	2	yes	complemented
124	#16811181	C₂²	1	2	yes	complemented
125	#16811179	C₂²	1	2	yes	complemented
126	#16811177	C₂²	1	2	yes	complemented
127	#16811175	C₂²	1	2	yes	complemented
128	#16811172	C₂²	1	2	yes	complemented
129	#16811170	C₂²	1	2	yes	complemented
130	#16811170	C₂²	1	4	yes	complemented
131	#16811169	C₂²	1	4	yes	complemented
132	#16811168	C₂²	1	2	yes	complemented
133	#16811160	C₂²	1	4	yes	complemented
134	#16811158	C₂²	1	2	yes	complemented
135	#16811157	C₂²	1	2	yes	complemented
136	#16811156	C₂²	1	4	yes	complemented
137	#16811156	C₂²	1	4	yes	complemented
138	#16811153	C₂²	1	4	yes	complemented
139	#16811153	C₂²	1	4	yes	complemented
140	#16811152	C₂²	1	2	yes	complemented
141	#16811151	C₂²	1	4	yes	complemented
142	#16811151	C₂²	1	4	yes	complemented
143	#16811151	C₂²	1	4	yes	complemented
144	#16811150	C₂²	1	4	yes	complemented
145	#16811136	C₂²	1	2	yes	complemented
146	#16811136	C₂²	1	2	yes	complemented
147	#16811136	C₂²	1	2	yes	complemented
148	#16811135	C₂²	1	2	yes	complemented
149	#16811135	C₂²	1	4	yes	complemented
150	#16811134	C₂²	1	2	yes	complemented
151	#16811133	C₂²	1	2	yes	complemented
152	#16811133	C₂²	1	2	yes	complemented
153	#16811133	C₂²	1	2	yes	complemented
154	#16811132	C₂²	1	4	yes	complemented
155	#16811132	C₂²	1	4	yes	complemented
156	#16811132	C₂²	1	4	yes	complemented
157	#16811132	C₂²	1	4	yes	complemented
158	#16811132	C₂²	1	4	yes	complemented
159	#16811132	C₂²	1	4	yes	complemented
160	#16811132	C₂²	1	4	yes	complemented
161	#16811132	C₂²	1	4	yes	complemented
162	#16811132	C₂²	1	4	yes	complemented
163	#16811132	C₂²	1	4	yes	complemented
164	#16811132	C₂²	1	4	yes	complemented
165	#16811131	C₂²	1	4	yes	complemented
166	#16811131	C₂²	1	4	yes	complemented
167	#16811130	C₂²	1	2	yes	complemented
168	#16811129	C₂²	1	4	yes	complemented
169	C₂×#13133202	C₂²	1	2	yes	complemented
170	C₂×#13133199	C₂²	1	2	yes	complemented
171	#123×D₅₃	C₂²	1	4	yes	complemented
172	C₂×#13133195	C₂²	1	2	yes	complemented
173	C₂×#13133194	C₂²	1	2	yes	complemented
174	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
175	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
176	C₂×#13133190	C₂²	1	2	yes	complemented
177	C₂×#13133189	C₂²	1	2	yes	complemented
178	#121×D₅₃	C₂²	1	2	yes	complemented
179	#121×D₅₃	C₂²	1	2	yes	complemented
180	C₂×#13133187	C₂²	1	2	yes	complemented
181	C₂×#13133185	C₂²	1	2	yes	complemented
182	#120×D₅₃	C₂²	1	4	yes	complemented
183	#16811104	C₂²	1	4	yes	complemented
184	#16811102	C₂²	1	4	yes	complemented
185	#16811102	C₂²	1	4	yes	complemented
186	#16811098	C₂²	1	2	yes	complemented
187	#16811096	C₂²	1	2	yes	—
188	#16811096	C₂²	1	2	yes	complemented
189	#16811096	C₂²	1	4	yes	complemented
190	#16811095	C₂²	1	4	yes	complemented
191	#16811095	C₂²	1	4	yes	complemented
192	C₄×#11719949	C₂²	1	2	yes	complemented
193	C₄×#11719945	C₂²	1	4	yes	complemented
194	#16811091	C₂²	1	4	yes	complemented
195	C₄×#11719947	C₂²	1	4	yes	complemented
196	C₄×#11719947	C₂²	1	2	yes	complemented
197	C₄×#11719947	C₂²	1	4	yes	complemented
198	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
200	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
201	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
203	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
204	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
205	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
206	C₂×C₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
207	C₂×#13133177	C₂²	1	1	yes	characteristic
208	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
209	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
210	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
211	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
212	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
213	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
214	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
215	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
216	C₂×#13133174	C₂²	1	2	yes	complemented
217	#117×D₅₃	C₂²	1	2	yes	complemented
218	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
220	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
221	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
222	C₅₃×#543	C₂²	1	1	yes	characteristic, complemented
223	C₅₃×#539	C₂²	1	2	yes	complemented
224	C₅₃×#539	C₂²	1	4	yes	complemented
225	C₅₃×#538	C₂²	1	2	yes	complemented
226	C₅₃×#538	C₂²	1	4	yes	complemented
227	C₅₃×#534	C₂²	1	2	yes	complemented
228	C₅₃×#534	C₂²	1	1	yes	characteristic, complemented
229	C₅₃×#529	C₂²	1	2	yes	complemented
230	C₅₃×#529	C₂²	1	4	yes	complemented
231	C₅₃×#525	C₂²	1	2	yes	complemented
232	C₅₃×#525	C₂²	1	4	yes	complemented
233	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
234	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
235	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
236	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
237	#13133262	—	2	16	no	—
238	C₂×#11719949	C₂³	1	2	yes	—
239	C₂×#11719949	C₂³	1	2	yes	—
240	C₂×#11719945	—	4	8	no	—
241	C₂×#11719945	C₂³	1	4	yes	—
242	C₂×#11719945	C₂³	1	4	yes	—
243	C₂×#11719945	C₂³	1	4	yes	—
244	C₂×#11719945	C₂³	1	4	yes	complemented
245	C₂×#11719945	C₂³	1	4	yes	complemented
246	C₂×#11719945	C₂³	1	2	yes	complemented
247	C₂×#11719947	C₂³	1	4	yes	—
248	C₂×#11719947	C₂³	1	4	yes	—
249	C₂×#11719947	C₂³	1	2	yes	—
250	C₂×#11719947	C₂³	1	2	yes	—
251	C₂×#11719947	C₂³	1	4	yes	complemented
252	#41×D₅₃	—	4	8	no	—
253	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
254	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
255	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
256	C₂²×D₂₁₂	C₂³	1	2	yes	—
257	C₂²×D₂₁₂	C₂³	1	2	yes	—
258	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
259	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
260	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
261	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
262	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
263	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
264	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
265	C₂×D₄×D₅₃	—	2	8	no	—
266	C₂×D₄×D₅₃	C₂³	1	4	yes	—
267	C₂×D₄×D₅₃	C₂³	1	4	yes	—
268	C₂×D₄×D₅₃	C₂³	1	4	yes	—
269	C₂×D₄×D₅₃	C₂³	1	4	yes	—
270	C₂×D₄×D₅₃	C₂³	1	4	yes	—
271	C₂×D₄×D₅₃	C₂³	1	4	yes	—
272	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
273	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
274	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
275	C₂²×C₄×D₅₃	—	4	4	no	—
276	C₂²×C₄×D₅₃	—	4	4	no	—
277	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
280	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
281	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
283	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
284	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
286	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
287	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
288	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
289	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
290	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
291	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
292	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
293	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
294	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
295	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
296	#13133216	C₂³	1	2	yes	complemented
297	#13133216	C₂³	1	2	yes	complemented
298	#13133216	C₂³	1	4	yes	complemented
299	#13133215	C₂³	1	4	yes	complemented
300	#13133215	C₂³	1	2	yes	complemented
301	#13133213	C₂³	1	4	yes	—
302	#13133213	C₂³	1	4	yes	—
303	#13133213	C₂³	1	2	yes	complemented
304	#13133212	C₂³	1	4	yes	complemented
305	#13133212	C₂³	1	4	yes	complemented
306	#13133212	C₂³	1	4	yes	complemented
307	#13133212	C₂³	1	4	yes	complemented
308	#13133212	C₂³	1	4	yes	complemented
309	#13133212	C₂³	1	4	yes	complemented
310	#13133212	C₂³	1	4	yes	complemented
311	#13133211	C₂³	1	4	yes	complemented
312	#13133210	C₂³	1	4	yes	complemented
313	#13133210	C₂³	1	4	yes	complemented
314	#13133210	C₂³	1	4	yes	complemented
315	#13133210	C₂³	1	4	yes	complemented
316	#13133210	C₂³	1	4	yes	complemented
317	#13133209	C₂³	1	2	yes	complemented
318	#13133208	C₂³	1	4	yes	complemented
319	#13133207	C₂³	1	4	yes	complemented
320	#13133207	C₂³	1	4	yes	complemented
321	#13133207	C₂³	1	4	yes	complemented
322	#13133207	C₂³	1	4	yes	complemented
323	#13133207	C₂³	1	4	yes	complemented
324	#13133207	C₂³	1	4	yes	complemented
325	#13133206	C₂³	1	4	yes	complemented
326	#13133206	C₂³	1	4	yes	complemented
327	#13133205	C₂³	1	2	yes	complemented
328	#13133204	C₂³	1	4	yes	complemented
329	#13133203	C₂³	1	4	yes	—
330	#13133203	C₂³	1	4	yes	—
331	#13133203	C₂³	1	4	yes	complemented
332	#13133203	C₂³	1	4	yes	complemented
333	#13133203	C₂³	1	4	yes	complemented
334	#13133203	C₂³	1	4	yes	complemented
335	#13133203	C₂³	1	4	yes	complemented
336	#13133203	C₂³	1	4	yes	complemented
337	#13133202	C₂³	1	4	yes	—
338	#13133202	C₂³	1	4	yes	—
339	#13133202	C₂³	1	4	yes	—
340	#13133202	C₂³	1	4	yes	—
341	#13133202	C₂³	1	4	yes	—
342	#13133202	C₂³	1	4	yes	—
343	#13133202	C₂³	1	4	yes	complemented
344	#13133202	C₂³	1	4	yes	complemented
345	#13133202	C₂³	1	4	yes	complemented
346	#13133202	C₂³	1	4	yes	complemented
347	#13133202	C₂³	1	4	yes	complemented
348	#13133202	C₂³	1	4	yes	complemented
349	#13133201	C₂³	1	4	yes	complemented
350	#13133201	C₂³	1	4	yes	complemented
351	#13133201	C₂³	1	4	yes	complemented
352	#13133201	C₂³	1	4	yes	complemented
353	#13133201	C₂³	1	4	yes	complemented
354	#13133200	C₂³	1	4	yes	—
355	#13133200	C₂³	1	4	yes	complemented
356	#13133199	C₂³	1	4	yes	—
357	#13133199	C₂³	1	4	yes	—
358	#13133199	C₂³	1	4	yes	—
359	#13133199	C₂³	1	4	yes	—
360	#13133199	C₂³	1	4	yes	complemented
361	#13133199	C₂³	1	4	yes	complemented
362	#13133199	C₂³	1	4	yes	complemented
363	#13133199	C₂³	1	4	yes	complemented
364	#13133199	C₂³	1	4	yes	complemented
365	#13133199	C₂³	1	4	yes	complemented
366	#13133198	C₂³	1	4	yes	—
367	#13133198	C₂³	1	4	yes	complemented
368	#13133198	C₂³	1	4	yes	complemented
369	#13133197	C₂³	1	2	yes	—
370	#13133197	C₂³	1	2	yes	—
371	#13133197	C₂³	1	4	yes	complemented
372	#13133197	C₂³	1	4	yes	complemented
373	#13133197	C₂³	1	2	yes	complemented
374	#13133196	C₂³	1	2	yes	—
375	#13133196	C₂³	1	2	yes	—
376	#13133196	C₂³	1	2	yes	complemented
377	#13133195	C₂³	1	4	yes	—
378	#13133195	C₂³	1	4	yes	—
379	#13133195	C₂³	1	4	yes	—
380	#13133195	C₂³	1	4	yes	—
381	#13133195	C₂³	1	4	yes	complemented
382	#13133195	C₂³	1	4	yes	complemented
383	#13133195	C₂³	1	4	yes	complemented
384	#13133195	C₂³	1	4	yes	complemented
385	#13133195	C₂³	1	4	yes	complemented
386	#13133195	C₂³	1	4	yes	complemented
387	#13133195	C₂³	1	4	yes	complemented
388	#13133194	C₂³	1	4	yes	—
389	#13133194	C₂³	1	4	yes	—
390	#13133194	C₂³	1	4	yes	complemented
391	#13133194	C₂³	1	4	yes	complemented
392	#13133194	C₂³	1	4	yes	complemented
393	#13133194	C₂³	1	4	yes	complemented
394	#13133194	C₂³	1	4	yes	complemented
395	#13133194	C₂³	1	4	yes	complemented
396	#13133194	C₂³	1	4	yes	complemented
397	#13133193	C₂³	1	2	yes	—
398	#13133193	C₂³	1	2	yes	—
399	#13133193	C₂³	1	4	yes	complemented
400	#13133193	C₂³	1	2	yes	complemented
401	#13133192	C₂³	1	2	yes	—
402	#13133192	C₂³	1	2	yes	—
403	#13133192	C₂³	1	4	yes	—
404	#13133192	C₂³	1	4	yes	—
405	#13133192	C₂³	1	4	yes	complemented
406	#13133192	C₂³	1	4	yes	complemented
407	#13133192	C₂³	1	2	yes	complemented
408	#13133191	C₂³	1	2	yes	—
409	#13133191	C₂³	1	2	yes	—
410	#13133191	C₂³	1	2	yes	complemented
411	#13133190	C₂³	1	4	yes	—
412	#13133190	C₂³	1	4	yes	—
413	#13133190	C₂³	1	4	yes	—
414	#13133190	C₂³	1	4	yes	—
415	#13133190	C₂³	1	4	yes	—
416	#13133190	C₂³	1	4	yes	—
417	#13133190	C₂³	1	4	yes	—
418	#13133190	C₂³	1	4	yes	—
419	#13133190	C₂³	1	4	yes	complemented
420	#13133190	C₂³	1	4	yes	complemented
421	#13133190	C₂³	1	4	yes	complemented
422	#13133190	C₂³	1	4	yes	complemented
423	#13133190	C₂³	1	4	yes	complemented
424	#13133189	C₂³	1	4	yes	—
425	#13133189	C₂³	1	4	yes	—
426	#13133189	C₂³	1	4	yes	—
427	#13133189	C₂³	1	4	yes	—
428	#13133189	C₂³	1	4	yes	—
429	#13133189	C₂³	1	4	yes	—
430	#13133189	C₂³	1	4	yes	complemented
431	#13133189	C₂³	1	4	yes	complemented
432	#13133189	C₂³	1	4	yes	complemented
433	#13133189	C₂³	1	4	yes	complemented
434	#13133189	C₂³	1	4	yes	complemented
435	#13133189	C₂³	1	4	yes	complemented
436	#13133189	C₂³	1	4	yes	complemented
437	#13133188	C₂³	1	2	yes	—
438	#13133188	C₂³	1	2	yes	—
439	#13133188	C₂³	1	4	yes	complemented
440	#13133188	C₂³	1	2	yes	complemented
441	#13133187	C₂³	1	4	yes	—
442	#13133187	C₂³	1	4	yes	—
443	#13133187	C₂³	1	4	yes	—
444	#13133187	C₂³	1	4	yes	—
445	#13133187	C₂³	1	4	yes	—
446	#13133187	C₂³	1	4	yes	—
447	#13133187	C₂³	1	4	yes	—
448	#13133187	C₂³	1	4	yes	—
449	#13133187	C₂³	1	4	yes	complemented
450	#13133187	C₂³	1	4	yes	complemented
451	#13133186	C₂³	1	4	yes	—
452	#13133185	C₂³	1	4	yes	—
453	#13133185	C₂³	1	4	yes	—
454	#13133185	C₂³	1	4	yes	—
455	#13133185	C₂³	1	4	yes	—
456	#13133185	C₂³	1	4	yes	—
457	#13133185	C₂³	1	4	yes	—
458	#13133185	C₂³	1	4	yes	—
459	#13133185	C₂³	1	4	yes	complemented
460	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
461	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
462	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
463	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
464	#13133182	C₂³	1	4	yes	complemented
465	#13133182	C₂³	1	4	yes	complemented
466	#13133182	C₂³	1	4	yes	complemented
467	#13133182	C₂³	1	2	yes	complemented
468	#13133182	C₂³	1	4	yes	complemented
469	C₄×D₂₁₂	C₂³	1	4	yes	—
470	C₄×D₂₁₂	C₂³	1	4	yes	—
471	C₄×D₂₁₂	C₂³	1	4	yes	—
472	C₄×D₂₁₂	C₂³	1	4	yes	—
473	C₄×D₂₁₂	C₂³	1	4	yes	complemented
474	C₄×D₂₁₂	C₂³	1	4	yes	complemented
475	C₄×D₂₁₂	C₂³	1	4	yes	complemented
476	C₄×D₂₁₂	C₂³	1	4	yes	complemented
477	C₄×D₂₁₂	C₂³	1	2	yes	complemented
478	D₄×Dic₅₃	C₂³	1	4	yes	—
479	D₄×Dic₅₃	C₂³	1	4	yes	—
480	D₄×Dic₅₃	C₂³	1	4	yes	—
481	D₄×Dic₅₃	C₂³	1	4	yes	—
482	D₄×Dic₅₃	C₂³	1	4	yes	complemented
483	D₄×Dic₅₃	C₂³	1	4	yes	complemented
484	D₄×Dic₅₃	C₂³	1	4	yes	complemented
485	D₄×Dic₅₃	C₂³	1	2	yes	complemented
486	#13133179	C₂³	1	4	yes	—
487	#13133179	C₂³	1	4	yes	—
488	#13133179	C₂³	1	4	yes	—
489	#13133179	C₂³	1	4	yes	—
490	#13133179	C₂³	1	4	yes	—
491	#13133179	C₂³	1	4	yes	—
492	#13133179	C₂³	1	2	yes	complemented
493	#13133179	C₂³	1	4	yes	complemented
494	#13133179	C₂³	1	4	yes	complemented
495	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
496	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
497	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
498	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
499	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
500	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
501	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
502	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
503	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
504	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
505	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
506	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
507	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
508	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
509	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
510	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
511	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
512	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
513	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
514	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
515	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
516	#13133177	C₂³	1	4	yes	—
517	#13133177	C₂³	1	4	yes	—
518	#13133177	C₂³	1	4	yes	—
519	#13133177	C₂³	1	4	yes	—
520	#13133177	C₂³	1	4	yes	—
521	#13133177	C₂³	1	4	yes	—
522	#13133177	C₂³	1	4	yes	—
523	#13133177	C₂³	1	4	yes	—
524	#13133177	C₂³	1	4	yes	—
525	#13133177	C₂³	1	4	yes	—
526	#13133177	C₂³	1	4	yes	—
527	#13133177	C₂³	1	4	yes	—
528	#13133177	C₂³	1	4	yes	complemented
529	#13133177	C₂³	1	4	yes	complemented
530	#13133177	C₂³	1	4	yes	complemented
531	#13133177	C₂³	1	4	yes	complemented
532	#13133177	C₂³	1	4	yes	complemented
533	#13133177	C₂³	1	4	yes	complemented
534	#13133177	C₂³	1	4	yes	complemented
535	#13133176	C₂³	1	4	yes	complemented
536	#13133176	C₂³	1	2	yes	complemented
537	#13133175	C₂³	1	2	yes	—
538	#13133175	C₂³	1	2	yes	—
539	#13133175	C₂³	1	2	yes	—
540	#13133175	C₂³	1	2	yes	—
541	#13133175	C₂³	1	4	yes	complemented
542	#13133175	C₂³	1	4	yes	complemented
543	#13133175	C₂³	1	4	yes	complemented
544	#13133174	C₂³	1	4	yes	—
545	#13133174	C₂³	1	4	yes	—
546	#13133174	C₂³	1	4	yes	complemented
547	#13133174	C₂³	1	4	yes	complemented
548	#13133174	C₂³	1	4	yes	complemented
549	#13133174	C₂³	1	4	yes	complemented
550	#13133174	C₂³	1	4	yes	complemented
551	#13133173	C₂³	1	4	yes	—
552	#13133173	C₂³	1	4	yes	complemented
553	#13133173	C₂³	1	4	yes	complemented
554	#13133173	C₂³	1	4	yes	complemented
555	#13133173	C₂³	1	4	yes	complemented
556	#13133173	C₂³	1	4	yes	complemented
557	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
558	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
559	C₂×#11719919	C₂³	1	1	yes	characteristic
560	C₂×#11719919	C₂³	1	1	yes	characteristic
561	C₂×#11719919	C₂³	1	2	yes	complemented
562	C₂×#11719919	C₂³	1	4	yes	complemented
563	C₂×#11719919	C₂³	1	2	yes	complemented
564	C₂×#11719919	C₂³	1	2	yes	complemented
565	C₂×#11719919	C₂³	1	2	yes	complemented
566	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
567	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
568	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
569	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
570	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
571	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
572	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
573	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
574	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
575	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
576	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
577	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
578	C₂×#11719921	C₂³	1	2	yes	—
579	C₂×#11719921	C₂³	1	2	yes	—
580	C₂×#11719921	C₂³	1	2	yes	—
581	C₂×#11719921	C₂³	1	2	yes	—
582	C₂×#11719921	C₂³	1	1	yes	characteristic
583	C₂×#11719921	C₂³	1	1	yes	characteristic
584	C₂×#11719921	C₂³	1	1	yes	characteristic
585	C₂×#11719921	C₂³	1	1	yes	characteristic
586	C₂×#11719921	C₂³	1	2	yes	complemented
587	C₂×#11719921	C₂³	1	4	yes	complemented
588	C₂×#11719921	C₂³	1	2	yes	complemented
589	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
590	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
591	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
592	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
593	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
594	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
595	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
596	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
597	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
598	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
599	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
600	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
601	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
602	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
603	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
604	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
605	C₄²×D₅₃	C₂³	1	2	yes	—
606	C₄²×D₅₃	C₂³	1	2	yes	—
607	C₄²×D₅₃	C₂³	1	2	yes	—
608	C₄²×D₅₃	C₂³	1	2	yes	—
609	C₄²×D₅₃	C₂³	1	4	yes	complemented
610	C₄²×D₅₃	C₂³	1	4	yes	complemented
611	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
612	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
613	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
614	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
615	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
616	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
617	#126×C₅₃	C₂³	1	4	yes	complemented
618	#126×C₅₃	C₂³	1	4	yes	complemented
619	#126×C₅₃	C₂³	1	4	yes	complemented
620	#125×C₅₃	C₂³	1	4	yes	complemented
621	#125×C₅₃	C₂³	1	2	yes	complemented
622	#124×C₅₃	C₂³	1	4	yes	complemented
623	#124×C₅₃	C₂³	1	2	yes	complemented
624	#123×C₅₃	C₂³	1	4	yes	—
625	#123×C₅₃	C₂³	1	4	yes	—
626	#123×C₅₃	C₂³	1	4	yes	complemented
627	#123×C₅₃	C₂³	1	4	yes	complemented
628	#123×C₅₃	C₂³	1	4	yes	complemented
629	#123×C₅₃	C₂³	1	4	yes	complemented
630	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
631	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
632	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
633	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
634	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
635	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
636	#121×C₅₃	C₂³	1	4	yes	—
637	#121×C₅₃	C₂³	1	2	yes	—
638	#121×C₅₃	C₂³	1	4	yes	—
639	#121×C₅₃	C₂³	1	2	yes	—
640	#121×C₅₃	C₂³	1	4	yes	complemented
641	#121×C₅₃	C₂³	1	2	yes	complemented
642	#120×C₅₃	C₂³	1	4	yes	—
643	#120×C₅₃	C₂³	1	4	yes	—
644	#120×C₅₃	C₂³	1	4	yes	complemented
645	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
646	C₄×D₄×C₅₃	C₂³	1	4	yes	—
647	C₄×D₄×C₅₃	C₂³	1	4	yes	—
648	C₄×D₄×C₅₃	C₂³	1	4	yes	—
649	C₄×D₄×C₅₃	C₂³	1	4	yes	—
650	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
651	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
652	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
653	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
654	#117×C₅₃	C₂³	1	2	yes	complemented
655	#117×C₅₃	C₂³	1	4	yes	complemented
656	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
657	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
658	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
659	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
660	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
661	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
662	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
663	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
664	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
665	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
666	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
667	C₂³×D₅₃	—	2	4	no	—
668	C₂³×D₅₃	—	2	4	no	—
669	C₂³×D₅₃	—	4	2	no	—
670	C₂³×D₅₃	—	4	2	no	—
671	C₂³×D₅₃	—	4	2	no	—
672	C₂³×D₅₃	—	4	2	no	—
673	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
674	C₂³×D₅₃	C₂⁴	1	2	yes	—
675	C₂³×D₅₃	C₂⁴	1	2	yes	—
676	C₂³×D₅₃	C₂⁴	1	2	yes	—
677	C₂³×D₅₃	C₂⁴	1	2	yes	—
678	C₂³×D₅₃	C₂⁴	1	4	yes	—
679	C₂³×D₅₃	C₂⁴	1	2	yes	—
680	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
681	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
682	#41×C₅₃	—	4	4	no	—
683	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
684	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
685	C₂×D₄×C₅₃	—	2	4	no	—
686	C₂×D₄×C₅₃	—	2	8	no	—
687	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
688	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
689	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
690	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
691	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
692	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
693	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
694	C₂²×C₄×C₅₃	—	4	2	no	—
695	C₂²×C₄×C₅₃	—	4	2	no	—
696	C₂²×C₄×C₅₃	—	4	4	no	—
697	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
698	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
699	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
700	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
701	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
702	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
703	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
704	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
705	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
706	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
707	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
708	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
709	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
710	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
711	C₂×C₂²⋊D₅₃	—	2	8	no	—
712	C₂×C₂²⋊D₅₃	—	2	16	no	—
713	C₂×C₂²⋊D₅₃	—	2	4	no	—
714	C₂×C₂²⋊D₅₃	—	4	4	no	—
715	C₂×C₂²⋊D₅₃	—	4	4	no	—
716	C₂×C₂²⋊D₅₃	—	4	4	no	—
717	C₂×C₂²⋊D₅₃	#41	1	8	yes	complemented
718	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
719	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
720	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
721	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
722	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
723	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
724	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
725	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
726	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
727	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
728	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
729	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
730	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
731	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
732	C₂²×Dic₅₃	—	4	2	no	—
733	C₂²×Dic₅₃	—	4	2	no	—
734	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
735	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
736	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
737	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
738	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
739	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
740	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
741	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
742	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
743	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
744	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
745	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
746	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
747	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
748	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
749	#11719949	—	4	4	no	—
750	#11719949	—	4	4	no	—
751	Q₈×D₅₃	—	4	4	no	—
752	#11719947	—	2	16	no	—
753	#11719947	—	2	16	no	—
754	#11719947	—	4	8	no	—
755	#11719947	—	4	4	no	—
756	#11719947	—	4	4	no	—
757	D₄×D₅₃	—	2	16	no	—
758	D₄×D₅₃	—	2	16	no	—
759	D₄×D₅₃	—	2	16	no	—
760	D₄×D₅₃	—	2	16	no	—
761	D₄×D₅₃	—	4	4	no	—
762	D₄×D₅₃	—	4	8	no	—
763	D₄×D₅₃	—	4	8	no	—
764	#11719945	—	2	16	no	—
765	#11719945	—	2	16	no	—
766	#11719945	—	4	8	no	—
767	#11719945	—	4	4	no	—
768	#11719945	—	4	8	no	—
769	#11719945	—	4	8	no	—
770	C₂×D₂₁₂	—	2	4	no	—
771	C₂×D₂₁₂	—	4	4	no	—
772	C₂×D₂₁₂	—	4	4	no	—
773	C₂×D₂₁₂	C₂⁴	1	4	yes	—
774	C₂×D₂₁₂	C₂⁴	1	4	yes	—
775	C₂×D₂₁₂	C₂⁴	1	4	yes	—
776	C₂×D₂₁₂	C₂⁴	1	4	yes	—
777	C₂×D₂₁₂	C₂⁴	1	2	yes	—
778	C₂×D₂₁₂	C₂⁴	1	4	yes	—
779	C₂×D₂₁₂	C₂⁴	1	4	yes	—
780	C₂×D₂₁₂	C₂⁴	1	2	yes	—
781	C₂×C₄×D₅₃	—	2	4	no	—
782	C₂×C₄×D₅₃	—	2	4	no	—
783	C₂×C₄×D₅₃	—	2	8	no	—
784	C₂×C₄×D₅₃	—	2	8	no	—
785	C₂×C₄×D₅₃	—	4	4	no	—
786	C₂×C₄×D₅₃	—	4	4	no	—
787	C₂×C₄×D₅₃	—	4	2	no	—
788	C₂×C₄×D₅₃	—	4	2	no	—
789	C₂×C₄×D₅₃	—	4	2	no	—
790	C₂×C₄×D₅₃	—	4	4	no	—
791	C₂×C₄×D₅₃	—	4	4	no	—
792	C₂×C₄×D₅₃	—	4	2	no	—
793	C₂×C₄×D₅₃	—	4	8	no	—
794	C₂×C₄×D₅₃	—	4	4	no	—
795	C₂×C₄×D₅₃	—	4	4	no	—
796	C₂×C₄×D₅₃	—	4	4	no	—
797	C₂×C₄×D₅₃	—	4	2	no	—
798	C₂×C₄×D₅₃	—	4	2	no	—
799	C₂×C₄×D₅₃	—	4	2	no	—
800	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
801	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
802	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
803	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
804	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
805	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
806	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
807	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
808	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
809	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
810	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
811	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
812	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
813	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
814	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
815	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
816	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
817	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
818	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
819	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
820	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
821	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
822	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
823	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
824	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
825	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
826	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
827	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
828	C₂×Dic₁₀₆	—	4	4	no	—
829	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
830	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
831	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
832	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
833	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
834	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
835	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
836	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
837	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
838	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
839	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
840	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
841	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
842	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
843	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
844	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
846	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
847	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
848	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
849	C₂²⋊C₄×C₅₃	C₂⁴	1	4	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	4	yes	—
854	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
855	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
856	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
857	C₄²×C₅₃	C₂⁴	1	2	yes	—
858	C₄²×C₅₃	C₂⁴	1	2	yes	—
859	C₄²×C₅₃	C₂⁴	1	4	yes	—
860	C₄²×C₅₃	C₂⁴	1	4	yes	—
861	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
862	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
863	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
864	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
865	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
866	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
867	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
868	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
869	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
870	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
871	#11719921	C₂⁴	1	4	yes	—
872	#11719921	C₂⁴	1	4	yes	—
873	#11719921	C₂⁴	1	4	yes	—
874	#11719921	C₂⁴	1	4	yes	—
875	#11719921	C₂⁴	1	4	yes	—
876	#11719921	C₂⁴	1	4	yes	—
877	#11719921	C₂⁴	1	4	yes	—
878	#11719921	C₂⁴	1	4	yes	—
879	#11719921	C₂⁴	1	4	yes	—
880	#11719921	C₂⁴	1	4	yes	—
881	#11719921	C₂⁴	1	4	yes	—
882	#11719921	C₂⁴	1	4	yes	—
883	#11719921	C₂⁴	1	4	yes	—
884	#11719921	C₂⁴	1	4	yes	—
885	#11719921	C₂⁴	1	4	yes	—
886	#11719921	C₂⁴	1	4	yes	—
887	#11719921	C₂⁴	1	4	yes	—
888	#11719921	C₂⁴	1	4	yes	—
889	#11719921	C₂⁴	1	4	yes	—
890	#11719921	C₂⁴	1	4	yes	—
891	#11719921	C₂⁴	1	4	yes	—
892	#11719921	C₂⁴	1	4	yes	—
893	#11719921	C₂⁴	1	4	yes	—
894	#11719921	C₂⁴	1	4	yes	—
895	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
896	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
897	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
898	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
899	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
900	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
901	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
902	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
903	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
904	#11719919	C₂⁴	1	4	yes	—
905	#11719919	C₂⁴	1	4	yes	—
906	#11719919	C₂⁴	1	4	yes	—
907	#11719919	C₂⁴	1	4	yes	—
908	#11719919	C₂⁴	1	4	yes	—
909	#11719919	C₂⁴	1	4	yes	—
910	#11719919	C₂⁴	1	4	yes	—
911	#11719919	C₂⁴	1	4	yes	—
912	#11719919	C₂⁴	1	4	yes	—
913	#11719919	C₂⁴	1	4	yes	—
914	#11719919	C₂⁴	1	4	yes	—
915	#11719919	C₂⁴	1	4	yes	—
916	#11719919	C₂⁴	1	4	yes	—
917	#11719919	C₂⁴	1	4	yes	—
918	#11719919	C₂⁴	1	4	yes	—
919	#11719919	C₂⁴	1	4	yes	—
920	#11719919	C₂⁴	1	4	yes	—
921	#11719919	C₂⁴	1	4	yes	—
922	C₄×Dic₅₃	C₂⁴	1	2	yes	—
923	C₄×Dic₅₃	C₂⁴	1	2	yes	—
924	C₄×Dic₅₃	C₂⁴	1	2	yes	—
925	C₄×Dic₅₃	C₂⁴	1	2	yes	—
926	C₄×Dic₅₃	C₂⁴	1	2	yes	—
927	C₄×Dic₅₃	C₂⁴	1	2	yes	—
928	C₄×Dic₅₃	C₂⁴	1	4	yes	—
929	C₄×Dic₅₃	C₂⁴	1	4	yes	—
930	C₄×Dic₅₃	C₂⁴	1	4	yes	—
931	C₄×Dic₅₃	C₂⁴	1	4	yes	—
932	C₄×Dic₅₃	C₂⁴	1	4	yes	—
933	C₄×Dic₅₃	C₂⁴	1	4	yes	—
934	C₄×Dic₅₃	C₂⁴	1	4	yes	—
935	C₄×Dic₅₃	C₂⁴	1	4	yes	—
936	C₂³×C₅₃	—	2	2	no	—
937	C₂³×C₅₃	—	2	4	no	—
938	C₂³×C₅₃	—	4	1	no	—
939	C₂³×C₅₃	—	4	1	no	—
940	C₂³×C₅₃	—	4	1	no	—
941	C₂³×C₅₃	—	4	1	no	—
942	C₂³×C₅₃	—	4	2	no	—
943	C₂³×C₅₃	—	4	2	no	—
944	C₂³×C₅₃	C₂×#41	1	4	yes	complemented
945	C₂³×C₅₃	C₂⁵	1	4	yes	—
946	C₂³×C₅₃	C₂⁵	1	2	yes	—
947	C₂³×C₅₃	C₂⁵	1	2	yes	—
948	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
949	C₂²×D₅₃	—	2	2	no	—
950	C₂²×D₅₃	—	2	2	no	—
951	C₂²×D₅₃	—	2	2	no	—
952	C₂²×D₅₃	—	2	2	no	—
953	C₂²×D₅₃	—	2	4	no	—
954	C₂²×D₅₃	—	2	4	no	—
955	C₂²×D₅₃	—	2	4	no	—
956	C₂²×D₅₃	—	2	4	no	—
957	C₂²×D₅₃	—	2	4	no	—
958	C₂²×D₅₃	—	2	4	no	—
959	C₂²×D₅₃	—	2	4	no	—
960	C₂²×D₅₃	—	2	4	no	—
961	C₂²×D₅₃	—	2	4	no	—
962	C₂²×D₅₃	—	2	8	no	—
963	C₂²×D₅₃	—	4	1	no	—
964	C₂²×D₅₃	—	4	2	no	—
965	C₂²×D₅₃	—	4	2	no	—
966	C₂²×D₅₃	—	4	1	no	—
967	C₂²×D₅₃	—	4	1	no	—
968	C₂²×D₅₃	—	4	2	no	—
969	C₂²×D₅₃	—	4	2	no	—
970	C₂²×D₅₃	—	4	1	no	—
971	C₂²×D₅₃	—	4	2	no	—
972	C₂²×D₅₃	—	4	4	no	—
973	C₂²×D₅₃	—	4	2	no	—
974	C₂²×D₅₃	—	4	4	no	—
975	C₂²×D₅₃	—	4	16	no	—
976	C₂²×D₅₃	—	4	16	no	—
977	C₂²×D₅₃	C₂×#41	1	4	yes	complemented
978	C₂²×D₅₃	C₂⁵	1	4	yes	—
979	C₂²×D₅₃	C₂⁵	1	2	yes	—
980	C₂²×D₅₃	C₂⁵	1	2	yes	—
981	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
982	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
983	Q₈×C₅₃	—	4	2	no	—
984	Q₈×C₅₃	—	4	2	no	—
985	D₄×C₅₃	—	2	8	no	—
986	D₄×C₅₃	—	2	8	no	—
987	D₄×C₅₃	—	2	8	no	—
988	D₄×C₅₃	—	4	4	no	—
989	D₄×C₅₃	—	4	2	no	—
990	D₄×C₅₃	—	4	4	no	—
991	D₄×C₅₃	—	4	2	no	—
992	C₂×C₄×C₅₃	—	2	2	no	—
993	C₂×C₄×C₅₃	—	2	4	no	—
994	C₂×C₄×C₅₃	—	2	2	no	—
995	C₂×C₄×C₅₃	—	2	4	no	—
996	C₂×C₄×C₅₃	—	2	4	no	—
997	C₂×C₄×C₅₃	—	2	8	no	—
998	C₂×C₄×C₅₃	—	4	2	no	—
999	C₂×C₄×C₅₃	—	4	1	no	—
1000	C₂×C₄×C₅₃	—	4	2	no	—
1001	C₂×C₄×C₅₃	—	4	1	no	—
1002	C₂×C₄×C₅₃	—	4	2	no	—
1003	C₂×C₄×C₅₃	—	4	1	no	—
1004	C₂×C₄×C₅₃	—	4	2	no	—
1005	C₂×C₄×C₅₃	—	4	4	no	—
1006	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1007	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1008	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1009	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1010	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1011	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1012	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1013	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1014	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1015	C₂²⋊D₅₃	—	2	8	no	—
1016	C₂²⋊D₅₃	—	2	8	no	—
1017	C₂²⋊D₅₃	—	2	8	no	—
1018	C₂²⋊D₅₃	—	2	8	no	—
1019	C₂²⋊D₅₃	—	2	8	no	—
1020	C₂²⋊D₅₃	—	2	8	no	—
1021	C₂²⋊D₅₃	—	2	8	no	—
1022	C₂²⋊D₅₃	—	2	8	no	—
1023	C₂²⋊D₅₃	—	4	4	no	—
1024	C₂²⋊D₅₃	—	4	4	no	—
1025	C₂²⋊D₅₃	—	4	4	no	—
1026	C₂²⋊D₅₃	—	4	4	no	—
1027	C₂²⋊D₅₃	—	4	4	no	—
1028	C₂²⋊D₅₃	C₂×#41	1	16	yes	complemented
1029	C₂×Dic₅₃	—	2	4	no	—
1030	C₂×Dic₅₃	—	2	8	no	—
1031	C₂×Dic₅₃	—	2	4	no	—
1032	C₂×Dic₅₃	—	2	2	no	—
1033	C₂×Dic₅₃	—	2	4	no	—
1034	C₂×Dic₅₃	—	4	2	no	—
1035	C₂×Dic₅₃	—	4	1	no	—
1036	C₂×Dic₅₃	—	4	2	no	—
1037	C₂×Dic₅₃	—	4	1	no	—
1038	C₂×Dic₅₃	—	4	2	no	—
1039	C₂×Dic₅₃	—	4	4	no	—
1040	C₂×Dic₅₃	—	4	1	no	—
1041	C₂×Dic₅₃	—	4	4	no	—
1042	C₂×Dic₅₃	—	4	2	no	—
1043	C₂×Dic₅₃	C₂×#41	1	4	yes	complemented
1044	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1045	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1046	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1047	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1048	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1049	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1050	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1051	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1052	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1053	D₂₁₂	—	2	8	no	—
1054	D₂₁₂	—	2	8	no	—
1055	D₂₁₂	—	2	8	no	—
1056	D₂₁₂	—	2	8	no	—
1057	D₂₁₂	—	4	4	no	—
1058	D₂₁₂	—	4	4	no	—
1059	D₂₁₂	—	4	2	no	—
1060	D₂₁₂	—	4	2	no	—
1061	C₄×D₅₃	—	2	8	no	—
1062	C₄×D₅₃	—	2	2	no	—
1063	C₄×D₅₃	—	2	4	no	—
1064	C₄×D₅₃	—	2	4	no	—
1065	C₄×D₅₃	—	2	4	no	—
1066	C₄×D₅₃	—	2	2	no	—
1067	C₄×D₅₃	—	2	4	no	—
1068	C₄×D₅₃	—	2	4	no	—
1069	C₄×D₅₃	—	2	8	no	—
1070	C₄×D₅₃	—	2	4	no	—
1071	C₄×D₅₃	—	2	4	no	—
1072	C₄×D₅₃	—	2	8	no	—
1073	C₄×D₅₃	—	2	2	no	—
1074	C₄×D₅₃	—	2	4	no	—
1075	C₄×D₅₃	—	2	4	no	—
1076	C₄×D₅₃	—	4	2	no	—
1077	C₄×D₅₃	—	4	2	no	—
1078	C₄×D₅₃	—	4	2	no	—
1079	C₄×D₅₃	—	4	2	no	—
1080	C₄×D₅₃	—	4	2	no	—
1081	C₄×D₅₃	—	4	2	no	—
1082	C₄×D₅₃	—	4	2	no	—
1083	C₄×D₅₃	—	4	4	no	—
1084	C₄×D₅₃	—	4	4	no	—
1085	C₄×D₅₃	—	4	4	no	—
1086	C₄×D₅₃	—	4	4	no	—
1087	C₄×D₅₃	—	4	4	no	—
1088	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	complemented
1089	Dic₁₀₆	—	2	8	no	—
1090	Dic₁₀₆	—	2	8	no	—
1091	Dic₁₀₆	—	4	4	no	—
1092	Dic₁₀₆	—	4	2	no	—
1093	Dic₁₀₆	—	4	2	no	—
1094	#62773	—	53	1	no	maximal, Sylow
1095	C₂²×C₅₃	—	2	1	no	—
1096	C₂²×C₅₃	—	2	2	no	—
1097	C₂²×C₅₃	—	2	1	no	—
1098	C₂²×C₅₃	—	2	2	no	—
1099	C₂²×C₅₃	—	2	4	no	—
1100	C₂²×C₅₃	—	2	2	no	—
1101	C₂²×C₅₃	—	2	2	no	—
1102	C₂²×C₅₃	—	2	4	no	—
1103	C₂²×C₅₃	—	2	4	no	—
1104	C₂²×C₅₃	—	2	2	no	—
1105	C₂²×C₅₃	—	4	4	no	—
1106	C₂²×C₅₃	—	4	4	no	—
1107	C₂²×C₅₃	—	8	4	no	—
1108	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1109	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1110	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1111	C₂×D₅₃	—	2	8	no	—
1112	C₂×D₅₃	—	2	1	no	—
1113	C₂×D₅₃	—	2	1	no	—
1114	C₂×D₅₃	—	2	1	no	—
1115	C₂×D₅₃	—	2	2	no	—
1116	C₂×D₅₃	—	2	1	no	—
1117	C₂×D₅₃	—	2	2	no	—
1118	C₂×D₅₃	—	2	4	no	—
1119	C₂×D₅₃	—	2	2	no	—
1120	C₂×D₅₃	—	2	2	no	—
1121	C₂×D₅₃	—	2	4	no	—
1122	C₂×D₅₃	—	2	4	no	—
1123	C₂×D₅₃	—	2	2	no	—
1124	C₂×D₅₃	—	4	4	no	—
1125	C₂×D₅₃	—	4	8	no	—
1126	C₂×D₅₃	—	4	8	no	—
1127	C₂×D₅₃	—	4	8	no	—
1128	C₂×D₅₃	—	4	8	no	—
1129	C₂×D₅₃	—	4	4	no	—
1130	C₂×D₅₃	—	8	8	no	—
1131	C₂×D₅₃	—	8	4	no	—
1132	C₂×D₅₃	C₂²×#41	1	4	yes	—
1133	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1134	C₂×D₅₃	#585	1	2	yes	—
1135	C₄×C₅₃	—	2	4	no	—
1136	C₄×C₅₃	—	2	2	no	—
1137	C₄×C₅₃	—	2	4	no	—
1138	C₄×C₅₃	—	2	2	no	—
1139	C₄×C₅₃	—	2	1	no	—
1140	C₄×C₅₃	—	2	2	no	—
1141	C₄×C₅₃	—	2	2	no	—
1142	C₄×C₅₃	—	2	4	no	—
1143	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1144	Dic₅₃	—	2	4	no	—
1145	Dic₅₃	—	2	4	no	—
1146	Dic₅₃	—	2	2	no	—
1147	Dic₅₃	—	2	1	no	—
1148	Dic₅₃	—	2	2	no	—
1149	Dic₅₃	—	2	4	no	—
1150	Dic₅₃	—	2	2	no	—
1151	Dic₅₃	C₂²×#41	1	4	yes	—
1152	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1153	#3520	—	53	4	no	—
1154	#3519	—	53	4	no	—
1155	#3513	—	53	4	no	—
1156	#3513	—	53	4	no	—
1157	#3506	—	53	2	no	—
1158	#3505	—	53	2	no	—
1159	#3505	—	53	2	no	—
1160	#3501	—	53	1	no	—
1161	#3496	—	53	1	no	—
1162	#3492	—	53	2	no	—
1163	#3490	—	53	1	no	—
1164	#3490	—	53	2	no	—
1165	#3490	—	53	1	no	—
1166	#3484	—	53	2	no	—
1167	#3481	—	53	4	no	—
1168	#3481	—	53	4	no	—
1169	#3475	—	53	4	no	—
1170	D₄×#41	—	53	4	no	—
1171	#3460	—	53	2	no	—
1172	#3459	—	53	2	no	—
1173	#3459	—	53	1	no	—
1174	#3459	D₅₃	1	1	yes	characteristic, complemented
1175	#3444	—	53	2	no	—
1176	C₂×#525	—	53	2	no	—
1177	C₂×#525	—	53	2	no	—
1178	C₄×H(5,𝔽₂)	—	53	2	no	—
1179	C₂²×C₄×D₄	—	53	1	no	—
1180	C₂×C₅₃	—	2	2	no	—
1181	C₂×C₅₃	—	2	4	no	—
1182	C₂×C₅₃	—	4	2	no	—
1183	C₂×C₅₃	—	4	4	no	—
1184	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1185	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1186	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1187	D₅₃	—	2	2	no	—
1188	D₅₃	—	2	2	no	—
1189	D₅₃	—	2	4	no	—
1190	D₅₃	—	4	2	no	—
1191	D₅₃	—	4	4	no	—
1192	C₂×H(5,𝔽₂)	—	53	2	no	—
1193	C₂²×#41	—	53	2	no	—
1194	C₂²×#41	—	53	2	no	—
1195	C₂³×D₄	—	53	1	no	—
1196	C₂⁴×C₄	—	53	1	no	—
1197	C₂⁴×C₄	—	53	1	no	—
1198	#559	—	53	4	no	—
1199	#559	—	53	4	no	—
1200	#556	—	53	4	no	—
1201	#555	—	53	4	no	—
1202	#554	—	53	4	no	—
1203	#554	—	53	4	no	—
1204	#554	—	53	4	no	—
1205	#554	—	53	4	no	—
1206	#554	—	53	4	no	—
1207	#553	—	53	4	no	—
1208	#553	—	53	4	no	—
1209	#553	—	53	4	no	—
1210	#553	—	53	4	no	—
1211	#553	—	53	4	no	—
1212	#553	—	53	4	no	—
1213	#553	—	53	4	no	—
1214	#553	—	53	4	no	—
1215	#553	—	53	4	no	—
1216	#553	—	53	4	no	—
1217	#552	—	53	4	no	—
1218	#552	—	53	4	no	—
1219	#552	—	53	4	no	—
1220	#552	—	53	4	no	—
1221	#551	—	53	4	no	—
1222	#551	—	53	4	no	—
1223	#551	—	53	4	no	—
1224	#551	—	53	4	no	—
1225	#551	—	53	4	no	—
1226	#551	—	53	4	no	—
1227	#551	—	53	4	no	—
1228	#551	—	53	4	no	—
1229	#551	—	53	4	no	—
1230	#551	—	53	4	no	—
1231	#551	—	53	4	no	—
1232	#551	—	53	4	no	—
1233	#550	—	53	4	no	—
1234	D₄×Q₈	—	53	4	no	—
1235	#548	—	53	4	no	—
1236	#548	—	53	4	no	—
1237	#547	—	53	4	no	—
1238	#547	—	53	4	no	—
1239	#547	—	53	4	no	—
1240	#547	—	53	4	no	—
1241	#546	—	53	4	no	—
1242	#546	—	53	4	no	—
1243	#546	—	53	4	no	—
1244	#546	—	53	4	no	—
1245	#546	—	53	4	no	—
1246	#546	—	53	4	no	—
1247	#546	—	53	4	no	—
1248	#546	—	53	4	no	—
1249	#546	—	53	4	no	—
1250	#546	—	53	4	no	—
1251	#546	—	53	4	no	—
1252	#546	—	53	4	no	—
1253	#546	—	53	4	no	—
1254	#546	—	53	4	no	—
1255	#546	—	53	4	no	—
1256	#546	—	53	4	no	—
1257	D₄²	—	53	4	no	—
1258	D₄²	—	53	4	no	—
1259	D₄²	—	53	4	no	—
1260	D₄²	—	53	4	no	—
1261	D₄²	—	53	4	no	—
1262	#544	—	53	2	no	—
1263	#543	—	53	2	no	—
1264	#543	—	53	1	no	—
1265	#543	C₂×D₅₃	1	1	yes	characteristic, complemented
1266	#542	—	53	4	no	—
1267	#542	—	53	4	no	—
1268	#540	—	53	4	no	—
1269	#540	—	53	4	no	—
1270	#539	—	53	4	no	—
1271	#539	—	53	4	no	—
1272	#539	—	53	4	no	—
1273	#539	—	53	4	no	—
1274	#539	—	53	2	no	—
1275	#539	C₂×D₅₃	1	2	yes	complemented
1276	#539	C₂×D₅₃	1	4	yes	complemented
1277	#538	—	53	4	no	—
1278	#538	—	53	4	no	—
1279	#538	—	53	2	no	—
1280	#538	—	53	2	no	—
1281	#538	—	53	2	no	—
1282	#538	—	53	2	no	—
1283	#538	—	53	4	no	—
1284	#538	—	53	4	no	—
1285	#538	—	53	2	no	—
1286	#538	C₂×D₅₃	1	2	yes	complemented
1287	#538	C₂×D₅₃	1	4	yes	complemented
1288	#537	—	53	2	no	—
1289	#535	—	53	4	no	—
1290	#534	—	53	2	no	—
1291	#534	—	53	4	no	—
1292	#534	—	53	2	no	—
1293	#534	—	53	1	no	—
1294	#534	C₂×D₅₃	1	2	yes	complemented
1295	#534	C₂×D₅₃	1	1	yes	characteristic, complemented
1296	#533	—	53	2	no	—
1297	#533	—	53	2	no	—
1298	#533	—	53	2	no	—
1299	#532	—	53	4	no	—
1300	#532	—	53	2	no	—
1301	#532	—	53	2	no	—
1302	#532	—	53	2	no	—
1303	#532	—	53	4	no	—
1304	#529	—	53	4	no	—
1305	#529	—	53	4	no	—
1306	#529	—	53	2	no	—
1307	#529	—	53	2	no	—
1308	#529	—	53	4	no	—
1309	#529	—	53	4	no	—
1310	#529	—	53	4	no	—
1311	#529	—	53	4	no	—
1312	#529	—	53	4	no	—
1313	#529	—	53	4	no	—
1314	#529	—	53	4	no	—
1315	#529	—	53	2	no	—
1316	#529	C₂×D₅₃	1	2	yes	complemented
1317	#529	C₂×D₅₃	1	4	yes	complemented
1318	#525	—	53	2	no	—
1319	#525	—	53	2	no	—
1320	#525	—	53	4	no	—
1321	#525	—	53	4	no	—
1322	#525	—	53	2	no	—
1323	#525	—	53	2	no	—
1324	#525	—	53	2	no	—
1325	#525	—	53	2	no	—
1326	#525	—	53	2	no	—
1327	#525	—	53	2	no	—
1328	#525	—	53	4	no	—
1329	#525	—	53	4	no	—
1330	#525	—	53	4	no	—
1331	#525	—	53	4	no	—
1332	#525	—	53	4	no	—
1333	#525	—	53	4	no	—
1334	#525	—	53	4	no	—
1335	#525	—	53	4	no	—
1336	#525	—	53	4	no	—
1337	#525	—	53	4	no	—
1338	#525	—	53	4	no	—
1339	#525	—	53	4	no	—
1340	#525	—	53	2	no	—
1341	#525	—	53	4	no	—
1342	#525	C₂×D₅₃	1	2	yes	complemented
1343	#525	C₂×D₅₃	1	4	yes	complemented
1344	C₂×#123	—	53	4	no	—
1345	C₂×#123	—	53	2	no	—
1346	C₂×#123	—	53	2	no	—
1347	C₂×C₂²⋊Q₈	—	53	2	no	—
1348	C₂×C₂²⋊Q₈	—	53	2	no	—
1349	C₂×C₂²⋊Q₈	—	53	2	no	—
1350	C₂×C₂²⋊Q₈	—	53	2	no	—
1351	C₂×#121	—	53	2	no	—
1352	C₂×#121	—	53	2	no	—
1353	C₂×#121	—	53	2	no	—
1354	C₂×#121	—	53	2	no	—
1355	C₂×#120	—	53	2	no	—
1356	C₂×#120	—	53	4	no	—
1357	C₂×#120	—	53	2	no	—
1358	#520	—	53	4	no	—
1359	#520	—	53	4	no	—
1360	#520	—	53	4	no	—
1361	#518	—	53	2	no	—
1362	#518	—	53	4	no	—
1363	#518	—	53	4	no	—
1364	#518	—	53	2	no	—
1365	#518	—	53	2	no	—
1366	#518	—	53	4	no	—
1367	C₄×#41	—	53	2	no	—
1368	C₄×#41	—	53	4	no	—
1369	C₄×#41	—	53	4	no	—
1370	C₄×#41	—	53	2	no	—
1371	C₄×#41	—	53	4	no	—
1372	C₄×#41	—	53	4	no	—
1373	C₂×C₄×D₄	—	53	1	no	—
1374	C₂×C₄×D₄	—	53	1	no	—
1375	C₂×C₄×D₄	—	53	1	no	—
1376	C₂×C₄×D₄	—	53	2	no	—
1377	C₂×C₄×D₄	—	53	4	no	—
1378	C₂×C₄×D₄	—	53	2	no	—
1379	C₂×C₄×D₄	—	53	4	no	—
1380	C₂×C₄×D₄	—	53	4	no	—
1381	C₂×C₄×D₄	—	53	4	no	—
1382	C₂×C₄×D₄	—	53	4	no	—
1383	C₂×C₄×D₄	—	53	4	no	—
1384	C₂×C₄×D₄	—	53	4	no	—
1385	C₂×C₄×D₄	—	53	4	no	—
1386	C₂×C₄×D₄	—	53	1	no	—
1387	C₂×C₄×D₄	—	53	1	no	—
1388	C₂×C₄×D₄	—	53	1	no	—
1389	C₂×C₄×D₄	—	53	1	no	—
1390	C₂×C₄×D₄	—	53	2	no	—
1391	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1392	C₂×C₄×D₄	C₂×D₅₃	1	2	yes	complemented
1393	C₂×#117	—	53	2	no	—
1394	C₂×#117	—	53	2	no	—
1395	C₂²×C₄⋊C₄	—	53	1	no	—
1396	C₂²×C₂²⋊C₄	—	53	1	no	—
1397	C₂²×C₂²⋊C₄	—	53	1	no	—
1398	C₂²×C₄²	—	53	1	no	—
1399	C₅₃	#62773	1	1	yes	characteristic, complemented, Sylow
1400	C₂⁵	—	53	1	no	—
1401	C₂⁵	—	53	1	no	—
1402	H(5,𝔽₂)	—	106	16	no	—
1403	C₂×#41	—	53	2	no	—
1404	C₂×#41	—	53	2	no	—
1405	C₂×#41	—	53	4	no	—
1406	C₂×#41	—	53	4	no	—
1407	C₂×#41	—	53	2	no	—
1408	C₂×#41	—	53	2	no	—
1409	C₂×#41	—	53	4	no	—
1410	C₂×#41	—	53	4	no	—
1411	C₂×#41	—	53	4	no	—
1412	C₂×#41	—	53	2	no	—
1413	C₂×#41	—	53	4	no	—
1414	C₂×#41	—	53	4	no	—
1415	C₂×#41	—	53	4	no	—
1416	C₂×#41	—	212	8	no	—
1417	C₂×#41	—	212	8	no	—
1418	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1419	C₂²×Q₈	—	53	2	no	—
1420	C₂²×Q₈	—	53	2	no	—
1421	C₂²×D₄	—	53	1	no	—
1422	C₂²×D₄	—	53	1	no	—
1423	C₂²×D₄	—	53	2	no	—
1424	C₂²×D₄	—	53	4	no	—
1425	C₂²×D₄	—	53	2	no	—
1426	C₂²×D₄	—	53	2	no	—
1427	C₂²×D₄	—	53	2	no	—
1428	C₂²×D₄	—	53	4	no	—
1429	C₂²×D₄	—	53	4	no	—
1430	C₂²×D₄	—	53	4	no	—
1431	C₂²×D₄	—	53	4	no	—
1432	C₂²×D₄	—	53	4	no	—
1433	C₂²×D₄	—	53	4	no	—
1434	C₂²×D₄	—	53	2	no	—
1435	C₂²×D₄	—	53	1	no	—
1436	C₂²×D₄	—	53	2	no	—
1437	C₂²×D₄	—	53	2	no	—
1438	C₂²×D₄	—	106	8	no	—
1439	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1440	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1441	C₂³×C₄	—	53	1	no	—
1442	C₂³×C₄	—	53	1	no	—
1443	C₂³×C₄	—	53	1	no	—
1444	C₂³×C₄	—	53	2	no	—
1445	C₂³×C₄	—	53	2	no	—
1446	C₂³×C₄	—	53	1	no	—
1447	C₂³×C₄	—	53	1	no	—
1448	C₂³×C₄	—	53	1	no	—
1449	C₂³×C₄	—	53	1	no	—
1450	C₂³×C₄	—	53	1	no	—
1451	C₂³×C₄	—	53	2	no	—
1452	C₂³×C₄	—	53	2	no	—
1453	C₂³×C₄	—	53	2	no	—
1454	C₂³×C₄	—	53	4	no	—
1455	C₂³×C₄	—	53	1	no	—
1456	C₂³×C₄	—	53	2	no	—
1457	C₂³×C₄	—	53	2	no	—
1458	C₂³×C₄	—	53	2	no	—
1459	C₂³×C₄	—	53	2	no	—
1460	C₂³×C₄	—	53	1	no	—
1461	C₂³×C₄	—	53	1	no	—
1462	C₂³×C₄	—	212	4	no	—
1463	C₂³×C₄	—	212	4	no	—
1464	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1465	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1466	C₂³×C₄	C₂²×D₅₃	1	2	yes	complemented
1467	C₄⋊Q₈	—	53	2	no	—
1468	C₄⋊Q₈	—	53	4	no	—
1469	C₄⋊Q₈	—	53	2	no	—
1470	C₄⋊Q₈	—	53	2	no	—
1471	C₄⋊Q₈	—	53	4	no	—
1472	#127	—	53	2	no	—
1473	#127	—	53	4	no	—
1474	#127	—	53	4	no	—
1475	#126	—	53	4	no	—
1476	#126	—	53	4	no	—
1477	#126	—	53	4	no	—
1478	#126	—	53	4	no	—
1479	#126	—	53	4	no	—
1480	#126	—	53	4	no	—
1481	#126	—	53	4	no	—
1482	#126	—	53	4	no	—
1483	#126	—	53	4	no	—
1484	#126	—	53	4	no	—
1485	#126	—	53	4	no	—
1486	#126	—	53	4	no	—
1487	#126	—	53	4	no	—
1488	#126	C₂²×D₅₃	1	4	yes	complemented
1489	#126	C₂²×D₅₃	1	4	yes	complemented
1490	#126	C₂²×D₅₃	1	4	yes	complemented
1491	#125	—	53	4	no	—
1492	#125	—	53	4	no	—
1493	#125	—	53	4	no	—
1494	#125	—	53	4	no	—
1495	#125	—	53	4	no	—
1496	#125	—	53	4	no	—
1497	#125	—	53	4	no	—
1498	#125	—	53	2	no	—
1499	#125	C₂²×D₅₃	1	2	yes	complemented
1500	#125	C₂²×D₅₃	1	4	yes	complemented
1501	#124	—	53	4	no	—
1502	#124	—	53	4	no	—
1503	#124	—	53	4	no	—
1504	#124	—	53	4	no	—
1505	#124	—	53	4	no	—
1506	#124	—	53	4	no	—
1507	#124	—	53	4	no	—
1508	#124	—	53	4	no	—
1509	#124	—	53	4	no	—
1510	#124	—	53	4	no	—
1511	#124	—	53	4	no	—
1512	#124	—	53	2	no	—
1513	#124	C₂²×D₅₃	1	2	yes	complemented
1514	#124	C₂²×D₅₃	1	4	yes	complemented
1515	#123	—	53	4	no	—
1516	#123	—	53	4	no	—
1517	#123	—	53	4	no	—
1518	#123	—	53	4	no	—
1519	#123	—	53	4	no	—
1520	#123	—	53	4	no	—
1521	#123	—	53	4	no	—
1522	#123	—	53	4	no	—
1523	#123	—	53	4	no	—
1524	#123	—	53	4	no	—
1525	#123	—	53	4	no	—
1526	#123	—	53	4	no	—
1527	#123	—	53	4	no	—
1528	#123	—	53	4	no	—
1529	#123	—	53	4	no	—
1530	#123	—	53	4	no	—
1531	#123	—	53	4	no	—
1532	#123	—	53	4	no	—
1533	#123	—	53	4	no	—
1534	#123	—	53	4	no	—
1535	#123	—	53	4	no	—
1536	#123	—	53	4	no	—
1537	#123	—	53	4	no	—
1538	#123	—	53	4	no	—
1539	#123	—	53	4	no	—
1540	#123	—	53	4	no	—
1541	#123	—	53	4	no	—
1542	#123	—	53	4	no	—
1543	#123	—	53	4	no	—
1544	#123	—	53	4	no	—
1545	#123	—	53	4	no	—
1546	#123	—	53	4	no	—
1547	#123	C₂²×D₅₃	1	4	yes	—
1548	#123	C₂²×D₅₃	1	4	yes	—
1549	#123	C₂²×D₅₃	1	4	yes	complemented
1550	#123	C₂²×D₅₃	1	4	yes	complemented
1551	#123	C₂²×D₅₃	1	4	yes	complemented
1552	#123	C₂²×D₅₃	1	4	yes	complemented
1553	C₂²⋊Q₈	—	53	2	no	—
1554	C₂²⋊Q₈	—	53	2	no	—
1555	C₂²⋊Q₈	—	53	2	no	—
1556	C₂²⋊Q₈	—	53	4	no	—
1557	C₂²⋊Q₈	—	53	2	no	—
1558	C₂²⋊Q₈	—	53	2	no	—
1559	C₂²⋊Q₈	—	53	2	no	—
1560	C₂²⋊Q₈	—	53	4	no	—
1561	C₂²⋊Q₈	—	53	4	no	—
1562	C₂²⋊Q₈	—	53	4	no	—
1563	C₂²⋊Q₈	—	53	4	no	—
1564	C₂²⋊Q₈	—	53	4	no	—
1565	C₂²⋊Q₈	—	53	2	no	—
1566	C₂²⋊Q₈	—	53	2	no	—
1567	C₂²⋊Q₈	—	53	4	no	—
1568	C₂²⋊Q₈	—	53	4	no	—
1569	C₂²⋊Q₈	—	53	2	no	—
1570	C₂²⋊Q₈	—	53	4	no	—
1571	C₂²⋊Q₈	—	53	4	no	—
1572	C₂²⋊Q₈	—	53	4	no	—
1573	C₂²⋊Q₈	—	53	4	no	—
1574	C₂²⋊Q₈	—	53	4	no	—
1575	C₂²⋊Q₈	—	53	4	no	—
1576	C₂²⋊Q₈	—	53	4	no	—
1577	C₂²⋊Q₈	—	53	4	no	—
1578	C₂²⋊Q₈	—	53	4	no	—
1579	C₂²⋊Q₈	—	53	4	no	—
1580	C₂²⋊Q₈	—	53	4	no	—
1581	C₂²⋊Q₈	—	53	4	no	—
1582	C₂²⋊Q₈	—	53	4	no	—
1583	C₂²⋊Q₈	—	53	4	no	—
1584	C₂²⋊Q₈	—	53	4	no	—
1585	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1586	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1587	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1588	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1589	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1590	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1591	#121	—	53	4	no	—
1592	#121	—	53	4	no	—
1593	#121	—	53	4	no	—
1594	#121	—	53	2	no	—
1595	#121	—	53	2	no	—
1596	#121	—	53	4	no	—
1597	#121	—	53	4	no	—
1598	#121	—	53	2	no	—
1599	#121	—	53	4	no	—
1600	#121	—	53	4	no	—
1601	#121	—	53	4	no	—
1602	#121	—	53	4	no	—
1603	#121	—	53	4	no	—
1604	#121	—	53	4	no	—
1605	#121	—	53	4	no	—
1606	#121	—	53	4	no	—
1607	#121	—	53	4	no	—
1608	#121	—	53	2	no	—
1609	#121	—	53	2	no	—
1610	#121	—	53	2	no	—
1611	#121	—	53	2	no	—
1612	#121	—	53	2	no	—
1613	#121	—	53	2	no	—
1614	#121	—	53	4	no	—
1615	#121	—	53	4	no	—
1616	#121	—	53	4	no	—
1617	#121	—	53	4	no	—
1618	#121	—	53	4	no	—
1619	#121	—	53	4	no	—
1620	#121	—	53	4	no	—
1621	#121	—	53	4	no	—
1622	#121	—	53	4	no	—
1623	#121	—	53	4	no	—
1624	#121	—	53	4	no	—
1625	#121	—	53	4	no	—
1626	#121	—	53	4	no	—
1627	#121	—	53	4	no	—
1628	#121	—	53	4	no	—
1629	#121	—	53	4	no	—
1630	#121	—	53	4	no	—
1631	#121	C₂²×D₅₃	1	2	yes	—
1632	#121	C₂²×D₅₃	1	2	yes	—
1633	#121	C₂²×D₅₃	1	4	yes	—
1634	#121	C₂²×D₅₃	1	4	yes	—
1635	#121	C₂²×D₅₃	1	2	yes	complemented
1636	#121	C₂²×D₅₃	1	4	yes	complemented
1637	#120	—	53	4	no	—
1638	#120	—	53	4	no	—
1639	#120	—	53	4	no	—
1640	#120	—	53	4	no	—
1641	#120	—	53	4	no	—
1642	#120	—	53	4	no	—
1643	#120	—	53	4	no	—
1644	#120	—	53	4	no	—
1645	#120	—	53	4	no	—
1646	#120	—	53	4	no	—
1647	#120	—	53	4	no	—
1648	#120	—	53	4	no	—
1649	#120	—	53	4	no	—
1650	#120	—	53	4	no	—
1651	#120	—	53	4	no	—
1652	#120	—	53	4	no	—
1653	#120	—	53	4	no	—
1654	#120	—	53	4	no	—
1655	#120	—	53	4	no	—
1656	#120	C₂²×D₅₃	1	4	yes	—
1657	#120	C₂²×D₅₃	1	4	yes	—
1658	#120	C₂²×D₅₃	1	4	yes	complemented
1659	C₄×Q₈	—	53	2	no	—
1660	C₄×Q₈	—	53	4	no	—
1661	C₄×Q₈	—	53	4	no	—
1662	C₄×Q₈	—	53	4	no	—
1663	C₄×Q₈	—	53	4	no	—
1664	C₄×Q₈	—	53	2	no	—
1665	C₄×Q₈	—	53	4	no	—
1666	C₄×Q₈	—	53	4	no	—
1667	C₄×Q₈	—	53	2	no	—
1668	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1669	C₄×D₄	—	53	4	no	—
1670	C₄×D₄	—	53	4	no	—
1671	C₄×D₄	—	53	4	no	—
1672	C₄×D₄	—	53	4	no	—
1673	C₄×D₄	—	53	4	no	—
1674	C₄×D₄	—	53	4	no	—
1675	C₄×D₄	—	53	4	no	—
1676	C₄×D₄	—	53	2	no	—
1677	C₄×D₄	—	53	4	no	—
1678	C₄×D₄	—	53	4	no	—
1679	C₄×D₄	—	53	4	no	—
1680	C₄×D₄	—	53	4	no	—
1681	C₄×D₄	—	53	4	no	—
1682	C₄×D₄	—	53	4	no	—
1683	C₄×D₄	—	53	4	no	—
1684	C₄×D₄	—	53	4	no	—
1685	C₄×D₄	—	53	4	no	—
1686	C₄×D₄	—	53	4	no	—
1687	C₄×D₄	—	53	4	no	—
1688	C₄×D₄	—	53	4	no	—
1689	C₄×D₄	—	53	4	no	—
1690	C₄×D₄	—	53	4	no	—
1691	C₄×D₄	—	53	4	no	—
1692	C₄×D₄	—	53	4	no	—
1693	C₄×D₄	—	53	4	no	—
1694	C₄×D₄	—	53	4	no	—
1695	C₄×D₄	—	53	4	no	—
1696	C₄×D₄	—	53	4	no	—
1697	C₄×D₄	—	53	4	no	—
1698	C₄×D₄	—	53	4	no	—
1699	C₄×D₄	—	53	4	no	—
1700	C₄×D₄	—	53	4	no	—
1701	C₄×D₄	—	53	4	no	—
1702	C₄×D₄	—	53	4	no	—
1703	C₄×D₄	—	53	4	no	—
1704	C₄×D₄	—	53	4	no	—
1705	C₄×D₄	—	53	4	no	—
1706	C₄×D₄	—	53	2	no	—
1707	C₄×D₄	—	53	4	no	—
1708	C₄×D₄	—	53	4	no	—
1709	C₄×D₄	—	53	4	no	—
1710	C₄×D₄	—	53	4	no	—
1711	C₄×D₄	—	53	4	no	—
1712	C₄×D₄	—	53	4	no	—
1713	C₄×D₄	—	53	4	no	—
1714	C₄×D₄	—	53	4	no	—
1715	C₄×D₄	—	53	4	no	—
1716	C₄×D₄	—	53	4	no	—
1717	C₄×D₄	—	53	4	no	—
1718	C₄×D₄	—	53	4	no	—
1719	C₄×D₄	—	53	4	no	—
1720	C₄×D₄	—	53	4	no	—
1721	C₄×D₄	—	53	4	no	—
1722	C₄×D₄	—	53	4	no	—
1723	C₄×D₄	—	53	4	no	—
1724	C₄×D₄	—	53	4	no	—
1725	C₄×D₄	—	53	4	no	—
1726	C₄×D₄	—	53	4	no	—
1727	C₄×D₄	—	53	4	no	—
1728	C₄×D₄	—	53	4	no	—
1729	C₄×D₄	—	53	4	no	—
1730	C₄×D₄	—	53	4	no	—
1731	C₄×D₄	—	53	4	no	—
1732	C₄×D₄	—	53	4	no	—
1733	C₄×D₄	—	53	4	no	—
1734	C₄×D₄	—	53	2	no	—
1735	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1736	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1737	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1738	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1739	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1740	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1741	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1742	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1743	#117	—	53	2	no	—
1744	#117	—	53	4	no	—
1745	#117	—	53	2	no	—
1746	#117	—	53	2	no	—
1747	#117	—	53	4	no	—
1748	#117	—	53	4	no	—
1749	#117	—	53	2	no	—
1750	#117	—	53	2	no	—
1751	#117	—	53	4	no	—
1752	#117	—	53	4	no	—
1753	#117	—	53	4	no	—
1754	#117	—	53	4	no	—
1755	#117	—	53	4	no	—
1756	#117	—	53	4	no	—
1757	#117	—	53	4	no	—
1758	#117	—	53	4	no	—
1759	#117	—	53	4	no	—
1760	#117	—	53	4	no	—
1761	#117	—	53	4	no	—
1762	#117	—	53	4	no	—
1763	#117	—	53	4	no	—
1764	#117	—	53	4	no	—
1765	#117	C₂²×D₅₃	1	2	yes	complemented
1766	#117	C₂²×D₅₃	1	4	yes	complemented
1767	C₂×C₄⋊C₄	—	53	1	no	—
1768	C₂×C₄⋊C₄	—	53	1	no	—
1769	C₂×C₄⋊C₄	—	53	1	no	—
1770	C₂×C₄⋊C₄	—	53	2	no	—
1771	C₂×C₄⋊C₄	—	53	2	no	—
1772	C₂×C₄⋊C₄	—	53	2	no	—
1773	C₂×C₄⋊C₄	—	53	4	no	—
1774	C₂×C₄⋊C₄	—	53	2	no	—
1775	C₂×C₄⋊C₄	—	53	2	no	—
1776	C₂×C₄⋊C₄	—	53	4	no	—
1777	C₂×C₄⋊C₄	—	53	4	no	—
1778	C₂×C₄⋊C₄	—	53	2	no	—
1779	C₂×C₄⋊C₄	—	53	2	no	—
1780	C₂×C₄⋊C₄	—	53	4	no	—
1781	C₂×C₄⋊C₄	—	53	4	no	—
1782	C₂×C₄⋊C₄	—	53	4	no	—
1783	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1784	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1785	C₂×C₂²⋊C₄	—	53	1	no	—
1786	C₂×C₂²⋊C₄	—	53	1	no	—
1787	C₂×C₂²⋊C₄	—	53	2	no	—
1788	C₂×C₂²⋊C₄	—	53	4	no	—
1789	C₂×C₂²⋊C₄	—	53	2	no	—
1790	C₂×C₂²⋊C₄	—	53	1	no	—
1791	C₂×C₂²⋊C₄	—	53	1	no	—
1792	C₂×C₂²⋊C₄	—	53	1	no	—
1793	C₂×C₂²⋊C₄	—	53	1	no	—
1794	C₂×C₂²⋊C₄	—	53	2	no	—
1795	C₂×C₂²⋊C₄	—	53	2	no	—
1796	C₂×C₂²⋊C₄	—	53	2	no	—
1797	C₂×C₂²⋊C₄	—	53	4	no	—
1798	C₂×C₂²⋊C₄	—	53	2	no	—
1799	C₂×C₂²⋊C₄	—	53	2	no	—
1800	C₂×C₂²⋊C₄	—	53	2	no	—
1801	C₂×C₂²⋊C₄	—	53	4	no	—
1802	C₂×C₂²⋊C₄	—	53	4	no	—
1803	C₂×C₂²⋊C₄	—	53	4	no	—
1804	C₂×C₂²⋊C₄	—	53	4	no	—
1805	C₂×C₂²⋊C₄	—	53	4	no	—
1806	C₂×C₂²⋊C₄	—	53	4	no	—
1807	C₂×C₂²⋊C₄	—	53	4	no	—
1808	C₂×C₂²⋊C₄	—	53	4	no	—
1809	C₂×C₂²⋊C₄	—	53	4	no	—
1810	C₂×C₂²⋊C₄	—	53	4	no	—
1811	C₂×C₂²⋊C₄	—	53	4	no	—
1812	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1813	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1814	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1815	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1816	C₂×C₄²	—	53	2	no	—
1817	C₂×C₄²	—	53	1	no	—
1818	C₂×C₄²	—	53	1	no	—
1819	C₂×C₄²	—	53	1	no	—
1820	C₂×C₄²	—	53	4	no	—
1821	C₂×C₄²	—	53	4	no	—
1822	C₂×C₄²	—	53	2	no	—
1823	C₂×C₄²	—	53	2	no	—
1824	C₂×C₄²	—	53	2	no	—
1825	C₂×C₄²	—	53	2	no	—
1826	C₂×C₄²	—	53	4	no	—
1827	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1828	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
1829	C₂⁴	—	53	1	no	—
1830	C₂⁴	—	53	1	no	—
1831	C₂⁴	—	53	2	no	—
1832	C₂⁴	—	53	2	no	—
1833	C₂⁴	—	53	2	no	—
1834	C₂⁴	—	53	2	no	—
1835	C₂⁴	—	53	4	no	—
1836	C₂⁴	—	53	2	no	—
1837	C₂⁴	—	53	1	no	—
1838	C₂⁴	—	106	4	no	—
1839	C₂⁴	—	106	4	no	—
1840	C₂⁴	—	212	2	no	—
1841	C₂⁴	—	212	2	no	—
1842	C₂⁴	—	212	2	no	—
1843	C₂⁴	—	212	2	no	—
1844	C₂⁴	C₂³×D₅₃	1	2	yes	—
1845	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1846	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1847	#41	—	4	4	no	—
1848	#41	—	106	16	no	—
1849	#41	—	106	16	no	—
1850	#41	—	106	16	no	—
1851	#41	—	106	16	no	—
1852	#41	—	212	4	no	—
1853	#41	—	212	8	no	—
1854	#41	—	212	8	no	—
1855	#41	—	212	8	no	—
1856	#41	—	212	4	no	—
1857	#41	—	212	4	no	—
1858	#41	—	212	8	no	—
1859	#41	—	212	4	no	—
1860	#41	—	212	4	no	—
1861	C₂×Q₈	—	53	4	no	—
1862	C₂×Q₈	—	53	4	no	—
1863	C₂×Q₈	—	53	2	no	—
1864	C₂×Q₈	—	53	2	no	—
1865	C₂×Q₈	—	53	4	no	—
1866	C₂×Q₈	—	212	4	no	—
1867	C₂×Q₈	—	212	4	no	—
1868	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1869	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1870	C₂×D₄	—	2	4	no	—
1871	C₂×D₄	—	2	8	no	—
1872	C₂×D₄	—	53	8	no	—
1873	C₂×D₄	—	53	4	no	—
1874	C₂×D₄	—	53	4	no	—
1875	C₂×D₄	—	53	4	no	—
1876	C₂×D₄	—	53	4	no	—
1877	C₂×D₄	—	53	4	no	—
1878	C₂×D₄	—	53	4	no	—
1879	C₂×D₄	—	53	4	no	—
1880	C₂×D₄	—	53	4	no	—
1881	C₂×D₄	—	53	4	no	—
1882	C₂×D₄	—	53	4	no	—
1883	C₂×D₄	—	53	4	no	—
1884	C₂×D₄	—	53	4	no	—
1885	C₂×D₄	—	53	4	no	—
1886	C₂×D₄	—	53	4	no	—
1887	C₂×D₄	—	53	4	no	—
1888	C₂×D₄	—	53	4	no	—
1889	C₂×D₄	—	53	4	no	—
1890	C₂×D₄	—	53	4	no	—
1891	C₂×D₄	—	53	2	no	—
1892	C₂×D₄	—	53	4	no	—
1893	C₂×D₄	—	53	4	no	—
1894	C₂×D₄	—	53	2	no	—
1895	C₂×D₄	—	106	4	no	—
1896	C₂×D₄	—	106	4	no	—
1897	C₂×D₄	—	106	16	no	—
1898	C₂×D₄	—	106	16	no	—
1899	C₂×D₄	—	106	16	no	—
1900	C₂×D₄	—	106	16	no	—
1901	C₂×D₄	—	106	16	no	—
1902	C₂×D₄	—	106	8	no	—
1903	C₂×D₄	—	212	4	no	—
1904	C₂×D₄	—	212	4	no	—
1905	C₂×D₄	—	212	4	no	—
1906	C₂×D₄	—	212	4	no	—
1907	C₂×D₄	—	212	8	no	—
1908	C₂×D₄	—	212	8	no	—
1909	C₂×D₄	—	212	4	no	—
1910	C₂×D₄	—	212	4	no	—
1911	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1912	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1913	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1914	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1915	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1916	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1917	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1918	C₂²×C₄	—	4	2	no	—
1919	C₂²×C₄	—	4	2	no	—
1920	C₂²×C₄	—	4	4	no	—
1921	C₂²×C₄	—	53	1	no	—
1922	C₂²×C₄	—	53	1	no	—
1923	C₂²×C₄	—	53	1	no	—
1924	C₂²×C₄	—	53	2	no	—
1925	C₂²×C₄	—	53	4	no	—
1926	C₂²×C₄	—	53	2	no	—
1927	C₂²×C₄	—	53	2	no	—
1928	C₂²×C₄	—	53	1	no	—
1929	C₂²×C₄	—	53	2	no	—
1930	C₂²×C₄	—	53	4	no	—
1931	C₂²×C₄	—	53	1	no	—
1932	C₂²×C₄	—	53	2	no	—
1933	C₂²×C₄	—	53	2	no	—
1934	C₂²×C₄	—	53	1	no	—
1935	C₂²×C₄	—	53	4	no	—
1936	C₂²×C₄	—	53	2	no	—
1937	C₂²×C₄	—	53	2	no	—
1938	C₂²×C₄	—	53	2	no	—
1939	C₂²×C₄	—	53	2	no	—
1940	C₂²×C₄	—	53	1	no	—
1941	C₂²×C₄	—	53	1	no	—
1942	C₂²×C₄	—	53	4	no	—
1943	C₂²×C₄	—	53	4	no	—
1944	C₂²×C₄	—	53	2	no	—
1945	C₂²×C₄	—	53	2	no	—
1946	C₂²×C₄	—	53	2	no	—
1947	C₂²×C₄	—	53	2	no	—
1948	C₂²×C₄	—	53	1	no	—
1949	C₂²×C₄	—	53	2	no	—
1950	C₂²×C₄	—	53	4	no	—
1951	C₂²×C₄	—	53	2	no	—
1952	C₂²×C₄	—	53	2	no	—
1953	C₂²×C₄	—	53	4	no	—
1954	C₂²×C₄	—	53	4	no	—
1955	C₂²×C₄	—	53	2	no	—
1956	C₂²×C₄	—	53	2	no	—
1957	C₂²×C₄	—	53	2	no	—
1958	C₂²×C₄	—	53	2	no	—
1959	C₂²×C₄	—	53	4	no	—
1960	C₂²×C₄	—	53	4	no	—
1961	C₂²×C₄	—	53	4	no	—
1962	C₂²×C₄	—	53	2	no	—
1963	C₂²×C₄	—	53	2	no	—
1964	C₂²×C₄	—	106	4	no	—
1965	C₂²×C₄	—	106	8	no	—
1966	C₂²×C₄	—	106	8	no	—
1967	C₂²×C₄	—	106	4	no	—
1968	C₂²×C₄	—	212	2	no	—
1969	C₂²×C₄	—	212	4	no	—
1970	C₂²×C₄	—	212	2	no	—
1971	C₂²×C₄	—	212	4	no	—
1972	C₂²×C₄	—	212	4	no	—
1973	C₂²×C₄	—	212	8	no	—
1974	C₂²×C₄	—	212	4	no	—
1975	C₂²×C₄	—	212	4	no	—
1976	C₂²×C₄	—	212	2	no	—
1977	C₂²×C₄	—	212	2	no	—
1978	C₂²×C₄	—	212	2	no	—
1979	C₂²×C₄	—	212	4	no	—
1980	C₂²×C₄	—	212	4	no	—
1981	C₂²×C₄	—	212	2	no	—
1982	C₂²×C₄	—	212	2	no	—
1983	C₂²×C₄	—	212	2	no	—
1984	C₂²×C₄	—	212	2	no	—
1985	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1986	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1987	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1988	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1989	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1990	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1991	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1992	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1993	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1994	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1995	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1996	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1997	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1998	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1999	C₄⋊C₄	—	53	4	no	—
2000	C₄⋊C₄	—	53	4	no	—
2001	C₄⋊C₄	—	53	4	no	—
2002	C₄⋊C₄	—	53	4	no	—
2003	C₄⋊C₄	—	53	4	no	—
2004	C₄⋊C₄	—	53	4	no	—
2005	C₄⋊C₄	—	53	4	no	—
2006	C₄⋊C₄	—	53	4	no	—
2007	C₄⋊C₄	—	53	4	no	—
2008	C₄⋊C₄	—	53	4	no	—
2009	C₄⋊C₄	—	53	4	no	—
2010	C₄⋊C₄	—	53	4	no	—
2011	C₄⋊C₄	—	53	4	no	—
2012	C₄⋊C₄	—	53	4	no	—
2013	C₄⋊C₄	—	53	2	no	—
2014	C₄⋊C₄	—	53	2	no	—
2015	C₄⋊C₄	—	53	4	no	—
2016	C₄⋊C₄	—	53	4	no	—
2017	C₄⋊C₄	—	53	4	no	—
2018	C₄⋊C₄	—	53	4	no	—
2019	C₄⋊C₄	—	53	4	no	—
2020	C₄⋊C₄	—	53	4	no	—
2021	C₄⋊C₄	—	53	4	no	—
2022	C₄⋊C₄	—	53	4	no	—
2023	C₄⋊C₄	—	53	4	no	—
2024	C₄⋊C₄	—	53	2	no	—
2025	C₄⋊C₄	—	53	2	no	—
2026	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2027	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2028	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2029	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2030	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2031	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2032	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2033	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2034	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2035	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2036	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2037	C₂²⋊C₄	—	53	4	no	—
2038	C₂²⋊C₄	—	53	4	no	—
2039	C₂²⋊C₄	—	53	4	no	—
2040	C₂²⋊C₄	—	53	4	no	—
2041	C₂²⋊C₄	—	53	4	no	—
2042	C₂²⋊C₄	—	53	4	no	—
2043	C₂²⋊C₄	—	53	4	no	—
2044	C₂²⋊C₄	—	53	4	no	—
2045	C₂²⋊C₄	—	53	4	no	—
2046	C₂²⋊C₄	—	53	4	no	—
2047	C₂²⋊C₄	—	53	4	no	—
2048	C₂²⋊C₄	—	53	4	no	—
2049	C₂²⋊C₄	—	53	4	no	—
2050	C₂²⋊C₄	—	53	4	no	—
2051	C₂²⋊C₄	—	53	4	no	—
2052	C₂²⋊C₄	—	53	4	no	—
2053	C₂²⋊C₄	—	53	4	no	—
2054	C₂²⋊C₄	—	53	4	no	—
2055	C₂²⋊C₄	—	53	4	no	—
2056	C₂²⋊C₄	—	53	4	no	—
2057	C₂²⋊C₄	—	53	4	no	—
2058	C₂²⋊C₄	—	53	4	no	—
2059	C₂²⋊C₄	—	53	4	no	—
2060	C₂²⋊C₄	—	53	4	no	—
2061	C₂²⋊C₄	—	53	4	no	—
2062	C₂²⋊C₄	—	53	4	no	—
2063	C₂²⋊C₄	—	53	4	no	—
2064	C₂²⋊C₄	—	53	4	no	—
2065	C₂²⋊C₄	—	53	4	no	—
2066	C₂²⋊C₄	—	53	4	no	—
2067	C₂²⋊C₄	—	53	4	no	—
2068	C₂²⋊C₄	—	53	4	no	—
2069	C₂²⋊C₄	—	53	4	no	—
2070	C₂²⋊C₄	—	53	4	no	—
2071	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2072	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2073	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2074	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2075	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2076	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2077	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2078	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2079	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2080	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2081	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2082	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2083	C₄²	—	53	2	no	—
2084	C₄²	—	53	2	no	—
2085	C₄²	—	53	2	no	—
2086	C₄²	—	53	2	no	—
2087	C₄²	—	53	2	no	—
2088	C₄²	—	53	4	no	—
2089	C₄²	—	53	4	no	—
2090	C₄²	—	53	4	no	—
2091	C₄²	—	53	4	no	—
2092	C₄²	—	53	4	no	—
2093	C₄²	—	53	4	no	—
2094	C₄²	—	53	4	no	—
2095	C₄²	—	53	2	no	—
2096	C₄²	—	53	4	no	—
2097	C₄²	C₂³×D₅₃	1	2	yes	—
2098	C₄²	C₂³×D₅₃	1	4	yes	—
2099	C₄²	C₂³×D₅₃	1	2	yes	—
2100	C₄²	C₂³×D₅₃	1	4	yes	—
2101	C₂³	—	2	2	no	—
2102	C₂³	—	2	4	no	—
2103	C₂³	—	4	1	no	—
2104	C₂³	—	4	1	no	—
2105	C₂³	—	4	1	no	—
2106	C₂³	—	4	1	no	—
2107	C₂³	—	4	2	no	—
2108	C₂³	—	4	2	no	—
2109	C₂³	—	53	2	no	—
2110	C₂³	—	53	1	no	—
2111	C₂³	—	53	1	no	—
2112	C₂³	—	53	4	no	—
2113	C₂³	—	53	2	no	—
2114	C₂³	—	53	4	no	—
2115	C₂³	—	106	2	no	—
2116	C₂³	—	106	2	no	—
2117	C₂³	—	106	8	no	—
2118	C₂³	—	106	4	no	—
2119	C₂³	—	106	4	no	—
2120	C₂³	—	106	4	no	—
2121	C₂³	—	106	4	no	—
2122	C₂³	—	106	4	no	—
2123	C₂³	—	106	4	no	—
2124	C₂³	—	106	2	no	—
2125	C₂³	—	106	4	no	—
2126	C₂³	—	106	4	no	—
2127	C₂³	—	106	4	no	—
2128	C₂³	—	106	2	no	—
2129	C₂³	—	212	2	no	—
2130	C₂³	—	212	4	no	—
2131	C₂³	—	212	2	no	—
2132	C₂³	—	212	4	no	—
2133	C₂³	—	212	1	no	—
2134	C₂³	—	212	2	no	—
2135	C₂³	—	212	1	no	—
2136	C₂³	—	212	2	no	—
2137	C₂³	—	212	1	no	—
2138	C₂³	—	212	2	no	—
2139	C₂³	—	212	1	no	—
2140	C₂³	—	212	2	no	—
2141	C₂³	—	212	16	no	—
2142	C₂³	—	212	16	no	—
2143	C₂³	#41×D₅₃	1	4	yes	complemented
2144	C₂³	C₂⁴×D₅₃	1	2	yes	—
2145	C₂³	C₂⁴×D₅₃	1	4	yes	—
2146	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2147	C₂³	C₂⁴×D₅₃	1	2	yes	—
2148	Q₈	—	4	2	no	—
2149	Q₈	—	4	2	no	—
2150	Q₈	—	106	8	no	—
2151	Q₈	—	106	8	no	—
2152	Q₈	—	212	2	no	—
2153	Q₈	—	212	4	no	—
2154	Q₈	—	212	2	no	—
2155	D₄	—	2	8	no	—
2156	D₄	—	2	8	no	—
2157	D₄	—	2	8	no	—
2158	D₄	—	4	4	no	—
2159	D₄	—	4	2	no	—
2160	D₄	—	4	4	no	—
2161	D₄	—	4	2	no	—
2162	D₄	—	53	16	no	—
2163	D₄	—	106	8	no	—
2164	D₄	—	106	8	no	—
2165	D₄	—	106	8	no	—
2166	D₄	—	106	8	no	—
2167	D₄	—	106	8	no	—
2168	D₄	—	106	8	no	—
2169	D₄	—	106	8	no	—
2170	D₄	—	106	8	no	—
2171	D₄	—	106	8	no	—
2172	D₄	—	106	8	no	—
2173	D₄	—	106	8	no	—
2174	D₄	—	106	8	no	—
2175	D₄	—	212	4	no	—
2176	D₄	—	212	2	no	—
2177	D₄	—	212	4	no	—
2178	D₄	—	212	2	no	—
2179	D₄	—	212	4	no	—
2180	D₄	—	212	4	no	—
2181	D₄	—	212	4	no	—
2182	D₄	—	212	4	no	—
2183	D₄	—	212	4	no	—
2184	C₂×C₄	—	2	2	no	—
2185	C₂×C₄	—	2	4	no	—
2186	C₂×C₄	—	2	2	no	—
2187	C₂×C₄	—	2	4	no	—
2188	C₂×C₄	—	2	4	no	—
2189	C₂×C₄	—	2	8	no	—
2190	C₂×C₄	—	4	1	no	—
2191	C₂×C₄	—	4	2	no	—
2192	C₂×C₄	—	4	2	no	—
2193	C₂×C₄	—	4	1	no	—
2194	C₂×C₄	—	4	2	no	—
2195	C₂×C₄	—	4	4	no	—
2196	C₂×C₄	—	4	1	no	—
2197	C₂×C₄	—	4	2	no	—
2198	C₂×C₄	—	53	4	no	—
2199	C₂×C₄	—	53	2	no	—
2200	C₂×C₄	—	53	1	no	—
2201	C₂×C₄	—	53	4	no	—
2202	C₂×C₄	—	53	2	no	—
2203	C₂×C₄	—	53	4	no	—
2204	C₂×C₄	—	53	4	no	—
2205	C₂×C₄	—	53	1	no	—
2206	C₂×C₄	—	53	2	no	—
2207	C₂×C₄	—	53	4	no	—
2208	C₂×C₄	—	53	2	no	—
2209	C₂×C₄	—	106	2	no	—
2210	C₂×C₄	—	106	4	no	—
2211	C₂×C₄	—	106	4	no	—
2212	C₂×C₄	—	106	4	no	—
2213	C₂×C₄	—	106	4	no	—
2214	C₂×C₄	—	106	8	no	—
2215	C₂×C₄	—	106	2	no	—
2216	C₂×C₄	—	106	4	no	—
2217	C₂×C₄	—	106	4	no	—
2218	C₂×C₄	—	106	4	no	—
2219	C₂×C₄	—	106	8	no	—
2220	C₂×C₄	—	106	2	no	—
2221	C₂×C₄	—	106	4	no	—
2222	C₂×C₄	—	106	4	no	—
2223	C₂×C₄	—	106	8	no	—
2224	C₂×C₄	—	106	4	no	—
2225	C₂×C₄	—	106	2	no	—
2226	C₂×C₄	—	106	4	no	—
2227	C₂×C₄	—	106	4	no	—
2228	C₂×C₄	—	106	8	no	—
2229	C₂×C₄	—	212	2	no	—
2230	C₂×C₄	—	212	2	no	—
2231	C₂×C₄	—	212	2	no	—
2232	C₂×C₄	—	212	2	no	—
2233	C₂×C₄	—	212	2	no	—
2234	C₂×C₄	—	212	2	no	—
2235	C₂×C₄	—	212	2	no	—
2236	C₂×C₄	—	212	4	no	—
2237	C₂×C₄	—	212	4	no	—
2238	C₂×C₄	—	212	4	no	—
2239	C₂×C₄	—	212	4	no	—
2240	C₂×C₄	—	212	4	no	—
2241	C₂×C₄	—	212	1	no	—
2242	C₂×C₄	—	212	1	no	—
2243	C₂×C₄	—	212	2	no	—
2244	C₂×C₄	—	212	2	no	—
2245	C₂×C₄	—	212	1	no	—
2246	C₂×C₄	—	212	2	no	—
2247	C₂×C₄	—	212	4	no	—
2248	C₂×C₄	—	212	2	no	—
2249	C₂×C₄	—	212	4	no	—
2250	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2251	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2252	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2253	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2254	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2255	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2256	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2257	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2258	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2259	C₂²	—	2	1	no	—
2260	C₂²	—	2	2	no	—
2261	C₂²	—	2	1	no	—
2262	C₂²	—	2	2	no	—
2263	C₂²	—	2	4	no	—
2264	C₂²	—	2	2	no	—
2265	C₂²	—	2	2	no	—
2266	C₂²	—	2	4	no	—
2267	C₂²	—	2	4	no	—
2268	C₂²	—	2	2	no	—
2269	C₂²	—	4	4	no	—
2270	C₂²	—	4	4	no	—
2271	C₂²	—	8	4	no	—
2272	C₂²	—	53	4	no	—
2273	C₂²	—	53	2	no	—
2274	C₂²	—	53	2	no	—
2275	C₂²	—	106	8	no	—
2276	C₂²	—	106	1	no	—
2277	C₂²	—	106	1	no	—
2278	C₂²	—	106	1	no	—
2279	C₂²	—	106	2	no	—
2280	C₂²	—	106	1	no	—
2281	C₂²	—	106	2	no	—
2282	C₂²	—	106	4	no	—
2283	C₂²	—	106	2	no	—
2284	C₂²	—	106	2	no	—
2285	C₂²	—	106	4	no	—
2286	C₂²	—	106	4	no	—
2287	C₂²	—	106	2	no	—
2288	C₂²	—	424	4	no	—
2289	C₂²	—	424	8	no	—
2290	C₂²	—	212	4	no	—
2291	C₂²	—	212	8	no	—
2292	C₂²	—	212	8	no	—
2293	C₂²	—	212	4	no	—
2294	C₂²	—	212	8	no	—
2295	C₂²	—	212	8	no	—
2296	C₂²	C₂×#41×D₅₃	1	2	yes	—
2297	C₂²	C₂×#41×D₅₃	1	4	yes	—
2298	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2299	C₄	—	2	2	no	—
2300	C₄	—	2	4	no	—
2301	C₄	—	2	1	no	—
2302	C₄	—	2	2	no	—
2303	C₄	—	2	2	no	—
2304	C₄	—	2	4	no	—
2305	C₄	—	2	2	no	—
2306	C₄	—	2	4	no	—
2307	C₄	—	53	4	no	—
2308	C₄	—	53	2	no	—
2309	C₄	—	106	4	no	—
2310	C₄	—	106	1	no	—
2311	C₄	—	106	2	no	—
2312	C₄	—	106	2	no	—
2313	C₄	—	106	4	no	—
2314	C₄	—	106	2	no	—
2315	C₄	—	106	4	no	—
2316	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2317	C₂	—	2	2	no	—
2318	C₂	—	2	4	no	—
2319	C₂	—	4	2	no	—
2320	C₂	—	4	4	no	—
2321	C₂	—	106	2	no	—
2322	C₂	—	106	2	no	—
2323	C₂	—	106	4	no	—
2324	C₂	—	212	4	no	—
2325	C₂	—	212	2	no	—
2326	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2327	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2328	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₅₃×#3459	C₂
hypercenter	#3459	D₅₃
hypocenter	C₅₃	#62773
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #3459

Complements

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

N	H ≅ G/N	type
1. #20288756	C₂	semidirect
2. #20288739	C₂	semidirect
3. #20288651	C₂	semidirect
4. #20288645	C₂	semidirect
5. #20288562	C₂	semidirect
6. #20288552	C₂	semidirect
7. #20288547	C₂	semidirect
8. #20288515	C₂	semidirect
9. #20288476	C₂	semidirect
10. #20288420	C₂	semidirect
11. #20288405	C₂	semidirect
12. #20288403	C₂	semidirect
13. #20288401	C₂	semidirect
14. #20288347	C₂	semidirect
15. #20288321	C₂	semidirect
16. #20288317	C₂	semidirect
17. #20288267	C₂	semidirect
18. #20288198	C₂	semidirect
19. #20288133	C₂	semidirect
20. #20288125	C₂	semidirect
21. #20288124	C₂	semidirect
22. #20288009	C₂	semidirect
23. C₂×#16811132	C₂	semidirect
24. #525×D₅₃	C₂	semidirect
25. C₄×#13133262	C₂	semidirect
26. C₂×C₄×D₄×D₅₃	C₂	semidirect
27. C₅₃×#3459	C₂	semidirect
29. C₂²×#11719945	C₂²	semidirect
30. C₂×#41×D₅₃	C₂²	semidirect
32. C₂³×C₄×D₅₃	C₂²	semidirect
33. C₂³×C₄×D₅₃	C₂²	semidirect
34. #16811357	C₂²	semidirect
35. #16811355	C₂²	semidirect
36. #16811340	C₂²	semidirect
37. #16811335	C₂²	semidirect
38. #16811331	C₂²	semidirect
39. #16811329	C₂²	semidirect
40. #16811327	C₂²	semidirect
41. #16811327	C₂²	semidirect
42. #16811327	C₂²	semidirect
43. #16811326	C₂²	semidirect
44. #16811325	C₂²	semidirect
45. #16811324	C₂²	semidirect
46. #16811324	C₂²	semidirect
47. #16811324	C₂²	semidirect
48. #16811318	C₂²	semidirect
49. #16811318	C₂²	semidirect
50. #16811316	C₂²	semidirect
51. #16811316	C₂²	semidirect
52. #16811316	C₂²	semidirect
53. #16811310	C₂²	semidirect
54. #16811309	C₂²	semidirect
55. #16811305	C₂²	semidirect
56. #16811305	C₂²	semidirect
57. #16811304	C₂²	semidirect
58. #16811303	C₂²	semidirect
59. #16811301	C₂²	semidirect
60. #16811300	C₂²	semidirect
61. #16811300	C₂²	semidirect
62. #16811300	C₂²	semidirect
63. #16811298	C₂²	semidirect
64. #16811298	C₂²	semidirect
65. #16811298	C₂²	semidirect
66. #16811296	C₂²	semidirect
67. #16811296	C₂²	semidirect
68. #16811296	C₂²	semidirect
69. #16811291	C₂²	semidirect
70. #16811286	C₂²	semidirect
71. #16811283	C₂²	semidirect
72. #16811279	C₂²	semidirect
73. #16811275	C₂²	semidirect
74. #16811271	C₂²	semidirect
75. #16811271	C₂²	semidirect
76. #16811271	C₂²	semidirect
77. #16811270	C₂²	semidirect
78. #16811266	C₂²	semidirect
79. #16811265	C₂²	semidirect
80. #16811265	C₂²	semidirect
81. #16811265	C₂²	semidirect
82. #16811265	C₂²	semidirect
83. #16811265	C₂²	semidirect
84. #16811264	C₂²	semidirect
85. #16811264	C₂²	semidirect
86. #16811262	C₂²	semidirect
87. #16811262	C₂²	semidirect
88. #16811262	C₂²	semidirect
89. #16811260	C₂²	semidirect
90. #16811260	C₂²	semidirect
91. #16811260	C₂²	semidirect
92. #16811260	C₂²	semidirect
93. #16811257	C₂²	semidirect
94. #16811257	C₂²	semidirect
95. #16811255	C₂²	semidirect
96. #16811255	C₂²	semidirect
97. #16811255	C₂²	semidirect
98. #16811252	C₂²	semidirect
99. #16811249	C₂²	semidirect
100. #16811248	C₂²	semidirect
101. #16811243	C₂²	semidirect
102. #16811241	C₂²	semidirect
103. #16811225	C₂²	semidirect
104. #16811223	C₂²	semidirect
105. #16811221	C₂²	semidirect
106. #16811220	C₂²	semidirect
107. #16811217	C₂²	semidirect
108. #16811215	C₂²	semidirect
109. #16811214	C₂²	semidirect
110. #16811213	C₂²	semidirect
111. #16811213	C₂²	semidirect
112. #16811212	C₂²	semidirect
113. #16811211	C₂²	semidirect
114. #16811210	C₂²	semidirect
115. #16811210	C₂²	semidirect
116. #16811208	C₂²	semidirect
117. #16811207	C₂²	semidirect
118. #16811206	C₂²	semidirect
119. #16811200	C₂²	semidirect
120. #16811188	C₂²	semidirect
121. #16811185	C₂²	semidirect
122. #16811184	C₂²	semidirect
123. #16811182	C₂²	semidirect
124. #16811181	C₂²	semidirect
125. #16811179	C₂²	semidirect
126. #16811177	C₂²	semidirect
127. #16811175	C₂²	semidirect
128. #16811172	C₂²	semidirect
129. #16811170	C₂²	semidirect
130. #16811170	C₂²	semidirect
131. #16811169	C₂²	semidirect
132. #16811168	C₂²	semidirect
133. #16811160	C₂²	semidirect
134. #16811158	C₂²	semidirect
135. #16811157	C₂²	semidirect
136. #16811156	C₂²	semidirect
137. #16811156	C₂²	semidirect
138. #16811153	C₂²	semidirect
139. #16811153	C₂²	semidirect
140. #16811152	C₂²	semidirect
141. #16811151	C₂²	semidirect
142. #16811151	C₂²	semidirect
143. #16811151	C₂²	semidirect
144. #16811150	C₂²	semidirect
145. #16811136	C₂²	semidirect
146. #16811136	C₂²	semidirect
147. #16811136	C₂²	semidirect
148. #16811135	C₂²	semidirect
149. #16811135	C₂²	semidirect
150. #16811134	C₂²	semidirect
151. #16811133	C₂²	semidirect
152. #16811133	C₂²	semidirect
153. #16811133	C₂²	semidirect
154. #16811132	C₂²	semidirect
155. #16811132	C₂²	semidirect
156. #16811132	C₂²	semidirect
157. #16811132	C₂²	semidirect
158. #16811132	C₂²	semidirect
159. #16811132	C₂²	semidirect
160. #16811132	C₂²	semidirect
161. #16811132	C₂²	semidirect
162. #16811132	C₂²	semidirect
163. #16811132	C₂²	semidirect
164. #16811132	C₂²	semidirect
165. #16811131	C₂²	semidirect
166. #16811131	C₂²	semidirect
167. #16811130	C₂²	semidirect
168. #16811129	C₂²	semidirect
169. C₂×#13133202	C₂²	semidirect
170. C₂×#13133199	C₂²	semidirect
171. #123×D₅₃	C₂²	semidirect
172. C₂×#13133195	C₂²	semidirect
173. C₂×#13133194	C₂²	semidirect
174. C₂²⋊Q₈×D₅₃	C₂²	semidirect
175. C₂²⋊Q₈×D₅₃	C₂²	semidirect
176. C₂×#13133190	C₂²	semidirect
177. C₂×#13133189	C₂²	semidirect
178. #121×D₅₃	C₂²	semidirect
179. #121×D₅₃	C₂²	semidirect
180. C₂×#13133187	C₂²	semidirect
181. C₂×#13133185	C₂²	semidirect
182. #120×D₅₃	C₂²	semidirect
183. #16811104	C₂²	semidirect
184. #16811102	C₂²	semidirect
185. #16811102	C₂²	semidirect
186. #16811098	C₂²	semidirect
188. #16811096	C₂²	semidirect
189. #16811096	C₂²	semidirect
190. #16811095	C₂²	semidirect
191. #16811095	C₂²	semidirect
192. C₄×#11719949	C₂²	semidirect
193. C₄×#11719945	C₂²	semidirect
194. #16811091	C₂²	semidirect
195. C₄×#11719947	C₂²	semidirect
196. C₄×#11719947	C₂²	semidirect
197. C₄×#11719947	C₂²	semidirect
198. C₂×C₄×D₂₁₂	C₂²	semidirect
199. C₂×C₄×D₂₁₂	C₂²	semidirect
200. C₂×D₄×Dic₅₃	C₂²	semidirect
201. C₂×#13133179	C₂²	semidirect
203. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
204. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
205. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
206. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
208. C₂×#13133177	C₂²	semidirect
209. C₄×D₄×D₅₃	C₂²	semidirect
210. C₄×D₄×D₅₃	C₂²	semidirect
211. C₄×D₄×D₅₃	C₂²	semidirect
212. C₄×D₄×D₅₃	C₂²	semidirect
213. C₄×D₄×D₅₃	C₂²	semidirect
214. C₄×D₄×D₅₃	C₂²	semidirect
215. C₄×D₄×D₅₃	C₂²	semidirect
216. C₂×#13133174	C₂²	semidirect
217. #117×D₅₃	C₂²	semidirect
218. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
219. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
220. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
221. C₂×C₄²×D₅₃	C₂²	semidirect
222. C₅₃×#543	C₂²	semidirect
223. C₅₃×#539	C₂²	semidirect
224. C₅₃×#539	C₂²	semidirect
225. C₅₃×#538	C₂²	semidirect
226. C₅₃×#538	C₂²	semidirect
227. C₅₃×#534	C₂²	semidirect
228. C₅₃×#534	C₂²	semidirect
229. C₅₃×#529	C₂²	semidirect
230. C₅₃×#529	C₂²	semidirect
231. C₅₃×#525	C₂²	semidirect
232. C₅₃×#525	C₂²	semidirect
233. C₂×C₄×D₄×C₅₃	C₂²	semidirect
234. C₂×C₄×D₄×C₅₃	C₂²	semidirect
244. C₂×#11719945	C₂³	semidirect
245. C₂×#11719945	C₂³	semidirect
246. C₂×#11719945	C₂³	semidirect
251. C₂×#11719947	C₂³	semidirect
253. C₂²×Dic₁₀₆	C₂³	semidirect
254. C₂×Q₈×D₅₃	C₂³	semidirect
264. C₂²×C₂²⋊D₅₃	C₂³	semidirect
272. C₂×D₄×D₅₃	C₂³	semidirect
294. C₂²×C₄×D₅₃	C₂³	semidirect
295. C₂²×C₄×D₅₃	C₂³	semidirect
296. #13133216	C₂³	semidirect
297. #13133216	C₂³	semidirect
298. #13133216	C₂³	semidirect
299. #13133215	C₂³	semidirect
300. #13133215	C₂³	semidirect
303. #13133213	C₂³	semidirect
304. #13133212	C₂³	semidirect
305. #13133212	C₂³	semidirect
306. #13133212	C₂³	semidirect
307. #13133212	C₂³	semidirect
308. #13133212	C₂³	semidirect
309. #13133212	C₂³	semidirect
310. #13133212	C₂³	semidirect
311. #13133211	C₂³	semidirect
312. #13133210	C₂³	semidirect
313. #13133210	C₂³	semidirect
314. #13133210	C₂³	semidirect
315. #13133210	C₂³	semidirect
316. #13133210	C₂³	semidirect
317. #13133209	C₂³	semidirect
318. #13133208	C₂³	semidirect
319. #13133207	C₂³	semidirect
320. #13133207	C₂³	semidirect
321. #13133207	C₂³	semidirect
322. #13133207	C₂³	semidirect
323. #13133207	C₂³	semidirect
324. #13133207	C₂³	semidirect
325. #13133206	C₂³	semidirect
326. #13133206	C₂³	semidirect
327. #13133205	C₂³	semidirect
328. #13133204	C₂³	semidirect
331. #13133203	C₂³	semidirect
332. #13133203	C₂³	semidirect
333. #13133203	C₂³	semidirect
334. #13133203	C₂³	semidirect
335. #13133203	C₂³	semidirect
336. #13133203	C₂³	semidirect
343. #13133202	C₂³	semidirect
344. #13133202	C₂³	semidirect
345. #13133202	C₂³	semidirect
346. #13133202	C₂³	semidirect
347. #13133202	C₂³	semidirect
348. #13133202	C₂³	semidirect
349. #13133201	C₂³	semidirect
350. #13133201	C₂³	semidirect
351. #13133201	C₂³	semidirect
352. #13133201	C₂³	semidirect
353. #13133201	C₂³	semidirect
355. #13133200	C₂³	semidirect
360. #13133199	C₂³	semidirect
361. #13133199	C₂³	semidirect
362. #13133199	C₂³	semidirect
363. #13133199	C₂³	semidirect
364. #13133199	C₂³	semidirect
365. #13133199	C₂³	semidirect
367. #13133198	C₂³	semidirect
368. #13133198	C₂³	semidirect
371. #13133197	C₂³	semidirect
372. #13133197	C₂³	semidirect
373. #13133197	C₂³	semidirect
376. #13133196	C₂³	semidirect
381. #13133195	C₂³	semidirect
382. #13133195	C₂³	semidirect
383. #13133195	C₂³	semidirect
384. #13133195	C₂³	semidirect
385. #13133195	C₂³	semidirect
386. #13133195	C₂³	semidirect
387. #13133195	C₂³	semidirect
390. #13133194	C₂³	semidirect
391. #13133194	C₂³	semidirect
392. #13133194	C₂³	semidirect
393. #13133194	C₂³	semidirect
394. #13133194	C₂³	semidirect
395. #13133194	C₂³	semidirect
396. #13133194	C₂³	semidirect
399. #13133193	C₂³	semidirect
400. #13133193	C₂³	semidirect
405. #13133192	C₂³	semidirect
406. #13133192	C₂³	semidirect
407. #13133192	C₂³	semidirect
410. #13133191	C₂³	semidirect
419. #13133190	C₂³	semidirect
420. #13133190	C₂³	semidirect
421. #13133190	C₂³	semidirect
422. #13133190	C₂³	semidirect
423. #13133190	C₂³	semidirect
430. #13133189	C₂³	semidirect
431. #13133189	C₂³	semidirect
432. #13133189	C₂³	semidirect
433. #13133189	C₂³	semidirect
434. #13133189	C₂³	semidirect
435. #13133189	C₂³	semidirect
436. #13133189	C₂³	semidirect
439. #13133188	C₂³	semidirect
440. #13133188	C₂³	semidirect
449. #13133187	C₂³	semidirect
450. #13133187	C₂³	semidirect
459. #13133185	C₂³	semidirect
460. Q₈×Dic₅₃	C₂³	semidirect
461. C₄×Dic₁₀₆	C₂³	semidirect
462. C₄×Dic₁₀₆	C₂³	semidirect
463. C₄×Dic₁₀₆	C₂³	semidirect
464. #13133182	C₂³	semidirect
465. #13133182	C₂³	semidirect
466. #13133182	C₂³	semidirect
467. #13133182	C₂³	semidirect
468. #13133182	C₂³	semidirect
473. C₄×D₂₁₂	C₂³	semidirect
474. C₄×D₂₁₂	C₂³	semidirect
475. C₄×D₂₁₂	C₂³	semidirect
476. C₄×D₂₁₂	C₂³	semidirect
477. C₄×D₂₁₂	C₂³	semidirect
482. D₄×Dic₅₃	C₂³	semidirect
483. D₄×Dic₅₃	C₂³	semidirect
484. D₄×Dic₅₃	C₂³	semidirect
485. D₄×Dic₅₃	C₂³	semidirect
492. #13133179	C₂³	semidirect
493. #13133179	C₂³	semidirect
494. #13133179	C₂³	semidirect
505. C₄×C₂²⋊D₅₃	C₂³	semidirect
506. C₄×C₂²⋊D₅₃	C₂³	semidirect
507. C₄×C₂²⋊D₅₃	C₂³	semidirect
508. C₄×C₂²⋊D₅₃	C₂³	semidirect
509. C₄×C₂²⋊D₅₃	C₂³	semidirect
510. C₄×C₂²⋊D₅₃	C₂³	semidirect
511. C₄×C₂²⋊D₅₃	C₂³	semidirect
512. C₄×C₂²⋊D₅₃	C₂³	semidirect
513. C₄×C₂²⋊D₅₃	C₂³	semidirect
514. C₄×C₂²⋊D₅₃	C₂³	semidirect
515. C₄×C₂²⋊D₅₃	C₂³	semidirect
528. #13133177	C₂³	semidirect
529. #13133177	C₂³	semidirect
530. #13133177	C₂³	semidirect
531. #13133177	C₂³	semidirect
532. #13133177	C₂³	semidirect
533. #13133177	C₂³	semidirect
534. #13133177	C₂³	semidirect
535. #13133176	C₂³	semidirect
536. #13133176	C₂³	semidirect
541. #13133175	C₂³	semidirect
542. #13133175	C₂³	semidirect
543. #13133175	C₂³	semidirect
546. #13133174	C₂³	semidirect
547. #13133174	C₂³	semidirect
548. #13133174	C₂³	semidirect
549. #13133174	C₂³	semidirect
550. #13133174	C₂³	semidirect
552. #13133173	C₂³	semidirect
553. #13133173	C₂³	semidirect
554. #13133173	C₂³	semidirect
555. #13133173	C₂³	semidirect
556. #13133173	C₂³	semidirect
558. C₂×C₄⋊Dic₅₃	C₂³	semidirect
561. C₂×#11719919	C₂³	semidirect
562. C₂×#11719919	C₂³	semidirect
563. C₂×#11719919	C₂³	semidirect
564. C₂×#11719919	C₂³	semidirect
565. C₂×#11719919	C₂³	semidirect
568. C₄⋊C₄×D₅₃	C₂³	semidirect
569. C₄⋊C₄×D₅₃	C₂³	semidirect
570. C₄⋊C₄×D₅₃	C₂³	semidirect
571. C₄⋊C₄×D₅₃	C₂³	semidirect
572. C₄⋊C₄×D₅₃	C₂³	semidirect
576. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
577. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
586. C₂×#11719921	C₂³	semidirect
587. C₂×#11719921	C₂³	semidirect
588. C₂×#11719921	C₂³	semidirect
596. C₂²⋊C₄×D₅₃	C₂³	semidirect
597. C₂²⋊C₄×D₅₃	C₂³	semidirect
598. C₂²⋊C₄×D₅₃	C₂³	semidirect
599. C₂²⋊C₄×D₅₃	C₂³	semidirect
603. C₂×C₄×Dic₅₃	C₂³	semidirect
604. C₂×C₄×Dic₅₃	C₂³	semidirect
609. C₄²×D₅₃	C₂³	semidirect
610. C₄²×D₅₃	C₂³	semidirect
611. C₂×#41×C₅₃	C₂³	semidirect
616. C₂³×C₄×C₅₃	C₂³	semidirect
617. #126×C₅₃	C₂³	semidirect
618. #126×C₅₃	C₂³	semidirect
619. #126×C₅₃	C₂³	semidirect
620. #125×C₅₃	C₂³	semidirect
621. #125×C₅₃	C₂³	semidirect
622. #124×C₅₃	C₂³	semidirect
623. #124×C₅₃	C₂³	semidirect
626. #123×C₅₃	C₂³	semidirect
627. #123×C₅₃	C₂³	semidirect
628. #123×C₅₃	C₂³	semidirect
629. #123×C₅₃	C₂³	semidirect
632. C₂²⋊Q₈×C₅₃	C₂³	semidirect
633. C₂²⋊Q₈×C₅₃	C₂³	semidirect
634. C₂²⋊Q₈×C₅₃	C₂³	semidirect
635. C₂²⋊Q₈×C₅₃	C₂³	semidirect
640. #121×C₅₃	C₂³	semidirect
641. #121×C₅₃	C₂³	semidirect
644. #120×C₅₃	C₂³	semidirect
645. C₄×Q₈×C₅₃	C₂³	semidirect
650. C₄×D₄×C₅₃	C₂³	semidirect
651. C₄×D₄×C₅₃	C₂³	semidirect
652. C₄×D₄×C₅₃	C₂³	semidirect
653. C₄×D₄×C₅₃	C₂³	semidirect
654. #117×C₅₃	C₂³	semidirect
655. #117×C₅₃	C₂³	semidirect
657. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
661. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
663. C₂×C₄²×C₅₃	C₂³	semidirect
717. C₂×C₂²⋊D₅₃	#41	semidirect
944. C₂³×C₅₃	C₂×#41	semidirect
977. C₂²×D₅₃	C₂×#41	semidirect
1028. C₂²⋊D₅₃	C₂×#41	semidirect
1043. C₂×Dic₅₃	C₂×#41	semidirect
1088. C₄×D₅₃	H(5,𝔽₂)	semidirect
1174. #3459	D₅₃	semidirect
1265. #543	C₂×D₅₃	semidirect
1275. #539	C₂×D₅₃	semidirect
1276. #539	C₂×D₅₃	semidirect
1286. #538	C₂×D₅₃	semidirect
1287. #538	C₂×D₅₃	semidirect
1294. #534	C₂×D₅₃	semidirect
1295. #534	C₂×D₅₃	semidirect
1316. #529	C₂×D₅₃	semidirect
1317. #529	C₂×D₅₃	semidirect
1342. #525	C₂×D₅₃	semidirect
1343. #525	C₂×D₅₃	semidirect
1391. C₂×C₄×D₄	C₂×D₅₃	semidirect
1392. C₂×C₄×D₄	C₂×D₅₃	semidirect
1399. C₅₃	#62773	semidirect
1418. C₂×#41	C₂²×D₅₃	semidirect
1466. C₂³×C₄	C₂²×D₅₃	semidirect
1488. #126	C₂²×D₅₃	semidirect
1489. #126	C₂²×D₅₃	semidirect
1490. #126	C₂²×D₅₃	semidirect
1499. #125	C₂²×D₅₃	semidirect
1500. #125	C₂²×D₅₃	semidirect
1513. #124	C₂²×D₅₃	semidirect
1514. #124	C₂²×D₅₃	semidirect
1549. #123	C₂²×D₅₃	semidirect
1550. #123	C₂²×D₅₃	semidirect
1551. #123	C₂²×D₅₃	semidirect
1552. #123	C₂²×D₅₃	semidirect
1587. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1588. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1589. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1590. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1635. #121	C₂²×D₅₃	semidirect
1636. #121	C₂²×D₅₃	semidirect
1658. #120	C₂²×D₅₃	semidirect
1668. C₄×Q₈	C₂²×D₅₃	semidirect
1739. C₄×D₄	C₂²×D₅₃	semidirect
1740. C₄×D₄	C₂²×D₅₃	semidirect
1741. C₄×D₄	C₂²×D₅₃	semidirect
1742. C₄×D₄	C₂²×D₅₃	semidirect
1765. #117	C₂²×D₅₃	semidirect
1766. #117	C₂²×D₅₃	semidirect
1784. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1815. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1828. C₂×C₄²	C₂²×D₅₃	semidirect
2143. C₂³	#41×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288756	2
#20288739	2
#20288651	2
#20288645	2
#20288562	2
#20288552	2
#20288547	2
#20288515	2
#20288476	2
#20288420	2
#20288405	2
#20288403	2
#20288401	2
#20288347	2
#20288321	2
#20288317	2
#20288267	2
#20288198	2
#20288133	2
#20288125	2
#20288124	2
#20288009	2
C₂×#16811132	2
#525×D₅₃	2
C₄×#13133262	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3459	2
#62773	53