Subgroups — #28291401

Order 13568.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289033	C₂	1	2	yes	maximal, complemented
2	#20289019	C₂	1	2	yes	maximal, complemented
3	#20289010	C₂	1	2	yes	maximal, complemented
4	#20288996	C₂	1	2	yes	maximal, complemented
5	#20288992	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288981	C₂	1	1	yes	maximal, characteristic, complemented
7	#20288968	C₂	1	2	yes	maximal, complemented
8	#20288958	C₂	1	1	yes	maximal, characteristic, complemented
9	#20288948	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288933	C₂	1	2	yes	maximal, complemented
11	#20288914	C₂	1	4	yes	maximal, complemented
12	#20288895	C₂	1	4	yes	maximal, complemented
13	#20288888	C₂	1	2	yes	maximal, complemented
14	#20288876	C₂	1	2	yes	maximal, complemented
15	#20288869	C₂	1	2	yes	maximal, complemented
16	#20288867	C₂	1	2	yes	maximal, complemented
17	#20288853	C₂	1	2	yes	maximal, complemented
18	#20288851	C₂	1	2	yes	maximal, complemented
19	#20288323	C₂	1	2	yes	maximal, complemented
20	#20288317	C₂	1	2	yes	maximal, complemented
21	#20288275	C₂	1	2	yes	maximal, complemented
22	#20288269	C₂	1	2	yes	maximal, complemented
23	#41×C₂²⋊D₅₃	C₂	1	2	yes	maximal, complemented
24	#20288198	C₂	1	2	yes	maximal, complemented
25	#20288129	C₂	1	4	yes	maximal, complemented
26	#20288122	C₂	1	4	yes	maximal, complemented
27	#20288103	C₂	1	2	yes	maximal, complemented
28	#20288044	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811130	C₂	1	1	yes	maximal, characteristic, complemented
30	#525×D₅₃	C₂	1	2	yes	maximal, complemented
31	C₅₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
33	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
34	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
35	#16811376	C₂²	1	2	yes	complemented
36	#16811374	C₂²	1	4	yes	complemented
37	#16811373	C₂²	1	2	yes	complemented
38	#16811372	C₂²	1	4	yes	complemented
39	#16811370	C₂²	1	4	yes	complemented
40	#16811369	C₂²	1	4	yes	complemented
41	#16811368	C₂²	1	4	yes	complemented
42	#16811368	C₂²	1	4	yes	complemented
43	#16811368	C₂²	1	4	yes	complemented
44	#16811367	C₂²	1	4	yes	complemented
45	#16811366	C₂²	1	2	yes	complemented
46	#16811365	C₂²	1	2	yes	complemented
47	#16811363	C₂²	1	2	yes	complemented
48	#16811362	C₂²	1	2	yes	complemented
49	#16811362	C₂²	1	4	yes	complemented
50	#16811361	C₂²	1	4	yes	complemented
51	#16811361	C₂²	1	4	yes	complemented
52	#16811361	C₂²	1	4	yes	complemented
53	#16811360	C₂²	1	2	yes	complemented
54	#16811360	C₂²	1	2	yes	complemented
55	#16811359	C₂²	1	2	yes	complemented
56	#16811357	C₂²	1	2	yes	complemented
57	#16811344	C₂²	1	2	yes	complemented
58	#16811341	C₂²	1	2	yes	complemented
59	#16811337	C₂²	1	2	yes	complemented
60	#16811336	C₂²	1	2	yes	complemented
61	#16811334	C₂²	1	4	yes	complemented
62	#16811331	C₂²	1	2	yes	complemented
63	#16811328	C₂²	1	2	yes	complemented
64	#16811327	C₂²	1	4	yes	complemented
65	#16811325	C₂²	1	2	yes	complemented
66	#16811321	C₂²	1	2	yes	complemented
67	#16811320	C₂²	1	4	yes	complemented
68	#16811320	C₂²	1	2	yes	complemented
69	#16811320	C₂²	1	4	yes	complemented
70	#16811318	C₂²	1	4	yes	complemented
71	#16811317	C₂²	1	2	yes	complemented
72	#16811316	C₂²	1	4	yes	complemented
73	#16811315	C₂²	1	2	yes	complemented
74	#16811312	C₂²	1	2	yes	complemented
75	#16811310	C₂²	1	4	yes	complemented
76	#16811308	C₂²	1	2	yes	complemented
77	#16811307	C₂²	1	2	yes	complemented
78	#16811306	C₂²	1	4	yes	complemented
79	#16811304	C₂²	1	4	yes	complemented
80	#16811304	C₂²	1	2	yes	complemented
81	#16811303	C₂²	1	2	yes	complemented
82	#16811303	C₂²	1	2	yes	complemented
83	#16811303	C₂²	1	4	yes	complemented
84	#16811301	C₂²	1	2	yes	complemented
85	#16811300	C₂²	1	4	yes	complemented
86	#16811299	C₂²	1	4	yes	complemented
87	#16811297	C₂²	1	4	yes	complemented
88	#16811296	C₂²	1	4	yes	complemented
89	#16811292	C₂²	1	2	yes	complemented
90	#16811291	C₂²	1	2	yes	complemented
91	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
92	#16811286	C₂²	1	2	yes	complemented
93	#16811284	C₂²	1	2	yes	complemented
94	#16811283	C₂²	1	2	yes	complemented
95	#16811280	C₂²	1	2	yes	complemented
96	#16811279	C₂²	1	2	yes	complemented
97	#16811275	C₂²	1	2	yes	complemented
98	#16811274	C₂²	1	2	yes	complemented
99	#16811273	C₂²	1	2	yes	complemented
100	#16811272	C₂²	1	4	yes	complemented
101	#16811272	C₂²	1	2	yes	complemented
102	#16811271	C₂²	1	4	yes	complemented
103	#16811270	C₂²	1	4	yes	complemented
104	#16811270	C₂²	1	2	yes	complemented
105	#16811270	C₂²	1	4	yes	complemented
106	#16811267	C₂²	1	4	yes	complemented
107	#16811267	C₂²	1	2	yes	complemented
108	#16811265	C₂²	1	4	yes	complemented
109	#16811264	C₂²	1	2	yes	complemented
110	#16811263	C₂²	1	4	yes	complemented
111	#16811262	C₂²	1	4	yes	complemented
112	#16811261	C₂²	1	4	yes	complemented
113	#16811261	C₂²	1	2	yes	complemented
114	#16811260	C₂²	1	4	yes	complemented
115	#16811260	C₂²	1	4	yes	complemented
116	#16811260	C₂²	1	4	yes	complemented
117	#16811258	C₂²	1	2	yes	complemented
118	#16811257	C₂²	1	2	yes	complemented
119	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
120	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
121	#16811255	C₂²	1	2	yes	complemented
122	#16811255	C₂²	1	4	yes	complemented
123	#16811250	C₂²	1	4	yes	complemented
124	#16811248	C₂²	1	4	yes	complemented
125	#16811247	C₂²	1	4	yes	complemented
126	#16811246	C₂²	1	2	yes	complemented
127	#16811246	C₂²	1	2	yes	complemented
128	#16811240	C₂²	1	2	yes	complemented
129	#16811240	C₂²	1	2	yes	complemented
130	#16811240	C₂²	1	4	yes	complemented
131	#16811237	C₂²	1	4	yes	complemented
132	#16811237	C₂²	1	4	yes	complemented
133	#16811233	C₂²	1	2	yes	complemented
134	#16811233	C₂²	1	2	yes	complemented
135	#16811227	C₂²	1	4	yes	complemented
136	#16811226	C₂²	1	2	yes	complemented
137	#16811226	C₂²	1	2	yes	complemented
138	#16811226	C₂²	1	4	yes	complemented
139	#16811223	C₂²	1	4	yes	complemented
140	#16811223	C₂²	1	4	yes	complemented
141	#16811222	C₂²	1	4	yes	complemented
142	#16811219	C₂²	1	4	yes	complemented
143	#16811219	C₂²	1	4	yes	complemented
144	#16811218	C₂²	1	4	yes	complemented
145	#16811217	C₂²	1	4	yes	complemented
146	#16811217	C₂²	1	4	yes	complemented
147	#16811216	C₂²	1	4	yes	complemented
148	#16811216	C₂²	1	4	yes	complemented
149	#16811209	C₂²	1	4	yes	complemented
150	#16811209	C₂²	1	4	yes	complemented
151	#16811208	C₂²	1	4	yes	complemented
152	#16811208	C₂²	1	4	yes	complemented
153	#16811208	C₂²	1	4	yes	complemented
154	#16811208	C₂²	1	4	yes	complemented
155	#16811207	C₂²	1	4	yes	complemented
156	#16811207	C₂²	1	4	yes	complemented
157	#16811205	C₂²	1	4	yes	complemented
158	#16811205	C₂²	1	4	yes	complemented
159	#16811205	C₂²	1	4	yes	complemented
160	#16811205	C₂²	1	4	yes	complemented
161	#16811202	C₂²	1	4	yes	complemented
162	#16811201	C₂²	1	2	yes	complemented
163	#16811201	C₂²	1	2	yes	complemented
164	#16811197	C₂²	1	2	yes	complemented
165	#16811194	C₂²	1	1	yes	characteristic, complemented
166	#16811194	C₂²	1	1	yes	characteristic, complemented
167	#16811190	C₂²	1	2	yes	complemented
168	#16811189	C₂²	1	4	yes	complemented
169	#16811187	C₂²	1	1	yes	characteristic, complemented
170	#16811187	C₂²	1	1	yes	characteristic, complemented
171	#16811186	C₂²	1	4	yes	complemented
172	#16811183	C₂²	1	4	yes	complemented
173	#16811183	C₂²	1	4	yes	complemented
174	#16811182	C₂²	1	2	yes	complemented
175	#16811182	C₂²	1	2	yes	complemented
176	#16811181	C₂²	1	4	yes	complemented
177	#16811176	C₂²	1	2	yes	complemented
178	#16811170	C₂²	1	4	yes	complemented
179	#16811169	C₂²	1	2	yes	complemented
180	#16811169	C₂²	1	2	yes	complemented
181	#16811169	C₂²	1	2	yes	complemented
182	#16811169	C₂²	1	4	yes	complemented
183	#16811157	C₂²	1	4	yes	complemented
184	#16811155	C₂²	1	4	yes	complemented
185	#16811155	C₂²	1	4	yes	complemented
186	#16811155	C₂²	1	4	yes	complemented
187	#16811153	C₂²	1	4	yes	complemented
188	#16811153	C₂²	1	4	yes	complemented
189	#16811153	C₂²	1	4	yes	complemented
190	#16811153	C₂²	1	4	yes	complemented
191	#16811151	C₂²	1	4	yes	complemented
192	#16811151	C₂²	1	4	yes	complemented
193	#16811136	C₂²	1	2	yes	complemented
194	#16811136	C₂²	1	2	yes	complemented
195	#16811135	C₂²	1	2	yes	complemented
196	#16811134	C₂²	1	2	yes	complemented
197	#16811134	C₂²	1	2	yes	complemented
198	#16811134	C₂²	1	4	yes	complemented
199	#16811133	C₂²	1	2	yes	complemented
200	#16811133	C₂²	1	2	yes	complemented
201	#16811132	C₂²	1	4	yes	complemented
202	#16811132	C₂²	1	4	yes	complemented
203	#16811132	C₂²	1	4	yes	complemented
204	#16811132	C₂²	1	4	yes	complemented
205	#16811131	C₂²	1	4	yes	complemented
206	#16811130	C₂²	1	1	yes	characteristic
207	#16811130	C₂²	1	2	yes	complemented
208	#16811130	C₂²	1	2	yes	complemented
209	#16811130	C₂²	1	1	yes	characteristic, complemented
210	#16811130	C₂²	1	1	yes	characteristic, complemented
211	#16811130	C₂²	1	1	yes	characteristic, complemented
212	#16811130	C₂²	1	1	yes	characteristic, complemented
213	#16811130	C₂²	1	2	yes	complemented
214	#16811130	C₂²	1	2	yes	complemented
215	#16811130	C₂²	1	1	yes	characteristic, complemented
216	#16811130	C₂²	1	1	yes	characteristic, complemented
217	#16811130	C₂²	1	1	yes	characteristic, complemented
218	#16811130	C₂²	1	2	yes	complemented
219	#16811130	C₂²	1	2	yes	complemented
220	#16811130	C₂²	1	2	yes	complemented
221	#16811130	C₂²	1	4	yes	complemented
222	#16811129	C₂²	1	4	yes	complemented
223	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
224	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
225	#123×D₅₃	C₂²	1	4	yes	complemented
226	C₂×#13133193	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
228	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
229	C₂×#13133188	C₂²	1	2	yes	complemented
230	#121×D₅₃	C₂²	1	2	yes	complemented
231	#121×D₅₃	C₂²	1	2	yes	complemented
232	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
233	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
234	#120×D₅₃	C₂²	1	4	yes	complemented
235	#41×Dic₅₃	C₂²	1	2	yes	complemented
236	C₄×#11719945	C₂²	1	4	yes	complemented
237	#16811091	C₂²	1	2	yes	complemented
238	C₄×#11719947	C₂²	1	4	yes	complemented
239	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
240	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
241	C₂×C₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
242	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
243	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
244	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
245	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
246	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
247	#117×D₅₃	C₂²	1	2	yes	complemented
248	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
249	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
250	C₅₃×#537	C₂²	1	2	yes	complemented
251	C₅₃×#537	C₂²	1	2	yes	complemented
252	C₅₃×#536	C₂²	1	2	yes	complemented
253	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
254	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
255	C₅₃×#535	C₂²	1	2	yes	complemented
256	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
257	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
258	C₅₃×#534	C₂²	1	2	yes	complemented
259	C₅₃×#534	C₂²	1	2	yes	complemented
260	C₅₃×#532	C₂²	1	2	yes	complemented
261	C₅₃×#532	C₂²	1	2	yes	complemented
262	C₅₃×#525	C₂²	1	2	yes	complemented
263	C₅₃×#525	C₂²	1	2	yes	complemented
264	C₅₃×#525	C₂²	1	2	yes	complemented
265	C₅₃×#525	C₂²	1	2	yes	complemented
266	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
268	C₂×#11719949	C₂³	1	2	yes	—
269	C₂×#11719945	—	4	4	no	—
270	C₂×#11719945	C₂³	1	2	yes	—
271	C₂×#11719945	C₂³	1	2	yes	—
272	C₂×#11719945	C₂³	1	4	yes	—
273	C₂×#11719945	C₂³	1	4	yes	—
274	C₂×#11719945	C₂³	1	2	yes	complemented
275	C₂×#11719945	C₂³	1	2	yes	complemented
276	C₂×#11719947	C₂³	1	4	yes	—
277	C₂×#11719947	C₂³	1	2	yes	—
278	C₂×#11719947	C₂³	1	4	yes	—
279	#41×D₅₃	—	4	8	no	—
280	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
281	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
282	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
283	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
284	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
285	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
286	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
287	C₂×D₄×D₅₃	C₂³	1	4	yes	—
288	C₂×D₄×D₅₃	C₂³	1	4	yes	—
289	C₂×D₄×D₅₃	C₂³	1	4	yes	—
290	C₂×D₄×D₅₃	C₂³	1	2	yes	—
291	C₂×D₄×D₅₃	C₂³	1	4	yes	—
292	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
293	C₂²×C₄×D₅₃	—	4	4	no	—
294	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
295	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
296	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
297	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
298	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
299	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
300	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
301	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
302	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
303	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
304	#13133216	C₂³	1	4	yes	complemented
305	#13133216	C₂³	1	2	yes	complemented
306	#13133216	C₂³	1	2	yes	complemented
307	#13133215	C₂³	1	2	yes	complemented
308	#13133215	C₂³	1	4	yes	complemented
309	#13133215	C₂³	1	2	yes	complemented
310	#13133215	C₂³	1	2	yes	complemented
311	#13133213	C₂³	1	4	yes	—
312	#13133213	C₂³	1	4	yes	—
313	#13133213	C₂³	1	2	yes	—
314	#13133213	C₂³	1	2	yes	—
315	#13133213	C₂³	1	2	yes	complemented
316	#13133212	C₂³	1	4	yes	—
317	#13133212	C₂³	1	4	yes	—
318	#13133212	C₂³	1	4	yes	—
319	#13133212	C₂³	1	4	yes	complemented
320	#13133212	C₂³	1	4	yes	complemented
321	#13133212	C₂³	1	4	yes	complemented
322	#13133211	C₂³	1	4	yes	—
323	#13133211	C₂³	1	4	yes	complemented
324	#13133210	C₂³	1	4	yes	—
325	#13133210	C₂³	1	4	yes	—
326	#13133210	C₂³	1	4	yes	—
327	#13133210	C₂³	1	4	yes	—
328	#13133210	C₂³	1	4	yes	complemented
329	#13133210	C₂³	1	4	yes	complemented
330	#13133210	C₂³	1	4	yes	complemented
331	#13133210	C₂³	1	4	yes	complemented
332	#13133210	C₂³	1	4	yes	complemented
333	#13133210	C₂³	1	4	yes	complemented
334	#13133210	C₂³	1	4	yes	complemented
335	#13133210	C₂³	1	4	yes	complemented
336	#13133209	C₂³	1	4	yes	complemented
337	#13133208	C₂³	1	2	yes	complemented
338	#13133208	C₂³	1	2	yes	complemented
339	#13133208	C₂³	1	4	yes	complemented
340	#13133208	C₂³	1	4	yes	complemented
341	#13133208	C₂³	1	4	yes	complemented
342	#13133207	C₂³	1	4	yes	complemented
343	#13133207	C₂³	1	4	yes	complemented
344	#13133207	C₂³	1	4	yes	complemented
345	#13133207	C₂³	1	4	yes	complemented
346	#13133207	C₂³	1	4	yes	complemented
347	#13133207	C₂³	1	4	yes	complemented
348	#13133206	C₂³	1	4	yes	—
349	#13133206	C₂³	1	2	yes	complemented
350	#13133206	C₂³	1	2	yes	complemented
351	#13133206	C₂³	1	2	yes	complemented
352	#13133205	C₂³	1	4	yes	—
353	#13133204	C₂³	1	4	yes	—
354	#13133204	C₂³	1	2	yes	—
355	#13133204	C₂³	1	4	yes	—
356	#13133204	C₂³	1	2	yes	—
357	#13133204	C₂³	1	2	yes	complemented
358	#13133204	C₂³	1	4	yes	complemented
359	#13133204	C₂³	1	4	yes	complemented
360	#13133203	C₂³	1	4	yes	—
361	#13133203	C₂³	1	4	yes	—
362	#13133203	C₂³	1	4	yes	—
363	#13133203	C₂³	1	4	yes	—
364	#13133203	C₂³	1	4	yes	—
365	#13133203	C₂³	1	4	yes	—
366	#13133203	C₂³	1	4	yes	complemented
367	#13133203	C₂³	1	4	yes	complemented
368	#13133202	C₂³	1	4	yes	—
369	#13133202	C₂³	1	4	yes	—
370	#13133202	C₂³	1	4	yes	—
371	#13133202	C₂³	1	4	yes	—
372	#13133202	C₂³	1	4	yes	—
373	#13133202	C₂³	1	4	yes	complemented
374	#13133201	C₂³	1	4	yes	—
375	#13133201	C₂³	1	4	yes	—
376	#13133201	C₂³	1	4	yes	—
377	#13133201	C₂³	1	4	yes	complemented
378	#13133201	C₂³	1	4	yes	complemented
379	#13133200	C₂³	1	4	yes	—
380	#13133200	C₂³	1	4	yes	—
381	#13133200	C₂³	1	4	yes	—
382	#13133200	C₂³	1	4	yes	—
383	#13133200	C₂³	1	4	yes	complemented
384	#13133200	C₂³	1	4	yes	complemented
385	#13133199	C₂³	1	4	yes	—
386	#13133199	C₂³	1	4	yes	—
387	#13133199	C₂³	1	4	yes	—
388	#13133199	C₂³	1	4	yes	—
389	#13133199	C₂³	1	4	yes	—
390	#13133199	C₂³	1	4	yes	—
391	#13133199	C₂³	1	4	yes	—
392	#13133199	C₂³	1	4	yes	complemented
393	#13133199	C₂³	1	4	yes	complemented
394	#13133199	C₂³	1	4	yes	complemented
395	#13133199	C₂³	1	4	yes	complemented
396	#13133199	C₂³	1	4	yes	complemented
397	#13133198	C₂³	1	4	yes	—
398	#13133198	C₂³	1	1	yes	characteristic
399	#13133198	C₂³	1	2	yes	—
400	#13133198	C₂³	1	1	yes	characteristic
401	#13133198	C₂³	1	4	yes	—
402	#13133198	C₂³	1	1	yes	characteristic
403	#13133198	C₂³	1	1	yes	characteristic
404	#13133198	C₂³	1	1	yes	characteristic
405	#13133198	C₂³	1	1	yes	characteristic
406	#13133198	C₂³	1	1	yes	characteristic
407	#13133198	C₂³	1	1	yes	characteristic
408	#13133198	C₂³	1	2	yes	—
409	#13133198	C₂³	1	2	yes	—
410	#13133198	C₂³	1	2	yes	—
411	#13133198	C₂³	1	2	yes	—
412	#13133198	C₂³	1	2	yes	—
413	#13133198	C₂³	1	4	yes	—
414	#13133198	C₂³	1	4	yes	complemented
415	#13133198	C₂³	1	4	yes	complemented
416	#13133198	C₂³	1	4	yes	complemented
417	#13133198	C₂³	1	4	yes	complemented
418	#13133198	C₂³	1	2	yes	complemented
419	#13133198	C₂³	1	2	yes	complemented
420	#13133197	C₂³	1	2	yes	—
421	#13133197	C₂³	1	4	yes	—
422	#13133197	C₂³	1	2	yes	—
423	#13133197	C₂³	1	4	yes	complemented
424	#13133197	C₂³	1	4	yes	complemented
425	#13133196	C₂³	1	2	yes	—
426	#13133196	C₂³	1	2	yes	—
427	#13133196	C₂³	1	2	yes	complemented
428	#13133196	C₂³	1	4	yes	complemented
429	#13133196	C₂³	1	2	yes	complemented
430	#13133196	C₂³	1	4	yes	complemented
431	#13133196	C₂³	1	4	yes	complemented
432	#13133195	C₂³	1	4	yes	—
433	#13133195	C₂³	1	4	yes	—
434	#13133195	C₂³	1	4	yes	—
435	#13133195	C₂³	1	4	yes	—
436	#13133195	C₂³	1	4	yes	complemented
437	#13133195	C₂³	1	4	yes	complemented
438	#13133194	C₂³	1	4	yes	—
439	#13133194	C₂³	1	4	yes	—
440	#13133194	C₂³	1	4	yes	—
441	#13133194	C₂³	1	4	yes	—
442	#13133194	C₂³	1	4	yes	complemented
443	#13133194	C₂³	1	4	yes	complemented
444	#13133194	C₂³	1	4	yes	complemented
445	#13133194	C₂³	1	4	yes	complemented
446	#13133194	C₂³	1	4	yes	complemented
447	#13133194	C₂³	1	4	yes	complemented
448	#13133193	C₂³	1	2	yes	—
449	#13133193	C₂³	1	4	yes	—
450	#13133193	C₂³	1	2	yes	—
451	#13133193	C₂³	1	2	yes	—
452	#13133193	C₂³	1	2	yes	—
453	#13133193	C₂³	1	2	yes	—
454	#13133193	C₂³	1	2	yes	—
455	#13133193	C₂³	1	2	yes	—
456	#13133193	C₂³	1	2	yes	—
457	#13133193	C₂³	1	2	yes	—
458	#13133193	C₂³	1	2	yes	—
459	#13133193	C₂³	1	4	yes	complemented
460	#13133193	C₂³	1	4	yes	complemented
461	#13133193	C₂³	1	4	yes	complemented
462	#13133192	C₂³	1	4	yes	—
463	#13133192	C₂³	1	2	yes	—
464	#13133192	C₂³	1	2	yes	—
465	#13133191	C₂³	1	4	yes	—
466	#13133191	C₂³	1	4	yes	—
467	#13133191	C₂³	1	4	yes	—
468	#13133191	C₂³	1	2	yes	—
469	#13133191	C₂³	1	2	yes	—
470	#13133191	C₂³	1	2	yes	complemented
471	#13133191	C₂³	1	2	yes	complemented
472	#13133190	C₂³	1	4	yes	—
473	#13133190	C₂³	1	4	yes	—
474	#13133190	C₂³	1	4	yes	—
475	#13133190	C₂³	1	4	yes	—
476	#13133190	C₂³	1	4	yes	—
477	#13133190	C₂³	1	4	yes	—
478	#13133190	C₂³	1	4	yes	—
479	#13133190	C₂³	1	4	yes	complemented
480	#13133189	C₂³	1	4	yes	—
481	#13133189	C₂³	1	4	yes	—
482	#13133189	C₂³	1	4	yes	—
483	#13133189	C₂³	1	4	yes	—
484	#13133189	C₂³	1	4	yes	—
485	#13133189	C₂³	1	4	yes	—
486	#13133189	C₂³	1	4	yes	—
487	#13133189	C₂³	1	4	yes	—
488	#13133189	C₂³	1	4	yes	—
489	#13133189	C₂³	1	4	yes	—
490	#13133189	C₂³	1	4	yes	—
491	#13133189	C₂³	1	4	yes	—
492	#13133189	C₂³	1	4	yes	—
493	#13133189	C₂³	1	4	yes	complemented
494	#13133189	C₂³	1	4	yes	complemented
495	#13133189	C₂³	1	4	yes	complemented
496	#13133189	C₂³	1	4	yes	complemented
497	#13133189	C₂³	1	4	yes	complemented
498	#13133188	C₂³	1	2	yes	—
499	#13133188	C₂³	1	2	yes	—
500	#13133188	C₂³	1	4	yes	—
501	#13133188	C₂³	1	4	yes	—
502	#13133188	C₂³	1	2	yes	—
503	#13133188	C₂³	1	2	yes	—
504	#13133188	C₂³	1	4	yes	—
505	#13133188	C₂³	1	4	yes	—
506	#13133188	C₂³	1	2	yes	—
507	#13133188	C₂³	1	2	yes	—
508	#13133188	C₂³	1	2	yes	—
509	#13133188	C₂³	1	2	yes	—
510	#13133188	C₂³	1	2	yes	—
511	#13133188	C₂³	1	2	yes	—
512	#13133188	C₂³	1	4	yes	—
513	#13133188	C₂³	1	4	yes	—
514	#13133188	C₂³	1	4	yes	complemented
515	#13133188	C₂³	1	4	yes	complemented
516	#13133187	C₂³	1	4	yes	—
517	#13133187	C₂³	1	4	yes	—
518	#13133187	C₂³	1	4	yes	—
519	#13133187	C₂³	1	4	yes	—
520	#13133187	C₂³	1	4	yes	—
521	#13133186	C₂³	1	4	yes	—
522	#13133186	C₂³	1	4	yes	—
523	#13133186	C₂³	1	4	yes	—
524	#13133186	C₂³	1	4	yes	complemented
525	#13133185	C₂³	1	1	yes	characteristic
526	#13133185	C₂³	1	4	yes	—
527	#13133185	C₂³	1	4	yes	—
528	#13133185	C₂³	1	4	yes	—
529	#13133185	C₂³	1	1	yes	characteristic
530	#13133185	C₂³	1	1	yes	characteristic
531	#13133185	C₂³	1	2	yes	—
532	#13133185	C₂³	1	4	yes	—
533	#13133185	C₂³	1	1	yes	characteristic
534	#13133185	C₂³	1	4	yes	—
535	#13133185	C₂³	1	1	yes	characteristic
536	#13133185	C₂³	1	1	yes	characteristic
537	#13133185	C₂³	1	4	yes	—
538	#13133185	C₂³	1	1	yes	characteristic
539	#13133185	C₂³	1	2	yes	—
540	#13133185	C₂³	1	2	yes	—
541	#13133185	C₂³	1	2	yes	—
542	#13133185	C₂³	1	2	yes	—
543	#13133185	C₂³	1	1	yes	characteristic
544	#13133185	C₂³	1	2	yes	—
545	#13133185	C₂³	1	2	yes	complemented
546	#13133185	C₂³	1	4	yes	complemented
547	#13133185	C₂³	1	2	yes	complemented
548	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
549	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
550	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
551	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
552	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
553	#13133182	C₂³	1	2	yes	complemented
554	#13133182	C₂³	1	2	yes	complemented
555	#13133182	C₂³	1	4	yes	complemented
556	C₄×D₂₁₂	C₂³	1	4	yes	—
557	C₄×D₂₁₂	C₂³	1	4	yes	—
558	C₄×D₂₁₂	C₂³	1	4	yes	—
559	D₄×Dic₅₃	C₂³	1	4	yes	—
560	D₄×Dic₅₃	C₂³	1	4	yes	—
561	D₄×Dic₅₃	C₂³	1	4	yes	—
562	D₄×Dic₅₃	C₂³	1	4	yes	—
563	D₄×Dic₅₃	C₂³	1	2	yes	complemented
564	D₄×Dic₅₃	C₂³	1	2	yes	complemented
565	D₄×Dic₅₃	C₂³	1	4	yes	complemented
566	D₄×Dic₅₃	C₂³	1	4	yes	complemented
567	#13133179	C₂³	1	4	yes	—
568	#13133179	C₂³	1	4	yes	—
569	#13133179	C₂³	1	4	yes	—
570	#13133179	C₂³	1	2	yes	complemented
571	#13133179	C₂³	1	2	yes	complemented
572	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
573	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
574	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
575	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
576	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
577	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
578	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
579	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
580	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
581	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
582	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
583	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
584	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
585	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
586	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
587	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
588	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
589	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
590	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
591	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
592	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
593	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
594	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
595	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
596	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
597	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
598	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
599	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
601	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
602	#13133177	C₂³	1	4	yes	—
603	#13133177	C₂³	1	4	yes	—
604	#13133177	C₂³	1	4	yes	—
605	#13133177	C₂³	1	4	yes	—
606	#13133177	C₂³	1	4	yes	—
607	#13133177	C₂³	1	4	yes	—
608	#13133177	C₂³	1	4	yes	—
609	#13133177	C₂³	1	4	yes	—
610	#13133177	C₂³	1	4	yes	—
611	#13133177	C₂³	1	4	yes	complemented
612	#13133176	C₂³	1	2	yes	—
613	#13133176	C₂³	1	2	yes	—
614	#13133176	C₂³	1	1	yes	characteristic
615	#13133176	C₂³	1	1	yes	characteristic
616	#13133176	C₂³	1	2	yes	—
617	#13133176	C₂³	1	1	yes	characteristic
618	#13133176	C₂³	1	2	yes	—
619	#13133176	C₂³	1	1	yes	characteristic
620	#13133176	C₂³	1	4	yes	complemented
621	#13133176	C₂³	1	1	yes	characteristic, complemented
622	#13133176	C₂³	1	1	yes	characteristic, complemented
623	#13133176	C₂³	1	2	yes	complemented
624	#13133176	C₂³	1	4	yes	complemented
625	#13133175	C₂³	1	4	yes	—
626	#13133175	C₂³	1	2	yes	—
627	#13133175	C₂³	1	2	yes	—
628	#13133174	C₂³	1	4	yes	—
629	#13133174	C₂³	1	4	yes	—
630	#13133174	C₂³	1	4	yes	complemented
631	#13133174	C₂³	1	4	yes	complemented
632	#13133173	C₂³	1	4	yes	—
633	#13133173	C₂³	1	4	yes	complemented
634	#13133173	C₂³	1	4	yes	complemented
635	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
636	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
637	C₂×#11719919	C₂³	1	2	yes	—
638	C₂×#11719919	C₂³	1	2	yes	—
639	C₂×#11719919	C₂³	1	4	yes	complemented
640	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
641	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
642	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
643	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
644	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
645	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
646	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
647	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
648	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
649	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
650	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
651	C₂×#11719921	C₂³	1	2	yes	—
652	C₂×#11719921	C₂³	1	2	yes	—
653	C₂×#11719921	C₂³	1	4	yes	—
654	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
656	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
657	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
658	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
660	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
661	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
662	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
663	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
664	C₄²×D₅₃	C₂³	1	4	yes	—
665	C₄²×D₅₃	C₂³	1	4	yes	complemented
666	C₂×#41×C₅₃	—	4	4	no	—
667	C₂×#41×C₅₃	—	4	4	no	—
668	C₂×#41×C₅₃	C₂³	1	2	yes	—
669	C₂×#41×C₅₃	C₂³	1	2	yes	—
670	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
671	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
672	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
673	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
674	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
675	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
676	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
677	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
678	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
679	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
680	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
681	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
682	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
683	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
684	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
685	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
686	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
687	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
688	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
689	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
690	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
691	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
692	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
693	#127×C₅₃	C₂³	1	2	yes	—
694	#127×C₅₃	C₂³	1	2	yes	—
695	#124×C₅₃	C₂³	1	2	yes	—
696	#124×C₅₃	C₂³	1	2	yes	—
697	#124×C₅₃	C₂³	1	2	yes	complemented
698	#124×C₅₃	C₂³	1	2	yes	complemented
699	#123×C₅₃	C₂³	1	4	yes	—
700	#123×C₅₃	C₂³	1	2	yes	—
701	#123×C₅₃	C₂³	1	4	yes	—
702	#123×C₅₃	C₂³	1	2	yes	—
703	#123×C₅₃	C₂³	1	2	yes	complemented
704	#123×C₅₃	C₂³	1	2	yes	complemented
705	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
706	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
707	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
708	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
709	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
710	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
711	#121×C₅₃	C₂³	1	4	yes	—
712	#121×C₅₃	C₂³	1	4	yes	—
713	#121×C₅₃	C₂³	1	2	yes	—
714	#121×C₅₃	C₂³	1	2	yes	—
715	#121×C₅₃	C₂³	1	4	yes	—
716	#121×C₅₃	C₂³	1	4	yes	—
717	#121×C₅₃	C₂³	1	2	yes	complemented
718	#121×C₅₃	C₂³	1	4	yes	complemented
719	#121×C₅₃	C₂³	1	2	yes	complemented
720	#121×C₅₃	C₂³	1	4	yes	complemented
721	#120×C₅₃	C₂³	1	2	yes	—
722	#120×C₅₃	C₂³	1	4	yes	—
723	#120×C₅₃	C₂³	1	4	yes	—
724	#120×C₅₃	C₂³	1	2	yes	—
725	#120×C₅₃	C₂³	1	2	yes	complemented
726	#120×C₅₃	C₂³	1	2	yes	complemented
727	C₄×D₄×C₅₃	C₂³	1	4	yes	—
728	C₄×D₄×C₅₃	C₂³	1	4	yes	—
729	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
730	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
731	#117×C₅₃	C₂³	1	2	yes	—
732	#117×C₅₃	C₂³	1	2	yes	—
733	#117×C₅₃	C₂³	1	2	yes	complemented
734	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
735	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
736	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
737	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
738	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
739	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
740	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
741	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
742	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
743	C₂³×D₅₃	—	4	4	no	—
744	C₂³×D₅₃	—	4	2	no	—
745	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
746	C₂³×D₅₃	C₂⁴	1	2	yes	—
747	C₂³×D₅₃	C₂⁴	1	4	yes	—
748	C₂³×D₅₃	C₂⁴	1	2	yes	—
749	C₂³×D₅₃	C₂⁴	1	2	yes	—
750	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
751	#41×C₅₃	—	2	8	no	—
752	#41×C₅₃	—	4	2	no	—
753	#41×C₅₃	—	4	2	no	—
754	#41×C₅₃	—	4	2	no	—
755	#41×C₅₃	—	4	2	no	—
756	#41×C₅₃	—	4	2	no	—
757	#41×C₅₃	—	4	2	no	—
758	#41×C₅₃	—	4	2	no	—
759	#41×C₅₃	—	4	2	no	—
760	#41×C₅₃	—	4	4	no	—
761	#41×C₅₃	—	4	4	no	—
762	#41×C₅₃	—	4	4	no	—
763	C₂×Q₈×C₅₃	—	4	2	no	—
764	C₂×Q₈×C₅₃	—	4	2	no	—
765	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
766	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
767	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
768	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
769	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
770	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
771	C₂×D₄×C₅₃	—	4	2	no	—
772	C₂×D₄×C₅₃	—	4	2	no	—
773	C₂×D₄×C₅₃	—	4	2	no	—
774	C₂×D₄×C₅₃	—	4	2	no	—
775	C₂×D₄×C₅₃	—	4	4	no	—
776	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
781	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
782	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
783	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
784	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
785	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
786	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
787	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
788	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
789	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
790	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
791	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
792	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
793	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
794	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
795	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
796	C₂²×C₄×C₅₃	—	2	4	no	—
797	C₂²×C₄×C₅₃	—	2	4	no	—
798	C₂²×C₄×C₅₃	—	2	4	no	—
799	C₂²×C₄×C₅₃	—	4	4	no	—
800	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
801	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
802	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
803	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
804	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
805	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
806	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
807	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
808	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
809	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
810	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
811	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
812	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
813	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
814	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
815	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
816	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
817	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
818	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
819	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
820	C₂×C₂²⋊D₅₃	—	4	4	no	—
821	C₂×C₂²⋊D₅₃	—	4	4	no	—
822	C₂×C₂²⋊D₅₃	—	4	8	no	—
823	C₂×C₂²⋊D₅₃	—	4	4	no	—
824	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
825	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
827	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
835	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
836	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
837	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
838	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
844	C₂²×Dic₅₃	—	4	2	no	—
845	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
846	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
847	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
848	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
849	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
850	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
851	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
852	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
853	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
854	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
855	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
856	#11719949	—	4	4	no	—
857	Q₈×D₅₃	—	4	4	no	—
858	#11719947	—	4	4	no	—
859	#11719947	—	4	8	no	—
860	#11719947	—	4	8	no	—
861	D₄×D₅₃	—	4	4	no	—
862	D₄×D₅₃	—	4	8	no	—
863	D₄×D₅₃	—	4	8	no	—
864	D₄×D₅₃	—	4	8	no	—
865	D₄×D₅₃	—	4	8	no	—
866	#11719945	—	2	8	no	—
867	#11719945	—	4	4	no	—
868	#11719945	—	4	8	no	—
869	#11719945	—	4	4	no	—
870	#11719945	—	4	8	no	—
871	#11719945	—	4	4	no	—
872	C₂×D₂₁₂	—	4	2	no	—
873	C₂×D₂₁₂	C₂⁴	1	4	yes	—
874	C₂×D₂₁₂	C₂⁴	1	2	yes	—
875	C₂×D₂₁₂	C₂⁴	1	4	yes	—
876	C₂×D₂₁₂	C₂⁴	1	4	yes	—
877	C₂×D₂₁₂	C₂⁴	1	2	yes	—
878	C₂×C₄×D₅₃	—	2	8	no	—
879	C₂×C₄×D₅₃	—	4	2	no	—
880	C₂×C₄×D₅₃	—	4	4	no	—
881	C₂×C₄×D₅₃	—	4	2	no	—
882	C₂×C₄×D₅₃	—	4	2	no	—
883	C₂×C₄×D₅₃	—	4	4	no	—
884	C₂×C₄×D₅₃	—	4	2	no	—
885	C₂×C₄×D₅₃	—	4	8	no	—
886	C₂×C₄×D₅₃	—	4	4	no	—
887	C₂×C₄×D₅₃	—	4	4	no	—
888	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
889	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
890	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
891	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
892	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
893	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
894	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
895	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
896	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
897	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
898	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
899	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
900	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
901	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
902	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
903	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
904	C₂×Dic₁₀₆	—	4	2	no	—
905	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
906	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
907	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
908	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
909	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
910	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
911	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
912	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
913	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
914	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
915	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
916	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
917	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
918	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
919	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
920	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
921	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
922	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
923	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
924	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
925	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
926	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
927	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
928	C₄²×C₅₃	C₂⁴	1	4	yes	—
929	C₄²×C₅₃	C₂⁴	1	2	yes	—
930	C₄²×C₅₃	C₂⁴	1	2	yes	—
931	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
932	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
933	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
934	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
935	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
936	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
937	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
938	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
939	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
940	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
941	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
942	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
943	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
944	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
945	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
946	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
947	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
948	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
949	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
950	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
951	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
952	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
953	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
954	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
955	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
956	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
957	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
958	#11719921	C₂⁴	1	2	yes	—
959	#11719921	C₂⁴	1	4	yes	—
960	#11719921	C₂⁴	1	4	yes	—
961	#11719921	C₂⁴	1	4	yes	—
962	#11719921	C₂⁴	1	4	yes	—
963	#11719921	C₂⁴	1	4	yes	—
964	#11719921	C₂⁴	1	4	yes	—
965	#11719921	C₂⁴	1	4	yes	—
966	#11719921	C₂⁴	1	4	yes	—
967	#11719921	C₂⁴	1	4	yes	—
968	#11719921	C₂⁴	1	4	yes	—
969	#11719921	C₂⁴	1	4	yes	—
970	#11719921	C₂⁴	1	2	yes	—
971	#11719921	C₂⁴	1	2	yes	—
972	#11719921	C₂⁴	1	2	yes	—
973	#11719921	C₂⁴	1	2	yes	—
974	#11719921	C₂⁴	1	2	yes	—
975	#11719921	C₂⁴	1	2	yes	—
976	#11719921	C₂⁴	1	2	yes	—
977	#11719921	C₂⁴	1	4	yes	—
978	#11719921	C₂⁴	1	4	yes	—
979	#11719921	C₂⁴	1	4	yes	—
980	#11719921	C₂⁴	1	4	yes	—
981	#11719921	C₂⁴	1	4	yes	—
982	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
983	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
984	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
985	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
986	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
987	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
988	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
989	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
990	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
991	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
992	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
993	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
994	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
995	#11719919	C₂⁴	1	4	yes	—
996	#11719919	C₂⁴	1	4	yes	—
997	#11719919	C₂⁴	1	4	yes	—
998	#11719919	C₂⁴	1	4	yes	—
999	#11719919	C₂⁴	1	4	yes	—
1000	#11719919	C₂⁴	1	4	yes	—
1001	#11719919	C₂⁴	1	2	yes	—
1002	#11719919	C₂⁴	1	4	yes	—
1003	#11719919	C₂⁴	1	2	yes	—
1004	#11719919	C₂⁴	1	2	yes	—
1005	#11719919	C₂⁴	1	2	yes	—
1006	#11719919	C₂⁴	1	2	yes	—
1007	#11719919	C₂⁴	1	2	yes	—
1008	#11719919	C₂⁴	1	2	yes	—
1009	#11719919	C₂⁴	1	2	yes	—
1010	#11719919	C₂⁴	1	4	yes	—
1011	#11719919	C₂⁴	1	4	yes	—
1012	#11719919	C₂⁴	1	4	yes	—
1013	#11719919	C₂⁴	1	4	yes	—
1014	#11719919	C₂⁴	1	4	yes	—
1015	#11719919	C₂⁴	1	4	yes	—
1016	#11719919	C₂⁴	1	4	yes	—
1017	#11719919	C₂⁴	1	4	yes	—
1018	#11719919	C₂⁴	1	4	yes	—
1019	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1020	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1021	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1022	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1023	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1024	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1025	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1026	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1027	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1028	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1029	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1030	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1031	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1032	C₂³×C₅₃	—	2	2	no	—
1033	C₂³×C₅₃	—	2	2	no	—
1034	C₂³×C₅₃	—	2	2	no	—
1035	C₂³×C₅₃	—	4	2	no	—
1036	C₂³×C₅₃	—	4	2	no	—
1037	C₂³×C₅₃	—	4	2	no	—
1038	C₂³×C₅₃	—	4	4	no	—
1039	C₂³×C₅₃	—	4	2	no	—
1040	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1041	C₂³×C₅₃	C₂⁵	1	4	yes	—
1042	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1043	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1044	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1045	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1046	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1047	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1048	C₂²×D₅₃	—	2	4	no	—
1049	C₂²×D₅₃	—	2	4	no	—
1050	C₂²×D₅₃	—	2	4	no	—
1051	C₂²×D₅₃	—	2	4	no	—
1052	C₂²×D₅₃	—	2	8	no	—
1053	C₂²×D₅₃	—	4	1	no	—
1054	C₂²×D₅₃	—	4	2	no	—
1055	C₂²×D₅₃	—	4	1	no	—
1056	C₂²×D₅₃	—	4	2	no	—
1057	C₂²×D₅₃	—	4	2	no	—
1058	C₂²×D₅₃	—	4	2	no	—
1059	C₂²×D₅₃	—	4	2	no	—
1060	C₂²×D₅₃	—	4	4	no	—
1061	C₂²×D₅₃	—	4	4	no	—
1062	C₂²×D₅₃	—	4	4	no	—
1063	C₂²×D₅₃	—	4	16	no	—
1064	C₂²×D₅₃	C₂⁵	1	4	yes	—
1065	C₂²×D₅₃	C₂⁵	1	2	yes	—
1066	C₂²×D₅₃	C₂⁵	1	2	yes	—
1067	Q₈×C₅₃	—	2	4	no	—
1068	Q₈×C₅₃	—	4	1	no	—
1069	Q₈×C₅₃	—	4	1	no	—
1070	Q₈×C₅₃	—	4	2	no	—
1071	Q₈×C₅₃	—	4	1	no	—
1072	Q₈×C₅₃	—	4	1	no	—
1073	D₄×C₅₃	—	2	8	no	—
1074	D₄×C₅₃	—	2	4	no	—
1075	D₄×C₅₃	—	4	4	no	—
1076	D₄×C₅₃	—	4	4	no	—
1077	D₄×C₅₃	—	4	4	no	—
1078	D₄×C₅₃	—	4	4	no	—
1079	D₄×C₅₃	—	4	1	no	—
1080	D₄×C₅₃	—	4	1	no	—
1081	D₄×C₅₃	—	4	4	no	—
1082	D₄×C₅₃	—	4	1	no	—
1083	D₄×C₅₃	—	4	1	no	—
1084	D₄×C₅₃	—	4	1	no	—
1085	D₄×C₅₃	—	4	1	no	—
1086	D₄×C₅₃	—	4	1	no	—
1087	D₄×C₅₃	—	4	1	no	—
1088	D₄×C₅₃	—	4	1	no	—
1089	D₄×C₅₃	—	4	1	no	—
1090	D₄×C₅₃	—	4	1	no	—
1091	D₄×C₅₃	—	4	1	no	—
1092	D₄×C₅₃	—	4	2	no	—
1093	C₂×C₄×C₅₃	—	2	2	no	—
1094	C₂×C₄×C₅₃	—	2	2	no	—
1095	C₂×C₄×C₅₃	—	2	2	no	—
1096	C₂×C₄×C₅₃	—	2	2	no	—
1097	C₂×C₄×C₅₃	—	2	2	no	—
1098	C₂×C₄×C₅₃	—	2	2	no	—
1099	C₂×C₄×C₅₃	—	2	2	no	—
1100	C₂×C₄×C₅₃	—	2	2	no	—
1101	C₂×C₄×C₅₃	—	2	2	no	—
1102	C₂×C₄×C₅₃	—	2	8	no	—
1103	C₂×C₄×C₅₃	—	2	2	no	—
1104	C₂×C₄×C₅₃	—	2	2	no	—
1105	C₂×C₄×C₅₃	—	2	2	no	—
1106	C₂×C₄×C₅₃	—	2	2	no	—
1107	C₂×C₄×C₅₃	—	2	2	no	—
1108	C₂×C₄×C₅₃	—	2	2	no	—
1109	C₂×C₄×C₅₃	—	4	4	no	—
1110	C₂×C₄×C₅₃	—	4	2	no	—
1111	C₂×C₄×C₅₃	—	4	4	no	—
1112	C₂×C₄×C₅₃	H(5,𝔽₂)	1	4	yes	—
1113	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1114	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1115	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1116	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1117	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1118	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1119	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1120	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1121	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1122	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1123	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1124	C₂²⋊D₅₃	—	2	8	no	—
1125	C₂²⋊D₅₃	—	2	4	no	—
1126	C₂²⋊D₅₃	—	2	4	no	—
1127	C₂²⋊D₅₃	—	2	8	no	—
1128	C₂²⋊D₅₃	—	2	4	no	—
1129	C₂²⋊D₅₃	—	2	4	no	—
1130	C₂²⋊D₅₃	—	4	4	no	—
1131	C₂²⋊D₅₃	—	4	4	no	—
1132	C₂²⋊D₅₃	—	4	4	no	—
1133	C₂²⋊D₅₃	—	4	4	no	—
1134	C₂²⋊D₅₃	—	4	4	no	—
1135	C₂²⋊D₅₃	—	4	4	no	—
1136	C₂²⋊D₅₃	—	4	4	no	—
1137	C₂²⋊D₅₃	—	4	4	no	—
1138	C₂²⋊D₅₃	—	4	2	no	—
1139	C₂²⋊D₅₃	—	4	2	no	—
1140	C₂²⋊D₅₃	—	4	4	no	—
1141	C₂²⋊D₅₃	—	4	2	no	—
1142	C₂²⋊D₅₃	—	4	4	no	—
1143	C₂²⋊D₅₃	—	4	2	no	—
1144	C₂×Dic₅₃	—	2	4	no	—
1145	C₂×Dic₅₃	—	4	2	no	—
1146	C₂×Dic₅₃	—	4	1	no	—
1147	C₂×Dic₅₃	—	4	2	no	—
1148	C₂×Dic₅₃	—	4	1	no	—
1149	C₂×Dic₅₃	—	4	4	no	—
1150	C₂×Dic₅₃	—	4	4	no	—
1151	C₂×Dic₅₃	—	4	4	no	—
1152	C₂×Dic₅₃	—	4	2	no	—
1153	C₂×Dic₅₃	—	4	2	no	—
1154	C₂×Dic₅₃	—	4	4	no	—
1155	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1156	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1157	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1158	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1159	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1160	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1161	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1162	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1163	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1164	D₂₁₂	—	2	8	no	—
1165	D₂₁₂	—	2	4	no	—
1166	D₂₁₂	—	4	2	no	—
1167	D₂₁₂	—	4	4	no	—
1168	D₂₁₂	—	4	4	no	—
1169	C₄×D₅₃	—	2	8	no	—
1170	C₄×D₅₃	—	2	4	no	—
1171	C₄×D₅₃	—	2	4	no	—
1172	C₄×D₅₃	—	2	4	no	—
1173	C₄×D₅₃	—	2	4	no	—
1174	C₄×D₅₃	—	2	8	no	—
1175	C₄×D₅₃	—	4	2	no	—
1176	C₄×D₅₃	—	4	2	no	—
1177	C₄×D₅₃	—	4	2	no	—
1178	C₄×D₅₃	—	4	2	no	—
1179	C₄×D₅₃	—	4	4	no	—
1180	C₄×D₅₃	—	4	4	no	—
1181	C₄×D₅₃	—	4	4	no	—
1182	C₄×D₅₃	—	4	4	no	—
1183	C₄×D₅₃	—	4	4	no	—
1184	C₄×D₅₃	—	4	4	no	—
1185	Dic₁₀₆	—	2	4	no	—
1186	Dic₁₀₆	—	4	2	no	—
1187	Dic₁₀₆	—	4	4	no	—
1188	Dic₁₀₆	—	4	4	no	—
1189	Dic₁₀₆	—	4	4	no	—
1190	#62729	—	53	1	no	maximal, Sylow
1191	C₂²×C₅₃	—	2	2	no	—
1192	C₂²×C₅₃	—	2	1	no	—
1193	C₂²×C₅₃	—	2	1	no	—
1194	C₂²×C₅₃	—	2	1	no	—
1195	C₂²×C₅₃	—	2	4	no	—
1196	C₂²×C₅₃	—	2	1	no	—
1197	C₂²×C₅₃	—	2	1	no	—
1198	C₂²×C₅₃	—	2	1	no	—
1199	C₂²×C₅₃	—	2	2	no	—
1200	C₂²×C₅₃	—	2	4	no	—
1201	C₂²×C₅₃	—	2	4	no	—
1202	C₂²×C₅₃	—	2	2	no	—
1203	C₂²×C₅₃	—	2	2	no	—
1204	C₂²×C₅₃	—	2	2	no	—
1205	C₂²×C₅₃	—	2	2	no	—
1206	C₂²×C₅₃	—	2	2	no	—
1207	C₂²×C₅₃	—	4	4	no	—
1208	C₂²×C₅₃	—	8	2	no	—
1209	C₂²×C₅₃	—	8	2	no	—
1210	C₂²×C₅₃	—	8	4	no	—
1211	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1212	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1213	C₂×D₅₃	—	2	2	no	—
1214	C₂×D₅₃	—	2	2	no	—
1215	C₂×D₅₃	—	2	2	no	—
1216	C₂×D₅₃	—	2	4	no	—
1217	C₂×D₅₃	—	2	4	no	—
1218	C₂×D₅₃	—	2	4	no	—
1219	C₂×D₅₃	—	2	2	no	—
1220	C₂×D₅₃	—	2	2	no	—
1221	C₂×D₅₃	—	4	4	no	—
1222	C₂×D₅₃	—	4	8	no	—
1223	C₂×D₅₃	—	4	8	no	—
1224	C₂×D₅₃	—	4	4	no	—
1225	C₂×D₅₃	—	8	8	no	—
1226	C₂×D₅₃	—	8	4	no	—
1227	C₂×D₅₃	#585	1	4	yes	—
1228	C₄×C₅₃	—	2	1	no	—
1229	C₄×C₅₃	—	2	4	no	—
1230	C₄×C₅₃	—	2	1	no	—
1231	C₄×C₅₃	—	2	1	no	—
1232	C₄×C₅₃	—	2	1	no	—
1233	C₄×C₅₃	—	2	1	no	—
1234	C₄×C₅₃	—	2	1	no	—
1235	C₄×C₅₃	—	2	4	no	—
1236	C₄×C₅₃	—	2	4	no	—
1237	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1238	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1239	Dic₅₃	—	2	4	no	—
1240	Dic₅₃	—	2	2	no	—
1241	Dic₅₃	—	2	2	no	—
1242	Dic₅₃	—	2	2	no	—
1243	Dic₅₃	—	2	2	no	—
1244	Dic₅₃	—	2	4	no	—
1245	Dic₅₃	—	2	4	no	—
1246	Dic₅₃	—	2	2	no	—
1247	Dic₅₃	—	2	2	no	—
1248	#3542	—	53	2	no	—
1249	#3542	—	53	2	no	—
1250	#3541	—	53	2	no	—
1251	#3541	—	53	2	no	—
1252	#3540	—	53	1	no	—
1253	#3540	—	53	1	no	—
1254	#3539	—	53	2	no	—
1255	#3538	—	53	1	no	—
1256	#3537	—	53	1	no	—
1257	#3536	—	53	2	no	—
1258	#3535	—	53	4	no	—
1259	#3534	—	53	4	no	—
1260	#3533	—	53	2	no	—
1261	#3533	—	53	2	no	—
1262	#3532	—	53	2	no	—
1263	#3532	—	53	2	no	—
1264	#3529	—	53	2	no	—
1265	#3529	—	53	2	no	—
1266	#3481	—	53	2	no	—
1267	#3481	—	53	2	no	—
1268	#3475	—	53	2	no	—
1269	#3475	—	53	2	no	—
1270	D₄×#41	—	53	2	no	—
1271	D₄×#41	—	53	2	no	—
1272	#3460	—	53	4	no	—
1273	#3459	—	53	4	no	—
1274	#3455	—	53	2	no	—
1275	#3449	—	53	1	no	—
1276	#3449	D₅₃	1	1	yes	characteristic, complemented
1277	C₂×#525	—	53	1	no	—
1278	C₂×#525	—	53	2	no	—
1279	C₂×C₅₃	—	2	2	no	—
1280	C₂×C₅₃	—	4	1	no	—
1281	C₂×C₅₃	—	4	1	no	—
1282	C₂×C₅₃	—	4	1	no	—
1283	C₂×C₅₃	—	4	4	no	—
1284	C₂×C₅₃	—	4	1	no	—
1285	C₂×C₅₃	—	4	1	no	—
1286	C₂×C₅₃	—	4	1	no	—
1287	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1288	C₂×C₅₃	C₂×#585	1	2	yes	—
1289	D₅₃	—	2	4	no	—
1290	D₅₃	—	4	2	no	—
1291	D₅₃	—	4	4	no	—
1292	C₂²×#41	—	53	2	no	—
1293	C₂²×#41	—	53	1	no	—
1294	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1295	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1296	C₂⁴×C₄	—	53	1	no	—
1297	#563	—	53	4	no	—
1298	#563	—	53	2	no	—
1299	#563	—	53	2	no	—
1300	#563	—	53	4	no	—
1301	#562	—	53	4	no	—
1302	#562	—	53	4	no	—
1303	#562	—	53	4	no	—
1304	#562	—	53	4	no	—
1305	#562	—	53	4	no	—
1306	#562	—	53	4	no	—
1307	H(3,𝔽₄)	—	53	2	no	—
1308	H(3,𝔽₄)	—	53	2	no	—
1309	#560	—	53	2	no	—
1310	#560	—	53	2	no	—
1311	#560	—	53	2	no	—
1312	#560	—	53	4	no	—
1313	#560	—	53	4	no	—
1314	#560	—	53	4	no	—
1315	#560	—	53	2	no	—
1316	#560	—	53	4	no	—
1317	#559	—	53	2	no	—
1318	#559	—	53	2	no	—
1319	#556	—	53	2	no	—
1320	#556	—	53	2	no	—
1321	#555	—	53	2	no	—
1322	#555	—	53	2	no	—
1323	#554	—	53	4	no	—
1324	#554	—	53	4	no	—
1325	#554	—	53	2	no	—
1326	#554	—	53	2	no	—
1327	#553	—	53	4	no	—
1328	#553	—	53	4	no	—
1329	#553	—	53	4	no	—
1330	#553	—	53	2	no	—
1331	#553	—	53	4	no	—
1332	#553	—	53	2	no	—
1333	#553	—	53	2	no	—
1334	#553	—	53	2	no	—
1335	#552	—	53	4	no	—
1336	#552	—	53	2	no	—
1337	#552	—	53	2	no	—
1338	#552	—	53	4	no	—
1339	#552	—	53	2	no	—
1340	#552	—	53	2	no	—
1341	#551	—	53	2	no	—
1342	#551	—	53	2	no	—
1343	#551	—	53	4	no	—
1344	#551	—	53	4	no	—
1345	#551	—	53	2	no	—
1346	#551	—	53	4	no	—
1347	#551	—	53	4	no	—
1348	#551	—	53	2	no	—
1349	#551	—	53	4	no	—
1350	#551	—	53	4	no	—
1351	#550	—	53	2	no	—
1352	#550	—	53	2	no	—
1353	D₄×Q₈	—	53	2	no	—
1354	D₄×Q₈	—	53	2	no	—
1355	#548	—	53	2	no	—
1356	#548	—	53	2	no	—
1357	#548	—	53	2	no	—
1358	#548	—	53	2	no	—
1359	#547	—	53	4	no	—
1360	#547	—	53	2	no	—
1361	#547	—	53	4	no	—
1362	#547	—	53	2	no	—
1363	#547	—	53	2	no	—
1364	#547	—	53	2	no	—
1365	#546	—	53	4	no	—
1366	#546	—	53	2	no	—
1367	#546	—	53	4	no	—
1368	#546	—	53	2	no	—
1369	#546	—	53	4	no	—
1370	#546	—	53	2	no	—
1371	#546	—	53	4	no	—
1372	#546	—	53	4	no	—
1373	#546	—	53	2	no	—
1374	#546	—	53	4	no	—
1375	#546	—	53	4	no	—
1376	#546	—	53	4	no	—
1377	#546	—	53	4	no	—
1378	#546	—	53	4	no	—
1379	D₄²	—	53	4	no	—
1380	D₄²	—	53	2	no	—
1381	D₄²	—	53	2	no	—
1382	D₄²	—	53	2	no	—
1383	D₄²	—	53	4	no	—
1384	D₄²	—	53	2	no	—
1385	#544	—	53	4	no	—
1386	#543	—	53	4	no	—
1387	#542	—	53	4	no	—
1388	#542	—	53	4	no	—
1389	#542	—	53	4	no	—
1390	#542	—	53	2	no	—
1391	#542	—	53	2	no	—
1392	#542	—	53	2	no	—
1393	#542	—	53	2	no	—
1394	#542	—	53	4	no	—
1395	#541	—	53	2	no	—
1396	#541	—	53	2	no	—
1397	#540	—	53	4	no	—
1398	#540	—	53	2	no	—
1399	#540	—	53	2	no	—
1400	#540	—	53	4	no	—
1401	#540	—	53	4	no	—
1402	#540	—	53	4	no	—
1403	#539	—	53	4	no	—
1404	#539	—	53	4	no	—
1405	#539	—	53	4	no	—
1406	#539	—	53	4	no	—
1407	#539	—	53	4	no	—
1408	#539	—	53	4	no	—
1409	#539	—	53	4	no	—
1410	#539	—	53	4	no	—
1411	#538	—	53	4	no	—
1412	#538	—	53	4	no	—
1413	#538	—	53	4	no	—
1414	#538	—	53	4	no	—
1415	#538	—	53	4	no	—
1416	#538	—	53	4	no	—
1417	#538	—	53	4	no	—
1418	#538	—	53	4	no	—
1419	#538	—	53	4	no	—
1420	#538	—	53	4	no	—
1421	#538	—	53	4	no	—
1422	#538	—	53	4	no	—
1423	#537	—	53	2	no	—
1424	#537	—	53	2	no	—
1425	#537	—	53	4	no	—
1426	#537	C₂×D₅₃	1	2	yes	complemented
1427	#537	C₂×D₅₃	1	2	yes	complemented
1428	#536	—	53	1	no	—
1429	#536	—	53	1	no	—
1430	#536	—	53	2	no	—
1431	#536	C₂×D₅₃	1	2	yes	complemented
1432	#536	C₂×D₅₃	1	1	yes	characteristic, complemented
1433	#536	C₂×D₅₃	1	1	yes	characteristic, complemented
1434	#535	—	53	1	no	—
1435	#535	—	53	1	no	—
1436	#535	—	53	2	no	—
1437	#535	—	53	4	no	—
1438	#535	—	53	4	no	—
1439	#535	C₂×D₅₃	1	2	yes	complemented
1440	#535	C₂×D₅₃	1	1	yes	characteristic, complemented
1441	#535	C₂×D₅₃	1	1	yes	characteristic, complemented
1442	#534	—	53	2	no	—
1443	#534	—	53	2	no	—
1444	#534	—	53	4	no	—
1445	#534	—	53	4	no	—
1446	#534	—	53	4	no	—
1447	#534	C₂×D₅₃	1	2	yes	complemented
1448	#534	C₂×D₅₃	1	2	yes	complemented
1449	#533	—	53	2	no	—
1450	#532	—	53	2	no	—
1451	#532	—	53	2	no	—
1452	#532	—	53	2	no	—
1453	#532	—	53	4	no	—
1454	#532	—	53	4	no	—
1455	#532	C₂×D₅₃	1	2	yes	complemented
1456	#532	C₂×D₅₃	1	2	yes	complemented
1457	#529	—	53	4	no	—
1458	#529	—	53	4	no	—
1459	#529	—	53	4	no	—
1460	#529	—	53	4	no	—
1461	#529	—	53	4	no	—
1462	#529	—	53	4	no	—
1463	#529	—	53	4	no	—
1464	#529	—	53	4	no	—
1465	#529	—	53	4	no	—
1466	#529	—	53	4	no	—
1467	#525	—	53	1	no	—
1468	#525	—	53	2	no	—
1469	#525	—	53	2	no	—
1470	#525	—	53	2	no	—
1471	#525	—	53	1	no	—
1472	#525	—	53	1	no	—
1473	#525	—	53	1	no	—
1474	#525	—	53	1	no	—
1475	#525	—	53	1	no	—
1476	#525	—	53	1	no	—
1477	#525	—	53	1	no	—
1478	#525	—	53	2	no	—
1479	#525	—	53	2	no	—
1480	#525	—	53	2	no	—
1481	#525	—	53	2	no	—
1482	#525	—	53	4	no	—
1483	#525	—	53	2	no	—
1484	#525	—	53	2	no	—
1485	#525	—	53	4	no	—
1486	#525	—	53	4	no	—
1487	#525	—	53	2	no	—
1488	#525	—	53	2	no	—
1489	#525	—	53	2	no	—
1490	#525	—	53	2	no	—
1491	#525	—	53	4	no	—
1492	#525	—	53	4	no	—
1493	#525	—	53	4	no	—
1494	#525	—	53	4	no	—
1495	#525	—	53	4	no	—
1496	#525	—	53	2	no	—
1497	#525	C₂×D₅₃	1	2	yes	complemented
1498	#525	C₂×D₅₃	1	2	yes	complemented
1499	#525	C₂×D₅₃	1	2	yes	complemented
1500	#525	C₂×D₅₃	1	2	yes	complemented
1501	C₂×#123	—	53	1	no	—
1502	C₂×#123	—	53	1	no	—
1503	C₂×#123	—	53	4	no	—
1504	C₂×C₂²⋊Q₈	—	53	2	no	—
1505	C₂×C₂²⋊Q₈	—	53	2	no	—
1506	C₂×C₂²⋊Q₈	—	53	2	no	—
1507	C₂×#121	—	53	2	no	—
1508	C₂×#121	—	53	2	no	—
1509	C₂×#121	—	53	2	no	—
1510	C₂×#120	—	53	1	no	—
1511	C₂×#120	—	53	1	no	—
1512	C₂×#120	—	53	4	no	—
1513	C₄×#41	—	53	2	no	—
1514	C₄×#41	—	53	4	no	—
1515	C₄×#41	—	53	2	no	—
1516	C₄×#41	—	53	4	no	—
1517	C₂×C₄×D₄	—	53	2	no	—
1518	C₂×C₄×D₄	—	53	2	no	—
1519	C₂×C₄×D₄	—	53	4	no	—
1520	C₂×C₄×D₄	—	53	4	no	—
1521	C₂×C₄×D₄	—	53	4	no	—
1522	C₂×C₄×D₄	—	53	4	no	—
1523	C₂×#117	—	53	1	no	—
1524	C₂×#117	—	53	1	no	—
1525	C₂×#117	—	53	2	no	—
1526	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1527	C₅₃	#62729	1	1	yes	characteristic, complemented, Sylow
1528	C₂⁵	—	53	1	no	—
1529	C₂×#41	—	4	4	no	—
1530	C₂×#41	—	4	4	no	—
1531	C₂×#41	—	53	2	no	—
1532	C₂×#41	—	53	4	no	—
1533	C₂×#41	—	53	4	no	—
1534	C₂×#41	—	53	2	no	—
1535	C₂×#41	—	53	2	no	—
1536	C₂×#41	—	53	4	no	—
1537	C₂×#41	—	53	4	no	—
1538	C₂×#41	—	53	2	no	—
1539	C₂×#41	—	53	2	no	—
1540	C₂×#41	—	53	2	no	—
1541	C₂×#41	—	212	4	no	—
1542	C₂×#41	—	212	8	no	—
1543	C₂×#41	C₂²×D₅₃	1	2	yes	—
1544	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1545	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1546	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1547	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1548	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1549	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1550	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1551	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1552	C₂×#41	C₂²×D₅₃	1	2	yes	—
1553	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1554	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1555	C₂²×Q₈	—	53	2	no	—
1556	C₂²×Q₈	—	53	1	no	—
1557	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1558	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1559	C₂²×D₄	—	53	2	no	—
1560	C₂²×D₄	—	53	2	no	—
1561	C₂²×D₄	—	53	4	no	—
1562	C₂²×D₄	—	53	2	no	—
1563	C₂²×D₄	—	53	4	no	—
1564	C₂²×D₄	—	53	4	no	—
1565	C₂²×D₄	—	53	4	no	—
1566	C₂²×D₄	—	53	4	no	—
1567	C₂²×D₄	—	53	2	no	—
1568	C₂²×D₄	—	53	1	no	—
1569	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1570	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1571	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1572	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1573	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1574	C₂³×C₄	—	53	1	no	—
1575	C₂³×C₄	—	53	2	no	—
1576	C₂³×C₄	—	53	1	no	—
1577	C₂³×C₄	—	53	4	no	—
1578	C₂³×C₄	—	53	2	no	—
1579	C₂³×C₄	—	53	2	no	—
1580	C₂³×C₄	—	53	1	no	—
1581	C₂³×C₄	—	53	2	no	—
1582	C₂³×C₄	—	53	2	no	—
1583	C₂³×C₄	—	53	1	no	—
1584	C₂³×C₄	—	53	1	no	—
1585	C₂³×C₄	—	212	4	no	—
1586	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1587	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1588	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1589	C₂³×C₄	C₂²×D₅₃	1	2	yes	complemented
1590	C₄⋊Q₈	—	53	2	no	—
1591	C₄⋊Q₈	—	53	2	no	—
1592	C₄⋊Q₈	—	53	2	no	—
1593	C₄⋊Q₈	—	53	4	no	—
1594	C₄⋊Q₈	—	53	4	no	—
1595	C₄⋊Q₈	—	53	2	no	—
1596	C₄⋊Q₈	—	53	2	no	—
1597	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1598	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1599	#127	—	53	2	no	—
1600	#127	—	53	2	no	—
1601	#127	—	53	4	no	—
1602	#127	—	53	4	no	—
1603	#127	—	53	2	no	—
1604	#127	C₂²×D₅₃	1	2	yes	—
1605	#127	C₂²×D₅₃	1	2	yes	—
1606	#126	—	53	4	no	—
1607	#126	—	53	4	no	—
1608	#126	—	53	4	no	—
1609	#126	—	53	4	no	—
1610	#126	—	53	4	no	—
1611	#126	—	53	4	no	—
1612	#126	—	53	4	no	—
1613	#126	—	53	4	no	—
1614	#126	—	53	4	no	—
1615	#126	—	53	4	no	—
1616	#126	—	53	4	no	—
1617	#126	—	53	4	no	—
1618	#126	—	53	4	no	—
1619	#126	—	53	4	no	—
1620	#126	—	53	4	no	—
1621	#126	—	53	4	no	—
1622	#126	—	53	4	no	—
1623	#126	—	53	4	no	—
1624	#126	—	53	4	no	—
1625	#126	—	53	4	no	—
1626	#125	—	53	4	no	—
1627	#125	—	53	4	no	—
1628	#125	—	53	4	no	—
1629	#125	—	53	4	no	—
1630	#125	—	53	4	no	—
1631	#125	—	53	4	no	—
1632	#125	—	53	4	no	—
1633	#125	—	53	4	no	—
1634	#125	—	53	4	no	—
1635	#125	—	53	2	no	—
1636	#125	—	53	2	no	—
1637	#125	—	53	4	no	—
1638	#124	—	53	2	no	—
1639	#124	—	53	2	no	—
1640	#124	—	53	4	no	—
1641	#124	—	53	2	no	—
1642	#124	—	53	4	no	—
1643	#124	—	53	4	no	—
1644	#124	—	53	4	no	—
1645	#124	—	53	2	no	—
1646	#124	—	53	2	no	—
1647	#124	—	53	4	no	—
1648	#124	—	53	2	no	—
1649	#124	—	53	4	no	—
1650	#124	—	53	4	no	—
1651	#124	—	53	4	no	—
1652	#124	—	53	4	no	—
1653	#124	—	53	4	no	—
1654	#124	—	53	4	no	—
1655	#124	—	53	4	no	—
1656	#124	—	53	4	no	—
1657	#124	—	53	4	no	—
1658	#124	C₂²×D₅₃	1	2	yes	—
1659	#124	C₂²×D₅₃	1	2	yes	—
1660	#124	C₂²×D₅₃	1	2	yes	complemented
1661	#124	C₂²×D₅₃	1	2	yes	complemented
1662	#123	—	53	2	no	—
1663	#123	—	53	2	no	—
1664	#123	—	53	2	no	—
1665	#123	—	53	2	no	—
1666	#123	—	53	4	no	—
1667	#123	—	53	1	no	—
1668	#123	—	53	1	no	—
1669	#123	—	53	1	no	—
1670	#123	—	53	1	no	—
1671	#123	—	53	1	no	—
1672	#123	—	53	1	no	—
1673	#123	—	53	1	no	—
1674	#123	—	53	1	no	—
1675	#123	—	53	2	no	—
1676	#123	—	53	2	no	—
1677	#123	—	53	2	no	—
1678	#123	—	53	2	no	—
1679	#123	—	53	4	no	—
1680	#123	—	53	4	no	—
1681	#123	—	53	4	no	—
1682	#123	—	53	4	no	—
1683	#123	—	53	4	no	—
1684	#123	—	53	4	no	—
1685	#123	—	53	4	no	—
1686	#123	—	53	4	no	—
1687	#123	—	53	4	no	—
1688	#123	—	53	4	no	—
1689	#123	—	53	4	no	—
1690	#123	—	53	4	no	—
1691	#123	—	53	4	no	—
1692	#123	—	53	4	no	—
1693	#123	—	53	4	no	—
1694	#123	—	53	4	no	—
1695	#123	—	53	4	no	—
1696	#123	—	53	4	no	—
1697	#123	—	53	4	no	—
1698	#123	—	53	4	no	—
1699	#123	—	53	4	no	—
1700	#123	—	53	4	no	—
1701	#123	—	53	4	no	—
1702	#123	—	53	4	no	—
1703	#123	—	53	4	no	—
1704	#123	—	53	4	no	—
1705	#123	—	53	4	no	—
1706	#123	—	53	4	no	—
1707	#123	—	53	4	no	—
1708	#123	—	53	4	no	—
1709	#123	—	53	4	no	—
1710	#123	—	53	4	no	—
1711	#123	—	53	4	no	—
1712	#123	—	53	4	no	—
1713	#123	—	53	4	no	—
1714	#123	C₂²×D₅₃	1	4	yes	—
1715	#123	C₂²×D₅₃	1	2	yes	—
1716	#123	C₂²×D₅₃	1	4	yes	—
1717	#123	C₂²×D₅₃	1	2	yes	—
1718	#123	C₂²×D₅₃	1	2	yes	complemented
1719	#123	C₂²×D₅₃	1	2	yes	complemented
1720	C₂²⋊Q₈	—	53	2	no	—
1721	C₂²⋊Q₈	—	53	2	no	—
1722	C₂²⋊Q₈	—	53	2	no	—
1723	C₂²⋊Q₈	—	53	2	no	—
1724	C₂²⋊Q₈	—	53	2	no	—
1725	C₂²⋊Q₈	—	53	2	no	—
1726	C₂²⋊Q₈	—	53	2	no	—
1727	C₂²⋊Q₈	—	53	2	no	—
1728	C₂²⋊Q₈	—	53	2	no	—
1729	C₂²⋊Q₈	—	53	2	no	—
1730	C₂²⋊Q₈	—	53	4	no	—
1731	C₂²⋊Q₈	—	53	4	no	—
1732	C₂²⋊Q₈	—	53	4	no	—
1733	C₂²⋊Q₈	—	53	4	no	—
1734	C₂²⋊Q₈	—	53	2	no	—
1735	C₂²⋊Q₈	—	53	2	no	—
1736	C₂²⋊Q₈	—	53	2	no	—
1737	C₂²⋊Q₈	—	53	2	no	—
1738	C₂²⋊Q₈	—	53	4	no	—
1739	C₂²⋊Q₈	—	53	4	no	—
1740	C₂²⋊Q₈	—	53	4	no	—
1741	C₂²⋊Q₈	—	53	4	no	—
1742	C₂²⋊Q₈	—	53	2	no	—
1743	C₂²⋊Q₈	—	53	2	no	—
1744	C₂²⋊Q₈	—	53	4	no	—
1745	C₂²⋊Q₈	—	53	4	no	—
1746	C₂²⋊Q₈	—	53	4	no	—
1747	C₂²⋊Q₈	—	53	4	no	—
1748	C₂²⋊Q₈	—	53	4	no	—
1749	C₂²⋊Q₈	—	53	4	no	—
1750	C₂²⋊Q₈	—	53	4	no	—
1751	C₂²⋊Q₈	—	53	4	no	—
1752	C₂²⋊Q₈	—	53	4	no	—
1753	C₂²⋊Q₈	—	53	4	no	—
1754	C₂²⋊Q₈	—	53	4	no	—
1755	C₂²⋊Q₈	—	53	4	no	—
1756	C₂²⋊Q₈	—	53	4	no	—
1757	C₂²⋊Q₈	—	53	4	no	—
1758	C₂²⋊Q₈	—	53	4	no	—
1759	C₂²⋊Q₈	—	53	4	no	—
1760	C₂²⋊Q₈	—	53	4	no	—
1761	C₂²⋊Q₈	—	53	4	no	—
1762	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1763	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1764	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1765	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1766	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1767	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1768	#121	—	53	2	no	—
1769	#121	—	53	2	no	—
1770	#121	—	53	2	no	—
1771	#121	—	53	4	no	—
1772	#121	—	53	2	no	—
1773	#121	—	53	2	no	—
1774	#121	—	53	2	no	—
1775	#121	—	53	2	no	—
1776	#121	—	53	2	no	—
1777	#121	—	53	2	no	—
1778	#121	—	53	2	no	—
1779	#121	—	53	4	no	—
1780	#121	—	53	4	no	—
1781	#121	—	53	4	no	—
1782	#121	—	53	4	no	—
1783	#121	—	53	4	no	—
1784	#121	—	53	4	no	—
1785	#121	—	53	4	no	—
1786	#121	—	53	4	no	—
1787	#121	—	53	4	no	—
1788	#121	—	53	4	no	—
1789	#121	—	53	4	no	—
1790	#121	—	53	4	no	—
1791	#121	—	53	4	no	—
1792	#121	—	53	4	no	—
1793	#121	—	53	4	no	—
1794	#121	—	53	4	no	—
1795	#121	—	53	4	no	—
1796	#121	—	53	4	no	—
1797	#121	—	53	4	no	—
1798	#121	—	53	4	no	—
1799	#121	—	53	4	no	—
1800	#121	—	53	4	no	—
1801	#121	—	53	4	no	—
1802	#121	—	53	4	no	—
1803	#121	—	53	4	no	—
1804	#121	—	53	2	no	—
1805	#121	—	53	2	no	—
1806	#121	—	53	4	no	—
1807	#121	—	53	2	no	—
1808	#121	—	53	2	no	—
1809	#121	—	53	4	no	—
1810	#121	—	53	4	no	—
1811	#121	—	53	2	no	—
1812	#121	—	53	2	no	—
1813	#121	—	53	4	no	—
1814	#121	—	53	4	no	—
1815	#121	—	53	4	no	—
1816	#121	—	53	4	no	—
1817	#121	—	53	4	no	—
1818	#121	—	53	4	no	—
1819	#121	—	53	4	no	—
1820	#121	—	53	4	no	—
1821	#121	—	53	4	no	—
1822	#121	C₂²×D₅₃	1	2	yes	—
1823	#121	C₂²×D₅₃	1	2	yes	—
1824	#121	C₂²×D₅₃	1	4	yes	—
1825	#121	C₂²×D₅₃	1	4	yes	—
1826	#121	C₂²×D₅₃	1	4	yes	—
1827	#121	C₂²×D₅₃	1	4	yes	—
1828	#121	C₂²×D₅₃	1	2	yes	complemented
1829	#121	C₂²×D₅₃	1	2	yes	complemented
1830	#121	C₂²×D₅₃	1	4	yes	complemented
1831	#121	C₂²×D₅₃	1	4	yes	complemented
1832	#120	—	53	4	no	—
1833	#120	—	53	4	no	—
1834	#120	—	53	4	no	—
1835	#120	—	53	4	no	—
1836	#120	—	53	2	no	—
1837	#120	—	53	2	no	—
1838	#120	—	53	4	no	—
1839	#120	—	53	2	no	—
1840	#120	—	53	2	no	—
1841	#120	—	53	1	no	—
1842	#120	—	53	1	no	—
1843	#120	—	53	4	no	—
1844	#120	—	53	1	no	—
1845	#120	—	53	1	no	—
1846	#120	—	53	1	no	—
1847	#120	—	53	1	no	—
1848	#120	—	53	4	no	—
1849	#120	—	53	1	no	—
1850	#120	—	53	1	no	—
1851	#120	—	53	2	no	—
1852	#120	—	53	2	no	—
1853	#120	—	53	2	no	—
1854	#120	—	53	2	no	—
1855	#120	—	53	4	no	—
1856	#120	—	53	4	no	—
1857	#120	—	53	4	no	—
1858	#120	—	53	4	no	—
1859	#120	—	53	4	no	—
1860	#120	—	53	4	no	—
1861	#120	—	53	4	no	—
1862	#120	—	53	4	no	—
1863	#120	—	53	4	no	—
1864	#120	C₂²×D₅₃	1	4	yes	—
1865	#120	C₂²×D₅₃	1	2	yes	—
1866	#120	C₂²×D₅₃	1	4	yes	—
1867	#120	C₂²×D₅₃	1	2	yes	—
1868	#120	C₂²×D₅₃	1	2	yes	complemented
1869	#120	C₂²×D₅₃	1	2	yes	complemented
1870	C₄×Q₈	—	53	2	no	—
1871	C₄×Q₈	—	53	2	no	—
1872	C₄×Q₈	—	53	2	no	—
1873	C₄×Q₈	—	53	2	no	—
1874	C₄×Q₈	—	53	4	no	—
1875	C₄×Q₈	—	53	4	no	—
1876	C₄×Q₈	—	53	4	no	—
1877	C₄×Q₈	—	53	4	no	—
1878	C₄×D₄	—	53	4	no	—
1879	C₄×D₄	—	53	4	no	—
1880	C₄×D₄	—	53	4	no	—
1881	C₄×D₄	—	53	4	no	—
1882	C₄×D₄	—	53	4	no	—
1883	C₄×D₄	—	53	4	no	—
1884	C₄×D₄	—	53	2	no	—
1885	C₄×D₄	—	53	2	no	—
1886	C₄×D₄	—	53	2	no	—
1887	C₄×D₄	—	53	2	no	—
1888	C₄×D₄	—	53	4	no	—
1889	C₄×D₄	—	53	2	no	—
1890	C₄×D₄	—	53	2	no	—
1891	C₄×D₄	—	53	2	no	—
1892	C₄×D₄	—	53	2	no	—
1893	C₄×D₄	—	53	4	no	—
1894	C₄×D₄	—	53	4	no	—
1895	C₄×D₄	—	53	4	no	—
1896	C₄×D₄	—	53	4	no	—
1897	C₄×D₄	—	53	2	no	—
1898	C₄×D₄	—	53	2	no	—
1899	C₄×D₄	—	53	4	no	—
1900	C₄×D₄	—	53	4	no	—
1901	C₄×D₄	—	53	2	no	—
1902	C₄×D₄	—	53	2	no	—
1903	C₄×D₄	—	53	2	no	—
1904	C₄×D₄	—	53	2	no	—
1905	C₄×D₄	—	53	2	no	—
1906	C₄×D₄	—	53	2	no	—
1907	C₄×D₄	—	53	2	no	—
1908	C₄×D₄	—	53	2	no	—
1909	C₄×D₄	—	53	4	no	—
1910	C₄×D₄	—	53	4	no	—
1911	C₄×D₄	—	53	4	no	—
1912	C₄×D₄	—	53	4	no	—
1913	C₄×D₄	—	53	4	no	—
1914	C₄×D₄	—	53	4	no	—
1915	C₄×D₄	—	53	4	no	—
1916	C₄×D₄	—	53	4	no	—
1917	C₄×D₄	—	53	4	no	—
1918	C₄×D₄	—	53	4	no	—
1919	C₄×D₄	—	53	2	no	—
1920	C₄×D₄	—	53	2	no	—
1921	C₄×D₄	—	53	4	no	—
1922	C₄×D₄	—	53	4	no	—
1923	C₄×D₄	—	53	4	no	—
1924	C₄×D₄	—	53	4	no	—
1925	C₄×D₄	—	53	4	no	—
1926	C₄×D₄	—	53	4	no	—
1927	C₄×D₄	—	53	4	no	—
1928	C₄×D₄	—	53	4	no	—
1929	C₄×D₄	—	53	4	no	—
1930	C₄×D₄	—	53	4	no	—
1931	C₄×D₄	—	53	4	no	—
1932	C₄×D₄	—	53	4	no	—
1933	C₄×D₄	—	53	4	no	—
1934	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1935	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1936	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1937	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1938	#117	—	53	2	no	—
1939	#117	—	53	1	no	—
1940	#117	—	53	1	no	—
1941	#117	—	53	2	no	—
1942	#117	—	53	2	no	—
1943	#117	—	53	1	no	—
1944	#117	—	53	2	no	—
1945	#117	—	53	1	no	—
1946	#117	—	53	2	no	—
1947	#117	—	53	1	no	—
1948	#117	—	53	1	no	—
1949	#117	—	53	4	no	—
1950	#117	—	53	4	no	—
1951	#117	—	53	2	no	—
1952	#117	—	53	2	no	—
1953	#117	—	53	4	no	—
1954	#117	—	53	4	no	—
1955	#117	—	53	4	no	—
1956	#117	—	53	4	no	—
1957	#117	—	53	4	no	—
1958	#117	—	53	4	no	—
1959	#117	—	53	4	no	—
1960	#117	—	53	4	no	—
1961	#117	C₂²×D₅₃	1	2	yes	—
1962	#117	C₂²×D₅₃	1	2	yes	—
1963	#117	C₂²×D₅₃	1	2	yes	complemented
1964	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
1965	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
1966	C₂×C₄⋊C₄	—	53	2	no	—
1967	C₂×C₄⋊C₄	—	53	2	no	—
1968	C₂×C₄⋊C₄	—	53	2	no	—
1969	C₂×C₄⋊C₄	—	53	2	no	—
1970	C₂×C₄⋊C₄	—	53	4	no	—
1971	C₂×C₄⋊C₄	—	53	2	no	—
1972	C₂×C₄⋊C₄	—	53	2	no	—
1973	C₂×C₄⋊C₄	—	53	4	no	—
1974	C₂×C₄⋊C₄	—	53	4	no	—
1975	C₂×C₄⋊C₄	—	53	4	no	—
1976	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1977	C₂×C₂²⋊C₄	—	53	1	no	—
1978	C₂×C₂²⋊C₄	—	53	1	no	—
1979	C₂×C₂²⋊C₄	—	53	2	no	—
1980	C₂×C₂²⋊C₄	—	53	2	no	—
1981	C₂×C₂²⋊C₄	—	53	2	no	—
1982	C₂×C₂²⋊C₄	—	53	4	no	—
1983	C₂×C₂²⋊C₄	—	53	2	no	—
1984	C₂×C₂²⋊C₄	—	53	2	no	—
1985	C₂×C₂²⋊C₄	—	53	4	no	—
1986	C₂×C₂²⋊C₄	—	53	4	no	—
1987	C₂×C₂²⋊C₄	—	53	4	no	—
1988	C₂×C₂²⋊C₄	—	53	4	no	—
1989	C₂×C₂²⋊C₄	—	53	4	no	—
1990	C₂×C₂²⋊C₄	—	53	4	no	—
1991	C₂×C₂²⋊C₄	—	53	4	no	—
1992	C₂×C₂²⋊C₄	—	53	4	no	—
1993	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1994	C₂×C₄²	—	53	2	no	—
1995	C₂×C₄²	—	53	2	no	—
1996	C₂×C₄²	—	53	4	no	—
1997	C₂×C₄²	—	53	4	no	—
1998	C₂×C₄²	—	53	4	no	—
1999	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
2000	C₂⁴	—	53	1	no	—
2001	C₂⁴	—	53	2	no	—
2002	C₂⁴	—	53	4	no	—
2003	C₂⁴	—	53	2	no	—
2004	C₂⁴	—	53	2	no	—
2005	C₂⁴	—	53	1	no	—
2006	C₂⁴	—	212	2	no	—
2007	C₂⁴	—	212	4	no	—
2008	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2009	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2010	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2011	C₂⁴	C₂³×D₅₃	1	2	yes	—
2012	#41	—	2	8	no	—
2013	#41	—	4	2	no	—
2014	#41	—	4	2	no	—
2015	#41	—	4	2	no	—
2016	#41	—	4	2	no	—
2017	#41	—	4	2	no	—
2018	#41	—	4	2	no	—
2019	#41	—	4	2	no	—
2020	#41	—	4	2	no	—
2021	#41	—	4	4	no	—
2022	#41	—	4	4	no	—
2023	#41	—	4	4	no	—
2024	#41	—	106	8	no	—
2025	#41	—	212	4	no	—
2026	#41	—	212	8	no	—
2027	#41	—	212	4	no	—
2028	#41	—	212	4	no	—
2029	#41	—	212	8	no	—
2030	#41	—	212	8	no	—
2031	#41	—	212	4	no	—
2032	#41	—	212	8	no	—
2033	#41	—	212	4	no	—
2034	C₂×Q₈	—	4	2	no	—
2035	C₂×Q₈	—	4	2	no	—
2036	C₂×Q₈	—	53	2	no	—
2037	C₂×Q₈	—	53	4	no	—
2038	C₂×Q₈	—	53	4	no	—
2039	C₂×Q₈	—	53	4	no	—
2040	C₂×Q₈	—	53	2	no	—
2041	C₂×Q₈	—	212	2	no	—
2042	C₂×Q₈	—	212	4	no	—
2043	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2044	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2045	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2046	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2047	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2048	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2049	C₂×D₄	—	4	2	no	—
2050	C₂×D₄	—	4	2	no	—
2051	C₂×D₄	—	4	2	no	—
2052	C₂×D₄	—	4	2	no	—
2053	C₂×D₄	—	4	4	no	—
2054	C₂×D₄	—	53	2	no	—
2055	C₂×D₄	—	53	2	no	—
2056	C₂×D₄	—	53	4	no	—
2057	C₂×D₄	—	53	2	no	—
2058	C₂×D₄	—	53	2	no	—
2059	C₂×D₄	—	53	4	no	—
2060	C₂×D₄	—	53	2	no	—
2061	C₂×D₄	—	53	2	no	—
2062	C₂×D₄	—	53	4	no	—
2063	C₂×D₄	—	53	4	no	—
2064	C₂×D₄	—	53	4	no	—
2065	C₂×D₄	—	53	4	no	—
2066	C₂×D₄	—	53	4	no	—
2067	C₂×D₄	—	53	2	no	—
2068	C₂×D₄	—	53	2	no	—
2069	C₂×D₄	—	53	4	no	—
2070	C₂×D₄	—	53	4	no	—
2071	C₂×D₄	—	53	4	no	—
2072	C₂×D₄	—	53	4	no	—
2073	C₂×D₄	—	53	4	no	—
2074	C₂×D₄	—	53	4	no	—
2075	C₂×D₄	—	53	2	no	—
2076	C₂×D₄	—	53	4	no	—
2077	C₂×D₄	—	53	4	no	—
2078	C₂×D₄	—	53	2	no	—
2079	C₂×D₄	—	212	2	no	—
2080	C₂×D₄	—	212	4	no	—
2081	C₂×D₄	—	212	8	no	—
2082	C₂×D₄	—	212	8	no	—
2083	C₂×D₄	—	212	8	no	—
2084	C₂×D₄	—	212	8	no	—
2085	C₂×D₄	—	212	4	no	—
2086	C₂×D₄	—	212	8	no	—
2087	C₂×D₄	—	212	4	no	—
2088	C₂×D₄	—	212	4	no	—
2089	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2090	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2091	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2092	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2093	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2094	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2095	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2096	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2097	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2098	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2099	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2100	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2101	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2102	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2103	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2104	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2105	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2106	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2107	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2108	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2109	C₂²×C₄	—	2	4	no	—
2110	C₂²×C₄	—	2	4	no	—
2111	C₂²×C₄	—	2	4	no	—
2112	C₂²×C₄	—	4	4	no	—
2113	C₂²×C₄	—	53	2	no	—
2114	C₂²×C₄	—	53	2	no	—
2115	C₂²×C₄	—	53	2	no	—
2116	C₂²×C₄	—	53	4	no	—
2117	C₂²×C₄	—	53	4	no	—
2118	C₂²×C₄	—	53	4	no	—
2119	C₂²×C₄	—	53	4	no	—
2120	C₂²×C₄	—	53	1	no	—
2121	C₂²×C₄	—	53	2	no	—
2122	C₂²×C₄	—	53	2	no	—
2123	C₂²×C₄	—	53	1	no	—
2124	C₂²×C₄	—	53	4	no	—
2125	C₂²×C₄	—	53	2	no	—
2126	C₂²×C₄	—	53	2	no	—
2127	C₂²×C₄	—	53	2	no	—
2128	C₂²×C₄	—	53	4	no	—
2129	C₂²×C₄	—	53	2	no	—
2130	C₂²×C₄	—	53	4	no	—
2131	C₂²×C₄	—	53	4	no	—
2132	C₂²×C₄	—	53	4	no	—
2133	C₂²×C₄	—	53	2	no	—
2134	C₂²×C₄	—	53	4	no	—
2135	C₂²×C₄	—	53	2	no	—
2136	C₂²×C₄	—	53	4	no	—
2137	C₂²×C₄	—	53	4	no	—
2138	C₂²×C₄	—	53	2	no	—
2139	C₂²×C₄	—	53	2	no	—
2140	C₂²×C₄	—	106	8	no	—
2141	C₂²×C₄	—	212	2	no	—
2142	C₂²×C₄	—	212	4	no	—
2143	C₂²×C₄	—	212	2	no	—
2144	C₂²×C₄	—	212	4	no	—
2145	C₂²×C₄	—	212	2	no	—
2146	C₂²×C₄	—	212	2	no	—
2147	C₂²×C₄	—	212	4	no	—
2148	C₂²×C₄	—	212	8	no	—
2149	C₂²×C₄	—	212	4	no	—
2150	C₂²×C₄	—	212	2	no	—
2151	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2152	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2153	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2154	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2155	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2156	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2157	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2158	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2159	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2160	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2161	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2162	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2163	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2164	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2165	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2166	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2167	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2168	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2169	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2170	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2171	C₄⋊C₄	—	53	2	no	—
2172	C₄⋊C₄	—	53	2	no	—
2173	C₄⋊C₄	—	53	2	no	—
2174	C₄⋊C₄	—	53	2	no	—
2175	C₄⋊C₄	—	53	4	no	—
2176	C₄⋊C₄	—	53	4	no	—
2177	C₄⋊C₄	—	53	2	no	—
2178	C₄⋊C₄	—	53	2	no	—
2179	C₄⋊C₄	—	53	2	no	—
2180	C₄⋊C₄	—	53	4	no	—
2181	C₄⋊C₄	—	53	4	no	—
2182	C₄⋊C₄	—	53	2	no	—
2183	C₄⋊C₄	—	53	2	no	—
2184	C₄⋊C₄	—	53	4	no	—
2185	C₄⋊C₄	—	53	2	no	—
2186	C₄⋊C₄	—	53	4	no	—
2187	C₄⋊C₄	—	53	4	no	—
2188	C₄⋊C₄	—	53	2	no	—
2189	C₄⋊C₄	—	53	2	no	—
2190	C₄⋊C₄	—	53	4	no	—
2191	C₄⋊C₄	—	53	4	no	—
2192	C₄⋊C₄	—	53	4	no	—
2193	C₄⋊C₄	—	53	4	no	—
2194	C₄⋊C₄	—	53	4	no	—
2195	C₄⋊C₄	—	53	2	no	—
2196	C₄⋊C₄	—	53	2	no	—
2197	C₄⋊C₄	—	53	4	no	—
2198	C₄⋊C₄	—	53	4	no	—
2199	C₄⋊C₄	—	53	4	no	—
2200	C₄⋊C₄	—	53	4	no	—
2201	C₄⋊C₄	—	53	4	no	—
2202	C₄⋊C₄	—	53	4	no	—
2203	C₄⋊C₄	—	53	4	no	—
2204	C₄⋊C₄	—	53	4	no	—
2205	C₄⋊C₄	—	53	4	no	—
2206	C₄⋊C₄	—	53	4	no	—
2207	C₄⋊C₄	—	53	4	no	—
2208	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2209	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2210	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2211	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2212	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2213	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2214	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2215	C₂²⋊C₄	—	53	2	no	—
2216	C₂²⋊C₄	—	53	2	no	—
2217	C₂²⋊C₄	—	53	4	no	—
2218	C₂²⋊C₄	—	53	4	no	—
2219	C₂²⋊C₄	—	53	2	no	—
2220	C₂²⋊C₄	—	53	2	no	—
2221	C₂²⋊C₄	—	53	1	no	—
2222	C₂²⋊C₄	—	53	1	no	—
2223	C₂²⋊C₄	—	53	2	no	—
2224	C₂²⋊C₄	—	53	2	no	—
2225	C₂²⋊C₄	—	53	2	no	—
2226	C₂²⋊C₄	—	53	2	no	—
2227	C₂²⋊C₄	—	53	1	no	—
2228	C₂²⋊C₄	—	53	1	no	—
2229	C₂²⋊C₄	—	53	2	no	—
2230	C₂²⋊C₄	—	53	2	no	—
2231	C₂²⋊C₄	—	53	4	no	—
2232	C₂²⋊C₄	—	53	4	no	—
2233	C₂²⋊C₄	—	53	4	no	—
2234	C₂²⋊C₄	—	53	4	no	—
2235	C₂²⋊C₄	—	53	4	no	—
2236	C₂²⋊C₄	—	53	4	no	—
2237	C₂²⋊C₄	—	53	2	no	—
2238	C₂²⋊C₄	—	53	2	no	—
2239	C₂²⋊C₄	—	53	4	no	—
2240	C₂²⋊C₄	—	53	4	no	—
2241	C₂²⋊C₄	—	53	4	no	—
2242	C₂²⋊C₄	—	53	2	no	—
2243	C₂²⋊C₄	—	53	2	no	—
2244	C₂²⋊C₄	—	53	4	no	—
2245	C₂²⋊C₄	—	53	4	no	—
2246	C₂²⋊C₄	—	53	4	no	—
2247	C₂²⋊C₄	—	53	2	no	—
2248	C₂²⋊C₄	—	53	2	no	—
2249	C₂²⋊C₄	—	53	4	no	—
2250	C₂²⋊C₄	—	53	4	no	—
2251	C₂²⋊C₄	—	53	2	no	—
2252	C₂²⋊C₄	—	53	2	no	—
2253	C₂²⋊C₄	—	53	4	no	—
2254	C₂²⋊C₄	—	53	4	no	—
2255	C₂²⋊C₄	—	53	2	no	—
2256	C₂²⋊C₄	—	53	2	no	—
2257	C₂²⋊C₄	—	53	4	no	—
2258	C₂²⋊C₄	—	53	4	no	—
2259	C₂²⋊C₄	—	53	4	no	—
2260	C₂²⋊C₄	—	53	4	no	—
2261	C₂²⋊C₄	—	53	4	no	—
2262	C₂²⋊C₄	—	53	4	no	—
2263	C₂²⋊C₄	—	53	4	no	—
2264	C₂²⋊C₄	—	53	4	no	—
2265	C₂²⋊C₄	—	53	4	no	—
2266	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2267	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2268	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2269	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2270	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2271	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2272	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2273	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2274	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2275	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2276	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2277	C₄²	—	53	2	no	—
2278	C₄²	—	53	4	no	—
2279	C₄²	—	53	4	no	—
2280	C₄²	—	53	2	no	—
2281	C₄²	—	53	2	no	—
2282	C₄²	—	53	4	no	—
2283	C₄²	—	53	4	no	—
2284	C₄²	—	53	2	no	—
2285	C₄²	—	53	4	no	—
2286	C₄²	—	53	4	no	—
2287	C₄²	—	53	2	no	—
2288	C₄²	—	53	2	no	—
2289	C₄²	—	53	4	no	—
2290	C₄²	C₂³×D₅₃	1	2	yes	—
2291	C₄²	C₂³×D₅₃	1	2	yes	—
2292	C₄²	C₂³×D₅₃	1	4	yes	—
2293	C₂³	—	2	2	no	—
2294	C₂³	—	2	2	no	—
2295	C₂³	—	2	2	no	—
2296	C₂³	—	4	2	no	—
2297	C₂³	—	4	2	no	—
2298	C₂³	—	4	2	no	—
2299	C₂³	—	4	2	no	—
2300	C₂³	—	4	4	no	—
2301	C₂³	—	53	2	no	—
2302	C₂³	—	53	2	no	—
2303	C₂³	—	53	4	no	—
2304	C₂³	—	106	8	no	—
2305	C₂³	—	106	4	no	—
2306	C₂³	—	106	4	no	—
2307	C₂³	—	106	4	no	—
2308	C₂³	—	106	4	no	—
2309	C₂³	—	212	2	no	—
2310	C₂³	—	212	4	no	—
2311	C₂³	—	212	4	no	—
2312	C₂³	—	212	4	no	—
2313	C₂³	—	212	1	no	—
2314	C₂³	—	212	2	no	—
2315	C₂³	—	212	1	no	—
2316	C₂³	—	212	2	no	—
2317	C₂³	—	212	2	no	—
2318	C₂³	—	212	2	no	—
2319	C₂³	—	212	16	no	—
2320	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2321	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2322	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2323	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2324	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2325	C₂³	C₂⁴×D₅₃	1	4	yes	—
2326	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2327	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2328	Q₈	—	2	4	no	—
2329	Q₈	—	4	1	no	—
2330	Q₈	—	4	1	no	—
2331	Q₈	—	4	1	no	—
2332	Q₈	—	4	1	no	—
2333	Q₈	—	4	2	no	—
2334	Q₈	—	106	4	no	—
2335	Q₈	—	212	2	no	—
2336	Q₈	—	212	4	no	—
2337	Q₈	—	212	4	no	—
2338	Q₈	—	212	4	no	—
2339	D₄	—	2	8	no	—
2340	D₄	—	2	4	no	—
2341	D₄	—	4	1	no	—
2342	D₄	—	4	1	no	—
2343	D₄	—	4	1	no	—
2344	D₄	—	4	1	no	—
2345	D₄	—	4	1	no	—
2346	D₄	—	4	1	no	—
2347	D₄	—	4	1	no	—
2348	D₄	—	4	1	no	—
2349	D₄	—	4	1	no	—
2350	D₄	—	4	1	no	—
2351	D₄	—	4	2	no	—
2352	D₄	—	4	1	no	—
2353	D₄	—	4	1	no	—
2354	D₄	—	4	4	no	—
2355	D₄	—	4	4	no	—
2356	D₄	—	4	4	no	—
2357	D₄	—	4	4	no	—
2358	D₄	—	4	4	no	—
2359	D₄	—	106	8	no	—
2360	D₄	—	106	4	no	—
2361	D₄	—	106	4	no	—
2362	D₄	—	106	8	no	—
2363	D₄	—	106	4	no	—
2364	D₄	—	106	4	no	—
2365	D₄	—	106	8	no	—
2366	D₄	—	106	4	no	—
2367	D₄	—	212	4	no	—
2368	D₄	—	212	2	no	—
2369	D₄	—	212	4	no	—
2370	D₄	—	212	4	no	—
2371	D₄	—	212	4	no	—
2372	D₄	—	212	2	no	—
2373	D₄	—	212	2	no	—
2374	D₄	—	212	4	no	—
2375	D₄	—	212	4	no	—
2376	D₄	—	212	4	no	—
2377	D₄	—	212	4	no	—
2378	D₄	—	212	2	no	—
2379	D₄	—	212	2	no	—
2380	D₄	—	212	4	no	—
2381	D₄	—	212	4	no	—
2382	D₄	—	212	4	no	—
2383	D₄	—	212	4	no	—
2384	C₂×C₄	—	2	2	no	—
2385	C₂×C₄	—	2	2	no	—
2386	C₂×C₄	—	2	2	no	—
2387	C₂×C₄	—	2	2	no	—
2388	C₂×C₄	—	2	2	no	—
2389	C₂×C₄	—	2	2	no	—
2390	C₂×C₄	—	2	2	no	—
2391	C₂×C₄	—	2	2	no	—
2392	C₂×C₄	—	2	2	no	—
2393	C₂×C₄	—	2	2	no	—
2394	C₂×C₄	—	2	2	no	—
2395	C₂×C₄	—	2	2	no	—
2396	C₂×C₄	—	2	2	no	—
2397	C₂×C₄	—	2	2	no	—
2398	C₂×C₄	—	2	2	no	—
2399	C₂×C₄	—	2	8	no	—
2400	C₂×C₄	—	4	2	no	—
2401	C₂×C₄	—	4	4	no	—
2402	C₂×C₄	—	4	4	no	—
2403	C₂×C₄	—	53	2	no	—
2404	C₂×C₄	—	53	2	no	—
2405	C₂×C₄	—	53	4	no	—
2406	C₂×C₄	—	53	4	no	—
2407	C₂×C₄	—	53	2	no	—
2408	C₂×C₄	—	53	2	no	—
2409	C₂×C₄	—	53	2	no	—
2410	C₂×C₄	—	53	4	no	—
2411	C₂×C₄	—	53	2	no	—
2412	C₂×C₄	—	106	8	no	—
2413	C₂×C₄	—	106	4	no	—
2414	C₂×C₄	—	106	4	no	—
2415	C₂×C₄	—	106	4	no	—
2416	C₂×C₄	—	106	4	no	—
2417	C₂×C₄	—	106	4	no	—
2418	C₂×C₄	—	106	8	no	—
2419	C₂×C₄	—	212	2	no	—
2420	C₂×C₄	—	212	2	no	—
2421	C₂×C₄	—	212	2	no	—
2422	C₂×C₄	—	212	2	no	—
2423	C₂×C₄	—	212	4	no	—
2424	C₂×C₄	—	212	4	no	—
2425	C₂×C₄	—	212	4	no	—
2426	C₂×C₄	—	212	4	no	—
2427	C₂×C₄	—	212	4	no	—
2428	C₂×C₄	—	212	4	no	—
2429	C₂×C₄	—	212	1	no	—
2430	C₂×C₄	—	212	2	no	—
2431	C₂×C₄	—	212	1	no	—
2432	C₂×C₄	—	212	2	no	—
2433	C₂×C₄	—	212	4	no	—
2434	C₂×C₄	—	212	4	no	—
2435	C₂×C₄	—	212	2	no	—
2436	C₂×C₄	—	212	2	no	—
2437	C₂×C₄	—	212	4	no	—
2438	C₂×C₄	—	212	4	no	—
2439	C₂×C₄	#13133262	1	4	yes	—
2440	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2441	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2442	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2443	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2444	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2445	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2446	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2447	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2448	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2449	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2450	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2451	C₂²	—	2	2	no	—
2452	C₂²	—	2	1	no	—
2453	C₂²	—	2	1	no	—
2454	C₂²	—	2	1	no	—
2455	C₂²	—	2	1	no	—
2456	C₂²	—	2	1	no	—
2457	C₂²	—	2	1	no	—
2458	C₂²	—	2	4	no	—
2459	C₂²	—	2	2	no	—
2460	C₂²	—	2	2	no	—
2461	C₂²	—	2	4	no	—
2462	C₂²	—	2	4	no	—
2463	C₂²	—	2	2	no	—
2464	C₂²	—	2	2	no	—
2465	C₂²	—	2	2	no	—
2466	C₂²	—	2	2	no	—
2467	C₂²	—	4	4	no	—
2468	C₂²	—	8	2	no	—
2469	C₂²	—	8	2	no	—
2470	C₂²	—	8	4	no	—
2471	C₂²	—	53	4	no	—
2472	C₂²	—	106	2	no	—
2473	C₂²	—	106	2	no	—
2474	C₂²	—	106	2	no	—
2475	C₂²	—	106	4	no	—
2476	C₂²	—	106	4	no	—
2477	C₂²	—	106	4	no	—
2478	C₂²	—	106	2	no	—
2479	C₂²	—	106	2	no	—
2480	C₂²	—	424	8	no	—
2481	C₂²	—	424	4	no	—
2482	C₂²	—	212	8	no	—
2483	C₂²	—	212	4	no	—
2484	C₂²	—	212	8	no	—
2485	C₂²	—	212	4	no	—
2486	C₂²	C₂×#13133262	1	2	yes	—
2487	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2488	C₄	—	2	1	no	—
2489	C₄	—	2	1	no	—
2490	C₄	—	2	1	no	—
2491	C₄	—	2	1	no	—
2492	C₄	—	2	1	no	—
2493	C₄	—	2	1	no	—
2494	C₄	—	2	4	no	—
2495	C₄	—	2	4	no	—
2496	C₄	—	2	4	no	—
2497	C₄	—	106	2	no	—
2498	C₄	—	106	2	no	—
2499	C₄	—	106	4	no	—
2500	C₄	—	106	4	no	—
2501	C₄	—	106	2	no	—
2502	C₄	—	106	2	no	—
2503	C₄	—	106	4	no	—
2504	C₄	—	106	2	no	—
2505	C₄	—	106	2	no	—
2506	C₄	C₂×#13133262	1	2	yes	—
2507	C₄	C₂×#13133262	1	2	yes	—
2508	C₂	—	2	2	no	—
2509	C₂	—	4	1	no	—
2510	C₂	—	4	1	no	—
2511	C₂	—	4	1	no	—
2512	C₂	—	4	1	no	—
2513	C₂	—	4	4	no	—
2514	C₂	—	4	1	no	—
2515	C₂	—	4	1	no	—
2516	C₂	—	106	4	no	—
2517	C₂	—	212	4	no	—
2518	C₂	—	212	2	no	—
2519	C₂	C₂²×#13133262	1	1	yes	characteristic
2520	C₂	#585×D₅₃	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₅₃×#3449	C₂
hypercenter	#3449	D₅₃
hypocenter	C₅₃	#62729
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #3449

Complements

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

N	H ≅ G/N	type
1. #20289033	C₂	semidirect
2. #20289019	C₂	semidirect
3. #20289010	C₂	semidirect
4. #20288996	C₂	semidirect
5. #20288992	C₂	semidirect
6. #20288981	C₂	semidirect
7. #20288968	C₂	semidirect
8. #20288958	C₂	semidirect
9. #20288948	C₂	semidirect
10. #20288933	C₂	semidirect
11. #20288914	C₂	semidirect
12. #20288895	C₂	semidirect
13. #20288888	C₂	semidirect
14. #20288876	C₂	semidirect
15. #20288869	C₂	semidirect
16. #20288867	C₂	semidirect
17. #20288853	C₂	semidirect
18. #20288851	C₂	semidirect
19. #20288323	C₂	semidirect
20. #20288317	C₂	semidirect
21. #20288275	C₂	semidirect
22. #20288269	C₂	semidirect
23. #41×C₂²⋊D₅₃	C₂	semidirect
24. #20288198	C₂	semidirect
25. #20288129	C₂	semidirect
26. #20288122	C₂	semidirect
27. #20288103	C₂	semidirect
28. #20288044	C₂	semidirect
29. C₂×#16811130	C₂	semidirect
30. #525×D₅₃	C₂	semidirect
31. C₅₃×#3449	C₂	semidirect
32. C₂²×#11719945	C₂²	semidirect
33. C₂×#41×D₅₃	C₂²	semidirect
34. C₂³×C₄×D₅₃	C₂²	semidirect
35. #16811376	C₂²	semidirect
36. #16811374	C₂²	semidirect
37. #16811373	C₂²	semidirect
38. #16811372	C₂²	semidirect
39. #16811370	C₂²	semidirect
40. #16811369	C₂²	semidirect
41. #16811368	C₂²	semidirect
42. #16811368	C₂²	semidirect
43. #16811368	C₂²	semidirect
44. #16811367	C₂²	semidirect
45. #16811366	C₂²	semidirect
46. #16811365	C₂²	semidirect
47. #16811363	C₂²	semidirect
48. #16811362	C₂²	semidirect
49. #16811362	C₂²	semidirect
50. #16811361	C₂²	semidirect
51. #16811361	C₂²	semidirect
52. #16811361	C₂²	semidirect
53. #16811360	C₂²	semidirect
54. #16811360	C₂²	semidirect
55. #16811359	C₂²	semidirect
56. #16811357	C₂²	semidirect
57. #16811344	C₂²	semidirect
58. #16811341	C₂²	semidirect
59. #16811337	C₂²	semidirect
60. #16811336	C₂²	semidirect
61. #16811334	C₂²	semidirect
62. #16811331	C₂²	semidirect
63. #16811328	C₂²	semidirect
64. #16811327	C₂²	semidirect
65. #16811325	C₂²	semidirect
66. #16811321	C₂²	semidirect
67. #16811320	C₂²	semidirect
68. #16811320	C₂²	semidirect
69. #16811320	C₂²	semidirect
70. #16811318	C₂²	semidirect
71. #16811317	C₂²	semidirect
72. #16811316	C₂²	semidirect
73. #16811315	C₂²	semidirect
74. #16811312	C₂²	semidirect
75. #16811310	C₂²	semidirect
76. #16811308	C₂²	semidirect
77. #16811307	C₂²	semidirect
78. #16811306	C₂²	semidirect
79. #16811304	C₂²	semidirect
80. #16811304	C₂²	semidirect
81. #16811303	C₂²	semidirect
82. #16811303	C₂²	semidirect
83. #16811303	C₂²	semidirect
84. #16811301	C₂²	semidirect
85. #16811300	C₂²	semidirect
86. #16811299	C₂²	semidirect
87. #16811297	C₂²	semidirect
88. #16811296	C₂²	semidirect
89. #16811292	C₂²	semidirect
90. #16811291	C₂²	semidirect
91. Q₈×C₂²⋊D₅₃	C₂²	semidirect
92. #16811286	C₂²	semidirect
93. #16811284	C₂²	semidirect
94. #16811283	C₂²	semidirect
95. #16811280	C₂²	semidirect
96. #16811279	C₂²	semidirect
97. #16811275	C₂²	semidirect
98. #16811274	C₂²	semidirect
99. #16811273	C₂²	semidirect
100. #16811272	C₂²	semidirect
101. #16811272	C₂²	semidirect
102. #16811271	C₂²	semidirect
103. #16811270	C₂²	semidirect
104. #16811270	C₂²	semidirect
105. #16811270	C₂²	semidirect
106. #16811267	C₂²	semidirect
107. #16811267	C₂²	semidirect
108. #16811265	C₂²	semidirect
109. #16811264	C₂²	semidirect
110. #16811263	C₂²	semidirect
111. #16811262	C₂²	semidirect
112. #16811261	C₂²	semidirect
113. #16811261	C₂²	semidirect
114. #16811260	C₂²	semidirect
115. #16811260	C₂²	semidirect
116. #16811260	C₂²	semidirect
117. #16811258	C₂²	semidirect
118. #16811257	C₂²	semidirect
119. D₄×C₂²⋊D₅₃	C₂²	semidirect
120. D₄×C₂²⋊D₅₃	C₂²	semidirect
121. #16811255	C₂²	semidirect
122. #16811255	C₂²	semidirect
123. #16811250	C₂²	semidirect
124. #16811248	C₂²	semidirect
125. #16811247	C₂²	semidirect
126. #16811246	C₂²	semidirect
127. #16811246	C₂²	semidirect
128. #16811240	C₂²	semidirect
129. #16811240	C₂²	semidirect
130. #16811240	C₂²	semidirect
131. #16811237	C₂²	semidirect
132. #16811237	C₂²	semidirect
133. #16811233	C₂²	semidirect
134. #16811233	C₂²	semidirect
135. #16811227	C₂²	semidirect
136. #16811226	C₂²	semidirect
137. #16811226	C₂²	semidirect
138. #16811226	C₂²	semidirect
139. #16811223	C₂²	semidirect
140. #16811223	C₂²	semidirect
141. #16811222	C₂²	semidirect
142. #16811219	C₂²	semidirect
143. #16811219	C₂²	semidirect
144. #16811218	C₂²	semidirect
145. #16811217	C₂²	semidirect
146. #16811217	C₂²	semidirect
147. #16811216	C₂²	semidirect
148. #16811216	C₂²	semidirect
149. #16811209	C₂²	semidirect
150. #16811209	C₂²	semidirect
151. #16811208	C₂²	semidirect
152. #16811208	C₂²	semidirect
153. #16811208	C₂²	semidirect
154. #16811208	C₂²	semidirect
155. #16811207	C₂²	semidirect
156. #16811207	C₂²	semidirect
157. #16811205	C₂²	semidirect
158. #16811205	C₂²	semidirect
159. #16811205	C₂²	semidirect
160. #16811205	C₂²	semidirect
161. #16811202	C₂²	semidirect
162. #16811201	C₂²	semidirect
163. #16811201	C₂²	semidirect
164. #16811197	C₂²	semidirect
165. #16811194	C₂²	semidirect
166. #16811194	C₂²	semidirect
167. #16811190	C₂²	semidirect
168. #16811189	C₂²	semidirect
169. #16811187	C₂²	semidirect
170. #16811187	C₂²	semidirect
171. #16811186	C₂²	semidirect
172. #16811183	C₂²	semidirect
173. #16811183	C₂²	semidirect
174. #16811182	C₂²	semidirect
175. #16811182	C₂²	semidirect
176. #16811181	C₂²	semidirect
177. #16811176	C₂²	semidirect
178. #16811170	C₂²	semidirect
179. #16811169	C₂²	semidirect
180. #16811169	C₂²	semidirect
181. #16811169	C₂²	semidirect
182. #16811169	C₂²	semidirect
183. #16811157	C₂²	semidirect
184. #16811155	C₂²	semidirect
185. #16811155	C₂²	semidirect
186. #16811155	C₂²	semidirect
187. #16811153	C₂²	semidirect
188. #16811153	C₂²	semidirect
189. #16811153	C₂²	semidirect
190. #16811153	C₂²	semidirect
191. #16811151	C₂²	semidirect
192. #16811151	C₂²	semidirect
193. #16811136	C₂²	semidirect
194. #16811136	C₂²	semidirect
195. #16811135	C₂²	semidirect
196. #16811134	C₂²	semidirect
197. #16811134	C₂²	semidirect
198. #16811134	C₂²	semidirect
199. #16811133	C₂²	semidirect
200. #16811133	C₂²	semidirect
201. #16811132	C₂²	semidirect
202. #16811132	C₂²	semidirect
203. #16811132	C₂²	semidirect
204. #16811132	C₂²	semidirect
205. #16811131	C₂²	semidirect
207. #16811130	C₂²	semidirect
208. #16811130	C₂²	semidirect
209. #16811130	C₂²	semidirect
210. #16811130	C₂²	semidirect
211. #16811130	C₂²	semidirect
212. #16811130	C₂²	semidirect
213. #16811130	C₂²	semidirect
214. #16811130	C₂²	semidirect
215. #16811130	C₂²	semidirect
216. #16811130	C₂²	semidirect
217. #16811130	C₂²	semidirect
218. #16811130	C₂²	semidirect
219. #16811130	C₂²	semidirect
220. #16811130	C₂²	semidirect
221. #16811130	C₂²	semidirect
222. #16811129	C₂²	semidirect
223. C₂×#13133198	C₂²	semidirect
224. C₂×#13133198	C₂²	semidirect
225. #123×D₅₃	C₂²	semidirect
226. C₂×#13133193	C₂²	semidirect
227. C₂²⋊Q₈×D₅₃	C₂²	semidirect
228. C₂²⋊Q₈×D₅₃	C₂²	semidirect
229. C₂×#13133188	C₂²	semidirect
230. #121×D₅₃	C₂²	semidirect
231. #121×D₅₃	C₂²	semidirect
232. C₂×#13133185	C₂²	semidirect
233. C₂×#13133185	C₂²	semidirect
234. #120×D₅₃	C₂²	semidirect
235. #41×Dic₅₃	C₂²	semidirect
236. C₄×#11719945	C₂²	semidirect
237. #16811091	C₂²	semidirect
238. C₄×#11719947	C₂²	semidirect
239. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
240. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
241. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
242. C₄×D₄×D₅₃	C₂²	semidirect
243. C₄×D₄×D₅₃	C₂²	semidirect
244. C₄×D₄×D₅₃	C₂²	semidirect
245. C₂×#13133176	C₂²	semidirect
246. C₂×#13133176	C₂²	semidirect
247. #117×D₅₃	C₂²	semidirect
248. C₂²×#41×C₅₃	C₂²	semidirect
249. C₂²×#41×C₅₃	C₂²	semidirect
250. C₅₃×#537	C₂²	semidirect
251. C₅₃×#537	C₂²	semidirect
252. C₅₃×#536	C₂²	semidirect
253. C₅₃×#536	C₂²	semidirect
254. C₅₃×#536	C₂²	semidirect
255. C₅₃×#535	C₂²	semidirect
256. C₅₃×#535	C₂²	semidirect
257. C₅₃×#535	C₂²	semidirect
258. C₅₃×#534	C₂²	semidirect
259. C₅₃×#534	C₂²	semidirect
260. C₅₃×#532	C₂²	semidirect
261. C₅₃×#532	C₂²	semidirect
262. C₅₃×#525	C₂²	semidirect
263. C₅₃×#525	C₂²	semidirect
264. C₅₃×#525	C₂²	semidirect
265. C₅₃×#525	C₂²	semidirect
266. C₂×#117×C₅₃	C₂²	semidirect
274. C₂×#11719945	C₂³	semidirect
275. C₂×#11719945	C₂³	semidirect
280. C₂²×Dic₁₀₆	C₂³	semidirect
282. C₂²×D₂₁₂	C₂³	semidirect
303. C₂²×C₄×D₅₃	C₂³	semidirect
304. #13133216	C₂³	semidirect
305. #13133216	C₂³	semidirect
306. #13133216	C₂³	semidirect
307. #13133215	C₂³	semidirect
308. #13133215	C₂³	semidirect
309. #13133215	C₂³	semidirect
310. #13133215	C₂³	semidirect
315. #13133213	C₂³	semidirect
319. #13133212	C₂³	semidirect
320. #13133212	C₂³	semidirect
321. #13133212	C₂³	semidirect
323. #13133211	C₂³	semidirect
328. #13133210	C₂³	semidirect
329. #13133210	C₂³	semidirect
330. #13133210	C₂³	semidirect
331. #13133210	C₂³	semidirect
332. #13133210	C₂³	semidirect
333. #13133210	C₂³	semidirect
334. #13133210	C₂³	semidirect
335. #13133210	C₂³	semidirect
336. #13133209	C₂³	semidirect
337. #13133208	C₂³	semidirect
338. #13133208	C₂³	semidirect
339. #13133208	C₂³	semidirect
340. #13133208	C₂³	semidirect
341. #13133208	C₂³	semidirect
342. #13133207	C₂³	semidirect
343. #13133207	C₂³	semidirect
344. #13133207	C₂³	semidirect
345. #13133207	C₂³	semidirect
346. #13133207	C₂³	semidirect
347. #13133207	C₂³	semidirect
349. #13133206	C₂³	semidirect
350. #13133206	C₂³	semidirect
351. #13133206	C₂³	semidirect
357. #13133204	C₂³	semidirect
358. #13133204	C₂³	semidirect
359. #13133204	C₂³	semidirect
366. #13133203	C₂³	semidirect
367. #13133203	C₂³	semidirect
373. #13133202	C₂³	semidirect
377. #13133201	C₂³	semidirect
378. #13133201	C₂³	semidirect
383. #13133200	C₂³	semidirect
384. #13133200	C₂³	semidirect
392. #13133199	C₂³	semidirect
393. #13133199	C₂³	semidirect
394. #13133199	C₂³	semidirect
395. #13133199	C₂³	semidirect
396. #13133199	C₂³	semidirect
414. #13133198	C₂³	semidirect
415. #13133198	C₂³	semidirect
416. #13133198	C₂³	semidirect
417. #13133198	C₂³	semidirect
418. #13133198	C₂³	semidirect
419. #13133198	C₂³	semidirect
423. #13133197	C₂³	semidirect
424. #13133197	C₂³	semidirect
427. #13133196	C₂³	semidirect
428. #13133196	C₂³	semidirect
429. #13133196	C₂³	semidirect
430. #13133196	C₂³	semidirect
431. #13133196	C₂³	semidirect
436. #13133195	C₂³	semidirect
437. #13133195	C₂³	semidirect
442. #13133194	C₂³	semidirect
443. #13133194	C₂³	semidirect
444. #13133194	C₂³	semidirect
445. #13133194	C₂³	semidirect
446. #13133194	C₂³	semidirect
447. #13133194	C₂³	semidirect
459. #13133193	C₂³	semidirect
460. #13133193	C₂³	semidirect
461. #13133193	C₂³	semidirect
470. #13133191	C₂³	semidirect
471. #13133191	C₂³	semidirect
479. #13133190	C₂³	semidirect
493. #13133189	C₂³	semidirect
494. #13133189	C₂³	semidirect
495. #13133189	C₂³	semidirect
496. #13133189	C₂³	semidirect
497. #13133189	C₂³	semidirect
514. #13133188	C₂³	semidirect
515. #13133188	C₂³	semidirect
524. #13133186	C₂³	semidirect
545. #13133185	C₂³	semidirect
546. #13133185	C₂³	semidirect
547. #13133185	C₂³	semidirect
548. Q₈×Dic₅₃	C₂³	semidirect
549. Q₈×Dic₅₃	C₂³	semidirect
550. C₄×Dic₁₀₆	C₂³	semidirect
551. C₄×Dic₁₀₆	C₂³	semidirect
552. C₄×Dic₁₀₆	C₂³	semidirect
553. #13133182	C₂³	semidirect
554. #13133182	C₂³	semidirect
555. #13133182	C₂³	semidirect
563. D₄×Dic₅₃	C₂³	semidirect
564. D₄×Dic₅₃	C₂³	semidirect
565. D₄×Dic₅₃	C₂³	semidirect
566. D₄×Dic₅₃	C₂³	semidirect
570. #13133179	C₂³	semidirect
571. #13133179	C₂³	semidirect
595. C₄×C₂²⋊D₅₃	C₂³	semidirect
596. C₄×C₂²⋊D₅₃	C₂³	semidirect
597. C₄×C₂²⋊D₅₃	C₂³	semidirect
598. C₄×C₂²⋊D₅₃	C₂³	semidirect
599. C₄×C₂²⋊D₅₃	C₂³	semidirect
600. C₄×C₂²⋊D₅₃	C₂³	semidirect
601. C₄×C₂²⋊D₅₃	C₂³	semidirect
611. #13133177	C₂³	semidirect
620. #13133176	C₂³	semidirect
621. #13133176	C₂³	semidirect
622. #13133176	C₂³	semidirect
623. #13133176	C₂³	semidirect
624. #13133176	C₂³	semidirect
630. #13133174	C₂³	semidirect
631. #13133174	C₂³	semidirect
633. #13133173	C₂³	semidirect
634. #13133173	C₂³	semidirect
636. C₂×C₄⋊Dic₅₃	C₂³	semidirect
639. C₂×#11719919	C₂³	semidirect
644. C₄⋊C₄×D₅₃	C₂³	semidirect
650. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
660. C₂²⋊C₄×D₅₃	C₂³	semidirect
662. C₂×C₄×Dic₅₃	C₂³	semidirect
663. C₂×C₄×Dic₅₃	C₂³	semidirect
665. C₄²×D₅₃	C₂³	semidirect
678. C₂×#41×C₅₃	C₂³	semidirect
679. C₂×#41×C₅₃	C₂³	semidirect
681. C₂²×Q₈×C₅₃	C₂³	semidirect
686. C₂²×D₄×C₅₃	C₂³	semidirect
690. C₂³×C₄×C₅₃	C₂³	semidirect
691. C₄⋊Q₈×C₅₃	C₂³	semidirect
692. C₄⋊Q₈×C₅₃	C₂³	semidirect
697. #124×C₅₃	C₂³	semidirect
698. #124×C₅₃	C₂³	semidirect
703. #123×C₅₃	C₂³	semidirect
704. #123×C₅₃	C₂³	semidirect
707. C₂²⋊Q₈×C₅₃	C₂³	semidirect
708. C₂²⋊Q₈×C₅₃	C₂³	semidirect
709. C₂²⋊Q₈×C₅₃	C₂³	semidirect
710. C₂²⋊Q₈×C₅₃	C₂³	semidirect
717. #121×C₅₃	C₂³	semidirect
718. #121×C₅₃	C₂³	semidirect
719. #121×C₅₃	C₂³	semidirect
720. #121×C₅₃	C₂³	semidirect
725. #120×C₅₃	C₂³	semidirect
726. #120×C₅₃	C₂³	semidirect
729. C₄×D₄×C₅₃	C₂³	semidirect
730. C₄×D₄×C₅₃	C₂³	semidirect
733. #117×C₅₃	C₂³	semidirect
734. #117×C₅₃	C₂³	semidirect
735. #117×C₅₃	C₂³	semidirect
736. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
738. C₂×C₄²×C₅₃	C₂³	semidirect
1276. #3449	D₅₃	semidirect
1294. C₂²×#41	C₂×D₅₃	semidirect
1295. C₂²×#41	C₂×D₅₃	semidirect
1426. #537	C₂×D₅₃	semidirect
1427. #537	C₂×D₅₃	semidirect
1431. #536	C₂×D₅₃	semidirect
1432. #536	C₂×D₅₃	semidirect
1433. #536	C₂×D₅₃	semidirect
1439. #535	C₂×D₅₃	semidirect
1440. #535	C₂×D₅₃	semidirect
1441. #535	C₂×D₅₃	semidirect
1447. #534	C₂×D₅₃	semidirect
1448. #534	C₂×D₅₃	semidirect
1455. #532	C₂×D₅₃	semidirect
1456. #532	C₂×D₅₃	semidirect
1497. #525	C₂×D₅₃	semidirect
1498. #525	C₂×D₅₃	semidirect
1499. #525	C₂×D₅₃	semidirect
1500. #525	C₂×D₅₃	semidirect
1526. C₂×#117	C₂×D₅₃	semidirect
1527. C₅₃	#62729	semidirect
1553. C₂×#41	C₂²×D₅₃	semidirect
1554. C₂×#41	C₂²×D₅₃	semidirect
1558. C₂²×Q₈	C₂²×D₅₃	semidirect
1573. C₂²×D₄	C₂²×D₅₃	semidirect
1589. C₂³×C₄	C₂²×D₅₃	semidirect
1597. C₄⋊Q₈	C₂²×D₅₃	semidirect
1598. C₄⋊Q₈	C₂²×D₅₃	semidirect
1660. #124	C₂²×D₅₃	semidirect
1661. #124	C₂²×D₅₃	semidirect
1718. #123	C₂²×D₅₃	semidirect
1719. #123	C₂²×D₅₃	semidirect
1764. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1765. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1766. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1767. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1828. #121	C₂²×D₅₃	semidirect
1829. #121	C₂²×D₅₃	semidirect
1830. #121	C₂²×D₅₃	semidirect
1831. #121	C₂²×D₅₃	semidirect
1868. #120	C₂²×D₅₃	semidirect
1869. #120	C₂²×D₅₃	semidirect
1936. C₄×D₄	C₂²×D₅₃	semidirect
1937. C₄×D₄	C₂²×D₅₃	semidirect
1963. #117	C₂²×D₅₃	semidirect
1964. #117	C₂²×D₅₃	semidirect
1965. #117	C₂²×D₅₃	semidirect
1976. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1999. 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
#20289033	2
#20289019	2
#20289010	2
#20288996	2
#20288992	2
#20288981	2
#20288968	2
#20288958	2
#20288948	2
#20288933	2
#20288914	2
#20288895	2
#20288888	2
#20288876	2
#20288869	2
#20288867	2
#20288853	2
#20288851	2
#20288323	2
#20288317	2
#20288275	2
#20288269	2
#41×C₂²⋊D₅₃	2
#20288198	2
#20288129	2
#20288122	2
#20288103	2
#20288044	2
C₂×#16811130	2
#525×D₅₃	2
C₅₃×#3449	2
#62729	53