Subgroups — #16808619

Order 3328.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131676	C₂	1	1	yes	maximal, characteristic, complemented
2	#13131675	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131671	C₂	1	1	yes	maximal, characteristic, complemented
4	#13131670	C₂	1	1	yes	maximal, characteristic, complemented
5	#13131666	C₂	1	1	yes	maximal, characteristic, complemented
6	#13131665	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131663	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131661	C₂	1	1	yes	maximal, characteristic, complemented
9	#13131660	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131659	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131658	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131655	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131654	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131651	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131647	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131646	C₂	1	1	yes	maximal, characteristic, complemented
17	#13131637	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719078	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131580	C₂	1	1	yes	maximal, characteristic, complemented
20	#13131580	C₂	1	1	yes	maximal, characteristic, complemented
21	#13131578	C₂	1	1	yes	maximal, characteristic, complemented
22	#13131564	C₂	1	1	yes	maximal, characteristic, complemented
23	#13131564	C₂	1	1	yes	maximal, characteristic, complemented
24	#13131559	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131534	C₂	1	1	yes	maximal, characteristic, complemented
26	#13131534	C₂	1	1	yes	maximal, characteristic, complemented
27	#13131531	C₂	1	1	yes	maximal, characteristic, complemented
28	#13131407	C₂	1	1	yes	maximal, characteristic, complemented
29	#13131407	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88238	C₂	1	1	yes	maximal, characteristic, complemented
31	#13128430	C₂	1	1	yes	maximal, characteristic
32	C₂×#88238	C₂²	1	1	yes	characteristic
33	C₂×#88238	C₂²	1	1	yes	characteristic
34	C₂×#88238	C₂²	1	1	yes	characteristic
35	C₂×#88238	C₂²	1	1	yes	characteristic
36	C₂×#88238	C₂²	1	1	yes	characteristic
37	C₂×#88238	C₂²	1	1	yes	characteristic
38	C₁₃×#553	C₄	1	1	yes	characteristic
39	#11719411	C₂²	1	1	yes	characteristic
40	#11719411	C₂²	1	1	yes	characteristic
41	#11719407	C₄	1	1	yes	characteristic
42	#11719407	C₄	1	1	yes	characteristic
43	#11719396	C₂²	1	1	yes	characteristic
44	#11719390	C₄	1	1	yes	characteristic
45	#11719369	C₄	1	1	yes	characteristic
46	#11719369	C₄	1	1	yes	characteristic
47	#11719354	C₂²	1	1	yes	characteristic
48	#11719354	C₂²	1	1	yes	characteristic
49	#11719306	C₄	1	1	yes	characteristic
50	#11719306	C₄	1	1	yes	characteristic
51	#11719305	C₂²	1	1	yes	characteristic
52	#11719304	C₄	1	1	yes	characteristic
53	#11719303	C₄	1	1	yes	characteristic
54	#11719301	C₂²	1	1	yes	characteristic
55	#11719301	C₂²	1	1	yes	characteristic
56	#11719301	C₂²	1	1	yes	characteristic
57	#11719264	C₄	1	1	yes	characteristic
58	#11719257	C₄	1	1	yes	characteristic
59	#11719245	C₄	1	1	yes	characteristic
60	#11719245	C₄	1	1	yes	characteristic
61	C₄×#6129	C₂²	1	1	yes	characteristic
62	C₄×#6129	C₂²	1	1	yes	characteristic
63	C₄×#6129	C₂²	1	1	yes	characteristic
64	C₄×#6129	C₂²	1	1	yes	characteristic
65	#11719238	C₄	1	1	yes	characteristic
66	#11719227	C₂²	1	1	yes	characteristic
67	#11719219	C₄	1	1	yes	characteristic
68	C₂×#88141	C₂²	1	1	yes	characteristic
69	#11719146	C₂²	1	1	yes	characteristic
70	#11719146	C₂²	1	1	yes	characteristic
71	#11719146	C₂²	1	1	yes	characteristic
72	#11719146	C₂²	1	1	yes	characteristic
73	#11719146	C₂²	1	1	yes	characteristic
74	#11719146	C₂²	1	1	yes	characteristic
75	#11719145	C₂²	1	1	yes	characteristic
76	#11719145	C₂²	1	1	yes	characteristic
77	#11719144	C₂²	1	1	yes	characteristic
78	#11719144	C₂²	1	1	yes	characteristic
79	#11719144	C₂²	1	1	yes	characteristic
80	#11719144	C₂²	1	1	yes	characteristic
81	#11719144	C₂²	1	1	yes	characteristic
82	#11719144	C₂²	1	1	yes	characteristic
83	#11719144	C₂²	1	1	yes	characteristic
84	#11719144	C₂²	1	1	yes	characteristic
85	D₄×#1057	C₂²	1	1	yes	characteristic
86	D₄×#1057	C₂²	1	1	yes	characteristic
87	#11719130	C₂²	1	1	yes	characteristic
88	#11719129	C₂²	1	1	yes	characteristic
89	#11719129	C₂²	1	1	yes	characteristic
90	#11719129	C₂²	1	1	yes	characteristic
91	#11719128	C₂²	1	1	yes	characteristic
92	#11719128	C₂²	1	1	yes	characteristic
93	#11719125	C₂²	1	1	yes	characteristic
94	#11719125	C₂²	1	1	yes	characteristic
95	C₂×#88112	C₂²	1	1	yes	characteristic
96	C₂×#88112	C₂²	1	1	yes	characteristic
97	C₄×#6122	C₂²	1	1	yes	characteristic
98	C₄×#6122	C₂²	1	1	yes	characteristic
99	C₄×#6122	C₂²	1	1	yes	characteristic
100	C₄×#6122	C₂²	1	1	yes	characteristic
101	C₄×#6122	C₂²	1	1	yes	characteristic
102	C₄×#6122	C₂²	1	1	yes	characteristic
103	C₂×#88110	C₂²	1	1	yes	characteristic
104	C₂×#88110	C₂²	1	1	yes	characteristic
105	C₂×#88110	C₂²	1	1	yes	characteristic
106	C₂×#88110	C₂²	1	1	yes	characteristic
107	#11719119	C₂²	1	1	yes	characteristic
108	C₂×C₄⋊#1057	C₂²	1	1	yes	characteristic
109	C₂×C₄×#1057	C₂²	1	1	yes	characteristic
110	C₂×C₄×#1057	C₂²	1	1	yes	characteristic
111	#11719080	C₂²	1	1	yes	characteristic
112	#11719080	C₂²	1	1	yes	characteristic
113	#11719078	C₂²	1	1	yes	characteristic
114	#11719078	C₂²	1	1	yes	characteristic
115	#11719078	C₂²	1	1	yes	characteristic
116	#11719078	C₂²	1	1	yes	characteristic
117	#11719078	C₂²	1	1	yes	characteristic
118	#11719078	C₂²	1	1	yes	characteristic
119	#11719078	C₂²	1	1	yes	characteristic
120	#11719078	C₂²	1	1	yes	characteristic
121	#11719078	C₂²	1	1	yes	characteristic
122	#11719078	C₂²	1	1	yes	characteristic
123	#11719078	C₂²	1	1	yes	characteristic
124	#11719078	C₂²	1	1	yes	characteristic
125	#11719077	C₂²	1	1	yes	characteristic
126	#11719077	C₂²	1	1	yes	characteristic
127	#11719077	C₂²	1	1	yes	characteristic
128	#11719077	C₂²	1	1	yes	characteristic
129	#11719077	C₂²	1	1	yes	characteristic
130	#11719077	C₂²	1	1	yes	characteristic
131	#11719076	C₂²	1	1	yes	characteristic
132	#11719076	C₂²	1	1	yes	characteristic
133	#11719075	C₂²	1	1	yes	characteristic
134	#11719075	C₂²	1	1	yes	characteristic
135	#11719075	C₂²	1	1	yes	characteristic
136	#11719075	C₂²	1	1	yes	characteristic
137	#11719075	C₂²	1	1	yes	characteristic
138	#11719075	C₂²	1	1	yes	characteristic
139	#11719075	C₂²	1	1	yes	characteristic
140	#11719075	C₂²	1	1	yes	characteristic
141	#11719074	C₂²	1	1	yes	characteristic
142	#11719074	C₂²	1	1	yes	characteristic
143	#11719073	C₂²	1	1	yes	characteristic
144	#11719073	C₂²	1	1	yes	characteristic
145	#11719072	C₂²	1	1	yes	characteristic
146	#11719072	C₂²	1	1	yes	characteristic
147	#11719072	C₂²	1	1	yes	characteristic
148	#11719072	C₂²	1	1	yes	characteristic
149	#11719072	C₂²	1	1	yes	characteristic
150	#11719072	C₂²	1	1	yes	characteristic
151	#11719068	C₂²	1	1	yes	characteristic
152	#11719068	C₂²	1	1	yes	characteristic
153	#11719068	C₂²	1	1	yes	characteristic
154	#11719068	C₂²	1	1	yes	characteristic
155	#11719068	C₂²	1	1	yes	characteristic
156	#11719068	C₂²	1	1	yes	characteristic
157	#11719066	C₂²	1	1	yes	characteristic
158	#11719066	C₂²	1	1	yes	characteristic
159	#11719066	C₂²	1	1	yes	characteristic
160	#11719066	C₂²	1	1	yes	characteristic
161	#11719066	C₂²	1	1	yes	characteristic
162	#11719066	C₂²	1	1	yes	characteristic
163	#11719065	C₂²	1	1	yes	characteristic
164	#11719065	C₂²	1	1	yes	characteristic
165	#11719065	C₂²	1	1	yes	characteristic
166	#11719065	C₂²	1	1	yes	characteristic
167	#11719065	C₂²	1	1	yes	characteristic
168	#11719065	C₂²	1	1	yes	characteristic
169	#11719064	C₂²	1	1	yes	characteristic
170	#11719064	C₂²	1	1	yes	characteristic
171	#11719064	C₂²	1	1	yes	characteristic
172	#11719064	C₂²	1	1	yes	characteristic
173	#11719064	C₂²	1	1	yes	characteristic
174	#11719064	C₂²	1	1	yes	characteristic
175	#11719063	C₂²	1	1	yes	characteristic
176	#11719063	C₂²	1	1	yes	characteristic
177	#11719063	C₂²	1	1	yes	characteristic
178	#11719063	C₂²	1	1	yes	characteristic
179	#11719063	C₂²	1	1	yes	characteristic
180	#11719063	C₂²	1	1	yes	characteristic
181	#11719062	C₂²	1	1	yes	characteristic
182	#11719062	C₂²	1	1	yes	characteristic
183	#11719062	C₂²	1	1	yes	characteristic
184	#11719062	C₂²	1	1	yes	characteristic
185	#11719062	C₂²	1	1	yes	characteristic
186	#11719062	C₂²	1	1	yes	characteristic
187	#11719062	C₂²	1	1	yes	characteristic
188	#11719062	C₂²	1	1	yes	characteristic
189	#11719062	C₂²	1	1	yes	characteristic
190	#11719062	C₂²	1	1	yes	characteristic
191	#11719055	C₂²	1	1	yes	characteristic
192	#11719055	C₂²	1	1	yes	characteristic
193	#11719054	C₂²	1	1	yes	characteristic
194	#11719051	C₂²	1	1	yes	characteristic
195	#11719049	C₂²	1	1	yes	characteristic
196	#11719049	C₂²	1	1	yes	characteristic
197	C₄×#6118	C₂²	1	1	yes	characteristic
198	C₄×#6118	C₂²	1	1	yes	characteristic
199	C₄×#6118	C₂²	1	1	yes	characteristic
200	#11719047	C₂²	1	1	yes	characteristic
201	#11719047	C₂²	1	1	yes	characteristic
202	C₄×D₁₃⋊C₈	C₂²	1	1	yes	characteristic
203	C₂×#6129	C₂×C₄	1	1	yes	characteristic
204	C₂×#6129	C₂³	1	1	yes	characteristic
205	C₂×#6129	C₂³	1	1	yes	characteristic
206	C₂×#6129	C₂³	1	1	yes	characteristic
207	C₂×#6127	C₂×C₄	1	1	yes	characteristic
208	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
209	C₂×#6122	C₂³	1	1	yes	characteristic
210	C₂×#6122	C₂³	1	1	yes	characteristic
211	C₂×#6122	C₂³	1	1	yes	characteristic
212	C₂×#6122	C₂³	1	1	yes	characteristic
213	C₂×#6122	C₂³	1	1	yes	characteristic
214	C₂×#6122	C₂³	1	1	yes	characteristic
215	C₂×#6122	C₂³	1	1	yes	characteristic
216	C₂×#6122	C₂³	1	1	yes	characteristic
217	C₂×#6122	C₂³	1	1	yes	characteristic
218	C₂×#6122	C₂³	1	1	yes	characteristic
219	C₂²×#1057	C₂³	1	1	yes	characteristic
220	C₂²×#1057	C₂³	1	1	yes	characteristic
221	C₂²×#1057	C₂³	1	1	yes	characteristic
222	C₂²×#1057	C₂³	1	1	yes	characteristic
223	C₂²×#1057	C₂³	1	1	yes	characteristic
224	C₂²×#1057	C₂³	1	1	yes	characteristic
225	C₂²×#1057	C₂³	1	1	yes	characteristic
226	C₂²×#1057	C₂³	1	1	yes	characteristic
227	C₂²×#1057	C₂³	1	1	yes	characteristic
228	C₂²×#1057	C₂³	1	1	yes	characteristic
229	#88238	—	2	4	no	—
230	#88238	—	2	4	no	—
231	#88238	—	2	4	no	—
232	#88238	—	2	4	no	—
233	#88238	—	2	4	no	—
234	#88238	—	2	4	no	—
235	C₂×#6118	C₂³	1	1	yes	characteristic
236	C₂×#6118	C₂³	1	1	yes	characteristic
237	C₂×#6118	C₂³	1	1	yes	characteristic
238	C₂×#6118	C₂³	1	1	yes	characteristic
239	C₂×#6118	C₂³	1	1	yes	characteristic
240	C₂×#6118	C₂³	1	1	yes	characteristic
241	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
242	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
243	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
244	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
245	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
246	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
247	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
248	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
249	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
250	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
251	C₁₃×#123	C₂×C₄	1	1	yes	characteristic
252	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
253	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
254	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
255	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
256	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
260	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
262	#88194	C₂×C₄	1	1	yes	characteristic
263	#88194	C₂×C₄	1	1	yes	characteristic
264	#88194	C₂×C₄	1	1	yes	characteristic
265	#88193	C₂×C₄	1	1	yes	characteristic
266	#88193	C₂×C₄	1	1	yes	characteristic
267	#88193	C₂×C₄	1	1	yes	characteristic
268	#88193	C₂×C₄	1	1	yes	characteristic
269	#88193	C₂×C₄	1	1	yes	characteristic
270	#88193	C₂×C₄	1	1	yes	characteristic
271	#88193	C₂×C₄	1	1	yes	characteristic
272	#88193	C₂×C₄	1	1	yes	characteristic
273	#88190	C₂×C₄	1	1	yes	characteristic
274	#88189	C₂×C₄	1	1	yes	characteristic
275	#88189	C₂×C₄	1	1	yes	characteristic
276	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
277	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
278	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
279	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	#88184	C₂×C₄	1	1	yes	characteristic
283	#88184	C₂×C₄	1	1	yes	characteristic
284	#88184	C₂×C₄	1	1	yes	characteristic
285	#88183	C₂×C₄	1	1	yes	characteristic
286	#88183	C₂×C₄	1	1	yes	characteristic
287	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
288	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
289	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
290	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
291	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
292	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
293	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
294	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
295	#88178	C₂×C₄	1	1	yes	characteristic
296	C₂×#6101	C₂×C₄	1	1	yes	characteristic
297	C₂×#6101	C₂×C₄	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	#88152	C₂×C₄	1	1	yes	characteristic
305	#88152	C₂×C₄	1	1	yes	characteristic
306	#88152	C₂×C₄	1	1	yes	characteristic
307	#88152	C₂×C₄	1	1	yes	characteristic
308	#88151	C₂×C₄	1	1	yes	characteristic
309	#88150	C₂×C₄	1	1	yes	characteristic
310	#88150	C₂×C₄	1	1	yes	characteristic
311	#88149	C₂×C₄	1	1	yes	characteristic
312	#88148	C₂×C₄	1	1	yes	characteristic
313	#88148	C₂×C₄	1	1	yes	characteristic
314	#88148	C₂×C₄	1	1	yes	characteristic
315	#88148	C₂×C₄	1	1	yes	characteristic
316	#88147	C₂×C₄	1	1	yes	characteristic
317	#88147	C₂³	1	1	yes	characteristic
318	#88147	C₂³	1	1	yes	characteristic
319	#88147	C₂³	1	1	yes	characteristic
320	#88146	C₂×C₄	1	1	yes	characteristic
321	#88146	C₂³	1	1	yes	characteristic
322	#88146	C₂³	1	1	yes	characteristic
323	#88146	C₂³	1	1	yes	characteristic
324	#88144	C₂×C₄	1	1	yes	characteristic
325	#88143	C₂×C₄	1	1	yes	characteristic
326	#88143	C₂×C₄	1	1	yes	characteristic
327	#88143	C₂×C₄	1	1	yes	characteristic
328	#88143	C₂×C₄	1	1	yes	characteristic
329	#88142	C₂×C₄	1	1	yes	characteristic
330	#88142	C₂×C₄	1	1	yes	characteristic
331	#88142	C₂×C₄	1	1	yes	characteristic
332	#88141	C₂×C₄	1	1	yes	characteristic
333	#88141	C₂×C₄	1	1	yes	characteristic
334	#88141	C₂×C₄	1	1	yes	characteristic
335	#88141	C₂×C₄	1	1	yes	characteristic
336	#88141	C₂×C₄	1	1	yes	characteristic
337	#88141	C₂×C₄	1	1	yes	characteristic
338	#88141	C₂×C₄	1	1	yes	characteristic
339	#88141	C₂×C₄	1	1	yes	characteristic
340	#88141	C₂³	1	1	yes	characteristic
341	#88141	C₂³	1	1	yes	characteristic
342	#88141	C₂³	1	1	yes	characteristic
343	#88141	C₂³	1	1	yes	characteristic
344	#88139	C₂×C₄	1	1	yes	characteristic
345	#88139	C₂×C₄	1	1	yes	characteristic
346	#88139	C₂×C₄	1	1	yes	characteristic
347	#88139	C₂×C₄	1	1	yes	characteristic
348	#88139	C₂×C₄	1	1	yes	characteristic
349	#88139	C₂×C₄	1	1	yes	characteristic
350	#88139	C₂×C₄	1	1	yes	characteristic
351	#88139	C₂×C₄	1	1	yes	characteristic
352	#88139	C₂×C₄	1	1	yes	characteristic
353	#88139	C₂×C₄	1	1	yes	characteristic
354	#88138	C₂×C₄	1	1	yes	characteristic
355	#88138	C₂×C₄	1	1	yes	characteristic
356	#88137	C₂×C₄	1	1	yes	characteristic
357	#88137	C₂×C₄	1	1	yes	characteristic
358	#88135	C₂×C₄	1	1	yes	characteristic
359	#88135	C₂×C₄	1	1	yes	characteristic
360	#88135	C₂×C₄	1	1	yes	characteristic
361	#88135	C₂×C₄	1	1	yes	characteristic
362	#88135	C₂×C₄	1	1	yes	characteristic
363	#88135	C₂×C₄	1	1	yes	characteristic
364	#88135	C₂×C₄	1	1	yes	characteristic
365	#88135	C₂×C₄	1	1	yes	characteristic
366	#88135	C₂³	1	1	yes	characteristic
367	#88135	C₂³	1	1	yes	characteristic
368	#88135	C₂³	1	1	yes	characteristic
369	#88135	C₂³	1	1	yes	characteristic
370	#88135	C₂³	1	1	yes	characteristic
371	#88135	C₂³	1	1	yes	characteristic
372	#88133	C₂×C₄	1	1	yes	characteristic
373	#88133	C₂×C₄	1	1	yes	characteristic
374	#88133	C₂×C₄	1	1	yes	characteristic
375	#88133	C₂×C₄	1	1	yes	characteristic
376	#88132	C₂×C₄	1	1	yes	characteristic
377	#88132	C₂×C₄	1	1	yes	characteristic
378	#88131	C₂×C₄	1	1	yes	characteristic
379	#88131	C₂×C₄	1	1	yes	characteristic
380	#88131	C₂³	1	1	yes	characteristic
381	#88131	C₂³	1	1	yes	characteristic
382	#88131	C₂³	1	1	yes	characteristic
383	#88131	C₂³	1	1	yes	characteristic
384	#88130	C₂×C₄	1	1	yes	characteristic
385	#88130	C₂×C₄	1	1	yes	characteristic
386	#88129	C₂×C₄	1	1	yes	characteristic
387	#88126	C₂×C₄	1	1	yes	characteristic
388	#88126	C₂×C₄	1	1	yes	characteristic
389	C₄²×D₁₃	C₂³	1	1	yes	characteristic
390	C₄²×D₁₃	C₂³	1	1	yes	characteristic
391	C₄²×D₁₃	C₂³	1	1	yes	characteristic
392	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
393	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
394	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
395	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
396	C₂²⋊#1057	C₂³	1	1	yes	characteristic
397	C₂²⋊#1057	C₂³	1	1	yes	characteristic
398	C₂²⋊#1057	C₂³	1	1	yes	characteristic
399	C₂²⋊#1057	C₂³	1	1	yes	characteristic
400	C₂²⋊#1057	C₂³	1	1	yes	characteristic
401	C₂²⋊#1057	C₂³	1	1	yes	characteristic
402	C₂²⋊#1057	C₂³	1	1	yes	characteristic
403	C₂²⋊#1057	C₂³	1	1	yes	characteristic
404	C₂²⋊#1057	C₂³	1	1	yes	characteristic
405	C₂²⋊#1057	C₂³	1	1	yes	characteristic
406	C₂²⋊#1057	C₂³	1	1	yes	characteristic
407	C₂²⋊#1057	C₂³	1	1	yes	characteristic
408	#88112	C₂³	1	1	yes	characteristic
409	#88112	C₂³	1	1	yes	characteristic
410	#88112	C₂³	1	1	yes	characteristic
411	#88112	C₂³	1	1	yes	characteristic
412	#88112	C₂³	1	1	yes	characteristic
413	#88112	C₂³	1	1	yes	characteristic
414	#88112	C₂³	1	1	yes	characteristic
415	#88112	C₂³	1	1	yes	characteristic
416	#88112	C₂³	1	1	yes	characteristic
417	#88112	C₂³	1	1	yes	characteristic
418	#88112	C₂³	1	1	yes	characteristic
419	#88112	C₂³	1	1	yes	characteristic
420	#88112	C₂³	1	1	yes	characteristic
421	#88112	C₂³	1	1	yes	characteristic
422	#88111	C₂³	1	1	yes	characteristic
423	#88111	C₂³	1	1	yes	characteristic
424	#88111	C₂³	1	1	yes	characteristic
425	#88111	C₂³	1	1	yes	characteristic
426	#88111	C₂³	1	1	yes	characteristic
427	#88111	C₂³	1	1	yes	characteristic
428	#88111	C₂³	1	1	yes	characteristic
429	#88111	C₂³	1	1	yes	characteristic
430	#88111	C₂³	1	1	yes	characteristic
431	#88111	C₂³	1	1	yes	characteristic
432	#88111	C₂³	1	1	yes	characteristic
433	#88111	C₂³	1	1	yes	characteristic
434	#88110	C₂³	1	1	yes	characteristic
435	#88110	C₂³	1	1	yes	characteristic
436	#88110	C₂³	1	1	yes	characteristic
437	#88110	C₂³	1	1	yes	characteristic
438	#88110	C₂³	1	1	yes	characteristic
439	#88110	C₂³	1	1	yes	characteristic
440	#88110	C₂³	1	1	yes	characteristic
441	#88110	C₂³	1	1	yes	characteristic
442	#88110	C₂³	1	1	yes	characteristic
443	#88110	C₂³	1	1	yes	characteristic
444	#88110	C₂³	1	1	yes	characteristic
445	#88110	C₂³	1	1	yes	characteristic
446	#88110	C₂³	1	1	yes	characteristic
447	#88110	C₂³	1	1	yes	characteristic
448	#88110	C₂³	1	1	yes	characteristic
449	#88110	C₂³	1	1	yes	characteristic
450	#88110	C₂³	1	1	yes	characteristic
451	#88110	C₂³	1	1	yes	characteristic
452	#88110	C₂³	1	1	yes	characteristic
453	#88110	C₂³	1	1	yes	characteristic
454	#88110	C₂³	1	1	yes	characteristic
455	#88110	C₂³	1	1	yes	characteristic
456	C₄⋊#1057	C₂³	1	1	yes	characteristic
457	C₄⋊#1057	C₂³	1	1	yes	characteristic
458	C₄⋊#1057	C₂³	1	1	yes	characteristic
459	C₄⋊#1057	C₂³	1	1	yes	characteristic
460	C₄⋊#1057	C₂³	1	1	yes	characteristic
461	C₄⋊#1057	C₂³	1	1	yes	characteristic
462	C₄⋊#1057	C₂³	1	1	yes	characteristic
463	C₄⋊#1057	C₂³	1	1	yes	characteristic
464	C₄⋊#1057	C₂³	1	1	yes	characteristic
465	C₄⋊#1057	C₂³	1	1	yes	characteristic
466	C₄×#1057	C₂³	1	1	yes	characteristic
467	C₄×#1057	C₂³	1	1	yes	characteristic
468	C₄×#1057	C₂³	1	1	yes	characteristic
469	C₄×#1057	C₂³	1	1	yes	characteristic
470	C₄×#1057	C₂³	1	1	yes	characteristic
471	C₄×#1057	C₂³	1	1	yes	characteristic
472	C₄×#1057	C₂³	1	1	yes	characteristic
473	C₄×#1057	C₂³	1	1	yes	characteristic
474	C₄×#1057	C₂³	1	1	yes	characteristic
475	C₄×#1057	C₂³	1	1	yes	characteristic
476	C₄×#1057	C₂³	1	1	yes	characteristic
477	C₄×#1057	C₂³	1	1	yes	characteristic
478	C₄×#1057	C₂³	1	1	yes	characteristic
479	C₄×#1057	C₂³	1	1	yes	characteristic
480	C₄×#1057	C₂³	1	1	yes	characteristic
481	C₄×#1057	C₂³	1	1	yes	characteristic
482	C₄×#1057	C₂³	1	1	yes	characteristic
483	C₄×#1057	C₂³	1	1	yes	characteristic
484	#60219	—	13	1	no	maximal, Sylow
485	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
493	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
495	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
509	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
511	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
512	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
513	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
514	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
515	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
518	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
519	#6129	—	2	2	no	—
520	#6129	—	2	2	no	—
521	#6129	—	2	2	no	—
522	#6129	—	2	2	no	—
523	#6129	—	2	2	no	—
524	#6129	—	2	2	no	—
525	#6129	—	4	2	no	—
526	#6127	—	4	2	no	—
527	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
528	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
529	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×Dic₂₆	—	4	2	no	—
540	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
541	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
542	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
543	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
544	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
545	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
546	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
547	#6122	—	2	2	no	—
548	#6122	—	2	2	no	—
549	#6122	—	2	2	no	—
550	#6122	—	2	2	no	—
551	#6122	—	2	2	no	—
552	#6122	—	2	2	no	—
553	#6122	—	2	2	no	—
554	#6122	—	2	2	no	—
555	#6122	—	2	2	no	—
556	#6122	#41	1	4	yes	complemented
557	C₂×#1057	—	2	2	no	—
558	C₂×#1057	—	2	2	no	—
559	C₂×#1057	—	2	2	no	—
560	C₂×#1057	—	2	2	no	—
561	C₂×#1057	—	2	2	no	—
562	C₂×#1057	—	2	2	no	—
563	C₂×#1057	—	2	2	no	—
564	C₂×#1057	—	2	2	no	—
565	C₂×#1057	—	2	2	no	—
566	C₂×#1057	#41	1	4	yes	complemented
567	C₂×#1057	C₂⁴	1	1	yes	characteristic
568	C₂×#1057	C₂⁴	1	1	yes	characteristic
569	C₂×#1057	C₂⁴	1	1	yes	characteristic
570	C₂×#1057	C₂⁴	1	1	yes	characteristic
571	C₂×#1057	C₂⁴	1	1	yes	characteristic
572	C₂×#1057	C₂⁴	1	1	yes	characteristic
573	C₂×#1057	C₂⁴	1	1	yes	characteristic
574	C₂×#1057	C₂⁴	1	1	yes	characteristic
575	C₂×#1057	C₂⁴	1	1	yes	characteristic
576	C₂×#1057	C₂⁴	1	1	yes	characteristic
577	C₂×#1057	C₂⁴	1	1	yes	characteristic
578	C₂×#1057	C₂⁴	1	1	yes	characteristic
579	C₂×#1057	C₂⁴	1	1	yes	characteristic
580	C₂×#1057	C₂⁴	1	1	yes	characteristic
581	C₂×#1057	C₂⁴	1	1	yes	characteristic
582	C₂×#1057	C₂⁴	1	1	yes	characteristic
583	#6118	—	2	2	no	—
584	#6118	—	2	2	no	—
585	#6118	—	2	2	no	—
586	#6118	—	2	2	no	—
587	#6118	—	2	2	no	—
588	#6118	—	2	2	no	—
589	D₁₃⋊C₈	—	2	2	no	—
590	D₁₃⋊C₈	—	2	2	no	—
591	D₁₃⋊C₈	—	2	2	no	—
592	D₁₃⋊C₈	—	2	2	no	—
593	D₁₃⋊C₈	—	2	2	no	—
594	D₁₃⋊C₈	—	2	2	no	—
595	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
616	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
617	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
626	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
628	#6103	C₂²×C₄	1	1	yes	characteristic
629	#6103	C₂²×C₄	1	1	yes	characteristic
630	#6103	C₂²×C₄	1	1	yes	characteristic
631	#6103	C₂²×C₄	1	1	yes	characteristic
632	#6103	C₂²×C₄	1	1	yes	characteristic
633	#6103	C₂²×C₄	1	1	yes	characteristic
634	#6103	C₂²×C₄	1	1	yes	characteristic
635	#6103	C₂²×C₄	1	1	yes	characteristic
636	#6103	C₂²×C₄	1	1	yes	characteristic
637	#6103	C₂²×C₄	1	1	yes	characteristic
638	#6103	C₂²×C₄	1	1	yes	characteristic
639	#6103	C₂²×C₄	1	1	yes	characteristic
640	#6103	C₂²×C₄	1	1	yes	characteristic
641	#6103	C₂²×C₄	1	1	yes	characteristic
642	#6103	C₂²×C₄	1	1	yes	characteristic
643	#6103	C₂²×C₄	1	1	yes	characteristic
644	#6103	C₂²×C₄	1	1	yes	characteristic
645	#6103	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
647	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
648	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
651	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
652	#6101	C₂²×C₄	1	1	yes	characteristic
653	#6101	C₂²×C₄	1	1	yes	characteristic
654	#6101	C₂²×C₄	1	1	yes	characteristic
655	#6101	C₂²×C₄	1	1	yes	characteristic
656	#6101	C₂²×C₄	1	1	yes	characteristic
657	#6101	C₂²×C₄	1	1	yes	characteristic
658	#6101	C₂²×C₄	1	1	yes	characteristic
659	#6101	C₂²×C₄	1	1	yes	characteristic
660	#6101	C₂²×C₄	1	1	yes	characteristic
661	#6101	C₂²×C₄	1	1	yes	characteristic
662	#6101	C₂²×C₄	1	1	yes	characteristic
663	#6101	C₂²×C₄	1	1	yes	characteristic
664	#6101	C₂²×C₄	1	1	yes	characteristic
665	#6101	C₂²×C₄	1	1	yes	characteristic
666	#6101	C₂²×C₄	1	1	yes	characteristic
667	#6101	C₂²×C₄	1	1	yes	characteristic
668	#6101	C₂²×C₄	1	1	yes	characteristic
669	#6101	C₂²×C₄	1	1	yes	characteristic
670	#6101	C₂²×C₄	1	1	yes	characteristic
671	#6101	C₂²×C₄	1	1	yes	characteristic
672	#6101	C₂²×C₄	1	1	yes	characteristic
673	#6101	C₂²×C₄	1	1	yes	characteristic
674	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
675	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
676	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
678	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
679	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
680	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
681	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
682	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
684	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
685	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
686	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
687	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
688	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
689	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
695	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
696	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
697	#3480	—	13	1	no	—
698	#2970	—	13	1	no	—
699	#2970	—	13	1	no	—
700	#2969	—	13	1	no	—
701	#2969	—	13	1	no	—
702	#2968	—	13	1	no	—
703	#2968	—	13	1	no	—
704	#2968	—	13	1	no	—
705	#2968	—	13	1	no	—
706	#2967	—	13	1	no	—
707	#2967	—	13	1	no	—
708	#2967	—	13	1	no	—
709	#2967	—	13	1	no	—
710	#2966	—	13	1	no	—
711	#2966	—	13	1	no	—
712	#2965	—	13	1	no	—
713	#2965	—	13	1	no	—
714	Q₈×M₁₆	—	13	1	no	—
715	C₂×#446	—	13	1	no	—
716	#2935	—	13	1	no	—
717	#2935	—	13	1	no	—
718	#2935	—	13	1	no	—
719	#2932	—	13	1	no	—
720	#2932	—	13	1	no	—
721	#2931	—	13	1	no	—
722	#2925	—	13	1	no	—
723	#2925	—	13	1	no	—
724	#2925	—	13	1	no	—
725	#2875	—	13	1	no	—
726	#2875	—	13	1	no	—
727	C₄×#131	—	13	1	no	—
728	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
729	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
730	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
731	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
732	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
733	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
734	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
735	D₄×C₁₃	—	2	2	no	—
736	D₄×C₁₃	—	2	2	no	—
737	D₄×C₁₃	—	2	2	no	—
738	D₄×C₁₃	—	4	1	no	—
739	D₄×C₁₃	—	4	1	no	—
740	D₄×C₁₃	—	4	1	no	—
741	C₂×C₄×C₁₃	—	4	1	no	—
742	C₂×C₄×C₁₃	—	4	1	no	—
743	C₂×C₄×C₁₃	—	4	1	no	—
744	C₂×C₄×C₁₃	—	4	1	no	—
745	C₂×C₄×C₁₃	—	4	1	no	—
746	C₂×C₄×C₁₃	—	4	1	no	—
747	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
748	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
749	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
750	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
751	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
752	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
754	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
755	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
758	C₂²⋊D₁₃	—	2	2	no	—
759	C₂²⋊D₁₃	—	2	2	no	—
760	C₂²⋊D₁₃	—	2	2	no	—
761	C₂²⋊D₁₃	—	2	2	no	—
762	C₂²⋊D₁₃	—	2	2	no	—
763	C₂²⋊D₁₃	—	2	2	no	—
764	C₂²⋊D₁₃	—	2	2	no	—
765	C₂²⋊D₁₃	—	2	2	no	—
766	C₂²⋊D₁₃	—	4	1	no	—
767	C₂²⋊D₁₃	—	4	1	no	—
768	C₂²⋊D₁₃	—	4	1	no	—
769	C₂²⋊D₁₃	—	4	1	no	—
770	C₂×Dic₁₃	—	2	2	no	—
771	C₂×Dic₁₃	—	2	2	no	—
772	C₂×Dic₁₃	—	2	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	2	1	no	—
776	C₂×Dic₁₃	—	2	1	no	—
777	C₂×Dic₁₃	—	2	1	no	—
778	C₂×Dic₁₃	—	4	1	no	—
779	C₂×Dic₁₃	—	4	1	no	—
780	C₂×Dic₁₃	—	4	1	no	—
781	C₂×Dic₁₃	—	4	1	no	—
782	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
783	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
784	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
785	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
786	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
787	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
788	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
789	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
790	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
791	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
792	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
793	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
794	C₂×Dic₁₃	C₂×#41	1	2	yes	—
795	C₂×Dic₁₃	C₂×#41	1	2	yes	—
796	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
797	D₅₂	—	4	1	no	—
798	D₅₂	—	4	1	no	—
799	D₅₂	—	4	1	no	—
800	C₄×D₁₃	—	2	2	no	—
801	C₄×D₁₃	—	2	1	no	—
802	C₄×D₁₃	—	2	1	no	—
803	C₄×D₁₃	—	2	1	no	—
804	C₄×D₁₃	—	2	1	no	—
805	C₄×D₁₃	—	2	1	no	—
806	C₄×D₁₃	—	2	1	no	—
807	C₄×D₁₃	—	4	1	no	—
808	C₄×D₁₃	—	4	1	no	—
809	C₄×D₁₃	—	4	1	no	—
810	C₄×D₁₃	—	4	1	no	—
811	C₄×D₁₃	—	4	1	no	—
812	Dic₂₆	—	2	2	no	—
813	Dic₂₆	—	2	2	no	—
814	Dic₂₆	—	2	2	no	—
815	Dic₂₆	—	2	2	no	—
816	Dic₂₆	—	2	2	no	—
817	Dic₂₆	—	4	1	no	—
818	Dic₂₆	—	4	1	no	—
819	#1057	—	2	1	no	—
820	#1057	—	2	1	no	—
821	#1057	—	2	1	no	—
822	#1057	—	2	1	no	—
823	#1057	—	2	1	no	—
824	#1057	—	2	1	no	—
825	#1057	—	2	1	no	—
826	#1057	—	2	1	no	—
827	#1057	—	2	1	no	—
828	#1057	—	2	1	no	—
829	#1057	—	2	1	no	—
830	#1057	—	2	1	no	—
831	#1057	C₂×#41	1	2	yes	—
832	#1057	C₂×#41	1	2	yes	—
833	#1057	C₂×#41	1	2	yes	—
834	#1057	C₂×#41	1	2	yes	—
835	C₂×#131	—	13	1	no	—
836	C₂×#131	—	13	1	no	—
837	C₂×#131	—	13	1	no	—
838	C₂×#131	—	13	1	no	—
839	C₂×#131	—	13	1	no	—
840	C₂×#131	—	13	1	no	—
841	#559	—	13	1	no	—
842	#559	—	13	1	no	—
843	#559	—	13	1	no	—
844	#557	—	13	1	no	—
845	#556	—	13	1	no	—
846	#556	—	13	1	no	—
847	#556	—	13	1	no	—
848	#553	—	13	1	no	—
849	#553	—	13	1	no	—
850	#553	—	13	1	no	—
851	#553	—	13	1	no	—
852	#553	—	13	1	no	—
853	#553	#261	1	1	yes	characteristic
854	#550	—	13	1	no	—
855	#548	—	13	1	no	—
856	#548	—	13	1	no	—
857	#532	—	13	1	no	—
858	#532	—	13	1	no	—
859	#532	—	13	1	no	—
860	#529	—	13	1	no	—
861	#529	—	13	1	no	—
862	#529	—	13	1	no	—
863	#529	—	13	1	no	—
864	#529	—	13	1	no	—
865	#529	—	13	1	no	—
866	C₄×#41	—	13	1	no	—
867	C₄×#41	—	13	1	no	—
868	C₄×#41	—	13	1	no	—
869	C₄×#41	—	13	1	no	—
870	C₄×#41	—	13	1	no	—
871	C₂×C₄×Q₈	—	13	1	no	—
872	#446	—	13	1	no	—
873	#446	—	13	1	no	—
874	#446	—	13	1	no	—
875	#446	—	13	1	no	—
876	#446	—	13	1	no	—
877	#446	—	13	1	no	—
878	#446	—	13	1	no	—
879	#446	—	13	1	no	—
880	#446	—	13	1	no	—
881	#446	—	13	1	no	—
882	#446	—	13	1	no	—
883	#446	—	13	1	no	—
884	#446	—	13	1	no	—
885	#446	—	13	1	no	—
886	C₈×Q₈	—	13	1	no	—
887	C₈×Q₈	—	13	1	no	—
888	#436	—	13	1	no	—
889	#436	—	13	1	no	—
890	#436	—	13	1	no	—
891	#436	—	13	1	no	—
892	#436	—	13	1	no	—
893	#436	—	13	1	no	—
894	#436	—	13	1	no	—
895	#436	—	13	1	no	—
896	#436	—	13	1	no	—
897	#436	—	13	1	no	—
898	#435	—	13	1	no	—
899	#435	—	13	1	no	—
900	#435	—	13	1	no	—
901	#435	—	13	1	no	—
902	#435	—	13	1	no	—
903	#435	—	13	1	no	—
904	#435	—	13	1	no	—
905	#435	—	13	1	no	—
906	#435	—	13	1	no	—
907	#435	—	13	1	no	—
908	#435	—	13	1	no	—
909	#435	—	13	1	no	—
910	#435	—	13	1	no	—
911	#435	—	13	1	no	—
912	#435	—	13	1	no	—
913	#435	—	13	1	no	—
914	#435	—	13	1	no	—
915	#435	—	13	1	no	—
916	#435	—	13	1	no	—
917	#435	—	13	1	no	—
918	#435	—	13	1	no	—
919	#435	—	13	1	no	—
920	#435	—	13	1	no	—
921	#435	—	13	1	no	—
922	#435	—	13	1	no	—
923	#435	—	13	1	no	—
924	#435	—	13	1	no	—
925	#435	—	13	1	no	—
926	C₈×D₄	—	13	1	no	—
927	C₈×D₄	—	13	1	no	—
928	C₈×D₄	—	13	1	no	—
929	C₈×D₄	—	13	1	no	—
930	C₈×D₄	—	13	1	no	—
931	C₈×D₄	—	13	1	no	—
932	C₈×D₄	—	13	1	no	—
933	C₈×D₄	—	13	1	no	—
934	C₈×D₄	—	13	1	no	—
935	C₈×D₄	—	13	1	no	—
936	#433	—	13	1	no	—
937	#433	—	13	1	no	—
938	#433	—	13	1	no	—
939	#433	—	13	1	no	—
940	#433	—	13	1	no	—
941	#433	—	13	1	no	—
942	#433	—	13	1	no	—
943	#433	—	13	1	no	—
944	#433	—	13	1	no	—
945	#433	—	13	1	no	—
946	#433	—	13	1	no	—
947	#433	—	13	1	no	—
948	#432	—	13	1	no	—
949	#432	—	13	1	no	—
950	#432	—	13	1	no	—
951	#432	—	13	1	no	—
952	#432	—	13	1	no	—
953	#432	—	13	1	no	—
954	#431	—	13	1	no	—
955	#431	—	13	1	no	—
956	#431	—	13	1	no	—
957	#431	—	13	1	no	—
958	#431	—	13	1	no	—
959	#431	—	13	1	no	—
960	#423	—	13	1	no	—
961	#423	—	13	1	no	—
962	#423	—	13	1	no	—
963	C₂×C₄⋊C₈	—	13	1	no	—
964	C₂×C₄⋊C₈	—	13	1	no	—
965	C₂×C₄⋊C₈	—	13	1	no	—
966	#408	—	13	1	no	—
967	#408	—	13	1	no	—
968	#408	—	13	1	no	—
969	#408	—	13	1	no	—
970	#408	—	13	1	no	—
971	#408	—	13	1	no	—
972	#405	—	13	1	no	—
973	#405	—	13	1	no	—
974	#405	—	13	1	no	—
975	#405	—	13	1	no	—
976	#405	—	13	1	no	—
977	#405	—	13	1	no	—
978	#405	—	13	1	no	—
979	#405	—	13	1	no	—
980	#405	—	13	1	no	—
981	#405	—	13	1	no	—
982	#405	—	13	1	no	—
983	#405	—	13	1	no	—
984	#405	—	13	1	no	—
985	#405	—	13	1	no	—
986	#405	—	13	1	no	—
987	#405	—	13	1	no	—
988	C₄×M₁₆	—	13	1	no	—
989	C₄×M₁₆	—	13	1	no	—
990	C₄×M₁₆	—	13	1	no	—
991	C₄×M₁₆	—	13	1	no	—
992	C₄×M₁₆	—	13	1	no	—
993	C₄×M₁₆	—	13	1	no	—
994	C₄×M₁₆	—	13	1	no	—
995	C₄×M₁₆	—	13	1	no	—
996	C₄×M₁₆	—	13	1	no	—
997	C₂×#97	—	13	1	no	—
998	C₂×#97	—	13	1	no	—
999	C₂×#97	—	13	1	no	—
1000	C₂×#97	—	13	1	no	—
1001	C₂×#97	—	13	1	no	—
1002	C₂×#97	—	13	1	no	—
1003	C₂×C₄×C₈	—	13	1	no	—
1004	C₂×C₄×C₈	—	13	1	no	—
1005	C₂×C₄×C₈	—	13	1	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	—	2	1	no	—
1009	C₂²×C₁₃	—	2	1	no	—
1010	C₂²×C₁₃	—	2	1	no	—
1011	C₂²×C₁₃	—	2	1	no	—
1012	C₂²×C₁₃	—	2	1	no	—
1013	C₂²×C₁₃	—	2	1	no	—
1014	C₂²×C₁₃	—	2	1	no	—
1015	C₂²×C₁₃	—	2	1	no	—
1016	C₂²×C₁₃	—	2	1	no	—
1017	C₂²×C₁₃	C₄×#41	1	2	yes	—
1018	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
1019	C₂×D₁₃	—	2	1	no	—
1020	C₂×D₁₃	—	2	1	no	—
1021	C₂×D₁₃	—	2	1	no	—
1022	C₂×D₁₃	—	2	1	no	—
1023	C₂×D₁₃	—	2	1	no	—
1024	C₂×D₁₃	—	2	1	no	—
1025	C₂×D₁₃	—	2	1	no	—
1026	C₂×D₁₃	—	2	1	no	—
1027	C₂×D₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	1	no	—
1034	C₄×C₁₃	—	2	1	no	—
1035	C₄×C₁₃	—	2	1	no	—
1036	C₄×C₁₃	—	2	1	no	—
1037	C₄×C₁₃	—	2	1	no	—
1038	C₄×C₁₃	—	2	1	no	—
1039	Dic₁₃	—	2	1	no	—
1040	Dic₁₃	—	2	1	no	—
1041	Dic₁₃	—	2	1	no	—
1042	Dic₁₃	—	2	1	no	—
1043	Dic₁₃	—	2	1	no	—
1044	Dic₁₃	—	2	1	no	—
1045	Dic₁₃	—	2	1	no	—
1046	Dic₁₃	—	2	1	no	—
1047	Dic₁₃	—	2	1	no	—
1048	Dic₁₃	—	2	1	no	—
1049	Dic₁₃	C₄×#41	1	2	yes	—
1050	Dic₁₃	#568	1	2	yes	—
1051	Dic₁₃	C₂²×#41	1	1	yes	characteristic
1052	Dic₁₃	C₂²×#41	1	1	yes	characteristic
1053	C₂×#41	—	13	1	no	—
1054	C₂×#41	—	13	1	no	—
1055	C₂×#41	—	13	1	no	—
1056	C₂×#41	—	13	1	no	—
1057	C₂×#41	—	13	1	no	—
1058	C₂²×Q₈	—	13	1	no	—
1059	#131	—	26	4	no	—
1060	#131	—	26	4	no	—
1061	#131	—	26	4	no	—
1062	#131	—	26	4	no	—
1063	#131	—	26	4	no	—
1064	#131	—	26	4	no	—
1065	C₂×M₁₆	—	13	1	no	—
1066	C₂×M₁₆	—	13	1	no	—
1067	C₂×M₁₆	—	13	1	no	—
1068	C₂×M₁₆	—	13	1	no	—
1069	C₂×M₁₆	—	13	1	no	—
1070	C₂×M₁₆	—	13	1	no	—
1071	C₂×M₁₆	—	13	1	no	—
1072	C₂×M₁₆	—	13	1	no	—
1073	C₂×M₁₆	—	13	1	no	—
1074	C₂×M₁₆	—	13	1	no	—
1075	C₂×M₁₆	—	13	1	no	—
1076	C₂×M₁₆	—	13	1	no	—
1077	C₂×M₁₆	—	13	1	no	—
1078	C₂×M₁₆	—	13	1	no	—
1079	C₂×M₁₆	—	13	1	no	—
1080	C₂×M₁₆	—	13	1	no	—
1081	C₂²×C₈	—	13	1	no	—
1082	C₂²×C₈	—	13	1	no	—
1083	C₂²×C₈	—	13	1	no	—
1084	C₂²×C₈	—	13	1	no	—
1085	C₂²×C₈	—	13	1	no	—
1086	C₂²×C₈	—	13	1	no	—
1087	C₂²×C₈	—	13	1	no	—
1088	C₂²×C₈	—	13	1	no	—
1089	C₂²×C₈	—	13	1	no	—
1090	C₂²×C₈	—	13	1	no	—
1091	C₂²×C₈	—	13	1	no	—
1092	C₂²×C₈	—	13	1	no	—
1093	C₂²×C₈	—	13	1	no	—
1094	C₂²×C₈	—	13	1	no	—
1095	C₂²×C₈	—	13	1	no	—
1096	C₂²×C₈	—	13	1	no	—
1097	C₄⋊Q₈	—	13	1	no	—
1098	C₄⋊Q₈	—	13	1	no	—
1099	C₄⋊Q₈	—	13	1	no	—
1100	#127	—	13	1	no	—
1101	#127	—	13	1	no	—
1102	#127	—	13	1	no	—
1103	#126	—	13	1	no	—
1104	#126	—	13	1	no	—
1105	#126	—	13	1	no	—
1106	#126	—	13	1	no	—
1107	#126	—	13	1	no	—
1108	#126	—	13	1	no	—
1109	#126	—	13	1	no	—
1110	#126	—	13	1	no	—
1111	#126	—	13	1	no	—
1112	#126	—	13	1	no	—
1113	#126	C₂×#261	1	1	yes	characteristic
1114	#126	C₂×#261	1	1	yes	characteristic
1115	#125	—	13	1	no	—
1116	#125	—	13	1	no	—
1117	#125	—	13	1	no	—
1118	#125	—	13	1	no	—
1119	#125	—	13	1	no	—
1120	#125	C₂×#261	1	1	yes	characteristic
1121	#124	—	13	1	no	—
1122	#124	—	13	1	no	—
1123	#124	—	13	1	no	—
1124	#124	—	13	1	no	—
1125	#124	—	13	1	no	—
1126	#124	—	13	1	no	—
1127	#124	—	13	1	no	—
1128	#124	—	13	1	no	—
1129	#124	—	13	1	no	—
1130	#124	—	13	1	no	—
1131	#124	—	13	1	no	—
1132	#124	—	13	1	no	—
1133	#123	—	13	1	no	—
1134	#123	—	13	1	no	—
1135	#123	—	13	1	no	—
1136	#123	—	13	1	no	—
1137	#123	—	13	1	no	—
1138	#123	—	13	1	no	—
1139	#123	—	13	1	no	—
1140	#123	—	13	1	no	—
1141	#123	—	13	1	no	—
1142	#123	—	13	1	no	—
1143	#123	C₂×#261	1	1	yes	characteristic
1144	#123	C₂×#261	1	1	yes	characteristic
1145	C₂²⋊Q₈	—	13	1	no	—
1146	C₂²⋊Q₈	—	13	1	no	—
1147	C₂²⋊Q₈	—	13	1	no	—
1148	C₂²⋊Q₈	—	13	1	no	—
1149	C₂²⋊Q₈	—	13	1	no	—
1150	C₂²⋊Q₈	—	13	1	no	—
1151	#121	—	13	1	no	—
1152	#121	—	13	1	no	—
1153	#121	—	13	1	no	—
1154	#121	—	13	1	no	—
1155	#121	—	13	1	no	—
1156	#121	—	13	1	no	—
1157	#121	—	13	1	no	—
1158	#121	—	13	1	no	—
1159	#121	—	13	1	no	—
1160	#121	—	13	1	no	—
1161	#121	—	13	1	no	—
1162	#121	—	13	1	no	—
1163	#121	—	13	1	no	—
1164	#121	—	13	1	no	—
1165	#121	C₂×#261	1	1	yes	characteristic
1166	#121	C₂×#261	1	1	yes	characteristic
1167	#121	C₂×#261	1	1	yes	characteristic
1168	#121	C₂×#261	1	1	yes	characteristic
1169	C₄×Q₈	—	13	1	no	—
1170	C₄×Q₈	—	13	1	no	—
1171	C₄×Q₈	—	13	1	no	—
1172	C₄×Q₈	—	13	1	no	—
1173	C₄×Q₈	—	13	1	no	—
1174	C₄×Q₈	—	13	1	no	—
1175	C₄×Q₈	—	13	1	no	—
1176	C₄×Q₈	—	13	1	no	—
1177	C₄×Q₈	—	13	1	no	—
1178	C₄×Q₈	—	13	1	no	—
1179	C₄×Q₈	—	13	1	no	—
1180	C₄×Q₈	—	13	1	no	—
1181	C₄×Q₈	—	13	1	no	—
1182	C₄×Q₈	—	13	1	no	—
1183	C₄×Q₈	—	13	1	no	—
1184	C₄×Q₈	—	13	1	no	—
1185	C₄×D₄	—	13	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	13	1	no	—
1192	C₄×D₄	—	13	1	no	—
1193	C₄×D₄	—	13	1	no	—
1194	C₄×D₄	—	13	1	no	—
1195	C₄×D₄	—	13	1	no	—
1196	C₄×D₄	—	13	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	13	1	no	—
1210	C₄×D₄	—	13	1	no	—
1211	C₄×D₄	—	13	1	no	—
1212	C₄×D₄	—	13	1	no	—
1213	C₄×D₄	—	13	1	no	—
1214	C₄×D₄	—	13	1	no	—
1215	C₄×D₄	—	13	1	no	—
1216	C₄×D₄	—	13	1	no	—
1217	C₄×D₄	C₂×#261	1	1	yes	characteristic
1218	C₄×D₄	C₂×#261	1	1	yes	characteristic
1219	C₄×D₄	C₂×#261	1	1	yes	characteristic
1220	C₄×D₄	C₂×#261	1	1	yes	characteristic
1221	#117	—	13	1	no	—
1222	#117	—	13	1	no	—
1223	#117	—	13	1	no	—
1224	#117	—	13	1	no	—
1225	#117	—	13	1	no	—
1226	#117	—	13	1	no	—
1227	#117	—	13	1	no	—
1228	#117	—	13	1	no	—
1229	#117	—	13	1	no	—
1230	#117	—	13	1	no	—
1231	#117	—	13	1	no	—
1232	#117	—	13	1	no	—
1233	#117	C₂×#261	1	1	yes	characteristic
1234	C₂×C₄⋊C₄	—	13	1	no	—
1235	C₂×C₄⋊C₄	—	13	1	no	—
1236	C₂×C₄⋊C₄	C₂×#261	1	1	yes	characteristic
1237	C₂×C₄²	—	13	1	no	—
1238	C₂×C₄²	—	13	1	no	—
1239	C₂×C₄²	—	13	1	no	—
1240	C₂×C₄²	—	13	1	no	—
1241	C₂×C₄²	—	13	1	no	—
1242	C₂×C₄²	—	13	1	no	—
1243	C₂×C₄²	—	13	1	no	—
1244	C₂×C₄²	—	13	1	no	—
1245	C₂×C₄²	—	13	1	no	—
1246	C₄⋊C₈	—	13	1	no	—
1247	C₄⋊C₈	—	13	1	no	—
1248	C₄⋊C₈	—	13	1	no	—
1249	C₄⋊C₈	—	13	1	no	—
1250	C₄⋊C₈	—	13	1	no	—
1251	C₄⋊C₈	—	13	1	no	—
1252	C₄⋊C₈	—	13	1	no	—
1253	C₄⋊C₈	—	13	1	no	—
1254	C₄⋊C₈	—	13	1	no	—
1255	C₄⋊C₈	—	13	1	no	—
1256	C₄⋊C₈	—	13	1	no	—
1257	C₄⋊C₈	—	13	1	no	—
1258	C₄⋊C₈	—	13	1	no	—
1259	C₄⋊C₈	—	13	1	no	—
1260	C₄⋊C₈	—	13	1	no	—
1261	C₄⋊C₈	—	13	1	no	—
1262	C₄⋊C₈	—	13	1	no	—
1263	C₄⋊C₈	—	13	1	no	—
1264	C₄⋊C₈	—	13	1	no	—
1265	C₄⋊C₈	—	13	1	no	—
1266	C₄⋊C₈	—	13	1	no	—
1267	C₄⋊C₈	—	13	1	no	—
1268	C₄⋊C₈	—	13	1	no	—
1269	C₄⋊C₈	—	13	1	no	—
1270	C₂²⋊C₈	—	13	1	no	—
1271	C₂²⋊C₈	—	13	1	no	—
1272	C₂²⋊C₈	—	13	1	no	—
1273	C₂²⋊C₈	—	13	1	no	—
1274	C₂²⋊C₈	—	13	1	no	—
1275	C₂²⋊C₈	—	13	1	no	—
1276	C₂²⋊C₈	—	13	1	no	—
1277	C₂²⋊C₈	—	13	1	no	—
1278	C₂²⋊C₈	—	13	1	no	—
1279	C₂²⋊C₈	—	13	1	no	—
1280	C₂²⋊C₈	—	13	1	no	—
1281	C₂²⋊C₈	—	13	1	no	—
1282	C₂²⋊C₈	—	13	1	no	—
1283	C₂²⋊C₈	—	13	1	no	—
1284	C₂²⋊C₈	—	13	1	no	—
1285	C₂²⋊C₈	—	13	1	no	—
1286	C₂²⋊C₈	—	13	1	no	—
1287	C₂²⋊C₈	—	13	1	no	—
1288	C₂²⋊C₈	—	13	1	no	—
1289	C₂²⋊C₈	—	13	1	no	—
1290	C₂²⋊C₈	—	13	1	no	—
1291	C₂²⋊C₈	—	13	1	no	—
1292	C₂²⋊C₈	—	13	1	no	—
1293	C₂²⋊C₈	—	13	1	no	—
1294	#97	—	13	1	no	—
1295	#97	—	13	1	no	—
1296	#97	—	13	1	no	—
1297	#97	—	13	1	no	—
1298	#97	—	13	1	no	—
1299	#97	—	13	1	no	—
1300	#97	—	13	1	no	—
1301	#97	—	13	1	no	—
1302	#97	—	13	1	no	—
1303	#97	—	13	1	no	—
1304	#97	—	13	1	no	—
1305	#97	—	13	1	no	—
1306	#97	—	13	1	no	—
1307	#97	—	13	1	no	—
1308	#97	—	13	1	no	—
1309	#97	—	13	1	no	—
1310	#97	—	13	1	no	—
1311	#97	—	13	1	no	—
1312	#97	—	13	1	no	—
1313	#97	—	13	1	no	—
1314	#97	—	13	1	no	—
1315	#97	—	13	1	no	—
1316	C₄×C₈	—	13	1	no	—
1317	C₄×C₈	—	13	1	no	—
1318	C₄×C₈	—	13	1	no	—
1319	C₄×C₈	—	13	1	no	—
1320	C₄×C₈	—	13	1	no	—
1321	C₄×C₈	—	13	1	no	—
1322	C₄×C₈	—	13	1	no	—
1323	C₄×C₈	—	13	1	no	—
1324	C₄×C₈	—	13	1	no	—
1325	C₄×C₈	—	13	1	no	—
1326	C₄×C₈	—	13	1	no	—
1327	C₄×C₈	—	13	1	no	—
1328	C₄×C₈	—	13	1	no	—
1329	C₄×C₈	—	13	1	no	—
1330	C₄×C₈	—	13	1	no	—
1331	C₄×C₈	—	13	1	no	—
1332	C₄×C₈	—	13	1	no	—
1333	C₄×C₈	—	13	1	no	—
1334	C₂×C₁₃	—	2	2	no	—
1335	C₂×C₁₃	—	4	1	no	—
1336	C₂×C₁₃	—	4	1	no	—
1337	C₂×C₁₃	—	4	1	no	—
1338	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1339	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1340	C₂×C₁₃	#3573	1	1	yes	characteristic
1341	D₁₃	—	4	1	no	—
1342	D₁₃	—	4	1	no	—
1343	D₁₃	—	4	1	no	—
1344	#41	—	26	2	no	—
1345	#41	—	26	2	no	—
1346	#41	—	26	2	no	—
1347	#41	—	26	2	no	—
1348	#41	—	26	2	no	—
1349	#41	—	26	2	no	—
1350	#41	—	52	2	no	—
1351	#41	—	52	2	no	—
1352	C₂×Q₈	—	13	1	no	—
1353	C₂×Q₈	—	13	1	no	—
1354	C₂×Q₈	—	13	1	no	—
1355	C₂×Q₈	—	13	1	no	—
1356	C₂×Q₈	—	13	1	no	—
1357	C₂×Q₈	—	13	1	no	—
1358	C₂×Q₈	—	13	1	no	—
1359	C₂×Q₈	—	52	2	no	—
1360	C₂×D₄	—	13	1	no	—
1361	C₂×D₄	—	13	1	no	—
1362	C₂×D₄	—	13	1	no	—
1363	C₂×D₄	—	13	1	no	—
1364	C₂×D₄	—	13	1	no	—
1365	C₂×D₄	—	13	1	no	—
1366	C₂×D₄	—	13	1	no	—
1367	C₂×D₄	—	13	1	no	—
1368	C₂×D₄	—	13	1	no	—
1369	C₂×D₄	—	13	1	no	—
1370	C₂×D₄	—	13	1	no	—
1371	C₂×D₄	—	13	1	no	—
1372	C₂×D₄	—	13	1	no	—
1373	C₂×D₄	—	13	1	no	—
1374	C₂×D₄	—	13	1	no	—
1375	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1376	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1377	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1378	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1379	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1380	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1381	C₂²×C₄	—	13	1	no	—
1382	C₂²×C₄	—	13	1	no	—
1383	C₂²×C₄	—	13	1	no	—
1384	C₂²×C₄	—	13	1	no	—
1385	C₂²×C₄	—	13	1	no	—
1386	C₂²×C₄	—	13	1	no	—
1387	C₂²×C₄	—	13	1	no	—
1388	C₂²×C₄	—	13	1	no	—
1389	C₂²×C₄	—	13	1	no	—
1390	C₂²×C₄	—	13	1	no	—
1391	C₂²×C₄	—	13	1	no	—
1392	C₂²×C₄	—	13	1	no	—
1393	C₂²×C₄	—	13	1	no	—
1394	C₂²×C₄	—	13	1	no	—
1395	C₂²×C₄	—	13	1	no	—
1396	C₂²×C₄	—	13	1	no	—
1397	C₂²×C₄	—	13	1	no	—
1398	C₂²×C₄	—	13	1	no	—
1399	C₂²×C₄	—	13	1	no	—
1400	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1401	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1402	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1403	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1404	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1405	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1406	M₁₆	—	13	4	no	—
1407	M₁₆	—	26	2	no	—
1408	M₁₆	—	26	2	no	—
1409	M₁₆	—	26	2	no	—
1410	M₁₆	—	26	2	no	—
1411	M₁₆	—	26	2	no	—
1412	M₁₆	—	26	2	no	—
1413	M₁₆	—	26	2	no	—
1414	M₁₆	—	26	2	no	—
1415	M₁₆	—	26	2	no	—
1416	M₁₆	—	26	2	no	—
1417	M₁₆	—	26	2	no	—
1418	M₁₆	—	26	2	no	—
1419	M₁₆	—	26	2	no	—
1420	M₁₆	—	26	2	no	—
1421	M₁₆	—	26	2	no	—
1422	C₂×C₈	—	13	1	no	—
1423	C₂×C₈	—	13	1	no	—
1424	C₂×C₈	—	13	1	no	—
1425	C₂×C₈	—	13	1	no	—
1426	C₂×C₈	—	13	4	no	—
1427	C₂×C₈	—	13	1	no	—
1428	C₂×C₈	—	13	1	no	—
1429	C₂×C₈	—	13	1	no	—
1430	C₂×C₈	—	13	1	no	—
1431	C₂×C₈	—	13	1	no	—
1432	C₂×C₈	—	13	1	no	—
1433	C₂×C₈	—	13	1	no	—
1434	C₂×C₈	—	13	1	no	—
1435	C₂×C₈	—	13	1	no	—
1436	C₂×C₈	—	13	1	no	—
1437	C₂×C₈	—	13	1	no	—
1438	C₂×C₈	—	13	1	no	—
1439	C₂×C₈	—	26	2	no	—
1440	C₂×C₈	—	26	2	no	—
1441	C₂×C₈	—	26	2	no	—
1442	C₂×C₈	—	26	2	no	—
1443	C₂×C₈	—	26	2	no	—
1444	C₂×C₈	—	26	2	no	—
1445	C₂×C₈	—	26	2	no	—
1446	C₂×C₈	—	26	2	no	—
1447	C₂×C₈	—	26	2	no	—
1448	C₂×C₈	—	26	2	no	—
1449	C₂×C₈	—	26	2	no	—
1450	C₂×C₈	—	26	2	no	—
1451	C₂×C₈	—	26	2	no	—
1452	C₂×C₈	—	26	2	no	—
1453	C₂×C₈	—	26	2	no	—
1454	C₄⋊C₄	—	13	1	no	—
1455	C₄⋊C₄	—	13	1	no	—
1456	C₄⋊C₄	—	13	1	no	—
1457	C₄⋊C₄	—	13	1	no	—
1458	C₄⋊C₄	—	13	1	no	—
1459	C₄⋊C₄	—	13	1	no	—
1460	C₄⋊C₄	—	13	1	no	—
1461	C₄⋊C₄	—	13	1	no	—
1462	C₄⋊C₄	—	13	1	no	—
1463	C₄⋊C₄	—	13	1	no	—
1464	C₄⋊C₄	—	13	1	no	—
1465	C₄⋊C₄	—	13	1	no	—
1466	C₄⋊C₄	—	13	1	no	—
1467	C₄⋊C₄	—	13	1	no	—
1468	C₄⋊C₄	—	13	1	no	—
1469	C₄⋊C₄	—	13	1	no	—
1470	C₄⋊C₄	—	13	1	no	—
1471	C₄⋊C₄	—	13	1	no	—
1472	C₄⋊C₄	—	13	1	no	—
1473	C₄⋊C₄	—	13	1	no	—
1474	C₄⋊C₄	—	13	1	no	—
1475	C₄⋊C₄	—	13	1	no	—
1476	C₄⋊C₄	—	13	1	no	—
1477	C₄⋊C₄	—	13	1	no	—
1478	C₄⋊C₄	—	13	1	no	—
1479	C₄⋊C₄	—	13	1	no	—
1480	C₄⋊C₄	—	13	1	no	—
1481	C₄⋊C₄	—	13	1	no	—
1482	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1483	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1484	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1485	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1486	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1487	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1488	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1489	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1490	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1491	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1492	C₂²⋊C₄	—	13	1	no	—
1493	C₂²⋊C₄	—	13	1	no	—
1494	C₂²⋊C₄	—	13	1	no	—
1495	C₂²⋊C₄	—	13	1	no	—
1496	C₂²⋊C₄	—	13	1	no	—
1497	C₂²⋊C₄	—	13	1	no	—
1498	C₂²⋊C₄	—	13	1	no	—
1499	C₂²⋊C₄	—	13	1	no	—
1500	C₂²⋊C₄	—	13	1	no	—
1501	C₂²⋊C₄	—	13	1	no	—
1502	C₂²⋊C₄	—	13	1	no	—
1503	C₂²⋊C₄	—	13	1	no	—
1504	C₂²⋊C₄	—	13	1	no	—
1505	C₂²⋊C₄	—	13	1	no	—
1506	C₂²⋊C₄	—	13	1	no	—
1507	C₂²⋊C₄	—	13	1	no	—
1508	C₂²⋊C₄	—	13	1	no	—
1509	C₂²⋊C₄	—	13	1	no	—
1510	C₂²⋊C₄	—	13	1	no	—
1511	C₂²⋊C₄	—	13	1	no	—
1512	C₂²⋊C₄	—	13	1	no	—
1513	C₂²⋊C₄	—	13	1	no	—
1514	C₂²⋊C₄	—	13	1	no	—
1515	C₂²⋊C₄	—	13	1	no	—
1516	C₂²⋊C₄	—	13	1	no	—
1517	C₂²⋊C₄	—	13	1	no	—
1518	C₂²⋊C₄	—	13	1	no	—
1519	C₂²⋊C₄	—	13	1	no	—
1520	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1530	C₄²	—	13	1	no	—
1531	C₄²	—	13	1	no	—
1532	C₄²	—	13	1	no	—
1533	C₄²	—	13	1	no	—
1534	C₄²	—	13	1	no	—
1535	C₄²	—	13	1	no	—
1536	C₄²	—	13	1	no	—
1537	C₄²	—	13	1	no	—
1538	C₄²	—	13	1	no	—
1539	C₄²	—	13	1	no	—
1540	C₄²	—	13	1	no	—
1541	C₄²	—	13	1	no	—
1542	C₄²	—	13	1	no	—
1543	C₄²	—	13	1	no	—
1544	C₄²	—	13	1	no	—
1545	C₄²	—	13	1	no	—
1546	C₄²	—	13	1	no	—
1547	C₄²	—	13	1	no	—
1548	C₄²	—	13	1	no	—
1549	C₄²	—	13	1	no	—
1550	C₄²	—	13	1	no	—
1551	C₄²	—	13	1	no	—
1552	C₄²	—	13	1	no	—
1553	C₄²	C₂²×#261	1	1	yes	characteristic
1554	C₄²	C₂²×#261	1	1	yes	characteristic
1555	C₄²	C₂²×#261	1	1	yes	characteristic
1556	C₁₃	#60219	1	1	yes	characteristic, complemented, Sylow
1557	C₂³	—	13	1	no	—
1558	C₂³	—	13	1	no	—
1559	C₂³	—	13	1	no	—
1560	C₂³	C₂³×#261	1	1	yes	characteristic
1561	C₂³	C₂³×#261	1	1	yes	characteristic
1562	C₂³	C₂³×#261	1	1	yes	characteristic
1563	C₂³	C₂³×#261	1	1	yes	characteristic
1564	Q₈	—	26	2	no	—
1565	Q₈	—	26	2	no	—
1566	Q₈	—	26	2	no	—
1567	Q₈	—	26	2	no	—
1568	Q₈	—	26	2	no	—
1569	Q₈	—	52	1	no	—
1570	Q₈	—	52	1	no	—
1571	D₄	—	2	2	no	—
1572	D₄	—	2	2	no	—
1573	D₄	—	2	2	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	1	no	—
1577	D₄	—	26	2	no	—
1578	D₄	—	26	2	no	—
1579	D₄	—	26	2	no	—
1580	D₄	—	26	2	no	—
1581	D₄	—	26	2	no	—
1582	D₄	—	26	2	no	—
1583	D₄	—	26	2	no	—
1584	D₄	—	26	2	no	—
1585	D₄	—	52	1	no	—
1586	D₄	—	52	1	no	—
1587	D₄	—	52	1	no	—
1588	D₄	—	52	1	no	—
1589	D₄	—	52	1	no	—
1590	D₄	—	52	1	no	—
1591	D₄	—	52	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	13	2	no	—
1599	C₂×C₄	—	13	2	no	—
1600	C₂×C₄	—	13	1	no	—
1601	C₂×C₄	—	13	1	no	—
1602	C₂×C₄	—	13	1	no	—
1603	C₂×C₄	—	13	1	no	—
1604	C₂×C₄	—	13	1	no	—
1605	C₂×C₄	—	13	1	no	—
1606	C₂×C₄	—	13	1	no	—
1607	C₂×C₄	—	13	1	no	—
1608	C₂×C₄	—	13	1	no	—
1609	C₂×C₄	—	13	1	no	—
1610	C₂×C₄	—	13	1	no	—
1611	C₂×C₄	—	13	1	no	—
1612	C₂×C₄	—	13	1	no	—
1613	C₂×C₄	—	26	1	no	—
1614	C₂×C₄	—	26	1	no	—
1615	C₂×C₄	—	26	1	no	—
1616	C₂×C₄	—	26	1	no	—
1617	C₂×C₄	—	26	1	no	—
1618	C₂×C₄	—	26	1	no	—
1619	C₂×C₄	—	26	2	no	—
1620	C₂×C₄	—	26	1	no	—
1621	C₂×C₄	—	26	1	no	—
1622	C₂×C₄	—	26	1	no	—
1623	C₂×C₄	—	26	1	no	—
1624	C₂×C₄	—	26	1	no	—
1625	C₂×C₄	—	26	1	no	—
1626	C₂×C₄	—	26	2	no	—
1627	C₂×C₄	—	26	2	no	—
1628	C₂×C₄	—	52	1	no	—
1629	C₂×C₄	—	52	1	no	—
1630	C₂×C₄	—	52	1	no	—
1631	C₂×C₄	—	52	1	no	—
1632	C₂×C₄	—	52	1	no	—
1633	C₂×C₄	—	52	1	no	—
1634	C₂×C₄	—	52	1	no	—
1635	C₂×C₄	—	52	1	no	—
1636	C₂×C₄	—	52	1	no	—
1637	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1638	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1639	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1640	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1641	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1642	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1643	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1644	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1645	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1646	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1647	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1648	C₈	—	13	2	no	—
1649	C₈	—	13	2	no	—
1650	C₈	—	13	2	no	—
1651	C₈	—	13	2	no	—
1652	C₈	—	26	1	no	—
1653	C₈	—	26	1	no	—
1654	C₈	—	26	1	no	—
1655	C₈	—	26	1	no	—
1656	C₈	—	26	1	no	—
1657	C₈	—	26	1	no	—
1658	C₈	—	26	1	no	—
1659	C₈	—	26	1	no	—
1660	C₈	—	26	1	no	—
1661	C₈	—	26	1	no	—
1662	C₈	—	26	1	no	—
1663	C₈	—	26	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	26	1	no	—
1676	C₂²	—	26	1	no	—
1677	C₂²	—	26	1	no	—
1678	C₂²	—	26	1	no	—
1679	C₂²	—	26	1	no	—
1680	C₂²	—	26	1	no	—
1681	C₂²	—	26	1	no	—
1682	C₂²	—	26	1	no	—
1683	C₂²	—	26	1	no	—
1684	C₂²	#41×#261	1	2	yes	—
1685	C₂²	C₂⁴×#261	1	1	yes	characteristic
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	13	2	no	—
1698	C₄	—	13	1	no	—
1699	C₄	—	13	1	no	—
1700	C₄	—	13	2	no	—
1701	C₄	—	26	1	no	—
1702	C₄	—	26	1	no	—
1703	C₄	—	26	1	no	—
1704	C₄	—	26	1	no	—
1705	C₄	—	26	1	no	—
1706	C₄	—	26	1	no	—
1707	C₄	—	26	1	no	—
1708	C₄	—	26	1	no	—
1709	C₄	—	26	1	no	—
1710	C₄	—	26	1	no	—
1711	C₂	—	2	2	no	—
1712	C₂	—	4	1	no	—
1713	C₂	—	4	1	no	—
1714	C₂	—	4	1	no	—
1715	C₂	—	52	1	no	—
1716	C₂	—	52	1	no	—
1717	C₂	—	52	1	no	—
1718	C₂	C₂×#41×#261	1	1	yes	characteristic
1719	C₂	D₁₃⋊#568	1	1	yes	characteristic
1720	C₂	#13131831	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#553	C₄
prime radical	#13128430	C₂
cosocle	C₂×Dic₁₃	C₂⁵
hypercenter	#553	#261
hypocenter	C₁₃	#60219
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #553

Complements

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

N	H ≅ G/N	type
1. #13131676	C₂	semidirect
2. #13131675	C₂	semidirect
3. #13131671	C₂	semidirect
4. #13131670	C₂	semidirect
5. #13131666	C₂	semidirect
6. #13131665	C₂	semidirect
7. #13131663	C₂	semidirect
8. #13131661	C₂	semidirect
9. #13131660	C₂	semidirect
10. #13131659	C₂	semidirect
11. #13131658	C₂	semidirect
12. #13131655	C₂	semidirect
13. #13131654	C₂	semidirect
14. #13131651	C₂	semidirect
15. #13131647	C₂	semidirect
16. #13131646	C₂	semidirect
17. #13131637	C₂	semidirect
18. C₂×#11719078	C₂	semidirect
19. #13131580	C₂	semidirect
20. #13131580	C₂	semidirect
21. #13131578	C₂	semidirect
22. #13131564	C₂	semidirect
23. #13131564	C₂	semidirect
24. #13131559	C₂	semidirect
25. #13131534	C₂	semidirect
26. #13131534	C₂	semidirect
27. #13131531	C₂	semidirect
28. #13131407	C₂	semidirect
29. #13131407	C₂	semidirect
30. C₄×#88238	C₂	semidirect
556. #6122	#41	semidirect
566. C₂×#1057	#41	semidirect
1556. C₁₃	#60219	semidirect

Maximal subgroups

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

subgroup	index
#13131676	2
#13131675	2
#13131671	2
#13131670	2
#13131666	2
#13131665	2
#13131663	2
#13131661	2
#13131660	2
#13131659	2
#13131658	2
#13131655	2
#13131654	2
#13131651	2
#13131647	2
#13131646	2
#13131637	2
C₂×#11719078	2
#13131580	2
#13131578	2
#13131564	2
#13131559	2
#13131534	2
#13131531	2
#13131407	2
C₄×#88238	2
#13128430	2
#60219	13