Subgroups — #16809573

Order 3328.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131792	C₂	1	1	yes	maximal, characteristic, complemented
2	#13131791	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131785	C₂	1	1	yes	maximal, characteristic, complemented
4	#13131780	C₂	1	1	yes	maximal, characteristic, complemented
5	#13131774	C₂	1	1	yes	maximal, characteristic, complemented
6	#13131773	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131765	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131760	C₂	1	1	yes	maximal, characteristic, complemented
9	#13131758	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131756	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131750	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131748	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131742	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131737	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131733	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131678	C₂	1	1	yes	maximal, characteristic, complemented
17	#13131676	C₂	1	1	yes	maximal, characteristic, complemented
18	#13131675	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131671	C₂	1	1	yes	maximal, characteristic, complemented
20	#13131666	C₂	1	1	yes	maximal, characteristic, complemented
21	#13131662	C₂	1	1	yes	maximal, characteristic, complemented
22	#13131659	C₂	1	1	yes	maximal, characteristic, complemented
23	#13131656	C₂	1	1	yes	maximal, characteristic, complemented
24	#13131654	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131647	C₂	1	1	yes	maximal, characteristic, complemented
26	#13131638	C₂	1	1	yes	maximal, characteristic, complemented
27	#13131633	C₂	1	1	yes	maximal, characteristic, complemented
28	#13131629	C₂	1	1	yes	maximal, characteristic, complemented
29	#13131627	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃⋊#446	C₂	1	1	yes	maximal, characteristic, complemented
31	#13128455	C₂	1	1	yes	maximal, characteristic
32	C₁₃×#556	C₄	1	1	yes	characteristic
33	#11719433	C₂²	1	1	yes	characteristic
34	#11719432	C₄	1	1	yes	characteristic
35	#11719413	C₄	1	1	yes	characteristic
36	#11719413	C₄	1	1	yes	characteristic
37	#11719413	C₄	1	1	yes	characteristic
38	#11719413	C₄	1	1	yes	characteristic
39	#11719411	C₂²	1	1	yes	characteristic
40	#11719411	C₂²	1	1	yes	characteristic
41	#11719411	C₂²	1	1	yes	characteristic
42	#11719411	C₂²	1	1	yes	characteristic
43	#11719385	C₂²	1	1	yes	characteristic
44	#11719385	C₂²	1	1	yes	characteristic
45	#11719382	C₄	1	1	yes	characteristic
46	#11719382	C₄	1	1	yes	characteristic
47	#11719336	C₄	1	1	yes	characteristic
48	#11719336	C₄	1	1	yes	characteristic
49	#11719327	C₂²	1	1	yes	characteristic
50	#11719327	C₂²	1	1	yes	characteristic
51	#11719286	C₄	1	1	yes	characteristic
52	#11719286	C₄	1	1	yes	characteristic
53	C₄×#6131	C₂²	1	1	yes	characteristic
54	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
55	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
56	#11719272	C₄	1	1	yes	characteristic
57	#11719256	C₄	1	1	yes	characteristic
58	C₄×#6129	C₂²	1	1	yes	characteristic
59	#11719238	C₄	1	1	yes	characteristic
60	#11719238	C₄	1	1	yes	characteristic
61	#11719227	C₂²	1	1	yes	characteristic
62	#11719227	C₂²	1	1	yes	characteristic
63	#11719158	C₂²	1	1	yes	characteristic
64	#11719158	C₂²	1	1	yes	characteristic
65	#11719158	C₂²	1	1	yes	characteristic
66	#11719158	C₂²	1	1	yes	characteristic
67	#11719158	C₂²	1	1	yes	characteristic
68	#11719158	C₂²	1	1	yes	characteristic
69	#11719158	C₂²	1	1	yes	characteristic
70	#11719158	C₂²	1	1	yes	characteristic
71	#11719158	C₂²	1	1	yes	characteristic
72	#11719158	C₂²	1	1	yes	characteristic
73	#11719158	C₂²	1	1	yes	characteristic
74	#11719158	C₂²	1	1	yes	characteristic
75	#11719144	C₂²	1	1	yes	characteristic
76	#11719144	C₂²	1	1	yes	characteristic
77	#11719144	C₂²	1	1	yes	characteristic
78	#11719144	C₂²	1	1	yes	characteristic
79	#11719130	C₂²	1	1	yes	characteristic
80	#11719129	C₂²	1	1	yes	characteristic
81	#11719128	C₂²	1	1	yes	characteristic
82	#11719128	C₂²	1	1	yes	characteristic
83	#11719125	C₂²	1	1	yes	characteristic
84	C₂×#88112	C₂²	1	1	yes	characteristic
85	C₄×#6122	C₂²	1	1	yes	characteristic
86	C₂×#88110	C₂²	1	1	yes	characteristic
87	#11719080	C₂²	1	1	yes	characteristic
88	#11719080	C₂²	1	1	yes	characteristic
89	#11719080	C₂²	1	1	yes	characteristic
90	#11719080	C₂²	1	1	yes	characteristic
91	#11719079	C₂²	1	1	yes	characteristic
92	#11719079	C₂²	1	1	yes	characteristic
93	#11719078	C₂²	1	1	yes	characteristic
94	#11719078	C₂²	1	1	yes	characteristic
95	#11719078	C₂²	1	1	yes	characteristic
96	#11719078	C₂²	1	1	yes	characteristic
97	#11719078	C₂²	1	1	yes	characteristic
98	#11719078	C₂²	1	1	yes	characteristic
99	#11719078	C₂²	1	1	yes	characteristic
100	#11719078	C₂²	1	1	yes	characteristic
101	#11719078	C₂²	1	1	yes	characteristic
102	#11719078	C₂²	1	1	yes	characteristic
103	#11719078	C₂²	1	1	yes	characteristic
104	#11719078	C₂²	1	1	yes	characteristic
105	#11719078	C₂²	1	1	yes	characteristic
106	#11719078	C₂²	1	1	yes	characteristic
107	#11719078	C₂²	1	1	yes	characteristic
108	#11719078	C₂²	1	1	yes	characteristic
109	#11719078	C₂²	1	1	yes	characteristic
110	#11719078	C₂²	1	1	yes	characteristic
111	#11719078	C₂²	1	1	yes	characteristic
112	#11719078	C₂²	1	1	yes	characteristic
113	#11719077	C₂²	1	1	yes	characteristic
114	#11719077	C₂²	1	1	yes	characteristic
115	#11719077	C₂²	1	1	yes	characteristic
116	#11719077	C₂²	1	1	yes	characteristic
117	#11719076	C₂²	1	1	yes	characteristic
118	#11719076	C₂²	1	1	yes	characteristic
119	#11719075	C₂²	1	1	yes	characteristic
120	#11719075	C₂²	1	1	yes	characteristic
121	#11719075	C₂²	1	1	yes	characteristic
122	#11719075	C₂²	1	1	yes	characteristic
123	#11719075	C₂²	1	1	yes	characteristic
124	#11719075	C₂²	1	1	yes	characteristic
125	#11719075	C₂²	1	1	yes	characteristic
126	#11719075	C₂²	1	1	yes	characteristic
127	#11719074	C₂²	1	1	yes	characteristic
128	#11719074	C₂²	1	1	yes	characteristic
129	#11719074	C₂²	1	1	yes	characteristic
130	#11719074	C₂²	1	1	yes	characteristic
131	#11719073	C₂²	1	1	yes	characteristic
132	#11719073	C₂²	1	1	yes	characteristic
133	#11719072	C₂²	1	1	yes	characteristic
134	#11719072	C₂²	1	1	yes	characteristic
135	#11719068	C₂²	1	1	yes	characteristic
136	#11719068	C₂²	1	1	yes	characteristic
137	#11719068	C₂²	1	1	yes	characteristic
138	#11719068	C₂²	1	1	yes	characteristic
139	#11719068	C₂²	1	1	yes	characteristic
140	#11719068	C₂²	1	1	yes	characteristic
141	#11719068	C₂²	1	1	yes	characteristic
142	#11719068	C₂²	1	1	yes	characteristic
143	#11719067	C₂²	1	1	yes	characteristic
144	#11719067	C₂²	1	1	yes	characteristic
145	#11719067	C₂²	1	1	yes	characteristic
146	#11719067	C₂²	1	1	yes	characteristic
147	#11719066	C₂²	1	1	yes	characteristic
148	#11719066	C₂²	1	1	yes	characteristic
149	#11719066	C₂²	1	1	yes	characteristic
150	#11719066	C₂²	1	1	yes	characteristic
151	#11719066	C₂²	1	1	yes	characteristic
152	#11719066	C₂²	1	1	yes	characteristic
153	#11719065	C₂²	1	1	yes	characteristic
154	#11719065	C₂²	1	1	yes	characteristic
155	#11719065	C₂²	1	1	yes	characteristic
156	#11719065	C₂²	1	1	yes	characteristic
157	#11719065	C₂²	1	1	yes	characteristic
158	#11719065	C₂²	1	1	yes	characteristic
159	#11719064	C₂²	1	1	yes	characteristic
160	#11719064	C₂²	1	1	yes	characteristic
161	#11719064	C₂²	1	1	yes	characteristic
162	#11719064	C₂²	1	1	yes	characteristic
163	#11719064	C₂²	1	1	yes	characteristic
164	#11719064	C₂²	1	1	yes	characteristic
165	#11719063	C₂²	1	1	yes	characteristic
166	#11719063	C₂²	1	1	yes	characteristic
167	#11719063	C₂²	1	1	yes	characteristic
168	#11719063	C₂²	1	1	yes	characteristic
169	#11719063	C₂²	1	1	yes	characteristic
170	#11719063	C₂²	1	1	yes	characteristic
171	#11719062	C₂²	1	1	yes	characteristic
172	#11719062	C₂²	1	1	yes	characteristic
173	#11719062	C₂²	1	1	yes	characteristic
174	#11719062	C₂²	1	1	yes	characteristic
175	#11719055	C₂²	1	1	yes	characteristic
176	#11719055	C₂²	1	1	yes	characteristic
177	#11719055	C₂²	1	1	yes	characteristic
178	#11719055	C₂²	1	1	yes	characteristic
179	#11719055	C₂²	1	1	yes	characteristic
180	#11719055	C₂²	1	1	yes	characteristic
181	#11719054	C₂²	1	1	yes	characteristic
182	#11719054	C₂²	1	1	yes	characteristic
183	#11719054	C₂²	1	1	yes	characteristic
184	#11719053	C₂²	1	1	yes	characteristic
185	#11719053	C₂²	1	1	yes	characteristic
186	#11719053	C₂²	1	1	yes	characteristic
187	#11719052	C₂²	1	1	yes	characteristic
188	#11719051	C₂²	1	1	yes	characteristic
189	#11719051	C₂²	1	1	yes	characteristic
190	D₁₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
191	D₁₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
192	D₁₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
193	#11719049	C₂²	1	1	yes	characteristic
194	#11719049	C₂²	1	1	yes	characteristic
195	#11719049	C₂²	1	1	yes	characteristic
196	C₄×#6118	C₂²	1	1	yes	characteristic
197	C₄×#6118	C₂²	1	1	yes	characteristic
198	C₄×#6118	C₂²	1	1	yes	characteristic
199	#11719047	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×#6131	C₂×C₄	1	1	yes	characteristic
204	C₂×Q₈×D₁₃	C₂×C₄	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂×C₄	1	1	yes	characteristic
206	C₂×#6129	C₂×C₄	1	1	yes	characteristic
207	C₂×#6127	C₂×C₄	1	1	yes	characteristic
208	C₂×#6127	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	C₂²×#1057	C₂³	1	1	yes	characteristic
214	C₂²×#1057	C₂³	1	1	yes	characteristic
215	C₂²×#1057	C₂³	1	1	yes	characteristic
216	C₂²×#1057	C₂³	1	1	yes	characteristic
217	C₂×#6118	C₂³	1	1	yes	characteristic
218	C₂×#6118	C₂³	1	1	yes	characteristic
219	C₂×#6118	C₂³	1	1	yes	characteristic
220	C₂×#6118	C₂³	1	1	yes	characteristic
221	C₂×#6118	C₂³	1	1	yes	characteristic
222	C₂×#6118	C₂³	1	1	yes	characteristic
223	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
224	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
225	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
226	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
227	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
228	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
230	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
231	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
232	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
233	C₁₃×#126	C₂×C₄	1	1	yes	characteristic
234	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
235	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
236	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
237	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
240	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
242	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
243	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
244	#88200	C₂×C₄	1	1	yes	characteristic
245	#88200	C₂×C₄	1	1	yes	characteristic
246	#88200	C₂×C₄	1	1	yes	characteristic
247	#88200	C₂×C₄	1	1	yes	characteristic
248	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
249	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
250	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
251	#88198	C₂×C₄	1	1	yes	characteristic
252	#88198	C₂×C₄	1	1	yes	characteristic
253	#88192	C₂×C₄	1	1	yes	characteristic
254	#88192	C₂×C₄	1	1	yes	characteristic
255	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
256	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
257	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
258	#88178	C₂×C₄	1	1	yes	characteristic
259	#88178	C₂×C₄	1	1	yes	characteristic
260	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
262	#88151	C₂×C₄	1	1	yes	characteristic
263	#88151	C₂×C₄	1	1	yes	characteristic
264	#88150	C₂×C₄	1	1	yes	characteristic
265	#88150	C₂×C₄	1	1	yes	characteristic
266	#88150	C₂×C₄	1	1	yes	characteristic
267	#88150	C₂×C₄	1	1	yes	characteristic
268	#88148	C₂×C₄	1	1	yes	characteristic
269	#88148	C₂×C₄	1	1	yes	characteristic
270	#88148	C₂×C₄	1	1	yes	characteristic
271	#88148	C₂×C₄	1	1	yes	characteristic
272	#88147	C₂×C₄	1	1	yes	characteristic
273	#88147	C₂×C₄	1	1	yes	characteristic
274	#88147	C₂³	1	1	yes	characteristic
275	#88147	C₂³	1	1	yes	characteristic
276	#88147	C₂³	1	1	yes	characteristic
277	#88146	C₂×C₄	1	1	yes	characteristic
278	#88146	C₂×C₄	1	1	yes	characteristic
279	#88146	C₂×C₄	1	1	yes	characteristic
280	#88146	C₂×C₄	1	1	yes	characteristic
281	#88146	C₂³	1	1	yes	characteristic
282	#88146	C₂³	1	1	yes	characteristic
283	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
284	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
285	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
286	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
287	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
288	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
289	#88144	C₂×C₄	1	1	yes	characteristic
290	#88144	C₂×C₄	1	1	yes	characteristic
291	#88143	C₂×C₄	1	1	yes	characteristic
292	#88143	C₂×C₄	1	1	yes	characteristic
293	#88143	C₂×C₄	1	1	yes	characteristic
294	#88143	C₂×C₄	1	1	yes	characteristic
295	#88143	C₂×C₄	1	1	yes	characteristic
296	#88143	C₂×C₄	1	1	yes	characteristic
297	#88143	C₂×C₄	1	1	yes	characteristic
298	#88143	C₂×C₄	1	1	yes	characteristic
299	#88142	C₂×C₄	1	1	yes	characteristic
300	#88142	C₂×C₄	1	1	yes	characteristic
301	#88141	C₂×C₄	1	1	yes	characteristic
302	#88141	C₂×C₄	1	1	yes	characteristic
303	#88141	C₂³	1	1	yes	characteristic
304	#88141	C₂³	1	1	yes	characteristic
305	#88141	C₂³	1	1	yes	characteristic
306	#88141	C₂³	1	1	yes	characteristic
307	#88141	C₂³	1	1	yes	characteristic
308	#88141	C₂³	1	1	yes	characteristic
309	#88141	C₂³	1	1	yes	characteristic
310	#88139	C₂×C₄	1	1	yes	characteristic
311	#88139	C₂×C₄	1	1	yes	characteristic
312	#88139	C₂×C₄	1	1	yes	characteristic
313	#88139	C₂×C₄	1	1	yes	characteristic
314	#88138	C₂×C₄	1	1	yes	characteristic
315	#88138	C₂×C₄	1	1	yes	characteristic
316	#88138	C₂×C₄	1	1	yes	characteristic
317	#88138	C₂×C₄	1	1	yes	characteristic
318	#88137	C₂×C₄	1	1	yes	characteristic
319	#88137	C₂×C₄	1	1	yes	characteristic
320	#88137	C₂×C₄	1	1	yes	characteristic
321	#88137	C₂×C₄	1	1	yes	characteristic
322	#88137	C₂×C₄	1	1	yes	characteristic
323	#88137	C₂×C₄	1	1	yes	characteristic
324	#88137	C₂×C₄	1	1	yes	characteristic
325	#88137	C₂×C₄	1	1	yes	characteristic
326	#88135	C₂×C₄	1	1	yes	characteristic
327	#88135	C₂×C₄	1	1	yes	characteristic
328	#88135	C₂×C₄	1	1	yes	characteristic
329	#88135	C₂×C₄	1	1	yes	characteristic
330	#88135	C₂³	1	1	yes	characteristic
331	#88135	C₂³	1	1	yes	characteristic
332	#88135	C₂³	1	1	yes	characteristic
333	#88135	C₂³	1	1	yes	characteristic
334	#88135	C₂³	1	1	yes	characteristic
335	#88135	C₂³	1	1	yes	characteristic
336	#88133	C₂×C₄	1	1	yes	characteristic
337	#88133	C₂×C₄	1	1	yes	characteristic
338	#88133	C₂×C₄	1	1	yes	characteristic
339	#88133	C₂×C₄	1	1	yes	characteristic
340	#88132	C₂×C₄	1	1	yes	characteristic
341	#88132	C₂×C₄	1	1	yes	characteristic
342	#88132	C₂×C₄	1	1	yes	characteristic
343	#88132	C₂×C₄	1	1	yes	characteristic
344	#88131	C₂×C₄	1	1	yes	characteristic
345	#88131	C₂×C₄	1	1	yes	characteristic
346	#88131	C₂³	1	1	yes	characteristic
347	#88131	C₂³	1	1	yes	characteristic
348	#88131	C₂³	1	1	yes	characteristic
349	#88131	C₂³	1	1	yes	characteristic
350	#88130	C₂×C₄	1	1	yes	characteristic
351	#88130	C₂×C₄	1	1	yes	characteristic
352	#88130	C₂×C₄	1	1	yes	characteristic
353	#88130	C₂×C₄	1	1	yes	characteristic
354	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
355	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
356	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
357	#88126	C₂×C₄	1	1	yes	characteristic
358	#88126	C₂×C₄	1	1	yes	characteristic
359	#88126	C₂×C₄	1	1	yes	characteristic
360	#88126	C₂×C₄	1	1	yes	characteristic
361	C₄²×D₁₃	C₂³	1	1	yes	characteristic
362	C₄²×D₁₃	C₂³	1	1	yes	characteristic
363	C₄²×D₁₃	C₂³	1	1	yes	characteristic
364	C₄²×D₁₃	C₂³	1	1	yes	characteristic
365	C₄²×D₁₃	C₂³	1	1	yes	characteristic
366	C₄²×D₁₃	C₂³	1	1	yes	characteristic
367	C₄²×D₁₃	C₂³	1	1	yes	characteristic
368	#88124	C₂×C₄	1	1	yes	characteristic
369	#88124	C₂×C₄	1	1	yes	characteristic
370	#88123	C₂×C₄	1	1	yes	characteristic
371	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
372	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
373	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
374	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
375	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
376	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
377	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
378	C₂²⋊#1057	C₂³	1	1	yes	characteristic
379	C₂²⋊#1057	C₂³	1	1	yes	characteristic
380	C₂²⋊#1057	C₂³	1	1	yes	characteristic
381	C₂²⋊#1057	C₂³	1	1	yes	characteristic
382	C₂²⋊#1057	C₂³	1	1	yes	characteristic
383	C₂²⋊#1057	C₂³	1	1	yes	characteristic
384	C₂²⋊#1057	C₂³	1	1	yes	characteristic
385	C₂²⋊#1057	C₂³	1	1	yes	characteristic
386	#88112	C₂³	1	1	yes	characteristic
387	#88112	C₂³	1	1	yes	characteristic
388	#88112	C₂³	1	1	yes	characteristic
389	#88112	C₂³	1	1	yes	characteristic
390	#88112	C₂³	1	1	yes	characteristic
391	#88112	C₂³	1	1	yes	characteristic
392	#88112	C₂³	1	1	yes	characteristic
393	#88112	C₂³	1	1	yes	characteristic
394	#88112	C₂³	1	1	yes	characteristic
395	#88112	C₂³	1	1	yes	characteristic
396	#88112	C₂³	1	1	yes	characteristic
397	#88112	C₂³	1	1	yes	characteristic
398	#88112	C₂³	1	1	yes	characteristic
399	#88112	C₂³	1	1	yes	characteristic
400	#88112	C₂³	1	1	yes	characteristic
401	#88112	C₂³	1	1	yes	characteristic
402	#88112	C₂³	1	1	yes	characteristic
403	#88112	C₂³	1	1	yes	characteristic
404	#88112	C₂³	1	1	yes	characteristic
405	#88112	C₂³	1	1	yes	characteristic
406	#88112	C₂³	1	1	yes	characteristic
407	#88112	C₂³	1	1	yes	characteristic
408	#88112	C₂³	1	1	yes	characteristic
409	#88112	C₂³	1	1	yes	characteristic
410	#88111	C₂³	1	1	yes	characteristic
411	#88111	C₂³	1	1	yes	characteristic
412	#88111	C₂³	1	1	yes	characteristic
413	#88111	C₂³	1	1	yes	characteristic
414	#88111	C₂³	1	1	yes	characteristic
415	#88111	C₂³	1	1	yes	characteristic
416	#88111	C₂³	1	1	yes	characteristic
417	#88111	C₂³	1	1	yes	characteristic
418	#88111	C₂³	1	1	yes	characteristic
419	#88111	C₂³	1	1	yes	characteristic
420	#88111	C₂³	1	1	yes	characteristic
421	#88111	C₂³	1	1	yes	characteristic
422	#88110	C₂³	1	1	yes	characteristic
423	#88110	C₂³	1	1	yes	characteristic
424	#88110	C₂³	1	1	yes	characteristic
425	#88110	C₂³	1	1	yes	characteristic
426	#88110	C₂³	1	1	yes	characteristic
427	#88110	C₂³	1	1	yes	characteristic
428	#88110	C₂³	1	1	yes	characteristic
429	#88110	C₂³	1	1	yes	characteristic
430	#88110	C₂³	1	1	yes	characteristic
431	#88110	C₂³	1	1	yes	characteristic
432	#88110	C₂³	1	1	yes	characteristic
433	#88110	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	C₄⋊#1057	C₂³	1	1	yes	characteristic
447	C₄⋊#1057	C₂³	1	1	yes	characteristic
448	C₄⋊#1057	C₂³	1	1	yes	characteristic
449	C₄⋊#1057	C₂³	1	1	yes	characteristic
450	C₄⋊#1057	C₂³	1	1	yes	characteristic
451	C₄⋊#1057	C₂³	1	1	yes	characteristic
452	C₄⋊#1057	C₂³	1	1	yes	characteristic
453	C₄⋊#1057	C₂³	1	1	yes	characteristic
454	C₄⋊#1057	C₂³	1	1	yes	characteristic
455	C₄⋊#1057	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	#60342	—	13	1	no	maximal, Sylow
479	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
481	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
482	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
483	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
484	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
485	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
493	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
494	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
495	#6131	—	4	2	no	—
496	Q₈×D₁₃	—	4	2	no	—
497	Q₈×D₁₃	—	4	2	no	—
498	#6129	—	4	2	no	—
499	#6127	—	4	2	no	—
500	#6127	—	4	2	no	—
501	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
522	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
523	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
524	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
525	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
526	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
527	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
528	#6122	—	2	2	no	—
529	#6122	—	4	1	no	—
530	#6122	—	4	1	no	—
531	#6122	—	4	1	no	—
532	C₂×#1057	—	2	2	no	—
533	C₂×#1057	—	4	1	no	—
534	C₂×#1057	—	4	1	no	—
535	C₂×#1057	—	4	1	no	—
536	C₂×#1057	C₂⁴	1	1	yes	characteristic
537	C₂×#1057	C₂⁴	1	1	yes	characteristic
538	C₂×#1057	C₂⁴	1	1	yes	characteristic
539	C₂×#1057	C₂⁴	1	1	yes	characteristic
540	C₂×#1057	C₂⁴	1	1	yes	characteristic
541	C₂×#1057	C₂⁴	1	1	yes	characteristic
542	C₂×#1057	C₂⁴	1	1	yes	characteristic
543	C₂×#1057	C₂⁴	1	1	yes	characteristic
544	C₂×#1057	C₂⁴	1	1	yes	characteristic
545	C₂×#1057	C₂⁴	1	1	yes	characteristic
546	C₂×#1057	C₂⁴	1	1	yes	characteristic
547	C₂×#1057	C₂⁴	1	1	yes	characteristic
548	C₂×#1057	C₂⁴	1	1	yes	characteristic
549	C₂×#1057	C₂⁴	1	1	yes	characteristic
550	C₂×#1057	C₂⁴	1	1	yes	characteristic
551	C₂×#1057	C₂⁴	1	1	yes	characteristic
552	#6118	—	2	2	no	—
553	#6118	—	4	1	no	—
554	#6118	—	4	1	no	—
555	#6118	—	4	1	no	—
556	#6118	—	4	1	no	—
557	#6118	—	4	1	no	—
558	D₁₃⋊C₈	—	2	2	no	—
559	D₁₃⋊C₈	—	2	2	no	—
560	D₁₃⋊C₈	—	4	1	no	—
561	D₁₃⋊C₈	—	4	1	no	—
562	D₁₃⋊C₈	—	4	1	no	—
563	D₁₃⋊C₈	—	4	1	no	—
564	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
587	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
588	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
589	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
590	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
591	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
592	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
593	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
594	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
595	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
596	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
597	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
598	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
599	#6103	C₂²×C₄	1	1	yes	characteristic
600	#6103	C₂²×C₄	1	1	yes	characteristic
601	#6103	C₂²×C₄	1	1	yes	characteristic
602	#6103	C₂²×C₄	1	1	yes	characteristic
603	#6103	C₂²×C₄	1	1	yes	characteristic
604	#6103	C₂²×C₄	1	1	yes	characteristic
605	#6103	C₂²×C₄	1	1	yes	characteristic
606	#6103	C₂²×C₄	1	1	yes	characteristic
607	#6103	C₂²×C₄	1	1	yes	characteristic
608	#6103	C₂²×C₄	1	1	yes	characteristic
609	#6103	C₂²×C₄	1	1	yes	characteristic
610	#6103	C₂²×C₄	1	1	yes	characteristic
611	#6103	C₂²×C₄	1	1	yes	characteristic
612	#6103	C₂²×C₄	1	1	yes	characteristic
613	#6103	C₂²×C₄	1	1	yes	characteristic
614	#6103	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
627	#6101	C₂²×C₄	1	1	yes	characteristic
628	#6101	C₂²×C₄	1	1	yes	characteristic
629	#6101	C₂²×C₄	1	1	yes	characteristic
630	#6101	C₂²×C₄	1	1	yes	characteristic
631	#6101	C₂²×C₄	1	1	yes	characteristic
632	#6101	C₂²×C₄	1	1	yes	characteristic
633	#6101	C₂²×C₄	1	1	yes	characteristic
634	#6101	C₂²×C₄	1	1	yes	characteristic
635	#6101	C₂²×C₄	1	1	yes	characteristic
636	#6101	C₂²×C₄	1	1	yes	characteristic
637	#6101	C₂²×C₄	1	1	yes	characteristic
638	#6101	C₂²×C₄	1	1	yes	characteristic
639	#6101	C₂²×C₄	1	1	yes	characteristic
640	#6101	C₂²×C₄	1	1	yes	characteristic
641	#6101	C₂²×C₄	1	1	yes	characteristic
642	#6101	C₂²×C₄	1	1	yes	characteristic
643	#6101	C₂²×C₄	1	1	yes	characteristic
644	#6101	C₂²×C₄	1	1	yes	characteristic
645	#6101	C₂²×C₄	1	1	yes	characteristic
646	#6101	C₂²×C₄	1	1	yes	characteristic
647	#6101	C₂²×C₄	1	1	yes	characteristic
648	#6101	C₂²×C₄	1	1	yes	characteristic
649	#6101	C₂²×C₄	1	1	yes	characteristic
650	#6101	C₂²×C₄	1	1	yes	characteristic
651	#6101	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	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
661	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
663	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
664	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
665	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
666	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
670	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
671	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
672	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
673	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
674	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
675	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
676	#3482	—	13	1	no	—
677	#2995	—	13	1	no	—
678	#2995	—	13	1	no	—
679	#2994	—	13	1	no	—
680	#2993	—	13	1	no	—
681	#2992	—	13	1	no	—
682	#2992	—	13	1	no	—
683	#2990	—	13	1	no	—
684	#2989	—	13	1	no	—
685	#2989	—	13	1	no	—
686	#2989	—	13	1	no	—
687	#2987	—	13	1	no	—
688	#2987	—	13	1	no	—
689	#2985	—	13	1	no	—
690	#2984	—	13	1	no	—
691	#2983	—	13	1	no	—
692	#2970	—	13	1	no	—
693	#2970	—	13	1	no	—
694	#2970	—	13	1	no	—
695	#2969	—	13	1	no	—
696	#2968	—	13	1	no	—
697	#2968	—	13	1	no	—
698	#2967	—	13	1	no	—
699	#2967	—	13	1	no	—
700	#2966	—	13	1	no	—
701	#2965	—	13	1	no	—
702	Q₈×M₁₆	—	13	1	no	—
703	#2962	—	13	1	no	—
704	#2961	—	13	1	no	—
705	#2961	—	13	1	no	—
706	C₂×#446	—	13	1	no	—
707	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
708	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
709	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
710	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
711	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
712	Q₈×C₁₃	—	4	1	no	—
713	Q₈×C₁₃	—	4	1	no	—
714	Q₈×C₁₃	—	4	1	no	—
715	D₄×C₁₃	—	4	1	no	—
716	C₂×C₄×C₁₃	—	4	1	no	—
717	C₂×C₄×C₁₃	—	4	1	no	—
718	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
724	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
725	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
726	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
727	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
728	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
729	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
730	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
731	C₂²⋊D₁₃	—	2	2	no	—
732	C₂²⋊D₁₃	—	2	2	no	—
733	C₂²⋊D₁₃	—	2	2	no	—
734	C₂²⋊D₁₃	—	4	1	no	—
735	C₂²⋊D₁₃	—	4	1	no	—
736	C₂²⋊D₁₃	—	4	1	no	—
737	C₂×Dic₁₃	—	2	2	no	—
738	C₂×Dic₁₃	—	2	1	no	—
739	C₂×Dic₁₃	—	2	1	no	—
740	C₂×Dic₁₃	—	2	1	no	—
741	C₂×Dic₁₃	—	2	1	no	—
742	C₂×Dic₁₃	—	4	1	no	—
743	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
745	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
746	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
747	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
748	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
749	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
750	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
751	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
752	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
754	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
755	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
756	D₅₂	—	2	2	no	—
757	D₅₂	—	2	2	no	—
758	D₅₂	—	4	1	no	—
759	C₄×D₁₃	—	2	2	no	—
760	C₄×D₁₃	—	2	2	no	—
761	C₄×D₁₃	—	2	2	no	—
762	C₄×D₁₃	—	2	2	no	—
763	C₄×D₁₃	—	2	2	no	—
764	C₄×D₁₃	—	2	1	no	—
765	C₄×D₁₃	—	2	1	no	—
766	C₄×D₁₃	—	2	1	no	—
767	C₄×D₁₃	—	2	1	no	—
768	C₄×D₁₃	—	2	1	no	—
769	C₄×D₁₃	—	2	1	no	—
770	C₄×D₁₃	—	4	1	no	—
771	C₄×D₁₃	—	4	1	no	—
772	C₄×D₁₃	—	4	1	no	—
773	C₄×D₁₃	—	4	1	no	—
774	C₄×D₁₃	—	4	1	no	—
775	C₄×D₁₃	—	4	1	no	—
776	C₄×D₁₃	—	4	1	no	—
777	C₄×D₁₃	—	4	1	no	—
778	C₄×D₁₃	—	4	1	no	—
779	Dic₂₆	—	2	2	no	—
780	Dic₂₆	—	2	2	no	—
781	Dic₂₆	—	2	2	no	—
782	Dic₂₆	—	4	1	no	—
783	Dic₂₆	—	4	1	no	—
784	Dic₂₆	—	4	1	no	—
785	Dic₂₆	—	4	1	no	—
786	#1057	—	2	1	no	—
787	#1057	—	2	1	no	—
788	#1057	—	2	1	no	—
789	#1057	—	2	1	no	—
790	#1057	—	2	1	no	—
791	#1057	—	2	1	no	—
792	#1057	—	2	1	no	—
793	#1057	—	2	1	no	—
794	#1057	—	2	1	no	—
795	#1057	—	2	1	no	—
796	#1057	—	2	1	no	—
797	#1057	—	2	1	no	—
798	#1057	—	2	1	no	—
799	#1057	—	2	1	no	—
800	#1057	—	2	1	no	—
801	#1057	2₋¹⁺⁴	1	2	yes	—
802	#557	—	13	1	no	—
803	#556	—	13	1	no	—
804	#556	—	13	1	no	—
805	#556	#261	1	1	yes	characteristic
806	#552	—	13	1	no	—
807	#552	—	13	1	no	—
808	#552	—	13	1	no	—
809	#552	—	13	1	no	—
810	#552	—	13	1	no	—
811	#552	—	13	1	no	—
812	D₄×Q₈	—	13	1	no	—
813	#548	—	13	1	no	—
814	#548	—	13	1	no	—
815	#547	—	13	1	no	—
816	#547	—	13	1	no	—
817	#547	—	13	1	no	—
818	#533	—	13	1	no	—
819	#533	—	13	1	no	—
820	#533	—	13	1	no	—
821	#529	—	13	1	no	—
822	#529	—	13	1	no	—
823	#529	—	13	1	no	—
824	#529	—	13	1	no	—
825	#529	—	13	1	no	—
826	#529	—	13	1	no	—
827	C₄×#41	—	13	1	no	—
828	C₄×#41	—	13	1	no	—
829	C₄×#41	—	13	1	no	—
830	C₄×#41	—	13	1	no	—
831	C₂×C₄×Q₈	—	13	1	no	—
832	C₂×C₄×Q₈	—	13	1	no	—
833	#446	—	13	1	no	—
834	#446	—	13	1	no	—
835	#446	—	13	1	no	—
836	#446	—	13	1	no	—
837	#446	—	13	1	no	—
838	#446	—	13	1	no	—
839	#446	—	13	1	no	—
840	#446	—	13	1	no	—
841	#446	—	13	1	no	—
842	#446	—	13	1	no	—
843	#446	—	13	1	no	—
844	#446	—	13	1	no	—
845	#446	—	13	1	no	—
846	#446	—	13	1	no	—
847	#446	—	13	1	no	—
848	#446	—	13	1	no	—
849	#446	—	13	1	no	—
850	#446	—	13	1	no	—
851	#446	—	13	1	no	—
852	#446	—	13	1	no	—
853	#446	—	13	1	no	—
854	#446	—	13	1	no	—
855	#446	—	13	1	no	—
856	#446	—	13	1	no	—
857	#446	—	13	1	no	—
858	#446	—	13	1	no	—
859	#446	—	13	1	no	—
860	#446	—	13	1	no	—
861	#446	—	13	1	no	—
862	#446	—	13	1	no	—
863	#446	—	13	1	no	—
864	#446	—	13	1	no	—
865	#446	—	13	1	no	—
866	#446	—	13	1	no	—
867	#446	—	13	1	no	—
868	#446	—	13	1	no	—
869	C₈×Q₈	—	13	1	no	—
870	C₈×Q₈	—	13	1	no	—
871	C₈×Q₈	—	13	1	no	—
872	C₈×Q₈	—	13	1	no	—
873	#436	—	13	1	no	—
874	#436	—	13	1	no	—
875	#436	—	13	1	no	—
876	#436	—	13	1	no	—
877	#436	—	13	1	no	—
878	#436	—	13	1	no	—
879	#436	—	13	1	no	—
880	#436	—	13	1	no	—
881	#435	—	13	1	no	—
882	#435	—	13	1	no	—
883	#435	—	13	1	no	—
884	#435	—	13	1	no	—
885	#435	—	13	1	no	—
886	#435	—	13	1	no	—
887	#435	—	13	1	no	—
888	#435	—	13	1	no	—
889	#435	—	13	1	no	—
890	#435	—	13	1	no	—
891	#435	—	13	1	no	—
892	#435	—	13	1	no	—
893	#435	—	13	1	no	—
894	#435	—	13	1	no	—
895	#435	—	13	1	no	—
896	#435	—	13	1	no	—
897	#435	—	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	C₈×D₄	—	13	1	no	—
906	C₈×D₄	—	13	1	no	—
907	C₈×D₄	—	13	1	no	—
908	C₈×D₄	—	13	1	no	—
909	C₈×D₄	—	13	1	no	—
910	C₈×D₄	—	13	1	no	—
911	C₈×D₄	—	13	1	no	—
912	C₈×D₄	—	13	1	no	—
913	#433	—	13	1	no	—
914	#433	—	13	1	no	—
915	#433	—	13	1	no	—
916	#433	—	13	1	no	—
917	#433	—	13	1	no	—
918	#433	—	13	1	no	—
919	#433	—	13	1	no	—
920	#433	—	13	1	no	—
921	#433	—	13	1	no	—
922	#433	—	13	1	no	—
923	#433	—	13	1	no	—
924	#433	—	13	1	no	—
925	#432	—	13	1	no	—
926	#432	—	13	1	no	—
927	#432	—	13	1	no	—
928	#432	—	13	1	no	—
929	#432	—	13	1	no	—
930	#432	—	13	1	no	—
931	#432	—	13	1	no	—
932	#432	—	13	1	no	—
933	#432	—	13	1	no	—
934	#432	—	13	1	no	—
935	#432	—	13	1	no	—
936	#432	—	13	1	no	—
937	#431	—	13	1	no	—
938	#431	—	13	1	no	—
939	#431	—	13	1	no	—
940	#431	—	13	1	no	—
941	#431	—	13	1	no	—
942	#431	—	13	1	no	—
943	#424	—	13	1	no	—
944	#424	—	13	1	no	—
945	#424	—	13	1	no	—
946	#424	—	13	1	no	—
947	#424	—	13	1	no	—
948	#424	—	13	1	no	—
949	#423	—	13	1	no	—
950	#423	—	13	1	no	—
951	#423	—	13	1	no	—
952	#423	—	13	1	no	—
953	#423	—	13	1	no	—
954	C₂×C₄⋊C₈	—	13	1	no	—
955	C₂×C₄⋊C₈	—	13	1	no	—
956	C₂×C₄⋊C₈	—	13	1	no	—
957	C₂×C₄⋊C₈	—	13	1	no	—
958	#405	—	13	1	no	—
959	#405	—	13	1	no	—
960	#405	—	13	1	no	—
961	#405	—	13	1	no	—
962	#405	—	13	1	no	—
963	#405	—	13	1	no	—
964	C₄×M₁₆	—	13	1	no	—
965	C₄×M₁₆	—	13	1	no	—
966	C₄×M₁₆	—	13	1	no	—
967	C₄×M₁₆	—	13	1	no	—
968	C₂×#97	—	13	1	no	—
969	C₂×#97	—	13	1	no	—
970	C₂×#97	—	13	1	no	—
971	C₂×#97	—	13	1	no	—
972	C₂×C₄×C₈	—	13	1	no	—
973	C₂²×C₁₃	—	2	1	no	—
974	C₂²×C₁₃	—	2	1	no	—
975	C₂²×C₁₃	—	2	1	no	—
976	C₂²×C₁₃	—	2	1	no	—
977	C₂²×C₁₃	—	2	1	no	—
978	C₂²×C₁₃	—	2	1	no	—
979	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
980	C₂×D₁₃	—	2	1	no	—
981	C₂×D₁₃	—	2	1	no	—
982	C₂×D₁₃	—	2	1	no	—
983	C₂×D₁₃	—	2	1	no	—
984	C₂×D₁₃	—	2	1	no	—
985	C₂×D₁₃	—	2	1	no	—
986	C₂×D₁₃	—	2	1	no	—
987	C₂×D₁₃	—	2	1	no	—
988	C₂×D₁₃	#568	1	2	yes	—
989	C₄×C₁₃	—	2	1	no	—
990	C₄×C₁₃	—	2	1	no	—
991	C₄×C₁₃	—	2	1	no	—
992	C₄×C₁₃	—	2	1	no	—
993	C₄×C₁₃	—	2	1	no	—
994	C₄×C₁₃	—	2	1	no	—
995	C₄×C₁₃	—	2	1	no	—
996	C₄×C₁₃	—	2	1	no	—
997	C₄×C₁₃	—	2	1	no	—
998	C₄×C₁₃	—	2	1	no	—
999	C₄×C₁₃	—	2	1	no	—
1000	C₄×C₁₃	—	2	1	no	—
1001	C₄×C₁₃	—	2	1	no	—
1002	Dic₁₃	—	2	1	no	—
1003	Dic₁₃	—	2	1	no	—
1004	Dic₁₃	—	2	1	no	—
1005	Dic₁₃	—	2	1	no	—
1006	Dic₁₃	—	2	1	no	—
1007	Dic₁₃	—	2	1	no	—
1008	Dic₁₃	—	2	1	no	—
1009	Dic₁₃	—	2	1	no	—
1010	Dic₁₃	—	2	1	no	—
1011	Dic₁₃	—	2	1	no	—
1012	Dic₁₃	—	2	1	no	—
1013	Dic₁₃	#568	1	2	yes	—
1014	Dic₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1015	Dic₁₃	#585	1	1	yes	characteristic
1016	C₂×#41	—	13	1	no	—
1017	C₂×#41	—	13	1	no	—
1018	C₂×#41	—	13	1	no	—
1019	C₂×#41	—	13	1	no	—
1020	C₂²×Q₈	—	13	1	no	—
1021	C₂²×Q₈	—	13	1	no	—
1022	C₂×M₁₆	—	13	1	no	—
1023	C₂×M₁₆	—	13	1	no	—
1024	C₂×M₁₆	—	13	1	no	—
1025	C₂×M₁₆	—	13	1	no	—
1026	C₂×M₁₆	—	13	1	no	—
1027	C₂×M₁₆	—	13	1	no	—
1028	C₂×M₁₆	—	13	1	no	—
1029	C₂×M₁₆	—	13	1	no	—
1030	C₂×M₁₆	—	13	1	no	—
1031	C₂×M₁₆	—	13	1	no	—
1032	C₂²×C₈	—	13	1	no	—
1033	C₂²×C₈	—	13	1	no	—
1034	C₂²×C₈	—	13	1	no	—
1035	C₂²×C₈	—	13	1	no	—
1036	C₂²×C₈	—	13	1	no	—
1037	C₂²×C₈	—	13	1	no	—
1038	C₂²×C₈	—	13	1	no	—
1039	C₂²×C₈	—	13	1	no	—
1040	C₂²×C₈	—	13	1	no	—
1041	C₂²×C₈	—	13	1	no	—
1042	C₄⋊Q₈	—	13	1	no	—
1043	C₄⋊Q₈	—	13	1	no	—
1044	C₄⋊Q₈	—	13	1	no	—
1045	C₄⋊Q₈	—	13	1	no	—
1046	C₄⋊Q₈	—	13	1	no	—
1047	C₄⋊Q₈	C₂×#261	1	1	yes	characteristic
1048	#126	—	13	1	no	—
1049	#126	—	13	1	no	—
1050	#126	—	13	1	no	—
1051	#126	—	13	1	no	—
1052	#126	—	13	1	no	—
1053	#126	—	13	1	no	—
1054	#126	—	13	1	no	—
1055	#126	—	13	1	no	—
1056	#126	C₂×#261	1	1	yes	characteristic
1057	#126	C₂×#261	1	1	yes	characteristic
1058	#126	C₂×#261	1	1	yes	characteristic
1059	#126	C₂×#261	1	1	yes	characteristic
1060	#125	—	13	1	no	—
1061	#125	—	13	1	no	—
1062	#125	—	13	1	no	—
1063	#125	—	13	1	no	—
1064	#125	—	13	1	no	—
1065	#125	—	13	1	no	—
1066	#125	—	13	1	no	—
1067	#125	—	13	1	no	—
1068	#125	—	13	1	no	—
1069	#125	—	13	1	no	—
1070	#125	—	13	1	no	—
1071	#125	—	13	1	no	—
1072	#124	—	13	1	no	—
1073	#124	—	13	1	no	—
1074	#124	—	13	1	no	—
1075	#124	—	13	1	no	—
1076	#124	C₂×#261	1	1	yes	characteristic
1077	#124	C₂×#261	1	1	yes	characteristic
1078	#123	—	13	1	no	—
1079	#123	—	13	1	no	—
1080	#123	—	13	1	no	—
1081	#123	—	13	1	no	—
1082	#123	—	13	1	no	—
1083	#123	—	13	1	no	—
1084	#123	—	13	1	no	—
1085	#123	—	13	1	no	—
1086	#123	—	13	1	no	—
1087	#123	—	13	1	no	—
1088	#123	—	13	1	no	—
1089	#123	—	13	1	no	—
1090	C₂²⋊Q₈	—	13	1	no	—
1091	C₂²⋊Q₈	—	13	1	no	—
1092	C₂²⋊Q₈	—	13	1	no	—
1093	C₂²⋊Q₈	—	13	1	no	—
1094	C₂²⋊Q₈	—	13	1	no	—
1095	C₂²⋊Q₈	—	13	1	no	—
1096	C₂²⋊Q₈	—	13	1	no	—
1097	C₂²⋊Q₈	—	13	1	no	—
1098	C₂²⋊Q₈	—	13	1	no	—
1099	C₂²⋊Q₈	—	13	1	no	—
1100	C₂²⋊Q₈	—	13	1	no	—
1101	C₂²⋊Q₈	—	13	1	no	—
1102	C₂²⋊Q₈	—	13	1	no	—
1103	C₂²⋊Q₈	—	13	1	no	—
1104	C₂²⋊Q₈	—	13	1	no	—
1105	C₂²⋊Q₈	—	13	1	no	—
1106	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1107	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1108	#121	—	13	1	no	—
1109	#121	—	13	1	no	—
1110	#121	—	13	1	no	—
1111	#121	—	13	1	no	—
1112	#121	—	13	1	no	—
1113	#121	—	13	1	no	—
1114	C₄×Q₈	—	13	1	no	—
1115	C₄×Q₈	—	13	1	no	—
1116	C₄×Q₈	—	13	1	no	—
1117	C₄×Q₈	—	13	1	no	—
1118	C₄×Q₈	—	13	1	no	—
1119	C₄×Q₈	—	13	1	no	—
1120	C₄×Q₈	—	13	1	no	—
1121	C₄×Q₈	—	13	1	no	—
1122	C₄×Q₈	—	13	1	no	—
1123	C₄×Q₈	—	13	1	no	—
1124	C₄×Q₈	—	13	1	no	—
1125	C₄×Q₈	—	13	1	no	—
1126	C₄×Q₈	—	13	1	no	—
1127	C₄×Q₈	—	13	1	no	—
1128	C₄×Q₈	—	13	1	no	—
1129	C₄×Q₈	—	13	1	no	—
1130	C₄×Q₈	—	13	1	no	—
1131	C₄×Q₈	—	13	1	no	—
1132	C₄×Q₈	—	13	1	no	—
1133	C₄×Q₈	C₂×#261	1	1	yes	characteristic
1134	C₄×Q₈	C₂×#261	1	1	yes	characteristic
1135	C₄×Q₈	C₂×#261	1	1	yes	characteristic
1136	C₄×D₄	—	13	1	no	—
1137	C₄×D₄	—	13	1	no	—
1138	C₄×D₄	—	13	1	no	—
1139	C₄×D₄	—	13	1	no	—
1140	C₄×D₄	—	13	1	no	—
1141	C₄×D₄	—	13	1	no	—
1142	C₄×D₄	—	13	1	no	—
1143	C₄×D₄	—	13	1	no	—
1144	C₄×D₄	—	13	1	no	—
1145	C₄×D₄	—	13	1	no	—
1146	C₄×D₄	—	13	1	no	—
1147	C₄×D₄	—	13	1	no	—
1148	C₄×D₄	—	13	1	no	—
1149	C₄×D₄	—	13	1	no	—
1150	C₄×D₄	—	13	1	no	—
1151	C₄×D₄	—	13	1	no	—
1152	C₄×D₄	—	13	1	no	—
1153	C₄×D₄	—	13	1	no	—
1154	C₄×D₄	—	13	1	no	—
1155	C₄×D₄	—	13	1	no	—
1156	C₄×D₄	—	13	1	no	—
1157	C₄×D₄	C₂×#261	1	1	yes	characteristic
1158	#117	—	13	1	no	—
1159	#117	—	13	1	no	—
1160	#117	—	13	1	no	—
1161	#117	—	13	1	no	—
1162	#117	—	13	1	no	—
1163	#117	—	13	1	no	—
1164	#117	—	13	1	no	—
1165	#117	—	13	1	no	—
1166	#117	—	13	1	no	—
1167	#117	—	13	1	no	—
1168	#117	—	13	1	no	—
1169	#117	—	13	1	no	—
1170	#117	—	13	1	no	—
1171	#117	—	13	1	no	—
1172	#117	—	13	1	no	—
1173	#117	—	13	1	no	—
1174	#117	C₂×#261	1	1	yes	characteristic
1175	#117	C₂×#261	1	1	yes	characteristic
1176	C₂×C₄⋊C₄	—	13	1	no	—
1177	C₂×C₄⋊C₄	—	13	1	no	—
1178	C₂×C₄⋊C₄	—	13	1	no	—
1179	C₂×C₄⋊C₄	—	13	1	no	—
1180	C₂×C₄⋊C₄	—	13	1	no	—
1181	C₂×C₄⋊C₄	—	13	1	no	—
1182	C₂×C₄²	—	13	1	no	—
1183	C₂×C₄²	—	13	1	no	—
1184	C₂×C₄²	—	13	1	no	—
1185	C₂×C₄²	—	13	1	no	—
1186	C₂×C₄²	—	13	1	no	—
1187	C₂×C₄²	—	13	1	no	—
1188	C₂×C₄²	—	13	1	no	—
1189	C₂×C₄²	—	13	1	no	—
1190	C₂×C₄²	—	13	1	no	—
1191	C₄⋊C₈	—	13	1	no	—
1192	C₄⋊C₈	—	13	1	no	—
1193	C₄⋊C₈	—	13	1	no	—
1194	C₄⋊C₈	—	13	1	no	—
1195	C₄⋊C₈	—	13	1	no	—
1196	C₄⋊C₈	—	13	1	no	—
1197	C₄⋊C₈	—	13	1	no	—
1198	C₄⋊C₈	—	13	1	no	—
1199	C₄⋊C₈	—	13	1	no	—
1200	C₄⋊C₈	—	13	1	no	—
1201	C₄⋊C₈	—	13	1	no	—
1202	C₄⋊C₈	—	13	1	no	—
1203	C₄⋊C₈	—	13	1	no	—
1204	C₄⋊C₈	—	13	1	no	—
1205	C₄⋊C₈	—	13	1	no	—
1206	C₄⋊C₈	—	13	1	no	—
1207	C₄⋊C₈	—	13	1	no	—
1208	C₄⋊C₈	—	13	1	no	—
1209	C₄⋊C₈	—	13	1	no	—
1210	C₄⋊C₈	—	13	1	no	—
1211	C₄⋊C₈	—	13	1	no	—
1212	C₄⋊C₈	—	13	1	no	—
1213	C₄⋊C₈	—	13	1	no	—
1214	C₄⋊C₈	—	13	1	no	—
1215	C₄⋊C₈	—	13	1	no	—
1216	C₄⋊C₈	—	13	1	no	—
1217	C₄⋊C₈	—	13	1	no	—
1218	C₄⋊C₈	—	13	1	no	—
1219	C₄⋊C₈	—	13	1	no	—
1220	C₄⋊C₈	—	13	1	no	—
1221	C₄⋊C₈	—	13	1	no	—
1222	C₄⋊C₈	—	13	1	no	—
1223	C₄⋊C₈	—	13	1	no	—
1224	C₄⋊C₈	—	13	1	no	—
1225	C₄⋊C₈	—	13	1	no	—
1226	C₄⋊C₈	—	13	1	no	—
1227	C₄⋊C₈	—	13	1	no	—
1228	C₄⋊C₈	—	13	1	no	—
1229	C₄⋊C₈	—	13	1	no	—
1230	C₄⋊C₈	—	13	1	no	—
1231	C₂²⋊C₈	—	13	1	no	—
1232	C₂²⋊C₈	—	13	1	no	—
1233	C₂²⋊C₈	—	13	1	no	—
1234	C₂²⋊C₈	—	13	1	no	—
1235	C₂²⋊C₈	—	13	1	no	—
1236	C₂²⋊C₈	—	13	1	no	—
1237	C₂²⋊C₈	—	13	1	no	—
1238	C₂²⋊C₈	—	13	1	no	—
1239	C₂²⋊C₈	—	13	1	no	—
1240	C₂²⋊C₈	—	13	1	no	—
1241	C₂²⋊C₈	—	13	1	no	—
1242	C₂²⋊C₈	—	13	1	no	—
1243	C₂²⋊C₈	—	13	1	no	—
1244	C₂²⋊C₈	—	13	1	no	—
1245	C₂²⋊C₈	—	13	1	no	—
1246	C₂²⋊C₈	—	13	1	no	—
1247	C₂²⋊C₈	—	13	1	no	—
1248	C₂²⋊C₈	—	13	1	no	—
1249	C₂²⋊C₈	—	13	1	no	—
1250	C₂²⋊C₈	—	13	1	no	—
1251	#97	—	13	1	no	—
1252	#97	—	13	1	no	—
1253	#97	—	13	1	no	—
1254	#97	—	13	1	no	—
1255	#97	—	13	1	no	—
1256	#97	—	13	1	no	—
1257	#97	—	13	1	no	—
1258	#97	—	13	1	no	—
1259	#97	—	13	1	no	—
1260	#97	—	13	1	no	—
1261	#97	—	13	1	no	—
1262	#97	—	13	1	no	—
1263	#97	—	13	1	no	—
1264	#97	—	13	1	no	—
1265	#97	—	13	1	no	—
1266	#97	—	13	1	no	—
1267	#97	—	13	1	no	—
1268	#97	—	13	1	no	—
1269	#97	—	13	1	no	—
1270	#97	—	13	1	no	—
1271	#97	—	13	1	no	—
1272	#97	—	13	1	no	—
1273	#97	—	13	1	no	—
1274	#97	—	13	1	no	—
1275	C₄×C₈	—	13	1	no	—
1276	C₄×C₈	—	13	1	no	—
1277	C₄×C₈	—	13	1	no	—
1278	C₄×C₈	—	13	1	no	—
1279	C₄×C₈	—	13	1	no	—
1280	C₄×C₈	—	13	1	no	—
1281	C₄×C₈	—	13	1	no	—
1282	C₄×C₈	—	13	1	no	—
1283	C₄×C₈	—	13	1	no	—
1284	C₄×C₈	—	13	1	no	—
1285	C₄×C₈	—	13	1	no	—
1286	C₄×C₈	—	13	1	no	—
1287	C₄×C₈	—	13	1	no	—
1288	C₄×C₈	—	13	1	no	—
1289	C₄×C₈	—	13	1	no	—
1290	C₄×C₈	—	13	1	no	—
1291	C₂×C₁₃	—	4	1	no	—
1292	C₂×C₁₃	—	4	1	no	—
1293	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1294	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1295	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1296	D₁₃	—	2	2	no	—
1297	D₁₃	—	4	1	no	—
1298	D₁₃	—	4	1	no	—
1299	#41	—	52	2	no	—
1300	#41	—	52	2	no	—
1301	#41	—	52	2	no	—
1302	#41	—	52	2	no	—
1303	C₂×Q₈	—	13	1	no	—
1304	C₂×Q₈	—	13	1	no	—
1305	C₂×Q₈	—	13	1	no	—
1306	C₂×Q₈	—	13	1	no	—
1307	C₂×Q₈	—	13	1	no	—
1308	C₂×Q₈	—	13	1	no	—
1309	C₂×Q₈	—	13	1	no	—
1310	C₂×Q₈	—	52	2	no	—
1311	C₂×Q₈	—	52	2	no	—
1312	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1313	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1314	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1315	C₂×D₄	—	13	1	no	—
1316	C₂×D₄	—	13	1	no	—
1317	C₂×D₄	—	13	1	no	—
1318	C₂×D₄	—	13	1	no	—
1319	C₂×D₄	—	13	1	no	—
1320	C₂×D₄	—	13	1	no	—
1321	C₂×D₄	—	13	1	no	—
1322	C₂×D₄	—	13	1	no	—
1323	C₂×D₄	—	13	1	no	—
1324	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1325	C₂²×C₄	—	13	1	no	—
1326	C₂²×C₄	—	13	1	no	—
1327	C₂²×C₄	—	13	1	no	—
1328	C₂²×C₄	—	13	1	no	—
1329	C₂²×C₄	—	13	1	no	—
1330	C₂²×C₄	—	13	1	no	—
1331	C₂²×C₄	—	13	1	no	—
1332	C₂²×C₄	—	13	1	no	—
1333	C₂²×C₄	—	13	1	no	—
1334	C₂²×C₄	—	13	1	no	—
1335	C₂²×C₄	—	13	1	no	—
1336	C₂²×C₄	—	13	1	no	—
1337	C₂²×C₄	—	13	1	no	—
1338	C₂²×C₄	—	13	1	no	—
1339	C₂²×C₄	—	13	1	no	—
1340	C₂²×C₄	—	13	1	no	—
1341	C₂²×C₄	—	13	1	no	—
1342	C₂²×C₄	—	13	1	no	—
1343	C₂²×C₄	—	13	1	no	—
1344	C₂²×C₄	—	13	1	no	—
1345	C₂²×C₄	—	13	1	no	—
1346	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1347	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1348	M₁₆	—	26	2	no	—
1349	M₁₆	—	26	2	no	—
1350	M₁₆	—	52	1	no	—
1351	M₁₆	—	52	1	no	—
1352	M₁₆	—	52	1	no	—
1353	M₁₆	—	52	1	no	—
1354	M₁₆	—	52	1	no	—
1355	M₁₆	—	52	1	no	—
1356	M₁₆	—	52	1	no	—
1357	M₁₆	—	52	1	no	—
1358	C₂×C₈	—	13	1	no	—
1359	C₂×C₈	—	13	1	no	—
1360	C₂×C₈	—	13	1	no	—
1361	C₂×C₈	—	13	1	no	—
1362	C₂×C₈	—	13	1	no	—
1363	C₂×C₈	—	13	1	no	—
1364	C₂×C₈	—	13	1	no	—
1365	C₂×C₈	—	13	1	no	—
1366	C₂×C₈	—	13	1	no	—
1367	C₂×C₈	—	13	1	no	—
1368	C₂×C₈	—	13	1	no	—
1369	C₂×C₈	—	13	1	no	—
1370	C₂×C₈	—	13	1	no	—
1371	C₂×C₈	—	13	1	no	—
1372	C₂×C₈	—	13	1	no	—
1373	C₂×C₈	—	13	1	no	—
1374	C₂×C₈	—	26	2	no	—
1375	C₂×C₈	—	26	2	no	—
1376	C₂×C₈	—	26	2	no	—
1377	C₂×C₈	—	52	1	no	—
1378	C₂×C₈	—	52	1	no	—
1379	C₂×C₈	—	52	1	no	—
1380	C₂×C₈	—	52	1	no	—
1381	C₂×C₈	—	52	1	no	—
1382	C₂×C₈	—	52	1	no	—
1383	C₂×C₈	—	52	1	no	—
1384	C₄⋊C₄	—	13	1	no	—
1385	C₄⋊C₄	—	13	1	no	—
1386	C₄⋊C₄	—	13	1	no	—
1387	C₄⋊C₄	—	13	1	no	—
1388	C₄⋊C₄	—	13	1	no	—
1389	C₄⋊C₄	—	13	1	no	—
1390	C₄⋊C₄	—	13	1	no	—
1391	C₄⋊C₄	—	13	1	no	—
1392	C₄⋊C₄	—	13	1	no	—
1393	C₄⋊C₄	—	13	1	no	—
1394	C₄⋊C₄	—	13	1	no	—
1395	C₄⋊C₄	—	13	1	no	—
1396	C₄⋊C₄	—	13	1	no	—
1397	C₄⋊C₄	—	13	1	no	—
1398	C₄⋊C₄	—	13	1	no	—
1399	C₄⋊C₄	—	13	1	no	—
1400	C₄⋊C₄	—	13	1	no	—
1401	C₄⋊C₄	—	13	1	no	—
1402	C₄⋊C₄	—	13	1	no	—
1403	C₄⋊C₄	—	13	1	no	—
1404	C₄⋊C₄	—	13	1	no	—
1405	C₄⋊C₄	—	13	1	no	—
1406	C₄⋊C₄	—	13	1	no	—
1407	C₄⋊C₄	—	13	1	no	—
1408	C₄⋊C₄	—	13	1	no	—
1409	C₄⋊C₄	—	13	1	no	—
1410	C₄⋊C₄	—	13	1	no	—
1411	C₄⋊C₄	—	13	1	no	—
1412	C₄⋊C₄	—	13	1	no	—
1413	C₄⋊C₄	—	13	1	no	—
1414	C₄⋊C₄	—	13	1	no	—
1415	C₄⋊C₄	—	13	1	no	—
1416	C₄⋊C₄	—	13	1	no	—
1417	C₄⋊C₄	—	13	1	no	—
1418	C₄⋊C₄	—	13	1	no	—
1419	C₄⋊C₄	—	13	1	no	—
1420	C₄⋊C₄	—	13	1	no	—
1421	C₄⋊C₄	—	13	1	no	—
1422	C₄⋊C₄	—	13	1	no	—
1423	C₄⋊C₄	—	13	1	no	—
1424	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1425	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1426	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1427	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1428	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1429	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1430	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1431	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1432	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1433	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1434	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1435	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1436	C₂²⋊C₄	—	13	1	no	—
1437	C₂²⋊C₄	—	13	1	no	—
1438	C₂²⋊C₄	—	13	1	no	—
1439	C₂²⋊C₄	—	13	1	no	—
1440	C₂²⋊C₄	—	13	1	no	—
1441	C₂²⋊C₄	—	13	1	no	—
1442	C₂²⋊C₄	—	13	1	no	—
1443	C₂²⋊C₄	—	13	1	no	—
1444	C₂²⋊C₄	—	13	1	no	—
1445	C₂²⋊C₄	—	13	1	no	—
1446	C₂²⋊C₄	—	13	1	no	—
1447	C₂²⋊C₄	—	13	1	no	—
1448	C₂²⋊C₄	—	13	1	no	—
1449	C₂²⋊C₄	—	13	1	no	—
1450	C₂²⋊C₄	—	13	1	no	—
1451	C₂²⋊C₄	—	13	1	no	—
1452	C₂²⋊C₄	—	13	1	no	—
1453	C₂²⋊C₄	—	13	1	no	—
1454	C₂²⋊C₄	—	13	1	no	—
1455	C₂²⋊C₄	—	13	1	no	—
1456	C₂²⋊C₄	—	13	1	no	—
1457	C₂²⋊C₄	—	13	1	no	—
1458	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1463	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1464	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1465	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1468	C₄²	—	13	1	no	—
1469	C₄²	—	13	1	no	—
1470	C₄²	—	13	1	no	—
1471	C₄²	—	13	1	no	—
1472	C₄²	—	13	1	no	—
1473	C₄²	—	13	1	no	—
1474	C₄²	—	13	1	no	—
1475	C₄²	—	13	1	no	—
1476	C₄²	—	13	1	no	—
1477	C₄²	—	13	1	no	—
1478	C₄²	—	13	1	no	—
1479	C₄²	—	13	1	no	—
1480	C₄²	—	13	1	no	—
1481	C₄²	—	13	1	no	—
1482	C₄²	—	13	1	no	—
1483	C₄²	—	13	1	no	—
1484	C₄²	—	13	1	no	—
1485	C₄²	—	13	1	no	—
1486	C₄²	—	13	1	no	—
1487	C₄²	—	13	1	no	—
1488	C₄²	—	13	1	no	—
1489	C₄²	C₂²×#261	1	1	yes	characteristic
1490	C₄²	C₂²×#261	1	1	yes	characteristic
1491	C₄²	C₂²×#261	1	1	yes	characteristic
1492	C₄²	C₂²×#261	1	1	yes	characteristic
1493	C₄²	C₂²×#261	1	1	yes	characteristic
1494	C₄²	C₂²×#261	1	1	yes	characteristic
1495	C₄²	C₂²×#261	1	1	yes	characteristic
1496	C₁₃	#60342	1	1	yes	characteristic, complemented, Sylow
1497	C₂³	—	13	1	no	—
1498	C₂³	—	13	1	no	—
1499	C₂³	—	13	1	no	—
1500	C₂³	C₂³×#261	1	1	yes	characteristic
1501	C₂³	C₂³×#261	1	1	yes	characteristic
1502	Q₈	—	4	1	no	—
1503	Q₈	—	4	1	no	—
1504	Q₈	—	4	1	no	—
1505	Q₈	—	26	2	no	—
1506	Q₈	—	26	2	no	—
1507	Q₈	—	26	2	no	—
1508	Q₈	—	52	1	no	—
1509	Q₈	—	52	1	no	—
1510	Q₈	—	52	1	no	—
1511	Q₈	—	52	1	no	—
1512	D₄	—	4	1	no	—
1513	D₄	—	26	2	no	—
1514	D₄	—	26	2	no	—
1515	D₄	—	26	2	no	—
1516	D₄	—	26	2	no	—
1517	D₄	—	26	2	no	—
1518	D₄	—	52	1	no	—
1519	D₄	—	52	1	no	—
1520	D₄	—	52	1	no	—
1521	D₄	—	52	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	13	1	no	—
1525	C₂×C₄	—	13	1	no	—
1526	C₂×C₄	—	13	1	no	—
1527	C₂×C₄	—	13	1	no	—
1528	C₂×C₄	—	13	1	no	—
1529	C₂×C₄	—	13	1	no	—
1530	C₂×C₄	—	13	1	no	—
1531	C₂×C₄	—	13	1	no	—
1532	C₂×C₄	—	13	1	no	—
1533	C₂×C₄	—	13	1	no	—
1534	C₂×C₄	—	13	1	no	—
1535	C₂×C₄	—	13	1	no	—
1536	C₂×C₄	—	13	1	no	—
1537	C₂×C₄	—	26	1	no	—
1538	C₂×C₄	—	26	1	no	—
1539	C₂×C₄	—	26	1	no	—
1540	C₂×C₄	—	26	1	no	—
1541	C₂×C₄	—	26	1	no	—
1542	C₂×C₄	—	26	1	no	—
1543	C₂×C₄	—	26	2	no	—
1544	C₂×C₄	—	26	2	no	—
1545	C₂×C₄	—	26	2	no	—
1546	C₂×C₄	—	26	2	no	—
1547	C₂×C₄	—	26	2	no	—
1548	C₂×C₄	—	26	1	no	—
1549	C₂×C₄	—	26	1	no	—
1550	C₂×C₄	—	26	1	no	—
1551	C₂×C₄	—	26	1	no	—
1552	C₂×C₄	—	26	2	no	—
1553	C₂×C₄	—	52	1	no	—
1554	C₂×C₄	—	52	1	no	—
1555	C₂×C₄	—	52	1	no	—
1556	C₂×C₄	—	52	1	no	—
1557	C₂×C₄	—	52	1	no	—
1558	C₂×C₄	—	52	1	no	—
1559	C₂×C₄	—	52	1	no	—
1560	C₂×C₄	—	52	1	no	—
1561	C₂×C₄	—	52	1	no	—
1562	C₂×C₄	—	52	1	no	—
1563	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1564	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1565	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1566	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1567	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1568	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1569	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1570	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1571	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1572	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1573	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1574	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1575	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1576	C₈	—	13	2	no	—
1577	C₈	—	26	1	no	—
1578	C₈	—	26	1	no	—
1579	C₈	—	26	1	no	—
1580	C₈	—	26	1	no	—
1581	C₈	—	26	1	no	—
1582	C₈	—	26	1	no	—
1583	C₈	—	26	1	no	—
1584	C₈	—	26	1	no	—
1585	C₈	—	26	1	no	—
1586	C₈	—	26	1	no	—
1587	C₈	—	26	1	no	—
1588	C₈	—	26	1	no	—
1589	C₈	—	26	1	no	—
1590	C₈	—	26	1	no	—
1591	C₈	—	26	1	no	—
1592	C₂²	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	13	2	no	—
1599	C₂²	—	26	1	no	—
1600	C₂²	—	26	1	no	—
1601	C₂²	—	26	1	no	—
1602	C₂²	—	26	1	no	—
1603	C₂²	—	26	1	no	—
1604	C₂²	—	26	1	no	—
1605	C₂²	—	26	1	no	—
1606	C₂²	—	26	1	no	—
1607	C₂²	C₂⁴×#261	1	1	yes	characteristic
1608	C₄	—	2	1	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	13	1	no	—
1622	C₄	—	13	1	no	—
1623	C₄	—	13	2	no	—
1624	C₄	—	26	1	no	—
1625	C₄	—	26	1	no	—
1626	C₄	—	26	1	no	—
1627	C₄	—	26	1	no	—
1628	C₄	—	26	1	no	—
1629	C₄	—	26	1	no	—
1630	C₄	—	26	1	no	—
1631	C₄	—	26	1	no	—
1632	C₄	—	26	1	no	—
1633	C₄	—	26	1	no	—
1634	C₄	—	26	1	no	—
1635	C₂	—	4	1	no	—
1636	C₂	—	4	1	no	—
1637	C₂	—	26	2	no	—
1638	C₂	—	52	1	no	—
1639	C₂	—	52	1	no	—
1640	C₂	2₋¹⁺⁴×#261	1	1	yes	characteristic
1641	C₂	D₁₃⋊#568	1	1	yes	characteristic
1642	C₂	D₁₃⋊#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#556	C₄
prime radical	#13128455	C₂
cosocle	C₂×Dic₁₃	C₂⁵
hypercenter	#556	#261
hypocenter	C₁₃	#60342
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
1. #13131792	C₂	semidirect
2. #13131791	C₂	semidirect
3. #13131785	C₂	semidirect
4. #13131780	C₂	semidirect
5. #13131774	C₂	semidirect
6. #13131773	C₂	semidirect
7. #13131765	C₂	semidirect
8. #13131760	C₂	semidirect
9. #13131758	C₂	semidirect
10. #13131756	C₂	semidirect
11. #13131750	C₂	semidirect
12. #13131748	C₂	semidirect
13. #13131742	C₂	semidirect
14. #13131737	C₂	semidirect
15. #13131733	C₂	semidirect
16. #13131678	C₂	semidirect
17. #13131676	C₂	semidirect
18. #13131675	C₂	semidirect
19. #13131671	C₂	semidirect
20. #13131666	C₂	semidirect
21. #13131662	C₂	semidirect
22. #13131659	C₂	semidirect
23. #13131656	C₂	semidirect
24. #13131654	C₂	semidirect
25. #13131647	C₂	semidirect
26. #13131638	C₂	semidirect
27. #13131633	C₂	semidirect
28. #13131629	C₂	semidirect
29. #13131627	C₂	semidirect
30. D₁₃⋊#446	C₂	semidirect
1496. C₁₃	#60342	semidirect

Maximal subgroups

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

subgroup	index
#13131792	2
#13131791	2
#13131785	2
#13131780	2
#13131774	2
#13131773	2
#13131765	2
#13131760	2
#13131758	2
#13131756	2
#13131750	2
#13131748	2
#13131742	2
#13131737	2
#13131733	2
#13131678	2
#13131676	2
#13131675	2
#13131671	2
#13131666	2
#13131662	2
#13131659	2
#13131656	2
#13131654	2
#13131647	2
#13131638	2
#13131633	2
#13131629	2
#13131627	2
D₁₃⋊#446	2
#13128455	2
#60342	13