Subgroups — #16745672

Order 3328.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128780	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127920	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127790	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127496	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127492	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127436	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127276	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127270	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126686	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126680	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126671	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126665	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126649	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126643	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126443	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126317	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126312	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125521	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125513	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125400	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125098	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125092	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125079	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125074	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124974	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124970	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123812	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123668	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123664	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#6104	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3513	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#551	—	2	1	no	—
38	C₁₃×#551	—	2	1	no	—
39	C₁₃×#547	C₂²	1	1	yes	characteristic
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#539	—	2	1	no	—
47	C₁₃×#538	—	2	1	no	—
48	C₁₃×#529	C₂²	1	1	yes	characteristic
49	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#525	—	2	1	no	—
51	C₂×C₁₃×#123	—	2	1	no	—
52	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88203	C₂²	1	1	yes	characteristic
56	C₂×#88186	C₂²	1	1	yes	characteristic
57	C₂²×#6104	C₂²	1	1	yes	characteristic
58	#11719414	—	2	1	no	—
59	#11719410	—	2	1	no	—
60	#11719397	—	2	1	no	—
61	#11719383	—	2	1	no	—
62	#11719361	—	2	1	no	—
63	D₁₃×#123	—	2	1	no	—
64	#11719342	—	2	1	no	—
65	#11719315	—	2	1	no	—
66	#11719290	C₂²	1	1	yes	characteristic, complemented
67	#11719284	C₂²	1	1	yes	characteristic, complemented
68	#11719270	C₂²	1	1	yes	characteristic, complemented
69	#11719260	C₂²	1	1	yes	characteristic
70	#11719255	C₂²	1	1	yes	characteristic
71	#11719255	C₂²	1	1	yes	characteristic, complemented
72	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
73	#11719246	C₂²	1	1	yes	characteristic, complemented
74	#11719240	C₂²	1	1	yes	characteristic, complemented
75	#11719239	C₂²	1	1	yes	characteristic, complemented
76	#11719228	C₂²	1	1	yes	characteristic, complemented
77	#11719226	C₂²	1	1	yes	characteristic, complemented
78	#11719184	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
80	#11718900	C₂²	1	1	yes	characteristic, complemented
81	#11718899	C₂²	1	1	yes	characteristic
82	#11718894	C₂²	1	1	yes	characteristic, complemented
83	#11718879	C₂²	1	1	yes	characteristic, complemented
84	#11718878	C₂²	1	1	yes	characteristic
85	#11718878	C₂²	1	1	yes	characteristic, complemented
86	#11718878	C₂²	1	1	yes	characteristic, complemented
87	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
88	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
89	#11718752	C₂²	1	1	yes	characteristic, complemented
90	#11718749	C₂²	1	1	yes	characteristic, complemented
91	#11718748	C₂²	1	1	yes	characteristic, complemented
92	#11718741	C₂²	1	1	yes	characteristic, complemented
93	#11718735	C₂²	1	1	yes	characteristic, complemented
94	#11718733	C₂²	1	1	yes	characteristic
95	#11718733	C₂²	1	1	yes	characteristic, complemented
96	#11718731	C₂²	1	1	yes	characteristic, complemented
97	#11718729	C₂²	1	1	yes	characteristic, complemented
98	#11718729	C₂²	1	1	yes	characteristic, complemented
99	#11718727	C₂²	1	1	yes	characteristic, complemented
100	#11718727	C₂²	1	1	yes	characteristic, complemented
101	#11718727	C₂²	1	1	yes	characteristic, complemented
102	#11718727	C₂²	1	1	yes	characteristic, complemented
103	#11718726	C₂²	1	1	yes	characteristic, complemented
104	#11718725	C₂²	1	1	yes	characteristic, complemented
105	#11718720	C₂²	1	1	yes	characteristic, complemented
106	#11718719	C₂²	1	1	yes	characteristic, complemented
107	#11718718	C₂²	1	1	yes	characteristic, complemented
108	#11718718	C₂²	1	1	yes	characteristic, complemented
109	#11718718	C₂²	1	1	yes	characteristic, complemented
110	#11718717	C₂²	1	1	yes	characteristic, complemented
111	#11718717	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718712	C₂²	1	1	yes	characteristic, complemented
114	#11718710	C₂²	1	1	yes	characteristic, complemented
115	#11718709	C₂²	1	1	yes	characteristic, complemented
116	#11718709	C₂²	1	1	yes	characteristic, complemented
117	#11718708	C₂²	1	1	yes	characteristic, complemented
118	#11718707	C₂²	1	1	yes	characteristic, complemented
119	#11718705	C₂²	1	1	yes	characteristic, complemented
120	#11718704	C₂²	1	1	yes	characteristic, complemented
121	#11718703	C₂²	1	1	yes	characteristic, complemented
122	#11718702	C₂²	1	1	yes	characteristic, complemented
123	#11718702	C₂²	1	1	yes	characteristic, complemented
124	#11718700	C₂²	1	1	yes	characteristic, complemented
125	#11718700	C₂²	1	1	yes	characteristic, complemented
126	#11718699	C₂²	1	1	yes	characteristic
127	#11718699	C₂²	1	1	yes	characteristic, complemented
128	#11718699	C₂²	1	1	yes	characteristic, complemented
129	#11718698	C₂²	1	1	yes	characteristic
130	#11718697	C₂²	1	1	yes	characteristic
131	#11718697	C₂²	1	1	yes	characteristic, complemented
132	#11718697	C₂²	1	1	yes	characteristic, complemented
133	#11718696	C₂²	1	1	yes	characteristic, complemented
134	#11718696	C₂²	1	1	yes	characteristic, complemented
135	#11718694	C₂²	1	1	yes	characteristic, complemented
136	#11718694	C₂²	1	1	yes	characteristic, complemented
137	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
138	#11718689	C₂²	1	1	yes	characteristic, complemented
139	#11718687	C₂²	1	1	yes	characteristic, complemented
140	#11718687	C₂²	1	1	yes	characteristic, complemented
141	#11718687	C₂²	1	1	yes	characteristic, complemented
142	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
143	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
144	#11718685	C₂²	1	1	yes	characteristic, complemented
145	Q₈×#1055	C₂²	1	1	yes	characteristic, complemented
146	#11718682	C₂²	1	1	yes	characteristic, complemented
147	#11718679	C₂²	1	1	yes	characteristic, complemented
148	#11718679	C₂²	1	1	yes	characteristic, complemented
149	#11718679	C₂²	1	1	yes	characteristic, complemented
150	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
151	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
152	#11718677	C₂²	1	1	yes	characteristic, complemented
153	#11718677	C₂²	1	1	yes	characteristic, complemented
154	#11718677	C₂²	1	1	yes	characteristic, complemented
155	#11718676	C₂²	1	1	yes	characteristic
156	#11718676	C₂²	1	1	yes	characteristic, complemented
157	#11718675	C₂²	1	1	yes	characteristic
158	#11718675	C₂²	1	1	yes	characteristic
159	#11718675	C₂²	1	1	yes	characteristic, complemented
160	#11718675	C₂²	1	1	yes	characteristic, complemented
161	#11718675	C₂²	1	1	yes	characteristic, complemented
162	#11718675	C₂²	1	1	yes	characteristic, complemented
163	C₄×#6104	C₂²	1	1	yes	characteristic
164	C₄×#6104	C₂²	1	1	yes	characteristic
165	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
166	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
167	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
168	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
169	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
170	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
171	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
172	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
173	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
174	#11718673	C₂²	1	1	yes	characteristic, complemented
175	#11718672	C₂²	1	1	yes	characteristic, complemented
176	#11718672	C₂²	1	1	yes	characteristic, complemented
177	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
178	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
179	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
180	#11718670	C₂²	1	1	yes	characteristic, complemented
181	#11718670	C₂²	1	1	yes	characteristic, complemented
182	#11718670	C₂²	1	1	yes	characteristic, complemented
183	#11718670	C₂²	1	1	yes	characteristic, complemented
184	#11718668	C₂²	1	1	yes	characteristic, complemented
185	#11718664	C₂²	1	1	yes	characteristic, complemented
186	#11718664	C₂²	1	1	yes	characteristic, complemented
187	#11718663	C₂²	1	1	yes	characteristic, complemented
188	#11718661	C₂²	1	1	yes	characteristic, complemented
189	#11718661	C₂²	1	1	yes	characteristic, complemented
190	#11718658	C₂²	1	1	yes	characteristic, complemented
191	#11718658	C₂²	1	1	yes	characteristic, complemented
192	#11718656	C₂²	1	1	yes	characteristic, complemented
193	#11718632	C₂²	1	1	yes	characteristic, complemented
194	#11718631	C₂²	1	1	yes	characteristic, complemented
195	#11718628	C₂²	1	1	yes	characteristic, complemented
196	#11718628	C₂²	1	1	yes	characteristic, complemented
197	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
198	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
199	#11718625	C₂²	1	1	yes	characteristic, complemented
200	C₂×#88047	C₂²	1	1	yes	characteristic, complemented
201	#11718587	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	—	2	1	no	—
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₃	—	2	1	no	—
209	C₂×#6129	—	2	1	no	—
210	C₂×D₄×D₁₃	—	2	1	no	—
211	C₂×#6127	C₂³	1	1	yes	characteristic
212	C₂²×D₅₂	C₂³	1	1	yes	characteristic
213	C₂²×D₅₂	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	—	2	1	no	—
215	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×#127	C₂³	1	1	yes	characteristic
217	C₁₃×#126	—	2	1	no	—
218	C₁₃×#126	—	2	1	no	—
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#126	—	2	1	no	—
221	C₁₃×#126	D₄	1	1	yes	characteristic
222	C₁₃×#126	D₄	1	1	yes	characteristic
223	C₁₃×#125	—	2	1	no	—
224	C₁₃×#125	D₄	1	1	yes	characteristic
225	C₁₃×#125	C₂³	1	1	yes	characteristic
226	C₁₃×#125	C₂³	1	1	yes	characteristic
227	C₁₃×#124	—	2	1	no	—
228	C₁₃×#124	—	2	1	no	—
229	C₁₃×#124	D₄	1	1	yes	characteristic
230	C₁₃×#124	C₂³	1	1	yes	characteristic
231	C₁₃×#124	C₂³	1	1	yes	characteristic
232	C₁₃×#123	—	2	1	no	—
233	C₁₃×#123	—	2	1	no	—
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×#123	—	2	1	no	—
236	C₁₃×#123	—	2	1	no	—
237	C₁₃×#123	—	2	1	no	—
238	C₁₃×#123	—	2	1	no	—
239	C₁₃×#123	—	2	1	no	—
240	C₁₃×#123	—	2	1	no	—
241	C₁₃×#123	—	2	1	no	—
242	C₁₃×#123	—	2	1	no	—
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×#123	D₄	1	1	yes	characteristic
245	C₁₃×#123	D₄	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	—	2	1	no	—
247	C₁₃×C₂²⋊Q₈	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	—	2	1	no	—
251	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
252	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₃×#121	—	2	1	no	—
255	C₁₃×#121	—	2	1	no	—
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	—	2	1	no	—
258	C₁₃×#121	—	2	1	no	—
259	C₁₃×#121	—	2	1	no	—
260	C₁₃×#121	D₄	1	1	yes	characteristic
261	C₁₃×#121	C₂³	1	1	yes	characteristic
262	C₁₃×#121	C₂³	1	1	yes	characteristic
263	C₁₃×#121	C₂³	1	1	yes	characteristic
264	C₁₃×#121	C₂³	1	1	yes	characteristic
265	C₁₃×#120	—	2	1	no	—
266	C₁₃×#120	—	2	1	no	—
267	C₁₃×#120	—	2	1	no	—
268	C₁₃×#120	—	2	1	no	—
269	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	—	2	1	no	—
277	C₄×D₄×C₁₃	—	2	1	no	—
278	C₄×D₄×C₁₃	—	2	1	no	—
279	C₄×D₄×C₁₃	—	2	1	no	—
280	C₄×D₄×C₁₃	—	2	1	no	—
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	—	2	1	no	—
294	C₁₃×#117	—	2	1	no	—
295	C₁₃×#117	C₂³	1	1	yes	characteristic
296	C₁₃×#117	C₂³	1	1	yes	characteristic
297	C₁₃×#117	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
303	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
308	#88203	—	2	4	no	—
309	#88201	—	2	1	no	—
310	#88200	—	2	1	no	—
311	C₂×#6107	C₂³	1	1	yes	characteristic
312	C₂×#6106	C₂³	1	1	yes	characteristic
313	C₂×#6106	C₂³	1	1	yes	characteristic
314	C₂×#6106	C₂³	1	1	yes	characteristic
315	#88193	—	2	1	no	—
316	#88191	—	2	1	no	—
317	#88191	—	2	1	no	—
318	#88189	—	2	1	no	—
319	C₂×#6105	C₂³	1	1	yes	characteristic
320	C₂×#6105	C₂³	1	1	yes	characteristic
321	C₂×#6105	C₂³	1	1	yes	characteristic
322	#88186	—	2	4	no	—
323	C₂×#6104	—	2	4	no	—
324	C₂×#6104	C₂³	1	1	yes	characteristic
325	C₂×#6104	C₂³	1	1	yes	characteristic
326	C₂×#6104	C₂³	1	1	yes	characteristic
327	C₂×#6104	C₂³	1	1	yes	characteristic
328	C₂×#6104	C₂³	1	1	yes	characteristic
329	C₂×#6104	C₂³	1	1	yes	characteristic
330	C₂×#6104	C₂³	1	1	yes	characteristic
331	C₂×#6104	C₂³	1	1	yes	characteristic
332	C₂×#6104	C₂³	1	1	yes	characteristic
333	#88184	C₂³	1	1	yes	characteristic
334	#88184	C₂³	1	1	yes	characteristic
335	#88184	C₂³	1	1	yes	characteristic
336	#88184	C₂³	1	1	yes	characteristic
337	#88183	—	2	1	no	—
338	C₄×C₂²⋊D₁₃	—	2	1	no	—
339	C₂×#6103	—	2	1	no	—
340	#88180	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
343	#88178	C₂³	1	1	yes	characteristic
344	#88178	C₂³	1	1	yes	characteristic
345	C₂×#6099	C₂³	1	1	yes	characteristic
346	C₂×#6099	C₂³	1	1	yes	characteristic
347	C₂²×#1055	C₂³	1	1	yes	characteristic
348	C₂²×#1055	C₂³	1	1	yes	characteristic
349	C₂²×#1055	C₂³	1	1	yes	characteristic
350	C₂²×#1055	C₂³	1	1	yes	characteristic
351	#88152	—	2	1	no	—
352	#88152	—	2	1	no	—
353	#88151	—	2	1	no	—
354	#88150	—	2	1	no	—
355	#88150	—	2	1	no	—
356	#88150	—	2	1	no	—
357	#88149	—	2	1	no	—
358	#88148	—	2	1	no	—
359	#88148	—	2	1	no	—
360	#88148	—	2	1	no	—
361	#88148	—	2	1	no	—
362	#88148	—	2	1	no	—
363	#88148	—	2	1	no	—
364	#88147	—	2	1	no	—
365	#88147	—	2	1	no	—
366	#88147	—	2	1	no	—
367	#88146	—	2	1	no	—
368	C₄⋊C₄×D₁₃	—	2	1	no	—
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	#88143	—	2	1	no	—
371	#88140	—	2	1	no	—
372	#88140	—	2	1	no	—
373	#88139	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88136	—	2	1	no	—
381	#88136	—	2	1	no	—
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	2	1	no	—
385	C₂²⋊C₄×D₁₃	—	2	1	no	—
386	C₂²⋊C₄×D₁₃	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	#88133	—	2	1	no	—
390	#88131	—	2	1	no	—
391	#88130	—	2	1	no	—
392	#88129	C₂³	1	1	yes	characteristic
393	#88129	C₂³	1	1	yes	characteristic
394	#88128	C₂³	1	1	yes	characteristic
395	C₄×D₅₂	—	2	1	no	—
396	C₄×D₅₂	—	2	1	no	—
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	C₄×D₅₂	C₂³	1	1	yes	characteristic
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	C₂³	1	1	yes	characteristic
401	C₄×D₅₂	C₂³	1	1	yes	characteristic
402	C₄×D₅₂	C₂³	1	1	yes	characteristic
403	C₄×D₅₂	C₂³	1	1	yes	characteristic
404	C₄×D₅₂	C₂³	1	1	yes	characteristic
405	#88126	—	2	1	no	—
406	#88124	C₂³	1	1	yes	characteristic
407	#88124	C₂³	1	1	yes	characteristic
408	#88123	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	#88075	C₂³	1	1	yes	characteristic
412	#88075	C₂³	1	1	yes	characteristic
413	#88075	C₂³	1	1	yes	characteristic
414	#88075	C₂³	1	1	yes	characteristic
415	#88072	C₂³	1	1	yes	characteristic
416	#88072	C₂³	1	1	yes	characteristic
417	#88072	C₂³	1	1	yes	characteristic
418	#88072	C₂³	1	1	yes	characteristic
419	#88072	C₂³	1	1	yes	characteristic
420	#88072	C₂³	1	1	yes	characteristic
421	#88072	C₂³	1	1	yes	characteristic
422	#88072	C₂³	1	1	yes	characteristic
423	#88072	C₂³	1	1	yes	characteristic
424	#88072	C₂³	1	1	yes	characteristic
425	#88072	C₂³	1	1	yes	characteristic
426	#88072	C₂³	1	1	yes	characteristic
427	C₂²⋊#1055	C₂³	1	1	yes	characteristic
428	C₂²⋊#1055	C₂³	1	1	yes	characteristic
429	C₂²⋊#1055	C₂³	1	1	yes	characteristic
430	C₂²⋊#1055	C₂³	1	1	yes	characteristic
431	C₂²⋊#1055	C₂³	1	1	yes	characteristic
432	C₂²⋊#1055	C₂³	1	1	yes	characteristic
433	#88050	C₂³	1	1	yes	characteristic
434	#88050	C₂³	1	1	yes	characteristic
435	#88050	C₂³	1	1	yes	characteristic
436	#88050	C₂³	1	1	yes	characteristic
437	#88049	C₂³	1	1	yes	characteristic
438	#88049	C₂³	1	1	yes	characteristic
439	#88049	C₂³	1	1	yes	characteristic
440	#88049	C₂³	1	1	yes	characteristic
441	#88049	C₂³	1	1	yes	characteristic
442	#88049	C₂³	1	1	yes	characteristic
443	#88049	C₂³	1	1	yes	characteristic
444	#88049	C₂³	1	1	yes	characteristic
445	#88049	C₂³	1	1	yes	characteristic
446	#88049	C₂³	1	1	yes	characteristic
447	#88049	C₂³	1	1	yes	characteristic
448	#88049	C₂³	1	1	yes	characteristic
449	#88048	C₂³	1	1	yes	characteristic
450	#88048	C₂³	1	1	yes	characteristic
451	#88048	C₂³	1	1	yes	characteristic
452	#88048	C₂³	1	1	yes	characteristic
453	#88048	C₂³	1	1	yes	characteristic
454	#88048	C₂³	1	1	yes	characteristic
455	#88047	C₂³	1	1	yes	characteristic
456	#88047	C₂³	1	1	yes	characteristic
457	#88047	C₂³	1	1	yes	characteristic
458	#88047	C₂³	1	1	yes	characteristic
459	#88047	C₂³	1	1	yes	characteristic
460	#88047	C₂³	1	1	yes	characteristic
461	#88047	C₂³	1	1	yes	characteristic
462	#88047	C₂³	1	1	yes	characteristic
463	#88047	C₂³	1	1	yes	characteristic
464	#88047	C₂³	1	1	yes	characteristic
465	C₄⋊#1055	C₂³	1	1	yes	characteristic
466	C₄⋊#1055	C₂³	1	1	yes	characteristic
467	C₄⋊#1055	C₂³	1	1	yes	characteristic
468	C₄⋊#1055	C₂³	1	1	yes	characteristic
469	C₄⋊#1055	C₂³	1	1	yes	characteristic
470	C₄⋊#1055	C₂³	1	1	yes	characteristic
471	#88043	C₂³	1	1	yes	characteristic
472	#88043	C₂³	1	1	yes	characteristic
473	#88043	C₂³	1	1	yes	characteristic
474	#88043	C₂³	1	1	yes	characteristic
475	C₄×#1055	C₂³	1	1	yes	characteristic
476	C₄×#1055	C₂³	1	1	yes	characteristic
477	C₄×#1055	C₂³	1	1	yes	characteristic
478	C₄×#1055	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61489	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₂³×D₁₃	—	2	1	no	—
486	C₁₃×#41	—	2	2	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	8	2	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₁₃	—	2	2	no	—
493	C₂×D₄×C₁₃	—	2	2	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	—	4	1	no	—
505	C₂×D₄×C₁₃	—	8	2	no	—
506	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	8	2	no	—
524	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	#6129	—	8	2	no	—
537	D₄×D₁₃	—	8	2	no	—
538	#6127	—	2	2	no	—
539	#6127	—	4	1	no	—
540	C₂×D₅₂	—	2	2	no	—
541	C₂×D₅₂	—	2	2	no	—
542	C₂×D₅₂	—	2	1	no	—
543	C₂×D₅₂	—	2	1	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	4	1	no	—
547	C₂×D₅₂	—	4	1	no	—
548	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
549	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
550	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	8	2	no	—
561	C₂×Dic₂₆	—	2	1	no	—
562	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
575	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
578	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₁₃	—	2	1	no	—
618	C₄²×C₁₃	—	2	1	no	—
619	C₄²×C₁₃	—	2	1	no	—
620	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
622	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
623	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
624	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	#6107	—	4	1	no	—
630	#6106	—	2	2	no	—
631	#6106	—	2	2	no	—
632	#6106	—	4	1	no	—
633	#6105	—	2	2	no	—
634	#6105	—	2	2	no	—
635	#6105	—	4	1	no	—
636	#6104	—	2	2	no	—
637	#6104	—	2	2	no	—
638	#6104	—	2	2	no	—
639	#6104	—	2	2	no	—
640	#6104	—	2	2	no	—
641	#6104	—	4	1	no	—
642	#6104	—	4	1	no	—
643	#6104	—	4	1	no	—
644	#6104	#41	1	4	yes	complemented
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	#6099	—	2	2	no	—
680	#6099	—	2	2	no	—
681	C₂×#1055	—	2	2	no	—
682	C₂×#1055	—	4	1	no	—
683	C₂×#1055	—	4	1	no	—
684	C₂×#1055	—	4	1	no	—
685	C₂×#1055	C₂⁴	1	1	yes	characteristic
686	C₂×#1055	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	C₂×#1055	C₂⁴	1	1	yes	characteristic
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	#3513	—	13	1	no	—
694	#3513	D₁₃	1	1	yes	characteristic, complemented
695	#3403	—	13	1	no	—
696	#3389	—	13	1	no	—
697	#3361	—	13	1	no	—
698	#3361	—	13	1	no	—
699	#3355	—	13	1	no	—
700	#3343	—	13	1	no	—
701	#3343	—	13	1	no	—
702	#3297	—	13	1	no	—
703	#3297	—	13	1	no	—
704	#3296	—	13	1	no	—
705	#3296	—	13	1	no	—
706	#3294	—	13	1	no	—
707	#3294	—	13	1	no	—
708	#3273	—	13	1	no	—
709	#3264	—	13	1	no	—
710	#3264	—	13	1	no	—
711	#3179	—	13	1	no	—
712	#3179	—	13	1	no	—
713	#3168	—	13	1	no	—
714	#3124	—	13	1	no	—
715	#3124	—	13	1	no	—
716	#3122	—	13	1	no	—
717	#3122	—	13	1	no	—
718	#3114	—	13	1	no	—
719	#3114	—	13	1	no	—
720	#2966	—	13	1	no	—
721	#2946	—	13	1	no	—
722	#2946	—	13	1	no	—
723	C₂×C₄×D₈	—	13	1	no	—
724	C₂³×C₁₃	—	2	1	no	—
725	C₂³×C₁₃	—	2	1	no	—
726	C₂³×C₁₃	—	2	1	no	—
727	C₂³×C₁₃	—	4	2	no	—
728	C₂³×C₁₃	—	4	2	no	—
729	C₂³×C₁₃	—	4	2	no	—
730	C₂³×C₁₃	—	8	1	no	—
731	C₂³×C₁₃	—	8	1	no	—
732	C₂³×C₁₃	—	8	1	no	—
733	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
734	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
736	C₂²×D₁₃	—	2	1	no	—
737	C₂²×D₁₃	—	2	1	no	—
738	C₂²×D₁₃	—	2	1	no	—
739	C₂²×D₁₃	—	4	2	no	—
740	C₂²×D₁₃	—	4	2	no	—
741	C₂²×D₁₃	—	4	2	no	—
742	C₂²×D₁₃	—	8	1	no	—
743	C₂²×D₁₃	—	8	1	no	—
744	C₂²×D₁₃	—	8	1	no	—
745	Q₈×C₁₃	—	2	1	no	—
746	Q₈×C₁₃	—	2	1	no	—
747	Q₈×C₁₃	—	4	1	no	—
748	Q₈×C₁₃	—	8	1	no	—
749	D₄×C₁₃	—	2	2	no	—
750	D₄×C₁₃	—	2	2	no	—
751	D₄×C₁₃	—	2	1	no	—
752	D₄×C₁₃	—	2	1	no	—
753	D₄×C₁₃	—	2	1	no	—
754	D₄×C₁₃	—	2	1	no	—
755	D₄×C₁₃	—	2	1	no	—
756	D₄×C₁₃	—	4	1	no	—
757	D₄×C₁₃	—	4	2	no	—
758	D₄×C₁₃	—	4	2	no	—
759	D₄×C₁₃	—	4	2	no	—
760	D₄×C₁₃	—	4	2	no	—
761	D₄×C₁₃	—	8	1	no	—
762	D₄×C₁₃	—	8	1	no	—
763	D₄×C₁₃	—	8	1	no	—
764	D₄×C₁₃	—	8	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	C₂×#41	1	2	yes	—
767	C₂×C₄×C₁₃	—	2	2	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	4	1	no	—
780	C₂×C₄×C₁₃	—	4	2	no	—
781	C₂×C₄×C₁₃	—	4	2	no	—
782	C₂×C₄×C₁₃	—	8	1	no	—
783	C₂×C₄×C₁₃	—	8	1	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	—	8	1	no	—
789	C₂×C₄×C₁₃	—	8	1	no	—
790	C₂×C₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
803	C₂²⋊D₁₃	—	4	2	no	—
804	C₂²⋊D₁₃	—	4	2	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂²⋊D₁₃	—	8	1	no	—
807	C₂²⋊D₁₃	—	8	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	2	1	no	—
810	C₂×Dic₁₃	—	2	1	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	2	1	no	—
813	C₂×Dic₁₃	—	4	2	no	—
814	C₂×Dic₁₃	—	8	1	no	—
815	D₅₂	—	2	1	no	—
816	D₅₂	—	2	1	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	2	1	no	—
820	D₅₂	—	4	2	no	—
821	D₅₂	—	4	2	no	—
822	D₅₂	—	8	1	no	—
823	D₅₂	—	8	1	no	—
824	D₅₂	C₂×#41	1	2	yes	—
825	C₄×D₁₃	—	4	2	no	—
826	C₄×D₁₃	—	8	1	no	—
827	C₄×D₁₃	—	8	1	no	—
828	C₄×D₁₃	—	8	1	no	—
829	C₄×D₁₃	—	8	1	no	—
830	C₄×D₁₃	—	8	1	no	—
831	C₄×D₁₃	—	8	1	no	—
832	C₄×D₁₃	—	8	1	no	—
833	C₄×D₁₃	—	8	1	no	—
834	Dic₂₆	—	2	1	no	—
835	Dic₂₆	—	2	1	no	—
836	Dic₂₆	—	8	1	no	—
837	#1055	—	2	1	no	—
838	#1055	—	2	1	no	—
839	#1055	—	2	1	no	—
840	#1055	—	2	1	no	—
841	#1055	—	2	1	no	—
842	#1055	—	2	1	no	—
843	#1055	—	2	1	no	—
844	#1055	C₂×#41	1	2	yes	—
845	C₂×AGL(1,ℤ/8)	—	13	1	no	—
846	C₂×AGL(1,ℤ/8)	—	13	1	no	—
847	C₂²×D₈	—	13	1	no	—
848	#559	—	13	1	no	—
849	#559	C₂×D₁₃	1	1	yes	characteristic, complemented
850	#554	—	13	1	no	—
851	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
852	#553	—	2	1	no	—
853	#553	—	13	1	no	—
854	#553	—	26	1	no	—
855	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
856	#552	—	13	1	no	—
857	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
858	#551	—	2	1	no	—
859	#551	—	2	1	no	—
860	#551	—	26	1	no	—
861	#551	—	26	1	no	—
862	#547	—	13	1	no	—
863	#547	C₂×D₁₃	1	1	yes	characteristic
864	#546	—	2	1	no	—
865	#546	—	13	1	no	—
866	#546	—	13	1	no	—
867	#546	—	26	1	no	—
868	#546	C₂×D₁₃	1	1	yes	characteristic
869	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
870	D₄²	—	13	1	no	—
871	D₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
872	#542	—	13	1	no	—
873	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
874	#540	—	13	1	no	—
875	#540	C₂×D₁₃	1	1	yes	characteristic, complemented
876	#539	—	2	1	no	—
877	#539	—	26	1	no	—
878	#538	—	2	1	no	—
879	#538	—	26	1	no	—
880	#529	—	13	1	no	—
881	#529	C₂×D₁₃	1	1	yes	characteristic
882	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
883	#525	—	2	1	no	—
884	#525	—	26	1	no	—
885	C₂×#123	—	2	1	no	—
886	C₂×#123	—	26	1	no	—
887	#520	—	13	1	no	—
888	#520	C₂×D₁₃	1	1	yes	characteristic, complemented
889	#518	—	13	1	no	—
890	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
891	C₂×C₄×D₄	—	13	1	no	—
892	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
893	#501	—	13	1	no	—
894	#501	—	13	1	no	—
895	#499	—	13	1	no	—
896	#496	—	13	1	no	—
897	#496	—	13	1	no	—
898	#495	—	13	1	no	—
899	#488	—	13	1	no	—
900	#488	—	13	1	no	—
901	#488	—	13	1	no	—
902	#488	—	13	1	no	—
903	#486	—	13	1	no	—
904	#486	—	13	1	no	—
905	#484	—	13	1	no	—
906	#484	—	13	1	no	—
907	#483	—	13	1	no	—
908	#483	—	13	1	no	—
909	#482	—	13	1	no	—
910	#482	—	13	1	no	—
911	#482	—	13	1	no	—
912	#482	—	13	1	no	—
913	#480	—	13	1	no	—
914	#480	—	13	1	no	—
915	#480	—	13	1	no	—
916	#480	—	13	1	no	—
917	#478	—	13	1	no	—
918	#478	—	13	1	no	—
919	#478	—	13	1	no	—
920	#478	—	13	1	no	—
921	#478	—	13	1	no	—
922	#478	—	13	1	no	—
923	#478	—	13	1	no	—
924	#478	—	13	1	no	—
925	#477	—	13	1	no	—
926	#477	—	13	1	no	—
927	#474	—	13	1	no	—
928	#474	—	13	1	no	—
929	#469	—	13	1	no	—
930	#469	—	13	1	no	—
931	#468	—	13	1	no	—
932	#468	—	13	1	no	—
933	#467	—	13	1	no	—
934	#466	—	13	1	no	—
935	#466	—	13	1	no	—
936	#466	—	13	1	no	—
937	#465	—	13	1	no	—
938	#465	—	13	1	no	—
939	#465	—	13	1	no	—
940	#465	—	13	1	no	—
941	#464	—	13	1	no	—
942	#464	—	13	1	no	—
943	#463	—	13	1	no	—
944	#463	—	13	1	no	—
945	#463	—	13	1	no	—
946	#463	—	13	1	no	—
947	#463	—	13	1	no	—
948	#463	—	13	1	no	—
949	#459	—	13	1	no	—
950	#459	—	13	1	no	—
951	#459	—	13	1	no	—
952	#459	—	13	1	no	—
953	#452	—	13	1	no	—
954	#452	—	13	1	no	—
955	#450	—	13	1	no	—
956	#450	—	13	1	no	—
957	#449	—	13	1	no	—
958	#449	—	13	1	no	—
959	#447	—	13	1	no	—
960	#447	—	13	1	no	—
961	#447	—	13	1	no	—
962	#447	—	13	1	no	—
963	#447	—	13	1	no	—
964	#447	—	13	1	no	—
965	#446	—	13	1	no	—
966	C₈×Q₈	—	13	1	no	—
967	#442	—	13	1	no	—
968	#442	—	13	1	no	—
969	#442	—	13	1	no	—
970	#442	—	13	1	no	—
971	#442	—	13	1	no	—
972	#442	—	13	1	no	—
973	#440	—	13	1	no	—
974	#440	—	13	1	no	—
975	#440	—	13	1	no	—
976	#440	—	13	1	no	—
977	#440	—	13	1	no	—
978	#440	—	13	1	no	—
979	C₄×Q₁₆	—	13	1	no	—
980	C₄×SD₁₆	—	13	1	no	—
981	C₄×SD₁₆	—	13	1	no	—
982	C₄×SD₁₆	—	13	1	no	—
983	C₄×SD₁₆	—	13	1	no	—
984	C₄×D₈	—	13	1	no	—
985	C₄×D₈	—	13	1	no	—
986	C₄×D₈	—	13	1	no	—
987	C₄×D₈	—	13	1	no	—
988	C₄×D₈	—	13	1	no	—
989	C₄×D₈	—	13	1	no	—
990	C₄×D₈	—	13	1	no	—
991	C₄×D₈	—	13	1	no	—
992	C₄×D₈	—	13	1	no	—
993	C₄×D₈	—	13	1	no	—
994	C₄×D₈	—	13	1	no	—
995	#436	—	13	1	no	—
996	#435	—	13	1	no	—
997	#435	—	13	1	no	—
998	C₈×D₄	—	13	1	no	—
999	C₈×D₄	—	13	1	no	—
1000	C₈×D₄	—	13	1	no	—
1001	#433	—	13	1	no	—
1002	#433	—	13	1	no	—
1003	#432	—	13	1	no	—
1004	#428	—	13	1	no	—
1005	#428	—	13	1	no	—
1006	C₂×#107	—	13	1	no	—
1007	#416	—	13	1	no	—
1008	#416	—	13	1	no	—
1009	C₂×#102	—	13	1	no	—
1010	C₂×#102	—	13	1	no	—
1011	C₂×#102	—	13	1	no	—
1012	C₂×#102	—	13	1	no	—
1013	#405	—	13	1	no	—
1014	#405	—	13	1	no	—
1015	C₂×C₄×C₈	—	13	1	no	—
1016	C₂²×C₁₃	—	2	1	no	—
1017	C₂²×C₁₃	—	2	1	no	—
1018	C₂²×C₁₃	—	2	1	no	—
1019	C₂²×C₁₃	—	2	1	no	—
1020	C₂²×C₁₃	—	2	1	no	—
1021	C₂²×C₁₃	—	2	1	no	—
1022	C₂²×C₁₃	—	2	2	no	—
1023	C₂²×C₁₃	—	2	1	no	—
1024	C₂²×C₁₃	—	2	1	no	—
1025	C₂²×C₁₃	—	4	1	no	—
1026	C₂²×C₁₃	—	4	1	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	no	—
1033	C₂²×C₁₃	—	8	4	no	—
1034	C₂²×C₁₃	—	16	2	no	—
1035	C₂²×C₁₃	#576	1	2	yes	—
1036	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1037	C₂×D₁₃	—	2	2	no	—
1038	C₂×D₁₃	—	4	1	no	—
1039	C₂×D₁₃	—	4	1	no	—
1040	C₂×D₁₃	—	4	1	no	—
1041	C₂×D₁₃	—	4	1	no	—
1042	C₂×D₁₃	—	4	1	no	—
1043	C₂×D₁₃	—	4	1	no	—
1044	C₂×D₁₃	—	4	1	no	—
1045	C₂×D₁₃	—	4	1	no	—
1046	C₂×D₁₃	—	8	4	no	—
1047	C₂×D₁₃	—	16	2	no	—
1048	C₄×C₁₃	—	2	1	no	—
1049	C₄×C₁₃	—	2	1	no	—
1050	C₄×C₁₃	—	2	1	no	—
1051	C₄×C₁₃	—	2	1	no	—
1052	C₄×C₁₃	—	2	1	no	—
1053	C₄×C₁₃	—	2	1	no	—
1054	C₄×C₁₃	—	2	1	no	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	2	1	no	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	4	1	no	—
1060	C₄×C₁₃	—	4	1	no	—
1061	C₄×C₁₃	—	4	1	no	—
1062	C₄×C₁₃	—	4	1	no	—
1063	C₄×C₁₃	—	4	1	no	—
1064	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1065	C₄×C₁₃	#585	1	1	yes	characteristic
1066	Dic₁₃	—	4	1	no	—
1067	Dic₁₃	—	4	1	no	—
1068	Dic₁₃	—	4	1	no	—
1069	Dic₁₃	—	4	1	no	—
1070	Dic₁₃	—	4	1	no	—
1071	C₂×#41	—	2	1	no	—
1072	C₂×#41	—	13	1	no	—
1073	C₂×#41	—	26	1	no	—
1074	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1075	C₂²×D₄	—	2	1	no	—
1076	C₂²×D₄	—	13	1	no	—
1077	C₂²×D₄	—	13	1	no	—
1078	C₂²×D₄	—	26	1	no	—
1079	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1080	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1081	C₂³×C₄	—	2	1	no	—
1082	C₂³×C₄	—	26	1	no	—
1083	AGL(1,ℤ/8)	—	26	4	no	—
1084	AGL(1,ℤ/8)	—	26	4	no	—
1085	C₂×Q₁₆	—	13	1	no	—
1086	C₂×SD₁₆	—	13	1	no	—
1087	C₂×SD₁₆	—	13	1	no	—
1088	C₂×SD₁₆	—	13	1	no	—
1089	C₂×SD₁₆	—	13	1	no	—
1090	C₂×SD₁₆	—	13	1	no	—
1091	C₂×SD₁₆	—	13	1	no	—
1092	C₂×D₈	—	13	1	no	—
1093	C₂×D₈	—	13	1	no	—
1094	C₂×D₈	—	13	1	no	—
1095	C₂×D₈	—	13	1	no	—
1096	C₂×D₈	—	13	1	no	—
1097	C₂×D₈	—	13	1	no	—
1098	C₂×D₈	—	13	1	no	—
1099	C₂×D₈	—	13	1	no	—
1100	C₂×D₈	—	13	1	no	—
1101	C₂×D₈	—	26	4	no	—
1102	C₂×M₁₆	—	13	1	no	—
1103	C₂×M₁₆	—	13	1	no	—
1104	C₂²×C₈	—	13	1	no	—
1105	C₂²×C₈	—	13	1	no	—
1106	C₂²×C₈	—	13	1	no	—
1107	C₂²×C₈	—	13	1	no	—
1108	C₄⋊Q₈	—	13	1	no	—
1109	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1110	#127	—	13	1	no	—
1111	#127	C₂²×D₁₃	1	1	yes	characteristic
1112	#126	—	2	1	no	—
1113	#126	—	2	1	no	—
1114	#126	—	2	1	no	—
1115	#126	—	2	1	no	—
1116	#126	—	26	1	no	—
1117	#126	—	26	1	no	—
1118	#126	—	26	1	no	—
1119	#126	—	26	1	no	—
1120	#126	C₂²⋊D₁₃	1	1	yes	characteristic
1121	#126	C₂²⋊D₁₃	1	1	yes	characteristic
1122	#125	—	2	1	no	—
1123	#125	—	13	1	no	—
1124	#125	—	13	1	no	—
1125	#125	—	26	1	no	—
1126	#125	C₂²⋊D₁₃	1	1	yes	characteristic
1127	#125	C₂²×D₁₃	1	1	yes	characteristic
1128	#125	C₂²×D₁₃	1	1	yes	characteristic
1129	#124	—	2	1	no	—
1130	#124	—	2	1	no	—
1131	#124	—	13	1	no	—
1132	#124	—	13	1	no	—
1133	#124	—	26	1	no	—
1134	#124	—	26	1	no	—
1135	#124	C₂²⋊D₁₃	1	1	yes	characteristic
1136	#124	C₂²×D₁₃	1	1	yes	characteristic
1137	#124	C₂²×D₁₃	1	1	yes	characteristic
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	26	1	no	—
1151	#123	—	26	1	no	—
1152	#123	—	26	1	no	—
1153	#123	—	26	1	no	—
1154	#123	—	26	1	no	—
1155	#123	—	26	1	no	—
1156	#123	—	26	1	no	—
1157	#123	—	26	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	#123	—	26	1	no	—
1161	#123	—	26	1	no	—
1162	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1163	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	—	2	1	no	—
1169	C₂²⋊Q₈	—	13	1	no	—
1170	C₂²⋊Q₈	—	13	1	no	—
1171	C₂²⋊Q₈	—	26	1	no	—
1172	C₂²⋊Q₈	—	26	1	no	—
1173	C₂²⋊Q₈	—	26	1	no	—
1174	C₂²⋊Q₈	—	26	1	no	—
1175	C₂²⋊Q₈	—	26	1	no	—
1176	C₂²⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1177	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	13	1	no	—
1186	#121	—	13	1	no	—
1187	#121	—	13	1	no	—
1188	#121	—	13	1	no	—
1189	#121	—	26	1	no	—
1190	#121	—	26	1	no	—
1191	#121	—	26	1	no	—
1192	#121	—	26	1	no	—
1193	#121	—	26	1	no	—
1194	#121	—	26	1	no	—
1195	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1196	#121	C₂²×D₁₃	1	1	yes	characteristic
1197	#121	C₂²×D₁₃	1	1	yes	characteristic
1198	#121	C₂²×D₁₃	1	1	yes	characteristic
1199	#121	C₂²×D₁₃	1	1	yes	characteristic
1200	#120	—	2	1	no	—
1201	#120	—	2	1	no	—
1202	#120	—	2	1	no	—
1203	#120	—	2	1	no	—
1204	#120	—	26	1	no	—
1205	#120	—	26	1	no	—
1206	#120	—	26	1	no	—
1207	#120	—	26	1	no	—
1208	C₄×Q₈	—	13	1	no	—
1209	C₄×Q₈	—	13	1	no	—
1210	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1211	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1212	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	13	1	no	—
1223	C₄×D₄	—	13	1	no	—
1224	C₄×D₄	—	13	1	no	—
1225	C₄×D₄	—	13	1	no	—
1226	C₄×D₄	—	13	1	no	—
1227	C₄×D₄	—	13	1	no	—
1228	C₄×D₄	—	13	1	no	—
1229	C₄×D₄	—	13	1	no	—
1230	C₄×D₄	—	26	1	no	—
1231	C₄×D₄	—	26	1	no	—
1232	C₄×D₄	—	26	1	no	—
1233	C₄×D₄	—	26	1	no	—
1234	C₄×D₄	—	26	1	no	—
1235	C₄×D₄	—	26	1	no	—
1236	C₄×D₄	—	26	1	no	—
1237	C₄×D₄	—	26	1	no	—
1238	C₄×D₄	—	26	1	no	—
1239	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1240	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1241	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1242	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1243	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1244	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1245	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1246	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1247	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1248	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1249	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1250	#117	—	2	1	no	—
1251	#117	—	2	1	no	—
1252	#117	—	2	1	no	—
1253	#117	—	13	1	no	—
1254	#117	—	26	1	no	—
1255	#117	—	26	1	no	—
1256	#117	—	26	1	no	—
1257	#117	C₂²×D₁₃	1	1	yes	characteristic
1258	#117	C₂²×D₁₃	1	1	yes	characteristic
1259	#117	C₂²×D₁₃	1	1	yes	characteristic
1260	C₂×C₄⋊C₄	—	2	1	no	—
1261	C₂×C₄⋊C₄	—	2	1	no	—
1262	C₂×C₄⋊C₄	—	13	1	no	—
1263	C₂×C₄⋊C₄	—	13	1	no	—
1264	C₂×C₄⋊C₄	—	26	1	no	—
1265	C₂×C₄⋊C₄	—	26	1	no	—
1266	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂×C₂²⋊C₄	—	2	1	no	—
1269	C₂×C₂²⋊C₄	—	2	1	no	—
1270	C₂×C₂²⋊C₄	—	2	1	no	—
1271	C₂×C₂²⋊C₄	—	2	1	no	—
1272	C₂×C₂²⋊C₄	—	2	1	no	—
1273	C₂×C₂²⋊C₄	—	26	1	no	—
1274	C₂×C₂²⋊C₄	—	26	1	no	—
1275	C₂×C₂²⋊C₄	—	26	1	no	—
1276	C₂×C₂²⋊C₄	—	26	1	no	—
1277	C₂×C₂²⋊C₄	—	26	1	no	—
1278	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1279	#107	—	13	1	no	—
1280	#107	—	13	1	no	—
1281	#107	—	13	1	no	—
1282	#107	—	13	1	no	—
1283	#107	—	13	1	no	—
1284	#107	—	13	1	no	—
1285	#107	—	13	1	no	—
1286	#107	—	13	1	no	—
1287	#107	—	13	1	no	—
1288	#107	—	13	1	no	—
1289	#106	—	13	1	no	—
1290	#106	—	13	1	no	—
1291	#106	—	13	1	no	—
1292	#106	—	13	1	no	—
1293	#106	—	13	1	no	—
1294	#106	—	13	1	no	—
1295	C₄⋊C₈	—	13	1	no	—
1296	C₄⋊C₈	—	13	1	no	—
1297	C₄⋊C₈	—	13	1	no	—
1298	C₄⋊C₈	—	13	1	no	—
1299	C₄⋊C₈	—	13	1	no	—
1300	C₄⋊C₈	—	13	1	no	—
1301	#103	—	13	1	no	—
1302	#103	—	13	1	no	—
1303	#103	—	13	1	no	—
1304	#103	—	13	1	no	—
1305	#103	—	13	1	no	—
1306	#103	—	13	1	no	—
1307	#103	—	13	1	no	—
1308	#103	—	13	1	no	—
1309	#102	—	13	1	no	—
1310	#102	—	13	1	no	—
1311	#102	—	13	1	no	—
1312	#102	—	13	1	no	—
1313	#102	—	13	1	no	—
1314	#102	—	13	1	no	—
1315	#102	—	13	1	no	—
1316	#102	—	13	1	no	—
1317	#102	—	13	1	no	—
1318	#102	—	13	1	no	—
1319	#102	—	13	1	no	—
1320	#102	—	13	1	no	—
1321	#102	—	13	1	no	—
1322	#102	—	13	1	no	—
1323	#102	—	13	1	no	—
1324	#102	—	13	1	no	—
1325	#102	—	13	1	no	—
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	C₂²⋊C₈	—	13	1	no	—
1334	C₂²⋊C₈	—	13	1	no	—
1335	C₂²⋊C₈	—	13	1	no	—
1336	C₂²⋊C₈	—	13	1	no	—
1337	C₂²⋊C₈	—	13	1	no	—
1338	C₂²⋊C₈	—	13	1	no	—
1339	#97	—	13	1	no	—
1340	#97	—	13	1	no	—
1341	#97	—	13	1	no	—
1342	#97	—	13	1	no	—
1343	C₄×C₈	—	13	1	no	—
1344	C₄×C₈	—	13	1	no	—
1345	C₄×C₈	—	13	1	no	—
1346	C₄×C₈	—	13	1	no	—
1347	C₄×C₈	—	13	1	no	—
1348	C₄×C₈	—	13	1	no	—
1349	C₂×C₁₃	—	2	2	no	—
1350	C₂×C₁₃	—	4	1	no	—
1351	C₂×C₁₃	—	4	1	no	—
1352	C₂×C₁₃	—	4	2	no	—
1353	C₂×C₁₃	—	8	1	no	—
1354	C₂×C₁₃	—	8	1	no	—
1355	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1356	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1357	C₂×C₁₃	#3584	1	1	yes	characteristic
1358	D₁₃	—	4	2	no	—
1359	D₁₃	—	8	1	no	—
1360	D₁₃	—	8	1	no	—
1361	C₂⁴	—	2	1	no	—
1362	C₂⁴	—	2	1	no	—
1363	C₂⁴	—	26	1	no	—
1364	C₂⁴	—	26	1	no	—
1365	#41	—	2	2	no	—
1366	#41	—	4	1	no	—
1367	#41	—	8	2	no	—
1368	#41	—	26	2	no	—
1369	#41	—	52	1	no	—
1370	#41	—	104	2	no	—
1371	C₂×Q₈	—	2	1	no	—
1372	C₂×Q₈	—	13	1	no	—
1373	C₂×Q₈	—	26	1	no	—
1374	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1375	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1376	C₂×D₄	—	2	2	no	—
1377	C₂×D₄	—	2	2	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	4	1	no	—
1388	C₂×D₄	—	4	1	no	—
1389	C₂×D₄	—	8	2	no	—
1390	C₂×D₄	—	13	1	no	—
1391	C₂×D₄	—	13	1	no	—
1392	C₂×D₄	—	13	1	no	—
1393	C₂×D₄	—	26	2	no	—
1394	C₂×D₄	—	26	2	no	—
1395	C₂×D₄	—	26	1	no	—
1396	C₂×D₄	—	26	1	no	—
1397	C₂×D₄	—	26	1	no	—
1398	C₂×D₄	—	26	1	no	—
1399	C₂×D₄	—	26	1	no	—
1400	C₂×D₄	—	26	1	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	1	no	—
1403	C₂×D₄	—	26	1	no	—
1404	C₂×D₄	—	52	1	no	—
1405	C₂×D₄	—	52	1	no	—
1406	C₂×D₄	—	104	2	no	—
1407	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1408	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1409	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1410	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1411	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1412	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	8	2	no	—
1425	C₂²×C₄	—	26	1	no	—
1426	C₂²×C₄	—	26	1	no	—
1427	C₂²×C₄	—	26	1	no	—
1428	C₂²×C₄	—	26	1	no	—
1429	C₂²×C₄	—	26	1	no	—
1430	C₂²×C₄	—	26	1	no	—
1431	C₂²×C₄	—	26	1	no	—
1432	C₂²×C₄	—	26	1	no	—
1433	C₂²×C₄	—	26	1	no	—
1434	C₂²×C₄	—	26	1	no	—
1435	C₂²×C₄	—	26	1	no	—
1436	C₂²×C₄	—	104	2	no	—
1437	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1438	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1439	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1440	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1441	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1442	Q₁₆	—	52	1	no	—
1443	SD₁₆	—	26	2	no	—
1444	SD₁₆	—	26	2	no	—
1445	SD₁₆	—	26	2	no	—
1446	SD₁₆	—	26	2	no	—
1447	SD₁₆	—	52	1	no	—
1448	SD₁₆	—	52	1	no	—
1449	D₈	—	13	4	no	—
1450	D₈	—	26	2	no	—
1451	D₈	—	26	2	no	—
1452	D₈	—	26	2	no	—
1453	D₈	—	26	2	no	—
1454	D₈	—	26	2	no	—
1455	D₈	—	52	1	no	—
1456	D₈	—	52	1	no	—
1457	D₈	—	52	1	no	—
1458	M₁₆	—	26	2	no	—
1459	M₁₆	—	26	2	no	—
1460	C₂×C₈	—	13	1	no	—
1461	C₂×C₈	—	13	1	no	—
1462	C₂×C₈	—	13	1	no	—
1463	C₂×C₈	—	13	1	no	—
1464	C₂×C₈	—	13	1	no	—
1465	C₂×C₈	—	13	1	no	—
1466	C₂×C₈	—	13	1	no	—
1467	C₂×C₈	—	13	1	no	—
1468	C₂×C₈	—	26	2	no	—
1469	C₂×C₈	—	52	1	no	—
1470	C₂×C₈	—	52	1	no	—
1471	C₂×C₈	—	52	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	13	1	no	—
1484	C₄⋊C₄	—	13	1	no	—
1485	C₄⋊C₄	—	13	1	no	—
1486	C₄⋊C₄	—	13	1	no	—
1487	C₄⋊C₄	—	26	1	no	—
1488	C₄⋊C₄	—	26	1	no	—
1489	C₄⋊C₄	—	26	1	no	—
1490	C₄⋊C₄	—	26	1	no	—
1491	C₄⋊C₄	—	26	1	no	—
1492	C₄⋊C₄	—	26	1	no	—
1493	C₄⋊C₄	—	26	1	no	—
1494	C₄⋊C₄	—	26	1	no	—
1495	C₄⋊C₄	—	26	1	no	—
1496	C₄⋊C₄	—	26	1	no	—
1497	C₄⋊C₄	—	26	1	no	—
1498	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1500	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1501	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1502	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1503	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1504	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1505	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1506	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1507	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1508	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1509	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1510	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1511	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	26	1	no	—
1532	C₂²⋊C₄	—	26	1	no	—
1533	C₂²⋊C₄	—	26	1	no	—
1534	C₂²⋊C₄	—	26	1	no	—
1535	C₂²⋊C₄	—	26	1	no	—
1536	C₂²⋊C₄	—	26	1	no	—
1537	C₂²⋊C₄	—	26	1	no	—
1538	C₂²⋊C₄	—	26	1	no	—
1539	C₂²⋊C₄	—	26	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1553	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1554	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1555	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1556	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1557	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1558	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1559	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	26	1	no	—
1564	C₄²	—	26	1	no	—
1565	C₄²	—	26	1	no	—
1566	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1567	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1568	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1569	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1570	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1571	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1572	C₁₃	#61489	1	1	yes	characteristic, complemented, Sylow
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	4	2	no	—
1577	C₂³	—	4	2	no	—
1578	C₂³	—	4	2	no	—
1579	C₂³	—	8	1	no	—
1580	C₂³	—	8	1	no	—
1581	C₂³	—	8	1	no	—
1582	C₂³	—	26	1	no	—
1583	C₂³	—	26	1	no	—
1584	C₂³	—	26	1	no	—
1585	C₂³	—	52	2	no	—
1586	C₂³	—	52	2	no	—
1587	C₂³	—	52	2	no	—
1588	C₂³	—	104	1	no	—
1589	C₂³	—	104	1	no	—
1590	C₂³	—	104	1	no	—
1591	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1592	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1593	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	4	1	no	—
1597	Q₈	—	8	1	no	—
1598	Q₈	—	26	1	no	—
1599	Q₈	—	26	1	no	—
1600	Q₈	—	104	1	no	—
1601	D₄	—	2	2	no	—
1602	D₄	—	2	2	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	2	1	no	—
1605	D₄	—	2	1	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	2	1	no	—
1608	D₄	—	4	1	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	4	2	no	—
1611	D₄	—	4	2	no	—
1612	D₄	—	4	2	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	13	2	no	—
1619	D₄	—	26	1	no	—
1620	D₄	—	26	1	no	—
1621	D₄	—	26	1	no	—
1622	D₄	—	26	1	no	—
1623	D₄	—	26	1	no	—
1624	D₄	—	52	2	no	—
1625	D₄	—	52	2	no	—
1626	D₄	—	52	2	no	—
1627	D₄	—	52	2	no	—
1628	D₄	—	104	1	no	—
1629	D₄	—	104	1	no	—
1630	D₄	—	104	1	no	—
1631	D₄	—	104	1	no	—
1632	D₄	—	104	1	no	—
1633	D₄	#41×D₁₃	1	2	yes	—
1634	C₂×C₄	—	2	2	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	4	1	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	26	1	no	—
1659	C₂×C₄	—	26	1	no	—
1660	C₂×C₄	—	26	1	no	—
1661	C₂×C₄	—	26	1	no	—
1662	C₂×C₄	—	26	1	no	—
1663	C₂×C₄	—	52	2	no	—
1664	C₂×C₄	—	52	2	no	—
1665	C₂×C₄	—	104	1	no	—
1666	C₂×C₄	—	104	1	no	—
1667	C₂×C₄	—	104	1	no	—
1668	C₂×C₄	—	104	1	no	—
1669	C₂×C₄	—	104	1	no	—
1670	C₂×C₄	—	104	1	no	—
1671	C₂×C₄	—	104	1	no	—
1672	C₂×C₄	—	104	1	no	—
1673	C₂×C₄	—	104	1	no	—
1674	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1675	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1676	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1677	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1678	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1679	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1680	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1681	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1682	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1683	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1684	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1685	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1686	C₈	—	13	2	no	—
1687	C₈	—	26	1	no	—
1688	C₈	—	26	1	no	—
1689	C₈	—	26	1	no	—
1690	C₈	—	26	1	no	—
1691	C₈	—	26	1	no	—
1692	C₈	—	26	1	no	—
1693	C₈	—	26	1	no	—
1694	C₂²	—	2	1	no	—
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	2	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	8	4	no	—
1712	C₂²	—	16	2	no	—
1713	C₂²	—	26	2	no	—
1714	C₂²	—	52	1	no	—
1715	C₂²	—	52	1	no	—
1716	C₂²	—	52	1	no	—
1717	C₂²	—	52	1	no	—
1718	C₂²	—	52	1	no	—
1719	C₂²	—	52	1	no	—
1720	C₂²	—	52	1	no	—
1721	C₂²	—	52	1	no	—
1722	C₂²	—	104	4	no	—
1723	C₂²	—	208	2	no	—
1724	C₂²	#11719540	1	2	yes	—
1725	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1726	C₄	—	2	1	no	—
1727	C₄	—	2	1	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	2	1	no	—
1732	C₄	—	2	1	no	—
1733	C₄	—	2	1	no	—
1734	C₄	—	2	1	no	—
1735	C₄	—	2	1	no	—
1736	C₄	—	2	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	52	1	no	—
1743	C₄	—	52	1	no	—
1744	C₄	—	52	1	no	—
1745	C₄	—	52	1	no	—
1746	C₄	—	52	1	no	—
1747	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1748	C₄	#11719648	1	1	yes	characteristic
1749	C₂	—	2	2	no	—
1750	C₂	—	4	1	no	—
1751	C₂	—	4	1	no	—
1752	C₂	—	4	2	no	—
1753	C₂	—	8	1	no	—
1754	C₂	—	8	1	no	—
1755	C₂	—	52	2	no	—
1756	C₂	—	104	1	no	—
1757	C₂	—	104	1	no	—
1758	C₂	#41×C₂²⋊D₁₃	1	1	yes	characteristic
1759	C₂	C₂×#11719540	1	1	yes	characteristic
1760	C₂	#13129607	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3513	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3513	D₁₃
hypocenter	C₁₃	#61489
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3513

Complements

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

N	H ≅ G/N	type
1. #13128780	C₂	semidirect
2. #13127920	C₂	semidirect
3. #13127790	C₂	semidirect
4. #13127496	C₂	semidirect
5. #13127492	C₂	semidirect
6. #13127436	C₂	semidirect
7. #13127276	C₂	semidirect
8. #13127270	C₂	semidirect
9. #13126686	C₂	semidirect
10. #13126680	C₂	semidirect
11. #13126671	C₂	semidirect
12. #13126665	C₂	semidirect
13. #13126649	C₂	semidirect
14. #13126643	C₂	semidirect
15. #13126443	C₂	semidirect
16. #13126317	C₂	semidirect
17. #13126312	C₂	semidirect
18. #13125521	C₂	semidirect
19. #13125513	C₂	semidirect
20. #13125400	C₂	semidirect
21. #13125098	C₂	semidirect
22. #13125092	C₂	semidirect
23. #13125079	C₂	semidirect
24. #13125074	C₂	semidirect
25. #13124974	C₂	semidirect
26. #13124970	C₂	semidirect
27. #13123812	C₂	semidirect
28. #13123668	C₂	semidirect
29. #13123664	C₂	semidirect
30. C₂×C₄×#6104	C₂	semidirect
31. C₁₃×#3513	C₂	semidirect
32. C₁₃×#559	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#552	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
43. D₄²×C₁₃	C₂²	semidirect
44. C₁₃×#542	C₂²	semidirect
45. C₁₃×#540	C₂²	semidirect
49. C₁₃×#529	C₂²	semidirect
52. C₁₃×#520	C₂²	semidirect
53. C₁₃×#518	C₂²	semidirect
54. C₂×C₄×D₄×C₁₃	C₂²	semidirect
66. #11719290	C₂²	semidirect
67. #11719284	C₂²	semidirect
68. #11719270	C₂²	semidirect
71. #11719255	C₂²	semidirect
72. D₄×D₅₂	C₂²	semidirect
73. #11719246	C₂²	semidirect
74. #11719240	C₂²	semidirect
75. #11719239	C₂²	semidirect
76. #11719228	C₂²	semidirect
77. #11719226	C₂²	semidirect
78. #11719184	C₂²	semidirect
79. C₂×C₄×D₅₂	C₂²	semidirect
80. #11718900	C₂²	semidirect
82. #11718894	C₂²	semidirect
83. #11718879	C₂²	semidirect
85. #11718878	C₂²	semidirect
86. #11718878	C₂²	semidirect
87. C₂×#88072	C₂²	semidirect
88. C₂×#88072	C₂²	semidirect
89. #11718752	C₂²	semidirect
90. #11718749	C₂²	semidirect
91. #11718748	C₂²	semidirect
92. #11718741	C₂²	semidirect
93. #11718735	C₂²	semidirect
95. #11718733	C₂²	semidirect
96. #11718731	C₂²	semidirect
97. #11718729	C₂²	semidirect
98. #11718729	C₂²	semidirect
99. #11718727	C₂²	semidirect
100. #11718727	C₂²	semidirect
101. #11718727	C₂²	semidirect
102. #11718727	C₂²	semidirect
103. #11718726	C₂²	semidirect
104. #11718725	C₂²	semidirect
105. #11718720	C₂²	semidirect
106. #11718719	C₂²	semidirect
107. #11718718	C₂²	semidirect
108. #11718718	C₂²	semidirect
109. #11718718	C₂²	semidirect
110. #11718717	C₂²	semidirect
111. #11718717	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718712	C₂²	semidirect
114. #11718710	C₂²	semidirect
115. #11718709	C₂²	semidirect
116. #11718709	C₂²	semidirect
117. #11718708	C₂²	semidirect
118. #11718707	C₂²	semidirect
119. #11718705	C₂²	semidirect
120. #11718704	C₂²	semidirect
121. #11718703	C₂²	semidirect
122. #11718702	C₂²	semidirect
123. #11718702	C₂²	semidirect
124. #11718700	C₂²	semidirect
125. #11718700	C₂²	semidirect
127. #11718699	C₂²	semidirect
128. #11718699	C₂²	semidirect
131. #11718697	C₂²	semidirect
132. #11718697	C₂²	semidirect
133. #11718696	C₂²	semidirect
134. #11718696	C₂²	semidirect
135. #11718694	C₂²	semidirect
136. #11718694	C₂²	semidirect
137. C₄×#6107	C₂²	semidirect
138. #11718689	C₂²	semidirect
139. #11718687	C₂²	semidirect
140. #11718687	C₂²	semidirect
141. #11718687	C₂²	semidirect
142. C₄×#6106	C₂²	semidirect
143. C₄×#6106	C₂²	semidirect
144. #11718685	C₂²	semidirect
145. Q₈×#1055	C₂²	semidirect
146. #11718682	C₂²	semidirect
147. #11718679	C₂²	semidirect
148. #11718679	C₂²	semidirect
149. #11718679	C₂²	semidirect
150. C₄×#6105	C₂²	semidirect
151. C₄×#6105	C₂²	semidirect
152. #11718677	C₂²	semidirect
153. #11718677	C₂²	semidirect
154. #11718677	C₂²	semidirect
156. #11718676	C₂²	semidirect
159. #11718675	C₂²	semidirect
160. #11718675	C₂²	semidirect
161. #11718675	C₂²	semidirect
162. #11718675	C₂²	semidirect
165. C₄×#6104	C₂²	semidirect
166. C₄×#6104	C₂²	semidirect
167. C₄×#6104	C₂²	semidirect
168. C₄×#6104	C₂²	semidirect
169. C₄×#6104	C₂²	semidirect
170. C₄×#6104	C₂²	semidirect
171. C₄×#6104	C₂²	semidirect
172. C₄×#6104	C₂²	semidirect
173. C₄×#6104	C₂²	semidirect
174. #11718673	C₂²	semidirect
175. #11718672	C₂²	semidirect
176. #11718672	C₂²	semidirect
177. D₄×#1055	C₂²	semidirect
178. D₄×#1055	C₂²	semidirect
179. D₄×#1055	C₂²	semidirect
180. #11718670	C₂²	semidirect
181. #11718670	C₂²	semidirect
182. #11718670	C₂²	semidirect
183. #11718670	C₂²	semidirect
184. #11718668	C₂²	semidirect
185. #11718664	C₂²	semidirect
186. #11718664	C₂²	semidirect
187. #11718663	C₂²	semidirect
188. #11718661	C₂²	semidirect
189. #11718661	C₂²	semidirect
190. #11718658	C₂²	semidirect
191. #11718658	C₂²	semidirect
192. #11718656	C₂²	semidirect
193. #11718632	C₂²	semidirect
194. #11718631	C₂²	semidirect
195. #11718628	C₂²	semidirect
196. #11718628	C₂²	semidirect
197. C₂×#88049	C₂²	semidirect
198. C₂×#88049	C₂²	semidirect
199. #11718625	C₂²	semidirect
200. C₂×#88047	C₂²	semidirect
201. #11718587	C₂²	semidirect
202. C₂×C₄×#1055	C₂²	semidirect
644. #6104	#41	semidirect
694. #3513	D₁₃	semidirect
849. #559	C₂×D₁₃	semidirect
851. #554	C₂×D₁₃	semidirect
855. #553	C₂×D₁₃	semidirect
857. #552	C₂×D₁₃	semidirect
869. #546	C₂×D₁₃	semidirect
871. D₄²	C₂×D₁₃	semidirect
873. #542	C₂×D₁₃	semidirect
875. #540	C₂×D₁₃	semidirect
882. #529	C₂×D₁₃	semidirect
888. #520	C₂×D₁₃	semidirect
890. #518	C₂×D₁₃	semidirect
892. C₂×C₄×D₄	C₂×D₁₃	semidirect
1572. C₁₃	#61489	semidirect

Maximal subgroups

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

subgroup	index
#13128780	2
#13127920	2
#13127790	2
#13127496	2
#13127492	2
#13127436	2
#13127276	2
#13127270	2
#13126686	2
#13126680	2
#13126671	2
#13126665	2
#13126649	2
#13126643	2
#13126443	2
#13126317	2
#13126312	2
#13125521	2
#13125513	2
#13125400	2
#13125098	2
#13125092	2
#13125079	2
#13125074	2
#13124974	2
#13124970	2
#13123812	2
#13123668	2
#13123664	2
C₂×C₄×#6104	2
C₁₃×#3513	2
#61489	13