Subgroups — #16739911

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127046	C₂	1	2	yes	maximal, complemented
3	#13127031	C₂	1	2	yes	maximal, complemented
4	#13126986	C₂	1	2	yes	maximal, complemented
5	#13126911	C₂	1	2	yes	maximal, complemented
6	#13126866	C₂	1	2	yes	maximal, complemented
7	#13126791	C₂	1	2	yes	maximal, complemented
8	#13126680	C₂	1	2	yes	maximal, complemented
9	#13126665	C₂	1	2	yes	maximal, complemented
10	#13125225	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124784	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124776	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124629	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124468	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124457	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124330	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124076	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124062	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#88203	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#6099	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123353	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11718662	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#6127	C₂²	1	1	yes	characteristic
25	C₂³×D₅₂	C₂²	1	1	yes	characteristic
26	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#551	—	2	1	no	—
35	C₁₃×#551	—	2	1	no	—
36	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	—	2	1	no	—
38	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#529	—	2	1	no	—
40	C₁₃×#529	—	2	1	no	—
41	C₁₃×#529	—	2	1	no	—
42	C₁₃×#525	C₂²	1	1	yes	characteristic
43	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
44	C₄×C₁₃×#41	—	2	1	no	—
45	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88203	C₂²	1	1	yes	characteristic
51	C₂×#88203	C₂²	1	1	yes	characteristic
52	C₂×#88191	—	2	1	no	—
53	C₂×#88184	C₂²	1	1	yes	characteristic
54	C₂×#88178	C₂²	1	1	yes	characteristic
55	C₂²×#6099	C₂²	1	1	yes	characteristic
56	C₂²×#6099	C₂²	1	1	yes	characteristic, complemented
57	#11719255	—	2	1	no	—
58	#11719255	—	2	1	no	—
59	#11719255	—	2	1	no	—
60	#11719255	—	2	1	no	—
61	#11719255	C₂²	1	2	yes	—
62	#11719255	C₂²	1	2	yes	—
63	#11719255	C₂²	1	2	yes	—
64	#11719255	C₂²	1	2	yes	—
65	C₂×#88148	—	2	1	no	—
66	C₂×#88138	—	2	1	no	—
67	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
68	C₂×#88129	C₂²	1	1	yes	characteristic
69	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
70	#11718893	C₂²	1	1	yes	characteristic, complemented
71	#11718868	C₂²	1	1	yes	characteristic
72	#11718868	C₂²	1	1	yes	characteristic, complemented
73	#11718750	C₂²	1	2	yes	complemented
74	#11718750	C₂²	1	2	yes	complemented
75	#11718748	C₂²	1	2	yes	complemented
76	#11718745	C₂²	1	2	yes	complemented
77	#11718729	C₂²	1	2	yes	complemented
78	#11718729	C₂²	1	2	yes	complemented
79	#11718727	C₂²	1	2	yes	complemented
80	#11718727	C₂²	1	2	yes	complemented
81	#11718713	C₂²	1	2	yes	complemented
82	#11718712	C₂²	1	2	yes	complemented
83	#11718710	C₂²	1	2	yes	complemented
84	#11718709	C₂²	1	2	yes	complemented
85	#11718708	C₂²	1	2	yes	complemented
86	#11718708	C₂²	1	2	yes	complemented
87	#11718707	C₂²	1	2	yes	complemented
88	#11718707	C₂²	1	2	yes	complemented
89	#11718703	C₂²	1	2	yes	complemented
90	#11718702	C₂²	1	2	yes	complemented
91	#11718700	C₂²	1	2	yes	complemented
92	#11718699	C₂²	1	2	yes	complemented
93	#11718698	C₂²	1	2	yes	complemented
94	#11718698	C₂²	1	2	yes	complemented
95	#11718697	C₂²	1	2	yes	complemented
96	#11718697	C₂²	1	2	yes	complemented
97	#11718689	C₂²	1	2	yes	complemented
98	#11718689	C₂²	1	2	yes	complemented
99	#11718687	C₂²	1	2	yes	complemented
100	C₄×#6106	C₂²	1	2	yes	complemented
101	#11718677	C₂²	1	2	yes	complemented
102	#11718677	C₂²	1	2	yes	complemented
103	#11718675	C₂²	1	2	yes	complemented
104	C₄×#6104	C₂²	1	2	yes	complemented
105	#11718673	C₂²	1	2	yes	complemented
106	#11718672	C₂²	1	2	yes	complemented
107	#11718672	C₂²	1	2	yes	complemented
108	D₄×#1055	C₂²	1	2	yes	complemented
109	#11718665	C₂²	1	1	yes	characteristic, complemented
110	#11718665	C₂²	1	1	yes	characteristic, complemented
111	#11718665	C₂²	1	1	yes	characteristic, complemented
112	#11718664	C₂²	1	2	yes	complemented
113	#11718664	C₂²	1	2	yes	complemented
114	#11718663	C₂²	1	2	yes	complemented
115	#11718663	C₂²	1	2	yes	complemented
116	#11718662	C₂²	1	1	yes	characteristic
117	#11718662	C₂²	1	1	yes	characteristic
118	#11718662	C₂²	1	1	yes	characteristic
119	#11718662	C₂²	1	1	yes	characteristic
120	#11718662	C₂²	1	1	yes	characteristic
121	#11718662	C₂²	1	1	yes	characteristic
122	#11718662	C₂²	1	2	yes	complemented
123	#11718662	C₂²	1	2	yes	complemented
124	#11718657	C₂²	1	2	yes	complemented
125	#11718657	C₂²	1	2	yes	complemented
126	#11718656	C₂²	1	1	yes	characteristic, complemented
127	#11718656	C₂²	1	1	yes	characteristic, complemented
128	#11718656	C₂²	1	1	yes	characteristic, complemented
129	#11718632	C₂²	1	2	yes	complemented
130	#11718631	C₂²	1	2	yes	complemented
131	#11718629	C₂²	1	2	yes	complemented
132	#11718628	C₂²	1	2	yes	complemented
133	#11718627	C₂²	1	2	yes	complemented
134	#11718627	C₂²	1	2	yes	complemented
135	C₂×#88049	C₂²	1	2	yes	complemented
136	C₂×#88049	C₂²	1	2	yes	complemented
137	#11718585	C₂²	1	1	yes	characteristic, complemented
138	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₁₃	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×C₂²⋊D₁₃	—	2	1	no	—
146	C₂²×C₂²⋊D₁₃	—	2	1	no	—
147	C₂×#6127	—	2	1	no	—
148	C₂×#6127	—	2	1	no	—
149	C₂×#6127	—	2	4	no	—
150	C₂×#6127	—	4	2	no	—
151	C₂×#6127	C₂³	1	2	yes	—
152	C₂×#6127	C₂³	1	2	yes	—
153	C₂²×D₅₂	—	2	4	no	—
154	C₂²×D₅₂	—	2	1	no	—
155	C₂²×D₅₂	—	2	1	no	—
156	C₂²×D₅₂	—	2	1	no	—
157	C₂²×D₅₂	—	4	2	no	—
158	C₂²×D₅₂	C₂³	1	1	yes	characteristic
159	C₂²×D₅₂	C₂³	1	2	yes	—
160	C₂²×D₅₂	C₂³	1	2	yes	—
161	C₂²×D₅₂	C₂³	1	1	yes	characteristic
162	C₂²×C₄×D₁₃	—	2	1	no	—
163	C₂²×C₄×D₁₃	—	2	1	no	—
164	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
167	C₁₃×#126	—	2	1	no	—
168	C₁₃×#126	—	2	1	no	—
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
177	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
178	C₁₃×#124	—	2	1	no	—
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	—	2	1	no	—
181	C₁₃×#123	—	2	1	no	—
182	C₁₃×#123	—	2	1	no	—
183	C₁₃×#123	—	2	1	no	—
184	C₁₃×#123	—	2	1	no	—
185	C₁₃×#123	—	2	1	no	—
186	C₁₃×#123	—	2	1	no	—
187	C₁₃×#123	—	2	1	no	—
188	C₁₃×#123	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	1	no	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
195	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
196	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
197	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	C₂³	1	1	yes	characteristic
202	C₁₃×#121	C₂³	1	1	yes	characteristic
203	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
204	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
205	C₁₃×#120	—	2	1	no	—
206	C₁₃×#120	—	2	1	no	—
207	C₄×Q₈×C₁₃	—	2	1	no	—
208	C₄×Q₈×C₁₃	—	2	1	no	—
209	C₄×Q₈×C₁₃	—	2	1	no	—
210	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
211	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
212	C₄×D₄×C₁₃	—	2	1	no	—
213	C₄×D₄×C₁₃	—	2	1	no	—
214	C₄×D₄×C₁₃	—	2	1	no	—
215	C₄×D₄×C₁₃	—	2	1	no	—
216	C₄×D₄×C₁₃	—	2	1	no	—
217	C₄×D₄×C₁₃	—	2	1	no	—
218	C₄×D₄×C₁₃	—	2	1	no	—
219	C₄×D₄×C₁₃	—	2	1	no	—
220	C₄×D₄×C₁₃	—	2	1	no	—
221	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
222	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
223	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
224	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
225	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
230	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
231	C₁₃×#117	—	2	1	no	—
232	C₁₃×#117	—	2	1	no	—
233	C₁₃×#117	—	2	1	no	—
234	C₁₃×#117	—	2	1	no	—
235	C₁₃×#117	—	2	1	no	—
236	C₁₃×#117	—	2	1	no	—
237	C₁₃×#117	—	2	1	no	—
238	C₁₃×#117	—	2	1	no	—
239	C₁₃×#117	C₂³	1	1	yes	characteristic
240	C₁₃×#117	C₂³	1	1	yes	characteristic
241	C₁₃×#117	C₂³	1	1	yes	characteristic
242	C₁₃×#117	C₂³	1	1	yes	characteristic
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
245	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
254	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
255	C₂×C₄²×C₁₃	—	2	1	no	—
256	C₂×C₄²×C₁₃	—	2	1	no	—
257	C₂×C₄²×C₁₃	—	2	1	no	—
258	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
260	#88205	—	4	2	no	—
261	#88203	—	2	4	no	—
262	#88203	—	4	2	no	—
263	C₂×#6107	C₂³	1	2	yes	complemented
264	C₂×#6106	C₂³	1	2	yes	—
265	C₂×#6106	C₂³	1	2	yes	—
266	#88191	—	2	2	no	—
267	#88191	—	2	2	no	—
268	#88191	—	2	2	no	—
269	#88191	—	2	2	no	—
270	C₂×#6105	C₂³	1	2	yes	complemented
271	C₂×#6104	C₂³	1	2	yes	—
272	C₂×#6104	C₂³	1	2	yes	—
273	#88184	—	2	1	no	—
274	#88184	—	2	1	no	—
275	#88184	C₂³	1	2	yes	—
276	#88184	C₂³	1	2	yes	—
277	C₂×#6103	—	2	1	no	—
278	C₂×#6103	—	2	1	no	—
279	C₂×#6103	—	2	1	no	—
280	C₂×#6103	—	2	1	no	—
281	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
282	#88178	—	2	1	no	—
283	#88178	—	2	1	no	—
284	#88178	C₂³	1	2	yes	—
285	#88178	C₂³	1	2	yes	—
286	C₂×#6101	—	2	1	no	—
287	C₂×#6099	—	4	2	no	—
288	C₂×#6099	—	4	2	no	—
289	C₂×#6099	C₂³	1	1	yes	characteristic
290	C₂×#6099	C₂³	1	1	yes	characteristic
291	C₂×#6099	C₂³	1	1	yes	characteristic
292	C₂×#6099	C₂³	1	1	yes	characteristic
293	C₂×#6099	C₂³	1	2	yes	—
294	C₂×#6099	C₂³	1	2	yes	complemented
295	C₂²×#1055	C₂³	1	2	yes	—
296	C₂²×#1055	C₂³	1	2	yes	complemented
297	#88148	—	2	2	no	—
298	#88148	—	2	2	no	—
299	#88148	—	2	2	no	—
300	#88148	—	2	2	no	—
301	#88138	—	2	2	no	—
302	#88138	—	2	2	no	—
303	#88138	—	2	2	no	—
304	#88138	—	2	2	no	—
305	C₂²⋊C₄×D₁₃	—	2	2	no	—
306	C₂²⋊C₄×D₁₃	—	2	2	no	—
307	C₂²⋊C₄×D₁₃	—	2	2	no	—
308	C₂²⋊C₄×D₁₃	—	2	2	no	—
309	#88129	—	2	1	no	—
310	#88129	—	2	1	no	—
311	#88129	C₂³	1	2	yes	—
312	#88129	C₂³	1	2	yes	—
313	C₄×D₅₂	—	2	1	no	—
314	C₄×D₅₂	—	2	1	no	—
315	C₄×D₅₂	C₂³	1	2	yes	—
316	C₄×D₅₂	C₂³	1	2	yes	—
317	#88075	C₂³	1	2	yes	complemented
318	#88072	C₂³	1	2	yes	complemented
319	C₂²⋊#1055	C₂³	1	2	yes	—
320	C₂²⋊#1055	C₂³	1	2	yes	—
321	C₂²⋊#1055	C₂³	1	2	yes	complemented
322	C₂²⋊#1055	C₂³	1	2	yes	complemented
323	#88050	C₂³	1	2	yes	complemented
324	#88050	C₂³	1	2	yes	complemented
325	#88050	C₂³	1	2	yes	complemented
326	#88050	C₂³	1	2	yes	complemented
327	#88050	C₂³	1	2	yes	complemented
328	#88050	C₂³	1	2	yes	complemented
329	#88049	C₂³	1	2	yes	—
330	#88049	C₂³	1	2	yes	—
331	#88049	C₂³	1	2	yes	—
332	#88049	C₂³	1	2	yes	—
333	#88049	C₂³	1	2	yes	—
334	#88049	C₂³	1	2	yes	—
335	#88049	C₂³	1	2	yes	—
336	#88049	C₂³	1	2	yes	—
337	#88049	C₂³	1	2	yes	—
338	#88049	C₂³	1	2	yes	—
339	#88049	C₂³	1	2	yes	—
340	#88049	C₂³	1	2	yes	—
341	#88048	C₂³	1	2	yes	complemented
342	#88048	C₂³	1	2	yes	complemented
343	#88048	C₂³	1	2	yes	complemented
344	#88047	C₂³	1	2	yes	complemented
345	#88047	C₂³	1	2	yes	complemented
346	#88047	C₂³	1	2	yes	complemented
347	C₄⋊#1055	C₂³	1	2	yes	complemented
348	C₄⋊#1055	C₂³	1	2	yes	complemented
349	#88043	C₂³	1	2	yes	complemented
350	C₄×#1055	C₂³	1	2	yes	complemented
351	#61156	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
354	C₂³×D₁₃	—	2	1	no	—
355	C₂³×D₁₃	—	2	1	no	—
356	C₂³×D₁₃	—	2	2	no	—
357	C₂³×D₁₃	—	2	2	no	—
358	C₂³×D₁₃	—	4	4	no	—
359	C₂³×D₁₃	—	4	4	no	—
360	C₂³×D₁₃	—	8	2	no	—
361	C₁₃×#41	—	2	2	no	—
362	C₁₃×#41	—	2	2	no	—
363	C₁₃×#41	—	4	4	no	—
364	C₂×Q₈×C₁₃	—	2	1	no	—
365	C₂×Q₈×C₁₃	—	2	1	no	—
366	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	4	2	no	—
373	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
374	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	2	2	no	—
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	1	no	—
386	C₂²×C₄×C₁₃	—	2	1	no	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	1	no	—
389	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₂²⋊D₁₃	—	2	2	no	—
403	C₂×C₂²⋊D₁₃	—	2	2	no	—
404	C₂×C₂²⋊D₁₃	—	2	2	no	—
405	C₂×C₂²⋊D₁₃	—	2	2	no	—
406	C₂×C₂²⋊D₁₃	—	4	4	no	—
407	C₂×C₂²⋊D₁₃	—	8	2	no	—
408	C₂²×Dic₁₃	—	2	1	no	—
409	C₂²×Dic₁₃	—	2	1	no	—
410	#6127	—	2	4	no	—
411	#6127	—	2	4	no	—
412	#6127	—	4	2	no	—
413	#6127	—	4	2	no	—
414	#6127	—	4	4	no	—
415	#6127	—	4	4	no	—
416	C₂×D₅₂	—	2	1	no	—
417	C₂×D₅₂	—	2	2	no	—
418	C₂×D₅₂	—	2	2	no	—
419	C₂×D₅₂	—	2	2	no	—
420	C₂×D₅₂	—	2	4	no	—
421	C₂×D₅₂	—	2	4	no	—
422	C₂×D₅₂	—	2	1	no	—
423	C₂×D₅₂	—	2	2	no	—
424	C₂×D₅₂	—	2	2	no	—
425	C₂×D₅₂	—	4	2	no	—
426	C₂×D₅₂	—	4	2	no	—
427	C₂×D₅₂	—	4	4	no	—
428	C₂×D₅₂	—	4	4	no	—
429	C₂×D₅₂	—	4	4	no	—
430	C₂×D₅₂	#41	1	4	yes	complemented
431	C₂×D₅₂	C₂⁴	1	2	yes	—
432	C₂×D₅₂	C₂⁴	1	2	yes	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
435	C₂×C₄×D₁₃	—	2	2	no	—
436	C₂×C₄×D₁₃	—	2	2	no	—
437	C₂×C₄×D₁₃	—	4	4	no	—
438	C₂×C₄×D₁₃	—	8	2	no	—
439	C₂×Dic₂₆	—	2	2	no	—
440	C₂×Dic₂₆	—	2	2	no	—
441	C₂×Dic₂₆	—	2	1	no	—
442	C₂×Dic₂₆	C₂⁴	1	2	yes	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	1	no	—
445	C₁₃×C₄⋊C₄	—	2	1	no	—
446	C₁₃×C₄⋊C₄	—	2	1	no	—
447	C₁₃×C₄⋊C₄	—	2	1	no	—
448	C₁₃×C₄⋊C₄	—	2	1	no	—
449	C₁₃×C₄⋊C₄	—	2	1	no	—
450	C₁₃×C₄⋊C₄	—	2	1	no	—
451	C₁₃×C₄⋊C₄	—	2	1	no	—
452	C₁₃×C₄⋊C₄	—	2	1	no	—
453	C₁₃×C₄⋊C₄	—	2	1	no	—
454	C₁₃×C₄⋊C₄	—	2	1	no	—
455	C₁₃×C₄⋊C₄	—	2	1	no	—
456	C₁₃×C₄⋊C₄	—	2	1	no	—
457	C₁₃×C₄⋊C₄	—	2	1	no	—
458	C₁₃×C₄⋊C₄	—	2	1	no	—
459	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
461	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
462	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
463	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
464	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
465	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
466	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
467	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
468	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	—	2	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	1	no	—
484	C₁₃×C₂²⋊C₄	—	2	1	no	—
485	C₁₃×C₂²⋊C₄	—	2	1	no	—
486	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
489	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
490	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
491	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
492	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
493	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	—	2	1	no	—
495	C₄²×C₁₃	—	2	1	no	—
496	C₄²×C₁₃	—	2	1	no	—
497	C₄²×C₁₃	—	2	1	no	—
498	C₄²×C₁₃	—	2	1	no	—
499	C₄²×C₁₃	—	2	1	no	—
500	C₄²×C₁₃	—	2	1	no	—
501	C₄²×C₁₃	—	2	1	no	—
502	C₄²×C₁₃	—	2	1	no	—
503	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²⋊Dic₁₃	—	2	2	no	—
508	C₂²⋊Dic₁₃	—	2	2	no	—
509	#6107	—	4	2	no	—
510	#6106	—	2	4	no	—
511	#6106	—	4	2	no	—
512	#6105	—	4	2	no	—
513	#6104	—	2	4	no	—
514	#6104	—	4	2	no	—
515	#6103	—	2	2	no	—
516	#6103	—	2	2	no	—
517	#6103	—	2	2	no	—
518	#6103	—	2	2	no	—
519	#6103	—	2	2	no	—
520	#6103	—	2	2	no	—
521	#6103	—	2	2	no	—
522	#6103	—	2	2	no	—
523	C₄⋊Dic₁₃	—	2	1	no	—
524	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
525	#6101	—	2	2	no	—
526	#6101	—	2	2	no	—
527	#6099	—	2	2	no	—
528	#6099	—	2	2	no	—
529	#6099	—	2	2	no	—
530	#6099	—	2	2	no	—
531	#6099	—	4	2	no	—
532	#6099	—	4	2	no	—
533	C₂×#1055	—	4	2	no	—
534	C₂×#1055	—	4	2	no	—
535	C₂×#1055	C₂⁴	1	2	yes	—
536	C₂×#1055	C₂⁴	1	2	yes	—
537	C₂×#1055	C₂⁴	1	2	yes	—
538	C₂×#1055	C₂⁴	1	2	yes	—
539	#3475	D₁₃	1	1	yes	characteristic, complemented
540	C₂×#546	—	13	1	no	—
541	#3323	—	13	2	no	—
542	#3322	—	13	2	no	—
543	#3319	—	13	2	no	—
544	#3314	—	13	2	no	—
545	#3311	—	13	2	no	—
546	#3306	—	13	2	no	—
547	#3297	—	13	2	no	—
548	#3296	—	13	2	no	—
549	#3140	—	13	1	no	—
550	#3095	—	13	1	no	—
551	#3094	—	13	1	no	—
552	#3077	—	13	1	no	—
553	#3056	—	13	1	no	—
554	#3055	—	13	1	no	—
555	#3040	—	13	1	no	—
556	#3005	—	13	1	no	—
557	#3003	—	13	1	no	—
558	C₄×AGL(1,ℤ/8)	—	13	1	no	—
559	D₄×M₁₆	—	13	1	no	—
560	#2896	—	13	1	no	—
561	C₂×#418	—	13	1	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	2	no	—
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	4	1	no	—
567	C₂³×C₁₃	—	4	1	no	—
568	C₂³×C₁₃	—	4	1	no	—
569	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
570	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
571	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
572	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
573	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
574	C₂²×D₁₃	—	2	4	no	—
575	C₂²×D₁₃	—	2	2	no	—
576	C₂²×D₁₃	—	2	2	no	—
577	C₂²×D₁₃	—	4	4	no	—
578	C₂²×D₁₃	—	4	4	no	—
579	C₂²×D₁₃	—	4	2	no	—
580	C₂²×D₁₃	—	4	2	no	—
581	C₂²×D₁₃	—	4	2	no	—
582	C₂²×D₁₃	—	4	4	no	—
583	C₂²×D₁₃	—	4	2	no	—
584	C₂²×D₁₃	—	4	2	no	—
585	C₂²×D₁₃	—	4	4	no	—
586	C₂²×D₁₃	—	8	2	no	—
587	C₂²×D₁₃	—	8	2	no	—
588	C₂²×D₁₃	—	8	16	no	—
589	Q₈×C₁₃	—	2	1	no	—
590	Q₈×C₁₃	—	2	1	no	—
591	Q₈×C₁₃	—	4	2	no	—
592	Q₈×C₁₃	—	8	1	no	—
593	D₄×C₁₃	—	2	2	no	—
594	D₄×C₁₃	—	2	2	no	—
595	D₄×C₁₃	—	2	1	no	—
596	D₄×C₁₃	—	2	1	no	—
597	D₄×C₁₃	—	4	1	no	—
598	D₄×C₁₃	—	4	1	no	—
599	D₄×C₁₃	—	4	2	no	—
600	D₄×C₁₃	—	4	2	no	—
601	D₄×C₁₃	—	4	2	no	—
602	D₄×C₁₃	—	8	1	no	—
603	D₄×C₁₃	—	8	1	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	2	2	no	—
609	C₂×C₄×C₁₃	—	2	2	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	4	1	no	—
626	C₂×C₄×C₁₃	—	4	1	no	—
627	C₂×C₄×C₁₃	—	4	2	no	—
628	C₂×C₄×C₁₃	—	4	2	no	—
629	C₂×C₄×C₁₃	—	4	2	no	—
630	C₂×C₄×C₁₃	—	4	2	no	—
631	C₂×C₄×C₁₃	—	8	1	no	—
632	C₂×C₄×C₁₃	—	8	1	no	—
633	C₂×C₄×C₁₃	—	8	1	no	—
634	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
635	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
636	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
637	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
638	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
639	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
640	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
641	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
642	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
643	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
644	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
645	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
646	C₂²⋊D₁₃	—	4	4	no	—
647	C₂²⋊D₁₃	—	4	4	no	—
648	C₂²⋊D₁₃	—	8	2	no	—
649	C₂²⋊D₁₃	—	8	2	no	—
650	C₂×Dic₁₃	—	2	2	no	—
651	C₂×Dic₁₃	—	2	2	no	—
652	C₂×Dic₁₃	—	4	2	no	—
653	C₂×Dic₁₃	—	4	2	no	—
654	D₅₂	—	2	4	no	—
655	D₅₂	—	2	2	no	—
656	D₅₂	—	2	2	no	—
657	D₅₂	—	2	2	no	—
658	D₅₂	—	4	4	no	—
659	D₅₂	—	4	4	no	—
660	D₅₂	—	4	2	no	—
661	D₅₂	C₂×#41	1	4	yes	—
662	C₄×D₁₃	—	4	4	no	—
663	C₄×D₁₃	—	4	4	no	—
664	C₄×D₁₃	—	8	2	no	—
665	C₄×D₁₃	—	8	2	no	—
666	Dic₂₆	—	2	2	no	—
667	Dic₂₆	—	2	2	no	—
668	Dic₂₆	—	4	2	no	—
669	#1055	—	2	2	no	—
670	#1055	—	2	2	no	—
671	#1055	—	2	2	no	—
672	#1055	—	2	2	no	—
673	C₂²×#41	—	13	1	no	—
674	C₂³×D₄	—	13	1	no	—
675	C₂×#137	—	13	1	no	—
676	C₂×AGL(1,ℤ/8)	—	13	1	no	—
677	C₂×AGL(1,ℤ/8)	—	13	1	no	—
678	C₂²×M₁₆	—	13	1	no	—
679	C₂²×M₁₆	—	13	1	no	—
680	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
681	#555	C₂×D₁₃	1	1	yes	characteristic, complemented
682	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
683	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
684	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
685	#552	—	2	1	no	—
686	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
687	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
688	#551	—	2	1	no	—
689	#551	—	2	1	no	—
690	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
691	#546	—	2	1	no	—
692	#546	—	13	2	no	—
693	#546	—	13	2	no	—
694	#546	—	13	2	no	—
695	#546	—	13	2	no	—
696	#546	—	26	1	no	—
697	#546	—	26	1	no	—
698	#546	—	26	1	no	—
699	#546	—	26	1	no	—
700	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
701	#529	—	2	1	no	—
702	#529	—	2	1	no	—
703	#529	—	2	1	no	—
704	C₂×#124	—	13	1	no	—
705	#525	C₂×D₁₃	1	1	yes	characteristic
706	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
707	C₂×#123	—	26	1	no	—
708	C₂×C₂²⋊Q₈	—	13	1	no	—
709	C₂×#121	—	13	1	no	—
710	C₂×#121	—	26	1	no	—
711	C₂×#120	—	26	1	no	—
712	C₄×#41	—	2	1	no	—
713	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
714	C₂×C₄×D₄	—	13	1	no	—
715	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
716	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
717	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
718	C₂²×C₂²⋊C₄	—	26	1	no	—
719	#489	—	13	2	no	—
720	#489	—	13	2	no	—
721	#488	—	13	2	no	—
722	#488	—	13	2	no	—
723	#485	—	13	2	no	—
724	#485	—	13	2	no	—
725	#484	—	13	2	no	—
726	#483	—	13	2	no	—
727	#482	—	13	2	no	—
728	#482	—	13	2	no	—
729	#481	—	13	2	no	—
730	#480	—	13	2	no	—
731	#478	—	13	2	no	—
732	#478	—	13	2	no	—
733	#476	—	13	2	no	—
734	#474	—	13	2	no	—
735	#470	—	13	2	no	—
736	#469	—	13	2	no	—
737	#468	—	13	2	no	—
738	#468	—	13	2	no	—
739	#467	—	13	2	no	—
740	#466	—	13	2	no	—
741	#465	—	13	2	no	—
742	#465	—	13	2	no	—
743	#464	—	13	2	no	—
744	#464	—	13	2	no	—
745	#463	—	13	2	no	—
746	#463	—	13	2	no	—
747	#452	—	13	2	no	—
748	#452	—	13	2	no	—
749	#450	—	13	2	no	—
750	#450	—	13	2	no	—
751	#449	—	13	2	no	—
752	#449	—	13	2	no	—
753	#447	—	13	2	no	—
754	#447	—	13	2	no	—
755	#442	—	13	2	no	—
756	#440	—	13	2	no	—
757	C₄×SD₁₆	—	13	2	no	—
758	C₄×D₈	—	13	2	no	—
759	#436	—	13	2	no	—
760	#435	—	13	2	no	—
761	#435	—	13	2	no	—
762	C₈×D₄	—	13	2	no	—
763	#428	—	13	1	no	—
764	#428	—	13	1	no	—
765	#428	—	13	1	no	—
766	#423	—	13	1	no	—
767	#419	—	13	1	no	—
768	#419	—	13	1	no	—
769	#419	—	13	1	no	—
770	#418	—	13	1	no	—
771	#418	—	13	1	no	—
772	#418	—	13	1	no	—
773	#418	—	13	1	no	—
774	#418	—	13	1	no	—
775	#418	—	13	1	no	—
776	#418	—	13	2	no	—
777	#418	—	13	2	no	—
778	#417	—	13	1	no	—
779	#417	—	13	2	no	—
780	#417	—	13	2	no	—
781	#416	—	13	2	no	—
782	#416	—	13	2	no	—
783	C₂×#102	—	13	2	no	—
784	C₂×#102	—	13	2	no	—
785	#407	—	13	1	no	—
786	#407	—	13	1	no	—
787	C₄×M₁₆	—	13	1	no	—
788	C₂²×C₁₃	—	2	1	no	—
789	C₂²×C₁₃	—	2	1	no	—
790	C₂²×C₁₃	—	2	1	no	—
791	C₂²×C₁₃	—	2	1	no	—
792	C₂²×C₁₃	—	2	1	no	—
793	C₂²×C₁₃	—	2	1	no	—
794	C₂²×C₁₃	—	2	1	no	—
795	C₂²×C₁₃	—	2	1	no	—
796	C₂²×C₁₃	—	2	1	no	—
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	2	1	no	—
799	C₂²×C₁₃	—	2	1	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	4	4	no	—
802	C₂²×C₁₃	—	4	1	no	—
803	C₂²×C₁₃	—	4	1	no	—
804	C₂²×C₁₃	—	4	1	no	—
805	C₂²×C₁₃	—	8	2	no	—
806	C₂²×C₁₃	#546	1	2	yes	—
807	C₂²×C₁₃	#575	1	2	yes	—
808	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
809	C₂×D₁₃	—	2	4	no	—
810	C₂×D₁₃	—	4	8	no	—
811	C₂×D₁₃	—	4	2	no	—
812	C₂×D₁₃	—	4	2	no	—
813	C₂×D₁₃	—	4	2	no	—
814	C₂×D₁₃	—	4	2	no	—
815	C₂×D₁₃	—	4	2	no	—
816	C₂×D₁₃	—	8	8	no	—
817	C₂×D₁₃	—	8	8	no	—
818	C₂×D₁₃	—	8	4	no	—
819	C₄×C₁₃	—	2	1	no	—
820	C₄×C₁₃	—	2	1	no	—
821	C₄×C₁₃	—	2	1	no	—
822	C₄×C₁₃	—	2	1	no	—
823	C₄×C₁₃	—	2	1	no	—
824	C₄×C₁₃	—	2	1	no	—
825	C₄×C₁₃	—	2	1	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	—	4	1	no	—
828	C₄×C₁₃	—	4	1	no	—
829	C₄×C₁₃	—	4	1	no	—
830	C₄×C₁₃	—	4	1	no	—
831	C₄×C₁₃	—	4	1	no	—
832	C₄×C₁₃	—	4	1	no	—
833	C₄×C₁₃	—	4	1	no	—
834	C₄×C₁₃	#546	1	2	yes	—
835	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
836	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
837	Dic₁₃	—	4	2	no	—
838	Dic₁₃	—	4	2	no	—
839	C₂⁵	—	26	1	no	—
840	C₂×#41	—	2	1	no	—
841	C₂×#41	—	13	2	no	—
842	C₂×#41	—	13	2	no	—
843	C₂×#41	—	26	4	no	—
844	C₂×#41	—	26	1	no	—
845	C₂×#41	—	26	1	no	—
846	C₂×#41	—	52	2	no	—
847	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
848	C₂²×Q₈	—	13	1	no	—
849	C₂²×D₄	—	13	1	no	—
850	C₂²×D₄	—	13	1	no	—
851	C₂²×D₄	—	13	2	no	—
852	C₂²×D₄	—	13	2	no	—
853	C₂²×D₄	—	26	4	no	—
854	C₂²×D₄	—	26	1	no	—
855	C₂²×D₄	—	26	1	no	—
856	C₂²×D₄	—	26	1	no	—
857	C₂²×D₄	—	26	1	no	—
858	C₂²×D₄	—	26	1	no	—
859	C₂²×D₄	—	52	2	no	—
860	C₂²×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
861	C₂³×C₄	—	26	1	no	—
862	C₂³×C₄	—	26	1	no	—
863	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
864	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
865	#137	—	52	2	no	—
866	AGL(1,ℤ/8)	—	26	4	no	—
867	AGL(1,ℤ/8)	—	52	2	no	—
868	C₂×Q₁₆	—	13	2	no	—
869	C₂×SD₁₆	—	13	2	no	—
870	C₂×SD₁₆	—	13	2	no	—
871	C₂×SD₁₆	—	13	2	no	—
872	C₂×D₈	—	13	2	no	—
873	C₂×D₈	—	13	2	no	—
874	C₂×M₁₆	—	13	1	no	—
875	C₂×M₁₆	—	13	1	no	—
876	C₂×M₁₆	—	13	1	no	—
877	C₂×M₁₆	—	13	1	no	—
878	C₂×M₁₆	—	13	2	no	—
879	C₂×M₁₆	—	13	2	no	—
880	C₂×M₁₆	—	52	2	no	—
881	C₂×M₁₆	—	52	2	no	—
882	C₂²×C₈	—	13	2	no	—
883	C₂²×C₈	—	13	2	no	—
884	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
885	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
886	#126	—	2	1	no	—
887	#126	—	2	1	no	—
888	#126	—	2	1	no	—
889	#126	—	2	1	no	—
890	#126	—	2	1	no	—
891	#126	—	2	1	no	—
892	#125	—	2	1	no	—
893	#125	—	2	1	no	—
894	#125	—	2	1	no	—
895	#125	C₂²×D₁₃	1	1	yes	characteristic, complemented
896	#125	C₂²×D₁₃	1	1	yes	characteristic, complemented
897	#124	—	2	1	no	—
898	#124	—	2	1	no	—
899	#124	—	2	1	no	—
900	#124	—	13	2	no	—
901	#124	—	13	2	no	—
902	#124	—	26	1	no	—
903	#124	—	26	1	no	—
904	#123	—	2	1	no	—
905	#123	—	2	1	no	—
906	#123	—	2	1	no	—
907	#123	—	2	1	no	—
908	#123	—	2	1	no	—
909	#123	—	2	1	no	—
910	#123	—	2	1	no	—
911	#123	—	2	1	no	—
912	#123	—	26	2	no	—
913	#123	—	26	2	no	—
914	#123	—	26	2	no	—
915	#123	—	26	2	no	—
916	C₂²⋊Q₈	—	2	1	no	—
917	C₂²⋊Q₈	—	2	1	no	—
918	C₂²⋊Q₈	—	2	1	no	—
919	C₂²⋊Q₈	—	2	1	no	—
920	C₂²⋊Q₈	—	2	1	no	—
921	C₂²⋊Q₈	—	13	2	no	—
922	C₂²⋊Q₈	—	13	2	no	—
923	C₂²⋊Q₈	—	26	1	no	—
924	C₂²⋊Q₈	—	26	1	no	—
925	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
926	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
927	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
928	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
929	#121	—	2	1	no	—
930	#121	—	2	1	no	—
931	#121	—	2	1	no	—
932	#121	—	13	2	no	—
933	#121	—	13	2	no	—
934	#121	—	26	1	no	—
935	#121	—	26	1	no	—
936	#121	—	26	2	no	—
937	#121	—	26	2	no	—
938	#121	—	26	2	no	—
939	#121	—	26	2	no	—
940	#121	C₂²×D₁₃	1	1	yes	characteristic
941	#121	C₂²×D₁₃	1	1	yes	characteristic
942	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
943	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
944	#120	—	2	1	no	—
945	#120	—	2	1	no	—
946	#120	—	26	2	no	—
947	#120	—	26	2	no	—
948	#120	—	26	2	no	—
949	#120	—	26	2	no	—
950	C₄×Q₈	—	2	1	no	—
951	C₄×Q₈	—	2	1	no	—
952	C₄×Q₈	—	2	1	no	—
953	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
954	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
955	C₄×D₄	—	2	1	no	—
956	C₄×D₄	—	2	1	no	—
957	C₄×D₄	—	2	1	no	—
958	C₄×D₄	—	2	1	no	—
959	C₄×D₄	—	2	1	no	—
960	C₄×D₄	—	2	1	no	—
961	C₄×D₄	—	2	1	no	—
962	C₄×D₄	—	2	1	no	—
963	C₄×D₄	—	2	1	no	—
964	C₄×D₄	—	13	2	no	—
965	C₄×D₄	—	13	2	no	—
966	C₄×D₄	—	26	1	no	—
967	C₄×D₄	—	26	1	no	—
968	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
969	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
970	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
971	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
972	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
974	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
975	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
977	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
978	#117	—	2	1	no	—
979	#117	—	2	1	no	—
980	#117	—	2	1	no	—
981	#117	—	2	1	no	—
982	#117	—	2	1	no	—
983	#117	—	2	1	no	—
984	#117	—	2	1	no	—
985	#117	—	2	1	no	—
986	#117	C₂²×D₁₃	1	1	yes	characteristic
987	#117	C₂²×D₁₃	1	1	yes	characteristic
988	#117	C₂²×D₁₃	1	1	yes	characteristic
989	#117	C₂²×D₁₃	1	1	yes	characteristic
990	#117	C₂²×D₁₃	1	1	yes	characteristic
991	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
992	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
993	C₂×C₄⋊C₄	—	13	1	no	—
994	C₂×C₄⋊C₄	—	26	1	no	—
995	C₂×C₄⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
999	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1000	C₂×C₂²⋊C₄	—	2	1	no	—
1001	C₂×C₂²⋊C₄	—	2	1	no	—
1002	C₂×C₂²⋊C₄	—	26	1	no	—
1003	C₂×C₂²⋊C₄	—	26	1	no	—
1004	C₂×C₂²⋊C₄	—	26	1	no	—
1005	C₂×C₂²⋊C₄	—	26	1	no	—
1006	C₂×C₂²⋊C₄	—	26	1	no	—
1007	C₂×C₂²⋊C₄	—	26	2	no	—
1008	C₂×C₂²⋊C₄	—	26	2	no	—
1009	C₂×C₂²⋊C₄	—	26	2	no	—
1010	C₂×C₂²⋊C₄	—	26	2	no	—
1011	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1013	C₂×C₄²	—	2	1	no	—
1014	C₂×C₄²	—	2	1	no	—
1015	C₂×C₄²	—	2	1	no	—
1016	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1017	#107	—	13	2	no	—
1018	#107	—	13	2	no	—
1019	#107	—	13	2	no	—
1020	#106	—	13	2	no	—
1021	#106	—	13	2	no	—
1022	#106	—	13	2	no	—
1023	C₄⋊C₈	—	13	2	no	—
1024	C₄⋊C₈	—	13	2	no	—
1025	#103	—	13	2	no	—
1026	#103	—	13	2	no	—
1027	#103	—	13	2	no	—
1028	#103	—	13	2	no	—
1029	#103	—	13	2	no	—
1030	#103	—	13	2	no	—
1031	#103	—	13	2	no	—
1032	#102	—	13	2	no	—
1033	#102	—	13	2	no	—
1034	#102	—	13	2	no	—
1035	#102	—	13	2	no	—
1036	#102	—	13	2	no	—
1037	#102	—	13	2	no	—
1038	#102	—	13	2	no	—
1039	#102	—	13	2	no	—
1040	#102	—	13	2	no	—
1041	#102	—	13	2	no	—
1042	#102	—	13	2	no	—
1043	#102	—	13	2	no	—
1044	#102	—	13	2	no	—
1045	C₂²⋊C₈	—	13	2	no	—
1046	C₂²⋊C₈	—	13	2	no	—
1047	C₂²⋊C₈	—	13	2	no	—
1048	C₂²⋊C₈	—	13	2	no	—
1049	#97	—	13	2	no	—
1050	C₄×C₈	—	13	2	no	—
1051	C₂×C₁₃	—	2	2	no	—
1052	C₂×C₁₃	—	2	2	no	—
1053	C₂×C₁₃	—	4	1	no	—
1054	C₂×C₁₃	—	4	1	no	—
1055	C₂×C₁₃	—	4	1	no	—
1056	C₂×C₁₃	—	8	1	no	—
1057	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1058	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1059	C₂×C₁₃	#3585	1	1	yes	characteristic
1060	D₁₃	—	4	4	no	—
1061	D₁₃	—	8	2	no	—
1062	C₂⁴	—	26	1	no	—
1063	C₂⁴	—	26	1	no	—
1064	C₂⁴	—	26	2	no	—
1065	C₂⁴	—	26	2	no	—
1066	C₂⁴	—	52	4	no	—
1067	C₂⁴	—	52	4	no	—
1068	C₂⁴	—	104	2	no	—
1069	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1070	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1071	#41	—	2	2	no	—
1072	#41	—	2	2	no	—
1073	#41	—	4	4	no	—
1074	#41	—	26	4	no	—
1075	#41	—	26	4	no	—
1076	#41	—	52	2	no	—
1077	#41	—	52	2	no	—
1078	#41	—	52	4	no	—
1079	#41	—	52	4	no	—
1080	C₂×Q₈	—	2	1	no	—
1081	C₂×Q₈	—	2	1	no	—
1082	C₂×Q₈	—	13	2	no	—
1083	C₂×Q₈	—	26	1	no	—
1084	C₂×Q₈	—	26	2	no	—
1085	C₂×Q₈	—	26	2	no	—
1086	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1087	C₂×D₄	—	2	1	no	—
1088	C₂×D₄	—	2	1	no	—
1089	C₂×D₄	—	2	1	no	—
1090	C₂×D₄	—	2	1	no	—
1091	C₂×D₄	—	2	1	no	—
1092	C₂×D₄	—	4	2	no	—
1093	C₂×D₄	—	13	4	no	—
1094	C₂×D₄	—	13	2	no	—
1095	C₂×D₄	—	13	2	no	—
1096	C₂×D₄	—	26	4	no	—
1097	C₂×D₄	—	26	4	no	—
1098	C₂×D₄	—	26	2	no	—
1099	C₂×D₄	—	26	2	no	—
1100	C₂×D₄	—	26	2	no	—
1101	C₂×D₄	—	26	2	no	—
1102	C₂×D₄	—	26	2	no	—
1103	C₂×D₄	—	26	2	no	—
1104	C₂×D₄	—	26	2	no	—
1105	C₂×D₄	—	26	1	no	—
1106	C₂×D₄	—	26	2	no	—
1107	C₂×D₄	—	26	2	no	—
1108	C₂×D₄	—	26	1	no	—
1109	C₂×D₄	—	52	2	no	—
1110	C₂×D₄	—	52	2	no	—
1111	C₂×D₄	—	52	4	no	—
1112	C₂×D₄	—	52	4	no	—
1113	C₂×D₄	—	52	4	no	—
1114	C₂×D₄	—	52	4	no	—
1115	C₂×D₄	—	104	2	no	—
1116	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1117	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1118	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1119	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1120	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	2	1	no	—
1126	C₂²×C₄	—	2	1	no	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	1	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	26	1	no	—
1133	C₂²×C₄	—	26	1	no	—
1134	C₂²×C₄	—	26	2	no	—
1135	C₂²×C₄	—	26	2	no	—
1136	C₂²×C₄	—	26	2	no	—
1137	C₂²×C₄	—	26	2	no	—
1138	C₂²×C₄	—	52	4	no	—
1139	C₂²×C₄	—	104	2	no	—
1140	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1153	Q₁₆	—	52	2	no	—
1154	SD₁₆	—	26	4	no	—
1155	SD₁₆	—	52	2	no	—
1156	SD₁₆	—	52	2	no	—
1157	D₈	—	26	4	no	—
1158	D₈	—	52	2	no	—
1159	M₁₆	—	26	2	no	—
1160	M₁₆	—	26	2	no	—
1161	M₁₆	—	26	2	no	—
1162	M₁₆	—	26	2	no	—
1163	M₁₆	—	52	2	no	—
1164	M₁₆	—	52	2	no	—
1165	C₂×C₈	—	13	2	no	—
1166	C₂×C₈	—	13	2	no	—
1167	C₂×C₈	—	13	2	no	—
1168	C₂×C₈	—	13	2	no	—
1169	C₂×C₈	—	52	2	no	—
1170	C₂×C₈	—	52	2	no	—
1171	C₄⋊C₄	—	2	1	no	—
1172	C₄⋊C₄	—	2	1	no	—
1173	C₄⋊C₄	—	2	1	no	—
1174	C₄⋊C₄	—	2	1	no	—
1175	C₄⋊C₄	—	2	1	no	—
1176	C₄⋊C₄	—	2	1	no	—
1177	C₄⋊C₄	—	2	1	no	—
1178	C₄⋊C₄	—	2	1	no	—
1179	C₄⋊C₄	—	2	1	no	—
1180	C₄⋊C₄	—	2	1	no	—
1181	C₄⋊C₄	—	2	1	no	—
1182	C₄⋊C₄	—	2	1	no	—
1183	C₄⋊C₄	—	2	1	no	—
1184	C₄⋊C₄	—	2	1	no	—
1185	C₄⋊C₄	—	2	1	no	—
1186	C₄⋊C₄	—	2	1	no	—
1187	C₄⋊C₄	—	13	2	no	—
1188	C₄⋊C₄	—	26	1	no	—
1189	C₄⋊C₄	—	26	2	no	—
1190	C₄⋊C₄	—	26	2	no	—
1191	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1192	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1193	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1194	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1195	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1196	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1197	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1198	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1199	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1200	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1201	C₂²⋊C₄	—	2	1	no	—
1202	C₂²⋊C₄	—	2	1	no	—
1203	C₂²⋊C₄	—	2	1	no	—
1204	C₂²⋊C₄	—	2	1	no	—
1205	C₂²⋊C₄	—	2	1	no	—
1206	C₂²⋊C₄	—	2	1	no	—
1207	C₂²⋊C₄	—	2	1	no	—
1208	C₂²⋊C₄	—	2	1	no	—
1209	C₂²⋊C₄	—	2	1	no	—
1210	C₂²⋊C₄	—	2	1	no	—
1211	C₂²⋊C₄	—	2	1	no	—
1212	C₂²⋊C₄	—	2	1	no	—
1213	C₂²⋊C₄	—	2	1	no	—
1214	C₂²⋊C₄	—	2	1	no	—
1215	C₂²⋊C₄	—	2	1	no	—
1216	C₂²⋊C₄	—	2	1	no	—
1217	C₂²⋊C₄	—	2	1	no	—
1218	C₂²⋊C₄	—	26	2	no	—
1219	C₂²⋊C₄	—	26	2	no	—
1220	C₂²⋊C₄	—	26	2	no	—
1221	C₂²⋊C₄	—	26	2	no	—
1222	C₂²⋊C₄	—	26	2	no	—
1223	C₂²⋊C₄	—	26	2	no	—
1224	C₂²⋊C₄	—	26	2	no	—
1225	C₂²⋊C₄	—	26	2	no	—
1226	C₂²⋊C₄	—	26	2	no	—
1227	C₂²⋊C₄	—	26	2	no	—
1228	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1229	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1230	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1231	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1232	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1234	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1235	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1236	C₄²	—	2	1	no	—
1237	C₄²	—	2	1	no	—
1238	C₄²	—	2	1	no	—
1239	C₄²	—	2	1	no	—
1240	C₄²	—	2	1	no	—
1241	C₄²	—	2	1	no	—
1242	C₄²	—	2	1	no	—
1243	C₄²	—	2	1	no	—
1244	C₄²	—	2	1	no	—
1245	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1246	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1247	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1248	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1249	C₁₃	#61156	1	1	yes	characteristic, complemented, Sylow
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	2	no	—
1252	C₂³	—	2	2	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	4	1	no	—
1255	C₂³	—	4	1	no	—
1256	C₂³	—	4	1	no	—
1257	C₂³	—	26	4	no	—
1258	C₂³	—	26	2	no	—
1259	C₂³	—	26	2	no	—
1260	C₂³	—	52	4	no	—
1261	C₂³	—	52	4	no	—
1262	C₂³	—	52	2	no	—
1263	C₂³	—	52	2	no	—
1264	C₂³	—	52	2	no	—
1265	C₂³	—	52	2	no	—
1266	C₂³	—	52	4	no	—
1267	C₂³	—	52	4	no	—
1268	C₂³	—	52	2	no	—
1269	C₂³	—	104	2	no	—
1270	C₂³	—	104	2	no	—
1271	C₂³	—	104	16	no	—
1272	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1273	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1274	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1275	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1276	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1277	Q₈	—	2	1	no	—
1278	Q₈	—	2	1	no	—
1279	Q₈	—	4	2	no	—
1280	Q₈	—	8	1	no	—
1281	Q₈	—	26	2	no	—
1282	Q₈	—	26	2	no	—
1283	Q₈	—	52	2	no	—
1284	D₄	—	2	2	no	—
1285	D₄	—	2	2	no	—
1286	D₄	—	2	1	no	—
1287	D₄	—	2	1	no	—
1288	D₄	—	4	1	no	—
1289	D₄	—	4	1	no	—
1290	D₄	—	4	2	no	—
1291	D₄	—	4	2	no	—
1292	D₄	—	4	2	no	—
1293	D₄	—	8	1	no	—
1294	D₄	—	8	1	no	—
1295	D₄	—	13	4	no	—
1296	D₄	—	26	4	no	—
1297	D₄	—	26	2	no	—
1298	D₄	—	26	2	no	—
1299	D₄	—	26	2	no	—
1300	D₄	—	52	4	no	—
1301	D₄	—	52	4	no	—
1302	D₄	—	52	4	no	—
1303	D₄	—	52	4	no	—
1304	D₄	—	52	2	no	—
1305	D₄	—	104	2	no	—
1306	D₄	—	104	2	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	4	1	no	—
1329	C₂×C₄	—	4	1	no	—
1330	C₂×C₄	—	4	2	no	—
1331	C₂×C₄	—	4	2	no	—
1332	C₂×C₄	—	4	2	no	—
1333	C₂×C₄	—	4	2	no	—
1334	C₂×C₄	—	8	1	no	—
1335	C₂×C₄	—	8	1	no	—
1336	C₂×C₄	—	8	1	no	—
1337	C₂×C₄	—	26	2	no	—
1338	C₂×C₄	—	26	2	no	—
1339	C₂×C₄	—	52	4	no	—
1340	C₂×C₄	—	52	4	no	—
1341	C₂×C₄	—	52	2	no	—
1342	C₂×C₄	—	52	2	no	—
1343	C₂×C₄	—	104	2	no	—
1344	C₂×C₄	—	104	2	no	—
1345	C₂×C₄	#41×D₁₃	1	2	yes	—
1346	C₂×C₄	#88256	1	2	yes	—
1347	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1348	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1349	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1350	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1351	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1352	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1353	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1354	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1355	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1356	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1357	C₈	—	26	2	no	—
1358	C₈	—	26	2	no	—
1359	C₈	—	26	2	no	—
1360	C₈	—	26	2	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	1	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	1	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	4	4	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	8	2	no	—
1379	C₂²	—	26	4	no	—
1380	C₂²	—	52	8	no	—
1381	C₂²	—	52	2	no	—
1382	C₂²	—	52	2	no	—
1383	C₂²	—	52	2	no	—
1384	C₂²	—	52	2	no	—
1385	C₂²	—	52	2	no	—
1386	C₂²	—	104	8	no	—
1387	C₂²	—	104	4	no	—
1388	C₂²	—	104	8	no	—
1389	C₂²	#11719527	1	2	yes	—
1390	C₂²	#11719534	1	2	yes	—
1391	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	4	1	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	1	no	—
1404	C₄	—	4	1	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	52	2	no	—
1408	C₄	—	52	2	no	—
1409	C₄	#11719534	1	2	yes	—
1410	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1411	C₄	C₂×#88256	1	1	yes	characteristic
1412	C₂	—	2	2	no	—
1413	C₂	—	2	2	no	—
1414	C₂	—	4	1	no	—
1415	C₂	—	4	1	no	—
1416	C₂	—	4	1	no	—
1417	C₂	—	8	1	no	—
1418	C₂	—	52	4	no	—
1419	C₂	—	104	2	no	—
1420	C₂	C₂×#11719534	1	1	yes	characteristic
1421	C₂	C₂×#11719527	1	1	yes	characteristic
1422	C₂	#13129615	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×#3475	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3475	D₁₃
hypocenter	C₁₃	#61156
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
1. C₂×#11719255	C₂	semidirect
2. #13127046	C₂	semidirect
3. #13127031	C₂	semidirect
4. #13126986	C₂	semidirect
5. #13126911	C₂	semidirect
6. #13126866	C₂	semidirect
7. #13126791	C₂	semidirect
8. #13126680	C₂	semidirect
9. #13126665	C₂	semidirect
10. #13125225	C₂	semidirect
11. #13124784	C₂	semidirect
12. #13124776	C₂	semidirect
13. #13124629	C₂	semidirect
14. #13124468	C₂	semidirect
15. #13124457	C₂	semidirect
16. #13124330	C₂	semidirect
17. #13124076	C₂	semidirect
18. #13124062	C₂	semidirect
19. C₄×#88203	C₂	semidirect
20. D₄×#6099	C₂	semidirect
21. #13123353	C₂	semidirect
22. C₂×#11718662	C₂	semidirect
23. C₁₃×#3475	C₂	semidirect
26. C₁₃×#556	C₂²	semidirect
27. C₁₃×#555	C₂²	semidirect
28. C₁₃×#554	C₂²	semidirect
29. C₁₃×#553	C₂²	semidirect
30. C₁₃×#553	C₂²	semidirect
32. C₁₃×#552	C₂²	semidirect
33. C₁₃×#552	C₂²	semidirect
36. C₁₃×#547	C₂²	semidirect
38. C₁₃×#533	C₂²	semidirect
43. C₁₃×#525	C₂²	semidirect
45. C₄×C₁₃×#41	C₂²	semidirect
48. C₂×C₁₃×#117	C₂²	semidirect
49. C₂×#88205	C₂²	semidirect
56. C₂²×#6099	C₂²	semidirect
70. #11718893	C₂²	semidirect
72. #11718868	C₂²	semidirect
73. #11718750	C₂²	semidirect
74. #11718750	C₂²	semidirect
75. #11718748	C₂²	semidirect
76. #11718745	C₂²	semidirect
77. #11718729	C₂²	semidirect
78. #11718729	C₂²	semidirect
79. #11718727	C₂²	semidirect
80. #11718727	C₂²	semidirect
81. #11718713	C₂²	semidirect
82. #11718712	C₂²	semidirect
83. #11718710	C₂²	semidirect
84. #11718709	C₂²	semidirect
85. #11718708	C₂²	semidirect
86. #11718708	C₂²	semidirect
87. #11718707	C₂²	semidirect
88. #11718707	C₂²	semidirect
89. #11718703	C₂²	semidirect
90. #11718702	C₂²	semidirect
91. #11718700	C₂²	semidirect
92. #11718699	C₂²	semidirect
93. #11718698	C₂²	semidirect
94. #11718698	C₂²	semidirect
95. #11718697	C₂²	semidirect
96. #11718697	C₂²	semidirect
97. #11718689	C₂²	semidirect
98. #11718689	C₂²	semidirect
99. #11718687	C₂²	semidirect
100. C₄×#6106	C₂²	semidirect
101. #11718677	C₂²	semidirect
102. #11718677	C₂²	semidirect
103. #11718675	C₂²	semidirect
104. C₄×#6104	C₂²	semidirect
105. #11718673	C₂²	semidirect
106. #11718672	C₂²	semidirect
107. #11718672	C₂²	semidirect
108. D₄×#1055	C₂²	semidirect
109. #11718665	C₂²	semidirect
110. #11718665	C₂²	semidirect
111. #11718665	C₂²	semidirect
112. #11718664	C₂²	semidirect
113. #11718664	C₂²	semidirect
114. #11718663	C₂²	semidirect
115. #11718663	C₂²	semidirect
122. #11718662	C₂²	semidirect
123. #11718662	C₂²	semidirect
124. #11718657	C₂²	semidirect
125. #11718657	C₂²	semidirect
126. #11718656	C₂²	semidirect
127. #11718656	C₂²	semidirect
128. #11718656	C₂²	semidirect
129. #11718632	C₂²	semidirect
130. #11718631	C₂²	semidirect
131. #11718629	C₂²	semidirect
132. #11718628	C₂²	semidirect
133. #11718627	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. C₂×#88049	C₂²	semidirect
136. C₂×#88049	C₂²	semidirect
137. #11718585	C₂²	semidirect
138. C₄×#6099	C₂²	semidirect
165. C₁₃×C₄⋊Q₈	C₂³	semidirect
166. C₁₃×C₄⋊Q₈	C₂³	semidirect
176. C₁₃×#125	C₂³	semidirect
177. C₁₃×#125	C₂³	semidirect
196. C₁₃×C₂²⋊Q₈	C₂³	semidirect
197. C₁₃×C₂²⋊Q₈	C₂³	semidirect
203. C₁₃×#121	C₂³	semidirect
204. C₁₃×#121	C₂³	semidirect
210. C₄×Q₈×C₁₃	C₂³	semidirect
211. C₄×Q₈×C₁₃	C₂³	semidirect
229. C₄×D₄×C₁₃	C₂³	semidirect
230. C₄×D₄×C₁₃	C₂³	semidirect
244. C₁₃×#117	C₂³	semidirect
245. C₁₃×#117	C₂³	semidirect
249. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
250. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
263. C₂×#6107	C₂³	semidirect
270. C₂×#6105	C₂³	semidirect
294. C₂×#6099	C₂³	semidirect
296. C₂²×#1055	C₂³	semidirect
317. #88075	C₂³	semidirect
318. #88072	C₂³	semidirect
321. C₂²⋊#1055	C₂³	semidirect
322. C₂²⋊#1055	C₂³	semidirect
323. #88050	C₂³	semidirect
324. #88050	C₂³	semidirect
325. #88050	C₂³	semidirect
326. #88050	C₂³	semidirect
327. #88050	C₂³	semidirect
328. #88050	C₂³	semidirect
341. #88048	C₂³	semidirect
342. #88048	C₂³	semidirect
343. #88048	C₂³	semidirect
344. #88047	C₂³	semidirect
345. #88047	C₂³	semidirect
346. #88047	C₂³	semidirect
347. C₄⋊#1055	C₂³	semidirect
348. C₄⋊#1055	C₂³	semidirect
349. #88043	C₂³	semidirect
350. C₄×#1055	C₂³	semidirect
430. C₂×D₅₂	#41	semidirect
539. #3475	D₁₃	semidirect
680. #556	C₂×D₁₃	semidirect
681. #555	C₂×D₁₃	semidirect
682. #554	C₂×D₁₃	semidirect
683. #553	C₂×D₁₃	semidirect
684. #553	C₂×D₁₃	semidirect
686. #552	C₂×D₁₃	semidirect
687. #552	C₂×D₁₃	semidirect
690. #547	C₂×D₁₃	semidirect
700. #533	C₂×D₁₃	semidirect
706. #525	C₂×D₁₃	semidirect
713. C₄×#41	C₂×D₁₃	semidirect
717. C₂×#117	C₂×D₁₃	semidirect
884. C₄⋊Q₈	C₂²×D₁₃	semidirect
885. C₄⋊Q₈	C₂²×D₁₃	semidirect
895. #125	C₂²×D₁₃	semidirect
896. #125	C₂²×D₁₃	semidirect
927. C₂²⋊Q₈	C₂²×D₁₃	semidirect
928. C₂²⋊Q₈	C₂²×D₁₃	semidirect
942. #121	C₂²×D₁₃	semidirect
943. #121	C₂²×D₁₃	semidirect
953. C₄×Q₈	C₂²×D₁₃	semidirect
954. C₄×Q₈	C₂²×D₁₃	semidirect
976. C₄×D₄	C₂²×D₁₃	semidirect
977. C₄×D₄	C₂²×D₁₃	semidirect
991. #117	C₂²×D₁₃	semidirect
992. #117	C₂²×D₁₃	semidirect
998. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
999. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1249. C₁₃	#61156	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719255	2
#13127046	2
#13127031	2
#13126986	2
#13126911	2
#13126866	2
#13126791	2
#13126680	2
#13126665	2
#13125225	2
#13124784	2
#13124776	2
#13124629	2
#13124468	2
#13124457	2
#13124330	2
#13124076	2
#13124062	2
C₄×#88203	2
D₄×#6099	2
#13123353	2
C₂×#11718662	2
C₁₃×#3475	2
#61156	13