Subgroups — #16748091

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1456 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	#13127031	C₂	1	2	yes	maximal, complemented
3	#13126986	C₂	1	2	yes	maximal, complemented
4	#13126911	C₂	1	2	yes	maximal, complemented
5	#13126680	C₂	1	2	yes	maximal, complemented
6	#13126517	C₂	1	2	yes	maximal, complemented
7	#13126443	C₂	1	2	yes	maximal, complemented
8	#13126377	C₂	1	2	yes	maximal, complemented
9	#13126312	C₂	1	2	yes	maximal, complemented
10	#13125819	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125797	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125646	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125642	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125613	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125584	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124970	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124832	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124086	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124062	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124052	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11718697	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123871	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3519	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₅₂	C₂²	1	1	yes	characteristic, complemented
26	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#553	—	2	1	no	—
29	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#546	—	2	1	no	—
33	C₁₃×#546	—	2	1	no	—
34	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
36	D₄²×C₁₃	—	2	1	no	—
37	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#540	—	2	1	no	—
39	C₁₃×#538	—	2	1	no	—
40	C₁₃×#538	—	2	1	no	—
41	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#525	C₂²	1	1	yes	characteristic
44	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#518	—	2	1	no	—
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×#88204	C₂²	1	2	yes	complemented
50	C₂×#88203	C₂²	1	2	yes	complemented
51	C₂×#88191	—	2	1	no	—
52	C₂×#88186	C₂²	1	2	yes	complemented
53	C₂²×#6104	C₂²	1	2	yes	complemented
54	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
56	#11719255	—	2	1	no	—
57	#11719255	—	2	1	no	—
58	#11719255	—	2	1	no	—
59	#11719255	—	2	1	no	—
60	#11719255	C₂²	1	2	yes	—
61	#11719255	C₂²	1	2	yes	complemented
62	#11719255	C₂²	1	2	yes	complemented
63	#11719255	C₂²	1	2	yes	complemented
64	C₂×#88148	—	2	1	no	—
65	C₂×#88138	—	2	1	no	—
66	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
67	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
69	#11718900	C₂²	1	2	yes	complemented
70	#11718899	C₂²	1	2	yes	complemented
71	#11718879	C₂²	1	2	yes	complemented
72	#11718878	C₂²	1	2	yes	complemented
73	#11718868	C₂²	1	1	yes	characteristic, complemented
74	#11718868	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
77	#11718750	C₂²	1	2	yes	complemented
78	#11718748	C₂²	1	2	yes	complemented
79	#11718735	C₂²	1	2	yes	complemented
80	#11718733	C₂²	1	2	yes	complemented
81	#11718729	C₂²	1	2	yes	complemented
82	#11718727	C₂²	1	2	yes	complemented
83	#11718720	C₂²	1	2	yes	complemented
84	#11718718	C₂²	1	2	yes	complemented
85	#11718712	C₂²	1	2	yes	complemented
86	#11718711	C₂²	1	1	yes	characteristic, complemented
87	#11718710	C₂²	1	2	yes	complemented
88	#11718708	C₂²	1	2	yes	complemented
89	#11718707	C₂²	1	1	yes	characteristic, complemented
90	#11718707	C₂²	1	1	yes	characteristic, complemented
91	#11718707	C₂²	1	2	yes	complemented
92	#11718704	C₂²	1	1	yes	characteristic, complemented
93	#11718703	C₂²	1	2	yes	complemented
94	#11718703	C₂²	1	2	yes	complemented
95	#11718702	C₂²	1	2	yes	complemented
96	#11718701	C₂²	1	1	yes	characteristic, complemented
97	#11718701	C₂²	1	1	yes	characteristic, complemented
98	#11718701	C₂²	1	1	yes	characteristic, complemented
99	#11718700	C₂²	1	2	yes	complemented
100	#11718699	C₂²	1	2	yes	complemented
101	#11718699	C₂²	1	2	yes	complemented
102	#11718698	C₂²	1	2	yes	complemented
103	#11718698	C₂²	1	2	yes	complemented
104	#11718698	C₂²	1	2	yes	complemented
105	#11718697	C₂²	1	1	yes	characteristic
106	#11718697	C₂²	1	1	yes	characteristic
107	#11718697	C₂²	1	1	yes	characteristic, complemented
108	#11718697	C₂²	1	2	yes	complemented
109	#11718697	C₂²	1	2	yes	complemented
110	#11718697	C₂²	1	2	yes	complemented
111	#11718697	C₂²	1	1	yes	characteristic, complemented
112	#11718697	C₂²	1	1	yes	characteristic, complemented
113	#11718697	C₂²	1	1	yes	characteristic, complemented
114	#11718694	C₂²	1	1	yes	characteristic, complemented
115	#11718694	C₂²	1	1	yes	characteristic, complemented
116	#11718694	C₂²	1	1	yes	characteristic, complemented
117	#11718689	C₂²	1	2	yes	complemented
118	#11718687	C₂²	1	2	yes	complemented
119	#11718677	C₂²	1	2	yes	complemented
120	#11718677	C₂²	1	2	yes	complemented
121	#11718677	C₂²	1	2	yes	complemented
122	#11718675	C₂²	1	2	yes	complemented
123	C₄×#6104	C₂²	1	2	yes	complemented
124	C₄×#6104	C₂²	1	2	yes	complemented
125	#11718673	C₂²	1	2	yes	complemented
126	#11718672	C₂²	1	2	yes	complemented
127	#11718672	C₂²	1	2	yes	complemented
128	D₄×#1055	C₂²	1	2	yes	complemented
129	#11718664	C₂²	1	2	yes	complemented
130	#11718663	C₂²	1	2	yes	complemented
131	#11718662	C₂²	1	2	yes	complemented
132	#11718657	C₂²	1	2	yes	complemented
133	#11718631	C₂²	1	2	yes	complemented
134	#11718628	C₂²	1	2	yes	complemented
135	#11718627	C₂²	1	2	yes	complemented
136	C₂×#88049	C₂²	1	2	yes	complemented
137	#11718587	C₂²	1	1	yes	characteristic, complemented
138	#11718586	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	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic, complemented
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	—	2	1	no	—
145	C₂²×D₄×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
149	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₂²⋊D₁₃	—	2	1	no	—
152	C₂²×C₂²⋊D₁₃	—	2	1	no	—
153	C₂×#6127	—	2	1	no	—
154	C₂×#6127	—	2	1	no	—
155	C₂×#6127	—	4	4	no	—
156	C₂×#6127	C₂³	1	2	yes	—
157	C₂×#6127	C₂³	1	2	yes	—
158	C₂²×D₅₂	—	2	1	no	—
159	C₂²×D₅₂	—	2	1	no	—
160	C₂²×D₅₂	—	2	1	no	—
161	C₂²×D₅₂	—	4	4	no	—
162	C₂²×D₅₂	C₂³	1	1	yes	characteristic
163	C₂²×D₅₂	C₂³	1	2	yes	—
164	C₂²×D₅₂	C₂³	1	2	yes	—
165	C₂²×D₅₂	C₂³	1	1	yes	characteristic
166	C₂²×C₄×D₁₃	—	2	1	no	—
167	C₂²×C₄×D₁₃	—	2	1	no	—
168	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
170	C₁₃×#127	—	2	1	no	—
171	C₁₃×#127	C₂³	1	1	yes	characteristic, complemented
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	—	2	1	no	—
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
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×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
191	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
193	C₁₃×#121	—	2	1	no	—
194	C₁₃×#121	—	2	1	no	—
195	C₁₃×#121	—	2	1	no	—
196	C₁₃×#121	—	2	1	no	—
197	C₁₃×#121	—	2	1	no	—
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	—	2	1	no	—
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	1	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	C₂³	1	1	yes	characteristic
207	C₁₃×#121	C₂³	1	1	yes	characteristic
208	C₁₃×#121	C₂³	1	1	yes	characteristic
209	C₁₃×#121	C₂³	1	1	yes	characteristic
210	C₁₃×#121	C₂³	1	1	yes	characteristic
211	C₁₃×#121	C₂³	1	1	yes	characteristic
212	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
213	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
214	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
215	C₁₃×#120	—	2	1	no	—
216	C₁₃×#120	—	2	1	no	—
217	C₁₃×#120	—	2	1	no	—
218	C₁₃×#120	—	2	1	no	—
219	C₁₃×#120	—	2	1	no	—
220	C₁₃×#120	—	2	1	no	—
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
222	C₄×D₄×C₁₃	—	2	1	no	—
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
233	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
234	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
235	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
243	C₁₃×#117	—	2	1	no	—
244	C₁₃×#117	—	2	1	no	—
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
247	C₂×C₁₃×C₄⋊C₄	D₄	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×C₂²⋊C₄	—	2	1	no	—
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
255	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
256	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
258	#88204	—	4	4	no	—
259	#88203	—	4	4	no	—
260	C₂×#6107	C₂³	1	2	yes	complemented
261	C₂×#6106	C₂³	1	2	yes	—
262	C₂×#6106	C₂³	1	2	yes	—
263	#88191	—	2	2	no	—
264	#88191	—	2	2	no	—
265	#88191	—	2	2	no	—
266	#88191	—	2	2	no	—
267	C₂×#6105	C₂³	1	2	yes	complemented
268	C₂×#6105	C₂³	1	2	yes	complemented
269	C₂×#6105	C₂³	1	2	yes	complemented
270	#88186	—	4	4	no	—
271	C₂×#6104	—	4	4	no	—
272	C₂×#6104	C₂³	1	2	yes	—
273	C₂×#6104	C₂³	1	2	yes	—
274	C₂×#6104	C₂³	1	2	yes	—
275	C₂×#6104	C₂³	1	2	yes	—
276	C₂×#6104	C₂³	1	2	yes	—
277	C₂×#6104	C₂³	1	2	yes	—
278	#88184	—	2	1	no	—
279	#88184	—	2	1	no	—
280	#88184	C₂³	1	2	yes	—
281	#88184	C₂³	1	2	yes	—
282	C₂×#6103	—	2	1	no	—
283	C₂×#6103	—	2	1	no	—
284	C₂×#6103	—	2	1	no	—
285	C₂×#6103	—	2	1	no	—
286	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	#88178	—	2	1	no	—
288	#88178	—	2	1	no	—
289	#88178	C₂³	1	2	yes	—
290	#88178	C₂³	1	2	yes	—
291	C₂×#6101	—	2	1	no	—
292	C₂×#6099	C₂³	1	2	yes	—
293	C₂×#6099	C₂³	1	2	yes	complemented
294	C₂²×#1055	C₂³	1	2	yes	—
295	C₂²×#1055	C₂³	1	2	yes	complemented
296	#88148	—	2	2	no	—
297	#88148	—	2	2	no	—
298	#88148	—	2	2	no	—
299	#88148	—	2	2	no	—
300	#88138	—	2	2	no	—
301	#88138	—	2	2	no	—
302	#88138	—	2	2	no	—
303	#88138	—	2	2	no	—
304	C₂²⋊C₄×D₁₃	—	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	#88129	—	2	1	no	—
309	#88129	—	2	1	no	—
310	#88129	C₂³	1	2	yes	—
311	#88129	C₂³	1	2	yes	—
312	C₄×D₅₂	—	2	1	no	—
313	C₄×D₅₂	—	2	1	no	—
314	C₄×D₅₂	C₂³	1	2	yes	—
315	C₄×D₅₂	C₂³	1	2	yes	—
316	#88075	C₂³	1	2	yes	complemented
317	#88072	C₂³	1	2	yes	complemented
318	#88072	C₂³	1	2	yes	complemented
319	#88072	C₂³	1	2	yes	complemented
320	C₂²⋊#1055	C₂³	1	2	yes	—
321	C₂²⋊#1055	C₂³	1	2	yes	—
322	C₂²⋊#1055	C₂³	1	1	yes	characteristic
323	C₂²⋊#1055	C₂³	1	1	yes	characteristic
324	C₂²⋊#1055	C₂³	1	1	yes	characteristic
325	C₂²⋊#1055	C₂³	1	1	yes	characteristic
326	C₂²⋊#1055	C₂³	1	2	yes	complemented
327	C₂²⋊#1055	C₂³	1	2	yes	complemented
328	#88050	C₂³	1	2	yes	complemented
329	#88050	C₂³	1	2	yes	complemented
330	#88050	C₂³	1	2	yes	complemented
331	#88050	C₂³	1	2	yes	complemented
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	#88048	C₂³	1	2	yes	complemented
341	#88047	C₂³	1	2	yes	complemented
342	#88047	C₂³	1	2	yes	complemented
343	#88047	C₂³	1	2	yes	complemented
344	C₄⋊#1055	C₂³	1	2	yes	complemented
345	C₄⋊#1055	C₂³	1	2	yes	complemented
346	#88043	C₂³	1	2	yes	complemented
347	C₄×#1055	C₂³	1	2	yes	complemented
348	#61592	—	13	1	no	maximal, Sylow
349	C₂⁴×C₁₃	—	2	1	no	—
350	C₂⁴×C₁₃	—	2	1	no	—
351	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
353	C₂³×D₁₃	—	2	1	no	—
354	C₂³×D₁₃	—	2	1	no	—
355	C₂³×D₁₃	—	2	2	no	—
356	C₂³×D₁₃	—	2	2	no	—
357	C₂³×D₁₃	—	4	4	no	—
358	C₂³×D₁₃	—	4	4	no	—
359	C₂³×D₁₃	—	8	2	no	—
360	C₁₃×#41	—	4	2	no	—
361	C₁₃×#41	—	4	2	no	—
362	C₁₃×#41	—	8	2	no	—
363	C₂×Q₈×C₁₃	—	2	1	no	—
364	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
373	C₂×D₄×C₁₃	—	2	1	no	—
374	C₂×D₄×C₁₃	—	2	1	no	—
375	C₂×D₄×C₁₃	—	2	1	no	—
376	C₂×D₄×C₁₃	—	2	1	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	2	1	no	—
379	C₂×D₄×C₁₃	—	2	1	no	—
380	C₂×D₄×C₁₃	—	4	2	no	—
381	C₂×D₄×C₁₃	—	4	2	no	—
382	C₂×D₄×C₁₃	—	4	2	no	—
383	C₂×D₄×C₁₃	—	4	4	no	—
384	C₂×D₄×C₁₃	—	8	2	no	—
385	C₂×D₄×C₁₃	—	8	2	no	—
386	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	—	2	1	no	—
394	C₂²×C₄×C₁₃	—	2	1	no	—
395	C₂²×C₄×C₁₃	—	2	1	no	—
396	C₂²×C₄×C₁₃	—	2	1	no	—
397	C₂²×C₄×C₁₃	—	2	1	no	—
398	C₂²×C₄×C₁₃	—	2	1	no	—
399	C₂²×C₄×C₁₃	—	2	1	no	—
400	C₂²×C₄×C₁₃	—	4	2	no	—
401	C₂²×C₄×C₁₃	—	4	2	no	—
402	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂×C₂²⋊D₁₃	—	2	2	no	—
416	C₂×C₂²⋊D₁₃	—	2	2	no	—
417	C₂×C₂²⋊D₁₃	—	2	2	no	—
418	C₂×C₂²⋊D₁₃	—	2	2	no	—
419	C₂×C₂²⋊D₁₃	—	4	4	no	—
420	C₂×C₂²⋊D₁₃	—	8	2	no	—
421	C₂²×Dic₁₃	—	2	1	no	—
422	C₂²×Dic₁₃	—	2	1	no	—
423	#6127	—	2	4	no	—
424	#6127	—	2	4	no	—
425	#6127	—	4	2	no	—
426	#6127	—	4	2	no	—
427	#6127	—	4	4	no	—
428	#6127	—	4	4	no	—
429	C₂×D₅₂	—	2	1	no	—
430	C₂×D₅₂	—	2	4	no	—
431	C₂×D₅₂	—	2	4	no	—
432	C₂×D₅₂	—	2	4	no	—
433	C₂×D₅₂	—	2	1	no	—
434	C₂×D₅₂	—	2	2	no	—
435	C₂×D₅₂	—	2	2	no	—
436	C₂×D₅₂	—	4	2	no	—
437	C₂×D₅₂	—	4	2	no	—
438	C₂×D₅₂	—	4	2	no	—
439	C₂×D₅₂	—	4	4	no	—
440	C₂×D₅₂	—	4	4	no	—
441	C₂×D₅₂	—	4	4	no	—
442	C₂×D₅₂	C₂⁴	1	2	yes	—
443	C₂×D₅₂	C₂⁴	1	2	yes	—
444	C₂×C₄×D₁₃	—	2	2	no	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	4	4	no	—
449	C₂×C₄×D₁₃	—	8	2	no	—
450	C₂×Dic₂₆	—	2	1	no	—
451	C₂×Dic₂₆	—	4	2	no	—
452	C₂×Dic₂₆	C₂⁴	1	2	yes	—
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	—	2	1	no	—
460	C₁₃×C₄⋊C₄	—	2	1	no	—
461	C₁₃×C₄⋊C₄	—	2	1	no	—
462	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
463	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
464	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
465	C₁₃×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
487	C₁₃×C₂²⋊C₄	—	2	1	no	—
488	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
495	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
496	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	—	2	1	no	—
498	C₄²×C₁₃	—	2	1	no	—
499	C₄²×C₁₃	—	2	1	no	—
500	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²⋊Dic₁₃	—	2	2	no	—
505	C₂²⋊Dic₁₃	—	2	2	no	—
506	#6107	—	4	2	no	—
507	#6106	—	2	4	no	—
508	#6106	—	4	2	no	—
509	#6105	—	4	2	no	—
510	#6105	—	4	2	no	—
511	#6105	—	4	2	no	—
512	#6104	—	2	4	no	—
513	#6104	—	2	4	no	—
514	#6104	—	2	4	no	—
515	#6104	—	4	2	no	—
516	#6104	—	4	2	no	—
517	#6104	—	4	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	#6103	—	2	2	no	—
524	#6103	—	2	2	no	—
525	#6103	—	2	2	no	—
526	C₄⋊Dic₁₃	—	2	1	no	—
527	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
528	#6101	—	2	2	no	—
529	#6101	—	2	2	no	—
530	#6099	—	4	2	no	—
531	#6099	—	4	2	no	—
532	C₂×#1055	—	4	2	no	—
533	C₂×#1055	—	4	2	no	—
534	C₂×#1055	C₂⁴	1	2	yes	—
535	C₂×#1055	C₂⁴	1	2	yes	—
536	C₂×#1055	C₂⁴	1	2	yes	—
537	C₂×#1055	C₂⁴	1	2	yes	—
538	#3519	D₁₃	1	1	yes	characteristic, complemented
539	C₂×#546	—	13	1	no	—
540	#3322	—	13	2	no	—
541	#3319	—	13	2	no	—
542	#3314	—	13	2	no	—
543	#3297	—	13	2	no	—
544	#3280	—	13	2	no	—
545	#3273	—	13	2	no	—
546	#3268	—	13	2	no	—
547	#3264	—	13	2	no	—
548	#3213	—	13	1	no	—
549	#3211	—	13	1	no	—
550	#3194	—	13	1	no	—
551	#3193	—	13	1	no	—
552	#3190	—	13	1	no	—
553	#3186	—	13	1	no	—
554	#3114	—	13	1	no	—
555	#3100	—	13	1	no	—
556	#3006	—	13	1	no	—
557	#3003	—	13	1	no	—
558	#3002	—	13	1	no	—
559	C₂×#447	—	13	1	no	—
560	#2974	—	13	1	no	—
561	C₂³×C₁₃	—	2	2	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	2	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	4	1	no	—
568	C₂³×C₁₃	—	4	1	no	—
569	C₂³×C₁₃	—	4	1	no	—
570	C₂³×C₁₃	—	4	2	no	—
571	C₂³×C₁₃	—	4	2	no	—
572	C₂³×C₁₃	—	8	1	no	—
573	C₂³×C₁₃	—	8	1	no	—
574	C₂³×C₁₃	—	8	1	no	—
575	C₂³×C₁₃	—	8	1	no	—
576	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
578	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
579	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
580	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
581	C₂²×D₁₃	—	2	4	no	—
582	C₂²×D₁₃	—	2	2	no	—
583	C₂²×D₁₃	—	2	2	no	—
584	C₂²×D₁₃	—	4	4	no	—
585	C₂²×D₁₃	—	4	4	no	—
586	C₂²×D₁₃	—	4	2	no	—
587	C₂²×D₁₃	—	4	2	no	—
588	C₂²×D₁₃	—	4	2	no	—
589	C₂²×D₁₃	—	4	4	no	—
590	C₂²×D₁₃	—	4	2	no	—
591	C₂²×D₁₃	—	4	4	no	—
592	C₂²×D₁₃	—	4	2	no	—
593	C₂²×D₁₃	—	8	2	no	—
594	C₂²×D₁₃	—	8	2	no	—
595	C₂²×D₁₃	—	8	16	no	—
596	Q₈×C₁₃	—	2	2	no	—
597	Q₈×C₁₃	—	8	1	no	—
598	D₄×C₁₃	—	2	2	no	—
599	D₄×C₁₃	—	2	2	no	—
600	D₄×C₁₃	—	2	2	no	—
601	D₄×C₁₃	—	2	2	no	—
602	D₄×C₁₃	—	2	2	no	—
603	D₄×C₁₃	—	4	1	no	—
604	D₄×C₁₃	—	4	1	no	—
605	D₄×C₁₃	—	4	2	no	—
606	D₄×C₁₃	—	4	2	no	—
607	D₄×C₁₃	—	4	2	no	—
608	D₄×C₁₃	—	4	2	no	—
609	D₄×C₁₃	—	4	2	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	8	1	no	—
612	D₄×C₁₃	—	8	1	no	—
613	D₄×C₁₃	—	8	1	no	—
614	D₄×C₁₃	—	8	1	no	—
615	D₄×C₁₃	—	8	1	no	—
616	D₄×C₁₃	—	8	1	no	—
617	D₄×C₁₃	—	8	1	no	—
618	D₄×C₁₃	—	8	1	no	—
619	D₄×C₁₃	—	8	1	no	—
620	C₂×C₄×C₁₃	—	2	2	no	—
621	C₂×C₄×C₁₃	—	2	2	no	—
622	C₂×C₄×C₁₃	—	2	2	no	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	2	no	—
625	C₂×C₄×C₁₃	—	2	2	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	4	1	no	—
632	C₂×C₄×C₁₃	—	4	1	no	—
633	C₂×C₄×C₁₃	—	4	1	no	—
634	C₂×C₄×C₁₃	—	4	1	no	—
635	C₂×C₄×C₁₃	—	4	1	no	—
636	C₂×C₄×C₁₃	—	4	1	no	—
637	C₂×C₄×C₁₃	—	4	1	no	—
638	C₂×C₄×C₁₃	—	4	2	no	—
639	C₂×C₄×C₁₃	—	8	1	no	—
640	C₂×C₄×C₁₃	—	8	1	no	—
641	C₂×C₄×C₁₃	—	8	1	no	—
642	C₂×C₄×C₁₃	—	8	1	no	—
643	C₂×C₄×C₁₃	—	8	1	no	—
644	C₂×C₄×C₁₃	—	8	1	no	—
645	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
646	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
647	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
648	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
649	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
650	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
651	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
652	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
653	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
654	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
655	C₂²⋊D₁₃	—	4	4	no	—
656	C₂²⋊D₁₃	—	4	4	no	—
657	C₂²⋊D₁₃	—	8	2	no	—
658	C₂²⋊D₁₃	—	8	2	no	—
659	C₂×Dic₁₃	—	2	2	no	—
660	C₂×Dic₁₃	—	2	2	no	—
661	C₂×Dic₁₃	—	4	2	no	—
662	C₂×Dic₁₃	—	4	2	no	—
663	D₅₂	—	2	4	no	—
664	D₅₂	—	2	2	no	—
665	D₅₂	—	2	2	no	—
666	D₅₂	—	2	2	no	—
667	D₅₂	—	4	4	no	—
668	D₅₂	—	4	4	no	—
669	D₅₂	—	4	2	no	—
670	D₅₂	H(5,𝔽₂)	1	4	yes	—
671	C₄×D₁₃	—	4	4	no	—
672	C₄×D₁₃	—	4	4	no	—
673	C₄×D₁₃	—	8	2	no	—
674	C₄×D₁₃	—	8	2	no	—
675	Dic₂₆	—	2	2	no	—
676	Dic₂₆	—	2	2	no	—
677	Dic₂₆	—	4	2	no	—
678	#1055	—	2	2	no	—
679	#1055	—	2	2	no	—
680	#1055	—	2	2	no	—
681	#1055	—	2	2	no	—
682	C₂²×#41	—	13	1	no	—
683	C₂³×D₄	—	13	1	no	—
684	C₂×AGL(1,ℤ/8)	—	13	2	no	—
685	C₂×AGL(1,ℤ/8)	—	13	2	no	—
686	C₂×#135	—	13	2	no	—
687	C₂²×D₈	—	13	2	no	—
688	#555	C₂×D₁₃	1	1	yes	characteristic, complemented
689	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
690	#553	—	2	1	no	—
691	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
692	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
693	#550	C₂×D₁₃	1	1	yes	characteristic, complemented
694	#546	—	2	1	no	—
695	#546	—	2	1	no	—
696	#546	—	13	2	no	—
697	#546	—	13	2	no	—
698	#546	—	13	2	no	—
699	#546	—	13	2	no	—
700	#546	—	26	1	no	—
701	#546	—	26	1	no	—
702	#546	—	26	1	no	—
703	#546	—	26	1	no	—
704	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
705	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
706	D₄²	—	2	1	no	—
707	D₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
708	#540	—	2	1	no	—
709	#538	—	2	1	no	—
710	#538	—	2	1	no	—
711	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
712	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
713	C₂×#124	—	13	1	no	—
714	#525	C₂×D₁₃	1	1	yes	characteristic
715	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
716	C₂×#123	—	26	1	no	—
717	C₂×C₂²⋊Q₈	—	13	1	no	—
718	C₂×#121	—	13	1	no	—
719	C₂×#121	—	26	1	no	—
720	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
721	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
722	C₂×#120	—	26	1	no	—
723	#518	—	2	1	no	—
724	C₂×C₄×D₄	—	13	1	no	—
725	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
726	C₂²×C₂²⋊C₄	—	26	1	no	—
727	#496	—	13	2	no	—
728	#495	—	13	2	no	—
729	#489	—	13	2	no	—
730	#488	—	13	2	no	—
731	#485	—	13	2	no	—
732	#484	—	13	2	no	—
733	#483	—	13	1	no	—
734	#482	—	13	2	no	—
735	#480	—	13	1	no	—
736	#480	—	13	1	no	—
737	#480	—	13	1	no	—
738	#480	—	13	2	no	—
739	#478	—	13	2	no	—
740	#474	—	13	2	no	—
741	#469	—	13	2	no	—
742	#468	—	13	2	no	—
743	#468	—	13	2	no	—
744	#468	—	13	2	no	—
745	#467	—	13	2	no	—
746	#466	—	13	2	no	—
747	#466	—	13	2	no	—
748	#465	—	13	2	no	—
749	#464	—	13	2	no	—
750	#463	—	13	2	no	—
751	#463	—	13	2	no	—
752	#463	—	13	2	no	—
753	#463	—	13	2	no	—
754	#459	—	13	2	no	—
755	#452	—	13	2	no	—
756	#452	—	13	2	no	—
757	#451	—	13	1	no	—
758	#450	—	13	2	no	—
759	#450	—	13	1	no	—
760	#450	—	13	1	no	—
761	#450	—	13	2	no	—
762	#449	—	13	2	no	—
763	#449	—	13	2	no	—
764	#449	—	13	2	no	—
765	#449	—	13	2	no	—
766	#448	—	13	1	no	—
767	#448	—	13	1	no	—
768	#448	—	13	1	no	—
769	#447	—	13	2	no	—
770	#447	—	13	1	no	—
771	#447	—	13	1	no	—
772	#447	—	13	1	no	—
773	#447	—	13	1	no	—
774	#447	—	13	1	no	—
775	#447	—	13	1	no	—
776	#447	—	13	2	no	—
777	#447	—	13	2	no	—
778	#447	—	13	2	no	—
779	#442	—	13	2	no	—
780	#440	—	13	2	no	—
781	C₄×D₈	—	13	2	no	—
782	C₄×D₈	—	13	2	no	—
783	#436	—	13	2	no	—
784	#435	—	13	2	no	—
785	#435	—	13	2	no	—
786	C₈×D₄	—	13	2	no	—
787	#432	—	13	1	no	—
788	#431	—	13	1	no	—
789	#418	—	13	2	no	—
790	#417	—	13	2	no	—
791	#416	—	13	2	no	—
792	C₂×#102	—	13	2	no	—
793	#407	—	13	1	no	—
794	#407	—	13	1	no	—
795	C₂×C₂²⋊C₈	—	13	1	no	—
796	C₂×C₂²⋊C₈	—	13	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	—	2	1	no	—
802	C₂²×C₁₃	—	2	1	no	—
803	C₂²×C₁₃	—	2	1	no	—
804	C₂²×C₁₃	—	2	1	no	—
805	C₂²×C₁₃	—	2	1	no	—
806	C₂²×C₁₃	—	2	1	no	—
807	C₂²×C₁₃	—	2	1	no	—
808	C₂²×C₁₃	—	2	1	no	—
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	4	4	no	—
811	C₂²×C₁₃	—	4	1	no	—
812	C₂²×C₁₃	—	4	1	no	—
813	C₂²×C₁₃	—	4	1	no	—
814	C₂²×C₁₃	—	4	1	no	—
815	C₂²×C₁₃	—	4	1	no	—
816	C₂²×C₁₃	—	4	1	no	—
817	C₂²×C₁₃	—	4	1	no	—
818	C₂²×C₁₃	—	4	1	no	—
819	C₂²×C₁₃	—	4	1	no	—
820	C₂²×C₁₃	—	8	2	no	—
821	C₂²×C₁₃	—	16	2	no	—
822	C₂²×C₁₃	—	16	2	no	—
823	C₂²×C₁₃	#575	1	2	yes	—
824	C₂²×C₁₃	#576	1	2	yes	—
825	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
826	C₂×D₁₃	—	2	4	no	—
827	C₂×D₁₃	—	4	8	no	—
828	C₂×D₁₃	—	4	2	no	—
829	C₂×D₁₃	—	4	2	no	—
830	C₂×D₁₃	—	4	2	no	—
831	C₂×D₁₃	—	4	2	no	—
832	C₂×D₁₃	—	4	2	no	—
833	C₂×D₁₃	—	8	8	no	—
834	C₂×D₁₃	—	8	8	no	—
835	C₂×D₁₃	—	8	4	no	—
836	C₄×C₁₃	—	2	1	no	—
837	C₄×C₁₃	—	2	1	no	—
838	C₄×C₁₃	—	2	1	no	—
839	C₄×C₁₃	—	2	1	no	—
840	C₄×C₁₃	—	2	1	no	—
841	C₄×C₁₃	—	2	1	no	—
842	C₄×C₁₃	—	2	1	no	—
843	C₄×C₁₃	—	2	1	no	—
844	C₄×C₁₃	—	2	1	no	—
845	C₄×C₁₃	—	4	1	no	—
846	C₄×C₁₃	—	4	1	no	—
847	C₄×C₁₃	—	4	1	no	—
848	C₄×C₁₃	—	4	1	no	—
849	C₄×C₁₃	—	4	1	no	—
850	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
851	Dic₁₃	—	4	2	no	—
852	Dic₁₃	—	4	2	no	—
853	C₂⁵	—	26	1	no	—
854	C₂×#41	—	2	1	no	—
855	C₂×#41	—	13	2	no	—
856	C₂×#41	—	13	2	no	—
857	C₂×#41	—	26	1	no	—
858	C₂×#41	—	26	1	no	—
859	C₂×#41	—	52	4	no	—
860	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
861	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic, complemented
862	C₂²×Q₈	—	13	1	no	—
863	C₂²×D₄	—	2	1	no	—
864	C₂²×D₄	—	2	1	no	—
865	C₂²×D₄	—	2	1	no	—
866	C₂²×D₄	—	13	1	no	—
867	C₂²×D₄	—	13	2	no	—
868	C₂²×D₄	—	13	2	no	—
869	C₂²×D₄	—	13	1	no	—
870	C₂²×D₄	—	26	1	no	—
871	C₂²×D₄	—	26	1	no	—
872	C₂²×D₄	—	26	1	no	—
873	C₂²×D₄	—	26	1	no	—
874	C₂²×D₄	—	26	1	no	—
875	C₂²×D₄	—	52	4	no	—
876	C₂²×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
877	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
878	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
879	C₂³×C₄	—	26	1	no	—
880	C₂³×C₄	—	26	1	no	—
881	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
882	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
883	AGL(1,ℤ/8)	—	52	4	no	—
884	AGL(1,ℤ/8)	—	52	4	no	—
885	#135	—	52	4	no	—
886	C₂×Q₁₆	—	13	2	no	—
887	C₂×SD₁₆	—	13	2	no	—
888	C₂×SD₁₆	—	13	2	no	—
889	C₂×SD₁₆	—	13	2	no	—
890	C₂×SD₁₆	—	13	2	no	—
891	C₂×SD₁₆	—	13	2	no	—
892	C₂×D₈	—	13	2	no	—
893	C₂×D₈	—	13	2	no	—
894	C₂×D₈	—	13	2	no	—
895	C₂×D₈	—	13	2	no	—
896	C₂×D₈	—	13	2	no	—
897	C₂×D₈	—	13	2	no	—
898	C₂×D₈	—	52	4	no	—
899	C₂×M₁₆	—	13	2	no	—
900	C₂×M₁₆	—	13	2	no	—
901	C₂²×C₈	—	13	2	no	—
902	C₂²×C₈	—	13	2	no	—
903	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
904	#127	—	2	1	no	—
905	#127	C₂²×D₁₃	1	1	yes	characteristic, complemented
906	#126	—	2	1	no	—
907	#126	—	2	1	no	—
908	#126	—	2	1	no	—
909	#125	—	2	1	no	—
910	#125	C₂²×D₁₃	1	1	yes	characteristic, complemented
911	#124	—	2	1	no	—
912	#124	—	2	1	no	—
913	#124	—	2	1	no	—
914	#124	—	13	2	no	—
915	#124	—	13	2	no	—
916	#124	—	26	1	no	—
917	#124	—	26	1	no	—
918	#124	C₂²×D₁₃	1	1	yes	characteristic, complemented
919	#123	—	2	1	no	—
920	#123	—	2	1	no	—
921	#123	—	2	1	no	—
922	#123	—	2	1	no	—
923	#123	—	2	1	no	—
924	#123	—	2	1	no	—
925	#123	—	2	1	no	—
926	#123	—	26	2	no	—
927	#123	—	26	2	no	—
928	#123	—	26	2	no	—
929	#123	—	26	2	no	—
930	C₂²⋊Q₈	—	2	1	no	—
931	C₂²⋊Q₈	—	2	1	no	—
932	C₂²⋊Q₈	—	13	2	no	—
933	C₂²⋊Q₈	—	13	2	no	—
934	C₂²⋊Q₈	—	26	1	no	—
935	C₂²⋊Q₈	—	26	1	no	—
936	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
937	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
938	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
939	#121	—	2	1	no	—
940	#121	—	2	1	no	—
941	#121	—	2	1	no	—
942	#121	—	2	1	no	—
943	#121	—	2	1	no	—
944	#121	—	2	1	no	—
945	#121	—	2	1	no	—
946	#121	—	2	1	no	—
947	#121	—	2	1	no	—
948	#121	—	2	1	no	—
949	#121	—	2	1	no	—
950	#121	—	2	1	no	—
951	#121	—	2	1	no	—
952	#121	—	13	2	no	—
953	#121	—	13	2	no	—
954	#121	—	26	1	no	—
955	#121	—	26	1	no	—
956	#121	—	26	2	no	—
957	#121	—	26	2	no	—
958	#121	—	26	2	no	—
959	#121	—	26	2	no	—
960	#121	C₂²×D₁₃	1	1	yes	characteristic
961	#121	C₂²×D₁₃	1	1	yes	characteristic
962	#121	C₂²×D₁₃	1	1	yes	characteristic
963	#121	C₂²×D₁₃	1	1	yes	characteristic
964	#121	C₂²×D₁₃	1	1	yes	characteristic
965	#121	C₂²×D₁₃	1	1	yes	characteristic
966	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
967	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
968	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
969	#120	—	2	1	no	—
970	#120	—	2	1	no	—
971	#120	—	2	1	no	—
972	#120	—	2	1	no	—
973	#120	—	2	1	no	—
974	#120	—	2	1	no	—
975	#120	—	26	2	no	—
976	#120	—	26	2	no	—
977	#120	—	26	2	no	—
978	#120	—	26	2	no	—
979	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
980	C₄×D₄	—	2	1	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	—	2	1	no	—
983	C₄×D₄	—	2	1	no	—
984	C₄×D₄	—	2	1	no	—
985	C₄×D₄	—	2	1	no	—
986	C₄×D₄	—	2	1	no	—
987	C₄×D₄	—	2	1	no	—
988	C₄×D₄	—	2	1	no	—
989	C₄×D₄	—	2	1	no	—
990	C₄×D₄	—	13	2	no	—
991	C₄×D₄	—	13	2	no	—
992	C₄×D₄	—	26	1	no	—
993	C₄×D₄	—	26	1	no	—
994	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
995	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
996	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
997	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
998	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
999	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1000	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1001	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1003	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1004	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1005	#117	—	2	1	no	—
1006	#117	—	2	1	no	—
1007	#117	C₂²×D₁₃	1	1	yes	characteristic
1008	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
1009	C₂×C₄⋊C₄	—	13	1	no	—
1010	C₂×C₄⋊C₄	—	26	1	no	—
1011	C₂×C₄⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1014	C₂×C₂²⋊C₄	—	2	1	no	—
1015	C₂×C₂²⋊C₄	—	2	1	no	—
1016	C₂×C₂²⋊C₄	—	2	1	no	—
1017	C₂×C₂²⋊C₄	—	2	1	no	—
1018	C₂×C₂²⋊C₄	—	26	1	no	—
1019	C₂×C₂²⋊C₄	—	26	1	no	—
1020	C₂×C₂²⋊C₄	—	26	1	no	—
1021	C₂×C₂²⋊C₄	—	26	1	no	—
1022	C₂×C₂²⋊C₄	—	26	1	no	—
1023	C₂×C₂²⋊C₄	—	26	2	no	—
1024	C₂×C₂²⋊C₄	—	26	2	no	—
1025	C₂×C₂²⋊C₄	—	26	2	no	—
1026	C₂×C₂²⋊C₄	—	26	2	no	—
1027	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1029	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1030	#107	—	13	2	no	—
1031	#107	—	13	2	no	—
1032	#107	—	13	2	no	—
1033	#106	—	13	2	no	—
1034	C₄⋊C₈	—	13	2	no	—
1035	C₄⋊C₈	—	13	2	no	—
1036	#103	—	13	2	no	—
1037	#103	—	13	2	no	—
1038	#103	—	13	2	no	—
1039	#103	—	13	2	no	—
1040	#103	—	13	2	no	—
1041	#102	—	13	2	no	—
1042	#102	—	13	2	no	—
1043	#102	—	13	2	no	—
1044	#102	—	13	2	no	—
1045	#102	—	13	2	no	—
1046	#102	—	13	2	no	—
1047	#102	—	13	2	no	—
1048	#102	—	13	2	no	—
1049	#102	—	13	2	no	—
1050	#102	—	13	2	no	—
1051	#102	—	13	2	no	—
1052	C₂²⋊C₈	—	13	1	no	—
1053	C₂²⋊C₈	—	13	1	no	—
1054	C₂²⋊C₈	—	13	1	no	—
1055	C₂²⋊C₈	—	13	2	no	—
1056	C₂²⋊C₈	—	13	1	no	—
1057	C₂²⋊C₈	—	13	2	no	—
1058	C₂²⋊C₈	—	13	2	no	—
1059	C₂²⋊C₈	—	13	2	no	—
1060	#97	—	13	2	no	—
1061	C₄×C₈	—	13	2	no	—
1062	C₂×C₁₃	—	2	2	no	—
1063	C₂×C₁₃	—	2	2	no	—
1064	C₂×C₁₃	—	4	1	no	—
1065	C₂×C₁₃	—	4	1	no	—
1066	C₂×C₁₃	—	4	1	no	—
1067	C₂×C₁₃	—	8	1	no	—
1068	C₂×C₁₃	—	8	1	no	—
1069	C₂×C₁₃	—	8	1	no	—
1070	C₂×C₁₃	#3484	1	1	yes	characteristic
1071	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1072	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1073	D₁₃	—	4	4	no	—
1074	D₁₃	—	8	2	no	—
1075	C₂⁴	—	2	1	no	—
1076	C₂⁴	—	2	1	no	—
1077	C₂⁴	—	26	1	no	—
1078	C₂⁴	—	26	1	no	—
1079	C₂⁴	—	26	2	no	—
1080	C₂⁴	—	26	2	no	—
1081	C₂⁴	—	52	4	no	—
1082	C₂⁴	—	52	4	no	—
1083	C₂⁴	—	104	2	no	—
1084	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1085	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1086	#41	—	4	2	no	—
1087	#41	—	4	2	no	—
1088	#41	—	8	2	no	—
1089	#41	—	26	4	no	—
1090	#41	—	26	4	no	—
1091	#41	—	52	2	no	—
1092	#41	—	52	2	no	—
1093	#41	—	52	4	no	—
1094	#41	—	52	4	no	—
1095	C₂×Q₈	—	2	1	no	—
1096	C₂×Q₈	—	13	2	no	—
1097	C₂×Q₈	—	26	1	no	—
1098	C₂×Q₈	—	52	2	no	—
1099	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	2	1	no	—
1103	C₂×D₄	—	2	1	no	—
1104	C₂×D₄	—	2	1	no	—
1105	C₂×D₄	—	2	1	no	—
1106	C₂×D₄	—	2	1	no	—
1107	C₂×D₄	—	2	1	no	—
1108	C₂×D₄	—	2	1	no	—
1109	C₂×D₄	—	2	1	no	—
1110	C₂×D₄	—	2	1	no	—
1111	C₂×D₄	—	2	1	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	4	2	no	—
1116	C₂×D₄	—	4	2	no	—
1117	C₂×D₄	—	4	2	no	—
1118	C₂×D₄	—	4	4	no	—
1119	C₂×D₄	—	8	2	no	—
1120	C₂×D₄	—	8	2	no	—
1121	C₂×D₄	—	13	2	no	—
1122	C₂×D₄	—	13	2	no	—
1123	C₂×D₄	—	26	4	no	—
1124	C₂×D₄	—	26	4	no	—
1125	C₂×D₄	—	26	4	no	—
1126	C₂×D₄	—	26	2	no	—
1127	C₂×D₄	—	26	2	no	—
1128	C₂×D₄	—	26	2	no	—
1129	C₂×D₄	—	26	2	no	—
1130	C₂×D₄	—	26	1	no	—
1131	C₂×D₄	—	26	2	no	—
1132	C₂×D₄	—	26	2	no	—
1133	C₂×D₄	—	26	1	no	—
1134	C₂×D₄	—	52	2	no	—
1135	C₂×D₄	—	52	2	no	—
1136	C₂×D₄	—	52	2	no	—
1137	C₂×D₄	—	52	4	no	—
1138	C₂×D₄	—	52	4	no	—
1139	C₂×D₄	—	52	4	no	—
1140	C₂×D₄	—	52	4	no	—
1141	C₂×D₄	—	104	2	no	—
1142	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1143	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1144	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1145	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1146	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1147	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1148	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1149	C₂²×C₄	—	2	1	no	—
1150	C₂²×C₄	—	2	1	no	—
1151	C₂²×C₄	—	2	1	no	—
1152	C₂²×C₄	—	2	1	no	—
1153	C₂²×C₄	—	2	1	no	—
1154	C₂²×C₄	—	2	1	no	—
1155	C₂²×C₄	—	2	1	no	—
1156	C₂²×C₄	—	4	2	no	—
1157	C₂²×C₄	—	4	2	no	—
1158	C₂²×C₄	—	26	1	no	—
1159	C₂²×C₄	—	26	1	no	—
1160	C₂²×C₄	—	26	2	no	—
1161	C₂²×C₄	—	26	2	no	—
1162	C₂²×C₄	—	26	2	no	—
1163	C₂²×C₄	—	26	2	no	—
1164	C₂²×C₄	—	52	4	no	—
1165	C₂²×C₄	—	104	2	no	—
1166	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1179	Q₁₆	—	52	2	no	—
1180	SD₁₆	—	26	4	no	—
1181	SD₁₆	—	52	2	no	—
1182	SD₁₆	—	52	2	no	—
1183	SD₁₆	—	52	2	no	—
1184	SD₁₆	—	52	2	no	—
1185	D₈	—	26	4	no	—
1186	D₈	—	26	4	no	—
1187	D₈	—	26	4	no	—
1188	D₈	—	52	2	no	—
1189	D₈	—	52	2	no	—
1190	D₈	—	52	2	no	—
1191	M₁₆	—	52	2	no	—
1192	M₁₆	—	52	2	no	—
1193	C₂×C₈	—	13	2	no	—
1194	C₂×C₈	—	13	2	no	—
1195	C₂×C₈	—	13	2	no	—
1196	C₂×C₈	—	13	2	no	—
1197	C₂×C₈	—	52	2	no	—
1198	C₂×C₈	—	52	2	no	—
1199	C₄⋊C₄	—	2	1	no	—
1200	C₄⋊C₄	—	2	1	no	—
1201	C₄⋊C₄	—	2	1	no	—
1202	C₄⋊C₄	—	2	1	no	—
1203	C₄⋊C₄	—	2	1	no	—
1204	C₄⋊C₄	—	2	1	no	—
1205	C₄⋊C₄	—	2	1	no	—
1206	C₄⋊C₄	—	2	1	no	—
1207	C₄⋊C₄	—	2	1	no	—
1208	C₄⋊C₄	—	13	2	no	—
1209	C₄⋊C₄	—	26	1	no	—
1210	C₄⋊C₄	—	26	2	no	—
1211	C₄⋊C₄	—	26	2	no	—
1212	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1213	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1214	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1215	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1216	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1217	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1218	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1219	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1220	C₂²⋊C₄	—	2	1	no	—
1221	C₂²⋊C₄	—	2	1	no	—
1222	C₂²⋊C₄	—	2	1	no	—
1223	C₂²⋊C₄	—	2	1	no	—
1224	C₂²⋊C₄	—	2	1	no	—
1225	C₂²⋊C₄	—	2	1	no	—
1226	C₂²⋊C₄	—	2	1	no	—
1227	C₂²⋊C₄	—	2	1	no	—
1228	C₂²⋊C₄	—	2	1	no	—
1229	C₂²⋊C₄	—	2	1	no	—
1230	C₂²⋊C₄	—	2	1	no	—
1231	C₂²⋊C₄	—	2	1	no	—
1232	C₂²⋊C₄	—	2	1	no	—
1233	C₂²⋊C₄	—	2	1	no	—
1234	C₂²⋊C₄	—	2	1	no	—
1235	C₂²⋊C₄	—	2	1	no	—
1236	C₂²⋊C₄	—	2	1	no	—
1237	C₂²⋊C₄	—	2	1	no	—
1238	C₂²⋊C₄	—	2	1	no	—
1239	C₂²⋊C₄	—	26	2	no	—
1240	C₂²⋊C₄	—	26	2	no	—
1241	C₂²⋊C₄	—	26	2	no	—
1242	C₂²⋊C₄	—	26	2	no	—
1243	C₂²⋊C₄	—	26	2	no	—
1244	C₂²⋊C₄	—	26	2	no	—
1245	C₂²⋊C₄	—	26	2	no	—
1246	C₂²⋊C₄	—	26	2	no	—
1247	C₂²⋊C₄	—	26	2	no	—
1248	C₂²⋊C₄	—	26	2	no	—
1249	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1250	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1251	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1252	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1253	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1254	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1255	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1256	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1257	C₄²	—	2	1	no	—
1258	C₄²	—	2	1	no	—
1259	C₄²	—	2	1	no	—
1260	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1261	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1262	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1263	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1264	C₁₃	#61592	1	1	yes	characteristic, complemented, Sylow
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	2	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	4	1	no	—
1272	C₂³	—	4	1	no	—
1273	C₂³	—	4	1	no	—
1274	C₂³	—	4	2	no	—
1275	C₂³	—	4	2	no	—
1276	C₂³	—	8	1	no	—
1277	C₂³	—	8	1	no	—
1278	C₂³	—	8	1	no	—
1279	C₂³	—	8	1	no	—
1280	C₂³	—	26	4	no	—
1281	C₂³	—	26	2	no	—
1282	C₂³	—	26	2	no	—
1283	C₂³	—	52	4	no	—
1284	C₂³	—	52	4	no	—
1285	C₂³	—	52	2	no	—
1286	C₂³	—	52	2	no	—
1287	C₂³	—	52	2	no	—
1288	C₂³	—	52	4	no	—
1289	C₂³	—	52	2	no	—
1290	C₂³	—	52	4	no	—
1291	C₂³	—	52	2	no	—
1292	C₂³	—	104	2	no	—
1293	C₂³	—	104	2	no	—
1294	C₂³	—	104	16	no	—
1295	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1296	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1297	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1298	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1299	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1300	Q₈	—	2	2	no	—
1301	Q₈	—	8	1	no	—
1302	Q₈	—	26	2	no	—
1303	Q₈	—	26	2	no	—
1304	Q₈	—	52	2	no	—
1305	D₄	—	2	2	no	—
1306	D₄	—	2	2	no	—
1307	D₄	—	2	2	no	—
1308	D₄	—	2	2	no	—
1309	D₄	—	2	2	no	—
1310	D₄	—	4	1	no	—
1311	D₄	—	4	1	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	4	2	no	—
1314	D₄	—	4	2	no	—
1315	D₄	—	4	2	no	—
1316	D₄	—	4	2	no	—
1317	D₄	—	4	2	no	—
1318	D₄	—	8	1	no	—
1319	D₄	—	8	1	no	—
1320	D₄	—	8	1	no	—
1321	D₄	—	8	1	no	—
1322	D₄	—	8	1	no	—
1323	D₄	—	8	1	no	—
1324	D₄	—	8	1	no	—
1325	D₄	—	8	1	no	—
1326	D₄	—	8	1	no	—
1327	D₄	—	13	4	no	—
1328	D₄	—	26	4	no	—
1329	D₄	—	26	2	no	—
1330	D₄	—	26	2	no	—
1331	D₄	—	26	2	no	—
1332	D₄	—	52	4	no	—
1333	D₄	—	52	4	no	—
1334	D₄	—	52	2	no	—
1335	D₄	—	52	4	no	—
1336	D₄	—	52	4	no	—
1337	D₄	—	104	2	no	—
1338	D₄	—	104	2	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	4	1	no	—
1351	C₂×C₄	—	4	1	no	—
1352	C₂×C₄	—	4	1	no	—
1353	C₂×C₄	—	4	1	no	—
1354	C₂×C₄	—	4	1	no	—
1355	C₂×C₄	—	4	1	no	—
1356	C₂×C₄	—	4	1	no	—
1357	C₂×C₄	—	4	2	no	—
1358	C₂×C₄	—	8	1	no	—
1359	C₂×C₄	—	8	1	no	—
1360	C₂×C₄	—	8	1	no	—
1361	C₂×C₄	—	8	1	no	—
1362	C₂×C₄	—	8	1	no	—
1363	C₂×C₄	—	8	1	no	—
1364	C₂×C₄	—	26	2	no	—
1365	C₂×C₄	—	26	2	no	—
1366	C₂×C₄	—	52	4	no	—
1367	C₂×C₄	—	52	4	no	—
1368	C₂×C₄	—	52	2	no	—
1369	C₂×C₄	—	52	2	no	—
1370	C₂×C₄	—	104	2	no	—
1371	C₂×C₄	—	104	2	no	—
1372	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1373	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1374	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1375	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1376	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1377	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1378	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1379	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1380	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1381	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1382	C₈	—	26	2	no	—
1383	C₈	—	26	2	no	—
1384	C₈	—	26	2	no	—
1385	C₈	—	26	2	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	1	no	—
1388	C₂²	—	2	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	1	no	—
1398	C₂²	—	2	1	no	—
1399	C₂²	—	4	4	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	8	2	no	—
1410	C₂²	—	16	2	no	—
1411	C₂²	—	16	2	no	—
1412	C₂²	—	26	4	no	—
1413	C₂²	—	52	8	no	—
1414	C₂²	—	52	2	no	—
1415	C₂²	—	52	2	no	—
1416	C₂²	—	52	2	no	—
1417	C₂²	—	52	2	no	—
1418	C₂²	—	52	2	no	—
1419	C₂²	—	104	8	no	—
1420	C₂²	—	104	4	no	—
1421	C₂²	—	104	8	no	—
1422	C₂²	#11719527	1	2	yes	—
1423	C₂²	#11719540	1	2	yes	—
1424	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1425	C₄	—	2	1	no	—
1426	C₄	—	2	1	no	—
1427	C₄	—	2	1	no	—
1428	C₄	—	2	1	no	—
1429	C₄	—	2	1	no	—
1430	C₄	—	2	1	no	—
1431	C₄	—	2	1	no	—
1432	C₄	—	2	1	no	—
1433	C₄	—	2	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	4	1	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	52	2	no	—
1440	C₄	—	52	2	no	—
1441	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	—
1442	C₂	—	2	2	no	—
1443	C₂	—	2	2	no	—
1444	C₂	—	4	1	no	—
1445	C₂	—	4	1	no	—
1446	C₂	—	4	1	no	—
1447	C₂	—	8	1	no	—
1448	C₂	—	8	1	no	—
1449	C₂	—	8	1	no	—
1450	C₂	—	52	4	no	—
1451	C₂	—	104	2	no	—
1452	C₂	#13128467	1	1	yes	characteristic
1453	C₂	C₂×#11719527	1	1	yes	characteristic
1454	C₂	C₂×#11719540	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×#3519	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3519	D₁₃
hypocenter	C₁₃	#61592
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3519

Complements

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

N	H ≅ G/N	type
1. C₂×#11719255	C₂	semidirect
2. #13127031	C₂	semidirect
3. #13126986	C₂	semidirect
4. #13126911	C₂	semidirect
5. #13126680	C₂	semidirect
6. #13126517	C₂	semidirect
7. #13126443	C₂	semidirect
8. #13126377	C₂	semidirect
9. #13126312	C₂	semidirect
10. #13125819	C₂	semidirect
11. #13125797	C₂	semidirect
12. #13125646	C₂	semidirect
13. #13125642	C₂	semidirect
14. #13125613	C₂	semidirect
15. #13125584	C₂	semidirect
16. #13124970	C₂	semidirect
17. #13124832	C₂	semidirect
18. #13124086	C₂	semidirect
19. #13124062	C₂	semidirect
20. #13124052	C₂	semidirect
21. C₂×#11718697	C₂	semidirect
22. #13123871	C₂	semidirect
23. C₁₃×#3519	C₂	semidirect
24. C₂²×#6127	C₂²	semidirect
25. C₂³×D₅₂	C₂²	semidirect
26. C₁₃×#555	C₂²	semidirect
27. C₁₃×#554	C₂²	semidirect
29. C₁₃×#553	C₂²	semidirect
30. C₁₃×#553	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
34. C₁₃×#546	C₂²	semidirect
35. C₁₃×#546	C₂²	semidirect
37. D₄²×C₁₃	C₂²	semidirect
41. C₁₃×#532	C₂²	semidirect
42. C₁₃×#529	C₂²	semidirect
44. C₁₃×#525	C₂²	semidirect
46. C₂×C₁₃×#121	C₂²	semidirect
49. C₂×#88204	C₂²	semidirect
50. C₂×#88203	C₂²	semidirect
52. C₂×#88186	C₂²	semidirect
53. C₂²×#6104	C₂²	semidirect
54. C₂×#88184	C₂²	semidirect
55. C₂×#88178	C₂²	semidirect
61. #11719255	C₂²	semidirect
62. #11719255	C₂²	semidirect
63. #11719255	C₂²	semidirect
67. C₂×#88129	C₂²	semidirect
68. C₂×C₄×D₅₂	C₂²	semidirect
69. #11718900	C₂²	semidirect
70. #11718899	C₂²	semidirect
71. #11718879	C₂²	semidirect
72. #11718878	C₂²	semidirect
73. #11718868	C₂²	semidirect
74. #11718868	C₂²	semidirect
75. C₂×C₂²⋊#1055	C₂²	semidirect
76. C₂×C₂²⋊#1055	C₂²	semidirect
77. #11718750	C₂²	semidirect
78. #11718748	C₂²	semidirect
79. #11718735	C₂²	semidirect
80. #11718733	C₂²	semidirect
81. #11718729	C₂²	semidirect
82. #11718727	C₂²	semidirect
83. #11718720	C₂²	semidirect
84. #11718718	C₂²	semidirect
85. #11718712	C₂²	semidirect
86. #11718711	C₂²	semidirect
87. #11718710	C₂²	semidirect
88. #11718708	C₂²	semidirect
89. #11718707	C₂²	semidirect
90. #11718707	C₂²	semidirect
91. #11718707	C₂²	semidirect
92. #11718704	C₂²	semidirect
93. #11718703	C₂²	semidirect
94. #11718703	C₂²	semidirect
95. #11718702	C₂²	semidirect
96. #11718701	C₂²	semidirect
97. #11718701	C₂²	semidirect
98. #11718701	C₂²	semidirect
99. #11718700	C₂²	semidirect
100. #11718699	C₂²	semidirect
101. #11718699	C₂²	semidirect
102. #11718698	C₂²	semidirect
103. #11718698	C₂²	semidirect
104. #11718698	C₂²	semidirect
107. #11718697	C₂²	semidirect
108. #11718697	C₂²	semidirect
109. #11718697	C₂²	semidirect
110. #11718697	C₂²	semidirect
111. #11718697	C₂²	semidirect
112. #11718697	C₂²	semidirect
113. #11718697	C₂²	semidirect
114. #11718694	C₂²	semidirect
115. #11718694	C₂²	semidirect
116. #11718694	C₂²	semidirect
117. #11718689	C₂²	semidirect
118. #11718687	C₂²	semidirect
119. #11718677	C₂²	semidirect
120. #11718677	C₂²	semidirect
121. #11718677	C₂²	semidirect
122. #11718675	C₂²	semidirect
123. C₄×#6104	C₂²	semidirect
124. C₄×#6104	C₂²	semidirect
125. #11718673	C₂²	semidirect
126. #11718672	C₂²	semidirect
127. #11718672	C₂²	semidirect
128. D₄×#1055	C₂²	semidirect
129. #11718664	C₂²	semidirect
130. #11718663	C₂²	semidirect
131. #11718662	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. #11718631	C₂²	semidirect
134. #11718628	C₂²	semidirect
135. #11718627	C₂²	semidirect
136. C₂×#88049	C₂²	semidirect
137. #11718587	C₂²	semidirect
138. #11718586	C₂²	semidirect
142. C₂×C₁₃×#41	C₂³	semidirect
148. C₂²×D₄×C₁₃	C₂³	semidirect
169. C₁₃×C₄⋊Q₈	C₂³	semidirect
171. C₁₃×#127	C₂³	semidirect
176. C₁₃×#125	C₂³	semidirect
180. C₁₃×#124	C₂³	semidirect
192. C₁₃×C₂²⋊Q₈	C₂³	semidirect
212. C₁₃×#121	C₂³	semidirect
213. C₁₃×#121	C₂³	semidirect
214. C₁₃×#121	C₂³	semidirect
221. C₄×Q₈×C₁₃	C₂³	semidirect
240. C₄×D₄×C₁₃	C₂³	semidirect
241. C₄×D₄×C₁₃	C₂³	semidirect
242. C₄×D₄×C₁₃	C₂³	semidirect
246. C₁₃×#117	C₂³	semidirect
249. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
260. C₂×#6107	C₂³	semidirect
267. C₂×#6105	C₂³	semidirect
268. C₂×#6105	C₂³	semidirect
269. C₂×#6105	C₂³	semidirect
293. C₂×#6099	C₂³	semidirect
295. C₂²×#1055	C₂³	semidirect
316. #88075	C₂³	semidirect
317. #88072	C₂³	semidirect
318. #88072	C₂³	semidirect
319. #88072	C₂³	semidirect
326. C₂²⋊#1055	C₂³	semidirect
327. C₂²⋊#1055	C₂³	semidirect
328. #88050	C₂³	semidirect
329. #88050	C₂³	semidirect
330. #88050	C₂³	semidirect
331. #88050	C₂³	semidirect
340. #88048	C₂³	semidirect
341. #88047	C₂³	semidirect
342. #88047	C₂³	semidirect
343. #88047	C₂³	semidirect
344. C₄⋊#1055	C₂³	semidirect
345. C₄⋊#1055	C₂³	semidirect
346. #88043	C₂³	semidirect
347. C₄×#1055	C₂³	semidirect
538. #3519	D₁₃	semidirect
688. #555	C₂×D₁₃	semidirect
689. #554	C₂×D₁₃	semidirect
691. #553	C₂×D₁₃	semidirect
692. #553	C₂×D₁₃	semidirect
693. #550	C₂×D₁₃	semidirect
704. #546	C₂×D₁₃	semidirect
705. #546	C₂×D₁₃	semidirect
707. D₄²	C₂×D₁₃	semidirect
711. #532	C₂×D₁₃	semidirect
712. #529	C₂×D₁₃	semidirect
715. #525	C₂×D₁₃	semidirect
721. C₂×#121	C₂×D₁₃	semidirect
861. C₂×#41	C₂²×D₁₃	semidirect
878. C₂²×D₄	C₂²×D₁₃	semidirect
903. C₄⋊Q₈	C₂²×D₁₃	semidirect
905. #127	C₂²×D₁₃	semidirect
910. #125	C₂²×D₁₃	semidirect
918. #124	C₂²×D₁₃	semidirect
938. C₂²⋊Q₈	C₂²×D₁₃	semidirect
966. #121	C₂²×D₁₃	semidirect
967. #121	C₂²×D₁₃	semidirect
968. #121	C₂²×D₁₃	semidirect
979. C₄×Q₈	C₂²×D₁₃	semidirect
1002. C₄×D₄	C₂²×D₁₃	semidirect
1003. C₄×D₄	C₂²×D₁₃	semidirect
1004. C₄×D₄	C₂²×D₁₃	semidirect
1008. #117	C₂²×D₁₃	semidirect
1013. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1264. C₁₃	#61592	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
#13127031	2
#13126986	2
#13126911	2
#13126680	2
#13126517	2
#13126443	2
#13126377	2
#13126312	2
#13125819	2
#13125797	2
#13125646	2
#13125642	2
#13125613	2
#13125584	2
#13124970	2
#13124832	2
#13124086	2
#13124062	2
#13124052	2
C₂×#11718697	2
#13123871	2
C₁₃×#3519	2
#61592	13