Subgroups — #16771452

Order 3328.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719648	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×#6127	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128512	C₂	1	4	yes	maximal, complemented
4	#13128508	C₂	1	4	yes	maximal, complemented
5	#13128501	C₂	1	4	yes	maximal, complemented
6	#13128497	C₂	1	4	yes	maximal, complemented
7	#13128490	C₂	1	2	yes	maximal, complemented
8	#13128483	C₂	1	2	yes	maximal, complemented
9	#13128478	C₂	1	2	yes	maximal, complemented
10	#13128474	C₂	1	4	yes	maximal, complemented
11	#13128469	C₂	1	2	yes	maximal, complemented
12	#13128465	C₂	1	4	yes	maximal, complemented
13	D₄×#6127	C₂	1	8	yes	maximal, complemented
14	#13128319	C₂	1	8	yes	maximal, complemented
15	#13128169	C₂	1	1	yes	maximal, characteristic, complemented
16	#13128166	C₂	1	4	yes	maximal, complemented
17	#13128165	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719496	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#525	C₂	1	4	yes	maximal, complemented
20	#13128037	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
23	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
24	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
25	#11719648	—	2	16	no	—
26	C₂×#88257	C₂²	1	2	yes	complemented
27	C₂×#88257	C₂²	1	2	yes	complemented
28	C₂×#88256	C₂²	1	2	yes	complemented
29	C₂×#88256	C₂²	1	2	yes	complemented
30	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
31	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
32	C₂×#88254	C₂²	1	2	yes	complemented
33	C₂×#88251	C₂²	1	2	yes	complemented
34	C₂×#88251	C₂²	1	4	yes	complemented
35	C₂²×#6127	—	2	16	no	—
36	C₂²×#6127	C₂²	1	1	yes	characteristic
37	C₂²×#6127	C₂²	1	2	yes	complemented
38	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#6127	C₂²	1	4	yes	complemented
41	C₂²×#6127	C₂²	1	4	yes	complemented
42	C₂²×#6127	C₂²	1	4	yes	complemented
43	C₂²×#6127	C₂²	1	4	yes	complemented
44	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6127	C₂²	1	2	yes	complemented
46	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#6127	C₂²	1	4	yes	complemented
48	C₂³×D₅₂	C₂²	1	1	yes	characteristic, complemented
49	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
50	C₂³×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#525	C₂²	1	2	yes	complemented
52	C₁₃×#525	C₂²	1	2	yes	complemented
53	C₁₃×#525	C₂²	1	2	yes	complemented
54	C₁₃×#525	C₂²	1	2	yes	complemented
55	C₁₃×#525	C₂²	1	4	yes	complemented
56	C₁₃×#525	C₂²	1	4	yes	complemented
57	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
58	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
59	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
60	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
61	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
62	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88207	C₂²	1	2	yes	complemented
64	#11719538	C₂²	1	4	yes	complemented
65	#11719537	C₂²	1	4	yes	complemented
66	#11719535	C₂²	1	2	yes	complemented
67	#11719533	C₂²	1	4	yes	complemented
68	#11719530	C₂²	1	2	yes	complemented
69	#11719521	C₂²	1	2	yes	complemented
70	#11719510	C₂²	1	2	yes	complemented
71	#11719509	C₂²	1	4	yes	complemented
72	D₄×C₂²⋊D₁₃	C₂²	1	16	yes	complemented
73	#11719496	C₂²	1	2	yes	complemented
74	#11719496	C₂²	1	2	yes	complemented
75	#11719496	C₂²	1	4	yes	complemented
76	#11719496	C₂²	1	4	yes	complemented
77	#11719496	C₂²	1	2	yes	complemented
78	#11719496	C₂²	1	2	yes	complemented
79	#11719496	C₂²	1	4	yes	complemented
80	C₂×#88184	C₂²	1	2	yes	complemented
81	C₂×#88183	C₂²	1	2	yes	complemented
82	C₂×C₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
83	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
84	C₂×#88178	C₂²	1	2	yes	complemented
85	#11719361	C₂²	1	8	yes	complemented
86	#11719360	C₂²	1	16	yes	complemented
87	#11719359	C₂²	1	16	yes	complemented
88	#11719358	C₂²	1	8	yes	complemented
89	D₁₃×#123	C₂²	1	8	yes	complemented
90	#11719353	C₂²	1	8	yes	complemented
91	#11719338	C₂²	1	8	yes	complemented
92	#11719337	C₂²	1	8	yes	complemented
93	#11719336	C₂²	1	8	yes	complemented
94	#11719335	C₂²	1	8	yes	complemented
95	#11719334	C₂²	1	8	yes	complemented
96	#11719333	C₂²	1	8	yes	complemented
97	#11719332	C₂²	1	8	yes	complemented
98	D₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
99	#11719317	C₂²	1	8	yes	complemented
100	#11719314	C₂²	1	8	yes	complemented
101	#11719313	C₂²	1	8	yes	complemented
102	#11719312	C₂²	1	8	yes	complemented
103	#11719311	C₂²	1	8	yes	complemented
104	D₁₃×#121	C₂²	1	8	yes	complemented
105	#11719304	C₂²	1	8	yes	complemented
106	#11719303	C₂²	1	8	yes	complemented
107	#11719297	C₂²	1	8	yes	complemented
108	#11719296	C₂²	1	16	yes	complemented
109	#11719295	C₂²	1	16	yes	complemented
110	#11719294	C₂²	1	8	yes	complemented
111	D₁₃×#120	C₂²	1	8	yes	complemented
112	#11719291	C₂²	1	8	yes	complemented
113	#11719258	C₂²	1	8	yes	complemented
114	#11719257	C₂²	1	8	yes	complemented
115	#11719257	C₂²	1	8	yes	complemented
116	#11719256	C₂²	1	8	yes	complemented
117	#11719255	C₂²	1	8	yes	complemented
118	#11719255	C₂²	1	8	yes	complemented
119	D₄×D₅₂	C₂²	1	8	yes	complemented
120	#11719253	C₂²	1	16	yes	complemented
121	#11719252	C₂²	1	16	yes	complemented
122	#11719252	C₂²	1	16	yes	complemented
123	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
124	D₄×Dic₂₆	C₂²	1	8	yes	complemented
125	#11719231	C₂²	1	2	yes	complemented
126	#11719231	C₂²	1	2	yes	complemented
127	#11719230	C₂²	1	2	yes	complemented
128	#11719230	C₂²	1	2	yes	complemented
129	#11719229	C₂²	1	4	yes	complemented
130	#11719229	C₂²	1	4	yes	complemented
131	#11719228	C₂²	1	4	yes	complemented
132	#11719227	C₂²	1	4	yes	complemented
133	#11719226	C₂²	1	2	yes	complemented
134	D₁₃×#117	C₂²	1	4	yes	complemented
135	#11719221	C₂²	1	2	yes	complemented
136	#11719215	C₂²	1	4	yes	complemented
137	#11719212	C₂²	1	16	yes	complemented
138	#11719209	C₂²	1	4	yes	complemented
139	#11719198	C₂²	1	4	yes	complemented
140	#11719195	C₂²	1	16	yes	complemented
141	#11719195	C₂²	1	16	yes	complemented
142	#11719191	C₂²	1	4	yes	complemented
143	#11719182	C₂²	1	4	yes	complemented
144	C₄×#6127	C₂²	1	4	yes	complemented
145	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
146	C₂⁴×D₁₃	C₂³	1	2	yes	—
147	C₂×C₁₃×#41	—	2	8	no	—
148	C₂×C₁₃×#41	C₂³	1	2	yes	—
149	C₂×C₁₃×#41	C₂³	1	2	yes	—
150	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
151	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
152	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
153	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
154	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
155	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
156	C₂³×C₄×C₁₃	—	2	8	no	—
157	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
158	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
159	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
161	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
162	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₁₃	C₂³	1	2	yes	complemented
168	C₂²×C₂²⋊D₁₃	—	2	16	no	—
169	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	—
170	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	—
174	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
176	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
178	C₂³×Dic₁₃	C₂³	1	2	yes	—
179	#88257	—	2	16	no	—
180	#88257	—	2	16	no	—
181	#88256	—	2	16	no	—
182	#88256	—	2	16	no	—
183	#41×D₁₃	—	2	32	no	—
184	#41×D₁₃	—	2	32	no	—
185	#88254	—	2	16	no	—
186	C₂×#6131	C₂³	1	4	yes	complemented
187	C₂×#6131	C₂³	1	4	yes	complemented
188	C₂×Q₈×D₁₃	C₂³	1	4	yes	complemented
189	C₂×Q₈×D₁₃	C₂³	1	4	yes	complemented
190	#88251	—	2	32	no	—
191	#88251	—	2	16	no	—
192	C₂×#6129	C₂³	1	8	yes	—
193	C₂×#6129	C₂³	1	8	yes	complemented
194	C₂×#6129	C₂³	1	4	yes	complemented
195	C₂×#6129	C₂³	1	4	yes	complemented
196	C₂×D₄×D₁₃	C₂³	1	8	yes	—
197	C₂×D₄×D₁₃	C₂³	1	16	yes	—
198	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
199	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
200	C₂×D₄×D₁₃	C₂³	1	4	yes	complemented
201	C₂×#6127	—	2	8	no	—
202	C₂×#6127	—	2	8	no	—
203	C₂×#6127	—	2	16	no	—
204	C₂×#6127	—	2	32	no	—
205	C₂×#6127	—	2	32	no	—
206	C₂×#6127	—	2	32	no	—
207	C₂×#6127	—	2	32	no	—
208	C₂×#6127	—	2	32	no	—
209	C₂×#6127	—	2	8	no	—
210	C₂×#6127	—	2	16	no	—
211	C₂×#6127	—	2	8	no	—
212	C₂×#6127	D₄	1	16	yes	complemented
213	C₂×#6127	C₂³	1	2	yes	—
214	C₂×#6127	C₂³	1	8	yes	—
215	C₂×#6127	C₂³	1	2	yes	—
216	C₂×#6127	C₂³	1	2	yes	—
217	C₂×#6127	C₂³	1	2	yes	—
218	C₂×#6127	C₂³	1	2	yes	—
219	C₂×#6127	C₂³	1	2	yes	—
220	C₂×#6127	C₂³	1	8	yes	—
221	C₂×#6127	C₂³	1	4	yes	—
222	C₂×#6127	C₂³	1	4	yes	—
223	C₂×#6127	C₂³	1	4	yes	—
224	C₂×#6127	C₂³	1	8	yes	—
225	C₂×#6127	C₂³	1	4	yes	—
226	C₂×#6127	C₂³	1	8	yes	—
227	C₂×#6127	C₂³	1	2	yes	—
228	C₂×#6127	C₂³	1	2	yes	—
229	C₂×#6127	C₂³	1	2	yes	—
230	C₂×#6127	C₂³	1	2	yes	—
231	C₂×#6127	C₂³	1	2	yes	complemented
232	C₂×#6127	C₂³	1	8	yes	complemented
233	C₂×#6127	C₂³	1	2	yes	complemented
234	C₂×#6127	C₂³	1	8	yes	complemented
235	C₂×#6127	C₂³	1	4	yes	complemented
236	C₂×#6127	C₂³	1	4	yes	complemented
237	C₂²×D₅₂	—	2	8	no	—
238	C₂²×D₅₂	C₂³	1	1	yes	characteristic
239	C₂²×D₅₂	C₂³	1	4	yes	—
240	C₂²×D₅₂	C₂³	1	4	yes	—
241	C₂²×D₅₂	C₂³	1	2	yes	—
242	C₂²×D₅₂	C₂³	1	1	yes	characteristic
243	C₂²×D₅₂	C₂³	1	1	yes	characteristic, complemented
244	C₂²×D₅₂	C₂³	1	4	yes	complemented
245	C₂²×C₄×D₁₃	—	2	16	no	—
246	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
247	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
248	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
249	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
250	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
251	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
252	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
253	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
254	C₂²×Dic₂₆	—	2	8	no	—
255	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
256	C₂²×Dic₂₆	C₂³	1	4	yes	—
257	C₂²×Dic₂₆	C₂³	1	4	yes	—
258	C₂²×Dic₂₆	C₂³	1	2	yes	—
259	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
260	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
261	C₂²×Dic₂₆	C₂³	1	4	yes	complemented
262	C₁₃×#123	C₂³	1	4	yes	—
263	C₁₃×#123	C₂³	1	4	yes	—
264	C₁₃×#123	C₂³	1	8	yes	complemented
265	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
267	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
268	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
269	C₁₃×#121	C₂³	1	4	yes	—
270	C₁₃×#121	C₂³	1	4	yes	—
271	C₁₃×#121	C₂³	1	4	yes	complemented
272	C₁₃×#121	C₂³	1	4	yes	complemented
273	C₁₃×#120	C₂³	1	4	yes	—
274	C₁₃×#120	C₂³	1	4	yes	—
275	C₁₃×#120	C₂³	1	8	yes	—
276	C₄×D₄×C₁₃	C₂³	1	8	yes	—
277	C₄×D₄×C₁₃	C₂³	1	8	yes	—
278	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
279	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
280	C₁₃×#117	C₂³	1	2	yes	—
281	C₁₃×#117	C₂³	1	2	yes	—
282	C₁₃×#117	C₂³	1	2	yes	complemented
283	C₁₃×#117	C₂³	1	2	yes	complemented
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
286	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
289	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
290	#88207	C₂³	1	8	yes	—
291	#88207	C₂³	1	4	yes	—
292	#88207	C₂³	1	4	yes	—
293	#88207	C₂³	1	8	yes	complemented
294	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
295	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	—
296	#88201	C₂³	1	4	yes	complemented
297	#88200	C₂³	1	8	yes	complemented
298	#88198	C₂³	1	4	yes	complemented
299	#88194	C₂³	1	16	yes	complemented
300	#88194	C₂³	1	4	yes	complemented
301	#88193	C₂³	1	16	yes	—
302	#88193	C₂³	1	16	yes	complemented
303	#88193	C₂³	1	16	yes	complemented
304	#88192	C₂³	1	16	yes	complemented
305	#88192	C₂³	1	8	yes	complemented
306	#88191	C₂³	1	16	yes	—
307	#88191	C₂³	1	8	yes	—
308	#88191	C₂³	1	16	yes	complemented
309	#88190	C₂³	1	4	yes	complemented
310	#88189	C₂³	1	8	yes	—
311	D₄×Dic₁₃	C₂³	1	16	yes	—
312	#88184	C₂³	1	4	yes	—
313	#88184	C₂³	1	4	yes	—
314	#88184	C₂³	1	16	yes	complemented
315	#88184	C₂³	1	4	yes	complemented
316	#88184	C₂³	1	4	yes	complemented
317	#88184	C₂³	1	8	yes	complemented
318	#88183	C₂³	1	4	yes	—
319	#88183	C₂³	1	4	yes	—
320	#88183	C₂³	1	8	yes	complemented
321	#88183	C₂³	1	8	yes	complemented
322	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
323	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
324	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
325	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
326	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
327	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
328	C₂×#6103	C₂³	1	4	yes	complemented
329	#88180	C₂³	1	2	yes	—
330	#88180	C₂³	1	2	yes	—
331	#88180	C₂³	1	2	yes	complemented
332	#88180	C₂³	1	2	yes	complemented
333	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
334	#88178	C₂³	1	4	yes	—
335	#88178	C₂³	1	4	yes	—
336	#88178	C₂³	1	4	yes	complemented
337	#88178	C₂³	1	4	yes	complemented
338	#88178	C₂³	1	8	yes	complemented
339	C₂×#6101	C₂³	1	4	yes	complemented
340	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
341	#88151	C₂³	1	8	yes	complemented
342	#88151	C₂³	1	8	yes	complemented
343	#88150	C₂³	1	16	yes	complemented
344	#88150	C₂³	1	16	yes	complemented
345	#88149	C₂³	1	16	yes	complemented
346	#88149	C₂³	1	8	yes	complemented
347	#88149	C₂³	1	8	yes	complemented
348	#88148	C₂³	1	16	yes	complemented
349	#88148	C₂³	1	16	yes	complemented
350	#88147	C₂³	1	8	yes	complemented
351	#88147	C₂³	1	16	yes	complemented
352	#88146	C₂³	1	8	yes	complemented
353	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
354	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
355	#88142	C₂³	1	16	yes	complemented
356	#88141	C₂³	1	8	yes	complemented
357	#88140	C₂³	1	8	yes	—
358	#88140	C₂³	1	8	yes	complemented
359	#88139	C₂³	1	16	yes	complemented
360	#88139	C₂³	1	16	yes	complemented
361	#88138	C₂³	1	16	yes	complemented
362	#88138	C₂³	1	16	yes	complemented
363	#88138	C₂³	1	16	yes	complemented
364	#88138	C₂³	1	16	yes	complemented
365	#88137	C₂³	1	16	yes	complemented
366	#88137	C₂³	1	16	yes	complemented
367	#88136	C₂³	1	16	yes	—
368	#88136	C₂³	1	8	yes	—
369	#88136	C₂³	1	16	yes	complemented
370	#88136	C₂³	1	8	yes	complemented
371	#88135	C₂³	1	16	yes	—
372	#88135	C₂³	1	16	yes	complemented
373	#88135	C₂³	1	16	yes	complemented
374	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
375	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
376	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
377	#88132	C₂³	1	16	yes	—
378	#88132	C₂³	1	16	yes	complemented
379	#88131	C₂³	1	8	yes	—
380	#88129	C₂³	1	4	yes	complemented
381	#88129	C₂³	1	4	yes	complemented
382	#88128	C₂³	1	4	yes	complemented
383	C₄×D₅₂	C₂³	1	8	yes	complemented
384	C₄×D₅₂	C₂³	1	16	yes	complemented
385	#88126	C₂³	1	8	yes	complemented
386	C₄²×D₁₃	C₂³	1	8	yes	complemented
387	#88123	C₂³	1	4	yes	complemented
388	C₄×Dic₂₆	C₂³	1	8	yes	complemented
389	#62811	—	13	1	no	maximal, Sylow
390	C₂⁴×C₁₃	—	2	4	no	—
391	C₂⁴×C₁₃	—	4	4	no	—
392	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
394	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
395	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
397	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂³×D₁₃	—	2	8	no	—
399	C₂³×D₁₃	—	4	8	no	—
400	C₂³×D₁₃	C₂⁴	1	8	yes	—
401	C₂³×D₁₃	C₂⁴	1	8	yes	—
402	C₂³×D₁₃	C₂⁴	1	2	yes	—
403	C₂³×D₁₃	C₂⁴	1	2	yes	—
404	C₂³×D₁₃	C₂⁴	1	2	yes	—
405	C₁₃×#41	—	2	8	no	—
406	C₁₃×#41	—	2	8	no	—
407	C₁₃×#41	—	2	8	no	—
408	C₁₃×#41	—	2	8	no	—
409	C₂×Q₈×C₁₃	—	2	4	no	—
410	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
411	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
412	C₂×D₄×C₁₃	—	2	8	no	—
413	C₂×D₄×C₁₃	—	2	4	no	—
414	C₂×D₄×C₁₃	—	4	8	no	—
415	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
416	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
417	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
418	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
419	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
420	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
421	C₂²×C₄×C₁₃	—	2	4	no	—
422	C₂²×C₄×C₁₃	—	2	4	no	—
423	C₂²×C₄×C₁₃	—	2	4	no	—
424	C₂²×C₄×C₁₃	—	2	4	no	—
425	C₂²×C₄×C₁₃	—	2	4	no	—
426	C₂²×C₄×C₁₃	—	2	8	no	—
427	C₂²×C₄×C₁₃	—	2	8	no	—
428	C₂²×C₄×C₁₃	—	2	8	no	—
429	C₂²×C₄×C₁₃	—	2	8	no	—
430	C₂²×C₄×C₁₃	—	2	8	no	—
431	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	complemented
432	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
433	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
434	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
435	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
436	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
437	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
438	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
439	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
440	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
441	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
442	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
443	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
446	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
447	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
448	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₂×C₂²⋊D₁₃	—	2	8	no	—
455	C₂×C₂²⋊D₁₃	—	2	8	no	—
456	C₂×C₂²⋊D₁₃	—	2	8	no	—
457	C₂×C₂²⋊D₁₃	—	2	32	no	—
458	C₂×C₂²⋊D₁₃	—	2	32	no	—
459	C₂×C₂²⋊D₁₃	—	2	32	no	—
460	C₂×C₂²⋊D₁₃	—	2	8	no	—
461	C₂×C₂²⋊D₁₃	—	4	8	no	—
462	C₂×C₂²⋊D₁₃	C₂×D₄	1	16	yes	complemented
463	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
464	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
465	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
466	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
467	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
468	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
469	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
470	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
471	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
472	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
473	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
474	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
475	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
476	C₂²×Dic₁₃	—	2	8	no	—
477	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
478	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
479	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
480	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
481	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
482	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
483	#6131	—	2	16	no	—
484	#6131	—	2	16	no	—
485	Q₈×D₁₃	—	2	16	no	—
486	Q₈×D₁₃	—	2	16	no	—
487	#6129	—	2	32	no	—
488	#6129	—	2	32	no	—
489	#6129	—	2	16	no	—
490	#6129	—	2	16	no	—
491	D₄×D₁₃	—	2	32	no	—
492	D₄×D₁₃	—	2	32	no	—
493	D₄×D₁₃	—	2	16	no	—
494	D₄×D₁₃	—	2	16	no	—
495	D₄×D₁₃	—	4	32	no	—
496	#6127	—	2	8	no	—
497	#6127	—	2	8	no	—
498	#6127	—	2	8	no	—
499	#6127	—	2	8	no	—
500	#6127	—	2	8	no	—
501	#6127	—	2	8	no	—
502	#6127	—	2	8	no	—
503	#6127	—	2	8	no	—
504	#6127	—	2	32	no	—
505	#6127	—	2	32	no	—
506	#6127	—	2	32	no	—
507	#6127	—	2	16	no	—
508	#6127	—	2	16	no	—
509	#6127	—	2	16	no	—
510	#6127	—	2	32	no	—
511	#6127	—	2	32	no	—
512	#6127	—	2	32	no	—
513	#6127	—	2	16	no	—
514	#6127	—	2	16	no	—
515	#6127	—	2	16	no	—
516	#6127	C₂×D₄	1	16	yes	complemented
517	#6127	C₂×D₄	1	16	yes	complemented
518	#6127	C₂×D₄	1	16	yes	complemented
519	#6127	C₂×D₄	1	16	yes	complemented
520	C₂×D₅₂	—	2	8	no	—
521	C₂×D₅₂	—	2	4	no	—
522	C₂×D₅₂	—	2	4	no	—
523	C₂×D₅₂	—	2	16	no	—
524	C₂×D₅₂	—	2	16	no	—
525	C₂×D₅₂	—	2	16	no	—
526	C₂×D₅₂	C₂×D₄	1	8	yes	complemented
527	C₂×D₅₂	C₂⁴	1	2	yes	—
528	C₂×D₅₂	C₂⁴	1	2	yes	—
529	C₂×D₅₂	C₂⁴	1	8	yes	—
530	C₂×D₅₂	C₂⁴	1	8	yes	—
531	C₂×D₅₂	C₂⁴	1	2	yes	—
532	C₂×D₅₂	C₂⁴	1	2	yes	—
533	C₂×D₅₂	C₂⁴	1	16	yes	—
534	C₂×D₅₂	C₂⁴	1	2	yes	—
535	C₂×D₅₂	C₂⁴	1	2	yes	—
536	C₂×C₄×D₁₃	—	2	8	no	—
537	C₂×C₄×D₁₃	—	2	8	no	—
538	C₂×C₄×D₁₃	—	2	8	no	—
539	C₂×C₄×D₁₃	—	2	8	no	—
540	C₂×C₄×D₁₃	—	2	32	no	—
541	C₂×C₄×D₁₃	—	2	32	no	—
542	C₂×C₄×D₁₃	—	2	32	no	—
543	C₂×C₄×D₁₃	C₂×D₄	1	16	yes	complemented
544	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
545	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
546	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
547	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
548	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
549	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
550	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
551	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
552	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
553	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
554	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
555	C₂×Dic₂₆	—	2	4	no	—
556	C₂×Dic₂₆	—	2	4	no	—
557	C₂×Dic₂₆	—	2	8	no	—
558	C₂×Dic₂₆	—	2	16	no	—
559	C₂×Dic₂₆	—	2	16	no	—
560	C₂×Dic₂₆	—	2	16	no	—
561	C₂×Dic₂₆	C₂×D₄	1	8	yes	complemented
562	C₂×Dic₂₆	C₂⁴	1	2	yes	—
563	C₂×Dic₂₆	C₂⁴	1	2	yes	—
564	C₂×Dic₂₆	C₂⁴	1	8	yes	—
565	C₂×Dic₂₆	C₂⁴	1	8	yes	—
566	C₂×Dic₂₆	C₂⁴	1	2	yes	—
567	C₂×Dic₂₆	C₂⁴	1	2	yes	—
568	C₂×Dic₂₆	C₂⁴	1	2	yes	—
569	C₂×Dic₂₆	C₂⁴	1	2	yes	—
570	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
571	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
572	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
573	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
574	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
575	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
576	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
577	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
578	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
579	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
580	C₄²×C₁₃	C₂⁴	1	4	yes	—
581	C₄²×C₁₃	C₂⁴	1	4	yes	—
582	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
583	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
584	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
585	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
586	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
587	#6103	C₂⁴	1	16	yes	—
588	#6103	C₂⁴	1	16	yes	—
589	#6103	C₂⁴	1	16	yes	—
590	#6103	C₂⁴	1	16	yes	—
591	#6103	C₂⁴	1	8	yes	—
592	#6103	C₂⁴	1	8	yes	—
593	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
594	C₄⋊Dic₁₃	C₂⁴	1	16	yes	—
595	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
596	#6101	C₂⁴	1	16	yes	—
597	#6101	C₂⁴	1	16	yes	—
598	#6101	C₂⁴	1	8	yes	—
599	#6101	C₂⁴	1	8	yes	—
600	C₄×Dic₁₃	C₂⁴	1	16	yes	—
601	C₄×Dic₁₃	C₂⁴	1	4	yes	—
602	C₄×Dic₁₃	C₂⁴	1	4	yes	—
603	C₂×#585	—	13	1	no	—
604	C₂³×#41	—	13	1	no	—
605	#3489	—	13	4	no	—
606	#3489	—	13	4	no	—
607	#3488	—	13	4	no	—
608	#3488	—	13	4	no	—
609	#3487	—	13	2	no	—
610	#3486	—	13	2	no	—
611	#3485	—	13	2	no	—
612	#3485	—	13	4	no	—
613	#3484	—	13	2	no	—
614	#3484	—	13	4	no	—
615	D₄×#41	—	13	8	no	—
616	D₄×#41	—	13	8	no	—
617	#3449	—	13	1	no	—
618	#3449	—	13	4	no	—
619	#3449	—	13	1	no	—
620	C₂×#525	—	13	1	no	—
621	C₂×#525	—	13	4	no	—
622	C₂×#525	D₁₃	1	1	yes	characteristic, complemented
623	#3428	—	13	1	no	—
624	C₂³×C₁₃	—	2	2	no	—
625	C₂³×C₁₃	—	2	4	no	—
626	C₂³×C₁₃	—	2	4	no	—
627	C₂³×C₁₃	—	2	4	no	—
628	C₂³×C₁₃	—	2	2	no	—
629	C₂³×C₁₃	—	2	4	no	—
630	C₂³×C₁₃	—	2	4	no	—
631	C₂³×C₁₃	—	2	4	no	—
632	C₂³×C₁₃	—	4	2	no	—
633	C₂³×C₁₃	—	4	2	no	—
634	C₂³×C₁₃	—	4	2	no	—
635	C₂³×C₁₃	—	4	2	no	—
636	C₂³×C₁₃	—	4	4	no	—
637	C₂³×C₁₃	—	4	16	no	—
638	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
639	C₂³×C₁₃	C₂⁵	1	4	yes	—
640	C₂³×C₁₃	C₂⁵	1	2	yes	—
641	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
642	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
643	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
644	C₂³×C₁₃	C₂⁵	1	2	yes	—
645	C₂²×D₁₃	—	2	4	no	—
646	C₂²×D₁₃	—	2	16	no	—
647	C₂²×D₁₃	—	2	4	no	—
648	C₂²×D₁₃	—	2	16	no	—
649	C₂²×D₁₃	—	2	16	no	—
650	C₂²×D₁₃	—	4	4	no	—
651	C₂²×D₁₃	—	4	8	no	—
652	C₂²×D₁₃	—	4	4	no	—
653	C₂²×D₁₃	—	4	16	no	—
654	C₂²×D₁₃	—	4	4	no	—
655	C₂²×D₁₃	—	4	32	no	—
656	C₂²×D₁₃	C₂²×D₄	1	8	yes	—
657	C₂²×D₁₃	C₂⁵	1	4	yes	—
658	C₂²×D₁₃	C₂⁵	1	4	yes	—
659	C₂²×D₁₃	C₂⁵	1	4	yes	—
660	Q₈×C₁₃	—	2	4	no	—
661	Q₈×C₁₃	—	2	4	no	—
662	D₄×C₁₃	—	2	8	no	—
663	D₄×C₁₃	—	2	8	no	—
664	D₄×C₁₃	—	2	16	no	—
665	D₄×C₁₃	—	2	4	no	—
666	D₄×C₁₃	—	2	4	no	—
667	D₄×C₁₃	—	4	8	no	—
668	C₂×C₄×C₁₃	—	2	2	no	—
669	C₂×C₄×C₁₃	—	2	2	no	—
670	C₂×C₄×C₁₃	—	2	4	no	—
671	C₂×C₄×C₁₃	—	2	4	no	—
672	C₂×C₄×C₁₃	—	2	4	no	—
673	C₂×C₄×C₁₃	—	2	4	no	—
674	C₂×C₄×C₁₃	—	2	4	no	—
675	C₂×C₄×C₁₃	—	2	8	no	—
676	C₂×C₄×C₁₃	—	2	4	no	—
677	C₂×C₄×C₁₃	—	2	4	no	—
678	C₂×C₄×C₁₃	—	2	8	no	—
679	C₂×C₄×C₁₃	—	2	4	no	—
680	C₂×C₄×C₁₃	—	2	4	no	—
681	C₂×C₄×C₁₃	—	2	4	no	—
682	C₂×C₄×C₁₃	—	2	4	no	—
683	C₂×C₄×C₁₃	—	4	4	no	—
684	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
685	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
686	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
687	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
688	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
689	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
690	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
691	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
692	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
693	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
694	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
695	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
696	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
697	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
698	C₂²⋊D₁₃	—	2	8	no	—
699	C₂²⋊D₁₃	—	2	8	no	—
700	C₂²⋊D₁₃	—	2	8	no	—
701	C₂²⋊D₁₃	—	2	8	no	—
702	C₂²⋊D₁₃	—	2	16	no	—
703	C₂²⋊D₁₃	—	2	16	no	—
704	C₂²⋊D₁₃	—	2	16	no	—
705	C₂²⋊D₁₃	—	2	16	no	—
706	C₂²⋊D₁₃	—	2	16	no	—
707	C₂²⋊D₁₃	—	4	16	no	—
708	C₂²⋊D₁₃	—	4	8	no	—
709	C₂²⋊D₁₃	C₂²×D₄	1	16	yes	—
710	C₂²⋊D₁₃	C₂²×D₄	1	16	yes	—
711	C₂×Dic₁₃	—	2	4	no	—
712	C₂×Dic₁₃	—	2	4	no	—
713	C₂×Dic₁₃	—	2	16	no	—
714	C₂×Dic₁₃	—	2	16	no	—
715	C₂×Dic₁₃	—	4	4	no	—
716	C₂×Dic₁₃	C₂²×D₄	1	8	yes	—
717	C₂×Dic₁₃	C₂⁵	1	8	yes	—
718	C₂×Dic₁₃	C₂⁵	1	4	yes	—
719	C₂×Dic₁₃	C₂⁵	1	4	yes	—
720	C₂×Dic₁₃	C₂⁵	1	4	yes	—
721	D₅₂	—	2	16	no	—
722	D₅₂	—	2	16	no	—
723	D₅₂	—	2	4	no	—
724	D₅₂	—	2	4	no	—
725	D₅₂	—	2	4	no	—
726	D₅₂	—	2	4	no	—
727	D₅₂	—	4	16	no	—
728	D₅₂	C₂²×D₄	1	8	yes	—
729	D₅₂	C₂²×D₄	1	8	yes	—
730	C₄×D₁₃	—	2	16	no	—
731	C₄×D₁₃	—	2	16	no	—
732	C₄×D₁₃	—	2	8	no	—
733	C₄×D₁₃	—	2	8	no	—
734	C₄×D₁₃	—	2	8	no	—
735	C₄×D₁₃	—	2	8	no	—
736	C₄×D₁₃	—	2	16	no	—
737	C₄×D₁₃	—	2	16	no	—
738	C₄×D₁₃	—	4	16	no	—
739	C₄×D₁₃	C₂²×D₄	1	16	yes	—
740	C₄×D₁₃	C₂²×D₄	1	16	yes	—
741	Dic₂₆	—	2	4	no	—
742	Dic₂₆	—	2	4	no	—
743	Dic₂₆	—	2	4	no	—
744	Dic₂₆	—	2	4	no	—
745	Dic₂₆	—	2	16	no	—
746	Dic₂₆	—	2	16	no	—
747	Dic₂₆	C₂²×D₄	1	8	yes	—
748	Dic₂₆	C₂²×D₄	1	8	yes	—
749	#585	—	26	16	no	—
750	C₂×2₋¹⁺⁴	—	13	2	no	—
751	C₂×2₋¹⁺⁴	—	13	2	no	—
752	C₂×2₋¹⁺⁴	—	13	2	no	—
753	C₂×H(5,𝔽₂)	—	13	2	no	—
754	C₂×H(5,𝔽₂)	—	13	2	no	—
755	C₂×H(5,𝔽₂)	—	13	4	no	—
756	C₂×H(5,𝔽₂)	—	13	2	no	—
757	C₂²×#41	—	13	4	no	—
758	C₂²×#41	—	13	4	no	—
759	C₂²×#41	—	13	1	no	—
760	C₂²×#41	—	13	2	no	—
761	C₂²×#41	—	13	1	no	—
762	C₂²×#41	—	13	4	no	—
763	C₂²×#41	—	13	4	no	—
764	C₂²×#41	—	13	1	no	—
765	C₂²×#41	—	13	2	no	—
766	C₂²×#41	—	13	1	no	—
767	C₂²×#41	—	13	4	no	—
768	C₂²×#41	—	13	4	no	—
769	C₂²×#41	—	13	1	no	—
770	C₂²×#41	—	13	4	no	—
771	C₂²×#41	—	26	16	no	—
772	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
773	C₂³×Q₈	—	13	1	no	—
774	C₂³×D₄	—	13	2	no	—
775	C₂³×D₄	—	13	1	no	—
776	C₂⁴×C₄	—	13	2	no	—
777	C₂⁴×C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
778	#550	—	13	8	no	—
779	#550	—	13	8	no	—
780	D₄×Q₈	—	13	8	no	—
781	D₄×Q₈	—	13	8	no	—
782	#548	—	13	8	no	—
783	#548	—	13	8	no	—
784	#548	—	13	8	no	—
785	#548	—	13	8	no	—
786	#547	—	13	16	no	—
787	#547	—	13	8	no	—
788	#547	—	13	8	no	—
789	#547	—	13	16	no	—
790	#546	—	13	16	no	—
791	#546	—	13	8	no	—
792	#546	—	13	8	no	—
793	#546	—	13	16	no	—
794	#546	—	13	8	no	—
795	#546	—	13	8	no	—
796	#546	—	13	16	no	—
797	#546	—	13	16	no	—
798	D₄²	—	13	16	no	—
799	D₄²	—	13	8	no	—
800	D₄²	—	13	16	no	—
801	D₄²	—	13	8	no	—
802	#537	—	13	4	no	—
803	#537	—	13	8	no	—
804	#537	—	13	8	no	—
805	#537	—	13	4	no	—
806	#536	—	13	2	no	—
807	#536	—	13	2	no	—
808	#536	—	13	8	no	—
809	#536	—	13	8	no	—
810	#536	—	13	2	no	—
811	#536	—	13	2	no	—
812	#535	—	13	2	no	—
813	#535	—	13	2	no	—
814	#535	—	13	8	no	—
815	#535	—	13	8	no	—
816	#535	—	13	2	no	—
817	#535	—	13	2	no	—
818	#534	—	13	4	no	—
819	#534	—	13	8	no	—
820	#534	—	13	8	no	—
821	#534	—	13	4	no	—
822	#532	—	13	4	no	—
823	#532	—	13	16	no	—
824	#532	—	13	4	no	—
825	#525	—	13	4	no	—
826	#525	—	13	2	no	—
827	#525	—	13	2	no	—
828	#525	—	13	4	no	—
829	#525	—	13	2	no	—
830	#525	—	13	2	no	—
831	#525	—	13	4	no	—
832	#525	—	13	4	no	—
833	#525	—	13	8	no	—
834	#525	—	13	8	no	—
835	#525	—	13	8	no	—
836	#525	—	13	8	no	—
837	#525	—	13	16	no	—
838	#525	—	13	16	no	—
839	#525	—	13	4	no	—
840	#525	—	13	4	no	—
841	#525	C₂×D₁₃	1	2	yes	complemented
842	#525	C₂×D₁₃	1	2	yes	complemented
843	#525	C₂×D₁₃	1	2	yes	complemented
844	#525	C₂×D₁₃	1	2	yes	complemented
845	#525	C₂×D₁₃	1	4	yes	complemented
846	#525	C₂×D₁₃	1	4	yes	complemented
847	C₂×#123	—	13	2	no	—
848	C₂×#123	—	13	8	no	—
849	C₂×#123	C₂×D₁₃	1	2	yes	complemented
850	C₂×C₂²⋊Q₈	—	13	2	no	—
851	C₂×C₂²⋊Q₈	—	13	8	no	—
852	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
853	C₂×#121	—	13	2	no	—
854	C₂×#121	—	13	8	no	—
855	C₂×#121	C₂×D₁₃	1	2	yes	complemented
856	C₂×#120	—	13	2	no	—
857	C₂×#120	—	13	8	no	—
858	C₂×#120	C₂×D₁₃	1	2	yes	complemented
859	#520	—	13	4	no	—
860	#520	—	13	4	no	—
861	#519	—	13	2	no	—
862	#518	—	13	2	no	—
863	#518	—	13	4	no	—
864	C₄×#41	—	13	4	no	—
865	C₄×#41	—	13	4	no	—
866	C₂×C₄×D₄	—	13	4	no	—
867	C₂×C₄×D₄	—	13	16	no	—
868	C₂×C₄×D₄	C₂×D₁₃	1	4	yes	complemented
869	C₂×#117	—	13	1	no	—
870	C₂×#117	—	13	4	no	—
871	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
872	C₂²×C₁₃	—	2	8	no	—
873	C₂²×C₁₃	—	2	2	no	—
874	C₂²×C₁₃	—	2	2	no	—
875	C₂²×C₁₃	—	2	2	no	—
876	C₂²×C₁₃	—	2	2	no	—
877	C₂²×C₁₃	—	2	2	no	—
878	C₂²×C₁₃	—	2	4	no	—
879	C₂²×C₁₃	—	2	2	no	—
880	C₂²×C₁₃	—	2	2	no	—
881	C₂²×C₁₃	—	2	8	no	—
882	C₂²×C₁₃	—	2	2	no	—
883	C₂²×C₁₃	—	4	4	no	—
884	C₂²×C₁₃	—	4	8	no	—
885	C₂²×C₁₃	—	4	8	no	—
886	C₂²×C₁₃	—	4	4	no	—
887	C₂²×C₁₃	—	8	4	no	—
888	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
889	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
890	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
891	C₂²×C₁₃	#585	1	4	yes	complemented
892	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
893	C₂×D₁₃	—	2	8	no	—
894	C₂×D₁₃	—	2	4	no	—
895	C₂×D₁₃	—	2	4	no	—
896	C₂×D₁₃	—	2	8	no	—
897	C₂×D₁₃	—	2	8	no	—
898	C₂×D₁₃	—	4	8	no	—
899	C₂×D₁₃	—	4	32	no	—
900	C₂×D₁₃	—	4	8	no	—
901	C₂×D₁₃	—	8	16	no	—
902	C₂×D₁₃	—	8	4	no	—
903	C₂×D₁₃	C₂³×D₄	1	8	yes	—
904	C₄×C₁₃	—	2	2	no	—
905	C₄×C₁₃	—	2	4	no	—
906	C₄×C₁₃	—	2	2	no	—
907	C₄×C₁₃	—	2	8	no	—
908	C₄×C₁₃	C₂³×D₄	1	2	yes	—
909	C₄×C₁₃	C₂³×D₄	1	2	yes	—
910	C₄×C₁₃	C₂³×D₄	1	2	yes	—
911	C₄×C₁₃	C₂³×D₄	1	2	yes	—
912	Dic₁₃	—	2	4	no	—
913	Dic₁₃	—	2	4	no	—
914	Dic₁₃	—	2	8	no	—
915	Dic₁₃	C₂³×D₄	1	8	yes	—
916	C₂⁵	—	13	2	no	—
917	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
918	2₋¹⁺⁴	—	26	16	no	—
919	2₋¹⁺⁴	—	26	16	no	—
920	2₋¹⁺⁴	—	26	16	no	—
921	H(5,𝔽₂)	—	26	32	no	—
922	H(5,𝔽₂)	—	26	16	no	—
923	H(5,𝔽₂)	—	26	16	no	—
924	H(5,𝔽₂)	—	26	16	no	—
925	C₂×#41	—	2	8	no	—
926	C₂×#41	—	13	4	no	—
927	C₂×#41	—	13	4	no	—
928	C₂×#41	—	13	8	no	—
929	C₂×#41	—	13	4	no	—
930	C₂×#41	—	13	8	no	—
931	C₂×#41	—	13	4	no	—
932	C₂×#41	—	13	16	no	—
933	C₂×#41	—	13	2	no	—
934	C₂×#41	—	13	2	no	—
935	C₂×#41	—	13	2	no	—
936	C₂×#41	—	13	2	no	—
937	C₂×#41	—	13	2	no	—
938	C₂×#41	—	13	8	no	—
939	C₂×#41	—	13	2	no	—
940	C₂×#41	—	13	2	no	—
941	C₂×#41	—	13	8	no	—
942	C₂×#41	—	13	2	no	—
943	C₂×#41	—	13	2	no	—
944	C₂×#41	—	13	2	no	—
945	C₂×#41	—	13	8	no	—
946	C₂×#41	—	13	2	no	—
947	C₂×#41	—	13	2	no	—
948	C₂×#41	—	13	4	no	—
949	C₂×#41	—	13	4	no	—
950	C₂×#41	—	13	8	no	—
951	C₂×#41	—	13	8	no	—
952	C₂×#41	—	13	4	no	—
953	C₂×#41	—	13	8	no	—
954	C₂×#41	—	13	4	no	—
955	C₂×#41	—	13	4	no	—
956	C₂×#41	—	13	4	no	—
957	C₂×#41	—	26	16	no	—
958	C₂×#41	—	26	16	no	—
959	C₂×#41	—	26	8	no	—
960	C₂×#41	—	26	8	no	—
961	C₂×#41	—	26	32	no	—
962	C₂×#41	—	26	32	no	—
963	C₂×#41	—	26	32	no	—
964	C₂×#41	—	26	32	no	—
965	C₂×#41	—	26	32	no	—
966	C₂×#41	—	26	32	no	—
967	C₂×#41	—	26	32	no	—
968	C₂×#41	—	26	8	no	—
969	C₂×#41	—	26	8	no	—
970	C₂×#41	C₂²×D₁₃	1	2	yes	—
971	C₂×#41	C₂²×D₁₃	1	2	yes	—
972	C₂×#41	C₂²×D₁₃	1	2	yes	complemented
973	C₂×#41	C₂²×D₁₃	1	2	yes	complemented
974	C₂²×Q₈	—	13	4	no	—
975	C₂²×Q₈	—	13	4	no	—
976	C₂²×Q₈	—	13	1	no	—
977	C₂²×Q₈	—	13	1	no	—
978	C₂²×Q₈	—	13	2	no	—
979	C₂²×Q₈	—	13	1	no	—
980	C₂²×Q₈	—	13	4	no	—
981	C₂²×Q₈	—	13	4	no	—
982	C₂²×Q₈	—	13	4	no	—
983	C₂²×Q₈	—	26	8	no	—
984	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
985	C₂²×D₄	—	13	2	no	—
986	C₂²×D₄	—	13	2	no	—
987	C₂²×D₄	—	13	2	no	—
988	C₂²×D₄	—	13	2	no	—
989	C₂²×D₄	—	13	2	no	—
990	C₂²×D₄	—	13	8	no	—
991	C₂²×D₄	—	13	8	no	—
992	C₂²×D₄	—	13	8	no	—
993	C₂²×D₄	—	13	4	no	—
994	C₂²×D₄	—	13	8	no	—
995	C₂²×D₄	—	13	4	no	—
996	C₂²×D₄	—	13	8	no	—
997	C₂²×D₄	—	13	4	no	—
998	C₂²×D₄	—	13	16	no	—
999	C₂²×D₄	—	13	1	no	—
1000	C₂²×D₄	—	13	1	no	—
1001	C₂²×D₄	—	13	2	no	—
1002	C₂²×D₄	—	13	1	no	—
1003	C₂²×D₄	—	13	4	no	—
1004	C₂²×D₄	—	13	4	no	—
1005	C₂²×D₄	—	13	4	no	—
1006	C₂²×D₄	—	26	8	no	—
1007	C₂²×D₄	—	26	16	no	—
1008	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
1009	C₂²×D₄	C₂²×D₁₃	1	4	yes	—
1010	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1011	C₂³×C₄	—	2	8	no	—
1012	C₂³×C₄	—	13	2	no	—
1013	C₂³×C₄	—	13	2	no	—
1014	C₂³×C₄	—	13	8	no	—
1015	C₂³×C₄	—	13	8	no	—
1016	C₂³×C₄	—	13	2	no	—
1017	C₂³×C₄	—	13	8	no	—
1018	C₂³×C₄	—	13	2	no	—
1019	C₂³×C₄	—	13	2	no	—
1020	C₂³×C₄	—	13	2	no	—
1021	C₂³×C₄	—	26	16	no	—
1022	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
1023	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
1024	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
1025	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
1026	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1027	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1029	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1030	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1032	C₂³×C₄	C₂²×D₁₃	1	2	yes	complemented
1033	C₄⋊Q₈	—	13	4	no	—
1034	C₄⋊Q₈	—	13	16	no	—
1035	C₄⋊Q₈	—	13	4	no	—
1036	#127	—	13	16	no	—
1037	#127	—	13	4	no	—
1038	#127	—	13	4	no	—
1039	#124	—	13	4	no	—
1040	#124	—	13	4	no	—
1041	#124	—	13	16	no	—
1042	#124	—	13	16	no	—
1043	#124	—	13	4	no	—
1044	#124	—	13	4	no	—
1045	#123	—	13	8	no	—
1046	#123	—	13	4	no	—
1047	#123	—	13	4	no	—
1048	#123	—	13	8	no	—
1049	#123	—	13	8	no	—
1050	#123	—	13	16	no	—
1051	#123	—	13	16	no	—
1052	#123	—	13	8	no	—
1053	#123	—	13	16	no	—
1054	#123	—	13	16	no	—
1055	#123	—	13	8	no	—
1056	#123	C₂²×D₁₃	1	4	yes	—
1057	#123	C₂²×D₁₃	1	4	yes	—
1058	#123	C₂²×D₁₃	1	8	yes	complemented
1059	C₂²⋊Q₈	—	13	8	no	—
1060	C₂²⋊Q₈	—	13	4	no	—
1061	C₂²⋊Q₈	—	13	4	no	—
1062	C₂²⋊Q₈	—	13	4	no	—
1063	C₂²⋊Q₈	—	13	4	no	—
1064	C₂²⋊Q₈	—	13	8	no	—
1065	C₂²⋊Q₈	—	13	8	no	—
1066	C₂²⋊Q₈	—	13	16	no	—
1067	C₂²⋊Q₈	—	13	16	no	—
1068	C₂²⋊Q₈	—	13	8	no	—
1069	C₂²⋊Q₈	—	13	16	no	—
1070	C₂²⋊Q₈	—	13	16	no	—
1071	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	—
1072	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	—
1073	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1074	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1075	#121	—	13	8	no	—
1076	#121	—	13	16	no	—
1077	#121	—	13	16	no	—
1078	#121	—	13	16	no	—
1079	#121	—	13	16	no	—
1080	#121	—	13	4	no	—
1081	#121	—	13	4	no	—
1082	#121	—	13	4	no	—
1083	#121	—	13	4	no	—
1084	#121	—	13	8	no	—
1085	#121	—	13	16	no	—
1086	#121	—	13	8	no	—
1087	#121	—	13	8	no	—
1088	#121	—	13	16	no	—
1089	#121	—	13	16	no	—
1090	#121	—	13	16	no	—
1091	#121	—	13	16	no	—
1092	#121	—	13	16	no	—
1093	#121	C₂²×D₁₃	1	4	yes	—
1094	#121	C₂²×D₁₃	1	4	yes	—
1095	#121	C₂²×D₁₃	1	4	yes	complemented
1096	#121	C₂²×D₁₃	1	4	yes	complemented
1097	#120	—	13	4	no	—
1098	#120	—	13	4	no	—
1099	#120	—	13	8	no	—
1100	#120	—	13	8	no	—
1101	#120	—	13	8	no	—
1102	#120	—	13	16	no	—
1103	#120	—	13	16	no	—
1104	#120	—	13	8	no	—
1105	#120	—	13	16	no	—
1106	#120	—	13	16	no	—
1107	#120	—	13	8	no	—
1108	#120	C₂²×D₁₃	1	4	yes	—
1109	#120	C₂²×D₁₃	1	4	yes	—
1110	#120	C₂²×D₁₃	1	8	yes	—
1111	C₄×Q₈	—	13	8	no	—
1112	C₄×Q₈	—	13	8	no	—
1113	C₄×D₄	—	13	16	no	—
1114	C₄×D₄	—	13	8	no	—
1115	C₄×D₄	—	13	16	no	—
1116	C₄×D₄	—	13	8	no	—
1117	C₄×D₄	—	13	8	no	—
1118	C₄×D₄	—	13	8	no	—
1119	C₄×D₄	—	13	16	no	—
1120	C₄×D₄	—	13	16	no	—
1121	C₄×D₄	—	13	8	no	—
1122	C₄×D₄	—	13	16	no	—
1123	C₄×D₄	—	13	16	no	—
1124	C₄×D₄	—	13	16	no	—
1125	C₄×D₄	—	13	16	no	—
1126	C₄×D₄	—	13	8	no	—
1127	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1128	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1129	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1130	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1131	#117	—	13	2	no	—
1132	#117	—	13	2	no	—
1133	#117	—	13	2	no	—
1134	#117	—	13	2	no	—
1135	#117	—	13	8	no	—
1136	#117	—	13	8	no	—
1137	#117	—	13	8	no	—
1138	#117	C₂²×D₁₃	1	2	yes	—
1139	#117	C₂²×D₁₃	1	2	yes	—
1140	#117	C₂²×D₁₃	1	2	yes	complemented
1141	#117	C₂²×D₁₃	1	2	yes	complemented
1142	C₂×C₄⋊C₄	—	13	2	no	—
1143	C₂×C₄⋊C₄	—	13	4	no	—
1144	C₂×C₄⋊C₄	—	13	8	no	—
1145	C₂×C₄⋊C₄	—	13	16	no	—
1146	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
1147	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1148	C₂×C₂²⋊C₄	—	13	2	no	—
1149	C₂×C₂²⋊C₄	—	13	4	no	—
1150	C₂×C₂²⋊C₄	—	13	4	no	—
1151	C₂×C₂²⋊C₄	—	13	8	no	—
1152	C₂×C₂²⋊C₄	—	13	16	no	—
1153	C₂×C₂²⋊C₄	—	13	16	no	—
1154	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1155	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
1156	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1157	C₂×C₄²	—	13	2	no	—
1158	C₂×C₄²	—	13	8	no	—
1159	C₂×C₄²	C₂²×D₁₃	1	2	yes	complemented
1160	C₂×C₁₃	—	2	2	no	—
1161	C₂×C₁₃	—	2	4	no	—
1162	C₂×C₁₃	—	2	2	no	—
1163	C₂×C₁₃	—	2	2	no	—
1164	C₂×C₁₃	—	4	4	no	—
1165	C₂×C₁₃	—	4	2	no	—
1166	C₂×C₁₃	C₂⁴×D₄	1	1	yes	characteristic
1167	C₂×C₁₃	C₂×#585	1	2	yes	—
1168	D₁₃	—	2	8	no	—
1169	D₁₃	—	4	4	no	—
1170	D₁₃	—	4	4	no	—
1171	C₂⁴	—	2	4	no	—
1172	C₂⁴	—	4	4	no	—
1173	C₂⁴	—	13	2	no	—
1174	C₂⁴	—	13	8	no	—
1175	C₂⁴	—	13	8	no	—
1176	C₂⁴	—	13	2	no	—
1177	C₂⁴	—	13	2	no	—
1178	C₂⁴	—	26	8	no	—
1179	C₂⁴	—	52	8	no	—
1180	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1181	C₂⁴	C₂³×D₁₃	1	2	yes	—
1182	C₂⁴	C₂³×D₁₃	1	2	yes	—
1183	C₂⁴	C₂³×D₁₃	1	2	yes	—
1184	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1185	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1186	#41	—	2	8	no	—
1187	#41	—	2	8	no	—
1188	#41	—	2	8	no	—
1189	#41	—	2	8	no	—
1190	#41	—	13	16	no	—
1191	#41	—	13	16	no	—
1192	#41	—	13	16	no	—
1193	#41	—	13	16	no	—
1194	#41	—	26	32	no	—
1195	#41	—	26	32	no	—
1196	#41	—	26	32	no	—
1197	#41	—	26	32	no	—
1198	#41	—	26	32	no	—
1199	#41	—	26	16	no	—
1200	#41	—	26	16	no	—
1201	#41	—	26	32	no	—
1202	#41	—	26	16	no	—
1203	#41	—	26	16	no	—
1204	#41	—	26	16	no	—
1205	#41	—	26	16	no	—
1206	#41	—	26	32	no	—
1207	#41	—	26	16	no	—
1208	#41	—	26	16	no	—
1209	#41	—	26	32	no	—
1210	#41	—	26	16	no	—
1211	#41	—	26	16	no	—
1212	#41	—	26	8	no	—
1213	#41	—	26	8	no	—
1214	#41	—	26	8	no	—
1215	#41	—	26	8	no	—
1216	#41	—	26	8	no	—
1217	#41	—	26	8	no	—
1218	#41	—	26	8	no	—
1219	#41	—	26	8	no	—
1220	C₂×Q₈	—	2	4	no	—
1221	C₂×Q₈	—	13	8	no	—
1222	C₂×Q₈	—	13	2	no	—
1223	C₂×Q₈	—	13	2	no	—
1224	C₂×Q₈	—	13	2	no	—
1225	C₂×Q₈	—	13	8	no	—
1226	C₂×Q₈	—	13	8	no	—
1227	C₂×Q₈	—	13	2	no	—
1228	C₂×Q₈	—	13	2	no	—
1229	C₂×Q₈	—	13	2	no	—
1230	C₂×Q₈	—	26	8	no	—
1231	C₂×Q₈	—	26	16	no	—
1232	C₂×Q₈	—	26	16	no	—
1233	C₂×Q₈	—	26	16	no	—
1234	C₂×Q₈	—	26	16	no	—
1235	C₂×Q₈	—	26	16	no	—
1236	C₂×Q₈	—	26	4	no	—
1237	C₂×Q₈	—	26	4	no	—
1238	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1239	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1240	C₂×D₄	—	2	8	no	—
1241	C₂×D₄	—	2	4	no	—
1242	C₂×D₄	—	4	8	no	—
1243	C₂×D₄	—	13	16	no	—
1244	C₂×D₄	—	13	4	no	—
1245	C₂×D₄	—	13	4	no	—
1246	C₂×D₄	—	13	8	no	—
1247	C₂×D₄	—	13	4	no	—
1248	C₂×D₄	—	13	8	no	—
1249	C₂×D₄	—	13	8	no	—
1250	C₂×D₄	—	13	4	no	—
1251	C₂×D₄	—	13	4	no	—
1252	C₂×D₄	—	13	4	no	—
1253	C₂×D₄	—	13	8	no	—
1254	C₂×D₄	—	13	8	no	—
1255	C₂×D₄	—	13	16	no	—
1256	C₂×D₄	—	13	8	no	—
1257	C₂×D₄	—	13	8	no	—
1258	C₂×D₄	—	13	2	no	—
1259	C₂×D₄	—	13	2	no	—
1260	C₂×D₄	—	13	8	no	—
1261	C₂×D₄	—	13	8	no	—
1262	C₂×D₄	—	13	2	no	—
1263	C₂×D₄	—	13	2	no	—
1264	C₂×D₄	—	13	2	no	—
1265	C₂×D₄	—	13	2	no	—
1266	C₂×D₄	—	13	16	no	—
1267	C₂×D₄	—	26	16	no	—
1268	C₂×D₄	—	26	16	no	—
1269	C₂×D₄	—	26	16	no	—
1270	C₂×D₄	—	26	8	no	—
1271	C₂×D₄	—	26	16	no	—
1272	C₂×D₄	—	26	8	no	—
1273	C₂×D₄	—	26	32	no	—
1274	C₂×D₄	—	26	16	no	—
1275	C₂×D₄	—	26	32	no	—
1276	C₂×D₄	—	26	32	no	—
1277	C₂×D₄	—	26	32	no	—
1278	C₂×D₄	—	26	32	no	—
1279	C₂×D₄	—	26	8	no	—
1280	C₂×D₄	—	26	8	no	—
1281	C₂×D₄	—	26	8	no	—
1282	C₂×D₄	—	26	4	no	—
1283	C₂×D₄	—	26	4	no	—
1284	C₂×D₄	—	52	32	no	—
1285	C₂×D₄	—	52	8	no	—
1286	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1287	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1288	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1289	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1290	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1291	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1292	C₂²×C₄	—	2	4	no	—
1293	C₂²×C₄	—	2	4	no	—
1294	C₂²×C₄	—	2	4	no	—
1295	C₂²×C₄	—	2	4	no	—
1296	C₂²×C₄	—	2	4	no	—
1297	C₂²×C₄	—	2	8	no	—
1298	C₂²×C₄	—	2	8	no	—
1299	C₂²×C₄	—	2	8	no	—
1300	C₂²×C₄	—	2	8	no	—
1301	C₂²×C₄	—	2	8	no	—
1302	C₂²×C₄	—	13	2	no	—
1303	C₂²×C₄	—	13	16	no	—
1304	C₂²×C₄	—	13	4	no	—
1305	C₂²×C₄	—	13	4	no	—
1306	C₂²×C₄	—	13	2	no	—
1307	C₂²×C₄	—	13	8	no	—
1308	C₂²×C₄	—	13	8	no	—
1309	C₂²×C₄	—	13	2	no	—
1310	C₂²×C₄	—	13	4	no	—
1311	C₂²×C₄	—	13	8	no	—
1312	C₂²×C₄	—	13	8	no	—
1313	C₂²×C₄	—	13	8	no	—
1314	C₂²×C₄	—	13	8	no	—
1315	C₂²×C₄	—	13	4	no	—
1316	C₂²×C₄	—	13	4	no	—
1317	C₂²×C₄	—	13	4	no	—
1318	C₂²×C₄	—	13	4	no	—
1319	C₂²×C₄	—	13	16	no	—
1320	C₂²×C₄	—	26	8	no	—
1321	C₂²×C₄	—	26	32	no	—
1322	C₂²×C₄	—	26	32	no	—
1323	C₂²×C₄	—	26	32	no	—
1324	C₂²×C₄	—	26	8	no	—
1325	C₂²×C₄	—	26	8	no	—
1326	C₂²×C₄	—	26	8	no	—
1327	C₂²×C₄	—	26	8	no	—
1328	C₂²×C₄	D₄×D₁₃	1	8	yes	complemented
1329	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1330	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1331	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1332	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1333	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1334	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1335	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1336	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1337	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1338	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1339	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1340	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1341	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1342	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1343	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1344	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1345	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1346	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1347	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1349	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1350	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1351	C₄⋊C₄	—	13	4	no	—
1352	C₄⋊C₄	—	13	8	no	—
1353	C₄⋊C₄	—	13	16	no	—
1354	C₄⋊C₄	—	13	4	no	—
1355	C₄⋊C₄	—	13	16	no	—
1356	C₄⋊C₄	—	13	8	no	—
1357	C₄⋊C₄	—	13	16	no	—
1358	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1359	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1360	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1361	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1362	C₂²⋊C₄	—	13	4	no	—
1363	C₂²⋊C₄	—	13	8	no	—
1364	C₂²⋊C₄	—	13	4	no	—
1365	C₂²⋊C₄	—	13	16	no	—
1366	C₂²⋊C₄	—	13	8	no	—
1367	C₂²⋊C₄	—	13	8	no	—
1368	C₂²⋊C₄	—	13	16	no	—
1369	C₂²⋊C₄	—	13	16	no	—
1370	C₂²⋊C₄	—	13	8	no	—
1371	C₂²⋊C₄	—	13	16	no	—
1372	C₂²⋊C₄	—	13	16	no	—
1373	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1374	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1375	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1376	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1377	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1378	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1379	C₄²	—	13	16	no	—
1380	C₄²	—	13	4	no	—
1381	C₄²	—	13	4	no	—
1382	C₄²	C₂³×D₁₃	1	4	yes	—
1383	C₄²	C₂³×D₁₃	1	4	yes	—
1384	C₁₃	#62811	1	1	yes	characteristic, complemented, Sylow
1385	C₂³	—	2	2	no	—
1386	C₂³	—	2	4	no	—
1387	C₂³	—	2	4	no	—
1388	C₂³	—	2	4	no	—
1389	C₂³	—	2	2	no	—
1390	C₂³	—	2	4	no	—
1391	C₂³	—	2	4	no	—
1392	C₂³	—	2	4	no	—
1393	C₂³	—	4	2	no	—
1394	C₂³	—	4	2	no	—
1395	C₂³	—	4	2	no	—
1396	C₂³	—	4	2	no	—
1397	C₂³	—	4	4	no	—
1398	C₂³	—	4	16	no	—
1399	C₂³	—	13	4	no	—
1400	C₂³	—	13	8	no	—
1401	C₂³	—	13	4	no	—
1402	C₂³	—	13	4	no	—
1403	C₂³	—	26	16	no	—
1404	C₂³	—	26	16	no	—
1405	C₂³	—	26	4	no	—
1406	C₂³	—	26	16	no	—
1407	C₂³	—	26	4	no	—
1408	C₂³	—	52	4	no	—
1409	C₂³	—	52	8	no	—
1410	C₂³	—	52	4	no	—
1411	C₂³	—	52	4	no	—
1412	C₂³	—	52	16	no	—
1413	C₂³	—	52	32	no	—
1414	C₂³	C₂×D₄×D₁₃	1	4	yes	—
1415	C₂³	C₂⁴×D₁₃	1	4	yes	—
1416	C₂³	C₂⁴×D₁₃	1	2	yes	—
1417	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1418	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1419	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1420	C₂³	C₂⁴×D₁₃	1	2	yes	—
1421	Q₈	—	2	4	no	—
1422	Q₈	—	2	4	no	—
1423	Q₈	—	13	8	no	—
1424	Q₈	—	13	8	no	—
1425	Q₈	—	26	16	no	—
1426	Q₈	—	26	16	no	—
1427	Q₈	—	26	4	no	—
1428	Q₈	—	26	4	no	—
1429	Q₈	—	26	4	no	—
1430	Q₈	—	26	4	no	—
1431	D₄	—	2	8	no	—
1432	D₄	—	2	8	no	—
1433	D₄	—	2	16	no	—
1434	D₄	—	2	4	no	—
1435	D₄	—	2	4	no	—
1436	D₄	—	4	8	no	—
1437	D₄	—	13	16	no	—
1438	D₄	—	13	16	no	—
1439	D₄	—	13	8	no	—
1440	D₄	—	13	8	no	—
1441	D₄	—	26	16	no	—
1442	D₄	—	26	16	no	—
1443	D₄	—	26	16	no	—
1444	D₄	—	26	16	no	—
1445	D₄	—	26	16	no	—
1446	D₄	—	26	16	no	—
1447	D₄	—	26	8	no	—
1448	D₄	—	26	8	no	—
1449	D₄	—	26	8	no	—
1450	D₄	—	26	8	no	—
1451	D₄	—	26	16	no	—
1452	D₄	—	26	4	no	—
1453	D₄	—	26	4	no	—
1454	D₄	—	26	4	no	—
1455	D₄	—	26	4	no	—
1456	D₄	—	52	16	no	—
1457	D₄	—	52	16	no	—
1458	D₄	—	52	8	no	—
1459	C₂×C₄	—	2	2	no	—
1460	C₂×C₄	—	2	2	no	—
1461	C₂×C₄	—	2	4	no	—
1462	C₂×C₄	—	2	4	no	—
1463	C₂×C₄	—	2	4	no	—
1464	C₂×C₄	—	2	4	no	—
1465	C₂×C₄	—	2	4	no	—
1466	C₂×C₄	—	2	4	no	—
1467	C₂×C₄	—	2	4	no	—
1468	C₂×C₄	—	2	4	no	—
1469	C₂×C₄	—	2	4	no	—
1470	C₂×C₄	—	2	4	no	—
1471	C₂×C₄	—	2	4	no	—
1472	C₂×C₄	—	2	8	no	—
1473	C₂×C₄	—	2	8	no	—
1474	C₂×C₄	—	4	4	no	—
1475	C₂×C₄	—	13	8	no	—
1476	C₂×C₄	—	13	4	no	—
1477	C₂×C₄	—	13	16	no	—
1478	C₂×C₄	—	13	16	no	—
1479	C₂×C₄	—	13	8	no	—
1480	C₂×C₄	—	13	4	no	—
1481	C₂×C₄	—	13	4	no	—
1482	C₂×C₄	—	26	16	no	—
1483	C₂×C₄	—	26	16	no	—
1484	C₂×C₄	—	26	16	no	—
1485	C₂×C₄	—	26	16	no	—
1486	C₂×C₄	—	26	16	no	—
1487	C₂×C₄	—	26	16	no	—
1488	C₂×C₄	—	26	4	no	—
1489	C₂×C₄	—	26	4	no	—
1490	C₂×C₄	—	26	8	no	—
1491	C₂×C₄	—	26	8	no	—
1492	C₂×C₄	—	26	8	no	—
1493	C₂×C₄	—	26	8	no	—
1494	C₂×C₄	—	52	16	no	—
1495	C₂×C₄	—	52	4	no	—
1496	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
1497	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
1498	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
1499	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
1500	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
1501	C₂×C₄	C₂×D₄×D₁₃	1	4	yes	—
1502	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1503	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1504	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1505	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1506	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1507	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1508	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1509	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1510	C₂²	—	2	8	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	2	2	no	—
1514	C₂²	—	2	2	no	—
1515	C₂²	—	2	2	no	—
1516	C₂²	—	2	2	no	—
1517	C₂²	—	2	4	no	—
1518	C₂²	—	2	8	no	—
1519	C₂²	—	2	2	no	—
1520	C₂²	—	2	2	no	—
1521	C₂²	—	4	4	no	—
1522	C₂²	—	4	8	no	—
1523	C₂²	—	4	8	no	—
1524	C₂²	—	4	4	no	—
1525	C₂²	—	8	4	no	—
1526	C₂²	—	13	8	no	—
1527	C₂²	—	26	8	no	—
1528	C₂²	—	26	4	no	—
1529	C₂²	—	26	4	no	—
1530	C₂²	—	26	8	no	—
1531	C₂²	—	26	8	no	—
1532	C₂²	—	52	8	no	—
1533	C₂²	—	52	32	no	—
1534	C₂²	—	52	8	no	—
1535	C₂²	—	104	4	no	—
1536	C₂²	—	104	16	no	—
1537	C₂²	C₂²×D₄×D₁₃	1	2	yes	—
1538	C₂²	C₂²×D₄×D₁₃	1	2	yes	—
1539	C₂²	C₂²×D₄×D₁₃	1	2	yes	—
1540	C₂²	#11719648	1	4	yes	complemented
1541	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1542	C₄	—	2	2	no	—
1543	C₄	—	2	2	no	—
1544	C₄	—	2	4	no	—
1545	C₄	—	2	8	no	—
1546	C₄	—	13	8	no	—
1547	C₄	—	26	4	no	—
1548	C₄	—	26	4	no	—
1549	C₄	—	26	8	no	—
1550	C₄	C₂²×D₄×D₁₃	1	2	yes	—
1551	C₄	C₂²×D₄×D₁₃	1	2	yes	—
1552	C₄	C₂²×D₄×D₁₃	1	2	yes	—
1553	C₄	C₂²×D₄×D₁₃	1	2	yes	—
1554	C₂	—	2	2	no	—
1555	C₂	—	2	4	no	—
1556	C₂	—	2	2	no	—
1557	C₂	—	2	2	no	—
1558	C₂	—	4	2	no	—
1559	C₂	—	4	4	no	—
1560	C₂	—	26	8	no	—
1561	C₂	—	52	4	no	—
1562	C₂	—	52	4	no	—
1563	C₂	C₂³×D₄×D₁₃	1	1	yes	characteristic
1564	C₂	C₂×#11719648	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#525	C₂
hypercenter	C₂×#525	D₁₃
hypocenter	C₁₃	#62811
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. C₂×#11719648	C₂	semidirect
2. C₂³×#6127	C₂	semidirect
3. #13128512	C₂	semidirect
4. #13128508	C₂	semidirect
5. #13128501	C₂	semidirect
6. #13128497	C₂	semidirect
7. #13128490	C₂	semidirect
8. #13128483	C₂	semidirect
9. #13128478	C₂	semidirect
10. #13128474	C₂	semidirect
11. #13128469	C₂	semidirect
12. #13128465	C₂	semidirect
13. D₄×#6127	C₂	semidirect
14. #13128319	C₂	semidirect
15. #13128169	C₂	semidirect
16. #13128166	C₂	semidirect
17. #13128165	C₂	semidirect
18. C₂×#11719496	C₂	semidirect
19. D₁₃×#525	C₂	semidirect
20. #13128037	C₂	semidirect
21. C₂×C₁₃×#525	C₂	semidirect
22. C₂²×C₁₃×#41	C₂²	semidirect
23. C₂⁴×C₄×C₁₃	C₂²	semidirect
24. C₂³×C₂²⋊D₁₃	C₂²	semidirect
26. C₂×#88257	C₂²	semidirect
27. C₂×#88257	C₂²	semidirect
28. C₂×#88256	C₂²	semidirect
29. C₂×#88256	C₂²	semidirect
30. C₂×#41×D₁₃	C₂²	semidirect
31. C₂×#41×D₁₃	C₂²	semidirect
32. C₂×#88254	C₂²	semidirect
33. C₂×#88251	C₂²	semidirect
34. C₂×#88251	C₂²	semidirect
37. C₂²×#6127	C₂²	semidirect
38. C₂²×#6127	C₂²	semidirect
39. C₂²×#6127	C₂²	semidirect
40. C₂²×#6127	C₂²	semidirect
41. C₂²×#6127	C₂²	semidirect
42. C₂²×#6127	C₂²	semidirect
43. C₂²×#6127	C₂²	semidirect
44. C₂²×#6127	C₂²	semidirect
45. C₂²×#6127	C₂²	semidirect
46. C₂²×#6127	C₂²	semidirect
47. C₂²×#6127	C₂²	semidirect
48. C₂³×D₅₂	C₂²	semidirect
49. C₂³×C₄×D₁₃	C₂²	semidirect
50. C₂³×Dic₂₆	C₂²	semidirect
51. C₁₃×#525	C₂²	semidirect
52. C₁₃×#525	C₂²	semidirect
53. C₁₃×#525	C₂²	semidirect
54. C₁₃×#525	C₂²	semidirect
55. C₁₃×#525	C₂²	semidirect
56. C₁₃×#525	C₂²	semidirect
57. C₂×C₁₃×#123	C₂²	semidirect
58. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
59. C₂×C₁₃×#121	C₂²	semidirect
60. C₂×C₁₃×#120	C₂²	semidirect
61. C₂×C₄×D₄×C₁₃	C₂²	semidirect
62. C₂×C₁₃×#117	C₂²	semidirect
63. C₂×#88207	C₂²	semidirect
64. #11719538	C₂²	semidirect
65. #11719537	C₂²	semidirect
66. #11719535	C₂²	semidirect
67. #11719533	C₂²	semidirect
68. #11719530	C₂²	semidirect
69. #11719521	C₂²	semidirect
70. #11719510	C₂²	semidirect
71. #11719509	C₂²	semidirect
72. D₄×C₂²⋊D₁₃	C₂²	semidirect
73. #11719496	C₂²	semidirect
74. #11719496	C₂²	semidirect
75. #11719496	C₂²	semidirect
76. #11719496	C₂²	semidirect
77. #11719496	C₂²	semidirect
78. #11719496	C₂²	semidirect
79. #11719496	C₂²	semidirect
80. C₂×#88184	C₂²	semidirect
81. C₂×#88183	C₂²	semidirect
82. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
83. C₂×#88180	C₂²	semidirect
84. C₂×#88178	C₂²	semidirect
85. #11719361	C₂²	semidirect
86. #11719360	C₂²	semidirect
87. #11719359	C₂²	semidirect
88. #11719358	C₂²	semidirect
89. D₁₃×#123	C₂²	semidirect
90. #11719353	C₂²	semidirect
91. #11719338	C₂²	semidirect
92. #11719337	C₂²	semidirect
93. #11719336	C₂²	semidirect
94. #11719335	C₂²	semidirect
95. #11719334	C₂²	semidirect
96. #11719333	C₂²	semidirect
97. #11719332	C₂²	semidirect
98. D₁₃×C₂²⋊Q₈	C₂²	semidirect
99. #11719317	C₂²	semidirect
100. #11719314	C₂²	semidirect
101. #11719313	C₂²	semidirect
102. #11719312	C₂²	semidirect
103. #11719311	C₂²	semidirect
104. D₁₃×#121	C₂²	semidirect
105. #11719304	C₂²	semidirect
106. #11719303	C₂²	semidirect
107. #11719297	C₂²	semidirect
108. #11719296	C₂²	semidirect
109. #11719295	C₂²	semidirect
110. #11719294	C₂²	semidirect
111. D₁₃×#120	C₂²	semidirect
112. #11719291	C₂²	semidirect
113. #11719258	C₂²	semidirect
114. #11719257	C₂²	semidirect
115. #11719257	C₂²	semidirect
116. #11719256	C₂²	semidirect
117. #11719255	C₂²	semidirect
118. #11719255	C₂²	semidirect
119. D₄×D₅₂	C₂²	semidirect
120. #11719253	C₂²	semidirect
121. #11719252	C₂²	semidirect
122. #11719252	C₂²	semidirect
123. C₄×D₄×D₁₃	C₂²	semidirect
124. D₄×Dic₂₆	C₂²	semidirect
125. #11719231	C₂²	semidirect
126. #11719231	C₂²	semidirect
127. #11719230	C₂²	semidirect
128. #11719230	C₂²	semidirect
129. #11719229	C₂²	semidirect
130. #11719229	C₂²	semidirect
131. #11719228	C₂²	semidirect
132. #11719227	C₂²	semidirect
133. #11719226	C₂²	semidirect
134. D₁₃×#117	C₂²	semidirect
135. #11719221	C₂²	semidirect
136. #11719215	C₂²	semidirect
137. #11719212	C₂²	semidirect
138. #11719209	C₂²	semidirect
139. #11719198	C₂²	semidirect
140. #11719195	C₂²	semidirect
141. #11719195	C₂²	semidirect
142. #11719191	C₂²	semidirect
143. #11719182	C₂²	semidirect
144. C₄×#6127	C₂²	semidirect
150. C₂×C₁₃×#41	C₂³	semidirect
151. C₂×C₁₃×#41	C₂³	semidirect
152. C₂²×Q₈×C₁₃	C₂³	semidirect
155. C₂²×D₄×C₁₃	C₂³	semidirect
167. C₂³×C₄×C₁₃	C₂³	semidirect
177. C₂²×C₂²⋊D₁₃	C₂³	semidirect
186. C₂×#6131	C₂³	semidirect
187. C₂×#6131	C₂³	semidirect
188. C₂×Q₈×D₁₃	C₂³	semidirect
189. C₂×Q₈×D₁₃	C₂³	semidirect
193. C₂×#6129	C₂³	semidirect
194. C₂×#6129	C₂³	semidirect
195. C₂×#6129	C₂³	semidirect
198. C₂×D₄×D₁₃	C₂³	semidirect
199. C₂×D₄×D₁₃	C₂³	semidirect
200. C₂×D₄×D₁₃	C₂³	semidirect
212. C₂×#6127	D₄	semidirect
231. C₂×#6127	C₂³	semidirect
232. C₂×#6127	C₂³	semidirect
233. C₂×#6127	C₂³	semidirect
234. C₂×#6127	C₂³	semidirect
235. C₂×#6127	C₂³	semidirect
236. C₂×#6127	C₂³	semidirect
243. C₂²×D₅₂	C₂³	semidirect
244. C₂²×D₅₂	C₂³	semidirect
252. C₂²×C₄×D₁₃	C₂³	semidirect
253. C₂²×C₄×D₁₃	C₂³	semidirect
260. C₂²×Dic₂₆	C₂³	semidirect
261. C₂²×Dic₂₆	C₂³	semidirect
264. C₁₃×#123	C₂³	semidirect
267. C₁₃×C₂²⋊Q₈	C₂³	semidirect
268. C₁₃×C₂²⋊Q₈	C₂³	semidirect
271. C₁₃×#121	C₂³	semidirect
272. C₁₃×#121	C₂³	semidirect
278. C₄×D₄×C₁₃	C₂³	semidirect
279. C₄×D₄×C₁₃	C₂³	semidirect
282. C₁₃×#117	C₂³	semidirect
283. C₁₃×#117	C₂³	semidirect
284. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
285. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
288. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
289. C₂×C₄²×C₁₃	C₂³	semidirect
293. #88207	C₂³	semidirect
296. #88201	C₂³	semidirect
297. #88200	C₂³	semidirect
298. #88198	C₂³	semidirect
299. #88194	C₂³	semidirect
300. #88194	C₂³	semidirect
302. #88193	C₂³	semidirect
303. #88193	C₂³	semidirect
304. #88192	C₂³	semidirect
305. #88192	C₂³	semidirect
308. #88191	C₂³	semidirect
309. #88190	C₂³	semidirect
314. #88184	C₂³	semidirect
315. #88184	C₂³	semidirect
316. #88184	C₂³	semidirect
317. #88184	C₂³	semidirect
320. #88183	C₂³	semidirect
321. #88183	C₂³	semidirect
324. C₄×C₂²⋊D₁₃	C₂³	semidirect
325. C₄×C₂²⋊D₁₃	C₂³	semidirect
326. C₄×C₂²⋊D₁₃	C₂³	semidirect
327. C₄×C₂²⋊D₁₃	C₂³	semidirect
328. C₂×#6103	C₂³	semidirect
331. #88180	C₂³	semidirect
332. #88180	C₂³	semidirect
333. C₂×C₄⋊Dic₁₃	C₂³	semidirect
336. #88178	C₂³	semidirect
337. #88178	C₂³	semidirect
338. #88178	C₂³	semidirect
339. C₂×#6101	C₂³	semidirect
340. C₂×C₄×Dic₁₃	C₂³	semidirect
341. #88151	C₂³	semidirect
342. #88151	C₂³	semidirect
343. #88150	C₂³	semidirect
344. #88150	C₂³	semidirect
345. #88149	C₂³	semidirect
346. #88149	C₂³	semidirect
347. #88149	C₂³	semidirect
348. #88148	C₂³	semidirect
349. #88148	C₂³	semidirect
350. #88147	C₂³	semidirect
351. #88147	C₂³	semidirect
352. #88146	C₂³	semidirect
353. C₄⋊C₄×D₁₃	C₂³	semidirect
354. C₄⋊C₄×D₁₃	C₂³	semidirect
355. #88142	C₂³	semidirect
356. #88141	C₂³	semidirect
358. #88140	C₂³	semidirect
359. #88139	C₂³	semidirect
360. #88139	C₂³	semidirect
361. #88138	C₂³	semidirect
362. #88138	C₂³	semidirect
363. #88138	C₂³	semidirect
364. #88138	C₂³	semidirect
365. #88137	C₂³	semidirect
366. #88137	C₂³	semidirect
369. #88136	C₂³	semidirect
370. #88136	C₂³	semidirect
372. #88135	C₂³	semidirect
373. #88135	C₂³	semidirect
376. C₂²⋊C₄×D₁₃	C₂³	semidirect
378. #88132	C₂³	semidirect
380. #88129	C₂³	semidirect
381. #88129	C₂³	semidirect
382. #88128	C₂³	semidirect
383. C₄×D₅₂	C₂³	semidirect
384. C₄×D₅₂	C₂³	semidirect
385. #88126	C₂³	semidirect
386. C₄²×D₁₃	C₂³	semidirect
387. #88123	C₂³	semidirect
388. C₄×Dic₂₆	C₂³	semidirect
431. C₂²×C₄×C₁₃	C₂×D₄	semidirect
462. C₂×C₂²⋊D₁₃	C₂×D₄	semidirect
516. #6127	C₂×D₄	semidirect
517. #6127	C₂×D₄	semidirect
518. #6127	C₂×D₄	semidirect
519. #6127	C₂×D₄	semidirect
526. C₂×D₅₂	C₂×D₄	semidirect
543. C₂×C₄×D₁₃	C₂×D₄	semidirect
561. C₂×Dic₂₆	C₂×D₄	semidirect
622. C₂×#525	D₁₃	semidirect
772. C₂²×#41	C₂×D₁₃	semidirect
777. C₂⁴×C₄	C₂×D₁₃	semidirect
841. #525	C₂×D₁₃	semidirect
842. #525	C₂×D₁₃	semidirect
843. #525	C₂×D₁₃	semidirect
844. #525	C₂×D₁₃	semidirect
845. #525	C₂×D₁₃	semidirect
846. #525	C₂×D₁₃	semidirect
849. C₂×#123	C₂×D₁₃	semidirect
852. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
855. C₂×#121	C₂×D₁₃	semidirect
858. C₂×#120	C₂×D₁₃	semidirect
868. C₂×C₄×D₄	C₂×D₁₃	semidirect
871. C₂×#117	C₂×D₁₃	semidirect
891. C₂²×C₁₃	#585	semidirect
972. C₂×#41	C₂²×D₁₃	semidirect
973. C₂×#41	C₂²×D₁₃	semidirect
984. C₂²×Q₈	C₂²×D₁₃	semidirect
1010. C₂²×D₄	C₂²×D₁₃	semidirect
1032. C₂³×C₄	C₂²×D₁₃	semidirect
1058. #123	C₂²×D₁₃	semidirect
1073. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1074. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1095. #121	C₂²×D₁₃	semidirect
1096. #121	C₂²×D₁₃	semidirect
1129. C₄×D₄	C₂²×D₁₃	semidirect
1130. C₄×D₄	C₂²×D₁₃	semidirect
1140. #117	C₂²×D₁₃	semidirect
1141. #117	C₂²×D₁₃	semidirect
1146. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1147. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1156. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1159. C₂×C₄²	C₂²×D₁₃	semidirect
1328. C₂²×C₄	D₄×D₁₃	semidirect
1384. C₁₃	#62811	semidirect
1540. C₂²	#11719648	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719648	2
C₂³×#6127	2
#13128512	2
#13128508	2
#13128501	2
#13128497	2
#13128490	2
#13128483	2
#13128478	2
#13128474	2
#13128469	2
#13128465	2
D₄×#6127	2
#13128319	2
#13128169	2
#13128166	2
#13128165	2
C₂×#11719496	2
D₁₃×#525	2
#13128037	2
C₂×C₁₃×#525	2
#62811	13