Subgroups — #14219761

Order 1792.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11742911	C₂	1	1	yes	maximal, characteristic
2	C₇×#2965	C₂	1	1	yes	maximal, characteristic, complemented
3	#11739967	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737394	C₂	1	2	yes	maximal, complemented
5	#11737385	C₂	1	2	yes	maximal, complemented
6	#11736990	C₂	1	2	yes	maximal, complemented
7	#11736982	C₂	1	2	yes	maximal, complemented
8	#11736932	C₂	1	2	yes	maximal, complemented
9	#11736930	C₂	1	2	yes	maximal, complemented
10	#11736928	C₂	1	2	yes	maximal, complemented
11	#11736926	C₂	1	2	yes	maximal, complemented
12	#11736741	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736740	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736737	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736735	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736733	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736732	C₂	1	1	yes	maximal, characteristic, complemented
18	#11735967	C₂	1	1	yes	maximal, characteristic, complemented
19	M₁₆×D₂₈	C₂	1	1	yes	maximal, characteristic, complemented
20	#11735957	C₂	1	1	yes	maximal, characteristic, complemented
21	#11735956	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#89460	C₂	1	1	yes	maximal, characteristic, complemented
23	#11735893	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₇×#41	C₂²	1	1	yes	characteristic
25	#90520	C₄	1	2	yes	—
26	C₂×#6470	C₂²	1	2	yes	complemented
27	C₂×D₇×M₁₆	C₂²	1	2	yes	complemented
28	C₂²×#1131	C₂²	1	2	yes	complemented
29	#90276	C₄	1	1	yes	characteristic
30	#90271	C₂²	1	2	yes	—
31	#90270	C₄	1	1	yes	characteristic
32	#90256	C₄	1	1	yes	characteristic
33	#90256	C₄	1	1	yes	characteristic
34	#90241	C₄	1	1	yes	characteristic
35	#90241	C₄	1	1	yes	characteristic
36	D₄×D₂₈	C₄	1	1	yes	characteristic
37	#90238	C₂²	1	2	yes	—
38	#90238	C₂²	1	2	yes	—
39	C₄×D₄×D₇	C₂²	1	2	yes	—
40	#90234	C₄	1	1	yes	characteristic
41	#90221	C₄	1	2	yes	—
42	#90218	C₄	1	2	yes	—
43	#90218	C₄	1	2	yes	—
44	#90170	C₂²	1	1	yes	characteristic
45	#90170	C₂²	1	1	yes	characteristic
46	#90168	C₂²	1	1	yes	characteristic
47	C₄×#1157	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
50	C₇×#446	C₂²	1	1	yes	characteristic, complemented
51	C₇×#446	C₂²	1	1	yes	characteristic, complemented
52	C₇×#436	C₂²	1	1	yes	characteristic, complemented
53	C₇×#436	C₂²	1	1	yes	characteristic, complemented
54	C₇×#435	C₂²	1	1	yes	characteristic
55	C₇×#435	C₂²	1	1	yes	characteristic
56	C₇×#435	C₂²	1	1	yes	characteristic, complemented
57	C₇×#435	C₂²	1	1	yes	characteristic, complemented
58	C₇×#431	C₂²	1	1	yes	characteristic, complemented
59	C₇×#431	C₂²	1	1	yes	characteristic, complemented
60	C₇×#431	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
62	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic, complemented
64	#89901	C₂²	1	2	yes	complemented
65	#89900	C₂²	1	2	yes	complemented
66	#89900	C₂²	1	2	yes	complemented
67	#89900	C₂²	1	2	yes	complemented
68	#89899	C₂²	1	2	yes	complemented
69	#89898	C₂²	1	2	yes	complemented
70	#89883	C₂²	1	2	yes	complemented
71	C₈×C₂²⋊D₇	C₂²	1	2	yes	complemented
72	C₂×(C₂×D₇)⋊C₈	C₂²	1	2	yes	complemented
73	#89796	C₂²	1	2	yes	complemented
74	#89783	C₂²	1	2	yes	—
75	#89783	C₂²	1	2	yes	complemented
76	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
77	#89698	C₂²	1	1	yes	characteristic, complemented
78	#89698	C₂²	1	1	yes	characteristic, complemented
79	#89697	C₂²	1	1	yes	characteristic, complemented
80	#89696	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
83	#89612	C₂²	1	2	yes	complemented
84	#89612	C₂²	1	2	yes	complemented
85	#89611	C₂²	1	2	yes	complemented
86	#89611	C₂²	1	2	yes	complemented
87	#89610	C₂²	1	2	yes	complemented
88	#89610	C₂²	1	2	yes	complemented
89	#89609	C₂²	1	2	yes	complemented
90	#89608	C₂²	1	2	yes	complemented
91	#89608	C₂²	1	2	yes	complemented
92	#89608	C₂²	1	2	yes	complemented
93	#89608	C₂²	1	2	yes	complemented
94	#89607	C₂²	1	2	yes	complemented
95	#89502	C₂²	1	2	yes	complemented
96	#89502	C₂²	1	2	yes	complemented
97	#89502	C₂²	1	2	yes	complemented
98	#89501	C₂²	1	2	yes	complemented
99	#89500	C₂²	1	2	yes	complemented
100	#89499	C₂²	1	2	yes	complemented
101	#89499	C₂²	1	2	yes	complemented
102	#89498	C₂²	1	2	yes	complemented
103	#89498	C₂²	1	2	yes	complemented
104	#89498	C₂²	1	2	yes	complemented
105	(C₂²⋊D₇)⋊C₈	C₂²	1	2	yes	complemented
106	D₇×C₂²⋊C₈	C₂²	1	2	yes	complemented
107	#89481	C₂²	1	2	yes	complemented
108	#89480	C₂²	1	2	yes	complemented
109	#89479	C₂²	1	2	yes	complemented
110	#89478	C₂²	1	2	yes	complemented
111	#89478	C₂²	1	2	yes	complemented
112	#89478	C₂²	1	2	yes	complemented
113	#89478	C₂²	1	2	yes	complemented
114	#89477	C₂²	1	2	yes	complemented
115	#89462	C₂²	1	2	yes	complemented
116	#89461	C₂²	1	2	yes	complemented
117	#89460	C₂²	1	1	yes	characteristic
118	#89460	C₂²	1	1	yes	characteristic
119	#89460	C₂²	1	1	yes	characteristic
120	#89460	C₂²	1	1	yes	characteristic
121	#89460	C₂²	1	2	yes	complemented
122	#89460	C₂²	1	2	yes	complemented
123	#89460	C₂²	1	1	yes	characteristic, complemented
124	#89460	C₂²	1	1	yes	characteristic, complemented
125	#89460	C₂²	1	1	yes	characteristic, complemented
126	#89460	C₂²	1	1	yes	characteristic, complemented
127	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
128	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
129	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
130	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
131	#89451	C₂²	1	1	yes	characteristic, complemented
132	#89451	C₂²	1	1	yes	characteristic, complemented
133	C₈×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
134	C₈×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
135	#60324	—	7	1	no	maximal, Sylow
136	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
137	C₂×D₄×D₇	C₂×C₄	1	2	yes	—
138	C₂×#1157	C₂×C₄	1	1	yes	characteristic
139	C₂×#1157	C₂³	1	2	yes	—
140	C₂²×D₂₈	C₂×C₄	1	1	yes	characteristic
141	C₂²×D₂₈	C₂×C₄	1	1	yes	characteristic
142	C₂²×C₄×D₇	C₂³	1	2	yes	—
143	C₂²×C₄×D₇	C₂³	1	2	yes	—
144	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
148	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
149	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
150	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
151	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
152	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
153	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
154	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
155	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
156	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
157	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
158	C₇×#117	C₂×C₄	1	1	yes	characteristic
159	C₇×#117	C₂×C₄	1	1	yes	characteristic
160	C₇×#117	C₂×C₄	1	1	yes	characteristic
161	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
162	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
163	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
164	#6510	C₂×C₄	1	2	yes	—
165	#6509	C₂×C₄	1	2	yes	—
166	#6502	C₂×C₄	1	2	yes	—
167	#6502	C₂×C₄	1	2	yes	—
168	#6500	C₂×C₄	1	2	yes	—
169	#6500	C₂×C₄	1	2	yes	—
170	D₄×Dic₇	C₂×C₄	1	2	yes	—
171	#6493	C₂×C₄	1	2	yes	—
172	#6493	C₂×C₄	1	1	yes	characteristic
173	#6493	C₂×C₄	1	1	yes	characteristic
174	#6493	C₂×C₄	1	1	yes	characteristic
175	#6493	C₂×C₄	1	1	yes	characteristic
176	#6492	C₂×C₄	1	2	yes	—
177	#6492	C₂×C₄	1	2	yes	—
178	C₄×C₂²⋊D₇	C₂×C₄	1	2	yes	—
179	C₄×C₂²⋊D₇	C₂³	1	2	yes	—
180	C₄×C₂²⋊D₇	C₂³	1	2	yes	—
181	C₄×C₂²⋊D₇	C₂³	1	2	yes	—
182	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	2	yes	—
183	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	2	yes	—
184	#6489	C₂×C₄	1	1	yes	characteristic
185	C₂×C₄⋊Dic₇	C₂×C₄	1	1	yes	characteristic
186	C₂×C₄⋊Dic₇	C₂×C₄	1	1	yes	characteristic
187	#6487	C₂×C₄	1	1	yes	characteristic
188	#6487	C₂×C₄	1	1	yes	characteristic
189	C₂×#1136	C₂³	1	2	yes	—
190	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
191	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
192	#6470	—	4	4	no	—
193	D₇×M₁₆	—	4	4	no	—
194	C₂×#1131	—	4	4	no	—
195	C₂×#1131	C₂³	1	2	yes	—
196	C₂×#1131	C₂³	1	2	yes	—
197	C₂×#1131	C₂³	1	2	yes	—
198	C₂×#1131	C₂³	1	2	yes	—
199	C₂×#1131	C₂³	1	2	yes	—
200	C₂×#1131	C₂³	1	2	yes	—
201	C₂×#1131	C₂³	1	2	yes	—
202	C₂×#1131	C₂³	1	2	yes	—
203	C₂×C₈×D₇	C₂³	1	2	yes	—
204	C₂×C₈×D₇	C₂³	1	2	yes	—
205	C₂×C₈×D₇	C₂³	1	2	yes	—
206	C₂×C₈×D₇	C₂³	1	2	yes	—
207	#6461	C₂×C₄	1	2	yes	—
208	#6461	C₂×C₄	1	2	yes	—
209	#6459	C₂×C₄	1	2	yes	—
210	#6459	C₂×C₄	1	2	yes	—
211	#6458	C₂×C₄	1	2	yes	—
212	#6457	C₂×C₄	1	2	yes	—
213	#6457	C₂×C₄	1	2	yes	—
214	#6457	C₂×C₄	1	2	yes	—
215	#6457	C₂×C₄	1	2	yes	—
216	#6456	C₂×C₄	1	2	yes	—
217	D₇×C₄⋊C₄	C₂×C₄	1	2	yes	—
218	#6453	C₂×C₄	1	2	yes	—
219	#6447	C₂×C₄	1	2	yes	—
220	#6447	C₂×C₄	1	2	yes	—
221	#6446	C₂×C₄	1	2	yes	—
222	#6446	C₂×C₄	1	2	yes	—
223	#6445	C₂×C₄	1	2	yes	—
224	#6445	C₂×C₄	1	2	yes	—
225	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	2	yes	—
226	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	2	yes	—
227	D₇×C₂²⋊C₄	C₂×C₄	1	2	yes	—
228	D₇×C₂²⋊C₄	C₂×C₄	1	2	yes	—
229	#6441	C₂×C₄	1	2	yes	—
230	#6441	C₂×C₄	1	2	yes	—
231	#6439	C₂×C₄	1	2	yes	—
232	#6439	C₂×C₄	1	2	yes	—
233	#6438	C₂×C₄	1	2	yes	—
234	#6438	C₂×C₄	1	1	yes	characteristic
235	#6438	C₂×C₄	1	1	yes	characteristic
236	#6437	C₂×C₄	1	1	yes	characteristic
237	C₄×D₂₈	C₂×C₄	1	2	yes	—
238	C₄×D₂₈	C₂×C₄	1	2	yes	—
239	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
240	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
241	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
242	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
243	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
244	C₄×D₂₈	C₂³	1	2	yes	—
245	C₄×D₂₈	C₂³	1	2	yes	—
246	C₄×D₂₈	C₂³	1	2	yes	—
247	C₄×D₂₈	C₂³	1	1	yes	characteristic
248	C₄×D₂₈	C₂³	1	1	yes	characteristic
249	C₄×D₂₈	C₂³	1	1	yes	characteristic
250	#6435	C₂×C₄	1	2	yes	—
251	#6435	C₂³	1	2	yes	—
252	#6435	C₂³	1	2	yes	—
253	C₄²×D₇	C₂³	1	2	yes	—
254	#6433	C₂×C₄	1	1	yes	characteristic
255	#6433	C₂×C₄	1	1	yes	characteristic
256	#6432	C₂×C₄	1	1	yes	characteristic
257	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
258	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
259	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
266	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
267	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
268	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
269	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
270	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₇×#97	C₂³	1	1	yes	characteristic
272	C₇×#97	C₂³	1	1	yes	characteristic
273	C₇×#97	C₂³	1	1	yes	characteristic
274	C₇×#97	C₂³	1	1	yes	characteristic
275	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
276	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
277	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
278	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
279	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
280	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
281	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
282	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
283	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
284	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
285	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
286	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
287	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
288	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
289	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
290	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
291	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
292	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
293	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
294	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
295	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
296	#6389	C₂³	1	2	yes	—
297	#6389	C₂³	1	2	yes	—
298	Dic₇⋊C₈	C₂³	1	2	yes	—
299	Dic₇⋊C₈	C₂³	1	2	yes	—
300	Dic₇⋊C₈	C₂³	1	2	yes	—
301	Dic₇⋊C₈	C₂³	1	2	yes	—
302	C₈×Dic₇	C₂³	1	2	yes	—
303	C₈×Dic₇	C₂³	1	2	yes	—
304	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
305	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
306	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
307	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
308	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
309	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
310	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
311	#6377	C₂³	1	2	yes	—
312	#6377	C₂³	1	2	yes	—
313	C₄×C₇⋊C₈	C₂³	1	2	yes	—
314	#3481	—	7	1	no	—
315	#2995	—	7	2	no	—
316	#2994	—	7	1	no	—
317	#2993	—	7	1	no	—
318	#2990	—	7	1	no	—
319	#2989	—	7	1	no	—
320	#2981	—	7	1	no	—
321	#2978	—	7	2	no	—
322	#2976	—	7	2	no	—
323	#2975	—	7	1	no	—
324	#2974	—	7	1	no	—
325	#2973	—	7	2	no	—
326	#2971	—	7	1	no	—
327	#2969	—	7	1	no	—
328	#2967	—	7	2	no	—
329	#2966	—	7	1	no	—
330	#2965	D₇	1	1	yes	characteristic, complemented
331	#2935	—	7	1	no	—
332	D₄×M₁₆	—	7	2	no	—
333	D₄×M₁₆	—	7	1	no	—
334	#2933	—	7	2	no	—
335	#2930	—	7	2	no	—
336	C₂×#436	—	7	1	no	—
337	C₂³×D₇	C₂²×C₄	1	2	yes	—
338	C₂³×D₇	C₂²×C₄	1	2	yes	—
339	C₇×#41	—	4	2	no	—
340	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
341	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
342	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
344	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
345	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
346	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
347	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
348	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
349	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
350	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
353	C₂×C₂²⋊D₇	C₂²×C₄	1	2	yes	—
354	C₂×C₂²⋊D₇	C₂²×C₄	1	2	yes	—
355	C₂×C₂²⋊D₇	C₂²×C₄	1	2	yes	—
356	C₂×C₂²⋊D₇	C₂²×C₄	1	2	yes	—
357	C₂×C₂²⋊D₇	C₂²×C₄	1	2	yes	—
358	C₂²×Dic₇	C₂²×C₄	1	2	yes	—
359	C₂²×Dic₇	C₂²×C₄	1	2	yes	—
360	D₄×D₇	—	4	4	no	—
361	#1157	—	4	2	no	—
362	#1157	—	4	2	no	—
363	#1157	—	4	2	no	—
364	C₂×D₂₈	—	4	2	no	—
365	C₂×D₂₈	—	4	2	no	—
366	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
367	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
368	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
369	C₂×D₂₈	C₂²×C₄	1	2	yes	—
370	C₂×D₂₈	C₂²×C₄	1	2	yes	—
371	C₂×D₂₈	C₂²×C₄	1	2	yes	—
372	C₂×D₂₈	C₂²×C₄	1	2	yes	—
373	C₂×C₄×D₇	—	4	2	no	—
374	C₂×C₄×D₇	—	4	2	no	—
375	C₂×C₄×D₇	—	4	2	no	—
376	C₂×C₄×D₇	—	4	2	no	—
377	C₂×C₄×D₇	C₂²×C₄	1	2	yes	—
378	C₂×C₄×D₇	C₂²×C₄	1	2	yes	—
379	C₂×C₄×D₇	C₂²×C₄	1	2	yes	—
380	C₂×C₄×D₇	C₂²×C₄	1	2	yes	—
381	C₂×C₄×D₇	C₂²×C₄	1	2	yes	—
382	C₂×C₄×D₇	C₂²×C₄	1	2	yes	—
383	C₂×C₄×D₇	C₂⁴	1	2	yes	—
384	C₂×C₄×D₇	C₂⁴	1	2	yes	—
385	C₂×C₄×D₇	C₂⁴	1	2	yes	—
386	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
387	C₂×Dic₁₄	C₂²×C₄	1	2	yes	—
388	C₇×M₁₆	—	2	2	no	—
389	C₇×M₁₆	—	2	2	no	—
390	C₇×M₁₆	—	4	1	no	—
391	C₇×M₁₆	—	4	1	no	—
392	C₂×C₇×C₈	—	2	2	no	—
393	C₂×C₇×C₈	—	4	1	no	—
394	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
395	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
396	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
397	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
398	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
399	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
400	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
401	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
402	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
403	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
404	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
405	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
406	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
407	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
408	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
409	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
410	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
411	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
412	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
413	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
414	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
415	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
416	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
417	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
418	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
419	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
420	C₄²×C₇	C₂⁴	1	1	yes	characteristic
421	C₄²×C₇	C₂⁴	1	1	yes	characteristic
422	C₄²×C₇	C₂⁴	1	1	yes	characteristic
423	C₄²×C₇	C₂⁴	1	1	yes	characteristic
424	C₂²⋊Dic₇	C₂²×C₄	1	2	yes	—
425	C₂²⋊Dic₇	C₂²×C₄	1	2	yes	—
426	C₂²⋊Dic₇	C₂²×C₄	1	2	yes	—
427	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
428	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
429	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
430	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
431	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
432	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
433	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
434	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
435	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
436	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
437	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
438	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
439	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
440	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
441	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
442	(C₂×D₇)⋊C₄	C₂²×C₄	1	2	yes	—
443	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
444	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
445	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
446	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
447	C₄⋊Dic₇	C₂²×C₄	1	2	yes	—
448	C₄⋊Dic₇	C₂²×C₄	1	2	yes	—
449	C₄⋊Dic₇	C₂²×C₄	1	2	yes	—
450	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
451	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
452	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
453	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
454	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
455	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
456	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
457	Dic₇⋊C₄	C₂²×C₄	1	2	yes	—
458	C₄×Dic₇	C₂²×C₄	1	2	yes	—
459	C₄×Dic₇	C₂²×C₄	1	2	yes	—
460	C₄×Dic₇	C₂⁴	1	2	yes	—
461	#1136	—	4	2	no	—
462	C₂×C₇⋊C₈	—	4	2	no	—
463	C₂×C₇⋊C₈	—	4	2	no	—
464	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
465	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
466	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
467	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
468	#1131	—	2	4	no	—
469	#1131	—	2	4	no	—
470	#1131	—	4	2	no	—
471	#1131	—	4	2	no	—
472	#1131	—	4	2	no	—
473	#1131	—	4	2	no	—
474	#1131	—	4	2	no	—
475	#1131	—	4	2	no	—
476	C₈×D₇	—	2	4	no	—
477	C₈×D₇	—	4	2	no	—
478	C₈×D₇	—	4	2	no	—
479	C₈×D₇	—	4	2	no	—
480	C₂×#131	—	7	2	no	—
481	C₂²×M₁₆	—	7	2	no	—
482	C₂²×M₁₆	—	7	2	no	—
483	#559	—	7	1	no	—
484	#554	—	7	1	no	—
485	#554	—	7	1	no	—
486	#553	—	7	1	no	—
487	#553	—	7	1	no	—
488	#553	—	7	2	no	—
489	#551	—	7	2	no	—
490	#551	—	7	2	no	—
491	#546	—	7	2	no	—
492	#546	—	7	1	no	—
493	#546	—	7	1	no	—
494	D₄²	—	7	1	no	—
495	#532	—	7	1	no	—
496	#529	—	7	2	no	—
497	#529	—	7	1	no	—
498	#529	—	7	1	no	—
499	#525	—	7	2	no	—
500	#525	—	7	2	no	—
501	C₄×#41	—	7	1	no	—
502	C₄×#41	C₂×D₇	1	1	yes	characteristic
503	C₂×C₄×D₄	—	7	2	no	—
504	C₂×C₄×D₄	—	7	1	no	—
505	C₂×C₄×D₄	—	7	1	no	—
506	#446	—	7	2	no	—
507	#446	—	7	1	no	—
508	#446	—	7	1	no	—
509	#446	C₂×D₇	1	1	yes	characteristic, complemented
510	#446	C₂×D₇	1	1	yes	characteristic, complemented
511	C₈×Q₈	—	7	1	no	—
512	C₈×Q₈	—	7	1	no	—
513	#436	—	7	2	no	—
514	#436	—	7	2	no	—
515	#436	—	7	2	no	—
516	#436	—	7	2	no	—
517	#436	—	7	2	no	—
518	#436	—	7	2	no	—
519	#436	—	7	2	no	—
520	#436	—	7	1	no	—
521	#436	—	7	1	no	—
522	#436	—	7	1	no	—
523	#436	—	7	2	no	—
524	#436	—	7	1	no	—
525	#436	—	7	1	no	—
526	#436	—	7	1	no	—
527	#436	—	7	1	no	—
528	#436	—	7	1	no	—
529	#436	C₂×D₇	1	1	yes	characteristic, complemented
530	#436	C₂×D₇	1	1	yes	characteristic, complemented
531	#435	—	7	2	no	—
532	#435	—	7	2	no	—
533	#435	—	7	2	no	—
534	#435	—	7	2	no	—
535	#435	—	7	2	no	—
536	#435	—	7	2	no	—
537	#435	—	7	2	no	—
538	#435	—	7	2	no	—
539	#435	—	7	2	no	—
540	#435	—	7	2	no	—
541	#435	—	7	2	no	—
542	#435	—	7	2	no	—
543	#435	—	7	2	no	—
544	#435	—	7	2	no	—
545	#435	—	7	2	no	—
546	#435	—	7	2	no	—
547	#435	C₂×D₇	1	1	yes	characteristic
548	#435	C₂×D₇	1	1	yes	characteristic
549	#435	C₂×D₇	1	1	yes	characteristic, complemented
550	#435	C₂×D₇	1	1	yes	characteristic, complemented
551	C₈×D₄	—	7	2	no	—
552	C₈×D₄	—	7	2	no	—
553	C₈×D₄	—	7	2	no	—
554	C₈×D₄	—	7	1	no	—
555	C₈×D₄	—	7	1	no	—
556	C₈×D₄	—	7	1	no	—
557	C₈×D₄	—	7	1	no	—
558	#433	—	7	2	no	—
559	#433	—	7	2	no	—
560	#433	—	7	2	no	—
561	#433	—	7	2	no	—
562	#432	—	7	1	no	—
563	#432	—	7	1	no	—
564	#432	—	7	2	no	—
565	#432	—	7	2	no	—
566	#431	—	7	1	no	—
567	#431	C₂×D₇	1	1	yes	characteristic, complemented
568	#431	C₂×D₇	1	1	yes	characteristic, complemented
569	#431	C₂×D₇	1	1	yes	characteristic, complemented
570	#424	—	7	2	no	—
571	#424	—	7	2	no	—
572	#423	—	7	1	no	—
573	#423	—	7	2	no	—
574	C₂×C₄⋊C₈	—	7	1	no	—
575	C₂×C₄⋊C₈	—	7	1	no	—
576	#408	—	7	2	no	—
577	#408	—	7	2	no	—
578	#408	—	7	2	no	—
579	#407	—	7	2	no	—
580	#407	—	7	2	no	—
581	#407	—	7	2	no	—
582	#407	—	7	2	no	—
583	C₂×C₂²⋊C₈	—	7	2	no	—
584	C₂×C₂²⋊C₈	—	7	2	no	—
585	#405	—	7	2	no	—
586	#405	—	7	2	no	—
587	C₄×M₁₆	—	7	2	no	—
588	C₄×M₁₆	C₂×D₇	1	1	yes	characteristic, complemented
589	C₄×M₁₆	C₂×D₇	1	1	yes	characteristic, complemented
590	C₂×C₄×C₈	C₂×D₇	1	1	yes	characteristic, complemented
591	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
592	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
593	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
594	C₂²×D₇	—	2	4	no	—
595	C₂²×D₇	—	4	2	no	—
596	C₂²×D₇	—	4	2	no	—
597	C₂²×D₇	—	4	2	no	—
598	C₂²×D₇	—	4	2	no	—
599	C₂²×D₇	—	4	2	no	—
600	C₂²×D₇	C₂³×C₄	1	2	yes	—
601	C₂²×D₇	C₂³×C₄	1	2	yes	—
602	C₂²×D₇	C₂³×C₄	1	2	yes	—
603	C₇×Q₈	—	4	1	no	—
604	C₇×D₄	—	2	2	no	—
605	C₇×D₄	—	2	2	no	—
606	C₇×D₄	—	4	1	no	—
607	C₂×C₄×C₇	—	2	2	no	—
608	C₂×C₄×C₇	—	2	2	no	—
609	C₂×C₄×C₇	—	2	2	no	—
610	C₂×C₄×C₇	—	2	2	no	—
611	C₂×C₄×C₇	—	2	1	no	—
612	C₂×C₄×C₇	—	2	1	no	—
613	C₂×C₄×C₇	—	2	1	no	—
614	C₂×C₄×C₇	—	2	1	no	—
615	C₂×C₄×C₇	—	2	1	no	—
616	C₂×C₄×C₇	—	2	1	no	—
617	C₂×C₄×C₇	—	4	1	no	—
618	C₂×C₄×C₇	—	4	1	no	—
619	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
620	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
621	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
622	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
623	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
624	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
625	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
626	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
627	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
628	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
629	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
630	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
631	C₂²⋊D₇	—	2	4	no	—
632	C₂²⋊D₇	—	4	2	no	—
633	C₂²⋊D₇	—	4	2	no	—
634	C₂²⋊D₇	—	4	2	no	—
635	C₂²⋊D₇	—	4	2	no	—
636	C₂×Dic₇	—	4	2	no	—
637	C₂×Dic₇	—	4	2	no	—
638	C₂×Dic₇	C₂³×C₄	1	2	yes	—
639	C₂×Dic₇	C₂³×C₄	1	2	yes	—
640	C₂×Dic₇	C₂³×C₄	1	2	yes	—
641	C₂×Dic₇	C₂³×C₄	1	2	yes	—
642	C₂×Dic₇	C₂³×C₄	1	2	yes	—
643	D₂₈	—	2	2	no	—
644	D₂₈	—	2	2	no	—
645	D₂₈	—	2	2	no	—
646	D₂₈	—	4	2	no	—
647	D₂₈	—	4	2	no	—
648	D₂₈	—	4	2	no	—
649	D₂₈	—	4	2	no	—
650	C₄×D₇	—	2	2	no	—
651	C₄×D₇	—	2	2	no	—
652	C₄×D₇	—	2	2	no	—
653	C₄×D₇	—	2	2	no	—
654	C₄×D₇	—	2	2	no	—
655	C₄×D₇	—	2	2	no	—
656	C₄×D₇	—	4	2	no	—
657	C₄×D₇	—	4	2	no	—
658	C₄×D₇	—	4	2	no	—
659	C₄×D₇	—	4	2	no	—
660	C₄×D₇	—	4	2	no	—
661	C₄×D₇	—	4	2	no	—
662	Dic₁₄	—	2	2	no	—
663	Dic₁₄	—	4	2	no	—
664	C₇×C₈	—	2	1	no	—
665	C₇×C₈	—	2	1	no	—
666	C₇×C₈	—	2	1	no	—
667	C₇×C₈	—	2	1	no	—
668	C₇×C₈	—	2	1	no	—
669	C₇×C₈	—	2	1	no	—
670	C₇×C₈	—	2	1	no	—
671	C₇×C₈	H(5,𝔽₂)	1	2	yes	—
672	C₇⋊C₈	—	2	2	no	—
673	C₇⋊C₈	—	2	2	no	—
674	C₇⋊C₈	—	2	2	no	—
675	C₇⋊C₈	—	2	2	no	—
676	C₂×#41	—	7	1	no	—
677	C₂×#41	—	7	2	no	—
678	C₂×#41	C₄×D₇	1	1	yes	characteristic
679	C₂²×D₄	—	7	2	no	—
680	C₂²×D₄	—	7	1	no	—
681	C₂²×D₄	—	7	1	no	—
682	C₂³×C₄	—	7	2	no	—
683	C₂³×C₄	—	7	2	no	—
684	#131	—	28	4	no	—
685	C₂×M₁₆	—	7	2	no	—
686	C₂×M₁₆	—	7	2	no	—
687	C₂×M₁₆	—	7	2	no	—
688	C₂×M₁₆	—	7	2	no	—
689	C₂×M₁₆	—	7	2	no	—
690	C₂×M₁₆	—	7	2	no	—
691	C₂×M₁₆	—	7	2	no	—
692	C₂×M₁₆	—	7	2	no	—
693	C₂×M₁₆	—	7	2	no	—
694	C₂×M₁₆	—	28	4	no	—
695	C₂×M₁₆	—	28	4	no	—
696	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
697	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
698	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
699	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
700	C₂²×C₈	—	7	2	no	—
701	C₂²×C₈	—	7	2	no	—
702	C₂²×C₈	—	7	2	no	—
703	C₂²×C₈	—	7	2	no	—
704	C₂²×C₈	—	7	2	no	—
705	C₂²×C₈	—	7	2	no	—
706	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
707	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
708	C₄⋊Q₈	—	7	1	no	—
709	#127	—	7	1	no	—
710	#126	—	7	2	no	—
711	#126	—	7	2	no	—
712	#126	—	7	2	no	—
713	#126	—	7	2	no	—
714	#125	—	7	2	no	—
715	#125	—	7	1	no	—
716	#125	—	7	1	no	—
717	#124	—	7	2	no	—
718	#124	—	7	1	no	—
719	#124	—	7	1	no	—
720	#124	—	7	2	no	—
721	#123	—	7	2	no	—
722	#123	—	7	2	no	—
723	#123	—	7	2	no	—
724	#123	—	7	2	no	—
725	#123	—	7	2	no	—
726	#123	—	7	2	no	—
727	#123	—	7	2	no	—
728	#123	—	7	2	no	—
729	C₂²⋊Q₈	—	7	2	no	—
730	C₂²⋊Q₈	—	7	1	no	—
731	C₂²⋊Q₈	—	7	1	no	—
732	C₂²⋊Q₈	—	7	2	no	—
733	C₂²⋊Q₈	—	7	2	no	—
734	C₂²⋊Q₈	—	7	2	no	—
735	C₂²⋊Q₈	—	7	2	no	—
736	#121	—	7	2	no	—
737	#121	—	7	2	no	—
738	#121	—	7	1	no	—
739	#121	—	7	1	no	—
740	#121	—	7	1	no	—
741	#121	—	7	1	no	—
742	#121	—	7	2	no	—
743	#121	—	7	2	no	—
744	#121	—	7	2	no	—
745	#121	—	7	2	no	—
746	#120	—	7	2	no	—
747	#120	—	7	2	no	—
748	#120	—	7	2	no	—
749	#120	—	7	2	no	—
750	C₄×Q₈	—	7	1	no	—
751	C₄×Q₈	—	7	1	no	—
752	C₄×Q₈	C₄×D₇	1	1	yes	characteristic
753	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
754	C₄×D₄	—	7	2	no	—
755	C₄×D₄	—	7	2	no	—
756	C₄×D₄	—	7	2	no	—
757	C₄×D₄	—	7	2	no	—
758	C₄×D₄	—	7	2	no	—
759	C₄×D₄	—	7	2	no	—
760	C₄×D₄	—	7	2	no	—
761	C₄×D₄	—	7	2	no	—
762	C₄×D₄	—	7	1	no	—
763	C₄×D₄	—	7	1	no	—
764	C₄×D₄	—	7	2	no	—
765	C₄×D₄	—	7	2	no	—
766	C₄×D₄	—	7	1	no	—
767	C₄×D₄	—	7	1	no	—
768	C₄×D₄	—	7	1	no	—
769	C₄×D₄	—	7	1	no	—
770	C₄×D₄	—	7	2	no	—
771	C₄×D₄	—	7	2	no	—
772	C₄×D₄	—	7	1	no	—
773	C₄×D₄	—	7	1	no	—
774	C₄×D₄	—	7	2	no	—
775	C₄×D₄	C₄×D₇	1	1	yes	characteristic
776	C₄×D₄	C₄×D₇	1	1	yes	characteristic
777	C₄×D₄	C₄×D₇	1	1	yes	characteristic
778	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
779	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
780	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
781	#117	—	7	1	no	—
782	#117	—	7	2	no	—
783	#117	—	7	2	no	—
784	#117	—	7	2	no	—
785	#117	C₄×D₇	1	1	yes	characteristic
786	#117	C₄×D₇	1	1	yes	characteristic
787	#117	C₄×D₇	1	1	yes	characteristic
788	C₂×C₄⋊C₄	—	7	1	no	—
789	C₂×C₄⋊C₄	—	7	1	no	—
790	C₂×C₄⋊C₄	—	7	2	no	—
791	C₂×C₂²⋊C₄	—	7	2	no	—
792	C₂×C₂²⋊C₄	—	7	2	no	—
793	C₂×C₂²⋊C₄	—	7	2	no	—
794	C₂×C₂²⋊C₄	—	7	2	no	—
795	C₂×C₄²	—	7	2	no	—
796	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
797	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
798	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
799	C₄⋊C₈	—	7	2	no	—
800	C₄⋊C₈	—	7	2	no	—
801	C₄⋊C₈	—	7	2	no	—
802	C₄⋊C₈	—	7	2	no	—
803	C₄⋊C₈	—	7	1	no	—
804	C₄⋊C₈	—	7	1	no	—
805	C₄⋊C₈	—	7	1	no	—
806	C₄⋊C₈	—	7	2	no	—
807	C₄⋊C₈	—	7	2	no	—
808	C₄⋊C₈	—	7	2	no	—
809	C₄⋊C₈	—	7	1	no	—
810	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
811	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
812	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
813	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
814	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
815	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
816	C₂²⋊C₈	—	7	2	no	—
817	C₂²⋊C₈	—	7	2	no	—
818	C₂²⋊C₈	—	7	2	no	—
819	C₂²⋊C₈	—	7	2	no	—
820	C₂²⋊C₈	—	7	2	no	—
821	C₂²⋊C₈	—	7	2	no	—
822	C₂²⋊C₈	—	7	2	no	—
823	C₂²⋊C₈	—	7	2	no	—
824	C₂²⋊C₈	—	7	2	no	—
825	C₂²⋊C₈	—	7	2	no	—
826	C₂²⋊C₈	—	7	2	no	—
827	C₂²⋊C₈	—	7	2	no	—
828	C₂²⋊C₈	—	7	2	no	—
829	C₂²⋊C₈	—	7	2	no	—
830	C₂²⋊C₈	—	7	2	no	—
831	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
832	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
833	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
834	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
835	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
836	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
837	#97	—	7	2	no	—
838	#97	—	7	2	no	—
839	#97	—	7	2	no	—
840	#97	—	7	2	no	—
841	#97	C₂²×D₇	1	1	yes	characteristic
842	#97	C₂²×D₇	1	1	yes	characteristic
843	#97	C₂²×D₇	1	1	yes	characteristic
844	#97	C₂²×D₇	1	1	yes	characteristic
845	C₄×C₈	—	7	2	no	—
846	C₄×C₈	—	7	2	no	—
847	C₄×C₈	—	7	2	no	—
848	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
849	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
850	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
851	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
852	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
853	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
854	C₂²×C₇	—	2	1	no	—
855	C₂²×C₇	—	2	1	no	—
856	C₂²×C₇	—	2	1	no	—
857	C₂²×C₇	—	2	1	no	—
858	C₂²×C₇	—	2	1	no	—
859	C₂²×C₇	—	2	1	no	—
860	C₂²×C₇	—	2	1	no	—
861	C₂²×C₇	—	2	1	no	—
862	C₂²×C₇	#568	1	2	yes	—
863	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
864	C₂×D₇	—	2	2	no	—
865	C₂×D₇	—	2	2	no	—
866	C₂×D₇	—	2	2	no	—
867	C₂×D₇	—	2	2	no	—
868	C₂×D₇	—	2	2	no	—
869	C₂×D₇	—	2	2	no	—
870	C₂×D₇	—	2	2	no	—
871	C₂×D₇	—	2	2	no	—
872	C₂×D₇	—	2	2	no	—
873	C₂×D₇	—	8	4	no	—
874	C₂×D₇	—	8	4	no	—
875	C₄×C₇	—	2	1	no	—
876	C₄×C₇	—	2	1	no	—
877	C₄×C₇	—	2	1	no	—
878	C₄×C₇	—	2	1	no	—
879	C₄×C₇	—	2	1	no	—
880	C₄×C₇	—	2	1	no	—
881	C₄×C₇	—	2	1	no	—
882	C₄×C₇	—	2	1	no	—
883	C₄×C₇	—	2	1	no	—
884	C₄×C₇	—	2	1	no	—
885	C₄×C₇	#568	1	2	yes	—
886	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
887	C₄×C₇	#585	1	1	yes	characteristic
888	Dic₇	—	2	2	no	—
889	Dic₇	—	2	2	no	—
890	Dic₇	—	2	2	no	—
891	Dic₇	—	2	2	no	—
892	Dic₇	—	2	2	no	—
893	C₂⁴	—	7	2	no	—
894	C₂⁴	—	7	2	no	—
895	#41	—	4	2	no	—
896	#41	—	28	2	no	—
897	#41	—	28	2	no	—
898	#41	—	28	2	no	—
899	C₂×Q₈	—	7	1	no	—
900	C₂×Q₈	—	7	2	no	—
901	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
902	C₂×D₄	—	7	2	no	—
903	C₂×D₄	—	7	2	no	—
904	C₂×D₄	—	7	2	no	—
905	C₂×D₄	—	7	2	no	—
906	C₂×D₄	—	7	2	no	—
907	C₂×D₄	—	7	1	no	—
908	C₂×D₄	—	7	1	no	—
909	C₂×D₄	—	7	1	no	—
910	C₂×D₄	—	7	2	no	—
911	C₂×D₄	—	7	2	no	—
912	C₂×D₄	—	7	2	no	—
913	C₂×D₄	—	7	2	no	—
914	C₂×D₄	—	28	2	no	—
915	C₂×D₄	—	28	2	no	—
916	C₂×D₄	—	28	4	no	—
917	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
918	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
919	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
920	C₂²×C₄	—	7	2	no	—
921	C₂²×C₄	—	7	2	no	—
922	C₂²×C₄	—	7	2	no	—
923	C₂²×C₄	—	7	2	no	—
924	C₂²×C₄	—	7	2	no	—
925	C₂²×C₄	—	7	2	no	—
926	C₂²×C₄	—	7	2	no	—
927	C₂²×C₄	—	7	2	no	—
928	C₂²×C₄	—	7	2	no	—
929	C₂²×C₄	—	7	2	no	—
930	C₂²×C₄	—	7	2	no	—
931	C₂²×C₄	—	28	2	no	—
932	C₂²×C₄	—	28	2	no	—
933	C₂²×C₄	—	28	2	no	—
934	C₂²×C₄	—	28	2	no	—
935	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
936	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
937	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
938	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
939	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
940	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
941	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
942	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
943	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
944	M₁₆	—	2	2	no	—
945	M₁₆	—	2	2	no	—
946	M₁₆	—	4	1	no	—
947	M₁₆	—	4	1	no	—
948	M₁₆	—	14	4	no	—
949	M₁₆	—	14	4	no	—
950	M₁₆	—	28	2	no	—
951	M₁₆	—	28	2	no	—
952	M₁₆	—	28	2	no	—
953	M₁₆	—	28	2	no	—
954	M₁₆	—	28	2	no	—
955	M₁₆	—	28	2	no	—
956	M₁₆	—	28	2	no	—
957	C₂×C₈	—	2	2	no	—
958	C₂×C₈	—	4	1	no	—
959	C₂×C₈	—	7	2	no	—
960	C₂×C₈	—	7	2	no	—
961	C₂×C₈	—	7	2	no	—
962	C₂×C₈	—	7	2	no	—
963	C₂×C₈	—	14	4	no	—
964	C₂×C₈	—	28	2	no	—
965	C₂×C₈	—	28	2	no	—
966	C₂×C₈	—	28	2	no	—
967	C₂×C₈	—	28	2	no	—
968	C₂×C₈	—	28	2	no	—
969	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
970	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
971	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
972	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
973	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
974	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
975	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
976	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
977	C₄⋊C₄	—	7	2	no	—
978	C₄⋊C₄	—	7	2	no	—
979	C₄⋊C₄	—	7	2	no	—
980	C₄⋊C₄	—	7	2	no	—
981	C₄⋊C₄	—	7	2	no	—
982	C₄⋊C₄	—	7	2	no	—
983	C₄⋊C₄	—	7	2	no	—
984	C₄⋊C₄	—	7	2	no	—
985	C₄⋊C₄	—	7	1	no	—
986	C₄⋊C₄	—	7	2	no	—
987	C₄⋊C₄	—	7	1	no	—
988	C₄⋊C₄	—	7	1	no	—
989	C₄⋊C₄	—	7	2	no	—
990	C₄⋊C₄	—	7	2	no	—
991	C₄⋊C₄	—	7	1	no	—
992	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
993	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
994	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
995	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
996	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
997	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
998	C₂²⋊C₄	—	7	2	no	—
999	C₂²⋊C₄	—	7	2	no	—
1000	C₂²⋊C₄	—	7	2	no	—
1001	C₂²⋊C₄	—	7	2	no	—
1002	C₂²⋊C₄	—	7	2	no	—
1003	C₂²⋊C₄	—	7	2	no	—
1004	C₂²⋊C₄	—	7	2	no	—
1005	C₂²⋊C₄	—	7	2	no	—
1006	C₂²⋊C₄	—	7	2	no	—
1007	C₂²⋊C₄	—	7	2	no	—
1008	C₂²⋊C₄	—	7	2	no	—
1009	C₂²⋊C₄	—	7	2	no	—
1010	C₂²⋊C₄	—	7	2	no	—
1011	C₂²⋊C₄	—	7	2	no	—
1012	C₂²⋊C₄	—	7	2	no	—
1013	C₂²⋊C₄	—	7	2	no	—
1014	C₂²⋊C₄	—	7	2	no	—
1015	C₂²⋊C₄	—	7	2	no	—
1016	C₂²⋊C₄	—	7	2	no	—
1017	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1018	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1019	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1020	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1021	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1022	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1023	C₄²	—	7	2	no	—
1024	C₄²	—	7	2	no	—
1025	C₄²	—	7	2	no	—
1026	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1027	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1028	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1029	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1030	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1031	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1032	C₄²	C₂³×D₇	1	1	yes	characteristic
1033	C₄²	C₂³×D₇	1	1	yes	characteristic
1034	C₄²	C₂³×D₇	1	1	yes	characteristic
1035	C₄²	C₂³×D₇	1	1	yes	characteristic
1036	C₂×C₇	—	2	2	no	—
1037	C₂×C₇	—	4	1	no	—
1038	C₂×C₇	—	4	1	no	—
1039	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1040	C₂×C₇	C₂×#568	1	1	yes	characteristic
1041	C₂×C₇	C₂×#568	1	1	yes	characteristic
1042	D₇	—	4	2	no	—
1043	D₇	—	4	2	no	—
1044	D₇	—	4	2	no	—
1045	C₂³	—	7	2	no	—
1046	C₂³	—	7	2	no	—
1047	C₂³	—	7	2	no	—
1048	C₂³	—	14	4	no	—
1049	C₂³	—	28	2	no	—
1050	C₂³	—	28	2	no	—
1051	C₂³	—	28	2	no	—
1052	C₂³	—	28	2	no	—
1053	C₂³	—	28	2	no	—
1054	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1055	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1056	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1057	Q₈	—	4	1	no	—
1058	Q₈	—	14	2	no	—
1059	Q₈	—	28	2	no	—
1060	D₄	—	2	2	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	4	1	no	—
1063	D₄	—	14	4	no	—
1064	D₄	—	14	2	no	—
1065	D₄	—	14	2	no	—
1066	D₄	—	14	2	no	—
1067	D₄	—	28	2	no	—
1068	D₄	—	28	2	no	—
1069	D₄	—	28	2	no	—
1070	D₄	—	28	2	no	—
1071	D₄	—	28	2	no	—
1072	D₄	—	28	2	no	—
1073	D₄	—	28	2	no	—
1074	D₄	—	28	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	4	1	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	7	2	no	—
1088	C₂×C₄	—	7	2	no	—
1089	C₂×C₄	—	7	2	no	—
1090	C₂×C₄	—	7	2	no	—
1091	C₂×C₄	—	7	2	no	—
1092	C₂×C₄	—	14	2	no	—
1093	C₂×C₄	—	14	2	no	—
1094	C₂×C₄	—	14	2	no	—
1095	C₂×C₄	—	14	2	no	—
1096	C₂×C₄	—	14	2	no	—
1097	C₂×C₄	—	14	2	no	—
1098	C₂×C₄	—	28	2	no	—
1099	C₂×C₄	—	28	2	no	—
1100	C₂×C₄	—	28	2	no	—
1101	C₂×C₄	—	28	2	no	—
1102	C₂×C₄	—	28	2	no	—
1103	C₂×C₄	—	28	2	no	—
1104	C₂×C₄	—	28	2	no	—
1105	C₂×C₄	—	28	2	no	—
1106	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1107	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1108	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1109	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1110	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1111	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1112	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1113	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1114	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1115	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1116	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1117	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1118	C₈	—	2	1	no	—
1119	C₈	—	2	1	no	—
1120	C₈	—	2	1	no	—
1121	C₈	—	2	1	no	—
1122	C₈	—	2	1	no	—
1123	C₈	—	2	1	no	—
1124	C₈	—	2	1	no	—
1125	C₈	—	14	2	no	—
1126	C₈	—	14	2	no	—
1127	C₈	—	14	2	no	—
1128	C₈	—	14	2	no	—
1129	C₈	#6553	1	2	yes	—
1130	C₇	#60324	1	1	yes	characteristic, complemented, Sylow
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	14	2	no	—
1140	C₂²	—	14	2	no	—
1141	C₂²	—	14	2	no	—
1142	C₂²	—	14	2	no	—
1143	C₂²	—	14	2	no	—
1144	C₂²	—	14	2	no	—
1145	C₂²	—	14	2	no	—
1146	C₂²	—	14	2	no	—
1147	C₂²	—	14	2	no	—
1148	C₂²	—	56	4	no	—
1149	C₂²	—	56	4	no	—
1150	C₂²	#90436	1	2	yes	—
1151	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	2	1	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	14	2	no	—
1163	C₄	—	14	2	no	—
1164	C₄	—	14	2	no	—
1165	C₄	—	14	2	no	—
1166	C₄	—	14	2	no	—
1167	C₄	#90441	1	2	yes	—
1168	C₄	C₂×#6553	1	1	yes	characteristic
1169	C₄	#90616	1	1	yes	characteristic
1170	C₂	—	2	2	no	—
1171	C₂	—	4	1	no	—
1172	C₂	—	4	1	no	—
1173	C₂	—	28	2	no	—
1174	C₂	—	28	2	no	—
1175	C₂	—	28	2	no	—
1176	C₂	C₄×#6553	1	1	yes	characteristic
1177	C₂	C₂×#90436	1	1	yes	characteristic
1178	C₂	C₂×#90441	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2965	C₂
prime radical	#11742911	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2965	D₇
hypocenter	C₇	#60324
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2965

Complements

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

N	H ≅ G/N	type
2. C₇×#2965	C₂	semidirect
3. #11739967	C₂	semidirect
4. #11737394	C₂	semidirect
5. #11737385	C₂	semidirect
6. #11736990	C₂	semidirect
7. #11736982	C₂	semidirect
8. #11736932	C₂	semidirect
9. #11736930	C₂	semidirect
10. #11736928	C₂	semidirect
11. #11736926	C₂	semidirect
12. #11736741	C₂	semidirect
13. #11736740	C₂	semidirect
14. #11736737	C₂	semidirect
15. #11736735	C₂	semidirect
16. #11736733	C₂	semidirect
17. #11736732	C₂	semidirect
18. #11735967	C₂	semidirect
19. M₁₆×D₂₈	C₂	semidirect
20. #11735957	C₂	semidirect
21. #11735956	C₂	semidirect
22. C₂×#89460	C₂	semidirect
23. #11735893	C₂	semidirect
26. C₂×#6470	C₂²	semidirect
27. C₂×D₇×M₁₆	C₂²	semidirect
28. C₂²×#1131	C₂²	semidirect
50. C₇×#446	C₂²	semidirect
51. C₇×#446	C₂²	semidirect
52. C₇×#436	C₂²	semidirect
53. C₇×#436	C₂²	semidirect
56. C₇×#435	C₂²	semidirect
57. C₇×#435	C₂²	semidirect
58. C₇×#431	C₂²	semidirect
59. C₇×#431	C₂²	semidirect
60. C₇×#431	C₂²	semidirect
61. C₄×C₇×M₁₆	C₂²	semidirect
62. C₄×C₇×M₁₆	C₂²	semidirect
63. C₂×C₄×C₇×C₈	C₂²	semidirect
64. #89901	C₂²	semidirect
65. #89900	C₂²	semidirect
66. #89900	C₂²	semidirect
67. #89900	C₂²	semidirect
68. #89899	C₂²	semidirect
69. #89898	C₂²	semidirect
70. #89883	C₂²	semidirect
71. C₈×C₂²⋊D₇	C₂²	semidirect
72. C₂×(C₂×D₇)⋊C₈	C₂²	semidirect
73. #89796	C₂²	semidirect
75. #89783	C₂²	semidirect
76. D₄×C₇⋊C₈	C₂²	semidirect
77. #89698	C₂²	semidirect
78. #89698	C₂²	semidirect
79. #89697	C₂²	semidirect
80. #89696	C₂²	semidirect
81. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
82. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
83. #89612	C₂²	semidirect
84. #89612	C₂²	semidirect
85. #89611	C₂²	semidirect
86. #89611	C₂²	semidirect
87. #89610	C₂²	semidirect
88. #89610	C₂²	semidirect
89. #89609	C₂²	semidirect
90. #89608	C₂²	semidirect
91. #89608	C₂²	semidirect
92. #89608	C₂²	semidirect
93. #89608	C₂²	semidirect
94. #89607	C₂²	semidirect
95. #89502	C₂²	semidirect
96. #89502	C₂²	semidirect
97. #89502	C₂²	semidirect
98. #89501	C₂²	semidirect
99. #89500	C₂²	semidirect
100. #89499	C₂²	semidirect
101. #89499	C₂²	semidirect
102. #89498	C₂²	semidirect
103. #89498	C₂²	semidirect
104. #89498	C₂²	semidirect
105. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
106. D₇×C₂²⋊C₈	C₂²	semidirect
107. #89481	C₂²	semidirect
108. #89480	C₂²	semidirect
109. #89479	C₂²	semidirect
110. #89478	C₂²	semidirect
111. #89478	C₂²	semidirect
112. #89478	C₂²	semidirect
113. #89478	C₂²	semidirect
114. #89477	C₂²	semidirect
115. #89462	C₂²	semidirect
116. #89461	C₂²	semidirect
121. #89460	C₂²	semidirect
122. #89460	C₂²	semidirect
123. #89460	C₂²	semidirect
124. #89460	C₂²	semidirect
125. #89460	C₂²	semidirect
126. #89460	C₂²	semidirect
127. C₈×D₂₈	C₂²	semidirect
128. C₈×D₂₈	C₂²	semidirect
129. C₈×D₂₈	C₂²	semidirect
130. C₈×D₂₈	C₂²	semidirect
131. #89451	C₂²	semidirect
132. #89451	C₂²	semidirect
133. C₈×Dic₁₄	C₂²	semidirect
134. C₈×Dic₁₄	C₂²	semidirect
330. #2965	D₇	semidirect
509. #446	C₂×D₇	semidirect
510. #446	C₂×D₇	semidirect
529. #436	C₂×D₇	semidirect
530. #436	C₂×D₇	semidirect
549. #435	C₂×D₇	semidirect
550. #435	C₂×D₇	semidirect
567. #431	C₂×D₇	semidirect
568. #431	C₂×D₇	semidirect
569. #431	C₂×D₇	semidirect
588. C₄×M₁₆	C₂×D₇	semidirect
589. C₄×M₁₆	C₂×D₇	semidirect
590. C₂×C₄×C₈	C₂×D₇	semidirect
1130. C₇	#60324	semidirect

Maximal subgroups

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

subgroup	index
#11742911	2
C₇×#2965	2
#11739967	2
#11737394	2
#11737385	2
#11736990	2
#11736982	2
#11736932	2
#11736930	2
#11736928	2
#11736926	2
#11736741	2
#11736740	2
#11736737	2
#11736735	2
#11736733	2
#11736732	2
#11735967	2
M₁₆×D₂₈	2
#11735957	2
#11735956	2
C₂×#89460	2
#11735893	2
#60324	7