Subgroups — C₇×#60875 #13238091

Order 1792.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3494	C₂	1	1	yes	maximal, characteristic
2	C₇×#3458	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3244	C₂	1	2	yes	maximal, complemented
4	C₇×#3243	C₂	1	2	yes	maximal, complemented
5	C₇×#3241	C₂	1	2	yes	maximal, complemented
6	C₇×#3241	C₂	1	2	yes	maximal, complemented
7	C₇×#3240	C₂	1	2	yes	maximal, complemented
8	C₇×#3235	C₂	1	2	yes	maximal, complemented
9	C₇×#3233	C₂	1	2	yes	maximal, complemented
10	C₇×#3228	C₂	1	2	yes	maximal, complemented
11	C₇×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3163	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3136	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3136	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3094	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3093	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3091	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₇×#482	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3084	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3083	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#555	—	2	1	no	—
25	C₇×#553	—	2	1	no	—
26	C₇×#553	—	2	1	no	—
27	C₇×#551	—	2	2	no	—
28	C₇×#547	—	2	1	no	—
29	C₇×#546	—	2	2	no	—
30	C₇×#544	—	2	1	no	—
31	C₇×#544	—	2	1	no	—
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#544	C₂²	1	1	yes	characteristic
34	C₇×#544	C₂²	1	1	yes	characteristic
35	C₇×#544	C₂²	1	1	yes	characteristic
36	C₇×#544	C₂²	1	1	yes	characteristic
37	C₇×#544	C₂²	1	2	yes	complemented
38	C₇×#544	C₂²	1	2	yes	complemented
39	C₇×#543	—	2	2	no	—
40	C₇×#542	C₂²	1	2	yes	—
41	C₇×#540	C₂²	1	2	yes	—
42	C₇×#535	C₂²	1	1	yes	characteristic
43	C₇×#533	—	2	2	no	—
44	C₇×#533	—	2	1	no	—
45	C₇×#533	—	2	1	no	—
46	C₇×#533	C₂²	1	2	yes	complemented
47	C₇×#533	C₂²	1	2	yes	complemented
48	C₇×#532	C₂²	1	2	yes	—
49	C₇×#529	C₂²	1	2	yes	—
50	C₇×#525	C₂²	1	1	yes	characteristic
51	C₂×C₇×#121	C₂²	1	1	yes	characteristic
52	C₇×#520	C₂²	1	1	yes	characteristic
53	C₇×#518	C₂²	1	1	yes	characteristic
54	C₂×C₇×#117	C₂²	1	1	yes	characteristic
55	C₂×C₇×#117	C₂²	1	1	yes	characteristic
56	C₂×C₇×#117	C₂²	1	1	yes	characteristic
57	C₇×#501	C₂²	1	2	yes	complemented
58	C₇×#501	C₂²	1	2	yes	complemented
59	C₇×#501	C₂²	1	2	yes	complemented
60	C₇×#501	C₂²	1	2	yes	complemented
61	C₇×#500	C₂²	1	2	yes	complemented
62	C₇×#499	C₂²	1	2	yes	complemented
63	C₇×#499	C₂²	1	2	yes	complemented
64	C₇×#498	C₂²	1	2	yes	complemented
65	C₇×#490	C₂²	1	2	yes	complemented
66	C₇×#490	C₂²	1	2	yes	complemented
67	C₇×#489	C₂²	1	2	yes	complemented
68	C₇×#489	C₂²	1	2	yes	complemented
69	C₇×#488	C₂²	1	2	yes	complemented
70	C₇×#488	C₂²	1	2	yes	complemented
71	C₇×#486	C₂²	1	2	yes	complemented
72	C₇×#486	C₂²	1	2	yes	complemented
73	C₇×#485	C₂²	1	1	yes	characteristic, complemented
74	C₇×#485	C₂²	1	2	yes	complemented
75	C₇×#485	C₂²	1	1	yes	characteristic, complemented
76	C₇×#485	C₂²	1	2	yes	complemented
77	C₇×#484	C₂²	1	1	yes	characteristic, complemented
78	C₇×#483	C₂²	1	1	yes	characteristic, complemented
79	C₇×#482	C₂²	1	2	yes	—
80	C₇×#482	C₂²	1	2	yes	—
81	C₇×#482	C₂²	1	2	yes	—
82	C₇×#482	C₂²	1	2	yes	—
83	C₇×#482	C₂²	1	2	yes	—
84	C₇×#482	C₂²	1	2	yes	—
85	C₇×#482	C₂²	1	1	yes	characteristic, complemented
86	C₇×#482	C₂²	1	2	yes	complemented
87	C₇×#482	C₂²	1	1	yes	characteristic, complemented
88	C₇×#482	C₂²	1	2	yes	complemented
89	C₇×#481	C₂²	1	2	yes	—
90	C₇×#481	C₂²	1	1	yes	characteristic, complemented
91	C₇×#480	C₂²	1	2	yes	—
92	C₇×#480	C₂²	1	1	yes	characteristic, complemented
93	C₇×#479	C₂²	1	2	yes	complemented
94	C₇×#479	C₂²	1	2	yes	complemented
95	C₇×#478	C₂²	1	2	yes	complemented
96	C₇×#478	C₂²	1	2	yes	complemented
97	C₇×#478	C₂²	1	2	yes	complemented
98	C₇×#478	C₂²	1	2	yes	complemented
99	C₇×#478	C₂²	1	2	yes	complemented
100	C₇×#478	C₂²	1	2	yes	complemented
101	C₇×#477	C₂²	1	2	yes	complemented
102	C₇×#476	C₂²	1	2	yes	complemented
103	C₇×#476	C₂²	1	2	yes	complemented
104	C₇×#476	C₂²	1	2	yes	complemented
105	C₇×#475	C₂²	1	2	yes	complemented
106	C₇×#474	C₂²	1	2	yes	complemented
107	C₇×#474	C₂²	1	2	yes	complemented
108	C₇×#474	C₂²	1	2	yes	complemented
109	C₇×#433	C₂²	1	2	yes	complemented
110	C₇×#433	C₂²	1	2	yes	complemented
111	C₇×#432	C₂²	1	2	yes	complemented
112	C₇×#431	C₂²	1	2	yes	complemented
113	C₇×#428	C₂²	1	1	yes	characteristic
114	C₇×#428	C₂²	1	1	yes	characteristic
115	C₇×#428	C₂²	1	1	yes	characteristic
116	C₇×#428	C₂²	1	1	yes	characteristic
117	C₇×#427	C₂²	1	1	yes	characteristic
118	C₇×#427	C₂²	1	1	yes	characteristic
119	C₂×C₇×#107	C₂²	1	1	yes	characteristic
120	C₂×C₇×#106	C₂²	1	1	yes	characteristic
121	C₇×#424	C₂²	1	1	yes	characteristic
122	C₇×#424	C₂²	1	1	yes	characteristic
123	C₇×#418	C₂²	1	1	yes	characteristic
124	C₇×#418	C₂²	1	1	yes	characteristic
125	C₇×#417	C₂²	1	1	yes	characteristic
126	C₇×#417	C₂²	1	1	yes	characteristic
127	C₇×#416	C₂²	1	1	yes	characteristic
128	C₇×#416	C₂²	1	1	yes	characteristic
129	C₂×C₇×#102	C₂²	1	1	yes	characteristic
130	C₂×C₇×#102	C₂²	1	1	yes	characteristic
131	C₇×#407	C₂²	1	1	yes	characteristic
132	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
133	C₇×#405	C₂²	1	1	yes	characteristic
134	C₇×#405	C₂²	1	1	yes	characteristic
135	#60875	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	2	no	—
137	C₂×C₇×#41	C₂³	1	1	yes	characteristic
138	C₂²×C₇×D₄	—	2	1	no	—
139	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
141	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
142	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
143	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
144	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
145	C₇×C₄⋊Q₈	—	2	1	no	—
146	C₇×C₄⋊Q₈	—	2	1	no	—
147	C₇×C₄⋊Q₈	—	2	1	no	—
148	C₇×C₄⋊Q₈	—	2	1	no	—
149	C₇×C₄⋊Q₈	—	2	2	no	—
150	C₇×C₄⋊Q₈	—	2	2	no	—
151	C₇×C₄⋊Q₈	—	2	1	no	—
152	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
153	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₇×#127	C₂³	1	2	yes	—
158	C₇×#126	—	2	2	no	—
159	C₇×#126	—	2	2	no	—
160	C₇×#125	—	2	1	no	—
161	C₇×#125	—	2	1	no	—
162	C₇×#125	—	2	1	no	—
163	C₇×#125	—	2	1	no	—
164	C₇×#125	—	2	2	no	—
165	C₇×#125	—	2	2	no	—
166	C₇×#125	—	2	1	no	—
167	C₇×#125	C₂³	1	2	yes	—
168	C₇×#125	C₂³	1	2	yes	—
169	C₇×#125	C₂³	1	2	yes	—
170	C₇×#125	C₂³	1	2	yes	—
171	C₇×#125	C₂³	1	2	yes	—
172	C₇×#124	—	2	2	no	—
173	C₇×#124	—	2	2	no	—
174	C₇×#124	C₂³	1	2	yes	—
175	C₇×#123	—	2	1	no	—
176	C₇×#123	—	2	2	no	—
177	C₇×#123	—	2	2	no	—
178	C₇×#123	—	2	2	no	—
179	C₇×#123	—	2	2	no	—
180	C₇×C₂²⋊Q₈	—	2	2	no	—
181	C₇×C₂²⋊Q₈	—	2	2	no	—
182	C₇×C₂²⋊Q₈	—	2	2	no	—
183	C₇×C₂²⋊Q₈	—	2	2	no	—
184	C₇×C₂²⋊Q₈	—	2	2	no	—
185	C₇×C₂²⋊Q₈	—	2	2	no	—
186	C₇×C₂²⋊Q₈	—	2	2	no	—
187	C₇×C₂²⋊Q₈	—	2	2	no	—
188	C₇×C₂²⋊Q₈	—	2	2	no	—
189	C₇×C₂²⋊Q₈	—	2	2	no	—
190	C₇×C₂²⋊Q₈	—	2	2	no	—
191	C₇×C₂²⋊Q₈	—	2	2	no	—
192	C₇×C₂²⋊Q₈	—	2	2	no	—
193	C₇×C₂²⋊Q₈	—	2	2	no	—
194	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
195	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
196	C₇×#121	—	2	1	no	—
197	C₇×#121	—	2	1	no	—
198	C₇×#121	—	2	2	no	—
199	C₇×#121	—	2	1	no	—
200	C₇×#121	—	2	1	no	—
201	C₇×#121	—	2	2	no	—
202	C₇×#121	—	2	2	no	—
203	C₇×#121	C₂³	1	2	yes	—
204	C₇×#121	C₂³	1	1	yes	characteristic
205	C₇×#121	C₂³	1	2	yes	—
206	C₇×#121	C₂³	1	1	yes	characteristic
207	C₇×#120	—	2	1	no	—
208	C₇×#120	—	2	2	no	—
209	C₄×C₇×Q₈	—	2	2	no	—
210	C₄×C₇×Q₈	—	2	2	no	—
211	C₄×C₇×Q₈	—	2	2	no	—
212	C₄×C₇×Q₈	—	2	2	no	—
213	C₄×C₇×Q₈	C₂³	1	2	yes	—
214	C₄×C₇×D₄	—	2	1	no	—
215	C₄×C₇×D₄	—	2	1	no	—
216	C₄×C₇×D₄	—	2	2	no	—
217	C₄×C₇×D₄	—	2	1	no	—
218	C₄×C₇×D₄	—	2	1	no	—
219	C₄×C₇×D₄	—	2	2	no	—
220	C₄×C₇×D₄	—	2	2	no	—
221	C₄×C₇×D₄	C₂³	1	2	yes	—
222	C₄×C₇×D₄	C₂³	1	2	yes	—
223	C₄×C₇×D₄	C₂³	1	2	yes	—
224	C₇×#117	—	2	1	no	—
225	C₇×#117	—	2	1	no	—
226	C₇×#117	—	2	1	no	—
227	C₇×#117	—	2	1	no	—
228	C₇×#117	—	2	1	no	—
229	C₇×#117	—	2	2	no	—
230	C₇×#117	D₄	1	2	yes	—
231	C₇×#117	D₄	1	1	yes	characteristic
232	C₇×#117	D₄	1	1	yes	characteristic
233	C₇×#117	C₂³	1	2	yes	—
234	C₇×#117	C₂³	1	1	yes	characteristic
235	C₇×#117	C₂³	1	1	yes	characteristic
236	C₇×#117	C₂³	1	2	yes	—
237	C₇×#117	C₂³	1	1	yes	characteristic
238	C₇×#117	C₂³	1	1	yes	characteristic
239	C₇×#117	C₂³	1	1	yes	characteristic
240	C₇×#117	C₂³	1	1	yes	characteristic
241	C₇×#117	C₂³	1	1	yes	characteristic
242	C₇×#117	C₂³	1	2	yes	—
243	C₂×C₇×C₄⋊C₄	—	2	1	no	—
244	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
245	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
246	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
254	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
255	C₂×C₇×C₂²⋊C₄	D₄	1	2	yes	—
256	C₂×C₄²×C₇	—	2	1	no	—
257	C₂×C₄²×C₇	—	2	1	no	—
258	C₂×C₄²×C₇	C₂³	1	2	yes	—
259	C₇×#107	C₂³	1	1	yes	characteristic
260	C₇×#107	C₂³	1	1	yes	characteristic
261	C₇×#107	C₂³	1	2	yes	—
262	C₇×#107	C₂³	1	2	yes	—
263	C₇×#107	C₂³	1	2	yes	—
264	C₇×#107	C₂³	1	2	yes	—
265	C₇×#107	C₂³	1	2	yes	—
266	C₇×#107	C₂³	1	1	yes	characteristic
267	C₇×#107	C₂³	1	1	yes	characteristic
268	C₇×#107	C₂³	1	2	yes	—
269	C₇×#106	C₂³	1	2	yes	—
270	C₇×#106	C₂³	1	2	yes	—
271	C₇×#106	C₂³	1	1	yes	characteristic
272	C₇×#106	C₂³	1	1	yes	characteristic
273	C₇×#106	C₂³	1	2	yes	—
274	C₇×#106	C₂³	1	2	yes	—
275	C₇×#106	C₂³	1	2	yes	—
276	C₇×#106	C₂³	1	1	yes	characteristic
277	C₇×#106	C₂³	1	1	yes	characteristic
278	C₇×#106	C₂³	1	2	yes	—
279	C₇×C₄⋊C₈	C₂³	1	2	yes	—
280	C₇×C₄⋊C₈	C₂³	1	2	yes	—
281	C₇×C₄⋊C₈	C₂³	1	2	yes	—
282	C₇×C₄⋊C₈	C₂³	1	2	yes	—
283	C₇×#103	C₂³	1	1	yes	characteristic
284	C₇×#103	C₂³	1	2	yes	—
285	C₇×#103	C₂³	1	1	yes	characteristic
286	C₇×#103	C₂³	1	2	yes	—
287	C₇×#103	C₂³	1	1	yes	characteristic
288	C₇×#103	C₂³	1	1	yes	characteristic
289	C₇×#102	C₂³	1	1	yes	characteristic
290	C₇×#102	C₂³	1	2	yes	—
291	C₇×#102	C₂³	1	2	yes	—
292	C₇×#102	C₂³	1	2	yes	—
293	C₇×#102	C₂³	1	2	yes	—
294	C₇×#102	C₂³	1	2	yes	—
295	C₇×#102	C₂³	1	1	yes	characteristic
296	C₇×#102	C₂³	1	2	yes	—
297	C₇×#102	C₂³	1	2	yes	—
298	C₇×#102	C₂³	1	2	yes	—
299	C₇×#102	C₂³	1	2	yes	—
300	C₇×#102	C₂³	1	1	yes	characteristic
301	C₇×#102	C₂³	1	2	yes	—
302	C₇×#102	C₂³	1	1	yes	characteristic
303	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₇×#97	C₂³	1	2	yes	—
310	C₇×#97	C₂³	1	2	yes	—
311	C₄×C₇×C₈	C₂³	1	2	yes	—
312	C₄×C₇×C₈	C₂³	1	2	yes	—
313	#3494	C₂×C₇	1	1	yes	characteristic
314	#3458	C₂×C₇	1	1	yes	characteristic, complemented
315	#3244	C₂×C₇	1	2	yes	complemented
316	#3243	C₂×C₇	1	2	yes	complemented
317	#3241	C₂×C₇	1	2	yes	complemented
318	#3241	C₂×C₇	1	2	yes	complemented
319	#3240	C₂×C₇	1	2	yes	complemented
320	#3235	C₂×C₇	1	2	yes	complemented
321	#3233	C₂×C₇	1	2	yes	complemented
322	#3228	C₂×C₇	1	2	yes	complemented
323	#3164	C₂×C₇	1	1	yes	characteristic, complemented
324	#3163	C₂×C₇	1	1	yes	characteristic, complemented
325	#3136	C₂×C₇	1	1	yes	characteristic, complemented
326	#3136	C₂×C₇	1	1	yes	characteristic, complemented
327	#3094	C₂×C₇	1	1	yes	characteristic, complemented
328	#3093	C₂×C₇	1	1	yes	characteristic, complemented
329	#3091	C₂×C₇	1	1	yes	characteristic, complemented
330	C₂×#482	C₂×C₇	1	1	yes	characteristic, complemented
331	#3084	C₂×C₇	1	1	yes	characteristic, complemented
332	#3083	C₂×C₇	1	1	yes	characteristic, complemented
333	#3081	C₂×C₇	1	1	yes	characteristic, complemented
334	#3081	C₂×C₇	1	1	yes	characteristic, complemented
335	#2924	C₂×C₇	1	1	yes	characteristic, complemented
336	C₂⁴×C₇	—	2	1	no	—
337	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
338	C₇×#41	—	2	2	no	—
339	C₇×#41	—	2	2	no	—
340	C₇×#41	—	8	4	no	—
341	C₂×C₇×Q₈	—	2	2	no	—
342	C₂×C₇×Q₈	—	2	2	no	—
343	C₂×C₇×Q₈	—	2	2	no	—
344	C₂×C₇×Q₈	—	2	2	no	—
345	C₂×C₇×Q₈	—	2	2	no	—
346	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
347	C₂×C₇×D₄	—	2	1	no	—
348	C₂×C₇×D₄	—	2	1	no	—
349	C₂×C₇×D₄	—	2	2	no	—
350	C₂×C₇×D₄	—	2	1	no	—
351	C₂×C₇×D₄	—	2	2	no	—
352	C₂×C₇×D₄	—	2	1	no	—
353	C₂×C₇×D₄	—	2	2	no	—
354	C₂×C₇×D₄	—	2	2	no	—
355	C₂×C₇×D₄	—	2	2	no	—
356	C₂×C₇×D₄	—	2	2	no	—
357	C₂×C₇×D₄	—	8	2	no	—
358	C₂×C₇×D₄	C₂⁴	1	2	yes	—
359	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₇	—	2	2	no	—
361	C₂²×C₄×C₇	—	2	2	no	—
362	C₂²×C₄×C₇	—	2	1	no	—
363	C₂²×C₄×C₇	—	2	1	no	—
364	C₂²×C₄×C₇	—	2	1	no	—
365	C₂²×C₄×C₇	—	2	1	no	—
366	C₂²×C₄×C₇	—	2	1	no	—
367	C₂²×C₄×C₇	—	2	1	no	—
368	C₂²×C₄×C₇	—	2	2	no	—
369	C₂²×C₄×C₇	—	2	2	no	—
370	C₂²×C₄×C₇	—	2	2	no	—
371	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
373	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
375	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
376	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
379	C₇×M₁₆	—	2	2	no	—
380	C₇×M₁₆	—	2	2	no	—
381	C₂×C₇×C₈	—	2	2	no	—
382	C₂×C₇×C₈	—	2	2	no	—
383	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
384	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
385	C₂×C₇×C₈	C₂⁴	1	2	yes	—
386	C₂×C₇×C₈	C₂⁴	1	2	yes	—
387	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
388	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
389	C₇×C₄⋊C₄	—	2	1	no	—
390	C₇×C₄⋊C₄	—	2	2	no	—
391	C₇×C₄⋊C₄	—	2	1	no	—
392	C₇×C₄⋊C₄	—	2	1	no	—
393	C₇×C₄⋊C₄	—	2	1	no	—
394	C₇×C₄⋊C₄	—	2	1	no	—
395	C₇×C₄⋊C₄	—	2	1	no	—
396	C₇×C₄⋊C₄	—	2	2	no	—
397	C₇×C₄⋊C₄	—	2	2	no	—
398	C₇×C₄⋊C₄	—	2	2	no	—
399	C₇×C₄⋊C₄	—	2	1	no	—
400	C₇×C₄⋊C₄	—	2	2	no	—
401	C₇×C₄⋊C₄	—	2	2	no	—
402	C₇×C₄⋊C₄	—	2	2	no	—
403	C₇×C₄⋊C₄	—	2	2	no	—
404	C₇×C₄⋊C₄	—	2	2	no	—
405	C₇×C₄⋊C₄	—	2	2	no	—
406	C₇×C₄⋊C₄	—	2	2	no	—
407	C₇×C₄⋊C₄	—	2	2	no	—
408	C₇×C₄⋊C₄	—	2	2	no	—
409	C₇×C₄⋊C₄	—	2	2	no	—
410	C₇×C₄⋊C₄	—	2	2	no	—
411	C₇×C₄⋊C₄	—	2	2	no	—
412	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
414	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
416	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
418	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
423	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
425	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
426	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₇×C₂²⋊C₄	—	2	1	no	—
428	C₇×C₂²⋊C₄	—	2	2	no	—
429	C₇×C₂²⋊C₄	—	2	1	no	—
430	C₇×C₂²⋊C₄	—	2	1	no	—
431	C₇×C₂²⋊C₄	—	2	2	no	—
432	C₇×C₂²⋊C₄	—	2	1	no	—
433	C₇×C₂²⋊C₄	—	2	1	no	—
434	C₇×C₂²⋊C₄	—	2	1	no	—
435	C₇×C₂²⋊C₄	—	2	1	no	—
436	C₇×C₂²⋊C₄	—	2	2	no	—
437	C₇×C₂²⋊C₄	—	2	2	no	—
438	C₇×C₂²⋊C₄	—	2	2	no	—
439	C₇×C₂²⋊C₄	—	2	2	no	—
440	C₇×C₂²⋊C₄	—	2	2	no	—
441	C₇×C₂²⋊C₄	—	2	2	no	—
442	C₇×C₂²⋊C₄	—	2	1	no	—
443	C₇×C₂²⋊C₄	—	2	2	no	—
444	C₇×C₂²⋊C₄	—	2	1	no	—
445	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
446	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
447	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
449	C₄²×C₇	—	2	2	no	—
450	C₄²×C₇	—	2	1	no	—
451	C₄²×C₇	—	2	1	no	—
452	C₄²×C₇	—	2	2	no	—
453	C₄²×C₇	—	2	1	no	—
454	C₄²×C₇	—	2	1	no	—
455	C₄²×C₇	—	2	2	no	—
456	C₄²×C₇	—	2	1	no	—
457	C₄²×C₇	C₂×D₄	1	2	yes	—
458	C₄²×C₇	C₂×D₄	1	2	yes	—
459	C₄²×C₇	C₂⁴	1	2	yes	—
460	C₄²×C₇	C₂⁴	1	2	yes	—
461	#555	—	2	1	no	—
462	#553	—	2	1	no	—
463	#553	—	2	1	no	—
464	#551	—	2	2	no	—
465	#547	—	2	1	no	—
466	#546	—	2	2	no	—
467	#544	—	2	1	no	—
468	#544	—	2	1	no	—
469	#544	C₂²×C₇	1	1	yes	characteristic
470	#544	C₂²×C₇	1	1	yes	characteristic
471	#544	C₂²×C₇	1	1	yes	characteristic
472	#544	C₂²×C₇	1	1	yes	characteristic
473	#544	C₂²×C₇	1	1	yes	characteristic
474	#544	C₂²×C₇	1	2	yes	complemented
475	#544	C₂²×C₇	1	2	yes	complemented
476	#543	—	2	2	no	—
477	#542	C₂²×C₇	1	2	yes	—
478	#540	C₂²×C₇	1	2	yes	—
479	#535	C₂²×C₇	1	1	yes	characteristic
480	#533	—	2	2	no	—
481	#533	—	2	1	no	—
482	#533	—	2	1	no	—
483	#533	C₂²×C₇	1	2	yes	complemented
484	#533	C₂²×C₇	1	2	yes	complemented
485	#532	C₂²×C₇	1	2	yes	—
486	#529	C₂²×C₇	1	2	yes	—
487	#525	C₂²×C₇	1	1	yes	characteristic
488	C₂×#121	C₂²×C₇	1	1	yes	characteristic
489	#520	C₂²×C₇	1	1	yes	characteristic
490	#518	C₂²×C₇	1	1	yes	characteristic
491	C₂×#117	C₂²×C₇	1	1	yes	characteristic
492	C₂×#117	C₂²×C₇	1	1	yes	characteristic
493	C₂×#117	C₂²×C₇	1	1	yes	characteristic
494	#501	C₂²×C₇	1	2	yes	complemented
495	#501	C₂²×C₇	1	2	yes	complemented
496	#501	C₂²×C₇	1	2	yes	complemented
497	#501	C₂²×C₇	1	2	yes	complemented
498	#500	C₂²×C₇	1	2	yes	complemented
499	#499	C₂²×C₇	1	2	yes	complemented
500	#499	C₂²×C₇	1	2	yes	complemented
501	#498	C₂²×C₇	1	2	yes	complemented
502	#490	C₂²×C₇	1	2	yes	complemented
503	#490	C₂²×C₇	1	2	yes	complemented
504	#489	C₂²×C₇	1	2	yes	complemented
505	#489	C₂²×C₇	1	2	yes	complemented
506	#488	C₂²×C₇	1	2	yes	complemented
507	#488	C₂²×C₇	1	2	yes	complemented
508	#486	C₂²×C₇	1	2	yes	complemented
509	#486	C₂²×C₇	1	2	yes	complemented
510	#485	C₂²×C₇	1	1	yes	characteristic, complemented
511	#485	C₂²×C₇	1	1	yes	characteristic, complemented
512	#485	C₂²×C₇	1	2	yes	complemented
513	#485	C₂²×C₇	1	2	yes	complemented
514	#484	C₂²×C₇	1	1	yes	characteristic, complemented
515	#483	C₂²×C₇	1	1	yes	characteristic, complemented
516	#482	C₂²×C₇	1	2	yes	—
517	#482	C₂²×C₇	1	2	yes	—
518	#482	C₂²×C₇	1	2	yes	—
519	#482	C₂²×C₇	1	2	yes	—
520	#482	C₂²×C₇	1	2	yes	—
521	#482	C₂²×C₇	1	2	yes	—
522	#482	C₂²×C₇	1	1	yes	characteristic, complemented
523	#482	C₂²×C₇	1	1	yes	characteristic, complemented
524	#482	C₂²×C₇	1	2	yes	complemented
525	#482	C₂²×C₇	1	2	yes	complemented
526	#481	C₂²×C₇	1	2	yes	—
527	#481	C₂²×C₇	1	1	yes	characteristic, complemented
528	#480	C₂²×C₇	1	2	yes	—
529	#480	C₂²×C₇	1	1	yes	characteristic, complemented
530	#479	C₂²×C₇	1	2	yes	complemented
531	#479	C₂²×C₇	1	2	yes	complemented
532	#478	C₂²×C₇	1	2	yes	complemented
533	#478	C₂²×C₇	1	2	yes	complemented
534	#478	C₂²×C₇	1	2	yes	complemented
535	#478	C₂²×C₇	1	2	yes	complemented
536	#478	C₂²×C₇	1	2	yes	complemented
537	#478	C₂²×C₇	1	2	yes	complemented
538	#477	C₂²×C₇	1	2	yes	complemented
539	#476	C₂²×C₇	1	2	yes	complemented
540	#476	C₂²×C₇	1	2	yes	complemented
541	#476	C₂²×C₇	1	2	yes	complemented
542	#475	C₂²×C₇	1	2	yes	complemented
543	#474	C₂²×C₇	1	2	yes	complemented
544	#474	C₂²×C₇	1	2	yes	complemented
545	#474	C₂²×C₇	1	2	yes	complemented
546	#433	C₂²×C₇	1	2	yes	complemented
547	#433	C₂²×C₇	1	2	yes	complemented
548	#432	C₂²×C₇	1	2	yes	complemented
549	#431	C₂²×C₇	1	2	yes	complemented
550	#428	C₂²×C₇	1	1	yes	characteristic
551	#428	C₂²×C₇	1	1	yes	characteristic
552	#428	C₂²×C₇	1	1	yes	characteristic
553	#428	C₂²×C₇	1	1	yes	characteristic
554	#427	C₂²×C₇	1	1	yes	characteristic
555	#427	C₂²×C₇	1	1	yes	characteristic
556	C₂×#107	C₂²×C₇	1	1	yes	characteristic
557	C₂×#106	C₂²×C₇	1	1	yes	characteristic
558	#424	C₂²×C₇	1	1	yes	characteristic
559	#424	C₂²×C₇	1	1	yes	characteristic
560	#418	C₂²×C₇	1	1	yes	characteristic
561	#418	C₂²×C₇	1	1	yes	characteristic
562	#417	C₂²×C₇	1	1	yes	characteristic
563	#417	C₂²×C₇	1	1	yes	characteristic
564	#416	C₂²×C₇	1	1	yes	characteristic
565	#416	C₂²×C₇	1	1	yes	characteristic
566	C₂×#102	C₂²×C₇	1	1	yes	characteristic
567	C₂×#102	C₂²×C₇	1	1	yes	characteristic
568	#407	C₂²×C₇	1	1	yes	characteristic
569	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
570	#405	C₂²×C₇	1	1	yes	characteristic
571	#405	C₂²×C₇	1	1	yes	characteristic
572	C₂³×C₇	—	2	2	no	—
573	C₂³×C₇	—	2	2	no	—
574	C₂³×C₇	—	2	1	no	—
575	C₂³×C₇	—	4	1	no	—
576	C₂³×C₇	—	4	1	no	—
577	C₂³×C₇	—	4	2	no	—
578	C₂³×C₇	—	8	1	no	—
579	C₂³×C₇	—	8	1	no	—
580	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
581	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
582	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
583	C₇×Q₈	—	2	1	no	—
584	C₇×Q₈	—	2	1	no	—
585	C₇×Q₈	—	8	2	no	—
586	C₇×Q₈	—	8	2	no	—
587	C₇×Q₈	—	8	2	no	—
588	C₇×Q₈	—	8	2	no	—
589	C₇×Q₈	—	8	2	no	—
590	C₇×D₄	—	2	2	no	—
591	C₇×D₄	—	2	2	no	—
592	C₇×D₄	—	2	1	no	—
593	C₇×D₄	—	2	1	no	—
594	C₇×D₄	—	4	4	no	—
595	C₇×D₄	—	4	2	no	—
596	C₇×D₄	—	4	2	no	—
597	C₇×D₄	—	4	2	no	—
598	C₇×D₄	—	8	2	no	—
599	C₇×D₄	—	8	2	no	—
600	C₇×D₄	—	8	1	no	—
601	C₇×D₄	—	8	2	no	—
602	C₂×C₄×C₇	—	2	2	no	—
603	C₂×C₄×C₇	—	2	2	no	—
604	C₂×C₄×C₇	—	2	2	no	—
605	C₂×C₄×C₇	—	2	1	no	—
606	C₂×C₄×C₇	—	2	1	no	—
607	C₂×C₄×C₇	—	2	1	no	—
608	C₂×C₄×C₇	—	2	1	no	—
609	C₂×C₄×C₇	—	2	1	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	2	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	—	2	1	no	—
618	C₂×C₄×C₇	—	2	2	no	—
619	C₂×C₄×C₇	—	4	2	no	—
620	C₂×C₄×C₇	—	4	2	no	—
621	C₂×C₄×C₇	—	4	2	no	—
622	C₂×C₄×C₇	—	8	2	no	—
623	C₂×C₄×C₇	—	8	2	no	—
624	C₂×C₄×C₇	—	8	2	no	—
625	C₂×C₄×C₇	—	8	1	no	—
626	C₂×C₄×C₇	—	8	1	no	—
627	C₂×C₄×C₇	—	8	1	no	—
628	C₂×C₄×C₇	—	8	1	no	—
629	C₂×C₄×C₇	—	8	1	no	—
630	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
631	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
632	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
633	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
634	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
635	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
636	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
637	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
638	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
639	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
640	C₇×C₈	—	2	1	no	—
641	C₇×C₈	—	2	1	no	—
642	C₇×C₈	—	2	1	no	—
643	C₇×C₈	—	2	1	no	—
644	C₇×C₈	—	2	2	no	—
645	C₇×C₈	—	2	2	no	—
646	C₂×#41	—	2	2	no	—
647	C₂×#41	C₂³×C₇	1	1	yes	characteristic
648	C₂²×D₄	—	2	1	no	—
649	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
651	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
652	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
653	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
654	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
655	C₄⋊Q₈	—	2	1	no	—
656	C₄⋊Q₈	—	2	1	no	—
657	C₄⋊Q₈	—	2	1	no	—
658	C₄⋊Q₈	—	2	1	no	—
659	C₄⋊Q₈	—	2	2	no	—
660	C₄⋊Q₈	—	2	2	no	—
661	C₄⋊Q₈	—	2	1	no	—
662	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
663	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
664	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
665	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
666	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
667	#127	C₂³×C₇	1	2	yes	—
668	#126	—	2	2	no	—
669	#126	—	2	2	no	—
670	#125	—	2	1	no	—
671	#125	—	2	1	no	—
672	#125	—	2	1	no	—
673	#125	—	2	1	no	—
674	#125	—	2	2	no	—
675	#125	—	2	2	no	—
676	#125	—	2	1	no	—
677	#125	C₂³×C₇	1	2	yes	—
678	#125	C₂³×C₇	1	2	yes	—
679	#125	C₂³×C₇	1	2	yes	—
680	#125	C₂³×C₇	1	2	yes	—
681	#125	C₂³×C₇	1	2	yes	—
682	#124	—	2	2	no	—
683	#124	—	2	2	no	—
684	#124	C₂³×C₇	1	2	yes	—
685	#123	—	2	1	no	—
686	#123	—	2	2	no	—
687	#123	—	2	2	no	—
688	#123	—	2	2	no	—
689	#123	—	2	2	no	—
690	C₂²⋊Q₈	—	2	2	no	—
691	C₂²⋊Q₈	—	2	2	no	—
692	C₂²⋊Q₈	—	2	2	no	—
693	C₂²⋊Q₈	—	2	2	no	—
694	C₂²⋊Q₈	—	2	2	no	—
695	C₂²⋊Q₈	—	2	2	no	—
696	C₂²⋊Q₈	—	2	2	no	—
697	C₂²⋊Q₈	—	2	2	no	—
698	C₂²⋊Q₈	—	2	2	no	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
705	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
706	#121	—	2	1	no	—
707	#121	—	2	1	no	—
708	#121	—	2	2	no	—
709	#121	—	2	1	no	—
710	#121	—	2	1	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	C₂³×C₇	1	2	yes	—
714	#121	C₂³×C₇	1	2	yes	—
715	#121	C₂³×C₇	1	1	yes	characteristic
716	#121	C₂³×C₇	1	1	yes	characteristic
717	#120	—	2	1	no	—
718	#120	—	2	2	no	—
719	C₄×Q₈	—	2	2	no	—
720	C₄×Q₈	—	2	2	no	—
721	C₄×Q₈	—	2	2	no	—
722	C₄×Q₈	—	2	2	no	—
723	C₄×Q₈	C₂³×C₇	1	2	yes	—
724	C₄×D₄	—	2	1	no	—
725	C₄×D₄	—	2	1	no	—
726	C₄×D₄	—	2	2	no	—
727	C₄×D₄	—	2	1	no	—
728	C₄×D₄	—	2	1	no	—
729	C₄×D₄	—	2	2	no	—
730	C₄×D₄	—	2	2	no	—
731	C₄×D₄	C₂³×C₇	1	2	yes	—
732	C₄×D₄	C₂³×C₇	1	2	yes	—
733	C₄×D₄	C₂³×C₇	1	2	yes	—
734	#117	—	2	1	no	—
735	#117	—	2	1	no	—
736	#117	—	2	1	no	—
737	#117	—	2	1	no	—
738	#117	—	2	1	no	—
739	#117	—	2	2	no	—
740	#117	C₇×D₄	1	2	yes	—
741	#117	C₇×D₄	1	1	yes	characteristic
742	#117	C₇×D₄	1	1	yes	characteristic
743	#117	C₂³×C₇	1	2	yes	—
744	#117	C₂³×C₇	1	1	yes	characteristic
745	#117	C₂³×C₇	1	1	yes	characteristic
746	#117	C₂³×C₇	1	1	yes	characteristic
747	#117	C₂³×C₇	1	1	yes	characteristic
748	#117	C₂³×C₇	1	2	yes	—
749	#117	C₂³×C₇	1	1	yes	characteristic
750	#117	C₂³×C₇	1	1	yes	characteristic
751	#117	C₂³×C₇	1	1	yes	characteristic
752	#117	C₂³×C₇	1	2	yes	—
753	C₂×C₄⋊C₄	—	2	1	no	—
754	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	—	2	1	no	—
762	C₂×C₂²⋊C₄	—	2	1	no	—
763	C₂×C₂²⋊C₄	—	2	1	no	—
764	C₂×C₂²⋊C₄	—	2	2	no	—
765	C₂×C₂²⋊C₄	C₇×D₄	1	2	yes	—
766	C₂×C₄²	—	2	1	no	—
767	C₂×C₄²	—	2	1	no	—
768	C₂×C₄²	C₂³×C₇	1	2	yes	—
769	#107	C₂³×C₇	1	2	yes	—
770	#107	C₂³×C₇	1	2	yes	—
771	#107	C₂³×C₇	1	1	yes	characteristic
772	#107	C₂³×C₇	1	1	yes	characteristic
773	#107	C₂³×C₇	1	1	yes	characteristic
774	#107	C₂³×C₇	1	1	yes	characteristic
775	#107	C₂³×C₇	1	2	yes	—
776	#107	C₂³×C₇	1	2	yes	—
777	#107	C₂³×C₇	1	2	yes	—
778	#107	C₂³×C₇	1	2	yes	—
779	#106	C₂³×C₇	1	2	yes	—
780	#106	C₂³×C₇	1	2	yes	—
781	#106	C₂³×C₇	1	1	yes	characteristic
782	#106	C₂³×C₇	1	1	yes	characteristic
783	#106	C₂³×C₇	1	1	yes	characteristic
784	#106	C₂³×C₇	1	1	yes	characteristic
785	#106	C₂³×C₇	1	2	yes	—
786	#106	C₂³×C₇	1	2	yes	—
787	#106	C₂³×C₇	1	2	yes	—
788	#106	C₂³×C₇	1	2	yes	—
789	C₄⋊C₈	C₂³×C₇	1	2	yes	—
790	C₄⋊C₈	C₂³×C₇	1	2	yes	—
791	C₄⋊C₈	C₂³×C₇	1	2	yes	—
792	C₄⋊C₈	C₂³×C₇	1	2	yes	—
793	#103	C₂³×C₇	1	1	yes	characteristic
794	#103	C₂³×C₇	1	1	yes	characteristic
795	#103	C₂³×C₇	1	1	yes	characteristic
796	#103	C₂³×C₇	1	1	yes	characteristic
797	#103	C₂³×C₇	1	2	yes	—
798	#103	C₂³×C₇	1	2	yes	—
799	#102	C₂³×C₇	1	2	yes	—
800	#102	C₂³×C₇	1	2	yes	—
801	#102	C₂³×C₇	1	2	yes	—
802	#102	C₂³×C₇	1	2	yes	—
803	#102	C₂³×C₇	1	1	yes	characteristic
804	#102	C₂³×C₇	1	1	yes	characteristic
805	#102	C₂³×C₇	1	1	yes	characteristic
806	#102	C₂³×C₇	1	1	yes	characteristic
807	#102	C₂³×C₇	1	2	yes	—
808	#102	C₂³×C₇	1	2	yes	—
809	#102	C₂³×C₇	1	2	yes	—
810	#102	C₂³×C₇	1	2	yes	—
811	#102	C₂³×C₇	1	2	yes	—
812	#102	C₂³×C₇	1	2	yes	—
813	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
814	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
815	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
816	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
817	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
818	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
819	#97	C₂³×C₇	1	2	yes	—
820	#97	C₂³×C₇	1	2	yes	—
821	C₄×C₈	C₂³×C₇	1	2	yes	—
822	C₄×C₈	C₂³×C₇	1	2	yes	—
823	C₂²×C₇	—	2	1	no	—
824	C₂²×C₇	—	2	1	no	—
825	C₂²×C₇	—	2	1	no	—
826	C₂²×C₇	—	2	1	no	—
827	C₂²×C₇	—	2	1	no	—
828	C₂²×C₇	—	2	1	no	—
829	C₂²×C₇	—	2	1	no	—
830	C₂²×C₇	—	2	1	no	—
831	C₂²×C₇	—	4	2	no	—
832	C₂²×C₇	—	4	1	no	—
833	C₂²×C₇	—	4	1	no	—
834	C₂²×C₇	—	4	2	no	—
835	C₂²×C₇	—	4	1	no	—
836	C₂²×C₇	—	4	2	no	—
837	C₂²×C₇	—	8	2	no	—
838	C₂²×C₇	—	16	2	no	—
839	C₂²×C₇	#536	1	2	yes	—
840	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
841	C₄×C₇	—	2	2	no	—
842	C₄×C₇	—	2	2	no	—
843	C₄×C₇	—	2	2	no	—
844	C₄×C₇	—	2	2	no	—
845	C₄×C₇	—	2	1	no	—
846	C₄×C₇	—	2	1	no	—
847	C₄×C₇	—	4	1	no	—
848	C₄×C₇	—	4	2	no	—
849	C₄×C₇	—	4	1	no	—
850	C₄×C₇	—	4	1	no	—
851	C₄×C₇	—	4	2	no	—
852	C₄×C₇	—	4	1	no	—
853	C₄×C₇	—	4	2	no	—
854	C₄×C₇	—	4	1	no	—
855	C₄×C₇	—	4	1	no	—
856	C₄×C₇	—	4	1	no	—
857	C₄×C₇	#536	1	2	yes	—
858	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
859	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
860	C₂⁴	—	2	1	no	—
861	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
862	#41	—	2	2	no	—
863	#41	—	2	2	no	—
864	#41	—	8	4	no	—
865	C₂×Q₈	—	2	2	no	—
866	C₂×Q₈	—	2	2	no	—
867	C₂×Q₈	—	2	2	no	—
868	C₂×Q₈	—	2	2	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
871	C₂×D₄	—	2	1	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	1	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	1	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	8	2	no	—
882	C₂×D₄	C₂⁴×C₇	1	2	yes	—
883	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
896	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
897	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
898	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
899	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
900	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
902	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
903	M₁₆	—	2	2	no	—
904	M₁₆	—	2	2	no	—
905	C₂×C₈	—	2	2	no	—
906	C₂×C₈	—	2	2	no	—
907	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
908	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
909	C₂×C₈	C₂⁴×C₇	1	2	yes	—
910	C₂×C₈	C₂⁴×C₇	1	2	yes	—
911	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
912	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
937	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
938	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
939	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
940	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
941	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
942	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
943	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
944	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
945	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
946	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
947	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
948	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
949	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
950	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
951	C₂²⋊C₄	—	2	1	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	1	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	1	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	1	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
970	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
971	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
972	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
973	C₄²	—	2	2	no	—
974	C₄²	—	2	1	no	—
975	C₄²	—	2	1	no	—
976	C₄²	—	2	2	no	—
977	C₄²	—	2	1	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	2	no	—
980	C₄²	—	2	1	no	—
981	C₄²	C₂×C₇×D₄	1	2	yes	—
982	C₄²	C₂×C₇×D₄	1	2	yes	—
983	C₄²	C₂⁴×C₇	1	2	yes	—
984	C₄²	C₂⁴×C₇	1	2	yes	—
985	C₂×C₇	—	2	2	no	—
986	C₂×C₇	—	4	1	no	—
987	C₂×C₇	—	4	1	no	—
988	C₂×C₇	—	8	1	no	—
989	C₂×C₇	—	8	2	no	—
990	C₂×C₇	C₂×#536	1	1	yes	characteristic
991	C₂×C₇	#3584	1	1	yes	characteristic
992	C₂×C₇	#3585	1	1	yes	characteristic
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	1	no	—
996	C₂³	—	4	1	no	—
997	C₂³	—	4	1	no	—
998	C₂³	—	4	2	no	—
999	C₂³	—	8	1	no	—
1000	C₂³	—	8	1	no	—
1001	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1002	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1003	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1004	Q₈	—	2	1	no	—
1005	Q₈	—	2	1	no	—
1006	Q₈	—	8	2	no	—
1007	Q₈	—	8	2	no	—
1008	Q₈	—	8	2	no	—
1009	Q₈	—	8	2	no	—
1010	Q₈	—	8	2	no	—
1011	D₄	—	2	2	no	—
1012	D₄	—	2	2	no	—
1013	D₄	—	2	1	no	—
1014	D₄	—	2	1	no	—
1015	D₄	—	4	4	no	—
1016	D₄	—	4	2	no	—
1017	D₄	—	4	2	no	—
1018	D₄	—	4	2	no	—
1019	D₄	—	8	2	no	—
1020	D₄	—	8	2	no	—
1021	D₄	—	8	1	no	—
1022	D₄	—	8	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	4	2	no	—
1041	C₂×C₄	—	4	2	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	—	8	2	no	—
1045	C₂×C₄	—	8	2	no	—
1046	C₂×C₄	—	8	1	no	—
1047	C₂×C₄	—	8	1	no	—
1048	C₂×C₄	—	8	1	no	—
1049	C₂×C₄	—	8	1	no	—
1050	C₂×C₄	—	8	1	no	—
1051	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1052	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1053	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1054	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1055	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1056	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1057	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1058	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1059	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1060	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1061	C₈	—	2	1	no	—
1062	C₈	—	2	1	no	—
1063	C₈	—	2	1	no	—
1064	C₈	—	2	1	no	—
1065	C₈	—	2	2	no	—
1066	C₈	—	2	2	no	—
1067	C₇	#60875	1	1	yes	characteristic, direct product factor, Sylow
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	8	2	no	—
1083	C₂²	—	16	2	no	—
1084	C₂²	C₇×#536	1	2	yes	—
1085	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1086	C₄	—	2	2	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	C₇×#536	1	2	yes	—
1103	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1104	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1105	C₂	—	2	2	no	—
1106	C₂	—	4	1	no	—
1107	C₂	—	4	1	no	—
1108	C₂	—	8	2	no	—
1109	C₂	—	8	1	no	—
1110	C₂	C₂×C₇×#536	1	1	yes	characteristic
1111	C₂	C₇×#3584	1	1	yes	characteristic
1112	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3494	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₂×C₇×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#3458	C₂	semidirect
3. C₇×#3244	C₂	semidirect
4. C₇×#3243	C₂	semidirect
5. C₇×#3241	C₂	semidirect
6. C₇×#3241	C₂	semidirect
7. C₇×#3240	C₂	semidirect
8. C₇×#3235	C₂	semidirect
9. C₇×#3233	C₂	semidirect
10. C₇×#3228	C₂	semidirect
11. C₇×#3164	C₂	semidirect
12. C₇×#3163	C₂	semidirect
13. C₇×#3136	C₂	semidirect
14. C₇×#3136	C₂	semidirect
15. C₇×#3094	C₂	semidirect
16. C₇×#3093	C₂	semidirect
17. C₇×#3091	C₂	semidirect
18. C₂×C₇×#482	C₂	semidirect
19. C₇×#3084	C₂	semidirect
20. C₇×#3083	C₂	semidirect
21. C₇×#3081	C₂	semidirect
22. C₇×#3081	C₂	semidirect
23. C₇×#2924	C₂	semidirect
37. C₇×#544	C₂²	semidirect
38. C₇×#544	C₂²	semidirect
46. C₇×#533	C₂²	semidirect
47. C₇×#533	C₂²	semidirect
57. C₇×#501	C₂²	semidirect
58. C₇×#501	C₂²	semidirect
59. C₇×#501	C₂²	semidirect
60. C₇×#501	C₂²	semidirect
61. C₇×#500	C₂²	semidirect
62. C₇×#499	C₂²	semidirect
63. C₇×#499	C₂²	semidirect
64. C₇×#498	C₂²	semidirect
65. C₇×#490	C₂²	semidirect
66. C₇×#490	C₂²	semidirect
67. C₇×#489	C₂²	semidirect
68. C₇×#489	C₂²	semidirect
69. C₇×#488	C₂²	semidirect
70. C₇×#488	C₂²	semidirect
71. C₇×#486	C₂²	semidirect
72. C₇×#486	C₂²	semidirect
73. C₇×#485	C₂²	semidirect
74. C₇×#485	C₂²	semidirect
75. C₇×#485	C₂²	semidirect
76. C₇×#485	C₂²	semidirect
77. C₇×#484	C₂²	semidirect
78. C₇×#483	C₂²	semidirect
85. C₇×#482	C₂²	semidirect
86. C₇×#482	C₂²	semidirect
87. C₇×#482	C₂²	semidirect
88. C₇×#482	C₂²	semidirect
90. C₇×#481	C₂²	semidirect
92. C₇×#480	C₂²	semidirect
93. C₇×#479	C₂²	semidirect
94. C₇×#479	C₂²	semidirect
95. C₇×#478	C₂²	semidirect
96. C₇×#478	C₂²	semidirect
97. C₇×#478	C₂²	semidirect
98. C₇×#478	C₂²	semidirect
99. C₇×#478	C₂²	semidirect
100. C₇×#478	C₂²	semidirect
101. C₇×#477	C₂²	semidirect
102. C₇×#476	C₂²	semidirect
103. C₇×#476	C₂²	semidirect
104. C₇×#476	C₂²	semidirect
105. C₇×#475	C₂²	semidirect
106. C₇×#474	C₂²	semidirect
107. C₇×#474	C₂²	semidirect
108. C₇×#474	C₂²	semidirect
109. C₇×#433	C₂²	semidirect
110. C₇×#433	C₂²	semidirect
111. C₇×#432	C₂²	semidirect
112. C₇×#431	C₂²	semidirect
135. #60875	C₇	direct (N × H)
314. #3458	C₂×C₇	semidirect
315. #3244	C₂×C₇	semidirect
316. #3243	C₂×C₇	semidirect
317. #3241	C₂×C₇	semidirect
318. #3241	C₂×C₇	semidirect
319. #3240	C₂×C₇	semidirect
320. #3235	C₂×C₇	semidirect
321. #3233	C₂×C₇	semidirect
322. #3228	C₂×C₇	semidirect
323. #3164	C₂×C₇	semidirect
324. #3163	C₂×C₇	semidirect
325. #3136	C₂×C₇	semidirect
326. #3136	C₂×C₇	semidirect
327. #3094	C₂×C₇	semidirect
328. #3093	C₂×C₇	semidirect
329. #3091	C₂×C₇	semidirect
330. C₂×#482	C₂×C₇	semidirect
331. #3084	C₂×C₇	semidirect
332. #3083	C₂×C₇	semidirect
333. #3081	C₂×C₇	semidirect
334. #3081	C₂×C₇	semidirect
335. #2924	C₂×C₇	semidirect
474. #544	C₂²×C₇	semidirect
475. #544	C₂²×C₇	semidirect
483. #533	C₂²×C₇	semidirect
484. #533	C₂²×C₇	semidirect
494. #501	C₂²×C₇	semidirect
495. #501	C₂²×C₇	semidirect
496. #501	C₂²×C₇	semidirect
497. #501	C₂²×C₇	semidirect
498. #500	C₂²×C₇	semidirect
499. #499	C₂²×C₇	semidirect
500. #499	C₂²×C₇	semidirect
501. #498	C₂²×C₇	semidirect
502. #490	C₂²×C₇	semidirect
503. #490	C₂²×C₇	semidirect
504. #489	C₂²×C₇	semidirect
505. #489	C₂²×C₇	semidirect
506. #488	C₂²×C₇	semidirect
507. #488	C₂²×C₇	semidirect
508. #486	C₂²×C₇	semidirect
509. #486	C₂²×C₇	semidirect
510. #485	C₂²×C₇	semidirect
511. #485	C₂²×C₇	semidirect
512. #485	C₂²×C₇	semidirect
513. #485	C₂²×C₇	semidirect
514. #484	C₂²×C₇	semidirect
515. #483	C₂²×C₇	semidirect
522. #482	C₂²×C₇	semidirect
523. #482	C₂²×C₇	semidirect
524. #482	C₂²×C₇	semidirect
525. #482	C₂²×C₇	semidirect
527. #481	C₂²×C₇	semidirect
529. #480	C₂²×C₇	semidirect
530. #479	C₂²×C₇	semidirect
531. #479	C₂²×C₇	semidirect
532. #478	C₂²×C₇	semidirect
533. #478	C₂²×C₇	semidirect
534. #478	C₂²×C₇	semidirect
535. #478	C₂²×C₇	semidirect
536. #478	C₂²×C₇	semidirect
537. #478	C₂²×C₇	semidirect
538. #477	C₂²×C₇	semidirect
539. #476	C₂²×C₇	semidirect
540. #476	C₂²×C₇	semidirect
541. #476	C₂²×C₇	semidirect
542. #475	C₂²×C₇	semidirect
543. #474	C₂²×C₇	semidirect
544. #474	C₂²×C₇	semidirect
545. #474	C₂²×C₇	semidirect
546. #433	C₂²×C₇	semidirect
547. #433	C₂²×C₇	semidirect
548. #432	C₂²×C₇	semidirect
549. #431	C₂²×C₇	semidirect
1067. C₇	#60875	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#3494	2
C₇×#3458	2
C₇×#3244	2
C₇×#3243	2
C₇×#3241	2
C₇×#3240	2
C₇×#3235	2
C₇×#3233	2
C₇×#3228	2
C₇×#3164	2
C₇×#3163	2
C₇×#3136	2
C₇×#3094	2
C₇×#3093	2
C₇×#3091	2
C₂×C₇×#482	2
C₇×#3084	2
C₇×#3083	2
C₇×#3081	2
C₇×#2924	2
#60875	7

Subgroups — C7×#60875 #13238091

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60875 #13238091