Subgroups — C₇×#62018 #13239234

Order 1792.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1106 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3401	C₂	1	2	yes	maximal, complemented
4	C₇×#3373	C₂	1	2	yes	maximal, complemented
5	C₇×#3316	C₂	1	2	yes	maximal, complemented
6	C₇×#3306	C₂	1	2	yes	maximal, complemented
7	C₇×#3295	C₂	1	2	yes	maximal, complemented
8	C₇×#3282	C₂	1	2	yes	maximal, complemented
9	C₇×#3267	C₂	1	2	yes	maximal, complemented
10	C₇×#3264	C₂	1	2	yes	maximal, complemented
11	C₇×#3263	C₂	1	2	yes	maximal, complemented
12	C₇×#3246	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3224	C₂	1	2	yes	maximal, complemented
14	C₇×#3215	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3125	C₂	1	2	yes	maximal, complemented
16	C₇×#3109	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3045	C₂	1	2	yes	maximal, complemented
18	C₂×C₇×#463	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2992	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂×C₇×#135	C₂²	1	2	yes	complemented
22	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₇×D₈	C₂²	1	1	yes	characteristic
24	C₇×#562	—	2	1	no	—
25	C₇×H(3,𝔽₄)	—	2	1	no	—
26	C₇×#559	C₂²	1	2	yes	complemented
27	C₇×#556	C₂²	1	1	yes	characteristic, complemented
28	C₇×#554	C₂²	1	2	yes	complemented
29	C₇×#552	—	2	1	no	—
30	C₇×#551	—	2	2	no	—
31	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₇×#548	—	2	1	no	—
33	C₇×#548	C₂²	1	2	yes	—
34	C₇×#547	C₂²	1	1	yes	characteristic, complemented
35	C₇×#547	C₂²	1	1	yes	characteristic, complemented
36	C₇×#546	—	2	2	no	—
37	C₇×#546	C₂²	1	2	yes	complemented
38	C₇×#546	C₂²	1	2	yes	complemented
39	C₇×D₄²	C₂²	1	2	yes	—
40	C₇×#542	C₂²	1	2	yes	complemented
41	C₇×#542	C₂²	1	2	yes	complemented
42	C₇×#539	—	2	2	no	—
43	C₇×#538	—	2	2	no	—
44	C₇×#538	—	2	1	no	—
45	C₇×#535	C₂²	1	2	yes	complemented
46	C₇×#534	—	2	1	no	—
47	C₇×#533	C₂²	1	1	yes	characteristic, complemented
48	C₇×#532	C₂²	1	1	yes	characteristic
49	C₇×#529	C₂²	1	1	yes	characteristic
50	C₂×C₇×#124	C₂²	1	1	yes	characteristic
51	C₇×#525	—	2	1	no	—
52	C₂×C₇×C₂²⋊Q₈	—	2	1	no	—
53	C₇×#520	C₂²	1	2	yes	complemented
54	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
55	C₇×#497	C₂²	1	2	yes	complemented
56	C₇×#496	C₂²	1	2	yes	—
57	C₇×#495	C₂²	1	2	yes	complemented
58	C₇×#489	C₂²	1	2	yes	complemented
59	C₇×#489	C₂²	1	2	yes	complemented
60	C₇×#486	C₂²	1	2	yes	complemented
61	C₇×#483	C₂²	1	2	yes	complemented
62	C₇×#481	C₂²	1	2	yes	complemented
63	C₇×#481	C₂²	1	2	yes	complemented
64	C₇×#476	C₂²	1	2	yes	complemented
65	C₇×#476	C₂²	1	1	yes	characteristic, complemented
66	C₇×#476	C₂²	1	2	yes	complemented
67	C₇×#476	C₂²	1	1	yes	characteristic, complemented
68	C₇×#475	C₂²	1	2	yes	complemented
69	C₇×#475	C₂²	1	2	yes	complemented
70	C₇×#470	C₂²	1	2	yes	complemented
71	C₇×#469	C₂²	1	2	yes	—
72	C₇×#465	C₂²	1	2	yes	complemented
73	C₇×#465	C₂²	1	2	yes	complemented
74	C₇×#465	C₂²	1	2	yes	complemented
75	C₇×#465	C₂²	1	2	yes	complemented
76	C₇×#464	C₂²	1	2	yes	complemented
77	C₇×#464	C₂²	1	2	yes	complemented
78	C₇×#464	C₂²	1	2	yes	complemented
79	C₇×#464	C₂²	1	2	yes	complemented
80	C₇×#463	C₂²	1	2	yes	complemented
81	C₇×#463	C₂²	1	2	yes	complemented
82	C₇×#463	C₂²	1	2	yes	complemented
83	C₇×#463	C₂²	1	2	yes	complemented
84	C₇×#463	C₂²	1	2	yes	complemented
85	C₇×#463	C₂²	1	2	yes	complemented
86	C₇×#461	C₂²	1	2	yes	complemented
87	C₇×#460	C₂²	1	2	yes	complemented
88	C₇×#460	C₂²	1	2	yes	complemented
89	C₇×#459	C₂²	1	2	yes	—
90	C₇×#459	C₂²	1	1	yes	characteristic, complemented
91	C₇×#459	C₂²	1	1	yes	characteristic, complemented
92	C₇×#452	C₂²	1	2	yes	complemented
93	C₇×#452	C₂²	1	2	yes	complemented
94	C₇×#451	C₂²	1	2	yes	complemented
95	C₇×#450	C₂²	1	2	yes	—
96	C₇×#450	C₂²	1	2	yes	complemented
97	C₇×#449	C₂²	1	2	yes	—
98	C₇×#449	C₂²	1	2	yes	complemented
99	C₇×#447	C₂²	1	2	yes	complemented
100	C₇×#447	C₂²	1	2	yes	complemented
101	C₇×#446	C₂²	1	2	yes	complemented
102	C₇×#442	C₂²	1	2	yes	complemented
103	C₇×#442	C₂²	1	2	yes	complemented
104	C₇×#442	C₂²	1	2	yes	complemented
105	C₇×#441	C₂²	1	2	yes	complemented
106	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
107	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
108	C₇×#435	C₂²	1	2	yes	complemented
109	C₇×#435	C₂²	1	2	yes	complemented
110	C₇×C₈×D₄	C₂²	1	2	yes	complemented
111	C₇×#433	C₂²	1	2	yes	complemented
112	C₇×#432	C₂²	1	1	yes	characteristic, complemented
113	C₇×#424	C₂²	1	2	yes	complemented
114	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
115	C₇×#417	C₂²	1	2	yes	complemented
116	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₇×#102	C₂²	1	1	yes	characteristic
118	C₂×C₇×#102	C₂²	1	2	yes	complemented
119	#62018	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
120	C₂×C₇×#41	—	2	1	no	—
121	C₂×C₇×#41	—	2	1	no	—
122	C₂×C₇×#41	C₂³	1	2	yes	—
123	C₂×C₇×#41	C₂³	1	2	yes	—
124	C₂²×C₇×Q₈	—	2	1	no	—
125	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
126	C₂²×C₇×D₄	—	2	2	no	—
127	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
128	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
129	C₂²×C₇×D₄	C₂³	1	2	yes	—
130	C₂³×C₄×C₇	—	2	1	no	—
131	C₇×AGL(1,ℤ/8)	—	4	4	no	—
132	C₇×#135	—	4	4	no	—
133	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
134	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
135	C₂×C₇×SD₁₆	—	4	2	no	—
136	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
137	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
138	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
139	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
141	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
142	C₂×C₇×D₈	—	4	2	no	—
143	C₂×C₇×D₈	C₂³	1	2	yes	—
144	C₂×C₇×D₈	C₂³	1	2	yes	—
145	C₂×C₇×D₈	C₂³	1	2	yes	—
146	C₂×C₇×D₈	C₂³	1	2	yes	—
147	C₂×C₇×M₁₆	C₂³	1	2	yes	—
148	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
149	C₂²×C₇×C₈	C₂³	1	2	yes	—
150	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
151	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
152	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₇×#127	C₂³	1	2	yes	—
156	C₇×#127	C₂³	1	1	yes	characteristic
157	C₇×#126	—	2	2	no	—
158	C₇×#126	—	2	2	no	—
159	C₇×#126	—	2	2	no	—
160	C₇×#126	D₄	1	2	yes	—
161	C₇×#125	—	2	2	no	—
162	C₇×#125	—	2	1	no	—
163	C₇×#125	D₄	1	1	yes	characteristic
164	C₇×#124	—	2	2	no	—
165	C₇×#124	—	2	2	no	—
166	C₇×#124	—	2	2	no	—
167	C₇×#124	—	2	2	no	—
168	C₇×#124	—	2	1	no	—
169	C₇×#124	—	2	1	no	—
170	C₇×#124	—	2	1	no	—
171	C₇×#124	D₄	1	1	yes	characteristic
172	C₇×#124	C₂³	1	2	yes	—
173	C₇×#124	C₂³	1	2	yes	—
174	C₇×#124	C₂³	1	2	yes	—
175	C₇×#124	C₂³	1	2	yes	—
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×#123	—	2	2	no	—
181	C₇×#123	—	2	2	no	—
182	C₇×#123	—	2	2	no	—
183	C₇×#123	—	2	2	no	—
184	C₇×#123	D₄	1	2	yes	—
185	C₇×C₂²⋊Q₈	—	2	1	no	—
186	C₇×C₂²⋊Q₈	—	2	1	no	—
187	C₇×C₂²⋊Q₈	—	2	2	no	—
188	C₇×C₂²⋊Q₈	—	2	1	no	—
189	C₇×C₂²⋊Q₈	—	2	1	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	—	2	2	no	—
195	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
196	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₇×#121	—	2	1	no	—
200	C₇×#121	—	2	2	no	—
201	C₇×#121	—	2	1	no	—
202	C₇×#121	—	2	2	no	—
203	C₇×#121	—	2	2	no	—
204	C₇×#121	—	2	2	no	—
205	C₇×#121	—	2	2	no	—
206	C₇×#121	—	2	2	no	—
207	C₇×#121	D₄	1	1	yes	characteristic
208	C₇×#121	C₂³	1	2	yes	—
209	C₇×#121	C₂³	1	2	yes	—
210	C₇×#121	C₂³	1	2	yes	—
211	C₇×#120	—	2	2	no	—
212	C₇×#120	—	2	2	no	—
213	C₇×#120	—	2	2	no	—
214	C₇×#120	—	2	2	no	—
215	C₇×#120	—	2	2	no	—
216	C₇×#120	—	2	2	no	—
217	C₄×C₇×Q₈	—	2	1	no	—
218	C₄×C₇×Q₈	C₂³	1	2	yes	—
219	C₄×C₇×Q₈	C₂³	1	2	yes	—
220	C₄×C₇×Q₈	C₂³	1	2	yes	—
221	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
222	C₄×C₇×D₄	—	2	2	no	—
223	C₄×C₇×D₄	—	2	2	no	—
224	C₄×C₇×D₄	—	2	2	no	—
225	C₄×C₇×D₄	—	2	2	no	—
226	C₄×C₇×D₄	—	2	2	no	—
227	C₄×C₇×D₄	—	2	1	no	—
228	C₄×C₇×D₄	—	2	1	no	—
229	C₄×C₇×D₄	—	2	1	no	—
230	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
231	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₇×D₄	C₂³	1	2	yes	—
233	C₄×C₇×D₄	C₂³	1	2	yes	—
234	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₇×D₄	C₂³	1	2	yes	—
237	C₄×C₇×D₄	C₂³	1	2	yes	—
238	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
239	C₇×#117	—	2	1	no	—
240	C₇×#117	—	2	2	no	—
241	C₇×#117	—	2	1	no	—
242	C₇×#117	C₂³	1	2	yes	—
243	C₂×C₇×C₄⋊C₄	—	2	2	no	—
244	C₂×C₇×C₄⋊C₄	—	2	1	no	—
245	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
247	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
250	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
251	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
252	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
253	C₇×#106	C₂³	1	2	yes	—
254	C₇×#106	C₂³	1	2	yes	—
255	C₇×#106	C₂³	1	2	yes	—
256	C₇×#106	C₂³	1	2	yes	—
257	C₇×C₄⋊C₈	C₂³	1	2	yes	—
258	C₇×C₄⋊C₈	C₂³	1	2	yes	—
259	C₇×C₄⋊C₈	C₂³	1	2	yes	—
260	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₇×C₄⋊C₈	C₂³	1	2	yes	—
262	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₇×#103	C₂³	1	2	yes	—
264	C₇×#103	C₂³	1	2	yes	—
265	C₇×#103	C₂³	1	2	yes	—
266	C₇×#103	C₂³	1	2	yes	—
267	C₇×#103	C₂³	1	2	yes	—
268	C₇×#103	C₂³	1	2	yes	—
269	C₇×#102	C₂³	1	2	yes	—
270	C₇×#102	C₂³	1	2	yes	—
271	C₇×#102	C₂³	1	2	yes	—
272	C₇×#102	C₂³	1	2	yes	—
273	C₇×#102	C₂³	1	2	yes	—
274	C₇×#102	C₂³	1	2	yes	—
275	C₇×#102	C₂³	1	2	yes	—
276	C₇×#102	C₂³	1	2	yes	—
277	C₇×#102	C₂³	1	2	yes	—
278	C₇×#102	C₂³	1	2	yes	—
279	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
282	C₇×#97	C₂³	1	2	yes	—
283	C₇×#97	C₂³	1	2	yes	—
284	C₄×C₇×C₈	C₂³	1	2	yes	—
285	#3558	C₂×C₇	1	1	yes	characteristic, complemented
286	#3520	C₂×C₇	1	1	yes	characteristic, complemented
287	#3401	C₂×C₇	1	2	yes	complemented
288	#3373	C₂×C₇	1	2	yes	complemented
289	#3316	C₂×C₇	1	2	yes	complemented
290	#3306	C₂×C₇	1	2	yes	complemented
291	#3295	C₂×C₇	1	2	yes	complemented
292	#3282	C₂×C₇	1	2	yes	complemented
293	#3267	C₂×C₇	1	2	yes	complemented
294	#3264	C₂×C₇	1	2	yes	complemented
295	#3263	C₂×C₇	1	2	yes	complemented
296	#3246	C₂×C₇	1	1	yes	characteristic, complemented
297	#3224	C₂×C₇	1	2	yes	complemented
298	#3215	C₂×C₇	1	1	yes	characteristic, complemented
299	#3125	C₂×C₇	1	2	yes	complemented
300	#3109	C₂×C₇	1	1	yes	characteristic, complemented
301	#3045	C₂×C₇	1	2	yes	complemented
302	C₂×#463	C₂×C₇	1	1	yes	characteristic, complemented
303	#2992	C₂×C₇	1	1	yes	characteristic, complemented
304	C₂⁴×C₇	—	2	1	no	—
305	C₂⁴×C₇	—	2	1	no	—
306	C₂⁴×C₇	—	2	2	no	—
307	C₇×#41	—	2	4	no	—
308	C₇×#41	—	4	2	no	—
309	C₇×#41	—	4	2	no	—
310	C₇×#41	—	4	2	no	—
311	C₇×#41	—	8	2	no	—
312	C₇×#41	—	8	2	no	—
313	C₂×C₇×Q₈	—	2	1	no	—
314	C₂×C₇×Q₈	—	2	2	no	—
315	C₂×C₇×Q₈	—	2	1	no	—
316	C₂×C₇×Q₈	—	2	1	no	—
317	C₂×C₇×Q₈	—	4	1	no	—
318	C₂×C₇×Q₈	—	4	1	no	—
319	C₂×C₇×Q₈	—	8	2	no	—
320	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
321	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
322	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
323	C₂×C₇×D₄	—	2	2	no	—
324	C₂×C₇×D₄	—	2	2	no	—
325	C₂×C₇×D₄	—	2	2	no	—
326	C₂×C₇×D₄	—	2	2	no	—
327	C₂×C₇×D₄	—	2	2	no	—
328	C₂×C₇×D₄	—	2	2	no	—
329	C₂×C₇×D₄	—	2	1	no	—
330	C₂×C₇×D₄	—	2	2	no	—
331	C₂×C₇×D₄	—	2	1	no	—
332	C₂×C₇×D₄	—	2	1	no	—
333	C₂×C₇×D₄	—	2	1	no	—
334	C₂×C₇×D₄	—	2	2	no	—
335	C₂×C₇×D₄	—	2	2	no	—
336	C₂×C₇×D₄	—	4	1	no	—
337	C₂×C₇×D₄	—	4	1	no	—
338	C₂×C₇×D₄	—	4	2	no	—
339	C₂×C₇×D₄	—	4	1	no	—
340	C₂×C₇×D₄	—	4	2	no	—
341	C₂×C₇×D₄	—	8	4	no	—
342	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
343	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
344	C₂×C₇×D₄	C₂⁴	1	2	yes	—
345	C₂×C₇×D₄	C₂⁴	1	2	yes	—
346	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
347	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₇	—	2	1	no	—
349	C₂²×C₄×C₇	—	2	1	no	—
350	C₂²×C₄×C₇	—	2	2	no	—
351	C₂²×C₄×C₇	—	2	2	no	—
352	C₂²×C₄×C₇	—	2	1	no	—
353	C₂²×C₄×C₇	—	2	1	no	—
354	C₂²×C₄×C₇	—	2	2	no	—
355	C₂²×C₄×C₇	—	2	2	no	—
356	C₂²×C₄×C₇	—	2	2	no	—
357	C₂²×C₄×C₇	—	2	1	no	—
358	C₂²×C₄×C₇	—	2	2	no	—
359	C₂²×C₄×C₇	—	2	1	no	—
360	C₂²×C₄×C₇	—	8	2	no	—
361	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
365	C₇×Q₁₆	—	4	2	no	—
366	C₇×Q₁₆	—	4	2	no	—
367	C₇×SD₁₆	—	2	4	no	—
368	C₇×SD₁₆	—	4	2	no	—
369	C₇×SD₁₆	—	4	2	no	—
370	C₇×SD₁₆	—	4	2	no	—
371	C₇×SD₁₆	—	4	2	no	—
372	C₇×SD₁₆	—	4	2	no	—
373	C₇×D₈	—	2	4	no	—
374	C₇×D₈	—	2	4	no	—
375	C₇×D₈	—	4	2	no	—
376	C₇×D₈	—	4	2	no	—
377	C₇×M₁₆	—	4	2	no	—
378	C₂×C₇×C₈	—	4	1	no	—
379	C₂×C₇×C₈	—	4	1	no	—
380	C₂×C₇×C₈	—	4	2	no	—
381	C₂×C₇×C₈	C₂⁴	1	2	yes	—
382	C₂×C₇×C₈	C₂⁴	1	2	yes	—
383	C₂×C₇×C₈	C₂⁴	1	2	yes	—
384	C₂×C₇×C₈	C₂⁴	1	2	yes	—
385	C₇×C₄⋊C₄	—	2	2	no	—
386	C₇×C₄⋊C₄	—	2	1	no	—
387	C₇×C₄⋊C₄	—	2	2	no	—
388	C₇×C₄⋊C₄	—	2	2	no	—
389	C₇×C₄⋊C₄	—	2	2	no	—
390	C₇×C₄⋊C₄	—	2	1	no	—
391	C₇×C₄⋊C₄	—	2	1	no	—
392	C₇×C₄⋊C₄	—	2	1	no	—
393	C₇×C₄⋊C₄	—	2	2	no	—
394	C₇×C₄⋊C₄	—	2	1	no	—
395	C₇×C₄⋊C₄	—	2	2	no	—
396	C₇×C₄⋊C₄	—	2	2	no	—
397	C₇×C₄⋊C₄	—	2	2	no	—
398	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
399	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
402	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
405	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
407	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₇×C₂²⋊C₄	—	2	2	no	—
409	C₇×C₂²⋊C₄	—	2	2	no	—
410	C₇×C₂²⋊C₄	—	2	2	no	—
411	C₇×C₂²⋊C₄	—	2	2	no	—
412	C₇×C₂²⋊C₄	—	2	1	no	—
413	C₇×C₂²⋊C₄	—	2	1	no	—
414	C₇×C₂²⋊C₄	—	2	1	no	—
415	C₇×C₂²⋊C₄	—	2	1	no	—
416	C₇×C₂²⋊C₄	—	2	2	no	—
417	C₇×C₂²⋊C₄	—	2	2	no	—
418	C₇×C₂²⋊C₄	—	2	2	no	—
419	C₇×C₂²⋊C₄	—	2	2	no	—
420	C₇×C₂²⋊C₄	—	2	2	no	—
421	C₇×C₂²⋊C₄	—	2	2	no	—
422	C₇×C₂²⋊C₄	—	2	2	no	—
423	C₇×C₂²⋊C₄	—	2	2	no	—
424	C₇×C₂²⋊C₄	—	2	2	no	—
425	C₇×C₂²⋊C₄	—	2	2	no	—
426	C₇×C₂²⋊C₄	—	2	2	no	—
427	C₇×C₂²⋊C₄	—	2	2	no	—
428	C₇×C₂²⋊C₄	—	2	2	no	—
429	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
430	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₄²×C₇	—	2	2	no	—
435	C₄²×C₇	—	2	2	no	—
436	C₄²×C₇	—	2	2	no	—
437	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
438	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
439	C₄²×C₇	C₂⁴	1	2	yes	—
440	C₄²×C₇	C₂⁴	1	1	yes	characteristic
441	C₄²×C₇	C₂⁴	1	1	yes	characteristic
442	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	2	yes	complemented
443	C₂×#135	C₂²×C₇	1	2	yes	complemented
444	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
445	C₂²×D₈	C₂²×C₇	1	1	yes	characteristic
446	#562	—	2	1	no	—
447	H(3,𝔽₄)	—	2	1	no	—
448	#559	C₂²×C₇	1	2	yes	complemented
449	#556	C₂²×C₇	1	1	yes	characteristic, complemented
450	#554	C₂²×C₇	1	2	yes	complemented
451	#552	—	2	1	no	—
452	#551	—	2	2	no	—
453	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
454	#548	—	2	1	no	—
455	#548	C₂²×C₇	1	2	yes	—
456	#547	C₂²×C₇	1	1	yes	characteristic, complemented
457	#547	C₂²×C₇	1	1	yes	characteristic, complemented
458	#546	—	2	2	no	—
459	#546	C₂²×C₇	1	2	yes	complemented
460	#546	C₂²×C₇	1	2	yes	complemented
461	D₄²	C₂²×C₇	1	2	yes	—
462	#542	C₂²×C₇	1	2	yes	complemented
463	#542	C₂²×C₇	1	2	yes	complemented
464	#539	—	2	2	no	—
465	#538	—	2	2	no	—
466	#538	—	2	1	no	—
467	#535	C₂²×C₇	1	2	yes	complemented
468	#534	—	2	1	no	—
469	#533	C₂²×C₇	1	1	yes	characteristic, complemented
470	#532	C₂²×C₇	1	1	yes	characteristic
471	#529	C₂²×C₇	1	1	yes	characteristic
472	C₂×#124	C₂²×C₇	1	1	yes	characteristic
473	#525	—	2	1	no	—
474	C₂×C₂²⋊Q₈	—	2	1	no	—
475	#520	C₂²×C₇	1	2	yes	complemented
476	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
477	#497	C₂²×C₇	1	2	yes	complemented
478	#496	C₂²×C₇	1	2	yes	—
479	#495	C₂²×C₇	1	2	yes	complemented
480	#489	C₂²×C₇	1	2	yes	complemented
481	#489	C₂²×C₇	1	2	yes	complemented
482	#486	C₂²×C₇	1	2	yes	complemented
483	#483	C₂²×C₇	1	2	yes	complemented
484	#481	C₂²×C₇	1	2	yes	complemented
485	#481	C₂²×C₇	1	2	yes	complemented
486	#476	C₂²×C₇	1	1	yes	characteristic, complemented
487	#476	C₂²×C₇	1	1	yes	characteristic, complemented
488	#476	C₂²×C₇	1	2	yes	complemented
489	#476	C₂²×C₇	1	2	yes	complemented
490	#475	C₂²×C₇	1	2	yes	complemented
491	#475	C₂²×C₇	1	2	yes	complemented
492	#470	C₂²×C₇	1	2	yes	complemented
493	#469	C₂²×C₇	1	2	yes	—
494	#465	C₂²×C₇	1	2	yes	complemented
495	#465	C₂²×C₇	1	2	yes	complemented
496	#465	C₂²×C₇	1	2	yes	complemented
497	#465	C₂²×C₇	1	2	yes	complemented
498	#464	C₂²×C₇	1	2	yes	complemented
499	#464	C₂²×C₇	1	2	yes	complemented
500	#464	C₂²×C₇	1	2	yes	complemented
501	#464	C₂²×C₇	1	2	yes	complemented
502	#463	C₂²×C₇	1	2	yes	complemented
503	#463	C₂²×C₇	1	2	yes	complemented
504	#463	C₂²×C₇	1	2	yes	complemented
505	#463	C₂²×C₇	1	2	yes	complemented
506	#463	C₂²×C₇	1	2	yes	complemented
507	#463	C₂²×C₇	1	2	yes	complemented
508	#461	C₂²×C₇	1	2	yes	complemented
509	#460	C₂²×C₇	1	2	yes	complemented
510	#460	C₂²×C₇	1	2	yes	complemented
511	#459	C₂²×C₇	1	2	yes	—
512	#459	C₂²×C₇	1	1	yes	characteristic, complemented
513	#459	C₂²×C₇	1	1	yes	characteristic, complemented
514	#452	C₂²×C₇	1	2	yes	complemented
515	#452	C₂²×C₇	1	2	yes	complemented
516	#451	C₂²×C₇	1	2	yes	complemented
517	#450	C₂²×C₇	1	2	yes	—
518	#450	C₂²×C₇	1	2	yes	complemented
519	#449	C₂²×C₇	1	2	yes	—
520	#449	C₂²×C₇	1	2	yes	complemented
521	#447	C₂²×C₇	1	2	yes	complemented
522	#447	C₂²×C₇	1	2	yes	complemented
523	#446	C₂²×C₇	1	2	yes	complemented
524	#442	C₂²×C₇	1	2	yes	complemented
525	#442	C₂²×C₇	1	2	yes	complemented
526	#442	C₂²×C₇	1	2	yes	complemented
527	#441	C₂²×C₇	1	2	yes	complemented
528	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
529	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
530	#435	C₂²×C₇	1	2	yes	complemented
531	#435	C₂²×C₇	1	2	yes	complemented
532	C₈×D₄	C₂²×C₇	1	2	yes	complemented
533	#433	C₂²×C₇	1	2	yes	complemented
534	#432	C₂²×C₇	1	1	yes	characteristic, complemented
535	#424	C₂²×C₇	1	2	yes	complemented
536	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
537	#417	C₂²×C₇	1	2	yes	complemented
538	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
539	C₂×#102	C₂²×C₇	1	1	yes	characteristic
540	C₂×#102	C₂²×C₇	1	2	yes	complemented
541	C₂³×C₇	—	2	1	no	—
542	C₂³×C₇	—	2	1	no	—
543	C₂³×C₇	—	2	2	no	—
544	C₂³×C₇	—	2	2	no	—
545	C₂³×C₇	—	4	2	no	—
546	C₂³×C₇	—	4	2	no	—
547	C₂³×C₇	—	4	2	no	—
548	C₂³×C₇	—	8	1	no	—
549	C₂³×C₇	—	8	1	no	—
550	C₂³×C₇	—	8	2	no	—
551	C₂³×C₇	—	8	2	no	—
552	C₂³×C₇	—	8	1	no	—
553	C₂³×C₇	—	8	2	no	—
554	C₂³×C₇	C₂²×D₄	1	2	yes	—
555	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
556	C₇×Q₈	—	2	2	no	—
557	C₇×Q₈	—	2	2	no	—
558	C₇×Q₈	—	2	2	no	—
559	C₇×Q₈	—	2	2	no	—
560	C₇×Q₈	—	4	1	no	—
561	C₇×Q₈	—	4	2	no	—
562	C₇×Q₈	—	8	1	no	—
563	C₇×Q₈	—	8	2	no	—
564	C₇×Q₈	—	8	1	no	—
565	C₇×D₄	—	2	4	no	—
566	C₇×D₄	—	2	2	no	—
567	C₇×D₄	—	2	2	no	—
568	C₇×D₄	—	2	1	no	—
569	C₇×D₄	—	2	1	no	—
570	C₇×D₄	—	2	1	no	—
571	C₇×D₄	—	2	2	no	—
572	C₇×D₄	—	2	2	no	—
573	C₇×D₄	—	4	1	no	—
574	C₇×D₄	—	4	2	no	—
575	C₇×D₄	—	4	4	no	—
576	C₇×D₄	—	4	4	no	—
577	C₇×D₄	—	8	1	no	—
578	C₇×D₄	—	8	2	no	—
579	C₇×D₄	—	8	2	no	—
580	C₇×D₄	—	8	1	no	—
581	C₇×D₄	—	8	2	no	—
582	C₇×D₄	—	8	1	no	—
583	C₇×D₄	—	8	2	no	—
584	C₇×D₄	—	8	2	no	—
585	C₇×D₄	—	8	2	no	—
586	C₇×D₄	H(5,𝔽₂)	1	2	yes	—
587	C₂×C₄×C₇	—	2	2	no	—
588	C₂×C₄×C₇	—	2	1	no	—
589	C₂×C₄×C₇	—	2	2	no	—
590	C₂×C₄×C₇	—	2	1	no	—
591	C₂×C₄×C₇	—	2	2	no	—
592	C₂×C₄×C₇	—	2	2	no	—
593	C₂×C₄×C₇	—	2	1	no	—
594	C₂×C₄×C₇	—	2	2	no	—
595	C₂×C₄×C₇	—	2	2	no	—
596	C₂×C₄×C₇	—	2	2	no	—
597	C₂×C₄×C₇	—	2	1	no	—
598	C₂×C₄×C₇	—	4	1	no	—
599	C₂×C₄×C₇	—	4	4	no	—
600	C₂×C₄×C₇	—	4	2	no	—
601	C₂×C₄×C₇	—	4	2	no	—
602	C₂×C₄×C₇	—	8	1	no	—
603	C₂×C₄×C₇	—	8	1	no	—
604	C₂×C₄×C₇	—	8	2	no	—
605	C₂×C₄×C₇	—	8	2	no	—
606	C₂×C₄×C₇	—	8	2	no	—
607	C₂×C₄×C₇	—	8	2	no	—
608	C₂×C₄×C₇	—	8	1	no	—
609	C₂×C₄×C₇	—	8	1	no	—
610	C₂×C₄×C₇	—	8	2	no	—
611	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
612	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
613	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
614	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
615	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
616	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
617	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
618	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
619	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
620	C₇×C₈	—	2	2	no	—
621	C₇×C₈	—	2	2	no	—
622	C₇×C₈	—	2	2	no	—
623	C₇×C₈	—	2	2	no	—
624	C₂×#41	—	2	1	no	—
625	C₂×#41	—	2	1	no	—
626	C₂×#41	C₂³×C₇	1	2	yes	—
627	C₂×#41	C₂³×C₇	1	2	yes	—
628	C₂²×Q₈	—	2	1	no	—
629	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
630	C₂²×D₄	—	2	2	no	—
631	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
632	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
633	C₂²×D₄	C₂³×C₇	1	2	yes	—
634	C₂³×C₄	—	2	1	no	—
635	AGL(1,ℤ/8)	—	4	4	no	—
636	#135	—	4	4	no	—
637	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
638	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
639	C₂×SD₁₆	—	4	2	no	—
640	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
641	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
642	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
643	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
644	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
645	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
646	C₂×D₈	—	4	2	no	—
647	C₂×D₈	C₂³×C₇	1	2	yes	—
648	C₂×D₈	C₂³×C₇	1	2	yes	—
649	C₂×D₈	C₂³×C₇	1	2	yes	—
650	C₂×D₈	C₂³×C₇	1	2	yes	—
651	C₂×M₁₆	C₂³×C₇	1	2	yes	—
652	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
653	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
654	C₂²×C₈	C₂³×C₇	1	2	yes	—
655	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
656	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
657	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
658	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
659	#127	C₂³×C₇	1	1	yes	characteristic
660	#127	C₂³×C₇	1	2	yes	—
661	#126	—	2	2	no	—
662	#126	—	2	2	no	—
663	#126	—	2	2	no	—
664	#126	C₇×D₄	1	2	yes	—
665	#125	—	2	2	no	—
666	#125	—	2	1	no	—
667	#125	C₇×D₄	1	1	yes	characteristic
668	#124	—	2	2	no	—
669	#124	—	2	2	no	—
670	#124	—	2	2	no	—
671	#124	—	2	2	no	—
672	#124	—	2	1	no	—
673	#124	—	2	1	no	—
674	#124	—	2	1	no	—
675	#124	C₇×D₄	1	1	yes	characteristic
676	#124	C₂³×C₇	1	2	yes	—
677	#124	C₂³×C₇	1	2	yes	—
678	#124	C₂³×C₇	1	2	yes	—
679	#124	C₂³×C₇	1	2	yes	—
680	#123	—	2	2	no	—
681	#123	—	2	2	no	—
682	#123	—	2	2	no	—
683	#123	—	2	2	no	—
684	#123	—	2	2	no	—
685	#123	—	2	2	no	—
686	#123	—	2	2	no	—
687	#123	—	2	2	no	—
688	#123	C₇×D₄	1	2	yes	—
689	C₂²⋊Q₈	—	2	1	no	—
690	C₂²⋊Q₈	—	2	1	no	—
691	C₂²⋊Q₈	—	2	2	no	—
692	C₂²⋊Q₈	—	2	1	no	—
693	C₂²⋊Q₈	—	2	1	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	C₇×D₄	1	1	yes	characteristic
700	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
701	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
702	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
703	#121	—	2	1	no	—
704	#121	—	2	2	no	—
705	#121	—	2	1	no	—
706	#121	—	2	2	no	—
707	#121	—	2	2	no	—
708	#121	—	2	2	no	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	C₇×D₄	1	1	yes	characteristic
712	#121	C₂³×C₇	1	2	yes	—
713	#121	C₂³×C₇	1	2	yes	—
714	#121	C₂³×C₇	1	2	yes	—
715	#120	—	2	2	no	—
716	#120	—	2	2	no	—
717	#120	—	2	2	no	—
718	#120	—	2	2	no	—
719	#120	—	2	2	no	—
720	#120	—	2	2	no	—
721	C₄×Q₈	—	2	1	no	—
722	C₄×Q₈	C₂³×C₇	1	2	yes	—
723	C₄×Q₈	C₂³×C₇	1	2	yes	—
724	C₄×Q₈	C₂³×C₇	1	2	yes	—
725	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
726	C₄×D₄	—	2	2	no	—
727	C₄×D₄	—	2	2	no	—
728	C₄×D₄	—	2	2	no	—
729	C₄×D₄	—	2	2	no	—
730	C₄×D₄	—	2	2	no	—
731	C₄×D₄	—	2	1	no	—
732	C₄×D₄	—	2	1	no	—
733	C₄×D₄	—	2	1	no	—
734	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
735	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
736	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
737	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
738	C₄×D₄	C₂³×C₇	1	2	yes	—
739	C₄×D₄	C₂³×C₇	1	2	yes	—
740	C₄×D₄	C₂³×C₇	1	2	yes	—
741	C₄×D₄	C₂³×C₇	1	2	yes	—
742	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
743	#117	—	2	1	no	—
744	#117	—	2	2	no	—
745	#117	—	2	1	no	—
746	#117	C₂³×C₇	1	2	yes	—
747	C₂×C₄⋊C₄	—	2	2	no	—
748	C₂×C₄⋊C₄	—	2	1	no	—
749	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
751	C₂×C₂²⋊C₄	—	2	1	no	—
752	C₂×C₂²⋊C₄	—	2	1	no	—
753	C₂×C₂²⋊C₄	—	2	1	no	—
754	C₂×C₂²⋊C₄	—	2	2	no	—
755	C₂×C₂²⋊C₄	—	2	2	no	—
756	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
757	#106	C₂³×C₇	1	2	yes	—
758	#106	C₂³×C₇	1	2	yes	—
759	#106	C₂³×C₇	1	2	yes	—
760	#106	C₂³×C₇	1	2	yes	—
761	C₄⋊C₈	C₂³×C₇	1	2	yes	—
762	C₄⋊C₈	C₂³×C₇	1	2	yes	—
763	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
764	C₄⋊C₈	C₂³×C₇	1	2	yes	—
765	C₄⋊C₈	C₂³×C₇	1	2	yes	—
766	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
767	#103	C₂³×C₇	1	2	yes	—
768	#103	C₂³×C₇	1	2	yes	—
769	#103	C₂³×C₇	1	2	yes	—
770	#103	C₂³×C₇	1	2	yes	—
771	#103	C₂³×C₇	1	2	yes	—
772	#103	C₂³×C₇	1	2	yes	—
773	#102	C₂³×C₇	1	2	yes	—
774	#102	C₂³×C₇	1	2	yes	—
775	#102	C₂³×C₇	1	2	yes	—
776	#102	C₂³×C₇	1	2	yes	—
777	#102	C₂³×C₇	1	2	yes	—
778	#102	C₂³×C₇	1	2	yes	—
779	#102	C₂³×C₇	1	2	yes	—
780	#102	C₂³×C₇	1	2	yes	—
781	#102	C₂³×C₇	1	2	yes	—
782	#102	C₂³×C₇	1	2	yes	—
783	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
784	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
785	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
786	#97	C₂³×C₇	1	2	yes	—
787	#97	C₂³×C₇	1	2	yes	—
788	C₄×C₈	C₂³×C₇	1	2	yes	—
789	C₂²×C₇	—	2	1	no	—
790	C₂²×C₇	—	2	1	no	—
791	C₂²×C₇	—	2	2	no	—
792	C₂²×C₇	—	2	2	no	—
793	C₂²×C₇	—	2	2	no	—
794	C₂²×C₇	—	2	2	no	—
795	C₂²×C₇	—	4	1	no	—
796	C₂²×C₇	—	4	1	no	—
797	C₂²×C₇	—	4	1	no	—
798	C₂²×C₇	—	4	2	no	—
799	C₂²×C₇	—	4	2	no	—
800	C₂²×C₇	—	4	2	no	—
801	C₂²×C₇	—	4	1	no	—
802	C₂²×C₇	—	4	2	no	—
803	C₂²×C₇	—	4	2	no	—
804	C₂²×C₇	—	4	2	no	—
805	C₂²×C₇	—	4	1	no	—
806	C₂²×C₇	—	8	4	no	—
807	C₂²×C₇	—	16	2	no	—
808	C₂²×C₇	—	16	4	no	—
809	C₂²×C₇	#577	1	2	yes	—
810	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
811	C₄×C₇	—	2	1	no	—
812	C₄×C₇	—	2	1	no	—
813	C₄×C₇	—	2	2	no	—
814	C₄×C₇	—	2	2	no	—
815	C₄×C₇	—	2	1	no	—
816	C₄×C₇	—	2	1	no	—
817	C₄×C₇	—	2	1	no	—
818	C₄×C₇	—	2	2	no	—
819	C₄×C₇	—	4	1	no	—
820	C₄×C₇	—	4	1	no	—
821	C₄×C₇	—	4	2	no	—
822	C₄×C₇	—	4	2	no	—
823	C₄×C₇	—	4	2	no	—
824	C₄×C₇	—	4	2	no	—
825	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
826	C₄×C₇	#585	1	1	yes	characteristic
827	C₂⁴	—	2	1	no	—
828	C₂⁴	—	2	1	no	—
829	C₂⁴	—	2	2	no	—
830	#41	—	2	4	no	—
831	#41	—	4	2	no	—
832	#41	—	4	2	no	—
833	#41	—	4	2	no	—
834	#41	—	8	2	no	—
835	#41	—	8	2	no	—
836	C₂×Q₈	—	2	1	no	—
837	C₂×Q₈	—	2	2	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	4	1	no	—
841	C₂×Q₈	—	4	1	no	—
842	C₂×Q₈	—	8	2	no	—
843	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
844	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
845	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	1	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	1	no	—
855	C₂×D₄	—	2	1	no	—
856	C₂×D₄	—	2	1	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	4	1	no	—
860	C₂×D₄	—	4	1	no	—
861	C₂×D₄	—	4	2	no	—
862	C₂×D₄	—	4	1	no	—
863	C₂×D₄	—	4	2	no	—
864	C₂×D₄	—	8	4	no	—
865	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
866	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
867	C₂×D₄	C₂⁴×C₇	1	2	yes	—
868	C₂×D₄	C₂⁴×C₇	1	2	yes	—
869	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
870	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	2	no	—
874	C₂²×C₄	—	2	2	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	8	2	no	—
884	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
885	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
888	Q₁₆	—	4	2	no	—
889	Q₁₆	—	4	2	no	—
890	SD₁₆	—	2	4	no	—
891	SD₁₆	—	4	2	no	—
892	SD₁₆	—	4	2	no	—
893	SD₁₆	—	4	2	no	—
894	SD₁₆	—	4	2	no	—
895	SD₁₆	—	4	2	no	—
896	D₈	—	2	4	no	—
897	D₈	—	2	4	no	—
898	D₈	—	4	2	no	—
899	D₈	—	4	2	no	—
900	M₁₆	—	4	2	no	—
901	C₂×C₈	—	4	1	no	—
902	C₂×C₈	—	4	1	no	—
903	C₂×C₈	—	4	2	no	—
904	C₂×C₈	C₂⁴×C₇	1	2	yes	—
905	C₂×C₈	C₂⁴×C₇	1	2	yes	—
906	C₂×C₈	C₂⁴×C₇	1	2	yes	—
907	C₂×C₈	C₂⁴×C₇	1	2	yes	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
922	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
923	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
924	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
925	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
926	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
927	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
928	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
929	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
930	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
931	C₂²⋊C₄	—	2	2	no	—
932	C₂²⋊C₄	—	2	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	1	no	—
936	C₂²⋊C₄	—	2	1	no	—
937	C₂²⋊C₄	—	2	1	no	—
938	C₂²⋊C₄	—	2	1	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	2	no	—
945	C₂²⋊C₄	—	2	2	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
953	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
954	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
955	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
956	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
957	C₄²	—	2	2	no	—
958	C₄²	—	2	2	no	—
959	C₄²	—	2	2	no	—
960	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
961	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
962	C₄²	C₂⁴×C₇	1	2	yes	—
963	C₄²	C₂⁴×C₇	1	1	yes	characteristic
964	C₄²	C₂⁴×C₇	1	1	yes	characteristic
965	C₂×C₇	—	2	2	no	—
966	C₂×C₇	—	4	2	no	—
967	C₂×C₇	—	4	2	no	—
968	C₂×C₇	—	8	1	no	—
969	C₂×C₇	—	8	2	no	—
970	C₂×C₇	—	8	2	no	—
971	C₂×C₇	#3488	1	1	yes	characteristic
972	C₂×C₇	C₂×#577	1	1	yes	characteristic
973	C₂×C₇	#3585	1	1	yes	characteristic
974	C₂³	—	2	1	no	—
975	C₂³	—	2	1	no	—
976	C₂³	—	2	2	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	4	2	no	—
979	C₂³	—	4	2	no	—
980	C₂³	—	4	2	no	—
981	C₂³	—	8	1	no	—
982	C₂³	—	8	1	no	—
983	C₂³	—	8	2	no	—
984	C₂³	—	8	2	no	—
985	C₂³	—	8	1	no	—
986	C₂³	—	8	2	no	—
987	C₂³	C₂²×C₇×D₄	1	2	yes	—
988	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
989	Q₈	—	2	2	no	—
990	Q₈	—	2	2	no	—
991	Q₈	—	2	2	no	—
992	Q₈	—	2	2	no	—
993	Q₈	—	4	1	no	—
994	Q₈	—	4	2	no	—
995	Q₈	—	8	1	no	—
996	Q₈	—	8	2	no	—
997	Q₈	—	8	1	no	—
998	D₄	—	2	4	no	—
999	D₄	—	2	2	no	—
1000	D₄	—	2	2	no	—
1001	D₄	—	2	1	no	—
1002	D₄	—	2	1	no	—
1003	D₄	—	2	1	no	—
1004	D₄	—	2	2	no	—
1005	D₄	—	2	2	no	—
1006	D₄	—	4	1	no	—
1007	D₄	—	4	2	no	—
1008	D₄	—	4	4	no	—
1009	D₄	—	4	4	no	—
1010	D₄	—	8	1	no	—
1011	D₄	—	8	2	no	—
1012	D₄	—	8	2	no	—
1013	D₄	—	8	1	no	—
1014	D₄	—	8	2	no	—
1015	D₄	—	8	1	no	—
1016	D₄	—	8	2	no	—
1017	D₄	—	8	2	no	—
1018	D₄	—	8	2	no	—
1019	D₄	C₇×H(5,𝔽₂)	1	2	yes	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	4	1	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	2	no	—
1034	C₂×C₄	—	4	2	no	—
1035	C₂×C₄	—	8	1	no	—
1036	C₂×C₄	—	8	1	no	—
1037	C₂×C₄	—	8	2	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	2	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	8	1	no	—
1042	C₂×C₄	—	8	1	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1045	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1046	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1047	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1048	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1049	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1050	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1051	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1052	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1053	C₈	—	2	2	no	—
1054	C₈	—	2	2	no	—
1055	C₈	—	2	2	no	—
1056	C₈	—	2	2	no	—
1057	C₇	#62018	1	1	yes	characteristic, direct product factor, Sylow
1058	C₂²	—	2	1	no	—
1059	C₂²	—	2	1	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	2	2	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	8	4	no	—
1076	C₂²	—	16	2	no	—
1077	C₂²	—	16	4	no	—
1078	C₂²	C₇×#577	1	2	yes	—
1079	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1080	C₄	—	2	1	no	—
1081	C₄	—	2	1	no	—
1082	C₄	—	2	2	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	1	no	—
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	4	2	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	2	no	—
1093	C₄	—	4	2	no	—
1094	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1095	C₄	C₇×#585	1	1	yes	characteristic
1096	C₂	—	2	2	no	—
1097	C₂	—	4	2	no	—
1098	C₂	—	4	2	no	—
1099	C₂	—	8	1	no	—
1100	C₂	—	8	2	no	—
1101	C₂	—	8	2	no	—
1102	C₂	C₇×#3488	1	1	yes	characteristic
1103	C₂	C₂×C₇×#577	1	1	yes	characteristic
1104	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3558	C₂	semidirect
2. C₇×#3520	C₂	semidirect
3. C₇×#3401	C₂	semidirect
4. C₇×#3373	C₂	semidirect
5. C₇×#3316	C₂	semidirect
6. C₇×#3306	C₂	semidirect
7. C₇×#3295	C₂	semidirect
8. C₇×#3282	C₂	semidirect
9. C₇×#3267	C₂	semidirect
10. C₇×#3264	C₂	semidirect
11. C₇×#3263	C₂	semidirect
12. C₇×#3246	C₂	semidirect
13. C₇×#3224	C₂	semidirect
14. C₇×#3215	C₂	semidirect
15. C₇×#3125	C₂	semidirect
16. C₇×#3109	C₂	semidirect
17. C₇×#3045	C₂	semidirect
18. C₂×C₇×#463	C₂	semidirect
19. C₇×#2992	C₂	semidirect
20. C₂×C₇×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂×C₇×#135	C₂²	semidirect
22. C₂²×C₇×SD₁₆	C₂²	semidirect
26. C₇×#559	C₂²	semidirect
27. C₇×#556	C₂²	semidirect
28. C₇×#554	C₂²	semidirect
31. C₇×D₄×Q₈	C₂²	semidirect
34. C₇×#547	C₂²	semidirect
35. C₇×#547	C₂²	semidirect
37. C₇×#546	C₂²	semidirect
38. C₇×#546	C₂²	semidirect
40. C₇×#542	C₂²	semidirect
41. C₇×#542	C₂²	semidirect
45. C₇×#535	C₂²	semidirect
47. C₇×#533	C₂²	semidirect
53. C₇×#520	C₂²	semidirect
54. C₂×C₄×C₇×D₄	C₂²	semidirect
55. C₇×#497	C₂²	semidirect
57. C₇×#495	C₂²	semidirect
58. C₇×#489	C₂²	semidirect
59. C₇×#489	C₂²	semidirect
60. C₇×#486	C₂²	semidirect
61. C₇×#483	C₂²	semidirect
62. C₇×#481	C₂²	semidirect
63. C₇×#481	C₂²	semidirect
64. C₇×#476	C₂²	semidirect
65. C₇×#476	C₂²	semidirect
66. C₇×#476	C₂²	semidirect
67. C₇×#476	C₂²	semidirect
68. C₇×#475	C₂²	semidirect
69. C₇×#475	C₂²	semidirect
70. C₇×#470	C₂²	semidirect
72. C₇×#465	C₂²	semidirect
73. C₇×#465	C₂²	semidirect
74. C₇×#465	C₂²	semidirect
75. C₇×#465	C₂²	semidirect
76. C₇×#464	C₂²	semidirect
77. C₇×#464	C₂²	semidirect
78. C₇×#464	C₂²	semidirect
79. C₇×#464	C₂²	semidirect
80. C₇×#463	C₂²	semidirect
81. C₇×#463	C₂²	semidirect
82. C₇×#463	C₂²	semidirect
83. C₇×#463	C₂²	semidirect
84. C₇×#463	C₂²	semidirect
85. C₇×#463	C₂²	semidirect
86. C₇×#461	C₂²	semidirect
87. C₇×#460	C₂²	semidirect
88. C₇×#460	C₂²	semidirect
90. C₇×#459	C₂²	semidirect
91. C₇×#459	C₂²	semidirect
92. C₇×#452	C₂²	semidirect
93. C₇×#452	C₂²	semidirect
94. C₇×#451	C₂²	semidirect
96. C₇×#450	C₂²	semidirect
98. C₇×#449	C₂²	semidirect
99. C₇×#447	C₂²	semidirect
100. C₇×#447	C₂²	semidirect
101. C₇×#446	C₂²	semidirect
102. C₇×#442	C₂²	semidirect
103. C₇×#442	C₂²	semidirect
104. C₇×#442	C₂²	semidirect
105. C₇×#441	C₂²	semidirect
106. C₄×C₇×SD₁₆	C₂²	semidirect
107. C₄×C₇×SD₁₆	C₂²	semidirect
108. C₇×#435	C₂²	semidirect
109. C₇×#435	C₂²	semidirect
110. C₇×C₈×D₄	C₂²	semidirect
111. C₇×#433	C₂²	semidirect
112. C₇×#432	C₂²	semidirect
113. C₇×#424	C₂²	semidirect
114. C₂×C₇×C₄⋊C₈	C₂²	semidirect
115. C₇×#417	C₂²	semidirect
116. C₂×C₇×#103	C₂²	semidirect
118. C₂×C₇×#102	C₂²	semidirect
119. #62018	C₇	direct (N × H)
285. #3558	C₂×C₇	semidirect
286. #3520	C₂×C₇	semidirect
287. #3401	C₂×C₇	semidirect
288. #3373	C₂×C₇	semidirect
289. #3316	C₂×C₇	semidirect
290. #3306	C₂×C₇	semidirect
291. #3295	C₂×C₇	semidirect
292. #3282	C₂×C₇	semidirect
293. #3267	C₂×C₇	semidirect
294. #3264	C₂×C₇	semidirect
295. #3263	C₂×C₇	semidirect
296. #3246	C₂×C₇	semidirect
297. #3224	C₂×C₇	semidirect
298. #3215	C₂×C₇	semidirect
299. #3125	C₂×C₇	semidirect
300. #3109	C₂×C₇	semidirect
301. #3045	C₂×C₇	semidirect
302. C₂×#463	C₂×C₇	semidirect
303. #2992	C₂×C₇	semidirect
442. C₂×AGL(1,ℤ/8)	C₂²×C₇	semidirect
443. C₂×#135	C₂²×C₇	semidirect
444. C₂²×SD₁₆	C₂²×C₇	semidirect
448. #559	C₂²×C₇	semidirect
449. #556	C₂²×C₇	semidirect
450. #554	C₂²×C₇	semidirect
453. D₄×Q₈	C₂²×C₇	semidirect
456. #547	C₂²×C₇	semidirect
457. #547	C₂²×C₇	semidirect
459. #546	C₂²×C₇	semidirect
460. #546	C₂²×C₇	semidirect
462. #542	C₂²×C₇	semidirect
463. #542	C₂²×C₇	semidirect
467. #535	C₂²×C₇	semidirect
469. #533	C₂²×C₇	semidirect
475. #520	C₂²×C₇	semidirect
476. C₂×C₄×D₄	C₂²×C₇	semidirect
477. #497	C₂²×C₇	semidirect
479. #495	C₂²×C₇	semidirect
480. #489	C₂²×C₇	semidirect
481. #489	C₂²×C₇	semidirect
482. #486	C₂²×C₇	semidirect
483. #483	C₂²×C₇	semidirect
484. #481	C₂²×C₇	semidirect
485. #481	C₂²×C₇	semidirect
486. #476	C₂²×C₇	semidirect
487. #476	C₂²×C₇	semidirect
488. #476	C₂²×C₇	semidirect
489. #476	C₂²×C₇	semidirect
490. #475	C₂²×C₇	semidirect
491. #475	C₂²×C₇	semidirect
492. #470	C₂²×C₇	semidirect
494. #465	C₂²×C₇	semidirect
495. #465	C₂²×C₇	semidirect
496. #465	C₂²×C₇	semidirect
497. #465	C₂²×C₇	semidirect
498. #464	C₂²×C₇	semidirect
499. #464	C₂²×C₇	semidirect
500. #464	C₂²×C₇	semidirect
501. #464	C₂²×C₇	semidirect
502. #463	C₂²×C₇	semidirect
503. #463	C₂²×C₇	semidirect
504. #463	C₂²×C₇	semidirect
505. #463	C₂²×C₇	semidirect
506. #463	C₂²×C₇	semidirect
507. #463	C₂²×C₇	semidirect
508. #461	C₂²×C₇	semidirect
509. #460	C₂²×C₇	semidirect
510. #460	C₂²×C₇	semidirect
512. #459	C₂²×C₇	semidirect
513. #459	C₂²×C₇	semidirect
514. #452	C₂²×C₇	semidirect
515. #452	C₂²×C₇	semidirect
516. #451	C₂²×C₇	semidirect
518. #450	C₂²×C₇	semidirect
520. #449	C₂²×C₇	semidirect
521. #447	C₂²×C₇	semidirect
522. #447	C₂²×C₇	semidirect
523. #446	C₂²×C₇	semidirect
524. #442	C₂²×C₇	semidirect
525. #442	C₂²×C₇	semidirect
526. #442	C₂²×C₇	semidirect
527. #441	C₂²×C₇	semidirect
528. C₄×SD₁₆	C₂²×C₇	semidirect
529. C₄×SD₁₆	C₂²×C₇	semidirect
530. #435	C₂²×C₇	semidirect
531. #435	C₂²×C₇	semidirect
532. C₈×D₄	C₂²×C₇	semidirect
533. #433	C₂²×C₇	semidirect
534. #432	C₂²×C₇	semidirect
535. #424	C₂²×C₇	semidirect
536. C₂×C₄⋊C₈	C₂²×C₇	semidirect
537. #417	C₂²×C₇	semidirect
538. C₂×#103	C₂²×C₇	semidirect
540. C₂×#102	C₂²×C₇	semidirect
1057. C₇	#62018	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×#3558	2
C₇×#3520	2
C₇×#3401	2
C₇×#3373	2
C₇×#3316	2
C₇×#3306	2
C₇×#3295	2
C₇×#3282	2
C₇×#3267	2
C₇×#3264	2
C₇×#3263	2
C₇×#3246	2
C₇×#3224	2
C₇×#3215	2
C₇×#3125	2
C₇×#3109	2
C₇×#3045	2
C₂×C₇×#463	2
C₇×#2992	2
#62018	7

Subgroups — C7×#62018 #13239234

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62018 #13239234