Subgroups — C₇×#62830 #13240046

Order 1792.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3562	C₂	1	4	yes	maximal, complemented
2	C₇×#3560	C₂	1	4	yes	maximal, complemented
3	C₇×#3552	C₂	1	2	yes	maximal, complemented
4	C₇×#3551	C₂	1	4	yes	maximal, complemented
5	C₇×#3547	C₂	1	2	yes	maximal, complemented
6	C₇×#3546	C₂	1	2	yes	maximal, complemented
7	C₇×#3543	C₂	1	2	yes	maximal, complemented
8	C₇×#3534	C₂	1	4	yes	maximal, complemented
9	C₇×#3520	C₂	1	2	yes	maximal, complemented
10	C₇×#3519	C₂	1	4	yes	maximal, complemented
11	C₇×#3519	C₂	1	2	yes	maximal, complemented
12	C₇×#3517	C₂	1	2	yes	maximal, complemented
13	C₇×#3514	C₂	1	4	yes	maximal, complemented
14	C₇×#3514	C₂	1	2	yes	maximal, complemented
15	C₇×#3512	C₂	1	2	yes	maximal, complemented
16	C₇×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3506	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3505	C₂	1	4	yes	maximal, complemented
19	C₇×#3500	C₂	1	2	yes	maximal, complemented
20	C₇×#3497	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3494	C₂	1	4	yes	maximal, complemented
23	C₇×#3489	C₂	1	2	yes	maximal, complemented
24	C₇×#3488	C₂	1	2	yes	maximal, complemented
25	C₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₇×#532	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₇×2₋¹⁺⁴	C₂²	1	2	yes	complemented
29	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	complemented
30	C₂²×C₇×#41	C₂²	1	2	yes	complemented
31	C₇×#563	C₂²	1	8	yes	complemented
32	C₇×#562	C₂²	1	8	yes	complemented
33	C₇×#560	C₂²	1	8	yes	complemented
34	C₇×#560	C₂²	1	8	yes	complemented
35	C₇×#559	C₂²	1	4	yes	complemented
36	C₇×#559	C₂²	1	2	yes	complemented
37	C₇×#557	C₂²	1	2	yes	complemented
38	C₇×#556	C₂²	1	4	yes	complemented
39	C₇×#556	C₂²	1	2	yes	complemented
40	C₇×#556	C₂²	1	2	yes	complemented
41	C₇×#555	C₂²	1	8	yes	complemented
42	C₇×#555	C₂²	1	2	yes	complemented
43	C₇×#555	C₂²	1	4	yes	complemented
44	C₇×#554	C₂²	1	2	yes	complemented
45	C₇×#554	C₂²	1	4	yes	complemented
46	C₇×#553	C₂²	1	8	yes	complemented
47	C₇×#553	C₂²	1	8	yes	complemented
48	C₇×#553	C₂²	1	8	yes	complemented
49	C₇×#553	C₂²	1	8	yes	complemented
50	C₇×#553	C₂²	1	4	yes	complemented
51	C₇×#553	C₂²	1	4	yes	complemented
52	C₇×#553	C₂²	1	4	yes	complemented
53	C₇×#553	C₂²	1	4	yes	complemented
54	C₇×#553	C₂²	1	4	yes	complemented
55	C₇×#552	C₂²	1	4	yes	complemented
56	C₇×#552	C₂²	1	4	yes	complemented
57	C₇×#552	C₂²	1	4	yes	complemented
58	C₇×#551	C₂²	1	8	yes	complemented
59	C₇×#551	C₂²	1	8	yes	complemented
60	C₇×#551	C₂²	1	8	yes	complemented
61	C₇×#551	C₂²	1	8	yes	complemented
62	C₇×#550	C₂²	1	4	yes	complemented
63	C₇×#550	C₂²	1	2	yes	complemented
64	C₇×#550	C₂²	1	2	yes	complemented
65	C₇×#550	C₂²	1	2	yes	complemented
66	C₇×#550	C₂²	1	4	yes	complemented
67	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
68	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
69	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
70	C₇×#548	C₂²	1	4	yes	complemented
71	C₇×#548	C₂²	1	4	yes	complemented
72	C₇×#548	C₂²	1	4	yes	complemented
73	C₇×#548	C₂²	1	4	yes	complemented
74	C₇×#548	C₂²	1	4	yes	complemented
75	C₇×#548	C₂²	1	4	yes	complemented
76	C₇×#547	C₂²	1	8	yes	complemented
77	C₇×#547	C₂²	1	4	yes	complemented
78	C₇×#547	C₂²	1	2	yes	complemented
79	C₇×#547	C₂²	1	2	yes	complemented
80	C₇×#547	C₂²	1	2	yes	complemented
81	C₇×#546	C₂²	1	8	yes	complemented
82	C₇×#546	C₂²	1	8	yes	complemented
83	C₇×#546	C₂²	1	4	yes	complemented
84	C₇×#546	C₂²	1	4	yes	complemented
85	C₇×#546	C₂²	1	4	yes	complemented
86	C₇×#546	C₂²	1	8	yes	complemented
87	C₇×#546	C₂²	1	8	yes	complemented
88	C₇×#546	C₂²	1	4	yes	complemented
89	C₇×#546	C₂²	1	4	yes	complemented
90	C₇×#546	C₂²	1	4	yes	complemented
91	C₇×#546	C₂²	1	8	yes	complemented
92	C₇×#546	C₂²	1	4	yes	complemented
93	C₇×#546	C₂²	1	4	yes	complemented
94	C₇×D₄²	C₂²	1	4	yes	complemented
95	C₇×D₄²	C₂²	1	8	yes	complemented
96	C₇×D₄²	C₂²	1	2	yes	complemented
97	C₇×D₄²	C₂²	1	2	yes	complemented
98	C₇×D₄²	C₂²	1	4	yes	complemented
99	C₇×#544	C₂²	1	4	yes	complemented
100	C₇×#542	C₂²	1	8	yes	complemented
101	C₇×#542	C₂²	1	4	yes	complemented
102	C₇×#542	C₂²	1	4	yes	complemented
103	C₇×#541	C₂²	1	4	yes	complemented
104	C₇×#540	C₂²	1	4	yes	complemented
105	C₇×#540	C₂²	1	8	yes	complemented
106	C₇×#540	C₂²	1	4	yes	complemented
107	C₇×#540	C₂²	1	4	yes	complemented
108	C₇×#540	C₂²	1	8	yes	complemented
109	C₇×#539	C₂²	1	8	yes	complemented
110	C₇×#539	C₂²	1	4	yes	complemented
111	C₇×#539	C₂²	1	8	yes	complemented
112	C₇×#538	C₂²	1	8	yes	complemented
113	C₇×#538	C₂²	1	4	yes	complemented
114	C₇×#538	C₂²	1	8	yes	complemented
115	C₇×#538	C₂²	1	8	yes	complemented
116	C₇×#538	C₂²	1	8	yes	complemented
117	C₇×#538	C₂²	1	8	yes	complemented
118	C₇×#537	C₂²	1	4	yes	complemented
119	C₇×#537	C₂²	1	2	yes	complemented
120	C₇×#537	C₂²	1	4	yes	complemented
121	C₇×#537	C₂²	1	2	yes	complemented
122	C₇×#537	C₂²	1	4	yes	complemented
123	C₇×#536	C₂²	1	4	yes	complemented
124	C₇×#536	C₂²	1	2	yes	complemented
125	C₇×#536	C₂²	1	4	yes	complemented
126	C₇×#535	C₂²	1	4	yes	complemented
127	C₇×#535	C₂²	1	2	yes	complemented
128	C₇×#535	C₂²	1	4	yes	complemented
129	C₇×#535	C₂²	1	4	yes	complemented
130	C₇×#534	C₂²	1	4	yes	complemented
131	C₇×#534	C₂²	1	8	yes	complemented
132	C₇×#533	C₂²	1	1	yes	characteristic, complemented
133	C₇×#533	C₂²	1	1	yes	characteristic, complemented
134	C₇×#533	C₂²	1	1	yes	characteristic, complemented
135	C₇×#532	C₂²	1	1	yes	characteristic
136	C₇×#532	C₂²	1	2	yes	complemented
137	C₇×#532	C₂²	1	2	yes	complemented
138	C₇×#532	C₂²	1	2	yes	complemented
139	C₇×#532	C₂²	1	1	yes	characteristic, complemented
140	C₇×#532	C₂²	1	2	yes	complemented
141	C₇×#532	C₂²	1	1	yes	characteristic, complemented
142	C₇×#532	C₂²	1	1	yes	characteristic, complemented
143	C₇×#532	C₂²	1	2	yes	complemented
144	C₇×#532	C₂²	1	2	yes	complemented
145	C₇×#532	C₂²	1	1	yes	characteristic, complemented
146	C₇×#532	C₂²	1	1	yes	characteristic, complemented
147	C₇×#532	C₂²	1	1	yes	characteristic, complemented
148	C₇×#532	C₂²	1	4	yes	complemented
149	C₇×#532	C₂²	1	4	yes	complemented
150	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
151	C₂×C₇×#127	C₂²	1	1	yes	characteristic, complemented
152	C₇×#529	C₂²	1	2	yes	complemented
153	C₇×#529	C₂²	1	2	yes	complemented
154	C₇×#529	C₂²	1	2	yes	complemented
155	C₇×#529	C₂²	1	2	yes	complemented
156	C₇×#529	C₂²	1	2	yes	complemented
157	C₇×#529	C₂²	1	2	yes	complemented
158	C₇×#529	C₂²	1	2	yes	complemented
159	C₇×#529	C₂²	1	2	yes	complemented
160	C₇×#529	C₂²	1	2	yes	complemented
161	C₇×#529	C₂²	1	2	yes	complemented
162	C₇×#529	C₂²	1	2	yes	complemented
163	C₇×#529	C₂²	1	2	yes	complemented
164	C₇×#529	C₂²	1	2	yes	complemented
165	C₇×#529	C₂²	1	2	yes	complemented
166	C₇×#529	C₂²	1	4	yes	complemented
167	C₇×#529	C₂²	1	4	yes	complemented
168	C₇×#529	C₂²	1	4	yes	complemented
169	C₂×C₇×#126	C₂²	1	2	yes	complemented
170	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₇×#124	C₂²	1	2	yes	complemented
173	C₂×C₇×#124	C₂²	1	4	yes	complemented
174	C₇×#525	C₂²	1	2	yes	complemented
175	C₇×#525	C₂²	1	2	yes	complemented
176	C₇×#525	C₂²	1	2	yes	complemented
177	C₇×#525	C₂²	1	4	yes	complemented
178	C₇×#525	C₂²	1	4	yes	complemented
179	C₇×#525	C₂²	1	4	yes	complemented
180	C₂×C₇×#123	C₂²	1	2	yes	complemented
181	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
183	C₂×C₇×#121	C₂²	1	1	yes	characteristic
184	C₂×C₇×#121	C₂²	1	2	yes	complemented
185	C₂×C₇×#121	C₂²	1	2	yes	complemented
186	C₂×C₇×#121	C₂²	1	4	yes	complemented
187	C₂×C₇×#121	C₂²	1	4	yes	complemented
188	C₇×#520	C₂²	1	2	yes	complemented
189	C₇×#520	C₂²	1	2	yes	complemented
190	C₇×#520	C₂²	1	4	yes	complemented
191	C₇×#518	C₂²	1	4	yes	complemented
192	C₇×#518	C₂²	1	8	yes	complemented
193	C₄×C₇×#41	C₂²	1	2	yes	complemented
194	C₄×C₇×#41	C₂²	1	2	yes	complemented
195	C₄×C₇×#41	C₂²	1	2	yes	complemented
196	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
199	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
200	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
201	C₂×C₇×#117	C₂²	1	2	yes	complemented
202	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
203	#62830	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₇×2₋¹⁺⁴	—	4	8	no	—
205	C₇×H(5,𝔽₂)	—	4	8	no	—
206	C₂×C₇×#41	—	4	8	no	—
207	C₂×C₇×#41	C₂³	1	2	yes	—
208	C₂×C₇×#41	C₂³	1	2	yes	—
209	C₂×C₇×#41	C₂³	1	2	yes	—
210	C₂×C₇×#41	C₂³	1	4	yes	—
211	C₂×C₇×#41	C₂³	1	4	yes	—
212	C₂×C₇×#41	C₂³	1	2	yes	—
213	C₂×C₇×#41	C₂³	1	2	yes	—
214	C₂×C₇×#41	C₂³	1	4	yes	—
215	C₂×C₇×#41	C₂³	1	4	yes	—
216	C₂×C₇×#41	C₂³	1	4	yes	—
217	C₂×C₇×#41	C₂³	1	4	yes	—
218	C₂×C₇×#41	C₂³	1	8	yes	—
219	C₂×C₇×#41	C₂³	1	2	yes	—
220	C₂×C₇×#41	C₂³	1	2	yes	—
221	C₂×C₇×#41	C₂³	1	4	yes	—
222	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₇×Q₈	C₂³	1	2	yes	—
224	C₂²×C₇×Q₈	C₂³	1	4	yes	—
225	C₂²×C₇×Q₈	C₂³	1	4	yes	—
226	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₇×D₄	C₂³	1	4	yes	—
228	C₂²×C₇×D₄	C₂³	1	2	yes	—
229	C₂²×C₇×D₄	C₂³	1	8	yes	—
230	C₂²×C₇×D₄	C₂³	1	4	yes	—
231	C₂²×C₇×D₄	C₂³	1	4	yes	—
232	C₂²×C₇×D₄	C₂³	1	2	yes	—
233	C₂²×C₇×D₄	C₂³	1	2	yes	—
234	C₂²×C₇×D₄	C₂³	1	2	yes	—
235	C₂²×C₇×D₄	C₂³	1	8	yes	—
236	C₂²×C₇×D₄	C₂³	1	4	yes	—
237	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
238	C₂³×C₄×C₇	C₂³	1	4	yes	—
239	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
240	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
241	C₂³×C₄×C₇	C₂³	1	2	yes	—
242	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
244	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
245	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
246	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
247	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
248	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
249	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
250	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
251	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
252	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
253	C₇×#127	C₂³	1	1	yes	characteristic
254	C₇×#127	C₂³	1	2	yes	—
255	C₇×#127	C₂³	1	2	yes	—
256	C₇×#127	C₂³	1	1	yes	characteristic
257	C₇×#127	C₂³	1	2	yes	—
258	C₇×#127	C₂³	1	1	yes	characteristic
259	C₇×#127	C₂³	1	4	yes	—
260	C₇×#127	C₂³	1	4	yes	—
261	C₇×#127	C₂³	1	8	yes	—
262	C₇×#126	C₂³	1	4	yes	—
263	C₇×#126	C₂³	1	4	yes	—
264	C₇×#126	C₂³	1	4	yes	—
265	C₇×#126	C₂³	1	4	yes	—
266	C₇×#126	C₂³	1	4	yes	—
267	C₇×#126	C₂³	1	4	yes	—
268	C₇×#126	C₂³	1	8	yes	—
269	C₇×#126	C₂³	1	8	yes	—
270	C₇×#126	C₂³	1	8	yes	—
271	C₇×#126	C₂³	1	8	yes	—
272	C₇×#126	C₂³	1	8	yes	—
273	C₇×#126	C₂³	1	8	yes	—
274	C₇×#126	C₂³	1	8	yes	—
275	C₇×#125	C₂³	1	2	yes	—
276	C₇×#125	C₂³	1	2	yes	—
277	C₇×#125	C₂³	1	2	yes	—
278	C₇×#125	C₂³	1	2	yes	—
279	C₇×#125	C₂³	1	2	yes	—
280	C₇×#125	C₂³	1	2	yes	—
281	C₇×#125	C₂³	1	2	yes	—
282	C₇×#125	C₂³	1	4	yes	—
283	C₇×#125	C₂³	1	8	yes	—
284	C₇×#125	C₂³	1	8	yes	—
285	C₇×#125	C₂³	1	8	yes	—
286	C₇×#124	C₂³	1	2	yes	—
287	C₇×#124	C₂³	1	2	yes	—
288	C₇×#124	C₂³	1	2	yes	—
289	C₇×#124	C₂³	1	2	yes	—
290	C₇×#124	C₂³	1	2	yes	—
291	C₇×#124	C₂³	1	2	yes	—
292	C₇×#124	C₂³	1	2	yes	—
293	C₇×#124	C₂³	1	4	yes	—
294	C₇×#124	C₂³	1	2	yes	—
295	C₇×#124	C₂³	1	4	yes	—
296	C₇×#124	C₂³	1	4	yes	—
297	C₇×#124	C₂³	1	4	yes	—
298	C₇×#124	C₂³	1	8	yes	—
299	C₇×#124	C₂³	1	8	yes	—
300	C₇×#124	C₂³	1	2	yes	—
301	C₇×#124	C₂³	1	2	yes	—
302	C₇×#124	C₂³	1	2	yes	—
303	C₇×#124	C₂³	1	4	yes	—
304	C₇×#124	C₂³	1	8	yes	—
305	C₇×#124	C₂³	1	8	yes	—
306	C₇×#124	C₂³	1	8	yes	—
307	C₇×#124	C₂³	1	8	yes	—
308	C₇×#123	C₂³	1	4	yes	—
309	C₇×#123	C₂³	1	4	yes	—
310	C₇×#123	C₂³	1	4	yes	—
311	C₇×#123	C₂³	1	4	yes	—
312	C₇×#123	C₂³	1	4	yes	—
313	C₇×#123	C₂³	1	4	yes	—
314	C₇×#123	C₂³	1	4	yes	—
315	C₇×#123	C₂³	1	8	yes	—
316	C₇×#123	C₂³	1	8	yes	—
317	C₇×#123	C₂³	1	8	yes	—
318	C₇×#123	C₂³	1	8	yes	—
319	C₇×#123	C₂³	1	8	yes	—
320	C₇×#123	C₂³	1	8	yes	—
321	C₇×#123	C₂³	1	8	yes	—
322	C₇×#123	C₂³	1	8	yes	—
323	C₇×#123	C₂³	1	8	yes	—
324	C₇×#123	C₂³	1	8	yes	—
325	C₇×#123	C₂³	1	8	yes	—
326	C₇×#123	C₂³	1	8	yes	—
327	C₇×#123	C₂³	1	8	yes	—
328	C₇×#123	C₂³	1	8	yes	—
329	C₇×#123	C₂³	1	8	yes	—
330	C₇×#123	C₂³	1	8	yes	—
331	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
332	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
333	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
340	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
341	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
342	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
343	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
344	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
345	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
346	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
347	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
350	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
351	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
352	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
353	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
354	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
355	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
356	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
357	C₇×#121	C₂³	1	2	yes	—
358	C₇×#121	C₂³	1	2	yes	—
359	C₇×#121	C₂³	1	2	yes	—
360	C₇×#121	C₂³	1	2	yes	—
361	C₇×#121	C₂³	1	2	yes	—
362	C₇×#121	C₂³	1	2	yes	—
363	C₇×#121	C₂³	1	2	yes	—
364	C₇×#121	C₂³	1	2	yes	—
365	C₇×#121	C₂³	1	2	yes	—
366	C₇×#121	C₂³	1	2	yes	—
367	C₇×#121	C₂³	1	2	yes	—
368	C₇×#121	C₂³	1	4	yes	—
369	C₇×#121	C₂³	1	2	yes	—
370	C₇×#121	C₂³	1	4	yes	—
371	C₇×#121	C₂³	1	4	yes	—
372	C₇×#121	C₂³	1	2	yes	—
373	C₇×#121	C₂³	1	2	yes	—
374	C₇×#121	C₂³	1	4	yes	—
375	C₇×#121	C₂³	1	8	yes	—
376	C₇×#121	C₂³	1	4	yes	—
377	C₇×#121	C₂³	1	4	yes	—
378	C₇×#121	C₂³	1	8	yes	—
379	C₇×#121	C₂³	1	8	yes	—
380	C₇×#121	C₂³	1	8	yes	—
381	C₇×#121	C₂³	1	4	yes	—
382	C₇×#121	C₂³	1	4	yes	—
383	C₇×#121	C₂³	1	2	yes	—
384	C₇×#121	C₂³	1	2	yes	—
385	C₇×#121	C₂³	1	2	yes	—
386	C₇×#121	C₂³	1	2	yes	—
387	C₇×#121	C₂³	1	4	yes	—
388	C₇×#121	C₂³	1	4	yes	—
389	C₇×#121	C₂³	1	4	yes	—
390	C₇×#121	C₂³	1	4	yes	—
391	C₇×#121	C₂³	1	4	yes	—
392	C₇×#121	C₂³	1	8	yes	—
393	C₇×#121	C₂³	1	8	yes	—
394	C₇×#121	C₂³	1	8	yes	—
395	C₇×#121	C₂³	1	8	yes	—
396	C₇×#121	C₂³	1	8	yes	—
397	C₇×#121	C₂³	1	8	yes	—
398	C₇×#121	C₂³	1	8	yes	—
399	C₇×#121	C₂³	1	8	yes	—
400	C₇×#121	C₂³	1	8	yes	—
401	C₇×#121	C₂³	1	8	yes	—
402	C₇×#121	C₂³	1	8	yes	—
403	C₇×#121	C₂³	1	8	yes	—
404	C₇×#121	C₂³	1	8	yes	—
405	C₇×#121	C₂³	1	8	yes	—
406	C₇×#121	C₂³	1	8	yes	—
407	C₇×#121	C₂³	1	8	yes	—
408	C₇×#120	C₂³	1	4	yes	—
409	C₇×#120	C₂³	1	8	yes	—
410	C₇×#120	C₂³	1	8	yes	—
411	C₇×#120	C₂³	1	8	yes	—
412	C₇×#120	C₂³	1	8	yes	—
413	C₇×#120	C₂³	1	8	yes	—
414	C₇×#120	C₂³	1	8	yes	—
415	C₇×#120	C₂³	1	8	yes	—
416	C₇×#120	C₂³	1	8	yes	—
417	C₇×#120	C₂³	1	8	yes	—
418	C₄×C₇×Q₈	C₂³	1	2	yes	—
419	C₄×C₇×Q₈	C₂³	1	2	yes	—
420	C₄×C₇×Q₈	C₂³	1	2	yes	—
421	C₄×C₇×Q₈	C₂³	1	2	yes	—
422	C₄×C₇×Q₈	C₂³	1	2	yes	—
423	C₄×C₇×Q₈	C₂³	1	2	yes	—
424	C₄×C₇×Q₈	C₂³	1	2	yes	—
425	C₄×C₇×Q₈	C₂³	1	2	yes	—
426	C₄×C₇×Q₈	C₂³	1	2	yes	—
427	C₄×C₇×Q₈	C₂³	1	2	yes	—
428	C₄×C₇×Q₈	C₂³	1	4	yes	—
429	C₄×C₇×Q₈	C₂³	1	4	yes	—
430	C₄×C₇×Q₈	C₂³	1	4	yes	—
431	C₄×C₇×D₄	C₂³	1	4	yes	—
432	C₄×C₇×D₄	C₂³	1	2	yes	—
433	C₄×C₇×D₄	C₂³	1	2	yes	—
434	C₄×C₇×D₄	C₂³	1	4	yes	—
435	C₄×C₇×D₄	C₂³	1	4	yes	—
436	C₄×C₇×D₄	C₂³	1	2	yes	—
437	C₄×C₇×D₄	C₂³	1	2	yes	—
438	C₄×C₇×D₄	C₂³	1	2	yes	—
439	C₄×C₇×D₄	C₂³	1	2	yes	—
440	C₄×C₇×D₄	C₂³	1	4	yes	—
441	C₄×C₇×D₄	C₂³	1	2	yes	—
442	C₄×C₇×D₄	C₂³	1	2	yes	—
443	C₄×C₇×D₄	C₂³	1	4	yes	—
444	C₄×C₇×D₄	C₂³	1	4	yes	—
445	C₄×C₇×D₄	C₂³	1	4	yes	—
446	C₄×C₇×D₄	C₂³	1	2	yes	—
447	C₄×C₇×D₄	C₂³	1	2	yes	—
448	C₄×C₇×D₄	C₂³	1	2	yes	—
449	C₄×C₇×D₄	C₂³	1	4	yes	—
450	C₄×C₇×D₄	C₂³	1	2	yes	—
451	C₄×C₇×D₄	C₂³	1	4	yes	—
452	C₄×C₇×D₄	C₂³	1	2	yes	—
453	C₄×C₇×D₄	C₂³	1	4	yes	—
454	C₄×C₇×D₄	C₂³	1	4	yes	—
455	C₄×C₇×D₄	C₂³	1	4	yes	—
456	C₄×C₇×D₄	C₂³	1	4	yes	—
457	C₄×C₇×D₄	C₂³	1	4	yes	—
458	C₄×C₇×D₄	C₂³	1	2	yes	—
459	C₄×C₇×D₄	C₂³	1	2	yes	—
460	C₄×C₇×D₄	C₂³	1	2	yes	—
461	C₄×C₇×D₄	C₂³	1	2	yes	—
462	C₄×C₇×D₄	C₂³	1	2	yes	—
463	C₄×C₇×D₄	C₂³	1	8	yes	—
464	C₄×C₇×D₄	C₂³	1	8	yes	—
465	C₄×C₇×D₄	C₂³	1	8	yes	—
466	C₄×C₇×D₄	C₂³	1	8	yes	—
467	C₄×C₇×D₄	C₂³	1	8	yes	—
468	C₄×C₇×D₄	C₂³	1	8	yes	—
469	C₄×C₇×D₄	C₂³	1	4	yes	—
470	C₄×C₇×D₄	C₂³	1	8	yes	—
471	C₄×C₇×D₄	C₂³	1	8	yes	—
472	C₄×C₇×D₄	C₂³	1	4	yes	—
473	C₄×C₇×D₄	C₂³	1	8	yes	—
474	C₄×C₇×D₄	C₂³	1	8	yes	—
475	C₄×C₇×D₄	C₂³	1	8	yes	—
476	C₄×C₇×D₄	C₂³	1	4	yes	—
477	C₄×C₇×D₄	C₂³	1	4	yes	—
478	C₄×C₇×D₄	C₂³	1	8	yes	—
479	C₄×C₇×D₄	C₂³	1	4	yes	—
480	C₇×#117	C₂³	1	4	yes	—
481	C₇×#117	C₂³	1	4	yes	—
482	C₇×#117	C₂³	1	4	yes	—
483	C₇×#117	C₂³	1	4	yes	—
484	C₇×#117	C₂³	1	2	yes	—
485	C₇×#117	C₂³	1	2	yes	—
486	C₇×#117	C₂³	1	2	yes	—
487	C₇×#117	C₂³	1	4	yes	—
488	C₇×#117	C₂³	1	4	yes	—
489	C₇×#117	C₂³	1	4	yes	—
490	C₇×#117	C₂³	1	4	yes	—
491	C₇×#117	C₂³	1	8	yes	—
492	C₇×#117	C₂³	1	8	yes	—
493	C₇×#117	C₂³	1	4	yes	—
494	C₇×#117	C₂³	1	4	yes	—
495	C₇×#117	C₂³	1	8	yes	—
496	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
497	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
498	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
499	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
500	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
501	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
502	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
503	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
504	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
505	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
506	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
507	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
508	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
509	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
510	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
511	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
512	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
513	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
514	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
515	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
516	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
517	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
518	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
519	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
520	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
521	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
529	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
532	C₂×C₄²×C₇	C₂³	1	2	yes	—
533	C₂×C₄²×C₇	C₂³	1	4	yes	—
534	#3562	C₂×C₇	1	4	yes	complemented
535	#3560	C₂×C₇	1	4	yes	complemented
536	#3552	C₂×C₇	1	2	yes	complemented
537	#3551	C₂×C₇	1	4	yes	complemented
538	#3547	C₂×C₇	1	2	yes	complemented
539	#3546	C₂×C₇	1	2	yes	complemented
540	#3543	C₂×C₇	1	2	yes	complemented
541	#3534	C₂×C₇	1	4	yes	complemented
542	#3520	C₂×C₇	1	2	yes	complemented
543	#3519	C₂×C₇	1	4	yes	complemented
544	#3519	C₂×C₇	1	2	yes	complemented
545	#3517	C₂×C₇	1	2	yes	complemented
546	#3514	C₂×C₇	1	4	yes	complemented
547	#3514	C₂×C₇	1	2	yes	complemented
548	#3512	C₂×C₇	1	2	yes	complemented
549	#3507	C₂×C₇	1	1	yes	characteristic, complemented
550	#3506	C₂×C₇	1	1	yes	characteristic, complemented
551	#3505	C₂×C₇	1	4	yes	complemented
552	#3500	C₂×C₇	1	2	yes	complemented
553	#3497	C₂×C₇	1	1	yes	characteristic, complemented
554	#3496	C₂×C₇	1	1	yes	characteristic, complemented
555	#3494	C₂×C₇	1	4	yes	complemented
556	#3489	C₂×C₇	1	2	yes	complemented
557	#3488	C₂×C₇	1	2	yes	complemented
558	#3444	C₂×C₇	1	1	yes	characteristic, complemented
559	C₂×#532	C₂×C₇	1	1	yes	characteristic, complemented
560	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
561	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
562	C₂⁴×C₇	C₂⁴	1	2	yes	—
563	C₂⁴×C₇	C₂⁴	1	4	yes	—
564	C₂⁴×C₇	C₂⁴	1	8	yes	—
565	C₇×#41	—	2	8	no	—
566	C₇×#41	—	2	8	no	—
567	C₇×#41	—	2	8	no	—
568	C₇×#41	—	4	8	no	—
569	C₇×#41	—	4	8	no	—
570	C₇×#41	—	4	4	no	—
571	C₇×#41	—	4	16	no	—
572	C₇×#41	—	4	4	no	—
573	C₇×#41	—	4	4	no	—
574	C₇×#41	—	4	8	no	—
575	C₇×#41	—	4	4	no	—
576	C₇×#41	—	4	8	no	—
577	C₇×#41	—	4	8	no	—
578	C₇×#41	—	4	8	no	—
579	C₇×#41	—	4	8	no	—
580	C₂×C₇×Q₈	—	2	4	no	—
581	C₂×C₇×Q₈	—	4	4	no	—
582	C₂×C₇×Q₈	—	4	8	no	—
583	C₂×C₇×Q₈	—	4	8	no	—
584	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
585	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
586	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
587	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
588	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
589	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
590	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
591	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
592	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
593	C₂×C₇×D₄	—	2	4	no	—
594	C₂×C₇×D₄	—	4	4	no	—
595	C₂×C₇×D₄	—	4	8	no	—
596	C₂×C₇×D₄	—	4	4	no	—
597	C₂×C₇×D₄	—	4	8	no	—
598	C₂×C₇×D₄	—	4	8	no	—
599	C₂×C₇×D₄	—	4	4	no	—
600	C₂×C₇×D₄	—	4	4	no	—
601	C₂×C₇×D₄	—	4	16	no	—
602	C₂×C₇×D₄	—	4	8	no	—
603	C₂×C₇×D₄	—	4	16	no	—
604	C₂×C₇×D₄	C₂⁴	1	4	yes	—
605	C₂×C₇×D₄	C₂⁴	1	4	yes	—
606	C₂×C₇×D₄	C₂⁴	1	2	yes	—
607	C₂×C₇×D₄	C₂⁴	1	2	yes	—
608	C₂×C₇×D₄	C₂⁴	1	2	yes	—
609	C₂×C₇×D₄	C₂⁴	1	4	yes	—
610	C₂×C₇×D₄	C₂⁴	1	4	yes	—
611	C₂×C₇×D₄	C₂⁴	1	4	yes	—
612	C₂×C₇×D₄	C₂⁴	1	2	yes	—
613	C₂×C₇×D₄	C₂⁴	1	2	yes	—
614	C₂×C₇×D₄	C₂⁴	1	2	yes	—
615	C₂×C₇×D₄	C₂⁴	1	2	yes	—
616	C₂×C₇×D₄	C₂⁴	1	2	yes	—
617	C₂×C₇×D₄	C₂⁴	1	2	yes	—
618	C₂×C₇×D₄	C₂⁴	1	8	yes	—
619	C₂×C₇×D₄	C₂⁴	1	2	yes	—
620	C₂×C₇×D₄	C₂⁴	1	8	yes	—
621	C₂×C₇×D₄	C₂⁴	1	4	yes	—
622	C₂×C₇×D₄	C₂⁴	1	8	yes	—
623	C₂×C₇×D₄	C₂⁴	1	4	yes	—
624	C₂×C₇×D₄	C₂⁴	1	4	yes	—
625	C₂×C₇×D₄	C₂⁴	1	4	yes	—
626	C₂×C₇×D₄	C₂⁴	1	8	yes	—
627	C₂×C₇×D₄	C₂⁴	1	2	yes	—
628	C₂×C₇×D₄	C₂⁴	1	8	yes	—
629	C₂×C₇×D₄	C₂⁴	1	4	yes	—
630	C₂×C₇×D₄	C₂⁴	1	8	yes	—
631	C₂×C₇×D₄	C₂⁴	1	4	yes	—
632	C₂×C₇×D₄	C₂⁴	1	8	yes	—
633	C₂×C₇×D₄	C₂⁴	1	4	yes	—
634	C₂²×C₄×C₇	—	2	4	no	—
635	C₂²×C₄×C₇	—	4	2	no	—
636	C₂²×C₄×C₇	—	4	4	no	—
637	C₂²×C₄×C₇	—	4	8	no	—
638	C₂²×C₄×C₇	—	4	2	no	—
639	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
640	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
641	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
642	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
643	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
644	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
645	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
646	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
647	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
648	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
649	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
650	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
651	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
652	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
653	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
654	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
655	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
656	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
657	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
658	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
659	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
660	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
661	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
662	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
663	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
664	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
665	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
666	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
667	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
668	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
669	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
670	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
671	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
672	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
673	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
674	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
675	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
676	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
678	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
679	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
680	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
681	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
682	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
684	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
685	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
686	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
687	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
688	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
689	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
690	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
691	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
692	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
693	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
694	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
695	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
696	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
697	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
698	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
699	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
701	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
702	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
703	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
704	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
705	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
706	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
707	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
708	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
709	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
710	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
711	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
714	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
715	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
716	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
717	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
718	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
719	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
720	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
721	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
722	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
723	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
724	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
726	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
727	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
728	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
729	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
730	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
731	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
732	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
733	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
734	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
735	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
736	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
737	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
740	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
741	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
746	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
748	C₄²×C₇	C₂⁴	1	1	yes	characteristic
749	C₄²×C₇	C₂⁴	1	1	yes	characteristic
750	C₄²×C₇	C₂⁴	1	1	yes	characteristic
751	C₄²×C₇	C₂⁴	1	1	yes	characteristic
752	C₄²×C₇	C₂⁴	1	1	yes	characteristic
753	C₄²×C₇	C₂⁴	1	1	yes	characteristic
754	C₄²×C₇	C₂⁴	1	1	yes	characteristic
755	C₄²×C₇	C₂⁴	1	1	yes	characteristic
756	C₄²×C₇	C₂⁴	1	1	yes	characteristic
757	C₄²×C₇	C₂⁴	1	1	yes	characteristic
758	C₄²×C₇	C₂⁴	1	1	yes	characteristic
759	C₄²×C₇	C₂⁴	1	1	yes	characteristic
760	C₄²×C₇	C₂⁴	1	1	yes	characteristic
761	C₄²×C₇	C₂⁴	1	1	yes	characteristic
762	C₄²×C₇	C₂⁴	1	1	yes	characteristic
763	C₄²×C₇	C₂⁴	1	1	yes	characteristic
764	C₄²×C₇	C₂⁴	1	4	yes	—
765	C₄²×C₇	C₂⁴	1	4	yes	—
766	C₄²×C₇	C₂⁴	1	4	yes	—
767	C₄²×C₇	C₂⁴	1	4	yes	—
768	C₄²×C₇	C₂⁴	1	4	yes	—
769	C₄²×C₇	C₂⁴	1	8	yes	—
770	C₄²×C₇	C₂⁴	1	8	yes	—
771	C₂×2₋¹⁺⁴	C₂²×C₇	1	2	yes	complemented
772	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	complemented
773	C₂²×#41	C₂²×C₇	1	2	yes	complemented
774	#563	C₂²×C₇	1	8	yes	complemented
775	#562	C₂²×C₇	1	8	yes	complemented
776	#560	C₂²×C₇	1	8	yes	complemented
777	#560	C₂²×C₇	1	8	yes	complemented
778	#559	C₂²×C₇	1	4	yes	complemented
779	#559	C₂²×C₇	1	2	yes	complemented
780	#557	C₂²×C₇	1	2	yes	complemented
781	#556	C₂²×C₇	1	2	yes	complemented
782	#556	C₂²×C₇	1	4	yes	complemented
783	#556	C₂²×C₇	1	2	yes	complemented
784	#555	C₂²×C₇	1	8	yes	complemented
785	#555	C₂²×C₇	1	2	yes	complemented
786	#555	C₂²×C₇	1	4	yes	complemented
787	#554	C₂²×C₇	1	2	yes	complemented
788	#554	C₂²×C₇	1	4	yes	complemented
789	#553	C₂²×C₇	1	8	yes	complemented
790	#553	C₂²×C₇	1	8	yes	complemented
791	#553	C₂²×C₇	1	4	yes	complemented
792	#553	C₂²×C₇	1	4	yes	complemented
793	#553	C₂²×C₇	1	8	yes	complemented
794	#553	C₂²×C₇	1	4	yes	complemented
795	#553	C₂²×C₇	1	8	yes	complemented
796	#553	C₂²×C₇	1	4	yes	complemented
797	#553	C₂²×C₇	1	4	yes	complemented
798	#552	C₂²×C₇	1	4	yes	complemented
799	#552	C₂²×C₇	1	4	yes	complemented
800	#552	C₂²×C₇	1	4	yes	complemented
801	#551	C₂²×C₇	1	8	yes	complemented
802	#551	C₂²×C₇	1	8	yes	complemented
803	#551	C₂²×C₇	1	8	yes	complemented
804	#551	C₂²×C₇	1	8	yes	complemented
805	#550	C₂²×C₇	1	4	yes	complemented
806	#550	C₂²×C₇	1	2	yes	complemented
807	#550	C₂²×C₇	1	2	yes	complemented
808	#550	C₂²×C₇	1	2	yes	complemented
809	#550	C₂²×C₇	1	4	yes	complemented
810	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
811	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
812	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
813	#548	C₂²×C₇	1	4	yes	complemented
814	#548	C₂²×C₇	1	4	yes	complemented
815	#548	C₂²×C₇	1	4	yes	complemented
816	#548	C₂²×C₇	1	4	yes	complemented
817	#548	C₂²×C₇	1	4	yes	complemented
818	#548	C₂²×C₇	1	4	yes	complemented
819	#547	C₂²×C₇	1	8	yes	complemented
820	#547	C₂²×C₇	1	4	yes	complemented
821	#547	C₂²×C₇	1	2	yes	complemented
822	#547	C₂²×C₇	1	2	yes	complemented
823	#547	C₂²×C₇	1	2	yes	complemented
824	#546	C₂²×C₇	1	8	yes	complemented
825	#546	C₂²×C₇	1	4	yes	complemented
826	#546	C₂²×C₇	1	4	yes	complemented
827	#546	C₂²×C₇	1	8	yes	complemented
828	#546	C₂²×C₇	1	8	yes	complemented
829	#546	C₂²×C₇	1	4	yes	complemented
830	#546	C₂²×C₇	1	4	yes	complemented
831	#546	C₂²×C₇	1	4	yes	complemented
832	#546	C₂²×C₇	1	4	yes	complemented
833	#546	C₂²×C₇	1	8	yes	complemented
834	#546	C₂²×C₇	1	8	yes	complemented
835	#546	C₂²×C₇	1	4	yes	complemented
836	#546	C₂²×C₇	1	4	yes	complemented
837	D₄²	C₂²×C₇	1	4	yes	complemented
838	D₄²	C₂²×C₇	1	8	yes	complemented
839	D₄²	C₂²×C₇	1	2	yes	complemented
840	D₄²	C₂²×C₇	1	2	yes	complemented
841	D₄²	C₂²×C₇	1	4	yes	complemented
842	#544	C₂²×C₇	1	4	yes	complemented
843	#542	C₂²×C₇	1	4	yes	complemented
844	#542	C₂²×C₇	1	4	yes	complemented
845	#542	C₂²×C₇	1	8	yes	complemented
846	#541	C₂²×C₇	1	4	yes	complemented
847	#540	C₂²×C₇	1	4	yes	complemented
848	#540	C₂²×C₇	1	4	yes	complemented
849	#540	C₂²×C₇	1	4	yes	complemented
850	#540	C₂²×C₇	1	8	yes	complemented
851	#540	C₂²×C₇	1	8	yes	complemented
852	#539	C₂²×C₇	1	8	yes	complemented
853	#539	C₂²×C₇	1	4	yes	complemented
854	#539	C₂²×C₇	1	8	yes	complemented
855	#538	C₂²×C₇	1	8	yes	complemented
856	#538	C₂²×C₇	1	4	yes	complemented
857	#538	C₂²×C₇	1	8	yes	complemented
858	#538	C₂²×C₇	1	8	yes	complemented
859	#538	C₂²×C₇	1	8	yes	complemented
860	#538	C₂²×C₇	1	8	yes	complemented
861	#537	C₂²×C₇	1	2	yes	complemented
862	#537	C₂²×C₇	1	4	yes	complemented
863	#537	C₂²×C₇	1	2	yes	complemented
864	#537	C₂²×C₇	1	4	yes	complemented
865	#537	C₂²×C₇	1	4	yes	complemented
866	#536	C₂²×C₇	1	2	yes	complemented
867	#536	C₂²×C₇	1	4	yes	complemented
868	#536	C₂²×C₇	1	4	yes	complemented
869	#535	C₂²×C₇	1	2	yes	complemented
870	#535	C₂²×C₇	1	4	yes	complemented
871	#535	C₂²×C₇	1	4	yes	complemented
872	#535	C₂²×C₇	1	4	yes	complemented
873	#534	C₂²×C₇	1	4	yes	complemented
874	#534	C₂²×C₇	1	8	yes	complemented
875	#533	C₂²×C₇	1	1	yes	characteristic, complemented
876	#533	C₂²×C₇	1	1	yes	characteristic, complemented
877	#533	C₂²×C₇	1	1	yes	characteristic, complemented
878	#532	C₂²×C₇	1	1	yes	characteristic
879	#532	C₂²×C₇	1	2	yes	complemented
880	#532	C₂²×C₇	1	1	yes	characteristic, complemented
881	#532	C₂²×C₇	1	2	yes	complemented
882	#532	C₂²×C₇	1	1	yes	characteristic, complemented
883	#532	C₂²×C₇	1	1	yes	characteristic, complemented
884	#532	C₂²×C₇	1	2	yes	complemented
885	#532	C₂²×C₇	1	2	yes	complemented
886	#532	C₂²×C₇	1	2	yes	complemented
887	#532	C₂²×C₇	1	2	yes	complemented
888	#532	C₂²×C₇	1	1	yes	characteristic, complemented
889	#532	C₂²×C₇	1	1	yes	characteristic, complemented
890	#532	C₂²×C₇	1	1	yes	characteristic, complemented
891	#532	C₂²×C₇	1	4	yes	complemented
892	#532	C₂²×C₇	1	4	yes	complemented
893	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
894	C₂×#127	C₂²×C₇	1	1	yes	characteristic, complemented
895	#529	C₂²×C₇	1	2	yes	complemented
896	#529	C₂²×C₇	1	2	yes	complemented
897	#529	C₂²×C₇	1	2	yes	complemented
898	#529	C₂²×C₇	1	2	yes	complemented
899	#529	C₂²×C₇	1	2	yes	complemented
900	#529	C₂²×C₇	1	2	yes	complemented
901	#529	C₂²×C₇	1	2	yes	complemented
902	#529	C₂²×C₇	1	2	yes	complemented
903	#529	C₂²×C₇	1	2	yes	complemented
904	#529	C₂²×C₇	1	2	yes	complemented
905	#529	C₂²×C₇	1	2	yes	complemented
906	#529	C₂²×C₇	1	2	yes	complemented
907	#529	C₂²×C₇	1	2	yes	complemented
908	#529	C₂²×C₇	1	2	yes	complemented
909	#529	C₂²×C₇	1	4	yes	complemented
910	#529	C₂²×C₇	1	4	yes	complemented
911	#529	C₂²×C₇	1	4	yes	complemented
912	C₂×#126	C₂²×C₇	1	2	yes	complemented
913	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
914	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
915	C₂×#124	C₂²×C₇	1	2	yes	complemented
916	C₂×#124	C₂²×C₇	1	4	yes	complemented
917	#525	C₂²×C₇	1	2	yes	complemented
918	#525	C₂²×C₇	1	2	yes	complemented
919	#525	C₂²×C₇	1	2	yes	complemented
920	#525	C₂²×C₇	1	4	yes	complemented
921	#525	C₂²×C₇	1	4	yes	complemented
922	#525	C₂²×C₇	1	4	yes	complemented
923	C₂×#123	C₂²×C₇	1	2	yes	complemented
924	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
925	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
926	C₂×#121	C₂²×C₇	1	1	yes	characteristic
927	C₂×#121	C₂²×C₇	1	2	yes	complemented
928	C₂×#121	C₂²×C₇	1	2	yes	complemented
929	C₂×#121	C₂²×C₇	1	4	yes	complemented
930	C₂×#121	C₂²×C₇	1	4	yes	complemented
931	#520	C₂²×C₇	1	2	yes	complemented
932	#520	C₂²×C₇	1	2	yes	complemented
933	#520	C₂²×C₇	1	4	yes	complemented
934	#518	C₂²×C₇	1	4	yes	complemented
935	#518	C₂²×C₇	1	8	yes	complemented
936	C₄×#41	C₂²×C₇	1	2	yes	complemented
937	C₄×#41	C₂²×C₇	1	2	yes	complemented
938	C₄×#41	C₂²×C₇	1	2	yes	complemented
939	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
940	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
941	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
942	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
943	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
944	C₂×#117	C₂²×C₇	1	2	yes	complemented
945	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
946	C₂³×C₇	—	2	2	no	—
947	C₂³×C₇	—	2	2	no	—
948	C₂³×C₇	—	2	4	no	—
949	C₂³×C₇	—	2	8	no	—
950	C₂³×C₇	—	4	1	no	—
951	C₂³×C₇	—	4	4	no	—
952	C₂³×C₇	—	4	2	no	—
953	C₂³×C₇	—	4	4	no	—
954	C₂³×C₇	—	4	2	no	—
955	C₂³×C₇	—	4	8	no	—
956	C₂³×C₇	—	4	8	no	—
957	C₂³×C₇	—	4	8	no	—
958	C₂³×C₇	C₂⁵	1	4	yes	—
959	C₂³×C₇	C₂⁵	1	4	yes	—
960	C₂³×C₇	C₂⁵	1	4	yes	—
961	C₂³×C₇	C₂⁵	1	1	yes	characteristic
962	C₂³×C₇	C₂⁵	1	4	yes	—
963	C₂³×C₇	C₂⁵	1	1	yes	characteristic
964	C₂³×C₇	C₂⁵	1	1	yes	characteristic
965	C₇×Q₈	—	2	4	no	—
966	C₇×Q₈	—	2	4	no	—
967	C₇×Q₈	—	2	4	no	—
968	C₇×Q₈	—	2	4	no	—
969	C₇×Q₈	—	2	4	no	—
970	C₇×Q₈	—	2	4	no	—
971	C₇×Q₈	—	4	8	no	—
972	C₇×Q₈	—	4	4	no	—
973	C₇×Q₈	—	4	2	no	—
974	C₇×D₄	—	2	8	no	—
975	C₇×D₄	—	2	8	no	—
976	C₇×D₄	—	2	8	no	—
977	C₇×D₄	—	2	8	no	—
978	C₇×D₄	—	2	8	no	—
979	C₇×D₄	—	2	4	no	—
980	C₇×D₄	—	2	4	no	—
981	C₇×D₄	—	2	4	no	—
982	C₇×D₄	—	2	4	no	—
983	C₇×D₄	—	2	4	no	—
984	C₇×D₄	—	2	4	no	—
985	C₇×D₄	—	2	4	no	—
986	C₇×D₄	—	2	4	no	—
987	C₇×D₄	—	4	8	no	—
988	C₇×D₄	—	4	8	no	—
989	C₇×D₄	—	4	8	no	—
990	C₇×D₄	—	4	4	no	—
991	C₇×D₄	—	4	2	no	—
992	C₇×D₄	—	4	4	no	—
993	C₇×D₄	—	4	2	no	—
994	C₇×D₄	—	4	4	no	—
995	C₇×D₄	—	4	8	no	—
996	C₇×D₄	—	4	8	no	—
997	C₇×D₄	—	4	4	no	—
998	C₇×D₄	—	4	4	no	—
999	C₇×D₄	—	4	4	no	—
1000	C₇×D₄	—	4	2	no	—
1001	C₇×D₄	—	4	4	no	—
1002	C₇×D₄	—	4	8	no	—
1003	C₇×D₄	—	4	8	no	—
1004	C₂×C₄×C₇	—	2	2	no	—
1005	C₂×C₄×C₇	—	2	4	no	—
1006	C₂×C₄×C₇	—	2	2	no	—
1007	C₂×C₄×C₇	—	2	2	no	—
1008	C₂×C₄×C₇	—	2	2	no	—
1009	C₂×C₄×C₇	—	2	2	no	—
1010	C₂×C₄×C₇	—	2	2	no	—
1011	C₂×C₄×C₇	—	2	2	no	—
1012	C₂×C₄×C₇	—	2	8	no	—
1013	C₂×C₄×C₇	—	2	8	no	—
1014	C₂×C₄×C₇	—	2	8	no	—
1015	C₂×C₄×C₇	—	2	2	no	—
1016	C₂×C₄×C₇	—	2	2	no	—
1017	C₂×C₄×C₇	—	2	8	no	—
1018	C₂×C₄×C₇	—	2	2	no	—
1019	C₂×C₄×C₇	—	4	1	no	—
1020	C₂×C₄×C₇	—	4	4	no	—
1021	C₂×C₄×C₇	—	4	1	no	—
1022	C₂×C₄×C₇	—	4	1	no	—
1023	C₂×C₄×C₇	—	4	1	no	—
1024	C₂×C₄×C₇	—	4	1	no	—
1025	C₂×C₄×C₇	—	4	2	no	—
1026	C₂×C₄×C₇	—	4	1	no	—
1027	C₂×C₄×C₇	—	4	1	no	—
1028	C₂×C₄×C₇	—	4	4	no	—
1029	C₂×C₄×C₇	—	4	4	no	—
1030	C₂×C₄×C₇	—	4	4	no	—
1031	C₂×C₄×C₇	—	4	2	no	—
1032	C₂×C₄×C₇	—	4	8	no	—
1033	C₂×C₄×C₇	—	4	8	no	—
1034	C₂×C₄×C₇	—	4	8	no	—
1035	C₂×C₄×C₇	—	4	8	no	—
1036	C₂×C₄×C₇	—	4	4	no	—
1037	C₂×C₄×C₇	—	4	4	no	—
1038	C₂×C₄×C₇	—	4	8	no	—
1039	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
1040	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1041	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1042	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1043	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1044	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1045	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1046	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1047	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1048	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1049	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1050	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1051	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1052	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1053	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1054	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1055	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1056	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1057	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1058	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1059	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1060	2₋¹⁺⁴	—	4	8	no	—
1061	H(5,𝔽₂)	—	4	8	no	—
1062	C₂×#41	—	4	8	no	—
1063	C₂×#41	C₂³×C₇	1	2	yes	—
1064	C₂×#41	C₂³×C₇	1	2	yes	—
1065	C₂×#41	C₂³×C₇	1	2	yes	—
1066	C₂×#41	C₂³×C₇	1	2	yes	—
1067	C₂×#41	C₂³×C₇	1	2	yes	—
1068	C₂×#41	C₂³×C₇	1	4	yes	—
1069	C₂×#41	C₂³×C₇	1	4	yes	—
1070	C₂×#41	C₂³×C₇	1	4	yes	—
1071	C₂×#41	C₂³×C₇	1	4	yes	—
1072	C₂×#41	C₂³×C₇	1	4	yes	—
1073	C₂×#41	C₂³×C₇	1	2	yes	—
1074	C₂×#41	C₂³×C₇	1	2	yes	—
1075	C₂×#41	C₂³×C₇	1	4	yes	—
1076	C₂×#41	C₂³×C₇	1	4	yes	—
1077	C₂×#41	C₂³×C₇	1	8	yes	—
1078	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1079	C₂²×Q₈	C₂³×C₇	1	4	yes	—
1080	C₂²×Q₈	C₂³×C₇	1	2	yes	—
1081	C₂²×Q₈	C₂³×C₇	1	4	yes	—
1082	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1083	C₂²×D₄	C₂³×C₇	1	2	yes	—
1084	C₂²×D₄	C₂³×C₇	1	2	yes	—
1085	C₂²×D₄	C₂³×C₇	1	2	yes	—
1086	C₂²×D₄	C₂³×C₇	1	8	yes	—
1087	C₂²×D₄	C₂³×C₇	1	4	yes	—
1088	C₂²×D₄	C₂³×C₇	1	4	yes	—
1089	C₂²×D₄	C₂³×C₇	1	8	yes	—
1090	C₂²×D₄	C₂³×C₇	1	4	yes	—
1091	C₂²×D₄	C₂³×C₇	1	2	yes	—
1092	C₂²×D₄	C₂³×C₇	1	4	yes	—
1093	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1094	C₂³×C₄	C₂³×C₇	1	2	yes	—
1095	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1096	C₂³×C₄	C₂³×C₇	1	4	yes	—
1097	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1098	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1099	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1100	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1101	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1102	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1103	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1104	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1105	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1106	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1107	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1108	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
1109	#127	C₂³×C₇	1	1	yes	characteristic
1110	#127	C₂³×C₇	1	2	yes	—
1111	#127	C₂³×C₇	1	2	yes	—
1112	#127	C₂³×C₇	1	1	yes	characteristic
1113	#127	C₂³×C₇	1	2	yes	—
1114	#127	C₂³×C₇	1	1	yes	characteristic
1115	#127	C₂³×C₇	1	4	yes	—
1116	#127	C₂³×C₇	1	4	yes	—
1117	#127	C₂³×C₇	1	8	yes	—
1118	#126	C₂³×C₇	1	4	yes	—
1119	#126	C₂³×C₇	1	4	yes	—
1120	#126	C₂³×C₇	1	4	yes	—
1121	#126	C₂³×C₇	1	4	yes	—
1122	#126	C₂³×C₇	1	4	yes	—
1123	#126	C₂³×C₇	1	4	yes	—
1124	#126	C₂³×C₇	1	8	yes	—
1125	#126	C₂³×C₇	1	8	yes	—
1126	#126	C₂³×C₇	1	8	yes	—
1127	#126	C₂³×C₇	1	8	yes	—
1128	#126	C₂³×C₇	1	8	yes	—
1129	#126	C₂³×C₇	1	8	yes	—
1130	#126	C₂³×C₇	1	8	yes	—
1131	#125	C₂³×C₇	1	2	yes	—
1132	#125	C₂³×C₇	1	2	yes	—
1133	#125	C₂³×C₇	1	2	yes	—
1134	#125	C₂³×C₇	1	2	yes	—
1135	#125	C₂³×C₇	1	2	yes	—
1136	#125	C₂³×C₇	1	2	yes	—
1137	#125	C₂³×C₇	1	2	yes	—
1138	#125	C₂³×C₇	1	4	yes	—
1139	#125	C₂³×C₇	1	8	yes	—
1140	#125	C₂³×C₇	1	8	yes	—
1141	#125	C₂³×C₇	1	8	yes	—
1142	#124	C₂³×C₇	1	2	yes	—
1143	#124	C₂³×C₇	1	2	yes	—
1144	#124	C₂³×C₇	1	2	yes	—
1145	#124	C₂³×C₇	1	2	yes	—
1146	#124	C₂³×C₇	1	2	yes	—
1147	#124	C₂³×C₇	1	2	yes	—
1148	#124	C₂³×C₇	1	2	yes	—
1149	#124	C₂³×C₇	1	4	yes	—
1150	#124	C₂³×C₇	1	2	yes	—
1151	#124	C₂³×C₇	1	4	yes	—
1152	#124	C₂³×C₇	1	4	yes	—
1153	#124	C₂³×C₇	1	4	yes	—
1154	#124	C₂³×C₇	1	8	yes	—
1155	#124	C₂³×C₇	1	8	yes	—
1156	#124	C₂³×C₇	1	2	yes	—
1157	#124	C₂³×C₇	1	2	yes	—
1158	#124	C₂³×C₇	1	2	yes	—
1159	#124	C₂³×C₇	1	4	yes	—
1160	#124	C₂³×C₇	1	8	yes	—
1161	#124	C₂³×C₇	1	8	yes	—
1162	#124	C₂³×C₇	1	8	yes	—
1163	#124	C₂³×C₇	1	8	yes	—
1164	#123	C₂³×C₇	1	4	yes	—
1165	#123	C₂³×C₇	1	4	yes	—
1166	#123	C₂³×C₇	1	4	yes	—
1167	#123	C₂³×C₇	1	4	yes	—
1168	#123	C₂³×C₇	1	4	yes	—
1169	#123	C₂³×C₇	1	4	yes	—
1170	#123	C₂³×C₇	1	4	yes	—
1171	#123	C₂³×C₇	1	8	yes	—
1172	#123	C₂³×C₇	1	8	yes	—
1173	#123	C₂³×C₇	1	8	yes	—
1174	#123	C₂³×C₇	1	8	yes	—
1175	#123	C₂³×C₇	1	8	yes	—
1176	#123	C₂³×C₇	1	8	yes	—
1177	#123	C₂³×C₇	1	8	yes	—
1178	#123	C₂³×C₇	1	8	yes	—
1179	#123	C₂³×C₇	1	8	yes	—
1180	#123	C₂³×C₇	1	8	yes	—
1181	#123	C₂³×C₇	1	8	yes	—
1182	#123	C₂³×C₇	1	8	yes	—
1183	#123	C₂³×C₇	1	8	yes	—
1184	#123	C₂³×C₇	1	8	yes	—
1185	#123	C₂³×C₇	1	8	yes	—
1186	#123	C₂³×C₇	1	8	yes	—
1187	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1188	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1189	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1190	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1191	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1192	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1193	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1194	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1195	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1196	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1197	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1198	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1199	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1200	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1201	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1202	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1203	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1204	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1205	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1206	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1207	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1208	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1209	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1210	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1211	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1212	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1213	#121	C₂³×C₇	1	2	yes	—
1214	#121	C₂³×C₇	1	2	yes	—
1215	#121	C₂³×C₇	1	2	yes	—
1216	#121	C₂³×C₇	1	2	yes	—
1217	#121	C₂³×C₇	1	2	yes	—
1218	#121	C₂³×C₇	1	2	yes	—
1219	#121	C₂³×C₇	1	2	yes	—
1220	#121	C₂³×C₇	1	2	yes	—
1221	#121	C₂³×C₇	1	2	yes	—
1222	#121	C₂³×C₇	1	2	yes	—
1223	#121	C₂³×C₇	1	2	yes	—
1224	#121	C₂³×C₇	1	4	yes	—
1225	#121	C₂³×C₇	1	2	yes	—
1226	#121	C₂³×C₇	1	4	yes	—
1227	#121	C₂³×C₇	1	4	yes	—
1228	#121	C₂³×C₇	1	2	yes	—
1229	#121	C₂³×C₇	1	2	yes	—
1230	#121	C₂³×C₇	1	4	yes	—
1231	#121	C₂³×C₇	1	8	yes	—
1232	#121	C₂³×C₇	1	4	yes	—
1233	#121	C₂³×C₇	1	4	yes	—
1234	#121	C₂³×C₇	1	8	yes	—
1235	#121	C₂³×C₇	1	8	yes	—
1236	#121	C₂³×C₇	1	8	yes	—
1237	#121	C₂³×C₇	1	4	yes	—
1238	#121	C₂³×C₇	1	4	yes	—
1239	#121	C₂³×C₇	1	2	yes	—
1240	#121	C₂³×C₇	1	2	yes	—
1241	#121	C₂³×C₇	1	2	yes	—
1242	#121	C₂³×C₇	1	2	yes	—
1243	#121	C₂³×C₇	1	4	yes	—
1244	#121	C₂³×C₇	1	4	yes	—
1245	#121	C₂³×C₇	1	4	yes	—
1246	#121	C₂³×C₇	1	4	yes	—
1247	#121	C₂³×C₇	1	4	yes	—
1248	#121	C₂³×C₇	1	8	yes	—
1249	#121	C₂³×C₇	1	8	yes	—
1250	#121	C₂³×C₇	1	8	yes	—
1251	#121	C₂³×C₇	1	8	yes	—
1252	#121	C₂³×C₇	1	8	yes	—
1253	#121	C₂³×C₇	1	8	yes	—
1254	#121	C₂³×C₇	1	8	yes	—
1255	#121	C₂³×C₇	1	8	yes	—
1256	#121	C₂³×C₇	1	8	yes	—
1257	#121	C₂³×C₇	1	8	yes	—
1258	#121	C₂³×C₇	1	8	yes	—
1259	#121	C₂³×C₇	1	8	yes	—
1260	#121	C₂³×C₇	1	8	yes	—
1261	#121	C₂³×C₇	1	8	yes	—
1262	#121	C₂³×C₇	1	8	yes	—
1263	#121	C₂³×C₇	1	8	yes	—
1264	#120	C₂³×C₇	1	4	yes	—
1265	#120	C₂³×C₇	1	8	yes	—
1266	#120	C₂³×C₇	1	8	yes	—
1267	#120	C₂³×C₇	1	8	yes	—
1268	#120	C₂³×C₇	1	8	yes	—
1269	#120	C₂³×C₇	1	8	yes	—
1270	#120	C₂³×C₇	1	8	yes	—
1271	#120	C₂³×C₇	1	8	yes	—
1272	#120	C₂³×C₇	1	8	yes	—
1273	#120	C₂³×C₇	1	8	yes	—
1274	C₄×Q₈	C₂³×C₇	1	2	yes	—
1275	C₄×Q₈	C₂³×C₇	1	2	yes	—
1276	C₄×Q₈	C₂³×C₇	1	2	yes	—
1277	C₄×Q₈	C₂³×C₇	1	2	yes	—
1278	C₄×Q₈	C₂³×C₇	1	2	yes	—
1279	C₄×Q₈	C₂³×C₇	1	2	yes	—
1280	C₄×Q₈	C₂³×C₇	1	2	yes	—
1281	C₄×Q₈	C₂³×C₇	1	2	yes	—
1282	C₄×Q₈	C₂³×C₇	1	2	yes	—
1283	C₄×Q₈	C₂³×C₇	1	2	yes	—
1284	C₄×Q₈	C₂³×C₇	1	4	yes	—
1285	C₄×Q₈	C₂³×C₇	1	4	yes	—
1286	C₄×Q₈	C₂³×C₇	1	4	yes	—
1287	C₄×D₄	C₂³×C₇	1	4	yes	—
1288	C₄×D₄	C₂³×C₇	1	2	yes	—
1289	C₄×D₄	C₂³×C₇	1	2	yes	—
1290	C₄×D₄	C₂³×C₇	1	4	yes	—
1291	C₄×D₄	C₂³×C₇	1	4	yes	—
1292	C₄×D₄	C₂³×C₇	1	2	yes	—
1293	C₄×D₄	C₂³×C₇	1	2	yes	—
1294	C₄×D₄	C₂³×C₇	1	2	yes	—
1295	C₄×D₄	C₂³×C₇	1	2	yes	—
1296	C₄×D₄	C₂³×C₇	1	4	yes	—
1297	C₄×D₄	C₂³×C₇	1	2	yes	—
1298	C₄×D₄	C₂³×C₇	1	2	yes	—
1299	C₄×D₄	C₂³×C₇	1	4	yes	—
1300	C₄×D₄	C₂³×C₇	1	4	yes	—
1301	C₄×D₄	C₂³×C₇	1	4	yes	—
1302	C₄×D₄	C₂³×C₇	1	2	yes	—
1303	C₄×D₄	C₂³×C₇	1	2	yes	—
1304	C₄×D₄	C₂³×C₇	1	2	yes	—
1305	C₄×D₄	C₂³×C₇	1	4	yes	—
1306	C₄×D₄	C₂³×C₇	1	2	yes	—
1307	C₄×D₄	C₂³×C₇	1	4	yes	—
1308	C₄×D₄	C₂³×C₇	1	2	yes	—
1309	C₄×D₄	C₂³×C₇	1	4	yes	—
1310	C₄×D₄	C₂³×C₇	1	4	yes	—
1311	C₄×D₄	C₂³×C₇	1	4	yes	—
1312	C₄×D₄	C₂³×C₇	1	4	yes	—
1313	C₄×D₄	C₂³×C₇	1	4	yes	—
1314	C₄×D₄	C₂³×C₇	1	2	yes	—
1315	C₄×D₄	C₂³×C₇	1	2	yes	—
1316	C₄×D₄	C₂³×C₇	1	2	yes	—
1317	C₄×D₄	C₂³×C₇	1	2	yes	—
1318	C₄×D₄	C₂³×C₇	1	2	yes	—
1319	C₄×D₄	C₂³×C₇	1	8	yes	—
1320	C₄×D₄	C₂³×C₇	1	8	yes	—
1321	C₄×D₄	C₂³×C₇	1	8	yes	—
1322	C₄×D₄	C₂³×C₇	1	8	yes	—
1323	C₄×D₄	C₂³×C₇	1	8	yes	—
1324	C₄×D₄	C₂³×C₇	1	8	yes	—
1325	C₄×D₄	C₂³×C₇	1	4	yes	—
1326	C₄×D₄	C₂³×C₇	1	8	yes	—
1327	C₄×D₄	C₂³×C₇	1	8	yes	—
1328	C₄×D₄	C₂³×C₇	1	4	yes	—
1329	C₄×D₄	C₂³×C₇	1	8	yes	—
1330	C₄×D₄	C₂³×C₇	1	8	yes	—
1331	C₄×D₄	C₂³×C₇	1	8	yes	—
1332	C₄×D₄	C₂³×C₇	1	4	yes	—
1333	C₄×D₄	C₂³×C₇	1	4	yes	—
1334	C₄×D₄	C₂³×C₇	1	8	yes	—
1335	C₄×D₄	C₂³×C₇	1	4	yes	—
1336	#117	C₂³×C₇	1	4	yes	—
1337	#117	C₂³×C₇	1	4	yes	—
1338	#117	C₂³×C₇	1	4	yes	—
1339	#117	C₂³×C₇	1	4	yes	—
1340	#117	C₂³×C₇	1	2	yes	—
1341	#117	C₂³×C₇	1	2	yes	—
1342	#117	C₂³×C₇	1	2	yes	—
1343	#117	C₂³×C₇	1	4	yes	—
1344	#117	C₂³×C₇	1	4	yes	—
1345	#117	C₂³×C₇	1	4	yes	—
1346	#117	C₂³×C₇	1	4	yes	—
1347	#117	C₂³×C₇	1	8	yes	—
1348	#117	C₂³×C₇	1	8	yes	—
1349	#117	C₂³×C₇	1	4	yes	—
1350	#117	C₂³×C₇	1	4	yes	—
1351	#117	C₂³×C₇	1	8	yes	—
1352	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1353	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1354	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1355	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1356	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1357	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1358	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1359	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1360	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1361	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1362	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1363	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1364	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1365	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1366	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1367	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1368	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1369	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1370	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1371	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1372	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1373	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1374	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1375	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1376	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1377	C₂×C₄²	C₂³×C₇	1	2	yes	—
1378	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1379	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1380	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1381	C₂×C₄²	C₂³×C₇	1	4	yes	—
1382	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1383	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1384	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1385	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1386	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1387	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1388	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1389	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1390	C₂²×C₇	—	2	1	no	—
1391	C₂²×C₇	—	2	1	no	—
1392	C₂²×C₇	—	2	1	no	—
1393	C₂²×C₇	—	2	1	no	—
1394	C₂²×C₇	—	2	1	no	—
1395	C₂²×C₇	—	2	4	no	—
1396	C₂²×C₇	—	2	4	no	—
1397	C₂²×C₇	—	2	4	no	—
1398	C₂²×C₇	—	2	4	no	—
1399	C₂²×C₇	—	2	1	no	—
1400	C₂²×C₇	—	2	4	no	—
1401	C₂²×C₇	—	2	4	no	—
1402	C₂²×C₇	—	2	1	no	—
1403	C₂²×C₇	—	2	4	no	—
1404	C₂²×C₇	—	2	4	no	—
1405	C₂²×C₇	—	2	4	no	—
1406	C₂²×C₇	—	2	4	no	—
1407	C₂²×C₇	—	2	4	no	—
1408	C₂²×C₇	—	2	4	no	—
1409	C₂²×C₇	—	4	4	no	—
1410	C₂²×C₇	—	8	8	no	—
1411	C₂²×C₇	—	8	4	no	—
1412	C₂²×C₇	—	16	8	no	—
1413	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1414	C₂²×C₇	#585	1	2	yes	—
1415	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1416	C₄×C₇	—	2	1	no	—
1417	C₄×C₇	—	2	1	no	—
1418	C₄×C₇	—	2	4	no	—
1419	C₄×C₇	—	2	4	no	—
1420	C₄×C₇	—	2	4	no	—
1421	C₄×C₇	—	2	4	no	—
1422	C₄×C₇	—	2	1	no	—
1423	C₄×C₇	—	2	1	no	—
1424	C₄×C₇	—	2	1	no	—
1425	C₄×C₇	—	2	4	no	—
1426	C₄×C₇	—	2	1	no	—
1427	C₄×C₇	—	2	1	no	—
1428	C₄×C₇	—	2	1	no	—
1429	C₄×C₇	—	2	1	no	—
1430	C₄×C₇	—	2	4	no	—
1431	C₄×C₇	—	2	4	no	—
1432	C₄×C₇	—	2	4	no	—
1433	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1434	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1435	C₄×C₇	#585	1	2	yes	—
1436	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1437	C₂⁴	C₂⁴×C₇	1	2	yes	—
1438	C₂⁴	C₂⁴×C₇	1	4	yes	—
1439	C₂⁴	C₂⁴×C₇	1	8	yes	—
1440	#41	—	2	8	no	—
1441	#41	—	2	8	no	—
1442	#41	—	2	8	no	—
1443	#41	—	4	8	no	—
1444	#41	—	4	8	no	—
1445	#41	—	4	16	no	—
1446	#41	—	4	4	no	—
1447	#41	—	4	4	no	—
1448	#41	—	4	4	no	—
1449	#41	—	4	8	no	—
1450	#41	—	4	8	no	—
1451	#41	—	4	8	no	—
1452	#41	—	4	8	no	—
1453	#41	—	4	8	no	—
1454	#41	—	4	4	no	—
1455	C₂×Q₈	—	2	4	no	—
1456	C₂×Q₈	—	4	4	no	—
1457	C₂×Q₈	—	4	8	no	—
1458	C₂×Q₈	—	4	8	no	—
1459	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1460	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1461	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1462	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1463	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1464	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1465	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1466	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1467	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1468	C₂×D₄	—	2	4	no	—
1469	C₂×D₄	—	4	4	no	—
1470	C₂×D₄	—	4	4	no	—
1471	C₂×D₄	—	4	8	no	—
1472	C₂×D₄	—	4	8	no	—
1473	C₂×D₄	—	4	8	no	—
1474	C₂×D₄	—	4	4	no	—
1475	C₂×D₄	—	4	8	no	—
1476	C₂×D₄	—	4	4	no	—
1477	C₂×D₄	—	4	16	no	—
1478	C₂×D₄	—	4	16	no	—
1479	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1480	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1481	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1482	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1483	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1484	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1485	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1486	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1487	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1488	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1489	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1490	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1491	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1492	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1493	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1494	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1495	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1496	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1497	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1498	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1499	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1500	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1501	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1502	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1503	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1504	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1505	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1506	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1507	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1508	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1509	C₂²×C₄	—	2	4	no	—
1510	C₂²×C₄	—	4	2	no	—
1511	C₂²×C₄	—	4	4	no	—
1512	C₂²×C₄	—	4	8	no	—
1513	C₂²×C₄	—	4	2	no	—
1514	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1515	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1516	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1517	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1518	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1519	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1520	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1521	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1522	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1523	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1524	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1525	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1526	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1527	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1528	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1529	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1530	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1531	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1532	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1533	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1534	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1535	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1536	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1537	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1538	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1539	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1540	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1541	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1542	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1543	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1544	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1545	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1546	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1547	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1548	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1549	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1550	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1551	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1552	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1553	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1554	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1555	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1556	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1557	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1558	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1559	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1560	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1561	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1562	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1563	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1564	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1565	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1566	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1567	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1568	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1569	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1570	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1571	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1572	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1573	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1574	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1575	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1576	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1577	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1578	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1579	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1580	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1581	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1582	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1583	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1584	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1585	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1586	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1587	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1588	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1589	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1590	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1591	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1592	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1593	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1594	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1595	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1596	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1597	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1598	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1599	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1600	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1601	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1602	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1603	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1604	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1605	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1606	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1607	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1608	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1609	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1610	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1611	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1612	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1613	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1614	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1615	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1616	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1617	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1618	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1619	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1620	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1621	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1622	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1623	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1624	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1625	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1626	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1627	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1628	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1629	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1630	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1631	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1632	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1633	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1634	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1635	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1636	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1637	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1638	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1639	C₄²	C₂⁴×C₇	1	4	yes	—
1640	C₄²	C₂⁴×C₇	1	4	yes	—
1641	C₄²	C₂⁴×C₇	1	4	yes	—
1642	C₄²	C₂⁴×C₇	1	4	yes	—
1643	C₄²	C₂⁴×C₇	1	4	yes	—
1644	C₄²	C₂⁴×C₇	1	8	yes	—
1645	C₄²	C₂⁴×C₇	1	8	yes	—
1646	C₂×C₇	—	2	2	no	—
1647	C₂×C₇	—	2	2	no	—
1648	C₂×C₇	—	4	1	no	—
1649	C₂×C₇	—	4	4	no	—
1650	C₂×C₇	—	4	4	no	—
1651	C₂×C₇	—	4	4	no	—
1652	C₂×C₇	—	4	4	no	—
1653	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1654	C₂×C₇	C₂×#585	1	1	yes	characteristic
1655	C₂×C₇	C₂×#585	1	1	yes	characteristic
1656	C₂³	—	2	2	no	—
1657	C₂³	—	2	2	no	—
1658	C₂³	—	2	4	no	—
1659	C₂³	—	2	8	no	—
1660	C₂³	—	4	1	no	—
1661	C₂³	—	4	4	no	—
1662	C₂³	—	4	2	no	—
1663	C₂³	—	4	4	no	—
1664	C₂³	—	4	2	no	—
1665	C₂³	—	4	8	no	—
1666	C₂³	—	4	8	no	—
1667	C₂³	—	4	8	no	—
1668	C₂³	C₂⁵×C₇	1	4	yes	—
1669	C₂³	C₂⁵×C₇	1	4	yes	—
1670	C₂³	C₂⁵×C₇	1	4	yes	—
1671	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1672	C₂³	C₂⁵×C₇	1	4	yes	—
1673	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1674	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1675	Q₈	—	2	4	no	—
1676	Q₈	—	2	4	no	—
1677	Q₈	—	2	4	no	—
1678	Q₈	—	2	4	no	—
1679	Q₈	—	2	4	no	—
1680	Q₈	—	2	4	no	—
1681	Q₈	—	4	8	no	—
1682	Q₈	—	4	4	no	—
1683	Q₈	—	4	2	no	—
1684	D₄	—	2	8	no	—
1685	D₄	—	2	8	no	—
1686	D₄	—	2	8	no	—
1687	D₄	—	2	8	no	—
1688	D₄	—	2	8	no	—
1689	D₄	—	2	4	no	—
1690	D₄	—	2	4	no	—
1691	D₄	—	2	4	no	—
1692	D₄	—	2	4	no	—
1693	D₄	—	2	4	no	—
1694	D₄	—	2	4	no	—
1695	D₄	—	2	4	no	—
1696	D₄	—	2	4	no	—
1697	D₄	—	4	8	no	—
1698	D₄	—	4	8	no	—
1699	D₄	—	4	8	no	—
1700	D₄	—	4	4	no	—
1701	D₄	—	4	2	no	—
1702	D₄	—	4	4	no	—
1703	D₄	—	4	2	no	—
1704	D₄	—	4	4	no	—
1705	D₄	—	4	8	no	—
1706	D₄	—	4	8	no	—
1707	D₄	—	4	4	no	—
1708	D₄	—	4	4	no	—
1709	D₄	—	4	4	no	—
1710	D₄	—	4	2	no	—
1711	D₄	—	4	4	no	—
1712	D₄	—	4	8	no	—
1713	D₄	—	4	8	no	—
1714	C₂×C₄	—	2	2	no	—
1715	C₂×C₄	—	2	4	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	2	no	—
1722	C₂×C₄	—	2	8	no	—
1723	C₂×C₄	—	2	8	no	—
1724	C₂×C₄	—	2	8	no	—
1725	C₂×C₄	—	2	2	no	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	8	no	—
1728	C₂×C₄	—	2	2	no	—
1729	C₂×C₄	—	4	1	no	—
1730	C₂×C₄	—	4	4	no	—
1731	C₂×C₄	—	4	1	no	—
1732	C₂×C₄	—	4	1	no	—
1733	C₂×C₄	—	4	1	no	—
1734	C₂×C₄	—	4	1	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	4	1	no	—
1738	C₂×C₄	—	4	4	no	—
1739	C₂×C₄	—	4	4	no	—
1740	C₂×C₄	—	4	4	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	8	no	—
1743	C₂×C₄	—	4	8	no	—
1744	C₂×C₄	—	4	8	no	—
1745	C₂×C₄	—	4	8	no	—
1746	C₂×C₄	—	4	4	no	—
1747	C₂×C₄	—	4	4	no	—
1748	C₂×C₄	—	4	8	no	—
1749	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1750	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1751	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1752	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1753	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1754	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1755	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1756	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1757	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1758	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1759	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1760	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1761	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1762	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1763	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1764	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1765	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1766	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1767	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1768	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1769	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1770	C₇	#62830	1	1	yes	characteristic, direct product factor, Sylow
1771	C₂²	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	4	no	—
1777	C₂²	—	2	4	no	—
1778	C₂²	—	2	4	no	—
1779	C₂²	—	2	4	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	4	no	—
1782	C₂²	—	2	4	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	4	no	—
1785	C₂²	—	2	4	no	—
1786	C₂²	—	2	4	no	—
1787	C₂²	—	2	4	no	—
1788	C₂²	—	2	4	no	—
1789	C₂²	—	2	4	no	—
1790	C₂²	—	4	4	no	—
1791	C₂²	—	8	8	no	—
1792	C₂²	—	8	4	no	—
1793	C₂²	—	16	8	no	—
1794	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1795	C₂²	C₇×#585	1	2	yes	—
1796	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	4	no	—
1800	C₄	—	2	4	no	—
1801	C₄	—	2	4	no	—
1802	C₄	—	2	4	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	4	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	4	no	—
1812	C₄	—	2	4	no	—
1813	C₄	—	2	4	no	—
1814	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1815	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1816	C₄	C₇×#585	1	2	yes	—
1817	C₂	—	2	2	no	—
1818	C₂	—	2	2	no	—
1819	C₂	—	4	1	no	—
1820	C₂	—	4	4	no	—
1821	C₂	—	4	4	no	—
1822	C₂	—	4	4	no	—
1823	C₂	—	4	4	no	—
1824	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1825	C₂	C₂×C₇×#585	1	1	yes	characteristic
1826	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3562	C₂	semidirect
2. C₇×#3560	C₂	semidirect
3. C₇×#3552	C₂	semidirect
4. C₇×#3551	C₂	semidirect
5. C₇×#3547	C₂	semidirect
6. C₇×#3546	C₂	semidirect
7. C₇×#3543	C₂	semidirect
8. C₇×#3534	C₂	semidirect
9. C₇×#3520	C₂	semidirect
10. C₇×#3519	C₂	semidirect
11. C₇×#3519	C₂	semidirect
12. C₇×#3517	C₂	semidirect
13. C₇×#3514	C₂	semidirect
14. C₇×#3514	C₂	semidirect
15. C₇×#3512	C₂	semidirect
16. C₇×#3507	C₂	semidirect
17. C₇×#3506	C₂	semidirect
18. C₇×#3505	C₂	semidirect
19. C₇×#3500	C₂	semidirect
20. C₇×#3497	C₂	semidirect
21. C₇×#3496	C₂	semidirect
22. C₇×#3494	C₂	semidirect
23. C₇×#3489	C₂	semidirect
24. C₇×#3488	C₂	semidirect
25. C₇×#3444	C₂	semidirect
26. C₂×C₇×#532	C₂	semidirect
27. C₂×C₇×#529	C₂	semidirect
28. C₂×C₇×2₋¹⁺⁴	C₂²	semidirect
29. C₂×C₇×H(5,𝔽₂)	C₂²	semidirect
30. C₂²×C₇×#41	C₂²	semidirect
31. C₇×#563	C₂²	semidirect
32. C₇×#562	C₂²	semidirect
33. C₇×#560	C₂²	semidirect
34. C₇×#560	C₂²	semidirect
35. C₇×#559	C₂²	semidirect
36. C₇×#559	C₂²	semidirect
37. C₇×#557	C₂²	semidirect
38. C₇×#556	C₂²	semidirect
39. C₇×#556	C₂²	semidirect
40. C₇×#556	C₂²	semidirect
41. C₇×#555	C₂²	semidirect
42. C₇×#555	C₂²	semidirect
43. C₇×#555	C₂²	semidirect
44. C₇×#554	C₂²	semidirect
45. C₇×#554	C₂²	semidirect
46. C₇×#553	C₂²	semidirect
47. C₇×#553	C₂²	semidirect
48. C₇×#553	C₂²	semidirect
49. C₇×#553	C₂²	semidirect
50. C₇×#553	C₂²	semidirect
51. C₇×#553	C₂²	semidirect
52. C₇×#553	C₂²	semidirect
53. C₇×#553	C₂²	semidirect
54. C₇×#553	C₂²	semidirect
55. C₇×#552	C₂²	semidirect
56. C₇×#552	C₂²	semidirect
57. C₇×#552	C₂²	semidirect
58. C₇×#551	C₂²	semidirect
59. C₇×#551	C₂²	semidirect
60. C₇×#551	C₂²	semidirect
61. C₇×#551	C₂²	semidirect
62. C₇×#550	C₂²	semidirect
63. C₇×#550	C₂²	semidirect
64. C₇×#550	C₂²	semidirect
65. C₇×#550	C₂²	semidirect
66. C₇×#550	C₂²	semidirect
67. C₇×D₄×Q₈	C₂²	semidirect
68. C₇×D₄×Q₈	C₂²	semidirect
69. C₇×D₄×Q₈	C₂²	semidirect
70. C₇×#548	C₂²	semidirect
71. C₇×#548	C₂²	semidirect
72. C₇×#548	C₂²	semidirect
73. C₇×#548	C₂²	semidirect
74. C₇×#548	C₂²	semidirect
75. C₇×#548	C₂²	semidirect
76. C₇×#547	C₂²	semidirect
77. C₇×#547	C₂²	semidirect
78. C₇×#547	C₂²	semidirect
79. C₇×#547	C₂²	semidirect
80. C₇×#547	C₂²	semidirect
81. C₇×#546	C₂²	semidirect
82. C₇×#546	C₂²	semidirect
83. C₇×#546	C₂²	semidirect
84. C₇×#546	C₂²	semidirect
85. C₇×#546	C₂²	semidirect
86. C₇×#546	C₂²	semidirect
87. C₇×#546	C₂²	semidirect
88. C₇×#546	C₂²	semidirect
89. C₇×#546	C₂²	semidirect
90. C₇×#546	C₂²	semidirect
91. C₇×#546	C₂²	semidirect
92. C₇×#546	C₂²	semidirect
93. C₇×#546	C₂²	semidirect
94. C₇×D₄²	C₂²	semidirect
95. C₇×D₄²	C₂²	semidirect
96. C₇×D₄²	C₂²	semidirect
97. C₇×D₄²	C₂²	semidirect
98. C₇×D₄²	C₂²	semidirect
99. C₇×#544	C₂²	semidirect
100. C₇×#542	C₂²	semidirect
101. C₇×#542	C₂²	semidirect
102. C₇×#542	C₂²	semidirect
103. C₇×#541	C₂²	semidirect
104. C₇×#540	C₂²	semidirect
105. C₇×#540	C₂²	semidirect
106. C₇×#540	C₂²	semidirect
107. C₇×#540	C₂²	semidirect
108. C₇×#540	C₂²	semidirect
109. C₇×#539	C₂²	semidirect
110. C₇×#539	C₂²	semidirect
111. C₇×#539	C₂²	semidirect
112. C₇×#538	C₂²	semidirect
113. C₇×#538	C₂²	semidirect
114. C₇×#538	C₂²	semidirect
115. C₇×#538	C₂²	semidirect
116. C₇×#538	C₂²	semidirect
117. C₇×#538	C₂²	semidirect
118. C₇×#537	C₂²	semidirect
119. C₇×#537	C₂²	semidirect
120. C₇×#537	C₂²	semidirect
121. C₇×#537	C₂²	semidirect
122. C₇×#537	C₂²	semidirect
123. C₇×#536	C₂²	semidirect
124. C₇×#536	C₂²	semidirect
125. C₇×#536	C₂²	semidirect
126. C₇×#535	C₂²	semidirect
127. C₇×#535	C₂²	semidirect
128. C₇×#535	C₂²	semidirect
129. C₇×#535	C₂²	semidirect
130. C₇×#534	C₂²	semidirect
131. C₇×#534	C₂²	semidirect
132. C₇×#533	C₂²	semidirect
133. C₇×#533	C₂²	semidirect
134. C₇×#533	C₂²	semidirect
136. C₇×#532	C₂²	semidirect
137. C₇×#532	C₂²	semidirect
138. C₇×#532	C₂²	semidirect
139. C₇×#532	C₂²	semidirect
140. C₇×#532	C₂²	semidirect
141. C₇×#532	C₂²	semidirect
142. C₇×#532	C₂²	semidirect
143. C₇×#532	C₂²	semidirect
144. C₇×#532	C₂²	semidirect
145. C₇×#532	C₂²	semidirect
146. C₇×#532	C₂²	semidirect
147. C₇×#532	C₂²	semidirect
148. C₇×#532	C₂²	semidirect
149. C₇×#532	C₂²	semidirect
150. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
151. C₂×C₇×#127	C₂²	semidirect
152. C₇×#529	C₂²	semidirect
153. C₇×#529	C₂²	semidirect
154. C₇×#529	C₂²	semidirect
155. C₇×#529	C₂²	semidirect
156. C₇×#529	C₂²	semidirect
157. C₇×#529	C₂²	semidirect
158. C₇×#529	C₂²	semidirect
159. C₇×#529	C₂²	semidirect
160. C₇×#529	C₂²	semidirect
161. C₇×#529	C₂²	semidirect
162. C₇×#529	C₂²	semidirect
163. C₇×#529	C₂²	semidirect
164. C₇×#529	C₂²	semidirect
165. C₇×#529	C₂²	semidirect
166. C₇×#529	C₂²	semidirect
167. C₇×#529	C₂²	semidirect
168. C₇×#529	C₂²	semidirect
169. C₂×C₇×#126	C₂²	semidirect
170. C₂×C₇×#125	C₂²	semidirect
171. C₂×C₇×#124	C₂²	semidirect
172. C₂×C₇×#124	C₂²	semidirect
173. C₂×C₇×#124	C₂²	semidirect
174. C₇×#525	C₂²	semidirect
175. C₇×#525	C₂²	semidirect
176. C₇×#525	C₂²	semidirect
177. C₇×#525	C₂²	semidirect
178. C₇×#525	C₂²	semidirect
179. C₇×#525	C₂²	semidirect
180. C₂×C₇×#123	C₂²	semidirect
181. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
182. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
184. C₂×C₇×#121	C₂²	semidirect
185. C₂×C₇×#121	C₂²	semidirect
186. C₂×C₇×#121	C₂²	semidirect
187. C₂×C₇×#121	C₂²	semidirect
188. C₇×#520	C₂²	semidirect
189. C₇×#520	C₂²	semidirect
190. C₇×#520	C₂²	semidirect
191. C₇×#518	C₂²	semidirect
192. C₇×#518	C₂²	semidirect
193. C₄×C₇×#41	C₂²	semidirect
194. C₄×C₇×#41	C₂²	semidirect
195. C₄×C₇×#41	C₂²	semidirect
196. C₂×C₄×C₇×Q₈	C₂²	semidirect
197. C₂×C₄×C₇×D₄	C₂²	semidirect
198. C₂×C₄×C₇×D₄	C₂²	semidirect
199. C₂×C₄×C₇×D₄	C₂²	semidirect
200. C₂×C₄×C₇×D₄	C₂²	semidirect
201. C₂×C₇×#117	C₂²	semidirect
202. C₂²×C₄²×C₇	C₂²	semidirect
203. #62830	C₇	direct (N × H)
534. #3562	C₂×C₇	semidirect
535. #3560	C₂×C₇	semidirect
536. #3552	C₂×C₇	semidirect
537. #3551	C₂×C₇	semidirect
538. #3547	C₂×C₇	semidirect
539. #3546	C₂×C₇	semidirect
540. #3543	C₂×C₇	semidirect
541. #3534	C₂×C₇	semidirect
542. #3520	C₂×C₇	semidirect
543. #3519	C₂×C₇	semidirect
544. #3519	C₂×C₇	semidirect
545. #3517	C₂×C₇	semidirect
546. #3514	C₂×C₇	semidirect
547. #3514	C₂×C₇	semidirect
548. #3512	C₂×C₇	semidirect
549. #3507	C₂×C₇	semidirect
550. #3506	C₂×C₇	semidirect
551. #3505	C₂×C₇	semidirect
552. #3500	C₂×C₇	semidirect
553. #3497	C₂×C₇	semidirect
554. #3496	C₂×C₇	semidirect
555. #3494	C₂×C₇	semidirect
556. #3489	C₂×C₇	semidirect
557. #3488	C₂×C₇	semidirect
558. #3444	C₂×C₇	semidirect
559. C₂×#532	C₂×C₇	semidirect
560. C₂×#529	C₂×C₇	semidirect
771. C₂×2₋¹⁺⁴	C₂²×C₇	semidirect
772. C₂×H(5,𝔽₂)	C₂²×C₇	semidirect
773. C₂²×#41	C₂²×C₇	semidirect
774. #563	C₂²×C₇	semidirect
775. #562	C₂²×C₇	semidirect
776. #560	C₂²×C₇	semidirect
777. #560	C₂²×C₇	semidirect
778. #559	C₂²×C₇	semidirect
779. #559	C₂²×C₇	semidirect
780. #557	C₂²×C₇	semidirect
781. #556	C₂²×C₇	semidirect
782. #556	C₂²×C₇	semidirect
783. #556	C₂²×C₇	semidirect
784. #555	C₂²×C₇	semidirect
785. #555	C₂²×C₇	semidirect
786. #555	C₂²×C₇	semidirect
787. #554	C₂²×C₇	semidirect
788. #554	C₂²×C₇	semidirect
789. #553	C₂²×C₇	semidirect
790. #553	C₂²×C₇	semidirect
791. #553	C₂²×C₇	semidirect
792. #553	C₂²×C₇	semidirect
793. #553	C₂²×C₇	semidirect
794. #553	C₂²×C₇	semidirect
795. #553	C₂²×C₇	semidirect
796. #553	C₂²×C₇	semidirect
797. #553	C₂²×C₇	semidirect
798. #552	C₂²×C₇	semidirect
799. #552	C₂²×C₇	semidirect
800. #552	C₂²×C₇	semidirect
801. #551	C₂²×C₇	semidirect
802. #551	C₂²×C₇	semidirect
803. #551	C₂²×C₇	semidirect
804. #551	C₂²×C₇	semidirect
805. #550	C₂²×C₇	semidirect
806. #550	C₂²×C₇	semidirect
807. #550	C₂²×C₇	semidirect
808. #550	C₂²×C₇	semidirect
809. #550	C₂²×C₇	semidirect
810. D₄×Q₈	C₂²×C₇	semidirect
811. D₄×Q₈	C₂²×C₇	semidirect
812. D₄×Q₈	C₂²×C₇	semidirect
813. #548	C₂²×C₇	semidirect
814. #548	C₂²×C₇	semidirect
815. #548	C₂²×C₇	semidirect
816. #548	C₂²×C₇	semidirect
817. #548	C₂²×C₇	semidirect
818. #548	C₂²×C₇	semidirect
819. #547	C₂²×C₇	semidirect
820. #547	C₂²×C₇	semidirect
821. #547	C₂²×C₇	semidirect
822. #547	C₂²×C₇	semidirect
823. #547	C₂²×C₇	semidirect
824. #546	C₂²×C₇	semidirect
825. #546	C₂²×C₇	semidirect
826. #546	C₂²×C₇	semidirect
827. #546	C₂²×C₇	semidirect
828. #546	C₂²×C₇	semidirect
829. #546	C₂²×C₇	semidirect
830. #546	C₂²×C₇	semidirect
831. #546	C₂²×C₇	semidirect
832. #546	C₂²×C₇	semidirect
833. #546	C₂²×C₇	semidirect
834. #546	C₂²×C₇	semidirect
835. #546	C₂²×C₇	semidirect
836. #546	C₂²×C₇	semidirect
837. D₄²	C₂²×C₇	semidirect
838. D₄²	C₂²×C₇	semidirect
839. D₄²	C₂²×C₇	semidirect
840. D₄²	C₂²×C₇	semidirect
841. D₄²	C₂²×C₇	semidirect
842. #544	C₂²×C₇	semidirect
843. #542	C₂²×C₇	semidirect
844. #542	C₂²×C₇	semidirect
845. #542	C₂²×C₇	semidirect
846. #541	C₂²×C₇	semidirect
847. #540	C₂²×C₇	semidirect
848. #540	C₂²×C₇	semidirect
849. #540	C₂²×C₇	semidirect
850. #540	C₂²×C₇	semidirect
851. #540	C₂²×C₇	semidirect
852. #539	C₂²×C₇	semidirect
853. #539	C₂²×C₇	semidirect
854. #539	C₂²×C₇	semidirect
855. #538	C₂²×C₇	semidirect
856. #538	C₂²×C₇	semidirect
857. #538	C₂²×C₇	semidirect
858. #538	C₂²×C₇	semidirect
859. #538	C₂²×C₇	semidirect
860. #538	C₂²×C₇	semidirect
861. #537	C₂²×C₇	semidirect
862. #537	C₂²×C₇	semidirect
863. #537	C₂²×C₇	semidirect
864. #537	C₂²×C₇	semidirect
865. #537	C₂²×C₇	semidirect
866. #536	C₂²×C₇	semidirect
867. #536	C₂²×C₇	semidirect
868. #536	C₂²×C₇	semidirect
869. #535	C₂²×C₇	semidirect
870. #535	C₂²×C₇	semidirect
871. #535	C₂²×C₇	semidirect
872. #535	C₂²×C₇	semidirect
873. #534	C₂²×C₇	semidirect
874. #534	C₂²×C₇	semidirect
875. #533	C₂²×C₇	semidirect
876. #533	C₂²×C₇	semidirect
877. #533	C₂²×C₇	semidirect
879. #532	C₂²×C₇	semidirect
880. #532	C₂²×C₇	semidirect
881. #532	C₂²×C₇	semidirect
882. #532	C₂²×C₇	semidirect
883. #532	C₂²×C₇	semidirect
884. #532	C₂²×C₇	semidirect
885. #532	C₂²×C₇	semidirect
886. #532	C₂²×C₇	semidirect
887. #532	C₂²×C₇	semidirect
888. #532	C₂²×C₇	semidirect
889. #532	C₂²×C₇	semidirect
890. #532	C₂²×C₇	semidirect
891. #532	C₂²×C₇	semidirect
892. #532	C₂²×C₇	semidirect
893. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
894. C₂×#127	C₂²×C₇	semidirect
895. #529	C₂²×C₇	semidirect
896. #529	C₂²×C₇	semidirect
897. #529	C₂²×C₇	semidirect
898. #529	C₂²×C₇	semidirect
899. #529	C₂²×C₇	semidirect
900. #529	C₂²×C₇	semidirect
901. #529	C₂²×C₇	semidirect
902. #529	C₂²×C₇	semidirect
903. #529	C₂²×C₇	semidirect
904. #529	C₂²×C₇	semidirect
905. #529	C₂²×C₇	semidirect
906. #529	C₂²×C₇	semidirect
907. #529	C₂²×C₇	semidirect
908. #529	C₂²×C₇	semidirect
909. #529	C₂²×C₇	semidirect
910. #529	C₂²×C₇	semidirect
911. #529	C₂²×C₇	semidirect
912. C₂×#126	C₂²×C₇	semidirect
913. C₂×#125	C₂²×C₇	semidirect
914. C₂×#124	C₂²×C₇	semidirect
915. C₂×#124	C₂²×C₇	semidirect
916. C₂×#124	C₂²×C₇	semidirect
917. #525	C₂²×C₇	semidirect
918. #525	C₂²×C₇	semidirect
919. #525	C₂²×C₇	semidirect
920. #525	C₂²×C₇	semidirect
921. #525	C₂²×C₇	semidirect
922. #525	C₂²×C₇	semidirect
923. C₂×#123	C₂²×C₇	semidirect
924. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
925. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
927. C₂×#121	C₂²×C₇	semidirect
928. C₂×#121	C₂²×C₇	semidirect
929. C₂×#121	C₂²×C₇	semidirect
930. C₂×#121	C₂²×C₇	semidirect
931. #520	C₂²×C₇	semidirect
932. #520	C₂²×C₇	semidirect
933. #520	C₂²×C₇	semidirect
934. #518	C₂²×C₇	semidirect
935. #518	C₂²×C₇	semidirect
936. C₄×#41	C₂²×C₇	semidirect
937. C₄×#41	C₂²×C₇	semidirect
938. C₄×#41	C₂²×C₇	semidirect
939. C₂×C₄×Q₈	C₂²×C₇	semidirect
940. C₂×C₄×D₄	C₂²×C₇	semidirect
941. C₂×C₄×D₄	C₂²×C₇	semidirect
942. C₂×C₄×D₄	C₂²×C₇	semidirect
943. C₂×C₄×D₄	C₂²×C₇	semidirect
944. C₂×#117	C₂²×C₇	semidirect
945. C₂²×C₄²	C₂²×C₇	semidirect
1770. C₇	#62830	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×#3562	2
C₇×#3560	2
C₇×#3552	2
C₇×#3551	2
C₇×#3547	2
C₇×#3546	2
C₇×#3543	2
C₇×#3534	2
C₇×#3520	2
C₇×#3519	2
C₇×#3517	2
C₇×#3514	2
C₇×#3512	2
C₇×#3507	2
C₇×#3506	2
C₇×#3505	2
C₇×#3500	2
C₇×#3497	2
C₇×#3496	2
C₇×#3494	2
C₇×#3489	2
C₇×#3488	2
C₇×#3444	2
C₂×C₇×#532	2
C₂×C₇×#529	2
#62830	7

Subgroups — C7×#62830 #13240046

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62830 #13240046