Subgroups — C₂×C₇×#3560 #13239951

Order 1792.

7398 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3560	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₇×#563	C₂	1	2	yes	maximal, complemented
3	C₂×C₇×#560	C₂	1	2	yes	maximal, complemented
4	C₂×C₇×#553	C₂	1	2	yes	maximal, complemented
5	C₂×C₇×#553	C₂	1	2	yes	maximal, complemented
6	C₂×C₇×#551	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#547	C₂	1	2	yes	maximal, complemented
8	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#542	C₂	1	2	yes	maximal, complemented
11	C₂×C₇×#539	C₂	1	2	yes	maximal, complemented
12	C₂×C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
15	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
16	C₂×C₇×#537	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₇×#534	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₇×#532	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×C₇×#126	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×C₇×#41	C₂²	1	2	yes	complemented
22	C₂²×C₇×#41	C₂²	1	2	yes	complemented
23	C₂³×C₇×D₄	C₂²	1	2	yes	—
24	C₇×#563	C₂²	1	32	yes	complemented
25	C₇×#560	C₂²	1	32	yes	complemented
26	C₇×#553	C₂²	1	32	yes	complemented
27	C₇×#553	C₂²	1	32	yes	complemented
28	C₇×#551	C₂²	1	32	yes	complemented
29	C₇×#547	C₂²	1	32	yes	complemented
30	C₇×#546	C₂²	1	32	yes	complemented
31	C₇×#546	C₂²	1	32	yes	complemented
32	C₇×#542	C₂²	1	32	yes	complemented
33	C₇×#539	C₂²	1	32	yes	complemented
34	C₇×#539	C₂²	1	16	yes	complemented
35	C₇×#538	C₂²	1	16	yes	complemented
36	C₇×#538	C₂²	1	32	yes	complemented
37	C₇×#538	C₂²	1	32	yes	complemented
38	C₇×#537	C₂²	1	16	yes	complemented
39	C₇×#534	C₂²	1	16	yes	complemented
40	C₇×#532	C₂²	1	16	yes	complemented
41	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
43	C₂×C₇×#127	C₂²	1	1	yes	characteristic, complemented
44	C₇×#529	C₂²	1	16	yes	complemented
45	C₂×C₇×#126	C₂²	1	2	yes	complemented
46	C₂×C₇×#126	C₂²	1	2	yes	complemented
47	C₂×C₇×#126	C₂²	1	2	yes	complemented
48	C₂×C₇×#126	C₂²	1	2	yes	complemented
49	C₂×C₇×#126	C₂²	1	2	yes	complemented
50	C₂×C₇×#126	C₂²	1	2	yes	complemented
51	C₂×C₇×#126	C₂²	1	2	yes	complemented
52	C₂×C₇×#126	C₂²	1	2	yes	complemented
53	C₂×C₇×#126	C₂²	1	2	yes	complemented
54	C₂×C₇×#126	C₂²	1	16	yes	complemented
55	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₇×#125	C₂²	1	2	yes	complemented
57	C₂×C₇×#125	C₂²	1	2	yes	complemented
58	C₂×C₇×#124	C₂²	1	2	yes	—
59	C₂×C₇×#124	C₂²	1	2	yes	—
60	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₇×#124	C₂²	1	2	yes	complemented
62	C₂×C₇×#124	C₂²	1	2	yes	complemented
63	C₂×C₇×#123	C₂²	1	2	yes	—
64	C₂×C₇×#123	C₂²	1	2	yes	—
65	C₂×C₇×#123	C₂²	1	2	yes	—
66	C₂×C₇×#123	C₂²	1	2	yes	—
67	C₂×C₇×#123	C₂²	1	2	yes	complemented
68	C₂×C₇×#123	C₂²	1	2	yes	complemented
69	C₂×C₇×#123	C₂²	1	2	yes	complemented
70	C₂×C₇×#123	C₂²	1	2	yes	complemented
71	C₂×C₇×#123	C₂²	1	2	yes	complemented
72	C₂×C₇×#123	C₂²	1	2	yes	complemented
73	C₂×C₇×#123	C₂²	1	2	yes	complemented
74	C₂×C₇×#123	C₂²	1	2	yes	complemented
75	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
77	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
78	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
79	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
80	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
81	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
82	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
83	C₂×C₇×#121	C₂²	1	1	yes	characteristic
84	C₂×C₇×#121	C₂²	1	1	yes	characteristic
85	C₂×C₇×#121	C₂²	1	2	yes	—
86	C₂×C₇×#121	C₂²	1	2	yes	—
87	C₂×C₇×#121	C₂²	1	2	yes	—
88	C₂×C₇×#121	C₂²	1	2	yes	—
89	C₂×C₇×#121	C₂²	1	2	yes	—
90	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
91	C₂×C₇×#121	C₂²	1	2	yes	complemented
92	C₂×C₇×#121	C₂²	1	2	yes	complemented
93	C₂×C₇×#121	C₂²	1	2	yes	complemented
94	C₂×C₇×#121	C₂²	1	2	yes	complemented
95	C₂×C₇×#121	C₂²	1	2	yes	complemented
96	C₂×C₇×#121	C₂²	1	2	yes	complemented
97	C₂×C₇×#121	C₂²	1	2	yes	complemented
98	C₂×C₇×#120	C₂²	1	2	yes	—
99	C₂×C₇×#120	C₂²	1	2	yes	—
100	C₂×C₇×#120	C₂²	1	2	yes	—
101	C₂×C₇×#120	C₂²	1	2	yes	complemented
102	C₂×C₇×#120	C₂²	1	2	yes	complemented
103	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
106	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
107	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
110	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
111	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
112	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
113	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
114	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
115	C₂×C₇×#117	C₂²	1	2	yes	complemented
116	C₂×C₇×#117	C₂²	1	2	yes	complemented
117	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
121	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
122	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
123	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
124	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
125	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
126	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
127	C₂×#3560	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
128	C₂⁵×C₇	C₂³	1	1	yes	characteristic
129	C₂⁵×C₇	C₂³	1	2	yes	—
130	C₂×C₇×#41	—	4	8	no	—
131	C₂×C₇×#41	—	4	8	no	—
132	C₂×C₇×#41	C₂³	1	16	yes	complemented
133	C₂×C₇×#41	C₂³	1	16	yes	complemented
134	C₂²×C₇×Q₈	C₂³	1	2	yes	—
135	C₂²×C₇×Q₈	C₂³	1	2	yes	—
136	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
137	C₂²×C₇×D₄	—	4	8	no	—
138	C₂²×C₇×D₄	C₂³	1	2	yes	—
139	C₂²×C₇×D₄	C₂³	1	2	yes	—
140	C₂²×C₇×D₄	C₂³	1	2	yes	—
141	C₂²×C₇×D₄	C₂³	1	2	yes	—
142	C₂²×C₇×D₄	C₂³	1	2	yes	—
143	C₂²×C₇×D₄	C₂³	1	16	yes	—
144	C₂²×C₇×D₄	C₂³	1	2	yes	—
145	C₂²×C₇×D₄	C₂³	1	2	yes	—
146	C₂²×C₇×D₄	C₂³	1	2	yes	—
147	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
148	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
149	C₂²×C₇×D₄	C₂³	1	2	yes	—
150	C₂²×C₇×D₄	C₂³	1	2	yes	—
151	C₂²×C₇×D₄	C₂³	1	2	yes	—
152	C₂²×C₇×D₄	C₂³	1	2	yes	—
153	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₇	C₂³	1	2	yes	—
157	C₂³×C₄×C₇	C₂³	1	2	yes	—
158	C₂³×C₄×C₇	C₂³	1	2	yes	—
159	C₂³×C₄×C₇	C₂³	1	2	yes	—
160	C₂³×C₄×C₇	C₂³	1	2	yes	—
161	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₇	C₂³	1	2	yes	—
166	C₂³×C₄×C₇	C₂³	1	2	yes	—
167	C₂³×C₄×C₇	C₂³	1	2	yes	—
168	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
169	C₇×C₄⋊Q₈	C₂³	1	16	yes	complemented
170	C₇×#127	C₂³	1	8	yes	complemented
171	C₇×#126	C₂³	1	16	yes	complemented
172	C₇×#126	C₂³	1	16	yes	complemented
173	C₇×#126	C₂³	1	16	yes	complemented
174	C₇×#126	C₂³	1	16	yes	complemented
175	C₇×#126	C₂³	1	16	yes	complemented
176	C₇×#126	C₂³	1	16	yes	complemented
177	C₇×#126	C₂³	1	16	yes	complemented
178	C₇×#126	C₂³	1	16	yes	complemented
179	C₇×#126	C₂³	1	16	yes	complemented
180	C₇×#125	C₂³	1	8	yes	complemented
181	C₇×#125	C₂³	1	16	yes	complemented
182	C₇×#125	C₂³	1	16	yes	complemented
183	C₇×#124	C₂³	1	16	yes	—
184	C₇×#124	C₂³	1	16	yes	—
185	C₇×#124	C₂³	1	8	yes	complemented
186	C₇×#124	C₂³	1	16	yes	complemented
187	C₇×#124	C₂³	1	16	yes	complemented
188	C₇×#123	C₂³	1	16	yes	—
189	C₇×#123	C₂³	1	16	yes	—
190	C₇×#123	C₂³	1	16	yes	—
191	C₇×#123	C₂³	1	16	yes	—
192	C₇×#123	C₂³	1	16	yes	complemented
193	C₇×#123	C₂³	1	16	yes	complemented
194	C₇×#123	C₂³	1	16	yes	complemented
195	C₇×#123	C₂³	1	16	yes	complemented
196	C₇×#123	C₂³	1	16	yes	complemented
197	C₇×#123	C₂³	1	16	yes	complemented
198	C₇×#123	C₂³	1	16	yes	complemented
199	C₇×#123	C₂³	1	16	yes	complemented
200	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
201	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
202	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
203	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
204	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
205	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
206	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
207	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
208	C₇×#121	C₂³	1	8	yes	—
209	C₇×#121	C₂³	1	8	yes	—
210	C₇×#121	C₂³	1	16	yes	—
211	C₇×#121	C₂³	1	16	yes	—
212	C₇×#121	C₂³	1	16	yes	—
213	C₇×#121	C₂³	1	16	yes	—
214	C₇×#121	C₂³	1	16	yes	—
215	C₇×#121	C₂³	1	8	yes	complemented
216	C₇×#121	C₂³	1	16	yes	complemented
217	C₇×#121	C₂³	1	16	yes	complemented
218	C₇×#121	C₂³	1	16	yes	complemented
219	C₇×#121	C₂³	1	16	yes	complemented
220	C₇×#121	C₂³	1	16	yes	complemented
221	C₇×#121	C₂³	1	16	yes	complemented
222	C₇×#121	C₂³	1	16	yes	complemented
223	C₇×#120	C₂³	1	16	yes	—
224	C₇×#120	C₂³	1	16	yes	—
225	C₇×#120	C₂³	1	16	yes	—
226	C₇×#120	C₂³	1	16	yes	complemented
227	C₇×#120	C₂³	1	16	yes	complemented
228	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
229	C₄×C₇×D₄	C₂³	1	8	yes	complemented
230	C₄×C₇×D₄	C₂³	1	16	yes	complemented
231	C₄×C₇×D₄	C₂³	1	16	yes	complemented
232	C₄×C₇×D₄	C₂³	1	8	yes	complemented
233	C₄×C₇×D₄	C₂³	1	8	yes	complemented
234	C₄×C₇×D₄	C₂³	1	16	yes	complemented
235	C₄×C₇×D₄	C₂³	1	16	yes	complemented
236	C₄×C₇×D₄	C₂³	1	16	yes	complemented
237	C₄×C₇×D₄	C₂³	1	16	yes	complemented
238	C₄×C₇×D₄	C₂³	1	16	yes	complemented
239	C₄×C₇×D₄	C₂³	1	16	yes	complemented
240	C₇×#117	C₂³	1	16	yes	complemented
241	C₇×#117	C₂³	1	16	yes	complemented
242	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
243	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
244	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
245	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
246	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
247	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
248	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
249	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
250	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
251	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
252	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
253	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
254	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
255	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
259	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
260	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
264	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
265	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
266	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
267	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
268	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
269	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
270	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
271	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
272	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
273	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
274	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
275	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
276	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
277	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
278	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
279	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
285	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
296	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
297	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₇	C₂³	1	2	yes	—
302	C₂×C₄²×C₇	C₂³	1	2	yes	—
303	C₂×C₄²×C₇	C₂³	1	2	yes	—
304	C₂×C₄²×C₇	C₂³	1	8	yes	complemented
305	#3560	C₂×C₇	1	32	yes	direct product factor
306	C₂×#563	C₂×C₇	1	2	yes	complemented
307	C₂×#560	C₂×C₇	1	2	yes	complemented
308	C₂×#553	C₂×C₇	1	2	yes	complemented
309	C₂×#553	C₂×C₇	1	2	yes	complemented
310	C₂×#551	C₂×C₇	1	2	yes	complemented
311	C₂×#547	C₂×C₇	1	2	yes	complemented
312	C₂×#546	C₂×C₇	1	2	yes	complemented
313	C₂×#546	C₂×C₇	1	2	yes	complemented
314	C₂×#542	C₂×C₇	1	2	yes	complemented
315	C₂×#539	C₂×C₇	1	2	yes	complemented
316	C₂×#539	C₂×C₇	1	1	yes	characteristic, complemented
317	C₂×#538	C₂×C₇	1	1	yes	characteristic, complemented
318	C₂×#538	C₂×C₇	1	2	yes	complemented
319	C₂×#538	C₂×C₇	1	2	yes	complemented
320	C₂×#537	C₂×C₇	1	1	yes	characteristic, complemented
321	C₂×#534	C₂×C₇	1	1	yes	characteristic, complemented
322	C₂×#532	C₂×C₇	1	1	yes	characteristic, complemented
323	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
324	C₂²×#126	C₂×C₇	1	1	yes	characteristic, complemented
325	C₂⁴×C₇	—	2	4	no	—
326	C₂⁴×C₇	—	4	4	no	—
327	C₂⁴×C₇	—	4	2	no	—
328	C₂⁴×C₇	—	4	2	no	—
329	C₂⁴×C₇	—	4	4	no	—
330	C₂⁴×C₇	—	4	4	no	—
331	C₂⁴×C₇	C₂⁴	1	2	yes	—
332	C₂⁴×C₇	C₂⁴	1	2	yes	—
333	C₂⁴×C₇	C₂⁴	1	2	yes	—
334	C₂⁴×C₇	C₂⁴	1	2	yes	—
335	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
336	C₂⁴×C₇	C₂⁴	1	4	yes	—
337	C₂⁴×C₇	C₂⁴	1	8	yes	—
338	C₇×#41	—	4	32	no	—
339	C₇×#41	—	4	32	no	—
340	C₂×C₇×Q₈	—	4	2	no	—
341	C₂×C₇×Q₈	—	4	4	no	—
342	C₂×C₇×Q₈	—	4	4	no	—
343	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
344	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
345	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
346	C₂×C₇×D₄	—	2	8	no	—
347	C₂×C₇×D₄	—	2	8	no	—
348	C₂×C₇×D₄	—	2	8	no	—
349	C₂×C₇×D₄	—	4	4	no	—
350	C₂×C₇×D₄	—	4	4	no	—
351	C₂×C₇×D₄	—	4	4	no	—
352	C₂×C₇×D₄	—	4	4	no	—
353	C₂×C₇×D₄	—	4	4	no	—
354	C₂×C₇×D₄	—	4	4	no	—
355	C₂×C₇×D₄	—	4	2	no	—
356	C₂×C₇×D₄	—	4	2	no	—
357	C₂×C₇×D₄	—	4	4	no	—
358	C₂×C₇×D₄	—	4	2	no	—
359	C₂×C₇×D₄	—	4	4	no	—
360	C₂×C₇×D₄	—	4	4	no	—
361	C₂×C₇×D₄	—	4	32	no	—
362	C₂×C₇×D₄	C₂⁴	1	8	yes	—
363	C₂×C₇×D₄	C₂⁴	1	8	yes	—
364	C₂×C₇×D₄	C₂⁴	1	8	yes	—
365	C₂×C₇×D₄	C₂⁴	1	8	yes	—
366	C₂×C₇×D₄	C₂⁴	1	4	yes	—
367	C₂×C₇×D₄	C₂⁴	1	4	yes	—
368	C₂×C₇×D₄	C₂⁴	1	8	yes	—
369	C₂×C₇×D₄	C₂⁴	1	8	yes	—
370	C₂×C₇×D₄	C₂⁴	1	8	yes	—
371	C₂×C₇×D₄	C₂⁴	1	8	yes	—
372	C₂×C₇×D₄	C₂⁴	1	4	yes	—
373	C₂×C₇×D₄	C₂⁴	1	8	yes	—
374	C₂×C₇×D₄	C₂⁴	1	8	yes	—
375	C₂×C₇×D₄	C₂⁴	1	8	yes	—
376	C₂×C₇×D₄	C₂⁴	1	8	yes	—
377	C₂²×C₄×C₇	—	2	4	no	—
378	C₂²×C₄×C₇	—	2	4	no	—
379	C₂²×C₄×C₇	—	4	4	no	—
380	C₂²×C₄×C₇	—	4	2	no	—
381	C₂²×C₄×C₇	—	4	2	no	—
382	C₂²×C₄×C₇	—	4	2	no	—
383	C₂²×C₄×C₇	—	4	4	no	—
384	C₂²×C₄×C₇	—	4	4	no	—
385	C₂²×C₄×C₇	—	4	2	no	—
386	C₂²×C₄×C₇	—	4	4	no	—
387	C₂²×C₄×C₇	—	4	4	no	—
388	C₂²×C₄×C₇	—	4	4	no	—
389	C₂²×C₄×C₇	—	4	4	no	—
390	C₂²×C₄×C₇	—	4	4	no	—
391	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
392	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
401	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
402	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
404	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
405	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
406	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
407	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
409	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
410	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
411	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
412	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
413	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
414	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
415	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
416	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
417	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
418	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
419	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
420	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
421	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
422	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
423	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
424	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
425	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
426	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
427	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
428	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
429	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
430	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
431	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
432	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
433	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
434	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
435	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
436	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
437	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
438	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
439	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
440	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
441	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
442	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
443	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
445	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
446	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
447	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
448	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
449	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
450	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
452	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
453	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
454	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
455	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
456	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
457	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
458	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
459	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
460	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
461	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
462	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
464	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₄²×C₇	C₂⁴	1	4	yes	—
466	C₄²×C₇	C₂⁴	1	4	yes	—
467	C₄²×C₇	C₂⁴	1	4	yes	—
468	C₄²×C₇	C₂⁴	1	4	yes	—
469	C₄²×C₇	C₂⁴	1	8	yes	—
470	C₄²×C₇	C₂⁴	1	8	yes	—
471	C₄²×C₇	C₂⁴	1	8	yes	—
472	C₂²×#41	C₂²×C₇	1	2	yes	complemented
473	C₂²×#41	C₂²×C₇	1	2	yes	complemented
474	C₂³×D₄	C₂²×C₇	1	2	yes	—
475	#563	C₂²×C₇	1	32	yes	complemented
476	#560	C₂²×C₇	1	32	yes	complemented
477	#553	C₂²×C₇	1	32	yes	complemented
478	#553	C₂²×C₇	1	32	yes	complemented
479	#551	C₂²×C₇	1	32	yes	complemented
480	#547	C₂²×C₇	1	32	yes	complemented
481	#546	C₂²×C₇	1	32	yes	complemented
482	#546	C₂²×C₇	1	32	yes	complemented
483	#542	C₂²×C₇	1	32	yes	complemented
484	#539	C₂²×C₇	1	32	yes	complemented
485	#539	C₂²×C₇	1	16	yes	complemented
486	#538	C₂²×C₇	1	16	yes	complemented
487	#538	C₂²×C₇	1	32	yes	complemented
488	#538	C₂²×C₇	1	32	yes	complemented
489	#537	C₂²×C₇	1	16	yes	complemented
490	#534	C₂²×C₇	1	16	yes	complemented
491	#532	C₂²×C₇	1	16	yes	complemented
492	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
493	C₂×C₄⋊Q₈	C₂²×C₇	1	2	yes	complemented
494	C₂×#127	C₂²×C₇	1	1	yes	characteristic, complemented
495	#529	C₂²×C₇	1	16	yes	complemented
496	C₂×#126	C₂²×C₇	1	2	yes	complemented
497	C₂×#126	C₂²×C₇	1	2	yes	complemented
498	C₂×#126	C₂²×C₇	1	2	yes	complemented
499	C₂×#126	C₂²×C₇	1	2	yes	complemented
500	C₂×#126	C₂²×C₇	1	2	yes	complemented
501	C₂×#126	C₂²×C₇	1	2	yes	complemented
502	C₂×#126	C₂²×C₇	1	2	yes	complemented
503	C₂×#126	C₂²×C₇	1	2	yes	complemented
504	C₂×#126	C₂²×C₇	1	2	yes	complemented
505	C₂×#126	C₂²×C₇	1	16	yes	complemented
506	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
507	C₂×#125	C₂²×C₇	1	2	yes	complemented
508	C₂×#125	C₂²×C₇	1	2	yes	complemented
509	C₂×#124	C₂²×C₇	1	2	yes	—
510	C₂×#124	C₂²×C₇	1	2	yes	—
511	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
512	C₂×#124	C₂²×C₇	1	2	yes	complemented
513	C₂×#124	C₂²×C₇	1	2	yes	complemented
514	C₂×#123	C₂²×C₇	1	2	yes	—
515	C₂×#123	C₂²×C₇	1	2	yes	—
516	C₂×#123	C₂²×C₇	1	2	yes	—
517	C₂×#123	C₂²×C₇	1	2	yes	—
518	C₂×#123	C₂²×C₇	1	2	yes	complemented
519	C₂×#123	C₂²×C₇	1	2	yes	complemented
520	C₂×#123	C₂²×C₇	1	2	yes	complemented
521	C₂×#123	C₂²×C₇	1	2	yes	complemented
522	C₂×#123	C₂²×C₇	1	2	yes	complemented
523	C₂×#123	C₂²×C₇	1	2	yes	complemented
524	C₂×#123	C₂²×C₇	1	2	yes	complemented
525	C₂×#123	C₂²×C₇	1	2	yes	complemented
526	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
527	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
528	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
529	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
530	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
531	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
532	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
533	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
534	C₂×#121	C₂²×C₇	1	1	yes	characteristic
535	C₂×#121	C₂²×C₇	1	1	yes	characteristic
536	C₂×#121	C₂²×C₇	1	2	yes	—
537	C₂×#121	C₂²×C₇	1	2	yes	—
538	C₂×#121	C₂²×C₇	1	2	yes	—
539	C₂×#121	C₂²×C₇	1	2	yes	—
540	C₂×#121	C₂²×C₇	1	2	yes	—
541	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
542	C₂×#121	C₂²×C₇	1	2	yes	complemented
543	C₂×#121	C₂²×C₇	1	2	yes	complemented
544	C₂×#121	C₂²×C₇	1	2	yes	complemented
545	C₂×#121	C₂²×C₇	1	2	yes	complemented
546	C₂×#121	C₂²×C₇	1	2	yes	complemented
547	C₂×#121	C₂²×C₇	1	2	yes	complemented
548	C₂×#121	C₂²×C₇	1	2	yes	complemented
549	C₂×#120	C₂²×C₇	1	2	yes	—
550	C₂×#120	C₂²×C₇	1	2	yes	—
551	C₂×#120	C₂²×C₇	1	2	yes	—
552	C₂×#120	C₂²×C₇	1	2	yes	complemented
553	C₂×#120	C₂²×C₇	1	2	yes	complemented
554	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
555	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
556	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
557	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
558	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
559	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
560	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
561	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
562	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
563	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
564	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
565	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
566	C₂×#117	C₂²×C₇	1	2	yes	complemented
567	C₂×#117	C₂²×C₇	1	2	yes	complemented
568	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
569	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
570	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
571	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
572	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
573	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
574	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
575	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
576	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
577	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
578	C₂³×C₇	—	2	2	no	—
579	C₂³×C₇	—	2	2	no	—
580	C₂³×C₇	—	2	4	no	—
581	C₂³×C₇	—	2	4	no	—
582	C₂³×C₇	—	2	4	no	—
583	C₂³×C₇	—	2	4	no	—
584	C₂³×C₇	—	2	4	no	—
585	C₂³×C₇	—	2	4	no	—
586	C₂³×C₇	—	2	4	no	—
587	C₂³×C₇	—	2	4	no	—
588	C₂³×C₇	—	2	4	no	—
589	C₂³×C₇	—	2	4	no	—
590	C₂³×C₇	—	2	4	no	—
591	C₂³×C₇	—	2	4	no	—
592	C₂³×C₇	—	2	8	no	—
593	C₂³×C₇	—	4	8	no	—
594	C₂³×C₇	—	4	4	no	—
595	C₂³×C₇	—	4	4	no	—
596	C₂³×C₇	—	4	8	no	—
597	C₂³×C₇	—	4	8	no	—
598	C₂³×C₇	—	8	8	no	—
599	C₂³×C₇	—	8	16	no	—
600	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
601	C₂³×C₇	C₂⁵	1	4	yes	—
602	C₂³×C₇	C₂⁵	1	4	yes	—
603	C₂³×C₇	C₂⁵	1	4	yes	—
604	C₂³×C₇	C₂⁵	1	4	yes	—
605	C₂³×C₇	C₂⁵	1	2	yes	—
606	C₂³×C₇	C₂⁵	1	1	yes	characteristic
607	C₇×Q₈	—	4	4	no	—
608	C₇×Q₈	—	4	8	no	—
609	C₇×Q₈	—	4	8	no	—
610	C₇×D₄	—	2	16	no	—
611	C₇×D₄	—	2	16	no	—
612	C₇×D₄	—	2	16	no	—
613	C₇×D₄	—	4	8	no	—
614	C₇×D₄	—	4	8	no	—
615	C₇×D₄	—	4	8	no	—
616	C₇×D₄	—	4	8	no	—
617	C₇×D₄	—	4	8	no	—
618	C₇×D₄	—	4	8	no	—
619	C₇×D₄	—	4	4	no	—
620	C₇×D₄	—	4	4	no	—
621	C₇×D₄	—	4	8	no	—
622	C₇×D₄	—	4	4	no	—
623	C₇×D₄	—	4	8	no	—
624	C₇×D₄	—	4	8	no	—
625	C₂×C₄×C₇	—	2	2	no	—
626	C₂×C₄×C₇	—	2	4	no	—
627	C₂×C₄×C₇	—	2	2	no	—
628	C₂×C₄×C₇	—	2	8	no	—
629	C₂×C₄×C₇	—	2	8	no	—
630	C₂×C₄×C₇	—	2	4	no	—
631	C₂×C₄×C₇	—	2	4	no	—
632	C₂×C₄×C₇	—	2	4	no	—
633	C₂×C₄×C₇	—	2	2	no	—
634	C₂×C₄×C₇	—	2	4	no	—
635	C₂×C₄×C₇	—	2	4	no	—
636	C₂×C₄×C₇	—	2	4	no	—
637	C₂×C₄×C₇	—	2	2	no	—
638	C₂×C₄×C₇	—	2	2	no	—
639	C₂×C₄×C₇	—	2	4	no	—
640	C₂×C₄×C₇	—	2	2	no	—
641	C₂×C₄×C₇	—	4	8	no	—
642	C₂×C₄×C₇	—	4	4	no	—
643	C₂×C₄×C₇	—	4	4	no	—
644	C₂×C₄×C₇	—	4	4	no	—
645	C₂×C₄×C₇	—	4	8	no	—
646	C₂×C₄×C₇	—	4	8	no	—
647	C₂×C₄×C₇	—	4	4	no	—
648	C₂×C₄×C₇	—	4	8	no	—
649	C₂×C₄×C₇	—	4	8	no	—
650	C₂×C₄×C₇	—	4	8	no	—
651	C₂×C₄×C₇	—	4	8	no	—
652	C₂×C₄×C₇	—	4	8	no	—
653	C₂×C₄×C₇	C₂⁵	1	2	yes	—
654	C₂×C₄×C₇	C₂⁵	1	2	yes	—
655	C₂×C₄×C₇	C₂⁵	1	4	yes	—
656	C₂×C₄×C₇	C₂⁵	1	2	yes	—
657	C₂×C₄×C₇	C₂⁵	1	2	yes	—
658	C₂×C₄×C₇	C₂⁵	1	2	yes	—
659	C₂×C₄×C₇	C₂⁵	1	2	yes	—
660	C₂×C₄×C₇	C₂⁵	1	4	yes	—
661	C₂×C₄×C₇	C₂⁵	1	4	yes	—
662	C₂×C₄×C₇	C₂⁵	1	4	yes	—
663	C₂×C₄×C₇	C₂⁵	1	4	yes	—
664	C₂×C₄×C₇	C₂⁵	1	4	yes	—
665	C₂×C₄×C₇	C₂⁵	1	4	yes	—
666	C₂×C₄×C₇	C₂⁵	1	4	yes	—
667	C₂⁵	C₂³×C₇	1	1	yes	characteristic
668	C₂⁵	C₂³×C₇	1	2	yes	—
669	C₂×#41	—	4	8	no	—
670	C₂×#41	—	4	8	no	—
671	C₂×#41	C₂³×C₇	1	16	yes	complemented
672	C₂×#41	C₂³×C₇	1	16	yes	complemented
673	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
674	C₂²×Q₈	C₂³×C₇	1	2	yes	—
675	C₂²×Q₈	C₂³×C₇	1	2	yes	—
676	C₂²×D₄	—	4	8	no	—
677	C₂²×D₄	C₂³×C₇	1	2	yes	—
678	C₂²×D₄	C₂³×C₇	1	2	yes	—
679	C₂²×D₄	C₂³×C₇	1	2	yes	—
680	C₂²×D₄	C₂³×C₇	1	2	yes	—
681	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
682	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
683	C₂²×D₄	C₂³×C₇	1	2	yes	—
684	C₂²×D₄	C₂³×C₇	1	2	yes	—
685	C₂²×D₄	C₂³×C₇	1	2	yes	—
686	C₂²×D₄	C₂³×C₇	1	2	yes	—
687	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
688	C₂²×D₄	C₂³×C₇	1	2	yes	—
689	C₂²×D₄	C₂³×C₇	1	2	yes	—
690	C₂²×D₄	C₂³×C₇	1	2	yes	—
691	C₂²×D₄	C₂³×C₇	1	2	yes	—
692	C₂²×D₄	C₂³×C₇	1	16	yes	—
693	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
694	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
695	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
696	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
697	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
698	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
699	C₂³×C₄	C₂³×C₇	1	2	yes	—
700	C₂³×C₄	C₂³×C₇	1	2	yes	—
701	C₂³×C₄	C₂³×C₇	1	2	yes	—
702	C₂³×C₄	C₂³×C₇	1	2	yes	—
703	C₂³×C₄	C₂³×C₇	1	2	yes	—
704	C₂³×C₄	C₂³×C₇	1	2	yes	—
705	C₂³×C₄	C₂³×C₇	1	2	yes	—
706	C₂³×C₄	C₂³×C₇	1	2	yes	—
707	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
708	C₄⋊Q₈	C₂³×C₇	1	16	yes	complemented
709	#127	C₂³×C₇	1	8	yes	complemented
710	#126	C₂³×C₇	1	16	yes	complemented
711	#126	C₂³×C₇	1	16	yes	complemented
712	#126	C₂³×C₇	1	16	yes	complemented
713	#126	C₂³×C₇	1	16	yes	complemented
714	#126	C₂³×C₇	1	16	yes	complemented
715	#126	C₂³×C₇	1	16	yes	complemented
716	#126	C₂³×C₇	1	16	yes	complemented
717	#126	C₂³×C₇	1	16	yes	complemented
718	#126	C₂³×C₇	1	16	yes	complemented
719	#125	C₂³×C₇	1	8	yes	complemented
720	#125	C₂³×C₇	1	16	yes	complemented
721	#125	C₂³×C₇	1	16	yes	complemented
722	#124	C₂³×C₇	1	16	yes	—
723	#124	C₂³×C₇	1	16	yes	—
724	#124	C₂³×C₇	1	8	yes	complemented
725	#124	C₂³×C₇	1	16	yes	complemented
726	#124	C₂³×C₇	1	16	yes	complemented
727	#123	C₂³×C₇	1	16	yes	—
728	#123	C₂³×C₇	1	16	yes	—
729	#123	C₂³×C₇	1	16	yes	—
730	#123	C₂³×C₇	1	16	yes	—
731	#123	C₂³×C₇	1	16	yes	complemented
732	#123	C₂³×C₇	1	16	yes	complemented
733	#123	C₂³×C₇	1	16	yes	complemented
734	#123	C₂³×C₇	1	16	yes	complemented
735	#123	C₂³×C₇	1	16	yes	complemented
736	#123	C₂³×C₇	1	16	yes	complemented
737	#123	C₂³×C₇	1	16	yes	complemented
738	#123	C₂³×C₇	1	16	yes	complemented
739	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
740	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
741	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
742	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
743	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
744	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
745	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
746	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
747	#121	C₂³×C₇	1	8	yes	—
748	#121	C₂³×C₇	1	8	yes	—
749	#121	C₂³×C₇	1	16	yes	—
750	#121	C₂³×C₇	1	16	yes	—
751	#121	C₂³×C₇	1	16	yes	—
752	#121	C₂³×C₇	1	16	yes	—
753	#121	C₂³×C₇	1	16	yes	—
754	#121	C₂³×C₇	1	8	yes	complemented
755	#121	C₂³×C₇	1	16	yes	complemented
756	#121	C₂³×C₇	1	16	yes	complemented
757	#121	C₂³×C₇	1	16	yes	complemented
758	#121	C₂³×C₇	1	16	yes	complemented
759	#121	C₂³×C₇	1	16	yes	complemented
760	#121	C₂³×C₇	1	16	yes	complemented
761	#121	C₂³×C₇	1	16	yes	complemented
762	#120	C₂³×C₇	1	16	yes	—
763	#120	C₂³×C₇	1	16	yes	—
764	#120	C₂³×C₇	1	16	yes	—
765	#120	C₂³×C₇	1	16	yes	complemented
766	#120	C₂³×C₇	1	16	yes	complemented
767	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
768	C₄×D₄	C₂³×C₇	1	8	yes	complemented
769	C₄×D₄	C₂³×C₇	1	16	yes	complemented
770	C₄×D₄	C₂³×C₇	1	16	yes	complemented
771	C₄×D₄	C₂³×C₇	1	8	yes	complemented
772	C₄×D₄	C₂³×C₇	1	8	yes	complemented
773	C₄×D₄	C₂³×C₇	1	16	yes	complemented
774	C₄×D₄	C₂³×C₇	1	16	yes	complemented
775	C₄×D₄	C₂³×C₇	1	16	yes	complemented
776	C₄×D₄	C₂³×C₇	1	16	yes	complemented
777	C₄×D₄	C₂³×C₇	1	16	yes	complemented
778	C₄×D₄	C₂³×C₇	1	16	yes	complemented
779	#117	C₂³×C₇	1	16	yes	complemented
780	#117	C₂³×C₇	1	16	yes	complemented
781	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
782	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
783	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
784	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
787	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
789	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
790	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
791	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
792	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
793	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
794	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
795	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
797	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
798	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
799	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
800	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
802	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
803	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
804	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
805	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
806	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
826	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
828	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
835	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
836	C₂×C₄²	C₂³×C₇	1	2	yes	—
837	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
838	C₂×C₄²	C₂³×C₇	1	2	yes	—
839	C₂×C₄²	C₂³×C₇	1	2	yes	—
840	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
841	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
842	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
843	C₂×C₄²	C₂³×C₇	1	8	yes	complemented
844	C₂²×C₇	—	2	2	no	—
845	C₂²×C₇	—	2	2	no	—
846	C₂²×C₇	—	2	8	no	—
847	C₂²×C₇	—	2	4	no	—
848	C₂²×C₇	—	2	4	no	—
849	C₂²×C₇	—	2	4	no	—
850	C₂²×C₇	—	2	4	no	—
851	C₂²×C₇	—	2	4	no	—
852	C₂²×C₇	—	2	4	no	—
853	C₂²×C₇	—	2	4	no	—
854	C₂²×C₇	—	2	4	no	—
855	C₂²×C₇	—	2	4	no	—
856	C₂²×C₇	—	2	4	no	—
857	C₂²×C₇	—	2	4	no	—
858	C₂²×C₇	—	2	4	no	—
859	C₂²×C₇	—	4	8	no	—
860	C₂²×C₇	—	4	8	no	—
861	C₂²×C₇	—	4	8	no	—
862	C₂²×C₇	—	4	8	no	—
863	C₂²×C₇	—	8	8	no	—
864	C₂²×C₇	—	8	16	no	—
865	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
866	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
867	C₂²×C₇	#585	1	2	yes	—
868	C₂²×C₇	#585	1	2	yes	—
869	C₂²×C₇	C₂⁶	1	1	yes	characteristic
870	C₄×C₇	—	2	2	no	—
871	C₄×C₇	—	2	4	no	—
872	C₄×C₇	—	2	2	no	—
873	C₄×C₇	—	2	4	no	—
874	C₄×C₇	—	2	4	no	—
875	C₄×C₇	—	2	4	no	—
876	C₄×C₇	—	2	2	no	—
877	C₄×C₇	—	2	4	no	—
878	C₄×C₇	—	2	4	no	—
879	C₄×C₇	—	2	4	no	—
880	C₄×C₇	—	2	2	no	—
881	C₄×C₇	—	2	2	no	—
882	C₄×C₇	—	2	4	no	—
883	C₄×C₇	—	2	2	no	—
884	C₂⁴	—	2	4	no	—
885	C₂⁴	—	4	4	no	—
886	C₂⁴	—	4	2	no	—
887	C₂⁴	—	4	2	no	—
888	C₂⁴	—	4	4	no	—
889	C₂⁴	—	4	4	no	—
890	C₂⁴	C₂⁴×C₇	1	2	yes	—
891	C₂⁴	C₂⁴×C₇	1	2	yes	—
892	C₂⁴	C₂⁴×C₇	1	2	yes	—
893	C₂⁴	C₂⁴×C₇	1	2	yes	—
894	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
895	C₂⁴	C₂⁴×C₇	1	4	yes	—
896	C₂⁴	C₂⁴×C₇	1	8	yes	—
897	#41	—	4	32	no	—
898	#41	—	4	32	no	—
899	C₂×Q₈	—	4	4	no	—
900	C₂×Q₈	—	4	4	no	—
901	C₂×Q₈	—	4	2	no	—
902	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
903	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
904	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
905	C₂×D₄	—	2	8	no	—
906	C₂×D₄	—	2	8	no	—
907	C₂×D₄	—	2	8	no	—
908	C₂×D₄	—	4	4	no	—
909	C₂×D₄	—	4	4	no	—
910	C₂×D₄	—	4	4	no	—
911	C₂×D₄	—	4	4	no	—
912	C₂×D₄	—	4	4	no	—
913	C₂×D₄	—	4	4	no	—
914	C₂×D₄	—	4	4	no	—
915	C₂×D₄	—	4	4	no	—
916	C₂×D₄	—	4	2	no	—
917	C₂×D₄	—	4	2	no	—
918	C₂×D₄	—	4	4	no	—
919	C₂×D₄	—	4	2	no	—
920	C₂×D₄	—	4	32	no	—
921	C₂×D₄	C₂⁴×C₇	1	8	yes	—
922	C₂×D₄	C₂⁴×C₇	1	8	yes	—
923	C₂×D₄	C₂⁴×C₇	1	8	yes	—
924	C₂×D₄	C₂⁴×C₇	1	8	yes	—
925	C₂×D₄	C₂⁴×C₇	1	4	yes	—
926	C₂×D₄	C₂⁴×C₇	1	4	yes	—
927	C₂×D₄	C₂⁴×C₇	1	8	yes	—
928	C₂×D₄	C₂⁴×C₇	1	8	yes	—
929	C₂×D₄	C₂⁴×C₇	1	8	yes	—
930	C₂×D₄	C₂⁴×C₇	1	8	yes	—
931	C₂×D₄	C₂⁴×C₇	1	4	yes	—
932	C₂×D₄	C₂⁴×C₇	1	8	yes	—
933	C₂×D₄	C₂⁴×C₇	1	8	yes	—
934	C₂×D₄	C₂⁴×C₇	1	8	yes	—
935	C₂×D₄	C₂⁴×C₇	1	8	yes	—
936	C₂²×C₄	—	2	4	no	—
937	C₂²×C₄	—	2	4	no	—
938	C₂²×C₄	—	4	4	no	—
939	C₂²×C₄	—	4	4	no	—
940	C₂²×C₄	—	4	2	no	—
941	C₂²×C₄	—	4	2	no	—
942	C₂²×C₄	—	4	2	no	—
943	C₂²×C₄	—	4	4	no	—
944	C₂²×C₄	—	4	4	no	—
945	C₂²×C₄	—	4	2	no	—
946	C₂²×C₄	—	4	4	no	—
947	C₂²×C₄	—	4	4	no	—
948	C₂²×C₄	—	4	4	no	—
949	C₂²×C₄	—	4	4	no	—
950	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
952	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
957	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
958	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
959	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
960	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
961	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
962	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
963	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
964	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
965	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
966	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
967	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
968	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
969	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
970	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
971	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
972	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
973	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
974	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
975	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
976	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
977	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
978	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
979	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
980	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
981	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
982	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
983	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
984	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
985	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
986	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
987	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
988	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
989	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
990	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
991	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
992	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
993	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
994	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
995	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
996	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
997	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
998	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
999	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1000	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1001	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1002	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1003	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1004	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1005	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1006	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1007	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1008	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1009	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1010	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1011	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1012	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1013	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1014	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1015	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1016	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1017	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1018	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1019	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1020	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1021	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1022	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1023	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1024	C₄²	C₂⁴×C₇	1	4	yes	—
1025	C₄²	C₂⁴×C₇	1	4	yes	—
1026	C₄²	C₂⁴×C₇	1	4	yes	—
1027	C₄²	C₂⁴×C₇	1	4	yes	—
1028	C₄²	C₂⁴×C₇	1	8	yes	—
1029	C₄²	C₂⁴×C₇	1	8	yes	—
1030	C₄²	C₂⁴×C₇	1	8	yes	—
1031	C₂×C₇	—	2	4	no	—
1032	C₂×C₇	—	4	4	no	—
1033	C₂×C₇	—	4	4	no	—
1034	C₂×C₇	—	4	4	no	—
1035	C₂×C₇	—	4	4	no	—
1036	C₂×C₇	#3560	1	4	yes	direct product factor
1037	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1038	C₂×C₇	C₂×#585	1	1	yes	characteristic
1039	C₂×C₇	C₂×#585	1	1	yes	characteristic
1040	C₂³	—	2	2	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	4	no	—
1043	C₂³	—	2	4	no	—
1044	C₂³	—	2	4	no	—
1045	C₂³	—	2	4	no	—
1046	C₂³	—	2	4	no	—
1047	C₂³	—	2	4	no	—
1048	C₂³	—	2	4	no	—
1049	C₂³	—	2	4	no	—
1050	C₂³	—	2	4	no	—
1051	C₂³	—	2	4	no	—
1052	C₂³	—	2	4	no	—
1053	C₂³	—	2	4	no	—
1054	C₂³	—	2	8	no	—
1055	C₂³	—	4	8	no	—
1056	C₂³	—	4	4	no	—
1057	C₂³	—	4	4	no	—
1058	C₂³	—	4	8	no	—
1059	C₂³	—	4	8	no	—
1060	C₂³	—	8	8	no	—
1061	C₂³	—	8	16	no	—
1062	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
1063	C₂³	C₂⁵×C₇	1	4	yes	—
1064	C₂³	C₂⁵×C₇	1	4	yes	—
1065	C₂³	C₂⁵×C₇	1	4	yes	—
1066	C₂³	C₂⁵×C₇	1	4	yes	—
1067	C₂³	C₂⁵×C₇	1	2	yes	—
1068	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1069	Q₈	—	4	4	no	—
1070	Q₈	—	4	8	no	—
1071	Q₈	—	4	8	no	—
1072	D₄	—	2	16	no	—
1073	D₄	—	2	16	no	—
1074	D₄	—	2	16	no	—
1075	D₄	—	4	8	no	—
1076	D₄	—	4	8	no	—
1077	D₄	—	4	8	no	—
1078	D₄	—	4	8	no	—
1079	D₄	—	4	8	no	—
1080	D₄	—	4	8	no	—
1081	D₄	—	4	4	no	—
1082	D₄	—	4	4	no	—
1083	D₄	—	4	8	no	—
1084	D₄	—	4	4	no	—
1085	D₄	—	4	8	no	—
1086	D₄	—	4	8	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	4	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	8	no	—
1091	C₂×C₄	—	2	8	no	—
1092	C₂×C₄	—	2	4	no	—
1093	C₂×C₄	—	2	4	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	4	no	—
1097	C₂×C₄	—	2	4	no	—
1098	C₂×C₄	—	2	4	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	4	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	4	8	no	—
1104	C₂×C₄	—	4	4	no	—
1105	C₂×C₄	—	4	4	no	—
1106	C₂×C₄	—	4	4	no	—
1107	C₂×C₄	—	4	8	no	—
1108	C₂×C₄	—	4	8	no	—
1109	C₂×C₄	—	4	4	no	—
1110	C₂×C₄	—	4	8	no	—
1111	C₂×C₄	—	4	8	no	—
1112	C₂×C₄	—	4	8	no	—
1113	C₂×C₄	—	4	8	no	—
1114	C₂×C₄	—	4	8	no	—
1115	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1116	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1117	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1118	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1119	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1120	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1121	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1122	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1123	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1124	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1125	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1126	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1127	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1128	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1129	C₇	C₂×#3560	1	1	yes	characteristic, direct product factor, Sylow
1130	C₂²	—	2	8	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	4	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	4	no	—
1137	C₂²	—	2	4	no	—
1138	C₂²	—	2	4	no	—
1139	C₂²	—	2	4	no	—
1140	C₂²	—	2	4	no	—
1141	C₂²	—	2	4	no	—
1142	C₂²	—	2	4	no	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	4	8	no	—
1146	C₂²	—	4	8	no	—
1147	C₂²	—	4	8	no	—
1148	C₂²	—	4	8	no	—
1149	C₂²	—	8	8	no	—
1150	C₂²	—	8	16	no	—
1151	C₂²	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1152	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1153	C₂²	C₇×#585	1	2	yes	—
1154	C₂²	C₇×#585	1	2	yes	—
1155	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1156	C₄	—	2	2	no	—
1157	C₄	—	2	4	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	2	4	no	—
1160	C₄	—	2	4	no	—
1161	C₄	—	2	4	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	4	no	—
1164	C₄	—	2	4	no	—
1165	C₄	—	2	4	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	2	2	no	—
1168	C₄	—	2	4	no	—
1169	C₄	—	2	2	no	—
1170	C₂	—	2	4	no	—
1171	C₂	—	4	4	no	—
1172	C₂	—	4	4	no	—
1173	C₂	—	4	4	no	—
1174	C₂	—	4	4	no	—
1175	C₂	C₇×#3560	1	4	yes	direct product factor
1176	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1177	C₂	C₂×C₇×#585	1	1	yes	characteristic
1178	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3560	C₂	direct (N × H)
2. C₂×C₇×#563	C₂	semidirect
3. C₂×C₇×#560	C₂	semidirect
4. C₂×C₇×#553	C₂	semidirect
5. C₂×C₇×#553	C₂	semidirect
6. C₂×C₇×#551	C₂	semidirect
7. C₂×C₇×#547	C₂	semidirect
8. C₂×C₇×#546	C₂	semidirect
9. C₂×C₇×#546	C₂	semidirect
10. C₂×C₇×#542	C₂	semidirect
11. C₂×C₇×#539	C₂	semidirect
12. C₂×C₇×#539	C₂	semidirect
13. C₂×C₇×#538	C₂	semidirect
14. C₂×C₇×#538	C₂	semidirect
15. C₂×C₇×#538	C₂	semidirect
16. C₂×C₇×#537	C₂	semidirect
17. C₂×C₇×#534	C₂	semidirect
18. C₂×C₇×#532	C₂	semidirect
19. C₂×C₇×#529	C₂	semidirect
20. C₂²×C₇×#126	C₂	semidirect
21. C₂²×C₇×#41	C₂²	semidirect
22. C₂²×C₇×#41	C₂²	semidirect
24. C₇×#563	C₂²	semidirect
25. C₇×#560	C₂²	semidirect
26. C₇×#553	C₂²	semidirect
27. C₇×#553	C₂²	semidirect
28. C₇×#551	C₂²	semidirect
29. C₇×#547	C₂²	semidirect
30. C₇×#546	C₂²	semidirect
31. C₇×#546	C₂²	semidirect
32. C₇×#542	C₂²	semidirect
33. C₇×#539	C₂²	semidirect
34. C₇×#539	C₂²	semidirect
35. C₇×#538	C₂²	semidirect
36. C₇×#538	C₂²	semidirect
37. C₇×#538	C₂²	semidirect
38. C₇×#537	C₂²	semidirect
39. C₇×#534	C₂²	semidirect
40. C₇×#532	C₂²	semidirect
41. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
42. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
43. C₂×C₇×#127	C₂²	semidirect
44. C₇×#529	C₂²	semidirect
45. C₂×C₇×#126	C₂²	semidirect
46. C₂×C₇×#126	C₂²	semidirect
47. C₂×C₇×#126	C₂²	semidirect
48. C₂×C₇×#126	C₂²	semidirect
49. C₂×C₇×#126	C₂²	semidirect
50. C₂×C₇×#126	C₂²	semidirect
51. C₂×C₇×#126	C₂²	semidirect
52. C₂×C₇×#126	C₂²	semidirect
53. C₂×C₇×#126	C₂²	semidirect
54. C₂×C₇×#126	C₂²	semidirect
55. C₂×C₇×#125	C₂²	semidirect
56. C₂×C₇×#125	C₂²	semidirect
57. C₂×C₇×#125	C₂²	semidirect
60. C₂×C₇×#124	C₂²	semidirect
61. C₂×C₇×#124	C₂²	semidirect
62. C₂×C₇×#124	C₂²	semidirect
67. C₂×C₇×#123	C₂²	semidirect
68. C₂×C₇×#123	C₂²	semidirect
69. C₂×C₇×#123	C₂²	semidirect
70. C₂×C₇×#123	C₂²	semidirect
71. C₂×C₇×#123	C₂²	semidirect
72. C₂×C₇×#123	C₂²	semidirect
73. C₂×C₇×#123	C₂²	semidirect
74. C₂×C₇×#123	C₂²	semidirect
75. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
76. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
77. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
78. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
79. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
80. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
81. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
82. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
90. C₂×C₇×#121	C₂²	semidirect
91. C₂×C₇×#121	C₂²	semidirect
92. C₂×C₇×#121	C₂²	semidirect
93. C₂×C₇×#121	C₂²	semidirect
94. C₂×C₇×#121	C₂²	semidirect
95. C₂×C₇×#121	C₂²	semidirect
96. C₂×C₇×#121	C₂²	semidirect
97. C₂×C₇×#121	C₂²	semidirect
101. C₂×C₇×#120	C₂²	semidirect
102. C₂×C₇×#120	C₂²	semidirect
103. C₂×C₄×C₇×Q₈	C₂²	semidirect
104. C₂×C₄×C₇×D₄	C₂²	semidirect
105. C₂×C₄×C₇×D₄	C₂²	semidirect
106. C₂×C₄×C₇×D₄	C₂²	semidirect
107. C₂×C₄×C₇×D₄	C₂²	semidirect
108. C₂×C₄×C₇×D₄	C₂²	semidirect
109. C₂×C₄×C₇×D₄	C₂²	semidirect
110. C₂×C₄×C₇×D₄	C₂²	semidirect
111. C₂×C₄×C₇×D₄	C₂²	semidirect
112. C₂×C₄×C₇×D₄	C₂²	semidirect
113. C₂×C₄×C₇×D₄	C₂²	semidirect
114. C₂×C₄×C₇×D₄	C₂²	semidirect
115. C₂×C₇×#117	C₂²	semidirect
116. C₂×C₇×#117	C₂²	semidirect
117. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
118. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
119. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
120. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
124. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
125. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
126. C₂²×C₄²×C₇	C₂²	semidirect
127. C₂×#3560	C₇	direct (N × H)
132. C₂×C₇×#41	C₂³	semidirect
133. C₂×C₇×#41	C₂³	semidirect
168. C₇×C₄⋊Q₈	C₂³	semidirect
169. C₇×C₄⋊Q₈	C₂³	semidirect
170. C₇×#127	C₂³	semidirect
171. C₇×#126	C₂³	semidirect
172. C₇×#126	C₂³	semidirect
173. C₇×#126	C₂³	semidirect
174. C₇×#126	C₂³	semidirect
175. C₇×#126	C₂³	semidirect
176. C₇×#126	C₂³	semidirect
177. C₇×#126	C₂³	semidirect
178. C₇×#126	C₂³	semidirect
179. C₇×#126	C₂³	semidirect
180. C₇×#125	C₂³	semidirect
181. C₇×#125	C₂³	semidirect
182. C₇×#125	C₂³	semidirect
185. C₇×#124	C₂³	semidirect
186. C₇×#124	C₂³	semidirect
187. C₇×#124	C₂³	semidirect
192. C₇×#123	C₂³	semidirect
193. C₇×#123	C₂³	semidirect
194. C₇×#123	C₂³	semidirect
195. C₇×#123	C₂³	semidirect
196. C₇×#123	C₂³	semidirect
197. C₇×#123	C₂³	semidirect
198. C₇×#123	C₂³	semidirect
199. C₇×#123	C₂³	semidirect
200. C₇×C₂²⋊Q₈	C₂³	semidirect
201. C₇×C₂²⋊Q₈	C₂³	semidirect
202. C₇×C₂²⋊Q₈	C₂³	semidirect
203. C₇×C₂²⋊Q₈	C₂³	semidirect
204. C₇×C₂²⋊Q₈	C₂³	semidirect
205. C₇×C₂²⋊Q₈	C₂³	semidirect
206. C₇×C₂²⋊Q₈	C₂³	semidirect
207. C₇×C₂²⋊Q₈	C₂³	semidirect
215. C₇×#121	C₂³	semidirect
216. C₇×#121	C₂³	semidirect
217. C₇×#121	C₂³	semidirect
218. C₇×#121	C₂³	semidirect
219. C₇×#121	C₂³	semidirect
220. C₇×#121	C₂³	semidirect
221. C₇×#121	C₂³	semidirect
222. C₇×#121	C₂³	semidirect
226. C₇×#120	C₂³	semidirect
227. C₇×#120	C₂³	semidirect
228. C₄×C₇×Q₈	C₂³	semidirect
229. C₄×C₇×D₄	C₂³	semidirect
230. C₄×C₇×D₄	C₂³	semidirect
231. C₄×C₇×D₄	C₂³	semidirect
232. C₄×C₇×D₄	C₂³	semidirect
233. C₄×C₇×D₄	C₂³	semidirect
234. C₄×C₇×D₄	C₂³	semidirect
235. C₄×C₇×D₄	C₂³	semidirect
236. C₄×C₇×D₄	C₂³	semidirect
237. C₄×C₇×D₄	C₂³	semidirect
238. C₄×C₇×D₄	C₂³	semidirect
239. C₄×C₇×D₄	C₂³	semidirect
240. C₇×#117	C₂³	semidirect
241. C₇×#117	C₂³	semidirect
263. C₂×C₇×C₄⋊C₄	C₂³	semidirect
264. C₂×C₇×C₄⋊C₄	C₂³	semidirect
265. C₂×C₇×C₄⋊C₄	C₂³	semidirect
266. C₂×C₇×C₄⋊C₄	C₂³	semidirect
295. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
296. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
304. C₂×C₄²×C₇	C₂³	semidirect
305. #3560	C₂×C₇	direct (N × H)
306. C₂×#563	C₂×C₇	semidirect
307. C₂×#560	C₂×C₇	semidirect
308. C₂×#553	C₂×C₇	semidirect
309. C₂×#553	C₂×C₇	semidirect
310. C₂×#551	C₂×C₇	semidirect
311. C₂×#547	C₂×C₇	semidirect
312. C₂×#546	C₂×C₇	semidirect
313. C₂×#546	C₂×C₇	semidirect
314. C₂×#542	C₂×C₇	semidirect
315. C₂×#539	C₂×C₇	semidirect
316. C₂×#539	C₂×C₇	semidirect
317. C₂×#538	C₂×C₇	semidirect
318. C₂×#538	C₂×C₇	semidirect
319. C₂×#538	C₂×C₇	semidirect
320. C₂×#537	C₂×C₇	semidirect
321. C₂×#534	C₂×C₇	semidirect
322. C₂×#532	C₂×C₇	semidirect
323. C₂×#529	C₂×C₇	semidirect
324. C₂²×#126	C₂×C₇	semidirect
472. C₂²×#41	C₂²×C₇	semidirect
473. C₂²×#41	C₂²×C₇	semidirect
475. #563	C₂²×C₇	semidirect
476. #560	C₂²×C₇	semidirect
477. #553	C₂²×C₇	semidirect
478. #553	C₂²×C₇	semidirect
479. #551	C₂²×C₇	semidirect
480. #547	C₂²×C₇	semidirect
481. #546	C₂²×C₇	semidirect
482. #546	C₂²×C₇	semidirect
483. #542	C₂²×C₇	semidirect
484. #539	C₂²×C₇	semidirect
485. #539	C₂²×C₇	semidirect
486. #538	C₂²×C₇	semidirect
487. #538	C₂²×C₇	semidirect
488. #538	C₂²×C₇	semidirect
489. #537	C₂²×C₇	semidirect
490. #534	C₂²×C₇	semidirect
491. #532	C₂²×C₇	semidirect
492. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
493. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
494. C₂×#127	C₂²×C₇	semidirect
495. #529	C₂²×C₇	semidirect
496. C₂×#126	C₂²×C₇	semidirect
497. C₂×#126	C₂²×C₇	semidirect
498. C₂×#126	C₂²×C₇	semidirect
499. C₂×#126	C₂²×C₇	semidirect
500. C₂×#126	C₂²×C₇	semidirect
501. C₂×#126	C₂²×C₇	semidirect
502. C₂×#126	C₂²×C₇	semidirect
503. C₂×#126	C₂²×C₇	semidirect
504. C₂×#126	C₂²×C₇	semidirect
505. C₂×#126	C₂²×C₇	semidirect
506. C₂×#125	C₂²×C₇	semidirect
507. C₂×#125	C₂²×C₇	semidirect
508. C₂×#125	C₂²×C₇	semidirect
511. C₂×#124	C₂²×C₇	semidirect
512. C₂×#124	C₂²×C₇	semidirect
513. C₂×#124	C₂²×C₇	semidirect
518. C₂×#123	C₂²×C₇	semidirect
519. C₂×#123	C₂²×C₇	semidirect
520. C₂×#123	C₂²×C₇	semidirect
521. C₂×#123	C₂²×C₇	semidirect
522. C₂×#123	C₂²×C₇	semidirect
523. C₂×#123	C₂²×C₇	semidirect
524. C₂×#123	C₂²×C₇	semidirect
525. C₂×#123	C₂²×C₇	semidirect
526. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
527. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
528. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
529. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
530. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
531. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
532. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
533. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
541. C₂×#121	C₂²×C₇	semidirect
542. C₂×#121	C₂²×C₇	semidirect
543. C₂×#121	C₂²×C₇	semidirect
544. C₂×#121	C₂²×C₇	semidirect
545. C₂×#121	C₂²×C₇	semidirect
546. C₂×#121	C₂²×C₇	semidirect
547. C₂×#121	C₂²×C₇	semidirect
548. C₂×#121	C₂²×C₇	semidirect
552. C₂×#120	C₂²×C₇	semidirect
553. C₂×#120	C₂²×C₇	semidirect
554. C₂×C₄×Q₈	C₂²×C₇	semidirect
555. C₂×C₄×D₄	C₂²×C₇	semidirect
556. C₂×C₄×D₄	C₂²×C₇	semidirect
557. C₂×C₄×D₄	C₂²×C₇	semidirect
558. C₂×C₄×D₄	C₂²×C₇	semidirect
559. C₂×C₄×D₄	C₂²×C₇	semidirect
560. C₂×C₄×D₄	C₂²×C₇	semidirect
561. C₂×C₄×D₄	C₂²×C₇	semidirect
562. C₂×C₄×D₄	C₂²×C₇	semidirect
563. C₂×C₄×D₄	C₂²×C₇	semidirect
564. C₂×C₄×D₄	C₂²×C₇	semidirect
565. C₂×C₄×D₄	C₂²×C₇	semidirect
566. C₂×#117	C₂²×C₇	semidirect
567. C₂×#117	C₂²×C₇	semidirect
568. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
569. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
570. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
571. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
575. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
576. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
577. C₂²×C₄²	C₂²×C₇	semidirect
671. C₂×#41	C₂³×C₇	semidirect
672. C₂×#41	C₂³×C₇	semidirect
707. C₄⋊Q₈	C₂³×C₇	semidirect
708. C₄⋊Q₈	C₂³×C₇	semidirect
709. #127	C₂³×C₇	semidirect
710. #126	C₂³×C₇	semidirect
711. #126	C₂³×C₇	semidirect
712. #126	C₂³×C₇	semidirect
713. #126	C₂³×C₇	semidirect
714. #126	C₂³×C₇	semidirect
715. #126	C₂³×C₇	semidirect
716. #126	C₂³×C₇	semidirect
717. #126	C₂³×C₇	semidirect
718. #126	C₂³×C₇	semidirect
719. #125	C₂³×C₇	semidirect
720. #125	C₂³×C₇	semidirect
721. #125	C₂³×C₇	semidirect
724. #124	C₂³×C₇	semidirect
725. #124	C₂³×C₇	semidirect
726. #124	C₂³×C₇	semidirect
731. #123	C₂³×C₇	semidirect
732. #123	C₂³×C₇	semidirect
733. #123	C₂³×C₇	semidirect
734. #123	C₂³×C₇	semidirect
735. #123	C₂³×C₇	semidirect
736. #123	C₂³×C₇	semidirect
737. #123	C₂³×C₇	semidirect
738. #123	C₂³×C₇	semidirect
739. C₂²⋊Q₈	C₂³×C₇	semidirect
740. C₂²⋊Q₈	C₂³×C₇	semidirect
741. C₂²⋊Q₈	C₂³×C₇	semidirect
742. C₂²⋊Q₈	C₂³×C₇	semidirect
743. C₂²⋊Q₈	C₂³×C₇	semidirect
744. C₂²⋊Q₈	C₂³×C₇	semidirect
745. C₂²⋊Q₈	C₂³×C₇	semidirect
746. C₂²⋊Q₈	C₂³×C₇	semidirect
754. #121	C₂³×C₇	semidirect
755. #121	C₂³×C₇	semidirect
756. #121	C₂³×C₇	semidirect
757. #121	C₂³×C₇	semidirect
758. #121	C₂³×C₇	semidirect
759. #121	C₂³×C₇	semidirect
760. #121	C₂³×C₇	semidirect
761. #121	C₂³×C₇	semidirect
765. #120	C₂³×C₇	semidirect
766. #120	C₂³×C₇	semidirect
767. C₄×Q₈	C₂³×C₇	semidirect
768. C₄×D₄	C₂³×C₇	semidirect
769. C₄×D₄	C₂³×C₇	semidirect
770. C₄×D₄	C₂³×C₇	semidirect
771. C₄×D₄	C₂³×C₇	semidirect
772. C₄×D₄	C₂³×C₇	semidirect
773. C₄×D₄	C₂³×C₇	semidirect
774. C₄×D₄	C₂³×C₇	semidirect
775. C₄×D₄	C₂³×C₇	semidirect
776. C₄×D₄	C₂³×C₇	semidirect
777. C₄×D₄	C₂³×C₇	semidirect
778. C₄×D₄	C₂³×C₇	semidirect
779. #117	C₂³×C₇	semidirect
780. #117	C₂³×C₇	semidirect
802. C₂×C₄⋊C₄	C₂³×C₇	semidirect
803. C₂×C₄⋊C₄	C₂³×C₇	semidirect
804. C₂×C₄⋊C₄	C₂³×C₇	semidirect
805. C₂×C₄⋊C₄	C₂³×C₇	semidirect
834. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
835. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
843. C₂×C₄²	C₂³×C₇	semidirect
1036. C₂×C₇	#3560	direct (N × H)
1129. C₇	C₂×#3560	direct (N × H)
1175. C₂	C₇×#3560	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×#3560	2
C₂×C₇×#563	2
C₂×C₇×#560	2
C₂×C₇×#553	2
C₂×C₇×#551	2
C₂×C₇×#547	2
C₂×C₇×#546	2
C₂×C₇×#542	2
C₂×C₇×#539	2
C₂×C₇×#538	2
C₂×C₇×#537	2
C₂×C₇×#534	2
C₂×C₇×#532	2
C₂×C₇×#529	2
C₂²×C₇×#126	2
C₂×#3560	7

Subgroups — C2×C7×#3560 #13239951

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3560 #13239951