Subgroups — C₇×#60240 #13237456

Order 1792.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×D₄×#41	C₂	1	1	yes	maximal, characteristic
2	C₇×#2981	C₂	1	2	yes	maximal, complemented
3	C₇×#2980	C₂	1	2	yes	maximal, complemented
4	C₇×#2978	C₂	1	2	yes	maximal, complemented
5	C₇×#2977	C₂	1	2	yes	maximal, complemented
6	C₇×#2976	C₂	1	2	yes	maximal, complemented
7	C₇×#2976	C₂	1	2	yes	maximal, complemented
8	C₇×#2974	C₂	1	2	yes	maximal, complemented
9	C₇×#2973	C₂	1	2	yes	maximal, complemented
10	C₇×#2935	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2933	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2933	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2932	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2930	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2929	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₇×#435	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2923	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2880	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2880	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2879	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#408	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
26	C₂×C₇×#131	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₇×#131	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₇×#131	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₇×#131	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
32	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₇×C₈	C₂²	1	1	yes	characteristic, complemented
34	C₇×#550	C₄	1	1	yes	characteristic
35	C₇×D₄×Q₈	C₄	1	1	yes	characteristic
36	C₇×#548	C₄	1	1	yes	characteristic
37	C₇×#548	C₄	1	1	yes	characteristic
38	C₇×#547	C₄	1	2	yes	—
39	C₇×#547	C₄	1	1	yes	characteristic
40	C₇×#546	C₄	1	2	yes	—
41	C₇×#546	C₄	1	2	yes	—
42	C₇×#546	C₄	1	1	yes	characteristic
43	C₇×#546	C₄	1	1	yes	characteristic
44	C₇×D₄²	C₄	1	1	yes	characteristic
45	C₇×D₄²	C₄	1	2	yes	—
46	C₇×#532	C₂²	1	1	yes	characteristic
47	C₇×#532	C₂²	1	2	yes	—
48	C₇×#525	C₂²	1	1	yes	characteristic
49	C₇×#525	C₂²	1	1	yes	characteristic
50	C₇×#525	C₂²	1	2	yes	—
51	C₇×#525	C₂²	1	2	yes	—
52	C₄×C₇×#41	C₂²	1	1	yes	characteristic
53	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
55	C₇×#436	C₂²	1	2	yes	complemented
56	C₇×#436	C₂²	1	2	yes	complemented
57	C₇×#436	C₂²	1	2	yes	complemented
58	C₇×#436	C₂²	1	2	yes	complemented
59	C₇×#436	C₂²	1	2	yes	complemented
60	C₇×#436	C₂²	1	2	yes	complemented
61	C₇×#435	C₂²	1	1	yes	characteristic
62	C₇×#435	C₂²	1	1	yes	characteristic
63	C₇×#435	C₂²	1	2	yes	—
64	C₇×#435	C₂²	1	1	yes	characteristic, complemented
65	C₇×#435	C₂²	1	1	yes	characteristic, complemented
66	C₇×#435	C₂²	1	1	yes	characteristic, complemented
67	C₇×#435	C₂²	1	1	yes	characteristic, complemented
68	C₇×#435	C₂²	1	1	yes	characteristic, complemented
69	C₇×#435	C₂²	1	1	yes	characteristic, complemented
70	C₇×#435	C₂²	1	2	yes	complemented
71	C₇×#435	C₂²	1	2	yes	complemented
72	C₇×#435	C₂²	1	2	yes	complemented
73	C₇×#435	C₂²	1	2	yes	complemented
74	C₇×#435	C₂²	1	2	yes	complemented
75	C₇×#435	C₂²	1	2	yes	complemented
76	C₇×#435	C₂²	1	2	yes	complemented
77	C₇×#435	C₂²	1	2	yes	complemented
78	C₇×#435	C₂²	1	2	yes	complemented
79	C₇×#435	C₂²	1	2	yes	complemented
80	C₇×#435	C₂²	1	2	yes	complemented
81	C₇×#435	C₂²	1	2	yes	complemented
82	C₇×#435	C₂²	1	2	yes	complemented
83	C₇×#435	C₂²	1	2	yes	complemented
84	C₇×#435	C₂²	1	2	yes	complemented
85	C₇×C₈×D₄	C₂²	1	2	yes	complemented
86	C₇×C₈×D₄	C₂²	1	2	yes	complemented
87	C₇×C₈×D₄	C₂²	1	2	yes	complemented
88	C₇×C₈×D₄	C₂²	1	2	yes	complemented
89	C₇×C₈×D₄	C₂²	1	2	yes	complemented
90	C₇×C₈×D₄	C₂²	1	2	yes	complemented
91	C₇×#433	C₂²	1	2	yes	complemented
92	C₇×#433	C₂²	1	2	yes	complemented
93	C₇×#433	C₂²	1	2	yes	complemented
94	C₇×#433	C₂²	1	2	yes	complemented
95	C₇×#432	C₂²	1	2	yes	complemented
96	C₇×#432	C₂²	1	2	yes	complemented
97	C₇×#432	C₂²	1	2	yes	complemented
98	C₇×#431	C₂²	1	2	yes	complemented
99	C₇×#424	C₂²	1	1	yes	characteristic, complemented
100	C₇×#424	C₂²	1	1	yes	characteristic, complemented
101	C₇×#423	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
103	C₇×#408	C₂²	1	1	yes	characteristic
104	C₇×#408	C₂²	1	1	yes	characteristic
105	C₇×#408	C₂²	1	1	yes	characteristic
106	C₇×#408	C₂²	1	1	yes	characteristic
107	C₇×#408	C₂²	1	1	yes	characteristic, complemented
108	C₇×#408	C₂²	1	1	yes	characteristic, complemented
109	C₇×#408	C₂²	1	1	yes	characteristic, complemented
110	C₇×#408	C₂²	1	1	yes	characteristic, complemented
111	C₇×#408	C₂²	1	2	yes	complemented
112	C₇×#408	C₂²	1	2	yes	complemented
113	C₇×#408	C₂²	1	2	yes	complemented
114	C₇×#408	C₂²	1	2	yes	complemented
115	C₇×#408	C₂²	1	2	yes	complemented
116	C₇×#408	C₂²	1	2	yes	complemented
117	C₇×#408	C₂²	1	2	yes	complemented
118	C₇×#408	C₂²	1	2	yes	complemented
119	C₇×#407	C₂²	1	1	yes	characteristic, complemented
120	C₇×#407	C₂²	1	1	yes	characteristic, complemented
121	C₇×#407	C₂²	1	2	yes	complemented
122	C₇×#407	C₂²	1	2	yes	complemented
123	C₇×#407	C₂²	1	2	yes	complemented
124	C₇×#407	C₂²	1	2	yes	complemented
125	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	complemented
128	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	complemented
129	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	complemented
130	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	complemented
131	C₇×#405	C₂²	1	1	yes	characteristic, complemented
132	C₇×#405	C₂²	1	1	yes	characteristic, complemented
133	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₇×#97	C₂²	1	1	yes	characteristic, complemented
135	#60240	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	4	2	no	—
137	C₂×C₇×#41	—	4	2	no	—
138	C₂×C₇×#41	—	4	2	no	—
139	C₂×C₇×#41	—	4	2	no	—
140	C₂×C₇×#41	C₂×C₄	1	2	yes	—
141	C₂×C₇×#41	C₂×C₄	1	2	yes	—
142	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
143	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
144	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
145	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
146	C₂×C₇×#41	C₂³	1	1	yes	characteristic
147	C₂×C₇×#41	C₂³	1	1	yes	characteristic
148	C₂×C₇×#41	C₂³	1	1	yes	characteristic
149	C₂×C₇×#41	C₂³	1	2	yes	—
150	C₂×C₇×#41	C₂³	1	2	yes	—
151	C₂²×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
152	C₂²×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
153	C₂²×C₇×D₄	C₂×C₄	1	1	yes	characteristic
154	C₂²×C₇×D₄	C₂×C₄	1	1	yes	characteristic
155	C₂²×C₇×D₄	C₂×C₄	1	2	yes	—
156	C₂²×C₇×D₄	C₂×C₄	1	2	yes	—
157	C₂²×C₇×D₄	C₂×C₄	1	1	yes	characteristic
158	C₂²×C₇×D₄	C₂×C₄	1	2	yes	—
159	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₇	C₂³	1	2	yes	—
162	C₂³×C₄×C₇	C₂³	1	2	yes	—
163	C₇×#131	—	4	2	no	—
164	C₇×#131	—	4	2	no	—
165	C₇×#131	—	4	2	no	—
166	C₇×#131	—	4	2	no	—
167	C₂×C₇×M₁₆	—	4	2	no	—
168	C₂×C₇×M₁₆	—	4	2	no	—
169	C₂×C₇×M₁₆	—	4	2	no	—
170	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
171	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
172	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
173	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
174	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
175	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
176	C₂×C₇×M₁₆	C₂³	1	2	yes	—
177	C₂×C₇×M₁₆	C₂³	1	2	yes	—
178	C₂×C₇×M₁₆	C₂³	1	2	yes	—
179	C₂×C₇×M₁₆	C₂³	1	2	yes	—
180	C₂×C₇×M₁₆	C₂³	1	2	yes	—
181	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
182	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
183	C₂×C₇×M₁₆	C₂³	1	2	yes	—
184	C₂²×C₇×C₈	—	4	2	no	—
185	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
186	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
187	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
188	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
189	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
190	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
191	C₂²×C₇×C₈	C₂³	1	2	yes	—
192	C₂²×C₇×C₈	C₂³	1	2	yes	—
193	C₂²×C₇×C₈	C₂³	1	2	yes	—
194	C₂²×C₇×C₈	C₂³	1	2	yes	—
195	C₂²×C₇×C₈	C₂³	1	2	yes	—
196	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
197	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
198	C₂²×C₇×C₈	C₂³	1	2	yes	—
199	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
200	C₇×C₄⋊Q₈	C₂×C₄	1	2	yes	—
201	C₇×#127	C₂×C₄	1	1	yes	characteristic
202	C₇×#127	C₂×C₄	1	2	yes	—
203	C₇×#124	C₂×C₄	1	1	yes	characteristic
204	C₇×#124	C₂×C₄	1	1	yes	characteristic
205	C₇×#124	C₂×C₄	1	2	yes	—
206	C₇×#124	C₂×C₄	1	2	yes	—
207	C₇×#123	C₂×C₄	1	2	yes	—
208	C₇×#123	C₂×C₄	1	2	yes	—
209	C₇×#123	C₂×C₄	1	2	yes	—
210	C₇×#123	C₂×C₄	1	2	yes	—
211	C₇×#123	C₂×C₄	1	2	yes	—
212	C₇×#123	C₂×C₄	1	2	yes	—
213	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
214	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
215	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
216	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
217	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
218	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
219	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
220	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
221	C₇×#121	C₂×C₄	1	1	yes	characteristic
222	C₇×#121	C₂×C₄	1	1	yes	characteristic
223	C₇×#121	C₂×C₄	1	2	yes	—
224	C₇×#121	C₂×C₄	1	2	yes	—
225	C₇×#121	C₂×C₄	1	1	yes	characteristic
226	C₇×#121	C₂×C₄	1	1	yes	characteristic
227	C₇×#121	C₂×C₄	1	2	yes	—
228	C₇×#121	C₂×C₄	1	2	yes	—
229	C₇×#121	C₂×C₄	1	2	yes	—
230	C₇×#121	C₂×C₄	1	2	yes	—
231	C₇×#121	C₂×C₄	1	2	yes	—
232	C₇×#121	C₂×C₄	1	2	yes	—
233	C₇×#121	C₂×C₄	1	2	yes	—
234	C₇×#121	C₂×C₄	1	2	yes	—
235	C₇×#120	C₂×C₄	1	2	yes	—
236	C₇×#120	C₂×C₄	1	2	yes	—
237	C₇×#120	C₂×C₄	1	2	yes	—
238	C₇×#120	C₂×C₄	1	2	yes	—
239	C₇×#120	C₂×C₄	1	2	yes	—
240	C₇×#120	C₂×C₄	1	2	yes	—
241	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
242	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
243	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
244	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
245	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
246	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
247	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
248	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
249	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
250	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
251	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
252	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
253	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
254	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
255	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
257	C₄×C₇×D₄	C₂³	1	2	yes	—
258	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
259	C₄×C₇×D₄	C₂³	1	2	yes	—
260	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
261	C₄×C₇×D₄	C₂³	1	2	yes	—
262	C₄×C₇×D₄	C₂³	1	2	yes	—
263	C₄×C₇×D₄	C₂³	1	2	yes	—
264	C₄×C₇×D₄	C₂³	1	2	yes	—
265	C₇×#117	C₂³	1	1	yes	characteristic
266	C₇×#117	C₂³	1	2	yes	—
267	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
268	C₂×C₇×C₄⋊C₄	C₂×C₄	1	2	yes	—
269	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
270	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
271	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	2	yes	—
272	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	2	yes	—
273	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
274	C₂×C₄²×C₇	C₂³	1	2	yes	—
275	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₇×C₄⋊C₈	C₂³	1	2	yes	—
280	C₇×C₄⋊C₈	C₂³	1	2	yes	—
281	C₇×C₄⋊C₈	C₂³	1	2	yes	—
282	C₇×C₄⋊C₈	C₂³	1	2	yes	—
283	C₇×C₄⋊C₈	C₂³	1	2	yes	—
284	C₇×C₄⋊C₈	C₂³	1	2	yes	—
285	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
288	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
290	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
292	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
293	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
294	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
295	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
296	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
297	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
298	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
300	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
301	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
302	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₇×#97	C₂³	1	1	yes	characteristic
314	C₇×#97	C₂³	1	1	yes	characteristic
315	C₇×#97	C₂³	1	1	yes	characteristic
316	C₇×#97	C₂³	1	1	yes	characteristic
317	C₇×#97	C₂³	1	2	yes	—
318	C₇×#97	C₂³	1	2	yes	—
319	C₇×#97	C₂³	1	2	yes	—
320	C₄×C₇×C₈	C₂³	1	2	yes	—
321	C₄×C₇×C₈	C₂³	1	2	yes	—
322	C₄×C₇×C₈	C₂³	1	2	yes	—
323	D₄×#41	C₂×C₇	1	1	yes	characteristic
324	#2981	C₂×C₇	1	2	yes	complemented
325	#2980	C₂×C₇	1	2	yes	complemented
326	#2978	C₂×C₇	1	2	yes	complemented
327	#2977	C₂×C₇	1	2	yes	complemented
328	#2976	C₂×C₇	1	2	yes	complemented
329	#2976	C₂×C₇	1	2	yes	complemented
330	#2974	C₂×C₇	1	2	yes	complemented
331	#2973	C₂×C₇	1	2	yes	complemented
332	#2935	C₂×C₇	1	1	yes	characteristic, complemented
333	D₄×M₁₆	C₂×C₇	1	1	yes	characteristic, complemented
334	#2933	C₂×C₇	1	1	yes	characteristic, complemented
335	#2933	C₂×C₇	1	1	yes	characteristic, complemented
336	#2932	C₂×C₇	1	1	yes	characteristic, complemented
337	#2930	C₂×C₇	1	1	yes	characteristic, complemented
338	#2929	C₂×C₇	1	1	yes	characteristic, complemented
339	C₂×#435	C₂×C₇	1	1	yes	characteristic, complemented
340	#2925	C₂×C₇	1	1	yes	characteristic, complemented
341	#2923	C₂×C₇	1	1	yes	characteristic, complemented
342	#2880	C₂×C₇	1	1	yes	characteristic, complemented
343	#2880	C₂×C₇	1	1	yes	characteristic, complemented
344	#2879	C₂×C₇	1	1	yes	characteristic, complemented
345	C₂×#408	C₂×C₇	1	1	yes	characteristic, complemented
346	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
347	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
348	C₂⁴×C₇	C₂²×C₄	1	2	yes	—
349	C₂⁴×C₇	C₂²×C₄	1	2	yes	—
350	C₇×#41	—	2	2	no	—
351	C₇×#41	—	2	2	no	—
352	C₇×#41	—	2	2	no	—
353	C₇×#41	—	2	2	no	—
354	C₇×#41	—	2	2	no	—
355	C₇×#41	—	2	2	no	—
356	C₇×#41	—	4	2	no	—
357	C₇×#41	—	4	2	no	—
358	C₇×#41	—	4	2	no	—
359	C₇×#41	—	4	2	no	—
360	C₇×#41	—	4	4	no	—
361	C₇×#41	—	4	4	no	—
362	C₇×#41	—	4	2	no	—
363	C₇×#41	—	4	2	no	—
364	C₇×#41	—	4	2	no	—
365	C₇×#41	—	4	2	no	—
366	C₂×C₇×Q₈	—	4	2	no	—
367	C₂×C₇×Q₈	—	4	2	no	—
368	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
369	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
370	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
371	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
372	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
373	C₂×C₇×D₄	—	4	2	no	—
374	C₂×C₇×D₄	—	4	2	no	—
375	C₂×C₇×D₄	—	4	2	no	—
376	C₂×C₇×D₄	—	4	4	no	—
377	C₂×C₇×D₄	—	4	4	no	—
378	C₂×C₇×D₄	—	4	4	no	—
379	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
380	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
381	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
382	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
383	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
384	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
385	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
386	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
387	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
388	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
389	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
390	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
391	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
392	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
393	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
394	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
395	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
396	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
397	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
398	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
399	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
400	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
401	C₂²×C₄×C₇	—	2	2	no	—
402	C₂²×C₄×C₇	—	2	2	no	—
403	C₂²×C₄×C₇	—	2	2	no	—
404	C₂²×C₄×C₇	—	2	2	no	—
405	C₂²×C₄×C₇	—	4	2	no	—
406	C₂²×C₄×C₇	—	4	2	no	—
407	C₂²×C₄×C₇	—	4	2	no	—
408	C₂²×C₄×C₇	—	4	2	no	—
409	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
412	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
413	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
414	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
415	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
416	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
417	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
418	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
419	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
420	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
421	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
422	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
423	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
424	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
425	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
426	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
430	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
431	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
433	C₇×M₁₆	—	2	2	no	—
434	C₇×M₁₆	—	2	2	no	—
435	C₇×M₁₆	—	2	2	no	—
436	C₇×M₁₆	—	2	2	no	—
437	C₇×M₁₆	—	4	1	no	—
438	C₇×M₁₆	—	4	1	no	—
439	C₇×M₁₆	—	4	1	no	—
440	C₇×M₁₆	—	4	1	no	—
441	C₇×M₁₆	—	4	2	no	—
442	C₇×M₁₆	—	4	2	no	—
443	C₇×M₁₆	—	4	2	no	—
444	C₇×M₁₆	—	4	2	no	—
445	C₇×M₁₆	—	4	2	no	—
446	C₇×M₁₆	—	4	2	no	—
447	C₂×C₇×C₈	—	2	2	no	—
448	C₂×C₇×C₈	—	2	2	no	—
449	C₂×C₇×C₈	—	2	2	no	—
450	C₂×C₇×C₈	—	2	2	no	—
451	C₂×C₇×C₈	—	4	1	no	—
452	C₂×C₇×C₈	—	4	1	no	—
453	C₂×C₇×C₈	—	4	1	no	—
454	C₂×C₇×C₈	—	4	1	no	—
455	C₂×C₇×C₈	—	4	2	no	—
456	C₂×C₇×C₈	—	4	2	no	—
457	C₂×C₇×C₈	—	4	2	no	—
458	C₂×C₇×C₈	—	4	2	no	—
459	C₂×C₇×C₈	—	4	2	no	—
460	C₂×C₇×C₈	—	4	2	no	—
461	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
462	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
463	C₂×C₇×C₈	C₂⁴	1	2	yes	—
464	C₂×C₇×C₈	C₂⁴	1	2	yes	—
465	C₂×C₇×C₈	C₂⁴	1	2	yes	—
466	C₂×C₇×C₈	C₂⁴	1	2	yes	—
467	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
468	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
469	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
470	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
471	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
472	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
473	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
474	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
475	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
476	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
477	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
478	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
479	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
480	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
481	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
482	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
483	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
484	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
485	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
486	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
487	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
488	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
489	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
490	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
491	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
492	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
493	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
494	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
495	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
496	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
497	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
498	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
500	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
501	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
502	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
503	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
504	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
505	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
506	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
507	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
508	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
509	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
510	C₄²×C₇	C₂²×C₄	1	2	yes	—
511	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
512	C₄²×C₇	C₂²×C₄	1	2	yes	—
513	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
514	C₄²×C₇	C₂⁴	1	1	yes	characteristic
515	C₄²×C₇	C₂⁴	1	2	yes	—
516	C₄²×C₇	C₂⁴	1	1	yes	characteristic
517	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
518	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
519	C₂×#131	C₂²×C₇	1	1	yes	characteristic, complemented
520	C₂×#131	C₂²×C₇	1	1	yes	characteristic, complemented
521	C₂×#131	C₂²×C₇	1	1	yes	characteristic, complemented
522	C₂×#131	C₂²×C₇	1	1	yes	characteristic, complemented
523	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
524	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
525	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
526	C₂³×C₈	C₂²×C₇	1	1	yes	characteristic, complemented
527	#550	C₄×C₇	1	1	yes	characteristic
528	D₄×Q₈	C₄×C₇	1	1	yes	characteristic
529	#548	C₄×C₇	1	1	yes	characteristic
530	#548	C₄×C₇	1	1	yes	characteristic
531	#547	C₄×C₇	1	2	yes	—
532	#547	C₄×C₇	1	1	yes	characteristic
533	#546	C₄×C₇	1	2	yes	—
534	#546	C₄×C₇	1	2	yes	—
535	#546	C₄×C₇	1	1	yes	characteristic
536	#546	C₄×C₇	1	1	yes	characteristic
537	D₄²	C₄×C₇	1	1	yes	characteristic
538	D₄²	C₄×C₇	1	2	yes	—
539	#532	C₂²×C₇	1	1	yes	characteristic
540	#532	C₂²×C₇	1	2	yes	—
541	#525	C₂²×C₇	1	1	yes	characteristic
542	#525	C₂²×C₇	1	1	yes	characteristic
543	#525	C₂²×C₇	1	2	yes	—
544	#525	C₂²×C₇	1	2	yes	—
545	C₄×#41	C₂²×C₇	1	1	yes	characteristic
546	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
547	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
548	#436	C₂²×C₇	1	2	yes	complemented
549	#436	C₂²×C₇	1	2	yes	complemented
550	#436	C₂²×C₇	1	2	yes	complemented
551	#436	C₂²×C₇	1	2	yes	complemented
552	#436	C₂²×C₇	1	2	yes	complemented
553	#436	C₂²×C₇	1	2	yes	complemented
554	#435	C₂²×C₇	1	1	yes	characteristic
555	#435	C₂²×C₇	1	1	yes	characteristic
556	#435	C₂²×C₇	1	2	yes	—
557	#435	C₂²×C₇	1	1	yes	characteristic, complemented
558	#435	C₂²×C₇	1	1	yes	characteristic, complemented
559	#435	C₂²×C₇	1	1	yes	characteristic, complemented
560	#435	C₂²×C₇	1	1	yes	characteristic, complemented
561	#435	C₂²×C₇	1	1	yes	characteristic, complemented
562	#435	C₂²×C₇	1	1	yes	characteristic, complemented
563	#435	C₂²×C₇	1	2	yes	complemented
564	#435	C₂²×C₇	1	2	yes	complemented
565	#435	C₂²×C₇	1	2	yes	complemented
566	#435	C₂²×C₇	1	2	yes	complemented
567	#435	C₂²×C₇	1	2	yes	complemented
568	#435	C₂²×C₇	1	2	yes	complemented
569	#435	C₂²×C₇	1	2	yes	complemented
570	#435	C₂²×C₇	1	2	yes	complemented
571	#435	C₂²×C₇	1	2	yes	complemented
572	#435	C₂²×C₇	1	2	yes	complemented
573	#435	C₂²×C₇	1	2	yes	complemented
574	#435	C₂²×C₇	1	2	yes	complemented
575	#435	C₂²×C₇	1	2	yes	complemented
576	#435	C₂²×C₇	1	2	yes	complemented
577	#435	C₂²×C₇	1	2	yes	complemented
578	C₈×D₄	C₂²×C₇	1	2	yes	complemented
579	C₈×D₄	C₂²×C₇	1	2	yes	complemented
580	C₈×D₄	C₂²×C₇	1	2	yes	complemented
581	C₈×D₄	C₂²×C₇	1	2	yes	complemented
582	C₈×D₄	C₂²×C₇	1	2	yes	complemented
583	C₈×D₄	C₂²×C₇	1	2	yes	complemented
584	#433	C₂²×C₇	1	2	yes	complemented
585	#433	C₂²×C₇	1	2	yes	complemented
586	#433	C₂²×C₇	1	2	yes	complemented
587	#433	C₂²×C₇	1	2	yes	complemented
588	#432	C₂²×C₇	1	2	yes	complemented
589	#432	C₂²×C₇	1	2	yes	complemented
590	#432	C₂²×C₇	1	2	yes	complemented
591	#431	C₂²×C₇	1	2	yes	complemented
592	#424	C₂²×C₇	1	1	yes	characteristic, complemented
593	#424	C₂²×C₇	1	1	yes	characteristic, complemented
594	#423	C₂²×C₇	1	1	yes	characteristic, complemented
595	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
596	#408	C₂²×C₇	1	1	yes	characteristic
597	#408	C₂²×C₇	1	1	yes	characteristic
598	#408	C₂²×C₇	1	1	yes	characteristic
599	#408	C₂²×C₇	1	1	yes	characteristic
600	#408	C₂²×C₇	1	1	yes	characteristic, complemented
601	#408	C₂²×C₇	1	1	yes	characteristic, complemented
602	#408	C₂²×C₇	1	2	yes	complemented
603	#408	C₂²×C₇	1	2	yes	complemented
604	#408	C₂²×C₇	1	1	yes	characteristic, complemented
605	#408	C₂²×C₇	1	1	yes	characteristic, complemented
606	#408	C₂²×C₇	1	2	yes	complemented
607	#408	C₂²×C₇	1	2	yes	complemented
608	#408	C₂²×C₇	1	2	yes	complemented
609	#408	C₂²×C₇	1	2	yes	complemented
610	#408	C₂²×C₇	1	2	yes	complemented
611	#408	C₂²×C₇	1	2	yes	complemented
612	#407	C₂²×C₇	1	2	yes	complemented
613	#407	C₂²×C₇	1	2	yes	complemented
614	#407	C₂²×C₇	1	1	yes	characteristic, complemented
615	#407	C₂²×C₇	1	1	yes	characteristic, complemented
616	#407	C₂²×C₇	1	2	yes	complemented
617	#407	C₂²×C₇	1	2	yes	complemented
618	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	complemented
619	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	complemented
620	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
621	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
622	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	complemented
623	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	complemented
624	#405	C₂²×C₇	1	1	yes	characteristic, complemented
625	#405	C₂²×C₇	1	1	yes	characteristic, complemented
626	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
627	C₂×#97	C₂²×C₇	1	1	yes	characteristic, complemented
628	C₂³×C₇	—	2	2	no	—
629	C₂³×C₇	—	2	2	no	—
630	C₂³×C₇	—	2	2	no	—
631	C₂³×C₇	—	2	4	no	—
632	C₂³×C₇	—	4	1	no	—
633	C₂³×C₇	—	4	2	no	—
634	C₂³×C₇	—	4	2	no	—
635	C₂³×C₇	—	4	1	no	—
636	C₂³×C₇	—	4	2	no	—
637	C₂³×C₇	—	4	1	no	—
638	C₂³×C₇	—	4	2	no	—
639	C₂³×C₇	—	4	2	no	—
640	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
641	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
642	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
643	C₂³×C₇	C₂³×C₄	1	2	yes	—
644	C₂³×C₇	C₂³×C₄	1	2	yes	—
645	C₂³×C₇	C₂³×C₄	1	2	yes	—
646	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
647	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
648	C₇×Q₈	—	2	2	no	—
649	C₇×Q₈	—	2	2	no	—
650	C₇×Q₈	—	2	2	no	—
651	C₇×Q₈	—	4	2	no	—
652	C₇×Q₈	—	4	2	no	—
653	C₇×D₄	—	2	4	no	—
654	C₇×D₄	—	2	4	no	—
655	C₇×D₄	—	2	4	no	—
656	C₇×D₄	—	2	2	no	—
657	C₇×D₄	—	2	2	no	—
658	C₇×D₄	—	2	4	no	—
659	C₇×D₄	—	2	2	no	—
660	C₇×D₄	—	2	2	no	—
661	C₇×D₄	—	2	2	no	—
662	C₇×D₄	—	4	1	no	—
663	C₇×D₄	—	4	2	no	—
664	C₇×D₄	—	4	1	no	—
665	C₇×D₄	—	4	2	no	—
666	C₇×D₄	—	4	2	no	—
667	C₇×D₄	—	4	2	no	—
668	C₇×D₄	—	4	2	no	—
669	C₇×D₄	—	4	2	no	—
670	C₇×D₄	—	4	2	no	—
671	C₇×D₄	—	4	2	no	—
672	C₇×D₄	—	4	2	no	—
673	C₇×D₄	—	4	2	no	—
674	C₇×D₄	—	4	2	no	—
675	C₂×C₄×C₇	—	2	2	no	—
676	C₂×C₄×C₇	—	2	2	no	—
677	C₂×C₄×C₇	—	2	2	no	—
678	C₂×C₄×C₇	—	2	2	no	—
679	C₂×C₄×C₇	—	2	2	no	—
680	C₂×C₄×C₇	—	2	2	no	—
681	C₂×C₄×C₇	—	2	1	no	—
682	C₂×C₄×C₇	—	2	1	no	—
683	C₂×C₄×C₇	—	2	1	no	—
684	C₂×C₄×C₇	—	2	1	no	—
685	C₂×C₄×C₇	—	2	2	no	—
686	C₂×C₄×C₇	—	2	2	no	—
687	C₂×C₄×C₇	—	2	2	no	—
688	C₂×C₄×C₇	—	2	2	no	—
689	C₂×C₄×C₇	—	2	1	no	—
690	C₂×C₄×C₇	—	2	1	no	—
691	C₂×C₄×C₇	—	2	1	no	—
692	C₂×C₄×C₇	—	2	1	no	—
693	C₂×C₄×C₇	—	2	2	no	—
694	C₂×C₄×C₇	—	2	2	no	—
695	C₂×C₄×C₇	—	4	2	no	—
696	C₂×C₄×C₇	—	4	2	no	—
697	C₂×C₄×C₇	—	4	2	no	—
698	C₂×C₄×C₇	—	4	2	no	—
699	C₂×C₄×C₇	—	4	2	no	—
700	C₂×C₄×C₇	—	4	2	no	—
701	C₂×C₄×C₇	—	4	1	no	—
702	C₂×C₄×C₇	—	4	2	no	—
703	C₂×C₄×C₇	—	4	1	no	—
704	C₂×C₄×C₇	—	4	2	no	—
705	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
706	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
707	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
708	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
709	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
710	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
711	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
712	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
713	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
714	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
715	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
716	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
717	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
718	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
720	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
721	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
722	C₇×C₈	—	2	1	no	—
723	C₇×C₈	—	2	1	no	—
724	C₇×C₈	—	2	1	no	—
725	C₇×C₈	—	2	1	no	—
726	C₇×C₈	—	2	1	no	—
727	C₇×C₈	—	2	1	no	—
728	C₇×C₈	—	2	1	no	—
729	C₇×C₈	—	2	1	no	—
730	C₇×C₈	—	2	2	no	—
731	C₇×C₈	—	2	2	no	—
732	C₇×C₈	—	2	2	no	—
733	C₇×C₈	—	2	2	no	—
734	C₂×#41	—	4	2	no	—
735	C₂×#41	—	4	2	no	—
736	C₂×#41	—	4	2	no	—
737	C₂×#41	—	4	2	no	—
738	C₂×#41	C₂×C₄×C₇	1	2	yes	—
739	C₂×#41	C₂×C₄×C₇	1	2	yes	—
740	C₂×#41	C₂×C₄×C₇	1	1	yes	characteristic
741	C₂×#41	C₂×C₄×C₇	1	1	yes	characteristic
742	C₂×#41	C₂×C₄×C₇	1	1	yes	characteristic
743	C₂×#41	C₂×C₄×C₇	1	1	yes	characteristic
744	C₂×#41	C₂³×C₇	1	1	yes	characteristic
745	C₂×#41	C₂³×C₇	1	1	yes	characteristic
746	C₂×#41	C₂³×C₇	1	1	yes	characteristic
747	C₂×#41	C₂³×C₇	1	2	yes	—
748	C₂×#41	C₂³×C₇	1	2	yes	—
749	C₂²×Q₈	C₂×C₄×C₇	1	1	yes	characteristic
750	C₂²×Q₈	C₂×C₄×C₇	1	1	yes	characteristic
751	C₂²×D₄	C₂×C₄×C₇	1	1	yes	characteristic
752	C₂²×D₄	C₂×C₄×C₇	1	2	yes	—
753	C₂²×D₄	C₂×C₄×C₇	1	1	yes	characteristic
754	C₂²×D₄	C₂×C₄×C₇	1	1	yes	characteristic
755	C₂²×D₄	C₂×C₄×C₇	1	2	yes	—
756	C₂²×D₄	C₂×C₄×C₇	1	2	yes	—
757	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
758	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
759	C₂³×C₄	C₂³×C₇	1	2	yes	—
760	C₂³×C₄	C₂³×C₇	1	2	yes	—
761	#131	—	4	2	no	—
762	#131	—	4	2	no	—
763	#131	—	4	2	no	—
764	#131	—	4	2	no	—
765	C₂×M₁₆	—	4	2	no	—
766	C₂×M₁₆	—	4	2	no	—
767	C₂×M₁₆	—	4	2	no	—
768	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
769	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
770	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
771	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
772	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
773	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
774	C₂×M₁₆	C₂³×C₇	1	2	yes	—
775	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
776	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
777	C₂×M₁₆	C₂³×C₇	1	2	yes	—
778	C₂×M₁₆	C₂³×C₇	1	2	yes	—
779	C₂×M₁₆	C₂³×C₇	1	2	yes	—
780	C₂×M₁₆	C₂³×C₇	1	2	yes	—
781	C₂×M₁₆	C₂³×C₇	1	2	yes	—
782	C₂²×C₈	—	4	2	no	—
783	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
784	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
785	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
786	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
787	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
788	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
789	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
790	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
791	C₂²×C₈	C₂³×C₇	1	2	yes	—
792	C₂²×C₈	C₂³×C₇	1	2	yes	—
793	C₂²×C₈	C₂³×C₇	1	2	yes	—
794	C₂²×C₈	C₂³×C₇	1	2	yes	—
795	C₂²×C₈	C₂³×C₇	1	2	yes	—
796	C₂²×C₈	C₂³×C₇	1	2	yes	—
797	C₄⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
798	C₄⋊Q₈	C₂×C₄×C₇	1	2	yes	—
799	#127	C₂×C₄×C₇	1	1	yes	characteristic
800	#127	C₂×C₄×C₇	1	2	yes	—
801	#124	C₂×C₄×C₇	1	1	yes	characteristic
802	#124	C₂×C₄×C₇	1	1	yes	characteristic
803	#124	C₂×C₄×C₇	1	2	yes	—
804	#124	C₂×C₄×C₇	1	2	yes	—
805	#123	C₂×C₄×C₇	1	2	yes	—
806	#123	C₂×C₄×C₇	1	2	yes	—
807	#123	C₂×C₄×C₇	1	2	yes	—
808	#123	C₂×C₄×C₇	1	2	yes	—
809	#123	C₂×C₄×C₇	1	2	yes	—
810	#123	C₂×C₄×C₇	1	2	yes	—
811	C₂²⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
812	C₂²⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
813	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
814	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
815	C₂²⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
816	C₂²⋊Q₈	C₂×C₄×C₇	1	1	yes	characteristic
817	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
818	C₂²⋊Q₈	C₂×C₄×C₇	1	2	yes	—
819	#121	C₂×C₄×C₇	1	1	yes	characteristic
820	#121	C₂×C₄×C₇	1	1	yes	characteristic
821	#121	C₂×C₄×C₇	1	2	yes	—
822	#121	C₂×C₄×C₇	1	2	yes	—
823	#121	C₂×C₄×C₇	1	1	yes	characteristic
824	#121	C₂×C₄×C₇	1	1	yes	characteristic
825	#121	C₂×C₄×C₇	1	2	yes	—
826	#121	C₂×C₄×C₇	1	2	yes	—
827	#121	C₂×C₄×C₇	1	2	yes	—
828	#121	C₂×C₄×C₇	1	2	yes	—
829	#121	C₂×C₄×C₇	1	2	yes	—
830	#121	C₂×C₄×C₇	1	2	yes	—
831	#121	C₂×C₄×C₇	1	2	yes	—
832	#121	C₂×C₄×C₇	1	2	yes	—
833	#120	C₂×C₄×C₇	1	2	yes	—
834	#120	C₂×C₄×C₇	1	2	yes	—
835	#120	C₂×C₄×C₇	1	2	yes	—
836	#120	C₂×C₄×C₇	1	2	yes	—
837	#120	C₂×C₄×C₇	1	2	yes	—
838	#120	C₂×C₄×C₇	1	2	yes	—
839	C₄×Q₈	C₂×C₄×C₇	1	1	yes	characteristic
840	C₄×Q₈	C₂×C₄×C₇	1	1	yes	characteristic
841	C₄×D₄	C₂×C₄×C₇	1	1	yes	characteristic
842	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
843	C₄×D₄	C₂×C₄×C₇	1	1	yes	characteristic
844	C₄×D₄	C₂×C₄×C₇	1	1	yes	characteristic
845	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
846	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
847	C₄×D₄	C₂×C₄×C₇	1	1	yes	characteristic
848	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
849	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
850	C₄×D₄	C₂×C₄×C₇	1	1	yes	characteristic
851	C₄×D₄	C₂×C₄×C₇	1	2	yes	—
852	C₄×D₄	C₂×C₄×C₇	1	1	yes	characteristic
853	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
854	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
855	C₄×D₄	C₂³×C₇	1	2	yes	—
856	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
857	C₄×D₄	C₂³×C₇	1	2	yes	—
858	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
859	C₄×D₄	C₂³×C₇	1	2	yes	—
860	C₄×D₄	C₂³×C₇	1	2	yes	—
861	C₄×D₄	C₂³×C₇	1	2	yes	—
862	C₄×D₄	C₂³×C₇	1	2	yes	—
863	#117	C₂³×C₇	1	1	yes	characteristic
864	#117	C₂³×C₇	1	2	yes	—
865	C₂×C₄⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂×C₄×C₇	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂×C₄×C₇	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂×C₄×C₇	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂×C₄×C₇	1	2	yes	—
871	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
872	C₂×C₄²	C₂³×C₇	1	2	yes	—
873	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
874	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
875	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
876	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
877	C₄⋊C₈	C₂³×C₇	1	2	yes	—
878	C₄⋊C₈	C₂³×C₇	1	2	yes	—
879	C₄⋊C₈	C₂³×C₇	1	2	yes	—
880	C₄⋊C₈	C₂³×C₇	1	2	yes	—
881	C₄⋊C₈	C₂³×C₇	1	2	yes	—
882	C₄⋊C₈	C₂³×C₇	1	2	yes	—
883	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
884	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
885	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
886	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
887	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
888	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
889	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
890	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
891	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
892	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
893	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
894	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
895	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
896	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
897	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
898	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
899	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
900	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
901	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
902	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
903	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
904	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
905	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
906	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
907	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
908	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
909	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
910	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
911	#97	C₂³×C₇	1	1	yes	characteristic
912	#97	C₂³×C₇	1	1	yes	characteristic
913	#97	C₂³×C₇	1	1	yes	characteristic
914	#97	C₂³×C₇	1	1	yes	characteristic
915	#97	C₂³×C₇	1	2	yes	—
916	#97	C₂³×C₇	1	2	yes	—
917	#97	C₂³×C₇	1	2	yes	—
918	C₄×C₈	C₂³×C₇	1	2	yes	—
919	C₄×C₈	C₂³×C₇	1	2	yes	—
920	C₄×C₈	C₂³×C₇	1	2	yes	—
921	C₂²×C₇	—	2	1	no	—
922	C₂²×C₇	—	2	1	no	—
923	C₂²×C₇	—	2	1	no	—
924	C₂²×C₇	—	2	1	no	—
925	C₂²×C₇	—	2	1	no	—
926	C₂²×C₇	—	2	1	no	—
927	C₂²×C₇	—	2	1	no	—
928	C₂²×C₇	—	2	2	no	—
929	C₂²×C₇	—	2	2	no	—
930	C₂²×C₇	—	2	2	no	—
931	C₂²×C₇	—	2	2	no	—
932	C₂²×C₇	—	2	1	no	—
933	C₂²×C₇	—	2	1	no	—
934	C₂²×C₇	—	2	2	no	—
935	C₂²×C₇	—	2	1	no	—
936	C₂²×C₇	—	2	2	no	—
937	C₂²×C₇	—	2	2	no	—
938	C₂²×C₇	—	2	1	no	—
939	C₂²×C₇	—	2	1	no	—
940	C₂²×C₇	—	2	2	no	—
941	C₂²×C₇	—	2	2	no	—
942	C₂²×C₇	—	2	1	no	—
943	C₂²×C₇	—	4	4	no	—
944	C₂²×C₇	—	8	4	no	—
945	C₂²×C₇	—	8	2	no	—
946	C₂²×C₇	—	8	4	no	—
947	C₂²×C₇	#518	1	2	yes	—
948	C₂²×C₇	#568	1	2	yes	—
949	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
950	C₄×C₇	—	2	1	no	—
951	C₄×C₇	—	2	1	no	—
952	C₄×C₇	—	2	1	no	—
953	C₄×C₇	—	2	1	no	—
954	C₄×C₇	—	2	2	no	—
955	C₄×C₇	—	2	2	no	—
956	C₄×C₇	—	2	2	no	—
957	C₄×C₇	—	2	1	no	—
958	C₄×C₇	—	2	1	no	—
959	C₄×C₇	—	2	2	no	—
960	C₄×C₇	—	2	1	no	—
961	C₄×C₇	—	2	1	no	—
962	C₄×C₇	—	2	2	no	—
963	C₄×C₇	#518	1	2	yes	—
964	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
965	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
966	C₂⁴	C₂²×C₄×C₇	1	1	yes	characteristic
967	C₂⁴	C₂²×C₄×C₇	1	1	yes	characteristic
968	C₂⁴	C₂²×C₄×C₇	1	2	yes	—
969	C₂⁴	C₂²×C₄×C₇	1	2	yes	—
970	#41	—	2	2	no	—
971	#41	—	2	2	no	—
972	#41	—	2	2	no	—
973	#41	—	2	2	no	—
974	#41	—	2	2	no	—
975	#41	—	2	2	no	—
976	#41	—	4	2	no	—
977	#41	—	4	2	no	—
978	#41	—	4	2	no	—
979	#41	—	4	2	no	—
980	#41	—	4	4	no	—
981	#41	—	4	4	no	—
982	#41	—	4	2	no	—
983	#41	—	4	2	no	—
984	#41	—	4	2	no	—
985	#41	—	4	2	no	—
986	C₂×Q₈	—	4	2	no	—
987	C₂×Q₈	—	4	2	no	—
988	C₂×Q₈	C₂²×C₄×C₇	1	1	yes	characteristic
989	C₂×Q₈	C₂²×C₄×C₇	1	1	yes	characteristic
990	C₂×Q₈	C₂²×C₄×C₇	1	1	yes	characteristic
991	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
992	C₂×Q₈	C₂²×C₄×C₇	1	2	yes	—
993	C₂×D₄	—	4	2	no	—
994	C₂×D₄	—	4	2	no	—
995	C₂×D₄	—	4	4	no	—
996	C₂×D₄	—	4	4	no	—
997	C₂×D₄	—	4	2	no	—
998	C₂×D₄	—	4	4	no	—
999	C₂×D₄	C₂²×C₄×C₇	1	1	yes	characteristic
1000	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1001	C₂×D₄	C₂²×C₄×C₇	1	1	yes	characteristic
1002	C₂×D₄	C₂²×C₄×C₇	1	1	yes	characteristic
1003	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1004	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1005	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1006	C₂×D₄	C₂²×C₄×C₇	1	1	yes	characteristic
1007	C₂×D₄	C₂²×C₄×C₇	1	1	yes	characteristic
1008	C₂×D₄	C₂²×C₄×C₇	1	1	yes	characteristic
1009	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1010	C₂×D₄	C₂²×C₄×C₇	1	1	yes	characteristic
1011	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1012	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1013	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1014	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1015	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1016	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1017	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1018	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1019	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1020	C₂×D₄	C₂²×C₄×C₇	1	2	yes	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	2	no	—
1023	C₂²×C₄	—	2	2	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	4	2	no	—
1026	C₂²×C₄	—	4	2	no	—
1027	C₂²×C₄	—	4	2	no	—
1028	C₂²×C₄	—	4	2	no	—
1029	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1030	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1031	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1032	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1033	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1034	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1035	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1036	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1037	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1038	C₂²×C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1040	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1041	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1042	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1043	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1044	C₂²×C₄	C₂²×C₄×C₇	1	2	yes	—
1045	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1046	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1050	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1051	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1053	M₁₆	—	2	2	no	—
1054	M₁₆	—	2	2	no	—
1055	M₁₆	—	2	2	no	—
1056	M₁₆	—	2	2	no	—
1057	M₁₆	—	4	1	no	—
1058	M₁₆	—	4	1	no	—
1059	M₁₆	—	4	1	no	—
1060	M₁₆	—	4	1	no	—
1061	M₁₆	—	4	2	no	—
1062	M₁₆	—	4	2	no	—
1063	M₁₆	—	4	2	no	—
1064	M₁₆	—	4	2	no	—
1065	M₁₆	—	4	2	no	—
1066	M₁₆	—	4	2	no	—
1067	C₂×C₈	—	2	2	no	—
1068	C₂×C₈	—	2	2	no	—
1069	C₂×C₈	—	2	2	no	—
1070	C₂×C₈	—	2	2	no	—
1071	C₂×C₈	—	4	1	no	—
1072	C₂×C₈	—	4	1	no	—
1073	C₂×C₈	—	4	1	no	—
1074	C₂×C₈	—	4	1	no	—
1075	C₂×C₈	—	4	2	no	—
1076	C₂×C₈	—	4	2	no	—
1077	C₂×C₈	—	4	2	no	—
1078	C₂×C₈	—	4	2	no	—
1079	C₂×C₈	—	4	2	no	—
1080	C₂×C₈	—	4	2	no	—
1081	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1082	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1083	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1084	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1085	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1086	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1087	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1088	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1089	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1090	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1091	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1092	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1093	C₄⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1094	C₄⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1095	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1096	C₄⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1097	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1098	C₄⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1099	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1100	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1101	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1102	C₄⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1103	C₄⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1104	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1105	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1106	C₄⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1107	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1108	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1109	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1110	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1111	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1112	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1113	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1114	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1115	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1116	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1117	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1118	C₂²⋊C₄	C₂²×C₄×C₇	1	1	yes	characteristic
1119	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1120	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1121	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1122	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1123	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1124	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1125	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1126	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1127	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1128	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1129	C₂²⋊C₄	C₂²×C₄×C₇	1	2	yes	—
1130	C₄²	C₂²×C₄×C₇	1	2	yes	—
1131	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
1132	C₄²	C₂²×C₄×C₇	1	2	yes	—
1133	C₄²	C₂²×C₄×C₇	1	1	yes	characteristic
1134	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1135	C₄²	C₂⁴×C₇	1	2	yes	—
1136	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1137	C₂×C₇	—	2	2	no	—
1138	C₂×C₇	—	2	2	no	—
1139	C₂×C₇	—	4	1	no	—
1140	C₂×C₇	—	4	1	no	—
1141	C₂×C₇	—	4	2	no	—
1142	C₂×C₇	—	4	2	no	—
1143	C₂×C₇	—	4	2	no	—
1144	C₂×C₇	—	4	1	no	—
1145	C₂×C₇	C₂×#518	1	1	yes	characteristic
1146	C₂×C₇	C₂×#568	1	1	yes	characteristic
1147	C₂×C₇	#3573	1	1	yes	characteristic
1148	C₂³	—	2	2	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	4	no	—
1152	C₂³	—	4	1	no	—
1153	C₂³	—	4	2	no	—
1154	C₂³	—	4	2	no	—
1155	C₂³	—	4	1	no	—
1156	C₂³	—	4	2	no	—
1157	C₂³	—	4	1	no	—
1158	C₂³	—	4	2	no	—
1159	C₂³	—	4	2	no	—
1160	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
1161	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
1162	C₂³	C₂³×C₄×C₇	1	2	yes	—
1163	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
1164	C₂³	C₂³×C₄×C₇	1	2	yes	—
1165	C₂³	C₂³×C₄×C₇	1	2	yes	—
1166	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
1167	C₂³	C₂³×C₄×C₇	1	1	yes	characteristic
1168	Q₈	—	2	2	no	—
1169	Q₈	—	2	2	no	—
1170	Q₈	—	2	2	no	—
1171	Q₈	—	4	2	no	—
1172	Q₈	—	4	2	no	—
1173	D₄	—	2	4	no	—
1174	D₄	—	2	4	no	—
1175	D₄	—	2	4	no	—
1176	D₄	—	2	2	no	—
1177	D₄	—	2	2	no	—
1178	D₄	—	2	4	no	—
1179	D₄	—	2	2	no	—
1180	D₄	—	2	2	no	—
1181	D₄	—	2	2	no	—
1182	D₄	—	4	1	no	—
1183	D₄	—	4	2	no	—
1184	D₄	—	4	1	no	—
1185	D₄	—	4	2	no	—
1186	D₄	—	4	2	no	—
1187	D₄	—	4	2	no	—
1188	D₄	—	4	2	no	—
1189	D₄	—	4	2	no	—
1190	D₄	—	4	2	no	—
1191	D₄	—	4	2	no	—
1192	D₄	—	4	2	no	—
1193	D₄	—	4	2	no	—
1194	D₄	—	4	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	4	2	no	—
1216	C₂×C₄	—	4	2	no	—
1217	C₂×C₄	—	4	2	no	—
1218	C₂×C₄	—	4	2	no	—
1219	C₂×C₄	—	4	2	no	—
1220	C₂×C₄	—	4	2	no	—
1221	C₂×C₄	—	4	1	no	—
1222	C₂×C₄	—	4	2	no	—
1223	C₂×C₄	—	4	1	no	—
1224	C₂×C₄	—	4	2	no	—
1225	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1226	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1227	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1228	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1229	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1230	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1231	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1232	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1233	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1234	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1235	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1236	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1237	C₂×C₄	C₂³×C₄×C₇	1	2	yes	—
1238	C₂×C₄	C₂³×C₄×C₇	1	1	yes	characteristic
1239	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1240	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1241	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1242	C₈	—	2	1	no	—
1243	C₈	—	2	1	no	—
1244	C₈	—	2	1	no	—
1245	C₈	—	2	1	no	—
1246	C₈	—	2	1	no	—
1247	C₈	—	2	1	no	—
1248	C₈	—	2	1	no	—
1249	C₈	—	2	1	no	—
1250	C₈	—	2	2	no	—
1251	C₈	—	2	2	no	—
1252	C₈	—	2	2	no	—
1253	C₈	—	2	2	no	—
1254	C₇	#60240	1	1	yes	characteristic, direct product factor, Sylow
1255	C₂²	—	2	1	no	—
1256	C₂²	—	2	1	no	—
1257	C₂²	—	2	1	no	—
1258	C₂²	—	2	1	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	2	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	2	2	no	—
1270	C₂²	—	2	1	no	—
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	1	no	—
1274	C₂²	—	2	2	no	—
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	4	4	no	—
1278	C₂²	—	8	4	no	—
1279	C₂²	—	8	2	no	—
1280	C₂²	—	8	4	no	—
1281	C₂²	C₇×#518	1	2	yes	—
1282	C₂²	C₇×#568	1	2	yes	—
1283	C₂²	C₂⁴×C₄×C₇	1	1	yes	characteristic
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	2	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	2	no	—
1290	C₄	—	2	1	no	—
1291	C₄	—	2	1	no	—
1292	C₄	—	2	1	no	—
1293	C₄	—	2	1	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	C₇×#518	1	2	yes	—
1298	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1299	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1300	C₂	—	2	2	no	—
1301	C₂	—	2	2	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	4	2	no	—
1305	C₂	—	4	1	no	—
1306	C₂	—	4	2	no	—
1307	C₂	—	4	2	no	—
1308	C₂	C₂×C₇×#518	1	1	yes	characteristic
1309	C₂	C₂×C₇×#568	1	1	yes	characteristic
1310	C₂	C₇×#3573	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₇
Frattini, cosocle	C₂×C₄	C₂⁵×C₇
socle	C₂²×C₇	C₂⁴×C₄
prime radical	C₇×D₄×#41	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇×#2981	C₂	semidirect
3. C₇×#2980	C₂	semidirect
4. C₇×#2978	C₂	semidirect
5. C₇×#2977	C₂	semidirect
6. C₇×#2976	C₂	semidirect
7. C₇×#2976	C₂	semidirect
8. C₇×#2974	C₂	semidirect
9. C₇×#2973	C₂	semidirect
10. C₇×#2935	C₂	semidirect
11. C₇×D₄×M₁₆	C₂	semidirect
12. C₇×#2933	C₂	semidirect
13. C₇×#2933	C₂	semidirect
14. C₇×#2932	C₂	semidirect
15. C₇×#2930	C₂	semidirect
16. C₇×#2929	C₂	semidirect
17. C₂×C₇×#435	C₂	semidirect
18. C₇×#2925	C₂	semidirect
19. C₇×#2923	C₂	semidirect
20. C₇×#2880	C₂	semidirect
21. C₇×#2880	C₂	semidirect
22. C₇×#2879	C₂	semidirect
23. C₂×C₇×#408	C₂	semidirect
26. C₂×C₇×#131	C₂²	semidirect
27. C₂×C₇×#131	C₂²	semidirect
28. C₂×C₇×#131	C₂²	semidirect
29. C₂×C₇×#131	C₂²	semidirect
30. C₂²×C₇×M₁₆	C₂²	semidirect
31. C₂²×C₇×M₁₆	C₂²	semidirect
32. C₂²×C₇×M₁₆	C₂²	semidirect
33. C₂³×C₇×C₈	C₂²	semidirect
55. C₇×#436	C₂²	semidirect
56. C₇×#436	C₂²	semidirect
57. C₇×#436	C₂²	semidirect
58. C₇×#436	C₂²	semidirect
59. C₇×#436	C₂²	semidirect
60. C₇×#436	C₂²	semidirect
64. C₇×#435	C₂²	semidirect
65. C₇×#435	C₂²	semidirect
66. C₇×#435	C₂²	semidirect
67. C₇×#435	C₂²	semidirect
68. C₇×#435	C₂²	semidirect
69. C₇×#435	C₂²	semidirect
70. C₇×#435	C₂²	semidirect
71. C₇×#435	C₂²	semidirect
72. C₇×#435	C₂²	semidirect
73. C₇×#435	C₂²	semidirect
74. C₇×#435	C₂²	semidirect
75. C₇×#435	C₂²	semidirect
76. C₇×#435	C₂²	semidirect
77. C₇×#435	C₂²	semidirect
78. C₇×#435	C₂²	semidirect
79. C₇×#435	C₂²	semidirect
80. C₇×#435	C₂²	semidirect
81. C₇×#435	C₂²	semidirect
82. C₇×#435	C₂²	semidirect
83. C₇×#435	C₂²	semidirect
84. C₇×#435	C₂²	semidirect
85. C₇×C₈×D₄	C₂²	semidirect
86. C₇×C₈×D₄	C₂²	semidirect
87. C₇×C₈×D₄	C₂²	semidirect
88. C₇×C₈×D₄	C₂²	semidirect
89. C₇×C₈×D₄	C₂²	semidirect
90. C₇×C₈×D₄	C₂²	semidirect
91. C₇×#433	C₂²	semidirect
92. C₇×#433	C₂²	semidirect
93. C₇×#433	C₂²	semidirect
94. C₇×#433	C₂²	semidirect
95. C₇×#432	C₂²	semidirect
96. C₇×#432	C₂²	semidirect
97. C₇×#432	C₂²	semidirect
98. C₇×#431	C₂²	semidirect
99. C₇×#424	C₂²	semidirect
100. C₇×#424	C₂²	semidirect
101. C₇×#423	C₂²	semidirect
102. C₂×C₇×C₄⋊C₈	C₂²	semidirect
107. C₇×#408	C₂²	semidirect
108. C₇×#408	C₂²	semidirect
109. C₇×#408	C₂²	semidirect
110. C₇×#408	C₂²	semidirect
111. C₇×#408	C₂²	semidirect
112. C₇×#408	C₂²	semidirect
113. C₇×#408	C₂²	semidirect
114. C₇×#408	C₂²	semidirect
115. C₇×#408	C₂²	semidirect
116. C₇×#408	C₂²	semidirect
117. C₇×#408	C₂²	semidirect
118. C₇×#408	C₂²	semidirect
119. C₇×#407	C₂²	semidirect
120. C₇×#407	C₂²	semidirect
121. C₇×#407	C₂²	semidirect
122. C₇×#407	C₂²	semidirect
123. C₇×#407	C₂²	semidirect
124. C₇×#407	C₂²	semidirect
125. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
126. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
127. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
128. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
129. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
130. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
131. C₇×#405	C₂²	semidirect
132. C₇×#405	C₂²	semidirect
133. C₄×C₇×M₁₆	C₂²	semidirect
134. C₂×C₇×#97	C₂²	semidirect
135. #60240	C₇	direct (N × H)
324. #2981	C₂×C₇	semidirect
325. #2980	C₂×C₇	semidirect
326. #2978	C₂×C₇	semidirect
327. #2977	C₂×C₇	semidirect
328. #2976	C₂×C₇	semidirect
329. #2976	C₂×C₇	semidirect
330. #2974	C₂×C₇	semidirect
331. #2973	C₂×C₇	semidirect
332. #2935	C₂×C₇	semidirect
333. D₄×M₁₆	C₂×C₇	semidirect
334. #2933	C₂×C₇	semidirect
335. #2933	C₂×C₇	semidirect
336. #2932	C₂×C₇	semidirect
337. #2930	C₂×C₇	semidirect
338. #2929	C₂×C₇	semidirect
339. C₂×#435	C₂×C₇	semidirect
340. #2925	C₂×C₇	semidirect
341. #2923	C₂×C₇	semidirect
342. #2880	C₂×C₇	semidirect
343. #2880	C₂×C₇	semidirect
344. #2879	C₂×C₇	semidirect
345. C₂×#408	C₂×C₇	semidirect
519. C₂×#131	C₂²×C₇	semidirect
520. C₂×#131	C₂²×C₇	semidirect
521. C₂×#131	C₂²×C₇	semidirect
522. C₂×#131	C₂²×C₇	semidirect
523. C₂²×M₁₆	C₂²×C₇	semidirect
524. C₂²×M₁₆	C₂²×C₇	semidirect
525. C₂²×M₁₆	C₂²×C₇	semidirect
526. C₂³×C₈	C₂²×C₇	semidirect
548. #436	C₂²×C₇	semidirect
549. #436	C₂²×C₇	semidirect
550. #436	C₂²×C₇	semidirect
551. #436	C₂²×C₇	semidirect
552. #436	C₂²×C₇	semidirect
553. #436	C₂²×C₇	semidirect
557. #435	C₂²×C₇	semidirect
558. #435	C₂²×C₇	semidirect
559. #435	C₂²×C₇	semidirect
560. #435	C₂²×C₇	semidirect
561. #435	C₂²×C₇	semidirect
562. #435	C₂²×C₇	semidirect
563. #435	C₂²×C₇	semidirect
564. #435	C₂²×C₇	semidirect
565. #435	C₂²×C₇	semidirect
566. #435	C₂²×C₇	semidirect
567. #435	C₂²×C₇	semidirect
568. #435	C₂²×C₇	semidirect
569. #435	C₂²×C₇	semidirect
570. #435	C₂²×C₇	semidirect
571. #435	C₂²×C₇	semidirect
572. #435	C₂²×C₇	semidirect
573. #435	C₂²×C₇	semidirect
574. #435	C₂²×C₇	semidirect
575. #435	C₂²×C₇	semidirect
576. #435	C₂²×C₇	semidirect
577. #435	C₂²×C₇	semidirect
578. C₈×D₄	C₂²×C₇	semidirect
579. C₈×D₄	C₂²×C₇	semidirect
580. C₈×D₄	C₂²×C₇	semidirect
581. C₈×D₄	C₂²×C₇	semidirect
582. C₈×D₄	C₂²×C₇	semidirect
583. C₈×D₄	C₂²×C₇	semidirect
584. #433	C₂²×C₇	semidirect
585. #433	C₂²×C₇	semidirect
586. #433	C₂²×C₇	semidirect
587. #433	C₂²×C₇	semidirect
588. #432	C₂²×C₇	semidirect
589. #432	C₂²×C₇	semidirect
590. #432	C₂²×C₇	semidirect
591. #431	C₂²×C₇	semidirect
592. #424	C₂²×C₇	semidirect
593. #424	C₂²×C₇	semidirect
594. #423	C₂²×C₇	semidirect
595. C₂×C₄⋊C₈	C₂²×C₇	semidirect
600. #408	C₂²×C₇	semidirect
601. #408	C₂²×C₇	semidirect
602. #408	C₂²×C₇	semidirect
603. #408	C₂²×C₇	semidirect
604. #408	C₂²×C₇	semidirect
605. #408	C₂²×C₇	semidirect
606. #408	C₂²×C₇	semidirect
607. #408	C₂²×C₇	semidirect
608. #408	C₂²×C₇	semidirect
609. #408	C₂²×C₇	semidirect
610. #408	C₂²×C₇	semidirect
611. #408	C₂²×C₇	semidirect
612. #407	C₂²×C₇	semidirect
613. #407	C₂²×C₇	semidirect
614. #407	C₂²×C₇	semidirect
615. #407	C₂²×C₇	semidirect
616. #407	C₂²×C₇	semidirect
617. #407	C₂²×C₇	semidirect
618. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
619. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
620. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
621. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
622. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
623. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
624. #405	C₂²×C₇	semidirect
625. #405	C₂²×C₇	semidirect
626. C₄×M₁₆	C₂²×C₇	semidirect
627. C₂×#97	C₂²×C₇	semidirect
1254. C₇	#60240	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×D₄×#41	2
C₇×#2981	2
C₇×#2980	2
C₇×#2978	2
C₇×#2977	2
C₇×#2976	2
C₇×#2974	2
C₇×#2973	2
C₇×#2935	2
C₇×D₄×M₁₆	2
C₇×#2933	2
C₇×#2932	2
C₇×#2930	2
C₇×#2929	2
C₂×C₇×#435	2
C₇×#2925	2
C₇×#2923	2
C₇×#2880	2
C₇×#2879	2
C₂×C₇×#408	2
#60240	7

Subgroups — C7×#60240 #13237456

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60240 #13237456