Subgroups — C₇×#62008 #13239224

Order 1792.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3320	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3312	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3307	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3300	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3298	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×D₄×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3267	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3266	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3221	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3218	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3042	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₇×#461	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#137	C₂²	1	1	yes	characteristic
33	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₇×#135	C₂²	1	1	yes	characteristic
35	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
36	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
37	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
38	C₇×#563	—	2	1	no	—
39	C₇×#563	—	2	1	no	—
40	C₇×#559	C₂²	1	1	yes	characteristic
41	C₇×#557	C₂²	1	1	yes	characteristic, complemented
42	C₇×#556	C₂²	1	1	yes	characteristic, complemented
43	C₇×#554	—	2	1	no	—
44	C₇×#554	C₂²	1	1	yes	characteristic
45	C₇×#553	—	2	1	no	—
46	C₇×#553	—	2	1	no	—
47	C₇×#553	C₂²	1	1	yes	characteristic
48	C₇×#552	C₂²	1	1	yes	characteristic
49	C₇×#551	—	2	1	no	—
50	C₇×#551	—	2	1	no	—
51	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
52	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₇×#548	C₂²	1	1	yes	characteristic
55	C₇×#548	C₂²	1	1	yes	characteristic, complemented
56	C₇×#547	C₂²	1	1	yes	characteristic
57	C₇×#547	C₂²	1	1	yes	characteristic, complemented
58	C₇×#546	—	2	1	no	—
59	C₇×#546	C₂²	1	1	yes	characteristic
60	C₇×#546	C₂²	1	1	yes	characteristic
61	C₇×D₄²	C₂²	1	1	yes	characteristic
62	C₇×#544	—	2	1	no	—
63	C₇×#542	—	2	1	no	—
64	C₇×#542	C₂²	1	1	yes	characteristic
65	C₇×#541	C₂²	1	1	yes	characteristic, complemented
66	C₇×#541	C₂²	1	1	yes	characteristic, complemented
67	C₇×#540	C₂²	1	1	yes	characteristic
68	C₇×#539	—	2	1	no	—
69	C₇×#539	—	2	1	no	—
70	C₇×#539	—	2	1	no	—
71	C₇×#538	—	2	1	no	—
72	C₇×#536	C₂²	1	1	yes	characteristic, complemented
73	C₇×#536	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
75	C₇×#529	C₂²	1	1	yes	characteristic
76	C₇×#529	C₂²	1	1	yes	characteristic
77	C₇×#529	C₂²	1	1	yes	characteristic, complemented
78	C₇×#525	—	2	1	no	—
79	C₂×C₇×#123	—	2	1	no	—
80	C₇×#520	C₂²	1	1	yes	characteristic
81	C₇×#518	C₂²	1	1	yes	characteristic
82	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
83	C₇×#497	C₂²	1	1	yes	characteristic, complemented
84	C₇×#497	C₂²	1	1	yes	characteristic, complemented
85	C₇×#497	C₂²	1	1	yes	characteristic, complemented
86	C₇×#496	C₂²	1	1	yes	characteristic
87	C₇×#495	C₂²	1	1	yes	characteristic, complemented
88	C₇×#492	C₂²	1	1	yes	characteristic
89	C₇×#491	C₂²	1	1	yes	characteristic, complemented
90	C₇×#491	C₂²	1	1	yes	characteristic, complemented
91	C₇×#491	C₂²	1	1	yes	characteristic, complemented
92	C₇×#489	C₂²	1	1	yes	characteristic, complemented
93	C₇×#488	C₂²	1	1	yes	characteristic, complemented
94	C₇×#487	C₂²	1	1	yes	characteristic, complemented
95	C₇×#485	C₂²	1	1	yes	characteristic, complemented
96	C₇×#485	C₂²	1	1	yes	characteristic, complemented
97	C₇×#484	C₂²	1	1	yes	characteristic, complemented
98	C₇×#483	C₂²	1	1	yes	characteristic, complemented
99	C₇×#483	C₂²	1	1	yes	characteristic, complemented
100	C₇×#480	C₂²	1	1	yes	characteristic, complemented
101	C₇×#479	C₂²	1	1	yes	characteristic, complemented
102	C₇×#479	C₂²	1	1	yes	characteristic, complemented
103	C₇×#479	C₂²	1	1	yes	characteristic, complemented
104	C₇×#479	C₂²	1	1	yes	characteristic, complemented
105	C₇×#478	C₂²	1	1	yes	characteristic
106	C₇×#478	C₂²	1	1	yes	characteristic, complemented
107	C₇×#478	C₂²	1	1	yes	characteristic, complemented
108	C₇×#478	C₂²	1	1	yes	characteristic, complemented
109	C₇×#477	C₂²	1	1	yes	characteristic, complemented
110	C₇×#475	C₂²	1	1	yes	characteristic, complemented
111	C₇×#470	C₂²	1	1	yes	characteristic, complemented
112	C₇×#468	C₂²	1	1	yes	characteristic
113	C₇×#468	C₂²	1	1	yes	characteristic, complemented
114	C₇×#468	C₂²	1	1	yes	characteristic, complemented
115	C₇×#467	C₂²	1	1	yes	characteristic, complemented
116	C₇×#467	C₂²	1	1	yes	characteristic, complemented
117	C₇×#466	C₂²	1	1	yes	characteristic
118	C₇×#465	C₂²	1	1	yes	characteristic
119	C₇×#465	C₂²	1	1	yes	characteristic
120	C₇×#465	C₂²	1	1	yes	characteristic, complemented
121	C₇×#465	C₂²	1	1	yes	characteristic, complemented
122	C₇×#465	C₂²	1	1	yes	characteristic, complemented
123	C₇×#464	C₂²	1	1	yes	characteristic, complemented
124	C₇×#464	C₂²	1	1	yes	characteristic, complemented
125	C₇×#464	C₂²	1	1	yes	characteristic, complemented
126	C₇×#464	C₂²	1	1	yes	characteristic, complemented
127	C₇×#464	C₂²	1	1	yes	characteristic, complemented
128	C₇×#463	C₂²	1	1	yes	characteristic
129	C₇×#463	C₂²	1	1	yes	characteristic
130	C₇×#463	C₂²	1	1	yes	characteristic
131	C₇×#463	C₂²	1	1	yes	characteristic, complemented
132	C₇×#463	C₂²	1	1	yes	characteristic, complemented
133	C₇×#463	C₂²	1	1	yes	characteristic, complemented
134	C₇×#463	C₂²	1	1	yes	characteristic, complemented
135	C₇×#462	C₂²	1	1	yes	characteristic, complemented
136	C₇×#462	C₂²	1	1	yes	characteristic, complemented
137	C₇×#462	C₂²	1	1	yes	characteristic, complemented
138	C₇×#461	C₂²	1	1	yes	characteristic
139	C₇×#461	C₂²	1	1	yes	characteristic
140	C₇×#461	C₂²	1	1	yes	characteristic
141	C₇×#461	C₂²	1	1	yes	characteristic
142	C₇×#461	C₂²	1	1	yes	characteristic
143	C₇×#461	C₂²	1	1	yes	characteristic
144	C₇×#461	C₂²	1	1	yes	characteristic, complemented
145	C₇×#461	C₂²	1	1	yes	characteristic, complemented
146	C₇×#461	C₂²	1	1	yes	characteristic, complemented
147	C₇×#461	C₂²	1	1	yes	characteristic, complemented
148	C₇×#461	C₂²	1	1	yes	characteristic, complemented
149	C₇×#461	C₂²	1	1	yes	characteristic, complemented
150	C₇×#461	C₂²	1	1	yes	characteristic, complemented
151	C₇×#460	C₂²	1	1	yes	characteristic
152	C₇×#460	C₂²	1	1	yes	characteristic
153	C₇×#452	C₂²	1	1	yes	characteristic
154	C₇×#452	C₂²	1	1	yes	characteristic
155	C₇×#452	C₂²	1	1	yes	characteristic, complemented
156	C₇×#451	C₂²	1	1	yes	characteristic, complemented
157	C₇×#451	C₂²	1	1	yes	characteristic, complemented
158	C₇×#451	C₂²	1	1	yes	characteristic, complemented
159	C₇×#450	C₂²	1	1	yes	characteristic
160	C₇×#450	C₂²	1	1	yes	characteristic
161	C₇×#450	C₂²	1	1	yes	characteristic
162	C₇×#449	C₂²	1	1	yes	characteristic
163	C₇×#449	C₂²	1	1	yes	characteristic, complemented
164	C₇×#449	C₂²	1	1	yes	characteristic, complemented
165	C₇×#448	C₂²	1	1	yes	characteristic
166	C₇×#448	C₂²	1	1	yes	characteristic
167	C₇×#448	C₂²	1	1	yes	characteristic
168	C₇×#448	C₂²	1	1	yes	characteristic, complemented
169	C₇×#448	C₂²	1	1	yes	characteristic, complemented
170	C₇×#447	C₂²	1	1	yes	characteristic
171	C₇×#446	C₂²	1	1	yes	characteristic, complemented
172	C₇×#446	C₂²	1	1	yes	characteristic, complemented
173	C₇×#442	C₂²	1	1	yes	characteristic
174	C₇×#442	C₂²	1	1	yes	characteristic, complemented
175	C₇×#441	C₂²	1	1	yes	characteristic, complemented
176	C₇×#440	C₂²	1	1	yes	characteristic
177	C₇×#440	C₂²	1	1	yes	characteristic
178	C₇×#440	C₂²	1	1	yes	characteristic
179	C₇×#440	C₂²	1	1	yes	characteristic, complemented
180	C₇×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
183	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
184	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
185	C₇×#435	C₂²	1	1	yes	characteristic
186	C₇×#435	C₂²	1	1	yes	characteristic, complemented
187	C₇×#435	C₂²	1	1	yes	characteristic, complemented
188	C₇×#435	C₂²	1	1	yes	characteristic, complemented
189	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
190	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
191	C₇×#433	C₂²	1	1	yes	characteristic, complemented
192	C₇×#433	C₂²	1	1	yes	characteristic, complemented
193	C₇×#432	C₂²	1	1	yes	characteristic, complemented
194	C₇×#424	C₂²	1	1	yes	characteristic, complemented
195	C₇×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₇×#419	C₂²	1	1	yes	characteristic, complemented
198	C₇×#417	C₂²	1	1	yes	characteristic, complemented
199	C₇×#416	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
203	#62008	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂×C₇×#41	C₂³	1	1	yes	characteristic
207	C₂×C₇×#41	C₂³	1	1	yes	characteristic
208	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
210	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
211	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
212	C₂²×C₇×D₄	—	2	1	no	—
213	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
214	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₇	—	2	1	no	—
216	C₇×#137	—	4	2	no	—
217	C₇×AGL(1,ℤ/8)	—	4	2	no	—
218	C₇×#135	—	4	2	no	—
219	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₇×SD₁₆	—	4	2	no	—
225	C₂×C₇×SD₁₆	—	4	2	no	—
226	C₂×C₇×SD₁₆	—	4	2	no	—
227	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
246	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
248	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
249	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
250	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
251	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
252	C₇×C₄⋊Q₈	—	2	1	no	—
253	C₇×C₄⋊Q₈	—	2	1	no	—
254	C₇×C₄⋊Q₈	—	2	1	no	—
255	C₇×C₄⋊Q₈	—	2	1	no	—
256	C₇×C₄⋊Q₈	—	2	1	no	—
257	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
258	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
259	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
260	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
261	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
262	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
263	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
264	C₇×#127	C₂³	1	1	yes	characteristic
265	C₇×#126	—	2	1	no	—
266	C₇×#126	—	2	1	no	—
267	C₇×#126	—	2	1	no	—
268	C₇×#126	—	2	1	no	—
269	C₇×#126	—	2	1	no	—
270	C₇×#126	—	2	1	no	—
271	C₇×#126	—	2	1	no	—
272	C₇×#126	—	2	1	no	—
273	C₇×#126	—	2	1	no	—
274	C₇×#126	—	2	1	no	—
275	C₇×#126	—	2	1	no	—
276	C₇×#126	D₄	1	1	yes	characteristic
277	C₇×#126	D₄	1	1	yes	characteristic
278	C₇×#125	—	2	1	no	—
279	C₇×#125	—	2	1	no	—
280	C₇×#125	—	2	1	no	—
281	C₇×#125	—	2	1	no	—
282	C₇×#125	—	2	1	no	—
283	C₇×#125	—	2	1	no	—
284	C₇×#125	—	2	1	no	—
285	C₇×#125	—	2	1	no	—
286	C₇×#125	D₄	1	1	yes	characteristic
287	C₇×#125	C₂³	1	1	yes	characteristic
288	C₇×#125	C₂³	1	1	yes	characteristic
289	C₇×#125	C₂³	1	1	yes	characteristic
290	C₇×#124	—	2	1	no	—
291	C₇×#124	—	2	1	no	—
292	C₇×#124	—	2	1	no	—
293	C₇×#124	—	2	1	no	—
294	C₇×#124	D₄	1	1	yes	characteristic
295	C₇×#124	C₂³	1	1	yes	characteristic
296	C₇×#124	C₂³	1	1	yes	characteristic
297	C₇×#124	C₂³	1	1	yes	characteristic
298	C₇×#124	C₂³	1	1	yes	characteristic
299	C₇×#124	C₂³	1	1	yes	characteristic
300	C₇×#123	—	2	1	no	—
301	C₇×#123	—	2	1	no	—
302	C₇×#123	—	2	1	no	—
303	C₇×#123	—	2	1	no	—
304	C₇×#123	—	2	1	no	—
305	C₇×#123	—	2	1	no	—
306	C₇×#123	—	2	1	no	—
307	C₇×#123	—	2	1	no	—
308	C₇×#123	—	2	1	no	—
309	C₇×#123	—	2	1	no	—
310	C₇×#123	—	2	1	no	—
311	C₇×#123	—	2	1	no	—
312	C₇×#123	—	2	1	no	—
313	C₇×#123	—	2	1	no	—
314	C₇×#123	—	2	1	no	—
315	C₇×#123	—	2	1	no	—
316	C₇×#123	—	2	1	no	—
317	C₇×#123	—	2	1	no	—
318	C₇×#123	—	2	1	no	—
319	C₇×#123	D₄	1	1	yes	characteristic
320	C₇×#123	D₄	1	1	yes	characteristic
321	C₇×C₂²⋊Q₈	—	2	1	no	—
322	C₇×C₂²⋊Q₈	—	2	1	no	—
323	C₇×C₂²⋊Q₈	—	2	1	no	—
324	C₇×C₂²⋊Q₈	—	2	1	no	—
325	C₇×C₂²⋊Q₈	—	2	1	no	—
326	C₇×C₂²⋊Q₈	—	2	1	no	—
327	C₇×C₂²⋊Q₈	—	2	1	no	—
328	C₇×C₂²⋊Q₈	—	2	1	no	—
329	C₇×C₂²⋊Q₈	—	2	1	no	—
330	C₇×C₂²⋊Q₈	—	2	1	no	—
331	C₇×C₂²⋊Q₈	—	2	1	no	—
332	C₇×C₂²⋊Q₈	—	2	1	no	—
333	C₇×C₂²⋊Q₈	—	2	1	no	—
334	C₇×C₂²⋊Q₈	—	2	1	no	—
335	C₇×C₂²⋊Q₈	—	2	1	no	—
336	C₇×C₂²⋊Q₈	—	2	1	no	—
337	C₇×C₂²⋊Q₈	—	2	1	no	—
338	C₇×C₂²⋊Q₈	—	2	1	no	—
339	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
340	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
347	C₇×#121	—	2	1	no	—
348	C₇×#121	—	2	1	no	—
349	C₇×#121	—	2	1	no	—
350	C₇×#121	—	2	1	no	—
351	C₇×#121	—	2	1	no	—
352	C₇×#121	—	2	1	no	—
353	C₇×#121	—	2	1	no	—
354	C₇×#121	—	2	1	no	—
355	C₇×#121	—	2	1	no	—
356	C₇×#121	D₄	1	1	yes	characteristic
357	C₇×#121	C₂³	1	1	yes	characteristic
358	C₇×#121	C₂³	1	1	yes	characteristic
359	C₇×#121	C₂³	1	1	yes	characteristic
360	C₇×#121	C₂³	1	1	yes	characteristic
361	C₇×#121	C₂³	1	1	yes	characteristic
362	C₇×#120	—	2	1	no	—
363	C₇×#120	—	2	1	no	—
364	C₇×#120	—	2	1	no	—
365	C₇×#120	—	2	1	no	—
366	C₄×C₇×Q₈	—	2	1	no	—
367	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
368	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
369	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
370	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
371	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
372	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
373	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
374	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
375	C₄×C₇×D₄	—	2	1	no	—
376	C₄×C₇×D₄	—	2	1	no	—
377	C₄×C₇×D₄	—	2	1	no	—
378	C₄×C₇×D₄	—	2	1	no	—
379	C₄×C₇×D₄	—	2	1	no	—
380	C₄×C₇×D₄	—	2	1	no	—
381	C₄×C₇×D₄	—	2	1	no	—
382	C₄×C₇×D₄	—	2	1	no	—
383	C₄×C₇×D₄	—	2	1	no	—
384	C₄×C₇×D₄	—	2	1	no	—
385	C₄×C₇×D₄	—	2	1	no	—
386	C₄×C₇×D₄	—	2	1	no	—
387	C₄×C₇×D₄	—	2	1	no	—
388	C₄×C₇×D₄	—	2	1	no	—
389	C₄×C₇×D₄	—	2	1	no	—
390	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
391	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
392	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
393	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
394	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
395	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
396	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
397	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
398	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
399	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
400	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
401	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
402	C₇×#117	—	2	1	no	—
403	C₇×#117	—	2	1	no	—
404	C₇×#117	—	2	1	no	—
405	C₇×#117	—	2	1	no	—
406	C₇×#117	—	2	1	no	—
407	C₇×#117	C₂³	1	1	yes	characteristic
408	C₇×#117	C₂³	1	1	yes	characteristic
409	C₇×#117	C₂³	1	1	yes	characteristic
410	C₂×C₇×C₄⋊C₄	—	2	1	no	—
411	C₂×C₇×C₄⋊C₄	—	2	1	no	—
412	C₂×C₇×C₄⋊C₄	—	2	1	no	—
413	C₂×C₇×C₄⋊C₄	—	2	1	no	—
414	C₂×C₇×C₄⋊C₄	—	2	1	no	—
415	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
416	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
417	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
418	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
419	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
420	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
421	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
422	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
423	C₇×#107	C₂³	1	1	yes	characteristic
424	C₇×#107	C₂³	1	1	yes	characteristic
425	C₇×#107	C₂³	1	1	yes	characteristic
426	C₇×#107	C₂³	1	1	yes	characteristic
427	C₇×#106	C₂³	1	1	yes	characteristic
428	C₇×#106	C₂³	1	1	yes	characteristic
429	C₇×#106	C₂³	1	1	yes	characteristic
430	C₇×#106	C₂³	1	1	yes	characteristic
431	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#103	C₂³	1	1	yes	characteristic
448	C₇×#103	C₂³	1	1	yes	characteristic
449	C₇×#103	C₂³	1	1	yes	characteristic
450	C₇×#103	C₂³	1	1	yes	characteristic
451	C₇×#103	C₂³	1	1	yes	characteristic
452	C₇×#103	C₂³	1	1	yes	characteristic
453	C₇×#103	C₂³	1	1	yes	characteristic
454	C₇×#103	C₂³	1	1	yes	characteristic
455	C₇×#103	C₂³	1	1	yes	characteristic
456	C₇×#103	C₂³	1	1	yes	characteristic
457	C₇×#103	C₂³	1	1	yes	characteristic
458	C₇×#103	C₂³	1	1	yes	characteristic
459	C₇×#103	C₂³	1	1	yes	characteristic
460	C₇×#103	C₂³	1	1	yes	characteristic
461	C₇×#103	C₂³	1	1	yes	characteristic
462	C₇×#103	C₂³	1	1	yes	characteristic
463	C₇×#102	C₂³	1	1	yes	characteristic
464	C₇×#102	C₂³	1	1	yes	characteristic
465	C₇×#102	C₂³	1	1	yes	characteristic
466	C₇×#102	C₂³	1	1	yes	characteristic
467	C₇×#102	C₂³	1	1	yes	characteristic
468	C₇×#102	C₂³	1	1	yes	characteristic
469	C₇×#102	C₂³	1	1	yes	characteristic
470	C₇×#102	C₂³	1	1	yes	characteristic
471	C₇×#102	C₂³	1	1	yes	characteristic
472	C₇×#102	C₂³	1	1	yes	characteristic
473	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₇×#97	C₂³	1	1	yes	characteristic
480	C₇×#97	C₂³	1	1	yes	characteristic
481	C₇×#97	C₂³	1	1	yes	characteristic
482	C₇×#97	C₂³	1	1	yes	characteristic
483	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
485	#3552	C₂×C₇	1	1	yes	characteristic, complemented
486	#3513	C₂×C₇	1	1	yes	characteristic, complemented
487	#3401	C₂×C₇	1	1	yes	characteristic, complemented
488	#3400	C₂×C₇	1	1	yes	characteristic, complemented
489	#3376	C₂×C₇	1	1	yes	characteristic, complemented
490	#3372	C₂×C₇	1	1	yes	characteristic, complemented
491	#3320	C₂×C₇	1	1	yes	characteristic, complemented
492	#3312	C₂×C₇	1	1	yes	characteristic, complemented
493	#3308	C₂×C₇	1	1	yes	characteristic, complemented
494	#3307	C₂×C₇	1	1	yes	characteristic, complemented
495	#3300	C₂×C₇	1	1	yes	characteristic, complemented
496	#3298	C₂×C₇	1	1	yes	characteristic, complemented
497	#3282	C₂×C₇	1	1	yes	characteristic, complemented
498	D₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
499	#3267	C₂×C₇	1	1	yes	characteristic, complemented
500	#3266	C₂×C₇	1	1	yes	characteristic, complemented
501	#3266	C₂×C₇	1	1	yes	characteristic, complemented
502	#3265	C₂×C₇	1	1	yes	characteristic, complemented
503	#3260	C₂×C₇	1	1	yes	characteristic, complemented
504	#3258	C₂×C₇	1	1	yes	characteristic, complemented
505	#3250	C₂×C₇	1	1	yes	characteristic, complemented
506	#3225	C₂×C₇	1	1	yes	characteristic, complemented
507	#3221	C₂×C₇	1	1	yes	characteristic, complemented
508	#3218	C₂×C₇	1	1	yes	characteristic, complemented
509	#3123	C₂×C₇	1	1	yes	characteristic, complemented
510	#3120	C₂×C₇	1	1	yes	characteristic, complemented
511	#3114	C₂×C₇	1	1	yes	characteristic, complemented
512	#3046	C₂×C₇	1	1	yes	characteristic, complemented
513	#3042	C₂×C₇	1	1	yes	characteristic, complemented
514	C₂×#461	C₂×C₇	1	1	yes	characteristic, complemented
515	#2992	C₂×C₇	1	1	yes	characteristic, complemented
516	C₂⁴×C₇	—	2	1	no	—
517	C₂⁴×C₇	—	2	1	no	—
518	C₇×#41	—	2	2	no	—
519	C₇×#41	—	4	1	no	—
520	C₇×#41	—	4	1	no	—
521	C₇×#41	—	4	1	no	—
522	C₇×#41	—	4	1	no	—
523	C₇×#41	—	4	1	no	—
524	C₇×#41	—	8	2	no	—
525	C₂×C₇×Q₈	—	2	1	no	—
526	C₂×C₇×Q₈	—	2	1	no	—
527	C₂×C₇×Q₈	—	2	1	no	—
528	C₂×C₇×Q₈	—	2	1	no	—
529	C₂×C₇×Q₈	—	2	1	no	—
530	C₂×C₇×Q₈	—	4	1	no	—
531	C₂×C₇×Q₈	—	4	1	no	—
532	C₂×C₇×Q₈	—	4	1	no	—
533	C₂×C₇×Q₈	—	4	1	no	—
534	C₂×C₇×Q₈	—	4	1	no	—
535	C₂×C₇×Q₈	—	4	1	no	—
536	C₂×C₇×Q₈	—	4	1	no	—
537	C₂×C₇×Q₈	—	4	1	no	—
538	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
539	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
540	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
541	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
542	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
543	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
544	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
545	C₂×C₇×D₄	—	2	2	no	—
546	C₂×C₇×D₄	—	2	2	no	—
547	C₂×C₇×D₄	—	2	1	no	—
548	C₂×C₇×D₄	—	2	1	no	—
549	C₂×C₇×D₄	—	2	1	no	—
550	C₂×C₇×D₄	—	2	1	no	—
551	C₂×C₇×D₄	—	2	1	no	—
552	C₂×C₇×D₄	—	2	1	no	—
553	C₂×C₇×D₄	—	2	1	no	—
554	C₂×C₇×D₄	—	2	1	no	—
555	C₂×C₇×D₄	—	2	1	no	—
556	C₂×C₇×D₄	—	2	1	no	—
557	C₂×C₇×D₄	—	2	1	no	—
558	C₂×C₇×D₄	—	2	1	no	—
559	C₂×C₇×D₄	—	4	1	no	—
560	C₂×C₇×D₄	—	4	1	no	—
561	C₂×C₇×D₄	—	8	2	no	—
562	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
563	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
564	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
565	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
566	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
567	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
568	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₇	—	2	1	no	—
570	C₂²×C₄×C₇	—	2	1	no	—
571	C₂²×C₄×C₇	—	2	1	no	—
572	C₂²×C₄×C₇	—	2	1	no	—
573	C₂²×C₄×C₇	—	2	1	no	—
574	C₂²×C₄×C₇	—	2	1	no	—
575	C₂²×C₄×C₇	—	2	1	no	—
576	C₂²×C₄×C₇	—	2	1	no	—
577	C₂²×C₄×C₇	—	2	1	no	—
578	C₂²×C₄×C₇	—	2	1	no	—
579	C₂²×C₄×C₇	—	2	1	no	—
580	C₂²×C₄×C₇	—	2	1	no	—
581	C₂²×C₄×C₇	—	2	1	no	—
582	C₂²×C₄×C₇	—	2	1	no	—
583	C₂²×C₄×C₇	—	2	1	no	—
584	C₂²×C₄×C₇	—	2	1	no	—
585	C₂²×C₄×C₇	—	2	1	no	—
586	C₂²×C₄×C₇	—	2	1	no	—
587	C₂²×C₄×C₇	—	8	2	no	—
588	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
589	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
590	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
593	C₇×Q₁₆	—	4	1	no	—
594	C₇×Q₁₆	—	4	1	no	—
595	C₇×Q₁₆	—	4	1	no	—
596	C₇×Q₁₆	—	4	1	no	—
597	C₇×Q₁₆	—	4	1	no	—
598	C₇×SD₁₆	—	2	2	no	—
599	C₇×SD₁₆	—	2	2	no	—
600	C₇×SD₁₆	—	2	2	no	—
601	C₇×SD₁₆	—	2	2	no	—
602	C₇×SD₁₆	—	2	2	no	—
603	C₇×SD₁₆	—	4	1	no	—
604	C₇×SD₁₆	—	4	1	no	—
605	C₇×SD₁₆	—	4	1	no	—
606	C₇×SD₁₆	—	4	1	no	—
607	C₇×SD₁₆	—	4	1	no	—
608	C₇×SD₁₆	—	4	1	no	—
609	C₇×SD₁₆	—	4	1	no	—
610	C₇×SD₁₆	—	4	1	no	—
611	C₇×SD₁₆	—	4	1	no	—
612	C₇×SD₁₆	—	4	1	no	—
613	C₇×SD₁₆	—	4	1	no	—
614	C₇×D₈	—	2	2	no	—
615	C₇×D₈	—	4	1	no	—
616	C₇×D₈	—	4	1	no	—
617	C₇×M₁₆	—	4	1	no	—
618	C₇×M₁₆	—	4	1	no	—
619	C₂×C₇×C₈	—	4	1	no	—
620	C₂×C₇×C₈	—	4	1	no	—
621	C₂×C₇×C₈	—	4	1	no	—
622	C₂×C₇×C₈	—	4	1	no	—
623	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
624	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
625	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
626	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
627	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
628	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
629	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
630	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
631	C₇×C₄⋊C₄	—	2	1	no	—
632	C₇×C₄⋊C₄	—	2	1	no	—
633	C₇×C₄⋊C₄	—	2	1	no	—
634	C₇×C₄⋊C₄	—	2	1	no	—
635	C₇×C₄⋊C₄	—	2	1	no	—
636	C₇×C₄⋊C₄	—	2	1	no	—
637	C₇×C₄⋊C₄	—	2	1	no	—
638	C₇×C₄⋊C₄	—	2	1	no	—
639	C₇×C₄⋊C₄	—	2	1	no	—
640	C₇×C₄⋊C₄	—	2	1	no	—
641	C₇×C₄⋊C₄	—	2	1	no	—
642	C₇×C₄⋊C₄	—	2	1	no	—
643	C₇×C₄⋊C₄	—	2	1	no	—
644	C₇×C₄⋊C₄	—	2	1	no	—
645	C₇×C₄⋊C₄	—	2	1	no	—
646	C₇×C₄⋊C₄	—	2	1	no	—
647	C₇×C₄⋊C₄	—	2	1	no	—
648	C₇×C₄⋊C₄	—	2	1	no	—
649	C₇×C₄⋊C₄	—	2	1	no	—
650	C₇×C₄⋊C₄	—	2	1	no	—
651	C₇×C₄⋊C₄	—	2	1	no	—
652	C₇×C₄⋊C₄	—	2	1	no	—
653	C₇×C₄⋊C₄	—	2	1	no	—
654	C₇×C₄⋊C₄	—	2	1	no	—
655	C₇×C₄⋊C₄	—	2	1	no	—
656	C₇×C₄⋊C₄	—	2	1	no	—
657	C₇×C₄⋊C₄	—	2	1	no	—
658	C₇×C₄⋊C₄	—	2	1	no	—
659	C₇×C₄⋊C₄	—	2	1	no	—
660	C₇×C₄⋊C₄	—	2	1	no	—
661	C₇×C₄⋊C₄	—	2	1	no	—
662	C₇×C₄⋊C₄	—	2	1	no	—
663	C₇×C₄⋊C₄	—	2	1	no	—
664	C₇×C₄⋊C₄	—	2	1	no	—
665	C₇×C₄⋊C₄	—	2	1	no	—
666	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
677	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
679	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
680	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
682	C₇×C₂²⋊C₄	—	2	1	no	—
683	C₇×C₂²⋊C₄	—	2	1	no	—
684	C₇×C₂²⋊C₄	—	2	1	no	—
685	C₇×C₂²⋊C₄	—	2	1	no	—
686	C₇×C₂²⋊C₄	—	2	1	no	—
687	C₇×C₂²⋊C₄	—	2	1	no	—
688	C₇×C₂²⋊C₄	—	2	1	no	—
689	C₇×C₂²⋊C₄	—	2	1	no	—
690	C₇×C₂²⋊C₄	—	2	1	no	—
691	C₇×C₂²⋊C₄	—	2	1	no	—
692	C₇×C₂²⋊C₄	—	2	1	no	—
693	C₇×C₂²⋊C₄	—	2	1	no	—
694	C₇×C₂²⋊C₄	—	2	1	no	—
695	C₇×C₂²⋊C₄	—	2	1	no	—
696	C₇×C₂²⋊C₄	—	2	1	no	—
697	C₇×C₂²⋊C₄	—	2	1	no	—
698	C₇×C₂²⋊C₄	—	2	1	no	—
699	C₇×C₂²⋊C₄	—	2	1	no	—
700	C₇×C₂²⋊C₄	—	2	1	no	—
701	C₇×C₂²⋊C₄	—	2	1	no	—
702	C₇×C₂²⋊C₄	—	2	1	no	—
703	C₇×C₂²⋊C₄	—	2	1	no	—
704	C₇×C₂²⋊C₄	—	2	1	no	—
705	C₇×C₂²⋊C₄	—	2	1	no	—
706	C₇×C₂²⋊C₄	—	2	1	no	—
707	C₇×C₂²⋊C₄	—	2	1	no	—
708	C₇×C₂²⋊C₄	—	2	1	no	—
709	C₇×C₂²⋊C₄	—	2	1	no	—
710	C₇×C₂²⋊C₄	—	2	1	no	—
711	C₇×C₂²⋊C₄	—	2	1	no	—
712	C₇×C₂²⋊C₄	—	2	1	no	—
713	C₇×C₂²⋊C₄	—	2	1	no	—
714	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
715	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
716	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
717	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
718	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
719	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
720	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
721	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
722	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
723	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
724	C₄²×C₇	—	2	1	no	—
725	C₄²×C₇	—	2	1	no	—
726	C₄²×C₇	—	2	1	no	—
727	C₄²×C₇	—	2	1	no	—
728	C₄²×C₇	—	2	1	no	—
729	C₄²×C₇	—	2	1	no	—
730	C₄²×C₇	—	2	1	no	—
731	C₄²×C₇	—	2	1	no	—
732	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
733	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
734	C₄²×C₇	C₂⁴	1	1	yes	characteristic
735	C₄²×C₇	C₂⁴	1	1	yes	characteristic
736	C₄²×C₇	C₂⁴	1	1	yes	characteristic
737	C₄²×C₇	C₂⁴	1	1	yes	characteristic
738	C₂×#137	C₂²×C₇	1	1	yes	characteristic
739	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
740	C₂×#135	C₂²×C₇	1	1	yes	characteristic
741	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
742	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
743	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
744	#563	—	2	1	no	—
745	#563	—	2	1	no	—
746	#559	C₂²×C₇	1	1	yes	characteristic
747	#557	C₂²×C₇	1	1	yes	characteristic, complemented
748	#556	C₂²×C₇	1	1	yes	characteristic, complemented
749	#554	—	2	1	no	—
750	#554	C₂²×C₇	1	1	yes	characteristic
751	#553	—	2	1	no	—
752	#553	—	2	1	no	—
753	#553	C₂²×C₇	1	1	yes	characteristic
754	#552	C₂²×C₇	1	1	yes	characteristic
755	#551	—	2	1	no	—
756	#551	—	2	1	no	—
757	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
758	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
759	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
760	#548	C₂²×C₇	1	1	yes	characteristic
761	#548	C₂²×C₇	1	1	yes	characteristic, complemented
762	#547	C₂²×C₇	1	1	yes	characteristic
763	#547	C₂²×C₇	1	1	yes	characteristic, complemented
764	#546	—	2	1	no	—
765	#546	C₂²×C₇	1	1	yes	characteristic
766	#546	C₂²×C₇	1	1	yes	characteristic
767	D₄²	C₂²×C₇	1	1	yes	characteristic
768	#544	—	2	1	no	—
769	#542	—	2	1	no	—
770	#542	C₂²×C₇	1	1	yes	characteristic
771	#541	C₂²×C₇	1	1	yes	characteristic, complemented
772	#541	C₂²×C₇	1	1	yes	characteristic, complemented
773	#540	C₂²×C₇	1	1	yes	characteristic
774	#539	—	2	1	no	—
775	#539	—	2	1	no	—
776	#539	—	2	1	no	—
777	#538	—	2	1	no	—
778	#536	C₂²×C₇	1	1	yes	characteristic, complemented
779	#536	C₂²×C₇	1	1	yes	characteristic, complemented
780	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
781	#529	C₂²×C₇	1	1	yes	characteristic
782	#529	C₂²×C₇	1	1	yes	characteristic
783	#529	C₂²×C₇	1	1	yes	characteristic, complemented
784	#525	—	2	1	no	—
785	C₂×#123	—	2	1	no	—
786	#520	C₂²×C₇	1	1	yes	characteristic
787	#518	C₂²×C₇	1	1	yes	characteristic
788	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
789	#497	C₂²×C₇	1	1	yes	characteristic, complemented
790	#497	C₂²×C₇	1	1	yes	characteristic, complemented
791	#497	C₂²×C₇	1	1	yes	characteristic, complemented
792	#496	C₂²×C₇	1	1	yes	characteristic
793	#495	C₂²×C₇	1	1	yes	characteristic, complemented
794	#492	C₂²×C₇	1	1	yes	characteristic
795	#491	C₂²×C₇	1	1	yes	characteristic, complemented
796	#491	C₂²×C₇	1	1	yes	characteristic, complemented
797	#491	C₂²×C₇	1	1	yes	characteristic, complemented
798	#489	C₂²×C₇	1	1	yes	characteristic, complemented
799	#488	C₂²×C₇	1	1	yes	characteristic, complemented
800	#487	C₂²×C₇	1	1	yes	characteristic, complemented
801	#485	C₂²×C₇	1	1	yes	characteristic, complemented
802	#485	C₂²×C₇	1	1	yes	characteristic, complemented
803	#484	C₂²×C₇	1	1	yes	characteristic, complemented
804	#483	C₂²×C₇	1	1	yes	characteristic, complemented
805	#483	C₂²×C₇	1	1	yes	characteristic, complemented
806	#480	C₂²×C₇	1	1	yes	characteristic, complemented
807	#479	C₂²×C₇	1	1	yes	characteristic, complemented
808	#479	C₂²×C₇	1	1	yes	characteristic, complemented
809	#479	C₂²×C₇	1	1	yes	characteristic, complemented
810	#479	C₂²×C₇	1	1	yes	characteristic, complemented
811	#478	C₂²×C₇	1	1	yes	characteristic
812	#478	C₂²×C₇	1	1	yes	characteristic, complemented
813	#478	C₂²×C₇	1	1	yes	characteristic, complemented
814	#478	C₂²×C₇	1	1	yes	characteristic, complemented
815	#477	C₂²×C₇	1	1	yes	characteristic, complemented
816	#475	C₂²×C₇	1	1	yes	characteristic, complemented
817	#470	C₂²×C₇	1	1	yes	characteristic, complemented
818	#468	C₂²×C₇	1	1	yes	characteristic
819	#468	C₂²×C₇	1	1	yes	characteristic, complemented
820	#468	C₂²×C₇	1	1	yes	characteristic, complemented
821	#467	C₂²×C₇	1	1	yes	characteristic, complemented
822	#467	C₂²×C₇	1	1	yes	characteristic, complemented
823	#466	C₂²×C₇	1	1	yes	characteristic
824	#465	C₂²×C₇	1	1	yes	characteristic
825	#465	C₂²×C₇	1	1	yes	characteristic
826	#465	C₂²×C₇	1	1	yes	characteristic, complemented
827	#465	C₂²×C₇	1	1	yes	characteristic, complemented
828	#465	C₂²×C₇	1	1	yes	characteristic, complemented
829	#464	C₂²×C₇	1	1	yes	characteristic, complemented
830	#464	C₂²×C₇	1	1	yes	characteristic, complemented
831	#464	C₂²×C₇	1	1	yes	characteristic, complemented
832	#464	C₂²×C₇	1	1	yes	characteristic, complemented
833	#464	C₂²×C₇	1	1	yes	characteristic, complemented
834	#463	C₂²×C₇	1	1	yes	characteristic
835	#463	C₂²×C₇	1	1	yes	characteristic
836	#463	C₂²×C₇	1	1	yes	characteristic
837	#463	C₂²×C₇	1	1	yes	characteristic, complemented
838	#463	C₂²×C₇	1	1	yes	characteristic, complemented
839	#463	C₂²×C₇	1	1	yes	characteristic, complemented
840	#463	C₂²×C₇	1	1	yes	characteristic, complemented
841	#462	C₂²×C₇	1	1	yes	characteristic, complemented
842	#462	C₂²×C₇	1	1	yes	characteristic, complemented
843	#462	C₂²×C₇	1	1	yes	characteristic, complemented
844	#461	C₂²×C₇	1	1	yes	characteristic
845	#461	C₂²×C₇	1	1	yes	characteristic
846	#461	C₂²×C₇	1	1	yes	characteristic
847	#461	C₂²×C₇	1	1	yes	characteristic
848	#461	C₂²×C₇	1	1	yes	characteristic
849	#461	C₂²×C₇	1	1	yes	characteristic
850	#461	C₂²×C₇	1	1	yes	characteristic, complemented
851	#461	C₂²×C₇	1	1	yes	characteristic, complemented
852	#461	C₂²×C₇	1	1	yes	characteristic, complemented
853	#461	C₂²×C₇	1	1	yes	characteristic, complemented
854	#461	C₂²×C₇	1	1	yes	characteristic, complemented
855	#461	C₂²×C₇	1	1	yes	characteristic, complemented
856	#461	C₂²×C₇	1	1	yes	characteristic, complemented
857	#460	C₂²×C₇	1	1	yes	characteristic
858	#460	C₂²×C₇	1	1	yes	characteristic
859	#452	C₂²×C₇	1	1	yes	characteristic
860	#452	C₂²×C₇	1	1	yes	characteristic
861	#452	C₂²×C₇	1	1	yes	characteristic, complemented
862	#451	C₂²×C₇	1	1	yes	characteristic, complemented
863	#451	C₂²×C₇	1	1	yes	characteristic, complemented
864	#451	C₂²×C₇	1	1	yes	characteristic, complemented
865	#450	C₂²×C₇	1	1	yes	characteristic
866	#450	C₂²×C₇	1	1	yes	characteristic
867	#450	C₂²×C₇	1	1	yes	characteristic
868	#449	C₂²×C₇	1	1	yes	characteristic
869	#449	C₂²×C₇	1	1	yes	characteristic, complemented
870	#449	C₂²×C₇	1	1	yes	characteristic, complemented
871	#448	C₂²×C₇	1	1	yes	characteristic
872	#448	C₂²×C₇	1	1	yes	characteristic
873	#448	C₂²×C₇	1	1	yes	characteristic
874	#448	C₂²×C₇	1	1	yes	characteristic, complemented
875	#448	C₂²×C₇	1	1	yes	characteristic, complemented
876	#447	C₂²×C₇	1	1	yes	characteristic
877	#446	C₂²×C₇	1	1	yes	characteristic, complemented
878	#446	C₂²×C₇	1	1	yes	characteristic, complemented
879	#442	C₂²×C₇	1	1	yes	characteristic
880	#442	C₂²×C₇	1	1	yes	characteristic, complemented
881	#441	C₂²×C₇	1	1	yes	characteristic, complemented
882	#440	C₂²×C₇	1	1	yes	characteristic
883	#440	C₂²×C₇	1	1	yes	characteristic
884	#440	C₂²×C₇	1	1	yes	characteristic
885	#440	C₂²×C₇	1	1	yes	characteristic, complemented
886	#440	C₂²×C₇	1	1	yes	characteristic, complemented
887	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
888	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
889	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
890	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
891	#435	C₂²×C₇	1	1	yes	characteristic
892	#435	C₂²×C₇	1	1	yes	characteristic, complemented
893	#435	C₂²×C₇	1	1	yes	characteristic, complemented
894	#435	C₂²×C₇	1	1	yes	characteristic, complemented
895	C₈×D₄	C₂²×C₇	1	1	yes	characteristic
896	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
897	#433	C₂²×C₇	1	1	yes	characteristic, complemented
898	#433	C₂²×C₇	1	1	yes	characteristic, complemented
899	#432	C₂²×C₇	1	1	yes	characteristic, complemented
900	#424	C₂²×C₇	1	1	yes	characteristic, complemented
901	#424	C₂²×C₇	1	1	yes	characteristic, complemented
902	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
903	#419	C₂²×C₇	1	1	yes	characteristic, complemented
904	#417	C₂²×C₇	1	1	yes	characteristic, complemented
905	#416	C₂²×C₇	1	1	yes	characteristic, complemented
906	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
907	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
908	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
909	C₂³×C₇	—	2	1	no	—
910	C₂³×C₇	—	2	1	no	—
911	C₂³×C₇	—	2	1	no	—
912	C₂³×C₇	—	2	1	no	—
913	C₂³×C₇	—	4	2	no	—
914	C₂³×C₇	—	4	2	no	—
915	C₂³×C₇	—	4	2	no	—
916	C₂³×C₇	—	8	1	no	—
917	C₂³×C₇	—	8	1	no	—
918	C₂³×C₇	—	8	1	no	—
919	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
920	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
921	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
922	C₇×Q₈	—	2	1	no	—
923	C₇×Q₈	—	2	1	no	—
924	C₇×Q₈	—	2	1	no	—
925	C₇×Q₈	—	2	1	no	—
926	C₇×Q₈	—	2	1	no	—
927	C₇×Q₈	—	2	1	no	—
928	C₇×Q₈	—	2	1	no	—
929	C₇×Q₈	—	2	1	no	—
930	C₇×Q₈	—	2	1	no	—
931	C₇×Q₈	—	2	1	no	—
932	C₇×Q₈	—	2	1	no	—
933	C₇×Q₈	—	2	1	no	—
934	C₇×Q₈	—	4	1	no	—
935	C₇×Q₈	—	8	1	no	—
936	C₇×Q₈	—	8	1	no	—
937	C₇×Q₈	—	8	1	no	—
938	C₇×Q₈	—	8	1	no	—
939	C₇×Q₈	—	8	1	no	—
940	C₇×D₄	—	2	2	no	—
941	C₇×D₄	—	2	2	no	—
942	C₇×D₄	—	2	1	no	—
943	C₇×D₄	—	2	1	no	—
944	C₇×D₄	—	2	1	no	—
945	C₇×D₄	—	2	1	no	—
946	C₇×D₄	—	2	1	no	—
947	C₇×D₄	—	2	1	no	—
948	C₇×D₄	—	2	1	no	—
949	C₇×D₄	—	4	1	no	—
950	C₇×D₄	—	4	2	no	—
951	C₇×D₄	—	4	2	no	—
952	C₇×D₄	—	4	2	no	—
953	C₇×D₄	—	4	2	no	—
954	C₇×D₄	—	4	2	no	—
955	C₇×D₄	—	8	1	no	—
956	C₇×D₄	—	8	1	no	—
957	C₇×D₄	—	8	1	no	—
958	C₇×D₄	—	8	1	no	—
959	C₇×D₄	—	8	1	no	—
960	C₇×D₄	—	8	1	no	—
961	C₇×D₄	—	8	1	no	—
962	C₇×D₄	H(5,𝔽₂)	1	2	yes	—
963	C₂×C₄×C₇	—	2	2	no	—
964	C₂×C₄×C₇	—	2	1	no	—
965	C₂×C₄×C₇	—	2	1	no	—
966	C₂×C₄×C₇	—	2	1	no	—
967	C₂×C₄×C₇	—	2	1	no	—
968	C₂×C₄×C₇	—	2	1	no	—
969	C₂×C₄×C₇	—	2	1	no	—
970	C₂×C₄×C₇	—	2	1	no	—
971	C₂×C₄×C₇	—	2	1	no	—
972	C₂×C₄×C₇	—	2	1	no	—
973	C₂×C₄×C₇	—	2	1	no	—
974	C₂×C₄×C₇	—	2	1	no	—
975	C₂×C₄×C₇	—	2	1	no	—
976	C₂×C₄×C₇	—	2	1	no	—
977	C₂×C₄×C₇	—	2	1	no	—
978	C₂×C₄×C₇	—	2	1	no	—
979	C₂×C₄×C₇	—	2	1	no	—
980	C₂×C₄×C₇	—	2	1	no	—
981	C₂×C₄×C₇	—	2	1	no	—
982	C₂×C₄×C₇	—	4	1	no	—
983	C₂×C₄×C₇	—	4	2	no	—
984	C₂×C₄×C₇	—	4	2	no	—
985	C₂×C₄×C₇	—	4	2	no	—
986	C₂×C₄×C₇	—	8	1	no	—
987	C₂×C₄×C₇	—	8	1	no	—
988	C₂×C₄×C₇	—	8	1	no	—
989	C₂×C₄×C₇	—	8	1	no	—
990	C₂×C₄×C₇	—	8	1	no	—
991	C₂×C₄×C₇	—	8	1	no	—
992	C₂×C₄×C₇	—	8	1	no	—
993	C₂×C₄×C₇	—	8	1	no	—
994	C₂×C₄×C₇	—	8	1	no	—
995	C₂×C₄×C₇	—	8	1	no	—
996	C₂×C₄×C₇	—	8	1	no	—
997	C₂×C₄×C₇	—	8	1	no	—
998	C₂×C₄×C₇	—	8	1	no	—
999	C₂×C₄×C₇	—	8	1	no	—
1000	C₂×C₄×C₇	—	8	1	no	—
1001	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1002	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1003	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1004	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1005	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1006	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1007	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1008	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1009	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1010	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1011	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1012	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1013	C₇×C₈	—	2	1	no	—
1014	C₇×C₈	—	2	1	no	—
1015	C₇×C₈	—	2	1	no	—
1016	C₇×C₈	—	2	1	no	—
1017	C₇×C₈	—	2	1	no	—
1018	C₇×C₈	—	2	1	no	—
1019	C₇×C₈	—	2	1	no	—
1020	C₇×C₈	—	2	1	no	—
1021	C₂×#41	—	2	1	no	—
1022	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1023	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1024	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1025	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1026	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1027	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1028	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1029	C₂²×D₄	—	2	1	no	—
1030	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1031	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1032	C₂³×C₄	—	2	1	no	—
1033	#137	—	4	2	no	—
1034	AGL(1,ℤ/8)	—	4	2	no	—
1035	#135	—	4	2	no	—
1036	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1037	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1038	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1039	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1040	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1041	C₂×SD₁₆	—	4	2	no	—
1042	C₂×SD₁₆	—	4	2	no	—
1043	C₂×SD₁₆	—	4	2	no	—
1044	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1045	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1046	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1047	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1050	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1051	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1052	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1060	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1061	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1062	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1063	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1064	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1065	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1066	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1067	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1068	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	—	2	1	no	—
1071	C₄⋊Q₈	—	2	1	no	—
1072	C₄⋊Q₈	—	2	1	no	—
1073	C₄⋊Q₈	—	2	1	no	—
1074	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1080	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1081	#127	C₂³×C₇	1	1	yes	characteristic
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	C₇×D₄	1	1	yes	characteristic
1094	#126	C₇×D₄	1	1	yes	characteristic
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	C₇×D₄	1	1	yes	characteristic
1104	#125	C₂³×C₇	1	1	yes	characteristic
1105	#125	C₂³×C₇	1	1	yes	characteristic
1106	#125	C₂³×C₇	1	1	yes	characteristic
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	C₇×D₄	1	1	yes	characteristic
1112	#124	C₂³×C₇	1	1	yes	characteristic
1113	#124	C₂³×C₇	1	1	yes	characteristic
1114	#124	C₂³×C₇	1	1	yes	characteristic
1115	#124	C₂³×C₇	1	1	yes	characteristic
1116	#124	C₂³×C₇	1	1	yes	characteristic
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	C₇×D₄	1	1	yes	characteristic
1137	#123	C₇×D₄	1	1	yes	characteristic
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	C₇×D₄	1	1	yes	characteristic
1174	#121	C₂³×C₇	1	1	yes	characteristic
1175	#121	C₂³×C₇	1	1	yes	characteristic
1176	#121	C₂³×C₇	1	1	yes	characteristic
1177	#121	C₂³×C₇	1	1	yes	characteristic
1178	#121	C₂³×C₇	1	1	yes	characteristic
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	#120	—	2	1	no	—
1182	#120	—	2	1	no	—
1183	C₄×Q₈	—	2	1	no	—
1184	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1212	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1213	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	C₂³×C₇	1	1	yes	characteristic
1225	#117	C₂³×C₇	1	1	yes	characteristic
1226	#117	C₂³×C₇	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	—	2	1	no	—
1230	C₂×C₄⋊C₄	—	2	1	no	—
1231	C₂×C₄⋊C₄	—	2	1	no	—
1232	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1233	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1234	C₂×C₂²⋊C₄	—	2	1	no	—
1235	C₂×C₂²⋊C₄	—	2	1	no	—
1236	C₂×C₂²⋊C₄	—	2	1	no	—
1237	C₂×C₂²⋊C₄	—	2	1	no	—
1238	C₂×C₂²⋊C₄	—	2	1	no	—
1239	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1240	#107	C₂³×C₇	1	1	yes	characteristic
1241	#107	C₂³×C₇	1	1	yes	characteristic
1242	#107	C₂³×C₇	1	1	yes	characteristic
1243	#107	C₂³×C₇	1	1	yes	characteristic
1244	#106	C₂³×C₇	1	1	yes	characteristic
1245	#106	C₂³×C₇	1	1	yes	characteristic
1246	#106	C₂³×C₇	1	1	yes	characteristic
1247	#106	C₂³×C₇	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1258	#103	C₂³×C₇	1	1	yes	characteristic
1259	#103	C₂³×C₇	1	1	yes	characteristic
1260	#103	C₂³×C₇	1	1	yes	characteristic
1261	#103	C₂³×C₇	1	1	yes	characteristic
1262	#103	C₂³×C₇	1	1	yes	characteristic
1263	#103	C₂³×C₇	1	1	yes	characteristic
1264	#103	C₂³×C₇	1	1	yes	characteristic
1265	#103	C₂³×C₇	1	1	yes	characteristic
1266	#103	C₂³×C₇	1	1	yes	characteristic
1267	#103	C₂³×C₇	1	1	yes	characteristic
1268	#103	C₂³×C₇	1	1	yes	characteristic
1269	#103	C₂³×C₇	1	1	yes	characteristic
1270	#103	C₂³×C₇	1	1	yes	characteristic
1271	#103	C₂³×C₇	1	1	yes	characteristic
1272	#103	C₂³×C₇	1	1	yes	characteristic
1273	#103	C₂³×C₇	1	1	yes	characteristic
1274	#103	C₂³×C₇	1	1	yes	characteristic
1275	#103	C₂³×C₇	1	1	yes	characteristic
1276	#103	C₂³×C₇	1	1	yes	characteristic
1277	#103	C₂³×C₇	1	1	yes	characteristic
1278	#103	C₂³×C₇	1	1	yes	characteristic
1279	#103	C₂³×C₇	1	1	yes	characteristic
1280	#102	C₂³×C₇	1	1	yes	characteristic
1281	#102	C₂³×C₇	1	1	yes	characteristic
1282	#102	C₂³×C₇	1	1	yes	characteristic
1283	#102	C₂³×C₇	1	1	yes	characteristic
1284	#102	C₂³×C₇	1	1	yes	characteristic
1285	#102	C₂³×C₇	1	1	yes	characteristic
1286	#102	C₂³×C₇	1	1	yes	characteristic
1287	#102	C₂³×C₇	1	1	yes	characteristic
1288	#102	C₂³×C₇	1	1	yes	characteristic
1289	#102	C₂³×C₇	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1294	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1296	#97	C₂³×C₇	1	1	yes	characteristic
1297	#97	C₂³×C₇	1	1	yes	characteristic
1298	#97	C₂³×C₇	1	1	yes	characteristic
1299	#97	C₂³×C₇	1	1	yes	characteristic
1300	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1301	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1302	C₂²×C₇	—	2	1	no	—
1303	C₂²×C₇	—	2	1	no	—
1304	C₂²×C₇	—	2	1	no	—
1305	C₂²×C₇	—	2	1	no	—
1306	C₂²×C₇	—	2	1	no	—
1307	C₂²×C₇	—	2	1	no	—
1308	C₂²×C₇	—	2	2	no	—
1309	C₂²×C₇	—	2	1	no	—
1310	C₂²×C₇	—	2	1	no	—
1311	C₂²×C₇	—	4	1	no	—
1312	C₂²×C₇	—	4	1	no	—
1313	C₂²×C₇	—	4	1	no	—
1314	C₂²×C₇	—	4	1	no	—
1315	C₂²×C₇	—	4	1	no	—
1316	C₂²×C₇	—	4	1	no	—
1317	C₂²×C₇	—	4	1	no	—
1318	C₂²×C₇	—	4	1	no	—
1319	C₂²×C₇	—	4	1	no	—
1320	C₂²×C₇	—	4	1	no	—
1321	C₂²×C₇	—	4	1	no	—
1322	C₂²×C₇	—	8	4	no	—
1323	C₂²×C₇	—	16	2	no	—
1324	C₂²×C₇	#577	1	2	yes	—
1325	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1326	C₄×C₇	—	2	1	no	—
1327	C₄×C₇	—	2	1	no	—
1328	C₄×C₇	—	2	1	no	—
1329	C₄×C₇	—	2	1	no	—
1330	C₄×C₇	—	2	1	no	—
1331	C₄×C₇	—	2	1	no	—
1332	C₄×C₇	—	2	1	no	—
1333	C₄×C₇	—	2	1	no	—
1334	C₄×C₇	—	2	1	no	—
1335	C₄×C₇	—	2	1	no	—
1336	C₄×C₇	—	2	1	no	—
1337	C₄×C₇	—	4	1	no	—
1338	C₄×C₇	—	4	1	no	—
1339	C₄×C₇	—	4	1	no	—
1340	C₄×C₇	—	4	1	no	—
1341	C₄×C₇	—	4	1	no	—
1342	C₄×C₇	—	4	1	no	—
1343	C₄×C₇	—	4	1	no	—
1344	C₄×C₇	—	4	1	no	—
1345	C₄×C₇	—	4	1	no	—
1346	C₄×C₇	—	4	1	no	—
1347	C₄×C₇	—	4	1	no	—
1348	C₄×C₇	—	4	1	no	—
1349	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1350	C₄×C₇	#585	1	1	yes	characteristic
1351	C₂⁴	—	2	1	no	—
1352	C₂⁴	—	2	1	no	—
1353	#41	—	2	2	no	—
1354	#41	—	4	1	no	—
1355	#41	—	4	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	4	1	no	—
1358	#41	—	4	1	no	—
1359	#41	—	8	2	no	—
1360	C₂×Q₈	—	2	1	no	—
1361	C₂×Q₈	—	2	1	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	2	1	no	—
1364	C₂×Q₈	—	2	1	no	—
1365	C₂×Q₈	—	4	1	no	—
1366	C₂×Q₈	—	4	1	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	—	4	1	no	—
1369	C₂×Q₈	—	4	1	no	—
1370	C₂×Q₈	—	4	1	no	—
1371	C₂×Q₈	—	4	1	no	—
1372	C₂×Q₈	—	4	1	no	—
1373	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1374	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1375	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1376	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1378	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1379	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1380	C₂×D₄	—	2	2	no	—
1381	C₂×D₄	—	2	2	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	4	1	no	—
1395	C₂×D₄	—	4	1	no	—
1396	C₂×D₄	—	8	2	no	—
1397	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1398	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1399	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1400	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1401	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1402	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1403	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	8	2	no	—
1423	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1424	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1425	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1426	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1427	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1428	Q₁₆	—	4	1	no	—
1429	Q₁₆	—	4	1	no	—
1430	Q₁₆	—	4	1	no	—
1431	Q₁₆	—	4	1	no	—
1432	Q₁₆	—	4	1	no	—
1433	SD₁₆	—	2	2	no	—
1434	SD₁₆	—	2	2	no	—
1435	SD₁₆	—	2	2	no	—
1436	SD₁₆	—	2	2	no	—
1437	SD₁₆	—	2	2	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	SD₁₆	—	4	1	no	—
1442	SD₁₆	—	4	1	no	—
1443	SD₁₆	—	4	1	no	—
1444	SD₁₆	—	4	1	no	—
1445	SD₁₆	—	4	1	no	—
1446	SD₁₆	—	4	1	no	—
1447	SD₁₆	—	4	1	no	—
1448	SD₁₆	—	4	1	no	—
1449	D₈	—	2	2	no	—
1450	D₈	—	4	1	no	—
1451	D₈	—	4	1	no	—
1452	M₁₆	—	4	1	no	—
1453	M₁₆	—	4	1	no	—
1454	C₂×C₈	—	4	1	no	—
1455	C₂×C₈	—	4	1	no	—
1456	C₂×C₈	—	4	1	no	—
1457	C₂×C₈	—	4	1	no	—
1458	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1459	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1460	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1461	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1462	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1463	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1464	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1465	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1502	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1503	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1504	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1505	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1506	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1507	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1508	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1509	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1510	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1511	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1512	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1513	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1514	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1515	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1516	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1550	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1553	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1554	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1555	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1556	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1557	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1558	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	—	2	1	no	—
1566	C₄²	—	2	1	no	—
1567	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1568	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1569	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1570	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1571	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1572	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1573	C₂×C₇	—	2	2	no	—
1574	C₂×C₇	—	4	1	no	—
1575	C₂×C₇	—	4	1	no	—
1576	C₂×C₇	—	4	2	no	—
1577	C₂×C₇	—	8	1	no	—
1578	C₂×C₇	—	8	1	no	—
1579	C₂×C₇	—	8	1	no	—
1580	C₂×C₇	#3488	1	1	yes	characteristic
1581	C₂×C₇	C₂×#577	1	1	yes	characteristic
1582	C₂×C₇	#3586	1	1	yes	characteristic
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	4	2	no	—
1588	C₂³	—	4	2	no	—
1589	C₂³	—	4	2	no	—
1590	C₂³	—	8	1	no	—
1591	C₂³	—	8	1	no	—
1592	C₂³	—	8	1	no	—
1593	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1594	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1595	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	2	1	no	—
1600	Q₈	—	2	1	no	—
1601	Q₈	—	2	1	no	—
1602	Q₈	—	2	1	no	—
1603	Q₈	—	2	1	no	—
1604	Q₈	—	2	1	no	—
1605	Q₈	—	2	1	no	—
1606	Q₈	—	2	1	no	—
1607	Q₈	—	2	1	no	—
1608	Q₈	—	4	1	no	—
1609	Q₈	—	8	1	no	—
1610	Q₈	—	8	1	no	—
1611	Q₈	—	8	1	no	—
1612	Q₈	—	8	1	no	—
1613	Q₈	—	8	1	no	—
1614	D₄	—	2	2	no	—
1615	D₄	—	2	2	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	2	1	no	—
1619	D₄	—	2	1	no	—
1620	D₄	—	2	1	no	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	4	1	no	—
1624	D₄	—	4	2	no	—
1625	D₄	—	4	2	no	—
1626	D₄	—	4	2	no	—
1627	D₄	—	4	2	no	—
1628	D₄	—	4	2	no	—
1629	D₄	—	8	1	no	—
1630	D₄	—	8	1	no	—
1631	D₄	—	8	1	no	—
1632	D₄	—	8	1	no	—
1633	D₄	—	8	1	no	—
1634	D₄	—	8	1	no	—
1635	D₄	—	8	1	no	—
1636	D₄	C₇×H(5,𝔽₂)	1	2	yes	—
1637	C₂×C₄	—	2	2	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	4	1	no	—
1657	C₂×C₄	—	4	2	no	—
1658	C₂×C₄	—	4	2	no	—
1659	C₂×C₄	—	4	2	no	—
1660	C₂×C₄	—	8	1	no	—
1661	C₂×C₄	—	8	1	no	—
1662	C₂×C₄	—	8	1	no	—
1663	C₂×C₄	—	8	1	no	—
1664	C₂×C₄	—	8	1	no	—
1665	C₂×C₄	—	8	1	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	8	1	no	—
1668	C₂×C₄	—	8	1	no	—
1669	C₂×C₄	—	8	1	no	—
1670	C₂×C₄	—	8	1	no	—
1671	C₂×C₄	—	8	1	no	—
1672	C₂×C₄	—	8	1	no	—
1673	C₂×C₄	—	8	1	no	—
1674	C₂×C₄	—	8	1	no	—
1675	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1676	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1677	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1678	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1679	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1680	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1681	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1682	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1683	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1684	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1685	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1686	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	2	1	no	—
1691	C₈	—	2	1	no	—
1692	C₈	—	2	1	no	—
1693	C₈	—	2	1	no	—
1694	C₈	—	2	1	no	—
1695	C₇	#62008	1	1	yes	characteristic, direct product factor, Sylow
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	1	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	2	1	no	—
1704	C₂²	—	2	2	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	8	4	no	—
1717	C₂²	—	16	2	no	—
1718	C₂²	C₇×#577	1	2	yes	—
1719	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	2	1	no	—
1724	C₄	—	2	1	no	—
1725	C₄	—	2	1	no	—
1726	C₄	—	2	1	no	—
1727	C₄	—	2	1	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	—	4	1	no	—
1734	C₄	—	4	1	no	—
1735	C₄	—	4	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1744	C₄	C₇×#585	1	1	yes	characteristic
1745	C₂	—	2	2	no	—
1746	C₂	—	4	1	no	—
1747	C₂	—	4	1	no	—
1748	C₂	—	4	2	no	—
1749	C₂	—	8	1	no	—
1750	C₂	—	8	1	no	—
1751	C₂	—	8	1	no	—
1752	C₂	C₇×#3488	1	1	yes	characteristic
1753	C₂	C₂×C₇×#577	1	1	yes	characteristic
1754	C₂	C₇×#3586	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₇×#3552	C₂	semidirect
2. C₇×#3513	C₂	semidirect
3. C₇×#3401	C₂	semidirect
4. C₇×#3400	C₂	semidirect
5. C₇×#3376	C₂	semidirect
6. C₇×#3372	C₂	semidirect
7. C₇×#3320	C₂	semidirect
8. C₇×#3312	C₂	semidirect
9. C₇×#3308	C₂	semidirect
10. C₇×#3307	C₂	semidirect
11. C₇×#3300	C₂	semidirect
12. C₇×#3298	C₂	semidirect
13. C₇×#3282	C₂	semidirect
14. C₇×D₄×SD₁₆	C₂	semidirect
15. C₇×#3267	C₂	semidirect
16. C₇×#3266	C₂	semidirect
17. C₇×#3266	C₂	semidirect
18. C₇×#3265	C₂	semidirect
19. C₇×#3260	C₂	semidirect
20. C₇×#3258	C₂	semidirect
21. C₇×#3250	C₂	semidirect
22. C₇×#3225	C₂	semidirect
23. C₇×#3221	C₂	semidirect
24. C₇×#3218	C₂	semidirect
25. C₇×#3123	C₂	semidirect
26. C₇×#3120	C₂	semidirect
27. C₇×#3114	C₂	semidirect
28. C₇×#3046	C₂	semidirect
29. C₇×#3042	C₂	semidirect
30. C₂×C₇×#461	C₂	semidirect
31. C₇×#2992	C₂	semidirect
41. C₇×#557	C₂²	semidirect
42. C₇×#556	C₂²	semidirect
52. C₇×D₄×Q₈	C₂²	semidirect
53. C₇×D₄×Q₈	C₂²	semidirect
55. C₇×#548	C₂²	semidirect
57. C₇×#547	C₂²	semidirect
65. C₇×#541	C₂²	semidirect
66. C₇×#541	C₂²	semidirect
72. C₇×#536	C₂²	semidirect
73. C₇×#536	C₂²	semidirect
74. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
77. C₇×#529	C₂²	semidirect
83. C₇×#497	C₂²	semidirect
84. C₇×#497	C₂²	semidirect
85. C₇×#497	C₂²	semidirect
87. C₇×#495	C₂²	semidirect
89. C₇×#491	C₂²	semidirect
90. C₇×#491	C₂²	semidirect
91. C₇×#491	C₂²	semidirect
92. C₇×#489	C₂²	semidirect
93. C₇×#488	C₂²	semidirect
94. C₇×#487	C₂²	semidirect
95. C₇×#485	C₂²	semidirect
96. C₇×#485	C₂²	semidirect
97. C₇×#484	C₂²	semidirect
98. C₇×#483	C₂²	semidirect
99. C₇×#483	C₂²	semidirect
100. C₇×#480	C₂²	semidirect
101. C₇×#479	C₂²	semidirect
102. C₇×#479	C₂²	semidirect
103. C₇×#479	C₂²	semidirect
104. C₇×#479	C₂²	semidirect
106. C₇×#478	C₂²	semidirect
107. C₇×#478	C₂²	semidirect
108. C₇×#478	C₂²	semidirect
109. C₇×#477	C₂²	semidirect
110. C₇×#475	C₂²	semidirect
111. C₇×#470	C₂²	semidirect
113. C₇×#468	C₂²	semidirect
114. C₇×#468	C₂²	semidirect
115. C₇×#467	C₂²	semidirect
116. C₇×#467	C₂²	semidirect
120. C₇×#465	C₂²	semidirect
121. C₇×#465	C₂²	semidirect
122. C₇×#465	C₂²	semidirect
123. C₇×#464	C₂²	semidirect
124. C₇×#464	C₂²	semidirect
125. C₇×#464	C₂²	semidirect
126. C₇×#464	C₂²	semidirect
127. C₇×#464	C₂²	semidirect
131. C₇×#463	C₂²	semidirect
132. C₇×#463	C₂²	semidirect
133. C₇×#463	C₂²	semidirect
134. C₇×#463	C₂²	semidirect
135. C₇×#462	C₂²	semidirect
136. C₇×#462	C₂²	semidirect
137. C₇×#462	C₂²	semidirect
144. C₇×#461	C₂²	semidirect
145. C₇×#461	C₂²	semidirect
146. C₇×#461	C₂²	semidirect
147. C₇×#461	C₂²	semidirect
148. C₇×#461	C₂²	semidirect
149. C₇×#461	C₂²	semidirect
150. C₇×#461	C₂²	semidirect
155. C₇×#452	C₂²	semidirect
156. C₇×#451	C₂²	semidirect
157. C₇×#451	C₂²	semidirect
158. C₇×#451	C₂²	semidirect
163. C₇×#449	C₂²	semidirect
164. C₇×#449	C₂²	semidirect
168. C₇×#448	C₂²	semidirect
169. C₇×#448	C₂²	semidirect
171. C₇×#446	C₂²	semidirect
172. C₇×#446	C₂²	semidirect
174. C₇×#442	C₂²	semidirect
175. C₇×#441	C₂²	semidirect
179. C₇×#440	C₂²	semidirect
180. C₇×#440	C₂²	semidirect
181. C₄×C₇×Q₁₆	C₂²	semidirect
184. C₄×C₇×SD₁₆	C₂²	semidirect
186. C₇×#435	C₂²	semidirect
187. C₇×#435	C₂²	semidirect
188. C₇×#435	C₂²	semidirect
190. C₇×C₈×D₄	C₂²	semidirect
191. C₇×#433	C₂²	semidirect
192. C₇×#433	C₂²	semidirect
193. C₇×#432	C₂²	semidirect
194. C₇×#424	C₂²	semidirect
195. C₇×#424	C₂²	semidirect
196. C₂×C₇×C₄⋊C₈	C₂²	semidirect
197. C₇×#419	C₂²	semidirect
198. C₇×#417	C₂²	semidirect
199. C₇×#416	C₂²	semidirect
200. C₂×C₇×#103	C₂²	semidirect
201. C₂×C₇×#103	C₂²	semidirect
202. C₂×C₇×#103	C₂²	semidirect
203. #62008	C₇	direct (N × H)
485. #3552	C₂×C₇	semidirect
486. #3513	C₂×C₇	semidirect
487. #3401	C₂×C₇	semidirect
488. #3400	C₂×C₇	semidirect
489. #3376	C₂×C₇	semidirect
490. #3372	C₂×C₇	semidirect
491. #3320	C₂×C₇	semidirect
492. #3312	C₂×C₇	semidirect
493. #3308	C₂×C₇	semidirect
494. #3307	C₂×C₇	semidirect
495. #3300	C₂×C₇	semidirect
496. #3298	C₂×C₇	semidirect
497. #3282	C₂×C₇	semidirect
498. D₄×SD₁₆	C₂×C₇	semidirect
499. #3267	C₂×C₇	semidirect
500. #3266	C₂×C₇	semidirect
501. #3266	C₂×C₇	semidirect
502. #3265	C₂×C₇	semidirect
503. #3260	C₂×C₇	semidirect
504. #3258	C₂×C₇	semidirect
505. #3250	C₂×C₇	semidirect
506. #3225	C₂×C₇	semidirect
507. #3221	C₂×C₇	semidirect
508. #3218	C₂×C₇	semidirect
509. #3123	C₂×C₇	semidirect
510. #3120	C₂×C₇	semidirect
511. #3114	C₂×C₇	semidirect
512. #3046	C₂×C₇	semidirect
513. #3042	C₂×C₇	semidirect
514. C₂×#461	C₂×C₇	semidirect
515. #2992	C₂×C₇	semidirect
747. #557	C₂²×C₇	semidirect
748. #556	C₂²×C₇	semidirect
758. D₄×Q₈	C₂²×C₇	semidirect
759. D₄×Q₈	C₂²×C₇	semidirect
761. #548	C₂²×C₇	semidirect
763. #547	C₂²×C₇	semidirect
771. #541	C₂²×C₇	semidirect
772. #541	C₂²×C₇	semidirect
778. #536	C₂²×C₇	semidirect
779. #536	C₂²×C₇	semidirect
780. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
783. #529	C₂²×C₇	semidirect
789. #497	C₂²×C₇	semidirect
790. #497	C₂²×C₇	semidirect
791. #497	C₂²×C₇	semidirect
793. #495	C₂²×C₇	semidirect
795. #491	C₂²×C₇	semidirect
796. #491	C₂²×C₇	semidirect
797. #491	C₂²×C₇	semidirect
798. #489	C₂²×C₇	semidirect
799. #488	C₂²×C₇	semidirect
800. #487	C₂²×C₇	semidirect
801. #485	C₂²×C₇	semidirect
802. #485	C₂²×C₇	semidirect
803. #484	C₂²×C₇	semidirect
804. #483	C₂²×C₇	semidirect
805. #483	C₂²×C₇	semidirect
806. #480	C₂²×C₇	semidirect
807. #479	C₂²×C₇	semidirect
808. #479	C₂²×C₇	semidirect
809. #479	C₂²×C₇	semidirect
810. #479	C₂²×C₇	semidirect
812. #478	C₂²×C₇	semidirect
813. #478	C₂²×C₇	semidirect
814. #478	C₂²×C₇	semidirect
815. #477	C₂²×C₇	semidirect
816. #475	C₂²×C₇	semidirect
817. #470	C₂²×C₇	semidirect
819. #468	C₂²×C₇	semidirect
820. #468	C₂²×C₇	semidirect
821. #467	C₂²×C₇	semidirect
822. #467	C₂²×C₇	semidirect
826. #465	C₂²×C₇	semidirect
827. #465	C₂²×C₇	semidirect
828. #465	C₂²×C₇	semidirect
829. #464	C₂²×C₇	semidirect
830. #464	C₂²×C₇	semidirect
831. #464	C₂²×C₇	semidirect
832. #464	C₂²×C₇	semidirect
833. #464	C₂²×C₇	semidirect
837. #463	C₂²×C₇	semidirect
838. #463	C₂²×C₇	semidirect
839. #463	C₂²×C₇	semidirect
840. #463	C₂²×C₇	semidirect
841. #462	C₂²×C₇	semidirect
842. #462	C₂²×C₇	semidirect
843. #462	C₂²×C₇	semidirect
850. #461	C₂²×C₇	semidirect
851. #461	C₂²×C₇	semidirect
852. #461	C₂²×C₇	semidirect
853. #461	C₂²×C₇	semidirect
854. #461	C₂²×C₇	semidirect
855. #461	C₂²×C₇	semidirect
856. #461	C₂²×C₇	semidirect
861. #452	C₂²×C₇	semidirect
862. #451	C₂²×C₇	semidirect
863. #451	C₂²×C₇	semidirect
864. #451	C₂²×C₇	semidirect
869. #449	C₂²×C₇	semidirect
870. #449	C₂²×C₇	semidirect
874. #448	C₂²×C₇	semidirect
875. #448	C₂²×C₇	semidirect
877. #446	C₂²×C₇	semidirect
878. #446	C₂²×C₇	semidirect
880. #442	C₂²×C₇	semidirect
881. #441	C₂²×C₇	semidirect
885. #440	C₂²×C₇	semidirect
886. #440	C₂²×C₇	semidirect
887. C₄×Q₁₆	C₂²×C₇	semidirect
890. C₄×SD₁₆	C₂²×C₇	semidirect
892. #435	C₂²×C₇	semidirect
893. #435	C₂²×C₇	semidirect
894. #435	C₂²×C₇	semidirect
896. C₈×D₄	C₂²×C₇	semidirect
897. #433	C₂²×C₇	semidirect
898. #433	C₂²×C₇	semidirect
899. #432	C₂²×C₇	semidirect
900. #424	C₂²×C₇	semidirect
901. #424	C₂²×C₇	semidirect
902. C₂×C₄⋊C₈	C₂²×C₇	semidirect
903. #419	C₂²×C₇	semidirect
904. #417	C₂²×C₇	semidirect
905. #416	C₂²×C₇	semidirect
906. C₂×#103	C₂²×C₇	semidirect
907. C₂×#103	C₂²×C₇	semidirect
908. C₂×#103	C₂²×C₇	semidirect
1695. C₇	#62008	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×#3552	2
C₇×#3513	2
C₇×#3401	2
C₇×#3400	2
C₇×#3376	2
C₇×#3372	2
C₇×#3320	2
C₇×#3312	2
C₇×#3308	2
C₇×#3307	2
C₇×#3300	2
C₇×#3298	2
C₇×#3282	2
C₇×D₄×SD₁₆	2
C₇×#3267	2
C₇×#3266	2
C₇×#3265	2
C₇×#3260	2
C₇×#3258	2
C₇×#3250	2
C₇×#3225	2
C₇×#3221	2
C₇×#3218	2
C₇×#3123	2
C₇×#3120	2
C₇×#3114	2
C₇×#3046	2
C₇×#3042	2
C₂×C₇×#461	2
C₇×#2992	2
#62008	7

Subgroups — C7×#62008 #13239224

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62008 #13239224