Subgroups — C₇×#62012 #13239228

Order 1792.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3317	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3316	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3314	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3300	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3296	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3284	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3283	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3269	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3269	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3267	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3261	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3260	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3248	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3223	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3222	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3216	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3045	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3035	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, complemented
33	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₇×#135	C₂²	1	1	yes	characteristic
35	C₂×C₇×#135	C₂²	1	1	yes	characteristic
36	C₂×C₇×#135	C₂²	1	1	yes	characteristic
37	C₂×C₇×#135	C₂²	1	1	yes	characteristic, complemented
38	C₇×#562	—	2	1	no	—
39	C₇×#560	—	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
43	C₇×#554	C₂²	1	1	yes	characteristic
44	C₇×#554	C₂²	1	1	yes	characteristic, complemented
45	C₇×#553	—	2	1	no	—
46	C₇×#553	—	2	1	no	—
47	C₇×#552	—	2	1	no	—
48	C₇×#552	—	2	1	no	—
49	C₇×#552	—	2	1	no	—
50	C₇×#552	C₂²	1	1	yes	characteristic
51	C₇×#552	C₂²	1	1	yes	characteristic, complemented
52	C₇×#551	—	2	1	no	—
53	C₇×#550	C₂²	1	1	yes	characteristic
54	C₇×#548	C₂²	1	1	yes	characteristic
55	C₇×#548	C₂²	1	1	yes	characteristic
56	C₇×#547	C₂²	1	1	yes	characteristic
57	C₇×#547	C₂²	1	1	yes	characteristic
58	C₇×#547	C₂²	1	1	yes	characteristic
59	C₇×#547	C₂²	1	1	yes	characteristic, complemented
60	C₇×#546	C₂²	1	1	yes	characteristic
61	C₇×#546	C₂²	1	1	yes	characteristic
62	C₇×#541	C₂²	1	1	yes	characteristic
63	C₇×#541	C₂²	1	1	yes	characteristic
64	C₇×#541	C₂²	1	1	yes	characteristic, complemented
65	C₇×#540	—	2	1	no	—
66	C₇×#540	C₂²	1	1	yes	characteristic
67	C₇×#539	—	2	1	no	—
68	C₇×#539	—	2	1	no	—
69	C₇×#539	—	2	1	no	—
70	C₇×#538	—	2	1	no	—
71	C₇×#538	—	2	1	no	—
72	C₇×#536	C₂²	1	1	yes	characteristic
73	C₇×#535	C₂²	1	1	yes	characteristic
74	C₇×#533	C₂²	1	1	yes	characteristic, complemented
75	C₇×#532	C₂²	1	1	yes	characteristic
76	C₇×#529	—	2	1	no	—
77	C₇×#529	C₂²	1	1	yes	characteristic
78	C₇×#529	C₂²	1	1	yes	characteristic
79	C₂×C₇×#125	—	2	1	no	—
80	C₇×#520	C₂²	1	1	yes	characteristic
81	C₇×#520	C₂²	1	1	yes	characteristic, complemented
82	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
83	C₇×#497	C₂²	1	1	yes	characteristic
84	C₇×#497	C₂²	1	1	yes	characteristic
85	C₇×#497	C₂²	1	1	yes	characteristic
86	C₇×#497	C₂²	1	1	yes	characteristic, complemented
87	C₇×#494	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×#490	C₂²	1	1	yes	characteristic
91	C₇×#489	C₂²	1	1	yes	characteristic
92	C₇×#489	C₂²	1	1	yes	characteristic, complemented
93	C₇×#488	C₂²	1	1	yes	characteristic
94	C₇×#488	C₂²	1	1	yes	characteristic
95	C₇×#485	C₂²	1	1	yes	characteristic, complemented
96	C₇×#484	C₂²	1	1	yes	characteristic
97	C₇×#483	C₂²	1	1	yes	characteristic
98	C₇×#482	C₂²	1	1	yes	characteristic
99	C₇×#481	C₂²	1	1	yes	characteristic, complemented
100	C₇×#480	C₂²	1	1	yes	characteristic
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×#479	C₂²	1	1	yes	characteristic, complemented
106	C₇×#478	C₂²	1	1	yes	characteristic
107	C₇×#478	C₂²	1	1	yes	characteristic, complemented
108	C₇×#478	C₂²	1	1	yes	characteristic, complemented
109	C₇×#475	C₂²	1	1	yes	characteristic, complemented
110	C₇×#474	C₂²	1	1	yes	characteristic
111	C₇×#470	C₂²	1	1	yes	characteristic
112	C₇×#470	C₂²	1	1	yes	characteristic
113	C₇×#468	C₂²	1	1	yes	characteristic
114	C₇×#468	C₂²	1	1	yes	characteristic, complemented
115	C₇×#467	C₂²	1	1	yes	characteristic
116	C₇×#467	C₂²	1	1	yes	characteristic
117	C₇×#467	C₂²	1	1	yes	characteristic, complemented
118	C₇×#467	C₂²	1	1	yes	characteristic, complemented
119	C₇×#465	C₂²	1	1	yes	characteristic
120	C₇×#465	C₂²	1	1	yes	characteristic
121	C₇×#465	C₂²	1	1	yes	characteristic
122	C₇×#465	C₂²	1	1	yes	characteristic, complemented
123	C₇×#464	C₂²	1	1	yes	characteristic
124	C₇×#464	C₂²	1	1	yes	characteristic
125	C₇×#464	C₂²	1	1	yes	characteristic
126	C₇×#464	C₂²	1	1	yes	characteristic
127	C₇×#464	C₂²	1	1	yes	characteristic
128	C₇×#464	C₂²	1	1	yes	characteristic
129	C₇×#464	C₂²	1	1	yes	characteristic, complemented
130	C₇×#463	C₂²	1	1	yes	characteristic
131	C₇×#463	C₂²	1	1	yes	characteristic
132	C₇×#463	C₂²	1	1	yes	characteristic
133	C₇×#463	C₂²	1	1	yes	characteristic
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×#462	C₂²	1	1	yes	characteristic, complemented
139	C₇×#462	C₂²	1	1	yes	characteristic, complemented
140	C₇×#462	C₂²	1	1	yes	characteristic, complemented
141	C₇×#462	C₂²	1	1	yes	characteristic, complemented
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×#460	C₂²	1	1	yes	characteristic
148	C₇×#460	C₂²	1	1	yes	characteristic
149	C₇×#460	C₂²	1	1	yes	characteristic
150	C₇×#460	C₂²	1	1	yes	characteristic
151	C₇×#459	C₂²	1	1	yes	characteristic
152	C₇×#459	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
156	C₇×#452	C₂²	1	1	yes	characteristic
157	C₇×#452	C₂²	1	1	yes	characteristic
158	C₇×#452	C₂²	1	1	yes	characteristic
159	C₇×#452	C₂²	1	1	yes	characteristic
160	C₇×#452	C₂²	1	1	yes	characteristic
161	C₇×#452	C₂²	1	1	yes	characteristic, complemented
162	C₇×#452	C₂²	1	1	yes	characteristic, complemented
163	C₇×#452	C₂²	1	1	yes	characteristic, complemented
164	C₇×#451	C₂²	1	1	yes	characteristic, complemented
165	C₇×#451	C₂²	1	1	yes	characteristic, complemented
166	C₇×#450	C₂²	1	1	yes	characteristic
167	C₇×#450	C₂²	1	1	yes	characteristic
168	C₇×#449	C₂²	1	1	yes	characteristic
169	C₇×#449	C₂²	1	1	yes	characteristic
170	C₇×#449	C₂²	1	1	yes	characteristic, complemented
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
175	C₇×#441	C₂²	1	1	yes	characteristic, complemented
176	C₇×#441	C₂²	1	1	yes	characteristic, complemented
177	C₇×#440	C₂²	1	1	yes	characteristic
178	C₇×#440	C₂²	1	1	yes	characteristic, complemented
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, complemented
184	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
185	C₇×#435	C₂²	1	1	yes	characteristic
186	C₇×#435	C₂²	1	1	yes	characteristic
187	C₇×#435	C₂²	1	1	yes	characteristic
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
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
195	C₇×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₇×#417	C₂²	1	1	yes	characteristic
198	C₇×#417	C₂²	1	1	yes	characteristic
199	C₇×#416	C₂²	1	1	yes	characteristic
200	C₇×#416	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₇×#102	C₂²	1	1	yes	characteristic
203	#62012	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
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	C₂×C₇×#41	C₂³	1	1	yes	characteristic
209	C₂×C₇×#41	C₂³	1	1	yes	characteristic
210	C₂×C₇×#41	C₂³	1	1	yes	characteristic
211	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
212	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
213	C₇×#137	—	4	2	no	—
214	C₇×AGL(1,ℤ/8)	—	4	2	no	—
215	C₇×#135	—	4	2	no	—
216	C₇×#135	—	4	2	no	—
217	C₇×#135	—	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×Q₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₇×Q₁₆	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×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
245	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
246	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
247	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
248	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
249	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
250	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
251	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
252	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₇×#127	—	2	1	no	—
256	C₇×#127	C₂³	1	1	yes	characteristic
257	C₇×#127	C₂³	1	1	yes	characteristic
258	C₇×#126	—	2	1	no	—
259	C₇×#126	—	2	1	no	—
260	C₇×#126	—	2	1	no	—
261	C₇×#126	—	2	1	no	—
262	C₇×#126	—	2	1	no	—
263	C₇×#126	—	2	1	no	—
264	C₇×#126	—	2	1	no	—
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	D₄	1	1	yes	characteristic
270	C₇×#126	D₄	1	1	yes	characteristic
271	C₇×#125	—	2	1	no	—
272	C₇×#125	—	2	1	no	—
273	C₇×#125	—	2	1	no	—
274	C₇×#125	—	2	1	no	—
275	C₇×#125	—	2	1	no	—
276	C₇×#125	—	2	1	no	—
277	C₇×#125	—	2	1	no	—
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	D₄	1	1	yes	characteristic
285	C₇×#125	C₂³	1	1	yes	characteristic
286	C₇×#125	C₂³	1	1	yes	characteristic
287	C₇×#125	C₂³	1	1	yes	characteristic
288	C₇×#124	—	2	1	no	—
289	C₇×#124	—	2	1	no	—
290	C₇×#124	—	2	1	no	—
291	C₇×#124	D₄	1	1	yes	characteristic
292	C₇×#124	C₂³	1	1	yes	characteristic
293	C₇×#124	C₂³	1	1	yes	characteristic
294	C₇×#124	C₂³	1	1	yes	characteristic
295	C₇×#124	C₂³	1	1	yes	characteristic
296	C₇×#124	C₂³	1	1	yes	characteristic
297	C₇×#123	—	2	1	no	—
298	C₇×#123	—	2	1	no	—
299	C₇×#123	—	2	1	no	—
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	D₄	1	1	yes	characteristic
317	C₇×#123	D₄	1	1	yes	characteristic
318	C₇×C₂²⋊Q₈	—	2	1	no	—
319	C₇×C₂²⋊Q₈	—	2	1	no	—
320	C₇×C₂²⋊Q₈	—	2	1	no	—
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	D₄	1	1	yes	characteristic
330	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
331	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₇×#121	—	2	1	no	—
340	C₇×#121	—	2	1	no	—
341	C₇×#121	—	2	1	no	—
342	C₇×#121	—	2	1	no	—
343	C₇×#121	—	2	1	no	—
344	C₇×#121	—	2	1	no	—
345	C₇×#121	—	2	1	no	—
346	C₇×#121	—	2	1	no	—
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	D₄	1	1	yes	characteristic
356	C₇×#121	C₂³	1	1	yes	characteristic
357	C₇×#121	C₂³	1	1	yes	characteristic
358	C₇×#121	C₂³	1	1	yes	characteristic
359	C₇×#120	—	2	1	no	—
360	C₇×#120	—	2	1	no	—
361	C₇×#120	—	2	1	no	—
362	C₇×#120	—	2	1	no	—
363	C₄×C₇×Q₈	—	2	1	no	—
364	C₄×C₇×Q₈	—	2	1	no	—
365	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
366	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
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	C₇×#117	—	2	1	no	—
400	C₇×#117	—	2	1	no	—
401	C₇×#117	—	2	1	no	—
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	—	2	1	no	—
416	C₂×C₇×C₄⋊C₄	—	2	1	no	—
417	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
419	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
420	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
421	C₂×C₄²×C₇	—	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×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	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	#3562	C₂×C₇	1	1	yes	characteristic, complemented
486	#3515	C₂×C₇	1	1	yes	characteristic, complemented
487	#3400	C₂×C₇	1	1	yes	characteristic, complemented
488	#3398	C₂×C₇	1	1	yes	characteristic, complemented
489	#3376	C₂×C₇	1	1	yes	characteristic, complemented
490	#3370	C₂×C₇	1	1	yes	characteristic, complemented
491	#3317	C₂×C₇	1	1	yes	characteristic, complemented
492	#3316	C₂×C₇	1	1	yes	characteristic, complemented
493	#3315	C₂×C₇	1	1	yes	characteristic, complemented
494	#3314	C₂×C₇	1	1	yes	characteristic, complemented
495	#3300	C₂×C₇	1	1	yes	characteristic, complemented
496	#3296	C₂×C₇	1	1	yes	characteristic, complemented
497	#3284	C₂×C₇	1	1	yes	characteristic, complemented
498	#3283	C₂×C₇	1	1	yes	characteristic, complemented
499	#3269	C₂×C₇	1	1	yes	characteristic, complemented
500	#3269	C₂×C₇	1	1	yes	characteristic, complemented
501	#3267	C₂×C₇	1	1	yes	characteristic, complemented
502	#3267	C₂×C₇	1	1	yes	characteristic, complemented
503	#3261	C₂×C₇	1	1	yes	characteristic, complemented
504	#3260	C₂×C₇	1	1	yes	characteristic, complemented
505	#3248	C₂×C₇	1	1	yes	characteristic, complemented
506	#3223	C₂×C₇	1	1	yes	characteristic, complemented
507	#3222	C₂×C₇	1	1	yes	characteristic, complemented
508	#3216	C₂×C₇	1	1	yes	characteristic, complemented
509	#3120	C₂×C₇	1	1	yes	characteristic, complemented
510	#3119	C₂×C₇	1	1	yes	characteristic, complemented
511	#3111	C₂×C₇	1	1	yes	characteristic, complemented
512	#3046	C₂×C₇	1	1	yes	characteristic, complemented
513	#3045	C₂×C₇	1	1	yes	characteristic, complemented
514	#3035	C₂×C₇	1	1	yes	characteristic, complemented
515	#2992	C₂×C₇	1	1	yes	characteristic, complemented
516	C₂⁴×C₇	—	2	1	no	—
517	C₇×#41	—	2	2	no	—
518	C₇×#41	—	2	2	no	—
519	C₇×#41	—	2	2	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	—	4	1	no	—
525	C₇×#41	—	4	1	no	—
526	C₇×#41	—	4	1	no	—
527	C₇×#41	—	4	1	no	—
528	C₇×#41	—	4	1	no	—
529	C₇×#41	—	4	1	no	—
530	C₇×#41	—	4	1	no	—
531	C₂×C₇×Q₈	—	2	1	no	—
532	C₂×C₇×Q₈	—	2	1	no	—
533	C₂×C₇×Q₈	—	4	1	no	—
534	C₂×C₇×Q₈	—	4	1	no	—
535	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
536	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₇×Q₈	C₂⁴	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×D₄	—	2	1	no	—
543	C₂×C₇×D₄	—	2	1	no	—
544	C₂×C₇×D₄	—	2	1	no	—
545	C₂×C₇×D₄	—	2	1	no	—
546	C₂×C₇×D₄	—	2	1	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	—	4	1	no	—
558	C₂×C₇×D₄	—	4	1	no	—
559	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
560	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
561	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
562	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
563	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
564	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
565	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₇	—	2	1	no	—
567	C₂²×C₄×C₇	—	2	1	no	—
568	C₂²×C₄×C₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
584	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
585	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
588	C₇×Q₁₆	—	4	1	no	—
589	C₇×Q₁₆	—	4	1	no	—
590	C₇×Q₁₆	—	4	1	no	—
591	C₇×Q₁₆	—	4	1	no	—
592	C₇×Q₁₆	—	4	1	no	—
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×SD₁₆	—	2	2	no	—
598	C₇×SD₁₆	—	2	2	no	—
599	C₇×SD₁₆	—	2	2	no	—
600	C₇×SD₁₆	—	4	1	no	—
601	C₇×SD₁₆	—	4	1	no	—
602	C₇×SD₁₆	—	4	1	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×D₈	—	2	2	no	—
610	C₇×D₈	—	2	2	no	—
611	C₇×D₈	—	2	2	no	—
612	C₇×M₁₆	—	4	1	no	—
613	C₇×M₁₆	—	4	1	no	—
614	C₂×C₇×C₈	—	4	1	no	—
615	C₂×C₇×C₈	—	4	1	no	—
616	C₂×C₇×C₈	—	4	1	no	—
617	C₂×C₇×C₈	—	4	1	no	—
618	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
619	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
620	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
621	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
622	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	—	2	1	no	—
627	C₇×C₄⋊C₄	—	2	1	no	—
628	C₇×C₄⋊C₄	—	2	1	no	—
629	C₇×C₄⋊C₄	—	2	1	no	—
630	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
664	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
674	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
675	C₇×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
680	C₇×C₂²⋊C₄	—	2	1	no	—
681	C₇×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
710	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
711	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
712	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
713	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₇	—	2	1	no	—
720	C₄²×C₇	—	2	1	no	—
721	C₄²×C₇	—	2	1	no	—
722	C₄²×C₇	—	2	1	no	—
723	C₄²×C₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
730	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
731	C₄²×C₇	C₂⁴	1	1	yes	characteristic
732	C₄²×C₇	C₂⁴	1	1	yes	characteristic
733	C₄²×C₇	C₂⁴	1	1	yes	characteristic
734	C₄²×C₇	C₂⁴	1	1	yes	characteristic
735	C₂×#137	C₂²×C₇	1	1	yes	characteristic, complemented
736	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
737	C₂×#135	C₂²×C₇	1	1	yes	characteristic
738	C₂×#135	C₂²×C₇	1	1	yes	characteristic
739	C₂×#135	C₂²×C₇	1	1	yes	characteristic
740	C₂×#135	C₂²×C₇	1	1	yes	characteristic, complemented
741	#562	—	2	1	no	—
742	#560	—	2	1	no	—
743	#559	C₂²×C₇	1	1	yes	characteristic
744	#557	C₂²×C₇	1	1	yes	characteristic, complemented
745	#556	C₂²×C₇	1	1	yes	characteristic
746	#554	C₂²×C₇	1	1	yes	characteristic
747	#554	C₂²×C₇	1	1	yes	characteristic, complemented
748	#553	—	2	1	no	—
749	#553	—	2	1	no	—
750	#552	—	2	1	no	—
751	#552	—	2	1	no	—
752	#552	—	2	1	no	—
753	#552	C₂²×C₇	1	1	yes	characteristic
754	#552	C₂²×C₇	1	1	yes	characteristic, complemented
755	#551	—	2	1	no	—
756	#550	C₂²×C₇	1	1	yes	characteristic
757	#548	C₂²×C₇	1	1	yes	characteristic
758	#548	C₂²×C₇	1	1	yes	characteristic
759	#547	C₂²×C₇	1	1	yes	characteristic
760	#547	C₂²×C₇	1	1	yes	characteristic
761	#547	C₂²×C₇	1	1	yes	characteristic
762	#547	C₂²×C₇	1	1	yes	characteristic, complemented
763	#546	C₂²×C₇	1	1	yes	characteristic
764	#546	C₂²×C₇	1	1	yes	characteristic
765	#541	C₂²×C₇	1	1	yes	characteristic
766	#541	C₂²×C₇	1	1	yes	characteristic
767	#541	C₂²×C₇	1	1	yes	characteristic, complemented
768	#540	—	2	1	no	—
769	#540	C₂²×C₇	1	1	yes	characteristic
770	#539	—	2	1	no	—
771	#539	—	2	1	no	—
772	#539	—	2	1	no	—
773	#538	—	2	1	no	—
774	#538	—	2	1	no	—
775	#536	C₂²×C₇	1	1	yes	characteristic
776	#535	C₂²×C₇	1	1	yes	characteristic
777	#533	C₂²×C₇	1	1	yes	characteristic, complemented
778	#532	C₂²×C₇	1	1	yes	characteristic
779	#529	—	2	1	no	—
780	#529	C₂²×C₇	1	1	yes	characteristic
781	#529	C₂²×C₇	1	1	yes	characteristic
782	C₂×#125	—	2	1	no	—
783	#520	C₂²×C₇	1	1	yes	characteristic
784	#520	C₂²×C₇	1	1	yes	characteristic, complemented
785	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
786	#497	C₂²×C₇	1	1	yes	characteristic
787	#497	C₂²×C₇	1	1	yes	characteristic
788	#497	C₂²×C₇	1	1	yes	characteristic
789	#497	C₂²×C₇	1	1	yes	characteristic, complemented
790	#494	C₂²×C₇	1	1	yes	characteristic, complemented
791	#492	C₂²×C₇	1	1	yes	characteristic
792	#491	C₂²×C₇	1	1	yes	characteristic, complemented
793	#490	C₂²×C₇	1	1	yes	characteristic
794	#489	C₂²×C₇	1	1	yes	characteristic
795	#489	C₂²×C₇	1	1	yes	characteristic, complemented
796	#488	C₂²×C₇	1	1	yes	characteristic
797	#488	C₂²×C₇	1	1	yes	characteristic
798	#485	C₂²×C₇	1	1	yes	characteristic, complemented
799	#484	C₂²×C₇	1	1	yes	characteristic
800	#483	C₂²×C₇	1	1	yes	characteristic
801	#482	C₂²×C₇	1	1	yes	characteristic
802	#481	C₂²×C₇	1	1	yes	characteristic, complemented
803	#480	C₂²×C₇	1	1	yes	characteristic
804	#479	C₂²×C₇	1	1	yes	characteristic, complemented
805	#479	C₂²×C₇	1	1	yes	characteristic, complemented
806	#479	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	#478	C₂²×C₇	1	1	yes	characteristic
810	#478	C₂²×C₇	1	1	yes	characteristic, complemented
811	#478	C₂²×C₇	1	1	yes	characteristic, complemented
812	#475	C₂²×C₇	1	1	yes	characteristic, complemented
813	#474	C₂²×C₇	1	1	yes	characteristic
814	#470	C₂²×C₇	1	1	yes	characteristic
815	#470	C₂²×C₇	1	1	yes	characteristic
816	#468	C₂²×C₇	1	1	yes	characteristic
817	#468	C₂²×C₇	1	1	yes	characteristic, complemented
818	#467	C₂²×C₇	1	1	yes	characteristic
819	#467	C₂²×C₇	1	1	yes	characteristic
820	#467	C₂²×C₇	1	1	yes	characteristic, complemented
821	#467	C₂²×C₇	1	1	yes	characteristic, complemented
822	#465	C₂²×C₇	1	1	yes	characteristic
823	#465	C₂²×C₇	1	1	yes	characteristic
824	#465	C₂²×C₇	1	1	yes	characteristic
825	#465	C₂²×C₇	1	1	yes	characteristic, complemented
826	#464	C₂²×C₇	1	1	yes	characteristic
827	#464	C₂²×C₇	1	1	yes	characteristic
828	#464	C₂²×C₇	1	1	yes	characteristic
829	#464	C₂²×C₇	1	1	yes	characteristic
830	#464	C₂²×C₇	1	1	yes	characteristic
831	#464	C₂²×C₇	1	1	yes	characteristic
832	#464	C₂²×C₇	1	1	yes	characteristic, complemented
833	#463	C₂²×C₇	1	1	yes	characteristic
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	#462	C₂²×C₇	1	1	yes	characteristic, complemented
839	#462	C₂²×C₇	1	1	yes	characteristic, complemented
840	#462	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	#462	C₂²×C₇	1	1	yes	characteristic, complemented
845	#461	C₂²×C₇	1	1	yes	characteristic
846	#461	C₂²×C₇	1	1	yes	characteristic
847	#461	C₂²×C₇	1	1	yes	characteristic, complemented
848	#461	C₂²×C₇	1	1	yes	characteristic, complemented
849	#461	C₂²×C₇	1	1	yes	characteristic, complemented
850	#460	C₂²×C₇	1	1	yes	characteristic
851	#460	C₂²×C₇	1	1	yes	characteristic
852	#460	C₂²×C₇	1	1	yes	characteristic
853	#460	C₂²×C₇	1	1	yes	characteristic
854	#459	C₂²×C₇	1	1	yes	characteristic
855	#459	C₂²×C₇	1	1	yes	characteristic
856	#452	C₂²×C₇	1	1	yes	characteristic
857	#452	C₂²×C₇	1	1	yes	characteristic
858	#452	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
862	#452	C₂²×C₇	1	1	yes	characteristic
863	#452	C₂²×C₇	1	1	yes	characteristic
864	#452	C₂²×C₇	1	1	yes	characteristic, complemented
865	#452	C₂²×C₇	1	1	yes	characteristic, complemented
866	#452	C₂²×C₇	1	1	yes	characteristic, complemented
867	#451	C₂²×C₇	1	1	yes	characteristic, complemented
868	#451	C₂²×C₇	1	1	yes	characteristic, complemented
869	#450	C₂²×C₇	1	1	yes	characteristic
870	#450	C₂²×C₇	1	1	yes	characteristic
871	#449	C₂²×C₇	1	1	yes	characteristic
872	#449	C₂²×C₇	1	1	yes	characteristic
873	#449	C₂²×C₇	1	1	yes	characteristic, complemented
874	#446	C₂²×C₇	1	1	yes	characteristic, complemented
875	#446	C₂²×C₇	1	1	yes	characteristic, complemented
876	#442	C₂²×C₇	1	1	yes	characteristic
877	#442	C₂²×C₇	1	1	yes	characteristic
878	#441	C₂²×C₇	1	1	yes	characteristic, complemented
879	#441	C₂²×C₇	1	1	yes	characteristic, complemented
880	#440	C₂²×C₇	1	1	yes	characteristic
881	#440	C₂²×C₇	1	1	yes	characteristic, complemented
882	#440	C₂²×C₇	1	1	yes	characteristic, complemented
883	#440	C₂²×C₇	1	1	yes	characteristic, complemented
884	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
885	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
886	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
887	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
888	#435	C₂²×C₇	1	1	yes	characteristic
889	#435	C₂²×C₇	1	1	yes	characteristic
890	#435	C₂²×C₇	1	1	yes	characteristic
891	#435	C₂²×C₇	1	1	yes	characteristic, complemented
892	C₈×D₄	C₂²×C₇	1	1	yes	characteristic
893	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
894	#433	C₂²×C₇	1	1	yes	characteristic
895	#433	C₂²×C₇	1	1	yes	characteristic, complemented
896	#432	C₂²×C₇	1	1	yes	characteristic, complemented
897	#424	C₂²×C₇	1	1	yes	characteristic
898	#424	C₂²×C₇	1	1	yes	characteristic, complemented
899	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
900	#417	C₂²×C₇	1	1	yes	characteristic
901	#417	C₂²×C₇	1	1	yes	characteristic
902	#416	C₂²×C₇	1	1	yes	characteristic
903	#416	C₂²×C₇	1	1	yes	characteristic, complemented
904	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
905	C₂×#102	C₂²×C₇	1	1	yes	characteristic
906	C₂³×C₇	—	2	1	no	—
907	C₂³×C₇	—	2	1	no	—
908	C₂³×C₇	—	2	1	no	—
909	C₂³×C₇	—	2	1	no	—
910	C₂³×C₇	—	8	1	no	—
911	C₂³×C₇	—	8	1	no	—
912	C₂³×C₇	—	8	1	no	—
913	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
914	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
915	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
916	C₇×Q₈	—	2	1	no	—
917	C₇×Q₈	—	2	1	no	—
918	C₇×Q₈	—	2	1	no	—
919	C₇×Q₈	—	2	1	no	—
920	C₇×Q₈	—	2	1	no	—
921	C₇×Q₈	—	2	1	no	—
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	—	4	1	no	—
929	C₇×Q₈	—	8	1	no	—
930	C₇×Q₈	—	8	1	no	—
931	C₇×D₄	—	2	1	no	—
932	C₇×D₄	—	2	1	no	—
933	C₇×D₄	—	2	1	no	—
934	C₇×D₄	—	2	1	no	—
935	C₇×D₄	—	2	1	no	—
936	C₇×D₄	—	2	1	no	—
937	C₇×D₄	—	2	1	no	—
938	C₇×D₄	—	4	1	no	—
939	C₇×D₄	—	4	1	no	—
940	C₇×D₄	—	4	1	no	—
941	C₇×D₄	—	4	2	no	—
942	C₇×D₄	—	4	2	no	—
943	C₇×D₄	—	4	2	no	—
944	C₇×D₄	—	8	1	no	—
945	C₇×D₄	—	8	1	no	—
946	C₇×D₄	—	8	1	no	—
947	C₇×D₄	—	8	1	no	—
948	C₇×D₄	—	8	1	no	—
949	C₇×D₄	—	8	1	no	—
950	C₇×D₄	—	8	1	no	—
951	C₇×D₄	—	8	1	no	—
952	C₇×D₄	—	8	1	no	—
953	C₇×D₄	—	8	1	no	—
954	C₇×D₄	—	8	1	no	—
955	C₇×D₄	—	8	1	no	—
956	C₇×D₄	H(5,𝔽₂)	1	2	yes	—
957	C₂×C₄×C₇	—	2	1	no	—
958	C₂×C₄×C₇	—	2	1	no	—
959	C₂×C₄×C₇	—	2	1	no	—
960	C₂×C₄×C₇	—	2	1	no	—
961	C₂×C₄×C₇	—	2	1	no	—
962	C₂×C₄×C₇	—	2	1	no	—
963	C₂×C₄×C₇	—	2	1	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	—	4	1	no	—
976	C₂×C₄×C₇	—	4	1	no	—
977	C₂×C₄×C₇	—	4	2	no	—
978	C₂×C₄×C₇	—	4	2	no	—
979	C₂×C₄×C₇	—	4	2	no	—
980	C₂×C₄×C₇	—	4	2	no	—
981	C₂×C₄×C₇	—	8	1	no	—
982	C₂×C₄×C₇	—	8	1	no	—
983	C₂×C₄×C₇	—	8	1	no	—
984	C₂×C₄×C₇	—	8	1	no	—
985	C₂×C₄×C₇	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
995	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
996	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
997	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
998	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
999	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1000	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
1006	C₇×C₈	—	2	1	no	—
1007	C₇×C₈	—	2	1	no	—
1008	C₇×C₈	—	2	1	no	—
1009	C₇×C₈	—	2	1	no	—
1010	C₇×C₈	—	2	1	no	—
1011	C₇×C₈	—	2	1	no	—
1012	C₇×C₈	—	2	1	no	—
1013	C₇×C₈	—	2	1	no	—
1014	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1015	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1016	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1017	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1018	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1019	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1020	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1021	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1022	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1023	#137	—	4	2	no	—
1024	AGL(1,ℤ/8)	—	4	2	no	—
1025	#135	—	4	2	no	—
1026	#135	—	4	2	no	—
1027	#135	—	4	2	no	—
1028	#135	—	4	2	no	—
1029	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1030	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1031	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1032	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1034	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1035	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1037	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1039	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1040	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1041	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1042	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1043	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
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×D₈	C₂³×C₇	1	1	yes	characteristic
1051	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1052	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1053	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1054	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1055	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1056	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1057	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1058	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1060	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1061	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1062	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1063	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1064	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1065	#127	—	2	1	no	—
1066	#127	C₂³×C₇	1	1	yes	characteristic
1067	#127	C₂³×C₇	1	1	yes	characteristic
1068	#126	—	2	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	C₇×D₄	1	1	yes	characteristic
1080	#126	C₇×D₄	1	1	yes	characteristic
1081	#125	—	2	1	no	—
1082	#125	—	2	1	no	—
1083	#125	—	2	1	no	—
1084	#125	—	2	1	no	—
1085	#125	—	2	1	no	—
1086	#125	—	2	1	no	—
1087	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	C₇×D₄	1	1	yes	characteristic
1095	#125	C₂³×C₇	1	1	yes	characteristic
1096	#125	C₂³×C₇	1	1	yes	characteristic
1097	#125	C₂³×C₇	1	1	yes	characteristic
1098	#124	—	2	1	no	—
1099	#124	—	2	1	no	—
1100	#124	—	2	1	no	—
1101	#124	C₇×D₄	1	1	yes	characteristic
1102	#124	C₂³×C₇	1	1	yes	characteristic
1103	#124	C₂³×C₇	1	1	yes	characteristic
1104	#124	C₂³×C₇	1	1	yes	characteristic
1105	#124	C₂³×C₇	1	1	yes	characteristic
1106	#124	C₂³×C₇	1	1	yes	characteristic
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	—	2	1	no	—
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
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	C₇×D₄	1	1	yes	characteristic
1127	#123	C₇×D₄	1	1	yes	characteristic
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1143	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1149	#121	—	2	1	no	—
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	C₇×D₄	1	1	yes	characteristic
1166	#121	C₂³×C₇	1	1	yes	characteristic
1167	#121	C₂³×C₇	1	1	yes	characteristic
1168	#121	C₂³×C₇	1	1	yes	characteristic
1169	#120	—	2	1	no	—
1170	#120	—	2	1	no	—
1171	#120	—	2	1	no	—
1172	#120	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
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	C₂³×C₇	1	1	yes	characteristic
1200	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1201	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1202	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	C₂³×C₇	1	1	yes	characteristic
1218	#117	C₂³×C₇	1	1	yes	characteristic
1219	#117	C₂³×C₇	1	1	yes	characteristic
1220	C₂×C₄⋊C₄	—	2	1	no	—
1221	C₂×C₄⋊C₄	—	2	1	no	—
1222	C₂×C₄⋊C₄	—	2	1	no	—
1223	C₂×C₄⋊C₄	—	2	1	no	—
1224	C₂×C₄⋊C₄	—	2	1	no	—
1225	C₂×C₄⋊C₄	—	2	1	no	—
1226	C₂×C₄⋊C₄	—	2	1	no	—
1227	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1228	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1229	C₂×C₂²⋊C₄	—	2	1	no	—
1230	C₂×C₂²⋊C₄	—	2	1	no	—
1231	C₂×C₄²	—	2	1	no	—
1232	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1233	#107	C₂³×C₇	1	1	yes	characteristic
1234	#107	C₂³×C₇	1	1	yes	characteristic
1235	#107	C₂³×C₇	1	1	yes	characteristic
1236	#107	C₂³×C₇	1	1	yes	characteristic
1237	#106	C₂³×C₇	1	1	yes	characteristic
1238	#106	C₂³×C₇	1	1	yes	characteristic
1239	#106	C₂³×C₇	1	1	yes	characteristic
1240	#106	C₂³×C₇	1	1	yes	characteristic
1241	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1242	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1247	C₄⋊C₈	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	#103	C₂³×C₇	1	1	yes	characteristic
1252	#103	C₂³×C₇	1	1	yes	characteristic
1253	#103	C₂³×C₇	1	1	yes	characteristic
1254	#103	C₂³×C₇	1	1	yes	characteristic
1255	#103	C₂³×C₇	1	1	yes	characteristic
1256	#103	C₂³×C₇	1	1	yes	characteristic
1257	#103	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	#102	C₂³×C₇	1	1	yes	characteristic
1270	#102	C₂³×C₇	1	1	yes	characteristic
1271	#102	C₂³×C₇	1	1	yes	characteristic
1272	#102	C₂³×C₇	1	1	yes	characteristic
1273	#102	C₂³×C₇	1	1	yes	characteristic
1274	#102	C₂³×C₇	1	1	yes	characteristic
1275	#102	C₂³×C₇	1	1	yes	characteristic
1276	#102	C₂³×C₇	1	1	yes	characteristic
1277	#102	C₂³×C₇	1	1	yes	characteristic
1278	#102	C₂³×C₇	1	1	yes	characteristic
1279	#102	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	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1284	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1289	#97	C₂³×C₇	1	1	yes	characteristic
1290	#97	C₂³×C₇	1	1	yes	characteristic
1291	#97	C₂³×C₇	1	1	yes	characteristic
1292	#97	C₂³×C₇	1	1	yes	characteristic
1293	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1294	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1295	C₂²×C₇	—	2	1	no	—
1296	C₂²×C₇	—	2	1	no	—
1297	C₂²×C₇	—	2	1	no	—
1298	C₂²×C₇	—	2	1	no	—
1299	C₂²×C₇	—	2	1	no	—
1300	C₂²×C₇	—	2	1	no	—
1301	C₂²×C₇	—	2	1	no	—
1302	C₂²×C₇	—	2	1	no	—
1303	C₂²×C₇	—	2	1	no	—
1304	C₂²×C₇	—	2	2	no	—
1305	C₂²×C₇	—	4	1	no	—
1306	C₂²×C₇	—	4	1	no	—
1307	C₂²×C₇	—	4	1	no	—
1308	C₂²×C₇	—	4	1	no	—
1309	C₂²×C₇	—	4	1	no	—
1310	C₂²×C₇	—	4	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	—	16	2	no	—
1317	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1318	C₄×C₇	—	2	1	no	—
1319	C₄×C₇	—	2	1	no	—
1320	C₄×C₇	—	2	1	no	—
1321	C₄×C₇	—	2	1	no	—
1322	C₄×C₇	—	2	1	no	—
1323	C₄×C₇	—	2	1	no	—
1324	C₄×C₇	—	2	1	no	—
1325	C₄×C₇	—	2	1	no	—
1326	C₄×C₇	—	2	1	no	—
1327	C₄×C₇	—	2	1	no	—
1328	C₄×C₇	—	2	1	no	—
1329	C₄×C₇	—	4	1	no	—
1330	C₄×C₇	—	4	1	no	—
1331	C₄×C₇	—	4	1	no	—
1332	C₄×C₇	—	4	1	no	—
1333	C₄×C₇	—	4	1	no	—
1334	C₄×C₇	—	4	1	no	—
1335	C₄×C₇	—	4	1	no	—
1336	C₄×C₇	—	4	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	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1342	C₄×C₇	#585	1	1	yes	characteristic
1343	C₂⁴	—	2	1	no	—
1344	#41	—	2	2	no	—
1345	#41	—	2	2	no	—
1346	#41	—	2	2	no	—
1347	#41	—	4	1	no	—
1348	#41	—	4	1	no	—
1349	#41	—	4	1	no	—
1350	#41	—	4	1	no	—
1351	#41	—	4	1	no	—
1352	#41	—	4	1	no	—
1353	#41	—	4	1	no	—
1354	#41	—	4	1	no	—
1355	#41	—	4	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	4	1	no	—
1358	C₂×Q₈	—	2	1	no	—
1359	C₂×Q₈	—	2	1	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	—	4	1	no	—
1362	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1363	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1364	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1365	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1366	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1367	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1368	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	4	1	no	—
1385	C₂×D₄	—	4	1	no	—
1386	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1387	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1388	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1390	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1391	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1392	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1411	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1413	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1414	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1415	Q₁₆	—	4	1	no	—
1416	Q₁₆	—	4	1	no	—
1417	Q₁₆	—	4	1	no	—
1418	Q₁₆	—	4	1	no	—
1419	Q₁₆	—	4	1	no	—
1420	Q₁₆	—	4	1	no	—
1421	Q₁₆	—	4	1	no	—
1422	Q₁₆	—	4	1	no	—
1423	Q₁₆	—	4	1	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	2	2	no	—
1426	SD₁₆	—	2	2	no	—
1427	SD₁₆	—	4	1	no	—
1428	SD₁₆	—	4	1	no	—
1429	SD₁₆	—	4	1	no	—
1430	SD₁₆	—	4	1	no	—
1431	SD₁₆	—	4	1	no	—
1432	SD₁₆	—	4	1	no	—
1433	SD₁₆	—	4	1	no	—
1434	SD₁₆	—	4	1	no	—
1435	SD₁₆	—	4	1	no	—
1436	D₈	—	2	2	no	—
1437	D₈	—	2	2	no	—
1438	D₈	—	2	2	no	—
1439	M₁₆	—	4	1	no	—
1440	M₁₆	—	4	1	no	—
1441	C₂×C₈	—	4	1	no	—
1442	C₂×C₈	—	4	1	no	—
1443	C₂×C₈	—	4	1	no	—
1444	C₂×C₈	—	4	1	no	—
1445	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1448	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1449	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1450	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1451	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1452	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1503	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1557	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1558	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1559	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1562	C₂×C₇	—	4	1	no	—
1563	C₂×C₇	—	4	1	no	—
1564	C₂×C₇	—	4	1	no	—
1565	C₂×C₇	—	4	2	no	—
1566	C₂×C₇	—	8	1	no	—
1567	C₂×C₇	—	8	1	no	—
1568	C₂×C₇	—	8	1	no	—
1569	C₂×C₇	#3488	1	1	yes	characteristic
1570	C₂×C₇	#3584	1	1	yes	characteristic
1571	C₂×C₇	#3586	1	1	yes	characteristic
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	8	1	no	—
1577	C₂³	—	8	1	no	—
1578	C₂³	—	8	1	no	—
1579	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1580	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1581	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	2	1	no	—
1587	Q₈	—	2	1	no	—
1588	Q₈	—	2	1	no	—
1589	Q₈	—	2	1	no	—
1590	Q₈	—	2	1	no	—
1591	Q₈	—	2	1	no	—
1592	Q₈	—	2	1	no	—
1593	Q₈	—	2	1	no	—
1594	Q₈	—	4	1	no	—
1595	Q₈	—	8	1	no	—
1596	Q₈	—	8	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	4	1	no	—
1605	D₄	—	4	1	no	—
1606	D₄	—	4	1	no	—
1607	D₄	—	4	2	no	—
1608	D₄	—	4	2	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	C₇×H(5,𝔽₂)	1	2	yes	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	4	1	no	—
1642	C₂×C₄	—	4	1	no	—
1643	C₂×C₄	—	4	2	no	—
1644	C₂×C₄	—	4	2	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	8	1	no	—
1648	C₂×C₄	—	8	1	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1661	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1662	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1663	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1664	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1665	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1666	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1667	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1668	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1669	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1670	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1671	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	—	2	1	no	—
1679	C₈	—	2	1	no	—
1680	C₇	#62012	1	1	yes	characteristic, direct product factor, Sylow
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	2	1	no	—
1690	C₂²	—	2	2	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	16	2	no	—
1703	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1704	C₄	—	2	1	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	4	1	no	—
1716	C₄	—	4	1	no	—
1717	C₄	—	4	1	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1728	C₄	C₇×#585	1	1	yes	characteristic
1729	C₂	—	4	1	no	—
1730	C₂	—	4	1	no	—
1731	C₂	—	4	1	no	—
1732	C₂	—	4	2	no	—
1733	C₂	—	8	1	no	—
1734	C₂	—	8	1	no	—
1735	C₂	—	8	1	no	—
1736	C₂	C₇×#3488	1	1	yes	characteristic
1737	C₂	C₇×#3584	1	1	yes	characteristic
1738	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×#3562	C₂	semidirect
2. C₇×#3515	C₂	semidirect
3. C₇×#3400	C₂	semidirect
4. C₇×#3398	C₂	semidirect
5. C₇×#3376	C₂	semidirect
6. C₇×#3370	C₂	semidirect
7. C₇×#3317	C₂	semidirect
8. C₇×#3316	C₂	semidirect
9. C₇×#3315	C₂	semidirect
10. C₇×#3314	C₂	semidirect
11. C₇×#3300	C₂	semidirect
12. C₇×#3296	C₂	semidirect
13. C₇×#3284	C₂	semidirect
14. C₇×#3283	C₂	semidirect
15. C₇×#3269	C₂	semidirect
16. C₇×#3269	C₂	semidirect
17. C₇×#3267	C₂	semidirect
18. C₇×#3267	C₂	semidirect
19. C₇×#3261	C₂	semidirect
20. C₇×#3260	C₂	semidirect
21. C₇×#3248	C₂	semidirect
22. C₇×#3223	C₂	semidirect
23. C₇×#3222	C₂	semidirect
24. C₇×#3216	C₂	semidirect
25. C₇×#3120	C₂	semidirect
26. C₇×#3119	C₂	semidirect
27. C₇×#3111	C₂	semidirect
28. C₇×#3046	C₂	semidirect
29. C₇×#3045	C₂	semidirect
30. C₇×#3035	C₂	semidirect
31. C₇×#2992	C₂	semidirect
32. C₂×C₇×#137	C₂²	semidirect
37. C₂×C₇×#135	C₂²	semidirect
41. C₇×#557	C₂²	semidirect
44. C₇×#554	C₂²	semidirect
51. C₇×#552	C₂²	semidirect
59. C₇×#547	C₂²	semidirect
64. C₇×#541	C₂²	semidirect
74. C₇×#533	C₂²	semidirect
81. C₇×#520	C₂²	semidirect
82. C₄×C₇×#41	C₂²	semidirect
86. C₇×#497	C₂²	semidirect
87. C₇×#494	C₂²	semidirect
89. C₇×#491	C₂²	semidirect
92. C₇×#489	C₂²	semidirect
95. C₇×#485	C₂²	semidirect
99. C₇×#481	C₂²	semidirect
101. C₇×#479	C₂²	semidirect
102. C₇×#479	C₂²	semidirect
103. C₇×#479	C₂²	semidirect
104. C₇×#479	C₂²	semidirect
105. C₇×#479	C₂²	semidirect
107. C₇×#478	C₂²	semidirect
108. C₇×#478	C₂²	semidirect
109. C₇×#475	C₂²	semidirect
114. C₇×#468	C₂²	semidirect
117. C₇×#467	C₂²	semidirect
118. C₇×#467	C₂²	semidirect
122. C₇×#465	C₂²	semidirect
129. C₇×#464	C₂²	semidirect
134. C₇×#463	C₂²	semidirect
135. C₇×#462	C₂²	semidirect
136. C₇×#462	C₂²	semidirect
137. C₇×#462	C₂²	semidirect
138. C₇×#462	C₂²	semidirect
139. C₇×#462	C₂²	semidirect
140. C₇×#462	C₂²	semidirect
141. C₇×#462	C₂²	semidirect
144. C₇×#461	C₂²	semidirect
145. C₇×#461	C₂²	semidirect
146. C₇×#461	C₂²	semidirect
161. C₇×#452	C₂²	semidirect
162. C₇×#452	C₂²	semidirect
163. C₇×#452	C₂²	semidirect
164. C₇×#451	C₂²	semidirect
165. C₇×#451	C₂²	semidirect
170. C₇×#449	C₂²	semidirect
171. C₇×#446	C₂²	semidirect
172. C₇×#446	C₂²	semidirect
175. C₇×#441	C₂²	semidirect
176. C₇×#441	C₂²	semidirect
178. C₇×#440	C₂²	semidirect
179. C₇×#440	C₂²	semidirect
180. C₇×#440	C₂²	semidirect
181. C₄×C₇×Q₁₆	C₂²	semidirect
183. C₄×C₇×SD₁₆	C₂²	semidirect
184. C₄×C₇×D₈	C₂²	semidirect
188. C₇×#435	C₂²	semidirect
190. C₇×C₈×D₄	C₂²	semidirect
192. C₇×#433	C₂²	semidirect
193. C₇×#432	C₂²	semidirect
195. C₇×#424	C₂²	semidirect
196. C₂×C₇×C₄⋊C₈	C₂²	semidirect
200. C₇×#416	C₂²	semidirect
201. C₂×C₇×#103	C₂²	semidirect
203. #62012	C₇	direct (N × H)
485. #3562	C₂×C₇	semidirect
486. #3515	C₂×C₇	semidirect
487. #3400	C₂×C₇	semidirect
488. #3398	C₂×C₇	semidirect
489. #3376	C₂×C₇	semidirect
490. #3370	C₂×C₇	semidirect
491. #3317	C₂×C₇	semidirect
492. #3316	C₂×C₇	semidirect
493. #3315	C₂×C₇	semidirect
494. #3314	C₂×C₇	semidirect
495. #3300	C₂×C₇	semidirect
496. #3296	C₂×C₇	semidirect
497. #3284	C₂×C₇	semidirect
498. #3283	C₂×C₇	semidirect
499. #3269	C₂×C₇	semidirect
500. #3269	C₂×C₇	semidirect
501. #3267	C₂×C₇	semidirect
502. #3267	C₂×C₇	semidirect
503. #3261	C₂×C₇	semidirect
504. #3260	C₂×C₇	semidirect
505. #3248	C₂×C₇	semidirect
506. #3223	C₂×C₇	semidirect
507. #3222	C₂×C₇	semidirect
508. #3216	C₂×C₇	semidirect
509. #3120	C₂×C₇	semidirect
510. #3119	C₂×C₇	semidirect
511. #3111	C₂×C₇	semidirect
512. #3046	C₂×C₇	semidirect
513. #3045	C₂×C₇	semidirect
514. #3035	C₂×C₇	semidirect
515. #2992	C₂×C₇	semidirect
735. C₂×#137	C₂²×C₇	semidirect
740. C₂×#135	C₂²×C₇	semidirect
744. #557	C₂²×C₇	semidirect
747. #554	C₂²×C₇	semidirect
754. #552	C₂²×C₇	semidirect
762. #547	C₂²×C₇	semidirect
767. #541	C₂²×C₇	semidirect
777. #533	C₂²×C₇	semidirect
784. #520	C₂²×C₇	semidirect
785. C₄×#41	C₂²×C₇	semidirect
789. #497	C₂²×C₇	semidirect
790. #494	C₂²×C₇	semidirect
792. #491	C₂²×C₇	semidirect
795. #489	C₂²×C₇	semidirect
798. #485	C₂²×C₇	semidirect
802. #481	C₂²×C₇	semidirect
804. #479	C₂²×C₇	semidirect
805. #479	C₂²×C₇	semidirect
806. #479	C₂²×C₇	semidirect
807. #479	C₂²×C₇	semidirect
808. #479	C₂²×C₇	semidirect
810. #478	C₂²×C₇	semidirect
811. #478	C₂²×C₇	semidirect
812. #475	C₂²×C₇	semidirect
817. #468	C₂²×C₇	semidirect
820. #467	C₂²×C₇	semidirect
821. #467	C₂²×C₇	semidirect
825. #465	C₂²×C₇	semidirect
832. #464	C₂²×C₇	semidirect
837. #463	C₂²×C₇	semidirect
838. #462	C₂²×C₇	semidirect
839. #462	C₂²×C₇	semidirect
840. #462	C₂²×C₇	semidirect
841. #462	C₂²×C₇	semidirect
842. #462	C₂²×C₇	semidirect
843. #462	C₂²×C₇	semidirect
844. #462	C₂²×C₇	semidirect
847. #461	C₂²×C₇	semidirect
848. #461	C₂²×C₇	semidirect
849. #461	C₂²×C₇	semidirect
864. #452	C₂²×C₇	semidirect
865. #452	C₂²×C₇	semidirect
866. #452	C₂²×C₇	semidirect
867. #451	C₂²×C₇	semidirect
868. #451	C₂²×C₇	semidirect
873. #449	C₂²×C₇	semidirect
874. #446	C₂²×C₇	semidirect
875. #446	C₂²×C₇	semidirect
878. #441	C₂²×C₇	semidirect
879. #441	C₂²×C₇	semidirect
881. #440	C₂²×C₇	semidirect
882. #440	C₂²×C₇	semidirect
883. #440	C₂²×C₇	semidirect
884. C₄×Q₁₆	C₂²×C₇	semidirect
886. C₄×SD₁₆	C₂²×C₇	semidirect
887. C₄×D₈	C₂²×C₇	semidirect
891. #435	C₂²×C₇	semidirect
893. C₈×D₄	C₂²×C₇	semidirect
895. #433	C₂²×C₇	semidirect
896. #432	C₂²×C₇	semidirect
898. #424	C₂²×C₇	semidirect
899. C₂×C₄⋊C₈	C₂²×C₇	semidirect
903. #416	C₂²×C₇	semidirect
904. C₂×#103	C₂²×C₇	semidirect
1680. C₇	#62012	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₇×#3562	2
C₇×#3515	2
C₇×#3400	2
C₇×#3398	2
C₇×#3376	2
C₇×#3370	2
C₇×#3317	2
C₇×#3316	2
C₇×#3315	2
C₇×#3314	2
C₇×#3300	2
C₇×#3296	2
C₇×#3284	2
C₇×#3283	2
C₇×#3269	2
C₇×#3267	2
C₇×#3261	2
C₇×#3260	2
C₇×#3248	2
C₇×#3223	2
C₇×#3222	2
C₇×#3216	2
C₇×#3120	2
C₇×#3119	2
C₇×#3111	2
C₇×#3046	2
C₇×#3045	2
C₇×#3035	2
C₇×#2992	2
#62012	7

Subgroups — C7×#62012 #13239228

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62012 #13239228