Subgroups — C₇×#62010 #13239226

Order 1792.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1706 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×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3320	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×#3312	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3301	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×D₄×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3285	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3270	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3270	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3269	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3261	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×#3223	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3218	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3044	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₇×#462	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×#137	C₂²	1	1	yes	characteristic
34	C₂×C₇×#135	C₂²	1	1	yes	characteristic
35	C₂²×C₇×Q₁₆	C₂²	1	1	yes	characteristic
36	C₂²×C₇×Q₁₆	C₂²	1	1	yes	characteristic
37	C₂²×C₇×Q₁₆	C₂²	1	1	yes	characteristic
38	C₇×#563	—	2	1	no	—
39	C₇×#563	—	2	1	no	—
40	C₇×#557	C₂²	1	1	yes	characteristic
41	C₇×#557	C₂²	1	1	yes	characteristic
42	C₇×#556	—	2	1	no	—
43	C₇×#556	C₂²	1	1	yes	characteristic
44	C₇×#556	C₂²	1	1	yes	characteristic
45	C₇×#554	—	2	1	no	—
46	C₇×#554	—	2	1	no	—
47	C₇×#554	C₂²	1	1	yes	characteristic
48	C₇×#553	—	2	1	no	—
49	C₇×#553	—	2	1	no	—
50	C₇×#553	C₂²	1	1	yes	characteristic
51	C₇×#552	—	2	1	no	—
52	C₇×#552	C₂²	1	1	yes	characteristic
53	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
54	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
55	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
56	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
57	C₇×#548	C₂²	1	1	yes	characteristic
58	C₇×#548	C₂²	1	1	yes	characteristic
59	C₇×#548	C₂²	1	1	yes	characteristic
60	C₇×#548	C₂²	1	1	yes	characteristic
61	C₇×#547	C₂²	1	1	yes	characteristic
62	C₇×#544	—	2	1	no	—
63	C₇×#542	—	2	1	no	—
64	C₇×#542	—	2	1	no	—
65	C₇×#542	C₂²	1	1	yes	characteristic
66	C₇×#541	—	2	1	no	—
67	C₇×#541	C₂²	1	1	yes	characteristic
68	C₇×#541	C₂²	1	1	yes	characteristic
69	C₇×#541	C₂²	1	1	yes	characteristic
70	C₇×#539	—	2	1	no	—
71	C₇×#539	—	2	1	no	—
72	C₇×#536	C₂²	1	1	yes	characteristic
73	C₇×#536	C₂²	1	1	yes	characteristic
74	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
75	C₇×#529	—	2	1	no	—
76	C₇×#529	—	2	1	no	—
77	C₇×#529	C₂²	1	1	yes	characteristic
78	C₇×#529	C₂²	1	1	yes	characteristic
79	C₇×#529	C₂²	1	1	yes	characteristic
80	C₇×#520	C₂²	1	1	yes	characteristic
81	C₇×#519	C₂²	1	1	yes	characteristic
82	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
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
87	C₇×#495	C₂²	1	1	yes	characteristic
88	C₇×#494	C₂²	1	1	yes	characteristic
89	C₇×#491	C₂²	1	1	yes	characteristic
90	C₇×#491	C₂²	1	1	yes	characteristic
91	C₇×#491	C₂²	1	1	yes	characteristic
92	C₇×#489	C₂²	1	1	yes	characteristic
93	C₇×#488	C₂²	1	1	yes	characteristic
94	C₇×#487	C₂²	1	1	yes	characteristic
95	C₇×#485	C₂²	1	1	yes	characteristic
96	C₇×#485	C₂²	1	1	yes	characteristic
97	C₇×#484	C₂²	1	1	yes	characteristic
98	C₇×#484	C₂²	1	1	yes	characteristic
99	C₇×#483	C₂²	1	1	yes	characteristic
100	C₇×#481	C₂²	1	1	yes	characteristic
101	C₇×#479	C₂²	1	1	yes	characteristic
102	C₇×#479	C₂²	1	1	yes	characteristic
103	C₇×#479	C₂²	1	1	yes	characteristic
104	C₇×#479	C₂²	1	1	yes	characteristic
105	C₇×#479	C₂²	1	1	yes	characteristic
106	C₇×#479	C₂²	1	1	yes	characteristic
107	C₇×#478	C₂²	1	1	yes	characteristic
108	C₇×#478	C₂²	1	1	yes	characteristic
109	C₇×#477	C₂²	1	1	yes	characteristic
110	C₇×#475	C₂²	1	1	yes	characteristic
111	C₇×#470	C₂²	1	1	yes	characteristic
112	C₇×#470	C₂²	1	1	yes	characteristic
113	C₇×#470	C₂²	1	1	yes	characteristic
114	C₇×#468	C₂²	1	1	yes	characteristic
115	C₇×#467	C₂²	1	1	yes	characteristic
116	C₇×#467	C₂²	1	1	yes	characteristic
117	C₇×#467	C₂²	1	1	yes	characteristic
118	C₇×#467	C₂²	1	1	yes	characteristic
119	C₇×#466	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
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
130	C₇×#464	C₂²	1	1	yes	characteristic
131	C₇×#464	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
135	C₇×#462	C₂²	1	1	yes	characteristic
136	C₇×#462	C₂²	1	1	yes	characteristic
137	C₇×#462	C₂²	1	1	yes	characteristic
138	C₇×#462	C₂²	1	1	yes	characteristic
139	C₇×#462	C₂²	1	1	yes	characteristic
140	C₇×#462	C₂²	1	1	yes	characteristic
141	C₇×#462	C₂²	1	1	yes	characteristic
142	C₇×#462	C₂²	1	1	yes	characteristic
143	C₇×#462	C₂²	1	1	yes	characteristic
144	C₇×#462	C₂²	1	1	yes	characteristic
145	C₇×#462	C₂²	1	1	yes	characteristic
146	C₇×#462	C₂²	1	1	yes	characteristic
147	C₇×#462	C₂²	1	1	yes	characteristic
148	C₇×#462	C₂²	1	1	yes	characteristic
149	C₇×#462	C₂²	1	1	yes	characteristic
150	C₇×#461	C₂²	1	1	yes	characteristic
151	C₇×#461	C₂²	1	1	yes	characteristic
152	C₇×#461	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×#451	C₂²	1	1	yes	characteristic
159	C₇×#451	C₂²	1	1	yes	characteristic
160	C₇×#451	C₂²	1	1	yes	characteristic
161	C₇×#451	C₂²	1	1	yes	characteristic
162	C₇×#451	C₂²	1	1	yes	characteristic
163	C₇×#451	C₂²	1	1	yes	characteristic
164	C₇×#451	C₂²	1	1	yes	characteristic
165	C₇×#451	C₂²	1	1	yes	characteristic
166	C₇×#449	C₂²	1	1	yes	characteristic
167	C₇×#448	C₂²	1	1	yes	characteristic
168	C₇×#448	C₂²	1	1	yes	characteristic
169	C₇×#448	C₂²	1	1	yes	characteristic
170	C₇×#448	C₂²	1	1	yes	characteristic
171	C₇×#446	C₂²	1	1	yes	characteristic
172	C₇×#446	C₂²	1	1	yes	characteristic
173	C₇×#441	C₂²	1	1	yes	characteristic
174	C₇×#441	C₂²	1	1	yes	characteristic
175	C₇×#441	C₂²	1	1	yes	characteristic
176	C₇×#441	C₂²	1	1	yes	characteristic
177	C₇×#441	C₂²	1	1	yes	characteristic
178	C₇×#440	C₂²	1	1	yes	characteristic
179	C₇×#440	C₂²	1	1	yes	characteristic
180	C₇×#440	C₂²	1	1	yes	characteristic
181	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
182	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
183	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
184	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
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
189	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
190	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
191	C₇×#433	C₂²	1	1	yes	characteristic
192	C₇×#433	C₂²	1	1	yes	characteristic
193	C₇×#432	C₂²	1	1	yes	characteristic
194	C₇×#424	C₂²	1	1	yes	characteristic
195	C₇×#424	C₂²	1	1	yes	characteristic
196	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
197	C₇×#419	C₂²	1	1	yes	characteristic
198	C₇×#417	C₂²	1	1	yes	characteristic
199	C₇×#416	C₂²	1	1	yes	characteristic
200	C₂×C₇×#103	C₂²	1	1	yes	characteristic
201	C₂×C₇×#103	C₂²	1	1	yes	characteristic
202	C₂×C₇×#103	C₂²	1	1	yes	characteristic
203	#62010	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	C₂²×C₇×Q₈	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×Q₈	C₂³	1	1	yes	characteristic
213	C₇×#137	—	4	2	no	—
214	C₇×#137	—	4	2	no	—
215	C₇×#135	—	4	2	no	—
216	C₂×C₇×Q₁₆	—	4	2	no	—
217	C₂×C₇×Q₁₆	—	4	2	no	—
218	C₂×C₇×Q₁₆	—	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×Q₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₇×Q₁₆	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×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	—	2	1	no	—
250	C₇×C₄⋊Q₈	—	2	1	no	—
251	C₇×C₄⋊Q₈	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
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×#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	—	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	—	2	1	no	—
277	C₇×#126	—	2	1	no	—
278	C₇×#126	—	2	1	no	—
279	C₇×#126	D₄	1	1	yes	characteristic
280	C₇×#126	D₄	1	1	yes	characteristic
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	—	2	1	no	—
287	C₇×#125	—	2	1	no	—
288	C₇×#125	—	2	1	no	—
289	C₇×#125	—	2	1	no	—
290	C₇×#125	—	2	1	no	—
291	C₇×#125	—	2	1	no	—
292	C₇×#125	—	2	1	no	—
293	C₇×#125	—	2	1	no	—
294	C₇×#125	D₄	1	1	yes	characteristic
295	C₇×#125	C₂³	1	1	yes	characteristic
296	C₇×#125	C₂³	1	1	yes	characteristic
297	C₇×#125	C₂³	1	1	yes	characteristic
298	C₇×#124	—	2	1	no	—
299	C₇×#124	—	2	1	no	—
300	C₇×#124	—	2	1	no	—
301	C₇×#124	—	2	1	no	—
302	C₇×#124	—	2	1	no	—
303	C₇×#124	D₄	1	1	yes	characteristic
304	C₇×#124	C₂³	1	1	yes	characteristic
305	C₇×#124	C₂³	1	1	yes	characteristic
306	C₇×#124	C₂³	1	1	yes	characteristic
307	C₇×#124	C₂³	1	1	yes	characteristic
308	C₇×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
320	C₇×#123	D₄	1	1	yes	characteristic
321	C₇×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
340	C₇×C₂²⋊Q₈	—	2	1	no	—
341	C₇×C₂²⋊Q₈	—	2	1	no	—
342	C₇×C₂²⋊Q₈	—	2	1	no	—
343	C₇×C₂²⋊Q₈	D₄	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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
348	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
349	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
350	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
351	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
352	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
353	C₇×#121	—	2	1	no	—
354	C₇×#121	—	2	1	no	—
355	C₇×#121	—	2	1	no	—
356	C₇×#121	—	2	1	no	—
357	C₇×#121	—	2	1	no	—
358	C₇×#121	—	2	1	no	—
359	C₇×#121	D₄	1	1	yes	characteristic
360	C₇×#121	C₂³	1	1	yes	characteristic
361	C₇×#121	C₂³	1	1	yes	characteristic
362	C₇×#121	C₂³	1	1	yes	characteristic
363	C₄×C₇×Q₈	—	2	1	no	—
364	C₄×C₇×Q₈	—	2	1	no	—
365	C₄×C₇×Q₈	—	2	1	no	—
366	C₄×C₇×Q₈	—	2	1	no	—
367	C₄×C₇×Q₈	—	2	1	no	—
368	C₄×C₇×Q₈	—	2	1	no	—
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×Q₈	C₂³	1	1	yes	characteristic
376	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
377	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
378	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
379	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
380	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
381	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
382	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
391	C₄×C₇×D₄	—	2	1	no	—
392	C₄×C₇×D₄	—	2	1	no	—
393	C₄×C₇×D₄	—	2	1	no	—
394	C₄×C₇×D₄	—	2	1	no	—
395	C₄×C₇×D₄	—	2	1	no	—
396	C₄×C₇×D₄	—	2	1	no	—
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	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
408	C₇×#117	—	2	1	no	—
409	C₇×#117	—	2	1	no	—
410	C₇×#117	—	2	1	no	—
411	C₇×#117	C₂³	1	1	yes	characteristic
412	C₇×#117	C₂³	1	1	yes	characteristic
413	C₇×#117	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
418	C₂×C₇×C₄⋊C₄	—	2	1	no	—
419	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×#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×#103	C₂³	1	1	yes	characteristic
464	C₇×#103	C₂³	1	1	yes	characteristic
465	C₇×#103	C₂³	1	1	yes	characteristic
466	C₇×#103	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	#3516	C₂×C₇	1	1	yes	characteristic, complemented
487	#3402	C₂×C₇	1	1	yes	characteristic, complemented
488	#3398	C₂×C₇	1	1	yes	characteristic, complemented
489	#3377	C₂×C₇	1	1	yes	characteristic, complemented
490	#3374	C₂×C₇	1	1	yes	characteristic, complemented
491	#3320	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	#3312	C₂×C₇	1	1	yes	characteristic, complemented
495	#3301	C₂×C₇	1	1	yes	characteristic, complemented
496	#3299	C₂×C₇	1	1	yes	characteristic, complemented
497	D₄×Q₁₆	C₂×C₇	1	1	yes	characteristic, complemented
498	#3285	C₂×C₇	1	1	yes	characteristic, complemented
499	#3270	C₂×C₇	1	1	yes	characteristic, complemented
500	#3270	C₂×C₇	1	1	yes	characteristic, complemented
501	#3270	C₂×C₇	1	1	yes	characteristic, complemented
502	#3269	C₂×C₇	1	1	yes	characteristic, complemented
503	#3261	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	#3223	C₂×C₇	1	1	yes	characteristic, complemented
508	#3218	C₂×C₇	1	1	yes	characteristic, complemented
509	#3127	C₂×C₇	1	1	yes	characteristic, complemented
510	#3120	C₂×C₇	1	1	yes	characteristic, complemented
511	#3117	C₂×C₇	1	1	yes	characteristic, complemented
512	#3046	C₂×C₇	1	1	yes	characteristic, complemented
513	#3044	C₂×C₇	1	1	yes	characteristic, complemented
514	C₂×#462	C₂×C₇	1	1	yes	characteristic, complemented
515	#2992	C₂×C₇	1	1	yes	characteristic, complemented
516	C₇×#41	—	2	2	no	—
517	C₇×#41	—	4	1	no	—
518	C₇×#41	—	4	1	no	—
519	C₇×#41	—	4	1	no	—
520	C₇×#41	—	4	1	no	—
521	C₇×#41	—	4	1	no	—
522	C₂×C₇×Q₈	—	2	1	no	—
523	C₂×C₇×Q₈	—	2	1	no	—
524	C₂×C₇×Q₈	—	2	1	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	2	no	—
530	C₂×C₇×Q₈	—	2	2	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	—	4	1	no	—
539	C₂×C₇×Q₈	—	4	1	no	—
540	C₂×C₇×Q₈	—	4	1	no	—
541	C₂×C₇×Q₈	C₂×D₄	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×Q₈	C₂⁴	1	1	yes	characteristic
546	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
547	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
548	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
549	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
557	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
558	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
559	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
560	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₇	—	2	1	no	—
562	C₂²×C₄×C₇	—	2	1	no	—
563	C₂²×C₄×C₇	—	2	1	no	—
564	C₂²×C₄×C₇	—	2	1	no	—
565	C₂²×C₄×C₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
576	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
577	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
580	C₇×Q₁₆	—	2	2	no	—
581	C₇×Q₁₆	—	2	2	no	—
582	C₇×Q₁₆	—	2	2	no	—
583	C₇×Q₁₆	—	2	2	no	—
584	C₇×Q₁₆	—	2	2	no	—
585	C₇×Q₁₆	—	4	1	no	—
586	C₇×Q₁₆	—	4	1	no	—
587	C₇×Q₁₆	—	4	1	no	—
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×SD₁₆	—	2	2	no	—
596	C₇×SD₁₆	—	4	1	no	—
597	C₇×SD₁₆	—	4	1	no	—
598	C₇×SD₁₆	—	4	1	no	—
599	C₇×SD₁₆	—	4	1	no	—
600	C₇×SD₁₆	—	4	1	no	—
601	C₇×SD₁₆	—	4	1	no	—
602	C₇×SD₁₆	—	4	1	no	—
603	C₇×D₈	—	4	1	no	—
604	C₇×M₁₆	—	4	1	no	—
605	C₇×M₁₆	—	4	1	no	—
606	C₂×C₇×C₈	—	4	1	no	—
607	C₂×C₇×C₈	—	4	1	no	—
608	C₂×C₇×C₈	—	4	1	no	—
609	C₂×C₇×C₈	—	4	1	no	—
610	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
611	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
612	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
613	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
614	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
615	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
616	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
617	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
618	C₇×C₄⋊C₄	—	2	1	no	—
619	C₇×C₄⋊C₄	—	2	1	no	—
620	C₇×C₄⋊C₄	—	2	1	no	—
621	C₇×C₄⋊C₄	—	2	1	no	—
622	C₇×C₄⋊C₄	—	2	1	no	—
623	C₇×C₄⋊C₄	—	2	1	no	—
624	C₇×C₄⋊C₄	—	2	1	no	—
625	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
706	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
707	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
708	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₇	—	2	1	no	—
716	C₄²×C₇	—	2	1	no	—
717	C₄²×C₇	—	2	1	no	—
718	C₄²×C₇	—	2	1	no	—
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
736	C₂×#137	C₂²×C₇	1	1	yes	characteristic
737	C₂×#135	C₂²×C₇	1	1	yes	characteristic
738	C₂²×Q₁₆	C₂²×C₇	1	1	yes	characteristic
739	C₂²×Q₁₆	C₂²×C₇	1	1	yes	characteristic
740	C₂²×Q₁₆	C₂²×C₇	1	1	yes	characteristic
741	#563	—	2	1	no	—
742	#563	—	2	1	no	—
743	#557	C₂²×C₇	1	1	yes	characteristic
744	#557	C₂²×C₇	1	1	yes	characteristic
745	#556	—	2	1	no	—
746	#556	C₂²×C₇	1	1	yes	characteristic
747	#556	C₂²×C₇	1	1	yes	characteristic
748	#554	—	2	1	no	—
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	—	2	1	no	—
755	#552	C₂²×C₇	1	1	yes	characteristic
756	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
757	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
758	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
759	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
760	#548	C₂²×C₇	1	1	yes	characteristic
761	#548	C₂²×C₇	1	1	yes	characteristic
762	#548	C₂²×C₇	1	1	yes	characteristic
763	#548	C₂²×C₇	1	1	yes	characteristic
764	#547	C₂²×C₇	1	1	yes	characteristic
765	#544	—	2	1	no	—
766	#542	—	2	1	no	—
767	#542	—	2	1	no	—
768	#542	C₂²×C₇	1	1	yes	characteristic
769	#541	—	2	1	no	—
770	#541	C₂²×C₇	1	1	yes	characteristic
771	#541	C₂²×C₇	1	1	yes	characteristic
772	#541	C₂²×C₇	1	1	yes	characteristic
773	#539	—	2	1	no	—
774	#539	—	2	1	no	—
775	#536	C₂²×C₇	1	1	yes	characteristic
776	#536	C₂²×C₇	1	1	yes	characteristic
777	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
778	#529	—	2	1	no	—
779	#529	—	2	1	no	—
780	#529	C₂²×C₇	1	1	yes	characteristic
781	#529	C₂²×C₇	1	1	yes	characteristic
782	#529	C₂²×C₇	1	1	yes	characteristic
783	#520	C₂²×C₇	1	1	yes	characteristic
784	#519	C₂²×C₇	1	1	yes	characteristic
785	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
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
790	#495	C₂²×C₇	1	1	yes	characteristic
791	#494	C₂²×C₇	1	1	yes	characteristic
792	#491	C₂²×C₇	1	1	yes	characteristic
793	#491	C₂²×C₇	1	1	yes	characteristic
794	#491	C₂²×C₇	1	1	yes	characteristic
795	#489	C₂²×C₇	1	1	yes	characteristic
796	#488	C₂²×C₇	1	1	yes	characteristic
797	#487	C₂²×C₇	1	1	yes	characteristic
798	#485	C₂²×C₇	1	1	yes	characteristic
799	#485	C₂²×C₇	1	1	yes	characteristic
800	#484	C₂²×C₇	1	1	yes	characteristic
801	#484	C₂²×C₇	1	1	yes	characteristic
802	#483	C₂²×C₇	1	1	yes	characteristic
803	#481	C₂²×C₇	1	1	yes	characteristic
804	#479	C₂²×C₇	1	1	yes	characteristic
805	#479	C₂²×C₇	1	1	yes	characteristic
806	#479	C₂²×C₇	1	1	yes	characteristic
807	#479	C₂²×C₇	1	1	yes	characteristic
808	#479	C₂²×C₇	1	1	yes	characteristic
809	#479	C₂²×C₇	1	1	yes	characteristic
810	#478	C₂²×C₇	1	1	yes	characteristic
811	#478	C₂²×C₇	1	1	yes	characteristic
812	#477	C₂²×C₇	1	1	yes	characteristic
813	#475	C₂²×C₇	1	1	yes	characteristic
814	#470	C₂²×C₇	1	1	yes	characteristic
815	#470	C₂²×C₇	1	1	yes	characteristic
816	#470	C₂²×C₇	1	1	yes	characteristic
817	#468	C₂²×C₇	1	1	yes	characteristic
818	#467	C₂²×C₇	1	1	yes	characteristic
819	#467	C₂²×C₇	1	1	yes	characteristic
820	#467	C₂²×C₇	1	1	yes	characteristic
821	#467	C₂²×C₇	1	1	yes	characteristic
822	#466	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
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
833	#464	C₂²×C₇	1	1	yes	characteristic
834	#464	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
838	#462	C₂²×C₇	1	1	yes	characteristic
839	#462	C₂²×C₇	1	1	yes	characteristic
840	#462	C₂²×C₇	1	1	yes	characteristic
841	#462	C₂²×C₇	1	1	yes	characteristic
842	#462	C₂²×C₇	1	1	yes	characteristic
843	#462	C₂²×C₇	1	1	yes	characteristic
844	#462	C₂²×C₇	1	1	yes	characteristic
845	#462	C₂²×C₇	1	1	yes	characteristic
846	#462	C₂²×C₇	1	1	yes	characteristic
847	#462	C₂²×C₇	1	1	yes	characteristic
848	#462	C₂²×C₇	1	1	yes	characteristic
849	#462	C₂²×C₇	1	1	yes	characteristic
850	#462	C₂²×C₇	1	1	yes	characteristic
851	#462	C₂²×C₇	1	1	yes	characteristic
852	#462	C₂²×C₇	1	1	yes	characteristic
853	#461	C₂²×C₇	1	1	yes	characteristic
854	#461	C₂²×C₇	1	1	yes	characteristic
855	#461	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	#451	C₂²×C₇	1	1	yes	characteristic
862	#451	C₂²×C₇	1	1	yes	characteristic
863	#451	C₂²×C₇	1	1	yes	characteristic
864	#451	C₂²×C₇	1	1	yes	characteristic
865	#451	C₂²×C₇	1	1	yes	characteristic
866	#451	C₂²×C₇	1	1	yes	characteristic
867	#451	C₂²×C₇	1	1	yes	characteristic
868	#451	C₂²×C₇	1	1	yes	characteristic
869	#449	C₂²×C₇	1	1	yes	characteristic
870	#448	C₂²×C₇	1	1	yes	characteristic
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	#446	C₂²×C₇	1	1	yes	characteristic
875	#446	C₂²×C₇	1	1	yes	characteristic
876	#441	C₂²×C₇	1	1	yes	characteristic
877	#441	C₂²×C₇	1	1	yes	characteristic
878	#441	C₂²×C₇	1	1	yes	characteristic
879	#441	C₂²×C₇	1	1	yes	characteristic
880	#441	C₂²×C₇	1	1	yes	characteristic
881	#440	C₂²×C₇	1	1	yes	characteristic
882	#440	C₂²×C₇	1	1	yes	characteristic
883	#440	C₂²×C₇	1	1	yes	characteristic
884	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
885	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
886	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
887	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
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
892	C₈×D₄	C₂²×C₇	1	1	yes	characteristic
893	C₈×D₄	C₂²×C₇	1	1	yes	characteristic
894	#433	C₂²×C₇	1	1	yes	characteristic
895	#433	C₂²×C₇	1	1	yes	characteristic
896	#432	C₂²×C₇	1	1	yes	characteristic
897	#424	C₂²×C₇	1	1	yes	characteristic
898	#424	C₂²×C₇	1	1	yes	characteristic
899	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
900	#419	C₂²×C₇	1	1	yes	characteristic
901	#417	C₂²×C₇	1	1	yes	characteristic
902	#416	C₂²×C₇	1	1	yes	characteristic
903	C₂×#103	C₂²×C₇	1	1	yes	characteristic
904	C₂×#103	C₂²×C₇	1	1	yes	characteristic
905	C₂×#103	C₂²×C₇	1	1	yes	characteristic
906	C₂³×C₇	—	2	1	no	—
907	C₂³×C₇	—	2	1	no	—
908	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
909	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
910	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
911	C₇×Q₈	—	2	1	no	—
912	C₇×Q₈	—	2	1	no	—
913	C₇×Q₈	—	2	1	no	—
914	C₇×Q₈	—	2	1	no	—
915	C₇×Q₈	—	2	1	no	—
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	—	4	1	no	—
927	C₇×Q₈	—	4	2	no	—
928	C₇×Q₈	—	4	2	no	—
929	C₇×Q₈	—	8	1	no	—
930	C₇×Q₈	—	8	1	no	—
931	C₇×Q₈	—	8	1	no	—
932	C₇×Q₈	—	8	1	no	—
933	C₇×Q₈	—	8	1	no	—
934	C₇×Q₈	H(5,𝔽₂)	1	2	yes	—
935	C₇×D₄	—	2	2	no	—
936	C₇×D₄	—	2	2	no	—
937	C₇×D₄	—	2	1	no	—
938	C₇×D₄	—	2	1	no	—
939	C₇×D₄	—	2	1	no	—
940	C₇×D₄	—	2	1	no	—
941	C₇×D₄	—	4	1	no	—
942	C₇×D₄	—	4	2	no	—
943	C₇×D₄	—	4	2	no	—
944	C₇×D₄	—	4	2	no	—
945	C₇×D₄	—	8	1	no	—
946	C₇×D₄	—	8	1	no	—
947	C₇×D₄	—	8	1	no	—
948	C₂×C₄×C₇	—	2	2	no	—
949	C₂×C₄×C₇	—	2	1	no	—
950	C₂×C₄×C₇	—	2	1	no	—
951	C₂×C₄×C₇	—	2	1	no	—
952	C₂×C₄×C₇	—	2	1	no	—
953	C₂×C₄×C₇	—	2	1	no	—
954	C₂×C₄×C₇	—	2	1	no	—
955	C₂×C₄×C₇	—	2	1	no	—
956	C₂×C₄×C₇	—	2	1	no	—
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	—	4	1	no	—
970	C₂×C₄×C₇	—	4	2	no	—
971	C₂×C₄×C₇	—	4	2	no	—
972	C₂×C₄×C₇	—	4	2	no	—
973	C₂×C₄×C₇	—	4	2	no	—
974	C₂×C₄×C₇	—	8	1	no	—
975	C₂×C₄×C₇	—	8	1	no	—
976	C₂×C₄×C₇	—	8	1	no	—
977	C₂×C₄×C₇	—	8	1	no	—
978	C₂×C₄×C₇	—	8	1	no	—
979	C₂×C₄×C₇	—	8	1	no	—
980	C₂×C₄×C₇	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
985	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
986	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
989	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
990	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
991	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
992	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
993	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
994	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
995	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
996	C₇×C₈	—	2	1	no	—
997	C₇×C₈	—	2	1	no	—
998	C₇×C₈	—	2	1	no	—
999	C₇×C₈	—	2	1	no	—
1000	C₇×C₈	—	2	1	no	—
1001	C₇×C₈	—	2	1	no	—
1002	C₇×C₈	—	2	1	no	—
1003	C₇×C₈	—	2	1	no	—
1004	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1005	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1006	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1007	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1008	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1009	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1010	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1011	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1012	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1013	#137	—	4	2	no	—
1014	#137	—	4	2	no	—
1015	#135	—	4	2	no	—
1016	C₂×Q₁₆	—	4	2	no	—
1017	C₂×Q₁₆	—	4	2	no	—
1018	C₂×Q₁₆	—	4	2	no	—
1019	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1020	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1021	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1022	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1023	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1024	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1025	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1026	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1027	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1028	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
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×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1035	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1036	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1037	C₂×SD₁₆	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×D₈	C₂³×C₇	1	1	yes	characteristic
1043	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1044	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1045	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1046	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1047	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1048	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1049	C₄⋊Q₈	—	2	1	no	—
1050	C₄⋊Q₈	—	2	1	no	—
1051	C₄⋊Q₈	—	2	1	no	—
1052	C₄⋊Q₈	—	2	1	no	—
1053	C₄⋊Q₈	—	2	1	no	—
1054	C₄⋊Q₈	—	2	1	no	—
1055	C₄⋊Q₈	—	2	1	no	—
1056	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1057	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1058	C₄⋊Q₈	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	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#126	—	2	1	no	—
1067	#126	—	2	1	no	—
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	—	2	1	no	—
1102	#124	—	2	1	no	—
1103	#124	C₇×D₄	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	#124	C₂³×C₇	1	1	yes	characteristic
1108	#124	C₂³×C₇	1	1	yes	characteristic
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	C₇×D₄	1	1	yes	characteristic
1121	#123	C₇×D₄	1	1	yes	characteristic
1122	C₂²⋊Q₈	—	2	1	no	—
1123	C₂²⋊Q₈	—	2	1	no	—
1124	C₂²⋊Q₈	—	2	1	no	—
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
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	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	C₇×D₄	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	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
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	C₇×D₄	1	1	yes	characteristic
1160	#121	C₂³×C₇	1	1	yes	characteristic
1161	#121	C₂³×C₇	1	1	yes	characteristic
1162	#121	C₂³×C₇	1	1	yes	characteristic
1163	C₄×Q₈	—	2	1	no	—
1164	C₄×Q₈	—	2	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	—	2	1	no	—
1168	C₄×Q₈	—	2	1	no	—
1169	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1170	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1171	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1172	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
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×D₄	—	2	1	no	—
1184	C₄×D₄	—	2	1	no	—
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	C₂³×C₇	1	1	yes	characteristic
1198	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
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	#117	—	2	1	no	—
1204	#117	—	2	1	no	—
1205	#117	—	2	1	no	—
1206	#117	—	2	1	no	—
1207	#117	—	2	1	no	—
1208	#117	—	2	1	no	—
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	C₂³×C₇	1	1	yes	characteristic
1212	#117	C₂³×C₇	1	1	yes	characteristic
1213	#117	C₂³×C₇	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	—	2	1	no	—
1215	C₂×C₄⋊C₄	—	2	1	no	—
1216	C₂×C₄⋊C₄	—	2	1	no	—
1217	C₂×C₄⋊C₄	—	2	1	no	—
1218	C₂×C₄⋊C₄	—	2	1	no	—
1219	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1220	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1221	C₂×C₄²	—	2	1	no	—
1222	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1223	#107	C₂³×C₇	1	1	yes	characteristic
1224	#107	C₂³×C₇	1	1	yes	characteristic
1225	#107	C₂³×C₇	1	1	yes	characteristic
1226	#107	C₂³×C₇	1	1	yes	characteristic
1227	#106	C₂³×C₇	1	1	yes	characteristic
1228	#106	C₂³×C₇	1	1	yes	characteristic
1229	#106	C₂³×C₇	1	1	yes	characteristic
1230	#106	C₂³×C₇	1	1	yes	characteristic
1231	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1232	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1233	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1234	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1235	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1236	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1237	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1238	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1239	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1241	#103	C₂³×C₇	1	1	yes	characteristic
1242	#103	C₂³×C₇	1	1	yes	characteristic
1243	#103	C₂³×C₇	1	1	yes	characteristic
1244	#103	C₂³×C₇	1	1	yes	characteristic
1245	#103	C₂³×C₇	1	1	yes	characteristic
1246	#103	C₂³×C₇	1	1	yes	characteristic
1247	#103	C₂³×C₇	1	1	yes	characteristic
1248	#103	C₂³×C₇	1	1	yes	characteristic
1249	#103	C₂³×C₇	1	1	yes	characteristic
1250	#103	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	#102	C₂³×C₇	1	1	yes	characteristic
1268	#102	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	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1274	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1275	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1276	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1277	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1279	#97	C₂³×C₇	1	1	yes	characteristic
1280	#97	C₂³×C₇	1	1	yes	characteristic
1281	#97	C₂³×C₇	1	1	yes	characteristic
1282	#97	C₂³×C₇	1	1	yes	characteristic
1283	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1284	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1285	C₂²×C₇	—	2	1	no	—
1286	C₂²×C₇	—	2	1	no	—
1287	C₂²×C₇	—	2	1	no	—
1288	C₂²×C₇	—	2	1	no	—
1289	C₂²×C₇	—	2	1	no	—
1290	C₂²×C₇	—	2	1	no	—
1291	C₂²×C₇	—	2	1	no	—
1292	C₂²×C₇	—	2	1	no	—
1293	C₂²×C₇	—	4	1	no	—
1294	C₂²×C₇	—	4	1	no	—
1295	C₂²×C₇	—	4	1	no	—
1296	C₂²×C₇	—	4	1	no	—
1297	C₂²×C₇	—	4	1	no	—
1298	C₂²×C₇	—	4	1	no	—
1299	C₂²×C₇	#578	1	2	yes	—
1300	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1301	C₄×C₇	—	2	1	no	—
1302	C₄×C₇	—	2	1	no	—
1303	C₄×C₇	—	2	1	no	—
1304	C₄×C₇	—	2	1	no	—
1305	C₄×C₇	—	2	1	no	—
1306	C₄×C₇	—	2	1	no	—
1307	C₄×C₇	—	2	1	no	—
1308	C₄×C₇	—	2	2	no	—
1309	C₄×C₇	—	2	1	no	—
1310	C₄×C₇	—	2	1	no	—
1311	C₄×C₇	—	2	1	no	—
1312	C₄×C₇	—	2	1	no	—
1313	C₄×C₇	—	4	1	no	—
1314	C₄×C₇	—	4	1	no	—
1315	C₄×C₇	—	4	1	no	—
1316	C₄×C₇	—	4	1	no	—
1317	C₄×C₇	—	4	1	no	—
1318	C₄×C₇	—	4	1	no	—
1319	C₄×C₇	—	4	1	no	—
1320	C₄×C₇	—	4	1	no	—
1321	C₄×C₇	—	4	1	no	—
1322	C₄×C₇	—	4	1	no	—
1323	C₄×C₇	—	4	1	no	—
1324	C₄×C₇	—	4	1	no	—
1325	C₄×C₇	—	4	1	no	—
1326	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1327	C₄×C₇	#585	1	1	yes	characteristic
1328	#41	—	2	2	no	—
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	4	1	no	—
1333	#41	—	4	1	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	2	1	no	—
1340	C₂×Q₈	—	2	1	no	—
1341	C₂×Q₈	—	2	2	no	—
1342	C₂×Q₈	—	2	2	no	—
1343	C₂×Q₈	—	4	1	no	—
1344	C₂×Q₈	—	4	1	no	—
1345	C₂×Q₈	—	4	1	no	—
1346	C₂×Q₈	—	4	1	no	—
1347	C₂×Q₈	—	4	1	no	—
1348	C₂×Q₈	—	4	1	no	—
1349	C₂×Q₈	—	4	1	no	—
1350	C₂×Q₈	—	4	1	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	—	4	1	no	—
1353	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1356	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1357	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1358	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1359	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1360	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1361	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1369	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1370	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1371	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1372	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1388	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1389	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1390	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1392	Q₁₆	—	2	2	no	—
1393	Q₁₆	—	2	2	no	—
1394	Q₁₆	—	2	2	no	—
1395	Q₁₆	—	2	2	no	—
1396	Q₁₆	—	2	2	no	—
1397	Q₁₆	—	4	1	no	—
1398	Q₁₆	—	4	1	no	—
1399	Q₁₆	—	4	1	no	—
1400	Q₁₆	—	4	1	no	—
1401	Q₁₆	—	4	1	no	—
1402	Q₁₆	—	4	1	no	—
1403	Q₁₆	—	4	1	no	—
1404	Q₁₆	—	4	1	no	—
1405	Q₁₆	—	4	1	no	—
1406	Q₁₆	—	4	1	no	—
1407	SD₁₆	—	2	2	no	—
1408	SD₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	D₈	—	4	1	no	—
1416	M₁₆	—	4	1	no	—
1417	M₁₆	—	4	1	no	—
1418	C₂×C₈	—	4	1	no	—
1419	C₂×C₈	—	4	1	no	—
1420	C₂×C₈	—	4	1	no	—
1421	C₂×C₈	—	4	1	no	—
1422	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1423	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1424	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1425	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1426	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1427	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1481	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1482	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1483	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1484	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1485	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1487	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1488	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1489	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1490	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1542	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1543	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1544	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1545	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1546	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1547	C₂×C₇	—	2	2	no	—
1548	C₂×C₇	—	4	1	no	—
1549	C₂×C₇	—	4	1	no	—
1550	C₂×C₇	—	8	1	no	—
1551	C₂×C₇	—	8	1	no	—
1552	C₂×C₇	#3488	1	1	yes	characteristic
1553	C₂×C₇	C₂×#578	1	1	yes	characteristic
1554	C₂×C₇	#3586	1	1	yes	characteristic
1555	C₂³	—	2	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1558	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1559	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	4	1	no	—
1576	Q₈	—	4	2	no	—
1577	Q₈	—	4	2	no	—
1578	Q₈	—	8	1	no	—
1579	Q₈	—	8	1	no	—
1580	Q₈	—	8	1	no	—
1581	Q₈	—	8	1	no	—
1582	Q₈	—	8	1	no	—
1583	Q₈	C₇×H(5,𝔽₂)	1	2	yes	—
1584	D₄	—	2	2	no	—
1585	D₄	—	2	2	no	—
1586	D₄	—	2	1	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	4	1	no	—
1591	D₄	—	4	2	no	—
1592	D₄	—	4	2	no	—
1593	D₄	—	4	2	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	2	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	4	1	no	—
1619	C₂×C₄	—	4	2	no	—
1620	C₂×C₄	—	4	2	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	4	2	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1643	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1644	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₇	#62010	1	1	yes	characteristic, direct product factor, Sylow
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	C₇×#578	1	2	yes	—
1669	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	2	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1696	C₄	C₇×#585	1	1	yes	characteristic
1697	C₂	—	2	2	no	—
1698	C₂	—	4	1	no	—
1699	C₂	—	4	1	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	8	1	no	—
1702	C₂	C₇×#3488	1	1	yes	characteristic
1703	C₂	C₂×C₇×#578	1	1	yes	characteristic
1704	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×#3516	C₂	semidirect
3. C₇×#3402	C₂	semidirect
4. C₇×#3398	C₂	semidirect
5. C₇×#3377	C₂	semidirect
6. C₇×#3374	C₂	semidirect
7. C₇×#3320	C₂	semidirect
8. C₇×#3316	C₂	semidirect
9. C₇×#3315	C₂	semidirect
10. C₇×#3312	C₂	semidirect
11. C₇×#3301	C₂	semidirect
12. C₇×#3299	C₂	semidirect
13. C₇×D₄×Q₁₆	C₂	semidirect
14. C₇×#3285	C₂	semidirect
15. C₇×#3270	C₂	semidirect
16. C₇×#3270	C₂	semidirect
17. C₇×#3270	C₂	semidirect
18. C₇×#3269	C₂	semidirect
19. C₇×#3261	C₂	semidirect
20. C₇×#3258	C₂	semidirect
21. C₇×#3250	C₂	semidirect
22. C₇×#3225	C₂	semidirect
23. C₇×#3223	C₂	semidirect
24. C₇×#3218	C₂	semidirect
25. C₇×#3127	C₂	semidirect
26. C₇×#3120	C₂	semidirect
27. C₇×#3117	C₂	semidirect
28. C₇×#3046	C₂	semidirect
29. C₇×#3044	C₂	semidirect
30. C₂×C₇×#462	C₂	semidirect
31. C₇×#2992	C₂	semidirect
203. #62010	C₇	direct (N × H)
485. #3552	C₂×C₇	semidirect
486. #3516	C₂×C₇	semidirect
487. #3402	C₂×C₇	semidirect
488. #3398	C₂×C₇	semidirect
489. #3377	C₂×C₇	semidirect
490. #3374	C₂×C₇	semidirect
491. #3320	C₂×C₇	semidirect
492. #3316	C₂×C₇	semidirect
493. #3315	C₂×C₇	semidirect
494. #3312	C₂×C₇	semidirect
495. #3301	C₂×C₇	semidirect
496. #3299	C₂×C₇	semidirect
497. D₄×Q₁₆	C₂×C₇	semidirect
498. #3285	C₂×C₇	semidirect
499. #3270	C₂×C₇	semidirect
500. #3270	C₂×C₇	semidirect
501. #3270	C₂×C₇	semidirect
502. #3269	C₂×C₇	semidirect
503. #3261	C₂×C₇	semidirect
504. #3258	C₂×C₇	semidirect
505. #3250	C₂×C₇	semidirect
506. #3225	C₂×C₇	semidirect
507. #3223	C₂×C₇	semidirect
508. #3218	C₂×C₇	semidirect
509. #3127	C₂×C₇	semidirect
510. #3120	C₂×C₇	semidirect
511. #3117	C₂×C₇	semidirect
512. #3046	C₂×C₇	semidirect
513. #3044	C₂×C₇	semidirect
514. C₂×#462	C₂×C₇	semidirect
515. #2992	C₂×C₇	semidirect
1653. C₇	#62010	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×#3516	2
C₇×#3402	2
C₇×#3398	2
C₇×#3377	2
C₇×#3374	2
C₇×#3320	2
C₇×#3316	2
C₇×#3315	2
C₇×#3312	2
C₇×#3301	2
C₇×#3299	2
C₇×D₄×Q₁₆	2
C₇×#3285	2
C₇×#3270	2
C₇×#3269	2
C₇×#3261	2
C₇×#3258	2
C₇×#3250	2
C₇×#3225	2
C₇×#3223	2
C₇×#3218	2
C₇×#3127	2
C₇×#3120	2
C₇×#3117	2
C₇×#3046	2
C₇×#3044	2
C₂×C₇×#462	2
C₇×#2992	2
#62010	7

Subgroups — C7×#62010 #13239226

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62010 #13239226