Subgroups — C₂×#11743480 #14261223

Order 1792.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743480	C₂	1	32	yes	maximal, direct product factor
3	C₂×#90403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#90393	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90393	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#90393	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#90370	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#90373	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#90362	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#90360	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#90349	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#90342	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#90353	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#90340	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#90337	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#90332	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#90304	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#90304	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#90308	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#90294	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#90294	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#90291	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#90285	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#90278	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#90284	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#90284	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#90247	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#90252	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#90233	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#90229	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#90186	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#90186	C₂	1	1	yes	maximal, characteristic, complemented
33	C₇×#538	C₂²	1	16	yes	complemented
34	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₇×#124	C₂²	1	1	yes	characteristic
37	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₇×#123	C₂²	1	1	yes	characteristic
39	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₇×#121	C₂²	1	1	yes	characteristic
42	C₂×C₇×#121	C₂²	1	1	yes	characteristic
43	C₂×C₇×#121	C₂²	1	1	yes	characteristic
44	C₂×C₇×#120	C₂²	1	1	yes	characteristic
45	C₂×C₇×#120	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
49	C₂×#6516	C₂²	1	1	yes	characteristic
50	C₂×#6516	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
52	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
53	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
54	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
55	C₂×Q₈×Dic₇	C₂²	1	1	yes	characteristic, complemented
56	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
57	C₂×#6502	C₂²	1	1	yes	characteristic
58	C₂×#6502	C₂²	1	1	yes	characteristic
59	C₂×#6502	C₂²	1	1	yes	characteristic
60	C₂×#6502	C₂²	1	1	yes	characteristic
61	C₂×#6501	C₂²	1	1	yes	characteristic
62	C₂×#6501	C₂²	1	1	yes	characteristic
63	C₂×#6500	C₂²	1	1	yes	characteristic
64	C₂×#6500	C₂²	1	1	yes	characteristic
65	C₂×#6500	C₂²	1	1	yes	characteristic
66	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
67	C₂×#6499	C₂²	1	1	yes	characteristic
68	C₂×#6499	C₂²	1	1	yes	characteristic
69	C₂×#6499	C₂²	1	1	yes	characteristic
70	C₂×#6499	C₂²	1	1	yes	characteristic
71	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
72	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
73	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
74	C₂×#6498	C₂²	1	1	yes	characteristic
75	C₂×#6498	C₂²	1	1	yes	characteristic
76	C₂×#6498	C₂²	1	1	yes	characteristic
77	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
78	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
79	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
80	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
81	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
82	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
83	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
84	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
85	C₂×#6492	C₂²	1	1	yes	characteristic
86	C₂×#6492	C₂²	1	1	yes	characteristic
87	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
89	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
90	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
91	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
92	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
93	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
94	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
95	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
96	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
97	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
98	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
99	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
100	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
101	#90403	C₂²	1	16	yes	complemented
102	#90393	C₂²	1	16	yes	complemented
103	#90393	C₂²	1	16	yes	complemented
104	#90393	C₂²	1	16	yes	complemented
105	#90373	C₂²	1	16	yes	complemented
106	#90370	C₂²	1	16	yes	complemented
107	#90362	C₂²	1	16	yes	complemented
108	#90360	C₂²	1	16	yes	complemented
109	#90353	C₂²	1	16	yes	complemented
110	#90349	C₂²	1	16	yes	complemented
111	#90342	C₂²	1	16	yes	complemented
112	#90340	C₂²	1	16	yes	complemented
113	#90337	C₂²	1	16	yes	complemented
114	#90332	C₂²	1	16	yes	complemented
115	#90308	C₂²	1	16	yes	complemented
116	#90304	C₂²	1	16	yes	complemented
117	#90304	C₂²	1	16	yes	complemented
118	#90294	C₂²	1	16	yes	complemented
119	#90294	C₂²	1	16	yes	complemented
120	#90291	C₂²	1	16	yes	complemented
121	#90285	C₂²	1	16	yes	complemented
122	#90284	C₂²	1	16	yes	complemented
123	#90284	C₂²	1	16	yes	complemented
124	#90278	C₂²	1	16	yes	complemented
125	#90252	C₂²	1	16	yes	complemented
126	#90247	C₂²	1	16	yes	complemented
127	#90233	C₂²	1	16	yes	complemented
128	#90229	C₂²	1	16	yes	complemented
129	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
130	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
131	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
132	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
133	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
134	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
135	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
136	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
137	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
138	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
139	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
140	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
141	C₂×#6453	C₂²	1	1	yes	characteristic, complemented
142	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
143	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
144	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
145	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
146	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
147	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
148	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
149	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
150	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
151	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
152	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
153	#90186	C₂²	1	16	yes	complemented
154	#90186	C₂²	1	16	yes	complemented
155	C₂×#6449	C₂²	1	1	yes	characteristic
156	C₂×#6449	C₂²	1	1	yes	characteristic
157	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
158	C₂×#6448	C₂²	1	1	yes	characteristic
159	C₂×#6448	C₂²	1	1	yes	characteristic
160	C₂×#6448	C₂²	1	1	yes	characteristic
161	C₂×#6448	C₂²	1	1	yes	characteristic
162	C₂×#6448	C₂²	1	1	yes	characteristic
163	C₂×#6448	C₂²	1	1	yes	characteristic
164	C₂×#6448	C₂²	1	1	yes	characteristic
165	C₂×#6448	C₂²	1	1	yes	characteristic
166	C₂×#6448	C₂²	1	1	yes	characteristic
167	C₂×#6448	C₂²	1	1	yes	characteristic
168	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
169	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
170	C₂×#6446	C₂²	1	1	yes	characteristic
171	C₂×#6446	C₂²	1	1	yes	characteristic
172	C₂×#6446	C₂²	1	1	yes	characteristic
173	C₂×#6446	C₂²	1	1	yes	characteristic
174	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
175	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
176	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
177	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
178	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
182	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
183	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
184	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
185	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
186	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
187	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
188	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
189	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
190	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
191	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
192	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
193	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
194	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
195	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
196	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
197	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
198	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
199	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
200	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
201	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
202	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
204	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
205	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
206	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
207	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
208	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
209	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
210	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
211	C₂×#6439	C₂²	1	1	yes	characteristic, complemented
212	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
213	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
214	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
215	C₂×#6432	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3568	—	7	1	no	maximal, Sylow
220	C₂⁵×C₇	C₂³	1	1	yes	characteristic
221	C₂⁴×D₇	C₂³	1	1	yes	characteristic
222	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
232	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
233	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
239	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
241	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
242	C₂³×Dic₇	C₂³	1	1	yes	characteristic
243	C₂³×Dic₇	C₂³	1	1	yes	characteristic
244	C₂³×Dic₇	C₂³	1	1	yes	characteristic
245	C₂³×Dic₇	C₂³	1	1	yes	characteristic
246	C₂³×Dic₇	C₂³	1	1	yes	characteristic
247	C₂³×Dic₇	C₂³	1	1	yes	characteristic
248	C₂³×Dic₇	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
251	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
252	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
253	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
254	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
255	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
256	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
257	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
258	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
259	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
260	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
261	C₇×#126	C₂³	1	8	yes	complemented
262	C₇×#126	C₂³	1	8	yes	complemented
263	C₇×#124	C₂³	1	8	yes	—
264	C₇×#124	C₂³	1	8	yes	complemented
265	C₇×#123	C₂³	1	8	yes	—
266	C₇×#123	C₂³	1	8	yes	complemented
267	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
268	C₇×#121	C₂³	1	8	yes	—
269	C₇×#121	C₂³	1	8	yes	—
270	C₇×#121	C₂³	1	8	yes	—
271	C₇×#120	C₂³	1	8	yes	—
272	C₇×#120	C₂³	1	8	yes	complemented
273	C₄×C₇×D₄	C₂³	1	8	yes	—
274	C₄×C₇×D₄	C₂³	1	8	yes	complemented
275	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
296	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
298	#6516	C₂³	1	8	yes	—
299	#6516	C₂³	1	8	yes	—
300	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	complemented
325	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	complemented
326	#6509	C₂³	1	8	yes	complemented
327	#6509	C₂³	1	8	yes	complemented
328	Q₈×Dic₇	C₂³	1	8	yes	complemented
329	#6507	C₂³	1	8	yes	complemented
330	#6502	C₂³	1	8	yes	—
331	#6502	C₂³	1	8	yes	—
332	#6502	C₂³	1	8	yes	—
333	#6502	C₂³	1	8	yes	—
334	#6501	C₂³	1	8	yes	—
335	#6501	C₂³	1	8	yes	—
336	#6500	C₂³	1	8	yes	—
337	#6500	C₂³	1	8	yes	—
338	#6500	C₂³	1	8	yes	—
339	#6500	C₂³	1	8	yes	complemented
340	#6499	C₂³	1	8	yes	—
341	#6499	C₂³	1	8	yes	—
342	#6499	C₂³	1	8	yes	—
343	#6499	C₂³	1	8	yes	—
344	#6499	C₂³	1	8	yes	complemented
345	#6499	C₂³	1	8	yes	complemented
346	#6499	C₂³	1	8	yes	complemented
347	#6498	C₂³	1	8	yes	—
348	#6498	C₂³	1	8	yes	—
349	#6498	C₂³	1	8	yes	—
350	#6498	C₂³	1	8	yes	complemented
351	#6498	C₂³	1	8	yes	complemented
352	#6498	C₂³	1	8	yes	complemented
353	D₄×Dic₇	C₂³	1	8	yes	—
354	D₄×Dic₇	C₂³	1	8	yes	—
355	D₄×Dic₇	C₂³	1	8	yes	complemented
356	D₄×Dic₇	C₂³	1	8	yes	complemented
357	D₄×Dic₇	C₂³	1	8	yes	complemented
358	#6492	C₂³	1	8	yes	—
359	#6492	C₂³	1	8	yes	—
360	#6492	C₂³	1	8	yes	complemented
361	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
362	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
363	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
364	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
365	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
366	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
367	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
368	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
369	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
370	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
371	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
372	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
373	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
374	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
375	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
376	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
377	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
378	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
379	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
380	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
381	#6489	C₂³	1	8	yes	complemented
382	#6489	C₂³	1	8	yes	complemented
383	#6489	C₂³	1	8	yes	complemented
384	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
396	#6487	C₂³	1	8	yes	complemented
397	#6487	C₂³	1	8	yes	complemented
398	#6487	C₂³	1	8	yes	complemented
399	#6487	C₂³	1	8	yes	complemented
400	#6487	C₂³	1	8	yes	complemented
401	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
410	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
411	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
415	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
416	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
417	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
419	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
421	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
426	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
427	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
428	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
429	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
430	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
431	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
432	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
433	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
434	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
435	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
436	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
437	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
438	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
439	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
440	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
441	C₂×C₄×Dic₇	C₂³	1	8	yes	complemented
442	#6461	C₂³	1	8	yes	complemented
443	#6461	C₂³	1	8	yes	complemented
444	#6461	C₂³	1	8	yes	complemented
445	#6461	C₂³	1	8	yes	complemented
446	#6461	C₂³	1	8	yes	complemented
447	#6461	C₂³	1	8	yes	complemented
448	#6461	C₂³	1	8	yes	complemented
449	#6460	C₂³	1	8	yes	complemented
450	#6459	C₂³	1	8	yes	complemented
451	#6459	C₂³	1	8	yes	complemented
452	#6459	C₂³	1	8	yes	complemented
453	#6455	C₂³	1	8	yes	complemented
454	#6453	C₂³	1	8	yes	complemented
455	#6452	C₂³	1	8	yes	complemented
456	#6452	C₂³	1	8	yes	complemented
457	#6451	C₂³	1	8	yes	complemented
458	#6451	C₂³	1	8	yes	complemented
459	#6451	C₂³	1	8	yes	complemented
460	#6451	C₂³	1	8	yes	complemented
461	#6450	C₂³	1	8	yes	complemented
462	#6450	C₂³	1	8	yes	complemented
463	#6450	C₂³	1	8	yes	complemented
464	#6450	C₂³	1	8	yes	complemented
465	#6450	C₂³	1	8	yes	complemented
466	#6449	C₂³	1	8	yes	—
467	#6449	C₂³	1	8	yes	—
468	#6449	C₂³	1	8	yes	complemented
469	#6448	C₂³	1	8	yes	—
470	#6448	C₂³	1	8	yes	—
471	#6448	C₂³	1	8	yes	—
472	#6448	C₂³	1	8	yes	—
473	#6448	C₂³	1	8	yes	—
474	#6448	C₂³	1	8	yes	—
475	#6448	C₂³	1	8	yes	—
476	#6448	C₂³	1	8	yes	—
477	#6448	C₂³	1	8	yes	—
478	#6448	C₂³	1	8	yes	—
479	#6448	C₂³	1	8	yes	complemented
480	#6448	C₂³	1	8	yes	complemented
481	#6446	C₂³	1	8	yes	—
482	#6446	C₂³	1	8	yes	—
483	#6446	C₂³	1	8	yes	—
484	#6446	C₂³	1	8	yes	—
485	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
486	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
487	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
488	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
489	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
490	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
491	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
492	#6442	C₂³	1	8	yes	complemented
493	#6442	C₂³	1	8	yes	complemented
494	#6442	C₂³	1	8	yes	complemented
495	#6442	C₂³	1	8	yes	complemented
496	#6442	C₂³	1	8	yes	complemented
497	#6442	C₂³	1	8	yes	complemented
498	#6442	C₂³	1	8	yes	complemented
499	#6442	C₂³	1	8	yes	complemented
500	#6442	C₂³	1	8	yes	complemented
501	#6442	C₂³	1	8	yes	complemented
502	#6442	C₂³	1	8	yes	complemented
503	#6442	C₂³	1	8	yes	complemented
504	#6442	C₂³	1	8	yes	complemented
505	#6442	C₂³	1	8	yes	complemented
506	#6442	C₂³	1	8	yes	complemented
507	#6442	C₂³	1	8	yes	complemented
508	#6441	C₂³	1	8	yes	complemented
509	#6441	C₂³	1	8	yes	complemented
510	#6441	C₂³	1	8	yes	complemented
511	#6441	C₂³	1	8	yes	complemented
512	#6441	C₂³	1	8	yes	complemented
513	#6441	C₂³	1	8	yes	complemented
514	#6441	C₂³	1	8	yes	complemented
515	#6441	C₂³	1	8	yes	complemented
516	#6441	C₂³	1	8	yes	complemented
517	#6440	C₂³	1	8	yes	complemented
518	#6440	C₂³	1	8	yes	complemented
519	#6440	C₂³	1	8	yes	complemented
520	#6440	C₂³	1	8	yes	complemented
521	#6440	C₂³	1	8	yes	complemented
522	#6439	C₂³	1	8	yes	complemented
523	#6435	C₂³	1	8	yes	complemented
524	#6435	C₂³	1	8	yes	complemented
525	#6435	C₂³	1	8	yes	complemented
526	#6432	C₂³	1	8	yes	complemented
527	C₄×Dic₁₄	C₂³	1	8	yes	complemented
528	C₄×Dic₁₄	C₂³	1	8	yes	complemented
529	C₄×Dic₁₄	C₂³	1	8	yes	complemented
530	#3568	—	7	32	no	—
531	C₂×#563	—	7	1	no	—
532	C₂×#563	—	7	1	no	—
533	C₂×#563	—	7	1	no	—
534	C₂×H(3,𝔽₄)	—	7	1	no	—
535	C₂×#556	—	7	1	no	—
536	C₂×#556	—	7	1	no	—
537	C₂×#556	—	7	1	no	—
538	C₂×#556	—	7	1	no	—
539	C₂×#556	—	7	1	no	—
540	C₂×#556	—	7	1	no	—
541	C₂×#551	—	7	1	no	—
542	C₂×#551	—	7	1	no	—
543	C₂×#551	—	7	1	no	—
544	C₂×#551	—	7	1	no	—
545	C₂×#551	—	7	1	no	—
546	C₂×#551	—	7	1	no	—
547	C₂×#542	—	7	1	no	—
548	C₂×#542	—	7	1	no	—
549	C₂×#542	—	7	1	no	—
550	C₂×#542	—	7	1	no	—
551	C₂×#542	—	7	1	no	—
552	C₂×#542	—	7	1	no	—
553	C₂×#538	—	7	1	no	—
554	C₂×#538	—	7	1	no	—
555	C₂×#538	—	7	1	no	—
556	C₂×#538	—	7	1	no	—
557	C₂×#538	—	7	1	no	—
558	C₂×#538	D₇	1	1	yes	characteristic, complemented
559	C₂×#529	—	7	1	no	—
560	C₂×#529	—	7	1	no	—
561	C₂×#529	—	7	1	no	—
562	C₂⁴×C₇	—	4	2	no	—
563	C₂⁴×C₇	—	4	2	no	—
564	C₂⁴×C₇	—	4	2	no	—
565	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
566	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
567	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
568	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
569	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
570	C₂⁴×C₇	C₂⁴	1	4	yes	—
571	C₂³×D₇	—	4	2	no	—
572	C₂³×D₇	—	4	2	no	—
573	C₂³×D₇	—	4	2	no	—
574	C₂³×D₇	C₂⁴	1	1	yes	characteristic
575	C₂³×D₇	C₂⁴	1	1	yes	characteristic
576	C₂³×D₇	C₂⁴	1	4	yes	—
577	C₂×C₇×Q₈	—	4	2	no	—
578	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
579	C₂×C₇×D₄	—	4	2	no	—
580	C₂×C₇×D₄	—	4	2	no	—
581	C₂×C₇×D₄	—	4	2	no	—
582	C₂×C₇×D₄	—	4	2	no	—
583	C₂×C₇×D₄	—	4	2	no	—
584	C₂×C₇×D₄	—	4	2	no	—
585	C₂×C₇×D₄	—	4	2	no	—
586	C₂×C₇×D₄	C₂⁴	1	4	yes	—
587	C₂×C₇×D₄	C₂⁴	1	4	yes	—
588	C₂×C₇×D₄	C₂⁴	1	4	yes	—
589	C₂×C₇×D₄	C₂⁴	1	4	yes	—
590	C₂×C₇×D₄	C₂⁴	1	4	yes	—
591	C₂×C₇×D₄	C₂⁴	1	4	yes	—
592	C₂×C₇×D₄	C₂⁴	1	4	yes	—
593	C₂²×C₄×C₇	—	4	2	no	—
594	C₂²×C₄×C₇	—	4	2	no	—
595	C₂²×C₄×C₇	—	4	2	no	—
596	C₂²×C₄×C₇	—	4	2	no	—
597	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
599	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
600	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
601	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
602	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
603	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
604	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
608	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
609	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
610	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
611	C₂×C₂²⋊D₇	—	4	2	no	—
612	C₂×C₂²⋊D₇	—	4	2	no	—
613	C₂×C₂²⋊D₇	—	4	2	no	—
614	C₂×C₂²⋊D₇	—	4	2	no	—
615	C₂×C₂²⋊D₇	—	4	2	no	—
616	C₂×C₂²⋊D₇	—	4	2	no	—
617	C₂×C₂²⋊D₇	—	4	2	no	—
618	C₂×C₂²⋊D₇	—	4	2	no	—
619	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
620	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
621	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
622	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
623	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
624	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
625	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
626	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
627	C₂²×Dic₇	—	4	2	no	—
628	C₂²×Dic₇	—	4	2	no	—
629	C₂²×Dic₇	—	4	2	no	—
630	C₂²×Dic₇	—	4	2	no	—
631	C₂²×Dic₇	—	4	2	no	—
632	C₂²×Dic₇	—	4	2	no	—
633	C₂²×Dic₇	—	4	2	no	—
634	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
635	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
636	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
637	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
638	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
639	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
640	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
641	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
642	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
643	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
644	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
645	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
646	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
647	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
648	C₂²×Dic₇	C₂⁴	1	4	yes	—
649	C₂²×Dic₇	C₂⁴	1	4	yes	—
650	C₂²×Dic₇	C₂⁴	1	4	yes	—
651	C₂²×Dic₇	C₂⁴	1	4	yes	—
652	C₂²×Dic₇	C₂⁴	1	4	yes	—
653	C₂²×Dic₇	C₂⁴	1	4	yes	—
654	C₂²×Dic₇	C₂⁴	1	4	yes	—
655	C₂×C₄×D₇	—	4	2	no	—
656	C₂×C₄×D₇	—	4	2	no	—
657	C₂×C₄×D₇	—	4	2	no	—
658	C₂×C₄×D₇	—	4	2	no	—
659	C₂×C₄×D₇	C₂⁴	1	4	yes	—
660	C₂×C₄×D₇	C₂⁴	1	4	yes	—
661	C₂×C₄×D₇	C₂⁴	1	4	yes	—
662	C₂×C₄×D₇	C₂⁴	1	4	yes	—
663	C₂×Dic₁₄	—	4	2	no	—
664	C₂×Dic₁₄	—	4	2	no	—
665	C₂×Dic₁₄	—	4	2	no	—
666	C₂×Dic₁₄	—	4	2	no	—
667	C₂×Dic₁₄	—	4	2	no	—
668	C₂×Dic₁₄	—	4	2	no	—
669	C₂×Dic₁₄	—	4	2	no	—
670	C₂×Dic₁₄	—	4	2	no	—
671	C₂×Dic₁₄	C₂⁴	1	4	yes	—
672	C₂×Dic₁₄	C₂⁴	1	4	yes	—
673	C₂×Dic₁₄	C₂⁴	1	4	yes	—
674	C₂×Dic₁₄	C₂⁴	1	4	yes	—
675	C₂×Dic₁₄	C₂⁴	1	4	yes	—
676	C₂×Dic₁₄	C₂⁴	1	4	yes	—
677	C₂×Dic₁₄	C₂⁴	1	4	yes	—
678	C₂×Dic₁₄	C₂⁴	1	4	yes	—
679	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
680	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
685	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
686	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
687	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
688	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
689	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
690	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
691	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
692	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
693	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
694	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
695	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
696	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
697	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
698	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₄²×C₇	C₂⁴	1	4	yes	—
700	C₄²×C₇	C₂⁴	1	4	yes	—
701	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
702	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
703	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
704	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
705	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
706	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
707	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
708	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
709	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
710	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
711	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
712	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
713	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
714	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
715	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
716	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
717	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
718	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
719	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
720	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
721	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
722	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
723	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
724	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
725	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
726	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
727	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
728	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
729	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
730	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
731	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
732	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
733	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
734	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
735	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
736	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
737	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
738	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
739	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
740	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
741	C₄⋊Dic₇	C₂⁴	1	4	yes	—
742	C₄⋊Dic₇	C₂⁴	1	4	yes	—
743	C₄⋊Dic₇	C₂⁴	1	4	yes	—
744	C₄⋊Dic₇	C₂⁴	1	4	yes	—
745	C₄⋊Dic₇	C₂⁴	1	4	yes	—
746	C₄⋊Dic₇	C₂⁴	1	4	yes	—
747	C₄⋊Dic₇	C₂⁴	1	4	yes	—
748	C₄⋊Dic₇	C₂⁴	1	4	yes	—
749	C₄⋊Dic₇	C₂⁴	1	4	yes	—
750	C₄⋊Dic₇	C₂⁴	1	4	yes	—
751	C₄⋊Dic₇	C₂⁴	1	4	yes	—
752	C₄⋊Dic₇	C₂⁴	1	4	yes	—
753	Dic₇⋊C₄	C₂⁴	1	4	yes	—
754	Dic₇⋊C₄	C₂⁴	1	4	yes	—
755	Dic₇⋊C₄	C₂⁴	1	4	yes	—
756	Dic₇⋊C₄	C₂⁴	1	4	yes	—
757	Dic₇⋊C₄	C₂⁴	1	4	yes	—
758	Dic₇⋊C₄	C₂⁴	1	4	yes	—
759	Dic₇⋊C₄	C₂⁴	1	4	yes	—
760	Dic₇⋊C₄	C₂⁴	1	4	yes	—
761	Dic₇⋊C₄	C₂⁴	1	4	yes	—
762	Dic₇⋊C₄	C₂⁴	1	4	yes	—
763	Dic₇⋊C₄	C₂⁴	1	4	yes	—
764	Dic₇⋊C₄	C₂⁴	1	4	yes	—
765	Dic₇⋊C₄	C₂⁴	1	4	yes	—
766	Dic₇⋊C₄	C₂⁴	1	4	yes	—
767	Dic₇⋊C₄	C₂⁴	1	4	yes	—
768	Dic₇⋊C₄	C₂⁴	1	4	yes	—
769	Dic₇⋊C₄	C₂⁴	1	4	yes	—
770	Dic₇⋊C₄	C₂⁴	1	4	yes	—
771	Dic₇⋊C₄	C₂⁴	1	4	yes	—
772	Dic₇⋊C₄	C₂⁴	1	4	yes	—
773	Dic₇⋊C₄	C₂⁴	1	4	yes	—
774	Dic₇⋊C₄	C₂⁴	1	4	yes	—
775	Dic₇⋊C₄	C₂⁴	1	4	yes	—
776	Dic₇⋊C₄	C₂⁴	1	4	yes	—
777	C₄×Dic₇	C₂⁴	1	4	yes	—
778	C₄×Dic₇	C₂⁴	1	4	yes	—
779	C₄×Dic₇	C₂⁴	1	4	yes	—
780	C₄×Dic₇	C₂⁴	1	4	yes	—
781	C₄×Dic₇	C₂⁴	1	4	yes	—
782	C₄×Dic₇	C₂⁴	1	4	yes	—
783	C₄×Dic₇	C₂⁴	1	4	yes	—
784	C₄×Dic₇	C₂⁴	1	4	yes	—
785	C₄×Dic₇	C₂⁴	1	4	yes	—
786	C₄×Dic₇	C₂⁴	1	4	yes	—
787	C₄×Dic₇	C₂⁴	1	4	yes	—
788	C₄×Dic₇	C₂⁴	1	4	yes	—
789	C₄×Dic₇	C₂⁴	1	4	yes	—
790	C₄×Dic₇	C₂⁴	1	4	yes	—
791	C₄×Dic₇	C₂⁴	1	4	yes	—
792	C₄×Dic₇	C₂⁴	1	4	yes	—
793	#563	—	7	16	no	—
794	#563	—	7	16	no	—
795	#563	—	7	16	no	—
796	H(3,𝔽₄)	—	7	16	no	—
797	#556	—	7	16	no	—
798	#556	—	7	16	no	—
799	#556	—	7	16	no	—
800	#556	—	7	16	no	—
801	#556	—	7	16	no	—
802	#556	—	7	16	no	—
803	#551	—	7	16	no	—
804	#551	—	7	16	no	—
805	#551	—	7	16	no	—
806	#551	—	7	16	no	—
807	#551	—	7	16	no	—
808	#551	—	7	16	no	—
809	#542	—	7	16	no	—
810	#542	—	7	16	no	—
811	#542	—	7	16	no	—
812	#542	—	7	16	no	—
813	#542	—	7	16	no	—
814	#542	—	7	16	no	—
815	#538	—	7	16	no	—
816	#538	—	7	16	no	—
817	#538	—	7	16	no	—
818	#538	—	7	16	no	—
819	#538	—	7	16	no	—
820	#538	C₂×D₇	1	16	yes	complemented
821	C₂×C₄⋊Q₈	—	7	1	no	—
822	C₂×C₄⋊Q₈	—	7	1	no	—
823	C₂×C₄⋊Q₈	—	7	1	no	—
824	C₂×C₄⋊Q₈	—	7	1	no	—
825	C₂×C₄⋊Q₈	—	7	1	no	—
826	C₂×C₄⋊Q₈	—	7	1	no	—
827	#529	—	7	16	no	—
828	#529	—	7	16	no	—
829	#529	—	7	16	no	—
830	C₂×#126	—	7	1	no	—
831	C₂×#126	—	7	1	no	—
832	C₂×#126	—	7	1	no	—
833	C₂×#126	—	7	1	no	—
834	C₂×#126	—	7	1	no	—
835	C₂×#126	—	7	1	no	—
836	C₂×#126	—	7	1	no	—
837	C₂×#126	—	7	1	no	—
838	C₂×#126	—	7	1	no	—
839	C₂×#126	—	7	1	no	—
840	C₂×#126	—	7	1	no	—
841	C₂×#126	—	7	1	no	—
842	C₂×#126	—	7	1	no	—
843	C₂×#126	—	7	1	no	—
844	C₂×#126	—	7	1	no	—
845	C₂×#126	—	7	1	no	—
846	C₂×#126	—	7	1	no	—
847	C₂×#126	—	7	1	no	—
848	C₂×#126	—	7	1	no	—
849	C₂×#126	—	7	1	no	—
850	C₂×#126	—	7	1	no	—
851	C₂×#126	—	7	1	no	—
852	C₂×#126	—	7	1	no	—
853	C₂×#126	—	7	1	no	—
854	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
855	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
856	C₂×#125	—	7	1	no	—
857	C₂×#125	—	7	1	no	—
858	C₂×#125	—	7	1	no	—
859	C₂×#124	—	7	1	no	—
860	C₂×#124	—	7	1	no	—
861	C₂×#124	—	7	1	no	—
862	C₂×#124	—	7	1	no	—
863	C₂×#124	—	7	1	no	—
864	C₂×#124	—	7	1	no	—
865	C₂×#124	—	7	1	no	—
866	C₂×#124	—	7	1	no	—
867	C₂×#124	—	7	1	no	—
868	C₂×#124	—	7	1	no	—
869	C₂×#124	—	7	1	no	—
870	C₂×#124	—	7	1	no	—
871	C₂×#124	—	7	1	no	—
872	C₂×#124	—	7	1	no	—
873	C₂×#124	—	7	1	no	—
874	C₂×#124	—	7	1	no	—
875	C₂×#124	—	7	1	no	—
876	C₂×#124	—	7	1	no	—
877	C₂×#124	—	7	1	no	—
878	C₂×#124	C₂×D₇	1	1	yes	characteristic
879	C₂×#124	C₂×D₇	1	1	yes	characteristic, complemented
880	C₂×#123	—	7	1	no	—
881	C₂×#123	—	7	1	no	—
882	C₂×#123	—	7	1	no	—
883	C₂×#123	—	7	1	no	—
884	C₂×#123	—	7	1	no	—
885	C₂×#123	—	7	1	no	—
886	C₂×#123	—	7	1	no	—
887	C₂×#123	—	7	1	no	—
888	C₂×#123	—	7	1	no	—
889	C₂×#123	—	7	1	no	—
890	C₂×#123	—	7	1	no	—
891	C₂×#123	—	7	1	no	—
892	C₂×#123	—	7	1	no	—
893	C₂×#123	—	7	1	no	—
894	C₂×#123	—	7	1	no	—
895	C₂×#123	—	7	1	no	—
896	C₂×#123	C₂×D₇	1	1	yes	characteristic
897	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
898	C₂×C₂²⋊Q₈	—	7	1	no	—
899	C₂×C₂²⋊Q₈	—	7	1	no	—
900	C₂×C₂²⋊Q₈	—	7	1	no	—
901	C₂×C₂²⋊Q₈	—	7	1	no	—
902	C₂×C₂²⋊Q₈	—	7	1	no	—
903	C₂×C₂²⋊Q₈	—	7	1	no	—
904	C₂×C₂²⋊Q₈	—	7	1	no	—
905	C₂×C₂²⋊Q₈	—	7	1	no	—
906	C₂×C₂²⋊Q₈	—	7	1	no	—
907	C₂×C₂²⋊Q₈	—	7	1	no	—
908	C₂×C₂²⋊Q₈	—	7	1	no	—
909	C₂×C₂²⋊Q₈	—	7	1	no	—
910	C₂×C₂²⋊Q₈	—	7	1	no	—
911	C₂×C₂²⋊Q₈	—	7	1	no	—
912	C₂×C₂²⋊Q₈	—	7	1	no	—
913	C₂×C₂²⋊Q₈	—	7	1	no	—
914	C₂×C₂²⋊Q₈	—	7	1	no	—
915	C₂×C₂²⋊Q₈	—	7	1	no	—
916	C₂×C₂²⋊Q₈	—	7	1	no	—
917	C₂×C₂²⋊Q₈	—	7	1	no	—
918	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
919	C₂×#121	—	7	1	no	—
920	C₂×#121	—	7	1	no	—
921	C₂×#121	—	7	1	no	—
922	C₂×#121	—	7	1	no	—
923	C₂×#121	—	7	1	no	—
924	C₂×#121	—	7	1	no	—
925	C₂×#121	C₂×D₇	1	1	yes	characteristic
926	C₂×#121	C₂×D₇	1	1	yes	characteristic
927	C₂×#121	C₂×D₇	1	1	yes	characteristic
928	C₂×#120	—	7	1	no	—
929	C₂×#120	—	7	1	no	—
930	C₂×#120	—	7	1	no	—
931	C₂×#120	—	7	1	no	—
932	C₂×#120	—	7	1	no	—
933	C₂×#120	—	7	1	no	—
934	C₂×#120	C₂×D₇	1	1	yes	characteristic
935	C₂×#120	C₂×D₇	1	1	yes	characteristic, complemented
936	C₂×C₄×Q₈	—	7	1	no	—
937	C₂×C₄×Q₈	—	7	1	no	—
938	C₂×C₄×Q₈	—	7	1	no	—
939	C₂×C₄×Q₈	—	7	1	no	—
940	C₂×C₄×Q₈	—	7	1	no	—
941	C₂×C₄×Q₈	—	7	1	no	—
942	C₂×C₄×Q₈	—	7	1	no	—
943	C₂×C₄×Q₈	—	7	1	no	—
944	C₂×C₄×Q₈	—	7	1	no	—
945	C₂×C₄×D₄	—	7	1	no	—
946	C₂×C₄×D₄	—	7	1	no	—
947	C₂×C₄×D₄	—	7	1	no	—
948	C₂×C₄×D₄	—	7	1	no	—
949	C₂×C₄×D₄	—	7	1	no	—
950	C₂×C₄×D₄	—	7	1	no	—
951	C₂×C₄×D₄	—	7	1	no	—
952	C₂×C₄×D₄	—	7	1	no	—
953	C₂×C₄×D₄	—	7	1	no	—
954	C₂×C₄×D₄	—	7	1	no	—
955	C₂×C₄×D₄	—	7	1	no	—
956	C₂×C₄×D₄	—	7	1	no	—
957	C₂×C₄×D₄	—	7	1	no	—
958	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
959	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
960	C₂×#117	—	7	1	no	—
961	C₂×#117	—	7	1	no	—
962	C₂×#117	—	7	1	no	—
963	C₂×#117	—	7	1	no	—
964	C₂×#117	—	7	1	no	—
965	C₂×#117	—	7	1	no	—
966	C₂×#117	—	7	1	no	—
967	C₂×#117	—	7	1	no	—
968	C₂×#117	—	7	1	no	—
969	C₂×#117	—	7	1	no	—
970	C₂×#117	—	7	1	no	—
971	C₂×#117	—	7	1	no	—
972	C₂²×C₂²⋊C₄	—	7	1	no	—
973	C₂²×C₂²⋊C₄	—	7	1	no	—
974	C₂²×C₂²⋊C₄	—	7	1	no	—
975	C₂²×C₂²⋊C₄	—	7	1	no	—
976	C₂²×C₂²⋊C₄	—	7	1	no	—
977	C₂²×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
978	C₂²×C₄²	—	7	1	no	—
979	C₂³×C₇	—	2	2	no	—
980	C₂³×C₇	—	2	2	no	—
981	C₂³×C₇	—	2	2	no	—
982	C₂³×C₇	—	2	2	no	—
983	C₂³×C₇	—	2	2	no	—
984	C₂³×C₇	—	2	2	no	—
985	C₂³×C₇	—	2	2	no	—
986	C₂³×C₇	—	2	2	no	—
987	C₂³×C₇	—	2	2	no	—
988	C₂³×C₇	—	2	2	no	—
989	C₂³×C₇	—	2	2	no	—
990	C₂³×C₇	—	2	2	no	—
991	C₂³×C₇	—	2	2	no	—
992	C₂³×C₇	—	2	2	no	—
993	C₂³×C₇	—	2	2	no	—
994	C₂³×C₇	—	4	4	no	—
995	C₂³×C₇	—	4	4	no	—
996	C₂³×C₇	—	4	4	no	—
997	C₂³×C₇	—	8	8	no	—
998	C₂³×C₇	C₂⁵	1	2	yes	—
999	C₂³×C₇	C₂⁵	1	2	yes	—
1000	C₂³×C₇	C₂⁵	1	2	yes	—
1001	C₂³×C₇	C₂⁵	1	2	yes	—
1002	C₂³×C₇	C₂⁵	1	2	yes	—
1003	C₂³×C₇	C₂⁵	1	1	yes	characteristic
1004	C₂²×D₇	—	2	2	no	—
1005	C₂²×D₇	—	2	2	no	—
1006	C₂²×D₇	—	2	2	no	—
1007	C₂²×D₇	—	2	2	no	—
1008	C₂²×D₇	—	2	2	no	—
1009	C₂²×D₇	—	2	2	no	—
1010	C₂²×D₇	—	4	4	no	—
1011	C₂²×D₇	—	4	4	no	—
1012	C₂²×D₇	—	4	4	no	—
1013	C₂²×D₇	—	8	8	no	—
1014	C₂²×D₇	C₂⁵	1	2	yes	—
1015	C₂²×D₇	C₂⁵	1	2	yes	—
1016	C₇×Q₈	—	4	4	no	—
1017	C₇×D₄	—	4	4	no	—
1018	C₇×D₄	—	4	4	no	—
1019	C₇×D₄	—	4	4	no	—
1020	C₇×D₄	—	4	4	no	—
1021	C₇×D₄	—	4	4	no	—
1022	C₇×D₄	—	4	4	no	—
1023	C₇×D₄	—	4	4	no	—
1024	C₂×C₄×C₇	—	2	2	no	—
1025	C₂×C₄×C₇	—	2	2	no	—
1026	C₂×C₄×C₇	—	2	2	no	—
1027	C₂×C₄×C₇	—	2	2	no	—
1028	C₂×C₄×C₇	—	2	2	no	—
1029	C₂×C₄×C₇	—	2	2	no	—
1030	C₂×C₄×C₇	—	2	2	no	—
1031	C₂×C₄×C₇	—	2	2	no	—
1032	C₂×C₄×C₇	—	2	2	no	—
1033	C₂×C₄×C₇	—	2	2	no	—
1034	C₂×C₄×C₇	—	4	4	no	—
1035	C₂×C₄×C₇	—	4	4	no	—
1036	C₂×C₄×C₇	—	4	4	no	—
1037	C₂×C₄×C₇	—	4	4	no	—
1038	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1039	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1040	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1041	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1042	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1043	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1044	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1045	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1046	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1047	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1048	C₂²⋊D₇	—	4	4	no	—
1049	C₂²⋊D₇	—	4	4	no	—
1050	C₂²⋊D₇	—	4	4	no	—
1051	C₂²⋊D₇	—	4	4	no	—
1052	C₂²⋊D₇	—	4	4	no	—
1053	C₂²⋊D₇	—	4	4	no	—
1054	C₂²⋊D₇	—	4	4	no	—
1055	C₂²⋊D₇	—	4	4	no	—
1056	C₂×Dic₇	—	2	2	no	—
1057	C₂×Dic₇	—	2	2	no	—
1058	C₂×Dic₇	—	2	2	no	—
1059	C₂×Dic₇	—	2	2	no	—
1060	C₂×Dic₇	—	2	2	no	—
1061	C₂×Dic₇	—	2	2	no	—
1062	C₂×Dic₇	—	2	2	no	—
1063	C₂×Dic₇	—	2	2	no	—
1064	C₂×Dic₇	—	2	2	no	—
1065	C₂×Dic₇	—	2	2	no	—
1066	C₂×Dic₇	—	2	2	no	—
1067	C₂×Dic₇	—	2	2	no	—
1068	C₂×Dic₇	—	2	2	no	—
1069	C₂×Dic₇	—	2	2	no	—
1070	C₂×Dic₇	—	4	4	no	—
1071	C₂×Dic₇	—	4	4	no	—
1072	C₂×Dic₇	—	4	4	no	—
1073	C₂×Dic₇	—	4	4	no	—
1074	C₂×Dic₇	—	4	4	no	—
1075	C₂×Dic₇	—	4	4	no	—
1076	C₂×Dic₇	—	4	4	no	—
1077	C₂×Dic₇	C₂⁵	1	2	yes	—
1078	C₂×Dic₇	C₂⁵	1	2	yes	—
1079	C₂×Dic₇	C₂⁵	1	2	yes	—
1080	C₂×Dic₇	C₂⁵	1	2	yes	—
1081	C₂×Dic₇	C₂⁵	1	2	yes	—
1082	C₂×Dic₇	C₂⁵	1	2	yes	—
1083	C₂×Dic₇	C₂⁵	1	2	yes	—
1084	C₂×Dic₇	C₂⁵	1	2	yes	—
1085	C₂×Dic₇	C₂⁵	1	2	yes	—
1086	C₂×Dic₇	C₂⁵	1	2	yes	—
1087	C₂×Dic₇	C₂⁵	1	2	yes	—
1088	C₂×Dic₇	C₂⁵	1	2	yes	—
1089	C₂×Dic₇	C₂⁵	1	2	yes	—
1090	C₂×Dic₇	C₂⁵	1	2	yes	—
1091	C₄×D₇	—	4	4	no	—
1092	C₄×D₇	—	4	4	no	—
1093	C₄×D₇	—	4	4	no	—
1094	C₄×D₇	—	4	4	no	—
1095	Dic₁₄	—	4	4	no	—
1096	Dic₁₄	—	4	4	no	—
1097	Dic₁₄	—	4	4	no	—
1098	Dic₁₄	—	4	4	no	—
1099	Dic₁₄	—	4	4	no	—
1100	Dic₁₄	—	4	4	no	—
1101	Dic₁₄	—	4	4	no	—
1102	Dic₁₄	—	4	4	no	—
1103	C₂⁵	—	7	1	no	—
1104	C₂⁵	C₂²×D₇	1	1	yes	characteristic
1105	C₂²×Q₈	—	7	1	no	—
1106	C₂²×Q₈	—	7	1	no	—
1107	C₂²×Q₈	—	7	1	no	—
1108	C₂²×Q₈	—	7	1	no	—
1109	C₂²×Q₈	—	7	1	no	—
1110	C₂²×Q₈	—	7	1	no	—
1111	C₂²×Q₈	—	7	1	no	—
1112	C₂²×Q₈	—	7	1	no	—
1113	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1114	C₂²×D₄	—	7	1	no	—
1115	C₂²×D₄	—	7	1	no	—
1116	C₂²×D₄	—	7	1	no	—
1117	C₂²×D₄	—	7	1	no	—
1118	C₂²×D₄	—	7	1	no	—
1119	C₂²×D₄	—	7	1	no	—
1120	C₂²×D₄	—	7	1	no	—
1121	C₂²×D₄	—	7	1	no	—
1122	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1123	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1124	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1125	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1126	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1127	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1128	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1129	C₂³×C₄	—	7	1	no	—
1130	C₂³×C₄	—	7	1	no	—
1131	C₂³×C₄	—	7	1	no	—
1132	C₂³×C₄	—	7	1	no	—
1133	C₂³×C₄	—	7	1	no	—
1134	C₂³×C₄	—	7	1	no	—
1135	C₂³×C₄	—	7	1	no	—
1136	C₂³×C₄	—	7	1	no	—
1137	C₂³×C₄	—	7	1	no	—
1138	C₂³×C₄	—	7	1	no	—
1139	C₂³×C₄	—	7	1	no	—
1140	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1141	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1142	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1143	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1144	C₄⋊Q₈	—	7	8	no	—
1145	C₄⋊Q₈	—	7	8	no	—
1146	C₄⋊Q₈	—	7	8	no	—
1147	C₄⋊Q₈	—	7	8	no	—
1148	C₄⋊Q₈	—	7	8	no	—
1149	C₄⋊Q₈	—	7	8	no	—
1150	#126	—	7	8	no	—
1151	#126	—	7	8	no	—
1152	#126	—	7	8	no	—
1153	#126	—	7	8	no	—
1154	#126	—	7	8	no	—
1155	#126	—	7	8	no	—
1156	#126	—	7	8	no	—
1157	#126	—	7	8	no	—
1158	#126	—	7	8	no	—
1159	#126	—	7	8	no	—
1160	#126	—	7	8	no	—
1161	#126	—	7	8	no	—
1162	#126	—	7	8	no	—
1163	#126	—	7	8	no	—
1164	#126	—	7	8	no	—
1165	#126	—	7	8	no	—
1166	#126	—	7	8	no	—
1167	#126	—	7	8	no	—
1168	#126	—	7	8	no	—
1169	#126	—	7	8	no	—
1170	#126	—	7	8	no	—
1171	#126	—	7	8	no	—
1172	#126	—	7	8	no	—
1173	#126	—	7	8	no	—
1174	#126	C₂²×D₇	1	8	yes	complemented
1175	#126	C₂²×D₇	1	8	yes	complemented
1176	#125	—	7	8	no	—
1177	#125	—	7	8	no	—
1178	#125	—	7	8	no	—
1179	#124	—	7	8	no	—
1180	#124	—	7	8	no	—
1181	#124	—	7	8	no	—
1182	#124	—	7	8	no	—
1183	#124	—	7	8	no	—
1184	#124	—	7	8	no	—
1185	#124	—	7	8	no	—
1186	#124	—	7	8	no	—
1187	#124	—	7	8	no	—
1188	#124	—	7	8	no	—
1189	#124	—	7	8	no	—
1190	#124	—	7	8	no	—
1191	#124	—	7	8	no	—
1192	#124	—	7	8	no	—
1193	#124	—	7	8	no	—
1194	#124	—	7	8	no	—
1195	#124	—	7	8	no	—
1196	#124	—	7	8	no	—
1197	#124	—	7	8	no	—
1198	#124	C₂²×D₇	1	8	yes	—
1199	#124	C₂²×D₇	1	8	yes	complemented
1200	#123	—	7	8	no	—
1201	#123	—	7	8	no	—
1202	#123	—	7	8	no	—
1203	#123	—	7	8	no	—
1204	#123	—	7	8	no	—
1205	#123	—	7	8	no	—
1206	#123	—	7	8	no	—
1207	#123	—	7	8	no	—
1208	#123	—	7	8	no	—
1209	#123	—	7	8	no	—
1210	#123	—	7	8	no	—
1211	#123	—	7	8	no	—
1212	#123	—	7	8	no	—
1213	#123	—	7	8	no	—
1214	#123	—	7	8	no	—
1215	#123	—	7	8	no	—
1216	#123	C₂²×D₇	1	8	yes	—
1217	#123	C₂²×D₇	1	8	yes	complemented
1218	C₂²⋊Q₈	—	7	8	no	—
1219	C₂²⋊Q₈	—	7	8	no	—
1220	C₂²⋊Q₈	—	7	8	no	—
1221	C₂²⋊Q₈	—	7	8	no	—
1222	C₂²⋊Q₈	—	7	8	no	—
1223	C₂²⋊Q₈	—	7	8	no	—
1224	C₂²⋊Q₈	—	7	8	no	—
1225	C₂²⋊Q₈	—	7	8	no	—
1226	C₂²⋊Q₈	—	7	8	no	—
1227	C₂²⋊Q₈	—	7	8	no	—
1228	C₂²⋊Q₈	—	7	8	no	—
1229	C₂²⋊Q₈	—	7	8	no	—
1230	C₂²⋊Q₈	—	7	8	no	—
1231	C₂²⋊Q₈	—	7	8	no	—
1232	C₂²⋊Q₈	—	7	8	no	—
1233	C₂²⋊Q₈	—	7	8	no	—
1234	C₂²⋊Q₈	—	7	8	no	—
1235	C₂²⋊Q₈	—	7	8	no	—
1236	C₂²⋊Q₈	—	7	8	no	—
1237	C₂²⋊Q₈	—	7	8	no	—
1238	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1239	#121	—	7	8	no	—
1240	#121	—	7	8	no	—
1241	#121	—	7	8	no	—
1242	#121	—	7	8	no	—
1243	#121	—	7	8	no	—
1244	#121	—	7	8	no	—
1245	#121	C₂²×D₇	1	8	yes	—
1246	#121	C₂²×D₇	1	8	yes	—
1247	#121	C₂²×D₇	1	8	yes	—
1248	#120	—	7	8	no	—
1249	#120	—	7	8	no	—
1250	#120	—	7	8	no	—
1251	#120	—	7	8	no	—
1252	#120	—	7	8	no	—
1253	#120	—	7	8	no	—
1254	#120	C₂²×D₇	1	8	yes	—
1255	#120	C₂²×D₇	1	8	yes	complemented
1256	C₄×Q₈	—	7	8	no	—
1257	C₄×Q₈	—	7	8	no	—
1258	C₄×Q₈	—	7	8	no	—
1259	C₄×Q₈	—	7	8	no	—
1260	C₄×Q₈	—	7	8	no	—
1261	C₄×Q₈	—	7	8	no	—
1262	C₄×Q₈	—	7	8	no	—
1263	C₄×Q₈	—	7	8	no	—
1264	C₄×Q₈	—	7	8	no	—
1265	C₄×D₄	—	7	8	no	—
1266	C₄×D₄	—	7	8	no	—
1267	C₄×D₄	—	7	8	no	—
1268	C₄×D₄	—	7	8	no	—
1269	C₄×D₄	—	7	8	no	—
1270	C₄×D₄	—	7	8	no	—
1271	C₄×D₄	—	7	8	no	—
1272	C₄×D₄	—	7	8	no	—
1273	C₄×D₄	—	7	8	no	—
1274	C₄×D₄	—	7	8	no	—
1275	C₄×D₄	—	7	8	no	—
1276	C₄×D₄	—	7	8	no	—
1277	C₄×D₄	—	7	8	no	—
1278	C₄×D₄	C₂²×D₇	1	8	yes	—
1279	C₄×D₄	C₂²×D₇	1	8	yes	complemented
1280	#117	—	7	8	no	—
1281	#117	—	7	8	no	—
1282	#117	—	7	8	no	—
1283	#117	—	7	8	no	—
1284	#117	—	7	8	no	—
1285	#117	—	7	8	no	—
1286	#117	—	7	8	no	—
1287	#117	—	7	8	no	—
1288	#117	—	7	8	no	—
1289	#117	—	7	8	no	—
1290	#117	—	7	8	no	—
1291	#117	—	7	8	no	—
1292	C₂×C₄⋊C₄	—	7	1	no	—
1293	C₂×C₄⋊C₄	—	7	1	no	—
1294	C₂×C₄⋊C₄	—	7	1	no	—
1295	C₂×C₄⋊C₄	—	7	1	no	—
1296	C₂×C₄⋊C₄	—	7	1	no	—
1297	C₂×C₄⋊C₄	—	7	1	no	—
1298	C₂×C₄⋊C₄	—	7	1	no	—
1299	C₂×C₄⋊C₄	—	7	1	no	—
1300	C₂×C₄⋊C₄	—	7	1	no	—
1301	C₂×C₄⋊C₄	—	7	1	no	—
1302	C₂×C₄⋊C₄	—	7	1	no	—
1303	C₂×C₄⋊C₄	—	7	1	no	—
1304	C₂×C₄⋊C₄	—	7	1	no	—
1305	C₂×C₄⋊C₄	—	7	1	no	—
1306	C₂×C₄⋊C₄	—	7	1	no	—
1307	C₂×C₄⋊C₄	—	7	1	no	—
1308	C₂×C₄⋊C₄	—	7	1	no	—
1309	C₂×C₄⋊C₄	—	7	1	no	—
1310	C₂×C₄⋊C₄	—	7	1	no	—
1311	C₂×C₄⋊C₄	—	7	1	no	—
1312	C₂×C₄⋊C₄	—	7	1	no	—
1313	C₂×C₄⋊C₄	—	7	1	no	—
1314	C₂×C₄⋊C₄	—	7	1	no	—
1315	C₂×C₄⋊C₄	—	7	1	no	—
1316	C₂×C₄⋊C₄	—	7	1	no	—
1317	C₂×C₄⋊C₄	—	7	1	no	—
1318	C₂×C₄⋊C₄	—	7	1	no	—
1319	C₂×C₄⋊C₄	—	7	1	no	—
1320	C₂×C₄⋊C₄	—	7	1	no	—
1321	C₂×C₄⋊C₄	—	7	1	no	—
1322	C₂×C₄⋊C₄	—	7	1	no	—
1323	C₂×C₄⋊C₄	—	7	1	no	—
1324	C₂×C₄⋊C₄	—	7	1	no	—
1325	C₂×C₄⋊C₄	—	7	1	no	—
1326	C₂×C₄⋊C₄	—	7	1	no	—
1327	C₂×C₄⋊C₄	—	7	1	no	—
1328	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1329	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1330	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1331	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1332	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1333	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1334	C₂×C₂²⋊C₄	—	7	1	no	—
1335	C₂×C₂²⋊C₄	—	7	1	no	—
1336	C₂×C₂²⋊C₄	—	7	1	no	—
1337	C₂×C₂²⋊C₄	—	7	1	no	—
1338	C₂×C₂²⋊C₄	—	7	1	no	—
1339	C₂×C₂²⋊C₄	—	7	1	no	—
1340	C₂×C₂²⋊C₄	—	7	1	no	—
1341	C₂×C₂²⋊C₄	—	7	1	no	—
1342	C₂×C₂²⋊C₄	—	7	1	no	—
1343	C₂×C₂²⋊C₄	—	7	1	no	—
1344	C₂×C₂²⋊C₄	—	7	8	no	—
1345	C₂×C₂²⋊C₄	—	7	8	no	—
1346	C₂×C₂²⋊C₄	—	7	1	no	—
1347	C₂×C₂²⋊C₄	—	7	1	no	—
1348	C₂×C₂²⋊C₄	—	7	1	no	—
1349	C₂×C₂²⋊C₄	—	7	1	no	—
1350	C₂×C₂²⋊C₄	—	7	1	no	—
1351	C₂×C₂²⋊C₄	—	7	1	no	—
1352	C₂×C₂²⋊C₄	—	7	1	no	—
1353	C₂×C₂²⋊C₄	—	7	1	no	—
1354	C₂×C₂²⋊C₄	—	7	1	no	—
1355	C₂×C₂²⋊C₄	—	7	1	no	—
1356	C₂×C₂²⋊C₄	—	7	1	no	—
1357	C₂×C₂²⋊C₄	—	7	1	no	—
1358	C₂×C₂²⋊C₄	—	7	1	no	—
1359	C₂×C₂²⋊C₄	—	7	1	no	—
1360	C₂×C₂²⋊C₄	—	7	1	no	—
1361	C₂×C₂²⋊C₄	—	7	1	no	—
1362	C₂×C₂²⋊C₄	—	7	1	no	—
1363	C₂×C₂²⋊C₄	—	7	1	no	—
1364	C₂×C₂²⋊C₄	—	7	1	no	—
1365	C₂×C₂²⋊C₄	—	7	1	no	—
1366	C₂×C₂²⋊C₄	—	7	1	no	—
1367	C₂×C₂²⋊C₄	—	7	1	no	—
1368	C₂×C₂²⋊C₄	—	7	8	no	—
1369	C₂×C₂²⋊C₄	—	7	1	no	—
1370	C₂×C₂²⋊C₄	—	7	1	no	—
1371	C₂×C₂²⋊C₄	—	7	1	no	—
1372	C₂×C₂²⋊C₄	—	7	1	no	—
1373	C₂×C₂²⋊C₄	—	7	1	no	—
1374	C₂×C₂²⋊C₄	—	7	1	no	—
1375	C₂×C₂²⋊C₄	—	7	1	no	—
1376	C₂×C₂²⋊C₄	—	7	1	no	—
1377	C₂×C₂²⋊C₄	—	7	8	no	—
1378	C₂×C₂²⋊C₄	—	7	8	no	—
1379	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1380	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1381	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1382	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1383	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1384	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1385	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1386	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1387	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1388	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1389	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1390	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1391	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1392	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1393	C₂×C₂²⋊C₄	C₂²×D₇	1	8	yes	complemented
1394	C₂×C₄²	—	7	1	no	—
1395	C₂×C₄²	—	7	1	no	—
1396	C₂×C₄²	—	7	1	no	—
1397	C₂×C₄²	—	7	1	no	—
1398	C₂×C₄²	—	7	1	no	—
1399	C₂×C₄²	—	7	1	no	—
1400	C₂×C₄²	—	7	1	no	—
1401	C₂×C₄²	—	7	1	no	—
1402	C₂×C₄²	—	7	1	no	—
1403	C₂×C₄²	—	7	1	no	—
1404	C₂×C₄²	—	7	1	no	—
1405	C₂×C₄²	—	7	1	no	—
1406	C₂×C₄²	—	7	1	no	—
1407	C₂×C₄²	—	7	1	no	—
1408	C₂×C₄²	—	7	1	no	—
1409	C₂×C₄²	—	7	1	no	—
1410	C₂×C₄²	—	7	8	no	—
1411	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1412	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1413	C₂²×C₇	—	2	2	no	—
1414	C₂²×C₇	—	2	2	no	—
1415	C₂²×C₇	—	2	2	no	—
1416	C₂²×C₇	—	2	2	no	—
1417	C₂²×C₇	—	2	2	no	—
1418	C₂²×C₇	—	2	2	no	—
1419	C₂²×C₇	—	2	2	no	—
1420	C₂²×C₇	—	2	2	no	—
1421	C₂²×C₇	—	2	2	no	—
1422	C₂²×C₇	—	2	2	no	—
1423	C₂²×C₇	—	2	2	no	—
1424	C₂²×C₇	—	2	2	no	—
1425	C₂²×C₇	—	2	2	no	—
1426	C₂²×C₇	—	2	2	no	—
1427	C₂²×C₇	—	2	2	no	—
1428	C₂²×C₇	—	4	4	no	—
1429	C₂²×C₇	—	4	4	no	—
1430	C₂²×C₇	—	4	4	no	—
1431	C₂²×C₇	—	4	4	no	—
1432	C₂²×C₇	—	4	4	no	—
1433	C₂²×C₇	—	8	8	no	—
1434	C₂²×C₇	#585	1	2	yes	—
1435	C₂²×C₇	#585	1	2	yes	—
1436	C₂²×C₇	#585	1	2	yes	—
1437	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1438	C₂×D₇	—	2	2	no	—
1439	C₂×D₇	—	2	2	no	—
1440	C₂×D₇	—	2	2	no	—
1441	C₂×D₇	—	2	2	no	—
1442	C₂×D₇	—	2	2	no	—
1443	C₂×D₇	—	2	2	no	—
1444	C₂×D₇	—	4	4	no	—
1445	C₂×D₇	—	4	4	no	—
1446	C₂×D₇	—	8	8	no	—
1447	C₄×C₇	—	2	2	no	—
1448	C₄×C₇	—	2	2	no	—
1449	C₄×C₇	—	2	2	no	—
1450	C₄×C₇	—	2	2	no	—
1451	C₄×C₇	—	2	2	no	—
1452	C₄×C₇	—	2	2	no	—
1453	C₄×C₇	—	2	2	no	—
1454	C₄×C₇	—	2	2	no	—
1455	C₄×C₇	—	2	2	no	—
1456	C₄×C₇	—	2	2	no	—
1457	Dic₇	—	2	2	no	—
1458	Dic₇	—	2	2	no	—
1459	Dic₇	—	2	2	no	—
1460	Dic₇	—	2	2	no	—
1461	Dic₇	—	2	2	no	—
1462	Dic₇	—	2	2	no	—
1463	Dic₇	—	2	2	no	—
1464	Dic₇	—	2	2	no	—
1465	Dic₇	—	2	2	no	—
1466	Dic₇	—	2	2	no	—
1467	Dic₇	—	2	2	no	—
1468	Dic₇	—	2	2	no	—
1469	Dic₇	—	2	2	no	—
1470	Dic₇	—	2	2	no	—
1471	C₂⁴	—	4	2	no	—
1472	C₂⁴	—	4	2	no	—
1473	C₂⁴	—	4	2	no	—
1474	C₂⁴	—	7	1	no	—
1475	C₂⁴	—	7	1	no	—
1476	C₂⁴	—	7	4	no	—
1477	C₂⁴	—	28	2	no	—
1478	C₂⁴	—	28	2	no	—
1479	C₂⁴	—	28	2	no	—
1480	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1481	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1482	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1483	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1484	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1485	C₂⁴	C₂³×D₇	1	4	yes	—
1486	C₂×Q₈	—	4	2	no	—
1487	C₂×Q₈	—	7	4	no	—
1488	C₂×Q₈	—	7	4	no	—
1489	C₂×Q₈	—	7	4	no	—
1490	C₂×Q₈	—	7	4	no	—
1491	C₂×Q₈	—	7	4	no	—
1492	C₂×Q₈	—	7	4	no	—
1493	C₂×Q₈	—	7	4	no	—
1494	C₂×Q₈	—	7	4	no	—
1495	C₂×Q₈	—	28	2	no	—
1496	C₂×Q₈	—	28	2	no	—
1497	C₂×Q₈	—	28	2	no	—
1498	C₂×Q₈	—	28	2	no	—
1499	C₂×Q₈	—	28	2	no	—
1500	C₂×Q₈	—	28	2	no	—
1501	C₂×Q₈	—	28	2	no	—
1502	C₂×Q₈	—	28	2	no	—
1503	C₂×Q₈	C₂³×D₇	1	4	yes	—
1504	C₂×D₄	—	4	2	no	—
1505	C₂×D₄	—	4	2	no	—
1506	C₂×D₄	—	4	2	no	—
1507	C₂×D₄	—	4	2	no	—
1508	C₂×D₄	—	4	2	no	—
1509	C₂×D₄	—	4	2	no	—
1510	C₂×D₄	—	4	2	no	—
1511	C₂×D₄	—	7	4	no	—
1512	C₂×D₄	—	7	4	no	—
1513	C₂×D₄	—	7	4	no	—
1514	C₂×D₄	—	7	4	no	—
1515	C₂×D₄	—	7	4	no	—
1516	C₂×D₄	—	7	4	no	—
1517	C₂×D₄	—	7	4	no	—
1518	C₂×D₄	—	7	4	no	—
1519	C₂×D₄	—	28	2	no	—
1520	C₂×D₄	—	28	2	no	—
1521	C₂×D₄	—	28	2	no	—
1522	C₂×D₄	—	28	2	no	—
1523	C₂×D₄	—	28	2	no	—
1524	C₂×D₄	—	28	2	no	—
1525	C₂×D₄	—	28	2	no	—
1526	C₂×D₄	—	28	2	no	—
1527	C₂×D₄	C₂³×D₇	1	4	yes	—
1528	C₂×D₄	C₂³×D₇	1	4	yes	—
1529	C₂×D₄	C₂³×D₇	1	4	yes	—
1530	C₂×D₄	C₂³×D₇	1	4	yes	—
1531	C₂×D₄	C₂³×D₇	1	4	yes	—
1532	C₂×D₄	C₂³×D₇	1	4	yes	—
1533	C₂×D₄	C₂³×D₇	1	4	yes	—
1534	C₂²×C₄	—	4	2	no	—
1535	C₂²×C₄	—	4	2	no	—
1536	C₂²×C₄	—	4	2	no	—
1537	C₂²×C₄	—	4	2	no	—
1538	C₂²×C₄	—	7	1	no	—
1539	C₂²×C₄	—	7	1	no	—
1540	C₂²×C₄	—	7	1	no	—
1541	C₂²×C₄	—	7	1	no	—
1542	C₂²×C₄	—	7	1	no	—
1543	C₂²×C₄	—	7	1	no	—
1544	C₂²×C₄	—	7	1	no	—
1545	C₂²×C₄	—	7	1	no	—
1546	C₂²×C₄	—	7	1	no	—
1547	C₂²×C₄	—	7	1	no	—
1548	C₂²×C₄	—	7	1	no	—
1549	C₂²×C₄	—	7	1	no	—
1550	C₂²×C₄	—	7	1	no	—
1551	C₂²×C₄	—	7	1	no	—
1552	C₂²×C₄	—	7	4	no	—
1553	C₂²×C₄	—	7	4	no	—
1554	C₂²×C₄	—	7	4	no	—
1555	C₂²×C₄	—	7	4	no	—
1556	C₂²×C₄	—	7	4	no	—
1557	C₂²×C₄	—	7	4	no	—
1558	C₂²×C₄	—	7	4	no	—
1559	C₂²×C₄	—	7	4	no	—
1560	C₂²×C₄	—	7	4	no	—
1561	C₂²×C₄	—	7	4	no	—
1562	C₂²×C₄	—	7	4	no	—
1563	C₂²×C₄	—	28	2	no	—
1564	C₂²×C₄	—	28	2	no	—
1565	C₂²×C₄	—	28	2	no	—
1566	C₂²×C₄	—	28	2	no	—
1567	C₂²×C₄	—	28	2	no	—
1568	C₂²×C₄	—	28	2	no	—
1569	C₂²×C₄	—	28	2	no	—
1570	C₂²×C₄	—	28	2	no	—
1571	C₂²×C₄	—	28	2	no	—
1572	C₂²×C₄	—	28	2	no	—
1573	C₂²×C₄	—	28	2	no	—
1574	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1575	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1576	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1577	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1578	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1579	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1580	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1581	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1582	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1583	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1584	C₂²×C₄	C₂³×D₇	1	4	yes	—
1585	C₂²×C₄	C₂³×D₇	1	4	yes	—
1586	C₂²×C₄	C₂³×D₇	1	4	yes	—
1587	C₂²×C₄	C₂³×D₇	1	4	yes	—
1588	C₄⋊C₄	—	7	4	no	—
1589	C₄⋊C₄	—	7	4	no	—
1590	C₄⋊C₄	—	7	4	no	—
1591	C₄⋊C₄	—	7	4	no	—
1592	C₄⋊C₄	—	7	4	no	—
1593	C₄⋊C₄	—	7	4	no	—
1594	C₄⋊C₄	—	7	4	no	—
1595	C₄⋊C₄	—	7	4	no	—
1596	C₄⋊C₄	—	7	4	no	—
1597	C₄⋊C₄	—	7	4	no	—
1598	C₄⋊C₄	—	7	4	no	—
1599	C₄⋊C₄	—	7	4	no	—
1600	C₄⋊C₄	—	7	4	no	—
1601	C₄⋊C₄	—	7	4	no	—
1602	C₄⋊C₄	—	7	4	no	—
1603	C₄⋊C₄	—	7	4	no	—
1604	C₄⋊C₄	—	7	4	no	—
1605	C₄⋊C₄	—	7	4	no	—
1606	C₄⋊C₄	—	7	4	no	—
1607	C₄⋊C₄	—	7	4	no	—
1608	C₄⋊C₄	—	7	4	no	—
1609	C₄⋊C₄	—	7	4	no	—
1610	C₄⋊C₄	—	7	4	no	—
1611	C₄⋊C₄	—	7	4	no	—
1612	C₄⋊C₄	—	7	4	no	—
1613	C₄⋊C₄	—	7	4	no	—
1614	C₄⋊C₄	—	7	4	no	—
1615	C₄⋊C₄	—	7	4	no	—
1616	C₄⋊C₄	—	7	4	no	—
1617	C₄⋊C₄	—	7	4	no	—
1618	C₄⋊C₄	—	7	4	no	—
1619	C₄⋊C₄	—	7	4	no	—
1620	C₄⋊C₄	—	7	4	no	—
1621	C₄⋊C₄	—	7	4	no	—
1622	C₄⋊C₄	—	7	4	no	—
1623	C₄⋊C₄	—	7	4	no	—
1624	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1625	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1626	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1627	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1628	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1629	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1630	C₂²⋊C₄	—	7	4	no	—
1631	C₂²⋊C₄	—	7	4	no	—
1632	C₂²⋊C₄	—	7	4	no	—
1633	C₂²⋊C₄	—	7	4	no	—
1634	C₂²⋊C₄	—	7	4	no	—
1635	C₂²⋊C₄	—	7	4	no	—
1636	C₂²⋊C₄	—	7	4	no	—
1637	C₂²⋊C₄	—	7	4	no	—
1638	C₂²⋊C₄	—	7	4	no	—
1639	C₂²⋊C₄	—	7	4	no	—
1640	C₂²⋊C₄	—	7	4	no	—
1641	C₂²⋊C₄	—	7	4	no	—
1642	C₂²⋊C₄	—	7	4	no	—
1643	C₂²⋊C₄	—	7	4	no	—
1644	C₂²⋊C₄	—	7	4	no	—
1645	C₂²⋊C₄	—	7	4	no	—
1646	C₂²⋊C₄	—	7	4	no	—
1647	C₂²⋊C₄	—	7	4	no	—
1648	C₂²⋊C₄	—	7	4	no	—
1649	C₂²⋊C₄	—	7	4	no	—
1650	C₂²⋊C₄	—	7	4	no	—
1651	C₂²⋊C₄	—	7	4	no	—
1652	C₂²⋊C₄	—	7	4	no	—
1653	C₂²⋊C₄	—	7	4	no	—
1654	C₂²⋊C₄	—	7	4	no	—
1655	C₂²⋊C₄	—	7	4	no	—
1656	C₂²⋊C₄	—	7	4	no	—
1657	C₂²⋊C₄	—	7	4	no	—
1658	C₂²⋊C₄	—	7	4	no	—
1659	C₂²⋊C₄	—	7	4	no	—
1660	C₂²⋊C₄	—	7	4	no	—
1661	C₂²⋊C₄	—	7	4	no	—
1662	C₂²⋊C₄	—	7	4	no	—
1663	C₂²⋊C₄	—	7	4	no	—
1664	C₂²⋊C₄	—	7	4	no	—
1665	C₂²⋊C₄	—	7	4	no	—
1666	C₂²⋊C₄	—	7	4	no	—
1667	C₂²⋊C₄	—	7	4	no	—
1668	C₂²⋊C₄	—	7	4	no	—
1669	C₂²⋊C₄	—	7	4	no	—
1670	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1671	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1672	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1673	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1674	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1675	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1676	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1677	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1678	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1679	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1680	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1681	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1682	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1683	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1684	C₄²	—	7	4	no	—
1685	C₄²	—	7	4	no	—
1686	C₄²	—	7	4	no	—
1687	C₄²	—	7	4	no	—
1688	C₄²	—	7	4	no	—
1689	C₄²	—	7	4	no	—
1690	C₄²	—	7	4	no	—
1691	C₄²	—	7	4	no	—
1692	C₄²	—	7	4	no	—
1693	C₄²	—	7	4	no	—
1694	C₄²	—	7	4	no	—
1695	C₄²	—	7	4	no	—
1696	C₄²	—	7	4	no	—
1697	C₄²	—	7	4	no	—
1698	C₄²	—	7	4	no	—
1699	C₄²	—	7	4	no	—
1700	C₄²	C₂³×D₇	1	4	yes	—
1701	C₄²	C₂³×D₇	1	4	yes	—
1702	C₂×C₇	—	4	2	no	—
1703	C₂×C₇	—	4	2	no	—
1704	C₂×C₇	—	4	2	no	—
1705	C₂×C₇	—	4	2	no	—
1706	C₂×C₇	—	4	2	no	—
1707	C₂×C₇	#3568	1	4	yes	complemented
1708	C₂×C₇	C₂×#585	1	1	yes	characteristic
1709	C₂×C₇	C₂×#585	1	1	yes	characteristic
1710	C₂×C₇	C₂×#585	1	1	yes	characteristic
1711	D₇	—	4	2	no	—
1712	D₇	—	4	2	no	—
1713	C₂³	—	2	2	no	—
1714	C₂³	—	2	2	no	—
1715	C₂³	—	2	2	no	—
1716	C₂³	—	2	2	no	—
1717	C₂³	—	2	2	no	—
1718	C₂³	—	2	2	no	—
1719	C₂³	—	2	2	no	—
1720	C₂³	—	2	2	no	—
1721	C₂³	—	2	2	no	—
1722	C₂³	—	2	2	no	—
1723	C₂³	—	2	2	no	—
1724	C₂³	—	2	2	no	—
1725	C₂³	—	2	2	no	—
1726	C₂³	—	2	2	no	—
1727	C₂³	—	2	2	no	—
1728	C₂³	—	4	4	no	—
1729	C₂³	—	4	4	no	—
1730	C₂³	—	4	4	no	—
1731	C₂³	—	7	2	no	—
1732	C₂³	—	7	2	no	—
1733	C₂³	—	8	8	no	—
1734	C₂³	—	14	2	no	—
1735	C₂³	—	14	2	no	—
1736	C₂³	—	14	2	no	—
1737	C₂³	—	14	2	no	—
1738	C₂³	—	14	2	no	—
1739	C₂³	—	14	2	no	—
1740	C₂³	—	28	4	no	—
1741	C₂³	—	28	4	no	—
1742	C₂³	—	28	4	no	—
1743	C₂³	—	56	8	no	—
1744	C₂³	C₂⁴×D₇	1	2	yes	—
1745	C₂³	C₂⁴×D₇	1	2	yes	—
1746	C₂³	C₂⁴×D₇	1	2	yes	—
1747	C₂³	C₂⁴×D₇	1	2	yes	—
1748	C₂³	C₂⁴×D₇	1	2	yes	—
1749	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1750	Q₈	—	4	4	no	—
1751	Q₈	—	28	4	no	—
1752	Q₈	—	28	4	no	—
1753	Q₈	—	28	4	no	—
1754	Q₈	—	28	4	no	—
1755	Q₈	—	28	4	no	—
1756	Q₈	—	28	4	no	—
1757	Q₈	—	28	4	no	—
1758	Q₈	—	28	4	no	—
1759	D₄	—	4	4	no	—
1760	D₄	—	4	4	no	—
1761	D₄	—	4	4	no	—
1762	D₄	—	4	4	no	—
1763	D₄	—	4	4	no	—
1764	D₄	—	4	4	no	—
1765	D₄	—	4	4	no	—
1766	D₄	—	28	4	no	—
1767	D₄	—	28	4	no	—
1768	D₄	—	28	4	no	—
1769	D₄	—	28	4	no	—
1770	D₄	—	28	4	no	—
1771	D₄	—	28	4	no	—
1772	D₄	—	28	4	no	—
1773	D₄	—	28	4	no	—
1774	C₂×C₄	—	2	2	no	—
1775	C₂×C₄	—	2	2	no	—
1776	C₂×C₄	—	2	2	no	—
1777	C₂×C₄	—	2	2	no	—
1778	C₂×C₄	—	2	2	no	—
1779	C₂×C₄	—	2	2	no	—
1780	C₂×C₄	—	2	2	no	—
1781	C₂×C₄	—	2	2	no	—
1782	C₂×C₄	—	2	2	no	—
1783	C₂×C₄	—	2	2	no	—
1784	C₂×C₄	—	4	4	no	—
1785	C₂×C₄	—	4	4	no	—
1786	C₂×C₄	—	4	4	no	—
1787	C₂×C₄	—	4	4	no	—
1788	C₂×C₄	—	7	2	no	—
1789	C₂×C₄	—	7	2	no	—
1790	C₂×C₄	—	7	2	no	—
1791	C₂×C₄	—	7	2	no	—
1792	C₂×C₄	—	7	2	no	—
1793	C₂×C₄	—	7	2	no	—
1794	C₂×C₄	—	7	2	no	—
1795	C₂×C₄	—	7	2	no	—
1796	C₂×C₄	—	7	2	no	—
1797	C₂×C₄	—	7	2	no	—
1798	C₂×C₄	—	7	2	no	—
1799	C₂×C₄	—	7	2	no	—
1800	C₂×C₄	—	7	2	no	—
1801	C₂×C₄	—	7	2	no	—
1802	C₂×C₄	—	14	2	no	—
1803	C₂×C₄	—	14	2	no	—
1804	C₂×C₄	—	14	2	no	—
1805	C₂×C₄	—	14	2	no	—
1806	C₂×C₄	—	14	2	no	—
1807	C₂×C₄	—	14	2	no	—
1808	C₂×C₄	—	14	2	no	—
1809	C₂×C₄	—	14	2	no	—
1810	C₂×C₄	—	14	2	no	—
1811	C₂×C₄	—	14	2	no	—
1812	C₂×C₄	—	14	2	no	—
1813	C₂×C₄	—	14	2	no	—
1814	C₂×C₄	—	14	2	no	—
1815	C₂×C₄	—	14	2	no	—
1816	C₂×C₄	—	28	4	no	—
1817	C₂×C₄	—	28	4	no	—
1818	C₂×C₄	—	28	4	no	—
1819	C₂×C₄	—	28	4	no	—
1820	C₂×C₄	—	28	4	no	—
1821	C₂×C₄	—	28	4	no	—
1822	C₂×C₄	—	28	4	no	—
1823	C₂×C₄	—	28	4	no	—
1824	C₂×C₄	—	28	4	no	—
1825	C₂×C₄	—	28	4	no	—
1826	C₂×C₄	—	28	4	no	—
1827	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1828	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1829	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1830	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1831	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1832	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1833	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1834	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1835	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1836	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1837	C₇	C₂×#3568	1	1	yes	characteristic, complemented, Sylow
1838	C₂²	—	2	2	no	—
1839	C₂²	—	2	2	no	—
1840	C₂²	—	2	2	no	—
1841	C₂²	—	2	2	no	—
1842	C₂²	—	2	2	no	—
1843	C₂²	—	2	2	no	—
1844	C₂²	—	2	2	no	—
1845	C₂²	—	2	2	no	—
1846	C₂²	—	2	2	no	—
1847	C₂²	—	2	2	no	—
1848	C₂²	—	2	2	no	—
1849	C₂²	—	2	2	no	—
1850	C₂²	—	2	2	no	—
1851	C₂²	—	2	2	no	—
1852	C₂²	—	2	2	no	—
1853	C₂²	—	4	4	no	—
1854	C₂²	—	4	4	no	—
1855	C₂²	—	4	4	no	—
1856	C₂²	—	4	4	no	—
1857	C₂²	—	4	4	no	—
1858	C₂²	—	8	8	no	—
1859	C₂²	—	14	2	no	—
1860	C₂²	—	14	2	no	—
1861	C₂²	—	14	2	no	—
1862	C₂²	—	14	2	no	—
1863	C₂²	—	14	2	no	—
1864	C₂²	—	14	2	no	—
1865	C₂²	—	28	4	no	—
1866	C₂²	—	28	4	no	—
1867	C₂²	—	56	8	no	—
1868	C₂²	#90616	1	2	yes	—
1869	C₂²	#90618	1	2	yes	—
1870	C₂²	#90618	1	2	yes	—
1871	C₂²	C₂⁵×D₇	1	1	yes	characteristic
1872	C₄	—	2	2	no	—
1873	C₄	—	2	2	no	—
1874	C₄	—	2	2	no	—
1875	C₄	—	2	2	no	—
1876	C₄	—	2	2	no	—
1877	C₄	—	2	2	no	—
1878	C₄	—	2	2	no	—
1879	C₄	—	2	2	no	—
1880	C₄	—	2	2	no	—
1881	C₄	—	2	2	no	—
1882	C₄	—	14	2	no	—
1883	C₄	—	14	2	no	—
1884	C₄	—	14	2	no	—
1885	C₄	—	14	2	no	—
1886	C₄	—	14	2	no	—
1887	C₄	—	14	2	no	—
1888	C₄	—	14	2	no	—
1889	C₄	—	14	2	no	—
1890	C₄	—	14	2	no	—
1891	C₄	—	14	2	no	—
1892	C₄	—	14	2	no	—
1893	C₄	—	14	2	no	—
1894	C₄	—	14	2	no	—
1895	C₄	—	14	2	no	—
1896	C₂	—	4	2	no	—
1897	C₂	—	4	2	no	—
1898	C₂	—	4	2	no	—
1899	C₂	—	4	2	no	—
1900	C₂	—	4	2	no	—
1901	C₂	—	28	2	no	—
1902	C₂	—	28	2	no	—
1903	C₂	#11743480	1	4	yes	direct product factor
1904	C₂	C₂×#90616	1	1	yes	characteristic
1905	C₂	C₂×#90618	1	1	yes	characteristic
1906	C₂	C₂×#90618	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇
commutator, cosocle	C₂²×C₇	C₂⁶
Frattini	C₂²	C₂⁵×D₇
Fitting	C₂×C₇×#538	C₂
socle	C₂³×C₇	C₂⁵
hypercenter	C₂×#538	D₇
hypocenter	C₇	C₂×#3568
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
1. C₂×C₇×#538	C₂	semidirect
2. #11743480	C₂	direct (N × H)
3. C₂×#90403	C₂	semidirect
4. C₂×#90393	C₂	semidirect
5. C₂×#90393	C₂	semidirect
6. C₂×#90393	C₂	semidirect
7. C₂×#90370	C₂	semidirect
8. C₂×#90373	C₂	semidirect
9. C₂×#90362	C₂	semidirect
10. C₂×#90360	C₂	semidirect
11. C₂×#90349	C₂	semidirect
12. C₂×#90342	C₂	semidirect
13. C₂×#90353	C₂	semidirect
14. C₂×#90340	C₂	semidirect
15. C₂×#90337	C₂	semidirect
16. C₂×#90332	C₂	semidirect
17. C₂×#90304	C₂	semidirect
18. C₂×#90304	C₂	semidirect
19. C₂×#90308	C₂	semidirect
20. C₂×#90294	C₂	semidirect
21. C₂×#90294	C₂	semidirect
22. C₂×#90291	C₂	semidirect
23. C₂×#90285	C₂	semidirect
24. C₂×#90278	C₂	semidirect
25. C₂×#90284	C₂	semidirect
26. C₂×#90284	C₂	semidirect
27. C₂×#90247	C₂	semidirect
28. C₂×#90252	C₂	semidirect
29. C₂×#90233	C₂	semidirect
30. C₂×#90229	C₂	semidirect
31. C₂×#90186	C₂	semidirect
32. C₂×#90186	C₂	semidirect
33. C₇×#538	C₂²	semidirect
34. C₂×C₇×#126	C₂²	semidirect
35. C₂×C₇×#126	C₂²	semidirect
37. C₂×C₇×#124	C₂²	semidirect
39. C₂×C₇×#123	C₂²	semidirect
40. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
45. C₂×C₇×#120	C₂²	semidirect
47. C₂×C₄×C₇×D₄	C₂²	semidirect
48. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
51. C₂²×C₂²⋊Dic₇	C₂²	semidirect
52. C₂²×C₂²⋊Dic₇	C₂²	semidirect
53. C₂×#6509	C₂²	semidirect
54. C₂×#6509	C₂²	semidirect
55. C₂×Q₈×Dic₇	C₂²	semidirect
56. C₂×#6507	C₂²	semidirect
66. C₂×#6500	C₂²	semidirect
71. C₂×#6499	C₂²	semidirect
72. C₂×#6499	C₂²	semidirect
73. C₂×#6499	C₂²	semidirect
77. C₂×#6498	C₂²	semidirect
78. C₂×#6498	C₂²	semidirect
79. C₂×#6498	C₂²	semidirect
82. C₂×D₄×Dic₇	C₂²	semidirect
83. C₂×D₄×Dic₇	C₂²	semidirect
84. C₂×D₄×Dic₇	C₂²	semidirect
87. C₂×#6492	C₂²	semidirect
90. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
91. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
92. C₂×#6489	C₂²	semidirect
93. C₂×#6489	C₂²	semidirect
94. C₂×#6489	C₂²	semidirect
95. C₂×#6487	C₂²	semidirect
96. C₂×#6487	C₂²	semidirect
97. C₂×#6487	C₂²	semidirect
98. C₂×#6487	C₂²	semidirect
99. C₂×#6487	C₂²	semidirect
100. C₂²×C₄×Dic₇	C₂²	semidirect
101. #90403	C₂²	semidirect
102. #90393	C₂²	semidirect
103. #90393	C₂²	semidirect
104. #90393	C₂²	semidirect
105. #90373	C₂²	semidirect
106. #90370	C₂²	semidirect
107. #90362	C₂²	semidirect
108. #90360	C₂²	semidirect
109. #90353	C₂²	semidirect
110. #90349	C₂²	semidirect
111. #90342	C₂²	semidirect
112. #90340	C₂²	semidirect
113. #90337	C₂²	semidirect
114. #90332	C₂²	semidirect
115. #90308	C₂²	semidirect
116. #90304	C₂²	semidirect
117. #90304	C₂²	semidirect
118. #90294	C₂²	semidirect
119. #90294	C₂²	semidirect
120. #90291	C₂²	semidirect
121. #90285	C₂²	semidirect
122. #90284	C₂²	semidirect
123. #90284	C₂²	semidirect
124. #90278	C₂²	semidirect
125. #90252	C₂²	semidirect
126. #90247	C₂²	semidirect
127. #90233	C₂²	semidirect
128. #90229	C₂²	semidirect
129. C₂×#6461	C₂²	semidirect
130. C₂×#6461	C₂²	semidirect
131. C₂×#6461	C₂²	semidirect
132. C₂×#6461	C₂²	semidirect
133. C₂×#6461	C₂²	semidirect
134. C₂×#6461	C₂²	semidirect
135. C₂×#6461	C₂²	semidirect
136. C₂×#6460	C₂²	semidirect
137. C₂×#6459	C₂²	semidirect
138. C₂×#6459	C₂²	semidirect
139. C₂×#6459	C₂²	semidirect
140. C₂×#6455	C₂²	semidirect
141. C₂×#6453	C₂²	semidirect
142. C₂×#6452	C₂²	semidirect
143. C₂×#6452	C₂²	semidirect
144. C₂×#6451	C₂²	semidirect
145. C₂×#6451	C₂²	semidirect
146. C₂×#6451	C₂²	semidirect
147. C₂×#6451	C₂²	semidirect
148. C₂×#6450	C₂²	semidirect
149. C₂×#6450	C₂²	semidirect
150. C₂×#6450	C₂²	semidirect
151. C₂×#6450	C₂²	semidirect
152. C₂×#6450	C₂²	semidirect
153. #90186	C₂²	semidirect
154. #90186	C₂²	semidirect
157. C₂×#6449	C₂²	semidirect
168. C₂×#6448	C₂²	semidirect
169. C₂×#6448	C₂²	semidirect
178. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
179. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
180. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
181. C₂×#6442	C₂²	semidirect
182. C₂×#6442	C₂²	semidirect
183. C₂×#6442	C₂²	semidirect
184. C₂×#6442	C₂²	semidirect
185. C₂×#6442	C₂²	semidirect
186. C₂×#6442	C₂²	semidirect
187. C₂×#6442	C₂²	semidirect
188. C₂×#6442	C₂²	semidirect
189. C₂×#6442	C₂²	semidirect
190. C₂×#6442	C₂²	semidirect
191. C₂×#6442	C₂²	semidirect
192. C₂×#6442	C₂²	semidirect
193. C₂×#6442	C₂²	semidirect
194. C₂×#6442	C₂²	semidirect
195. C₂×#6442	C₂²	semidirect
196. C₂×#6442	C₂²	semidirect
197. C₂×#6441	C₂²	semidirect
198. C₂×#6441	C₂²	semidirect
199. C₂×#6441	C₂²	semidirect
200. C₂×#6441	C₂²	semidirect
201. C₂×#6441	C₂²	semidirect
202. C₂×#6441	C₂²	semidirect
203. C₂×#6441	C₂²	semidirect
204. C₂×#6441	C₂²	semidirect
205. C₂×#6441	C₂²	semidirect
206. C₂×#6440	C₂²	semidirect
207. C₂×#6440	C₂²	semidirect
208. C₂×#6440	C₂²	semidirect
209. C₂×#6440	C₂²	semidirect
210. C₂×#6440	C₂²	semidirect
211. C₂×#6439	C₂²	semidirect
212. C₂×#6435	C₂²	semidirect
213. C₂×#6435	C₂²	semidirect
214. C₂×#6435	C₂²	semidirect
215. C₂×#6432	C₂²	semidirect
216. C₂×C₄×Dic₁₄	C₂²	semidirect
217. C₂×C₄×Dic₁₄	C₂²	semidirect
218. C₂×C₄×Dic₁₄	C₂²	semidirect
261. C₇×#126	C₂³	semidirect
262. C₇×#126	C₂³	semidirect
264. C₇×#124	C₂³	semidirect
266. C₇×#123	C₂³	semidirect
267. C₇×C₂²⋊Q₈	C₂³	semidirect
272. C₇×#120	C₂³	semidirect
274. C₄×C₇×D₄	C₂³	semidirect
295. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
324. C₂×C₂²⋊Dic₇	C₂³	semidirect
325. C₂×C₂²⋊Dic₇	C₂³	semidirect
326. #6509	C₂³	semidirect
327. #6509	C₂³	semidirect
328. Q₈×Dic₇	C₂³	semidirect
329. #6507	C₂³	semidirect
339. #6500	C₂³	semidirect
344. #6499	C₂³	semidirect
345. #6499	C₂³	semidirect
346. #6499	C₂³	semidirect
350. #6498	C₂³	semidirect
351. #6498	C₂³	semidirect
352. #6498	C₂³	semidirect
355. D₄×Dic₇	C₂³	semidirect
356. D₄×Dic₇	C₂³	semidirect
357. D₄×Dic₇	C₂³	semidirect
360. #6492	C₂³	semidirect
363. C₄×C₂²⋊D₇	C₂³	semidirect
380. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
381. #6489	C₂³	semidirect
382. #6489	C₂³	semidirect
383. #6489	C₂³	semidirect
396. #6487	C₂³	semidirect
397. #6487	C₂³	semidirect
398. #6487	C₂³	semidirect
399. #6487	C₂³	semidirect
400. #6487	C₂³	semidirect
441. C₂×C₄×Dic₇	C₂³	semidirect
442. #6461	C₂³	semidirect
443. #6461	C₂³	semidirect
444. #6461	C₂³	semidirect
445. #6461	C₂³	semidirect
446. #6461	C₂³	semidirect
447. #6461	C₂³	semidirect
448. #6461	C₂³	semidirect
449. #6460	C₂³	semidirect
450. #6459	C₂³	semidirect
451. #6459	C₂³	semidirect
452. #6459	C₂³	semidirect
453. #6455	C₂³	semidirect
454. #6453	C₂³	semidirect
455. #6452	C₂³	semidirect
456. #6452	C₂³	semidirect
457. #6451	C₂³	semidirect
458. #6451	C₂³	semidirect
459. #6451	C₂³	semidirect
460. #6451	C₂³	semidirect
461. #6450	C₂³	semidirect
462. #6450	C₂³	semidirect
463. #6450	C₂³	semidirect
464. #6450	C₂³	semidirect
465. #6450	C₂³	semidirect
468. #6449	C₂³	semidirect
479. #6448	C₂³	semidirect
480. #6448	C₂³	semidirect
489. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
490. D₇×C₂²⋊C₄	C₂³	semidirect
491. D₇×C₂²⋊C₄	C₂³	semidirect
492. #6442	C₂³	semidirect
493. #6442	C₂³	semidirect
494. #6442	C₂³	semidirect
495. #6442	C₂³	semidirect
496. #6442	C₂³	semidirect
497. #6442	C₂³	semidirect
498. #6442	C₂³	semidirect
499. #6442	C₂³	semidirect
500. #6442	C₂³	semidirect
501. #6442	C₂³	semidirect
502. #6442	C₂³	semidirect
503. #6442	C₂³	semidirect
504. #6442	C₂³	semidirect
505. #6442	C₂³	semidirect
506. #6442	C₂³	semidirect
507. #6442	C₂³	semidirect
508. #6441	C₂³	semidirect
509. #6441	C₂³	semidirect
510. #6441	C₂³	semidirect
511. #6441	C₂³	semidirect
512. #6441	C₂³	semidirect
513. #6441	C₂³	semidirect
514. #6441	C₂³	semidirect
515. #6441	C₂³	semidirect
516. #6441	C₂³	semidirect
517. #6440	C₂³	semidirect
518. #6440	C₂³	semidirect
519. #6440	C₂³	semidirect
520. #6440	C₂³	semidirect
521. #6440	C₂³	semidirect
522. #6439	C₂³	semidirect
523. #6435	C₂³	semidirect
524. #6435	C₂³	semidirect
525. #6435	C₂³	semidirect
526. #6432	C₂³	semidirect
527. C₄×Dic₁₄	C₂³	semidirect
528. C₄×Dic₁₄	C₂³	semidirect
529. C₄×Dic₁₄	C₂³	semidirect
558. C₂×#538	D₇	semidirect
820. #538	C₂×D₇	semidirect
854. C₂×#126	C₂×D₇	semidirect
855. C₂×#126	C₂×D₇	semidirect
879. C₂×#124	C₂×D₇	semidirect
897. C₂×#123	C₂×D₇	semidirect
918. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
935. C₂×#120	C₂×D₇	semidirect
959. C₂×C₄×D₄	C₂×D₇	semidirect
977. C₂²×C₂²⋊C₄	C₂×D₇	semidirect
1174. #126	C₂²×D₇	semidirect
1175. #126	C₂²×D₇	semidirect
1199. #124	C₂²×D₇	semidirect
1217. #123	C₂²×D₇	semidirect
1238. C₂²⋊Q₈	C₂²×D₇	semidirect
1255. #120	C₂²×D₇	semidirect
1279. C₄×D₄	C₂²×D₇	semidirect
1393. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1707. C₂×C₇	#3568	semidirect
1837. C₇	C₂×#3568	semidirect
1903. C₂	#11743480	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₇×#538	2
#11743480	2
C₂×#90403	2
C₂×#90393	2
C₂×#90370	2
C₂×#90373	2
C₂×#90362	2
C₂×#90360	2
C₂×#90349	2
C₂×#90342	2
C₂×#90353	2
C₂×#90340	2
C₂×#90337	2
C₂×#90332	2
C₂×#90304	2
C₂×#90308	2
C₂×#90294	2
C₂×#90291	2
C₂×#90285	2
C₂×#90278	2
C₂×#90284	2
C₂×#90247	2
C₂×#90252	2
C₂×#90233	2
C₂×#90229	2
C₂×#90186	2
C₂×#3568	7

Subgroups — C2×#11743480 #14261223

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11743480 #14261223