Subgroups — C₂×#11744081 #14261189

Order 1792.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	#11744081	C₂	1	32	yes	maximal, direct product factor
3	C₂×#90426	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#90420	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90399	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#90399	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#90396	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#90398	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×D₇×#126	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#90403	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#90401	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#90392	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#90370	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#90369	C₂	1	1	yes	maximal, characteristic
15	C₂×#90363	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#90360	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#90325	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#90329	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#90337	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#90327	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#90270	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#90272	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#90274	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#90274	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#90269	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#90259	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#90247	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#90255	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#90218	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#90219	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#90222	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#90209	C₂	1	1	yes	maximal, characteristic, complemented
33	C₇×#556	C₂²	1	16	yes	complemented
34	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₇×#126	C₂²	1	1	yes	characteristic
36	C₂×C₇×#126	C₂²	1	1	yes	characteristic
37	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₇×#124	C₂²	1	1	yes	characteristic
40	C₂×C₇×#124	C₂²	1	1	yes	characteristic
41	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₇×#117	C₂²	1	1	yes	characteristic
48	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
49	C₂×#6510	C₂²	1	1	yes	characteristic
50	C₂×#6509	C₂²	1	1	yes	characteristic
51	C₂×#6509	C₂²	1	1	yes	characteristic
52	C₂×#6509	C₂²	1	1	yes	characteristic
53	C₂×#6509	C₂²	1	1	yes	characteristic
54	C₂×#6509	C₂²	1	1	yes	characteristic
55	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
56	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
57	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
58	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
59	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
60	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
61	C₂×#6502	C₂²	1	1	yes	characteristic
62	C₂×#6500	C₂²	1	1	yes	characteristic
63	C₂×#6498	C₂²	1	1	yes	characteristic
64	C₂×#6498	C₂²	1	1	yes	characteristic
65	C₂×#6492	C₂²	1	1	yes	characteristic
66	C₂×#6492	C₂²	1	1	yes	characteristic
67	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
68	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
69	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
70	C₂×#6487	C₂²	1	1	yes	characteristic
71	C₂×#6487	C₂²	1	1	yes	characteristic
72	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	#90426	C₂²	1	16	yes	complemented
74	#90420	C₂²	1	16	yes	complemented
75	#90403	C₂²	1	16	yes	complemented
76	#90401	C₂²	1	16	yes	complemented
77	#90399	C₂²	1	16	yes	complemented
78	#90399	C₂²	1	16	yes	complemented
79	#90398	C₂²	1	16	yes	complemented
80	#90396	C₂²	1	16	yes	complemented
81	D₇×#126	C₂²	1	16	yes	complemented
82	#90392	C₂²	1	16	yes	complemented
83	#90370	C₂²	1	16	yes	complemented
84	#90369	C₂²	1	16	yes	—
85	#90363	C₂²	1	16	yes	complemented
86	#90360	C₂²	1	16	yes	complemented
87	#90337	C₂²	1	16	yes	complemented
88	#90329	C₂²	1	16	yes	complemented
89	#90327	C₂²	1	16	yes	complemented
90	#90325	C₂²	1	16	yes	complemented
91	#90274	C₂²	1	16	yes	complemented
92	#90274	C₂²	1	16	yes	complemented
93	#90272	C₂²	1	16	yes	complemented
94	#90270	C₂²	1	16	yes	complemented
95	#90269	C₂²	1	16	yes	complemented
96	#90259	C₂²	1	16	yes	complemented
97	#90255	C₂²	1	16	yes	complemented
98	#90247	C₂²	1	16	yes	complemented
99	#90222	C₂²	1	16	yes	complemented
100	#90219	C₂²	1	16	yes	complemented
101	#90218	C₂²	1	16	yes	complemented
102	#90209	C₂²	1	16	yes	complemented
103	C₂×#6461	C₂²	1	1	yes	characteristic
104	C₂×#6461	C₂²	1	1	yes	characteristic
105	C₂×#6461	C₂²	1	1	yes	characteristic
106	C₂×#6461	C₂²	1	1	yes	characteristic
107	C₂×#6461	C₂²	1	1	yes	characteristic
108	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
109	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
110	C₂×#6460	C₂²	1	1	yes	characteristic
111	C₂×#6460	C₂²	1	1	yes	characteristic
112	C₂×#6460	C₂²	1	1	yes	characteristic
113	C₂×#6459	C₂²	1	1	yes	characteristic
114	C₂×#6459	C₂²	1	1	yes	characteristic
115	C₂×#6459	C₂²	1	1	yes	characteristic
116	C₂×#6459	C₂²	1	1	yes	characteristic
117	C₂×#6459	C₂²	1	1	yes	characteristic
118	C₂×#6459	C₂²	1	1	yes	characteristic
119	C₂×#6459	C₂²	1	1	yes	characteristic
120	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
121	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
122	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
123	C₂×#6457	C₂²	1	1	yes	characteristic
124	C₂×#6457	C₂²	1	1	yes	characteristic
125	C₂×#6457	C₂²	1	1	yes	characteristic
126	C₂×#6457	C₂²	1	1	yes	characteristic
127	C₂×#6456	C₂²	1	1	yes	characteristic
128	C₂×#6455	C₂²	1	1	yes	characteristic
129	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
130	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
131	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
132	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
133	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
134	C₂×#6453	C₂²	1	1	yes	characteristic, complemented
135	C₂×#6453	C₂²	1	1	yes	characteristic, complemented
136	C₂×#6453	C₂²	1	1	yes	characteristic, complemented
137	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
138	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
139	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
140	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
141	C₂×#6452	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×#6452	C₂²	1	1	yes	characteristic, complemented
145	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
146	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
147	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
148	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
149	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
150	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
151	C₂×#6449	C₂²	1	1	yes	characteristic
152	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
153	C₂×#6448	C₂²	1	1	yes	characteristic
154	C₂×#6448	C₂²	1	1	yes	characteristic
155	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
156	C₂×#6447	C₂²	1	1	yes	characteristic
157	C₂×#6447	C₂²	1	1	yes	characteristic
158	C₂×#6446	C₂²	1	1	yes	characteristic
159	C₂×#6446	C₂²	1	1	yes	characteristic
160	C₂×#6446	C₂²	1	1	yes	characteristic
161	C₂×#6446	C₂²	1	1	yes	characteristic
162	C₂×#6446	C₂²	1	1	yes	characteristic
163	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
164	C₂×#6445	C₂²	1	1	yes	characteristic
165	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
166	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
167	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
168	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
169	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₂×#6442	C₂²	1	1	yes	characteristic
174	C₂×#6442	C₂²	1	1	yes	characteristic
175	C₂×#6442	C₂²	1	1	yes	characteristic
176	C₂×#6442	C₂²	1	1	yes	characteristic
177	C₂×#6442	C₂²	1	1	yes	characteristic
178	C₂×#6442	C₂²	1	1	yes	characteristic
179	C₂×#6442	C₂²	1	1	yes	characteristic
180	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
181	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
182	C₂×#6441	C₂²	1	1	yes	characteristic
183	C₂×#6441	C₂²	1	1	yes	characteristic
184	C₂×#6441	C₂²	1	1	yes	characteristic
185	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
186	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
187	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
188	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
189	C₂×#6440	C₂²	1	1	yes	characteristic
190	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
191	C₂×#6439	C₂²	1	1	yes	characteristic
192	C₂×#6439	C₂²	1	1	yes	characteristic
193	C₂×#6439	C₂²	1	1	yes	characteristic
194	C₂×#6439	C₂²	1	1	yes	characteristic
195	C₂×#6439	C₂²	1	1	yes	characteristic, complemented
196	C₂×#6439	C₂²	1	1	yes	characteristic, complemented
197	C₂×#6438	C₂²	1	1	yes	characteristic
198	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
199	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
200	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
201	C₂×#6435	C₂²	1	1	yes	characteristic
202	C₂×#6435	C₂²	1	1	yes	characteristic
203	C₂×#6435	C₂²	1	1	yes	characteristic
204	C₂×#6435	C₂²	1	1	yes	characteristic
205	C₂×#6435	C₂²	1	1	yes	characteristic
206	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
207	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
208	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
209	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
210	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
211	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
212	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
213	C₂×#6432	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×Dic₁₄	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×#3564	—	7	1	no	maximal, Sylow
220	C₂⁴×D₇	C₂³	1	1	yes	characteristic
221	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
224	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
227	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
228	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
229	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
230	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
231	C₂³×Dic₇	C₂³	1	1	yes	characteristic
232	C₂³×Dic₇	C₂³	1	1	yes	characteristic
233	C₂³×Dic₇	C₂³	1	1	yes	characteristic
234	C₂²×D₂₈	C₂³	1	1	yes	characteristic
235	C₂²×D₂₈	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
241	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
242	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
246	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
247	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
248	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
249	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
250	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
251	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
252	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
253	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
254	C₇×#126	C₂³	1	8	yes	—
255	C₇×#126	C₂³	1	8	yes	—
256	C₇×#126	C₂³	1	8	yes	complemented
257	C₇×#126	C₂³	1	8	yes	complemented
258	C₇×#124	C₂³	1	8	yes	—
259	C₇×#124	C₂³	1	8	yes	—
260	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
261	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
262	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
263	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
264	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
265	C₄×C₇×D₄	C₂³	1	8	yes	—
266	C₇×#117	C₂³	1	8	yes	—
267	C₇×#117	C₂³	1	8	yes	complemented
268	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊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×C₄²×C₇	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
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	#6510	C₂³	1	8	yes	—
306	#6509	C₂³	1	8	yes	—
307	#6509	C₂³	1	8	yes	—
308	#6509	C₂³	1	8	yes	—
309	#6509	C₂³	1	8	yes	—
310	#6509	C₂³	1	8	yes	—
311	#6509	C₂³	1	8	yes	complemented
312	#6509	C₂³	1	8	yes	complemented
313	#6507	C₂³	1	8	yes	complemented
314	#6507	C₂³	1	8	yes	complemented
315	#6507	C₂³	1	8	yes	complemented
316	#6507	C₂³	1	8	yes	complemented
317	#6502	C₂³	1	8	yes	—
318	#6500	C₂³	1	8	yes	—
319	#6498	C₂³	1	8	yes	—
320	#6498	C₂³	1	8	yes	—
321	#6492	C₂³	1	8	yes	—
322	#6492	C₂³	1	8	yes	—
323	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
324	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
325	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
347	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
348	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
349	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	—
350	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
352	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
355	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
356	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
364	#6487	C₂³	1	8	yes	—
365	#6487	C₂³	1	8	yes	—
366	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
367	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
368	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
369	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
370	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
371	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
372	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
373	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
374	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
375	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
376	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
377	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
378	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
379	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
380	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
381	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
382	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
383	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
384	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
385	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
386	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
387	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
388	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
390	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
391	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
395	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
396	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×Dic₇⋊C₄	C₂³	1	8	yes	complemented
403	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
404	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
405	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
406	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
407	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
408	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
409	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
410	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
411	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
412	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
413	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
414	#6461	C₂³	1	8	yes	—
415	#6461	C₂³	1	8	yes	—
416	#6461	C₂³	1	8	yes	—
417	#6461	C₂³	1	8	yes	—
418	#6461	C₂³	1	8	yes	—
419	#6461	C₂³	1	8	yes	complemented
420	#6461	C₂³	1	8	yes	complemented
421	#6460	C₂³	1	8	yes	—
422	#6460	C₂³	1	8	yes	—
423	#6460	C₂³	1	8	yes	—
424	#6459	C₂³	1	8	yes	—
425	#6459	C₂³	1	8	yes	—
426	#6459	C₂³	1	8	yes	—
427	#6459	C₂³	1	8	yes	—
428	#6459	C₂³	1	8	yes	—
429	#6459	C₂³	1	8	yes	—
430	#6459	C₂³	1	8	yes	—
431	#6459	C₂³	1	8	yes	complemented
432	#6459	C₂³	1	8	yes	complemented
433	#6459	C₂³	1	8	yes	complemented
434	#6457	C₂³	1	8	yes	—
435	#6457	C₂³	1	8	yes	—
436	#6457	C₂³	1	8	yes	—
437	#6457	C₂³	1	8	yes	—
438	#6456	C₂³	1	8	yes	—
439	#6455	C₂³	1	8	yes	—
440	#6455	C₂³	1	8	yes	complemented
441	D₇×C₄⋊C₄	C₂³	1	8	yes	—
442	D₇×C₄⋊C₄	C₂³	1	8	yes	—
443	D₇×C₄⋊C₄	C₂³	1	8	yes	—
444	D₇×C₄⋊C₄	C₂³	1	8	yes	complemented
445	#6453	C₂³	1	8	yes	complemented
446	#6453	C₂³	1	8	yes	complemented
447	#6453	C₂³	1	8	yes	complemented
448	#6452	C₂³	1	8	yes	complemented
449	#6452	C₂³	1	8	yes	complemented
450	#6452	C₂³	1	8	yes	complemented
451	#6452	C₂³	1	8	yes	complemented
452	#6452	C₂³	1	8	yes	complemented
453	#6452	C₂³	1	8	yes	complemented
454	#6452	C₂³	1	8	yes	complemented
455	#6452	C₂³	1	8	yes	complemented
456	#6452	C₂³	1	8	yes	complemented
457	#6452	C₂³	1	8	yes	complemented
458	#6452	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	#6449	C₂³	1	8	yes	—
463	#6449	C₂³	1	8	yes	complemented
464	#6448	C₂³	1	8	yes	—
465	#6448	C₂³	1	8	yes	—
466	#6448	C₂³	1	8	yes	complemented
467	#6447	C₂³	1	8	yes	—
468	#6447	C₂³	1	8	yes	—
469	#6446	C₂³	1	8	yes	—
470	#6446	C₂³	1	8	yes	—
471	#6446	C₂³	1	8	yes	—
472	#6446	C₂³	1	8	yes	—
473	#6446	C₂³	1	8	yes	—
474	#6446	C₂³	1	8	yes	complemented
475	#6445	C₂³	1	8	yes	—
476	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
477	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
478	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
479	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
480	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
481	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
482	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
483	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
484	#6442	C₂³	1	8	yes	—
485	#6442	C₂³	1	8	yes	—
486	#6442	C₂³	1	8	yes	—
487	#6442	C₂³	1	8	yes	—
488	#6442	C₂³	1	8	yes	—
489	#6442	C₂³	1	8	yes	—
490	#6442	C₂³	1	8	yes	—
491	#6442	C₂³	1	8	yes	complemented
492	#6442	C₂³	1	8	yes	complemented
493	#6441	C₂³	1	8	yes	—
494	#6441	C₂³	1	8	yes	—
495	#6441	C₂³	1	8	yes	—
496	#6441	C₂³	1	8	yes	complemented
497	#6441	C₂³	1	8	yes	complemented
498	#6441	C₂³	1	8	yes	complemented
499	#6441	C₂³	1	8	yes	complemented
500	#6440	C₂³	1	8	yes	—
501	#6440	C₂³	1	8	yes	complemented
502	#6439	C₂³	1	8	yes	—
503	#6439	C₂³	1	8	yes	—
504	#6439	C₂³	1	8	yes	—
505	#6439	C₂³	1	8	yes	—
506	#6439	C₂³	1	8	yes	complemented
507	#6439	C₂³	1	8	yes	complemented
508	#6438	C₂³	1	8	yes	—
509	C₄×D₂₈	C₂³	1	8	yes	—
510	C₄×D₂₈	C₂³	1	8	yes	—
511	C₄×D₂₈	C₂³	1	8	yes	—
512	#6435	C₂³	1	8	yes	—
513	#6435	C₂³	1	8	yes	—
514	#6435	C₂³	1	8	yes	—
515	#6435	C₂³	1	8	yes	—
516	#6435	C₂³	1	8	yes	—
517	#6435	C₂³	1	8	yes	complemented
518	C₄²×D₇	C₂³	1	8	yes	—
519	#6433	C₂³	1	8	yes	complemented
520	#6433	C₂³	1	8	yes	complemented
521	#6433	C₂³	1	8	yes	complemented
522	#6433	C₂³	1	8	yes	complemented
523	#6433	C₂³	1	8	yes	complemented
524	#6432	C₂³	1	8	yes	complemented
525	C₄×Dic₁₄	C₂³	1	8	yes	complemented
526	C₄×Dic₁₄	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	#3564	—	7	32	no	—
531	C₂×#563	—	7	1	no	—
532	C₂×#563	—	7	1	no	—
533	C₂×#563	—	7	1	no	—
534	C₂×#563	—	7	1	no	—
535	C₂×#556	—	7	1	no	—
536	C₂×#556	D₇	1	1	yes	characteristic, complemented
537	C₂×#554	—	7	1	no	—
538	C₂×#554	—	7	1	no	—
539	C₂×#552	—	7	1	no	—
540	C₂×#552	—	7	1	no	—
541	C₂×#552	—	7	1	no	—
542	C₂×#552	—	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×#544	—	7	1	no	—
548	C₂×#543	—	7	1	no	—
549	C₂×#542	—	7	1	no	—
550	C₂×#542	—	7	1	no	—
551	C₂×#541	—	7	1	no	—
552	C₂×#541	—	7	1	no	—
553	C₂×#541	—	7	1	no	—
554	C₂×#541	—	7	1	no	—
555	C₂×#539	—	7	1	no	—
556	C₂×#539	—	7	1	no	—
557	C₂×#539	—	7	1	no	—
558	C₂×#538	—	7	1	no	—
559	C₂×#533	—	7	1	no	—
560	C₂×#529	—	7	1	no	—
561	C₂²×#126	—	7	1	no	—
562	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
563	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
564	C₂³×D₇	—	2	4	no	—
565	C₂³×D₇	—	4	2	no	—
566	C₂³×D₇	—	4	2	no	—
567	C₂³×D₇	C₂⁴	1	1	yes	characteristic
568	C₂³×D₇	C₂⁴	1	1	yes	characteristic
569	C₂³×D₇	C₂⁴	1	1	yes	characteristic
570	C₂³×D₇	C₂⁴	1	4	yes	—
571	C₂×C₇×Q₈	—	4	2	no	—
572	C₂×C₇×Q₈	—	4	2	no	—
573	C₂×C₇×Q₈	—	4	2	no	—
574	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
575	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
576	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
577	C₂×C₇×D₄	—	4	2	no	—
578	C₂×C₇×D₄	C₂⁴	1	4	yes	—
579	C₂²×C₄×C₇	—	4	2	no	—
580	C₂²×C₄×C₇	—	4	2	no	—
581	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
590	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
594	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
595	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
596	C₂×C₂²⋊D₇	—	2	4	no	—
597	C₂×C₂²⋊D₇	—	4	2	no	—
598	C₂×C₂²⋊D₇	—	4	2	no	—
599	C₂×C₂²⋊D₇	—	4	2	no	—
600	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
601	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
602	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
603	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
604	C₂²×Dic₇	—	4	2	no	—
605	C₂²×Dic₇	—	4	2	no	—
606	C₂²×Dic₇	—	4	2	no	—
607	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
612	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
614	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
615	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
617	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
618	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
619	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
620	C₂²×Dic₇	C₂⁴	1	4	yes	—
621	C₂²×Dic₇	C₂⁴	1	4	yes	—
622	C₂²×Dic₇	C₂⁴	1	4	yes	—
623	C₂×D₂₈	—	2	4	no	—
624	C₂×D₂₈	—	4	2	no	—
625	C₂×D₂₈	C₂⁴	1	4	yes	—
626	C₂×D₂₈	C₂⁴	1	4	yes	—
627	C₂×C₄×D₇	—	2	4	no	—
628	C₂×C₄×D₇	—	2	4	no	—
629	C₂×C₄×D₇	—	4	2	no	—
630	C₂×C₄×D₇	—	4	2	no	—
631	C₂×C₄×D₇	—	4	2	no	—
632	C₂×C₄×D₇	—	4	2	no	—
633	C₂×C₄×D₇	—	4	2	no	—
634	C₂×C₄×D₇	—	4	2	no	—
635	C₂×C₄×D₇	—	4	2	no	—
636	C₂×C₄×D₇	—	4	2	no	—
637	C₂×C₄×D₇	—	4	2	no	—
638	C₂×C₄×D₇	C₂⁴	1	4	yes	—
639	C₂×C₄×D₇	C₂⁴	1	4	yes	—
640	C₂×C₄×D₇	C₂⁴	1	4	yes	—
641	C₂×C₄×D₇	C₂⁴	1	4	yes	—
642	C₂×C₄×D₇	C₂⁴	1	4	yes	—
643	C₂×C₄×D₇	C₂⁴	1	4	yes	—
644	C₂×C₄×D₇	C₂⁴	1	4	yes	—
645	C₂×C₄×D₇	C₂⁴	1	4	yes	—
646	C₂×C₄×D₇	C₂⁴	1	4	yes	—
647	C₂×C₄×D₇	C₂⁴	1	4	yes	—
648	C₂×C₄×D₇	C₂⁴	1	4	yes	—
649	C₂×Dic₁₄	—	4	2	no	—
650	C₂×Dic₁₄	—	4	2	no	—
651	C₂×Dic₁₄	—	4	2	no	—
652	C₂×Dic₁₄	—	4	2	no	—
653	C₂×Dic₁₄	—	4	2	no	—
654	C₂×Dic₁₄	—	4	2	no	—
655	C₂×Dic₁₄	C₂⁴	1	4	yes	—
656	C₂×Dic₁₄	C₂⁴	1	4	yes	—
657	C₂×Dic₁₄	C₂⁴	1	4	yes	—
658	C₂×Dic₁₄	C₂⁴	1	4	yes	—
659	C₂×Dic₁₄	C₂⁴	1	4	yes	—
660	C₂×Dic₁₄	C₂⁴	1	4	yes	—
661	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
662	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
663	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
664	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
665	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
666	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
667	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
668	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
669	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
670	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
671	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
672	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
673	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
674	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
676	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
677	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
680	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
681	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
682	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
683	C₄²×C₇	C₂⁴	1	4	yes	—
684	C₄²×C₇	C₂⁴	1	4	yes	—
685	C₄²×C₇	C₂⁴	1	4	yes	—
686	C₄²×C₇	C₂⁴	1	4	yes	—
687	C₄²×C₇	C₂⁴	1	4	yes	—
688	C₄²×C₇	C₂⁴	1	4	yes	—
689	C₄²×C₇	C₂⁴	1	4	yes	—
690	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
691	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
692	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
693	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
694	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
695	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
696	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
697	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
698	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
699	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
700	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
701	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
702	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
703	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
704	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
705	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
706	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
707	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
708	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
709	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
710	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
711	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
712	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
713	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
714	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
715	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
716	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
717	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
718	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
719	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
720	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
721	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
722	C₄⋊Dic₇	C₂⁴	1	4	yes	—
723	C₄⋊Dic₇	C₂⁴	1	4	yes	—
724	C₄⋊Dic₇	C₂⁴	1	4	yes	—
725	C₄⋊Dic₇	C₂⁴	1	4	yes	—
726	C₄⋊Dic₇	C₂⁴	1	4	yes	—
727	C₄⋊Dic₇	C₂⁴	1	4	yes	—
728	C₄⋊Dic₇	C₂⁴	1	4	yes	—
729	C₄⋊Dic₇	C₂⁴	1	4	yes	—
730	C₄⋊Dic₇	C₂⁴	1	4	yes	—
731	C₄⋊Dic₇	C₂⁴	1	4	yes	—
732	C₄⋊Dic₇	C₂⁴	1	4	yes	—
733	C₄⋊Dic₇	C₂⁴	1	4	yes	—
734	C₄⋊Dic₇	C₂⁴	1	4	yes	—
735	C₄⋊Dic₇	C₂⁴	1	4	yes	—
736	Dic₇⋊C₄	C₂⁴	1	4	yes	—
737	Dic₇⋊C₄	C₂⁴	1	4	yes	—
738	Dic₇⋊C₄	C₂⁴	1	4	yes	—
739	Dic₇⋊C₄	C₂⁴	1	4	yes	—
740	Dic₇⋊C₄	C₂⁴	1	4	yes	—
741	Dic₇⋊C₄	C₂⁴	1	4	yes	—
742	Dic₇⋊C₄	C₂⁴	1	4	yes	—
743	Dic₇⋊C₄	C₂⁴	1	4	yes	—
744	Dic₇⋊C₄	C₂⁴	1	4	yes	—
745	Dic₇⋊C₄	C₂⁴	1	4	yes	—
746	Dic₇⋊C₄	C₂⁴	1	4	yes	—
747	Dic₇⋊C₄	C₂⁴	1	4	yes	—
748	Dic₇⋊C₄	C₂⁴	1	4	yes	—
749	Dic₇⋊C₄	C₂⁴	1	4	yes	—
750	Dic₇⋊C₄	C₂⁴	1	4	yes	—
751	Dic₇⋊C₄	C₂⁴	1	4	yes	—
752	Dic₇⋊C₄	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	C₄×Dic₇	C₂⁴	1	4	yes	—
773	C₄×Dic₇	C₂⁴	1	4	yes	—
774	C₄×Dic₇	C₂⁴	1	4	yes	—
775	C₄×Dic₇	C₂⁴	1	4	yes	—
776	C₄×Dic₇	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	#563	—	7	16	no	—
784	#563	—	7	16	no	—
785	#563	—	7	16	no	—
786	#563	—	7	16	no	—
787	#556	—	7	16	no	—
788	#556	C₂×D₇	1	16	yes	complemented
789	#554	—	7	16	no	—
790	#554	—	7	16	no	—
791	#552	—	7	16	no	—
792	#552	—	7	16	no	—
793	#552	—	7	16	no	—
794	#552	—	7	16	no	—
795	#551	—	7	16	no	—
796	#551	—	7	16	no	—
797	#551	—	7	16	no	—
798	#551	—	7	16	no	—
799	#544	—	7	16	no	—
800	#543	—	7	16	no	—
801	#542	—	7	16	no	—
802	#542	—	7	16	no	—
803	#541	—	7	16	no	—
804	#541	—	7	16	no	—
805	#541	—	7	16	no	—
806	#541	—	7	16	no	—
807	#539	—	7	16	no	—
808	#539	—	7	16	no	—
809	#539	—	7	16	no	—
810	#538	—	7	16	no	—
811	#533	—	7	16	no	—
812	C₂×C₄⋊Q₈	—	7	1	no	—
813	C₂×C₄⋊Q₈	—	7	1	no	—
814	C₂×C₄⋊Q₈	—	7	1	no	—
815	C₂×C₄⋊Q₈	—	7	1	no	—
816	C₂×C₄⋊Q₈	—	7	1	no	—
817	C₂×C₄⋊Q₈	—	7	1	no	—
818	C₂×C₄⋊Q₈	—	7	1	no	—
819	C₂×C₄⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
820	#529	—	7	16	no	—
821	C₂×#126	—	7	16	no	—
822	C₂×#126	—	7	1	no	—
823	C₂×#126	—	7	1	no	—
824	C₂×#126	—	7	1	no	—
825	C₂×#126	—	7	1	no	—
826	C₂×#126	—	7	1	no	—
827	C₂×#126	—	7	1	no	—
828	C₂×#126	—	7	1	no	—
829	C₂×#126	—	7	1	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	C₂×D₇	1	1	yes	characteristic
845	C₂×#126	C₂×D₇	1	1	yes	characteristic
846	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
847	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
848	C₂×#125	—	7	1	no	—
849	C₂×#125	—	7	1	no	—
850	C₂×#125	—	7	1	no	—
851	C₂×#125	—	7	1	no	—
852	C₂×#125	—	7	1	no	—
853	C₂×#125	—	7	1	no	—
854	C₂×#125	—	7	1	no	—
855	C₂×#125	—	7	1	no	—
856	C₂×#125	—	7	1	no	—
857	C₂×#125	—	7	1	no	—
858	C₂×#125	—	7	1	no	—
859	C₂×#125	—	7	1	no	—
860	C₂×#125	—	7	1	no	—
861	C₂×#125	—	7	1	no	—
862	C₂×#125	—	7	1	no	—
863	C₂×#125	—	7	1	no	—
864	C₂×#125	—	7	1	no	—
865	C₂×#125	—	7	1	no	—
866	C₂×#125	—	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	C₂×D₇	1	1	yes	characteristic
873	C₂×#124	C₂×D₇	1	1	yes	characteristic
874	C₂×#123	—	7	1	no	—
875	C₂×#123	—	7	1	no	—
876	C₂×#123	—	7	1	no	—
877	C₂×#123	—	7	1	no	—
878	C₂×#123	—	7	1	no	—
879	C₂×#123	—	7	1	no	—
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×C₂²⋊Q₈	—	7	1	no	—
891	C₂×C₂²⋊Q₈	—	7	1	no	—
892	C₂×C₂²⋊Q₈	—	7	1	no	—
893	C₂×C₂²⋊Q₈	—	7	1	no	—
894	C₂×C₂²⋊Q₈	—	7	1	no	—
895	C₂×C₂²⋊Q₈	—	7	1	no	—
896	C₂×C₂²⋊Q₈	—	7	1	no	—
897	C₂×C₂²⋊Q₈	—	7	1	no	—
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	—	7	1	no	—
919	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
920	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
921	C₂×#121	—	7	1	no	—
922	C₂×#121	—	7	1	no	—
923	C₂×#121	—	7	1	no	—
924	C₂×#120	—	7	1	no	—
925	C₂×#120	—	7	1	no	—
926	C₂×C₄×Q₈	—	7	1	no	—
927	C₂×C₄×Q₈	—	7	1	no	—
928	C₂×C₄×Q₈	—	7	1	no	—
929	C₂×C₄×Q₈	—	7	1	no	—
930	C₂×C₄×Q₈	—	7	1	no	—
931	C₂×C₄×Q₈	—	7	1	no	—
932	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
933	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
934	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
935	C₂×C₄×D₄	—	7	1	no	—
936	C₂×C₄×D₄	—	7	1	no	—
937	C₂×C₄×D₄	—	7	1	no	—
938	C₂×C₄×D₄	—	7	1	no	—
939	C₂×C₄×D₄	—	7	1	no	—
940	C₂×C₄×D₄	—	7	1	no	—
941	C₂×C₄×D₄	—	7	1	no	—
942	C₂×C₄×D₄	—	7	1	no	—
943	C₂×C₄×D₄	—	7	1	no	—
944	C₂×C₄×D₄	—	7	1	no	—
945	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
946	C₂×#117	—	7	1	no	—
947	C₂×#117	—	7	1	no	—
948	C₂×#117	—	7	1	no	—
949	C₂×#117	—	7	1	no	—
950	C₂×#117	—	7	1	no	—
951	C₂×#117	—	7	1	no	—
952	C₂×#117	—	7	1	no	—
953	C₂×#117	—	7	1	no	—
954	C₂×#117	—	7	1	no	—
955	C₂×#117	—	7	1	no	—
956	C₂×#117	C₂×D₇	1	1	yes	characteristic
957	C₂×#117	C₂×D₇	1	1	yes	characteristic, complemented
958	C₂²×C₄⋊C₄	—	7	1	no	—
959	C₂²×C₄⋊C₄	—	7	1	no	—
960	C₂²×C₄⋊C₄	—	7	1	no	—
961	C₂²×C₄⋊C₄	—	7	1	no	—
962	C₂²×C₄⋊C₄	—	7	1	no	—
963	C₂²×C₂²⋊C₄	—	7	1	no	—
964	C₂²×C₂²⋊C₄	—	7	1	no	—
965	C₂²×C₂²⋊C₄	—	7	1	no	—
966	C₂²×C₂²⋊C₄	—	7	1	no	—
967	C₂²×C₂²⋊C₄	—	7	1	no	—
968	C₂²×C₄²	—	7	1	no	—
969	C₂³×C₇	—	2	2	no	—
970	C₂³×C₇	—	2	2	no	—
971	C₂³×C₇	—	2	2	no	—
972	C₂³×C₇	—	2	2	no	—
973	C₂³×C₇	—	2	2	no	—
974	C₂³×C₇	—	2	2	no	—
975	C₂³×C₇	C₂⁵	1	2	yes	—
976	C₂³×C₇	C₂⁵	1	2	yes	—
977	C₂³×C₇	C₂⁵	1	1	yes	characteristic
978	C₂²×D₇	—	2	2	no	—
979	C₂²×D₇	—	2	2	no	—
980	C₂²×D₇	—	2	2	no	—
981	C₂²×D₇	—	2	2	no	—
982	C₂²×D₇	—	2	2	no	—
983	C₂²×D₇	—	2	2	no	—
984	C₂²×D₇	—	2	2	no	—
985	C₂²×D₇	—	2	2	no	—
986	C₂²×D₇	—	2	8	no	—
987	C₂²×D₇	—	4	4	no	—
988	C₂²×D₇	—	4	4	no	—
989	C₂²×D₇	—	8	8	no	—
990	C₂²×D₇	2₋¹⁺⁴	1	4	yes	—
991	C₂²×D₇	C₂⁵	1	2	yes	—
992	C₂²×D₇	C₂⁵	1	2	yes	—
993	C₂²×D₇	C₂⁵	1	2	yes	—
994	C₇×Q₈	—	4	4	no	—
995	C₇×Q₈	—	4	4	no	—
996	C₇×Q₈	—	4	4	no	—
997	C₇×D₄	—	4	4	no	—
998	C₂×C₄×C₇	—	2	2	no	—
999	C₂×C₄×C₇	—	2	2	no	—
1000	C₂×C₄×C₇	—	2	2	no	—
1001	C₂×C₄×C₇	—	2	2	no	—
1002	C₂×C₄×C₇	—	2	2	no	—
1003	C₂×C₄×C₇	—	2	2	no	—
1004	C₂×C₄×C₇	—	2	2	no	—
1005	C₂×C₄×C₇	—	2	2	no	—
1006	C₂×C₄×C₇	—	2	2	no	—
1007	C₂×C₄×C₇	—	2	2	no	—
1008	C₂×C₄×C₇	—	2	2	no	—
1009	C₂×C₄×C₇	—	2	2	no	—
1010	C₂×C₄×C₇	—	2	2	no	—
1011	C₂×C₄×C₇	—	4	4	no	—
1012	C₂×C₄×C₇	—	4	4	no	—
1013	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1014	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1015	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1016	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1017	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1018	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1019	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1020	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1021	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1022	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1023	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1024	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1025	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1026	C₂²⋊D₇	—	2	8	no	—
1027	C₂²⋊D₇	—	4	4	no	—
1028	C₂²⋊D₇	—	4	4	no	—
1029	C₂²⋊D₇	—	4	4	no	—
1030	C₂×Dic₇	—	2	2	no	—
1031	C₂×Dic₇	—	2	2	no	—
1032	C₂×Dic₇	—	2	2	no	—
1033	C₂×Dic₇	—	2	2	no	—
1034	C₂×Dic₇	—	2	2	no	—
1035	C₂×Dic₇	—	2	2	no	—
1036	C₂×Dic₇	—	2	2	no	—
1037	C₂×Dic₇	—	2	2	no	—
1038	C₂×Dic₇	—	2	2	no	—
1039	C₂×Dic₇	—	2	2	no	—
1040	C₂×Dic₇	—	2	2	no	—
1041	C₂×Dic₇	—	2	2	no	—
1042	C₂×Dic₇	—	2	2	no	—
1043	C₂×Dic₇	—	4	4	no	—
1044	C₂×Dic₇	—	4	4	no	—
1045	C₂×Dic₇	—	4	4	no	—
1046	C₂×Dic₇	C₂⁵	1	2	yes	—
1047	C₂×Dic₇	C₂⁵	1	2	yes	—
1048	C₂×Dic₇	C₂⁵	1	2	yes	—
1049	C₂×Dic₇	C₂⁵	1	2	yes	—
1050	C₂×Dic₇	C₂⁵	1	2	yes	—
1051	C₂×Dic₇	C₂⁵	1	2	yes	—
1052	C₂×Dic₇	C₂⁵	1	2	yes	—
1053	C₂×Dic₇	C₂⁵	1	2	yes	—
1054	C₂×Dic₇	C₂⁵	1	2	yes	—
1055	C₂×Dic₇	C₂⁵	1	2	yes	—
1056	C₂×Dic₇	C₂⁵	1	2	yes	—
1057	C₂×Dic₇	C₂⁵	1	2	yes	—
1058	C₂×Dic₇	C₂⁵	1	2	yes	—
1059	D₂₈	—	2	8	no	—
1060	D₂₈	—	4	4	no	—
1061	C₄×D₇	—	2	8	no	—
1062	C₄×D₇	—	2	8	no	—
1063	C₄×D₇	—	4	4	no	—
1064	C₄×D₇	—	4	4	no	—
1065	C₄×D₇	—	4	4	no	—
1066	C₄×D₇	—	4	4	no	—
1067	C₄×D₇	—	4	4	no	—
1068	C₄×D₇	—	4	4	no	—
1069	C₄×D₇	—	4	4	no	—
1070	C₄×D₇	—	4	4	no	—
1071	C₄×D₇	—	4	4	no	—
1072	Dic₁₄	—	4	4	no	—
1073	Dic₁₄	—	4	4	no	—
1074	Dic₁₄	—	4	4	no	—
1075	Dic₁₄	—	4	4	no	—
1076	Dic₁₄	—	4	4	no	—
1077	Dic₁₄	—	4	4	no	—
1078	C₂⁵	—	7	1	no	—
1079	C₂²×Q₈	—	7	1	no	—
1080	C₂²×Q₈	—	7	1	no	—
1081	C₂²×Q₈	—	7	1	no	—
1082	C₂²×Q₈	—	7	1	no	—
1083	C₂²×Q₈	—	7	1	no	—
1084	C₂²×Q₈	—	7	1	no	—
1085	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1086	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1087	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1088	C₂²×D₄	—	7	1	no	—
1089	C₂²×D₄	—	7	1	no	—
1090	C₂²×D₄	—	7	1	no	—
1091	C₂²×D₄	—	7	1	no	—
1092	C₂²×D₄	—	7	1	no	—
1093	C₂²×D₄	—	7	1	no	—
1094	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1095	C₂³×C₄	—	7	1	no	—
1096	C₂³×C₄	—	7	1	no	—
1097	C₂³×C₄	—	7	1	no	—
1098	C₂³×C₄	—	7	1	no	—
1099	C₂³×C₄	—	7	1	no	—
1100	C₂³×C₄	—	7	1	no	—
1101	C₂³×C₄	—	7	1	no	—
1102	C₂³×C₄	—	7	1	no	—
1103	C₂³×C₄	—	7	1	no	—
1104	C₂³×C₄	—	7	1	no	—
1105	C₂³×C₄	—	7	1	no	—
1106	C₂³×C₄	—	7	1	no	—
1107	C₂³×C₄	—	7	1	no	—
1108	C₂³×C₄	—	7	1	no	—
1109	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1110	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1111	C₄⋊Q₈	—	7	8	no	—
1112	C₄⋊Q₈	—	7	8	no	—
1113	C₄⋊Q₈	—	7	8	no	—
1114	C₄⋊Q₈	—	7	8	no	—
1115	C₄⋊Q₈	—	7	8	no	—
1116	C₄⋊Q₈	—	7	8	no	—
1117	C₄⋊Q₈	—	7	8	no	—
1118	C₄⋊Q₈	C₂²×D₇	1	8	yes	complemented
1119	#126	—	7	8	no	—
1120	#126	—	7	8	no	—
1121	#126	—	7	8	no	—
1122	#126	—	7	8	no	—
1123	#126	—	7	8	no	—
1124	#126	—	7	8	no	—
1125	#126	—	7	8	no	—
1126	#126	—	7	8	no	—
1127	#126	—	7	8	no	—
1128	#126	—	7	8	no	—
1129	#126	—	7	8	no	—
1130	#126	—	7	8	no	—
1131	#126	—	7	8	no	—
1132	#126	—	7	8	no	—
1133	#126	—	7	8	no	—
1134	#126	—	7	8	no	—
1135	#126	—	7	8	no	—
1136	#126	—	7	8	no	—
1137	#126	—	7	8	no	—
1138	#126	—	7	8	no	—
1139	#126	—	7	8	no	—
1140	#126	—	7	8	no	—
1141	#126	C₂²×D₇	1	8	yes	—
1142	#126	C₂²×D₇	1	8	yes	—
1143	#126	C₂²×D₇	1	8	yes	complemented
1144	#126	C₂²×D₇	1	8	yes	complemented
1145	#125	—	7	8	no	—
1146	#125	—	7	8	no	—
1147	#125	—	7	8	no	—
1148	#125	—	7	8	no	—
1149	#125	—	7	8	no	—
1150	#125	—	7	8	no	—
1151	#125	—	7	8	no	—
1152	#125	—	7	8	no	—
1153	#125	—	7	8	no	—
1154	#125	—	7	8	no	—
1155	#125	—	7	8	no	—
1156	#125	—	7	8	no	—
1157	#125	—	7	8	no	—
1158	#125	—	7	8	no	—
1159	#125	—	7	8	no	—
1160	#125	—	7	8	no	—
1161	#125	—	7	8	no	—
1162	#125	—	7	8	no	—
1163	#125	—	7	8	no	—
1164	#124	—	7	8	no	—
1165	#124	—	7	8	no	—
1166	#124	—	7	8	no	—
1167	#124	—	7	8	no	—
1168	#124	—	7	8	no	—
1169	#124	C₂²×D₇	1	8	yes	—
1170	#124	C₂²×D₇	1	8	yes	—
1171	#123	—	7	8	no	—
1172	#123	—	7	8	no	—
1173	#123	—	7	8	no	—
1174	#123	—	7	8	no	—
1175	#123	—	7	8	no	—
1176	#123	—	7	8	no	—
1177	#123	—	7	8	no	—
1178	#123	—	7	8	no	—
1179	#123	—	7	8	no	—
1180	#123	—	7	8	no	—
1181	#123	—	7	8	no	—
1182	#123	—	7	8	no	—
1183	#123	—	7	8	no	—
1184	#123	—	7	8	no	—
1185	#123	—	7	8	no	—
1186	#123	—	7	8	no	—
1187	C₂²⋊Q₈	—	7	8	no	—
1188	C₂²⋊Q₈	—	7	8	no	—
1189	C₂²⋊Q₈	—	7	8	no	—
1190	C₂²⋊Q₈	—	7	8	no	—
1191	C₂²⋊Q₈	—	7	8	no	—
1192	C₂²⋊Q₈	—	7	8	no	—
1193	C₂²⋊Q₈	—	7	8	no	—
1194	C₂²⋊Q₈	—	7	8	no	—
1195	C₂²⋊Q₈	—	7	8	no	—
1196	C₂²⋊Q₈	—	7	8	no	—
1197	C₂²⋊Q₈	—	7	8	no	—
1198	C₂²⋊Q₈	—	7	8	no	—
1199	C₂²⋊Q₈	—	7	8	no	—
1200	C₂²⋊Q₈	—	7	8	no	—
1201	C₂²⋊Q₈	—	7	8	no	—
1202	C₂²⋊Q₈	—	7	8	no	—
1203	C₂²⋊Q₈	—	7	8	no	—
1204	C₂²⋊Q₈	—	7	8	no	—
1205	C₂²⋊Q₈	—	7	8	no	—
1206	C₂²⋊Q₈	—	7	8	no	—
1207	C₂²⋊Q₈	—	7	8	no	—
1208	C₂²⋊Q₈	—	7	8	no	—
1209	C₂²⋊Q₈	—	7	8	no	—
1210	C₂²⋊Q₈	—	7	8	no	—
1211	C₂²⋊Q₈	—	7	8	no	—
1212	C₂²⋊Q₈	—	7	8	no	—
1213	C₂²⋊Q₈	—	7	8	no	—
1214	C₂²⋊Q₈	—	7	8	no	—
1215	C₂²⋊Q₈	—	7	8	no	—
1216	C₂²⋊Q₈	C₂²×D₇	1	8	yes	—
1217	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1218	#121	—	7	8	no	—
1219	#121	—	7	8	no	—
1220	#121	—	7	8	no	—
1221	#120	—	7	8	no	—
1222	#120	—	7	8	no	—
1223	C₄×Q₈	—	7	8	no	—
1224	C₄×Q₈	—	7	8	no	—
1225	C₄×Q₈	—	7	8	no	—
1226	C₄×Q₈	—	7	8	no	—
1227	C₄×Q₈	—	7	8	no	—
1228	C₄×Q₈	—	7	8	no	—
1229	C₄×Q₈	C₂²×D₇	1	8	yes	complemented
1230	C₄×Q₈	C₂²×D₇	1	8	yes	complemented
1231	C₄×Q₈	C₂²×D₇	1	8	yes	complemented
1232	C₄×D₄	—	7	8	no	—
1233	C₄×D₄	—	7	8	no	—
1234	C₄×D₄	—	7	8	no	—
1235	C₄×D₄	—	7	8	no	—
1236	C₄×D₄	—	7	8	no	—
1237	C₄×D₄	—	7	8	no	—
1238	C₄×D₄	—	7	8	no	—
1239	C₄×D₄	—	7	8	no	—
1240	C₄×D₄	—	7	8	no	—
1241	C₄×D₄	—	7	8	no	—
1242	C₄×D₄	C₂²×D₇	1	8	yes	—
1243	#117	—	7	8	no	—
1244	#117	—	7	8	no	—
1245	#117	—	7	8	no	—
1246	#117	—	7	8	no	—
1247	#117	—	7	8	no	—
1248	#117	—	7	8	no	—
1249	#117	—	7	8	no	—
1250	#117	—	7	8	no	—
1251	#117	—	7	8	no	—
1252	#117	—	7	8	no	—
1253	#117	C₂²×D₇	1	8	yes	—
1254	#117	C₂²×D₇	1	8	yes	complemented
1255	C₂×C₄⋊C₄	—	7	1	no	—
1256	C₂×C₄⋊C₄	—	7	1	no	—
1257	C₂×C₄⋊C₄	—	7	1	no	—
1258	C₂×C₄⋊C₄	—	7	1	no	—
1259	C₂×C₄⋊C₄	—	7	1	no	—
1260	C₂×C₄⋊C₄	—	7	1	no	—
1261	C₂×C₄⋊C₄	—	7	1	no	—
1262	C₂×C₄⋊C₄	—	7	1	no	—
1263	C₂×C₄⋊C₄	—	7	1	no	—
1264	C₂×C₄⋊C₄	—	7	1	no	—
1265	C₂×C₄⋊C₄	—	7	1	no	—
1266	C₂×C₄⋊C₄	—	7	1	no	—
1267	C₂×C₄⋊C₄	—	7	1	no	—
1268	C₂×C₄⋊C₄	—	7	1	no	—
1269	C₂×C₄⋊C₄	—	7	1	no	—
1270	C₂×C₄⋊C₄	—	7	8	no	—
1271	C₂×C₄⋊C₄	—	7	1	no	—
1272	C₂×C₄⋊C₄	—	7	1	no	—
1273	C₂×C₄⋊C₄	—	7	1	no	—
1274	C₂×C₄⋊C₄	—	7	1	no	—
1275	C₂×C₄⋊C₄	—	7	1	no	—
1276	C₂×C₄⋊C₄	—	7	1	no	—
1277	C₂×C₄⋊C₄	—	7	1	no	—
1278	C₂×C₄⋊C₄	—	7	1	no	—
1279	C₂×C₄⋊C₄	—	7	1	no	—
1280	C₂×C₄⋊C₄	—	7	1	no	—
1281	C₂×C₄⋊C₄	—	7	1	no	—
1282	C₂×C₄⋊C₄	—	7	1	no	—
1283	C₂×C₄⋊C₄	—	7	1	no	—
1284	C₂×C₄⋊C₄	—	7	1	no	—
1285	C₂×C₄⋊C₄	—	7	1	no	—
1286	C₂×C₄⋊C₄	—	7	1	no	—
1287	C₂×C₄⋊C₄	—	7	1	no	—
1288	C₂×C₄⋊C₄	—	7	1	no	—
1289	C₂×C₄⋊C₄	—	7	1	no	—
1290	C₂×C₄⋊C₄	—	7	1	no	—
1291	C₂×C₄⋊C₄	—	7	1	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	8	no	—
1307	C₂×C₄⋊C₄	—	7	8	no	—
1308	C₂×C₄⋊C₄	—	7	8	no	—
1309	C₂×C₄⋊C₄	—	7	8	no	—
1310	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1311	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1312	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1313	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1314	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1315	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1316	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1317	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1318	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1319	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1320	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1321	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1322	C₂×C₂²⋊C₄	—	7	1	no	—
1323	C₂×C₂²⋊C₄	—	7	1	no	—
1324	C₂×C₂²⋊C₄	—	7	1	no	—
1325	C₂×C₂²⋊C₄	—	7	1	no	—
1326	C₂×C₂²⋊C₄	—	7	1	no	—
1327	C₂×C₂²⋊C₄	—	7	1	no	—
1328	C₂×C₂²⋊C₄	—	7	1	no	—
1329	C₂×C₂²⋊C₄	—	7	1	no	—
1330	C₂×C₂²⋊C₄	—	7	1	no	—
1331	C₂×C₂²⋊C₄	—	7	1	no	—
1332	C₂×C₂²⋊C₄	—	7	1	no	—
1333	C₂×C₂²⋊C₄	—	7	1	no	—
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	8	no	—
1343	C₂×C₂²⋊C₄	—	7	1	no	—
1344	C₂×C₂²⋊C₄	—	7	1	no	—
1345	C₂×C₂²⋊C₄	—	7	1	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	8	no	—
1356	C₂×C₂²⋊C₄	—	7	8	no	—
1357	C₂×C₂²⋊C₄	—	7	8	no	—
1358	C₂×C₂²⋊C₄	—	7	8	no	—
1359	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1360	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1361	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1362	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1363	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1364	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1365	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1366	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1367	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1368	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1369	C₂×C₄²	—	7	1	no	—
1370	C₂×C₄²	—	7	1	no	—
1371	C₂×C₄²	—	7	1	no	—
1372	C₂×C₄²	—	7	1	no	—
1373	C₂×C₄²	—	7	1	no	—
1374	C₂×C₄²	—	7	1	no	—
1375	C₂×C₄²	—	7	1	no	—
1376	C₂×C₄²	—	7	1	no	—
1377	C₂×C₄²	—	7	1	no	—
1378	C₂×C₄²	—	7	1	no	—
1379	C₂×C₄²	—	7	1	no	—
1380	C₂×C₄²	—	7	8	no	—
1381	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1382	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1383	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1384	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1385	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1386	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1387	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1388	C₂²×C₇	—	2	2	no	—
1389	C₂²×C₇	—	2	2	no	—
1390	C₂²×C₇	—	2	2	no	—
1391	C₂²×C₇	—	2	2	no	—
1392	C₂²×C₇	—	2	2	no	—
1393	C₂²×C₇	—	2	2	no	—
1394	C₂²×C₇	—	4	4	no	—
1395	C₂²×C₇	—	4	4	no	—
1396	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1397	C₂²×C₇	#585	1	2	yes	—
1398	C₂²×C₇	#585	1	2	yes	—
1399	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1400	C₂×D₇	—	2	2	no	—
1401	C₂×D₇	—	2	2	no	—
1402	C₂×D₇	—	2	8	no	—
1403	C₂×D₇	—	2	2	no	—
1404	C₂×D₇	—	2	2	no	—
1405	C₂×D₇	—	2	2	no	—
1406	C₂×D₇	—	2	2	no	—
1407	C₂×D₇	—	2	2	no	—
1408	C₂×D₇	—	2	2	no	—
1409	C₂×D₇	—	4	4	no	—
1410	C₂×D₇	—	4	4	no	—
1411	C₂×D₇	—	8	8	no	—
1412	C₂×D₇	C₂×2₋¹⁺⁴	1	4	yes	—
1413	C₄×C₇	—	2	2	no	—
1414	C₄×C₇	—	2	2	no	—
1415	C₄×C₇	—	2	2	no	—
1416	C₄×C₇	—	2	2	no	—
1417	C₄×C₇	—	2	2	no	—
1418	C₄×C₇	—	2	2	no	—
1419	C₄×C₇	—	2	2	no	—
1420	C₄×C₇	—	2	2	no	—
1421	C₄×C₇	—	2	2	no	—
1422	C₄×C₇	—	2	2	no	—
1423	C₄×C₇	—	2	2	no	—
1424	C₄×C₇	—	2	2	no	—
1425	C₄×C₇	—	2	2	no	—
1426	Dic₇	—	2	2	no	—
1427	Dic₇	—	2	2	no	—
1428	Dic₇	—	2	2	no	—
1429	Dic₇	—	2	2	no	—
1430	Dic₇	—	2	2	no	—
1431	Dic₇	—	2	2	no	—
1432	Dic₇	—	2	2	no	—
1433	Dic₇	—	2	2	no	—
1434	Dic₇	—	2	2	no	—
1435	Dic₇	—	2	2	no	—
1436	Dic₇	—	2	2	no	—
1437	Dic₇	—	2	2	no	—
1438	Dic₇	—	2	2	no	—
1439	C₂⁴	—	7	1	no	—
1440	C₂⁴	—	7	1	no	—
1441	C₂⁴	—	7	1	no	—
1442	C₂⁴	—	7	4	no	—
1443	C₂⁴	—	14	4	no	—
1444	C₂⁴	—	28	2	no	—
1445	C₂⁴	—	28	2	no	—
1446	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1447	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1448	C₂×Q₈	—	4	2	no	—
1449	C₂×Q₈	—	4	2	no	—
1450	C₂×Q₈	—	4	2	no	—
1451	C₂×Q₈	—	7	4	no	—
1452	C₂×Q₈	—	7	4	no	—
1453	C₂×Q₈	—	7	4	no	—
1454	C₂×Q₈	—	7	4	no	—
1455	C₂×Q₈	—	7	4	no	—
1456	C₂×Q₈	—	7	4	no	—
1457	C₂×Q₈	—	28	2	no	—
1458	C₂×Q₈	—	28	2	no	—
1459	C₂×Q₈	—	28	2	no	—
1460	C₂×Q₈	—	28	2	no	—
1461	C₂×Q₈	—	28	2	no	—
1462	C₂×Q₈	—	28	2	no	—
1463	C₂×Q₈	C₂³×D₇	1	4	yes	—
1464	C₂×Q₈	C₂³×D₇	1	4	yes	—
1465	C₂×Q₈	C₂³×D₇	1	4	yes	—
1466	C₂×D₄	—	4	2	no	—
1467	C₂×D₄	—	7	4	no	—
1468	C₂×D₄	—	7	4	no	—
1469	C₂×D₄	—	7	4	no	—
1470	C₂×D₄	—	7	4	no	—
1471	C₂×D₄	—	7	4	no	—
1472	C₂×D₄	—	7	4	no	—
1473	C₂×D₄	—	14	4	no	—
1474	C₂×D₄	—	14	4	no	—
1475	C₂×D₄	—	28	2	no	—
1476	C₂×D₄	—	28	2	no	—
1477	C₂×D₄	—	28	2	no	—
1478	C₂×D₄	—	28	2	no	—
1479	C₂×D₄	C₂³×D₇	1	4	yes	—
1480	C₂²×C₄	—	4	2	no	—
1481	C₂²×C₄	—	4	2	no	—
1482	C₂²×C₄	—	7	1	no	—
1483	C₂²×C₄	—	7	1	no	—
1484	C₂²×C₄	—	7	1	no	—
1485	C₂²×C₄	—	7	1	no	—
1486	C₂²×C₄	—	7	1	no	—
1487	C₂²×C₄	—	7	1	no	—
1488	C₂²×C₄	—	7	1	no	—
1489	C₂²×C₄	—	7	1	no	—
1490	C₂²×C₄	—	7	1	no	—
1491	C₂²×C₄	—	7	1	no	—
1492	C₂²×C₄	—	7	1	no	—
1493	C₂²×C₄	—	7	1	no	—
1494	C₂²×C₄	—	7	1	no	—
1495	C₂²×C₄	—	7	4	no	—
1496	C₂²×C₄	—	7	4	no	—
1497	C₂²×C₄	—	7	4	no	—
1498	C₂²×C₄	—	7	4	no	—
1499	C₂²×C₄	—	7	4	no	—
1500	C₂²×C₄	—	7	4	no	—
1501	C₂²×C₄	—	7	4	no	—
1502	C₂²×C₄	—	7	4	no	—
1503	C₂²×C₄	—	7	4	no	—
1504	C₂²×C₄	—	7	4	no	—
1505	C₂²×C₄	—	7	4	no	—
1506	C₂²×C₄	—	7	4	no	—
1507	C₂²×C₄	—	7	4	no	—
1508	C₂²×C₄	—	7	4	no	—
1509	C₂²×C₄	—	14	4	no	—
1510	C₂²×C₄	—	14	4	no	—
1511	C₂²×C₄	—	28	2	no	—
1512	C₂²×C₄	—	28	2	no	—
1513	C₂²×C₄	—	28	2	no	—
1514	C₂²×C₄	—	28	2	no	—
1515	C₂²×C₄	—	28	2	no	—
1516	C₂²×C₄	—	28	2	no	—
1517	C₂²×C₄	—	28	2	no	—
1518	C₂²×C₄	—	28	2	no	—
1519	C₂²×C₄	—	28	2	no	—
1520	C₂²×C₄	—	28	2	no	—
1521	C₂²×C₄	—	28	2	no	—
1522	C₂²×C₄	—	28	2	no	—
1523	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1524	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1525	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1526	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1527	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1528	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1531	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1532	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1533	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1534	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₇	1	4	yes	—
1537	C₂²×C₄	C₂³×D₇	1	4	yes	—
1538	C₄⋊C₄	—	7	4	no	—
1539	C₄⋊C₄	—	7	4	no	—
1540	C₄⋊C₄	—	7	4	no	—
1541	C₄⋊C₄	—	7	4	no	—
1542	C₄⋊C₄	—	7	4	no	—
1543	C₄⋊C₄	—	7	4	no	—
1544	C₄⋊C₄	—	7	4	no	—
1545	C₄⋊C₄	—	7	4	no	—
1546	C₄⋊C₄	—	7	4	no	—
1547	C₄⋊C₄	—	7	4	no	—
1548	C₄⋊C₄	—	7	4	no	—
1549	C₄⋊C₄	—	7	4	no	—
1550	C₄⋊C₄	—	7	4	no	—
1551	C₄⋊C₄	—	7	4	no	—
1552	C₄⋊C₄	—	7	4	no	—
1553	C₄⋊C₄	—	7	4	no	—
1554	C₄⋊C₄	—	7	4	no	—
1555	C₄⋊C₄	—	7	4	no	—
1556	C₄⋊C₄	—	7	4	no	—
1557	C₄⋊C₄	—	7	4	no	—
1558	C₄⋊C₄	—	7	4	no	—
1559	C₄⋊C₄	—	7	4	no	—
1560	C₄⋊C₄	—	7	4	no	—
1561	C₄⋊C₄	—	7	4	no	—
1562	C₄⋊C₄	—	7	4	no	—
1563	C₄⋊C₄	—	7	4	no	—
1564	C₄⋊C₄	—	7	4	no	—
1565	C₄⋊C₄	—	7	4	no	—
1566	C₄⋊C₄	—	7	4	no	—
1567	C₄⋊C₄	—	7	4	no	—
1568	C₄⋊C₄	—	7	4	no	—
1569	C₄⋊C₄	—	7	4	no	—
1570	C₄⋊C₄	—	7	4	no	—
1571	C₄⋊C₄	—	7	4	no	—
1572	C₄⋊C₄	—	7	4	no	—
1573	C₄⋊C₄	—	7	4	no	—
1574	C₄⋊C₄	—	7	4	no	—
1575	C₄⋊C₄	—	7	4	no	—
1576	C₄⋊C₄	—	7	4	no	—
1577	C₄⋊C₄	—	7	4	no	—
1578	C₄⋊C₄	—	7	4	no	—
1579	C₄⋊C₄	—	7	4	no	—
1580	C₄⋊C₄	—	7	4	no	—
1581	C₄⋊C₄	—	7	4	no	—
1582	C₄⋊C₄	—	7	4	no	—
1583	C₄⋊C₄	—	7	4	no	—
1584	C₄⋊C₄	—	7	4	no	—
1585	C₄⋊C₄	—	7	4	no	—
1586	C₄⋊C₄	—	7	4	no	—
1587	C₄⋊C₄	—	7	4	no	—
1588	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1589	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1590	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1591	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1592	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1593	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1594	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1595	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1596	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1597	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1598	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1599	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1600	C₂²⋊C₄	—	7	4	no	—
1601	C₂²⋊C₄	—	7	4	no	—
1602	C₂²⋊C₄	—	7	4	no	—
1603	C₂²⋊C₄	—	7	4	no	—
1604	C₂²⋊C₄	—	7	4	no	—
1605	C₂²⋊C₄	—	7	4	no	—
1606	C₂²⋊C₄	—	7	4	no	—
1607	C₂²⋊C₄	—	7	4	no	—
1608	C₂²⋊C₄	—	7	4	no	—
1609	C₂²⋊C₄	—	7	4	no	—
1610	C₂²⋊C₄	—	7	4	no	—
1611	C₂²⋊C₄	—	7	4	no	—
1612	C₂²⋊C₄	—	7	4	no	—
1613	C₂²⋊C₄	—	7	4	no	—
1614	C₂²⋊C₄	—	7	4	no	—
1615	C₂²⋊C₄	—	7	4	no	—
1616	C₂²⋊C₄	—	7	4	no	—
1617	C₂²⋊C₄	—	7	4	no	—
1618	C₂²⋊C₄	—	7	4	no	—
1619	C₂²⋊C₄	—	7	4	no	—
1620	C₂²⋊C₄	—	7	4	no	—
1621	C₂²⋊C₄	—	7	4	no	—
1622	C₂²⋊C₄	—	7	4	no	—
1623	C₂²⋊C₄	—	7	4	no	—
1624	C₂²⋊C₄	—	7	4	no	—
1625	C₂²⋊C₄	—	7	4	no	—
1626	C₂²⋊C₄	—	7	4	no	—
1627	C₂²⋊C₄	—	7	4	no	—
1628	C₂²⋊C₄	—	7	4	no	—
1629	C₂²⋊C₄	—	7	4	no	—
1630	C₂²⋊C₄	—	7	4	no	—
1631	C₂²⋊C₄	—	7	4	no	—
1632	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1633	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1634	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1635	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1636	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1637	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1638	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1639	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1640	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1641	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1642	C₄²	—	7	4	no	—
1643	C₄²	—	7	4	no	—
1644	C₄²	—	7	4	no	—
1645	C₄²	—	7	4	no	—
1646	C₄²	—	7	4	no	—
1647	C₄²	—	7	4	no	—
1648	C₄²	—	7	4	no	—
1649	C₄²	—	7	4	no	—
1650	C₄²	—	7	4	no	—
1651	C₄²	—	7	4	no	—
1652	C₄²	—	7	4	no	—
1653	C₄²	C₂³×D₇	1	4	yes	—
1654	C₄²	C₂³×D₇	1	4	yes	—
1655	C₄²	C₂³×D₇	1	4	yes	—
1656	C₄²	C₂³×D₇	1	4	yes	—
1657	C₄²	C₂³×D₇	1	4	yes	—
1658	C₄²	C₂³×D₇	1	4	yes	—
1659	C₄²	C₂³×D₇	1	4	yes	—
1660	C₂×C₇	—	4	2	no	—
1661	C₂×C₇	—	4	2	no	—
1662	C₂×C₇	#3564	1	4	yes	complemented
1663	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1664	C₂×C₇	C₂×#585	1	1	yes	characteristic
1665	C₂×C₇	C₂×#585	1	1	yes	characteristic
1666	D₇	—	2	4	no	—
1667	D₇	—	4	2	no	—
1668	D₇	—	4	2	no	—
1669	C₂³	—	2	2	no	—
1670	C₂³	—	2	2	no	—
1671	C₂³	—	2	2	no	—
1672	C₂³	—	2	2	no	—
1673	C₂³	—	2	2	no	—
1674	C₂³	—	2	2	no	—
1675	C₂³	—	7	2	no	—
1676	C₂³	—	7	4	no	—
1677	C₂³	—	7	2	no	—
1678	C₂³	—	7	2	no	—
1679	C₂³	—	14	8	no	—
1680	C₂³	—	14	2	no	—
1681	C₂³	—	14	2	no	—
1682	C₂³	—	14	2	no	—
1683	C₂³	—	14	2	no	—
1684	C₂³	—	14	2	no	—
1685	C₂³	—	14	2	no	—
1686	C₂³	—	14	2	no	—
1687	C₂³	—	14	2	no	—
1688	C₂³	—	28	4	no	—
1689	C₂³	—	28	4	no	—
1690	C₂³	—	56	8	no	—
1691	C₂³	C₂⁴×D₇	1	2	yes	—
1692	C₂³	C₂⁴×D₇	1	2	yes	—
1693	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1694	Q₈	—	4	4	no	—
1695	Q₈	—	4	4	no	—
1696	Q₈	—	4	4	no	—
1697	Q₈	—	28	4	no	—
1698	Q₈	—	28	4	no	—
1699	Q₈	—	28	4	no	—
1700	Q₈	—	28	4	no	—
1701	Q₈	—	28	4	no	—
1702	Q₈	—	28	4	no	—
1703	D₄	—	4	4	no	—
1704	D₄	—	14	8	no	—
1705	D₄	—	14	8	no	—
1706	D₄	—	28	4	no	—
1707	D₄	—	28	4	no	—
1708	D₄	—	28	4	no	—
1709	D₄	—	28	4	no	—
1710	C₂×C₄	—	2	2	no	—
1711	C₂×C₄	—	2	2	no	—
1712	C₂×C₄	—	2	2	no	—
1713	C₂×C₄	—	2	2	no	—
1714	C₂×C₄	—	2	2	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	2	no	—
1722	C₂×C₄	—	2	2	no	—
1723	C₂×C₄	—	4	4	no	—
1724	C₂×C₄	—	4	4	no	—
1725	C₂×C₄	—	7	2	no	—
1726	C₂×C₄	—	7	2	no	—
1727	C₂×C₄	—	7	2	no	—
1728	C₂×C₄	—	7	2	no	—
1729	C₂×C₄	—	7	2	no	—
1730	C₂×C₄	—	7	2	no	—
1731	C₂×C₄	—	7	2	no	—
1732	C₂×C₄	—	7	2	no	—
1733	C₂×C₄	—	7	2	no	—
1734	C₂×C₄	—	7	2	no	—
1735	C₂×C₄	—	7	2	no	—
1736	C₂×C₄	—	7	2	no	—
1737	C₂×C₄	—	7	2	no	—
1738	C₂×C₄	—	14	8	no	—
1739	C₂×C₄	—	14	8	no	—
1740	C₂×C₄	—	14	2	no	—
1741	C₂×C₄	—	14	2	no	—
1742	C₂×C₄	—	14	2	no	—
1743	C₂×C₄	—	14	2	no	—
1744	C₂×C₄	—	14	2	no	—
1745	C₂×C₄	—	14	2	no	—
1746	C₂×C₄	—	14	2	no	—
1747	C₂×C₄	—	14	2	no	—
1748	C₂×C₄	—	14	2	no	—
1749	C₂×C₄	—	14	2	no	—
1750	C₂×C₄	—	14	2	no	—
1751	C₂×C₄	—	14	2	no	—
1752	C₂×C₄	—	14	2	no	—
1753	C₂×C₄	—	28	4	no	—
1754	C₂×C₄	—	28	4	no	—
1755	C₂×C₄	—	28	4	no	—
1756	C₂×C₄	—	28	4	no	—
1757	C₂×C₄	—	28	4	no	—
1758	C₂×C₄	—	28	4	no	—
1759	C₂×C₄	—	28	4	no	—
1760	C₂×C₄	—	28	4	no	—
1761	C₂×C₄	—	28	4	no	—
1762	C₂×C₄	—	28	4	no	—
1763	C₂×C₄	—	28	4	no	—
1764	C₂×C₄	—	28	4	no	—
1765	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1766	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1767	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1768	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1769	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1770	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1771	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1772	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1773	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1774	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1775	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1776	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1777	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1778	C₇	C₂×#3564	1	1	yes	characteristic, complemented, Sylow
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	2	no	—
1781	C₂²	—	2	2	no	—
1782	C₂²	—	2	2	no	—
1783	C₂²	—	2	2	no	—
1784	C₂²	—	2	2	no	—
1785	C₂²	—	4	4	no	—
1786	C₂²	—	4	4	no	—
1787	C₂²	—	7	4	no	—
1788	C₂²	—	14	2	no	—
1789	C₂²	—	14	2	no	—
1790	C₂²	—	14	8	no	—
1791	C₂²	—	14	2	no	—
1792	C₂²	—	14	2	no	—
1793	C₂²	—	14	2	no	—
1794	C₂²	—	14	2	no	—
1795	C₂²	—	14	2	no	—
1796	C₂²	—	14	2	no	—
1797	C₂²	—	28	4	no	—
1798	C₂²	—	28	4	no	—
1799	C₂²	—	56	8	no	—
1800	C₂²	#90616	1	2	yes	—
1801	C₂²	#90616	1	2	yes	—
1802	C₂²	D₇×2₋¹⁺⁴	1	2	yes	—
1803	C₂²	C₂⁵×D₇	1	1	yes	characteristic
1804	C₄	—	2	2	no	—
1805	C₄	—	2	2	no	—
1806	C₄	—	2	2	no	—
1807	C₄	—	2	2	no	—
1808	C₄	—	2	2	no	—
1809	C₄	—	2	2	no	—
1810	C₄	—	2	2	no	—
1811	C₄	—	2	2	no	—
1812	C₄	—	2	2	no	—
1813	C₄	—	2	2	no	—
1814	C₄	—	2	2	no	—
1815	C₄	—	2	2	no	—
1816	C₄	—	2	2	no	—
1817	C₄	—	14	2	no	—
1818	C₄	—	14	2	no	—
1819	C₄	—	14	2	no	—
1820	C₄	—	14	2	no	—
1821	C₄	—	14	2	no	—
1822	C₄	—	14	2	no	—
1823	C₄	—	14	2	no	—
1824	C₄	—	14	2	no	—
1825	C₄	—	14	2	no	—
1826	C₄	—	14	2	no	—
1827	C₄	—	14	2	no	—
1828	C₄	—	14	2	no	—
1829	C₄	—	14	2	no	—
1830	C₂	—	4	2	no	—
1831	C₂	—	4	2	no	—
1832	C₂	—	14	4	no	—
1833	C₂	—	28	2	no	—
1834	C₂	—	28	2	no	—
1835	C₂	#11744081	1	4	yes	direct product factor
1836	C₂	C₂×#90616	1	1	yes	characteristic
1837	C₂	C₂×#90616	1	1	yes	characteristic
1838	C₂	C₂×D₇×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇
commutator, cosocle	C₂²×C₇	C₂⁶
Frattini	C₂²	C₂⁵×D₇
Fitting	C₂×C₇×#556	C₂
socle	C₂³×C₇	C₂⁵
prime radical	C₂×#90369	C₂
hypercenter	C₂×#556	D₇
hypocenter	C₇	C₂×#3564
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₂×#556

Complements

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

N	H ≅ G/N	type
1. C₂×C₇×#556	C₂	semidirect
2. #11744081	C₂	direct (N × H)
3. C₂×#90426	C₂	semidirect
4. C₂×#90420	C₂	semidirect
5. C₂×#90399	C₂	semidirect
6. C₂×#90399	C₂	semidirect
7. C₂×#90396	C₂	semidirect
8. C₂×#90398	C₂	semidirect
9. C₂×D₇×#126	C₂	semidirect
10. C₂×#90403	C₂	semidirect
11. C₂×#90401	C₂	semidirect
12. C₂×#90392	C₂	semidirect
13. C₂×#90370	C₂	semidirect
15. C₂×#90363	C₂	semidirect
16. C₂×#90360	C₂	semidirect
17. C₂×#90325	C₂	semidirect
18. C₂×#90329	C₂	semidirect
19. C₂×#90337	C₂	semidirect
20. C₂×#90327	C₂	semidirect
21. C₂×#90270	C₂	semidirect
22. C₂×#90272	C₂	semidirect
23. C₂×#90274	C₂	semidirect
24. C₂×#90274	C₂	semidirect
25. C₂×#90269	C₂	semidirect
26. C₂×#90259	C₂	semidirect
27. C₂×#90247	C₂	semidirect
28. C₂×#90255	C₂	semidirect
29. C₂×#90218	C₂	semidirect
30. C₂×#90219	C₂	semidirect
31. C₂×#90222	C₂	semidirect
32. C₂×#90209	C₂	semidirect
33. C₇×#556	C₂²	semidirect
34. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
37. C₂×C₇×#126	C₂²	semidirect
38. C₂×C₇×#126	C₂²	semidirect
42. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
43. C₂×C₄×C₇×Q₈	C₂²	semidirect
44. C₂×C₄×C₇×Q₈	C₂²	semidirect
45. C₂×C₄×C₇×Q₈	C₂²	semidirect
48. C₂×C₇×#117	C₂²	semidirect
55. C₂×#6509	C₂²	semidirect
56. C₂×#6509	C₂²	semidirect
57. C₂×#6507	C₂²	semidirect
58. C₂×#6507	C₂²	semidirect
59. C₂×#6507	C₂²	semidirect
60. C₂×#6507	C₂²	semidirect
68. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
72. C₂²×Dic₇⋊C₄	C₂²	semidirect
73. #90426	C₂²	semidirect
74. #90420	C₂²	semidirect
75. #90403	C₂²	semidirect
76. #90401	C₂²	semidirect
77. #90399	C₂²	semidirect
78. #90399	C₂²	semidirect
79. #90398	C₂²	semidirect
80. #90396	C₂²	semidirect
81. D₇×#126	C₂²	semidirect
82. #90392	C₂²	semidirect
83. #90370	C₂²	semidirect
85. #90363	C₂²	semidirect
86. #90360	C₂²	semidirect
87. #90337	C₂²	semidirect
88. #90329	C₂²	semidirect
89. #90327	C₂²	semidirect
90. #90325	C₂²	semidirect
91. #90274	C₂²	semidirect
92. #90274	C₂²	semidirect
93. #90272	C₂²	semidirect
94. #90270	C₂²	semidirect
95. #90269	C₂²	semidirect
96. #90259	C₂²	semidirect
97. #90255	C₂²	semidirect
98. #90247	C₂²	semidirect
99. #90222	C₂²	semidirect
100. #90219	C₂²	semidirect
101. #90218	C₂²	semidirect
102. #90209	C₂²	semidirect
108. C₂×#6461	C₂²	semidirect
109. C₂×#6461	C₂²	semidirect
120. C₂×#6459	C₂²	semidirect
121. C₂×#6459	C₂²	semidirect
122. C₂×#6459	C₂²	semidirect
129. C₂×#6455	C₂²	semidirect
133. C₂×D₇×C₄⋊C₄	C₂²	semidirect
134. C₂×#6453	C₂²	semidirect
135. C₂×#6453	C₂²	semidirect
136. C₂×#6453	C₂²	semidirect
137. C₂×#6452	C₂²	semidirect
138. C₂×#6452	C₂²	semidirect
139. C₂×#6452	C₂²	semidirect
140. C₂×#6452	C₂²	semidirect
141. C₂×#6452	C₂²	semidirect
142. C₂×#6452	C₂²	semidirect
143. C₂×#6452	C₂²	semidirect
144. C₂×#6452	C₂²	semidirect
145. C₂×#6452	C₂²	semidirect
146. C₂×#6452	C₂²	semidirect
147. C₂×#6452	C₂²	semidirect
148. C₂×#6451	C₂²	semidirect
149. C₂×#6451	C₂²	semidirect
150. C₂×#6450	C₂²	semidirect
152. C₂×#6449	C₂²	semidirect
155. C₂×#6448	C₂²	semidirect
163. C₂×#6446	C₂²	semidirect
180. C₂×#6442	C₂²	semidirect
181. C₂×#6442	C₂²	semidirect
185. C₂×#6441	C₂²	semidirect
186. C₂×#6441	C₂²	semidirect
187. C₂×#6441	C₂²	semidirect
188. C₂×#6441	C₂²	semidirect
190. C₂×#6440	C₂²	semidirect
195. C₂×#6439	C₂²	semidirect
196. C₂×#6439	C₂²	semidirect
206. C₂×#6435	C₂²	semidirect
208. C₂×#6433	C₂²	semidirect
209. C₂×#6433	C₂²	semidirect
210. C₂×#6433	C₂²	semidirect
211. C₂×#6433	C₂²	semidirect
212. C₂×#6433	C₂²	semidirect
213. C₂×#6432	C₂²	semidirect
214. C₂×C₄×Dic₁₄	C₂²	semidirect
215. C₂×C₄×Dic₁₄	C₂²	semidirect
216. C₂×C₄×Dic₁₄	C₂²	semidirect
217. C₂×C₄×Dic₁₄	C₂²	semidirect
218. C₂×C₄×Dic₁₄	C₂²	semidirect
253. C₇×C₄⋊Q₈	C₂³	semidirect
256. C₇×#126	C₂³	semidirect
257. C₇×#126	C₂³	semidirect
261. C₇×C₂²⋊Q₈	C₂³	semidirect
262. C₄×C₇×Q₈	C₂³	semidirect
263. C₄×C₇×Q₈	C₂³	semidirect
264. C₄×C₇×Q₈	C₂³	semidirect
267. C₇×#117	C₂³	semidirect
311. #6509	C₂³	semidirect
312. #6509	C₂³	semidirect
313. #6507	C₂³	semidirect
314. #6507	C₂³	semidirect
315. #6507	C₂³	semidirect
316. #6507	C₂³	semidirect
324. C₄×C₂²⋊D₇	C₂³	semidirect
402. C₂×Dic₇⋊C₄	C₂³	semidirect
419. #6461	C₂³	semidirect
420. #6461	C₂³	semidirect
431. #6459	C₂³	semidirect
432. #6459	C₂³	semidirect
433. #6459	C₂³	semidirect
440. #6455	C₂³	semidirect
444. D₇×C₄⋊C₄	C₂³	semidirect
445. #6453	C₂³	semidirect
446. #6453	C₂³	semidirect
447. #6453	C₂³	semidirect
448. #6452	C₂³	semidirect
449. #6452	C₂³	semidirect
450. #6452	C₂³	semidirect
451. #6452	C₂³	semidirect
452. #6452	C₂³	semidirect
453. #6452	C₂³	semidirect
454. #6452	C₂³	semidirect
455. #6452	C₂³	semidirect
456. #6452	C₂³	semidirect
457. #6452	C₂³	semidirect
458. #6452	C₂³	semidirect
459. #6451	C₂³	semidirect
460. #6451	C₂³	semidirect
461. #6450	C₂³	semidirect
463. #6449	C₂³	semidirect
466. #6448	C₂³	semidirect
474. #6446	C₂³	semidirect
491. #6442	C₂³	semidirect
492. #6442	C₂³	semidirect
496. #6441	C₂³	semidirect
497. #6441	C₂³	semidirect
498. #6441	C₂³	semidirect
499. #6441	C₂³	semidirect
501. #6440	C₂³	semidirect
506. #6439	C₂³	semidirect
507. #6439	C₂³	semidirect
517. #6435	C₂³	semidirect
519. #6433	C₂³	semidirect
520. #6433	C₂³	semidirect
521. #6433	C₂³	semidirect
522. #6433	C₂³	semidirect
523. #6433	C₂³	semidirect
524. #6432	C₂³	semidirect
525. C₄×Dic₁₄	C₂³	semidirect
526. C₄×Dic₁₄	C₂³	semidirect
527. C₄×Dic₁₄	C₂³	semidirect
528. C₄×Dic₁₄	C₂³	semidirect
529. C₄×Dic₁₄	C₂³	semidirect
536. C₂×#556	D₇	semidirect
788. #556	C₂×D₇	semidirect
819. C₂×C₄⋊Q₈	C₂×D₇	semidirect
846. C₂×#126	C₂×D₇	semidirect
847. C₂×#126	C₂×D₇	semidirect
920. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
932. C₂×C₄×Q₈	C₂×D₇	semidirect
933. C₂×C₄×Q₈	C₂×D₇	semidirect
934. C₂×C₄×Q₈	C₂×D₇	semidirect
957. C₂×#117	C₂×D₇	semidirect
1118. C₄⋊Q₈	C₂²×D₇	semidirect
1143. #126	C₂²×D₇	semidirect
1144. #126	C₂²×D₇	semidirect
1217. C₂²⋊Q₈	C₂²×D₇	semidirect
1229. C₄×Q₈	C₂²×D₇	semidirect
1230. C₄×Q₈	C₂²×D₇	semidirect
1231. C₄×Q₈	C₂²×D₇	semidirect
1254. #117	C₂²×D₇	semidirect
1662. C₂×C₇	#3564	semidirect
1778. C₇	C₂×#3564	semidirect
1835. C₂	#11744081	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×#556	2
#11744081	2
C₂×#90426	2
C₂×#90420	2
C₂×#90399	2
C₂×#90396	2
C₂×#90398	2
C₂×D₇×#126	2
C₂×#90403	2
C₂×#90401	2
C₂×#90392	2
C₂×#90370	2
C₂×#90369	2
C₂×#90363	2
C₂×#90360	2
C₂×#90325	2
C₂×#90329	2
C₂×#90337	2
C₂×#90327	2
C₂×#90270	2
C₂×#90272	2
C₂×#90274	2
C₂×#90269	2
C₂×#90259	2
C₂×#90247	2
C₂×#90255	2
C₂×#90218	2
C₂×#90219	2
C₂×#90222	2
C₂×#90209	2
C₂×#3564	7

Subgroups — C2×#11744081 #14261189

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11744081 #14261189