Subgroups — C₂×#20257611 #27123501

Order 12032.

7962 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257611	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689870	C₂	1	2	yes	maximal, complemented
3	C₂×#15689869	C₂	1	2	yes	maximal, complemented
4	C₂×#15689834	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689828	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689782	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689779	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15689774	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15689770	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15689768	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689765	C₂	1	2	yes	maximal, complemented
12	C₂×#15689761	C₂	1	2	yes	maximal, complemented
13	C₂×#15689748	C₂	1	2	yes	maximal, complemented
14	C₂×#15689747	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689738	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15689717	C₂	1	2	yes	maximal, complemented
17	C₂×#15689709	C₂	1	2	yes	maximal, complemented
18	C₂×#15689704	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#15689702	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#15689701	C₂	1	2	yes	maximal, complemented
21	C₂×#15689632	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#13094004	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#121×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#547	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625350	C₂²	1	2	yes	complemented
26	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#10625352	C₂²	1	1	yes	characteristic, complemented
29	C₂³×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₄₇	C₂²	1	2	yes	—
31	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic
32	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic
33	#15689870	C₂²	1	32	yes	complemented
34	#15689869	C₂²	1	32	yes	complemented
35	#15689834	C₂²	1	16	yes	complemented
36	#15689828	C₂²	1	16	yes	complemented
37	#15689782	C₂²	1	16	yes	complemented
38	#15689779	C₂²	1	16	yes	complemented
39	#15689774	C₂²	1	16	yes	complemented
40	#15689770	C₂²	1	16	yes	complemented
41	#15689768	C₂²	1	16	yes	complemented
42	#15689765	C₂²	1	32	yes	complemented
43	#15689761	C₂²	1	32	yes	complemented
44	#15689748	C₂²	1	32	yes	complemented
45	#15689747	C₂²	1	16	yes	complemented
46	#15689738	C₂²	1	16	yes	complemented
47	#15689717	C₂²	1	32	yes	complemented
48	#15689709	C₂²	1	32	yes	complemented
49	#15689704	C₂²	1	16	yes	complemented
50	#15689702	C₂²	1	16	yes	complemented
51	#15689701	C₂²	1	32	yes	complemented
52	C₂×#13094023	C₂²	1	1	yes	characteristic, complemented
53	C₂×#13094019	C₂²	1	2	yes	complemented
54	C₂×#13094017	C₂²	1	2	yes	complemented
55	C₂×#13094015	C₂²	1	2	yes	complemented
56	C₂×#13094014	C₂²	1	2	yes	complemented
57	C₂×#13094013	C₂²	1	2	yes	complemented
58	C₂×#13094012	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13094011	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13094010	C₂²	1	2	yes	complemented
61	C₂×#13094010	C₂²	1	2	yes	complemented
62	C₂×#13094010	C₂²	1	2	yes	complemented
63	#15689632	C₂²	1	16	yes	complemented
64	C₂×#13094009	C₂²	1	2	yes	complemented
65	C₂×#13094009	C₂²	1	2	yes	complemented
66	C₂×#13094009	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13094008	C₂²	1	2	yes	complemented
68	C₂×#13094007	C₂²	1	2	yes	complemented
69	C₂×#13094007	C₂²	1	2	yes	complemented
70	C₂×#13094006	C₂²	1	2	yes	complemented
71	C₂×#13094006	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13094004	C₂²	1	2	yes	—
73	C₂×#13094004	C₂²	1	1	yes	characteristic
74	C₂×#13094004	C₂²	1	1	yes	characteristic
75	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13094004	C₂²	1	2	yes	complemented
77	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13094004	C₂²	1	2	yes	complemented
80	C₂×#13094004	C₂²	1	16	yes	complemented
81	C₂×#13094003	C₂²	1	2	yes	complemented
82	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13094003	C₂²	1	2	yes	complemented
84	C₂×#13094002	C₂²	1	1	yes	characteristic
85	C₂×#13094002	C₂²	1	2	yes	—
86	C₂×#13094002	C₂²	1	2	yes	complemented
87	C₂×#13094002	C₂²	1	2	yes	complemented
88	C₂×#13094001	C₂²	1	2	yes	complemented
89	C₂×#13094001	C₂²	1	2	yes	complemented
90	C₂×#13094001	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13094000	C₂²	1	2	yes	—
92	C₂×#13094000	C₂²	1	2	yes	complemented
93	C₂×#13094000	C₂²	1	2	yes	complemented
94	C₂×#13093999	C₂²	1	1	yes	characteristic
95	C₂×#13093999	C₂²	1	2	yes	complemented
96	C₂×#13093999	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13093998	C₂²	1	1	yes	characteristic
98	C₂×#13093998	C₂²	1	2	yes	complemented
99	C₂×#13093998	C₂²	1	2	yes	complemented
100	C₂×#13093998	C₂²	1	2	yes	complemented
101	C₂×#13093997	C₂²	1	2	yes	—
102	C₂×#13093997	C₂²	1	1	yes	characteristic
103	C₂×#13093997	C₂²	1	2	yes	complemented
104	C₂×#13093996	C₂²	1	2	yes	—
105	C₂×#13093996	C₂²	1	2	yes	complemented
106	C₂×#13093996	C₂²	1	2	yes	complemented
107	C₂×#13093996	C₂²	1	2	yes	complemented
108	C₂×#13093996	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13093995	C₂²	1	1	yes	characteristic
110	C₂×#13093995	C₂²	1	2	yes	complemented
111	C₂×#13093995	C₂²	1	2	yes	complemented
112	#121×D₄₇	C₂²	1	16	yes	complemented
113	C₂×#13093994	C₂²	1	1	yes	characteristic
114	C₂×#13093994	C₂²	1	2	yes	—
115	C₂×#13093992	C₂²	1	1	yes	characteristic
116	C₂×#13093992	C₂²	1	2	yes	—
117	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13093989	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
120	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
121	C₂×#13093986	C₂²	1	2	yes	—
122	C₂×#13093986	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
124	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
125	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
127	C₂×#13093981	C₂²	1	1	yes	characteristic, complemented
128	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
129	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
130	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
132	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	—
134	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	—
135	C₂²×#41×C₄₇	C₂²	1	2	yes	complemented
136	C₄₇×#547	C₂²	1	16	yes	complemented
137	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
138	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
139	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
140	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	complemented
141	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
142	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
145	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
148	C₂⁴×D₄₇	C₂³	1	2	yes	—
149	C₂×#10625350	—	4	4	no	—
150	C₂×#10625350	—	4	4	no	—
151	C₂×#10625350	—	4	8	no	—
152	C₂×#10625350	C₂³	1	16	yes	complemented
153	C₂×#10625350	C₂³	1	8	yes	complemented
154	C₂×#10625350	C₂³	1	8	yes	complemented
155	C₂×#10625352	—	4	4	no	—
156	C₂×#10625352	C₂³	1	8	yes	complemented
157	C₂²×Dic₉₄	—	4	4	no	—
158	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
159	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
160	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
161	C₂²×Dic₉₄	C₂³	1	2	yes	—
162	C₂²×Dic₉₄	C₂³	1	2	yes	—
163	C₂²×Dic₉₄	C₂³	1	8	yes	complemented
164	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
165	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
166	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
167	C₂²×D₁₈₈	C₂³	1	2	yes	—
168	C₂²×D₁₈₈	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
171	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
172	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
174	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
177	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
178	C₂×D₄×D₄₇	—	4	4	no	—
179	C₂×D₄×D₄₇	—	4	8	no	—
180	C₂×D₄×D₄₇	C₂³	1	16	yes	—
181	C₂×D₄×D₄₇	C₂³	1	8	yes	—
182	C₂³×Dic₄₇	C₂³	1	2	yes	—
183	C₂³×Dic₄₇	C₂³	1	2	yes	—
184	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₄₇	—	4	4	no	—
186	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
191	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
192	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
193	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
194	C₂²×C₄×D₄₇	C₂³	1	8	yes	—
195	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
196	#13094023	C₂³	1	8	yes	complemented
197	#13094019	C₂³	1	16	yes	complemented
198	#13094017	C₂³	1	16	yes	complemented
199	#13094015	C₂³	1	16	yes	complemented
200	#13094014	C₂³	1	16	yes	complemented
201	#13094013	C₂³	1	16	yes	complemented
202	#13094012	C₂³	1	8	yes	complemented
203	#13094011	C₂³	1	8	yes	complemented
204	#13094010	C₂³	1	16	yes	complemented
205	#13094010	C₂³	1	16	yes	complemented
206	#13094010	C₂³	1	16	yes	complemented
207	#13094009	C₂³	1	16	yes	complemented
208	#13094009	C₂³	1	16	yes	complemented
209	#13094009	C₂³	1	8	yes	complemented
210	#13094008	C₂³	1	16	yes	complemented
211	#13094007	C₂³	1	16	yes	complemented
212	#13094007	C₂³	1	16	yes	complemented
213	#13094006	C₂³	1	16	yes	complemented
214	#13094006	C₂³	1	8	yes	complemented
215	#13094004	C₂³	1	16	yes	—
216	#13094004	C₂³	1	8	yes	—
217	#13094004	C₂³	1	8	yes	—
218	#13094004	C₂³	1	8	yes	complemented
219	#13094004	C₂³	1	8	yes	complemented
220	#13094004	C₂³	1	16	yes	complemented
221	#13094004	C₂³	1	8	yes	complemented
222	#13094004	C₂³	1	16	yes	complemented
223	#13094003	C₂³	1	16	yes	complemented
224	#13094003	C₂³	1	8	yes	complemented
225	#13094003	C₂³	1	16	yes	complemented
226	#13094002	C₂³	1	8	yes	—
227	#13094002	C₂³	1	16	yes	—
228	#13094002	C₂³	1	16	yes	complemented
229	#13094002	C₂³	1	16	yes	complemented
230	#13094001	C₂³	1	16	yes	complemented
231	#13094001	C₂³	1	16	yes	complemented
232	#13094001	C₂³	1	8	yes	complemented
233	#13094000	C₂³	1	16	yes	—
234	#13094000	C₂³	1	16	yes	complemented
235	#13094000	C₂³	1	16	yes	complemented
236	#13093999	C₂³	1	8	yes	—
237	#13093999	C₂³	1	16	yes	complemented
238	#13093999	C₂³	1	8	yes	complemented
239	#13093998	C₂³	1	8	yes	—
240	#13093998	C₂³	1	16	yes	complemented
241	#13093998	C₂³	1	16	yes	complemented
242	#13093998	C₂³	1	16	yes	complemented
243	#13093997	C₂³	1	16	yes	—
244	#13093997	C₂³	1	8	yes	—
245	#13093997	C₂³	1	16	yes	complemented
246	#13093996	C₂³	1	16	yes	—
247	#13093996	C₂³	1	16	yes	complemented
248	#13093996	C₂³	1	16	yes	complemented
249	#13093996	C₂³	1	16	yes	complemented
250	#13093996	C₂³	1	8	yes	complemented
251	#13093995	C₂³	1	8	yes	—
252	#13093995	C₂³	1	16	yes	complemented
253	#13093995	C₂³	1	16	yes	complemented
254	#13093994	C₂³	1	8	yes	—
255	#13093994	C₂³	1	16	yes	—
256	#13093992	C₂³	1	8	yes	—
257	#13093992	C₂³	1	16	yes	—
258	C₄×Dic₉₄	C₂³	1	8	yes	complemented
259	#13093989	C₂³	1	8	yes	complemented
260	C₄×D₁₈₈	C₂³	1	8	yes	—
261	D₄×Dic₄₇	C₂³	1	16	yes	complemented
262	#13093986	C₂³	1	16	yes	—
263	#13093986	C₂³	1	8	yes	complemented
264	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
265	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
266	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
267	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
268	#13093981	C₂³	1	8	yes	complemented
269	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
271	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
272	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
273	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
274	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₄₇	C₂³	1	16	yes	complemented
277	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
282	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
284	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
286	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
287	C₄⋊C₄×D₄₇	C₂³	1	8	yes	—
288	C₄⋊C₄×D₄₇	C₂³	1	8	yes	complemented
289	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
291	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
293	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	yes	—
296	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	yes	—
297	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
310	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
312	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
313	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
314	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	—
315	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	—
316	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
318	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
319	C₂×#41×C₄₇	—	4	8	no	—
320	C₂×#41×C₄₇	C₂³	1	16	yes	complemented
321	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
322	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
325	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
326	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
329	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
330	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
331	C₄⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
332	#123×C₄₇	C₂³	1	16	yes	complemented
333	#123×C₄₇	C₂³	1	16	yes	complemented
334	C₂²⋊Q₈×C₄₇	C₂³	1	16	yes	complemented
335	#121×C₄₇	C₂³	1	8	yes	—
336	#121×C₄₇	C₂³	1	8	yes	complemented
337	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
338	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
344	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
346	C₂×C₄⋊C₄×C₄₇	C₂³	1	8	yes	complemented
347	C₂×C₄⋊C₄×C₄₇	C₂³	1	8	yes	complemented
348	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
350	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
352	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
353	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
354	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
355	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
357	C₂³×D₄₇	—	2	4	no	—
358	C₂³×D₄₇	—	2	4	no	—
359	C₂³×D₄₇	—	2	8	no	—
360	C₂³×D₄₇	—	4	2	no	—
361	C₂³×D₄₇	—	4	4	no	—
362	C₂³×D₄₇	—	4	4	no	—
363	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
364	C₂³×D₄₇	C₂⁴	1	2	yes	—
365	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
366	C₂³×D₄₇	C₂⁴	1	4	yes	—
367	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
368	C₂³×D₄₇	C₂⁴	1	8	yes	—
369	#41×C₄₇	—	4	32	no	—
370	C₂×Q₈×C₄₇	—	4	4	no	—
371	C₂×Q₈×C₄₇	C₂⁴	1	8	yes	—
372	C₂×D₄×C₄₇	—	2	4	no	—
373	C₂×D₄×C₄₇	—	2	8	no	—
374	C₂×D₄×C₄₇	—	2	4	no	—
375	C₂×D₄×C₄₇	—	4	4	no	—
376	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
377	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
378	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
379	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
380	C₂²×C₄×C₄₇	—	2	8	no	—
381	C₂²×C₄×C₄₇	—	2	4	no	—
382	C₂²×C₄×C₄₇	—	2	4	no	—
383	C₂²×C₄×C₄₇	—	4	4	no	—
384	C₂²×C₄×C₄₇	—	4	4	no	—
385	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
390	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
394	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
395	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
397	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
398	C₂×C₂²⋊D₄₇	—	2	8	no	—
399	C₂×C₂²⋊D₄₇	—	2	4	no	—
400	C₂×C₂²⋊D₄₇	—	2	4	no	—
401	C₂×C₂²⋊D₄₇	—	4	4	no	—
402	C₂×C₂²⋊D₄₇	—	4	4	no	—
403	C₂×C₂²⋊D₄₇	—	4	4	no	—
404	C₂×C₂²⋊D₄₇	—	4	4	no	—
405	C₂×C₂²⋊D₄₇	—	4	2	no	—
406	C₂×C₂²⋊D₄₇	—	4	2	no	—
407	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
409	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
412	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
414	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
415	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
416	C₂²×Dic₄₇	—	4	2	no	—
417	C₂²×Dic₄₇	—	4	4	no	—
418	C₂²×Dic₄₇	—	4	4	no	—
419	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
421	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
422	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
424	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
428	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
429	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
430	#10625352	—	4	16	no	—
431	D₄×D₄₇	—	4	16	no	—
432	D₄×D₄₇	—	4	32	no	—
433	#10625350	—	4	16	no	—
434	#10625350	—	4	16	no	—
435	#10625350	—	4	32	no	—
436	C₂×D₁₈₈	—	2	4	no	—
437	C₂×D₁₈₈	—	2	4	no	—
438	C₂×D₁₈₈	—	4	4	no	—
439	C₂×D₁₈₈	—	4	2	no	—
440	C₂×D₁₈₈	—	4	4	no	—
441	C₂×D₁₈₈	C₂⁴	1	4	yes	—
442	C₂×D₁₈₈	C₂⁴	1	4	yes	—
443	C₂×D₁₈₈	C₂⁴	1	4	yes	—
444	C₂×D₁₈₈	C₂⁴	1	8	yes	—
445	C₂×D₁₈₈	C₂⁴	1	8	yes	—
446	C₂×C₄×D₄₇	—	2	4	no	—
447	C₂×C₄×D₄₇	—	2	4	no	—
448	C₂×C₄×D₄₇	—	2	4	no	—
449	C₂×C₄×D₄₇	—	4	16	no	—
450	C₂×C₄×D₄₇	—	4	2	no	—
451	C₂×C₄×D₄₇	—	4	2	no	—
452	C₂×C₄×D₄₇	—	4	4	no	—
453	C₂×C₄×D₄₇	—	4	4	no	—
454	C₂×C₄×D₄₇	—	4	4	no	—
455	C₂×C₄×D₄₇	—	4	4	no	—
456	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
457	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
458	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
459	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
460	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
461	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
462	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
463	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
464	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
465	C₂×Dic₉₄	—	2	4	no	—
466	C₂×Dic₉₄	—	2	4	no	—
467	C₂×Dic₉₄	—	4	16	no	—
468	C₂×Dic₉₄	—	4	4	no	—
469	C₂×Dic₉₄	—	4	4	no	—
470	C₂×Dic₉₄	—	4	2	no	—
471	C₂×Dic₉₄	C₂⁴	1	4	yes	—
472	C₂×Dic₉₄	C₂⁴	1	4	yes	—
473	C₂×Dic₉₄	C₂⁴	1	4	yes	—
474	C₂×Dic₉₄	C₂⁴	1	8	yes	—
475	C₂×Dic₉₄	C₂⁴	1	8	yes	—
476	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
477	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
478	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
479	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
480	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
481	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
482	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
483	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
484	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
485	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
486	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
487	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
488	C₄²×C₄₇	C₂⁴	1	4	yes	—
489	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
490	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
491	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
492	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
493	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
494	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
495	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
496	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
497	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
498	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
499	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
500	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
501	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
502	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
503	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
504	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
505	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
506	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
507	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
508	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
509	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
510	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
511	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
512	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
513	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
514	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
515	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
516	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
517	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
518	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
519	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
520	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
521	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
522	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
523	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
524	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
525	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
526	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
527	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
528	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
529	C₄×Dic₄₇	C₂⁴	1	4	yes	—
530	C₄×Dic₄₇	C₂⁴	1	8	yes	—
531	C₄×Dic₄₇	C₂⁴	1	8	yes	—
532	C₂³×C₄₇	—	2	2	no	—
533	C₂³×C₄₇	—	2	2	no	—
534	C₂³×C₄₇	—	2	4	no	—
535	C₂³×C₄₇	—	2	2	no	—
536	C₂³×C₄₇	—	2	4	no	—
537	C₂³×C₄₇	—	2	2	no	—
538	C₂³×C₄₇	—	2	2	no	—
539	C₂³×C₄₇	—	2	4	no	—
540	C₂³×C₄₇	H(5,𝔽₂)	1	4	yes	—
541	C₂³×C₄₇	C₂⁵	1	4	yes	—
542	C₂³×C₄₇	C₂⁵	1	2	yes	—
543	C₂³×C₄₇	C₂⁵	1	2	yes	—
544	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
545	C₂²×D₄₇	—	2	2	no	—
546	C₂²×D₄₇	—	2	2	no	—
547	C₂²×D₄₇	—	2	2	no	—
548	C₂²×D₄₇	—	2	2	no	—
549	C₂²×D₄₇	—	2	2	no	—
550	C₂²×D₄₇	—	2	4	no	—
551	C₂²×D₄₇	—	2	4	no	—
552	C₂²×D₄₇	—	2	2	no	—
553	C₂²×D₄₇	—	2	8	no	—
554	C₂²×D₄₇	—	2	2	no	—
555	C₂²×D₄₇	—	2	2	no	—
556	C₂²×D₄₇	—	2	4	no	—
557	C₂²×D₄₇	—	2	8	no	—
558	C₂²×D₄₇	—	2	16	no	—
559	C₂²×D₄₇	—	4	4	no	—
560	C₂²×D₄₇	—	4	8	no	—
561	C₂²×D₄₇	—	4	8	no	—
562	C₂²×D₄₇	—	4	16	no	—
563	C₂²×D₄₇	—	8	16	no	—
564	C₂²×D₄₇	2₋¹⁺⁴	1	4	yes	—
565	C₂²×D₄₇	C₂⁵	1	2	yes	—
566	C₂²×D₄₇	C₂⁵	1	4	yes	—
567	C₂²×D₄₇	C₂⁵	1	2	yes	—
568	C₂²×D₄₇	C₂⁵	1	2	yes	—
569	Q₈×C₄₇	—	4	8	no	—
570	D₄×C₄₇	—	2	16	no	—
571	D₄×C₄₇	—	2	8	no	—
572	D₄×C₄₇	—	2	8	no	—
573	D₄×C₄₇	—	4	8	no	—
574	C₂×C₄×C₄₇	—	2	2	no	—
575	C₂×C₄×C₄₇	—	2	2	no	—
576	C₂×C₄×C₄₇	—	2	4	no	—
577	C₂×C₄×C₄₇	—	2	4	no	—
578	C₂×C₄×C₄₇	—	2	4	no	—
579	C₂×C₄×C₄₇	—	2	16	no	—
580	C₂×C₄×C₄₇	—	2	2	no	—
581	C₂×C₄×C₄₇	—	2	2	no	—
582	C₂×C₄×C₄₇	—	2	8	no	—
583	C₂×C₄×C₄₇	—	2	8	no	—
584	C₂×C₄×C₄₇	—	4	8	no	—
585	C₂×C₄×C₄₇	—	4	8	no	—
586	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
587	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
588	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
589	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
590	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
591	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
592	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
593	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
594	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
595	C₂²⋊D₄₇	—	2	8	no	—
596	C₂²⋊D₄₇	—	2	16	no	—
597	C₂²⋊D₄₇	—	2	8	no	—
598	C₂²⋊D₄₇	—	4	8	no	—
599	C₂²⋊D₄₇	—	4	4	no	—
600	C₂²⋊D₄₇	—	4	4	no	—
601	C₂²⋊D₄₇	—	4	8	no	—
602	C₂²⋊D₄₇	—	4	8	no	—
603	C₂²⋊D₄₇	—	4	8	no	—
604	C₂×Dic₄₇	—	2	4	no	—
605	C₂×Dic₄₇	—	2	4	no	—
606	C₂×Dic₄₇	—	2	2	no	—
607	C₂×Dic₄₇	—	2	2	no	—
608	C₂×Dic₄₇	—	2	2	no	—
609	C₂×Dic₄₇	—	2	4	no	—
610	C₂×Dic₄₇	—	2	2	no	—
611	C₂×Dic₄₇	—	2	2	no	—
612	C₂×Dic₄₇	—	4	8	no	—
613	C₂×Dic₄₇	—	4	4	no	—
614	C₂×Dic₄₇	—	4	8	no	—
615	C₂×Dic₄₇	C₂⁵	1	2	yes	—
616	C₂×Dic₄₇	C₂⁵	1	4	yes	—
617	C₂×Dic₄₇	C₂⁵	1	2	yes	—
618	C₂×Dic₄₇	C₂⁵	1	4	yes	—
619	C₂×Dic₄₇	C₂⁵	1	4	yes	—
620	C₂×Dic₄₇	C₂⁵	1	2	yes	—
621	C₂×Dic₄₇	C₂⁵	1	2	yes	—
622	C₂×Dic₄₇	C₂⁵	1	2	yes	—
623	D₁₈₈	—	2	8	no	—
624	D₁₈₈	—	2	8	no	—
625	D₁₈₈	—	4	4	no	—
626	D₁₈₈	—	4	8	no	—
627	D₁₈₈	—	4	8	no	—
628	C₄×D₄₇	—	2	8	no	—
629	C₄×D₄₇	—	2	8	no	—
630	C₄×D₄₇	—	2	8	no	—
631	C₄×D₄₇	—	4	4	no	—
632	C₄×D₄₇	—	4	4	no	—
633	C₄×D₄₇	—	4	8	no	—
634	C₄×D₄₇	—	4	8	no	—
635	C₄×D₄₇	—	4	8	no	—
636	C₄×D₄₇	—	4	8	no	—
637	Dic₉₄	—	2	8	no	—
638	Dic₉₄	—	2	8	no	—
639	Dic₉₄	—	4	8	no	—
640	Dic₉₄	—	4	8	no	—
641	Dic₉₄	—	4	4	no	—
642	C₂×#3536	—	47	1	no	maximal, Sylow
643	C₂²×C₄₇	—	2	2	no	—
644	C₂²×C₄₇	—	2	2	no	—
645	C₂²×C₄₇	—	2	8	no	—
646	C₂²×C₄₇	—	2	4	no	—
647	C₂²×C₄₇	—	2	2	no	—
648	C₂²×C₄₇	—	2	4	no	—
649	C₂²×C₄₇	—	2	2	no	—
650	C₂²×C₄₇	—	2	2	no	—
651	C₂²×C₄₇	—	2	4	no	—
652	C₂²×C₄₇	—	4	8	no	—
653	C₂²×C₄₇	—	4	4	no	—
654	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
655	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
656	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
657	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
658	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
659	C₂×D₄₇	—	2	2	no	—
660	C₂×D₄₇	—	2	2	no	—
661	C₂×D₄₇	—	2	8	no	—
662	C₂×D₄₇	—	2	2	no	—
663	C₂×D₄₇	—	2	2	no	—
664	C₂×D₄₇	—	2	2	no	—
665	C₂×D₄₇	—	2	4	no	—
666	C₂×D₄₇	—	2	4	no	—
667	C₂×D₄₇	—	2	2	no	—
668	C₂×D₄₇	—	2	2	no	—
669	C₂×D₄₇	—	2	2	no	—
670	C₂×D₄₇	—	2	4	no	—
671	C₂×D₄₇	—	4	16	no	—
672	C₂×D₄₇	—	4	4	no	—
673	C₂×D₄₇	—	4	4	no	—
674	C₂×D₄₇	—	4	8	no	—
675	C₂×D₄₇	—	8	16	no	—
676	C₂×D₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
677	C₄×C₄₇	—	2	2	no	—
678	C₄×C₄₇	—	2	2	no	—
679	C₄×C₄₇	—	2	4	no	—
680	C₄×C₄₇	—	2	4	no	—
681	C₄×C₄₇	—	2	4	no	—
682	C₄×C₄₇	—	2	2	no	—
683	C₄×C₄₇	—	2	2	no	—
684	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
685	Dic₄₇	—	2	4	no	—
686	Dic₄₇	—	2	4	no	—
687	Dic₄₇	—	2	2	no	—
688	Dic₄₇	—	2	2	no	—
689	Dic₄₇	—	2	2	no	—
690	Dic₄₇	—	2	4	no	—
691	Dic₄₇	—	2	2	no	—
692	Dic₄₇	—	2	2	no	—
693	#3536	—	47	32	no	—
694	C₂×#562	—	47	2	no	—
695	C₂×#562	—	47	2	no	—
696	C₂×#554	—	47	1	no	—
697	C₂×#554	—	47	1	no	—
698	C₂×#548	—	47	1	no	—
699	C₂×#548	—	47	1	no	—
700	C₂×#547	—	47	1	no	—
701	C₂×#547	D₄₇	1	1	yes	characteristic, complemented
702	C₂×#546	—	47	2	no	—
703	C₂×#546	—	47	2	no	—
704	C₂×#546	—	47	1	no	—
705	C₂×#546	—	47	1	no	—
706	C₂×#543	—	47	2	no	—
707	C₂×#542	—	47	1	no	—
708	C₂×#542	—	47	1	no	—
709	C₂×#539	—	47	2	no	—
710	C₂×#538	—	47	2	no	—
711	C₂×#537	—	47	2	no	—
712	C₂×#537	—	47	1	no	—
713	C₂×#537	—	47	1	no	—
714	C₂×#525	—	47	1	no	—
715	C₂²×C₂²⋊Q₈	—	47	1	no	—
716	C₂²×#121	—	47	1	no	—
717	C₂×C₄₇	—	2	4	no	—
718	C₂×C₄₇	—	4	4	no	—
719	C₂×C₄₇	—	4	2	no	—
720	C₂×C₄₇	#3536	1	4	yes	complemented
721	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
722	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
723	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
724	D₄₇	—	2	4	no	—
725	D₄₇	—	4	2	no	—
726	D₄₇	—	4	2	no	—
727	D₄₇	—	4	4	no	—
728	C₂²×#41	—	47	1	no	—
729	C₂²×#41	—	47	1	no	—
730	C₂²×#41	—	47	2	no	—
731	C₂²×#41	—	47	1	no	—
732	C₂²×#41	C₂×D₄₇	1	2	yes	complemented
733	C₂³×Q₈	—	47	1	no	—
734	C₂³×D₄	—	47	1	no	—
735	C₂³×D₄	—	47	2	no	—
736	C₂⁴×C₄	—	47	1	no	—
737	#562	—	47	32	no	—
738	#562	—	47	32	no	—
739	#554	—	47	16	no	—
740	#554	—	47	16	no	—
741	#548	—	47	16	no	—
742	#548	—	47	16	no	—
743	#547	—	47	16	no	—
744	#547	C₂×D₄₇	1	16	yes	complemented
745	#546	—	47	32	no	—
746	#546	—	47	32	no	—
747	#546	—	47	16	no	—
748	#546	—	47	16	no	—
749	#543	—	47	32	no	—
750	#542	—	47	16	no	—
751	#542	—	47	16	no	—
752	#539	—	47	32	no	—
753	#538	—	47	32	no	—
754	#537	—	47	32	no	—
755	#537	—	47	16	no	—
756	#537	—	47	16	no	—
757	C₂×C₄⋊Q₈	—	47	1	no	—
758	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
759	C₂×#126	—	47	2	no	—
760	C₂×#126	—	47	2	no	—
761	C₂×#125	—	47	2	no	—
762	C₂×#125	—	47	2	no	—
763	C₂×#124	—	47	2	no	—
764	C₂×#124	—	47	1	no	—
765	C₂×#124	—	47	2	no	—
766	C₂×#124	—	47	2	no	—
767	C₂×#124	—	47	2	no	—
768	C₂×#124	—	47	1	no	—
769	#525	—	47	16	no	—
770	C₂×#123	—	47	2	no	—
771	C₂×#123	—	47	2	no	—
772	C₂×#123	—	47	1	no	—
773	C₂×#123	—	47	2	no	—
774	C₂×#123	—	47	2	no	—
775	C₂×#123	—	47	1	no	—
776	C₂×#123	—	47	2	no	—
777	C₂×#123	—	47	2	no	—
778	C₂×#123	C₂×D₄₇	1	2	yes	complemented
779	C₂×#123	C₂×D₄₇	1	2	yes	complemented
780	C₂×C₂²⋊Q₈	—	47	2	no	—
781	C₂×C₂²⋊Q₈	—	47	2	no	—
782	C₂×C₂²⋊Q₈	—	47	2	no	—
783	C₂×C₂²⋊Q₈	—	47	2	no	—
784	C₂×C₂²⋊Q₈	—	47	1	no	—
785	C₂×C₂²⋊Q₈	—	47	2	no	—
786	C₂×C₂²⋊Q₈	—	47	1	no	—
787	C₂×C₂²⋊Q₈	—	47	1	no	—
788	C₂×C₂²⋊Q₈	—	47	2	no	—
789	C₂×C₂²⋊Q₈	—	47	1	no	—
790	C₂×C₂²⋊Q₈	—	47	1	no	—
791	C₂×C₂²⋊Q₈	—	47	2	no	—
792	C₂×C₂²⋊Q₈	—	47	1	no	—
793	C₂×C₂²⋊Q₈	—	47	2	no	—
794	C₂×C₂²⋊Q₈	—	47	1	no	—
795	C₂×C₂²⋊Q₈	—	47	2	no	—
796	C₂×C₂²⋊Q₈	—	47	2	no	—
797	C₂×C₂²⋊Q₈	—	47	2	no	—
798	C₂×C₂²⋊Q₈	—	47	16	no	—
799	C₂×C₂²⋊Q₈	—	47	1	no	—
800	C₂×C₂²⋊Q₈	—	47	2	no	—
801	C₂×C₂²⋊Q₈	—	47	2	no	—
802	C₂×C₂²⋊Q₈	C₂×D₄₇	1	2	yes	complemented
803	C₂×#121	—	47	2	no	—
804	C₂×#121	—	47	1	no	—
805	C₂×#121	—	47	1	no	—
806	C₂×#121	—	47	2	no	—
807	C₂×#121	—	47	2	no	—
808	C₂×#121	—	47	2	no	—
809	C₂×#121	—	47	2	no	—
810	C₂×#121	—	47	2	no	—
811	C₂×#121	—	47	1	no	—
812	C₂×#121	—	47	2	no	—
813	C₂×#121	—	47	2	no	—
814	C₂×#121	—	47	2	no	—
815	C₂×#121	—	47	16	no	—
816	C₂×#121	—	47	1	no	—
817	C₂×#121	—	47	1	no	—
818	C₂×#121	—	47	2	no	—
819	C₂×#121	—	47	2	no	—
820	C₂×#121	—	47	1	no	—
821	C₂×#121	—	47	2	no	—
822	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
823	C₂×#121	C₂×D₄₇	1	1	yes	characteristic, complemented
824	C₂×#120	—	47	1	no	—
825	C₂×#120	—	47	2	no	—
826	C₂×#120	—	47	1	no	—
827	C₂×#120	—	47	2	no	—
828	C₂×C₄×Q₈	—	47	1	no	—
829	C₂×C₄×Q₈	—	47	1	no	—
830	C₂×C₄×D₄	—	47	2	no	—
831	C₂×C₄×D₄	—	47	1	no	—
832	C₂×C₄×D₄	—	47	1	no	—
833	C₂×C₄×D₄	—	47	2	no	—
834	C₂×C₄×D₄	—	47	2	no	—
835	C₂×C₄×D₄	—	47	1	no	—
836	C₂×C₄×D₄	—	47	2	no	—
837	C₂×C₄×D₄	—	47	1	no	—
838	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
839	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
840	C₂×#117	—	47	1	no	—
841	C₂²×C₄⋊C₄	—	47	2	no	—
842	C₂²×C₄⋊C₄	—	47	1	no	—
843	C₂²×C₄⋊C₄	—	47	1	no	—
844	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic, complemented
845	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic, complemented
846	C₂²×C₂²⋊C₄	—	47	2	no	—
847	C₂²×C₂²⋊C₄	—	47	2	no	—
848	C₂²×C₂²⋊C₄	—	47	2	no	—
849	C₂²×C₂²⋊C₄	—	47	2	no	—
850	C₄₇	C₂×#3536	1	1	yes	characteristic, complemented, Sylow
851	C₂⁵	—	47	1	no	—
852	C₂⁵	—	47	2	no	—
853	C₂×#41	—	4	8	no	—
854	C₂×#41	—	47	8	no	—
855	C₂×#41	—	47	8	no	—
856	C₂×#41	—	47	16	no	—
857	C₂×#41	—	47	8	no	—
858	C₂×#41	—	188	4	no	—
859	C₂×#41	—	188	8	no	—
860	C₂×#41	—	188	4	no	—
861	C₂×#41	—	188	4	no	—
862	C₂×#41	C₂²×D₄₇	1	16	yes	complemented
863	C₂²×Q₈	—	47	1	no	—
864	C₂²×Q₈	—	47	1	no	—
865	C₂²×Q₈	—	47	1	no	—
866	C₂²×Q₈	—	47	2	no	—
867	C₂²×Q₈	—	47	2	no	—
868	C₂²×Q₈	—	47	8	no	—
869	C₂²×Q₈	—	188	4	no	—
870	C₂²×Q₈	C₂²×D₄₇	1	2	yes	—
871	C₂²×D₄	—	47	1	no	—
872	C₂²×D₄	—	47	1	no	—
873	C₂²×D₄	—	47	2	no	—
874	C₂²×D₄	—	47	1	no	—
875	C₂²×D₄	—	47	2	no	—
876	C₂²×D₄	—	47	2	no	—
877	C₂²×D₄	—	47	1	no	—
878	C₂²×D₄	—	47	2	no	—
879	C₂²×D₄	—	47	2	no	—
880	C₂²×D₄	—	47	8	no	—
881	C₂²×D₄	—	47	16	no	—
882	C₂²×D₄	—	47	1	no	—
883	C₂²×D₄	—	47	1	no	—
884	C₂²×D₄	—	47	2	no	—
885	C₂²×D₄	—	47	1	no	—
886	C₂²×D₄	—	47	2	no	—
887	C₂²×D₄	—	188	4	no	—
888	C₂²×D₄	—	188	8	no	—
889	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
890	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
891	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
892	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
893	C₂³×C₄	—	47	2	no	—
894	C₂³×C₄	—	47	2	no	—
895	C₂³×C₄	—	47	1	no	—
896	C₂³×C₄	—	47	1	no	—
897	C₂³×C₄	—	47	1	no	—
898	C₂³×C₄	—	47	1	no	—
899	C₂³×C₄	—	47	1	no	—
900	C₂³×C₄	—	47	2	no	—
901	C₂³×C₄	—	47	2	no	—
902	C₂³×C₄	—	47	2	no	—
903	C₂³×C₄	—	47	2	no	—
904	C₂³×C₄	—	47	1	no	—
905	C₂³×C₄	—	47	8	no	—
906	C₂³×C₄	—	188	4	no	—
907	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
908	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
909	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
910	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
911	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
912	C₄⋊Q₈	—	47	8	no	—
913	C₄⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
914	#126	—	47	16	no	—
915	#126	—	47	16	no	—
916	#125	—	47	16	no	—
917	#125	—	47	16	no	—
918	#124	—	47	16	no	—
919	#124	—	47	8	no	—
920	#124	—	47	16	no	—
921	#124	—	47	16	no	—
922	#124	—	47	16	no	—
923	#124	—	47	8	no	—
924	#123	—	47	16	no	—
925	#123	—	47	16	no	—
926	#123	—	47	8	no	—
927	#123	—	47	16	no	—
928	#123	—	47	16	no	—
929	#123	—	47	8	no	—
930	#123	—	47	16	no	—
931	#123	—	47	16	no	—
932	#123	C₂²×D₄₇	1	16	yes	complemented
933	#123	C₂²×D₄₇	1	16	yes	complemented
934	C₂²⋊Q₈	—	47	16	no	—
935	C₂²⋊Q₈	—	47	16	no	—
936	C₂²⋊Q₈	—	47	16	no	—
937	C₂²⋊Q₈	—	47	16	no	—
938	C₂²⋊Q₈	—	47	8	no	—
939	C₂²⋊Q₈	—	47	16	no	—
940	C₂²⋊Q₈	—	47	8	no	—
941	C₂²⋊Q₈	—	47	8	no	—
942	C₂²⋊Q₈	—	47	16	no	—
943	C₂²⋊Q₈	—	47	8	no	—
944	C₂²⋊Q₈	—	47	8	no	—
945	C₂²⋊Q₈	—	47	16	no	—
946	C₂²⋊Q₈	—	47	8	no	—
947	C₂²⋊Q₈	—	47	16	no	—
948	C₂²⋊Q₈	—	47	8	no	—
949	C₂²⋊Q₈	—	47	16	no	—
950	C₂²⋊Q₈	—	47	16	no	—
951	C₂²⋊Q₈	—	47	16	no	—
952	C₂²⋊Q₈	—	47	8	no	—
953	C₂²⋊Q₈	—	47	16	no	—
954	C₂²⋊Q₈	—	47	16	no	—
955	C₂²⋊Q₈	C₂²×D₄₇	1	16	yes	complemented
956	#121	—	47	16	no	—
957	#121	—	47	8	no	—
958	#121	—	47	8	no	—
959	#121	—	47	16	no	—
960	#121	—	47	16	no	—
961	#121	—	47	16	no	—
962	#121	—	47	16	no	—
963	#121	—	47	16	no	—
964	#121	—	47	8	no	—
965	#121	—	47	16	no	—
966	#121	—	47	16	no	—
967	#121	—	47	16	no	—
968	#121	—	47	8	no	—
969	#121	—	47	8	no	—
970	#121	—	47	16	no	—
971	#121	—	47	16	no	—
972	#121	—	47	8	no	—
973	#121	—	47	16	no	—
974	#121	C₂²×D₄₇	1	8	yes	—
975	#121	C₂²×D₄₇	1	8	yes	complemented
976	#120	—	47	8	no	—
977	#120	—	47	16	no	—
978	#120	—	47	8	no	—
979	#120	—	47	16	no	—
980	C₄×Q₈	—	47	8	no	—
981	C₄×Q₈	—	47	8	no	—
982	C₄×D₄	—	47	16	no	—
983	C₄×D₄	—	47	8	no	—
984	C₄×D₄	—	47	8	no	—
985	C₄×D₄	—	47	16	no	—
986	C₄×D₄	—	47	16	no	—
987	C₄×D₄	—	47	8	no	—
988	C₄×D₄	—	47	16	no	—
989	C₄×D₄	—	47	8	no	—
990	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
991	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
992	#117	—	47	8	no	—
993	C₂×C₄⋊C₄	—	47	1	no	—
994	C₂×C₄⋊C₄	—	47	2	no	—
995	C₂×C₄⋊C₄	—	47	2	no	—
996	C₂×C₄⋊C₄	—	47	2	no	—
997	C₂×C₄⋊C₄	—	47	2	no	—
998	C₂×C₄⋊C₄	—	47	2	no	—
999	C₂×C₄⋊C₄	—	47	2	no	—
1000	C₂×C₄⋊C₄	—	47	16	no	—
1001	C₂×C₄⋊C₄	—	47	1	no	—
1002	C₂×C₄⋊C₄	—	47	1	no	—
1003	C₂×C₄⋊C₄	—	47	2	no	—
1004	C₂×C₄⋊C₄	—	47	2	no	—
1005	C₂×C₄⋊C₄	—	47	1	no	—
1006	C₂×C₄⋊C₄	—	47	1	no	—
1007	C₂×C₄⋊C₄	—	47	1	no	—
1008	C₂×C₄⋊C₄	—	47	2	no	—
1009	C₂×C₄⋊C₄	—	47	2	no	—
1010	C₂×C₄⋊C₄	—	47	2	no	—
1011	C₂×C₄⋊C₄	—	47	8	no	—
1012	C₂×C₄⋊C₄	—	47	8	no	—
1013	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
1017	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
1018	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
1019	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₄₇	1	8	yes	complemented
1021	C₂×C₄⋊C₄	C₂²×D₄₇	1	8	yes	complemented
1022	C₂×C₂²⋊C₄	—	47	2	no	—
1023	C₂×C₂²⋊C₄	—	47	2	no	—
1024	C₂×C₂²⋊C₄	—	47	1	no	—
1025	C₂×C₂²⋊C₄	—	47	2	no	—
1026	C₂×C₂²⋊C₄	—	47	1	no	—
1027	C₂×C₂²⋊C₄	—	47	2	no	—
1028	C₂×C₂²⋊C₄	—	47	2	no	—
1029	C₂×C₂²⋊C₄	—	47	2	no	—
1030	C₂×C₂²⋊C₄	—	47	1	no	—
1031	C₂×C₂²⋊C₄	—	47	1	no	—
1032	C₂×C₂²⋊C₄	—	47	2	no	—
1033	C₂×C₂²⋊C₄	—	47	2	no	—
1034	C₂×C₂²⋊C₄	—	47	2	no	—
1035	C₂×C₂²⋊C₄	—	47	2	no	—
1036	C₂×C₂²⋊C₄	—	47	2	no	—
1037	C₂×C₂²⋊C₄	—	47	2	no	—
1038	C₂×C₂²⋊C₄	—	47	16	no	—
1039	C₂×C₂²⋊C₄	—	47	16	no	—
1040	C₂×C₂²⋊C₄	—	47	1	no	—
1041	C₂×C₂²⋊C₄	—	47	1	no	—
1042	C₂×C₂²⋊C₄	—	47	2	no	—
1043	C₂×C₂²⋊C₄	—	47	2	no	—
1044	C₂×C₂²⋊C₄	—	47	1	no	—
1045	C₂×C₂²⋊C₄	—	47	2	no	—
1046	C₂×C₂²⋊C₄	—	47	1	no	—
1047	C₂×C₂²⋊C₄	—	47	16	no	—
1048	C₂×C₂²⋊C₄	—	47	16	no	—
1049	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1051	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1053	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1054	C₂×C₄²	—	47	1	no	—
1055	C₂×C₄²	—	47	2	no	—
1056	C₂×C₄²	—	47	2	no	—
1057	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1058	C₂⁴	—	47	1	no	—
1059	C₂⁴	—	47	2	no	—
1060	C₂⁴	—	47	1	no	—
1061	C₂⁴	—	47	1	no	—
1062	C₂⁴	—	47	4	no	—
1063	C₂⁴	—	47	8	no	—
1064	C₂⁴	—	94	8	no	—
1065	C₂⁴	—	94	4	no	—
1066	C₂⁴	—	94	4	no	—
1067	C₂⁴	—	188	4	no	—
1068	C₂⁴	—	188	4	no	—
1069	C₂⁴	—	188	2	no	—
1070	C₂⁴	C₂³×D₄₇	1	2	yes	—
1071	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1072	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1073	#41	—	4	32	no	—
1074	#41	—	188	16	no	—
1075	#41	—	188	32	no	—
1076	#41	—	188	16	no	—
1077	#41	—	188	16	no	—
1078	C₂×Q₈	—	4	4	no	—
1079	C₂×Q₈	—	47	4	no	—
1080	C₂×Q₈	—	47	4	no	—
1081	C₂×Q₈	—	47	4	no	—
1082	C₂×Q₈	—	47	8	no	—
1083	C₂×Q₈	—	47	8	no	—
1084	C₂×Q₈	—	94	4	no	—
1085	C₂×Q₈	—	94	4	no	—
1086	C₂×Q₈	—	188	4	no	—
1087	C₂×Q₈	—	188	4	no	—
1088	C₂×Q₈	—	188	2	no	—
1089	C₂×Q₈	—	188	16	no	—
1090	C₂×Q₈	C₂³×D₄₇	1	8	yes	—
1091	C₂×D₄	—	2	8	no	—
1092	C₂×D₄	—	2	4	no	—
1093	C₂×D₄	—	2	4	no	—
1094	C₂×D₄	—	4	4	no	—
1095	C₂×D₄	—	47	4	no	—
1096	C₂×D₄	—	47	4	no	—
1097	C₂×D₄	—	47	8	no	—
1098	C₂×D₄	—	47	4	no	—
1099	C₂×D₄	—	47	8	no	—
1100	C₂×D₄	—	47	8	no	—
1101	C₂×D₄	—	47	4	no	—
1102	C₂×D₄	—	47	8	no	—
1103	C₂×D₄	—	47	8	no	—
1104	C₂×D₄	—	47	4	no	—
1105	C₂×D₄	—	47	4	no	—
1106	C₂×D₄	—	47	8	no	—
1107	C₂×D₄	—	47	4	no	—
1108	C₂×D₄	—	47	8	no	—
1109	C₂×D₄	—	94	4	no	—
1110	C₂×D₄	—	94	4	no	—
1111	C₂×D₄	—	94	8	no	—
1112	C₂×D₄	—	94	4	no	—
1113	C₂×D₄	—	94	4	no	—
1114	C₂×D₄	—	188	4	no	—
1115	C₂×D₄	—	188	4	no	—
1116	C₂×D₄	—	188	2	no	—
1117	C₂×D₄	—	188	16	no	—
1118	C₂×D₄	—	188	4	no	—
1119	C₂×D₄	—	188	4	no	—
1120	C₂×D₄	—	188	2	no	—
1121	C₂×D₄	—	188	2	no	—
1122	C₂×D₄	—	188	4	no	—
1123	C₂×D₄	—	188	4	no	—
1124	C₂×D₄	—	188	32	no	—
1125	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1126	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1127	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1128	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1129	C₂²×C₄	—	2	8	no	—
1130	C₂²×C₄	—	2	4	no	—
1131	C₂²×C₄	—	2	4	no	—
1132	C₂²×C₄	—	4	4	no	—
1133	C₂²×C₄	—	4	4	no	—
1134	C₂²×C₄	—	47	1	no	—
1135	C₂²×C₄	—	47	1	no	—
1136	C₂²×C₄	—	47	2	no	—
1137	C₂²×C₄	—	47	2	no	—
1138	C₂²×C₄	—	47	2	no	—
1139	C₂²×C₄	—	47	1	no	—
1140	C₂²×C₄	—	47	1	no	—
1141	C₂²×C₄	—	47	1	no	—
1142	C₂²×C₄	—	47	8	no	—
1143	C₂²×C₄	—	47	8	no	—
1144	C₂²×C₄	—	47	4	no	—
1145	C₂²×C₄	—	47	4	no	—
1146	C₂²×C₄	—	47	4	no	—
1147	C₂²×C₄	—	47	4	no	—
1148	C₂²×C₄	—	47	4	no	—
1149	C₂²×C₄	—	47	8	no	—
1150	C₂²×C₄	—	47	8	no	—
1151	C₂²×C₄	—	47	8	no	—
1152	C₂²×C₄	—	47	8	no	—
1153	C₂²×C₄	—	47	4	no	—
1154	C₂²×C₄	—	94	4	no	—
1155	C₂²×C₄	—	94	4	no	—
1156	C₂²×C₄	—	94	4	no	—
1157	C₂²×C₄	—	188	16	no	—
1158	C₂²×C₄	—	188	2	no	—
1159	C₂²×C₄	—	188	2	no	—
1160	C₂²×C₄	—	188	4	no	—
1161	C₂²×C₄	—	188	4	no	—
1162	C₂²×C₄	—	188	4	no	—
1163	C₂²×C₄	—	188	4	no	—
1164	C₂²×C₄	—	188	2	no	—
1165	C₂²×C₄	—	188	4	no	—
1166	C₂²×C₄	—	188	4	no	—
1167	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1168	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1169	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1170	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1172	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1175	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1176	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1178	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1179	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1180	C₄⋊C₄	—	47	8	no	—
1181	C₄⋊C₄	—	47	8	no	—
1182	C₄⋊C₄	—	47	4	no	—
1183	C₄⋊C₄	—	47	4	no	—
1184	C₄⋊C₄	—	47	8	no	—
1185	C₄⋊C₄	—	47	4	no	—
1186	C₄⋊C₄	—	47	4	no	—
1187	C₄⋊C₄	—	47	8	no	—
1188	C₄⋊C₄	—	47	8	no	—
1189	C₄⋊C₄	—	47	8	no	—
1190	C₄⋊C₄	—	47	4	no	—
1191	C₄⋊C₄	—	47	8	no	—
1192	C₄⋊C₄	—	47	8	no	—
1193	C₄⋊C₄	—	47	8	no	—
1194	C₄⋊C₄	—	47	8	no	—
1195	C₄⋊C₄	—	47	8	no	—
1196	C₄⋊C₄	—	47	4	no	—
1197	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1198	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1199	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1200	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1201	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1202	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1203	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1204	C₂²⋊C₄	—	47	8	no	—
1205	C₂²⋊C₄	—	47	8	no	—
1206	C₂²⋊C₄	—	47	4	no	—
1207	C₂²⋊C₄	—	47	8	no	—
1208	C₂²⋊C₄	—	47	4	no	—
1209	C₂²⋊C₄	—	47	8	no	—
1210	C₂²⋊C₄	—	47	8	no	—
1211	C₂²⋊C₄	—	47	8	no	—
1212	C₂²⋊C₄	—	47	4	no	—
1213	C₂²⋊C₄	—	47	4	no	—
1214	C₂²⋊C₄	—	47	8	no	—
1215	C₂²⋊C₄	—	47	8	no	—
1216	C₂²⋊C₄	—	47	8	no	—
1217	C₂²⋊C₄	—	47	8	no	—
1218	C₂²⋊C₄	—	47	8	no	—
1219	C₂²⋊C₄	—	47	8	no	—
1220	C₂²⋊C₄	—	47	4	no	—
1221	C₂²⋊C₄	—	47	4	no	—
1222	C₂²⋊C₄	—	47	8	no	—
1223	C₂²⋊C₄	—	47	8	no	—
1224	C₂²⋊C₄	—	47	4	no	—
1225	C₂²⋊C₄	—	47	8	no	—
1226	C₂²⋊C₄	—	47	4	no	—
1227	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1228	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1229	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1230	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1231	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1232	C₄²	—	47	4	no	—
1233	C₄²	—	47	8	no	—
1234	C₄²	—	47	8	no	—
1235	C₄²	C₂³×D₄₇	1	4	yes	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	2	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	47	4	no	—
1245	C₂³	—	47	2	no	—
1246	C₂³	—	47	4	no	—
1247	C₂³	—	47	2	no	—
1248	C₂³	—	47	2	no	—
1249	C₂³	—	94	16	no	—
1250	C₂³	—	94	8	no	—
1251	C₂³	—	94	2	no	—
1252	C₂³	—	94	2	no	—
1253	C₂³	—	94	2	no	—
1254	C₂³	—	94	4	no	—
1255	C₂³	—	94	8	no	—
1256	C₂³	—	94	2	no	—
1257	C₂³	—	94	2	no	—
1258	C₂³	—	94	2	no	—
1259	C₂³	—	94	4	no	—
1260	C₂³	—	94	2	no	—
1261	C₂³	—	94	4	no	—
1262	C₂³	—	94	2	no	—
1263	C₂³	—	376	16	no	—
1264	C₂³	—	188	8	no	—
1265	C₂³	—	188	8	no	—
1266	C₂³	—	188	4	no	—
1267	C₂³	—	188	16	no	—
1268	C₂³	#13094069	1	4	yes	—
1269	C₂³	C₂⁴×D₄₇	1	4	yes	—
1270	C₂³	C₂⁴×D₄₇	1	2	yes	—
1271	C₂³	C₂⁴×D₄₇	1	2	yes	—
1272	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1273	Q₈	—	4	8	no	—
1274	Q₈	—	94	8	no	—
1275	Q₈	—	94	8	no	—
1276	Q₈	—	188	8	no	—
1277	Q₈	—	188	8	no	—
1278	Q₈	—	188	4	no	—
1279	D₄	—	2	16	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	2	8	no	—
1282	D₄	—	4	8	no	—
1283	D₄	—	94	8	no	—
1284	D₄	—	94	8	no	—
1285	D₄	—	94	16	no	—
1286	D₄	—	94	8	no	—
1287	D₄	—	94	8	no	—
1288	D₄	—	188	8	no	—
1289	D₄	—	188	8	no	—
1290	D₄	—	188	4	no	—
1291	D₄	—	188	8	no	—
1292	D₄	—	188	8	no	—
1293	D₄	—	188	4	no	—
1294	D₄	—	188	4	no	—
1295	D₄	—	188	8	no	—
1296	D₄	—	188	8	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	16	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	8	no	—
1306	C₂×C₄	—	2	8	no	—
1307	C₂×C₄	—	4	8	no	—
1308	C₂×C₄	—	4	8	no	—
1309	C₂×C₄	—	47	2	no	—
1310	C₂×C₄	—	47	2	no	—
1311	C₂×C₄	—	47	4	no	—
1312	C₂×C₄	—	47	4	no	—
1313	C₂×C₄	—	47	4	no	—
1314	C₂×C₄	—	47	2	no	—
1315	C₂×C₄	—	47	2	no	—
1316	C₂×C₄	—	47	2	no	—
1317	C₂×C₄	—	94	4	no	—
1318	C₂×C₄	—	94	2	no	—
1319	C₂×C₄	—	94	2	no	—
1320	C₂×C₄	—	94	2	no	—
1321	C₂×C₄	—	94	2	no	—
1322	C₂×C₄	—	94	4	no	—
1323	C₂×C₄	—	94	4	no	—
1324	C₂×C₄	—	94	2	no	—
1325	C₂×C₄	—	94	8	no	—
1326	C₂×C₄	—	94	8	no	—
1327	C₂×C₄	—	94	8	no	—
1328	C₂×C₄	—	188	4	no	—
1329	C₂×C₄	—	188	4	no	—
1330	C₂×C₄	—	188	8	no	—
1331	C₂×C₄	—	188	8	no	—
1332	C₂×C₄	—	188	8	no	—
1333	C₂×C₄	—	188	8	no	—
1334	C₂×C₄	—	188	4	no	—
1335	C₂×C₄	—	188	8	no	—
1336	C₂×C₄	—	188	8	no	—
1337	C₂×C₄	#13094070	1	4	yes	—
1338	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1339	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1340	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1341	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1342	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1343	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1344	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1345	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1346	C₂²	—	2	8	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	4	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	2	4	no	—
1355	C₂²	—	4	8	no	—
1356	C₂²	—	4	4	no	—
1357	C₂²	—	47	4	no	—
1358	C₂²	—	94	8	no	—
1359	C₂²	—	94	2	no	—
1360	C₂²	—	94	2	no	—
1361	C₂²	—	94	2	no	—
1362	C₂²	—	94	4	no	—
1363	C₂²	—	94	2	no	—
1364	C₂²	—	94	2	no	—
1365	C₂²	—	94	2	no	—
1366	C₂²	—	94	4	no	—
1367	C₂²	—	94	2	no	—
1368	C₂²	—	94	4	no	—
1369	C₂²	—	94	2	no	—
1370	C₂²	—	376	16	no	—
1371	C₂²	—	188	16	no	—
1372	C₂²	—	188	8	no	—
1373	C₂²	—	188	4	no	—
1374	C₂²	—	188	4	no	—
1375	C₂²	C₂×#13094069	1	4	yes	—
1376	C₂²	C₂×#13094069	1	2	yes	—
1377	C₂²	C₂×#13094070	1	2	yes	—
1378	C₂²	2₋¹⁺⁴×D₄₇	1	2	yes	—
1379	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1380	C₄	—	2	4	no	—
1381	C₄	—	2	4	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	4	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	2	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	94	4	no	—
1388	C₄	—	94	2	no	—
1389	C₄	—	94	2	no	—
1390	C₄	—	94	2	no	—
1391	C₄	—	94	2	no	—
1392	C₄	—	94	4	no	—
1393	C₄	—	94	4	no	—
1394	C₄	—	94	2	no	—
1395	C₄	C₂×#13094070	1	4	yes	—
1396	C₂	—	2	4	no	—
1397	C₂	—	4	4	no	—
1398	C₂	—	4	2	no	—
1399	C₂	—	94	4	no	—
1400	C₂	—	188	4	no	—
1401	C₂	—	188	2	no	—
1402	C₂	—	188	2	no	—
1403	C₂	#20257611	1	4	yes	direct product factor
1404	C₂	C₂²×#13094069	1	1	yes	characteristic
1405	C₂	C₂²×#13094070	1	1	yes	characteristic
1406	C₂	C₂×2₋¹⁺⁴×D₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#547	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#547	D₄₇
hypocenter	C₄₇	C₂×#3536
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#547

Complements

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

N	H ≅ G/N	type
1. #20257611	C₂	direct (N × H)
2. C₂×#15689870	C₂	semidirect
3. C₂×#15689869	C₂	semidirect
4. C₂×#15689834	C₂	semidirect
5. C₂×#15689828	C₂	semidirect
6. C₂×#15689782	C₂	semidirect
7. C₂×#15689779	C₂	semidirect
8. C₂×#15689774	C₂	semidirect
9. C₂×#15689770	C₂	semidirect
10. C₂×#15689768	C₂	semidirect
11. C₂×#15689765	C₂	semidirect
12. C₂×#15689761	C₂	semidirect
13. C₂×#15689748	C₂	semidirect
14. C₂×#15689747	C₂	semidirect
15. C₂×#15689738	C₂	semidirect
16. C₂×#15689717	C₂	semidirect
17. C₂×#15689709	C₂	semidirect
18. C₂×#15689704	C₂	semidirect
19. C₂×#15689702	C₂	semidirect
20. C₂×#15689701	C₂	semidirect
21. C₂×#15689632	C₂	semidirect
22. C₂²×#13094004	C₂	semidirect
23. C₂×#121×D₄₇	C₂	semidirect
24. C₂×C₄₇×#547	C₂	semidirect
25. C₂²×#10625350	C₂²	semidirect
26. C₂²×#10625350	C₂²	semidirect
27. C₂²×#10625350	C₂²	semidirect
28. C₂²×#10625352	C₂²	semidirect
29. C₂³×Dic₉₄	C₂²	semidirect
33. #15689870	C₂²	semidirect
34. #15689869	C₂²	semidirect
35. #15689834	C₂²	semidirect
36. #15689828	C₂²	semidirect
37. #15689782	C₂²	semidirect
38. #15689779	C₂²	semidirect
39. #15689774	C₂²	semidirect
40. #15689770	C₂²	semidirect
41. #15689768	C₂²	semidirect
42. #15689765	C₂²	semidirect
43. #15689761	C₂²	semidirect
44. #15689748	C₂²	semidirect
45. #15689747	C₂²	semidirect
46. #15689738	C₂²	semidirect
47. #15689717	C₂²	semidirect
48. #15689709	C₂²	semidirect
49. #15689704	C₂²	semidirect
50. #15689702	C₂²	semidirect
51. #15689701	C₂²	semidirect
52. C₂×#13094023	C₂²	semidirect
53. C₂×#13094019	C₂²	semidirect
54. C₂×#13094017	C₂²	semidirect
55. C₂×#13094015	C₂²	semidirect
56. C₂×#13094014	C₂²	semidirect
57. C₂×#13094013	C₂²	semidirect
58. C₂×#13094012	C₂²	semidirect
59. C₂×#13094011	C₂²	semidirect
60. C₂×#13094010	C₂²	semidirect
61. C₂×#13094010	C₂²	semidirect
62. C₂×#13094010	C₂²	semidirect
63. #15689632	C₂²	semidirect
64. C₂×#13094009	C₂²	semidirect
65. C₂×#13094009	C₂²	semidirect
66. C₂×#13094009	C₂²	semidirect
67. C₂×#13094008	C₂²	semidirect
68. C₂×#13094007	C₂²	semidirect
69. C₂×#13094007	C₂²	semidirect
70. C₂×#13094006	C₂²	semidirect
71. C₂×#13094006	C₂²	semidirect
75. C₂×#13094004	C₂²	semidirect
76. C₂×#13094004	C₂²	semidirect
77. C₂×#13094004	C₂²	semidirect
78. C₂×#13094004	C₂²	semidirect
79. C₂×#13094004	C₂²	semidirect
80. C₂×#13094004	C₂²	semidirect
81. C₂×#13094003	C₂²	semidirect
82. C₂×#13094003	C₂²	semidirect
83. C₂×#13094003	C₂²	semidirect
86. C₂×#13094002	C₂²	semidirect
87. C₂×#13094002	C₂²	semidirect
88. C₂×#13094001	C₂²	semidirect
89. C₂×#13094001	C₂²	semidirect
90. C₂×#13094001	C₂²	semidirect
92. C₂×#13094000	C₂²	semidirect
93. C₂×#13094000	C₂²	semidirect
95. C₂×#13093999	C₂²	semidirect
96. C₂×#13093999	C₂²	semidirect
98. C₂×#13093998	C₂²	semidirect
99. C₂×#13093998	C₂²	semidirect
100. C₂×#13093998	C₂²	semidirect
103. C₂×#13093997	C₂²	semidirect
105. C₂×#13093996	C₂²	semidirect
106. C₂×#13093996	C₂²	semidirect
107. C₂×#13093996	C₂²	semidirect
108. C₂×#13093996	C₂²	semidirect
110. C₂×#13093995	C₂²	semidirect
111. C₂×#13093995	C₂²	semidirect
112. #121×D₄₇	C₂²	semidirect
117. C₂×C₄×Dic₉₄	C₂²	semidirect
118. C₂×#13093989	C₂²	semidirect
120. C₂×D₄×Dic₄₇	C₂²	semidirect
122. C₂×#13093986	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
126. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
127. C₂×#13093981	C₂²	semidirect
128. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
130. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
135. C₂²×#41×C₄₇	C₂²	semidirect
136. C₄₇×#547	C₂²	semidirect
137. C₂×C₄⋊Q₈×C₄₇	C₂²	semidirect
138. C₂×#123×C₄₇	C₂²	semidirect
139. C₂×#123×C₄₇	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
142. C₂×#121×C₄₇	C₂²	semidirect
143. C₂×C₄×D₄×C₄₇	C₂²	semidirect
144. C₂×C₄×D₄×C₄₇	C₂²	semidirect
145. C₂²×C₄⋊C₄×C₄₇	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₄₇	C₂²	semidirect
152. C₂×#10625350	C₂³	semidirect
153. C₂×#10625350	C₂³	semidirect
154. C₂×#10625350	C₂³	semidirect
156. C₂×#10625352	C₂³	semidirect
163. C₂²×Dic₉₄	C₂³	semidirect
196. #13094023	C₂³	semidirect
197. #13094019	C₂³	semidirect
198. #13094017	C₂³	semidirect
199. #13094015	C₂³	semidirect
200. #13094014	C₂³	semidirect
201. #13094013	C₂³	semidirect
202. #13094012	C₂³	semidirect
203. #13094011	C₂³	semidirect
204. #13094010	C₂³	semidirect
205. #13094010	C₂³	semidirect
206. #13094010	C₂³	semidirect
207. #13094009	C₂³	semidirect
208. #13094009	C₂³	semidirect
209. #13094009	C₂³	semidirect
210. #13094008	C₂³	semidirect
211. #13094007	C₂³	semidirect
212. #13094007	C₂³	semidirect
213. #13094006	C₂³	semidirect
214. #13094006	C₂³	semidirect
218. #13094004	C₂³	semidirect
219. #13094004	C₂³	semidirect
220. #13094004	C₂³	semidirect
221. #13094004	C₂³	semidirect
222. #13094004	C₂³	semidirect
223. #13094003	C₂³	semidirect
224. #13094003	C₂³	semidirect
225. #13094003	C₂³	semidirect
228. #13094002	C₂³	semidirect
229. #13094002	C₂³	semidirect
230. #13094001	C₂³	semidirect
231. #13094001	C₂³	semidirect
232. #13094001	C₂³	semidirect
234. #13094000	C₂³	semidirect
235. #13094000	C₂³	semidirect
237. #13093999	C₂³	semidirect
238. #13093999	C₂³	semidirect
240. #13093998	C₂³	semidirect
241. #13093998	C₂³	semidirect
242. #13093998	C₂³	semidirect
245. #13093997	C₂³	semidirect
247. #13093996	C₂³	semidirect
248. #13093996	C₂³	semidirect
249. #13093996	C₂³	semidirect
250. #13093996	C₂³	semidirect
252. #13093995	C₂³	semidirect
253. #13093995	C₂³	semidirect
258. C₄×Dic₉₄	C₂³	semidirect
259. #13093989	C₂³	semidirect
261. D₄×Dic₄₇	C₂³	semidirect
263. #13093986	C₂³	semidirect
266. C₄×C₂²⋊D₄₇	C₂³	semidirect
267. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
268. #13093981	C₂³	semidirect
276. C₂×C₄⋊Dic₄₇	C₂³	semidirect
288. C₄⋊C₄×D₄₇	C₂³	semidirect
320. C₂×#41×C₄₇	C₂³	semidirect
331. C₄⋊Q₈×C₄₇	C₂³	semidirect
332. #123×C₄₇	C₂³	semidirect
333. #123×C₄₇	C₂³	semidirect
334. C₂²⋊Q₈×C₄₇	C₂³	semidirect
336. #121×C₄₇	C₂³	semidirect
337. C₄×D₄×C₄₇	C₂³	semidirect
338. C₄×D₄×C₄₇	C₂³	semidirect
346. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
347. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
701. C₂×#547	D₄₇	semidirect
720. C₂×C₄₇	#3536	semidirect
732. C₂²×#41	C₂×D₄₇	semidirect
744. #547	C₂×D₄₇	semidirect
758. C₂×C₄⋊Q₈	C₂×D₄₇	semidirect
778. C₂×#123	C₂×D₄₇	semidirect
779. C₂×#123	C₂×D₄₇	semidirect
802. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
823. C₂×#121	C₂×D₄₇	semidirect
838. C₂×C₄×D₄	C₂×D₄₇	semidirect
839. C₂×C₄×D₄	C₂×D₄₇	semidirect
844. C₂²×C₄⋊C₄	C₂×D₄₇	semidirect
845. C₂²×C₄⋊C₄	C₂×D₄₇	semidirect
850. C₄₇	C₂×#3536	semidirect
862. C₂×#41	C₂²×D₄₇	semidirect
913. C₄⋊Q₈	C₂²×D₄₇	semidirect
932. #123	C₂²×D₄₇	semidirect
933. #123	C₂²×D₄₇	semidirect
955. C₂²⋊Q₈	C₂²×D₄₇	semidirect
975. #121	C₂²×D₄₇	semidirect
990. C₄×D₄	C₂²×D₄₇	semidirect
991. C₄×D₄	C₂²×D₄₇	semidirect
1020. C₂×C₄⋊C₄	C₂²×D₄₇	semidirect
1021. C₂×C₄⋊C₄	C₂²×D₄₇	semidirect
1403. C₂	#20257611	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257611	2
C₂×#15689870	2
C₂×#15689869	2
C₂×#15689834	2
C₂×#15689828	2
C₂×#15689782	2
C₂×#15689779	2
C₂×#15689774	2
C₂×#15689770	2
C₂×#15689768	2
C₂×#15689765	2
C₂×#15689761	2
C₂×#15689748	2
C₂×#15689747	2
C₂×#15689738	2
C₂×#15689717	2
C₂×#15689709	2
C₂×#15689704	2
C₂×#15689702	2
C₂×#15689701	2
C₂×#15689632	2
C₂²×#13094004	2
C₂×#121×D₄₇	2
C₂×C₄₇×#547	2
C₂×#3536	47

Subgroups — C2×#20257611 #27123501

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257611 #27123501