Subgroups — C₂×#20257738 #27124028

Order 12032.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257738	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689877	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#15689867	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15689865	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689837	C₂	1	2	yes	maximal, complemented
6	C₂×#15689800	C₂	1	2	yes	maximal, complemented
7	C₂×#15689800	C₂	1	2	yes	maximal, complemented
8	C₂×#15689796	C₂	1	2	yes	maximal, complemented
9	C₂×#15689770	C₂	1	2	yes	maximal, complemented
10	C₂×#15689765	C₂	1	2	yes	maximal, complemented
11	C₂×#15689746	C₂	1	2	yes	maximal, complemented
12	C₂×#15689741	C₂	1	2	yes	maximal, complemented
13	C₂×#15689710	C₂	1	2	yes	maximal, complemented
14	C₂×#15689709	C₂	1	2	yes	maximal, complemented
15	C₂×#15689696	C₂	1	2	yes	maximal, complemented
16	C₂×#15689681	C₂	1	2	yes	maximal, complemented
17	C₂×#15689658	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689652	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#124×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄₇×#562	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#10625350	C₂²	1	2	yes	—
22	C₂²×Q₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
23	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic
24	C₂²×D₄×D₄₇	C₂²	1	2	yes	complemented
25	#15689877	C₂²	1	16	yes	complemented
26	#15689867	C₂²	1	16	yes	complemented
27	#15689865	C₂²	1	16	yes	complemented
28	#15689837	C₂²	1	32	yes	complemented
29	#15689800	C₂²	1	32	yes	complemented
30	#15689800	C₂²	1	32	yes	complemented
31	#15689796	C₂²	1	32	yes	complemented
32	#15689770	C₂²	1	32	yes	complemented
33	#15689765	C₂²	1	32	yes	complemented
34	#15689746	C₂²	1	32	yes	complemented
35	#15689741	C₂²	1	32	yes	complemented
36	#15689710	C₂²	1	32	yes	complemented
37	#15689709	C₂²	1	32	yes	complemented
38	#15689696	C₂²	1	32	yes	complemented
39	#15689681	C₂²	1	32	yes	complemented
40	C₂×#13094023	C₂²	1	2	yes	complemented
41	C₂×#13094023	C₂²	1	2	yes	complemented
42	#15689658	C₂²	1	16	yes	complemented
43	#15689652	C₂²	1	16	yes	complemented
44	C₂×#13094019	C₂²	1	2	yes	complemented
45	C₂×#13094019	C₂²	1	2	yes	complemented
46	C₂×#13094019	C₂²	1	2	yes	complemented
47	C₂×#13094019	C₂²	1	2	yes	complemented
48	C₂×#13094019	C₂²	1	2	yes	complemented
49	C₂×#13094017	C₂²	1	2	yes	complemented
50	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13094013	C₂²	1	1	yes	characteristic
52	C₂×#13094013	C₂²	1	2	yes	complemented
53	C₂×#13094012	C₂²	1	1	yes	characteristic
54	C₂×#13094012	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13094011	C₂²	1	2	yes	complemented
56	C₂×#13094011	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13094010	C₂²	1	2	yes	complemented
58	C₂×#13094010	C₂²	1	2	yes	complemented
59	C₂×#13094010	C₂²	1	2	yes	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	#124×D₄₇	C₂²	1	16	yes	complemented
64	C₂×#13094009	C₂²	1	2	yes	—
65	C₂×#13094009	C₂²	1	2	yes	complemented
66	C₂×#13094009	C₂²	1	2	yes	complemented
67	C₂×#13094009	C₂²	1	2	yes	complemented
68	C₂×#13094008	C₂²	1	2	yes	complemented
69	C₂×#13094008	C₂²	1	2	yes	complemented
70	C₂×#13094006	C₂²	1	2	yes	complemented
71	C₂×#13094006	C₂²	1	2	yes	complemented
72	C₂×#13094006	C₂²	1	2	yes	complemented
73	C₂×#13094006	C₂²	1	2	yes	complemented
74	C₂×#13094004	C₂²	1	2	yes	complemented
75	C₂×#13094004	C₂²	1	2	yes	complemented
76	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13094003	C₂²	1	2	yes	complemented
78	C₂×#13094002	C₂²	1	2	yes	complemented
79	C₂×#13094001	C₂²	1	2	yes	complemented
80	C₂×#13094000	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13094000	C₂²	1	2	yes	complemented
82	C₂×#13093999	C₂²	1	1	yes	characteristic
83	C₂×#13093998	C₂²	1	2	yes	—
84	C₂×#13093997	C₂²	1	2	yes	complemented
85	C₂×#13093996	C₂²	1	2	yes	—
86	C₂×#13093996	C₂²	1	2	yes	complemented
87	C₂×#13093996	C₂²	1	2	yes	complemented
88	C₂×#13093995	C₂²	1	1	yes	characteristic
89	C₂×#13093995	C₂²	1	2	yes	complemented
90	C₂×#13093994	C₂²	1	2	yes	—
91	C₂×#13093994	C₂²	1	2	yes	—
92	C₂×#13093994	C₂²	1	2	yes	complemented
93	C₂×#13093992	C₂²	1	2	yes	—
94	C₂×#13093992	C₂²	1	2	yes	complemented
95	C₂×#13093992	C₂²	1	2	yes	complemented
96	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13093989	C₂²	1	1	yes	characteristic, complemented
98	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
99	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13093986	C₂²	1	2	yes	complemented
101	C₂×#13093986	C₂²	1	2	yes	complemented
102	C₂×#13093986	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
104	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
105	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
106	C₂×#13093983	C₂²	1	2	yes	complemented
107	C₂×#13093982	C₂²	1	2	yes	complemented
108	C₂×#13093982	C₂²	1	2	yes	complemented
109	C₂×#13093980	C₂²	1	2	yes	complemented
110	C₂×#13093980	C₂²	1	2	yes	complemented
111	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
112	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
113	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
114	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
115	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
116	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic, complemented
117	C₄₇×#562	C₂²	1	16	yes	complemented
118	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic, complemented
119	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
120	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
121	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
122	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
123	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	complemented
124	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	complemented
125	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
126	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
127	C₂⁴×D₄₇	C₂³	1	2	yes	—
128	C₂⁴×D₄₇	C₂³	1	2	yes	—
129	C₂×#10625350	—	4	8	no	—
130	C₂×#10625350	C₂³	1	16	yes	—
131	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
132	C₂²×Dic₉₄	C₂³	1	2	yes	—
133	C₂²×Dic₉₄	C₂³	1	2	yes	—
134	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
135	C₂×Q₈×D₄₇	—	4	4	no	—
136	C₂×Q₈×D₄₇	C₂³	1	8	yes	complemented
137	C₂²×D₁₈₈	C₂³	1	2	yes	—
138	C₂²×D₁₈₈	C₂³	1	2	yes	—
139	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
140	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
141	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
142	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
145	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
147	C₂×D₄×D₄₇	—	4	4	no	—
148	C₂×D₄×D₄₇	—	4	8	no	—
149	C₂×D₄×D₄₇	C₂³	1	8	yes	—
150	C₂×D₄×D₄₇	C₂³	1	16	yes	complemented
151	C₂³×Dic₄₇	C₂³	1	2	yes	—
152	C₂³×Dic₄₇	C₂³	1	2	yes	—
153	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
154	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
155	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
156	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
157	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
158	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
159	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
160	#13094023	C₂³	1	16	yes	complemented
161	#13094023	C₂³	1	16	yes	complemented
162	#13094019	C₂³	1	16	yes	complemented
163	#13094019	C₂³	1	16	yes	complemented
164	#13094019	C₂³	1	16	yes	complemented
165	#13094019	C₂³	1	16	yes	complemented
166	#13094019	C₂³	1	16	yes	complemented
167	#13094017	C₂³	1	16	yes	complemented
168	#13094016	C₂³	1	8	yes	complemented
169	#13094013	C₂³	1	8	yes	—
170	#13094013	C₂³	1	16	yes	complemented
171	#13094012	C₂³	1	8	yes	—
172	#13094012	C₂³	1	8	yes	complemented
173	#13094011	C₂³	1	16	yes	complemented
174	#13094011	C₂³	1	8	yes	complemented
175	#13094010	C₂³	1	16	yes	complemented
176	#13094010	C₂³	1	16	yes	complemented
177	#13094010	C₂³	1	16	yes	complemented
178	#13094010	C₂³	1	16	yes	complemented
179	#13094010	C₂³	1	16	yes	complemented
180	#13094010	C₂³	1	16	yes	complemented
181	#13094009	C₂³	1	16	yes	—
182	#13094009	C₂³	1	16	yes	complemented
183	#13094009	C₂³	1	16	yes	complemented
184	#13094009	C₂³	1	16	yes	complemented
185	#13094008	C₂³	1	16	yes	complemented
186	#13094008	C₂³	1	16	yes	complemented
187	#13094006	C₂³	1	16	yes	complemented
188	#13094006	C₂³	1	16	yes	complemented
189	#13094006	C₂³	1	16	yes	complemented
190	#13094006	C₂³	1	16	yes	complemented
191	#13094004	C₂³	1	16	yes	complemented
192	#13094004	C₂³	1	16	yes	complemented
193	#13094004	C₂³	1	8	yes	complemented
194	#13094003	C₂³	1	16	yes	complemented
195	#13094002	C₂³	1	16	yes	complemented
196	#13094001	C₂³	1	16	yes	complemented
197	#13094000	C₂³	1	8	yes	complemented
198	#13094000	C₂³	1	16	yes	complemented
199	#13093999	C₂³	1	8	yes	—
200	#13093998	C₂³	1	16	yes	—
201	#13093997	C₂³	1	16	yes	complemented
202	#13093996	C₂³	1	16	yes	—
203	#13093996	C₂³	1	16	yes	complemented
204	#13093996	C₂³	1	16	yes	complemented
205	#13093995	C₂³	1	8	yes	—
206	#13093995	C₂³	1	16	yes	complemented
207	#13093994	C₂³	1	16	yes	—
208	#13093994	C₂³	1	16	yes	—
209	#13093994	C₂³	1	16	yes	complemented
210	#13093992	C₂³	1	16	yes	—
211	#13093992	C₂³	1	16	yes	complemented
212	#13093992	C₂³	1	16	yes	complemented
213	Q₈×Dic₄₇	C₂³	1	8	yes	complemented
214	#13093989	C₂³	1	8	yes	complemented
215	D₄×Dic₄₇	C₂³	1	16	yes	complemented
216	D₄×Dic₄₇	C₂³	1	8	yes	complemented
217	#13093986	C₂³	1	16	yes	complemented
218	#13093986	C₂³	1	16	yes	complemented
219	#13093986	C₂³	1	8	yes	complemented
220	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
221	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
222	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
223	#13093983	C₂³	1	16	yes	complemented
224	#13093982	C₂³	1	16	yes	complemented
225	#13093982	C₂³	1	16	yes	complemented
226	#13093980	C₂³	1	16	yes	complemented
227	#13093980	C₂³	1	16	yes	complemented
228	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
229	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
230	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
231	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
234	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
235	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
236	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
237	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
238	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
239	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
240	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
241	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
242	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
243	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
244	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
245	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
246	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
247	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
248	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
249	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
250	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
251	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
252	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
253	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
254	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
255	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
256	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
258	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
259	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
260	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
261	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
262	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	yes	complemented
263	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	yes	complemented
264	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
265	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
266	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
267	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
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	C₄²×D₄₇	C₂³	1	8	yes	complemented
275	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
276	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
277	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
278	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
279	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
280	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
281	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
282	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
283	#125×C₄₇	C₂³	1	8	yes	complemented
284	#124×C₄₇	C₂³	1	8	yes	complemented
285	#124×C₄₇	C₂³	1	8	yes	complemented
286	#123×C₄₇	C₂³	1	16	yes	complemented
287	#123×C₄₇	C₂³	1	16	yes	complemented
288	C₂²⋊Q₈×C₄₇	C₂³	1	16	yes	complemented
289	C₂²⋊Q₈×C₄₇	C₂³	1	16	yes	complemented
290	#121×C₄₇	C₂³	1	16	yes	complemented
291	#121×C₄₇	C₂³	1	16	yes	complemented
292	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
293	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
294	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
295	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
296	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
299	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
300	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
301	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
302	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
303	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
304	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
305	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
306	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
307	C₂³×D₄₇	—	2	8	no	—
308	C₂³×D₄₇	—	4	4	no	—
309	C₂³×D₄₇	—	4	4	no	—
310	C₂³×D₄₇	—	4	4	no	—
311	C₂³×D₄₇	—	4	4	no	—
312	C₂³×D₄₇	—	4	4	no	—
313	C₂³×D₄₇	C₂⁴	1	2	yes	—
314	C₂³×D₄₇	C₂⁴	1	2	yes	—
315	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
316	C₂³×D₄₇	C₂⁴	1	8	yes	—
317	C₂³×D₄₇	C₂⁴	1	8	yes	—
318	C₂×Q₈×C₄₇	—	4	2	no	—
319	C₂×Q₈×C₄₇	—	4	2	no	—
320	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
321	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
322	C₂×D₄×C₄₇	—	4	4	no	—
323	C₂×D₄×C₄₇	—	4	2	no	—
324	C₂×D₄×C₄₇	—	4	2	no	—
325	C₂×D₄×C₄₇	—	4	4	no	—
326	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
327	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
328	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
329	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
330	C₂²×C₄×C₄₇	—	4	4	no	—
331	C₂²×C₄×C₄₇	—	4	4	no	—
332	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
340	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
341	C₂×C₂²⋊D₄₇	—	2	8	no	—
342	C₂×C₂²⋊D₄₇	—	4	4	no	—
343	C₂×C₂²⋊D₄₇	—	4	4	no	—
344	C₂×C₂²⋊D₄₇	—	4	4	no	—
345	C₂×C₂²⋊D₄₇	—	4	4	no	—
346	C₂×C₂²⋊D₄₇	—	4	4	no	—
347	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
348	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
349	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
350	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
351	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
352	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
353	C₂²×Dic₄₇	—	4	4	no	—
354	C₂²×Dic₄₇	—	4	4	no	—
355	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
356	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
357	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
358	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
359	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
360	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
361	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
362	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
363	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
364	Q₈×D₄₇	—	4	16	no	—
365	D₄×D₄₇	—	4	16	no	—
366	D₄×D₄₇	—	4	32	no	—
367	#10625350	—	4	32	no	—
368	C₂×D₁₈₈	—	2	8	no	—
369	C₂×D₁₈₈	—	4	2	no	—
370	C₂×D₁₈₈	—	4	2	no	—
371	C₂×D₁₈₈	—	4	4	no	—
372	C₂×D₁₈₈	C₂⁴	1	8	yes	—
373	C₂×D₁₈₈	C₂⁴	1	8	yes	—
374	C₂×D₁₈₈	C₂⁴	1	4	yes	—
375	C₂×D₁₈₈	C₂⁴	1	4	yes	—
376	C₂×C₄×D₄₇	—	2	4	no	—
377	C₂×C₄×D₄₇	—	2	8	no	—
378	C₂×C₄×D₄₇	—	4	4	no	—
379	C₂×C₄×D₄₇	—	4	2	no	—
380	C₂×C₄×D₄₇	—	4	2	no	—
381	C₂×C₄×D₄₇	—	4	4	no	—
382	C₂×C₄×D₄₇	—	4	4	no	—
383	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
384	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
385	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
386	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
387	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
388	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
389	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
390	C₂×Dic₉₄	—	4	2	no	—
391	C₂×Dic₉₄	—	4	4	no	—
392	C₂×Dic₉₄	—	4	2	no	—
393	C₂×Dic₉₄	—	4	4	no	—
394	C₂×Dic₉₄	C₂⁴	1	4	yes	—
395	C₂×Dic₉₄	C₂⁴	1	8	yes	—
396	C₂×Dic₉₄	C₂⁴	1	8	yes	—
397	C₂×Dic₉₄	C₂⁴	1	4	yes	—
398	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
399	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
400	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
401	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
402	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
403	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
404	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
405	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
406	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
407	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
408	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
409	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
410	C₄²×C₄₇	C₂⁴	1	4	yes	—
411	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
412	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
413	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
414	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
415	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
416	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
417	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
418	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
419	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
420	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
421	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
422	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
423	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
424	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
425	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
426	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
427	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
428	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
429	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
430	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
431	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
432	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
433	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
434	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
435	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
436	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
437	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
438	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
439	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
440	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
441	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
442	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
443	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
444	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
445	C₄×Dic₄₇	C₂⁴	1	4	yes	—
446	C₄×Dic₄₇	C₂⁴	1	4	yes	—
447	C₄×Dic₄₇	C₂⁴	1	4	yes	—
448	C₄×Dic₄₇	C₂⁴	1	8	yes	—
449	C₄×Dic₄₇	C₂⁴	1	8	yes	—
450	C₄×Dic₄₇	C₂⁴	1	8	yes	—
451	C₄×Dic₄₇	C₂⁴	1	8	yes	—
452	C₂³×C₄₇	—	2	4	no	—
453	C₂³×C₄₇	—	2	4	no	—
454	C₂³×C₄₇	—	2	4	no	—
455	C₂³×C₄₇	—	2	4	no	—
456	C₂³×C₄₇	—	2	4	no	—
457	C₂³×C₄₇	—	2	4	no	—
458	C₂³×C₄₇	C₂⁵	1	4	yes	—
459	C₂³×C₄₇	C₂⁵	1	4	yes	—
460	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
461	C₂²×D₄₇	—	2	2	no	—
462	C₂²×D₄₇	—	2	2	no	—
463	C₂²×D₄₇	—	2	4	no	—
464	C₂²×D₄₇	—	2	4	no	—
465	C₂²×D₄₇	—	2	4	no	—
466	C₂²×D₄₇	—	2	4	no	—
467	C₂²×D₄₇	—	2	4	no	—
468	C₂²×D₄₇	—	2	4	no	—
469	C₂²×D₄₇	—	2	16	no	—
470	C₂²×D₄₇	—	4	8	no	—
471	C₂²×D₄₇	—	4	8	no	—
472	C₂²×D₄₇	—	4	8	no	—
473	C₂²×D₄₇	—	4	8	no	—
474	C₂²×D₄₇	—	4	8	no	—
475	C₂²×D₄₇	—	8	16	no	—
476	C₂²×D₄₇	—	8	16	no	—
477	C₂²×D₄₇	H(5,𝔽₂)	1	4	yes	—
478	C₂²×D₄₇	C₂⁵	1	4	yes	—
479	C₂²×D₄₇	C₂⁵	1	4	yes	—
480	C₂²×D₄₇	C₂⁵	1	2	yes	—
481	Q₈×C₄₇	—	4	4	no	—
482	Q₈×C₄₇	—	4	4	no	—
483	D₄×C₄₇	—	4	4	no	—
484	D₄×C₄₇	—	4	8	no	—
485	D₄×C₄₇	—	4	8	no	—
486	D₄×C₄₇	—	4	4	no	—
487	C₂×C₄×C₄₇	—	2	4	no	—
488	C₂×C₄×C₄₇	—	2	2	no	—
489	C₂×C₄×C₄₇	—	2	4	no	—
490	C₂×C₄×C₄₇	—	2	2	no	—
491	C₂×C₄×C₄₇	—	2	4	no	—
492	C₂×C₄×C₄₇	—	2	2	no	—
493	C₂×C₄×C₄₇	—	2	4	no	—
494	C₂×C₄×C₄₇	—	4	8	no	—
495	C₂×C₄×C₄₇	—	4	8	no	—
496	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
497	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
498	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
499	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
500	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
501	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
502	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
503	C₂²⋊D₄₇	—	2	16	no	—
504	C₂²⋊D₄₇	—	4	8	no	—
505	C₂²⋊D₄₇	—	4	8	no	—
506	C₂²⋊D₄₇	—	4	8	no	—
507	C₂²⋊D₄₇	—	4	8	no	—
508	C₂²⋊D₄₇	—	4	8	no	—
509	C₂×Dic₄₇	—	2	4	no	—
510	C₂×Dic₄₇	—	2	2	no	—
511	C₂×Dic₄₇	—	2	4	no	—
512	C₂×Dic₄₇	—	2	4	no	—
513	C₂×Dic₄₇	—	2	2	no	—
514	C₂×Dic₄₇	—	2	2	no	—
515	C₂×Dic₄₇	—	2	4	no	—
516	C₂×Dic₄₇	—	4	8	no	—
517	C₂×Dic₄₇	—	4	8	no	—
518	C₂×Dic₄₇	C₂⁵	1	2	yes	—
519	C₂×Dic₄₇	C₂⁵	1	2	yes	—
520	C₂×Dic₄₇	C₂⁵	1	4	yes	—
521	C₂×Dic₄₇	C₂⁵	1	2	yes	—
522	C₂×Dic₄₇	C₂⁵	1	4	yes	—
523	C₂×Dic₄₇	C₂⁵	1	4	yes	—
524	C₂×Dic₄₇	C₂⁵	1	4	yes	—
525	D₁₈₈	—	2	16	no	—
526	D₁₈₈	—	4	4	no	—
527	D₁₈₈	—	4	8	no	—
528	D₁₈₈	—	4	4	no	—
529	C₄×D₄₇	—	2	16	no	—
530	C₄×D₄₇	—	2	8	no	—
531	C₄×D₄₇	—	4	8	no	—
532	C₄×D₄₇	—	4	4	no	—
533	C₄×D₄₇	—	4	4	no	—
534	C₄×D₄₇	—	4	8	no	—
535	C₄×D₄₇	—	4	8	no	—
536	Dic₉₄	—	4	4	no	—
537	Dic₉₄	—	4	8	no	—
538	Dic₉₄	—	4	4	no	—
539	Dic₉₄	—	4	8	no	—
540	C₂×#3545	—	47	1	no	maximal, Sylow
541	C₂²×C₄₇	—	2	4	no	—
542	C₂²×C₄₇	—	2	4	no	—
543	C₂²×C₄₇	—	2	4	no	—
544	C₂²×C₄₇	—	2	4	no	—
545	C₂²×C₄₇	—	2	4	no	—
546	C₂²×C₄₇	—	2	4	no	—
547	C₂²×C₄₇	—	4	8	no	—
548	C₂²×C₄₇	—	4	8	no	—
549	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
550	C₂²×C₄₇	#585	1	2	yes	—
551	C₂²×C₄₇	#585	1	2	yes	—
552	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
553	C₂×D₄₇	—	2	2	no	—
554	C₂×D₄₇	—	2	2	no	—
555	C₂×D₄₇	—	2	8	no	—
556	C₂×D₄₇	—	2	4	no	—
557	C₂×D₄₇	—	2	4	no	—
558	C₂×D₄₇	—	2	4	no	—
559	C₂×D₄₇	—	2	4	no	—
560	C₂×D₄₇	—	2	4	no	—
561	C₂×D₄₇	—	2	4	no	—
562	C₂×D₄₇	—	4	8	no	—
563	C₂×D₄₇	—	4	8	no	—
564	C₂×D₄₇	—	8	16	no	—
565	C₂×D₄₇	—	8	16	no	—
566	C₂×D₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
567	C₄×C₄₇	—	2	4	no	—
568	C₄×C₄₇	—	2	2	no	—
569	C₄×C₄₇	—	2	4	no	—
570	C₄×C₄₇	—	2	2	no	—
571	C₄×C₄₇	—	2	4	no	—
572	C₄×C₄₇	—	2	2	no	—
573	C₄×C₄₇	—	2	4	no	—
574	Dic₄₇	—	2	4	no	—
575	Dic₄₇	—	2	2	no	—
576	Dic₄₇	—	2	4	no	—
577	Dic₄₇	—	2	4	no	—
578	Dic₄₇	—	2	2	no	—
579	Dic₄₇	—	2	2	no	—
580	Dic₄₇	—	2	4	no	—
581	#3545	—	47	32	no	—
582	C₂×#563	—	47	1	no	—
583	C₂×#562	—	47	1	no	—
584	C₂×#562	D₄₇	1	1	yes	characteristic, complemented
585	C₂×H(3,𝔽₄)	—	47	1	no	—
586	C₂×#555	—	47	2	no	—
587	C₂×#551	—	47	2	no	—
588	C₂×#551	—	47	2	no	—
589	C₂×#551	—	47	2	no	—
590	C₂×#546	—	47	2	no	—
591	C₂×#546	—	47	2	no	—
592	C₂×#542	—	47	2	no	—
593	C₂×#542	—	47	2	no	—
594	C₂×#538	—	47	2	no	—
595	C₂×#538	—	47	2	no	—
596	C₂×#536	—	47	2	no	—
597	C₂×#534	—	47	2	no	—
598	C₂×#529	—	47	1	no	—
599	C₂×#529	—	47	1	no	—
600	C₂²×#124	—	47	1	no	—
601	C₂×C₄₇	—	4	4	no	—
602	C₂×C₄₇	—	4	4	no	—
603	C₂×C₄₇	#3545	1	4	yes	complemented
604	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
605	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
606	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
607	D₄₇	—	2	4	no	—
608	D₄₇	—	4	4	no	—
609	D₄₇	—	4	4	no	—
610	C₂²×#41	—	47	2	no	—
611	C₂³×Q₈	—	47	1	no	—
612	C₂³×D₄	—	47	1	no	—
613	C₂³×D₄	—	47	2	no	—
614	#563	—	47	16	no	—
615	#562	—	47	16	no	—
616	#562	C₂×D₄₇	1	16	yes	complemented
617	H(3,𝔽₄)	—	47	16	no	—
618	#555	—	47	32	no	—
619	#551	—	47	32	no	—
620	#551	—	47	32	no	—
621	#551	—	47	32	no	—
622	#546	—	47	32	no	—
623	#546	—	47	32	no	—
624	#542	—	47	32	no	—
625	#542	—	47	32	no	—
626	#538	—	47	32	no	—
627	#538	—	47	32	no	—
628	#536	—	47	32	no	—
629	#534	—	47	32	no	—
630	C₂×C₄⋊Q₈	—	47	2	no	—
631	C₂×C₄⋊Q₈	—	47	2	no	—
632	#529	—	47	16	no	—
633	#529	—	47	16	no	—
634	C₂×#126	—	47	2	no	—
635	C₂×#126	—	47	2	no	—
636	C₂×#126	—	47	2	no	—
637	C₂×#126	—	47	2	no	—
638	C₂×#126	—	47	2	no	—
639	C₂×#126	—	47	2	no	—
640	C₂×#125	—	47	1	no	—
641	C₂×#125	C₂×D₄₇	1	1	yes	characteristic, complemented
642	C₂×#124	—	47	1	no	—
643	C₂×#124	—	47	2	no	—
644	C₂×#124	—	47	1	no	—
645	C₂×#124	—	47	2	no	—
646	C₂×#124	—	47	16	no	—
647	C₂×#124	—	47	2	no	—
648	C₂×#124	—	47	2	no	—
649	C₂×#124	—	47	2	no	—
650	C₂×#124	—	47	2	no	—
651	C₂×#124	—	47	2	no	—
652	C₂×#124	—	47	2	no	—
653	C₂×#124	—	47	1	no	—
654	C₂×#124	—	47	1	no	—
655	C₂×#124	C₂×D₄₇	1	1	yes	characteristic, complemented
656	C₂×#124	C₂×D₄₇	1	1	yes	characteristic, complemented
657	C₂×#123	—	47	2	no	—
658	C₂×#123	—	47	2	no	—
659	C₂×#123	—	47	2	no	—
660	C₂×#123	—	47	2	no	—
661	C₂×#123	—	47	2	no	—
662	C₂×#123	—	47	2	no	—
663	C₂×#123	—	47	2	no	—
664	C₂×#123	—	47	2	no	—
665	C₂×#123	—	47	2	no	—
666	C₂×#123	—	47	2	no	—
667	C₂×#123	C₂×D₄₇	1	2	yes	complemented
668	C₂×#123	C₂×D₄₇	1	2	yes	complemented
669	C₂×C₂²⋊Q₈	—	47	1	no	—
670	C₂×C₂²⋊Q₈	—	47	2	no	—
671	C₂×C₂²⋊Q₈	—	47	2	no	—
672	C₂×C₂²⋊Q₈	—	47	1	no	—
673	C₂×C₂²⋊Q₈	—	47	2	no	—
674	C₂×C₂²⋊Q₈	—	47	2	no	—
675	C₂×C₂²⋊Q₈	—	47	2	no	—
676	C₂×C₂²⋊Q₈	—	47	2	no	—
677	C₂×C₂²⋊Q₈	C₂×D₄₇	1	2	yes	complemented
678	C₂×C₂²⋊Q₈	C₂×D₄₇	1	2	yes	complemented
679	C₂×#121	—	47	1	no	—
680	C₂×#121	—	47	2	no	—
681	C₂×#121	—	47	2	no	—
682	C₂×#121	—	47	2	no	—
683	C₂×#121	—	47	2	no	—
684	C₂×#121	—	47	2	no	—
685	C₂×#121	—	47	1	no	—
686	C₂×#121	—	47	2	no	—
687	C₂×#121	C₂×D₄₇	1	2	yes	complemented
688	C₂×#121	C₂×D₄₇	1	2	yes	complemented
689	C₂×#120	—	47	2	no	—
690	C₂×#120	—	47	2	no	—
691	C₂×#120	—	47	2	no	—
692	C₂×#120	—	47	2	no	—
693	C₂×#120	—	47	2	no	—
694	C₂×#120	—	47	2	no	—
695	C₂×C₄×Q₈	—	47	1	no	—
696	C₂×C₄×Q₈	—	47	1	no	—
697	C₂×C₄×D₄	—	47	1	no	—
698	C₂×C₄×D₄	—	47	2	no	—
699	C₂×C₄×D₄	—	47	2	no	—
700	C₂×C₄×D₄	—	47	2	no	—
701	C₂×C₄×D₄	—	47	1	no	—
702	C₂×C₄×D₄	—	47	2	no	—
703	C₂×C₄×D₄	—	47	2	no	—
704	C₂×C₄×D₄	—	47	2	no	—
705	C₂×#117	—	47	2	no	—
706	C₂×#117	—	47	2	no	—
707	C₂×#117	—	47	2	no	—
708	C₂×#117	—	47	2	no	—
709	C₂×#117	—	47	2	no	—
710	C₂²×C₂²⋊C₄	—	47	2	no	—
711	C₂²×C₂²⋊C₄	—	47	2	no	—
712	C₂²×C₂²⋊C₄	—	47	2	no	—
713	C₂²×C₂²⋊C₄	—	47	2	no	—
714	C₂²×C₂²⋊C₄	—	47	2	no	—
715	C₂²×C₄²	—	47	1	no	—
716	C₄₇	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
717	C₂⁵	—	47	2	no	—
718	C₂⁵	—	47	2	no	—
719	C₂×#41	—	47	16	no	—
720	C₂×#41	—	188	8	no	—
721	C₂²×Q₈	—	47	8	no	—
722	C₂²×Q₈	—	47	1	no	—
723	C₂²×Q₈	—	47	2	no	—
724	C₂²×Q₈	—	47	2	no	—
725	C₂²×Q₈	—	47	1	no	—
726	C₂²×Q₈	—	188	4	no	—
727	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
728	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
729	C₂²×D₄	—	47	2	no	—
730	C₂²×D₄	—	47	2	no	—
731	C₂²×D₄	—	47	2	no	—
732	C₂²×D₄	—	47	2	no	—
733	C₂²×D₄	—	47	2	no	—
734	C₂²×D₄	—	47	2	no	—
735	C₂²×D₄	—	47	8	no	—
736	C₂²×D₄	—	47	16	no	—
737	C₂²×D₄	—	47	2	no	—
738	C₂²×D₄	—	47	2	no	—
739	C₂²×D₄	—	47	1	no	—
740	C₂²×D₄	—	47	1	no	—
741	C₂²×D₄	—	188	4	no	—
742	C₂²×D₄	—	188	8	no	—
743	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
744	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
745	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
746	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
747	C₂³×C₄	—	47	2	no	—
748	C₂³×C₄	—	47	2	no	—
749	C₂³×C₄	—	47	2	no	—
750	C₂³×C₄	—	47	1	no	—
751	C₂³×C₄	—	47	1	no	—
752	C₂³×C₄	—	47	1	no	—
753	C₂³×C₄	—	47	2	no	—
754	C₂³×C₄	—	47	2	no	—
755	C₂³×C₄	—	47	2	no	—
756	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
757	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
758	C₄⋊Q₈	—	47	16	no	—
759	C₄⋊Q₈	—	47	16	no	—
760	#126	—	47	16	no	—
761	#126	—	47	16	no	—
762	#126	—	47	16	no	—
763	#126	—	47	16	no	—
764	#126	—	47	16	no	—
765	#126	—	47	16	no	—
766	#125	—	47	8	no	—
767	#125	C₂²×D₄₇	1	8	yes	complemented
768	#124	—	47	8	no	—
769	#124	—	47	16	no	—
770	#124	—	47	8	no	—
771	#124	—	47	16	no	—
772	#124	—	47	16	no	—
773	#124	—	47	16	no	—
774	#124	—	47	16	no	—
775	#124	—	47	16	no	—
776	#124	—	47	16	no	—
777	#124	—	47	16	no	—
778	#124	—	47	8	no	—
779	#124	—	47	8	no	—
780	#124	C₂²×D₄₇	1	8	yes	complemented
781	#124	C₂²×D₄₇	1	8	yes	complemented
782	#123	—	47	16	no	—
783	#123	—	47	16	no	—
784	#123	—	47	16	no	—
785	#123	—	47	16	no	—
786	#123	—	47	16	no	—
787	#123	—	47	16	no	—
788	#123	—	47	16	no	—
789	#123	—	47	16	no	—
790	#123	—	47	16	no	—
791	#123	—	47	16	no	—
792	#123	C₂²×D₄₇	1	16	yes	complemented
793	#123	C₂²×D₄₇	1	16	yes	complemented
794	C₂²⋊Q₈	—	47	8	no	—
795	C₂²⋊Q₈	—	47	16	no	—
796	C₂²⋊Q₈	—	47	16	no	—
797	C₂²⋊Q₈	—	47	8	no	—
798	C₂²⋊Q₈	—	47	16	no	—
799	C₂²⋊Q₈	—	47	16	no	—
800	C₂²⋊Q₈	—	47	16	no	—
801	C₂²⋊Q₈	—	47	16	no	—
802	C₂²⋊Q₈	C₂²×D₄₇	1	16	yes	complemented
803	C₂²⋊Q₈	C₂²×D₄₇	1	16	yes	complemented
804	#121	—	47	8	no	—
805	#121	—	47	16	no	—
806	#121	—	47	16	no	—
807	#121	—	47	16	no	—
808	#121	—	47	16	no	—
809	#121	—	47	16	no	—
810	#121	—	47	8	no	—
811	#121	—	47	16	no	—
812	#121	C₂²×D₄₇	1	16	yes	complemented
813	#121	C₂²×D₄₇	1	16	yes	complemented
814	#120	—	47	16	no	—
815	#120	—	47	16	no	—
816	#120	—	47	16	no	—
817	#120	—	47	16	no	—
818	#120	—	47	16	no	—
819	#120	—	47	16	no	—
820	C₄×Q₈	—	47	8	no	—
821	C₄×Q₈	—	47	8	no	—
822	C₄×D₄	—	47	8	no	—
823	C₄×D₄	—	47	16	no	—
824	C₄×D₄	—	47	16	no	—
825	C₄×D₄	—	47	16	no	—
826	C₄×D₄	—	47	8	no	—
827	C₄×D₄	—	47	16	no	—
828	C₄×D₄	—	47	16	no	—
829	C₄×D₄	—	47	16	no	—
830	#117	—	47	16	no	—
831	#117	—	47	16	no	—
832	#117	—	47	16	no	—
833	#117	—	47	16	no	—
834	#117	—	47	16	no	—
835	C₂×C₄⋊C₄	—	47	2	no	—
836	C₂×C₄⋊C₄	—	47	2	no	—
837	C₂×C₄⋊C₄	—	47	2	no	—
838	C₂×C₄⋊C₄	—	47	2	no	—
839	C₂×C₄⋊C₄	—	47	2	no	—
840	C₂×C₄⋊C₄	—	47	2	no	—
841	C₂×C₄⋊C₄	—	47	2	no	—
842	C₂×C₄⋊C₄	—	47	2	no	—
843	C₂×C₄⋊C₄	—	47	1	no	—
844	C₂×C₄⋊C₄	—	47	1	no	—
845	C₂×C₄⋊C₄	—	47	2	no	—
846	C₂×C₄⋊C₄	—	47	2	no	—
847	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
848	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
849	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
850	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
852	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	—	47	2	no	—
854	C₂×C₂²⋊C₄	—	47	2	no	—
855	C₂×C₂²⋊C₄	—	47	2	no	—
856	C₂×C₂²⋊C₄	—	47	2	no	—
857	C₂×C₂²⋊C₄	—	47	2	no	—
858	C₂×C₂²⋊C₄	—	47	2	no	—
859	C₂×C₂²⋊C₄	—	47	2	no	—
860	C₂×C₂²⋊C₄	—	47	2	no	—
861	C₂×C₂²⋊C₄	—	47	2	no	—
862	C₂×C₂²⋊C₄	—	47	2	no	—
863	C₂×C₂²⋊C₄	—	47	2	no	—
864	C₂×C₂²⋊C₄	—	47	2	no	—
865	C₂×C₂²⋊C₄	—	47	2	no	—
866	C₂×C₂²⋊C₄	—	47	2	no	—
867	C₂×C₂²⋊C₄	—	47	2	no	—
868	C₂×C₂²⋊C₄	—	47	2	no	—
869	C₂×C₂²⋊C₄	—	47	2	no	—
870	C₂×C₂²⋊C₄	—	47	2	no	—
871	C₂×C₂²⋊C₄	—	47	16	no	—
872	C₂×C₂²⋊C₄	—	47	16	no	—
873	C₂×C₂²⋊C₄	—	47	2	no	—
874	C₂×C₂²⋊C₄	—	47	2	no	—
875	C₂×C₂²⋊C₄	—	47	2	no	—
876	C₂×C₂²⋊C₄	—	47	2	no	—
877	C₂×C₂²⋊C₄	—	47	16	no	—
878	C₂×C₂²⋊C₄	—	47	16	no	—
879	C₂×C₂²⋊C₄	—	47	16	no	—
880	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
881	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
882	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
883	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
884	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
885	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
886	C₂×C₄²	—	47	1	no	—
887	C₂×C₄²	—	47	2	no	—
888	C₂×C₄²	—	47	2	no	—
889	C₂×C₄²	—	47	2	no	—
890	C₂×C₄²	—	47	2	no	—
891	C₂×C₄²	—	47	1	no	—
892	C₂×C₄²	—	47	1	no	—
893	C₂×C₄²	—	47	8	no	—
894	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
895	C₂⁴	—	47	1	no	—
896	C₂⁴	—	47	2	no	—
897	C₂⁴	—	47	2	no	—
898	C₂⁴	—	47	8	no	—
899	C₂⁴	—	47	8	no	—
900	C₂⁴	—	94	8	no	—
901	C₂⁴	—	188	4	no	—
902	C₂⁴	—	188	4	no	—
903	C₂⁴	—	188	4	no	—
904	C₂⁴	—	188	4	no	—
905	C₂⁴	—	188	4	no	—
906	C₂⁴	C₂³×D₄₇	1	2	yes	—
907	C₂⁴	C₂³×D₄₇	1	2	yes	—
908	#41	—	188	32	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	—	47	4	no	—
912	C₂×Q₈	—	47	8	no	—
913	C₂×Q₈	—	47	8	no	—
914	C₂×Q₈	—	47	4	no	—
915	C₂×Q₈	—	188	2	no	—
916	C₂×Q₈	—	188	4	no	—
917	C₂×Q₈	—	188	2	no	—
918	C₂×Q₈	—	188	4	no	—
919	C₂×Q₈	—	188	16	no	—
920	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
921	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
922	C₂×D₄	—	4	4	no	—
923	C₂×D₄	—	4	2	no	—
924	C₂×D₄	—	4	4	no	—
925	C₂×D₄	—	4	2	no	—
926	C₂×D₄	—	47	8	no	—
927	C₂×D₄	—	47	8	no	—
928	C₂×D₄	—	47	8	no	—
929	C₂×D₄	—	47	8	no	—
930	C₂×D₄	—	47	8	no	—
931	C₂×D₄	—	47	8	no	—
932	C₂×D₄	—	47	8	no	—
933	C₂×D₄	—	47	8	no	—
934	C₂×D₄	—	47	4	no	—
935	C₂×D₄	—	47	4	no	—
936	C₂×D₄	—	94	8	no	—
937	C₂×D₄	—	94	8	no	—
938	C₂×D₄	—	188	4	no	—
939	C₂×D₄	—	188	2	no	—
940	C₂×D₄	—	188	2	no	—
941	C₂×D₄	—	188	16	no	—
942	C₂×D₄	—	188	4	no	—
943	C₂×D₄	—	188	4	no	—
944	C₂×D₄	—	188	4	no	—
945	C₂×D₄	—	188	4	no	—
946	C₂×D₄	—	188	4	no	—
947	C₂×D₄	—	188	32	no	—
948	C₂×D₄	C₂³×D₄₇	1	8	yes	—
949	C₂×D₄	C₂³×D₄₇	1	4	yes	—
950	C₂×D₄	C₂³×D₄₇	1	8	yes	—
951	C₂×D₄	C₂³×D₄₇	1	4	yes	—
952	C₂²×C₄	—	4	4	no	—
953	C₂²×C₄	—	4	4	no	—
954	C₂²×C₄	—	47	1	no	—
955	C₂²×C₄	—	47	1	no	—
956	C₂²×C₄	—	47	2	no	—
957	C₂²×C₄	—	47	2	no	—
958	C₂²×C₄	—	47	1	no	—
959	C₂²×C₄	—	47	2	no	—
960	C₂²×C₄	—	47	2	no	—
961	C₂²×C₄	—	47	8	no	—
962	C₂²×C₄	—	47	8	no	—
963	C₂²×C₄	—	47	4	no	—
964	C₂²×C₄	—	47	8	no	—
965	C₂²×C₄	—	47	4	no	—
966	C₂²×C₄	—	47	4	no	—
967	C₂²×C₄	—	47	8	no	—
968	C₂²×C₄	—	47	8	no	—
969	C₂²×C₄	—	47	8	no	—
970	C₂²×C₄	—	94	4	no	—
971	C₂²×C₄	—	94	8	no	—
972	C₂²×C₄	—	188	4	no	—
973	C₂²×C₄	—	188	2	no	—
974	C₂²×C₄	—	188	2	no	—
975	C₂²×C₄	—	188	4	no	—
976	C₂²×C₄	—	188	4	no	—
977	C₂²×C₄	—	188	4	no	—
978	C₂²×C₄	—	188	4	no	—
979	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
980	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
981	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
982	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
983	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
984	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
985	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
986	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
987	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
988	C₄⋊C₄	—	47	8	no	—
989	C₄⋊C₄	—	47	8	no	—
990	C₄⋊C₄	—	47	8	no	—
991	C₄⋊C₄	—	47	8	no	—
992	C₄⋊C₄	—	47	8	no	—
993	C₄⋊C₄	—	47	8	no	—
994	C₄⋊C₄	—	47	8	no	—
995	C₄⋊C₄	—	47	8	no	—
996	C₄⋊C₄	—	47	8	no	—
997	C₄⋊C₄	—	47	4	no	—
998	C₄⋊C₄	—	47	4	no	—
999	C₄⋊C₄	—	47	8	no	—
1000	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1001	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1002	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1003	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1004	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1005	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1006	C₂²⋊C₄	—	47	8	no	—
1007	C₂²⋊C₄	—	47	8	no	—
1008	C₂²⋊C₄	—	47	8	no	—
1009	C₂²⋊C₄	—	47	8	no	—
1010	C₂²⋊C₄	—	47	8	no	—
1011	C₂²⋊C₄	—	47	8	no	—
1012	C₂²⋊C₄	—	47	8	no	—
1013	C₂²⋊C₄	—	47	8	no	—
1014	C₂²⋊C₄	—	47	8	no	—
1015	C₂²⋊C₄	—	47	8	no	—
1016	C₂²⋊C₄	—	47	8	no	—
1017	C₂²⋊C₄	—	47	8	no	—
1018	C₂²⋊C₄	—	47	8	no	—
1019	C₂²⋊C₄	—	47	8	no	—
1020	C₂²⋊C₄	—	47	8	no	—
1021	C₂²⋊C₄	—	47	8	no	—
1022	C₂²⋊C₄	—	47	8	no	—
1023	C₂²⋊C₄	—	47	8	no	—
1024	C₂²⋊C₄	—	47	8	no	—
1025	C₂²⋊C₄	—	47	8	no	—
1026	C₂²⋊C₄	—	47	8	no	—
1027	C₂²⋊C₄	—	47	8	no	—
1028	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1029	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1030	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1031	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1032	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1033	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1034	C₄²	—	47	4	no	—
1035	C₄²	—	47	4	no	—
1036	C₄²	—	47	4	no	—
1037	C₄²	—	47	8	no	—
1038	C₄²	—	47	8	no	—
1039	C₄²	—	47	8	no	—
1040	C₄²	—	47	8	no	—
1041	C₄²	C₂³×D₄₇	1	4	yes	—
1042	C₂³	—	2	4	no	—
1043	C₂³	—	2	4	no	—
1044	C₂³	—	2	4	no	—
1045	C₂³	—	2	4	no	—
1046	C₂³	—	2	4	no	—
1047	C₂³	—	2	4	no	—
1048	C₂³	—	47	4	no	—
1049	C₂³	—	47	2	no	—
1050	C₂³	—	47	4	no	—
1051	C₂³	—	47	4	no	—
1052	C₂³	—	94	16	no	—
1053	C₂³	—	94	2	no	—
1054	C₂³	—	94	2	no	—
1055	C₂³	—	94	4	no	—
1056	C₂³	—	94	4	no	—
1057	C₂³	—	94	4	no	—
1058	C₂³	—	94	4	no	—
1059	C₂³	—	94	4	no	—
1060	C₂³	—	94	4	no	—
1061	C₂³	—	376	16	no	—
1062	C₂³	—	376	16	no	—
1063	C₂³	—	188	8	no	—
1064	C₂³	—	188	8	no	—
1065	C₂³	—	188	8	no	—
1066	C₂³	—	188	8	no	—
1067	C₂³	—	188	8	no	—
1068	C₂³	C₂⁴×D₄₇	1	4	yes	—
1069	C₂³	C₂⁴×D₄₇	1	4	yes	—
1070	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1071	Q₈	—	4	4	no	—
1072	Q₈	—	4	4	no	—
1073	Q₈	—	188	4	no	—
1074	Q₈	—	188	8	no	—
1075	Q₈	—	188	4	no	—
1076	Q₈	—	188	8	no	—
1077	D₄	—	4	8	no	—
1078	D₄	—	4	4	no	—
1079	D₄	—	4	8	no	—
1080	D₄	—	4	4	no	—
1081	D₄	—	94	16	no	—
1082	D₄	—	94	16	no	—
1083	D₄	—	188	8	no	—
1084	D₄	—	188	4	no	—
1085	D₄	—	188	4	no	—
1086	D₄	—	188	8	no	—
1087	D₄	—	188	8	no	—
1088	D₄	—	188	8	no	—
1089	D₄	—	188	8	no	—
1090	D₄	—	188	8	no	—
1091	C₂×C₄	—	2	4	no	—
1092	C₂×C₄	—	2	4	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	4	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	4	8	no	—
1099	C₂×C₄	—	4	8	no	—
1100	C₂×C₄	—	47	2	no	—
1101	C₂×C₄	—	47	2	no	—
1102	C₂×C₄	—	47	4	no	—
1103	C₂×C₄	—	47	4	no	—
1104	C₂×C₄	—	47	2	no	—
1105	C₂×C₄	—	47	4	no	—
1106	C₂×C₄	—	47	4	no	—
1107	C₂×C₄	—	94	8	no	—
1108	C₂×C₄	—	94	16	no	—
1109	C₂×C₄	—	94	2	no	—
1110	C₂×C₄	—	94	4	no	—
1111	C₂×C₄	—	94	4	no	—
1112	C₂×C₄	—	94	2	no	—
1113	C₂×C₄	—	94	2	no	—
1114	C₂×C₄	—	94	4	no	—
1115	C₂×C₄	—	94	4	no	—
1116	C₂×C₄	—	188	8	no	—
1117	C₂×C₄	—	188	4	no	—
1118	C₂×C₄	—	188	4	no	—
1119	C₂×C₄	—	188	8	no	—
1120	C₂×C₄	—	188	8	no	—
1121	C₂×C₄	—	188	8	no	—
1122	C₂×C₄	—	188	8	no	—
1123	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1124	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1125	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1126	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1127	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1128	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1129	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1130	C₂²	—	2	4	no	—
1131	C₂²	—	2	4	no	—
1132	C₂²	—	2	4	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	4	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	4	8	no	—
1137	C₂²	—	4	8	no	—
1138	C₂²	—	47	4	no	—
1139	C₂²	—	94	2	no	—
1140	C₂²	—	94	2	no	—
1141	C₂²	—	94	8	no	—
1142	C₂²	—	94	4	no	—
1143	C₂²	—	94	4	no	—
1144	C₂²	—	94	4	no	—
1145	C₂²	—	94	4	no	—
1146	C₂²	—	94	4	no	—
1147	C₂²	—	94	4	no	—
1148	C₂²	—	376	16	no	—
1149	C₂²	—	376	16	no	—
1150	C₂²	—	188	8	no	—
1151	C₂²	—	188	8	no	—
1152	C₂²	H(5,𝔽₂)×D₄₇	1	2	yes	—
1153	C₂²	#15689958	1	2	yes	—
1154	C₂²	#15689960	1	2	yes	—
1155	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1156	C₄	—	2	4	no	—
1157	C₄	—	2	4	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	2	4	no	—
1160	C₄	—	2	4	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	94	2	no	—
1164	C₄	—	94	4	no	—
1165	C₄	—	94	4	no	—
1166	C₄	—	94	2	no	—
1167	C₄	—	94	2	no	—
1168	C₄	—	94	4	no	—
1169	C₄	—	94	4	no	—
1170	C₂	—	4	4	no	—
1171	C₂	—	4	4	no	—
1172	C₂	—	94	4	no	—
1173	C₂	—	188	4	no	—
1174	C₂	—	188	4	no	—
1175	C₂	#20257738	1	4	yes	direct product factor
1176	C₂	C₂×H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1177	C₂	C₂×#15689958	1	1	yes	characteristic
1178	C₂	C₂×#15689960	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#562	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#562	D₄₇
hypocenter	C₄₇	C₂×#3545
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#562

Complements

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

N	H ≅ G/N	type
1. #20257738	C₂	direct (N × H)
2. C₂×#15689877	C₂	semidirect
3. C₂×#15689867	C₂	semidirect
4. C₂×#15689865	C₂	semidirect
5. C₂×#15689837	C₂	semidirect
6. C₂×#15689800	C₂	semidirect
7. C₂×#15689800	C₂	semidirect
8. C₂×#15689796	C₂	semidirect
9. C₂×#15689770	C₂	semidirect
10. C₂×#15689765	C₂	semidirect
11. C₂×#15689746	C₂	semidirect
12. C₂×#15689741	C₂	semidirect
13. C₂×#15689710	C₂	semidirect
14. C₂×#15689709	C₂	semidirect
15. C₂×#15689696	C₂	semidirect
16. C₂×#15689681	C₂	semidirect
17. C₂×#15689658	C₂	semidirect
18. C₂×#15689652	C₂	semidirect
19. C₂×#124×D₄₇	C₂	semidirect
20. C₂×C₄₇×#562	C₂	semidirect
22. C₂²×Q₈×D₄₇	C₂²	semidirect
24. C₂²×D₄×D₄₇	C₂²	semidirect
25. #15689877	C₂²	semidirect
26. #15689867	C₂²	semidirect
27. #15689865	C₂²	semidirect
28. #15689837	C₂²	semidirect
29. #15689800	C₂²	semidirect
30. #15689800	C₂²	semidirect
31. #15689796	C₂²	semidirect
32. #15689770	C₂²	semidirect
33. #15689765	C₂²	semidirect
34. #15689746	C₂²	semidirect
35. #15689741	C₂²	semidirect
36. #15689710	C₂²	semidirect
37. #15689709	C₂²	semidirect
38. #15689696	C₂²	semidirect
39. #15689681	C₂²	semidirect
40. C₂×#13094023	C₂²	semidirect
41. C₂×#13094023	C₂²	semidirect
42. #15689658	C₂²	semidirect
43. #15689652	C₂²	semidirect
44. C₂×#13094019	C₂²	semidirect
45. C₂×#13094019	C₂²	semidirect
46. C₂×#13094019	C₂²	semidirect
47. C₂×#13094019	C₂²	semidirect
48. C₂×#13094019	C₂²	semidirect
49. C₂×#13094017	C₂²	semidirect
50. C₂×#13094016	C₂²	semidirect
52. C₂×#13094013	C₂²	semidirect
54. C₂×#13094012	C₂²	semidirect
55. C₂×#13094011	C₂²	semidirect
56. C₂×#13094011	C₂²	semidirect
57. C₂×#13094010	C₂²	semidirect
58. C₂×#13094010	C₂²	semidirect
59. C₂×#13094010	C₂²	semidirect
60. C₂×#13094010	C₂²	semidirect
61. C₂×#13094010	C₂²	semidirect
62. C₂×#13094010	C₂²	semidirect
63. #124×D₄₇	C₂²	semidirect
65. C₂×#13094009	C₂²	semidirect
66. C₂×#13094009	C₂²	semidirect
67. C₂×#13094009	C₂²	semidirect
68. C₂×#13094008	C₂²	semidirect
69. C₂×#13094008	C₂²	semidirect
70. C₂×#13094006	C₂²	semidirect
71. C₂×#13094006	C₂²	semidirect
72. C₂×#13094006	C₂²	semidirect
73. C₂×#13094006	C₂²	semidirect
74. C₂×#13094004	C₂²	semidirect
75. C₂×#13094004	C₂²	semidirect
76. C₂×#13094004	C₂²	semidirect
77. C₂×#13094003	C₂²	semidirect
78. C₂×#13094002	C₂²	semidirect
79. C₂×#13094001	C₂²	semidirect
80. C₂×#13094000	C₂²	semidirect
81. C₂×#13094000	C₂²	semidirect
84. C₂×#13093997	C₂²	semidirect
86. C₂×#13093996	C₂²	semidirect
87. C₂×#13093996	C₂²	semidirect
89. C₂×#13093995	C₂²	semidirect
92. C₂×#13093994	C₂²	semidirect
94. C₂×#13093992	C₂²	semidirect
95. C₂×#13093992	C₂²	semidirect
96. C₂×Q₈×Dic₄₇	C₂²	semidirect
97. C₂×#13093989	C₂²	semidirect
98. C₂×D₄×Dic₄₇	C₂²	semidirect
99. C₂×D₄×Dic₄₇	C₂²	semidirect
100. C₂×#13093986	C₂²	semidirect
101. C₂×#13093986	C₂²	semidirect
102. C₂×#13093986	C₂²	semidirect
103. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
104. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
105. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
106. C₂×#13093983	C₂²	semidirect
107. C₂×#13093982	C₂²	semidirect
108. C₂×#13093982	C₂²	semidirect
109. C₂×#13093980	C₂²	semidirect
110. C₂×#13093980	C₂²	semidirect
111. C₂²×(C₂×D₄₇)⋊C₄	C₂²	semidirect
112. C₂²×(C₂×D₄₇)⋊C₄	C₂²	semidirect
113. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
114. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
115. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
116. C₂×C₄²×D₄₇	C₂²	semidirect
117. C₄₇×#562	C₂²	semidirect
118. C₂×#125×C₄₇	C₂²	semidirect
119. C₂×#124×C₄₇	C₂²	semidirect
120. C₂×#124×C₄₇	C₂²	semidirect
121. C₂×#123×C₄₇	C₂²	semidirect
122. C₂×#123×C₄₇	C₂²	semidirect
123. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
124. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
125. C₂×#121×C₄₇	C₂²	semidirect
126. C₂×#121×C₄₇	C₂²	semidirect
136. C₂×Q₈×D₄₇	C₂³	semidirect
150. C₂×D₄×D₄₇	C₂³	semidirect
160. #13094023	C₂³	semidirect
161. #13094023	C₂³	semidirect
162. #13094019	C₂³	semidirect
163. #13094019	C₂³	semidirect
164. #13094019	C₂³	semidirect
165. #13094019	C₂³	semidirect
166. #13094019	C₂³	semidirect
167. #13094017	C₂³	semidirect
168. #13094016	C₂³	semidirect
170. #13094013	C₂³	semidirect
172. #13094012	C₂³	semidirect
173. #13094011	C₂³	semidirect
174. #13094011	C₂³	semidirect
175. #13094010	C₂³	semidirect
176. #13094010	C₂³	semidirect
177. #13094010	C₂³	semidirect
178. #13094010	C₂³	semidirect
179. #13094010	C₂³	semidirect
180. #13094010	C₂³	semidirect
182. #13094009	C₂³	semidirect
183. #13094009	C₂³	semidirect
184. #13094009	C₂³	semidirect
185. #13094008	C₂³	semidirect
186. #13094008	C₂³	semidirect
187. #13094006	C₂³	semidirect
188. #13094006	C₂³	semidirect
189. #13094006	C₂³	semidirect
190. #13094006	C₂³	semidirect
191. #13094004	C₂³	semidirect
192. #13094004	C₂³	semidirect
193. #13094004	C₂³	semidirect
194. #13094003	C₂³	semidirect
195. #13094002	C₂³	semidirect
196. #13094001	C₂³	semidirect
197. #13094000	C₂³	semidirect
198. #13094000	C₂³	semidirect
201. #13093997	C₂³	semidirect
203. #13093996	C₂³	semidirect
204. #13093996	C₂³	semidirect
206. #13093995	C₂³	semidirect
209. #13093994	C₂³	semidirect
211. #13093992	C₂³	semidirect
212. #13093992	C₂³	semidirect
213. Q₈×Dic₄₇	C₂³	semidirect
214. #13093989	C₂³	semidirect
215. D₄×Dic₄₇	C₂³	semidirect
216. D₄×Dic₄₇	C₂³	semidirect
217. #13093986	C₂³	semidirect
218. #13093986	C₂³	semidirect
219. #13093986	C₂³	semidirect
220. C₄×C₂²⋊D₄₇	C₂³	semidirect
221. C₄×C₂²⋊D₄₇	C₂³	semidirect
222. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
223. #13093983	C₂³	semidirect
224. #13093982	C₂³	semidirect
225. #13093982	C₂³	semidirect
226. #13093980	C₂³	semidirect
227. #13093980	C₂³	semidirect
262. C₂×(C₂×D₄₇)⋊C₄	C₂³	semidirect
263. C₂×(C₂×D₄₇)⋊C₄	C₂³	semidirect
264. C₂²⋊C₄×D₄₇	C₂³	semidirect
265. C₂²⋊C₄×D₄₇	C₂³	semidirect
266. C₂²⋊C₄×D₄₇	C₂³	semidirect
274. C₄²×D₄₇	C₂³	semidirect
283. #125×C₄₇	C₂³	semidirect
284. #124×C₄₇	C₂³	semidirect
285. #124×C₄₇	C₂³	semidirect
286. #123×C₄₇	C₂³	semidirect
287. #123×C₄₇	C₂³	semidirect
288. C₂²⋊Q₈×C₄₇	C₂³	semidirect
289. C₂²⋊Q₈×C₄₇	C₂³	semidirect
290. #121×C₄₇	C₂³	semidirect
291. #121×C₄₇	C₂³	semidirect
584. C₂×#562	D₄₇	semidirect
603. C₂×C₄₇	#3545	semidirect
616. #562	C₂×D₄₇	semidirect
641. C₂×#125	C₂×D₄₇	semidirect
655. C₂×#124	C₂×D₄₇	semidirect
656. C₂×#124	C₂×D₄₇	semidirect
667. C₂×#123	C₂×D₄₇	semidirect
668. C₂×#123	C₂×D₄₇	semidirect
677. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
678. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
687. C₂×#121	C₂×D₄₇	semidirect
688. C₂×#121	C₂×D₄₇	semidirect
716. C₄₇	C₂×#3545	semidirect
767. #125	C₂²×D₄₇	semidirect
780. #124	C₂²×D₄₇	semidirect
781. #124	C₂²×D₄₇	semidirect
792. #123	C₂²×D₄₇	semidirect
793. #123	C₂²×D₄₇	semidirect
802. C₂²⋊Q₈	C₂²×D₄₇	semidirect
803. C₂²⋊Q₈	C₂²×D₄₇	semidirect
812. #121	C₂²×D₄₇	semidirect
813. #121	C₂²×D₄₇	semidirect
1175. C₂	#20257738	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257738	2
C₂×#15689877	2
C₂×#15689867	2
C₂×#15689865	2
C₂×#15689837	2
C₂×#15689800	2
C₂×#15689796	2
C₂×#15689770	2
C₂×#15689765	2
C₂×#15689746	2
C₂×#15689741	2
C₂×#15689710	2
C₂×#15689709	2
C₂×#15689696	2
C₂×#15689681	2
C₂×#15689658	2
C₂×#15689652	2
C₂×#124×D₄₇	2
C₂×C₄₇×#562	2
C₂×#3545	47

Subgroups — C2×#20257738 #27124028

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257738 #27124028