Subgroups — C₂×#20257755 #27123911

Order 12032.

8046 conjugacy classes of subgroups.

The subgroup lattice has 1412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257755	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689862	C₂	1	2	yes	maximal, complemented
3	C₂×#15689861	C₂	1	2	yes	maximal, complemented
4	C₂×#15689842	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689818	C₂	1	2	yes	maximal, complemented
6	C₂×#15689794	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689794	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15689792	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15689775	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15689770	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689763	C₂	1	2	yes	maximal, complemented
12	C₂×D₄×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689746	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15689738	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689711	C₂	1	2	yes	maximal, complemented
16	C₂×#15689709	C₂	1	2	yes	maximal, complemented
17	C₂×#15689702	C₂	1	2	yes	maximal, complemented
18	C₂×#15689691	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#15689690	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#15689688	C₂	1	2	yes	maximal, complemented
21	C₂×#15689669	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689668	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#15689653	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625354	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#10625350	C₂²	1	2	yes	complemented
27	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#10625352	C₂²	1	2	yes	complemented
30	C₂³×C₂²⋊D₄₇	C₂²	1	2	yes	—
31	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic
32	#15689862	C₂²	1	32	yes	complemented
33	#15689861	C₂²	1	32	yes	complemented
34	#15689842	C₂²	1	16	yes	complemented
35	#15689818	C₂²	1	32	yes	complemented
36	#15689794	C₂²	1	16	yes	complemented
37	#15689794	C₂²	1	16	yes	complemented
38	#15689792	C₂²	1	16	yes	complemented
39	#15689775	C₂²	1	16	yes	complemented
40	#15689770	C₂²	1	16	yes	complemented
41	#15689763	C₂²	1	32	yes	complemented
42	D₄×C₂²⋊D₄₇	C₂²	1	16	yes	complemented
43	#15689746	C₂²	1	16	yes	complemented
44	#15689738	C₂²	1	16	yes	complemented
45	#15689711	C₂²	1	32	yes	complemented
46	#15689709	C₂²	1	32	yes	complemented
47	#15689702	C₂²	1	32	yes	complemented
48	#15689691	C₂²	1	16	yes	complemented
49	#15689690	C₂²	1	16	yes	complemented
50	#15689688	C₂²	1	32	yes	complemented
51	#15689669	C₂²	1	16	yes	complemented
52	#15689668	C₂²	1	16	yes	complemented
53	C₂×#13094023	C₂²	1	1	yes	characteristic, complemented
54	C₂×#13094022	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13094021	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13094020	C₂²	1	1	yes	characteristic
57	C₂×#13094020	C₂²	1	1	yes	characteristic
58	C₂×#13094020	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13094020	C₂²	1	2	yes	complemented
60	C₂×#13094020	C₂²	1	2	yes	complemented
61	#15689653	C₂²	1	16	yes	complemented
62	C₂×#13094019	C₂²	1	2	yes	complemented
63	C₂×#13094019	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13094017	C₂²	1	1	yes	characteristic, complemented
65	C₂×#13094017	C₂²	1	2	yes	complemented
66	C₂×#13094017	C₂²	1	2	yes	complemented
67	C₂×#13094017	C₂²	1	2	yes	complemented
68	C₂×#13094014	C₂²	1	1	yes	characteristic, complemented
69	C₂×#13094013	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13094011	C₂²	1	1	yes	characteristic
71	C₂×#13094011	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13094010	C₂²	1	1	yes	characteristic
73	C₂×#13094010	C₂²	1	2	yes	complemented
74	C₂×#13094010	C₂²	1	2	yes	complemented
75	C₂×#13094010	C₂²	1	2	yes	complemented
76	C₂×#13094009	C₂²	1	2	yes	complemented
77	C₂×#13094008	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13094007	C₂²	1	2	yes	complemented
79	C₂×#13094006	C₂²	1	2	yes	complemented
80	C₂×#13094006	C₂²	1	2	yes	complemented
81	C₂×#13094006	C₂²	1	2	yes	complemented
82	C₂×#13094005	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13094004	C₂²	1	2	yes	complemented
84	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13094003	C₂²	1	2	yes	complemented
86	C₂×#13094001	C₂²	1	2	yes	complemented
87	C₂×#13094001	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13093998	C₂²	1	1	yes	characteristic
89	C₂×#13093998	C₂²	1	2	yes	complemented
90	C₂×#13093998	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13093998	C₂²	1	2	yes	complemented
92	C₂×#13093997	C₂²	1	2	yes	—
93	C₂×#13093997	C₂²	1	2	yes	complemented
94	C₂×#13093997	C₂²	1	2	yes	complemented
95	C₂×#13093997	C₂²	1	2	yes	complemented
96	C₂×#13093997	C₂²	1	2	yes	complemented
97	C₂×#13093997	C₂²	1	2	yes	complemented
98	C₂×#13093997	C₂²	1	2	yes	complemented
99	C₂×#13093996	C₂²	1	2	yes	—
100	C₂×#13093996	C₂²	1	1	yes	characteristic
101	C₂×#13093996	C₂²	1	2	yes	complemented
102	C₂×#13093996	C₂²	1	2	yes	complemented
103	C₂×#13093996	C₂²	1	2	yes	complemented
104	C₂×#13093995	C₂²	1	1	yes	characteristic
105	C₂×#13093995	C₂²	1	2	yes	complemented
106	C₂×#13093995	C₂²	1	2	yes	complemented
107	C₂×#13093995	C₂²	1	2	yes	complemented
108	C₂×#13093995	C₂²	1	2	yes	complemented
109	C₂×#13093994	C₂²	1	2	yes	complemented
110	C₂×#13093994	C₂²	1	2	yes	complemented
111	C₂×#13093993	C₂²	1	2	yes	—
112	C₂×#13093993	C₂²	1	2	yes	complemented
113	C₂×#13093993	C₂²	1	2	yes	complemented
114	C₂×#13093992	C₂²	1	2	yes	—
115	C₂×#13093992	C₂²	1	2	yes	complemented
116	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
119	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
120	C₂×#13093986	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13093986	C₂²	1	1	yes	characteristic, complemented
122	C₂×#13093986	C₂²	1	2	yes	complemented
123	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
124	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
125	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
127	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
128	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
129	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13093981	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13093980	C₂²	1	2	yes	complemented
132	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
134	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
136	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
137	C₄₇×#546	C₂²	1	16	yes	complemented
138	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic
139	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
140	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
142	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
143	C₂×#120×C₄₇	C₂²	1	2	yes	complemented
144	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₇	C₂³	1	2	yes	—
148	C₂×#10625354	—	4	4	no	—
149	C₂×#10625354	C₂³	1	8	yes	complemented
150	C₂×#10625350	—	4	8	no	—
151	C₂×#10625350	—	4	4	no	—
152	C₂×#10625350	—	4	4	no	—
153	C₂×#10625350	C₂³	1	16	yes	complemented
154	C₂×#10625350	C₂³	1	8	yes	complemented
155	C₂×#10625350	C₂³	1	8	yes	complemented
156	C₂×#10625352	—	4	8	no	—
157	C₂×#10625352	C₂³	1	16	yes	complemented
158	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
159	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
160	C₂²×Dic₉₄	C₂³	1	2	yes	—
161	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
162	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
163	C₂²×D₁₈₈	C₂³	1	2	yes	—
164	C₂²×D₁₈₈	C₂³	1	2	yes	—
165	C₂²×D₁₈₈	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₄₇	—	4	8	no	—
167	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₄₇	C₂³	1	16	yes	—
170	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
173	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
181	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
182	C₂×D₄×D₄₇	—	4	4	no	—
183	C₂×D₄×D₄₇	C₂³	1	8	yes	—
184	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
185	C₂³×Dic₄₇	C₂³	1	2	yes	—
186	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
188	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
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	#13094023	C₂³	1	8	yes	complemented
194	#13094022	C₂³	1	8	yes	complemented
195	#13094021	C₂³	1	8	yes	complemented
196	#13094020	C₂³	1	8	yes	—
197	#13094020	C₂³	1	8	yes	—
198	#13094020	C₂³	1	8	yes	complemented
199	#13094020	C₂³	1	16	yes	complemented
200	#13094020	C₂³	1	16	yes	complemented
201	#13094019	C₂³	1	16	yes	complemented
202	#13094019	C₂³	1	8	yes	complemented
203	#13094017	C₂³	1	16	yes	complemented
204	#13094017	C₂³	1	16	yes	complemented
205	#13094017	C₂³	1	16	yes	complemented
206	#13094017	C₂³	1	8	yes	complemented
207	#13094014	C₂³	1	8	yes	complemented
208	#13094013	C₂³	1	8	yes	complemented
209	#13094011	C₂³	1	8	yes	—
210	#13094011	C₂³	1	8	yes	complemented
211	#13094010	C₂³	1	8	yes	—
212	#13094010	C₂³	1	16	yes	complemented
213	#13094010	C₂³	1	16	yes	complemented
214	#13094010	C₂³	1	16	yes	complemented
215	#13094009	C₂³	1	16	yes	complemented
216	#13094008	C₂³	1	8	yes	complemented
217	#13094007	C₂³	1	16	yes	complemented
218	#13094006	C₂³	1	16	yes	complemented
219	#13094006	C₂³	1	16	yes	complemented
220	#13094006	C₂³	1	16	yes	complemented
221	#13094005	C₂³	1	8	yes	complemented
222	#13094004	C₂³	1	8	yes	complemented
223	#13094004	C₂³	1	16	yes	complemented
224	#13094003	C₂³	1	16	yes	complemented
225	#13094001	C₂³	1	16	yes	complemented
226	#13094001	C₂³	1	8	yes	complemented
227	#13093998	C₂³	1	8	yes	—
228	#13093998	C₂³	1	16	yes	complemented
229	#13093998	C₂³	1	8	yes	complemented
230	#13093998	C₂³	1	16	yes	complemented
231	#13093997	C₂³	1	16	yes	—
232	#13093997	C₂³	1	16	yes	complemented
233	#13093997	C₂³	1	16	yes	complemented
234	#13093997	C₂³	1	16	yes	complemented
235	#13093997	C₂³	1	16	yes	complemented
236	#13093997	C₂³	1	16	yes	complemented
237	#13093997	C₂³	1	16	yes	complemented
238	#13093996	C₂³	1	16	yes	—
239	#13093996	C₂³	1	8	yes	—
240	#13093996	C₂³	1	16	yes	complemented
241	#13093996	C₂³	1	16	yes	complemented
242	#13093996	C₂³	1	16	yes	complemented
243	#13093995	C₂³	1	8	yes	—
244	#13093995	C₂³	1	16	yes	complemented
245	#13093995	C₂³	1	16	yes	complemented
246	#13093995	C₂³	1	16	yes	complemented
247	#13093995	C₂³	1	16	yes	complemented
248	#13093994	C₂³	1	16	yes	complemented
249	#13093994	C₂³	1	16	yes	complemented
250	#13093993	C₂³	1	16	yes	—
251	#13093993	C₂³	1	16	yes	complemented
252	#13093993	C₂³	1	16	yes	complemented
253	#13093992	C₂³	1	16	yes	—
254	#13093992	C₂³	1	16	yes	complemented
255	Q₈×Dic₄₇	C₂³	1	8	yes	complemented
256	C₄×Dic₉₄	C₂³	1	8	yes	complemented
257	C₄×Dic₉₄	C₂³	1	8	yes	complemented
258	D₄×Dic₄₇	C₂³	1	8	yes	—
259	#13093986	C₂³	1	8	yes	complemented
260	#13093986	C₂³	1	8	yes	complemented
261	#13093986	C₂³	1	16	yes	complemented
262	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
263	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
264	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
265	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
266	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
267	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
268	#13093983	C₂³	1	8	yes	complemented
269	#13093981	C₂³	1	8	yes	complemented
270	#13093980	C₂³	1	16	yes	complemented
271	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
272	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
277	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
282	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
283	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
285	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
286	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
287	C₄⋊C₄×D₄₇	C₂³	1	16	yes	complemented
288	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
294	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
295	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
296	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
298	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
303	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
308	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
309	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
310	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
315	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
316	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₄₇	C₂³	1	8	yes	complemented
318	C₂⁵×C₄₇	C₂³	1	2	yes	—
319	C₂×#41×C₄₇	—	4	4	no	—
320	C₂×#41×C₄₇	C₂³	1	8	yes	complemented
321	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₄₇	—	4	4	no	—
323	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₄₇	C₂³	1	8	yes	—
326	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
328	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
329	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
330	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
333	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
334	#124×C₄₇	C₂³	1	8	yes	—
335	#123×C₄₇	C₂³	1	16	yes	complemented
336	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
337	#121×C₄₇	C₂³	1	8	yes	—
338	#121×C₄₇	C₂³	1	16	yes	complemented
339	#120×C₄₇	C₂³	1	16	yes	complemented
340	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
341	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
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	16	yes	complemented
353	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
354	C₂⁴×C₄₇	—	4	4	no	—
355	C₂⁴×C₄₇	—	4	4	no	—
356	C₂⁴×C₄₇	—	4	4	no	—
357	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
359	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
360	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
361	C₂⁴×C₄₇	C₂⁴	1	8	yes	—
362	C₂³×D₄₇	—	4	4	no	—
363	C₂³×D₄₇	—	4	4	no	—
364	C₂³×D₄₇	—	4	4	no	—
365	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
366	C₂³×D₄₇	C₂⁴	1	2	yes	—
367	C₂³×D₄₇	C₂⁴	1	2	yes	—
368	C₂³×D₄₇	C₂⁴	1	8	yes	—
369	#41×C₄₇	—	4	16	no	—
370	C₂×Q₈×C₄₇	—	2	4	no	—
371	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
372	C₂×D₄×C₄₇	—	2	4	no	—
373	C₂×D₄×C₄₇	—	2	4	no	—
374	C₂×D₄×C₄₇	—	4	16	no	—
375	C₂×D₄×C₄₇	—	4	4	no	—
376	C₂×D₄×C₄₇	—	4	2	no	—
377	C₂×D₄×C₄₇	—	4	4	no	—
378	C₂×D₄×C₄₇	—	4	4	no	—
379	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
380	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
381	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
382	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
383	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
384	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
385	C₂²×C₄×C₄₇	—	2	4	no	—
386	C₂²×C₄×C₄₇	—	2	4	no	—
387	C₂²×C₄×C₄₇	—	4	4	no	—
388	C₂²×C₄×C₄₇	—	4	4	no	—
389	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
396	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
397	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
398	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
399	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₄₇	—	2	4	no	—
401	C₂×C₂²⋊D₄₇	—	2	8	no	—
402	C₂×C₂²⋊D₄₇	—	4	32	no	—
403	C₂×C₂²⋊D₄₇	—	4	4	no	—
404	C₂×C₂²⋊D₄₇	—	4	4	no	—
405	C₂×C₂²⋊D₄₇	—	4	4	no	—
406	C₂×C₂²⋊D₄₇	—	4	4	no	—
407	C₂×C₂²⋊D₄₇	—	4	4	no	—
408	C₂×C₂²⋊D₄₇	—	4	4	no	—
409	C₂×C₂²⋊D₄₇	—	4	2	no	—
410	C₂×C₂²⋊D₄₇	—	4	4	no	—
411	C₂×C₂²⋊D₄₇	—	4	4	no	—
412	C₂×C₂²⋊D₄₇	—	4	4	no	—
413	C₂×C₂²⋊D₄₇	—	4	4	no	—
414	C₂×C₂²⋊D₄₇	—	4	4	no	—
415	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
416	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
417	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
418	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
419	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
420	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
421	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
423	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
424	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
425	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
426	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
427	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
428	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
429	C₂²×Dic₄₇	—	2	8	no	—
430	C₂²×Dic₄₇	—	2	4	no	—
431	C₂²×Dic₄₇	—	4	2	no	—
432	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
437	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
438	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
440	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
442	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
443	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
444	#10625354	—	4	16	no	—
445	#10625352	—	4	32	no	—
446	D₄×D₄₇	—	4	16	no	—
447	#10625350	—	4	32	no	—
448	#10625350	—	4	16	no	—
449	#10625350	—	4	16	no	—
450	C₂×D₁₈₈	—	2	4	no	—
451	C₂×D₁₈₈	—	2	4	no	—
452	C₂×D₁₈₈	—	4	4	no	—
453	C₂×D₁₈₈	—	4	4	no	—
454	C₂×D₁₈₈	—	4	4	no	—
455	C₂×D₁₈₈	C₂⁴	1	4	yes	—
456	C₂×D₁₈₈	C₂⁴	1	4	yes	—
457	C₂×D₁₈₈	C₂⁴	1	8	yes	—
458	C₂×D₁₈₈	C₂⁴	1	8	yes	—
459	C₂×D₁₈₈	C₂⁴	1	8	yes	—
460	C₂×C₄×D₄₇	—	2	4	no	—
461	C₂×C₄×D₄₇	—	2	8	no	—
462	C₂×C₄×D₄₇	—	4	4	no	—
463	C₂×C₄×D₄₇	—	4	4	no	—
464	C₂×C₄×D₄₇	—	4	4	no	—
465	C₂×C₄×D₄₇	—	4	4	no	—
466	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
467	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
468	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
469	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
470	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
471	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
472	C₂×Dic₉₄	—	2	4	no	—
473	C₂×Dic₉₄	—	2	4	no	—
474	C₂×Dic₉₄	—	4	4	no	—
475	C₂×Dic₉₄	C₂⁴	1	4	yes	—
476	C₂×Dic₉₄	C₂⁴	1	4	yes	—
477	C₂×Dic₉₄	C₂⁴	1	8	yes	—
478	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
479	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
480	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
481	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
482	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
483	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
484	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
485	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
486	C₂²⋊C₄×C₄₇	C₂⁴	1	4	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	4	yes	—
493	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
494	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
495	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
496	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
497	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
498	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
499	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
500	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
501	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
502	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
503	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
504	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
505	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
506	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
507	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
508	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
509	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
510	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
511	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
512	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
513	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
514	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
515	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
516	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
517	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
518	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
519	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
520	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
521	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
522	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
523	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
524	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
525	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
526	C₄×Dic₄₇	C₂⁴	1	4	yes	—
527	C₄×Dic₄₇	C₂⁴	1	4	yes	—
528	C₄×Dic₄₇	C₂⁴	1	4	yes	—
529	C₄×Dic₄₇	C₂⁴	1	4	yes	—
530	C₄×Dic₄₇	C₂⁴	1	8	yes	—
531	C₄×Dic₄₇	C₂⁴	1	8	yes	—
532	C₄×Dic₄₇	C₂⁴	1	4	yes	—
533	C₂³×C₄₇	—	2	2	no	—
534	C₂³×C₄₇	—	2	4	no	—
535	C₂³×C₄₇	—	2	4	no	—
536	C₂³×C₄₇	—	2	2	no	—
537	C₂³×C₄₇	—	2	2	no	—
538	C₂³×C₄₇	—	2	2	no	—
539	C₂³×C₄₇	—	2	4	no	—
540	C₂³×C₄₇	—	2	4	no	—
541	C₂³×C₄₇	—	2	2	no	—
542	C₂³×C₄₇	—	2	4	no	—
543	C₂³×C₄₇	—	2	4	no	—
544	C₂³×C₄₇	—	2	2	no	—
545	C₂³×C₄₇	—	4	8	no	—
546	C₂³×C₄₇	—	4	8	no	—
547	C₂³×C₄₇	—	4	8	no	—
548	C₂³×C₄₇	—	8	16	no	—
549	C₂³×C₄₇	C₂⁵	1	4	yes	—
550	C₂³×C₄₇	C₂⁵	1	2	yes	—
551	C₂³×C₄₇	C₂⁵	1	4	yes	—
552	C₂³×C₄₇	C₂⁵	1	2	yes	—
553	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
554	C₂²×D₄₇	—	2	2	no	—
555	C₂²×D₄₇	—	2	4	no	—
556	C₂²×D₄₇	—	2	4	no	—
557	C₂²×D₄₇	—	2	4	no	—
558	C₂²×D₄₇	—	2	4	no	—
559	C₂²×D₄₇	—	2	2	no	—
560	C₂²×D₄₇	—	2	4	no	—
561	C₂²×D₄₇	—	2	4	no	—
562	C₂²×D₄₇	—	2	2	no	—
563	C₂²×D₄₇	—	4	8	no	—
564	C₂²×D₄₇	—	4	8	no	—
565	C₂²×D₄₇	—	4	8	no	—
566	C₂²×D₄₇	—	8	16	no	—
567	C₂²×D₄₇	C₂⁵	1	2	yes	—
568	C₂²×D₄₇	C₂⁵	1	4	yes	—
569	C₂²×D₄₇	C₂⁵	1	4	yes	—
570	Q₈×C₄₇	—	2	8	no	—
571	D₄×C₄₇	—	2	8	no	—
572	D₄×C₄₇	—	2	8	no	—
573	D₄×C₄₇	—	4	8	no	—
574	D₄×C₄₇	—	4	8	no	—
575	D₄×C₄₇	—	4	4	no	—
576	D₄×C₄₇	—	4	8	no	—
577	C₂×C₄×C₄₇	—	2	2	no	—
578	C₂×C₄×C₄₇	—	2	4	no	—
579	C₂×C₄×C₄₇	—	2	2	no	—
580	C₂×C₄×C₄₇	—	2	2	no	—
581	C₂×C₄×C₄₇	—	2	4	no	—
582	C₂×C₄×C₄₇	—	2	2	no	—
583	C₂×C₄×C₄₇	—	2	8	no	—
584	C₂×C₄×C₄₇	—	2	8	no	—
585	C₂×C₄×C₄₇	—	4	8	no	—
586	C₂×C₄×C₄₇	—	4	8	no	—
587	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
588	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
589	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
590	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
591	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
592	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
593	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
594	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
595	C₂²⋊D₄₇	—	2	16	no	—
596	C₂²⋊D₄₇	—	2	8	no	—
597	C₂²⋊D₄₇	—	4	8	no	—
598	C₂²⋊D₄₇	—	4	8	no	—
599	C₂²⋊D₄₇	—	4	8	no	—
600	C₂²⋊D₄₇	—	4	8	no	—
601	C₂²⋊D₄₇	—	4	8	no	—
602	C₂²⋊D₄₇	—	4	8	no	—
603	C₂²⋊D₄₇	—	4	8	no	—
604	C₂²⋊D₄₇	—	4	8	no	—
605	C₂²⋊D₄₇	—	4	8	no	—
606	C₂²⋊D₄₇	—	4	8	no	—
607	C₂²⋊D₄₇	—	4	8	no	—
608	C₂²⋊D₄₇	—	4	4	no	—
609	C₂×Dic₄₇	—	2	2	no	—
610	C₂×Dic₄₇	—	2	4	no	—
611	C₂×Dic₄₇	—	2	2	no	—
612	C₂×Dic₄₇	—	2	4	no	—
613	C₂×Dic₄₇	—	2	2	no	—
614	C₂×Dic₄₇	—	2	2	no	—
615	C₂×Dic₄₇	—	2	2	no	—
616	C₂×Dic₄₇	—	2	2	no	—
617	C₂×Dic₄₇	—	2	8	no	—
618	C₂×Dic₄₇	—	2	16	no	—
619	C₂×Dic₄₇	—	4	4	no	—
620	C₂×Dic₄₇	H(5,𝔽₂)	1	4	yes	—
621	C₂×Dic₄₇	C₂⁵	1	2	yes	—
622	C₂×Dic₄₇	C₂⁵	1	2	yes	—
623	C₂×Dic₄₇	C₂⁵	1	2	yes	—
624	C₂×Dic₄₇	C₂⁵	1	4	yes	—
625	C₂×Dic₄₇	C₂⁵	1	2	yes	—
626	C₂×Dic₄₇	C₂⁵	1	4	yes	—
627	C₂×Dic₄₇	C₂⁵	1	2	yes	—
628	C₂×Dic₄₇	C₂⁵	1	2	yes	—
629	C₂×Dic₄₇	C₂⁵	1	2	yes	—
630	D₁₈₈	—	2	8	no	—
631	D₁₈₈	—	2	8	no	—
632	D₁₈₈	—	4	8	no	—
633	D₁₈₈	—	4	8	no	—
634	D₁₈₈	—	4	8	no	—
635	C₄×D₄₇	—	2	8	no	—
636	C₄×D₄₇	—	2	16	no	—
637	C₄×D₄₇	—	4	8	no	—
638	C₄×D₄₇	—	4	8	no	—
639	C₄×D₄₇	—	4	8	no	—
640	C₄×D₄₇	—	4	8	no	—
641	Dic₉₄	—	2	8	no	—
642	Dic₉₄	—	2	8	no	—
643	Dic₉₄	—	4	8	no	—
644	C₂×#3546	—	47	1	no	maximal, Sylow
645	C₂²×C₄₇	—	2	2	no	—
646	C₂²×C₄₇	—	2	4	no	—
647	C₂²×C₄₇	—	2	4	no	—
648	C₂²×C₄₇	—	2	2	no	—
649	C₂²×C₄₇	—	2	2	no	—
650	C₂²×C₄₇	—	2	2	no	—
651	C₂²×C₄₇	—	2	4	no	—
652	C₂²×C₄₇	—	2	4	no	—
653	C₂²×C₄₇	—	2	2	no	—
654	C₂²×C₄₇	—	2	4	no	—
655	C₂²×C₄₇	—	2	4	no	—
656	C₂²×C₄₇	—	2	2	no	—
657	C₂²×C₄₇	—	4	8	no	—
658	C₂²×C₄₇	—	4	4	no	—
659	C₂²×C₄₇	—	4	8	no	—
660	C₂²×C₄₇	—	4	4	no	—
661	C₂²×C₄₇	—	8	16	no	—
662	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
663	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
664	C₂²×C₄₇	#585	1	2	yes	—
665	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
666	C₂×D₄₇	—	2	2	no	—
667	C₂×D₄₇	—	2	4	no	—
668	C₂×D₄₇	—	2	4	no	—
669	C₂×D₄₇	—	2	4	no	—
670	C₂×D₄₇	—	2	4	no	—
671	C₂×D₄₇	—	2	2	no	—
672	C₂×D₄₇	—	2	4	no	—
673	C₂×D₄₇	—	2	4	no	—
674	C₂×D₄₇	—	2	2	no	—
675	C₂×D₄₇	—	4	8	no	—
676	C₂×D₄₇	—	4	8	no	—
677	C₂×D₄₇	—	4	4	no	—
678	C₂×D₄₇	—	8	16	no	—
679	C₄×C₄₇	—	2	2	no	—
680	C₄×C₄₇	—	2	4	no	—
681	C₄×C₄₇	—	2	2	no	—
682	C₄×C₄₇	—	2	2	no	—
683	C₄×C₄₇	—	2	4	no	—
684	C₄×C₄₇	—	2	2	no	—
685	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
686	Dic₄₇	—	2	2	no	—
687	Dic₄₇	—	2	4	no	—
688	Dic₄₇	—	2	2	no	—
689	Dic₄₇	—	2	4	no	—
690	Dic₄₇	—	2	2	no	—
691	Dic₄₇	—	2	2	no	—
692	Dic₄₇	—	2	2	no	—
693	Dic₄₇	—	2	2	no	—
694	Dic₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
695	#3546	—	47	32	no	—
696	C₂×#560	—	47	2	no	—
697	C₂×#560	—	47	2	no	—
698	C₂×#556	—	47	1	no	—
699	C₂×#553	—	47	2	no	—
700	C₂×#550	—	47	1	no	—
701	C₂×#550	—	47	1	no	—
702	C₂×#550	—	47	1	no	—
703	C₂×#547	—	47	1	no	—
704	C₂×#546	—	47	1	no	—
705	C₂×#546	—	47	2	no	—
706	C₂×#546	D₄₇	1	1	yes	characteristic, complemented
707	C₂×D₄²	—	47	1	no	—
708	C₂×#542	—	47	1	no	—
709	C₂×#542	—	47	1	no	—
710	C₂×#538	—	47	2	no	—
711	C₂×#538	—	47	2	no	—
712	C₂×#537	—	47	2	no	—
713	C₂×#535	—	47	1	no	—
714	C₂×#535	—	47	1	no	—
715	C₂×#535	—	47	2	no	—
716	C₂×#532	—	47	1	no	—
717	C₂×#532	—	47	1	no	—
718	C₂×#529	—	47	1	no	—
719	C₂×C₄₇	—	4	4	no	—
720	C₂×C₄₇	—	4	2	no	—
721	C₂×C₄₇	—	4	4	no	—
722	C₂×C₄₇	—	4	2	no	—
723	C₂×C₄₇	#3546	1	4	yes	complemented
724	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
725	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
726	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
727	D₄₇	—	4	4	no	—
728	D₄₇	—	4	4	no	—
729	D₄₇	—	4	2	no	—
730	C₂²×#41	—	47	1	no	—
731	C₂²×#41	—	47	2	no	—
732	C₂²×#41	—	47	1	no	—
733	C₂²×#41	—	47	1	no	—
734	C₂²×#41	—	47	2	no	—
735	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
736	C₂³×D₄	—	47	2	no	—
737	C₂³×D₄	—	47	1	no	—
738	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic
739	#560	—	47	32	no	—
740	#560	—	47	32	no	—
741	#556	—	47	16	no	—
742	#553	—	47	32	no	—
743	#550	—	47	16	no	—
744	#550	—	47	16	no	—
745	#550	—	47	16	no	—
746	#547	—	47	16	no	—
747	#546	—	47	16	no	—
748	#546	—	47	32	no	—
749	#546	C₂×D₄₇	1	16	yes	complemented
750	D₄²	—	47	16	no	—
751	#542	—	47	16	no	—
752	#542	—	47	16	no	—
753	#538	—	47	32	no	—
754	#538	—	47	32	no	—
755	#537	—	47	32	no	—
756	#535	—	47	16	no	—
757	#535	—	47	16	no	—
758	#535	—	47	32	no	—
759	#532	—	47	16	no	—
760	#532	—	47	16	no	—
761	C₂×C₄⋊Q₈	—	47	1	no	—
762	C₂×C₄⋊Q₈	—	47	1	no	—
763	C₂×#127	—	47	1	no	—
764	C₂×#127	—	47	1	no	—
765	C₂×#127	—	47	1	no	—
766	C₂×#127	—	47	2	no	—
767	C₂×#127	—	47	2	no	—
768	C₂×#127	—	47	1	no	—
769	#529	—	47	16	no	—
770	C₂×#126	—	47	1	no	—
771	C₂×#126	—	47	2	no	—
772	C₂×#126	—	47	1	no	—
773	C₂×#126	—	47	2	no	—
774	C₂×#126	—	47	2	no	—
775	C₂×#126	—	47	2	no	—
776	C₂×#125	—	47	1	no	—
777	C₂×#124	—	47	1	no	—
778	C₂×#124	—	47	1	no	—
779	C₂×#124	—	47	1	no	—
780	C₂×#124	—	47	1	no	—
781	C₂×#124	—	47	2	no	—
782	C₂×#124	—	47	2	no	—
783	C₂×#124	—	47	2	no	—
784	C₂×#124	C₂×D₄₇	1	1	yes	characteristic
785	C₂×#123	—	47	1	no	—
786	C₂×#123	—	47	2	no	—
787	C₂×#123	—	47	2	no	—
788	C₂×#123	—	47	1	no	—
789	C₂×#123	—	47	2	no	—
790	C₂×#123	—	47	2	no	—
791	C₂×#123	—	47	2	no	—
792	C₂×#123	C₂×D₄₇	1	2	yes	complemented
793	C₂×C₂²⋊Q₈	—	47	2	no	—
794	C₂×C₂²⋊Q₈	—	47	2	no	—
795	C₂×C₂²⋊Q₈	—	47	1	no	—
796	C₂×C₂²⋊Q₈	—	47	1	no	—
797	C₂×C₂²⋊Q₈	—	47	2	no	—
798	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
799	C₂×#121	—	47	1	no	—
800	C₂×#121	—	47	2	no	—
801	C₂×#121	—	47	2	no	—
802	C₂×#121	—	47	2	no	—
803	C₂×#121	—	47	2	no	—
804	C₂×#121	—	47	2	no	—
805	C₂×#121	—	47	2	no	—
806	C₂×#121	—	47	2	no	—
807	C₂×#121	—	47	2	no	—
808	C₂×#121	—	47	1	no	—
809	C₂×#121	—	47	1	no	—
810	C₂×#121	—	47	2	no	—
811	C₂×#121	—	47	2	no	—
812	C₂×#121	—	47	1	no	—
813	C₂×#121	—	47	2	no	—
814	C₂×#121	—	47	2	no	—
815	C₂×#121	—	47	2	no	—
816	C₂×#121	—	47	2	no	—
817	C₂×#121	—	47	2	no	—
818	C₂×#121	—	47	2	no	—
819	C₂×#121	—	47	2	no	—
820	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
821	C₂×#121	C₂×D₄₇	1	2	yes	complemented
822	C₂×#120	—	47	2	no	—
823	C₂×#120	—	47	2	no	—
824	C₂×#120	—	47	2	no	—
825	C₂×#120	—	47	2	no	—
826	C₂×#120	—	47	2	no	—
827	C₂×#120	—	47	2	no	—
828	C₂×#120	—	47	2	no	—
829	C₂×#120	C₂×D₄₇	1	2	yes	complemented
830	C₂×C₄×Q₈	—	47	1	no	—
831	C₂×C₄×Q₈	—	47	1	no	—
832	C₂×C₄×Q₈	—	47	1	no	—
833	C₂×C₄×D₄	—	47	1	no	—
834	C₂×C₄×D₄	—	47	1	no	—
835	C₂×C₄×D₄	—	47	1	no	—
836	C₂×C₄×D₄	—	47	2	no	—
837	C₂×C₄×D₄	—	47	2	no	—
838	C₂×C₄×D₄	—	47	2	no	—
839	C₂×C₄×D₄	—	47	1	no	—
840	C₂×C₄×D₄	—	47	2	no	—
841	C₂×C₄×D₄	—	47	1	no	—
842	C₂×C₄×D₄	—	47	2	no	—
843	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
844	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
845	C₂×#117	—	47	1	no	—
846	C₂×#117	—	47	2	no	—
847	C₂×#117	—	47	1	no	—
848	C₂²×C₄⋊C₄	—	47	2	no	—
849	C₂²×C₂²⋊C₄	—	47	2	no	—
850	C₂²×C₂²⋊C₄	C₂×D₄₇	1	2	yes	complemented
851	C₂²×C₄²	—	47	1	no	—
852	C₄₇	C₂×#3546	1	1	yes	characteristic, complemented, Sylow
853	C₂⁵	—	47	2	no	—
854	C₂⁵	C₂²×D₄₇	1	2	yes	—
855	C₂×#41	—	4	4	no	—
856	C₂×#41	—	47	8	no	—
857	C₂×#41	—	47	16	no	—
858	C₂×#41	—	47	8	no	—
859	C₂×#41	—	47	8	no	—
860	C₂×#41	—	47	16	no	—
861	C₂×#41	—	188	4	no	—
862	C₂×#41	—	188	4	no	—
863	C₂×#41	—	188	8	no	—
864	C₂×#41	—	188	8	no	—
865	C₂×#41	—	188	4	no	—
866	C₂×#41	C₂²×D₄₇	1	8	yes	complemented
867	C₂²×Q₈	—	47	1	no	—
868	C₂²×Q₈	—	47	1	no	—
869	C₂²×Q₈	—	47	2	no	—
870	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
871	C₂²×D₄	—	4	4	no	—
872	C₂²×D₄	—	47	1	no	—
873	C₂²×D₄	—	47	2	no	—
874	C₂²×D₄	—	47	2	no	—
875	C₂²×D₄	—	47	2	no	—
876	C₂²×D₄	—	47	1	no	—
877	C₂²×D₄	—	47	2	no	—
878	C₂²×D₄	—	47	2	no	—
879	C₂²×D₄	—	47	2	no	—
880	C₂²×D₄	—	47	2	no	—
881	C₂²×D₄	—	47	2	no	—
882	C₂²×D₄	—	47	2	no	—
883	C₂²×D₄	—	47	2	no	—
884	C₂²×D₄	—	47	2	no	—
885	C₂²×D₄	—	47	2	no	—
886	C₂²×D₄	—	47	16	no	—
887	C₂²×D₄	—	47	8	no	—
888	C₂²×D₄	—	47	1	no	—
889	C₂²×D₄	—	47	1	no	—
890	C₂²×D₄	—	47	2	no	—
891	C₂²×D₄	—	47	2	no	—
892	C₂²×D₄	—	47	2	no	—
893	C₂²×D₄	—	188	4	no	—
894	C₂²×D₄	—	188	8	no	—
895	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
896	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
897	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
898	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
899	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
900	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
901	C₂²×D₄	C₂²×D₄₇	1	8	yes	—
902	C₂³×C₄	—	47	2	no	—
903	C₂³×C₄	—	47	1	no	—
904	C₂³×C₄	—	47	1	no	—
905	C₂³×C₄	—	47	2	no	—
906	C₂³×C₄	—	47	1	no	—
907	C₂³×C₄	—	47	2	no	—
908	C₂³×C₄	—	47	2	no	—
909	C₂³×C₄	—	47	2	no	—
910	C₂³×C₄	—	47	2	no	—
911	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
912	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
913	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
914	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
915	C₄⋊Q₈	—	47	8	no	—
916	C₄⋊Q₈	—	47	8	no	—
917	#127	—	47	8	no	—
918	#127	—	47	8	no	—
919	#127	—	47	8	no	—
920	#127	—	47	16	no	—
921	#127	—	47	16	no	—
922	#127	—	47	8	no	—
923	#126	—	47	8	no	—
924	#126	—	47	16	no	—
925	#126	—	47	8	no	—
926	#126	—	47	16	no	—
927	#126	—	47	16	no	—
928	#126	—	47	16	no	—
929	#125	—	47	8	no	—
930	#124	—	47	8	no	—
931	#124	—	47	8	no	—
932	#124	—	47	8	no	—
933	#124	—	47	8	no	—
934	#124	—	47	16	no	—
935	#124	—	47	16	no	—
936	#124	—	47	16	no	—
937	#124	C₂²×D₄₇	1	8	yes	—
938	#123	—	47	8	no	—
939	#123	—	47	16	no	—
940	#123	—	47	16	no	—
941	#123	—	47	8	no	—
942	#123	—	47	16	no	—
943	#123	—	47	16	no	—
944	#123	—	47	16	no	—
945	#123	C₂²×D₄₇	1	16	yes	complemented
946	C₂²⋊Q₈	—	47	16	no	—
947	C₂²⋊Q₈	—	47	16	no	—
948	C₂²⋊Q₈	—	47	8	no	—
949	C₂²⋊Q₈	—	47	8	no	—
950	C₂²⋊Q₈	—	47	16	no	—
951	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
952	#121	—	47	8	no	—
953	#121	—	47	16	no	—
954	#121	—	47	16	no	—
955	#121	—	47	16	no	—
956	#121	—	47	16	no	—
957	#121	—	47	16	no	—
958	#121	—	47	16	no	—
959	#121	—	47	16	no	—
960	#121	—	47	16	no	—
961	#121	—	47	8	no	—
962	#121	—	47	8	no	—
963	#121	—	47	16	no	—
964	#121	—	47	16	no	—
965	#121	—	47	8	no	—
966	#121	—	47	16	no	—
967	#121	—	47	16	no	—
968	#121	—	47	16	no	—
969	#121	—	47	16	no	—
970	#121	—	47	16	no	—
971	#121	—	47	16	no	—
972	#121	—	47	16	no	—
973	#121	C₂²×D₄₇	1	8	yes	—
974	#121	C₂²×D₄₇	1	16	yes	complemented
975	#120	—	47	16	no	—
976	#120	—	47	16	no	—
977	#120	—	47	16	no	—
978	#120	—	47	16	no	—
979	#120	—	47	16	no	—
980	#120	—	47	16	no	—
981	#120	—	47	16	no	—
982	#120	C₂²×D₄₇	1	16	yes	complemented
983	C₄×Q₈	—	47	8	no	—
984	C₄×Q₈	—	47	8	no	—
985	C₄×Q₈	—	47	8	no	—
986	C₄×D₄	—	47	8	no	—
987	C₄×D₄	—	47	8	no	—
988	C₄×D₄	—	47	8	no	—
989	C₄×D₄	—	47	16	no	—
990	C₄×D₄	—	47	16	no	—
991	C₄×D₄	—	47	16	no	—
992	C₄×D₄	—	47	8	no	—
993	C₄×D₄	—	47	16	no	—
994	C₄×D₄	—	47	8	no	—
995	C₄×D₄	—	47	16	no	—
996	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
997	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
998	#117	—	47	8	no	—
999	#117	—	47	16	no	—
1000	#117	—	47	8	no	—
1001	C₂×C₄⋊C₄	—	47	1	no	—
1002	C₂×C₄⋊C₄	—	47	2	no	—
1003	C₂×C₄⋊C₄	—	47	2	no	—
1004	C₂×C₄⋊C₄	—	47	1	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	1	no	—
1009	C₂×C₄⋊C₄	—	47	1	no	—
1010	C₂×C₄⋊C₄	—	47	1	no	—
1011	C₂×C₄⋊C₄	—	47	2	no	—
1012	C₂×C₄⋊C₄	—	47	2	no	—
1013	C₂×C₄⋊C₄	—	47	2	no	—
1014	C₂×C₄⋊C₄	—	47	2	no	—
1015	C₂×C₄⋊C₄	—	47	1	no	—
1016	C₂×C₄⋊C₄	—	47	1	no	—
1017	C₂×C₄⋊C₄	—	47	16	no	—
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	1	yes	characteristic
1021	C₂×C₂²⋊C₄	—	47	2	no	—
1022	C₂×C₂²⋊C₄	—	47	2	no	—
1023	C₂×C₂²⋊C₄	—	47	1	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	1	no	—
1034	C₂×C₂²⋊C₄	—	47	1	no	—
1035	C₂×C₂²⋊C₄	—	47	2	no	—
1036	C₂×C₂²⋊C₄	—	47	1	no	—
1037	C₂×C₂²⋊C₄	—	47	2	no	—
1038	C₂×C₂²⋊C₄	—	47	2	no	—
1039	C₂×C₂²⋊C₄	—	47	2	no	—
1040	C₂×C₂²⋊C₄	—	47	2	no	—
1041	C₂×C₂²⋊C₄	—	47	2	no	—
1042	C₂×C₂²⋊C₄	—	47	16	no	—
1043	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1044	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1046	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1047	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1048	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1049	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₄₇	1	16	yes	complemented
1051	C₂×C₄²	—	47	1	no	—
1052	C₂×C₄²	—	47	1	no	—
1053	C₂×C₄²	—	47	2	no	—
1054	C₂×C₄²	—	47	2	no	—
1055	C₂×C₄²	—	47	1	no	—
1056	C₂×C₄²	—	47	1	no	—
1057	C₂×C₄²	—	47	1	no	—
1058	C₂×C₄²	—	47	8	no	—
1059	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1060	C₂⁴	—	4	4	no	—
1061	C₂⁴	—	4	4	no	—
1062	C₂⁴	—	4	4	no	—
1063	C₂⁴	—	47	1	no	—
1064	C₂⁴	—	47	2	no	—
1065	C₂⁴	—	47	2	no	—
1066	C₂⁴	—	47	8	no	—
1067	C₂⁴	—	188	4	no	—
1068	C₂⁴	—	188	4	no	—
1069	C₂⁴	—	188	4	no	—
1070	C₂⁴	C₂³×D₄₇	1	2	yes	—
1071	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1072	C₂⁴	C₂³×D₄₇	1	2	yes	—
1073	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1074	C₂⁴	C₂³×D₄₇	1	8	yes	—
1075	#41	—	4	16	no	—
1076	#41	—	188	16	no	—
1077	#41	—	188	16	no	—
1078	#41	—	188	32	no	—
1079	#41	—	188	32	no	—
1080	#41	—	188	16	no	—
1081	C₂×Q₈	—	2	4	no	—
1082	C₂×Q₈	—	47	4	no	—
1083	C₂×Q₈	—	47	4	no	—
1084	C₂×Q₈	—	47	8	no	—
1085	C₂×Q₈	—	94	4	no	—
1086	C₂×Q₈	—	94	4	no	—
1087	C₂×Q₈	—	188	4	no	—
1088	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1089	C₂×D₄	—	2	4	no	—
1090	C₂×D₄	—	2	4	no	—
1091	C₂×D₄	—	4	16	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	4	2	no	—
1094	C₂×D₄	—	4	4	no	—
1095	C₂×D₄	—	4	4	no	—
1096	C₂×D₄	—	47	4	no	—
1097	C₂×D₄	—	47	8	no	—
1098	C₂×D₄	—	47	8	no	—
1099	C₂×D₄	—	47	8	no	—
1100	C₂×D₄	—	47	4	no	—
1101	C₂×D₄	—	47	8	no	—
1102	C₂×D₄	—	47	8	no	—
1103	C₂×D₄	—	47	8	no	—
1104	C₂×D₄	—	47	8	no	—
1105	C₂×D₄	—	47	8	no	—
1106	C₂×D₄	—	47	8	no	—
1107	C₂×D₄	—	47	8	no	—
1108	C₂×D₄	—	47	8	no	—
1109	C₂×D₄	—	47	8	no	—
1110	C₂×D₄	—	47	4	no	—
1111	C₂×D₄	—	47	4	no	—
1112	C₂×D₄	—	47	8	no	—
1113	C₂×D₄	—	47	8	no	—
1114	C₂×D₄	—	47	8	no	—
1115	C₂×D₄	—	94	4	no	—
1116	C₂×D₄	—	94	8	no	—
1117	C₂×D₄	—	94	4	no	—
1118	C₂×D₄	—	94	4	no	—
1119	C₂×D₄	—	188	4	no	—
1120	C₂×D₄	—	188	4	no	—
1121	C₂×D₄	—	188	4	no	—
1122	C₂×D₄	—	188	16	no	—
1123	C₂×D₄	—	188	32	no	—
1124	C₂×D₄	—	188	4	no	—
1125	C₂×D₄	—	188	4	no	—
1126	C₂×D₄	—	188	2	no	—
1127	C₂×D₄	—	188	4	no	—
1128	C₂×D₄	—	188	4	no	—
1129	C₂×D₄	—	188	4	no	—
1130	C₂×D₄	—	188	4	no	—
1131	C₂×D₄	—	188	4	no	—
1132	C₂×D₄	—	188	4	no	—
1133	C₂×D₄	—	188	4	no	—
1134	C₂×D₄	—	188	4	no	—
1135	C₂×D₄	—	188	4	no	—
1136	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1137	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1138	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1139	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1140	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1141	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1142	C₂²×C₄	—	2	4	no	—
1143	C₂²×C₄	—	2	4	no	—
1144	C₂²×C₄	—	4	4	no	—
1145	C₂²×C₄	—	4	4	no	—
1146	C₂²×C₄	—	47	1	no	—
1147	C₂²×C₄	—	47	4	no	—
1148	C₂²×C₄	—	47	8	no	—
1149	C₂²×C₄	—	47	1	no	—
1150	C₂²×C₄	—	47	1	no	—
1151	C₂²×C₄	—	47	1	no	—
1152	C₂²×C₄	—	47	1	no	—
1153	C₂²×C₄	—	47	2	no	—
1154	C₂²×C₄	—	47	1	no	—
1155	C₂²×C₄	—	47	2	no	—
1156	C₂²×C₄	—	47	1	no	—
1157	C₂²×C₄	—	47	4	no	—
1158	C₂²×C₄	—	47	8	no	—
1159	C₂²×C₄	—	47	4	no	—
1160	C₂²×C₄	—	47	8	no	—
1161	C₂²×C₄	—	47	8	no	—
1162	C₂²×C₄	—	47	8	no	—
1163	C₂²×C₄	—	47	8	no	—
1164	C₂²×C₄	—	94	8	no	—
1165	C₂²×C₄	—	94	8	no	—
1166	C₂²×C₄	—	94	4	no	—
1167	C₂²×C₄	—	94	4	no	—
1168	C₂²×C₄	—	188	4	no	—
1169	C₂²×C₄	—	188	4	no	—
1170	C₂²×C₄	—	188	4	no	—
1171	C₂²×C₄	—	188	4	no	—
1172	C₂²×C₄	—	188	2	no	—
1173	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1174	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1175	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1178	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1180	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1182	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1183	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1184	C₄⋊C₄	—	47	4	no	—
1185	C₄⋊C₄	—	47	8	no	—
1186	C₄⋊C₄	—	47	4	no	—
1187	C₄⋊C₄	—	47	4	no	—
1188	C₄⋊C₄	—	47	4	no	—
1189	C₄⋊C₄	—	47	4	no	—
1190	C₄⋊C₄	—	47	8	no	—
1191	C₄⋊C₄	—	47	8	no	—
1192	C₄⋊C₄	—	47	8	no	—
1193	C₄⋊C₄	—	47	4	no	—
1194	C₄⋊C₄	—	47	8	no	—
1195	C₄⋊C₄	—	47	4	no	—
1196	C₄⋊C₄	—	47	4	no	—
1197	C₄⋊C₄	—	47	4	no	—
1198	C₄⋊C₄	—	47	8	no	—
1199	C₄⋊C₄	—	47	4	no	—
1200	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1201	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1202	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1203	C₂²⋊C₄	—	47	8	no	—
1204	C₂²⋊C₄	—	47	8	no	—
1205	C₂²⋊C₄	—	47	4	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	4	no	—
1216	C₂²⋊C₄	—	47	4	no	—
1217	C₂²⋊C₄	—	47	8	no	—
1218	C₂²⋊C₄	—	47	4	no	—
1219	C₂²⋊C₄	—	47	8	no	—
1220	C₂²⋊C₄	—	47	8	no	—
1221	C₂²⋊C₄	—	47	8	no	—
1222	C₂²⋊C₄	—	47	8	no	—
1223	C₂²⋊C₄	—	47	8	no	—
1224	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1225	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1226	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1227	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1228	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1229	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1230	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1231	C₄²	—	47	4	no	—
1232	C₄²	—	47	4	no	—
1233	C₄²	—	47	4	no	—
1234	C₄²	—	47	4	no	—
1235	C₄²	—	47	4	no	—
1236	C₄²	—	47	8	no	—
1237	C₄²	—	47	8	no	—
1238	C₄²	C₂³×D₄₇	1	4	yes	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	2	no	—
1243	C₂³	—	2	2	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	4	no	—
1246	C₂³	—	2	4	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	2	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	4	no	—
1251	C₂³	—	4	8	no	—
1252	C₂³	—	4	8	no	—
1253	C₂³	—	4	8	no	—
1254	C₂³	—	8	16	no	—
1255	C₂³	—	47	2	no	—
1256	C₂³	—	47	4	no	—
1257	C₂³	—	47	4	no	—
1258	C₂³	—	94	4	no	—
1259	C₂³	—	94	4	no	—
1260	C₂³	—	94	2	no	—
1261	C₂³	—	94	2	no	—
1262	C₂³	—	94	4	no	—
1263	C₂³	—	94	4	no	—
1264	C₂³	—	94	4	no	—
1265	C₂³	—	94	4	no	—
1266	C₂³	—	94	2	no	—
1267	C₂³	—	376	16	no	—
1268	C₂³	—	188	8	no	—
1269	C₂³	—	188	8	no	—
1270	C₂³	—	188	8	no	—
1271	C₂³	C₂⁴×D₄₇	1	4	yes	—
1272	C₂³	C₂⁴×D₄₇	1	2	yes	—
1273	C₂³	C₂⁴×D₄₇	1	4	yes	—
1274	C₂³	C₂⁴×D₄₇	1	2	yes	—
1275	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1276	Q₈	—	2	8	no	—
1277	Q₈	—	94	8	no	—
1278	Q₈	—	94	8	no	—
1279	Q₈	—	188	8	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	2	8	no	—
1282	D₄	—	4	8	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	8	no	—
1285	D₄	—	4	8	no	—
1286	D₄	—	94	8	no	—
1287	D₄	—	94	16	no	—
1288	D₄	—	94	8	no	—
1289	D₄	—	94	8	no	—
1290	D₄	—	188	8	no	—
1291	D₄	—	188	8	no	—
1292	D₄	—	188	8	no	—
1293	D₄	—	188	8	no	—
1294	D₄	—	188	8	no	—
1295	D₄	—	188	4	no	—
1296	D₄	—	188	8	no	—
1297	D₄	—	188	8	no	—
1298	D₄	—	188	8	no	—
1299	D₄	—	188	8	no	—
1300	D₄	—	188	8	no	—
1301	D₄	—	188	8	no	—
1302	D₄	—	188	8	no	—
1303	D₄	—	188	8	no	—
1304	D₄	—	188	8	no	—
1305	C₂×C₄	—	2	2	no	—
1306	C₂×C₄	—	2	4	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	8	no	—
1312	C₂×C₄	—	2	8	no	—
1313	C₂×C₄	—	4	8	no	—
1314	C₂×C₄	—	4	8	no	—
1315	C₂×C₄	—	47	4	no	—
1316	C₂×C₄	—	47	2	no	—
1317	C₂×C₄	—	47	2	no	—
1318	C₂×C₄	—	47	2	no	—
1319	C₂×C₄	—	47	2	no	—
1320	C₂×C₄	—	47	2	no	—
1321	C₂×C₄	—	47	4	no	—
1322	C₂×C₄	—	47	2	no	—
1323	C₂×C₄	—	47	4	no	—
1324	C₂×C₄	—	47	2	no	—
1325	C₂×C₄	—	94	16	no	—
1326	C₂×C₄	—	94	16	no	—
1327	C₂×C₄	—	94	8	no	—
1328	C₂×C₄	—	94	4	no	—
1329	C₂×C₄	—	94	2	no	—
1330	C₂×C₄	—	94	2	no	—
1331	C₂×C₄	—	94	2	no	—
1332	C₂×C₄	—	94	4	no	—
1333	C₂×C₄	—	94	2	no	—
1334	C₂×C₄	—	94	2	no	—
1335	C₂×C₄	—	94	2	no	—
1336	C₂×C₄	—	94	8	no	—
1337	C₂×C₄	—	188	8	no	—
1338	C₂×C₄	—	188	8	no	—
1339	C₂×C₄	—	188	8	no	—
1340	C₂×C₄	—	188	8	no	—
1341	C₂×C₄	—	188	4	no	—
1342	C₂×C₄	#13094069	1	4	yes	—
1343	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1344	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1345	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1346	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1347	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1348	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1349	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1350	C₂²	—	2	4	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	2	2	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	2	4	no	—
1357	C₂²	—	2	4	no	—
1358	C₂²	—	2	2	no	—
1359	C₂²	—	2	2	no	—
1360	C₂²	—	2	4	no	—
1361	C₂²	—	2	4	no	—
1362	C₂²	—	4	4	no	—
1363	C₂²	—	4	8	no	—
1364	C₂²	—	4	8	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	8	16	no	—
1367	C₂²	—	94	4	no	—
1368	C₂²	—	94	4	no	—
1369	C₂²	—	94	2	no	—
1370	C₂²	—	94	2	no	—
1371	C₂²	—	94	4	no	—
1372	C₂²	—	94	4	no	—
1373	C₂²	—	94	4	no	—
1374	C₂²	—	94	4	no	—
1375	C₂²	—	94	2	no	—
1376	C₂²	—	376	16	no	—
1377	C₂²	—	188	4	no	—
1378	C₂²	—	188	8	no	—
1379	C₂²	—	188	8	no	—
1380	C₂²	H(5,𝔽₂)×D₄₇	1	2	yes	—
1381	C₂²	C₂×#13094069	1	2	yes	—
1382	C₂²	#15689959	1	2	yes	—
1383	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	2	4	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	47	4	no	—
1391	C₄	—	94	4	no	—
1392	C₄	—	94	2	no	—
1393	C₄	—	94	2	no	—
1394	C₄	—	94	2	no	—
1395	C₄	—	94	4	no	—
1396	C₄	—	94	2	no	—
1397	C₄	—	94	2	no	—
1398	C₄	—	94	2	no	—
1399	C₄	C₂×#13094069	1	4	yes	—
1400	C₂	—	4	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	4	no	—
1403	C₂	—	4	2	no	—
1404	C₂	—	188	2	no	—
1405	C₂	—	188	4	no	—
1406	C₂	—	188	4	no	—
1407	C₂	#20257755	1	4	yes	direct product factor
1408	C₂	C₂×H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1409	C₂	C₂²×#13094069	1	1	yes	characteristic
1410	C₂	C₂×#15689959	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#546	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#546	D₄₇
hypocenter	C₄₇	C₂×#3546
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. #20257755	C₂	direct (N × H)
2. C₂×#15689862	C₂	semidirect
3. C₂×#15689861	C₂	semidirect
4. C₂×#15689842	C₂	semidirect
5. C₂×#15689818	C₂	semidirect
6. C₂×#15689794	C₂	semidirect
7. C₂×#15689794	C₂	semidirect
8. C₂×#15689792	C₂	semidirect
9. C₂×#15689775	C₂	semidirect
10. C₂×#15689770	C₂	semidirect
11. C₂×#15689763	C₂	semidirect
12. C₂×D₄×C₂²⋊D₄₇	C₂	semidirect
13. C₂×#15689746	C₂	semidirect
14. C₂×#15689738	C₂	semidirect
15. C₂×#15689711	C₂	semidirect
16. C₂×#15689709	C₂	semidirect
17. C₂×#15689702	C₂	semidirect
18. C₂×#15689691	C₂	semidirect
19. C₂×#15689690	C₂	semidirect
20. C₂×#15689688	C₂	semidirect
21. C₂×#15689669	C₂	semidirect
22. C₂×#15689668	C₂	semidirect
23. C₂×#15689653	C₂	semidirect
24. C₂×C₄₇×#546	C₂	semidirect
25. C₂²×#10625354	C₂²	semidirect
26. C₂²×#10625350	C₂²	semidirect
27. C₂²×#10625350	C₂²	semidirect
28. C₂²×#10625350	C₂²	semidirect
29. C₂²×#10625352	C₂²	semidirect
32. #15689862	C₂²	semidirect
33. #15689861	C₂²	semidirect
34. #15689842	C₂²	semidirect
35. #15689818	C₂²	semidirect
36. #15689794	C₂²	semidirect
37. #15689794	C₂²	semidirect
38. #15689792	C₂²	semidirect
39. #15689775	C₂²	semidirect
40. #15689770	C₂²	semidirect
41. #15689763	C₂²	semidirect
42. D₄×C₂²⋊D₄₇	C₂²	semidirect
43. #15689746	C₂²	semidirect
44. #15689738	C₂²	semidirect
45. #15689711	C₂²	semidirect
46. #15689709	C₂²	semidirect
47. #15689702	C₂²	semidirect
48. #15689691	C₂²	semidirect
49. #15689690	C₂²	semidirect
50. #15689688	C₂²	semidirect
51. #15689669	C₂²	semidirect
52. #15689668	C₂²	semidirect
53. C₂×#13094023	C₂²	semidirect
54. C₂×#13094022	C₂²	semidirect
55. C₂×#13094021	C₂²	semidirect
58. C₂×#13094020	C₂²	semidirect
59. C₂×#13094020	C₂²	semidirect
60. C₂×#13094020	C₂²	semidirect
61. #15689653	C₂²	semidirect
62. C₂×#13094019	C₂²	semidirect
63. C₂×#13094019	C₂²	semidirect
64. C₂×#13094017	C₂²	semidirect
65. C₂×#13094017	C₂²	semidirect
66. C₂×#13094017	C₂²	semidirect
67. C₂×#13094017	C₂²	semidirect
68. C₂×#13094014	C₂²	semidirect
69. C₂×#13094013	C₂²	semidirect
71. C₂×#13094011	C₂²	semidirect
73. C₂×#13094010	C₂²	semidirect
74. C₂×#13094010	C₂²	semidirect
75. C₂×#13094010	C₂²	semidirect
76. C₂×#13094009	C₂²	semidirect
77. C₂×#13094008	C₂²	semidirect
78. C₂×#13094007	C₂²	semidirect
79. C₂×#13094006	C₂²	semidirect
80. C₂×#13094006	C₂²	semidirect
81. C₂×#13094006	C₂²	semidirect
82. C₂×#13094005	C₂²	semidirect
83. C₂×#13094004	C₂²	semidirect
84. C₂×#13094004	C₂²	semidirect
85. C₂×#13094003	C₂²	semidirect
86. C₂×#13094001	C₂²	semidirect
87. C₂×#13094001	C₂²	semidirect
89. C₂×#13093998	C₂²	semidirect
90. C₂×#13093998	C₂²	semidirect
91. C₂×#13093998	C₂²	semidirect
93. C₂×#13093997	C₂²	semidirect
94. C₂×#13093997	C₂²	semidirect
95. C₂×#13093997	C₂²	semidirect
96. C₂×#13093997	C₂²	semidirect
97. C₂×#13093997	C₂²	semidirect
98. C₂×#13093997	C₂²	semidirect
101. C₂×#13093996	C₂²	semidirect
102. C₂×#13093996	C₂²	semidirect
103. C₂×#13093996	C₂²	semidirect
105. C₂×#13093995	C₂²	semidirect
106. C₂×#13093995	C₂²	semidirect
107. C₂×#13093995	C₂²	semidirect
108. C₂×#13093995	C₂²	semidirect
109. C₂×#13093994	C₂²	semidirect
110. C₂×#13093994	C₂²	semidirect
112. C₂×#13093993	C₂²	semidirect
113. C₂×#13093993	C₂²	semidirect
115. C₂×#13093992	C₂²	semidirect
116. C₂×Q₈×Dic₄₇	C₂²	semidirect
117. C₂×C₄×Dic₉₄	C₂²	semidirect
118. C₂×C₄×Dic₉₄	C₂²	semidirect
120. C₂×#13093986	C₂²	semidirect
121. C₂×#13093986	C₂²	semidirect
122. C₂×#13093986	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
126. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
127. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
128. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
129. C₂×#13093983	C₂²	semidirect
130. C₂×#13093981	C₂²	semidirect
131. C₂×#13093980	C₂²	semidirect
132. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
134. C₂²×C₄×Dic₄₇	C₂²	semidirect
135. C₂²×#41×C₄₇	C₂²	semidirect
137. C₄₇×#546	C₂²	semidirect
139. C₂×#123×C₄₇	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
142. C₂×#121×C₄₇	C₂²	semidirect
143. C₂×#120×C₄₇	C₂²	semidirect
144. C₂×C₄×D₄×C₄₇	C₂²	semidirect
145. C₂×C₄×D₄×C₄₇	C₂²	semidirect
146. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
149. C₂×#10625354	C₂³	semidirect
153. C₂×#10625350	C₂³	semidirect
154. C₂×#10625350	C₂³	semidirect
155. C₂×#10625350	C₂³	semidirect
157. C₂×#10625352	C₂³	semidirect
193. #13094023	C₂³	semidirect
194. #13094022	C₂³	semidirect
195. #13094021	C₂³	semidirect
198. #13094020	C₂³	semidirect
199. #13094020	C₂³	semidirect
200. #13094020	C₂³	semidirect
201. #13094019	C₂³	semidirect
202. #13094019	C₂³	semidirect
203. #13094017	C₂³	semidirect
204. #13094017	C₂³	semidirect
205. #13094017	C₂³	semidirect
206. #13094017	C₂³	semidirect
207. #13094014	C₂³	semidirect
208. #13094013	C₂³	semidirect
210. #13094011	C₂³	semidirect
212. #13094010	C₂³	semidirect
213. #13094010	C₂³	semidirect
214. #13094010	C₂³	semidirect
215. #13094009	C₂³	semidirect
216. #13094008	C₂³	semidirect
217. #13094007	C₂³	semidirect
218. #13094006	C₂³	semidirect
219. #13094006	C₂³	semidirect
220. #13094006	C₂³	semidirect
221. #13094005	C₂³	semidirect
222. #13094004	C₂³	semidirect
223. #13094004	C₂³	semidirect
224. #13094003	C₂³	semidirect
225. #13094001	C₂³	semidirect
226. #13094001	C₂³	semidirect
228. #13093998	C₂³	semidirect
229. #13093998	C₂³	semidirect
230. #13093998	C₂³	semidirect
232. #13093997	C₂³	semidirect
233. #13093997	C₂³	semidirect
234. #13093997	C₂³	semidirect
235. #13093997	C₂³	semidirect
236. #13093997	C₂³	semidirect
237. #13093997	C₂³	semidirect
240. #13093996	C₂³	semidirect
241. #13093996	C₂³	semidirect
242. #13093996	C₂³	semidirect
244. #13093995	C₂³	semidirect
245. #13093995	C₂³	semidirect
246. #13093995	C₂³	semidirect
247. #13093995	C₂³	semidirect
248. #13093994	C₂³	semidirect
249. #13093994	C₂³	semidirect
251. #13093993	C₂³	semidirect
252. #13093993	C₂³	semidirect
254. #13093992	C₂³	semidirect
255. Q₈×Dic₄₇	C₂³	semidirect
256. C₄×Dic₉₄	C₂³	semidirect
257. C₄×Dic₉₄	C₂³	semidirect
259. #13093986	C₂³	semidirect
260. #13093986	C₂³	semidirect
261. #13093986	C₂³	semidirect
263. C₄×C₂²⋊D₄₇	C₂³	semidirect
264. C₄×C₂²⋊D₄₇	C₂³	semidirect
265. C₄×C₂²⋊D₄₇	C₂³	semidirect
266. C₄×C₂²⋊D₄₇	C₂³	semidirect
267. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
268. #13093983	C₂³	semidirect
269. #13093981	C₂³	semidirect
270. #13093980	C₂³	semidirect
287. C₄⋊C₄×D₄₇	C₂³	semidirect
309. C₂²⋊C₄×D₄₇	C₂³	semidirect
317. C₂×C₄×Dic₄₇	C₂³	semidirect
320. C₂×#41×C₄₇	C₂³	semidirect
335. #123×C₄₇	C₂³	semidirect
336. C₂²⋊Q₈×C₄₇	C₂³	semidirect
338. #121×C₄₇	C₂³	semidirect
339. #120×C₄₇	C₂³	semidirect
340. C₄×D₄×C₄₇	C₂³	semidirect
341. C₄×D₄×C₄₇	C₂³	semidirect
352. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
706. C₂×#546	D₄₇	semidirect
723. C₂×C₄₇	#3546	semidirect
735. C₂²×#41	C₂×D₄₇	semidirect
749. #546	C₂×D₄₇	semidirect
792. C₂×#123	C₂×D₄₇	semidirect
798. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
821. C₂×#121	C₂×D₄₇	semidirect
829. C₂×#120	C₂×D₄₇	semidirect
843. C₂×C₄×D₄	C₂×D₄₇	semidirect
844. C₂×C₄×D₄	C₂×D₄₇	semidirect
850. C₂²×C₂²⋊C₄	C₂×D₄₇	semidirect
852. C₄₇	C₂×#3546	semidirect
866. C₂×#41	C₂²×D₄₇	semidirect
945. #123	C₂²×D₄₇	semidirect
951. C₂²⋊Q₈	C₂²×D₄₇	semidirect
974. #121	C₂²×D₄₇	semidirect
982. #120	C₂²×D₄₇	semidirect
996. C₄×D₄	C₂²×D₄₇	semidirect
997. C₄×D₄	C₂²×D₄₇	semidirect
1050. C₂×C₂²⋊C₄	C₂²×D₄₇	semidirect
1407. C₂	#20257755	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257755	2
C₂×#15689862	2
C₂×#15689861	2
C₂×#15689842	2
C₂×#15689818	2
C₂×#15689794	2
C₂×#15689792	2
C₂×#15689775	2
C₂×#15689770	2
C₂×#15689763	2
C₂×D₄×C₂²⋊D₄₇	2
C₂×#15689746	2
C₂×#15689738	2
C₂×#15689711	2
C₂×#15689709	2
C₂×#15689702	2
C₂×#15689691	2
C₂×#15689690	2
C₂×#15689688	2
C₂×#15689669	2
C₂×#15689668	2
C₂×#15689653	2
C₂×C₄₇×#546	2
C₂×#3546	47

Subgroups — C2×#20257755 #27123911

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257755 #27123911