Subgroups — C₂×#20257978 #27123759

Order 12032.

7354 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257978	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689870	C₂	1	2	yes	maximal, complemented
3	C₂×#15689861	C₂	1	2	yes	maximal, complemented
4	C₂×#15689856	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689843	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689825	C₂	1	2	yes	maximal, complemented
7	C₂×#15689796	C₂	1	2	yes	maximal, complemented
8	C₂×#15689791	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15689779	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15689779	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689777	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689770	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689768	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15689736	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689726	C₂	1	2	yes	maximal, complemented
16	C₂×#15689717	C₂	1	2	yes	maximal, complemented
17	C₂×#15689710	C₂	1	2	yes	maximal, complemented
18	C₂×#15689709	C₂	1	2	yes	maximal, complemented
19	C₂×#15689699	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#15689686	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#15689671	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689658	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#15689651	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#540	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625350	C₂²	1	1	yes	characteristic
26	C₂²×#10625352	C₂²	1	1	yes	characteristic
27	C₂²×#10625352	C₂²	1	1	yes	characteristic
28	C₂²×#10625352	C₂²	1	1	yes	characteristic, complemented
29	C₂³×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic
31	#15689870	C₂²	1	32	yes	complemented
32	#15689861	C₂²	1	32	yes	complemented
33	#15689856	C₂²	1	16	yes	complemented
34	#15689843	C₂²	1	16	yes	complemented
35	#15689825	C₂²	1	32	yes	complemented
36	#15689796	C₂²	1	32	yes	complemented
37	#15689791	C₂²	1	16	yes	complemented
38	#15689779	C₂²	1	16	yes	complemented
39	#15689779	C₂²	1	16	yes	complemented
40	#15689777	C₂²	1	16	yes	complemented
41	#15689770	C₂²	1	16	yes	complemented
42	#15689768	C₂²	1	16	yes	complemented
43	#15689736	C₂²	1	16	yes	complemented
44	#15689726	C₂²	1	32	yes	complemented
45	#15689717	C₂²	1	32	yes	complemented
46	#15689710	C₂²	1	32	yes	complemented
47	#15689709	C₂²	1	32	yes	complemented
48	#15689699	C₂²	1	16	yes	complemented
49	#15689686	C₂²	1	16	yes	complemented
50	#15689671	C₂²	1	16	yes	complemented
51	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
52	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
53	C₂×#13094020	C₂²	1	1	yes	characteristic
54	C₂×#13094020	C₂²	1	2	yes	complemented
55	#15689658	C₂²	1	16	yes	complemented
56	#15689651	C₂²	1	16	yes	complemented
57	C₂×#13094019	C₂²	1	1	yes	characteristic
58	C₂×#13094019	C₂²	1	2	yes	—
59	C₂×#13094019	C₂²	1	2	yes	—
60	C₂×#13094019	C₂²	1	2	yes	complemented
61	C₂×#13094017	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13094017	C₂²	1	2	yes	complemented
63	C₂×#13094017	C₂²	1	2	yes	complemented
64	C₂×#13094015	C₂²	1	2	yes	complemented
65	C₂×#13094015	C₂²	1	2	yes	complemented
66	C₂×#13094014	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13094012	C₂²	1	1	yes	characteristic
68	C₂×#13094012	C₂²	1	1	yes	characteristic
69	C₂×#13094011	C₂²	1	1	yes	characteristic
70	C₂×#13094011	C₂²	1	1	yes	characteristic
71	C₂×#13094011	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13094010	C₂²	1	2	yes	—
73	C₂×#13094010	C₂²	1	1	yes	characteristic
74	C₂×#13094010	C₂²	1	2	yes	complemented
75	C₂×#13094010	C₂²	1	2	yes	complemented
76	C₂×#13094009	C₂²	1	1	yes	characteristic
77	C₂×#13094009	C₂²	1	2	yes	complemented
78	C₂×#13094008	C₂²	1	2	yes	—
79	C₂×#13094008	C₂²	1	2	yes	—
80	C₂×#13094008	C₂²	1	2	yes	complemented
81	C₂×#13094008	C₂²	1	2	yes	complemented
82	C₂×#13094008	C₂²	1	2	yes	complemented
83	C₂×#13094007	C₂²	1	2	yes	complemented
84	C₂×#13094006	C₂²	1	2	yes	—
85	C₂×#13094006	C₂²	1	2	yes	complemented
86	C₂×#13094006	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13094004	C₂²	1	1	yes	characteristic
88	C₂×#13094004	C₂²	1	1	yes	characteristic
89	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13094004	C₂²	1	2	yes	complemented
91	C₂×#13094004	C₂²	1	2	yes	complemented
92	C₂×#13094003	C₂²	1	2	yes	complemented
93	C₂×#13094002	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13094001	C₂²	1	2	yes	complemented
95	C₂×#13094001	C₂²	1	2	yes	complemented
96	C₂×#13093999	C₂²	1	1	yes	characteristic
97	C₂×#13093998	C₂²	1	2	yes	—
98	C₂×#13093998	C₂²	1	2	yes	—
99	C₂×#13093997	C₂²	1	1	yes	characteristic
100	C₂×#13093997	C₂²	1	2	yes	complemented
101	C₂×#13093996	C₂²	1	2	yes	—
102	C₂×#13093996	C₂²	1	2	yes	—
103	C₂×#13093996	C₂²	1	2	yes	—
104	C₂×#13093996	C₂²	1	2	yes	complemented
105	C₂×#13093996	C₂²	1	2	yes	complemented
106	C₂×#13093995	C₂²	1	2	yes	—
107	C₂×#13093995	C₂²	1	2	yes	complemented
108	C₂×#13093995	C₂²	1	2	yes	complemented
109	C₂×#13093994	C₂²	1	2	yes	—
110	C₂×#13093992	C₂²	1	2	yes	—
111	C₂×#13093992	C₂²	1	2	yes	—
112	C₂×#13093992	C₂²	1	2	yes	—
113	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13093989	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13093989	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13093989	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
118	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
119	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
120	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
121	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
122	C₂×#13093986	C₂²	1	1	yes	characteristic
123	C₂×#13093986	C₂²	1	2	yes	complemented
124	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
125	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
127	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
128	C₂×#13093983	C₂²	1	2	yes	complemented
129	C₂×#13093982	C₂²	1	2	yes	complemented
130	C₂×#13093981	C₂²	1	1	yes	characteristic
131	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
132	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	—
134	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₄₇×#540	C₂²	1	16	yes	complemented
136	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
137	C₂×#125×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×#121×C₄₇	C₂²	1	1	yes	characteristic
141	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic, complemented
142	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
143	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
144	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
145	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
146	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₄₇	C₂³	1	2	yes	—
148	C₂×#10625350	—	4	4	no	—
149	C₂×#10625350	C₂³	1	8	yes	—
150	C₂×#10625352	—	4	4	no	—
151	C₂×#10625352	—	4	4	no	—
152	C₂×#10625352	—	4	4	no	—
153	C₂×#10625352	C₂³	1	8	yes	—
154	C₂×#10625352	C₂³	1	8	yes	—
155	C₂×#10625352	C₂³	1	8	yes	complemented
156	C₂²×Dic₉₄	—	4	4	no	—
157	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
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	8	yes	complemented
163	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
164	C₂²×D₁₈₈	C₂³	1	2	yes	—
165	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
170	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
175	C₂×D₄×D₄₇	—	4	4	no	—
176	C₂×D₄×D₄₇	C₂³	1	8	yes	—
177	C₂³×Dic₄₇	C₂³	1	2	yes	—
178	C₂³×Dic₄₇	C₂³	1	2	yes	—
179	C₂³×Dic₄₇	C₂³	1	2	yes	—
180	C₂³×Dic₄₇	C₂³	1	2	yes	—
181	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
186	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
187	#13094024	C₂³	1	8	yes	complemented
188	#13094024	C₂³	1	8	yes	complemented
189	#13094020	C₂³	1	8	yes	—
190	#13094020	C₂³	1	16	yes	complemented
191	#13094019	C₂³	1	16	yes	—
192	#13094019	C₂³	1	16	yes	—
193	#13094019	C₂³	1	8	yes	—
194	#13094019	C₂³	1	16	yes	complemented
195	#13094017	C₂³	1	8	yes	complemented
196	#13094017	C₂³	1	16	yes	complemented
197	#13094017	C₂³	1	16	yes	complemented
198	#13094015	C₂³	1	16	yes	complemented
199	#13094015	C₂³	1	16	yes	complemented
200	#13094014	C₂³	1	8	yes	complemented
201	#13094012	C₂³	1	8	yes	—
202	#13094012	C₂³	1	8	yes	—
203	#13094011	C₂³	1	8	yes	—
204	#13094011	C₂³	1	8	yes	—
205	#13094011	C₂³	1	8	yes	complemented
206	#13094010	C₂³	1	16	yes	—
207	#13094010	C₂³	1	8	yes	—
208	#13094010	C₂³	1	16	yes	complemented
209	#13094010	C₂³	1	16	yes	complemented
210	#13094009	C₂³	1	8	yes	—
211	#13094009	C₂³	1	16	yes	complemented
212	#13094008	C₂³	1	16	yes	—
213	#13094008	C₂³	1	16	yes	—
214	#13094008	C₂³	1	16	yes	complemented
215	#13094008	C₂³	1	16	yes	complemented
216	#13094008	C₂³	1	16	yes	complemented
217	#13094007	C₂³	1	16	yes	complemented
218	#13094006	C₂³	1	16	yes	—
219	#13094006	C₂³	1	16	yes	complemented
220	#13094006	C₂³	1	8	yes	complemented
221	#13094004	C₂³	1	8	yes	—
222	#13094004	C₂³	1	8	yes	—
223	#13094004	C₂³	1	8	yes	complemented
224	#13094004	C₂³	1	16	yes	complemented
225	#13094004	C₂³	1	16	yes	complemented
226	#13094003	C₂³	1	16	yes	complemented
227	#13094002	C₂³	1	8	yes	complemented
228	#13094001	C₂³	1	16	yes	complemented
229	#13094001	C₂³	1	16	yes	complemented
230	#13093999	C₂³	1	8	yes	—
231	#13093998	C₂³	1	16	yes	—
232	#13093998	C₂³	1	16	yes	—
233	#13093997	C₂³	1	8	yes	—
234	#13093997	C₂³	1	16	yes	complemented
235	#13093996	C₂³	1	16	yes	—
236	#13093996	C₂³	1	16	yes	—
237	#13093996	C₂³	1	16	yes	—
238	#13093996	C₂³	1	16	yes	complemented
239	#13093996	C₂³	1	16	yes	complemented
240	#13093995	C₂³	1	16	yes	—
241	#13093995	C₂³	1	16	yes	complemented
242	#13093995	C₂³	1	16	yes	complemented
243	#13093994	C₂³	1	16	yes	—
244	#13093992	C₂³	1	16	yes	—
245	#13093992	C₂³	1	16	yes	—
246	#13093992	C₂³	1	16	yes	—
247	C₄×Dic₉₄	C₂³	1	8	yes	complemented
248	#13093989	C₂³	1	8	yes	complemented
249	#13093989	C₂³	1	8	yes	complemented
250	#13093989	C₂³	1	8	yes	complemented
251	C₄×D₁₈₈	C₂³	1	8	yes	—
252	D₄×Dic₄₇	C₂³	1	16	yes	complemented
253	D₄×Dic₄₇	C₂³	1	16	yes	complemented
254	D₄×Dic₄₇	C₂³	1	16	yes	complemented
255	D₄×Dic₄₇	C₂³	1	16	yes	complemented
256	#13093986	C₂³	1	8	yes	—
257	#13093986	C₂³	1	16	yes	complemented
258	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
259	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
260	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
261	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
262	#13093983	C₂³	1	16	yes	complemented
263	#13093982	C₂³	1	16	yes	complemented
264	#13093981	C₂³	1	8	yes	—
265	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
267	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
268	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
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	16	yes	complemented
275	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
281	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
282	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
283	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
291	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
292	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	yes	—
293	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
308	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	—
309	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
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	2	yes	—
314	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
315	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
316	C₄²×D₄₇	C₂³	1	8	yes	complemented
317	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
318	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
319	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
320	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
321	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
322	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
323	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
325	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
326	#127×C₄₇	C₂³	1	8	yes	—
327	#125×C₄₇	C₂³	1	8	yes	complemented
328	#123×C₄₇	C₂³	1	16	yes	complemented
329	#123×C₄₇	C₂³	1	16	yes	complemented
330	#121×C₄₇	C₂³	1	8	yes	—
331	#121×C₄₇	C₂³	1	8	yes	complemented
332	#121×C₄₇	C₂³	1	16	yes	complemented
333	#121×C₄₇	C₂³	1	16	yes	complemented
334	C₄×D₄×C₄₇	C₂³	1	8	yes	—
335	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
336	#117×C₄₇	C₂³	1	8	yes	complemented
337	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
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	2	yes	—
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
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×C₄²×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
351	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
352	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
354	C₂³×D₄₇	—	4	4	no	—
355	C₂³×D₄₇	—	4	4	no	—
356	C₂³×D₄₇	—	4	4	no	—
357	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
358	C₂³×D₄₇	C₂⁴	1	2	yes	—
359	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
360	C₂³×D₄₇	C₂⁴	1	8	yes	—
361	C₂×D₄×C₄₇	—	2	4	no	—
362	C₂×D₄×C₄₇	—	2	4	no	—
363	C₂×D₄×C₄₇	—	4	4	no	—
364	C₂×D₄×C₄₇	—	4	4	no	—
365	C₂×D₄×C₄₇	—	4	4	no	—
366	C₂×D₄×C₄₇	—	4	4	no	—
367	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
368	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
369	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
370	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
371	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
372	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
373	C₂²×C₄×C₄₇	—	2	4	no	—
374	C₂²×C₄×C₄₇	—	4	4	no	—
375	C₂²×C₄×C₄₇	—	4	4	no	—
376	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
382	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
385	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
386	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂×C₂²⋊D₄₇	—	4	4	no	—
388	C₂×C₂²⋊D₄₇	—	4	2	no	—
389	C₂×C₂²⋊D₄₇	—	4	4	no	—
390	C₂×C₂²⋊D₄₇	—	4	2	no	—
391	C₂×C₂²⋊D₄₇	—	4	4	no	—
392	C₂×C₂²⋊D₄₇	—	4	4	no	—
393	C₂×C₂²⋊D₄₇	—	4	4	no	—
394	C₂×C₂²⋊D₄₇	—	4	4	no	—
395	C₂×C₂²⋊D₄₇	—	4	4	no	—
396	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
397	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
398	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
400	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
405	C₂²×Dic₄₇	—	4	4	no	—
406	C₂²×Dic₄₇	—	4	4	no	—
407	C₂²×Dic₄₇	—	4	4	no	—
408	C₂²×Dic₄₇	—	4	4	no	—
409	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
415	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
416	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
417	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
419	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
420	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
421	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
422	#10625352	—	4	16	no	—
423	#10625352	—	4	16	no	—
424	#10625352	—	4	16	no	—
425	D₄×D₄₇	—	4	16	no	—
426	#10625350	—	4	16	no	—
427	C₂×D₁₈₈	—	2	4	no	—
428	C₂×D₁₈₈	—	4	2	no	—
429	C₂×D₁₈₈	—	4	4	no	—
430	C₂×D₁₈₈	C₂⁴	1	4	yes	—
431	C₂×D₁₈₈	C₂⁴	1	8	yes	—
432	C₂×D₁₈₈	C₂⁴	1	4	yes	—
433	C₂×C₄×D₄₇	—	2	4	no	—
434	C₂×C₄×D₄₇	—	2	4	no	—
435	C₂×C₄×D₄₇	—	4	2	no	—
436	C₂×C₄×D₄₇	—	4	4	no	—
437	C₂×C₄×D₄₇	—	4	2	no	—
438	C₂×C₄×D₄₇	—	4	4	no	—
439	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
440	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
441	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
442	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
443	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
444	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
445	C₂×Dic₉₄	—	2	4	no	—
446	C₂×Dic₉₄	—	2	4	no	—
447	C₂×Dic₉₄	—	2	4	no	—
448	C₂×Dic₉₄	—	4	16	no	—
449	C₂×Dic₉₄	—	4	4	no	—
450	C₂×Dic₉₄	—	4	2	no	—
451	C₂×Dic₉₄	C₂⁴	1	4	yes	—
452	C₂×Dic₉₄	C₂⁴	1	4	yes	—
453	C₂×Dic₉₄	C₂⁴	1	4	yes	—
454	C₂×Dic₉₄	C₂⁴	1	4	yes	—
455	C₂×Dic₉₄	C₂⁴	1	8	yes	—
456	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
457	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
458	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
459	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
460	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
461	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
462	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
463	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
464	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
465	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
466	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
467	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
468	C₄²×C₄₇	C₂⁴	1	4	yes	—
469	C₄²×C₄₇	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
473	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
475	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
478	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
479	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
481	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
485	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
486	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
487	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
488	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
489	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
490	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
491	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
492	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
493	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
494	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
495	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
496	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
497	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
498	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
499	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
500	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
501	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
502	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
503	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
504	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
505	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
506	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
507	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
508	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
509	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
510	Dic₄₇⋊C₄	C₂⁴	1	4	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	C₄×Dic₄₇	C₂⁴	1	8	yes	—
517	C₄×Dic₄₇	C₂⁴	1	8	yes	—
518	C₂³×C₄₇	—	2	2	no	—
519	C₂³×C₄₇	—	2	4	no	—
520	C₂³×C₄₇	—	2	4	no	—
521	C₂³×C₄₇	—	2	4	no	—
522	C₂³×C₄₇	—	2	2	no	—
523	C₂³×C₄₇	—	2	2	no	—
524	C₂³×C₄₇	—	2	4	no	—
525	C₂³×C₄₇	—	2	4	no	—
526	C₂³×C₄₇	—	2	4	no	—
527	C₂³×C₄₇	C₂⁵	1	4	yes	—
528	C₂³×C₄₇	C₂⁵	1	2	yes	—
529	C₂³×C₄₇	C₂⁵	1	4	yes	—
530	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
531	C₂²×D₄₇	—	2	2	no	—
532	C₂²×D₄₇	—	2	2	no	—
533	C₂²×D₄₇	—	2	4	no	—
534	C₂²×D₄₇	—	2	2	no	—
535	C₂²×D₄₇	—	2	2	no	—
536	C₂²×D₄₇	—	2	4	no	—
537	C₂²×D₄₇	—	2	4	no	—
538	C₂²×D₄₇	—	2	2	no	—
539	C₂²×D₄₇	—	2	2	no	—
540	C₂²×D₄₇	—	4	8	no	—
541	C₂²×D₄₇	—	4	8	no	—
542	C₂²×D₄₇	—	4	8	no	—
543	C₂²×D₄₇	—	8	16	no	—
544	C₂²×D₄₇	C₂⁵	1	2	yes	—
545	C₂²×D₄₇	C₂⁵	1	4	yes	—
546	C₂²×D₄₇	C₂⁵	1	2	yes	—
547	D₄×C₄₇	—	2	8	no	—
548	D₄×C₄₇	—	2	8	no	—
549	D₄×C₄₇	—	4	8	no	—
550	D₄×C₄₇	—	4	8	no	—
551	D₄×C₄₇	—	4	8	no	—
552	D₄×C₄₇	—	4	8	no	—
553	C₂×C₄×C₄₇	—	2	2	no	—
554	C₂×C₄×C₄₇	—	2	2	no	—
555	C₂×C₄×C₄₇	—	2	4	no	—
556	C₂×C₄×C₄₇	—	2	2	no	—
557	C₂×C₄×C₄₇	—	2	2	no	—
558	C₂×C₄×C₄₇	—	2	2	no	—
559	C₂×C₄×C₄₇	—	2	4	no	—
560	C₂×C₄×C₄₇	—	2	8	no	—
561	C₂×C₄×C₄₇	—	4	8	no	—
562	C₂×C₄×C₄₇	—	4	8	no	—
563	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
564	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
565	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
566	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
567	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
568	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
569	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
570	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
571	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
572	C₂²⋊D₄₇	—	4	8	no	—
573	C₂²⋊D₄₇	—	4	8	no	—
574	C₂²⋊D₄₇	—	4	8	no	—
575	C₂²⋊D₄₇	—	4	8	no	—
576	C₂²⋊D₄₇	—	4	8	no	—
577	C₂²⋊D₄₇	—	4	4	no	—
578	C₂²⋊D₄₇	—	4	8	no	—
579	C₂²⋊D₄₇	—	4	4	no	—
580	C₂²⋊D₄₇	—	4	8	no	—
581	C₂×Dic₄₇	—	2	4	no	—
582	C₂×Dic₄₇	—	2	4	no	—
583	C₂×Dic₄₇	—	2	4	no	—
584	C₂×Dic₄₇	—	2	2	no	—
585	C₂×Dic₄₇	—	2	2	no	—
586	C₂×Dic₄₇	—	2	2	no	—
587	C₂×Dic₄₇	—	2	2	no	—
588	C₂×Dic₄₇	—	2	2	no	—
589	C₂×Dic₄₇	—	2	2	no	—
590	C₂×Dic₄₇	—	4	8	no	—
591	C₂×Dic₄₇	—	4	8	no	—
592	C₂×Dic₄₇	—	4	8	no	—
593	C₂×Dic₄₇	—	4	8	no	—
594	C₂×Dic₄₇	C₂⁵	1	2	yes	—
595	C₂×Dic₄₇	C₂⁵	1	2	yes	—
596	C₂×Dic₄₇	C₂⁵	1	2	yes	—
597	C₂×Dic₄₇	C₂⁵	1	2	yes	—
598	C₂×Dic₄₇	C₂⁵	1	2	yes	—
599	C₂×Dic₄₇	C₂⁵	1	4	yes	—
600	C₂×Dic₄₇	C₂⁵	1	4	yes	—
601	C₂×Dic₄₇	C₂⁵	1	4	yes	—
602	C₂×Dic₄₇	C₂⁵	1	2	yes	—
603	D₁₈₈	—	2	8	no	—
604	D₁₈₈	—	4	4	no	—
605	D₁₈₈	—	4	8	no	—
606	C₄×D₄₇	—	2	8	no	—
607	C₄×D₄₇	—	2	8	no	—
608	C₄×D₄₇	—	4	4	no	—
609	C₄×D₄₇	—	4	8	no	—
610	C₄×D₄₇	—	4	4	no	—
611	C₄×D₄₇	—	4	8	no	—
612	Dic₉₄	—	2	8	no	—
613	Dic₉₄	—	2	8	no	—
614	Dic₉₄	—	2	8	no	—
615	Dic₉₄	—	4	8	no	—
616	Dic₉₄	—	4	4	no	—
617	C₂×#3562	—	47	1	no	maximal, Sylow
618	C₂²×C₄₇	—	2	2	no	—
619	C₂²×C₄₇	—	2	4	no	—
620	C₂²×C₄₇	—	2	4	no	—
621	C₂²×C₄₇	—	2	4	no	—
622	C₂²×C₄₇	—	2	2	no	—
623	C₂²×C₄₇	—	2	2	no	—
624	C₂²×C₄₇	—	2	4	no	—
625	C₂²×C₄₇	—	2	4	no	—
626	C₂²×C₄₇	—	2	4	no	—
627	C₂²×C₄₇	—	4	8	no	—
628	C₂²×C₄₇	—	4	4	no	—
629	C₂²×C₄₇	—	4	8	no	—
630	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
631	C₂²×C₄₇	#585	1	2	yes	—
632	C₂²×C₄₇	#585	1	2	yes	—
633	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
634	C₂×D₄₇	—	2	2	no	—
635	C₂×D₄₇	—	2	2	no	—
636	C₂×D₄₇	—	2	4	no	—
637	C₂×D₄₇	—	2	2	no	—
638	C₂×D₄₇	—	2	2	no	—
639	C₂×D₄₇	—	2	4	no	—
640	C₂×D₄₇	—	2	4	no	—
641	C₂×D₄₇	—	2	2	no	—
642	C₂×D₄₇	—	2	2	no	—
643	C₂×D₄₇	—	4	4	no	—
644	C₂×D₄₇	—	4	8	no	—
645	C₂×D₄₇	—	4	4	no	—
646	C₂×D₄₇	—	8	16	no	—
647	C₄×C₄₇	—	2	2	no	—
648	C₄×C₄₇	—	2	2	no	—
649	C₄×C₄₇	—	2	4	no	—
650	C₄×C₄₇	—	2	2	no	—
651	C₄×C₄₇	—	2	2	no	—
652	C₄×C₄₇	—	2	2	no	—
653	C₄×C₄₇	—	2	4	no	—
654	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
655	Dic₄₇	—	2	4	no	—
656	Dic₄₇	—	2	4	no	—
657	Dic₄₇	—	2	4	no	—
658	Dic₄₇	—	2	2	no	—
659	Dic₄₇	—	2	2	no	—
660	Dic₄₇	—	2	2	no	—
661	Dic₄₇	—	2	2	no	—
662	Dic₄₇	—	2	2	no	—
663	Dic₄₇	—	2	2	no	—
664	#3562	—	47	32	no	—
665	C₂×#562	—	47	2	no	—
666	C₂×#560	—	47	2	no	—
667	C₂×#559	—	47	1	no	—
668	C₂×#556	—	47	1	no	—
669	C₂×#553	—	47	2	no	—
670	C₂×#551	—	47	2	no	—
671	C₂×#550	—	47	1	no	—
672	C₂×#548	—	47	1	no	—
673	C₂×#548	—	47	1	no	—
674	C₂×#547	—	47	1	no	—
675	C₂×#546	—	47	1	no	—
676	C₂×#546	—	47	1	no	—
677	C₂×#541	—	47	1	no	—
678	C₂×#540	—	47	2	no	—
679	C₂×#540	D₄₇	1	1	yes	characteristic, complemented
680	C₂×#539	—	47	2	no	—
681	C₂×#538	—	47	2	no	—
682	C₂×#538	—	47	2	no	—
683	C₂×#536	—	47	1	no	—
684	C₂×#535	—	47	1	no	—
685	C₂×#532	—	47	1	no	—
686	C₂×#529	—	47	1	no	—
687	C₂×#529	—	47	1	no	—
688	C₂×C₄₇	—	4	4	no	—
689	C₂×C₄₇	—	4	2	no	—
690	C₂×C₄₇	—	4	4	no	—
691	C₂×C₄₇	#3562	1	4	yes	complemented
692	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
694	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
695	D₄₇	—	4	2	no	—
696	D₄₇	—	4	4	no	—
697	D₄₇	—	4	2	no	—
698	C₂²×#41	—	47	1	no	—
699	C₂²×#41	—	47	1	no	—
700	C₂²×#41	—	47	1	no	—
701	C₂²×#41	—	47	1	no	—
702	C₂³×Q₈	—	47	1	no	—
703	C₂³×D₄	—	47	1	no	—
704	#562	—	47	32	no	—
705	#560	—	47	32	no	—
706	#559	—	47	16	no	—
707	#556	—	47	16	no	—
708	#553	—	47	32	no	—
709	#551	—	47	32	no	—
710	#550	—	47	16	no	—
711	#548	—	47	16	no	—
712	#548	—	47	16	no	—
713	#547	—	47	16	no	—
714	#546	—	47	16	no	—
715	#546	—	47	16	no	—
716	#541	—	47	16	no	—
717	#540	—	47	32	no	—
718	#540	C₂×D₄₇	1	16	yes	complemented
719	#539	—	47	32	no	—
720	#538	—	47	32	no	—
721	#538	—	47	32	no	—
722	#536	—	47	16	no	—
723	#535	—	47	16	no	—
724	#532	—	47	16	no	—
725	C₂×C₄⋊Q₈	—	47	1	no	—
726	C₂×C₄⋊Q₈	—	47	1	no	—
727	C₂×#127	—	47	1	no	—
728	C₂×#127	—	47	2	no	—
729	C₂×#127	C₂×D₄₇	1	1	yes	characteristic
730	#529	—	47	16	no	—
731	#529	—	47	16	no	—
732	C₂×#126	—	47	2	no	—
733	C₂×#126	—	47	1	no	—
734	C₂×#126	—	47	2	no	—
735	C₂×#126	—	47	2	no	—
736	C₂×#126	—	47	1	no	—
737	C₂×#126	—	47	2	no	—
738	C₂×#126	—	47	2	no	—
739	C₂×#125	—	47	1	no	—
740	C₂×#125	—	47	2	no	—
741	C₂×#125	—	47	2	no	—
742	C₂×#125	C₂×D₄₇	1	1	yes	characteristic, complemented
743	C₂×#124	—	47	1	no	—
744	C₂×#124	—	47	1	no	—
745	C₂×#124	—	47	1	no	—
746	C₂×#124	—	47	1	no	—
747	C₂×#124	—	47	2	no	—
748	C₂×#124	—	47	2	no	—
749	C₂×#124	—	47	2	no	—
750	C₂×#124	—	47	1	no	—
751	C₂×#124	—	47	1	no	—
752	C₂×#123	—	47	2	no	—
753	C₂×#123	—	47	1	no	—
754	C₂×#123	—	47	2	no	—
755	C₂×#123	—	47	1	no	—
756	C₂×#123	—	47	2	no	—
757	C₂×#123	—	47	2	no	—
758	C₂×#123	—	47	2	no	—
759	C₂×#123	—	47	2	no	—
760	C₂×#123	—	47	2	no	—
761	C₂×#123	—	47	2	no	—
762	C₂×#123	—	47	2	no	—
763	C₂×#123	C₂×D₄₇	1	2	yes	complemented
764	C₂×#123	C₂×D₄₇	1	2	yes	complemented
765	C₂×C₂²⋊Q₈	—	47	2	no	—
766	C₂×C₂²⋊Q₈	—	47	1	no	—
767	C₂×C₂²⋊Q₈	—	47	1	no	—
768	C₂×C₂²⋊Q₈	—	47	2	no	—
769	C₂×C₂²⋊Q₈	—	47	2	no	—
770	C₂×C₂²⋊Q₈	—	47	1	no	—
771	C₂×C₂²⋊Q₈	—	47	1	no	—
772	C₂×C₂²⋊Q₈	—	47	2	no	—
773	C₂×C₂²⋊Q₈	—	47	2	no	—
774	C₂×#121	—	47	2	no	—
775	C₂×#121	—	47	2	no	—
776	C₂×#121	—	47	2	no	—
777	C₂×#121	—	47	2	no	—
778	C₂×#121	—	47	2	no	—
779	C₂×#121	—	47	2	no	—
780	C₂×#121	—	47	2	no	—
781	C₂×#121	—	47	2	no	—
782	C₂×#121	—	47	2	no	—
783	C₂×#121	—	47	2	no	—
784	C₂×#121	—	47	1	no	—
785	C₂×#121	—	47	1	no	—
786	C₂×#121	—	47	2	no	—
787	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
788	C₂×#121	C₂×D₄₇	1	2	yes	complemented
789	C₂×#121	C₂×D₄₇	1	1	yes	characteristic, complemented
790	C₂×#121	C₂×D₄₇	1	2	yes	complemented
791	C₂×#120	—	47	2	no	—
792	C₂×#120	—	47	2	no	—
793	C₂×#120	—	47	2	no	—
794	C₂×#120	—	47	2	no	—
795	C₂×C₄×Q₈	—	47	1	no	—
796	C₂×C₄×Q₈	—	47	1	no	—
797	C₂×C₄×Q₈	—	47	1	no	—
798	C₂×C₄×Q₈	—	47	1	no	—
799	C₂×C₄×D₄	—	47	2	no	—
800	C₂×C₄×D₄	—	47	2	no	—
801	C₂×C₄×D₄	—	47	2	no	—
802	C₂×C₄×D₄	—	47	2	no	—
803	C₂×C₄×D₄	—	47	1	no	—
804	C₂×C₄×D₄	—	47	1	no	—
805	C₂×C₄×D₄	—	47	2	no	—
806	C₂×C₄×D₄	—	47	1	no	—
807	C₂×C₄×D₄	—	47	2	no	—
808	C₂×C₄×D₄	—	47	2	no	—
809	C₂×C₄×D₄	—	47	1	no	—
810	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
811	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
812	C₂×#117	—	47	2	no	—
813	C₂×#117	—	47	2	no	—
814	C₂×#117	—	47	1	no	—
815	C₂×#117	C₂×D₄₇	1	1	yes	characteristic, complemented
816	C₂²×C₄⋊C₄	—	47	2	no	—
817	C₂²×C₂²⋊C₄	—	47	2	no	—
818	C₂²×C₂²⋊C₄	—	47	2	no	—
819	C₂²×C₄²	—	47	1	no	—
820	C₄₇	C₂×#3562	1	1	yes	characteristic, complemented, Sylow
821	C₂⁵	—	47	2	no	—
822	C₂×#41	—	47	8	no	—
823	C₂×#41	—	47	8	no	—
824	C₂×#41	—	47	8	no	—
825	C₂×#41	—	47	8	no	—
826	C₂×#41	—	188	4	no	—
827	C₂×#41	—	188	4	no	—
828	C₂×#41	—	188	4	no	—
829	C₂×#41	—	188	4	no	—
830	C₂²×Q₈	—	47	1	no	—
831	C₂²×Q₈	—	47	1	no	—
832	C₂²×Q₈	—	47	1	no	—
833	C₂²×Q₈	—	47	1	no	—
834	C₂²×Q₈	—	47	2	no	—
835	C₂²×Q₈	—	47	8	no	—
836	C₂²×Q₈	—	188	4	no	—
837	C₂²×D₄	—	47	1	no	—
838	C₂²×D₄	—	47	2	no	—
839	C₂²×D₄	—	47	2	no	—
840	C₂²×D₄	—	47	1	no	—
841	C₂²×D₄	—	47	2	no	—
842	C₂²×D₄	—	47	2	no	—
843	C₂²×D₄	—	47	2	no	—
844	C₂²×D₄	—	47	2	no	—
845	C₂²×D₄	—	47	2	no	—
846	C₂²×D₄	—	47	8	no	—
847	C₂²×D₄	—	47	1	no	—
848	C₂²×D₄	—	47	1	no	—
849	C₂²×D₄	—	47	2	no	—
850	C₂²×D₄	—	188	4	no	—
851	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
852	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
853	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
854	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
855	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
856	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
857	C₂³×C₄	—	47	2	no	—
858	C₂³×C₄	—	47	2	no	—
859	C₂³×C₄	—	47	2	no	—
860	C₂³×C₄	—	47	2	no	—
861	C₂³×C₄	—	47	1	no	—
862	C₂³×C₄	—	47	1	no	—
863	C₂³×C₄	—	47	2	no	—
864	C₂³×C₄	—	47	2	no	—
865	C₂³×C₄	—	47	1	no	—
866	C₂³×C₄	—	47	1	no	—
867	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
868	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
869	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
870	C₄⋊Q₈	—	47	8	no	—
871	C₄⋊Q₈	—	47	8	no	—
872	#127	—	47	8	no	—
873	#127	—	47	16	no	—
874	#127	C₂²×D₄₇	1	8	yes	—
875	#126	—	47	16	no	—
876	#126	—	47	8	no	—
877	#126	—	47	16	no	—
878	#126	—	47	16	no	—
879	#126	—	47	8	no	—
880	#126	—	47	16	no	—
881	#126	—	47	16	no	—
882	#125	—	47	8	no	—
883	#125	—	47	16	no	—
884	#125	—	47	16	no	—
885	#125	C₂²×D₄₇	1	8	yes	complemented
886	#124	—	47	8	no	—
887	#124	—	47	8	no	—
888	#124	—	47	8	no	—
889	#124	—	47	8	no	—
890	#124	—	47	16	no	—
891	#124	—	47	16	no	—
892	#124	—	47	16	no	—
893	#124	—	47	8	no	—
894	#124	—	47	8	no	—
895	#123	—	47	16	no	—
896	#123	—	47	8	no	—
897	#123	—	47	16	no	—
898	#123	—	47	8	no	—
899	#123	—	47	16	no	—
900	#123	—	47	16	no	—
901	#123	—	47	16	no	—
902	#123	—	47	16	no	—
903	#123	—	47	16	no	—
904	#123	—	47	16	no	—
905	#123	—	47	16	no	—
906	#123	C₂²×D₄₇	1	16	yes	complemented
907	#123	C₂²×D₄₇	1	16	yes	complemented
908	C₂²⋊Q₈	—	47	16	no	—
909	C₂²⋊Q₈	—	47	8	no	—
910	C₂²⋊Q₈	—	47	8	no	—
911	C₂²⋊Q₈	—	47	16	no	—
912	C₂²⋊Q₈	—	47	16	no	—
913	C₂²⋊Q₈	—	47	8	no	—
914	C₂²⋊Q₈	—	47	8	no	—
915	C₂²⋊Q₈	—	47	16	no	—
916	C₂²⋊Q₈	—	47	16	no	—
917	#121	—	47	16	no	—
918	#121	—	47	16	no	—
919	#121	—	47	16	no	—
920	#121	—	47	16	no	—
921	#121	—	47	16	no	—
922	#121	—	47	16	no	—
923	#121	—	47	16	no	—
924	#121	—	47	16	no	—
925	#121	—	47	16	no	—
926	#121	—	47	16	no	—
927	#121	—	47	8	no	—
928	#121	—	47	8	no	—
929	#121	—	47	16	no	—
930	#121	C₂²×D₄₇	1	8	yes	—
931	#121	C₂²×D₄₇	1	16	yes	complemented
932	#121	C₂²×D₄₇	1	8	yes	complemented
933	#121	C₂²×D₄₇	1	16	yes	complemented
934	#120	—	47	16	no	—
935	#120	—	47	16	no	—
936	#120	—	47	16	no	—
937	#120	—	47	16	no	—
938	C₄×Q₈	—	47	8	no	—
939	C₄×Q₈	—	47	8	no	—
940	C₄×Q₈	—	47	8	no	—
941	C₄×Q₈	—	47	8	no	—
942	C₄×D₄	—	47	16	no	—
943	C₄×D₄	—	47	16	no	—
944	C₄×D₄	—	47	16	no	—
945	C₄×D₄	—	47	16	no	—
946	C₄×D₄	—	47	8	no	—
947	C₄×D₄	—	47	8	no	—
948	C₄×D₄	—	47	16	no	—
949	C₄×D₄	—	47	16	no	—
950	C₄×D₄	—	47	8	no	—
951	C₄×D₄	—	47	16	no	—
952	C₄×D₄	—	47	8	no	—
953	C₄×D₄	C₂²×D₄₇	1	8	yes	—
954	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
955	#117	—	47	16	no	—
956	#117	—	47	16	no	—
957	#117	—	47	8	no	—
958	#117	C₂²×D₄₇	1	8	yes	complemented
959	C₂×C₄⋊C₄	—	47	1	no	—
960	C₂×C₄⋊C₄	—	47	2	no	—
961	C₂×C₄⋊C₄	—	47	2	no	—
962	C₂×C₄⋊C₄	—	47	2	no	—
963	C₂×C₄⋊C₄	—	47	16	no	—
964	C₂×C₄⋊C₄	—	47	1	no	—
965	C₂×C₄⋊C₄	—	47	1	no	—
966	C₂×C₄⋊C₄	—	47	1	no	—
967	C₂×C₄⋊C₄	—	47	2	no	—
968	C₂×C₄⋊C₄	—	47	1	no	—
969	C₂×C₄⋊C₄	—	47	1	no	—
970	C₂×C₄⋊C₄	—	47	2	no	—
971	C₂×C₄⋊C₄	—	47	2	no	—
972	C₂×C₄⋊C₄	—	47	2	no	—
973	C₂×C₄⋊C₄	—	47	1	no	—
974	C₂×C₄⋊C₄	—	47	2	no	—
975	C₂×C₄⋊C₄	—	47	2	no	—
976	C₂×C₄⋊C₄	—	47	2	no	—
977	C₂×C₄⋊C₄	—	47	1	no	—
978	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
979	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
983	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	—	47	2	no	—
985	C₂×C₂²⋊C₄	—	47	2	no	—
986	C₂×C₂²⋊C₄	—	47	1	no	—
987	C₂×C₂²⋊C₄	—	47	1	no	—
988	C₂×C₂²⋊C₄	—	47	2	no	—
989	C₂×C₂²⋊C₄	—	47	2	no	—
990	C₂×C₂²⋊C₄	—	47	2	no	—
991	C₂×C₂²⋊C₄	—	47	2	no	—
992	C₂×C₂²⋊C₄	—	47	1	no	—
993	C₂×C₂²⋊C₄	—	47	1	no	—
994	C₂×C₂²⋊C₄	—	47	2	no	—
995	C₂×C₂²⋊C₄	—	47	2	no	—
996	C₂×C₂²⋊C₄	—	47	2	no	—
997	C₂×C₂²⋊C₄	—	47	2	no	—
998	C₂×C₂²⋊C₄	—	47	16	no	—
999	C₂×C₂²⋊C₄	—	47	1	no	—
1000	C₂×C₂²⋊C₄	—	47	1	no	—
1001	C₂×C₂²⋊C₄	—	47	2	no	—
1002	C₂×C₂²⋊C₄	—	47	2	no	—
1003	C₂×C₂²⋊C₄	—	47	2	no	—
1004	C₂×C₂²⋊C₄	—	47	2	no	—
1005	C₂×C₂²⋊C₄	—	47	1	no	—
1006	C₂×C₂²⋊C₄	—	47	2	no	—
1007	C₂×C₂²⋊C₄	—	47	1	no	—
1008	C₂×C₂²⋊C₄	—	47	16	no	—
1009	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1010	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1013	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1014	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1015	C₂×C₄²	—	47	2	no	—
1016	C₂×C₄²	—	47	1	no	—
1017	C₂×C₄²	—	47	1	no	—
1018	C₂×C₄²	—	47	2	no	—
1019	C₂×C₄²	—	47	1	no	—
1020	C₂×C₄²	—	47	2	no	—
1021	C₂×C₄²	—	47	1	no	—
1022	C₂×C₄²	—	47	8	no	—
1023	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1024	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1025	C₂⁴	—	47	1	no	—
1026	C₂⁴	—	47	2	no	—
1027	C₂⁴	—	47	1	no	—
1028	C₂⁴	—	47	8	no	—
1029	C₂⁴	—	188	4	no	—
1030	C₂⁴	—	188	4	no	—
1031	C₂⁴	—	188	4	no	—
1032	C₂⁴	C₂³×D₄₇	1	2	yes	—
1033	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1034	C₂⁴	C₂³×D₄₇	1	2	yes	—
1035	#41	—	188	16	no	—
1036	#41	—	188	16	no	—
1037	#41	—	188	16	no	—
1038	#41	—	188	16	no	—
1039	C₂×Q₈	—	47	4	no	—
1040	C₂×Q₈	—	47	4	no	—
1041	C₂×Q₈	—	47	4	no	—
1042	C₂×Q₈	—	47	4	no	—
1043	C₂×Q₈	—	47	8	no	—
1044	C₂×Q₈	—	94	4	no	—
1045	C₂×Q₈	—	94	4	no	—
1046	C₂×Q₈	—	94	4	no	—
1047	C₂×Q₈	—	188	2	no	—
1048	C₂×Q₈	—	188	4	no	—
1049	C₂×Q₈	—	188	16	no	—
1050	C₂×D₄	—	2	4	no	—
1051	C₂×D₄	—	2	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	47	4	no	—
1057	C₂×D₄	—	47	8	no	—
1058	C₂×D₄	—	47	8	no	—
1059	C₂×D₄	—	47	4	no	—
1060	C₂×D₄	—	47	8	no	—
1061	C₂×D₄	—	47	8	no	—
1062	C₂×D₄	—	47	8	no	—
1063	C₂×D₄	—	47	8	no	—
1064	C₂×D₄	—	47	8	no	—
1065	C₂×D₄	—	47	4	no	—
1066	C₂×D₄	—	47	4	no	—
1067	C₂×D₄	—	47	8	no	—
1068	C₂×D₄	—	94	4	no	—
1069	C₂×D₄	—	188	2	no	—
1070	C₂×D₄	—	188	4	no	—
1071	C₂×D₄	—	188	16	no	—
1072	C₂×D₄	—	188	2	no	—
1073	C₂×D₄	—	188	4	no	—
1074	C₂×D₄	—	188	2	no	—
1075	C₂×D₄	—	188	4	no	—
1076	C₂×D₄	—	188	4	no	—
1077	C₂×D₄	—	188	4	no	—
1078	C₂×D₄	—	188	4	no	—
1079	C₂×D₄	—	188	4	no	—
1080	C₂×D₄	—	188	4	no	—
1081	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1082	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1083	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1084	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1085	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1086	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1087	C₂²×C₄	—	2	4	no	—
1088	C₂²×C₄	—	4	4	no	—
1089	C₂²×C₄	—	4	4	no	—
1090	C₂²×C₄	—	47	1	no	—
1091	C₂²×C₄	—	47	1	no	—
1092	C₂²×C₄	—	47	1	no	—
1093	C₂²×C₄	—	47	1	no	—
1094	C₂²×C₄	—	47	1	no	—
1095	C₂²×C₄	—	47	2	no	—
1096	C₂²×C₄	—	47	2	no	—
1097	C₂²×C₄	—	47	2	no	—
1098	C₂²×C₄	—	47	1	no	—
1099	C₂²×C₄	—	47	8	no	—
1100	C₂²×C₄	—	47	8	no	—
1101	C₂²×C₄	—	47	8	no	—
1102	C₂²×C₄	—	47	8	no	—
1103	C₂²×C₄	—	47	4	no	—
1104	C₂²×C₄	—	47	4	no	—
1105	C₂²×C₄	—	47	4	no	—
1106	C₂²×C₄	—	47	4	no	—
1107	C₂²×C₄	—	47	8	no	—
1108	C₂²×C₄	—	47	8	no	—
1109	C₂²×C₄	—	94	4	no	—
1110	C₂²×C₄	—	94	4	no	—
1111	C₂²×C₄	—	188	4	no	—
1112	C₂²×C₄	—	188	2	no	—
1113	C₂²×C₄	—	188	2	no	—
1114	C₂²×C₄	—	188	4	no	—
1115	C₂²×C₄	—	188	4	no	—
1116	C₂²×C₄	—	188	4	no	—
1117	C₂²×C₄	—	188	4	no	—
1118	C₂²×C₄	—	188	4	no	—
1119	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1120	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1121	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1124	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1128	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1129	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1130	C₄⋊C₄	—	47	4	no	—
1131	C₄⋊C₄	—	47	4	no	—
1132	C₄⋊C₄	—	47	4	no	—
1133	C₄⋊C₄	—	47	4	no	—
1134	C₄⋊C₄	—	47	4	no	—
1135	C₄⋊C₄	—	47	8	no	—
1136	C₄⋊C₄	—	47	8	no	—
1137	C₄⋊C₄	—	47	8	no	—
1138	C₄⋊C₄	—	47	4	no	—
1139	C₄⋊C₄	—	47	4	no	—
1140	C₄⋊C₄	—	47	8	no	—
1141	C₄⋊C₄	—	47	8	no	—
1142	C₄⋊C₄	—	47	8	no	—
1143	C₄⋊C₄	—	47	4	no	—
1144	C₄⋊C₄	—	47	8	no	—
1145	C₄⋊C₄	—	47	8	no	—
1146	C₄⋊C₄	—	47	8	no	—
1147	C₄⋊C₄	—	47	8	no	—
1148	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1149	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1151	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1152	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1153	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1154	C₂²⋊C₄	—	47	8	no	—
1155	C₂²⋊C₄	—	47	8	no	—
1156	C₂²⋊C₄	—	47	4	no	—
1157	C₂²⋊C₄	—	47	4	no	—
1158	C₂²⋊C₄	—	47	8	no	—
1159	C₂²⋊C₄	—	47	8	no	—
1160	C₂²⋊C₄	—	47	8	no	—
1161	C₂²⋊C₄	—	47	8	no	—
1162	C₂²⋊C₄	—	47	4	no	—
1163	C₂²⋊C₄	—	47	4	no	—
1164	C₂²⋊C₄	—	47	8	no	—
1165	C₂²⋊C₄	—	47	8	no	—
1166	C₂²⋊C₄	—	47	8	no	—
1167	C₂²⋊C₄	—	47	8	no	—
1168	C₂²⋊C₄	—	47	4	no	—
1169	C₂²⋊C₄	—	47	4	no	—
1170	C₂²⋊C₄	—	47	8	no	—
1171	C₂²⋊C₄	—	47	8	no	—
1172	C₂²⋊C₄	—	47	8	no	—
1173	C₂²⋊C₄	—	47	8	no	—
1174	C₂²⋊C₄	—	47	4	no	—
1175	C₂²⋊C₄	—	47	8	no	—
1176	C₂²⋊C₄	—	47	4	no	—
1177	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1178	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1179	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1180	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1181	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1182	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1183	C₄²	—	47	4	no	—
1184	C₄²	—	47	4	no	—
1185	C₄²	—	47	4	no	—
1186	C₄²	—	47	8	no	—
1187	C₄²	—	47	4	no	—
1188	C₄²	—	47	8	no	—
1189	C₄²	—	47	8	no	—
1190	C₄²	C₂³×D₄₇	1	4	yes	—
1191	C₄²	C₂³×D₄₇	1	4	yes	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	4	no	—
1194	C₂³	—	2	4	no	—
1195	C₂³	—	2	4	no	—
1196	C₂³	—	2	4	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	4	no	—
1200	C₂³	—	2	4	no	—
1201	C₂³	—	47	2	no	—
1202	C₂³	—	47	4	no	—
1203	C₂³	—	47	2	no	—
1204	C₂³	—	94	2	no	—
1205	C₂³	—	94	2	no	—
1206	C₂³	—	94	4	no	—
1207	C₂³	—	94	2	no	—
1208	C₂³	—	94	2	no	—
1209	C₂³	—	94	4	no	—
1210	C₂³	—	94	4	no	—
1211	C₂³	—	94	2	no	—
1212	C₂³	—	94	2	no	—
1213	C₂³	—	376	16	no	—
1214	C₂³	—	188	8	no	—
1215	C₂³	—	188	8	no	—
1216	C₂³	—	188	8	no	—
1217	C₂³	C₂⁴×D₄₇	1	4	yes	—
1218	C₂³	C₂⁴×D₄₇	1	2	yes	—
1219	C₂³	C₂⁴×D₄₇	1	4	yes	—
1220	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1221	Q₈	—	94	8	no	—
1222	Q₈	—	94	8	no	—
1223	Q₈	—	94	8	no	—
1224	Q₈	—	188	4	no	—
1225	Q₈	—	188	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	4	8	no	—
1229	D₄	—	4	8	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	94	8	no	—
1233	D₄	—	188	4	no	—
1234	D₄	—	188	8	no	—
1235	D₄	—	188	4	no	—
1236	D₄	—	188	8	no	—
1237	D₄	—	188	4	no	—
1238	D₄	—	188	8	no	—
1239	D₄	—	188	8	no	—
1240	D₄	—	188	8	no	—
1241	D₄	—	188	8	no	—
1242	D₄	—	188	8	no	—
1243	D₄	—	188	8	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	4	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	8	no	—
1252	C₂×C₄	—	4	8	no	—
1253	C₂×C₄	—	4	8	no	—
1254	C₂×C₄	—	47	2	no	—
1255	C₂×C₄	—	47	2	no	—
1256	C₂×C₄	—	47	2	no	—
1257	C₂×C₄	—	47	2	no	—
1258	C₂×C₄	—	47	2	no	—
1259	C₂×C₄	—	47	4	no	—
1260	C₂×C₄	—	47	4	no	—
1261	C₂×C₄	—	47	4	no	—
1262	C₂×C₄	—	47	2	no	—
1263	C₂×C₄	—	94	2	no	—
1264	C₂×C₄	—	94	2	no	—
1265	C₂×C₄	—	94	4	no	—
1266	C₂×C₄	—	94	4	no	—
1267	C₂×C₄	—	94	4	no	—
1268	C₂×C₄	—	94	2	no	—
1269	C₂×C₄	—	94	2	no	—
1270	C₂×C₄	—	94	2	no	—
1271	C₂×C₄	—	94	2	no	—
1272	C₂×C₄	—	94	8	no	—
1273	C₂×C₄	—	94	8	no	—
1274	C₂×C₄	—	188	8	no	—
1275	C₂×C₄	—	188	4	no	—
1276	C₂×C₄	—	188	4	no	—
1277	C₂×C₄	—	188	8	no	—
1278	C₂×C₄	—	188	8	no	—
1279	C₂×C₄	—	188	8	no	—
1280	C₂×C₄	—	188	8	no	—
1281	C₂×C₄	—	188	8	no	—
1282	C₂×C₄	#13094070	1	4	yes	—
1283	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1284	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1286	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1287	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1290	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	4	no	—
1293	C₂²	—	2	4	no	—
1294	C₂²	—	2	4	no	—
1295	C₂²	—	2	4	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	4	no	—
1299	C₂²	—	2	4	no	—
1300	C₂²	—	4	8	no	—
1301	C₂²	—	4	4	no	—
1302	C₂²	—	4	8	no	—
1303	C₂²	—	94	2	no	—
1304	C₂²	—	94	2	no	—
1305	C₂²	—	94	4	no	—
1306	C₂²	—	94	2	no	—
1307	C₂²	—	94	2	no	—
1308	C₂²	—	94	4	no	—
1309	C₂²	—	94	4	no	—
1310	C₂²	—	94	2	no	—
1311	C₂²	—	94	2	no	—
1312	C₂²	—	376	16	no	—
1313	C₂²	—	188	4	no	—
1314	C₂²	—	188	8	no	—
1315	C₂²	—	188	4	no	—
1316	C₂²	C₂×#13094070	1	2	yes	—
1317	C₂²	#15689958	1	2	yes	—
1318	C₂²	#15689958	1	2	yes	—
1319	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	4	no	—
1324	C₄	—	2	4	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	94	2	no	—
1328	C₄	—	94	2	no	—
1329	C₄	—	94	4	no	—
1330	C₄	—	94	4	no	—
1331	C₄	—	94	4	no	—
1332	C₄	—	94	2	no	—
1333	C₄	—	94	2	no	—
1334	C₄	—	94	2	no	—
1335	C₄	—	94	2	no	—
1336	C₄	C₂×#13094070	1	4	yes	—
1337	C₂	—	4	4	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	4	4	no	—
1340	C₂	—	188	2	no	—
1341	C₂	—	188	4	no	—
1342	C₂	—	188	2	no	—
1343	C₂	#20257978	1	4	yes	direct product factor
1344	C₂	C₂²×#13094070	1	1	yes	characteristic
1345	C₂	C₂×#15689958	1	1	yes	characteristic
1346	C₂	C₂×#15689958	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#540	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#540	D₄₇
hypocenter	C₄₇	C₂×#3562
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#540

Complements

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

N	H ≅ G/N	type
1. #20257978	C₂	direct (N × H)
2. C₂×#15689870	C₂	semidirect
3. C₂×#15689861	C₂	semidirect
4. C₂×#15689856	C₂	semidirect
5. C₂×#15689843	C₂	semidirect
6. C₂×#15689825	C₂	semidirect
7. C₂×#15689796	C₂	semidirect
8. C₂×#15689791	C₂	semidirect
9. C₂×#15689779	C₂	semidirect
10. C₂×#15689779	C₂	semidirect
11. C₂×#15689777	C₂	semidirect
12. C₂×#15689770	C₂	semidirect
13. C₂×#15689768	C₂	semidirect
14. C₂×#15689736	C₂	semidirect
15. C₂×#15689726	C₂	semidirect
16. C₂×#15689717	C₂	semidirect
17. C₂×#15689710	C₂	semidirect
18. C₂×#15689709	C₂	semidirect
19. C₂×#15689699	C₂	semidirect
20. C₂×#15689686	C₂	semidirect
21. C₂×#15689671	C₂	semidirect
22. C₂×#15689658	C₂	semidirect
23. C₂×#15689651	C₂	semidirect
24. C₂×C₄₇×#540	C₂	semidirect
28. C₂²×#10625352	C₂²	semidirect
29. C₂³×Dic₉₄	C₂²	semidirect
31. #15689870	C₂²	semidirect
32. #15689861	C₂²	semidirect
33. #15689856	C₂²	semidirect
34. #15689843	C₂²	semidirect
35. #15689825	C₂²	semidirect
36. #15689796	C₂²	semidirect
37. #15689791	C₂²	semidirect
38. #15689779	C₂²	semidirect
39. #15689779	C₂²	semidirect
40. #15689777	C₂²	semidirect
41. #15689770	C₂²	semidirect
42. #15689768	C₂²	semidirect
43. #15689736	C₂²	semidirect
44. #15689726	C₂²	semidirect
45. #15689717	C₂²	semidirect
46. #15689710	C₂²	semidirect
47. #15689709	C₂²	semidirect
48. #15689699	C₂²	semidirect
49. #15689686	C₂²	semidirect
50. #15689671	C₂²	semidirect
51. C₂×#13094024	C₂²	semidirect
52. C₂×#13094024	C₂²	semidirect
54. C₂×#13094020	C₂²	semidirect
55. #15689658	C₂²	semidirect
56. #15689651	C₂²	semidirect
60. C₂×#13094019	C₂²	semidirect
61. C₂×#13094017	C₂²	semidirect
62. C₂×#13094017	C₂²	semidirect
63. C₂×#13094017	C₂²	semidirect
64. C₂×#13094015	C₂²	semidirect
65. C₂×#13094015	C₂²	semidirect
66. C₂×#13094014	C₂²	semidirect
71. C₂×#13094011	C₂²	semidirect
74. C₂×#13094010	C₂²	semidirect
75. C₂×#13094010	C₂²	semidirect
77. C₂×#13094009	C₂²	semidirect
80. C₂×#13094008	C₂²	semidirect
81. C₂×#13094008	C₂²	semidirect
82. C₂×#13094008	C₂²	semidirect
83. C₂×#13094007	C₂²	semidirect
85. C₂×#13094006	C₂²	semidirect
86. C₂×#13094006	C₂²	semidirect
89. C₂×#13094004	C₂²	semidirect
90. C₂×#13094004	C₂²	semidirect
91. C₂×#13094004	C₂²	semidirect
92. C₂×#13094003	C₂²	semidirect
93. C₂×#13094002	C₂²	semidirect
94. C₂×#13094001	C₂²	semidirect
95. C₂×#13094001	C₂²	semidirect
100. C₂×#13093997	C₂²	semidirect
104. C₂×#13093996	C₂²	semidirect
105. C₂×#13093996	C₂²	semidirect
107. C₂×#13093995	C₂²	semidirect
108. C₂×#13093995	C₂²	semidirect
113. C₂×C₄×Dic₉₄	C₂²	semidirect
114. C₂×#13093989	C₂²	semidirect
115. C₂×#13093989	C₂²	semidirect
116. C₂×#13093989	C₂²	semidirect
118. C₂×D₄×Dic₄₇	C₂²	semidirect
119. C₂×D₄×Dic₄₇	C₂²	semidirect
120. C₂×D₄×Dic₄₇	C₂²	semidirect
121. C₂×D₄×Dic₄₇	C₂²	semidirect
123. C₂×#13093986	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
126. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
127. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
128. C₂×#13093983	C₂²	semidirect
129. C₂×#13093982	C₂²	semidirect
131. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
134. C₂×C₄²×D₄₇	C₂²	semidirect
135. C₄₇×#540	C₂²	semidirect
137. C₂×#125×C₄₇	C₂²	semidirect
138. C₂×#123×C₄₇	C₂²	semidirect
139. C₂×#123×C₄₇	C₂²	semidirect
141. C₂×#121×C₄₇	C₂²	semidirect
142. C₂×#121×C₄₇	C₂²	semidirect
143. C₂×#121×C₄₇	C₂²	semidirect
145. C₂×C₄×D₄×C₄₇	C₂²	semidirect
146. C₂×#117×C₄₇	C₂²	semidirect
155. C₂×#10625352	C₂³	semidirect
162. C₂²×Dic₉₄	C₂³	semidirect
187. #13094024	C₂³	semidirect
188. #13094024	C₂³	semidirect
190. #13094020	C₂³	semidirect
194. #13094019	C₂³	semidirect
195. #13094017	C₂³	semidirect
196. #13094017	C₂³	semidirect
197. #13094017	C₂³	semidirect
198. #13094015	C₂³	semidirect
199. #13094015	C₂³	semidirect
200. #13094014	C₂³	semidirect
205. #13094011	C₂³	semidirect
208. #13094010	C₂³	semidirect
209. #13094010	C₂³	semidirect
211. #13094009	C₂³	semidirect
214. #13094008	C₂³	semidirect
215. #13094008	C₂³	semidirect
216. #13094008	C₂³	semidirect
217. #13094007	C₂³	semidirect
219. #13094006	C₂³	semidirect
220. #13094006	C₂³	semidirect
223. #13094004	C₂³	semidirect
224. #13094004	C₂³	semidirect
225. #13094004	C₂³	semidirect
226. #13094003	C₂³	semidirect
227. #13094002	C₂³	semidirect
228. #13094001	C₂³	semidirect
229. #13094001	C₂³	semidirect
234. #13093997	C₂³	semidirect
238. #13093996	C₂³	semidirect
239. #13093996	C₂³	semidirect
241. #13093995	C₂³	semidirect
242. #13093995	C₂³	semidirect
247. C₄×Dic₉₄	C₂³	semidirect
248. #13093989	C₂³	semidirect
249. #13093989	C₂³	semidirect
250. #13093989	C₂³	semidirect
252. D₄×Dic₄₇	C₂³	semidirect
253. D₄×Dic₄₇	C₂³	semidirect
254. D₄×Dic₄₇	C₂³	semidirect
255. D₄×Dic₄₇	C₂³	semidirect
257. #13093986	C₂³	semidirect
259. C₄×C₂²⋊D₄₇	C₂³	semidirect
260. C₄×C₂²⋊D₄₇	C₂³	semidirect
261. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
262. #13093983	C₂³	semidirect
263. #13093982	C₂³	semidirect
274. C₂×C₄⋊Dic₄₇	C₂³	semidirect
316. C₄²×D₄₇	C₂³	semidirect
327. #125×C₄₇	C₂³	semidirect
328. #123×C₄₇	C₂³	semidirect
329. #123×C₄₇	C₂³	semidirect
331. #121×C₄₇	C₂³	semidirect
332. #121×C₄₇	C₂³	semidirect
333. #121×C₄₇	C₂³	semidirect
335. C₄×D₄×C₄₇	C₂³	semidirect
336. #117×C₄₇	C₂³	semidirect
679. C₂×#540	D₄₇	semidirect
691. C₂×C₄₇	#3562	semidirect
718. #540	C₂×D₄₇	semidirect
742. C₂×#125	C₂×D₄₇	semidirect
763. C₂×#123	C₂×D₄₇	semidirect
764. C₂×#123	C₂×D₄₇	semidirect
788. C₂×#121	C₂×D₄₇	semidirect
789. C₂×#121	C₂×D₄₇	semidirect
790. C₂×#121	C₂×D₄₇	semidirect
811. C₂×C₄×D₄	C₂×D₄₇	semidirect
815. C₂×#117	C₂×D₄₇	semidirect
820. C₄₇	C₂×#3562	semidirect
885. #125	C₂²×D₄₇	semidirect
906. #123	C₂²×D₄₇	semidirect
907. #123	C₂²×D₄₇	semidirect
931. #121	C₂²×D₄₇	semidirect
932. #121	C₂²×D₄₇	semidirect
933. #121	C₂²×D₄₇	semidirect
954. C₄×D₄	C₂²×D₄₇	semidirect
958. #117	C₂²×D₄₇	semidirect
1343. C₂	#20257978	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257978	2
C₂×#15689870	2
C₂×#15689861	2
C₂×#15689856	2
C₂×#15689843	2
C₂×#15689825	2
C₂×#15689796	2
C₂×#15689791	2
C₂×#15689779	2
C₂×#15689777	2
C₂×#15689770	2
C₂×#15689768	2
C₂×#15689736	2
C₂×#15689726	2
C₂×#15689717	2
C₂×#15689710	2
C₂×#15689709	2
C₂×#15689699	2
C₂×#15689686	2
C₂×#15689671	2
C₂×#15689658	2
C₂×#15689651	2
C₂×C₄₇×#540	2
C₂×#3562	47

Subgroups — C2×#20257978 #27123759

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257978 #27123759