Subgroups — C₂×#20257652 #27123565

Order 12032.

7418 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257652	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689866	C₂	1	2	yes	maximal, complemented
3	C₂×#15689861	C₂	1	2	yes	maximal, complemented
4	C₂×#15689857	C₂	1	2	yes	maximal, complemented
5	C₂×#15689844	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689843	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689838	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15689837	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15689799	C₂	1	2	yes	maximal, complemented
10	C₂×#15689781	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689780	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689767	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689742	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15689741	C₂	1	2	yes	maximal, complemented
15	C₂×#15689740	C₂	1	2	yes	maximal, complemented
16	C₂×#15689738	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#15689711	C₂	1	2	yes	maximal, complemented
18	C₂×#15689708	C₂	1	2	yes	maximal, complemented
19	C₂×#15689696	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#15689690	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#15689633	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689632	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#15689630	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#546	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×Q₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
29	#15689866	C₂²	1	32	yes	complemented
30	#15689861	C₂²	1	32	yes	complemented
31	#15689857	C₂²	1	32	yes	complemented
32	#15689844	C₂²	1	16	yes	complemented
33	#15689843	C₂²	1	16	yes	complemented
34	#15689838	C₂²	1	16	yes	complemented
35	#15689837	C₂²	1	16	yes	complemented
36	#15689799	C₂²	1	32	yes	complemented
37	#15689781	C₂²	1	16	yes	complemented
38	#15689780	C₂²	1	16	yes	complemented
39	#15689767	C₂²	1	16	yes	complemented
40	#15689742	C₂²	1	16	yes	complemented
41	#15689741	C₂²	1	32	yes	complemented
42	#15689740	C₂²	1	32	yes	complemented
43	#15689738	C₂²	1	16	yes	complemented
44	#15689711	C₂²	1	32	yes	complemented
45	#15689708	C₂²	1	32	yes	complemented
46	#15689696	C₂²	1	16	yes	complemented
47	#15689690	C₂²	1	16	yes	complemented
48	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
49	C₂×#13094023	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13094023	C₂²	1	2	yes	complemented
51	C₂×#13094020	C₂²	1	2	yes	—
52	C₂×#13094019	C₂²	1	2	yes	complemented
53	C₂×#13094017	C₂²	1	2	yes	complemented
54	C₂×#13094017	C₂²	1	2	yes	complemented
55	C₂×#13094017	C₂²	1	2	yes	complemented
56	C₂×#13094017	C₂²	1	2	yes	complemented
57	C₂×#13094017	C₂²	1	2	yes	complemented
58	C₂×#13094011	C₂²	1	2	yes	—
59	C₂×#13094011	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13094011	C₂²	1	2	yes	complemented
61	C₂×#13094011	C₂²	1	2	yes	complemented
62	C₂×#13094011	C₂²	1	2	yes	complemented
63	C₂×#13094010	C₂²	1	2	yes	—
64	C₂×#13094010	C₂²	1	2	yes	—
65	C₂×#13094010	C₂²	1	2	yes	complemented
66	C₂×#13094010	C₂²	1	2	yes	complemented
67	C₂×#13094010	C₂²	1	2	yes	complemented
68	C₂×#13094010	C₂²	1	2	yes	complemented
69	C₂×#13094010	C₂²	1	2	yes	complemented
70	C₂×#13094010	C₂²	1	2	yes	complemented
71	#15689633	C₂²	1	16	yes	complemented
72	#15689632	C₂²	1	16	yes	complemented
73	#15689630	C₂²	1	16	yes	complemented
74	C₂×#13094009	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13094009	C₂²	1	2	yes	complemented
76	C₂×#13094008	C₂²	1	2	yes	complemented
77	C₂×#13094007	C₂²	1	2	yes	complemented
78	C₂×#13094006	C₂²	1	1	yes	characteristic
79	C₂×#13094006	C₂²	1	2	yes	complemented
80	C₂×#13094006	C₂²	1	2	yes	complemented
81	C₂×#13094005	C₂²	1	2	yes	complemented
82	C₂×#13094005	C₂²	1	2	yes	complemented
83	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13094003	C₂²	1	2	yes	complemented
87	C₂×#13094003	C₂²	1	2	yes	complemented
88	C₂×#13094002	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13094001	C₂²	1	2	yes	complemented
90	C₂×#13094001	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13094001	C₂²	1	2	yes	complemented
92	C₂×#13094000	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13094000	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13093998	C₂²	1	2	yes	complemented
95	C₂×#13093997	C₂²	1	1	yes	characteristic
96	C₂×#13093997	C₂²	1	2	yes	complemented
97	C₂×#13093996	C₂²	1	2	yes	—
98	C₂×#13093996	C₂²	1	1	yes	characteristic
99	C₂×#13093996	C₂²	1	2	yes	complemented
100	C₂×#13093995	C₂²	1	1	yes	characteristic
101	C₂×#13093995	C₂²	1	1	yes	characteristic
102	C₂×#13093995	C₂²	1	1	yes	characteristic
103	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13093995	C₂²	1	2	yes	complemented
105	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13093994	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13093993	C₂²	1	2	yes	—
108	C₂×#13093993	C₂²	1	2	yes	—
109	C₂×#13093993	C₂²	1	2	yes	complemented
110	C₂×#13093992	C₂²	1	1	yes	characteristic
111	C₂×#13093992	C₂²	1	2	yes	complemented
112	C₂×#13093992	C₂²	1	2	yes	complemented
113	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13093989	C₂²	1	2	yes	complemented
116	C₂×#13093989	C₂²	1	2	yes	complemented
117	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
118	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
119	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
120	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
121	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
123	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
124	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
125	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
126	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
127	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13093983	C₂²	1	2	yes	complemented
129	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13093982	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13093982	C₂²	1	1	yes	characteristic, complemented
132	C₂×#13093981	C₂²	1	1	yes	characteristic, complemented
133	C₂×#13093980	C₂²	1	2	yes	complemented
134	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
135	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
136	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
137	C₄₇×#546	C₂²	1	16	yes	complemented
138	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
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	—
143	C₂×#120×C₄₇	C₂²	1	2	yes	—
144	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
148	C₂×#10625350	—	4	4	no	—
149	C₂×#10625350	C₂³	1	8	yes	—
150	C₂×#10625352	—	4	4	no	—
151	C₂×#10625352	C₂³	1	8	yes	—
152	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
153	C₂²×Dic₉₄	C₂³	1	2	yes	—
154	C₂²×Dic₉₄	C₂³	1	2	yes	—
155	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
156	C₂²×Dic₉₄	C₂³	1	2	yes	—
157	C₂×Q₈×D₄₇	—	4	4	no	—
158	C₂×Q₈×D₄₇	C₂³	1	8	yes	complemented
159	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
160	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
169	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
171	C₂³×Dic₄₇	C₂³	1	2	yes	—
172	C₂³×Dic₄₇	C₂³	1	2	yes	—
173	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₄₇	—	4	4	no	—
175	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
180	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₄₇	C₂³	1	8	yes	complemented
182	#13094024	C₂³	1	8	yes	complemented
183	#13094023	C₂³	1	8	yes	complemented
184	#13094023	C₂³	1	16	yes	complemented
185	#13094020	C₂³	1	16	yes	—
186	#13094019	C₂³	1	16	yes	complemented
187	#13094017	C₂³	1	16	yes	complemented
188	#13094017	C₂³	1	16	yes	complemented
189	#13094017	C₂³	1	16	yes	complemented
190	#13094017	C₂³	1	16	yes	complemented
191	#13094017	C₂³	1	16	yes	complemented
192	#13094011	C₂³	1	16	yes	—
193	#13094011	C₂³	1	8	yes	complemented
194	#13094011	C₂³	1	16	yes	complemented
195	#13094011	C₂³	1	16	yes	complemented
196	#13094011	C₂³	1	16	yes	complemented
197	#13094010	C₂³	1	16	yes	—
198	#13094010	C₂³	1	16	yes	—
199	#13094010	C₂³	1	16	yes	complemented
200	#13094010	C₂³	1	16	yes	complemented
201	#13094010	C₂³	1	16	yes	complemented
202	#13094010	C₂³	1	16	yes	complemented
203	#13094010	C₂³	1	16	yes	complemented
204	#13094010	C₂³	1	16	yes	complemented
205	#13094009	C₂³	1	8	yes	complemented
206	#13094009	C₂³	1	16	yes	complemented
207	#13094008	C₂³	1	16	yes	complemented
208	#13094007	C₂³	1	16	yes	complemented
209	#13094006	C₂³	1	8	yes	—
210	#13094006	C₂³	1	16	yes	complemented
211	#13094006	C₂³	1	16	yes	complemented
212	#13094005	C₂³	1	16	yes	complemented
213	#13094005	C₂³	1	16	yes	complemented
214	#13094004	C₂³	1	8	yes	complemented
215	#13094003	C₂³	1	16	yes	complemented
216	#13094003	C₂³	1	16	yes	complemented
217	#13094003	C₂³	1	8	yes	complemented
218	#13094003	C₂³	1	8	yes	complemented
219	#13094002	C₂³	1	8	yes	complemented
220	#13094001	C₂³	1	8	yes	complemented
221	#13094001	C₂³	1	16	yes	complemented
222	#13094001	C₂³	1	16	yes	complemented
223	#13094000	C₂³	1	8	yes	complemented
224	#13094000	C₂³	1	8	yes	complemented
225	#13093998	C₂³	1	16	yes	complemented
226	#13093997	C₂³	1	8	yes	—
227	#13093997	C₂³	1	16	yes	complemented
228	#13093996	C₂³	1	16	yes	—
229	#13093996	C₂³	1	8	yes	—
230	#13093996	C₂³	1	16	yes	complemented
231	#13093995	C₂³	1	8	yes	—
232	#13093995	C₂³	1	8	yes	—
233	#13093995	C₂³	1	8	yes	—
234	#13093995	C₂³	1	8	yes	complemented
235	#13093995	C₂³	1	16	yes	complemented
236	#13093995	C₂³	1	8	yes	complemented
237	#13093994	C₂³	1	8	yes	complemented
238	#13093993	C₂³	1	16	yes	—
239	#13093993	C₂³	1	16	yes	—
240	#13093993	C₂³	1	16	yes	complemented
241	#13093992	C₂³	1	8	yes	—
242	#13093992	C₂³	1	16	yes	complemented
243	#13093992	C₂³	1	16	yes	complemented
244	Q₈×Dic₄₇	C₂³	1	8	yes	complemented
245	C₄×Dic₉₄	C₂³	1	8	yes	complemented
246	#13093989	C₂³	1	16	yes	complemented
247	#13093989	C₂³	1	16	yes	complemented
248	C₄×D₁₈₈	C₂³	1	8	yes	complemented
249	D₄×Dic₄₇	C₂³	1	16	yes	complemented
250	D₄×Dic₄₇	C₂³	1	8	yes	complemented
251	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
252	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
253	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
254	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
255	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
256	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
257	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
258	#13093983	C₂³	1	16	yes	complemented
259	#13093983	C₂³	1	8	yes	complemented
260	#13093983	C₂³	1	8	yes	complemented
261	#13093982	C₂³	1	8	yes	complemented
262	#13093982	C₂³	1	8	yes	complemented
263	#13093981	C₂³	1	8	yes	complemented
264	#13093980	C₂³	1	16	yes	complemented
265	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
270	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
271	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
272	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
281	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
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	2	yes	—
292	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
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	16	yes	complemented
297	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
305	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
309	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
310	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
312	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
313	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
314	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
315	C₂⁵×C₄₇	C₂³	1	2	yes	—
316	C₂×#41×C₄₇	—	4	4	no	—
317	C₂×#41×C₄₇	C₂³	1	8	yes	—
318	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
319	C₂²×D₄×C₄₇	—	4	4	no	—
320	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
324	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
325	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
326	C₂²×D₄×C₄₇	C₂³	1	8	yes	complemented
327	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
330	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
331	#124×C₄₇	C₂³	1	8	yes	complemented
332	#123×C₄₇	C₂³	1	16	yes	complemented
333	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
334	#121×C₄₇	C₂³	1	16	yes	—
335	#121×C₄₇	C₂³	1	8	yes	—
336	#120×C₄₇	C₂³	1	16	yes	—
337	C₄×D₄×C₄₇	C₂³	1	8	yes	—
338	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
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	16	yes	complemented
350	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
351	C₂⁴×C₄₇	—	4	4	no	—
352	C₂⁴×C₄₇	—	4	4	no	—
353	C₂⁴×C₄₇	—	4	4	no	—
354	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
356	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
357	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄₇	C₂⁴	1	8	yes	—
359	C₂³×D₄₇	—	4	2	no	—
360	C₂³×D₄₇	—	4	2	no	—
361	C₂³×D₄₇	—	4	2	no	—
362	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
363	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
364	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
365	C₂³×D₄₇	C₂⁴	1	4	yes	—
366	#41×C₄₇	—	4	16	no	—
367	C₂×Q₈×C₄₇	—	2	4	no	—
368	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
369	C₂×D₄×C₄₇	—	2	4	no	—
370	C₂×D₄×C₄₇	—	2	4	no	—
371	C₂×D₄×C₄₇	—	4	16	no	—
372	C₂×D₄×C₄₇	—	4	4	no	—
373	C₂×D₄×C₄₇	—	4	2	no	—
374	C₂×D₄×C₄₇	—	4	4	no	—
375	C₂×D₄×C₄₇	—	4	4	no	—
376	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
377	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
378	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
379	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
380	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
381	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
382	C₂²×C₄×C₄₇	—	2	4	no	—
383	C₂²×C₄×C₄₇	—	2	4	no	—
384	C₂²×C₄×C₄₇	—	4	4	no	—
385	C₂²×C₄×C₄₇	—	4	4	no	—
386	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
389	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
394	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
395	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₂×C₂²⋊D₄₇	—	4	2	no	—
398	C₂×C₂²⋊D₄₇	—	4	4	no	—
399	C₂×C₂²⋊D₄₇	—	4	4	no	—
400	C₂×C₂²⋊D₄₇	—	4	4	no	—
401	C₂×C₂²⋊D₄₇	—	4	4	no	—
402	C₂×C₂²⋊D₄₇	—	4	4	no	—
403	C₂×C₂²⋊D₄₇	—	4	2	no	—
404	C₂×C₂²⋊D₄₇	—	4	4	no	—
405	C₂×C₂²⋊D₄₇	—	4	2	no	—
406	C₂×C₂²⋊D₄₇	—	4	2	no	—
407	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
414	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
415	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
416	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
417	C₂²×Dic₄₇	—	4	2	no	—
418	C₂²×Dic₄₇	—	4	4	no	—
419	C₂²×Dic₄₇	—	4	4	no	—
420	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
422	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
423	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
424	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
428	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
430	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
431	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
432	Q₈×D₄₇	—	4	16	no	—
433	#10625352	—	4	16	no	—
434	#10625350	—	4	16	no	—
435	C₂×D₁₈₈	—	4	2	no	—
436	C₂×D₁₈₈	—	4	2	no	—
437	C₂×D₁₈₈	C₂⁴	1	4	yes	—
438	C₂×D₁₈₈	C₂⁴	1	4	yes	—
439	C₂×C₄×D₄₇	—	2	4	no	—
440	C₂×C₄×D₄₇	—	2	4	no	—
441	C₂×C₄×D₄₇	—	2	4	no	—
442	C₂×C₄×D₄₇	—	4	16	no	—
443	C₂×C₄×D₄₇	—	4	2	no	—
444	C₂×C₄×D₄₇	—	4	2	no	—
445	C₂×C₄×D₄₇	—	4	4	no	—
446	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
447	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
448	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
449	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
450	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
451	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
452	C₂×Dic₉₄	—	2	4	no	—
453	C₂×Dic₉₄	—	4	4	no	—
454	C₂×Dic₉₄	—	4	4	no	—
455	C₂×Dic₉₄	—	4	4	no	—
456	C₂×Dic₉₄	—	4	2	no	—
457	C₂×Dic₉₄	C₂⁴	1	4	yes	—
458	C₂×Dic₉₄	C₂⁴	1	8	yes	—
459	C₂×Dic₉₄	C₂⁴	1	8	yes	—
460	C₂×Dic₉₄	C₂⁴	1	4	yes	—
461	C₂×Dic₉₄	C₂⁴	1	8	yes	—
462	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
463	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
464	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
465	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
466	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
467	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
468	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
469	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
470	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
471	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
472	C₄²×C₄₇	C₂⁴	1	4	yes	—
473	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
474	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
475	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
478	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
479	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
482	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
483	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
484	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
485	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
486	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
487	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	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	4	yes	—
492	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
493	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
494	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
495	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
496	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
497	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
498	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
499	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
500	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
501	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
502	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
503	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
504	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
505	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
506	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
507	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
508	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
509	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
510	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
511	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
512	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
513	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
514	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
515	C₄×Dic₄₇	C₂⁴	1	8	yes	—
516	C₄×Dic₄₇	C₂⁴	1	8	yes	—
517	C₄×Dic₄₇	C₂⁴	1	4	yes	—
518	C₄×Dic₄₇	C₂⁴	1	8	yes	—
519	C₄×Dic₄₇	C₂⁴	1	8	yes	—
520	C₄×Dic₄₇	C₂⁴	1	8	yes	—
521	C₄×Dic₄₇	C₂⁴	1	8	yes	—
522	C₂³×C₄₇	—	2	4	no	—
523	C₂³×C₄₇	—	2	2	no	—
524	C₂³×C₄₇	—	2	2	no	—
525	C₂³×C₄₇	—	2	4	no	—
526	C₂³×C₄₇	—	2	4	no	—
527	C₂³×C₄₇	—	2	4	no	—
528	C₂³×C₄₇	—	2	4	no	—
529	C₂³×C₄₇	—	2	2	no	—
530	C₂³×C₄₇	—	2	4	no	—
531	C₂³×C₄₇	—	2	2	no	—
532	C₂³×C₄₇	—	2	2	no	—
533	C₂³×C₄₇	—	2	2	no	—
534	C₂³×C₄₇	—	4	8	no	—
535	C₂³×C₄₇	—	4	8	no	—
536	C₂³×C₄₇	—	4	8	no	—
537	C₂³×C₄₇	—	8	16	no	—
538	C₂³×C₄₇	C₂⁵	1	2	yes	—
539	C₂³×C₄₇	C₂⁵	1	2	yes	—
540	C₂³×C₄₇	C₂⁵	1	4	yes	—
541	C₂³×C₄₇	C₂⁵	1	4	yes	—
542	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
543	C₂²×D₄₇	—	2	2	no	—
544	C₂²×D₄₇	—	2	2	no	—
545	C₂²×D₄₇	—	2	2	no	—
546	C₂²×D₄₇	—	2	2	no	—
547	C₂²×D₄₇	—	2	2	no	—
548	C₂²×D₄₇	—	2	2	no	—
549	C₂²×D₄₇	—	2	2	no	—
550	C₂²×D₄₇	—	2	2	no	—
551	C₂²×D₄₇	—	2	2	no	—
552	C₂²×D₄₇	—	4	4	no	—
553	C₂²×D₄₇	—	4	4	no	—
554	C₂²×D₄₇	—	4	4	no	—
555	C₂²×D₄₇	—	4	16	no	—
556	C₂²×D₄₇	C₂⁵	1	2	yes	—
557	C₂²×D₄₇	C₂⁵	1	2	yes	—
558	C₂²×D₄₇	C₂⁵	1	2	yes	—
559	Q₈×C₄₇	—	2	8	no	—
560	D₄×C₄₇	—	2	8	no	—
561	D₄×C₄₇	—	2	8	no	—
562	D₄×C₄₇	—	4	8	no	—
563	D₄×C₄₇	—	4	4	no	—
564	D₄×C₄₇	—	4	8	no	—
565	D₄×C₄₇	—	4	8	no	—
566	C₂×C₄×C₄₇	—	2	4	no	—
567	C₂×C₄×C₄₇	—	2	2	no	—
568	C₂×C₄×C₄₇	—	2	2	no	—
569	C₂×C₄×C₄₇	—	2	2	no	—
570	C₂×C₄×C₄₇	—	2	4	no	—
571	C₂×C₄×C₄₇	—	2	2	no	—
572	C₂×C₄×C₄₇	—	2	8	no	—
573	C₂×C₄×C₄₇	—	2	8	no	—
574	C₂×C₄×C₄₇	—	4	8	no	—
575	C₂×C₄×C₄₇	—	4	8	no	—
576	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
577	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
578	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
579	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
580	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
581	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
582	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
583	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
584	C₂²⋊D₄₇	—	4	4	no	—
585	C₂²⋊D₄₇	—	4	4	no	—
586	C₂²⋊D₄₇	—	4	8	no	—
587	C₂²⋊D₄₇	—	4	4	no	—
588	C₂²⋊D₄₇	—	4	8	no	—
589	C₂²⋊D₄₇	—	4	8	no	—
590	C₂²⋊D₄₇	—	4	8	no	—
591	C₂²⋊D₄₇	—	4	8	no	—
592	C₂²⋊D₄₇	—	4	8	no	—
593	C₂²⋊D₄₇	—	4	4	no	—
594	C₂×Dic₄₇	—	2	4	no	—
595	C₂×Dic₄₇	—	2	2	no	—
596	C₂×Dic₄₇	—	2	2	no	—
597	C₂×Dic₄₇	—	2	2	no	—
598	C₂×Dic₄₇	—	2	2	no	—
599	C₂×Dic₄₇	—	2	4	no	—
600	C₂×Dic₄₇	—	2	4	no	—
601	C₂×Dic₄₇	—	2	4	no	—
602	C₂×Dic₄₇	—	2	2	no	—
603	C₂×Dic₄₇	—	4	4	no	—
604	C₂×Dic₄₇	—	4	8	no	—
605	C₂×Dic₄₇	—	4	8	no	—
606	C₂×Dic₄₇	C₂⁵	1	4	yes	—
607	C₂×Dic₄₇	C₂⁵	1	2	yes	—
608	C₂×Dic₄₇	C₂⁵	1	4	yes	—
609	C₂×Dic₄₇	C₂⁵	1	2	yes	—
610	C₂×Dic₄₇	C₂⁵	1	4	yes	—
611	C₂×Dic₄₇	C₂⁵	1	2	yes	—
612	C₂×Dic₄₇	C₂⁵	1	2	yes	—
613	C₂×Dic₄₇	C₂⁵	1	4	yes	—
614	C₂×Dic₄₇	C₂⁵	1	2	yes	—
615	D₁₈₈	—	4	4	no	—
616	D₁₈₈	—	4	4	no	—
617	C₄×D₄₇	—	2	8	no	—
618	C₄×D₄₇	—	2	8	no	—
619	C₄×D₄₇	—	2	8	no	—
620	C₄×D₄₇	—	4	4	no	—
621	C₄×D₄₇	—	4	4	no	—
622	C₄×D₄₇	—	4	8	no	—
623	Dic₉₄	—	2	8	no	—
624	Dic₉₄	—	4	8	no	—
625	Dic₉₄	—	4	8	no	—
626	Dic₉₄	—	4	4	no	—
627	Dic₉₄	—	4	8	no	—
628	C₂×#3540	—	47	1	no	maximal, Sylow
629	C₂²×C₄₇	—	2	4	no	—
630	C₂²×C₄₇	—	2	2	no	—
631	C₂²×C₄₇	—	2	2	no	—
632	C₂²×C₄₇	—	2	4	no	—
633	C₂²×C₄₇	—	2	4	no	—
634	C₂²×C₄₇	—	2	4	no	—
635	C₂²×C₄₇	—	2	4	no	—
636	C₂²×C₄₇	—	2	2	no	—
637	C₂²×C₄₇	—	2	4	no	—
638	C₂²×C₄₇	—	2	2	no	—
639	C₂²×C₄₇	—	2	2	no	—
640	C₂²×C₄₇	—	2	2	no	—
641	C₂²×C₄₇	—	4	4	no	—
642	C₂²×C₄₇	—	4	8	no	—
643	C₂²×C₄₇	—	4	8	no	—
644	C₂²×C₄₇	—	4	4	no	—
645	C₂²×C₄₇	—	8	16	no	—
646	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
647	C₂²×C₄₇	#585	1	2	yes	—
648	C₂²×C₄₇	#585	1	2	yes	—
649	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
650	C₂×D₄₇	—	2	2	no	—
651	C₂×D₄₇	—	2	2	no	—
652	C₂×D₄₇	—	2	2	no	—
653	C₂×D₄₇	—	2	2	no	—
654	C₂×D₄₇	—	2	2	no	—
655	C₂×D₄₇	—	2	2	no	—
656	C₂×D₄₇	—	2	2	no	—
657	C₂×D₄₇	—	2	2	no	—
658	C₂×D₄₇	—	2	2	no	—
659	C₂×D₄₇	—	4	16	no	—
660	C₂×D₄₇	—	4	4	no	—
661	C₂×D₄₇	—	4	4	no	—
662	C₂×D₄₇	—	4	4	no	—
663	C₄×C₄₇	—	2	4	no	—
664	C₄×C₄₇	—	2	2	no	—
665	C₄×C₄₇	—	2	2	no	—
666	C₄×C₄₇	—	2	2	no	—
667	C₄×C₄₇	—	2	4	no	—
668	C₄×C₄₇	—	2	2	no	—
669	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
670	Dic₄₇	—	2	4	no	—
671	Dic₄₇	—	2	2	no	—
672	Dic₄₇	—	2	2	no	—
673	Dic₄₇	—	2	2	no	—
674	Dic₄₇	—	2	2	no	—
675	Dic₄₇	—	2	4	no	—
676	Dic₄₇	—	2	4	no	—
677	Dic₄₇	—	2	4	no	—
678	Dic₄₇	—	2	2	no	—
679	#3540	—	47	32	no	—
680	C₂×H(3,𝔽₄)	—	47	2	no	—
681	C₂×#560	—	47	2	no	—
682	C₂×#559	—	47	2	no	—
683	C₂×#556	—	47	1	no	—
684	C₂×#556	—	47	1	no	—
685	C₂×#555	—	47	1	no	—
686	C₂×#555	—	47	1	no	—
687	C₂×#551	—	47	2	no	—
688	C₂×#548	—	47	1	no	—
689	C₂×#548	—	47	1	no	—
690	C₂×#546	—	47	1	no	—
691	C₂×#546	D₄₇	1	1	yes	characteristic, complemented
692	C₂×#542	—	47	1	no	—
693	C₂×#542	—	47	2	no	—
694	C₂×#542	—	47	2	no	—
695	C₂×#542	—	47	1	no	—
696	C₂×#538	—	47	2	no	—
697	C₂×#538	—	47	2	no	—
698	C₂×#536	—	47	1	no	—
699	C₂×#535	—	47	1	no	—
700	C₂×#525	—	47	1	no	—
701	C₂×#525	—	47	1	no	—
702	C₂×#525	—	47	1	no	—
703	C₂×C₄₇	—	4	2	no	—
704	C₂×C₄₇	—	4	4	no	—
705	C₂×C₄₇	—	4	4	no	—
706	C₂×C₄₇	—	4	2	no	—
707	C₂×C₄₇	#3540	1	4	yes	complemented
708	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
709	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
710	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
711	D₄₇	—	4	2	no	—
712	D₄₇	—	4	2	no	—
713	D₄₇	—	4	2	no	—
714	C₂²×#41	—	47	1	no	—
715	C₂²×#41	—	47	1	no	—
716	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
717	C₂³×Q₈	—	47	1	no	—
718	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
719	C₂⁴×C₄	—	47	1	no	—
720	H(3,𝔽₄)	—	47	32	no	—
721	#560	—	47	32	no	—
722	#559	—	47	32	no	—
723	#556	—	47	16	no	—
724	#556	—	47	16	no	—
725	#555	—	47	16	no	—
726	#555	—	47	16	no	—
727	#551	—	47	32	no	—
728	#548	—	47	16	no	—
729	#548	—	47	16	no	—
730	#546	—	47	16	no	—
731	#546	C₂×D₄₇	1	16	yes	complemented
732	#542	—	47	16	no	—
733	#542	—	47	32	no	—
734	#542	—	47	32	no	—
735	#542	—	47	16	no	—
736	#538	—	47	32	no	—
737	#538	—	47	32	no	—
738	#536	—	47	16	no	—
739	#535	—	47	16	no	—
740	C₂×C₄⋊Q₈	—	47	2	no	—
741	C₂×C₄⋊Q₈	—	47	1	no	—
742	C₂×C₄⋊Q₈	—	47	1	no	—
743	C₂×#127	—	47	2	no	—
744	C₂×#126	—	47	2	no	—
745	C₂×#126	—	47	2	no	—
746	C₂×#126	—	47	2	no	—
747	C₂×#126	—	47	2	no	—
748	C₂×#126	—	47	2	no	—
749	C₂×#126	—	47	2	no	—
750	C₂×#124	—	47	2	no	—
751	C₂×#124	—	47	2	no	—
752	C₂×#124	—	47	1	no	—
753	C₂×#124	—	47	2	no	—
754	C₂×#124	—	47	2	no	—
755	C₂×#124	—	47	2	no	—
756	C₂×#124	—	47	2	no	—
757	C₂×#124	—	47	2	no	—
758	C₂×#124	—	47	2	no	—
759	C₂×#124	—	47	2	no	—
760	C₂×#124	—	47	2	no	—
761	C₂×#124	—	47	2	no	—
762	C₂×#124	—	47	2	no	—
763	C₂×#124	C₂×D₄₇	1	1	yes	characteristic, complemented
764	#525	—	47	16	no	—
765	#525	—	47	16	no	—
766	#525	—	47	16	no	—
767	C₂×#123	—	47	2	no	—
768	C₂×#123	—	47	2	no	—
769	C₂×#123	—	47	2	no	—
770	C₂×#123	—	47	1	no	—
771	C₂×#123	—	47	2	no	—
772	C₂×#123	—	47	2	no	—
773	C₂×#123	—	47	1	no	—
774	C₂×#123	—	47	2	no	—
775	C₂×#123	—	47	2	no	—
776	C₂×#123	C₂×D₄₇	1	2	yes	complemented
777	C₂×C₂²⋊Q₈	—	47	1	no	—
778	C₂×C₂²⋊Q₈	—	47	1	no	—
779	C₂×C₂²⋊Q₈	—	47	1	no	—
780	C₂×C₂²⋊Q₈	—	47	1	no	—
781	C₂×C₂²⋊Q₈	—	47	2	no	—
782	C₂×C₂²⋊Q₈	—	47	2	no	—
783	C₂×C₂²⋊Q₈	—	47	1	no	—
784	C₂×C₂²⋊Q₈	—	47	1	no	—
785	C₂×C₂²⋊Q₈	—	47	1	no	—
786	C₂×C₂²⋊Q₈	—	47	2	no	—
787	C₂×C₂²⋊Q₈	—	47	2	no	—
788	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
789	C₂×#121	—	47	1	no	—
790	C₂×#121	—	47	1	no	—
791	C₂×#121	—	47	1	no	—
792	C₂×#121	—	47	1	no	—
793	C₂×#121	—	47	1	no	—
794	C₂×#121	—	47	1	no	—
795	C₂×#121	—	47	2	no	—
796	C₂×#121	—	47	2	no	—
797	C₂×#121	—	47	2	no	—
798	C₂×#121	—	47	2	no	—
799	C₂×#121	—	47	1	no	—
800	C₂×#121	—	47	2	no	—
801	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
802	C₂×#121	C₂×D₄₇	1	2	yes	—
803	C₂×#120	—	47	2	no	—
804	C₂×#120	—	47	2	no	—
805	C₂×#120	—	47	2	no	—
806	C₂×#120	—	47	1	no	—
807	C₂×#120	—	47	2	no	—
808	C₂×#120	—	47	2	no	—
809	C₂×#120	—	47	1	no	—
810	C₂×#120	C₂×D₄₇	1	2	yes	—
811	C₂×C₄×Q₈	—	47	1	no	—
812	C₂×C₄×Q₈	—	47	2	no	—
813	C₂×C₄×Q₈	—	47	2	no	—
814	C₂×C₄×Q₈	—	47	1	no	—
815	C₂×C₄×D₄	—	47	2	no	—
816	C₂×C₄×D₄	—	47	1	no	—
817	C₂×C₄×D₄	—	47	1	no	—
818	C₂×C₄×D₄	—	47	2	no	—
819	C₂×C₄×D₄	—	47	1	no	—
820	C₂×C₄×D₄	—	47	2	no	—
821	C₂×C₄×D₄	—	47	2	no	—
822	C₂×C₄×D₄	—	47	2	no	—
823	C₂×C₄×D₄	—	47	2	no	—
824	C₂×C₄×D₄	—	47	1	no	—
825	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
826	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
827	C₂×#117	—	47	1	no	—
828	C₂×#117	—	47	1	no	—
829	C₂×#117	—	47	2	no	—
830	C₂×#117	—	47	1	no	—
831	C₂×#117	—	47	1	no	—
832	C₂×#117	—	47	2	no	—
833	C₂×#117	—	47	1	no	—
834	C₂²×C₂²⋊C₄	—	47	2	no	—
835	C₂²×C₂²⋊C₄	C₂×D₄₇	1	2	yes	complemented
836	C₄₇	C₂×#3540	1	1	yes	characteristic, complemented, Sylow
837	C₂⁵	—	47	1	no	—
838	C₂⁵	C₂²×D₄₇	1	2	yes	—
839	C₂×#41	—	4	4	no	—
840	C₂×#41	—	47	8	no	—
841	C₂×#41	—	47	8	no	—
842	C₂×#41	—	188	4	no	—
843	C₂×#41	—	188	4	no	—
844	C₂×#41	C₂²×D₄₇	1	8	yes	—
845	C₂²×Q₈	—	47	8	no	—
846	C₂²×Q₈	—	47	1	no	—
847	C₂²×Q₈	—	47	2	no	—
848	C₂²×Q₈	—	47	2	no	—
849	C₂²×Q₈	—	47	2	no	—
850	C₂²×Q₈	—	47	1	no	—
851	C₂²×Q₈	—	188	4	no	—
852	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
853	C₂²×D₄	—	4	4	no	—
854	C₂²×D₄	—	47	1	no	—
855	C₂²×D₄	—	47	2	no	—
856	C₂²×D₄	—	47	2	no	—
857	C₂²×D₄	—	47	2	no	—
858	C₂²×D₄	—	47	1	no	—
859	C₂²×D₄	—	47	2	no	—
860	C₂²×D₄	—	47	2	no	—
861	C₂²×D₄	—	47	1	no	—
862	C₂²×D₄	—	47	1	no	—
863	C₂²×D₄	—	47	2	no	—
864	C₂²×D₄	—	47	1	no	—
865	C₂²×D₄	—	47	1	no	—
866	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
867	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
868	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
869	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
870	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
871	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
872	C₂²×D₄	C₂²×D₄₇	1	8	yes	complemented
873	C₂³×C₄	—	47	2	no	—
874	C₂³×C₄	—	47	2	no	—
875	C₂³×C₄	—	47	1	no	—
876	C₂³×C₄	—	47	1	no	—
877	C₂³×C₄	—	47	1	no	—
878	C₂³×C₄	—	47	1	no	—
879	C₂³×C₄	—	47	1	no	—
880	C₂³×C₄	—	47	2	no	—
881	C₂³×C₄	—	47	1	no	—
882	C₂³×C₄	—	47	8	no	—
883	C₂³×C₄	—	188	4	no	—
884	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
885	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
886	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
887	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
888	C₄⋊Q₈	—	47	16	no	—
889	C₄⋊Q₈	—	47	8	no	—
890	C₄⋊Q₈	—	47	8	no	—
891	#127	—	47	16	no	—
892	#126	—	47	16	no	—
893	#126	—	47	16	no	—
894	#126	—	47	16	no	—
895	#126	—	47	16	no	—
896	#126	—	47	16	no	—
897	#126	—	47	16	no	—
898	#124	—	47	16	no	—
899	#124	—	47	16	no	—
900	#124	—	47	8	no	—
901	#124	—	47	16	no	—
902	#124	—	47	16	no	—
903	#124	—	47	16	no	—
904	#124	—	47	16	no	—
905	#124	—	47	16	no	—
906	#124	—	47	16	no	—
907	#124	—	47	16	no	—
908	#124	—	47	16	no	—
909	#124	—	47	16	no	—
910	#124	—	47	16	no	—
911	#124	C₂²×D₄₇	1	8	yes	complemented
912	#123	—	47	16	no	—
913	#123	—	47	16	no	—
914	#123	—	47	16	no	—
915	#123	—	47	8	no	—
916	#123	—	47	16	no	—
917	#123	—	47	16	no	—
918	#123	—	47	8	no	—
919	#123	—	47	16	no	—
920	#123	—	47	16	no	—
921	#123	C₂²×D₄₇	1	16	yes	complemented
922	C₂²⋊Q₈	—	47	8	no	—
923	C₂²⋊Q₈	—	47	8	no	—
924	C₂²⋊Q₈	—	47	8	no	—
925	C₂²⋊Q₈	—	47	8	no	—
926	C₂²⋊Q₈	—	47	16	no	—
927	C₂²⋊Q₈	—	47	16	no	—
928	C₂²⋊Q₈	—	47	8	no	—
929	C₂²⋊Q₈	—	47	8	no	—
930	C₂²⋊Q₈	—	47	8	no	—
931	C₂²⋊Q₈	—	47	16	no	—
932	C₂²⋊Q₈	—	47	16	no	—
933	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
934	#121	—	47	8	no	—
935	#121	—	47	8	no	—
936	#121	—	47	8	no	—
937	#121	—	47	8	no	—
938	#121	—	47	8	no	—
939	#121	—	47	8	no	—
940	#121	—	47	16	no	—
941	#121	—	47	16	no	—
942	#121	—	47	16	no	—
943	#121	—	47	16	no	—
944	#121	—	47	8	no	—
945	#121	—	47	16	no	—
946	#121	C₂²×D₄₇	1	8	yes	—
947	#121	C₂²×D₄₇	1	16	yes	—
948	#120	—	47	16	no	—
949	#120	—	47	16	no	—
950	#120	—	47	16	no	—
951	#120	—	47	16	no	—
952	#120	—	47	16	no	—
953	#120	—	47	8	no	—
954	#120	—	47	8	no	—
955	#120	C₂²×D₄₇	1	16	yes	—
956	C₄×Q₈	—	47	8	no	—
957	C₄×Q₈	—	47	16	no	—
958	C₄×Q₈	—	47	16	no	—
959	C₄×Q₈	—	47	8	no	—
960	C₄×D₄	—	47	16	no	—
961	C₄×D₄	—	47	8	no	—
962	C₄×D₄	—	47	16	no	—
963	C₄×D₄	—	47	8	no	—
964	C₄×D₄	—	47	8	no	—
965	C₄×D₄	—	47	16	no	—
966	C₄×D₄	—	47	16	no	—
967	C₄×D₄	—	47	16	no	—
968	C₄×D₄	—	47	16	no	—
969	C₄×D₄	—	47	8	no	—
970	C₄×D₄	C₂²×D₄₇	1	8	yes	—
971	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
972	#117	—	47	8	no	—
973	#117	—	47	8	no	—
974	#117	—	47	16	no	—
975	#117	—	47	8	no	—
976	#117	—	47	8	no	—
977	#117	—	47	16	no	—
978	#117	—	47	8	no	—
979	C₂×C₄⋊C₄	—	47	1	no	—
980	C₂×C₄⋊C₄	—	47	1	no	—
981	C₂×C₄⋊C₄	—	47	1	no	—
982	C₂×C₄⋊C₄	—	47	1	no	—
983	C₂×C₄⋊C₄	—	47	1	no	—
984	C₂×C₄⋊C₄	—	47	1	no	—
985	C₂×C₄⋊C₄	—	47	1	no	—
986	C₂×C₄⋊C₄	—	47	2	no	—
987	C₂×C₄⋊C₄	—	47	2	no	—
988	C₂×C₄⋊C₄	—	47	2	no	—
989	C₂×C₄⋊C₄	—	47	2	no	—
990	C₂×C₄⋊C₄	—	47	1	no	—
991	C₂×C₄⋊C₄	—	47	2	no	—
992	C₂×C₄⋊C₄	—	47	2	no	—
993	C₂×C₄⋊C₄	—	47	2	no	—
994	C₂×C₄⋊C₄	—	47	2	no	—
995	C₂×C₄⋊C₄	—	47	2	no	—
996	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
999	C₂×C₂²⋊C₄	—	47	1	no	—
1000	C₂×C₂²⋊C₄	—	47	2	no	—
1001	C₂×C₂²⋊C₄	—	47	2	no	—
1002	C₂×C₂²⋊C₄	—	47	2	no	—
1003	C₂×C₂²⋊C₄	—	47	16	no	—
1004	C₂×C₂²⋊C₄	—	47	2	no	—
1005	C₂×C₂²⋊C₄	—	47	2	no	—
1006	C₂×C₂²⋊C₄	—	47	2	no	—
1007	C₂×C₂²⋊C₄	—	47	2	no	—
1008	C₂×C₂²⋊C₄	—	47	2	no	—
1009	C₂×C₂²⋊C₄	—	47	2	no	—
1010	C₂×C₂²⋊C₄	—	47	2	no	—
1011	C₂×C₂²⋊C₄	—	47	2	no	—
1012	C₂×C₂²⋊C₄	—	47	1	no	—
1013	C₂×C₂²⋊C₄	—	47	2	no	—
1014	C₂×C₂²⋊C₄	—	47	2	no	—
1015	C₂×C₂²⋊C₄	—	47	1	no	—
1016	C₂×C₂²⋊C₄	—	47	1	no	—
1017	C₂×C₂²⋊C₄	—	47	2	no	—
1018	C₂×C₂²⋊C₄	—	47	1	no	—
1019	C₂×C₂²⋊C₄	—	47	1	no	—
1020	C₂×C₂²⋊C₄	—	47	1	no	—
1021	C₂×C₂²⋊C₄	—	47	2	no	—
1022	C₂×C₂²⋊C₄	—	47	2	no	—
1023	C₂×C₂²⋊C₄	—	47	2	no	—
1024	C₂×C₂²⋊C₄	—	47	1	no	—
1025	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1027	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1028	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1029	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1030	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1032	C₂×C₂²⋊C₄	C₂²×D₄₇	1	16	yes	complemented
1033	C₂×C₄²	—	47	2	no	—
1034	C₂×C₄²	—	47	2	no	—
1035	C₂×C₄²	—	47	2	no	—
1036	C₂×C₄²	—	47	1	no	—
1037	C₂×C₄²	—	47	2	no	—
1038	C₂×C₄²	—	47	2	no	—
1039	C₂×C₄²	—	47	2	no	—
1040	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1041	C₂⁴	—	4	4	no	—
1042	C₂⁴	—	4	4	no	—
1043	C₂⁴	—	4	4	no	—
1044	C₂⁴	—	47	1	no	—
1045	C₂⁴	—	47	1	no	—
1046	C₂⁴	—	47	1	no	—
1047	C₂⁴	—	47	4	no	—
1048	C₂⁴	—	188	2	no	—
1049	C₂⁴	—	188	2	no	—
1050	C₂⁴	—	188	2	no	—
1051	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1052	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1053	C₂⁴	C₂³×D₄₇	1	2	yes	—
1054	C₂⁴	C₂³×D₄₇	1	2	yes	—
1055	C₂⁴	C₂³×D₄₇	1	8	yes	—
1056	#41	—	4	16	no	—
1057	#41	—	188	16	no	—
1058	#41	—	188	16	no	—
1059	C₂×Q₈	—	2	4	no	—
1060	C₂×Q₈	—	47	4	no	—
1061	C₂×Q₈	—	47	8	no	—
1062	C₂×Q₈	—	47	8	no	—
1063	C₂×Q₈	—	47	8	no	—
1064	C₂×Q₈	—	47	4	no	—
1065	C₂×Q₈	—	94	4	no	—
1066	C₂×Q₈	—	188	4	no	—
1067	C₂×Q₈	—	188	4	no	—
1068	C₂×Q₈	—	188	4	no	—
1069	C₂×Q₈	—	188	2	no	—
1070	C₂×Q₈	—	188	16	no	—
1071	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1072	C₂×D₄	—	2	4	no	—
1073	C₂×D₄	—	2	4	no	—
1074	C₂×D₄	—	4	16	no	—
1075	C₂×D₄	—	4	4	no	—
1076	C₂×D₄	—	4	4	no	—
1077	C₂×D₄	—	4	2	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	47	4	no	—
1080	C₂×D₄	—	47	8	no	—
1081	C₂×D₄	—	47	8	no	—
1082	C₂×D₄	—	47	8	no	—
1083	C₂×D₄	—	47	4	no	—
1084	C₂×D₄	—	47	8	no	—
1085	C₂×D₄	—	47	8	no	—
1086	C₂×D₄	—	47	4	no	—
1087	C₂×D₄	—	47	4	no	—
1088	C₂×D₄	—	47	8	no	—
1089	C₂×D₄	—	47	4	no	—
1090	C₂×D₄	—	47	4	no	—
1091	C₂×D₄	—	188	2	no	—
1092	C₂×D₄	—	188	2	no	—
1093	C₂×D₄	—	188	4	no	—
1094	C₂×D₄	—	188	4	no	—
1095	C₂×D₄	—	188	2	no	—
1096	C₂×D₄	—	188	2	no	—
1097	C₂×D₄	—	188	4	no	—
1098	C₂×D₄	—	188	4	no	—
1099	C₂×D₄	—	188	4	no	—
1100	C₂×D₄	—	188	2	no	—
1101	C₂×D₄	—	188	2	no	—
1102	C₂×D₄	—	188	4	no	—
1103	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1104	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1105	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1106	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1107	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1108	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1109	C₂²×C₄	—	2	4	no	—
1110	C₂²×C₄	—	2	4	no	—
1111	C₂²×C₄	—	4	4	no	—
1112	C₂²×C₄	—	4	4	no	—
1113	C₂²×C₄	—	47	1	no	—
1114	C₂²×C₄	—	47	2	no	—
1115	C₂²×C₄	—	47	2	no	—
1116	C₂²×C₄	—	47	2	no	—
1117	C₂²×C₄	—	47	1	no	—
1118	C₂²×C₄	—	47	1	no	—
1119	C₂²×C₄	—	47	1	no	—
1120	C₂²×C₄	—	47	2	no	—
1121	C₂²×C₄	—	47	1	no	—
1122	C₂²×C₄	—	47	8	no	—
1123	C₂²×C₄	—	47	8	no	—
1124	C₂²×C₄	—	47	4	no	—
1125	C₂²×C₄	—	47	4	no	—
1126	C₂²×C₄	—	47	4	no	—
1127	C₂²×C₄	—	47	4	no	—
1128	C₂²×C₄	—	47	4	no	—
1129	C₂²×C₄	—	47	8	no	—
1130	C₂²×C₄	—	47	4	no	—
1131	C₂²×C₄	—	94	4	no	—
1132	C₂²×C₄	—	94	4	no	—
1133	C₂²×C₄	—	94	4	no	—
1134	C₂²×C₄	—	188	16	no	—
1135	C₂²×C₄	—	188	2	no	—
1136	C₂²×C₄	—	188	2	no	—
1137	C₂²×C₄	—	188	4	no	—
1138	C₂²×C₄	—	188	4	no	—
1139	C₂²×C₄	—	188	2	no	—
1140	C₂²×C₄	—	188	4	no	—
1141	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1142	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1143	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1145	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1148	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1150	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1151	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1152	C₄⋊C₄	—	47	4	no	—
1153	C₄⋊C₄	—	47	4	no	—
1154	C₄⋊C₄	—	47	4	no	—
1155	C₄⋊C₄	—	47	8	no	—
1156	C₄⋊C₄	—	47	8	no	—
1157	C₄⋊C₄	—	47	8	no	—
1158	C₄⋊C₄	—	47	4	no	—
1159	C₄⋊C₄	—	47	8	no	—
1160	C₄⋊C₄	—	47	8	no	—
1161	C₄⋊C₄	—	47	8	no	—
1162	C₄⋊C₄	—	47	4	no	—
1163	C₄⋊C₄	—	47	4	no	—
1164	C₄⋊C₄	—	47	4	no	—
1165	C₄⋊C₄	—	47	4	no	—
1166	C₄⋊C₄	—	47	8	no	—
1167	C₄⋊C₄	—	47	8	no	—
1168	C₄⋊C₄	—	47	8	no	—
1169	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1170	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1171	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1172	C₂²⋊C₄	—	47	4	no	—
1173	C₂²⋊C₄	—	47	8	no	—
1174	C₂²⋊C₄	—	47	8	no	—
1175	C₂²⋊C₄	—	47	8	no	—
1176	C₂²⋊C₄	—	47	8	no	—
1177	C₂²⋊C₄	—	47	8	no	—
1178	C₂²⋊C₄	—	47	8	no	—
1179	C₂²⋊C₄	—	47	8	no	—
1180	C₂²⋊C₄	—	47	8	no	—
1181	C₂²⋊C₄	—	47	8	no	—
1182	C₂²⋊C₄	—	47	8	no	—
1183	C₂²⋊C₄	—	47	8	no	—
1184	C₂²⋊C₄	—	47	4	no	—
1185	C₂²⋊C₄	—	47	8	no	—
1186	C₂²⋊C₄	—	47	8	no	—
1187	C₂²⋊C₄	—	47	4	no	—
1188	C₂²⋊C₄	—	47	4	no	—
1189	C₂²⋊C₄	—	47	8	no	—
1190	C₂²⋊C₄	—	47	4	no	—
1191	C₂²⋊C₄	—	47	4	no	—
1192	C₂²⋊C₄	—	47	4	no	—
1193	C₂²⋊C₄	—	47	8	no	—
1194	C₂²⋊C₄	—	47	8	no	—
1195	C₂²⋊C₄	—	47	8	no	—
1196	C₂²⋊C₄	—	47	4	no	—
1197	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1198	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1199	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1200	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1201	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1202	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1203	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1204	C₄²	—	47	8	no	—
1205	C₄²	—	47	8	no	—
1206	C₄²	—	47	8	no	—
1207	C₄²	—	47	4	no	—
1208	C₄²	—	47	8	no	—
1209	C₄²	—	47	8	no	—
1210	C₄²	—	47	8	no	—
1211	C₄²	C₂³×D₄₇	1	4	yes	—
1212	C₂³	—	2	2	no	—
1213	C₂³	—	2	2	no	—
1214	C₂³	—	2	4	no	—
1215	C₂³	—	2	4	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	2	no	—
1218	C₂³	—	2	4	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	4	no	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	4	no	—
1224	C₂³	—	4	8	no	—
1225	C₂³	—	4	8	no	—
1226	C₂³	—	4	8	no	—
1227	C₂³	—	8	16	no	—
1228	C₂³	—	47	2	no	—
1229	C₂³	—	47	2	no	—
1230	C₂³	—	47	2	no	—
1231	C₂³	—	94	2	no	—
1232	C₂³	—	94	2	no	—
1233	C₂³	—	94	2	no	—
1234	C₂³	—	94	2	no	—
1235	C₂³	—	94	2	no	—
1236	C₂³	—	94	2	no	—
1237	C₂³	—	94	2	no	—
1238	C₂³	—	94	2	no	—
1239	C₂³	—	94	2	no	—
1240	C₂³	—	188	4	no	—
1241	C₂³	—	188	4	no	—
1242	C₂³	—	188	4	no	—
1243	C₂³	—	188	16	no	—
1244	C₂³	C₂⁴×D₄₇	1	2	yes	—
1245	C₂³	C₂⁴×D₄₇	1	2	yes	—
1246	C₂³	C₂⁴×D₄₇	1	4	yes	—
1247	C₂³	C₂⁴×D₄₇	1	4	yes	—
1248	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1249	Q₈	—	2	8	no	—
1250	Q₈	—	94	8	no	—
1251	Q₈	—	188	8	no	—
1252	Q₈	—	188	8	no	—
1253	Q₈	—	188	8	no	—
1254	Q₈	—	188	4	no	—
1255	D₄	—	2	8	no	—
1256	D₄	—	2	8	no	—
1257	D₄	—	4	8	no	—
1258	D₄	—	4	8	no	—
1259	D₄	—	4	4	no	—
1260	D₄	—	4	8	no	—
1261	D₄	—	188	4	no	—
1262	D₄	—	188	4	no	—
1263	D₄	—	188	8	no	—
1264	D₄	—	188	8	no	—
1265	D₄	—	188	4	no	—
1266	D₄	—	188	4	no	—
1267	D₄	—	188	8	no	—
1268	D₄	—	188	8	no	—
1269	D₄	—	188	8	no	—
1270	D₄	—	188	4	no	—
1271	D₄	—	188	4	no	—
1272	D₄	—	188	8	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	8	no	—
1280	C₂×C₄	—	2	8	no	—
1281	C₂×C₄	—	4	8	no	—
1282	C₂×C₄	—	4	8	no	—
1283	C₂×C₄	—	47	2	no	—
1284	C₂×C₄	—	47	4	no	—
1285	C₂×C₄	—	47	4	no	—
1286	C₂×C₄	—	47	4	no	—
1287	C₂×C₄	—	47	2	no	—
1288	C₂×C₄	—	47	2	no	—
1289	C₂×C₄	—	47	2	no	—
1290	C₂×C₄	—	47	4	no	—
1291	C₂×C₄	—	47	2	no	—
1292	C₂×C₄	—	94	2	no	—
1293	C₂×C₄	—	94	2	no	—
1294	C₂×C₄	—	94	2	no	—
1295	C₂×C₄	—	94	4	no	—
1296	C₂×C₄	—	94	4	no	—
1297	C₂×C₄	—	94	2	no	—
1298	C₂×C₄	—	94	2	no	—
1299	C₂×C₄	—	94	4	no	—
1300	C₂×C₄	—	94	4	no	—
1301	C₂×C₄	—	94	8	no	—
1302	C₂×C₄	—	94	8	no	—
1303	C₂×C₄	—	94	8	no	—
1304	C₂×C₄	—	188	4	no	—
1305	C₂×C₄	—	188	4	no	—
1306	C₂×C₄	—	188	8	no	—
1307	C₂×C₄	—	188	8	no	—
1308	C₂×C₄	—	188	4	no	—
1309	C₂×C₄	—	188	8	no	—
1310	C₂×C₄	#13094069	1	4	yes	—
1311	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1312	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1313	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1314	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1315	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1316	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1317	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1318	C₂²	—	2	2	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	4	no	—
1321	C₂²	—	2	4	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	4	no	—
1327	C₂²	—	2	2	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	4	no	—
1330	C₂²	—	4	4	no	—
1331	C₂²	—	4	8	no	—
1332	C₂²	—	4	8	no	—
1333	C₂²	—	4	4	no	—
1334	C₂²	—	8	16	no	—
1335	C₂²	—	94	2	no	—
1336	C₂²	—	94	2	no	—
1337	C₂²	—	94	2	no	—
1338	C₂²	—	94	2	no	—
1339	C₂²	—	94	2	no	—
1340	C₂²	—	94	2	no	—
1341	C₂²	—	94	2	no	—
1342	C₂²	—	94	2	no	—
1343	C₂²	—	94	2	no	—
1344	C₂²	—	188	16	no	—
1345	C₂²	—	188	4	no	—
1346	C₂²	—	188	4	no	—
1347	C₂²	—	188	4	no	—
1348	C₂²	C₂×#13094069	1	2	yes	—
1349	C₂²	#15689958	1	2	yes	—
1350	C₂²	#15689959	1	2	yes	—
1351	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	4	no	—
1355	C₄	—	2	2	no	—
1356	C₄	—	2	4	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	94	2	no	—
1359	C₄	—	94	2	no	—
1360	C₄	—	94	2	no	—
1361	C₄	—	94	4	no	—
1362	C₄	—	94	4	no	—
1363	C₄	—	94	2	no	—
1364	C₄	—	94	2	no	—
1365	C₄	—	94	4	no	—
1366	C₄	—	94	4	no	—
1367	C₄	C₂×#13094069	1	4	yes	—
1368	C₂	—	4	2	no	—
1369	C₂	—	4	4	no	—
1370	C₂	—	4	4	no	—
1371	C₂	—	4	2	no	—
1372	C₂	—	188	2	no	—
1373	C₂	—	188	2	no	—
1374	C₂	—	188	2	no	—
1375	C₂	#20257652	1	4	yes	direct product factor
1376	C₂	C₂²×#13094069	1	1	yes	characteristic
1377	C₂	C₂×#15689958	1	1	yes	characteristic
1378	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×#3540
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. #20257652	C₂	direct (N × H)
2. C₂×#15689866	C₂	semidirect
3. C₂×#15689861	C₂	semidirect
4. C₂×#15689857	C₂	semidirect
5. C₂×#15689844	C₂	semidirect
6. C₂×#15689843	C₂	semidirect
7. C₂×#15689838	C₂	semidirect
8. C₂×#15689837	C₂	semidirect
9. C₂×#15689799	C₂	semidirect
10. C₂×#15689781	C₂	semidirect
11. C₂×#15689780	C₂	semidirect
12. C₂×#15689767	C₂	semidirect
13. C₂×#15689742	C₂	semidirect
14. C₂×#15689741	C₂	semidirect
15. C₂×#15689740	C₂	semidirect
16. C₂×#15689738	C₂	semidirect
17. C₂×#15689711	C₂	semidirect
18. C₂×#15689708	C₂	semidirect
19. C₂×#15689696	C₂	semidirect
20. C₂×#15689690	C₂	semidirect
21. C₂×#15689633	C₂	semidirect
22. C₂×#15689632	C₂	semidirect
23. C₂×#15689630	C₂	semidirect
24. C₂×C₄₇×#546	C₂	semidirect
27. C₂²×Q₈×D₄₇	C₂²	semidirect
28. C₂³×C₄×D₄₇	C₂²	semidirect
29. #15689866	C₂²	semidirect
30. #15689861	C₂²	semidirect
31. #15689857	C₂²	semidirect
32. #15689844	C₂²	semidirect
33. #15689843	C₂²	semidirect
34. #15689838	C₂²	semidirect
35. #15689837	C₂²	semidirect
36. #15689799	C₂²	semidirect
37. #15689781	C₂²	semidirect
38. #15689780	C₂²	semidirect
39. #15689767	C₂²	semidirect
40. #15689742	C₂²	semidirect
41. #15689741	C₂²	semidirect
42. #15689740	C₂²	semidirect
43. #15689738	C₂²	semidirect
44. #15689711	C₂²	semidirect
45. #15689708	C₂²	semidirect
46. #15689696	C₂²	semidirect
47. #15689690	C₂²	semidirect
48. C₂×#13094024	C₂²	semidirect
49. C₂×#13094023	C₂²	semidirect
50. C₂×#13094023	C₂²	semidirect
52. C₂×#13094019	C₂²	semidirect
53. C₂×#13094017	C₂²	semidirect
54. C₂×#13094017	C₂²	semidirect
55. C₂×#13094017	C₂²	semidirect
56. C₂×#13094017	C₂²	semidirect
57. C₂×#13094017	C₂²	semidirect
59. C₂×#13094011	C₂²	semidirect
60. C₂×#13094011	C₂²	semidirect
61. C₂×#13094011	C₂²	semidirect
62. C₂×#13094011	C₂²	semidirect
65. C₂×#13094010	C₂²	semidirect
66. C₂×#13094010	C₂²	semidirect
67. C₂×#13094010	C₂²	semidirect
68. C₂×#13094010	C₂²	semidirect
69. C₂×#13094010	C₂²	semidirect
70. C₂×#13094010	C₂²	semidirect
71. #15689633	C₂²	semidirect
72. #15689632	C₂²	semidirect
73. #15689630	C₂²	semidirect
74. C₂×#13094009	C₂²	semidirect
75. C₂×#13094009	C₂²	semidirect
76. C₂×#13094008	C₂²	semidirect
77. C₂×#13094007	C₂²	semidirect
79. C₂×#13094006	C₂²	semidirect
80. C₂×#13094006	C₂²	semidirect
81. C₂×#13094005	C₂²	semidirect
82. C₂×#13094005	C₂²	semidirect
83. C₂×#13094004	C₂²	semidirect
84. C₂×#13094003	C₂²	semidirect
85. C₂×#13094003	C₂²	semidirect
86. C₂×#13094003	C₂²	semidirect
87. C₂×#13094003	C₂²	semidirect
88. C₂×#13094002	C₂²	semidirect
89. C₂×#13094001	C₂²	semidirect
90. C₂×#13094001	C₂²	semidirect
91. C₂×#13094001	C₂²	semidirect
92. C₂×#13094000	C₂²	semidirect
93. C₂×#13094000	C₂²	semidirect
94. C₂×#13093998	C₂²	semidirect
96. C₂×#13093997	C₂²	semidirect
99. C₂×#13093996	C₂²	semidirect
103. C₂×#13093995	C₂²	semidirect
104. C₂×#13093995	C₂²	semidirect
105. C₂×#13093995	C₂²	semidirect
106. C₂×#13093994	C₂²	semidirect
109. C₂×#13093993	C₂²	semidirect
111. C₂×#13093992	C₂²	semidirect
112. C₂×#13093992	C₂²	semidirect
113. C₂×Q₈×Dic₄₇	C₂²	semidirect
114. C₂×C₄×Dic₉₄	C₂²	semidirect
115. C₂×#13093989	C₂²	semidirect
116. C₂×#13093989	C₂²	semidirect
117. C₂×C₄×D₁₈₈	C₂²	semidirect
118. C₂×D₄×Dic₄₇	C₂²	semidirect
119. C₂×D₄×Dic₄₇	C₂²	semidirect
121. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
122. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
123. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
125. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
126. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
127. C₂×#13093983	C₂²	semidirect
128. C₂×#13093983	C₂²	semidirect
129. C₂×#13093983	C₂²	semidirect
130. C₂×#13093982	C₂²	semidirect
131. C₂×#13093982	C₂²	semidirect
132. C₂×#13093981	C₂²	semidirect
133. C₂×#13093980	C₂²	semidirect
134. C₂²×C₂²⋊Dic₄₇	C₂²	semidirect
136. C₂³×D₄×C₄₇	C₂²	semidirect
137. C₄₇×#546	C₂²	semidirect
138. C₂×#124×C₄₇	C₂²	semidirect
139. C₂×#123×C₄₇	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
145. C₂×C₄×D₄×C₄₇	C₂²	semidirect
146. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
158. C₂×Q₈×D₄₇	C₂³	semidirect
181. C₂²×C₄×D₄₇	C₂³	semidirect
182. #13094024	C₂³	semidirect
183. #13094023	C₂³	semidirect
184. #13094023	C₂³	semidirect
186. #13094019	C₂³	semidirect
187. #13094017	C₂³	semidirect
188. #13094017	C₂³	semidirect
189. #13094017	C₂³	semidirect
190. #13094017	C₂³	semidirect
191. #13094017	C₂³	semidirect
193. #13094011	C₂³	semidirect
194. #13094011	C₂³	semidirect
195. #13094011	C₂³	semidirect
196. #13094011	C₂³	semidirect
199. #13094010	C₂³	semidirect
200. #13094010	C₂³	semidirect
201. #13094010	C₂³	semidirect
202. #13094010	C₂³	semidirect
203. #13094010	C₂³	semidirect
204. #13094010	C₂³	semidirect
205. #13094009	C₂³	semidirect
206. #13094009	C₂³	semidirect
207. #13094008	C₂³	semidirect
208. #13094007	C₂³	semidirect
210. #13094006	C₂³	semidirect
211. #13094006	C₂³	semidirect
212. #13094005	C₂³	semidirect
213. #13094005	C₂³	semidirect
214. #13094004	C₂³	semidirect
215. #13094003	C₂³	semidirect
216. #13094003	C₂³	semidirect
217. #13094003	C₂³	semidirect
218. #13094003	C₂³	semidirect
219. #13094002	C₂³	semidirect
220. #13094001	C₂³	semidirect
221. #13094001	C₂³	semidirect
222. #13094001	C₂³	semidirect
223. #13094000	C₂³	semidirect
224. #13094000	C₂³	semidirect
225. #13093998	C₂³	semidirect
227. #13093997	C₂³	semidirect
230. #13093996	C₂³	semidirect
234. #13093995	C₂³	semidirect
235. #13093995	C₂³	semidirect
236. #13093995	C₂³	semidirect
237. #13093994	C₂³	semidirect
240. #13093993	C₂³	semidirect
242. #13093992	C₂³	semidirect
243. #13093992	C₂³	semidirect
244. Q₈×Dic₄₇	C₂³	semidirect
245. C₄×Dic₉₄	C₂³	semidirect
246. #13093989	C₂³	semidirect
247. #13093989	C₂³	semidirect
248. C₄×D₁₈₈	C₂³	semidirect
249. D₄×Dic₄₇	C₂³	semidirect
250. D₄×Dic₄₇	C₂³	semidirect
252. C₄×C₂²⋊D₄₇	C₂³	semidirect
253. C₄×C₂²⋊D₄₇	C₂³	semidirect
254. C₄×C₂²⋊D₄₇	C₂³	semidirect
255. C₄×C₂²⋊D₄₇	C₂³	semidirect
256. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
257. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
258. #13093983	C₂³	semidirect
259. #13093983	C₂³	semidirect
260. #13093983	C₂³	semidirect
261. #13093982	C₂³	semidirect
262. #13093982	C₂³	semidirect
263. #13093981	C₂³	semidirect
264. #13093980	C₂³	semidirect
296. C₂×C₂²⋊Dic₄₇	C₂³	semidirect
326. C₂²×D₄×C₄₇	C₂³	semidirect
331. #124×C₄₇	C₂³	semidirect
332. #123×C₄₇	C₂³	semidirect
333. C₂²⋊Q₈×C₄₇	C₂³	semidirect
338. C₄×D₄×C₄₇	C₂³	semidirect
349. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
691. C₂×#546	D₄₇	semidirect
707. C₂×C₄₇	#3540	semidirect
718. C₂³×D₄	C₂×D₄₇	semidirect
731. #546	C₂×D₄₇	semidirect
763. C₂×#124	C₂×D₄₇	semidirect
776. C₂×#123	C₂×D₄₇	semidirect
788. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
826. C₂×C₄×D₄	C₂×D₄₇	semidirect
835. C₂²×C₂²⋊C₄	C₂×D₄₇	semidirect
836. C₄₇	C₂×#3540	semidirect
872. C₂²×D₄	C₂²×D₄₇	semidirect
911. #124	C₂²×D₄₇	semidirect
921. #123	C₂²×D₄₇	semidirect
933. C₂²⋊Q₈	C₂²×D₄₇	semidirect
971. C₄×D₄	C₂²×D₄₇	semidirect
1032. C₂×C₂²⋊C₄	C₂²×D₄₇	semidirect
1375. C₂	#20257652	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257652	2
C₂×#15689866	2
C₂×#15689861	2
C₂×#15689857	2
C₂×#15689844	2
C₂×#15689843	2
C₂×#15689838	2
C₂×#15689837	2
C₂×#15689799	2
C₂×#15689781	2
C₂×#15689780	2
C₂×#15689767	2
C₂×#15689742	2
C₂×#15689741	2
C₂×#15689740	2
C₂×#15689738	2
C₂×#15689711	2
C₂×#15689708	2
C₂×#15689696	2
C₂×#15689690	2
C₂×#15689633	2
C₂×#15689632	2
C₂×#15689630	2
C₂×C₄₇×#546	2
C₂×#3540	47

Subgroups — C2×#20257652 #27123565

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257652 #27123565