Subgroups — C₂×#20257619 #27123509

Order 12032.

8890 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257619	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689862	C₂	1	2	yes	maximal, complemented
3	C₂×#15689861	C₂	1	2	yes	maximal, complemented
4	C₂×#15689825	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689823	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689820	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689819	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15689758	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×D₄×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×D₄×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×D₄×C₂²⋊D₄₇	C₂	1	2	yes	maximal, complemented
12	C₂×#15689755	C₂	1	2	yes	maximal, complemented
13	C₂×#15689727	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15689724	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689708	C₂	1	2	yes	maximal, complemented
16	C₂×#15689705	C₂	1	2	yes	maximal, complemented
17	C₂×#15689690	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689689	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#15689683	C₂	1	2	yes	maximal, complemented
20	C₂×#15689682	C₂	1	2	yes	maximal, complemented
21	C₂×#15689632	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#13093995	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#121×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₄²×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
26	C₂³×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
27	C₂³×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
28	C₂³×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₄₇	C₂²	1	2	yes	complemented
30	C₂²×D₄×D₄₇	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
32	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
34	#15689862	C₂²	1	32	yes	complemented
35	#15689861	C₂²	1	32	yes	complemented
36	#15689825	C₂²	1	16	yes	complemented
37	#15689823	C₂²	1	16	yes	complemented
38	#15689820	C₂²	1	16	yes	complemented
39	#15689819	C₂²	1	16	yes	complemented
40	#15689758	C₂²	1	16	yes	complemented
41	D₄×C₂²⋊D₄₇	C₂²	1	16	yes	complemented
42	D₄×C₂²⋊D₄₇	C₂²	1	32	yes	complemented
43	D₄×C₂²⋊D₄₇	C₂²	1	16	yes	complemented
44	#15689755	C₂²	1	32	yes	complemented
45	#15689727	C₂²	1	16	yes	complemented
46	#15689724	C₂²	1	16	yes	complemented
47	#15689708	C₂²	1	32	yes	complemented
48	#15689705	C₂²	1	32	yes	complemented
49	#15689690	C₂²	1	16	yes	complemented
50	#15689689	C₂²	1	16	yes	complemented
51	#15689683	C₂²	1	32	yes	complemented
52	#15689682	C₂²	1	32	yes	complemented
53	C₂×#13094020	C₂²	1	2	yes	complemented
54	C₂×#13094020	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13094020	C₂²	1	2	yes	complemented
56	C₂×#13094019	C₂²	1	2	yes	complemented
57	C₂×#13094017	C₂²	1	2	yes	complemented
58	C₂×#13094017	C₂²	1	2	yes	complemented
59	C₂×#13094017	C₂²	1	2	yes	complemented
60	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13094015	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13094011	C₂²	1	2	yes	complemented
63	C₂×#13094010	C₂²	1	2	yes	complemented
64	#15689632	C₂²	1	16	yes	complemented
65	C₂×#13094009	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13094008	C₂²	1	2	yes	complemented
67	C₂×#13094007	C₂²	1	2	yes	complemented
68	C₂×#13094007	C₂²	1	2	yes	complemented
69	C₂×#13094006	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13094006	C₂²	1	2	yes	complemented
71	C₂×#13094006	C₂²	1	2	yes	complemented
72	C₂×#13094005	C₂²	1	2	yes	complemented
73	C₂×#13094005	C₂²	1	2	yes	complemented
74	C₂×#13094005	C₂²	1	2	yes	complemented
75	C₂×#13094002	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13094001	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13093999	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13093998	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13093998	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13093998	C₂²	1	2	yes	complemented
81	C₂×#13093997	C₂²	1	2	yes	complemented
82	C₂×#13093997	C₂²	1	2	yes	complemented
83	C₂×#13093997	C₂²	1	2	yes	complemented
84	C₂×#13093997	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13093996	C₂²	1	2	yes	complemented
86	C₂×#13093996	C₂²	1	2	yes	complemented
87	C₂×#13093996	C₂²	1	2	yes	complemented
88	C₂×#13093996	C₂²	1	2	yes	complemented
89	C₂×#13093996	C₂²	1	2	yes	complemented
90	C₂×#13093996	C₂²	1	2	yes	complemented
91	C₂×#13093996	C₂²	1	2	yes	complemented
92	C₂×#13093996	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13093995	C₂²	1	2	yes	complemented
95	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13093995	C₂²	1	2	yes	complemented
99	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13093995	C₂²	1	2	yes	complemented
101	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13093995	C₂²	1	2	yes	complemented
104	C₂×#13093995	C₂²	1	16	yes	complemented
105	#121×D₄₇	C₂²	1	16	yes	complemented
106	C₂×#13093994	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13093994	C₂²	1	2	yes	complemented
108	C₂×#13093993	C₂²	1	2	yes	complemented
109	C₂×#13093993	C₂²	1	2	yes	complemented
110	C₂×#13093993	C₂²	1	2	yes	complemented
111	C₂×#13093993	C₂²	1	2	yes	complemented
112	C₂×#13093992	C₂²	1	2	yes	complemented
113	C₂×#13093992	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13093992	C₂²	1	2	yes	complemented
115	C₂×#13093992	C₂²	1	2	yes	complemented
116	C₂×#13093992	C₂²	1	2	yes	complemented
117	C₂×#13093992	C₂²	1	2	yes	complemented
118	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
120	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
121	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
122	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
126	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
127	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
128	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13093982	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13093981	C₂²	1	1	yes	characteristic, complemented
131	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
133	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
135	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
136	C₂³×D₄×C₄₇	C₂²	1	2	yes	complemented
137	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
138	D₄²×C₄₇	C₂²	1	16	yes	complemented
139	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic, complemented
140	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic, complemented
142	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
143	C₂×#120×C₄₇	C₂²	1	2	yes	complemented
144	C₂×#120×C₄₇	C₂²	1	2	yes	complemented
145	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
148	C₂⁴×D₄₇	C₂³	1	2	yes	—
149	C₂⁴×D₄₇	C₂³	1	2	yes	—
150	C₂×#10625350	—	4	4	no	—
151	C₂×#10625350	C₂³	1	8	yes	complemented
152	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
153	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
154	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
155	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
156	C₂²×D₁₈₈	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₄₇	—	4	8	no	—
158	C₂²×C₂²⋊D₄₇	—	4	8	no	—
159	C₂²×C₂²⋊D₄₇	—	4	8	no	—
160	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
165	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
167	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
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	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
178	C₂²×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
179	C₂²×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
180	C₂×D₄×D₄₇	—	4	4	no	—
181	C₂×D₄×D₄₇	—	4	4	no	—
182	C₂×D₄×D₄₇	—	4	8	no	—
183	C₂×D₄×D₄₇	—	4	8	no	—
184	C₂×D₄×D₄₇	C₂³	1	16	yes	complemented
185	C₂×D₄×D₄₇	C₂³	1	16	yes	complemented
186	C₂×D₄×D₄₇	C₂³	1	8	yes	complemented
187	C₂×D₄×D₄₇	C₂³	1	8	yes	complemented
188	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
189	C₂³×Dic₄₇	C₂³	1	2	yes	—
190	C₂³×Dic₄₇	C₂³	1	2	yes	—
191	C₂³×Dic₄₇	C₂³	1	2	yes	—
192	C₂²×C₄×D₄₇	—	4	4	no	—
193	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
198	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
199	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₇	C₂³	1	8	yes	complemented
201	#13094020	C₂³	1	16	yes	complemented
202	#13094020	C₂³	1	8	yes	complemented
203	#13094020	C₂³	1	16	yes	complemented
204	#13094019	C₂³	1	16	yes	complemented
205	#13094017	C₂³	1	16	yes	complemented
206	#13094017	C₂³	1	16	yes	complemented
207	#13094017	C₂³	1	16	yes	complemented
208	#13094016	C₂³	1	8	yes	complemented
209	#13094015	C₂³	1	8	yes	complemented
210	#13094011	C₂³	1	16	yes	complemented
211	#13094010	C₂³	1	16	yes	complemented
212	#13094009	C₂³	1	8	yes	complemented
213	#13094008	C₂³	1	16	yes	complemented
214	#13094007	C₂³	1	16	yes	complemented
215	#13094007	C₂³	1	16	yes	complemented
216	#13094006	C₂³	1	16	yes	complemented
217	#13094006	C₂³	1	8	yes	complemented
218	#13094006	C₂³	1	16	yes	complemented
219	#13094005	C₂³	1	16	yes	complemented
220	#13094005	C₂³	1	16	yes	complemented
221	#13094005	C₂³	1	16	yes	complemented
222	#13094002	C₂³	1	8	yes	complemented
223	#13094001	C₂³	1	8	yes	complemented
224	#13093999	C₂³	1	8	yes	complemented
225	#13093998	C₂³	1	8	yes	complemented
226	#13093998	C₂³	1	8	yes	complemented
227	#13093998	C₂³	1	16	yes	complemented
228	#13093997	C₂³	1	16	yes	complemented
229	#13093997	C₂³	1	16	yes	complemented
230	#13093997	C₂³	1	16	yes	complemented
231	#13093997	C₂³	1	8	yes	complemented
232	#13093996	C₂³	1	16	yes	complemented
233	#13093996	C₂³	1	16	yes	complemented
234	#13093996	C₂³	1	16	yes	complemented
235	#13093996	C₂³	1	16	yes	complemented
236	#13093996	C₂³	1	16	yes	complemented
237	#13093996	C₂³	1	16	yes	complemented
238	#13093996	C₂³	1	16	yes	complemented
239	#13093996	C₂³	1	8	yes	complemented
240	#13093995	C₂³	1	16	yes	complemented
241	#13093995	C₂³	1	8	yes	complemented
242	#13093995	C₂³	1	8	yes	complemented
243	#13093995	C₂³	1	8	yes	complemented
244	#13093995	C₂³	1	8	yes	complemented
245	#13093995	C₂³	1	16	yes	complemented
246	#13093995	C₂³	1	16	yes	complemented
247	#13093995	C₂³	1	8	yes	complemented
248	#13093995	C₂³	1	16	yes	complemented
249	#13093995	C₂³	1	8	yes	complemented
250	#13093995	C₂³	1	8	yes	complemented
251	#13093994	C₂³	1	8	yes	complemented
252	#13093994	C₂³	1	16	yes	complemented
253	#13093993	C₂³	1	16	yes	complemented
254	#13093993	C₂³	1	16	yes	complemented
255	#13093993	C₂³	1	16	yes	complemented
256	#13093993	C₂³	1	16	yes	complemented
257	#13093992	C₂³	1	16	yes	complemented
258	#13093992	C₂³	1	8	yes	complemented
259	#13093992	C₂³	1	16	yes	complemented
260	#13093992	C₂³	1	16	yes	complemented
261	#13093992	C₂³	1	16	yes	complemented
262	#13093992	C₂³	1	16	yes	complemented
263	C₄×D₁₈₈	C₂³	1	8	yes	complemented
264	C₄×D₁₈₈	C₂³	1	8	yes	complemented
265	D₄×Dic₄₇	C₂³	1	8	yes	complemented
266	D₄×Dic₄₇	C₂³	1	16	yes	complemented
267	D₄×Dic₄₇	C₂³	1	8	yes	complemented
268	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
269	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
270	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
271	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
272	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
273	#13093983	C₂³	1	8	yes	complemented
274	#13093982	C₂³	1	8	yes	complemented
275	#13093981	C₂³	1	8	yes	complemented
276	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
280	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
281	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₄₇	C₂³	1	8	yes	complemented
283	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
284	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
287	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
288	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
291	C₄⋊C₄×D₄₇	C₂³	1	8	yes	complemented
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	2	yes	—
297	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
298	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
300	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
302	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
303	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
304	C₂×C₂²⋊Dic₄₇	C₂³	1	16	yes	complemented
305	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
310	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
312	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
315	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
316	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
317	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
319	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
320	C₂⁵×C₄₇	C₂³	1	2	yes	—
321	C₂⁵×C₄₇	C₂³	1	2	yes	—
322	C₂²×D₄×C₄₇	—	4	4	no	—
323	C₂²×D₄×C₄₇	—	4	4	no	—
324	C₂²×D₄×C₄₇	—	4	8	no	—
325	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
328	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
331	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
332	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
333	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
334	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
335	C₂²×D₄×C₄₇	C₂³	1	8	yes	complemented
336	C₂²×D₄×C₄₇	C₂³	1	16	yes	complemented
337	C₂²×D₄×C₄₇	C₂³	1	8	yes	complemented
338	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
341	#127×C₄₇	C₂³	1	8	yes	complemented
342	#121×C₄₇	C₂³	1	8	yes	complemented
343	#121×C₄₇	C₂³	1	8	yes	complemented
344	#121×C₄₇	C₂³	1	16	yes	complemented
345	#120×C₄₇	C₂³	1	16	yes	complemented
346	#120×C₄₇	C₂³	1	16	yes	complemented
347	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
348	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
349	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
353	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
355	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
356	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
357	C₂⁴×C₄₇	—	2	8	no	—
358	C₂⁴×C₄₇	—	4	4	no	—
359	C₂⁴×C₄₇	—	4	4	no	—
360	C₂⁴×C₄₇	—	4	4	no	—
361	C₂⁴×C₄₇	—	4	4	no	—
362	C₂⁴×C₄₇	—	4	4	no	—
363	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
365	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
366	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
367	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₄₇	C₂⁴	1	8	yes	—
369	C₂⁴×C₄₇	C₂⁴	1	8	yes	—
370	C₂³×D₄₇	—	2	4	no	—
371	C₂³×D₄₇	—	2	4	no	—
372	C₂³×D₄₇	—	2	8	no	—
373	C₂³×D₄₇	—	4	2	no	—
374	C₂³×D₄₇	—	4	4	no	—
375	C₂³×D₄₇	—	4	4	no	—
376	C₂³×D₄₇	—	4	4	no	—
377	C₂³×D₄₇	—	4	4	no	—
378	C₂³×D₄₇	—	4	4	no	—
379	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
380	C₂³×D₄₇	C₂⁴	1	2	yes	—
381	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
382	C₂³×D₄₇	C₂⁴	1	4	yes	—
383	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
384	C₂³×D₄₇	C₂⁴	1	8	yes	—
385	C₂³×D₄₇	C₂⁴	1	8	yes	—
386	C₂×D₄×C₄₇	—	2	4	no	—
387	C₂×D₄×C₄₇	—	2	8	no	—
388	C₂×D₄×C₄₇	—	2	4	no	—
389	C₂×D₄×C₄₇	—	2	4	no	—
390	C₂×D₄×C₄₇	—	2	4	no	—
391	C₂×D₄×C₄₇	—	4	16	no	—
392	C₂×D₄×C₄₇	—	4	16	no	—
393	C₂×D₄×C₄₇	—	4	4	no	—
394	C₂×D₄×C₄₇	—	4	4	no	—
395	C₂×D₄×C₄₇	—	4	4	no	—
396	C₂×D₄×C₄₇	—	4	4	no	—
397	C₂×D₄×C₄₇	—	4	4	no	—
398	C₂×D₄×C₄₇	—	4	32	no	—
399	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
400	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
401	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
402	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
403	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
404	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
405	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
406	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
407	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
408	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
409	C₂²×C₄×C₄₇	—	2	4	no	—
410	C₂²×C₄×C₄₇	—	2	4	no	—
411	C₂²×C₄×C₄₇	—	4	4	no	—
412	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
418	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
419	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
420	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
421	C₂×C₂²⋊D₄₇	—	2	8	no	—
422	C₂×C₂²⋊D₄₇	—	2	4	no	—
423	C₂×C₂²⋊D₄₇	—	2	8	no	—
424	C₂×C₂²⋊D₄₇	—	2	8	no	—
425	C₂×C₂²⋊D₄₇	—	2	4	no	—
426	C₂×C₂²⋊D₄₇	—	4	4	no	—
427	C₂×C₂²⋊D₄₇	—	4	4	no	—
428	C₂×C₂²⋊D₄₇	—	4	4	no	—
429	C₂×C₂²⋊D₄₇	—	4	4	no	—
430	C₂×C₂²⋊D₄₇	—	4	4	no	—
431	C₂×C₂²⋊D₄₇	—	4	4	no	—
432	C₂×C₂²⋊D₄₇	—	4	4	no	—
433	C₂×C₂²⋊D₄₇	—	4	4	no	—
434	C₂×C₂²⋊D₄₇	—	4	4	no	—
435	C₂×C₂²⋊D₄₇	—	4	4	no	—
436	C₂×C₂²⋊D₄₇	—	4	2	no	—
437	C₂×C₂²⋊D₄₇	—	4	2	no	—
438	C₂×C₂²⋊D₄₇	—	4	32	no	—
439	C₂×C₂²⋊D₄₇	—	4	32	no	—
440	C₂×C₂²⋊D₄₇	—	4	32	no	—
441	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
442	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
443	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
444	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
445	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
446	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
447	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
448	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
449	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
450	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
451	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
452	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
453	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
454	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
455	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
456	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
457	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
458	C₂²×Dic₄₇	—	4	2	no	—
459	C₂²×Dic₄₇	—	4	4	no	—
460	C₂²×Dic₄₇	—	4	4	no	—
461	C₂²×Dic₄₇	—	4	4	no	—
462	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
466	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
467	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
468	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
469	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
470	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
471	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
472	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
473	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
474	D₄×D₄₇	—	4	16	no	—
475	D₄×D₄₇	—	4	16	no	—
476	D₄×D₄₇	—	4	32	no	—
477	D₄×D₄₇	—	4	32	no	—
478	#10625350	—	4	16	no	—
479	C₂×D₁₈₈	—	2	4	no	—
480	C₂×D₁₈₈	—	2	4	no	—
481	C₂×D₁₈₈	—	4	4	no	—
482	C₂×D₁₈₈	—	4	2	no	—
483	C₂×D₁₈₈	C₂⁴	1	4	yes	—
484	C₂×D₁₈₈	C₂⁴	1	4	yes	—
485	C₂×D₁₈₈	C₂⁴	1	4	yes	—
486	C₂×D₁₈₈	C₂⁴	1	8	yes	—
487	C₂×C₄×D₄₇	—	2	4	no	—
488	C₂×C₄×D₄₇	—	2	4	no	—
489	C₂×C₄×D₄₇	—	2	4	no	—
490	C₂×C₄×D₄₇	—	4	16	no	—
491	C₂×C₄×D₄₇	—	4	2	no	—
492	C₂×C₄×D₄₇	—	4	2	no	—
493	C₂×C₄×D₄₇	—	4	4	no	—
494	C₂×C₄×D₄₇	—	4	4	no	—
495	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
496	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
497	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
498	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
499	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
500	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
501	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
502	C₂×Dic₉₄	—	4	2	no	—
503	C₂×Dic₉₄	C₂⁴	1	4	yes	—
504	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
505	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
506	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
507	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
508	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
509	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
510	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
511	C₄²×C₄₇	C₂⁴	1	4	yes	—
512	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
513	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
514	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
515	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
516	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
517	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
518	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
519	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
520	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
521	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
522	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
523	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
524	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
525	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
526	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
527	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
528	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
529	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
530	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
531	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
532	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
533	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
534	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
535	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
536	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
537	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
538	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
539	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
540	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
541	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
542	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
543	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
544	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
545	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
546	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
547	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
548	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
549	C₄×Dic₄₇	C₂⁴	1	4	yes	—
550	C₄×Dic₄₇	C₂⁴	1	8	yes	—
551	C₄×Dic₄₇	C₂⁴	1	8	yes	—
552	C₂³×C₄₇	—	2	2	no	—
553	C₂³×C₄₇	—	2	2	no	—
554	C₂³×C₄₇	—	2	4	no	—
555	C₂³×C₄₇	—	2	4	no	—
556	C₂³×C₄₇	—	2	2	no	—
557	C₂³×C₄₇	—	2	4	no	—
558	C₂³×C₄₇	—	2	4	no	—
559	C₂³×C₄₇	—	2	2	no	—
560	C₂³×C₄₇	—	2	4	no	—
561	C₂³×C₄₇	—	2	4	no	—
562	C₂³×C₄₇	—	2	4	no	—
563	C₂³×C₄₇	—	2	4	no	—
564	C₂³×C₄₇	—	2	2	no	—
565	C₂³×C₄₇	—	2	4	no	—
566	C₂³×C₄₇	—	2	16	no	—
567	C₂³×C₄₇	—	4	8	no	—
568	C₂³×C₄₇	—	4	8	no	—
569	C₂³×C₄₇	—	4	8	no	—
570	C₂³×C₄₇	—	4	8	no	—
571	C₂³×C₄₇	—	4	8	no	—
572	C₂³×C₄₇	—	8	16	no	—
573	C₂³×C₄₇	—	8	16	no	—
574	C₂³×C₄₇	H(5,𝔽₂)	1	4	yes	—
575	C₂³×C₄₇	C₂⁵	1	4	yes	—
576	C₂³×C₄₇	C₂⁵	1	4	yes	—
577	C₂³×C₄₇	C₂⁵	1	2	yes	—
578	C₂³×C₄₇	C₂⁵	1	4	yes	—
579	C₂³×C₄₇	C₂⁵	1	2	yes	—
580	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
581	C₂²×D₄₇	—	2	2	no	—
582	C₂²×D₄₇	—	2	2	no	—
583	C₂²×D₄₇	—	2	2	no	—
584	C₂²×D₄₇	—	2	2	no	—
585	C₂²×D₄₇	—	2	4	no	—
586	C₂²×D₄₇	—	2	2	no	—
587	C₂²×D₄₇	—	2	4	no	—
588	C₂²×D₄₇	—	2	2	no	—
589	C₂²×D₄₇	—	2	4	no	—
590	C₂²×D₄₇	—	2	8	no	—
591	C₂²×D₄₇	—	2	2	no	—
592	C₂²×D₄₇	—	2	2	no	—
593	C₂²×D₄₇	—	2	8	no	—
594	C₂²×D₄₇	—	2	16	no	—
595	C₂²×D₄₇	—	4	4	no	—
596	C₂²×D₄₇	—	4	8	no	—
597	C₂²×D₄₇	—	4	8	no	—
598	C₂²×D₄₇	—	4	8	no	—
599	C₂²×D₄₇	—	4	8	no	—
600	C₂²×D₄₇	—	4	8	no	—
601	C₂²×D₄₇	—	4	16	no	—
602	C₂²×D₄₇	—	8	16	no	—
603	C₂²×D₄₇	—	8	16	no	—
604	C₂²×D₄₇	H(5,𝔽₂)	1	4	yes	—
605	C₂²×D₄₇	C₂⁵	1	2	yes	—
606	C₂²×D₄₇	C₂⁵	1	4	yes	—
607	C₂²×D₄₇	C₂⁵	1	2	yes	—
608	C₂²×D₄₇	C₂⁵	1	2	yes	—
609	D₄×C₄₇	—	2	16	no	—
610	D₄×C₄₇	—	2	8	no	—
611	D₄×C₄₇	—	2	8	no	—
612	D₄×C₄₇	—	2	8	no	—
613	D₄×C₄₇	—	2	8	no	—
614	D₄×C₄₇	—	4	8	no	—
615	D₄×C₄₇	—	4	8	no	—
616	D₄×C₄₇	—	4	8	no	—
617	D₄×C₄₇	—	4	8	no	—
618	D₄×C₄₇	—	4	8	no	—
619	C₂×C₄×C₄₇	—	2	2	no	—
620	C₂×C₄×C₄₇	—	2	2	no	—
621	C₂×C₄×C₄₇	—	2	2	no	—
622	C₂×C₄×C₄₇	—	2	4	no	—
623	C₂×C₄×C₄₇	—	2	2	no	—
624	C₂×C₄×C₄₇	—	2	8	no	—
625	C₂×C₄×C₄₇	—	2	8	no	—
626	C₂×C₄×C₄₇	—	4	8	no	—
627	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
628	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
629	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
630	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
631	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
632	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
633	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
634	C₂²⋊D₄₇	—	2	16	no	—
635	C₂²⋊D₄₇	—	2	8	no	—
636	C₂²⋊D₄₇	—	2	16	no	—
637	C₂²⋊D₄₇	—	2	16	no	—
638	C₂²⋊D₄₇	—	2	8	no	—
639	C₂²⋊D₄₇	—	4	4	no	—
640	C₂²⋊D₄₇	—	4	4	no	—
641	C₂²⋊D₄₇	—	4	8	no	—
642	C₂²⋊D₄₇	—	4	8	no	—
643	C₂²⋊D₄₇	—	4	8	no	—
644	C₂²⋊D₄₇	—	4	8	no	—
645	C₂²⋊D₄₇	—	4	8	no	—
646	C₂²⋊D₄₇	—	4	8	no	—
647	C₂²⋊D₄₇	—	4	8	no	—
648	C₂²⋊D₄₇	—	4	8	no	—
649	C₂²⋊D₄₇	—	4	8	no	—
650	C₂²⋊D₄₇	—	4	8	no	—
651	C₂×Dic₄₇	—	2	2	no	—
652	C₂×Dic₄₇	—	2	2	no	—
653	C₂×Dic₄₇	—	2	2	no	—
654	C₂×Dic₄₇	—	2	4	no	—
655	C₂×Dic₄₇	—	2	4	no	—
656	C₂×Dic₄₇	—	2	4	no	—
657	C₂×Dic₄₇	—	2	2	no	—
658	C₂×Dic₄₇	—	2	2	no	—
659	C₂×Dic₄₇	—	4	4	no	—
660	C₂×Dic₄₇	—	4	8	no	—
661	C₂×Dic₄₇	—	4	8	no	—
662	C₂×Dic₄₇	—	4	8	no	—
663	C₂×Dic₄₇	C₂⁵	1	2	yes	—
664	C₂×Dic₄₇	C₂⁵	1	2	yes	—
665	C₂×Dic₄₇	C₂⁵	1	4	yes	—
666	C₂×Dic₄₇	C₂⁵	1	2	yes	—
667	C₂×Dic₄₇	C₂⁵	1	4	yes	—
668	C₂×Dic₄₇	C₂⁵	1	4	yes	—
669	C₂×Dic₄₇	C₂⁵	1	2	yes	—
670	C₂×Dic₄₇	C₂⁵	1	2	yes	—
671	D₁₈₈	—	2	8	no	—
672	D₁₈₈	—	2	8	no	—
673	D₁₈₈	—	4	4	no	—
674	D₁₈₈	—	4	8	no	—
675	C₄×D₄₇	—	2	8	no	—
676	C₄×D₄₇	—	2	8	no	—
677	C₄×D₄₇	—	2	8	no	—
678	C₄×D₄₇	—	4	4	no	—
679	C₄×D₄₇	—	4	4	no	—
680	C₄×D₄₇	—	4	8	no	—
681	C₄×D₄₇	—	4	8	no	—
682	Dic₉₄	—	4	4	no	—
683	C₂×#3537	—	47	1	no	maximal, Sylow
684	C₂²×C₄₇	—	2	2	no	—
685	C₂²×C₄₇	—	2	2	no	—
686	C₂²×C₄₇	—	2	8	no	—
687	C₂²×C₄₇	—	2	4	no	—
688	C₂²×C₄₇	—	2	4	no	—
689	C₂²×C₄₇	—	2	2	no	—
690	C₂²×C₄₇	—	2	4	no	—
691	C₂²×C₄₇	—	2	4	no	—
692	C₂²×C₄₇	—	2	2	no	—
693	C₂²×C₄₇	—	2	4	no	—
694	C₂²×C₄₇	—	2	4	no	—
695	C₂²×C₄₇	—	2	4	no	—
696	C₂²×C₄₇	—	2	4	no	—
697	C₂²×C₄₇	—	2	2	no	—
698	C₂²×C₄₇	—	2	4	no	—
699	C₂²×C₄₇	—	4	8	no	—
700	C₂²×C₄₇	—	4	8	no	—
701	C₂²×C₄₇	—	4	4	no	—
702	C₂²×C₄₇	—	4	8	no	—
703	C₂²×C₄₇	—	8	16	no	—
704	C₂²×C₄₇	—	8	16	no	—
705	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
706	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
707	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
708	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
709	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
710	C₂×D₄₇	—	2	2	no	—
711	C₂×D₄₇	—	2	2	no	—
712	C₂×D₄₇	—	2	8	no	—
713	C₂×D₄₇	—	2	2	no	—
714	C₂×D₄₇	—	2	2	no	—
715	C₂×D₄₇	—	2	4	no	—
716	C₂×D₄₇	—	2	2	no	—
717	C₂×D₄₇	—	2	4	no	—
718	C₂×D₄₇	—	2	2	no	—
719	C₂×D₄₇	—	2	4	no	—
720	C₂×D₄₇	—	2	2	no	—
721	C₂×D₄₇	—	2	2	no	—
722	C₂×D₄₇	—	4	16	no	—
723	C₂×D₄₇	—	4	4	no	—
724	C₂×D₄₇	—	4	4	no	—
725	C₂×D₄₇	—	4	8	no	—
726	C₂×D₄₇	—	8	16	no	—
727	C₂×D₄₇	—	8	16	no	—
728	C₂×D₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
729	C₄×C₄₇	—	2	2	no	—
730	C₄×C₄₇	—	2	2	no	—
731	C₄×C₄₇	—	2	2	no	—
732	C₄×C₄₇	—	2	4	no	—
733	C₄×C₄₇	—	2	2	no	—
734	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
735	Dic₄₇	—	2	2	no	—
736	Dic₄₇	—	2	2	no	—
737	Dic₄₇	—	2	2	no	—
738	Dic₄₇	—	2	4	no	—
739	Dic₄₇	—	2	4	no	—
740	Dic₄₇	—	2	4	no	—
741	Dic₄₇	—	2	2	no	—
742	Dic₄₇	—	2	2	no	—
743	#3537	—	47	32	no	—
744	C₂×#560	—	47	2	no	—
745	C₂×#560	—	47	2	no	—
746	C₂×#553	—	47	1	no	—
747	C₂×#553	—	47	1	no	—
748	C₂×#553	—	47	1	no	—
749	C₂×#553	—	47	1	no	—
750	C₂×D₄²	—	47	2	no	—
751	C₂×D₄²	—	47	1	no	—
752	C₂×D₄²	—	47	1	no	—
753	C₂×D₄²	—	47	1	no	—
754	C₂×D₄²	—	47	2	no	—
755	C₂×D₄²	D₄₇	1	1	yes	characteristic, complemented
756	C₂×#540	—	47	1	no	—
757	C₂×#540	—	47	1	no	—
758	C₂×#538	—	47	2	no	—
759	C₂×#538	—	47	2	no	—
760	C₂×#535	—	47	1	no	—
761	C₂×#535	—	47	1	no	—
762	C₂×#534	—	47	2	no	—
763	C₂×#534	—	47	2	no	—
764	C₂×#525	—	47	1	no	—
765	C₂²×#121	—	47	1	no	—
766	C₂²×#121	—	47	1	no	—
767	C₂×C₄₇	—	2	4	no	—
768	C₂×C₄₇	—	4	4	no	—
769	C₂×C₄₇	—	4	4	no	—
770	C₂×C₄₇	—	4	2	no	—
771	C₂×C₄₇	—	4	4	no	—
772	C₂×C₄₇	#3537	1	4	yes	complemented
773	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
774	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
775	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
776	D₄₇	—	2	4	no	—
777	D₄₇	—	4	2	no	—
778	D₄₇	—	4	2	no	—
779	D₄₇	—	4	4	no	—
780	C₂²×#41	—	47	1	no	—
781	C₂³×D₄	—	47	2	no	—
782	C₂³×D₄	—	47	2	no	—
783	C₂³×D₄	—	47	2	no	—
784	C₂³×D₄	—	47	1	no	—
785	C₂³×D₄	—	47	2	no	—
786	C₂³×D₄	—	47	2	no	—
787	C₂³×D₄	—	47	1	no	—
788	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
789	C₂³×D₄	C₂×D₄₇	1	2	yes	complemented
790	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
791	C₂⁴×C₄	—	47	1	no	—
792	#560	—	47	32	no	—
793	#560	—	47	32	no	—
794	#553	—	47	16	no	—
795	#553	—	47	16	no	—
796	#553	—	47	16	no	—
797	#553	—	47	16	no	—
798	D₄²	—	47	32	no	—
799	D₄²	—	47	16	no	—
800	D₄²	—	47	16	no	—
801	D₄²	—	47	16	no	—
802	D₄²	—	47	32	no	—
803	D₄²	C₂×D₄₇	1	16	yes	complemented
804	#540	—	47	16	no	—
805	#540	—	47	16	no	—
806	#538	—	47	32	no	—
807	#538	—	47	32	no	—
808	#535	—	47	16	no	—
809	#535	—	47	16	no	—
810	#534	—	47	32	no	—
811	#534	—	47	32	no	—
812	C₂×#127	—	47	2	no	—
813	C₂×#127	—	47	2	no	—
814	C₂×#127	—	47	1	no	—
815	C₂×#127	C₂×D₄₇	1	1	yes	characteristic, complemented
816	C₂×#126	—	47	2	no	—
817	C₂×#126	—	47	2	no	—
818	C₂×#126	—	47	2	no	—
819	C₂×#126	—	47	2	no	—
820	C₂×#125	—	47	1	no	—
821	C₂×#125	—	47	1	no	—
822	C₂×#124	—	47	2	no	—
823	C₂×#124	—	47	2	no	—
824	#525	—	47	16	no	—
825	C₂×#123	—	47	2	no	—
826	C₂×#123	—	47	2	no	—
827	C₂×#123	—	47	2	no	—
828	C₂×#123	—	47	2	no	—
829	C₂×#123	—	47	2	no	—
830	C₂×#123	—	47	1	no	—
831	C₂×#123	—	47	1	no	—
832	C₂×#123	—	47	2	no	—
833	C₂×#123	—	47	2	no	—
834	C₂×#123	—	47	2	no	—
835	C₂×C₂²⋊Q₈	—	47	1	no	—
836	C₂×C₂²⋊Q₈	—	47	1	no	—
837	C₂×#121	—	47	2	no	—
838	C₂×#121	—	47	2	no	—
839	C₂×#121	—	47	1	no	—
840	C₂×#121	—	47	1	no	—
841	C₂×#121	—	47	1	no	—
842	C₂×#121	—	47	1	no	—
843	C₂×#121	—	47	1	no	—
844	C₂×#121	—	47	2	no	—
845	C₂×#121	—	47	1	no	—
846	C₂×#121	—	47	2	no	—
847	C₂×#121	—	47	2	no	—
848	C₂×#121	—	47	2	no	—
849	C₂×#121	—	47	1	no	—
850	C₂×#121	—	47	1	no	—
851	C₂×#121	—	47	2	no	—
852	C₂×#121	—	47	2	no	—
853	C₂×#121	—	47	2	no	—
854	C₂×#121	—	47	2	no	—
855	C₂×#121	—	47	2	no	—
856	C₂×#121	—	47	16	no	—
857	C₂×#121	—	47	1	no	—
858	C₂×#121	—	47	1	no	—
859	C₂×#121	—	47	2	no	—
860	C₂×#121	—	47	16	no	—
861	C₂×#121	—	47	1	no	—
862	C₂×#121	—	47	2	no	—
863	C₂×#121	—	47	1	no	—
864	C₂×#121	—	47	2	no	—
865	C₂×#121	—	47	2	no	—
866	C₂×#121	C₂×D₄₇	1	1	yes	characteristic, complemented
867	C₂×#121	C₂×D₄₇	1	1	yes	characteristic, complemented
868	C₂×#121	C₂×D₄₇	1	2	yes	complemented
869	C₂×#120	—	47	2	no	—
870	C₂×#120	—	47	2	no	—
871	C₂×#120	—	47	2	no	—
872	C₂×#120	—	47	2	no	—
873	C₂×#120	—	47	1	no	—
874	C₂×#120	—	47	2	no	—
875	C₂×#120	—	47	2	no	—
876	C₂×#120	—	47	2	no	—
877	C₂×#120	—	47	2	no	—
878	C₂×#120	—	47	2	no	—
879	C₂×#120	—	47	1	no	—
880	C₂×#120	—	47	2	no	—
881	C₂×#120	C₂×D₄₇	1	2	yes	complemented
882	C₂×#120	C₂×D₄₇	1	2	yes	complemented
883	C₂×C₄×D₄	—	47	2	no	—
884	C₂×C₄×D₄	—	47	1	no	—
885	C₂×C₄×D₄	—	47	1	no	—
886	C₂×C₄×D₄	—	47	1	no	—
887	C₂×C₄×D₄	—	47	1	no	—
888	C₂×C₄×D₄	—	47	2	no	—
889	C₂×C₄×D₄	—	47	2	no	—
890	C₂×C₄×D₄	—	47	2	no	—
891	C₂×C₄×D₄	—	47	1	no	—
892	C₂×C₄×D₄	—	47	1	no	—
893	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
894	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
895	C₂×#117	—	47	1	no	—
896	C₂×#117	—	47	1	no	—
897	C₂×#117	—	47	1	no	—
898	C₂²×C₄⋊C₄	—	47	1	no	—
899	C₂²×C₄⋊C₄	—	47	1	no	—
900	C₂²×C₂²⋊C₄	—	47	2	no	—
901	C₂²×C₂²⋊C₄	—	47	2	no	—
902	C₄₇	C₂×#3537	1	1	yes	characteristic, complemented, Sylow
903	C₂⁵	—	47	1	no	—
904	C₂⁵	—	47	2	no	—
905	C₂⁵	—	47	2	no	—
906	C₂⁵	C₂²×D₄₇	1	2	yes	—
907	C₂⁵	C₂²×D₄₇	1	2	yes	—
908	C₂×#41	—	47	8	no	—
909	C₂×#41	—	188	4	no	—
910	C₂²×Q₈	—	47	1	no	—
911	C₂²×D₄	—	4	4	no	—
912	C₂²×D₄	—	4	4	no	—
913	C₂²×D₄	—	4	8	no	—
914	C₂²×D₄	—	47	2	no	—
915	C₂²×D₄	—	47	1	no	—
916	C₂²×D₄	—	47	2	no	—
917	C₂²×D₄	—	47	1	no	—
918	C₂²×D₄	—	47	2	no	—
919	C₂²×D₄	—	47	1	no	—
920	C₂²×D₄	—	47	1	no	—
921	C₂²×D₄	—	47	2	no	—
922	C₂²×D₄	—	47	2	no	—
923	C₂²×D₄	—	47	2	no	—
924	C₂²×D₄	—	47	2	no	—
925	C₂²×D₄	—	47	2	no	—
926	C₂²×D₄	—	47	2	no	—
927	C₂²×D₄	—	47	2	no	—
928	C₂²×D₄	—	47	2	no	—
929	C₂²×D₄	—	47	2	no	—
930	C₂²×D₄	—	47	2	no	—
931	C₂²×D₄	—	47	16	no	—
932	C₂²×D₄	—	47	16	no	—
933	C₂²×D₄	—	47	16	no	—
934	C₂²×D₄	—	47	8	no	—
935	C₂²×D₄	—	47	16	no	—
936	C₂²×D₄	—	47	16	no	—
937	C₂²×D₄	—	47	8	no	—
938	C₂²×D₄	—	47	1	no	—
939	C₂²×D₄	—	47	1	no	—
940	C₂²×D₄	—	47	1	no	—
941	C₂²×D₄	—	47	2	no	—
942	C₂²×D₄	—	188	4	no	—
943	C₂²×D₄	—	188	4	no	—
944	C₂²×D₄	—	188	8	no	—
945	C₂²×D₄	—	188	8	no	—
946	C₂²×D₄	—	188	8	no	—
947	C₂²×D₄	—	188	8	no	—
948	C₂²×D₄	—	188	8	no	—
949	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
950	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
951	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
952	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
953	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
954	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
955	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
956	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
957	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
958	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
959	C₂²×D₄	C₂²×D₄₇	1	8	yes	complemented
960	C₂²×D₄	C₂²×D₄₇	1	16	yes	complemented
961	C₂²×D₄	C₂²×D₄₇	1	8	yes	complemented
962	C₂³×C₄	—	47	1	no	—
963	C₂³×C₄	—	47	2	no	—
964	C₂³×C₄	—	47	2	no	—
965	C₂³×C₄	—	47	2	no	—
966	C₂³×C₄	—	47	1	no	—
967	C₂³×C₄	—	47	1	no	—
968	C₂³×C₄	—	47	1	no	—
969	C₂³×C₄	—	47	1	no	—
970	C₂³×C₄	—	47	2	no	—
971	C₂³×C₄	—	47	2	no	—
972	C₂³×C₄	—	47	1	no	—
973	C₂³×C₄	—	47	8	no	—
974	C₂³×C₄	—	188	4	no	—
975	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
976	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
977	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
978	#127	—	47	16	no	—
979	#127	—	47	16	no	—
980	#127	—	47	8	no	—
981	#127	C₂²×D₄₇	1	8	yes	complemented
982	#126	—	47	16	no	—
983	#126	—	47	16	no	—
984	#126	—	47	16	no	—
985	#126	—	47	16	no	—
986	#125	—	47	8	no	—
987	#125	—	47	8	no	—
988	#124	—	47	16	no	—
989	#124	—	47	16	no	—
990	#123	—	47	16	no	—
991	#123	—	47	16	no	—
992	#123	—	47	16	no	—
993	#123	—	47	16	no	—
994	#123	—	47	16	no	—
995	#123	—	47	8	no	—
996	#123	—	47	8	no	—
997	#123	—	47	16	no	—
998	#123	—	47	16	no	—
999	#123	—	47	16	no	—
1000	C₂²⋊Q₈	—	47	8	no	—
1001	C₂²⋊Q₈	—	47	8	no	—
1002	#121	—	47	16	no	—
1003	#121	—	47	16	no	—
1004	#121	—	47	8	no	—
1005	#121	—	47	8	no	—
1006	#121	—	47	8	no	—
1007	#121	—	47	8	no	—
1008	#121	—	47	8	no	—
1009	#121	—	47	16	no	—
1010	#121	—	47	8	no	—
1011	#121	—	47	16	no	—
1012	#121	—	47	16	no	—
1013	#121	—	47	16	no	—
1014	#121	—	47	8	no	—
1015	#121	—	47	8	no	—
1016	#121	—	47	16	no	—
1017	#121	—	47	16	no	—
1018	#121	—	47	16	no	—
1019	#121	—	47	16	no	—
1020	#121	—	47	16	no	—
1021	#121	—	47	8	no	—
1022	#121	—	47	8	no	—
1023	#121	—	47	16	no	—
1024	#121	—	47	8	no	—
1025	#121	—	47	16	no	—
1026	#121	—	47	8	no	—
1027	#121	—	47	16	no	—
1028	#121	—	47	16	no	—
1029	#121	C₂²×D₄₇	1	8	yes	complemented
1030	#121	C₂²×D₄₇	1	8	yes	complemented
1031	#121	C₂²×D₄₇	1	16	yes	complemented
1032	#120	—	47	16	no	—
1033	#120	—	47	16	no	—
1034	#120	—	47	16	no	—
1035	#120	—	47	16	no	—
1036	#120	—	47	8	no	—
1037	#120	—	47	16	no	—
1038	#120	—	47	16	no	—
1039	#120	—	47	16	no	—
1040	#120	—	47	16	no	—
1041	#120	—	47	16	no	—
1042	#120	—	47	8	no	—
1043	#120	—	47	16	no	—
1044	#120	C₂²×D₄₇	1	16	yes	complemented
1045	#120	C₂²×D₄₇	1	16	yes	complemented
1046	C₄×D₄	—	47	16	no	—
1047	C₄×D₄	—	47	8	no	—
1048	C₄×D₄	—	47	8	no	—
1049	C₄×D₄	—	47	8	no	—
1050	C₄×D₄	—	47	8	no	—
1051	C₄×D₄	—	47	16	no	—
1052	C₄×D₄	—	47	16	no	—
1053	C₄×D₄	—	47	16	no	—
1054	C₄×D₄	—	47	8	no	—
1055	C₄×D₄	—	47	8	no	—
1056	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
1057	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
1058	#117	—	47	8	no	—
1059	#117	—	47	8	no	—
1060	#117	—	47	8	no	—
1061	C₂×C₄⋊C₄	—	47	1	no	—
1062	C₂×C₄⋊C₄	—	47	1	no	—
1063	C₂×C₄⋊C₄	—	47	1	no	—
1064	C₂×C₄⋊C₄	—	47	2	no	—
1065	C₂×C₄⋊C₄	—	47	2	no	—
1066	C₂×C₄⋊C₄	—	47	8	no	—
1067	C₂×C₄⋊C₄	—	47	1	no	—
1068	C₂×C₄⋊C₄	—	47	1	no	—
1069	C₂×C₄⋊C₄	—	47	1	no	—
1070	C₂×C₄⋊C₄	—	47	1	no	—
1071	C₂×C₄⋊C₄	—	47	1	no	—
1072	C₂×C₄⋊C₄	—	47	2	no	—
1073	C₂×C₄⋊C₄	—	47	2	no	—
1074	C₂×C₄⋊C₄	—	47	2	no	—
1075	C₂×C₄⋊C₄	—	47	2	no	—
1076	C₂×C₄⋊C₄	—	47	8	no	—
1077	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	—	47	2	no	—
1080	C₂×C₂²⋊C₄	—	47	2	no	—
1081	C₂×C₂²⋊C₄	—	47	2	no	—
1082	C₂×C₂²⋊C₄	—	47	2	no	—
1083	C₂×C₂²⋊C₄	—	47	2	no	—
1084	C₂×C₂²⋊C₄	—	47	16	no	—
1085	C₂×C₂²⋊C₄	—	47	2	no	—
1086	C₂×C₂²⋊C₄	—	47	1	no	—
1087	C₂×C₂²⋊C₄	—	47	2	no	—
1088	C₂×C₂²⋊C₄	—	47	2	no	—
1089	C₂×C₂²⋊C₄	—	47	2	no	—
1090	C₂×C₂²⋊C₄	—	47	2	no	—
1091	C₂×C₂²⋊C₄	—	47	1	no	—
1092	C₂×C₂²⋊C₄	—	47	2	no	—
1093	C₂×C₂²⋊C₄	—	47	2	no	—
1094	C₂×C₂²⋊C₄	—	47	2	no	—
1095	C₂×C₂²⋊C₄	—	47	1	no	—
1096	C₂×C₂²⋊C₄	—	47	1	no	—
1097	C₂×C₂²⋊C₄	—	47	1	no	—
1098	C₂×C₂²⋊C₄	—	47	1	no	—
1099	C₂×C₂²⋊C₄	—	47	2	no	—
1100	C₂×C₂²⋊C₄	—	47	2	no	—
1101	C₂×C₂²⋊C₄	—	47	1	no	—
1102	C₂×C₂²⋊C₄	—	47	1	no	—
1103	C₂×C₂²⋊C₄	—	47	16	no	—
1104	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1105	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1107	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1108	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1109	C₂×C₄²	—	47	1	no	—
1110	C₂×C₄²	—	47	2	no	—
1111	C₂×C₄²	—	47	2	no	—
1112	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1113	C₂⁴	—	2	8	no	—
1114	C₂⁴	—	4	4	no	—
1115	C₂⁴	—	4	4	no	—
1116	C₂⁴	—	4	4	no	—
1117	C₂⁴	—	4	4	no	—
1118	C₂⁴	—	4	4	no	—
1119	C₂⁴	—	47	1	no	—
1120	C₂⁴	—	47	2	no	—
1121	C₂⁴	—	47	1	no	—
1122	C₂⁴	—	47	1	no	—
1123	C₂⁴	—	47	4	no	—
1124	C₂⁴	—	47	8	no	—
1125	C₂⁴	—	47	8	no	—
1126	C₂⁴	—	94	8	no	—
1127	C₂⁴	—	94	4	no	—
1128	C₂⁴	—	94	4	no	—
1129	C₂⁴	—	188	4	no	—
1130	C₂⁴	—	188	4	no	—
1131	C₂⁴	—	188	4	no	—
1132	C₂⁴	—	188	4	no	—
1133	C₂⁴	—	188	4	no	—
1134	C₂⁴	—	188	2	no	—
1135	C₂⁴	C₂³×D₄₇	1	2	yes	—
1136	C₂⁴	C₂³×D₄₇	1	2	yes	—
1137	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1138	C₂⁴	C₂³×D₄₇	1	2	yes	—
1139	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1140	C₂⁴	C₂³×D₄₇	1	8	yes	—
1141	C₂⁴	C₂³×D₄₇	1	8	yes	—
1142	#41	—	188	16	no	—
1143	C₂×Q₈	—	47	4	no	—
1144	C₂×Q₈	—	188	2	no	—
1145	C₂×D₄	—	2	4	no	—
1146	C₂×D₄	—	2	8	no	—
1147	C₂×D₄	—	2	4	no	—
1148	C₂×D₄	—	2	4	no	—
1149	C₂×D₄	—	2	4	no	—
1150	C₂×D₄	—	4	16	no	—
1151	C₂×D₄	—	4	16	no	—
1152	C₂×D₄	—	4	4	no	—
1153	C₂×D₄	—	4	4	no	—
1154	C₂×D₄	—	4	4	no	—
1155	C₂×D₄	—	4	4	no	—
1156	C₂×D₄	—	4	4	no	—
1157	C₂×D₄	—	4	32	no	—
1158	C₂×D₄	—	47	8	no	—
1159	C₂×D₄	—	47	4	no	—
1160	C₂×D₄	—	47	8	no	—
1161	C₂×D₄	—	47	8	no	—
1162	C₂×D₄	—	47	4	no	—
1163	C₂×D₄	—	47	4	no	—
1164	C₂×D₄	—	47	4	no	—
1165	C₂×D₄	—	47	8	no	—
1166	C₂×D₄	—	47	8	no	—
1167	C₂×D₄	—	47	8	no	—
1168	C₂×D₄	—	47	8	no	—
1169	C₂×D₄	—	47	8	no	—
1170	C₂×D₄	—	47	8	no	—
1171	C₂×D₄	—	47	8	no	—
1172	C₂×D₄	—	47	8	no	—
1173	C₂×D₄	—	47	8	no	—
1174	C₂×D₄	—	47	8	no	—
1175	C₂×D₄	—	47	4	no	—
1176	C₂×D₄	—	47	4	no	—
1177	C₂×D₄	—	47	4	no	—
1178	C₂×D₄	—	47	8	no	—
1179	C₂×D₄	—	94	4	no	—
1180	C₂×D₄	—	94	8	no	—
1181	C₂×D₄	—	94	4	no	—
1182	C₂×D₄	—	94	8	no	—
1183	C₂×D₄	—	94	8	no	—
1184	C₂×D₄	—	94	4	no	—
1185	C₂×D₄	—	94	4	no	—
1186	C₂×D₄	—	188	4	no	—
1187	C₂×D₄	—	188	2	no	—
1188	C₂×D₄	—	188	16	no	—
1189	C₂×D₄	—	188	16	no	—
1190	C₂×D₄	—	188	4	no	—
1191	C₂×D₄	—	188	4	no	—
1192	C₂×D₄	—	188	4	no	—
1193	C₂×D₄	—	188	4	no	—
1194	C₂×D₄	—	188	4	no	—
1195	C₂×D₄	—	188	4	no	—
1196	C₂×D₄	—	188	4	no	—
1197	C₂×D₄	—	188	4	no	—
1198	C₂×D₄	—	188	4	no	—
1199	C₂×D₄	—	188	4	no	—
1200	C₂×D₄	—	188	2	no	—
1201	C₂×D₄	—	188	2	no	—
1202	C₂×D₄	—	188	32	no	—
1203	C₂×D₄	—	188	32	no	—
1204	C₂×D₄	—	188	32	no	—
1205	C₂×D₄	—	188	32	no	—
1206	C₂×D₄	—	188	32	no	—
1207	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1208	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1209	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1210	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1211	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1212	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1213	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1214	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1215	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1216	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1217	C₂²×C₄	—	2	4	no	—
1218	C₂²×C₄	—	2	4	no	—
1219	C₂²×C₄	—	4	4	no	—
1220	C₂²×C₄	—	47	1	no	—
1221	C₂²×C₄	—	47	1	no	—
1222	C₂²×C₄	—	47	2	no	—
1223	C₂²×C₄	—	47	2	no	—
1224	C₂²×C₄	—	47	1	no	—
1225	C₂²×C₄	—	47	2	no	—
1226	C₂²×C₄	—	47	1	no	—
1227	C₂²×C₄	—	47	1	no	—
1228	C₂²×C₄	—	47	4	no	—
1229	C₂²×C₄	—	47	8	no	—
1230	C₂²×C₄	—	47	8	no	—
1231	C₂²×C₄	—	47	8	no	—
1232	C₂²×C₄	—	47	4	no	—
1233	C₂²×C₄	—	47	4	no	—
1234	C₂²×C₄	—	47	4	no	—
1235	C₂²×C₄	—	47	4	no	—
1236	C₂²×C₄	—	47	8	no	—
1237	C₂²×C₄	—	47	8	no	—
1238	C₂²×C₄	—	47	4	no	—
1239	C₂²×C₄	—	94	4	no	—
1240	C₂²×C₄	—	94	4	no	—
1241	C₂²×C₄	—	94	4	no	—
1242	C₂²×C₄	—	188	16	no	—
1243	C₂²×C₄	—	188	2	no	—
1244	C₂²×C₄	—	188	2	no	—
1245	C₂²×C₄	—	188	4	no	—
1246	C₂²×C₄	—	188	4	no	—
1247	C₂²×C₄	—	188	2	no	—
1248	C₂²×C₄	—	188	4	no	—
1249	C₂²×C₄	—	188	4	no	—
1250	C₂²×C₄	—	188	4	no	—
1251	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1252	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1253	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1255	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1258	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1259	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1260	C₄⋊C₄	—	47	8	no	—
1261	C₄⋊C₄	—	47	4	no	—
1262	C₄⋊C₄	—	47	4	no	—
1263	C₄⋊C₄	—	47	4	no	—
1264	C₄⋊C₄	—	47	4	no	—
1265	C₄⋊C₄	—	47	8	no	—
1266	C₄⋊C₄	—	47	8	no	—
1267	C₄⋊C₄	—	47	8	no	—
1268	C₄⋊C₄	—	47	4	no	—
1269	C₄⋊C₄	—	47	4	no	—
1270	C₄⋊C₄	—	47	4	no	—
1271	C₄⋊C₄	—	47	8	no	—
1272	C₄⋊C₄	—	47	4	no	—
1273	C₄⋊C₄	—	47	8	no	—
1274	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1275	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1276	C₂²⋊C₄	—	47	8	no	—
1277	C₂²⋊C₄	—	47	8	no	—
1278	C₂²⋊C₄	—	47	8	no	—
1279	C₂²⋊C₄	—	47	8	no	—
1280	C₂²⋊C₄	—	47	8	no	—
1281	C₂²⋊C₄	—	47	8	no	—
1282	C₂²⋊C₄	—	47	4	no	—
1283	C₂²⋊C₄	—	47	8	no	—
1284	C₂²⋊C₄	—	47	8	no	—
1285	C₂²⋊C₄	—	47	8	no	—
1286	C₂²⋊C₄	—	47	8	no	—
1287	C₂²⋊C₄	—	47	4	no	—
1288	C₂²⋊C₄	—	47	8	no	—
1289	C₂²⋊C₄	—	47	8	no	—
1290	C₂²⋊C₄	—	47	8	no	—
1291	C₂²⋊C₄	—	47	4	no	—
1292	C₂²⋊C₄	—	47	4	no	—
1293	C₂²⋊C₄	—	47	4	no	—
1294	C₂²⋊C₄	—	47	4	no	—
1295	C₂²⋊C₄	—	47	8	no	—
1296	C₂²⋊C₄	—	47	8	no	—
1297	C₂²⋊C₄	—	47	4	no	—
1298	C₂²⋊C₄	—	47	4	no	—
1299	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1300	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1301	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1302	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1303	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1304	C₄²	—	47	4	no	—
1305	C₄²	—	47	8	no	—
1306	C₄²	—	47	8	no	—
1307	C₄²	C₂³×D₄₇	1	4	yes	—
1308	C₂³	—	2	2	no	—
1309	C₂³	—	2	2	no	—
1310	C₂³	—	2	4	no	—
1311	C₂³	—	2	4	no	—
1312	C₂³	—	2	2	no	—
1313	C₂³	—	2	4	no	—
1314	C₂³	—	2	2	no	—
1315	C₂³	—	2	4	no	—
1316	C₂³	—	2	4	no	—
1317	C₂³	—	2	2	no	—
1318	C₂³	—	2	4	no	—
1319	C₂³	—	2	4	no	—
1320	C₂³	—	2	4	no	—
1321	C₂³	—	2	4	no	—
1322	C₂³	—	2	16	no	—
1323	C₂³	—	4	8	no	—
1324	C₂³	—	4	8	no	—
1325	C₂³	—	4	8	no	—
1326	C₂³	—	4	8	no	—
1327	C₂³	—	4	8	no	—
1328	C₂³	—	8	16	no	—
1329	C₂³	—	8	16	no	—
1330	C₂³	—	47	4	no	—
1331	C₂³	—	47	2	no	—
1332	C₂³	—	47	4	no	—
1333	C₂³	—	47	2	no	—
1334	C₂³	—	47	2	no	—
1335	C₂³	—	94	16	no	—
1336	C₂³	—	94	8	no	—
1337	C₂³	—	94	2	no	—
1338	C₂³	—	94	2	no	—
1339	C₂³	—	94	4	no	—
1340	C₂³	—	94	2	no	—
1341	C₂³	—	94	2	no	—
1342	C₂³	—	94	2	no	—
1343	C₂³	—	94	2	no	—
1344	C₂³	—	94	4	no	—
1345	C₂³	—	94	2	no	—
1346	C₂³	—	94	4	no	—
1347	C₂³	—	94	8	no	—
1348	C₂³	—	94	2	no	—
1349	C₂³	—	376	16	no	—
1350	C₂³	—	376	16	no	—
1351	C₂³	—	188	8	no	—
1352	C₂³	—	188	8	no	—
1353	C₂³	—	188	8	no	—
1354	C₂³	—	188	8	no	—
1355	C₂³	—	188	8	no	—
1356	C₂³	—	188	4	no	—
1357	C₂³	—	188	16	no	—
1358	C₂³	#13094069	1	4	yes	—
1359	C₂³	C₂⁴×D₄₇	1	4	yes	—
1360	C₂³	C₂⁴×D₄₇	1	4	yes	—
1361	C₂³	C₂⁴×D₄₇	1	2	yes	—
1362	C₂³	C₂⁴×D₄₇	1	4	yes	—
1363	C₂³	C₂⁴×D₄₇	1	2	yes	—
1364	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1365	Q₈	—	188	4	no	—
1366	D₄	—	2	8	no	—
1367	D₄	—	2	16	no	—
1368	D₄	—	2	8	no	—
1369	D₄	—	2	8	no	—
1370	D₄	—	2	8	no	—
1371	D₄	—	4	8	no	—
1372	D₄	—	4	8	no	—
1373	D₄	—	4	8	no	—
1374	D₄	—	4	8	no	—
1375	D₄	—	4	8	no	—
1376	D₄	—	94	8	no	—
1377	D₄	—	94	16	no	—
1378	D₄	—	94	8	no	—
1379	D₄	—	94	16	no	—
1380	D₄	—	94	16	no	—
1381	D₄	—	94	8	no	—
1382	D₄	—	94	8	no	—
1383	D₄	—	188	8	no	—
1384	D₄	—	188	4	no	—
1385	D₄	—	188	8	no	—
1386	D₄	—	188	8	no	—
1387	D₄	—	188	8	no	—
1388	D₄	—	188	8	no	—
1389	D₄	—	188	8	no	—
1390	D₄	—	188	8	no	—
1391	D₄	—	188	8	no	—
1392	D₄	—	188	8	no	—
1393	D₄	—	188	8	no	—
1394	D₄	—	188	8	no	—
1395	D₄	—	188	4	no	—
1396	D₄	—	188	4	no	—
1397	C₂×C₄	—	2	2	no	—
1398	C₂×C₄	—	2	2	no	—
1399	C₂×C₄	—	2	2	no	—
1400	C₂×C₄	—	2	2	no	—
1401	C₂×C₄	—	2	4	no	—
1402	C₂×C₄	—	2	8	no	—
1403	C₂×C₄	—	2	8	no	—
1404	C₂×C₄	—	4	8	no	—
1405	C₂×C₄	—	47	2	no	—
1406	C₂×C₄	—	47	2	no	—
1407	C₂×C₄	—	47	4	no	—
1408	C₂×C₄	—	47	4	no	—
1409	C₂×C₄	—	47	2	no	—
1410	C₂×C₄	—	47	4	no	—
1411	C₂×C₄	—	47	2	no	—
1412	C₂×C₄	—	47	2	no	—
1413	C₂×C₄	—	94	4	no	—
1414	C₂×C₄	—	94	2	no	—
1415	C₂×C₄	—	94	4	no	—
1416	C₂×C₄	—	94	2	no	—
1417	C₂×C₄	—	94	2	no	—
1418	C₂×C₄	—	94	2	no	—
1419	C₂×C₄	—	94	4	no	—
1420	C₂×C₄	—	94	2	no	—
1421	C₂×C₄	—	94	8	no	—
1422	C₂×C₄	—	94	8	no	—
1423	C₂×C₄	—	94	8	no	—
1424	C₂×C₄	—	188	4	no	—
1425	C₂×C₄	—	188	4	no	—
1426	C₂×C₄	—	188	8	no	—
1427	C₂×C₄	—	188	8	no	—
1428	C₂×C₄	—	188	4	no	—
1429	C₂×C₄	—	188	8	no	—
1430	C₂×C₄	—	188	8	no	—
1431	C₂×C₄	—	188	8	no	—
1432	C₂×C₄	#13094069	1	4	yes	—
1433	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1434	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1435	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1436	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1437	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1438	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1439	C₂²	—	2	8	no	—
1440	C₂²	—	2	2	no	—
1441	C₂²	—	2	2	no	—
1442	C₂²	—	2	4	no	—
1443	C₂²	—	2	4	no	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	4	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	2	4	no	—
1448	C₂²	—	2	4	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	4	no	—
1451	C₂²	—	2	4	no	—
1452	C₂²	—	2	4	no	—
1453	C₂²	—	2	4	no	—
1454	C₂²	—	4	4	no	—
1455	C₂²	—	4	8	no	—
1456	C₂²	—	4	8	no	—
1457	C₂²	—	4	8	no	—
1458	C₂²	—	8	16	no	—
1459	C₂²	—	8	16	no	—
1460	C₂²	—	47	4	no	—
1461	C₂²	—	94	8	no	—
1462	C₂²	—	94	2	no	—
1463	C₂²	—	94	2	no	—
1464	C₂²	—	94	4	no	—
1465	C₂²	—	94	2	no	—
1466	C₂²	—	94	2	no	—
1467	C₂²	—	94	2	no	—
1468	C₂²	—	94	2	no	—
1469	C₂²	—	94	4	no	—
1470	C₂²	—	94	2	no	—
1471	C₂²	—	94	4	no	—
1472	C₂²	—	94	2	no	—
1473	C₂²	—	376	16	no	—
1474	C₂²	—	376	16	no	—
1475	C₂²	—	188	16	no	—
1476	C₂²	—	188	8	no	—
1477	C₂²	—	188	4	no	—
1478	C₂²	—	188	4	no	—
1479	C₂²	H(5,𝔽₂)×D₄₇	1	2	yes	—
1480	C₂²	C₂×#13094069	1	4	yes	—
1481	C₂²	C₂×#13094069	1	2	yes	—
1482	C₂²	C₂×#13094069	1	2	yes	—
1483	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	4	no	—
1489	C₄	—	94	4	no	—
1490	C₄	—	94	2	no	—
1491	C₄	—	94	4	no	—
1492	C₄	—	94	2	no	—
1493	C₄	—	94	2	no	—
1494	C₄	—	94	2	no	—
1495	C₄	—	94	4	no	—
1496	C₄	—	94	2	no	—
1497	C₄	C₂×#13094069	1	4	yes	—
1498	C₂	—	2	4	no	—
1499	C₂	—	4	2	no	—
1500	C₂	—	4	4	no	—
1501	C₂	—	4	4	no	—
1502	C₂	—	4	4	no	—
1503	C₂	—	94	4	no	—
1504	C₂	—	188	4	no	—
1505	C₂	—	188	2	no	—
1506	C₂	—	188	2	no	—
1507	C₂	#20257619	1	4	yes	direct product factor
1508	C₂	C₂×H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1509	C₂	C₂²×#13094069	1	1	yes	characteristic
1510	C₂	C₂²×#13094069	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×D₄²×C₄₇	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×D₄²	D₄₇
hypocenter	C₄₇	C₂×#3537
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×D₄²

Complements

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

N	H ≅ G/N	type
1. #20257619	C₂	direct (N × H)
2. C₂×#15689862	C₂	semidirect
3. C₂×#15689861	C₂	semidirect
4. C₂×#15689825	C₂	semidirect
5. C₂×#15689823	C₂	semidirect
6. C₂×#15689820	C₂	semidirect
7. C₂×#15689819	C₂	semidirect
8. C₂×#15689758	C₂	semidirect
9. C₂×D₄×C₂²⋊D₄₇	C₂	semidirect
10. C₂×D₄×C₂²⋊D₄₇	C₂	semidirect
11. C₂×D₄×C₂²⋊D₄₇	C₂	semidirect
12. C₂×#15689755	C₂	semidirect
13. C₂×#15689727	C₂	semidirect
14. C₂×#15689724	C₂	semidirect
15. C₂×#15689708	C₂	semidirect
16. C₂×#15689705	C₂	semidirect
17. C₂×#15689690	C₂	semidirect
18. C₂×#15689689	C₂	semidirect
19. C₂×#15689683	C₂	semidirect
20. C₂×#15689682	C₂	semidirect
21. C₂×#15689632	C₂	semidirect
22. C₂²×#13093995	C₂	semidirect
23. C₂×#121×D₄₇	C₂	semidirect
24. C₂×D₄²×C₄₇	C₂	semidirect
25. C₂²×#10625350	C₂²	semidirect
26. C₂³×C₂²⋊D₄₇	C₂²	semidirect
27. C₂³×C₂²⋊D₄₇	C₂²	semidirect
28. C₂³×C₂²⋊D₄₇	C₂²	semidirect
29. C₂²×D₄×D₄₇	C₂²	semidirect
30. C₂²×D₄×D₄₇	C₂²	semidirect
31. C₂²×D₄×D₄₇	C₂²	semidirect
32. C₂²×D₄×D₄₇	C₂²	semidirect
33. C₂³×C₄×D₄₇	C₂²	semidirect
34. #15689862	C₂²	semidirect
35. #15689861	C₂²	semidirect
36. #15689825	C₂²	semidirect
37. #15689823	C₂²	semidirect
38. #15689820	C₂²	semidirect
39. #15689819	C₂²	semidirect
40. #15689758	C₂²	semidirect
41. D₄×C₂²⋊D₄₇	C₂²	semidirect
42. D₄×C₂²⋊D₄₇	C₂²	semidirect
43. D₄×C₂²⋊D₄₇	C₂²	semidirect
44. #15689755	C₂²	semidirect
45. #15689727	C₂²	semidirect
46. #15689724	C₂²	semidirect
47. #15689708	C₂²	semidirect
48. #15689705	C₂²	semidirect
49. #15689690	C₂²	semidirect
50. #15689689	C₂²	semidirect
51. #15689683	C₂²	semidirect
52. #15689682	C₂²	semidirect
53. C₂×#13094020	C₂²	semidirect
54. C₂×#13094020	C₂²	semidirect
55. C₂×#13094020	C₂²	semidirect
56. C₂×#13094019	C₂²	semidirect
57. C₂×#13094017	C₂²	semidirect
58. C₂×#13094017	C₂²	semidirect
59. C₂×#13094017	C₂²	semidirect
60. C₂×#13094016	C₂²	semidirect
61. C₂×#13094015	C₂²	semidirect
62. C₂×#13094011	C₂²	semidirect
63. C₂×#13094010	C₂²	semidirect
64. #15689632	C₂²	semidirect
65. C₂×#13094009	C₂²	semidirect
66. C₂×#13094008	C₂²	semidirect
67. C₂×#13094007	C₂²	semidirect
68. C₂×#13094007	C₂²	semidirect
69. C₂×#13094006	C₂²	semidirect
70. C₂×#13094006	C₂²	semidirect
71. C₂×#13094006	C₂²	semidirect
72. C₂×#13094005	C₂²	semidirect
73. C₂×#13094005	C₂²	semidirect
74. C₂×#13094005	C₂²	semidirect
75. C₂×#13094002	C₂²	semidirect
76. C₂×#13094001	C₂²	semidirect
77. C₂×#13093999	C₂²	semidirect
78. C₂×#13093998	C₂²	semidirect
79. C₂×#13093998	C₂²	semidirect
80. C₂×#13093998	C₂²	semidirect
81. C₂×#13093997	C₂²	semidirect
82. C₂×#13093997	C₂²	semidirect
83. C₂×#13093997	C₂²	semidirect
84. C₂×#13093997	C₂²	semidirect
85. C₂×#13093996	C₂²	semidirect
86. C₂×#13093996	C₂²	semidirect
87. C₂×#13093996	C₂²	semidirect
88. C₂×#13093996	C₂²	semidirect
89. C₂×#13093996	C₂²	semidirect
90. C₂×#13093996	C₂²	semidirect
91. C₂×#13093996	C₂²	semidirect
92. C₂×#13093996	C₂²	semidirect
93. C₂×#13093995	C₂²	semidirect
94. C₂×#13093995	C₂²	semidirect
95. C₂×#13093995	C₂²	semidirect
96. C₂×#13093995	C₂²	semidirect
97. C₂×#13093995	C₂²	semidirect
98. C₂×#13093995	C₂²	semidirect
99. C₂×#13093995	C₂²	semidirect
100. C₂×#13093995	C₂²	semidirect
101. C₂×#13093995	C₂²	semidirect
102. C₂×#13093995	C₂²	semidirect
103. C₂×#13093995	C₂²	semidirect
104. C₂×#13093995	C₂²	semidirect
105. #121×D₄₇	C₂²	semidirect
106. C₂×#13093994	C₂²	semidirect
107. C₂×#13093994	C₂²	semidirect
108. C₂×#13093993	C₂²	semidirect
109. C₂×#13093993	C₂²	semidirect
110. C₂×#13093993	C₂²	semidirect
111. C₂×#13093993	C₂²	semidirect
112. C₂×#13093992	C₂²	semidirect
113. C₂×#13093992	C₂²	semidirect
114. C₂×#13093992	C₂²	semidirect
115. C₂×#13093992	C₂²	semidirect
116. C₂×#13093992	C₂²	semidirect
117. C₂×#13093992	C₂²	semidirect
118. C₂×C₄×D₁₈₈	C₂²	semidirect
119. C₂×C₄×D₁₈₈	C₂²	semidirect
120. C₂×D₄×Dic₄₇	C₂²	semidirect
121. C₂×D₄×Dic₄₇	C₂²	semidirect
122. C₂×D₄×Dic₄₇	C₂²	semidirect
123. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
126. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
127. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
128. C₂×#13093983	C₂²	semidirect
129. C₂×#13093982	C₂²	semidirect
130. C₂×#13093981	C₂²	semidirect
131. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
132. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
133. C₂²×C₂²⋊Dic₄₇	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
135. C₂³×D₄×C₄₇	C₂²	semidirect
136. C₂³×D₄×C₄₇	C₂²	semidirect
137. C₂³×D₄×C₄₇	C₂²	semidirect
138. D₄²×C₄₇	C₂²	semidirect
139. C₂×#127×C₄₇	C₂²	semidirect
140. C₂×#121×C₄₇	C₂²	semidirect
141. C₂×#121×C₄₇	C₂²	semidirect
142. C₂×#121×C₄₇	C₂²	semidirect
143. C₂×#120×C₄₇	C₂²	semidirect
144. C₂×#120×C₄₇	C₂²	semidirect
145. C₂×C₄×D₄×C₄₇	C₂²	semidirect
146. C₂×C₄×D₄×C₄₇	C₂²	semidirect
151. C₂×#10625350	C₂³	semidirect
177. C₂²×C₂²⋊D₄₇	C₂³	semidirect
178. C₂²×C₂²⋊D₄₇	C₂³	semidirect
179. C₂²×C₂²⋊D₄₇	C₂³	semidirect
184. C₂×D₄×D₄₇	C₂³	semidirect
185. C₂×D₄×D₄₇	C₂³	semidirect
186. C₂×D₄×D₄₇	C₂³	semidirect
187. C₂×D₄×D₄₇	C₂³	semidirect
200. C₂²×C₄×D₄₇	C₂³	semidirect
201. #13094020	C₂³	semidirect
202. #13094020	C₂³	semidirect
203. #13094020	C₂³	semidirect
204. #13094019	C₂³	semidirect
205. #13094017	C₂³	semidirect
206. #13094017	C₂³	semidirect
207. #13094017	C₂³	semidirect
208. #13094016	C₂³	semidirect
209. #13094015	C₂³	semidirect
210. #13094011	C₂³	semidirect
211. #13094010	C₂³	semidirect
212. #13094009	C₂³	semidirect
213. #13094008	C₂³	semidirect
214. #13094007	C₂³	semidirect
215. #13094007	C₂³	semidirect
216. #13094006	C₂³	semidirect
217. #13094006	C₂³	semidirect
218. #13094006	C₂³	semidirect
219. #13094005	C₂³	semidirect
220. #13094005	C₂³	semidirect
221. #13094005	C₂³	semidirect
222. #13094002	C₂³	semidirect
223. #13094001	C₂³	semidirect
224. #13093999	C₂³	semidirect
225. #13093998	C₂³	semidirect
226. #13093998	C₂³	semidirect
227. #13093998	C₂³	semidirect
228. #13093997	C₂³	semidirect
229. #13093997	C₂³	semidirect
230. #13093997	C₂³	semidirect
231. #13093997	C₂³	semidirect
232. #13093996	C₂³	semidirect
233. #13093996	C₂³	semidirect
234. #13093996	C₂³	semidirect
235. #13093996	C₂³	semidirect
236. #13093996	C₂³	semidirect
237. #13093996	C₂³	semidirect
238. #13093996	C₂³	semidirect
239. #13093996	C₂³	semidirect
240. #13093995	C₂³	semidirect
241. #13093995	C₂³	semidirect
242. #13093995	C₂³	semidirect
243. #13093995	C₂³	semidirect
244. #13093995	C₂³	semidirect
245. #13093995	C₂³	semidirect
246. #13093995	C₂³	semidirect
247. #13093995	C₂³	semidirect
248. #13093995	C₂³	semidirect
249. #13093995	C₂³	semidirect
250. #13093995	C₂³	semidirect
251. #13093994	C₂³	semidirect
252. #13093994	C₂³	semidirect
253. #13093993	C₂³	semidirect
254. #13093993	C₂³	semidirect
255. #13093993	C₂³	semidirect
256. #13093993	C₂³	semidirect
257. #13093992	C₂³	semidirect
258. #13093992	C₂³	semidirect
259. #13093992	C₂³	semidirect
260. #13093992	C₂³	semidirect
261. #13093992	C₂³	semidirect
262. #13093992	C₂³	semidirect
263. C₄×D₁₈₈	C₂³	semidirect
264. C₄×D₁₈₈	C₂³	semidirect
265. D₄×Dic₄₇	C₂³	semidirect
266. D₄×Dic₄₇	C₂³	semidirect
267. D₄×Dic₄₇	C₂³	semidirect
268. C₄×C₂²⋊D₄₇	C₂³	semidirect
269. C₄×C₂²⋊D₄₇	C₂³	semidirect
270. C₄×C₂²⋊D₄₇	C₂³	semidirect
271. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
272. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
273. #13093983	C₂³	semidirect
274. #13093982	C₂³	semidirect
275. #13093981	C₂³	semidirect
282. C₂×C₄⋊Dic₄₇	C₂³	semidirect
291. C₄⋊C₄×D₄₇	C₂³	semidirect
304. C₂×C₂²⋊Dic₄₇	C₂³	semidirect
316. C₂²⋊C₄×D₄₇	C₂³	semidirect
335. C₂²×D₄×C₄₇	C₂³	semidirect
336. C₂²×D₄×C₄₇	C₂³	semidirect
337. C₂²×D₄×C₄₇	C₂³	semidirect
341. #127×C₄₇	C₂³	semidirect
342. #121×C₄₇	C₂³	semidirect
343. #121×C₄₇	C₂³	semidirect
344. #121×C₄₇	C₂³	semidirect
345. #120×C₄₇	C₂³	semidirect
346. #120×C₄₇	C₂³	semidirect
347. C₄×D₄×C₄₇	C₂³	semidirect
348. C₄×D₄×C₄₇	C₂³	semidirect
755. C₂×D₄²	D₄₇	semidirect
772. C₂×C₄₇	#3537	semidirect
788. C₂³×D₄	C₂×D₄₇	semidirect
789. C₂³×D₄	C₂×D₄₇	semidirect
790. C₂³×D₄	C₂×D₄₇	semidirect
803. D₄²	C₂×D₄₇	semidirect
815. C₂×#127	C₂×D₄₇	semidirect
866. C₂×#121	C₂×D₄₇	semidirect
867. C₂×#121	C₂×D₄₇	semidirect
868. C₂×#121	C₂×D₄₇	semidirect
881. C₂×#120	C₂×D₄₇	semidirect
882. C₂×#120	C₂×D₄₇	semidirect
893. C₂×C₄×D₄	C₂×D₄₇	semidirect
894. C₂×C₄×D₄	C₂×D₄₇	semidirect
902. C₄₇	C₂×#3537	semidirect
959. C₂²×D₄	C₂²×D₄₇	semidirect
960. C₂²×D₄	C₂²×D₄₇	semidirect
961. C₂²×D₄	C₂²×D₄₇	semidirect
981. #127	C₂²×D₄₇	semidirect
1029. #121	C₂²×D₄₇	semidirect
1030. #121	C₂²×D₄₇	semidirect
1031. #121	C₂²×D₄₇	semidirect
1044. #120	C₂²×D₄₇	semidirect
1045. #120	C₂²×D₄₇	semidirect
1056. C₄×D₄	C₂²×D₄₇	semidirect
1057. C₄×D₄	C₂²×D₄₇	semidirect
1507. C₂	#20257619	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257619	2
C₂×#15689862	2
C₂×#15689861	2
C₂×#15689825	2
C₂×#15689823	2
C₂×#15689820	2
C₂×#15689819	2
C₂×#15689758	2
C₂×D₄×C₂²⋊D₄₇	2
C₂×#15689755	2
C₂×#15689727	2
C₂×#15689724	2
C₂×#15689708	2
C₂×#15689705	2
C₂×#15689690	2
C₂×#15689689	2
C₂×#15689683	2
C₂×#15689682	2
C₂×#15689632	2
C₂²×#13093995	2
C₂×#121×D₄₇	2
C₂×D₄²×C₄₇	2
C₂×#3537	47

Subgroups — C2×#20257619 #27123509

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257619 #27123509