Subgroups — C₂×#20257700 #27123425

Order 12032.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257700	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689869	C₂	1	2	yes	maximal, complemented
3	C₂×#15689864	C₂	1	2	yes	maximal, complemented
4	C₂×#15689839	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689823	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689814	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689798	C₂	1	2	yes	maximal, complemented
8	C₂×#15689795	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15689776	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15689766	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689766	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689764	C₂	1	2	yes	maximal, complemented
13	C₂×D₄×D₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15689728	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689725	C₂	1	2	yes	maximal, complemented
16	C₂×#15689707	C₂	1	2	yes	maximal, complemented
17	C₂×#15689703	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689691	C₂	1	2	yes	maximal, complemented
19	C₂×#15689689	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#15689684	C₂	1	2	yes	maximal, complemented
21	C₂×#15689636	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689635	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#121×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625354	C₂²	1	2	yes	complemented
26	C₂²×#10625354	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#10625354	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
29	C₂³×D₁₈₈	C₂²	1	2	yes	—
30	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic
31	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
32	C₂²×D₄×D₄₇	C₂²	1	2	yes	complemented
33	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
34	#15689869	C₂²	1	32	yes	complemented
35	#15689864	C₂²	1	32	yes	complemented
36	#15689839	C₂²	1	16	yes	complemented
37	#15689823	C₂²	1	16	yes	complemented
38	#15689814	C₂²	1	16	yes	complemented
39	#15689798	C₂²	1	32	yes	complemented
40	#15689795	C₂²	1	16	yes	complemented
41	#15689776	C₂²	1	16	yes	complemented
42	#15689766	C₂²	1	16	yes	complemented
43	#15689766	C₂²	1	16	yes	complemented
44	#15689764	C₂²	1	32	yes	complemented
45	D₄×D₁₈₈	C₂²	1	16	yes	complemented
46	#15689728	C₂²	1	16	yes	complemented
47	#15689725	C₂²	1	32	yes	complemented
48	#15689707	C₂²	1	32	yes	complemented
49	#15689703	C₂²	1	16	yes	complemented
50	#15689691	C₂²	1	32	yes	complemented
51	#15689689	C₂²	1	16	yes	complemented
52	#15689684	C₂²	1	32	yes	complemented
53	C₂×#13094021	C₂²	1	1	yes	characteristic, complemented
54	C₂×#13094021	C₂²	1	2	yes	complemented
55	C₂×#13094020	C₂²	1	2	yes	complemented
56	C₂×#13094018	C₂²	1	2	yes	complemented
57	C₂×#13094017	C₂²	1	2	yes	complemented
58	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13094014	C₂²	1	2	yes	complemented
60	C₂×#13094013	C₂²	1	2	yes	complemented
61	C₂×#13094013	C₂²	1	2	yes	complemented
62	C₂×#13094010	C₂²	1	2	yes	complemented
63	#15689636	C₂²	1	16	yes	complemented
64	#15689635	C₂²	1	16	yes	complemented
65	C₂×#13094009	C₂²	1	2	yes	—
66	C₂×#13094009	C₂²	1	2	yes	complemented
67	C₂×#13094009	C₂²	1	2	yes	complemented
68	C₂×#13094009	C₂²	1	2	yes	complemented
69	C₂×#13094009	C₂²	1	2	yes	complemented
70	C₂×#13094009	C₂²	1	2	yes	complemented
71	C₂×#13094008	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13094008	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13094007	C₂²	1	2	yes	complemented
74	C₂×#13094006	C₂²	1	2	yes	complemented
75	C₂×#13094006	C₂²	1	2	yes	complemented
76	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13094004	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13094002	C₂²	1	2	yes	complemented
79	C₂×#13094000	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13094000	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13094000	C₂²	1	2	yes	complemented
82	C₂×#13093999	C₂²	1	1	yes	characteristic
83	C₂×#13093999	C₂²	1	1	yes	characteristic
84	C₂×#13093999	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13093999	C₂²	1	2	yes	complemented
86	C₂×#13093999	C₂²	1	2	yes	complemented
87	C₂×#13093999	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13093999	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13093999	C₂²	1	2	yes	complemented
90	C₂×#13093999	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13093999	C₂²	1	2	yes	complemented
92	C₂×#13093998	C₂²	1	2	yes	complemented
93	C₂×#13093998	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13093998	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13093997	C₂²	1	2	yes	complemented
96	C₂×#13093997	C₂²	1	2	yes	complemented
97	C₂×#13093997	C₂²	1	2	yes	complemented
98	C₂×#13093997	C₂²	1	2	yes	complemented
99	C₂×#13093997	C₂²	1	2	yes	complemented
100	C₂×#13093997	C₂²	1	2	yes	complemented
101	C₂×#13093997	C₂²	1	2	yes	complemented
102	C₂×#13093997	C₂²	1	2	yes	complemented
103	C₂×#13093996	C₂²	1	2	yes	complemented
104	C₂×#13093995	C₂²	1	1	yes	characteristic
105	C₂×#13093995	C₂²	1	1	yes	characteristic, complemented
106	#121×D₄₇	C₂²	1	16	yes	complemented
107	C₂×#13093994	C₂²	1	2	yes	—
108	C₂×#13093994	C₂²	1	1	yes	characteristic
109	C₂×#13093994	C₂²	1	2	yes	complemented
110	C₂×#13093994	C₂²	1	2	yes	complemented
111	C₂×#13093994	C₂²	1	2	yes	complemented
112	C₂×#13093994	C₂²	1	2	yes	complemented
113	C₂×#13093994	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13093994	C₂²	1	2	yes	complemented
115	C₂×#13093992	C₂²	1	2	yes	complemented
116	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
117	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₄×D₁₈₈	C₂²	1	2	yes	complemented
122	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
123	C₂×#13093986	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×#13093982	C₂²	1	2	yes	complemented
127	C₂×#13093982	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13093982	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13093981	C₂²	1	2	yes	complemented
130	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
135	C₄₇×#542	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₄₇	C₂²	1	2	yes	complemented
138	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
139	C₂×#124×C₄₇	C₂²	1	2	yes	complemented
140	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	complemented
142	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
146	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₄₇	C₂³	1	2	yes	—
148	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
149	C₂⁴×D₄₇	C₂³	1	2	yes	—
150	C₂×#10625354	—	4	8	no	—
151	C₂×#10625354	—	4	4	no	—
152	C₂×#10625354	—	4	4	no	—
153	C₂×#10625354	C₂³	1	16	yes	complemented
154	C₂×#10625354	C₂³	1	8	yes	complemented
155	C₂×#10625354	C₂³	1	8	yes	complemented
156	C₂×#10625350	—	4	4	no	—
157	C₂×#10625350	C₂³	1	8	yes	complemented
158	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
159	C₂²×D₁₈₈	—	4	8	no	—
160	C₂²×D₁₈₈	C₂³	1	2	yes	—
161	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
162	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
163	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
164	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
165	C₂²×D₁₈₈	C₂³	1	16	yes	—
166	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
167	C₂²×D₁₈₈	C₂³	1	2	yes	—
168	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
169	C₂²×D₁₈₈	C₂³	1	2	yes	—
170	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
171	C₂²×D₁₈₈	C₂³	1	2	yes	—
172	C₂²×D₁₈₈	C₂³	1	2	yes	—
173	C₂²×D₁₈₈	C₂³	1	2	yes	—
174	C₂²×D₁₈₈	C₂³	1	2	yes	—
175	C₂²×D₁₈₈	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
179	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
181	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
183	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
184	C₂×D₄×D₄₇	—	4	4	no	—
185	C₂×D₄×D₄₇	—	4	4	no	—
186	C₂×D₄×D₄₇	—	4	8	no	—
187	C₂×D₄×D₄₇	C₂³	1	8	yes	—
188	C₂×D₄×D₄₇	C₂³	1	8	yes	complemented
189	C₂×D₄×D₄₇	C₂³	1	16	yes	complemented
190	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₇	—	4	4	no	—
192	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
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	1	yes	characteristic
198	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
199	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
200	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
201	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
202	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
203	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₇	C₂³	1	8	yes	complemented
205	#13094021	C₂³	1	8	yes	complemented
206	#13094021	C₂³	1	16	yes	complemented
207	#13094020	C₂³	1	16	yes	complemented
208	#13094018	C₂³	1	16	yes	complemented
209	#13094017	C₂³	1	16	yes	complemented
210	#13094016	C₂³	1	8	yes	complemented
211	#13094014	C₂³	1	16	yes	complemented
212	#13094013	C₂³	1	16	yes	complemented
213	#13094013	C₂³	1	16	yes	complemented
214	#13094010	C₂³	1	16	yes	complemented
215	#13094009	C₂³	1	16	yes	—
216	#13094009	C₂³	1	16	yes	complemented
217	#13094009	C₂³	1	16	yes	complemented
218	#13094009	C₂³	1	16	yes	complemented
219	#13094009	C₂³	1	16	yes	complemented
220	#13094009	C₂³	1	16	yes	complemented
221	#13094008	C₂³	1	8	yes	complemented
222	#13094008	C₂³	1	8	yes	complemented
223	#13094007	C₂³	1	16	yes	complemented
224	#13094006	C₂³	1	16	yes	complemented
225	#13094006	C₂³	1	16	yes	complemented
226	#13094004	C₂³	1	8	yes	complemented
227	#13094004	C₂³	1	8	yes	complemented
228	#13094002	C₂³	1	16	yes	complemented
229	#13094000	C₂³	1	8	yes	complemented
230	#13094000	C₂³	1	8	yes	complemented
231	#13094000	C₂³	1	16	yes	complemented
232	#13093999	C₂³	1	8	yes	—
233	#13093999	C₂³	1	8	yes	—
234	#13093999	C₂³	1	8	yes	complemented
235	#13093999	C₂³	1	16	yes	complemented
236	#13093999	C₂³	1	16	yes	complemented
237	#13093999	C₂³	1	8	yes	complemented
238	#13093999	C₂³	1	8	yes	complemented
239	#13093999	C₂³	1	16	yes	complemented
240	#13093999	C₂³	1	16	yes	complemented
241	#13093999	C₂³	1	8	yes	complemented
242	#13093998	C₂³	1	8	yes	complemented
243	#13093998	C₂³	1	8	yes	complemented
244	#13093998	C₂³	1	16	yes	complemented
245	#13093997	C₂³	1	16	yes	complemented
246	#13093997	C₂³	1	16	yes	complemented
247	#13093997	C₂³	1	16	yes	complemented
248	#13093997	C₂³	1	16	yes	complemented
249	#13093997	C₂³	1	16	yes	complemented
250	#13093997	C₂³	1	16	yes	complemented
251	#13093997	C₂³	1	16	yes	complemented
252	#13093997	C₂³	1	16	yes	complemented
253	#13093996	C₂³	1	16	yes	complemented
254	#13093995	C₂³	1	8	yes	—
255	#13093995	C₂³	1	8	yes	complemented
256	#13093994	C₂³	1	16	yes	—
257	#13093994	C₂³	1	8	yes	—
258	#13093994	C₂³	1	16	yes	complemented
259	#13093994	C₂³	1	16	yes	complemented
260	#13093994	C₂³	1	16	yes	complemented
261	#13093994	C₂³	1	16	yes	complemented
262	#13093994	C₂³	1	8	yes	complemented
263	#13093994	C₂³	1	16	yes	complemented
264	#13093992	C₂³	1	16	yes	complemented
265	C₄×D₁₈₈	C₂³	1	8	yes	—
266	C₄×D₁₈₈	C₂³	1	8	yes	complemented
267	C₄×D₁₈₈	C₂³	1	8	yes	complemented
268	C₄×D₁₈₈	C₂³	1	8	yes	complemented
269	C₄×D₁₈₈	C₂³	1	8	yes	complemented
270	C₄×D₁₈₈	C₂³	1	16	yes	complemented
271	C₄×D₁₈₈	C₂³	1	8	yes	complemented
272	#13093986	C₂³	1	16	yes	complemented
273	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
274	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
275	#13093982	C₂³	1	16	yes	complemented
276	#13093982	C₂³	1	8	yes	complemented
277	#13093982	C₂³	1	8	yes	complemented
278	#13093981	C₂³	1	16	yes	complemented
279	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
285	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
286	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
287	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
288	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
289	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
290	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
291	C₄⋊C₄×D₄₇	C₂³	1	8	yes	complemented
292	C₄⋊C₄×D₄₇	C₂³	1	8	yes	complemented
293	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
294	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	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	2	yes	—
304	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
312	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
313	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
314	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
315	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
316	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
317	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
318	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
319	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
320	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
321	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
322	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
324	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
326	C₄⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
327	#126×C₄₇	C₂³	1	16	yes	complemented
328	#124×C₄₇	C₂³	1	8	yes	complemented
329	#124×C₄₇	C₂³	1	16	yes	complemented
330	#123×C₄₇	C₂³	1	16	yes	complemented
331	C₂²⋊Q₈×C₄₇	C₂³	1	16	yes	complemented
332	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
333	#121×C₄₇	C₂³	1	8	yes	—
334	C₄×Q₈×C₄₇	C₂³	1	8	yes	complemented
335	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
336	#117×C₄₇	C₂³	1	8	yes	complemented
337	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
350	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
351	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
354	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
355	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
356	C₂³×D₄₇	—	2	4	no	—
357	C₂³×D₄₇	—	2	8	no	—
358	C₂³×D₄₇	—	4	2	no	—
359	C₂³×D₄₇	—	4	2	no	—
360	C₂³×D₄₇	—	4	4	no	—
361	C₂³×D₄₇	—	4	4	no	—
362	C₂³×D₄₇	—	4	4	no	—
363	C₂³×D₄₇	—	4	4	no	—
364	C₂³×D₄₇	—	4	4	no	—
365	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
366	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
367	C₂³×D₄₇	C₂⁴	1	2	yes	—
368	C₂³×D₄₇	C₂⁴	1	2	yes	—
369	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
370	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
371	C₂³×D₄₇	C₂⁴	1	8	yes	—
372	C₂³×D₄₇	C₂⁴	1	4	yes	—
373	C₂³×D₄₇	C₂⁴	1	8	yes	—
374	C₂×Q₈×C₄₇	—	2	4	no	—
375	C₂×Q₈×C₄₇	—	4	4	no	—
376	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
377	C₂×Q₈×C₄₇	C₂⁴	1	8	yes	—
378	C₂×D₄×C₄₇	—	2	4	no	—
379	C₂×D₄×C₄₇	—	4	4	no	—
380	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
381	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
382	C₂²×C₄×C₄₇	—	2	4	no	—
383	C₂²×C₄×C₄₇	—	4	4	no	—
384	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
387	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
390	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂×C₂²⋊D₄₇	—	4	4	no	—
396	C₂×C₂²⋊D₄₇	—	4	4	no	—
397	C₂×C₂²⋊D₄₇	—	4	4	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	2	no	—
402	C₂×C₂²⋊D₄₇	—	4	2	no	—
403	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
405	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
406	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
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	C₂²×Dic₄₇	—	4	2	no	—
412	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
413	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
418	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
419	#10625354	—	4	32	no	—
420	#10625354	—	4	16	no	—
421	#10625354	—	4	16	no	—
422	D₄×D₄₇	—	4	16	no	—
423	D₄×D₄₇	—	4	16	no	—
424	D₄×D₄₇	—	4	32	no	—
425	#10625350	—	4	16	no	—
426	C₂×D₁₈₈	—	2	4	no	—
427	C₂×D₁₈₈	—	2	8	no	—
428	C₂×D₁₈₈	—	2	4	no	—
429	C₂×D₁₈₈	—	2	4	no	—
430	C₂×D₁₈₈	—	2	4	no	—
431	C₂×D₁₈₈	—	4	32	no	—
432	C₂×D₁₈₈	—	4	4	no	—
433	C₂×D₁₈₈	—	4	4	no	—
434	C₂×D₁₈₈	—	4	4	no	—
435	C₂×D₁₈₈	—	4	2	no	—
436	C₂×D₁₈₈	—	4	4	no	—
437	C₂×D₁₈₈	—	4	2	no	—
438	C₂×D₁₈₈	—	4	2	no	—
439	C₂×D₁₈₈	—	4	4	no	—
440	C₂×D₁₈₈	—	4	4	no	—
441	C₂×D₁₈₈	—	4	4	no	—
442	C₂×D₁₈₈	C₂⁴	1	8	yes	—
443	C₂×D₁₈₈	C₂⁴	1	4	yes	—
444	C₂×D₁₈₈	C₂⁴	1	4	yes	—
445	C₂×D₁₈₈	C₂⁴	1	4	yes	—
446	C₂×D₁₈₈	C₂⁴	1	4	yes	—
447	C₂×D₁₈₈	C₂⁴	1	4	yes	—
448	C₂×D₁₈₈	C₂⁴	1	8	yes	—
449	C₂×D₁₈₈	C₂⁴	1	4	yes	—
450	C₂×D₁₈₈	C₂⁴	1	8	yes	—
451	C₂×D₁₈₈	C₂⁴	1	4	yes	—
452	C₂×D₁₈₈	C₂⁴	1	8	yes	—
453	C₂×D₁₈₈	C₂⁴	1	8	yes	—
454	C₂×D₁₈₈	C₂⁴	1	8	yes	—
455	C₂×D₁₈₈	C₂⁴	1	8	yes	—
456	C₂×D₁₈₈	C₂⁴	1	8	yes	—
457	C₂×C₄×D₄₇	—	2	8	no	—
458	C₂×C₄×D₄₇	—	2	4	no	—
459	C₂×C₄×D₄₇	—	2	4	no	—
460	C₂×C₄×D₄₇	—	2	4	no	—
461	C₂×C₄×D₄₇	—	2	4	no	—
462	C₂×C₄×D₄₇	—	4	16	no	—
463	C₂×C₄×D₄₇	—	4	2	no	—
464	C₂×C₄×D₄₇	—	4	2	no	—
465	C₂×C₄×D₄₇	—	4	4	no	—
466	C₂×C₄×D₄₇	—	4	4	no	—
467	C₂×C₄×D₄₇	—	4	4	no	—
468	C₂×C₄×D₄₇	—	4	4	no	—
469	C₂×C₄×D₄₇	—	4	4	no	—
470	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
471	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
472	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
473	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
474	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
475	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
476	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
477	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
478	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
479	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
480	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
481	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
482	C₂×Dic₉₄	—	4	2	no	—
483	C₂×Dic₉₄	C₂⁴	1	4	yes	—
484	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
485	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
486	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
487	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
488	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
489	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
490	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
491	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
492	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
493	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
494	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
495	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
496	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
497	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
498	C₄²×C₄₇	C₂⁴	1	4	yes	—
499	C₄²×C₄₇	C₂⁴	1	4	yes	—
500	C₄²×C₄₇	C₂⁴	1	8	yes	—
501	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
502	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
503	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
504	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
505	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
506	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
507	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
508	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
509	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
510	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
511	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
512	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
513	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
514	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
515	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
516	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
517	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
518	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
519	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
520	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
521	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
522	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
523	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
524	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
525	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
526	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
527	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
528	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
529	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
530	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
531	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
532	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
533	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
534	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
535	C₄×Dic₄₇	C₂⁴	1	8	yes	—
536	C₄×Dic₄₇	C₂⁴	1	8	yes	—
537	C₂³×C₄₇	—	2	2	no	—
538	C₂³×C₄₇	—	2	4	no	—
539	C₂³×C₄₇	—	2	2	no	—
540	C₂³×C₄₇	—	2	4	no	—
541	C₂³×C₄₇	—	2	2	no	—
542	C₂³×C₄₇	—	2	4	no	—
543	C₂³×C₄₇	C₂⁵	1	4	yes	—
544	C₂³×C₄₇	C₂⁵	1	2	yes	—
545	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
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	—	2	4	no	—
553	C₂²×D₄₇	—	2	4	no	—
554	C₂²×D₄₇	—	2	4	no	—
555	C₂²×D₄₇	—	2	2	no	—
556	C₂²×D₄₇	—	2	4	no	—
557	C₂²×D₄₇	—	2	2	no	—
558	C₂²×D₄₇	—	2	4	no	—
559	C₂²×D₄₇	—	2	2	no	—
560	C₂²×D₄₇	—	2	2	no	—
561	C₂²×D₄₇	—	2	4	no	—
562	C₂²×D₄₇	—	2	2	no	—
563	C₂²×D₄₇	—	2	8	no	—
564	C₂²×D₄₇	—	2	16	no	—
565	C₂²×D₄₇	—	4	4	no	—
566	C₂²×D₄₇	—	4	4	no	—
567	C₂²×D₄₇	—	4	8	no	—
568	C₂²×D₄₇	—	4	8	no	—
569	C₂²×D₄₇	—	4	8	no	—
570	C₂²×D₄₇	—	4	8	no	—
571	C₂²×D₄₇	—	4	8	no	—
572	C₂²×D₄₇	—	4	16	no	—
573	C₂²×D₄₇	—	8	16	no	—
574	C₂²×D₄₇	—	8	16	no	—
575	C₂²×D₄₇	H(5,𝔽₂)	1	4	yes	—
576	C₂²×D₄₇	C₂⁵	1	2	yes	—
577	C₂²×D₄₇	C₂⁵	1	2	yes	—
578	C₂²×D₄₇	C₂⁵	1	4	yes	—
579	C₂²×D₄₇	C₂⁵	1	4	yes	—
580	C₂²×D₄₇	C₂⁵	1	2	yes	—
581	C₂²×D₄₇	C₂⁵	1	2	yes	—
582	Q₈×C₄₇	—	2	8	no	—
583	Q₈×C₄₇	—	4	8	no	—
584	D₄×C₄₇	—	2	8	no	—
585	D₄×C₄₇	—	4	8	no	—
586	C₂×C₄×C₄₇	—	2	2	no	—
587	C₂×C₄×C₄₇	—	2	4	no	—
588	C₂×C₄×C₄₇	—	2	2	no	—
589	C₂×C₄×C₄₇	—	2	4	no	—
590	C₂×C₄×C₄₇	—	2	4	no	—
591	C₂×C₄×C₄₇	—	2	2	no	—
592	C₂×C₄×C₄₇	—	2	2	no	—
593	C₂×C₄×C₄₇	—	2	2	no	—
594	C₂×C₄×C₄₇	—	2	8	no	—
595	C₂×C₄×C₄₇	—	4	8	no	—
596	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
597	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
598	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
599	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
600	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
601	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
602	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
603	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
604	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
605	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
606	C₂²⋊D₄₇	—	4	4	no	—
607	C₂²⋊D₄₇	—	4	4	no	—
608	C₂²⋊D₄₇	—	4	8	no	—
609	C₂²⋊D₄₇	—	4	8	no	—
610	C₂²⋊D₄₇	—	4	8	no	—
611	C₂²⋊D₄₇	—	4	8	no	—
612	C₂²⋊D₄₇	—	4	8	no	—
613	C₂²⋊D₄₇	—	4	8	no	—
614	C₂×Dic₄₇	—	2	2	no	—
615	C₂×Dic₄₇	—	2	2	no	—
616	C₂×Dic₄₇	—	2	2	no	—
617	C₂×Dic₄₇	—	2	4	no	—
618	C₂×Dic₄₇	—	2	2	no	—
619	C₂×Dic₄₇	—	2	4	no	—
620	C₂×Dic₄₇	—	4	4	no	—
621	C₂×Dic₄₇	C₂⁵	1	4	yes	—
622	C₂×Dic₄₇	C₂⁵	1	2	yes	—
623	C₂×Dic₄₇	C₂⁵	1	2	yes	—
624	C₂×Dic₄₇	C₂⁵	1	4	yes	—
625	C₂×Dic₄₇	C₂⁵	1	2	yes	—
626	C₂×Dic₄₇	C₂⁵	1	2	yes	—
627	D₁₈₈	—	2	8	no	—
628	D₁₈₈	—	2	16	no	—
629	D₁₈₈	—	2	8	no	—
630	D₁₈₈	—	2	8	no	—
631	D₁₈₈	—	2	8	no	—
632	D₁₈₈	—	4	8	no	—
633	D₁₈₈	—	4	8	no	—
634	D₁₈₈	—	4	4	no	—
635	D₁₈₈	—	4	8	no	—
636	D₁₈₈	—	4	4	no	—
637	D₁₈₈	—	4	4	no	—
638	D₁₈₈	—	4	8	no	—
639	D₁₈₈	—	4	8	no	—
640	D₁₈₈	—	4	8	no	—
641	D₁₈₈	—	4	8	no	—
642	C₄×D₄₇	—	2	16	no	—
643	C₄×D₄₇	—	2	8	no	—
644	C₄×D₄₇	—	2	8	no	—
645	C₄×D₄₇	—	2	8	no	—
646	C₄×D₄₇	—	2	8	no	—
647	C₄×D₄₇	—	4	4	no	—
648	C₄×D₄₇	—	4	4	no	—
649	C₄×D₄₇	—	4	8	no	—
650	C₄×D₄₇	—	4	8	no	—
651	C₄×D₄₇	—	4	8	no	—
652	C₄×D₄₇	—	4	8	no	—
653	C₄×D₄₇	—	4	8	no	—
654	Dic₉₄	—	4	4	no	—
655	C₂×#3542	—	47	1	no	maximal, Sylow
656	C₂²×C₄₇	—	2	2	no	—
657	C₂²×C₄₇	—	2	4	no	—
658	C₂²×C₄₇	—	2	2	no	—
659	C₂²×C₄₇	—	2	4	no	—
660	C₂²×C₄₇	—	2	2	no	—
661	C₂²×C₄₇	—	2	4	no	—
662	C₂²×C₄₇	—	4	4	no	—
663	C₂²×C₄₇	—	4	8	no	—
664	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
665	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
666	C₂²×C₄₇	#585	1	2	yes	—
667	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
668	C₂×D₄₇	—	2	2	no	—
669	C₂×D₄₇	—	2	2	no	—
670	C₂×D₄₇	—	2	8	no	—
671	C₂×D₄₇	—	2	2	no	—
672	C₂×D₄₇	—	2	2	no	—
673	C₂×D₄₇	—	2	2	no	—
674	C₂×D₄₇	—	2	2	no	—
675	C₂×D₄₇	—	2	4	no	—
676	C₂×D₄₇	—	2	4	no	—
677	C₂×D₄₇	—	2	4	no	—
678	C₂×D₄₇	—	2	2	no	—
679	C₂×D₄₇	—	2	4	no	—
680	C₂×D₄₇	—	2	2	no	—
681	C₂×D₄₇	—	2	4	no	—
682	C₂×D₄₇	—	2	2	no	—
683	C₂×D₄₇	—	2	2	no	—
684	C₂×D₄₇	—	2	4	no	—
685	C₂×D₄₇	—	2	2	no	—
686	C₂×D₄₇	—	4	16	no	—
687	C₂×D₄₇	—	4	4	no	—
688	C₂×D₄₇	—	4	4	no	—
689	C₂×D₄₇	—	4	8	no	—
690	C₂×D₄₇	—	4	8	no	—
691	C₂×D₄₇	—	4	4	no	—
692	C₂×D₄₇	—	8	16	no	—
693	C₂×D₄₇	—	8	16	no	—
694	C₂×D₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
695	C₄×C₄₇	—	2	2	no	—
696	C₄×C₄₇	—	2	4	no	—
697	C₄×C₄₇	—	2	2	no	—
698	C₄×C₄₇	—	2	4	no	—
699	C₄×C₄₇	—	2	4	no	—
700	C₄×C₄₇	—	2	2	no	—
701	C₄×C₄₇	—	2	2	no	—
702	C₄×C₄₇	—	2	2	no	—
703	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
704	Dic₄₇	—	2	2	no	—
705	Dic₄₇	—	2	2	no	—
706	Dic₄₇	—	2	2	no	—
707	Dic₄₇	—	2	4	no	—
708	Dic₄₇	—	2	2	no	—
709	Dic₄₇	—	2	4	no	—
710	#3542	—	47	32	no	—
711	C₂×#562	—	47	2	no	—
712	C₂×#560	—	47	2	no	—
713	C₂×#555	—	47	1	no	—
714	C₂×#553	—	47	1	no	—
715	C₂×#552	—	47	1	no	—
716	C₂×#551	—	47	2	no	—
717	C₂×#550	—	47	1	no	—
718	C₂×#547	—	47	1	no	—
719	C₂×#546	—	47	1	no	—
720	C₂×#546	—	47	1	no	—
721	C₂×#546	—	47	2	no	—
722	C₂×D₄²	—	47	1	no	—
723	C₂×#542	D₄₇	1	1	yes	characteristic, complemented
724	C₂×#540	—	47	2	no	—
725	C₂×#540	—	47	1	no	—
726	C₂×#538	—	47	2	no	—
727	C₂×#537	—	47	1	no	—
728	C₂×#535	—	47	2	no	—
729	C₂×#535	—	47	1	no	—
730	C₂×#534	—	47	2	no	—
731	C₂×#525	—	47	1	no	—
732	C₂×#525	—	47	1	no	—
733	C₂²×#121	—	47	1	no	—
734	C₂×C₄₇	—	4	2	no	—
735	C₂×C₄₇	—	4	4	no	—
736	C₂×C₄₇	#3542	1	4	yes	complemented
737	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
739	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
740	D₄₇	—	2	4	no	—
741	D₄₇	—	4	2	no	—
742	D₄₇	—	4	2	no	—
743	D₄₇	—	4	4	no	—
744	D₄₇	—	4	4	no	—
745	D₄₇	—	4	2	no	—
746	C₂²×#41	—	47	1	no	—
747	C₂²×#41	—	47	2	no	—
748	C₂²×#41	—	47	1	no	—
749	C₂²×#41	—	47	1	no	—
750	C₂³×D₄	—	47	2	no	—
751	C₂³×D₄	—	47	1	no	—
752	C₂³×D₄	—	47	1	no	—
753	C₂³×D₄	—	47	2	no	—
754	C₂⁴×C₄	—	47	1	no	—
755	#562	—	47	32	no	—
756	#560	—	47	32	no	—
757	#555	—	47	16	no	—
758	#553	—	47	16	no	—
759	#552	—	47	16	no	—
760	#551	—	47	32	no	—
761	#550	—	47	16	no	—
762	#547	—	47	16	no	—
763	#546	—	47	16	no	—
764	#546	—	47	16	no	—
765	#546	—	47	32	no	—
766	D₄²	—	47	16	no	—
767	#542	C₂×D₄₇	1	16	yes	complemented
768	#540	—	47	32	no	—
769	#540	—	47	16	no	—
770	#538	—	47	32	no	—
771	#537	—	47	16	no	—
772	#535	—	47	32	no	—
773	#535	—	47	16	no	—
774	#534	—	47	32	no	—
775	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
776	C₂×#127	—	47	2	no	—
777	C₂×#127	—	47	2	no	—
778	C₂×#127	—	47	1	no	—
779	C₂×#126	—	47	2	no	—
780	C₂×#126	—	47	2	no	—
781	C₂×#126	C₂×D₄₇	1	2	yes	complemented
782	C₂×#125	—	47	2	no	—
783	C₂×#125	—	47	1	no	—
784	C₂×#124	—	47	2	no	—
785	C₂×#124	—	47	2	no	—
786	C₂×#124	—	47	2	no	—
787	C₂×#124	C₂×D₄₇	1	2	yes	complemented
788	C₂×#124	C₂×D₄₇	1	1	yes	characteristic, complemented
789	#525	—	47	16	no	—
790	#525	—	47	16	no	—
791	C₂×#123	—	47	2	no	—
792	C₂×#123	—	47	2	no	—
793	C₂×#123	—	47	2	no	—
794	C₂×#123	—	47	2	no	—
795	C₂×#123	—	47	2	no	—
796	C₂×#123	—	47	2	no	—
797	C₂×#123	—	47	2	no	—
798	C₂×#123	—	47	1	no	—
799	C₂×#123	—	47	1	no	—
800	C₂×#123	—	47	2	no	—
801	C₂×#123	—	47	2	no	—
802	C₂×#123	C₂×D₄₇	1	2	yes	complemented
803	C₂×C₂²⋊Q₈	—	47	1	no	—
804	C₂×C₂²⋊Q₈	—	47	1	no	—
805	C₂×C₂²⋊Q₈	—	47	2	no	—
806	C₂×C₂²⋊Q₈	—	47	1	no	—
807	C₂×C₂²⋊Q₈	—	47	1	no	—
808	C₂×C₂²⋊Q₈	—	47	2	no	—
809	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
810	C₂×C₂²⋊Q₈	C₂×D₄₇	1	2	yes	complemented
811	C₂×#121	—	47	2	no	—
812	C₂×#121	—	47	1	no	—
813	C₂×#121	—	47	1	no	—
814	C₂×#121	—	47	1	no	—
815	C₂×#121	—	47	1	no	—
816	C₂×#121	—	47	2	no	—
817	C₂×#121	—	47	16	no	—
818	C₂×#121	—	47	1	no	—
819	C₂×#121	—	47	1	no	—
820	C₂×#121	—	47	1	no	—
821	C₂×#121	—	47	1	no	—
822	C₂×#121	—	47	2	no	—
823	C₂×#121	—	47	2	no	—
824	C₂×#121	—	47	1	no	—
825	C₂×#121	—	47	1	no	—
826	C₂×#121	—	47	2	no	—
827	C₂×#121	—	47	2	no	—
828	C₂×#121	—	47	2	no	—
829	C₂×#121	—	47	2	no	—
830	C₂×#121	—	47	2	no	—
831	C₂×#121	—	47	2	no	—
832	C₂×#121	—	47	2	no	—
833	C₂×#121	—	47	2	no	—
834	C₂×#121	—	47	2	no	—
835	C₂×#121	—	47	2	no	—
836	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
837	C₂×#120	—	47	2	no	—
838	C₂×#120	—	47	1	no	—
839	C₂×#120	—	47	2	no	—
840	C₂×#120	—	47	1	no	—
841	C₂×#120	—	47	2	no	—
842	C₂×#120	—	47	2	no	—
843	C₂×#120	—	47	2	no	—
844	C₂×#120	—	47	2	no	—
845	C₂×#120	—	47	2	no	—
846	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
847	C₂×C₄×D₄	—	47	2	no	—
848	C₂×C₄×D₄	—	47	2	no	—
849	C₂×C₄×D₄	—	47	2	no	—
850	C₂×C₄×D₄	—	47	1	no	—
851	C₂×C₄×D₄	—	47	1	no	—
852	C₂×C₄×D₄	—	47	1	no	—
853	C₂×C₄×D₄	—	47	1	no	—
854	C₂×C₄×D₄	—	47	2	no	—
855	C₂×C₄×D₄	—	47	1	no	—
856	C₂×C₄×D₄	—	47	1	no	—
857	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
858	C₂×#117	—	47	1	no	—
859	C₂×#117	—	47	1	no	—
860	C₂×#117	—	47	2	no	—
861	C₂×#117	—	47	2	no	—
862	C₂×#117	C₂×D₄₇	1	1	yes	characteristic, complemented
863	C₂²×C₄⋊C₄	—	47	1	no	—
864	C₂²×C₄⋊C₄	—	47	1	no	—
865	C₂²×C₂²⋊C₄	—	47	2	no	—
866	C₂²×C₂²⋊C₄	—	47	2	no	—
867	C₂²×C₂²⋊C₄	—	47	2	no	—
868	C₄₇	C₂×#3542	1	1	yes	characteristic, complemented, Sylow
869	C₂⁵	—	47	2	no	—
870	C₂⁵	—	47	1	no	—
871	C₂⁵	—	47	2	no	—
872	C₂×#41	—	47	8	no	—
873	C₂×#41	—	47	16	no	—
874	C₂×#41	—	47	8	no	—
875	C₂×#41	—	47	8	no	—
876	C₂×#41	—	188	4	no	—
877	C₂×#41	—	188	8	no	—
878	C₂×#41	—	188	4	no	—
879	C₂×#41	—	188	4	no	—
880	C₂²×Q₈	—	47	1	no	—
881	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
882	C₂²×Q₈	C₂²×D₄₇	1	2	yes	—
883	C₂²×D₄	—	47	2	no	—
884	C₂²×D₄	—	47	2	no	—
885	C₂²×D₄	—	47	1	no	—
886	C₂²×D₄	—	47	2	no	—
887	C₂²×D₄	—	47	2	no	—
888	C₂²×D₄	—	47	2	no	—
889	C₂²×D₄	—	47	1	no	—
890	C₂²×D₄	—	47	2	no	—
891	C₂²×D₄	—	47	16	no	—
892	C₂²×D₄	—	47	8	no	—
893	C₂²×D₄	—	47	8	no	—
894	C₂²×D₄	—	47	1	no	—
895	C₂²×D₄	—	47	2	no	—
896	C₂²×D₄	—	47	1	no	—
897	C₂²×D₄	—	47	1	no	—
898	C₂²×D₄	—	47	1	no	—
899	C₂²×D₄	—	47	1	no	—
900	C₂²×D₄	—	47	2	no	—
901	C₂²×D₄	—	47	1	no	—
902	C₂²×D₄	—	47	1	no	—
903	C₂²×D₄	—	47	2	no	—
904	C₂²×D₄	—	47	2	no	—
905	C₂²×D₄	—	47	2	no	—
906	C₂²×D₄	—	47	2	no	—
907	C₂²×D₄	—	47	2	no	—
908	C₂²×D₄	—	47	2	no	—
909	C₂²×D₄	—	47	16	no	—
910	C₂²×D₄	—	188	8	no	—
911	C₂²×D₄	—	188	4	no	—
912	C₂²×D₄	—	188	4	no	—
913	C₂²×D₄	—	188	8	no	—
914	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
915	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
916	C₂³×C₄	—	47	1	no	—
917	C₂³×C₄	—	47	2	no	—
918	C₂³×C₄	—	47	1	no	—
919	C₂³×C₄	—	47	1	no	—
920	C₂³×C₄	—	47	1	no	—
921	C₂³×C₄	—	47	1	no	—
922	C₂³×C₄	—	47	1	no	—
923	C₂³×C₄	—	47	2	no	—
924	C₂³×C₄	—	47	2	no	—
925	C₂³×C₄	—	47	2	no	—
926	C₂³×C₄	—	47	2	no	—
927	C₂³×C₄	—	47	2	no	—
928	C₂³×C₄	—	47	1	no	—
929	C₂³×C₄	—	47	8	no	—
930	C₂³×C₄	—	188	4	no	—
931	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
932	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
933	C₄⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
934	#127	—	47	16	no	—
935	#127	—	47	16	no	—
936	#127	—	47	8	no	—
937	#126	—	47	16	no	—
938	#126	—	47	16	no	—
939	#126	C₂²×D₄₇	1	16	yes	complemented
940	#125	—	47	16	no	—
941	#125	—	47	8	no	—
942	#124	—	47	16	no	—
943	#124	—	47	16	no	—
944	#124	—	47	16	no	—
945	#124	C₂²×D₄₇	1	16	yes	complemented
946	#124	C₂²×D₄₇	1	8	yes	complemented
947	#123	—	47	16	no	—
948	#123	—	47	16	no	—
949	#123	—	47	16	no	—
950	#123	—	47	16	no	—
951	#123	—	47	16	no	—
952	#123	—	47	16	no	—
953	#123	—	47	16	no	—
954	#123	—	47	8	no	—
955	#123	—	47	8	no	—
956	#123	—	47	16	no	—
957	#123	—	47	16	no	—
958	#123	C₂²×D₄₇	1	16	yes	complemented
959	C₂²⋊Q₈	—	47	8	no	—
960	C₂²⋊Q₈	—	47	8	no	—
961	C₂²⋊Q₈	—	47	16	no	—
962	C₂²⋊Q₈	—	47	8	no	—
963	C₂²⋊Q₈	—	47	8	no	—
964	C₂²⋊Q₈	—	47	16	no	—
965	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
966	C₂²⋊Q₈	C₂²×D₄₇	1	16	yes	complemented
967	#121	—	47	16	no	—
968	#121	—	47	8	no	—
969	#121	—	47	8	no	—
970	#121	—	47	8	no	—
971	#121	—	47	8	no	—
972	#121	—	47	16	no	—
973	#121	—	47	8	no	—
974	#121	—	47	8	no	—
975	#121	—	47	8	no	—
976	#121	—	47	8	no	—
977	#121	—	47	16	no	—
978	#121	—	47	16	no	—
979	#121	—	47	8	no	—
980	#121	—	47	8	no	—
981	#121	—	47	16	no	—
982	#121	—	47	16	no	—
983	#121	—	47	16	no	—
984	#121	—	47	16	no	—
985	#121	—	47	16	no	—
986	#121	—	47	16	no	—
987	#121	—	47	16	no	—
988	#121	—	47	16	no	—
989	#121	—	47	16	no	—
990	#121	—	47	16	no	—
991	#121	C₂²×D₄₇	1	8	yes	—
992	#120	—	47	16	no	—
993	#120	—	47	8	no	—
994	#120	—	47	16	no	—
995	#120	—	47	8	no	—
996	#120	—	47	16	no	—
997	#120	—	47	16	no	—
998	#120	—	47	16	no	—
999	#120	—	47	16	no	—
1000	#120	—	47	16	no	—
1001	C₄×Q₈	C₂²×D₄₇	1	8	yes	complemented
1002	C₄×D₄	—	47	16	no	—
1003	C₄×D₄	—	47	16	no	—
1004	C₄×D₄	—	47	16	no	—
1005	C₄×D₄	—	47	8	no	—
1006	C₄×D₄	—	47	8	no	—
1007	C₄×D₄	—	47	8	no	—
1008	C₄×D₄	—	47	8	no	—
1009	C₄×D₄	—	47	16	no	—
1010	C₄×D₄	—	47	8	no	—
1011	C₄×D₄	—	47	8	no	—
1012	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
1013	#117	—	47	8	no	—
1014	#117	—	47	8	no	—
1015	#117	—	47	16	no	—
1016	#117	—	47	16	no	—
1017	#117	C₂²×D₄₇	1	8	yes	complemented
1018	C₂×C₄⋊C₄	—	47	1	no	—
1019	C₂×C₄⋊C₄	—	47	2	no	—
1020	C₂×C₄⋊C₄	—	47	2	no	—
1021	C₂×C₄⋊C₄	—	47	1	no	—
1022	C₂×C₄⋊C₄	—	47	1	no	—
1023	C₂×C₄⋊C₄	—	47	2	no	—
1024	C₂×C₄⋊C₄	—	47	2	no	—
1025	C₂×C₄⋊C₄	—	47	1	no	—
1026	C₂×C₄⋊C₄	—	47	1	no	—
1027	C₂×C₄⋊C₄	—	47	2	no	—
1028	C₂×C₄⋊C₄	—	47	2	no	—
1029	C₂×C₄⋊C₄	—	47	1	no	—
1030	C₂×C₄⋊C₄	—	47	8	no	—
1031	C₂×C₄⋊C₄	—	47	8	no	—
1032	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
1035	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
1038	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
1039	C₂×C₂²⋊C₄	—	47	2	no	—
1040	C₂×C₂²⋊C₄	—	47	2	no	—
1041	C₂×C₂²⋊C₄	—	47	1	no	—
1042	C₂×C₂²⋊C₄	—	47	1	no	—
1043	C₂×C₂²⋊C₄	—	47	2	no	—
1044	C₂×C₂²⋊C₄	—	47	2	no	—
1045	C₂×C₂²⋊C₄	—	47	2	no	—
1046	C₂×C₂²⋊C₄	—	47	2	no	—
1047	C₂×C₂²⋊C₄	—	47	1	no	—
1048	C₂×C₂²⋊C₄	—	47	2	no	—
1049	C₂×C₂²⋊C₄	—	47	2	no	—
1050	C₂×C₂²⋊C₄	—	47	2	no	—
1051	C₂×C₂²⋊C₄	—	47	1	no	—
1052	C₂×C₂²⋊C₄	—	47	1	no	—
1053	C₂×C₂²⋊C₄	—	47	1	no	—
1054	C₂×C₂²⋊C₄	—	47	2	no	—
1055	C₂×C₂²⋊C₄	—	47	2	no	—
1056	C₂×C₂²⋊C₄	—	47	1	no	—
1057	C₂×C₂²⋊C₄	—	47	2	no	—
1058	C₂×C₂²⋊C₄	—	47	2	no	—
1059	C₂×C₂²⋊C₄	—	47	2	no	—
1060	C₂×C₂²⋊C₄	—	47	1	no	—
1061	C₂×C₂²⋊C₄	—	47	16	no	—
1062	C₂×C₂²⋊C₄	—	47	16	no	—
1063	C₂×C₂²⋊C₄	—	47	16	no	—
1064	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1065	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1066	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1067	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1070	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1071	C₂×C₄²	—	47	2	no	—
1072	C₂×C₄²	—	47	2	no	—
1073	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
1074	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1075	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1076	C₂⁴	—	47	1	no	—
1077	C₂⁴	—	47	1	no	—
1078	C₂⁴	—	47	2	no	—
1079	C₂⁴	—	47	1	no	—
1080	C₂⁴	—	47	2	no	—
1081	C₂⁴	—	47	1	no	—
1082	C₂⁴	—	47	8	no	—
1083	C₂⁴	—	47	4	no	—
1084	C₂⁴	—	47	8	no	—
1085	C₂⁴	—	94	8	no	—
1086	C₂⁴	—	94	4	no	—
1087	C₂⁴	—	188	4	no	—
1088	C₂⁴	—	188	4	no	—
1089	C₂⁴	—	188	4	no	—
1090	C₂⁴	—	188	4	no	—
1091	C₂⁴	—	188	4	no	—
1092	C₂⁴	—	188	2	no	—
1093	C₂⁴	—	188	2	no	—
1094	C₂⁴	C₂³×D₄₇	1	2	yes	—
1095	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1096	#41	—	188	16	no	—
1097	#41	—	188	32	no	—
1098	#41	—	188	16	no	—
1099	#41	—	188	16	no	—
1100	C₂×Q₈	—	2	4	no	—
1101	C₂×Q₈	—	4	4	no	—
1102	C₂×Q₈	—	47	4	no	—
1103	C₂×Q₈	—	188	2	no	—
1104	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1105	C₂×Q₈	C₂³×D₄₇	1	8	yes	—
1106	C₂×D₄	—	2	4	no	—
1107	C₂×D₄	—	4	4	no	—
1108	C₂×D₄	—	47	8	no	—
1109	C₂×D₄	—	47	8	no	—
1110	C₂×D₄	—	47	4	no	—
1111	C₂×D₄	—	47	8	no	—
1112	C₂×D₄	—	47	8	no	—
1113	C₂×D₄	—	47	8	no	—
1114	C₂×D₄	—	47	4	no	—
1115	C₂×D₄	—	47	8	no	—
1116	C₂×D₄	—	47	4	no	—
1117	C₂×D₄	—	47	8	no	—
1118	C₂×D₄	—	47	4	no	—
1119	C₂×D₄	—	47	4	no	—
1120	C₂×D₄	—	47	4	no	—
1121	C₂×D₄	—	47	4	no	—
1122	C₂×D₄	—	47	8	no	—
1123	C₂×D₄	—	47	4	no	—
1124	C₂×D₄	—	47	4	no	—
1125	C₂×D₄	—	47	8	no	—
1126	C₂×D₄	—	47	8	no	—
1127	C₂×D₄	—	47	8	no	—
1128	C₂×D₄	—	47	8	no	—
1129	C₂×D₄	—	47	8	no	—
1130	C₂×D₄	—	47	8	no	—
1131	C₂×D₄	—	94	4	no	—
1132	C₂×D₄	—	94	8	no	—
1133	C₂×D₄	—	94	4	no	—
1134	C₂×D₄	—	94	4	no	—
1135	C₂×D₄	—	94	4	no	—
1136	C₂×D₄	—	188	2	no	—
1137	C₂×D₄	—	188	4	no	—
1138	C₂×D₄	—	188	2	no	—
1139	C₂×D₄	—	188	4	no	—
1140	C₂×D₄	—	188	4	no	—
1141	C₂×D₄	—	188	4	no	—
1142	C₂×D₄	—	188	4	no	—
1143	C₂×D₄	—	188	2	no	—
1144	C₂×D₄	—	188	4	no	—
1145	C₂×D₄	—	188	4	no	—
1146	C₂×D₄	—	188	32	no	—
1147	C₂×D₄	—	188	16	no	—
1148	C₂×D₄	—	188	16	no	—
1149	C₂×D₄	—	188	32	no	—
1150	C₂×D₄	—	188	4	no	—
1151	C₂×D₄	—	188	4	no	—
1152	C₂×D₄	—	188	4	no	—
1153	C₂×D₄	—	188	4	no	—
1154	C₂×D₄	—	188	4	no	—
1155	C₂×D₄	—	188	4	no	—
1156	C₂×D₄	—	188	2	no	—
1157	C₂×D₄	—	188	2	no	—
1158	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1159	C₂×D₄	C₂³×D₄₇	1	8	yes	—
1160	C₂²×C₄	—	2	4	no	—
1161	C₂²×C₄	—	4	4	no	—
1162	C₂²×C₄	—	47	2	no	—
1163	C₂²×C₄	—	47	1	no	—
1164	C₂²×C₄	—	47	1	no	—
1165	C₂²×C₄	—	47	1	no	—
1166	C₂²×C₄	—	47	2	no	—
1167	C₂²×C₄	—	47	1	no	—
1168	C₂²×C₄	—	47	4	no	—
1169	C₂²×C₄	—	47	8	no	—
1170	C₂²×C₄	—	47	4	no	—
1171	C₂²×C₄	—	47	4	no	—
1172	C₂²×C₄	—	47	4	no	—
1173	C₂²×C₄	—	47	4	no	—
1174	C₂²×C₄	—	47	4	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	4	no	—
1181	C₂²×C₄	—	94	8	no	—
1182	C₂²×C₄	—	94	4	no	—
1183	C₂²×C₄	—	94	4	no	—
1184	C₂²×C₄	—	94	4	no	—
1185	C₂²×C₄	—	94	4	no	—
1186	C₂²×C₄	—	188	16	no	—
1187	C₂²×C₄	—	188	4	no	—
1188	C₂²×C₄	—	188	2	no	—
1189	C₂²×C₄	—	188	2	no	—
1190	C₂²×C₄	—	188	4	no	—
1191	C₂²×C₄	—	188	4	no	—
1192	C₂²×C₄	—	188	4	no	—
1193	C₂²×C₄	—	188	4	no	—
1194	C₂²×C₄	—	188	2	no	—
1195	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1196	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1197	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1198	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1202	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1203	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1204	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1205	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1206	C₄⋊C₄	—	47	8	no	—
1207	C₄⋊C₄	—	47	8	no	—
1208	C₄⋊C₄	—	47	8	no	—
1209	C₄⋊C₄	—	47	8	no	—
1210	C₄⋊C₄	—	47	8	no	—
1211	C₄⋊C₄	—	47	8	no	—
1212	C₄⋊C₄	—	47	4	no	—
1213	C₄⋊C₄	—	47	4	no	—
1214	C₄⋊C₄	—	47	4	no	—
1215	C₄⋊C₄	—	47	4	no	—
1216	C₄⋊C₄	—	47	4	no	—
1217	C₄⋊C₄	—	47	4	no	—
1218	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1219	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1220	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1221	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1222	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1223	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1224	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1225	C₂²⋊C₄	—	47	8	no	—
1226	C₂²⋊C₄	—	47	8	no	—
1227	C₂²⋊C₄	—	47	4	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	8	no	—
1233	C₂²⋊C₄	—	47	4	no	—
1234	C₂²⋊C₄	—	47	8	no	—
1235	C₂²⋊C₄	—	47	8	no	—
1236	C₂²⋊C₄	—	47	8	no	—
1237	C₂²⋊C₄	—	47	4	no	—
1238	C₂²⋊C₄	—	47	4	no	—
1239	C₂²⋊C₄	—	47	4	no	—
1240	C₂²⋊C₄	—	47	8	no	—
1241	C₂²⋊C₄	—	47	8	no	—
1242	C₂²⋊C₄	—	47	4	no	—
1243	C₂²⋊C₄	—	47	8	no	—
1244	C₂²⋊C₄	—	47	8	no	—
1245	C₂²⋊C₄	—	47	8	no	—
1246	C₂²⋊C₄	—	47	4	no	—
1247	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1248	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1249	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1250	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1251	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1252	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1253	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1254	C₄²	—	47	8	no	—
1255	C₄²	—	47	8	no	—
1256	C₄²	C₂³×D₄₇	1	8	yes	—
1257	C₄²	C₂³×D₄₇	1	4	yes	—
1258	C₄²	C₂³×D₄₇	1	4	yes	—
1259	C₂³	—	2	4	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	4	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	4	no	—
1265	C₂³	—	47	4	no	—
1266	C₂³	—	47	2	no	—
1267	C₂³	—	47	2	no	—
1268	C₂³	—	47	4	no	—
1269	C₂³	—	47	2	no	—
1270	C₂³	—	47	4	no	—
1271	C₂³	—	47	2	no	—
1272	C₂³	—	94	16	no	—
1273	C₂³	—	94	8	no	—
1274	C₂³	—	94	2	no	—
1275	C₂³	—	94	2	no	—
1276	C₂³	—	94	2	no	—
1277	C₂³	—	94	4	no	—
1278	C₂³	—	94	2	no	—
1279	C₂³	—	94	4	no	—
1280	C₂³	—	94	2	no	—
1281	C₂³	—	94	2	no	—
1282	C₂³	—	94	2	no	—
1283	C₂³	—	94	2	no	—
1284	C₂³	—	94	4	no	—
1285	C₂³	—	94	4	no	—
1286	C₂³	—	94	4	no	—
1287	C₂³	—	94	2	no	—
1288	C₂³	—	94	4	no	—
1289	C₂³	—	94	2	no	—
1290	C₂³	—	94	2	no	—
1291	C₂³	—	376	16	no	—
1292	C₂³	—	376	16	no	—
1293	C₂³	—	188	8	no	—
1294	C₂³	—	188	8	no	—
1295	C₂³	—	188	8	no	—
1296	C₂³	—	188	8	no	—
1297	C₂³	—	188	8	no	—
1298	C₂³	—	188	4	no	—
1299	C₂³	—	188	4	no	—
1300	C₂³	—	188	16	no	—
1301	C₂³	C₂⁴×D₄₇	1	4	yes	—
1302	C₂³	C₂⁴×D₄₇	1	2	yes	—
1303	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1304	Q₈	—	2	8	no	—
1305	Q₈	—	4	8	no	—
1306	Q₈	—	188	4	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	4	8	no	—
1309	D₄	—	94	8	no	—
1310	D₄	—	94	16	no	—
1311	D₄	—	94	8	no	—
1312	D₄	—	94	8	no	—
1313	D₄	—	94	8	no	—
1314	D₄	—	188	4	no	—
1315	D₄	—	188	8	no	—
1316	D₄	—	188	4	no	—
1317	D₄	—	188	8	no	—
1318	D₄	—	188	8	no	—
1319	D₄	—	188	8	no	—
1320	D₄	—	188	8	no	—
1321	D₄	—	188	4	no	—
1322	D₄	—	188	8	no	—
1323	D₄	—	188	8	no	—
1324	D₄	—	188	8	no	—
1325	D₄	—	188	8	no	—
1326	D₄	—	188	8	no	—
1327	D₄	—	188	8	no	—
1328	D₄	—	188	8	no	—
1329	D₄	—	188	8	no	—
1330	D₄	—	188	4	no	—
1331	D₄	—	188	4	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	4	no	—
1334	C₂×C₄	—	2	4	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	4	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	8	no	—
1341	C₂×C₄	—	4	8	no	—
1342	C₂×C₄	—	47	4	no	—
1343	C₂×C₄	—	47	2	no	—
1344	C₂×C₄	—	47	2	no	—
1345	C₂×C₄	—	47	2	no	—
1346	C₂×C₄	—	47	4	no	—
1347	C₂×C₄	—	47	2	no	—
1348	C₂×C₄	—	94	16	no	—
1349	C₂×C₄	—	94	4	no	—
1350	C₂×C₄	—	94	2	no	—
1351	C₂×C₄	—	94	2	no	—
1352	C₂×C₄	—	94	2	no	—
1353	C₂×C₄	—	94	2	no	—
1354	C₂×C₄	—	94	4	no	—
1355	C₂×C₄	—	94	8	no	—
1356	C₂×C₄	—	94	8	no	—
1357	C₂×C₄	—	94	8	no	—
1358	C₂×C₄	—	94	8	no	—
1359	C₂×C₄	—	188	8	no	—
1360	C₂×C₄	—	188	4	no	—
1361	C₂×C₄	—	188	4	no	—
1362	C₂×C₄	—	188	8	no	—
1363	C₂×C₄	—	188	8	no	—
1364	C₂×C₄	—	188	8	no	—
1365	C₂×C₄	—	188	8	no	—
1366	C₂×C₄	—	188	4	no	—
1367	C₂×C₄	#13094070	1	4	yes	—
1368	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1369	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1370	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1371	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1372	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1373	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1374	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1375	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1376	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1377	C₂²	—	2	4	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	4	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	4	no	—
1383	C₂²	—	4	8	no	—
1384	C₂²	—	4	4	no	—
1385	C₂²	—	47	4	no	—
1386	C₂²	—	94	2	no	—
1387	C₂²	—	94	2	no	—
1388	C₂²	—	94	8	no	—
1389	C₂²	—	94	2	no	—
1390	C₂²	—	94	4	no	—
1391	C₂²	—	94	2	no	—
1392	C₂²	—	94	4	no	—
1393	C₂²	—	94	2	no	—
1394	C₂²	—	94	2	no	—
1395	C₂²	—	94	2	no	—
1396	C₂²	—	94	2	no	—
1397	C₂²	—	94	4	no	—
1398	C₂²	—	94	4	no	—
1399	C₂²	—	94	4	no	—
1400	C₂²	—	94	2	no	—
1401	C₂²	—	94	4	no	—
1402	C₂²	—	94	2	no	—
1403	C₂²	—	94	2	no	—
1404	C₂²	—	376	16	no	—
1405	C₂²	—	376	16	no	—
1406	C₂²	—	188	16	no	—
1407	C₂²	—	188	4	no	—
1408	C₂²	—	188	8	no	—
1409	C₂²	—	188	8	no	—
1410	C₂²	—	188	4	no	—
1411	C₂²	—	188	4	no	—
1412	C₂²	H(5,𝔽₂)×D₄₇	1	2	yes	—
1413	C₂²	C₂×#13094070	1	2	yes	—
1414	C₂²	#15689960	1	2	yes	—
1415	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	4	no	—
1418	C₄	—	2	4	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	4	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	94	4	no	—
1425	C₄	—	94	2	no	—
1426	C₄	—	94	2	no	—
1427	C₄	—	94	2	no	—
1428	C₄	—	94	2	no	—
1429	C₄	—	94	4	no	—
1430	C₄	C₂×#13094070	1	4	yes	—
1431	C₂	—	4	4	no	—
1432	C₂	—	4	2	no	—
1433	C₂	—	94	4	no	—
1434	C₂	—	188	2	no	—
1435	C₂	—	188	4	no	—
1436	C₂	—	188	4	no	—
1437	C₂	—	188	2	no	—
1438	C₂	—	188	2	no	—
1439	C₂	#20257700	1	4	yes	direct product factor
1440	C₂	C₂×H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1441	C₂	C₂²×#13094070	1	1	yes	characteristic
1442	C₂	C₂×#15689960	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#542	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#542	D₄₇
hypocenter	C₄₇	C₂×#3542
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #20257700	C₂	direct (N × H)
2. C₂×#15689869	C₂	semidirect
3. C₂×#15689864	C₂	semidirect
4. C₂×#15689839	C₂	semidirect
5. C₂×#15689823	C₂	semidirect
6. C₂×#15689814	C₂	semidirect
7. C₂×#15689798	C₂	semidirect
8. C₂×#15689795	C₂	semidirect
9. C₂×#15689776	C₂	semidirect
10. C₂×#15689766	C₂	semidirect
11. C₂×#15689766	C₂	semidirect
12. C₂×#15689764	C₂	semidirect
13. C₂×D₄×D₁₈₈	C₂	semidirect
14. C₂×#15689728	C₂	semidirect
15. C₂×#15689725	C₂	semidirect
16. C₂×#15689707	C₂	semidirect
17. C₂×#15689703	C₂	semidirect
18. C₂×#15689691	C₂	semidirect
19. C₂×#15689689	C₂	semidirect
20. C₂×#15689684	C₂	semidirect
21. C₂×#15689636	C₂	semidirect
22. C₂×#15689635	C₂	semidirect
23. C₂×#121×D₄₇	C₂	semidirect
24. C₂×C₄₇×#542	C₂	semidirect
25. C₂²×#10625354	C₂²	semidirect
26. C₂²×#10625354	C₂²	semidirect
27. C₂²×#10625354	C₂²	semidirect
28. C₂²×#10625350	C₂²	semidirect
31. C₂²×D₄×D₄₇	C₂²	semidirect
32. C₂²×D₄×D₄₇	C₂²	semidirect
33. C₂³×C₄×D₄₇	C₂²	semidirect
34. #15689869	C₂²	semidirect
35. #15689864	C₂²	semidirect
36. #15689839	C₂²	semidirect
37. #15689823	C₂²	semidirect
38. #15689814	C₂²	semidirect
39. #15689798	C₂²	semidirect
40. #15689795	C₂²	semidirect
41. #15689776	C₂²	semidirect
42. #15689766	C₂²	semidirect
43. #15689766	C₂²	semidirect
44. #15689764	C₂²	semidirect
45. D₄×D₁₈₈	C₂²	semidirect
46. #15689728	C₂²	semidirect
47. #15689725	C₂²	semidirect
48. #15689707	C₂²	semidirect
49. #15689703	C₂²	semidirect
50. #15689691	C₂²	semidirect
51. #15689689	C₂²	semidirect
52. #15689684	C₂²	semidirect
53. C₂×#13094021	C₂²	semidirect
54. C₂×#13094021	C₂²	semidirect
55. C₂×#13094020	C₂²	semidirect
56. C₂×#13094018	C₂²	semidirect
57. C₂×#13094017	C₂²	semidirect
58. C₂×#13094016	C₂²	semidirect
59. C₂×#13094014	C₂²	semidirect
60. C₂×#13094013	C₂²	semidirect
61. C₂×#13094013	C₂²	semidirect
62. C₂×#13094010	C₂²	semidirect
63. #15689636	C₂²	semidirect
64. #15689635	C₂²	semidirect
66. C₂×#13094009	C₂²	semidirect
67. C₂×#13094009	C₂²	semidirect
68. C₂×#13094009	C₂²	semidirect
69. C₂×#13094009	C₂²	semidirect
70. C₂×#13094009	C₂²	semidirect
71. C₂×#13094008	C₂²	semidirect
72. C₂×#13094008	C₂²	semidirect
73. C₂×#13094007	C₂²	semidirect
74. C₂×#13094006	C₂²	semidirect
75. C₂×#13094006	C₂²	semidirect
76. C₂×#13094004	C₂²	semidirect
77. C₂×#13094004	C₂²	semidirect
78. C₂×#13094002	C₂²	semidirect
79. C₂×#13094000	C₂²	semidirect
80. C₂×#13094000	C₂²	semidirect
81. C₂×#13094000	C₂²	semidirect
84. C₂×#13093999	C₂²	semidirect
85. C₂×#13093999	C₂²	semidirect
86. C₂×#13093999	C₂²	semidirect
87. C₂×#13093999	C₂²	semidirect
88. C₂×#13093999	C₂²	semidirect
89. C₂×#13093999	C₂²	semidirect
90. C₂×#13093999	C₂²	semidirect
91. C₂×#13093999	C₂²	semidirect
92. C₂×#13093998	C₂²	semidirect
93. C₂×#13093998	C₂²	semidirect
94. C₂×#13093998	C₂²	semidirect
95. C₂×#13093997	C₂²	semidirect
96. C₂×#13093997	C₂²	semidirect
97. C₂×#13093997	C₂²	semidirect
98. C₂×#13093997	C₂²	semidirect
99. C₂×#13093997	C₂²	semidirect
100. C₂×#13093997	C₂²	semidirect
101. C₂×#13093997	C₂²	semidirect
102. C₂×#13093997	C₂²	semidirect
103. C₂×#13093996	C₂²	semidirect
105. C₂×#13093995	C₂²	semidirect
106. #121×D₄₇	C₂²	semidirect
109. C₂×#13093994	C₂²	semidirect
110. C₂×#13093994	C₂²	semidirect
111. C₂×#13093994	C₂²	semidirect
112. C₂×#13093994	C₂²	semidirect
113. C₂×#13093994	C₂²	semidirect
114. C₂×#13093994	C₂²	semidirect
115. C₂×#13093992	C₂²	semidirect
117. C₂×C₄×D₁₈₈	C₂²	semidirect
118. C₂×C₄×D₁₈₈	C₂²	semidirect
119. C₂×C₄×D₁₈₈	C₂²	semidirect
120. C₂×C₄×D₁₈₈	C₂²	semidirect
121. C₂×C₄×D₁₈₈	C₂²	semidirect
122. C₂×C₄×D₁₈₈	C₂²	semidirect
123. C₂×#13093986	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
125. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
126. C₂×#13093982	C₂²	semidirect
127. C₂×#13093982	C₂²	semidirect
128. C₂×#13093982	C₂²	semidirect
129. C₂×#13093981	C₂²	semidirect
130. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
131. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
135. C₄₇×#542	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₄₇	C₂²	semidirect
137. C₂×#126×C₄₇	C₂²	semidirect
138. C₂×#124×C₄₇	C₂²	semidirect
139. C₂×#124×C₄₇	C₂²	semidirect
140. C₂×#123×C₄₇	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
145. C₂×C₄×D₄×C₄₇	C₂²	semidirect
146. C₂×#117×C₄₇	C₂²	semidirect
153. C₂×#10625354	C₂³	semidirect
154. C₂×#10625354	C₂³	semidirect
155. C₂×#10625354	C₂³	semidirect
157. C₂×#10625350	C₂³	semidirect
188. C₂×D₄×D₄₇	C₂³	semidirect
189. C₂×D₄×D₄₇	C₂³	semidirect
204. C₂²×C₄×D₄₇	C₂³	semidirect
205. #13094021	C₂³	semidirect
206. #13094021	C₂³	semidirect
207. #13094020	C₂³	semidirect
208. #13094018	C₂³	semidirect
209. #13094017	C₂³	semidirect
210. #13094016	C₂³	semidirect
211. #13094014	C₂³	semidirect
212. #13094013	C₂³	semidirect
213. #13094013	C₂³	semidirect
214. #13094010	C₂³	semidirect
216. #13094009	C₂³	semidirect
217. #13094009	C₂³	semidirect
218. #13094009	C₂³	semidirect
219. #13094009	C₂³	semidirect
220. #13094009	C₂³	semidirect
221. #13094008	C₂³	semidirect
222. #13094008	C₂³	semidirect
223. #13094007	C₂³	semidirect
224. #13094006	C₂³	semidirect
225. #13094006	C₂³	semidirect
226. #13094004	C₂³	semidirect
227. #13094004	C₂³	semidirect
228. #13094002	C₂³	semidirect
229. #13094000	C₂³	semidirect
230. #13094000	C₂³	semidirect
231. #13094000	C₂³	semidirect
234. #13093999	C₂³	semidirect
235. #13093999	C₂³	semidirect
236. #13093999	C₂³	semidirect
237. #13093999	C₂³	semidirect
238. #13093999	C₂³	semidirect
239. #13093999	C₂³	semidirect
240. #13093999	C₂³	semidirect
241. #13093999	C₂³	semidirect
242. #13093998	C₂³	semidirect
243. #13093998	C₂³	semidirect
244. #13093998	C₂³	semidirect
245. #13093997	C₂³	semidirect
246. #13093997	C₂³	semidirect
247. #13093997	C₂³	semidirect
248. #13093997	C₂³	semidirect
249. #13093997	C₂³	semidirect
250. #13093997	C₂³	semidirect
251. #13093997	C₂³	semidirect
252. #13093997	C₂³	semidirect
253. #13093996	C₂³	semidirect
255. #13093995	C₂³	semidirect
258. #13093994	C₂³	semidirect
259. #13093994	C₂³	semidirect
260. #13093994	C₂³	semidirect
261. #13093994	C₂³	semidirect
262. #13093994	C₂³	semidirect
263. #13093994	C₂³	semidirect
264. #13093992	C₂³	semidirect
266. C₄×D₁₈₈	C₂³	semidirect
267. C₄×D₁₈₈	C₂³	semidirect
268. C₄×D₁₈₈	C₂³	semidirect
269. C₄×D₁₈₈	C₂³	semidirect
270. C₄×D₁₈₈	C₂³	semidirect
271. C₄×D₁₈₈	C₂³	semidirect
272. #13093986	C₂³	semidirect
273. C₄×C₂²⋊D₄₇	C₂³	semidirect
274. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
275. #13093982	C₂³	semidirect
276. #13093982	C₂³	semidirect
277. #13093982	C₂³	semidirect
278. #13093981	C₂³	semidirect
291. C₄⋊C₄×D₄₇	C₂³	semidirect
292. C₄⋊C₄×D₄₇	C₂³	semidirect
315. C₂²⋊C₄×D₄₇	C₂³	semidirect
316. C₂²⋊C₄×D₄₇	C₂³	semidirect
317. C₂²⋊C₄×D₄₇	C₂³	semidirect
326. C₄⋊Q₈×C₄₇	C₂³	semidirect
327. #126×C₄₇	C₂³	semidirect
328. #124×C₄₇	C₂³	semidirect
329. #124×C₄₇	C₂³	semidirect
330. #123×C₄₇	C₂³	semidirect
331. C₂²⋊Q₈×C₄₇	C₂³	semidirect
332. C₂²⋊Q₈×C₄₇	C₂³	semidirect
334. C₄×Q₈×C₄₇	C₂³	semidirect
335. C₄×D₄×C₄₇	C₂³	semidirect
336. #117×C₄₇	C₂³	semidirect
723. C₂×#542	D₄₇	semidirect
736. C₂×C₄₇	#3542	semidirect
767. #542	C₂×D₄₇	semidirect
775. C₂×C₄⋊Q₈	C₂×D₄₇	semidirect
781. C₂×#126	C₂×D₄₇	semidirect
787. C₂×#124	C₂×D₄₇	semidirect
788. C₂×#124	C₂×D₄₇	semidirect
802. C₂×#123	C₂×D₄₇	semidirect
809. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
810. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
846. C₂×C₄×Q₈	C₂×D₄₇	semidirect
857. C₂×C₄×D₄	C₂×D₄₇	semidirect
862. C₂×#117	C₂×D₄₇	semidirect
868. C₄₇	C₂×#3542	semidirect
933. C₄⋊Q₈	C₂²×D₄₇	semidirect
939. #126	C₂²×D₄₇	semidirect
945. #124	C₂²×D₄₇	semidirect
946. #124	C₂²×D₄₇	semidirect
958. #123	C₂²×D₄₇	semidirect
965. C₂²⋊Q₈	C₂²×D₄₇	semidirect
966. C₂²⋊Q₈	C₂²×D₄₇	semidirect
1001. C₄×Q₈	C₂²×D₄₇	semidirect
1012. C₄×D₄	C₂²×D₄₇	semidirect
1017. #117	C₂²×D₄₇	semidirect
1439. C₂	#20257700	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257700	2
C₂×#15689869	2
C₂×#15689864	2
C₂×#15689839	2
C₂×#15689823	2
C₂×#15689814	2
C₂×#15689798	2
C₂×#15689795	2
C₂×#15689776	2
C₂×#15689766	2
C₂×#15689764	2
C₂×D₄×D₁₈₈	2
C₂×#15689728	2
C₂×#15689725	2
C₂×#15689707	2
C₂×#15689703	2
C₂×#15689691	2
C₂×#15689689	2
C₂×#15689684	2
C₂×#15689636	2
C₂×#15689635	2
C₂×#121×D₄₇	2
C₂×C₄₇×#542	2
C₂×#3542	47

Subgroups — C2×#20257700 #27123425

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257700 #27123425