Subgroups — C₂×#20243877 #26218162

Order 12032.

1894 conjugacy classes of subgroups.

The subgroup lattice has 804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689598	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15689140	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#15689128	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15689097	C₂	1	1	yes	maximal, characteristic, complemented
5	#20243877	C₂	1	8	yes	maximal, direct product factor
6	C₂×#15688894	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15688880	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×AGL(1,ℤ/8)×C₄₇	C₂	1	1	yes	maximal, characteristic
9	C₂²×#10625329	C₂²	1	1	yes	characteristic
10	#15689598	—	2	2	no	—
11	#15689598	—	2	2	no	—
12	#15689598	—	2	2	no	—
13	#15689598	C₂²	1	4	yes	complemented
14	C₂×D₄×Dic₄₇	—	2	2	no	—
15	C₂×D₄×Dic₄₇	—	2	2	no	—
16	C₂×#13093983	C₂²	1	1	yes	characteristic
17	C₂×#13093983	C₂²	1	1	yes	characteristic
18	C₂×#13093983	C₂²	1	1	yes	characteristic
19	C₂²×C₂²⋊Dic₄₇	—	2	2	no	—
20	#15689140	—	2	2	no	—
21	#15689140	C₂²	1	4	yes	complemented
22	C₂×#13093951	—	2	2	no	—
23	#15689128	—	2	2	no	—
24	#15689128	C₂²	1	4	yes	complemented
25	C₂×#13093945	—	2	2	no	—
26	#15689097	—	2	2	no	—
27	#15689097	C₂²	1	4	yes	complemented
28	C₂×#13093939	—	2	2	no	—
29	#15688894	C₂²	1	4	yes	complemented
30	#15688880	C₂²	1	4	yes	complemented
31	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
32	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
33	C₂×AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
34	C₂×AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
35	C₂×AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
36	C₂×AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
37	C₂×AGL(1,ℤ/8)×C₄₇	C₄	1	4	yes	complemented
38	C₂×AGL(1,ℤ/8)×C₄₇	C₂²	1	4	yes	—
39	C₂²×SD₁₆×C₄₇	C₄	1	2	yes	complemented
40	C₂²×D₈×C₄₇	C₄	1	2	yes	complemented
41	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
42	C₂³×Dic₄₇	—	2	4	no	—
43	C₂×#10625329	—	2	1	no	—
44	C₂×#10625329	—	2	1	no	—
45	C₂×#10625329	—	2	1	no	—
46	C₂×#10625329	—	2	1	no	—
47	C₂×#10625329	—	2	1	no	—
48	C₂×#10625329	C₂³	1	2	yes	—
49	C₂²×C₄₇⋊C₈	—	2	1	no	—
50	D₄×Dic₄₇	—	2	8	no	—
51	D₄×Dic₄₇	—	2	8	no	—
52	D₄×Dic₄₇	—	2	8	no	—
53	D₄×Dic₄₇	—	2	8	no	—
54	#13093983	—	2	1	no	—
55	#13093983	—	2	1	no	—
56	#13093983	—	2	1	no	—
57	#13093983	—	2	1	no	—
58	#13093983	—	2	1	no	—
59	#13093983	—	2	1	no	—
60	#13093983	—	2	1	no	—
61	#13093983	D₄	1	2	yes	—
62	#13093983	D₄	1	2	yes	—
63	#13093983	C₂³	1	2	yes	—
64	#13093983	C₂³	1	2	yes	—
65	#13093983	C₂³	1	2	yes	—
66	C₂×C₄⋊Dic₄₇	—	2	1	no	—
67	C₂×C₄⋊Dic₄₇	—	2	1	no	—
68	C₂×C₄⋊Dic₄₇	—	2	1	no	—
69	C₂×C₂²⋊Dic₄₇	—	2	4	no	—
70	C₂×C₂²⋊Dic₄₇	—	2	8	no	—
71	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
72	C₂×C₂²⋊Dic₄₇	—	2	8	no	—
73	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
74	C₂×C₂²⋊Dic₄₇	D₄	1	2	yes	—
75	C₂×C₄×Dic₄₇	—	2	1	no	—
76	C₂×C₄×Dic₄₇	—	2	1	no	—
77	C₂×C₄×Dic₄₇	D₄	1	2	yes	—
78	#13093951	—	2	8	no	—
79	#13093945	—	2	8	no	—
80	#13093939	—	2	8	no	—
81	C₂⁵×C₄₇	—	2	1	no	—
82	C₂×#41×C₄₇	—	2	1	no	—
83	C₂×#41×C₄₇	—	2	1	no	—
84	C₂×#41×C₄₇	—	2	1	no	—
85	C₂×#41×C₄₇	—	2	1	no	—
86	C₂×#41×C₄₇	—	2	1	no	—
87	C₂×#41×C₄₇	—	2	1	no	—
88	C₂×#41×C₄₇	—	2	1	no	—
89	C₂×#41×C₄₇	—	2	1	no	—
90	C₂×#41×C₄₇	—	2	1	no	—
91	C₂×#41×C₄₇	—	2	1	no	—
92	C₂×#41×C₄₇	C₂×C₄	1	2	yes	complemented
93	C₂×#41×C₄₇	C₂³	1	2	yes	—
94	C₂²×Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
95	C₂²×D₄×C₄₇	—	2	1	no	—
96	C₂²×D₄×C₄₇	—	2	1	no	—
97	C₂²×D₄×C₄₇	—	2	1	no	—
98	C₂²×D₄×C₄₇	—	2	1	no	—
99	C₂²×D₄×C₄₇	—	2	1	no	—
100	C₂²×D₄×C₄₇	—	2	1	no	—
101	C₂²×D₄×C₄₇	—	2	1	no	—
102	C₂²×D₄×C₄₇	—	2	1	no	—
103	C₂²×D₄×C₄₇	C₂×C₄	1	2	yes	—
104	C₂²×D₄×C₄₇	C₂×C₄	1	2	yes	—
105	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
106	C₂²×D₄×C₄₇	D₄	1	2	yes	—
107	C₂²×D₄×C₄₇	D₄	1	2	yes	—
108	C₂²×D₄×C₄₇	D₄	1	2	yes	—
109	C₂²×D₄×C₄₇	D₄	1	2	yes	—
110	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
111	C₂³×C₄×C₄₇	—	2	1	no	—
112	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
113	AGL(1,ℤ/8)×C₄₇	—	2	8	no	—
114	AGL(1,ℤ/8)×C₄₇	—	2	8	no	—
115	AGL(1,ℤ/8)×C₄₇	—	2	8	no	—
116	AGL(1,ℤ/8)×C₄₇	—	2	8	no	—
117	C₂×SD₁₆×C₄₇	—	2	4	no	—
118	C₂×SD₁₆×C₄₇	—	2	4	no	—
119	C₂×SD₁₆×C₄₇	C₂×C₄	1	8	yes	complemented
120	C₂×D₈×C₄₇	—	2	4	no	—
121	C₂×D₈×C₄₇	—	2	4	no	—
122	C₂×D₈×C₄₇	C₂×C₄	1	8	yes	complemented
123	C₂×M₁₆×C₄₇	—	2	1	no	—
124	C₂×M₁₆×C₄₇	—	2	1	no	—
125	C₂×M₁₆×C₄₇	—	2	1	no	—
126	C₂×M₁₆×C₄₇	—	2	1	no	—
127	C₂×M₁₆×C₄₇	C₂×C₄	1	2	yes	complemented
128	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
129	C₂²×C₈×C₄₇	C₂×C₄	1	2	yes	complemented
130	C₂⁴×C₄₇	—	2	2	no	—
131	C₂⁴×C₄₇	—	2	2	no	—
132	C₂⁴×C₄₇	—	2	2	no	—
133	C₂⁴×C₄₇	—	2	2	no	—
134	C₂⁴×C₄₇	—	2	2	no	—
135	C₂⁴×C₄₇	—	2	2	no	—
136	C₂⁴×C₄₇	—	2	2	no	—
137	C₂⁴×C₄₇	—	2	1	no	—
138	C₂⁴×C₄₇	—	8	4	no	—
139	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
140	#41×C₄₇	—	2	2	no	—
141	#41×C₄₇	—	2	2	no	—
142	#41×C₄₇	—	2	2	no	—
143	#41×C₄₇	—	2	2	no	—
144	#41×C₄₇	—	2	2	no	—
145	#41×C₄₇	—	2	2	no	—
146	#41×C₄₇	—	2	2	no	—
147	#41×C₄₇	—	2	2	no	—
148	#41×C₄₇	—	4	1	no	—
149	#41×C₄₇	—	4	1	no	—
150	#41×C₄₇	—	4	1	no	—
151	#41×C₄₇	—	4	1	no	—
152	#41×C₄₇	—	4	1	no	—
153	#41×C₄₇	—	4	1	no	—
154	#41×C₄₇	—	4	1	no	—
155	#41×C₄₇	—	4	1	no	—
156	C₂×Q₈×C₄₇	—	2	1	no	—
157	C₂×Q₈×C₄₇	—	2	1	no	—
158	C₂×Q₈×C₄₇	—	2	1	no	—
159	C₂×Q₈×C₄₇	—	2	1	no	—
160	C₂×Q₈×C₄₇	—	2	1	no	—
161	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	complemented
162	C₂×D₄×C₄₇	—	2	2	no	—
163	C₂×D₄×C₄₇	—	2	2	no	—
164	C₂×D₄×C₄₇	—	2	1	no	—
165	C₂×D₄×C₄₇	—	2	1	no	—
166	C₂×D₄×C₄₇	—	2	2	no	—
167	C₂×D₄×C₄₇	—	2	2	no	—
168	C₂×D₄×C₄₇	—	2	2	no	—
169	C₂×D₄×C₄₇	—	2	2	no	—
170	C₂×D₄×C₄₇	—	2	2	no	—
171	C₂×D₄×C₄₇	—	2	2	no	—
172	C₂×D₄×C₄₇	—	2	1	no	—
173	C₂×D₄×C₄₇	—	2	1	no	—
174	C₂×D₄×C₄₇	—	2	1	no	—
175	C₂×D₄×C₄₇	—	2	2	no	—
176	C₂×D₄×C₄₇	—	2	2	no	—
177	C₂×D₄×C₄₇	—	2	2	no	—
178	C₂×D₄×C₄₇	—	2	2	no	—
179	C₂×D₄×C₄₇	—	2	2	no	—
180	C₂×D₄×C₄₇	—	2	2	no	—
181	C₂×D₄×C₄₇	—	2	2	no	—
182	C₂×D₄×C₄₇	—	2	2	no	—
183	C₂×D₄×C₄₇	—	2	2	no	—
184	C₂×D₄×C₄₇	—	2	2	no	—
185	C₂×D₄×C₄₇	—	2	2	no	—
186	C₂×D₄×C₄₇	—	2	2	no	—
187	C₂×D₄×C₄₇	—	2	2	no	—
188	C₂×D₄×C₄₇	—	2	2	no	—
189	C₂×D₄×C₄₇	—	2	2	no	—
190	C₂×D₄×C₄₇	—	4	1	no	—
191	C₂×D₄×C₄₇	—	4	1	no	—
192	C₂×D₄×C₄₇	—	4	1	no	—
193	C₂×D₄×C₄₇	—	4	1	no	—
194	C₂×D₄×C₄₇	C₂²⋊C₄	1	4	yes	—
195	C₂×D₄×C₄₇	C₂²⋊C₄	1	4	yes	—
196	C₂×D₄×C₄₇	C₂²⋊C₄	1	4	yes	—
197	C₂×D₄×C₄₇	C₂²⋊C₄	1	4	yes	—
198	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
199	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	complemented
200	C₂×D₄×C₄₇	C₂×D₄	1	4	yes	—
201	C₂×D₄×C₄₇	C₂×D₄	1	4	yes	—
202	C₂²×C₄×C₄₇	—	2	1	no	—
203	C₂²×C₄×C₄₇	—	2	2	no	—
204	C₂²×C₄×C₄₇	—	2	2	no	—
205	C₂²×C₄×C₄₇	—	4	1	no	—
206	C₂²×C₄×C₄₇	—	4	1	no	—
207	C₂²×C₄×C₄₇	—	4	1	no	—
208	C₂²×C₄×C₄₇	—	4	1	no	—
209	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
210	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
211	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
212	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
214	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
215	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
217	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
218	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
219	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
220	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
221	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
222	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
223	C₂²×Dic₄₇	—	2	2	no	—
224	C₂²×Dic₄₇	—	2	2	no	—
225	C₂²×Dic₄₇	—	2	16	no	—
226	C₂²×Dic₄₇	—	4	1	no	—
227	C₂²×Dic₄₇	—	8	8	no	—
228	SD₁₆×C₄₇	—	2	16	no	—
229	D₈×C₄₇	—	2	16	no	—
230	M₁₆×C₄₇	—	2	2	no	—
231	M₁₆×C₄₇	—	2	2	no	—
232	M₁₆×C₄₇	—	2	2	no	—
233	M₁₆×C₄₇	—	2	2	no	—
234	C₂×C₈×C₄₇	—	2	2	no	—
235	C₂×C₈×C₄₇	—	2	2	no	—
236	C₂×C₈×C₄₇	C₂²×C₄	1	4	yes	complemented
237	C₂²⋊Dic₄₇	—	2	16	no	—
238	C₂²⋊Dic₄₇	—	2	2	no	—
239	C₂²⋊Dic₄₇	—	2	2	no	—
240	C₂²⋊Dic₄₇	—	2	2	no	—
241	C₂²⋊Dic₄₇	—	2	2	no	—
242	C₂²⋊Dic₄₇	—	4	1	no	—
243	C₂²⋊Dic₄₇	C₂×D₄	1	4	yes	—
244	C₄⋊Dic₄₇	—	2	2	no	—
245	C₄⋊Dic₄₇	—	2	2	no	—
246	C₄⋊Dic₄₇	—	2	2	no	—
247	C₄⋊Dic₄₇	—	2	2	no	—
248	C₄⋊Dic₄₇	—	2	2	no	—
249	C₄⋊Dic₄₇	—	4	1	no	—
250	C₄×Dic₄₇	—	2	2	no	—
251	C₄×Dic₄₇	—	2	2	no	—
252	C₄×Dic₄₇	—	2	2	no	—
253	C₄×Dic₄₇	—	2	2	no	—
254	C₄×Dic₄₇	—	4	1	no	—
255	C₄×Dic₄₇	C₂×D₄	1	4	yes	—
256	#10625329	—	2	2	no	—
257	#10625329	—	2	2	no	—
258	#10625329	—	4	1	no	—
259	#10625329	—	4	1	no	—
260	C₂×C₄₇⋊C₈	—	2	2	no	—
261	C₂×C₄₇⋊C₈	—	4	1	no	—
262	C₂×C₄₇⋊C₈	—	4	1	no	—
263	C₂³×C₄₇	—	2	4	no	—
264	C₂³×C₄₇	—	2	4	no	—
265	C₂³×C₄₇	—	2	4	no	—
266	C₂³×C₄₇	—	2	4	no	—
267	C₂³×C₄₇	—	2	4	no	—
268	C₂³×C₄₇	—	2	4	no	—
269	C₂³×C₄₇	—	2	4	no	—
270	C₂³×C₄₇	—	2	2	no	—
271	C₂³×C₄₇	—	4	2	no	—
272	C₂³×C₄₇	—	4	8	no	—
273	C₂³×C₄₇	—	4	1	no	—
274	C₂³×C₄₇	—	4	1	no	—
275	C₂³×C₄₇	—	8	4	no	—
276	C₂³×C₄₇	—	8	4	no	—
277	C₂³×C₄₇	—	8	2	no	—
278	C₂³×C₄₇	—	8	4	no	—
279	C₂³×C₄₇	—	8	4	no	—
280	C₂³×C₄₇	—	8	4	no	—
281	C₂³×C₄₇	—	8	4	no	—
282	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
283	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
284	C₂³×C₄₇	#120	1	1	yes	characteristic
285	C₂³×C₄₇	#120	1	1	yes	characteristic
286	C₂³×C₄₇	#121	1	1	yes	characteristic
287	C₂³×C₄₇	#121	1	1	yes	characteristic
288	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
289	Q₈×C₄₇	—	2	2	no	—
290	Q₈×C₄₇	—	2	2	no	—
291	Q₈×C₄₇	—	4	1	no	—
292	Q₈×C₄₇	—	4	1	no	—
293	D₄×C₄₇	—	2	2	no	—
294	D₄×C₄₇	—	2	4	no	—
295	D₄×C₄₇	—	2	2	no	—
296	D₄×C₄₇	—	2	4	no	—
297	D₄×C₄₇	—	2	4	no	—
298	D₄×C₄₇	—	2	4	no	—
299	D₄×C₄₇	—	2	4	no	—
300	D₄×C₄₇	—	2	4	no	—
301	D₄×C₄₇	—	2	4	no	—
302	D₄×C₄₇	—	4	2	no	—
303	D₄×C₄₇	—	4	2	no	—
304	D₄×C₄₇	—	4	2	no	—
305	D₄×C₄₇	—	4	2	no	—
306	D₄×C₄₇	—	4	1	no	—
307	D₄×C₄₇	—	4	1	no	—
308	D₄×C₄₇	C₂×C₂²⋊C₄	1	8	yes	—
309	C₂×C₄×C₄₇	—	2	2	no	—
310	C₂×C₄×C₄₇	—	4	1	no	—
311	C₂×C₄×C₄₇	—	4	1	no	—
312	C₂×C₄×C₄₇	—	4	2	no	—
313	C₂×C₄×C₄₇	—	4	2	no	—
314	C₂×C₄×C₄₇	—	4	2	no	—
315	C₂×C₄×C₄₇	—	4	2	no	—
316	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
317	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
318	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
319	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
320	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
321	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
322	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
323	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
324	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
325	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
326	C₂×C₄×C₄₇	#120	1	1	yes	characteristic
327	C₂×C₄×C₄₇	#120	1	1	yes	characteristic
328	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
329	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
330	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
331	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
332	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
333	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
334	C₂×C₄×C₄₇	#123	1	1	yes	characteristic
335	C₂×C₄×C₄₇	#123	1	1	yes	characteristic
336	C₂×C₄×C₄₇	#123	1	1	yes	characteristic
337	C₂×C₄×C₄₇	#123	1	1	yes	characteristic
338	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
339	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
340	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
343	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
344	C₂×Dic₄₇	—	2	4	no	—
345	C₂×Dic₄₇	—	2	4	no	—
346	C₂×Dic₄₇	—	4	4	no	—
347	C₂×Dic₄₇	—	4	4	no	—
348	C₂×Dic₄₇	—	4	2	no	—
349	C₂×Dic₄₇	—	8	16	no	—
350	C₂×Dic₄₇	—	8	2	no	—
351	C₈×C₄₇	—	2	4	no	—
352	C₄₇⋊C₈	—	4	2	no	—
353	C₂×#1904	—	47	1	no	maximal, Sylow
354	C₂²×C₄₇	—	2	2	no	—
355	C₂²×C₄₇	—	2	2	no	—
356	C₂²×C₄₇	—	2	2	no	—
357	C₂²×C₄₇	—	2	8	no	—
358	C₂²×C₄₇	—	4	1	no	—
359	C₂²×C₄₇	—	4	1	no	—
360	C₂²×C₄₇	—	4	1	no	—
361	C₂²×C₄₇	—	4	1	no	—
362	C₂²×C₄₇	—	4	8	no	—
363	C₂²×C₄₇	—	4	8	no	—
364	C₂²×C₄₇	—	4	8	no	—
365	C₂²×C₄₇	—	4	2	no	—
366	C₂²×C₄₇	—	8	4	no	—
367	C₂²×C₄₇	—	8	4	no	—
368	C₂²×C₄₇	—	8	4	no	—
369	C₂²×C₄₇	—	8	4	no	—
370	C₂²×C₄₇	—	8	2	no	—
371	C₂²×C₄₇	—	8	2	no	—
372	C₂²×C₄₇	—	8	2	no	—
373	C₂²×C₄₇	#386	1	1	yes	characteristic
374	C₂²×C₄₇	#386	1	1	yes	characteristic
375	C₂²×C₄₇	#386	1	1	yes	characteristic
376	C₂²×C₄₇	#386	1	1	yes	characteristic
377	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
378	C₂²×C₄₇	C₂×#120	1	1	yes	characteristic
379	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
380	C₄×C₄₇	—	4	2	no	—
381	C₄×C₄₇	#386	1	1	yes	characteristic
382	C₄×C₄₇	#386	1	1	yes	characteristic
383	C₄×C₄₇	#386	1	1	yes	characteristic
384	C₄×C₄₇	#386	1	1	yes	characteristic
385	C₄×C₄₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
386	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
387	C₄×C₄₇	C₂×#121	1	1	yes	characteristic
388	C₄×C₄₇	C₂×#123	1	1	yes	characteristic
389	Dic₄₇	—	4	4	no	—
390	Dic₄₇	—	4	4	no	—
391	Dic₄₇	—	8	2	no	—
392	C₂²×AGL(1,ℤ/8)	D₄₇	1	1	yes	characteristic
393	C₂×#518	—	47	1	no	—
394	C₂×#421	—	47	1	no	—
395	C₂×#418	—	47	1	no	—
396	C₂×#410	—	47	1	no	—
397	#1904	—	47	8	no	—
398	C₂×#344	—	47	1	no	—
399	C₂×H(3,ℤ/4)	—	47	1	no	—
400	C₂×C₄₇	—	2	1	no	—
401	C₂×C₄₇	—	2	1	no	—
402	C₂×C₄₇	—	2	1	no	—
403	C₂×C₄₇	—	2	1	no	—
404	C₂×C₄₇	—	2	1	no	—
405	C₂×C₄₇	—	2	1	no	—
406	C₂×C₄₇	—	4	8	no	—
407	C₂×C₄₇	—	8	2	no	—
408	C₂×C₄₇	#1904	1	2	yes	complemented
409	C₂×C₄₇	C₂×#386	1	1	yes	characteristic
410	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
411	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic
412	C₂×AGL(1,ℤ/8)	—	2	2	no	—
413	C₂×AGL(1,ℤ/8)	—	2	2	no	—
414	C₂×AGL(1,ℤ/8)	—	2	2	no	—
415	C₂×AGL(1,ℤ/8)	—	2	2	no	—
416	C₂×AGL(1,ℤ/8)	Dic₄₇	1	4	yes	complemented
417	C₂×AGL(1,ℤ/8)	C₂×D₄₇	1	4	yes	—
418	C₂²×SD₁₆	Dic₄₇	1	2	yes	complemented
419	C₂²×D₈	Dic₄₇	1	2	yes	complemented
420	C₂²×M₁₆	—	47	1	no	—
421	C₂²×M₁₆	C₂×D₄₇	1	1	yes	characteristic
422	#518	—	47	4	no	—
423	#518	—	94	2	no	—
424	#518	—	94	2	no	—
425	#518	—	94	2	no	—
426	C₂×C₄×D₄	—	94	2	no	—
427	C₂×C₄×D₄	—	94	2	no	—
428	C₂×#117	—	47	1	no	—
429	C₂×#117	—	47	1	no	—
430	C₂×#117	—	47	1	no	—
431	C₂²×C₂²⋊C₄	—	94	2	no	—
432	#421	—	47	4	no	—
433	#421	—	94	2	no	—
434	C₂×#104	—	94	2	no	—
435	#418	—	47	4	no	—
436	#418	—	94	2	no	—
437	C₂×#102	—	94	2	no	—
438	#410	—	47	4	no	—
439	#410	—	94	2	no	—
440	C₂×#99	—	94	2	no	—
441	#344	—	47	4	no	—
442	H(3,ℤ/4)	—	47	4	no	—
443	C₄₇	C₂×#1904	1	1	yes	characteristic, complemented, Sylow
444	C₂⁵	—	2	1	no	—
445	C₂×#41	—	2	1	no	—
446	C₂×#41	—	2	1	no	—
447	C₂×#41	—	2	1	no	—
448	C₂×#41	—	2	1	no	—
449	C₂×#41	—	2	1	no	—
450	C₂×#41	—	2	1	no	—
451	C₂×#41	—	2	1	no	—
452	C₂×#41	—	2	1	no	—
453	C₂×#41	—	2	1	no	—
454	C₂×#41	—	2	1	no	—
455	C₂×#41	C₂×Dic₄₇	1	2	yes	complemented
456	C₂×#41	C₂²×D₄₇	1	2	yes	—
457	C₂²×Q₈	C₂×Dic₄₇	1	1	yes	characteristic, complemented
458	C₂²×D₄	—	2	1	no	—
459	C₂²×D₄	—	2	1	no	—
460	C₂²×D₄	—	2	1	no	—
461	C₂²×D₄	—	2	1	no	—
462	C₂²×D₄	—	2	1	no	—
463	C₂²×D₄	—	2	1	no	—
464	C₂²×D₄	—	2	1	no	—
465	C₂²×D₄	—	2	1	no	—
466	C₂²×D₄	C₂×Dic₄₇	1	2	yes	—
467	C₂²×D₄	C₂×Dic₄₇	1	2	yes	—
468	C₂²×D₄	C₂×Dic₄₇	1	1	yes	characteristic, complemented
469	C₂²×D₄	C₂²⋊D₄₇	1	2	yes	—
470	C₂²×D₄	C₂²⋊D₄₇	1	2	yes	—
471	C₂²×D₄	C₂²⋊D₄₇	1	2	yes	—
472	C₂²×D₄	C₂²⋊D₄₇	1	2	yes	—
473	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
474	C₂³×C₄	—	2	1	no	—
475	C₂³×C₄	—	94	4	no	—
476	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
477	AGL(1,ℤ/8)	—	2	8	no	—
478	AGL(1,ℤ/8)	—	2	8	no	—
479	AGL(1,ℤ/8)	—	2	8	no	—
480	AGL(1,ℤ/8)	—	2	8	no	—
481	C₂×SD₁₆	—	2	4	no	—
482	C₂×SD₁₆	—	2	4	no	—
483	C₂×SD₁₆	C₂×Dic₄₇	1	8	yes	complemented
484	C₂×D₈	—	2	4	no	—
485	C₂×D₈	—	2	4	no	—
486	C₂×D₈	C₂×Dic₄₇	1	8	yes	complemented
487	C₂×M₁₆	—	2	1	no	—
488	C₂×M₁₆	—	2	1	no	—
489	C₂×M₁₆	—	2	1	no	—
490	C₂×M₁₆	—	2	1	no	—
491	C₂×M₁₆	—	47	2	no	—
492	C₂×M₁₆	—	94	1	no	—
493	C₂×M₁₆	—	94	1	no	—
494	C₂×M₁₆	—	94	1	no	—
495	C₂×M₁₆	—	94	1	no	—
496	C₂×M₁₆	—	94	1	no	—
497	C₂×M₁₆	C₂×Dic₄₇	1	2	yes	complemented
498	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
499	C₂²×C₈	—	94	1	no	—
500	C₂²×C₈	C₂×Dic₄₇	1	2	yes	complemented
501	C₄×D₄	—	94	8	no	—
502	C₄×D₄	—	94	8	no	—
503	C₄×D₄	—	94	8	no	—
504	C₄×D₄	—	94	8	no	—
505	#117	—	47	2	no	—
506	#117	—	47	2	no	—
507	#117	—	47	2	no	—
508	#117	—	47	2	no	—
509	#117	—	47	2	no	—
510	#117	—	94	1	no	—
511	#117	—	94	1	no	—
512	#117	—	94	1	no	—
513	#117	—	94	1	no	—
514	#117	—	94	1	no	—
515	#117	—	94	1	no	—
516	#117	—	94	1	no	—
517	C₂×C₄⋊C₄	—	94	1	no	—
518	C₂×C₄⋊C₄	—	94	1	no	—
519	C₂×C₄⋊C₄	—	94	1	no	—
520	C₂×C₂²⋊C₄	—	47	2	no	—
521	C₂×C₂²⋊C₄	—	94	8	no	—
522	C₂×C₂²⋊C₄	—	94	4	no	—
523	C₂×C₂²⋊C₄	—	94	8	no	—
524	C₂×C₂²⋊C₄	—	94	1	no	—
525	C₂×C₂²⋊C₄	—	94	1	no	—
526	C₂×C₄²	—	47	2	no	—
527	C₂×C₄²	—	94	1	no	—
528	C₂×C₄²	—	94	1	no	—
529	#104	—	94	8	no	—
530	#102	—	94	8	no	—
531	#99	—	94	8	no	—
532	C₂⁴	—	2	2	no	—
533	C₂⁴	—	2	2	no	—
534	C₂⁴	—	2	2	no	—
535	C₂⁴	—	2	2	no	—
536	C₂⁴	—	2	2	no	—
537	C₂⁴	—	2	2	no	—
538	C₂⁴	—	2	2	no	—
539	C₂⁴	—	2	1	no	—
540	C₂⁴	—	8	4	no	—
541	C₂⁴	D₄×D₄₇	1	1	yes	characteristic
542	#41	—	2	2	no	—
543	#41	—	2	2	no	—
544	#41	—	2	2	no	—
545	#41	—	2	2	no	—
546	#41	—	2	2	no	—
547	#41	—	2	2	no	—
548	#41	—	2	2	no	—
549	#41	—	2	2	no	—
550	#41	—	4	1	no	—
551	#41	—	4	1	no	—
552	#41	—	4	1	no	—
553	#41	—	4	1	no	—
554	#41	—	4	1	no	—
555	#41	—	4	1	no	—
556	#41	—	4	1	no	—
557	#41	—	4	1	no	—
558	C₂×Q₈	—	2	1	no	—
559	C₂×Q₈	—	2	1	no	—
560	C₂×Q₈	—	2	1	no	—
561	C₂×Q₈	—	2	1	no	—
562	C₂×Q₈	—	2	1	no	—
563	C₂×Q₈	C₂²×Dic₄₇	1	2	yes	complemented
564	C₂×D₄	—	2	2	no	—
565	C₂×D₄	—	2	2	no	—
566	C₂×D₄	—	2	1	no	—
567	C₂×D₄	—	2	1	no	—
568	C₂×D₄	—	2	2	no	—
569	C₂×D₄	—	2	2	no	—
570	C₂×D₄	—	2	2	no	—
571	C₂×D₄	—	2	2	no	—
572	C₂×D₄	—	2	2	no	—
573	C₂×D₄	—	2	2	no	—
574	C₂×D₄	—	2	1	no	—
575	C₂×D₄	—	2	1	no	—
576	C₂×D₄	—	2	1	no	—
577	C₂×D₄	—	2	2	no	—
578	C₂×D₄	—	2	2	no	—
579	C₂×D₄	—	2	2	no	—
580	C₂×D₄	—	2	2	no	—
581	C₂×D₄	—	2	2	no	—
582	C₂×D₄	—	2	2	no	—
583	C₂×D₄	—	2	2	no	—
584	C₂×D₄	—	2	2	no	—
585	C₂×D₄	—	2	2	no	—
586	C₂×D₄	—	2	2	no	—
587	C₂×D₄	—	2	2	no	—
588	C₂×D₄	—	2	2	no	—
589	C₂×D₄	—	2	2	no	—
590	C₂×D₄	—	2	2	no	—
591	C₂×D₄	—	2	2	no	—
592	C₂×D₄	—	4	1	no	—
593	C₂×D₄	—	4	1	no	—
594	C₂×D₄	—	4	1	no	—
595	C₂×D₄	—	4	1	no	—
596	C₂×D₄	C₂²⋊Dic₄₇	1	4	yes	—
597	C₂×D₄	C₂²⋊Dic₄₇	1	4	yes	—
598	C₂×D₄	C₂²⋊Dic₄₇	1	4	yes	—
599	C₂×D₄	C₂²⋊Dic₄₇	1	4	yes	—
600	C₂×D₄	C₂²×Dic₄₇	1	4	yes	—
601	C₂×D₄	C₂²×Dic₄₇	1	2	yes	complemented
602	C₂×D₄	C₂×C₂²⋊D₄₇	1	4	yes	—
603	C₂×D₄	C₂×C₂²⋊D₄₇	1	4	yes	—
604	C₂²×C₄	—	2	1	no	—
605	C₂²×C₄	—	2	2	no	—
606	C₂²×C₄	—	2	2	no	—
607	C₂²×C₄	—	4	1	no	—
608	C₂²×C₄	—	4	1	no	—
609	C₂²×C₄	—	4	1	no	—
610	C₂²×C₄	—	4	1	no	—
611	C₂²×C₄	—	94	16	no	—
612	C₂²×C₄	—	94	2	no	—
613	C₂²×C₄	—	94	2	no	—
614	C₂²×C₄	—	376	8	no	—
615	C₂²×C₄	—	188	1	no	—
616	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
617	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
618	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
619	C₂²×C₄	#10625352	1	1	yes	characteristic
620	C₂²×C₄	#10625352	1	1	yes	characteristic
621	C₂²×C₄	#10625352	1	1	yes	characteristic
622	C₂²×C₄	#10625352	1	1	yes	characteristic
623	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
624	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
625	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
626	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
627	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
628	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
629	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
630	SD₁₆	—	2	16	no	—
631	D₈	—	2	16	no	—
632	M₁₆	—	2	2	no	—
633	M₁₆	—	2	2	no	—
634	M₁₆	—	2	2	no	—
635	M₁₆	—	2	2	no	—
636	M₁₆	—	94	2	no	—
637	M₁₆	—	94	2	no	—
638	M₁₆	—	188	1	no	—
639	M₁₆	—	188	1	no	—
640	C₂×C₈	—	2	2	no	—
641	C₂×C₈	—	2	2	no	—
642	C₂×C₈	—	94	2	no	—
643	C₂×C₈	—	188	1	no	—
644	C₂×C₈	—	188	1	no	—
645	C₂×C₈	C₂²×Dic₄₇	1	4	yes	complemented
646	C₄⋊C₄	—	94	2	no	—
647	C₄⋊C₄	—	94	2	no	—
648	C₄⋊C₄	—	94	2	no	—
649	C₄⋊C₄	—	94	2	no	—
650	C₄⋊C₄	—	94	2	no	—
651	C₄⋊C₄	—	188	1	no	—
652	C₂²⋊C₄	—	47	4	no	—
653	C₂²⋊C₄	—	94	16	no	—
654	C₂²⋊C₄	—	94	2	no	—
655	C₂²⋊C₄	—	94	2	no	—
656	C₂²⋊C₄	—	94	2	no	—
657	C₂²⋊C₄	—	94	2	no	—
658	C₂²⋊C₄	—	188	1	no	—
659	C₄²	—	47	4	no	—
660	C₄²	—	94	2	no	—
661	C₄²	—	94	2	no	—
662	C₄²	—	94	2	no	—
663	C₄²	—	94	2	no	—
664	C₄²	—	188	1	no	—
665	C₂³	—	2	4	no	—
666	C₂³	—	2	4	no	—
667	C₂³	—	2	4	no	—
668	C₂³	—	2	4	no	—
669	C₂³	—	2	4	no	—
670	C₂³	—	2	4	no	—
671	C₂³	—	2	4	no	—
672	C₂³	—	2	2	no	—
673	C₂³	—	4	2	no	—
674	C₂³	—	4	8	no	—
675	C₂³	—	4	1	no	—
676	C₂³	—	4	1	no	—
677	C₂³	—	8	4	no	—
678	C₂³	—	8	4	no	—
679	C₂³	—	8	2	no	—
680	C₂³	—	8	4	no	—
681	C₂³	—	8	4	no	—
682	C₂³	—	8	4	no	—
683	C₂³	—	8	4	no	—
684	C₂³	D₄×Dic₄₇	1	1	yes	characteristic
685	C₂³	D₄×Dic₄₇	1	1	yes	characteristic
686	C₂³	#13093992	1	1	yes	characteristic
687	C₂³	#13093992	1	1	yes	characteristic
688	C₂³	#13093996	1	1	yes	characteristic
689	C₂³	#13093996	1	1	yes	characteristic
690	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
691	Q₈	—	2	2	no	—
692	Q₈	—	2	2	no	—
693	Q₈	—	4	1	no	—
694	Q₈	—	4	1	no	—
695	D₄	—	2	4	no	—
696	D₄	—	2	4	no	—
697	D₄	—	2	4	no	—
698	D₄	—	2	4	no	—
699	D₄	—	2	2	no	—
700	D₄	—	2	4	no	—
701	D₄	—	2	2	no	—
702	D₄	—	2	4	no	—
703	D₄	—	2	4	no	—
704	D₄	—	4	2	no	—
705	D₄	—	4	2	no	—
706	D₄	—	4	2	no	—
707	D₄	—	4	2	no	—
708	D₄	—	4	1	no	—
709	D₄	—	4	1	no	—
710	D₄	C₂×C₂²⋊Dic₄₇	1	8	yes	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	4	2	no	—
715	C₂×C₄	—	4	2	no	—
716	C₂×C₄	—	4	2	no	—
717	C₂×C₄	—	4	2	no	—
718	C₂×C₄	—	94	4	no	—
719	C₂×C₄	—	94	4	no	—
720	C₂×C₄	—	376	2	no	—
721	C₂×C₄	—	376	16	no	—
722	C₂×C₄	—	188	2	no	—
723	C₂×C₄	—	188	4	no	—
724	C₂×C₄	—	188	4	no	—
725	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
726	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
727	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
728	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
729	C₂×C₄	D₄×Dic₄₇	1	1	yes	characteristic
730	C₂×C₄	D₄×Dic₄₇	1	1	yes	characteristic
731	C₂×C₄	D₄×Dic₄₇	1	1	yes	characteristic
732	C₂×C₄	D₄×Dic₄₇	1	1	yes	characteristic
733	C₂×C₄	D₄×Dic₄₇	1	1	yes	characteristic
734	C₂×C₄	D₄×Dic₄₇	1	1	yes	characteristic
735	C₂×C₄	#13093992	1	1	yes	characteristic
736	C₂×C₄	#13093992	1	1	yes	characteristic
737	C₂×C₄	#13093996	1	1	yes	characteristic
738	C₂×C₄	#13093996	1	1	yes	characteristic
739	C₂×C₄	#13093996	1	1	yes	characteristic
740	C₂×C₄	#13093996	1	1	yes	characteristic
741	C₂×C₄	#13093996	1	1	yes	characteristic
742	C₂×C₄	#13093996	1	1	yes	characteristic
743	C₂×C₄	#13094005	1	1	yes	characteristic
744	C₂×C₄	#13094005	1	1	yes	characteristic
745	C₂×C₄	#13094005	1	1	yes	characteristic
746	C₂×C₄	#13094005	1	1	yes	characteristic
747	C₂×C₄	C₂³×Dic₄₇	1	1	yes	characteristic
748	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
749	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
750	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
751	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
752	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
753	C₈	—	2	4	no	—
754	C₈	—	188	2	no	—
755	C₂²	—	2	2	no	—
756	C₂²	—	2	2	no	—
757	C₂²	—	2	2	no	—
758	C₂²	—	2	8	no	—
759	C₂²	—	4	1	no	—
760	C₂²	—	4	1	no	—
761	C₂²	—	4	1	no	—
762	C₂²	—	4	1	no	—
763	C₂²	—	4	8	no	—
764	C₂²	—	4	8	no	—
765	C₂²	—	4	8	no	—
766	C₂²	—	4	2	no	—
767	C₂²	—	8	4	no	—
768	C₂²	—	8	4	no	—
769	C₂²	—	8	4	no	—
770	C₂²	—	8	4	no	—
771	C₂²	—	8	2	no	—
772	C₂²	—	8	2	no	—
773	C₂²	—	8	2	no	—
774	C₂²	#15689003	1	1	yes	characteristic
775	C₂²	#15689003	1	1	yes	characteristic
776	C₂²	#15689003	1	1	yes	characteristic
777	C₂²	#15689003	1	1	yes	characteristic
778	C₂²	C₂×D₄×Dic₄₇	1	1	yes	characteristic
779	C₂²	C₂×#13093992	1	1	yes	characteristic
780	C₂²	C₂×#13093996	1	1	yes	characteristic
781	C₄	—	4	2	no	—
782	C₄	—	376	2	no	—
783	C₄	—	188	4	no	—
784	C₄	—	188	4	no	—
785	C₄	#15689003	1	1	yes	characteristic
786	C₄	#15689003	1	1	yes	characteristic
787	C₄	#15689003	1	1	yes	characteristic
788	C₄	#15689003	1	1	yes	characteristic
789	C₄	C₂²×C₂²⋊Dic₄₇	1	1	yes	characteristic
790	C₄	C₂×D₄×Dic₄₇	1	1	yes	characteristic
791	C₄	C₂×#13093996	1	1	yes	characteristic
792	C₄	C₂×#13094005	1	1	yes	characteristic
793	C₂	—	2	1	no	—
794	C₂	—	2	1	no	—
795	C₂	—	2	1	no	—
796	C₂	—	2	1	no	—
797	C₂	—	2	1	no	—
798	C₂	—	2	1	no	—
799	C₂	—	4	8	no	—
800	C₂	—	8	2	no	—
801	C₂	#20243877	1	2	yes	direct product factor
802	C₂	C₂×#15689003	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#15689003
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting, prime radical	C₂²×AGL(1,ℤ/8)×C₄₇	C₂
socle	C₂²×C₄₇	#386
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	C₂²×AGL(1,ℤ/8)	D₄₇
hypocenter	C₄₇	C₂×#1904
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂²×AGL(1,ℤ/8)

Complements

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

N	H ≅ G/N	type
1. C₂×#15689598	C₂	semidirect
2. C₂×#15689140	C₂	semidirect
3. C₂×#15689128	C₂	semidirect
4. C₂×#15689097	C₂	semidirect
5. #20243877	C₂	direct (N × H)
6. C₂×#15688894	C₂	semidirect
7. C₂×#15688880	C₂	semidirect
13. #15689598	C₂²	semidirect
21. #15689140	C₂²	semidirect
24. #15689128	C₂²	semidirect
27. #15689097	C₂²	semidirect
29. #15688894	C₂²	semidirect
30. #15688880	C₂²	semidirect
37. C₂×AGL(1,ℤ/8)×C₄₇	C₄	semidirect
39. C₂²×SD₁₆×C₄₇	C₄	semidirect
40. C₂²×D₈×C₄₇	C₄	semidirect
92. C₂×#41×C₄₇	C₂×C₄	semidirect
94. C₂²×Q₈×C₄₇	C₂×C₄	semidirect
105. C₂²×D₄×C₄₇	C₂×C₄	semidirect
119. C₂×SD₁₆×C₄₇	C₂×C₄	semidirect
122. C₂×D₈×C₄₇	C₂×C₄	semidirect
127. C₂×M₁₆×C₄₇	C₂×C₄	semidirect
129. C₂²×C₈×C₄₇	C₂×C₄	semidirect
161. C₂×Q₈×C₄₇	C₂²×C₄	semidirect
199. C₂×D₄×C₄₇	C₂²×C₄	semidirect
236. C₂×C₈×C₄₇	C₂²×C₄	semidirect
408. C₂×C₄₇	#1904	semidirect
416. C₂×AGL(1,ℤ/8)	Dic₄₇	semidirect
418. C₂²×SD₁₆	Dic₄₇	semidirect
419. C₂²×D₈	Dic₄₇	semidirect
443. C₄₇	C₂×#1904	semidirect
455. C₂×#41	C₂×Dic₄₇	semidirect
457. C₂²×Q₈	C₂×Dic₄₇	semidirect
468. C₂²×D₄	C₂×Dic₄₇	semidirect
483. C₂×SD₁₆	C₂×Dic₄₇	semidirect
486. C₂×D₈	C₂×Dic₄₇	semidirect
497. C₂×M₁₆	C₂×Dic₄₇	semidirect
500. C₂²×C₈	C₂×Dic₄₇	semidirect
563. C₂×Q₈	C₂²×Dic₄₇	semidirect
601. C₂×D₄	C₂²×Dic₄₇	semidirect
645. C₂×C₈	C₂²×Dic₄₇	semidirect
801. C₂	#20243877	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#15689598	2
C₂×#15689140	2
C₂×#15689128	2
C₂×#15689097	2
#20243877	2
C₂×#15688894	2
C₂×#15688880	2
C₂²×AGL(1,ℤ/8)×C₄₇	2
C₂×#1904	47

Subgroups — C2×#20243877 #26218162

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20243877 #26218162