Subgroups — C₂×#444×D₄₇ #27080571

Order 12032.

2710 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#135×D₄₇	C₂	1	1	yes	maximal, characteristic
2	C₂×#131×D₄₇	C₂	1	2	yes	maximal, complemented
3	C₂×#15689246	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15689245	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689244	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689243	C₂	1	2	yes	maximal, complemented
7	C₂×#15689242	C₂	1	2	yes	maximal, complemented
8	#444×D₄₇	C₂	1	16	yes	maximal, direct product factor
9	C₂×#108×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#104×D₄₇	C₂	1	2	yes	maximal, complemented
11	C₂×#97×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄₇×#444	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#41×D₄₇	C₂²	1	2	yes	—
14	C₂×#13094047	C₄	1	1	yes	characteristic, complemented
15	C₂×#13094046	C₂²	1	1	yes	characteristic
16	C₂×#13094045	C₄	1	2	yes	complemented
17	C₂×#13094044	C₂²	1	2	yes	—
18	C₂×#13094043	C₄	1	1	yes	characteristic, complemented
19	#135×D₄₇	C₄	1	8	yes	complemented
20	#135×D₄₇	C₂²	1	8	yes	—
21	C₂×Q₁₆×D₄₇	C₄	1	1	yes	characteristic, complemented
22	C₂×SD₁₆×D₄₇	C₄	1	2	yes	complemented
23	C₂×D₈×D₄₇	C₄	1	1	yes	characteristic, complemented
24	C₂×#13094032	—	2	2	no	—
25	C₂×#13094032	C₂²	1	2	yes	complemented
26	C₂×#13094031	C₂²	1	2	yes	complemented
27	C₂×#13094030	—	2	2	no	—
28	C₂×#13094030	C₂²	1	2	yes	complemented
29	#131×D₄₇	—	2	8	no	—
30	#131×D₄₇	C₂²	1	16	yes	complemented
31	C₂×M₁₆×D₄₇	—	2	2	no	—
32	C₂×M₁₆×D₄₇	C₂²	1	2	yes	—
33	C₂²×C₈×D₄₇	—	2	2	no	—
34	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
35	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
36	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
37	#15689246	C₂²	1	8	yes	complemented
38	#15689245	C₂²	1	8	yes	complemented
39	#15689244	C₂²	1	8	yes	complemented
40	#15689243	C₂²	1	16	yes	complemented
41	#15689242	C₂²	1	16	yes	complemented
42	C₂×#13093960	C₂²	1	1	yes	characteristic, complemented
43	C₂×#13093959	C₂²	1	2	yes	complemented
44	#108×D₄₇	C₂²	1	8	yes	complemented
45	C₂×#13093952	C₂²	1	2	yes	complemented
46	C₂×#13093951	C₂²	1	2	yes	complemented
47	C₂×#13093950	C₂²	1	2	yes	complemented
48	#104×D₄₇	C₂²	1	16	yes	complemented
49	C₂×#13093935	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13093934	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13093934	C₂²	1	1	yes	characteristic, complemented
52	#97×D₄₇	C₂²	1	8	yes	complemented
53	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
54	C₂×#131×C₄₇	C₂²	1	2	yes	complemented
55	C₄₇×#444	C₂²	1	8	yes	complemented
56	C₂×#108×C₄₇	C₂²	1	1	yes	characteristic, complemented
57	C₂×#104×C₄₇	C₂²	1	2	yes	complemented
58	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic, complemented
59	C₂×#10625354	C₂×C₄	1	2	yes	—
60	C₂×#10625350	—	2	2	no	—
61	C₂×#10625350	C₂³	1	2	yes	—
62	C₂×#10625352	—	2	2	no	—
63	C₂×#10625352	C₂×C₄	1	2	yes	—
64	#41×D₄₇	—	2	4	no	—
65	#41×D₄₇	—	2	4	no	—
66	#41×D₄₇	C₂×C₄	1	8	yes	—
67	#41×D₄₇	C₂³	1	8	yes	—
68	C₂×Q₈×D₄₇	C₂×C₄	1	2	yes	—
69	C₂×D₄×D₄₇	—	2	2	no	—
70	C₂×D₄×D₄₇	C₂×C₄	1	2	yes	—
71	C₂²×C₄×D₄₇	—	2	2	no	—
72	C₂²×C₄×D₄₇	—	2	1	no	—
73	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
74	#13094047	C₂×C₄	1	8	yes	complemented
75	#13094046	C₂×C₄	1	4	yes	complemented
76	#13094046	C₂³	1	4	yes	—
77	#13094045	C₂×C₄	1	16	yes	complemented
78	#13094044	C₂×C₄	1	8	yes	complemented
79	#13094044	C₂³	1	8	yes	—
80	#13094043	C₂×C₄	1	8	yes	complemented
81	C₂×Dic₁₈₈	C₂×C₄	1	1	yes	characteristic, complemented
82	C₂×#10625337	C₂×C₄	1	2	yes	complemented
83	Q₁₆×D₄₇	C₂×C₄	1	8	yes	complemented
84	C₂×#10625325	C₂×C₄	1	2	yes	complemented
85	C₂×#10625335	C₂×C₄	1	2	yes	complemented
86	C₂×#10625336	C₂×C₄	1	2	yes	complemented
87	SD₁₆×D₄₇	C₂×C₄	1	16	yes	complemented
88	C₂×D₃₇₆	C₂×C₄	1	1	yes	characteristic, complemented
89	C₂×#10625334	C₂×C₄	1	2	yes	complemented
90	D₈×D₄₇	C₂×C₄	1	8	yes	complemented
91	#13094032	—	2	4	no	—
92	#13094032	—	2	16	no	—
93	#13094032	C₂³	1	8	yes	complemented
94	#13094031	—	2	4	no	—
95	#13094031	C₂³	1	8	yes	complemented
96	#13094030	—	2	4	no	—
97	#13094030	—	2	16	no	—
98	#13094030	C₂³	1	8	yes	complemented
99	C₂×#10625329	—	2	2	no	—
100	C₂×#10625329	C₂³	1	2	yes	—
101	C₂×#10625324	—	2	2	no	—
102	C₂×#10625324	—	2	2	no	—
103	C₂×#10625324	—	2	2	no	—
104	M₁₆×D₄₇	—	2	4	no	—
105	M₁₆×D₄₇	—	2	16	no	—
106	M₁₆×D₄₇	C₂³	1	8	yes	—
107	C₂²×C₄₇⋊C₈	—	2	2	no	—
108	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
109	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
110	C₂×C₈×D₄₇	—	2	2	no	—
111	C₂×C₈×D₄₇	—	2	2	no	—
112	C₂×C₈×D₄₇	—	2	2	no	—
113	C₂×C₈×D₄₇	—	2	16	no	—
114	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
115	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
116	C₂×C₈×D₄₇	C₂×C₄	1	4	yes	—
117	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
118	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
119	C₂×C₈×D₄₇	D₄	1	2	yes	—
120	C₂×C₈×D₄₇	D₄	1	4	yes	—
121	C₂×C₈×D₄₇	D₄	1	2	yes	—
122	C₂×C₈×D₄₇	C₂³	1	4	yes	—
123	C₂×C₈×D₄₇	C₂³	1	4	yes	—
124	C₂×C₄×Dic₄₇	—	2	1	no	—
125	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
126	C₄²×D₄₇	—	2	2	no	—
127	C₄²×D₄₇	C₂³	1	4	yes	—
128	#13093960	C₂³	1	4	yes	complemented
129	#13093959	C₂³	1	8	yes	complemented
130	#13093952	C₂³	1	8	yes	complemented
131	#13093951	C₂³	1	8	yes	complemented
132	#13093950	C₂³	1	8	yes	complemented
133	#13093935	C₂³	1	4	yes	complemented
134	#13093934	C₂³	1	4	yes	complemented
135	#13093934	C₂³	1	4	yes	complemented
136	C₂×#41×C₄₇	C₂³	1	2	yes	—
137	#135×C₄₇	C₂×C₄	1	4	yes	complemented
138	#135×C₄₇	C₂³	1	4	yes	—
139	C₂×Q₁₆×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
140	C₂×SD₁₆×C₄₇	C₂×C₄	1	2	yes	complemented
141	C₂×D₈×C₄₇	C₂×C₄	1	1	yes	characteristic, complemented
142	#131×C₄₇	—	2	4	no	—
143	#131×C₄₇	C₂³	1	8	yes	complemented
144	C₂×M₁₆×C₄₇	—	2	2	no	—
145	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
146	C₂²×C₈×C₄₇	—	2	2	no	—
147	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
149	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
150	#108×C₄₇	C₂³	1	4	yes	complemented
151	#104×C₄₇	C₂³	1	8	yes	complemented
152	#97×C₄₇	C₂³	1	4	yes	complemented
153	C₂³×D₄₇	—	2	2	no	—
154	C₂³×D₄₇	#41	1	1	yes	characteristic
155	#41×C₄₇	—	2	2	no	—
156	#41×C₄₇	—	2	2	no	—
157	#41×C₄₇	C₂²×C₄	1	4	yes	—
158	#41×C₄₇	C₂⁴	1	4	yes	—
159	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
160	C₂×D₄×C₄₇	—	2	2	no	—
161	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
162	C₂²×C₄×C₄₇	—	2	2	no	—
163	C₂²×C₄×C₄₇	—	2	1	no	—
164	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
165	C₂×C₂²⋊D₄₇	—	2	2	no	—
166	C₂×C₂²⋊D₄₇	—	2	2	no	—
167	C₂×C₂²⋊D₄₇	—	2	2	no	—
168	C₂²×Dic₄₇	—	2	2	no	—
169	C₂²×Dic₄₇	—	2	1	no	—
170	C₂²×Dic₄₇	#41	1	1	yes	characteristic
171	#10625354	—	2	4	no	—
172	#10625354	C₂²×C₄	1	8	yes	—
173	Q₈×D₄₇	—	2	4	no	—
174	Q₈×D₄₇	C₂²×C₄	1	8	yes	—
175	#10625352	—	2	8	no	—
176	#10625352	—	2	8	no	—
177	#10625352	—	2	4	no	—
178	#10625352	C₂²×C₄	1	8	yes	—
179	D₄×D₄₇	—	2	8	no	—
180	D₄×D₄₇	—	2	8	no	—
181	D₄×D₄₇	—	2	4	no	—
182	D₄×D₄₇	C₂²×C₄	1	8	yes	—
183	#10625350	—	2	2	no	—
184	#10625350	—	2	2	no	—
185	#10625350	—	2	8	no	—
186	#10625350	—	2	8	no	—
187	#10625350	C₂²×C₄	1	4	yes	—
188	#10625350	C₂⁴	1	4	yes	—
189	C₂×D₁₈₈	—	2	2	no	—
190	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
191	C₂×C₄×D₄₇	—	2	2	no	—
192	C₂×C₄×D₄₇	—	2	2	no	—
193	C₂×C₄×D₄₇	—	2	2	no	—
194	C₂×C₄×D₄₇	—	2	8	no	—
195	C₂×C₄×D₄₇	—	2	8	no	—
196	C₂×C₄×D₄₇	—	2	4	no	—
197	C₂×C₄×D₄₇	—	4	4	no	—
198	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
199	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
200	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
201	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
202	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
203	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
204	C₂×C₄×D₄₇	#41	1	2	yes	—
205	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
206	C₂×Dic₉₄	—	2	2	no	—
207	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
208	Q₁₆×C₄₇	C₂²×C₄	1	4	yes	complemented
209	SD₁₆×C₄₇	C₂²×C₄	1	8	yes	complemented
210	D₈×C₄₇	C₂²×C₄	1	4	yes	complemented
211	M₁₆×C₄₇	—	2	2	no	—
212	M₁₆×C₄₇	—	2	8	no	—
213	M₁₆×C₄₇	C₂⁴	1	4	yes	—
214	C₂×C₈×C₄₇	—	2	2	no	—
215	C₂×C₈×C₄₇	—	2	8	no	—
216	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
217	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
218	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
219	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
220	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
221	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
222	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
223	C₄²×C₄₇	—	2	1	no	—
224	C₄²×C₄₇	C₂⁴	1	2	yes	—
225	#10625337	C₂²×C₄	1	8	yes	complemented
226	#10625336	C₂²×C₄	1	8	yes	complemented
227	#10625335	C₂²×C₄	1	8	yes	complemented
228	#10625334	C₂²×C₄	1	8	yes	complemented
229	C₄×Dic₄₇	—	2	1	no	—
230	C₄×Dic₄₇	—	2	4	no	—
231	C₄×Dic₄₇	C₂⁴	1	2	yes	—
232	#10625329	—	2	2	no	—
233	#10625329	—	2	8	no	—
234	#10625329	C₂⁴	1	4	yes	—
235	C₂×C₄₇⋊C₈	—	2	2	no	—
236	C₂×C₄₇⋊C₈	—	2	8	no	—
237	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
238	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
239	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
240	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
241	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
242	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
243	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
244	Dic₁₈₈	C₂²×C₄	1	4	yes	complemented
245	D₃₇₆	C₂²×C₄	1	4	yes	complemented
246	#10625325	C₂²×C₄	1	8	yes	complemented
247	#10625324	—	2	8	no	—
248	#10625324	—	2	8	no	—
249	#10625324	—	2	8	no	—
250	C₈×D₄₇	—	2	8	no	—
251	C₈×D₄₇	—	2	8	no	—
252	C₈×D₄₇	—	2	8	no	—
253	C₈×D₄₇	C₂²×C₄	1	4	yes	—
254	C₈×D₄₇	C₂²×C₄	1	4	yes	—
255	C₈×D₄₇	C₂²×C₄	1	4	yes	—
256	C₈×D₄₇	C₂²×C₄	1	4	yes	—
257	C₈×D₄₇	C₂×D₄	1	8	yes	—
258	C₈×D₄₇	C₂×D₄	1	8	yes	—
259	C₂³×C₄₇	—	2	2	no	—
260	C₂³×C₄₇	C₂×#41	1	1	yes	characteristic
261	C₂²×D₄₇	—	2	4	no	—
262	C₂²×D₄₇	—	2	2	no	—
263	C₂²×D₄₇	—	2	8	no	—
264	C₂²×D₄₇	—	4	8	no	—
265	C₂²×D₄₇	C₄×D₄	1	1	yes	characteristic
266	C₂²×D₄₇	C₄×D₄	1	2	yes	—
267	C₂²×D₄₇	C₄×D₄	1	1	yes	characteristic
268	C₂²×D₄₇	C₂×#41	1	2	yes	—
269	Q₈×C₄₇	—	2	2	no	—
270	Q₈×C₄₇	C₂³×C₄	1	4	yes	—
271	D₄×C₄₇	—	2	4	no	—
272	D₄×C₄₇	—	2	4	no	—
273	D₄×C₄₇	—	2	2	no	—
274	D₄×C₄₇	C₂³×C₄	1	4	yes	—
275	C₂×C₄×C₄₇	—	2	2	no	—
276	C₂×C₄×C₄₇	—	2	4	no	—
277	C₂×C₄×C₄₇	—	2	4	no	—
278	C₂×C₄×C₄₇	—	2	2	no	—
279	C₂×C₄×C₄₇	—	4	2	no	—
280	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
281	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
282	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
283	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
284	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
285	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
286	C₂²⋊D₄₇	—	2	4	no	—
287	C₂²⋊D₄₇	—	2	4	no	—
288	C₂²⋊D₄₇	—	2	8	no	—
289	C₂²⋊D₄₇	—	2	8	no	—
290	C₂×Dic₄₇	—	2	2	no	—
291	C₂×Dic₄₇	—	2	8	no	—
292	C₂×Dic₄₇	—	2	2	no	—
293	C₂×Dic₄₇	—	4	2	no	—
294	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
295	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
296	C₂×Dic₄₇	C₄×D₄	1	2	yes	—
297	C₂×Dic₄₇	C₂×#41	1	2	yes	—
298	D₁₈₈	—	2	8	no	—
299	D₁₈₈	—	2	2	no	—
300	D₁₈₈	C₂³×C₄	1	4	yes	—
301	C₄×D₄₇	—	2	8	no	—
302	C₄×D₄₇	—	2	4	no	—
303	C₄×D₄₇	—	2	4	no	—
304	C₄×D₄₇	—	2	8	no	—
305	C₄×D₄₇	—	4	8	no	—
306	C₄×D₄₇	C₄×D₄	1	2	yes	—
307	C₄×D₄₇	C₄×D₄	1	2	yes	—
308	C₄×D₄₇	C₄×D₄	1	2	yes	—
309	C₄×D₄₇	C₄×D₄	1	2	yes	—
310	C₄×D₄₇	C₂³×C₄	1	2	yes	—
311	C₄×D₄₇	C₂³×C₄	1	2	yes	—
312	C₄×D₄₇	C₂²×D₄	1	2	yes	—
313	C₄×D₄₇	C₂²×D₄	1	2	yes	—
314	Dic₉₄	—	2	2	no	—
315	Dic₉₄	—	2	8	no	—
316	Dic₉₄	C₂³×C₄	1	4	yes	—
317	C₈×C₄₇	—	2	4	no	—
318	C₈×C₄₇	C₂³×C₄	1	2	yes	—
319	C₈×C₄₇	C₂³×C₄	1	2	yes	—
320	C₈×C₄₇	C₂²×D₄	1	4	yes	—
321	C₄₇⋊C₈	—	2	4	no	—
322	C₄₇⋊C₈	C₂³×C₄	1	2	yes	—
323	C₄₇⋊C₈	C₂³×C₄	1	2	yes	—
324	C₄₇⋊C₈	C₂²×D₄	1	4	yes	—
325	C₂²×#444	—	47	1	no	maximal, Sylow
326	C₂²×C₄₇	—	2	2	no	—
327	C₂²×C₄₇	—	2	4	no	—
328	C₂²×C₄₇	—	4	4	no	—
329	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
330	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
331	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
332	C₂×D₄₇	—	2	2	no	—
333	C₂×D₄₇	—	2	4	no	—
334	C₂×D₄₇	—	2	4	no	—
335	C₂×D₄₇	—	2	4	no	—
336	C₂×D₄₇	—	4	4	no	—
337	C₂×D₄₇	—	4	16	no	—
338	C₂×D₄₇	#444	1	4	yes	direct product factor
339	C₂×D₄₇	C₂×C₄×D₄	1	2	yes	—
340	C₂×D₄₇	C₂×C₄×D₄	1	2	yes	—
341	C₄×C₄₇	—	2	4	no	—
342	C₄×C₄₇	—	4	2	no	—
343	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
344	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
345	C₄×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
346	C₄×C₄₇	C₂³×D₄	1	1	yes	characteristic
347	Dic₄₇	—	2	4	no	—
348	Dic₄₇	—	4	2	no	—
349	Dic₄₇	C₂×C₄×D₄	1	2	yes	—
350	Dic₄₇	C₂×C₄×D₄	1	2	yes	—
351	C₂²×#135	—	47	1	no	—
352	C₂²×#131	—	47	2	no	—
353	C₂×#444	—	47	16	no	—
354	C₂×#444	—	47	1	no	—
355	C₂×#444	—	47	2	no	—
356	C₂×#444	—	47	1	no	—
357	C₂×#444	—	47	1	no	—
358	C₂×#444	—	47	2	no	—
359	C₂×#444	D₄₇	1	1	yes	characteristic, direct product factor
360	C₂²×#108	—	47	1	no	—
361	C₂²×#104	—	47	2	no	—
362	C₂²×#97	—	47	1	no	—
363	C₂×C₄₇	—	2	1	no	—
364	C₂×C₄₇	—	2	1	no	—
365	C₂×C₄₇	—	4	4	no	—
366	C₂×C₄₇	C₂×#444	1	2	yes	complemented
367	C₂×C₄₇	C₂²×C₄×D₄	1	1	yes	characteristic
368	D₄₇	—	2	2	no	—
369	D₄₇	—	4	4	no	—
370	D₄₇	C₂×#444	1	4	yes	direct product factor
371	C₂²×#41	—	47	2	no	—
372	C₂×#135	—	47	2	no	—
373	C₂×#135	—	47	8	no	—
374	C₂×#135	—	47	8	no	—
375	C₂×#135	—	47	1	no	—
376	C₂×#135	—	47	2	no	—
377	C₂×#135	—	47	1	no	—
378	C₂×#135	—	47	1	no	—
379	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
380	C₂²×Q₁₆	—	47	1	no	—
381	C₂²×SD₁₆	—	47	2	no	—
382	C₂²×D₈	—	47	1	no	—
383	C₂×#131	—	47	2	no	—
384	C₂×#131	—	47	16	no	—
385	C₂×#131	—	47	2	no	—
386	C₂×#131	—	47	2	no	—
387	C₂×#131	—	94	2	no	—
388	C₂×#131	—	94	2	no	—
389	C₂×#131	—	94	8	no	—
390	C₂×#131	C₂×D₄₇	1	2	yes	complemented
391	C₂²×M₁₆	—	47	2	no	—
392	C₂²×M₁₆	—	94	2	no	—
393	C₂³×C₈	—	47	1	no	—
394	C₂³×C₈	—	47	1	no	—
395	C₂³×C₈	—	94	2	no	—
396	C₂²×C₄²	—	47	1	no	—
397	#444	—	47	8	no	—
398	#444	—	47	16	no	—
399	#444	—	47	8	no	—
400	#444	—	47	16	no	—
401	#444	—	47	8	no	—
402	#444	C₂×D₄₇	1	8	yes	direct product factor
403	C₂×#108	—	47	2	no	—
404	C₂×#108	—	47	1	no	—
405	C₂×#108	—	47	8	no	—
406	C₂×#108	C₂×D₄₇	1	1	yes	characteristic, complemented
407	C₂×#104	—	47	2	no	—
408	C₂×#104	—	47	2	no	—
409	C₂×#104	—	47	2	no	—
410	C₂×#104	—	47	16	no	—
411	C₂×#104	C₂×D₄₇	1	2	yes	complemented
412	C₂×#97	—	47	1	no	—
413	C₂×#97	—	47	1	no	—
414	C₂×#97	—	47	1	no	—
415	C₂×#97	—	47	8	no	—
416	C₂×#97	C₂×D₄₇	1	1	yes	characteristic, complemented
417	C₄₇	C₂²×#444	1	1	yes	characteristic, complemented, Sylow
418	C₂×#41	—	47	8	no	—
419	C₂×#41	—	47	8	no	—
420	C₂×#41	—	47	2	no	—
421	C₂×#41	—	47	2	no	—
422	C₂×#41	—	47	2	no	—
423	C₂×#41	—	94	2	no	—
424	C₂×#41	—	94	2	no	—
425	C₂×#41	—	94	4	no	—
426	C₂×#41	—	94	4	no	—
427	C₂×#41	C₂²×D₄₇	1	2	yes	—
428	C₂²×Q₈	—	47	2	no	—
429	C₂²×D₄	—	47	2	no	—
430	C₂²×D₄	—	94	2	no	—
431	C₂³×C₄	—	47	1	no	—
432	C₂³×C₄	—	94	2	no	—
433	C₂³×C₄	—	94	1	no	—
434	#135	—	47	8	no	—
435	#135	—	47	8	no	—
436	#135	—	47	8	no	—
437	#135	—	47	16	no	—
438	#135	—	47	8	no	—
439	#135	—	47	4	no	—
440	#135	—	47	4	no	—
441	#135	C₄×D₄₇	1	4	yes	complemented
442	#135	C₂²×D₄₇	1	4	yes	—
443	C₂×Q₁₆	—	47	2	no	—
444	C₂×Q₁₆	—	47	8	no	—
445	C₂×Q₁₆	—	47	1	no	—
446	C₂×Q₁₆	C₄×D₄₇	1	1	yes	characteristic, complemented
447	C₂×SD₁₆	—	47	2	no	—
448	C₂×SD₁₆	—	47	2	no	—
449	C₂×SD₁₆	—	47	16	no	—
450	C₂×SD₁₆	—	47	2	no	—
451	C₂×SD₁₆	C₄×D₄₇	1	2	yes	complemented
452	C₂×D₈	—	47	2	no	—
453	C₂×D₈	—	47	8	no	—
454	C₂×D₈	—	47	1	no	—
455	C₂×D₈	C₄×D₄₇	1	1	yes	characteristic, complemented
456	#131	—	2	4	no	—
457	#131	—	47	8	no	—
458	#131	—	47	8	no	—
459	#131	—	47	8	no	—
460	#131	—	94	16	no	—
461	#131	—	94	4	no	—
462	#131	—	94	16	no	—
463	#131	—	94	4	no	—
464	#131	—	94	4	no	—
465	#131	C₂²×D₄₇	1	8	yes	complemented
466	C₂×M₁₆	—	2	2	no	—
467	C₂×M₁₆	—	47	2	no	—
468	C₂×M₁₆	—	47	8	no	—
469	C₂×M₁₆	—	94	2	no	—
470	C₂×M₁₆	—	94	2	no	—
471	C₂×M₁₆	—	94	16	no	—
472	C₂×M₁₆	—	94	2	no	—
473	C₂×M₁₆	—	94	4	no	—
474	C₂×M₁₆	—	94	2	no	—
475	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
476	C₂²×C₈	—	2	2	no	—
477	C₂²×C₈	—	47	1	no	—
478	C₂²×C₈	—	47	1	no	—
479	C₂²×C₈	—	47	1	no	—
480	C₂²×C₈	—	47	1	no	—
481	C₂²×C₈	—	47	1	no	—
482	C₂²×C₈	—	47	1	no	—
483	C₂²×C₈	—	47	4	no	—
484	C₂²×C₈	—	47	2	no	—
485	C₂²×C₈	—	47	4	no	—
486	C₂²×C₈	—	47	2	no	—
487	C₂²×C₈	—	47	4	no	—
488	C₂²×C₈	—	47	4	no	—
489	C₂²×C₈	—	94	2	no	—
490	C₂²×C₈	—	94	16	no	—
491	C₂²×C₈	—	94	2	no	—
492	C₂²×C₈	—	94	2	no	—
493	C₂²×C₈	—	94	2	no	—
494	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
495	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
496	C₂×C₄²	—	47	1	no	—
497	C₂×C₄²	—	47	4	no	—
498	C₂×C₄²	—	94	2	no	—
499	C₂×C₄²	—	94	1	no	—
500	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
501	#108	—	47	8	no	—
502	#108	—	47	4	no	—
503	#108	C₂²×D₄₇	1	4	yes	complemented
504	#104	—	47	8	no	—
505	#104	—	47	8	no	—
506	#104	—	47	8	no	—
507	#104	C₂²×D₄₇	1	8	yes	complemented
508	#97	—	47	4	no	—
509	#97	—	47	4	no	—
510	#97	—	47	4	no	—
511	#97	C₂²×D₄₇	1	4	yes	complemented
512	C₂⁴	—	47	1	no	—
513	C₂⁴	—	94	2	no	—
514	#41	—	2	2	no	—
515	#41	—	2	2	no	—
516	#41	—	47	8	no	—
517	#41	—	47	8	no	—
518	#41	—	47	4	no	—
519	#41	—	47	4	no	—
520	#41	—	94	8	no	—
521	#41	—	94	8	no	—
522	#41	—	94	8	no	—
523	#41	—	94	8	no	—
524	#41	—	94	4	no	—
525	#41	—	94	4	no	—
526	#41	—	94	2	no	—
527	#41	—	94	2	no	—
528	#41	C₂×C₄×D₄₇	1	4	yes	—
529	#41	C₂³×D₄₇	1	4	yes	—
530	C₂×Q₈	—	47	8	no	—
531	C₂×Q₈	—	47	2	no	—
532	C₂×Q₈	—	94	2	no	—
533	C₂×Q₈	—	94	4	no	—
534	C₂×Q₈	C₂×C₄×D₄₇	1	2	yes	—
535	C₂×D₄	—	2	2	no	—
536	C₂×D₄	—	47	8	no	—
537	C₂×D₄	—	47	2	no	—
538	C₂×D₄	—	94	2	no	—
539	C₂×D₄	—	94	4	no	—
540	C₂×D₄	—	94	2	no	—
541	C₂×D₄	—	94	8	no	—
542	C₂×D₄	—	94	8	no	—
543	C₂×D₄	—	94	2	no	—
544	C₂×D₄	—	94	2	no	—
545	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	1	no	—
548	C₂²×C₄	—	47	1	no	—
549	C₂²×C₄	—	47	1	no	—
550	C₂²×C₄	—	47	1	no	—
551	C₂²×C₄	—	47	2	no	—
552	C₂²×C₄	—	47	2	no	—
553	C₂²×C₄	—	47	1	no	—
554	C₂²×C₄	—	47	1	no	—
555	C₂²×C₄	—	47	2	no	—
556	C₂²×C₄	—	47	2	no	—
557	C₂²×C₄	—	94	8	no	—
558	C₂²×C₄	—	94	2	no	—
559	C₂²×C₄	—	94	8	no	—
560	C₂²×C₄	—	94	2	no	—
561	C₂²×C₄	—	94	4	no	—
562	C₂²×C₄	—	94	2	no	—
563	C₂²×C₄	—	94	2	no	—
564	C₂²×C₄	—	94	1	no	—
565	C₂²×C₄	—	188	4	no	—
566	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
567	Q₁₆	—	47	8	no	—
568	Q₁₆	—	47	4	no	—
569	Q₁₆	C₂×C₄×D₄₇	1	4	yes	complemented
570	SD₁₆	—	47	8	no	—
571	SD₁₆	—	47	8	no	—
572	SD₁₆	—	47	8	no	—
573	SD₁₆	C₂×C₄×D₄₇	1	8	yes	complemented
574	D₈	—	47	8	no	—
575	D₈	—	47	4	no	—
576	D₈	C₂×C₄×D₄₇	1	4	yes	complemented
577	M₁₆	—	2	2	no	—
578	M₁₆	—	2	8	no	—
579	M₁₆	—	47	4	no	—
580	M₁₆	—	94	8	no	—
581	M₁₆	—	94	8	no	—
582	M₁₆	—	94	8	no	—
583	M₁₆	—	94	2	no	—
584	M₁₆	—	94	8	no	—
585	M₁₆	C₂³×D₄₇	1	4	yes	—
586	C₂×C₈	—	2	2	no	—
587	C₂×C₈	—	2	8	no	—
588	C₂×C₈	—	47	1	no	—
589	C₂×C₈	—	47	1	no	—
590	C₂×C₈	—	47	2	no	—
591	C₂×C₈	—	47	2	no	—
592	C₂×C₈	—	47	2	no	—
593	C₂×C₈	—	47	2	no	—
594	C₂×C₈	—	47	2	no	—
595	C₂×C₈	—	47	4	no	—
596	C₂×C₈	—	47	4	no	—
597	C₂×C₈	—	47	4	no	—
598	C₂×C₈	—	47	4	no	—
599	C₂×C₈	—	47	8	no	—
600	C₂×C₈	—	47	8	no	—
601	C₂×C₈	—	94	8	no	—
602	C₂×C₈	—	94	8	no	—
603	C₂×C₈	—	94	8	no	—
604	C₂×C₈	—	94	2	no	—
605	C₂×C₈	—	94	8	no	—
606	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
607	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
608	C₂×C₈	C₂×C₄×D₄₇	1	2	yes	—
609	C₂×C₈	D₄×D₄₇	1	2	yes	—
610	C₂×C₈	D₄×D₄₇	1	2	yes	—
611	C₂×C₈	C₂³×D₄₇	1	2	yes	—
612	C₂×C₈	C₂³×D₄₇	1	2	yes	—
613	C₄²	—	2	1	no	—
614	C₄²	—	47	2	no	—
615	C₄²	—	94	4	no	—
616	C₄²	—	94	1	no	—
617	C₄²	C₂³×D₄₇	1	2	yes	—
618	C₂³	—	2	2	no	—
619	C₂³	—	47	1	no	—
620	C₂³	—	47	2	no	—
621	C₂³	—	47	1	no	—
622	C₂³	—	47	2	no	—
623	C₂³	—	94	4	no	—
624	C₂³	—	94	8	no	—
625	C₂³	—	94	2	no	—
626	C₂³	—	188	8	no	—
627	C₂³	#41×D₄₇	1	1	yes	characteristic
628	Q₈	—	2	2	no	—
629	Q₈	—	47	4	no	—
630	Q₈	—	94	8	no	—
631	Q₈	—	94	2	no	—
632	Q₈	C₂²×C₄×D₄₇	1	4	yes	—
633	D₄	—	2	4	no	—
634	D₄	—	2	4	no	—
635	D₄	—	2	2	no	—
636	D₄	—	47	4	no	—
637	D₄	—	94	8	no	—
638	D₄	—	94	8	no	—
639	D₄	—	94	8	no	—
640	D₄	—	94	4	no	—
641	D₄	—	94	4	no	—
642	D₄	—	94	2	no	—
643	D₄	C₂²×C₄×D₄₇	1	4	yes	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	4	no	—
646	C₂×C₄	—	2	4	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	4	2	no	—
649	C₂×C₄	—	47	1	no	—
650	C₂×C₄	—	47	1	no	—
651	C₂×C₄	—	47	2	no	—
652	C₂×C₄	—	47	2	no	—
653	C₂×C₄	—	47	2	no	—
654	C₂×C₄	—	47	2	no	—
655	C₂×C₄	—	47	2	no	—
656	C₂×C₄	—	47	2	no	—
657	C₂×C₄	—	47	2	no	—
658	C₂×C₄	—	47	2	no	—
659	C₂×C₄	—	47	2	no	—
660	C₂×C₄	—	47	2	no	—
661	C₂×C₄	—	94	8	no	—
662	C₂×C₄	—	94	8	no	—
663	C₂×C₄	—	94	8	no	—
664	C₂×C₄	—	94	2	no	—
665	C₂×C₄	—	94	4	no	—
666	C₂×C₄	—	94	4	no	—
667	C₂×C₄	—	94	2	no	—
668	C₂×C₄	—	188	8	no	—
669	C₂×C₄	—	188	2	no	—
670	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
671	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
672	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
673	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
674	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
675	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
676	C₈	—	2	4	no	—
677	C₈	—	47	2	no	—
678	C₈	—	47	2	no	—
679	C₈	—	47	4	no	—
680	C₈	—	94	4	no	—
681	C₈	C₂²×C₄×D₄₇	1	2	yes	—
682	C₈	C₂²×C₄×D₄₇	1	2	yes	—
683	C₈	C₂×D₄×D₄₇	1	4	yes	—
684	C₂²	—	2	2	no	—
685	C₂²	—	2	4	no	—
686	C₂²	—	4	4	no	—
687	C₂²	—	47	2	no	—
688	C₂²	—	47	4	no	—
689	C₂²	—	47	2	no	—
690	C₂²	—	94	4	no	—
691	C₂²	—	94	4	no	—
692	C₂²	—	94	2	no	—
693	C₂²	—	94	4	no	—
694	C₂²	—	188	16	no	—
695	C₂²	—	188	4	no	—
696	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
697	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
698	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
699	C₄	—	2	4	no	—
700	C₄	—	4	2	no	—
701	C₄	—	47	2	no	—
702	C₄	—	47	2	no	—
703	C₄	—	94	4	no	—
704	C₄	—	188	2	no	—
705	C₄	C₄×D₄×D₄₇	1	1	yes	characteristic
706	C₄	C₄×D₄×D₄₇	1	1	yes	characteristic
707	C₄	C₂³×C₄×D₄₇	1	1	yes	characteristic
708	C₄	C₂²×D₄×D₄₇	1	1	yes	characteristic
709	C₂	—	2	1	no	—
710	C₂	—	2	1	no	—
711	C₂	—	4	4	no	—
712	C₂	—	47	4	no	—
713	C₂	—	94	2	no	—
714	C₂	—	188	4	no	—
715	C₂	#444×D₄₇	1	2	yes	direct product factor
716	C₂	C₂×C₄×D₄×D₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₄×C₄₇	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄₇×#444	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	C₂×#135×D₄₇	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	C₂×#444	D₄₇
hypocenter	C₄₇	C₂²×#444
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₈ ◁ C₂×#444

Complements

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

N	H ≅ G/N	type
2. C₂×#131×D₄₇	C₂	semidirect
3. C₂×#15689246	C₂	semidirect
4. C₂×#15689245	C₂	semidirect
5. C₂×#15689244	C₂	semidirect
6. C₂×#15689243	C₂	semidirect
7. C₂×#15689242	C₂	semidirect
8. #444×D₄₇	C₂	direct (N × H)
9. C₂×#108×D₄₇	C₂	semidirect
10. C₂×#104×D₄₇	C₂	semidirect
11. C₂×#97×D₄₇	C₂	semidirect
12. C₂×C₄₇×#444	C₂	semidirect
14. C₂×#13094047	C₄	semidirect
16. C₂×#13094045	C₄	semidirect
18. C₂×#13094043	C₄	semidirect
19. #135×D₄₇	C₄	semidirect
21. C₂×Q₁₆×D₄₇	C₄	semidirect
22. C₂×SD₁₆×D₄₇	C₄	semidirect
23. C₂×D₈×D₄₇	C₄	semidirect
25. C₂×#13094032	C₂²	semidirect
26. C₂×#13094031	C₂²	semidirect
28. C₂×#13094030	C₂²	semidirect
30. #131×D₄₇	C₂²	semidirect
37. #15689246	C₂²	semidirect
38. #15689245	C₂²	semidirect
39. #15689244	C₂²	semidirect
40. #15689243	C₂²	semidirect
41. #15689242	C₂²	semidirect
42. C₂×#13093960	C₂²	semidirect
43. C₂×#13093959	C₂²	semidirect
44. #108×D₄₇	C₂²	semidirect
45. C₂×#13093952	C₂²	semidirect
46. C₂×#13093951	C₂²	semidirect
47. C₂×#13093950	C₂²	semidirect
48. #104×D₄₇	C₂²	semidirect
49. C₂×#13093935	C₂²	semidirect
50. C₂×#13093934	C₂²	semidirect
51. C₂×#13093934	C₂²	semidirect
52. #97×D₄₇	C₂²	semidirect
54. C₂×#131×C₄₇	C₂²	semidirect
55. C₄₇×#444	C₂²	semidirect
56. C₂×#108×C₄₇	C₂²	semidirect
57. C₂×#104×C₄₇	C₂²	semidirect
58. C₂×#97×C₄₇	C₂²	semidirect
74. #13094047	C₂×C₄	semidirect
75. #13094046	C₂×C₄	semidirect
77. #13094045	C₂×C₄	semidirect
78. #13094044	C₂×C₄	semidirect
80. #13094043	C₂×C₄	semidirect
81. C₂×Dic₁₈₈	C₂×C₄	semidirect
82. C₂×#10625337	C₂×C₄	semidirect
83. Q₁₆×D₄₇	C₂×C₄	semidirect
84. C₂×#10625325	C₂×C₄	semidirect
85. C₂×#10625335	C₂×C₄	semidirect
86. C₂×#10625336	C₂×C₄	semidirect
87. SD₁₆×D₄₇	C₂×C₄	semidirect
88. C₂×D₃₇₆	C₂×C₄	semidirect
89. C₂×#10625334	C₂×C₄	semidirect
90. D₈×D₄₇	C₂×C₄	semidirect
93. #13094032	C₂³	semidirect
95. #13094031	C₂³	semidirect
98. #13094030	C₂³	semidirect
128. #13093960	C₂³	semidirect
129. #13093959	C₂³	semidirect
130. #13093952	C₂³	semidirect
131. #13093951	C₂³	semidirect
132. #13093950	C₂³	semidirect
133. #13093935	C₂³	semidirect
134. #13093934	C₂³	semidirect
135. #13093934	C₂³	semidirect
137. #135×C₄₇	C₂×C₄	semidirect
139. C₂×Q₁₆×C₄₇	C₂×C₄	semidirect
140. C₂×SD₁₆×C₄₇	C₂×C₄	semidirect
141. C₂×D₈×C₄₇	C₂×C₄	semidirect
143. #131×C₄₇	C₂³	semidirect
150. #108×C₄₇	C₂³	semidirect
151. #104×C₄₇	C₂³	semidirect
152. #97×C₄₇	C₂³	semidirect
208. Q₁₆×C₄₇	C₂²×C₄	semidirect
209. SD₁₆×C₄₇	C₂²×C₄	semidirect
210. D₈×C₄₇	C₂²×C₄	semidirect
225. #10625337	C₂²×C₄	semidirect
226. #10625336	C₂²×C₄	semidirect
227. #10625335	C₂²×C₄	semidirect
228. #10625334	C₂²×C₄	semidirect
244. Dic₁₈₈	C₂²×C₄	semidirect
245. D₃₇₆	C₂²×C₄	semidirect
246. #10625325	C₂²×C₄	semidirect
338. C₂×D₄₇	#444	direct (N × H)
359. C₂×#444	D₄₇	direct (N × H)
366. C₂×C₄₇	C₂×#444	semidirect
370. D₄₇	C₂×#444	direct (N × H)
390. C₂×#131	C₂×D₄₇	semidirect
402. #444	C₂×D₄₇	direct (N × H)
406. C₂×#108	C₂×D₄₇	semidirect
411. C₂×#104	C₂×D₄₇	semidirect
416. C₂×#97	C₂×D₄₇	semidirect
417. C₄₇	C₂²×#444	semidirect
441. #135	C₄×D₄₇	semidirect
446. C₂×Q₁₆	C₄×D₄₇	semidirect
451. C₂×SD₁₆	C₄×D₄₇	semidirect
455. C₂×D₈	C₄×D₄₇	semidirect
465. #131	C₂²×D₄₇	semidirect
503. #108	C₂²×D₄₇	semidirect
507. #104	C₂²×D₄₇	semidirect
511. #97	C₂²×D₄₇	semidirect
569. Q₁₆	C₂×C₄×D₄₇	semidirect
573. SD₁₆	C₂×C₄×D₄₇	semidirect
576. D₈	C₂×C₄×D₄₇	semidirect
715. C₂	#444×D₄₇	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×#135×D₄₇	2
C₂×#131×D₄₇	2
C₂×#15689246	2
C₂×#15689245	2
C₂×#15689244	2
C₂×#15689243	2
C₂×#15689242	2
#444×D₄₇	2
C₂×#108×D₄₇	2
C₂×#104×D₄₇	2
C₂×#97×D₄₇	2
C₂×C₄₇×#444	2
C₂²×#444	47

Subgroups — C2×#444×D47 #27080571

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#444×D₄₇ #27080571