Subgroups — C₂×#20245272 #26369682

Order 12032.

654 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689553	C₂	1	1	yes	maximal, characteristic
2	C₂×#15689241	C₂	1	1	yes	maximal, characteristic, complemented
3	#20245272	C₂	1	8	yes	maximal, direct product factor
4	C₂×#15688952	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15688930	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15688929	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15688899	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₇×#443	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#13094046	C₂²	1	1	yes	characteristic
10	C₂×#13094030	—	2	1	no	—
11	#15689553	C₄	1	4	yes	complemented
12	#15689553	C₂²	1	4	yes	—
13	C₂×#13093970	C₄	1	1	yes	characteristic, complemented
14	C₂×#13093968	C₄	1	1	yes	characteristic, complemented
15	C₂×#13093967	C₄	1	1	yes	characteristic, complemented
16	C₂×#13093965	C₄	1	1	yes	characteristic, complemented
17	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
19	#15689241	—	2	2	no	—
20	#15689241	C₂²	1	4	yes	complemented
21	C₂×#13093960	C₂²	1	1	yes	characteristic
22	C₂×#13093952	—	2	1	no	—
23	#15688952	C₂²	1	4	yes	complemented
24	#15688930	C₂²	1	4	yes	complemented
25	#15688929	C₂²	1	4	yes	complemented
26	#15688899	C₂²	1	4	yes	complemented
27	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
28	C₂×#131×C₄₇	—	2	1	no	—
29	C₄₇×#443	—	2	2	no	—
30	C₄₇×#443	C₂²	1	4	yes	complemented
31	C₂×#108×C₄₇	C₂²	1	1	yes	characteristic
32	C₂×#104×C₄₇	—	2	1	no	—
33	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
34	C₂×#10625350	—	2	1	no	—
35	#13094046	—	2	1	no	—
36	#13094046	—	2	1	no	—
37	#13094046	C₂×C₄	1	2	yes	—
38	#13094046	C₂³	1	2	yes	—
39	C₂×Dic₁₈₈	C₂×C₄	1	1	yes	characteristic
40	C₂×#10625325	—	2	1	no	—
41	C₂×D₃₇₆	C₂×C₄	1	1	yes	characteristic
42	#13094030	—	2	4	no	—
43	#13094030	—	4	2	no	—
44	C₂×#10625329	—	2	1	no	—
45	C₂×#10625324	—	4	1	no	—
46	C₂×C₈×D₄₇	—	4	1	no	—
47	#13093970	C₂×C₄	1	4	yes	complemented
48	#13093968	C₂×C₄	1	4	yes	complemented
49	#13093967	C₂×C₄	1	4	yes	complemented
50	#13093965	C₂×C₄	1	4	yes	complemented
51	C₂×C₄₇⋊C₁₆	—	2	1	no	—
52	C₂×C₄₇⋊C₁₆	—	2	1	no	—
53	C₂×C₄₇⋊C₁₆	C₂×C₄	1	1	yes	characteristic
54	C₂×C₄₇⋊C₁₆	C₂×C₄	1	1	yes	characteristic
55	C₂×C₄₇⋊C₁₆	C₂×C₄	1	2	yes	—
56	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
57	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
58	#13093960	—	2	1	no	—
59	#13093960	C₂³	1	2	yes	—
60	#13093952	—	2	4	no	—
61	C₂×#41×C₄₇	—	2	1	no	—
62	#135×C₄₇	—	2	1	no	—
63	#135×C₄₇	—	2	1	no	—
64	#135×C₄₇	C₂×C₄	1	2	yes	—
65	#135×C₄₇	C₂³	1	2	yes	—
66	C₂×Q₁₆×C₄₇	C₂×C₄	1	1	yes	characteristic
67	C₂×SD₁₆×C₄₇	—	2	1	no	—
68	C₂×D₈×C₄₇	C₂×C₄	1	1	yes	characteristic
69	#131×C₄₇	—	2	4	no	—
70	#131×C₄₇	—	4	2	no	—
71	C₂×M₁₆×C₄₇	—	2	1	no	—
72	C₂×M₁₆×C₄₇	—	4	1	no	—
73	C₂²×C₈×C₄₇	—	4	1	no	—
74	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
75	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
76	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
77	#108×C₄₇	—	2	1	no	—
78	#108×C₄₇	C₂³	1	2	yes	—
79	#104×C₄₇	—	2	4	no	—
80	C₄×C₈×C₄₇	D₄	1	2	yes	—
81	C₄×C₈×C₄₇	C₂³	1	2	yes	—
82	#41×C₄₇	—	2	2	no	—
83	#41×C₄₇	—	2	2	no	—
84	#41×C₄₇	—	4	1	no	—
85	#41×C₄₇	—	4	1	no	—
86	C₂×Q₈×C₄₇	—	2	1	no	—
87	C₂×D₄×C₄₇	—	2	1	no	—
88	C₂×D₄×C₄₇	—	4	1	no	—
89	C₂²×C₄×C₄₇	—	2	1	no	—
90	C₂²×C₄×C₄₇	—	4	1	no	—
91	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
92	C₂×C₂²⋊D₄₇	—	4	1	no	—
93	#10625350	—	2	2	no	—
94	#10625350	—	2	2	no	—
95	#10625350	—	4	1	no	—
96	#10625350	—	4	1	no	—
97	C₂×D₁₈₈	—	2	1	no	—
98	C₂×C₄×D₄₇	—	4	1	no	—
99	C₂×Dic₉₄	—	2	1	no	—
100	Q₁₆×C₄₇	—	2	1	no	—
101	Q₁₆×C₄₇	C₂²×C₄	1	2	yes	—
102	SD₁₆×C₄₇	—	2	2	no	—
103	SD₁₆×C₄₇	—	2	2	no	—
104	D₈×C₄₇	—	2	1	no	—
105	D₈×C₄₇	C₂²×C₄	1	2	yes	—
106	M₁₆×C₄₇	—	2	2	no	—
107	M₁₆×C₄₇	—	4	1	no	—
108	M₁₆×C₄₇	—	4	4	no	—
109	C₂×C₈×C₄₇	—	4	1	no	—
110	C₂×C₈×C₄₇	—	4	4	no	—
111	C₂×C₈×C₄₇	D₈	1	1	yes	characteristic
112	C₂×C₈×C₄₇	D₈	1	1	yes	characteristic
113	C₂×C₈×C₄₇	D₈	1	2	yes	—
114	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
115	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
116	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
118	C₂×C₈×C₄₇	#41	1	1	yes	characteristic
119	C₂×C₈×C₄₇	#41	1	1	yes	characteristic
120	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
121	C₄²×C₄₇	—	2	1	no	—
122	C₄²×C₄₇	C₂×D₄	1	2	yes	—
123	#10625329	—	2	2	no	—
124	#10625329	—	4	1	no	—
125	C₂×C₄₇⋊C₈	—	4	1	no	—
126	Dic₁₈₈	—	2	1	no	—
127	Dic₁₈₈	C₂²×C₄	1	2	yes	—
128	D₃₇₆	—	2	1	no	—
129	D₃₇₆	C₂²×C₄	1	2	yes	—
130	#10625325	—	2	2	no	—
131	#10625325	—	2	2	no	—
132	#10625324	—	4	4	no	—
133	C₈×D₄₇	—	4	4	no	—
134	C₄₇⋊C₁₆	—	2	2	no	—
135	C₄₇⋊C₁₆	C₂²×C₄	1	2	yes	—
136	C₄₇⋊C₁₆	C₂²×C₄	1	2	yes	—
137	C₂³×C₄₇	—	4	1	no	—
138	C₂³×C₄₇	#135	1	1	yes	characteristic
139	C₂²×D₄₇	—	4	1	no	—
140	Q₈×C₄₇	—	2	2	no	—
141	Q₈×C₄₇	—	4	1	no	—
142	D₄×C₄₇	—	2	2	no	—
143	D₄×C₄₇	—	4	2	no	—
144	D₄×C₄₇	—	4	2	no	—
145	D₄×C₄₇	—	4	1	no	—
146	C₂×C₄×C₄₇	—	2	2	no	—
147	C₂×C₄×C₄₇	—	4	2	no	—
148	C₂×C₄×C₄₇	—	4	1	no	—
149	C₂×C₄×C₄₇	—	4	2	no	—
150	C₂×C₄×C₄₇	—	4	2	no	—
151	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
154	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
156	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
157	C₂²⋊D₄₇	—	4	2	no	—
158	C₂²⋊D₄₇	—	4	2	no	—
159	C₂×Dic₄₇	—	4	1	no	—
160	D₁₈₈	—	2	2	no	—
161	D₁₈₈	—	4	1	no	—
162	C₄×D₄₇	—	4	2	no	—
163	C₄×D₄₇	—	4	2	no	—
164	Dic₉₄	—	2	2	no	—
165	Dic₉₄	—	4	1	no	—
166	C₈×C₄₇	—	4	2	no	—
167	C₈×C₄₇	C₄×D₄	1	1	yes	characteristic
168	C₈×C₄₇	C₄×D₄	1	1	yes	characteristic
169	C₈×C₄₇	C₂×D₈	1	2	yes	—
170	C₈×C₄₇	C₂×D₈	1	2	yes	—
171	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
172	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
173	C₄₇⋊C₈	—	4	2	no	—
174	C₂×#2179	—	47	1	no	maximal, Sylow
175	C₂²×C₄₇	—	2	2	no	—
176	C₂²×C₄₇	—	4	2	no	—
177	C₂²×C₄₇	—	8	2	no	—
178	C₂²×C₄₇	C₄×D₈	1	1	yes	characteristic
179	C₂²×C₄₇	C₄×D₈	1	1	yes	characteristic
180	C₂²×C₄₇	C₂×#135	1	1	yes	characteristic
181	C₂×D₄₇	—	4	2	no	—
182	C₂×D₄₇	—	8	2	no	—
183	C₄×C₄₇	—	4	2	no	—
184	C₄×C₄₇	—	4	2	no	—
185	C₄×C₄₇	C₄×D₈	1	1	yes	characteristic
186	C₄×C₄₇	C₄×D₈	1	1	yes	characteristic
187	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
188	C₄×C₄₇	C₂²×D₈	1	1	yes	characteristic
189	Dic₄₇	—	4	2	no	—
190	C₂×#508	—	47	1	no	—
191	C₂×#443	—	47	1	no	—
192	C₂×#443	D₄₇	1	1	yes	characteristic, complemented
193	#2179	—	47	8	no	—
194	C₂×#368	—	47	1	no	—
195	C₂×#359	—	47	1	no	—
196	C₂×#359	—	47	1	no	—
197	C₂×#346	—	47	1	no	—
198	C₂×C₄₇	—	2	1	no	—
199	C₂×C₄₇	—	2	1	no	—
200	C₂×C₄₇	—	8	2	no	—
201	C₂×C₄₇	#2179	1	2	yes	complemented
202	C₂×C₄₇	C₂×C₄×D₈	1	1	yes	characteristic
203	D₄₇	—	8	2	no	—
204	C₂×#135	—	47	1	no	—
205	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
206	C₂×#131	—	2	1	no	—
207	C₂×#131	—	94	1	no	—
208	#508	—	47	4	no	—
209	#508	—	47	4	no	—
210	C₂×Q₃₂	—	47	1	no	—
211	C₂×SD₃₂	—	47	1	no	—
212	C₂×SD₃₂	—	47	1	no	—
213	C₂×D₁₆	—	47	1	no	—
214	C₂²×C₁₆	—	47	1	no	—
215	C₂²×C₁₆	—	47	1	no	—
216	#443	—	2	2	no	—
217	#443	—	47	4	no	—
218	#443	—	94	2	no	—
219	#443	C₂×D₄₇	1	4	yes	complemented
220	C₂×#108	—	47	1	no	—
221	C₂×#108	C₂×D₄₇	1	1	yes	characteristic
222	C₂×#104	—	2	1	no	—
223	C₂×#104	—	94	1	no	—
224	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
225	#368	—	47	4	no	—
226	#359	—	47	4	no	—
227	#359	—	47	4	no	—
228	#346	—	47	4	no	—
229	C₄₇	C₂×#2179	1	1	yes	characteristic, complemented, Sylow
230	C₂×#41	—	2	1	no	—
231	C₂×#41	—	94	1	no	—
232	#135	—	2	1	no	—
233	#135	—	2	1	no	—
234	#135	—	47	2	no	—
235	#135	—	47	2	no	—
236	#135	—	94	1	no	—
237	#135	—	94	1	no	—
238	#135	C₄×D₄₇	1	2	yes	—
239	#135	C₂²×D₄₇	1	2	yes	—
240	C₂×Q₁₆	—	47	1	no	—
241	C₂×Q₁₆	C₄×D₄₇	1	1	yes	characteristic
242	C₂×SD₁₆	—	2	1	no	—
243	C₂×SD₁₆	—	94	1	no	—
244	C₂×D₈	—	47	1	no	—
245	C₂×D₈	C₄×D₄₇	1	1	yes	characteristic
246	#131	—	2	4	no	—
247	#131	—	4	2	no	—
248	#131	—	94	4	no	—
249	#131	—	188	2	no	—
250	C₂×M₁₆	—	2	1	no	—
251	C₂×M₁₆	—	4	1	no	—
252	C₂×M₁₆	—	94	1	no	—
253	C₂×M₁₆	—	188	1	no	—
254	C₂²×C₈	—	4	1	no	—
255	C₂²×C₈	—	188	1	no	—
256	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
257	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
258	C₂×C₄²	C₂²⋊D₄₇	1	1	yes	characteristic
259	Q₃₂	—	47	4	no	—
260	SD₃₂	—	47	4	no	—
261	SD₃₂	—	47	4	no	—
262	D₁₆	—	47	4	no	—
263	C₂×C₁₆	—	47	1	no	—
264	C₂×C₁₆	—	47	1	no	—
265	C₂×C₁₆	—	47	2	no	—
266	C₂×C₁₆	—	47	2	no	—
267	C₂×C₁₆	—	47	2	no	—
268	C₂×C₁₆	—	94	1	no	—
269	C₂×C₁₆	—	94	1	no	—
270	#108	—	2	1	no	—
271	#108	—	47	2	no	—
272	#108	—	94	1	no	—
273	#108	C₂²×D₄₇	1	2	yes	—
274	#104	—	2	4	no	—
275	#104	—	94	4	no	—
276	C₄×C₈	C₂²⋊D₄₇	1	2	yes	—
277	C₄×C₈	C₂²×D₄₇	1	2	yes	—
278	#41	—	2	2	no	—
279	#41	—	2	2	no	—
280	#41	—	4	1	no	—
281	#41	—	4	1	no	—
282	#41	—	94	2	no	—
283	#41	—	94	2	no	—
284	#41	—	188	1	no	—
285	#41	—	188	1	no	—
286	C₂×Q₈	—	2	1	no	—
287	C₂×Q₈	—	94	1	no	—
288	C₂×D₄	—	2	1	no	—
289	C₂×D₄	—	4	1	no	—
290	C₂×D₄	—	94	1	no	—
291	C₂×D₄	—	188	1	no	—
292	C₂²×C₄	—	2	1	no	—
293	C₂²×C₄	—	4	1	no	—
294	C₂²×C₄	—	188	1	no	—
295	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
296	Q₁₆	—	2	1	no	—
297	Q₁₆	—	47	2	no	—
298	Q₁₆	—	94	1	no	—
299	Q₁₆	C₂×C₄×D₄₇	1	2	yes	—
300	SD₁₆	—	2	2	no	—
301	SD₁₆	—	2	2	no	—
302	SD₁₆	—	94	2	no	—
303	SD₁₆	—	94	2	no	—
304	D₈	—	2	1	no	—
305	D₈	—	47	2	no	—
306	D₈	—	94	1	no	—
307	D₈	C₂×C₄×D₄₇	1	2	yes	—
308	M₁₆	—	2	2	no	—
309	M₁₆	—	4	1	no	—
310	M₁₆	—	4	4	no	—
311	M₁₆	—	94	2	no	—
312	M₁₆	—	188	1	no	—
313	M₁₆	—	188	4	no	—
314	C₂×C₈	—	4	1	no	—
315	C₂×C₈	—	4	4	no	—
316	C₂×C₈	—	188	1	no	—
317	C₂×C₈	—	188	4	no	—
318	C₂×C₈	#10625334	1	2	yes	—
319	C₂×C₈	#10625334	1	1	yes	characteristic
320	C₂×C₈	#10625334	1	1	yes	characteristic
321	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
322	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
323	C₂×C₈	#10625350	1	1	yes	characteristic
324	C₂×C₈	#10625350	1	1	yes	characteristic
325	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
326	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
327	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
328	C₄²	—	2	1	no	—
329	C₄²	C₂×C₂²⋊D₄₇	1	2	yes	—
330	C₁₆	—	47	2	no	—
331	C₁₆	—	47	2	no	—
332	C₁₆	—	94	2	no	—
333	C₂³	—	4	1	no	—
334	C₂³	—	188	1	no	—
335	C₂³	#13094044	1	1	yes	characteristic
336	Q₈	—	2	2	no	—
337	Q₈	—	4	1	no	—
338	Q₈	—	94	2	no	—
339	Q₈	—	188	1	no	—
340	D₄	—	2	2	no	—
341	D₄	—	4	2	no	—
342	D₄	—	4	2	no	—
343	D₄	—	4	1	no	—
344	D₄	—	94	2	no	—
345	D₄	—	188	2	no	—
346	D₄	—	188	2	no	—
347	D₄	—	188	1	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	188	1	no	—
354	C₂×C₄	—	188	2	no	—
355	C₂×C₄	—	188	2	no	—
356	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
357	C₂×C₄	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
358	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
359	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
360	C₂×C₄	#13094044	1	1	yes	characteristic
361	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
362	C₈	—	4	2	no	—
363	C₈	—	188	2	no	—
364	C₈	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
365	C₈	C₄×C₂²⋊D₄₇	1	1	yes	characteristic
366	C₈	C₂×#10625334	1	2	yes	—
367	C₈	C₂×#10625334	1	2	yes	—
368	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
369	C₈	C₂×#10625350	1	1	yes	characteristic
370	C₂²	—	2	2	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	376	2	no	—
374	C₂²	—	188	2	no	—
375	C₂²	C₄×#10625334	1	1	yes	characteristic
376	C₂²	C₄×#10625334	1	1	yes	characteristic
377	C₂²	C₂×#13094044	1	1	yes	characteristic
378	C₄	—	4	2	no	—
379	C₄	—	4	2	no	—
380	C₄	—	188	2	no	—
381	C₄	C₄×#10625334	1	1	yes	characteristic
382	C₄	C₄×#10625334	1	1	yes	characteristic
383	C₄	C₂×C₄×C₂²⋊D₄₇	1	1	yes	characteristic
384	C₄	C₂²×#10625334	1	1	yes	characteristic
385	C₂	—	2	1	no	—
386	C₂	—	2	1	no	—
387	C₂	—	8	2	no	—
388	C₂	—	376	2	no	—
389	C₂	#20245272	1	2	yes	direct product factor
390	C₂	C₂×C₄×#10625334	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×#10625334
commutator	C₈×C₄₇	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₂×C₄₇×#443	C₂
socle	C₂²×C₄₇	C₄×D₈
prime radical	C₂×#15689553	C₂
cosocle	C₂×C₈×C₄₇	C₂⁴
hypercenter	C₂×#443	D₄₇
hypocenter	C₄₇	C₂×#2179
LCS	G ▷ C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₈ ◁ C₂×C₄×C₈ ◁ C₂×#443

Complements

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

N	H ≅ G/N	type
2. C₂×#15689241	C₂	semidirect
3. #20245272	C₂	direct (N × H)
4. C₂×#15688952	C₂	semidirect
5. C₂×#15688930	C₂	semidirect
6. C₂×#15688929	C₂	semidirect
7. C₂×#15688899	C₂	semidirect
8. C₂×C₄₇×#443	C₂	semidirect
11. #15689553	C₄	semidirect
13. C₂×#13093970	C₄	semidirect
14. C₂×#13093968	C₄	semidirect
15. C₂×#13093967	C₄	semidirect
16. C₂×#13093965	C₄	semidirect
20. #15689241	C₂²	semidirect
23. #15688952	C₂²	semidirect
24. #15688930	C₂²	semidirect
25. #15688929	C₂²	semidirect
26. #15688899	C₂²	semidirect
30. C₄₇×#443	C₂²	semidirect
47. #13093970	C₂×C₄	semidirect
48. #13093968	C₂×C₄	semidirect
49. #13093967	C₂×C₄	semidirect
50. #13093965	C₂×C₄	semidirect
192. C₂×#443	D₄₇	semidirect
201. C₂×C₄₇	#2179	semidirect
219. #443	C₂×D₄₇	semidirect
229. C₄₇	C₂×#2179	semidirect
389. C₂	#20245272	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×#15689553	2
C₂×#15689241	2
#20245272	2
C₂×#15688952	2
C₂×#15688930	2
C₂×#15688929	2
C₂×#15688899	2
C₂×C₄₇×#443	2
C₂×#2179	47

Subgroups — C2×#20245272 #26369682

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20245272 #26369682