Subgroups — C₂×#19134092 #25079116

Order 11008.

726 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583295	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583189	C₂	1	1	yes	maximal, characteristic
3	C₂×#14582977	C₂	1	1	yes	maximal, characteristic
4	#19134092	C₂	1	8	yes	maximal, direct product factor
5	C₂×#14582651	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14582647	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582645	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₃×#461	C₂	1	1	yes	maximal, characteristic
9	C₂²×#10621877	—	2	1	no	—
10	C₂×#13063325	C₂²	1	1	yes	characteristic
11	#14583295	—	2	2	no	—
12	#14583295	C₂²	1	4	yes	complemented
13	#14583189	—	2	2	no	—
14	#14583189	C₂²	1	4	yes	—
15	#14582977	—	2	2	no	—
16	#14582977	C₂²	1	4	yes	—
17	C₂×#13063256	—	2	1	no	—
18	C₂×#13063256	—	2	1	no	—
19	C₂×#13063256	—	2	1	no	—
20	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
22	C₂×#13063246	—	2	1	no	—
23	C₂×C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
24	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
25	#14582651	C₂²	1	4	yes	complemented
26	#14582647	C₂²	1	4	yes	complemented
27	#14582645	C₂²	1	4	yes	complemented
28	C₂²×SD₁₆×C₄₃	—	2	1	no	—
29	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
31	C₄₃×#461	—	2	2	no	—
32	C₄₃×#461	C₂²	1	4	yes	—
33	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
34	C₂×#103×C₄₃	—	2	1	no	—
35	C₂²×Dic₈₆	—	2	1	no	—
36	C₂×#10621877	—	2	4	no	—
37	C₂×#10621877	—	4	4	no	—
38	C₂²×C₄₃⋊C₈	—	2	1	no	—
39	C₂²×C₄₃⋊C₈	—	2	1	no	—
40	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
41	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
42	#13063325	—	2	1	no	—
43	#13063325	—	2	1	no	—
44	#13063325	—	2	1	no	—
45	#13063325	C₂³	1	2	yes	—
46	C₂×C₄⋊Dic₄₃	—	2	1	no	—
47	C₂×C₄⋊Dic₄₃	—	2	1	no	—
48	#13063256	—	2	4	no	—
49	#13063256	—	2	4	no	—
50	#13063256	—	2	4	no	—
51	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
52	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
53	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
54	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
55	#13063246	—	2	4	no	—
56	C₂²⋊(C₄₃⋊C₈)	—	2	4	no	—
57	C₄×C₄₃⋊C₈	D₄	1	2	yes	—
58	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
59	C₂²×Q₈×C₄₃	—	2	1	no	—
60	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
61	C₂³×C₄×C₄₃	—	2	1	no	—
62	C₂×SD₁₆×C₄₃	—	2	4	no	—
63	C₂×SD₁₆×C₄₃	—	4	4	no	—
64	C₂²×C₈×C₄₃	—	2	1	no	—
65	C₄⋊Q₈×C₄₃	—	2	1	no	—
66	C₄⋊Q₈×C₄₃	—	2	1	no	—
67	C₄⋊Q₈×C₄₃	—	2	1	no	—
68	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
69	C₄×D₄×C₄₃	—	2	1	no	—
70	C₄×D₄×C₄₃	—	2	1	no	—
71	C₄×D₄×C₄₃	D₄	1	2	yes	—
72	C₄×D₄×C₄₃	C₂³	1	2	yes	—
73	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
74	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
75	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
76	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
77	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
78	C₄⋊C₈×C₄₃	—	2	1	no	—
79	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
80	#103×C₄₃	—	2	4	no	—
81	C₂⁴×C₄₃	—	2	1	no	—
82	C₂×Q₈×C₄₃	—	2	2	no	—
83	C₂×Q₈×C₄₃	—	4	1	no	—
84	C₂×Q₈×C₄₃	—	4	2	no	—
85	C₂×Q₈×C₄₃	—	4	2	no	—
86	C₂×D₄×C₄₃	—	2	1	no	—
87	C₂×D₄×C₄₃	—	2	2	no	—
88	C₂×D₄×C₄₃	—	2	2	no	—
89	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₄₃	—	2	2	no	—
91	C₂²×C₄×C₄₃	—	2	2	no	—
92	C₂²×C₄×C₄₃	—	2	1	no	—
93	C₂²×C₄×C₄₃	—	4	2	no	—
94	C₂²×C₄×C₄₃	—	4	2	no	—
95	C₂²×C₄×C₄₃	—	4	1	no	—
96	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
99	C₂²×Dic₄₃	—	4	1	no	—
100	C₂×Dic₈₆	—	2	2	no	—
101	C₂×Dic₈₆	—	4	1	no	—
102	C₂×Dic₈₆	—	8	2	no	—
103	SD₁₆×C₄₃	—	4	8	no	—
104	C₂×C₈×C₄₃	—	2	2	no	—
105	C₂×C₈×C₄₃	—	4	2	no	—
106	C₄⋊C₄×C₄₃	—	2	1	no	—
107	C₄⋊C₄×C₄₃	—	2	2	no	—
108	C₄⋊C₄×C₄₃	—	2	2	no	—
109	C₄⋊C₄×C₄₃	—	4	1	no	—
110	C₄⋊C₄×C₄₃	—	4	1	no	—
111	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
112	C₂²⋊C₄×C₄₃	—	2	2	no	—
113	C₂²⋊C₄×C₄₃	—	2	2	no	—
114	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₃	#41	1	1	yes	characteristic
117	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
118	C₄⋊Dic₄₃	—	2	2	no	—
119	C₄⋊Dic₄₃	—	2	2	no	—
120	C₄⋊Dic₄₃	—	4	1	no	—
121	C₄⋊Dic₄₃	—	4	1	no	—
122	#10621877	—	4	8	no	—
123	C₂×C₄₃⋊C₈	—	2	2	no	—
124	C₂×C₄₃⋊C₈	—	2	2	no	—
125	C₂×C₄₃⋊C₈	—	2	2	no	—
126	C₂×C₄₃⋊C₈	—	4	2	no	—
127	C₂×C₄₃⋊C₈	—	4	2	no	—
128	C₂×C₄₃⋊C₈	SD₁₆	1	4	yes	complemented
129	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
130	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
131	C₂³×C₄₃	—	2	2	no	—
132	C₂³×C₄₃	—	4	2	no	—
133	C₂³×C₄₃	—	4	2	no	—
134	C₂³×C₄₃	—	4	2	no	—
135	C₂³×C₄₃	#121	1	1	yes	characteristic
136	Q₈×C₄₃	—	4	2	no	—
137	Q₈×C₄₃	—	4	2	no	—
138	Q₈×C₄₃	—	8	2	no	—
139	D₄×C₄₃	—	2	2	no	—
140	D₄×C₄₃	—	2	2	no	—
141	D₄×C₄₃	—	4	2	no	—
142	C₂×C₄×C₄₃	—	2	2	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	4	2	no	—
145	C₂×C₄×C₄₃	—	4	2	no	—
146	C₂×C₄×C₄₃	—	4	2	no	—
147	C₂×C₄×C₄₃	—	4	4	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	8	2	no	—
150	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
151	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
152	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂×SD₁₆	1	2	yes	—
154	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
155	C₂×C₄×C₄₃	#137	1	2	yes	—
156	C₂×C₄×C₄₃	#137	1	2	yes	—
157	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
159	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
160	C₂×Dic₄₃	—	4	2	no	—
161	C₂×Dic₄₃	—	8	2	no	—
162	Dic₈₆	—	8	2	no	—
163	Dic₈₆	—	8	2	no	—
164	C₈×C₄₃	—	4	2	no	—
165	C₄₃⋊C₈	—	2	2	no	—
166	C₄₃⋊C₈	—	4	2	no	—
167	C₄₃⋊C₈	—	4	2	no	—
168	C₄₃⋊C₈	C₂×SD₁₆	1	4	yes	complemented
169	C₂×#1691	—	43	1	no	maximal, Sylow
170	C₂²×C₄₃	—	4	2	no	—
171	C₂²×C₄₃	—	4	2	no	—
172	C₂²×C₄₃	—	4	2	no	—
173	C₂²×C₄₃	—	8	4	no	—
174	C₂²×C₄₃	#461	1	2	yes	—
175	C₂²×C₄₃	#468	1	2	yes	—
176	C₂²×C₄₃	#471	1	2	yes	—
177	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
178	C₄×C₄₃	—	2	1	no	—
179	C₄×C₄₃	—	2	1	no	—
180	C₄×C₄₃	—	4	2	no	—
181	C₄×C₄₃	—	8	2	no	—
182	C₄×C₄₃	#461	1	2	yes	—
183	C₄×C₄₃	#468	1	2	yes	—
184	C₄×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
185	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
186	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
187	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
188	Dic₄₃	—	8	2	no	—
189	C₂×#498	—	43	1	no	—
190	C₂×#476	—	43	1	no	—
191	C₂×#461	D₄₃	1	1	yes	characteristic
192	C₂×#436	—	43	1	no	—
193	#1691	—	43	8	no	—
194	C₂×#335	—	43	1	no	—
195	C₂×#333	—	43	1	no	—
196	C₂×#332	—	43	1	no	—
197	C₂×C₄₃	—	8	2	no	—
198	C₂×C₄₃	#1691	1	4	yes	complemented
199	C₂×C₄₃	C₂×#461	1	1	yes	characteristic
200	C₂×C₄₃	C₂×#468	1	1	yes	characteristic
201	C₂×C₄₃	C₂×#471	1	1	yes	characteristic
202	C₂²×SD₁₆	—	2	1	no	—
203	C₂²×M₁₆	—	86	1	no	—
204	C₂×C₄⋊Q₈	—	43	1	no	—
205	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
206	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
207	#498	—	43	4	no	—
208	#498	—	86	2	no	—
209	#476	—	43	4	no	—
210	#476	—	86	2	no	—
211	#461	—	2	2	no	—
212	#461	C₂×D₄₃	1	4	yes	—
213	#436	—	43	4	no	—
214	#436	—	86	2	no	—
215	C₂×#106	—	86	1	no	—
216	C₂×#106	—	86	1	no	—
217	C₂×#106	—	86	1	no	—
218	C₂×C₄⋊C₈	—	43	1	no	—
219	C₂×C₄⋊C₈	—	43	1	no	—
220	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
221	C₂×#103	—	2	1	no	—
222	C₂×#102	—	86	1	no	—
223	C₂×C₂²⋊C₈	—	86	1	no	—
224	C₂×C₄×C₈	—	43	1	no	—
225	#335	—	43	4	no	—
226	#333	—	43	4	no	—
227	#332	—	43	4	no	—
228	C₄₃	C₂×#1691	1	1	yes	characteristic, complemented, Sylow
229	C₂²×Q₈	—	2	1	no	—
230	C₂²×Q₈	—	86	1	no	—
231	C₂²×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
232	C₂³×C₄	—	2	1	no	—
233	C₂×SD₁₆	—	2	4	no	—
234	C₂×SD₁₆	—	4	4	no	—
235	C₂×M₁₆	—	86	4	no	—
236	C₂×M₁₆	—	172	4	no	—
237	C₂²×C₈	—	2	1	no	—
238	C₂²×C₈	—	43	1	no	—
239	C₂²×C₈	—	43	1	no	—
240	C₂²×C₈	—	86	1	no	—
241	C₂²×C₈	—	86	1	no	—
242	C₄⋊Q₈	—	2	1	no	—
243	C₄⋊Q₈	—	2	1	no	—
244	C₄⋊Q₈	—	2	1	no	—
245	C₄⋊Q₈	—	43	2	no	—
246	C₄⋊Q₈	—	86	1	no	—
247	C₄⋊Q₈	—	86	1	no	—
248	C₄⋊Q₈	—	86	1	no	—
249	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
250	C₄×D₄	—	2	1	no	—
251	C₄×D₄	—	2	1	no	—
252	C₄×D₄	C₂²⋊D₄₃	1	2	yes	—
253	C₄×D₄	C₂²×D₄₃	1	2	yes	—
254	C₂×C₄⋊C₄	—	2	1	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	—	86	1	no	—
257	C₂×C₄⋊C₄	—	86	1	no	—
258	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
259	C₂×C₂²⋊C₄	—	2	1	no	—
260	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
261	#106	—	86	4	no	—
262	#106	—	86	4	no	—
263	#106	—	86	4	no	—
264	C₄⋊C₈	—	2	1	no	—
265	C₄⋊C₈	—	43	2	no	—
266	C₄⋊C₈	—	43	2	no	—
267	C₄⋊C₈	—	86	1	no	—
268	C₄⋊C₈	—	86	1	no	—
269	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
270	#103	—	2	4	no	—
271	#102	—	86	4	no	—
272	C₂²⋊C₈	—	86	4	no	—
273	C₄×C₈	—	43	2	no	—
274	C₄×C₈	—	43	2	no	—
275	C₂⁴	—	2	1	no	—
276	C₂×Q₈	—	2	2	no	—
277	C₂×Q₈	—	4	1	no	—
278	C₂×Q₈	—	4	2	no	—
279	C₂×Q₈	—	4	2	no	—
280	C₂×Q₈	—	86	2	no	—
281	C₂×Q₈	—	344	2	no	—
282	C₂×Q₈	—	172	1	no	—
283	C₂×D₄	—	2	1	no	—
284	C₂×D₄	—	2	2	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	2	2	no	—
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	—	4	2	no	—
291	C₂²×C₄	—	4	2	no	—
292	C₂²×C₄	—	4	1	no	—
293	C₂²×C₄	—	172	1	no	—
294	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
295	C₂²×C₄	#10621900	1	1	yes	characteristic
296	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
297	SD₁₆	—	4	8	no	—
298	M₁₆	—	172	8	no	—
299	C₂×C₈	—	2	2	no	—
300	C₂×C₈	—	4	2	no	—
301	C₂×C₈	—	43	4	no	—
302	C₂×C₈	—	43	2	no	—
303	C₂×C₈	—	43	2	no	—
304	C₂×C₈	—	86	2	no	—
305	C₂×C₈	—	86	2	no	—
306	C₂×C₈	—	86	2	no	—
307	C₂×C₈	—	172	2	no	—
308	C₂×C₈	—	172	2	no	—
309	C₄⋊C₄	—	2	1	no	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	4	1	no	—
313	C₄⋊C₄	—	4	1	no	—
314	C₄⋊C₄	—	86	2	no	—
315	C₄⋊C₄	—	86	2	no	—
316	C₄⋊C₄	—	172	1	no	—
317	C₄⋊C₄	—	172	1	no	—
318	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
319	C₂²⋊C₄	—	2	2	no	—
320	C₂²⋊C₄	—	2	2	no	—
321	C₄²	D₄×D₄₃	1	1	yes	characteristic
322	C₄²	#10621900	1	1	yes	characteristic
323	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
324	C₄²	C₂³×D₄₃	1	1	yes	characteristic
325	C₂³	—	2	2	no	—
326	C₂³	—	4	2	no	—
327	C₂³	—	4	2	no	—
328	C₂³	—	4	2	no	—
329	C₂³	#13063297	1	1	yes	characteristic
330	Q₈	—	4	2	no	—
331	Q₈	—	4	2	no	—
332	Q₈	—	8	2	no	—
333	Q₈	—	344	2	no	—
334	Q₈	—	344	2	no	—
335	D₄	—	2	2	no	—
336	D₄	—	2	2	no	—
337	D₄	—	4	2	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	4	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	8	2	no	—
346	C₂×C₄	—	344	2	no	—
347	C₂×C₄	—	172	2	no	—
348	C₂×C₄	#13063297	1	1	yes	characteristic
349	C₂×C₄	#13063297	1	1	yes	characteristic
350	C₂×C₄	#13063297	1	1	yes	characteristic
351	C₂×C₄	SD₁₆×D₄₃	1	2	yes	—
352	C₂×C₄	#13063351	1	2	yes	—
353	C₂×C₄	#13063354	1	2	yes	—
354	C₂×C₄	#13063355	1	2	yes	—
355	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
356	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
357	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
358	C₈	—	4	2	no	—
359	C₈	—	43	4	no	—
360	C₈	—	86	2	no	—
361	C₈	—	172	2	no	—
362	C₈	—	172	2	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	4	2	no	—
365	C₂²	—	4	2	no	—
366	C₂²	—	8	4	no	—
367	C₂²	#14583102	1	2	yes	—
368	C₂²	#14583143	1	2	yes	—
369	C₂²	#14583164	1	2	yes	—
370	C₂²	C₂×#13063297	1	1	yes	characteristic
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	4	2	no	—
374	C₄	—	8	2	no	—
375	C₄	—	344	2	no	—
376	C₄	#14583102	1	2	yes	—
377	C₄	#14583143	1	2	yes	—
378	C₄	C₂×SD₁₆×D₄₃	1	1	yes	characteristic
379	C₄	C₂×#13063351	1	1	yes	characteristic
380	C₄	C₂×#13063354	1	1	yes	characteristic
381	C₄	C₂×#13063355	1	1	yes	characteristic
382	C₂	—	8	2	no	—
383	C₂	#19134092	1	4	yes	direct product factor
384	C₂	C₂×#14583102	1	1	yes	characteristic
385	C₂	C₂×#14583143	1	1	yes	characteristic
386	C₂	C₂×#14583164	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13063297
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₄₃×#461	C₂
socle	C₂³×C₄₃	#121
prime radical	C₂²×D₄×C₄₃	D₄
hypercenter	C₂×#461	D₄₃
hypocenter	C₄₃	C₂×#1691
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#461

Complements

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

N	H ≅ G/N	type
1. C₂×#14583295	C₂	semidirect
4. #19134092	C₂	direct (N × H)
5. C₂×#14582651	C₂	semidirect
6. C₂×#14582647	C₂	semidirect
7. C₂×#14582645	C₂	semidirect
12. #14583295	C₂²	semidirect
25. #14582651	C₂²	semidirect
26. #14582647	C₂²	semidirect
27. #14582645	C₂²	semidirect
128. C₂×C₄₃⋊C₈	SD₁₆	semidirect
168. C₄₃⋊C₈	C₂×SD₁₆	semidirect
198. C₂×C₄₃	#1691	semidirect
228. C₄₃	C₂×#1691	semidirect
383. C₂	#19134092	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×#14583295	2
C₂×#14583189	2
C₂×#14582977	2
#19134092	2
C₂×#14582651	2
C₂×#14582647	2
C₂×#14582645	2
C₂×C₄₃×#461	2
C₂×#1691	43

Subgroups — C2×#19134092 #25079116

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19134092 #25079116