Subgroups — C₂×#19134082 #25079102

Order 11008.

758 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583278	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583179	C₂	1	1	yes	maximal, characteristic
3	C₂×#14582977	C₂	1	1	yes	maximal, characteristic
4	#19134082	C₂	1	8	yes	maximal, direct product factor
5	C₂×#14582649	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14582645	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582644	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₃×#474	C₂	1	1	yes	maximal, characteristic
9	C₂²×#10621885	—	2	1	no	—
10	C₂²×#10621885	—	2	1	no	—
11	C₂²×#10621877	—	2	1	no	—
12	C₂×#13063325	C₂²	1	1	yes	characteristic
13	#14583278	—	2	2	no	—
14	#14583278	C₂²	1	4	yes	complemented
15	#14583179	—	2	2	no	—
16	#14583179	C₂²	1	4	yes	—
17	#14582977	—	2	2	no	—
18	#14582977	C₂²	1	4	yes	—
19	C₂×#13063258	—	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	#14582649	C₂²	1	4	yes	complemented
26	#14582645	C₂²	1	4	yes	complemented
27	#14582644	C₂²	1	4	yes	complemented
28	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
29	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
30	C₄₃×#474	—	2	2	no	—
31	C₄₃×#474	C₂²	1	4	yes	—
32	C₂×#107×C₄₃	—	2	1	no	—
33	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
34	C₂×#102×C₄₃	—	2	1	no	—
35	C₂²×Dic₈₆	—	2	1	no	—
36	C₂×#10621885	—	2	4	no	—
37	C₂×#10621885	—	2	4	no	—
38	C₂×#10621885	—	4	4	no	—
39	C₂×#10621885	—	4	4	no	—
40	C₂×#10621877	—	2	4	no	—
41	C₂×#10621877	—	4	4	no	—
42	C₂²×C₄₃⋊C₈	—	2	1	no	—
43	C₂²×C₄₃⋊C₈	—	2	1	no	—
44	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
45	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
46	#13063325	—	2	1	no	—
47	#13063325	—	2	1	no	—
48	#13063325	—	2	1	no	—
49	#13063325	C₂³	1	2	yes	—
50	C₂×C₄⋊Dic₄₃	—	2	1	no	—
51	C₂×C₄⋊Dic₄₃	—	2	1	no	—
52	#13063258	—	2	4	no	—
53	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
54	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
55	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
56	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
57	#13063246	—	2	4	no	—
58	C₂²⋊(C₄₃⋊C₈)	—	2	4	no	—
59	C₄×C₄₃⋊C₈	D₄	1	2	yes	—
60	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
61	C₂²×Q₈×C₄₃	—	2	1	no	—
62	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
63	C₂³×C₄×C₄₃	—	2	1	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	#107×C₄₃	—	2	4	no	—
79	C₄⋊C₈×C₄₃	—	2	1	no	—
80	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
81	#102×C₄₃	—	2	4	no	—
82	C₂⁴×C₄₃	—	2	1	no	—
83	C₂×Q₈×C₄₃	—	2	2	no	—
84	C₂×Q₈×C₄₃	—	4	1	no	—
85	C₂×Q₈×C₄₃	—	4	2	no	—
86	C₂×Q₈×C₄₃	—	4	2	no	—
87	C₂×D₄×C₄₃	—	2	1	no	—
88	C₂×D₄×C₄₃	—	2	2	no	—
89	C₂×D₄×C₄₃	—	2	2	no	—
90	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₄₃	—	2	2	no	—
92	C₂²×C₄×C₄₃	—	2	2	no	—
93	C₂²×C₄×C₄₃	—	2	1	no	—
94	C₂²×C₄×C₄₃	—	4	2	no	—
95	C₂²×C₄×C₄₃	—	4	2	no	—
96	C₂²×C₄×C₄₃	—	4	1	no	—
97	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
100	C₂²×Dic₄₃	—	4	1	no	—
101	C₂×Dic₈₆	—	2	2	no	—
102	C₂×Dic₈₆	—	4	2	no	—
103	C₂×Dic₈₆	—	4	2	no	—
104	C₂×Dic₈₆	—	4	1	no	—
105	C₂×C₈×C₄₃	—	2	2	no	—
106	C₂×C₈×C₄₃	—	4	2	no	—
107	C₄⋊C₄×C₄₃	—	2	1	no	—
108	C₄⋊C₄×C₄₃	—	2	2	no	—
109	C₄⋊C₄×C₄₃	—	2	2	no	—
110	C₄⋊C₄×C₄₃	—	4	1	no	—
111	C₄⋊C₄×C₄₃	—	4	1	no	—
112	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
113	C₂²⋊C₄×C₄₃	—	2	2	no	—
114	C₂²⋊C₄×C₄₃	—	2	2	no	—
115	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₃	#41	1	1	yes	characteristic
118	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
119	#10621885	—	4	8	no	—
120	#10621885	—	4	8	no	—
121	C₄⋊Dic₄₃	—	2	2	no	—
122	C₄⋊Dic₄₃	—	2	2	no	—
123	C₄⋊Dic₄₃	—	4	1	no	—
124	C₄⋊Dic₄₃	—	4	1	no	—
125	#10621877	—	4	8	no	—
126	C₂×C₄₃⋊C₈	—	2	2	no	—
127	C₂×C₄₃⋊C₈	—	2	2	no	—
128	C₂×C₄₃⋊C₈	—	2	2	no	—
129	C₂×C₄₃⋊C₈	—	4	2	no	—
130	C₂×C₄₃⋊C₈	—	4	2	no	—
131	C₂×C₄₃⋊C₈	D₈	1	4	yes	—
132	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
133	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
134	C₂³×C₄₃	—	2	2	no	—
135	C₂³×C₄₃	—	4	2	no	—
136	C₂³×C₄₃	—	4	2	no	—
137	C₂³×C₄₃	—	4	2	no	—
138	C₂³×C₄₃	#121	1	1	yes	characteristic
139	Q₈×C₄₃	—	4	2	no	—
140	Q₈×C₄₃	—	4	2	no	—
141	Q₈×C₄₃	—	8	2	no	—
142	D₄×C₄₃	—	2	2	no	—
143	D₄×C₄₃	—	2	2	no	—
144	D₄×C₄₃	—	4	2	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	2	2	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	4	2	no	—
150	C₂×C₄×C₄₃	—	4	4	no	—
151	C₂×C₄×C₄₃	—	4	2	no	—
152	C₂×C₄×C₄₃	—	8	2	no	—
153	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
154	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
155	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₂×D₈	1	2	yes	—
157	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
158	C₂×C₄×C₄₃	#137	1	2	yes	—
159	C₂×C₄×C₄₃	#137	1	2	yes	—
160	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
163	C₂×Dic₄₃	—	4	2	no	—
164	C₂×Dic₄₃	—	8	2	no	—
165	Dic₈₆	—	4	2	no	—
166	Dic₈₆	—	4	2	no	—
167	Dic₈₆	—	8	2	no	—
168	C₈×C₄₃	—	4	2	no	—
169	C₄₃⋊C₈	—	2	2	no	—
170	C₄₃⋊C₈	—	4	2	no	—
171	C₄₃⋊C₈	—	4	2	no	—
172	C₄₃⋊C₈	C₂×D₈	1	4	yes	—
173	C₂×#1689	—	43	1	no	maximal, Sylow
174	C₂²×C₄₃	—	4	2	no	—
175	C₂²×C₄₃	—	4	2	no	—
176	C₂²×C₄₃	—	4	2	no	—
177	C₂²×C₄₃	—	8	4	no	—
178	C₂²×C₄₃	#459	1	2	yes	—
179	C₂²×C₄₃	#470	1	2	yes	—
180	C₂²×C₄₃	#473	1	2	yes	—
181	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
182	C₄×C₄₃	—	2	1	no	—
183	C₄×C₄₃	—	2	1	no	—
184	C₄×C₄₃	—	4	2	no	—
185	C₄×C₄₃	—	8	2	no	—
186	C₄×C₄₃	#459	1	2	yes	—
187	C₄×C₄₃	#470	1	2	yes	—
188	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
189	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
190	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
191	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
192	Dic₄₃	—	8	2	no	—
193	C₂×#494	—	43	1	no	—
194	C₂×#474	—	43	1	no	—
195	C₂×#474	D₄₃	1	1	yes	characteristic
196	C₂×#436	—	43	1	no	—
197	#1689	—	43	8	no	—
198	C₂×#334	—	43	1	no	—
199	C₂×#332	—	43	1	no	—
200	C₂×#332	—	43	1	no	—
201	C₂×C₄₃	—	8	2	no	—
202	C₂×C₄₃	#1689	1	4	yes	complemented
203	C₂×C₄₃	C₂×#459	1	1	yes	characteristic
204	C₂×C₄₃	C₂×#470	1	1	yes	characteristic
205	C₂×C₄₃	C₂×#473	1	1	yes	characteristic
206	C₂²×Q₁₆	—	86	1	no	—
207	C₂²×Q₁₆	—	86	1	no	—
208	C₂²×M₁₆	—	86	1	no	—
209	C₂×C₄⋊Q₈	—	43	1	no	—
210	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
211	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
212	#494	—	43	4	no	—
213	#494	—	86	2	no	—
214	#474	—	2	2	no	—
215	#474	—	43	4	no	—
216	#474	—	86	2	no	—
217	#474	C₂×D₄₃	1	4	yes	—
218	#436	—	43	4	no	—
219	#436	—	86	2	no	—
220	C₂×#107	—	2	1	no	—
221	C₂×#107	—	86	1	no	—
222	C₂×C₄⋊C₈	—	43	1	no	—
223	C₂×C₄⋊C₈	—	43	1	no	—
224	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
225	C₂×#102	—	2	1	no	—
226	C₂×#102	—	86	1	no	—
227	C₂×C₂²⋊C₈	—	86	1	no	—
228	C₂×C₄×C₈	—	43	1	no	—
229	#334	—	43	4	no	—
230	#332	—	43	4	no	—
231	#332	—	43	4	no	—
232	C₄₃	C₂×#1689	1	1	yes	characteristic, complemented, Sylow
233	C₂²×Q₈	—	2	1	no	—
234	C₂²×Q₈	—	86	1	no	—
235	C₂²×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
236	C₂³×C₄	—	2	1	no	—
237	C₂×Q₁₆	—	86	4	no	—
238	C₂×Q₁₆	—	86	4	no	—
239	C₂×Q₁₆	—	172	4	no	—
240	C₂×Q₁₆	—	172	4	no	—
241	C₂×M₁₆	—	86	4	no	—
242	C₂×M₁₆	—	172	4	no	—
243	C₂²×C₈	—	2	1	no	—
244	C₂²×C₈	—	43	1	no	—
245	C₂²×C₈	—	43	1	no	—
246	C₂²×C₈	—	86	1	no	—
247	C₂²×C₈	—	86	1	no	—
248	C₄⋊Q₈	—	2	1	no	—
249	C₄⋊Q₈	—	2	1	no	—
250	C₄⋊Q₈	—	2	1	no	—
251	C₄⋊Q₈	—	43	2	no	—
252	C₄⋊Q₈	—	86	1	no	—
253	C₄⋊Q₈	—	86	1	no	—
254	C₄⋊Q₈	—	86	1	no	—
255	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
256	C₄×D₄	—	2	1	no	—
257	C₄×D₄	—	2	1	no	—
258	C₄×D₄	C₂²⋊D₄₃	1	2	yes	—
259	C₄×D₄	C₂²×D₄₃	1	2	yes	—
260	C₂×C₄⋊C₄	—	2	1	no	—
261	C₂×C₄⋊C₄	—	2	1	no	—
262	C₂×C₄⋊C₄	—	86	1	no	—
263	C₂×C₄⋊C₄	—	86	1	no	—
264	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
265	C₂×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
267	#107	—	2	4	no	—
268	#107	—	86	4	no	—
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	43	2	no	—
271	C₄⋊C₈	—	43	2	no	—
272	C₄⋊C₈	—	86	1	no	—
273	C₄⋊C₈	—	86	1	no	—
274	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
275	#102	—	2	4	no	—
276	#102	—	86	4	no	—
277	C₂²⋊C₈	—	86	4	no	—
278	C₄×C₈	—	43	2	no	—
279	C₄×C₈	—	43	2	no	—
280	C₂⁴	—	2	1	no	—
281	C₂×Q₈	—	2	2	no	—
282	C₂×Q₈	—	4	1	no	—
283	C₂×Q₈	—	4	2	no	—
284	C₂×Q₈	—	4	2	no	—
285	C₂×Q₈	—	86	2	no	—
286	C₂×Q₈	—	172	2	no	—
287	C₂×Q₈	—	172	2	no	—
288	C₂×Q₈	—	172	1	no	—
289	C₂×D₄	—	2	1	no	—
290	C₂×D₄	—	2	2	no	—
291	C₂×D₄	—	2	2	no	—
292	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
293	C₂²×C₄	—	2	1	no	—
294	C₂²×C₄	—	2	2	no	—
295	C₂²×C₄	—	2	2	no	—
296	C₂²×C₄	—	4	2	no	—
297	C₂²×C₄	—	4	2	no	—
298	C₂²×C₄	—	4	1	no	—
299	C₂²×C₄	—	172	1	no	—
300	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
301	C₂²×C₄	#10621900	1	1	yes	characteristic
302	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
303	Q₁₆	—	172	8	no	—
304	Q₁₆	—	172	8	no	—
305	M₁₆	—	172	8	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	4	2	no	—
308	C₂×C₈	—	43	4	no	—
309	C₂×C₈	—	43	2	no	—
310	C₂×C₈	—	43	2	no	—
311	C₂×C₈	—	86	2	no	—
312	C₂×C₈	—	86	2	no	—
313	C₂×C₈	—	86	2	no	—
314	C₂×C₈	—	172	2	no	—
315	C₂×C₈	—	172	2	no	—
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	4	1	no	—
320	C₄⋊C₄	—	4	1	no	—
321	C₄⋊C₄	—	86	2	no	—
322	C₄⋊C₄	—	86	2	no	—
323	C₄⋊C₄	—	172	1	no	—
324	C₄⋊C₄	—	172	1	no	—
325	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
326	C₂²⋊C₄	—	2	2	no	—
327	C₂²⋊C₄	—	2	2	no	—
328	C₄²	D₄×D₄₃	1	1	yes	characteristic
329	C₄²	#10621900	1	1	yes	characteristic
330	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
331	C₄²	C₂³×D₄₃	1	1	yes	characteristic
332	C₂³	—	2	2	no	—
333	C₂³	—	4	2	no	—
334	C₂³	—	4	2	no	—
335	C₂³	—	4	2	no	—
336	C₂³	#13063297	1	1	yes	characteristic
337	Q₈	—	4	2	no	—
338	Q₈	—	4	2	no	—
339	Q₈	—	8	2	no	—
340	Q₈	—	344	2	no	—
341	Q₈	—	172	2	no	—
342	Q₈	—	172	2	no	—
343	D₄	—	2	2	no	—
344	D₄	—	2	2	no	—
345	D₄	—	4	2	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	4	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	8	2	no	—
354	C₂×C₄	—	344	2	no	—
355	C₂×C₄	—	172	2	no	—
356	C₂×C₄	#13063297	1	1	yes	characteristic
357	C₂×C₄	#13063297	1	1	yes	characteristic
358	C₂×C₄	#13063297	1	1	yes	characteristic
359	C₂×C₄	D₈×D₄₃	1	2	yes	—
360	C₂×C₄	#13063349	1	2	yes	—
361	C₂×C₄	#13063355	1	2	yes	—
362	C₂×C₄	#13063356	1	2	yes	—
363	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
364	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
365	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
366	C₈	—	4	2	no	—
367	C₈	—	43	4	no	—
368	C₈	—	86	2	no	—
369	C₈	—	172	2	no	—
370	C₈	—	172	2	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	4	2	no	—
373	C₂²	—	4	2	no	—
374	C₂²	—	8	4	no	—
375	C₂²	#14583092	1	2	yes	—
376	C₂²	#14583155	1	2	yes	—
377	C₂²	#14583172	1	2	yes	—
378	C₂²	C₂×#13063297	1	1	yes	characteristic
379	C₄	—	2	1	no	—
380	C₄	—	2	1	no	—
381	C₄	—	4	2	no	—
382	C₄	—	8	2	no	—
383	C₄	—	344	2	no	—
384	C₄	#14583092	1	2	yes	—
385	C₄	#14583155	1	2	yes	—
386	C₄	C₂×D₈×D₄₃	1	1	yes	characteristic
387	C₄	C₂×#13063349	1	1	yes	characteristic
388	C₄	C₂×#13063355	1	1	yes	characteristic
389	C₄	C₂×#13063356	1	1	yes	characteristic
390	C₂	—	8	2	no	—
391	C₂	#19134082	1	4	yes	direct product factor
392	C₂	C₂×#14583092	1	1	yes	characteristic
393	C₂	C₂×#14583155	1	1	yes	characteristic
394	C₂	C₂×#14583172	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13063297
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₄₃×#474	C₂
socle	C₂³×C₄₃	#121
prime radical	C₂²×D₄×C₄₃	D₄
hypercenter	C₂×#474	D₄₃
hypocenter	C₄₃	C₂×#1689
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#474

Complements

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

N	H ≅ G/N	type
1. C₂×#14583278	C₂	semidirect
4. #19134082	C₂	direct (N × H)
5. C₂×#14582649	C₂	semidirect
6. C₂×#14582645	C₂	semidirect
7. C₂×#14582644	C₂	semidirect
14. #14583278	C₂²	semidirect
25. #14582649	C₂²	semidirect
26. #14582645	C₂²	semidirect
27. #14582644	C₂²	semidirect
202. C₂×C₄₃	#1689	semidirect
232. C₄₃	C₂×#1689	semidirect
391. C₂	#19134082	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×#14583278	2
C₂×#14583179	2
C₂×#14582977	2
#19134082	2
C₂×#14582649	2
C₂×#14582645	2
C₂×#14582644	2
C₂×C₄₃×#474	2
C₂×#1689	43

Subgroups — C2×#19134082 #25079102

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19134082 #25079102