Subgroups — C₂×#19143308 #25960472

Order 11008.

2894 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13063331	C₂	1	2	yes	maximal, complemented
2	C₂×#14583449	C₂	1	1	yes	maximal, characteristic
3	#19143308	C₂	1	16	yes	maximal, direct product factor
4	C₂×#14582978	C₂	1	4	yes	maximal, complemented
5	C₂×C₈×D₁₇₂	C₂	1	4	yes	maximal, complemented
6	C₂×#14582923	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582865	C₂	1	2	yes	maximal, complemented
8	C₂²×C₄×C₈×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#10621898	C₂²	1	2	yes	—
10	C₂×#13063331	—	2	16	no	—
11	C₂×#13063331	C₂²	1	16	yes	complemented
12	C₂²×#10621877	C₂²	1	2	yes	—
13	C₂²×#10621872	C₂²	1	4	yes	—
14	C₂²×C₈×D₄₃	C₂²	1	4	yes	—
15	#14583449	C₄	1	8	yes	—
16	#14583449	C₂²	1	8	yes	—
17	C₂×#13063325	C₄	1	1	yes	characteristic
18	C₂×#13063322	C₄	1	1	yes	characteristic
19	C₂×#13063313	C₄	1	2	yes	—
20	C₂×#13063299	C₄	1	4	yes	—
21	C₂×C₄×D₁₇₂	C₂²	1	4	yes	—
22	#14582978	C₂²	1	32	yes	complemented
23	C₈×D₁₇₂	C₂²	1	32	yes	complemented
24	#14582923	C₂²	1	8	yes	complemented
25	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	4	yes	—
26	#14582865	C₂²	1	16	yes	complemented
27	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	8	yes	—
28	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
29	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
30	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₈×C₄₃	C₂²	1	2	yes	—
32	C₂×C₄×C₈×C₄₃	C₂²	1	2	yes	—
33	C₂×C₄×C₈×C₄₃	C₂²	1	8	yes	complemented
34	C₂×#10621898	—	2	8	no	—
35	C₂×#10621898	—	2	8	no	—
36	C₂×#10621898	C₂×C₄	1	8	yes	—
37	C₂×#10621898	C₂³	1	8	yes	—
38	C₂²×Dic₈₆	C₂×C₄	1	2	yes	—
39	C₂²×D₁₇₂	C₂×C₄	1	4	yes	—
40	C₂²×D₁₇₂	C₂×C₄	1	2	yes	—
41	C₂²×C₂²⋊D₄₃	C₂×C₄	1	4	yes	—
42	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
43	#13063331	—	2	64	no	—
44	C₂×#10621877	—	2	8	no	—
45	C₂×#10621877	C₂³	1	8	yes	—
46	C₂×#10621872	—	2	16	no	—
47	C₂×#10621872	C₂³	1	16	yes	—
48	C₂²×C₄₃⋊C₈	C₂³	1	4	yes	—
49	C₂×C₈×D₄₃	—	2	16	no	—
50	C₂×C₈×D₄₃	C₂³	1	16	yes	—
51	#13063325	C₂×C₄	1	8	yes	—
52	#13063322	C₂×C₄	1	8	yes	—
53	#13063313	C₂×C₄	1	16	yes	—
54	#13063299	C₂×C₄	1	32	yes	—
55	C₄×D₁₇₂	C₂×C₄	1	16	yes	—
56	C₄×D₁₇₂	C₂³	1	16	yes	—
57	C₂×C₄⋊Dic₄₃	C₂×C₄	1	4	yes	—
58	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	8	yes	—
59	C₄⋊(C₄₃⋊C₈)	C₂³	1	16	yes	—
60	(C₂×D₄₃)⋊C₈	C₂³	1	32	yes	—
61	C₂³×C₄×C₄₃	C₂×C₄	1	2	yes	—
62	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
63	C₂²×C₈×C₄₃	—	2	4	no	—
64	C₂²×C₈×C₄₃	D₄	1	8	yes	complemented
65	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
66	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
67	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
68	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
69	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
70	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
71	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
72	C₂×C₄²×C₄₃	C₂×C₄	1	4	yes	—
73	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
74	C₂×C₄²×C₄₃	C₂³	1	4	yes	—
75	C₄×C₈×C₄₃	C₂³	1	8	yes	—
76	C₄×C₈×C₄₃	C₂³	1	8	yes	—
77	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
78	C₂³×D₄₃	C₂²×C₄	1	4	yes	—
79	C₂²×C₄×C₄₃	—	2	8	no	—
80	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₄₃	C₂²×C₄	1	8	yes	—
82	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
86	C₂²×C₄×C₄₃	#41	1	4	yes	—
87	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
88	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
89	C₂×C₂²⋊D₄₃	—	2	16	no	—
90	C₂×C₂²⋊D₄₃	C₂²×C₄	1	16	yes	—
91	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
92	#10621898	—	2	32	no	—
93	#10621898	—	2	16	no	—
94	#10621898	—	2	16	no	—
95	C₂×D₁₇₂	—	2	8	no	—
96	C₂×D₁₇₂	—	2	16	no	—
97	C₂×D₁₇₂	C₂²×C₄	1	16	yes	—
98	C₂×D₁₇₂	C₂²×C₄	1	8	yes	—
99	C₂×C₄×D₄₃	—	2	8	no	—
100	C₂×C₄×D₄₃	—	2	8	no	—
101	C₂×C₄×D₄₃	C₂²×C₄	1	8	yes	—
102	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
103	C₂×Dic₈₆	—	2	8	no	—
104	C₂×Dic₈₆	C₂²×C₄	1	8	yes	—
105	C₂×C₈×C₄₃	—	2	4	no	—
106	C₂×C₈×C₄₃	—	2	8	no	—
107	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
108	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
109	C₂×C₈×C₄₃	C₂×D₄	1	16	yes	complemented
110	C₂×C₈×C₄₃	C₂⁴	1	4	yes	—
111	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
112	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
113	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
114	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
115	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
116	C₄²×C₄₃	C₂⁴	1	4	yes	—
117	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	32	yes	—
118	C₄⋊Dic₄₃	C₂²×C₄	1	16	yes	—
119	#10621877	—	2	16	no	—
120	C₂×C₄₃⋊C₈	—	2	8	no	—
121	C₂×C₄₃⋊C₈	C₂⁴	1	8	yes	—
122	#10621872	—	2	32	no	—
123	C₈×D₄₃	—	2	32	no	—
124	C₂³×C₄₃	—	2	4	no	—
125	C₂³×C₄₃	C₄×D₄	1	4	yes	—
126	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
127	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
128	C₂²×D₄₃	—	2	8	no	—
129	C₂²×D₄₃	—	2	16	no	—
130	C₂²×D₄₃	C₂³×C₄	1	8	yes	—
131	C₂×C₄×C₄₃	—	2	4	no	—
132	C₂×C₄×C₄₃	—	2	16	no	—
133	C₂×C₄×C₄₃	C₄×D₄	1	4	yes	—
134	C₂×C₄×C₄₃	C₄×D₄	1	8	yes	—
135	C₂×C₄×C₄₃	#131	1	8	yes	complemented
136	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
137	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
138	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
139	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
140	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
141	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
142	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
143	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
144	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
145	C₂²⋊D₄₃	—	2	32	no	—
146	C₂×Dic₄₃	—	2	8	no	—
147	C₂×Dic₄₃	C₂³×C₄	1	8	yes	—
148	D₁₇₂	—	2	16	no	—
149	D₁₇₂	—	2	32	no	—
150	C₄×D₄₃	—	2	16	no	—
151	C₄×D₄₃	—	2	8	no	—
152	C₄×D₄₃	—	2	8	no	—
153	Dic₈₆	—	2	16	no	—
154	C₈×C₄₃	—	2	4	no	—
155	C₈×C₄₃	C₂²×D₄	1	4	yes	—
156	C₈×C₄₃	C₂²×D₄	1	4	yes	—
157	C₄₃⋊C₈	—	2	8	no	—
158	C₂×#2931	—	43	1	no	maximal, Sylow
159	C₂²×C₄₃	—	2	8	no	—
160	C₂²×C₄₃	—	2	4	no	—
161	C₂²×C₄₃	C₂×C₄×D₄	1	4	yes	—
162	C₂²×C₄₃	C₂×C₄×D₄	1	2	yes	—
163	C₂²×C₄₃	C₂×#131	1	4	yes	—
164	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
165	C₂×D₄₃	—	2	8	no	—
166	C₂×D₄₃	—	2	16	no	—
167	C₂×D₄₃	—	4	16	no	—
168	C₄×C₄₃	—	2	4	no	—
169	C₄×C₄₃	C₂×C₄×D₄	1	4	yes	—
170	C₄×C₄₃	C₂×C₄×D₄	1	2	yes	—
171	C₄×C₄₃	C₂×#131	1	8	yes	complemented
172	C₄×C₄₃	C₂³×D₄	1	1	yes	characteristic
173	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
174	Dic₄₃	—	2	8	no	—
175	C₂²×#131	—	43	2	no	—
176	C₂×#532	—	43	1	no	—
177	#2931	—	43	16	no	—
178	C₂×#436	—	43	4	no	—
179	C₂×C₈×D₄	—	43	4	no	—
180	C₂×#423	—	43	1	no	—
181	C₂×#408	—	43	2	no	—
182	C₂²×C₄×C₈	D₄₃	1	1	yes	characteristic, complemented
183	C₂×C₄₃	—	2	4	no	—
184	C₂×C₄₃	#2931	1	4	yes	complemented
185	C₂×C₄₃	C₂²×C₄×D₄	1	1	yes	characteristic
186	C₂×C₄₃	C₂²×#131	1	2	yes	—
187	D₄₃	—	4	8	no	—
188	C₂²×#41	—	43	2	no	—
189	C₂×#131	—	43	16	no	—
190	C₂×#131	—	86	16	no	—
191	C₂²×M₁₆	—	43	2	no	—
192	C₂²×M₁₆	—	43	4	no	—
193	C₂³×C₈	—	43	4	no	—
194	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
195	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
196	#532	—	43	8	no	—
197	#532	—	43	8	no	—
198	C₂×C₄⋊Q₈	—	43	1	no	—
199	C₂×#127	—	43	1	no	—
200	C₂×#124	—	43	2	no	—
201	C₂×#121	—	43	4	no	—
202	C₂×C₄×D₄	—	43	4	no	—
203	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
204	#436	—	43	32	no	—
205	C₈×D₄	—	43	32	no	—
206	#423	—	43	8	no	—
207	C₂×C₄⋊C₈	—	43	4	no	—
208	#408	—	43	16	no	—
209	C₂×C₂²⋊C₈	—	43	8	no	—
210	C₂×C₄×C₈	C₂×D₄₃	1	2	yes	—
211	C₂×C₄×C₈	C₂×D₄₃	1	2	yes	—
212	C₂×C₄×C₈	C₂×D₄₃	1	8	yes	complemented
213	C₄₃	C₂×#2931	1	1	yes	characteristic, complemented, Sylow
214	C₂×#41	—	43	8	no	—
215	C₂×#41	—	43	8	no	—
216	C₂×#41	—	86	8	no	—
217	C₂×#41	—	86	8	no	—
218	C₂²×Q₈	—	43	2	no	—
219	C₂²×D₄	—	43	4	no	—
220	C₂²×D₄	—	43	4	no	—
221	C₂²×D₄	—	43	2	no	—
222	C₂³×C₄	—	43	4	no	—
223	C₂³×C₄	C₄×D₄₃	1	2	yes	—
224	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
225	#131	—	86	64	no	—
226	C₂×M₁₆	—	43	8	no	—
227	C₂×M₁₆	—	43	16	no	—
228	C₂×M₁₆	—	86	8	no	—
229	C₂×M₁₆	—	86	16	no	—
230	C₂²×C₈	—	2	4	no	—
231	C₂²×C₈	—	43	4	no	—
232	C₂²×C₈	—	43	16	no	—
233	C₂²×C₈	—	86	16	no	—
234	C₂²×C₈	D₁₇₂	1	8	yes	complemented
235	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
236	C₂²×C₈	C₂²×D₄₃	1	4	yes	—
237	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
238	C₂²×C₈	C₂²×D₄₃	1	4	yes	—
239	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
240	C₄⋊Q₈	—	43	8	no	—
241	#127	—	43	8	no	—
242	#124	—	43	16	no	—
243	#121	—	43	32	no	—
244	C₄×D₄	—	43	16	no	—
245	C₄×D₄	—	43	16	no	—
246	C₂×C₄⋊C₄	—	43	4	no	—
247	C₂×C₂²⋊C₄	—	43	8	no	—
248	C₂×C₄²	C₄×D₄₃	1	1	yes	characteristic
249	C₂×C₄²	C₄×D₄₃	1	1	yes	characteristic
250	C₂×C₄²	C₄×D₄₃	1	4	yes	—
251	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
252	C₂×C₄²	C₂²×D₄₃	1	4	yes	—
253	C₄⋊C₈	—	43	16	no	—
254	C₂²⋊C₈	—	43	32	no	—
255	C₄×C₈	C₂²×D₄₃	1	8	yes	—
256	C₄×C₈	C₂²×D₄₃	1	8	yes	—
257	C₂⁴	—	43	4	no	—
258	C₂⁴	C₂×C₄×D₄₃	1	1	yes	characteristic
259	#41	—	86	32	no	—
260	#41	—	86	16	no	—
261	#41	—	86	16	no	—
262	C₂×Q₈	—	43	8	no	—
263	C₂×Q₈	—	86	8	no	—
264	C₂×D₄	—	43	16	no	—
265	C₂×D₄	—	43	16	no	—
266	C₂×D₄	—	43	8	no	—
267	C₂×D₄	—	86	16	no	—
268	C₂×D₄	—	86	8	no	—
269	C₂×D₄	—	86	16	no	—
270	C₂²×C₄	—	2	8	no	—
271	C₂²×C₄	—	43	4	no	—
272	C₂²×C₄	—	43	8	no	—
273	C₂²×C₄	—	43	8	no	—
274	C₂²×C₄	—	86	8	no	—
275	C₂²×C₄	—	86	8	no	—
276	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
277	C₂²×C₄	C₂×C₄×D₄₃	1	8	yes	—
278	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
279	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
280	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
281	C₂²×C₄	C₂×D₁₇₂	1	4	yes	—
282	C₂²×C₄	#10621898	1	4	yes	—
283	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
284	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
285	M₁₆	—	86	16	no	—
286	M₁₆	—	86	32	no	—
287	C₂×C₈	—	2	4	no	—
288	C₂×C₈	—	2	8	no	—
289	C₂×C₈	—	43	8	no	—
290	C₂×C₈	—	86	8	no	—
291	C₂×C₈	—	86	32	no	—
292	C₂×C₈	C₂×D₁₇₂	1	4	yes	—
293	C₂×C₈	C₂×D₁₇₂	1	4	yes	—
294	C₂×C₈	C₂×D₁₇₂	1	16	yes	complemented
295	C₂×C₈	C₂³×D₄₃	1	4	yes	—
296	C₂×C₈	C₂³×D₄₃	1	2	yes	—
297	C₂×C₈	C₂³×D₄₃	1	2	yes	—
298	C₄⋊C₄	—	43	16	no	—
299	C₂²⋊C₄	—	43	32	no	—
300	C₄²	C₂×C₄×D₄₃	1	4	yes	—
301	C₄²	C₂×C₄×D₄₃	1	4	yes	—
302	C₄²	C₂×C₄×D₄₃	1	4	yes	—
303	C₄²	C₂³×D₄₃	1	4	yes	—
304	C₂³	—	2	4	no	—
305	C₂³	—	43	8	no	—
306	C₂³	—	86	8	no	—
307	C₂³	—	86	16	no	—
308	C₂³	C₄×D₁₇₂	1	4	yes	—
309	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
310	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
311	Q₈	—	86	16	no	—
312	D₄	—	86	32	no	—
313	D₄	—	86	16	no	—
314	D₄	—	86	32	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	2	16	no	—
317	C₂×C₄	—	43	8	no	—
318	C₂×C₄	—	86	8	no	—
319	C₂×C₄	—	86	16	no	—
320	C₂×C₄	—	86	8	no	—
321	C₂×C₄	—	86	8	no	—
322	C₂×C₄	C₄×D₁₇₂	1	4	yes	—
323	C₂×C₄	C₄×D₁₇₂	1	8	yes	—
324	C₂×C₄	#13063331	1	8	yes	complemented
325	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
326	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
327	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
328	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
329	C₂×C₄	C₂²×D₁₇₂	1	2	yes	—
330	C₂×C₄	C₂²×D₁₇₂	1	4	yes	—
331	C₂×C₄	C₂×#10621898	1	2	yes	—
332	C₂×C₄	C₂×#10621898	1	4	yes	—
333	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
334	C₈	—	2	4	no	—
335	C₈	—	86	8	no	—
336	C₈	C₂²×D₁₇₂	1	4	yes	—
337	C₈	C₂²×D₁₇₂	1	4	yes	—
338	C₂²	—	2	8	no	—
339	C₂²	—	2	4	no	—
340	C₂²	—	86	16	no	—
341	C₂²	—	86	8	no	—
342	C₂²	—	172	16	no	—
343	C₂²	C₂×C₄×D₁₇₂	1	4	yes	—
344	C₂²	C₂×C₄×D₁₇₂	1	2	yes	—
345	C₂²	C₂×#13063331	1	4	yes	—
346	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
347	C₄	—	2	4	no	—
348	C₄	—	86	8	no	—
349	C₄	C₂×C₄×D₁₇₂	1	2	yes	—
350	C₄	C₂×C₄×D₁₇₂	1	4	yes	—
351	C₄	C₂×#13063331	1	8	yes	complemented
352	C₄	C₂³×D₁₇₂	1	1	yes	characteristic
353	C₄	C₂²×#10621898	1	1	yes	characteristic
354	C₂	—	2	4	no	—
355	C₂	—	172	8	no	—
356	C₂	#19143308	1	4	yes	direct product factor
357	C₂	C₂²×C₄×D₁₇₂	1	1	yes	characteristic
358	C₂	C₂²×#13063331	1	2	yes	—

	subgroup	G/H
center	C₂²×C₈	C₂²×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₂²×C₄×C₈×C₄₃	C₂
socle	C₂³×C₄₃	C₂³×C₄
prime radical	C₂×#14583449	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	C₂²×C₄×C₈	D₄₃
hypocenter	C₄₃	C₂×#2931
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₈ ◁ C₂²×C₄×C₈

Complements

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

N	H ≅ G/N	type
1. C₂²×#13063331	C₂	semidirect
3. #19143308	C₂	direct (N × H)
4. C₂×#14582978	C₂	semidirect
5. C₂×C₈×D₁₇₂	C₂	semidirect
6. C₂×#14582923	C₂	semidirect
7. C₂×#14582865	C₂	semidirect
8. C₂²×C₄×C₈×C₄₃	C₂	semidirect
11. C₂×#13063331	C₂²	semidirect
22. #14582978	C₂²	semidirect
23. C₈×D₁₇₂	C₂²	semidirect
24. #14582923	C₂²	semidirect
26. #14582865	C₂²	semidirect
33. C₂×C₄×C₈×C₄₃	C₂²	semidirect
64. C₂²×C₈×C₄₃	D₄	semidirect
109. C₂×C₈×C₄₃	C₂×D₄	semidirect
135. C₂×C₄×C₄₃	#131	semidirect
171. C₄×C₄₃	C₂×#131	semidirect
182. C₂²×C₄×C₈	D₄₃	semidirect
184. C₂×C₄₃	#2931	semidirect
212. C₂×C₄×C₈	C₂×D₄₃	semidirect
213. C₄₃	C₂×#2931	semidirect
234. C₂²×C₈	D₁₇₂	semidirect
294. C₂×C₈	C₂×D₁₇₂	semidirect
324. C₂×C₄	#13063331	semidirect
351. C₄	C₂×#13063331	semidirect
356. C₂	#19143308	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#13063331	2
C₂×#14583449	2
#19143308	2
C₂×#14582978	2
C₂×C₈×D₁₇₂	2
C₂×#14582923	2
C₂×#14582865	2
C₂²×C₄×C₈×C₄₃	2
C₂×#2931	43

Subgroups — C2×#19143308 #25960472

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19143308 #25960472