Subgroups — C₂²×C₂²⋊C₄×Dic₄₃ #25254772

Order 11008.

9534 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁵×Dic₄₃	C₂	1	1	yes	maximal, characteristic
2	C₂³×C₂²⋊Dic₄₃	C₂	1	1	yes	maximal, characteristic
3	C₂³×C₄×Dic₄₃	C₂	1	2	yes	maximal, complemented
4	C₂×C₂²⋊C₄×Dic₄₃	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₄₃⋊#95	C₂	1	2	yes	maximal, complemented
6	C₂³×C₂²⋊C₄×C₄₃	C₂	1	1	yes	maximal, characteristic
7	C₂⁴×Dic₄₃	—	2	16	no	—
8	C₂⁴×Dic₄₃	C₄	1	16	yes	complemented
9	C₂⁴×Dic₄₃	C₂²	1	1	yes	characteristic
10	C₂⁴×Dic₄₃	C₂²	1	12	yes	—
11	C₂⁴×Dic₄₃	C₂²	1	2	yes	—
12	C₂⁴×Dic₄₃	C₂²	1	1	yes	characteristic
13	C₂²×C₂²⋊Dic₄₃	C₄	1	16	yes	complemented
14	C₂²×C₂²⋊Dic₄₃	C₂²	1	12	yes	—
15	C₂²×C₄×Dic₄₃	—	2	16	no	—
16	C₂²×C₄×Dic₄₃	C₂²	1	24	yes	complemented
17	C₂²⋊C₄×Dic₄₃	C₂²	1	64	yes	direct product factor
18	C₂×C₄₃⋊#95	C₂²	1	24	yes	complemented
19	C₂⁶×C₄₃	C₂²	1	1	yes	characteristic
20	C₂⁴×C₄×C₄₃	C₂²	1	2	yes	—
21	C₂²×C₂²⋊C₄×C₄₃	C₄	1	16	yes	complemented
22	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	12	yes	—
23	C₂³×Dic₄₃	—	2	8	no	—
24	C₂³×Dic₄₃	—	2	8	no	—
25	C₂³×Dic₄₃	—	2	8	no	—
26	C₂³×Dic₄₃	—	2	128	no	—
27	C₂³×Dic₄₃	—	2	96	no	—
28	C₂³×Dic₄₃	C₂×C₄	1	8	yes	—
29	C₂³×Dic₄₃	C₂×C₄	1	8	yes	—
30	C₂³×Dic₄₃	C₂×C₄	1	96	yes	complemented
31	C₂³×Dic₄₃	C₂×C₄	1	16	yes	complemented
32	C₂³×Dic₄₃	D₄	1	16	yes	—
33	C₂³×Dic₄₃	C₂³	1	6	yes	—
34	C₂³×Dic₄₃	C₂³	1	12	yes	—
35	C₂³×Dic₄₃	C₂³	1	16	yes	—
36	C₂³×Dic₄₃	C₂³	1	6	yes	—
37	C₂×C₂²⋊Dic₄₃	C₂×C₄	1	96	yes	complemented
38	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	—
39	C₂×C₄×Dic₄₃	—	2	96	no	—
40	C₂×C₄×Dic₄₃	C₂³	1	32	yes	complemented
41	C₄₃⋊#95	C₂³	1	32	yes	complemented
42	C₂⁵×C₄₃	—	2	8	no	—
43	C₂⁵×C₄₃	—	2	8	no	—
44	C₂⁵×C₄₃	C₂×C₄	1	8	yes	—
45	C₂⁵×C₄₃	C₂×C₄	1	8	yes	—
46	C₂⁵×C₄₃	C₂×C₄	1	8	yes	—
47	C₂⁵×C₄₃	C₂³	1	6	yes	—
48	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
49	C₂³×C₄×C₄₃	—	2	8	no	—
50	C₂³×C₄×C₄₃	—	2	8	no	—
51	C₂³×C₄×C₄₃	C₂×C₄	1	16	yes	complemented
52	C₂³×C₄×C₄₃	C₂³	1	12	yes	—
53	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	96	yes	complemented
54	C₂×C₂²⋊C₄×C₄₃	C₂³	1	16	yes	—
55	C₂⁴×C₄₃	—	2	32	no	—
56	C₂⁴×C₄₃	—	2	32	no	—
57	C₂⁴×C₄₃	—	2	64	no	—
58	C₂⁴×C₄₃	—	2	64	no	—
59	C₂⁴×C₄₃	—	2	24	no	—
60	C₂⁴×C₄₃	—	2	24	no	—
61	C₂⁴×C₄₃	C₄²	1	64	yes	complemented
62	C₂⁴×C₄₃	C₂²×C₄	1	24	yes	—
63	C₂⁴×C₄₃	C₂²×C₄	1	24	yes	—
64	C₂⁴×C₄₃	C₂²×C₄	1	24	yes	—
65	C₂⁴×C₄₃	C₂²×C₄	1	4	yes	—
66	C₂⁴×C₄₃	C₂²×C₄	1	4	yes	—
67	C₂⁴×C₄₃	C₂²×C₄	1	4	yes	—
68	C₂⁴×C₄₃	C₂×D₄	1	8	yes	—
69	C₂⁴×C₄₃	#41	1	8	yes	—
70	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
71	C₂⁴×C₄₃	C₂⁴	1	3	yes	—
72	C₂²×C₄×C₄₃	—	2	64	no	—
73	C₂²×C₄×C₄₃	—	2	24	no	—
74	C₂²×C₄×C₄₃	—	2	24	no	—
75	C₂²×C₄×C₄₃	C₂²×C₄	1	48	yes	complemented
76	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
77	C₂²×Dic₄₃	—	2	384	no	—
78	C₂²×Dic₄₃	—	2	64	no	—
79	C₂²×Dic₄₃	—	2	32	no	—
80	C₂²×Dic₄₃	—	2	64	no	—
81	C₂²×Dic₄₃	—	2	24	no	—
82	C₂²×Dic₄₃	—	2	24	no	—
83	C₂²×Dic₄₃	—	2	24	no	—
84	C₂²×Dic₄₃	C₂²⋊C₄	1	64	yes	direct product factor
85	C₂²×Dic₄₃	C₂²×C₄	1	24	yes	—
86	C₂²×Dic₄₃	C₂²×C₄	1	24	yes	—
87	C₂²×Dic₄₃	C₂²×C₄	1	64	yes	complemented
88	C₂²×Dic₄₃	C₂²×C₄	1	48	yes	complemented
89	C₂²×Dic₄₃	C₂×D₄	1	48	yes	—
90	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
91	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
92	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
93	C₂²⋊C₄×C₄₃	C₂²×C₄	1	64	yes	complemented
94	C₂²⋊Dic₄₃	C₂²×C₄	1	64	yes	complemented
95	C₄×Dic₄₃	—	2	64	no	—
96	C₂³×C₄₃	—	2	48	no	—
97	C₂³×C₄₃	—	2	48	no	—
98	C₂³×C₄₃	—	2	96	no	—
99	C₂³×C₄₃	—	2	96	no	—
100	C₂³×C₄₃	—	2	8	no	—
101	C₂³×C₄₃	—	2	8	no	—
102	C₂³×C₄₃	—	2	256	no	—
103	C₂³×C₄₃	C₂×C₄²	1	16	yes	—
104	C₂³×C₄₃	C₂×C₄²	1	96	yes	complemented
105	C₂³×C₄₃	C₂×C₂²⋊C₄	1	16	yes	—
106	C₂³×C₄₃	#117	1	16	yes	—
107	C₂³×C₄₃	C₄×D₄	1	32	yes	—
108	C₂³×C₄₃	C₄×D₄	1	32	yes	—
109	C₂³×C₄₃	C₂³×C₄	1	8	yes	—
110	C₂³×C₄₃	C₂³×C₄	1	8	yes	—
111	C₂³×C₄₃	C₂³×C₄	1	6	yes	—
112	C₂³×C₄₃	C₂³×C₄	1	6	yes	—
113	C₂³×C₄₃	C₂³×C₄	1	8	yes	—
114	C₂³×C₄₃	C₂³×C₄	1	6	yes	—
115	C₂³×C₄₃	C₂²×D₄	1	12	yes	—
116	C₂³×C₄₃	C₂×#41	1	12	yes	—
117	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
118	C₂×C₄×C₄₃	—	2	96	no	—
119	C₂×C₄×C₄₃	—	2	8	no	—
120	C₂×C₄×C₄₃	—	2	8	no	—
121	C₂×C₄×C₄₃	C₂³×C₄	1	16	yes	complemented
122	C₂×Dic₄₃	—	2	48	no	—
123	C₂×Dic₄₃	—	2	96	no	—
124	C₂×Dic₄₃	—	2	8	no	—
125	C₂×Dic₄₃	—	2	8	no	—
126	C₂×Dic₄₃	—	2	8	no	—
127	C₂×Dic₄₃	—	2	128	no	—
128	C₂×Dic₄₃	C₂×C₂²⋊C₄	1	96	yes	direct product factor
129	C₂×Dic₄₃	C₂³×C₄	1	8	yes	—
130	C₂×Dic₄₃	C₂³×C₄	1	8	yes	—
131	C₂×Dic₄₃	C₂³×C₄	1	16	yes	complemented
132	C₂×Dic₄₃	C₂²×D₄	1	16	yes	—
133	C₂²×C₄×C₂²⋊C₄	—	43	1	no	maximal, Sylow
134	C₂²×C₄₃	—	2	8	no	—
135	C₂²×C₄₃	—	2	8	no	—
136	C₂²×C₄₃	—	2	16	no	—
137	C₂²×C₄₃	—	2	16	no	—
138	C₂²×C₄₃	—	2	192	no	—
139	C₂²×C₄₃	C₄×C₂²⋊C₄	1	64	yes	complemented
140	C₂²×C₄₃	C₂²×C₄²	1	12	yes	—
141	C₂²×C₄₃	C₂²×C₄²	1	16	yes	complemented
142	C₂²×C₄₃	C₂²×C₂²⋊C₄	1	12	yes	—
143	C₂²×C₄₃	C₂×#117	1	12	yes	—
144	C₂²×C₄₃	C₂×C₄×D₄	1	24	yes	—
145	C₂²×C₄₃	C₂×C₄×D₄	1	24	yes	—
146	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
147	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
148	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
149	C₂²×C₄₃	C₂³×D₄	1	2	yes	—
150	C₂²×C₄₃	C₂²×#41	1	2	yes	—
151	C₄×C₄₃	—	2	16	no	—
152	Dic₄₃	—	2	8	no	—
153	Dic₄₃	—	2	16	no	—
154	Dic₄₃	C₂²×C₂²⋊C₄	1	16	yes	direct product factor
155	C₂⁵×C₄	—	43	1	no	—
156	C₂³×C₂²⋊C₄	—	43	1	no	—
157	C₂³×C₂²⋊C₄	D₄₃	1	1	yes	characteristic
158	C₂³×C₄²	—	43	2	no	—
159	C₂×C₄×C₂²⋊C₄	—	43	24	no	—
160	C₂²×#95	—	43	2	no	—
161	C₂×C₄₃	—	2	16	no	—
162	C₂×C₄₃	C₂×C₄×C₂²⋊C₄	1	24	yes	complemented
163	C₂×C₄₃	C₂³×C₄²	1	1	yes	characteristic
164	C₂×C₄₃	C₂³×C₂²⋊C₄	1	1	yes	characteristic
165	C₂×C₄₃	C₂²×#117	1	1	yes	characteristic
166	C₂×C₄₃	C₂²×C₄×D₄	1	2	yes	—
167	C₂×C₄₃	C₂²×C₄×D₄	1	2	yes	—
168	C₂⁶	C₂×D₄₃	1	1	yes	characteristic
169	C₂⁴×C₄	—	43	1	no	—
170	C₂⁴×C₄	—	43	12	no	—
171	C₂⁴×C₄	—	43	1	no	—
172	C₂⁴×C₄	—	43	2	no	—
173	C₂⁴×C₄	—	43	16	no	—
174	C₂⁴×C₄	—	86	16	no	—
175	C₂⁴×C₄	C₂×D₄₃	1	2	yes	—
176	C₂²×C₂²⋊C₄	—	43	12	no	—
177	C₂²×C₂²⋊C₄	—	43	16	no	—
178	C₂²×C₂²⋊C₄	Dic₄₃	1	16	yes	direct product factor
179	C₂²×C₂²⋊C₄	C₂×D₄₃	1	12	yes	—
180	C₂²×C₄²	—	43	24	no	—
181	C₂²×C₄²	—	86	16	no	—
182	C₄×C₂²⋊C₄	—	43	64	no	—
183	C₂×#95	—	43	24	no	—
184	C₄₃	C₂²×C₄×C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
185	C₂⁵	—	2	8	no	—
186	C₂⁵	—	2	8	no	—
187	C₂⁵	C₄×D₄₃	1	8	yes	—
188	C₂⁵	C₄×D₄₃	1	8	yes	—
189	C₂⁵	C₂×Dic₄₃	1	8	yes	—
190	C₂⁵	C₂²×D₄₃	1	6	yes	—
191	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
192	C₂³×C₄	—	2	8	no	—
193	C₂³×C₄	—	2	8	no	—
194	C₂³×C₄	—	43	8	no	—
195	C₂³×C₄	—	43	16	no	—
196	C₂³×C₄	—	43	6	no	—
197	C₂³×C₄	—	43	16	no	—
198	C₂³×C₄	—	43	8	no	—
199	C₂³×C₄	—	43	96	no	—
200	C₂³×C₄	—	43	12	no	—
201	C₂³×C₄	—	43	6	no	—
202	C₂³×C₄	—	43	16	no	—
203	C₂³×C₄	—	86	128	no	—
204	C₂³×C₄	—	86	96	no	—
205	C₂³×C₄	—	86	8	no	—
206	C₂³×C₄	—	86	8	no	—
207	C₂³×C₄	—	86	8	no	—
208	C₂³×C₄	C₂×Dic₄₃	1	16	yes	complemented
209	C₂³×C₄	C₂²×D₄₃	1	12	yes	—
210	C₂×C₂²⋊C₄	—	43	96	no	—
211	C₂×C₂²⋊C₄	—	43	16	no	—
212	C₂×C₂²⋊C₄	C₂×Dic₄₃	1	96	yes	direct product factor
213	C₂×C₂²⋊C₄	C₂²×D₄₃	1	16	yes	—
214	C₂×C₄²	—	43	32	no	—
215	C₂×C₄²	—	86	96	no	—
216	#95	—	43	32	no	—
217	C₂⁴	—	2	32	no	—
218	C₂⁴	—	2	32	no	—
219	C₂⁴	—	2	64	no	—
220	C₂⁴	—	2	64	no	—
221	C₂⁴	—	2	24	no	—
222	C₂⁴	—	2	24	no	—
223	C₂⁴	C₄×Dic₄₃	1	64	yes	complemented
224	C₂⁴	C₂×C₄×D₄₃	1	24	yes	—
225	C₂⁴	C₂×C₄×D₄₃	1	24	yes	—
226	C₂⁴	C₂×C₄×D₄₃	1	4	yes	—
227	C₂⁴	C₂×C₄×D₄₃	1	4	yes	—
228	C₂⁴	D₄×D₄₃	1	8	yes	—
229	C₂⁴	#10621900	1	8	yes	—
230	C₂⁴	C₂²×Dic₄₃	1	24	yes	—
231	C₂⁴	C₂²×Dic₄₃	1	4	yes	—
232	C₂⁴	C₂³×D₄₃	1	4	yes	—
233	C₂⁴	C₂³×D₄₃	1	3	yes	—
234	C₂²×C₄	—	2	64	no	—
235	C₂²×C₄	—	2	24	no	—
236	C₂²×C₄	—	2	24	no	—
237	C₂²×C₄	—	43	64	no	—
238	C₂²×C₄	—	43	24	no	—
239	C₂²×C₄	—	43	48	no	—
240	C₂²×C₄	—	43	4	no	—
241	C₂²×C₄	—	43	48	no	—
242	C₂²×C₄	—	43	24	no	—
243	C₂²×C₄	—	43	64	no	—
244	C₂²×C₄	—	43	4	no	—
245	C₂²×C₄	—	43	8	no	—
246	C₂²×C₄	—	86	384	no	—
247	C₂²×C₄	—	86	64	no	—
248	C₂²×C₄	—	86	32	no	—
249	C₂²×C₄	—	86	64	no	—
250	C₂²×C₄	—	86	24	no	—
251	C₂²×C₄	—	86	24	no	—
252	C₂²×C₄	—	86	24	no	—
253	C₂²×C₄	C₂²×Dic₄₃	1	48	yes	complemented
254	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
255	C₂²⋊C₄	—	43	64	no	—
256	C₂²⋊C₄	C₂²×Dic₄₃	1	64	yes	direct product factor
257	C₄²	—	86	64	no	—
258	C₂³	—	2	48	no	—
259	C₂³	—	2	48	no	—
260	C₂³	—	2	96	no	—
261	C₂³	—	2	96	no	—
262	C₂³	—	2	8	no	—
263	C₂³	—	2	8	no	—
264	C₂³	—	2	256	no	—
265	C₂³	C₂×C₄×Dic₄₃	1	16	yes	—
266	C₂³	C₂×C₄×Dic₄₃	1	96	yes	complemented
267	C₂³	C₂²⋊C₄×D₄₃	1	16	yes	—
268	C₂³	#13063281	1	16	yes	—
269	C₂³	(C₂²⋊D₄₃)⋊C₄	1	32	yes	—
270	C₂³	D₄×Dic₄₃	1	32	yes	—
271	C₂³	C₂²×C₄×D₄₃	1	8	yes	—
272	C₂³	C₂²×C₄×D₄₃	1	8	yes	—
273	C₂³	C₂²×C₄×D₄₃	1	6	yes	—
274	C₂³	C₂²×C₄×D₄₃	1	6	yes	—
275	C₂³	C₂³×Dic₄₃	1	8	yes	—
276	C₂³	C₂³×Dic₄₃	1	6	yes	—
277	C₂³	C₂×D₄×D₄₃	1	12	yes	—
278	C₂³	C₂×#10621900	1	12	yes	—
279	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
280	C₂×C₄	—	2	96	no	—
281	C₂×C₄	—	2	8	no	—
282	C₂×C₄	—	2	8	no	—
283	C₂×C₄	—	43	96	no	—
284	C₂×C₄	—	43	8	no	—
285	C₂×C₄	—	43	16	no	—
286	C₂×C₄	—	43	16	no	—
287	C₂×C₄	—	43	8	no	—
288	C₂×C₄	—	86	128	no	—
289	C₂×C₄	—	86	48	no	—
290	C₂×C₄	—	86	96	no	—
291	C₂×C₄	—	86	8	no	—
292	C₂×C₄	—	86	8	no	—
293	C₂×C₄	—	86	8	no	—
294	C₂×C₄	C₂³×Dic₄₃	1	16	yes	complemented
295	C₂²	—	2	192	no	—
296	C₂²	—	2	8	no	—
297	C₂²	—	2	8	no	—
298	C₂²	—	2	16	no	—
299	C₂²	—	2	16	no	—
300	C₂²	C₂²⋊C₄×Dic₄₃	1	64	yes	direct product factor
301	C₂²	C₂²×C₄×Dic₄₃	1	12	yes	—
302	C₂²	C₂²×C₄×Dic₄₃	1	16	yes	complemented
303	C₂²	C₂×C₂²⋊C₄×D₄₃	1	12	yes	—
304	C₂²	C₂×#13063281	1	12	yes	—
305	C₂²	C₂×(C₂²⋊D₄₃)⋊C₄	1	24	yes	—
306	C₂²	C₂×D₄×Dic₄₃	1	24	yes	—
307	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
308	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
309	C₂²	C₂⁴×Dic₄₃	1	1	yes	characteristic
310	C₂²	C₂²×D₄×D₄₃	1	2	yes	—
311	C₂²	C₂²×#10621900	1	2	yes	—
312	C₄	—	2	16	no	—
313	C₄	—	43	16	no	—
314	C₄	—	86	8	no	—
315	C₄	—	86	16	no	—
316	C₂	—	2	16	no	—
317	C₂	C₂×C₂²⋊C₄×Dic₄₃	1	24	yes	direct product factor
318	C₂	C₂³×C₄×Dic₄₃	1	1	yes	characteristic
319	C₂	C₂²×C₂²⋊C₄×D₄₃	1	1	yes	characteristic
320	C₂	C₂²×#13063281	1	1	yes	characteristic
321	C₂	C₂²×(C₂²⋊D₄₃)⋊C₄	1	2	yes	—
322	C₂	C₂²×D₄×Dic₄₃	1	2	yes	—

	subgroup	G/H
center	C₂⁵	C₂²×D₄₃
commutator	C₂×C₄₃	C₂³×C₄²
Frattini	C₂³	C₂⁴×D₄₃
Fitting	C₂³×C₂²⋊C₄×C₄₃	C₂
socle	C₂⁵×C₄₃	C₂³
prime radical	C₂⁶×C₄₃	C₂²
cosocle	C₂³×C₄₃	C₂⁵
hypercenter	C₂³×C₂²⋊C₄	D₄₃
hypocenter	C₄₃	C₂²×C₄×C₂²⋊C₄
LCS	G ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂⁵ ◁ C₂³×C₂²⋊C₄

Complements

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

N	H ≅ G/N	type
3. C₂³×C₄×Dic₄₃	C₂	semidirect
4. C₂×C₂²⋊C₄×Dic₄₃	C₂	direct (N × H)
5. C₂²×C₄₃⋊#95	C₂	semidirect
8. C₂⁴×Dic₄₃	C₄	semidirect
13. C₂²×C₂²⋊Dic₄₃	C₄	semidirect
16. C₂²×C₄×Dic₄₃	C₂²	semidirect
17. C₂²⋊C₄×Dic₄₃	C₂²	direct (N × H)
18. C₂×C₄₃⋊#95	C₂²	semidirect
21. C₂²×C₂²⋊C₄×C₄₃	C₄	semidirect
30. C₂³×Dic₄₃	C₂×C₄	semidirect
31. C₂³×Dic₄₃	C₂×C₄	semidirect
37. C₂×C₂²⋊Dic₄₃	C₂×C₄	semidirect
40. C₂×C₄×Dic₄₃	C₂³	semidirect
41. C₄₃⋊#95	C₂³	semidirect
51. C₂³×C₄×C₄₃	C₂×C₄	semidirect
53. C₂×C₂²⋊C₄×C₄₃	C₂×C₄	semidirect
61. C₂⁴×C₄₃	C₄²	semidirect
75. C₂²×C₄×C₄₃	C₂²×C₄	semidirect
84. C₂²×Dic₄₃	C₂²⋊C₄	direct (N × H)
87. C₂²×Dic₄₃	C₂²×C₄	semidirect
88. C₂²×Dic₄₃	C₂²×C₄	semidirect
93. C₂²⋊C₄×C₄₃	C₂²×C₄	semidirect
94. C₂²⋊Dic₄₃	C₂²×C₄	semidirect
104. C₂³×C₄₃	C₂×C₄²	semidirect
121. C₂×C₄×C₄₃	C₂³×C₄	semidirect
128. C₂×Dic₄₃	C₂×C₂²⋊C₄	direct (N × H)
131. C₂×Dic₄₃	C₂³×C₄	semidirect
139. C₂²×C₄₃	C₄×C₂²⋊C₄	semidirect
141. C₂²×C₄₃	C₂²×C₄²	semidirect
154. Dic₄₃	C₂²×C₂²⋊C₄	direct (N × H)
162. C₂×C₄₃	C₂×C₄×C₂²⋊C₄	semidirect
178. C₂²×C₂²⋊C₄	Dic₄₃	direct (N × H)
184. C₄₃	C₂²×C₄×C₂²⋊C₄	semidirect
208. C₂³×C₄	C₂×Dic₄₃	semidirect
212. C₂×C₂²⋊C₄	C₂×Dic₄₃	direct (N × H)
223. C₂⁴	C₄×Dic₄₃	semidirect
253. C₂²×C₄	C₂²×Dic₄₃	semidirect
256. C₂²⋊C₄	C₂²×Dic₄₃	direct (N × H)
266. C₂³	C₂×C₄×Dic₄₃	semidirect
294. C₂×C₄	C₂³×Dic₄₃	semidirect
300. C₂²	C₂²⋊C₄×Dic₄₃	direct (N × H)
302. C₂²	C₂²×C₄×Dic₄₃	semidirect
317. C₂	C₂×C₂²⋊C₄×Dic₄₃	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁵×Dic₄₃	2
C₂³×C₂²⋊Dic₄₃	2
C₂³×C₄×Dic₄₃	2
C₂×C₂²⋊C₄×Dic₄₃	2
C₂²×C₄₃⋊#95	2
C₂³×C₂²⋊C₄×C₄₃	2
C₂²×C₄×C₂²⋊C₄	43

Subgroups — C22×C22⋊C4×Dic43 #25254772

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₂²⋊C₄×Dic₄₃ #25254772