Subgroups — C₄₃×#10846 #24930863

Order 11008.

1338 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#380	C₂	1	2	yes	maximal
2	C₂×C₄×C₂²⋊C₄×C₄₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄₃×#342	C₂	1	4	yes	maximal
4	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
5	C₂²×C₄⋊C₄×C₄₃	—	2	2	no	—
6	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	4	yes	—
7	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	—
8	C₂²×C₄²×C₄₃	C₄	1	2	yes	complemented
9	C₄₃×#380	—	2	4	no	—
10	C₄₃×#380	C₄	1	8	yes	complemented
11	C₄×C₂²⋊C₄×C₄₃	—	2	2	no	—
12	C₄×C₂²⋊C₄×C₄₃	—	2	2	no	—
13	C₂×#95×C₄₃	—	2	2	no	—
14	C₂×#95×C₄₃	C₄	1	2	yes	complemented
15	C₄₃×#342	—	2	8	no	—
16	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
17	C₂³×C₄×C₄₃	—	2	4	no	—
18	C₂³×C₄×C₄₃	—	4	4	no	—
19	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
20	C₂³×C₄×C₄₃	C₂×C₄	1	4	yes	—
21	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
22	C₂³×C₄×C₄₃	C₂×C₄	1	4	yes	—
23	C₂³×C₄×C₄₃	D₄	1	2	yes	—
24	C₂³×C₄×C₄₃	D₄	1	2	yes	—
25	C₂³×C₄×C₄₃	D₄	1	2	yes	—
26	C₂³×C₄×C₄₃	Q₈	1	2	yes	—
27	C₂×C₄⋊C₄×C₄₃	—	2	8	no	—
28	C₂×C₄⋊C₄×C₄₃	—	4	8	no	—
29	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
30	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
31	C₂×C₂²⋊C₄×C₄₃	—	2	8	no	—
32	C₂×C₂²⋊C₄×C₄₃	—	2	8	no	—
33	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
34	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	8	yes	—
35	C₂×C₂²⋊C₄×C₄₃	D₄	1	4	yes	—
36	C₂×C₂²⋊C₄×C₄₃	Q₈	1	4	yes	—
37	C₂×C₄²×C₄₃	—	2	2	no	—
38	C₂×C₄²×C₄₃	—	2	2	no	—
39	C₂×C₄²×C₄₃	—	4	4	no	—
40	#95×C₄₃	—	2	8	no	—
41	#95×C₄₃	—	2	4	no	—
42	C₂⁴×C₄₃	—	4	2	no	—
43	C₂⁴×C₄₃	—	4	2	no	—
44	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
45	C₂⁴×C₄₃	C₂²×C₄	1	2	yes	—
46	C₂⁴×C₄₃	C₂×D₄	1	2	yes	—
47	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
48	C₂⁴×C₄₃	C₂×D₄	1	2	yes	—
49	C₂⁴×C₄₃	C₂×Q₈	1	1	yes	characteristic
50	C₂⁴×C₄₃	C₂×Q₈	1	2	yes	—
51	C₂⁴×C₄₃	#41	1	4	yes	—
52	C₂²×C₄×C₄₃	—	2	4	no	—
53	C₂²×C₄×C₄₃	—	2	8	no	—
54	C₂²×C₄×C₄₃	—	2	8	no	—
55	C₂²×C₄×C₄₃	—	2	4	no	—
56	C₂²×C₄×C₄₃	—	2	4	no	—
57	C₂²×C₄×C₄₃	—	4	2	no	—
58	C₂²×C₄×C₄₃	—	4	4	no	—
59	C₂²×C₄×C₄₃	—	4	4	no	—
60	C₂²×C₄×C₄₃	—	4	4	no	—
61	C₂²×C₄×C₄₃	—	4	8	no	—
62	C₂²×C₄×C₄₃	—	4	8	no	—
63	C₂²×C₄×C₄₃	—	4	8	no	—
64	C₂²×C₄×C₄₃	—	4	4	no	—
65	C₂²×C₄×C₄₃	—	4	4	no	—
66	C₂²×C₄×C₄₃	—	4	8	no	—
67	C₂²×C₄×C₄₃	C₄²	1	2	yes	—
68	C₂²×C₄×C₄₃	C₄²	1	2	yes	—
69	C₂²×C₄×C₄₃	C₂²⋊C₄	1	4	yes	—
70	C₂²×C₄×C₄₃	C₂²⋊C₄	1	4	yes	—
71	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
72	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
74	C₂²×C₄×C₄₃	C₄⋊C₄	1	2	yes	—
75	C₂²×C₄×C₄₃	C₄⋊C₄	1	4	yes	—
76	C₂²×C₄×C₄₃	C₄⋊C₄	1	2	yes	—
77	C₂²×C₄×C₄₃	C₄⋊C₄	1	4	yes	—
78	C₂²×C₄×C₄₃	C₄⋊C₄	1	8	yes	complemented
79	C₄⋊C₄×C₄₃	—	4	16	no	—
80	C₂²⋊C₄×C₄₃	—	2	16	no	—
81	C₂²⋊C₄×C₄₃	—	2	8	no	—
82	C₂²⋊C₄×C₄₃	—	2	8	no	—
83	C₂²⋊C₄×C₄₃	—	4	4	no	—
84	C₂²⋊C₄×C₄₃	—	4	4	no	—
85	C₄²×C₄₃	—	4	4	no	—
86	C₄²×C₄₃	—	4	4	no	—
87	C₂³×C₄₃	—	2	2	no	—
88	C₂³×C₄₃	—	2	4	no	—
89	C₂³×C₄₃	—	2	2	no	—
90	C₂³×C₄₃	—	2	4	no	—
91	C₂³×C₄₃	—	4	2	no	—
92	C₂³×C₄₃	—	4	1	no	—
93	C₂³×C₄₃	—	4	1	no	—
94	C₂³×C₄₃	—	4	2	no	—
95	C₂³×C₄₃	—	4	4	no	—
96	C₂³×C₄₃	—	4	1	no	—
97	C₂³×C₄₃	—	4	4	no	—
98	C₂³×C₄₃	—	4	1	no	—
99	C₂³×C₄₃	—	4	8	no	—
100	C₂³×C₄₃	C₂×C₄²	1	1	yes	characteristic
101	C₂³×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
102	C₂³×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
103	C₂³×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
104	C₂³×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
105	C₂³×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
106	C₂³×C₄₃	#117	1	2	yes	—
107	C₂³×C₄₃	C₄×D₄	1	4	yes	—
108	C₂³×C₄₃	C₄×Q₈	1	4	yes	—
109	C₂³×C₄₃	#121	1	4	yes	—
110	C₂³×C₄₃	C₂²⋊Q₈	1	4	yes	—
111	C₂³×C₄₃	#124	1	2	yes	—
112	C₂³×C₄₃	#125	1	2	yes	—
113	C₂³×C₄₃	#127	1	1	yes	characteristic
114	C₂³×C₄₃	C₄⋊Q₈	1	2	yes	—
115	C₂³×C₄₃	C₄⋊Q₈	1	1	yes	characteristic
116	C₂×C₄×C₄₃	—	2	2	no	—
117	C₂×C₄×C₄₃	—	2	4	no	—
118	C₂×C₄×C₄₃	—	2	8	no	—
119	C₂×C₄×C₄₃	—	2	4	no	—
120	C₂×C₄×C₄₃	—	2	4	no	—
121	C₂×C₄×C₄₃	—	2	8	no	—
122	C₂×C₄×C₄₃	—	2	8	no	—
123	C₂×C₄×C₄₃	—	4	2	no	—
124	C₂×C₄×C₄₃	—	4	4	no	—
125	C₂×C₄×C₄₃	—	4	2	no	—
126	C₂×C₄×C₄₃	—	4	4	no	—
127	C₂×C₄×C₄₃	—	4	8	no	—
128	C₂×C₄×C₄₃	—	4	4	no	—
129	C₂×C₄×C₄₃	—	4	4	no	—
130	C₂×C₄×C₄₃	—	4	8	no	—
131	C₂×C₄×C₄₃	—	4	8	no	—
132	C₂×C₄×C₄₃	—	4	8	no	—
133	C₂×C₄×C₄₃	—	4	8	no	—
134	C₂×C₄×C₄₃	—	8	16	no	—
135	C₂×C₄×C₄₃	#95	1	2	yes	—
136	C₂×C₄×C₄₃	#95	1	4	yes	—
137	C₂×C₄×C₄₃	#95	1	2	yes	—
138	C₂×C₄×C₄₃	#99	1	4	yes	—
139	#10846	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
140	C₂²×C₄₃	—	2	4	no	—
141	C₂²×C₄₃	—	2	4	no	—
142	C₂²×C₄₃	—	2	8	no	—
143	C₂²×C₄₃	—	2	8	no	—
144	C₂²×C₄₃	—	2	1	no	—
145	C₂²×C₄₃	—	2	2	no	—
146	C₂²×C₄₃	—	2	1	no	—
147	C₂²×C₄₃	—	2	2	no	—
148	C₂²×C₄₃	—	2	1	no	—
149	C₂²×C₄₃	—	2	2	no	—
150	C₂²×C₄₃	—	2	1	no	—
151	C₂²×C₄₃	—	2	2	no	—
152	C₂²×C₄₃	—	4	4	no	—
153	C₂²×C₄₃	—	4	4	no	—
154	C₂²×C₄₃	—	4	2	no	—
155	C₂²×C₄₃	—	4	2	no	—
156	C₂²×C₄₃	—	4	1	no	—
157	C₂²×C₄₃	—	4	2	no	—
158	C₂²×C₄₃	—	4	1	no	—
159	C₂²×C₄₃	C₂×#95	1	1	yes	characteristic
160	C₂²×C₄₃	C₄×C₄⋊C₄	1	2	yes	—
161	C₂²×C₄₃	#380	1	2	yes	—
162	C₂²×C₄₃	#382	1	1	yes	characteristic
163	C₂²×C₄₃	#384	1	1	yes	characteristic
164	C₂²×C₄₃	#389	1	4	yes	—
165	C₂²×C₄₃	#390	1	2	yes	—
166	C₂²×C₄₃	#391	1	2	yes	—
167	C₂²×C₄₃	C₂×#99	1	2	yes	—
168	C₂²×C₄₃	#410	1	2	yes	—
169	C₄×C₄₃	—	2	2	no	—
170	C₄×C₄₃	—	2	4	no	—
171	C₄×C₄₃	—	4	8	no	—
172	C₄×C₄₃	—	8	8	no	—
173	C₄×C₄₃	#342	1	4	yes	complemented
174	C₂×#380	C₂×C₄₃	1	2	yes	—
175	C₂×C₄×C₂²⋊C₄	C₂×C₄₃	1	1	yes	characteristic
176	C₂×#342	C₂×C₄₃	1	4	yes	—
177	C₂×C₄₃	—	2	2	no	—
178	C₂×C₄₃	—	2	2	no	—
179	C₂×C₄₃	—	2	1	no	—
180	C₂×C₄₃	—	2	1	no	—
181	C₂×C₄₃	—	2	4	no	—
182	C₂×C₄₃	—	2	2	no	—
183	C₂×C₄₃	C₄⋊#95	1	1	yes	characteristic
184	C₂×C₄₃	C₂×#342	1	1	yes	characteristic
185	C₂×C₄₃	#1740	1	1	yes	characteristic
186	C₂×C₄₃	#1799	1	4	yes	—
187	C₂⁴×C₄	C₂²×C₄₃	1	1	yes	characteristic
188	C₂²×C₄⋊C₄	—	2	2	no	—
189	C₂²×C₂²⋊C₄	C₂²×C₄₃	1	4	yes	—
190	C₂²×C₂²⋊C₄	C₂²×C₄₃	1	2	yes	—
191	C₂²×C₄²	C₄×C₄₃	1	2	yes	complemented
192	#380	—	2	4	no	—
193	#380	C₄×C₄₃	1	8	yes	complemented
194	C₄×C₂²⋊C₄	—	2	2	no	—
195	C₄×C₂²⋊C₄	—	2	2	no	—
196	C₂×#95	—	2	2	no	—
197	C₂×#95	C₄×C₄₃	1	2	yes	complemented
198	#342	—	2	8	no	—
199	C₄₃	#10846	1	1	yes	characteristic, direct product factor, Sylow
200	C₂⁵	C₂³×C₄₃	1	1	yes	characteristic
201	C₂³×C₄	—	2	4	no	—
202	C₂³×C₄	—	4	4	no	—
203	C₂³×C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
204	C₂³×C₄	C₂×C₄×C₄₃	1	4	yes	—
205	C₂³×C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
206	C₂³×C₄	C₂×C₄×C₄₃	1	4	yes	—
207	C₂³×C₄	D₄×C₄₃	1	2	yes	—
208	C₂³×C₄	D₄×C₄₃	1	2	yes	—
209	C₂³×C₄	D₄×C₄₃	1	2	yes	—
210	C₂³×C₄	Q₈×C₄₃	1	2	yes	—
211	C₂×C₄⋊C₄	—	2	8	no	—
212	C₂×C₄⋊C₄	—	4	8	no	—
213	C₂×C₂²⋊C₄	—	2	4	no	—
214	C₂×C₂²⋊C₄	—	2	4	no	—
215	C₂×C₂²⋊C₄	—	2	8	no	—
216	C₂×C₂²⋊C₄	—	2	8	no	—
217	C₂×C₂²⋊C₄	—	2	4	no	—
218	C₂×C₂²⋊C₄	C₂×C₄×C₄₃	1	8	yes	—
219	C₂×C₂²⋊C₄	D₄×C₄₃	1	4	yes	—
220	C₂×C₂²⋊C₄	Q₈×C₄₃	1	4	yes	—
221	C₂×C₄²	—	2	2	no	—
222	C₂×C₄²	—	2	2	no	—
223	C₂×C₄²	—	4	4	no	—
224	#95	—	2	8	no	—
225	#95	—	2	4	no	—
226	C₂⁴	—	4	2	no	—
227	C₂⁴	—	4	2	no	—
228	C₂⁴	C₂²×C₄×C₄₃	1	1	yes	characteristic
229	C₂⁴	C₂²×C₄×C₄₃	1	2	yes	—
230	C₂⁴	C₂×D₄×C₄₃	1	2	yes	—
231	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
232	C₂⁴	C₂×D₄×C₄₃	1	2	yes	—
233	C₂⁴	C₂×Q₈×C₄₃	1	1	yes	characteristic
234	C₂⁴	C₂×Q₈×C₄₃	1	2	yes	—
235	C₂⁴	#41×C₄₃	1	4	yes	—
236	C₂²×C₄	—	2	4	no	—
237	C₂²×C₄	—	2	8	no	—
238	C₂²×C₄	—	2	4	no	—
239	C₂²×C₄	—	2	4	no	—
240	C₂²×C₄	—	2	8	no	—
241	C₂²×C₄	—	4	8	no	—
242	C₂²×C₄	—	4	4	no	—
243	C₂²×C₄	—	4	4	no	—
244	C₂²×C₄	—	4	2	no	—
245	C₂²×C₄	—	4	4	no	—
246	C₂²×C₄	—	4	4	no	—
247	C₂²×C₄	—	4	4	no	—
248	C₂²×C₄	—	4	8	no	—
249	C₂²×C₄	—	4	8	no	—
250	C₂²×C₄	—	4	8	no	—
251	C₂²×C₄	C₄²×C₄₃	1	2	yes	—
252	C₂²×C₄	C₄²×C₄₃	1	2	yes	—
253	C₂²×C₄	C₂²⋊C₄×C₄₃	1	2	yes	—
254	C₂²×C₄	C₂²⋊C₄×C₄₃	1	1	yes	characteristic
255	C₂²×C₄	C₂²⋊C₄×C₄₃	1	4	yes	—
256	C₂²×C₄	C₂²⋊C₄×C₄₃	1	4	yes	—
257	C₂²×C₄	C₂²⋊C₄×C₄₃	1	1	yes	characteristic
258	C₂²×C₄	C₄⋊C₄×C₄₃	1	2	yes	—
259	C₂²×C₄	C₄⋊C₄×C₄₃	1	4	yes	—
260	C₂²×C₄	C₄⋊C₄×C₄₃	1	2	yes	—
261	C₂²×C₄	C₄⋊C₄×C₄₃	1	4	yes	—
262	C₂²×C₄	C₄⋊C₄×C₄₃	1	8	yes	complemented
263	C₄⋊C₄	—	4	16	no	—
264	C₂²⋊C₄	—	2	8	no	—
265	C₂²⋊C₄	—	2	8	no	—
266	C₂²⋊C₄	—	2	16	no	—
267	C₂²⋊C₄	—	4	4	no	—
268	C₂²⋊C₄	—	4	4	no	—
269	C₄²	—	4	4	no	—
270	C₄²	—	4	4	no	—
271	C₂³	—	2	2	no	—
272	C₂³	—	2	4	no	—
273	C₂³	—	2	2	no	—
274	C₂³	—	2	4	no	—
275	C₂³	—	4	2	no	—
276	C₂³	—	4	1	no	—
277	C₂³	—	4	1	no	—
278	C₂³	—	4	2	no	—
279	C₂³	—	4	1	no	—
280	C₂³	—	4	4	no	—
281	C₂³	—	4	1	no	—
282	C₂³	—	4	4	no	—
283	C₂³	—	4	8	no	—
284	C₂³	C₂×C₄²×C₄₃	1	1	yes	characteristic
285	C₂³	C₂×C₂²⋊C₄×C₄₃	1	2	yes	—
286	C₂³	C₂×C₂²⋊C₄×C₄₃	1	1	yes	characteristic
287	C₂³	C₂×C₄⋊C₄×C₄₃	1	1	yes	characteristic
288	C₂³	C₂×C₄⋊C₄×C₄₃	1	2	yes	—
289	C₂³	C₂×C₄⋊C₄×C₄₃	1	2	yes	—
290	C₂³	#117×C₄₃	1	2	yes	—
291	C₂³	C₄×D₄×C₄₃	1	4	yes	—
292	C₂³	C₄×Q₈×C₄₃	1	4	yes	—
293	C₂³	#121×C₄₃	1	4	yes	—
294	C₂³	C₂²⋊Q₈×C₄₃	1	4	yes	—
295	C₂³	#124×C₄₃	1	2	yes	—
296	C₂³	#125×C₄₃	1	2	yes	—
297	C₂³	#127×C₄₃	1	1	yes	characteristic
298	C₂³	C₄⋊Q₈×C₄₃	1	2	yes	—
299	C₂³	C₄⋊Q₈×C₄₃	1	1	yes	characteristic
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	8	no	—
303	C₂×C₄	—	2	4	no	—
304	C₂×C₄	—	2	4	no	—
305	C₂×C₄	—	2	8	no	—
306	C₂×C₄	—	2	8	no	—
307	C₂×C₄	—	4	2	no	—
308	C₂×C₄	—	4	4	no	—
309	C₂×C₄	—	4	4	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	4	8	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	4	4	no	—
314	C₂×C₄	—	4	8	no	—
315	C₂×C₄	—	4	8	no	—
316	C₂×C₄	—	4	8	no	—
317	C₂×C₄	—	4	8	no	—
318	C₂×C₄	—	8	16	no	—
319	C₂×C₄	#95×C₄₃	1	2	yes	—
320	C₂×C₄	#95×C₄₃	1	4	yes	—
321	C₂×C₄	#95×C₄₃	1	2	yes	—
322	C₂×C₄	#99×C₄₃	1	4	yes	—
323	C₂²	—	2	2	no	—
324	C₂²	—	2	1	no	—
325	C₂²	—	2	1	no	—
326	C₂²	—	2	2	no	—
327	C₂²	—	2	2	no	—
328	C₂²	—	2	1	no	—
329	C₂²	—	2	1	no	—
330	C₂²	—	2	2	no	—
331	C₂²	—	2	4	no	—
332	C₂²	—	2	4	no	—
333	C₂²	—	2	8	no	—
334	C₂²	—	2	8	no	—
335	C₂²	—	4	4	no	—
336	C₂²	—	4	4	no	—
337	C₂²	—	4	2	no	—
338	C₂²	—	4	2	no	—
339	C₂²	—	4	1	no	—
340	C₂²	—	4	2	no	—
341	C₂²	—	4	1	no	—
342	C₂²	C₂×#95×C₄₃	1	1	yes	characteristic
343	C₂²	C₄×C₄⋊C₄×C₄₃	1	2	yes	—
344	C₂²	C₄₃×#380	1	2	yes	—
345	C₂²	C₄₃×#382	1	1	yes	characteristic
346	C₂²	C₄₃×#384	1	1	yes	characteristic
347	C₂²	C₄₃×#389	1	4	yes	—
348	C₂²	C₄₃×#390	1	2	yes	—
349	C₂²	C₄₃×#391	1	2	yes	—
350	C₂²	C₂×#99×C₄₃	1	2	yes	—
351	C₂²	C₄₃×#410	1	2	yes	—
352	C₄	—	2	2	no	—
353	C₄	—	2	4	no	—
354	C₄	—	4	8	no	—
355	C₄	—	8	8	no	—
356	C₄	C₄₃×#342	1	4	yes	complemented
357	C₂	—	2	2	no	—
358	C₂	—	2	2	no	—
359	C₂	—	2	1	no	—
360	C₂	—	2	1	no	—
361	C₂	—	2	4	no	—
362	C₂	—	2	2	no	—
363	C₂	C₄₃×C₄⋊#95	1	1	yes	characteristic
364	C₂	C₂×C₄₃×#342	1	1	yes	characteristic
365	C₂	C₄₃×#1740	1	1	yes	characteristic
366	C₂	C₄₃×#1799	1	4	yes	—

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

Complements

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

N	H ≅ G/N	type
8. C₂²×C₄²×C₄₃	C₄	semidirect
10. C₄₃×#380	C₄	semidirect
14. C₂×#95×C₄₃	C₄	semidirect
78. C₂²×C₄×C₄₃	C₄⋊C₄	semidirect
139. #10846	C₄₃	direct (N × H)
173. C₄×C₄₃	#342	semidirect
191. C₂²×C₄²	C₄×C₄₃	semidirect
193. #380	C₄×C₄₃	semidirect
197. C₂×#95	C₄×C₄₃	semidirect
199. C₄₃	#10846	direct (N × H)
262. C₂²×C₄	C₄⋊C₄×C₄₃	semidirect
356. C₄	C₄₃×#342	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₃×#380	2
C₂×C₄×C₂²⋊C₄×C₄₃	2
C₂×C₄₃×#342	2
#10846	43

Subgroups — C43×#10846 #24930863

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#10846 #24930863