Subgroups — C₄₃×#29929 #24949946

Order 11008.

768 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×#2619	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#2314	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₃×#2092	C₂	1	2	yes	maximal, complemented
4	C₄₃×#2071	C₂	1	2	yes	maximal, complemented
5	C₄₃×#2034	C₂	1	2	yes	maximal, complemented
6	C₄₃×#2033	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1982	C₂	1	2	yes	maximal, complemented
8	C₄₃×#1949	C₂	1	2	yes	maximal, complemented
9	C₄₃×#1798	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
11	C₂×#121×C₄₃	C₂²	1	2	yes	—
12	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
13	C₂×#107×C₄₃	C₂²	1	2	yes	—
14	C₂×#106×C₄₃	C₂²	1	2	yes	—
15	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
16	C₂×#102×C₄₃	C₂²	1	2	yes	—
17	C₂×#102×C₄₃	C₂²	1	2	yes	—
18	C₂×#102×C₄₃	C₂²	1	2	yes	—
19	C₂×#102×C₄₃	C₂²	1	2	yes	—
20	C₂×C₂²⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
21	C₂×C₂²⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
22	C₄₃×#394	—	2	2	no	—
23	C₄₃×#392	—	2	2	no	—
24	C₄₃×#390	C₂²	1	2	yes	—
25	C₄₃×#388	—	2	2	no	—
26	C₄₃×#387	—	2	2	no	—
27	C₄₃×#384	C₂²	1	1	yes	characteristic
28	C₄₃×#382	C₂²	1	1	yes	characteristic
29	C₄₃×#382	C₂²	1	1	yes	characteristic
30	C₄₃×#380	C₂²	1	2	yes	—
31	C₄×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
32	C₄₃×#340	C₂²	1	2	yes	—
33	C₄₃×#340	C₂²	1	2	yes	—
34	C₄₃×#336	C₂²	1	2	yes	—
35	C₂²×D₄×C₄₃	—	2	2	no	—
36	C₂²×D₄×C₄₃	—	2	2	no	—
37	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
38	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
39	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
40	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
41	#127×C₄₃	—	2	4	no	—
42	#121×C₄₃	—	4	2	no	—
43	#121×C₄₃	—	4	2	no	—
44	#117×C₄₃	—	2	4	no	—
45	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
46	C₂×C₄⋊C₄×C₄₃	D₄	1	2	yes	—
47	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
48	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
49	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
50	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
51	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
52	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
53	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
54	C₂×C₂²⋊C₄×C₄₃	D₄	1	2	yes	—
55	C₂×C₄²×C₄₃	—	2	2	no	—
56	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
57	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
58	#107×C₄₃	—	4	2	no	—
59	#106×C₄₃	—	4	2	no	—
60	C₄⋊C₈×C₄₃	—	2	4	no	—
61	#102×C₄₃	—	4	2	no	—
62	#102×C₄₃	—	4	2	no	—
63	#102×C₄₃	—	4	2	no	—
64	#102×C₄₃	—	4	2	no	—
65	C₂²⋊C₈×C₄₃	—	4	1	no	—
66	C₂²⋊C₈×C₄₃	—	4	1	no	—
67	#95×C₄₃	—	2	2	no	—
68	#95×C₄₃	—	2	2	no	—
69	#95×C₄₃	—	2	2	no	—
70	#95×C₄₃	—	2	2	no	—
71	C₂⁴×C₄₃	—	2	2	no	—
72	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
73	C₂×D₄×C₄₃	—	2	2	no	—
74	C₂×D₄×C₄₃	—	2	2	no	—
75	C₂×D₄×C₄₃	—	2	2	no	—
76	C₂×D₄×C₄₃	—	2	2	no	—
77	C₂×D₄×C₄₃	—	2	2	no	—
78	C₂×D₄×C₄₃	—	2	2	no	—
79	C₂×D₄×C₄₃	—	4	4	no	—
80	C₂×D₄×C₄₃	—	4	4	no	—
81	C₂×D₄×C₄₃	—	8	2	no	—
82	C₂×D₄×C₄₃	—	8	2	no	—
83	C₂×D₄×C₄₃	—	8	2	no	—
84	C₂×D₄×C₄₃	—	8	2	no	—
85	C₂²×C₄×C₄₃	—	2	2	no	—
86	C₂²×C₄×C₄₃	—	2	1	no	—
87	C₂²×C₄×C₄₃	—	2	2	no	—
88	C₂²×C₄×C₄₃	—	2	1	no	—
89	C₂²×C₄×C₄₃	—	2	2	no	—
90	C₂²×C₄×C₄₃	—	2	2	no	—
91	C₂²×C₄×C₄₃	—	2	2	no	—
92	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
96	C₂×C₈×C₄₃	—	2	2	no	—
97	C₂×C₈×C₄₃	—	2	2	no	—
98	C₂×C₈×C₄₃	—	2	2	no	—
99	C₂×C₈×C₄₃	—	2	2	no	—
100	C₂×C₈×C₄₃	—	2	2	no	—
101	C₂×C₈×C₄₃	—	2	2	no	—
102	C₄⋊C₄×C₄₃	—	2	4	no	—
103	C₄⋊C₄×C₄₃	—	2	2	no	—
104	C₄⋊C₄×C₄₃	—	2	2	no	—
105	C₄⋊C₄×C₄₃	—	2	2	no	—
106	C₄⋊C₄×C₄₃	—	2	2	no	—
107	C₄⋊C₄×C₄₃	—	2	2	no	—
108	C₄⋊C₄×C₄₃	—	2	2	no	—
109	C₄⋊C₄×C₄₃	—	8	2	no	—
110	C₂²⋊C₄×C₄₃	—	2	4	no	—
111	C₂²⋊C₄×C₄₃	—	4	4	no	—
112	C₂²⋊C₄×C₄₃	—	8	2	no	—
113	C₂²⋊C₄×C₄₃	—	8	2	no	—
114	C₂²⋊C₄×C₄₃	—	8	2	no	—
115	C₄²×C₄₃	—	2	2	no	—
116	C₄²×C₄₃	—	8	2	no	—
117	C₄²×C₄₃	#41	1	4	yes	—
118	C₂³×C₄₃	—	2	1	no	—
119	C₂³×C₄₃	—	2	1	no	—
120	C₂³×C₄₃	—	2	1	no	—
121	C₂³×C₄₃	—	2	2	no	—
122	C₂³×C₄₃	—	2	2	no	—
123	C₂³×C₄₃	—	4	2	no	—
124	C₂³×C₄₃	—	4	2	no	—
125	C₂³×C₄₃	—	4	2	no	—
126	C₂³×C₄₃	—	4	2	no	—
127	C₂³×C₄₃	—	4	2	no	—
128	C₂³×C₄₃	—	4	2	no	—
129	C₂³×C₄₃	—	4	2	no	—
130	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
131	D₄×C₄₃	—	4	2	no	—
132	D₄×C₄₃	—	4	2	no	—
133	D₄×C₄₃	—	4	2	no	—
134	D₄×C₄₃	—	4	2	no	—
135	D₄×C₄₃	—	8	8	no	—
136	D₄×C₄₃	—	8	8	no	—
137	C₂×C₄×C₄₃	—	2	2	no	—
138	C₂×C₄×C₄₃	—	2	2	no	—
139	C₂×C₄×C₄₃	—	2	2	no	—
140	C₂×C₄×C₄₃	—	2	1	no	—
141	C₂×C₄×C₄₃	—	2	1	no	—
142	C₂×C₄×C₄₃	—	2	1	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	2	2	no	—
145	C₂×C₄×C₄₃	—	4	2	no	—
146	C₂×C₄×C₄₃	—	4	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	2	no	—
151	C₂×C₄×C₄₃	—	4	2	no	—
152	C₂×C₄×C₄₃	—	4	2	no	—
153	C₂×C₄×C₄₃	—	4	2	no	—
154	C₂×C₄×C₄₃	—	4	2	no	—
155	C₂×C₄×C₄₃	—	4	2	no	—
156	C₂×C₄×C₄₃	#123	1	4	yes	—
157	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
158	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
159	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
160	C₂×C₄×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
161	C₈×C₄₃	—	4	2	no	—
162	C₈×C₄₃	—	4	2	no	—
163	#29929	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
164	C₂²×C₄₃	—	4	2	no	—
165	C₂²×C₄₃	—	4	1	no	—
166	C₂²×C₄₃	—	4	2	no	—
167	C₂²×C₄₃	—	4	1	no	—
168	C₂²×C₄₃	—	4	1	no	—
169	C₂²×C₄₃	—	8	2	no	—
170	C₂²×C₄₃	—	8	2	no	—
171	C₂²×C₄₃	—	8	2	no	—
172	C₂²×C₄₃	—	8	2	no	—
173	C₂²×C₄₃	—	8	2	no	—
174	C₂²×C₄₃	—	8	2	no	—
175	C₂²×C₄₃	—	8	2	no	—
176	C₂²×C₄₃	C₂×#123	1	1	yes	characteristic
177	C₂²×C₄₃	#535	1	1	yes	characteristic
178	C₂²×C₄₃	#537	1	1	yes	characteristic
179	C₂²×C₄₃	#576	1	2	yes	—
180	C₂²×C₄₃	#577	1	2	yes	—
181	C₄×C₄₃	—	2	4	no	—
182	C₄×C₄₃	—	4	2	no	—
183	C₄×C₄₃	—	4	1	no	—
184	C₄×C₄₃	—	8	2	no	—
185	C₄×C₄₃	—	8	2	no	—
186	C₄×C₄₃	—	8	2	no	—
187	C₄×C₄₃	#540	1	2	yes	—
188	C₄×C₄₃	#542	1	2	yes	—
189	#2619	C₂×C₄₃	1	1	yes	characteristic
190	#2314	C₂×C₄₃	1	1	yes	characteristic, complemented
191	#2092	C₂×C₄₃	1	2	yes	complemented
192	#2071	C₂×C₄₃	1	2	yes	complemented
193	#2034	C₂×C₄₃	1	2	yes	complemented
194	#2033	C₂×C₄₃	1	2	yes	complemented
195	#1982	C₂×C₄₃	1	2	yes	complemented
196	#1949	C₂×C₄₃	1	2	yes	complemented
197	#1798	C₂×C₄₃	1	1	yes	characteristic, complemented
198	C₂×C₄₃	—	8	1	no	—
199	C₂×C₄₃	—	16	2	no	—
200	C₂×C₄₃	#2624	1	1	yes	characteristic
201	C₂×C₄₃	#3096	1	2	yes	—
202	C₂×C₄₃	#3224	1	2	yes	—
203	C₂×C₄₃	#3259	1	1	yes	characteristic
204	C₂×C₄₃	#3260	1	1	yes	characteristic
205	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
206	C₂×#121	C₂²×C₄₃	1	2	yes	—
207	C₂×#117	C₂²×C₄₃	1	1	yes	characteristic
208	C₂×#107	C₂²×C₄₃	1	2	yes	—
209	C₂×#106	C₂²×C₄₃	1	2	yes	—
210	C₂×C₄⋊C₈	C₂²×C₄₃	1	2	yes	—
211	C₂×#102	C₂²×C₄₃	1	2	yes	—
212	C₂×#102	C₂²×C₄₃	1	2	yes	—
213	C₂×#102	C₂²×C₄₃	1	2	yes	—
214	C₂×#102	C₂²×C₄₃	1	2	yes	—
215	C₂×C₂²⋊C₈	C₂²×C₄₃	1	1	yes	characteristic
216	C₂×C₂²⋊C₈	C₂²×C₄₃	1	1	yes	characteristic
217	#394	—	2	2	no	—
218	#392	—	2	2	no	—
219	#390	C₂²×C₄₃	1	2	yes	—
220	#388	—	2	2	no	—
221	#387	—	2	2	no	—
222	#384	C₂²×C₄₃	1	1	yes	characteristic
223	#382	C₂²×C₄₃	1	1	yes	characteristic
224	#382	C₂²×C₄₃	1	1	yes	characteristic
225	#380	C₂²×C₄₃	1	2	yes	—
226	C₄×C₄⋊C₄	C₂²×C₄₃	1	2	yes	—
227	#340	C₂²×C₄₃	1	2	yes	—
228	#340	C₂²×C₄₃	1	2	yes	—
229	#336	C₂²×C₄₃	1	2	yes	—
230	C₄₃	#29929	1	1	yes	characteristic, direct product factor, Sylow
231	C₂²×D₄	—	2	2	no	—
232	C₂²×D₄	—	2	2	no	—
233	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
234	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
235	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
236	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
237	#127	—	2	4	no	—
238	#121	—	4	2	no	—
239	#121	—	4	2	no	—
240	#117	—	2	4	no	—
241	C₂×C₄⋊C₄	—	2	2	no	—
242	C₂×C₄⋊C₄	D₄×C₄₃	1	2	yes	—
243	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
244	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
245	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
246	C₂×C₂²⋊C₄	—	2	2	no	—
247	C₂×C₂²⋊C₄	—	2	2	no	—
248	C₂×C₂²⋊C₄	—	2	2	no	—
249	C₂×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₂²⋊C₄	D₄×C₄₃	1	2	yes	—
251	C₂×C₄²	—	2	2	no	—
252	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
253	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
254	#107	—	4	2	no	—
255	#106	—	4	2	no	—
256	C₄⋊C₈	—	2	4	no	—
257	#102	—	4	2	no	—
258	#102	—	4	2	no	—
259	#102	—	4	2	no	—
260	#102	—	4	2	no	—
261	C₂²⋊C₈	—	4	1	no	—
262	C₂²⋊C₈	—	4	1	no	—
263	#95	—	2	2	no	—
264	#95	—	2	2	no	—
265	#95	—	2	2	no	—
266	#95	—	2	2	no	—
267	C₂⁴	—	2	2	no	—
268	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	2	no	—
274	C₂×D₄	—	2	2	no	—
275	C₂×D₄	—	4	4	no	—
276	C₂×D₄	—	4	4	no	—
277	C₂×D₄	—	8	2	no	—
278	C₂×D₄	—	8	2	no	—
279	C₂×D₄	—	8	2	no	—
280	C₂×D₄	—	8	2	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	2	1	no	—
283	C₂²×C₄	—	2	2	no	—
284	C₂²×C₄	—	2	1	no	—
285	C₂²×C₄	—	2	2	no	—
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	2	2	no	—
288	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
289	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
290	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
291	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	2	2	no	—
297	C₂×C₈	—	2	2	no	—
298	C₄⋊C₄	—	2	4	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	2	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	8	2	no	—
306	C₂²⋊C₄	—	2	4	no	—
307	C₂²⋊C₄	—	4	4	no	—
308	C₂²⋊C₄	—	8	2	no	—
309	C₂²⋊C₄	—	8	2	no	—
310	C₂²⋊C₄	—	8	2	no	—
311	C₄²	—	2	2	no	—
312	C₄²	—	8	2	no	—
313	C₄²	#41×C₄₃	1	4	yes	—
314	C₂³	—	2	1	no	—
315	C₂³	—	2	1	no	—
316	C₂³	—	2	1	no	—
317	C₂³	—	2	2	no	—
318	C₂³	—	2	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	4	2	no	—
321	C₂³	—	4	2	no	—
322	C₂³	—	4	2	no	—
323	C₂³	—	4	2	no	—
324	C₂³	—	4	2	no	—
325	C₂³	—	4	2	no	—
326	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
327	D₄	—	4	2	no	—
328	D₄	—	4	2	no	—
329	D₄	—	4	2	no	—
330	D₄	—	4	2	no	—
331	D₄	—	8	8	no	—
332	D₄	—	8	8	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	#123×C₄₃	1	4	yes	—
353	C₂×C₄	C₂×#41×C₄₃	1	2	yes	—
354	C₂×C₄	H(5,𝔽₂)×C₄₃	1	1	yes	characteristic
355	C₂×C₄	H(5,𝔽₂)×C₄₃	1	2	yes	—
356	C₂×C₄	2₋¹⁺⁴×C₄₃	1	1	yes	characteristic
357	C₈	—	4	2	no	—
358	C₈	—	4	2	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	1	no	—
363	C₂²	—	4	1	no	—
364	C₂²	—	8	2	no	—
365	C₂²	—	8	2	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	8	2	no	—
369	C₂²	—	8	2	no	—
370	C₂²	—	8	2	no	—
371	C₂²	C₂×#123×C₄₃	1	1	yes	characteristic
372	C₂²	C₄₃×#535	1	1	yes	characteristic
373	C₂²	C₄₃×#537	1	1	yes	characteristic
374	C₂²	C₄₃×#576	1	2	yes	—
375	C₂²	C₄₃×#577	1	2	yes	—
376	C₄	—	2	4	no	—
377	C₄	—	4	2	no	—
378	C₄	—	4	1	no	—
379	C₄	—	8	2	no	—
380	C₄	—	8	2	no	—
381	C₄	—	8	2	no	—
382	C₄	C₄₃×#540	1	2	yes	—
383	C₄	C₄₃×#542	1	2	yes	—
384	C₂	—	8	1	no	—
385	C₂	—	16	2	no	—
386	C₂	C₄₃×#2624	1	1	yes	characteristic
387	C₂	C₄₃×#3096	1	2	yes	—
388	C₂	C₄₃×#3224	1	2	yes	—
389	C₂	C₄₃×#3259	1	1	yes	characteristic
390	C₂	C₄₃×#3260	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₄₃×#2619	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₂×#117×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₃×#2314	C₂	semidirect
3. C₄₃×#2092	C₂	semidirect
4. C₄₃×#2071	C₂	semidirect
5. C₄₃×#2034	C₂	semidirect
6. C₄₃×#2033	C₂	semidirect
7. C₄₃×#1982	C₂	semidirect
8. C₄₃×#1949	C₂	semidirect
9. C₄₃×#1798	C₂	semidirect
163. #29929	C₄₃	direct (N × H)
190. #2314	C₂×C₄₃	semidirect
191. #2092	C₂×C₄₃	semidirect
192. #2071	C₂×C₄₃	semidirect
193. #2034	C₂×C₄₃	semidirect
194. #2033	C₂×C₄₃	semidirect
195. #1982	C₂×C₄₃	semidirect
196. #1949	C₂×C₄₃	semidirect
197. #1798	C₂×C₄₃	semidirect
230. C₄₃	#29929	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₃×#2619	2
C₄₃×#2314	2
C₄₃×#2092	2
C₄₃×#2071	2
C₄₃×#2034	2
C₄₃×#2033	2
C₄₃×#1982	2
C₄₃×#1949	2
C₄₃×#1798	2
#29929	43

Subgroups — C43×#29929 #24949946

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#29929 #24949946