Subgroups — C₄₃×#29721 #24949738

Order 11008.

1182 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	C₂×C₄₃×#447	C₂	1	2	yes	maximal, complemented
2	C₄₃×#2619	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₃×#2309	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#2073	C₂	1	2	yes	maximal, complemented
5	C₄₃×#2054	C₂	1	4	yes	maximal, complemented
6	C₄₃×#2011	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1875	C₂	1	2	yes	maximal, complemented
8	C₄₃×#1798	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic
10	C₂²×D₈×C₄₃	C₂²	1	4	yes	—
11	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic, complemented
12	C₂×#121×C₄₃	C₂²	1	2	yes	—
13	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
14	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
15	C₄₃×#447	—	2	8	no	—
16	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	complemented
17	C₂×#102×C₄₃	C₂²	1	4	yes	—
18	C₂×#102×C₄₃	C₂²	1	4	yes	complemented
19	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
20	C₄₃×#394	—	2	2	no	—
21	C₄₃×#392	—	2	2	no	—
22	C₄₃×#390	—	2	2	no	—
23	C₄₃×#390	C₂²	1	2	yes	—
24	C₄₃×#390	C₂²	1	2	yes	—
25	C₄₃×#390	C₂²	1	2	yes	complemented
26	C₄₃×#382	C₂²	1	1	yes	characteristic, complemented
27	C₄₃×#379	—	2	2	no	—
28	C₄₃×#340	C₂²	1	4	yes	complemented
29	C₄₃×#336	C₂²	1	2	yes	complemented
30	C₂⁵×C₄₃	—	2	1	no	—
31	C₂²×D₄×C₄₃	—	2	2	no	—
32	C₂²×D₄×C₄₃	—	2	1	no	—
33	C₂²×D₄×C₄₃	—	2	2	no	—
34	C₂²×D₄×C₄₃	—	2	2	no	—
35	C₂²×D₄×C₄₃	—	4	2	no	—
36	C₂²×D₄×C₄₃	—	4	2	no	—
37	C₂²×D₄×C₄₃	D₄	1	4	yes	complemented
38	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
39	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
40	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
41	C₂×D₈×C₄₃	—	2	8	no	—
42	C₂×D₈×C₄₃	—	4	4	no	—
43	C₂×D₈×C₄₃	—	4	4	no	—
44	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
45	#127×C₄₃	—	4	2	no	—
46	#121×C₄₃	—	2	4	no	—
47	#121×C₄₃	—	2	4	no	—
48	#117×C₄₃	—	4	2	no	—
49	#117×C₄₃	—	4	2	no	—
50	C₂×C₄⋊C₄×C₄₃	D₄	1	2	yes	—
51	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
52	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
53	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
54	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
55	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
56	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
57	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
58	C₂×C₂²⋊C₄×C₄₃	D₄	1	2	yes	—
59	C₂×C₄²×C₄₃	—	2	1	no	—
60	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
61	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
62	C₄⋊C₈×C₄₃	—	4	2	no	—
63	#102×C₄₃	—	2	8	no	—
64	#102×C₄₃	—	4	4	no	—
65	C₂²⋊C₈×C₄₃	—	2	4	no	—
66	#95×C₄₃	—	2	2	no	—
67	C₂⁴×C₄₃	—	2	2	no	—
68	C₂⁴×C₄₃	—	2	4	no	—
69	C₂⁴×C₄₃	—	2	2	no	—
70	C₂⁴×C₄₃	—	4	2	no	—
71	C₂⁴×C₄₃	—	4	2	no	—
72	C₂⁴×C₄₃	—	8	4	no	—
73	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
74	C₂×D₄×C₄₃	—	2	4	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	4	no	—
79	C₂×D₄×C₄₃	—	2	4	no	—
80	C₂×D₄×C₄₃	—	2	4	no	—
81	C₂×D₄×C₄₃	—	2	4	no	—
82	C₂×D₄×C₄₃	—	4	8	no	—
83	C₂×D₄×C₄₃	—	4	8	no	—
84	C₂×D₄×C₄₃	—	4	2	no	—
85	C₂×D₄×C₄₃	—	4	2	no	—
86	C₂×D₄×C₄₃	—	4	4	no	—
87	C₂×D₄×C₄₃	—	4	4	no	—
88	C₂×D₄×C₄₃	—	8	4	no	—
89	C₂×D₄×C₄₃	—	8	4	no	—
90	C₂×D₄×C₄₃	C₂×D₄	1	4	yes	—
91	C₂²×C₄×C₄₃	—	2	2	no	—
92	C₂²×C₄×C₄₃	—	2	2	no	—
93	C₂²×C₄×C₄₃	—	2	2	no	—
94	C₂²×C₄×C₄₃	—	2	2	no	—
95	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₃	#41	1	2	yes	—
100	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
101	D₈×C₄₃	—	4	16	no	—
102	C₂×C₈×C₄₃	—	2	4	no	—
103	C₂×C₈×C₄₃	—	2	4	no	—
104	C₂×C₈×C₄₃	—	2	4	no	—
105	C₄⋊C₄×C₄₃	—	2	2	no	—
106	C₄⋊C₄×C₄₃	—	2	2	no	—
107	C₄⋊C₄×C₄₃	—	2	4	no	—
108	C₄⋊C₄×C₄₃	—	4	2	no	—
109	C₂²⋊C₄×C₄₃	—	4	2	no	—
110	C₂²⋊C₄×C₄₃	—	4	2	no	—
111	C₂²⋊C₄×C₄₃	—	4	4	no	—
112	C₂²⋊C₄×C₄₃	—	8	4	no	—
113	C₂²⋊C₄×C₄₃	—	8	4	no	—
114	C₂²⋊C₄×C₄₃	—	8	4	no	—
115	C₄²×C₄₃	—	2	2	no	—
116	C₄²×C₄₃	—	2	2	no	—
117	C₄²×C₄₃	—	4	2	no	—
118	C₂³×C₄₃	—	2	1	no	—
119	C₂³×C₄₃	—	2	1	no	—
120	C₂³×C₄₃	—	2	4	no	—
121	C₂³×C₄₃	—	2	4	no	—
122	C₂³×C₄₃	—	4	8	no	—
123	C₂³×C₄₃	—	4	2	no	—
124	C₂³×C₄₃	—	4	2	no	—
125	C₂³×C₄₃	—	4	4	no	—
126	C₂³×C₄₃	—	4	4	no	—
127	C₂³×C₄₃	—	4	2	no	—
128	C₂³×C₄₃	—	4	2	no	—
129	C₂³×C₄₃	—	4	2	no	—
130	C₂³×C₄₃	—	4	4	no	—
131	C₂³×C₄₃	—	4	4	no	—
132	C₂³×C₄₃	—	8	8	no	—
133	C₂³×C₄₃	—	8	8	no	—
134	C₂³×C₄₃	—	8	8	no	—
135	C₂³×C₄₃	#121	1	2	yes	—
136	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
137	D₄×C₄₃	—	2	8	no	—
138	D₄×C₄₃	—	4	8	no	—
139	D₄×C₄₃	—	4	4	no	—
140	D₄×C₄₃	—	4	4	no	—
141	D₄×C₄₃	—	4	4	no	—
142	D₄×C₄₃	—	8	8	no	—
143	D₄×C₄₃	—	8	8	no	—
144	C₂×C₄×C₄₃	—	2	1	no	—
145	C₂×C₄×C₄₃	—	2	1	no	—
146	C₂×C₄×C₄₃	—	2	4	no	—
147	C₂×C₄×C₄₃	—	2	4	no	—
148	C₂×C₄×C₄₃	—	2	2	no	—
149	C₂×C₄×C₄₃	—	2	2	no	—
150	C₂×C₄×C₄₃	—	2	4	no	—
151	C₂×C₄×C₄₃	—	2	4	no	—
152	C₂×C₄×C₄₃	—	4	2	no	—
153	C₂×C₄×C₄₃	—	4	2	no	—
154	C₂×C₄×C₄₃	—	4	4	no	—
155	C₂×C₄×C₄₃	—	4	4	no	—
156	C₂×C₄×C₄₃	#121	1	2	yes	—
157	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
159	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
160	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
161	C₈×C₄₃	—	4	4	no	—
162	#29721	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
163	C₂²×C₄₃	—	2	2	no	—
164	C₂²×C₄₃	—	2	4	no	—
165	C₂²×C₄₃	—	4	2	no	—
166	C₂²×C₄₃	—	4	2	no	—
167	C₂²×C₄₃	—	4	4	no	—
168	C₂²×C₄₃	—	4	8	no	—
169	C₂²×C₄₃	—	8	16	no	—
170	C₂²×C₄₃	—	8	4	no	—
171	C₂²×C₄₃	—	8	2	no	—
172	C₂²×C₄₃	—	8	2	no	—
173	C₂²×C₄₃	—	8	2	no	—
174	C₂²×C₄₃	—	8	4	no	—
175	C₂²×C₄₃	—	8	4	no	—
176	C₂²×C₄₃	—	8	2	no	—
177	C₂²×C₄₃	—	8	2	no	—
178	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
179	C₂²×C₄₃	#534	1	1	yes	characteristic
180	C₂²×C₄₃	#535	1	1	yes	characteristic
181	C₂²×C₄₃	#576	1	4	yes	—
182	C₄×C₄₃	—	2	2	no	—
183	C₄×C₄₃	—	4	2	no	—
184	C₄×C₄₃	—	4	2	no	—
185	C₄×C₄₃	—	8	2	no	—
186	C₄×C₄₃	—	8	2	no	—
187	C₄×C₄₃	#534	1	2	yes	—
188	C₄×C₄₃	#538	1	2	yes	—
189	C₂×#447	C₂×C₄₃	1	2	yes	complemented
190	#2619	C₂×C₄₃	1	1	yes	characteristic, complemented
191	#2309	C₂×C₄₃	1	1	yes	characteristic, complemented
192	#2073	C₂×C₄₃	1	2	yes	complemented
193	#2054	C₂×C₄₃	1	4	yes	complemented
194	#2011	C₂×C₄₃	1	2	yes	complemented
195	#1875	C₂×C₄₃	1	2	yes	complemented
196	#1798	C₂×C₄₃	1	1	yes	characteristic, complemented
197	C₂×C₄₃	—	4	2	no	—
198	C₂×C₄₃	—	8	4	no	—
199	C₂×C₄₃	—	16	2	no	—
200	C₂×C₄₃	#2617	1	1	yes	characteristic
201	C₂×C₄₃	#3041	1	2	yes	—
202	C₂×C₄₃	#3199	1	2	yes	—
203	C₂×C₄₃	#3220	1	2	yes	—
204	C₂³×D₄	C₂²×C₄₃	1	1	yes	characteristic
205	C₂²×D₈	C₂²×C₄₃	1	4	yes	—
206	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic, complemented
207	C₂×#121	C₂²×C₄₃	1	2	yes	—
208	C₂×#117	C₂²×C₄₃	1	1	yes	characteristic
209	C₂×#117	C₂²×C₄₃	1	1	yes	characteristic
210	#447	—	2	8	no	—
211	C₂×C₄⋊C₈	C₂²×C₄₃	1	2	yes	complemented
212	C₂×#102	C₂²×C₄₃	1	4	yes	—
213	C₂×#102	C₂²×C₄₃	1	4	yes	complemented
214	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
215	#394	—	2	2	no	—
216	#392	—	2	2	no	—
217	#390	—	2	2	no	—
218	#390	C₂²×C₄₃	1	2	yes	—
219	#390	C₂²×C₄₃	1	2	yes	—
220	#390	C₂²×C₄₃	1	2	yes	complemented
221	#382	C₂²×C₄₃	1	1	yes	characteristic, complemented
222	#379	—	2	2	no	—
223	#340	C₂²×C₄₃	1	4	yes	complemented
224	#336	C₂²×C₄₃	1	2	yes	complemented
225	C₄₃	#29721	1	1	yes	characteristic, direct product factor, Sylow
226	C₂⁵	—	2	1	no	—
227	C₂²×D₄	—	2	2	no	—
228	C₂²×D₄	—	2	1	no	—
229	C₂²×D₄	—	2	2	no	—
230	C₂²×D₄	—	2	2	no	—
231	C₂²×D₄	—	4	2	no	—
232	C₂²×D₄	—	4	2	no	—
233	C₂²×D₄	D₄×C₄₃	1	4	yes	complemented
234	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
235	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
236	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
237	C₂×D₈	—	2	8	no	—
238	C₂×D₈	—	4	4	no	—
239	C₂×D₈	—	4	4	no	—
240	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
241	#127	—	4	2	no	—
242	#121	—	2	4	no	—
243	#121	—	2	4	no	—
244	#117	—	4	2	no	—
245	#117	—	4	2	no	—
246	C₂×C₄⋊C₄	D₄×C₄₃	1	2	yes	—
247	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
248	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
249	C₂×C₂²⋊C₄	—	2	1	no	—
250	C₂×C₂²⋊C₄	—	2	2	no	—
251	C₂×C₂²⋊C₄	—	2	4	no	—
252	C₂×C₂²⋊C₄	—	2	4	no	—
253	C₂×C₂²⋊C₄	—	2	4	no	—
254	C₂×C₂²⋊C₄	D₄×C₄₃	1	2	yes	—
255	C₂×C₄²	—	2	1	no	—
256	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
257	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
258	C₄⋊C₈	—	4	2	no	—
259	#102	—	2	8	no	—
260	#102	—	4	4	no	—
261	C₂²⋊C₈	—	2	4	no	—
262	#95	—	2	2	no	—
263	C₂⁴	—	2	2	no	—
264	C₂⁴	—	2	4	no	—
265	C₂⁴	—	2	2	no	—
266	C₂⁴	—	4	2	no	—
267	C₂⁴	—	4	2	no	—
268	C₂⁴	—	8	4	no	—
269	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
270	C₂×D₄	—	2	4	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	2	no	—
274	C₂×D₄	—	2	4	no	—
275	C₂×D₄	—	2	4	no	—
276	C₂×D₄	—	2	4	no	—
277	C₂×D₄	—	2	4	no	—
278	C₂×D₄	—	4	8	no	—
279	C₂×D₄	—	4	2	no	—
280	C₂×D₄	—	4	2	no	—
281	C₂×D₄	—	4	8	no	—
282	C₂×D₄	—	4	4	no	—
283	C₂×D₄	—	4	4	no	—
284	C₂×D₄	—	8	4	no	—
285	C₂×D₄	—	8	4	no	—
286	C₂×D₄	C₂×D₄×C₄₃	1	4	yes	—
287	C₂²×C₄	—	2	2	no	—
288	C₂²×C₄	—	2	2	no	—
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	—	2	2	no	—
291	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
292	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
293	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
294	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
295	C₂²×C₄	#41×C₄₃	1	2	yes	—
296	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
297	D₈	—	4	16	no	—
298	C₂×C₈	—	2	4	no	—
299	C₂×C₈	—	2	4	no	—
300	C₂×C₈	—	2	4	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	4	no	—
304	C₄⋊C₄	—	4	2	no	—
305	C₂²⋊C₄	—	4	2	no	—
306	C₂²⋊C₄	—	4	2	no	—
307	C₂²⋊C₄	—	4	4	no	—
308	C₂²⋊C₄	—	8	4	no	—
309	C₂²⋊C₄	—	8	4	no	—
310	C₂²⋊C₄	—	8	4	no	—
311	C₄²	—	2	2	no	—
312	C₄²	—	2	2	no	—
313	C₄²	—	4	2	no	—
314	C₂³	—	2	1	no	—
315	C₂³	—	2	1	no	—
316	C₂³	—	2	4	no	—
317	C₂³	—	2	4	no	—
318	C₂³	—	4	8	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	4	2	no	—
321	C₂³	—	4	4	no	—
322	C₂³	—	4	4	no	—
323	C₂³	—	4	2	no	—
324	C₂³	—	4	2	no	—
325	C₂³	—	4	2	no	—
326	C₂³	—	4	4	no	—
327	C₂³	—	4	4	no	—
328	C₂³	—	8	8	no	—
329	C₂³	—	8	8	no	—
330	C₂³	—	8	8	no	—
331	C₂³	#121×C₄₃	1	2	yes	—
332	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
333	D₄	—	2	8	no	—
334	D₄	—	4	8	no	—
335	D₄	—	4	4	no	—
336	D₄	—	4	4	no	—
337	D₄	—	4	4	no	—
338	D₄	—	8	8	no	—
339	D₄	—	8	8	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	4	no	—
343	C₂×C₄	—	2	4	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	2	no	—
346	C₂×C₄	—	2	4	no	—
347	C₂×C₄	—	2	4	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	4	no	—
351	C₂×C₄	—	4	4	no	—
352	C₂×C₄	#121×C₄₃	1	2	yes	—
353	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
354	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
355	C₂×C₄	H(5,𝔽₂)×C₄₃	1	2	yes	—
356	C₂×C₄	H(5,𝔽₂)×C₄₃	1	2	yes	—
357	C₈	—	4	4	no	—
358	C₂²	—	2	2	no	—
359	C₂²	—	2	4	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	4	no	—
363	C₂²	—	4	8	no	—
364	C₂²	—	8	16	no	—
365	C₂²	—	8	4	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	8	2	no	—
369	C₂²	—	8	4	no	—
370	C₂²	—	8	4	no	—
371	C₂²	—	8	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	C₂×#121×C₄₃	1	1	yes	characteristic
374	C₂²	C₄₃×#534	1	1	yes	characteristic
375	C₂²	C₄₃×#535	1	1	yes	characteristic
376	C₂²	C₄₃×#576	1	4	yes	—
377	C₄	—	2	2	no	—
378	C₄	—	4	2	no	—
379	C₄	—	4	2	no	—
380	C₄	—	8	2	no	—
381	C₄	—	8	2	no	—
382	C₄	C₄₃×#534	1	2	yes	—
383	C₄	C₄₃×#538	1	2	yes	—
384	C₂	—	4	2	no	—
385	C₂	—	8	4	no	—
386	C₂	—	16	2	no	—
387	C₂	C₄₃×#2617	1	1	yes	characteristic
388	C₂	C₄₃×#3041	1	2	yes	—
389	C₂	C₄₃×#3199	1	2	yes	—
390	C₂	C₄₃×#3220	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
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
1. C₂×C₄₃×#447	C₂	semidirect
2. C₄₃×#2619	C₂	semidirect
3. C₄₃×#2309	C₂	semidirect
4. C₄₃×#2073	C₂	semidirect
5. C₄₃×#2054	C₂	semidirect
6. C₄₃×#2011	C₂	semidirect
7. C₄₃×#1875	C₂	semidirect
8. C₄₃×#1798	C₂	semidirect
11. C₂×#127×C₄₃	C₂²	semidirect
16. C₂×C₄⋊C₈×C₄₃	C₂²	semidirect
18. C₂×#102×C₄₃	C₂²	semidirect
25. C₄₃×#390	C₂²	semidirect
26. C₄₃×#382	C₂²	semidirect
28. C₄₃×#340	C₂²	semidirect
29. C₄₃×#336	C₂²	semidirect
37. C₂²×D₄×C₄₃	D₄	semidirect
162. #29721	C₄₃	direct (N × H)
189. C₂×#447	C₂×C₄₃	semidirect
190. #2619	C₂×C₄₃	semidirect
191. #2309	C₂×C₄₃	semidirect
192. #2073	C₂×C₄₃	semidirect
193. #2054	C₂×C₄₃	semidirect
194. #2011	C₂×C₄₃	semidirect
195. #1875	C₂×C₄₃	semidirect
196. #1798	C₂×C₄₃	semidirect
206. C₂×#127	C₂²×C₄₃	semidirect
211. C₂×C₄⋊C₈	C₂²×C₄₃	semidirect
213. C₂×#102	C₂²×C₄₃	semidirect
220. #390	C₂²×C₄₃	semidirect
221. #382	C₂²×C₄₃	semidirect
223. #340	C₂²×C₄₃	semidirect
224. #336	C₂²×C₄₃	semidirect
225. C₄₃	#29721	direct (N × H)
233. C₂²×D₄	D₄×C₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₃×#447	2
C₄₃×#2619	2
C₄₃×#2309	2
C₄₃×#2073	2
C₄₃×#2054	2
C₄₃×#2011	2
C₄₃×#1875	2
C₄₃×#1798	2
#29721	43

Subgroups — C43×#29721 #24949738

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#29721 #24949738