Subgroups — C₄₃×#32912 #24952929

Order 11008.

1430 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄₃×#460	C₂	1	2	yes	maximal, complemented
3	C₂×C₄₃×#448	C₂	1	2	yes	maximal, complemented
4	C₄₃×#2619	C₂	1	1	yes	maximal, characteristic
5	C₄₃×#1880	C₂	1	4	yes	maximal, complemented
6	C₄₃×#1875	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1805	C₂	1	2	yes	maximal, complemented
8	C₄₃×#1798	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×Q₈×C₄₃	C₂²	1	1	yes	characteristic
10	C₂²×SD₁₆×C₄₃	C₂²	1	4	yes	—
11	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
12	C₂×#121×C₄₃	C₂²	1	2	yes	—
13	C₄₃×#519	—	2	8	no	—
14	C₂×C₄×Q₈×C₄₃	—	2	2	no	—
15	C₂×C₄×Q₈×C₄₃	C₂²	1	2	yes	—
16	C₂×C₄×Q₈×C₄₃	C₂²	1	2	yes	—
17	C₂×#117×C₄₃	—	2	2	no	—
18	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
19	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
20	C₄₃×#460	—	2	8	no	—
21	C₄₃×#448	—	2	8	no	—
22	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
23	C₂×#103×C₄₃	C₂²	1	4	yes	—
24	C₂×#102×C₄₃	C₂²	1	4	yes	—
25	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
26	C₄₃×#394	—	2	2	no	—
27	C₄₃×#392	—	2	2	no	—
28	C₄₃×#390	C₂²	1	2	yes	—
29	C₄₃×#382	C₂²	1	1	yes	characteristic
30	C₄₃×#340	C₂²	1	4	yes	—
31	C₄₃×#336	C₂²	1	2	yes	—
32	C₂²×Q₈×C₄₃	—	2	4	no	—
33	C₂²×Q₈×C₄₃	—	2	4	no	—
34	C₂²×Q₈×C₄₃	—	2	1	no	—
35	C₂²×Q₈×C₄₃	—	2	2	no	—
36	C₂²×Q₈×C₄₃	D₄	1	4	yes	complemented
37	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
38	C₂²×D₄×C₄₃	—	2	2	no	—
39	C₂²×D₄×C₄₃	—	2	2	no	—
40	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
41	C₂³×C₄×C₄₃	—	2	1	no	—
42	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
43	C₂×SD₁₆×C₄₃	—	2	8	no	—
44	C₂×SD₁₆×C₄₃	—	2	8	no	—
45	C₂×SD₁₆×C₄₃	—	2	8	no	—
46	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
47	#127×C₄₃	—	2	4	no	—
48	#121×C₄₃	—	2	4	no	—
49	#121×C₄₃	—	2	4	no	—
50	C₄×Q₈×C₄₃	—	2	16	no	—
51	C₄×Q₈×C₄₃	—	2	4	no	—
52	C₄×Q₈×C₄₃	—	2	4	no	—
53	C₄×Q₈×C₄₃	—	2	4	no	—
54	C₄×Q₈×C₄₃	D₄	1	8	yes	complemented
55	#117×C₄₃	—	2	16	no	—
56	#117×C₄₃	—	2	4	no	—
57	#117×C₄₃	—	2	4	no	—
58	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
59	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
60	C₂×C₄⋊C₄×C₄₃	D₄	1	2	yes	—
61	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
62	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
63	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
64	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
65	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
66	C₂×C₂²⋊C₄×C₄₃	D₄	1	2	yes	—
67	C₂×C₄²×C₄₃	—	2	2	no	—
68	C₂×C₄²×C₄₃	—	2	2	no	—
69	C₂×C₄²×C₄₃	—	2	1	no	—
70	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
71	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
72	C₄⋊C₈×C₄₃	—	2	4	no	—
73	#103×C₄₃	—	2	8	no	—
74	#102×C₄₃	—	2	8	no	—
75	C₂²⋊C₈×C₄₃	—	2	4	no	—
76	#95×C₄₃	—	2	2	no	—
77	C₂⁴×C₄₃	—	2	2	no	—
78	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
79	C₂×Q₈×C₄₃	—	2	4	no	—
80	C₂×Q₈×C₄₃	—	2	16	no	—
81	C₂×Q₈×C₄₃	—	2	4	no	—
82	C₂×Q₈×C₄₃	—	2	16	no	—
83	C₂×Q₈×C₄₃	—	2	4	no	—
84	C₂×Q₈×C₄₃	—	2	2	no	—
85	C₂×Q₈×C₄₃	—	2	2	no	—
86	C₂×Q₈×C₄₃	—	2	2	no	—
87	C₂×Q₈×C₄₃	C₂×D₄	1	4	yes	—
88	C₂×Q₈×C₄₃	C₂×D₄	1	4	yes	—
89	C₂×Q₈×C₄₃	#41	1	4	yes	—
90	C₂×D₄×C₄₃	—	2	4	no	—
91	C₂×D₄×C₄₃	—	2	2	no	—
92	C₂×D₄×C₄₃	—	2	2	no	—
93	C₂×D₄×C₄₃	—	2	4	no	—
94	C₂×D₄×C₄₃	—	4	4	no	—
95	C₂×D₄×C₄₃	—	4	4	no	—
96	C₂×D₄×C₄₃	—	8	4	no	—
97	C₂×D₄×C₄₃	—	8	4	no	—
98	C₂²×C₄×C₄₃	—	2	4	no	—
99	C₂²×C₄×C₄₃	—	2	4	no	—
100	C₂²×C₄×C₄₃	—	2	2	no	—
101	C₂²×C₄×C₄₃	—	2	2	no	—
102	C₂²×C₄×C₄₃	—	2	4	no	—
103	C₂²×C₄×C₄₃	—	2	2	no	—
104	C₂²×C₄×C₄₃	—	2	2	no	—
105	C₂²×C₄×C₄₃	—	2	2	no	—
106	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
107	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
109	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₄₃	#41	1	2	yes	—
111	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
112	SD₁₆×C₄₃	—	4	16	no	—
113	C₂×C₈×C₄₃	—	2	4	no	—
114	C₂×C₈×C₄₃	—	2	4	no	—
115	C₂×C₈×C₄₃	—	2	4	no	—
116	C₄⋊C₄×C₄₃	—	2	8	no	—
117	C₄⋊C₄×C₄₃	—	2	8	no	—
118	C₄⋊C₄×C₄₃	—	2	4	no	—
119	C₄⋊C₄×C₄₃	—	2	2	no	—
120	C₄⋊C₄×C₄₃	—	2	2	no	—
121	C₄⋊C₄×C₄₃	—	2	2	no	—
122	C₄⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
123	C₂²⋊C₄×C₄₃	—	2	4	no	—
124	C₂²⋊C₄×C₄₃	—	2	4	no	—
125	C₂²⋊C₄×C₄₃	—	4	4	no	—
126	C₂²⋊C₄×C₄₃	—	8	4	no	—
127	C₄²×C₄₃	—	2	8	no	—
128	C₄²×C₄₃	—	2	4	no	—
129	C₄²×C₄₃	—	2	8	no	—
130	C₄²×C₄₃	—	2	2	no	—
131	C₄²×C₄₃	C₂×D₄	1	4	yes	—
132	C₂³×C₄₃	—	2	1	no	—
133	C₂³×C₄₃	—	2	1	no	—
134	C₂³×C₄₃	—	2	4	no	—
135	C₂³×C₄₃	—	4	2	no	—
136	C₂³×C₄₃	—	4	2	no	—
137	C₂³×C₄₃	—	4	2	no	—
138	C₂³×C₄₃	—	4	4	no	—
139	C₂³×C₄₃	—	4	4	no	—
140	C₂³×C₄₃	#121	1	2	yes	—
141	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
142	Q₈×C₄₃	—	2	16	no	—
143	Q₈×C₄₃	—	2	4	no	—
144	Q₈×C₄₃	—	2	4	no	—
145	Q₈×C₄₃	—	2	4	no	—
146	Q₈×C₄₃	#121	1	8	yes	—
147	D₄×C₄₃	—	4	4	no	—
148	D₄×C₄₃	—	4	4	no	—
149	D₄×C₄₃	—	8	8	no	—
150	D₄×C₄₃	—	8	8	no	—
151	C₂×C₄×C₄₃	—	2	16	no	—
152	C₂×C₄×C₄₃	—	2	4	no	—
153	C₂×C₄×C₄₃	—	2	1	no	—
154	C₂×C₄×C₄₃	—	2	4	no	—
155	C₂×C₄×C₄₃	—	2	4	no	—
156	C₂×C₄×C₄₃	—	2	1	no	—
157	C₂×C₄×C₄₃	—	2	4	no	—
158	C₂×C₄×C₄₃	—	2	4	no	—
159	C₂×C₄×C₄₃	—	2	4	no	—
160	C₂×C₄×C₄₃	—	2	2	no	—
161	C₂×C₄×C₄₃	—	2	4	no	—
162	C₂×C₄×C₄₃	—	2	4	no	—
163	C₂×C₄×C₄₃	—	4	4	no	—
164	C₂×C₄×C₄₃	—	4	2	no	—
165	C₂×C₄×C₄₃	—	4	4	no	—
166	C₂×C₄×C₄₃	#120	1	4	yes	—
167	C₂×C₄×C₄₃	#121	1	2	yes	—
168	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
169	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
170	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
171	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
172	C₈×C₄₃	—	4	4	no	—
173	#32912	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
174	C₂²×C₄₃	—	2	2	no	—
175	C₂²×C₄₃	—	2	4	no	—
176	C₂²×C₄₃	—	4	2	no	—
177	C₂²×C₄₃	—	4	2	no	—
178	C₂²×C₄₃	—	8	2	no	—
179	C₂²×C₄₃	—	8	4	no	—
180	C₂²×C₄₃	—	8	4	no	—
181	C₂²×C₄₃	—	8	2	no	—
182	C₂²×C₄₃	—	8	2	no	—
183	C₂²×C₄₃	C₂×#120	1	1	yes	characteristic
184	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
185	C₂²×C₄₃	#525	1	1	yes	characteristic
186	C₂²×C₄₃	#577	1	4	yes	—
187	C₄×C₄₃	—	2	8	no	—
188	C₄×C₄₃	—	2	2	no	—
189	C₄×C₄₃	—	2	4	no	—
190	C₄×C₄₃	—	4	2	no	—
191	C₄×C₄₃	—	4	4	no	—
192	C₄×C₄₃	—	8	2	no	—
193	C₄×C₄₃	C₂×#121	1	2	yes	—
194	C₄×C₄₃	#525	1	2	yes	—
195	C₂×#519	C₂×C₄₃	1	1	yes	characteristic, complemented
196	C₂×#460	C₂×C₄₃	1	2	yes	complemented
197	C₂×#448	C₂×C₄₃	1	2	yes	complemented
198	#2619	C₂×C₄₃	1	1	yes	characteristic
199	#1880	C₂×C₄₃	1	4	yes	complemented
200	#1875	C₂×C₄₃	1	2	yes	complemented
201	#1805	C₂×C₄₃	1	2	yes	complemented
202	#1798	C₂×C₄₃	1	1	yes	characteristic, complemented
203	C₂×C₄₃	—	4	2	no	—
204	C₂×C₄₃	—	16	2	no	—
205	C₂×C₄₃	#2847	1	1	yes	characteristic
206	C₂×C₄₃	#3010	1	2	yes	—
207	C₂×C₄₃	#3043	1	2	yes	—
208	C₂×C₄₃	#3126	1	2	yes	—
209	C₂³×Q₈	C₂²×C₄₃	1	1	yes	characteristic
210	C₂²×SD₁₆	C₂²×C₄₃	1	4	yes	—
211	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
212	C₂×#121	C₂²×C₄₃	1	2	yes	—
213	#519	—	2	8	no	—
214	C₂×C₄×Q₈	—	2	2	no	—
215	C₂×C₄×Q₈	C₂²×C₄₃	1	2	yes	—
216	C₂×C₄×Q₈	C₂²×C₄₃	1	2	yes	—
217	C₂×#117	—	2	2	no	—
218	C₂×#117	C₂²×C₄₃	1	1	yes	characteristic
219	C₂×#117	C₂²×C₄₃	1	1	yes	characteristic
220	#460	—	2	8	no	—
221	#448	—	2	8	no	—
222	C₂×C₄⋊C₈	C₂²×C₄₃	1	2	yes	—
223	C₂×#103	C₂²×C₄₃	1	4	yes	—
224	C₂×#102	C₂²×C₄₃	1	4	yes	—
225	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
226	#394	—	2	2	no	—
227	#392	—	2	2	no	—
228	#390	C₂²×C₄₃	1	2	yes	—
229	#382	C₂²×C₄₃	1	1	yes	characteristic
230	#340	C₂²×C₄₃	1	4	yes	—
231	#336	C₂²×C₄₃	1	2	yes	—
232	C₄₃	#32912	1	1	yes	characteristic, direct product factor, Sylow
233	C₂²×Q₈	—	2	4	no	—
234	C₂²×Q₈	—	2	4	no	—
235	C₂²×Q₈	—	2	1	no	—
236	C₂²×Q₈	—	2	2	no	—
237	C₂²×Q₈	D₄×C₄₃	1	4	yes	complemented
238	C₂²×Q₈	C₂³×C₄₃	1	2	yes	—
239	C₂²×D₄	—	2	2	no	—
240	C₂²×D₄	—	2	2	no	—
241	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
242	C₂³×C₄	—	2	1	no	—
243	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
244	C₂×SD₁₆	—	2	8	no	—
245	C₂×SD₁₆	—	2	8	no	—
246	C₂×SD₁₆	—	2	8	no	—
247	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
248	#127	—	2	4	no	—
249	#121	—	2	4	no	—
250	#121	—	2	4	no	—
251	C₄×Q₈	—	2	16	no	—
252	C₄×Q₈	—	2	4	no	—
253	C₄×Q₈	—	2	4	no	—
254	C₄×Q₈	—	2	4	no	—
255	C₄×Q₈	D₄×C₄₃	1	8	yes	complemented
256	#117	—	2	16	no	—
257	#117	—	2	4	no	—
258	#117	—	2	4	no	—
259	C₂×C₄⋊C₄	—	2	2	no	—
260	C₂×C₄⋊C₄	—	2	2	no	—
261	C₂×C₄⋊C₄	D₄×C₄₃	1	2	yes	—
262	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
263	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
264	C₂×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₂²⋊C₄	—	2	4	no	—
267	C₂×C₂²⋊C₄	D₄×C₄₃	1	2	yes	—
268	C₂×C₄²	—	2	2	no	—
269	C₂×C₄²	—	2	2	no	—
270	C₂×C₄²	—	2	1	no	—
271	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
272	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
273	C₄⋊C₈	—	2	4	no	—
274	#103	—	2	8	no	—
275	#102	—	2	8	no	—
276	C₂²⋊C₈	—	2	4	no	—
277	#95	—	2	2	no	—
278	C₂⁴	—	2	2	no	—
279	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
280	C₂×Q₈	—	2	4	no	—
281	C₂×Q₈	—	2	16	no	—
282	C₂×Q₈	—	2	4	no	—
283	C₂×Q₈	—	2	16	no	—
284	C₂×Q₈	—	2	4	no	—
285	C₂×Q₈	—	2	2	no	—
286	C₂×Q₈	—	2	2	no	—
287	C₂×Q₈	—	2	2	no	—
288	C₂×Q₈	C₂×D₄×C₄₃	1	4	yes	—
289	C₂×Q₈	C₂×D₄×C₄₃	1	4	yes	—
290	C₂×Q₈	#41×C₄₃	1	4	yes	—
291	C₂×D₄	—	2	4	no	—
292	C₂×D₄	—	2	2	no	—
293	C₂×D₄	—	2	2	no	—
294	C₂×D₄	—	2	4	no	—
295	C₂×D₄	—	4	4	no	—
296	C₂×D₄	—	4	4	no	—
297	C₂×D₄	—	8	4	no	—
298	C₂×D₄	—	8	4	no	—
299	C₂²×C₄	—	2	4	no	—
300	C₂²×C₄	—	2	4	no	—
301	C₂²×C₄	—	2	4	no	—
302	C₂²×C₄	—	2	2	no	—
303	C₂²×C₄	—	2	2	no	—
304	C₂²×C₄	—	2	2	no	—
305	C₂²×C₄	—	2	2	no	—
306	C₂²×C₄	—	2	2	no	—
307	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
308	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
309	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
310	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
311	C₂²×C₄	#41×C₄₃	1	2	yes	—
312	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
313	SD₁₆	—	4	16	no	—
314	C₂×C₈	—	2	4	no	—
315	C₂×C₈	—	2	4	no	—
316	C₂×C₈	—	2	4	no	—
317	C₄⋊C₄	—	2	8	no	—
318	C₄⋊C₄	—	2	8	no	—
319	C₄⋊C₄	—	2	4	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	2	2	no	—
323	C₄⋊C₄	C₂×D₄×C₄₃	1	4	yes	—
324	C₂²⋊C₄	—	2	4	no	—
325	C₂²⋊C₄	—	2	4	no	—
326	C₂²⋊C₄	—	4	4	no	—
327	C₂²⋊C₄	—	8	4	no	—
328	C₄²	—	2	8	no	—
329	C₄²	—	2	4	no	—
330	C₄²	—	2	8	no	—
331	C₄²	—	2	2	no	—
332	C₄²	C₂×D₄×C₄₃	1	4	yes	—
333	C₂³	—	2	1	no	—
334	C₂³	—	2	1	no	—
335	C₂³	—	2	4	no	—
336	C₂³	—	4	2	no	—
337	C₂³	—	4	2	no	—
338	C₂³	—	4	2	no	—
339	C₂³	—	4	4	no	—
340	C₂³	—	4	4	no	—
341	C₂³	#121×C₄₃	1	2	yes	—
342	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
343	Q₈	—	2	16	no	—
344	Q₈	—	2	4	no	—
345	Q₈	—	2	4	no	—
346	Q₈	—	2	4	no	—
347	Q₈	#121×C₄₃	1	8	yes	—
348	D₄	—	4	4	no	—
349	D₄	—	4	4	no	—
350	D₄	—	8	8	no	—
351	D₄	—	8	8	no	—
352	C₂×C₄	—	2	16	no	—
353	C₂×C₄	—	2	4	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	4	no	—
356	C₂×C₄	—	2	4	no	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	4	no	—
359	C₂×C₄	—	2	4	no	—
360	C₂×C₄	—	2	4	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	2	4	no	—
363	C₂×C₄	—	2	4	no	—
364	C₂×C₄	—	4	4	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	4	4	no	—
367	C₂×C₄	#120×C₄₃	1	4	yes	—
368	C₂×C₄	#121×C₄₃	1	2	yes	—
369	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
370	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
371	C₂×C₄	C₂×#41×C₄₃	1	2	yes	—
372	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
373	C₈	—	4	4	no	—
374	C₂²	—	2	2	no	—
375	C₂²	—	2	4	no	—
376	C₂²	—	4	2	no	—
377	C₂²	—	4	2	no	—
378	C₂²	—	8	2	no	—
379	C₂²	—	8	4	no	—
380	C₂²	—	8	4	no	—
381	C₂²	—	8	2	no	—
382	C₂²	—	8	2	no	—
383	C₂²	C₂×#120×C₄₃	1	1	yes	characteristic
384	C₂²	C₂×#121×C₄₃	1	1	yes	characteristic
385	C₂²	C₄₃×#525	1	1	yes	characteristic
386	C₂²	C₄₃×#577	1	4	yes	—
387	C₄	—	2	8	no	—
388	C₄	—	2	2	no	—
389	C₄	—	2	4	no	—
390	C₄	—	4	2	no	—
391	C₄	—	4	4	no	—
392	C₄	—	8	2	no	—
393	C₄	C₂×#121×C₄₃	1	2	yes	—
394	C₄	C₄₃×#525	1	2	yes	—
395	C₂	—	4	2	no	—
396	C₂	—	16	2	no	—
397	C₂	C₄₃×#2847	1	1	yes	characteristic
398	C₂	C₄₃×#3010	1	2	yes	—
399	C₂	C₄₃×#3043	1	2	yes	—
400	C₂	C₄₃×#3126	1	2	yes	—

	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
1. C₂×C₄₃×#519	C₂	semidirect
2. C₂×C₄₃×#460	C₂	semidirect
3. C₂×C₄₃×#448	C₂	semidirect
5. C₄₃×#1880	C₂	semidirect
6. C₄₃×#1875	C₂	semidirect
7. C₄₃×#1805	C₂	semidirect
8. C₄₃×#1798	C₂	semidirect
36. C₂²×Q₈×C₄₃	D₄	semidirect
54. C₄×Q₈×C₄₃	D₄	semidirect
173. #32912	C₄₃	direct (N × H)
195. C₂×#519	C₂×C₄₃	semidirect
196. C₂×#460	C₂×C₄₃	semidirect
197. C₂×#448	C₂×C₄₃	semidirect
199. #1880	C₂×C₄₃	semidirect
200. #1875	C₂×C₄₃	semidirect
201. #1805	C₂×C₄₃	semidirect
202. #1798	C₂×C₄₃	semidirect
232. C₄₃	#32912	direct (N × H)
237. C₂²×Q₈	D₄×C₄₃	semidirect
255. C₄×Q₈	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×#519	2
C₂×C₄₃×#460	2
C₂×C₄₃×#448	2
C₄₃×#2619	2
C₄₃×#1880	2
C₄₃×#1875	2
C₄₃×#1805	2
C₄₃×#1798	2
#32912	43

Subgroups — C43×#32912 #24952929

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#32912 #24952929