Subgroups — C₄₃×#8581 #24928598

Order 11008.

540 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#124×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#1767	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₃×#1767	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄₃×#329	C₂	1	2	yes	maximal
5	C₄₃×#1295	C₂	1	2	yes	maximal, complemented
6	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic
7	C₂×C₄×Q₈×C₄₃	C₄	1	1	yes	characteristic
8	C₂×C₄×D₄×C₄₃	C₄	1	1	yes	characteristic
9	C₂×C₄⋊C₈×C₄₃	—	2	1	no	—
10	C₂×C₄⋊C₈×C₄₃	—	2	1	no	—
11	C₂×#97×C₄₃	C₂²	1	2	yes	—
12	C₂×#97×C₄₃	C₂²	1	2	yes	—
13	C₄₃×#391	C₄	1	1	yes	characteristic
14	C₄₃×#390	C₄	1	1	yes	characteristic
15	C₄₃×#388	—	2	1	no	—
16	C₄₃×#388	—	2	1	no	—
17	C₄₃×#382	C₂²	1	1	yes	characteristic
18	C₄×C₂²⋊C₄×C₄₃	—	2	1	no	—
19	C₄×C₂²⋊C₄×C₄₃	—	2	1	no	—
20	C₄³×C₄₃	C₂²	1	1	yes	characteristic
21	C₄₃×#336	—	2	1	no	—
22	C₄₃×#336	—	2	1	no	—
23	C₄₃×#329	—	2	4	no	—
24	C₂²×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
25	C₂²×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
26	C₂³×C₄×C₄₃	—	2	1	no	—
27	C₂²×C₈×C₄₃	—	2	2	no	—
28	C₂²×C₈×C₄₃	—	2	2	no	—
29	#124×C₄₃	—	2	1	no	—
30	#124×C₄₃	—	2	1	no	—
31	#124×C₄₃	D₄	1	2	yes	—
32	#124×C₄₃	Q₈	1	2	yes	—
33	C₄×Q₈×C₄₃	—	4	2	no	—
34	C₄×D₄×C₄₃	—	4	2	no	—
35	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
36	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
38	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
39	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
40	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
41	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
42	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
43	C₂×C₄²×C₄₃	—	2	1	no	—
44	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
47	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
48	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
49	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
50	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
51	C₄⋊C₈×C₄₃	—	2	4	no	—
52	C₄⋊C₈×C₄₃	—	2	4	no	—
53	#97×C₄₃	—	2	2	no	—
54	#97×C₄₃	—	2	2	no	—
55	#97×C₄₃	—	2	2	no	—
56	#97×C₄₃	—	2	2	no	—
57	#95×C₄₃	—	2	1	no	—
58	#95×C₄₃	—	2	1	no	—
59	#95×C₄₃	—	2	1	no	—
60	#95×C₄₃	—	2	1	no	—
61	C₂⁴×C₄₃	—	2	1	no	—
62	C₂×Q₈×C₄₃	—	2	1	no	—
63	C₂×Q₈×C₄₃	—	4	1	no	—
64	C₂×Q₈×C₄₃	—	4	1	no	—
65	C₂×Q₈×C₄₃	C₄⋊C₄	1	2	yes	—
66	C₂×D₄×C₄₃	—	2	1	no	—
67	C₂×D₄×C₄₃	—	4	1	no	—
68	C₂×D₄×C₄₃	—	4	1	no	—
69	C₂×D₄×C₄₃	C₄⋊C₄	1	2	yes	—
70	C₂²×C₄×C₄₃	—	2	1	no	—
71	C₂²×C₄×C₄₃	—	2	1	no	—
72	C₂²×C₄×C₄₃	—	2	1	no	—
73	C₂²×C₄×C₄₃	—	4	2	no	—
74	C₂²×C₄×C₄₃	—	4	2	no	—
75	C₂²×C₄×C₄₃	—	4	2	no	—
76	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
77	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
78	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
79	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
80	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
81	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
83	C₂×C₈×C₄₃	—	2	4	no	—
84	C₂×C₈×C₄₃	—	2	4	no	—
85	C₂×C₈×C₄₃	—	4	2	no	—
86	C₂×C₈×C₄₃	—	4	2	no	—
87	C₂×C₈×C₄₃	—	4	2	no	—
88	C₂×C₈×C₄₃	—	4	2	no	—
89	C₄⋊C₄×C₄₃	—	4	1	no	—
90	C₄⋊C₄×C₄₃	—	4	1	no	—
91	C₄⋊C₄×C₄₃	—	4	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	—	2	2	no	—
96	C₂²⋊C₄×C₄₃	—	4	2	no	—
97	C₂²⋊C₄×C₄₃	—	4	2	no	—
98	C₂²⋊C₄×C₄₃	—	4	2	no	—
99	C₄²×C₄₃	—	2	2	no	—
100	C₄²×C₄₃	—	2	2	no	—
101	C₄²×C₄₃	—	2	2	no	—
102	C₄²×C₄₃	—	4	1	no	—
103	C₄²×C₄₃	—	4	1	no	—
104	C₄²×C₄₃	—	4	1	no	—
105	C₄²×C₄₃	—	4	2	no	—
106	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
107	C₄²×C₄₃	C₂×Q₈	1	1	yes	characteristic
108	C₄²×C₄₃	#41	1	1	yes	characteristic
109	C₄²×C₄₃	#41	1	1	yes	characteristic
110	C₂³×C₄₃	—	2	2	no	—
111	C₂³×C₄₃	—	4	1	no	—
112	C₂³×C₄₃	—	4	1	no	—
113	C₂³×C₄₃	—	4	1	no	—
114	C₂³×C₄₃	—	4	1	no	—
115	C₂³×C₄₃	—	4	1	no	—
116	C₂³×C₄₃	—	4	1	no	—
117	C₂³×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
118	Q₈×C₄₃	—	4	2	no	—
119	Q₈×C₄₃	—	4	2	no	—
120	D₄×C₄₃	—	4	2	no	—
121	D₄×C₄₃	—	4	2	no	—
122	C₂×C₄×C₄₃	—	2	1	no	—
123	C₂×C₄×C₄₃	—	2	1	no	—
124	C₂×C₄×C₄₃	—	2	1	no	—
125	C₂×C₄×C₄₃	—	2	1	no	—
126	C₂×C₄×C₄₃	—	2	1	no	—
127	C₂×C₄×C₄₃	—	2	1	no	—
128	C₂×C₄×C₄₃	—	2	1	no	—
129	C₂×C₄×C₄₃	—	2	1	no	—
130	C₂×C₄×C₄₃	—	2	1	no	—
131	C₂×C₄×C₄₃	—	2	1	no	—
132	C₂×C₄×C₄₃	—	2	1	no	—
133	C₂×C₄×C₄₃	—	2	1	no	—
134	C₂×C₄×C₄₃	—	2	2	no	—
135	C₂×C₄×C₄₃	—	2	1	no	—
136	C₂×C₄×C₄₃	—	2	1	no	—
137	C₂×C₄×C₄₃	—	2	1	no	—
138	C₂×C₄×C₄₃	—	4	1	no	—
139	C₂×C₄×C₄₃	—	4	1	no	—
140	C₂×C₄×C₄₃	—	4	1	no	—
141	C₂×C₄×C₄₃	—	4	1	no	—
142	C₂×C₄×C₄₃	—	4	1	no	—
143	C₂×C₄×C₄₃	—	4	1	no	—
144	C₂×C₄×C₄₃	—	4	1	no	—
145	C₂×C₄×C₄₃	—	4	1	no	—
146	C₂×C₄×C₄₃	—	8	4	no	—
147	C₂×C₄×C₄₃	#100	1	2	yes	—
148	C₂×C₄×C₄₃	#104	1	2	yes	—
149	C₂×C₄×C₄₃	#104	1	2	yes	—
150	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
151	C₂×C₄×C₄₃	#117	1	1	yes	characteristic
152	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
153	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
154	C₂×C₄×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
155	C₂×C₄×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
156	C₈×C₄₃	—	4	4	no	—
157	C₈×C₄₃	—	4	4	no	—
158	#8581	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
159	C₂²×C₄₃	—	4	2	no	—
160	C₂²×C₄₃	—	4	2	no	—
161	C₂²×C₄₃	—	4	2	no	—
162	C₂²×C₄₃	—	8	1	no	—
163	C₂²×C₄₃	—	8	1	no	—
164	C₂²×C₄₃	—	8	1	no	—
165	C₂²×C₄₃	—	8	1	no	—
166	C₂²×C₄₃	#380	1	1	yes	characteristic
167	C₂²×C₄₃	C₂×#100	1	1	yes	characteristic
168	C₂²×C₄₃	#413	1	1	yes	characteristic
169	C₂²×C₄₃	C₂×#104	1	1	yes	characteristic
170	C₂²×C₄₃	C₂×#104	1	1	yes	characteristic
171	C₂²×C₄₃	#421	1	1	yes	characteristic
172	C₂²×C₄₃	#421	1	1	yes	characteristic
173	C₄×C₄₃	—	2	1	no	—
174	C₄×C₄₃	—	2	1	no	—
175	C₄×C₄₃	—	2	1	no	—
176	C₄×C₄₃	—	2	1	no	—
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	—	2	1	no	—
179	C₄×C₄₃	—	2	2	no	—
180	C₄×C₄₃	—	2	2	no	—
181	C₄×C₄₃	—	2	2	no	—
182	C₄×C₄₃	—	4	2	no	—
183	C₄×C₄₃	—	4	1	no	—
184	C₄×C₄₃	—	8	1	no	—
185	C₄×C₄₃	—	8	1	no	—
186	C₄×#124	C₂×C₄₃	1	1	yes	characteristic
187	#1767	C₂×C₄₃	1	1	yes	characteristic, complemented
188	#1767	C₂×C₄₃	1	1	yes	characteristic, complemented
189	C₂×#329	C₂×C₄₃	1	2	yes	—
190	#1295	C₂×C₄₃	1	2	yes	complemented
191	C₂×C₄₃	—	8	2	no	—
192	C₂×C₄₃	#1524	1	1	yes	characteristic
193	C₂×C₄₃	#1527	1	1	yes	characteristic
194	C₂×C₄₃	#1530	1	1	yes	characteristic
195	C₂×C₄₃	#1535	1	1	yes	characteristic
196	C₂×C₄₃	#1800	1	1	yes	characteristic
197	C₂×C₄₃	#1806	1	1	yes	characteristic
198	C₂×C₄₃	#1806	1	1	yes	characteristic
199	C₂×#124	C₂²×C₄₃	1	1	yes	characteristic
200	C₂×C₄×Q₈	C₄×C₄₃	1	1	yes	characteristic
201	C₂×C₄×D₄	C₄×C₄₃	1	1	yes	characteristic
202	C₂×C₄⋊C₈	—	2	1	no	—
203	C₂×C₄⋊C₈	—	2	1	no	—
204	C₂×#97	C₂²×C₄₃	1	2	yes	—
205	C₂×#97	C₂²×C₄₃	1	2	yes	—
206	#391	C₄×C₄₃	1	1	yes	characteristic
207	#390	C₄×C₄₃	1	1	yes	characteristic
208	#388	—	2	1	no	—
209	#388	—	2	1	no	—
210	#382	C₂²×C₄₃	1	1	yes	characteristic
211	C₄×C₂²⋊C₄	—	2	1	no	—
212	C₄×C₂²⋊C₄	—	2	1	no	—
213	C₄³	C₂²×C₄₃	1	1	yes	characteristic
214	#336	—	2	1	no	—
215	#336	—	2	1	no	—
216	#329	—	2	4	no	—
217	C₄₃	#8581	1	1	yes	characteristic, direct product factor, Sylow
218	C₂²×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
219	C₂²×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
220	C₂³×C₄	—	2	1	no	—
221	C₂²×C₈	—	2	2	no	—
222	C₂²×C₈	—	2	2	no	—
223	#124	—	2	1	no	—
224	#124	—	2	1	no	—
225	#124	D₄×C₄₃	1	2	yes	—
226	#124	Q₈×C₄₃	1	2	yes	—
227	C₄×Q₈	—	4	2	no	—
228	C₄×D₄	—	4	2	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
231	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
232	C₂×C₂²⋊C₄	—	2	1	no	—
233	C₂×C₂²⋊C₄	—	2	1	no	—
234	C₂×C₂²⋊C₄	—	2	1	no	—
235	C₂×C₂²⋊C₄	—	2	1	no	—
236	C₂×C₂²⋊C₄	—	2	1	no	—
237	C₂×C₄²	—	2	1	no	—
238	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
239	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
240	C₂×C₄²	D₄×C₄₃	1	1	yes	characteristic
241	C₂×C₄²	D₄×C₄₃	1	1	yes	characteristic
242	C₂×C₄²	D₄×C₄₃	1	1	yes	characteristic
243	C₂×C₄²	D₄×C₄₃	1	1	yes	characteristic
244	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
245	C₄⋊C₈	—	2	4	no	—
246	C₄⋊C₈	—	2	4	no	—
247	#97	—	2	2	no	—
248	#97	—	2	2	no	—
249	#97	—	2	2	no	—
250	#97	—	2	2	no	—
251	#95	—	2	1	no	—
252	#95	—	2	1	no	—
253	#95	—	2	1	no	—
254	#95	—	2	1	no	—
255	C₂⁴	—	2	1	no	—
256	C₂×Q₈	—	2	1	no	—
257	C₂×Q₈	—	4	1	no	—
258	C₂×Q₈	—	4	1	no	—
259	C₂×Q₈	C₄⋊C₄×C₄₃	1	2	yes	—
260	C₂×D₄	—	2	1	no	—
261	C₂×D₄	—	4	1	no	—
262	C₂×D₄	—	4	1	no	—
263	C₂×D₄	C₄⋊C₄×C₄₃	1	2	yes	—
264	C₂²×C₄	—	2	1	no	—
265	C₂²×C₄	—	2	1	no	—
266	C₂²×C₄	—	2	1	no	—
267	C₂²×C₄	—	4	2	no	—
268	C₂²×C₄	—	4	2	no	—
269	C₂²×C₄	—	4	2	no	—
270	C₂²×C₄	C₂²⋊C₄×C₄₃	1	1	yes	characteristic
271	C₂²×C₄	C₂²⋊C₄×C₄₃	1	1	yes	characteristic
272	C₂²×C₄	C₂²⋊C₄×C₄₃	1	1	yes	characteristic
273	C₂²×C₄	C₂²⋊C₄×C₄₃	1	1	yes	characteristic
274	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
275	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
276	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
277	C₂×C₈	—	2	4	no	—
278	C₂×C₈	—	2	4	no	—
279	C₂×C₈	—	4	2	no	—
280	C₂×C₈	—	4	2	no	—
281	C₂×C₈	—	4	2	no	—
282	C₂×C₈	—	4	2	no	—
283	C₄⋊C₄	—	4	1	no	—
284	C₄⋊C₄	—	4	1	no	—
285	C₄⋊C₄	—	4	2	no	—
286	C₂²⋊C₄	—	2	2	no	—
287	C₂²⋊C₄	—	2	2	no	—
288	C₂²⋊C₄	—	2	2	no	—
289	C₂²⋊C₄	—	2	2	no	—
290	C₂²⋊C₄	—	4	2	no	—
291	C₂²⋊C₄	—	4	2	no	—
292	C₂²⋊C₄	—	4	2	no	—
293	C₄²	—	2	2	no	—
294	C₄²	—	2	2	no	—
295	C₄²	—	2	2	no	—
296	C₄²	—	4	1	no	—
297	C₄²	—	4	1	no	—
298	C₄²	—	4	1	no	—
299	C₄²	—	4	2	no	—
300	C₄²	C₂×D₄×C₄₃	1	1	yes	characteristic
301	C₄²	C₂×Q₈×C₄₃	1	1	yes	characteristic
302	C₄²	#41×C₄₃	1	1	yes	characteristic
303	C₄²	#41×C₄₃	1	1	yes	characteristic
304	C₂³	—	2	2	no	—
305	C₂³	—	4	1	no	—
306	C₂³	—	4	1	no	—
307	C₂³	—	4	1	no	—
308	C₂³	—	4	1	no	—
309	C₂³	—	4	1	no	—
310	C₂³	—	4	1	no	—
311	C₂³	C₂×C₂²⋊C₄×C₄₃	1	1	yes	characteristic
312	Q₈	—	4	2	no	—
313	Q₈	—	4	2	no	—
314	D₄	—	4	2	no	—
315	D₄	—	4	2	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	1	no	—
339	C₂×C₄	—	4	1	no	—
340	C₂×C₄	—	8	4	no	—
341	C₂×C₄	#100×C₄₃	1	2	yes	—
342	C₂×C₄	#104×C₄₃	1	2	yes	—
343	C₂×C₄	#104×C₄₃	1	2	yes	—
344	C₂×C₄	C₂×C₄⋊C₄×C₄₃	1	1	yes	characteristic
345	C₂×C₄	#117×C₄₃	1	1	yes	characteristic
346	C₂×C₄	#121×C₄₃	1	1	yes	characteristic
347	C₂×C₄	#121×C₄₃	1	1	yes	characteristic
348	C₂×C₄	C₂²⋊Q₈×C₄₃	1	1	yes	characteristic
349	C₂×C₄	C₂²⋊Q₈×C₄₃	1	1	yes	characteristic
350	C₈	—	4	4	no	—
351	C₈	—	4	4	no	—
352	C₂²	—	4	2	no	—
353	C₂²	—	4	2	no	—
354	C₂²	—	4	2	no	—
355	C₂²	—	8	1	no	—
356	C₂²	—	8	1	no	—
357	C₂²	—	8	1	no	—
358	C₂²	—	8	1	no	—
359	C₂²	C₄₃×#380	1	1	yes	characteristic
360	C₂²	C₂×#100×C₄₃	1	1	yes	characteristic
361	C₂²	C₄₃×#413	1	1	yes	characteristic
362	C₂²	C₂×#104×C₄₃	1	1	yes	characteristic
363	C₂²	C₂×#104×C₄₃	1	1	yes	characteristic
364	C₂²	C₄₃×#421	1	1	yes	characteristic
365	C₂²	C₄₃×#421	1	1	yes	characteristic
366	C₄	—	2	2	no	—
367	C₄	—	2	2	no	—
368	C₄	—	2	2	no	—
369	C₄	—	2	1	no	—
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	4	1	no	—
376	C₄	—	4	2	no	—
377	C₄	—	8	1	no	—
378	C₄	—	8	1	no	—
379	C₂	—	8	2	no	—
380	C₂	C₄₃×#1524	1	1	yes	characteristic
381	C₂	C₄₃×#1527	1	1	yes	characteristic
382	C₂	C₄₃×#1530	1	1	yes	characteristic
383	C₂	C₄₃×#1535	1	1	yes	characteristic
384	C₂	C₄₃×#1800	1	1	yes	characteristic
385	C₂	C₄₃×#1806	1	1	yes	characteristic
386	C₂	C₄₃×#1806	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂×C₂²⋊C₄
commutator	C₂²×C₄	C₂²×C₄×C₄₃
Frattini, cosocle	C₂×C₄²	C₂³×C₄₃
prime radical	C₂²×D₄×C₄₃	C₂×C₄
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₄³×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₃×#1767	C₂	semidirect
3. C₄₃×#1767	C₂	semidirect
5. C₄₃×#1295	C₂	semidirect
158. #8581	C₄₃	direct (N × H)
187. #1767	C₂×C₄₃	semidirect
188. #1767	C₂×C₄₃	semidirect
190. #1295	C₂×C₄₃	semidirect
217. C₄₃	#8581	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄×#124×C₄₃	2
C₄₃×#1767	2
C₂×C₄₃×#329	2
C₄₃×#1295	2
#8581	43

Subgroups — C43×#8581 #24928598

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#8581 #24928598