Subgroups — #25013956

Order 11008.

578 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583132	C₂	1	1	yes	maximal, characteristic
3	C₂×#14582700	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134621	C₂	1	1	yes	maximal, characteristic, complemented
5	#19132687	C₂	1	1	yes	maximal, characteristic, complemented
6	#19132686	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄₃×#357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
9	C₂×#13063296	—	2	1	no	—
10	C₂²×C₄₃⋊C₁₆	C₂²	1	1	yes	characteristic
11	C₂×C₁₆×D₄₃	—	2	2	no	—
12	C₂×C₁₆×D₄₃	—	2	2	no	—
13	C₂×C₁₆×D₄₃	—	2	2	no	—
14	#14583132	—	2	2	no	—
15	#14583132	C₄	1	4	yes	complemented
16	C₂×#13063259	C₂²	1	1	yes	characteristic
17	C₂×#13063259	C₂²	1	1	yes	characteristic
18	C₂×#13063246	—	2	1	no	—
19	#14582756	—	2	1	no	—
20	#14582700	—	2	2	no	—
21	#14582661	—	2	1	no	—
22	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
23	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
24	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic
25	C₄₃×#357	—	2	2	no	—
26	C₂²×C₂²⋊D₄₃	—	4	1	no	—
27	C₂²×C₄×D₄₃	D₄	1	1	yes	characteristic
28	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
29	C₂×C₈×D₄₃	—	2	1	no	—
30	C₂×C₈×D₄₃	—	2	1	no	—
31	C₂×C₈×D₄₃	—	2	1	no	—
32	C₂×C₈×D₄₃	—	2	1	no	—
33	C₂×C₈×D₄₃	C₂×C₄	1	2	yes	—
34	C₂×C₈×D₄₃	D₄	1	2	yes	—
35	#13063296	—	2	4	no	—
36	#13063296	—	4	2	no	—
37	C₂×C₄⋊Dic₄₃	—	2	1	no	—
38	C₂×C₄⋊Dic₄₃	—	2	1	no	—
39	C₂×C₂²⋊Dic₄₃	—	4	1	no	—
40	C₂×(C₂×D₄₃)⋊C₄	—	4	1	no	—
41	C₂×C₄₃⋊C₁₆	—	2	1	no	—
42	C₂×C₄₃⋊C₁₆	—	2	1	no	—
43	C₂×C₄₃⋊C₁₆	D₄	1	2	yes	complemented
44	C₁₆×D₄₃	—	2	8	no	—
45	#13063259	—	2	1	no	—
46	#13063259	—	2	1	no	—
47	#13063259	—	2	1	no	—
48	#13063259	C₂×C₄	1	2	yes	—
49	#13063246	—	2	4	no	—
50	C₄₃⋊#95	—	4	1	no	—
51	C₂²×D₄×C₄₃	—	2	1	no	—
52	C₂×D₈×C₄₃	—	2	1	no	—
53	C₂×D₈×C₄₃	—	2	1	no	—
54	C₂×D₈×C₄₃	—	2	1	no	—
55	C₂×D₈×C₄₃	—	2	1	no	—
56	C₂×D₈×C₄₃	—	2	1	no	—
57	C₂×D₈×C₄₃	C₂×C₄	1	2	yes	—
58	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
59	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
60	C₂×C₁₆×C₄₃	—	2	1	no	—
61	C₂×C₁₆×C₄₃	—	2	1	no	—
62	C₂×C₁₆×C₄₃	D₄	1	2	yes	complemented
63	#107×C₄₃	—	2	1	no	—
64	#107×C₄₃	—	2	1	no	—
65	C₂⁴×C₄₃	—	4	1	no	—
66	C₂³×D₄₃	D₈	1	1	yes	characteristic
67	C₂×D₄×C₄₃	—	2	2	no	—
68	C₂×D₄×C₄₃	—	4	1	no	—
69	C₂×D₄×C₄₃	—	4	1	no	—
70	C₂×D₄×C₄₃	—	4	1	no	—
71	C₂×D₄×C₄₃	—	4	1	no	—
72	C₂×D₄×C₄₃	—	4	1	no	—
73	C₂²×C₄×C₄₃	—	4	1	no	—
74	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
75	C₂×C₂²⋊D₄₃	—	4	4	no	—
76	C₂×C₂²⋊D₄₃	—	8	2	no	—
77	C₂×C₂²⋊D₄₃	—	8	2	no	—
78	C₂²×Dic₄₃	—	4	1	no	—
79	C₂²×Dic₄₃	—	4	1	no	—
80	C₂²×Dic₄₃	D₈	1	1	yes	characteristic
81	C₂×C₄×D₄₃	—	2	1	no	—
82	C₂×C₄×D₄₃	—	2	1	no	—
83	C₂×C₄×D₄₃	—	2	1	no	—
84	C₂×C₄×D₄₃	—	2	1	no	—
85	C₂×C₄×D₄₃	C₂²⋊C₄	1	2	yes	—
86	C₂×C₄×D₄₃	SD₁₆	1	2	yes	—
87	D₈×C₄₃	—	2	2	no	—
88	D₈×C₄₃	—	2	2	no	—
89	D₈×C₄₃	—	4	1	no	—
90	D₈×C₄₃	—	4	1	no	—
91	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
93	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
94	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
95	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
96	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
97	C₄⋊C₄×C₄₃	—	4	1	no	—
98	C₄⋊C₄×C₄₃	—	4	1	no	—
99	C₂²⋊Dic₄₃	—	4	4	no	—
100	(C₂×D₄₃)⋊C₄	—	8	2	no	—
101	C₄⋊Dic₄₃	—	2	2	no	—
102	C₄⋊Dic₄₃	—	4	1	no	—
103	C₄⋊Dic₄₃	—	4	1	no	—
104	C₄⋊Dic₄₃	—	4	1	no	—
105	C₂×C₄₃⋊C₈	—	2	1	no	—
106	C₂×C₄₃⋊C₈	—	2	1	no	—
107	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	2	yes	—
108	C₈×D₄₃	—	2	2	no	—
109	C₈×D₄₃	—	2	2	no	—
110	C₈×D₄₃	—	2	2	no	—
111	C₈×D₄₃	—	2	2	no	—
112	C₁₆×C₄₃	—	2	2	no	—
113	C₄₃⋊C₁₆	—	2	2	no	—
114	C₂³×C₄₃	—	4	2	no	—
115	C₂³×C₄₃	—	8	1	no	—
116	C₂³×C₄₃	—	8	1	no	—
117	C₂³×C₄₃	—	8	1	no	—
118	C₂³×C₄₃	—	8	1	no	—
119	C₂³×C₄₃	—	8	1	no	—
120	C₂³×C₄₃	—	8	1	no	—
121	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
122	C₂²×D₄₃	—	2	1	no	—
123	C₂²×D₄₃	—	2	1	no	—
124	C₂²×D₄₃	—	2	1	no	—
125	C₂²×D₄₃	—	2	1	no	—
126	C₂²×D₄₃	#102	1	2	yes	—
127	C₂²×D₄₃	D₁₆	1	2	yes	—
128	C₂²×D₄₃	SD₃₂	1	2	yes	—
129	D₄×C₄₃	—	4	2	no	—
130	D₄×C₄₃	—	4	2	no	—
131	D₄×C₄₃	—	8	1	no	—
132	D₄×C₄₃	—	8	1	no	—
133	C₂×C₄×C₄₃	—	8	1	no	—
134	C₂×C₄×C₄₃	—	8	1	no	—
135	C₂×C₄×C₄₃	—	8	1	no	—
136	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
137	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
138	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
139	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
140	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
141	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
142	C₂²⋊D₄₃	—	8	8	no	—
143	C₂×Dic₄₃	—	2	1	no	—
144	C₂×Dic₄₃	—	2	1	no	—
145	C₂×Dic₄₃	—	4	2	no	—
146	C₂×Dic₄₃	—	8	1	no	—
147	C₂×Dic₄₃	—	8	1	no	—
148	C₂×Dic₄₃	—	8	1	no	—
149	C₂×Dic₄₃	—	8	1	no	—
150	C₂×Dic₄₃	—	8	1	no	—
151	C₂×Dic₄₃	#102	1	2	yes	—
152	C₄×D₄₃	—	2	2	no	—
153	C₄×D₄₃	—	2	2	no	—
154	C₄×D₄₃	—	2	2	no	—
155	C₄×D₄₃	—	2	2	no	—
156	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
157	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
158	C₈×C₄₃	#120	1	1	yes	characteristic
159	C₈×C₄₃	#123	1	1	yes	characteristic
160	C₄₃⋊C₈	—	2	2	no	—
161	#13059	—	43	1	no	maximal, Sylow
162	C₂²×C₄₃	—	8	2	no	—
163	C₂²×C₄₃	—	8	2	no	—
164	C₂²×C₄₃	—	8	2	no	—
165	C₂²×C₄₃	—	16	1	no	—
166	C₂²×C₄₃	—	16	1	no	—
167	C₂²×C₄₃	—	16	1	no	—
168	C₂²×C₄₃	—	16	1	no	—
169	C₂²×C₄₃	C₂×#102	1	1	yes	characteristic
170	C₂²×C₄₃	#466	1	1	yes	characteristic
171	C₂²×C₄₃	#466	1	1	yes	characteristic
172	C₂²×C₄₃	C₂×D₁₆	1	1	yes	characteristic
173	C₂²×C₄₃	C₂×SD₃₂	1	1	yes	characteristic
174	C₂²×C₄₃	#508	1	1	yes	characteristic
175	C₂²×C₄₃	#508	1	1	yes	characteristic
176	C₂×D₄₃	—	2	2	no	—
177	C₂×D₄₃	—	2	2	no	—
178	C₂×D₄₃	—	2	2	no	—
179	C₂×D₄₃	—	2	2	no	—
180	C₂×D₄₃	—	2	2	no	—
181	C₂×D₄₃	—	2	2	no	—
182	C₂×D₄₃	#357	1	4	yes	complemented
183	C₄×C₄₃	—	16	1	no	—
184	C₄×C₄₃	#386	1	1	yes	characteristic
185	C₄×C₄₃	#416	1	1	yes	characteristic
186	C₄×C₄₃	#465	1	1	yes	characteristic
187	C₄×C₄₃	#465	1	1	yes	characteristic
188	Dic₄₃	—	2	2	no	—
189	Dic₄₃	—	8	2	no	—
190	Dic₄₃	—	16	1	no	—
191	C₂³×C₁₆	—	43	1	no	—
192	C₂×#466	—	43	1	no	—
193	C₂×#357	—	43	1	no	—
194	C₂×#357	D₄₃	1	1	yes	characteristic, complemented
195	#1808	—	43	1	no	—
196	#1380	—	43	1	no	—
197	#1380	—	43	1	no	—
198	C₂×C₄₃	—	16	2	no	—
199	C₂×C₄₃	#1893	1	1	yes	characteristic
200	C₂×C₄₃	C₂×#357	1	1	yes	characteristic
201	C₂×C₄₃	#2138	1	1	yes	characteristic
202	C₂×C₄₃	#2215	1	1	yes	characteristic
203	C₂×C₄₃	#2215	1	1	yes	characteristic
204	C₂×C₄₃	#2217	1	1	yes	characteristic
205	C₂×C₄₃	#2217	1	1	yes	characteristic
206	D₄₃	—	2	4	no	—
207	C₂²×D₈	C₂×D₄₃	1	1	yes	characteristic
208	C₂³×C₈	—	43	1	no	—
209	C₂×#121	—	86	1	no	—
210	C₂²×C₁₆	—	43	1	no	—
211	C₂²×C₁₆	—	86	2	no	—
212	C₂²×C₁₆	—	86	2	no	—
213	C₂²×C₁₆	—	86	2	no	—
214	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic
215	#466	—	43	4	no	—
216	#466	—	86	2	no	—
217	C₂×#107	—	43	1	no	—
218	C₂×#107	—	43	1	no	—
219	C₂×#107	C₂×D₄₃	1	1	yes	characteristic
220	C₂×#102	—	86	1	no	—
221	#380	—	86	1	no	—
222	#357	—	2	2	no	—
223	#357	—	86	2	no	—
224	#340	—	86	1	no	—
225	C₄₃	#13059	1	1	yes	characteristic, complemented, Sylow
226	C₂²×D₄	—	2	1	no	—
227	C₂²×D₄	—	172	1	no	—
228	C₂³×C₄	—	43	1	no	—
229	C₂×D₈	—	2	1	no	—
230	C₂×D₈	—	2	1	no	—
231	C₂×D₈	—	2	1	no	—
232	C₂×D₈	—	2	1	no	—
233	C₂×D₈	—	2	1	no	—
234	C₂×D₈	C₄×D₄₃	1	2	yes	—
235	C₂²×C₈	—	43	1	no	—
236	C₂²×C₈	—	43	2	no	—
237	C₂²×C₈	—	43	2	no	—
238	C₂²×C₈	—	86	1	no	—
239	C₂²×C₈	—	86	1	no	—
240	C₂²×C₈	—	86	1	no	—
241	C₂²×C₈	—	86	1	no	—
242	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
243	#121	—	86	4	no	—
244	#121	—	172	2	no	—
245	C₂×C₄⋊C₄	—	2	1	no	—
246	C₂×C₄⋊C₄	—	86	1	no	—
247	C₂×C₄⋊C₄	—	86	1	no	—
248	C₂×C₂²⋊C₄	—	172	1	no	—
249	C₂×C₂²⋊C₄	—	172	1	no	—
250	C₂×C₁₆	—	2	1	no	—
251	C₂×C₁₆	—	2	1	no	—
252	C₂×C₁₆	—	43	2	no	—
253	C₂×C₁₆	—	86	8	no	—
254	C₂×C₁₆	—	86	1	no	—
255	C₂×C₁₆	—	86	1	no	—
256	C₂×C₁₆	C₂²⋊D₄₃	1	2	yes	complemented
257	#107	—	2	1	no	—
258	#107	—	2	1	no	—
259	#107	—	43	2	no	—
260	#107	—	86	1	no	—
261	#107	—	86	1	no	—
262	#107	—	86	1	no	—
263	#102	—	86	4	no	—
264	#95	—	172	1	no	—
265	C₂⁴	—	4	1	no	—
266	C₂⁴	—	43	1	no	—
267	C₂×D₄	—	2	2	no	—
268	C₂×D₄	—	4	1	no	—
269	C₂×D₄	—	4	1	no	—
270	C₂×D₄	—	4	1	no	—
271	C₂×D₄	—	4	1	no	—
272	C₂×D₄	—	4	1	no	—
273	C₂×D₄	—	344	2	no	—
274	C₂×D₄	—	344	2	no	—
275	C₂×D₄	—	172	4	no	—
276	C₂²×C₄	—	4	1	no	—
277	C₂²×C₄	—	43	1	no	—
278	C₂²×C₄	—	43	2	no	—
279	C₂²×C₄	—	43	2	no	—
280	C₂²×C₄	—	86	1	no	—
281	C₂²×C₄	—	86	1	no	—
282	C₂²×C₄	—	86	1	no	—
283	C₂²×C₄	—	86	1	no	—
284	C₂²×C₄	—	172	1	no	—
285	C₂²×C₄	—	172	1	no	—
286	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
287	D₈	—	2	2	no	—
288	D₈	—	2	2	no	—
289	D₈	—	4	1	no	—
290	D₈	—	4	1	no	—
291	C₂×C₈	—	43	2	no	—
292	C₂×C₈	—	86	1	no	—
293	C₂×C₈	—	86	1	no	—
294	C₂×C₈	—	86	2	no	—
295	C₂×C₈	—	86	2	no	—
296	C₂×C₈	—	86	2	no	—
297	C₂×C₈	—	86	2	no	—
298	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
299	C₂×C₈	#10621898	1	1	yes	characteristic
300	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
301	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
302	C₂×C₈	#10621900	1	1	yes	characteristic
303	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
304	C₄⋊C₄	—	4	1	no	—
305	C₄⋊C₄	—	4	1	no	—
306	C₄⋊C₄	—	86	2	no	—
307	C₄⋊C₄	—	172	1	no	—
308	C₄⋊C₄	—	172	1	no	—
309	C₄⋊C₄	—	172	1	no	—
310	C₂²⋊C₄	—	344	2	no	—
311	C₂²⋊C₄	—	172	4	no	—
312	C₁₆	—	2	2	no	—
313	C₁₆	—	86	2	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	8	1	no	—
316	C₂³	—	8	1	no	—
317	C₂³	—	8	1	no	—
318	C₂³	—	8	1	no	—
319	C₂³	—	8	1	no	—
320	C₂³	—	8	1	no	—
321	C₂³	—	43	2	no	—
322	C₂³	—	43	2	no	—
323	C₂³	—	43	2	no	—
324	C₂³	—	86	1	no	—
325	C₂³	—	86	1	no	—
326	C₂³	—	86	1	no	—
327	C₂³	—	86	1	no	—
328	C₂³	D₈×D₄₃	1	1	yes	characteristic
329	D₄	—	4	2	no	—
330	D₄	—	4	2	no	—
331	D₄	—	8	1	no	—
332	D₄	—	8	1	no	—
333	D₄	—	344	8	no	—
334	C₂×C₄	—	8	1	no	—
335	C₂×C₄	—	8	1	no	—
336	C₂×C₄	—	8	1	no	—
337	C₂×C₄	—	43	2	no	—
338	C₂×C₄	—	86	1	no	—
339	C₂×C₄	—	86	1	no	—
340	C₂×C₄	—	86	2	no	—
341	C₂×C₄	—	86	2	no	—
342	C₂×C₄	—	86	2	no	—
343	C₂×C₄	—	86	2	no	—
344	C₂×C₄	—	344	1	no	—
345	C₂×C₄	—	344	1	no	—
346	C₂×C₄	—	344	1	no	—
347	C₂×C₄	—	344	1	no	—
348	C₂×C₄	—	344	1	no	—
349	C₂×C₄	—	172	2	no	—
350	C₂×C₄	C₂²⋊C₄×D₄₃	1	1	yes	characteristic
351	C₂×C₄	#13063296	1	1	yes	characteristic
352	C₂×C₄	#13063298	1	1	yes	characteristic
353	C₂×C₄	SD₁₆×D₄₃	1	1	yes	characteristic
354	C₂×C₄	#13063344	1	1	yes	characteristic
355	C₂×C₄	#13063346	1	1	yes	characteristic
356	C₈	—	86	2	no	—
357	C₈	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
358	C₈	C₄×C₂²⋊D₄₃	1	1	yes	characteristic
359	C₈	#13063293	1	1	yes	characteristic
360	C₈	#13063307	1	1	yes	characteristic
361	C₂²	—	8	2	no	—
362	C₂²	—	8	2	no	—
363	C₂²	—	8	2	no	—
364	C₂²	—	16	1	no	—
365	C₂²	—	16	1	no	—
366	C₂²	—	16	1	no	—
367	C₂²	—	16	1	no	—
368	C₂²	—	43	4	no	—
369	C₂²	—	86	2	no	—
370	C₂²	—	86	2	no	—
371	C₂²	—	86	2	no	—
372	C₂²	—	86	2	no	—
373	C₂²	—	86	2	no	—
374	C₂²	—	86	2	no	—
375	C₂²	#102×D₄₃	1	1	yes	characteristic
376	C₂²	#14583132	1	1	yes	characteristic
377	C₂²	#14583134	1	1	yes	characteristic
378	C₂²	D₁₆×D₄₃	1	1	yes	characteristic
379	C₂²	SD₃₂×D₄₃	1	1	yes	characteristic
380	C₂²	#14583328	1	1	yes	characteristic
381	C₂²	#14583330	1	1	yes	characteristic
382	C₄	—	16	1	no	—
383	C₄	—	86	2	no	—
384	C₄	—	344	2	no	—
385	C₄	—	688	1	no	—
386	C₄	#14582775	1	1	yes	characteristic
387	C₄	#14582892	1	1	yes	characteristic
388	C₄	#14583125	1	1	yes	characteristic
389	C₄	#14583127	1	1	yes	characteristic
390	C₂	—	16	2	no	—
391	C₂	—	86	4	no	—
392	C₂	#19135020	1	1	yes	characteristic
393	C₂	#357×D₄₃	1	1	yes	characteristic
394	C₂	#19136299	1	1	yes	characteristic
395	C₂	#19136678	1	1	yes	characteristic
396	C₂	#19136680	1	1	yes	characteristic
397	C₂	#19136688	1	1	yes	characteristic
398	C₂	#19136690	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	D₈×D₄₃
commutator	C₂×C₈×C₄₃	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₄₃
Fitting	C₂×C₄₃×#357	C₂
socle	C₂³×C₄₃	C₂×D₈
prime radical	C₂×#14583132	C₂
cosocle	C₂²×C₈×C₄₃	C₂³
hypercenter	C₂×#357	D₄₃
hypocenter	C₄₃	#13059
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#357

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₆×D₄₃	C₂	semidirect
3. C₂×#14582700	C₂	semidirect
4. #19134621	C₂	semidirect
5. #19132687	C₂	semidirect
6. #19132686	C₂	semidirect
7. C₂×C₄₃×#357	C₂	semidirect
15. #14583132	C₄	semidirect
43. C₂×C₄₃⋊C₁₆	D₄	semidirect
62. C₂×C₁₆×C₄₃	D₄	semidirect
182. C₂×D₄₃	#357	semidirect
194. C₂×#357	D₄₃	semidirect
225. C₄₃	#13059	semidirect
256. C₂×C₁₆	C₂²⋊D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₁₆×D₄₃	2
C₂×#14583132	2
C₂×#14582700	2
#19134621	2
#19132687	2
#19132686	2
C₂×C₄₃×#357	2
#13059	43