Subgroups — #25005516

Order 11008.

1254 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14582661	C₂	1	4	yes	maximal
2	C₂×#14582654	C₂	1	1	yes	maximal, characteristic
3	#19132825	C₂	1	1	yes	maximal, characteristic
4	C₂²×C₄⋊Q₈×C₄₃	C₂	1	1	yes	maximal, characteristic
5	C₂³×C₄₃⋊C₈	C₂²	1	2	yes	—
6	C₂²×C₄⋊Dic₄₃	C₂²	1	2	yes	—
7	C₂×C₄₃⋊#95	—	2	1	no	—
8	C₂×C₄₃⋊#95	—	2	1	no	—
9	#14582661	—	2	8	no	—
10	#14582654	—	2	2	no	—
11	C₂³×Q₈×C₄₃	—	2	1	no	—
12	C₂×C₄⋊Q₈×C₄₃	—	2	8	no	—
13	C₂×C₄⋊Q₈×C₄₃	—	2	2	no	—
14	C₂×C₄⋊Q₈×C₄₃	C₄	1	4	yes	complemented
15	C₂²×C₄⋊C₄×C₄₃	—	2	1	no	—
16	C₂²×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
17	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
18	C₂³×Dic₄₃	—	2	2	no	—
19	C₂²×C₄₃⋊C₈	—	2	2	no	—
20	C₂²×C₄₃⋊C₈	—	2	4	no	—
21	C₂²×C₄₃⋊C₈	—	2	4	no	—
22	C₂²×C₄₃⋊C₈	—	2	2	no	—
23	C₂²×C₄₃⋊C₈	Q₈	1	4	yes	complemented
24	C₂×C₄⋊Dic₄₃	—	2	4	no	—
25	C₂×C₄⋊Dic₄₃	—	2	4	no	—
26	C₂×C₄⋊Dic₄₃	—	2	2	no	—
27	C₂×C₄⋊Dic₄₃	Q₈	1	4	yes	complemented
28	C₄₃⋊#95	—	4	2	no	—
29	C₄₃⋊#95	—	4	2	no	—
30	C₂²×Q₈×C₄₃	—	2	8	no	—
31	C₂²×Q₈×C₄₃	—	2	4	no	—
32	C₂²×Q₈×C₄₃	—	4	4	no	—
33	C₂²×Q₈×C₄₃	—	4	2	no	—
34	C₂²×Q₈×C₄₃	—	4	2	no	—
35	C₂³×C₄×C₄₃	—	2	2	no	—
36	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
38	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
39	C₄⋊Q₈×C₄₃	—	2	16	no	—
40	C₄⋊Q₈×C₄₃	—	2	16	no	—
41	C₂×C₄⋊C₄×C₄₃	—	2	8	no	—
42	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
43	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
44	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
45	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	4	yes	—
46	C₂×C₄⋊C₄×C₄₃	D₄	1	8	yes	—
47	C₂×C₄²×C₄₃	—	2	4	no	—
48	C₂×C₄²×C₄₃	C₂×C₄	1	2	yes	—
49	C₂×C₄²×C₄₃	D₄	1	2	yes	—
50	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
51	C₂×Q₈×C₄₃	—	2	16	no	—
52	C₂×Q₈×C₄₃	—	4	8	no	—
53	C₂×Q₈×C₄₃	—	4	16	no	—
54	C₂×Q₈×C₄₃	—	4	16	no	—
55	C₂×Q₈×C₄₃	—	4	8	no	—
56	C₂²×C₄×C₄₃	—	2	4	no	—
57	C₂²×C₄×C₄₃	—	2	2	no	—
58	C₂²×C₄×C₄₃	—	2	2	no	—
59	C₂²×C₄×C₄₃	—	2	8	no	—
60	C₂²×C₄×C₄₃	—	2	2	no	—
61	C₂²×C₄×C₄₃	—	2	2	no	—
62	C₂²×C₄×C₄₃	—	4	2	no	—
63	C₂²×C₄×C₄₃	—	4	2	no	—
64	C₂²×C₄×C₄₃	—	4	4	no	—
65	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
66	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
67	C₂²×C₄×C₄₃	D₈	1	2	yes	—
68	C₂²×C₄×C₄₃	SD₁₆	1	2	yes	—
69	C₂²×C₄×C₄₃	SD₁₆	1	2	yes	—
70	C₂²×C₄×C₄₃	Q₁₆	1	2	yes	—
71	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
72	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
74	C₂²×C₄×C₄₃	C₂×Q₈	1	2	yes	—
75	C₂²×C₄×C₄₃	C₂×Q₈	1	2	yes	—
76	C₂²×C₄×C₄₃	#41	1	2	yes	—
77	C₂²×C₄×C₄₃	#41	1	2	yes	—
78	C₂²×Dic₄₃	—	2	4	no	—
79	C₂²×Dic₄₃	—	4	2	no	—
80	C₂²×Dic₄₃	—	4	2	no	—
81	C₂²×Dic₄₃	—	4	2	no	—
82	C₂²×Dic₄₃	—	4	2	no	—
83	C₂²×Dic₄₃	—	4	2	no	—
84	C₂²×Dic₄₃	—	4	2	no	—
85	C₄⋊C₄×C₄₃	—	2	16	no	—
86	C₄⋊C₄×C₄₃	—	2	4	no	—
87	C₄⋊C₄×C₄₃	—	2	8	no	—
88	C₄⋊C₄×C₄₃	C₂²⋊C₄	1	8	yes	—
89	C₄²×C₄₃	—	2	4	no	—
90	C₄²×C₄₃	—	2	4	no	—
91	C₄⋊Dic₄₃	—	2	8	no	—
92	C₄⋊Dic₄₃	—	4	4	no	—
93	C₂×C₄₃⋊C₈	—	2	8	no	—
94	C₂×C₄₃⋊C₈	—	2	4	no	—
95	C₂×C₄₃⋊C₈	—	4	2	no	—
96	C₂×C₄₃⋊C₈	—	4	4	no	—
97	C₂×C₄₃⋊C₈	—	4	2	no	—
98	C₂³×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
99	C₂³×C₄₃	#120	1	2	yes	—
100	C₂³×C₄₃	C₂²⋊Q₈	1	2	yes	—
101	C₂³×C₄₃	#124	1	1	yes	characteristic
102	C₂³×C₄₃	C₄⋊Q₈	1	1	yes	characteristic
103	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
104	C₂³×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
105	C₂³×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
106	C₂³×C₄₃	C₂×Q₁₆	1	1	yes	characteristic
107	C₂³×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
108	C₂³×C₄₃	#137	1	2	yes	—
109	Q₈×C₄₃	—	4	32	no	—
110	C₂×C₄×C₄₃	—	2	2	no	—
111	C₂×C₄×C₄₃	—	2	2	no	—
112	C₂×C₄×C₄₃	—	2	2	no	—
113	C₂×C₄×C₄₃	—	2	2	no	—
114	C₂×C₄×C₄₃	—	2	4	no	—
115	C₂×C₄×C₄₃	—	2	4	no	—
116	C₂×C₄×C₄₃	—	2	4	no	—
117	C₂×C₄×C₄₃	—	2	4	no	—
118	C₂×C₄×C₄₃	—	2	8	no	—
119	C₂×C₄×C₄₃	—	4	4	no	—
120	C₂×C₄×C₄₃	—	4	4	no	—
121	C₂×C₄×C₄₃	—	4	8	no	—
122	C₂×C₄×C₄₃	—	4	8	no	—
123	C₂×C₄×C₄₃	#102	1	4	yes	—
124	C₂×C₄×C₄₃	#103	1	4	yes	—
125	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
126	C₂×C₄×C₄₃	C₄×Q₈	1	2	yes	—
127	C₂×C₄×C₄₃	C₄×Q₈	1	2	yes	—
128	C₂×C₄×C₄₃	#120	1	2	yes	—
129	C₂×C₄×C₄₃	C₂²⋊Q₈	1	4	yes	—
130	C₂×C₄×C₄₃	C₂²⋊Q₈	1	4	yes	—
131	C₂×C₄×C₄₃	C₂²⋊Q₈	1	2	yes	—
132	C₂×C₄×C₄₃	#124	1	4	yes	—
133	C₂×C₄×C₄₃	#124	1	1	yes	characteristic
134	C₂×C₄×C₄₃	C₄⋊Q₈	1	4	yes	—
135	C₂×C₄×C₄₃	C₄⋊Q₈	1	1	yes	characteristic
136	C₂×Dic₄₃	—	4	4	no	—
137	C₂×Dic₄₃	—	4	4	no	—
138	C₂×Dic₄₃	—	4	4	no	—
139	C₂×Dic₄₃	—	8	2	no	—
140	C₂×Dic₄₃	—	8	2	no	—
141	C₂×Dic₄₃	—	8	2	no	—
142	C₂×Dic₄₃	—	8	2	no	—
143	C₄₃⋊C₈	—	4	4	no	—
144	#11384	—	43	1	no	maximal, Sylow
145	C₂²×C₄₃	#379	1	1	yes	characteristic
146	C₂²×C₄₃	#391	1	1	yes	characteristic
147	C₂²×C₄₃	#391	1	1	yes	characteristic
148	C₂²×C₄₃	#393	1	2	yes	—
149	C₂²×C₄₃	#395	1	2	yes	—
150	C₂²×C₄₃	C₂×#102	1	1	yes	characteristic
151	C₂²×C₄₃	C₂×#103	1	1	yes	characteristic
152	C₂²×C₄₃	#418	1	1	yes	characteristic
153	C₂²×C₄₃	#419	1	1	yes	characteristic
154	C₂²×C₄₃	#447	1	2	yes	—
155	C₂²×C₄₃	#448	1	2	yes	—
156	C₂²×C₄₃	#450	1	2	yes	—
157	C₂²×C₄₃	#451	1	2	yes	—
158	C₂²×C₄₃	#474	1	2	yes	—
159	C₂²×C₄₃	#475	1	2	yes	—
160	C₂²×C₄₃	#476	1	2	yes	—
161	C₂²×C₄₃	#477	1	2	yes	—
162	C₂²×C₄₃	#486	1	1	yes	characteristic
163	C₂²×C₄₃	#487	1	1	yes	characteristic
164	C₂²×C₄₃	#489	1	2	yes	—
165	C₂²×C₄₃	#498	1	1	yes	characteristic
166	C₂²×C₄₃	#500	1	1	yes	characteristic
167	C₂²×C₄₃	#501	1	2	yes	—
168	C₄×C₄₃	—	2	4	no	—
169	C₄×C₄₃	—	2	4	no	—
170	C₄×C₄₃	—	4	8	no	—
171	C₄×C₄₃	#391	1	4	yes	—
172	C₄×C₄₃	#393	1	2	yes	—
173	C₄×C₄₃	#395	1	2	yes	—
174	Dic₄₃	—	8	4	no	—
175	C₂²×C₄⋊Q₈	D₄₃	1	1	yes	characteristic
176	C₂×#340	—	43	4	no	—
177	C₂×#336	—	43	1	no	—
178	C₄⋊#95	—	43	1	no	—
179	C₂×C₄₃	#1446	1	1	yes	characteristic
180	C₂×C₄₃	#1786	1	1	yes	characteristic
181	C₂×C₄₃	#1787	1	1	yes	characteristic
182	C₂×C₄₃	#1987	1	1	yes	characteristic
183	C₂×C₄₃	#1988	1	1	yes	characteristic
184	C₂×C₄₃	#1990	1	1	yes	characteristic
185	C₂×C₄₃	#1993	1	1	yes	characteristic
186	C₂×C₄₃	#2023	1	2	yes	—
187	C₂×C₄₃	#2024	1	2	yes	—
188	C₂×C₄₃	#2057	1	2	yes	—
189	C₂×C₄₃	#2058	1	2	yes	—
190	C₂³×Q₈	—	2	1	no	—
191	C₂³×C₈	—	43	2	no	—
192	C₂×C₄⋊Q₈	—	2	8	no	—
193	C₂×C₄⋊Q₈	—	2	2	no	—
194	C₂×C₄⋊Q₈	Dic₄₃	1	4	yes	complemented
195	C₂²×C₄⋊C₄	—	2	1	no	—
196	C₂²×C₄⋊C₄	—	43	2	no	—
197	C₂²×C₄⋊C₄	C₂×D₄₃	1	2	yes	—
198	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
199	C₂×#95	—	86	1	no	—
200	C₂×#95	—	86	1	no	—
201	#340	—	86	8	no	—
202	#336	—	86	2	no	—
203	C₄₃	#11384	1	1	yes	characteristic, complemented, Sylow
204	C₂²×Q₈	—	2	8	no	—
205	C₂²×Q₈	—	2	4	no	—
206	C₂²×Q₈	—	4	4	no	—
207	C₂²×Q₈	—	4	2	no	—
208	C₂²×Q₈	—	4	2	no	—
209	C₂³×C₄	—	2	2	no	—
210	C₂³×C₄	—	86	2	no	—
211	C₂³×C₄	C₂²⋊D₄₃	1	1	yes	characteristic
212	C₂³×C₄	C₂²⋊D₄₃	1	1	yes	characteristic
213	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
214	C₂²×C₈	—	43	4	no	—
215	C₂²×C₈	—	86	2	no	—
216	C₂²×C₈	—	86	4	no	—
217	C₂²×C₈	—	86	2	no	—
218	C₂²×C₈	—	86	4	no	—
219	C₄⋊Q₈	—	2	16	no	—
220	C₄⋊Q₈	—	2	16	no	—
221	C₂×C₄⋊C₄	—	2	8	no	—
222	C₂×C₄⋊C₄	—	2	4	no	—
223	C₂×C₄⋊C₄	—	2	4	no	—
224	C₂×C₄⋊C₄	—	2	2	no	—
225	C₂×C₄⋊C₄	—	43	4	no	—
226	C₂×C₄⋊C₄	—	86	4	no	—
227	C₂×C₄⋊C₄	—	86	4	no	—
228	C₂×C₄⋊C₄	—	86	2	no	—
229	C₂×C₄⋊C₄	C₂×Dic₄₃	1	4	yes	—
230	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	8	yes	—
231	C₂×C₄²	—	2	4	no	—
232	C₂×C₄²	C₂×Dic₄₃	1	2	yes	—
233	C₂×C₄²	C₂²⋊D₄₃	1	2	yes	—
234	#95	—	172	2	no	—
235	#95	—	172	2	no	—
236	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
237	C₂×Q₈	—	2	16	no	—
238	C₂×Q₈	—	4	16	no	—
239	C₂×Q₈	—	4	8	no	—
240	C₂×Q₈	—	4	16	no	—
241	C₂×Q₈	—	4	8	no	—
242	C₂²×C₄	—	2	2	no	—
243	C₂²×C₄	—	2	2	no	—
244	C₂²×C₄	—	2	2	no	—
245	C₂²×C₄	—	2	2	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	8	no	—
248	C₂²×C₄	—	4	2	no	—
249	C₂²×C₄	—	4	2	no	—
250	C₂²×C₄	—	4	4	no	—
251	C₂²×C₄	—	86	4	no	—
252	C₂²×C₄	—	172	2	no	—
253	C₂²×C₄	—	172	2	no	—
254	C₂²×C₄	—	172	2	no	—
255	C₂²×C₄	—	172	2	no	—
256	C₂²×C₄	—	172	2	no	—
257	C₂²×C₄	—	172	2	no	—
258	C₂²×C₄	#10621882	1	2	yes	—
259	C₂²×C₄	#10621883	1	2	yes	—
260	C₂²×C₄	#10621884	1	2	yes	—
261	C₂²×C₄	#10621885	1	2	yes	—
262	C₂²×C₄	C₂²⋊Dic₄₃	1	2	yes	—
263	C₂²×C₄	C₂²⋊Dic₄₃	1	2	yes	—
264	C₂²×C₄	Q₈×D₄₃	1	2	yes	—
265	C₂²×C₄	Q₈×D₄₃	1	2	yes	—
266	C₂²×C₄	#10621902	1	2	yes	—
267	C₂²×C₄	#10621902	1	2	yes	—
268	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
269	C₂²×C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
270	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
271	C₂×C₈	—	86	8	no	—
272	C₂×C₈	—	86	4	no	—
273	C₂×C₈	—	172	2	no	—
274	C₂×C₈	—	172	4	no	—
275	C₂×C₈	—	172	2	no	—
276	C₄⋊C₄	—	2	16	no	—
277	C₄⋊C₄	—	2	4	no	—
278	C₄⋊C₄	—	2	8	no	—
279	C₄⋊C₄	—	86	8	no	—
280	C₄⋊C₄	—	172	4	no	—
281	C₄⋊C₄	C₂²⋊Dic₄₃	1	8	yes	—
282	C₄²	—	2	4	no	—
283	C₄²	—	2	4	no	—
284	C₂³	C₂×C₂²⋊Dic₄₃	1	1	yes	characteristic
285	C₂³	#13063294	1	2	yes	—
286	C₂³	#13063301	1	2	yes	—
287	C₂³	#13063314	1	1	yes	characteristic
288	C₂³	#13063323	1	1	yes	characteristic
289	C₂³	C₂×#10621882	1	1	yes	characteristic
290	C₂³	C₂×#10621884	1	1	yes	characteristic
291	C₂³	C₂×#10621883	1	1	yes	characteristic
292	C₂³	C₂×#10621885	1	1	yes	characteristic
293	C₂³	#13063351	1	2	yes	—
294	C₂³	#13063356	1	2	yes	—
295	Q₈	—	4	32	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	4	no	—
303	C₂×C₄	—	2	4	no	—
304	C₂×C₄	—	2	8	no	—
305	C₂×C₄	—	4	8	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	8	no	—
309	C₂×C₄	—	344	2	no	—
310	C₂×C₄	—	344	2	no	—
311	C₂×C₄	—	344	2	no	—
312	C₂×C₄	—	344	2	no	—
313	C₂×C₄	—	172	4	no	—
314	C₂×C₄	—	172	4	no	—
315	C₂×C₄	—	172	4	no	—
316	C₂×C₄	#13063246	1	4	yes	—
317	C₂×C₄	#13063249	1	4	yes	—
318	C₂×C₄	C₂×C₂²⋊Dic₄₃	1	2	yes	—
319	C₂×C₄	Q₈×Dic₄₃	1	2	yes	—
320	C₂×C₄	Q₈×Dic₄₃	1	2	yes	—
321	C₂×C₄	#13063294	1	2	yes	—
322	C₂×C₄	#13063301	1	4	yes	—
323	C₂×C₄	#13063301	1	4	yes	—
324	C₂×C₄	#13063301	1	2	yes	—
325	C₂×C₄	#13063314	1	4	yes	—
326	C₂×C₄	#13063314	1	1	yes	characteristic
327	C₂×C₄	#13063323	1	4	yes	—
328	C₂×C₄	#13063323	1	1	yes	characteristic
329	C₈	—	172	4	no	—
330	C₂²	#14582755	1	1	yes	characteristic
331	C₂²	#14582806	1	1	yes	characteristic
332	C₂²	#14582806	1	1	yes	characteristic
333	C₂²	#14582810	1	2	yes	—
334	C₂²	#14582818	1	2	yes	—
335	C₂²	C₂×#13063246	1	1	yes	characteristic
336	C₂²	C₂×#13063249	1	1	yes	characteristic
337	C₂²	#14582904	1	1	yes	characteristic
338	C₂²	#14582908	1	1	yes	characteristic
339	C₂²	#14583033	1	2	yes	—
340	C₂²	#14583038	1	2	yes	—
341	C₂²	#14583050	1	2	yes	—
342	C₂²	#14583055	1	2	yes	—
343	C₂²	#14583176	1	2	yes	—
344	C₂²	#14583181	1	2	yes	—
345	C₂²	#14583186	1	2	yes	—
346	C₂²	#14583191	1	2	yes	—
347	C₂²	#14583247	1	1	yes	characteristic
348	C₂²	#14583251	1	1	yes	characteristic
349	C₂²	#14583261	1	2	yes	—
350	C₂²	#14583295	1	1	yes	characteristic
351	C₂²	#14583302	1	1	yes	characteristic
352	C₂²	#14583305	1	2	yes	—
353	C₄	—	2	4	no	—
354	C₄	—	2	4	no	—
355	C₄	—	4	8	no	—
356	C₄	—	344	4	no	—
357	C₄	#14582806	1	4	yes	—
358	C₄	#14582810	1	2	yes	—
359	C₄	#14582818	1	2	yes	—
360	C₂	#19132866	1	1	yes	characteristic
361	C₂	#19134526	1	1	yes	characteristic
362	C₂	#19134530	1	1	yes	characteristic
363	C₂	#19135544	1	1	yes	characteristic
364	C₂	#19135548	1	1	yes	characteristic
365	C₂	#19135557	1	1	yes	characteristic
366	C₂	#19135569	1	1	yes	characteristic
367	C₂	#19135728	1	2	yes	—
368	C₂	#19135733	1	2	yes	—
369	C₂	#19135920	1	2	yes	—
370	C₂	#19135925	1	2	yes	—

	subgroup	G/H
center	C₂⁴	C₂×C₂²⋊D₄₃
commutator	C₂²×C₄×C₄₃	C₂²×C₄
Frattini	C₂³×C₄	C₂²×D₄₃
Fitting	C₂²×C₄⋊Q₈×C₄₃	C₂
socle, prime radical	C₂⁴×C₄₃	C₂×D₄
cosocle	C₂³×C₄×C₄₃	C₂³
hypercenter	C₂²×C₄⋊Q₈	D₄₃
hypocenter	C₄₃	#11384
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄² ◁ C₂²×C₄⋊Q₈

Complements

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

N	H ≅ G/N	type
14. C₂×C₄⋊Q₈×C₄₃	C₄	semidirect
23. C₂²×C₄₃⋊C₈	Q₈	semidirect
27. C₂×C₄⋊Dic₄₃	Q₈	semidirect
194. C₂×C₄⋊Q₈	Dic₄₃	semidirect
203. C₄₃	#11384	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14582661	2
C₂×#14582654	2
#19132825	2
C₂²×C₄⋊Q₈×C₄₃	2
#11384	43