Subgroups — #25066544

Order 11008.

678 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Q₈×C₄₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#19143307	C₂	1	1	yes	maximal, characteristic
3	#19133474	C₂	1	4	yes	maximal, complemented
4	SD₁₆⋊(C₄₃⋊C₈)	C₂	1	4	yes	maximal, complemented
5	#19133370	C₂	1	1	yes	maximal, characteristic, complemented
6	#19133024	C₂	1	1	yes	maximal, characteristic, complemented
7	#19132994	C₂	1	1	yes	maximal, characteristic
8	#19132888	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#3103	C₂	1	1	yes	maximal, characteristic
10	C₂×#13063332	—	2	1	no	—
11	Q₈×C₄₃⋊C₈	—	2	1	no	—
12	Q₈×C₄₃⋊C₈	—	2	1	no	—
13	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	—
14	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	—
15	#14582977	—	2	1	no	—
16	#14582977	C₂²	1	2	yes	—
17	D₄×C₄₃⋊C₈	—	2	1	no	—
18	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
19	#14582952	C₂²	1	1	yes	characteristic
20	#14582923	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
22	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
23	#14582866	—	2	1	no	—
24	C₂×C₄×C₄₃⋊C₈	—	2	1	no	—
25	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
26	#14582652	C₂²	1	4	yes	—
27	Q₈⋊(C₄₃⋊C₈)	C₂²	1	4	yes	—
28	D₄⋊(C₄₃⋊C₈)	C₂²	1	4	yes	—
29	#14582621	C₂²	1	2	yes	—
30	#14582620	C₂²	1	2	yes	—
31	C₄₃×#532	C₂²	1	1	yes	characteristic
32	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
33	C₄₃×#481	C₄	1	2	yes	—
34	C₄₃×#475	C₄	1	2	yes	—
35	C₄₃×#460	C₄	1	2	yes	—
36	C₄₃×#448	C₄	1	2	yes	—
37	C₄×SD₁₆×C₄₃	C₂²	1	4	yes	—
38	C₄₃×#431	C₂²	1	1	yes	characteristic
39	#13063332	—	4	4	no	—
40	C₂×#10621877	—	2	1	no	—
41	C₂×#10621877	—	2	2	no	—
42	C₂²×C₄₃⋊C₈	—	2	1	no	—
43	C₂²×C₄₃⋊C₈	—	2	2	no	—
44	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
45	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
46	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
47	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
48	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
49	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
50	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
51	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
52	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
53	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
54	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
55	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
56	C₄×C₄₃⋊C₈	—	2	2	no	—
57	C₄×C₄₃⋊C₈	—	2	2	no	—
58	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
59	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
60	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
61	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
62	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
63	C₂×#41×C₄₃	—	2	1	no	—
64	C₂²×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
65	C₂×SD₁₆×C₄₃	C₂×C₄	1	4	yes	—
66	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
67	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
68	#124×C₄₃	—	2	1	no	—
69	#121×C₄₃	—	2	1	no	—
70	#121×C₄₃	C₂×C₄	1	2	yes	—
71	C₄×Q₈×C₄₃	—	2	1	no	—
72	C₄×Q₈×C₄₃	—	2	1	no	—
73	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
74	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
75	C₄×D₄×C₄₃	—	2	1	no	—
76	C₄×D₄×C₄₃	C₂³	1	2	yes	—
77	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
78	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
79	C₂×C₄²×C₄₃	—	2	1	no	—
80	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
81	#106×C₄₃	C₂×C₄	1	4	yes	—
82	C₄⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
83	#103×C₄₃	C₂×C₄	1	4	yes	—
84	#102×C₄₃	C₂×C₄	1	4	yes	—
85	C₂²⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
86	C₄×C₈×C₄₃	C₂³	1	2	yes	—
87	#41×C₄₃	—	4	2	no	—
88	#41×C₄₃	—	4	2	no	—
89	C₂×Q₈×C₄₃	—	2	4	no	—
90	C₂×Q₈×C₄₃	—	2	1	no	—
91	C₂×Q₈×C₄₃	—	2	1	no	—
92	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
93	C₂×D₄×C₄₃	—	2	1	no	—
94	C₂×D₄×C₄₃	—	2	1	no	—
95	C₂×D₄×C₄₃	—	2	2	no	—
96	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
97	C₂²×C₄×C₄₃	—	2	2	no	—
98	C₂²×C₄×C₄₃	—	2	1	no	—
99	C₂²×C₄×C₄₃	—	2	1	no	—
100	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
101	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
102	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
103	SD₁₆×C₄₃	—	2	8	no	—
104	C₂×C₈×C₄₃	C₂²×C₄	1	4	yes	—
105	C₄⋊C₄×C₄₃	—	2	2	no	—
106	C₄⋊C₄×C₄₃	—	2	1	no	—
107	C₄⋊C₄×C₄₃	—	2	1	no	—
108	C₄⋊C₄×C₄₃	—	2	2	no	—
109	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
110	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
111	C₂²⋊C₄×C₄₃	—	2	2	no	—
112	C₂²⋊C₄×C₄₃	—	2	2	no	—
113	C₄²×C₄₃	—	2	2	no	—
114	C₄²×C₄₃	—	2	2	no	—
115	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
116	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₃	#41	1	1	yes	characteristic
118	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
119	#10621877	—	4	4	no	—
120	#10621877	—	4	2	no	—
121	C₂×C₄₃⋊C₈	—	2	2	no	—
122	C₂×C₄₃⋊C₈	—	2	2	no	—
123	C₂×C₄₃⋊C₈	—	2	2	no	—
124	C₂×C₄₃⋊C₈	—	2	2	no	—
125	C₂×C₄₃⋊C₈	—	2	2	no	—
126	C₂×C₄₃⋊C₈	—	4	4	no	—
127	C₂×C₄₃⋊C₈	—	4	2	no	—
128	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
129	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
130	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
132	C₂³×C₄₃	—	2	2	no	—
133	C₂³×C₄₃	C₄×D₄	1	1	yes	characteristic
134	Q₈×C₄₃	—	2	4	no	—
135	Q₈×C₄₃	—	2	2	no	—
136	Q₈×C₄₃	—	4	2	no	—
137	Q₈×C₄₃	#131	1	4	yes	complemented
138	D₄×C₄₃	—	2	4	no	—
139	D₄×C₄₃	—	4	2	no	—
140	D₄×C₄₃	—	4	4	no	—
141	D₄×C₄₃	—	4	2	no	—
142	C₂×C₄×C₄₃	—	2	4	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	2	2	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	2	2	no	—
147	C₂×C₄×C₄₃	—	4	1	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	4	2	no	—
150	C₂×C₄×C₄₃	—	4	2	no	—
151	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
155	C₂×C₄×C₄₃	#137	1	2	yes	—
156	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
157	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
159	C₈×C₄₃	—	2	4	no	—
160	C₄₃⋊C₈	—	2	1	no	—
161	C₄₃⋊C₈	—	2	1	no	—
162	C₄₃⋊C₈	—	2	1	no	—
163	C₄₃⋊C₈	—	2	1	no	—
164	C₄₃⋊C₈	—	4	2	no	—
165	C₄₃⋊C₈	—	4	2	no	—
166	C₄₃⋊C₈	—	4	2	no	—
167	#17908	—	43	1	no	maximal, Sylow
168	C₂²×C₄₃	—	2	1	no	—
169	C₂²×C₄₃	—	2	1	no	—
170	C₂²×C₄₃	—	4	2	no	—
171	C₂²×C₄₃	—	4	2	no	—
172	C₂²×C₄₃	—	4	2	no	—
173	C₂²×C₄₃	#440	1	2	yes	—
174	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
175	C₄×C₄₃	—	2	4	no	—
176	C₄×C₄₃	—	2	1	no	—
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	—	2	1	no	—
179	C₄×C₄₃	—	4	2	no	—
180	C₄×C₄₃	—	4	2	no	—
181	C₄×C₄₃	#440	1	2	yes	—
182	C₄×C₄₃	C₂×#131	1	2	yes	—
183	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
184	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
185	#3103	D₄₃	1	1	yes	characteristic
186	C₂×C₈×Q₈	—	43	1	no	—
187	#2931	—	43	1	no	—
188	#1588	—	43	4	no	—
189	SD₁₆⋊C₈	—	43	4	no	—
190	#1571	—	43	1	no	—
191	#1487	—	43	1	no	—
192	#1480	—	43	1	no	—
193	#1452	—	43	1	no	—
194	C₂×C₄₃	—	2	2	no	—
195	C₂×C₄₃	—	8	2	no	—
196	C₂×C₄₃	#2929	1	1	yes	characteristic
197	C₂×C₄₃	C₂×#440	1	1	yes	characteristic
198	C₂×C₄₃	#2955	1	1	yes	characteristic
199	C₂×#131	—	86	1	no	—
200	#532	C₂×D₄₃	1	1	yes	characteristic
201	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic
202	#481	Dic₄₃	1	2	yes	—
203	#475	Dic₄₃	1	2	yes	—
204	#460	Dic₄₃	1	2	yes	—
205	#448	Dic₄₃	1	2	yes	—
206	C₈×Q₈	—	43	2	no	—
207	C₈×Q₈	—	43	2	no	—
208	C₈×Q₈	—	86	1	no	—
209	C₈×Q₈	—	86	1	no	—
210	C₄×SD₁₆	C₂×D₄₃	1	4	yes	—
211	#436	—	43	2	no	—
212	#436	—	86	1	no	—
213	C₈×D₄	—	43	2	no	—
214	C₈×D₄	—	86	1	no	—
215	#431	—	43	1	no	—
216	#431	C₂×D₄₃	1	1	yes	characteristic
217	#423	—	43	1	no	—
218	C₂×C₄⋊C₈	—	43	1	no	—
219	C₂×C₄⋊C₈	—	86	1	no	—
220	#408	—	86	1	no	—
221	C₂×C₄×C₈	—	43	1	no	—
222	C₂×C₄×C₈	—	86	1	no	—
223	#335	—	43	4	no	—
224	Q₈⋊C₈	—	43	4	no	—
225	D₄⋊C₈	—	43	4	no	—
226	#322	—	43	2	no	—
227	#322	—	43	2	no	—
228	C₄₃	#17908	1	1	yes	characteristic, complemented, Sylow
229	C₂×#41	—	2	1	no	—
230	C₂²×Q₈	C₂×Dic₄₃	1	1	yes	characteristic
231	C₂×SD₁₆	C₂×Dic₄₃	1	4	yes	—
232	#131	—	172	4	no	—
233	C₂×M₁₆	—	86	2	no	—
234	C₂×M₁₆	—	86	1	no	—
235	C₂²×C₈	—	43	1	no	—
236	C₂²×C₈	—	43	1	no	—
237	C₂²×C₈	—	86	2	no	—
238	C₂²×C₈	—	86	1	no	—
239	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
240	#127	C₂×Dic₄₃	1	1	yes	characteristic
241	#124	—	2	1	no	—
242	#121	—	2	1	no	—
243	#121	C₂×Dic₄₃	1	2	yes	—
244	C₄×Q₈	—	2	1	no	—
245	C₄×Q₈	—	2	1	no	—
246	C₄×Q₈	C₂×Dic₄₃	1	2	yes	—
247	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
248	C₄×D₄	—	2	1	no	—
249	C₄×D₄	C₂²×D₄₃	1	2	yes	—
250	C₂×C₄⋊C₄	—	2	1	no	—
251	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
252	C₂×C₄²	—	2	1	no	—
253	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
254	#106	C₂×Dic₄₃	1	4	yes	—
255	C₄⋊C₈	—	43	2	no	—
256	C₄⋊C₈	—	43	2	no	—
257	C₄⋊C₈	—	86	2	no	—
258	C₄⋊C₈	—	86	2	no	—
259	C₄⋊C₈	—	86	1	no	—
260	C₄⋊C₈	—	86	1	no	—
261	C₄⋊C₈	—	86	1	no	—
262	C₄⋊C₈	C₂×Dic₄₃	1	2	yes	—
263	#103	C₂×Dic₄₃	1	4	yes	—
264	#102	C₂×Dic₄₃	1	4	yes	—
265	C₂²⋊C₈	—	86	2	no	—
266	C₂²⋊C₈	—	86	2	no	—
267	C₂²⋊C₈	—	86	1	no	—
268	C₂²⋊C₈	C₂×Dic₄₃	1	2	yes	—
269	C₄×C₈	—	43	1	no	—
270	C₄×C₈	—	43	1	no	—
271	C₄×C₈	—	43	1	no	—
272	C₄×C₈	—	43	1	no	—
273	C₄×C₈	—	43	2	no	—
274	C₄×C₈	—	86	2	no	—
275	C₄×C₈	—	86	2	no	—
276	C₄×C₈	C₂²×D₄₃	1	2	yes	—
277	#41	—	4	2	no	—
278	#41	—	4	2	no	—
279	C₂×Q₈	—	2	4	no	—
280	C₂×Q₈	—	2	1	no	—
281	C₂×Q₈	—	2	1	no	—
282	C₂×Q₈	C₂²×Dic₄₃	1	2	yes	—
283	C₂×D₄	—	2	2	no	—
284	C₂×D₄	—	2	1	no	—
285	C₂×D₄	—	2	1	no	—
286	C₂×D₄	C₂²×Dic₄₃	1	2	yes	—
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	2	1	no	—
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
291	C₂²×C₄	#10621900	1	1	yes	characteristic
292	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
293	SD₁₆	—	2	8	no	—
294	M₁₆	—	172	4	no	—
295	M₁₆	—	172	2	no	—
296	C₂×C₈	—	43	1	no	—
297	C₂×C₈	—	43	1	no	—
298	C₂×C₈	—	43	1	no	—
299	C₂×C₈	—	43	1	no	—
300	C₂×C₈	—	86	2	no	—
301	C₂×C₈	—	86	2	no	—
302	C₂×C₈	—	86	2	no	—
303	C₂×C₈	—	86	2	no	—
304	C₂×C₈	—	86	2	no	—
305	C₂×C₈	—	172	4	no	—
306	C₂×C₈	—	172	2	no	—
307	C₂×C₈	C₂²×Dic₄₃	1	4	yes	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	2	1	no	—
310	C₄⋊C₄	—	2	1	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
313	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
314	C₂²⋊C₄	—	2	2	no	—
315	C₂²⋊C₄	—	2	2	no	—
316	C₄²	—	2	2	no	—
317	C₄²	—	2	2	no	—
318	C₄²	D₄×D₄₃	1	1	yes	characteristic
319	C₄²	#10621900	1	1	yes	characteristic
320	C₄²	C₂²×Dic₄₃	1	1	yes	characteristic
321	C₄²	C₂³×D₄₃	1	1	yes	characteristic
322	C₂³	—	2	2	no	—
323	C₂³	D₄×Dic₄₃	1	1	yes	characteristic
324	Q₈	—	2	4	no	—
325	Q₈	—	2	2	no	—
326	Q₈	—	4	2	no	—
327	Q₈	#13063332	1	4	yes	complemented
328	D₄	—	2	4	no	—
329	D₄	—	4	2	no	—
330	D₄	—	4	4	no	—
331	D₄	—	4	2	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
342	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
343	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
344	C₂×C₄	#13063352	1	2	yes	—
345	C₂×C₄	#13063354	1	2	yes	—
346	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
347	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
348	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
349	C₈	—	2	4	no	—
350	C₈	—	86	1	no	—
351	C₈	—	86	1	no	—
352	C₈	—	86	1	no	—
353	C₈	—	86	1	no	—
354	C₈	—	172	2	no	—
355	C₈	—	172	2	no	—
356	C₈	—	172	2	no	—
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	#14583000	1	2	yes	—
363	C₂²	C₂×D₄×Dic₄₃	1	1	yes	characteristic
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	4	no	—
367	C₄	—	2	1	no	—
368	C₄	—	4	2	no	—
369	C₄	—	4	2	no	—
370	C₄	#14583000	1	2	yes	—
371	C₄	C₂×#13063332	1	2	yes	—
372	C₄	C₂×#13063352	1	1	yes	characteristic
373	C₄	C₂×#13063354	1	1	yes	characteristic
374	C₂	—	2	2	no	—
375	C₂	—	8	2	no	—
376	C₂	#19143290	1	1	yes	characteristic
377	C₂	C₂×#14583000	1	1	yes	characteristic
378	C₂	#19143498	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#3103	C₂
socle	C₂²×C₄₃	C₂×C₄×D₄
prime radical	C₄₃×#532	C₂²
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#3103	D₄₃
hypocenter	C₄₃	#17908
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3103

Complements

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

N	H ≅ G/N	type
1. C₂×Q₈×C₄₃⋊C₈	C₂	semidirect
3. #19133474	C₂	semidirect
4. SD₁₆⋊(C₄₃⋊C₈)	C₂	semidirect
5. #19133370	C₂	semidirect
6. #19133024	C₂	semidirect
8. #19132888	C₂	semidirect
137. Q₈×C₄₃	#131	semidirect
228. C₄₃	#17908	semidirect
327. Q₈	#13063332	semidirect

Maximal subgroups

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

subgroup	index
C₂×Q₈×C₄₃⋊C₈	2
#19143307	2
#19133474	2
SD₁₆⋊(C₄₃⋊C₈)	2
#19133370	2
#19133024	2
#19132994	2
#19132888	2
C₄₃×#3103	2
#17908	43