Subgroups — #25249701

Order 11008.

600 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#405×D₄₃	C₂	1	1	yes	maximal, characteristic
2	#19136403	C₂	1	2	yes	maximal, complemented
3	#19136400	C₂	1	2	yes	maximal, complemented
4	#19136396	C₂	1	2	yes	maximal, complemented
5	#19136392	C₂	1	2	yes	maximal, complemented
6	#19136355	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136353	C₂	1	1	yes	maximal, characteristic, complemented
8	#19136205	C₂	1	1	yes	maximal, characteristic
9	C₂×(C₂×D₄₃)⋊C₁₆	C₂	1	1	yes	maximal, characteristic
10	#19136192	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#2108	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×M₁₆×D₄₃	C₄	1	1	yes	characteristic
13	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
14	#117×D₄₃	C₄	1	1	yes	characteristic
15	C₂×#13063265	C₂²	1	1	yes	characteristic
16	C₂²×C₄₃⋊C₁₆	C₂²	1	1	yes	characteristic
17	#14582857	C₄	1	1	yes	characteristic
18	#14582856	C₄	1	2	yes	—
19	#14582855	C₄	1	1	yes	characteristic
20	#14582854	C₂²	1	1	yes	characteristic
21	#14582853	C₂²	1	2	yes	—
22	#97×D₄₃	C₄	1	2	yes	—
23	C₄×C₈×D₄₃	C₂²	1	2	yes	—
24	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
25	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
26	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
27	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
28	(C₂×D₄₃)⋊C₁₆	C₂²	1	1	yes	characteristic
29	(C₂×D₄₃)⋊C₁₆	C₂²	1	2	yes	—
30	(C₂×D₄₃)⋊C₁₆	C₂²	1	1	yes	characteristic
31	(C₂×D₄₃)⋊C₁₆	C₂²	1	1	yes	characteristic
32	(C₂×D₄₃)⋊C₁₆	C₂²	1	2	yes	—
33	(C₂×D₄₃)⋊C₁₆	C₂²	1	1	yes	characteristic
34	#14582675	C₂²	1	2	yes	complemented
35	C₄×C₄₃⋊C₁₆	C₂²	1	2	yes	complemented
36	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic
37	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
38	C₄₃×#405	C₂²	1	1	yes	characteristic
39	C₄₃×#346	C₂²	1	2	yes	complemented
40	C₄×C₁₆×C₄₃	C₂²	1	2	yes	complemented
41	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
42	C₂×#10621877	C₂×C₄	1	1	yes	characteristic
43	C₂×#10621872	C₂×C₄	1	2	yes	—
44	M₁₆×D₄₃	—	2	4	no	—
45	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
46	C₂×C₈×D₄₃	—	2	2	no	—
47	C₂×C₈×D₄₃	—	2	2	no	—
48	C₂×C₈×D₄₃	C₂×C₄	1	2	yes	—
49	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
50	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
51	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
52	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
53	#13063284	C₂×C₄	1	1	yes	characteristic
54	#13063283	C₈	1	1	yes	characteristic
55	#13063283	C₈	1	1	yes	characteristic
56	#13063282	C₂×C₄	1	2	yes	—
57	#13063281	C₈	1	2	yes	—
58	C₄⋊C₄×D₄₃	C₈	1	1	yes	characteristic
59	C₄⋊C₄×D₄₃	C₈	1	1	yes	characteristic
60	C₂²⋊C₄×D₄₃	C₈	1	2	yes	—
61	C₄²×D₄₃	C₂×C₄	1	2	yes	—
62	#13063265	—	2	2	no	—
63	C₂×C₄₃⋊C₁₆	—	2	2	no	—
64	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
65	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
66	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
67	#13063236	C₂×C₄	1	2	yes	—
68	#13063235	C₂×C₄	1	2	yes	—
69	#13063235	C₂×C₄	1	2	yes	—
70	C₄×C₄₃⋊C₈	C₂×C₄	1	2	yes	—
71	C₈×Dic₄₃	C₂×C₄	1	2	yes	—
72	C₈×Dic₄₃	C₂³	1	2	yes	—
73	C₂×M₁₆×C₄₃	C₂×C₄	1	1	yes	characteristic
74	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
75	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
76	M₃₂×C₄₃	—	2	2	no	—
77	C₂×C₁₆×C₄₃	—	2	2	no	—
78	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
79	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
80	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
81	#97×C₄₃	C₂×C₄	1	2	yes	—
82	C₄×C₈×C₄₃	C₂³	1	2	yes	—
83	C₂³×D₄₃	C₂×C₈	1	1	yes	characteristic
84	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
85	C₂²×Dic₄₃	C₂×C₈	1	1	yes	characteristic
86	C₂×C₄×D₄₃	—	2	2	no	—
87	C₂×C₄×D₄₃	—	2	2	no	—
88	C₂×C₄×D₄₃	C₂×C₈	1	2	yes	—
89	C₂×C₄×D₄₃	C₂×C₈	1	1	yes	characteristic
90	C₂×C₄×D₄₃	C₂×C₈	1	1	yes	characteristic
91	C₂×C₄×D₄₃	C₂×C₈	1	2	yes	—
92	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
94	M₁₆×C₄₃	M₁₆	1	4	yes	—
95	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
96	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
97	C₂×C₈×C₄₃	#41	1	2	yes	—
98	C₂×C₈×C₄₃	#41	1	2	yes	—
99	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
100	C₄⋊C₄×C₄₃	C₂×C₈	1	1	yes	characteristic
101	C₄⋊C₄×C₄₃	C₂×C₈	1	1	yes	characteristic
102	C₂²⋊C₄×C₄₃	C₂×C₈	1	2	yes	—
103	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
104	C₂²⋊Dic₄₃	C₂×C₈	1	2	yes	—
105	(C₂×D₄₃)⋊C₄	C₂×C₈	1	2	yes	—
106	(C₂×D₄₃)⋊C₄	C₂×C₈	1	2	yes	—
107	C₄⋊Dic₄₃	C₂×C₈	1	1	yes	characteristic
108	C₄⋊Dic₄₃	C₂×C₈	1	1	yes	characteristic
109	Dic₄₃⋊C₄	C₂×C₈	1	2	yes	—
110	Dic₄₃⋊C₄	C₂×C₈	1	2	yes	—
111	C₄×Dic₄₃	C₂×C₈	1	2	yes	—
112	C₄×Dic₄₃	C₂×C₈	1	2	yes	—
113	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
114	#10621877	—	2	2	no	—
115	C₂×C₄₃⋊C₈	—	2	2	no	—
116	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
118	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
119	#10621872	—	2	4	no	—
120	C₈×D₄₃	—	2	2	no	—
121	C₈×D₄₃	—	2	2	no	—
122	C₈×D₄₃	—	2	4	no	—
123	C₈×D₄₃	—	2	1	no	—
124	C₈×D₄₃	—	2	1	no	—
125	C₈×D₄₃	—	2	1	no	—
126	C₈×D₄₃	—	2	1	no	—
127	C₁₆×C₄₃	—	2	1	no	—
128	C₁₆×C₄₃	—	2	1	no	—
129	C₁₆×C₄₃	—	2	2	no	—
130	C₄₃⋊C₁₆	—	2	1	no	—
131	C₄₃⋊C₁₆	—	2	1	no	—
132	C₄₃⋊C₁₆	—	2	2	no	—
133	C₂³×C₄₃	C₂²×C₈	1	1	yes	characteristic
134	C₂²×D₄₃	—	2	2	no	—
135	C₂²×D₄₃	—	2	2	no	—
136	C₂²×D₄₃	—	4	1	no	—
137	C₂²×D₄₃	C₂²×C₈	1	1	yes	characteristic
138	C₂²×D₄₃	C₂²×C₈	1	1	yes	characteristic
139	C₂×C₄×C₄₃	#117	1	2	yes	—
140	C₂×C₄×C₄₃	C₂²×C₈	1	2	yes	—
141	C₂×C₄×C₄₃	C₂²×C₈	1	2	yes	—
142	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
143	C₂×C₄×C₄₃	C₂×M₁₆	1	2	yes	—
144	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
145	C₂×Dic₄₃	—	2	2	no	—
146	C₂×Dic₄₃	C₂²×C₈	1	1	yes	characteristic
147	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
148	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
149	C₂×Dic₄₃	C₂²×C₈	1	1	yes	characteristic
150	C₄×D₄₃	—	2	4	no	—
151	C₄×D₄₃	—	2	1	no	—
152	C₄×D₄₃	—	2	1	no	—
153	C₄×D₄₃	—	2	1	no	—
154	C₄×D₄₃	—	2	1	no	—
155	C₄×D₄₃	—	2	2	no	—
156	C₄×D₄₃	—	2	2	no	—
157	C₄×D₄₃	—	4	2	no	—
158	C₈×C₄₃	#117	1	2	yes	—
159	C₈×C₄₃	C₂×M₁₆	1	4	yes	—
160	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
161	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
162	C₄₃⋊C₈	—	2	1	no	—
163	C₄₃⋊C₈	—	2	1	no	—
164	C₄₃⋊C₈	—	2	2	no	—
165	#33422	—	43	1	no	maximal, Sylow
166	C₂²×C₄₃	—	2	1	no	—
167	C₂²×C₄₃	—	2	1	no	—
168	C₂²×C₄₃	#431	1	2	yes	—
169	C₂²×C₄₃	C₂³×C₈	1	1	yes	characteristic
170	C₂×D₄₃	—	2	1	no	—
171	C₂×D₄₃	—	2	1	no	—
172	C₂×D₄₃	—	2	1	no	—
173	C₂×D₄₃	—	2	1	no	—
174	C₂×D₄₃	—	2	1	no	—
175	C₂×D₄₃	—	4	4	no	—
176	C₂×D₄₃	#504	1	2	yes	—
177	C₄×C₄₃	—	2	2	no	—
178	C₄×C₄₃	—	2	2	no	—
179	C₄×C₄₃	#431	1	2	yes	—
180	C₄×C₄₃	C₂×#117	1	1	yes	characteristic
181	C₄×C₄₃	C₂²×M₁₆	1	1	yes	characteristic
182	Dic₄₃	—	2	2	no	—
183	Dic₄₃	—	2	2	no	—
184	Dic₄₃	—	2	1	no	—
185	Dic₄₃	—	2	1	no	—
186	C₂×#405	—	43	1	no	—
187	#2164	—	43	2	no	—
188	#2164	—	43	2	no	—
189	#2163	—	43	2	no	—
190	#2162	—	43	2	no	—
191	#2151	—	43	1	no	—
192	#2151	—	43	1	no	—
193	#2112	—	43	1	no	—
194	C₂×C₂²⋊C₁₆	—	43	1	no	—
195	#2108	—	43	1	no	—
196	#2108	D₄₃	1	1	yes	characteristic, complemented
197	C₂×C₄₃	—	2	2	no	—
198	C₂×C₄₃	C₂×#431	1	1	yes	characteristic
199	C₂×C₄₃	C₂×#504	1	1	yes	characteristic
200	C₂×C₄₃	#3407	1	1	yes	characteristic
201	D₄₃	—	2	2	no	—
202	D₄₃	—	4	1	no	—
203	C₂²×M₁₆	—	43	1	no	—
204	C₂³×C₈	—	43	1	no	—
205	C₂×#117	—	43	1	no	—
206	C₂×M₃₂	—	43	1	no	—
207	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic
208	C₂²×C₁₆	—	43	1	no	—
209	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic
210	#405	—	43	1	no	—
211	#405	—	43	1	no	—
212	#405	—	43	1	no	—
213	#405	—	43	2	no	—
214	#405	—	43	2	no	—
215	#405	C₂×D₄₃	1	1	yes	characteristic
216	C₂×#97	—	43	2	no	—
217	C₂×C₄×C₈	—	43	2	no	—
218	C₄⋊C₁₆	—	43	2	no	—
219	C₄⋊C₁₆	—	43	2	no	—
220	C₄⋊C₁₆	—	43	2	no	—
221	C₄⋊C₁₆	—	43	2	no	—
222	C₂²⋊C₁₆	—	43	1	no	—
223	C₂²⋊C₁₆	—	43	1	no	—
224	C₂²⋊C₁₆	—	43	1	no	—
225	C₂²⋊C₁₆	—	43	1	no	—
226	C₂²⋊C₁₆	—	43	2	no	—
227	C₂²⋊C₁₆	—	43	2	no	—
228	#346	—	43	2	no	—
229	#346	C₂×D₄₃	1	2	yes	complemented
230	C₄×C₁₆	—	43	2	no	—
231	C₄×C₁₆	C₂×D₄₃	1	2	yes	complemented
232	C₄₃	#33422	1	1	yes	characteristic, complemented, Sylow
233	C₂³×C₄	—	43	1	no	—
234	C₂×M₁₆	—	43	1	no	—
235	C₂×M₁₆	—	43	2	no	—
236	C₂×M₁₆	—	86	4	no	—
237	C₂×M₁₆	C₄×D₄₃	1	1	yes	characteristic
238	C₂²×C₈	—	43	1	no	—
239	C₂²×C₈	—	43	1	no	—
240	C₂²×C₈	—	43	1	no	—
241	C₂²×C₈	—	43	2	no	—
242	C₂²×C₈	—	43	1	no	—
243	C₂²×C₈	—	43	1	no	—
244	C₂²×C₈	—	86	2	no	—
245	C₂²×C₈	—	86	2	no	—
246	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
247	#117	—	43	1	no	—
248	#117	—	43	1	no	—
249	#117	—	43	1	no	—
250	#117	—	43	2	no	—
251	#117	—	43	2	no	—
252	#117	C₄×D₄₃	1	1	yes	characteristic
253	C₂×C₄⋊C₄	—	43	1	no	—
254	C₂×C₄⋊C₄	—	43	1	no	—
255	C₂×C₂²⋊C₄	—	43	2	no	—
256	C₂×C₄²	—	43	2	no	—
257	M₃₂	—	2	2	no	—
258	M₃₂	—	86	2	no	—
259	C₂×C₁₆	—	2	2	no	—
260	C₂×C₁₆	—	43	1	no	—
261	C₂×C₁₆	—	43	2	no	—
262	C₂×C₁₆	—	43	1	no	—
263	C₂×C₁₆	—	86	2	no	—
264	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
265	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
266	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
267	#97	—	43	2	no	—
268	#97	—	43	2	no	—
269	#97	—	43	2	no	—
270	#97	C₄×D₄₃	1	2	yes	—
271	C₄×C₈	—	43	2	no	—
272	C₄×C₈	—	43	2	no	—
273	C₄×C₈	—	43	2	no	—
274	C₄×C₈	C₂²×D₄₃	1	2	yes	—
275	C₂⁴	—	43	1	no	—
276	C₂²×C₄	—	43	1	no	—
277	C₂²×C₄	—	43	2	no	—
278	C₂²×C₄	—	43	1	no	—
279	C₂²×C₄	—	43	1	no	—
280	C₂²×C₄	—	43	1	no	—
281	C₂²×C₄	—	43	1	no	—
282	C₂²×C₄	—	43	2	no	—
283	C₂²×C₄	—	86	2	no	—
284	C₂²×C₄	—	86	2	no	—
285	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
286	M₁₆	—	86	2	no	—
287	M₁₆	—	86	4	no	—
288	M₁₆	#10621872	1	4	yes	—
289	C₂×C₈	—	43	1	no	—
290	C₂×C₈	—	43	2	no	—
291	C₂×C₈	—	43	1	no	—
292	C₂×C₈	—	86	2	no	—
293	C₂×C₈	—	86	2	no	—
294	C₂×C₈	—	86	2	no	—
295	C₂×C₈	—	86	4	no	—
296	C₂×C₈	—	86	1	no	—
297	C₂×C₈	—	86	1	no	—
298	C₂×C₈	—	86	1	no	—
299	C₂×C₈	—	86	1	no	—
300	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
301	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
302	C₂×C₈	#10621898	1	2	yes	—
303	C₂×C₈	#10621898	1	2	yes	—
304	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
305	C₄⋊C₄	—	43	2	no	—
306	C₄⋊C₄	—	43	2	no	—
307	C₄⋊C₄	—	43	1	no	—
308	C₄⋊C₄	—	43	1	no	—
309	C₄⋊C₄	C₈×D₄₃	1	1	yes	characteristic
310	C₄⋊C₄	C₈×D₄₃	1	1	yes	characteristic
311	C₂²⋊C₄	—	43	2	no	—
312	C₂²⋊C₄	—	43	2	no	—
313	C₂²⋊C₄	—	43	2	no	—
314	C₂²⋊C₄	C₈×D₄₃	1	2	yes	—
315	C₄²	—	43	2	no	—
316	C₄²	—	43	2	no	—
317	C₄²	—	43	2	no	—
318	C₄²	C₂×C₄×D₄₃	1	2	yes	—
319	C₁₆	—	2	1	no	—
320	C₁₆	—	2	1	no	—
321	C₁₆	—	2	2	no	—
322	C₁₆	—	86	1	no	—
323	C₁₆	—	86	1	no	—
324	C₁₆	—	86	2	no	—
325	C₂³	—	43	1	no	—
326	C₂³	—	43	1	no	—
327	C₂³	—	86	2	no	—
328	C₂³	—	86	2	no	—
329	C₂³	—	172	1	no	—
330	C₂³	C₂×C₈×D₄₃	1	1	yes	characteristic
331	C₂×C₄	—	43	1	no	—
332	C₂×C₄	—	43	2	no	—
333	C₂×C₄	—	43	2	no	—
334	C₂×C₄	—	43	1	no	—
335	C₂×C₄	—	86	4	no	—
336	C₂×C₄	—	86	2	no	—
337	C₂×C₄	—	86	1	no	—
338	C₂×C₄	—	86	1	no	—
339	C₂×C₄	—	86	1	no	—
340	C₂×C₄	—	86	1	no	—
341	C₂×C₄	—	86	2	no	—
342	C₂×C₄	—	86	2	no	—
343	C₂×C₄	—	172	2	no	—
344	C₂×C₄	#13063282	1	2	yes	—
345	C₂×C₄	C₂×C₈×D₄₃	1	2	yes	—
346	C₂×C₄	C₂×C₈×D₄₃	1	2	yes	—
347	C₂×C₄	C₂×C₈×D₄₃	1	1	yes	characteristic
348	C₂×C₄	C₂×#10621872	1	2	yes	—
349	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
350	C₈	—	86	1	no	—
351	C₈	—	86	1	no	—
352	C₈	—	86	2	no	—
353	C₈	#13063282	1	2	yes	—
354	C₈	C₂×#10621872	1	4	yes	—
355	C₈	C₂×#10621898	1	1	yes	characteristic
356	C₈	C₂×#10621898	1	1	yes	characteristic
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	43	2	no	—
360	C₂²	—	86	1	no	—
361	C₂²	—	86	1	no	—
362	C₂²	—	86	1	no	—
363	C₂²	—	86	1	no	—
364	C₂²	—	86	1	no	—
365	C₂²	—	172	4	no	—
366	C₂²	#14582950	1	2	yes	—
367	C₂²	C₂²×C₈×D₄₃	1	1	yes	characteristic
368	C₄	—	2	2	no	—
369	C₄	—	2	2	no	—
370	C₄	—	86	1	no	—
371	C₄	—	86	1	no	—
372	C₄	—	86	2	no	—
373	C₄	—	86	2	no	—
374	C₄	#14582950	1	2	yes	—
375	C₄	C₂×#13063282	1	1	yes	characteristic
376	C₄	C₂²×#10621872	1	1	yes	characteristic
377	C₂	—	2	2	no	—
378	C₂	—	86	2	no	—
379	C₂	—	172	1	no	—
380	C₂	C₂×#14582950	1	1	yes	characteristic
381	C₂	#504×D₄₃	1	1	yes	characteristic
382	C₂	#19147696	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₄₃
commutator, socle	C₂²×C₄₃	C₂³×C₈
Fitting	C₄₃×#2108	C₂
prime radical	C₂³×D₄₃	C₂×C₈
cosocle	C₂×C₈×C₄₃	C₂⁴
hypercenter	#2108	D₄₃
hypocenter	C₄₃	#33422
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₈ ◁ #2108

Complements

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

N	H ≅ G/N	type
2. #19136403	C₂	semidirect
3. #19136400	C₂	semidirect
4. #19136396	C₂	semidirect
5. #19136392	C₂	semidirect
6. #19136355	C₂	semidirect
7. #19136353	C₂	semidirect
10. #19136192	C₂	semidirect
11. C₄₃×#2108	C₂	semidirect
24. Dic₄₃⋊C₁₆	C₂²	semidirect
25. Dic₄₃⋊C₁₆	C₂²	semidirect
26. Dic₄₃⋊C₁₆	C₂²	semidirect
27. Dic₄₃⋊C₁₆	C₂²	semidirect
34. #14582675	C₂²	semidirect
35. C₄×C₄₃⋊C₁₆	C₂²	semidirect
39. C₄₃×#346	C₂²	semidirect
40. C₄×C₁₆×C₄₃	C₂²	semidirect
196. #2108	D₄₃	semidirect
229. #346	C₂×D₄₃	semidirect
231. C₄×C₁₆	C₂×D₄₃	semidirect
232. C₄₃	#33422	semidirect

Maximal subgroups

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

subgroup	index
#405×D₄₃	2
#19136403	2
#19136400	2
#19136396	2
#19136392	2
#19136355	2
#19136353	2
#19136205	2
C₂×(C₂×D₄₃)⋊C₁₆	2
#19136192	2
C₄₃×#2108	2
#33422	43