Subgroups — #25250211

Order 11008.

584 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	#19143289	C₂	1	1	yes	maximal, characteristic
2	#19136420	C₂	1	2	yes	maximal, complemented
3	#19136417	C₂	1	2	yes	maximal, complemented
4	C₁₆×C₂²⋊D₄₃	C₂	1	2	yes	maximal, complemented
5	(C₂²⋊D₄₃)⋊C₁₆	C₂	1	2	yes	maximal, complemented
6	#19136399	C₂	1	2	yes	maximal, complemented
7	#19136207	C₂	1	2	yes	maximal, complemented
8	C₂×C₂²⋊(C₄₃⋊C₁₆)	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄₃×C₂²⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13063331	C₂²	1	1	yes	characteristic
11	#14583410	C₄	1	1	yes	characteristic
12	C₂×#13063264	C₂²	1	2	yes	complemented
13	C₂²×C₄₃⋊C₁₆	C₂²	1	2	yes	—
14	C₂×C₁₆×D₄₃	C₂²	1	2	yes	complemented
15	#14582970	C₄	1	2	yes	—
16	#14582970	C₄	1	2	yes	—
17	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	—
18	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	—
19	#14582925	C₄	1	1	yes	characteristic
20	#14582865	C₄	1	1	yes	characteristic
21	#14582863	C₄	1	1	yes	characteristic
22	#14582854	C₂²	1	1	yes	characteristic
23	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
24	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
25	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	2	yes	—
26	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic
27	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic
28	(C₂×D₄₃)⋊C₁₆	C₂²	1	2	yes	complemented
29	(C₂×D₄₃)⋊C₁₆	C₂²	1	2	yes	complemented
30	#14582674	C₂²	1	2	yes	complemented
31	C₁₆×Dic₄₃	C₂²	1	2	yes	complemented
32	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
33	C₂²×C₁₆×C₄₃	C₂²	1	2	yes	—
34	C₄₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
35	C₄₃×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
36	C₄₃×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
37	C₂×#10621898	C₂×C₄	1	1	yes	characteristic
38	#13063331	—	4	2	no	—
39	C₂×#10621877	C₂×C₄	1	1	yes	characteristic
40	C₂×#10621877	C₂×C₄	1	1	yes	characteristic
41	C₂×#10621872	C₂×C₄	1	2	yes	—
42	C₂×C₈×D₄₃	C₂³	1	2	yes	—
43	#13063308	C₈	1	2	yes	—
44	#13063304	C₈	1	1	yes	characteristic
45	#13063304	C₈	1	1	yes	characteristic
46	#13063299	C₈	1	1	yes	characteristic
47	#13063299	C₈	1	1	yes	characteristic
48	#13063294	C₈	1	2	yes	—
49	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
50	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
51	#13063284	C₂×C₄	1	1	yes	characteristic
52	#13063264	—	4	2	no	—
53	C₂×C₄₃⋊C₁₆	—	4	2	no	—
54	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
55	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
56	C₁₆×D₄₃	—	4	2	no	—
57	Dic₄₃⋊C₈	C₂×C₄	1	2	yes	—
58	Dic₄₃⋊C₈	C₂×C₄	1	2	yes	—
59	C₂²⋊(C₄₃⋊C₈)	C₂×C₄	1	2	yes	—
60	C₂²⋊(C₄₃⋊C₈)	C₂×C₄	1	2	yes	—
61	(C₂×D₄₃)⋊C₈	C₂×C₄	1	2	yes	—
62	(C₂×D₄₃)⋊C₈	C₂×C₄	1	2	yes	—
63	#13063235	C₂×C₄	1	2	yes	—
64	C₈×Dic₄₃	C₂³	1	2	yes	—
65	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
66	C₂²×C₈×C₄₃	—	4	2	no	—
67	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
68	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
69	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
70	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
71	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
72	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
73	C₂×C₁₆×C₄₃	—	4	2	no	—
74	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
75	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
76	C₂⁴×C₄₃	C₂×C₈	1	1	yes	characteristic
77	C₂²×C₄×C₄₃	—	4	1	no	—
78	C₂²×C₄×C₄₃	—	4	1	no	—
79	C₂²×C₄×C₄₃	C₂×C₈	1	1	yes	characteristic
80	C₂²×C₄×C₄₃	C₂×C₈	1	1	yes	characteristic
81	C₂²×C₄×C₄₃	C₂×C₈	1	1	yes	characteristic
82	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
85	C₂×C₂²⋊D₄₃	C₂×C₈	1	2	yes	—
86	C₂×C₂²⋊D₄₃	C₂×C₈	1	2	yes	—
87	C₂×C₂²⋊D₄₃	C₂×C₈	1	2	yes	—
88	#10621898	—	4	1	no	—
89	#10621898	—	4	1	no	—
90	C₂×D₁₇₂	C₂×C₈	1	1	yes	characteristic
91	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
92	C₂×Dic₈₆	C₂×C₈	1	1	yes	characteristic
93	C₂×C₈×C₄₃	—	2	2	no	—
94	C₂×C₈×C₄₃	—	2	2	no	—
95	C₂×C₈×C₄₃	—	2	2	no	—
96	C₂×C₈×C₄₃	—	4	1	no	—
97	C₂×C₈×C₄₃	—	4	1	no	—
98	C₂×C₈×C₄₃	—	4	1	no	—
99	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
103	C₂²⋊Dic₄₃	C₂×C₈	1	2	yes	—
104	C₂²⋊Dic₄₃	C₂×C₈	1	2	yes	—
105	C₂²⋊Dic₄₃	C₂×C₈	1	2	yes	—
106	(C₂×D₄₃)⋊C₄	C₂×C₈	1	2	yes	—
107	(C₂×D₄₃)⋊C₄	C₂×C₈	1	2	yes	—
108	C₄⋊Dic₄₃	C₂×C₈	1	1	yes	characteristic
109	C₄⋊Dic₄₃	C₂×C₈	1	1	yes	characteristic
110	Dic₄₃⋊C₄	C₂×C₈	1	2	yes	—
111	Dic₄₃⋊C₄	C₂×C₈	1	2	yes	—
112	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
113	#10621877	—	4	1	no	—
114	#10621877	—	4	1	no	—
115	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
116	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
117	#10621872	—	4	2	no	—
118	C₈×D₄₃	—	2	2	no	—
119	C₈×D₄₃	—	2	2	no	—
120	C₁₆×C₄₃	—	2	2	no	—
121	C₁₆×C₄₃	—	2	2	no	—
122	C₄₃⋊C₁₆	—	2	2	no	—
123	C₄₃⋊C₁₆	—	2	2	no	—
124	C₂³×C₄₃	—	2	2	no	—
125	C₂³×C₄₃	—	2	2	no	—
126	C₂³×C₄₃	—	4	1	no	—
127	C₂³×C₄₃	C₂²×C₈	1	1	yes	characteristic
128	C₂³×C₄₃	C₂²×C₈	1	1	yes	characteristic
129	C₂³×C₄₃	C₂²×C₈	1	1	yes	characteristic
130	C₂²×D₄₃	C₂²×C₈	1	2	yes	—
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	1	no	—
135	C₂×C₄×C₄₃	—	2	1	no	—
136	C₂×C₄×C₄₃	—	2	1	no	—
137	C₂×C₄×C₄₃	—	4	1	no	—
138	C₂×C₄×C₄₃	—	4	1	no	—
139	C₂×C₄×C₄₃	—	4	1	no	—
140	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
141	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
142	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
143	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
144	C₂²⋊D₄₃	—	2	4	no	—
145	C₂²⋊D₄₃	—	2	4	no	—
146	C₂²⋊D₄₃	—	4	2	no	—
147	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
148	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
149	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
150	D₁₇₂	—	4	1	no	—
151	C₄×D₄₃	—	2	2	no	—
152	C₄×D₄₃	—	2	2	no	—
153	Dic₈₆	—	4	1	no	—
154	C₈×C₄₃	—	2	1	no	—
155	C₈×C₄₃	—	2	1	no	—
156	C₈×C₄₃	—	2	1	no	—
157	C₈×C₄₃	H(5,𝔽₂)	1	2	yes	—
158	C₄₃⋊C₈	—	2	2	no	—
159	C₄₃⋊C₈	—	2	2	no	—
160	#33491	—	43	1	no	maximal, Sylow
161	C₂²×C₄₃	—	2	1	no	—
162	C₂²×C₄₃	—	2	1	no	—
163	C₂²×C₄₃	—	2	1	no	—
164	C₂²×C₄₃	—	2	1	no	—
165	C₂²×C₄₃	—	2	1	no	—
166	C₂²×C₄₃	—	2	1	no	—
167	C₂²×C₄₃	—	2	1	no	—
168	C₂²×C₄₃	—	4	4	no	—
169	C₂²×C₄₃	#504	1	2	yes	—
170	C₂²×C₄₃	#504	1	2	yes	—
171	C₂²×C₄₃	C₂³×C₈	1	1	yes	characteristic
172	C₂×D₄₃	—	2	2	no	—
173	C₂×D₄₃	—	2	2	no	—
174	C₂×D₄₃	—	2	2	no	—
175	C₄×C₄₃	—	2	1	no	—
176	C₄×C₄₃	—	2	1	no	—
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	#518	1	1	yes	characteristic
179	C₄×C₄₃	#568	1	1	yes	characteristic
180	Dic₄₃	—	2	2	no	—
181	Dic₄₃	—	2	2	no	—
182	Dic₄₃	—	2	2	no	—
183	#2929	—	43	1	no	—
184	#2168	—	43	2	no	—
185	#2168	—	43	2	no	—
186	D₄×C₁₆	—	43	2	no	—
187	D₄×C₁₆	—	43	2	no	—
188	#2164	—	43	2	no	—
189	#2113	—	43	2	no	—
190	C₂×C₂²⋊C₁₆	—	43	1	no	—
191	C₂×C₂²⋊C₁₆	D₄₃	1	1	yes	characteristic, complemented
192	C₂×C₄₃	—	2	2	no	—
193	C₂×C₄₃	—	2	2	no	—
194	C₂×C₄₃	—	4	1	no	—
195	C₂×C₄₃	#2972	1	1	yes	characteristic
196	C₂×C₄₃	C₂×#504	1	1	yes	characteristic
197	C₂×C₄₃	C₂×#504	1	1	yes	characteristic
198	D₄₃	—	4	2	no	—
199	C₂×#131	—	43	1	no	—
200	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
201	#525	—	43	1	no	—
202	C₂×M₃₂	—	43	2	no	—
203	C₂²×C₁₆	—	43	2	no	—
204	C₂²×C₁₆	—	43	2	no	—
205	C₂²×C₁₆	C₂×D₄₃	1	2	yes	—
206	#435	—	43	2	no	—
207	#435	—	43	2	no	—
208	C₈×D₄	—	43	2	no	—
209	C₈×D₄	—	43	2	no	—
210	#424	—	43	1	no	—
211	#408	—	43	1	no	—
212	#407	—	43	1	no	—
213	#405	—	43	1	no	—
214	C₄⋊C₁₆	—	43	2	no	—
215	C₄⋊C₁₆	—	43	2	no	—
216	C₂²⋊C₁₆	—	43	2	no	—
217	C₂²⋊C₁₆	—	43	1	no	—
218	C₂²⋊C₁₆	—	43	1	no	—
219	C₂²⋊C₁₆	—	43	2	no	—
220	C₂²⋊C₁₆	—	43	2	no	—
221	C₂²⋊C₁₆	C₂×D₄₃	1	2	yes	—
222	C₂²⋊C₁₆	C₂×D₄₃	1	1	yes	characteristic
223	C₂²⋊C₁₆	C₂×D₄₃	1	1	yes	characteristic
224	#346	—	43	2	no	—
225	C₄×C₁₆	—	43	2	no	—
226	C₄₃	#33491	1	1	yes	characteristic, complemented, Sylow
227	C₂×#41	—	43	1	no	—
228	C₂³×C₄	C₄×D₄₃	1	1	yes	characteristic
229	#131	—	172	2	no	—
230	C₂×M₁₆	—	43	1	no	—
231	C₂×M₁₆	—	43	1	no	—
232	C₂×M₁₆	—	43	2	no	—
233	C₂²×C₈	—	4	2	no	—
234	C₂²×C₈	—	43	2	no	—
235	C₂²×C₈	C₄×D₄₃	1	1	yes	characteristic
236	C₂²×C₈	C₄×D₄₃	1	1	yes	characteristic
237	C₂²×C₈	C₄×D₄₃	1	1	yes	characteristic
238	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
239	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
240	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
241	#123	—	43	2	no	—
242	C₂²⋊Q₈	—	43	1	no	—
243	C₂²⋊Q₈	—	43	1	no	—
244	#121	—	43	1	no	—
245	#121	—	43	1	no	—
246	#120	—	43	2	no	—
247	C₄×D₄	—	43	2	no	—
248	C₄×D₄	—	43	2	no	—
249	#117	—	43	1	no	—
250	M₃₂	—	172	2	no	—
251	C₂×C₁₆	—	4	2	no	—
252	C₂×C₁₆	—	43	2	no	—
253	C₂×C₁₆	—	43	2	no	—
254	C₂×C₁₆	—	172	2	no	—
255	C₂×C₁₆	—	172	2	no	—
256	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
257	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
258	C₄⋊C₈	—	43	2	no	—
259	C₄⋊C₈	—	43	2	no	—
260	C₂²⋊C₈	—	43	2	no	—
261	C₂²⋊C₈	—	43	2	no	—
262	C₂²⋊C₈	—	43	2	no	—
263	C₂²⋊C₈	—	43	2	no	—
264	#97	—	43	2	no	—
265	C₄×C₈	—	43	2	no	—
266	C₂⁴	C₈×D₄₃	1	1	yes	characteristic
267	#41	—	172	1	no	—
268	#41	—	172	1	no	—
269	C₂×Q₈	—	43	1	no	—
270	C₂×D₄	—	43	2	no	—
271	C₂×D₄	—	43	2	no	—
272	C₂×D₄	—	43	2	no	—
273	C₂×D₄	—	43	1	no	—
274	C₂²×C₄	—	4	1	no	—
275	C₂²×C₄	—	4	1	no	—
276	C₂²×C₄	—	43	2	no	—
277	C₂²×C₄	C₈×D₄₃	1	1	yes	characteristic
278	C₂²×C₄	C₈×D₄₃	1	1	yes	characteristic
279	C₂²×C₄	C₈×D₄₃	1	1	yes	characteristic
280	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
281	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
282	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
283	M₁₆	—	172	2	no	—
284	M₁₆	—	172	1	no	—
285	M₁₆	—	172	1	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	4	1	no	—
290	C₂×C₈	—	4	1	no	—
291	C₂×C₈	—	4	1	no	—
292	C₂×C₈	—	43	2	no	—
293	C₂×C₈	—	43	2	no	—
294	C₂×C₈	—	86	2	no	—
295	C₂×C₈	—	86	2	no	—
296	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
297	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
298	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
299	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
300	C₄⋊C₄	—	43	1	no	—
301	C₄⋊C₄	—	43	1	no	—
302	C₄⋊C₄	—	43	2	no	—
303	C₄⋊C₄	—	43	2	no	—
304	C₂²⋊C₄	—	43	2	no	—
305	C₂²⋊C₄	—	43	2	no	—
306	C₂²⋊C₄	—	43	2	no	—
307	C₂²⋊C₄	—	43	2	no	—
308	C₂²⋊C₄	—	43	2	no	—
309	C₄²	—	43	2	no	—
310	C₁₆	—	2	2	no	—
311	C₁₆	—	2	2	no	—
312	C₁₆	—	86	2	no	—
313	C₁₆	—	86	2	no	—
314	C₂³	—	2	2	no	—
315	C₂³	—	2	2	no	—
316	C₂³	—	4	1	no	—
317	C₂³	—	43	2	no	—
318	C₂³	C₂×C₈×D₄₃	1	1	yes	characteristic
319	C₂³	C₂×C₈×D₄₃	1	1	yes	characteristic
320	C₂³	C₂×C₈×D₄₃	1	1	yes	characteristic
321	Q₈	—	172	1	no	—
322	D₄	—	86	4	no	—
323	D₄	—	86	4	no	—
324	D₄	—	172	1	no	—
325	D₄	—	172	2	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	1	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	—	43	2	no	—
336	C₂×C₄	—	43	2	no	—
337	C₂×C₄	—	43	2	no	—
338	C₂×C₄	—	86	2	no	—
339	C₂×C₄	—	86	2	no	—
340	C₂×C₄	C₂×C₈×D₄₃	1	1	yes	characteristic
341	C₂×C₄	C₂×C₈×D₄₃	1	1	yes	characteristic
342	C₂×C₄	C₂×C₈×D₄₃	1	1	yes	characteristic
343	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
344	C₈	—	2	1	no	—
345	C₈	—	2	1	no	—
346	C₈	—	2	1	no	—
347	C₈	—	86	2	no	—
348	C₈	—	86	2	no	—
349	C₈	#13063370	1	2	yes	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	1	no	—
353	C₂²	—	2	1	no	—
354	C₂²	—	2	1	no	—
355	C₂²	—	2	1	no	—
356	C₂²	—	2	1	no	—
357	C₂²	—	4	4	no	—
358	C₂²	—	86	2	no	—
359	C₂²	—	86	2	no	—
360	C₂²	—	86	2	no	—
361	C₂²	#14583315	1	2	yes	—
362	C₂²	#14583317	1	2	yes	—
363	C₂²	C₂²×C₈×D₄₃	1	1	yes	characteristic
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	86	2	no	—
368	C₄	—	86	2	no	—
369	C₄	—	86	2	no	—
370	C₄	#14583372	1	1	yes	characteristic
371	C₄	#14583665	1	1	yes	characteristic
372	C₂	—	2	2	no	—
373	C₂	—	2	2	no	—
374	C₂	—	4	1	no	—
375	C₂	—	172	2	no	—
376	C₂	#19143617	1	1	yes	characteristic
377	C₂	C₂×#14583315	1	1	yes	characteristic
378	C₂	C₂×#14583317	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₄₃
commutator, socle	C₂²×C₄₃	C₂³×C₈
Fitting	C₂×C₄₃×C₂²⋊C₁₆	C₂
prime radical	#14583410	C₄
cosocle	C₂×C₈×C₄₃	C₂⁴
hypercenter	C₂×C₂²⋊C₁₆	D₄₃
hypocenter	C₄₃	#33491
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₈ ◁ C₂×C₂²⋊C₁₆

Complements

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

N	H ≅ G/N	type
2. #19136420	C₂	semidirect
3. #19136417	C₂	semidirect
4. C₁₆×C₂²⋊D₄₃	C₂	semidirect
5. (C₂²⋊D₄₃)⋊C₁₆	C₂	semidirect
6. #19136399	C₂	semidirect
7. #19136207	C₂	semidirect
8. C₂×C₂²⋊(C₄₃⋊C₁₆)	C₂	semidirect
9. C₂×C₄₃×C₂²⋊C₁₆	C₂	semidirect
12. C₂×#13063264	C₂²	semidirect
14. C₂×C₁₆×D₄₃	C₂²	semidirect
23. Dic₄₃⋊C₁₆	C₂²	semidirect
24. Dic₄₃⋊C₁₆	C₂²	semidirect
28. (C₂×D₄₃)⋊C₁₆	C₂²	semidirect
29. (C₂×D₄₃)⋊C₁₆	C₂²	semidirect
30. #14582674	C₂²	semidirect
31. C₁₆×Dic₄₃	C₂²	semidirect
191. C₂×C₂²⋊C₁₆	D₄₃	semidirect
226. C₄₃	#33491	semidirect

Maximal subgroups

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

subgroup	index
#19143289	2
#19136420	2
#19136417	2
C₁₆×C₂²⋊D₄₃	2
(C₂²⋊D₄₃)⋊C₁₆	2
#19136399	2
#19136207	2
C₂×C₂²⋊(C₄₃⋊C₁₆)	2
C₂×C₄₃×C₂²⋊C₁₆	2
#33491	43