Subgroups — #25250209

Order 11008.

584 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19143287	C₂	1	1	yes	maximal, characteristic
2	#19136423	C₂	1	2	yes	maximal, complemented
3	#19136418	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	#19136209	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²⋊C₁₆×D₄₃	C₂	1	2	yes	maximal, complemented
9	C₄₃×#2113	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
11	#14583406	C₄	1	1	yes	characteristic
12	C₂×#13063265	C₂²	1	1	yes	characteristic, complemented
13	C₂²×C₄₃⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
14	C₂×C₁₆×D₄₃	C₂²	1	2	yes	—
15	C₂×C₁₆×D₄₃	C₂²	1	2	yes	—
16	#14582968	C₄	1	2	yes	—
17	#14582968	C₄	1	2	yes	—
18	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	—
19	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	—
20	#14582927	C₄	1	1	yes	characteristic
21	#14582866	C₄	1	1	yes	characteristic
22	#14582862	C₄	1	1	yes	characteristic
23	#14582854	C₂²	1	1	yes	characteristic
24	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
25	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
26	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	2	yes	—
27	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	2	yes	complemented
28	(C₂×D₄₃)⋊C₁₆	C₂²	1	2	yes	—
29	(C₂×D₄₃)⋊C₁₆	C₂²	1	2	yes	—
30	#14582674	C₂²	1	2	yes	complemented
31	C₁₆×Dic₄₃	C₂²	1	2	yes	complemented
32	C₂×#131×C₄₃	C₂²	1	1	yes	characteristic
33	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
35	C₄₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
36	C₄₃×C₂²⋊C₁₆	C₂²	1	2	yes	complemented
37	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
38	C₂×#10621877	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
40	C₂×C₈×D₄₃	—	4	1	no	—
41	C₂×C₈×D₄₃	—	4	1	no	—
42	C₂×C₈×D₄₃	C₂×C₄	1	2	yes	—
43	C₂×C₈×D₄₃	C₂³	1	2	yes	—
44	#13063306	C₈	1	1	yes	characteristic
45	#13063306	C₈	1	1	yes	characteristic
46	#13063301	C₈	1	2	yes	—
47	#13063296	C₈	1	2	yes	—
48	#13063293	C₈	1	1	yes	characteristic
49	#13063293	C₈	1	1	yes	characteristic
50	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
51	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
52	#13063284	C₂×C₄	1	1	yes	characteristic
53	#13063265	—	4	1	no	—
54	C₂×C₄₃⋊C₁₆	—	4	1	no	—
55	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
56	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
57	C₁₆×D₄₃	—	4	2	no	—
58	C₁₆×D₄₃	—	4	2	no	—
59	Dic₄₃⋊C₈	C₂×C₄	1	2	yes	—
60	Dic₄₃⋊C₈	C₂×C₄	1	2	yes	—
61	C₂²⋊(C₄₃⋊C₈)	C₂×C₄	1	2	yes	—
62	C₂²⋊(C₄₃⋊C₈)	C₂×C₄	1	2	yes	—
63	(C₂×D₄₃)⋊C₈	C₂×C₄	1	2	yes	—
64	(C₂×D₄₃)⋊C₈	C₂×C₄	1	2	yes	—
65	#13063235	C₂×C₄	1	2	yes	—
66	C₈×Dic₄₃	C₂³	1	2	yes	—
67	C₂×#41×C₄₃	C₂×C₄	1	1	yes	characteristic
68	#131×C₄₃	—	4	1	no	—
69	#131×C₄₃	—	4	1	no	—
70	C₂×M₁₆×C₄₃	C₂×C₄	1	1	yes	characteristic
71	C₂×M₁₆×C₄₃	C₂×C₄	1	1	yes	characteristic
72	C₂×M₁₆×C₄₃	C₂×C₄	1	1	yes	characteristic
73	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
74	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
75	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
76	M₃₂×C₄₃	—	4	1	no	—
77	C₂×C₁₆×C₄₃	—	4	1	no	—
78	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
79	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
80	C₂³×D₄₃	C₂×C₈	1	1	yes	characteristic
81	#41×C₄₃	—	4	1	no	—
82	#41×C₄₃	—	4	1	no	—
83	C₂×Q₈×C₄₃	C₂×C₈	1	1	yes	characteristic
84	C₂×D₄×C₄₃	C₂×C₈	1	1	yes	characteristic
85	C₂×D₄×C₄₃	C₂×C₈	1	1	yes	characteristic
86	C₂×D₄×C₄₃	C₂×C₈	1	1	yes	characteristic
87	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
90	C₂×C₂²⋊D₄₃	C₂×C₈	1	2	yes	—
91	C₂×C₂²⋊D₄₃	C₂×C₈	1	2	yes	—
92	C₂²×Dic₄₃	C₂×C₈	1	1	yes	characteristic
93	C₂×C₄×D₄₃	—	4	1	no	—
94	C₂×C₄×D₄₃	—	4	1	no	—
95	C₂×C₄×D₄₃	C₂×C₈	1	2	yes	—
96	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
97	M₁₆×C₄₃	—	4	1	no	—
98	M₁₆×C₄₃	—	4	1	no	—
99	M₁₆×C₄₃	—	4	1	no	—
100	C₂×C₈×C₄₃	—	2	1	no	—
101	C₂×C₈×C₄₃	—	2	1	no	—
102	C₂×C₈×C₄₃	—	2	1	no	—
103	C₂×C₈×C₄₃	—	2	1	no	—
104	C₂×C₈×C₄₃	—	2	1	no	—
105	C₂×C₈×C₄₃	—	2	1	no	—
106	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
108	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
110	C₂²⋊Dic₄₃	C₂×C₈	1	1	yes	characteristic
111	C₂²⋊Dic₄₃	C₂×C₈	1	1	yes	characteristic
112	C₂²⋊Dic₄₃	C₂×C₈	1	2	yes	—
113	C₂²⋊Dic₄₃	C₂×C₈	1	2	yes	—
114	(C₂×D₄₃)⋊C₄	C₂×C₈	1	2	yes	—
115	(C₂×D₄₃)⋊C₄	C₂×C₈	1	2	yes	—
116	C₄⋊Dic₄₃	C₂×C₈	1	2	yes	—
117	Dic₄₃⋊C₄	C₂×C₈	1	2	yes	—
118	Dic₄₃⋊C₄	C₂×C₈	1	2	yes	—
119	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
120	#10621877	—	4	1	no	—
121	C₂×C₄₃⋊C₈	—	4	1	no	—
122	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
123	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
124	C₈×D₄₃	—	2	2	no	—
125	C₈×D₄₃	—	2	2	no	—
126	C₈×D₄₃	—	4	2	no	—
127	C₁₆×C₄₃	—	2	2	no	—
128	C₁₆×C₄₃	—	2	2	no	—
129	C₄₃⋊C₁₆	—	2	2	no	—
130	C₄₃⋊C₁₆	—	2	2	no	—
131	C₂³×C₄₃	C₂²×C₈	1	1	yes	characteristic
132	C₂³×C₄₃	C₂²×C₈	1	1	yes	characteristic
133	C₂³×C₄₃	C₂²×C₈	1	1	yes	characteristic
134	C₂²×D₄₃	—	2	4	no	—
135	C₂²×D₄₃	—	4	1	no	—
136	C₂²×D₄₃	C₂²×C₈	1	2	yes	—
137	Q₈×C₄₃	—	4	1	no	—
138	D₄×C₄₃	—	4	1	no	—
139	D₄×C₄₃	—	4	1	no	—
140	D₄×C₄₃	—	4	1	no	—
141	C₂×C₄×C₄₃	—	2	1	no	—
142	C₂×C₄×C₄₃	—	2	1	no	—
143	C₂×C₄×C₄₃	—	2	1	no	—
144	C₂×C₄×C₄₃	—	2	1	no	—
145	C₂×C₄×C₄₃	—	2	1	no	—
146	C₂×C₄×C₄₃	—	2	1	no	—
147	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
148	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
151	C₂²⋊D₄₃	—	2	4	no	—
152	C₂²⋊D₄₃	—	2	4	no	—
153	C₂×Dic₄₃	—	4	1	no	—
154	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
155	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
156	C₂×Dic₄₃	C₂²×C₈	1	2	yes	—
157	C₄×D₄₃	—	2	2	no	—
158	C₄×D₄₃	—	2	2	no	—
159	C₄×D₄₃	—	4	2	no	—
160	C₈×C₄₃	—	2	1	no	—
161	C₈×C₄₃	—	2	1	no	—
162	C₈×C₄₃	—	2	1	no	—
163	C₈×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
164	C₈×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
165	C₄₃⋊C₈	—	2	2	no	—
166	C₄₃⋊C₈	—	2	2	no	—
167	#33491	—	43	1	no	maximal, Sylow
168	C₂²×C₄₃	—	2	2	no	—
169	C₂²×C₄₃	—	2	2	no	—
170	C₂²×C₄₃	—	2	2	no	—
171	C₂²×C₄₃	—	2	1	no	—
172	C₂²×C₄₃	—	2	1	no	—
173	C₂²×C₄₃	—	2	1	no	—
174	C₂²×C₄₃	C₂³×C₈	1	1	yes	characteristic
175	C₂×D₄₃	—	2	2	no	—
176	C₂×D₄₃	—	2	2	no	—
177	C₂×D₄₃	—	4	4	no	—
178	C₂×D₄₃	#504	1	4	yes	—
179	C₄×C₄₃	—	2	1	no	—
180	C₄×C₄₃	—	2	1	no	—
181	C₄×C₄₃	—	2	1	no	—
182	C₄×C₄₃	#518	1	1	yes	characteristic
183	C₄×C₄₃	#568	1	1	yes	characteristic
184	Dic₄₃	—	2	2	no	—
185	Dic₄₃	—	2	2	no	—
186	Dic₄₃	—	2	2	no	—
187	#2929	—	43	1	no	—
188	#2168	—	43	2	no	—
189	#2168	—	43	2	no	—
190	D₄×C₁₆	—	43	2	no	—
191	D₄×C₁₆	—	43	2	no	—
192	#2164	—	43	2	no	—
193	#2113	—	43	1	no	—
194	#2113	D₄₃	1	1	yes	characteristic, complemented
195	C₂×C₂²⋊C₁₆	—	43	2	no	—
196	C₂×C₄₃	—	4	1	no	—
197	C₂×C₄₃	—	4	1	no	—
198	C₂×C₄₃	—	4	1	no	—
199	C₂×C₄₃	#2972	1	1	yes	characteristic
200	C₂×C₄₃	C₂×#504	1	2	yes	—
201	D₄₃	—	2	4	no	—
202	C₂×#131	C₂×D₄₃	1	1	yes	characteristic
203	C₂³×C₈	—	43	1	no	—
204	#525	—	43	1	no	—
205	C₂×M₃₂	—	43	1	no	—
206	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic, complemented
207	C₂²×C₁₆	—	43	1	no	—
208	C₂²×C₁₆	—	43	2	no	—
209	C₂²×C₁₆	—	43	2	no	—
210	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
211	#435	—	43	2	no	—
212	#435	—	43	2	no	—
213	C₈×D₄	—	43	2	no	—
214	C₈×D₄	—	43	2	no	—
215	#424	—	43	1	no	—
216	#408	—	43	1	no	—
217	#407	—	43	1	no	—
218	#405	—	43	1	no	—
219	C₄⋊C₁₆	—	43	2	no	—
220	C₄⋊C₁₆	—	43	2	no	—
221	C₂²⋊C₁₆	—	43	2	no	—
222	C₂²⋊C₁₆	—	43	2	no	—
223	C₂²⋊C₁₆	—	43	2	no	—
224	C₂²⋊C₁₆	—	43	2	no	—
225	C₂²⋊C₁₆	C₂×D₄₃	1	2	yes	—
226	C₂²⋊C₁₆	C₂×D₄₃	1	2	yes	complemented
227	#346	—	43	2	no	—
228	C₄×C₁₆	—	43	2	no	—
229	C₄₃	#33491	1	1	yes	characteristic, complemented, Sylow
230	C₂×#41	C₄×D₄₃	1	1	yes	characteristic
231	C₂³×C₄	—	43	1	no	—
232	#131	—	4	1	no	—
233	#131	—	4	1	no	—
234	C₂×M₁₆	—	43	1	no	—
235	C₂×M₁₆	C₄×D₄₃	1	1	yes	characteristic
236	C₂×M₁₆	C₄×D₄₃	1	1	yes	characteristic
237	C₂×M₁₆	C₄×D₄₃	1	1	yes	characteristic
238	C₂²×C₈	—	43	1	no	—
239	C₂²×C₈	—	43	2	no	—
240	C₂²×C₈	—	43	2	no	—
241	C₂²×C₈	—	172	1	no	—
242	C₂²×C₈	—	172	1	no	—
243	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
244	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
245	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
246	#123	—	43	1	no	—
247	#123	—	43	1	no	—
248	C₂²⋊Q₈	—	43	2	no	—
249	#121	—	43	2	no	—
250	#120	—	43	1	no	—
251	#120	—	43	1	no	—
252	C₄×D₄	—	43	2	no	—
253	C₄×D₄	—	43	2	no	—
254	#117	—	43	1	no	—
255	M₃₂	—	4	1	no	—
256	M₃₂	—	172	1	no	—
257	C₂×C₁₆	—	4	1	no	—
258	C₂×C₁₆	—	43	2	no	—
259	C₂×C₁₆	—	43	2	no	—
260	C₂×C₁₆	—	172	2	no	—
261	C₂×C₁₆	—	172	2	no	—
262	C₂×C₁₆	—	172	1	no	—
263	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
264	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
265	C₄⋊C₈	—	43	2	no	—
266	C₄⋊C₈	—	43	2	no	—
267	C₂²⋊C₈	—	43	2	no	—
268	C₂²⋊C₈	—	43	2	no	—
269	C₂²⋊C₈	—	43	2	no	—
270	C₂²⋊C₈	—	43	2	no	—
271	#97	—	43	2	no	—
272	C₄×C₈	—	43	2	no	—
273	C₂⁴	—	43	1	no	—
274	#41	—	4	1	no	—
275	#41	—	4	1	no	—
276	C₂×Q₈	C₈×D₄₃	1	1	yes	characteristic
277	C₂×D₄	—	43	2	no	—
278	C₂×D₄	—	43	2	no	—
279	C₂×D₄	C₈×D₄₃	1	1	yes	characteristic
280	C₂×D₄	C₈×D₄₃	1	1	yes	characteristic
281	C₂×D₄	C₈×D₄₃	1	1	yes	characteristic
282	C₂²×C₄	—	43	1	no	—
283	C₂²×C₄	—	43	2	no	—
284	C₂²×C₄	—	43	2	no	—
285	C₂²×C₄	—	172	1	no	—
286	C₂²×C₄	—	172	1	no	—
287	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
288	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
289	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
290	M₁₆	—	4	1	no	—
291	M₁₆	—	4	1	no	—
292	M₁₆	—	4	1	no	—
293	M₁₆	—	172	1	no	—
294	C₂×C₈	—	2	1	no	—
295	C₂×C₈	—	2	1	no	—
296	C₂×C₈	—	2	1	no	—
297	C₂×C₈	—	2	1	no	—
298	C₂×C₈	—	2	1	no	—
299	C₂×C₈	—	2	1	no	—
300	C₂×C₈	—	43	2	no	—
301	C₂×C₈	—	43	2	no	—
302	C₂×C₈	—	86	2	no	—
303	C₂×C₈	—	86	2	no	—
304	C₂×C₈	—	172	2	no	—
305	C₂×C₈	—	172	1	no	—
306	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
307	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
308	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
309	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
310	C₄⋊C₄	—	43	2	no	—
311	C₄⋊C₄	—	43	2	no	—
312	C₄⋊C₄	—	43	2	no	—
313	C₂²⋊C₄	—	43	1	no	—
314	C₂²⋊C₄	—	43	1	no	—
315	C₂²⋊C₄	—	43	2	no	—
316	C₂²⋊C₄	—	43	2	no	—
317	C₂²⋊C₄	—	43	2	no	—
318	C₂²⋊C₄	—	43	2	no	—
319	C₄²	—	43	2	no	—
320	C₁₆	—	2	2	no	—
321	C₁₆	—	2	2	no	—
322	C₁₆	—	86	2	no	—
323	C₁₆	—	86	2	no	—
324	C₂³	—	43	2	no	—
325	C₂³	—	86	4	no	—
326	C₂³	—	172	1	no	—
327	C₂³	C₂×C₈×D₄₃	1	1	yes	characteristic
328	C₂³	C₂×C₈×D₄₃	1	1	yes	characteristic
329	C₂³	C₂×C₈×D₄₃	1	1	yes	characteristic
330	Q₈	—	4	1	no	—
331	D₄	—	4	1	no	—
332	D₄	—	4	1	no	—
333	D₄	—	4	1	no	—
334	D₄	—	86	4	no	—
335	D₄	—	86	4	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	43	2	no	—
343	C₂×C₄	—	43	2	no	—
344	C₂×C₄	—	43	2	no	—
345	C₂×C₄	—	86	2	no	—
346	C₂×C₄	—	86	2	no	—
347	C₂×C₄	—	172	2	no	—
348	C₂×C₄	—	172	1	no	—
349	C₂×C₄	C₂×C₈×D₄₃	1	1	yes	characteristic
350	C₂×C₄	C₂×C₈×D₄₃	1	1	yes	characteristic
351	C₂×C₄	C₂×C₈×D₄₃	1	1	yes	characteristic
352	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
353	C₈	—	2	1	no	—
354	C₈	—	2	1	no	—
355	C₈	—	2	1	no	—
356	C₈	—	86	2	no	—
357	C₈	—	86	2	no	—
358	C₈	#13063370	1	1	yes	characteristic
359	C₈	#13063370	1	1	yes	characteristic
360	C₂²	—	2	2	no	—
361	C₂²	—	2	2	no	—
362	C₂²	—	2	2	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	43	4	no	—
367	C₂²	—	86	2	no	—
368	C₂²	—	86	2	no	—
369	C₂²	—	172	4	no	—
370	C₂²	C₂²×C₈×D₄₃	1	1	yes	characteristic
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	86	2	no	—
375	C₄	—	86	2	no	—
376	C₄	—	86	2	no	—
377	C₄	#14583372	1	1	yes	characteristic
378	C₄	#14583665	1	1	yes	characteristic
379	C₂	—	4	1	no	—
380	C₂	—	4	1	no	—
381	C₂	—	4	1	no	—
382	C₂	—	86	4	no	—
383	C₂	#19143617	1	1	yes	characteristic
384	C₂	#504×D₄₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₄₃
commutator, socle	C₂²×C₄₃	C₂³×C₈
Fitting	C₄₃×#2113	C₂
prime radical	#14583406	C₄
cosocle	C₂×C₈×C₄₃	C₂⁴
hypercenter	#2113	D₄₃
hypocenter	C₄₃	#33491
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₈ ◁ #2113

Complements

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

N	H ≅ G/N	type
2. #19136423	C₂	semidirect
3. #19136418	C₂	semidirect
4. C₁₆×C₂²⋊D₄₃	C₂	semidirect
5. (C₂²⋊D₄₃)⋊C₁₆	C₂	semidirect
6. #19136399	C₂	semidirect
7. #19136209	C₂	semidirect
8. C₂²⋊C₁₆×D₄₃	C₂	semidirect
9. C₄₃×#2113	C₂	semidirect
12. C₂×#13063265	C₂²	semidirect
13. C₂²×C₄₃⋊C₁₆	C₂²	semidirect
24. Dic₄₃⋊C₁₆	C₂²	semidirect
25. Dic₄₃⋊C₁₆	C₂²	semidirect
27. C₂²⋊(C₄₃⋊C₁₆)	C₂²	semidirect
30. #14582674	C₂²	semidirect
31. C₁₆×Dic₄₃	C₂²	semidirect
33. C₂×M₃₂×C₄₃	C₂²	semidirect
34. C₂²×C₁₆×C₄₃	C₂²	semidirect
36. C₄₃×C₂²⋊C₁₆	C₂²	semidirect
194. #2113	D₄₃	semidirect
206. C₂×M₃₂	C₂×D₄₃	semidirect
210. C₂²×C₁₆	C₂×D₄₃	semidirect
226. C₂²⋊C₁₆	C₂×D₄₃	semidirect
229. C₄₃	#33491	semidirect

Maximal subgroups

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

subgroup	index
#19143287	2
#19136423	2
#19136418	2
C₁₆×C₂²⋊D₄₃	2
(C₂²⋊D₄₃)⋊C₁₆	2
#19136399	2
#19136209	2
C₂²⋊C₁₆×D₄₃	2
C₄₃×#2113	2
#33491	43