Subgroups — D₄₃×#2166 #25249720

Order 11008.

538 conjugacy classes of subgroups.

The subgroup lattice has 400 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	#19136411	C₂	1	1	yes	maximal, characteristic, complemented
3	#19136410	C₂	1	2	yes	maximal, complemented
4	#19136409	C₂	1	2	yes	maximal, complemented
5	#19136408	C₂	1	2	yes	maximal, complemented
6	#364×D₄₃	C₂	1	2	yes	maximal, complemented
7	#349×D₄₃	C₂	1	2	yes	maximal
8	#347×D₄₃	C₂	1	2	yes	maximal, complemented
9	C₄₃×#2166	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
11	C₂²×C₈×D₄₃	C₄	1	1	yes	characteristic
12	#117×D₄₃	C₄	1	1	yes	characteristic
13	M₃₂×D₄₃	C₂²	1	4	yes	—
14	#14582857	C₂²	1	1	yes	characteristic
15	#14582856	C₄	1	1	yes	characteristic
16	#14582856	C₂²	1	1	yes	characteristic
17	#14582855	C₄	1	1	yes	characteristic
18	#14582854	C₄	1	1	yes	characteristic
19	#14582853	C₄	1	1	yes	characteristic
20	#14582853	C₂²	1	1	yes	characteristic
21	#97×D₄₃	C₄	1	1	yes	characteristic
22	#97×D₄₃	C₂²	1	1	yes	characteristic
23	C₄×C₈×D₄₃	C₄	1	1	yes	characteristic
24	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
25	#14582720	C₂²	1	2	yes	complemented
26	#14582719	C₂²	1	4	yes	complemented
27	#14582681	C₂²	1	2	yes	—
28	#14582680	C₂²	1	4	yes	—
29	#14582677	C₂²	1	2	yes	complemented
30	#14582676	C₂²	1	4	yes	complemented
31	C₄₃×#405	C₂²	1	1	yes	characteristic
32	C₄₃×#364	C₂²	1	2	yes	complemented
33	C₄₃×#349	C₂²	1	2	yes	—
34	C₄₃×#347	C₂²	1	2	yes	complemented
35	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
36	C₂×#10621877	C₂×C₄	1	1	yes	characteristic
37	C₂×#10621872	C₂×C₄	1	1	yes	characteristic
38	C₂×#10621872	C₂³	1	1	yes	characteristic
39	M₁₆×D₄₃	—	2	2	no	—
40	M₁₆×D₄₃	—	2	2	no	—
41	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
42	C₂×C₈×D₄₃	—	2	2	no	—
43	C₂×C₈×D₄₃	—	2	2	no	—
44	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
45	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
46	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
47	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
48	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
49	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
50	#13063284	C₂×C₄	1	1	yes	characteristic
51	#13063283	—	2	1	no	—
52	#13063282	C₂×C₄	1	1	yes	characteristic
53	#13063282	C₂×C₄	1	1	yes	characteristic
54	#13063281	—	2	1	no	—
55	C₄⋊C₄×D₄₃	—	2	1	no	—
56	C₂²⋊C₄×D₄₃	—	2	1	no	—
57	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
58	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
59	#13063265	C₂³	1	4	yes	—
60	#13063264	—	2	4	no	—
61	C₁₆×D₄₃	—	2	4	no	—
62	#13063236	C₂×C₄	1	1	yes	characteristic
63	#13063236	C₂×C₄	1	1	yes	characteristic
64	#13063235	C₂×C₄	1	1	yes	characteristic
65	#13063235	C₂×C₄	1	1	yes	characteristic
66	#13063235	C₂×C₄	1	1	yes	characteristic
67	#13063235	C₂³	1	1	yes	characteristic
68	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
69	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
70	C₈×Dic₄₃	C₂×C₄	1	1	yes	characteristic
71	C₈×Dic₄₃	C₂×C₄	1	1	yes	characteristic
72	C₈×Dic₄₃	C₂×C₄	1	1	yes	characteristic
73	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
74	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
75	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
76	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
77	M₃₂×C₄₃	C₂³	1	4	yes	—
78	#97×C₄₃	C₂×C₄	1	1	yes	characteristic
79	#97×C₄₃	C₂³	1	1	yes	characteristic
80	C₄×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
81	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
82	C₂³×D₄₃	M₁₆	1	1	yes	characteristic
83	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
84	C₂²×Dic₄₃	M₁₆	1	1	yes	characteristic
85	C₂×C₄×D₄₃	—	2	1	no	—
86	C₂×C₄×D₄₃	—	2	1	no	—
87	C₂×C₄×D₄₃	—	2	1	no	—
88	C₂×C₄×D₄₃	—	2	1	no	—
89	C₂×C₄×D₄₃	—	2	1	no	—
90	C₂×C₄×D₄₃	—	2	1	no	—
91	C₂×C₄×D₄₃	M₁₆	1	1	yes	characteristic
92	C₂×C₄×D₄₃	M₁₆	1	1	yes	characteristic
93	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
94	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
95	M₁₆×C₄₃	—	2	2	no	—
96	C₂×C₈×C₄₃	—	2	2	no	—
97	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
98	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
101	C₄⋊C₄×C₄₃	—	2	1	no	—
102	C₂²⋊C₄×C₄₃	—	2	1	no	—
103	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
104	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
105	C₂²⋊Dic₄₃	—	2	1	no	—
106	(C₂×D₄₃)⋊C₄	—	2	1	no	—
107	(C₂×D₄₃)⋊C₄	—	2	1	no	—
108	C₄⋊Dic₄₃	—	2	1	no	—
109	Dic₄₃⋊C₄	—	2	1	no	—
110	Dic₄₃⋊C₄	—	2	1	no	—
111	C₄×Dic₄₃	—	2	1	no	—
112	C₄×Dic₄₃	—	2	1	no	—
113	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
114	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
115	#10621877	—	2	2	no	—
116	C₂×C₄₃⋊C₈	—	2	2	no	—
117	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
119	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
120	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
121	#10621872	—	2	2	no	—
122	#10621872	—	2	2	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	C₈×D₄₃	—	2	2	no	—
128	C₈×D₄₃	—	2	2	no	—
129	C₈×D₄₃	M₁₆	1	2	yes	—
130	C₈×D₄₃	M₁₆	1	2	yes	—
131	C₈×D₄₃	#41	1	2	yes	—
132	C₈×D₄₃	#41	1	2	yes	—
133	C₁₆×C₄₃	—	2	4	no	—
134	C₄₃⋊C₁₆	—	2	4	no	—
135	C₂³×C₄₃	C₂×M₁₆	1	1	yes	characteristic
136	C₂²×D₄₃	—	2	1	no	—
137	C₂²×D₄₃	—	2	1	no	—
138	C₂²×D₄₃	—	4	2	no	—
139	C₂²×D₄₃	C₂×M₁₆	1	1	yes	characteristic
140	C₂²×D₄₃	C₂×M₁₆	1	1	yes	characteristic
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	C₂×M₁₆	1	1	yes	characteristic
146	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
147	C₂×Dic₄₃	—	2	1	no	—
148	C₂×Dic₄₃	—	2	1	no	—
149	C₂×Dic₄₃	—	2	1	no	—
150	C₂×Dic₄₃	—	2	1	no	—
151	C₂×Dic₄₃	C₂×M₁₆	1	1	yes	characteristic
152	C₂×Dic₄₃	C₂×M₁₆	1	1	yes	characteristic
153	C₄×D₄₃	—	2	1	no	—
154	C₄×D₄₃	—	2	1	no	—
155	C₄×D₄₃	—	2	1	no	—
156	C₄×D₄₃	—	2	1	no	—
157	C₄×D₄₃	—	2	1	no	—
158	C₄×D₄₃	—	2	1	no	—
159	C₄×D₄₃	—	4	2	no	—
160	C₄×D₄₃	—	4	2	no	—
161	C₄×D₄₃	#117	1	1	yes	characteristic
162	C₄×D₄₃	#117	1	1	yes	characteristic
163	C₄×D₄₃	C₂×M₁₆	1	1	yes	characteristic
164	C₄×D₄₃	C₂×M₁₆	1	1	yes	characteristic
165	C₈×C₄₃	—	2	1	no	—
166	C₈×C₄₃	—	2	1	no	—
167	C₈×C₄₃	C₂×M₁₆	1	2	yes	—
168	C₈×C₄₃	C₂×#41	1	2	yes	—
169	C₄₃⋊C₈	—	2	1	no	—
170	C₄₃⋊C₈	—	2	1	no	—
171	C₄₃⋊C₈	#117	1	2	yes	—
172	C₄₃⋊C₈	C₂×M₁₆	1	2	yes	—
173	C₂×#2166	—	43	1	no	maximal, Sylow
174	C₂²×C₄₃	—	2	1	no	—
175	C₂²×C₄₃	—	4	1	no	—
176	C₂²×C₄₃	C₂²×M₁₆	1	1	yes	characteristic
177	C₂×D₄₃	—	2	2	no	—
178	C₂×D₄₃	—	2	1	no	—
179	C₂×D₄₃	—	4	2	no	—
180	C₂×D₄₃	—	4	2	no	—
181	C₂×D₄₃	—	4	1	no	—
182	C₂×D₄₃	#432	1	1	yes	characteristic
183	C₂×D₄₃	#432	1	1	yes	characteristic
184	C₄×C₄₃	—	2	1	no	—
185	C₄×C₄₃	—	4	1	no	—
186	C₄×C₄₃	—	4	1	no	—
187	C₄×C₄₃	C₂×#117	1	1	yes	characteristic
188	C₄×C₄₃	C₂²×M₁₆	1	1	yes	characteristic
189	Dic₄₃	—	2	1	no	—
190	Dic₄₃	—	4	1	no	—
191	Dic₄₃	—	4	1	no	—
192	Dic₄₃	#432	1	1	yes	characteristic
193	Dic₄₃	#432	1	1	yes	characteristic
194	C₂×#405	—	43	1	no	—
195	#2166	—	43	1	no	—
196	#2166	—	43	2	no	—
197	#2166	—	43	2	no	—
198	#2166	—	43	2	no	—
199	#2166	D₄₃	1	1	yes	characteristic, direct product factor
200	C₂×#364	—	43	2	no	—
201	C₂×#349	—	43	2	no	—
202	C₂×#347	—	43	2	no	—
203	C₂×C₄₃	—	2	1	no	—
204	C₂×C₄₃	—	4	1	no	—
205	C₂×C₄₃	C₂×#432	1	1	yes	characteristic
206	D₄₃	—	2	1	no	—
207	D₄₃	—	4	1	no	—
208	D₄₃	#2166	1	2	yes	direct product factor
209	C₂²×M₁₆	—	43	1	no	—
210	C₂³×C₈	—	43	1	no	—
211	C₂×#117	—	43	1	no	—
212	C₂×M₃₂	—	43	4	no	—
213	#405	—	43	1	no	—
214	#405	—	43	1	no	—
215	#405	—	43	1	no	—
216	#405	—	43	1	no	—
217	#405	—	43	1	no	—
218	#405	—	43	1	no	—
219	#405	—	43	1	no	—
220	#405	C₂×D₄₃	1	1	yes	characteristic
221	C₂×#97	—	43	1	no	—
222	C₂×#97	—	43	1	no	—
223	C₂×C₄×C₈	—	43	1	no	—
224	C₂×C₄×C₈	—	43	1	no	—
225	#364	—	43	4	no	—
226	#364	—	43	2	no	—
227	#364	C₂×D₄₃	1	2	yes	complemented
228	#349	—	43	2	no	—
229	#349	—	43	4	no	—
230	#349	C₂×D₄₃	1	2	yes	—
231	#347	—	43	4	no	—
232	#347	—	43	2	no	—
233	#347	C₂×D₄₃	1	2	yes	complemented
234	C₄₃	C₂×#2166	1	1	yes	characteristic, complemented, Sylow
235	C₂³×C₄	—	43	1	no	—
236	C₂×M₁₆	—	43	1	no	—
237	C₂×M₁₆	—	43	1	no	—
238	C₂×M₁₆	—	43	1	no	—
239	C₂×M₁₆	—	86	2	no	—
240	C₂×M₁₆	—	86	2	no	—
241	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
242	C₂²×C₈	—	43	1	no	—
243	C₂²×C₈	—	43	1	no	—
244	C₂²×C₈	—	43	1	no	—
245	C₂²×C₈	—	43	1	no	—
246	C₂²×C₈	—	43	1	no	—
247	C₂²×C₈	—	43	1	no	—
248	C₂²×C₈	—	43	1	no	—
249	C₂²×C₈	—	86	2	no	—
250	C₂²×C₈	—	86	2	no	—
251	C₂²×C₈	C₄×D₄₃	1	1	yes	characteristic
252	#117	—	43	1	no	—
253	#117	—	43	1	no	—
254	#117	—	43	1	no	—
255	#117	—	86	1	no	—
256	#117	—	86	1	no	—
257	#117	C₄×D₄₃	1	1	yes	characteristic
258	C₂×C₄⋊C₄	—	86	1	no	—
259	C₂×C₂²⋊C₄	—	86	1	no	—
260	C₂×C₄²	—	43	1	no	—
261	C₂×C₄²	—	43	1	no	—
262	M₃₂	—	43	4	no	—
263	M₃₂	—	86	4	no	—
264	M₃₂	C₂²×D₄₃	1	4	yes	—
265	C₂×C₁₆	—	86	4	no	—
266	#97	—	43	1	no	—
267	#97	—	43	1	no	—
268	#97	—	43	1	no	—
269	#97	—	43	1	no	—
270	#97	—	43	1	no	—
271	#97	—	43	1	no	—
272	#97	C₄×D₄₃	1	1	yes	characteristic
273	#97	C₂²×D₄₃	1	1	yes	characteristic
274	C₄×C₈	—	43	1	no	—
275	C₄×C₈	—	43	1	no	—
276	C₄×C₈	—	43	1	no	—
277	C₄×C₈	—	43	1	no	—
278	C₄×C₈	—	43	1	no	—
279	C₄×C₈	—	43	1	no	—
280	C₄×C₈	C₄×D₄₃	1	1	yes	characteristic
281	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
282	C₂⁴	—	43	1	no	—
283	C₂²×C₄	—	43	1	no	—
284	C₂²×C₄	—	43	1	no	—
285	C₂²×C₄	—	43	1	no	—
286	C₂²×C₄	—	43	1	no	—
287	C₂²×C₄	—	43	1	no	—
288	C₂²×C₄	—	86	1	no	—
289	C₂²×C₄	—	86	1	no	—
290	C₂²×C₄	—	86	1	no	—
291	C₂²×C₄	—	86	1	no	—
292	C₂²×C₄	—	86	1	no	—
293	C₂²×C₄	—	86	1	no	—
294	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
295	M₁₆	—	2	2	no	—
296	M₁₆	—	86	2	no	—
297	M₁₆	—	86	2	no	—
298	M₁₆	—	86	2	no	—
299	C₂×C₈	—	2	2	no	—
300	C₂×C₈	—	43	1	no	—
301	C₂×C₈	—	43	1	no	—
302	C₂×C₈	—	43	2	no	—
303	C₂×C₈	—	43	2	no	—
304	C₂×C₈	—	43	2	no	—
305	C₂×C₈	—	43	2	no	—
306	C₂×C₈	—	43	1	no	—
307	C₂×C₈	—	43	1	no	—
308	C₂×C₈	—	86	2	no	—
309	C₂×C₈	—	86	1	no	—
310	C₂×C₈	—	86	1	no	—
311	C₂×C₈	—	86	1	no	—
312	C₂×C₈	—	86	1	no	—
313	C₂×C₈	—	86	2	no	—
314	C₂×C₈	—	86	2	no	—
315	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
316	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
317	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
318	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
319	C₄⋊C₄	—	2	1	no	—
320	C₄⋊C₄	—	86	1	no	—
321	C₄⋊C₄	—	86	1	no	—
322	C₄⋊C₄	—	86	1	no	—
323	C₂²⋊C₄	—	2	1	no	—
324	C₂²⋊C₄	—	86	1	no	—
325	C₂²⋊C₄	—	86	1	no	—
326	C₂²⋊C₄	—	86	1	no	—
327	C₄²	—	43	1	no	—
328	C₄²	—	43	1	no	—
329	C₄²	—	86	1	no	—
330	C₄²	—	86	1	no	—
331	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
332	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
333	C₁₆	—	2	4	no	—
334	C₁₆	—	86	4	no	—
335	C₂³	—	43	1	no	—
336	C₂³	—	43	1	no	—
337	C₂³	—	86	1	no	—
338	C₂³	—	86	1	no	—
339	C₂³	—	172	2	no	—
340	C₂³	M₁₆×D₄₃	1	1	yes	characteristic
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	43	1	no	—
346	C₂×C₄	—	43	1	no	—
347	C₂×C₄	—	43	1	no	—
348	C₂×C₄	—	43	1	no	—
349	C₂×C₄	—	43	1	no	—
350	C₂×C₄	—	43	1	no	—
351	C₂×C₄	—	86	1	no	—
352	C₂×C₄	—	86	1	no	—
353	C₂×C₄	—	86	1	no	—
354	C₂×C₄	—	86	1	no	—
355	C₂×C₄	—	86	1	no	—
356	C₂×C₄	—	86	1	no	—
357	C₂×C₄	—	86	1	no	—
358	C₂×C₄	—	86	1	no	—
359	C₂×C₄	—	86	1	no	—
360	C₂×C₄	—	86	1	no	—
361	C₂×C₄	—	172	2	no	—
362	C₂×C₄	—	172	2	no	—
363	C₂×C₄	M₁₆×D₄₃	1	1	yes	characteristic
364	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
365	C₈	—	2	1	no	—
366	C₈	—	2	1	no	—
367	C₈	—	43	2	no	—
368	C₈	—	43	2	no	—
369	C₈	—	86	1	no	—
370	C₈	—	86	1	no	—
371	C₈	M₁₆×D₄₃	1	2	yes	—
372	C₈	#41×D₄₃	1	2	yes	—
373	C₂²	—	2	1	no	—
374	C₂²	—	4	1	no	—
375	C₂²	—	43	1	no	—
376	C₂²	—	43	1	no	—
377	C₂²	—	86	2	no	—
378	C₂²	—	86	1	no	—
379	C₂²	—	172	1	no	—
380	C₂²	—	172	2	no	—
381	C₂²	—	172	2	no	—
382	C₂²	C₂×M₁₆×D₄₃	1	1	yes	characteristic
383	C₄	—	2	1	no	—
384	C₄	—	4	1	no	—
385	C₄	—	4	1	no	—
386	C₄	—	43	1	no	—
387	C₄	—	43	1	no	—
388	C₄	—	86	1	no	—
389	C₄	—	172	1	no	—
390	C₄	—	172	1	no	—
391	C₄	#117×D₄₃	1	1	yes	characteristic
392	C₄	C₂×M₁₆×D₄₃	1	1	yes	characteristic
393	C₂	—	2	1	no	—
394	C₂	—	4	1	no	—
395	C₂	—	43	2	no	—
396	C₂	—	86	1	no	—
397	C₂	—	172	1	no	—
398	C₂	#432×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₄	#117×D₄₃
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2166	C₂
socle	C₂×C₄₃	C₂×#432
prime radical	C₂³×D₄₃	M₁₆
cosocle	C₂×C₈×C₄₃	C₂⁴
hypercenter	#2166	D₄₃
hypocenter	C₄₃	C₂×#2166
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₄ ◁ #97 ◁ #2166

Complements

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

N	H ≅ G/N	type
2. #19136411	C₂	semidirect
3. #19136410	C₂	semidirect
4. #19136409	C₂	semidirect
5. #19136408	C₂	semidirect
6. #364×D₄₃	C₂	semidirect
8. #347×D₄₃	C₂	semidirect
9. C₄₃×#2166	C₂	semidirect
25. #14582720	C₂²	semidirect
26. #14582719	C₂²	semidirect
29. #14582677	C₂²	semidirect
30. #14582676	C₂²	semidirect
32. C₄₃×#364	C₂²	semidirect
34. C₄₃×#347	C₂²	semidirect
199. #2166	D₄₃	direct (N × H)
208. D₄₃	#2166	direct (N × H)
227. #364	C₂×D₄₃	semidirect
233. #347	C₂×D₄₃	semidirect
234. C₄₃	C₂×#2166	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
#19136411	2
#19136410	2
#19136409	2
#19136408	2
#364×D₄₃	2
#349×D₄₃	2
#347×D₄₃	2
C₄₃×#2166	2
C₂×#2166	43

Subgroups — D43×#2166 #25249720

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#2166 #25249720