Subgroups — C₄₃×#13965 #24933982

Order 11008.

2150 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#385	C₂	1	4	yes	maximal
2	C₂×C₄₃×#380	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₂²⋊C₄×C₄₃	C₂	1	1	yes	maximal, characteristic
4	C₂²×#95×C₄₃	C₂	1	1	yes	maximal, characteristic
5	C₄₃×#1444	C₂	1	4	yes	maximal, complemented
6	C₄₃×C₄⋊#95	C₂	1	4	yes	maximal, complemented
7	C₂⁴×C₄×C₄₃	C₂²	1	2	yes	—
8	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
9	C₂²×C₄⋊C₄×C₄₃	C₂²	1	8	yes	—
10	C₂²×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
11	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	—
12	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	—
13	C₂²×C₄²×C₄₃	C₂²	1	2	yes	—
14	C₄₃×#385	—	2	16	no	—
15	C₄₃×#380	—	2	4	no	—
16	C₄×C₂²⋊C₄×C₄₃	C₄	1	8	yes	complemented
17	C₂×#95×C₄₃	—	2	4	no	—
18	C₂×#95×C₄₃	C₂²	1	2	yes	—
19	C₂×#95×C₄₃	C₂²	1	2	yes	—
20	C₂×#95×C₄₃	C₂²	1	8	yes	—
21	C₂×#95×C₄₃	C₂²	1	2	yes	—
22	C₂×#95×C₄₃	C₂²	1	2	yes	—
23	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
24	C₂³×C₄×C₄₃	—	2	4	no	—
25	C₂³×C₄×C₄₃	—	2	8	no	—
26	C₂³×C₄×C₄₃	—	2	8	no	—
27	C₂³×C₄×C₄₃	—	4	4	no	—
28	C₂³×C₄×C₄₃	—	4	4	no	—
29	C₂³×C₄×C₄₃	C₂×C₄	1	4	yes	—
30	C₂³×C₄×C₄₃	D₄	1	4	yes	—
31	C₂³×C₄×C₄₃	Q₈	1	4	yes	—
32	C₂³×C₄×C₄₃	C₂³	1	4	yes	—
33	C₂³×C₄×C₄₃	C₂³	1	4	yes	—
34	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
35	C₂³×C₄×C₄₃	C₂³	1	4	yes	—
36	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
37	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
38	C₂×C₄⋊C₄×C₄₃	—	2	16	no	—
39	C₂×C₄⋊C₄×C₄₃	—	2	16	no	—
40	C₂×C₄⋊C₄×C₄₃	—	4	8	no	—
41	C₂×C₄⋊C₄×C₄₃	—	4	4	no	—
42	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
43	C₂×C₂²⋊C₄×C₄₃	—	2	8	no	—
44	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	8	yes	—
45	C₂×C₂²⋊C₄×C₄₃	D₄	1	8	yes	—
46	C₂×C₂²⋊C₄×C₄₃	Q₈	1	8	yes	—
47	C₂×C₄²×C₄₃	—	4	4	no	—
48	C₂×C₄²×C₄₃	C₂×C₄	1	8	yes	complemented
49	#95×C₄₃	—	2	4	no	—
50	#95×C₄₃	—	2	4	no	—
51	#95×C₄₃	—	2	4	no	—
52	#95×C₄₃	—	2	16	no	—
53	#95×C₄₃	C₂×C₄	1	8	yes	complemented
54	C₂⁴×C₄₃	—	2	4	no	—
55	C₂⁴×C₄₃	—	2	4	no	—
56	C₂⁴×C₄₃	C₂²×C₄	1	2	yes	—
57	C₂⁴×C₄₃	C₂×D₄	1	4	yes	—
58	C₂⁴×C₄₃	C₂×D₄	1	2	yes	—
59	C₂⁴×C₄₃	C₂×Q₈	1	4	yes	—
60	C₂⁴×C₄₃	C₂×Q₈	1	2	yes	—
61	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
62	C₂²×C₄×C₄₃	—	2	16	no	—
63	C₂²×C₄×C₄₃	—	2	4	no	—
64	C₂²×C₄×C₄₃	—	2	8	no	—
65	C₂²×C₄×C₄₃	—	2	4	no	—
66	C₂²×C₄×C₄₃	—	2	4	no	—
67	C₂²×C₄×C₄₃	—	2	4	no	—
68	C₂²×C₄×C₄₃	—	2	8	no	—
69	C₂²×C₄×C₄₃	—	2	4	no	—
70	C₂²×C₄×C₄₃	—	2	8	no	—
71	C₂²×C₄×C₄₃	—	2	8	no	—
72	C₂²×C₄×C₄₃	—	2	4	no	—
73	C₂²×C₄×C₄₃	—	2	4	no	—
74	C₂²×C₄×C₄₃	—	2	8	no	—
75	C₂²×C₄×C₄₃	—	2	8	no	—
76	C₂²×C₄×C₄₃	—	4	8	no	—
77	C₂²×C₄×C₄₃	—	4	8	no	—
78	C₂²×C₄×C₄₃	—	4	8	no	—
79	C₂²×C₄×C₄₃	—	4	32	no	—
80	C₂²×C₄×C₄₃	—	4	8	no	—
81	C₂²×C₄×C₄₃	—	4	8	no	—
82	C₂²×C₄×C₄₃	C₄⋊C₄	1	16	yes	complemented
83	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₄₃	C₂²×C₄	1	8	yes	—
85	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₄₃	C₂×D₄	1	8	yes	—
88	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
89	C₂²×C₄×C₄₃	C₂×Q₈	1	8	yes	—
90	C₂²×C₄×C₄₃	C₂×Q₈	1	2	yes	—
91	C₂²×C₄×C₄₃	C₂×Q₈	1	2	yes	—
92	C₂²×C₄×C₄₃	#41	1	8	yes	—
93	C₄⋊C₄×C₄₃	—	4	32	no	—
94	C₄⋊C₄×C₄₃	—	4	8	no	—
95	C₂²⋊C₄×C₄₃	—	4	8	no	—
96	C₂²⋊C₄×C₄₃	C₄⋊C₄	1	32	yes	complemented
97	C₄²×C₄₃	—	4	8	no	—
98	C₂³×C₄₃	—	2	4	no	—
99	C₂³×C₄₃	—	2	4	no	—
100	C₂³×C₄₃	—	2	4	no	—
101	C₂³×C₄₃	—	2	4	no	—
102	C₂³×C₄₃	—	2	4	no	—
103	C₂³×C₄₃	—	2	4	no	—
104	C₂³×C₄₃	—	2	16	no	—
105	C₂³×C₄₃	—	2	16	no	—
106	C₂³×C₄₃	C₂×C₄⋊C₄	1	8	yes	—
107	C₂³×C₄₃	C₂×C₄⋊C₄	1	4	yes	—
108	C₂³×C₄₃	#127	1	4	yes	—
109	C₂³×C₄₃	C₄⋊Q₈	1	4	yes	—
110	C₂³×C₄₃	C₄⋊Q₈	1	8	yes	—
111	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
112	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
113	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
114	C₂³×C₄₃	C₂²×Q₈	1	1	yes	characteristic
115	C₂³×C₄₃	C₂²×Q₈	1	2	yes	—
116	C₂³×C₄₃	C₂×#41	1	4	yes	—
117	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
118	C₂×C₄×C₄₃	—	2	8	no	—
119	C₂×C₄×C₄₃	—	2	4	no	—
120	C₂×C₄×C₄₃	—	2	8	no	—
121	C₂×C₄×C₄₃	—	2	4	no	—
122	C₂×C₄×C₄₃	—	2	4	no	—
123	C₂×C₄×C₄₃	—	2	4	no	—
124	C₂×C₄×C₄₃	—	2	4	no	—
125	C₂×C₄×C₄₃	—	2	4	no	—
126	C₂×C₄×C₄₃	—	2	16	no	—
127	C₂×C₄×C₄₃	—	2	16	no	—
128	C₂×C₄×C₄₃	—	2	8	no	—
129	C₂×C₄×C₄₃	—	2	16	no	—
130	C₂×C₄×C₄₃	—	4	16	no	—
131	C₂×C₄×C₄₃	—	4	32	no	—
132	C₂×C₄×C₄₃	—	4	4	no	—
133	C₂×C₄×C₄₃	—	4	4	no	—
134	C₂×C₄×C₄₃	—	4	8	no	—
135	C₂×C₄×C₄₃	—	4	4	no	—
136	C₂×C₄×C₄₃	—	4	4	no	—
137	C₂×C₄×C₄₃	—	4	4	no	—
138	C₂×C₄×C₄₃	—	4	8	no	—
139	C₂×C₄×C₄₃	—	4	8	no	—
140	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	16	yes	—
141	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	4	yes	—
142	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	4	yes	—
143	#13965	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
144	C₂²×C₄₃	—	2	4	no	—
145	C₂²×C₄₃	—	2	8	no	—
146	C₂²×C₄₃	—	2	16	no	—
147	C₂²×C₄₃	—	2	8	no	—
148	C₂²×C₄₃	—	2	16	no	—
149	C₂²×C₄₃	—	2	4	no	—
150	C₂²×C₄₃	#384	1	8	yes	—
151	C₂²×C₄₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
152	C₂²×C₄₃	C₂²×C₄⋊C₄	1	2	yes	—
153	C₂²×C₄₃	C₄×#41	1	2	yes	—
154	C₂²×C₄₃	#518	1	2	yes	—
155	C₂²×C₄₃	#525	1	2	yes	—
156	C₂²×C₄₃	C₂×#127	1	1	yes	characteristic
157	C₂²×C₄₃	C₂×C₄⋊Q₈	1	1	yes	characteristic
158	C₂²×C₄₃	C₂×C₄⋊Q₈	1	2	yes	—
159	C₂²×C₄₃	#533	1	2	yes	—
160	C₂²×C₄₃	#534	1	2	yes	—
161	C₂²×C₄₃	#543	1	2	yes	—
162	C₂²×C₄₃	#546	1	8	yes	—
163	C₂²×C₄₃	#554	1	8	yes	—
164	C₄×C₄₃	—	2	4	no	—
165	C₄×C₄₃	—	2	4	no	—
166	C₄×C₄₃	—	2	16	no	—
167	C₄×C₄₃	—	4	8	no	—
168	C₄×C₄₃	—	8	4	no	—
169	C₂×#385	C₂×C₄₃	1	4	yes	—
170	C₂×#380	C₂×C₄₃	1	1	yes	characteristic
171	C₂×C₄×C₂²⋊C₄	C₂×C₄₃	1	1	yes	characteristic
172	C₂²×#95	C₂×C₄₃	1	1	yes	characteristic
173	#1444	C₂×C₄₃	1	4	yes	complemented
174	C₄⋊#95	C₂×C₄₃	1	4	yes	complemented
175	C₂×C₄₃	—	2	8	no	—
176	C₂×C₄₃	C₂×#384	1	1	yes	characteristic
177	C₂×C₄₃	#2296	1	1	yes	characteristic
178	C₂×C₄₃	#2315	1	1	yes	characteristic
179	C₂×C₄₃	#2349	1	4	yes	—
180	C₂×C₄₃	#2539	1	2	yes	—
181	C₂×C₄₃	#2549	1	4	yes	—
182	C₂×C₄₃	#2583	1	2	yes	—
183	C₂⁴×C₄	C₂²×C₄₃	1	2	yes	—
184	C₂⁴×C₄	C₂²×C₄₃	1	1	yes	characteristic
185	C₂²×C₄⋊C₄	C₂²×C₄₃	1	8	yes	—
186	C₂²×C₄⋊C₄	C₂²×C₄₃	1	2	yes	—
187	C₂²×C₂²⋊C₄	C₂²×C₄₃	1	2	yes	—
188	C₂²×C₂²⋊C₄	C₂²×C₄₃	1	2	yes	—
189	C₂²×C₄²	C₂²×C₄₃	1	2	yes	—
190	#385	—	2	16	no	—
191	#380	—	2	4	no	—
192	C₄×C₂²⋊C₄	C₄×C₄₃	1	8	yes	complemented
193	C₂×#95	—	2	4	no	—
194	C₂×#95	C₂²×C₄₃	1	2	yes	—
195	C₂×#95	C₂²×C₄₃	1	2	yes	—
196	C₂×#95	C₂²×C₄₃	1	8	yes	—
197	C₂×#95	C₂²×C₄₃	1	2	yes	—
198	C₂×#95	C₂²×C₄₃	1	2	yes	—
199	C₄₃	#13965	1	1	yes	characteristic, direct product factor, Sylow
200	C₂⁵	C₂³×C₄₃	1	1	yes	characteristic
201	C₂³×C₄	—	2	4	no	—
202	C₂³×C₄	—	2	8	no	—
203	C₂³×C₄	—	2	8	no	—
204	C₂³×C₄	—	4	4	no	—
205	C₂³×C₄	—	4	4	no	—
206	C₂³×C₄	C₂×C₄×C₄₃	1	4	yes	—
207	C₂³×C₄	D₄×C₄₃	1	4	yes	—
208	C₂³×C₄	Q₈×C₄₃	1	4	yes	—
209	C₂³×C₄	C₂³×C₄₃	1	4	yes	—
210	C₂³×C₄	C₂³×C₄₃	1	4	yes	—
211	C₂³×C₄	C₂³×C₄₃	1	4	yes	—
212	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
213	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
214	C₂×C₄⋊C₄	—	2	4	no	—
215	C₂×C₄⋊C₄	—	2	16	no	—
216	C₂×C₄⋊C₄	—	2	16	no	—
217	C₂×C₄⋊C₄	—	4	8	no	—
218	C₂×C₄⋊C₄	—	4	4	no	—
219	C₂×C₂²⋊C₄	—	2	4	no	—
220	C₂×C₂²⋊C₄	—	2	8	no	—
221	C₂×C₂²⋊C₄	C₂×C₄×C₄₃	1	8	yes	—
222	C₂×C₂²⋊C₄	D₄×C₄₃	1	8	yes	—
223	C₂×C₂²⋊C₄	Q₈×C₄₃	1	8	yes	—
224	C₂×C₄²	—	4	4	no	—
225	C₂×C₄²	C₂×C₄×C₄₃	1	8	yes	complemented
226	#95	—	2	4	no	—
227	#95	—	2	4	no	—
228	#95	—	2	4	no	—
229	#95	—	2	16	no	—
230	#95	C₂×C₄×C₄₃	1	8	yes	complemented
231	C₂⁴	—	2	4	no	—
232	C₂⁴	—	2	4	no	—
233	C₂⁴	C₂²×C₄×C₄₃	1	2	yes	—
234	C₂⁴	C₂×D₄×C₄₃	1	4	yes	—
235	C₂⁴	C₂×D₄×C₄₃	1	2	yes	—
236	C₂⁴	C₂×Q₈×C₄₃	1	4	yes	—
237	C₂⁴	C₂×Q₈×C₄₃	1	2	yes	—
238	C₂⁴	C₂⁴×C₄₃	1	1	yes	characteristic
239	C₂²×C₄	—	2	8	no	—
240	C₂²×C₄	—	2	8	no	—
241	C₂²×C₄	—	2	4	no	—
242	C₂²×C₄	—	2	4	no	—
243	C₂²×C₄	—	2	16	no	—
244	C₂²×C₄	—	2	4	no	—
245	C₂²×C₄	—	2	8	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	8	no	—
248	C₂²×C₄	—	2	4	no	—
249	C₂²×C₄	—	2	4	no	—
250	C₂²×C₄	—	2	4	no	—
251	C₂²×C₄	—	2	8	no	—
252	C₂²×C₄	—	2	8	no	—
253	C₂²×C₄	—	4	8	no	—
254	C₂²×C₄	—	4	8	no	—
255	C₂²×C₄	—	4	8	no	—
256	C₂²×C₄	—	4	32	no	—
257	C₂²×C₄	—	4	8	no	—
258	C₂²×C₄	—	4	8	no	—
259	C₂²×C₄	C₄⋊C₄×C₄₃	1	16	yes	complemented
260	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
261	C₂²×C₄	C₂²×C₄×C₄₃	1	8	yes	—
262	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
263	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
264	C₂²×C₄	C₂×D₄×C₄₃	1	8	yes	—
265	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
266	C₂²×C₄	C₂×Q₈×C₄₃	1	8	yes	—
267	C₂²×C₄	C₂×Q₈×C₄₃	1	2	yes	—
268	C₂²×C₄	C₂×Q₈×C₄₃	1	2	yes	—
269	C₂²×C₄	#41×C₄₃	1	8	yes	—
270	C₄⋊C₄	—	4	32	no	—
271	C₄⋊C₄	—	4	8	no	—
272	C₂²⋊C₄	—	4	8	no	—
273	C₂²⋊C₄	C₄⋊C₄×C₄₃	1	32	yes	complemented
274	C₄²	—	4	8	no	—
275	C₂³	—	2	4	no	—
276	C₂³	—	2	4	no	—
277	C₂³	—	2	4	no	—
278	C₂³	—	2	4	no	—
279	C₂³	—	2	4	no	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	16	no	—
282	C₂³	—	2	16	no	—
283	C₂³	C₂×C₄⋊C₄×C₄₃	1	8	yes	—
284	C₂³	C₂×C₄⋊C₄×C₄₃	1	4	yes	—
285	C₂³	#127×C₄₃	1	4	yes	—
286	C₂³	C₄⋊Q₈×C₄₃	1	4	yes	—
287	C₂³	C₄⋊Q₈×C₄₃	1	8	yes	—
288	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
289	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
290	C₂³	C₂²×D₄×C₄₃	1	2	yes	—
291	C₂³	C₂²×Q₈×C₄₃	1	1	yes	characteristic
292	C₂³	C₂²×Q₈×C₄₃	1	2	yes	—
293	C₂³	C₂×#41×C₄₃	1	4	yes	—
294	C₂³	H(5,𝔽₂)×C₄₃	1	4	yes	—
295	C₂×C₄	—	2	8	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	8	no	—
298	C₂×C₄	—	2	4	no	—
299	C₂×C₄	—	2	4	no	—
300	C₂×C₄	—	2	4	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	4	no	—
303	C₂×C₄	—	2	16	no	—
304	C₂×C₄	—	2	16	no	—
305	C₂×C₄	—	2	8	no	—
306	C₂×C₄	—	2	16	no	—
307	C₂×C₄	—	4	16	no	—
308	C₂×C₄	—	4	32	no	—
309	C₂×C₄	—	4	4	no	—
310	C₂×C₄	—	4	4	no	—
311	C₂×C₄	—	4	8	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	4	4	no	—
314	C₂×C₄	—	4	4	no	—
315	C₂×C₄	—	4	8	no	—
316	C₂×C₄	—	4	8	no	—
317	C₂×C₄	C₂×C₄⋊C₄×C₄₃	1	16	yes	—
318	C₂×C₄	C₂×C₄⋊C₄×C₄₃	1	4	yes	—
319	C₂×C₄	C₂×C₄⋊C₄×C₄₃	1	4	yes	—
320	C₂²	—	2	8	no	—
321	C₂²	—	2	16	no	—
322	C₂²	—	2	8	no	—
323	C₂²	—	2	16	no	—
324	C₂²	—	2	4	no	—
325	C₂²	—	2	4	no	—
326	C₂²	C₄₃×#384	1	8	yes	—
327	C₂²	C₂²×C₄⋊C₄×C₄₃	1	2	yes	—
328	C₂²	C₂²×C₄⋊C₄×C₄₃	1	1	yes	characteristic
329	C₂²	C₄×#41×C₄₃	1	2	yes	—
330	C₂²	C₄₃×#518	1	2	yes	—
331	C₂²	C₄₃×#525	1	2	yes	—
332	C₂²	C₂×#127×C₄₃	1	1	yes	characteristic
333	C₂²	C₂×C₄⋊Q₈×C₄₃	1	1	yes	characteristic
334	C₂²	C₂×C₄⋊Q₈×C₄₃	1	2	yes	—
335	C₂²	C₄₃×#533	1	2	yes	—
336	C₂²	C₄₃×#534	1	2	yes	—
337	C₂²	C₄₃×#543	1	2	yes	—
338	C₂²	C₄₃×#546	1	8	yes	—
339	C₂²	C₄₃×#554	1	8	yes	—
340	C₄	—	2	16	no	—
341	C₄	—	2	4	no	—
342	C₄	—	2	4	no	—
343	C₄	—	4	8	no	—
344	C₄	—	8	4	no	—
345	C₂	—	2	8	no	—
346	C₂	C₂×C₄₃×#384	1	1	yes	characteristic
347	C₂	C₄₃×#2296	1	1	yes	characteristic
348	C₂	C₄₃×#2315	1	1	yes	characteristic
349	C₂	C₄₃×#2349	1	4	yes	—
350	C₂	C₄₃×#2539	1	2	yes	—
351	C₂	C₄₃×#2549	1	4	yes	—
352	C₂	C₄₃×#2583	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₄₃	C₂⁴
commutator	C₂³	C₂³×C₄×C₄₃
Frattini, cosocle	C₂⁴	C₂⁴×C₄₃
prime radical	C₂⁵×C₄₃	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
5. C₄₃×#1444	C₂	semidirect
6. C₄₃×C₄⋊#95	C₂	semidirect
16. C₄×C₂²⋊C₄×C₄₃	C₄	semidirect
48. C₂×C₄²×C₄₃	C₂×C₄	semidirect
53. #95×C₄₃	C₂×C₄	semidirect
82. C₂²×C₄×C₄₃	C₄⋊C₄	semidirect
96. C₂²⋊C₄×C₄₃	C₄⋊C₄	semidirect
143. #13965	C₄₃	direct (N × H)
173. #1444	C₂×C₄₃	semidirect
174. C₄⋊#95	C₂×C₄₃	semidirect
192. C₄×C₂²⋊C₄	C₄×C₄₃	semidirect
199. C₄₃	#13965	direct (N × H)
225. C₂×C₄²	C₂×C₄×C₄₃	semidirect
230. #95	C₂×C₄×C₄₃	semidirect
259. C₂²×C₄	C₄⋊C₄×C₄₃	semidirect
273. C₂²⋊C₄	C₄⋊C₄×C₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₃×#385	2
C₂×C₄₃×#380	2
C₂×C₄×C₂²⋊C₄×C₄₃	2
C₂²×#95×C₄₃	2
C₄₃×#1444	2
C₄₃×C₄⋊#95	2
#13965	43

Subgroups — C43×#13965 #24933982

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#13965 #24933982