Subgroups — C₄₃×#28483 #24948500

Order 11008.

1210 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄₃×#465	C₂	1	4	yes	maximal, complemented
3	C₂×C₈×D₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#2540	C₂	1	2	yes	maximal, complemented
5	C₄₃×#2001	C₂	1	2	yes	maximal, complemented
6	C₄₃×#1999	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1983	C₂	1	2	yes	maximal, complemented
8	C₄×#106×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic
10	C₂²×SD₁₆×C₄₃	C₂²	1	2	yes	—
11	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
12	C₂³×C₈×C₄₃	C₂²	1	2	yes	—
13	C₂×#124×C₄₃	C₂²	1	2	yes	—
14	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	—
15	C₂×#121×C₄₃	C₂²	1	4	yes	—
16	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
17	C₄₃×#495	—	2	4	no	—
18	C₄₃×#465	—	2	16	no	—
19	C₈×D₄×C₄₃	—	2	4	no	—
20	C₂×#106×C₄₃	C₂²	1	2	yes	—
21	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
22	C₂×#103×C₄₃	C₂²	1	4	yes	—
23	C₂×#102×C₄₃	C₂²	1	4	yes	—
24	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
25	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
26	C₄₃×#399	—	2	2	no	—
27	C₄₃×#392	—	2	2	no	—
28	C₄₃×#390	—	2	4	no	—
29	C₄×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
30	C₄₃×#340	C₂²	1	2	yes	—
31	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
32	C₂²×D₄×C₄₃	—	2	4	no	—
33	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
34	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
35	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
36	C₂×Q₁₆×C₄₃	—	2	2	no	—
37	C₂×Q₁₆×C₄₃	—	4	2	no	—
38	C₂×SD₁₆×C₄₃	—	2	8	no	—
39	C₂×SD₁₆×C₄₃	—	2	4	no	—
40	C₂×D₈×C₄₃	—	2	2	no	—
41	C₂×D₈×C₄₃	—	4	2	no	—
42	C₂²×C₈×C₄₃	—	2	4	no	—
43	C₂²×C₈×C₄₃	—	2	8	no	—
44	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
45	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
47	#124×C₄₃	—	2	4	no	—
48	#124×C₄₃	—	2	4	no	—
49	C₂²⋊Q₈×C₄₃	—	2	8	no	—
50	C₂²⋊Q₈×C₄₃	—	4	4	no	—
51	#121×C₄₃	—	2	8	no	—
52	#121×C₄₃	—	4	4	no	—
53	C₄×D₄×C₄₃	—	2	2	no	—
54	C₄×D₄×C₄₃	—	2	2	no	—
55	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
56	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
57	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
58	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
59	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
60	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
61	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
62	C₂×C₂²⋊C₄×C₄₃	D₄	1	2	yes	—
63	C₂×C₄²×C₄₃	—	2	2	no	—
64	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
65	#106×C₄₃	D₄	1	8	yes	complemented
66	C₄⋊C₈×C₄₃	—	2	2	no	—
67	#103×C₄₃	—	2	8	no	—
68	#102×C₄₃	—	2	8	no	—
69	C₂²⋊C₈×C₄₃	—	2	4	no	—
70	C₄×C₈×C₄₃	D₄	1	4	yes	complemented
71	#95×C₄₃	—	2	2	no	—
72	C₂⁴×C₄₃	—	2	2	no	—
73	C₂⁴×C₄₃	C₂×D₄	1	2	yes	—
74	C₂×Q₈×C₄₃	—	2	4	no	—
75	C₂×Q₈×C₄₃	—	2	2	no	—
76	C₂×Q₈×C₄₃	—	2	2	no	—
77	C₂×Q₈×C₄₃	—	2	4	no	—
78	C₂×D₄×C₄₃	—	2	2	no	—
79	C₂×D₄×C₄₃	—	2	4	no	—
80	C₂×D₄×C₄₃	—	2	4	no	—
81	C₂×D₄×C₄₃	—	2	2	no	—
82	C₂×D₄×C₄₃	—	2	2	no	—
83	C₂×D₄×C₄₃	—	2	4	no	—
84	C₂×D₄×C₄₃	—	4	8	no	—
85	C₂×D₄×C₄₃	—	4	8	no	—
86	C₂×D₄×C₄₃	—	8	4	no	—
87	C₂²×C₄×C₄₃	—	2	2	no	—
88	C₂²×C₄×C₄₃	—	2	4	no	—
89	C₂²×C₄×C₄₃	—	2	2	no	—
90	C₂²×C₄×C₄₃	—	2	4	no	—
91	C₂²×C₄×C₄₃	—	2	4	no	—
92	C₂²×C₄×C₄₃	—	2	2	no	—
93	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
97	Q₁₆×C₄₃	—	4	4	no	—
98	SD₁₆×C₄₃	—	4	8	no	—
99	D₈×C₄₃	—	4	4	no	—
100	C₂×C₈×C₄₃	—	2	2	no	—
101	C₂×C₈×C₄₃	—	2	2	no	—
102	C₂×C₈×C₄₃	—	2	4	no	—
103	C₂×C₈×C₄₃	—	4	8	no	—
104	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
105	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
106	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
107	C₄⋊C₄×C₄₃	—	2	2	no	—
108	C₄⋊C₄×C₄₃	—	2	4	no	—
109	C₄⋊C₄×C₄₃	—	4	8	no	—
110	C₄⋊C₄×C₄₃	C₂×D₄	1	8	yes	—
111	C₂²⋊C₄×C₄₃	—	2	4	no	—
112	C₂²⋊C₄×C₄₃	—	4	8	no	—
113	C₂²⋊C₄×C₄₃	—	4	8	no	—
114	C₂²⋊C₄×C₄₃	—	4	4	no	—
115	C₂²⋊C₄×C₄₃	—	4	4	no	—
116	C₄²×C₄₃	—	8	2	no	—
117	C₄²×C₄₃	C₂×D₄	1	2	yes	—
118	C₄²×C₄₃	#41	1	2	yes	—
119	C₂³×C₄₃	—	2	2	no	—
120	C₂³×C₄₃	—	2	4	no	—
121	C₂³×C₄₃	—	2	2	no	—
122	C₂³×C₄₃	—	2	4	no	—
123	C₂³×C₄₃	—	4	2	no	—
124	C₂³×C₄₃	—	4	4	no	—
125	C₂³×C₄₃	—	4	4	no	—
126	C₂³×C₄₃	—	4	2	no	—
127	C₂³×C₄₃	—	4	2	no	—
128	C₂³×C₄₃	#135	1	4	yes	—
129	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
130	Q₈×C₄₃	—	4	2	no	—
131	Q₈×C₄₃	—	4	2	no	—
132	Q₈×C₄₃	—	4	4	no	—
133	D₄×C₄₃	—	2	8	no	—
134	D₄×C₄₃	—	4	2	no	—
135	D₄×C₄₃	—	4	2	no	—
136	D₄×C₄₃	—	4	4	no	—
137	D₄×C₄₃	—	8	16	no	—
138	C₂×C₄×C₄₃	—	2	2	no	—
139	C₂×C₄×C₄₃	—	2	2	no	—
140	C₂×C₄×C₄₃	—	2	2	no	—
141	C₂×C₄×C₄₃	—	2	8	no	—
142	C₂×C₄×C₄₃	—	2	4	no	—
143	C₂×C₄×C₄₃	—	4	4	no	—
144	C₂×C₄×C₄₃	—	4	4	no	—
145	C₂×C₄×C₄₃	—	4	2	no	—
146	C₂×C₄×C₄₃	—	4	2	no	—
147	C₂×C₄×C₄₃	—	4	4	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	4	4	no	—
150	C₂×C₄×C₄₃	#121	1	2	yes	—
151	C₂×C₄×C₄₃	#121	1	2	yes	—
152	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
154	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
155	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
156	C₈×C₄₃	—	2	2	no	—
157	C₈×C₄₃	—	4	2	no	—
158	C₈×C₄₃	#127	1	4	yes	—
159	#28483	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂²×C₄₃	—	2	8	no	—
161	C₂²×C₄₃	—	2	4	no	—
162	C₂²×C₄₃	—	4	4	no	—
163	C₂²×C₄₃	—	4	2	no	—
164	C₂²×C₄₃	—	4	2	no	—
165	C₂²×C₄₃	—	8	4	no	—
166	C₂²×C₄₃	—	8	4	no	—
167	C₂²×C₄₃	—	8	2	no	—
168	C₂²×C₄₃	—	8	2	no	—
169	C₂²×C₄₃	—	8	2	no	—
170	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
171	C₂²×C₄₃	D₄²	1	2	yes	—
172	C₂²×C₄₃	C₂×#135	1	2	yes	—
173	C₂²×C₄₃	#577	1	2	yes	—
174	C₄×C₄₃	—	2	2	no	—
175	C₄×C₄₃	—	2	2	no	—
176	C₄×C₄₃	—	4	8	no	—
177	C₄×C₄₃	—	4	2	no	—
178	C₄×C₄₃	—	8	2	no	—
179	C₄×C₄₃	C₂×#127	1	1	yes	characteristic
180	C₄×C₄₃	#535	1	1	yes	characteristic
181	C₄×C₄₃	#550	1	2	yes	—
182	C₂×#495	C₂×C₄₃	1	1	yes	characteristic, complemented
183	C₂×#465	C₂×C₄₃	1	4	yes	complemented
184	C₂×C₈×D₄	C₂×C₄₃	1	1	yes	characteristic, complemented
185	#2540	C₂×C₄₃	1	2	yes	complemented
186	#2001	C₂×C₄₃	1	2	yes	complemented
187	#1999	C₂×C₄₃	1	2	yes	complemented
188	#1983	C₂×C₄₃	1	2	yes	complemented
189	C₄×#106	C₂×C₄₃	1	1	yes	characteristic, complemented
190	C₂×C₄₃	—	4	4	no	—
191	C₂×C₄₃	—	16	2	no	—
192	C₂×C₄₃	#2541	1	1	yes	characteristic
193	C₂×C₄₃	#3050	1	1	yes	characteristic
194	C₂×C₄₃	#3060	1	1	yes	characteristic
195	C₂×C₄₃	#3282	1	4	yes	—
196	C₂²×Q₁₆	C₂²×C₄₃	1	1	yes	characteristic
197	C₂²×SD₁₆	C₂²×C₄₃	1	2	yes	—
198	C₂²×D₈	C₂²×C₄₃	1	1	yes	characteristic
199	C₂³×C₈	C₂²×C₄₃	1	2	yes	—
200	C₂×#124	C₂²×C₄₃	1	2	yes	—
201	C₂×C₂²⋊Q₈	C₂²×C₄₃	1	4	yes	—
202	C₂×#121	C₂²×C₄₃	1	4	yes	—
203	C₂×C₄×D₄	C₂²×C₄₃	1	1	yes	characteristic
204	#495	—	2	4	no	—
205	#465	—	2	16	no	—
206	C₈×D₄	—	2	4	no	—
207	C₂×#106	C₂²×C₄₃	1	2	yes	—
208	C₂×C₄⋊C₈	C₂²×C₄₃	1	1	yes	characteristic
209	C₂×#103	C₂²×C₄₃	1	4	yes	—
210	C₂×#102	C₂²×C₄₃	1	4	yes	—
211	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
212	C₂×C₄×C₈	C₂²×C₄₃	1	1	yes	characteristic
213	#399	—	2	2	no	—
214	#392	—	2	2	no	—
215	#390	—	2	4	no	—
216	C₄×C₄⋊C₄	C₂²×C₄₃	1	2	yes	—
217	#340	C₂²×C₄₃	1	2	yes	—
218	C₄₃	#28483	1	1	yes	characteristic, direct product factor, Sylow
219	C₂²×Q₈	C₂³×C₄₃	1	2	yes	—
220	C₂²×D₄	—	2	4	no	—
221	C₂²×D₄	D₄×C₄₃	1	1	yes	characteristic
222	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
223	C₂³×C₄	C₂³×C₄₃	1	2	yes	—
224	C₂×Q₁₆	—	2	2	no	—
225	C₂×Q₁₆	—	4	2	no	—
226	C₂×SD₁₆	—	2	8	no	—
227	C₂×SD₁₆	—	2	4	no	—
228	C₂×D₈	—	2	2	no	—
229	C₂×D₈	—	4	2	no	—
230	C₂²×C₈	—	2	4	no	—
231	C₂²×C₈	—	2	8	no	—
232	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
233	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
234	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
235	#124	—	2	4	no	—
236	#124	—	2	4	no	—
237	C₂²⋊Q₈	—	2	8	no	—
238	C₂²⋊Q₈	—	4	4	no	—
239	#121	—	2	8	no	—
240	#121	—	4	4	no	—
241	C₄×D₄	—	2	2	no	—
242	C₄×D₄	—	2	2	no	—
243	C₂×C₄⋊C₄	—	2	4	no	—
244	C₂×C₄⋊C₄	D₄×C₄₃	1	1	yes	characteristic
245	C₂×C₄⋊C₄	C₂³×C₄₃	1	4	yes	—
246	C₂×C₂²⋊C₄	—	2	4	no	—
247	C₂×C₂²⋊C₄	—	2	4	no	—
248	C₂×C₂²⋊C₄	—	2	2	no	—
249	C₂×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₂²⋊C₄	D₄×C₄₃	1	2	yes	—
251	C₂×C₄²	—	2	2	no	—
252	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
253	#106	D₄×C₄₃	1	8	yes	complemented
254	C₄⋊C₈	—	2	2	no	—
255	#103	—	2	8	no	—
256	#102	—	2	8	no	—
257	C₂²⋊C₈	—	2	4	no	—
258	C₄×C₈	D₄×C₄₃	1	4	yes	complemented
259	#95	—	2	2	no	—
260	C₂⁴	—	2	2	no	—
261	C₂⁴	C₂×D₄×C₄₃	1	2	yes	—
262	C₂×Q₈	—	2	4	no	—
263	C₂×Q₈	—	2	2	no	—
264	C₂×Q₈	—	2	2	no	—
265	C₂×Q₈	—	2	4	no	—
266	C₂×D₄	—	2	4	no	—
267	C₂×D₄	—	2	2	no	—
268	C₂×D₄	—	2	4	no	—
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	4	no	—
272	C₂×D₄	—	4	8	no	—
273	C₂×D₄	—	4	8	no	—
274	C₂×D₄	—	8	4	no	—
275	C₂²×C₄	—	2	4	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	4	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	4	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
282	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
283	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
284	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
285	Q₁₆	—	4	4	no	—
286	SD₁₆	—	4	8	no	—
287	D₈	—	4	4	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	2	4	no	—
291	C₂×C₈	—	4	8	no	—
292	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
293	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
294	C₂×C₈	C₂×D₄×C₄₃	1	4	yes	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	4	no	—
297	C₄⋊C₄	—	4	8	no	—
298	C₄⋊C₄	C₂×D₄×C₄₃	1	8	yes	—
299	C₂²⋊C₄	—	2	4	no	—
300	C₂²⋊C₄	—	4	8	no	—
301	C₂²⋊C₄	—	4	8	no	—
302	C₂²⋊C₄	—	4	4	no	—
303	C₂²⋊C₄	—	4	4	no	—
304	C₄²	—	8	2	no	—
305	C₄²	C₂×D₄×C₄₃	1	2	yes	—
306	C₄²	#41×C₄₃	1	2	yes	—
307	C₂³	—	2	2	no	—
308	C₂³	—	2	4	no	—
309	C₂³	—	2	2	no	—
310	C₂³	—	2	4	no	—
311	C₂³	—	4	2	no	—
312	C₂³	—	4	4	no	—
313	C₂³	—	4	4	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	2	no	—
316	C₂³	#135×C₄₃	1	4	yes	—
317	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
318	Q₈	—	4	2	no	—
319	Q₈	—	4	2	no	—
320	Q₈	—	4	4	no	—
321	D₄	—	2	8	no	—
322	D₄	—	4	2	no	—
323	D₄	—	4	2	no	—
324	D₄	—	4	4	no	—
325	D₄	—	8	16	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	8	no	—
330	C₂×C₄	—	2	4	no	—
331	C₂×C₄	—	4	4	no	—
332	C₂×C₄	—	4	4	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	4	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	4	no	—
338	C₂×C₄	#121×C₄₃	1	2	yes	—
339	C₂×C₄	#121×C₄₃	1	2	yes	—
340	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
341	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
342	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
343	C₂×C₄	H(5,𝔽₂)×C₄₃	1	2	yes	—
344	C₈	—	2	2	no	—
345	C₈	—	4	2	no	—
346	C₈	#127×C₄₃	1	4	yes	—
347	C₂²	—	2	8	no	—
348	C₂²	—	2	4	no	—
349	C₂²	—	4	4	no	—
350	C₂²	—	4	2	no	—
351	C₂²	—	4	2	no	—
352	C₂²	—	8	4	no	—
353	C₂²	—	8	4	no	—
354	C₂²	—	8	2	no	—
355	C₂²	—	8	2	no	—
356	C₂²	—	8	2	no	—
357	C₂²	C₂×#121×C₄₃	1	1	yes	characteristic
358	C₂²	D₄²×C₄₃	1	2	yes	—
359	C₂²	C₂×#135×C₄₃	1	2	yes	—
360	C₂²	C₄₃×#577	1	2	yes	—
361	C₄	—	2	2	no	—
362	C₄	—	2	2	no	—
363	C₄	—	4	8	no	—
364	C₄	—	4	2	no	—
365	C₄	—	8	2	no	—
366	C₄	C₂×#127×C₄₃	1	1	yes	characteristic
367	C₄	C₄₃×#535	1	1	yes	characteristic
368	C₄	C₄₃×#550	1	2	yes	—
369	C₂	—	4	4	no	—
370	C₂	—	16	2	no	—
371	C₂	C₄₃×#2541	1	1	yes	characteristic
372	C₂	C₄₃×#3050	1	1	yes	characteristic
373	C₂	C₄₃×#3060	1	1	yes	characteristic
374	C₂	C₄₃×#3282	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₂×C₄×D₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₄₃×#495	C₂	semidirect
2. C₂×C₄₃×#465	C₂	semidirect
3. C₂×C₈×D₄×C₄₃	C₂	semidirect
4. C₄₃×#2540	C₂	semidirect
5. C₄₃×#2001	C₂	semidirect
6. C₄₃×#1999	C₂	semidirect
7. C₄₃×#1983	C₂	semidirect
8. C₄×#106×C₄₃	C₂	semidirect
65. #106×C₄₃	D₄	semidirect
70. C₄×C₈×C₄₃	D₄	semidirect
159. #28483	C₄₃	direct (N × H)
182. C₂×#495	C₂×C₄₃	semidirect
183. C₂×#465	C₂×C₄₃	semidirect
184. C₂×C₈×D₄	C₂×C₄₃	semidirect
185. #2540	C₂×C₄₃	semidirect
186. #2001	C₂×C₄₃	semidirect
187. #1999	C₂×C₄₃	semidirect
188. #1983	C₂×C₄₃	semidirect
189. C₄×#106	C₂×C₄₃	semidirect
218. C₄₃	#28483	direct (N × H)
253. #106	D₄×C₄₃	semidirect
258. C₄×C₈	D₄×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×#495	2
C₂×C₄₃×#465	2
C₂×C₈×D₄×C₄₃	2
C₄₃×#2540	2
C₄₃×#2001	2
C₄₃×#1999	2
C₄₃×#1983	2
C₄×#106×C₄₃	2
#28483	43

Subgroups — C43×#28483 #24948500

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#28483 #24948500