Subgroups — #25961586

Order 11008.

1748 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#533×D₄₃	C₂	1	1	yes	maximal, characteristic
2	#19143697	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143696	C₂	1	1	yes	maximal, characteristic, complemented
4	#19143696	C₂	1	1	yes	maximal, characteristic, complemented
5	#19143687	C₂	1	4	yes	maximal, complemented
6	#19143683	C₂	1	2	yes	maximal, complemented
7	#19143681	C₂	1	2	yes	maximal, complemented
8	#19143677	C₂	1	2	yes	maximal, complemented
9	#19143674	C₂	1	2	yes	maximal, complemented
10	#19143543	C₂	1	2	yes	maximal, complemented
11	#19143537	C₂	1	2	yes	maximal, complemented
12	#19143526	C₂	1	2	yes	maximal, complemented
13	#19143524	C₂	1	2	yes	maximal, complemented
14	#19143251	C₂	1	4	yes	maximal
15	#19143223	C₂	1	1	yes	maximal, characteristic
16	#431×D₄₃	C₂	1	1	yes	maximal, characteristic
17	C₄₃×#2986	C₂	1	1	yes	maximal, characteristic, complemented
18	#14583456	C₂²	1	1	yes	characteristic
19	#14583455	C₄	1	2	yes	—
20	#14583454	C₄	1	1	yes	characteristic
21	#14583454	C₄	1	1	yes	characteristic
22	#14583453	C₂²	1	2	yes	—
23	#14583453	C₂²	1	2	yes	—
24	#14583452	C₂²	1	2	yes	—
25	#14583451	C₄	1	2	yes	—
26	#14583451	C₄	1	2	yes	—
27	C₄⋊Q₈×D₄₃	C₄	1	1	yes	characteristic
28	C₄⋊Q₈×D₄₃	C₄	1	1	yes	characteristic
29	#125×D₄₃	C₄	1	2	yes	—
30	C₂²⋊Q₈×D₄₃	C₄	1	2	yes	—
31	C₂²⋊Q₈×D₄₃	C₄	1	2	yes	—
32	C₄×Q₈×D₄₃	C₂²	1	2	yes	—
33	C₄×Q₈×D₄₃	C₂²	1	2	yes	—
34	#117×D₄₃	C₂²	1	2	yes	—
35	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
36	#14583030	C₂²	1	2	yes	complemented
37	#14583030	C₂²	1	2	yes	complemented
38	#14583029	C₂²	1	4	yes	complemented
39	#14583029	C₂²	1	2	yes	complemented
40	#14583029	C₂²	1	2	yes	complemented
41	#14583028	C₂²	1	4	yes	complemented
42	#14583028	C₂²	1	4	yes	complemented
43	#14583027	C₂²	1	4	yes	complemented
44	#14583027	C₂²	1	4	yes	complemented
45	#14583026	C₂²	1	4	yes	complemented
46	#14583026	C₂²	1	2	yes	complemented
47	#14583026	C₂²	1	2	yes	complemented
48	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	complemented
49	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	complemented
50	C₈×Dic₈₆	C₂²	1	2	yes	complemented
51	C₈×Dic₈₆	C₂²	1	4	yes	complemented
52	C₈×Dic₈₆	C₂²	1	2	yes	complemented
53	#14583023	C₂²	1	2	yes	complemented
54	#14583023	C₂²	1	4	yes	complemented
55	#14583023	C₂²	1	2	yes	complemented
56	#14582960	C₂²	1	4	yes	—
57	#14582957	C₂²	1	4	yes	—
58	#14582957	C₂²	1	4	yes	—
59	#14582955	C₂²	1	1	yes	characteristic
60	#14582955	C₂²	1	1	yes	characteristic
61	#14582955	C₂²	1	4	yes	—
62	#14582954	C₂²	1	4	yes	—
63	#14582953	C₂²	1	2	yes	—
64	#14582952	C₂²	1	1	yes	characteristic
65	#14582952	C₂²	1	1	yes	characteristic
66	#14582951	C₂²	1	4	yes	—
67	#14582951	C₂²	1	1	yes	characteristic
68	#14582951	C₂²	1	1	yes	characteristic
69	#14582950	C₂²	1	2	yes	—
70	#14582950	C₂²	1	4	yes	—
71	#14582950	C₂²	1	2	yes	—
72	#14582949	C₂²	1	2	yes	—
73	#14582924	C₂²	1	4	yes	—
74	#14582924	C₂²	1	4	yes	—
75	#14582921	C₂²	1	1	yes	characteristic
76	#14582921	C₂²	1	1	yes	characteristic
77	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic
78	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic
79	#14582861	C₂²	1	2	yes	—
80	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	—
81	#14582856	C₂²	1	4	yes	—
82	#14582853	C₂²	1	4	yes	—
83	C₄×#10621872	C₂²	1	2	yes	—
84	C₄×C₈×D₄₃	C₂²	1	2	yes	—
85	C₄₃×#533	C₂²	1	1	yes	characteristic
86	C₄₃×#446	C₂²	1	2	yes	complemented
87	C₄₃×#446	C₂²	1	2	yes	complemented
88	C₈×Q₈×C₄₃	C₂²	1	2	yes	complemented
89	C₈×Q₈×C₄₃	C₂²	1	2	yes	complemented
90	C₄₃×#433	C₂²	1	4	yes	—
91	C₄₃×#431	C₂²	1	1	yes	characteristic
92	C₄₃×#431	C₂²	1	1	yes	characteristic
93	C₂×Q₈×D₄₃	C₂×C₄	1	2	yes	—
94	C₂×Q₈×D₄₃	C₂×C₄	1	2	yes	—
95	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
96	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
97	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
98	C₂×#10621872	C₂³	1	2	yes	—
99	C₂×#10621872	C₂³	1	2	yes	—
100	C₂×C₈×D₄₃	C₂³	1	2	yes	—
101	C₂×C₈×D₄₃	C₂³	1	2	yes	—
102	#13063325	C₂×C₄	1	1	yes	characteristic
103	#13063325	C₂×C₄	1	1	yes	characteristic
104	#13063324	C₂×C₄	1	2	yes	—
105	#13063324	C₂×C₄	1	2	yes	—
106	#13063324	C₂×C₄	1	2	yes	—
107	#13063324	C₂×C₄	1	2	yes	—
108	#13063323	C₂×C₄	1	2	yes	—
109	#13063323	C₂×C₄	1	2	yes	—
110	#13063317	C₂×C₄	1	2	yes	—
111	#13063316	C₂×C₄	1	2	yes	—
112	#13063316	C₂×C₄	1	2	yes	—
113	#13063315	C₂×C₄	1	4	yes	—
114	#13063315	C₂×C₄	1	4	yes	—
115	#13063305	C₂×C₄	1	2	yes	—
116	#13063305	C₂×C₄	1	2	yes	—
117	#13063304	C₂×C₄	1	2	yes	—
118	#13063304	C₂×C₄	1	2	yes	—
119	#13063303	C₂×C₄	1	4	yes	—
120	#13063303	C₂×C₄	1	4	yes	—
121	#13063302	C₂×C₄	1	4	yes	—
122	#13063302	C₂×C₄	1	4	yes	—
123	#13063301	C₂×C₄	1	2	yes	—
124	#13063301	C₂×C₄	1	2	yes	—
125	Q₈×Dic₄₃	C₂×C₄	1	2	yes	—
126	Q₈×Dic₄₃	C₂×C₄	1	2	yes	—
127	C₄×Dic₈₆	C₂³	1	4	yes	—
128	C₄×Dic₈₆	C₂³	1	4	yes	—
129	C₄×Dic₈₆	C₂³	1	2	yes	—
130	C₄×Dic₈₆	C₂³	1	2	yes	—
131	#13063290	C₂×C₄	1	2	yes	—
132	#13063290	C₂×C₄	1	2	yes	—
133	#13063290	C₂×C₄	1	4	yes	—
134	#13063290	C₂×C₄	1	4	yes	—
135	#13063284	C₂³	1	2	yes	—
136	#13063283	C₂×C₄	1	2	yes	—
137	#13063283	C₂×C₄	1	2	yes	—
138	#13063282	C₂³	1	4	yes	—
139	#13063281	C₂×C₄	1	4	yes	—
140	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
141	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
142	C₄⋊C₄×D₄₃	C₂×C₄	1	4	yes	—
143	C₄⋊C₄×D₄₃	C₂×C₄	1	4	yes	—
144	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
145	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
146	C₂²⋊C₄×D₄₃	C₂×C₄	1	4	yes	—
147	C₂×C₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
148	C₂×C₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
149	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
150	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
151	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
152	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
153	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
154	C₄²×D₄₃	C₂³	1	1	yes	characteristic
155	C₄²×D₄₃	C₂³	1	1	yes	characteristic
156	C₄²×D₄₃	C₂³	1	1	yes	characteristic
157	C₄²×D₄₃	C₂³	1	1	yes	characteristic
158	C₄²×D₄₃	C₂³	1	4	yes	—
159	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
160	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
161	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
162	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
163	C₄⋊(C₄₃⋊C₈)	C₂³	1	4	yes	—
164	C₄⋊(C₄₃⋊C₈)	C₂³	1	4	yes	—
165	Dic₄₃⋊C₈	C₂³	1	2	yes	—
166	Dic₄₃⋊C₈	C₂³	1	2	yes	—
167	Dic₄₃⋊C₈	C₂³	1	2	yes	—
168	Dic₄₃⋊C₈	C₂³	1	2	yes	—
169	Dic₄₃⋊C₈	C₂³	1	4	yes	—
170	Dic₄₃⋊C₈	C₂³	1	4	yes	—
171	Dic₄₃⋊C₈	C₂³	1	4	yes	—
172	Dic₄₃⋊C₈	C₂³	1	4	yes	—
173	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
174	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
175	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
176	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
177	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
178	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
179	#13063236	C₂³	1	4	yes	—
180	#13063235	C₂³	1	2	yes	—
181	#13063235	C₂³	1	2	yes	—
182	#13063235	C₂³	1	4	yes	—
183	#13063235	C₂³	1	4	yes	—
184	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
185	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
186	C₄×C₄₃⋊C₈	C₂³	1	4	yes	—
187	C₈×Dic₄₃	C₂³	1	2	yes	—
188	C₈×Dic₄₃	C₂³	1	2	yes	—
189	C₈×Dic₄₃	C₂³	1	4	yes	—
190	C₈×Dic₄₃	C₂³	1	4	yes	—
191	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
192	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
193	#125×C₄₃	C₂×C₄	1	2	yes	—
194	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
195	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
196	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
197	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
198	#117×C₄₃	C₂³	1	2	yes	—
199	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
200	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
201	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
202	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
203	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
204	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
205	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
206	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
207	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
208	#97×C₄₃	C₂³	1	4	yes	—
209	C₄×C₈×C₄₃	C₂³	1	2	yes	—
210	C₄×C₈×C₄₃	C₂³	1	2	yes	—
211	C₄×C₈×C₄₃	C₂³	1	4	yes	—
212	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
213	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
214	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
215	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
216	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
217	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
218	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
219	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
220	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
221	Q₈×D₄₃	—	2	8	no	—
222	Q₈×D₄₃	—	4	4	no	—
223	C₂×C₄×D₄₃	—	2	4	no	—
224	C₂×C₄×D₄₃	—	2	2	no	—
225	C₂×C₄×D₄₃	—	2	2	no	—
226	C₂×C₄×D₄₃	—	4	2	no	—
227	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
228	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
229	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
230	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
231	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
232	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
233	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
234	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
235	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
236	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
237	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
238	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
239	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
240	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
241	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
242	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
243	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
244	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
245	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
246	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
247	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
248	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
249	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
250	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
251	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
252	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
253	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
254	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
255	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
256	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
257	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
258	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
259	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
260	C₄²×C₄₃	C₂⁴	1	4	yes	—
261	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
262	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
263	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
264	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
265	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
266	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
267	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
268	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
269	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
270	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
271	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
272	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
273	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
274	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
275	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
276	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
277	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
278	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
279	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
280	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
281	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
282	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
283	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
284	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
285	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
286	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
287	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
288	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
289	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
290	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
291	C₄×Dic₄₃	C₂⁴	1	4	yes	—
292	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
293	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
294	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
295	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
296	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
297	#10621872	—	2	4	no	—
298	#10621872	—	2	4	no	—
299	C₈×D₄₃	—	2	4	no	—
300	C₈×D₄₃	—	2	4	no	—
301	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
302	C₂²×D₄₃	—	2	2	no	—
303	C₂²×D₄₃	—	2	2	no	—
304	C₂²×D₄₃	—	4	1	no	—
305	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
306	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
307	Q₈×C₄₃	—	2	4	no	—
308	Q₈×C₄₃	—	2	4	no	—
309	C₂×C₄×C₄₃	—	2	2	no	—
310	C₂×C₄×C₄₃	—	2	2	no	—
311	C₂×C₄×C₄₃	—	2	1	no	—
312	C₂×C₄×C₄₃	—	2	1	no	—
313	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
314	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
315	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
316	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
317	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
318	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
319	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
320	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
321	C₂×Dic₄₃	—	2	2	no	—
322	C₂×Dic₄₃	—	2	2	no	—
323	C₂×Dic₄₃	—	4	1	no	—
324	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
325	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
326	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
327	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
328	C₂×Dic₄₃	C₂³×C₄	1	4	yes	—
329	C₂×Dic₄₃	C₂³×C₄	1	4	yes	—
330	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
331	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
332	C₄×D₄₃	—	2	2	no	—
333	C₄×D₄₃	—	2	2	no	—
334	C₄×D₄₃	—	2	8	no	—
335	C₄×D₄₃	—	2	2	no	—
336	C₄×D₄₃	—	2	2	no	—
337	C₄×D₄₃	—	2	2	no	—
338	C₄×D₄₃	—	2	1	no	—
339	C₄×D₄₃	—	2	1	no	—
340	C₄×D₄₃	—	2	2	no	—
341	C₄×D₄₃	—	2	2	no	—
342	C₄×D₄₃	—	4	1	no	—
343	C₄×D₄₃	—	4	1	no	—
344	C₄×D₄₃	—	4	4	no	—
345	C₄×D₄₃	#131	1	4	yes	—
346	C₄×D₄₃	2₋¹⁺⁴	1	2	yes	—
347	C₄×D₄₃	2₋¹⁺⁴	1	2	yes	—
348	Dic₈₆	—	2	4	no	—
349	Dic₈₆	—	2	4	no	—
350	Dic₈₆	—	2	8	no	—
351	Dic₈₆	—	4	4	no	—
352	C₈×C₄₃	—	2	2	no	—
353	C₈×C₄₃	—	2	2	no	—
354	C₈×C₄₃	—	2	2	no	—
355	C₈×C₄₃	—	2	2	no	—
356	C₄₃⋊C₈	—	2	2	no	—
357	C₄₃⋊C₈	—	2	2	no	—
358	C₄₃⋊C₈	—	2	2	no	—
359	C₄₃⋊C₈	—	2	2	no	—
360	#60250	—	43	1	no	maximal, Sylow
361	C₂²×C₄₃	—	2	1	no	—
362	C₂²×C₄₃	—	2	1	no	—
363	C₂²×C₄₃	—	2	1	no	—
364	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
365	C₂×D₄₃	—	2	1	no	—
366	C₂×D₄₃	—	2	1	no	—
367	C₂×D₄₃	—	2	1	no	—
368	C₂×D₄₃	—	2	1	no	—
369	C₂×D₄₃	—	4	4	no	—
370	C₂×D₄₃	#519	1	2	yes	—
371	C₂×D₄₃	C₂×#131	1	2	yes	—
372	C₄×C₄₃	—	2	1	no	—
373	C₄×C₄₃	—	2	4	no	—
374	C₄×C₄₃	—	2	1	no	—
375	C₄×C₄₃	—	2	4	no	—
376	C₄×C₄₃	—	2	1	no	—
377	C₄×C₄₃	C₂×#131	1	2	yes	—
378	C₄×C₄₃	#568	1	2	yes	—
379	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
380	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
381	Dic₄₃	—	2	1	no	—
382	Dic₄₃	—	2	4	no	—
383	Dic₄₃	—	2	1	no	—
384	Dic₄₃	—	2	4	no	—
385	Dic₄₃	—	2	1	no	—
386	Dic₄₃	—	2	1	no	—
387	Dic₄₃	#519	1	2	yes	—
388	Dic₄₃	C₂×#131	1	2	yes	—
389	C₂×#533	—	43	1	no	—
390	#2986	—	43	1	no	—
391	#2986	—	43	1	no	—
392	#2986	—	43	1	no	—
393	#2986	D₄₃	1	1	yes	characteristic, complemented
394	#2985	—	43	4	no	—
395	#2984	—	43	2	no	—
396	#2984	—	43	2	no	—
397	#2983	—	43	2	no	—
398	#2982	—	43	2	no	—
399	#2962	—	43	2	no	—
400	#2962	—	43	2	no	—
401	#2960	—	43	2	no	—
402	#2960	—	43	2	no	—
403	#2924	—	43	4	no	—
404	#2920	—	43	1	no	—
405	C₂×#431	—	43	1	no	—
406	C₂×C₄₃	—	4	1	no	—
407	C₂×C₄₃	C₂×#519	1	1	yes	characteristic
408	C₂×C₄₃	C₂²×#131	1	1	yes	characteristic
409	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
410	D₄₃	—	2	2	no	—
411	D₄₃	—	2	2	no	—
412	#533	—	43	1	no	—
413	#533	—	43	1	no	—
414	#533	—	43	2	no	—
415	#533	—	43	2	no	—
416	#533	—	43	2	no	—
417	#533	—	43	2	no	—
418	#533	—	43	2	no	—
419	#533	—	43	2	no	—
420	#533	—	43	1	no	—
421	#533	C₂×D₄₃	1	1	yes	characteristic
422	C₂×C₄⋊Q₈	—	43	1	no	—
423	C₂×C₄⋊Q₈	—	43	1	no	—
424	C₂×#125	—	43	2	no	—
425	C₂×C₂²⋊Q₈	—	43	2	no	—
426	C₂×C₂²⋊Q₈	—	43	2	no	—
427	C₂×C₄×Q₈	—	43	2	no	—
428	C₂×C₄×Q₈	—	43	2	no	—
429	C₂×#117	—	43	2	no	—
430	C₂²×C₄²	—	43	1	no	—
431	#446	—	43	2	no	—
432	#446	—	43	2	no	—
433	#446	—	43	4	no	—
434	#446	—	43	2	no	—
435	#446	—	43	2	no	—
436	#446	—	43	4	no	—
437	#446	—	43	4	no	—
438	#446	—	43	4	no	—
439	#446	—	43	4	no	—
440	#446	—	43	2	no	—
441	#446	—	43	2	no	—
442	#446	—	43	4	no	—
443	#446	C₂×D₄₃	1	2	yes	complemented
444	#446	C₂×D₄₃	1	2	yes	complemented
445	C₈×Q₈	—	43	2	no	—
446	C₈×Q₈	—	43	2	no	—
447	C₈×Q₈	—	43	4	no	—
448	C₈×Q₈	—	43	2	no	—
449	C₈×Q₈	—	43	2	no	—
450	C₈×Q₈	—	43	4	no	—
451	C₈×Q₈	—	43	2	no	—
452	C₈×Q₈	—	43	2	no	—
453	C₈×Q₈	C₂×D₄₃	1	2	yes	complemented
454	C₈×Q₈	C₂×D₄₃	1	2	yes	complemented
455	#433	—	43	4	no	—
456	#433	—	43	4	no	—
457	#433	—	43	4	no	—
458	#433	C₂×D₄₃	1	4	yes	—
459	#432	—	43	1	no	—
460	#432	—	43	1	no	—
461	#432	—	43	4	no	—
462	#432	—	43	2	no	—
463	#432	—	43	4	no	—
464	#431	—	43	1	no	—
465	#431	—	43	1	no	—
466	#431	—	43	1	no	—
467	#431	—	43	1	no	—
468	#431	—	43	4	no	—
469	#431	—	43	2	no	—
470	#431	—	43	2	no	—
471	#431	—	43	2	no	—
472	#431	—	43	4	no	—
473	#431	C₂×D₄₃	1	1	yes	characteristic
474	#431	C₂×D₄₃	1	1	yes	characteristic
475	#424	—	43	4	no	—
476	#424	—	43	4	no	—
477	#423	—	43	1	no	—
478	#423	—	43	1	no	—
479	C₂×C₄⋊C₈	—	43	1	no	—
480	C₂×C₄⋊C₈	—	43	1	no	—
481	#407	—	43	2	no	—
482	C₂×C₂²⋊C₈	—	43	2	no	—
483	#405	—	43	4	no	—
484	#405	—	43	4	no	—
485	C₄×M₁₆	—	43	2	no	—
486	C₂×C₄×C₈	—	43	2	no	—
487	C₄₃	#60250	1	1	yes	characteristic, complemented, Sylow
488	C₂²×Q₈	—	43	2	no	—
489	C₂²×Q₈	—	43	2	no	—
490	C₂³×C₄	—	43	1	no	—
491	C₂³×C₄	—	43	1	no	—
492	C₂³×C₄	—	43	1	no	—
493	C₂×M₁₆	—	43	2	no	—
494	C₂×M₁₆	—	43	2	no	—
495	C₂²×C₈	—	43	2	no	—
496	C₂²×C₈	—	43	2	no	—
497	C₄⋊Q₈	—	43	2	no	—
498	C₄⋊Q₈	—	43	2	no	—
499	C₄⋊Q₈	—	43	2	no	—
500	C₄⋊Q₈	—	43	2	no	—
501	C₄⋊Q₈	—	43	2	no	—
502	C₄⋊Q₈	—	43	2	no	—
503	C₄⋊Q₈	—	43	1	no	—
504	C₄⋊Q₈	—	43	1	no	—
505	C₄⋊Q₈	C₄×D₄₃	1	1	yes	characteristic
506	C₄⋊Q₈	C₄×D₄₃	1	1	yes	characteristic
507	#125	—	43	4	no	—
508	#125	—	43	4	no	—
509	#125	—	43	2	no	—
510	#125	—	43	2	no	—
511	#125	—	43	2	no	—
512	#125	C₄×D₄₃	1	2	yes	—
513	C₂²⋊Q₈	—	43	2	no	—
514	C₂²⋊Q₈	—	43	2	no	—
515	C₂²⋊Q₈	—	43	2	no	—
516	C₂²⋊Q₈	—	43	2	no	—
517	C₂²⋊Q₈	—	43	4	no	—
518	C₂²⋊Q₈	—	43	4	no	—
519	C₂²⋊Q₈	—	43	2	no	—
520	C₂²⋊Q₈	—	43	2	no	—
521	C₂²⋊Q₈	—	43	4	no	—
522	C₂²⋊Q₈	—	43	4	no	—
523	C₂²⋊Q₈	C₄×D₄₃	1	2	yes	—
524	C₂²⋊Q₈	C₄×D₄₃	1	2	yes	—
525	C₄×Q₈	—	43	2	no	—
526	C₄×Q₈	—	43	2	no	—
527	C₄×Q₈	—	43	2	no	—
528	C₄×Q₈	—	43	2	no	—
529	C₄×Q₈	—	43	4	no	—
530	C₄×Q₈	—	43	4	no	—
531	C₄×Q₈	—	43	4	no	—
532	C₄×Q₈	—	43	2	no	—
533	C₄×Q₈	—	43	2	no	—
534	C₄×Q₈	—	43	4	no	—
535	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
536	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
537	#117	—	43	2	no	—
538	#117	—	43	2	no	—
539	#117	—	43	2	no	—
540	#117	—	43	4	no	—
541	#117	—	43	4	no	—
542	#117	C₂²×D₄₃	1	2	yes	—
543	C₂×C₄⋊C₄	—	43	2	no	—
544	C₂×C₄⋊C₄	—	43	2	no	—
545	C₂×C₄⋊C₄	—	43	4	no	—
546	C₂×C₄⋊C₄	—	43	4	no	—
547	C₂×C₄⋊C₄	—	43	2	no	—
548	C₂×C₄⋊C₄	—	43	2	no	—
549	C₂×C₂²⋊C₄	—	43	4	no	—
550	C₂×C₄²	—	43	1	no	—
551	C₂×C₄²	—	43	1	no	—
552	C₂×C₄²	—	43	1	no	—
553	C₂×C₄²	—	43	1	no	—
554	C₂×C₄²	—	43	1	no	—
555	C₂×C₄²	—	43	1	no	—
556	C₂×C₄²	—	43	1	no	—
557	C₂×C₄²	—	43	4	no	—
558	C₂×C₄²	—	43	1	no	—
559	C₂×C₄²	—	43	1	no	—
560	C₂×C₄²	—	43	1	no	—
561	C₂×C₄²	—	43	1	no	—
562	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
563	C₄⋊C₈	—	43	2	no	—
564	C₄⋊C₈	—	43	2	no	—
565	C₄⋊C₈	—	43	2	no	—
566	C₄⋊C₈	—	43	2	no	—
567	C₄⋊C₈	—	43	4	no	—
568	C₄⋊C₈	—	43	4	no	—
569	C₄⋊C₈	—	43	4	no	—
570	C₄⋊C₈	—	43	4	no	—
571	C₄⋊C₈	—	43	1	no	—
572	C₄⋊C₈	—	43	1	no	—
573	C₄⋊C₈	—	43	1	no	—
574	C₄⋊C₈	—	43	1	no	—
575	C₄⋊C₈	—	43	4	no	—
576	C₄⋊C₈	—	43	4	no	—
577	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
578	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
579	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
580	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
581	C₄⋊C₈	C₂²×D₄₃	1	4	yes	—
582	C₄⋊C₈	C₂²×D₄₃	1	4	yes	—
583	C₂²⋊C₈	—	43	2	no	—
584	C₂²⋊C₈	—	43	2	no	—
585	C₂²⋊C₈	—	43	2	no	—
586	C₂²⋊C₈	—	43	2	no	—
587	C₂²⋊C₈	—	43	2	no	—
588	C₂²⋊C₈	—	43	2	no	—
589	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
590	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
591	#97	—	43	2	no	—
592	#97	—	43	2	no	—
593	#97	—	43	4	no	—
594	#97	—	43	4	no	—
595	#97	—	43	4	no	—
596	#97	C₂²×D₄₃	1	4	yes	—
597	C₄×C₈	—	43	2	no	—
598	C₄×C₈	—	43	2	no	—
599	C₄×C₈	—	43	4	no	—
600	C₄×C₈	—	43	4	no	—
601	C₄×C₈	—	43	2	no	—
602	C₄×C₈	—	43	2	no	—
603	C₄×C₈	—	43	4	no	—
604	C₄×C₈	C₂²×D₄₃	1	2	yes	—
605	C₄×C₈	C₂²×D₄₃	1	2	yes	—
606	C₄×C₈	C₂²×D₄₃	1	4	yes	—
607	C₂⁴	—	43	1	no	—
608	C₂×Q₈	—	43	4	no	—
609	C₂×Q₈	—	43	2	no	—
610	C₂×Q₈	—	43	2	no	—
611	C₂×Q₈	—	43	4	no	—
612	C₂×Q₈	—	86	8	no	—
613	C₂×Q₈	—	172	4	no	—
614	C₂×Q₈	C₂×C₄×D₄₃	1	2	yes	—
615	C₂×Q₈	C₂×C₄×D₄₃	1	2	yes	—
616	C₂²×C₄	—	43	1	no	—
617	C₂²×C₄	—	43	1	no	—
618	C₂²×C₄	—	43	1	no	—
619	C₂²×C₄	—	43	1	no	—
620	C₂²×C₄	—	43	1	no	—
621	C₂²×C₄	—	43	1	no	—
622	C₂²×C₄	—	43	1	no	—
623	C₂²×C₄	—	43	1	no	—
624	C₂²×C₄	—	43	1	no	—
625	C₂²×C₄	—	43	1	no	—
626	C₂²×C₄	—	43	1	no	—
627	C₂²×C₄	—	43	1	no	—
628	C₂²×C₄	—	43	4	no	—
629	C₂²×C₄	—	43	1	no	—
630	C₂²×C₄	—	43	1	no	—
631	C₂²×C₄	—	43	1	no	—
632	C₂²×C₄	—	43	4	no	—
633	C₂²×C₄	—	86	4	no	—
634	C₂²×C₄	—	86	2	no	—
635	C₂²×C₄	—	86	2	no	—
636	C₂²×C₄	—	172	2	no	—
637	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
638	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
639	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
640	M₁₆	—	86	4	no	—
641	M₁₆	—	86	4	no	—
642	C₂×C₈	—	43	2	no	—
643	C₂×C₈	—	43	2	no	—
644	C₂×C₈	—	43	2	no	—
645	C₂×C₈	—	43	2	no	—
646	C₂×C₈	—	86	4	no	—
647	C₂×C₈	—	86	4	no	—
648	C₂×C₈	C₂³×D₄₃	1	2	yes	—
649	C₂×C₈	C₂³×D₄₃	1	2	yes	—
650	C₂×C₈	C₂³×D₄₃	1	2	yes	—
651	C₂×C₈	C₂³×D₄₃	1	2	yes	—
652	C₄⋊C₄	—	43	4	no	—
653	C₄⋊C₄	—	43	4	no	—
654	C₄⋊C₄	—	43	2	no	—
655	C₄⋊C₄	—	43	2	no	—
656	C₄⋊C₄	—	43	4	no	—
657	C₄⋊C₄	—	43	4	no	—
658	C₄⋊C₄	—	43	4	no	—
659	C₄⋊C₄	—	43	4	no	—
660	C₄⋊C₄	—	43	4	no	—
661	C₄⋊C₄	—	43	4	no	—
662	C₄⋊C₄	—	43	4	no	—
663	C₄⋊C₄	—	43	4	no	—
664	C₄⋊C₄	—	43	2	no	—
665	C₄⋊C₄	—	43	2	no	—
666	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
667	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
668	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
669	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
670	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
671	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
672	C₂²⋊C₄	—	43	4	no	—
673	C₂²⋊C₄	—	43	4	no	—
674	C₂²⋊C₄	—	43	4	no	—
675	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
676	C₄²	—	43	1	no	—
677	C₄²	—	43	1	no	—
678	C₄²	—	43	1	no	—
679	C₄²	—	43	1	no	—
680	C₄²	—	43	1	no	—
681	C₄²	—	43	1	no	—
682	C₄²	—	43	1	no	—
683	C₄²	—	43	1	no	—
684	C₄²	—	43	1	no	—
685	C₄²	—	43	1	no	—
686	C₄²	—	43	4	no	—
687	C₄²	—	43	4	no	—
688	C₄²	—	43	1	no	—
689	C₄²	—	43	4	no	—
690	C₄²	—	43	1	no	—
691	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
692	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
693	C₄²	C₂³×D₄₃	1	1	yes	characteristic
694	C₄²	C₂³×D₄₃	1	1	yes	characteristic
695	C₄²	C₂³×D₄₃	1	4	yes	—
696	C₂³	—	43	1	no	—
697	C₂³	—	43	1	no	—
698	C₂³	—	86	2	no	—
699	C₂³	—	86	2	no	—
700	C₂³	—	172	1	no	—
701	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
702	Q₈	—	2	4	no	—
703	Q₈	—	2	4	no	—
704	Q₈	—	86	8	no	—
705	Q₈	—	86	4	no	—
706	Q₈	—	86	4	no	—
707	Q₈	—	172	4	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	2	1	no	—
711	C₂×C₄	—	2	1	no	—
712	C₂×C₄	—	43	1	no	—
713	C₂×C₄	—	43	1	no	—
714	C₂×C₄	—	43	4	no	—
715	C₂×C₄	—	43	2	no	—
716	C₂×C₄	—	43	2	no	—
717	C₂×C₄	—	43	1	no	—
718	C₂×C₄	—	43	1	no	—
719	C₂×C₄	—	43	1	no	—
720	C₂×C₄	—	43	1	no	—
721	C₂×C₄	—	43	4	no	—
722	C₂×C₄	—	43	4	no	—
723	C₂×C₄	—	86	2	no	—
724	C₂×C₄	—	86	2	no	—
725	C₂×C₄	—	86	2	no	—
726	C₂×C₄	—	86	2	no	—
727	C₂×C₄	—	86	8	no	—
728	C₂×C₄	—	86	2	no	—
729	C₂×C₄	—	86	2	no	—
730	C₂×C₄	—	86	2	no	—
731	C₂×C₄	—	86	2	no	—
732	C₂×C₄	—	86	2	no	—
733	C₂×C₄	—	86	1	no	—
734	C₂×C₄	—	86	1	no	—
735	C₂×C₄	—	172	1	no	—
736	C₂×C₄	—	172	1	no	—
737	C₂×C₄	—	172	4	no	—
738	C₂×C₄	—	172	1	no	—
739	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
740	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
741	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
742	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
743	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
744	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
745	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
746	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
747	C₈	—	2	2	no	—
748	C₈	—	2	2	no	—
749	C₈	—	2	2	no	—
750	C₈	—	2	2	no	—
751	C₈	—	86	2	no	—
752	C₈	—	86	2	no	—
753	C₈	—	86	2	no	—
754	C₈	—	86	2	no	—
755	C₂²	—	2	1	no	—
756	C₂²	—	2	1	no	—
757	C₂²	—	2	1	no	—
758	C₂²	—	43	2	no	—
759	C₂²	—	43	2	no	—
760	C₂²	—	86	1	no	—
761	C₂²	—	86	1	no	—
762	C₂²	—	86	1	no	—
763	C₂²	—	86	1	no	—
764	C₂²	—	172	4	no	—
765	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
766	C₄	—	2	1	no	—
767	C₄	—	2	1	no	—
768	C₄	—	2	4	no	—
769	C₄	—	2	1	no	—
770	C₄	—	2	4	no	—
771	C₄	—	43	2	no	—
772	C₄	—	43	2	no	—
773	C₄	—	86	1	no	—
774	C₄	—	86	1	no	—
775	C₄	—	86	4	no	—
776	C₄	—	86	1	no	—
777	C₄	—	86	1	no	—
778	C₄	—	86	4	no	—
779	C₄	#131×D₄₃	1	2	yes	—
780	C₄	#14583664	1	2	yes	—
781	C₄	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
782	C₄	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
783	C₂	—	4	1	no	—
784	C₂	—	86	2	no	—
785	C₂	—	86	2	no	—
786	C₂	#519×D₄₃	1	1	yes	characteristic
787	C₂	C₂×#131×D₄₃	1	1	yes	characteristic
788	C₂	C₂×#14583664	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2986	C₂
prime radical	C₂³×D₄₃	C₂²×C₄
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2986	D₄₃
hypocenter	C₄₃	#60250
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #2986

Complements

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

N	H ≅ G/N	type
2. #19143697	C₂	semidirect
3. #19143696	C₂	semidirect
4. #19143696	C₂	semidirect
5. #19143687	C₂	semidirect
6. #19143683	C₂	semidirect
7. #19143681	C₂	semidirect
8. #19143677	C₂	semidirect
9. #19143674	C₂	semidirect
10. #19143543	C₂	semidirect
11. #19143537	C₂	semidirect
12. #19143526	C₂	semidirect
13. #19143524	C₂	semidirect
17. C₄₃×#2986	C₂	semidirect
36. #14583030	C₂²	semidirect
37. #14583030	C₂²	semidirect
38. #14583029	C₂²	semidirect
39. #14583029	C₂²	semidirect
40. #14583029	C₂²	semidirect
41. #14583028	C₂²	semidirect
42. #14583028	C₂²	semidirect
43. #14583027	C₂²	semidirect
44. #14583027	C₂²	semidirect
45. #14583026	C₂²	semidirect
46. #14583026	C₂²	semidirect
47. #14583026	C₂²	semidirect
48. Q₈×C₄₃⋊C₈	C₂²	semidirect
49. Q₈×C₄₃⋊C₈	C₂²	semidirect
50. C₈×Dic₈₆	C₂²	semidirect
51. C₈×Dic₈₆	C₂²	semidirect
52. C₈×Dic₈₆	C₂²	semidirect
53. #14583023	C₂²	semidirect
54. #14583023	C₂²	semidirect
55. #14583023	C₂²	semidirect
86. C₄₃×#446	C₂²	semidirect
87. C₄₃×#446	C₂²	semidirect
88. C₈×Q₈×C₄₃	C₂²	semidirect
89. C₈×Q₈×C₄₃	C₂²	semidirect
393. #2986	D₄₃	semidirect
443. #446	C₂×D₄₃	semidirect
444. #446	C₂×D₄₃	semidirect
453. C₈×Q₈	C₂×D₄₃	semidirect
454. C₈×Q₈	C₂×D₄₃	semidirect
487. C₄₃	#60250	semidirect

Maximal subgroups

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

subgroup	index
#533×D₄₃	2
#19143697	2
#19143696	2
#19143687	2
#19143683	2
#19143681	2
#19143677	2
#19143674	2
#19143543	2
#19143537	2
#19143526	2
#19143524	2
#19143251	2
#19143223	2
#431×D₄₃	2
C₄₃×#2986	2
#60250	43