Subgroups — C₄₃×#28475 #24948492

Order 11008.

1336 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄₃×#493	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₄₃×#459	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₄₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#2544	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₃×#2541	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#2014	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₃×#2012	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#2011	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₃×#2011	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₃×#1972	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₃×#1968	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#1771	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
17	C₂²×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
18	C₂²×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
19	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
20	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
21	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
22	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
23	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
24	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
25	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
26	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
27	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
28	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
29	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic
30	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic
31	C₂×#121×C₄₃	—	2	2	no	—
32	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
34	C₄₃×#496	—	2	4	no	—
35	C₄₃×#496	—	2	4	no	—
36	C₄₃×#493	—	2	4	no	—
37	C₄₃×#463	—	2	4	no	—
38	C₄₃×#459	—	2	4	no	—
39	C₄₃×#442	—	2	4	no	—
40	C₂×#106×C₄₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
42	C₂×#103×C₄₃	C₂²	1	1	yes	characteristic
43	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic
44	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic
45	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic
46	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic
47	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic
48	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
49	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
51	C₄₃×#394	—	2	2	no	—
52	C₄₃×#392	—	2	2	no	—
53	C₄₃×#391	C₂²	1	1	yes	characteristic
54	C₄₃×#390	C₂²	1	1	yes	characteristic
55	C₄₃×#390	C₂²	1	1	yes	characteristic
56	C₄₃×#390	C₂²	1	1	yes	characteristic
57	C₄₃×#386	—	2	2	no	—
58	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
59	C₄₃×#336	C₂²	1	1	yes	characteristic
60	C₄₃×#336	C₂²	1	1	yes	characteristic
61	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
62	C₂²×D₄×C₄₃	—	2	1	no	—
63	C₂²×D₄×C₄₃	—	2	2	no	—
64	C₂²×D₄×C₄₃	—	2	2	no	—
65	C₂²×D₄×C₄₃	—	2	2	no	—
66	C₂²×D₄×C₄₃	—	2	1	no	—
67	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
68	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
69	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
70	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
71	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
72	C₂³×C₄×C₄₃	—	2	1	no	—
73	C₂³×C₄×C₄₃	—	2	1	no	—
74	C₂×SD₁₆×C₄₃	—	2	2	no	—
75	C₂×SD₁₆×C₄₃	—	2	2	no	—
76	C₂×SD₁₆×C₄₃	—	2	2	no	—
77	C₂×SD₁₆×C₄₃	—	2	2	no	—
78	C₂×SD₁₆×C₄₃	—	2	2	no	—
79	C₂×SD₁₆×C₄₃	—	2	2	no	—
80	C₂×SD₁₆×C₄₃	—	4	1	no	—
81	C₂×SD₁₆×C₄₃	—	4	1	no	—
82	C₂×SD₁₆×C₄₃	—	4	1	no	—
83	C₂×D₈×C₄₃	—	2	2	no	—
84	C₂×D₈×C₄₃	—	2	2	no	—
85	C₂×D₈×C₄₃	—	2	2	no	—
86	C₂×D₈×C₄₃	—	2	2	no	—
87	C₂×D₈×C₄₃	—	2	2	no	—
88	C₂×D₈×C₄₃	—	2	2	no	—
89	C₂×D₈×C₄₃	—	2	2	no	—
90	C₂×D₈×C₄₃	—	2	2	no	—
91	C₂×D₈×C₄₃	—	2	2	no	—
92	C₂×D₈×C₄₃	—	2	2	no	—
93	C₂×D₈×C₄₃	—	2	2	no	—
94	C₂×D₈×C₄₃	—	2	2	no	—
95	C₂×D₈×C₄₃	—	4	1	no	—
96	C₂×D₈×C₄₃	—	4	1	no	—
97	C₂×D₈×C₄₃	—	4	1	no	—
98	C₂×D₈×C₄₃	—	4	1	no	—
99	C₂×D₈×C₄₃	—	4	1	no	—
100	C₂×D₈×C₄₃	D₄	1	4	yes	complemented
101	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
102	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
103	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
104	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
105	#127×C₄₃	—	2	2	no	—
106	#127×C₄₃	—	2	2	no	—
107	#127×C₄₃	—	2	2	no	—
108	#127×C₄₃	—	2	2	no	—
109	#127×C₄₃	—	2	2	no	—
110	#127×C₄₃	—	4	1	no	—
111	#127×C₄₃	—	4	1	no	—
112	#127×C₄₃	—	4	1	no	—
113	#124×C₄₃	—	2	2	no	—
114	#124×C₄₃	—	2	2	no	—
115	#124×C₄₃	—	2	2	no	—
116	#124×C₄₃	—	4	1	no	—
117	#121×C₄₃	—	4	8	no	—
118	C₄×D₄×C₄₃	—	2	2	no	—
119	C₄×D₄×C₄₃	—	2	2	no	—
120	C₄×D₄×C₄₃	—	2	2	no	—
121	C₄×D₄×C₄₃	—	2	2	no	—
122	C₂×C₄⋊C₄×C₄₃	D₄	1	2	yes	—
123	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
124	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
125	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
126	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
127	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
128	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
129	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
130	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
131	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
132	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
133	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
134	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
136	#106×C₄₃	—	2	2	no	—
137	C₄⋊C₈×C₄₃	D₄	1	4	yes	complemented
138	#103×C₄₃	—	2	2	no	—
139	#102×C₄₃	—	2	2	no	—
140	#102×C₄₃	—	2	2	no	—
141	#102×C₄₃	—	2	2	no	—
142	#102×C₄₃	—	2	2	no	—
143	#102×C₄₃	—	2	2	no	—
144	#97×C₄₃	—	2	2	no	—
145	#97×C₄₃	D₄	1	4	yes	complemented
146	C₄×C₈×C₄₃	—	2	2	no	—
147	#95×C₄₃	—	2	2	no	—
148	#95×C₄₃	D₄	1	2	yes	—
149	C₂⁴×C₄₃	—	2	1	no	—
150	C₂⁴×C₄₃	—	2	1	no	—
151	C₂⁴×C₄₃	—	2	1	no	—
152	C₂⁴×C₄₃	—	2	1	no	—
153	C₂⁴×C₄₃	—	2	1	no	—
154	C₂×Q₈×C₄₃	—	2	1	no	—
155	C₂×Q₈×C₄₃	—	2	1	no	—
156	C₂×Q₈×C₄₃	—	2	1	no	—
157	C₂×Q₈×C₄₃	—	2	1	no	—
158	C₂×Q₈×C₄₃	—	2	1	no	—
159	C₂×Q₈×C₄₃	—	2	1	no	—
160	C₂×D₄×C₄₃	—	2	1	no	—
161	C₂×D₄×C₄₃	—	2	1	no	—
162	C₂×D₄×C₄₃	—	2	1	no	—
163	C₂×D₄×C₄₃	—	2	1	no	—
164	C₂×D₄×C₄₃	—	2	1	no	—
165	C₂×D₄×C₄₃	—	2	1	no	—
166	C₂×D₄×C₄₃	—	2	1	no	—
167	C₂×D₄×C₄₃	—	2	1	no	—
168	C₂×D₄×C₄₃	—	2	1	no	—
169	C₂×D₄×C₄₃	—	2	1	no	—
170	C₂×D₄×C₄₃	—	2	1	no	—
171	C₂×D₄×C₄₃	—	2	1	no	—
172	C₂×D₄×C₄₃	—	2	1	no	—
173	C₂×D₄×C₄₃	—	2	1	no	—
174	C₂×D₄×C₄₃	—	2	1	no	—
175	C₂×D₄×C₄₃	—	2	1	no	—
176	C₂×D₄×C₄₃	—	2	1	no	—
177	C₂×D₄×C₄₃	—	2	1	no	—
178	C₂×D₄×C₄₃	—	2	1	no	—
179	C₂×D₄×C₄₃	—	2	1	no	—
180	C₂×D₄×C₄₃	—	2	1	no	—
181	C₂×D₄×C₄₃	—	2	1	no	—
182	C₂×D₄×C₄₃	—	2	1	no	—
183	C₂×D₄×C₄₃	—	2	1	no	—
184	C₂×D₄×C₄₃	—	2	1	no	—
185	C₂×D₄×C₄₃	—	2	1	no	—
186	C₂×D₄×C₄₃	—	2	1	no	—
187	C₂×D₄×C₄₃	—	2	1	no	—
188	C₂×D₄×C₄₃	—	4	4	no	—
189	C₂×D₄×C₄₃	—	4	4	no	—
190	C₂×D₄×C₄₃	—	4	4	no	—
191	C₂×D₄×C₄₃	—	4	4	no	—
192	C₂×D₄×C₄₃	—	4	4	no	—
193	C₂×D₄×C₄₃	—	4	2	no	—
194	C₂×D₄×C₄₃	—	4	2	no	—
195	C₂×D₄×C₄₃	—	4	4	no	—
196	C₂×D₄×C₄₃	—	4	4	no	—
197	C₂×D₄×C₄₃	—	8	2	no	—
198	C₂×D₄×C₄₃	—	8	2	no	—
199	C₂×D₄×C₄₃	—	8	2	no	—
200	C₂×D₄×C₄₃	—	8	2	no	—
201	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
202	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
203	C₂²×C₄×C₄₃	—	2	1	no	—
204	C₂²×C₄×C₄₃	—	2	1	no	—
205	C₂²×C₄×C₄₃	—	2	1	no	—
206	C₂²×C₄×C₄₃	—	4	4	no	—
207	C₂²×C₄×C₄₃	—	4	2	no	—
208	C₂²×C₄×C₄₃	—	4	2	no	—
209	C₂²×C₄×C₄₃	—	8	2	no	—
210	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
211	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
212	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
214	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
215	SD₁₆×C₄₃	—	4	4	no	—
216	SD₁₆×C₄₃	—	4	4	no	—
217	SD₁₆×C₄₃	—	4	4	no	—
218	D₈×C₄₃	—	2	8	no	—
219	D₈×C₄₃	—	4	4	no	—
220	D₈×C₄₃	—	4	4	no	—
221	D₈×C₄₃	—	4	4	no	—
222	D₈×C₄₃	—	4	4	no	—
223	D₈×C₄₃	—	4	4	no	—
224	C₂×C₈×C₄₃	—	2	1	no	—
225	C₂×C₈×C₄₃	—	2	1	no	—
226	C₂×C₈×C₄₃	—	2	1	no	—
227	C₂×C₈×C₄₃	—	2	1	no	—
228	C₂×C₈×C₄₃	—	2	1	no	—
229	C₂×C₈×C₄₃	—	2	1	no	—
230	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
231	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
232	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
233	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
234	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
235	C₂×C₈×C₄₃	#41	1	2	yes	—
236	C₄⋊C₄×C₄₃	—	2	4	no	—
237	C₄⋊C₄×C₄₃	—	2	1	no	—
238	C₄⋊C₄×C₄₃	—	2	1	no	—
239	C₄⋊C₄×C₄₃	—	2	1	no	—
240	C₄⋊C₄×C₄₃	—	2	1	no	—
241	C₂²⋊C₄×C₄₃	—	4	4	no	—
242	C₂²⋊C₄×C₄₃	—	4	4	no	—
243	C₂²⋊C₄×C₄₃	—	4	2	no	—
244	C₂²⋊C₄×C₄₃	—	4	2	no	—
245	C₂²⋊C₄×C₄₃	—	4	2	no	—
246	C₂²⋊C₄×C₄₃	—	4	2	no	—
247	C₂²⋊C₄×C₄₃	—	4	4	no	—
248	C₂²⋊C₄×C₄₃	—	8	2	no	—
249	C₄²×C₄₃	—	2	1	no	—
250	C₄²×C₄₃	—	2	1	no	—
251	C₄²×C₄₃	—	2	1	no	—
252	C₄²×C₄₃	—	2	1	no	—
253	C₄²×C₄₃	C₂×D₄	1	2	yes	—
254	C₄²×C₄₃	C₂×D₄	1	2	yes	—
255	C₂³×C₄₃	—	2	2	no	—
256	C₂³×C₄₃	—	2	2	no	—
257	C₂³×C₄₃	—	4	1	no	—
258	C₂³×C₄₃	—	4	1	no	—
259	C₂³×C₄₃	—	4	1	no	—
260	C₂³×C₄₃	—	4	1	no	—
261	C₂³×C₄₃	—	4	2	no	—
262	C₂³×C₄₃	—	4	2	no	—
263	C₂³×C₄₃	—	4	2	no	—
264	C₂³×C₄₃	—	4	2	no	—
265	C₂³×C₄₃	—	4	1	no	—
266	C₂³×C₄₃	—	4	1	no	—
267	C₂³×C₄₃	—	4	1	no	—
268	C₂³×C₄₃	—	4	1	no	—
269	C₂³×C₄₃	—	4	1	no	—
270	C₂³×C₄₃	—	4	1	no	—
271	C₂³×C₄₃	—	4	1	no	—
272	C₂³×C₄₃	—	4	1	no	—
273	C₂³×C₄₃	—	4	1	no	—
274	C₂³×C₄₃	—	4	2	no	—
275	C₂³×C₄₃	—	4	2	no	—
276	C₂³×C₄₃	—	4	2	no	—
277	C₂³×C₄₃	—	4	2	no	—
278	C₂³×C₄₃	—	4	2	no	—
279	C₂³×C₄₃	—	4	2	no	—
280	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
281	Q₈×C₄₃	—	4	1	no	—
282	Q₈×C₄₃	—	4	1	no	—
283	Q₈×C₄₃	—	4	1	no	—
284	Q₈×C₄₃	—	4	1	no	—
285	D₄×C₄₃	—	2	2	no	—
286	D₄×C₄₃	—	2	2	no	—
287	D₄×C₄₃	—	2	2	no	—
288	D₄×C₄₃	—	2	2	no	—
289	D₄×C₄₃	—	4	1	no	—
290	D₄×C₄₃	—	4	1	no	—
291	D₄×C₄₃	—	4	1	no	—
292	D₄×C₄₃	—	4	1	no	—
293	D₄×C₄₃	—	4	1	no	—
294	D₄×C₄₃	—	4	1	no	—
295	D₄×C₄₃	—	4	1	no	—
296	D₄×C₄₃	—	4	1	no	—
297	D₄×C₄₃	—	4	1	no	—
298	D₄×C₄₃	—	4	1	no	—
299	D₄×C₄₃	—	4	1	no	—
300	D₄×C₄₃	—	4	1	no	—
301	D₄×C₄₃	—	4	1	no	—
302	D₄×C₄₃	—	4	1	no	—
303	D₄×C₄₃	—	4	1	no	—
304	D₄×C₄₃	—	4	1	no	—
305	D₄×C₄₃	—	8	8	no	—
306	D₄×C₄₃	—	8	8	no	—
307	D₄×C₄₃	—	8	4	no	—
308	D₄×C₄₃	—	8	4	no	—
309	D₄×C₄₃	—	8	8	no	—
310	C₂×C₄×C₄₃	—	2	2	no	—
311	C₂×C₄×C₄₃	—	2	2	no	—
312	C₂×C₄×C₄₃	—	2	2	no	—
313	C₂×C₄×C₄₃	—	2	2	no	—
314	C₂×C₄×C₄₃	—	2	2	no	—
315	C₂×C₄×C₄₃	—	2	2	no	—
316	C₂×C₄×C₄₃	—	2	2	no	—
317	C₂×C₄×C₄₃	—	4	1	no	—
318	C₂×C₄×C₄₃	—	4	1	no	—
319	C₂×C₄×C₄₃	—	4	1	no	—
320	C₂×C₄×C₄₃	—	4	1	no	—
321	C₂×C₄×C₄₃	—	4	1	no	—
322	C₂×C₄×C₄₃	—	4	2	no	—
323	C₂×C₄×C₄₃	—	4	2	no	—
324	C₂×C₄×C₄₃	—	8	4	no	—
325	C₂×C₄×C₄₃	—	8	4	no	—
326	C₂×C₄×C₄₃	#127	1	2	yes	—
327	C₂×C₄×C₄₃	#127	1	2	yes	—
328	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	4	yes	—
329	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
330	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
331	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
332	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
333	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
334	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
335	C₈×C₄₃	—	2	2	no	—
336	C₈×C₄₃	—	2	2	no	—
337	C₈×C₄₃	—	2	2	no	—
338	C₈×C₄₃	#121	1	4	yes	complemented
339	#28475	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
340	C₂²×C₄₃	—	4	4	no	—
341	C₂²×C₄₃	—	4	4	no	—
342	C₂²×C₄₃	—	4	2	no	—
343	C₂²×C₄₃	—	4	2	no	—
344	C₂²×C₄₃	—	8	2	no	—
345	C₂²×C₄₃	—	8	2	no	—
346	C₂²×C₄₃	—	8	1	no	—
347	C₂²×C₄₃	—	8	1	no	—
348	C₂²×C₄₃	—	8	1	no	—
349	C₂²×C₄₃	—	8	1	no	—
350	C₂²×C₄₃	—	8	2	no	—
351	C₂²×C₄₃	—	8	2	no	—
352	C₂²×C₄₃	—	8	2	no	—
353	C₂²×C₄₃	—	8	1	no	—
354	C₂²×C₄₃	—	8	1	no	—
355	C₂²×C₄₃	—	8	1	no	—
356	C₂²×C₄₃	—	8	1	no	—
357	C₂²×C₄₃	—	8	1	no	—
358	C₂²×C₄₃	—	8	1	no	—
359	C₂²×C₄₃	—	8	2	no	—
360	C₂²×C₄₃	—	8	2	no	—
361	C₂²×C₄₃	—	8	2	no	—
362	C₂²×C₄₃	—	8	1	no	—
363	C₂²×C₄₃	—	8	1	no	—
364	C₂²×C₄₃	—	8	1	no	—
365	C₂²×C₄₃	C₂×#127	1	1	yes	characteristic
366	C₂²×C₄₃	D₄²	1	1	yes	characteristic
367	C₂²×C₄₃	#550	1	1	yes	characteristic
368	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
369	C₂²×C₄₃	#576	1	2	yes	—
370	C₄×C₄₃	—	2	2	no	—
371	C₄×C₄₃	—	2	2	no	—
372	C₄×C₄₃	—	2	4	no	—
373	C₄×C₄₃	—	4	2	no	—
374	C₄×C₄₃	—	8	1	no	—
375	C₄×C₄₃	—	8	1	no	—
376	C₄×C₄₃	—	8	1	no	—
377	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
378	C₄×C₄₃	#535	1	1	yes	characteristic
379	C₄×C₄₃	D₄²	1	1	yes	characteristic
380	C₄×C₄₃	#550	1	1	yes	characteristic
381	C₂×#496	C₂×C₄₃	1	1	yes	characteristic, complemented
382	C₂×#496	C₂×C₄₃	1	1	yes	characteristic, complemented
383	C₂×#493	C₂×C₄₃	1	1	yes	characteristic, complemented
384	C₂×#463	C₂×C₄₃	1	1	yes	characteristic, complemented
385	C₂×#459	C₂×C₄₃	1	1	yes	characteristic, complemented
386	C₂×#442	C₂×C₄₃	1	1	yes	characteristic, complemented
387	#2544	C₂×C₄₃	1	1	yes	characteristic, complemented
388	#2541	C₂×C₄₃	1	1	yes	characteristic, complemented
389	#2014	C₂×C₄₃	1	1	yes	characteristic, complemented
390	#2012	C₂×C₄₃	1	1	yes	characteristic, complemented
391	#2011	C₂×C₄₃	1	1	yes	characteristic, complemented
392	#2011	C₂×C₄₃	1	1	yes	characteristic, complemented
393	#1972	C₂×C₄₃	1	1	yes	characteristic, complemented
394	#1968	C₂×C₄₃	1	1	yes	characteristic, complemented
395	#1771	C₂×C₄₃	1	1	yes	characteristic, complemented
396	C₂×C₄₃	—	8	2	no	—
397	C₂×C₄₃	—	8	2	no	—
398	C₂×C₄₃	—	16	1	no	—
399	C₂×C₄₃	—	16	1	no	—
400	C₂×C₄₃	—	16	1	no	—
401	C₂×C₄₃	#2541	1	1	yes	characteristic
402	C₂×C₄₃	#3151	1	1	yes	characteristic
403	C₂×C₄₃	#3155	1	1	yes	characteristic
404	C₂×C₄₃	#3264	1	2	yes	—
405	C₂×C₄₃	#3399	1	2	yes	—
406	C₂²×SD₁₆	C₂²×C₄₃	1	1	yes	characteristic
407	C₂²×SD₁₆	C₂²×C₄₃	1	1	yes	characteristic
408	C₂²×SD₁₆	C₂²×C₄₃	1	1	yes	characteristic
409	C₂²×D₈	C₂²×C₄₃	1	1	yes	characteristic
410	C₂²×D₈	C₂²×C₄₃	1	1	yes	characteristic
411	C₂²×D₈	C₂²×C₄₃	1	1	yes	characteristic
412	C₂²×D₈	C₂²×C₄₃	1	1	yes	characteristic
413	C₂²×D₈	C₂²×C₄₃	1	1	yes	characteristic
414	C₂²×D₈	C₂²×C₄₃	1	1	yes	characteristic
415	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
416	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
417	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
418	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
419	C₂×#124	C₂²×C₄₃	1	1	yes	characteristic
420	C₂×#124	C₂²×C₄₃	1	1	yes	characteristic
421	C₂×#121	—	2	2	no	—
422	C₂×C₄×D₄	C₂²×C₄₃	1	1	yes	characteristic
423	C₂×C₄×D₄	C₂²×C₄₃	1	1	yes	characteristic
424	#496	—	2	4	no	—
425	#496	—	2	4	no	—
426	#493	—	2	4	no	—
427	#463	—	2	4	no	—
428	#459	—	2	4	no	—
429	#442	—	2	4	no	—
430	C₂×#106	C₂²×C₄₃	1	1	yes	characteristic
431	C₂×C₄⋊C₈	C₂²×C₄₃	1	1	yes	characteristic
432	C₂×#103	C₂²×C₄₃	1	1	yes	characteristic
433	C₂×#102	C₂²×C₄₃	1	1	yes	characteristic
434	C₂×#102	C₂²×C₄₃	1	1	yes	characteristic
435	C₂×#102	C₂²×C₄₃	1	1	yes	characteristic
436	C₂×#102	C₂²×C₄₃	1	1	yes	characteristic
437	C₂×#102	C₂²×C₄₃	1	1	yes	characteristic
438	C₂×#97	C₂²×C₄₃	1	1	yes	characteristic
439	C₂×#97	C₂²×C₄₃	1	1	yes	characteristic
440	C₂×C₄×C₈	C₂²×C₄₃	1	1	yes	characteristic
441	#394	—	2	2	no	—
442	#392	—	2	2	no	—
443	#391	C₂²×C₄₃	1	1	yes	characteristic
444	#390	C₂²×C₄₃	1	1	yes	characteristic
445	#390	C₂²×C₄₃	1	1	yes	characteristic
446	#390	C₂²×C₄₃	1	1	yes	characteristic
447	#386	—	2	2	no	—
448	C₄×C₄⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
449	#336	C₂²×C₄₃	1	1	yes	characteristic
450	#336	C₂²×C₄₃	1	1	yes	characteristic
451	C₄₃	#28475	1	1	yes	characteristic, direct product factor, Sylow
452	C₂²×Q₈	C₂³×C₄₃	1	1	yes	characteristic
453	C₂²×D₄	—	2	1	no	—
454	C₂²×D₄	—	2	2	no	—
455	C₂²×D₄	—	2	2	no	—
456	C₂²×D₄	—	2	2	no	—
457	C₂²×D₄	—	2	1	no	—
458	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
459	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
460	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
461	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
462	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
463	C₂³×C₄	—	2	1	no	—
464	C₂³×C₄	—	2	1	no	—
465	C₂×SD₁₆	—	2	2	no	—
466	C₂×SD₁₆	—	2	2	no	—
467	C₂×SD₁₆	—	2	2	no	—
468	C₂×SD₁₆	—	2	2	no	—
469	C₂×SD₁₆	—	2	2	no	—
470	C₂×SD₁₆	—	2	2	no	—
471	C₂×SD₁₆	—	4	1	no	—
472	C₂×SD₁₆	—	4	1	no	—
473	C₂×SD₁₆	—	4	1	no	—
474	C₂×D₈	—	2	2	no	—
475	C₂×D₈	—	2	2	no	—
476	C₂×D₈	—	2	2	no	—
477	C₂×D₈	—	2	2	no	—
478	C₂×D₈	—	2	2	no	—
479	C₂×D₈	—	2	2	no	—
480	C₂×D₈	—	2	2	no	—
481	C₂×D₈	—	2	2	no	—
482	C₂×D₈	—	2	2	no	—
483	C₂×D₈	—	2	2	no	—
484	C₂×D₈	—	2	2	no	—
485	C₂×D₈	—	2	2	no	—
486	C₂×D₈	—	4	1	no	—
487	C₂×D₈	—	4	1	no	—
488	C₂×D₈	—	4	1	no	—
489	C₂×D₈	—	4	1	no	—
490	C₂×D₈	—	4	1	no	—
491	C₂×D₈	D₄×C₄₃	1	4	yes	complemented
492	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
493	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
494	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
495	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
496	#127	—	2	2	no	—
497	#127	—	2	2	no	—
498	#127	—	2	2	no	—
499	#127	—	2	2	no	—
500	#127	—	2	2	no	—
501	#127	—	4	1	no	—
502	#127	—	4	1	no	—
503	#127	—	4	1	no	—
504	#124	—	2	2	no	—
505	#124	—	2	2	no	—
506	#124	—	2	2	no	—
507	#124	—	4	1	no	—
508	#121	—	4	8	no	—
509	C₄×D₄	—	2	2	no	—
510	C₄×D₄	—	2	2	no	—
511	C₄×D₄	—	2	2	no	—
512	C₄×D₄	—	2	2	no	—
513	C₂×C₄⋊C₄	D₄×C₄₃	1	2	yes	—
514	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
515	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
516	C₂×C₂²⋊C₄	—	2	1	no	—
517	C₂×C₂²⋊C₄	—	2	1	no	—
518	C₂×C₂²⋊C₄	—	2	2	no	—
519	C₂×C₂²⋊C₄	—	2	2	no	—
520	C₂×C₂²⋊C₄	—	2	1	no	—
521	C₂×C₂²⋊C₄	—	2	2	no	—
522	C₂×C₂²⋊C₄	—	2	1	no	—
523	C₂×C₂²⋊C₄	—	2	2	no	—
524	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
525	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
526	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
527	#106	—	2	2	no	—
528	C₄⋊C₈	D₄×C₄₃	1	4	yes	complemented
529	#103	—	2	2	no	—
530	#102	—	2	2	no	—
531	#102	—	2	2	no	—
532	#102	—	2	2	no	—
533	#102	—	2	2	no	—
534	#102	—	2	2	no	—
535	#97	—	2	2	no	—
536	#97	D₄×C₄₃	1	4	yes	complemented
537	C₄×C₈	—	2	2	no	—
538	#95	—	2	2	no	—
539	#95	D₄×C₄₃	1	2	yes	—
540	C₂⁴	—	2	1	no	—
541	C₂⁴	—	2	1	no	—
542	C₂⁴	—	2	1	no	—
543	C₂⁴	—	2	1	no	—
544	C₂⁴	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×Q₈	—	2	1	no	—
549	C₂×Q₈	—	2	1	no	—
550	C₂×Q₈	—	2	1	no	—
551	C₂×D₄	—	2	1	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	1	no	—
557	C₂×D₄	—	2	1	no	—
558	C₂×D₄	—	2	1	no	—
559	C₂×D₄	—	2	1	no	—
560	C₂×D₄	—	2	1	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	2	1	no	—
563	C₂×D₄	—	2	1	no	—
564	C₂×D₄	—	2	1	no	—
565	C₂×D₄	—	2	1	no	—
566	C₂×D₄	—	2	1	no	—
567	C₂×D₄	—	2	1	no	—
568	C₂×D₄	—	2	1	no	—
569	C₂×D₄	—	2	1	no	—
570	C₂×D₄	—	2	1	no	—
571	C₂×D₄	—	2	1	no	—
572	C₂×D₄	—	2	1	no	—
573	C₂×D₄	—	2	1	no	—
574	C₂×D₄	—	2	1	no	—
575	C₂×D₄	—	2	1	no	—
576	C₂×D₄	—	2	1	no	—
577	C₂×D₄	—	2	1	no	—
578	C₂×D₄	—	2	1	no	—
579	C₂×D₄	—	4	4	no	—
580	C₂×D₄	—	4	4	no	—
581	C₂×D₄	—	4	4	no	—
582	C₂×D₄	—	4	4	no	—
583	C₂×D₄	—	4	4	no	—
584	C₂×D₄	—	4	2	no	—
585	C₂×D₄	—	4	2	no	—
586	C₂×D₄	—	4	4	no	—
587	C₂×D₄	—	4	4	no	—
588	C₂×D₄	—	8	2	no	—
589	C₂×D₄	—	8	2	no	—
590	C₂×D₄	—	8	2	no	—
591	C₂×D₄	—	8	2	no	—
592	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
593	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
594	C₂²×C₄	—	2	1	no	—
595	C₂²×C₄	—	2	1	no	—
596	C₂²×C₄	—	2	1	no	—
597	C₂²×C₄	—	4	4	no	—
598	C₂²×C₄	—	4	2	no	—
599	C₂²×C₄	—	4	2	no	—
600	C₂²×C₄	—	8	2	no	—
601	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
602	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
603	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
604	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
605	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
606	SD₁₆	—	4	4	no	—
607	SD₁₆	—	4	4	no	—
608	SD₁₆	—	4	4	no	—
609	D₈	—	2	8	no	—
610	D₈	—	4	4	no	—
611	D₈	—	4	4	no	—
612	D₈	—	4	4	no	—
613	D₈	—	4	4	no	—
614	D₈	—	4	4	no	—
615	C₂×C₈	—	2	1	no	—
616	C₂×C₈	—	2	1	no	—
617	C₂×C₈	—	2	1	no	—
618	C₂×C₈	—	2	1	no	—
619	C₂×C₈	—	2	1	no	—
620	C₂×C₈	—	2	1	no	—
621	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
622	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
623	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
624	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
625	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
626	C₂×C₈	#41×C₄₃	1	2	yes	—
627	C₄⋊C₄	—	2	4	no	—
628	C₄⋊C₄	—	2	1	no	—
629	C₄⋊C₄	—	2	1	no	—
630	C₄⋊C₄	—	2	1	no	—
631	C₄⋊C₄	—	2	1	no	—
632	C₂²⋊C₄	—	4	4	no	—
633	C₂²⋊C₄	—	4	4	no	—
634	C₂²⋊C₄	—	4	2	no	—
635	C₂²⋊C₄	—	4	2	no	—
636	C₂²⋊C₄	—	4	2	no	—
637	C₂²⋊C₄	—	4	2	no	—
638	C₂²⋊C₄	—	4	4	no	—
639	C₂²⋊C₄	—	8	2	no	—
640	C₄²	—	2	1	no	—
641	C₄²	—	2	1	no	—
642	C₄²	—	2	1	no	—
643	C₄²	—	2	1	no	—
644	C₄²	C₂×D₄×C₄₃	1	2	yes	—
645	C₄²	C₂×D₄×C₄₃	1	2	yes	—
646	C₂³	—	2	2	no	—
647	C₂³	—	2	2	no	—
648	C₂³	—	4	1	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	4	1	no	—
651	C₂³	—	4	1	no	—
652	C₂³	—	4	2	no	—
653	C₂³	—	4	2	no	—
654	C₂³	—	4	2	no	—
655	C₂³	—	4	2	no	—
656	C₂³	—	4	1	no	—
657	C₂³	—	4	1	no	—
658	C₂³	—	4	1	no	—
659	C₂³	—	4	1	no	—
660	C₂³	—	4	1	no	—
661	C₂³	—	4	1	no	—
662	C₂³	—	4	1	no	—
663	C₂³	—	4	1	no	—
664	C₂³	—	4	1	no	—
665	C₂³	—	4	2	no	—
666	C₂³	—	4	2	no	—
667	C₂³	—	4	2	no	—
668	C₂³	—	4	2	no	—
669	C₂³	—	4	2	no	—
670	C₂³	—	4	2	no	—
671	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
672	Q₈	—	4	1	no	—
673	Q₈	—	4	1	no	—
674	Q₈	—	4	1	no	—
675	Q₈	—	4	1	no	—
676	D₄	—	2	2	no	—
677	D₄	—	2	2	no	—
678	D₄	—	2	2	no	—
679	D₄	—	2	2	no	—
680	D₄	—	4	1	no	—
681	D₄	—	4	1	no	—
682	D₄	—	4	1	no	—
683	D₄	—	4	1	no	—
684	D₄	—	4	1	no	—
685	D₄	—	4	1	no	—
686	D₄	—	4	1	no	—
687	D₄	—	4	1	no	—
688	D₄	—	4	1	no	—
689	D₄	—	4	1	no	—
690	D₄	—	4	1	no	—
691	D₄	—	4	1	no	—
692	D₄	—	4	1	no	—
693	D₄	—	4	1	no	—
694	D₄	—	4	1	no	—
695	D₄	—	4	1	no	—
696	D₄	—	8	8	no	—
697	D₄	—	8	8	no	—
698	D₄	—	8	4	no	—
699	D₄	—	8	4	no	—
700	D₄	—	8	8	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	2	no	—
703	C₂×C₄	—	2	2	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	2	2	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	4	1	no	—
711	C₂×C₄	—	4	1	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	2	no	—
714	C₂×C₄	—	4	2	no	—
715	C₂×C₄	—	8	4	no	—
716	C₂×C₄	—	8	4	no	—
717	C₂×C₄	#127×C₄₃	1	2	yes	—
718	C₂×C₄	#127×C₄₃	1	2	yes	—
719	C₂×C₄	AGL(1,ℤ/8)×C₄₃	1	4	yes	—
720	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
721	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
722	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
723	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
724	C₂×C₄	H(5,𝔽₂)×C₄₃	1	1	yes	characteristic
725	C₂×C₄	H(5,𝔽₂)×C₄₃	1	1	yes	characteristic
726	C₈	—	2	2	no	—
727	C₈	—	2	2	no	—
728	C₈	—	2	2	no	—
729	C₈	#121×C₄₃	1	4	yes	complemented
730	C₂²	—	4	4	no	—
731	C₂²	—	4	4	no	—
732	C₂²	—	4	2	no	—
733	C₂²	—	4	2	no	—
734	C₂²	—	8	2	no	—
735	C₂²	—	8	2	no	—
736	C₂²	—	8	1	no	—
737	C₂²	—	8	1	no	—
738	C₂²	—	8	1	no	—
739	C₂²	—	8	1	no	—
740	C₂²	—	8	2	no	—
741	C₂²	—	8	2	no	—
742	C₂²	—	8	2	no	—
743	C₂²	—	8	1	no	—
744	C₂²	—	8	1	no	—
745	C₂²	—	8	1	no	—
746	C₂²	—	8	1	no	—
747	C₂²	—	8	1	no	—
748	C₂²	—	8	1	no	—
749	C₂²	—	8	2	no	—
750	C₂²	—	8	2	no	—
751	C₂²	—	8	2	no	—
752	C₂²	—	8	1	no	—
753	C₂²	—	8	1	no	—
754	C₂²	—	8	1	no	—
755	C₂²	C₂×#127×C₄₃	1	1	yes	characteristic
756	C₂²	D₄²×C₄₃	1	1	yes	characteristic
757	C₂²	C₄₃×#550	1	1	yes	characteristic
758	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	2	yes	—
759	C₂²	C₄₃×#576	1	2	yes	—
760	C₄	—	2	2	no	—
761	C₄	—	2	2	no	—
762	C₄	—	2	4	no	—
763	C₄	—	4	2	no	—
764	C₄	—	8	1	no	—
765	C₄	—	8	1	no	—
766	C₄	—	8	1	no	—
767	C₄	C₂×#121×C₄₃	1	1	yes	characteristic
768	C₄	C₄₃×#535	1	1	yes	characteristic
769	C₄	D₄²×C₄₃	1	1	yes	characteristic
770	C₄	C₄₃×#550	1	1	yes	characteristic
771	C₂	—	8	2	no	—
772	C₂	—	8	2	no	—
773	C₂	—	16	1	no	—
774	C₂	—	16	1	no	—
775	C₂	—	16	1	no	—
776	C₂	C₄₃×#2541	1	1	yes	characteristic
777	C₂	C₄₃×#3151	1	1	yes	characteristic
778	C₂	C₄₃×#3155	1	1	yes	characteristic
779	C₂	C₄₃×#3264	1	2	yes	—
780	C₂	C₄₃×#3399	1	2	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 ◁ C₄×C₄⋊C₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₄₃×#496	C₂	semidirect
2. C₂×C₄₃×#496	C₂	semidirect
3. C₂×C₄₃×#493	C₂	semidirect
4. C₂×C₄₃×#463	C₂	semidirect
5. C₂×C₄₃×#459	C₂	semidirect
6. C₂×C₄₃×#442	C₂	semidirect
7. C₄₃×#2544	C₂	semidirect
8. C₄₃×#2541	C₂	semidirect
9. C₄₃×#2014	C₂	semidirect
10. C₄₃×#2012	C₂	semidirect
11. C₄₃×#2011	C₂	semidirect
12. C₄₃×#2011	C₂	semidirect
13. C₄₃×#1972	C₂	semidirect
14. C₄₃×#1968	C₂	semidirect
15. C₄₃×#1771	C₂	semidirect
100. C₂×D₈×C₄₃	D₄	semidirect
137. C₄⋊C₈×C₄₃	D₄	semidirect
145. #97×C₄₃	D₄	semidirect
338. C₈×C₄₃	#121	semidirect
339. #28475	C₄₃	direct (N × H)
381. C₂×#496	C₂×C₄₃	semidirect
382. C₂×#496	C₂×C₄₃	semidirect
383. C₂×#493	C₂×C₄₃	semidirect
384. C₂×#463	C₂×C₄₃	semidirect
385. C₂×#459	C₂×C₄₃	semidirect
386. C₂×#442	C₂×C₄₃	semidirect
387. #2544	C₂×C₄₃	semidirect
388. #2541	C₂×C₄₃	semidirect
389. #2014	C₂×C₄₃	semidirect
390. #2012	C₂×C₄₃	semidirect
391. #2011	C₂×C₄₃	semidirect
392. #2011	C₂×C₄₃	semidirect
393. #1972	C₂×C₄₃	semidirect
394. #1968	C₂×C₄₃	semidirect
395. #1771	C₂×C₄₃	semidirect
451. C₄₃	#28475	direct (N × H)
491. C₂×D₈	D₄×C₄₃	semidirect
528. C₄⋊C₈	D₄×C₄₃	semidirect
536. #97	D₄×C₄₃	semidirect
729. C₈	#121×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×#496	2
C₂×C₄₃×#493	2
C₂×C₄₃×#463	2
C₂×C₄₃×#459	2
C₂×C₄₃×#442	2
C₄₃×#2544	2
C₄₃×#2541	2
C₄₃×#2014	2
C₄₃×#2012	2
C₄₃×#2011	2
C₄₃×#1972	2
C₄₃×#1968	2
C₄₃×#1771	2
#28475	43

Subgroups — C43×#28475 #24948492

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#28475 #24948492