Subgroups — C₄₃×#61683 #24981700

Order 11008.

2012 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×#3550	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₃×#3497	C₂	1	1	yes	maximal, characteristic
3	C₄₃×#3328	C₂	1	2	yes	maximal, complemented
4	C₄₃×#3313	C₂	1	4	yes	maximal, complemented
5	C₄₃×#3304	C₂	1	2	yes	maximal, complemented
6	D₄×Q₁₆×C₄₃	C₂	1	2	yes	maximal, complemented
7	C₄₃×#3278	C₂	1	2	yes	maximal, complemented
8	C₄₃×#3270	C₂	1	4	yes	maximal, complemented
9	C₄₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#3201	C₂	1	4	yes	maximal, complemented
12	C₄₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₃×#3011	C₂	1	4	yes	maximal, complemented
15	C₄₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×2₋¹⁺⁴×C₄₃	C₂²	1	2	yes	—
17	C₂×#137×C₄₃	C₂²	1	4	yes	—
18	C₂²×Q₁₆×C₄₃	C₂²	1	4	yes	—
19	C₄₃×#563	—	2	2	no	—
20	C₄₃×#559	—	2	1	no	—
21	Q₈²×C₄₃	—	2	1	no	—
22	C₄₃×#556	C₂²	1	2	yes	—
23	C₄₃×#556	C₂²	1	2	yes	—
24	C₄₃×#550	—	2	1	no	—
25	C₄₃×#550	C₂²	1	2	yes	—
26	D₄×Q₈×C₄₃	—	2	1	no	—
27	D₄×Q₈×C₄₃	C₂²	1	2	yes	—
28	D₄×Q₈×C₄₃	C₂²	1	2	yes	—
29	D₄×Q₈×C₄₃	C₂²	1	2	yes	—
30	C₄₃×#548	—	2	2	no	—
31	C₄₃×#548	C₂²	1	4	yes	—
32	C₄₃×#542	—	2	2	no	—
33	C₄₃×#542	—	2	2	no	—
34	C₄₃×#537	—	2	2	no	—
35	C₄₃×#537	C₂²	1	2	yes	—
36	C₄₃×#536	C₂²	1	4	yes	—
37	C₄₃×#533	C₂²	1	1	yes	characteristic
38	C₄₃×#533	C₂²	1	1	yes	characteristic
39	C₄₃×#532	—	2	2	no	—
40	C₄₃×#532	C₂²	1	1	yes	characteristic
41	C₄₃×#532	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
43	C₄₃×#497	C₂²	1	2	yes	—
44	C₄₃×#494	C₂²	1	1	yes	characteristic
45	C₄₃×#492	C₂²	1	1	yes	characteristic
46	C₄₃×#489	C₂²	1	2	yes	—
47	C₄₃×#487	C₂²	1	1	yes	characteristic
48	C₄₃×#486	C₂²	1	1	yes	characteristic
49	C₄₃×#485	C₂²	1	4	yes	—
50	C₄₃×#484	C₂²	1	2	yes	—
51	C₄₃×#483	C₂²	1	2	yes	—
52	C₄₃×#482	C₂²	1	4	yes	—
53	C₄₃×#477	C₂²	1	2	yes	—
54	C₄₃×#475	C₂²	1	2	yes	—
55	C₄₃×#470	C₂²	1	4	yes	—
56	C₄₃×#468	C₂²	1	4	yes	—
57	C₄₃×#467	C₂²	1	4	yes	—
58	C₄₃×#465	C₂²	1	4	yes	—
59	C₄₃×#464	C₂²	1	4	yes	—
60	C₄₃×#462	C₂²	1	2	yes	—
61	C₄₃×#462	C₂²	1	2	yes	—
62	C₄₃×#462	C₂²	1	2	yes	—
63	C₄₃×#460	C₂²	1	2	yes	—
64	C₄₃×#452	C₂²	1	4	yes	—
65	C₄₃×#452	C₂²	1	4	yes	—
66	C₄₃×#452	C₂²	1	4	yes	—
67	C₄₃×#452	C₂²	1	4	yes	—
68	C₄₃×#451	C₂²	1	2	yes	—
69	C₄₃×#451	C₂²	1	2	yes	—
70	C₄₃×#451	C₂²	1	4	yes	—
71	C₄₃×#451	C₂²	1	4	yes	—
72	C₄₃×#451	C₂²	1	4	yes	—
73	C₄₃×#448	C₂²	1	4	yes	—
74	C₄₃×#441	C₂²	1	4	yes	—
75	C₄×Q₁₆×C₄₃	C₂²	1	2	yes	—
76	C₄×Q₁₆×C₄₃	C₂²	1	2	yes	—
77	C₄₃×#436	C₂²	1	2	yes	—
78	C₄₃×#435	C₂²	1	4	yes	—
79	C₈×D₄×C₄₃	C₂²	1	2	yes	—
80	C₄₃×#432	C₂²	1	1	yes	characteristic
81	C₄₃×#431	C₂²	1	1	yes	characteristic
82	C₄₃×#419	C₂²	1	4	yes	—
83	C₄₃×#416	C₂²	1	4	yes	—
84	C₄₃×#408	C₂²	1	4	yes	—
85	2₋¹⁺⁴×C₄₃	—	4	8	no	—
86	C₂×#41×C₄₃	—	2	4	no	—
87	C₂×#41×C₄₃	—	2	2	no	—
88	C₂×#41×C₄₃	C₂³	1	4	yes	—
89	C₂×#41×C₄₃	C₂³	1	2	yes	—
90	C₂×#41×C₄₃	C₂³	1	2	yes	—
91	C₂²×Q₈×C₄₃	—	2	2	no	—
92	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
93	C₂²×Q₈×C₄₃	C₂³	1	4	yes	—
94	C₂²×Q₈×C₄₃	C₂³	1	4	yes	—
95	#137×C₄₃	—	4	8	no	—
96	C₂×Q₁₆×C₄₃	—	4	8	no	—
97	C₂×Q₁₆×C₄₃	C₂³	1	2	yes	—
98	C₂×Q₁₆×C₄₃	C₂³	1	4	yes	—
99	C₂×Q₁₆×C₄₃	C₂³	1	2	yes	—
100	C₂×Q₁₆×C₄₃	C₂³	1	4	yes	—
101	C₂×Q₁₆×C₄₃	C₂³	1	4	yes	—
102	C₂×SD₁₆×C₄₃	C₂³	1	4	yes	—
103	C₂×SD₁₆×C₄₃	C₂³	1	4	yes	—
104	C₂×M₁₆×C₄₃	C₂³	1	4	yes	—
105	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
106	C₄⋊Q₈×C₄₃	—	2	4	no	—
107	C₄⋊Q₈×C₄₃	—	2	2	no	—
108	C₄⋊Q₈×C₄₃	—	2	2	no	—
109	C₄⋊Q₈×C₄₃	—	2	2	no	—
110	C₄⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
111	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
112	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
113	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
114	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
115	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
116	#127×C₄₃	—	2	2	no	—
117	#127×C₄₃	D₄	1	1	yes	characteristic
118	#127×C₄₃	C₂³	1	1	yes	characteristic
119	#126×C₄₃	—	2	4	no	—
120	#126×C₄₃	—	2	4	no	—
121	#125×C₄₃	—	2	1	no	—
122	#125×C₄₃	—	2	1	no	—
123	#124×C₄₃	—	2	4	no	—
124	#124×C₄₃	—	2	2	no	—
125	#124×C₄₃	—	2	2	no	—
126	#124×C₄₃	—	2	4	no	—
127	#124×C₄₃	D₄	1	2	yes	—
128	#124×C₄₃	C₂³	1	2	yes	—
129	#123×C₄₃	—	2	4	no	—
130	#123×C₄₃	—	2	4	no	—
131	C₂²⋊Q₈×C₄₃	—	2	2	no	—
132	C₂²⋊Q₈×C₄₃	—	2	1	no	—
133	C₂²⋊Q₈×C₄₃	—	2	1	no	—
134	C₂²⋊Q₈×C₄₃	—	2	4	no	—
135	C₂²⋊Q₈×C₄₃	—	2	4	no	—
136	C₂²⋊Q₈×C₄₃	—	2	4	no	—
137	C₂²⋊Q₈×C₄₃	—	2	4	no	—
138	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
139	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
140	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
141	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
142	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
143	#121×C₄₃	—	2	4	no	—
144	#121×C₄₃	—	2	4	no	—
145	#121×C₄₃	—	2	2	no	—
146	#121×C₄₃	—	2	1	no	—
147	#121×C₄₃	—	2	1	no	—
148	#121×C₄₃	—	2	4	no	—
149	#121×C₄₃	D₄	1	2	yes	—
150	#121×C₄₃	D₄	1	2	yes	—
151	#121×C₄₃	C₂³	1	4	yes	—
152	C₄×Q₈×C₄₃	—	2	2	no	—
153	C₄×Q₈×C₄₃	—	2	2	no	—
154	C₄×Q₈×C₄₃	—	2	1	no	—
155	C₄×Q₈×C₄₃	—	2	1	no	—
156	C₄×Q₈×C₄₃	—	2	1	no	—
157	C₄×Q₈×C₄₃	—	2	1	no	—
158	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
159	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
160	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
161	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
162	C₄×D₄×C₄₃	—	2	2	no	—
163	C₄×D₄×C₄₃	—	2	2	no	—
164	C₄×D₄×C₄₃	—	2	2	no	—
165	C₄×D₄×C₄₃	—	2	2	no	—
166	C₄×D₄×C₄₃	—	2	4	no	—
167	C₄×D₄×C₄₃	—	2	1	no	—
168	C₄×D₄×C₄₃	—	2	1	no	—
169	C₄×D₄×C₄₃	C₂³	1	2	yes	—
170	C₄×D₄×C₄₃	C₂³	1	2	yes	—
171	#117×C₄₃	—	2	1	no	—
172	#117×C₄₃	—	2	1	no	—
173	#117×C₄₃	C₂³	1	4	yes	—
174	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
175	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
176	C₂×C₄²×C₄₃	—	2	1	no	—
177	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
178	#107×C₄₃	C₂³	1	2	yes	—
179	#107×C₄₃	C₂³	1	2	yes	—
180	#106×C₄₃	C₂³	1	4	yes	—
181	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
182	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
183	#103×C₄₃	C₂³	1	2	yes	—
184	#103×C₄₃	C₂³	1	4	yes	—
185	#103×C₄₃	C₂³	1	2	yes	—
186	#103×C₄₃	C₂³	1	4	yes	—
187	#103×C₄₃	C₂³	1	4	yes	—
188	#103×C₄₃	C₂³	1	2	yes	—
189	#103×C₄₃	C₂³	1	2	yes	—
190	#103×C₄₃	C₂³	1	4	yes	—
191	#102×C₄₃	C₂³	1	4	yes	—
192	#102×C₄₃	C₂³	1	4	yes	—
193	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
194	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
195	C₂²⋊C₈×C₄₃	C₂³	1	4	yes	—
196	C₂²⋊C₈×C₄₃	C₂³	1	4	yes	—
197	#97×C₄₃	C₂³	1	2	yes	—
198	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
199	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
200	#41×C₄₃	—	2	8	no	—
201	#41×C₄₃	—	4	4	no	—
202	#41×C₄₃	—	4	4	no	—
203	#41×C₄₃	—	4	4	no	—
204	#41×C₄₃	—	4	16	no	—
205	#41×C₄₃	—	4	8	no	—
206	C₂×Q₈×C₄₃	—	2	4	no	—
207	C₂×Q₈×C₄₃	—	2	1	no	—
208	C₂×Q₈×C₄₃	—	2	1	no	—
209	C₂×Q₈×C₄₃	—	2	1	no	—
210	C₂×Q₈×C₄₃	—	2	4	no	—
211	C₂×Q₈×C₄₃	—	2	4	no	—
212	C₂×Q₈×C₄₃	—	2	8	no	—
213	C₂×Q₈×C₄₃	—	4	4	no	—
214	C₂×Q₈×C₄₃	—	4	4	no	—
215	C₂×Q₈×C₄₃	—	4	4	no	—
216	C₂×Q₈×C₄₃	—	4	8	no	—
217	C₂×Q₈×C₄₃	C₂×D₄	1	2	yes	—
218	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
219	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
220	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
221	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
222	C₂×D₄×C₄₃	—	2	1	no	—
223	C₂×D₄×C₄₃	—	2	1	no	—
224	C₂×D₄×C₄₃	—	2	2	no	—
225	C₂×D₄×C₄₃	—	2	4	no	—
226	C₂×D₄×C₄₃	—	2	4	no	—
227	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
228	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
229	C₂×D₄×C₄₃	C₂×D₄	1	4	yes	—
230	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
231	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
232	C₂²×C₄×C₄₃	—	2	4	no	—
233	C₂²×C₄×C₄₃	—	2	2	no	—
234	C₂²×C₄×C₄₃	—	2	1	no	—
235	C₂²×C₄×C₄₃	—	2	4	no	—
236	C₂²×C₄×C₄₃	—	2	1	no	—
237	C₂²×C₄×C₄₃	—	2	4	no	—
238	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
239	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
240	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
241	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
242	Q₁₆×C₄₃	—	2	4	no	—
243	Q₁₆×C₄₃	—	2	8	no	—
244	Q₁₆×C₄₃	—	2	4	no	—
245	Q₁₆×C₄₃	—	4	4	no	—
246	Q₁₆×C₄₃	—	4	4	no	—
247	SD₁₆×C₄₃	—	4	4	no	—
248	SD₁₆×C₄₃	—	4	4	no	—
249	M₁₆×C₄₃	—	4	4	no	—
250	C₂×C₈×C₄₃	—	4	4	no	—
251	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
252	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
253	C₂×C₈×C₄₃	C₂⁴	1	4	yes	—
254	C₄⋊C₄×C₄₃	—	2	2	no	—
255	C₄⋊C₄×C₄₃	—	2	2	no	—
256	C₄⋊C₄×C₄₃	—	2	1	no	—
257	C₄⋊C₄×C₄₃	—	2	1	no	—
258	C₄⋊C₄×C₄₃	—	2	1	no	—
259	C₄⋊C₄×C₄₃	—	2	1	no	—
260	C₄⋊C₄×C₄₃	—	2	1	no	—
261	C₄⋊C₄×C₄₃	—	2	1	no	—
262	C₄⋊C₄×C₄₃	—	2	1	no	—
263	C₄⋊C₄×C₄₃	—	2	1	no	—
264	C₄⋊C₄×C₄₃	—	2	1	no	—
265	C₄⋊C₄×C₄₃	—	2	4	no	—
266	C₄⋊C₄×C₄₃	—	2	4	no	—
267	C₄⋊C₄×C₄₃	—	2	4	no	—
268	C₄⋊C₄×C₄₃	—	2	2	no	—
269	C₄⋊C₄×C₄₃	—	2	2	no	—
270	C₄⋊C₄×C₄₃	—	2	2	no	—
271	C₄⋊C₄×C₄₃	—	2	2	no	—
272	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
273	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
274	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
275	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
276	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
277	C₂²⋊C₄×C₄₃	—	2	2	no	—
278	C₂²⋊C₄×C₄₃	—	2	2	no	—
279	C₂²⋊C₄×C₄₃	—	2	4	no	—
280	C₂²⋊C₄×C₄₃	—	2	2	no	—
281	C₂²⋊C₄×C₄₃	—	2	2	no	—
282	C₂²⋊C₄×C₄₃	—	2	4	no	—
283	C₂²⋊C₄×C₄₃	—	2	4	no	—
284	C₂²⋊C₄×C₄₃	—	2	4	no	—
285	C₂²⋊C₄×C₄₃	—	2	4	no	—
286	C₂²⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
287	C₂²⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
288	C₄²×C₄₃	—	2	2	no	—
289	C₄²×C₄₃	—	2	2	no	—
290	C₄²×C₄₃	—	2	2	no	—
291	C₄²×C₄₃	—	2	2	no	—
292	C₄²×C₄₃	—	2	4	no	—
293	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
294	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
295	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
296	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
297	C₂³×C₄₃	—	2	2	no	—
298	C₂³×C₄₃	C₂²×D₄	1	4	yes	—
299	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
300	Q₈×C₄₃	—	2	4	no	—
301	Q₈×C₄₃	—	2	2	no	—
302	Q₈×C₄₃	—	2	2	no	—
303	Q₈×C₄₃	—	2	4	no	—
304	Q₈×C₄₃	—	2	2	no	—
305	Q₈×C₄₃	—	2	4	no	—
306	Q₈×C₄₃	—	4	2	no	—
307	Q₈×C₄₃	—	4	8	no	—
308	Q₈×C₄₃	—	4	2	no	—
309	Q₈×C₄₃	—	4	2	no	—
310	Q₈×C₄₃	—	8	4	no	—
311	Q₈×C₄₃	H(5,𝔽₂)	1	4	yes	—
312	D₄×C₄₃	—	2	4	no	—
313	D₄×C₄₃	—	2	4	no	—
314	D₄×C₄₃	—	4	2	no	—
315	D₄×C₄₃	—	4	2	no	—
316	D₄×C₄₃	—	4	4	no	—
317	D₄×C₄₃	—	4	8	no	—
318	D₄×C₄₃	—	4	4	no	—
319	D₄×C₄₃	—	4	2	no	—
320	D₄×C₄₃	—	8	1	no	—
321	D₄×C₄₃	—	8	4	no	—
322	C₂×C₄×C₄₃	—	2	4	no	—
323	C₂×C₄×C₄₃	—	2	2	no	—
324	C₂×C₄×C₄₃	—	2	2	no	—
325	C₂×C₄×C₄₃	—	2	4	no	—
326	C₂×C₄×C₄₃	—	2	4	no	—
327	C₂×C₄×C₄₃	—	2	2	no	—
328	C₂×C₄×C₄₃	—	2	2	no	—
329	C₂×C₄×C₄₃	—	2	2	no	—
330	C₂×C₄×C₄₃	—	2	2	no	—
331	C₂×C₄×C₄₃	—	2	2	no	—
332	C₂×C₄×C₄₃	—	2	2	no	—
333	C₂×C₄×C₄₃	—	2	2	no	—
334	C₂×C₄×C₄₃	—	4	1	no	—
335	C₂×C₄×C₄₃	—	4	8	no	—
336	C₂×C₄×C₄₃	—	4	8	no	—
337	C₂×C₄×C₄₃	—	4	4	no	—
338	C₂×C₄×C₄₃	—	8	1	no	—
339	C₂×C₄×C₄₃	—	8	4	no	—
340	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
343	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
345	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
346	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
347	C₈×C₄₃	—	2	2	no	—
348	C₈×C₄₃	—	2	4	no	—
349	C₈×C₄₃	—	2	2	no	—
350	#61683	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
351	C₂²×C₄₃	—	2	1	no	—
352	C₂²×C₄₃	—	2	4	no	—
353	C₂²×C₄₃	—	2	1	no	—
354	C₂²×C₄₃	—	2	4	no	—
355	C₂²×C₄₃	—	2	1	no	—
356	C₂²×C₄₃	—	2	4	no	—
357	C₂²×C₄₃	—	4	2	no	—
358	C₂²×C₄₃	—	4	2	no	—
359	C₂²×C₄₃	—	4	2	no	—
360	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
361	C₄×C₄₃	—	2	1	no	—
362	C₄×C₄₃	—	2	1	no	—
363	C₄×C₄₃	—	2	4	no	—
364	C₄×C₄₃	—	2	1	no	—
365	C₄×C₄₃	—	2	4	no	—
366	C₄×C₄₃	—	2	1	no	—
367	C₄×C₄₃	—	4	2	no	—
368	C₄×C₄₃	—	4	2	no	—
369	C₄×C₄₃	—	4	2	no	—
370	C₄×C₄₃	—	4	2	no	—
371	C₄×C₄₃	—	4	2	no	—
372	C₄×C₄₃	—	4	2	no	—
373	C₄×C₄₃	#578	1	2	yes	—
374	C₄×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
375	#3550	C₂×C₄₃	1	1	yes	characteristic, complemented
376	#3497	C₂×C₄₃	1	1	yes	characteristic
377	#3328	C₂×C₄₃	1	2	yes	complemented
378	#3313	C₂×C₄₃	1	4	yes	complemented
379	#3304	C₂×C₄₃	1	2	yes	complemented
380	D₄×Q₁₆	C₂×C₄₃	1	2	yes	complemented
381	#3278	C₂×C₄₃	1	2	yes	complemented
382	#3270	C₂×C₄₃	1	4	yes	complemented
383	#3216	C₂×C₄₃	1	1	yes	characteristic, complemented
384	#3210	C₂×C₄₃	1	1	yes	characteristic, complemented
385	#3201	C₂×C₄₃	1	4	yes	complemented
386	#3113	C₂×C₄₃	1	1	yes	characteristic, complemented
387	#3104	C₂×C₄₃	1	1	yes	characteristic, complemented
388	#3011	C₂×C₄₃	1	4	yes	complemented
389	#2981	C₂×C₄₃	1	1	yes	characteristic, complemented
390	C₂×C₄₃	—	4	1	no	—
391	C₂×C₄₃	—	4	4	no	—
392	C₂×C₄₃	—	8	2	no	—
393	C₂×C₄₃	#3484	1	1	yes	characteristic
394	C₂×C₄₃	C₂×#578	1	1	yes	characteristic
395	C₂×C₄₃	#3586	1	1	yes	characteristic
396	C₂×2₋¹⁺⁴	C₂²×C₄₃	1	2	yes	—
397	C₂×#137	C₂²×C₄₃	1	4	yes	—
398	C₂²×Q₁₆	C₂²×C₄₃	1	4	yes	—
399	#563	—	2	2	no	—
400	#559	—	2	1	no	—
401	Q₈²	—	2	1	no	—
402	#556	C₂²×C₄₃	1	2	yes	—
403	#556	C₂²×C₄₃	1	2	yes	—
404	#550	—	2	1	no	—
405	#550	C₂²×C₄₃	1	2	yes	—
406	D₄×Q₈	—	2	1	no	—
407	D₄×Q₈	C₂²×C₄₃	1	2	yes	—
408	D₄×Q₈	C₂²×C₄₃	1	2	yes	—
409	D₄×Q₈	C₂²×C₄₃	1	2	yes	—
410	#548	—	2	2	no	—
411	#548	C₂²×C₄₃	1	4	yes	—
412	#542	—	2	2	no	—
413	#542	—	2	2	no	—
414	#537	—	2	2	no	—
415	#537	C₂²×C₄₃	1	2	yes	—
416	#536	C₂²×C₄₃	1	4	yes	—
417	#533	C₂²×C₄₃	1	1	yes	characteristic
418	#533	C₂²×C₄₃	1	1	yes	characteristic
419	#532	—	2	2	no	—
420	#532	C₂²×C₄₃	1	1	yes	characteristic
421	#532	C₂²×C₄₃	1	1	yes	characteristic
422	C₂×C₄×Q₈	C₂²×C₄₃	1	1	yes	characteristic
423	#497	C₂²×C₄₃	1	2	yes	—
424	#494	C₂²×C₄₃	1	1	yes	characteristic
425	#492	C₂²×C₄₃	1	1	yes	characteristic
426	#489	C₂²×C₄₃	1	2	yes	—
427	#487	C₂²×C₄₃	1	1	yes	characteristic
428	#486	C₂²×C₄₃	1	1	yes	characteristic
429	#485	C₂²×C₄₃	1	4	yes	—
430	#484	C₂²×C₄₃	1	2	yes	—
431	#483	C₂²×C₄₃	1	2	yes	—
432	#482	C₂²×C₄₃	1	4	yes	—
433	#477	C₂²×C₄₃	1	2	yes	—
434	#475	C₂²×C₄₃	1	2	yes	—
435	#470	C₂²×C₄₃	1	4	yes	—
436	#468	C₂²×C₄₃	1	4	yes	—
437	#467	C₂²×C₄₃	1	4	yes	—
438	#465	C₂²×C₄₃	1	4	yes	—
439	#464	C₂²×C₄₃	1	4	yes	—
440	#462	C₂²×C₄₃	1	2	yes	—
441	#462	C₂²×C₄₃	1	2	yes	—
442	#462	C₂²×C₄₃	1	2	yes	—
443	#460	C₂²×C₄₃	1	2	yes	—
444	#452	C₂²×C₄₃	1	4	yes	—
445	#452	C₂²×C₄₃	1	4	yes	—
446	#452	C₂²×C₄₃	1	4	yes	—
447	#452	C₂²×C₄₃	1	4	yes	—
448	#451	C₂²×C₄₃	1	4	yes	—
449	#451	C₂²×C₄₃	1	2	yes	—
450	#451	C₂²×C₄₃	1	2	yes	—
451	#451	C₂²×C₄₃	1	4	yes	—
452	#451	C₂²×C₄₃	1	4	yes	—
453	#448	C₂²×C₄₃	1	4	yes	—
454	#441	C₂²×C₄₃	1	4	yes	—
455	C₄×Q₁₆	C₂²×C₄₃	1	2	yes	—
456	C₄×Q₁₆	C₂²×C₄₃	1	2	yes	—
457	#436	C₂²×C₄₃	1	2	yes	—
458	#435	C₂²×C₄₃	1	4	yes	—
459	C₈×D₄	C₂²×C₄₃	1	2	yes	—
460	#432	C₂²×C₄₃	1	1	yes	characteristic
461	#431	C₂²×C₄₃	1	1	yes	characteristic
462	#419	C₂²×C₄₃	1	4	yes	—
463	#416	C₂²×C₄₃	1	4	yes	—
464	#408	C₂²×C₄₃	1	4	yes	—
465	C₄₃	#61683	1	1	yes	characteristic, direct product factor, Sylow
466	2₋¹⁺⁴	—	4	8	no	—
467	C₂×#41	—	2	4	no	—
468	C₂×#41	—	2	2	no	—
469	C₂×#41	C₂³×C₄₃	1	4	yes	—
470	C₂×#41	C₂³×C₄₃	1	2	yes	—
471	C₂×#41	C₂³×C₄₃	1	2	yes	—
472	C₂²×Q₈	—	2	2	no	—
473	C₂²×Q₈	C₂³×C₄₃	1	1	yes	characteristic
474	C₂²×Q₈	C₂³×C₄₃	1	4	yes	—
475	C₂²×Q₈	C₂³×C₄₃	1	4	yes	—
476	#137	—	4	8	no	—
477	C₂×Q₁₆	—	4	8	no	—
478	C₂×Q₁₆	C₂³×C₄₃	1	2	yes	—
479	C₂×Q₁₆	C₂³×C₄₃	1	4	yes	—
480	C₂×Q₁₆	C₂³×C₄₃	1	2	yes	—
481	C₂×Q₁₆	C₂³×C₄₃	1	4	yes	—
482	C₂×Q₁₆	C₂³×C₄₃	1	4	yes	—
483	C₂×SD₁₆	C₂³×C₄₃	1	4	yes	—
484	C₂×SD₁₆	C₂³×C₄₃	1	4	yes	—
485	C₂×M₁₆	C₂³×C₄₃	1	4	yes	—
486	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
487	C₄⋊Q₈	—	2	4	no	—
488	C₄⋊Q₈	—	2	2	no	—
489	C₄⋊Q₈	—	2	2	no	—
490	C₄⋊Q₈	—	2	2	no	—
491	C₄⋊Q₈	D₄×C₄₃	1	1	yes	characteristic
492	C₄⋊Q₈	C₂³×C₄₃	1	1	yes	characteristic
493	C₄⋊Q₈	C₂³×C₄₃	1	1	yes	characteristic
494	C₄⋊Q₈	C₂³×C₄₃	1	1	yes	characteristic
495	C₄⋊Q₈	C₂³×C₄₃	1	1	yes	characteristic
496	C₄⋊Q₈	C₂³×C₄₃	1	1	yes	characteristic
497	#127	—	2	2	no	—
498	#127	D₄×C₄₃	1	1	yes	characteristic
499	#127	C₂³×C₄₃	1	1	yes	characteristic
500	#126	—	2	4	no	—
501	#126	—	2	4	no	—
502	#125	—	2	1	no	—
503	#125	—	2	1	no	—
504	#124	—	2	4	no	—
505	#124	—	2	2	no	—
506	#124	—	2	2	no	—
507	#124	—	2	4	no	—
508	#124	D₄×C₄₃	1	2	yes	—
509	#124	C₂³×C₄₃	1	2	yes	—
510	#123	—	2	4	no	—
511	#123	—	2	4	no	—
512	C₂²⋊Q₈	—	2	2	no	—
513	C₂²⋊Q₈	—	2	1	no	—
514	C₂²⋊Q₈	—	2	1	no	—
515	C₂²⋊Q₈	—	2	4	no	—
516	C₂²⋊Q₈	—	2	4	no	—
517	C₂²⋊Q₈	—	2	4	no	—
518	C₂²⋊Q₈	—	2	4	no	—
519	C₂²⋊Q₈	C₂³×C₄₃	1	2	yes	—
520	C₂²⋊Q₈	C₂³×C₄₃	1	2	yes	—
521	C₂²⋊Q₈	C₂³×C₄₃	1	4	yes	—
522	C₂²⋊Q₈	C₂³×C₄₃	1	4	yes	—
523	C₂²⋊Q₈	C₂³×C₄₃	1	4	yes	—
524	#121	—	2	4	no	—
525	#121	—	2	4	no	—
526	#121	—	2	2	no	—
527	#121	—	2	1	no	—
528	#121	—	2	1	no	—
529	#121	—	2	4	no	—
530	#121	D₄×C₄₃	1	2	yes	—
531	#121	D₄×C₄₃	1	2	yes	—
532	#121	C₂³×C₄₃	1	4	yes	—
533	C₄×Q₈	—	2	2	no	—
534	C₄×Q₈	—	2	2	no	—
535	C₄×Q₈	—	2	1	no	—
536	C₄×Q₈	—	2	1	no	—
537	C₄×Q₈	—	2	1	no	—
538	C₄×Q₈	—	2	1	no	—
539	C₄×Q₈	C₂³×C₄₃	1	2	yes	—
540	C₄×Q₈	C₂³×C₄₃	1	2	yes	—
541	C₄×Q₈	C₂³×C₄₃	1	2	yes	—
542	C₄×Q₈	C₂³×C₄₃	1	2	yes	—
543	C₄×D₄	—	2	2	no	—
544	C₄×D₄	—	2	2	no	—
545	C₄×D₄	—	2	2	no	—
546	C₄×D₄	—	2	2	no	—
547	C₄×D₄	—	2	4	no	—
548	C₄×D₄	—	2	1	no	—
549	C₄×D₄	—	2	1	no	—
550	C₄×D₄	C₂³×C₄₃	1	2	yes	—
551	C₄×D₄	C₂³×C₄₃	1	2	yes	—
552	#117	—	2	1	no	—
553	#117	—	2	1	no	—
554	#117	C₂³×C₄₃	1	4	yes	—
555	C₂×C₄⋊C₄	—	2	1	no	—
556	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
557	C₂×C₄²	—	2	1	no	—
558	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
559	#107	C₂³×C₄₃	1	2	yes	—
560	#107	C₂³×C₄₃	1	2	yes	—
561	#106	C₂³×C₄₃	1	4	yes	—
562	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
563	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
564	#103	C₂³×C₄₃	1	2	yes	—
565	#103	C₂³×C₄₃	1	4	yes	—
566	#103	C₂³×C₄₃	1	2	yes	—
567	#103	C₂³×C₄₃	1	4	yes	—
568	#103	C₂³×C₄₃	1	4	yes	—
569	#103	C₂³×C₄₃	1	2	yes	—
570	#103	C₂³×C₄₃	1	2	yes	—
571	#103	C₂³×C₄₃	1	4	yes	—
572	#102	C₂³×C₄₃	1	4	yes	—
573	#102	C₂³×C₄₃	1	4	yes	—
574	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
575	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
576	C₂²⋊C₈	C₂³×C₄₃	1	4	yes	—
577	C₂²⋊C₈	C₂³×C₄₃	1	4	yes	—
578	#97	C₂³×C₄₃	1	2	yes	—
579	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
580	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
581	#41	—	2	8	no	—
582	#41	—	4	4	no	—
583	#41	—	4	4	no	—
584	#41	—	4	4	no	—
585	#41	—	4	16	no	—
586	#41	—	4	8	no	—
587	C₂×Q₈	—	2	4	no	—
588	C₂×Q₈	—	2	1	no	—
589	C₂×Q₈	—	2	1	no	—
590	C₂×Q₈	—	2	1	no	—
591	C₂×Q₈	—	2	4	no	—
592	C₂×Q₈	—	2	4	no	—
593	C₂×Q₈	—	2	8	no	—
594	C₂×Q₈	—	4	4	no	—
595	C₂×Q₈	—	4	4	no	—
596	C₂×Q₈	—	4	4	no	—
597	C₂×Q₈	—	4	8	no	—
598	C₂×Q₈	C₂×D₄×C₄₃	1	2	yes	—
599	C₂×Q₈	C₂⁴×C₄₃	1	2	yes	—
600	C₂×Q₈	C₂⁴×C₄₃	1	2	yes	—
601	C₂×Q₈	C₂⁴×C₄₃	1	2	yes	—
602	C₂×Q₈	C₂⁴×C₄₃	1	2	yes	—
603	C₂×D₄	—	2	2	no	—
604	C₂×D₄	—	2	4	no	—
605	C₂×D₄	—	2	4	no	—
606	C₂×D₄	—	2	1	no	—
607	C₂×D₄	—	2	1	no	—
608	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
609	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
610	C₂×D₄	C₂×D₄×C₄₃	1	4	yes	—
611	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
612	C₂×D₄	C₂⁴×C₄₃	1	2	yes	—
613	C₂²×C₄	—	2	1	no	—
614	C₂²×C₄	—	2	4	no	—
615	C₂²×C₄	—	2	1	no	—
616	C₂²×C₄	—	2	4	no	—
617	C₂²×C₄	—	2	4	no	—
618	C₂²×C₄	—	2	2	no	—
619	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
620	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
621	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
622	C₂²×C₄	C₂⁴×C₄₃	1	4	yes	—
623	Q₁₆	—	2	4	no	—
624	Q₁₆	—	2	8	no	—
625	Q₁₆	—	2	4	no	—
626	Q₁₆	—	4	4	no	—
627	Q₁₆	—	4	4	no	—
628	SD₁₆	—	4	4	no	—
629	SD₁₆	—	4	4	no	—
630	M₁₆	—	4	4	no	—
631	C₂×C₈	—	4	4	no	—
632	C₂×C₈	C₂⁴×C₄₃	1	2	yes	—
633	C₂×C₈	C₂⁴×C₄₃	1	2	yes	—
634	C₂×C₈	C₂⁴×C₄₃	1	4	yes	—
635	C₄⋊C₄	—	2	2	no	—
636	C₄⋊C₄	—	2	2	no	—
637	C₄⋊C₄	—	2	1	no	—
638	C₄⋊C₄	—	2	1	no	—
639	C₄⋊C₄	—	2	1	no	—
640	C₄⋊C₄	—	2	1	no	—
641	C₄⋊C₄	—	2	1	no	—
642	C₄⋊C₄	—	2	1	no	—
643	C₄⋊C₄	—	2	1	no	—
644	C₄⋊C₄	—	2	1	no	—
645	C₄⋊C₄	—	2	1	no	—
646	C₄⋊C₄	—	2	4	no	—
647	C₄⋊C₄	—	2	4	no	—
648	C₄⋊C₄	—	2	4	no	—
649	C₄⋊C₄	—	2	2	no	—
650	C₄⋊C₄	—	2	2	no	—
651	C₄⋊C₄	—	2	2	no	—
652	C₄⋊C₄	—	2	2	no	—
653	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
654	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
655	C₄⋊C₄	C₂⁴×C₄₃	1	2	yes	—
656	C₄⋊C₄	C₂⁴×C₄₃	1	2	yes	—
657	C₄⋊C₄	C₂⁴×C₄₃	1	2	yes	—
658	C₂²⋊C₄	—	2	2	no	—
659	C₂²⋊C₄	—	2	2	no	—
660	C₂²⋊C₄	—	2	4	no	—
661	C₂²⋊C₄	—	2	4	no	—
662	C₂²⋊C₄	—	2	4	no	—
663	C₂²⋊C₄	—	2	4	no	—
664	C₂²⋊C₄	—	2	2	no	—
665	C₂²⋊C₄	—	2	2	no	—
666	C₂²⋊C₄	—	2	4	no	—
667	C₂²⋊C₄	C₂×D₄×C₄₃	1	4	yes	—
668	C₂²⋊C₄	C₂×D₄×C₄₃	1	4	yes	—
669	C₄²	—	2	2	no	—
670	C₄²	—	2	2	no	—
671	C₄²	—	2	2	no	—
672	C₄²	—	2	2	no	—
673	C₄²	—	2	4	no	—
674	C₄²	C₂×D₄×C₄₃	1	1	yes	characteristic
675	C₄²	C₂×D₄×C₄₃	1	1	yes	characteristic
676	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
677	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
678	C₂³	—	2	2	no	—
679	C₂³	C₂²×D₄×C₄₃	1	4	yes	—
680	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
681	Q₈	—	2	4	no	—
682	Q₈	—	2	2	no	—
683	Q₈	—	2	2	no	—
684	Q₈	—	2	4	no	—
685	Q₈	—	2	2	no	—
686	Q₈	—	2	4	no	—
687	Q₈	—	4	2	no	—
688	Q₈	—	4	8	no	—
689	Q₈	—	4	2	no	—
690	Q₈	—	4	2	no	—
691	Q₈	—	8	4	no	—
692	Q₈	H(5,𝔽₂)×C₄₃	1	4	yes	—
693	D₄	—	2	4	no	—
694	D₄	—	2	4	no	—
695	D₄	—	4	2	no	—
696	D₄	—	4	4	no	—
697	D₄	—	4	2	no	—
698	D₄	—	4	8	no	—
699	D₄	—	4	4	no	—
700	D₄	—	4	2	no	—
701	D₄	—	8	1	no	—
702	D₄	—	8	4	no	—
703	C₂×C₄	—	2	4	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	4	no	—
707	C₂×C₄	—	2	4	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	2	no	—
713	C₂×C₄	—	2	2	no	—
714	C₂×C₄	—	2	2	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	—	4	8	no	—
717	C₂×C₄	—	4	8	no	—
718	C₂×C₄	—	4	4	no	—
719	C₂×C₄	—	8	4	no	—
720	C₂×C₄	—	8	1	no	—
721	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
722	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
723	C₂×C₄	C₂²×D₄×C₄₃	1	4	yes	—
724	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
725	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
726	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
727	C₂×C₄	C₂⁵×C₄₃	1	1	yes	characteristic
728	C₈	—	2	2	no	—
729	C₈	—	2	4	no	—
730	C₈	—	2	2	no	—
731	C₂²	—	2	1	no	—
732	C₂²	—	2	4	no	—
733	C₂²	—	2	1	no	—
734	C₂²	—	2	4	no	—
735	C₂²	—	2	1	no	—
736	C₂²	—	2	4	no	—
737	C₂²	—	4	2	no	—
738	C₂²	—	4	2	no	—
739	C₂²	—	4	2	no	—
740	C₂²	C₂³×D₄×C₄₃	1	1	yes	characteristic
741	C₄	—	2	4	no	—
742	C₄	—	2	1	no	—
743	C₄	—	2	4	no	—
744	C₄	—	2	1	no	—
745	C₄	—	2	1	no	—
746	C₄	—	2	1	no	—
747	C₄	—	4	2	no	—
748	C₄	—	4	2	no	—
749	C₄	—	4	2	no	—
750	C₄	—	4	2	no	—
751	C₄	—	4	2	no	—
752	C₄	—	4	2	no	—
753	C₄	C₄₃×#578	1	2	yes	—
754	C₄	C₂×H(5,𝔽₂)×C₄₃	1	2	yes	—
755	C₂	—	4	1	no	—
756	C₂	—	4	4	no	—
757	C₂	—	8	2	no	—
758	C₂	C₄₃×#3484	1	1	yes	characteristic
759	C₂	C₂×C₄₃×#578	1	1	yes	characteristic
760	C₂	C₄₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₃
prime radical	C₄₃×#3497	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₃ ◁ C₄₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₃×#3550	C₂	semidirect
3. C₄₃×#3328	C₂	semidirect
4. C₄₃×#3313	C₂	semidirect
5. C₄₃×#3304	C₂	semidirect
6. D₄×Q₁₆×C₄₃	C₂	semidirect
7. C₄₃×#3278	C₂	semidirect
8. C₄₃×#3270	C₂	semidirect
9. C₄₃×#3216	C₂	semidirect
10. C₄₃×#3210	C₂	semidirect
11. C₄₃×#3201	C₂	semidirect
12. C₄₃×#3113	C₂	semidirect
13. C₄₃×#3104	C₂	semidirect
14. C₄₃×#3011	C₂	semidirect
15. C₄₃×#2981	C₂	semidirect
350. #61683	C₄₃	direct (N × H)
375. #3550	C₂×C₄₃	semidirect
377. #3328	C₂×C₄₃	semidirect
378. #3313	C₂×C₄₃	semidirect
379. #3304	C₂×C₄₃	semidirect
380. D₄×Q₁₆	C₂×C₄₃	semidirect
381. #3278	C₂×C₄₃	semidirect
382. #3270	C₂×C₄₃	semidirect
383. #3216	C₂×C₄₃	semidirect
384. #3210	C₂×C₄₃	semidirect
385. #3201	C₂×C₄₃	semidirect
386. #3113	C₂×C₄₃	semidirect
387. #3104	C₂×C₄₃	semidirect
388. #3011	C₂×C₄₃	semidirect
389. #2981	C₂×C₄₃	semidirect
465. C₄₃	#61683	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₃×#3550	2
C₄₃×#3497	2
C₄₃×#3328	2
C₄₃×#3313	2
C₄₃×#3304	2
D₄×Q₁₆×C₄₃	2
C₄₃×#3278	2
C₄₃×#3270	2
C₄₃×#3216	2
C₄₃×#3210	2
C₄₃×#3201	2
C₄₃×#3113	2
C₄₃×#3104	2
C₄₃×#3011	2
C₄₃×#2981	2
#61683	43

Subgroups — C43×#61683 #24981700

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#61683 #24981700