Subgroups — C₄₃×#23482 #24943499

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#525	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄₃×#428	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₄₃×#407	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₄₃×#380	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#2036	C₂	1	2	yes	maximal, complemented
8	C₄₃×#2035	C₂	1	2	yes	maximal, complemented
9	C₄₃×#2034	C₂	1	2	yes	maximal, complemented
10	C₄₃×#2033	C₂	1	2	yes	maximal, complemented
11	C₄₃×#1736	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
13	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
14	C₂²×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
15	C₂²×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
16	C₄₃×#525	—	2	4	no	—
17	C₄₃×#525	—	2	4	no	—
18	C₂×#123×C₄₃	—	2	1	no	—
19	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
20	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
21	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
22	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
23	C₂×#120×C₄₃	—	2	1	no	—
24	C₂×C₄×D₄×C₄₃	—	2	1	no	—
25	C₂×C₄×D₄×C₄₃	—	2	1	no	—
26	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
27	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
28	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
29	C₂²×C₂²⋊C₄×C₄₃	—	2	1	no	—
30	C₄₃×#428	—	2	4	no	—
31	C₂×#107×C₄₃	C₂²	1	2	yes	complemented
32	C₂×#106×C₄₃	C₂²	1	2	yes	complemented
33	C₄₃×#417	—	2	4	no	—
34	C₄₃×#417	—	2	4	no	—
35	C₂×#103×C₄₃	C₂²	1	2	yes	complemented
36	C₂×#103×C₄₃	C₂²	1	2	yes	complemented
37	C₂×#102×C₄₃	C₂²	1	2	yes	complemented
38	C₂×#102×C₄₃	C₂²	1	2	yes	complemented
39	C₄₃×#407	—	2	4	no	—
40	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
41	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
42	C₄₃×#380	—	2	1	no	—
43	C₄₃×#380	—	2	1	no	—
44	C₄₃×#380	C₂²	1	2	yes	—
45	C₄₃×#380	C₂²	1	2	yes	—
46	C₂×#95×C₄₃	—	2	1	no	—
47	C₄₃×#340	C₂²	1	2	yes	complemented
48	C₄₃×#340	C₂²	1	2	yes	complemented
49	C₂⁵×C₄₃	D₄	1	1	yes	characteristic
50	C₂×#41×C₄₃	—	2	2	no	—
51	C₂×#41×C₄₃	—	2	2	no	—
52	C₂×#41×C₄₃	—	2	2	no	—
53	C₂×#41×C₄₃	—	2	2	no	—
54	C₂×#41×C₄₃	—	2	2	no	—
55	C₂×#41×C₄₃	D₄	1	4	yes	—
56	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
57	C₂²×D₄×C₄₃	—	2	1	no	—
58	C₂²×D₄×C₄₃	—	2	1	no	—
59	C₂²×D₄×C₄₃	—	2	1	no	—
60	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
61	C₂³×C₄×C₄₃	—	2	1	no	—
62	C₂³×C₄×C₄₃	—	2	2	no	—
63	C₂³×C₄×C₄₃	—	2	2	no	—
64	C₂³×C₄×C₄₃	—	2	2	no	—
65	C₂³×C₄×C₄₃	—	2	2	no	—
66	C₂³×C₄×C₄₃	—	2	2	no	—
67	C₂³×C₄×C₄₃	—	2	2	no	—
68	C₂³×C₄×C₄₃	—	2	1	no	—
69	C₂³×C₄×C₄₃	—	2	1	no	—
70	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
71	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
72	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
73	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
75	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
76	C₂×M₁₆×C₄₃	—	2	2	no	—
77	C₂×M₁₆×C₄₃	—	2	2	no	—
78	C₂×M₁₆×C₄₃	—	2	2	no	—
79	C₂×M₁₆×C₄₃	—	2	2	no	—
80	C₂×M₁₆×C₄₃	—	2	2	no	—
81	C₂×M₁₆×C₄₃	D₄	1	4	yes	complemented
82	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
83	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
84	#123×C₄₃	—	2	8	no	—
85	C₂²⋊Q₈×C₄₃	—	2	2	no	—
86	C₂²⋊Q₈×C₄₃	—	2	2	no	—
87	C₂²⋊Q₈×C₄₃	—	2	2	no	—
88	C₂²⋊Q₈×C₄₃	—	2	2	no	—
89	#121×C₄₃	—	2	2	no	—
90	#121×C₄₃	—	2	2	no	—
91	#121×C₄₃	—	2	2	no	—
92	#121×C₄₃	—	2	2	no	—
93	#120×C₄₃	—	2	8	no	—
94	C₄×D₄×C₄₃	—	2	8	no	—
95	C₄×D₄×C₄₃	—	2	8	no	—
96	#117×C₄₃	—	2	2	no	—
97	#117×C₄₃	D₄	1	4	yes	—
98	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
99	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
100	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
101	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
102	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
103	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
104	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
105	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
106	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
107	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
108	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
109	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
110	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
111	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
112	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
113	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
114	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
115	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
116	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
117	C₂×C₂²⋊C₄×C₄₃	—	4	4	no	—
118	C₂×C₄²×C₄₃	—	2	1	no	—
119	#107×C₄₃	—	2	4	no	—
120	#106×C₄₃	—	2	4	no	—
121	#103×C₄₃	—	2	4	no	—
122	#103×C₄₃	—	2	4	no	—
123	#102×C₄₃	—	2	4	no	—
124	#102×C₄₃	—	2	4	no	—
125	C₂²⋊C₈×C₄₃	—	2	4	no	—
126	C₂²⋊C₈×C₄₃	—	2	4	no	—
127	#95×C₄₃	—	2	2	no	—
128	#95×C₄₃	—	2	2	no	—
129	C₂⁴×C₄₃	—	2	2	no	—
130	C₂⁴×C₄₃	—	2	2	no	—
131	C₂⁴×C₄₃	—	2	2	no	—
132	C₂⁴×C₄₃	—	2	2	no	—
133	C₂⁴×C₄₃	—	2	2	no	—
134	C₂⁴×C₄₃	—	2	1	no	—
135	C₂⁴×C₄₃	—	4	1	no	—
136	C₂⁴×C₄₃	—	4	1	no	—
137	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
138	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
139	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
140	#41×C₄₃	—	2	8	no	—
141	#41×C₄₃	—	2	8	no	—
142	#41×C₄₃	—	4	4	no	—
143	#41×C₄₃	—	4	4	no	—
144	C₂×Q₈×C₄₃	—	2	1	no	—
145	C₂×Q₈×C₄₃	—	2	1	no	—
146	C₂×Q₈×C₄₃	—	2	1	no	—
147	C₂×Q₈×C₄₃	—	2	1	no	—
148	C₂×Q₈×C₄₃	—	2	1	no	—
149	C₂×Q₈×C₄₃	C₂×D₄	1	2	yes	—
150	C₂×D₄×C₄₃	—	2	4	no	—
151	C₂×D₄×C₄₃	—	2	4	no	—
152	C₂×D₄×C₄₃	—	2	1	no	—
153	C₂×D₄×C₄₃	—	2	4	no	—
154	C₂×D₄×C₄₃	—	2	1	no	—
155	C₂×D₄×C₄₃	—	2	1	no	—
156	C₂×D₄×C₄₃	—	2	1	no	—
157	C₂×D₄×C₄₃	—	2	1	no	—
158	C₂×D₄×C₄₃	—	4	2	no	—
159	C₂×D₄×C₄₃	—	4	2	no	—
160	C₂×D₄×C₄₃	—	4	2	no	—
161	C₂×D₄×C₄₃	—	4	2	no	—
162	C₂×D₄×C₄₃	—	4	2	no	—
163	C₂×D₄×C₄₃	—	4	2	no	—
164	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
165	C₂²×C₄×C₄₃	—	2	2	no	—
166	C₂²×C₄×C₄₃	—	2	2	no	—
167	C₂²×C₄×C₄₃	—	2	4	no	—
168	C₂²×C₄×C₄₃	—	2	2	no	—
169	C₂²×C₄×C₄₃	—	2	2	no	—
170	C₂²×C₄×C₄₃	—	2	2	no	—
171	C₂²×C₄×C₄₃	—	2	2	no	—
172	C₂²×C₄×C₄₃	—	2	1	no	—
173	C₂²×C₄×C₄₃	—	2	1	no	—
174	C₂²×C₄×C₄₃	—	2	1	no	—
175	C₂²×C₄×C₄₃	—	2	1	no	—
176	C₂²×C₄×C₄₃	—	2	1	no	—
177	C₂²×C₄×C₄₃	—	2	1	no	—
178	C₂²×C₄×C₄₃	—	2	1	no	—
179	C₂²×C₄×C₄₃	—	2	1	no	—
180	C₂²×C₄×C₄₃	—	2	1	no	—
181	C₂²×C₄×C₄₃	—	2	1	no	—
182	C₂²×C₄×C₄₃	—	2	1	no	—
183	C₂²×C₄×C₄₃	—	2	1	no	—
184	C₂²×C₄×C₄₃	—	2	2	no	—
185	C₂²×C₄×C₄₃	—	2	2	no	—
186	C₂²×C₄×C₄₃	—	2	2	no	—
187	C₂²×C₄×C₄₃	—	2	1	no	—
188	C₂²×C₄×C₄₃	—	2	1	no	—
189	C₂²×C₄×C₄₃	—	2	1	no	—
190	C₂²×C₄×C₄₃	—	2	2	no	—
191	C₂²×C₄×C₄₃	—	2	2	no	—
192	C₂²×C₄×C₄₃	—	4	2	no	—
193	C₂²×C₄×C₄₃	—	4	2	no	—
194	C₂²×C₄×C₄₃	—	4	2	no	—
195	C₂²×C₄×C₄₃	—	4	2	no	—
196	C₂²×C₄×C₄₃	—	4	4	no	—
197	C₂²×C₄×C₄₃	—	4	4	no	—
198	C₂²×C₄×C₄₃	—	4	2	no	—
199	C₂²×C₄×C₄₃	—	4	4	no	—
200	C₂²×C₄×C₄₃	—	4	2	no	—
201	C₂²×C₄×C₄₃	—	4	4	no	—
202	C₂²×C₄×C₄₃	—	4	2	no	—
203	C₂²×C₄×C₄₃	—	4	2	no	—
204	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
205	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
206	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
207	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
210	C₂²×C₄×C₄₃	#41	1	2	yes	—
211	C₂²×C₄×C₄₃	#41	1	2	yes	—
212	C₂²×C₄×C₄₃	#41	1	2	yes	—
213	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
214	M₁₆×C₄₃	—	2	8	no	—
215	M₁₆×C₄₃	—	4	4	no	—
216	C₂×C₈×C₄₃	—	2	2	no	—
217	C₂×C₈×C₄₃	—	2	2	no	—
218	C₂×C₈×C₄₃	—	2	2	no	—
219	C₂×C₈×C₄₃	—	2	2	no	—
220	C₂×C₈×C₄₃	—	2	2	no	—
221	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
222	C₄⋊C₄×C₄₃	—	2	4	no	—
223	C₄⋊C₄×C₄₃	—	2	4	no	—
224	C₄⋊C₄×C₄₃	—	2	1	no	—
225	C₄⋊C₄×C₄₃	—	2	1	no	—
226	C₄⋊C₄×C₄₃	—	2	2	no	—
227	C₄⋊C₄×C₄₃	—	2	2	no	—
228	C₄⋊C₄×C₄₃	—	2	2	no	—
229	C₄⋊C₄×C₄₃	—	2	2	no	—
230	C₄⋊C₄×C₄₃	—	4	2	no	—
231	C₄⋊C₄×C₄₃	—	4	2	no	—
232	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
233	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
234	C₂²⋊C₄×C₄₃	—	2	4	no	—
235	C₂²⋊C₄×C₄₃	—	2	4	no	—
236	C₂²⋊C₄×C₄₃	—	2	4	no	—
237	C₂²⋊C₄×C₄₃	—	2	4	no	—
238	C₂²⋊C₄×C₄₃	—	2	4	no	—
239	C₂²⋊C₄×C₄₃	—	4	4	no	—
240	C₂²⋊C₄×C₄₃	—	4	4	no	—
241	C₄²×C₄₃	—	2	4	no	—
242	C₂³×C₄₃	—	2	1	no	—
243	C₂³×C₄₃	—	2	1	no	—
244	C₂³×C₄₃	—	2	1	no	—
245	C₂³×C₄₃	—	2	1	no	—
246	C₂³×C₄₃	—	2	8	no	—
247	C₂³×C₄₃	—	2	1	no	—
248	C₂³×C₄₃	—	2	1	no	—
249	C₂³×C₄₃	—	2	1	no	—
250	C₂³×C₄₃	—	2	1	no	—
251	C₂³×C₄₃	—	2	1	no	—
252	C₂³×C₄₃	—	2	1	no	—
253	C₂³×C₄₃	—	2	1	no	—
254	C₂³×C₄₃	—	2	1	no	—
255	C₂³×C₄₃	—	2	1	no	—
256	C₂³×C₄₃	—	2	1	no	—
257	C₂³×C₄₃	—	2	1	no	—
258	C₂³×C₄₃	—	2	1	no	—
259	C₂³×C₄₃	—	2	2	no	—
260	C₂³×C₄₃	—	4	4	no	—
261	C₂³×C₄₃	—	4	4	no	—
262	C₂³×C₄₃	—	4	4	no	—
263	C₂³×C₄₃	—	4	4	no	—
264	C₂³×C₄₃	—	4	4	no	—
265	C₂³×C₄₃	—	4	4	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	#120	1	2	yes	—
273	C₂³×C₄₃	#121	1	2	yes	—
274	C₂³×C₄₃	#123	1	2	yes	—
275	C₂³×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
276	C₂³×C₄₃	#137	1	2	yes	—
277	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
278	Q₈×C₄₃	—	2	2	no	—
279	Q₈×C₄₃	—	2	2	no	—
280	Q₈×C₄₃	—	4	1	no	—
281	Q₈×C₄₃	—	4	1	no	—
282	D₄×C₄₃	—	2	2	no	—
283	D₄×C₄₃	—	2	2	no	—
284	D₄×C₄₃	—	4	8	no	—
285	D₄×C₄₃	—	4	8	no	—
286	D₄×C₄₃	—	4	8	no	—
287	D₄×C₄₃	—	4	1	no	—
288	D₄×C₄₃	—	4	1	no	—
289	C₂×C₄×C₄₃	—	2	2	no	—
290	C₂×C₄×C₄₃	—	2	2	no	—
291	C₂×C₄×C₄₃	—	2	1	no	—
292	C₂×C₄×C₄₃	—	2	1	no	—
293	C₂×C₄×C₄₃	—	2	2	no	—
294	C₂×C₄×C₄₃	—	2	1	no	—
295	C₂×C₄×C₄₃	—	2	1	no	—
296	C₂×C₄×C₄₃	—	2	1	no	—
297	C₂×C₄×C₄₃	—	2	1	no	—
298	C₂×C₄×C₄₃	—	4	1	no	—
299	C₂×C₄×C₄₃	—	4	1	no	—
300	C₂×C₄×C₄₃	—	4	1	no	—
301	C₂×C₄×C₄₃	—	4	1	no	—
302	C₂×C₄×C₄₃	—	4	1	no	—
303	C₂×C₄×C₄₃	—	4	1	no	—
304	C₂×C₄×C₄₃	—	4	4	no	—
305	C₂×C₄×C₄₃	—	4	1	no	—
306	C₂×C₄×C₄₃	—	4	1	no	—
307	C₂×C₄×C₄₃	—	4	1	no	—
308	C₂×C₄×C₄₃	—	4	1	no	—
309	C₂×C₄×C₄₃	—	4	1	no	—
310	C₂×C₄×C₄₃	—	4	1	no	—
311	C₂×C₄×C₄₃	—	4	1	no	—
312	C₂×C₄×C₄₃	—	4	1	no	—
313	C₂×C₄×C₄₃	—	4	4	no	—
314	C₂×C₄×C₄₃	—	4	4	no	—
315	C₂×C₄×C₄₃	—	4	8	no	—
316	C₂×C₄×C₄₃	—	4	2	no	—
317	C₂×C₄×C₄₃	—	4	2	no	—
318	C₂×C₄×C₄₃	—	4	2	no	—
319	C₂×C₄×C₄₃	—	4	2	no	—
320	C₂×C₄×C₄₃	—	4	2	no	—
321	C₂×C₄×C₄₃	—	4	2	no	—
322	C₂×C₄×C₄₃	—	8	4	no	—
323	C₂×C₄×C₄₃	—	8	4	no	—
324	C₂×C₄×C₄₃	#120	1	2	yes	—
325	C₂×C₄×C₄₃	#121	1	4	yes	—
326	C₂×C₄×C₄₃	#121	1	4	yes	—
327	C₂×C₄×C₄₃	#121	1	2	yes	—
328	C₂×C₄×C₄₃	#123	1	4	yes	—
329	C₂×C₄×C₄₃	#123	1	2	yes	—
330	C₂×C₄×C₄₃	#124	1	4	yes	—
331	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
332	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
333	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
334	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
335	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
336	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
337	C₈×C₄₃	—	2	4	no	—
338	C₈×C₄₃	—	4	2	no	—
339	#23482	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
340	C₂²×C₄₃	—	2	2	no	—
341	C₂²×C₄₃	—	2	2	no	—
342	C₂²×C₄₃	—	2	2	no	—
343	C₂²×C₄₃	—	2	2	no	—
344	C₂²×C₄₃	—	2	2	no	—
345	C₂²×C₄₃	—	2	2	no	—
346	C₂²×C₄₃	—	2	2	no	—
347	C₂²×C₄₃	—	2	2	no	—
348	C₂²×C₄₃	—	2	2	no	—
349	C₂²×C₄₃	—	2	2	no	—
350	C₂²×C₄₃	—	2	2	no	—
351	C₂²×C₄₃	—	2	2	no	—
352	C₂²×C₄₃	—	4	16	no	—
353	C₂²×C₄₃	—	4	1	no	—
354	C₂²×C₄₃	—	4	1	no	—
355	C₂²×C₄₃	—	4	1	no	—
356	C₂²×C₄₃	—	4	1	no	—
357	C₂²×C₄₃	—	4	1	no	—
358	C₂²×C₄₃	—	4	1	no	—
359	C₂²×C₄₃	—	4	1	no	—
360	C₂²×C₄₃	—	4	1	no	—
361	C₂²×C₄₃	—	4	2	no	—
362	C₂²×C₄₃	—	4	2	no	—
363	C₂²×C₄₃	—	4	2	no	—
364	C₂²×C₄₃	—	8	1	no	—
365	C₂²×C₄₃	—	8	1	no	—
366	C₂²×C₄₃	—	8	1	no	—
367	C₂²×C₄₃	—	8	1	no	—
368	C₂²×C₄₃	#394	1	4	yes	—
369	C₂²×C₄₃	C₂×#120	1	1	yes	characteristic
370	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
371	C₂²×C₄₃	C₂×#123	1	1	yes	characteristic
372	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
373	C₂²×C₄₃	C₂×#137	1	1	yes	characteristic
374	C₂²×C₄₃	#575	1	1	yes	characteristic
375	C₂²×C₄₃	#575	1	1	yes	characteristic
376	C₄×C₄₃	—	4	1	no	—
377	C₄×C₄₃	—	4	1	no	—
378	C₄×C₄₃	—	4	2	no	—
379	C₄×C₄₃	—	4	2	no	—
380	C₄×C₄₃	—	4	2	no	—
381	C₄×C₄₃	—	8	2	no	—
382	C₄×C₄₃	—	8	2	no	—
383	C₄×C₄₃	#394	1	4	yes	—
384	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
385	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
386	C₄×C₄₃	C₂×#123	1	1	yes	characteristic
387	C₄×C₄₃	C₂×#124	1	1	yes	characteristic
388	C₂×#525	C₂×C₄₃	1	1	yes	characteristic
389	C₂×#428	C₂×C₄₃	1	1	yes	characteristic, complemented
390	C₂×#417	C₂×C₄₃	1	1	yes	characteristic, complemented
391	C₂×#417	C₂×C₄₃	1	1	yes	characteristic, complemented
392	C₂×#407	C₂×C₄₃	1	1	yes	characteristic, complemented
393	C₂×#380	C₂×C₄₃	1	1	yes	characteristic, complemented
394	#2036	C₂×C₄₃	1	2	yes	complemented
395	#2035	C₂×C₄₃	1	2	yes	complemented
396	#2034	C₂×C₄₃	1	2	yes	complemented
397	#2033	C₂×C₄₃	1	2	yes	complemented
398	#1736	C₂×C₄₃	1	1	yes	characteristic, complemented
399	C₂×C₄₃	—	2	4	no	—
400	C₂×C₄₃	—	4	2	no	—
401	C₂×C₄₃	—	4	2	no	—
402	C₂×C₄₃	—	8	2	no	—
403	C₂×C₄₃	C₂×#394	1	1	yes	characteristic
404	C₂×C₄₃	#3006	1	1	yes	characteristic
405	C₂×C₄₃	#3007	1	1	yes	characteristic
406	C₂×C₄₃	#3055	1	1	yes	characteristic
407	C₂×C₄₃	#3056	1	1	yes	characteristic
408	C₂×C₄₃	#3092	1	1	yes	characteristic
409	C₂×C₄₃	#3093	1	1	yes	characteristic
410	C₂²×#41	C₂²×C₄₃	1	1	yes	characteristic
411	C₂⁴×C₄	C₂²×C₄₃	1	1	yes	characteristic
412	C₂²×M₁₆	C₂²×C₄₃	1	1	yes	characteristic
413	C₂²×M₁₆	C₂²×C₄₃	1	1	yes	characteristic
414	#525	—	2	4	no	—
415	#525	—	2	4	no	—
416	C₂×#123	—	2	1	no	—
417	C₂×C₂²⋊Q₈	C₂²×C₄₃	1	1	yes	characteristic
418	C₂×C₂²⋊Q₈	C₂²×C₄₃	1	1	yes	characteristic
419	C₂×#121	C₂²×C₄₃	1	1	yes	characteristic
420	C₂×#121	C₂²×C₄₃	1	1	yes	characteristic
421	C₂×#120	—	2	1	no	—
422	C₂×C₄×D₄	—	2	1	no	—
423	C₂×C₄×D₄	—	2	1	no	—
424	C₂×#117	C₂²×C₄₃	1	1	yes	characteristic
425	C₂²×C₄⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
426	C₂²×C₄⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
427	C₂²×C₂²⋊C₄	—	2	1	no	—
428	#428	—	2	4	no	—
429	C₂×#107	C₂²×C₄₃	1	2	yes	complemented
430	C₂×#106	C₂²×C₄₃	1	2	yes	complemented
431	#417	—	2	4	no	—
432	#417	—	2	4	no	—
433	C₂×#103	C₂²×C₄₃	1	2	yes	complemented
434	C₂×#103	C₂²×C₄₃	1	2	yes	complemented
435	C₂×#102	C₂²×C₄₃	1	2	yes	complemented
436	C₂×#102	C₂²×C₄₃	1	2	yes	complemented
437	#407	—	2	4	no	—
438	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
439	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
440	#380	—	2	1	no	—
441	#380	—	2	1	no	—
442	#380	C₂²×C₄₃	1	2	yes	—
443	#380	C₂²×C₄₃	1	2	yes	—
444	C₂×#95	—	2	1	no	—
445	#340	C₂²×C₄₃	1	2	yes	complemented
446	#340	C₂²×C₄₃	1	2	yes	complemented
447	C₄₃	#23482	1	1	yes	characteristic, direct product factor, Sylow
448	C₂⁵	D₄×C₄₃	1	1	yes	characteristic
449	C₂×#41	—	2	2	no	—
450	C₂×#41	—	2	2	no	—
451	C₂×#41	—	2	2	no	—
452	C₂×#41	—	2	2	no	—
453	C₂×#41	—	2	2	no	—
454	C₂×#41	D₄×C₄₃	1	4	yes	—
455	C₂²×Q₈	C₂³×C₄₃	1	1	yes	characteristic
456	C₂²×D₄	—	2	1	no	—
457	C₂²×D₄	—	2	1	no	—
458	C₂²×D₄	—	2	1	no	—
459	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
460	C₂³×C₄	—	2	1	no	—
461	C₂³×C₄	—	2	2	no	—
462	C₂³×C₄	—	2	2	no	—
463	C₂³×C₄	—	2	2	no	—
464	C₂³×C₄	—	2	2	no	—
465	C₂³×C₄	—	2	2	no	—
466	C₂³×C₄	—	2	2	no	—
467	C₂³×C₄	—	2	1	no	—
468	C₂³×C₄	—	2	1	no	—
469	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
470	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
471	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
472	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
473	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
474	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
475	C₂×M₁₆	—	2	2	no	—
476	C₂×M₁₆	—	2	2	no	—
477	C₂×M₁₆	—	2	2	no	—
478	C₂×M₁₆	—	2	2	no	—
479	C₂×M₁₆	—	2	2	no	—
480	C₂×M₁₆	D₄×C₄₃	1	4	yes	complemented
481	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
482	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
483	#123	—	2	8	no	—
484	C₂²⋊Q₈	—	2	2	no	—
485	C₂²⋊Q₈	—	2	2	no	—
486	C₂²⋊Q₈	—	2	2	no	—
487	C₂²⋊Q₈	—	2	2	no	—
488	#121	—	2	2	no	—
489	#121	—	2	2	no	—
490	#121	—	2	2	no	—
491	#121	—	2	2	no	—
492	#120	—	2	8	no	—
493	C₄×D₄	—	2	8	no	—
494	C₄×D₄	—	2	8	no	—
495	#117	—	2	2	no	—
496	#117	D₄×C₄₃	1	4	yes	—
497	C₂×C₄⋊C₄	—	2	1	no	—
498	C₂×C₄⋊C₄	—	2	1	no	—
499	C₂×C₄⋊C₄	—	2	2	no	—
500	C₂×C₄⋊C₄	—	2	2	no	—
501	C₂×C₄⋊C₄	—	2	2	no	—
502	C₂×C₄⋊C₄	—	2	2	no	—
503	C₂×C₄⋊C₄	—	2	1	no	—
504	C₂×C₄⋊C₄	—	2	1	no	—
505	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
506	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
507	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
508	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
509	C₂×C₂²⋊C₄	—	2	1	no	—
510	C₂×C₂²⋊C₄	—	2	1	no	—
511	C₂×C₂²⋊C₄	—	2	1	no	—
512	C₂×C₂²⋊C₄	—	2	1	no	—
513	C₂×C₂²⋊C₄	—	2	1	no	—
514	C₂×C₂²⋊C₄	—	2	2	no	—
515	C₂×C₂²⋊C₄	—	2	2	no	—
516	C₂×C₂²⋊C₄	—	4	4	no	—
517	C₂×C₄²	—	2	1	no	—
518	#107	—	2	4	no	—
519	#106	—	2	4	no	—
520	#103	—	2	4	no	—
521	#103	—	2	4	no	—
522	#102	—	2	4	no	—
523	#102	—	2	4	no	—
524	C₂²⋊C₈	—	2	4	no	—
525	C₂²⋊C₈	—	2	4	no	—
526	#95	—	2	2	no	—
527	#95	—	2	2	no	—
528	C₂⁴	—	2	2	no	—
529	C₂⁴	—	2	2	no	—
530	C₂⁴	—	2	2	no	—
531	C₂⁴	—	2	2	no	—
532	C₂⁴	—	2	2	no	—
533	C₂⁴	—	2	1	no	—
534	C₂⁴	—	4	1	no	—
535	C₂⁴	—	4	1	no	—
536	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
537	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
538	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
539	#41	—	2	8	no	—
540	#41	—	2	8	no	—
541	#41	—	4	4	no	—
542	#41	—	4	4	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×Q₈	C₂×D₄×C₄₃	1	2	yes	—
549	C₂×D₄	—	2	4	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	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	—	4	2	no	—
558	C₂×D₄	—	4	2	no	—
559	C₂×D₄	—	4	2	no	—
560	C₂×D₄	—	4	2	no	—
561	C₂×D₄	—	4	2	no	—
562	C₂×D₄	—	4	2	no	—
563	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
564	C₂²×C₄	—	2	2	no	—
565	C₂²×C₄	—	2	2	no	—
566	C₂²×C₄	—	2	2	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	2	no	—
571	C₂²×C₄	—	2	2	no	—
572	C₂²×C₄	—	2	4	no	—
573	C₂²×C₄	—	2	2	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	1	no	—
579	C₂²×C₄	—	2	1	no	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	2	1	no	—
586	C₂²×C₄	—	2	1	no	—
587	C₂²×C₄	—	2	1	no	—
588	C₂²×C₄	—	2	1	no	—
589	C₂²×C₄	—	2	2	no	—
590	C₂²×C₄	—	2	2	no	—
591	C₂²×C₄	—	4	4	no	—
592	C₂²×C₄	—	4	4	no	—
593	C₂²×C₄	—	4	2	no	—
594	C₂²×C₄	—	4	4	no	—
595	C₂²×C₄	—	4	2	no	—
596	C₂²×C₄	—	4	4	no	—
597	C₂²×C₄	—	4	2	no	—
598	C₂²×C₄	—	4	2	no	—
599	C₂²×C₄	—	4	2	no	—
600	C₂²×C₄	—	4	2	no	—
601	C₂²×C₄	—	4	2	no	—
602	C₂²×C₄	—	4	2	no	—
603	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
604	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
605	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
606	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
607	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
608	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
609	C₂²×C₄	#41×C₄₃	1	2	yes	—
610	C₂²×C₄	#41×C₄₃	1	2	yes	—
611	C₂²×C₄	#41×C₄₃	1	2	yes	—
612	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
613	M₁₆	—	2	8	no	—
614	M₁₆	—	4	4	no	—
615	C₂×C₈	—	2	2	no	—
616	C₂×C₈	—	2	2	no	—
617	C₂×C₈	—	2	2	no	—
618	C₂×C₈	—	2	2	no	—
619	C₂×C₈	—	2	2	no	—
620	C₂×C₈	C₂×D₄×C₄₃	1	4	yes	—
621	C₄⋊C₄	—	2	4	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	2	1	no	—
625	C₄⋊C₄	—	2	2	no	—
626	C₄⋊C₄	—	2	2	no	—
627	C₄⋊C₄	—	2	2	no	—
628	C₄⋊C₄	—	2	2	no	—
629	C₄⋊C₄	—	4	2	no	—
630	C₄⋊C₄	—	4	2	no	—
631	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
632	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
633	C₂²⋊C₄	—	2	4	no	—
634	C₂²⋊C₄	—	2	4	no	—
635	C₂²⋊C₄	—	2	4	no	—
636	C₂²⋊C₄	—	2	4	no	—
637	C₂²⋊C₄	—	2	4	no	—
638	C₂²⋊C₄	—	4	4	no	—
639	C₂²⋊C₄	—	4	4	no	—
640	C₄²	—	2	4	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	8	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	2	1	no	—
653	C₂³	—	2	1	no	—
654	C₂³	—	2	1	no	—
655	C₂³	—	2	1	no	—
656	C₂³	—	2	1	no	—
657	C₂³	—	2	1	no	—
658	C₂³	—	2	2	no	—
659	C₂³	—	4	4	no	—
660	C₂³	—	4	4	no	—
661	C₂³	—	4	4	no	—
662	C₂³	—	4	4	no	—
663	C₂³	—	4	4	no	—
664	C₂³	—	4	4	no	—
665	C₂³	—	4	1	no	—
666	C₂³	—	4	1	no	—
667	C₂³	—	4	1	no	—
668	C₂³	—	4	1	no	—
669	C₂³	—	4	1	no	—
670	C₂³	—	4	1	no	—
671	C₂³	#120×C₄₃	1	2	yes	—
672	C₂³	#121×C₄₃	1	2	yes	—
673	C₂³	#123×C₄₃	1	2	yes	—
674	C₂³	AGL(1,ℤ/8)×C₄₃	1	2	yes	—
675	C₂³	#137×C₄₃	1	2	yes	—
676	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
677	Q₈	—	2	2	no	—
678	Q₈	—	2	2	no	—
679	Q₈	—	4	1	no	—
680	Q₈	—	4	1	no	—
681	D₄	—	2	2	no	—
682	D₄	—	2	2	no	—
683	D₄	—	4	8	no	—
684	D₄	—	4	8	no	—
685	D₄	—	4	8	no	—
686	D₄	—	4	1	no	—
687	D₄	—	4	1	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	4	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	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	4	no	—
713	C₂×C₄	—	4	4	no	—
714	C₂×C₄	—	4	8	no	—
715	C₂×C₄	—	4	2	no	—
716	C₂×C₄	—	4	2	no	—
717	C₂×C₄	—	4	2	no	—
718	C₂×C₄	—	4	2	no	—
719	C₂×C₄	—	4	2	no	—
720	C₂×C₄	—	4	2	no	—
721	C₂×C₄	—	8	4	no	—
722	C₂×C₄	—	8	4	no	—
723	C₂×C₄	#120×C₄₃	1	2	yes	—
724	C₂×C₄	#121×C₄₃	1	4	yes	—
725	C₂×C₄	#121×C₄₃	1	4	yes	—
726	C₂×C₄	#121×C₄₃	1	2	yes	—
727	C₂×C₄	#123×C₄₃	1	4	yes	—
728	C₂×C₄	#123×C₄₃	1	2	yes	—
729	C₂×C₄	#124×C₄₃	1	4	yes	—
730	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
731	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
732	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
733	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
734	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
735	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
736	C₈	—	2	4	no	—
737	C₈	—	4	2	no	—
738	C₂²	—	2	2	no	—
739	C₂²	—	2	2	no	—
740	C₂²	—	2	2	no	—
741	C₂²	—	2	2	no	—
742	C₂²	—	2	2	no	—
743	C₂²	—	2	2	no	—
744	C₂²	—	2	2	no	—
745	C₂²	—	2	2	no	—
746	C₂²	—	2	2	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	2	2	no	—
749	C₂²	—	2	2	no	—
750	C₂²	—	4	16	no	—
751	C₂²	—	4	1	no	—
752	C₂²	—	4	1	no	—
753	C₂²	—	4	1	no	—
754	C₂²	—	4	1	no	—
755	C₂²	—	4	1	no	—
756	C₂²	—	4	1	no	—
757	C₂²	—	4	1	no	—
758	C₂²	—	4	1	no	—
759	C₂²	—	4	2	no	—
760	C₂²	—	4	2	no	—
761	C₂²	—	4	2	no	—
762	C₂²	—	8	1	no	—
763	C₂²	—	8	1	no	—
764	C₂²	—	8	1	no	—
765	C₂²	—	8	1	no	—
766	C₂²	C₄₃×#394	1	4	yes	—
767	C₂²	C₂×#120×C₄₃	1	1	yes	characteristic
768	C₂²	C₂×#121×C₄₃	1	1	yes	characteristic
769	C₂²	C₂×#123×C₄₃	1	1	yes	characteristic
770	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	1	yes	characteristic
771	C₂²	C₂×#137×C₄₃	1	1	yes	characteristic
772	C₂²	C₄₃×#575	1	1	yes	characteristic
773	C₂²	C₄₃×#575	1	1	yes	characteristic
774	C₄	—	4	1	no	—
775	C₄	—	4	1	no	—
776	C₄	—	4	2	no	—
777	C₄	—	4	2	no	—
778	C₄	—	4	2	no	—
779	C₄	—	8	2	no	—
780	C₄	—	8	2	no	—
781	C₄	C₄₃×#394	1	4	yes	—
782	C₄	C₂×#121×C₄₃	1	1	yes	characteristic
783	C₄	C₂×#121×C₄₃	1	1	yes	characteristic
784	C₄	C₂×#123×C₄₃	1	1	yes	characteristic
785	C₄	C₂×#124×C₄₃	1	1	yes	characteristic
786	C₂	—	2	4	no	—
787	C₂	—	4	2	no	—
788	C₂	—	4	2	no	—
789	C₂	—	8	2	no	—
790	C₂	C₂×C₄₃×#394	1	1	yes	characteristic
791	C₂	C₄₃×#3006	1	1	yes	characteristic
792	C₂	C₄₃×#3007	1	1	yes	characteristic
793	C₂	C₄₃×#3055	1	1	yes	characteristic
794	C₂	C₄₃×#3056	1	1	yes	characteristic
795	C₂	C₄₃×#3092	1	1	yes	characteristic
796	C₂	C₄₃×#3093	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₂×C₄₃×#525	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₂⁴×C₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₄₃×#428	C₂	semidirect
3. C₂×C₄₃×#417	C₂	semidirect
4. C₂×C₄₃×#417	C₂	semidirect
5. C₂×C₄₃×#407	C₂	semidirect
6. C₂×C₄₃×#380	C₂	semidirect
7. C₄₃×#2036	C₂	semidirect
8. C₄₃×#2035	C₂	semidirect
9. C₄₃×#2034	C₂	semidirect
10. C₄₃×#2033	C₂	semidirect
11. C₄₃×#1736	C₂	semidirect
31. C₂×#107×C₄₃	C₂²	semidirect
32. C₂×#106×C₄₃	C₂²	semidirect
35. C₂×#103×C₄₃	C₂²	semidirect
36. C₂×#103×C₄₃	C₂²	semidirect
37. C₂×#102×C₄₃	C₂²	semidirect
38. C₂×#102×C₄₃	C₂²	semidirect
47. C₄₃×#340	C₂²	semidirect
48. C₄₃×#340	C₂²	semidirect
81. C₂×M₁₆×C₄₃	D₄	semidirect
339. #23482	C₄₃	direct (N × H)
389. C₂×#428	C₂×C₄₃	semidirect
390. C₂×#417	C₂×C₄₃	semidirect
391. C₂×#417	C₂×C₄₃	semidirect
392. C₂×#407	C₂×C₄₃	semidirect
393. C₂×#380	C₂×C₄₃	semidirect
394. #2036	C₂×C₄₃	semidirect
395. #2035	C₂×C₄₃	semidirect
396. #2034	C₂×C₄₃	semidirect
397. #2033	C₂×C₄₃	semidirect
398. #1736	C₂×C₄₃	semidirect
429. C₂×#107	C₂²×C₄₃	semidirect
430. C₂×#106	C₂²×C₄₃	semidirect
433. C₂×#103	C₂²×C₄₃	semidirect
434. C₂×#103	C₂²×C₄₃	semidirect
435. C₂×#102	C₂²×C₄₃	semidirect
436. C₂×#102	C₂²×C₄₃	semidirect
445. #340	C₂²×C₄₃	semidirect
446. #340	C₂²×C₄₃	semidirect
447. C₄₃	#23482	direct (N × H)
480. C₂×M₁₆	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×#525	2
C₂×C₄₃×#428	2
C₂×C₄₃×#417	2
C₂×C₄₃×#407	2
C₂×C₄₃×#380	2
C₄₃×#2036	2
C₄₃×#2035	2
C₄₃×#2034	2
C₄₃×#2033	2
C₄₃×#1736	2
#23482	43

Subgroups — C43×#23482 #24943499

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#23482 #24943499