Subgroups — C₄₃×#60285 #24980302

Order 11008.

1762 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×#3444	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#2995	C₂	1	4	yes	maximal, complemented
3	C₄₃×#2994	C₂	1	4	yes	maximal, complemented
4	C₄₃×#2985	C₂	1	2	yes	maximal, complemented
5	C₄₃×#2981	C₂	1	2	yes	maximal, complemented
6	C₄₃×#2976	C₂	1	4	yes	maximal, complemented
7	C₄₃×#2971	C₂	1	2	yes	maximal, complemented
8	C₄₃×#2970	C₂	1	4	yes	maximal, complemented
9	C₄₃×#2970	C₂	1	2	yes	maximal, complemented
10	C₄₃×#2923	C₂	1	4	yes	maximal, complemented
11	C₄₃×#2920	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄₃×#432	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₃×#533	C₄	1	1	yes	characteristic
14	C₄₃×#533	C₄	1	1	yes	characteristic
15	C₄₃×#533	C₂²	1	1	yes	characteristic
16	C₄₃×#532	C₄	1	1	yes	characteristic
17	C₄₃×#532	C₄	1	1	yes	characteristic
18	C₄₃×#532	C₂²	1	1	yes	characteristic
19	C₄₃×#529	C₄	1	2	yes	—
20	C₄₃×#529	C₄	1	2	yes	—
21	C₄₃×#529	C₄	1	2	yes	—
22	C₄₃×#529	C₄	1	2	yes	—
23	C₄₃×#529	C₂²	1	2	yes	—
24	C₄₃×#529	C₂²	1	2	yes	—
25	C₄₃×#525	C₄	1	2	yes	—
26	C₄₃×#525	C₄	1	2	yes	—
27	C₄₃×#525	C₂²	1	2	yes	—
28	C₄×#41×C₄₃	C₂²	1	2	yes	—
29	C₄×#41×C₄₃	C₂²	1	2	yes	—
30	C₄×#41×C₄₃	C₂²	1	2	yes	—
31	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
32	C₄₃×#446	C₂²	1	4	yes	complemented
33	C₄₃×#446	C₂²	1	8	yes	complemented
34	C₈×Q₈×C₄₃	C₂²	1	4	yes	complemented
35	C₄₃×#436	C₂²	1	8	yes	—
36	C₄₃×#436	C₂²	1	4	yes	complemented
37	C₄₃×#435	C₂²	1	8	yes	—
38	C₄₃×#435	C₂²	1	8	yes	—
39	C₄₃×#435	C₂²	1	8	yes	complemented
40	C₈×D₄×C₄₃	C₂²	1	8	yes	—
41	C₈×D₄×C₄₃	C₂²	1	4	yes	complemented
42	C₄₃×#433	C₂²	1	8	yes	—
43	C₄₃×#433	C₂²	1	8	yes	complemented
44	C₄₃×#432	C₂²	1	2	yes	—
45	C₄₃×#432	C₂²	1	2	yes	—
46	C₄₃×#432	C₂²	1	2	yes	—
47	C₄₃×#432	C₂²	1	2	yes	—
48	C₄₃×#432	C₂²	1	2	yes	—
49	C₄₃×#432	C₂²	1	2	yes	—
50	C₄₃×#432	C₂²	1	4	yes	complemented
51	C₄₃×#432	C₂²	1	4	yes	complemented
52	C₄₃×#431	C₂²	1	2	yes	—
53	C₄₃×#431	C₂²	1	2	yes	—
54	C₄₃×#424	C₂²	1	8	yes	complemented
55	C₄₃×#423	C₂²	1	2	yes	—
56	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
57	C₄₃×#408	C₂²	1	8	yes	—
58	C₄₃×#407	C₂²	1	2	yes	—
59	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
60	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
61	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
62	C₄×M₁₆×C₄₃	C₂²	1	4	yes	complemented
63	C₂×#97×C₄₃	C₂²	1	2	yes	—
64	C₂×#97×C₄₃	C₂²	1	4	yes	complemented
65	C₂×#41×C₄₃	C₂×C₄	1	2	yes	—
66	C₂×#41×C₄₃	C₂×C₄	1	2	yes	—
67	C₂×#41×C₄₃	C₂³	1	2	yes	—
68	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
69	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
70	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
71	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
72	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
73	C₂×M₁₆×C₄₃	C₂³	1	8	yes	—
74	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
75	C₂²×C₈×C₄₃	C₂³	1	8	yes	—
76	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
77	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
78	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
79	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
80	#126×C₄₃	C₂×C₄	1	4	yes	—
81	#126×C₄₃	C₂×C₄	1	4	yes	—
82	#125×C₄₃	C₂×C₄	1	2	yes	—
83	#125×C₄₃	C₂×C₄	1	2	yes	—
84	#125×C₄₃	C₂×C₄	1	2	yes	—
85	#124×C₄₃	C₂×C₄	1	2	yes	—
86	#124×C₄₃	C₂×C₄	1	2	yes	—
87	#124×C₄₃	C₂×C₄	1	2	yes	—
88	#123×C₄₃	C₂×C₄	1	4	yes	—
89	#123×C₄₃	C₂×C₄	1	4	yes	—
90	#123×C₄₃	C₂×C₄	1	4	yes	—
91	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
92	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
93	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
94	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
95	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
96	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
97	#121×C₄₃	C₂×C₄	1	2	yes	—
98	#121×C₄₃	C₂×C₄	1	2	yes	—
99	#121×C₄₃	C₂×C₄	1	2	yes	—
100	#121×C₄₃	C₂×C₄	1	2	yes	—
101	#121×C₄₃	C₂×C₄	1	2	yes	—
102	#121×C₄₃	C₂×C₄	1	2	yes	—
103	#120×C₄₃	C₂×C₄	1	4	yes	—
104	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
105	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
106	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
107	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
108	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
109	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
110	C₄×D₄×C₄₃	C₂×C₄	1	4	yes	—
111	C₄×D₄×C₄₃	C₂×C₄	1	4	yes	—
112	C₄×D₄×C₄₃	C₂×C₄	1	4	yes	—
113	C₄×D₄×C₄₃	C₂×C₄	1	4	yes	—
114	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
115	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
116	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
117	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
118	C₄×D₄×C₄₃	C₂³	1	4	yes	—
119	C₄×D₄×C₄₃	C₂³	1	4	yes	—
120	C₄×D₄×C₄₃	C₂³	1	2	yes	—
121	C₄×D₄×C₄₃	C₂³	1	2	yes	—
122	#117×C₄₃	C₂×C₄	1	2	yes	—
123	#117×C₄₃	C₂×C₄	1	2	yes	—
124	#117×C₄₃	C₂×C₄	1	4	yes	—
125	#117×C₄₃	C₂×C₄	1	4	yes	—
126	#117×C₄₃	C₂³	1	2	yes	—
127	#117×C₄₃	C₂³	1	4	yes	—
128	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
129	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
130	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
131	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
132	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
133	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
134	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
136	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
137	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
138	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
139	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
140	C₂×C₄²×C₄₃	C₂³	1	4	yes	—
141	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
142	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
143	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
144	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
145	C₄⋊C₈×C₄₃	C₂³	1	8	yes	—
146	C₄⋊C₈×C₄₃	C₂³	1	8	yes	—
147	C₂²⋊C₈×C₄₃	C₂³	1	4	yes	—
148	C₂²⋊C₈×C₄₃	C₂³	1	4	yes	—
149	C₂²⋊C₈×C₄₃	C₂³	1	4	yes	—
150	C₂²⋊C₈×C₄₃	C₂³	1	4	yes	—
151	C₂²⋊C₈×C₄₃	C₂³	1	8	yes	—
152	C₂²⋊C₈×C₄₃	C₂³	1	8	yes	—
153	#97×C₄₃	C₂³	1	4	yes	—
154	#97×C₄₃	C₂³	1	4	yes	—
155	#97×C₄₃	C₂³	1	2	yes	—
156	#97×C₄₃	C₂³	1	8	yes	—
157	#97×C₄₃	C₂³	1	2	yes	—
158	C₄×C₈×C₄₃	C₂³	1	2	yes	—
159	C₄×C₈×C₄₃	C₂³	1	2	yes	—
160	C₄×C₈×C₄₃	C₂³	1	8	yes	—
161	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
162	#41×C₄₃	—	4	4	no	—
163	#41×C₄₃	—	4	4	no	—
164	#41×C₄₃	—	4	4	no	—
165	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
166	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
167	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
168	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
169	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
170	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
171	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
172	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
173	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
174	C₂²×C₄×C₄₃	—	4	2	no	—
175	C₂²×C₄×C₄₃	—	4	2	no	—
176	C₂²×C₄×C₄₃	—	4	2	no	—
177	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
178	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
179	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
180	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
181	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
182	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
183	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
184	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
185	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
186	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
187	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
188	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
189	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
190	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
191	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
192	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
193	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
194	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
195	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
196	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
197	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
198	M₁₆×C₄₃	—	4	2	no	—
199	M₁₆×C₄₃	—	4	8	no	—
200	M₁₆×C₄₃	—	4	2	no	—
201	C₂×C₈×C₄₃	—	4	4	no	—
202	C₂×C₈×C₄₃	—	4	8	no	—
203	C₂×C₈×C₄₃	C₂⁴	1	4	yes	—
204	C₂×C₈×C₄₃	C₂⁴	1	4	yes	—
205	C₂×C₈×C₄₃	C₂⁴	1	8	yes	—
206	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
207	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
208	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
209	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
210	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
211	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
212	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
213	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
214	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
215	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
216	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
217	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
218	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
219	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
220	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
221	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
222	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
223	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
224	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
225	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
226	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
227	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
228	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
229	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
230	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
231	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
232	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
233	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
234	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
235	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
236	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
237	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
238	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
239	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
240	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
241	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
242	C₄²×C₄₃	C₂⁴	1	4	yes	—
243	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
244	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
245	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
246	C₂³×C₄₃	—	2	2	no	—
247	C₂³×C₄₃	—	4	1	no	—
248	C₂³×C₄₃	—	4	1	no	—
249	C₂³×C₄₃	C₂³×C₄	1	4	yes	—
250	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
251	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
252	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
253	Q₈×C₄₃	—	2	4	no	—
254	Q₈×C₄₃	—	4	2	no	—
255	Q₈×C₄₃	—	4	2	no	—
256	D₄×C₄₃	—	2	8	no	—
257	D₄×C₄₃	—	2	4	no	—
258	D₄×C₄₃	—	4	2	no	—
259	D₄×C₄₃	—	4	4	no	—
260	D₄×C₄₃	—	4	2	no	—
261	D₄×C₄₃	—	4	4	no	—
262	C₂×C₄×C₄₃	—	2	2	no	—
263	C₂×C₄×C₄₃	—	2	2	no	—
264	C₂×C₄×C₄₃	—	2	2	no	—
265	C₂×C₄×C₄₃	—	2	2	no	—
266	C₂×C₄×C₄₃	—	2	2	no	—
267	C₂×C₄×C₄₃	—	2	2	no	—
268	C₂×C₄×C₄₃	—	2	8	no	—
269	C₂×C₄×C₄₃	—	2	2	no	—
270	C₂×C₄×C₄₃	—	2	2	no	—
271	C₂×C₄×C₄₃	—	4	1	no	—
272	C₂×C₄×C₄₃	—	4	1	no	—
273	C₂×C₄×C₄₃	—	4	1	no	—
274	C₂×C₄×C₄₃	—	4	1	no	—
275	C₂×C₄×C₄₃	—	4	1	no	—
276	C₂×C₄×C₄₃	—	4	1	no	—
277	C₂×C₄×C₄₃	—	4	1	no	—
278	C₂×C₄×C₄₃	—	4	1	no	—
279	C₂×C₄×C₄₃	—	4	1	no	—
280	C₂×C₄×C₄₃	—	4	1	no	—
281	C₂×C₄×C₄₃	—	4	4	no	—
282	C₂×C₄×C₄₃	—	4	4	no	—
283	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
284	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
285	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
286	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
287	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
288	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
289	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
290	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
291	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
292	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
293	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
294	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
295	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
296	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
297	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
298	C₈×C₄₃	—	2	8	no	—
299	C₈×C₄₃	—	2	4	no	—
300	C₈×C₄₃	—	2	4	no	—
301	#60285	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
302	C₂²×C₄₃	—	2	1	no	—
303	C₂²×C₄₃	—	2	1	no	—
304	C₂²×C₄₃	—	2	1	no	—
305	C₂²×C₄₃	—	2	1	no	—
306	C₂²×C₄₃	—	2	4	no	—
307	C₂²×C₄₃	—	2	1	no	—
308	C₂²×C₄₃	—	2	1	no	—
309	C₂²×C₄₃	—	2	1	no	—
310	C₂²×C₄₃	—	2	1	no	—
311	C₂²×C₄₃	—	2	4	no	—
312	C₂²×C₄₃	—	2	4	no	—
313	C₂²×C₄₃	—	4	4	no	—
314	C₂²×C₄₃	#568	1	2	yes	—
315	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
316	C₄×C₄₃	—	2	1	no	—
317	C₄×C₄₃	—	2	1	no	—
318	C₄×C₄₃	—	2	1	no	—
319	C₄×C₄₃	—	2	4	no	—
320	C₄×C₄₃	—	2	1	no	—
321	C₄×C₄₃	—	2	1	no	—
322	C₄×C₄₃	—	2	1	no	—
323	C₄×C₄₃	—	2	1	no	—
324	C₄×C₄₃	—	2	1	no	—
325	C₄×C₄₃	—	2	1	no	—
326	C₄×C₄₃	—	2	1	no	—
327	C₄×C₄₃	—	2	4	no	—
328	C₄×C₄₃	—	2	4	no	—
329	C₄×C₄₃	#568	1	2	yes	—
330	C₄×C₄₃	#585	1	2	yes	—
331	#3444	C₂×C₄₃	1	1	yes	characteristic
332	#2995	C₂×C₄₃	1	4	yes	complemented
333	#2994	C₂×C₄₃	1	4	yes	complemented
334	#2985	C₂×C₄₃	1	2	yes	complemented
335	#2981	C₂×C₄₃	1	2	yes	complemented
336	#2976	C₂×C₄₃	1	4	yes	complemented
337	#2971	C₂×C₄₃	1	2	yes	complemented
338	#2970	C₂×C₄₃	1	4	yes	complemented
339	#2970	C₂×C₄₃	1	2	yes	complemented
340	#2923	C₂×C₄₃	1	4	yes	complemented
341	#2920	C₂×C₄₃	1	1	yes	characteristic, complemented
342	C₂×#432	C₂×C₄₃	1	1	yes	characteristic, complemented
343	C₂×C₄₃	—	2	2	no	—
344	C₂×C₄₃	—	4	4	no	—
345	C₂×C₄₃	—	4	1	no	—
346	C₂×C₄₃	—	4	1	no	—
347	C₂×C₄₃	#3428	1	1	yes	characteristic
348	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
349	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
350	#533	C₄×C₄₃	1	1	yes	characteristic
351	#533	C₄×C₄₃	1	1	yes	characteristic
352	#533	C₂²×C₄₃	1	1	yes	characteristic
353	#532	C₄×C₄₃	1	1	yes	characteristic
354	#532	C₄×C₄₃	1	1	yes	characteristic
355	#532	C₂²×C₄₃	1	1	yes	characteristic
356	#529	C₄×C₄₃	1	2	yes	—
357	#529	C₄×C₄₃	1	2	yes	—
358	#529	C₄×C₄₃	1	2	yes	—
359	#529	C₄×C₄₃	1	2	yes	—
360	#529	C₂²×C₄₃	1	2	yes	—
361	#529	C₂²×C₄₃	1	2	yes	—
362	#525	C₄×C₄₃	1	2	yes	—
363	#525	C₄×C₄₃	1	2	yes	—
364	#525	C₂²×C₄₃	1	2	yes	—
365	C₄×#41	C₂²×C₄₃	1	2	yes	—
366	C₄×#41	C₂²×C₄₃	1	2	yes	—
367	C₄×#41	C₂²×C₄₃	1	2	yes	—
368	C₂²×C₄²	C₂²×C₄₃	1	1	yes	characteristic
369	#446	C₂²×C₄₃	1	4	yes	complemented
370	#446	C₂²×C₄₃	1	8	yes	complemented
371	C₈×Q₈	C₂²×C₄₃	1	4	yes	complemented
372	#436	C₂²×C₄₃	1	8	yes	—
373	#436	C₂²×C₄₃	1	4	yes	complemented
374	#435	C₂²×C₄₃	1	8	yes	—
375	#435	C₂²×C₄₃	1	8	yes	—
376	#435	C₂²×C₄₃	1	8	yes	complemented
377	C₈×D₄	C₂²×C₄₃	1	8	yes	—
378	C₈×D₄	C₂²×C₄₃	1	4	yes	complemented
379	#433	C₂²×C₄₃	1	8	yes	—
380	#433	C₂²×C₄₃	1	8	yes	complemented
381	#432	C₂²×C₄₃	1	2	yes	—
382	#432	C₂²×C₄₃	1	2	yes	—
383	#432	C₂²×C₄₃	1	2	yes	—
384	#432	C₂²×C₄₃	1	2	yes	—
385	#432	C₂²×C₄₃	1	2	yes	—
386	#432	C₂²×C₄₃	1	2	yes	—
387	#432	C₂²×C₄₃	1	4	yes	complemented
388	#432	C₂²×C₄₃	1	4	yes	complemented
389	#431	C₂²×C₄₃	1	2	yes	—
390	#431	C₂²×C₄₃	1	2	yes	—
391	#424	C₂²×C₄₃	1	8	yes	complemented
392	#423	C₂²×C₄₃	1	2	yes	—
393	C₂×C₄⋊C₈	C₂²×C₄₃	1	2	yes	—
394	#408	C₂²×C₄₃	1	8	yes	—
395	#407	C₂²×C₄₃	1	2	yes	—
396	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
397	C₄×M₁₆	C₂²×C₄₃	1	1	yes	characteristic
398	C₄×M₁₆	C₂²×C₄₃	1	1	yes	characteristic
399	C₄×M₁₆	C₂²×C₄₃	1	4	yes	complemented
400	C₂×#97	C₂²×C₄₃	1	2	yes	—
401	C₂×#97	C₂²×C₄₃	1	4	yes	complemented
402	C₄₃	#60285	1	1	yes	characteristic, direct product factor, Sylow
403	C₂×#41	C₂×C₄×C₄₃	1	2	yes	—
404	C₂×#41	C₂×C₄×C₄₃	1	2	yes	—
405	C₂×#41	C₂³×C₄₃	1	2	yes	—
406	C₂³×C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
407	C₂³×C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
408	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
409	C₂×M₁₆	C₂³×C₄₃	1	2	yes	—
410	C₂×M₁₆	C₂³×C₄₃	1	2	yes	—
411	C₂×M₁₆	C₂³×C₄₃	1	8	yes	—
412	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
413	C₂²×C₈	C₂³×C₄₃	1	8	yes	—
414	C₄⋊Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
415	C₄⋊Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
416	C₄⋊Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
417	#127	C₂×C₄×C₄₃	1	1	yes	characteristic
418	#126	C₂×C₄×C₄₃	1	4	yes	—
419	#126	C₂×C₄×C₄₃	1	4	yes	—
420	#125	C₂×C₄×C₄₃	1	2	yes	—
421	#125	C₂×C₄×C₄₃	1	2	yes	—
422	#125	C₂×C₄×C₄₃	1	2	yes	—
423	#124	C₂×C₄×C₄₃	1	2	yes	—
424	#124	C₂×C₄×C₄₃	1	2	yes	—
425	#124	C₂×C₄×C₄₃	1	2	yes	—
426	#123	C₂×C₄×C₄₃	1	4	yes	—
427	#123	C₂×C₄×C₄₃	1	4	yes	—
428	#123	C₂×C₄×C₄₃	1	4	yes	—
429	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
430	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
431	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
432	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
433	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
434	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
435	#121	C₂×C₄×C₄₃	1	2	yes	—
436	#121	C₂×C₄×C₄₃	1	2	yes	—
437	#121	C₂×C₄×C₄₃	1	2	yes	—
438	#121	C₂×C₄×C₄₃	1	2	yes	—
439	#121	C₂×C₄×C₄₃	1	2	yes	—
440	#121	C₂×C₄×C₄₃	1	2	yes	—
441	#120	C₂×C₄×C₄₃	1	4	yes	—
442	C₄×Q₈	C₂×C₄×C₄₃	1	2	yes	—
443	C₄×Q₈	C₂×C₄×C₄₃	1	2	yes	—
444	C₄×Q₈	C₂×C₄×C₄₃	1	2	yes	—
445	C₄×Q₈	C₂×C₄×C₄₃	1	2	yes	—
446	C₄×Q₈	C₂³×C₄₃	1	2	yes	—
447	C₄×Q₈	C₂³×C₄₃	1	2	yes	—
448	C₄×D₄	C₂×C₄×C₄₃	1	4	yes	—
449	C₄×D₄	C₂×C₄×C₄₃	1	4	yes	—
450	C₄×D₄	C₂×C₄×C₄₃	1	4	yes	—
451	C₄×D₄	C₂×C₄×C₄₃	1	4	yes	—
452	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
453	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
454	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
455	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
456	C₄×D₄	C₂³×C₄₃	1	4	yes	—
457	C₄×D₄	C₂³×C₄₃	1	4	yes	—
458	C₄×D₄	C₂³×C₄₃	1	2	yes	—
459	C₄×D₄	C₂³×C₄₃	1	2	yes	—
460	#117	C₂×C₄×C₄₃	1	2	yes	—
461	#117	C₂×C₄×C₄₃	1	2	yes	—
462	#117	C₂×C₄×C₄₃	1	4	yes	—
463	#117	C₂×C₄×C₄₃	1	4	yes	—
464	#117	C₂³×C₄₃	1	2	yes	—
465	#117	C₂³×C₄₃	1	4	yes	—
466	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
467	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
468	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
469	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
470	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
471	C₂×C₄²	C₂×C₄×C₄₃	1	1	yes	characteristic
472	C₂×C₄²	C₂³×C₄₃	1	4	yes	—
473	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
474	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
475	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
476	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
477	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
478	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
479	C₄⋊C₈	C₂³×C₄₃	1	4	yes	—
480	C₄⋊C₈	C₂³×C₄₃	1	4	yes	—
481	C₄⋊C₈	C₂³×C₄₃	1	4	yes	—
482	C₄⋊C₈	C₂³×C₄₃	1	4	yes	—
483	C₄⋊C₈	C₂³×C₄₃	1	8	yes	—
484	C₄⋊C₈	C₂³×C₄₃	1	8	yes	—
485	C₂²⋊C₈	C₂³×C₄₃	1	4	yes	—
486	C₂²⋊C₈	C₂³×C₄₃	1	4	yes	—
487	C₂²⋊C₈	C₂³×C₄₃	1	4	yes	—
488	C₂²⋊C₈	C₂³×C₄₃	1	4	yes	—
489	C₂²⋊C₈	C₂³×C₄₃	1	8	yes	—
490	C₂²⋊C₈	C₂³×C₄₃	1	8	yes	—
491	#97	C₂³×C₄₃	1	4	yes	—
492	#97	C₂³×C₄₃	1	4	yes	—
493	#97	C₂³×C₄₃	1	2	yes	—
494	#97	C₂³×C₄₃	1	8	yes	—
495	#97	C₂³×C₄₃	1	2	yes	—
496	C₄×C₈	C₂³×C₄₃	1	2	yes	—
497	C₄×C₈	C₂³×C₄₃	1	2	yes	—
498	C₄×C₈	C₂³×C₄₃	1	8	yes	—
499	C₂⁴	C₂²×C₄×C₄₃	1	1	yes	characteristic
500	#41	—	4	4	no	—
501	#41	—	4	4	no	—
502	#41	—	4	4	no	—
503	C₂×Q₈	C₂²×C₄×C₄₃	1	2	yes	—
504	C₂×Q₈	C₂²×C₄×C₄₃	1	2	yes	—
505	C₂×Q₈	C₂²×C₄×C₄₃	1	2	yes	—
506	C₂×D₄	C₂²×C₄×C₄₃	1	4	yes	—
507	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
508	C₂×D₄	C₂²×C₄×C₄₃	1	4	yes	—
509	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
510	C₂×D₄	C₂²×C₄×C₄₃	1	4	yes	—
511	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
512	C₂²×C₄	—	4	2	no	—
513	C₂²×C₄	—	4	2	no	—
514	C₂²×C₄	—	4	2	no	—
515	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
516	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
517	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
518	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
519	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
520	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
521	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
522	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
523	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
524	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
525	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
526	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
527	C₂²×C₄	C₂²×C₄×C₄₃	1	4	yes	—
528	C₂²×C₄	C₂²×C₄×C₄₃	1	4	yes	—
529	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
530	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
531	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
532	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴×C₄₃	1	4	yes	—
536	M₁₆	—	4	2	no	—
537	M₁₆	—	4	8	no	—
538	M₁₆	—	4	2	no	—
539	C₂×C₈	—	4	4	no	—
540	C₂×C₈	—	4	8	no	—
541	C₂×C₈	C₂⁴×C₄₃	1	4	yes	—
542	C₂×C₈	C₂⁴×C₄₃	1	4	yes	—
543	C₂×C₈	C₂⁴×C₄₃	1	8	yes	—
544	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
545	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
546	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
547	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
548	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
549	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
550	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
551	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
552	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
553	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
554	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
555	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
556	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
557	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
558	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
559	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
560	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
561	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
562	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
563	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
564	C₂²⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
565	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
566	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
567	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
568	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
569	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
570	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
571	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
572	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
573	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
574	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
575	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
576	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
577	C₄²	C₂²×C₄×C₄₃	1	4	yes	—
578	C₄²	C₂²×C₄×C₄₃	1	4	yes	—
579	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
580	C₄²	C₂⁴×C₄₃	1	4	yes	—
581	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
582	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
583	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
584	C₂³	—	2	2	no	—
585	C₂³	—	4	1	no	—
586	C₂³	—	4	1	no	—
587	C₂³	C₂³×C₄×C₄₃	1	4	yes	—
588	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
589	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
590	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
591	Q₈	—	2	4	no	—
592	Q₈	—	4	2	no	—
593	Q₈	—	4	2	no	—
594	D₄	—	2	8	no	—
595	D₄	—	2	4	no	—
596	D₄	—	4	2	no	—
597	D₄	—	4	4	no	—
598	D₄	—	4	2	no	—
599	D₄	—	4	4	no	—
600	C₂×C₄	—	2	2	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	2	no	—
605	C₂×C₄	—	2	2	no	—
606	C₂×C₄	—	2	8	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	4	1	no	—
610	C₂×C₄	—	4	1	no	—
611	C₂×C₄	—	4	1	no	—
612	C₂×C₄	—	4	1	no	—
613	C₂×C₄	—	4	1	no	—
614	C₂×C₄	—	4	1	no	—
615	C₂×C₄	—	4	1	no	—
616	C₂×C₄	—	4	1	no	—
617	C₂×C₄	—	4	1	no	—
618	C₂×C₄	—	4	1	no	—
619	C₂×C₄	—	4	4	no	—
620	C₂×C₄	—	4	4	no	—
621	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
622	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
623	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
624	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
625	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
626	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
627	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
628	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
629	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
630	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
631	C₂×C₄	C₂³×C₄×C₄₃	1	4	yes	—
632	C₂×C₄	C₂³×C₄×C₄₃	1	4	yes	—
633	C₂×C₄	C₂³×C₄×C₄₃	1	4	yes	—
634	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
635	C₂×C₄	C₂⁵×C₄₃	1	1	yes	characteristic
636	C₈	—	2	8	no	—
637	C₈	—	2	4	no	—
638	C₈	—	2	4	no	—
639	C₂²	—	2	1	no	—
640	C₂²	—	2	1	no	—
641	C₂²	—	2	1	no	—
642	C₂²	—	2	1	no	—
643	C₂²	—	2	4	no	—
644	C₂²	—	2	1	no	—
645	C₂²	—	2	1	no	—
646	C₂²	—	2	1	no	—
647	C₂²	—	2	1	no	—
648	C₂²	—	2	4	no	—
649	C₂²	—	2	4	no	—
650	C₂²	—	4	4	no	—
651	C₂²	C₄₃×#568	1	2	yes	—
652	C₂²	C₂⁴×C₄×C₄₃	1	1	yes	characteristic
653	C₄	—	2	1	no	—
654	C₄	—	2	1	no	—
655	C₄	—	2	1	no	—
656	C₄	—	2	4	no	—
657	C₄	—	2	1	no	—
658	C₄	—	2	1	no	—
659	C₄	—	2	1	no	—
660	C₄	—	2	1	no	—
661	C₄	—	2	1	no	—
662	C₄	—	2	1	no	—
663	C₄	—	2	1	no	—
664	C₄	—	2	4	no	—
665	C₄	—	2	4	no	—
666	C₄	C₄₃×#568	1	2	yes	—
667	C₄	C₄₃×#585	1	2	yes	—
668	C₂	—	2	2	no	—
669	C₂	—	4	1	no	—
670	C₂	—	4	1	no	—
671	C₂	—	4	4	no	—
672	C₂	C₄₃×#3428	1	1	yes	characteristic
673	C₂	C₂×C₄₃×#568	1	1	yes	characteristic
674	C₂	C₂×C₄₃×#568	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₄₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₄₃
Frattini, cosocle	C₂×C₄	C₂⁵×C₄₃
socle	C₂²×C₄₃	C₂⁴×C₄
prime radical	C₄₃×#3444	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₃×#2995	C₂	semidirect
3. C₄₃×#2994	C₂	semidirect
4. C₄₃×#2985	C₂	semidirect
5. C₄₃×#2981	C₂	semidirect
6. C₄₃×#2976	C₂	semidirect
7. C₄₃×#2971	C₂	semidirect
8. C₄₃×#2970	C₂	semidirect
9. C₄₃×#2970	C₂	semidirect
10. C₄₃×#2923	C₂	semidirect
11. C₄₃×#2920	C₂	semidirect
12. C₂×C₄₃×#432	C₂	semidirect
32. C₄₃×#446	C₂²	semidirect
33. C₄₃×#446	C₂²	semidirect
34. C₈×Q₈×C₄₃	C₂²	semidirect
36. C₄₃×#436	C₂²	semidirect
39. C₄₃×#435	C₂²	semidirect
41. C₈×D₄×C₄₃	C₂²	semidirect
43. C₄₃×#433	C₂²	semidirect
50. C₄₃×#432	C₂²	semidirect
51. C₄₃×#432	C₂²	semidirect
54. C₄₃×#424	C₂²	semidirect
62. C₄×M₁₆×C₄₃	C₂²	semidirect
64. C₂×#97×C₄₃	C₂²	semidirect
301. #60285	C₄₃	direct (N × H)
332. #2995	C₂×C₄₃	semidirect
333. #2994	C₂×C₄₃	semidirect
334. #2985	C₂×C₄₃	semidirect
335. #2981	C₂×C₄₃	semidirect
336. #2976	C₂×C₄₃	semidirect
337. #2971	C₂×C₄₃	semidirect
338. #2970	C₂×C₄₃	semidirect
339. #2970	C₂×C₄₃	semidirect
340. #2923	C₂×C₄₃	semidirect
341. #2920	C₂×C₄₃	semidirect
342. C₂×#432	C₂×C₄₃	semidirect
369. #446	C₂²×C₄₃	semidirect
370. #446	C₂²×C₄₃	semidirect
371. C₈×Q₈	C₂²×C₄₃	semidirect
373. #436	C₂²×C₄₃	semidirect
376. #435	C₂²×C₄₃	semidirect
378. C₈×D₄	C₂²×C₄₃	semidirect
380. #433	C₂²×C₄₃	semidirect
387. #432	C₂²×C₄₃	semidirect
388. #432	C₂²×C₄₃	semidirect
391. #424	C₂²×C₄₃	semidirect
399. C₄×M₁₆	C₂²×C₄₃	semidirect
401. C₂×#97	C₂²×C₄₃	semidirect
402. C₄₃	#60285	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×#3444	2
C₄₃×#2995	2
C₄₃×#2994	2
C₄₃×#2985	2
C₄₃×#2981	2
C₄₃×#2976	2
C₄₃×#2971	2
C₄₃×#2970	2
C₄₃×#2923	2
C₄₃×#2920	2
C₂×C₄₃×#432	2
#60285	43

Subgroups — C43×#60285 #24980302

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#60285 #24980302