Subgroups — C₂×C₄₃×#1825 #24940714

Order 11008.

1574 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#117×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₂²⋊C₈×C₄₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄₃×#380	C₂	1	1	yes	maximal, characteristic
4	C₄₃×#1825	C₂	1	8	yes	maximal, direct product factor
5	C₂×C₄₃×#340	C₂	1	2	yes	maximal, complemented
6	C₂×C₄₃×#340	C₂	1	2	yes	maximal, complemented
7	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
8	C₂³×C₈×C₄₃	C₂²	1	2	yes	—
9	C₂×#117×C₄₃	—	2	4	no	—
10	C₂×#117×C₄₃	—	2	2	no	—
11	C₂×#117×C₄₃	C₄	1	8	yes	complemented
12	C₂×#117×C₄₃	C₂²	1	4	yes	—
13	C₂²×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
14	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
15	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
16	C₂²×C₂²⋊C₄×C₄₃	—	2	1	no	—
17	C₂²×C₂²⋊C₄×C₄₃	—	2	1	no	—
18	C₂²×C₄²×C₄₃	—	2	1	no	—
19	C₂×C₂²⋊C₈×C₄₃	—	2	4	no	—
20	C₂×C₂²⋊C₈×C₄₃	C₂²	1	4	yes	—
21	C₄₃×#380	—	2	2	no	—
22	C₄₃×#380	C₂²	1	4	yes	—
23	C₂×#95×C₄₃	—	2	1	no	—
24	C₄₃×#340	C₂²	1	8	yes	complemented
25	C₄₃×#340	C₂²	1	8	yes	complemented
26	C₂⁵×C₄₃	D₄	1	1	yes	characteristic
27	C₂³×C₄×C₄₃	—	2	8	no	—
28	C₂³×C₄×C₄₃	—	2	1	no	—
29	C₂³×C₄×C₄₃	—	2	1	no	—
30	C₂³×C₄×C₄₃	—	2	2	no	—
31	C₂³×C₄×C₄₃	C₂×C₄	1	4	yes	—
32	C₂³×C₄×C₄₃	D₄	1	2	yes	—
33	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
34	C₂³×C₄×C₄₃	D₄	1	4	yes	—
35	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
36	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
37	C₂²×C₈×C₄₃	—	2	4	no	—
38	C₂²×C₈×C₄₃	—	2	8	no	—
39	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
40	#117×C₄₃	—	2	16	no	—
41	#117×C₄₃	—	2	8	no	—
42	#117×C₄₃	C₂×C₄	1	16	yes	complemented
43	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
44	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
45	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
46	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
47	C₂×C₄⋊C₄×C₄₃	—	2	8	no	—
48	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
49	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	4	yes	—
50	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	4	yes	—
51	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
52	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
53	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
54	C₂×C₂²⋊C₄×C₄₃	—	2	8	no	—
55	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
56	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
57	C₂×C₂²⋊C₄×C₄₃	—	4	4	no	—
58	C₂×C₄²×C₄₃	—	2	8	no	—
59	C₂×C₄²×C₄₃	—	2	4	no	—
60	C₂²⋊C₈×C₄₃	—	2	8	no	—
61	#95×C₄₃	—	2	4	no	—
62	C₂⁴×C₄₃	—	2	4	no	—
63	C₂⁴×C₄₃	—	2	4	no	—
64	C₂⁴×C₄₃	—	2	2	no	—
65	C₂⁴×C₄₃	—	2	2	no	—
66	C₂⁴×C₄₃	C₂²⋊C₄	1	4	yes	—
67	C₂⁴×C₄₃	C₂×D₄	1	2	yes	—
68	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₄₃	—	2	16	no	—
70	C₂²×C₄×C₄₃	—	2	8	no	—
71	C₂²×C₄×C₄₃	—	2	16	no	—
72	C₂²×C₄×C₄₃	—	2	8	no	—
73	C₂²×C₄×C₄₃	—	2	4	no	—
74	C₂²×C₄×C₄₃	—	2	4	no	—
75	C₂²×C₄×C₄₃	—	2	4	no	—
76	C₂²×C₄×C₄₃	—	2	2	no	—
77	C₂²×C₄×C₄₃	—	2	2	no	—
78	C₂²×C₄×C₄₃	—	2	4	no	—
79	C₂²×C₄×C₄₃	—	4	4	no	—
80	C₂²×C₄×C₄₃	—	4	4	no	—
81	C₂²×C₄×C₄₃	—	4	4	no	—
82	C₂²×C₄×C₄₃	—	4	2	no	—
83	C₂²×C₄×C₄₃	—	4	4	no	—
84	C₂²×C₄×C₄₃	—	4	2	no	—
85	C₂²×C₄×C₄₃	C₂²⋊C₄	1	4	yes	—
86	C₂²×C₄×C₄₃	C₂²⋊C₄	1	8	yes	—
87	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
88	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
89	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
90	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₄₃	#41	1	8	yes	—
94	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
95	C₂×C₈×C₄₃	—	2	4	no	—
96	C₂×C₈×C₄₃	—	2	8	no	—
97	C₂×C₈×C₄₃	—	4	8	no	—
98	C₄⋊C₄×C₄₃	—	2	4	no	—
99	C₄⋊C₄×C₄₃	—	2	4	no	—
100	C₄⋊C₄×C₄₃	—	2	2	no	—
101	C₄⋊C₄×C₄₃	—	2	2	no	—
102	C₄⋊C₄×C₄₃	—	2	8	no	—
103	C₄⋊C₄×C₄₃	—	4	4	no	—
104	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
105	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
106	C₂²⋊C₄×C₄₃	—	2	16	no	—
107	C₂²⋊C₄×C₄₃	—	4	8	no	—
108	C₄²×C₄₃	—	2	16	no	—
109	C₂³×C₄₃	—	2	4	no	—
110	C₂³×C₄₃	—	2	4	no	—
111	C₂³×C₄₃	—	2	2	no	—
112	C₂³×C₄₃	—	2	2	no	—
113	C₂³×C₄₃	—	2	8	no	—
114	C₂³×C₄₃	—	2	8	no	—
115	C₂³×C₄₃	—	2	8	no	—
116	C₂³×C₄₃	—	4	8	no	—
117	C₂³×C₄₃	—	4	8	no	—
118	C₂³×C₄₃	C₂×C₂²⋊C₄	1	4	yes	—
119	C₂³×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
120	C₂³×C₄₃	#123	1	4	yes	—
121	C₂³×C₄₃	#135	1	4	yes	—
122	C₂³×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
123	C₂³×C₄₃	#137	1	2	yes	—
124	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
125	C₂×C₄×C₄₃	—	2	4	no	—
126	C₂×C₄×C₄₃	—	2	8	no	—
127	C₂×C₄×C₄₃	—	2	8	no	—
128	C₂×C₄×C₄₃	—	2	8	no	—
129	C₂×C₄×C₄₃	—	2	16	no	—
130	C₂×C₄×C₄₃	—	2	4	no	—
131	C₂×C₄×C₄₃	—	2	4	no	—
132	C₂×C₄×C₄₃	—	4	4	no	—
133	C₂×C₄×C₄₃	—	4	2	no	—
134	C₂×C₄×C₄₃	—	4	2	no	—
135	C₂×C₄×C₄₃	—	4	8	no	—
136	C₂×C₄×C₄₃	—	4	8	no	—
137	C₂×C₄×C₄₃	—	4	4	no	—
138	C₂×C₄×C₄₃	—	4	4	no	—
139	C₂×C₄×C₄₃	—	4	4	no	—
140	C₂×C₄×C₄₃	—	8	8	no	—
141	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	4	yes	—
142	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
143	C₂×C₄×C₄₃	#117	1	8	yes	—
144	C₂×C₄×C₄₃	#123	1	8	yes	—
145	C₂×C₄×C₄₃	#123	1	4	yes	—
146	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
147	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
148	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
149	C₈×C₄₃	—	4	4	no	—
150	C₂×#1825	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
151	C₂²×C₄₃	—	2	4	no	—
152	C₂²×C₄₃	—	2	4	no	—
153	C₂²×C₄₃	—	2	4	no	—
154	C₂²×C₄₃	—	4	4	no	—
155	C₂²×C₄₃	—	4	4	no	—
156	C₂²×C₄₃	—	4	16	no	—
157	C₂²×C₄₃	#381	1	4	yes	—
158	C₂²×C₄₃	#416	1	4	yes	—
159	C₂²×C₄₃	#417	1	4	yes	—
160	C₂²×C₄₃	#482	1	8	yes	—
161	C₂²×C₄₃	#485	1	8	yes	—
162	C₂²×C₄₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
163	C₂²×C₄₃	C₂×#123	1	2	yes	—
164	C₂²×C₄₃	C₂×#135	1	2	yes	—
165	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
166	C₂²×C₄₃	C₂×#137	1	1	yes	characteristic
167	C₄×C₄₃	—	2	4	no	—
168	C₄×C₄₃	—	4	4	no	—
169	C₄×C₄₃	—	4	4	no	—
170	C₄×C₄₃	—	8	4	no	—
171	C₄×C₄₃	#381	1	4	yes	—
172	C₄×C₄₃	C₂×#117	1	2	yes	—
173	C₄×C₄₃	C₂×#123	1	2	yes	—
174	C₂²×#117	C₂×C₄₃	1	1	yes	characteristic
175	C₂²×C₂²⋊C₈	C₂×C₄₃	1	1	yes	characteristic
176	C₂×#380	C₂×C₄₃	1	1	yes	characteristic
177	#1825	C₂×C₄₃	1	8	yes	direct product factor
178	C₂×#340	C₂×C₄₃	1	2	yes	complemented
179	C₂×#340	C₂×C₄₃	1	2	yes	complemented
180	C₂×C₄₃	—	4	4	no	—
181	C₂×C₄₃	#1825	1	8	yes	direct product factor
182	C₂×C₄₃	C₂×#381	1	1	yes	characteristic
183	C₂×C₄₃	C₂×#416	1	1	yes	characteristic
184	C₂×C₄₃	C₂×#417	1	1	yes	characteristic
185	C₂×C₄₃	C₂×#482	1	2	yes	—
186	C₂×C₄₃	C₂×#485	1	2	yes	—
187	C₂⁴×C₄	C₂²×C₄₃	1	1	yes	characteristic
188	C₂³×C₈	C₂²×C₄₃	1	2	yes	—
189	C₂×#117	—	2	4	no	—
190	C₂×#117	—	2	2	no	—
191	C₂×#117	C₄×C₄₃	1	8	yes	complemented
192	C₂×#117	C₂²×C₄₃	1	4	yes	—
193	C₂²×C₄⋊C₄	C₂²×C₄₃	1	2	yes	—
194	C₂²×C₄⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
195	C₂²×C₄⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
196	C₂²×C₂²⋊C₄	—	2	1	no	—
197	C₂²×C₂²⋊C₄	—	2	1	no	—
198	C₂²×C₄²	—	2	1	no	—
199	C₂×C₂²⋊C₈	—	2	4	no	—
200	C₂×C₂²⋊C₈	C₂²×C₄₃	1	4	yes	—
201	#380	—	2	2	no	—
202	#380	C₂²×C₄₃	1	4	yes	—
203	C₂×#95	—	2	1	no	—
204	#340	C₂²×C₄₃	1	8	yes	complemented
205	#340	C₂²×C₄₃	1	8	yes	complemented
206	C₄₃	C₂×#1825	1	1	yes	characteristic, direct product factor, Sylow
207	C₂⁵	D₄×C₄₃	1	1	yes	characteristic
208	C₂³×C₄	—	2	8	no	—
209	C₂³×C₄	—	2	1	no	—
210	C₂³×C₄	—	2	1	no	—
211	C₂³×C₄	—	2	2	no	—
212	C₂³×C₄	C₂×C₄×C₄₃	1	4	yes	—
213	C₂³×C₄	D₄×C₄₃	1	2	yes	—
214	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
215	C₂³×C₄	D₄×C₄₃	1	4	yes	—
216	C₂³×C₄	C₂³×C₄₃	1	2	yes	—
217	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
218	C₂²×C₈	—	2	4	no	—
219	C₂²×C₈	—	2	8	no	—
220	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
221	#117	—	2	16	no	—
222	#117	—	2	8	no	—
223	#117	C₂×C₄×C₄₃	1	16	yes	complemented
224	C₂×C₄⋊C₄	—	2	1	no	—
225	C₂×C₄⋊C₄	—	2	1	no	—
226	C₂×C₄⋊C₄	—	2	2	no	—
227	C₂×C₄⋊C₄	—	2	2	no	—
228	C₂×C₄⋊C₄	—	2	8	no	—
229	C₂×C₄⋊C₄	—	2	2	no	—
230	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	4	yes	—
231	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	4	yes	—
232	C₂×C₄⋊C₄	C₂³×C₄₃	1	4	yes	—
233	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
234	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
235	C₂×C₂²⋊C₄	—	2	8	no	—
236	C₂×C₂²⋊C₄	—	2	4	no	—
237	C₂×C₂²⋊C₄	—	2	4	no	—
238	C₂×C₂²⋊C₄	—	4	4	no	—
239	C₂×C₄²	—	2	8	no	—
240	C₂×C₄²	—	2	4	no	—
241	C₂²⋊C₈	—	2	8	no	—
242	#95	—	2	4	no	—
243	C₂⁴	—	2	4	no	—
244	C₂⁴	—	2	4	no	—
245	C₂⁴	—	2	2	no	—
246	C₂⁴	—	2	2	no	—
247	C₂⁴	C₂²⋊C₄×C₄₃	1	4	yes	—
248	C₂⁴	C₂×D₄×C₄₃	1	2	yes	—
249	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
250	C₂²×C₄	—	2	4	no	—
251	C₂²×C₄	—	2	16	no	—
252	C₂²×C₄	—	2	8	no	—
253	C₂²×C₄	—	2	16	no	—
254	C₂²×C₄	—	2	8	no	—
255	C₂²×C₄	—	2	4	no	—
256	C₂²×C₄	—	2	4	no	—
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	—	2	4	no	—
260	C₂²×C₄	—	4	4	no	—
261	C₂²×C₄	—	4	2	no	—
262	C₂²×C₄	—	4	2	no	—
263	C₂²×C₄	—	4	4	no	—
264	C₂²×C₄	—	4	4	no	—
265	C₂²×C₄	—	4	4	no	—
266	C₂²×C₄	C₂²⋊C₄×C₄₃	1	4	yes	—
267	C₂²×C₄	C₂²⋊C₄×C₄₃	1	8	yes	—
268	C₂²×C₄	C₂²×C₄×C₄₃	1	4	yes	—
269	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
270	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
271	C₂²×C₄	C₂×D₄×C₄₃	1	4	yes	—
272	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
273	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
274	C₂²×C₄	#41×C₄₃	1	8	yes	—
275	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
276	C₂×C₈	—	2	4	no	—
277	C₂×C₈	—	2	8	no	—
278	C₂×C₈	—	4	8	no	—
279	C₄⋊C₄	—	2	4	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	—	2	2	no	—
282	C₄⋊C₄	—	2	2	no	—
283	C₄⋊C₄	—	2	8	no	—
284	C₄⋊C₄	—	4	4	no	—
285	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
286	C₄⋊C₄	C₂²×C₄×C₄₃	1	4	yes	—
287	C₂²⋊C₄	—	2	16	no	—
288	C₂²⋊C₄	—	4	8	no	—
289	C₄²	—	2	16	no	—
290	C₂³	—	2	4	no	—
291	C₂³	—	2	4	no	—
292	C₂³	—	2	2	no	—
293	C₂³	—	2	2	no	—
294	C₂³	—	2	8	no	—
295	C₂³	—	2	8	no	—
296	C₂³	—	2	8	no	—
297	C₂³	—	4	8	no	—
298	C₂³	—	4	8	no	—
299	C₂³	C₂×C₂²⋊C₄×C₄₃	1	4	yes	—
300	C₂³	C₂×C₂²⋊C₄×C₄₃	1	2	yes	—
301	C₂³	#123×C₄₃	1	4	yes	—
302	C₂³	#135×C₄₃	1	4	yes	—
303	C₂³	AGL(1,ℤ/8)×C₄₃	1	2	yes	—
304	C₂³	#137×C₄₃	1	2	yes	—
305	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
306	C₂×C₄	—	2	4	no	—
307	C₂×C₄	—	2	8	no	—
308	C₂×C₄	—	2	8	no	—
309	C₂×C₄	—	2	8	no	—
310	C₂×C₄	—	2	16	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	4	4	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	2	no	—
316	C₂×C₄	—	4	8	no	—
317	C₂×C₄	—	4	8	no	—
318	C₂×C₄	—	4	4	no	—
319	C₂×C₄	—	4	4	no	—
320	C₂×C₄	—	4	4	no	—
321	C₂×C₄	—	8	8	no	—
322	C₂×C₄	C₂×C₂²⋊C₄×C₄₃	1	4	yes	—
323	C₂×C₄	C₂×C₂²⋊C₄×C₄₃	1	2	yes	—
324	C₂×C₄	#117×C₄₃	1	8	yes	—
325	C₂×C₄	#123×C₄₃	1	8	yes	—
326	C₂×C₄	#123×C₄₃	1	4	yes	—
327	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
328	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
329	C₂×C₄	C₂×#41×C₄₃	1	4	yes	—
330	C₈	—	4	4	no	—
331	C₂²	—	2	4	no	—
332	C₂²	—	2	4	no	—
333	C₂²	—	2	4	no	—
334	C₂²	—	4	4	no	—
335	C₂²	—	4	4	no	—
336	C₂²	—	4	16	no	—
337	C₂²	C₄₃×#381	1	4	yes	—
338	C₂²	C₄₃×#416	1	4	yes	—
339	C₂²	C₄₃×#417	1	4	yes	—
340	C₂²	C₄₃×#482	1	8	yes	—
341	C₂²	C₄₃×#485	1	8	yes	—
342	C₂²	C₂²×C₂²⋊C₄×C₄₃	1	1	yes	characteristic
343	C₂²	C₂×#123×C₄₃	1	2	yes	—
344	C₂²	C₂×#135×C₄₃	1	2	yes	—
345	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	1	yes	characteristic
346	C₂²	C₂×#137×C₄₃	1	1	yes	characteristic
347	C₄	—	2	4	no	—
348	C₄	—	4	4	no	—
349	C₄	—	4	4	no	—
350	C₄	—	8	4	no	—
351	C₄	C₄₃×#381	1	4	yes	—
352	C₄	C₂×#117×C₄₃	1	2	yes	—
353	C₄	C₂×#123×C₄₃	1	2	yes	—
354	C₂	—	4	4	no	—
355	C₂	C₄₃×#1825	1	8	yes	direct product factor
356	C₂	C₂×C₄₃×#381	1	1	yes	characteristic
357	C₂	C₂×C₄₃×#416	1	1	yes	characteristic
358	C₂	C₂×C₄₃×#417	1	1	yes	characteristic
359	C₂	C₂×C₄₃×#482	1	2	yes	—
360	C₂	C₂×C₄₃×#485	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₄₃	C₂×D₄
commutator	C₂×C₄	C₂³×C₄×C₄₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₂⁵×C₄₃	D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₄₃ ◁ C₂⁴×C₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₄₃×#1825	C₂	direct (N × H)
5. C₂×C₄₃×#340	C₂	semidirect
6. C₂×C₄₃×#340	C₂	semidirect
11. C₂×#117×C₄₃	C₄	semidirect
24. C₄₃×#340	C₂²	semidirect
25. C₄₃×#340	C₂²	semidirect
42. #117×C₄₃	C₂×C₄	semidirect
150. C₂×#1825	C₄₃	direct (N × H)
177. #1825	C₂×C₄₃	direct (N × H)
178. C₂×#340	C₂×C₄₃	semidirect
179. C₂×#340	C₂×C₄₃	semidirect
181. C₂×C₄₃	#1825	direct (N × H)
191. C₂×#117	C₄×C₄₃	semidirect
204. #340	C₂²×C₄₃	semidirect
205. #340	C₂²×C₄₃	semidirect
206. C₄₃	C₂×#1825	direct (N × H)
223. #117	C₂×C₄×C₄₃	semidirect
355. C₂	C₄₃×#1825	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#117×C₄₃	2
C₂²×C₂²⋊C₈×C₄₃	2
C₂×C₄₃×#380	2
C₄₃×#1825	2
C₂×C₄₃×#340	2
C₂×#1825	43

Subgroups — C2×C43×#1825 #24940714

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₄₃×#1825 #24940714