Subgroups — C₄₃×#29618 #24949635

Order 11008.

1316 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#537	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#3007	C₂	1	2	yes	maximal, complemented
3	C₄₃×#2503	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#2040	C₂	1	4	yes	maximal, complemented
5	C₄₃×#2007	C₂	1	4	yes	maximal, complemented
6	C₄₃×#1821	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#1789	C₂	1	2	yes	maximal, complemented
8	C₂²×#41×C₄₃	C₂²	1	2	yes	—
9	C₂×#137×C₄₃	C₂²	1	4	yes	complemented
10	C₄₃×#537	—	2	4	no	—
11	C₄₃×#537	—	2	2	no	—
12	C₄₃×#537	C₂²	1	4	yes	—
13	C₂×C₂²⋊Q₈×C₄₃	—	2	2	no	—
14	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
15	C₂×#121×C₄₃	—	2	2	no	—
16	C₂×#121×C₄₃	—	2	2	no	—
17	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
18	C₄₃×#452	—	2	4	no	—
19	C₄₃×#451	—	2	2	no	—
20	C₄₃×#450	—	2	2	no	—
21	C₂×#104×C₄₃	C₂²	1	8	yes	complemented
22	C₄₃×#417	C₂²	1	4	yes	complemented
23	C₄₃×#407	C₂²	1	2	yes	—
24	C₄₃×#400	—	2	2	no	—
25	C₄₃×#391	C₂²	1	2	yes	complemented
26	C₄₃×#382	C₂²	1	2	yes	complemented
27	C₄₃×#381	—	2	2	no	—
28	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
29	C₄₃×#343	C₂²	1	4	yes	complemented
30	C₂×#41×C₄₃	—	2	2	no	—
31	C₂×#41×C₄₃	—	2	2	no	—
32	C₂×#41×C₄₃	—	4	8	no	—
33	C₂×#41×C₄₃	D₄	1	4	yes	—
34	C₂×#41×C₄₃	C₂³	1	4	yes	—
35	C₂²×Q₈×C₄₃	D₄	1	2	yes	—
36	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
37	C₂²×D₄×C₄₃	—	2	2	no	—
38	C₂²×D₄×C₄₃	—	2	2	no	—
39	C₂²×D₄×C₄₃	D₄	1	2	yes	—
40	C₂³×C₄×C₄₃	—	2	2	no	—
41	C₂³×C₄×C₄₃	D₄	1	2	yes	—
42	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
43	#137×C₄₃	—	4	8	no	—
44	C₂×Q₁₆×C₄₃	—	2	4	no	—
45	C₂×SD₁₆×C₄₃	—	2	4	no	—
46	C₂×M₁₆×C₄₃	C₂³	1	4	yes	—
47	C₂²⋊Q₈×C₄₃	—	2	8	no	—
48	C₂²⋊Q₈×C₄₃	—	2	8	no	—
49	C₂²⋊Q₈×C₄₃	—	2	2	no	—
50	C₂²⋊Q₈×C₄₃	—	2	2	no	—
51	#121×C₄₃	—	2	8	no	—
52	#121×C₄₃	—	2	8	no	—
53	#121×C₄₃	—	2	8	no	—
54	#121×C₄₃	—	2	8	no	—
55	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
56	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
57	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
58	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
59	C₂×C₄⋊C₄×C₄₃	D₄	1	2	yes	—
60	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
61	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
62	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
63	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
64	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
65	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
66	#104×C₄₃	—	4	8	no	—
67	#103×C₄₃	—	2	4	no	—
68	#102×C₄₃	—	2	4	no	—
69	C₂²⋊C₈×C₄₃	—	2	2	no	—
70	C₂²⋊C₈×C₄₃	—	2	2	no	—
71	#95×C₄₃	—	2	1	no	—
72	#95×C₄₃	—	2	4	no	—
73	#95×C₄₃	—	2	4	no	—
74	C₂⁴×C₄₃	—	2	2	no	—
75	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
76	#41×C₄₃	—	2	8	no	—
77	#41×C₄₃	—	2	8	no	—
78	#41×C₄₃	—	4	4	no	—
79	#41×C₄₃	—	4	4	no	—
80	#41×C₄₃	—	4	8	no	—
81	#41×C₄₃	—	4	8	no	—
82	C₂×Q₈×C₄₃	—	2	2	no	—
83	C₂×Q₈×C₄₃	—	2	2	no	—
84	C₂×Q₈×C₄₃	—	2	4	no	—
85	C₂×Q₈×C₄₃	—	4	4	no	—
86	C₂×Q₈×C₄₃	C₂×D₄	1	4	yes	—
87	C₂×D₄×C₄₃	—	2	8	no	—
88	C₂×D₄×C₄₃	—	2	2	no	—
89	C₂×D₄×C₄₃	—	2	4	no	—
90	C₂×D₄×C₄₃	—	2	4	no	—
91	C₂×D₄×C₄₃	—	4	8	no	—
92	C₂×D₄×C₄₃	—	4	4	no	—
93	C₂×D₄×C₄₃	—	8	4	no	—
94	C₂×D₄×C₄₃	C₂×D₄	1	4	yes	—
95	C₂²×C₄×C₄₃	—	2	4	no	—
96	C₂²×C₄×C₄₃	—	2	4	no	—
97	C₂²×C₄×C₄₃	—	2	4	no	—
98	C₂²×C₄×C₄₃	—	2	2	no	—
99	C₂²×C₄×C₄₃	—	2	2	no	—
100	C₂²×C₄×C₄₃	—	2	2	no	—
101	C₂²×C₄×C₄₃	—	2	2	no	—
102	C₂²×C₄×C₄₃	—	2	1	no	—
103	C₂²×C₄×C₄₃	—	2	1	no	—
104	C₂²×C₄×C₄₃	—	4	4	no	—
105	C₂²×C₄×C₄₃	—	4	8	no	—
106	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
107	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
110	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
111	Q₁₆×C₄₃	—	4	8	no	—
112	SD₁₆×C₄₃	—	4	8	no	—
113	M₁₆×C₄₃	—	2	8	no	—
114	C₂×C₈×C₄₃	—	2	4	no	—
115	C₄⋊C₄×C₄₃	—	2	8	no	—
116	C₄⋊C₄×C₄₃	—	2	4	no	—
117	C₄⋊C₄×C₄₃	—	2	4	no	—
118	C₄⋊C₄×C₄₃	—	2	2	no	—
119	C₄⋊C₄×C₄₃	—	4	2	no	—
120	C₂²⋊C₄×C₄₃	—	2	16	no	—
121	C₂²⋊C₄×C₄₃	—	4	2	no	—
122	C₂²⋊C₄×C₄₃	—	4	1	no	—
123	C₂²⋊C₄×C₄₃	—	4	1	no	—
124	C₄²×C₄₃	—	2	4	no	—
125	C₂³×C₄₃	—	2	2	no	—
126	C₂³×C₄₃	—	2	2	no	—
127	C₂³×C₄₃	—	2	4	no	—
128	C₂³×C₄₃	—	4	1	no	—
129	C₂³×C₄₃	—	4	4	no	—
130	C₂³×C₄₃	—	4	4	no	—
131	C₂³×C₄₃	—	4	4	no	—
132	C₂³×C₄₃	#120	1	1	yes	characteristic
133	C₂³×C₄₃	#120	1	1	yes	characteristic
134	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
135	Q₈×C₄₃	—	2	4	no	—
136	Q₈×C₄₃	—	2	4	no	—
137	Q₈×C₄₃	—	4	4	no	—
138	Q₈×C₄₃	—	4	4	no	—
139	D₄×C₄₃	—	2	4	no	—
140	D₄×C₄₃	—	2	4	no	—
141	D₄×C₄₃	—	4	4	no	—
142	D₄×C₄₃	—	4	8	no	—
143	D₄×C₄₃	—	4	8	no	—
144	D₄×C₄₃	—	8	8	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	2	4	no	—
147	C₂×C₄×C₄₃	—	2	4	no	—
148	C₂×C₄×C₄₃	—	2	4	no	—
149	C₂×C₄×C₄₃	—	2	4	no	—
150	C₂×C₄×C₄₃	—	4	8	no	—
151	C₂×C₄×C₄₃	—	4	4	no	—
152	C₂×C₄×C₄₃	—	4	4	no	—
153	C₂×C₄×C₄₃	—	4	8	no	—
154	C₂×C₄×C₄₃	—	4	4	no	—
155	C₂×C₄×C₄₃	—	4	2	no	—
156	C₂×C₄×C₄₃	—	4	2	no	—
157	C₂×C₄×C₄₃	—	4	2	no	—
158	C₂×C₄×C₄₃	—	4	1	no	—
159	C₂×C₄×C₄₃	—	4	1	no	—
160	C₂×C₄×C₄₃	—	4	2	no	—
161	C₂×C₄×C₄₃	—	4	2	no	—
162	C₂×C₄×C₄₃	—	8	2	no	—
163	C₂×C₄×C₄₃	#120	1	2	yes	—
164	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
165	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
166	C₈×C₄₃	—	4	4	no	—
167	#29618	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
168	C₂²×C₄₃	—	2	1	no	—
169	C₂²×C₄₃	—	2	1	no	—
170	C₂²×C₄₃	—	2	1	no	—
171	C₂²×C₄₃	—	2	1	no	—
172	C₂²×C₄₃	—	2	1	no	—
173	C₂²×C₄₃	—	2	1	no	—
174	C₂²×C₄₃	—	2	1	no	—
175	C₂²×C₄₃	—	4	4	no	—
176	C₂²×C₄₃	—	4	4	no	—
177	C₂²×C₄₃	—	4	4	no	—
178	C₂²×C₄₃	—	4	4	no	—
179	C₂²×C₄₃	—	8	8	no	—
180	C₂²×C₄₃	#455	1	2	yes	—
181	C₂²×C₄₃	C₂×#120	1	1	yes	characteristic
182	C₂²×C₄₃	#535	1	2	yes	—
183	C₄×C₄₃	—	2	2	no	—
184	C₄×C₄₃	—	4	4	no	—
185	C₄×C₄₃	—	4	4	no	—
186	C₄×C₄₃	—	8	2	no	—
187	C₄×C₄₃	—	8	1	no	—
188	C₄×C₄₃	—	8	1	no	—
189	C₄×C₄₃	#534	1	4	yes	—
190	C₂×#537	C₂×C₄₃	1	1	yes	characteristic
191	#3007	C₂×C₄₃	1	2	yes	complemented
192	#2503	C₂×C₄₃	1	1	yes	characteristic, complemented
193	#2040	C₂×C₄₃	1	4	yes	complemented
194	#2007	C₂×C₄₃	1	4	yes	complemented
195	#1821	C₂×C₄₃	1	1	yes	characteristic, complemented
196	#1789	C₂×C₄₃	1	2	yes	complemented
197	C₂×C₄₃	—	2	2	no	—
198	C₂×C₄₃	—	2	2	no	—
199	C₂×C₄₃	—	4	1	no	—
200	C₂×C₄₃	—	8	4	no	—
201	C₂×C₄₃	#2613	1	1	yes	characteristic
202	C₂×C₄₃	C₂×#455	1	1	yes	characteristic
203	C₂×C₄₃	#3020	1	1	yes	characteristic
204	C₂²×#41	C₂²×C₄₃	1	2	yes	—
205	C₂×#137	C₂²×C₄₃	1	4	yes	complemented
206	#537	—	2	4	no	—
207	#537	—	2	2	no	—
208	#537	C₂²×C₄₃	1	4	yes	—
209	C₂×C₂²⋊Q₈	—	2	2	no	—
210	C₂×C₂²⋊Q₈	C₂²×C₄₃	1	1	yes	characteristic
211	C₂×#121	—	2	2	no	—
212	C₂×#121	—	2	2	no	—
213	C₂²×C₄⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
214	#452	—	2	4	no	—
215	#451	—	2	2	no	—
216	#450	—	2	2	no	—
217	C₂×#104	C₂²×C₄₃	1	8	yes	complemented
218	#417	C₂²×C₄₃	1	4	yes	complemented
219	#407	C₂²×C₄₃	1	2	yes	—
220	#400	—	2	2	no	—
221	#391	C₂²×C₄₃	1	2	yes	complemented
222	#382	C₂²×C₄₃	1	2	yes	complemented
223	#381	—	2	2	no	—
224	C₄×C₂²⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
225	#343	C₂²×C₄₃	1	4	yes	complemented
226	C₄₃	#29618	1	1	yes	characteristic, direct product factor, Sylow
227	C₂×#41	—	2	2	no	—
228	C₂×#41	—	2	2	no	—
229	C₂×#41	—	4	8	no	—
230	C₂×#41	D₄×C₄₃	1	4	yes	—
231	C₂×#41	C₂³×C₄₃	1	4	yes	—
232	C₂²×Q₈	D₄×C₄₃	1	2	yes	—
233	C₂²×Q₈	C₂³×C₄₃	1	1	yes	characteristic
234	C₂²×D₄	—	2	2	no	—
235	C₂²×D₄	—	2	2	no	—
236	C₂²×D₄	D₄×C₄₃	1	2	yes	—
237	C₂³×C₄	—	2	2	no	—
238	C₂³×C₄	D₄×C₄₃	1	2	yes	—
239	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
240	#137	—	4	8	no	—
241	C₂×Q₁₆	—	2	4	no	—
242	C₂×SD₁₆	—	2	4	no	—
243	C₂×M₁₆	C₂³×C₄₃	1	4	yes	—
244	C₂²⋊Q₈	—	2	8	no	—
245	C₂²⋊Q₈	—	2	8	no	—
246	C₂²⋊Q₈	—	2	2	no	—
247	C₂²⋊Q₈	—	2	2	no	—
248	#121	—	2	8	no	—
249	#121	—	2	8	no	—
250	#121	—	2	8	no	—
251	#121	—	2	8	no	—
252	C₂×C₄⋊C₄	—	2	2	no	—
253	C₂×C₄⋊C₄	—	2	2	no	—
254	C₂×C₄⋊C₄	—	2	2	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	D₄×C₄₃	1	2	yes	—
257	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
258	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
259	C₂×C₂²⋊C₄	—	2	4	no	—
260	C₂×C₂²⋊C₄	—	2	1	no	—
261	C₂×C₂²⋊C₄	—	2	1	no	—
262	C₂×C₄²	C₂³×C₄₃	1	2	yes	—
263	#104	—	4	8	no	—
264	#103	—	2	4	no	—
265	#102	—	2	4	no	—
266	C₂²⋊C₈	—	2	2	no	—
267	C₂²⋊C₈	—	2	2	no	—
268	#95	—	2	1	no	—
269	#95	—	2	4	no	—
270	#95	—	2	4	no	—
271	C₂⁴	—	2	2	no	—
272	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
273	#41	—	2	8	no	—
274	#41	—	2	8	no	—
275	#41	—	4	4	no	—
276	#41	—	4	4	no	—
277	#41	—	4	8	no	—
278	#41	—	4	8	no	—
279	C₂×Q₈	—	2	2	no	—
280	C₂×Q₈	—	2	2	no	—
281	C₂×Q₈	—	2	4	no	—
282	C₂×Q₈	—	4	4	no	—
283	C₂×Q₈	C₂×D₄×C₄₃	1	4	yes	—
284	C₂×D₄	—	2	4	no	—
285	C₂×D₄	—	2	4	no	—
286	C₂×D₄	—	2	8	no	—
287	C₂×D₄	—	2	2	no	—
288	C₂×D₄	—	4	4	no	—
289	C₂×D₄	—	4	8	no	—
290	C₂×D₄	—	8	4	no	—
291	C₂×D₄	C₂×D₄×C₄₃	1	4	yes	—
292	C₂²×C₄	—	2	4	no	—
293	C₂²×C₄	—	2	2	no	—
294	C₂²×C₄	—	2	2	no	—
295	C₂²×C₄	—	2	2	no	—
296	C₂²×C₄	—	2	4	no	—
297	C₂²×C₄	—	2	4	no	—
298	C₂²×C₄	—	2	2	no	—
299	C₂²×C₄	—	2	1	no	—
300	C₂²×C₄	—	2	1	no	—
301	C₂²×C₄	—	4	8	no	—
302	C₂²×C₄	—	4	4	no	—
303	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
304	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
305	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
306	C₂²×C₄	C₂×D₄×C₄₃	1	4	yes	—
307	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
308	Q₁₆	—	4	8	no	—
309	SD₁₆	—	4	8	no	—
310	M₁₆	—	2	8	no	—
311	C₂×C₈	—	2	4	no	—
312	C₄⋊C₄	—	2	8	no	—
313	C₄⋊C₄	—	2	4	no	—
314	C₄⋊C₄	—	2	4	no	—
315	C₄⋊C₄	—	2	2	no	—
316	C₄⋊C₄	—	4	2	no	—
317	C₂²⋊C₄	—	2	16	no	—
318	C₂²⋊C₄	—	4	2	no	—
319	C₂²⋊C₄	—	4	1	no	—
320	C₂²⋊C₄	—	4	1	no	—
321	C₄²	—	2	4	no	—
322	C₂³	—	2	2	no	—
323	C₂³	—	2	2	no	—
324	C₂³	—	2	4	no	—
325	C₂³	—	4	1	no	—
326	C₂³	—	4	4	no	—
327	C₂³	—	4	4	no	—
328	C₂³	—	4	4	no	—
329	C₂³	#120×C₄₃	1	1	yes	characteristic
330	C₂³	#120×C₄₃	1	1	yes	characteristic
331	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
332	Q₈	—	2	4	no	—
333	Q₈	—	2	4	no	—
334	Q₈	—	4	4	no	—
335	Q₈	—	4	4	no	—
336	D₄	—	2	4	no	—
337	D₄	—	2	4	no	—
338	D₄	—	4	4	no	—
339	D₄	—	4	8	no	—
340	D₄	—	4	8	no	—
341	D₄	—	8	8	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	2	4	no	—
344	C₂×C₄	—	2	4	no	—
345	C₂×C₄	—	2	4	no	—
346	C₂×C₄	—	2	4	no	—
347	C₂×C₄	—	4	8	no	—
348	C₂×C₄	—	4	4	no	—
349	C₂×C₄	—	4	4	no	—
350	C₂×C₄	—	4	8	no	—
351	C₂×C₄	—	4	4	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	4	1	no	—
356	C₂×C₄	—	4	1	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	8	2	no	—
360	C₂×C₄	#120×C₄₃	1	2	yes	—
361	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
362	C₂×C₄	H(5,𝔽₂)×C₄₃	1	4	yes	—
363	C₈	—	4	4	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	4	4	no	—
372	C₂²	—	4	4	no	—
373	C₂²	—	4	4	no	—
374	C₂²	—	4	4	no	—
375	C₂²	—	8	8	no	—
376	C₂²	C₄₃×#455	1	2	yes	—
377	C₂²	C₂×#120×C₄₃	1	1	yes	characteristic
378	C₂²	C₄₃×#535	1	2	yes	—
379	C₄	—	2	2	no	—
380	C₄	—	4	4	no	—
381	C₄	—	4	4	no	—
382	C₄	—	8	2	no	—
383	C₄	—	8	1	no	—
384	C₄	—	8	1	no	—
385	C₄	C₄₃×#534	1	4	yes	—
386	C₂	—	2	2	no	—
387	C₂	—	2	2	no	—
388	C₂	—	4	1	no	—
389	C₂	—	8	4	no	—
390	C₂	C₄₃×#2613	1	1	yes	characteristic
391	C₂	C₂×C₄₃×#455	1	1	yes	characteristic
392	C₂	C₄₃×#3020	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₃	C₂×#120
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₂×C₄₃×#537	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₃ ◁ C₂³×C₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₃×#3007	C₂	semidirect
3. C₄₃×#2503	C₂	semidirect
4. C₄₃×#2040	C₂	semidirect
5. C₄₃×#2007	C₂	semidirect
6. C₄₃×#1821	C₂	semidirect
7. C₄₃×#1789	C₂	semidirect
9. C₂×#137×C₄₃	C₂²	semidirect
21. C₂×#104×C₄₃	C₂²	semidirect
22. C₄₃×#417	C₂²	semidirect
25. C₄₃×#391	C₂²	semidirect
26. C₄₃×#382	C₂²	semidirect
29. C₄₃×#343	C₂²	semidirect
167. #29618	C₄₃	direct (N × H)
191. #3007	C₂×C₄₃	semidirect
192. #2503	C₂×C₄₃	semidirect
193. #2040	C₂×C₄₃	semidirect
194. #2007	C₂×C₄₃	semidirect
195. #1821	C₂×C₄₃	semidirect
196. #1789	C₂×C₄₃	semidirect
205. C₂×#137	C₂²×C₄₃	semidirect
217. C₂×#104	C₂²×C₄₃	semidirect
218. #417	C₂²×C₄₃	semidirect
221. #391	C₂²×C₄₃	semidirect
222. #382	C₂²×C₄₃	semidirect
225. #343	C₂²×C₄₃	semidirect
226. C₄₃	#29618	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₄₃×#537	2
C₄₃×#3007	2
C₄₃×#2503	2
C₄₃×#2040	2
C₄₃×#2007	2
C₄₃×#1821	2
C₄₃×#1789	2
#29618	43

Subgroups — C43×#29618 #24949635

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#29618 #24949635