Subgroups — #25080055

Order 11008.

584 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145932	C₂	1	2	yes	maximal
2	#19145181	C₂	1	1	yes	maximal, characteristic, complemented
3	#19134113	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134108	C₂	1	1	yes	maximal, characteristic, complemented
5	#19134089	C₂	1	1	yes	maximal, characteristic, complemented
6	#19134084	C₂	1	1	yes	maximal, characteristic, complemented
7	#19134025	C₂	1	2	yes	maximal, complemented
8	#19134018	C₂	1	2	yes	maximal, complemented
9	C₂×#14582650	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133296	C₂	1	2	yes	maximal, complemented
11	C₄₃×#2966	C₂	1	1	yes	maximal, characteristic
12	#14583456	C₂²	1	2	yes	—
13	#14583304	C₂²	1	1	yes	characteristic
14	#14583279	C₂²	1	1	yes	characteristic
15	#14583250	C₂²	1	2	yes	—
16	#14583203	—	2	2	no	—
17	#14583184	C₂²	1	2	yes	—
18	#14583179	C₂²	1	2	yes	—
19	#14583140	—	2	1	no	—
20	#14583140	—	2	1	no	—
21	#14583138	—	2	2	no	—
22	#14583126	—	2	2	no	—
23	#14583118	—	2	2	no	—
24	#14583109	C₂²	1	2	yes	—
25	#14583104	C₂²	1	2	yes	—
26	C₄×Dic₁₇₂	—	2	1	no	—
27	C₄×Dic₁₇₂	—	2	1	no	—
28	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	2	yes	—
29	#14582650	C₂²	1	2	yes	—
30	#14582650	C₂²	1	1	yes	characteristic
31	#14582650	C₂²	1	1	yes	characteristic
32	#14582646	C₂²	1	2	yes	—
33	#14582646	C₂²	1	2	yes	—
34	#14582644	C₂²	1	2	yes	—
35	#14582644	C₂²	1	2	yes	—
36	C₄₃×#529	C₂²	1	1	yes	characteristic
37	C₄₃×#446	C₂²	1	1	yes	characteristic
38	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₄₃×#436	C₂²	1	1	yes	characteristic
40	C₄₃×#435	—	2	1	no	—
41	C₈×D₄×C₄₃	—	2	1	no	—
42	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
43	C₄₃×#433	—	2	1	no	—
44	C₄₃×#432	C₂²	1	1	yes	characteristic
45	C₄₃×#405	—	2	1	no	—
46	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
47	C₂×Dic₁₇₂	—	2	1	no	—
48	C₂×Dic₁₇₂	—	2	1	no	—
49	C₂×#10621885	—	2	2	no	—
50	C₂×#10621883	—	2	2	no	—
51	C₂²×C₄₃⋊C₈	—	2	2	no	—
52	#13063325	C₂³	1	2	yes	—
53	#13063325	C₂³	1	2	yes	—
54	#13063317	—	2	2	no	—
55	#13063304	—	2	2	no	—
56	#13063304	—	2	2	no	—
57	C₄×Dic₈₆	—	2	2	no	—
58	C₄×Dic₈₆	—	2	2	no	—
59	#13063284	—	2	2	no	—
60	#13063259	—	2	1	no	—
61	#13063259	—	2	1	no	—
62	#13063258	—	2	2	no	—
63	#13063256	—	2	2	no	—
64	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
65	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
66	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
67	#13063250	—	2	2	no	—
68	#13063250	—	2	2	no	—
69	#13063249	—	2	2	no	—
70	#13063248	—	2	2	no	—
71	#13063248	—	2	2	no	—
72	#13063246	—	2	2	no	—
73	C₂×M₁₆×C₄₃	—	2	1	no	—
74	C₂²×C₈×C₄₃	—	2	1	no	—
75	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
76	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
77	#126×C₄₃	—	2	1	no	—
78	#125×C₄₃	D₄	1	1	yes	characteristic
79	#124×C₄₃	D₄	1	1	yes	characteristic
80	#123×C₄₃	—	2	1	no	—
81	C₂²⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
82	#121×C₄₃	D₄	1	1	yes	characteristic
83	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
84	C₄×D₄×C₄₃	—	2	1	no	—
85	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
86	#117×C₄₃	—	2	1	no	—
87	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₃	—	2	1	no	—
89	C₄⋊C₈×C₄₃	—	2	1	no	—
90	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
91	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₂²⋊C₈×C₄₃	—	2	1	no	—
93	C₂²⋊C₈×C₄₃	—	2	1	no	—
94	C₂²⋊C₈×C₄₃	—	2	1	no	—
95	#97×C₄₃	—	2	1	no	—
96	#97×C₄₃	—	2	1	no	—
97	C₄×C₈×C₄₃	—	2	1	no	—
98	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
99	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
100	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
102	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
103	C₂×D₄×C₄₃	—	2	1	no	—
104	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₄₃	—	2	1	no	—
106	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
109	C₂×Dic₈₆	—	2	2	no	—
110	C₂×Dic₈₆	—	2	2	no	—
111	M₁₆×C₄₃	—	4	2	no	—
112	C₂×C₈×C₄₃	—	2	2	no	—
113	C₂×C₈×C₄₃	—	2	1	no	—
114	C₂×C₈×C₄₃	—	2	1	no	—
115	C₂×C₈×C₄₃	—	4	1	no	—
116	C₂×C₈×C₄₃	—	4	2	no	—
117	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₄⋊C₄×C₄₃	—	2	1	no	—
122	C₄⋊C₄×C₄₃	—	2	1	no	—
123	C₄⋊C₄×C₄₃	—	2	1	no	—
124	C₄⋊C₄×C₄₃	—	2	1	no	—
125	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
126	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
127	C₂²⋊C₄×C₄₃	—	2	1	no	—
128	C₂²⋊C₄×C₄₃	—	2	1	no	—
129	C₂²⋊C₄×C₄₃	—	2	1	no	—
130	C₂²⋊C₄×C₄₃	—	2	1	no	—
131	C₂²⋊C₄×C₄₃	—	2	1	no	—
132	C₄²×C₄₃	—	2	1	no	—
133	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
135	C₄²×C₄₃	#41	1	1	yes	characteristic
136	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
137	C₂²⋊Dic₄₃	—	4	2	no	—
138	#10621885	—	8	2	no	—
139	#10621883	—	8	2	no	—
140	C₄⋊Dic₄₃	—	2	2	no	—
141	C₄⋊Dic₄₃	—	2	2	no	—
142	C₄⋊Dic₄₃	—	2	2	no	—
143	C₄⋊Dic₄₃	—	2	2	no	—
144	Dic₄₃⋊C₄	—	4	2	no	—
145	Dic₄₃⋊C₄	—	4	2	no	—
146	C₄×Dic₄₃	—	4	2	no	—
147	C₂×C₄₃⋊C₈	—	2	2	no	—
148	C₂×C₄₃⋊C₈	—	2	2	no	—
149	C₂×C₄₃⋊C₈	—	8	2	no	—
150	Dic₁₇₂	—	4	2	no	—
151	Dic₁₇₂	—	4	2	no	—
152	C₂³×C₄₃	—	2	1	no	—
153	C₂³×C₄₃	#121	1	1	yes	characteristic
154	Q₈×C₄₃	—	2	2	no	—
155	D₄×C₄₃	—	2	2	no	—
156	D₄×C₄₃	—	4	2	no	—
157	C₂×C₄×C₄₃	—	2	2	no	—
158	C₂×C₄×C₄₃	—	2	1	no	—
159	C₂×C₄×C₄₃	—	2	1	no	—
160	C₂×C₄×C₄₃	—	2	2	no	—
161	C₂×C₄×C₄₃	—	2	1	no	—
162	C₂×C₄×C₄₃	—	2	1	no	—
163	C₂×C₄×C₄₃	—	2	1	no	—
164	C₂×C₄×C₄₃	—	4	1	no	—
165	C₂×C₄×C₄₃	—	4	1	no	—
166	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
167	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
168	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
169	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
172	C₂×Dic₄₃	—	4	2	no	—
173	C₂×Dic₄₃	—	4	2	no	—
174	Dic₈₆	—	4	2	no	—
175	Dic₈₆	—	4	2	no	—
176	Dic₈₆	—	4	2	no	—
177	Dic₈₆	—	4	2	no	—
178	C₈×C₄₃	—	2	1	no	—
179	C₈×C₄₃	—	2	1	no	—
180	C₈×C₄₃	—	2	1	no	—
181	C₈×C₄₃	—	4	1	no	—
182	C₈×C₄₃	—	4	1	no	—
183	C₈×C₄₃	#135	1	2	yes	—
184	C₄₃⋊C₈	—	4	2	no	—
185	C₄₃⋊C₈	—	4	2	no	—
186	#19228	—	43	1	no	maximal, Sylow
187	C₂²×C₄₃	—	2	1	no	—
188	C₂²×C₄₃	—	2	1	no	—
189	C₂²×C₄₃	—	4	1	no	—
190	C₂²×C₄₃	—	4	1	no	—
191	C₂²×C₄₃	—	4	1	no	—
192	C₂²×C₄₃	#473	1	2	yes	—
193	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
194	C₄×C₄₃	—	2	1	no	—
195	C₄×C₄₃	—	2	1	no	—
196	C₄×C₄₃	—	2	1	no	—
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	4	1	no	—
199	C₄×C₄₃	—	4	1	no	—
200	C₄×C₄₃	—	4	1	no	—
201	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
202	C₄×C₄₃	#575	1	1	yes	characteristic
203	C₄×C₄₃	#577	1	2	yes	—
204	Dic₄₃	—	8	2	no	—
205	Dic₄₃	—	8	2	no	—
206	#3248	—	43	2	no	—
207	#3170	—	43	1	no	—
208	#2966	D₄₃	1	1	yes	characteristic
209	#1694	—	43	1	no	—
210	#1693	—	43	1	no	—
211	#1690	—	43	1	no	—
212	#1689	—	43	1	no	—
213	#1680	—	43	2	no	—
214	#1679	—	43	2	no	—
215	C₂×#334	—	43	1	no	—
216	#1552	—	43	2	no	—
217	C₂×C₄₃	—	2	2	no	—
218	C₂×C₄₃	—	8	1	no	—
219	C₂×C₄₃	#3035	1	1	yes	characteristic
220	C₂×C₄₃	#3060	1	1	yes	characteristic
221	C₂×C₄₃	C₂×#473	1	1	yes	characteristic
222	#533	—	43	2	no	—
223	#529	C₂×D₄₃	1	1	yes	characteristic
224	#500	—	43	1	no	—
225	#494	—	43	1	no	—
226	#487	—	43	2	no	—
227	#479	—	86	2	no	—
228	#475	—	43	2	no	—
229	#474	—	43	2	no	—
230	#467	—	86	1	no	—
231	#467	—	86	1	no	—
232	#467	—	86	2	no	—
233	#465	—	86	2	no	—
234	#464	—	86	2	no	—
235	#462	—	43	2	no	—
236	#461	—	43	2	no	—
237	#446	C₂×D₄₃	1	1	yes	characteristic
238	C₈×Q₈	C₂×D₄₃	1	1	yes	characteristic
239	C₄×Q₁₆	—	86	1	no	—
240	C₄×Q₁₆	—	86	1	no	—
241	#436	C₂×D₄₃	1	1	yes	characteristic
242	#435	—	2	1	no	—
243	C₈×D₄	—	2	1	no	—
244	C₈×D₄	C₂×D₄₃	1	1	yes	characteristic
245	#433	—	2	1	no	—
246	#432	C₂×D₄₃	1	1	yes	characteristic
247	C₂×C₄⋊C₈	—	43	2	no	—
248	#405	—	2	1	no	—
249	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
250	#334	—	43	2	no	—
251	#334	—	43	1	no	—
252	#334	—	43	1	no	—
253	#332	—	43	2	no	—
254	#332	—	43	2	no	—
255	#332	—	43	2	no	—
256	#332	—	43	2	no	—
257	C₄₃	#19228	1	1	yes	characteristic, complemented, Sylow
258	C₂×Q₁₆	—	86	2	no	—
259	C₂×Q₁₆	—	86	1	no	—
260	C₂×Q₁₆	—	86	1	no	—
261	C₂×SD₁₆	—	86	2	no	—
262	C₂×M₁₆	—	2	1	no	—
263	C₂²×C₈	—	2	1	no	—
264	C₂²×C₈	—	86	2	no	—
265	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
266	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
267	C₄⋊Q₈	—	43	2	no	—
268	C₄⋊Q₈	—	43	2	no	—
269	#126	—	2	1	no	—
270	#125	—	86	2	no	—
271	#125	D₁₇₂	1	1	yes	characteristic
272	#124	D₁₇₂	1	1	yes	characteristic
273	#123	—	2	1	no	—
274	C₂²⋊Q₈	—	86	2	no	—
275	C₂²⋊Q₈	—	86	2	no	—
276	C₂²⋊Q₈	D₁₇₂	1	1	yes	characteristic
277	#121	D₁₇₂	1	1	yes	characteristic
278	C₄×Q₈	—	86	2	no	—
279	C₄×Q₈	—	86	2	no	—
280	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
281	C₄×D₄	—	2	1	no	—
282	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
283	#117	—	2	1	no	—
284	#117	—	86	2	no	—
285	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
286	#107	—	86	1	no	—
287	#107	—	86	1	no	—
288	#107	—	86	2	no	—
289	#106	—	86	2	no	—
290	C₄⋊C₈	—	2	1	no	—
291	C₄⋊C₈	—	2	1	no	—
292	C₄⋊C₈	—	43	2	no	—
293	C₄⋊C₈	—	43	2	no	—
294	C₄⋊C₈	—	86	2	no	—
295	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
296	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
297	#103	—	86	2	no	—
298	#103	—	86	2	no	—
299	#103	—	86	2	no	—
300	#103	—	86	2	no	—
301	#103	—	86	2	no	—
302	#102	—	86	2	no	—
303	C₂²⋊C₈	—	2	1	no	—
304	C₂²⋊C₈	—	2	1	no	—
305	C₂²⋊C₈	—	2	1	no	—
306	#97	—	2	1	no	—
307	#97	—	2	1	no	—
308	C₄×C₈	—	2	1	no	—
309	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
310	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
311	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
312	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
313	C₂×Q₈	—	86	2	no	—
314	C₂×Q₈	—	86	2	no	—
315	C₂×Q₈	C₂×D₁₇₂	1	1	yes	characteristic
316	C₂×D₄	—	2	1	no	—
317	C₂×D₄	C₂×D₁₇₂	1	1	yes	characteristic
318	C₂²×C₄	—	2	1	no	—
319	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
320	C₂²×C₄	#10621898	1	1	yes	characteristic
321	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
322	Q₁₆	—	344	2	no	—
323	Q₁₆	—	172	2	no	—
324	Q₁₆	—	172	2	no	—
325	SD₁₆	—	344	2	no	—
326	M₁₆	—	4	2	no	—
327	C₂×C₈	—	2	2	no	—
328	C₂×C₈	—	2	1	no	—
329	C₂×C₈	—	2	1	no	—
330	C₂×C₈	—	4	1	no	—
331	C₂×C₈	—	4	2	no	—
332	C₂×C₈	—	86	2	no	—
333	C₂×C₈	—	86	2	no	—
334	C₂×C₈	—	344	2	no	—
335	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
336	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
337	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
338	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
339	C₄⋊C₄	—	2	1	no	—
340	C₄⋊C₄	—	2	1	no	—
341	C₄⋊C₄	—	2	1	no	—
342	C₄⋊C₄	—	2	1	no	—
343	C₄⋊C₄	—	86	2	no	—
344	C₄⋊C₄	—	86	2	no	—
345	C₄⋊C₄	—	86	2	no	—
346	C₄⋊C₄	—	86	2	no	—
347	C₄⋊C₄	—	172	2	no	—
348	C₄⋊C₄	—	172	2	no	—
349	C₄⋊C₄	C₂×D₁₇₂	1	1	yes	characteristic
350	C₄⋊C₄	C₂×D₁₇₂	1	1	yes	characteristic
351	C₂²⋊C₄	—	2	1	no	—
352	C₂²⋊C₄	—	2	1	no	—
353	C₂²⋊C₄	—	2	1	no	—
354	C₂²⋊C₄	—	2	1	no	—
355	C₂²⋊C₄	—	2	1	no	—
356	C₂²⋊C₄	—	172	2	no	—
357	C₄²	—	2	1	no	—
358	C₄²	—	172	2	no	—
359	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
360	C₄²	#10621898	1	1	yes	characteristic
361	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
362	C₄²	C₂³×D₄₃	1	1	yes	characteristic
363	C₂³	—	2	1	no	—
364	C₂³	#13063299	1	1	yes	characteristic
365	Q₈	—	2	2	no	—
366	Q₈	—	172	2	no	—
367	Q₈	—	172	2	no	—
368	Q₈	—	172	2	no	—
369	Q₈	—	172	2	no	—
370	D₄	—	2	2	no	—
371	D₄	—	4	2	no	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	2	1	no	—
374	C₂×C₄	—	2	1	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	2	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	4	1	no	—
380	C₂×C₄	—	4	1	no	—
381	C₂×C₄	—	172	2	no	—
382	C₂×C₄	—	172	2	no	—
383	C₂×C₄	#13063299	1	1	yes	characteristic
384	C₂×C₄	#13063299	1	1	yes	characteristic
385	C₂×C₄	#13063299	1	1	yes	characteristic
386	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
387	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
388	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
389	C₈	—	2	1	no	—
390	C₈	—	2	1	no	—
391	C₈	—	2	1	no	—
392	C₈	—	4	1	no	—
393	C₈	—	4	1	no	—
394	C₈	—	172	2	no	—
395	C₈	—	172	2	no	—
396	C₈	#13063345	1	2	yes	—
397	C₂²	—	2	1	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	4	1	no	—
400	C₂²	—	4	1	no	—
401	C₂²	—	4	1	no	—
402	C₂²	#14583174	1	2	yes	—
403	C₂²	C₂×#13063299	1	1	yes	characteristic
404	C₄	—	2	1	no	—
405	C₄	—	2	1	no	—
406	C₄	—	2	1	no	—
407	C₄	—	2	1	no	—
408	C₄	—	4	1	no	—
409	C₄	—	4	1	no	—
410	C₄	—	4	1	no	—
411	C₄	—	344	2	no	—
412	C₄	—	344	2	no	—
413	C₄	C₂×#13063345	1	1	yes	characteristic
414	C₄	#14583697	1	1	yes	characteristic
415	C₄	#14583711	1	2	yes	—
416	C₂	—	2	2	no	—
417	C₂	—	8	1	no	—
418	C₂	#19144050	1	1	yes	characteristic
419	C₂	#19144257	1	1	yes	characteristic
420	C₂	C₂×#14583174	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063299
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#2966	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	#121×C₄₃	D₄
hypercenter	#2966	D₄₃
hypocenter	C₄₃	#19228
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2966

Complements

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

N	H ≅ G/N	type
2. #19145181	C₂	semidirect
3. #19134113	C₂	semidirect
4. #19134108	C₂	semidirect
5. #19134089	C₂	semidirect
6. #19134084	C₂	semidirect
7. #19134025	C₂	semidirect
8. #19134018	C₂	semidirect
9. C₂×#14582650	C₂	semidirect
10. #19133296	C₂	semidirect
257. C₄₃	#19228	semidirect

Maximal subgroups

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

subgroup	index
#19145932	2
#19145181	2
#19134113	2
#19134108	2
#19134089	2
#19134084	2
#19134025	2
#19134018	2
C₂×#14582650	2
#19133296	2
C₄₃×#2966	2
#19228	43