Subgroups — #24997674

Order 11008.

714 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583273	C₂	1	1	yes	maximal, characteristic
2	C₂×#14583099	C₂	1	1	yes	maximal, characteristic
3	#19135522	C₂	1	1	yes	maximal, characteristic
4	C₂×#14582648	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×Q₈⋊(C₄₃⋊C₈)	C₂	1	1	yes	maximal, characteristic, complemented
6	#19132436	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#2567	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#10621884	—	2	2	no	—
9	C₂²×#10621884	—	2	1	no	—
10	C₂×#13063322	C₂²	1	1	yes	characteristic
11	#14583273	—	2	2	no	—
12	#14583273	—	2	2	no	—
13	#14583099	—	2	2	no	—
14	#14583099	—	2	2	no	—
15	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
16	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
17	C₂×#13063245	—	2	1	no	—
18	C₂×#13063245	—	2	2	no	—
19	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
20	#14582648	—	2	2	no	—
21	Q₈⋊(C₄₃⋊C₈)	—	2	2	no	—
22	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
23	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
24	C₄₃×#395	—	2	2	no	—
25	C₄₃×#391	—	2	1	no	—
26	C₄₃×#389	—	2	2	no	—
27	C₄₃×#384	—	2	1	no	—
28	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
29	C₂²×D₁₇₂	—	2	1	no	—
30	C₂²×D₁₇₂	—	2	1	no	—
31	C₂²×D₁₇₂	—	2	1	no	—
32	C₂×#10621884	—	2	4	no	—
33	C₂×#10621884	—	2	8	no	—
34	C₂×#10621884	—	4	8	no	—
35	C₂×#10621884	—	4	2	no	—
36	C₂×#10621884	—	4	2	no	—
37	C₂²×C₄₃⋊C₈	—	2	1	no	—
38	C₂²×C₄₃⋊C₈	—	2	1	no	—
39	C₂²×C₄₃⋊C₈	—	2	1	no	—
40	#13063322	—	2	1	no	—
41	#13063322	—	2	1	no	—
42	#13063322	—	2	1	no	—
43	#13063322	D₄	1	2	yes	—
44	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
45	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
46	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
47	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
48	#13063245	—	2	4	no	—
49	#13063245	—	4	4	no	—
50	C₄×C₄₃⋊C₈	—	2	1	no	—
51	C₄×C₄₃⋊C₈	D₄	1	2	yes	—
52	C₂²×Q₈×C₄₃	D₄	1	1	yes	characteristic
53	C₂²×Q₈×C₄₃	D₄	1	2	yes	—
54	C₄⋊Q₈×C₄₃	—	2	1	no	—
55	C₄⋊Q₈×C₄₃	—	2	1	no	—
56	C₄⋊Q₈×C₄₃	—	2	1	no	—
57	C₄⋊Q₈×C₄₃	—	2	1	no	—
58	C₄×Q₈×C₄₃	—	2	1	no	—
59	C₄×Q₈×C₄₃	—	2	1	no	—
60	C₄×Q₈×C₄₃	—	2	1	no	—
61	C₄×Q₈×C₄₃	—	2	1	no	—
62	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
63	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
64	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
65	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
66	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
67	C₂×C₄⋊C₄×C₄₃	D₄	1	2	yes	—
68	C₂×C₄²×C₄₃	—	2	1	no	—
69	C₂×C₄²×C₄₃	—	2	1	no	—
70	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
71	#95×C₄₃	—	2	4	no	—
72	#95×C₄₃	—	2	1	no	—
73	C₂³×D₄₃	—	4	1	no	—
74	C₂×Q₈×C₄₃	—	2	1	no	—
75	C₂×Q₈×C₄₃	—	2	1	no	—
76	C₂×Q₈×C₄₃	—	2	2	no	—
77	C₂×Q₈×C₄₃	—	2	1	no	—
78	C₂×Q₈×C₄₃	—	2	2	no	—
79	C₂×Q₈×C₄₃	—	2	1	no	—
80	C₂×Q₈×C₄₃	—	2	1	no	—
81	C₂×Q₈×C₄₃	—	4	4	no	—
82	C₂×Q₈×C₄₃	SD₁₆	1	2	yes	complemented
83	C₂²×C₄×C₄₃	—	2	1	no	—
84	C₂²×C₄×C₄₃	—	2	2	no	—
85	C₂²×C₄×C₄₃	—	2	2	no	—
86	C₂²×C₄×C₄₃	—	2	1	no	—
87	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
90	C₂×D₁₇₂	—	2	2	no	—
91	C₂×D₁₇₂	—	2	2	no	—
92	C₂×D₁₇₂	—	2	2	no	—
93	C₂×D₁₇₂	—	4	1	no	—
94	C₂×D₁₇₂	—	4	1	no	—
95	C₂×D₁₇₂	—	4	1	no	—
96	C₂×D₁₇₂	—	4	4	no	—
97	C₂×D₁₇₂	—	4	2	no	—
98	C₂×D₁₇₂	—	4	1	no	—
99	C₂×D₁₇₂	—	4	1	no	—
100	C₂×D₁₇₂	—	4	1	no	—
101	C₂×D₁₇₂	—	4	1	no	—
102	C₂×D₁₇₂	—	4	2	no	—
103	C₄⋊C₄×C₄₃	—	2	2	no	—
104	C₄⋊C₄×C₄₃	—	2	1	no	—
105	C₄⋊C₄×C₄₃	—	2	1	no	—
106	C₄⋊C₄×C₄₃	—	4	1	no	—
107	C₄⋊C₄×C₄₃	—	4	1	no	—
108	C₄⋊C₄×C₄₃	—	4	1	no	—
109	C₄⋊C₄×C₄₃	—	4	1	no	—
110	C₄⋊C₄×C₄₃	—	4	1	no	—
111	C₄⋊C₄×C₄₃	—	4	1	no	—
112	C₄⋊C₄×C₄₃	—	8	4	no	—
113	C₄⋊C₄×C₄₃	SD₁₆	1	4	yes	complemented
114	C₄²×C₄₃	—	4	1	no	—
115	C₄²×C₄₃	—	4	1	no	—
116	C₄²×C₄₃	—	4	1	no	—
117	C₄²×C₄₃	—	4	1	no	—
118	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₄₃	#41	1	1	yes	characteristic
122	#10621884	—	4	16	no	—
123	#10621884	—	4	8	no	—
124	C₂×C₄₃⋊C₈	—	2	4	no	—
125	C₂×C₄₃⋊C₈	—	2	2	no	—
126	C₂×C₄₃⋊C₈	—	2	2	no	—
127	C₂×C₄₃⋊C₈	—	4	1	no	—
128	C₂×C₄₃⋊C₈	—	4	1	no	—
129	C₂×C₄₃⋊C₈	—	4	1	no	—
130	C₂×C₄₃⋊C₈	—	4	2	no	—
131	C₂³×C₄₃	#120	1	1	yes	characteristic
132	C₂²×D₄₃	—	4	2	no	—
133	C₂²×D₄₃	—	8	1	no	—
134	C₂²×D₄₃	—	8	2	no	—
135	C₂²×D₄₃	—	8	1	no	—
136	C₂²×D₄₃	—	8	2	no	—
137	Q₈×C₄₃	—	2	2	no	—
138	Q₈×C₄₃	—	2	2	no	—
139	Q₈×C₄₃	—	4	4	no	—
140	Q₈×C₄₃	—	4	1	no	—
141	Q₈×C₄₃	—	4	1	no	—
142	Q₈×C₄₃	—	8	2	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	2	4	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	4	1	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	—	4	1	no	—
149	C₂×C₄×C₄₃	—	4	2	no	—
150	C₂×C₄×C₄₃	—	4	1	no	—
151	C₂×C₄×C₄₃	—	4	2	no	—
152	C₂×C₄×C₄₃	—	4	2	no	—
153	C₂×C₄×C₄₃	—	4	4	no	—
154	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
155	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
156	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
157	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
158	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
159	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
160	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
161	C₂×C₄×C₄₃	C₂×SD₁₆	1	2	yes	—
162	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
163	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
164	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
165	C₂×C₄×C₄₃	#137	1	2	yes	—
166	D₁₇₂	—	4	4	no	—
167	D₁₇₂	—	4	2	no	—
168	D₁₇₂	—	4	2	no	—
169	D₁₇₂	—	4	4	no	—
170	D₁₇₂	—	8	2	no	—
171	D₁₇₂	—	8	1	no	—
172	D₁₇₂	—	8	1	no	—
173	D₁₇₂	—	8	1	no	—
174	D₁₇₂	—	8	1	no	—
175	C₄₃⋊C₈	—	2	4	no	—
176	C₄₃⋊C₈	—	4	2	no	—
177	C₄₃⋊C₈	—	8	1	no	—
178	#10049	—	43	1	no	maximal, Sylow
179	C₂²×C₄₃	#392	1	1	yes	characteristic
180	C₂²×C₄₃	#448	1	2	yes	—
181	C₂²×C₄₃	#448	1	1	yes	characteristic
182	C₂²×C₄₃	#449	1	1	yes	characteristic
183	C₂²×C₄₃	#453	1	2	yes	—
184	C₂×D₄₃	—	8	2	no	—
185	C₂×D₄₃	—	8	2	no	—
186	C₂×D₄₃	—	8	2	no	—
187	C₂×D₄₃	—	16	2	no	—
188	C₂×D₄₃	—	16	2	no	—
189	C₄×C₄₃	—	2	1	no	—
190	C₄×C₄₃	—	2	1	no	—
191	C₄×C₄₃	—	4	4	no	—
192	C₄×C₄₃	—	4	2	no	—
193	C₄×C₄₃	—	8	1	no	—
194	C₄×C₄₃	—	8	2	no	—
195	C₄×C₄₃	#450	1	1	yes	characteristic
196	C₄×C₄₃	#452	1	1	yes	characteristic
197	C₄×C₄₃	#461	1	2	yes	—
198	C₄×C₄₃	#465	1	1	yes	characteristic
199	C₄×C₄₃	#468	1	1	yes	characteristic
200	C₄×C₄₃	#492	1	1	yes	characteristic
201	C₄×C₄₃	#497	1	1	yes	characteristic
202	C₂×#492	—	43	1	no	—
203	C₂×#460	—	43	1	no	—
204	#2567	D₄₃	1	1	yes	characteristic, complemented
205	#1982	—	43	1	no	—
206	C₂×#333	—	43	1	no	—
207	C₂×Q₈⋊C₈	—	43	1	no	—
208	#1279	—	43	1	no	—
209	C₂×C₄₃	#1622	1	2	yes	—
210	C₂×C₄₃	#1623	1	2	yes	—
211	C₂×C₄₃	#2000	1	1	yes	characteristic
212	C₂×C₄₃	#2002	1	1	yes	characteristic
213	C₂×C₄₃	#2013	1	1	yes	characteristic
214	D₄₃	—	16	2	no	—
215	C₂²×SD₁₆	—	86	2	no	—
216	C₂²×SD₁₆	—	86	1	no	—
217	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
218	C₂×#127	—	43	1	no	—
219	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic
220	#492	—	86	2	no	—
221	#492	—	86	2	no	—
222	#460	—	86	2	no	—
223	#460	—	86	2	no	—
224	C₂×C₄⋊C₈	—	43	1	no	—
225	C₂×C₄⋊C₈	—	43	1	no	—
226	C₂×#102	—	86	1	no	—
227	C₂×#102	—	86	2	no	—
228	C₂×C₄×C₈	—	43	1	no	—
229	#395	—	2	2	no	—
230	#391	—	2	1	no	—
231	#389	—	2	2	no	—
232	#384	—	2	1	no	—
233	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
234	#333	—	86	2	no	—
235	Q₈⋊C₈	—	86	2	no	—
236	C₄₃	#10049	1	1	yes	characteristic, complemented, Sylow
237	C₂²×Q₈	C₂²⋊D₄₃	1	1	yes	characteristic
238	C₂²×Q₈	C₂²⋊D₄₃	1	2	yes	—
239	C₂²×D₄	—	86	1	no	—
240	C₂²×D₄	—	86	1	no	—
241	C₂²×D₄	—	86	1	no	—
242	C₂×SD₁₆	—	86	4	no	—
243	C₂×SD₁₆	—	86	8	no	—
244	C₂×SD₁₆	—	172	8	no	—
245	C₂×SD₁₆	—	172	2	no	—
246	C₂×SD₁₆	—	172	2	no	—
247	C₂²×C₈	—	86	1	no	—
248	C₂²×C₈	—	86	1	no	—
249	C₂²×C₈	—	86	1	no	—
250	C₄⋊Q₈	—	2	1	no	—
251	C₄⋊Q₈	—	2	1	no	—
252	C₄⋊Q₈	—	2	1	no	—
253	C₄⋊Q₈	—	2	1	no	—
254	#127	—	43	2	no	—
255	#127	—	86	1	no	—
256	#127	—	86	1	no	—
257	#127	—	86	1	no	—
258	C₄×Q₈	—	2	1	no	—
259	C₄×Q₈	—	2	1	no	—
260	C₄×Q₈	—	2	1	no	—
261	C₄×Q₈	—	2	1	no	—
262	C₂×C₄⋊C₄	—	2	1	no	—
263	C₂×C₄⋊C₄	—	2	1	no	—
264	C₂×C₄⋊C₄	—	2	1	no	—
265	C₂×C₄⋊C₄	—	2	4	no	—
266	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
267	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	2	yes	—
268	C₂×C₄²	—	2	1	no	—
269	C₂×C₄²	—	2	1	no	—
270	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
271	C₄⋊C₈	—	43	2	no	—
272	C₄⋊C₈	—	86	1	no	—
273	C₄⋊C₈	—	86	1	no	—
274	C₄⋊C₈	—	86	1	no	—
275	#102	—	86	4	no	—
276	#102	—	172	4	no	—
277	C₄×C₈	—	43	2	no	—
278	C₄×C₈	—	86	1	no	—
279	#95	—	2	4	no	—
280	#95	—	2	1	no	—
281	C₂⁴	—	172	1	no	—
282	C₂×Q₈	—	2	1	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×Q₈	—	2	2	no	—
285	C₂×Q₈	—	2	1	no	—
286	C₂×Q₈	—	2	2	no	—
287	C₂×Q₈	—	2	1	no	—
288	C₂×Q₈	—	2	1	no	—
289	C₂×Q₈	—	4	4	no	—
290	C₂×Q₈	#10621884	1	2	yes	complemented
291	C₂×D₄	—	86	2	no	—
292	C₂×D₄	—	86	2	no	—
293	C₂×D₄	—	86	2	no	—
294	C₂×D₄	—	172	4	no	—
295	C₂×D₄	—	172	1	no	—
296	C₂×D₄	—	172	1	no	—
297	C₂×D₄	—	172	1	no	—
298	C₂×D₄	—	172	2	no	—
299	C₂×D₄	—	172	1	no	—
300	C₂×D₄	—	172	1	no	—
301	C₂×D₄	—	172	1	no	—
302	C₂×D₄	—	172	1	no	—
303	C₂×D₄	—	172	2	no	—
304	C₂²×C₄	—	2	1	no	—
305	C₂²×C₄	—	2	2	no	—
306	C₂²×C₄	—	2	2	no	—
307	C₂²×C₄	—	2	1	no	—
308	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
309	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
310	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
311	SD₁₆	—	172	16	no	—
312	SD₁₆	—	172	8	no	—
313	C₂×C₈	—	86	4	no	—
314	C₂×C₈	—	86	2	no	—
315	C₂×C₈	—	86	2	no	—
316	C₂×C₈	—	172	1	no	—
317	C₂×C₈	—	172	2	no	—
318	C₂×C₈	—	172	1	no	—
319	C₂×C₈	—	172	1	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	1	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	4	1	no	—
324	C₄⋊C₄	—	4	1	no	—
325	C₄⋊C₄	—	4	1	no	—
326	C₄⋊C₄	—	4	1	no	—
327	C₄⋊C₄	—	4	1	no	—
328	C₄⋊C₄	—	4	1	no	—
329	C₄⋊C₄	—	8	4	no	—
330	C₄⋊C₄	#10621884	1	4	yes	complemented
331	C₄²	—	4	1	no	—
332	C₄²	—	4	1	no	—
333	C₄²	—	4	1	no	—
334	C₄²	—	4	1	no	—
335	C₄²	D₄×D₄₃	1	1	yes	characteristic
336	C₄²	D₄×D₄₃	1	1	yes	characteristic
337	C₄²	D₄×D₄₃	1	1	yes	characteristic
338	C₄²	#10621900	1	1	yes	characteristic
339	C₂³	—	344	1	no	—
340	C₂³	—	344	2	no	—
341	C₂³	—	344	1	no	—
342	C₂³	—	344	2	no	—
343	C₂³	—	172	2	no	—
344	C₂³	#13063294	1	1	yes	characteristic
345	Q₈	—	2	2	no	—
346	Q₈	—	2	2	no	—
347	Q₈	—	4	4	no	—
348	Q₈	—	4	1	no	—
349	Q₈	—	4	1	no	—
350	Q₈	—	8	2	no	—
351	D₄	—	344	2	no	—
352	D₄	—	344	1	no	—
353	D₄	—	344	1	no	—
354	D₄	—	344	1	no	—
355	D₄	—	344	1	no	—
356	D₄	—	172	4	no	—
357	D₄	—	172	2	no	—
358	D₄	—	172	2	no	—
359	D₄	—	172	4	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	4	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	4	2	no	—
364	C₂×C₄	—	4	1	no	—
365	C₂×C₄	—	4	1	no	—
366	C₂×C₄	—	4	2	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	4	2	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	—	4	4	no	—
371	C₂×C₄	#13063293	1	1	yes	characteristic
372	C₂×C₄	#13063293	1	1	yes	characteristic
373	C₂×C₄	#13063296	1	1	yes	characteristic
374	C₂×C₄	#13063297	1	1	yes	characteristic
375	C₂×C₄	#13063297	1	1	yes	characteristic
376	C₂×C₄	#13063321	1	1	yes	characteristic
377	C₂×C₄	C₂×#10621884	1	1	yes	characteristic
378	C₂×C₄	C₂×#10621884	1	2	yes	—
379	C₂×C₄	#13063345	1	1	yes	characteristic
380	C₂×C₄	#13063350	1	1	yes	characteristic
381	C₂×C₄	#13063356	1	1	yes	characteristic
382	C₂×C₄	#13063356	1	2	yes	—
383	C₈	—	86	4	no	—
384	C₈	—	344	1	no	—
385	C₈	—	172	2	no	—
386	C₂²	—	344	2	no	—
387	C₂²	—	344	2	no	—
388	C₂²	—	344	2	no	—
389	C₂²	—	688	2	no	—
390	C₂²	—	688	2	no	—
391	C₂²	#14582807	1	1	yes	characteristic
392	C₂²	#14583038	1	1	yes	characteristic
393	C₂²	#14583038	1	2	yes	—
394	C₂²	#14583044	1	1	yes	characteristic
395	C₂²	#14583067	1	2	yes	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	4	2	no	—
399	C₄	—	4	4	no	—
400	C₄	—	8	2	no	—
401	C₄	—	8	1	no	—
402	C₄	#14583049	1	1	yes	characteristic
403	C₄	#14583059	1	1	yes	characteristic
404	C₄	#14583101	1	2	yes	—
405	C₄	#14583130	1	1	yes	characteristic
406	C₄	#14583147	1	1	yes	characteristic
407	C₄	#14583273	1	1	yes	characteristic
408	C₄	#14583291	1	1	yes	characteristic
409	C₂	—	688	2	no	—
410	C₂	#19133667	1	2	yes	—
411	C₂	#19133673	1	2	yes	—
412	C₂	#19135596	1	1	yes	characteristic
413	C₂	#19135608	1	1	yes	characteristic
414	C₂	#19135678	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13063294
commutator, cosocle	C₂×C₄²×C₄₃	C₂³
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₄₃×#2567	C₂
socle	C₂³×C₄₃	#120
prime radical	C₂×#13063322	C₂²
hypercenter	#2567	D₄₃
hypocenter	C₄₃	#10049
LCS	G ▷ C₂×C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #2567

Complements

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

N	H ≅ G/N	type
4. C₂×#14582648	C₂	semidirect
5. C₂×Q₈⋊(C₄₃⋊C₈)	C₂	semidirect
6. #19132436	C₂	semidirect
7. C₄₃×#2567	C₂	semidirect
82. C₂×Q₈×C₄₃	SD₁₆	semidirect
113. C₄⋊C₄×C₄₃	SD₁₆	semidirect
204. #2567	D₄₃	semidirect
236. C₄₃	#10049	semidirect
290. C₂×Q₈	#10621884	semidirect
330. C₄⋊C₄	#10621884	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583273	2
C₂×#14583099	2
#19135522	2
C₂×#14582648	2
C₂×Q₈⋊(C₄₃⋊C₈)	2
#19132436	2
C₄₃×#2567	2
#10049	43