Subgroups — #25065949

Order 11008.

592 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19143724	C₂	1	1	yes	maximal, characteristic
2	#19143721	C₂	1	1	yes	maximal, characteristic
3	#19143556	C₂	1	1	yes	maximal, characteristic
4	#19133384	C₂	1	1	yes	maximal, characteristic, complemented
5	#19133374	C₂	1	2	yes	maximal, complemented
6	#19133364	C₂	1	2	yes	maximal, complemented
7	#19133359	C₂	1	2	yes	maximal, complemented
8	#19133350	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133346	C₂	1	2	yes	maximal, complemented
10	#19133341	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1574	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×#10621898	C₂²	1	1	yes	characteristic
13	#14583026	—	2	1	no	—
14	#14583026	C₄	1	1	yes	characteristic
15	#14583026	C₄	1	1	yes	characteristic
16	C₈×Dic₈₆	—	2	1	no	—
17	#14582978	—	2	1	no	—
18	#14582976	C₄	1	1	yes	characteristic
19	#14582976	C₄	1	1	yes	characteristic
20	#14582974	—	2	2	no	—
21	#14582968	—	2	2	no	—
22	#14582967	C₄	1	2	yes	—
23	#14582967	C₄	1	2	yes	—
24	#14582964	—	2	1	no	—
25	#14582955	C₂²	1	2	yes	—
26	#14582952	C₂²	1	1	yes	characteristic
27	#14582951	C₂²	1	2	yes	—
28	#14582950	C₂²	1	2	yes	—
29	#14582923	C₂²	1	1	yes	characteristic
30	#14582921	C₂²	1	2	yes	—
31	C₄⋊C₈×D₄₃	C₂²	1	2	yes	—
32	C₄×#10621872	C₂²	1	2	yes	—
33	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
34	#14582652	C₂²	1	2	yes	—
35	#14582651	C₂²	1	1	yes	characteristic
36	#14582651	C₂²	1	1	yes	characteristic
37	#14582650	C₂²	1	2	yes	—
38	#14582649	C₂²	1	1	yes	characteristic
39	#14582649	C₂²	1	1	yes	characteristic
40	#14582649	C₂²	1	2	yes	—
41	#14582649	C₂²	1	2	yes	—
42	C₄₃×#431	C₂²	1	1	yes	characteristic
43	C₄₃×#431	C₂²	1	1	yes	characteristic
44	C₄₃×#423	C₂²	1	1	yes	characteristic
45	C₄₃×#335	C₂²	1	2	yes	—
46	C₄₃×#334	C₂²	1	2	yes	—
47	C₂×#10621898	Q₈	1	1	yes	characteristic
48	C₂×#10621877	—	2	1	no	—
49	C₂×#10621872	—	2	2	no	—
50	C₂×#10621872	C₂×C₄	1	2	yes	—
51	C₂×#10621872	C₂×C₄	1	2	yes	—
52	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
53	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₄₃	—	2	2	no	—
55	C₄×Dic₈₆	C₂×C₄	1	1	yes	characteristic
56	C₄×Dic₈₆	D₄	1	1	yes	characteristic
57	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
58	C₄×D₁₇₂	D₄	1	1	yes	characteristic
59	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
60	C₄×C₂²⋊D₄₃	D₄	1	2	yes	—
61	#13063284	Q₈	1	1	yes	characteristic
62	#13063282	Q₈	1	2	yes	—
63	C₄²×D₄₃	C₂³	1	2	yes	—
64	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
65	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
66	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
67	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
68	Dic₄₃⋊C₈	—	2	2	no	—
69	Dic₄₃⋊C₈	—	2	2	no	—
70	Dic₄₃⋊C₈	C₂×C₄	1	2	yes	—
71	Dic₄₃⋊C₈	C₂×C₄	1	2	yes	—
72	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
73	(C₂×D₄₃)⋊C₈	—	2	2	no	—
74	(C₂×D₄₃)⋊C₈	—	2	2	no	—
75	(C₂×D₄₃)⋊C₈	C₂×C₄	1	2	yes	—
76	(C₂×D₄₃)⋊C₈	C₂×C₄	1	2	yes	—
77	#13063235	—	2	2	no	—
78	#13063235	C₂×C₄	1	2	yes	—
79	#13063235	C₂×C₄	1	2	yes	—
80	C₄×C₄₃⋊C₈	—	2	1	no	—
81	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
82	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
83	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
84	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
85	C₈×Dic₄₃	—	2	2	no	—
86	C₂×M₁₆×C₄₃	—	2	1	no	—
87	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₃	—	2	1	no	—
89	C₄⋊C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
90	C₄⋊C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
91	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
93	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
94	C₂²⋊C₈×C₄₃	—	2	1	no	—
95	C₂²⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
96	C₄×C₈×C₄₃	—	2	1	no	—
97	C₄×C₈×C₄₃	C₂³	1	2	yes	—
98	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₄×C₄₃	C₂×Q₈	1	1	yes	characteristic
101	C₂×C₂²⋊D₄₃	C₄⋊C₄	1	2	yes	—
102	#10621898	—	4	2	no	—
103	C₂×D₁₇₂	C₄⋊C₄	1	1	yes	characteristic
104	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
105	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
106	C₂×C₄×D₄₃	C₂×Q₈	1	2	yes	—
107	C₂×Dic₈₆	C₄⋊C₄	1	1	yes	characteristic
108	M₁₆×C₄₃	—	8	1	no	—
109	C₂×C₈×C₄₃	—	2	1	no	—
110	C₂×C₈×C₄₃	—	2	1	no	—
111	C₂×C₈×C₄₃	—	2	2	no	—
112	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
113	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
114	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₃	C₂×Q₈	1	1	yes	characteristic
117	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
118	C₂²⋊Dic₄₃	C₄⋊C₄	1	2	yes	—
119	(C₂×D₄₃)⋊C₄	C₄⋊C₄	1	2	yes	—
120	(C₂×D₄₃)⋊C₄	C₄⋊C₄	1	2	yes	—
121	C₄⋊Dic₄₃	C₄⋊C₄	1	1	yes	characteristic
122	C₄⋊Dic₄₃	C₄⋊C₄	1	1	yes	characteristic
123	Dic₄₃⋊C₄	C₄⋊C₄	1	2	yes	—
124	Dic₄₃⋊C₄	C₄⋊C₄	1	2	yes	—
125	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
126	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
127	C₄×Dic₄₃	C₂×Q₈	1	2	yes	—
128	#10621877	—	8	1	no	—
129	C₂×C₄₃⋊C₈	—	2	2	no	—
130	C₂×C₄₃⋊C₈	—	2	2	no	—
131	C₂×C₄₃⋊C₈	—	2	1	no	—
132	C₂×C₄₃⋊C₈	—	2	1	no	—
133	C₂×C₄₃⋊C₈	—	4	1	no	—
134	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
135	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
136	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
137	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
138	#10621872	—	2	4	no	—
139	#10621872	—	4	2	no	—
140	#10621872	—	8	2	no	—
141	C₈×D₄₃	—	8	2	no	—
142	C₂³×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂²×D₄₃	C₂×C₄⋊C₄	1	2	yes	—
144	C₂×C₄×C₄₃	—	2	1	no	—
145	C₂×C₄×C₄₃	—	2	1	no	—
146	C₂×C₄×C₄₃	—	2	1	no	—
147	C₂×C₄×C₄₃	—	2	1	no	—
148	C₂×C₄×C₄₃	—	2	2	no	—
149	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
151	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
152	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
155	C₂²⋊D₄₃	—	4	2	no	—
156	C₂×Dic₄₃	C₂×C₄⋊C₄	1	2	yes	—
157	C₂×Dic₄₃	C₂×C₄⋊C₄	1	2	yes	—
158	C₂×Dic₄₃	C₂×C₄⋊C₄	1	2	yes	—
159	D₁₇₂	—	2	2	no	—
160	C₄×D₄₃	—	2	2	no	—
161	C₄×D₄₃	—	2	2	no	—
162	C₄×D₄₃	—	2	2	no	—
163	C₄×D₄₃	—	2	2	no	—
164	C₄×D₄₃	—	4	2	no	—
165	Dic₈₆	—	2	2	no	—
166	C₈×C₄₃	—	2	2	no	—
167	C₈×C₄₃	—	2	2	no	—
168	C₈×C₄₃	—	4	2	no	—
169	C₈×C₄₃	—	4	1	no	—
170	C₈×C₄₃	—	4	1	no	—
171	C₄₃⋊C₈	—	2	1	no	—
172	C₄₃⋊C₈	—	2	1	no	—
173	C₄₃⋊C₈	—	2	1	no	—
174	C₄₃⋊C₈	—	4	1	no	—
175	C₄₃⋊C₈	—	4	2	no	—
176	C₄₃⋊C₈	—	4	1	no	—
177	C₄₃⋊C₈	#131	1	2	yes	—
178	#17841	—	43	1	no	maximal, Sylow
179	C₂²×C₄₃	—	2	1	no	—
180	C₂²×C₄₃	—	2	1	no	—
181	C₂²×C₄₃	—	2	1	no	—
182	C₂²×C₄₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
183	C₂×D₄₃	—	2	2	no	—
184	C₂×D₄₃	—	2	2	no	—
185	C₂×D₄₃	—	2	2	no	—
186	C₄×C₄₃	—	2	1	no	—
187	C₄×C₄₃	—	2	1	no	—
188	C₄×C₄₃	—	2	1	no	—
189	C₄×C₄₃	#430	1	2	yes	—
190	C₄×C₄₃	C₂×#131	1	1	yes	characteristic
191	C₄×C₄₃	#568	1	1	yes	characteristic
192	C₄×C₄₃	#577	1	1	yes	characteristic
193	C₄×C₄₃	#577	1	1	yes	characteristic
194	Dic₄₃	—	2	2	no	—
195	Dic₄₃	—	2	2	no	—
196	Dic₄₃	—	2	2	no	—
197	#2991	—	43	1	no	—
198	#2990	—	43	1	no	—
199	#2965	—	43	1	no	—
200	#1574	—	43	1	no	—
201	#1574	D₄₃	1	1	yes	characteristic, complemented
202	#1572	—	43	2	no	—
203	#1570	—	43	2	no	—
204	#1569	—	43	2	no	—
205	#1566	—	43	1	no	—
206	#1565	—	43	2	no	—
207	#1564	—	43	1	no	—
208	C₂×C₄₃	—	4	1	no	—
209	C₂×C₄₃	#2906	1	1	yes	characteristic
210	C₂×C₄₃	#2912	1	1	yes	characteristic
211	C₂×C₄₃	C₂×#430	1	1	yes	characteristic
212	D₄₃	—	4	2	no	—
213	C₄×#41	—	43	1	no	—
214	#446	—	43	1	no	—
215	#446	—	43	1	no	—
216	#446	—	86	1	no	—
217	C₈×Q₈	—	86	1	no	—
218	#436	—	43	1	no	—
219	#436	—	43	1	no	—
220	#436	—	86	1	no	—
221	#436	—	86	2	no	—
222	#435	—	43	2	no	—
223	#435	—	43	2	no	—
224	#435	—	86	2	no	—
225	C₈×D₄	—	86	1	no	—
226	#432	—	43	2	no	—
227	#431	—	43	2	no	—
228	#431	—	43	1	no	—
229	#431	—	43	2	no	—
230	#431	C₂×D₄₃	1	1	yes	characteristic
231	#431	C₂×D₄₃	1	1	yes	characteristic
232	#423	—	43	1	no	—
233	#423	—	43	2	no	—
234	#423	C₂×D₄₃	1	1	yes	characteristic
235	C₂×C₄⋊C₈	—	43	2	no	—
236	C₄×M₁₆	—	43	2	no	—
237	C₂×C₄×C₈	—	43	1	no	—
238	#335	—	43	1	no	—
239	#335	—	43	1	no	—
240	#335	—	43	2	no	—
241	#335	C₂×D₄₃	1	2	yes	—
242	#334	—	43	1	no	—
243	#334	—	43	1	no	—
244	#334	—	43	2	no	—
245	#334	—	43	2	no	—
246	#334	—	43	2	no	—
247	#334	C₂×D₄₃	1	2	yes	—
248	C₄₃	#17841	1	1	yes	characteristic, complemented, Sylow
249	C₂×#41	—	43	1	no	—
250	C₂×M₁₆	—	2	1	no	—
251	C₂×M₁₆	—	43	2	no	—
252	C₂×M₁₆	—	43	2	no	—
253	C₂×M₁₆	—	86	2	no	—
254	C₂×M₁₆	—	86	1	no	—
255	C₂²×C₈	—	43	1	no	—
256	C₂²×C₈	—	43	1	no	—
257	C₂²×C₈	—	86	2	no	—
258	C₄×Q₈	—	43	1	no	—
259	C₄×Q₈	—	43	1	no	—
260	C₄×D₄	—	43	2	no	—
261	C₄×D₄	—	43	2	no	—
262	C₄×D₄	—	43	1	no	—
263	C₄×D₄	—	43	1	no	—
264	#117	—	43	1	no	—
265	#117	—	43	2	no	—
266	C₂×C₄²	—	43	2	no	—
267	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
268	C₄⋊C₈	—	2	1	no	—
269	C₄⋊C₈	—	43	2	no	—
270	C₄⋊C₈	—	43	2	no	—
271	C₄⋊C₈	—	43	1	no	—
272	C₄⋊C₈	—	43	2	no	—
273	C₄⋊C₈	—	43	1	no	—
274	C₄⋊C₈	—	86	2	no	—
275	C₄⋊C₈	—	86	2	no	—
276	C₄⋊C₈	—	86	1	no	—
277	C₄⋊C₈	C₄×D₄₃	1	1	yes	characteristic
278	C₄⋊C₈	C₄×D₄₃	1	1	yes	characteristic
279	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
280	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
281	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
282	C₂²⋊C₈	—	2	1	no	—
283	C₂²⋊C₈	—	43	2	no	—
284	C₂²⋊C₈	—	43	2	no	—
285	C₂²⋊C₈	—	86	2	no	—
286	C₂²⋊C₈	—	86	2	no	—
287	C₂²⋊C₈	—	86	1	no	—
288	C₂²⋊C₈	C₄×D₄₃	1	2	yes	—
289	#97	—	43	2	no	—
290	#97	—	43	2	no	—
291	#97	—	86	2	no	—
292	C₄×C₈	—	2	1	no	—
293	C₄×C₈	—	43	1	no	—
294	C₄×C₈	—	43	1	no	—
295	C₄×C₈	—	43	1	no	—
296	C₄×C₈	—	43	1	no	—
297	C₄×C₈	—	86	2	no	—
298	C₄×C₈	—	86	1	no	—
299	C₄×C₈	C₂²×D₄₃	1	2	yes	—
300	#41	—	172	2	no	—
301	C₂×Q₈	—	43	1	no	—
302	C₂×D₄	—	43	2	no	—
303	C₂×D₄	—	43	1	no	—
304	C₂²×C₄	—	43	2	no	—
305	C₂²×C₄	—	43	2	no	—
306	C₂²×C₄	—	43	2	no	—
307	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
308	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
309	C₂²×C₄	Q₈×D₄₃	1	1	yes	characteristic
310	M₁₆	—	8	1	no	—
311	M₁₆	—	86	4	no	—
312	M₁₆	—	344	2	no	—
313	M₁₆	—	344	1	no	—
314	M₁₆	—	172	2	no	—
315	C₂×C₈	—	2	1	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	43	1	no	—
319	C₂×C₈	—	43	1	no	—
320	C₂×C₈	—	43	1	no	—
321	C₂×C₈	—	43	1	no	—
322	C₂×C₈	—	86	2	no	—
323	C₂×C₈	—	86	1	no	—
324	C₂×C₈	—	86	1	no	—
325	C₂×C₈	—	86	2	no	—
326	C₂×C₈	—	344	2	no	—
327	C₂×C₈	—	172	1	no	—
328	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
329	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
330	C₄⋊C₄	—	43	2	no	—
331	C₄⋊C₄	—	43	2	no	—
332	C₄⋊C₄	—	43	1	no	—
333	C₄⋊C₄	—	43	1	no	—
334	C₂²⋊C₄	—	43	2	no	—
335	C₂²⋊C₄	—	43	2	no	—
336	C₂²⋊C₄	—	43	2	no	—
337	C₄²	—	43	2	no	—
338	C₄²	—	43	2	no	—
339	C₄²	—	43	2	no	—
340	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
341	C₄²	D₄×D₄₃	1	1	yes	characteristic
342	C₄²	Q₈×D₄₃	1	1	yes	characteristic
343	C₄²	C₂³×D₄₃	1	1	yes	characteristic
344	C₂³	—	43	2	no	—
345	C₂³	C₄⋊C₄×D₄₃	1	1	yes	characteristic
346	Q₈	—	86	2	no	—
347	D₄	—	86	2	no	—
348	D₄	—	172	2	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	43	2	no	—
355	C₂×C₄	—	43	2	no	—
356	C₂×C₄	—	43	2	no	—
357	C₂×C₄	—	86	2	no	—
358	C₂×C₄	—	86	2	no	—
359	C₂×C₄	—	86	2	no	—
360	C₂×C₄	—	86	2	no	—
361	C₂×C₄	—	172	2	no	—
362	C₂×C₄	C₄⋊C₄×D₄₃	1	1	yes	characteristic
363	C₂×C₄	C₄⋊C₄×D₄₃	1	1	yes	characteristic
364	C₂×C₄	C₄⋊C₄×D₄₃	1	1	yes	characteristic
365	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
366	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
367	C₂×C₄	C₂×Q₈×D₄₃	1	1	yes	characteristic
368	C₈	—	2	2	no	—
369	C₈	—	2	2	no	—
370	C₈	—	4	1	no	—
371	C₈	—	4	2	no	—
372	C₈	—	4	1	no	—
373	C₈	—	43	2	no	—
374	C₈	—	86	1	no	—
375	C₈	—	86	1	no	—
376	C₈	—	86	1	no	—
377	C₈	—	172	2	no	—
378	C₈	—	172	1	no	—
379	C₈	—	172	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	86	2	no	—
384	C₂²	—	86	2	no	—
385	C₂²	—	86	2	no	—
386	C₂²	C₂×C₄⋊C₄×D₄₃	1	1	yes	characteristic
387	C₄	—	2	1	no	—
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	86	2	no	—
391	C₄	—	86	2	no	—
392	C₄	—	86	2	no	—
393	C₄	#14582946	1	2	yes	—
394	C₄	#131×D₄₃	1	1	yes	characteristic
395	C₄	#14583664	1	1	yes	characteristic
396	C₄	#14583708	1	1	yes	characteristic
397	C₄	#14583709	1	1	yes	characteristic
398	C₂	—	4	1	no	—
399	C₂	—	172	2	no	—
400	C₂	#19143162	1	1	yes	characteristic
401	C₂	#19143189	1	1	yes	characteristic
402	C₂	C₂×#14582946	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1574	C₂
socle	C₂²×C₄₃	C₂²×C₄⋊C₄
prime radical	C₂×#10621898	Q₈
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#1574	D₄₃
hypocenter	C₄₃	#17841
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1574

Complements

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

N	H ≅ G/N	type
4. #19133384	C₂	semidirect
5. #19133374	C₂	semidirect
6. #19133364	C₂	semidirect
7. #19133359	C₂	semidirect
8. #19133350	C₂	semidirect
9. #19133346	C₂	semidirect
10. #19133341	C₂	semidirect
11. C₄₃×#1574	C₂	semidirect
201. #1574	D₄₃	semidirect
248. C₄₃	#17841	semidirect

Maximal subgroups

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

subgroup	index
#19143724	2
#19143721	2
#19143556	2
#19133384	2
#19133374	2
#19133364	2
#19133359	2
#19133350	2
#19133346	2
#19133341	2
C₄₃×#1574	2
#17841	43