Subgroups — #25080468

Order 11008.

650 conjugacy classes of subgroups.

The subgroup lattice has 440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145175	C₂	1	1	yes	maximal, characteristic
2	#19144719	C₂	1	2	yes	maximal, complemented
3	C₈×Q₈×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134014	C₂	1	2	yes	maximal, complemented
5	#19134013	C₂	1	2	yes	maximal, complemented
6	#19133996	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133956	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133955	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133357	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133289	C₂	1	2	yes	maximal, complemented
11	C₄₃×#1676	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583450	C₂²	1	2	yes	—
13	C₄×Q₈×D₄₃	C₂²	1	1	yes	characteristic
14	#14583276	C₂²	1	1	yes	characteristic
15	#14583247	C₂²	1	2	yes	—
16	#14583214	—	2	2	no	—
17	#14583191	C₂²	1	2	yes	—
18	#14583136	—	2	1	no	—
19	#14583136	—	2	1	no	—
20	#14583100	C₂²	1	2	yes	—
21	#14583099	C₂²	1	2	yes	—
22	#14583039	—	2	2	no	—
23	Q₈×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
24	C₈×Dic₈₆	—	2	1	no	—
25	C₈×Dic₈₆	C₂²	1	1	yes	characteristic
26	#14583023	—	2	1	no	—
27	#14583023	C₂²	1	1	yes	characteristic
28	#14583002	—	2	2	no	—
29	#14582998	—	2	2	no	—
30	#14582981	—	2	1	no	—
31	#14582981	—	2	1	no	—
32	#14582955	C₂²	1	2	yes	—
33	C₄⋊C₈×D₄₃	—	2	1	no	—
34	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic
35	C₄×C₈×D₄₃	—	2	1	no	—
36	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
37	#14582652	C₂²	1	1	yes	characteristic
38	#14582649	C₂²	1	2	yes	—
39	#14582648	C₂²	1	2	yes	—
40	#14582642	C₂²	1	2	yes	—
41	#14582642	C₂²	1	2	yes	—
42	C₄₃×#500	C₂²	1	1	yes	characteristic
43	C₄₃×#477	C₂²	1	2	yes	—
44	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
45	C₄₃×#335	C₂²	1	1	yes	characteristic
46	C₄₃×#333	C₂²	1	2	yes	—
47	C₂×#10621902	—	2	2	no	—
48	C₂×Q₈×D₄₃	D₄	1	1	yes	characteristic
49	C₂×#10621873	—	2	2	no	—
50	C₂×#10621884	—	2	2	no	—
51	C₂×D₃₄₄	—	2	1	no	—
52	C₂×D₃₄₄	—	2	1	no	—
53	C₂×C₈×D₄₃	—	2	1	no	—
54	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
55	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
56	#13063322	C₂³	1	2	yes	—
57	#13063314	—	2	2	no	—
58	#13063300	—	2	2	no	—
59	#13063300	—	2	2	no	—
60	Q₈×Dic₄₃	D₄	1	1	yes	characteristic
61	C₄×Dic₈₆	—	2	1	no	—
62	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
63	#13063290	—	2	1	no	—
64	#13063290	D₄	1	1	yes	characteristic
65	#13063287	—	2	2	no	—
66	#13063287	—	2	2	no	—
67	C₄⋊C₄×D₄₃	—	2	1	no	—
68	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
69	C₄²×D₄₃	—	2	1	no	—
70	C₄²×D₄₃	C₂³	1	1	yes	characteristic
71	#13063258	—	2	2	no	—
72	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
73	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
74	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
75	Dic₄₃⋊C₈	—	2	1	no	—
76	Dic₄₃⋊C₈	—	2	1	no	—
77	Dic₄₃⋊C₈	—	2	1	no	—
78	#13063248	—	2	2	no	—
79	#13063247	—	2	2	no	—
80	#13063245	—	2	2	no	—
81	#13063245	—	2	2	no	—
82	#13063245	—	2	2	no	—
83	(C₂×D₄₃)⋊C₈	—	2	2	no	—
84	#13063235	—	2	2	no	—
85	C₄×C₄₃⋊C₈	—	2	1	no	—
86	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
87	C₈×Dic₄₃	—	2	1	no	—
88	C₈×Dic₄₃	—	2	1	no	—
89	C₈×Dic₄₃	D₄	1	1	yes	characteristic
90	C₈×Dic₄₃	D₄	1	1	yes	characteristic
91	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
92	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
93	#107×C₄₃	—	2	1	no	—
94	#107×C₄₃	—	2	1	no	—
95	#107×C₄₃	—	2	2	no	—
96	C₄⋊C₈×C₄₃	—	2	1	no	—
97	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
98	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
99	#103×C₄₃	—	2	2	no	—
100	C₄×C₈×C₄₃	—	2	1	no	—
101	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
102	C₂×Q₈×C₄₃	—	2	2	no	—
103	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
104	#10621902	—	8	4	no	—
105	Q₈×D₄₃	—	2	2	no	—
106	Q₈×D₄₃	—	2	2	no	—
107	C₂×D₁₇₂	—	2	2	no	—
108	C₂×D₁₇₂	—	2	2	no	—
109	C₂×D₁₇₂	—	2	2	no	—
110	C₂×D₁₇₂	—	4	2	no	—
111	C₂×C₄×D₄₃	—	2	1	no	—
112	C₂×C₄×D₄₃	—	2	1	no	—
113	C₂×C₄×D₄₃	—	4	2	no	—
114	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
116	C₂×C₄×D₄₃	#41	1	1	yes	characteristic
117	C₂×Dic₈₆	—	2	1	no	—
118	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₃	—	2	1	no	—
120	C₂×C₈×C₄₃	—	2	2	no	—
121	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
123	C₄⋊C₄×C₄₃	—	2	1	no	—
124	C₄⋊C₄×C₄₃	—	2	2	no	—
125	C₄⋊C₄×C₄₃	—	2	2	no	—
126	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₄₃	—	2	1	no	—
128	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
129	#10621884	—	4	4	no	—
130	(C₂×D₄₃)⋊C₄	—	4	2	no	—
131	(C₂×D₄₃)⋊C₄	—	4	2	no	—
132	C₄⋊Dic₄₃	—	2	1	no	—
133	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
134	Dic₄₃⋊C₄	—	2	1	no	—
135	Dic₄₃⋊C₄	—	2	1	no	—
136	Dic₄₃⋊C₄	—	2	1	no	—
137	C₄×Dic₄₃	—	2	1	no	—
138	C₄×Dic₄₃	—	2	1	no	—
139	C₄×Dic₄₃	—	2	1	no	—
140	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
141	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
142	C₄×Dic₄₃	#41	1	1	yes	characteristic
143	C₂×C₄₃⋊C₈	—	2	1	no	—
144	C₂×C₄₃⋊C₈	—	2	2	no	—
145	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
146	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
147	D₃₄₄	—	4	2	no	—
148	D₃₄₄	—	4	2	no	—
149	#10621873	—	4	4	no	—
150	C₈×D₄₃	—	2	2	no	—
151	C₈×D₄₃	—	4	1	no	—
152	C₈×D₄₃	—	4	2	no	—
153	C₂²×D₄₃	—	4	2	no	—
154	C₂²×D₄₃	#121	1	1	yes	characteristic
155	Q₈×C₄₃	—	2	1	no	—
156	Q₈×C₄₃	—	8	2	no	—
157	Q₈×C₄₃	#135	1	2	yes	—
158	C₂×C₄×C₄₃	—	2	1	no	—
159	C₂×C₄×C₄₃	—	2	1	no	—
160	C₂×C₄×C₄₃	—	4	2	no	—
161	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
164	C₂×Dic₄₃	—	2	1	no	—
165	C₂×Dic₄₃	—	2	1	no	—
166	C₂×Dic₄₃	#121	1	1	yes	characteristic
167	C₂×Dic₄₃	#121	1	1	yes	characteristic
168	C₂×Dic₄₃	#121	1	1	yes	characteristic
169	D₁₇₂	—	4	2	no	—
170	D₁₇₂	—	4	2	no	—
171	D₁₇₂	—	4	2	no	—
172	D₁₇₂	—	4	2	no	—
173	D₁₇₂	—	8	2	no	—
174	D₁₇₂	—	8	4	no	—
175	C₄×D₄₃	—	2	4	no	—
176	C₄×D₄₃	—	2	2	no	—
177	C₄×D₄₃	—	2	1	no	—
178	C₄×D₄₃	—	2	1	no	—
179	C₄×D₄₃	—	2	1	no	—
180	C₄×D₄₃	—	2	1	no	—
181	C₄×D₄₃	—	4	2	no	—
182	C₄×D₄₃	—	8	4	no	—
183	Dic₈₆	—	2	4	no	—
184	Dic₈₆	—	2	1	no	—
185	Dic₈₆	#135	1	2	yes	—
186	C₈×C₄₃	—	2	1	no	—
187	C₈×C₄₃	—	4	2	no	—
188	C₈×C₄₃	—	4	1	no	—
189	C₈×C₄₃	#137	1	2	yes	—
190	C₄₃⋊C₈	—	2	1	no	—
191	C₄₃⋊C₈	—	2	1	no	—
192	C₄₃⋊C₈	—	4	2	no	—
193	C₄₃⋊C₈	—	4	1	no	—
194	#19264	—	43	1	no	maximal, Sylow
195	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
196	C₂×D₄₃	—	2	1	no	—
197	C₂×D₄₃	—	2	1	no	—
198	C₂×D₄₃	—	8	2	no	—
199	C₂×D₄₃	—	8	2	no	—
200	C₂×D₄₃	—	8	2	no	—
201	C₂×D₄₃	#472	1	2	yes	—
202	C₄×C₄₃	—	2	2	no	—
203	C₄×C₄₃	—	2	1	no	—
204	C₄×C₄₃	—	4	1	no	—
205	C₄×C₄₃	—	8	2	no	—
206	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
207	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
208	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
209	C₄×C₄₃	#575	1	1	yes	characteristic
210	Dic₄₃	—	2	1	no	—
211	Dic₄₃	—	2	1	no	—
212	Dic₄₃	—	2	2	no	—
213	Dic₄₃	—	2	1	no	—
214	Dic₄₃	—	4	1	no	—
215	#3169	—	43	1	no	—
216	#3112	—	43	2	no	—
217	C₂×C₈×Q₈	—	43	1	no	—
218	#1678	—	43	2	no	—
219	#1678	—	43	2	no	—
220	#1676	—	43	1	no	—
221	#1676	D₄₃	1	1	yes	characteristic, complemented
222	#1668	—	43	1	no	—
223	#1668	—	43	1	no	—
224	#1568	—	43	1	no	—
225	#1551	—	43	2	no	—
226	C₂×C₄₃	#3037	1	1	yes	characteristic
227	C₂×C₄₃	#3050	1	1	yes	characteristic
228	C₂×C₄₃	C₂×#472	1	1	yes	characteristic
229	D₄₃	—	2	2	no	—
230	D₄₃	—	16	2	no	—
231	#532	—	43	2	no	—
232	C₂×C₄×Q₈	—	43	1	no	—
233	#500	C₂×D₄₃	1	1	yes	characteristic
234	#493	—	43	1	no	—
235	#486	—	43	2	no	—
236	#480	—	86	2	no	—
237	#477	—	43	2	no	—
238	#477	C₂×D₄₃	1	2	yes	—
239	#466	—	86	1	no	—
240	#466	—	86	1	no	—
241	#460	—	43	2	no	—
242	#460	—	43	2	no	—
243	#448	—	86	2	no	—
244	C₈×Q₈	—	43	1	no	—
245	C₈×Q₈	—	43	1	no	—
246	C₈×Q₈	—	43	1	no	—
247	C₈×Q₈	—	86	1	no	—
248	C₈×Q₈	—	86	1	no	—
249	C₈×Q₈	C₂×D₄₃	1	1	yes	characteristic
250	#440	—	86	2	no	—
251	#440	—	86	2	no	—
252	C₄×D₈	—	86	1	no	—
253	C₄×D₈	—	86	1	no	—
254	#432	—	43	2	no	—
255	C₂×C₄⋊C₈	—	43	1	no	—
256	C₂×C₄⋊C₈	—	86	1	no	—
257	C₂×C₄×C₈	—	43	1	no	—
258	C₂×C₄×C₈	—	86	1	no	—
259	#335	—	43	1	no	—
260	#335	C₂×D₄₃	1	1	yes	characteristic
261	#334	—	43	2	no	—
262	#333	—	43	2	no	—
263	#333	C₂×D₄₃	1	2	yes	—
264	#331	—	43	2	no	—
265	#331	—	43	2	no	—
266	C₄₃	#19264	1	1	yes	characteristic, complemented, Sylow
267	C₂×#41	—	86	2	no	—
268	C₂²×Q₈	—	43	1	no	—
269	C₂×SD₁₆	—	86	2	no	—
270	C₂×SD₁₆	—	86	2	no	—
271	C₂×D₈	—	86	1	no	—
272	C₂×D₈	—	86	1	no	—
273	C₂²×C₈	—	43	1	no	—
274	C₂²×C₈	—	43	1	no	—
275	C₂²×C₈	—	86	1	no	—
276	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
277	#127	—	43	2	no	—
278	#124	—	86	2	no	—
279	#121	—	86	2	no	—
280	#121	—	86	2	no	—
281	C₄×Q₈	—	43	1	no	—
282	C₄×Q₈	—	43	1	no	—
283	C₄×Q₈	—	43	1	no	—
284	C₄×Q₈	—	86	1	no	—
285	C₄×Q₈	—	86	1	no	—
286	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
287	C₄×D₄	—	86	2	no	—
288	C₄×D₄	—	86	2	no	—
289	C₂×C₄⋊C₄	—	43	1	no	—
290	C₂×C₄⋊C₄	—	86	1	no	—
291	C₂×C₄²	—	43	1	no	—
292	C₂×C₄²	—	86	1	no	—
293	#107	—	2	1	no	—
294	#107	—	2	1	no	—
295	#107	—	2	2	no	—
296	#107	—	86	2	no	—
297	C₄⋊C₈	—	2	1	no	—
298	C₄⋊C₈	—	43	1	no	—
299	C₄⋊C₈	—	43	2	no	—
300	C₄⋊C₈	—	86	1	no	—
301	C₄⋊C₈	—	86	1	no	—
302	C₄⋊C₈	—	86	1	no	—
303	C₄⋊C₈	—	86	1	no	—
304	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
305	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
306	#103	—	2	2	no	—
307	#103	—	86	2	no	—
308	#102	—	86	2	no	—
309	#102	—	86	2	no	—
310	#102	—	86	2	no	—
311	#102	—	86	2	no	—
312	C₂²⋊C₈	—	86	2	no	—
313	#97	—	86	2	no	—
314	C₄×C₈	—	2	1	no	—
315	C₄×C₈	—	43	1	no	—
316	C₄×C₈	—	43	1	no	—
317	C₄×C₈	—	43	1	no	—
318	C₄×C₈	—	86	1	no	—
319	C₄×C₈	—	86	1	no	—
320	C₄×C₈	—	86	1	no	—
321	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
322	#41	—	344	4	no	—
323	C₂×Q₈	—	2	2	no	—
324	C₂×Q₈	—	43	1	no	—
325	C₂×Q₈	—	86	1	no	—
326	C₂×Q₈	—	86	2	no	—
327	C₂×Q₈	—	86	2	no	—
328	C₂×Q₈	D₄×D₄₃	1	1	yes	characteristic
329	C₂×D₄	—	86	2	no	—
330	C₂×D₄	—	86	2	no	—
331	C₂×D₄	—	86	2	no	—
332	C₂×D₄	—	172	2	no	—
333	C₂²×C₄	—	43	1	no	—
334	C₂²×C₄	—	43	1	no	—
335	C₂²×C₄	—	43	1	no	—
336	C₂²×C₄	—	86	1	no	—
337	C₂²×C₄	—	86	1	no	—
338	C₂²×C₄	—	172	2	no	—
339	SD₁₆	—	172	4	no	—
340	SD₁₆	—	172	4	no	—
341	D₈	—	172	2	no	—
342	D₈	—	172	2	no	—
343	C₂×C₈	—	2	1	no	—
344	C₂×C₈	—	2	2	no	—
345	C₂×C₈	—	43	1	no	—
346	C₂×C₈	—	43	1	no	—
347	C₂×C₈	—	86	2	no	—
348	C₂×C₈	—	86	1	no	—
349	C₂×C₈	—	86	2	no	—
350	C₂×C₈	—	172	1	no	—
351	C₂×C₈	—	172	2	no	—
352	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
353	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
354	C₄⋊C₄	—	2	1	no	—
355	C₄⋊C₄	—	2	2	no	—
356	C₄⋊C₄	—	2	2	no	—
357	C₄⋊C₄	—	43	1	no	—
358	C₄⋊C₄	—	86	1	no	—
359	C₄⋊C₄	—	86	1	no	—
360	C₄⋊C₄	—	86	1	no	—
361	C₄⋊C₄	—	86	1	no	—
362	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
363	C₂²⋊C₄	—	172	2	no	—
364	C₂²⋊C₄	—	172	2	no	—
365	C₄²	—	2	1	no	—
366	C₄²	—	43	1	no	—
367	C₄²	—	43	1	no	—
368	C₄²	—	43	1	no	—
369	C₄²	—	86	1	no	—
370	C₄²	—	86	1	no	—
371	C₄²	—	86	1	no	—
372	C₄²	C₂³×D₄₃	1	1	yes	characteristic
373	C₂³	—	43	1	no	—
374	C₂³	—	172	2	no	—
375	Q₈	—	2	1	no	—
376	Q₈	—	8	2	no	—
377	Q₈	—	43	2	no	—
378	Q₈	—	86	4	no	—
379	Q₈	—	86	1	no	—
380	Q₈	#13063348	1	2	yes	—
381	D₄	—	344	2	no	—
382	D₄	—	344	4	no	—
383	D₄	—	172	2	no	—
384	D₄	—	172	2	no	—
385	D₄	—	172	2	no	—
386	D₄	—	172	2	no	—
387	C₂×C₄	—	2	1	no	—
388	C₂×C₄	—	2	1	no	—
389	C₂×C₄	—	4	2	no	—
390	C₂×C₄	—	43	1	no	—
391	C₂×C₄	—	43	1	no	—
392	C₂×C₄	—	43	1	no	—
393	C₂×C₄	—	86	2	no	—
394	C₂×C₄	—	86	4	no	—
395	C₂×C₄	—	86	1	no	—
396	C₂×C₄	—	86	1	no	—
397	C₂×C₄	—	86	1	no	—
398	C₂×C₄	—	86	1	no	—
399	C₂×C₄	—	86	1	no	—
400	C₂×C₄	—	86	1	no	—
401	C₂×C₄	—	344	4	no	—
402	C₂×C₄	—	172	2	no	—
403	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
404	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
405	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
406	C₈	—	2	1	no	—
407	C₈	—	4	2	no	—
408	C₈	—	4	1	no	—
409	C₈	—	86	1	no	—
410	C₈	—	86	1	no	—
411	C₈	—	172	2	no	—
412	C₈	—	172	1	no	—
413	C₈	#13063357	1	2	yes	—
414	C₂²	—	43	2	no	—
415	C₂²	—	86	1	no	—
416	C₂²	—	86	1	no	—
417	C₂²	—	344	2	no	—
418	C₂²	—	344	2	no	—
419	C₂²	—	344	2	no	—
420	C₂²	#121×D₄₃	1	1	yes	characteristic
421	C₄	—	2	1	no	—
422	C₄	—	2	2	no	—
423	C₄	—	4	1	no	—
424	C₄	—	8	2	no	—
425	C₄	—	86	1	no	—
426	C₄	—	86	1	no	—
427	C₄	—	86	1	no	—
428	C₄	—	86	2	no	—
429	C₄	—	172	1	no	—
430	C₄	#135×D₄₃	1	1	yes	characteristic
431	C₄	C₂×#13063348	1	1	yes	characteristic
432	C₄	C₂×#13063357	1	1	yes	characteristic
433	C₄	#14583698	1	1	yes	characteristic
434	C₂	—	86	2	no	—
435	C₂	—	688	2	no	—
436	C₂	#19144068	1	1	yes	characteristic
437	C₂	#19144178	1	1	yes	characteristic
438	C₂	#472×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₄₃
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1676	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	#19145175	C₂
hypercenter	#1676	D₄₃
hypocenter	C₄₃	#19264
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1676

Complements

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

N	H ≅ G/N	type
2. #19144719	C₂	semidirect
3. C₈×Q₈×D₄₃	C₂	semidirect
4. #19134014	C₂	semidirect
5. #19134013	C₂	semidirect
6. #19133996	C₂	semidirect
7. #19133956	C₂	semidirect
8. #19133955	C₂	semidirect
9. #19133357	C₂	semidirect
10. #19133289	C₂	semidirect
11. C₄₃×#1676	C₂	semidirect
221. #1676	D₄₃	semidirect
266. C₄₃	#19264	semidirect

Maximal subgroups

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

subgroup	index
#19145175	2
#19144719	2
C₈×Q₈×D₄₃	2
#19134014	2
#19134013	2
#19133996	2
#19133956	2
#19133955	2
#19133357	2
#19133289	2
C₄₃×#1676	2
#19264	43