Subgroups — #25155636

Order 11008.

638 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19139837	C₂	1	1	yes	maximal, characteristic
2	#19137552	C₂	1	1	yes	maximal, characteristic
3	#19136145	C₂	1	2	yes	maximal
4	#19135986	C₂	1	2	yes	maximal
5	#19135362	C₂	1	2	yes	maximal
6	#19135359	C₂	1	1	yes	maximal, characteristic
7	#19135311	C₂	1	1	yes	maximal, characteristic
8	#19135169	C₂	1	2	yes	maximal
9	#19134754	C₂	1	1	yes	maximal, characteristic
10	C₄×#13063249	C₂	1	1	yes	maximal, characteristic
11	C₄₃×#1803	C₂	1	1	yes	maximal, characteristic
12	C₂×#13063258	C₂²	1	2	yes	—
13	C₂×#13063258	C₂²	1	2	yes	—
14	C₂×#13063257	C₂²	1	2	yes	—
15	C₂×Dic₄₃⋊C₈	C₂²	1	2	yes	—
16	C₂×#13063249	C₂²	1	1	yes	characteristic
17	C₂×#13063249	C₂²	1	1	yes	characteristic
18	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
19	#14582838	—	2	2	no	—
20	#14582806	C₂²	1	2	yes	—
21	#14582798	—	2	1	no	—
22	#14582798	C₂²	1	2	yes	—
23	#14582785	—	2	2	no	—
24	#14582769	C₂²	1	1	yes	characteristic
25	#14582765	—	2	1	no	—
26	#14582764	—	2	1	no	—
27	#14582764	C₂²	1	2	yes	—
28	C₄⋊C₄×Dic₄₃	C₂²	1	2	yes	—
29	C₄×C₄⋊Dic₄₃	—	2	1	no	—
30	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
31	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
32	#14582662	C₂²	1	2	yes	—
33	#14582661	C₂²	1	1	yes	characteristic
34	#14582661	C₂²	1	1	yes	characteristic
35	#14582653	C₂²	1	2	yes	—
36	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
38	C₂×#103×C₄₃	C₂²	1	2	yes	—
39	C₄₃×#384	C₂²	1	1	yes	characteristic
40	C₄₃×#340	C₂²	1	2	yes	—
41	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
42	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
43	C₂×C₄⋊Dic₄₃	—	2	1	no	—
44	C₂×C₄⋊Dic₄₃	—	2	1	no	—
45	C₂×C₄⋊Dic₄₃	—	2	2	no	—
46	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
47	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
48	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
49	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
50	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
51	C₂×C₄×Dic₄₃	—	2	1	no	—
52	C₂×C₄×Dic₄₃	—	2	2	no	—
53	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
54	#13063258	—	2	4	no	—
55	#13063258	—	4	2	no	—
56	#13063257	—	4	2	no	—
57	Dic₄₃⋊C₈	—	2	4	no	—
58	#13063249	—	2	2	no	—
59	#13063249	—	2	2	no	—
60	C₄×C₄₃⋊C₈	—	2	2	no	—
61	C₄₃⋊#95	—	2	1	no	—
62	C₄₃⋊#95	—	2	2	no	—
63	C₄₃⋊#95	—	2	2	no	—
64	C₄₃⋊#95	—	2	2	no	—
65	C₄₃⋊#95	—	2	2	no	—
66	C₄₃⋊#95	—	2	2	no	—
67	C₄₃⋊#95	—	2	2	no	—
68	C₄₃⋊#95	D₄	1	2	yes	—
69	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
70	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
71	C₄×Q₈×C₄₃	—	2	2	no	—
72	C₄×Q₈×C₄₃	Q₈	1	4	yes	—
73	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
74	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
75	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
76	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
77	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
78	C₂×C₄²×C₄₃	—	2	1	no	—
79	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
80	C₄⋊C₈×C₄₃	—	2	2	no	—
81	#103×C₄₃	—	4	2	no	—
82	C₂×Q₈×C₄₃	—	2	1	no	—
83	C₂×Q₈×C₄₃	—	2	1	no	—
84	C₂×Q₈×C₄₃	—	2	1	no	—
85	C₂×Q₈×C₄₃	—	2	1	no	—
86	C₂×Q₈×C₄₃	—	2	1	no	—
87	C₂×Q₈×C₄₃	C₂×Q₈	1	2	yes	—
88	C₂²×C₄×C₄₃	—	2	1	no	—
89	C₂²×C₄×C₄₃	—	2	1	no	—
90	C₂²×C₄×C₄₃	—	2	2	no	—
91	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
94	C₂²×Dic₄₃	—	2	1	no	—
95	C₂²×Dic₄₃	—	2	1	no	—
96	C₂²×Dic₄₃	—	2	2	no	—
97	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
98	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
99	C₂×C₈×C₄₃	—	2	2	no	—
100	C₂×C₈×C₄₃	—	2	2	no	—
101	C₂×C₈×C₄₃	—	2	2	no	—
102	C₄⋊C₄×C₄₃	—	2	4	no	—
103	C₄⋊C₄×C₄₃	—	2	1	no	—
104	C₄⋊C₄×C₄₃	—	2	2	no	—
105	C₄⋊C₄×C₄₃	—	2	2	no	—
106	C₄⋊C₄×C₄₃	—	4	2	no	—
107	C₄⋊C₄×C₄₃	—	8	1	no	—
108	C₄⋊C₄×C₄₃	C₂×Q₈	1	2	yes	—
109	C₄²×C₄₃	—	2	4	no	—
110	C₄²×C₄₃	C₂×Q₈	1	2	yes	—
111	C₄²×C₄₃	#41	1	2	yes	—
112	C₄⋊Dic₄₃	—	2	2	no	—
113	C₄⋊Dic₄₃	—	2	2	no	—
114	C₄⋊Dic₄₃	—	2	1	no	—
115	C₄⋊Dic₄₃	—	2	1	no	—
116	C₄⋊Dic₄₃	—	2	2	no	—
117	C₄⋊Dic₄₃	—	2	1	no	—
118	C₄⋊Dic₄₃	—	2	2	no	—
119	C₄⋊Dic₄₃	—	2	1	no	—
120	C₄⋊Dic₄₃	—	4	2	no	—
121	C₄⋊Dic₄₃	—	8	2	no	—
122	C₄⋊Dic₄₃	—	8	1	no	—
123	C₄×Dic₄₃	—	2	2	no	—
124	C₄×Dic₄₃	—	2	2	no	—
125	C₄×Dic₄₃	—	4	2	no	—
126	C₄×Dic₄₃	—	8	2	no	—
127	C₂×C₄₃⋊C₈	—	2	1	no	—
128	C₂×C₄₃⋊C₈	—	2	1	no	—
129	C₂×C₄₃⋊C₈	—	2	1	no	—
130	C₂×C₄₃⋊C₈	—	2	1	no	—
131	C₂×C₄₃⋊C₈	#41	1	2	yes	—
132	C₂×C₄₃⋊C₈	#41	1	2	yes	—
133	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
134	Q₈×C₄₃	—	2	2	no	—
135	Q₈×C₄₃	—	2	2	no	—
136	Q₈×C₄₃	—	4	1	no	—
137	Q₈×C₄₃	—	4	1	no	—
138	C₂×C₄×C₄₃	—	2	1	no	—
139	C₂×C₄×C₄₃	—	2	1	no	—
140	C₂×C₄×C₄₃	—	2	2	no	—
141	C₂×C₄×C₄₃	—	2	2	no	—
142	C₂×C₄×C₄₃	—	4	1	no	—
143	C₂×C₄×C₄₃	—	4	1	no	—
144	C₂×C₄×C₄₃	—	4	1	no	—
145	C₂×C₄×C₄₃	—	4	1	no	—
146	C₂×C₄×C₄₃	—	4	2	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	C₂²⋊Q₈	1	2	yes	—
150	C₂×C₄×C₄₃	C₂²⋊Q₈	1	2	yes	—
151	C₂×C₄×C₄₃	#135	1	2	yes	—
152	C₂×C₄×C₄₃	#137	1	2	yes	—
153	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
154	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
155	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
157	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
158	C₂×C₄×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
159	C₂×Dic₄₃	—	2	2	no	—
160	C₂×Dic₄₃	—	2	2	no	—
161	C₂×Dic₄₃	—	2	2	no	—
162	C₂×Dic₄₃	—	2	2	no	—
163	C₂×Dic₄₃	—	2	2	no	—
164	C₂×Dic₄₃	—	2	2	no	—
165	C₂×Dic₄₃	—	4	1	no	—
166	C₂×Dic₄₃	—	4	2	no	—
167	C₂×Dic₄₃	—	4	1	no	—
168	C₂×Dic₄₃	—	4	2	no	—
169	C₂×Dic₄₃	—	4	1	no	—
170	C₂×Dic₄₃	—	4	1	no	—
171	C₂×Dic₄₃	—	4	2	no	—
172	C₂×Dic₄₃	—	4	1	no	—
173	C₂×Dic₄₃	—	4	1	no	—
174	C₈×C₄₃	—	4	2	no	—
175	C₄₃⋊C₈	—	2	2	no	—
176	C₄₃⋊C₈	—	2	2	no	—
177	#26093	—	43	1	no	maximal, Sylow
178	C₂²×C₄₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
179	C₂²×C₄₃	#547	1	1	yes	characteristic
180	C₂²×C₄₃	#550	1	1	yes	characteristic
181	C₂²×C₄₃	C₂×#135	1	1	yes	characteristic
182	C₂²×C₄₃	C₂×#137	1	1	yes	characteristic
183	C₂²×C₄₃	#576	1	1	yes	characteristic
184	C₂²×C₄₃	#578	1	1	yes	characteristic
185	C₄×C₄₃	—	2	2	no	—
186	C₄×C₄₃	—	4	2	no	—
187	C₄×C₄₃	—	4	2	no	—
188	C₄×C₄₃	—	8	2	no	—
189	C₄×C₄₃	#479	1	4	yes	—
190	C₄×C₄₃	#533	1	1	yes	characteristic
191	C₄×C₄₃	#544	1	1	yes	characteristic
192	C₄×C₄₃	#552	1	1	yes	characteristic
193	C₄×C₄₃	#553	1	1	yes	characteristic
194	Dic₄₃	—	4	2	no	—
195	Dic₄₃	—	4	2	no	—
196	Dic₄₃	—	8	1	no	—
197	Dic₄₃	—	8	2	no	—
198	Dic₄₃	—	8	1	no	—
199	#2571	—	43	1	no	—
200	#2355	—	43	1	no	—
201	#2097	—	43	2	no	—
202	#2068	—	43	2	no	—
203	#1949	—	43	2	no	—
204	#1948	—	43	1	no	—
205	#1939	—	43	1	no	—
206	#1918	—	43	2	no	—
207	#1845	—	43	1	no	—
208	#1803	D₄₃	1	1	yes	characteristic
209	C₄×#103	—	43	1	no	—
210	C₂×C₄₃	#2441	1	1	yes	characteristic
211	C₂×C₄₃	C₂×#479	1	1	yes	characteristic
212	C₂×C₄₃	#3083	1	1	yes	characteristic
213	C₂×C₄₃	#3342	1	1	yes	characteristic
214	C₂×C₄₃	#3357	1	1	yes	characteristic
215	C₂×C₄₃	#3396	1	1	yes	characteristic
216	C₂×C₄₃	#3398	1	1	yes	characteristic
217	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic
218	C₂×#107	—	43	2	no	—
219	C₂×#107	—	43	2	no	—
220	C₂×#106	—	43	2	no	—
221	C₂×C₄⋊C₈	—	43	2	no	—
222	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
223	C₂×#103	—	43	1	no	—
224	C₂×#103	—	43	1	no	—
225	C₂×#103	C₂×D₄₃	1	2	yes	—
226	C₂×C₄×C₈	—	43	1	no	—
227	#400	—	86	2	no	—
228	#391	—	43	2	no	—
229	#389	—	43	2	no	—
230	#389	—	86	1	no	—
231	#387	—	86	2	no	—
232	#384	—	43	1	no	—
233	#384	C₂×D₄₃	1	1	yes	characteristic
234	#382	—	43	2	no	—
235	#382	—	86	1	no	—
236	#382	—	86	1	no	—
237	C₄×C₄⋊C₄	—	43	1	no	—
238	C₄×C₄⋊C₄	—	43	2	no	—
239	C₄×C₄⋊C₄	—	43	1	no	—
240	C₄×C₄⋊C₄	—	86	1	no	—
241	#340	—	43	2	no	—
242	#340	—	43	1	no	—
243	#340	—	43	1	no	—
244	#340	C₂×D₄₃	1	2	yes	—
245	#336	—	43	2	no	—
246	C₄₃	#26093	1	1	yes	characteristic, complemented, Sylow
247	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
248	C₂²×C₈	—	43	1	no	—
249	C₂²×C₈	—	43	1	no	—
250	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
251	C₄×Q₈	—	2	2	no	—
252	C₄×Q₈	Dic₈₆	1	4	yes	—
253	C₂×C₄⋊C₄	—	2	1	no	—
254	C₂×C₄⋊C₄	—	2	1	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	—	43	1	no	—
257	C₂×C₄⋊C₄	—	43	1	no	—
258	C₂×C₄⋊C₄	—	43	1	no	—
259	C₂×C₄⋊C₄	—	43	1	no	—
260	C₂×C₄⋊C₄	—	43	2	no	—
261	C₂×C₄⋊C₄	—	86	2	no	—
262	C₂×C₄⋊C₄	—	86	1	no	—
263	C₂×C₄⋊C₄	—	86	1	no	—
264	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
265	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
266	C₂×C₄²	—	2	1	no	—
267	C₂×C₄²	—	43	2	no	—
268	C₂×C₄²	—	86	2	no	—
269	C₂×C₄²	—	86	1	no	—
270	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
271	#107	—	86	4	no	—
272	#107	—	172	2	no	—
273	#106	—	172	2	no	—
274	C₄⋊C₈	—	2	2	no	—
275	C₄⋊C₈	—	86	4	no	—
276	#103	—	4	2	no	—
277	#103	—	86	2	no	—
278	#103	—	86	2	no	—
279	C₄×C₈	—	86	2	no	—
280	#95	—	43	2	no	—
281	#95	—	86	2	no	—
282	#95	—	86	2	no	—
283	#95	—	86	2	no	—
284	#95	—	86	2	no	—
285	#95	—	86	2	no	—
286	#95	—	86	2	no	—
287	#95	—	86	1	no	—
288	C₂×Q₈	—	2	1	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×Q₈	—	2	1	no	—
291	C₂×Q₈	—	2	1	no	—
292	C₂×Q₈	—	2	1	no	—
293	C₂×Q₈	C₂×Dic₈₆	1	2	yes	—
294	C₂²×C₄	—	2	1	no	—
295	C₂²×C₄	—	2	1	no	—
296	C₂²×C₄	—	2	2	no	—
297	C₂²×C₄	—	43	2	no	—
298	C₂²×C₄	—	43	2	no	—
299	C₂²×C₄	—	86	1	no	—
300	C₂²×C₄	—	86	2	no	—
301	C₂²×C₄	—	86	1	no	—
302	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
303	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
304	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	43	2	no	—
309	C₂×C₈	—	43	2	no	—
310	C₂×C₈	—	86	1	no	—
311	C₂×C₈	—	86	1	no	—
312	C₂×C₈	—	86	1	no	—
313	C₂×C₈	—	86	1	no	—
314	C₄⋊C₄	—	2	4	no	—
315	C₄⋊C₄	—	2	1	no	—
316	C₄⋊C₄	—	2	2	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	4	2	no	—
319	C₄⋊C₄	—	8	1	no	—
320	C₄⋊C₄	—	86	2	no	—
321	C₄⋊C₄	—	86	2	no	—
322	C₄⋊C₄	—	86	1	no	—
323	C₄⋊C₄	—	86	1	no	—
324	C₄⋊C₄	—	86	2	no	—
325	C₄⋊C₄	—	86	1	no	—
326	C₄⋊C₄	—	86	2	no	—
327	C₄⋊C₄	—	86	1	no	—
328	C₄⋊C₄	—	344	1	no	—
329	C₄⋊C₄	—	344	2	no	—
330	C₄⋊C₄	—	172	2	no	—
331	C₄⋊C₄	C₂×Dic₈₆	1	2	yes	—
332	C₄²	—	2	4	no	—
333	C₄²	—	86	2	no	—
334	C₄²	—	86	2	no	—
335	C₄²	—	344	2	no	—
336	C₄²	—	172	2	no	—
337	C₄²	C₂×Dic₈₆	1	2	yes	—
338	C₄²	#10621900	1	2	yes	—
339	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
340	Q₈	—	2	2	no	—
341	Q₈	—	2	2	no	—
342	Q₈	—	4	1	no	—
343	Q₈	—	4	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	2	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	1	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	86	2	no	—
356	C₂×C₄	—	86	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	—	172	1	no	—
363	C₂×C₄	—	172	2	no	—
364	C₂×C₄	—	172	1	no	—
365	C₂×C₄	—	172	1	no	—
366	C₂×C₄	—	172	2	no	—
367	C₂×C₄	—	172	1	no	—
368	C₂×C₄	—	172	1	no	—
369	C₂×C₄	—	172	1	no	—
370	C₂×C₄	#13063302	1	2	yes	—
371	C₂×C₄	#13063302	1	2	yes	—
372	C₂×C₄	#13063346	1	2	yes	—
373	C₂×C₄	#13063357	1	2	yes	—
374	C₂×C₄	C₂²×Dic₈₆	1	1	yes	characteristic
375	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
376	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
377	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
378	C₂×C₄	#13063370	1	1	yes	characteristic
379	C₂×C₄	#13063373	1	1	yes	characteristic
380	C₈	—	4	2	no	—
381	C₈	—	86	2	no	—
382	C₈	—	86	2	no	—
383	C₂²	C₂×#13063302	1	1	yes	characteristic
384	C₂²	#14583551	1	1	yes	characteristic
385	C₂²	#14583567	1	1	yes	characteristic
386	C₂²	C₂×#13063346	1	1	yes	characteristic
387	C₂²	C₂×#13063357	1	1	yes	characteristic
388	C₂²	#14583703	1	1	yes	characteristic
389	C₂²	#14583715	1	1	yes	characteristic
390	C₄	—	2	2	no	—
391	C₄	—	4	2	no	—
392	C₄	—	4	2	no	—
393	C₄	—	8	2	no	—
394	C₄	—	344	2	no	—
395	C₄	—	344	1	no	—
396	C₄	—	344	1	no	—
397	C₄	—	172	2	no	—
398	C₄	—	172	2	no	—
399	C₄	#14583204	1	4	yes	—
400	C₄	#14583452	1	1	yes	characteristic
401	C₄	#14583530	1	1	yes	characteristic
402	C₄	#14583583	1	1	yes	characteristic
403	C₄	#14583596	1	1	yes	characteristic
404	C₂	#19138309	1	1	yes	characteristic
405	C₂	C₂×#14583204	1	1	yes	characteristic
406	C₂	#19144450	1	1	yes	characteristic
407	C₂	#19147024	1	1	yes	characteristic
408	C₂	#19147218	1	1	yes	characteristic
409	C₂	#19147606	1	1	yes	characteristic
410	C₂	#19147625	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×D₄×D₄₃
commutator, cosocle	C₂²×C₄×C₄₃	C₂⁴
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1803	C₂
socle, prime radical	C₂³×C₄₃	C₂²×D₄
hypercenter	#1803	D₄₃
hypocenter	C₄₃	#26093
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1803

Complements

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

N	H ≅ G/N	type
246. C₄₃	#26093	semidirect

Maximal subgroups

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

subgroup	index
#19139837	2
#19137552	2
#19136145	2
#19135986	2
#19135362	2
#19135359	2
#19135311	2
#19135169	2
#19134754	2
C₄×#13063249	2
C₄₃×#1803	2
#26093	43