Subgroups — #25065881

Order 11008.

588 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19143261	C₂	1	2	yes	maximal
2	#19133384	C₂	1	2	yes	maximal, complemented
3	#19133380	C₂	1	2	yes	maximal, complemented
4	#19133375	C₂	1	2	yes	maximal, complemented
5	#19133362	C₂	1	2	yes	maximal, complemented
6	#19133358	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133347	C₂	1	2	yes	maximal, complemented
8	#19133343	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#2965	C₂	1	1	yes	maximal, characteristic
10	#14582960	—	2	2	no	—
11	#14582960	—	2	2	no	—
12	#14582956	C₂²	1	2	yes	—
13	#14582956	C₂²	1	2	yes	—
14	#14582952	C₂²	1	2	yes	—
15	#14582952	C₂²	1	2	yes	—
16	#14582923	C₂²	1	2	yes	—
17	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	2	yes	—
18	#14582866	—	2	2	no	—
19	#14582855	—	2	2	no	—
20	#14582652	C₂²	1	1	yes	characteristic
21	#14582652	C₂²	1	1	yes	characteristic
22	#14582652	C₂²	1	2	yes	—
23	#14582652	C₂²	1	1	yes	characteristic
24	#14582652	C₂²	1	1	yes	characteristic
25	#14582652	C₂²	1	2	yes	—
26	#14582650	C₂²	1	2	yes	—
27	#14582650	C₂²	1	2	yes	—
28	#14582650	C₂²	1	2	yes	—
29	#14582650	C₂²	1	2	yes	—
30	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
31	C₄₃×#446	C₄	1	1	yes	characteristic
32	C₄₃×#446	C₄	1	1	yes	characteristic
33	C₄₃×#436	C₄	1	1	yes	characteristic
34	C₄₃×#436	C₄	1	1	yes	characteristic
35	C₄₃×#435	C₄	1	2	yes	—
36	C₄₃×#435	C₄	1	2	yes	—
37	C₄₃×#431	C₂²	1	1	yes	characteristic
38	C₄₃×#431	C₂²	1	2	yes	—
39	C₄×M₁₆×C₄₃	C₂²	1	2	yes	—
40	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
41	C₂×#10621877	—	2	2	no	—
42	C₂²×C₄₃⋊C₈	—	2	2	no	—
43	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
44	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
45	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
46	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
47	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
48	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
49	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
50	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
51	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
52	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
53	#13063236	—	2	2	no	—
54	#13063236	—	2	2	no	—
55	C₄×C₄₃⋊C₈	—	2	2	no	—
56	C₄×C₄₃⋊C₈	—	2	2	no	—
57	C₂×#41×C₄₃	D₄	1	1	yes	characteristic
58	C₂×M₁₆×C₄₃	C₂×C₄	1	2	yes	—
59	C₂×M₁₆×C₄₃	C₂×C₄	1	2	yes	—
60	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
61	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
62	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
63	C₄×Q₈×C₄₃	Q₈	1	1	yes	characteristic
64	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
65	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
66	C₄×D₄×C₄₃	Q₈	1	2	yes	—
67	C₄×D₄×C₄₃	Q₈	1	1	yes	characteristic
68	#117×C₄₃	D₄	1	2	yes	—
69	#117×C₄₃	D₄	1	1	yes	characteristic
70	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
71	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
72	C₄⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
73	C₄⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
74	C₄⋊C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
75	C₄⋊C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
76	C₂²⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
77	C₂²⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
78	C₂²⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
79	#97×C₄₃	C₂×C₄	1	2	yes	—
80	#97×C₄₃	C₂×C₄	1	2	yes	—
81	C₄×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
82	C₄×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
83	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
84	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
85	C₄×C₈×C₄₃	C₂³	1	2	yes	—
86	#41×C₄₃	—	4	1	no	—
87	#41×C₄₃	—	4	1	no	—
88	C₂×Q₈×C₄₃	C₄⋊C₄	1	1	yes	characteristic
89	C₂×D₄×C₄₃	C₄⋊C₄	1	2	yes	—
90	C₂×D₄×C₄₃	C₄⋊C₄	1	1	yes	characteristic
91	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
93	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₄₃	C₂×Q₈	1	2	yes	—
96	C₂²×C₄×C₄₃	C₂×Q₈	1	1	yes	characteristic
97	M₁₆×C₄₃	—	2	4	no	—
98	M₁₆×C₄₃	—	4	2	no	—
99	C₂×C₈×C₄₃	—	2	2	no	—
100	C₂×C₈×C₄₃	—	4	1	no	—
101	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
103	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
105	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
106	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
107	C₄⋊C₄×C₄₃	C₄⋊C₄	1	2	yes	—
108	C₄⋊C₄×C₄₃	C₄⋊C₄	1	1	yes	characteristic
109	C₄⋊C₄×C₄₃	C₄⋊C₄	1	2	yes	—
110	C₄⋊C₄×C₄₃	C₄⋊C₄	1	1	yes	characteristic
111	C₂²⋊C₄×C₄₃	C₄⋊C₄	1	2	yes	—
112	C₂²⋊C₄×C₄₃	C₄⋊C₄	1	2	yes	—
113	C₂²⋊C₄×C₄₃	C₄⋊C₄	1	2	yes	—
114	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
116	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₃	C₂×D₄	1	2	yes	—
118	C₄²×C₄₃	C₂×Q₈	1	2	yes	—
119	C₄²×C₄₃	C₂×Q₈	1	1	yes	characteristic
120	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
121	#10621877	—	4	4	no	—
122	C₂×C₄₃⋊C₈	—	2	2	no	—
123	C₂×C₄₃⋊C₈	—	2	2	no	—
124	C₂×C₄₃⋊C₈	—	2	2	no	—
125	C₂×C₄₃⋊C₈	—	2	2	no	—
126	C₂×C₄₃⋊C₈	—	4	4	no	—
127	C₂³×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
128	C₂³×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
129	Q₈×C₄₃	—	4	1	no	—
130	D₄×C₄₃	—	4	2	no	—
131	D₄×C₄₃	—	4	1	no	—
132	C₂×C₄×C₄₃	—	2	1	no	—
133	C₂×C₄×C₄₃	—	2	2	no	—
134	C₂×C₄×C₄₃	—	2	1	no	—
135	C₂×C₄×C₄₃	—	2	2	no	—
136	C₂×C₄×C₄₃	—	2	2	no	—
137	C₂×C₄×C₄₃	—	2	2	no	—
138	C₂×C₄×C₄₃	—	2	1	no	—
139	C₂×C₄×C₄₃	—	2	1	no	—
140	C₂×C₄×C₄₃	—	4	2	no	—
141	C₂×C₄×C₄₃	—	4	1	no	—
142	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
144	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
145	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
146	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
147	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
148	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
151	C₈×C₄₃	—	2	1	no	—
152	C₈×C₄₃	—	2	2	no	—
153	C₈×C₄₃	—	2	1	no	—
154	C₈×C₄₃	—	2	1	no	—
155	C₈×C₄₃	—	2	2	no	—
156	C₈×C₄₃	#131	1	2	yes	—
157	C₄₃⋊C₈	—	4	2	no	—
158	C₄₃⋊C₈	—	4	2	no	—
159	C₄₃⋊C₈	—	4	2	no	—
160	C₄₃⋊C₈	—	4	2	no	—
161	#17833	—	43	1	no	maximal, Sylow
162	C₂²×C₄₃	—	2	1	no	—
163	C₂²×C₄₃	—	2	2	no	—
164	C₂²×C₄₃	—	2	2	no	—
165	C₂²×C₄₃	—	2	1	no	—
166	C₂²×C₄₃	—	2	1	no	—
167	C₂²×C₄₃	—	2	2	no	—
168	C₂²×C₄₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
169	C₄×C₄₃	—	2	1	no	—
170	C₄×C₄₃	—	2	2	no	—
171	C₄×C₄₃	—	2	2	no	—
172	C₄×C₄₃	—	2	1	no	—
173	C₄×C₄₃	—	2	1	no	—
174	C₄×C₄₃	—	2	1	no	—
175	C₄×C₄₃	—	2	2	no	—
176	C₄×C₄₃	C₂×#131	1	1	yes	characteristic
177	C₄×C₄₃	#568	1	1	yes	characteristic
178	C₄×C₄₃	#575	1	1	yes	characteristic
179	C₄×C₄₃	#575	1	1	yes	characteristic
180	#2965	D₄₃	1	1	yes	characteristic
181	#2925	—	43	2	no	—
182	#1574	—	43	2	no	—
183	#1573	—	43	2	no	—
184	#1572	—	43	2	no	—
185	#1569	—	43	2	no	—
186	#1568	—	43	1	no	—
187	#1565	—	43	2	no	—
188	#1564	—	43	1	no	—
189	C₂×C₄₃	—	4	1	no	—
190	C₂×C₄₃	—	4	2	no	—
191	C₂×C₄₃	#2906	1	1	yes	characteristic
192	C₂×C₄₃	#2911	1	1	yes	characteristic
193	C₂×C₄₃	#2916	1	1	yes	characteristic
194	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
195	#446	Dic₄₃	1	1	yes	characteristic
196	#446	Dic₄₃	1	1	yes	characteristic
197	#436	Dic₄₃	1	1	yes	characteristic
198	#436	Dic₄₃	1	1	yes	characteristic
199	#435	Dic₄₃	1	2	yes	—
200	#435	Dic₄₃	1	2	yes	—
201	#433	—	86	2	no	—
202	#433	—	86	2	no	—
203	#432	—	43	2	no	—
204	#432	—	43	2	no	—
205	#431	—	43	2	no	—
206	#431	—	43	2	no	—
207	#431	C₂×D₄₃	1	1	yes	characteristic
208	#431	C₂×D₄₃	1	2	yes	—
209	#423	—	43	2	no	—
210	C₂×C₄⋊C₈	—	43	2	no	—
211	#408	—	86	2	no	—
212	#405	—	86	2	no	—
213	C₄×M₁₆	C₂×D₄₃	1	2	yes	—
214	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
215	#335	—	43	1	no	—
216	#335	—	43	1	no	—
217	#335	—	43	2	no	—
218	#335	—	43	1	no	—
219	#335	—	43	1	no	—
220	#335	—	43	2	no	—
221	#334	—	43	2	no	—
222	#334	—	43	2	no	—
223	#334	—	43	2	no	—
224	#334	—	43	2	no	—
225	C₄₃	#17833	1	1	yes	characteristic, complemented, Sylow
226	C₂×#41	D₁₇₂	1	1	yes	characteristic
227	C₂×M₁₆	—	86	2	no	—
228	C₂×M₁₆	C₂×Dic₄₃	1	2	yes	—
229	C₂×M₁₆	C₂×Dic₄₃	1	2	yes	—
230	C₂²×C₈	—	86	2	no	—
231	C₂²×C₈	C₂×Dic₄₃	1	1	yes	characteristic
232	C₂²×C₈	C₂×Dic₄₃	1	1	yes	characteristic
233	C₄×Q₈	Dic₈₆	1	1	yes	characteristic
234	C₄×Q₈	C₂×Dic₄₃	1	1	yes	characteristic
235	C₄×D₄	Dic₈₆	1	1	yes	characteristic
236	C₄×D₄	Dic₈₆	1	2	yes	—
237	C₄×D₄	C₂×Dic₄₃	1	2	yes	—
238	C₄×D₄	C₂×Dic₄₃	1	1	yes	characteristic
239	#117	D₁₇₂	1	2	yes	—
240	#117	D₁₇₂	1	1	yes	characteristic
241	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
242	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
243	C₄⋊C₈	—	43	2	no	—
244	C₄⋊C₈	—	43	2	no	—
245	C₄⋊C₈	—	43	2	no	—
246	C₄⋊C₈	—	43	2	no	—
247	C₄⋊C₈	—	86	2	no	—
248	C₄⋊C₈	—	86	2	no	—
249	C₄⋊C₈	C₂×Dic₄₃	1	2	yes	—
250	C₄⋊C₈	C₂×Dic₄₃	1	2	yes	—
251	C₄⋊C₈	C₂×Dic₄₃	1	1	yes	characteristic
252	C₄⋊C₈	C₂×Dic₄₃	1	1	yes	characteristic
253	C₂²⋊C₈	—	86	2	no	—
254	C₂²⋊C₈	—	86	2	no	—
255	C₂²⋊C₈	—	86	2	no	—
256	C₂²⋊C₈	—	86	2	no	—
257	C₂²⋊C₈	C₂×Dic₄₃	1	2	yes	—
258	C₂²⋊C₈	C₂×Dic₄₃	1	2	yes	—
259	C₂²⋊C₈	C₂×Dic₄₃	1	2	yes	—
260	#97	—	86	2	no	—
261	#97	—	86	2	no	—
262	#97	C₂×Dic₄₃	1	2	yes	—
263	#97	C₂×Dic₄₃	1	2	yes	—
264	C₄×C₈	—	86	2	no	—
265	C₄×C₈	—	86	2	no	—
266	C₄×C₈	C₂×Dic₄₃	1	1	yes	characteristic
267	C₄×C₈	C₂×Dic₄₃	1	1	yes	characteristic
268	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
269	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
270	C₄×C₈	C₂²×D₄₃	1	2	yes	—
271	#41	—	4	1	no	—
272	#41	—	4	1	no	—
273	C₂×Q₈	C₄⋊Dic₄₃	1	1	yes	characteristic
274	C₂×D₄	C₄⋊Dic₄₃	1	2	yes	—
275	C₂×D₄	C₄⋊Dic₄₃	1	1	yes	characteristic
276	C₂²×C₄	C₂×Dic₈₆	1	1	yes	characteristic
277	C₂²×C₄	C₂×Dic₈₆	1	2	yes	—
278	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
279	C₂²×C₄	C₂×D₁₇₂	1	2	yes	—
280	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
281	C₂²×C₄	C₂²×Dic₄₃	1	2	yes	—
282	M₁₆	—	2	4	no	—
283	M₁₆	—	4	2	no	—
284	M₁₆	—	172	4	no	—
285	C₂×C₈	—	2	2	no	—
286	C₂×C₈	—	4	1	no	—
287	C₂×C₈	—	86	2	no	—
288	C₂×C₈	—	86	2	no	—
289	C₂×C₈	—	86	2	no	—
290	C₂×C₈	—	86	2	no	—
291	C₂×C₈	—	172	4	no	—
292	C₂×C₈	C₂²×Dic₄₃	1	1	yes	characteristic
293	C₂×C₈	C₂²×Dic₄₃	1	1	yes	characteristic
294	C₂×C₈	C₂²×Dic₄₃	1	1	yes	characteristic
295	C₂×C₈	C₂²×Dic₄₃	1	2	yes	—
296	C₂×C₈	C₂²×Dic₄₃	1	2	yes	—
297	C₂×C₈	C₂²×Dic₄₃	1	1	yes	characteristic
298	C₄⋊C₄	C₄⋊Dic₄₃	1	2	yes	—
299	C₄⋊C₄	C₄⋊Dic₄₃	1	1	yes	characteristic
300	C₄⋊C₄	C₄⋊Dic₄₃	1	2	yes	—
301	C₄⋊C₄	C₄⋊Dic₄₃	1	1	yes	characteristic
302	C₂²⋊C₄	C₄⋊Dic₄₃	1	2	yes	—
303	C₂²⋊C₄	C₄⋊Dic₄₃	1	2	yes	—
304	C₂²⋊C₄	C₄⋊Dic₄₃	1	2	yes	—
305	C₄²	C₂×Dic₈₆	1	1	yes	characteristic
306	C₄²	C₂×Dic₈₆	1	2	yes	—
307	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
308	C₄²	C₂×D₁₇₂	1	2	yes	—
309	C₄²	C₂²×Dic₄₃	1	1	yes	characteristic
310	C₄²	C₂²×Dic₄₃	1	2	yes	—
311	C₄²	C₂³×D₄₃	1	1	yes	characteristic
312	C₂³	C₂×C₄⋊Dic₄₃	1	1	yes	characteristic
313	C₂³	C₂×C₄⋊Dic₄₃	1	2	yes	—
314	Q₈	—	4	1	no	—
315	D₄	—	4	2	no	—
316	D₄	—	4	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	C₂×C₄⋊Dic₄₃	1	1	yes	characteristic
328	C₂×C₄	C₂×C₄⋊Dic₄₃	1	2	yes	—
329	C₂×C₄	C₂×C₄⋊Dic₄₃	1	1	yes	characteristic
330	C₂×C₄	C₂×C₄⋊Dic₄₃	1	2	yes	—
331	C₂×C₄	C₂×C₄⋊Dic₄₃	1	1	yes	characteristic
332	C₂×C₄	C₂×C₄⋊Dic₄₃	1	2	yes	—
333	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
334	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
335	C₂×C₄	C₂²×Dic₈₆	1	1	yes	characteristic
336	C₈	—	2	1	no	—
337	C₈	—	2	2	no	—
338	C₈	—	2	1	no	—
339	C₈	—	2	1	no	—
340	C₈	—	2	2	no	—
341	C₈	—	172	2	no	—
342	C₈	—	172	2	no	—
343	C₈	—	172	2	no	—
344	C₈	—	172	2	no	—
345	C₈	#13063332	1	2	yes	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	2	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	2	no	—
352	C₂²	C₂²×C₄⋊Dic₄₃	1	1	yes	characteristic
353	C₄	—	2	2	no	—
354	C₄	—	2	1	no	—
355	C₄	—	2	1	no	—
356	C₄	—	2	1	no	—
357	C₄	—	2	2	no	—
358	C₄	—	2	1	no	—
359	C₄	—	2	2	no	—
360	C₄	C₂×#13063332	1	1	yes	characteristic
361	C₄	#14583666	1	1	yes	characteristic
362	C₄	#14583699	1	1	yes	characteristic
363	C₄	#14583699	1	1	yes	characteristic
364	C₂	—	4	2	no	—
365	C₂	—	4	1	no	—
366	C₂	#19143163	1	1	yes	characteristic
367	C₂	#19143185	1	1	yes	characteristic
368	C₂	#19143206	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₁₇₂
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#2965	C₂
socle	C₂²×C₄₃	C₂²×C₄⋊C₄
prime radical	C₂×#41×C₄₃	D₄
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#2965	D₄₃
hypocenter	C₄₃	#17833
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #2965

Complements

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

N	H ≅ G/N	type
2. #19133384	C₂	semidirect
3. #19133380	C₂	semidirect
4. #19133375	C₂	semidirect
5. #19133362	C₂	semidirect
6. #19133358	C₂	semidirect
7. #19133347	C₂	semidirect
8. #19133343	C₂	semidirect
225. C₄₃	#17833	semidirect

Maximal subgroups

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

subgroup	index
#19143261	2
#19133384	2
#19133380	2
#19133375	2
#19133362	2
#19133358	2
#19133347	2
#19133343	2
C₄₃×#2965	2
#17833	43