Subgroups — #29649357

Order 15616.

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	#21454951	C₂	1	1	yes	maximal, characteristic
2	#21454786	C₂	1	1	yes	maximal, characteristic
3	#21444610	C₂	1	1	yes	maximal, characteristic, complemented
4	#21444607	C₂	1	1	yes	maximal, characteristic, complemented
5	#21444600	C₂	1	2	yes	maximal, complemented
6	#21444589	C₂	1	2	yes	maximal, complemented
7	#21444587	C₂	1	2	yes	maximal, complemented
8	#21444574	C₂	1	1	yes	maximal, characteristic, complemented
9	#21444569	C₂	1	2	yes	maximal, complemented
10	#21444565	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#2990	C₂	1	1	yes	maximal, characteristic
12	#16839893	C₄	1	1	yes	characteristic
13	#16839893	C₄	1	1	yes	characteristic
14	Q₈×#92418	—	2	1	no	—
15	#16839840	—	2	1	no	—
16	#16839840	—	2	2	no	—
17	#16839840	C₄	1	1	yes	characteristic
18	#16839840	C₄	1	1	yes	characteristic
19	#16839834	C₄	1	2	yes	—
20	#16839834	C₄	1	2	yes	—
21	#16839815	C₂²	1	1	yes	characteristic
22	#16839815	C₂²	1	2	yes	—
23	#16839815	C₂²	1	1	yes	characteristic
24	#16839815	C₂²	1	2	yes	—
25	#16839786	C₂²	1	1	yes	characteristic
26	#16839786	C₂²	1	2	yes	—
27	C₄×#11758194	C₂²	1	2	yes	—
28	C₂×C₄×#92418	C₂²	1	1	yes	characteristic
29	#16839514	C₂²	1	2	yes	—
30	#16839514	C₂²	1	1	yes	characteristic
31	#16839514	C₂²	1	1	yes	characteristic
32	#16839514	C₂²	1	2	yes	—
33	#16839512	C₂²	1	2	yes	—
34	#16839512	C₂²	1	1	yes	characteristic
35	#16839512	C₂²	1	1	yes	characteristic
36	#16839512	C₂²	1	2	yes	—
37	#16839512	C₂²	1	2	yes	—
38	#16839512	C₂²	1	2	yes	—
39	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
40	C₆₁×#446	—	2	1	no	—
41	C₆₁×#435	—	2	2	no	—
42	C₈×D₄×C₆₁	—	2	1	no	—
43	C₆₁×#432	C₂²	1	2	yes	—
44	C₆₁×#431	C₂²	1	1	yes	characteristic
45	C₆₁×#423	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₈×C₆₁	C₂²	1	2	yes	—
47	C₂×#11758194	—	2	2	no	—
48	C₂×#11758194	—	2	1	no	—
49	C₂×#11758194	C₂×C₄	1	2	yes	—
50	C₂×#11758194	C₂×C₄	1	2	yes	—
51	C₂²×#92418	C₂×C₄	1	1	yes	characteristic
52	C₂²×#92418	C₂×C₄	1	1	yes	characteristic
53	C₄⋊#92418	—	2	1	no	—
54	C₄⋊#92418	—	2	2	no	—
55	C₄⋊#92418	C₂×C₄	1	2	yes	—
56	C₄⋊#92418	C₂×C₄	1	2	yes	—
57	C₄⋊#92418	C₂×C₄	1	1	yes	characteristic
58	C₄⋊#92418	C₂×C₄	1	1	yes	characteristic
59	C₄⋊#92418	C₂³	1	1	yes	characteristic
60	C₄⋊#92418	C₂³	1	2	yes	—
61	C₄⋊#92418	C₂³	1	1	yes	characteristic
62	C₂²⋊#92418	—	2	2	no	—
63	C₂²⋊#92418	—	2	1	no	—
64	C₂²⋊#92418	C₂×C₄	1	2	yes	—
65	C₂²⋊#92418	C₂×C₄	1	2	yes	—
66	C₂²⋊#92418	C₂×C₄	1	2	yes	—
67	#14519688	C₂×C₄	1	2	yes	—
68	#14519688	C₂×C₄	1	2	yes	—
69	C₄×#92418	—	2	1	no	—
70	C₄×#92418	—	2	2	no	—
71	C₄×#92418	C₂×C₄	1	1	yes	characteristic
72	C₄×#92418	C₂×C₄	1	1	yes	characteristic
73	C₄×#92418	C₂³	1	1	yes	characteristic
74	C₄×#92418	C₂³	1	1	yes	characteristic
75	C₄×#92418	C₂³	1	2	yes	—
76	C₂×#41×C₆₁	Q₈	1	1	yes	characteristic
77	C₂×M₁₆×C₆₁	—	2	1	no	—
78	C₂²×C₈×C₆₁	—	2	2	no	—
79	C₄×Q₈×C₆₁	C₂×C₄	1	1	yes	characteristic
80	C₄×Q₈×C₆₁	D₄	1	1	yes	characteristic
81	C₄×D₄×C₆₁	C₂×C₄	1	2	yes	—
82	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic
83	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
84	C₄×D₄×C₆₁	D₄	1	2	yes	—
85	#117×C₆₁	Q₈	1	1	yes	characteristic
86	#117×C₆₁	Q₈	1	2	yes	—
87	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
88	C₂×C₄²×C₆₁	C₂³	1	2	yes	—
89	C₄⋊C₈×C₆₁	—	2	2	no	—
90	C₄⋊C₈×C₆₁	—	2	1	no	—
91	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
92	C₄⋊C₈×C₆₁	C₂³	1	2	yes	—
93	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
94	C₂²⋊C₈×C₆₁	—	2	1	no	—
95	C₂²⋊C₈×C₆₁	—	2	2	no	—
96	#97×C₆₁	—	2	2	no	—
97	C₄×C₈×C₆₁	—	2	1	no	—
98	#41×C₆₁	—	4	2	no	—
99	C₂×Q₈×C₆₁	C₄⋊C₄	1	1	yes	characteristic
100	C₂×D₄×C₆₁	C₄⋊C₄	1	1	yes	characteristic
101	C₂×D₄×C₆₁	C₄⋊C₄	1	2	yes	—
102	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
103	C₂²×C₄×C₆₁	C₂²×C₄	1	2	yes	—
104	C₂²×C₄×C₆₁	C₂×D₄	1	2	yes	—
105	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
106	C₂²×C₄×C₆₁	C₂×Q₈	1	1	yes	characteristic
107	C₂²×C₄×C₆₁	C₂×Q₈	1	2	yes	—
108	M₁₆×C₆₁	—	8	1	no	—
109	C₂×C₈×C₆₁	—	2	1	no	—
110	C₂×C₈×C₆₁	—	2	1	no	—
111	C₂×C₈×C₆₁	—	2	2	no	—
112	C₂×C₈×C₆₁	—	8	2	no	—
113	C₄⋊C₄×C₆₁	C₄⋊C₄	1	2	yes	—
114	C₄⋊C₄×C₆₁	C₄⋊C₄	1	1	yes	characteristic
115	C₄⋊C₄×C₆₁	C₄⋊C₄	1	2	yes	—
116	C₄⋊C₄×C₆₁	C₄⋊C₄	1	1	yes	characteristic
117	C₂²⋊C₄×C₆₁	C₄⋊C₄	1	2	yes	—
118	C₂²⋊C₄×C₆₁	C₄⋊C₄	1	2	yes	—
119	C₂²⋊C₄×C₆₁	C₄⋊C₄	1	2	yes	—
120	C₄²×C₆₁	C₂²×C₄	1	1	yes	characteristic
121	C₄²×C₆₁	C₂²×C₄	1	2	yes	—
122	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₆₁	C₂×D₄	1	2	yes	—
124	C₄²×C₆₁	C₂×Q₈	1	1	yes	characteristic
125	C₄²×C₆₁	C₂×Q₈	1	2	yes	—
126	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
127	#11758194	—	2	4	no	—
128	#11758194	—	4	2	no	—
129	#11758194	—	8	2	no	—
130	#11758194	—	8	1	no	—
131	C₂×#92418	—	2	2	no	—
132	C₂×#92418	—	2	1	no	—
133	C₂×#92418	—	2	1	no	—
134	C₂×#92418	—	2	2	no	—
135	C₂×#92418	—	4	1	no	—
136	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
137	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
138	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
139	C₂×#92418	C₂²×C₄	1	2	yes	—
140	C₂×#92418	C₂²×C₄	1	2	yes	—
141	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
142	C₂³×C₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂³×C₆₁	C₂×C₄⋊C₄	1	2	yes	—
144	Q₈×C₆₁	—	2	2	no	—
145	D₄×C₆₁	—	2	2	no	—
146	D₄×C₆₁	—	4	2	no	—
147	C₂×C₄×C₆₁	—	2	1	no	—
148	C₂×C₄×C₆₁	—	2	2	no	—
149	C₂×C₄×C₆₁	—	2	1	no	—
150	C₂×C₄×C₆₁	—	2	2	no	—
151	C₂×C₄×C₆₁	—	2	2	no	—
152	C₂×C₄×C₆₁	—	2	1	no	—
153	C₂×C₄×C₆₁	—	2	2	no	—
154	C₂×C₄×C₆₁	—	2	1	no	—
155	C₂×C₄×C₆₁	—	2	2	no	—
156	C₂×C₄×C₆₁	—	4	2	no	—
157	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	2	yes	—
158	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
159	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	2	yes	—
160	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
161	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	2	yes	—
162	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
163	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
164	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₆₁	C₂²×Q₈	1	1	yes	characteristic
166	C₈×C₆₁	—	4	1	no	—
167	C₈×C₆₁	—	4	1	no	—
168	C₈×C₆₁	—	4	2	no	—
169	#92418	—	2	1	no	—
170	#92418	—	2	2	no	—
171	#92418	—	2	1	no	—
172	#92418	—	2	1	no	—
173	#92418	—	2	2	no	—
174	#92418	—	4	1	no	—
175	#92418	—	4	1	no	—
176	#92418	—	4	2	no	—
177	#92418	#131	1	2	yes	—
178	#17841	—	61	1	no	maximal, Sylow
179	C₂²×C₆₁	—	2	1	no	—
180	C₂²×C₆₁	—	2	2	no	—
181	C₂²×C₆₁	—	2	2	no	—
182	C₂²×C₆₁	—	2	1	no	—
183	C₂²×C₆₁	—	2	1	no	—
184	C₂²×C₆₁	—	2	2	no	—
185	C₂²×C₆₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
186	C₄×C₆₁	—	2	1	no	—
187	C₄×C₆₁	—	2	2	no	—
188	C₄×C₆₁	—	2	2	no	—
189	C₄×C₆₁	—	2	1	no	—
190	C₄×C₆₁	—	2	1	no	—
191	C₄×C₆₁	—	2	2	no	—
192	C₄×C₆₁	#430	1	2	yes	—
193	C₄×C₆₁	C₂×#131	1	1	yes	characteristic
194	C₄×C₆₁	#568	1	1	yes	characteristic
195	C₄×C₆₁	#577	1	1	yes	characteristic
196	C₄×C₆₁	#577	1	1	yes	characteristic
197	#2991	—	61	1	no	—
198	#2990	D₆₁	1	1	yes	characteristic
199	#2965	—	61	1	no	—
200	#1574	—	61	1	no	—
201	#1574	—	61	1	no	—
202	#1572	—	61	2	no	—
203	#1570	—	61	2	no	—
204	#1569	—	61	2	no	—
205	#1566	—	61	1	no	—
206	#1565	—	61	2	no	—
207	#1564	—	61	1	no	—
208	C₂×C₆₁	—	4	1	no	—
209	C₂×C₆₁	—	4	2	no	—
210	C₂×C₆₁	#2906	1	1	yes	characteristic
211	C₂×C₆₁	#2912	1	1	yes	characteristic
212	C₂×C₆₁	C₂×#430	1	1	yes	characteristic
213	C₄×#41	C₂×D₆₁	1	1	yes	characteristic
214	#446	—	2	1	no	—
215	#446	—	61	1	no	—
216	#446	—	61	1	no	—
217	C₈×Q₈	—	122	1	no	—
218	#436	—	61	1	no	—
219	#436	—	61	1	no	—
220	#436	—	122	1	no	—
221	#436	—	122	2	no	—
222	#435	—	2	2	no	—
223	#435	—	61	2	no	—
224	#435	—	61	2	no	—
225	C₈×D₄	—	2	1	no	—
226	#432	C₂×D₆₁	1	2	yes	—
227	#431	—	61	2	no	—
228	#431	—	61	1	no	—
229	#431	—	61	1	no	—
230	#431	—	61	2	no	—
231	#431	C₂×D₆₁	1	1	yes	characteristic
232	#423	—	61	1	no	—
233	#423	—	61	2	no	—
234	#423	C₂×D₆₁	1	1	yes	characteristic
235	C₂×C₄⋊C₈	C₂×D₆₁	1	2	yes	—
236	C₄×M₁₆	—	61	2	no	—
237	C₂×C₄×C₈	—	61	1	no	—
238	#335	—	61	1	no	—
239	#335	—	61	1	no	—
240	#335	—	61	2	no	—
241	#335	—	61	2	no	—
242	#334	—	61	1	no	—
243	#334	—	61	1	no	—
244	#334	—	61	2	no	—
245	#334	—	61	2	no	—
246	#334	—	61	2	no	—
247	#334	—	61	2	no	—
248	C₆₁	#17841	1	1	yes	characteristic, complemented, Sylow
249	C₂×#41	Dic₁₂₂	1	1	yes	characteristic
250	C₂×M₁₆	—	2	1	no	—
251	C₂×M₁₆	—	61	2	no	—
252	C₂×M₁₆	—	61	2	no	—
253	C₂×M₁₆	—	122	2	no	—
254	C₂×M₁₆	—	122	1	no	—
255	C₂²×C₈	—	2	2	no	—
256	C₂²×C₈	—	61	1	no	—
257	C₂²×C₈	—	61	1	no	—
258	C₄×Q₈	C₄×D₆₁	1	1	yes	characteristic
259	C₄×Q₈	C₂²⋊D₆₁	1	1	yes	characteristic
260	C₄×D₄	C₄×D₆₁	1	2	yes	—
261	C₄×D₄	C₄×D₆₁	1	1	yes	characteristic
262	C₄×D₄	C₂²⋊D₆₁	1	1	yes	characteristic
263	C₄×D₄	C₂²⋊D₆₁	1	2	yes	—
264	#117	Dic₁₂₂	1	1	yes	characteristic
265	#117	Dic₁₂₂	1	2	yes	—
266	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
267	C₂×C₄²	C₂²×D₆₁	1	2	yes	—
268	C₄⋊C₈	—	2	2	no	—
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	61	2	no	—
271	C₄⋊C₈	—	61	2	no	—
272	C₄⋊C₈	—	61	1	no	—
273	C₄⋊C₈	—	61	1	no	—
274	C₄⋊C₈	—	61	1	no	—
275	C₄⋊C₈	—	61	2	no	—
276	C₄⋊C₈	—	61	1	no	—
277	C₄⋊C₈	—	122	1	no	—
278	C₄⋊C₈	—	122	2	no	—
279	C₄⋊C₈	C₂²×D₆₁	1	1	yes	characteristic
280	C₄⋊C₈	C₂²×D₆₁	1	2	yes	—
281	C₄⋊C₈	C₂²×D₆₁	1	1	yes	characteristic
282	C₂²⋊C₈	—	2	1	no	—
283	C₂²⋊C₈	—	2	2	no	—
284	C₂²⋊C₈	—	61	2	no	—
285	C₂²⋊C₈	—	61	2	no	—
286	C₂²⋊C₈	—	61	2	no	—
287	C₂²⋊C₈	—	122	2	no	—
288	C₂²⋊C₈	—	122	1	no	—
289	#97	—	2	2	no	—
290	#97	—	61	2	no	—
291	#97	—	61	2	no	—
292	C₄×C₈	—	2	1	no	—
293	C₄×C₈	—	61	1	no	—
294	C₄×C₈	—	61	1	no	—
295	C₄×C₈	—	61	1	no	—
296	C₄×C₈	—	61	1	no	—
297	C₄×C₈	—	61	2	no	—
298	C₄×C₈	—	122	1	no	—
299	C₄×C₈	—	122	2	no	—
300	#41	—	4	2	no	—
301	C₂×Q₈	#11758196	1	1	yes	characteristic
302	C₂×D₄	#11758196	1	1	yes	characteristic
303	C₂×D₄	#11758196	1	2	yes	—
304	C₂²×C₄	C₂×Dic₁₂₂	1	1	yes	characteristic
305	C₂²×C₄	C₂×Dic₁₂₂	1	2	yes	—
306	C₂²×C₄	C₂×C₄×D₆₁	1	1	yes	characteristic
307	C₂²×C₄	C₂×C₄×D₆₁	1	2	yes	—
308	C₂²×C₄	C₂×C₂²⋊D₆₁	1	2	yes	—
309	C₂²×C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
310	M₁₆	—	8	1	no	—
311	M₁₆	—	122	4	no	—
312	M₁₆	—	488	2	no	—
313	M₁₆	—	488	1	no	—
314	M₁₆	—	244	2	no	—
315	C₂×C₈	—	2	1	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	8	2	no	—
319	C₂×C₈	—	61	1	no	—
320	C₂×C₈	—	61	1	no	—
321	C₂×C₈	—	61	1	no	—
322	C₂×C₈	—	61	1	no	—
323	C₂×C₈	—	61	2	no	—
324	C₂×C₈	—	61	2	no	—
325	C₂×C₈	—	122	2	no	—
326	C₂×C₈	—	122	1	no	—
327	C₂×C₈	—	122	1	no	—
328	C₂×C₈	—	122	2	no	—
329	C₂×C₈	—	244	1	no	—
330	C₄⋊C₄	#11758196	1	2	yes	—
331	C₄⋊C₄	#11758196	1	1	yes	characteristic
332	C₄⋊C₄	#11758196	1	2	yes	—
333	C₄⋊C₄	#11758196	1	1	yes	characteristic
334	C₂²⋊C₄	#11758196	1	2	yes	—
335	C₂²⋊C₄	#11758196	1	2	yes	—
336	C₂²⋊C₄	#11758196	1	2	yes	—
337	C₄²	C₂×Dic₁₂₂	1	1	yes	characteristic
338	C₄²	C₂×Dic₁₂₂	1	2	yes	—
339	C₄²	C₂×C₄×D₆₁	1	1	yes	characteristic
340	C₄²	C₂×C₄×D₆₁	1	2	yes	—
341	C₄²	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
342	C₄²	C₂×C₂²⋊D₆₁	1	2	yes	—
343	C₄²	C₂³×D₆₁	1	1	yes	characteristic
344	C₂³	C₂×#11758196	1	1	yes	characteristic
345	C₂³	C₂×#11758196	1	2	yes	—
346	Q₈	—	2	2	no	—
347	D₄	—	2	2	no	—
348	D₄	—	4	2	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	C₂×#11758196	1	1	yes	characteristic
360	C₂×C₄	C₂×#11758196	1	2	yes	—
361	C₂×C₄	C₂×#11758196	1	1	yes	characteristic
362	C₂×C₄	C₂×#11758196	1	2	yes	—
363	C₂×C₄	C₂×#11758196	1	2	yes	—
364	C₂×C₄	C₂×#11758196	1	1	yes	characteristic
365	C₂×C₄	C₂²×C₄×D₆₁	1	1	yes	characteristic
366	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
367	C₂×C₄	C₂²×Dic₁₂₂	1	1	yes	characteristic
368	C₈	—	4	1	no	—
369	C₈	—	4	1	no	—
370	C₈	—	4	2	no	—
371	C₈	—	61	2	no	—
372	C₈	—	122	1	no	—
373	C₈	—	122	2	no	—
374	C₈	—	122	1	no	—
375	C₈	—	122	1	no	—
376	C₈	—	122	2	no	—
377	C₈	—	244	1	no	—
378	C₈	—	244	2	no	—
379	C₈	—	244	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	2	2	no	—
382	C₂²	—	2	2	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	2	no	—
386	C₂²	C₂²×#11758196	1	1	yes	characteristic
387	C₄	—	2	1	no	—
388	C₄	—	2	2	no	—
389	C₄	—	2	2	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	2	no	—
393	C₄	#16839810	1	2	yes	—
394	C₄	#131×D₆₁	1	1	yes	characteristic
395	C₄	#16840527	1	1	yes	characteristic
396	C₄	#16840570	1	1	yes	characteristic
397	C₄	#16840573	1	1	yes	characteristic
398	C₂	—	4	1	no	—
399	C₂	—	4	2	no	—
400	C₂	#21454385	1	1	yes	characteristic
401	C₂	#21454412	1	1	yes	characteristic
402	C₂	C₂×#16839810	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₆₁
commutator	C₂×C₄×C₆₁	C₂³×C₄
Frattini	C₄²	C₂³×D₆₁
Fitting	C₆₁×#2990	C₂
socle	C₂²×C₆₁	C₂²×C₄⋊C₄
prime radical	C₂×#41×C₆₁	Q₈
cosocle	C₄²×C₆₁	C₂⁴
hypercenter	#2990	D₆₁
hypocenter	C₆₁	#17841
LCS	G ▷ C₂×C₄×C₆₁ ▷ C₂×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #2990

Complements

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

N	H ≅ G/N	type
3. #21444610	C₂	semidirect
4. #21444607	C₂	semidirect
5. #21444600	C₂	semidirect
6. #21444589	C₂	semidirect
7. #21444587	C₂	semidirect
8. #21444574	C₂	semidirect
9. #21444569	C₂	semidirect
10. #21444565	C₂	semidirect
248. C₆₁	#17841	semidirect

Maximal subgroups

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

subgroup	index
#21454951	2
#21454786	2
#21444610	2
#21444607	2
#21444600	2
#21444589	2
#21444587	2
#21444574	2
#21444569	2
#21444565	2
C₆₁×#2990	2
#17841	61