Subgroups — #34297012

Order 20224.

774 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19098964	C₂	1	1	yes	maximal, characteristic
2	#23765959	C₂	1	2	yes	maximal
3	#23764363	C₂	1	2	yes	maximal
4	#23764133	C₂	1	1	yes	maximal, characteristic
5	#23764125	C₂	1	2	yes	maximal
6	#23763563	C₂	1	1	yes	maximal, characteristic
7	#107×Dic₇₉	C₂	1	1	yes	maximal, characteristic
8	#107×Dic₇₉	C₂	1	1	yes	maximal, characteristic
9	#23763288	C₂	1	2	yes	maximal
10	C₄×C₈×Dic₇₉	C₂	1	1	yes	maximal, characteristic
11	C₇₉×#1942	C₂	1	1	yes	maximal, characteristic
12	C₂×#14579152	C₂²	1	2	yes	—
13	#19098964	C₄	1	8	yes	complemented
14	C₂×#14579095	C₂²	1	1	yes	characteristic
15	C₂×#14579095	C₂²	1	1	yes	characteristic
16	C₂×#14579092	C₂²	1	2	yes	—
17	C₂×#14579092	C₂²	1	2	yes	—
18	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic
20	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic
21	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic
22	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic
23	#19098461	C₂²	1	2	yes	—
24	#19098448	—	2	2	no	—
25	#19098444	—	2	2	no	—
26	#19098428	C₂²	1	2	yes	—
27	C₄⋊C₄×Dic₇₉	—	2	2	no	—
28	C₄⋊C₄×Dic₇₉	C₂²	1	2	yes	—
29	C₄⋊C₄×Dic₇₉	C₂²	1	2	yes	—
30	#19098414	—	2	2	no	—
31	C₄²×Dic₇₉	C₂²	1	1	yes	characteristic
32	#19098326	C₂²	1	2	yes	—
33	#19098325	C₂²	1	2	yes	—
34	#19098325	C₂²	1	2	yes	—
35	C₂×#107×C₇₉	C₂²	1	1	yes	characteristic
36	C₂×#107×C₇₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
38	#389×C₇₉	C₂²	1	2	yes	—
39	#340×C₇₉	C₂²	1	2	yes	—
40	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
41	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
42	#14579152	—	2	4	no	—
43	#14579152	C₂×C₄	1	8	yes	—
44	C₂×C₄⋊Dic₇₉	—	2	2	no	—
45	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
46	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
47	C₂×Dic₇₉⋊C₄	—	2	2	no	—
48	C₂×Dic₇₉⋊C₄	—	2	2	no	—
49	C₂×C₄×Dic₇₉	—	2	2	no	—
50	C₂×C₄×Dic₇₉	—	2	2	no	—
51	C₂×C₄×Dic₇₉	D₄	1	1	yes	characteristic
52	C₂×C₄×Dic₇₉	D₄	1	1	yes	characteristic
53	C₂×C₄×Dic₇₉	D₄	1	1	yes	characteristic
54	C₂×C₄×Dic₇₉	D₄	1	1	yes	characteristic
55	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
56	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
57	#14579095	—	2	2	no	—
58	#14579095	C₂×C₄	1	4	yes	—
59	#14579092	—	2	4	no	—
60	#14579092	C₂×C₄	1	8	yes	—
61	C₄×C₇₉⋊C₈	—	2	2	no	—
62	C₈×Dic₇₉	—	2	2	no	—
63	C₈×Dic₇₉	C₂×C₄	1	4	yes	—
64	C₈×Dic₇₉	Q₈	1	4	yes	—
65	C₈×Dic₇₉	Q₈	1	4	yes	—
66	C₇₉⋊#95	—	2	2	no	—
67	C₇₉⋊#95	—	2	2	no	—
68	C₇₉⋊#95	—	2	2	no	—
69	C₇₉⋊#95	—	2	2	no	—
70	C₇₉⋊#95	—	2	2	no	—
71	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
72	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
73	C₂×C₄⋊C₄×C₇₉	—	2	2	no	—
74	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
75	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
76	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
77	#107×C₇₉	—	2	2	no	—
78	#107×C₇₉	C₂×C₄	1	4	yes	—
79	C₄×C₈×C₇₉	—	2	2	no	—
80	#95×C₇₉	—	2	2	no	—
81	C₂²×Dic₇₉	—	2	2	no	—
82	C₂²×Dic₇₉	—	2	2	no	—
83	C₂²×Dic₇₉	C₂×D₄	1	1	yes	characteristic
84	C₂²×Dic₇₉	C₂×D₄	1	1	yes	characteristic
85	C₂²×Dic₇₉	C₂×D₄	1	1	yes	characteristic
86	C₂²×Dic₇₉	C₂×D₄	1	1	yes	characteristic
87	C₂×C₇₉⋊C₈	—	2	1	no	—
88	C₂×C₇₉⋊C₈	—	2	1	no	—
89	C₂×C₇₉⋊C₈	C₂²×C₄	1	2	yes	—
90	C₂×C₇₉⋊C₈	C₂×Q₈	1	2	yes	—
91	C₂×C₇₉⋊C₈	C₂×Q₈	1	2	yes	—
92	C₂×C₇₉⋊C₈	#41	1	2	yes	—
93	C₄⋊Dic₇₉	—	2	8	no	—
94	C₄⋊Dic₇₉	—	2	2	no	—
95	C₄⋊Dic₇₉	—	2	2	no	—
96	C₄⋊Dic₇₉	—	2	2	no	—
97	C₄⋊Dic₇₉	C₂²×C₄	1	4	yes	—
98	Dic₇₉⋊C₄	—	2	8	no	—
99	Dic₇₉⋊C₄	—	4	4	no	—
100	C₄×Dic₇₉	—	2	2	no	—
101	C₄×Dic₇₉	—	2	2	no	—
102	C₄×Dic₇₉	—	2	2	no	—
103	C₄×Dic₇₉	—	2	2	no	—
104	C₄×Dic₇₉	—	4	4	no	—
105	C₄×Dic₇₉	—	4	4	no	—
106	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
107	C₄×Dic₇₉	C₂×Q₈	1	2	yes	—
108	C₄×Dic₇₉	C₂×Q₈	1	2	yes	—
109	C₄×Dic₇₉	#41	1	2	yes	—
110	C₂²×C₄×C₇₉	—	2	2	no	—
111	C₂²×C₄×C₇₉	—	2	2	no	—
112	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
114	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
115	C₂×C₈×C₇₉	—	2	1	no	—
116	C₂×C₈×C₇₉	—	2	1	no	—
117	C₂×C₈×C₇₉	C₂²×C₄	1	2	yes	—
118	C₂×C₈×C₇₉	C₂×Q₈	1	2	yes	—
119	C₂×C₈×C₇₉	C₂×Q₈	1	2	yes	—
120	C₂×C₈×C₇₉	#41	1	2	yes	—
121	C₄⋊C₄×C₇₉	—	2	2	no	—
122	C₄⋊C₄×C₇₉	—	2	2	no	—
123	C₄⋊C₄×C₇₉	—	2	2	no	—
124	C₄⋊C₄×C₇₉	—	4	4	no	—
125	C₄⋊C₄×C₇₉	C₂²×C₄	1	4	yes	—
126	C₄²×C₇₉	—	2	1	no	—
127	C₄²×C₇₉	—	2	1	no	—
128	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
129	C₂×C₄×C₇₉	—	2	1	no	—
130	C₂×C₄×C₇₉	—	2	1	no	—
131	C₂×C₄×C₇₉	—	2	1	no	—
132	C₂×C₄×C₇₉	—	2	1	no	—
133	C₂×C₄×C₇₉	—	2	4	no	—
134	C₂×C₄×C₇₉	—	4	2	no	—
135	C₂×C₄×C₇₉	—	4	2	no	—
136	C₂×C₄×C₇₉	—	4	2	no	—
137	C₂×C₄×C₇₉	—	4	2	no	—
138	C₂×C₄×C₇₉	—	4	2	no	—
139	C₂×C₄×C₇₉	#135	1	2	yes	—
140	C₂×C₄×C₇₉	#135	1	2	yes	—
141	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
142	C₂×C₄×C₇₉	C₂²×Q₈	1	1	yes	characteristic
143	C₂×C₄×C₇₉	C₂²×Q₈	1	1	yes	characteristic
144	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
145	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
146	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
147	C₂×Dic₇₉	—	2	1	no	—
148	C₂×Dic₇₉	—	2	1	no	—
149	C₂×Dic₇₉	—	2	1	no	—
150	C₂×Dic₇₉	—	2	1	no	—
151	C₂×Dic₇₉	—	2	1	no	—
152	C₂×Dic₇₉	—	2	1	no	—
153	C₂×Dic₇₉	—	2	4	no	—
154	C₂×Dic₇₉	—	4	2	no	—
155	C₂×Dic₇₉	—	4	2	no	—
156	C₂×Dic₇₉	—	4	2	no	—
157	C₂×Dic₇₉	—	4	2	no	—
158	C₂×Dic₇₉	—	4	2	no	—
159	C₂×Dic₇₉	C₄×D₄	1	2	yes	—
160	C₂×Dic₇₉	C₄×D₄	1	2	yes	—
161	C₂×Dic₇₉	C₄⋊Q₈	1	2	yes	—
162	C₂×Dic₇₉	C₄⋊Q₈	1	2	yes	—
163	C₂×Dic₇₉	#135	1	2	yes	—
164	C₂×Dic₇₉	#135	1	2	yes	—
165	C₈×C₇₉	—	2	2	no	—
166	C₈×C₇₉	C₄×Q₈	1	4	yes	—
167	C₇₉⋊C₈	—	2	2	no	—
168	C₇₉⋊C₈	C₄×Q₈	1	4	yes	—
169	C₂²×C₇₉	C₂×C₄×D₄	1	1	yes	characteristic
170	C₂²×C₇₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
171	C₂²×C₇₉	#532	1	1	yes	characteristic
172	C₂²×C₇₉	C₂×#135	1	1	yes	characteristic
173	C₂²×C₇₉	C₂×#135	1	1	yes	characteristic
174	C₂²×C₇₉	C₂×#135	1	1	yes	characteristic
175	C₂²×C₇₉	C₂×#135	1	1	yes	characteristic
176	C₄×C₇₉	—	2	2	no	—
177	C₄×C₇₉	—	2	2	no	—
178	C₄×C₇₉	—	4	4	no	—
179	C₄×C₇₉	—	8	2	no	—
180	C₄×C₇₉	C₂×C₄×Q₈	1	1	yes	characteristic
181	C₄×C₇₉	C₂×C₄×Q₈	1	1	yes	characteristic
182	C₄×C₇₉	#533	1	1	yes	characteristic
183	C₄×C₇₉	#533	1	1	yes	characteristic
184	Dic₇₉	—	2	2	no	—
185	Dic₇₉	—	2	2	no	—
186	Dic₇₉	—	2	2	no	—
187	Dic₇₉	—	4	4	no	—
188	Dic₇₉	—	8	2	no	—
189	Dic₇₉	#499	1	4	yes	complemented
190	C₄×#499	—	79	1	no	maximal, Sylow
191	C₂×C₇₉	C₄×C₄⋊Q₈	1	1	yes	characteristic
192	C₂×C₇₉	C₄×#135	1	1	yes	characteristic
193	C₂×C₇₉	C₄×#135	1	1	yes	characteristic
194	C₂×C₇₉	C₂×#499	1	1	yes	characteristic
195	C₂×C₇₉	#3160	1	1	yes	characteristic
196	C₂×C₇₉	#3168	1	1	yes	characteristic
197	C₂×C₇₉	#3168	1	1	yes	characteristic
198	C₂×#499	—	79	1	no	—
199	C₄×#125	—	79	2	no	—
200	#1991	—	79	2	no	—
201	#1942	—	79	1	no	—
202	#1942	D₇₉	1	1	yes	characteristic
203	#1941	—	79	2	no	—
204	#1846	—	79	1	no	—
205	C₄×#107	—	79	1	no	—
206	C₄×#107	—	79	1	no	—
207	C₄×#106	—	79	2	no	—
208	C₄²×C₈	—	79	1	no	—
209	C₇₉	C₄×#499	1	1	yes	characteristic, complemented, Sylow
210	C₂×#125	—	79	2	no	—
211	#499	—	79	8	no	—
212	C₂×#107	—	79	1	no	—
213	C₂×#107	—	79	1	no	—
214	C₂×#107	C₂×D₇₉	1	1	yes	characteristic
215	C₂×#107	C₂×D₇₉	1	1	yes	characteristic
216	C₂×#106	—	79	2	no	—
217	C₂×#106	—	79	2	no	—
218	C₂×C₄×C₈	—	79	1	no	—
219	C₂×C₄×C₈	—	79	1	no	—
220	C₂×C₄×C₈	—	79	1	no	—
221	C₂×C₄×C₈	—	79	1	no	—
222	C₂×C₄×C₈	—	79	1	no	—
223	C₂×C₄×C₈	C₂×D₇₉	1	1	yes	characteristic
224	#389	—	79	2	no	—
225	#389	C₂×D₇₉	1	2	yes	—
226	#387	—	158	2	no	—
227	#387	—	158	2	no	—
228	#382	—	79	2	no	—
229	C₄×C₄⋊C₄	—	79	2	no	—
230	C₄×C₄⋊C₄	—	79	2	no	—
231	C₄×C₄⋊C₄	—	158	2	no	—
232	C₄×C₄⋊C₄	—	158	2	no	—
233	C₄³	—	79	1	no	—
234	#340	—	79	2	no	—
235	#340	—	79	2	no	—
236	#340	—	79	2	no	—
237	#340	C₂×D₇₉	1	2	yes	—
238	C₂²×C₈	—	79	1	no	—
239	C₂²×C₈	—	79	1	no	—
240	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
241	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
242	#125	—	79	8	no	—
243	#125	—	158	4	no	—
244	C₂×C₄⋊C₄	—	2	2	no	—
245	C₂×C₄⋊C₄	—	79	2	no	—
246	C₂×C₄⋊C₄	—	79	2	no	—
247	C₂×C₄⋊C₄	—	158	2	no	—
248	C₂×C₄⋊C₄	—	158	2	no	—
249	C₂×C₄⋊C₄	—	158	2	no	—
250	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
251	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
252	C₂×C₄²	—	79	1	no	—
253	C₂×C₄²	—	79	1	no	—
254	C₂×C₄²	—	79	1	no	—
255	C₂×C₄²	—	79	1	no	—
256	C₂×C₄²	—	79	1	no	—
257	C₂×C₄²	—	79	1	no	—
258	C₂×C₄²	—	158	2	no	—
259	C₂×C₄²	—	158	2	no	—
260	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
261	#107	—	2	2	no	—
262	#107	—	79	4	no	—
263	#107	—	158	2	no	—
264	#107	C₄×D₇₉	1	4	yes	—
265	#106	—	79	8	no	—
266	#106	—	158	4	no	—
267	C₄×C₈	—	2	2	no	—
268	C₄×C₈	—	79	4	no	—
269	C₄×C₈	—	79	4	no	—
270	C₄×C₈	—	79	4	no	—
271	C₄×C₈	—	158	2	no	—
272	C₄×C₈	—	158	2	no	—
273	#95	—	2	2	no	—
274	#95	—	158	2	no	—
275	#95	—	158	2	no	—
276	#95	—	158	2	no	—
277	#95	—	158	2	no	—
278	#95	—	158	2	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	79	1	no	—
282	C₂²×C₄	—	79	1	no	—
283	C₂²×C₄	—	79	1	no	—
284	C₂²×C₄	—	79	1	no	—
285	C₂²×C₄	—	158	2	no	—
286	C₂²×C₄	—	158	2	no	—
287	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
288	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
289	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
290	C₂×C₈	—	2	1	no	—
291	C₂×C₈	—	2	1	no	—
292	C₂×C₈	—	79	2	no	—
293	C₂×C₈	—	79	2	no	—
294	C₂×C₈	—	79	2	no	—
295	C₂×C₈	—	79	2	no	—
296	C₂×C₈	—	158	1	no	—
297	C₂×C₈	—	158	1	no	—
298	C₂×C₈	C₂×C₄×D₇₉	1	2	yes	—
299	C₂×C₈	Q₈×D₇₉	1	2	yes	—
300	C₂×C₈	Q₈×D₇₉	1	2	yes	—
301	C₂×C₈	#11929623	1	2	yes	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	2	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	4	4	no	—
306	C₄⋊C₄	—	316	4	no	—
307	C₄⋊C₄	—	79	4	no	—
308	C₄⋊C₄	—	158	8	no	—
309	C₄⋊C₄	—	158	8	no	—
310	C₄⋊C₄	—	158	2	no	—
311	C₄⋊C₄	—	158	2	no	—
312	C₄⋊C₄	—	158	2	no	—
313	C₄⋊C₄	C₂×C₄×D₇₉	1	4	yes	—
314	C₄²	—	2	1	no	—
315	C₄²	—	2	1	no	—
316	C₄²	—	316	4	no	—
317	C₄²	—	316	4	no	—
318	C₄²	—	79	2	no	—
319	C₄²	—	79	2	no	—
320	C₄²	—	79	2	no	—
321	C₄²	—	79	2	no	—
322	C₄²	—	158	2	no	—
323	C₄²	—	158	2	no	—
324	C₄²	—	158	2	no	—
325	C₄²	—	158	2	no	—
326	C₂³	C₂×D₄×D₇₉	1	1	yes	characteristic
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	4	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	316	2	no	—
338	C₂×C₄	—	316	2	no	—
339	C₂×C₄	—	316	2	no	—
340	C₂×C₄	—	316	2	no	—
341	C₂×C₄	—	316	2	no	—
342	C₂×C₄	—	79	2	no	—
343	C₂×C₄	—	79	2	no	—
344	C₂×C₄	—	79	2	no	—
345	C₂×C₄	—	79	2	no	—
346	C₂×C₄	—	79	2	no	—
347	C₂×C₄	—	79	2	no	—
348	C₂×C₄	—	158	4	no	—
349	C₂×C₄	—	158	1	no	—
350	C₂×C₄	—	158	1	no	—
351	C₂×C₄	—	158	1	no	—
352	C₂×C₄	—	158	1	no	—
353	C₂×C₄	—	158	1	no	—
354	C₂×C₄	—	158	1	no	—
355	C₂×C₄	#14579180	1	2	yes	—
356	C₂×C₄	#14579184	1	2	yes	—
357	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
358	C₂×C₄	C₂×Q₈×D₇₉	1	1	yes	characteristic
359	C₂×C₄	C₂×Q₈×D₇₉	1	1	yes	characteristic
360	C₂×C₄	#41×D₇₉	1	1	yes	characteristic
361	C₂×C₄	#41×D₇₉	1	1	yes	characteristic
362	C₂×C₄	C₂×#11929623	1	1	yes	characteristic
363	C₈	—	2	2	no	—
364	C₈	—	79	4	no	—
365	C₈	—	158	2	no	—
366	C₈	#14579126	1	4	yes	—
367	C₂²	C₄×D₄×D₇₉	1	1	yes	characteristic
368	C₂²	C₄⋊Q₈×D₇₉	1	1	yes	characteristic
369	C₂²	#19099108	1	1	yes	characteristic
370	C₂²	#135×D₇₉	1	1	yes	characteristic
371	C₂²	#135×D₇₉	1	1	yes	characteristic
372	C₂²	C₂×#14579180	1	1	yes	characteristic
373	C₂²	C₂×#14579184	1	1	yes	characteristic
374	C₄	—	2	2	no	—
375	C₄	—	2	2	no	—
376	C₄	—	4	4	no	—
377	C₄	—	8	2	no	—
378	C₄	—	316	4	no	—
379	C₄	—	79	4	no	—
380	C₄	—	632	2	no	—
381	C₄	—	158	2	no	—
382	C₄	—	158	2	no	—
383	C₄	—	158	2	no	—
384	C₄	C₄×Q₈×D₇₉	1	1	yes	characteristic
385	C₄	C₂×#14579126	1	1	yes	characteristic
386	C₄	#19099115	1	1	yes	characteristic
387	C₄	#19099119	1	1	yes	characteristic
388	C₂	#23765971	1	1	yes	characteristic
389	C₂	C₄×#14579180	1	1	yes	characteristic
390	C₂	C₄×#14579184	1	1	yes	characteristic
391	C₂	#499×D₇₉	1	1	yes	characteristic
392	C₂	#23773911	1	1	yes	characteristic
393	C₂	#23773965	1	1	yes	characteristic
394	C₂	#23773971	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×D₄×D₇₉
commutator	C₂×C₄×C₇₉	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₇₉
Fitting	C₇₉×#1942	C₂
socle, prime radical	C₂³×C₇₉	C₂²×D₄
cosocle	C₂²×C₄×C₇₉	C₂⁴
hypercenter	#1942	D₇₉
hypocenter	C₇₉	C₄×#499
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1942

Complements

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

N	H ≅ G/N	type
13. #19098964	C₄	semidirect
189. Dic₇₉	#499	semidirect
209. C₇₉	C₄×#499	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19098964	2
#23765959	2
#23764363	2
#23764133	2
#23764125	2
#23763563	2
#107×Dic₇₉	2
#23763288	2
C₄×C₈×Dic₇₉	2
C₇₉×#1942	2
C₄×#499	79