Subgroups — #18090802

Order 4864.

798 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11926410	C₂	1	1	yes	maximal, characteristic
2	C₂×#11926306	C₂	1	2	yes	maximal
3	C₂×#11926306	C₂	1	2	yes	maximal
4	C₂×#11926299	C₂	1	1	yes	maximal, characteristic
5	C₁₉×C₄⋊#95	C₂	1	1	yes	maximal, characteristic
6	C₂³×C₁₉⋊C₈	C₂²	1	2	yes	—
7	C₂²×C₄⋊Dic₁₉	C₂²	1	2	yes	—
8	#11926410	—	2	4	no	—
9	C₂×C₁₉⋊#95	—	2	2	no	—
10	#11926306	—	2	4	no	—
11	#11926306	—	2	4	no	—
12	#11926299	C₄	1	4	yes	complemented
13	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
14	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
15	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
16	C₂×C₁₉×#95	—	2	2	no	—
17	C₂³×C₄×C₁₉	—	2	1	no	—
18	C₂³×C₄×C₁₉	—	2	1	no	—
19	C₂³×C₄×C₁₉	D₄	1	2	yes	—
20	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
21	C₂³×Dic₁₉	—	2	2	no	—
22	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
23	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
24	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
25	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
26	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
27	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
28	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
29	C₂×C₄⋊C₄×C₁₉	Q₈	1	2	yes	—
30	C₂×C₄²×C₁₉	—	2	2	no	—
31	C₂×C₄²×C₁₉	—	2	2	no	—
32	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
33	C₂×C₄²×C₁₉	Q₈	1	2	yes	—
34	C₂×C₄⋊Dic₁₉	—	2	2	no	—
35	C₂×C₄⋊Dic₁₉	—	2	2	no	—
36	C₂×C₄⋊Dic₁₉	—	2	2	no	—
37	C₂×C₄⋊Dic₁₉	—	2	2	no	—
38	C₂×C₄⋊Dic₁₉	—	2	2	no	—
39	C₂×C₄⋊Dic₁₉	D₄	1	4	yes	—
40	C₂²×C₁₉⋊C₈	—	2	2	no	—
41	C₂²×C₁₉⋊C₈	—	2	2	no	—
42	C₂²×C₁₉⋊C₈	—	2	2	no	—
43	C₂²×C₁₉⋊C₈	—	2	2	no	—
44	C₂²×C₁₉⋊C₈	—	2	2	no	—
45	C₂²×C₁₉⋊C₈	—	2	2	no	—
46	C₂²×C₁₉⋊C₈	C₂×C₄	1	4	yes	—
47	C₁₉×#95	—	4	4	no	—
48	C₁₉⋊#95	—	2	8	no	—
49	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
50	C₂²×C₄×C₁₉	—	2	2	no	—
51	C₂²×C₄×C₁₉	—	2	2	no	—
52	C₂²×C₄×C₁₉	—	2	2	no	—
53	C₂²×C₄×C₁₉	—	2	2	no	—
54	C₂²×C₄×C₁₉	—	2	2	no	—
55	C₂²×C₄×C₁₉	—	2	2	no	—
56	C₂²×C₄×C₁₉	—	2	2	no	—
57	C₂²×C₄×C₁₉	—	2	2	no	—
58	C₂²×C₄×C₁₉	—	4	1	no	—
59	C₂²×C₄×C₁₉	—	4	1	no	—
60	C₂²×C₄×C₁₉	—	4	1	no	—
61	C₂²×C₄×C₁₉	—	4	1	no	—
62	C₂²×C₄×C₁₉	—	4	2	no	—
63	C₂²×C₄×C₁₉	—	4	2	no	—
64	C₂²×C₄×C₁₉	—	4	2	no	—
65	C₂²×C₄×C₁₉	—	4	2	no	—
66	C₂²×C₄×C₁₉	C₄⋊C₄	1	4	yes	—
67	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
68	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
70	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
71	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
72	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
73	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
74	C₂²×C₄×C₁₉	#41	1	2	yes	—
75	C₂²×C₄×C₁₉	#41	1	2	yes	—
76	C₂²×C₄×C₁₉	#41	1	2	yes	—
77	C₂²×Dic₁₉	—	2	4	no	—
78	C₂²×Dic₁₉	—	4	2	no	—
79	C₂²×Dic₁₉	—	4	2	no	—
80	C₂²×Dic₁₉	—	4	2	no	—
81	C₂²×Dic₁₉	—	4	2	no	—
82	C₂²×Dic₁₉	—	4	2	no	—
83	C₂²×Dic₁₉	—	4	2	no	—
84	C₄⋊C₄×C₁₉	—	2	4	no	—
85	C₄⋊C₄×C₁₉	—	2	4	no	—
86	C₄⋊C₄×C₁₉	—	4	2	no	—
87	C₄⋊C₄×C₁₉	—	4	2	no	—
88	C₄²×C₁₉	—	2	4	no	—
89	C₄²×C₁₉	—	2	4	no	—
90	C₄⋊Dic₁₉	—	2	4	no	—
91	C₄⋊Dic₁₉	—	2	4	no	—
92	C₄⋊Dic₁₉	—	4	2	no	—
93	C₄⋊Dic₁₉	—	4	2	no	—
94	C₂×C₁₉⋊C₈	—	2	4	no	—
95	C₂×C₁₉⋊C₈	—	2	4	no	—
96	C₂×C₁₉⋊C₈	—	2	4	no	—
97	C₂×C₁₉⋊C₈	—	4	2	no	—
98	C₂×C₁₉⋊C₈	—	4	2	no	—
99	C₂×C₁₉⋊C₈	—	4	2	no	—
100	C₂×C₁₉⋊C₈	—	4	2	no	—
101	#11268	—	19	1	no	maximal, Sylow
102	C₂³×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
103	C₂³×C₁₉	#120	1	1	yes	characteristic
104	C₂³×C₁₉	#121	1	1	yes	characteristic
105	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
106	C₂³×C₁₉	#123	1	1	yes	characteristic
107	C₂³×C₁₉	#124	1	1	yes	characteristic
108	C₂³×C₁₉	#124	1	1	yes	characteristic
109	C₂³×C₁₉	#135	1	2	yes	—
110	C₂³×C₁₉	#135	1	2	yes	—
111	C₂³×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
112	C₂³×C₁₉	#137	1	2	yes	—
113	C₂×C₄×C₁₉	—	2	4	no	—
114	C₂×C₄×C₁₉	—	2	4	no	—
115	C₂×C₄×C₁₉	—	2	4	no	—
116	C₂×C₄×C₁₉	—	4	2	no	—
117	C₂×C₄×C₁₉	—	4	2	no	—
118	C₂×C₄×C₁₉	—	4	2	no	—
119	C₂×C₄×C₁₉	—	4	2	no	—
120	C₂×C₄×C₁₉	—	4	2	no	—
121	C₂×C₄×C₁₉	—	4	2	no	—
122	C₂×C₄×C₁₉	—	4	4	no	—
123	C₂×C₄×C₁₉	—	4	4	no	—
124	C₂×C₄×C₁₉	—	8	2	no	—
125	C₂×C₄×C₁₉	—	8	2	no	—
126	C₂×C₄×C₁₉	—	8	1	no	—
127	C₂×C₄×C₁₉	—	8	1	no	—
128	C₂×C₄×C₁₉	—	8	1	no	—
129	C₂×C₄×C₁₉	—	8	1	no	—
130	C₂×C₄×C₁₉	#117	1	2	yes	—
131	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
132	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
133	C₂×C₄×C₁₉	C₄×Q₈	1	1	yes	characteristic
134	C₂×C₄×C₁₉	#121	1	2	yes	—
135	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
136	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
137	C₂×C₄×C₁₉	#123	1	2	yes	—
138	C₂×C₄×C₁₉	#123	1	2	yes	—
139	C₂×C₄×C₁₉	#124	1	2	yes	—
140	C₂×C₄×C₁₉	#125	1	1	yes	characteristic
141	C₂×C₄×C₁₉	#125	1	2	yes	—
142	C₂×C₄×C₁₉	#125	1	2	yes	—
143	C₂×C₄×C₁₉	#126	1	2	yes	—
144	C₂×C₄×C₁₉	#126	1	2	yes	—
145	C₂×C₄×C₁₉	C₄⋊Q₈	1	1	yes	characteristic
146	C₂×Dic₁₉	—	4	4	no	—
147	C₂×Dic₁₉	—	4	4	no	—
148	C₂×Dic₁₉	—	4	4	no	—
149	C₂×Dic₁₉	—	8	2	no	—
150	C₂×Dic₁₉	—	8	2	no	—
151	C₂×Dic₁₉	—	8	2	no	—
152	C₂×Dic₁₉	—	8	2	no	—
153	C₁₉⋊C₈	—	4	4	no	—
154	C₂×#382	—	19	1	no	—
155	C₂×#340	—	19	2	no	—
156	C₂×#340	—	19	2	no	—
157	C₂×#336	—	19	1	no	—
158	C₄⋊#95	D₁₉	1	1	yes	characteristic
159	C₂²×C₁₉	#382	1	1	yes	characteristic
160	C₂²×C₁₉	#385	1	1	yes	characteristic
161	C₂²×C₁₉	#389	1	1	yes	characteristic
162	C₂²×C₁₉	#393	1	1	yes	characteristic
163	C₂²×C₁₉	#394	1	1	yes	characteristic
164	C₂²×C₁₉	#397	1	1	yes	characteristic
165	C₂²×C₁₉	#400	1	1	yes	characteristic
166	C₂²×C₁₉	#427	1	2	yes	—
167	C₂²×C₁₉	#428	1	2	yes	—
168	C₂²×C₁₉	#449	1	2	yes	—
169	C₂²×C₁₉	#452	1	2	yes	—
170	C₂²×C₁₉	#463	1	2	yes	—
171	C₂²×C₁₉	#464	1	2	yes	—
172	C₂²×C₁₉	#478	1	2	yes	—
173	C₂²×C₁₉	#479	1	2	yes	—
174	C₂²×C₁₉	#482	1	2	yes	—
175	C₂²×C₁₉	#485	1	2	yes	—
176	C₂²×C₁₉	#488	1	1	yes	characteristic
177	C₂²×C₁₉	#488	1	1	yes	characteristic
178	C₂²×C₁₉	#488	1	2	yes	—
179	C₂²×C₁₉	#489	1	2	yes	—
180	C₂²×C₁₉	#490	1	1	yes	characteristic
181	C₂²×C₁₉	#491	1	1	yes	characteristic
182	C₄×C₁₉	—	4	4	no	—
183	C₄×C₁₉	—	8	2	no	—
184	C₄×C₁₉	—	8	2	no	—
185	C₄×C₁₉	#387	1	2	yes	—
186	C₄×C₁₉	#388	1	2	yes	—
187	C₄×C₁₉	#398	1	2	yes	—
188	C₄×C₁₉	#400	1	2	yes	—
189	Dic₁₉	—	8	4	no	—
190	C₂³×C₈	—	19	2	no	—
191	C₂²×C₄⋊C₄	—	19	2	no	—
192	C₂²×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
193	C₂²×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
194	C₂²×C₄²	C₂×D₁₉	1	1	yes	characteristic
195	#382	—	38	4	no	—
196	C₂×#95	—	2	2	no	—
197	C₂×#95	—	38	2	no	—
198	#340	—	38	4	no	—
199	#340	—	38	4	no	—
200	#336	—	19	4	no	—
201	C₂×C₁₉	#1442	1	1	yes	characteristic
202	C₂×C₁₉	#1835	1	1	yes	characteristic
203	C₂×C₁₉	#1836	1	1	yes	characteristic
204	C₂×C₁₉	#1854	1	2	yes	—
205	C₂×C₁₉	#1949	1	2	yes	—
206	C₂×C₁₉	#2025	1	1	yes	characteristic
207	C₂×C₁₉	#2026	1	1	yes	characteristic
208	C₂×C₁₉	#2042	1	2	yes	—
209	C₂×C₁₉	#2073	1	1	yes	characteristic
210	C₂×C₁₉	#2074	1	1	yes	characteristic
211	C₂×C₁₉	#2101	1	2	yes	—
212	C₂³×C₄	—	2	1	no	—
213	C₂³×C₄	—	2	1	no	—
214	C₂³×C₄	—	38	2	no	—
215	C₂³×C₄	C₂²⋊D₁₉	1	2	yes	—
216	C₂³×C₄	C₂²×D₁₉	1	1	yes	characteristic
217	C₂²×C₈	—	19	4	no	—
218	C₂²×C₈	—	38	2	no	—
219	C₂²×C₈	—	38	2	no	—
220	C₂²×C₈	—	38	2	no	—
221	C₂²×C₈	—	38	2	no	—
222	C₂²×C₈	—	38	2	no	—
223	C₂²×C₈	—	38	2	no	—
224	C₂×C₄⋊C₄	—	2	2	no	—
225	C₂×C₄⋊C₄	—	2	2	no	—
226	C₂×C₄⋊C₄	—	2	2	no	—
227	C₂×C₄⋊C₄	—	2	2	no	—
228	C₂×C₄⋊C₄	—	2	1	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	—	19	4	no	—
231	C₂×C₄⋊C₄	—	38	2	no	—
232	C₂×C₄⋊C₄	—	38	2	no	—
233	C₂×C₄⋊C₄	—	38	2	no	—
234	C₂×C₄⋊C₄	—	38	2	no	—
235	C₂×C₄⋊C₄	—	38	2	no	—
236	C₂×C₄⋊C₄	Dic₃₈	1	2	yes	—
237	C₂×C₄⋊C₄	D₇₆	1	2	yes	—
238	C₂×C₄²	—	2	2	no	—
239	C₂×C₄²	—	2	2	no	—
240	C₂×C₄²	Dic₃₈	1	2	yes	—
241	C₂×C₄²	C₄×D₁₉	1	2	yes	—
242	#95	—	4	4	no	—
243	#95	—	38	8	no	—
244	C₁₉	#11268	1	1	yes	characteristic, complemented, Sylow
245	C₂⁴	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
246	C₂²×C₄	—	2	2	no	—
247	C₂²×C₄	—	2	2	no	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	2	2	no	—
251	C₂²×C₄	—	2	2	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	—	2	2	no	—
254	C₂²×C₄	—	4	2	no	—
255	C₂²×C₄	—	4	2	no	—
256	C₂²×C₄	—	4	1	no	—
257	C₂²×C₄	—	4	1	no	—
258	C₂²×C₄	—	4	1	no	—
259	C₂²×C₄	—	4	1	no	—
260	C₂²×C₄	—	4	2	no	—
261	C₂²×C₄	—	4	2	no	—
262	C₂²×C₄	—	38	4	no	—
263	C₂²×C₄	—	76	2	no	—
264	C₂²×C₄	—	76	2	no	—
265	C₂²×C₄	—	76	2	no	—
266	C₂²×C₄	—	76	2	no	—
267	C₂²×C₄	—	76	2	no	—
268	C₂²×C₄	—	76	2	no	—
269	C₂²×C₄	Dic₁₉⋊C₄	1	4	yes	—
270	C₂²×C₄	C₂×Dic₃₈	1	1	yes	characteristic
271	C₂²×C₄	C₂×Dic₃₈	1	1	yes	characteristic
272	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
273	C₂²×C₄	C₂×D₇₆	1	1	yes	characteristic
274	C₂²×C₄	#64541	1	1	yes	characteristic
275	C₂²×C₄	#64541	1	1	yes	characteristic
276	C₂²×C₄	D₄×D₁₉	1	2	yes	—
277	C₂²×C₄	#64543	1	2	yes	—
278	C₂²×C₄	#64543	1	2	yes	—
279	C₂²×C₄	#64545	1	2	yes	—
280	C₂×C₈	—	38	4	no	—
281	C₂×C₈	—	38	4	no	—
282	C₂×C₈	—	38	4	no	—
283	C₂×C₈	—	76	2	no	—
284	C₂×C₈	—	76	2	no	—
285	C₂×C₈	—	76	2	no	—
286	C₂×C₈	—	76	2	no	—
287	C₄⋊C₄	—	2	4	no	—
288	C₄⋊C₄	—	2	4	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄⋊C₄	—	4	2	no	—
291	C₄⋊C₄	—	38	4	no	—
292	C₄⋊C₄	—	38	4	no	—
293	C₄⋊C₄	—	76	2	no	—
294	C₄⋊C₄	—	76	2	no	—
295	C₄²	—	2	4	no	—
296	C₄²	—	2	4	no	—
297	C₂³	C₂×Dic₁₉⋊C₄	1	1	yes	characteristic
298	C₂³	#10597370	1	1	yes	characteristic
299	C₂³	#10597376	1	1	yes	characteristic
300	C₂³	#10597378	1	2	yes	—
301	C₂³	#10597381	1	1	yes	characteristic
302	C₂³	#10597382	1	1	yes	characteristic
303	C₂³	#10597383	1	1	yes	characteristic
304	C₂³	#10597388	1	2	yes	—
305	C₂³	#10597393	1	1	yes	characteristic
306	C₂³	#10597396	1	2	yes	—
307	C₂³	#10597396	1	2	yes	—
308	C₂×C₄	—	2	4	no	—
309	C₂×C₄	—	2	4	no	—
310	C₂×C₄	—	2	4	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	4	2	no	—
313	C₂×C₄	—	4	2	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	4	no	—
316	C₂×C₄	—	4	2	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	4	no	—
319	C₂×C₄	—	8	2	no	—
320	C₂×C₄	—	8	1	no	—
321	C₂×C₄	—	8	1	no	—
322	C₂×C₄	—	8	1	no	—
323	C₂×C₄	—	8	1	no	—
324	C₂×C₄	—	8	2	no	—
325	C₂×C₄	—	76	4	no	—
326	C₂×C₄	—	76	4	no	—
327	C₂×C₄	—	76	4	no	—
328	C₂×C₄	—	152	2	no	—
329	C₂×C₄	—	152	2	no	—
330	C₂×C₄	—	152	2	no	—
331	C₂×C₄	—	152	2	no	—
332	C₂×C₄	C₄×Dic₃₈	1	1	yes	characteristic
333	C₂×C₄	#10597315	1	1	yes	characteristic
334	C₂×C₄	#10597316	1	1	yes	characteristic
335	C₂×C₄	C₄×D₇₆	1	1	yes	characteristic
336	C₂×C₄	#10597324	1	2	yes	—
337	C₂×C₄	#10597324	1	2	yes	—
338	C₂×C₄	#10597325	1	2	yes	—
339	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	2	yes	—
340	C₂×C₄	#10597331	1	2	yes	—
341	C₂×C₄	#10597332	1	2	yes	—
342	C₂×C₄	#10597336	1	2	yes	—
343	C₂×C₄	#10597336	1	2	yes	—
344	C₂×C₄	#10597338	1	2	yes	—
345	C₂×C₄	#10597340	1	2	yes	—
346	C₂×C₄	#10597341	1	2	yes	—
347	C₂×C₄	#10597344	1	2	yes	—
348	C₈	—	76	4	no	—
349	C₂²	#11926409	1	1	yes	characteristic
350	C₂²	#11926416	1	1	yes	characteristic
351	C₂²	#11926442	1	1	yes	characteristic
352	C₂²	#11926456	1	1	yes	characteristic
353	C₂²	#11926461	1	1	yes	characteristic
354	C₂²	#11926469	1	1	yes	characteristic
355	C₂²	#11926483	1	1	yes	characteristic
356	C₂²	#11926580	1	2	yes	—
357	C₂²	#11926584	1	2	yes	—
358	C₂²	#11926687	1	2	yes	—
359	C₂²	#11926704	1	2	yes	—
360	C₂²	#11926759	1	2	yes	—
361	C₂²	#11926766	1	2	yes	—
362	C₂²	#11926844	1	2	yes	—
363	C₂²	#11926851	1	2	yes	—
364	C₂²	#11926865	1	2	yes	—
365	C₂²	#11926882	1	2	yes	—
366	C₂²	#11926898	1	1	yes	characteristic
367	C₂²	#11926898	1	1	yes	characteristic
368	C₂²	#11926901	1	2	yes	—
369	C₂²	#11926906	1	2	yes	—
370	C₂²	#11926908	1	1	yes	characteristic
371	C₂²	#11926912	1	1	yes	characteristic
372	C₄	—	4	4	no	—
373	C₄	—	8	2	no	—
374	C₄	—	8	2	no	—
375	C₄	—	152	4	no	—
376	C₄	#11926431	1	2	yes	—
377	C₄	#11926436	1	2	yes	—
378	C₄	#11926476	1	2	yes	—
379	C₄	#11926486	1	2	yes	—
380	C₂	#14561891	1	1	yes	characteristic
381	C₂	#14563765	1	1	yes	characteristic
382	C₂	#14563770	1	1	yes	characteristic
383	C₂	#14563832	1	2	yes	—
384	C₂	#14564403	1	2	yes	—
385	C₂	#14564781	1	1	yes	characteristic
386	C₂	#14564786	1	1	yes	characteristic
387	C₂	#14564876	1	2	yes	—
388	C₂	#14565048	1	1	yes	characteristic
389	C₂	#14565053	1	1	yes	characteristic
390	C₂	#14565203	1	2	yes	—

	subgroup	G/H
center	C₂⁴	C₂×C₂²⋊D₁₉
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂³×C₄	C₂²×D₁₉
Fitting	C₁₉×C₄⋊#95	C₂
socle, prime radical	C₂⁴×C₁₉	C₂×D₄
cosocle	C₂³×C₄×C₁₉	C₂³
hypercenter	C₄⋊#95	D₁₉
hypocenter	C₁₉	#11268
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄² ◁ C₄⋊#95

Complements

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

N	H ≅ G/N	type
12. #11926299	C₄	semidirect
244. C₁₉	#11268	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11926410	2
C₂×#11926306	2
C₂×#11926299	2
C₁₉×C₄⋊#95	2
#11268	19