Subgroups — #18072085

Order 4864.

734 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×C₄⋊C₈×D₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×#64515	C₂	1	1	yes	maximal, characteristic
3	#14566031	C₂	1	1	yes	maximal, characteristic
4	#14561476	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561475	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561474	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1279	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#64515	—	2	1	no	—
9	C₂²×C₈×D₁₉	—	2	1	no	—
10	C₂×C₄²×D₁₉	C₂²	1	1	yes	characteristic
11	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
12	C₂×Dic₁₉⋊C₈	—	2	1	no	—
13	C₄⋊C₈×D₁₉	—	2	2	no	—
14	C₄⋊C₈×D₁₉	C₄	1	4	yes	complemented
15	C₄×#64515	—	2	2	no	—
16	C₄×#64515	C₄	1	4	yes	complemented
17	C₂×#10597272	—	2	1	no	—
18	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
19	#11926411	—	2	1	no	—
20	#11926409	C₄	1	2	yes	—
21	#11926406	—	2	1	no	—
22	#11926401	C₄	1	2	yes	—
23	C₄×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
24	C₄×(C₂×D₁₉)⋊C₄	—	2	1	no	—
25	#11926390	—	2	1	no	—
26	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
28	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂²×C₄×D₁₉	C₂×C₄	1	1	yes	characteristic
30	C₂²×C₄×D₁₉	D₄	1	1	yes	characteristic
31	C₂²×C₄×D₁₉	D₄	1	1	yes	characteristic
32	C₂²×C₈×C₁₉	—	2	1	no	—
33	C₂²×C₈×C₁₉	—	2	1	no	—
34	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
35	C₂×C₄²×C₁₉	—	2	1	no	—
36	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
37	C₂×(C₂×D₁₉)⋊C₄	—	2	2	no	—
38	C₂×C₄⋊Dic₁₉	C₂×C₄	1	2	yes	—
39	C₂×C₄×Dic₁₉	—	2	1	no	—
40	C₂×C₄×Dic₁₉	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄×Dic₁₉	D₄	1	1	yes	characteristic
42	C₂×C₄×Dic₁₉	D₄	1	1	yes	characteristic
43	C₂²×C₁₉⋊C₈	—	2	1	no	—
44	C₂²×C₁₉⋊C₈	—	2	1	no	—
45	C₂×#64515	—	2	8	no	—
46	C₂×#64515	—	2	4	no	—
47	C₂×C₈×D₁₉	—	2	4	no	—
48	C₂×C₈×D₁₉	—	4	2	no	—
49	C₂×C₈×D₁₉	—	4	2	no	—
50	C₄²×D₁₉	C₂×C₄	1	2	yes	—
51	C₄²×D₁₉	C₂×C₄	1	2	yes	—
52	C₄²×D₁₉	D₄	1	2	yes	—
53	C₄²×D₁₉	Q₈	1	2	yes	—
54	C₁₉×C₄⋊C₈	—	2	1	no	—
55	C₁₉×C₄⋊C₈	C₂×C₄	1	2	yes	—
56	C₄×C₈×C₁₉	—	2	1	no	—
57	C₄×C₈×C₁₉	C₂×C₄	1	2	yes	—
58	C₁₉×#95	—	2	1	no	—
59	C₁₉⋊#95	—	2	1	no	—
60	C₁₉⋊#95	—	2	2	no	—
61	C₁₉⋊#95	—	2	2	no	—
62	C₁₉⋊#95	—	2	2	no	—
63	#10597272	—	2	4	no	—
64	Dic₁₉⋊C₈	—	2	4	no	—
65	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
66	C₄⋊(C₁₉⋊C₈)	C₂×C₄	1	2	yes	—
67	C₄×C₁₉⋊C₈	—	2	1	no	—
68	C₄×C₁₉⋊C₈	C₂×C₄	1	2	yes	—
69	C₂³×D₁₉	C₂²⋊C₄	1	1	yes	characteristic
70	C₂²×C₄×C₁₉	—	2	2	no	—
71	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
72	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
73	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
74	C₂²×Dic₁₉	—	2	2	no	—
75	C₂²×Dic₁₉	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×Dic₁₉	C₂²⋊C₄	1	1	yes	characteristic
77	C₂²×Dic₁₉	C₂²⋊C₄	1	1	yes	characteristic
78	C₂×C₄×D₁₉	—	2	4	no	—
79	C₂×C₄×D₁₉	—	2	2	no	—
80	C₂×C₄×D₁₉	—	2	2	no	—
81	C₂×C₄×D₁₉	—	2	1	no	—
82	C₂×C₄×D₁₉	—	2	1	no	—
83	C₂×C₄×D₁₉	—	2	1	no	—
84	C₂×C₄×D₁₉	—	2	1	no	—
85	C₂×C₄×D₁₉	C₄²	1	2	yes	—
86	C₂×C₄×D₁₉	C₂²⋊C₄	1	2	yes	—
87	C₂×C₄×D₁₉	C₂²⋊C₄	1	2	yes	—
88	C₂×C₄×D₁₉	C₄⋊C₄	1	2	yes	—
89	C₂×C₄×D₁₉	C₄⋊C₄	1	2	yes	—
90	C₂×C₄×D₁₉	C₄⋊C₄	1	2	yes	—
91	C₂×C₈×C₁₉	—	2	4	no	—
92	C₂×C₈×C₁₉	—	2	2	no	—
93	C₂×C₈×C₁₉	—	2	2	no	—
94	C₂×C₈×C₁₉	—	4	1	no	—
95	C₂×C₈×C₁₉	—	4	1	no	—
96	C₄⋊C₄×C₁₉	—	2	2	no	—
97	C₄⋊C₄×C₁₉	—	2	2	no	—
98	C₄²×C₁₉	—	4	1	no	—
99	C₄²×C₁₉	—	4	1	no	—
100	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
101	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
102	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
103	C₄²×C₁₉	C₂×Q₈	1	1	yes	characteristic
104	(C₂×D₁₉)⋊C₄	—	4	4	no	—
105	C₄⋊Dic₁₉	—	2	2	no	—
106	C₄⋊Dic₁₉	—	2	2	no	—
107	C₄×Dic₁₉	—	4	1	no	—
108	C₄×Dic₁₉	—	4	1	no	—
109	C₄×Dic₁₉	C₄²	1	2	yes	—
110	C₄×Dic₁₉	C₂²⋊C₄	1	2	yes	—
111	C₄×Dic₁₉	C₂²⋊C₄	1	2	yes	—
112	C₄×Dic₁₉	C₄⋊C₄	1	2	yes	—
113	C₄×Dic₁₉	C₄⋊C₄	1	2	yes	—
114	C₄×Dic₁₉	C₄⋊C₄	1	2	yes	—
115	C₂×C₁₉⋊C₈	—	2	4	no	—
116	C₂×C₁₉⋊C₈	—	2	2	no	—
117	C₂×C₁₉⋊C₈	—	2	2	no	—
118	C₂×C₁₉⋊C₈	—	4	1	no	—
119	C₂×C₁₉⋊C₈	—	4	1	no	—
120	#64515	—	2	16	no	—
121	C₈×D₁₉	—	4	8	no	—
122	#7895	—	19	1	no	maximal, Sylow
123	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
124	C₂²×D₁₉	—	2	2	no	—
125	C₂²×D₁₉	—	2	1	no	—
126	C₂²×D₁₉	—	2	1	no	—
127	C₂²×D₁₉	#95	1	2	yes	—
128	C₂²×D₁₉	#104	1	4	yes	—
129	C₂×C₄×C₁₉	—	2	2	no	—
130	C₂×C₄×C₁₉	—	4	2	no	—
131	C₂×C₄×C₁₉	—	4	2	no	—
132	C₂×C₄×C₁₉	—	4	2	no	—
133	C₂×C₄×C₁₉	C₂×C₄²	1	1	yes	characteristic
134	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
135	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
136	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
139	C₂×C₄×C₁₉	#131	1	2	yes	—
140	C₂×C₄×C₁₉	#131	1	2	yes	—
141	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
142	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
143	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
144	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
145	C₂×Dic₁₉	—	2	2	no	—
146	C₂×Dic₁₉	—	2	1	no	—
147	C₂×Dic₁₉	—	2	1	no	—
148	C₂×Dic₁₉	—	2	2	no	—
149	C₂×Dic₁₉	—	4	2	no	—
150	C₂×Dic₁₉	—	4	2	no	—
151	C₂×Dic₁₉	—	4	2	no	—
152	C₂×Dic₁₉	#95	1	2	yes	—
153	C₂×Dic₁₉	#95	1	2	yes	—
154	C₂×Dic₁₉	#95	1	2	yes	—
155	C₄×D₁₉	—	2	4	no	—
156	C₄×D₁₉	—	2	4	no	—
157	C₄×D₁₉	—	2	2	no	—
158	C₄×D₁₉	—	2	2	no	—
159	C₄×D₁₉	—	2	2	no	—
160	C₄×D₁₉	—	2	2	no	—
161	C₄×D₁₉	—	2	4	no	—
162	C₄×D₁₉	—	2	2	no	—
163	C₄×D₁₉	—	2	2	no	—
164	C₈×C₁₉	—	2	4	no	—
165	C₈×C₁₉	—	4	2	no	—
166	C₁₉⋊C₈	—	2	4	no	—
167	C₁₉⋊C₈	—	4	2	no	—
168	C₂²×C₄⋊C₈	—	19	1	no	—
169	C₂×C₄×M₁₆	—	19	1	no	—
170	#2283	—	19	1	no	—
171	#1279	—	19	1	no	—
172	#1279	—	19	1	no	—
173	#1279	—	19	1	no	—
174	#1279	D₁₉	1	1	yes	characteristic, complemented
175	C₂²×C₁₉	C₂×#95	1	1	yes	characteristic
176	C₂²×C₁₉	#408	1	2	yes	—
177	C₂²×C₁₉	#417	1	1	yes	characteristic
178	C₂²×C₁₉	#417	1	1	yes	characteristic
179	C₂²×C₁₉	C₂×#104	1	2	yes	—
180	C₂×D₁₉	—	2	2	no	—
181	C₂×D₁₉	—	2	2	no	—
182	C₂×D₁₉	—	2	4	no	—
183	C₂×D₁₉	—	2	4	no	—
184	C₂×D₁₉	#339	1	4	yes	—
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	8	2	no	—
188	C₄×C₁₉	#405	1	1	yes	characteristic
189	C₄×C₁₉	#405	1	1	yes	characteristic
190	C₄×C₁₉	#418	1	1	yes	characteristic
191	C₄×C₁₉	#419	1	1	yes	characteristic
192	C₄×C₁₉	#424	1	2	yes	—
193	C₄×C₁₉	#428	1	1	yes	characteristic
194	C₄×C₁₉	#428	1	1	yes	characteristic
195	Dic₁₉	—	2	2	no	—
196	Dic₁₉	—	2	2	no	—
197	Dic₁₉	—	2	2	no	—
198	Dic₁₉	—	8	2	no	—
199	C₂²×M₁₆	—	38	1	no	—
200	C₂³×C₈	—	38	1	no	—
201	C₂²×C₄²	—	19	1	no	—
202	C₂×C₄⋊C₈	—	19	1	no	—
203	C₂×C₄⋊C₈	—	19	4	no	—
204	C₂×C₄⋊C₈	—	38	2	no	—
205	C₂×C₄⋊C₈	—	38	1	no	—
206	C₂×C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
207	C₄×M₁₆	—	19	4	no	—
208	C₄×M₁₆	—	38	2	no	—
209	C₂×#97	—	38	1	no	—
210	C₂×C₄×C₈	—	19	1	no	—
211	C₂×C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
212	#383	—	38	1	no	—
213	#382	—	19	2	no	—
214	#381	—	38	1	no	—
215	#380	—	19	2	no	—
216	C₄×C₄⋊C₄	—	19	1	no	—
217	C₄×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
218	C₄×C₂²⋊C₄	—	38	1	no	—
219	#376	—	38	1	no	—
220	C₂×C₁₉	#1483	1	2	yes	—
221	C₂×C₁₉	#1483	1	2	yes	—
222	C₂×C₁₉	#1729	1	1	yes	characteristic
223	C₂×C₁₉	C₂×#339	1	1	yes	characteristic
224	C₂×C₁₉	#1736	1	1	yes	characteristic
225	D₁₉	—	2	4	no	—
226	C₂³×C₄	—	19	1	no	—
227	C₂³×C₄	—	19	1	no	—
228	C₂³×C₄	—	19	1	no	—
229	C₂×M₁₆	—	38	4	no	—
230	C₂×M₁₆	—	38	8	no	—
231	C₂²×C₈	—	2	1	no	—
232	C₂²×C₈	—	2	1	no	—
233	C₂²×C₈	—	38	4	no	—
234	C₂²×C₈	—	38	1	no	—
235	C₂²×C₈	—	38	1	no	—
236	C₂²×C₈	—	76	2	no	—
237	C₂²×C₈	—	76	2	no	—
238	C₂×C₄⋊C₄	—	19	2	no	—
239	C₂×C₄⋊C₄	C₄×D₁₉	1	2	yes	—
240	C₂×C₂²⋊C₄	—	38	2	no	—
241	C₂×C₄²	—	2	1	no	—
242	C₂×C₄²	—	19	1	no	—
243	C₂×C₄²	—	19	1	no	—
244	C₂×C₄²	—	19	1	no	—
245	C₂×C₄²	—	19	2	no	—
246	C₂×C₄²	—	19	2	no	—
247	C₂×C₄²	—	19	2	no	—
248	C₂×C₄²	—	19	2	no	—
249	C₂×C₄²	—	38	1	no	—
250	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
251	C₄⋊C₈	—	2	1	no	—
252	C₄⋊C₈	—	19	2	no	—
253	C₄⋊C₈	—	38	4	no	—
254	C₄⋊C₈	—	38	1	no	—
255	C₄⋊C₈	C₄×D₁₉	1	2	yes	—
256	#97	—	38	4	no	—
257	C₄×C₈	—	2	1	no	—
258	C₄×C₈	—	19	2	no	—
259	C₄×C₈	—	38	1	no	—
260	C₄×C₈	C₄×D₁₉	1	2	yes	—
261	#95	—	2	1	no	—
262	#95	—	38	2	no	—
263	#95	—	38	2	no	—
264	#95	—	38	2	no	—
265	#95	—	38	1	no	—
266	C₁₉	#7895	1	1	yes	characteristic, complemented, Sylow
267	C₂⁴	—	19	1	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	19	1	no	—
270	C₂²×C₄	—	19	1	no	—
271	C₂²×C₄	—	19	1	no	—
272	C₂²×C₄	—	19	2	no	—
273	C₂²×C₄	—	19	2	no	—
274	C₂²×C₄	—	19	2	no	—
275	C₂²×C₄	—	19	2	no	—
276	C₂²×C₄	—	19	2	no	—
277	C₂²×C₄	—	19	2	no	—
278	C₂²×C₄	—	38	4	no	—
279	C₂²×C₄	—	38	2	no	—
280	C₂²×C₄	—	38	2	no	—
281	C₂²×C₄	—	38	1	no	—
282	C₂²×C₄	—	38	1	no	—
283	C₂²×C₄	—	38	1	no	—
284	C₂²×C₄	—	38	1	no	—
285	C₂²×C₄	—	38	2	no	—
286	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
287	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
288	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
289	M₁₆	—	38	16	no	—
290	C₂×C₈	—	2	4	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	4	1	no	—
294	C₂×C₈	—	4	1	no	—
295	C₂×C₈	—	38	4	no	—
296	C₂×C₈	—	38	2	no	—
297	C₂×C₈	—	38	2	no	—
298	C₂×C₈	—	76	8	no	—
299	C₂×C₈	—	76	1	no	—
300	C₂×C₈	—	76	1	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	38	2	no	—
304	C₄⋊C₄	—	38	2	no	—
305	C₂²⋊C₄	—	76	4	no	—
306	C₄²	—	4	1	no	—
307	C₄²	—	4	1	no	—
308	C₄²	—	19	2	no	—
309	C₄²	—	19	2	no	—
310	C₄²	—	19	2	no	—
311	C₄²	—	19	2	no	—
312	C₄²	—	19	2	no	—
313	C₄²	—	19	2	no	—
314	C₄²	—	76	1	no	—
315	C₄²	—	76	1	no	—
316	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
317	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
318	C₄²	D₄×D₁₉	1	1	yes	characteristic
319	C₄²	Q₈×D₁₉	1	1	yes	characteristic
320	C₂³	—	19	4	no	—
321	C₂³	—	19	2	no	—
322	C₂³	—	38	1	no	—
323	C₂³	—	38	1	no	—
324	C₂³	—	38	2	no	—
325	C₂³	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	19	2	no	—
331	C₂×C₄	—	19	2	no	—
332	C₂×C₄	—	19	2	no	—
333	C₂×C₄	—	38	4	no	—
334	C₂×C₄	—	38	4	no	—
335	C₂×C₄	—	38	1	no	—
336	C₂×C₄	—	38	1	no	—
337	C₂×C₄	—	38	2	no	—
338	C₂×C₄	—	38	2	no	—
339	C₂×C₄	—	38	2	no	—
340	C₂×C₄	—	38	2	no	—
341	C₂×C₄	—	38	4	no	—
342	C₂×C₄	—	38	2	no	—
343	C₂×C₄	—	38	2	no	—
344	C₂×C₄	—	38	2	no	—
345	C₂×C₄	—	38	2	no	—
346	C₂×C₄	—	76	2	no	—
347	C₂×C₄	—	76	2	no	—
348	C₂×C₄	—	76	2	no	—
349	C₂×C₄	C₄²×D₁₉	1	1	yes	characteristic
350	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
351	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
352	C₂×C₄	C₄⋊C₄×D₁₉	1	1	yes	characteristic
353	C₂×C₄	C₄⋊C₄×D₁₉	1	1	yes	characteristic
354	C₂×C₄	C₄⋊C₄×D₁₉	1	1	yes	characteristic
355	C₂×C₄	#10597347	1	2	yes	—
356	C₂×C₄	#10597353	1	2	yes	—
357	C₂×C₄	#10597357	1	1	yes	characteristic
358	C₂×C₄	#10597360	1	1	yes	characteristic
359	C₂×C₄	#10597361	1	1	yes	characteristic
360	C₂×C₄	#10597364	1	1	yes	characteristic
361	C₈	—	2	4	no	—
362	C₈	—	4	2	no	—
363	C₈	—	38	4	no	—
364	C₈	—	76	2	no	—
365	C₂²	—	19	4	no	—
366	C₂²	—	38	2	no	—
367	C₂²	—	38	2	no	—
368	C₂²	—	38	4	no	—
369	C₂²	—	38	4	no	—
370	C₂²	#95×D₁₉	1	1	yes	characteristic
371	C₂²	#11926509	1	2	yes	—
372	C₂²	#11926542	1	1	yes	characteristic
373	C₂²	#11926544	1	1	yes	characteristic
374	C₂²	#104×D₁₉	1	2	yes	—
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	8	2	no	—
378	C₄	—	38	2	no	—
379	C₄	—	38	2	no	—
380	C₄	—	38	2	no	—
381	C₄	—	152	2	no	—
382	C₄	#11926498	1	1	yes	characteristic
383	C₄	#11926501	1	1	yes	characteristic
384	C₄	#11926547	1	1	yes	characteristic
385	C₄	#11926551	1	1	yes	characteristic
386	C₄	#11926569	1	2	yes	—
387	C₄	#11926583	1	1	yes	characteristic
388	C₄	#11926585	1	1	yes	characteristic
389	C₂	—	38	4	no	—
390	C₂	#14562045	1	2	yes	—
391	C₂	#14562047	1	2	yes	—
392	C₂	#14563330	1	1	yes	characteristic
393	C₂	D₁₉×#339	1	1	yes	characteristic
394	C₂	#14563353	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	D₄×D₁₉
commutator	C₂×C₄×C₁₉	C₂×C₄²
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1279	C₂
socle	C₂³×C₁₉	C₂×C₂²⋊C₄
prime radical	C₂³×D₁₉	C₂²⋊C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1279	D₁₉
hypocenter	C₁₉	#7895
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ #1279

Complements

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

N	H ≅ G/N	type
4. #14561476	C₂	semidirect
5. #14561475	C₂	semidirect
6. #14561474	C₂	semidirect
7. C₁₉×#1279	C₂	semidirect
14. C₄⋊C₈×D₁₉	C₄	semidirect
16. C₄×#64515	C₄	semidirect
174. #1279	D₁₉	semidirect
266. C₁₉	#7895	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄⋊C₈×D₁₉	2
C₂×C₄×#64515	2
#14566031	2
#14561476	2
#14561475	2
#14561474	2
C₁₉×#1279	2
#7895	19