Subgroups — #18078490

Order 4864.

548 conjugacy classes of subgroups.

The subgroup lattice has 420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14566608	C₂	1	1	yes	maximal, characteristic, complemented
2	#14562195	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562130	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562026	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561536	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561495	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3036	C₂	1	1	yes	maximal, characteristic
8	#11926597	C₂²	1	1	yes	characteristic
9	#11926597	C₂²	1	1	yes	characteristic
10	#11926447	—	2	1	no	—
11	#11926437	—	2	2	no	—
12	#11926410	C₂²	1	1	yes	characteristic
13	#11926407	—	2	1	no	—
14	C₄⋊C₄×Dic₁₉	—	2	1	no	—
15	C₄×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
16	C₄×C₂²⋊Dic₁₉	—	2	1	no	—
17	#11926278	—	2	1	no	—
18	#11926278	—	2	1	no	—
19	#11926278	—	2	2	no	—
20	D₄⋊(C₁₉⋊C₈)	—	2	2	no	—
21	C₂×C₁₉×AGL(1,ℤ/8)	—	2	1	no	—
22	C₁₉×#532	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
24	C₁₉×#463	—	2	2	no	—
25	C₁₉×#461	C₄	1	2	yes	complemented
26	C₁₉×#459	C₄	1	2	yes	complemented
27	C₁₉×#423	C₂²	1	1	yes	characteristic
28	C₁₉×#417	—	2	1	no	—
29	C₂×#41×C₁₉	—	2	1	no	—
30	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₉	—	2	1	no	—
32	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
33	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
34	C₂×SD₁₆×C₁₉	—	2	2	no	—
35	C₂×D₈×C₁₉	—	2	2	no	—
36	C₂×M₁₆×C₁₉	—	2	1	no	—
37	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
38	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
39	C₁₉×#124	—	2	1	no	—
40	C₁₉×#121	—	2	1	no	—
41	C₁₉×#121	—	2	1	no	—
42	C₄×D₄×C₁₉	—	2	1	no	—
43	C₄×D₄×C₁₉	—	2	1	no	—
44	C₄×D₄×C₁₉	—	2	1	no	—
45	C₄×D₄×C₁₉	—	2	1	no	—
46	C₄×D₄×C₁₉	C₂×C₄	1	2	yes	—
47	C₄×D₄×C₁₉	D₄	1	2	yes	—
48	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
50	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
51	C₂×C₂²⋊Dic₁₉	—	2	2	no	—
52	C₂×C₂²⋊Dic₁₉	—	2	2	no	—
53	C₂×C₄⋊Dic₁₉	—	2	1	no	—
54	C₂×C₄⋊Dic₁₉	—	2	1	no	—
55	C₂×C₄×Dic₁₉	—	2	1	no	—
56	C₂×C₄×Dic₁₉	—	2	2	no	—
57	C₁₉×C₄⋊C₈	—	2	1	no	—
58	C₁₉×C₄⋊C₈	C₂×C₄	1	2	yes	—
59	C₁₉×#103	—	2	2	no	—
60	C₁₉×#102	—	2	2	no	—
61	C₁₉⋊#95	—	2	2	no	—
62	C₁₉⋊#95	—	2	1	no	—
63	C₁₉⋊#95	D₄	1	1	yes	characteristic
64	C₁₉⋊#95	D₄	1	1	yes	characteristic
65	C₁₉⋊#95	D₄	1	2	yes	—
66	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
68	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
69	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
70	C₄×C₁₉⋊C₈	—	2	1	no	—
71	C₄×C₁₉⋊C₈	—	2	1	no	—
72	C₂⁴×C₁₉	—	2	1	no	—
73	#41×C₁₉	—	4	1	no	—
74	#41×C₁₉	—	4	1	no	—
75	#41×C₁₉	—	4	1	no	—
76	#41×C₁₉	—	4	1	no	—
77	C₂×Q₈×C₁₉	—	2	1	no	—
78	C₂×D₄×C₁₉	—	2	1	no	—
79	C₂×D₄×C₁₉	—	2	1	no	—
80	C₂×D₄×C₁₉	—	2	1	no	—
81	C₂×D₄×C₁₉	—	2	1	no	—
82	C₂×D₄×C₁₉	—	2	1	no	—
83	C₂×D₄×C₁₉	—	2	1	no	—
84	C₂×D₄×C₁₉	—	2	1	no	—
85	C₂×D₄×C₁₉	—	2	1	no	—
86	C₂×D₄×C₁₉	—	4	1	no	—
87	C₂×D₄×C₁₉	C₂²⋊C₄	1	2	yes	—
88	C₂²×C₄×C₁₉	—	2	1	no	—
89	C₂²×C₄×C₁₉	—	2	2	no	—
90	C₂²×C₄×C₁₉	—	2	2	no	—
91	C₂²×C₄×C₁₉	—	4	1	no	—
92	C₂²×C₄×C₁₉	—	8	2	no	—
93	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×Dic₁₉	—	2	1	no	—
97	C₂²×Dic₁₉	—	2	2	no	—
98	C₂²×Dic₁₉	—	2	1	no	—
99	SD₁₆×C₁₉	—	4	4	no	—
100	D₈×C₁₉	—	4	4	no	—
101	M₁₆×C₁₉	—	4	1	no	—
102	M₁₆×C₁₉	—	4	1	no	—
103	C₂×C₈×C₁₉	—	2	2	no	—
104	C₄⋊C₄×C₁₉	—	2	1	no	—
105	C₄⋊C₄×C₁₉	—	2	1	no	—
106	C₄⋊C₄×C₁₉	—	2	1	no	—
107	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
108	C₂²⋊C₄×C₁₉	—	2	2	no	—
109	C₂²⋊C₄×C₁₉	—	2	2	no	—
110	C₂²⋊C₄×C₁₉	—	4	1	no	—
111	C₂²⋊C₄×C₁₉	—	4	1	no	—
112	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
113	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₁₉	#41	1	1	yes	characteristic
115	C₄²×C₁₉	#41	1	1	yes	characteristic
116	C₂²⋊Dic₁₉	—	4	4	no	—
117	C₂²⋊Dic₁₉	—	8	2	no	—
118	C₄⋊Dic₁₉	—	4	2	no	—
119	C₄⋊Dic₁₉	—	4	1	no	—
120	C₄⋊Dic₁₉	—	4	1	no	—
121	C₄×Dic₁₉	—	4	1	no	—
122	C₄×Dic₁₉	—	4	1	no	—
123	C₄×Dic₁₉	—	8	2	no	—
124	C₂×C₁₉⋊C₈	—	4	1	no	—
125	C₂×C₁₉⋊C₈	—	4	1	no	—
126	#9181	—	19	1	no	maximal, Sylow
127	C₂³×C₁₉	—	2	2	no	—
128	C₂³×C₁₉	—	4	2	no	—
129	C₂³×C₁₉	—	4	2	no	—
130	C₂³×C₁₉	—	4	1	no	—
131	C₂³×C₁₉	—	4	1	no	—
132	C₂³×C₁₉	—	4	1	no	—
133	C₂³×C₁₉	#120	1	1	yes	characteristic
134	Q₈×C₁₉	—	4	1	no	—
135	Q₈×C₁₉	—	4	1	no	—
136	D₄×C₁₉	—	2	2	no	—
137	D₄×C₁₉	—	2	2	no	—
138	D₄×C₁₉	—	4	1	no	—
139	D₄×C₁₉	—	4	1	no	—
140	D₄×C₁₉	—	4	1	no	—
141	D₄×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	8	1	no	—
143	D₄×C₁₉	—	8	1	no	—
144	D₄×C₁₉	—	8	1	no	—
145	D₄×C₁₉	—	8	1	no	—
146	C₂×C₄×C₁₉	—	2	2	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	8	2	no	—
152	C₂×C₄×C₁₉	—	8	2	no	—
153	C₂×C₄×C₁₉	—	8	1	no	—
154	C₂×C₄×C₁₉	—	8	1	no	—
155	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
163	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
164	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
165	C₂×Dic₁₉	—	2	2	no	—
166	C₂×Dic₁₉	—	4	1	no	—
167	C₂×Dic₁₉	—	4	1	no	—
168	C₂×Dic₁₉	—	4	2	no	—
169	C₂×Dic₁₉	—	4	1	no	—
170	C₂×Dic₁₉	—	4	2	no	—
171	C₂×Dic₁₉	—	4	1	no	—
172	C₂×Dic₁₉	—	4	1	no	—
173	C₂×Dic₁₉	—	4	2	no	—
174	C₈×C₁₉	—	4	2	no	—
175	C₁₉⋊C₈	—	8	1	no	—
176	C₁₉⋊C₈	—	8	1	no	—
177	#3036	D₁₉	1	1	yes	characteristic
178	#2357	—	19	1	no	—
179	#1517	—	19	1	no	—
180	#1502	—	19	1	no	—
181	#1478	—	19	1	no	—
182	#1303	—	19	1	no	—
183	#1286	—	19	1	no	—
184	C₂²×C₁₉	—	2	1	no	—
185	C₂²×C₁₉	—	2	1	no	—
186	C₂²×C₁₉	—	4	2	no	—
187	C₂²×C₁₉	—	4	2	no	—
188	C₂²×C₁₉	—	4	2	no	—
189	C₂²×C₁₉	—	8	2	no	—
190	C₂²×C₁₉	—	8	2	no	—
191	C₂²×C₁₉	—	8	1	no	—
192	C₂²×C₁₉	—	8	1	no	—
193	C₂²×C₁₉	—	8	1	no	—
194	C₂²×C₁₉	#386	1	1	yes	characteristic
195	C₂²×C₁₉	#449	1	1	yes	characteristic
196	C₂²×C₁₉	#449	1	1	yes	characteristic
197	C₄×C₁₉	—	2	1	no	—
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	2	1	no	—
200	C₄×C₁₉	—	2	1	no	—
201	C₄×C₁₉	—	4	2	no	—
202	C₄×C₁₉	—	8	1	no	—
203	C₄×C₁₉	#416	1	1	yes	characteristic
204	C₄×C₁₉	#418	1	1	yes	characteristic
205	C₄×C₁₉	#482	1	1	yes	characteristic
206	C₄×C₁₉	#482	1	1	yes	characteristic
207	Dic₁₉	—	4	2	no	—
208	Dic₁₉	—	8	1	no	—
209	Dic₁₉	—	8	2	no	—
210	C₂×AGL(1,ℤ/8)	—	2	1	no	—
211	#532	C₂×D₁₉	1	1	yes	characteristic
212	C₂×C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
213	#463	—	2	2	no	—
214	#461	Dic₁₉	1	2	yes	complemented
215	#459	Dic₁₉	1	2	yes	complemented
216	#431	—	19	1	no	—
217	#431	—	19	1	no	—
218	#423	C₂×D₁₉	1	1	yes	characteristic
219	#417	—	2	1	no	—
220	#390	—	38	1	no	—
221	#388	—	38	2	no	—
222	#382	—	19	1	no	—
223	#381	—	38	1	no	—
224	C₄×C₄⋊C₄	—	19	1	no	—
225	C₄×C₄⋊C₄	—	38	1	no	—
226	C₄×C₂²⋊C₄	—	38	1	no	—
227	#327	—	38	1	no	—
228	#327	—	38	1	no	—
229	#327	—	38	2	no	—
230	D₄⋊C₈	—	38	2	no	—
231	C₂×C₁₉	—	2	1	no	—
232	C₂×C₁₉	—	2	1	no	—
233	C₂×C₁₉	—	8	2	no	—
234	C₂×C₁₉	—	16	1	no	—
235	C₂×C₁₉	#1875	1	1	yes	characteristic
236	C₂×C₁₉	#1904	1	1	yes	characteristic
237	C₂×C₁₉	#1906	1	1	yes	characteristic
238	C₂×#41	—	2	1	no	—
239	C₂²×D₄	C₂²⋊D₁₉	1	1	yes	characteristic
240	C₂³×C₄	—	2	1	no	—
241	AGL(1,ℤ/8)	—	4	2	no	—
242	AGL(1,ℤ/8)	—	4	2	no	—
243	C₂×SD₁₆	—	2	2	no	—
244	C₂×D₈	—	2	2	no	—
245	C₂×M₁₆	—	2	1	no	—
246	C₄⋊Q₈	C₂×Dic₁₉	1	1	yes	characteristic
247	#127	C₂×Dic₁₉	1	1	yes	characteristic
248	#124	—	2	1	no	—
249	#121	—	2	1	no	—
250	#121	—	2	1	no	—
251	C₄×D₄	—	2	1	no	—
252	C₄×D₄	—	2	1	no	—
253	C₄×D₄	—	2	1	no	—
254	C₄×D₄	—	2	1	no	—
255	C₄×D₄	C₂×Dic₁₉	1	2	yes	—
256	C₄×D₄	C₂²⋊D₁₉	1	2	yes	—
257	C₂×C₄⋊C₄	—	38	1	no	—
258	C₂×C₄⋊C₄	—	38	1	no	—
259	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	1	yes	characteristic
260	C₂×C₂²⋊C₄	—	2	1	no	—
261	C₂×C₂²⋊C₄	—	38	2	no	—
262	C₂×C₂²⋊C₄	—	38	2	no	—
263	C₂×C₄²	—	38	1	no	—
264	C₂×C₄²	—	38	2	no	—
265	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
266	C₄⋊C₈	—	2	1	no	—
267	C₄⋊C₈	—	38	1	no	—
268	C₄⋊C₈	—	38	1	no	—
269	C₄⋊C₈	C₂×Dic₁₉	1	2	yes	—
270	#103	—	2	2	no	—
271	#102	—	2	2	no	—
272	C₂²⋊C₈	—	38	1	no	—
273	C₂²⋊C₈	—	38	1	no	—
274	C₄×C₈	—	38	1	no	—
275	C₄×C₈	—	38	1	no	—
276	#95	—	19	1	no	—
277	#95	—	19	1	no	—
278	#95	—	19	2	no	—
279	#95	—	38	2	no	—
280	#95	—	38	1	no	—
281	C₁₉	#9181	1	1	yes	characteristic, complemented, Sylow
282	C₂⁴	—	2	1	no	—
283	#41	—	4	1	no	—
284	#41	—	4	1	no	—
285	#41	—	4	1	no	—
286	#41	—	4	1	no	—
287	C₂×Q₈	—	2	1	no	—
288	C₂×D₄	—	2	1	no	—
289	C₂×D₄	—	2	1	no	—
290	C₂×D₄	—	2	1	no	—
291	C₂×D₄	—	2	1	no	—
292	C₂×D₄	—	2	1	no	—
293	C₂×D₄	—	2	1	no	—
294	C₂×D₄	—	2	1	no	—
295	C₂×D₄	—	2	1	no	—
296	C₂×D₄	—	4	1	no	—
297	C₂×D₄	C₂²⋊Dic₁₉	1	2	yes	—
298	C₂²×C₄	—	2	1	no	—
299	C₂²×C₄	—	2	2	no	—
300	C₂²×C₄	—	2	2	no	—
301	C₂²×C₄	—	4	1	no	—
302	C₂²×C₄	—	8	2	no	—
303	C₂²×C₄	—	38	1	no	—
304	C₂²×C₄	—	38	2	no	—
305	C₂²×C₄	—	38	1	no	—
306	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
307	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
308	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
309	SD₁₆	—	4	4	no	—
310	D₈	—	4	4	no	—
311	M₁₆	—	4	1	no	—
312	M₁₆	—	4	1	no	—
313	C₂×C₈	—	2	2	no	—
314	C₂×C₈	—	76	1	no	—
315	C₂×C₈	—	76	1	no	—
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	2	1	no	—
318	C₄⋊C₄	—	2	1	no	—
319	C₄⋊C₄	—	76	2	no	—
320	C₄⋊C₄	—	76	1	no	—
321	C₄⋊C₄	—	76	1	no	—
322	C₄⋊C₄	C₂²⋊Dic₁₉	1	2	yes	—
323	C₂²⋊C₄	—	2	2	no	—
324	C₂²⋊C₄	—	2	2	no	—
325	C₂²⋊C₄	—	4	1	no	—
326	C₂²⋊C₄	—	4	1	no	—
327	C₂²⋊C₄	—	76	4	no	—
328	C₂²⋊C₄	—	152	2	no	—
329	C₄²	—	76	1	no	—
330	C₄²	—	76	1	no	—
331	C₄²	—	152	2	no	—
332	C₄²	#64543	1	1	yes	characteristic
333	C₄²	#64543	1	1	yes	characteristic
334	C₄²	C₂²×Dic₁₉	1	1	yes	characteristic
335	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
336	C₂³	—	2	2	no	—
337	C₂³	—	4	2	no	—
338	C₂³	—	4	2	no	—
339	C₂³	—	4	1	no	—
340	C₂³	—	4	1	no	—
341	C₂³	—	4	1	no	—
342	C₂³	#10597383	1	1	yes	characteristic
343	Q₈	—	4	1	no	—
344	Q₈	—	4	1	no	—
345	D₄	—	2	2	no	—
346	D₄	—	2	2	no	—
347	D₄	—	4	1	no	—
348	D₄	—	4	1	no	—
349	D₄	—	4	1	no	—
350	D₄	—	4	1	no	—
351	D₄	—	8	1	no	—
352	D₄	—	8	1	no	—
353	D₄	—	8	1	no	—
354	D₄	—	8	1	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	4	1	no	—
357	C₂×C₄	—	4	1	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	4	1	no	—
360	C₂×C₄	—	8	2	no	—
361	C₂×C₄	—	8	2	no	—
362	C₂×C₄	—	8	1	no	—
363	C₂×C₄	—	8	1	no	—
364	C₂×C₄	—	38	2	no	—
365	C₂×C₄	—	76	1	no	—
366	C₂×C₄	—	76	1	no	—
367	C₂×C₄	—	76	2	no	—
368	C₂×C₄	—	76	2	no	—
369	C₂×C₄	—	76	1	no	—
370	C₂×C₄	—	76	1	no	—
371	C₂×C₄	—	76	1	no	—
372	C₂×C₄	—	76	2	no	—
373	C₂×C₄	#10597378	1	1	yes	characteristic
374	C₂×C₄	#10597378	1	1	yes	characteristic
375	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
376	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
377	C₂×C₄	#10597381	1	1	yes	characteristic
378	C₂×C₄	#10597385	1	1	yes	characteristic
379	C₂×C₄	#10597385	1	1	yes	characteristic
380	C₂×C₄	#10597396	1	1	yes	characteristic
381	C₂×C₄	#10597396	1	1	yes	characteristic
382	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
383	C₈	—	4	2	no	—
384	C₈	—	152	1	no	—
385	C₈	—	152	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	2	1	no	—
388	C₂²	—	4	2	no	—
389	C₂²	—	4	2	no	—
390	C₂²	—	4	2	no	—
391	C₂²	—	8	2	no	—
392	C₂²	—	8	2	no	—
393	C₂²	—	8	1	no	—
394	C₂²	—	8	1	no	—
395	C₂²	—	8	1	no	—
396	C₂²	#11926424	1	1	yes	characteristic
397	C₂²	#11926687	1	1	yes	characteristic
398	C₂²	#11926687	1	1	yes	characteristic
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	2	1	no	—
403	C₄	—	4	2	no	—
404	C₄	—	8	1	no	—
405	C₄	—	76	2	no	—
406	C₄	—	152	1	no	—
407	C₄	—	152	2	no	—
408	C₄	#11926540	1	1	yes	characteristic
409	C₄	#11926549	1	1	yes	characteristic
410	C₄	#11926865	1	1	yes	characteristic
411	C₄	#11926865	1	1	yes	characteristic
412	C₂	—	2	1	no	—
413	C₂	—	2	1	no	—
414	C₂	—	8	2	no	—
415	C₂	—	16	1	no	—
416	C₂	#14563958	1	1	yes	characteristic
417	C₂	#14564124	1	1	yes	characteristic
418	C₂	#14564138	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#11926424
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting, prime radical	C₁₉×#3036	C₂
socle	C₂²×C₁₉	#386
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#3036	D₁₉
hypocenter	C₁₉	#9181
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3036

Complements

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

N	H ≅ G/N	type
1. #14566608	C₂	semidirect
2. #14562195	C₂	semidirect
3. #14562130	C₂	semidirect
4. #14562026	C₂	semidirect
5. #14561536	C₂	semidirect
6. #14561495	C₂	semidirect
25. C₁₉×#461	C₄	semidirect
26. C₁₉×#459	C₄	semidirect
214. #461	Dic₁₉	semidirect
215. #459	Dic₁₉	semidirect
281. C₁₉	#9181	semidirect

Maximal subgroups

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

subgroup	index
#14566608	2
#14562195	2
#14562130	2
#14562026	2
#14561536	2
#14561495	2
C₁₉×#3036	2
#9181	19