Subgroups — #18079625

Order 4864.

472 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14572655	C₂	1	1	yes	maximal, characteristic, complemented
2	#14562233	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562069	C₂	1	1	yes	maximal, characteristic, complemented
4	#14561987	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561546	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561524	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3040	C₂	1	1	yes	maximal, characteristic
8	Q₈×C₁₉⋊C₈	—	2	1	no	—
9	#11926622	—	2	2	no	—
10	#11926622	—	2	1	no	—
11	#11926601	—	2	1	no	—
12	#11926601	C₂²	1	1	yes	characteristic
13	#11926601	C₂²	1	1	yes	characteristic
14	#11926597	C₂²	1	1	yes	characteristic
15	C₄×#64520	—	2	1	no	—
16	C₄×#64520	C₂²	1	1	yes	characteristic
17	#11926284	—	2	1	no	—
18	#11926284	—	2	1	no	—
19	Q₈⋊(C₁₉⋊C₈)	—	2	1	no	—
20	D₄⋊(C₁₉⋊C₈)	—	2	1	no	—
21	#11926268	—	2	2	no	—
22	C₂×C₁₉×#137	C₄	1	1	yes	characteristic
23	C₂×C₁₉×AGL(1,ℤ/8)	C₄	1	1	yes	characteristic
24	C₂×C₁₉×#124	C₂²	1	1	yes	characteristic
25	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
26	C₁₉×#464	—	2	1	no	—
27	C₁₉×#464	—	2	1	no	—
28	C₁₉×#463	—	2	1	no	—
29	C₁₉×#463	—	2	1	no	—
30	C₁₉×#423	C₂²	1	1	yes	characteristic
31	C₁₉×#419	C₄	1	1	yes	characteristic
32	C₁₉×#418	C₄	1	1	yes	characteristic
33	C₂×#41×C₁₉	C₂×C₄	1	1	yes	characteristic
34	C₂²×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
35	C₂²×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
36	C₁₉×#137	—	4	2	no	—
37	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
38	C₂×Q₁₆×C₁₉	—	2	1	no	—
39	C₂×SD₁₆×C₁₉	—	2	1	no	—
40	C₂×SD₁₆×C₁₉	—	2	1	no	—
41	C₂×D₈×C₁₉	—	2	1	no	—
42	C₂×M₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
43	C₂×M₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
44	C₁₉×#124	—	2	1	no	—
45	C₁₉×#124	—	2	1	no	—
46	C₁₉×#124	—	2	1	no	—
47	C₁₉×#124	—	2	1	no	—
48	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
49	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
50	C₄×D₄×C₁₉	—	2	1	no	—
51	C₄×D₄×C₁₉	—	2	1	no	—
52	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
53	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
54	C₁₉×#117	—	2	1	no	—
55	C₁₉×#117	C₂×C₄	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
57	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
58	C₂×C₄²×C₁₉	—	2	1	no	—
59	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
60	C₂×#64520	—	2	2	no	—
61	C₂×#64520	—	2	1	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×#103	—	2	1	no	—
65	C₁₉×#103	—	2	1	no	—
66	C₁₉×#102	—	2	1	no	—
67	C₁₉×#102	—	2	1	no	—
68	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
69	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
70	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
71	C₂²⋊(C₁₉⋊C₈)	D₄	1	2	yes	—
72	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
73	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
74	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
75	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
76	#10597260	—	2	1	no	—
77	#10597260	—	2	1	no	—
78	#10597260	D₄	1	1	yes	characteristic
79	#10597260	D₄	1	1	yes	characteristic
80	C₄×C₁₉⋊C₈	—	2	2	no	—
81	C₄×C₁₉⋊C₈	—	2	1	no	—
82	C₄×C₁₉⋊C₈	—	2	1	no	—
83	C₂⁴×C₁₉	—	2	1	no	—
84	#41×C₁₉	—	2	2	no	—
85	#41×C₁₉	—	4	1	no	—
86	C₂×Q₈×C₁₉	—	2	1	no	—
87	C₂×Q₈×C₁₉	—	2	1	no	—
88	C₂×Q₈×C₁₉	—	4	1	no	—
89	C₂×Q₈×C₁₉	—	4	1	no	—
90	C₂×Q₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
91	C₂×D₄×C₁₉	—	2	1	no	—
92	C₂×D₄×C₁₉	—	2	1	no	—
93	C₂×D₄×C₁₉	—	2	1	no	—
94	C₂×D₄×C₁₉	—	4	1	no	—
95	C₂×D₄×C₁₉	—	4	1	no	—
96	C₂×D₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₉	—	2	1	no	—
98	C₂²×C₄×C₁₉	—	2	1	no	—
99	C₂²×C₄×C₁₉	—	2	1	no	—
100	C₂²×C₄×C₁₉	—	2	1	no	—
101	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
102	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
104	Q₁₆×C₁₉	—	4	2	no	—
105	SD₁₆×C₁₉	—	4	2	no	—
106	SD₁₆×C₁₉	—	4	2	no	—
107	D₈×C₁₉	—	4	2	no	—
108	M₁₆×C₁₉	—	4	1	no	—
109	M₁₆×C₁₉	—	4	1	no	—
110	C₂×C₈×C₁₉	—	2	1	no	—
111	C₂×C₈×C₁₉	—	2	1	no	—
112	C₄⋊C₄×C₁₉	—	2	1	no	—
113	C₄⋊C₄×C₁₉	—	2	1	no	—
114	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
115	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
116	C₂²⋊C₄×C₁₉	—	2	1	no	—
117	C₂²⋊C₄×C₁₉	—	2	1	no	—
118	C₂²⋊C₄×C₁₉	—	2	1	no	—
119	C₂²⋊C₄×C₁₉	—	4	1	no	—
120	C₂²⋊C₄×C₁₉	—	4	1	no	—
121	C₂²⋊C₄×C₁₉	—	4	1	no	—
122	C₂²⋊C₄×C₁₉	—	4	1	no	—
123	C₄²×C₁₉	—	2	1	no	—
124	C₄²×C₁₉	—	2	1	no	—
125	C₄²×C₁₉	—	2	1	no	—
126	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
129	C₄²×C₁₉	#41	1	1	yes	characteristic
130	#64520	—	4	2	no	—
131	#64520	—	4	4	no	—
132	C₂×C₁₉⋊C₈	—	2	1	no	—
133	C₂×C₁₉⋊C₈	—	2	2	no	—
134	C₂×C₁₉⋊C₈	—	2	1	no	—
135	C₂×C₁₉⋊C₈	—	4	1	no	—
136	C₂×C₁₉⋊C₈	—	4	1	no	—
137	#9350	—	19	1	no	maximal, Sylow
138	C₂³×C₁₉	—	2	1	no	—
139	C₂³×C₁₉	—	4	2	no	—
140	C₂³×C₁₉	—	4	1	no	—
141	C₂³×C₁₉	—	8	1	no	—
142	C₂³×C₁₉	—	8	1	no	—
143	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
144	Q₈×C₁₉	—	2	1	no	—
145	Q₈×C₁₉	—	4	1	no	—
146	Q₈×C₁₉	—	4	1	no	—
147	Q₈×C₁₉	—	8	1	no	—
148	Q₈×C₁₉	#100	1	2	yes	—
149	D₄×C₁₉	—	2	1	no	—
150	D₄×C₁₉	—	2	1	no	—
151	D₄×C₁₉	—	4	2	no	—
152	D₄×C₁₉	—	4	1	no	—
153	D₄×C₁₉	—	4	1	no	—
154	D₄×C₁₉	—	8	1	no	—
155	C₂×C₄×C₁₉	—	2	1	no	—
156	C₂×C₄×C₁₉	—	2	1	no	—
157	C₂×C₄×C₁₉	—	2	1	no	—
158	C₂×C₄×C₁₉	—	2	1	no	—
159	C₂×C₄×C₁₉	—	2	1	no	—
160	C₂×C₄×C₁₉	—	4	1	no	—
161	C₂×C₄×C₁₉	—	4	1	no	—
162	C₂×C₄×C₁₉	—	4	2	no	—
163	C₂×C₄×C₁₉	—	4	2	no	—
164	C₂×C₄×C₁₉	—	4	1	no	—
165	C₂×C₄×C₁₉	—	8	1	no	—
166	C₂×C₄×C₁₉	—	8	1	no	—
167	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
168	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
169	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
170	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
171	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
172	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
173	C₈×C₁₉	—	4	1	no	—
174	C₈×C₁₉	—	4	1	no	—
175	C₁₉⋊C₈	—	2	2	no	—
176	C₁₉⋊C₈	—	4	2	no	—
177	C₁₉⋊C₈	—	4	1	no	—
178	C₁₉⋊C₈	—	8	1	no	—
179	C₁₉⋊C₈	—	8	1	no	—
180	#3040	D₁₉	1	1	yes	characteristic
181	#2971	—	19	1	no	—
182	#1527	—	19	1	no	—
183	#1488	—	19	1	no	—
184	#1469	—	19	1	no	—
185	#1307	—	19	1	no	—
186	#1299	—	19	1	no	—
187	C₂²×C₁₉	—	2	1	no	—
188	C₂²×C₁₉	—	2	1	no	—
189	C₂²×C₁₉	—	2	1	no	—
190	C₂²×C₁₉	—	4	1	no	—
191	C₂²×C₁₉	—	4	1	no	—
192	C₂²×C₁₉	—	4	1	no	—
193	C₂²×C₁₉	—	8	1	no	—
194	C₂²×C₁₉	—	8	1	no	—
195	C₂²×C₁₉	—	8	1	no	—
196	C₂²×C₁₉	—	16	2	no	—
197	C₂²×C₁₉	#386	1	1	yes	characteristic
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	2	1	no	—
200	C₄×C₁₉	—	2	1	no	—
201	C₄×C₁₉	—	2	2	no	—
202	C₄×C₁₉	—	2	1	no	—
203	C₄×C₁₉	—	2	1	no	—
204	C₄×C₁₉	—	4	1	no	—
205	C₄×C₁₉	—	4	1	no	—
206	C₄×C₁₉	—	8	1	no	—
207	C₄×C₁₉	C₂×#100	1	1	yes	characteristic
208	C₄×C₁₉	#413	1	1	yes	characteristic
209	C₂×#137	Dic₁₉	1	1	yes	characteristic
210	C₂×AGL(1,ℤ/8)	Dic₁₉	1	1	yes	characteristic
211	C₂×#124	C₂×D₁₉	1	1	yes	characteristic
212	C₄×#41	C₂×D₁₉	1	1	yes	characteristic
213	#464	—	2	1	no	—
214	#464	—	2	1	no	—
215	#463	—	2	1	no	—
216	#463	—	2	1	no	—
217	C₈×Q₈	—	38	1	no	—
218	#436	—	38	2	no	—
219	#436	—	38	1	no	—
220	#432	—	19	1	no	—
221	#432	—	19	1	no	—
222	#432	—	38	1	no	—
223	#431	—	19	1	no	—
224	#423	C₂×D₁₉	1	1	yes	characteristic
225	#419	Dic₁₉	1	1	yes	characteristic
226	#418	Dic₁₉	1	1	yes	characteristic
227	C₄×M₁₆	—	19	1	no	—
228	C₄×M₁₆	—	38	1	no	—
229	#329	—	38	1	no	—
230	#329	—	38	1	no	—
231	Q₈⋊C₈	—	38	1	no	—
232	D₄⋊C₈	—	38	1	no	—
233	#323	—	38	2	no	—
234	C₂×C₁₉	—	4	1	no	—
235	C₂×C₁₉	—	8	1	no	—
236	C₂×C₁₉	—	16	1	no	—
237	C₂×C₁₉	#1881	1	1	yes	characteristic
238	C₂×C₁₉	#1900	1	1	yes	characteristic
239	C₂×C₁₉	#1906	1	1	yes	characteristic
240	C₂×#41	C₂×Dic₁₉	1	1	yes	characteristic
241	C₂²×Q₈	C₂×Dic₁₉	1	1	yes	characteristic
242	C₂²×D₄	C₂×Dic₁₉	1	1	yes	characteristic
243	#137	—	4	2	no	—
244	AGL(1,ℤ/8)	—	4	2	no	—
245	C₂×Q₁₆	—	2	1	no	—
246	C₂×SD₁₆	—	2	1	no	—
247	C₂×SD₁₆	—	2	1	no	—
248	C₂×D₈	—	2	1	no	—
249	C₂×M₁₆	—	38	2	no	—
250	C₂×M₁₆	—	38	1	no	—
251	C₂×M₁₆	C₂×Dic₁₉	1	1	yes	characteristic
252	C₂×M₁₆	C₂×Dic₁₉	1	1	yes	characteristic
253	#124	—	2	1	no	—
254	#124	—	2	1	no	—
255	#124	—	2	1	no	—
256	#124	—	2	1	no	—
257	C₄×Q₈	C₂²⋊D₁₉	1	1	yes	characteristic
258	C₄×Q₈	C₂²⋊D₁₉	1	1	yes	characteristic
259	C₄×D₄	—	2	1	no	—
260	C₄×D₄	—	2	1	no	—
261	C₄×D₄	C₂²⋊D₁₉	1	1	yes	characteristic
262	C₄×D₄	C₂²⋊D₁₉	1	1	yes	characteristic
263	#117	—	2	1	no	—
264	#117	C₂×Dic₁₉	1	1	yes	characteristic
265	C₂×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₄²	—	2	1	no	—
268	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	2	1	no	—
271	C₄⋊C₈	—	38	2	no	—
272	C₄⋊C₈	—	38	1	no	—
273	C₄⋊C₈	—	38	1	no	—
274	C₄⋊C₈	—	38	1	no	—
275	#103	—	2	1	no	—
276	#103	—	2	1	no	—
277	#102	—	2	1	no	—
278	#102	—	2	1	no	—
279	C₂²⋊C₈	—	19	2	no	—
280	C₂²⋊C₈	—	38	2	no	—
281	C₂²⋊C₈	—	38	1	no	—
282	C₂²⋊C₈	—	38	1	no	—
283	#97	—	19	1	no	—
284	#97	—	19	1	no	—
285	#97	—	38	1	no	—
286	#97	—	38	1	no	—
287	C₄×C₈	—	38	2	no	—
288	C₄×C₈	—	38	1	no	—
289	C₄×C₈	—	38	1	no	—
290	C₁₉	#9350	1	1	yes	characteristic, complemented, Sylow
291	C₂⁴	—	2	1	no	—
292	#41	—	2	2	no	—
293	#41	—	4	1	no	—
294	C₂×Q₈	—	2	1	no	—
295	C₂×Q₈	—	2	1	no	—
296	C₂×Q₈	—	4	1	no	—
297	C₂×Q₈	—	4	1	no	—
298	C₂×Q₈	C₂²⋊Dic₁₉	1	1	yes	characteristic
299	C₂×D₄	—	2	1	no	—
300	C₂×D₄	—	2	1	no	—
301	C₂×D₄	—	2	1	no	—
302	C₂×D₄	—	4	1	no	—
303	C₂×D₄	—	4	1	no	—
304	C₂×D₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
305	C₂²×C₄	—	2	1	no	—
306	C₂²×C₄	—	2	1	no	—
307	C₂²×C₄	—	2	1	no	—
308	C₂²×C₄	—	2	1	no	—
309	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
310	C₂²×C₄	#64543	1	1	yes	characteristic
311	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
312	Q₁₆	—	4	2	no	—
313	SD₁₆	—	4	2	no	—
314	SD₁₆	—	4	2	no	—
315	D₈	—	4	2	no	—
316	M₁₆	—	4	1	no	—
317	M₁₆	—	4	1	no	—
318	M₁₆	—	76	2	no	—
319	M₁₆	—	76	4	no	—
320	C₂×C₈	—	2	1	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	38	1	no	—
323	C₂×C₈	—	38	1	no	—
324	C₂×C₈	—	38	2	no	—
325	C₂×C₈	—	76	1	no	—
326	C₂×C₈	—	76	1	no	—
327	C₄⋊C₄	—	2	1	no	—
328	C₄⋊C₄	—	2	1	no	—
329	C₄⋊C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
330	C₄⋊C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
331	C₂²⋊C₄	—	2	1	no	—
332	C₂²⋊C₄	—	2	1	no	—
333	C₂²⋊C₄	—	2	1	no	—
334	C₂²⋊C₄	—	4	1	no	—
335	C₂²⋊C₄	—	4	1	no	—
336	C₂²⋊C₄	—	4	1	no	—
337	C₂²⋊C₄	—	4	1	no	—
338	C₄²	—	2	1	no	—
339	C₄²	—	2	1	no	—
340	C₄²	—	2	1	no	—
341	C₄²	D₄×D₁₉	1	1	yes	characteristic
342	C₄²	#64543	1	1	yes	characteristic
343	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
344	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
345	C₂³	—	2	1	no	—
346	C₂³	—	4	2	no	—
347	C₂³	—	4	1	no	—
348	C₂³	—	8	1	no	—
349	C₂³	—	8	1	no	—
350	C₂³	D₄×Dic₁₉	1	1	yes	characteristic
351	Q₈	—	2	1	no	—
352	Q₈	—	4	1	no	—
353	Q₈	—	4	1	no	—
354	Q₈	—	8	1	no	—
355	Q₈	#10597290	1	2	yes	—
356	D₄	—	2	1	no	—
357	D₄	—	2	1	no	—
358	D₄	—	4	2	no	—
359	D₄	—	4	1	no	—
360	D₄	—	4	1	no	—
361	D₄	—	8	1	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	2	1	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	8	1	no	—
373	C₂×C₄	—	8	1	no	—
374	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
375	C₂×C₄	#10597381	1	1	yes	characteristic
376	C₂×C₄	#10597383	1	1	yes	characteristic
377	C₂×C₄	#10597385	1	1	yes	characteristic
378	C₂×C₄	#10597385	1	1	yes	characteristic
379	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
380	C₈	—	4	1	no	—
381	C₈	—	4	1	no	—
382	C₈	—	38	2	no	—
383	C₈	—	76	1	no	—
384	C₈	—	76	2	no	—
385	C₈	—	152	1	no	—
386	C₈	—	152	1	no	—
387	C₂²	—	2	1	no	—
388	C₂²	—	2	1	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	4	1	no	—
391	C₂²	—	4	1	no	—
392	C₂²	—	4	1	no	—
393	C₂²	—	8	1	no	—
394	C₂²	—	8	1	no	—
395	C₂²	—	8	1	no	—
396	C₂²	—	16	2	no	—
397	C₂²	#11926424	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	2	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	2	1	no	—
403	C₄	—	2	1	no	—
404	C₄	—	4	1	no	—
405	C₄	—	4	1	no	—
406	C₄	—	8	1	no	—
407	C₄	C₂×#10597290	1	1	yes	characteristic
408	C₄	#11926528	1	1	yes	characteristic
409	C₂	—	4	1	no	—
410	C₂	—	8	1	no	—
411	C₂	—	16	1	no	—
412	C₂	#14563999	1	1	yes	characteristic
413	C₂	#14564099	1	1	yes	characteristic
414	C₂	#14564138	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#11926424
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#3040	C₂
socle	C₂²×C₁₉	#386
prime radical	C₂×C₁₉×AGL(1,ℤ/8)	C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#3040	D₁₉
hypocenter	C₁₉	#9350
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3040

Complements

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

N	H ≅ G/N	type
1. #14572655	C₂	semidirect
2. #14562233	C₂	semidirect
3. #14562069	C₂	semidirect
4. #14561987	C₂	semidirect
5. #14561546	C₂	semidirect
6. #14561524	C₂	semidirect
290. C₁₉	#9350	semidirect

Maximal subgroups

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

subgroup	index
#14572655	2
#14562233	2
#14562069	2
#14561987	2
#14561546	2
#14561524	2
C₁₉×#3040	2
#9350	19