Subgroups — #18078834

Order 4864.

588 conjugacy classes of subgroups.

The subgroup lattice has 434 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14566100	C₂	1	1	yes	maximal, characteristic, complemented
2	#14564464	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562130	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562060	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561537	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561467	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3100	C₂	1	1	yes	maximal, characteristic
8	C₂×#10597372	—	2	1	no	—
9	#11926597	C₂²	1	1	yes	characteristic
10	#11926568	C₂²	1	1	yes	characteristic
11	C₂×#10597294	—	2	1	no	—
12	C₂×#10597294	—	2	1	no	—
13	#11926447	—	2	1	no	—
14	#11926443	—	2	1	no	—
15	#11926437	—	2	2	no	—
16	C₄×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
17	C₄×C₂²⋊Dic₁₉	—	2	1	no	—
18	C₄²×Dic₁₉	C₂²	1	1	yes	characteristic
19	#11926278	—	2	2	no	—
20	D₄⋊(C₁₉⋊C₈)	—	2	2	no	—
21	C₁₉×#532	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
23	C₁₉×#480	—	2	1	no	—
24	C₁₉×#474	C₄	1	2	yes	complemented
25	C₁₉×#459	C₄	1	2	yes	complemented
26	C₁₉×#447	—	2	1	no	—
27	C₄×D₈×C₁₉	—	2	2	no	—
28	C₁₉×#431	C₂²	1	1	yes	characteristic
29	C₂×#41×C₁₉	—	2	1	no	—
30	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₉	—	2	1	no	—
32	C₂×D₈×C₁₉	—	2	2	no	—
33	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
34	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
35	C₁₉×#124	—	2	1	no	—
36	C₁₉×#121	—	2	1	no	—
37	C₁₉×#121	—	2	1	no	—
38	C₄×D₄×C₁₉	—	2	1	no	—
39	C₄×D₄×C₁₉	—	2	1	no	—
40	C₄×D₄×C₁₉	—	2	1	no	—
41	C₄×D₄×C₁₉	—	2	1	no	—
42	C₄×D₄×C₁₉	C₂×C₄	1	2	yes	—
43	C₄×D₄×C₁₉	D₄	1	2	yes	—
44	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
46	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
47	C₂×C₂²⋊Dic₁₉	—	2	2	no	—
48	C₂×C₂²⋊Dic₁₉	—	2	2	no	—
49	#10597372	—	4	2	no	—
50	#10597372	—	4	2	no	—
51	C₂×C₄⋊Dic₁₉	—	2	2	no	—
52	C₂×C₄⋊Dic₁₉	—	2	1	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	D₄	1	1	yes	characteristic
57	C₂×C₄×Dic₁₉	D₄	1	1	yes	characteristic
58	C₂×#64520	—	2	1	no	—
59	C₁₉×#107	—	2	2	no	—
60	C₁₉×C₄⋊C₈	C₂×C₄	1	2	yes	—
61	C₁₉×#102	—	2	2	no	—
62	C₁₉×#102	—	2	2	no	—
63	C₁₉×C₂²⋊C₈	—	2	1	no	—
64	C₄×C₈×C₁₉	—	2	1	no	—
65	#10597294	—	4	2	no	—
66	#10597294	—	4	2	no	—
67	C₁₉⋊#95	—	2	2	no	—
68	C₁₉⋊#95	D₄	1	2	yes	—
69	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
70	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
71	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
72	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
73	C₄×C₁₉⋊C₈	—	2	1	no	—
74	C₂⁴×C₁₉	—	2	1	no	—
75	#41×C₁₉	—	4	1	no	—
76	#41×C₁₉	—	4	1	no	—
77	#41×C₁₉	—	4	1	no	—
78	#41×C₁₉	—	4	1	no	—
79	C₂×Q₈×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	—	4	2	no	—
85	C₂×D₄×C₁₉	—	4	1	no	—
86	C₂×D₄×C₁₉	C₂²⋊C₄	1	2	yes	—
87	C₂²×C₄×C₁₉	—	2	1	no	—
88	C₂²×C₄×C₁₉	—	2	2	no	—
89	C₂²×C₄×C₁₉	—	2	2	no	—
90	C₂²×C₄×C₁₉	—	4	1	no	—
91	C₂²×C₄×C₁₉	—	4	1	no	—
92	C₂²×C₄×C₁₉	—	4	1	no	—
93	C₂²×C₄×C₁₉	—	4	1	no	—
94	C₂²×C₄×C₁₉	—	4	1	no	—
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
98	C₂²×Dic₁₉	—	2	1	no	—
99	C₂²×Dic₁₉	—	2	1	no	—
100	C₂²×Dic₁₉	—	2	2	no	—
101	D₈×C₁₉	—	4	4	no	—
102	C₂×C₈×C₁₉	—	2	2	no	—
103	C₄⋊C₄×C₁₉	—	2	1	no	—
104	C₄⋊C₄×C₁₉	—	2	1	no	—
105	C₄⋊C₄×C₁₉	—	2	1	no	—
106	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
107	C₂²⋊C₄×C₁₉	—	2	2	no	—
108	C₂²⋊C₄×C₁₉	—	2	2	no	—
109	C₂²⋊C₄×C₁₉	—	4	1	no	—
110	C₂²⋊C₄×C₁₉	—	4	1	no	—
111	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
112	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
113	C₄²×C₁₉	#41	1	1	yes	characteristic
114	C₄²×C₁₉	#41	1	1	yes	characteristic
115	C₂²⋊Dic₁₉	—	4	4	no	—
116	C₂²⋊Dic₁₉	—	4	4	no	—
117	C₄⋊Dic₁₉	—	4	4	no	—
118	C₄⋊Dic₁₉	—	4	2	no	—
119	C₄×Dic₁₉	—	2	1	no	—
120	C₄×Dic₁₉	—	2	1	no	—
121	C₄×Dic₁₉	—	2	1	no	—
122	C₄×Dic₁₉	—	4	2	no	—
123	C₄×Dic₁₉	—	4	2	no	—
124	C₄×Dic₁₉	—	4	1	no	—
125	C₄×Dic₁₉	—	4	1	no	—
126	C₄×Dic₁₉	D₈	1	2	yes	complemented
127	#64520	—	4	1	no	—
128	#64520	—	4	1	no	—
129	C₂×C₁₉⋊C₈	—	4	1	no	—
130	C₂×C₁₉⋊C₈	—	4	1	no	—
131	#9237	—	19	1	no	maximal, Sylow
132	C₂³×C₁₉	—	2	2	no	—
133	C₂³×C₁₉	—	4	2	no	—
134	C₂³×C₁₉	—	4	2	no	—
135	C₂³×C₁₉	—	4	1	no	—
136	C₂³×C₁₉	—	4	1	no	—
137	C₂³×C₁₉	—	4	1	no	—
138	C₂³×C₁₉	#120	1	1	yes	characteristic
139	Q₈×C₁₉	—	4	1	no	—
140	Q₈×C₁₉	—	4	1	no	—
141	D₄×C₁₉	—	2	2	no	—
142	D₄×C₁₉	—	2	2	no	—
143	D₄×C₁₉	—	4	2	no	—
144	D₄×C₁₉	—	4	2	no	—
145	D₄×C₁₉	—	4	1	no	—
146	D₄×C₁₉	—	4	1	no	—
147	D₄×C₁₉	—	8	1	no	—
148	D₄×C₁₉	—	8	1	no	—
149	D₄×C₁₉	—	8	1	no	—
150	C₂×C₄×C₁₉	—	2	2	no	—
151	C₂×C₄×C₁₉	—	2	2	no	—
152	C₂×C₄×C₁₉	—	4	1	no	—
153	C₂×C₄×C₁₉	—	4	1	no	—
154	C₂×C₄×C₁₉	—	4	1	no	—
155	C₂×C₄×C₁₉	—	4	2	no	—
156	C₂×C₄×C₁₉	—	4	2	no	—
157	C₂×C₄×C₁₉	—	4	2	no	—
158	C₂×C₄×C₁₉	—	4	2	no	—
159	C₂×C₄×C₁₉	—	4	1	no	—
160	C₂×C₄×C₁₉	—	8	1	no	—
161	C₂×C₄×C₁₉	—	8	1	no	—
162	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
163	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
164	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
165	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
166	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
167	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
168	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
169	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
170	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
171	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
172	C₂×Dic₁₉	—	2	2	no	—
173	C₂×Dic₁₉	—	2	2	no	—
174	C₂×Dic₁₉	—	4	1	no	—
175	C₂×Dic₁₉	—	4	1	no	—
176	C₂×Dic₁₉	—	4	1	no	—
177	C₂×Dic₁₉	—	4	1	no	—
178	C₂×Dic₁₉	—	4	2	no	—
179	C₂×Dic₁₉	—	4	2	no	—
180	C₂×Dic₁₉	—	4	2	no	—
181	C₈×C₁₉	—	4	2	no	—
182	C₁₉⋊C₈	—	8	1	no	—
183	C₁₉⋊C₈	—	8	1	no	—
184	#3100	D₁₉	1	1	yes	characteristic
185	#2293	—	19	1	no	—
186	#1962	—	19	1	no	—
187	#1502	—	19	1	no	—
188	#1486	—	19	1	no	—
189	#1303	—	19	1	no	—
190	#1276	—	19	1	no	—
191	C₂²×C₁₉	—	2	1	no	—
192	C₂²×C₁₉	—	2	1	no	—
193	C₂²×C₁₉	—	4	2	no	—
194	C₂²×C₁₉	—	4	2	no	—
195	C₂²×C₁₉	—	4	2	no	—
196	C₂²×C₁₉	—	8	2	no	—
197	C₂²×C₁₉	—	8	2	no	—
198	C₂²×C₁₉	—	8	1	no	—
199	C₂²×C₁₉	—	8	1	no	—
200	C₂²×C₁₉	—	8	1	no	—
201	C₂²×C₁₉	#386	1	1	yes	characteristic
202	C₂²×C₁₉	#447	1	1	yes	characteristic
203	C₂²×C₁₉	#449	1	1	yes	characteristic
204	C₄×C₁₉	—	2	1	no	—
205	C₄×C₁₉	—	2	1	no	—
206	C₄×C₁₉	—	2	1	no	—
207	C₄×C₁₉	—	4	2	no	—
208	C₄×C₁₉	—	8	1	no	—
209	C₄×C₁₉	#421	1	2	yes	—
210	C₄×C₁₉	C₄×D₈	1	1	yes	characteristic
211	C₄×C₁₉	#442	1	1	yes	characteristic
212	C₄×C₁₉	#459	1	1	yes	characteristic
213	C₄×C₁₉	#463	1	1	yes	characteristic
214	Dic₁₉	—	4	2	no	—
215	Dic₁₉	—	4	2	no	—
216	Dic₁₉	—	8	2	no	—
217	#532	C₂×D₁₉	1	1	yes	characteristic
218	C₂×C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
219	C₂×#117	—	38	1	no	—
220	#480	—	2	1	no	—
221	#474	Dic₁₉	1	2	yes	complemented
222	#459	Dic₁₉	1	2	yes	complemented
223	#447	—	2	1	no	—
224	C₄×D₈	—	2	2	no	—
225	#431	—	19	1	no	—
226	#431	C₂×D₁₉	1	1	yes	characteristic
227	#423	—	19	1	no	—
228	C₂×#104	—	38	1	no	—
229	C₂×#104	—	38	1	no	—
230	#390	—	38	1	no	—
231	#389	—	38	1	no	—
232	#388	—	38	2	no	—
233	C₄×C₄⋊C₄	—	19	1	no	—
234	C₄×C₂²⋊C₄	—	38	1	no	—
235	C₄³	—	19	1	no	—
236	#327	—	38	2	no	—
237	D₄⋊C₈	—	38	2	no	—
238	C₂×C₁₉	—	2	1	no	—
239	C₂×C₁₉	—	2	1	no	—
240	C₂×C₁₉	—	8	2	no	—
241	C₂×C₁₉	—	16	1	no	—
242	C₂×C₁₉	#1879	1	1	yes	characteristic
243	C₂×C₁₉	#1897	1	1	yes	characteristic
244	C₂×C₁₉	#1906	1	1	yes	characteristic
245	C₂×#41	—	2	1	no	—
246	C₂²×D₄	C₂²⋊D₁₉	1	1	yes	characteristic
247	C₂³×C₄	—	2	1	no	—
248	C₂×D₈	—	2	2	no	—
249	C₂×M₁₆	—	38	1	no	—
250	C₄⋊Q₈	C₂×Dic₁₉	1	1	yes	characteristic
251	#127	C₂×Dic₁₉	1	1	yes	characteristic
252	#124	—	2	1	no	—
253	#121	—	2	1	no	—
254	#121	—	2	1	no	—
255	C₄×D₄	—	2	1	no	—
256	C₄×D₄	—	2	1	no	—
257	C₄×D₄	—	2	1	no	—
258	C₄×D₄	—	2	1	no	—
259	C₄×D₄	C₂×Dic₁₉	1	2	yes	—
260	C₄×D₄	C₂²⋊D₁₉	1	2	yes	—
261	#117	—	76	2	no	—
262	#117	—	76	2	no	—
263	C₂×C₄⋊C₄	—	38	2	no	—
264	C₂×C₄⋊C₄	—	38	1	no	—
265	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	1	yes	characteristic
266	C₂×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₂²⋊C₄	—	38	2	no	—
268	C₂×C₂²⋊C₄	—	38	2	no	—
269	C₂×C₄²	—	19	1	no	—
270	C₂×C₄²	—	19	1	no	—
271	C₂×C₄²	—	38	1	no	—
272	C₂×C₄²	—	38	1	no	—
273	C₂×C₄²	—	38	1	no	—
274	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
275	#107	—	2	2	no	—
276	C₄⋊C₈	—	38	1	no	—
277	C₄⋊C₈	—	38	1	no	—
278	C₄⋊C₈	—	38	1	no	—
279	C₄⋊C₈	C₂×Dic₁₉	1	2	yes	—
280	#104	—	76	2	no	—
281	#104	—	76	2	no	—
282	#102	—	2	2	no	—
283	#102	—	2	2	no	—
284	C₂²⋊C₈	—	2	1	no	—
285	C₂²⋊C₈	—	38	1	no	—
286	C₄×C₈	—	2	1	no	—
287	C₄×C₈	—	38	1	no	—
288	#95	—	19	2	no	—
289	#95	—	38	2	no	—
290	C₁₉	#9237	1	1	yes	characteristic, complemented, Sylow
291	C₂⁴	—	2	1	no	—
292	#41	—	4	1	no	—
293	#41	—	4	1	no	—
294	#41	—	4	1	no	—
295	#41	—	4	1	no	—
296	C₂×Q₈	—	2	1	no	—
297	C₂×D₄	—	2	1	no	—
298	C₂×D₄	—	2	1	no	—
299	C₂×D₄	—	2	1	no	—
300	C₂×D₄	—	2	1	no	—
301	C₂×D₄	—	4	2	no	—
302	C₂×D₄	—	4	1	no	—
303	C₂×D₄	C₂²⋊Dic₁₉	1	2	yes	—
304	C₂²×C₄	—	2	1	no	—
305	C₂²×C₄	—	2	2	no	—
306	C₂²×C₄	—	2	2	no	—
307	C₂²×C₄	—	4	1	no	—
308	C₂²×C₄	—	4	1	no	—
309	C₂²×C₄	—	4	1	no	—
310	C₂²×C₄	—	4	1	no	—
311	C₂²×C₄	—	4	1	no	—
312	C₂²×C₄	—	38	1	no	—
313	C₂²×C₄	—	38	1	no	—
314	C₂²×C₄	—	38	2	no	—
315	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
316	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
317	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
318	D₈	—	4	4	no	—
319	M₁₆	—	76	1	no	—
320	M₁₆	—	76	1	no	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	—	76	1	no	—
323	C₂×C₈	—	76	1	no	—
324	C₄⋊C₄	—	2	1	no	—
325	C₄⋊C₄	—	2	1	no	—
326	C₄⋊C₄	—	2	1	no	—
327	C₄⋊C₄	—	76	2	no	—
328	C₄⋊C₄	—	76	4	no	—
329	C₄⋊C₄	C₂²⋊Dic₁₉	1	2	yes	—
330	C₂²⋊C₄	—	2	2	no	—
331	C₂²⋊C₄	—	2	2	no	—
332	C₂²⋊C₄	—	4	1	no	—
333	C₂²⋊C₄	—	4	1	no	—
334	C₂²⋊C₄	—	76	4	no	—
335	C₂²⋊C₄	—	76	4	no	—
336	C₄²	—	19	2	no	—
337	C₄²	—	38	1	no	—
338	C₄²	—	38	1	no	—
339	C₄²	—	38	1	no	—
340	C₄²	—	76	2	no	—
341	C₄²	—	76	2	no	—
342	C₄²	—	76	1	no	—
343	C₄²	—	76	1	no	—
344	C₄²	#64543	1	1	yes	characteristic
345	C₄²	#64543	1	1	yes	characteristic
346	C₄²	C₂²×Dic₁₉	1	1	yes	characteristic
347	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
348	C₂³	—	2	2	no	—
349	C₂³	—	4	2	no	—
350	C₂³	—	4	2	no	—
351	C₂³	—	4	1	no	—
352	C₂³	—	4	1	no	—
353	C₂³	—	4	1	no	—
354	C₂³	#10597383	1	1	yes	characteristic
355	Q₈	—	4	1	no	—
356	Q₈	—	4	1	no	—
357	D₄	—	2	2	no	—
358	D₄	—	2	2	no	—
359	D₄	—	4	2	no	—
360	D₄	—	4	2	no	—
361	D₄	—	4	1	no	—
362	D₄	—	4	1	no	—
363	D₄	—	8	1	no	—
364	D₄	—	8	1	no	—
365	D₄	—	8	1	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	1	no	—
371	C₂×C₄	—	4	2	no	—
372	C₂×C₄	—	4	2	no	—
373	C₂×C₄	—	4	2	no	—
374	C₂×C₄	—	4	2	no	—
375	C₂×C₄	—	4	1	no	—
376	C₂×C₄	—	8	1	no	—
377	C₂×C₄	—	8	1	no	—
378	C₂×C₄	—	38	2	no	—
379	C₂×C₄	—	38	2	no	—
380	C₂×C₄	—	76	1	no	—
381	C₂×C₄	—	76	1	no	—
382	C₂×C₄	—	76	1	no	—
383	C₂×C₄	—	76	1	no	—
384	C₂×C₄	—	76	2	no	—
385	C₂×C₄	—	76	2	no	—
386	C₂×C₄	—	76	2	no	—
387	C₂×C₄	D₈×D₁₉	1	1	yes	characteristic
388	C₂×C₄	#10597357	1	1	yes	characteristic
389	C₂×C₄	#10597357	1	1	yes	characteristic
390	C₂×C₄	#10597358	1	1	yes	characteristic
391	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
392	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
393	C₂×C₄	#10597381	1	1	yes	characteristic
394	C₂×C₄	#10597385	1	1	yes	characteristic
395	C₂×C₄	#10597385	1	1	yes	characteristic
396	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
397	C₈	—	4	2	no	—
398	C₈	—	152	1	no	—
399	C₈	—	152	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	2	1	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	4	2	no	—
405	C₂²	—	8	2	no	—
406	C₂²	—	8	2	no	—
407	C₂²	—	8	1	no	—
408	C₂²	—	8	1	no	—
409	C₂²	—	8	1	no	—
410	C₂²	#11926424	1	1	yes	characteristic
411	C₂²	#11926676	1	1	yes	characteristic
412	C₂²	#11926686	1	1	yes	characteristic
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	2	1	no	—
416	C₄	—	4	2	no	—
417	C₄	—	8	1	no	—
418	C₄	—	76	2	no	—
419	C₄	—	76	2	no	—
420	C₄	—	152	2	no	—
421	C₄	#11926561	1	2	yes	—
422	C₄	D₈×Dic₁₉	1	1	yes	characteristic
423	C₄	#11926656	1	1	yes	characteristic
424	C₄	#11926737	1	1	yes	characteristic
425	C₄	#11926757	1	1	yes	characteristic
426	C₂	—	2	1	no	—
427	C₂	—	2	1	no	—
428	C₂	—	8	2	no	—
429	C₂	—	16	1	no	—
430	C₂	#14563985	1	1	yes	characteristic
431	C₂	#14564084	1	1	yes	characteristic
432	C₂	#14564138	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#10597385
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting, prime radical	C₁₉×#3100	C₂
socle	C₂²×C₁₉	#386
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#3100	D₁₉
hypocenter	C₁₉	#9237
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3100

Complements

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

N	H ≅ G/N	type
1. #14566100	C₂	semidirect
2. #14564464	C₂	semidirect
3. #14562130	C₂	semidirect
4. #14562060	C₂	semidirect
5. #14561537	C₂	semidirect
6. #14561467	C₂	semidirect
24. C₁₉×#474	C₄	semidirect
25. C₁₉×#459	C₄	semidirect
126. C₄×Dic₁₉	D₈	semidirect
221. #474	Dic₁₉	semidirect
222. #459	Dic₁₉	semidirect
290. C₁₉	#9237	semidirect

Maximal subgroups

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

subgroup	index
#14566100	2
#14564464	2
#14562130	2
#14562060	2
#14561537	2
#14561467	2
C₁₉×#3100	2
#9237	19