Subgroups — #18079855

Order 4864.

570 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14572659	C₂	1	1	yes	maximal, characteristic
2	#14563623	C₂	1	1	yes	maximal, characteristic
3	#14562207	C₂	1	2	yes	maximal, complemented
4	#14561514	C₂	1	2	yes	maximal, complemented
5	C₁₉×#2564	C₂	1	1	yes	maximal, characteristic
6	D₄×C₁₉⋊C₈	—	2	4	no	—
7	#11926597	—	2	1	no	—
8	C₂×#10597291	—	2	1	no	—
9	C₂×C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
10	C₂×C₂²⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
11	#11926404	C₂²	1	2	yes	—
12	#11926311	—	2	1	no	—
13	#11926281	—	2	4	no	—
14	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
15	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
16	C₁₉×#400	C₄	1	1	yes	characteristic, complemented
17	C₁₉×#399	C₄	1	1	yes	characteristic, complemented
18	C₁₉×#395	C₄	1	1	yes	characteristic, complemented
19	C₁₉×#393	C₄	1	1	yes	characteristic, complemented
20	C₁₉×#387	—	2	1	no	—
21	C₁₉×#386	—	2	1	no	—
22	C₁₉×#385	—	2	1	no	—
23	C₁₉×#380	—	2	1	no	—
24	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
25	C₂²×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
26	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
27	C₂³×C₄×C₁₉	—	2	1	no	—
28	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
30	C₁₉×C₂²⋊Q₈	—	2	2	no	—
31	C₁₉×C₂²⋊Q₈	—	2	2	no	—
32	C₄×D₄×C₁₉	—	2	2	no	—
33	C₄×D₄×C₁₉	—	2	2	no	—
34	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
35	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
36	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
37	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
38	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
39	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
40	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
41	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
42	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
44	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
45	C₂×C₂²⋊Dic₁₉	—	2	2	no	—
46	C₂×C₄⋊Dic₁₉	—	2	2	no	—
47	C₂²×C₁₉⋊C₈	—	2	2	no	—
48	C₂²×C₁₉⋊C₈	—	2	2	no	—
49	C₁₉×#95	—	2	1	no	—
50	C₁₉×#95	—	2	1	no	—
51	C₁₉×#95	—	2	1	no	—
52	C₁₉×#95	—	2	1	no	—
53	C₁₉×#95	—	2	1	no	—
54	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
55	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
56	#10597291	—	4	2	no	—
57	C₁₉⋊#95	—	2	2	no	—
58	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
59	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
60	C₂²⋊(C₁₉⋊C₈)	D₄	1	4	yes	—
61	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
62	C₄×C₁₉⋊C₈	—	2	2	no	—
63	C₂⁴×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
64	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
65	C₂×Q₈×C₁₉	—	2	2	no	—
66	C₂×Q₈×C₁₉	—	8	1	no	—
67	C₂×D₄×C₁₉	—	2	2	no	—
68	C₂×D₄×C₁₉	—	2	2	no	—
69	C₂×D₄×C₁₉	SD₁₆	1	2	yes	—
70	C₂×D₄×C₁₉	Q₁₆	1	2	yes	—
71	C₂²×C₄×C₁₉	—	2	1	no	—
72	C₂²×C₄×C₁₉	—	2	1	no	—
73	C₂²×C₄×C₁₉	—	2	1	no	—
74	C₂²×C₄×C₁₉	—	2	1	no	—
75	C₂²×C₄×C₁₉	—	2	1	no	—
76	C₂²×C₄×C₁₉	—	2	1	no	—
77	C₂²×C₄×C₁₉	—	4	2	no	—
78	C₂²×C₄×C₁₉	—	4	2	no	—
79	C₂²×C₄×C₁₉	—	8	1	no	—
80	C₂²×C₄×C₁₉	—	8	1	no	—
81	C₂²×C₄×C₁₉	—	8	1	no	—
82	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₉	#41	1	2	yes	—
89	C₂²×Dic₁₉	—	4	2	no	—
90	C₄⋊C₄×C₁₉	—	2	2	no	—
91	C₄⋊C₄×C₁₉	—	2	2	no	—
92	C₄⋊C₄×C₁₉	—	4	2	no	—
93	C₄⋊C₄×C₁₉	—	4	1	no	—
94	C₄⋊C₄×C₁₉	—	4	1	no	—
95	C₄⋊C₄×C₁₉	—	8	1	no	—
96	C₂²⋊C₄×C₁₉	—	2	2	no	—
97	C₂²⋊C₄×C₁₉	—	2	2	no	—
98	C₂²⋊C₄×C₁₉	—	4	2	no	—
99	C₂²⋊C₄×C₁₉	—	4	2	no	—
100	C₂²⋊C₄×C₁₉	—	8	1	no	—
101	C₄²×C₁₉	—	2	1	no	—
102	C₄²×C₁₉	—	2	1	no	—
103	C₂²⋊Dic₁₉	—	4	2	no	—
104	C₂²⋊Dic₁₉	—	4	2	no	—
105	C₄⋊Dic₁₉	—	8	2	no	—
106	C₂×C₁₉⋊C₈	—	2	4	no	—
107	C₂×C₁₉⋊C₈	—	8	2	no	—
108	C₂×C₁₉⋊C₈	—	8	2	no	—
109	#9383	—	19	1	no	maximal, Sylow
110	C₂³×C₁₉	—	2	1	no	—
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	—	4	1	no	—
113	C₂³×C₁₉	—	4	1	no	—
114	C₂³×C₁₉	—	4	1	no	—
115	C₂³×C₁₉	—	4	1	no	—
116	C₂³×C₁₉	#103	1	2	yes	—
117	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
118	C₂³×C₁₉	#121	1	2	yes	—
119	C₂³×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
120	C₂³×C₁₉	C₂×Q₁₆	1	1	yes	characteristic
121	C₂³×C₁₉	#135	1	2	yes	—
122	Q₈×C₁₉	—	8	2	no	—
123	D₄×C₁₉	—	2	4	no	—
124	D₄×C₁₉	—	2	4	no	—
125	C₂×C₄×C₁₉	—	2	1	no	—
126	C₂×C₄×C₁₉	—	2	1	no	—
127	C₂×C₄×C₁₉	—	2	2	no	—
128	C₂×C₄×C₁₉	—	2	1	no	—
129	C₂×C₄×C₁₉	—	2	1	no	—
130	C₂×C₄×C₁₉	—	4	2	no	—
131	C₂×C₄×C₁₉	—	4	2	no	—
132	C₂×C₄×C₁₉	—	4	1	no	—
133	C₂×C₄×C₁₉	—	4	1	no	—
134	C₂×C₄×C₁₉	—	4	2	no	—
135	C₂×C₄×C₁₉	—	4	1	no	—
136	C₂×C₄×C₁₉	—	4	1	no	—
137	C₂×C₄×C₁₉	—	4	1	no	—
138	C₂×C₄×C₁₉	—	4	1	no	—
139	C₂×C₄×C₁₉	—	4	1	no	—
140	C₂×C₄×C₁₉	—	4	1	no	—
141	C₂×C₄×C₁₉	—	4	1	no	—
142	C₂×C₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	4	1	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	8	1	no	—
149	C₂×C₄×C₁₉	—	8	4	no	—
150	C₂×C₄×C₁₉	#103	1	2	yes	—
151	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
152	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
154	C₂×Dic₁₉	—	8	2	no	—
155	C₂×Dic₁₉	—	8	2	no	—
156	C₂×Dic₁₉	—	8	2	no	—
157	C₁₉⋊C₈	—	4	4	no	—
158	#2972	—	19	1	no	—
159	#2564	D₁₉	1	1	yes	characteristic
160	#1799	—	19	1	no	—
161	#1520	—	19	2	no	—
162	#1294	—	19	2	no	—
163	C₂²×C₁₉	—	2	2	no	—
164	C₂²×C₁₉	—	2	1	no	—
165	C₂²×C₁₉	—	2	2	no	—
166	C₂²×C₁₉	—	2	1	no	—
167	C₂²×C₁₉	—	2	2	no	—
168	C₂²×C₁₉	—	4	2	no	—
169	C₂²×C₁₉	—	4	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	2	no	—
172	C₂²×C₁₉	—	4	1	no	—
173	C₂²×C₁₉	—	4	1	no	—
174	C₂²×C₁₉	—	8	1	no	—
175	C₂²×C₁₉	#386	1	1	yes	characteristic
176	C₂²×C₁₉	C₂×#103	1	1	yes	characteristic
177	C₂²×C₁₉	#416	1	1	yes	characteristic
178	C₂²×C₁₉	#465	1	2	yes	—
179	C₂²×C₁₉	#467	1	2	yes	—
180	C₄×C₁₉	—	2	2	no	—
181	C₄×C₁₉	—	2	1	no	—
182	C₄×C₁₉	—	2	1	no	—
183	C₄×C₁₉	—	2	2	no	—
184	C₄×C₁₉	—	4	2	no	—
185	C₄×C₁₉	—	4	1	no	—
186	C₄×C₁₉	—	4	1	no	—
187	C₄×C₁₉	—	8	1	no	—
188	C₄×C₁₉	—	8	1	no	—
189	C₄×C₁₉	—	8	1	no	—
190	Dic₁₉	—	16	2	no	—
191	C₂×C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
192	C₂×C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
193	C₈×D₄	—	38	4	no	—
194	#431	—	38	1	no	—
195	C₂×#99	—	38	1	no	—
196	C₂×C₂²⋊C₈	—	19	2	no	—
197	C₂×C₂²⋊C₈	—	38	1	no	—
198	#400	Dic₁₉	1	1	yes	characteristic, complemented
199	#399	Dic₁₉	1	1	yes	characteristic, complemented
200	#395	Dic₁₉	1	1	yes	characteristic, complemented
201	#393	Dic₁₉	1	1	yes	characteristic, complemented
202	#387	—	2	1	no	—
203	#386	—	2	1	no	—
204	#385	—	2	1	no	—
205	#380	—	2	1	no	—
206	#380	—	19	2	no	—
207	C₂×#95	C₂×D₁₉	1	1	yes	characteristic
208	#342	—	38	1	no	—
209	#328	—	38	4	no	—
210	C₂×C₁₉	—	2	2	no	—
211	C₂×C₁₉	—	2	1	no	—
212	C₂×C₁₉	—	2	1	no	—
213	C₂×C₁₉	—	2	2	no	—
214	C₂×C₁₉	—	4	2	no	—
215	C₂×C₁₉	#1884	1	1	yes	characteristic
216	C₂×C₁₉	#1892	1	1	yes	characteristic
217	C₂×C₁₉	#1913	1	1	yes	characteristic
218	C₂²×Q₈	C₂×Dic₁₉	1	1	yes	characteristic
219	C₂²×D₄	C₂²⋊D₁₉	1	1	yes	characteristic
220	C₂³×C₄	—	2	1	no	—
221	C₂³×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
222	C₂³×C₄	C₂²×D₁₉	1	1	yes	characteristic
223	C₂²×C₈	—	38	2	no	—
224	C₂²×C₈	—	38	2	no	—
225	C₂²⋊Q₈	—	2	2	no	—
226	C₂²⋊Q₈	—	2	2	no	—
227	C₄×D₄	—	2	2	no	—
228	C₄×D₄	—	2	2	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	—	2	1	no	—
231	C₂×C₄⋊C₄	—	2	1	no	—
232	C₂×C₄⋊C₄	—	38	2	no	—
233	C₂×C₄⋊C₄	C₂×Dic₁₉	1	1	yes	characteristic
234	C₂×C₄⋊C₄	C₂×Dic₁₉	1	1	yes	characteristic
235	C₂×C₂²⋊C₄	—	2	1	no	—
236	C₂×C₂²⋊C₄	—	2	1	no	—
237	C₂×C₂²⋊C₄	—	2	1	no	—
238	C₂×C₂²⋊C₄	—	38	2	no	—
239	C₂×C₂²⋊C₄	C₂×Dic₁₉	1	1	yes	characteristic
240	C₂×C₂²⋊C₄	C₂²⋊D₁₉	1	1	yes	characteristic
241	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
242	C₄⋊C₈	—	38	2	no	—
243	#99	—	76	2	no	—
244	C₂²⋊C₈	—	19	4	no	—
245	C₂²⋊C₈	—	38	2	no	—
246	C₂²⋊C₈	—	38	2	no	—
247	C₄×C₈	—	38	2	no	—
248	#95	—	2	1	no	—
249	#95	—	2	1	no	—
250	#95	—	2	1	no	—
251	#95	—	2	1	no	—
252	#95	—	2	1	no	—
253	#95	—	38	2	no	—
254	#95	C₂×Dic₁₉	1	1	yes	characteristic
255	#95	C₂×Dic₁₉	1	1	yes	characteristic
256	C₁₉	#9383	1	1	yes	characteristic, complemented, Sylow
257	C₂⁴	C₂²⋊Dic₁₉	1	1	yes	characteristic
258	C₂⁴	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
259	C₂×Q₈	—	2	2	no	—
260	C₂×Q₈	—	8	1	no	—
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	2	no	—
263	C₂×D₄	#64527	1	2	yes	—
264	C₂×D₄	#64528	1	2	yes	—
265	C₂²×C₄	—	2	1	no	—
266	C₂²×C₄	—	2	1	no	—
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	1	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	2	1	no	—
271	C₂²×C₄	—	4	2	no	—
272	C₂²×C₄	—	4	2	no	—
273	C₂²×C₄	—	8	1	no	—
274	C₂²×C₄	—	8	1	no	—
275	C₂²×C₄	—	8	1	no	—
276	C₂²×C₄	—	76	2	no	—
277	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
278	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
279	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
280	C₂²×C₄	D₄×D₁₉	1	2	yes	—
281	C₂²×C₄	#64543	1	2	yes	—
282	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
283	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
284	C₂×C₈	—	38	4	no	—
285	C₂×C₈	—	152	2	no	—
286	C₂×C₈	—	152	2	no	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	2	2	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄⋊C₄	—	4	1	no	—
291	C₄⋊C₄	—	4	1	no	—
292	C₄⋊C₄	—	8	1	no	—
293	C₄⋊C₄	—	152	2	no	—
294	C₂²⋊C₄	—	2	2	no	—
295	C₂²⋊C₄	—	2	2	no	—
296	C₂²⋊C₄	—	4	2	no	—
297	C₂²⋊C₄	—	4	2	no	—
298	C₂²⋊C₄	—	8	1	no	—
299	C₂²⋊C₄	—	76	2	no	—
300	C₂²⋊C₄	—	76	2	no	—
301	C₄²	—	2	1	no	—
302	C₄²	—	2	1	no	—
303	C₂³	—	2	1	no	—
304	C₂³	—	2	1	no	—
305	C₂³	—	4	1	no	—
306	C₂³	—	4	1	no	—
307	C₂³	—	4	1	no	—
308	C₂³	—	4	1	no	—
309	C₂³	#10597292	1	2	yes	—
310	C₂³	#10597385	1	2	yes	—
311	C₂³	C₂×#64527	1	1	yes	characteristic
312	C₂³	C₂×#64528	1	1	yes	characteristic
313	C₂³	#10597396	1	2	yes	—
314	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
315	Q₈	—	8	2	no	—
316	D₄	—	2	4	no	—
317	D₄	—	2	4	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	1	no	—
339	C₂×C₄	—	4	1	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	8	1	no	—
342	C₂×C₄	—	8	4	no	—
343	C₂×C₄	—	152	2	no	—
344	C₂×C₄	—	152	2	no	—
345	C₂×C₄	—	152	2	no	—
346	C₂×C₄	#10597292	1	2	yes	—
347	C₂×C₄	D₄×Dic₁₉	1	2	yes	—
348	C₂×C₄	#10597381	1	1	yes	characteristic
349	C₂×C₄	#10597383	1	1	yes	characteristic
350	C₈	—	76	4	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	1	no	—
354	C₂²	—	2	2	no	—
355	C₂²	—	2	2	no	—
356	C₂²	—	4	2	no	—
357	C₂²	—	4	1	no	—
358	C₂²	—	4	1	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	1	no	—
362	C₂²	—	8	1	no	—
363	C₂²	#11926424	1	1	yes	characteristic
364	C₂²	C₂×#10597292	1	1	yes	characteristic
365	C₂²	#11926540	1	1	yes	characteristic
366	C₂²	#11926775	1	2	yes	—
367	C₂²	#11926783	1	2	yes	—
368	C₄	—	2	1	no	—
369	C₄	—	2	1	no	—
370	C₄	—	2	2	no	—
371	C₄	—	2	2	no	—
372	C₄	—	4	2	no	—
373	C₄	—	4	1	no	—
374	C₄	—	4	1	no	—
375	C₄	—	8	1	no	—
376	C₄	—	8	1	no	—
377	C₄	—	8	1	no	—
378	C₄	—	304	2	no	—
379	C₂	—	2	1	no	—
380	C₂	—	2	2	no	—
381	C₂	—	2	1	no	—
382	C₂	—	2	2	no	—
383	C₂	—	4	2	no	—
384	C₂	#14564019	1	1	yes	characteristic
385	C₂	#14564059	1	1	yes	characteristic
386	C₂	#14564178	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#11926424
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂³×C₄	C₂²×D₁₉
Fitting	C₁₉×#2564	C₂
socle	C₂²×C₁₉	#386
prime radical	C₂²×D₄×C₁₉	D₄
cosocle	C₂³×C₄×C₁₉	C₂³
hypercenter	#2564	D₁₉
hypocenter	C₁₉	#9383
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #2564

Complements

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

N	H ≅ G/N	type
3. #14562207	C₂	semidirect
4. #14561514	C₂	semidirect
16. C₁₉×#400	C₄	semidirect
17. C₁₉×#399	C₄	semidirect
18. C₁₉×#395	C₄	semidirect
19. C₁₉×#393	C₄	semidirect
198. #400	Dic₁₉	semidirect
199. #399	Dic₁₉	semidirect
200. #395	Dic₁₉	semidirect
201. #393	Dic₁₉	semidirect
256. C₁₉	#9383	semidirect

Maximal subgroups

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

subgroup	index
#14572659	2
#14563623	2
#14562207	2
#14561514	2
C₁₉×#2564	2
#9383	19