Subgroups — #34181352

Order 20224.

510 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19098640	C₂	1	1	yes	maximal, characteristic
2	#23763556	C₂	1	1	yes	maximal, characteristic, complemented
3	#23763401	C₂	1	1	yes	maximal, characteristic
4	#23763397	C₂	1	1	yes	maximal, characteristic
5	C₂×#19098315	C₂	1	1	yes	maximal, characteristic, complemented
6	#23761284	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₉×#1296	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#11929607	—	2	1	no	—
9	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
10	#19098640	—	2	2	no	—
11	#19098640	C₄	1	4	yes	complemented
12	C₂×#14579092	—	2	1	no	—
13	C₂×#14579092	—	2	1	no	—
14	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
15	C₂×#14579083	—	2	1	no	—
16	C₂×#14579081	—	2	1	no	—
17	C₂×(C₂×D₇₉)⋊C₈	—	2	1	no	—
18	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
19	#19098433	C₂²	1	1	yes	characteristic
20	#19098326	—	2	1	no	—
21	#19098325	—	2	1	no	—
22	#19098315	—	2	2	no	—
23	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
25	#384×C₇₉	C₂²	1	1	yes	characteristic
26	C₂²×D₃₁₆	D₄	1	1	yes	characteristic
27	C₂²×C₄×D₇₉	—	2	1	no	—
28	C₂×#11929607	—	2	4	no	—
29	C₂×#11929607	—	4	2	no	—
30	C₂×#11929607	—	4	2	no	—
31	C₂²×C₇₉⋊C₈	—	2	1	no	—
32	C₂²×C₇₉⋊C₈	D₄	1	1	yes	characteristic
33	C₂²×C₇₉⋊C₈	D₄	1	1	yes	characteristic
34	C₄×D₃₁₆	—	2	1	no	—
35	C₄×D₃₁₆	—	2	1	no	—
36	C₄×D₃₁₆	C₂×C₄	1	2	yes	—
37	C₄×D₃₁₆	Q₈	1	2	yes	—
38	C₂×C₄⋊Dic₇₉	—	2	1	no	—
39	C₂×C₄⋊Dic₇₉	—	2	1	no	—
40	C₂×C₄⋊Dic₇₉	—	2	1	no	—
41	C₂×C₄⋊Dic₇₉	D₄	1	1	yes	characteristic
42	C₂×(C₂×D₇₉)⋊C₄	—	2	1	no	—
43	#14579092	—	4	2	no	—
44	#14579092	—	4	2	no	—
45	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
46	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
47	#14579083	—	4	2	no	—
48	#14579081	—	4	2	no	—
49	(C₂×D₇₉)⋊C₈	—	2	4	no	—
50	C₄×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
51	C₄×C₇₉⋊C₈	D₄	1	2	yes	—
52	C₂²×C₈×C₇₉	—	2	1	no	—
53	C₂²×C₈×C₇₉	—	2	1	no	—
54	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
55	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
56	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
57	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
58	C₄⋊C₈×C₇₉	—	2	1	no	—
59	C₄⋊C₈×C₇₉	—	2	1	no	—
60	C₄⋊C₈×C₇₉	—	2	1	no	—
61	C₄⋊C₈×C₇₉	C₂×C₄	1	2	yes	—
62	C₂³×D₇₉	—	2	1	no	—
63	C₂×D₃₁₆	—	2	1	no	—
64	C₂×D₃₁₆	—	2	1	no	—
65	C₂×D₃₁₆	—	2	1	no	—
66	C₂×D₃₁₆	—	2	1	no	—
67	C₂×D₃₁₆	—	2	1	no	—
68	C₂×D₃₁₆	C₄⋊C₄	1	2	yes	—
69	C₂²×Dic₇₉	—	2	1	no	—
70	C₂²×Dic₇₉	—	4	1	no	—
71	C₂×C₄×D₇₉	—	2	2	no	—
72	C₂×C₄×D₇₉	—	2	2	no	—
73	C₂×C₄×D₇₉	—	4	1	no	—
74	C₂×C₄×D₇₉	—	4	1	no	—
75	C₂×C₄×D₇₉	—	4	1	no	—
76	C₂×C₄×D₇₉	—	4	1	no	—
77	#11929607	—	4	8	no	—
78	C₂×C₇₉⋊C₈	—	2	1	no	—
79	C₂×C₇₉⋊C₈	—	2	1	no	—
80	C₂×C₇₉⋊C₈	—	4	1	no	—
81	C₂×C₇₉⋊C₈	—	4	1	no	—
82	C₂×C₇₉⋊C₈	—	4	1	no	—
83	C₂×C₇₉⋊C₈	C₂²⋊C₄	1	2	yes	—
84	C₂×C₇₉⋊C₈	C₂²⋊C₄	1	2	yes	—
85	C₂×C₇₉⋊C₈	D₈	1	2	yes	—
86	C₂×C₇₉⋊C₈	SD₁₆	1	2	yes	—
87	C₄⋊Dic₇₉	—	2	1	no	—
88	C₄⋊Dic₇₉	—	4	1	no	—
89	C₄⋊Dic₇₉	—	4	1	no	—
90	C₄⋊Dic₇₉	—	4	1	no	—
91	C₄⋊Dic₇₉	—	4	1	no	—
92	C₄⋊Dic₇₉	—	8	1	no	—
93	C₄⋊Dic₇₉	C₄⋊C₄	1	2	yes	—
94	(C₂×D₇₉)⋊C₄	—	2	2	no	—
95	(C₂×D₇₉)⋊C₄	—	2	2	no	—
96	C₂²×C₄×C₇₉	—	4	1	no	—
97	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₇₉	#41	1	1	yes	characteristic
100	C₂×C₈×C₇₉	—	2	2	no	—
101	C₂×C₈×C₇₉	—	4	1	no	—
102	C₂×C₈×C₇₉	—	4	1	no	—
103	C₂×C₈×C₇₉	—	4	1	no	—
104	C₂×C₈×C₇₉	—	4	1	no	—
105	C₂×C₈×C₇₉	—	4	1	no	—
106	C₄⋊C₄×C₇₉	—	4	1	no	—
107	C₄⋊C₄×C₇₉	—	4	1	no	—
108	C₄⋊C₄×C₇₉	—	4	1	no	—
109	C₄⋊C₄×C₇₉	—	4	1	no	—
110	C₄⋊C₄×C₇₉	—	8	1	no	—
111	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
112	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
113	C₄²×C₇₉	C₂×Q₈	1	1	yes	characteristic
114	C₄²×C₇₉	#41	1	1	yes	characteristic
115	C₂³×C₇₉	#121	1	1	yes	characteristic
116	C₂²×D₇₉	—	2	2	no	—
117	C₂²×D₇₉	—	4	1	no	—
118	C₂²×D₇₉	—	4	1	no	—
119	C₂²×D₇₉	—	4	1	no	—
120	C₂²×D₇₉	—	4	1	no	—
121	C₂²×D₇₉	—	4	1	no	—
122	C₂²×D₇₉	—	4	1	no	—
123	C₂×C₄×C₇₉	—	2	1	no	—
124	C₂×C₄×C₇₉	—	2	1	no	—
125	C₂×C₄×C₇₉	—	8	1	no	—
126	C₂×C₄×C₇₉	—	8	1	no	—
127	C₂×C₄×C₇₉	—	8	1	no	—
128	C₂×C₄×C₇₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
129	C₂×C₄×C₇₉	C₂×C₄⋊C₄	1	1	yes	characteristic
130	C₂×C₄×C₇₉	#117	1	1	yes	characteristic
131	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
132	C₂×C₄×C₇₉	C₂²⋊Q₈	1	1	yes	characteristic
133	C₂×C₄×C₇₉	C₂²⋊Q₈	1	1	yes	characteristic
134	C₂×C₄×C₇₉	C₂×D₈	1	1	yes	characteristic
135	C₂×C₄×C₇₉	C₂×SD₁₆	1	1	yes	characteristic
136	C₂×C₄×C₇₉	AGL(1,ℤ/8)	1	1	yes	characteristic
137	C₂×C₄×C₇₉	AGL(1,ℤ/8)	1	1	yes	characteristic
138	C₂×C₄×C₇₉	AGL(1,ℤ/8)	1	1	yes	characteristic
139	C₂×C₄×C₇₉	#137	1	1	yes	characteristic
140	C₂×C₄×C₇₉	#137	1	1	yes	characteristic
141	C₂×C₄×C₇₉	#137	1	1	yes	characteristic
142	C₂×Dic₇₉	—	2	2	no	—
143	C₂×Dic₇₉	—	4	1	no	—
144	C₂×Dic₇₉	—	4	1	no	—
145	C₂×Dic₇₉	—	8	1	no	—
146	C₂×Dic₇₉	—	8	1	no	—
147	C₂×Dic₇₉	—	8	1	no	—
148	D₃₁₆	—	2	2	no	—
149	D₃₁₆	—	2	2	no	—
150	D₃₁₆	—	4	1	no	—
151	D₃₁₆	—	4	1	no	—
152	C₄×D₇₉	—	4	2	no	—
153	C₄×D₇₉	—	4	2	no	—
154	C₄×D₇₉	—	4	2	no	—
155	C₄×D₇₉	—	4	2	no	—
156	C₈×C₇₉	—	4	2	no	—
157	C₈×C₇₉	—	8	1	no	—
158	C₇₉⋊C₈	—	2	2	no	—
159	C₇₉⋊C₈	—	8	1	no	—
160	C₇₉⋊C₈	#102	1	4	yes	complemented
161	C₂²×C₇₉	#380	1	1	yes	characteristic
162	C₂²×C₇₉	#459	1	1	yes	characteristic
163	C₂²×C₇₉	#461	1	1	yes	characteristic
164	C₂²×C₇₉	#468	1	1	yes	characteristic
165	C₂²×C₇₉	#468	1	1	yes	characteristic
166	C₂²×C₇₉	#471	1	1	yes	characteristic
167	C₂²×C₇₉	#471	1	1	yes	characteristic
168	C₂×D₇₉	—	4	2	no	—
169	C₂×D₇₉	—	4	2	no	—
170	C₂×D₇₉	—	4	2	no	—
171	C₂×D₇₉	—	8	1	no	—
172	C₂×D₇₉	—	8	1	no	—
173	C₂×D₇₉	—	8	1	no	—
174	C₂×D₇₉	—	8	1	no	—
175	C₄×C₇₉	—	2	1	no	—
176	C₄×C₇₉	—	2	1	no	—
177	C₄×C₇₉	—	16	1	no	—
178	C₄×C₇₉	C₂×#102	1	1	yes	characteristic
179	C₄×C₇₉	#417	1	1	yes	characteristic
180	C₄×C₇₉	#428	1	1	yes	characteristic
181	C₄×C₇₉	#428	1	1	yes	characteristic
182	C₄×C₇₉	#469	1	1	yes	characteristic
183	C₄×C₇₉	#470	1	1	yes	characteristic
184	C₄×C₇₉	#474	1	1	yes	characteristic
185	C₄×C₇₉	#476	1	1	yes	characteristic
186	Dic₇₉	—	4	2	no	—
187	Dic₇₉	—	16	1	no	—
188	#8650	—	79	1	no	maximal, Sylow
189	C₂×C₇₉	#1685	1	1	yes	characteristic
190	C₂×C₇₉	#1685	1	1	yes	characteristic
191	C₂×C₇₉	#1691	1	1	yes	characteristic
192	C₂×C₇₉	#1691	1	1	yes	characteristic
193	C₂×C₇₉	#1802	1	1	yes	characteristic
194	C₂×C₇₉	#1809	1	1	yes	characteristic
195	C₂×C₇₉	#1815	1	1	yes	characteristic
196	D₇₉	—	8	2	no	—
197	C₂×#436	—	79	1	no	—
198	#1844	—	79	1	no	—
199	#1802	—	79	1	no	—
200	#1802	—	79	1	no	—
201	C₂×#335	—	79	1	no	—
202	#1296	—	79	1	no	—
203	#1296	D₇₉	1	1	yes	characteristic, complemented
204	C₇₉	#8650	1	1	yes	characteristic, complemented, Sylow
205	C₂²×M₁₆	—	158	1	no	—
206	C₂×C₄×D₄	—	79	1	no	—
207	#436	—	79	4	no	—
208	#436	—	158	2	no	—
209	C₂×#106	—	158	1	no	—
210	C₂×#106	—	158	1	no	—
211	C₂×C₄⋊C₈	—	79	1	no	—
212	C₂×C₄⋊C₈	C₂×D₇₉	1	1	yes	characteristic
213	C₂×C₄⋊C₈	C₂×D₇₉	1	1	yes	characteristic
214	C₂×#102	—	158	1	no	—
215	C₂×#102	—	158	1	no	—
216	C₂×C₂²⋊C₈	—	158	1	no	—
217	C₂×C₄×C₈	—	79	1	no	—
218	#384	—	79	1	no	—
219	#384	C₂×D₇₉	1	1	yes	characteristic
220	#340	—	158	1	no	—
221	#340	—	158	1	no	—
222	#335	—	158	2	no	—
223	C₂²×D₄	—	79	1	no	—
224	C₂³×C₄	—	158	1	no	—
225	C₂×M₁₆	—	316	2	no	—
226	C₂×M₁₆	—	316	2	no	—
227	C₂×M₁₆	—	158	4	no	—
228	C₂²×C₈	—	2	1	no	—
229	C₂²×C₈	—	2	1	no	—
230	C₂²×C₈	—	79	1	no	—
231	C₂²×C₈	—	79	1	no	—
232	C₂²×C₈	—	158	1	no	—
233	C₄×D₄	—	79	2	no	—
234	C₄×D₄	—	79	2	no	—
235	C₄×D₄	—	158	1	no	—
236	C₄×D₄	—	158	1	no	—
237	C₂×C₄⋊C₄	—	2	1	no	—
238	C₂×C₄⋊C₄	—	2	1	no	—
239	C₂×C₄⋊C₄	—	2	1	no	—
240	C₂×C₄⋊C₄	—	79	1	no	—
241	C₂×C₄⋊C₄	—	158	1	no	—
242	C₂×C₄⋊C₄	—	158	1	no	—
243	C₂×C₄⋊C₄	—	158	1	no	—
244	C₂×C₂²⋊C₄	—	158	1	no	—
245	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
246	#106	—	316	2	no	—
247	#106	—	316	2	no	—
248	C₄⋊C₈	—	2	1	no	—
249	C₄⋊C₈	—	2	1	no	—
250	C₄⋊C₈	—	2	1	no	—
251	C₄⋊C₈	—	158	1	no	—
252	C₄⋊C₈	—	158	1	no	—
253	C₄⋊C₈	C₄×D₇₉	1	2	yes	—
254	#102	—	316	2	no	—
255	#102	—	316	2	no	—
256	C₂²⋊C₈	—	158	4	no	—
257	C₄×C₈	—	79	2	no	—
258	C₄×C₈	—	79	2	no	—
259	C₂⁴	—	158	1	no	—
260	C₂×D₄	—	79	2	no	—
261	C₂×D₄	—	158	1	no	—
262	C₂×D₄	—	158	1	no	—
263	C₂×D₄	—	158	1	no	—
264	C₂×D₄	—	158	1	no	—
265	C₂×D₄	—	158	1	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	—	316	1	no	—
268	C₂²×C₄	—	316	1	no	—
269	C₂²×C₄	—	316	1	no	—
270	C₂²×C₄	—	316	1	no	—
271	C₂²×C₄	—	316	1	no	—
272	C₂²×C₄	—	158	1	no	—
273	C₂²×C₄	—	158	2	no	—
274	C₂²×C₄	—	158	2	no	—
275	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
276	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
277	C₂²×C₄	#11929624	1	1	yes	characteristic
278	M₁₆	—	316	8	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	4	1	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	—	4	1	no	—
283	C₂×C₈	—	4	1	no	—
284	C₂×C₈	—	4	1	no	—
285	C₂×C₈	—	316	1	no	—
286	C₂×C₈	—	316	1	no	—
287	C₂×C₈	—	316	1	no	—
288	C₂×C₈	—	79	2	no	—
289	C₂×C₈	—	79	2	no	—
290	C₂×C₈	—	79	2	no	—
291	C₂×C₈	—	79	2	no	—
292	C₂×C₈	—	158	1	no	—
293	C₂×C₈	—	158	1	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄⋊C₄	—	4	1	no	—
296	C₄⋊C₄	—	4	1	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	8	1	no	—
299	C₄⋊C₄	—	316	1	no	—
300	C₄⋊C₄	—	316	1	no	—
301	C₄⋊C₄	—	316	1	no	—
302	C₄⋊C₄	—	316	1	no	—
303	C₄⋊C₄	—	79	2	no	—
304	C₄⋊C₄	—	632	1	no	—
305	C₄⋊C₄	—	158	1	no	—
306	C₂²⋊C₄	—	158	2	no	—
307	C₂²⋊C₄	—	158	2	no	—
308	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
309	C₄²	D₄×D₇₉	1	1	yes	characteristic
310	C₄²	Q₈×D₇₉	1	1	yes	characteristic
311	C₄²	#11929624	1	1	yes	characteristic
312	C₂³	—	316	1	no	—
313	C₂³	—	316	1	no	—
314	C₂³	—	316	1	no	—
315	C₂³	—	316	1	no	—
316	C₂³	—	316	1	no	—
317	C₂³	—	316	1	no	—
318	C₂³	—	158	2	no	—
319	C₂³	#14579134	1	1	yes	characteristic
320	D₄	—	316	1	no	—
321	D₄	—	316	1	no	—
322	D₄	—	158	2	no	—
323	D₄	—	158	2	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	8	1	no	—
327	C₂×C₄	—	8	1	no	—
328	C₂×C₄	—	8	1	no	—
329	C₂×C₄	—	316	1	no	—
330	C₂×C₄	—	316	1	no	—
331	C₂×C₄	—	316	2	no	—
332	C₂×C₄	—	316	2	no	—
333	C₂×C₄	—	316	2	no	—
334	C₂×C₄	—	316	2	no	—
335	C₂×C₄	—	632	1	no	—
336	C₂×C₄	—	632	1	no	—
337	C₂×C₄	—	632	1	no	—
338	C₂×C₄	—	158	2	no	—
339	C₂×C₄	C₂²⋊C₄×D₇₉	1	1	yes	characteristic
340	C₂×C₄	C₄⋊C₄×D₇₉	1	1	yes	characteristic
341	C₂×C₄	#14579118	1	1	yes	characteristic
342	C₂×C₄	#14579134	1	1	yes	characteristic
343	C₂×C₄	#14579139	1	1	yes	characteristic
344	C₂×C₄	#14579139	1	1	yes	characteristic
345	C₂×C₄	D₈×D₇₉	1	1	yes	characteristic
346	C₂×C₄	SD₁₆×D₇₉	1	1	yes	characteristic
347	C₂×C₄	#14579185	1	1	yes	characteristic
348	C₂×C₄	#14579188	1	1	yes	characteristic
349	C₂×C₄	#14579188	1	1	yes	characteristic
350	C₂×C₄	#14579190	1	1	yes	characteristic
351	C₂×C₄	#14579193	1	1	yes	characteristic
352	C₂×C₄	#14579193	1	1	yes	characteristic
353	C₈	—	4	2	no	—
354	C₈	—	8	1	no	—
355	C₈	—	79	4	no	—
356	C₈	—	632	1	no	—
357	C₈	—	158	2	no	—
358	C₂²	—	316	2	no	—
359	C₂²	—	316	2	no	—
360	C₂²	—	316	2	no	—
361	C₂²	—	632	1	no	—
362	C₂²	—	632	1	no	—
363	C₂²	—	632	1	no	—
364	C₂²	—	632	1	no	—
365	C₂²	#19098422	1	1	yes	characteristic
366	C₂²	#19098757	1	1	yes	characteristic
367	C₂²	#19098767	1	1	yes	characteristic
368	C₂²	#19098808	1	1	yes	characteristic
369	C₂²	#19098812	1	1	yes	characteristic
370	C₂²	#19098825	1	1	yes	characteristic
371	C₂²	#19098829	1	1	yes	characteristic
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	16	1	no	—
375	C₄	—	316	2	no	—
376	C₄	—	1264	1	no	—
377	C₄	#102×D₇₉	1	1	yes	characteristic
378	C₄	#19098563	1	1	yes	characteristic
379	C₄	#19098602	1	1	yes	characteristic
380	C₄	#19098604	1	1	yes	characteristic
381	C₄	#19098815	1	1	yes	characteristic
382	C₄	#19098820	1	1	yes	characteristic
383	C₄	#19098842	1	1	yes	characteristic
384	C₄	#19098852	1	1	yes	characteristic
385	C₂	—	632	2	no	—
386	C₂	#23762864	1	1	yes	characteristic
387	C₂	#23762868	1	1	yes	characteristic
388	C₂	#23762898	1	1	yes	characteristic
389	C₂	#23762902	1	1	yes	characteristic
390	C₂	#23763399	1	1	yes	characteristic
391	C₂	#23763432	1	1	yes	characteristic
392	C₂	#23763458	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#14579134
commutator	C₄²×C₇₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₇₉
Fitting	C₇₉×#1296	C₂
socle	C₂³×C₇₉	#121
prime radical	C₂²×D₃₁₆	D₄
cosocle	C₂×C₄²×C₇₉	C₂³
hypercenter	#1296	D₇₉
hypocenter	C₇₉	#8650
LCS	G ▷ C₄²×C₇₉ ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1296

Complements

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

N	H ≅ G/N	type
2. #23763556	C₂	semidirect
5. C₂×#19098315	C₂	semidirect
6. #23761284	C₂	semidirect
7. C₇₉×#1296	C₂	semidirect
11. #19098640	C₄	semidirect
160. C₇₉⋊C₈	#102	semidirect
203. #1296	D₇₉	semidirect
204. C₇₉	#8650	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19098640	2
#23763556	2
#23763401	2
#23763397	2
C₂×#19098315	2
#23761284	2
C₇₉×#1296	2
#8650	79