Subgroups — #26105820

Order 12032.

614 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689175	C₂	1	1	yes	maximal, characteristic
2	C₂×#15689174	C₂	1	1	yes	maximal, characteristic
3	#20245784	C₂	1	1	yes	maximal, characteristic
4	#20241229	C₂	1	1	yes	maximal, characteristic, complemented
5	#20241228	C₂	1	1	yes	maximal, characteristic, complemented
6	#20241227	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₇×#1279	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
9	#15689175	—	2	2	no	—
10	#15689175	C₄	1	4	yes	complemented
11	#15689174	—	2	2	no	—
12	#15689174	C₄	1	4	yes	complemented
13	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
14	C₂×Dic₄₇⋊C₈	—	2	1	no	—
15	C₂×(C₂×D₄₇)⋊C₈	—	2	1	no	—
16	C₂×(C₂×D₄₇)⋊C₈	—	2	1	no	—
17	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₈×Dic₄₇	—	2	1	no	—
19	#15688990	—	2	1	no	—
20	#15688988	C₄	1	2	yes	—
21	#15688985	—	2	1	no	—
22	#15688980	C₄	1	2	yes	—
23	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
24	C₄×(C₂×D₄₇)⋊C₄	—	2	1	no	—
25	#15688969	—	2	1	no	—
26	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
28	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
29	C₂²×C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
30	C₂²×C₄×D₄₇	D₄	1	1	yes	characteristic
31	C₂²×C₄×D₄₇	D₄	1	1	yes	characteristic
32	C₂²×C₄₇⋊C₈	—	2	1	no	—
33	C₂²×C₄₇⋊C₈	—	2	1	no	—
34	C₂×C₄⋊Dic₄₇	C₂×C₄	1	2	yes	—
35	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
36	C₂×C₄×Dic₄₇	—	2	1	no	—
37	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
38	C₂×C₄×Dic₄₇	D₄	1	1	yes	characteristic
39	C₂×C₄×Dic₄₇	D₄	1	1	yes	characteristic
40	C₄²×D₄₇	C₂×C₄	1	2	yes	—
41	C₄²×D₄₇	C₂×C₄	1	2	yes	—
42	C₄²×D₄₇	D₄	1	2	yes	—
43	C₄²×D₄₇	Q₈	1	2	yes	—
44	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
45	C₄⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
46	Dic₄₇⋊C₈	—	2	4	no	—
47	(C₂×D₄₇)⋊C₈	—	2	4	no	—
48	(C₂×D₄₇)⋊C₈	—	2	4	no	—
49	C₄×C₄₇⋊C₈	—	2	1	no	—
50	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
51	C₈×Dic₄₇	—	2	4	no	—
52	C₄₇⋊#95	—	2	1	no	—
53	C₄₇⋊#95	—	2	2	no	—
54	C₄₇⋊#95	—	2	2	no	—
55	C₄₇⋊#95	—	2	2	no	—
56	C₂²×C₈×C₄₇	—	2	1	no	—
57	C₂²×C₈×C₄₇	—	2	1	no	—
58	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
59	C₂×C₄²×C₄₇	—	2	1	no	—
60	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
61	C₄⋊C₈×C₄₇	—	2	1	no	—
62	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
63	C₄×C₈×C₄₇	—	2	1	no	—
64	C₄×C₈×C₄₇	C₂×C₄	1	2	yes	—
65	#95×C₄₇	—	2	1	no	—
66	C₂³×D₄₇	C₂²⋊C₄	1	1	yes	characteristic
67	C₂²×C₄×C₄₇	—	2	2	no	—
68	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
69	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
70	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
71	C₂²×Dic₄₇	—	2	2	no	—
72	C₂²×Dic₄₇	C₂²⋊C₄	1	1	yes	characteristic
73	C₂²×Dic₄₇	C₂²⋊C₄	1	1	yes	characteristic
74	C₂²×Dic₄₇	C₂²⋊C₄	1	1	yes	characteristic
75	C₂×C₄×D₄₇	—	2	2	no	—
76	C₂×C₄×D₄₇	—	2	2	no	—
77	C₂×C₄×D₄₇	—	2	1	no	—
78	C₂×C₄×D₄₇	—	2	1	no	—
79	C₂×C₄×D₄₇	—	2	1	no	—
80	C₂×C₄×D₄₇	—	2	1	no	—
81	C₂×C₄×D₄₇	—	4	2	no	—
82	C₂×C₄×D₄₇	C₄²	1	2	yes	—
83	C₂×C₄×D₄₇	C₂²⋊C₄	1	2	yes	—
84	C₂×C₄×D₄₇	C₂²⋊C₄	1	2	yes	—
85	C₂×C₄×D₄₇	C₄⋊C₄	1	2	yes	—
86	C₂×C₄×D₄₇	C₄⋊C₄	1	2	yes	—
87	C₂×C₄×D₄₇	C₄⋊C₄	1	2	yes	—
88	C₂×C₈×C₄₇	—	2	2	no	—
89	C₂×C₈×C₄₇	—	2	2	no	—
90	C₂×C₈×C₄₇	—	4	2	no	—
91	C₂×C₈×C₄₇	—	4	1	no	—
92	C₂×C₈×C₄₇	—	4	1	no	—
93	C₄⋊C₄×C₄₇	—	2	2	no	—
94	C₄⋊C₄×C₄₇	—	2	2	no	—
95	C₄²×C₄₇	—	4	1	no	—
96	C₄²×C₄₇	—	4	1	no	—
97	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
98	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
99	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
100	C₄²×C₄₇	C₂×Q₈	1	1	yes	characteristic
101	(C₂×D₄₇)⋊C₄	—	4	4	no	—
102	C₄⋊Dic₄₇	—	2	2	no	—
103	C₄⋊Dic₄₇	—	2	2	no	—
104	C₄×Dic₄₇	—	4	1	no	—
105	C₄×Dic₄₇	—	4	1	no	—
106	C₄×Dic₄₇	C₄²	1	2	yes	—
107	C₄×Dic₄₇	C₂²⋊C₄	1	2	yes	—
108	C₄×Dic₄₇	C₂²⋊C₄	1	2	yes	—
109	C₄×Dic₄₇	C₄⋊C₄	1	2	yes	—
110	C₄×Dic₄₇	C₄⋊C₄	1	2	yes	—
111	C₄×Dic₄₇	C₄⋊C₄	1	2	yes	—
112	C₂×C₄₇⋊C₈	—	2	2	no	—
113	C₂×C₄₇⋊C₈	—	2	2	no	—
114	C₂×C₄₇⋊C₈	—	4	2	no	—
115	C₂×C₄₇⋊C₈	—	4	1	no	—
116	C₂×C₄₇⋊C₈	—	4	1	no	—
117	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
118	C₂²×D₄₇	—	2	2	no	—
119	C₂²×D₄₇	—	2	1	no	—
120	C₂²×D₄₇	—	2	1	no	—
121	C₂²×D₄₇	—	2	2	no	—
122	C₂²×D₄₇	#95	1	2	yes	—
123	C₂×C₄×C₄₇	—	2	2	no	—
124	C₂×C₄×C₄₇	—	4	2	no	—
125	C₂×C₄×C₄₇	—	4	2	no	—
126	C₂×C₄×C₄₇	—	4	2	no	—
127	C₂×C₄×C₄₇	C₂×C₄²	1	1	yes	characteristic
128	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
129	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
130	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
131	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
132	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
133	C₂×C₄×C₄₇	#131	1	2	yes	—
134	C₂×C₄×C₄₇	#131	1	2	yes	—
135	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
136	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
137	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
138	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
139	C₂×Dic₄₇	—	2	2	no	—
140	C₂×Dic₄₇	—	2	1	no	—
141	C₂×Dic₄₇	—	2	1	no	—
142	C₂×Dic₄₇	—	2	2	no	—
143	C₂×Dic₄₇	—	4	2	no	—
144	C₂×Dic₄₇	—	4	2	no	—
145	C₂×Dic₄₇	—	4	2	no	—
146	C₂×Dic₄₇	#95	1	2	yes	—
147	C₂×Dic₄₇	#95	1	2	yes	—
148	C₂×Dic₄₇	#95	1	2	yes	—
149	C₄×D₄₇	—	2	2	no	—
150	C₄×D₄₇	—	2	2	no	—
151	C₄×D₄₇	—	2	2	no	—
152	C₄×D₄₇	—	2	2	no	—
153	C₄×D₄₇	—	2	4	no	—
154	C₄×D₄₇	—	2	2	no	—
155	C₄×D₄₇	—	2	2	no	—
156	C₄×D₄₇	—	4	2	no	—
157	C₄×D₄₇	—	4	2	no	—
158	C₈×C₄₇	—	4	2	no	—
159	C₈×C₄₇	—	4	2	no	—
160	C₄₇⋊C₈	—	4	2	no	—
161	C₄₇⋊C₈	—	4	2	no	—
162	#7894	—	47	1	no	maximal, Sylow
163	C₂²×C₄₇	C₂×#95	1	1	yes	characteristic
164	C₂²×C₄₇	#408	1	2	yes	—
165	C₂²×C₄₇	#416	1	1	yes	characteristic
166	C₂²×C₄₇	#416	1	1	yes	characteristic
167	C₂²×C₄₇	#421	1	2	yes	—
168	C₂×D₄₇	—	2	2	no	—
169	C₂×D₄₇	—	2	2	no	—
170	C₂×D₄₇	—	2	2	no	—
171	C₂×D₄₇	—	4	2	no	—
172	C₂×D₄₇	—	4	2	no	—
173	C₄×C₄₇	—	2	1	no	—
174	C₄×C₄₇	—	2	1	no	—
175	C₄×C₄₇	—	8	2	no	—
176	C₄×C₄₇	#405	1	1	yes	characteristic
177	C₄×C₄₇	#405	1	1	yes	characteristic
178	C₄×C₄₇	#416	1	1	yes	characteristic
179	C₄×C₄₇	#416	1	1	yes	characteristic
180	C₄×C₄₇	#424	1	2	yes	—
181	C₄×C₄₇	#427	1	1	yes	characteristic
182	C₄×C₄₇	#427	1	1	yes	characteristic
183	Dic₄₇	—	2	2	no	—
184	Dic₄₇	—	2	2	no	—
185	Dic₄₇	—	2	2	no	—
186	Dic₄₇	—	8	2	no	—
187	C₂×#431	—	47	1	no	—
188	C₂×#431	—	47	1	no	—
189	#2283	—	47	1	no	—
190	#1279	—	47	1	no	—
191	#1279	—	47	1	no	—
192	#1279	—	47	1	no	—
193	#1279	D₄₇	1	1	yes	characteristic, complemented
194	C₂×C₄₇	#1482	1	2	yes	—
195	C₂×C₄₇	#1482	1	2	yes	—
196	C₂×C₄₇	#1729	1	1	yes	characteristic
197	C₂×C₄₇	#1733	1	1	yes	characteristic
198	C₂×C₄₇	#1735	1	1	yes	characteristic
199	D₄₇	—	4	2	no	—
200	C₂²×C₄²	—	47	1	no	—
201	#431	—	47	4	no	—
202	#431	—	47	4	no	—
203	#431	—	94	2	no	—
204	#431	—	94	2	no	—
205	C₂×C₄⋊C₈	—	47	1	no	—
206	C₂×C₄⋊C₈	—	94	1	no	—
207	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
208	C₂×C₂²⋊C₈	—	94	1	no	—
209	C₂×C₂²⋊C₈	—	94	1	no	—
210	C₂×C₄×C₈	—	47	1	no	—
211	C₂×C₄×C₈	—	94	1	no	—
212	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
213	#383	—	94	1	no	—
214	#382	—	47	2	no	—
215	#381	—	94	1	no	—
216	#380	—	47	2	no	—
217	C₄×C₄⋊C₄	—	47	1	no	—
218	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
219	C₄×C₂²⋊C₄	—	94	1	no	—
220	#376	—	94	1	no	—
221	C₄₇	#7894	1	1	yes	characteristic, complemented, Sylow
222	C₂³×C₄	—	47	1	no	—
223	C₂³×C₄	—	47	1	no	—
224	C₂³×C₄	—	47	1	no	—
225	C₂²×C₈	—	2	1	no	—
226	C₂²×C₈	—	2	1	no	—
227	C₂²×C₈	—	94	1	no	—
228	C₂²×C₈	—	94	1	no	—
229	C₂×C₄⋊C₄	—	47	2	no	—
230	C₂×C₄⋊C₄	C₄×D₄₇	1	2	yes	—
231	C₂×C₂²⋊C₄	—	94	2	no	—
232	C₂×C₄²	—	2	1	no	—
233	C₂×C₄²	—	47	1	no	—
234	C₂×C₄²	—	47	1	no	—
235	C₂×C₄²	—	47	1	no	—
236	C₂×C₄²	—	47	2	no	—
237	C₂×C₄²	—	47	2	no	—
238	C₂×C₄²	—	47	2	no	—
239	C₂×C₄²	—	47	2	no	—
240	C₂×C₄²	—	94	1	no	—
241	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
242	C₄⋊C₈	—	2	1	no	—
243	C₄⋊C₈	—	47	2	no	—
244	C₄⋊C₈	—	94	4	no	—
245	C₄⋊C₈	—	94	1	no	—
246	C₄⋊C₈	C₄×D₄₇	1	2	yes	—
247	C₂²⋊C₈	—	94	4	no	—
248	C₂²⋊C₈	—	94	4	no	—
249	C₄×C₈	—	2	1	no	—
250	C₄×C₈	—	47	2	no	—
251	C₄×C₈	—	94	4	no	—
252	C₄×C₈	—	94	1	no	—
253	C₄×C₈	C₄×D₄₇	1	2	yes	—
254	#95	—	2	1	no	—
255	#95	—	94	2	no	—
256	#95	—	94	2	no	—
257	#95	—	94	2	no	—
258	#95	—	94	1	no	—
259	C₂⁴	—	47	1	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	47	1	no	—
262	C₂²×C₄	—	47	1	no	—
263	C₂²×C₄	—	47	1	no	—
264	C₂²×C₄	—	47	2	no	—
265	C₂²×C₄	—	47	2	no	—
266	C₂²×C₄	—	47	2	no	—
267	C₂²×C₄	—	47	2	no	—
268	C₂²×C₄	—	47	2	no	—
269	C₂²×C₄	—	47	2	no	—
270	C₂²×C₄	—	94	2	no	—
271	C₂²×C₄	—	94	2	no	—
272	C₂²×C₄	—	94	1	no	—
273	C₂²×C₄	—	94	1	no	—
274	C₂²×C₄	—	94	1	no	—
275	C₂²×C₄	—	94	1	no	—
276	C₂²×C₄	—	94	2	no	—
277	C₂²×C₄	—	188	2	no	—
278	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
279	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
280	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	4	2	no	—
284	C₂×C₈	—	4	1	no	—
285	C₂×C₈	—	4	1	no	—
286	C₂×C₈	—	94	2	no	—
287	C₂×C₈	—	94	2	no	—
288	C₂×C₈	—	188	2	no	—
289	C₂×C₈	—	188	1	no	—
290	C₂×C₈	—	188	1	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	94	2	no	—
294	C₄⋊C₄	—	94	2	no	—
295	C₂²⋊C₄	—	188	4	no	—
296	C₄²	—	4	1	no	—
297	C₄²	—	4	1	no	—
298	C₄²	—	47	2	no	—
299	C₄²	—	47	2	no	—
300	C₄²	—	47	2	no	—
301	C₄²	—	47	2	no	—
302	C₄²	—	47	2	no	—
303	C₄²	—	47	2	no	—
304	C₄²	—	188	1	no	—
305	C₄²	—	188	1	no	—
306	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
307	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
308	C₄²	D₄×D₄₇	1	1	yes	characteristic
309	C₄²	Q₈×D₄₇	1	1	yes	characteristic
310	C₂³	—	47	2	no	—
311	C₂³	—	94	2	no	—
312	C₂³	—	94	1	no	—
313	C₂³	—	94	1	no	—
314	C₂³	—	94	2	no	—
315	C₂³	C₂²⋊C₄×D₄₇	1	1	yes	characteristic
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	47	2	no	—
321	C₂×C₄	—	47	2	no	—
322	C₂×C₄	—	47	2	no	—
323	C₂×C₄	—	94	2	no	—
324	C₂×C₄	—	94	1	no	—
325	C₂×C₄	—	94	1	no	—
326	C₂×C₄	—	94	2	no	—
327	C₂×C₄	—	94	2	no	—
328	C₂×C₄	—	94	2	no	—
329	C₂×C₄	—	94	2	no	—
330	C₂×C₄	—	94	2	no	—
331	C₂×C₄	—	94	4	no	—
332	C₂×C₄	—	94	2	no	—
333	C₂×C₄	—	94	2	no	—
334	C₂×C₄	—	188	2	no	—
335	C₂×C₄	—	188	2	no	—
336	C₂×C₄	—	188	2	no	—
337	C₂×C₄	—	188	2	no	—
338	C₂×C₄	—	188	2	no	—
339	C₂×C₄	C₄²×D₄₇	1	1	yes	characteristic
340	C₂×C₄	C₂²⋊C₄×D₄₇	1	1	yes	characteristic
341	C₂×C₄	C₂²⋊C₄×D₄₇	1	1	yes	characteristic
342	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
343	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
344	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
345	C₂×C₄	#13094030	1	2	yes	—
346	C₂×C₄	#13094032	1	2	yes	—
347	C₂×C₄	#13094043	1	1	yes	characteristic
348	C₂×C₄	#13094045	1	1	yes	characteristic
349	C₂×C₄	#13094045	1	1	yes	characteristic
350	C₂×C₄	#13094047	1	1	yes	characteristic
351	C₈	—	4	2	no	—
352	C₈	—	4	2	no	—
353	C₈	—	188	2	no	—
354	C₈	—	188	2	no	—
355	C₂²	—	94	2	no	—
356	C₂²	—	94	2	no	—
357	C₂²	—	94	2	no	—
358	C₂²	—	188	2	no	—
359	C₂²	—	188	2	no	—
360	C₂²	#95×D₄₇	1	1	yes	characteristic
361	C₂²	#15689088	1	2	yes	—
362	C₂²	#15689116	1	1	yes	characteristic
363	C₂²	#15689118	1	1	yes	characteristic
364	C₂²	#15689138	1	2	yes	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	8	2	no	—
368	C₄	—	94	2	no	—
369	C₄	—	94	2	no	—
370	C₄	—	94	2	no	—
371	C₄	—	376	2	no	—
372	C₄	#15689077	1	1	yes	characteristic
373	C₄	#15689080	1	1	yes	characteristic
374	C₄	#15689116	1	1	yes	characteristic
375	C₄	#15689118	1	1	yes	characteristic
376	C₄	#15689148	1	2	yes	—
377	C₄	#15689158	1	1	yes	characteristic
378	C₄	#15689160	1	1	yes	characteristic
379	C₂	—	188	2	no	—
380	C₂	#20241793	1	2	yes	—
381	C₂	#20241795	1	2	yes	—
382	C₂	#20243083	1	1	yes	characteristic
383	C₂	#20243096	1	1	yes	characteristic
384	C₂	#20243103	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂×C₄²
Frattini	C₂×C₄²	C₂²×D₄₇
Fitting	C₄₇×#1279	C₂
socle	C₂³×C₄₇	C₂×C₂²⋊C₄
prime radical	C₂³×D₄₇	C₂²⋊C₄
cosocle	C₂×C₄²×C₄₇	C₂³
hypercenter	#1279	D₄₇
hypocenter	C₄₇	#7894
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ #1279

Complements

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

N	H ≅ G/N	type
4. #20241229	C₂	semidirect
5. #20241228	C₂	semidirect
6. #20241227	C₂	semidirect
7. C₄₇×#1279	C₂	semidirect
10. #15689175	C₄	semidirect
12. #15689174	C₄	semidirect
193. #1279	D₄₇	semidirect
221. C₄₇	#7894	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689175	2
C₂×#15689174	2
#20245784	2
#20241229	2
#20241228	2
#20241227	2
C₄₇×#1279	2
#7894	47