Subgroups — #30826300

Order 17152.

606 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	#22570213	C₂	1	1	yes	maximal, characteristic
2	#22569304	C₂	1	1	yes	maximal, characteristic, complemented
3	#22569249	C₂	1	1	yes	maximal, characteristic
4	#22559114	C₂	1	2	yes	maximal, complemented
5	#22559096	C₂	1	2	yes	maximal, complemented
6	#22559084	C₂	1	2	yes	maximal, complemented
7	#22559049	C₂	1	2	yes	maximal, complemented
8	#22558987	C₂	1	1	yes	maximal, characteristic, complemented
9	#22558653	C₂	1	1	yes	maximal, characteristic
10	#22558506	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#1485	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
13	#16863724	C₄	1	2	yes	—
14	#16863683	C₄	1	2	yes	—
15	#16863598	C₄	1	2	yes	—
16	#16863546	C₄	1	2	yes	—
17	#16863527	—	2	2	no	—
18	#16863527	C₂²	1	2	yes	complemented
19	Q₈×C₆₇⋊C₈	C₂²	1	2	yes	complemented
20	C₄×#11761615	C₂²	1	2	yes	—
21	C₄×#11761615	C₂²	1	2	yes	—
22	#16863475	—	2	2	no	—
23	#16863473	C₂²	1	2	yes	—
24	#16863473	C₂²	1	2	yes	—
25	#16863457	—	2	2	no	—
26	#16863453	C₂²	1	1	yes	characteristic
27	#16863449	C₂²	1	1	yes	characteristic
28	#16863449	C₂²	1	1	yes	characteristic
29	#16863358	—	2	2	no	—
30	#16863148	C₂²	1	2	yes	complemented
31	#16863146	C₂²	1	2	yes	complemented
32	#16863125	C₂²	1	2	yes	—
33	#16863125	C₂²	1	2	yes	—
34	#16863118	C₂²	1	1	yes	characteristic, complemented
35	#16863118	C₂²	1	1	yes	characteristic, complemented
36	#16863117	C₂²	1	1	yes	characteristic, complemented
37	C₈×C₆₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
38	#533×C₆₇	C₂²	1	1	yes	characteristic
39	#431×C₆₇	C₂²	1	1	yes	characteristic
40	C₄×M₁₆×C₆₇	C₂²	1	1	yes	characteristic
41	Q₈⋊C₈×C₆₇	C₂²	1	2	yes	complemented
42	Q₈⋊C₈×C₆₇	C₂²	1	2	yes	complemented
43	C₂²×D₂₆₈	C₂×C₄	1	1	yes	characteristic
44	C₂²×C₄×D₆₇	—	2	1	no	—
45	C₂×#11761615	C₂×C₄	1	2	yes	—
46	C₂×#11761615	C₂×C₄	1	2	yes	—
47	C₂×#11761611	—	2	2	no	—
48	C₂×#11761611	—	2	2	no	—
49	C₄×D₂₆₈	—	2	1	no	—
50	C₄×D₂₆₈	—	2	1	no	—
51	C₄×D₂₆₈	C₂×C₄	1	2	yes	—
52	C₄×D₂₆₈	C₂³	1	2	yes	—
53	C₂×C₄⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
54	C₂×(C₂×D₆₇)⋊C₄	—	2	1	no	—
55	#14523974	C₂×C₄	1	2	yes	—
56	#14523974	C₂×C₄	1	2	yes	—
57	C₄⋊(C₆₇⋊C₈)	—	2	2	no	—
58	C₄⋊(C₆₇⋊C₈)	—	2	2	no	—
59	C₄⋊(C₆₇⋊C₈)	C₂×C₄	1	2	yes	—
60	C₄⋊(C₆₇⋊C₈)	D₄	1	2	yes	—
61	C₄⋊(C₆₇⋊C₈)	C₂³	1	2	yes	—
62	#14523967	C₂×C₄	1	2	yes	—
63	#14523967	C₂×C₄	1	2	yes	—
64	#14523963	C₂×C₄	1	2	yes	—
65	#14523963	C₂×C₄	1	2	yes	—
66	C₂²⋊(C₆₇⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₆₇⋊C₈)	C₂×C₄	1	2	yes	—
68	C₂²⋊(C₆₇⋊C₈)	D₄	1	2	yes	—
69	(C₂×D₆₇)⋊C₈	—	2	2	no	—
70	(C₂×D₆₇)⋊C₈	—	2	2	no	—
71	#14523954	—	2	2	no	—
72	#14523954	—	2	1	no	—
73	C₄×C₆₇⋊C₈	—	2	2	no	—
74	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
75	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
76	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
77	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
78	C₂×M₁₆×C₆₇	—	2	1	no	—
79	C₄⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
80	C₄⋊Q₈×C₆₇	C₂×C₄	1	1	yes	characteristic
81	#125×C₆₇	—	2	1	no	—
82	C₂²⋊Q₈×C₆₇	—	2	1	no	—
83	C₂²⋊Q₈×C₆₇	C₂×C₄	1	2	yes	—
84	C₄×Q₈×C₆₇	—	2	1	no	—
85	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
86	#117×C₆₇	—	2	1	no	—
87	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₆₇	C₂³	1	2	yes	—
89	C₂²⋊C₈×C₆₇	—	2	1	no	—
90	#97×C₆₇	—	2	1	no	—
91	C₄×C₈×C₆₇	—	2	1	no	—
92	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
94	C₂³×D₆₇	—	2	1	no	—
95	C₂×D₂₆₈	—	2	1	no	—
96	C₂×D₂₆₈	—	4	2	no	—
97	C₂×D₂₆₈	C₂²×C₄	1	2	yes	—
98	C₂²×Dic₆₇	—	2	1	no	—
99	C₂×C₄×D₆₇	—	2	2	no	—
100	C₂×C₄×D₆₇	—	2	2	no	—
101	C₂×C₄×D₆₇	—	8	2	no	—
102	#11761615	—	4	2	no	—
103	#11761615	—	4	2	no	—
104	#11761611	—	8	2	no	—
105	#11761611	—	8	2	no	—
106	C₂×C₆₇⋊C₈	—	2	2	no	—
107	C₂×C₆₇⋊C₈	C₂²×C₄	1	2	yes	—
108	C₂×C₆₇⋊C₈	C₂²×C₄	1	2	yes	—
109	C₂×C₆₇⋊C₈	C₂×D₄	1	2	yes	—
110	C₂×C₆₇⋊C₈	C₂×D₄	1	2	yes	—
111	C₄⋊Dic₆₇	—	2	1	no	—
112	C₄⋊Dic₆₇	C₂²×C₄	1	2	yes	—
113	(C₂×D₆₇)⋊C₄	—	2	2	no	—
114	(C₂×D₆₇)⋊C₄	—	2	2	no	—
115	C₂×Q₈×C₆₇	—	2	1	no	—
116	C₂×Q₈×C₆₇	C₂²×C₄	1	2	yes	—
117	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
118	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
119	C₂²×C₄×C₆₇	#41	1	1	yes	characteristic
120	M₁₆×C₆₇	—	4	2	no	—
121	C₂×C₈×C₆₇	—	2	1	no	—
122	C₂×C₈×C₆₇	—	2	2	no	—
123	C₂×C₈×C₆₇	—	2	1	no	—
124	C₄⋊C₄×C₆₇	—	2	1	no	—
125	C₄⋊C₄×C₆₇	—	2	1	no	—
126	C₄⋊C₄×C₆₇	—	2	1	no	—
127	C₄⋊C₄×C₆₇	—	2	2	no	—
128	C₄⋊C₄×C₆₇	—	2	2	no	—
129	C₄⋊C₄×C₆₇	C₂²×C₄	1	2	yes	—
130	C₂²⋊C₄×C₆₇	—	2	2	no	—
131	C₄²×C₆₇	—	2	2	no	—
132	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
133	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₆₇	#41	1	1	yes	characteristic
135	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
136	C₂³×C₆₇	C₄×D₄	1	1	yes	characteristic
137	C₂²×D₆₇	—	2	2	no	—
138	C₂²×D₆₇	—	4	2	no	—
139	C₂²×D₆₇	—	8	1	no	—
140	C₂²×D₆₇	—	8	1	no	—
141	Q₈×C₆₇	—	2	2	no	—
142	Q₈×C₆₇	—	2	2	no	—
143	Q₈×C₆₇	—	8	1	no	—
144	C₂×C₄×C₆₇	—	2	2	no	—
145	C₂×C₄×C₆₇	—	2	2	no	—
146	C₂×C₄×C₆₇	—	2	2	no	—
147	C₂×C₄×C₆₇	—	2	2	no	—
148	C₂×C₄×C₆₇	—	4	1	no	—
149	C₂×C₄×C₆₇	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₆₇	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₆₇	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₆₇	C₂×#41	1	1	yes	characteristic
155	C₂×Dic₆₇	—	2	2	no	—
156	C₂×Dic₆₇	—	8	1	no	—
157	D₂₆₈	—	2	2	no	—
158	D₂₆₈	—	2	2	no	—
159	D₂₆₈	—	4	2	no	—
160	C₄×D₆₇	—	4	2	no	—
161	C₄×D₆₇	—	4	2	no	—
162	C₄×D₆₇	—	8	2	no	—
163	C₈×C₆₇	—	2	2	no	—
164	C₈×C₆₇	—	4	1	no	—
165	C₈×C₆₇	—	4	2	no	—
166	C₆₇⋊C₈	—	2	2	no	—
167	C₆₇⋊C₈	—	2	2	no	—
168	C₆₇⋊C₈	—	2	2	no	—
169	C₆₇⋊C₈	—	2	2	no	—
170	C₆₇⋊C₈	—	4	2	no	—
171	C₂²×C₆₇	—	2	1	no	—
172	C₂²×C₆₇	—	2	1	no	—
173	C₂²×C₆₇	—	2	1	no	—
174	C₂²×C₆₇	C₂×C₄×D₄	1	1	yes	characteristic
175	C₂×D₆₇	—	4	2	no	—
176	C₂×D₆₇	—	4	2	no	—
177	C₂×D₆₇	—	4	2	no	—
178	C₂×D₆₇	—	8	4	no	—
179	C₄×C₆₇	—	2	1	no	—
180	C₄×C₆₇	—	2	1	no	—
181	C₄×C₆₇	—	2	1	no	—
182	C₄×C₆₇	—	2	1	no	—
183	C₄×C₆₇	—	4	2	no	—
184	C₄×C₆₇	—	4	2	no	—
185	C₄×C₆₇	#568	1	2	yes	—
186	C₄×C₆₇	#577	1	2	yes	—
187	Dic₆₇	—	4	2	no	—
188	#17952	—	67	1	no	maximal, Sylow
189	C₂×C₆₇	—	4	1	no	—
190	C₂×C₆₇	#2930	1	1	yes	characteristic
191	C₂×C₆₇	#2949	1	1	yes	characteristic
192	C₂×C₆₇	#2956	1	1	yes	characteristic
193	D₆₇	—	8	2	no	—
194	#3101	—	67	1	no	—
195	#2985	—	67	1	no	—
196	#2975	—	67	1	no	—
197	#1592	—	67	2	no	—
198	#1590	—	67	2	no	—
199	#1588	—	67	2	no	—
200	#1583	—	67	2	no	—
201	#1572	—	67	1	no	—
202	#1490	—	67	1	no	—
203	#1485	D₆₇	1	1	yes	characteristic, complemented
204	#1453	—	67	1	no	—
205	C₆₇	#17952	1	1	yes	characteristic, complemented, Sylow
206	#533	C₂×D₆₇	1	1	yes	characteristic
207	C₂×C₄×D₄	—	67	1	no	—
208	#483	—	67	2	no	—
209	#476	—	67	2	no	—
210	#461	—	67	2	no	—
211	#450	—	67	2	no	—
212	#446	—	67	2	no	—
213	#446	—	134	2	no	—
214	C₈×Q₈	—	67	2	no	—
215	C₄×SD₁₆	—	67	2	no	—
216	C₄×SD₁₆	—	67	2	no	—
217	#436	—	67	2	no	—
218	#436	—	67	2	no	—
219	#436	—	134	2	no	—
220	#433	—	134	2	no	—
221	#432	—	67	1	no	—
222	#431	—	67	1	no	—
223	#431	—	67	1	no	—
224	#431	C₂×D₆₇	1	1	yes	characteristic
225	#407	—	134	2	no	—
226	C₄×M₁₆	C₂×D₆₇	1	1	yes	characteristic
227	#335	—	67	2	no	—
228	#334	—	67	2	no	—
229	Q₈⋊C₈	C₂×D₆₇	1	2	yes	complemented
230	Q₈⋊C₈	C₂×D₆₇	1	2	yes	complemented
231	D₄⋊C₈	—	67	2	no	—
232	D₄⋊C₈	—	67	2	no	—
233	#322	—	67	1	no	—
234	#322	—	67	1	no	—
235	#322	—	67	1	no	—
236	C₈²	—	67	1	no	—
237	C₂²×D₄	—	67	1	no	—
238	C₂³×C₄	—	134	1	no	—
239	C₂×SD₁₆	—	67	2	no	—
240	C₂×SD₁₆	—	67	2	no	—
241	C₂×M₁₆	—	2	1	no	—
242	C₂×M₁₆	—	134	2	no	—
243	C₂×M₁₆	—	134	2	no	—
244	C₄⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
245	C₄⋊Q₈	C₄×D₆₇	1	1	yes	characteristic
246	#125	—	2	1	no	—
247	C₂²⋊Q₈	—	2	1	no	—
248	C₂²⋊Q₈	C₄×D₆₇	1	2	yes	—
249	C₄×Q₈	—	2	1	no	—
250	C₄×Q₈	C₂²×D₆₇	1	2	yes	—
251	C₄×D₄	—	67	2	no	—
252	C₄×D₄	—	67	2	no	—
253	C₄×D₄	—	134	1	no	—
254	C₄×D₄	—	134	1	no	—
255	#117	—	2	1	no	—
256	C₂×C₄⋊C₄	—	67	1	no	—
257	C₂×C₂²⋊C₄	—	134	1	no	—
258	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
259	#106	—	67	2	no	—
260	#106	—	67	2	no	—
261	C₄⋊C₈	—	67	2	no	—
262	C₄⋊C₈	—	67	2	no	—
263	C₄⋊C₈	—	67	2	no	—
264	C₄⋊C₈	—	134	2	no	—
265	C₄⋊C₈	—	134	2	no	—
266	C₄⋊C₈	C₂²×D₆₇	1	2	yes	—
267	#103	—	67	2	no	—
268	#103	—	67	2	no	—
269	#102	—	67	2	no	—
270	#102	—	67	2	no	—
271	C₂²⋊C₈	—	2	1	no	—
272	C₂²⋊C₈	—	67	2	no	—
273	C₂²⋊C₈	—	67	2	no	—
274	C₂²⋊C₈	—	134	2	no	—
275	C₂²⋊C₈	—	134	2	no	—
276	C₂²⋊C₈	—	134	1	no	—
277	#97	—	2	1	no	—
278	#97	—	134	2	no	—
279	#97	—	134	1	no	—
280	C₄×C₈	—	2	1	no	—
281	C₄×C₈	—	67	1	no	—
282	C₄×C₈	—	67	1	no	—
283	C₄×C₈	—	67	1	no	—
284	C₄×C₈	—	67	1	no	—
285	C₄×C₈	—	134	2	no	—
286	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
287	C₄×C₈	C₂²×D₆₇	1	1	yes	characteristic
288	C₂⁴	—	134	1	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×Q₈	C₂×C₄×D₆₇	1	2	yes	—
291	C₂×D₄	—	268	2	no	—
292	C₂×D₄	—	67	2	no	—
293	C₂×D₄	—	134	1	no	—
294	C₂²×C₄	—	536	2	no	—
295	C₂²×C₄	—	134	2	no	—
296	C₂²×C₄	—	134	1	no	—
297	C₂²×C₄	—	134	2	no	—
298	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
299	C₂²×C₄	D₄×D₆₇	1	1	yes	characteristic
300	C₂²×C₄	#11761627	1	1	yes	characteristic
301	SD₁₆	—	268	2	no	—
302	SD₁₆	—	268	2	no	—
303	M₁₆	—	4	2	no	—
304	M₁₆	—	536	2	no	—
305	M₁₆	—	536	2	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	67	2	no	—
310	C₂×C₈	—	67	2	no	—
311	C₂×C₈	—	67	2	no	—
312	C₂×C₈	—	67	2	no	—
313	C₂×C₈	—	134	2	no	—
314	C₄⋊C₄	—	2	1	no	—
315	C₄⋊C₄	—	2	1	no	—
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	67	2	no	—
320	C₄⋊C₄	—	134	1	no	—
321	C₄⋊C₄	C₂×C₄×D₆₇	1	2	yes	—
322	C₂²⋊C₄	—	2	2	no	—
323	C₂²⋊C₄	—	134	2	no	—
324	C₂²⋊C₄	—	134	2	no	—
325	C₄²	—	2	2	no	—
326	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
327	C₄²	D₄×D₆₇	1	1	yes	characteristic
328	C₄²	#11761627	1	1	yes	characteristic
329	C₄²	C₂³×D₆₇	1	1	yes	characteristic
330	C₂³	—	268	2	no	—
331	C₂³	—	536	1	no	—
332	C₂³	—	536	1	no	—
333	C₂³	—	134	2	no	—
334	C₂³	(C₂²⋊D₆₇)⋊C₄	1	1	yes	characteristic
335	Q₈	—	2	2	no	—
336	Q₈	—	2	2	no	—
337	Q₈	—	8	1	no	—
338	D₄	—	268	2	no	—
339	D₄	—	134	2	no	—
340	D₄	—	134	2	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	268	2	no	—
347	C₂×C₄	—	268	2	no	—
348	C₂×C₄	—	536	2	no	—
349	C₂×C₄	—	536	1	no	—
350	C₂×C₄	—	134	2	no	—
351	C₂×C₄	(C₂²⋊D₆₇)⋊C₄	1	1	yes	characteristic
352	C₂×C₄	(C₂²⋊D₆₇)⋊C₄	1	1	yes	characteristic
353	C₂×C₄	(C₂²⋊D₆₇)⋊C₄	1	1	yes	characteristic
354	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
355	C₂×C₄	C₂×D₄×D₆₇	1	1	yes	characteristic
356	C₂×C₄	C₂×#11761627	1	1	yes	characteristic
357	C₈	—	2	2	no	—
358	C₈	—	4	1	no	—
359	C₈	—	4	2	no	—
360	C₈	—	268	2	no	—
361	C₈	—	134	2	no	—
362	C₈	—	134	2	no	—
363	C₈	—	134	2	no	—
364	C₈	—	134	2	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	268	2	no	—
369	C₂²	—	268	2	no	—
370	C₂²	—	268	2	no	—
371	C₂²	—	536	4	no	—
372	C₂²	C₂×(C₂²⋊D₆₇)⋊C₄	1	1	yes	characteristic
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	4	2	no	—
378	C₄	—	4	2	no	—
379	C₄	—	268	2	no	—
380	C₄	#16864161	1	2	yes	—
381	C₄	#16864205	1	2	yes	—
382	C₂	—	4	1	no	—
383	C₂	—	536	2	no	—
384	C₂	#22568915	1	1	yes	characteristic
385	C₂	#22569064	1	1	yes	characteristic
386	C₂	#22569115	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₆₇
commutator	C₂×C₄×C₆₇	C₂³×C₄
Frattini	C₄²	C₂³×D₆₇
Fitting	C₆₇×#1485	C₂
socle	C₂²×C₆₇	C₂×C₄×D₄
prime radical	C₂²×D₂₆₈	C₂×C₄
cosocle	C₄²×C₆₇	C₂⁴
hypercenter	#1485	D₆₇
hypocenter	C₆₇	#17952
LCS	G ▷ C₂×C₄×C₆₇ ▷ C₂×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1485

Complements

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

N	H ≅ G/N	type
2. #22569304	C₂	semidirect
4. #22559114	C₂	semidirect
5. #22559096	C₂	semidirect
6. #22559084	C₂	semidirect
7. #22559049	C₂	semidirect
8. #22558987	C₂	semidirect
10. #22558506	C₂	semidirect
11. C₆₇×#1485	C₂	semidirect
18. #16863527	C₂²	semidirect
19. Q₈×C₆₇⋊C₈	C₂²	semidirect
30. #16863148	C₂²	semidirect
31. #16863146	C₂²	semidirect
34. #16863118	C₂²	semidirect
35. #16863118	C₂²	semidirect
36. #16863117	C₂²	semidirect
37. C₈×C₆₇⋊C₈	C₂²	semidirect
41. Q₈⋊C₈×C₆₇	C₂²	semidirect
42. Q₈⋊C₈×C₆₇	C₂²	semidirect
203. #1485	D₆₇	semidirect
205. C₆₇	#17952	semidirect
229. Q₈⋊C₈	C₂×D₆₇	semidirect
230. Q₈⋊C₈	C₂×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22570213	2
#22569304	2
#22569249	2
#22559114	2
#22559096	2
#22559084	2
#22559049	2
#22558987	2
#22558653	2
#22558506	2
C₆₇×#1485	2
#17952	67