Finite Group Databasebeta

← C2×#22564731 #31025072

Subgroups — C2×#22564731 #31025072

Order 17152.

2054 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22564731C2116yesmaximal, direct product factor
2C2×#16863330C211yesmaximal, characteristic
3C2×#16863330C211yesmaximal, characteristic
4C2×#16863327C211yesmaximal, characteristic
5C2×#16863293C211yesmaximal, characteristic
6C2×#16863292C211yesmaximal, characteristic
7C2×#16863291C211yesmaximal, characteristic
8C2×#16863291C211yesmaximal, characteristic
9C2×#16863291C211yesmaximal, characteristic
10C2×#16863291C211yesmaximal, characteristic
11C2×#16863283C211yesmaximal, characteristic
12C2×#16863277C211yesmaximal, characteristic
13C2×#16863265C211yesmaximal, characteristic
14C2×#16863247C211yesmaximal, characteristic
15C2×#16863247C211yesmaximal, characteristic
16C2×#398×C67C211yesmaximal, characteristic
17C22×C4⋊Dic67C2211yescharacteristic
18C22×C4⋊Dic67C2211yescharacteristic
19C22×Dic67⋊C4C2211yescharacteristic
20C22×Dic67⋊C4C2211yescharacteristic
21C22×Dic67⋊C4C2211yescharacteristic
22C22×Dic67⋊C4C2211yescharacteristic
23C22×Dic67⋊C4C2211yescharacteristic
24C22×Dic67⋊C4C2211yescharacteristic
25C22×Dic67⋊C4C2211yescharacteristic
26C22×Dic67⋊C4C2211yescharacteristic
27C22×Dic67⋊C4C2211yescharacteristic
28C22×Dic67⋊C4C2211yescharacteristic
29C22×Dic67⋊C4C2211yescharacteristic
30C22×Dic67⋊C4C2211yescharacteristic
31C22×C4×Dic67C2211yescharacteristic
32C22×C4×Dic67C2211yescharacteristic
33C22×C4×Dic67C2211yescharacteristic
34C22×C4×Dic67C2211yescharacteristic
35C22×C4×Dic67C2211yescharacteristic
36#16863330C2218yes—
37#16863330C2218yes—
38#16863327C2218yes—
39#16863293C2218yes—
40#16863292C2218yes—
41#16863291C2218yes—
42#16863291C2218yes—
43#16863291C2218yes—
44#16863291C2218yes—
45#16863283C2218yes—
46#16863277C2218yes—
47#16863265C2218yes—
48#16863247C2218yes—
49#16863247C2218yes—
50C2×C67⋊#95C2211yescharacteristic
51C2×C67⋊#95C2211yescharacteristic
52C2×C67⋊#95C2211yescharacteristic
53C2×C67⋊#95C2211yescharacteristic
54C2×C67⋊#95C2211yescharacteristic
55C2×C67⋊#95C2211yescharacteristic
56C2×C67⋊#95C2211yescharacteristic
57C2×C67⋊#95C2211yescharacteristic
58C2×C67⋊#95C2211yescharacteristic
59C22×C4⋊C4×C67C2211yescharacteristic
60C22×C4⋊C4×C67C2211yescharacteristic
61C22×C4⋊C4×C67C2211yescharacteristic
62C22×C4⋊C4×C67C2211yescharacteristic
63#398×C67C2218yes—
64C2×#95×C67C2211yescharacteristic
65C2×#95×C67C2211yescharacteristic
66C2×#95×C67C2211yescharacteristic
67C23×Dic67C2311yescharacteristic
68C23×Dic67C2311yescharacteristic
69C23×Dic67C2311yescharacteristic
70C23×Dic67C2311yescharacteristic
71C23×Dic67C2311yescharacteristic
72C23×Dic67C2311yescharacteristic
73C23×Dic67C2311yescharacteristic
74C23×Dic67C2311yescharacteristic
75C2×C4⋊Dic67—24no—
76C2×C4⋊Dic67—42no—
77C2×C4⋊Dic67C2314yes—
78C2×C4⋊Dic67C2314yes—
79C2×Dic67⋊C4—24no—
80C2×Dic67⋊C4—24no—
81C2×Dic67⋊C4—24no—
82C2×Dic67⋊C4—24no—
83C2×Dic67⋊C4—24no—
84C2×Dic67⋊C4—42no—
85C2×Dic67⋊C4—42no—
86C2×Dic67⋊C4—42no—
87C2×Dic67⋊C4—42no—
88C2×Dic67⋊C4—42no—
89C2×Dic67⋊C4Q818yes—
90C2×Dic67⋊C4Q818yes—
91C2×Dic67⋊C4C2314yes—
92C2×Dic67⋊C4C2314yes—
93C2×Dic67⋊C4C2314yes—
94C2×Dic67⋊C4C2314yes—
95C2×Dic67⋊C4C2314yes—
96C2×Dic67⋊C4C2314yes—
97C2×Dic67⋊C4C2314yes—
98C2×Dic67⋊C4C2314yes—
99C2×Dic67⋊C4C2314yes—
100C2×Dic67⋊C4C2314yes—
101C2×Dic67⋊C4C2314yes—
102C2×Dic67⋊C4C2314yes—
103C2×C4×Dic67—24no—
104C2×C4×Dic67—24no—
105C2×C4×Dic67—24no—
106C2×C4×Dic67—42no—
107C2×C4×Dic67—42no—
108C2×C4×Dic67C2314yes—
109C2×C4×Dic67C2314yes—
110C2×C4×Dic67C2314yes—
111C2×C4×Dic67C2314yes—
112C2×C4×Dic67C2314yes—
113C67⋊#95C2314yes—
114C67⋊#95C2314yes—
115C67⋊#95C2314yes—
116C67⋊#95C2314yes—
117C67⋊#95C2314yes—
118C67⋊#95C2314yes—
119C67⋊#95C2314yes—
120C67⋊#95C2314yes—
121C67⋊#95C2314yes—
122C23×C4×C67C2311yescharacteristic
123C23×C4×C67C2311yescharacteristic
124C23×C4×C67C2311yescharacteristic
125C23×C4×C67C2311yescharacteristic
126C23×C4×C67C2311yescharacteristic
127C23×C4×C67C2311yescharacteristic
128C23×C4×C67C2311yescharacteristic
129C2×C4⋊C4×C67—42no—
130C2×C4⋊C4×C67—42no—
131C2×C4⋊C4×C67—42no—
132C2×C4⋊C4×C67—42no—
133C2×C4⋊C4×C67C2314yes—
134C2×C4⋊C4×C67C2314yes—
135C2×C4⋊C4×C67C2314yes—
136C2×C4⋊C4×C67C2314yes—
137#95×C67C2314yes—
138#95×C67C2314yes—
139#95×C67C2314yes—
140C22×Dic67—22no—
141C22×Dic67—22no—
142C22×Dic67—22no—
143C22×Dic67—22no—
144C22×Dic67—22no—
145C22×Dic67—22no—
146C22×Dic67—22no—
147C22×Dic67—22no—
148C22×Dic67—22no—
149C22×Dic67—22no—
150C22×Dic67—22no—
151C22×Dic67—22no—
152C22×Dic67—22no—
153C22×Dic67—22no—
154C22×Dic67—22no—
155C22×Dic67—22no—
156C22×Dic67—22no—
157C22×Dic67C2×Q814yes—
158C22×Dic67C2×Q814yes—
159C22×Dic67C2×Q814yes—
160C22×Dic67C2×Q814yes—
161C22×Dic67#4114yes—
162C22×Dic67#4114yes—
163C22×Dic67#4114yes—
164C22×Dic67C2412yes—
165C22×Dic67C2412yes—
166C22×Dic67C2412yes—
167C22×Dic67C2412yes—
168C22×Dic67C2412yes—
169C22×Dic67C2412yes—
170C22×Dic67C2412yes—
171C22×Dic67C2412yes—
172C4⋊Dic67—28no—
173C4⋊Dic67—44no—
174Dic67⋊C4—28no—
175Dic67⋊C4—28no—
176Dic67⋊C4—28no—
177Dic67⋊C4—28no—
178Dic67⋊C4—28no—
179Dic67⋊C4—44no—
180Dic67⋊C4—44no—
181Dic67⋊C4—44no—
182Dic67⋊C4—44no—
183Dic67⋊C4—44no—
184Dic67⋊C4C2×Q8116yes—
185Dic67⋊C4C2×Q8116yes—
186C4×Dic67—28no—
187C4×Dic67—28no—
188C4×Dic67—28no—
189C4×Dic67—44no—
190C4×Dic67—44no—
191C24×C67C2411yescharacteristic
192C22×C4×C67—22no—
193C22×C4×C67—22no—
194C22×C4×C67—22no—
195C22×C4×C67—22no—
196C22×C4×C67—22no—
197C22×C4×C67—22no—
198C22×C4×C67—22no—
199C22×C4×C67—22no—
200C22×C4×C67—22no—
201C22×C4×C67—22no—
202C22×C4×C67—22no—
203C22×C4×C67—22no—
204C22×C4×C67—22no—
205C22×C4×C67—22no—
206C22×C4×C67—22no—
207C22×C4×C67—22no—
208C22×C4×C67—22no—
209C22×C4×C67—22no—
210C22×C4×C67—22no—
211C22×C4×C67C2×Q814yes—
212C22×C4×C67C2×Q814yes—
213C22×C4×C67C2412yes—
214C22×C4×C67C2412yes—
215C22×C4×C67C2412yes—
216C22×C4×C67C2412yes—
217C22×C4×C67C2412yes—
218C22×C4×C67C2412yes—
219C22×C4×C67C2412yes—
220C4⋊C4×C67—44no—
221C4⋊C4×C67—44no—
222C4⋊C4×C67—44no—
223C4⋊C4×C67—44no—
224C23×C67C22×Q812yes—
225C23×C67C22×Q812yes—
226C23×C67C2×#4112yes—
227C23×C67C2×#4112yes—
228C23×C67C2×#4112yes—
229C23×C67H(5,𝔽2)12yes—
230C23×C67H(5,𝔽2)12yes—
231C23×C67C2511yescharacteristic
232C2×C4×C67—28no—
233C2×C4×C67—28no—
234C2×C4×C67—22no—
235C2×C4×C67—22no—
236C2×C4×C67—22no—
237C2×C4×C67—22no—
238C2×C4×C67—22no—
239C2×C4×C67—22no—
240C2×C4×C67—22no—
241C2×C4×C67—22no—
242C2×C4×C67—22no—
243C2×C4×C67—22no—
244C2×C4×C67—22no—
245C2×C4×C67—22no—
246C2×C4×C67—22no—
247C2×C4×C67—22no—
248C2×C4×C67—22no—
249C2×C4×C67—22no—
250C2×C4×C67—22no—
251C2×C4×C67—22no—
252C2×C4×C67—22no—
253C2×C4×C67—44no—
254C2×C4×C67—44no—
255C2×C4×C67—44no—
256C2×C4×C67—44no—
257C2×C4×C67—44no—
258C2×C4×C67C22×Q814yes—
259C2×C4×C67C22×Q814yes—
260C2×Dic67—28no—
261C2×Dic67—28no—
262C2×Dic67—28no—
263C2×Dic67—28no—
264C2×Dic67—22no—
265C2×Dic67—22no—
266C2×Dic67—22no—
267C2×Dic67—22no—
268C2×Dic67—22no—
269C2×Dic67—22no—
270C2×Dic67—22no—
271C2×Dic67—22no—
272C2×Dic67—22no—
273C2×Dic67—22no—
274C2×Dic67—22no—
275C2×Dic67—22no—
276C2×Dic67—22no—
277C2×Dic67—22no—
278C2×Dic67—22no—
279C2×Dic67—22no—
280C2×Dic67—22no—
281C2×Dic67—44no—
282C2×Dic67—44no—
283C2×Dic67—44no—
284C2×Dic67#125116yes—
285C2×Dic67C22×Q814yes—
286C2×Dic67C22×Q814yes—
287C2×Dic67C22×Q814yes—
288C2×Dic67C22×Q814yes—
289C2×Dic67C2×#4114yes—
290C2×Dic67C2×#4114yes—
291C2×Dic67C2×#4114yes—
292C22×C67C2×#12514yes—
293C22×C67#53314yes—
294C22×C67#54014yes—
295C22×C67#55314yes—
296C22×C67#55414yes—
297C22×C67#55414yes—
298C22×C67Q8214yes—
299C22×C67C23×Q811yescharacteristic
300C22×C67C23×Q811yescharacteristic
301C22×C67C22×#4111yescharacteristic
302C22×C67C22×#4111yescharacteristic
303C22×C67C22×#4111yescharacteristic
304C22×C67C2×H(5,𝔽2)11yescharacteristic
305C22×C67C2×H(5,𝔽2)11yescharacteristic
306C4×C67—24no—
307C4×C67—24no—
308C4×C67—42no—
309C4×C67—42no—
310C4×C67—42no—
311C4×C67—42no—
312C4×C67—42no—
313Dic67—24no—
314Dic67—24no—
315Dic67—24no—
316Dic67—24no—
317Dic67—42no—
318Dic67—42no—
319Dic67—42no—
320Dic67C2×#12518yes—
321C2×#2507—671nomaximal, Sylow
322C2×C67#250718yescomplemented
323C2×C67C22×#12511yescharacteristic
324C2×C67C2×#53311yescharacteristic
325C2×C67C2×#54011yescharacteristic
326C2×C67C2×#55311yescharacteristic
327C2×C67C2×#55411yescharacteristic
328C2×C67C2×#55411yescharacteristic
329C2×C67C2×Q8211yescharacteristic
330#2507—6716no—
331C2×#398—671no—
332C2×#398—671no—
333C2×#398—671no—
334C2×#398D6711yescharacteristic
335C2×#389—671no—
336C2×#389—671no—
337C2×#389—671no—
338C2×#389—671no—
339C2×#389—671no—
340C2×#389—671no—
341C2×#387—671no—
342C2×#387—671no—
343C2×#384—671no—
344C2×C4×C4⋊C4—671no—
345C2×C4×C4⋊C4—671no—
346C67C2×#250711yescharacteristic, complemented, Sylow
347C22×C4⋊C4—671no—
348C22×C4⋊C4—671no—
349C22×C4⋊C4—671no—
350C22×C4⋊C4—671no—
351C22×C4⋊C4—671no—
352C22×C4⋊C4—671no—
353C22×C4⋊C4—671no—
354C22×C4⋊C4—671no—
355C22×C4⋊C4—671no—
356C22×C4⋊C4—671no—
357C22×C4⋊C4—671no—
358C22×C4⋊C4—671no—
359C22×C4⋊C4—671no—
360C22×C4⋊C4—671no—
361C22×C4⋊C4C2×D6711yescharacteristic
362C22×C4⋊C4C2×D6711yescharacteristic
363C22×C4⋊C4C2×D6711yescharacteristic
364C22×C4⋊C4C2×D6711yescharacteristic
365C22×C42—671no—
366C22×C42—671no—
367C22×C42—671no—
368C22×C42—671no—
369C22×C42—671no—
370#398—678no—
371#398—678no—
372#398—678no—
373#398C2×D6718yes—
374#389—678no—
375#389—678no—
376#389—678no—
377#389—678no—
378#389—678no—
379#389—678no—
380#387—678no—
381#387—678no—
382#384—678no—
383C4×C4⋊C4—678no—
384C4×C4⋊C4—678no—
385C2×#95—671no—
386C2×#95—671no—
387C2×#95—671no—
388C2×#95—671no—
389C2×#95—671no—
390C2×#95—671no—
391C2×#95—671no—
392C2×#95—671no—
393C2×#95—671no—
394C2×#95C2×D6711yescharacteristic
395C2×#95C2×D6711yescharacteristic
396C2×#95C2×D6711yescharacteristic
397C23×C4—671no—
398C23×C4—671no—
399C23×C4—671no—
400C23×C4—671no—
401C23×C4—671no—
402C23×C4—671no—
403C23×C4—671no—
404C23×C4—671no—
405C23×C4C22×D6711yescharacteristic
406C23×C4C22×D6711yescharacteristic
407C23×C4C22×D6711yescharacteristic
408C23×C4C22×D6711yescharacteristic
409C23×C4C22×D6711yescharacteristic
410C23×C4C22×D6711yescharacteristic
411C23×C4C22×D6711yescharacteristic
412C2×C4⋊C4—42no—
413C2×C4⋊C4—42no—
414C2×C4⋊C4—42no—
415C2×C4⋊C4—42no—
416C2×C4⋊C4—2682no—
417C2×C4⋊C4—2682no—
418C2×C4⋊C4—2682no—
419C2×C4⋊C4—2682no—
420C2×C4⋊C4—2682no—
421C2×C4⋊C4—2682no—
422C2×C4⋊C4—674no—
423C2×C4⋊C4—674no—
424C2×C4⋊C4—674no—
425C2×C4⋊C4—674no—
426C2×C4⋊C4—674no—
427C2×C4⋊C4—674no—
428C2×C4⋊C4—678no—
429C2×C4⋊C4—678no—
430C2×C4⋊C4—674no—
431C2×C4⋊C4—674no—
432C2×C4⋊C4—674no—
433C2×C4⋊C4—674no—
434C2×C4⋊C4—674no—
435C2×C4⋊C4—674no—
436C2×C4⋊C4—674no—
437C2×C4⋊C4—674no—
438C2×C4⋊C4—1344no—
439C2×C4⋊C4—1344no—
440C2×C4⋊C4—1344no—
441C2×C4⋊C4—1344no—
442C2×C4⋊C4—1344no—
443C2×C4⋊C4—1344no—
444C2×C4⋊C4C22×D6714yes—
445C2×C4⋊C4C22×D6714yes—
446C2×C4⋊C4C22×D6714yes—
447C2×C4⋊C4C22×D6714yes—
448C2×C42—2682no—
449C2×C42—2682no—
450C2×C42—674no—
451C2×C42—674no—
452C2×C42—674no—
453C2×C42—674no—
454C2×C42—674no—
455C2×C42—1344no—
456C2×C42—1344no—
457C2×C42—1344no—
458#95—674no—
459#95—674no—
460#95—674no—
461#95—674no—
462#95—674no—
463#95—674no—
464#95—674no—
465#95—674no—
466#95—674no—
467#95C22×D6714yes—
468#95C22×D6714yes—
469#95C22×D6714yes—
470C24C23×D6711yescharacteristic
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—674no—
491C22×C4—674no—
492C22×C4—674no—
493C22×C4—672no—
494C22×C4—674no—
495C22×C4—674no—
496C22×C4—674no—
497C22×C4—674no—
498C22×C4—672no—
499C22×C4—672no—
500C22×C4—672no—
501C22×C4—672no—
502C22×C4—672no—
503C22×C4—672no—
504C22×C4—672no—
505C22×C4—1342no—
506C22×C4—1342no—
507C22×C4—1342no—
508C22×C4—1342no—
509C22×C4—1342no—
510C22×C4—1342no—
511C22×C4—1342no—
512C22×C4—1342no—
513C22×C4—1342no—
514C22×C4—1342no—
515C22×C4—1342no—
516C22×C4—1342no—
517C22×C4—1342no—
518C22×C4—1342no—
519C22×C4—1342no—
520C22×C4—1342no—
521C22×C4—1342no—
522C22×C4Q8×D6714yes—
523C22×C4Q8×D6714yes—
524C22×C4C23×D6712yes—
525C22×C4C23×D6712yes—
526C22×C4C23×D6712yes—
527C22×C4C23×D6712yes—
528C22×C4C23×D6712yes—
529C22×C4C23×D6712yes—
530C22×C4C23×D6712yes—
531C4⋊C4—44no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—2684no—
536C4⋊C4—2684no—
537C4⋊C4—2684no—
538C4⋊C4—2684no—
539C4⋊C4—2684no—
540C4⋊C4—2684no—
541C4⋊C4—6716no—
542C4⋊C4—6716no—
543C4⋊C4—1348no—
544C4⋊C4—1348no—
545C4⋊C4—1348no—
546C4⋊C4—1348no—
547C4⋊C4—1348no—
548C4⋊C4—1348no—
549C42—2684no—
550C42—2684no—
551C42—1348no—
552C42—1348no—
553C42—1348no—
554C23C2×Q8×D6712yes—
555C23C2×Q8×D6712yes—
556C23#41×D6712yes—
557C23#41×D6712yes—
558C23#41×D6712yes—
559C23#1452408812yes—
560C23#1452408812yes—
561C23C24×D6711yescharacteristic
562C2×C4—28no—
563C2×C4—28no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—44no—
584C2×C4—44no—
585C2×C4—44no—
586C2×C4—44no—
587C2×C4—44no—
588C2×C4—2684no—
589C2×C4—2684no—
590C2×C4—2684no—
591C2×C4—6716no—
592C2×C4—674no—
593C2×C4—674no—
594C2×C4—674no—
595C2×C4—674no—
596C2×C4—674no—
597C2×C4—674no—
598C2×C4—674no—
599C2×C4—1342no—
600C2×C4—1342no—
601C2×C4—1342no—
602C2×C4—1342no—
603C2×C4—1342no—
604C2×C4—1342no—
605C2×C4—1342no—
606C2×C4—1342no—
607C2×C4—1342no—
608C2×C4—1348no—
609C2×C4—1348no—
610C2×C4—1348no—
611C2×C4—1348no—
612C2×C4—1342no—
613C2×C4—1342no—
614C2×C4—1342no—
615C2×C4—1342no—
616C2×C4—1342no—
617C2×C4—1342no—
618C2×C4—1342no—
619C2×C4—1342no—
620C2×C4C2×Q8×D6714yes—
621C2×C4C2×Q8×D6714yes—
622C22#125×D6714yes—
623C22#1686395214yes—
624C22#1686399614yes—
625C22#1686409114yes—
626C22#1686410014yes—
627C22#1686410014yes—
628C22#1686412614yes—
629C22C22×Q8×D6711yescharacteristic
630C22C22×Q8×D6711yescharacteristic
631C22C2×#41×D6711yescharacteristic
632C22C2×#41×D6711yescharacteristic
633C22C2×#41×D6711yescharacteristic
634C22C2×#1452408811yescharacteristic
635C22C2×#1452408811yescharacteristic
636C4—24no—
637C4—24no—
638C4—42no—
639C4—42no—
640C4—42no—
641C4—42no—
642C4—42no—
643C4—2682no—
644C4—2682no—
645C4—2682no—
646C4—678no—
647C4—1344no—
648C4—1344no—
649C4—1344no—
650C4—1344no—
651C2#2256473118yesdirect product factor
652C2C2×#125×D6711yescharacteristic
653C2C2×#1686395211yescharacteristic
654C2C2×#1686399611yescharacteristic
655C2C2×#1686409111yescharacteristic
656C2C2×#1686410011yescharacteristic
657C2C2×#1686410011yescharacteristic
658C2C2×#1686412611yescharacteristic
subgroupG/H
centerC24C23×D67
commutator, cosocleC23×C67C25
FrattiniC23C24×D67
FittingC2×#398×C67C2
socle, prime radicalC24×C67C24
hypercenterC2×#398D67
hypocenterC67C2×#2507
LCSG ▷ C23×C67 ▷ C67
UCSC1 ◁ C24 ◁ C2×#398

Complements

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

NH ≅ G/Ntype
1. #22564731C2direct (N × H)
322. C2×C67#2507semidirect
346. C67C2×#2507semidirect
651. C2#22564731direct (N × H)

Maximal subgroups

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

subgroupindex
#225647312
C2×#168633302
C2×#168633272
C2×#168632932
C2×#168632922
C2×#168632912
C2×#168632832
C2×#168632772
C2×#168632652
C2×#168632472
C2×#398×C672
C2×#250767