Finite Group Databasebeta

← #29657328

Subgroups — #29657328

Order 15616.

890 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21457145C211yesmaximal, characteristic
2#21456144C211yesmaximal, characteristic, complemented
3#21455941C211yesmaximal, characteristic, complemented
4#21444991C211yesmaximal, characteristic, complemented
5#21444984C211yesmaximal, characteristic, complemented
6#21444977C211yesmaximal, characteristic, complemented
7#21444977C211yesmaximal, characteristic, complemented
8#21444929C211yesmaximal, characteristic, complemented
9#21444922C211yesmaximal, characteristic, complemented
10#21444915C211yesmaximal, characteristic, complemented
11#21444915C211yesmaximal, characteristic, complemented
12#21444519C211yesmaximal, characteristic, complemented
13#21444279C211yesmaximal, characteristic, complemented
14C2×Q8⋊#92418C211yesmaximal, characteristic, complemented
15C61×#3523C211yesmaximal, characteristic, complemented
16#16840312C2211yescharacteristic
17#16840119—22no—
18#16840114C2211yescharacteristic
19#16840114C2211yescharacteristic
20#16840110C2211yescharacteristic
21#16840110C2211yescharacteristic
22#16840075—21no—
23#16840059—21no—
24#16840057C2211yescharacteristic
25#16840057C2211yescharacteristic
26#16840057C2211yescharacteristic
27#16840052C2211yescharacteristic
28#16839996—21no—
29#16839993—21no—
30#16839974—21no—
31#16839962C2211yescharacteristic
32#16839962C2211yescharacteristic
33#16839962C2211yescharacteristic
34#16839957C2211yescharacteristic
35#16839901—21no—
36#16839860—21no—
37#16839860—21no—
38#16839819C2211yescharacteristic
39C2×C4⋊#92418C2211yescharacteristic
40#16839756—22no—
41C2×C4×#92418C2211yescharacteristic
42#16839508C2211yescharacteristic
43#16839508C2211yescharacteristic
44#16839508C2211yescharacteristic
45#16839508C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50Q8⋊#92418C2211yescharacteristic
51Q8⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#557—21no—
55C61×#557C2211yescharacteristic
56C61×#557C2211yescharacteristic
57C61×#556—21no—
58C61×#556C2211yescharacteristic
59C61×#552—22no—
60C61×#552—21no—
61D4×Q8×C61—21no—
62D4×Q8×C61C2211yescharacteristic
63C61×#541—22no—
64C61×#541—21no—
65C61×#533—21no—
66C61×#533C2211yescharacteristic
67C61×#529—21no—
68C61×#529C2211yescharacteristic
69C61×#519—21no—
70C2×C4×Q8×C61C2211yescharacteristic
71C2×#11758222—21no—
72C2×#11758201—21no—
73C2×#11758201—21no—
74C2×#11758201—21no—
75C2×#11758199—21no—
76C22×#92418—21no—
77C22×#92418—21no—
78#14519777C2311yescharacteristic
79#14519774C2311yescharacteristic
80#14519765—21no—
81#14519751—21no—
82#14519751—21no—
83C4×D244—21no—
84C4×D244—21no—
85#14519710—21no—
86#14519710—21no—
87#14519710—21no—
88#14519708—21no—
89C4⋊#92418—21no—
90C4⋊#92418C2311yescharacteristic
91C4⋊#92418C2311yescharacteristic
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94#14519701—21no—
95#14519701—21no—
96#14519701—21no—
97#14519700—22no—
98#14519700—22no—
99#14519698—21no—
100#14519697—21no—
101#14519697—21no—
102#14519697—21no—
103#14519697—21no—
104#14519697—22no—
105#14519697—22no—
106C22⋊#92418—21no—
107#14519688—21no—
108C4×#92418—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C22×Q8×C61—21no—
112C22×Q8×C61D411yescharacteristic
113C4⋊Q8×C61—22no—
114C4⋊Q8×C61—21no—
115C4⋊Q8×C61—21no—
116C4⋊Q8×C61—21no—
117C4⋊Q8×C61C2311yescharacteristic
118C4⋊Q8×C61C2311yescharacteristic
119#126×C61—22no—
120#126×C61—22no—
121#126×C61—22no—
122#126×C61—22no—
123#126×C61—21no—
124#125×C61—22no—
125#125×C61—22no—
126#125×C61—22no—
127#125×C61—22no—
128#125×C61—22no—
129#125×C61—21no—
130#125×C61—21no—
131#125×C61D412yes—
132#125×C61D411yescharacteristic
133#124×C61—21no—
134#124×C61D411yescharacteristic
135#123×C61—22no—
136#123×C61—21no—
137C22⋊Q8×C61—22no—
138C22⋊Q8×C61—22no—
139C22⋊Q8×C61—21no—
140C22⋊Q8×C61—21no—
141C22⋊Q8×C61—21no—
142C22⋊Q8×C61—21no—
143C22⋊Q8×C61—22no—
144C22⋊Q8×C61D411yescharacteristic
145#121×C61D411yescharacteristic
146C4×Q8×C61—22no—
147C4×Q8×C61—22no—
148C4×Q8×C61—21no—
149C4×Q8×C61—21no—
150C4×Q8×C61—21no—
151C4×Q8×C61—21no—
152C4×Q8×C61—21no—
153C4×Q8×C61—21no—
154C4×Q8×C61—21no—
155C4×Q8×C61—21no—
156C4×Q8×C61—21no—
157C4×Q8×C61D411yescharacteristic
158C4×Q8×C61D411yescharacteristic
159C4×Q8×C61C2311yescharacteristic
160C4×Q8×C61C2311yescharacteristic
161C4×Q8×C61C2311yescharacteristic
162C4×D4×C61—22no—
163C4×D4×C61—21no—
164C4×D4×C61—21no—
165C4×D4×C61C2311yescharacteristic
166#117×C61—22no—
167#117×C61—22no—
168#117×C61—22no—
169#117×C61—21no—
170#117×C61—21no—
171#117×C61D412yes—
172C2×C4⋊C4×C61—21no—
173C2×C4⋊C4×C61D411yescharacteristic
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176C2×Q8×C61—22no—
177C2×Q8×C61—21no—
178C2×Q8×C61—21no—
179C2×Q8×C61—21no—
180C2×Q8×C61—22no—
181C2×Q8×C61—41no—
182C2×Q8×C61—42no—
183C2×Q8×C61—42no—
184C2×Q8×C61C2×D411yescharacteristic
185C2×Q8×C61C2×D411yescharacteristic
186C2×Q8×C61C2×D411yescharacteristic
187C2×D4×C61—21no—
188C2×D4×C61C2×D411yescharacteristic
189C22×C4×C61—22no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61—21no—
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61C2×D411yescharacteristic
196C2×C22⋊D61—41no—
197#11758222—44no—
198C2×D244—21no—
199C2×D244—21no—
200C2×D244—21no—
201C2×C4×D61—41no—
202C2×Dic122—21no—
203C4⋊C4×C61—22no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61—22no—
206C4⋊C4×C61—22no—
207C4⋊C4×C61—22no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—22no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D411yescharacteristic
226C4⋊C4×C61C2×D412yes—
227C4⋊C4×C61C2×D412yes—
228C4⋊C4×C61C2×D411yescharacteristic
229C4⋊C4×C61C2×D411yescharacteristic
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—21no—
239C42×C61—22no—
240C42×C61—22no—
241C42×C61—22no—
242C42×C61—21no—
243C42×C61—21no—
244C42×C61—22no—
245C42×C61—21no—
246C42×C61—21no—
247C42×C61—21no—
248C42×C61C2×D411yescharacteristic
249C42×C61C2×D411yescharacteristic
250C42×C61C2×D411yescharacteristic
251C42×C61C2411yescharacteristic
252#11758201—42no—
253#11758201—42no—
254#11758201—81no—
255#11758199—81no—
256#11758198—41no—
257#11758198—41no—
258C4⋊Dic61—21no—
259C4⋊Dic61—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—42no—
267C2×#92418—81no—
268C23×C61—21no—
269C23×C61#12011yescharacteristic
270C22×D61—41no—
271Q8×C61—21no—
272Q8×C61—21no—
273Q8×C61—21no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—42no—
277Q8×C61—44no—
278Q8×C61—41no—
279Q8×C61—41no—
280Q8×C61—41no—
281Q8×C61—41no—
282Q8×C61#13512yes—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—42no—
286C2×C4×C61—21no—
287C2×C4×C61—22no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—22no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—22no—
300C2×C4×C61—42no—
301C2×C4×C61—44no—
302C2×C4×C61—42no—
303C2×C4×C61—41no—
304C2×C4×C61—41no—
305C2×C4×C61#12011yescharacteristic
306C2×C4×C61#12011yescharacteristic
307C2×C4×C61#12011yescharacteristic
308C2×C4×C61C22×D411yescharacteristic
309C2×C4×C61C22×D411yescharacteristic
310C2×C4×C61C22×D411yescharacteristic
311C22⋊D61—82no—
312C2×Dic61—41no—
313D244—42no—
314D244—41no—
315D244—41no—
316D244—41no—
317D244—41no—
318C4×D61—82no—
319Dic122—42no—
320#92418—41no—
321#92418—41no—
322#92418—41no—
323#92418—41no—
324#92418—41no—
325#92418—41no—
326#18639—611nomaximal, Sylow
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61#45412yes—
333C22×C61C2×#12011yescharacteristic
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C4×C61—21no—
338C4×C61—22no—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—41no—
343C4×C61—42no—
344C4×C61—41no—
345C4×C61—41no—
346C4×C61—42no—
347C4×C61—41no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61C2×#13511yescharacteristic
351C4×C61#57511yescharacteristic
352C4×C61#57711yescharacteristic
353C4×C61#57811yescharacteristic
354Dic61—81no—
355#3523D6111yescharacteristic, complemented
356#3247—611no—
357#3131—611no—
358#3112—611no—
359#1638—611no—
360#1637—611no—
361#1636—611no—
362#1636—611no—
363#1628—611no—
364#1627—611no—
365#1626—611no—
366#1626—611no—
367#1552—611no—
368#1494—611no—
369C2×Q8⋊C8—611no—
370C2×C61—22no—
371C2×C61—81no—
372C2×C61#300211yescharacteristic
373C2×C61#301311yescharacteristic
374C2×C61C2×#45411yescharacteristic
375D61—161no—
376#557—21no—
377#557C2×D6111yescharacteristic
378#557C2×D6111yescharacteristic
379#556—21no—
380#556C2×D6111yescharacteristic
381#552—22no—
382#552—21no—
383D4×Q8—21no—
384D4×Q8C2×D6111yescharacteristic
385#541—22no—
386#541—21no—
387#533—21no—
388#533C2×D6111yescharacteristic
389#532—611no—
390#529—21no—
391#529C2×D6111yescharacteristic
392#519—21no—
393C2×C4×Q8C2×D6111yescharacteristic
394#488—1222no—
395#487—611no—
396#487—611no—
397#486—611no—
398#486—611no—
399#480—1221no—
400#478—1221no—
401#477—611no—
402#477—611no—
403#477—611no—
404#476—611no—
405#466—1221no—
406#465—1221no—
407#463—1221no—
408#460—611no—
409#460—611no—
410#460—611no—
411#459—611no—
412#448—1221no—
413#440—1221no—
414#440—1221no—
415#432—611no—
416C2×C4⋊C8—611no—
417#416—1222no—
418C2×C4×C8—611no—
419#332—611no—
420#332—611no—
421#332—611no—
422#332—611no—
423Q8⋊C8—611no—
424Q8⋊C8—611no—
425Q8⋊C8—611no—
426Q8⋊C8—611no—
427Q8⋊C8—611no—
428Q8⋊C8—611no—
429D4⋊C8—611no—
430D4⋊C8—611no—
431C61#1863911yescharacteristic, complemented, Sylow
432C2×#41—1221no—
433C22×Q8—21no—
434C22×Q8C22⋊D6111yescharacteristic
435C2×SD16—1221no—
436C2×SD16—1221no—
437C2×SD16—1221no—
438C2×D8—1221no—
439C22×C8—1221no—
440C22×C8—1221no—
441C4⋊Q8—22no—
442C4⋊Q8—21no—
443C4⋊Q8—21no—
444C4⋊Q8—21no—
445C4⋊Q8—611no—
446C4⋊Q8C22×D6111yescharacteristic
447C4⋊Q8C22×D6111yescharacteristic
448#127—611no—
449#126—22no—
450#126—22no—
451#126—22no—
452#126—22no—
453#126—21no—
454#125—22no—
455#125—22no—
456#125—22no—
457#125—21no—
458#125—22no—
459#125—22no—
460#125—21no—
461#125C22⋊D6111yescharacteristic
462#125C22⋊D6112yes—
463#124—21no—
464#124—1221no—
465#124C22⋊D6111yescharacteristic
466#123—22no—
467#123—21no—
468C22⋊Q8—22no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—22no—
475C22⋊Q8C22⋊D6111yescharacteristic
476#121—1221no—
477#121—1221no—
478#121C22⋊D6111yescharacteristic
479C4×Q8—22no—
480C4×Q8—22no—
481C4×Q8—21no—
482C4×Q8—21no—
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—21no—
486C4×Q8—21no—
487C4×Q8—21no—
488C4×Q8—21no—
489C4×Q8—21no—
490C4×Q8C22⋊D6111yescharacteristic
491C4×Q8C22⋊D6111yescharacteristic
492C4×Q8C22×D6111yescharacteristic
493C4×Q8C22×D6111yescharacteristic
494C4×Q8C22×D6111yescharacteristic
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—1221no—
499C4×D4—1221no—
500C4×D4C22×D6111yescharacteristic
501#117—22no—
502#117—22no—
503#117—22no—
504#117—21no—
505#117—21no—
506#117C22⋊D6112yes—
507C2×C4⋊C4—21no—
508C2×C4⋊C4C22⋊D6111yescharacteristic
509C2×C42—21no—
510C2×C42C22×D6111yescharacteristic
511#107—1221no—
512#107—1221no—
513#107—1221no—
514#106—1221no—
515C4⋊C8—611no—
516C4⋊C8—611no—
517C4⋊C8—611no—
518C4⋊C8—611no—
519C4⋊C8—1221no—
520#103—1221no—
521#103—1221no—
522#103—1221no—
523#103—1222no—
524#103—1222no—
525#102—1221no—
526#102—1222no—
527#102—1222no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532C22⋊C8—1221no—
533#97—1221no—
534C4×C8—611no—
535C4×C8—611no—
536C4×C8—1221no—
537#41—2444no—
538C2×Q8—22no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—22no—
543C2×Q8—41no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8—1221no—
547C2×Q8C2×C22⋊D6111yescharacteristic
548C2×Q8C2×C22⋊D6111yescharacteristic
549C2×Q8C2×C22⋊D6111yescharacteristic
550C2×D4—21no—
551C2×D4—1221no—
552C2×D4—1221no—
553C2×D4—1221no—
554C2×D4—2441no—
555C2×D4C2×C22⋊D6111yescharacteristic
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—2441no—
561C22×C4C2×C22⋊D6111yescharacteristic
562C22×C4C2×C22⋊D6111yescharacteristic
563C22×C4C2×C22⋊D6111yescharacteristic
564SD16—4881no—
565SD16—2442no—
566SD16—2442no—
567D8—4881no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—4881no—
575C2×C8—2442no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—1221no—
598C4⋊C4—1221no—
599C4⋊C4C2×C22⋊D6112yes—
600C4⋊C4C2×C22⋊D6112yes—
601C4⋊C4C2×C22⋊D6111yescharacteristic
602C4⋊C4C2×C22⋊D6111yescharacteristic
603C4⋊C4C2×C22⋊D6111yescharacteristic
604C4⋊C4C2×C22⋊D6111yescharacteristic
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—2441no—
615C22⋊C4—2441no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—21no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—22no—
625C42C2×C22⋊D6111yescharacteristic
626C42C2×C22⋊D6111yescharacteristic
627C42C2×C22⋊D6111yescharacteristic
628C42C23×D6111yescharacteristic
629C23—21no—
630C23—2441no—
631C23#1451974611yescharacteristic
632Q8—21no—
633Q8—21no—
634Q8—21no—
635Q8—21no—
636Q8—21no—
637Q8—42no—
638Q8—44no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8—41no—
643Q8—2442no—
644Q8#1451979712yes—
645D4—21no—
646D4—21no—
647D4—42no—
648D4—4882no—
649D4—2442no—
650D4—2441no—
651D4—2441no—
652D4—2441no—
653D4—2441no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—4882no—
674C2×C4—2441no—
675C2×C4#1451974611yescharacteristic
676C2×C4#1451974611yescharacteristic
677C2×C4#1451974611yescharacteristic
678C2×C4C22×C22⋊D6111yescharacteristic
679C2×C4C22×C22⋊D6111yescharacteristic
680C2×C4C22×C22⋊D6111yescharacteristic
681C8—2441no—
682C8—2441no—
683C8—2441no—
684C8—2441no—
685C8—2441no—
686C8—2441no—
687C22—21no—
688C22—21no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—4881no—
693C22—4881no—
694C22—4881no—
695C22#1683993512yes—
696C22C2×#1451974611yescharacteristic
697C4—21no—
698C4—21no—
699C4—21no—
700C4—21no—
701C4—22no—
702C4—41no—
703C4—42no—
704C4—41no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—42no—
709C4—41no—
710C4—4881no—
711C4C2×#1451979711yescharacteristic
712C4#1684056011yescharacteristic
713C4#1684057011yescharacteristic
714C4#1684057711yescharacteristic
715C2—22no—
716C2—81no—
717C2—9761no—
718C2#2145503711yescharacteristic
719C2#2145513411yescharacteristic
720C2C2×#1683993511yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
FittingC61×#3523C2
socleC22×C61C2×#120
prime radical#21457145C2
hypercenter#3523D61
hypocenterC61#18639
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3523

Complements

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

NH ≅ G/Ntype
2. #21456144C2semidirect
3. #21455941C2semidirect
4. #21444991C2semidirect
5. #21444984C2semidirect
6. #21444977C2semidirect
7. #21444977C2semidirect
8. #21444929C2semidirect
9. #21444922C2semidirect
10. #21444915C2semidirect
11. #21444915C2semidirect
12. #21444519C2semidirect
13. #21444279C2semidirect
14. C2×Q8⋊#92418C2semidirect
15. C61×#3523C2semidirect
355. #3523D61semidirect
431. C61#18639semidirect

Maximal subgroups

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

subgroupindex
#214571452
#214561442
#214559412
#214449912
#214449842
#214449772
#214449292
#214449222
#214449152
#214445192
#214442792
C2×Q8⋊#924182
C61×#35232
#1863961