Finite Group Databasebeta

← #30603022

Subgroups — #30603022

Order 15616.

982 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840752C211yesmaximal, characteristic
2D61⋊#408C211yesmaximal, characteristic
3C2×#16840728C211yesmaximal, characteristic, complemented
4C2×#16840637C211yesmaximal, characteristic, complemented
5C2×#16840633C211yesmaximal, characteristic, complemented
6#21461480C211yesmaximal, characteristic, complemented
7C2×#104×D61C211yesmaximal, characteristic
8C2×D61⋊M16C2211yescharacteristic
9C22×D61⋊C8C2211yescharacteristic
10C22×D61⋊C8C2211yescharacteristic
11C2×#14519856C2211yescharacteristic
12#16840752—22no—
13#16840752—22no—
14C2×#14519840C412yescomplemented
15C2×#14519839C412yescomplemented
16#16840737C412yescomplemented
17#16840736C412yescomplemented
18#16840735—22no—
19D61⋊(C22⋊C8)—21no—
20D61⋊(C22⋊C8)—21no—
21#16840728—22no—
22#16840728—22no—
23C2×#14519831—21no—
24C2×C8×#6923—21no—
25#16840637—22no—
26#16840633—22no—
27#16840628—22no—
28C2×#41×D61C2211yescharacteristic
29C2×M16×D61C2211yescharacteristic
30C2×C42×D61C2211yescharacteristic
31C2×#14519705C411yescharacteristic, complemented
32C2×#14519704C411yescharacteristic, complemented
33C2×#14519703C411yescharacteristic, complemented
34#104×D61—22no—
35#104×D61—22no—
36C2×#104×C61C411yescharacteristic, complemented
37C2×#11758213C2×C412yes—
38D61⋊M16—21no—
39D61⋊M16—21no—
40D61⋊M16—21no—
41D61⋊M16—21no—
42C2×#11758217—21no—
43C2×D61⋊C8—21no—
44C2×D61⋊C8—21no—
45C2×D61⋊C8—21no—
46C2×D61⋊C8—21no—
47C2×D61⋊C8—21no—
48C2×D61⋊C8—21no—
49C2×D61⋊C8—21no—
50C2×D61⋊C8—21no—
51C2×D61⋊C8—21no—
52C2×D61⋊C8—21no—
53C2×D61⋊C8C2×C412yes—
54C2×D61⋊C8C2×C412yes—
55C2×D61⋊C8D411yescharacteristic
56C2×D61⋊C8D411yescharacteristic
57C22×#92420—21no—
58C22×#92420D412yes—
59#14519856—21no—
60#14519856—21no—
61#14519856D412yes—
62#14519856D412yes—
63C2×C4⋊#6923C2×C412yes—
64C2×C22⋊#6923—21no—
65C2×C4×#6923—21no—
66#14519840—24no—
67#14519839—24no—
68#14519834—22no—
69#14519834—22no—
70C22⋊#92420—22no—
71C22⋊#92420—22no—
72#14519831—24no—
73C8×#6923—24no—
74C2×#11758226C2×C411yescharacteristic
75C2×#11758222—21no—
76C2×#11758222C2×C411yescharacteristic
77C2×#11758224—21no—
78C2×#11758224C2×C411yescharacteristic
79#41×D61—21no—
80#41×D61—21no—
81#41×D61—21no—
82#41×D61—21no—
83#41×D61—21no—
84#41×D61—21no—
85#41×D61—21no—
86#41×D61—21no—
87C2×Q8×D61C2×C411yescharacteristic
88C2×D4×D61—21no—
89C2×D4×D61C2×C411yescharacteristic
90C22×C4×D61—21no—
91C22×C4×D61—21no—
92C22×C4×D61C2311yescharacteristic
93C2×#11758194C2×C411yescharacteristic
94C2×#11758189—21no—
95M16×D61—21no—
96M16×D61—21no—
97M16×D61D412yes—
98M16×D61D412yes—
99C2×C8×D61—21no—
100C2×C4×Dic61—21no—
101C2×C4×Dic61C2×C411yescharacteristic
102C42×D61—21no—
103C42×D61—21no—
104C42×D61—21no—
105C42×D61—21no—
106#14519705—22no—
107#14519704—22no—
108#14519703—22no—
109C2×#41×C61C2×C411yescharacteristic
110C2×M16×C61C2×C411yescharacteristic
111C2×C42×C61C2×C411yescharacteristic
112#104×C61—22no—
113C23×D61—21no—
114C23×D61#4111yescharacteristic
115C22×#6923—22no—
116#41×C61—21no—
117#41×C61—21no—
118#41×C61—21no—
119#41×C61—21no—
120C2×Q8×C61C4211yescharacteristic
121C2×D4×C61—21no—
122C2×D4×C61C4211yescharacteristic
123C22×C4×C61—21no—
124C22×C4×C61—21no—
125C22×C4×C61C22×C411yescharacteristic
126C2×C22⋊D61—21no—
127C2×C22⋊D61—21no—
128C2×C22⋊D61—21no—
129C22×Dic61—21no—
130C22×Dic61—21no—
131C22×Dic61C2×D411yescharacteristic
132#11758226—21no—
133#11758226—21no—
134#11758226—21no—
135#11758226—21no—
136Q8×D61—21no—
137Q8×D61—21no—
138Q8×D61—21no—
139Q8×D61—21no—
140#11758224—21no—
141#11758224—21no—
142#11758224—21no—
143#11758224—21no—
144#11758224—41no—
145#11758224—41no—
146#11758224—41no—
147#11758224—41no—
148D4×D61—21no—
149D4×D61—21no—
150D4×D61—21no—
151D4×D61—21no—
152D4×D61—41no—
153D4×D61—41no—
154D4×D61—41no—
155D4×D61—41no—
156#11758222—21no—
157#11758222—21no—
158#11758222—21no—
159#11758222—21no—
160#11758222—41no—
161#11758222—41no—
162#11758222—41no—
163#11758222—41no—
164C2×D244—21no—
165C2×D244C4211yescharacteristic
166C2×C4×D61—24no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—42no—
171C2×C4×D61—41no—
172C2×C4×D61—41no—
173C2×C4×D61—41no—
174C2×C4×D61—41no—
175C2×C4×D61—41no—
176C2×C4×D61—41no—
177C2×C4×D61C22×C411yescharacteristic
178C2×C4×D61C22×C411yescharacteristic
179C2×C4×D61C2×D411yescharacteristic
180C2×C4×D61C2×D411yescharacteristic
181C2×C4×D61C2×D411yescharacteristic
182C2×C4×D61C2×D411yescharacteristic
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61#4111yescharacteristic
185C2×C4×D61#4111yescharacteristic
186C2×C4×D61#4111yescharacteristic
187C2×C4×D61#4111yescharacteristic
188C2×C4×D61#4111yescharacteristic
189C2×Dic122—21no—
190C2×Dic122C4211yescharacteristic
191C22⋊#6923—22no—
192C22⋊#6923—22no—
193#11758217—41no—
194#11758217—41no—
195C2×#92420—22no—
196C2×#92420—22no—
197C2×#92420—22no—
198C2×#92420—22no—
199C2×#92420—41no—
200C2×#92420—41no—
201C2×#92420C22⋊C412yes—
202C2×#92420C22⋊C412yes—
203C4⋊#6923—22no—
204C4⋊#6923C22⋊C414yes—
205C4×#6923—22no—
206C4×#6923—22no—
207#11758213—22no—
208#11758213—22no—
209D61⋊C8—22no—
210D61⋊C8—22no—
211D61⋊C8—21no—
212D61⋊C8—21no—
213D61⋊C8—21no—
214D61⋊C8—21no—
215D61⋊C8—22no—
216D61⋊C8—22no—
217D61⋊C8—41no—
218D61⋊C8—41no—
219D61⋊C8—41no—
220D61⋊C8—41no—
221M16×C61—21no—
222M16×C61C22⋊C412yes—
223C2×C8×C61—21no—
224C42×C61—21no—
225C42×C61—21no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—41no—
229C4×Dic61—41no—
230#11758194—21no—
231#11758194C22⋊C412yes—
232C2×#92418—21no—
233#11758189—22no—
234#11758189—22no—
235C8×D61—22no—
236C8×D61—22no—
237C23×C61—21no—
238C23×C61C4×D411yescharacteristic
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—21no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61#11711yescharacteristic
247C22×D61C4×D411yescharacteristic
248C22×D61#12111yescharacteristic
249C22×D61#12311yescharacteristic
250C22×D61#12411yescharacteristic
251C22×D61#12611yescharacteristic
252C2×#6923—24no—
253C2×#6923—42no—
254C2×#6923—42no—
255Q8×C61—21no—
256Q8×C61—21no—
257D4×C61—21no—
258D4×C61—21no—
259D4×C61—41no—
260D4×C61—41no—
261C2×C4×C61—22no—
262C2×C4×C61—21no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61C2×C4211yescharacteristic
268C2×C4×C61C2×C22⋊C411yescharacteristic
269C2×C4×C61#11711yescharacteristic
270C2×C4×C61C4×D411yescharacteristic
271C2×C4×C61C4×D411yescharacteristic
272C2×C4×C61C4×D411yescharacteristic
273C22⋊D61—41no—
274C22⋊D61—41no—
275C22⋊D61—41no—
276C22⋊D61—41no—
277C22⋊D61—41no—
278C22⋊D61—41no—
279C2×Dic61—22no—
280C2×Dic61—21no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61C2×C22⋊C411yescharacteristic
286C2×Dic61C4×D411yescharacteristic
287C2×Dic61#12111yescharacteristic
288C2×Dic61#12111yescharacteristic
289C2×Dic61#12411yescharacteristic
290C2×Dic61#12711yescharacteristic
291D244—21no—
292D244—21no—
293D244—41no—
294D244—41no—
295C4×D61—44no—
296C4×D61—44no—
297C4×D61—41no—
298C4×D61—41no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61C2×C22⋊C411yescharacteristic
304C4×D61#11711yescharacteristic
305C4×D61C4×D411yescharacteristic
306C4×D61C4×D411yescharacteristic
307C4×D61C4×D411yescharacteristic
308C4×D61C4×D411yescharacteristic
309C4×D61C4×D411yescharacteristic
310C4×D61C4×D411yescharacteristic
311C4×D61#12011yescharacteristic
312C4×D61#12111yescharacteristic
313C4×D61#12111yescharacteristic
314C4×D61#12111yescharacteristic
315C4×D61#12311yescharacteristic
316C4×D61#12311yescharacteristic
317C4×D61#12411yescharacteristic
318C4×D61#12611yescharacteristic
319Dic122—21no—
320Dic122—21no—
321Dic122—41no—
322Dic122—41no—
323#92420—22no—
324#92420—22no—
325#92420—42no—
326#92420—42no—
327C8×C61—22no—
328#92418—22no—
329#10934—611nomaximal, Sylow
330C22×C61—21no—
331C22×C61—21no—
332C22×C61—41no—
333C22×C61—41no—
334C22×C61—41no—
335C22×C61C4×C22⋊C411yescharacteristic
336C22×C61#38811yescharacteristic
337C22×C61#39011yescharacteristic
338C2×D61—21no—
339C2×D61—21no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—22no—
343C2×D61—22no—
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—82no—
348C2×D61—82no—
349C2×D61#38611yescharacteristic
350C2×D61#38811yescharacteristic
351C2×D61#38811yescharacteristic
352C2×D61#38811yescharacteristic
353C2×D61#44312yes—
354C2×D61#44412yes—
355#6923—44no—
356C4×C61—42no—
357C4×C61—41no—
358C4×C61C4×C22⋊C411yescharacteristic
359C4×C61C4×C22⋊C411yescharacteristic
360C4×C61#38611yescharacteristic
361C4×C61#38811yescharacteristic
362Dic61—42no—
363Dic61—41no—
364Dic61#38611yescharacteristic
365Dic61#38811yescharacteristic
366Dic61#39011yescharacteristic
367Dic61#39011yescharacteristic
368C22×#104—611no—
369C2×#416—611no—
370C2×#408—611no—
371C2×#405—611no—
372C2×#341—611no—
373C2×#339—611no—
374C2×#336—611no—
375C2×C61—21no—
376C2×C61—21no—
377C2×C61—81no—
378C2×C61#143711yescharacteristic
379C2×C61#176411yescharacteristic
380C2×C61#176511yescharacteristic
381D61—21no—
382D61—21no—
383D61—81no—
384D61#187612yes—
385D61#192912yes—
386C22×#41—611no—
387C22×M16—611no—
388C22×M16—611no—
389C23×C8—611no—
390C23×C8—611no—
391C2×#117—611no—
392C22×C42—611no—
393C2×#104—611no—
394C2×#104—611no—
395C2×#104—611no—
396C2×#104—1222no—
397C2×#104—1222no—
398C2×#104#692311yescharacteristic, complemented
399#416—1222no—
400#416—1222no—
401C2×#103—612no—
402C2×#102—612no—
403#408—612no—
404#408—612no—
405#408—1222no—
406C2×C22⋊C8—1221no—
407C2×C22⋊C8—1221no—
408#405—1222no—
409#405—1222no—
410C2×#97—1221no—
411C2×C4×C8—1221no—
412#341—1222no—
413#339—1222no—
414#336—1222no—
415C61#1093411yescharacteristic, complemented, Sylow
416C2×#41—611no—
417C2×#41—611no—
418C2×#41—611no—
419C2×#41—1221no—
420C2×#41—1221no—
421C2×#41—1221no—
422C2×#41—1221no—
423C2×#41—1221no—
424C2×#41—1221no—
425C2×#41—1221no—
426C2×#41—1221no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41C2×#692311yescharacteristic
430C22×Q8—611no—
431C22×D4—611no—
432C22×D4—1221no—
433C23×C4—611no—
434C23×C4—1221no—
435C23×C4—1221no—
436C2×M16—611no—
437C2×M16—612no—
438C2×M16—612no—
439C2×M16—612no—
440C2×M16—1221no—
441C2×M16—1221no—
442C2×M16—1221no—
443C2×M16—1221no—
444C2×M16—1221no—
445C2×M16—1221no—
446C2×M16—1221no—
447C2×M16—1221no—
448C2×M16C2×#692311yescharacteristic
449C22×C8—612no—
450C22×C8—612no—
451C22×C8—611no—
452C22×C8—611no—
453C22×C8—612no—
454C22×C8—1221no—
455C22×C8—1221no—
456C22×C8—1221no—
457C22×C8—1221no—
458C22×C8—1221no—
459C22×C8—1221no—
460C22×C8—1221no—
461C22×C8—1221no—
462C22×C8—1221no—
463C22×C8—1221no—
464C22×C8—1221no—
465C22×C8—1221no—
466#117—612no—
467#117—612no—
468#117—1221no—
469#117—1221no—
470C2×C4⋊C4—612no—
471C2×C22⋊C4—1221no—
472C2×C42—611no—
473C2×C42—1221no—
474C2×C42—1221no—
475C2×C42—1221no—
476C2×C42—1221no—
477C2×C42—1221no—
478C2×C42—1221no—
479C2×C42C2×#692311yescharacteristic
480#104—22no—
481#104—1222no—
482#104—1222no—
483#104—1222no—
484#103—1224no—
485#102—1224no—
486C22⋊C8—1222no—
487C22⋊C8—1222no—
488C22⋊C8—1222no—
489C22⋊C8—1222no—
490#97—1224no—
491C4×C8—1224no—
492C24—611no—
493C24—1221no—
494#41—21no—
495#41—21no—
496#41—21no—
497#41—21no—
498#41—1221no—
499#41—1221no—
500#41—1221no—
501#41—1221no—
502#41—1221no—
503#41—1221no—
504#41—1221no—
505#41—1221no—
506#41—1221no—
507#41—1221no—
508#41—1221no—
509#41—1221no—
510#41—2441no—
511#41—2441no—
512#41—2441no—
513#41—2441no—
514#41—2441no—
515#41—2441no—
516#41—2441no—
517#41—2441no—
518C2×Q8—611no—
519C2×Q8—1221no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8—1221no—
524C2×Q8C4×#692311yescharacteristic
525C2×D4—21no—
526C2×D4—611no—
527C2×D4—1221no—
528C2×D4—1221no—
529C2×D4—1221no—
530C2×D4—1221no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—2441no—
536C2×D4—2441no—
537C2×D4—2441no—
538C2×D4—2441no—
539C2×D4C4×#692311yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1224no—
558C22×C4—1221no—
559C22×C4—1222no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—2441no—
563C22×C4—2441no—
564C22×C4—2441no—
565C22×C4—2441no—
566C22×C4—2441no—
567C22×C4—2441no—
568C22×C4—2442no—
569C22×C4C22×#692311yescharacteristic
570M16—21no—
571M16—612no—
572M16—1222no—
573M16—1222no—
574M16—1221no—
575M16—1222no—
576M16—1222no—
577M16—2441no—
578M16—2441no—
579M16C22⋊#692312yes—
580C2×C8—21no—
581C2×C8—612no—
582C2×C8—612no—
583C2×C8—1222no—
584C2×C8—1222no—
585C2×C8—1221no—
586C2×C8—1221no—
587C2×C8—1221no—
588C2×C8—1221no—
589C2×C8—1222no—
590C2×C8—1222no—
591C2×C8—1222no—
592C2×C8—1222no—
593C2×C8—1221no—
594C2×C8—1222no—
595C2×C8—1222no—
596C2×C8—1222no—
597C2×C8—1222no—
598C2×C8—2441no—
599C2×C8—2441no—
600C2×C8—2441no—
601C2×C8—2441no—
602C2×C8—2441no—
603C2×C8—2441no—
604C4⋊C4—614no—
605C4⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1222no—
608C42—21no—
609C42—21no—
610C42—1222no—
611C42—1222no—
612C42—1221no—
613C42—1221no—
614C42—2441no—
615C42—2441no—
616C23—21no—
617C23—611no—
618C23—611no—
619C23—611no—
620C23—611no—
621C23—611no—
622C23—611no—
623C23—1222no—
624C23—1222no—
625C23—1221no—
626C23—2441no—
627C23—2441no—
628C23—2442no—
629C23—2442no—
630C23D4×#692311yescharacteristic
631Q8—21no—
632Q8—21no—
633Q8—1221no—
634Q8—1221no—
635Q8—2441no—
636Q8—2441no—
637D4—21no—
638D4—21no—
639D4—41no—
640D4—41no—
641D4—1221no—
642D4—1221no—
643D4—2441no—
644D4—2441no—
645D4—2441no—
646D4—2441no—
647D4—2441no—
648D4—2441no—
649D4—2441no—
650D4—2441no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—611no—
660C2×C4—611no—
661C2×C4—611no—
662C2×C4—611no—
663C2×C4—611no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—1222no—
680C2×C4—1224no—
681C2×C4—1221no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2444no—
687C2×C4—2444no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2442no—
692C2×C4—2442no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4C2×C4×#692311yescharacteristic
697C2×C4C2×C22⋊#692311yescharacteristic
698C2×C4#1451985611yescharacteristic
699C2×C4D4×#692311yescharacteristic
700C2×C4D4×#692311yescharacteristic
701C2×C4D4×#692311yescharacteristic
702C8—22no—
703C8—1222no—
704C8—1222no—
705C8—1222no—
706C8—2442no—
707C8—2442no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—611no—
714C22—611no—
715C22—612no—
716C22—612no—
717C22—611no—
718C22—611no—
719C22—1222no—
720C22—1222no—
721C22—1222no—
722C22—1222no—
723C22—1221no—
724C22—1221no—
725C22—4882no—
726C22—4882no—
727C22—2441no—
728C22—2441no—
729C22—2441no—
730C22C22⋊C4×#692311yescharacteristic
731C22#1684071211yescharacteristic
732C22#1684071411yescharacteristic
733C4—42no—
734C4—41no—
735C4—611no—
736C4—611no—
737C4—611no—
738C4—611no—
739C4—2442no—
740C4—2444no—
741C4—2441no—
742C4C4×C22⋊#692311yescharacteristic
743C4C22⋊C4×#692311yescharacteristic
744C4#1684071011yescharacteristic
745C4#1684071211yescharacteristic
746C2—21no—
747C2—21no—
748C2—81no—
749C2—612no—
750C2—612no—
751C2—1221no—
752C2—1221no—
753C2—4881no—
754C2#2146100011yescharacteristic
755C2#2146159511yescharacteristic
756C2#2146159911yescharacteristic
subgroupG/H
centerC2×C4D4×#6923
commutatorC2×C4×C61C2×C42
FrattiniC22×C4C22×#6923
FittingC2×#104×C61C4
socleC22×C61C4×C22⋊C4
prime radicalC2×#41×D61C22
cosocleC22×C4×D61C23
hypercenterC2×#104#6923
hypocenterC61#10934
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#104

Complements

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

NH ≅ G/Ntype
3. C2×#16840728C2semidirect
4. C2×#16840637C2semidirect
5. C2×#16840633C2semidirect
6. #21461480C2semidirect
14. C2×#14519840C4semidirect
15. C2×#14519839C4semidirect
16. #16840737C4semidirect
17. #16840736C4semidirect
31. C2×#14519705C4semidirect
32. C2×#14519704C4semidirect
33. C2×#14519703C4semidirect
36. C2×#104×C61C4semidirect
398. C2×#104#6923semidirect
415. C61#10934semidirect

Maximal subgroups

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

subgroupindex
C2×#168407522
D61⋊#4082
C2×#168407282
C2×#168406372
C2×#168406332
#214614802
C2×#104×D612
#1093461