Finite Group Databasebeta

← #30610320

Subgroups — #30610320

Order 15616.

1060 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462678C212yesmaximal, complemented
2#21461103C212yesmaximal, complemented
3#21461097C212yesmaximal, complemented
4#21461086C212yesmaximal, complemented
5#21461075C211yesmaximal, characteristic, complemented
6#21461070C211yesmaximal, characteristic, complemented
7#21461065C211yesmaximal, characteristic, complemented
8#21461055C211yesmaximal, characteristic, complemented
9#21461050C211yesmaximal, characteristic, complemented
10D61⋊#323C211yesmaximal, characteristic, complemented
11C2×#16840435C211yesmaximal, characteristic
12#16840795—22no—
13#16840794—22no—
14#16840791—22no—
15#16840789—22no—
16#16840782C2212yescomplemented
17#16840778C2212yescomplemented
18#16840733C2212yes—
19#16840732C2212yescomplemented
20D61⋊(C22⋊C8)C2212yes—
21C2×C22⋊#92420C2212yescomplemented
22#16840607C2212yescomplemented
23#16840607C2212yescomplemented
24#16840607C2212yescomplemented
25#16840607C2212yescomplemented
26#16840606C2212yes—
27#16840606C2212yes—
28#16840605C2211yescharacteristic
29#16840605C2211yescharacteristic
30#16840605C2211yescharacteristic
31#16840605C2211yescharacteristic
32#16840435—22no—
33#16840435—22no—
34#16840435—22no—
35#16840435—22no—
36C2×#14519772C411yescharacteristic
37C2×#14519772C2211yescharacteristic
38C2×#14519763C411yescharacteristic
39C2×#14519761C2211yescharacteristic
40C2×#14519759C411yescharacteristic
41C2×#14519757C2211yescharacteristic
42C2×#14519754C411yescharacteristic
43C2×#14519745C411yescharacteristic
44C2×D4×Dic61C2211yescharacteristic
45C2×#14519737C2211yescharacteristic
46C2×#14519736C2211yescharacteristic
47C2×#14519735C411yescharacteristic
48C22×#11758198C411yescharacteristic
49C2×C22⋊C4×D61C2211yescharacteristic
50C2×#123×C61C411yescharacteristic
51C2×#11758213—22no—
52C2×#11758217—22no—
53C2×D61⋊C8—22no—
54C22×#92420—22no—
55#14519844—22no—
56C4⋊#92420—22no—
57#14519834—22no—
58#14519834—22no—
59C22⋊#92420—22no—
60C22⋊#92420—22no—
61C22⋊#92420C2312yes—
62C22⋊#92420C2312yes—
63C22⋊#92420C2312yes—
64C22⋊#92420C2312yes—
65#14519832—22no—
66C4×#92420—22no—
67C24×D61C2×C411yescharacteristic
68C22×Dic122C2×C411yescharacteristic
69C22×C22⋊D61C2×C411yescharacteristic
70C22×C22⋊D61C2×C411yescharacteristic
71C23×Dic61C2×C411yescharacteristic
72C23×Dic61C2311yescharacteristic
73C22×C4×D61C2×C411yescharacteristic
74C22×C4×D61C2311yescharacteristic
75#14519772—22no—
76#14519772—22no—
77#14519772—22no—
78#14519772—22no—
79#14519763—22no—
80#14519763—22no—
81#14519761—22no—
82#14519761—22no—
83#14519759—22no—
84#14519759—22no—
85#14519757—22no—
86#14519757—22no—
87#14519754—22no—
88#14519754—22no—
89#14519745—22no—
90#14519745—22no—
91D4×Dic61—22no—
92D4×Dic61—22no—
93#14519737D412yes—
94#14519737D412yes—
95#14519737D412yes—
96#14519737D412yes—
97#14519736—22no—
98#14519736—22no—
99#14519735—21no—
100#14519735—21no—
101#14519735—21no—
102#14519735—21no—
103C2×C4⋊Dic61C2×C411yescharacteristic
104C2×C4⋊Dic61C2×C411yescharacteristic
105C2×C4⋊Dic61C2311yescharacteristic
106C2×C4⋊Dic61C2311yescharacteristic
107C2×#11758196C2×C411yescharacteristic
108C2×#11758196C2×C411yescharacteristic
109C2×C22⋊Dic61C2×C411yescharacteristic
110C2×C22⋊Dic61C2×C411yescharacteristic
111C2×C22⋊Dic61C2311yescharacteristic
112C2×#11758198—21no—
113C2×#11758198—21no—
114C2×#11758198—21no—
115C2×#11758198—21no—
116C2×#11758198C2×C411yescharacteristic
117C2×#11758198C2×C411yescharacteristic
118C2×#11758198C2×C411yescharacteristic
119C2×#11758198C2×C411yescharacteristic
120C2×#11758198C2×C411yescharacteristic
121C2×#11758198C2×C411yescharacteristic
122C2×#11758198C2×C411yescharacteristic
123C2×#11758198C2311yescharacteristic
124C22⋊C4×D61—22no—
125C22⋊C4×D61—22no—
126C2×C4×Dic61C2×C411yescharacteristic
127C2×C4×Dic61C2×C411yescharacteristic
128C2×C4×Dic61C2311yescharacteristic
129C22×D4×C61C2×C411yescharacteristic
130C23×C4×C61C2×C411yescharacteristic
131#123×C61—22no—
132#123×C61—22no—
133C2×C4⋊C4×C61C2×C411yescharacteristic
134C2×C4⋊C4×C61C2×C411yescharacteristic
135C2×C22⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61C2×C411yescharacteristic
137C2×C22⋊C4×C61C2×C411yescharacteristic
138C24×C61C22×C411yescharacteristic
139C24×C61C22×C411yescharacteristic
140C23×D61—22no—
141C23×D61—21no—
142C23×D61—21no—
143C23×D61—41no—
144C23×D61—42no—
145C23×D61—81no—
146C23×D61C22×C411yescharacteristic
147C23×D61C22×C411yescharacteristic
148C2×D4×C61—22no—
149C2×D4×C61—22no—
150C2×D4×C61—41no—
151C22×C4×C61—22no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—41no—
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C22×C411yescharacteristic
160C2×C22⋊D61—22no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61C22⋊C412yes—
164C2×C22⋊D61C22⋊C412yes—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—81no—
168C22×Dic61—81no—
169C22×Dic61C22×C411yescharacteristic
170C22×Dic61C22×C411yescharacteristic
171C22×Dic61C22×C411yescharacteristic
172C22×Dic61C22×C411yescharacteristic
173C22×Dic61C22×C411yescharacteristic
174C22×Dic61C2×D412yes—
175C22×Dic61C2×D412yes—
176C22×Dic61C2411yescharacteristic
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—42no—
180C2×C4×D61—81no—
181C2×C4×D61C2×D412yes—
182C2×C4×D61C2×D412yes—
183C2×Dic122—22no—
184C2×Dic122—81no—
185#11758217—82no—
186C2×#92420—22no—
187C2×#92420—22no—
188C2×#92420—22no—
189C2×#92420—22no—
190C2×#92420—82no—
191#11758213—82no—
192D61⋊C8—82no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—22no—
196C22⋊C4×C61—22no—
197C22⋊C4×C61—22no—
198C22⋊C4×C61C22⋊C412yes—
199C22⋊C4×C61C22⋊C412yes—
200C22⋊Dic61—22no—
201C22⋊Dic61—22no—
202C22⋊Dic61—22no—
203#11758198—21no—
204#11758198—21no—
205#11758198—21no—
206#11758198—21no—
207#11758198—22no—
208#11758198—21no—
209#11758198—21no—
210#11758198—21no—
211#11758198—21no—
212#11758198—22no—
213#11758198—22no—
214#11758198C22⋊C411yescharacteristic
215#11758198C22⋊C411yescharacteristic
216#11758198C22⋊C411yescharacteristic
217#11758198C22⋊C411yescharacteristic
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—22no—
221C4⋊Dic61—22no—
222C4⋊Dic61—22no—
223#11758196—22no—
224#11758196C22⋊C412yes—
225#11758196C22⋊C412yes—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61C2×D412yes—
231C4×Dic61C2×D412yes—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61C2×C22⋊C412yes—
241C23×C61#13112yes—
242C23×C61C23×C411yescharacteristic
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—22no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—41no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—81no—
257C22×D61—81no—
258C22×D61—84no—
259C22×D61—84no—
260C22×D61C2×C22⋊C411yescharacteristic
261C22×D61C2×C22⋊C411yescharacteristic
262D4×C61—44no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—41no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61—41no—
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C2×C22⋊C411yescharacteristic
278C2×C4×C61C2×C22⋊C412yes—
279C22⋊D61—24no—
280C22⋊D61—42no—
281C22⋊D61—82no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—42no—
286C2×Dic61—42no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—81no—
294C2×Dic61—81no—
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×C22⋊C412yes—
298C2×Dic61C22×D412yes—
299C4×D61—42no—
300C4×D61—42no—
301C4×D61—42no—
302C4×D61—42no—
303Dic122—82no—
304#92420—42no—
305#92420—42no—
306#92420—42no—
307#92420—42no—
308#17422—611nomaximal, Sylow
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61C22×C22⋊C411yescharacteristic
322C22×C61C2×#13111yescharacteristic
323C22×C61#56811yescharacteristic
324C2×D61—21no—
325C2×D61—21no—
326C2×D61—21no—
327C2×D61—21no—
328C2×D61—21no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—84no—
335C2×D61—84no—
336C2×D61—81no—
337C2×D61—81no—
338C2×D61#41312yes—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—22no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—41no—
345Dic61—22no—
346Dic61—21no—
347Dic61—21no—
348Dic61—22no—
349Dic61—41no—
350Dic61—41no—
351Dic61—41no—
352C2×#551—611no—
353#2974—612no—
354#1473—612no—
355#1472—612no—
356#1468—612no—
357#1465—611no—
358#1464—611no—
359#1462—611no—
360#1459—611no—
361#1458—611no—
362C2×#323—611no—
363C2×C61—21no—
364C2×C61—21no—
365C2×C61—42no—
366C2×C61—42no—
367C2×C61#288011yescharacteristic
368C2×C61#288311yescharacteristic
369C2×C61C2×#41311yescharacteristic
370D61—22no—
371D61—41no—
372D61—81no—
373#551—1222no—
374#551—1222no—
375#551—1222no—
376#551—1222no—
377C2×#126—611no—
378C2×#126—611no—
379C2×#124—611no—
380C2×#123—611no—
381C2×#123—611no—
382C2×#123#692311yescharacteristic
383C2×C22⋊Q8—611no—
384C2×C22⋊Q8—611no—
385C2×#120—611no—
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388C2×#117—611no—
389C2×#117—611no—
390C22×C22⋊C4—611no—
391C22×C22⋊C4—611no—
392#436—1222no—
393#435—1222no—
394#435—1222no—
395C8×D4—1222no—
396#432—612no—
397#431—612no—
398#407—612no—
399#407—612no—
400C2×C22⋊C8—612no—
401C2×C22⋊C8—612no—
402#324—612no—
403#324—612no—
404#324—612no—
405#324—612no—
406#323—611no—
407#323—611no—
408#323—611no—
409#323—611no—
410#323—612no—
411#323—612no—
412C61#1742211yescharacteristic, complemented, Sylow
413C25—611no—
414C22×Q8—611no—
415C22×D4—611no—
416C22×D4—611no—
417C22×D4C2×#692311yescharacteristic
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C23×C4C2×#692311yescharacteristic
423C2×M16—1222no—
424C2×M16—1222no—
425C22×C8—1222no—
426C22×C8—1222no—
427#126—1222no—
428#126—1222no—
429#126—1222no—
430#126—1222no—
431#124—1222no—
432#124—1222no—
433#123—22no—
434#123—22no—
435#123—1222no—
436#123—1222no—
437#123—1222no—
438#123—1222no—
439C22⋊Q8—1222no—
440C22⋊Q8—1222no—
441C22⋊Q8—1222no—
442C22⋊Q8—1222no—
443#120—1222no—
444#120—1222no—
445C4×D4—612no—
446C4×D4—612no—
447C4×D4—612no—
448C4×D4—612no—
449C4×D4—1222no—
450C4×D4—1222no—
451#117—1222no—
452#117—1222no—
453#117—1221no—
454#117—1221no—
455#117—1221no—
456#117—1221no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4C2×#692311yescharacteristic
464C2×C4⋊C4C2×#692311yescharacteristic
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—611no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—611no—
475C2×C22⋊C4—611no—
476C2×C22⋊C4—1222no—
477C2×C22⋊C4—1222no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4C2×#692311yescharacteristic
483C2×C22⋊C4C2×#692311yescharacteristic
484C2×C22⋊C4C2×#692311yescharacteristic
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C4⋊C8—1222no—
489C4⋊C8—1222no—
490C22⋊C8—612no—
491C22⋊C8—612no—
492C22⋊C8—612no—
493C22⋊C8—612no—
494C22⋊C8—1222no—
495C22⋊C8—1222no—
496C22⋊C8—1222no—
497C22⋊C8—1222no—
498#97—1222no—
499C4×C8—1222no—
500C24—611no—
501C24—611no—
502C24—1221no—
503C24—1221no—
504C24—1222no—
505C24—4881no—
506C24—2441no—
507C24—2442no—
508C24C22×#692311yescharacteristic
509C24C22×#692311yescharacteristic
510C2×Q8—1222no—
511C2×Q8—4881no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—41no—
515C2×D4—612no—
516C2×D4—612no—
517C2×D4—1222no—
518C2×D4—4881no—
519C2×D4—2442no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—41no—
524C22×C4—612no—
525C22×C4—612no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4—4881no—
541C22×C4—2442no—
542C22×C4C22×#692311yescharacteristic
543C22×C4C22×#692311yescharacteristic
544C22×C4C22×#692311yescharacteristic
545C22×C4C22×#692311yescharacteristic
546C22×C4C22×#692311yescharacteristic
547M16—4882no—
548M16—4882no—
549C2×C8—1222no—
550C2×C8—1222no—
551C2×C8—1222no—
552C2×C8—1222no—
553C2×C8—4882no—
554C2×C8—4882no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—22no—
558C4⋊C4—612no—
559C4⋊C4—612no—
560C4⋊C4—1222no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—611no—
569C22⋊C4—611no—
570C22⋊C4—611no—
571C22⋊C4—611no—
572C22⋊C4—1222no—
573C22⋊C4—1221no—
574C22⋊C4—1221no—
575C22⋊C4—1222no—
576C22⋊C4—1221no—
577C22⋊C4—1221no—
578C22⋊C4—1221no—
579C22⋊C4—1221no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1221no—
585C22⋊C4—1221no—
586C22⋊C4C22⋊#692312yes—
587C22⋊C4C22⋊#692312yes—
588C42—612no—
589C42—612no—
590C42—1221no—
591C42—1221no—
592C42—1221no—
593C42—1221no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—611no—
603C23—611no—
604C23—1222no—
605C23—1221no—
606C23—1221no—
607C23—1221no—
608C23—1221no—
609C23—1221no—
610C23—4881no—
611C23—4881no—
612C23—4884no—
613C23—4884no—
614C23—2441no—
615C23—2442no—
616C23—2442no—
617C23—2441no—
618C23—2441no—
619C23—2442no—
620C23—2442no—
621C23C2×C22⋊#692312yes—
622C23#1451986412yes—
623C23C23×#692311yescharacteristic
624Q8—4882no—
625D4—44no—
626D4—1224no—
627D4—4882no—
628D4—2442no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—612no—
643C2×C4—611no—
644C2×C4—611no—
645C2×C4—612no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—4881no—
650C2×C4—4881no—
651C2×C4—2442no—
652C2×C4—2442no—
653C2×C4—2442no—
654C2×C4—2442no—
655C2×C4—2442no—
656C2×C4—2442no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4C2×C22⋊#692311yescharacteristic
664C2×C4C2×C22⋊#692311yescharacteristic
665C2×C4C2×C22⋊#692312yes—
666C8—2442no—
667C8—2442no—
668C8—2442no—
669C8—2442no—
670C22—21no—
671C22—21no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—81no—
681C22—81no—
682C22—612no—
683C22—1221no—
684C22—1221no—
685C22—1221no—
686C22—1221no—
687C22—1221no—
688C22—4881no—
689C22—4881no—
690C22—4884no—
691C22—4884no—
692C22—2442no—
693C22—2442no—
694C22—2441no—
695C22—2441no—
696C22—2441no—
697C22C22×C22⋊#692311yescharacteristic
698C22C2×#1451986411yescharacteristic
699C22#1684084011yescharacteristic
700C4—21no—
701C4—21no—
702C4—22no—
703C4—41no—
704C4—41no—
705C4—41no—
706C4—1222no—
707C4—1221no—
708C4—1221no—
709C4—1222no—
710C4—2441no—
711C4—2441no—
712C4—2441no—
713C2—21no—
714C2—21no—
715C2—42no—
716C2—42no—
717C2—1222no—
718C2—4881no—
719C2—2441no—
720C2#2146240711yescharacteristic
721C2#2146241911yescharacteristic
722C2D61⋊#41311yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC2×#123×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC2×#14519745C4
cosocleC22×Dic61C24
hypercenterC2×#123#6923
hypocenterC61#17422
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C22⋊C4 ◁ C2×#123

Complements

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

NH ≅ G/Ntype
1. #21462678C2semidirect
2. #21461103C2semidirect
3. #21461097C2semidirect
4. #21461086C2semidirect
5. #21461075C2semidirect
6. #21461070C2semidirect
7. #21461065C2semidirect
8. #21461055C2semidirect
9. #21461050C2semidirect
10. D61⋊#323C2semidirect
16. #16840782C22semidirect
17. #16840778C22semidirect
19. #16840732C22semidirect
21. C2×C22⋊#92420C22semidirect
22. #16840607C22semidirect
23. #16840607C22semidirect
24. #16840607C22semidirect
25. #16840607C22semidirect
412. C61#17422semidirect

Maximal subgroups

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

subgroupindex
#214626782
#214611032
#214610972
#214610862
#214610752
#214610702
#214610652
#214610552
#214610502
D61⋊#3232
C2×#168404352
#1742261