Finite Group Databasebeta

← #29723900

Subgroups — #29723900

Order 15616.

986 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839922C211yesmaximal, characteristic
2C2×C4×#11758201C211yesmaximal, characteristic, complemented
3#21448650C211yesmaximal, characteristic
4#21447370C211yesmaximal, characteristic, complemented
5#21447256C211yesmaximal, characteristic, complemented
6#21447141C211yesmaximal, characteristic, complemented
7#21447019C211yesmaximal, characteristic, complemented
8#21446494C211yesmaximal, characteristic, complemented
9#21446427C211yesmaximal, characteristic, complemented
10#21446160C211yesmaximal, characteristic, complemented
11#21446156C211yesmaximal, characteristic, complemented
12#21446065C211yesmaximal, characteristic, complemented
13#21445826C211yesmaximal, characteristic, complemented
14#21445757C211yesmaximal, characteristic
15C61×#2421C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758201C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839922—24no—
22C4×#11758201—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×C22⋊#92418C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839638—21no—
40#16839638—21no—
41#16839624—21no—
42#16839622C2211yescharacteristic
43#95×D61—21no—
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×C22⋊Q8×C61C2211yescharacteristic
51C2×C4×Q8×C61C2211yescharacteristic
52C61×#400—21no—
53C61×#397—21no—
54C61×#391C2211yescharacteristic
55C61×#389C2211yescharacteristic
56C61×#388—21no—
57C61×#387—21no—
58C61×#382C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C4×C22⋊C4×C61C2211yescharacteristic
61C2×#11758222—22no—
62C2×#11758222—22no—
63C2×#11758222—22no—
64C2×#11758222—22no—
65C2×#11758222—41no—
66C2×#11758222—41no—
67C22×Dic122C2311yescharacteristic
68C22×D244C2311yescharacteristic
69C22×C22⋊D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C2×#11758202—22no—
74C2×#11758202—22no—
75C2×#11758202—41no—
76C2×#11758201—22no—
77C2×#11758201—22no—
78C2×#11758201D414yes—
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82C22×#92418C2311yescharacteristic
83C4×D244—22no—
84C4×D244—22no—
85C4×D244—41no—
86C4×D244—41no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C22⋊Dic61—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92#14519710—41no—
93#14519708—22no—
94C4⋊#92418—41no—
95#14519701—22no—
96#14519701—41no—
97#14519700—22no—
98#14519700—22no—
99#14519700—41no—
100#14519697—22no—
101#14519697—22no—
102#14519697—22no—
103C22⋊#92418—22no—
104C22⋊#92418—41no—
105C4×#92418—22no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111C22×Q8×C61C2311yescharacteristic
112C23×C4×C61C2311yescharacteristic
113C22⋊Q8×C61—22no—
114C22⋊Q8×C61—41no—
115C4×Q8×C61—22no—
116C4×Q8×C61—41no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61D411yescharacteristic
126C2×C22⋊C4×C61D411yescharacteristic
127C2×C42×C61—21no—
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61—21no—
136#95×C61D411yescharacteristic
137#95×C61D411yescharacteristic
138C24×C61C2×D411yescharacteristic
139C23×D61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61C2×D412yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2411yescharacteristic
162C2×C22⋊D61—24no—
163C2×C22⋊D61—42no—
164C2×C22⋊D61—42no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168#11758222—44no—
169#11758222—44no—
170#11758222—44no—
171#11758222—44no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244C2×D412yes—
176C2×D244#4112yes—
177C2×D244#4112yes—
178C2×C4×D61—24no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61—81no—
186C2×C4×D61—81no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122#4112yes—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—42no—
200C4⋊C4×C61—42no—
201C4⋊C4×C61—42no—
202C22⋊C4×C61—22no—
203C22⋊C4×C61—41no—
204C22⋊C4×C61—42no—
205C22⋊C4×C61—42no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—42no—
211C22⋊Dic61—81no—
212#11758202—44no—
213#11758201—28no—
214#11758198—42no—
215#11758198—42no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C2×D412yes—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61C22×D411yescharacteristic
240C22×D61—22no—
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247Q8×C61—22no—
248Q8×C61—22no—
249Q8×C61—41no—
250Q8×C61—41no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—22no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61#13512yes—
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C2×C4×C61H(5,𝔽2)11yescharacteristic
288C22⋊D61—48no—
289C2×Dic61—22no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298D244—22no—
299D244—22no—
300D244—22no—
301D244#12314yes—
302C4×D61—48no—
303C4×D61—84no—
304C4×D61—84no—
305Dic122—22no—
306Dic122—22no—
307Dic122—41no—
308Dic122—41no—
309#92418—22no—
310#92418—41no—
311#92418—41no—
312#92418—41no—
313#24903—611nomaximal, Sylow
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61#52511yescharacteristic
322C22×C61D4211yescharacteristic
323C22×C61#54611yescharacteristic
324C22×C61C2×#13511yescharacteristic
325C22×C61#57511yescharacteristic
326C22×C61#57711yescharacteristic
327C22×C61#57811yescharacteristic
328C2×D61—24no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—42no—
335C4×C61—22no—
336C4×C61—41no—
337C4×C61—42no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61C2×#12311yescharacteristic
345C4×C61#53811yescharacteristic
346C4×C61#54611yescharacteristic
347C4×C61#55111yescharacteristic
348Dic61—42no—
349Dic61—81no—
350Dic61—81no—
351C2×#452—611no—
352C2×C4×SD16—611no—
353#2421D6111yescharacteristic, complemented
354#2339—611no—
355#2097—611no—
356#2077—611no—
357#2056—611no—
358#2036—611no—
359#1933—611no—
360#1923—611no—
361#1878—611no—
362#1877—611no—
363#1862—611no—
364#1804—611no—
365#1788—611no—
366C2×C61—81no—
367C2×C61#241811yescharacteristic
368C2×C61#310211yescharacteristic
369C2×C61#312011yescharacteristic
370C2×C61#326911yescharacteristic
371C2×C61#328211yescharacteristic
372C2×C61#330211yescharacteristic
373C2×C61#332311yescharacteristic
374D61—44no—
375C22×#41—611no—
376C22×Q16—611no—
377C22×SD16—611no—
378C2×C22⋊Q8C2×D6111yescharacteristic
379C2×C4×Q8C2×D6111yescharacteristic
380C2×C4×D4—611no—
381C2×C4×D4—611no—
382#452—1224no—
383C4×SD16—1224no—
384C2×#107—611no—
385C2×#106—611no—
386C2×C4⋊C8—611no—
387C2×#103—611no—
388C2×#103—611no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#102—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×C22⋊C8—611no—
396C2×C22⋊C8—611no—
397C2×C4×C8—611no—
398#400—21no—
399#397—21no—
400#391—611no—
401#391—611no—
402#391C2×D6111yescharacteristic
403#389C2×D6111yescharacteristic
404#388—21no—
405#387—21no—
406#386—1221no—
407#386—1221no—
408#382C2×D6111yescharacteristic
409#381—1221no—
410#380—611no—
411#380C2×D6111yescharacteristic
412C4×C22⋊C4C2×D6111yescharacteristic
413C2×#95—1221no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#336—611no—
419#336—611no—
420C61#2490311yescharacteristic, complemented, Sylow
421C2×#41—1222no—
422C2×#41—1222no—
423C2×#41—1222no—
424C2×#41—1222no—
425C2×#41—2441no—
426C2×#41—2441no—
427C22×Q8—611no—
428C22×Q8C22×D6111yescharacteristic
429C22×D4—611no—
430C22×D4—1221no—
431C23×C4—1221no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4C22×D6111yescharacteristic
435C2×Q16—1222no—
436C2×Q16—1222no—
437C2×Q16—2441no—
438C2×SD16—614no—
439C2×SD16—1222no—
440C2×SD16—1222no—
441C22×C8—611no—
442C22×C8—611no—
443C22×C8—611no—
444C22×C8—611no—
445C22⋊Q8—22no—
446C22⋊Q8—41no—
447C4×Q8—22no—
448C4×Q8—41no—
449C4×D4—1222no—
450C4×D4—1222no—
451C4×D4—2441no—
452C4×D4—2441no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4C22×D6111yescharacteristic
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4C22⋊D6111yescharacteristic
467C2×C22⋊C4C22⋊D6111yescharacteristic
468C2×C42—21no—
469C2×C42C22×D6111yescharacteristic
470C2×C42C22×D6111yescharacteristic
471#107—2441no—
472#106—1222no—
473C4⋊C8—2441no—
474#103—1222no—
475#103—1222no—
476#103—1222no—
477#103—2441no—
478#103—2441no—
479#102—1222no—
480#102—1222no—
481#102—1222no—
482C22⋊C8—1222no—
483C22⋊C8—2441no—
484C4×C8—1222no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95C22⋊D6111yescharacteristic
497#95C22⋊D6111yescharacteristic
498C24—1221no—
499C24C2×C22⋊D6111yescharacteristic
500#41—2444no—
501#41—2444no—
502#41—2444no—
503#41—2444no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—612no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8D4×D6112yes—
516C2×D4—612no—
517C2×D4—612no—
518C2×D4—612no—
519C2×D4—1224no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4—2442no—
524C2×D4—2442no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—1224no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—4881no—
540C22×C4—4881no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4—2442no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C2×C22⋊D6111yescharacteristic
551C22×C4C2×C22⋊D6111yescharacteristic
552C22×C4C23×D6111yescharacteristic
553Q16—2444no—
554SD16—1228no—
555C2×C8—612no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C22⋊C4—22no—
581C22⋊C4—41no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—4881no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—42no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—1222no—
600C23—1222no—
601C23—1222no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23—2441no—
606C23C22×C22⋊D6111yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—1222no—
612Q8—1222no—
613Q8—2441no—
614Q8—2441no—
615D4—614no—
616D4—1222no—
617D4—1222no—
618D4—1222no—
619D4—2448no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—1222no—
651C2×C4—4884no—
652C2×C4—4884no—
653C2×C4—2448no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4#1451979712yes—
663C2×C4C2×D4×D6111yescharacteristic
664C2×C4#41×D6111yescharacteristic
665C2×C4#41×D6111yescharacteristic
666C2×C4#41×D6111yescharacteristic
667C2×C4#1451982211yescharacteristic
668C2×C4#1451982311yescharacteristic
669C8—1222no—
670C8—2441no—
671C8—2441no—
672C8—2441no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—1224no—
681C22—2442no—
682C22—2442no—
683C22—2442no—
684C22—2442no—
685C22—2442no—
686C22—2442no—
687C22#1684026911yescharacteristic
688C22D4×C22⋊D6111yescharacteristic
689C22#1684040011yescharacteristic
690C22C2×#1451979711yescharacteristic
691C22#1684056011yescharacteristic
692C22#1684057011yescharacteristic
693C22#1684057711yescharacteristic
694C4—22no—
695C4—41no—
696C4—42no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—4881no—
704C4—4881no—
705C4—2442no—
706C4#123×D6111yescharacteristic
707C4#1684034811yescharacteristic
708C4#1684040411yescharacteristic
709C4#1684044011yescharacteristic
710C2—81no—
711C2—2444no—
712C2#2144927811yescharacteristic
713C2#2145583111yescharacteristic
714C2#2145602711yescharacteristic
715C2#2145737511yescharacteristic
716C2#2145752711yescharacteristic
717C2#2145773011yescharacteristic
718C2#2145802911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2421C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
hypercenter#2421D61
hypocenterC61#24903
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2421

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758201C2semidirect
4. #21447370C2semidirect
5. #21447256C2semidirect
6. #21447141C2semidirect
7. #21447019C2semidirect
8. #21446494C2semidirect
9. #21446427C2semidirect
10. #21446160C2semidirect
11. #21446156C2semidirect
12. #21446065C2semidirect
13. #21445826C2semidirect
15. C61×#2421C2semidirect
353. #2421D61semidirect
420. C61#24903semidirect

Maximal subgroups

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

subgroupindex
C2×#168399222
C2×C4×#117582012
#214486502
#214473702
#214472562
#214471412
#214470192
#214464942
#214464272
#214461602
#214461562
#214460652
#214458262
#214457572
C61×#24212
#2490361