Finite Group Databasebeta

← #14484808

Subgroups — #14484808

Order 1920.

2224 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41×Dic15C211yesmaximal, characteristic, complemented
2C5×#5831C211yesmaximal, characteristic, complemented
3C3×#66168C211yesmaximal, characteristic, complemented
4#11755267C211yesmaximal, characteristic, complemented
5#11755247C211yesmaximal, characteristic, complemented
6Dic3×#713C211yesmaximal, characteristic, complemented
7D3×Q8×Dic5C211yesmaximal, characteristic, complemented
8#11754969C213yesmaximal, complemented
9#11754862C213yesmaximal, complemented
10#11754834C213yesmaximal, complemented
11#11754771C213yesmaximal, complemented
12#11754451C213yesmaximal, complemented
13#11754427C213yesmaximal, complemented
14C4×#6780C213yesmaximal, complemented
15#11754231C213yesmaximal, complemented
16#10618612—31nomaximal, Hall
17C2×C3×C5×#41C2211yescharacteristic
18C2×C5×D3×Q8C2211yescharacteristic
19C2×C3×#713C2211yescharacteristic
20C2×#6780C2213yes—
21Q8×Dic15C2211yescharacteristic
22Q8×Dic15C2211yescharacteristic
23D4×Dic15C2213yes—
24D4×Dic15C2213yes—
25#91815C2213yes—
26C2×C4×Dic15C2213yes—
27C5×Q8×Dic3C2211yescharacteristic
28C5×#938C2213yes—
29C5×#936C2213yes—
30C4×C5×#67C2213yes—
31C5×#924C2213yes—
32C3×Q8×Dic5C2211yescharacteristic
33C3×#4086C2213yes—
34C3×#4084C2213yes—
35C3×#4076C2213yes—
36C3×C4×C22⋊D5C2213yes—
37#91565C2216yes—
38#67⋊Dic5C2213yes—
39#91559C2216yes—
40#91559C2213yes—
41#91548C2216yes—
42#91537C2216yes—
43#91534C2216yes—
44#91532C2213yes—
45#91531C2216yes—
46#91468C2213yes—
47C4×#1204C2213yes—
48#91456C2213yes—
49#91442C2213yes—
50C4×#1201C2213yes—
51#91434C2213yes—
52D3×C4⋊Dic5C2213yes—
53Dic3×D20C2213yes—
54#91400C2211yescharacteristic
55C4×D3×Dic5C2213yes—
56#91394C2213yes—
57C4×D5×Dic3C2213yes—
58#91384C2213yes—
59#91381C2213yes—
60#91368C2213yes—
61#91366C2216yes—
62#91359C2213yes—
63#91358C2213yes—
64#91344C2213yes—
65Dic5×Dic6C2213yes—
66#91325C2213yes—
67#86767—51nomaximal, Hall
68C5×#548—31no—
69#66168D311yescharacteristic, complemented
70#41×Dic5—31no—
71#66151—31no—
72C2×Q8×Dic5—31no—
73#66015—33no—
74#66014—33no—
75#65975—33no—
76#65958—33no—
77#65952—33no—
78#65930—33no—
79C4×#713—31no—
80#65903—31no—
81#65899—33no—
82C4×#711—33no—
83C3×C5×#41—24no—
84C2×C3×C5×Q8C2311yescharacteristic
85C2×C3×C5×D4C2313yes—
86C22×C3×C4×C5C2313yes—
87C22×Dic15C2313yes—
88C22×Dic15C2313yes—
89C2×C5×#67C2313yes—
90C5×D3×Q8—24no—
91C2×C4×C5×D3C2313yes—
92C2×C5×Dic6C2313yes—
93C2×C3×C22⋊D5C2313yes—
94C2×C3×C22⋊D5C2316yes—
95C3×#713—24no—
96C2×C3×D20C2313yes—
97C2×C3×C4×D5C2313yes—
98C2×#1204C2313yes—
99C2×#1201C2313yes—
100C2×D3×Dic5C2313yes—
101C2×D3×Dic5C2311yescharacteristic
102#6780—212no—
103C2×D5×Dic3C2313yes—
104C2×D5×Dic3C2313yes—
105#6719C2316yes—
106C4⋊Dic15C2313yes—
107C4⋊Dic15C2313yes—
108C4×Dic15C2311yescharacteristic
109C4×Dic15C2313yes—
110C4×Dic15C2313yes—
111C4×Dic15C2313yes—
112C5×#217C2316yes—
113C5×#217C2313yes—
114C5×(C2×D3)⋊C4C2311yescharacteristic
115C5×C4⋊Dic3C2313yes—
116C5×Dic3⋊C4C2313yes—
117C4×C5×Dic3C2313yes—
118C3×C22⋊Dic5C2313yes—
119C3×#685C2313yes—
120C3×C4⋊Dic5C2313yes—
121C3×#683C2311yescharacteristic
122C3×C4×Dic5C2313yes—
123Dic3⋊Dic5C2313yes—
124Dic3⋊Dic5C2316yes—
125#6669C2313yes—
126#6669C2313yes—
127#6668C2311yescharacteristic
128#6668C2316yes—
129(C2×D3)⋊Dic5C2311yescharacteristic
130#6665C2313yes—
131#6665C2316yes—
132#6665C2316yes—
133Dic3×Dic5C2313yes—
134Dic3×Dic5C2313yes—
135Dic3×Dic5C2311yescharacteristic
136Dic3×Dic5C2313yes—
137C3×#550—51no—
138#5831—51no—
139#5831D511yescharacteristic, complemented
140Dic3×#41—51no—
141Dic3×#41—51no—
142#5716—53no—
143#5713—53no—
144#5614—53no—
145#5614—53no—
146#5600—53no—
147#5600—53no—
148C4×D3×Q8—51no—
149#5570—51no—
150#5542—53no—
151C4×#237—53no—
152C2×C5×#41C2×D311yescharacteristic
153C22×C5×Q8—31no—
154C2×#713C2×D311yescharacteristic
155C2×#711—33no—
156C5×#124—33no—
157C5×C22⋊Q8—33no—
158C5×#121—33no—
159C4×C5×Q8—31no—
160C4×C5×D4—33no—
161#4093—33no—
162#4092—33no—
163Q8×Dic5—31no—
164Q8×Dic5—31no—
165Q8×Dic5—33no—
166Q8×Dic5—33no—
167Q8×Dic5C2×D311yescharacteristic
168#4086C2×D313yes—
169#4085—36no—
170#4084C2×D313yes—
171D4×Dic5—33no—
172D4×Dic5—33no—
173D4×Dic5—33no—
174#4076—33no—
175#4076C2×D313yes—
176C4×C22⋊D5—33no—
177C4×C22⋊D5C2×D313yes—
178#4072—33no—
179C2×C4⋊Dic5—33no—
180C2×C4×Dic5—33no—
181C2×C4×Dic5—33no—
182#4044—36no—
183#4039—33no—
184#4038—33no—
185#4038—33no—
186#4036—33no—
187#4034—33no—
188#4033—33no—
189#4032—36no—
190#4031—36no—
191#4029—36no—
192#4027—33no—
193#4027—36no—
194#4027—33no—
195#4025—36no—
196#4023—33no—
197#4023—31no—
198C4×D20—33no—
199C42×D5—33no—
200#4016—33no—
201C4×Dic10—33no—
202#3480—151noSylow
203C23×C3×C5C2413yes—
204C22×C5×D3C2411yescharacteristic
205C22×C3×D5C2413yes—
206C3×C5×Q8#4114yescomplemented
207C3×C5×D4—26no—
208C2×C3×C4×C5—26no—
209C2×C3×C4×C5C2411yescharacteristic
210C2×C3×C4×C5C2413yes—
211C2×Dic15—26no—
212C2×Dic15—43no—
213C2×Dic15C2413yes—
214C2×Dic15C2411yescharacteristic
215C2×Dic15C2413yes—
216C2×Dic15C2411yescharacteristic
217C5×#67—26no—
218C2×C5×Dic3C2413yes—
219C2×C5×Dic3C2413yes—
220C2×C5×Dic3C2411yescharacteristic
221C4×C5×D3—26no—
222C5×Dic6—26no—
223C3×C22⋊D5—26no—
224C3×C22⋊D5—46no—
225C2×C3×Dic5C2411yescharacteristic
226C2×C3×Dic5C2413yes—
227C2×C3×Dic5C2411yescharacteristic
228C3×D20—26no—
229C3×C4×D5—26no—
230#1204—26no—
231#1201—26no—
232D3×Dic5—43no—
233D3×Dic5#4114yescomplemented
234D5×Dic3—26no—
235D5×Dic3—43no—
236C2×C3×#41—51no—
237C2×C3×#41C2×D511yescharacteristic
238C2×D3×Q8C2×D511yescharacteristic
239C2×#237—53no—
240C3×#127—53no—
241C3×#121—53no—
242C3×#121—53no—
243C3×C4×Q8—51no—
244C3×C4×D4—53no—
245Q8×Dic3—51no—
246Q8×Dic3—51no—
247Q8×Dic3C2×D511yescharacteristic
248#938—56no—
249#938—53no—
250#938C2×D513yes—
251#936—53no—
252#936—56no—
253#936C2×D513yes—
254#935—56no—
255#935—56no—
256D4×Dic3—53no—
257D4×Dic3—53no—
258D4×Dic3—53no—
259D4×Dic3—56no—
260D4×Dic3—53no—
261D4×Dic3—53no—
262C4×#67—53no—
263C4×#67C2×D513yes—
264#926—53no—
265#926—53no—
266#924—53no—
267#924C2×D513yes—
268C2×C4×Dic3—53no—
269C2×C4×Dic3—53no—
270#892—51no—
271D3×C4⋊C4—53no—
272#890—53no—
273#890—53no—
274#887—53no—
275#887—53no—
276#67⋊C4—53no—
277#67⋊C4—53no—
278#879—56no—
279#879—56no—
280#877—53no—
281#877—53no—
282C42×D3—53no—
283#869—53no—
284C4×Dic6—53no—
285C4×Dic6—53no—
286C5×#41—24no—
287C2×C5×Q8—33no—
288C2×C5×Q8—64no—
289C2×C5×Q8C22×D311yescharacteristic
290C2×C5×D4—33no—
291C2×C5×D4C22×D313yes—
292C22×C4×C5—33no—
293C22×C4×C5C22×D313yes—
294C2×C22⋊D5—33no—
295C2×C22⋊D5C22×D313yes—
296C2×C22⋊D5C22×D316yes—
297C22×Dic5—31no—
298C22×Dic5—33no—
299C22×Dic5—33no—
300C22×Dic5—33no—
301#713—24no—
302#711—612no—
303C2×D20C22×D313yes—
304C2×C4×D5—33no—
305C2×C4×D5—33no—
306C2×C4×D5C22×D313yes—
307C2×Dic10—33no—
308C5×C4⋊C4—33no—
309C5×C4⋊C4—33no—
310C5×C22⋊C4—33no—
311C5×C22⋊C4—36no—
312C5×C22⋊C4—31no—
313C42×C5—33no—
314C22⋊Dic5—36no—
315C22⋊Dic5—31no—
316C22⋊Dic5C22×D313yes—
317#685—36no—
318#685—36no—
319#685—33no—
320#685C22×D313yes—
321C4⋊Dic5—33no—
322C4⋊Dic5—33no—
323C4⋊Dic5—33no—
324C4⋊Dic5—36no—
325C4⋊Dic5C22×D313yes—
326#683—31no—
327#683—36no—
328#683—33no—
329#683—33no—
330#683C22×D311yescharacteristic
331C4×Dic5—33no—
332C4×Dic5—33no—
333C4×Dic5—31no—
334C4×Dic5—33no—
335C4×Dic5—31no—
336C4×Dic5—33no—
337C4×Dic5—33no—
338C4×Dic5—33no—
339C4×Dic5C22×D313yes—
340#559—153no—
341#557—151no—
342#556—153no—
343#553—153no—
344#553—153no—
345#550—51no—
346#548—31no—
347#548—151no—
348#532—153no—
349#529—153no—
350#529—153no—
351C4×#41—153no—
352C4×#41—151no—
353C4×#41—151no—
354C2×C4×Q8—151no—
355C22×C3×C5—23no—
356C22×C3×C5—23no—
357C22×C3×C5—23no—
358C22×C3×C5C2511yescharacteristic
359C2×C5×D3—21no—
360C2×C5×D3—21no—
361C2×C5×D3C2×#4112yes—
362C2×C3×D5—23no—
363C2×C3×D5—23no—
364C2×C3×D5—23no—
365C3×C4×C5—21no—
366C3×C4×C5C2×#4116yes—
367Dic15—23no—
368Dic15—23no—
369Dic15—21no—
370Dic15C2×#4112yes—
371C3×Dic5—21no—
372C3×Dic5—23no—
373C3×Dic5C2×#4112yes—
374C5×Dic3—23no—
375C5×Dic3—23no—
376C5×Dic3—21no—
377C3×#41—24no—
378C3×#41—104no—
379C2×C3×Q8C22×D511yescharacteristic
380C2×C3×D4—53no—
381C2×C3×D4—56no—
382C2×C3×D4—53no—
383C2×C3×D4C22×D513yes—
384C22×C3×C4—53no—
385C22×C3×C4C22×D513yes—
386C2×#67—53no—
387C2×#67C22×D513yes—
388C22×Dic3—53no—
389C22×Dic3—53no—
390C22×Dic3—53no—
391C22×Dic3—53no—
392D3×Q8—24no—
393#237—1012no—
394C2×C4×D3—51no—
395C2×C4×D3—53no—
396C2×C4×D3C22×D513yes—
397C2×Dic6—53no—
398C2×Dic6C22×D513yes—
399C3×C4⋊C4—51no—
400C3×C4⋊C4—53no—
401C3×C22⋊C4—53no—
402C3×C22⋊C4—53no—
403C3×C42—53no—
404#217—56no—
405#217—53no—
406#217—56no—
407#217—56no—
408#217C22×D513yes—
409#217C22×D516yes—
410(C2×D3)⋊C4—51no—
411(C2×D3)⋊C4C22×D511yescharacteristic
412C4⋊Dic3—53no—
413C4⋊Dic3—53no—
414C4⋊Dic3—51no—
415C4⋊Dic3—56no—
416C4⋊Dic3C22×D513yes—
417Dic3⋊C4—53no—
418Dic3⋊C4—53no—
419Dic3⋊C4—53no—
420Dic3⋊C4—56no—
421Dic3⋊C4C22×D513yes—
422C4×Dic3—53no—
423C4×Dic3—53no—
424C4×Dic3—51no—
425C4×Dic3—53no—
426C4×Dic3—53no—
427C4×Dic3—53no—
428C4×Dic3—51no—
429C4×Dic3—53no—
430C4×Dic3C22×D513yes—
431C23×C5—31no—
432C23×C5C23×D313yes—
433C22×D5C23×D313yes—
434C5×Q8—66no—
435C5×Q8#23714yescomplemented
436C5×D4—26no—
437C5×D4—66no—
438C2×C4×C5—26no—
439C2×C4×C5—33no—
440C2×C4×C5—31no—
441C2×C4×C5—33no—
442C2×C4×C5—66no—
443C2×C4×C5C23×D311yescharacteristic
444C2×C4×C5C23×D313yes—
445C22⋊D5—26no—
446C22⋊D5—46no—
447C22⋊D5—66no—
448C2×Dic5—31no—
449C2×Dic5—34no—
450C2×Dic5—31no—
451C2×Dic5—33no—
452C2×Dic5—33no—
453C2×Dic5—66no—
454C2×Dic5—123no—
455C2×Dic5—123no—
456C2×Dic5C23×D311yescharacteristic
457C2×Dic5C23×D313yes—
458C2×Dic5C23×D311yescharacteristic
459D20—26no—
460C4×D5—26no—
461C4×D5—66no—
462C4×D5—123no—
463Dic10—66no—
464C2×#41—51no—
465C2×#41—153no—
466C2×#41D3×D511yescharacteristic
467C22×Q8—31no—
468C4⋊Q8—153no—
469#127—53no—
470#126—156no—
471#126—156no—
472#125—153no—
473#125—153no—
474#124—33no—
475#124—156no—
476#124—153no—
477#123—156no—
478#123—156no—
479C22⋊Q8—33no—
480C22⋊Q8—153no—
481#121—33no—
482#121—53no—
483#121—53no—
484#121—153no—
485#121—156no—
486C4×Q8—31no—
487C4×Q8—51no—
488C4×Q8—153no—
489C4×Q8—153no—
490C4×Q8—153no—
491C4×Q8—153no—
492C4×Q8—151no—
493C4×Q8—151no—
494C4×D4—33no—
495C4×D4—53no—
496C4×D4—153no—
497C4×D4—153no—
498C4×D4—153no—
499C4×D4—156no—
500C4×D4—153no—
501C4×D4—153no—
502C4×D4—153no—
503C4×D4—153no—
504C4×D4—153no—
505#117—153no—
506#117—151no—
507#117—153no—
508#117—153no—
509#117—153no—
510C2×C4⋊C4—153no—
511C2×C42—153no—
512C2×C42—153no—
513C2×C42—153no—
514C2×C3×C5—43no—
515C2×C3×C5C22×#4111yescharacteristic
516C2×C3×C5C22×#4111yescharacteristic
517C2×C3×C5#58511yescharacteristic
518C3×D5—43no—
519C5×D3—22no—
520C23×C3—53no—
521C23×C3C23×D513yes—
522C22×D3C23×D511yescharacteristic
523C3×Q8#71114yescomplemented
524C3×D4—26no—
525C3×D4—106no—
526C3×D4—106no—
527C3×D4—206no—
528C2×C3×C4—26no—
529C2×C3×C4—51no—
530C2×C3×C4—51no—
531C2×C3×C4—53no—
532C2×C3×C4—106no—
533C2×C3×C4C23×D511yescharacteristic
534C2×C3×C4C23×D513yes—
535#67—26no—
536#67—106no—
537C2×Dic3—51no—
538C2×Dic3—51no—
539C2×Dic3—53no—
540C2×Dic3—53no—
541C2×Dic3—106no—
542C2×Dic3—106no—
543C2×Dic3—203no—
544C2×Dic3—203no—
545C2×Dic3C23×D513yes—
546C2×Dic3C23×D511yescharacteristic
547C2×Dic3C23×D513yes—
548C4×D3—26no—
549C4×D3—54no—
550C4×D3—203no—
551Dic6—26no—
552Dic6—106no—
553C22×C5—23no—
554C22×C5—23no—
555C22×C5—23no—
556C22×C5—32no—
557C22×C5—61no—
558C22×C5—61no—
559C22×C5C24×D311yescharacteristic
560C2×D5—23no—
561C2×D5—23no—
562C2×D5—23no—
563C4×C5—21no—
564C4×C5—63no—
565C4×C5—63no—
566C4×C5—61no—
567C4×C5C2×#23716yes—
568Dic5—21no—
569Dic5—23no—
570Dic5—32no—
571Dic5—63no—
572Dic5—63no—
573Dic5—61no—
574Dic5D3×#4112yes—
575#41—24no—
576#41—104no—
577#41—3012no—
578C2×Q8—33no—
579C2×Q8—64no—
580C2×Q8—153no—
581C2×Q8C2×D3×D511yescharacteristic
582C2×D4—33no—
583C2×D4—53no—
584C2×D4—56no—
585C2×D4—53no—
586C2×D4—153no—
587C2×D4C2×D3×D513yes—
588C22×C4—33no—
589C22×C4—53no—
590C22×C4—153no—
591C22×C4—153no—
592C22×C4—151no—
593C22×C4—153no—
594C22×C4—153no—
595C22×C4—153no—
596C22×C4C2×D3×D513yes—
597C4⋊C4—33no—
598C4⋊C4—33no—
599C4⋊C4—53no—
600C4⋊C4—51no—
601C4⋊C4—156no—
602C4⋊C4—151no—
603C4⋊C4—153no—
604C4⋊C4—153no—
605C4⋊C4—153no—
606C4⋊C4—156no—
607C4⋊C4—153no—
608C4⋊C4—153no—
609C22⋊C4—33no—
610C22⋊C4—36no—
611C22⋊C4—31no—
612C22⋊C4—53no—
613C22⋊C4—53no—
614C22⋊C4—156no—
615C22⋊C4—153no—
616C22⋊C4—156no—
617C22⋊C4—151no—
618C22⋊C4—156no—
619C42—33no—
620C42—53no—
621C42—151no—
622C42—153no—
623C42—153no—
624C42—153no—
625C42—151no—
626C42—153no—
627C42—153no—
628C42—153no—
629C3×C5#348011yescharacteristic, complemented, Hall
630C22×C3—23no—
631C22×C3—23no—
632C22×C3—23no—
633C22×C3—103no—
634C22×C3—103no—
635C22×C3—103no—
636C22×C3C24×D511yescharacteristic
637C2×D3—21no—
638C2×D3—21no—
639C2×D3D5×#4112yes—
640C3×C4—21no—
641C3×C4—52no—
642C3×C4—101no—
643C3×C4—103no—
644C3×C4C2×#71116yes—
645Dic3—23no—
646Dic3—23no—
647Dic3—21no—
648Dic3—52no—
649Dic3—103no—
650Dic3—103no—
651Dic3—101no—
652C2×C5—43no—
653C2×C5—62no—
654C2×C5C22×#23711yescharacteristic
655C2×C5C2×D3×#4111yescharacteristic
656C2×C5#596611yescharacteristic
657D5—43no—
658C23—31no—
659C23—53no—
660C23C22×D3×D513yes—
661Q8—66no—
662Q8—306no—
663Q8#678014yescomplemented
664D4—26no—
665D4—66no—
666D4—106no—
667D4—106no—
668D4—206no—
669D4—306no—
670C2×C4—26no—
671C2×C4—31no—
672C2×C4—33no—
673C2×C4—33no—
674C2×C4—51no—
675C2×C4—53no—
676C2×C4—51no—
677C2×C4—66no—
678C2×C4—106no—
679C2×C4—154no—
680C2×C4—151no—
681C2×C4—153no—
682C2×C4—151no—
683C2×C4—153no—
684C2×C4—306no—
685C2×C4—306no—
686C2×C4—603no—
687C2×C4—603no—
688C2×C4—603no—
689C2×C4C22×D3×D511yescharacteristic
690C2×C4C22×D3×D513yes—
691C2×C3—43no—
692C2×C3—203no—
693C2×C3C22×#71111yescharacteristic
694C2×C3C2×D5×#4111yescharacteristic
695C2×C3#6628711yescharacteristic
696D3—22no—
697C5#8676711yescharacteristic, complemented, Sylow
698C22—23no—
699C22—23no—
700C22—23no—
701C22—32no—
702C22—61no—
703C22—61no—
704C22—103no—
705C22—103no—
706C22—103no—
707C22C23×D3×D511yescharacteristic
708C4—21no—
709C4—52no—
710C4—61no—
711C4—63no—
712C4—63no—
713C4—103no—
714C4—101no—
715C4—152no—
716C4—303no—
717C4—301no—
718C4—303no—
719C4C2×#678016yes—
720C3#1061861211yescharacteristic, complemented, Sylow
721C2—43no—
722C2—62no—
723C2—203no—
724C2D3×D5×#4111yescharacteristic
725C2#1175706211yescharacteristic
726C2C22×#678011yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC2×C3×C5×#41C22
hypercenterC2×#41D3×D5
hypocenterC3×C5#3480
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. #41×Dic15C2semidirect
2. C5×#5831C2semidirect
3. C3×#66168C2semidirect
4. #11755267C2semidirect
5. #11755247C2semidirect
6. Dic3×#713C2semidirect
7. D3×Q8×Dic5C2semidirect
8. #11754969C2semidirect
9. #11754862C2semidirect
10. #11754834C2semidirect
11. #11754771C2semidirect
12. #11754451C2semidirect
13. #11754427C2semidirect
14. C4×#6780C2semidirect
15. #11754231C2semidirect
69. #66168D3semidirect
139. #5831D5semidirect
206. C3×C5×Q8#41semidirect
233. D3×Dic5#41semidirect
435. C5×Q8#237semidirect
523. C3×Q8#711semidirect
629. C3×C5#3480semidirect
663. Q8#6780semidirect
697. C5#86767semidirect
720. C3#10618612semidirect

Maximal subgroups

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

subgroupindex
#41×Dic152
C5×#58312
C3×#661682
#117552672
#117552472
Dic3×#7132
D3×Q8×Dic52
#117549692
#117548622
#117548342
#117547712
#117544512
#117544272
C4×#67802
#117542312
#106186123
#867675