Finite Group Databasebeta

← #14484811

Subgroups — #14484811

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×#5834C211yesmaximal, characteristic, complemented
3C3×#66165C211yesmaximal, characteristic, complemented
4#11755268C211yesmaximal, characteristic, complemented
5#11755244C211yesmaximal, characteristic, complemented
6Dic5×#239C211yesmaximal, characteristic, complemented
7Q8×D5×Dic3C211yesmaximal, characteristic, complemented
8#11754962C213yesmaximal, complemented
9#11754888C213yesmaximal, complemented
10#11754873C213yesmaximal, complemented
11#11754762C213yesmaximal, complemented
12#11754460C213yesmaximal, complemented
13#11754406C213yesmaximal, complemented
14C4×#6780C213yesmaximal, complemented
15#11754233C213yesmaximal, complemented
16#10618668—31nomaximal, Hall
17C2×C3×C5×#41C2211yescharacteristic
18C2×C5×#239C2211yescharacteristic
19C2×C3×Q8×D5C2211yescharacteristic
20C2×#6780C2213yes—
21Q8×Dic15C2211yescharacteristic
22Q8×Dic15C2211yescharacteristic
23D4×Dic15C2213yes—
24D4×Dic15C2213yes—
25#91815C2213yes—
26C2×C4×Dic15C2213yes—
27C5×Q8×Dic3C2211yescharacteristic
28C5×#940C2213yes—
29C5×#938C2213yes—
30C5×#930C2213yes—
31C4×C5×#67C2213yes—
32C3×Q8×Dic5C2211yescharacteristic
33C3×#4084C2213yes—
34C3×#4082C2213yes—
35C3×C4×C22⋊D5C2213yes—
36C3×#4070C2213yes—
37#67⋊Dic5C2216yes—
38#67⋊Dic5C2213yes—
39#91559C2213yes—
40#91555C2216yes—
41#91549C2216yes—
42#91543C2216yes—
43#91532C2213yes—
44#91530C2216yes—
45#91525C2216yes—
46#91469C2213yes—
47C4×#1204C2213yes—
48#91449C2213yes—
49#91442C2213yes—
50C4×#1201C2213yes—
51#91435C2213yes—
52Dic5×D12C2213yes—
53D5×C4⋊Dic3C2213yes—
54#91400C2213yes—
55C4×D3×Dic5C2213yes—
56#91394C2211yescharacteristic
57C4×D5×Dic3C2213yes—
58#91388C2213yes—
59#91384C2213yes—
60#91370C2213yes—
61#91369C2213yes—
62#91367C2216yes—
63#91338C2213yes—
64#91331C2213yes—
65Dic3×Dic10C2213yes—
66#91325C2213yes—
67#86711—51nomaximal, Hall
68C5×#550—31no—
69#66165—31no—
70#66165D311yescharacteristic, complemented
71#41×Dic5—31no—
72#41×Dic5—31no—
73#66050—33no—
74#66047—33no—
75#65948—33no—
76#65948—33no—
77#65934—33no—
78#65934—33no—
79C4×Q8×D5—31no—
80#65904—31no—
81#65876—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—
90C2×C5×#67C2316yes—
91C5×#239—24no—
92C2×C5×D12C2313yes—
93C2×C4×C5×D3C2313yes—
94C2×C3×C22⋊D5C2313yes—
95C3×Q8×D5—24no—
96C2×C3×C4×D5C2313yes—
97C2×C3×Dic10C2313yes—
98C2×#1204C2313yes—
99C2×#1201C2313yes—
100C2×D3×Dic5C2313yes—
101C2×D3×Dic5C2313yes—
102#6780—212no—
103C2×D5×Dic3C2313yes—
104C2×D5×Dic3C2311yescharacteristic
105#6719C2316yes—
106C4⋊Dic15C2313yes—
107C4⋊Dic15C2313yes—
108C4×Dic15C2311yescharacteristic
109C4×Dic15C2313yes—
110C4×Dic15C2313yes—
111C4×Dic15C2313yes—
112C5×#217C2313yes—
113C5×(C2×D3)⋊C4C2313yes—
114C5×C4⋊Dic3C2313yes—
115C5×Dic3⋊C4C2311yescharacteristic
116C4×C5×Dic3C2313yes—
117C3×C22⋊Dic5C2313yes—
118C3×C22⋊Dic5C2316yes—
119C3×#685C2311yescharacteristic
120C3×C4⋊Dic5C2313yes—
121C3×#683C2313yes—
122C3×C4×Dic5C2313yes—
123Dic3⋊Dic5C2311yescharacteristic
124Dic3⋊Dic5C2316yes—
125#6669C2313yes—
126#6669C2313yes—
127#6668C2313yes—
128#6668C2316yes—
129(C2×D3)⋊Dic5C2313yes—
130(C2×D3)⋊Dic5C2316yes—
131(C2×D3)⋊Dic5C2316yes—
132#6665C2311yescharacteristic
133Dic3×Dic5C2311yescharacteristic
134Dic3×Dic5C2313yes—
135Dic3×Dic5C2313yes—
136Dic3×Dic5C2313yes—
137C3×#548—51no—
138#5834D511yescharacteristic, complemented
139Dic3×#41—51no—
140#5817—51no—
141C2×Q8×Dic3—51no—
142#5681—53no—
143#5680—53no—
144#5641—53no—
145#5624—53no—
146#5618—53no—
147#5596—53no—
148C4×#239—51no—
149#5569—51no—
150#5565—53no—
151C4×#237—53no—
152C2×C5×#41—31no—
153C2×C5×#41C2×D311yescharacteristic
154C2×Q8×D5C2×D311yescharacteristic
155C2×#711—33no—
156C5×#127—33no—
157C5×#121—33no—
158C5×#121—33no—
159C4×C5×Q8—31no—
160C4×C5×D4—33no—
161Q8×Dic5—31no—
162Q8×Dic5—31no—
163Q8×Dic5C2×D311yescharacteristic
164#4084—36no—
165#4084—33no—
166#4084C2×D313yes—
167#4082—33no—
168#4082—36no—
169#4082C2×D313yes—
170#4081—36no—
171#4081—36no—
172D4×Dic5—33no—
173D4×Dic5—33no—
174D4×Dic5—36no—
175D4×Dic5—33no—
176D4×Dic5—33no—
177D4×Dic5—33no—
178C4×C22⋊D5—33no—
179C4×C22⋊D5C2×D313yes—
180#4072—33no—
181#4072—33no—
182#4070—33no—
183#4070C2×D313yes—
184C2×C4×Dic5—33no—
185C2×C4×Dic5—33no—
186#4038—31no—
187D5×C4⋊C4—33no—
188#4036—33no—
189#4036—33no—
190#4033—33no—
191#4033—33no—
192#4027—33no—
193#4027—33no—
194#4025—36no—
195#4025—36no—
196#4023—33no—
197#4023—33no—
198C42×D5—33no—
199#4015—33no—
200C4×Dic10—33no—
201C4×Dic10—33no—
202#3480—151noSylow
203C23×C3×C5C2413yes—
204C22×C5×D3C2413yes—
205C22×C3×D5C2411yescharacteristic
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—
218C5×#67—46no—
219C2×C5×Dic3C2411yescharacteristic
220C2×C5×Dic3C2413yes—
221C2×C5×Dic3C2411yescharacteristic
222C5×D12—26no—
223C4×C5×D3—26no—
224C3×C22⋊D5—26no—
225C2×C3×Dic5C2413yes—
226C2×C3×Dic5C2413yes—
227C2×C3×Dic5C2411yescharacteristic
228C3×C4×D5—26no—
229C3×Dic10—26no—
230#1204—26no—
231#1201—26no—
232D3×Dic5—26no—
233D3×Dic5—43no—
234D5×Dic3—43no—
235D5×Dic3#4114yescomplemented
236C2×C3×#41C2×D511yescharacteristic
237C22×C3×Q8—51no—
238C2×#239C2×D511yescharacteristic
239C2×#237—53no—
240C3×#124—53no—
241C3×C22⋊Q8—53no—
242C3×#121—53no—
243C3×C4×Q8—51no—
244C3×C4×D4—53no—
245#947—53no—
246#946—53no—
247Q8×Dic3—51no—
248Q8×Dic3—51no—
249Q8×Dic3—53no—
250Q8×Dic3—53no—
251Q8×Dic3C2×D511yescharacteristic
252#940C2×D513yes—
253#939—56no—
254#938C2×D513yes—
255D4×Dic3—53no—
256D4×Dic3—53no—
257D4×Dic3—53no—
258#930—53no—
259#930C2×D513yes—
260C4×#67—53no—
261C4×#67C2×D513yes—
262#926—53no—
263C2×C4⋊Dic3—53no—
264C2×C4×Dic3—53no—
265C2×C4×Dic3—53no—
266#898—56no—
267#893—53no—
268#892—53no—
269#892—53no—
270#890—53no—
271#888—53no—
272#887—53no—
273#886—56no—
274#885—56no—
275#883—56no—
276#67⋊C4—56no—
277#67⋊C4—53no—
278#67⋊C4—53no—
279#879—56no—
280#877—53no—
281#877—51no—
282C4×D12—53no—
283C42×D3—53no—
284#870—53no—
285C4×Dic6—53no—
286C5×#41—24no—
287C5×#41—64no—
288C2×C5×Q8C22×D311yescharacteristic
289C2×C5×D4—33no—
290C2×C5×D4—36no—
291C2×C5×D4—33no—
292C2×C5×D4C22×D313yes—
293C22×C4×C5—33no—
294C22×C4×C5C22×D313yes—
295C2×C22⋊D5—33no—
296C2×C22⋊D5C22×D313yes—
297C22×Dic5—33no—
298C22×Dic5—33no—
299C22×Dic5—33no—
300C22×Dic5—33no—
301Q8×D5—24no—
302#711—612no—
303C2×C4×D5—31no—
304C2×C4×D5—33no—
305C2×C4×D5C22×D313yes—
306C2×Dic10—33no—
307C2×Dic10C22×D313yes—
308C5×C4⋊C4—31no—
309C5×C4⋊C4—33no—
310C5×C22⋊C4—33no—
311C5×C22⋊C4—33no—
312C42×C5—33no—
313C22⋊Dic5—36no—
314C22⋊Dic5—33no—
315C22⋊Dic5—36no—
316C22⋊Dic5—36no—
317C22⋊Dic5C22×D313yes—
318C22⋊Dic5C22×D316yes—
319#685—31no—
320#685C22×D311yescharacteristic
321C4⋊Dic5—33no—
322C4⋊Dic5—33no—
323C4⋊Dic5—31no—
324C4⋊Dic5—36no—
325C4⋊Dic5C22×D313yes—
326#683—33no—
327#683—36no—
328#683—33no—
329#683—33no—
330#683C22×D313yes—
331C4×Dic5—33no—
332C4×Dic5—33no—
333C4×Dic5—31no—
334C4×Dic5—33no—
335C4×Dic5—33no—
336C4×Dic5—33no—
337C4×Dic5—31no—
338C4×Dic5—33no—
339C4×Dic5C22×D313yes—
340#559—153no—
341#557—151no—
342#556—153no—
343#553—153no—
344#553—153no—
345#550—31no—
346#548—51no—
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—23no—
360C2×C5×D3—23no—
361C2×C5×D3—23no—
362C2×C3×D5—21no—
363C2×C3×D5—21no—
364C2×C3×D5C2×#4112yes—
365C3×C4×C5—21no—
366C3×C4×C5C2×#4116yes—
367Dic15—23no—
368Dic15—23no—
369Dic15—21no—
370Dic15C2×#4112yes—
371C3×Dic5—23no—
372C3×Dic5—23no—
373C3×Dic5—21no—
374C5×Dic3—21no—
375C5×Dic3—23no—
376C5×Dic3C2×#4112yes—
377C3×#41—24no—
378C2×C3×Q8—53no—
379C2×C3×Q8—104no—
380C2×C3×Q8C22×D511yescharacteristic
381C2×C3×D4—53no—
382C2×C3×D4C22×D513yes—
383C22×C3×C4—53no—
384C22×C3×C4C22×D513yes—
385C2×#67—53no—
386C2×#67C22×D513yes—
387C2×#67C22×D516yes—
388C22×Dic3—51no—
389C22×Dic3—53no—
390C22×Dic3—53no—
391C22×Dic3—53no—
392#239—24no—
393#237—1012no—
394C2×D12C22×D513yes—
395C2×C4×D3—53no—
396C2×C4×D3—53no—
397C2×C4×D3C22×D513yes—
398C2×Dic6—53no—
399C3×C4⋊C4—53no—
400C3×C4⋊C4—53no—
401C3×C22⋊C4—53no—
402C3×C22⋊C4—56no—
403C3×C22⋊C4—51no—
404C3×C42—53no—
405#217—56no—
406#217—51no—
407#217C22×D513yes—
408(C2×D3)⋊C4—56no—
409(C2×D3)⋊C4—56no—
410(C2×D3)⋊C4—53no—
411(C2×D3)⋊C4C22×D513yes—
412C4⋊Dic3—53no—
413C4⋊Dic3—53no—
414C4⋊Dic3—53no—
415C4⋊Dic3—56no—
416C4⋊Dic3C22×D513yes—
417Dic3⋊C4—53no—
418Dic3⋊C4—53no—
419Dic3⋊C4—51no—
420Dic3⋊C4—56no—
421Dic3⋊C4C22×D511yescharacteristic
422C4×Dic3—53no—
423C4×Dic3—53no—
424C4×Dic3—51no—
425C4×Dic3—53no—
426C4×Dic3—51no—
427C4×Dic3—53no—
428C4×Dic3—53no—
429C4×Dic3—53no—
430C4×Dic3C22×D513yes—
431C23×C5—33no—
432C23×C5C23×D313yes—
433C22×D5C23×D311yescharacteristic
434C5×Q8#23714yescomplemented
435C5×D4—26no—
436C5×D4—66no—
437C5×D4—66no—
438C5×D4—126no—
439C2×C4×C5—26no—
440C2×C4×C5—31no—
441C2×C4×C5—31no—
442C2×C4×C5—33no—
443C2×C4×C5—66no—
444C2×C4×C5C23×D311yescharacteristic
445C2×C4×C5C23×D313yes—
446C22⋊D5—26no—
447C22⋊D5—66no—
448C2×Dic5—31no—
449C2×Dic5—31no—
450C2×Dic5—33no—
451C2×Dic5—33no—
452C2×Dic5—66no—
453C2×Dic5—66no—
454C2×Dic5—123no—
455C2×Dic5—123no—
456C2×Dic5C23×D313yes—
457C2×Dic5C23×D311yescharacteristic
458C2×Dic5C23×D313yes—
459C4×D5—26no—
460C4×D5—34no—
461C4×D5—123no—
462Dic10—26no—
463Dic10—66no—
464C2×#41—31no—
465C2×#41—153no—
466C2×#41D3×D511yescharacteristic
467C22×Q8—51no—
468C4⋊Q8—153no—
469#127—33no—
470#126—156no—
471#126—156no—
472#125—153no—
473#125—153no—
474#124—53no—
475#124—156no—
476#124—153no—
477#123—156no—
478#123—156no—
479C22⋊Q8—53no—
480C22⋊Q8—153no—
481#121—33no—
482#121—33no—
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—153no—
500C4×D4—156no—
501C4×D4—153no—
502C4×D4—153no—
503C4×D4—153no—
504C4×D4—153no—
505#117—153no—
506#117—153no—
507#117—151no—
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—22no—
519C5×D3—43no—
520C23×C3—51no—
521C23×C3C23×D513yes—
522C22×D3C23×D513yes—
523C3×Q8—106no—
524C3×Q8#71114yescomplemented
525C3×D4—26no—
526C3×D4—106no—
527C2×C3×C4—26no—
528C2×C3×C4—53no—
529C2×C3×C4—51no—
530C2×C3×C4—53no—
531C2×C3×C4—106no—
532C2×C3×C4C23×D511yescharacteristic
533C2×C3×C4C23×D513yes—
534#67—26no—
535#67—46no—
536#67—106no—
537C2×Dic3—51no—
538C2×Dic3—54no—
539C2×Dic3—51no—
540C2×Dic3—53no—
541C2×Dic3—53no—
542C2×Dic3—106no—
543C2×Dic3—203no—
544C2×Dic3—203no—
545C2×Dic3C23×D511yescharacteristic
546C2×Dic3C23×D513yes—
547C2×Dic3C23×D511yescharacteristic
548D12—26no—
549C4×D3—26no—
550C4×D3—106no—
551C4×D3—203no—
552Dic6—106no—
553C22×C5—23no—
554C22×C5—23no—
555C22×C5—23no—
556C22×C5—63no—
557C22×C5—63no—
558C22×C5—63no—
559C22×C5C24×D311yescharacteristic
560C2×D5—21no—
561C2×D5—21no—
562C2×D5D3×#4112yes—
563C4×C5—21no—
564C4×C5—32no—
565C4×C5—61no—
566C4×C5—63no—
567C4×C5C2×#23716yes—
568Dic5—23no—
569Dic5—23no—
570Dic5—21no—
571Dic5—32no—
572Dic5—63no—
573Dic5—63no—
574Dic5—61no—
575#41—24no—
576#41—64no—
577#41—3012no—
578C2×Q8—53no—
579C2×Q8—104no—
580C2×Q8—153no—
581C2×Q8C2×D3×D511yescharacteristic
582C2×D4—33no—
583C2×D4—36no—
584C2×D4—33no—
585C2×D4—53no—
586C2×D4—153no—
587C2×D4C2×D3×D513yes—
588C22×C4—33no—
589C22×C4—53no—
590C22×C4—151no—
591C22×C4—153no—
592C22×C4—153no—
593C22×C4—153no—
594C22×C4—153no—
595C22×C4—153no—
596C22×C4C2×D3×D513yes—
597C4⋊C4—33no—
598C4⋊C4—31no—
599C4⋊C4—53no—
600C4⋊C4—53no—
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—33no—
611C22⋊C4—53no—
612C22⋊C4—56no—
613C22⋊C4—51no—
614C22⋊C4—151no—
615C22⋊C4—156no—
616C22⋊C4—153no—
617C22⋊C4—156no—
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—52no—
634C22×C3—101no—
635C22×C3—101no—
636C22×C3C24×D511yescharacteristic
637C2×D3—23no—
638C2×D3—23no—
639C2×D3—23no—
640C3×C4—21no—
641C3×C4—103no—
642C3×C4—103no—
643C3×C4—101no—
644C3×C4C2×#71116yes—
645Dic3—21no—
646Dic3—23no—
647Dic3—52no—
648Dic3—103no—
649Dic3—103no—
650Dic3—101no—
651Dic3D5×#4112yes—
652C2×C5—43no—
653C2×C5—123no—
654C2×C5C22×#23711yescharacteristic
655C2×C5C2×D3×#4111yescharacteristic
656C2×C5#596811yescharacteristic
657D5—22no—
658C23—33no—
659C23—51no—
660C23C22×D3×D513yes—
661Q8—106no—
662Q8—306no—
663Q8#678014yescomplemented
664D4—26no—
665D4—66no—
666D4—66no—
667D4—106no—
668D4—126no—
669D4—306no—
670C2×C4—26no—
671C2×C4—31no—
672C2×C4—33no—
673C2×C4—31no—
674C2×C4—51no—
675C2×C4—53no—
676C2×C4—53no—
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—102no—
693C2×C3C22×#71111yescharacteristic
694C2×C3C2×D5×#4111yescharacteristic
695C2×C3#6628511yescharacteristic
696D3—43no—
697C5#8671111yescharacteristic, complemented, Sylow
698C22—23no—
699C22—23no—
700C22—23no—
701C22—52no—
702C22—63no—
703C22—63no—
704C22—63no—
705C22—101no—
706C22—101no—
707C22C23×D3×D511yescharacteristic
708C4—21no—
709C4—32no—
710C4—63no—
711C4—61no—
712C4—101no—
713C4—103no—
714C4—103no—
715C4—152no—
716C4—303no—
717C4—301no—
718C4—303no—
719C4C2×#678016yes—
720C3#1061866811yescharacteristic, complemented, Sylow
721C2—43no—
722C2—102no—
723C2—123no—
724C2D3×D5×#4111yescharacteristic
725C2#1175706411yescharacteristic
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×#5834C2semidirect
3. C3×#66165C2semidirect
4. #11755268C2semidirect
5. #11755244C2semidirect
6. Dic5×#239C2semidirect
7. Q8×D5×Dic3C2semidirect
8. #11754962C2semidirect
9. #11754888C2semidirect
10. #11754873C2semidirect
11. #11754762C2semidirect
12. #11754460C2semidirect
13. #11754406C2semidirect
14. C4×#6780C2semidirect
15. #11754233C2semidirect
70. #66165D3semidirect
138. #5834D5semidirect
206. C3×C5×Q8#41semidirect
235. D5×Dic3#41semidirect
434. C5×Q8#237semidirect
524. C3×Q8#711semidirect
629. C3×C5#3480semidirect
663. Q8#6780semidirect
697. C5#86711semidirect
720. C3#10618668semidirect

Maximal subgroups

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

subgroupindex
#41×Dic152
C5×#58342
C3×#661652
#117552682
#117552442
Dic5×#2392
Q8×D5×Dic32
#117549622
#117548882
#117548732
#117547622
#117544602
#117544062
C4×#67802
#117542332
#106186683
#867115