Finite Group Databasebeta

← #14435756

Subgroups — #14435756

Order 1920.

812 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#11752725C211yesmaximal, characteristic, complemented
2#11752717C211yesmaximal, characteristic, complemented
3#11750943C211yesmaximal, characteristic, complemented
4C5×#4844C211yesmaximal, characteristic, complemented
5C3×#65129C211yesmaximal, characteristic, complemented
6#11748116C211yesmaximal, characteristic
7#11748114C211yesmaximal, characteristic, complemented
8#11747906C211yesmaximal, characteristic, complemented
9#11747775C211yesmaximal, characteristic, complemented
10Dic5×#204C211yesmaximal, characteristic, complemented
11#11747748C211yesmaximal, characteristic, complemented
12#11747745C211yesmaximal, characteristic, complemented
13#11747675C211yesmaximal, characteristic, complemented
14#11747046C211yesmaximal, characteristic, complemented
15#11746964C211yesmaximal, characteristic, complemented
16#10612240—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C4×D60C2211yescharacteristic
19#91758C2211yescharacteristic, complemented
20C2×C5×D24C2211yescharacteristic
21C2×C5×#204C2211yescharacteristic
22C5×#875C2211yescharacteristic, complemented
23C4×C5×D12C2211yescharacteristic
24C3×#4018C2211yescharacteristic
25#91473—21no—
26D3×#685—21no—
27#91462—21no—
28#91457—21no—
29#91449C2211yescharacteristic
30#91446—21no—
31#91432—21no—
32#91418C2211yescharacteristic
33Dic5×D12C2211yescharacteristic
34Dic5×D12C2211yescharacteristic, complemented
35#91406—21no—
36#91359C2211yescharacteristic
37#91358C2211yescharacteristic
38#91342—21no—
39Dic5×Dic6C2211yescharacteristic, complemented
40C2×#6660C2211yescharacteristic
41C2×#6654C2211yescharacteristic
42C3×C5×C4⋊C8C2211yescharacteristic, complemented
43#91105C2211yescharacteristic
44#91105C2211yescharacteristic
45#91101C2211yescharacteristic, complemented
46#91101C2211yescharacteristic, complemented
47C5×#821C2211yescharacteristic, complemented
48C5×#816C2211yescharacteristic, complemented
49C3×#3952C2211yescharacteristic
50C3×#3952C2211yescharacteristic
51C3×#3947C2211yescharacteristic, complemented
52C3×C8×Dic5C2211yescharacteristic, complemented
53C3×C4⋊#168C2211yescharacteristic, complemented
54#90988C2211yescharacteristic, complemented
55#90988C2211yescharacteristic, complemented
56#90973C2211yescharacteristic, complemented
57#90967C2211yescharacteristic
58#90967C2211yescharacteristic
59#90967C2211yescharacteristic, complemented
60#79383—51nomaximal, Hall
61#66016—31no—
62#65879—31no—
63C5×#463—31no—
64#65458—31no—
65SD16×Dic5—31no—
66#65445—31no—
67#65441—31no—
68#65346—31no—
69#65296—31no—
70#65131—31no—
71#65129D311yescharacteristic, complemented
72#65106—31no—
73#65104—31no—
74#65068—31no—
75#65045—31no—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30—21no—
80C2×C5×D12C2311yescharacteristic
81C2×C5×D12C2311yescharacteristic
82C2×C4×C5×D3—21no—
83C2×C5×Dic6C2311yescharacteristic
84C2×C3×C4×D5C2311yescharacteristic
85C2×#1203—21no—
86C2×#1201—21no—
87C2×#1200—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90D5×D12—22no—
91D5×D12—22no—
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94C3×C42×C5C2311yescharacteristic
95#6714—21no—
96C4⋊Dic15—21no—
97C4⋊Dic15C2311yescharacteristic
98C4⋊Dic15C2311yescharacteristic
99C4⋊Dic15C2311yescharacteristic
100C5×(C2×D3)⋊C4—21no—
101C5×(C2×D3)⋊C4—21no—
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3C2311yescharacteristic
104C5×D24—22no—
105C5×#204—22no—
106C3×#685D411yescharacteristic
107C3×#685D411yescharacteristic
108C3×#683D411yescharacteristic
109C3×#683D411yescharacteristic
110C3×C4×Dic5C2311yescharacteristic
111C2×C3×#168C2311yescharacteristic
112C2×C3×#168C2311yescharacteristic
113Dic3⋊Dic5—21no—
114#6669—21no—
115#6667—21no—
116(C2×D3)⋊Dic5—21no—
117(C2×D3)⋊Dic5—21no—
118(C2×D3)⋊Dic5—21no—
119#6665—21no—
120#6665—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123#6660—22no—
124#6654—22no—
125#5534—51no—
126#5521—51no—
127C3×#433—51no—
128#4846—51no—
129#4844—51no—
130#4844D511yescharacteristic, complemented
131#4842—51no—
132#4737—51no—
133#4732—51no—
134#4731—51no—
135#4723—51no—
136#4711—51no—
137#4710—51no—
138C4×D24—51no—
139C4×#204—51no—
140C2×D4×D5—31no—
141C2×C5×SD16—31no—
142C2×C5×D8—31no—
143C5×#124—31no—
144C4×C5×D4—31no—
145#4092—31no—
146Q8×Dic5—31no—
147C2×#688—31no—
148#4084—31no—
149D4×Dic5—31no—
150D4×Dic5—31no—
151C2×#686—31no—
152C4×C22⋊D5—61no—
153C2×#685—61no—
154#4039—31no—
155#4038—31no—
156#4032—61no—
157#4031—61no—
158#4027—61no—
159D5×C22⋊C4—61no—
160#4025—61no—
161#4024—61no—
162C4×D20—31no—
163#4018C2×D311yescharacteristic
164#4015—31no—
165C5×C4⋊C8C2×D311yescharacteristic, complemented
166C5×#103—31no—
167C5×#102—31no—
168#3967—31no—
169#3964—31no—
170#3964—31no—
171#3964—31no—
172#3953—31no—
173#3953—31no—
174#3952C2×D311yescharacteristic
175#3952C2×D311yescharacteristic
176#3949—31no—
177#3949—31no—
178#3947C2×D311yescharacteristic, complemented
179C8×Dic5C2×D311yescharacteristic, complemented
180#3939—31no—
181#3939—31no—
182C4⋊#168C2×D311yescharacteristic, complemented
183#3118—151noSylow
184C22×D15—21no—
185C22×C5×D3—21no—
186C22×C5×D3—21no—
187C22×C3×D5C2×D411yescharacteristic
188C2×D3×D5—24no—
189C2×D3×D5—81no—
190C2×D3×D5—81no—
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2×D411yescharacteristic
193C2×C3×C4×C5C2411yescharacteristic
194C2×Dic15—21no—
195C2×Dic15—21no—
196C2×Dic15—21no—
197D60—21no—
198D60#4112yes—
199C4×D15—81no—
200Dic30—81no—
201C2×C5×Dic3—21no—
202C2×C5×Dic3—21no—
203C5×D12—21no—
204C5×D12—21no—
205C5×D12—21no—
206C5×D12#4112yes—
207C4×C5×D3—81no—
208C5×Dic6—21no—
209C5×Dic6—21no—
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C2×C3×Dic5C2×D411yescharacteristic
213C3×C4×D5—21no—
214C3×C4×D5—21no—
215#1203—24no—
216#1201—81no—
217#1200—81no—
218D3×Dic5—81no—
219D3×Dic5—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3×#168—21no—
223C3×#168—21no—
224C22×D12—51no—
225C3×#117—51no—
226#930—51no—
227#926—51no—
228#924—51no—
229C2×D24—51no—
230C2×D24C2×D511yescharacteristic
231C2×#204—51no—
232C2×#204C2×D511yescharacteristic
233#898—101no—
234#896—101no—
235#893—101no—
236#893—101no—
237#885—101no—
238#883—101no—
239D3×C22⋊C4—101no—
240D3×C22⋊C4—101no—
241#875C2×D511yescharacteristic, complemented
242C4×D12—51no—
243C4×D12—51no—
244C4×D12—51no—
245C4×D12—51no—
246C4×D12C2×D511yescharacteristic
247#869—51no—
248C4×Dic6—51no—
249C3×C4⋊C8—51no—
250C3×C4⋊C8C2×D511yescharacteristic, complemented
251C3×C22⋊C8—51no—
252C3×C22⋊C8—51no—
253C3×#97—51no—
254C3×C4×C8—51no—
255#821—51no—
256#821—51no—
257#821—51no—
258#821—51no—
259#821—51no—
260#821C2×D511yescharacteristic, complemented
261#818—51no—
262#818—51no—
263#817—51no—
264#817—51no—
265#816—51no—
266#816C2×D511yescharacteristic, complemented
267C23×D5—61no—
268C2×C5×Q8—31no—
269C2×C5×D4—31no—
270C2×C5×D4—31no—
271C22×C4×C5—61no—
272C2×C22⋊D5—61no—
273C2×C22⋊D5—61no—
274C22×Dic5—61no—
275C22×Dic5—61no—
276D4×D5—62no—
277D4×D5—62no—
278C2×D20—31no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5C22×D311yescharacteristic
282C2×Dic10—61no—
283C5×SD16—62no—
284C5×D8—62no—
285C2×C5×C8C22×D311yescharacteristic
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4—31no—
288C5×C22⋊C4—61no—
289C5×C22⋊C4—61no—
290C5×C22⋊C4—61no—
291C42×C5C22×D311yescharacteristic
292C22⋊Dic5—61no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295#688—62no—
296#686—62no—
297#685—61no—
298#685—61no—
299#685—61no—
300#685—61no—
301#685D1211yescharacteristic
302#685D1211yescharacteristic
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5—31no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308#683—61no—
309#683D1211yescharacteristic
310#683D1211yescharacteristic
311C4×Dic5—61no—
312C4×Dic5—61no—
313C4×Dic5C22×D311yescharacteristic
314C2×#168C22×D311yescharacteristic
315C2×#168C22×D311yescharacteristic
316#542—151no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—31no—
323#463—151no—
324#450—151no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—51no—
331C22×C3×C5C22×D411yescharacteristic
332C2×D15—22no—
333C2×D15—41no—
334C2×D15—41no—
335C2×C5×D3—22no—
336C2×C5×D3—41no—
337C2×C5×D3—41no—
338C2×C5×D3—41no—
339C2×C5×D3—41no—
340C2×C5×D3—41no—
341C2×C3×D5—21no—
342C2×C3×D5—21no—
343C2×C3×D5—21no—
344D3×D5—84no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5C2×#4111yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—41no—
350Dic15—41no—
351Dic15—41no—
352C3×Dic5—21no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C5×Dic3—41no—
356C5×Dic3—41no—
357C23×D3—101no—
358C22×C3×C4—51no—
359C2×#67—101no—
360C2×D12—51no—
361C2×D12—102no—
362C2×D12—101no—
363C2×D12—102no—
364C2×D12C22×D511yescharacteristic
365C2×D12C22×D511yescharacteristic
366C2×C4×D3—21no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×Dic6—101no—
372C2×Dic6C22×D511yescharacteristic
373C2×C3×C8—51no—
374C2×C3×C8—51no—
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4—51no—
378C3×C4⋊C4—51no—
379C3×C22⋊C4—51no—
380C3×C22⋊C4—51no—
381C3×C42—51no—
382C3×C42C22×D511yescharacteristic
383#217—101no—
384#217—101no—
385(C2×D3)⋊C4—21no—
386(C2×D3)⋊C4—21no—
387(C2×D3)⋊C4—21no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393C4⋊Dic3—51no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—101no—
397C4⋊Dic3C22×D511yescharacteristic
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—101no—
401C4×Dic3—101no—
402D24—22no—
403D24—102no—
404#204—22no—
405#204—102no—
406C23×C5—61no—
407C23×C5—61no—
408C22×D5—64no—
409C22×D5—61no—
410C22×D5—241no—
411C22×D5—241no—
412C22×D5C2×D1211yescharacteristic
413C5×Q8—61no—
414C5×Q8—61no—
415C5×D4—32no—
416C5×D4—61no—
417C5×D4—61no—
418C5×D4—61no—
419C2×C4×C5—61no—
420C2×C4×C5—61no—
421C2×C4×C5—241no—
422C2×C4×C5C2×D1211yescharacteristic
423C2×C4×C5C2×D1211yescharacteristic
424C2×C4×C5C23×D311yescharacteristic
425C22⋊D5—64no—
426C22⋊D5—241no—
427C2×Dic5—61no—
428C2×Dic5—61no—
429C2×Dic5—61no—
430C2×Dic5—241no—
431C2×Dic5—241no—
432C2×Dic5C2×D1211yescharacteristic
433C2×Dic5C2×D1211yescharacteristic
434C2×Dic5C2×D1211yescharacteristic
435D20—32no—
436D20—61no—
437C4×D5—21no—
438C4×D5—21no—
439C4×D5—241no—
440C4×D5—241no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444#168—21no—
445#168—21no—
446C22×D4—151no—
447C2×SD16—31no—
448C2×SD16—151no—
449C2×D8—31no—
450C2×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—31no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—31no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—51no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—51no—
476C4⋊C8D3×D511yescharacteristic, complemented
477#103—31no—
478#103—151no—
479#102—31no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—51no—
486C22⋊C8—51no—
487#97—51no—
488C4×C8—51no—
489C2×C3×C5#52511yescharacteristic
490C2×C3×C5#57611yescharacteristic
491C2×C3×C5#57711yescharacteristic
492D15—42no—
493C3×D5—41no—
494C5×D3—42no—
495C5×D3—81no—
496C23×C3—51no—
497C22×D3—21no—
498C22×D3—21no—
499C22×D3—104no—
500C22×D3—101no—
501C22×D3—401no—
502C22×D3—401no—
503C2×C3×C4—51no—
504C2×C3×C4—51no—
505C2×C3×C4—51no—
506C2×C3×C4—101no—
507C2×C3×C4—101no—
508C2×C3×C4D4×D511yescharacteristic
509C2×C3×C4D4×D511yescharacteristic
510C2×C3×C4C23×D511yescharacteristic
511#67—401no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—101no—
515C2×Dic3—101no—
516C2×Dic3—101no—
517D12—21no—
518D12—21no—
519D12—21no—
520D12—52no—
521D12—104no—
522D12—101no—
523D12#71112yes—
524C4×D3—81no—
525C4×D3—401no—
526C4×D3—401no—
527C4×D3—401no—
528C4×D3—401no—
529Dic6—21no—
530Dic6—21no—
531Dic6—401no—
532C3×C8—21no—
533C3×C8—21no—
534C3×C8—101no—
535C3×C8—101no—
536C22×C5—62no—
537C22×C5—121no—
538C22×C5—121no—
539C22×C5—121no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5C22×D1211yescharacteristic
543C2×D5—21no—
544C2×D5—21no—
545C2×D5—21no—
546C2×D5—62no—
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—244no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—121no—
553C4×C5—121no—
554C4×C5D3×#4111yescharacteristic
555C4×C5D3×#4111yescharacteristic
556Dic5—21no—
557Dic5—21no—
558Dic5—21no—
559Dic5—121no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—31no—
564C2×Q8—301no—
565C2×D4—31no—
566C2×D4—31no—
567C2×D4—151no—
568C2×D4—301no—
569C2×D4—302no—
570C2×D4—302no—
571C2×D4—301no—
572C22×C4—51no—
573C22×C4—61no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578SD16—62no—
579SD16—302no—
580D8—62no—
581D8—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8C2×D3×D511yescharacteristic
585C2×C8C2×D3×D511yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—51no—
588C4⋊C4—51no—
589C4⋊C4—151no—
590C4⋊C4—151no—
591C4⋊C4—151no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C22⋊C4—51no—
596C22⋊C4—51no—
597C22⋊C4—61no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—51no—
608C42—301no—
609C42—301no—
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—101no—
613C22×C3—101no—
614C22×C3—101no—
615C22×C3C2×D4×D511yescharacteristic
616C2×D3—22no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—102no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—101no—
629C3×C4—101no—
630C3×C4—101no—
631C3×C4C2×#71111yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—41no—
634Dic3—41no—
635Dic3—201no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—122no—
639C2×C5—241no—
640C2×C5#552411yescharacteristic
641C2×C5#575111yescharacteristic
642C2×C5#575211yescharacteristic
643D5—41no—
644D5—122no—
645C23—51no—
646C23—61no—
647C23—61no—
648C23—304no—
649C23—301no—
650C23—1201no—
651C23—1201no—
652Q8—61no—
653Q8—61no—
654Q8—1201no—
655D4—32no—
656D4—61no—
657D4—61no—
658D4—61no—
659D4—152no—
660D4—304no—
661D4—301no—
662D4—1201no—
663C2×C4—51no—
664C2×C4—51no—
665C2×C4—51no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—101no—
669C2×C4—101no—
670C2×C4—241no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4D5×D1211yescharacteristic
679C2×C4D5×D1211yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—21no—
682C8—21no—
683C8—101no—
684C8—101no—
685C2×C3—201no—
686C2×C3#6594011yescharacteristic
687C2×C3#6610411yescharacteristic
688C2×C3#6610811yescharacteristic
689D3—42no—
690D3—81no—
691D3—202no—
692C5#7938311yescharacteristic, complemented, Sylow
693C22—62no—
694C22—101no—
695C22—101no—
696C22—101no—
697C22—121no—
698C22—121no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22—302no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D5×D1211yescharacteristic
707C4—21no—
708C4—21no—
709C4—101no—
710C4—101no—
711C4—101no—
712C4—121no—
713C4—121no—
714C4—601no—
715C4—601no—
716C4—601no—
717C4D3×#71111yescharacteristic
718C4#9203411yescharacteristic
719C3#1061224011yescharacteristic, complemented, Sylow
720C2—122no—
721C2—201no—
722C2—241no—
723C2—602no—
724C2#1175387311yescharacteristic
725C2#1175396211yescharacteristic
726C2#1175402411yescharacteristic
subgroupG/H
centerC22C2×D5×D12
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C4⋊C8C22
socleC22×C3×C5C22×D4
prime radical#11748116C2
hypercenterC4⋊C8D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #11752725C2semidirect
2. #11752717C2semidirect
3. #11750943C2semidirect
4. C5×#4844C2semidirect
5. C3×#65129C2semidirect
7. #11748114C2semidirect
8. #11747906C2semidirect
9. #11747775C2semidirect
10. Dic5×#204C2semidirect
11. #11747748C2semidirect
12. #11747745C2semidirect
13. #11747675C2semidirect
14. #11747046C2semidirect
15. #11746964C2semidirect
19. #91758C22semidirect
22. C5×#875C22semidirect
34. Dic5×D12C22semidirect
39. Dic5×Dic6C22semidirect
42. C3×C5×C4⋊C8C22semidirect
45. #91101C22semidirect
46. #91101C22semidirect
47. C5×#821C22semidirect
48. C5×#816C22semidirect
51. C3×#3947C22semidirect
52. C3×C8×Dic5C22semidirect
53. C3×C4⋊#168C22semidirect
54. #90988C22semidirect
55. #90988C22semidirect
56. #90973C22semidirect
59. #90967C22semidirect
71. #65129D3semidirect
130. #4844D5semidirect
165. C5×C4⋊C8C2×D3semidirect
178. #3947C2×D3semidirect
179. C8×Dic5C2×D3semidirect
182. C4⋊#168C2×D3semidirect
241. #875C2×D5semidirect
250. C3×C4⋊C8C2×D5semidirect
260. #821C2×D5semidirect
266. #816C2×D5semidirect
476. C4⋊C8D3×D5semidirect
611. C3×C5#3118semidirect
692. C5#79383semidirect
719. C3#10612240semidirect

Maximal subgroups

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

subgroupindex
#117527252
#117527172
#117509432
C5×#48442
C3×#651292
#117481162
#117481142
#117479062
#117477752
Dic5×#2042
#117477482
#117477452
#117476752
#117470462
#117469642
#106122403
#793835