Finite Group Databasebeta

← #14458877

Subgroups — #14458877

Order 1920.

840 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756371C211yesmaximal, characteristic, complemented
2#11756289C211yesmaximal, characteristic, complemented
3C3×C5×#482C211yesmaximal, characteristic, complemented
4#11751139C211yesmaximal, characteristic, complemented
5#11751103C211yesmaximal, characteristic, complemented
6#11750985C211yesmaximal, characteristic, complemented
7#11750973C211yesmaximal, characteristic, complemented
8#11750972C211yesmaximal, characteristic, complemented
9#11750965C211yesmaximal, characteristic, complemented
10#11750888C211yesmaximal, characteristic, complemented
11#11750874C211yesmaximal, characteristic, complemented
12D15×#102C211yesmaximal, characteristic, complemented
13#11750869C211yesmaximal, characteristic, complemented
14#11750835C211yesmaximal, characteristic, complemented
15#11750826C211yesmaximal, characteristic, complemented
16#10613113—31nomaximal, Hall
17C2×D4×D15C2211yescharacteristic
18C2×#6817C2211yescharacteristic
19C3×C5×#121C2211yescharacteristic
20C3×C5×#117C2211yescharacteristic, complemented
21#91827—21no—
22#91826—21no—
23#91825C2211yescharacteristic
24C2×#6715C2211yescharacteristic
25#91819C2211yescharacteristic, complemented
26C4×#1220C2211yescharacteristic
27C22×C3⋊#168C2211yescharacteristic, complemented
28C2×D120C2211yescharacteristic
29C2×#6706C2211yescharacteristic, complemented
30C2×C8×D15C2211yescharacteristic
31#91786C2211yescharacteristic
32#91784C2211yescharacteristic
33#91782C2211yescharacteristic
34#91782C2211yescharacteristic, complemented
35C4⋊C4×D15C2211yescharacteristic
36#91779C2211yescharacteristic, complemented
37#91773—21no—
38#91772—21no—
39#91772—21no—
40C22⋊C4×D15—21no—
41#91765—21no—
42C4×D60—21no—
43C3×C5×#107C2211yescharacteristic, complemented
44C3×C5×#106C2211yescharacteristic, complemented
45C3×C5×#102C2211yescharacteristic
46C3×C5×#102C2211yescharacteristic
47C3×C5×C22⋊C8C2211yescharacteristic, complemented
48#91116C2211yescharacteristic
49#91105C2211yescharacteristic
50#91104C2211yescharacteristic
51#91100C2211yescharacteristic, complemented
52#91098C2211yescharacteristic, complemented
53C8×Dic15C2211yescharacteristic, complemented
54#91094C2211yescharacteristic, complemented
55#91094C2211yescharacteristic, complemented
56#91093C2211yescharacteristic
57#91093C2211yescharacteristic
58#91093C2211yescharacteristic, complemented
59#91091C2211yescharacteristic, complemented
60#81382—51nomaximal, Hall
61#65946—31no—
62#65864—31no—
63C5×#482D311yescharacteristic, complemented
64#65327—31no—
65#65291—31no—
66#65173—31no—
67#65161—31no—
68#65160—31no—
69#65153—31no—
70#65076—31no—
71#65062—31no—
72D5×#102—31no—
73#65057—31no—
74#65023—31no—
75#65014—31no—
76C23×D15—21no—
77C2×C3×C5×D4—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5C2311yescharacteristic
80C2×#1220—21no—
81C2×#1220—21no—
82C2×#1220—21no—
83C2×#1220D411yescharacteristic
84D4×D15—22no—
85D4×D15—41no—
86#6817—22no—
87#6817—41no—
88C2×D60—21no—
89C2×D60C2311yescharacteristic
90C2×D60C2311yescharacteristic
91C2×C4×D15—21no—
92C2×C4×D15—21no—
93C2×C4×D15—21no—
94C2×C4×D15—21no—
95C2×C4×D15C2311yescharacteristic
96C2×Dic30C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C2×C3×C5×C8C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C4⋊C4C2311yescharacteristic
101C3×C5×C4⋊C4C2311yescharacteristic
102C3×C5×C22⋊C4—21no—
103C3×C5×C22⋊C4—21no—
104C3×C42×C5—21no—
105#6719—21no—
106#6719—21no—
107#6719D411yescharacteristic
108#6715—41no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112#6714—21no—
113#6714—21no—
114#6714D411yescharacteristic
115C4⋊Dic15—21no—
116C4⋊Dic15—21no—
117C4⋊Dic15C2311yescharacteristic
118#6712—21no—
119#6712—21no—
120#6712D411yescharacteristic
121C4×Dic15C2311yescharacteristic
122C2×C3⋊#168—41no—
123C2×C3⋊#168C2311yescharacteristic
124C2×C3⋊#168C2311yescharacteristic
125D120—22no—
126#6706—41no—
127C8×D15—41no—
128#5612—51no—
129#5530—51no—
130C3×#482D511yescharacteristic, complemented
131#5038—51no—
132#5002—51no—
133#4884—51no—
134#4872—51no—
135#4871—51no—
136#4864—51no—
137#4787—51no—
138#4773—51no—
139D3×#102—51no—
140#4768—51no—
141#4734—51no—
142#67⋊C8—51no—
143C2×D4×D5—31no—
144C2×#709—31no—
145C5×#121C2×D311yescharacteristic
146C5×#117C2×D311yescharacteristic, complemented
147#4084—61no—
148#4083—61no—
149#4082—31no—
150C2×#686—31no—
151#4076—31no—
152C4×C22⋊D5—31no—
153C22×#168—31no—
154C2×D40—31no—
155C2×#677—31no—
156C2×C8×D5—31no—
157#4043—31no—
158#4041—31no—
159#4039—31no—
160#4039—31no—
161D5×C4⋊C4—31no—
162#4036—31no—
163#4030—61no—
164#4029—61no—
165#4029—61no—
166D5×C22⋊C4—61no—
167#4022—61no—
168C4×D20—61no—
169C5×#107C2×D311yescharacteristic, complemented
170C5×#106C2×D311yescharacteristic, complemented
171C5×#102C2×D311yescharacteristic
172C5×#102C2×D311yescharacteristic
173C5×C22⋊C8C2×D311yescharacteristic, complemented
174#3964—31no—
175#3953—31no—
176#3952—31no—
177#3948—31no—
178#3946—31no—
179C8×Dic5—31no—
180#3942—31no—
181#3942—31no—
182#3941—31no—
183#3941—31no—
184#3941—31no—
185#3939—31no—
186#3297—151noSylow
187C23×C3×C5—21no—
188C23×C3×C5C2×D411yescharacteristic
189C22×D15—21no—
190C22×D15—21no—
191C22×D15—42no—
192C22×D15—42no—
193C22×D15—81no—
194C22×D15C2×D411yescharacteristic
195C3×C5×D4—21no—
196C3×C5×D4—21no—
197C3×C5×D4—81no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—21no—
203C2×C3×C4×C5C2×D411yescharacteristic
204C2×C3×C4×C5C2411yescharacteristic
205#1220—22no—
206#1220—42no—
207#1220—42no—
208#1220—81no—
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15C2×D411yescharacteristic
212C2×Dic15C2×D411yescharacteristic
213C2×Dic15C2×D411yescharacteristic
214D60—21no—
215D60—21no—
216D60—21no—
217D60—42no—
218D60#4112yes—
219C4×D15—21no—
220C4×D15—21no—
221C4×D15—42no—
222C4×D15—81no—
223C4×D15—81no—
224C4×D15—81no—
225Dic30—21no—
226Dic30—21no—
227C3×C5×C8—21no—
228C3×C5×C8—21no—
229C3⋊#168—21no—
230C3⋊#168—21no—
231C2×D3×D4—51no—
232C2×#235—51no—
233C3×#121C2×D511yescharacteristic
234C3×#117C2×D511yescharacteristic, complemented
235#938—101no—
236#937—101no—
237#936—51no—
238C2×#213—51no—
239#930—51no—
240C4×#67—51no—
241C22×C3⋊C8—51no—
242C2×D24—51no—
243C2×#204—51no—
244C2×D3×C8—51no—
245#897—51no—
246#895—51no—
247#893—51no—
248#893—51no—
249D3×C4⋊C4—51no—
250#890—51no—
251#884—101no—
252#883—101no—
253#883—101no—
254D3×C22⋊C4—101no—
255#876—101no—
256C4×D12—101no—
257C3×#107C2×D511yescharacteristic, complemented
258C3×#106C2×D511yescharacteristic, complemented
259C3×#102C2×D511yescharacteristic
260C3×#102C2×D511yescharacteristic
261C3×C22⋊C8C2×D511yescharacteristic, complemented
262#832—51no—
263#821—51no—
264(C2×D3)⋊C8—51no—
265#816—51no—
266Dic3⋊C8—51no—
267C8×Dic3—51no—
268#810—51no—
269#810—51no—
270#809—51no—
271#809—51no—
272#809—51no—
273#807—51no—
274C23×D5—61no—
275C2×C5×D4—21no—
276C2×C5×D4C22×D311yescharacteristic
277C22×C4×C5C22×D311yescharacteristic
278C2×C22⋊D5—31no—
279C2×C22⋊D5—61no—
280C2×C22⋊D5—61no—
281C2×C22⋊D5—61no—
282D4×D5—62no—
283D4×D5—121no—
284#709—62no—
285#709—121no—
286C2×D20—31no—
287C2×D20—31no—
288C2×D20—61no—
289C2×C4×D5—31no—
290C2×C4×D5—61no—
291C2×C4×D5—61no—
292C2×C4×D5—61no—
293C2×C4×D5—61no—
294C2×Dic10—31no—
295C2×C5×C8C22×D311yescharacteristic
296C2×C5×C8C22×D311yescharacteristic
297C5×C4⋊C4C22×D311yescharacteristic
298C5×C4⋊C4C22×D311yescharacteristic
299C5×C4⋊C4C22×D311yescharacteristic
300C5×C22⋊C4—21no—
301C5×C22⋊C4—21no—
302C42×C5—21no—
303C22⋊Dic5—31no—
304C22⋊Dic5—61no—
305C22⋊Dic5—61no—
306#686—121no—
307#685—31no—
308#685—61no—
309#685—61no—
310#685—61no—
311#685—61no—
312#685—61no—
313C4⋊Dic5—31no—
314C4⋊Dic5—61no—
315C4⋊Dic5—61no—
316#683—31no—
317#683—61no—
318#683—61no—
319C4×Dic5—31no—
320C2×#168—31no—
321C2×#168—31no—
322C2×#168—121no—
323D40—62no—
324#677—121no—
325C8×D5—121no—
326#553—151no—
327#546—151no—
328#488—151no—
329#484—151no—
330#482D1511yescharacteristic, complemented
331#478—151no—
332#466—151no—
333#465—151no—
334#463—151no—
335#449—151no—
336#447—151no—
337C4×D8—151no—
338C8×D4—151no—
339#416—151no—
340C2×#102—151no—
341C22×C3×C5—21no—
342C22×C3×C5—21no—
343C22×C3×C5—21no—
344C22×C3×C5—41no—
345C22×C3×C5—41no—
346C22×C3×C5—41no—
347C22×C3×C5C22×D411yescharacteristic
348C2×D15—21no—
349C2×D15—21no—
350C2×D15—22no—
351C2×D15—41no—
352C2×D15—41no—
353C2×D15—41no—
354C2×D15—41no—
355C2×D15—41no—
356C2×D15—84no—
357C2×D15#13512yes—
358C3×C4×C5—21no—
359C3×C4×C5—41no—
360C3×C4×C5—41no—
361C3×C4×C5—41no—
362C3×C4×C5C2×#4111yescharacteristic
363C3×C4×C5H(5,𝔽2)11yescharacteristic
364Dic15—21no—
365Dic15—21no—
366Dic15—21no—
367Dic15—41no—
368Dic15—41no—
369C23×D3—101no—
370C2×C3×D4—21no—
371C2×C3×D4C22×D511yescharacteristic
372C22×C3×C4C22×D511yescharacteristic
373C2×#67—51no—
374C2×#67—101no—
375C2×#67—101no—
376C2×#67—101no—
377D3×D4—102no—
378D3×D4—201no—
379#235—102no—
380#235—201no—
381C2×D12—51no—
382C2×D12—51no—
383C2×D12—101no—
384C2×C4×D3—51no—
385C2×C4×D3—101no—
386C2×C4×D3—101no—
387C2×C4×D3—101no—
388C2×C4×D3—101no—
389C2×Dic6—51no—
390C2×C3×C8C22×D511yescharacteristic
391C2×C3×C8C22×D511yescharacteristic
392C3×C4⋊C4C22×D511yescharacteristic
393C3×C4⋊C4C22×D511yescharacteristic
394C3×C4⋊C4C22×D511yescharacteristic
395C3×C22⋊C4—21no—
396C3×C22⋊C4—21no—
397C3×C42—21no—
398#217—51no—
399#217—101no—
400#217—101no—
401#213—201no—
402(C2×D3)⋊C4—51no—
403(C2×D3)⋊C4—101no—
404(C2×D3)⋊C4—101no—
405(C2×D3)⋊C4—101no—
406(C2×D3)⋊C4—101no—
407(C2×D3)⋊C4—101no—
408C4⋊Dic3—51no—
409C4⋊Dic3—101no—
410C4⋊Dic3—101no—
411Dic3⋊C4—51no—
412Dic3⋊C4—101no—
413Dic3⋊C4—101no—
414C4×Dic3—51no—
415C2×C3⋊C8—51no—
416C2×C3⋊C8—51no—
417C2×C3⋊C8—201no—
418D24—102no—
419#204—201no—
420D3×C8—201no—
421C23×C5—21no—
422C23×C5D3×D411yescharacteristic
423C22×D5—31no—
424C22×D5—61no—
425C22×D5—61no—
426C22×D5—122no—
427C22×D5—122no—
428C22×D5—241no—
429C5×D4—21no—
430C5×D4—21no—
431C5×D4—81no—
432C2×C4×C5—21no—
433C2×C4×C5—21no—
434C2×C4×C5—21no—
435C2×C4×C5—21no—
436C2×C4×C5—21no—
437C2×C4×C5D3×D411yescharacteristic
438C2×C4×C5C23×D311yescharacteristic
439C22⋊D5—62no—
440C22⋊D5—122no—
441C22⋊D5—122no—
442C22⋊D5—241no—
443C2×Dic5—31no—
444C2×Dic5—31no—
445C2×Dic5—31no—
446C2×Dic5—61no—
447C2×Dic5—61no—
448D20—32no—
449D20—61no—
450D20—61no—
451D20—61no—
452D20—122no—
453C4×D5—61no—
454C4×D5—61no—
455C4×D5—122no—
456C4×D5—241no—
457C4×D5—241no—
458C4×D5—241no—
459Dic10—61no—
460Dic10—61no—
461C5×C8—21no—
462C5×C8—21no—
463#168—61no—
464#168—61no—
465C2×#41—151no—
466C22×D4—151no—
467C2×SD16—151no—
468C2×D8—151no—
469C2×D8—151no—
470C22×C8—151no—
471C22×C8—151no—
472#126—301no—
473#125—151no—
474#124—151no—
475#123—301no—
476#123—301no—
477C22⋊Q8—151no—
478#121—151no—
479#121—151no—
480#121—301no—
481#121—301no—
482#121C2×D1511yescharacteristic
483#120—301no—
484C4×D4—151no—
485C4×D4—151no—
486C4×D4—151no—
487C4×D4—301no—
488#117C2×D1511yescharacteristic, complemented
489C2×C4⋊C4—151no—
490C2×C22⋊C4—301no—
491#107—151no—
492#107C2×D1511yescharacteristic, complemented
493#106C2×D1511yescharacteristic, complemented
494C4⋊C8—151no—
495#103—151no—
496#103—151no—
497#103—151no—
498#102—151no—
499#102—151no—
500#102—151no—
501#102—151no—
502#102—151no—
503#102C2×D1511yescharacteristic
504#102C2×D1511yescharacteristic
505C22⋊C8—151no—
506C22⋊C8C2×D1511yescharacteristic, complemented
507C4×C8—151no—
508C2×C3×C5—41no—
509C2×C3×C5—81no—
510C2×C3×C5#54611yescharacteristic
511C2×C3×C5C2×#13511yescharacteristic
512C2×C3×C5#57611yescharacteristic
513D15—22no—
514D15—42no—
515D15—81no—
516C23×C3—21no—
517C23×C3D4×D511yescharacteristic
518C22×D3—51no—
519C22×D3—101no—
520C22×D3—101no—
521C22×D3—202no—
522C22×D3—202no—
523C22×D3—401no—
524C3×D4—21no—
525C3×D4—21no—
526C3×D4—81no—
527C2×C3×C4—21no—
528C2×C3×C4—21no—
529C2×C3×C4—21no—
530C2×C3×C4—21no—
531C2×C3×C4—21no—
532C2×C3×C4D4×D511yescharacteristic
533C2×C3×C4C23×D511yescharacteristic
534#67—102no—
535#67—202no—
536#67—202no—
537#67—401no—
538C2×Dic3—51no—
539C2×Dic3—51no—
540C2×Dic3—51no—
541C2×Dic3—101no—
542C2×Dic3—101no—
543D12—52no—
544D12—101no—
545D12—101no—
546D12—101no—
547D12—202no—
548C4×D3—101no—
549C4×D3—101no—
550C4×D3—202no—
551C4×D3—401no—
552C4×D3—401no—
553C4×D3—401no—
554Dic6—101no—
555Dic6—101no—
556C3×C8—21no—
557C3×C8—21no—
558C3⋊C8—101no—
559C3⋊C8—101no—
560C22×C5—21no—
561C22×C5—21no—
562C22×C5—21no—
563C22×C5—41no—
564C22×C5—41no—
565C22×C5—41no—
566C22×C5C2×D3×D411yescharacteristic
567C2×D5—32no—
568C2×D5—61no—
569C2×D5—61no—
570C2×D5—62no—
571C2×D5—121no—
572C2×D5—121no—
573C2×D5—121no—
574C2×D5—121no—
575C2×D5—121no—
576C2×D5—244no—
577C4×C5—21no—
578C4×C5—41no—
579C4×C5—41no—
580C4×C5—41no—
581C4×C5D3×#4111yescharacteristic
582C4×C5#100911yescharacteristic
583Dic5—61no—
584Dic5—61no—
585Dic5—61no—
586Dic5—121no—
587Dic5—121no—
588C24—301no—
589#41—302no—
590#41—601no—
591C2×Q8—151no—
592C2×D4—21no—
593C2×D4—151no—
594C2×D4—151no—
595C2×D4—151no—
596C2×D4—301no—
597C2×D4—301no—
598C2×D4—302no—
599C2×D4—301no—
600C2×D4—301no—
601C2×D4—601no—
602C2×D4C22×D1511yescharacteristic
603C22×C4—151no—
604C22×C4—301no—
605C22×C4—301no—
606C22×C4—301no—
607C22×C4—301no—
608C22×C4C22×D1511yescharacteristic
609SD16—601no—
610D8—302no—
611D8—601no—
612C2×C8—151no—
613C2×C8—151no—
614C2×C8—601no—
615C2×C8—601no—
616C2×C8C22×D1511yescharacteristic
617C2×C8C22×D1511yescharacteristic
618C4⋊C4—151no—
619C4⋊C4—151no—
620C4⋊C4—301no—
621C4⋊C4—301no—
622C4⋊C4—301no—
623C4⋊C4—301no—
624C4⋊C4C22×D1511yescharacteristic
625C4⋊C4C22×D1511yescharacteristic
626C4⋊C4C22×D1511yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—151no—
630C22⋊C4—151no—
631C22⋊C4—301no—
632C22⋊C4—301no—
633C22⋊C4—301no—
634C22⋊C4—301no—
635C22⋊C4—301no—
636C22⋊C4—301no—
637C22⋊C4—301no—
638C42—21no—
639C42—151no—
640C3×C5#329711yescharacteristic, complemented, Hall
641C22×C3—21no—
642C22×C3—21no—
643C22×C3—21no—
644C22×C3—41no—
645C22×C3—41no—
646C22×C3—41no—
647C22×C3C2×D4×D511yescharacteristic
648C2×D3—52no—
649C2×D3—101no—
650C2×D3—101no—
651C2×D3—102no—
652C2×D3—201no—
653C2×D3—201no—
654C2×D3—201no—
655C2×D3—201no—
656C2×D3—201no—
657C2×D3—404no—
658C3×C4—21no—
659C3×C4—41no—
660C3×C4—41no—
661C3×C4—41no—
662C3×C4D5×#4111yescharacteristic
663C3×C4#414911yescharacteristic
664Dic3—101no—
665Dic3—101no—
666Dic3—101no—
667Dic3—201no—
668Dic3—201no—
669C2×C5—41no—
670C2×C5—81no—
671C2×C5#565411yescharacteristic
672C2×C5D3×#13511yescharacteristic
673C2×C5#577411yescharacteristic
674D5—62no—
675D5—122no—
676D5—241no—
677C23—21no—
678C23—151no—
679C23—301no—
680C23—301no—
681C23—602no—
682C23—602no—
683C23—1201no—
684C23D4×D1511yescharacteristic
685Q8—301no—
686Q8—301no—
687D4—21no—
688D4—21no—
689D4—81no—
690D4—152no—
691D4—302no—
692D4—301no—
693D4—301no—
694D4—301no—
695D4—602no—
696D4—602no—
697D4—602no—
698D4—1201no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—151no—
705C2×C4—151no—
706C2×C4—151no—
707C2×C4—301no—
708C2×C4—301no—
709C2×C4—301no—
710C2×C4—301no—
711C2×C4—602no—
712C2×C4—1201no—
713C2×C4—1201no—
714C2×C4—1201no—
715C2×C4D4×D1511yescharacteristic
716C2×C4C23×D1511yescharacteristic
717C8—21no—
718C8—21no—
719C8—301no—
720C8—301no—
721C2×C3—41no—
722C2×C3—81no—
723C2×C3#6598811yescharacteristic
724C2×C3D5×#13511yescharacteristic
725C2×C3#6610811yescharacteristic
726D3—102no—
727D3—202no—
728D3—401no—
729C5#8138211yescharacteristic, complemented, Sylow
730C22—21no—
731C22—21no—
732C22—21no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—152no—
737C22—301no—
738C22—301no—
739C22—302no—
740C22—601no—
741C22—601no—
742C22—601no—
743C22—601no—
744C22—601no—
745C22—1204no—
746C22C2×D4×D1511yescharacteristic
747C4—21no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—301no—
752C4—301no—
753C4—301no—
754C4—601no—
755C4—601no—
756C4#41×D1511yescharacteristic
757C4#9210011yescharacteristic
758C3#1061311311yescharacteristic, complemented, Sylow
759C2—41no—
760C2—81no—
761C2—302no—
762C2—602no—
763C2—1201no—
764C2#1175641311yescharacteristic
765C2D15×#13511yescharacteristic
766C2#1175653311yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#482C2
socleC22×C3×C5C22×D4
hypercenter#482D15
hypocenterC3×C5#3297
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #482

Complements

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

NH ≅ G/Ntype
1. #11756371C2semidirect
2. #11756289C2semidirect
3. C3×C5×#482C2semidirect
4. #11751139C2semidirect
5. #11751103C2semidirect
6. #11750985C2semidirect
7. #11750973C2semidirect
8. #11750972C2semidirect
9. #11750965C2semidirect
10. #11750888C2semidirect
11. #11750874C2semidirect
12. D15×#102C2semidirect
13. #11750869C2semidirect
14. #11750835C2semidirect
15. #11750826C2semidirect
20. C3×C5×#117C22semidirect
25. #91819C22semidirect
27. C22×C3⋊#168C22semidirect
29. C2×#6706C22semidirect
34. #91782C22semidirect
36. #91779C22semidirect
43. C3×C5×#107C22semidirect
44. C3×C5×#106C22semidirect
47. C3×C5×C22⋊C8C22semidirect
51. #91100C22semidirect
52. #91098C22semidirect
53. C8×Dic15C22semidirect
54. #91094C22semidirect
55. #91094C22semidirect
58. #91093C22semidirect
59. #91091C22semidirect
63. C5×#482D3semidirect
130. C3×#482D5semidirect
146. C5×#117C2×D3semidirect
169. C5×#107C2×D3semidirect
170. C5×#106C2×D3semidirect
173. C5×C22⋊C8C2×D3semidirect
234. C3×#117C2×D5semidirect
257. C3×#107C2×D5semidirect
258. C3×#106C2×D5semidirect
261. C3×C22⋊C8C2×D5semidirect
330. #482D15semidirect
488. #117C2×D15semidirect
492. #107C2×D15semidirect
493. #106C2×D15semidirect
506. C22⋊C8C2×D15semidirect
640. C3×C5#3297semidirect
729. C5#81382semidirect
758. C3#10613113semidirect

Maximal subgroups

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

subgroupindex
#117563712
#117562892
C3×C5×#4822
#117511392
#117511032
#117509852
#117509732
#117509722
#117509652
#117508882
#117508742
D15×#1022
#117508692
#117508352
#117508262
#106131133
#813825