Finite Group Databasebeta

← #14417415

Subgroups — #14417415

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×D15C211yesmaximal, characteristic
2#11756331C211yesmaximal, characteristic, complemented
3#11756304C211yesmaximal, characteristic
4C3×C5×#440C211yesmaximal, characteristic, complemented
5#11751265C211yesmaximal, characteristic, complemented
6C4×#6717C211yesmaximal, characteristic, complemented
7C4×#6716C211yesmaximal, characteristic, complemented
8#11750990C211yesmaximal, characteristic, complemented
9#11750981C211yesmaximal, characteristic, complemented
10#11750903C211yesmaximal, characteristic, complemented
11#11750889C211yesmaximal, characteristic, complemented
12#11750871C211yesmaximal, characteristic
13#11750859C211yesmaximal, characteristic, complemented
14#11750811C211yesmaximal, characteristic, complemented
15#11750809C211yesmaximal, characteristic, complemented
16#10611508—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C2×D4×D15C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20C3×C4×C5×Q8C2211yescharacteristic, complemented
21C3×C4×C5×D4C2211yescharacteristic
22Q8×Dic15C2211yescharacteristic, complemented
23C2×#6717C2211yescharacteristic
24D4×Dic15C2211yescharacteristic
25C2×#6716C2211yescharacteristic
26C4×#1220—21no—
27C2×#6714—21no—
28SD16×D15C418yescomplemented
29C2×#6706C2211yescharacteristic
30C2×#6705C2211yescharacteristic
31C2×C8×D15C2211yescharacteristic
32#91782C2211yescharacteristic
33#91781—21no—
34#91781C2211yescharacteristic
35#91781C2211yescharacteristic
36#91776—21no—
37#91776C2211yescharacteristic, complemented
38#91770—21no—
39C22⋊C4×D15—21no—
40C4×D60C2211yescharacteristic
41#91761—21no—
42#91761C2211yescharacteristic
43C4×Dic30—21no—
44C4×Dic30C2211yescharacteristic, complemented
45C3×C5×#107C2211yescharacteristic, complemented
46C3×C5×#103C2211yescharacteristic, complemented
47C3×C5×#102C2211yescharacteristic
48C3×C5×#97C2211yescharacteristic, complemented
49#91119C2211yescharacteristic, complemented
50#91116C2211yescharacteristic
51#91105C2211yescharacteristic
52#91102C2211yescharacteristic, complemented
53#91100C2211yescharacteristic, complemented
54#91099C2211yescharacteristic, complemented
55C8×Dic15C2211yescharacteristic, complemented
56#91094C2211yescharacteristic, complemented
57#91093C2211yescharacteristic
58#91092C2211yescharacteristic, complemented
59#91092C2211yescharacteristic, complemented
60C4×C3⋊#168C2211yescharacteristic, complemented
61#79777—51nomaximal, Hall
62C2×D5×SD16—31no—
63#65906—31no—
64#65879—31no—
65C5×#440D311yescharacteristic, complemented
66#65453—31no—
67C4×#688—31no—
68C4×#687—31no—
69#65178—31no—
70#65169—31no—
71#65091—31no—
72#65077—31no—
73#65059—31no—
74#65047—31no—
75#64999—31no—
76#64997—31no—
77C23×D15—21no—
78C2×C3×C5×Q8C2311yescharacteristic
79C2×C3×C5×D4C2311yescharacteristic
80C22×C3×C4×C5—21no—
81C2×#1220—21no—
82C22×Dic15—21no—
83Q8×D15—22no—
84Q8×D15C2×C414yescomplemented
85D4×D15—22no—
86D4×D15C2×C414yes—
87C2×D60C2311yescharacteristic
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×C4×D15—21no—
91C2×C4×D15C2311yescharacteristic
92C2×Dic30—21no—
93C2×Dic30C2311yescharacteristic
94C3×C5×SD16C2×C414yescomplemented
95C2×C3×C5×C8C2311yescharacteristic
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4—21no—
98C3×C5×C4⋊C4C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C22⋊C4—21no—
101C3×C42×C5—21no—
102C3×C42×C5C2311yescharacteristic
103#6719—21no—
104#6717C2×C414yescomplemented
105#6716C2×C414yescomplemented
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714D411yescharacteristic
111#6714D411yescharacteristic
112C4⋊Dic15—21no—
113C4⋊Dic15C2311yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115#6712—21no—
116#6712—21no—
117#6712D411yescharacteristic
118#6712D411yescharacteristic
119C4×Dic15—21no—
120C4×Dic15—21no—
121C4×Dic15—21no—
122C4×Dic15—21no—
123C4×Dic15—21no—
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127#6706C2×C414yescomplemented
128#6705—22no—
129C8×D15C2×C414yescomplemented
130C2×D3×SD16—51no—
131#5572—51no—
132#5545—51no—
133C3×#440D511yescharacteristic, complemented
134#5164—51no—
135C4×#215—51no—
136C4×#214—51no—
137#4889—51no—
138#4880—51no—
139#4802—51no—
140#4788—51no—
141#4770—51no—
142#4758—51no—
143#4710—51no—
144#4708—51no—
145C2×Q8×D5—31no—
146C2×D4×D5—31no—
147C2×C5×SD16C2×D311yescharacteristic
148C4×C5×Q8C2×D311yescharacteristic, complemented
149C4×C5×D4C2×D311yescharacteristic
150Q8×Dic5—31no—
151C2×#688—31no—
152D4×Dic5—31no—
153C2×#687—31no—
154C4×C22⋊D5—61no—
155C2×#685—61no—
156D5×SD16—38no—
157C2×#677—31no—
158C2×#676—31no—
159C2×C8×D5—31no—
160#4039—31no—
161#4038—31no—
162#4038—31no—
163#4038—61no—
164#4033—31no—
165#4033—61no—
166#4027—61no—
167D5×C22⋊C4—61no—
168C4×D20—31no—
169#4018—31no—
170#4018—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#107C2×D311yescharacteristic, complemented
174C5×#103C2×D311yescharacteristic, complemented
175C5×#102C2×D311yescharacteristic
176C5×#97C2×D311yescharacteristic, complemented
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3950—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3940—31no—
187#3940—31no—
188C4×#168—31no—
189#2949—151noSylow
190C23×C3×C5—21no—
191C22×D15—21no—
192C22×D15—24no—
193C22×D15—81no—
194C22×D15—81no—
195C22×D15C2×D411yescharacteristic
196C3×C5×Q8—21no—
197C3×C5×Q8C22×C412yes—
198C3×C5×D4—21no—
199C3×C5×D4C22×C412yes—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—21no—
203C2×C3×C4×C5—81no—
204C2×C3×C4×C5C2×D411yescharacteristic
205C2×C3×C4×C5C2×D411yescharacteristic
206C2×C3×C4×C5C2411yescharacteristic
207#1220—24no—
208C2×Dic15—21no—
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15—81no—
212C2×Dic15C2×D411yescharacteristic
213C2×Dic15C2×D411yescharacteristic
214C2×Dic15C2×D411yescharacteristic
215D60—21no—
216D60C22×C412yes—
217C4×D15—24no—
218C4×D15—81no—
219C4×D15—81no—
220C4×D15C22×C412yes—
221C4×D15#4112yes—
222Dic30—21no—
223Dic30—24no—
224Dic30C22×C412yes—
225C3×C5×C8—21no—
226C3×C5×C8C22×C412yes—
227C3⋊#168—21no—
228C3⋊#168C22×C412yes—
229C2×D3×Q8—51no—
230C2×D3×D4—51no—
231C2×C3×SD16C2×D511yescharacteristic
232C3×C4×Q8C2×D511yescharacteristic, complemented
233C3×C4×D4C2×D511yescharacteristic
234Q8×Dic3—51no—
235C2×#215—51no—
236D4×Dic3—51no—
237C2×#214—51no—
238C4×#67—101no—
239C2×(C2×D3)⋊C4—101no—
240D3×SD16—58no—
241C2×#204—51no—
242C2×ΓL(1,𝔽25)—51no—
243C2×D3×C8—51no—
244#893—51no—
245#892—51no—
246#892—51no—
247#892—101no—
248#887—51no—
249#887—101no—
250#67⋊C4—101no—
251D3×C22⋊C4—101no—
252C4×D12—51no—
253#872—51no—
254#872—101no—
255C4×Dic6—51no—
256C4×Dic6—101no—
257C3×#107C2×D511yescharacteristic, complemented
258C3×#103C2×D511yescharacteristic, complemented
259C3×#102C2×D511yescharacteristic
260C3×#97C2×D511yescharacteristic, complemented
261#835—51no—
262#832—51no—
263#821—51no—
264#818—51no—
265#816—51no—
266#815—51no—
267C8×Dic3—51no—
268#810—51no—
269#809—51no—
270#808—51no—
271#808—51no—
272C4×C3⋊C8—51no—
273C23×D5—61no—
274C2×C5×Q8C22×D311yescharacteristic
275C2×C5×D4C22×D311yescharacteristic
276C22×C4×C5—21no—
277C2×C22⋊D5—61no—
278C22×Dic5—61no—
279Q8×D5—34no—
280Q8×D5—62no—
281D4×D5—34no—
282D4×D5—62no—
283C2×D20—31no—
284C2×C4×D5—31no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C2×Dic10—61no—
290C5×SD16C4×D314yescomplemented
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—21no—
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—21no—
297C42×C5—21no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300#688—34no—
301#687—34no—
302#685—31no—
303#685—31no—
304#685—61no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311#683—31no—
312#683—31no—
313#683—61no—
314#683—61no—
315C4×Dic5—31no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168—31no—
323#677—34no—
324#676—62no—
325C8×D5—34no—
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—151no—
330#440—151no—
331#440—151no—
332#440D1511yescharacteristic, complemented
333C4×SD16—151no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—151no—
338#419—151no—
339#418—151no—
340#405—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—21no—
346C2×D15—21no—
347C2×D15—22no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—84no—
351C2×D15C4×D412yes—
352C3×C4×C5—22no—
353C3×C4×C5—21no—
354C3×C4×C5—21no—
355C3×C4×C5—41no—
356C3×C4×C5—41no—
357C3×C4×C5C23×C411yescharacteristic
358C3×C4×C5C2×#4111yescharacteristic
359Dic15—22no—
360Dic15—21no—
361Dic15—21no—
362Dic15—41no—
363Dic15—41no—
364Dic15C4×D412yes—
365C23×D3—101no—
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4C22×D511yescharacteristic
368C22×C3×C4—21no—
369C2×#67—101no—
370C22×Dic3—101no—
371D3×Q8—54no—
372D3×Q8—102no—
373D3×D4—54no—
374D3×D4—102no—
375C2×D12—51no—
376C2×C4×D3—51no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×Dic6—51no—
381C2×Dic6—101no—
382C3×SD16C4×D514yescomplemented
383C2×C3×C8C22×D511yescharacteristic
384C2×C3×C8C22×D511yescharacteristic
385C3×C4⋊C4—21no—
386C3×C4⋊C4C22×D511yescharacteristic
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—21no—
389C3×C42—21no—
390C3×C42C22×D511yescharacteristic
391#217—101no—
392#215—54no—
393#214—54no—
394(C2×D3)⋊C4—51no—
395(C2×D3)⋊C4—51no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3—101no—
403Dic3⋊C4—51no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407C4×Dic3—51no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8—51no—
415#204—54no—
416ΓL(1,𝔽25)—102no—
417D3×C8—54no—
418C23×C5—21no—
419C22×D5—31no—
420C22×D5—64no—
421C22×D5—61no—
422C22×D5—241no—
423C22×D5—241no—
424C5×Q8—21no—
425C5×Q8C2×C4×D312yes—
426C5×D4—21no—
427C5×D4C2×C4×D312yes—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—21no—
431C2×C4×C5—81no—
432C2×C4×C5D3×D411yescharacteristic
433C2×C4×C5D3×D411yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—64no—
436C2×Dic5—31no—
437C2×Dic5—31no—
438C2×Dic5—31no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442C2×Dic5—241no—
443D20—32no—
444D20—61no—
445C4×D5—32no—
446C4×D5—32no—
447C4×D5—64no—
448C4×D5—241no—
449C4×D5—241no—
450Dic10—32no—
451Dic10—64no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8C2×C4×D312yes—
455#168—32no—
456#168—61no—
457C22×Q8—151no—
458C22×D4—151no—
459C2×SD16—151no—
460C2×SD16—151no—
461C2×SD16—158no—
462C2×SD16—151no—
463C2×SD16C2×D1511yescharacteristic
464C2×M16—151no—
465C22×C8—151no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×Q8—301no—
470C4×Q8—301no—
471C4×Q8C2×D1511yescharacteristic, complemented
472C4×D4—151no—
473C4×D4—151no—
474C4×D4—151no—
475C4×D4—301no—
476C4×D4—301no—
477C4×D4C2×D1511yescharacteristic
478#117—151no—
479#117—151no—
480#117—151no—
481#117—301no—
482#117—301no—
483C2×C22⋊C4—301no—
484C2×C22⋊C4—301no—
485#107—151no—
486#107C2×D1511yescharacteristic, complemented
487#106—151no—
488#106—151no—
489#103—151no—
490#103—151no—
491#103—151no—
492#103C2×D1511yescharacteristic, complemented
493#102—151no—
494#102—151no—
495#102—151no—
496#102C2×D1511yescharacteristic
497#97—151no—
498#97C2×D1511yescharacteristic, complemented
499C4×C8—151no—
500C4×C8—151no—
501C2×C3×C5—42no—
502C2×C3×C5C2×C4×D411yescharacteristic
503C2×C3×C5#57711yescharacteristic
504C2×C3×C5#57711yescharacteristic
505D15—22no—
506D15—42no—
507C23×C3—21no—
508C22×D3—51no—
509C22×D3—104no—
510C22×D3—101no—
511C22×D3—401no—
512C22×D3—401no—
513C3×Q8—21no—
514C3×Q8C2×C4×D512yes—
515C3×D4—21no—
516C3×D4C2×C4×D512yes—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4—21no—
520C2×C3×C4—81no—
521C2×C3×C4D4×D511yescharacteristic
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—104no—
525C2×Dic3—51no—
526C2×Dic3—51no—
527C2×Dic3—51no—
528C2×Dic3—101no—
529C2×Dic3—101no—
530C2×Dic3—101no—
531C2×Dic3—401no—
532D12—52no—
533D12—101no—
534C4×D3—52no—
535C4×D3—52no—
536C4×D3—104no—
537C4×D3—401no—
538C4×D3—401no—
539Dic6—52no—
540Dic6—104no—
541Dic6—101no—
542C3×C8—21no—
543C3×C8C2×C4×D512yes—
544C3⋊C8—52no—
545C3⋊C8—101no—
546C22×C5—22no—
547C22×C5—41no—
548C22×C5—41no—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—32no—
551C2×D5—61no—
552C2×D5—61no—
553C2×D5—62no—
554C2×D5—121no—
555C2×D5—121no—
556C2×D5—244no—
557C4×C5—21no—
558C4×C5—21no—
559C4×C5—22no—
560C4×C5—41no—
561C4×C5—41no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5D3×#4111yescharacteristic
564Dic5—32no—
565Dic5—61no—
566Dic5—61no—
567Dic5—62no—
568Dic5—121no—
569Dic5—121no—
570C24—301no—
571C2×Q8—154no—
572C2×Q8—151no—
573C2×Q8—301no—
574C2×Q8—302no—
575C2×Q8C22×D1511yescharacteristic
576C2×D4—154no—
577C2×D4—151no—
578C2×D4—302no—
579C2×D4—301no—
580C2×D4C22×D1511yescharacteristic
581C22×C4—21no—
582C22×C4—151no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587SD16—154no—
588SD16—154no—
589SD16—154no—
590SD16C4×D1514yescomplemented
591M16—302no—
592C2×C8—151no—
593C2×C8—154no—
594C2×C8—151no—
595C2×C8C22×D1511yescharacteristic
596C2×C8C22×D1511yescharacteristic
597C4⋊C4—21no—
598C4⋊C4—151no—
599C4⋊C4—151no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C4⋊C4C22×D1511yescharacteristic
606C4⋊C4C22×D1511yescharacteristic
607C22⋊C4—21no—
608C22⋊C4—151no—
609C22⋊C4—151no—
610C22⋊C4—301no—
611C22⋊C4—301no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—21no—
616C42—151no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42C22×D1511yescharacteristic
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—22no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3C2×D4×D511yescharacteristic
628C2×D3—52no—
629C2×D3—101no—
630C2×D3—101no—
631C2×D3—102no—
632C2×D3—201no—
633C2×D3—201no—
634C2×D3—404no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—22no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—52no—
643Dic3—101no—
644Dic3—101no—
645Dic3—102no—
646Dic3—201no—
647Dic3—201no—
648C2×C5—42no—
649C2×C5C4×D3×D411yescharacteristic
650C2×C5#577511yescharacteristic
651C2×C5#577811yescharacteristic
652D5—62no—
653D5—122no—
654C23—21no—
655C23—151no—
656C23—304no—
657C23—301no—
658C23—1201no—
659C23—1201no—
660Q8—21no—
661Q8—152no—
662Q8—304no—
663Q8—301no—
664Q8C2×C4×D1512yes—
665D4—21no—
666D4—152no—
667D4—304no—
668D4—301no—
669D4C2×C4×D1512yes—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—81no—
674C2×C4—151no—
675C2×C4—152no—
676C2×C4—152no—
677C2×C4—151no—
678C2×C4—151no—
679C2×C4—304no—
680C2×C4—301no—
681C2×C4—301no—
682C2×C4—301no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4—1201no—
686C2×C4D4×D1511yescharacteristic
687C2×C4D4×D1511yescharacteristic
688C2×C4C23×D1511yescharacteristic
689C8—21no—
690C8—152no—
691C8—301no—
692C8C2×C4×D1512yes—
693C2×C3—42no—
694C2×C3C4×D4×D511yescharacteristic
695C2×C3#6610911yescharacteristic
696C2×C3#6611211yescharacteristic
697D3—102no—
698D3—202no—
699C5#7977711yescharacteristic, complemented, Sylow
700C22—22no—
701C22—41no—
702C22—41no—
703C22—152no—
704C22—301no—
705C22—301no—
706C22—302no—
707C22—601no—
708C22—601no—
709C22—1204no—
710C22C2×D4×D1511yescharacteristic
711C4—22no—
712C4—21no—
713C4—21no—
714C4—41no—
715C4—41no—
716C4—152no—
717C4—302no—
718C4—301no—
719C4—301no—
720C4—601no—
721C4—601no—
722C4C22×C4×D1511yescharacteristic
723C4#41×D1511yescharacteristic
724C3#1061150811yescharacteristic, complemented, Sylow
725C2—42no—
726C2—302no—
727C2—602no—
728C2C4×D4×D1511yescharacteristic
729C2#1175653411yescharacteristic
730C2#1175653711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C23×D15
FittingC3×C5×#440C2
socleC22×C3×C5C22×D4
prime radicalC2×D4×D15C22
cosocleC2×C3×C4×C5C24
hypercenter#440D15
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #440

Complements

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

NH ≅ G/Ntype
2. #11756331C2semidirect
4. C3×C5×#440C2semidirect
5. #11751265C2semidirect
6. C4×#6717C2semidirect
7. C4×#6716C2semidirect
8. #11750990C2semidirect
9. #11750981C2semidirect
10. #11750903C2semidirect
11. #11750889C2semidirect
13. #11750859C2semidirect
14. #11750811C2semidirect
15. #11750809C2semidirect
20. C3×C4×C5×Q8C22semidirect
22. Q8×Dic15C22semidirect
28. SD16×D15C4semidirect
37. #91776C22semidirect
44. C4×Dic30C22semidirect
45. C3×C5×#107C22semidirect
46. C3×C5×#103C22semidirect
48. C3×C5×#97C22semidirect
49. #91119C22semidirect
52. #91102C22semidirect
53. #91100C22semidirect
54. #91099C22semidirect
55. C8×Dic15C22semidirect
56. #91094C22semidirect
58. #91092C22semidirect
59. #91092C22semidirect
60. C4×C3⋊#168C22semidirect
65. C5×#440D3semidirect
84. Q8×D15C2×C4semidirect
94. C3×C5×SD16C2×C4semidirect
104. #6717C2×C4semidirect
105. #6716C2×C4semidirect
127. #6706C2×C4semidirect
129. C8×D15C2×C4semidirect
133. C3×#440D5semidirect
148. C4×C5×Q8C2×D3semidirect
173. C5×#107C2×D3semidirect
174. C5×#103C2×D3semidirect
176. C5×#97C2×D3semidirect
232. C3×C4×Q8C2×D5semidirect
257. C3×#107C2×D5semidirect
258. C3×#103C2×D5semidirect
260. C3×#97C2×D5semidirect
290. C5×SD16C4×D3semidirect
332. #440D15semidirect
382. C3×SD16C4×D5semidirect
471. C4×Q8C2×D15semidirect
486. #107C2×D15semidirect
492. #103C2×D15semidirect
498. #97C2×D15semidirect
590. SD16C4×D15semidirect
623. C3×C5#2949semidirect
699. C5#79777semidirect
724. C3#10611508semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×D152
#117563312
#117563042
C3×C5×#4402
#117512652
C4×#67172
C4×#67162
#117509902
#117509812
#117509032
#117508892
#117508712
#117508592
#117508112
#117508092
#106115083
#797775