Finite Group Databasebeta

← #14458592

Subgroups — #14458592

Order 1920.

816 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756588C211yesmaximal, characteristic
2#11756398C211yesmaximal, characteristic, complemented
3C3×C5×#452C211yesmaximal, characteristic, complemented
4#11751334C211yesmaximal, characteristic, complemented
5#11751289C211yesmaximal, characteristic, complemented
6#11751286C211yesmaximal, characteristic, complemented
7#11751270C211yesmaximal, characteristic, complemented
8SD16×Dic15C211yesmaximal, characteristic, complemented
9#11751149C211yesmaximal, characteristic, complemented
10#11750906C211yesmaximal, characteristic, complemented
11#11750901C211yesmaximal, characteristic, complemented
12D15×#102C211yesmaximal, characteristic, complemented
13#11750867C211yesmaximal, characteristic, complemented
14#11750838C211yesmaximal, characteristic, complemented
15#11750826C211yesmaximal, characteristic, complemented
16#10611977—31nomaximal, Hall
17C2×C3×C5×#41C2211yescharacteristic
18C2×D4×D15C2211yescharacteristic
19C2×C3×C5×Q16C2211yescharacteristic, complemented
20C2×C3×C5×SD16C2211yescharacteristic
21C3×C5×C22⋊Q8C2211yescharacteristic, complemented
22#91836C2211yescharacteristic
23#91835C2211yescharacteristic
24#91835C2211yescharacteristic
25Q8×Dic15C2211yescharacteristic, complemented
26C2×#6717C2211yescharacteristic
27#91828—21no—
28#91826—21no—
29D4×Dic15C2211yescharacteristic
30#91819C2211yescharacteristic
31#91818—21no—
32C4×#1220C2211yescharacteristic
33C2×#6714—21no—
34#91815C2211yescharacteristic, complemented
35C22×C3⋊#168C2211yescharacteristic, complemented
36C2×C8×D15C2211yescharacteristic
37#91781—21no—
38C4⋊C4×D15C2211yescharacteristic
39#91779C2211yescharacteristic, complemented
40#91778—21no—
41#91772—21no—
42#91768—21no—
43C3×C5×#103C2211yescharacteristic, complemented
44C3×C5×#102C2211yescharacteristic
45C3×C5×C22⋊C8C2211yescharacteristic, complemented
46#91119C2211yescharacteristic, complemented
47#91119C2211yescharacteristic, complemented
48#91119C2211yescharacteristic, complemented
49#91116C2211yescharacteristic
50#91116C2211yescharacteristic
51#91105C2211yescharacteristic
52#91105C2211yescharacteristic
53#91104C2211yescharacteristic
54#91102C2211yescharacteristic, complemented
55#91101C2211yescharacteristic, complemented
56#91098C2211yescharacteristic, complemented
57C8×Dic15C2211yescharacteristic, complemented
58#91093C2211yescharacteristic
59#91092C2211yescharacteristic, complemented
60#80246—51nomaximal, Hall
61#66163—31no—
62#65973—31no—
63C5×#452D311yescharacteristic, complemented
64#65522—31no—
65#65477—31no—
66#65474—31no—
67#65458—31no—
68SD16×Dic5—31no—
69#65337—31no—
70#65094—31no—
71#65089—31no—
72D5×#102—31no—
73#65055—31no—
74#65026—31no—
75#65014—31no—
76C23×D15—21no—
77C3×C5×#41—22no—
78C3×C5×#41—41no—
79C2×C3×C5×Q8C2311yescharacteristic
80C2×C3×C5×Q8C2311yescharacteristic
81C2×C3×C5×D4—21no—
82C2×C3×C5×D4C2311yescharacteristic
83C22×C3×C4×C5—21no—
84C22×C3×C4×C5C2311yescharacteristic
85C2×#1220—21no—
86C2×#1220—21no—
87C2×#1220D411yescharacteristic
88C22×Dic15—21no—
89D4×D15—22no—
90D4×D15—41no—
91C2×D60C2311yescharacteristic
92C2×C4×D15—21no—
93C2×C4×D15C2311yescharacteristic
94C3×C5×Q16—41no—
95C3×C5×SD16—22no—
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C3×C5×C4⋊C4—21no—
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C22⋊C4—21no—
101#6719—21no—
102#6719—21no—
103#6719D411yescharacteristic
104#6717—41no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714D411yescharacteristic
111C4⋊Dic15—21no—
112C4⋊Dic15—21no—
113C4⋊Dic15C2311yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116#6712—21no—
117#6712—21no—
118#6712—21no—
119#6712—21no—
120#6712D411yescharacteristic
121C4×Dic15—21no—
122C4×Dic15—21no—
123C4×Dic15C2311yescharacteristic
124C2×C3⋊#168—41no—
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127C8×D15—41no—
128#5829—51no—
129#5639—51no—
130C3×#452D511yescharacteristic, complemented
131#5233—51no—
132#5188—51no—
133#5185—51no—
134#5169—51no—
135Dic3×SD16—51no—
136#5048—51no—
137#4805—51no—
138#4800—51no—
139D3×#102—51no—
140#4766—51no—
141#4737—51no—
142#67⋊C8—51no—
143C2×C5×#41C2×D311yescharacteristic
144C2×D4×D5—31no—
145C2×C5×Q16C2×D311yescharacteristic, complemented
146C2×C5×SD16C2×D311yescharacteristic
147C5×C22⋊Q8C2×D311yescharacteristic, complemented
148#4093—31no—
149#4092—31no—
150#4092—31no—
151Q8×Dic5—31no—
152C2×#688—31no—
153#4085—61no—
154#4083—61no—
155D4×Dic5—31no—
156#4076—31no—
157#4075—61no—
158C4×C22⋊D5—31no—
159C2×#685—61no—
160#4072—31no—
161C22×#168—31no—
162C2×C8×D5—31no—
163#4038—61no—
164D5×C4⋊C4—31no—
165#4036—31no—
166#4035—61no—
167#4029—61no—
168#4025—61no—
169C5×#103C2×D311yescharacteristic, complemented
170C5×#102C2×D311yescharacteristic
171C5×C22⋊C8C2×D311yescharacteristic, complemented
172#3967—31no—
173#3967—31no—
174#3967—31no—
175#3964—31no—
176#3964—31no—
177#3953—31no—
178#3953—31no—
179#3952—31no—
180#3950—31no—
181#3949—31no—
182#3946—31no—
183C8×Dic5—31no—
184#3941—31no—
185#3940—31no—
186#3296—151noSylow
187C23×C3×C5—21no—
188C23×C3×C5C2×D411yescharacteristic
189C22×D15—21no—
190C22×D15—42no—
191C22×D15—42no—
192C22×D15—81no—
193C22×D15C2×D411yescharacteristic
194C3×C5×Q8—21no—
195C3×C5×Q8—21no—
196C3×C5×Q8—21no—
197C3×C5×Q8—21no—
198C3×C5×D4—21no—
199C3×C5×D4—42no—
200C3×C5×D4#4112yes—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—21no—
203C2×C3×C4×C5—21no—
204C2×C3×C4×C5—21no—
205C2×C3×C4×C5—21no—
206C2×C3×C4×C5—42no—
207C2×C3×C4×C5C2×D411yescharacteristic
208C2×C3×C4×C5C2411yescharacteristic
209#1220—22no—
210#1220—42no—
211#1220—81no—
212C2×Dic15—21no—
213C2×Dic15—21no—
214C2×Dic15—21no—
215C2×Dic15—81no—
216C2×Dic15C2×D411yescharacteristic
217C2×Dic15C2×D411yescharacteristic
218C2×Dic15C2×D411yescharacteristic
219D60—21no—
220D60—21no—
221C4×D15—21no—
222C4×D15—21no—
223C4×D15—42no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3⋊#168—21no—
227C3⋊#168—21no—
228C2×C3×#41C2×D511yescharacteristic
229C2×D3×D4—51no—
230C2×C3×Q16C2×D511yescharacteristic, complemented
231C2×C3×SD16C2×D511yescharacteristic
232C3×C22⋊Q8C2×D511yescharacteristic, complemented
233#947—51no—
234#946—51no—
235#946—51no—
236Q8×Dic3—51no—
237C2×#215—51no—
238#939—101no—
239#937—101no—
240D4×Dic3—51no—
241#930—51no—
242#929—101no—
243C4×#67—51no—
244C2×(C2×D3)⋊C4—101no—
245#926—51no—
246C22×C3⋊C8—51no—
247C2×D3×C8—51no—
248#892—101no—
249D3×C4⋊C4—51no—
250#890—51no—
251#889—101no—
252#883—101no—
253#879—101no—
254C3×#103C2×D511yescharacteristic, complemented
255C3×#102C2×D511yescharacteristic
256C3×C22⋊C8C2×D511yescharacteristic, complemented
257#835—51no—
258#835—51no—
259#835—51no—
260#832—51no—
261#832—51no—
262#821—51no—
263#821—51no—
264(C2×D3)⋊C8—51no—
265#818—51no—
266#817—51no—
267Dic3⋊C8—51no—
268C8×Dic3—51no—
269#809—51no—
270#808—51no—
271C23×D5—61no—
272C5×#41—22no—
273C5×#41—41no—
274C2×C5×Q8C22×D311yescharacteristic
275C2×C5×Q8C22×D311yescharacteristic
276C2×C5×D4—21no—
277C2×C5×D4C22×D311yescharacteristic
278C22×C4×C5—21no—
279C22×C4×C5C22×D311yescharacteristic
280C2×C22⋊D5—31no—
281C2×C22⋊D5—61no—
282C2×C22⋊D5—61no—
283C22×Dic5—61no—
284D4×D5—62no—
285D4×D5—121no—
286C2×D20—31no—
287C2×C4×D5—31no—
288C2×C4×D5—61no—
289C5×Q16—41no—
290C5×SD16—22no—
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—21no—
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C22⋊C4—21no—
296C22⋊Dic5—31no—
297C22⋊Dic5—61no—
298C22⋊Dic5—61no—
299#688—121no—
300#685—31no—
301#685—61no—
302#685—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306C4⋊Dic5—31no—
307C4⋊Dic5—31no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5—61no—
311#683—31no—
312#683—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316C4×Dic5—31no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C2×#168—31no—
320C2×#168—31no—
321C2×#168—121no—
322C8×D5—121no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467—151no—
330#465—151no—
331#464—151no—
332#452D1511yescharacteristic, complemented
333#450—151no—
334C4×SD16—151no—
335C8×D4—151no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—22no—
339C22×C3×C5—21no—
340C22×C3×C5—21no—
341C22×C3×C5—21no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—21no—
346C2×D15—21no—
347C2×D15—41no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—84no—
351C2×D15#13512yes—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5—41no—
355C3×C4×C5—41no—
356C3×C4×C5C2×#4111yescharacteristic
357C3×C4×C5H(5,𝔽2)11yescharacteristic
358Dic15—21no—
359Dic15—21no—
360Dic15—21no—
361Dic15—41no—
362Dic15—41no—
363Dic15—41no—
364C23×D3—101no—
365C3×#41—22no—
366C3×#41—41no—
367C2×C3×Q8C22×D511yescharacteristic
368C2×C3×Q8C22×D511yescharacteristic
369C2×C3×D4—21no—
370C2×C3×D4C22×D511yescharacteristic
371C22×C3×C4—21no—
372C22×C3×C4C22×D511yescharacteristic
373C2×#67—51no—
374C2×#67—101no—
375C2×#67—101no—
376C22×Dic3—101no—
377D3×D4—102no—
378D3×D4—201no—
379C2×D12—51no—
380C2×C4×D3—51no—
381C2×C4×D3—101no—
382C3×Q16—41no—
383C3×SD16—22no—
384C2×C3×C8C22×D511yescharacteristic
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—21no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—21no—
389#217—51no—
390#217—101no—
391#217—101no—
392#215—201no—
393(C2×D3)⋊C4—51no—
394(C2×D3)⋊C4—101no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3—101no—
403C4⋊Dic3—101no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409C4×Dic3—51no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8—201no—
415D3×C8—201no—
416C23×C5—21no—
417C23×C5D3×D411yescharacteristic
418C22×D5—31no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×Q8—21no—
424C5×Q8—21no—
425C5×Q8—21no—
426C5×Q8—21no—
427C5×D4—21no—
428C5×D4—42no—
429C5×D4#23712yes—
430C2×C4×C5—21no—
431C2×C4×C5—21no—
432C2×C4×C5—21no—
433C2×C4×C5—21no—
434C2×C4×C5—21no—
435C2×C4×C5—42no—
436C2×C4×C5D3×D411yescharacteristic
437C2×C4×C5C23×D311yescharacteristic
438C22⋊D5—62no—
439C22⋊D5—122no—
440C22⋊D5—241no—
441C2×Dic5—31no—
442C2×Dic5—31no—
443C2×Dic5—31no—
444C2×Dic5—61no—
445C2×Dic5—61no—
446C2×Dic5—61no—
447C2×Dic5—241no—
448D20—61no—
449D20—61no—
450C4×D5—61no—
451C4×D5—61no—
452C4×D5—122no—
453C5×C8—21no—
454C5×C8—21no—
455#168—61no—
456#168—61no—
457C2×#41C2×D1511yescharacteristic
458C22×D4—151no—
459C2×Q16C2×D1511yescharacteristic, complemented
460C2×SD16—151no—
461C2×SD16C2×D1511yescharacteristic
462C22×C8—151no—
463C22×C8—151no—
464#126—301no—
465#125—151no—
466#125—301no—
467#124—151no—
468#123—301no—
469#123—301no—
470C22⋊Q8—151no—
471C22⋊Q8—151no—
472C22⋊Q8C2×D1511yescharacteristic, complemented
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8—151no—
477C4×D4—151no—
478C4×D4—151no—
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8—151no—
487#103—151no—
488#103—151no—
489#103—151no—
490#103C2×D1511yescharacteristic, complemented
491#102—151no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102C2×D1511yescharacteristic
497C22⋊C8—151no—
498C22⋊C8C2×D1511yescharacteristic, complemented
499C4×C8—151no—
500C2×C3×C5—42no—
501C2×C3×C5—41no—
502C2×C3×C5#54611yescharacteristic
503C2×C3×C5C2×#13511yescharacteristic
504C2×C3×C5#57711yescharacteristic
505D15—22no—
506D15—81no—
507C23×C3—21no—
508C23×C3D4×D511yescharacteristic
509C22×D3—51no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×Q8—21no—
515C3×Q8—21no—
516C3×Q8—21no—
517C3×Q8—21no—
518C3×D4—21no—
519C3×D4—42no—
520C3×D4#71112yes—
521C2×C3×C4—21no—
522C2×C3×C4—21no—
523C2×C3×C4—21no—
524C2×C3×C4—21no—
525C2×C3×C4—21no—
526C2×C3×C4—42no—
527C2×C3×C4D4×D511yescharacteristic
528C2×C3×C4C23×D511yescharacteristic
529#67—102no—
530#67—202no—
531#67—401no—
532C2×Dic3—51no—
533C2×Dic3—51no—
534C2×Dic3—51no—
535C2×Dic3—101no—
536C2×Dic3—101no—
537C2×Dic3—101no—
538C2×Dic3—401no—
539D12—101no—
540D12—101no—
541C4×D3—101no—
542C4×D3—101no—
543C4×D3—202no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5—22no—
551C22×C5—21no—
552C22×C5—41no—
553C22×C5—41no—
554C22×C5C2×D3×D411yescharacteristic
555C2×D5—32no—
556C2×D5—61no—
557C2×D5—61no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—121no—
561C2×D5—244no—
562C4×C5—21no—
563C4×C5—41no—
564C4×C5—41no—
565C4×C5—41no—
566C4×C5C2×#23711yescharacteristic
567C4×C5#100411yescharacteristic
568Dic5—61no—
569Dic5—61no—
570Dic5—61no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—22no—
576#41—41no—
577C2×Q8C22×D1511yescharacteristic
578C2×Q8C22×D1511yescharacteristic
579C2×D4—21no—
580C2×D4—151no—
581C2×D4—151no—
582C2×D4—301no—
583C2×D4—302no—
584C2×D4—301no—
585C2×D4—601no—
586C2×D4C22×D1511yescharacteristic
587C22×C4—21no—
588C22×C4—151no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C22×D1511yescharacteristic
592Q16—41no—
593SD16—22no—
594SD16—601no—
595C2×C8—151no—
596C2×C8—151no—
597C2×C8—601no—
598C2×C8—601no—
599C2×C8C22×D1511yescharacteristic
600C2×C8C22×D1511yescharacteristic
601C4⋊C4—21no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—151no—
605C4⋊C4—151no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4C22×D1511yescharacteristic
613C22⋊C4—21no—
614C22⋊C4—151no—
615C22⋊C4—151no—
616C22⋊C4—301no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—151no—
624C42—301no—
625C42—301no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—22no—
630C22×C3—21no—
631C22×C3—41no—
632C22×C3—41no—
633C22×C3C2×D4×D511yescharacteristic
634C2×D3—52no—
635C2×D3—101no—
636C2×D3—101no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—41no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4C2×#71111yescharacteristic
646C3×C4#414411yescharacteristic
647Dic3—101no—
648Dic3—101no—
649Dic3—101no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—42no—
654C2×C5—41no—
655C2×C5#559111yescharacteristic
656C2×C5D3×#13511yescharacteristic
657C2×C5#577811yescharacteristic
658D5—62no—
659D5—241no—
660C23—21no—
661C23—151no—
662C23—301no—
663C23—602no—
664C23—602no—
665C23—1201no—
666C23D4×D1511yescharacteristic
667Q8—21no—
668Q8—21no—
669Q8—21no—
670Q8—21no—
671D4—21no—
672D4—42no—
673D4—302no—
674D4—301no—
675D4—301no—
676D4—602no—
677D4—1201no—
678D4#681912yes—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—42no—
685C2×C4—151no—
686C2×C4—151no—
687C2×C4—151no—
688C2×C4—301no—
689C2×C4—301no—
690C2×C4—301no—
691C2×C4—301no—
692C2×C4—301no—
693C2×C4—602no—
694C2×C4—1201no—
695C2×C4D4×D1511yescharacteristic
696C2×C4C23×D1511yescharacteristic
697C8—21no—
698C8—21no—
699C8—301no—
700C8—301no—
701C2×C3—42no—
702C2×C3—41no—
703C2×C3#6592511yescharacteristic
704C2×C3D5×#13511yescharacteristic
705C2×C3#6611211yescharacteristic
706D3—102no—
707D3—401no—
708C5#8024611yescharacteristic, complemented, Sylow
709C22—21no—
710C22—22no—
711C22—21no—
712C22—21no—
713C22—41no—
714C22—41no—
715C22—152no—
716C22—301no—
717C22—301no—
718C22—601no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D4×D1511yescharacteristic
723C4—21no—
724C4—41no—
725C4—41no—
726C4—41no—
727C4—301no—
728C4—301no—
729C4—301no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4C2×#681911yescharacteristic
734C4#9209511yescharacteristic
735C3#1061197711yescharacteristic, complemented, Sylow
736C2—41no—
737C2—42no—
738C2—302no—
739C2—1201no—
740C2#1175635011yescharacteristic
741C2D15×#13511yescharacteristic
742C2#1175653711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#452C2
socleC22×C3×C5C22×D4
prime radical#11756588C2
hypercenter#452D15
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #452

Complements

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

NH ≅ G/Ntype
2. #11756398C2semidirect
3. C3×C5×#452C2semidirect
4. #11751334C2semidirect
5. #11751289C2semidirect
6. #11751286C2semidirect
7. #11751270C2semidirect
8. SD16×Dic15C2semidirect
9. #11751149C2semidirect
10. #11750906C2semidirect
11. #11750901C2semidirect
12. D15×#102C2semidirect
13. #11750867C2semidirect
14. #11750838C2semidirect
15. #11750826C2semidirect
19. C2×C3×C5×Q16C22semidirect
21. C3×C5×C22⋊Q8C22semidirect
25. Q8×Dic15C22semidirect
34. #91815C22semidirect
35. C22×C3⋊#168C22semidirect
39. #91779C22semidirect
43. C3×C5×#103C22semidirect
45. C3×C5×C22⋊C8C22semidirect
46. #91119C22semidirect
47. #91119C22semidirect
48. #91119C22semidirect
54. #91102C22semidirect
55. #91101C22semidirect
56. #91098C22semidirect
57. C8×Dic15C22semidirect
59. #91092C22semidirect
63. C5×#452D3semidirect
130. C3×#452D5semidirect
145. C2×C5×Q16C2×D3semidirect
147. C5×C22⋊Q8C2×D3semidirect
169. C5×#103C2×D3semidirect
171. C5×C22⋊C8C2×D3semidirect
230. C2×C3×Q16C2×D5semidirect
232. C3×C22⋊Q8C2×D5semidirect
254. C3×#103C2×D5semidirect
256. C3×C22⋊C8C2×D5semidirect
332. #452D15semidirect
459. C2×Q16C2×D15semidirect
472. C22⋊Q8C2×D15semidirect
490. #103C2×D15semidirect
498. C22⋊C8C2×D15semidirect
626. C3×C5#3296semidirect
708. C5#80246semidirect
735. C3#10611977semidirect

Maximal subgroups

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

subgroupindex
#117565882
#117563982
C3×C5×#4522
#117513342
#117512892
#117512862
#117512702
SD16×Dic152
#117511492
#117509062
#117509012
D15×#1022
#117508672
#117508382
#117508262
#106119773
#802465