Finite Group Databasebeta

← #14458619

Subgroups — #14458619

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#11756309C211yesmaximal, characteristic
2#11756300C211yesmaximal, characteristic, complemented
3C3×C5×C8×D4C211yesmaximal, characteristic, complemented
4#11751217C211yesmaximal, characteristic, complemented
5#11751215C211yesmaximal, characteristic, complemented
6#11751214C211yesmaximal, characteristic, complemented
7C2×#91105C211yesmaximal, characteristic, complemented
8#11750948C211yesmaximal, characteristic, complemented
9#11750946C211yesmaximal, characteristic, complemented
10#11750838C211yesmaximal, characteristic, complemented
11#11750834C211yesmaximal, characteristic, complemented
12#11750832C211yesmaximal, characteristic, complemented
13#11750822C211yesmaximal, characteristic, complemented
14#11750798C211yesmaximal, characteristic, complemented
15C4×#6706C211yesmaximal, characteristic, complemented
16#10611171—31nomaximal, Hall
17C2×#6817C2211yescharacteristic
18C22×D60C2211yescharacteristic
19C22×C3×C5×C8C2211yescharacteristic
20C22×C3×C5×C8C2211yescharacteristic, complemented
21C3×C4×C5×D4C2211yescharacteristic
22#91826—21no—
23#91824—21no—
24#91819C2211yescharacteristic
25#91815C2211yescharacteristic, complemented
26C2×C4⋊Dic15C2211yescharacteristic
27#91813C2211yescharacteristic
28#91813C2211yescharacteristic
29#91813C2211yescharacteristic, complemented
30C2×Dic60C2211yescharacteristic, complemented
31C2×#6706C2211yescharacteristic
32C2×#6706C2211yescharacteristic
33#91783—21no—
34#91778—21no—
35#91773—21no—
36C22⋊C4×D15—21no—
37#91768—21no—
38#91766—21no—
39#91764C2211yescharacteristic
40C4×D60C2211yescharacteristic
41#91759C2211yescharacteristic, complemented
42C4×Dic30C2211yescharacteristic, complemented
43C3×C5×C4⋊C8C2211yescharacteristic, complemented
44C3×C5×C22⋊C8C2211yescharacteristic
45C3×C5×C22⋊C8C2211yescharacteristic, complemented
46C3×C4×C5×C8C2211yescharacteristic, complemented
47#91105C2211yescharacteristic
48#91105C2211yescharacteristic
49#91105C2211yescharacteristic
50#91105C2211yescharacteristic
51#91105C2211yescharacteristic
52#91105C2211yescharacteristic
53#91102C2211yescharacteristic, complemented
54#91101C2211yescharacteristic, complemented
55#91101C2211yescharacteristic, complemented
56#91100C2211yescharacteristic, complemented
57#91100C2211yescharacteristic, complemented
58#91100C2211yescharacteristic, complemented
59#91100C2211yescharacteristic, complemented
60#79440—51nomaximal, Hall
61#65884—31no—
62#65875—31no—
63C5×C8×D4D311yescharacteristic, complemented
64#65405—31no—
65#65403—31no—
66#65402—31no—
67C2×#3953—31no—
68#65136—31no—
69#65134—31no—
70#65026—31no—
71#65022—31no—
72#65020—31no—
73#65010—31no—
74#64986—31no—
75C4×#677—31no—
76C23×D15—21no—
77C2×C3×C5×D4D411yescharacteristic
78C22×C3×C4×C5C2311yescharacteristic
79C22×C3×C4×C5C2311yescharacteristic
80C2×#1220—21no—
81C2×#1220—21no—
82C22×Dic15—21no—
83#6817—22no—
84#6817—41no—
85C2×D60—22no—
86C2×D60—21no—
87C2×D60—41no—
88C2×D60C2311yescharacteristic
89C2×D60C2311yescharacteristic
90C2×C4×D15—21no—
91C2×C4×D15—21no—
92C2×Dic30C2311yescharacteristic
93C2×Dic30C2311yescharacteristic
94C2×C3×C5×C8—41no—
95C2×C3×C5×C8—41no—
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C2×C3×C5×C8C2311yescharacteristic
99C2×C3×C5×C8C2311yescharacteristic
100C3×C5×C4⋊C4D411yescharacteristic
101C3×C5×C22⋊C4D411yescharacteristic
102C3×C5×C22⋊C4D411yescharacteristic
103C3×C42×C5C2311yescharacteristic
104#6719—21no—
105#6719—21no—
106#6719—21no—
107#6719—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112C4⋊Dic15—21no—
113C4⋊Dic15C2311yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117#6712—21no—
118#6712—21no—
119#6712—21no—
120#6712—21no—
121#6712—21no—
122#6712—21no—
123C4×Dic15—21no—
124C4×Dic15—21no—
125Dic60—41no—
126#6706—22no—
127#6706—41no—
128#5550—51no—
129#5541—51no—
130C3×C8×D4D511yescharacteristic, complemented
131#5116—51no—
132#5114—51no—
133#5113—51no—
134C2×#821—51no—
135#4847—51no—
136#4845—51no—
137#4737—51no—
138#4733—51no—
139#4731—51no—
140#4721—51no—
141#4697—51no—
142C4×#204—51no—
143C2×#709—31no—
144C22×D20—31no—
145C22×C5×C8C2×D311yescharacteristic
146C22×C5×C8C2×D311yescharacteristic, complemented
147C4×C5×D4C2×D311yescharacteristic
148#4083—61no—
149#4081—61no—
150#4076—31no—
151#4072—31no—
152C2×C4⋊Dic5—31no—
153#4070—31no—
154#4070—31no—
155#4070—31no—
156C2×Dic20—31no—
157C2×#677—31no—
158C2×#677—31no—
159#4040—61no—
160#4035—61no—
161#4030—61no—
162D5×C22⋊C4—61no—
163#4025—61no—
164#4023—61no—
165#4021—31no—
166C4×D20—31no—
167#4016—31no—
168C4×Dic10—31no—
169C5×C4⋊C8C2×D311yescharacteristic, complemented
170C5×C22⋊C8C2×D311yescharacteristic
171C5×C22⋊C8C2×D311yescharacteristic, complemented
172C4×C5×C8C2×D311yescharacteristic, complemented
173#3953—31no—
174#3953—31no—
175#3953—31no—
176#3953—31no—
177#3953—31no—
178#3953—31no—
179#3950—31no—
180#3949—31no—
181#3949—31no—
182#3948—31no—
183#3948—31no—
184#3948—31no—
185#3948—31no—
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C23×C3×C5C2×D411yescharacteristic
189C22×D15—21no—
190C22×D15—21no—
191C22×D15—42no—
192C22×D15—42no—
193C22×D15—81no—
194C3×C5×D4—22no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5C2×D411yescharacteristic
200C2×C3×C4×C5C2×D411yescharacteristic
201C2×C3×C4×C5C2×D411yescharacteristic
202C2×C3×C4×C5C2×D411yescharacteristic
203C2×C3×C4×C5C2411yescharacteristic
204#1220—42no—
205#1220—81no—
206C2×Dic15—21no—
207C2×Dic15—21no—
208C2×Dic15—21no—
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15—21no—
212C2×Dic15—42no—
213D60—21no—
214D60—21no—
215D60—21no—
216D60—42no—
217D60#4112yes—
218C4×D15—42no—
219C4×D15—81no—
220Dic30—21no—
221Dic30—21no—
222Dic30—21no—
223Dic30—21no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3×C5×C8—21no—
227C3×C5×C8—21no—
228C2×#235—51no—
229C22×D12—51no—
230C22×C3×C8C2×D511yescharacteristic
231C22×C3×C8C2×D511yescharacteristic, complemented
232C3×C4×D4C2×D511yescharacteristic
233#937—101no—
234#935—101no—
235#930—51no—
236#926—51no—
237C2×C4⋊Dic3—51no—
238#924—51no—
239#924—51no—
240#924—51no—
241C2×Dic12—51no—
242C2×#204—51no—
243C2×#204—51no—
244#894—101no—
245#889—101no—
246#884—101no—
247D3×C22⋊C4—101no—
248#879—101no—
249#877—101no—
250#875—51no—
251C4×D12—51no—
252#870—51no—
253C4×Dic6—51no—
254C3×C4⋊C8C2×D511yescharacteristic, complemented
255C3×C22⋊C8C2×D511yescharacteristic
256C3×C22⋊C8C2×D511yescharacteristic, complemented
257C3×C4×C8C2×D511yescharacteristic, complemented
258#821—51no—
259#821—51no—
260#821—51no—
261#821—51no—
262#821—51no—
263#821—51no—
264#818—51no—
265#817—51no—
266#817—51no—
267#816—51no—
268#816—51no—
269#816—51no—
270#816—51no—
271C23×D5—61no—
272C2×C5×D4D1211yescharacteristic
273C22×C4×C5C22×D311yescharacteristic
274C22×C4×C5C22×D311yescharacteristic
275C2×C22⋊D5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278#709—62no—
279#709—121no—
280C2×D20—31no—
281C2×D20—31no—
282C2×D20—62no—
283C2×D20—61no—
284C2×D20—121no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×Dic10—31no—
288C2×Dic10—31no—
289C2×C5×C8—41no—
290C2×C5×C8—41no—
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C2×C5×C8C22×D311yescharacteristic
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4D1211yescharacteristic
296C5×C22⋊C4D1211yescharacteristic
297C5×C22⋊C4D1211yescharacteristic
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302C22⋊Dic5—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306#685—61no—
307C4⋊Dic5—31no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—31no—
311C4⋊Dic5—61no—
312#683—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320Dic20—121no—
321#677—62no—
322#677—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#452—151no—
333#450—151no—
334C4×SD16—151no—
335C8×D4D1511yescharacteristic, complemented
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—21no—
339C22×C3×C5—21no—
340C22×C3×C5—21no—
341C22×C3×C5—21no—
342C22×C3×C5—21no—
343C22×C3×C5#13512yes—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—22no—
346C2×D15—41no—
347C2×D15—41no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—41no—
351C2×D15—84no—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5—21no—
355C3×C4×C5—21no—
356C3×C4×C5C2×#4111yescharacteristic
357C3×C4×C5H(5,𝔽2)11yescharacteristic
358Dic15—41no—
359Dic15—41no—
360Dic15—41no—
361Dic15—41no—
362Dic15—41no—
363Dic15—41no—
364C23×D3—101no—
365C2×C3×D4D2011yescharacteristic
366C22×C3×C4C22×D511yescharacteristic
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—101no—
369C2×#67—101no—
370C22×Dic3—101no—
371#235—102no—
372#235—201no—
373C2×D12—51no—
374C2×D12—51no—
375C2×D12—102no—
376C2×D12—101no—
377C2×D12—201no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×Dic6—51no—
381C2×Dic6—51no—
382C2×C3×C8—41no—
383C2×C3×C8—41no—
384C2×C3×C8C22×D511yescharacteristic
385C2×C3×C8C22×D511yescharacteristic
386C2×C3×C8C22×D511yescharacteristic
387C2×C3×C8C22×D511yescharacteristic
388C3×C4⋊C4D2011yescharacteristic
389C3×C22⋊C4D2011yescharacteristic
390C3×C22⋊C4D2011yescharacteristic
391C3×C42C22×D511yescharacteristic
392#217—101no—
393#217—101no—
394#217—101no—
395#217—101no—
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—51no—
403C4⋊Dic3—51no—
404C4⋊Dic3—101no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413Dic12—201no—
414#204—102no—
415#204—201no—
416C23×C5C2×D1211yescharacteristic
417C23×C5C2×D1211yescharacteristic
418C22×D5—61no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×D4—22no—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—21no—
427C2×C4×C5—21no—
428C2×C4×C5C2×D1211yescharacteristic
429C2×C4×C5C2×D1211yescharacteristic
430C2×C4×C5C2×D1211yescharacteristic
431C2×C4×C5C2×D1211yescharacteristic
432C2×C4×C5C23×D311yescharacteristic
433C22⋊D5—122no—
434C22⋊D5—241no—
435C2×Dic5—61no—
436C2×Dic5—61no—
437C2×Dic5—61no—
438C2×Dic5—61no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—122no—
442D20—32no—
443D20—61no—
444D20—61no—
445D20—61no—
446D20—122no—
447C4×D5—122no—
448C4×D5—241no—
449Dic10—61no—
450Dic10—61no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8—21no—
455C5×C8—21no—
456C5×C8—21no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C22×C8C2×D1511yescharacteristic
463C22×C8C2×D1511yescharacteristic, complemented
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⋊Q8—151no—
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8—151no—
477C4×D4—151no—
478C4×D4C2×D1511yescharacteristic
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8C2×D1511yescharacteristic, complemented
487#103—151no—
488#103—151no—
489#103—151no—
490#103—151no—
491#102—151no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8C2×D1511yescharacteristic
498C22⋊C8C2×D1511yescharacteristic, complemented
499C4×C8C2×D1511yescharacteristic, complemented
500C2×C3×C5—22no—
501C2×C3×C5—41no—
502C2×C3×C5#54611yescharacteristic
503C2×C3×C5C2×#13511yescharacteristic
504C2×C3×C5#57711yescharacteristic
505D15—42no—
506D15—81no—
507C23×C3C2×D2011yescharacteristic
508C23×C3C2×D2011yescharacteristic
509C22×D3—101no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×D4—22no—
515C2×C3×C4—21no—
516C2×C3×C4—21no—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4C2×D2011yescharacteristic
520C2×C3×C4C2×D2011yescharacteristic
521C2×C3×C4C2×D2011yescharacteristic
522C2×C3×C4C2×D2011yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—202no—
525#67—401no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528C2×Dic3—101no—
529C2×Dic3—101no—
530C2×Dic3—101no—
531C2×Dic3—101no—
532C2×Dic3—202no—
533D12—52no—
534D12—101no—
535D12—101no—
536D12—101no—
537D12—202no—
538C4×D3—202no—
539C4×D3—401no—
540Dic6—101no—
541Dic6—101no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—21no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5—21no—
551C22×C5—21no—
552C22×C5—21no—
553C22×C5#90412yes—
554C22×C5C22×D1211yescharacteristic
555C2×D5—62no—
556C2×D5—121no—
557C2×D5—121no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—121no—
561C2×D5—244no—
562C4×C5—21no—
563C4×C5—21no—
564C4×C5—21no—
565C4×C5—21no—
566C4×C5#100411yescharacteristic
567C4×C5D3×#4111yescharacteristic
568Dic5—121no—
569Dic5—121no—
570Dic5—121no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—151no—
578C2×Q8—151no—
579C2×D4—151no—
580C2×D4—151no—
581C2×D4—302no—
582C2×D4—301no—
583C2×D4—301no—
584C2×D4—301no—
585C2×D4—601no—
586C2×D4D6011yescharacteristic
587C22×C4—301no—
588C22×C4—301no—
589C22×C4—301no—
590C22×C4C22×D1511yescharacteristic
591C22×C4C22×D1511yescharacteristic
592Q16—601no—
593SD16—302no—
594SD16—601no—
595C2×C8—41no—
596C2×C8—41no—
597C2×C8C22×D1511yescharacteristic
598C2×C8C22×D1511yescharacteristic
599C2×C8C22×D1511yescharacteristic
600C2×C8C22×D1511yescharacteristic
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—151no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4D6011yescharacteristic
613C22⋊C4—301no—
614C22⋊C4—301no—
615C22⋊C4—301no—
616C22⋊C4—301no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4D6011yescharacteristic
622C22⋊C4D6011yescharacteristic
623C42—301no—
624C42—301no—
625C42C22×D1511yescharacteristic
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—21no—
631C22×C3—21no—
632C22×C3#405012yes—
633C22×C3C22×D2011yescharacteristic
634C2×D3—102no—
635C2×D3—201no—
636C2×D3—201no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4#414411yescharacteristic
646C3×C4D5×#4111yescharacteristic
647Dic3—201no—
648Dic3—201no—
649Dic3—201no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—22no—
654C2×C5—41no—
655C2×C5#555411yescharacteristic
656C2×C5C2×#90411yescharacteristic
657C2×C5#575111yescharacteristic
658D5—122no—
659D5—241no—
660C23—301no—
661C23—301no—
662C23—602no—
663C23—602no—
664C23—1201no—
665C23C2×D6011yescharacteristic
666C23C2×D6011yescharacteristic
667Q8—301no—
668Q8—301no—
669Q8—301no—
670Q8—301no—
671D4—22no—
672D4—152no—
673D4—301no—
674D4—301no—
675D4—301no—
676D4—602no—
677D4—602no—
678D4—1201no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—301no—
684C2×C4—301no—
685C2×C4—301no—
686C2×C4—301no—
687C2×C4—301no—
688C2×C4—301no—
689C2×C4—602no—
690C2×C4—602no—
691C2×C4—1201no—
692C2×C4C2×D6011yescharacteristic
693C2×C4C2×D6011yescharacteristic
694C2×C4C2×D6011yescharacteristic
695C2×C4C2×D6011yescharacteristic
696C2×C4C23×D1511yescharacteristic
697C8—21no—
698C8—21no—
699C8—21no—
700C8—21no—
701C2×C3—22no—
702C2×C3—41no—
703C2×C3#6588811yescharacteristic
704C2×C3C2×#405011yescharacteristic
705C2×C3#6608511yescharacteristic
706D3—202no—
707D3—401no—
708C5#7944011yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—302no—
715C22—601no—
716C22—601no—
717C22—601no—
718C22—601no—
719C22—601no—
720C22—1204no—
721C22#9179312yes—
722C22C22×D6011yescharacteristic
723C4—21no—
724C4—21no—
725C4—21no—
726C4—21no—
727C4—601no—
728C4—601no—
729C4—601no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4#9209511yescharacteristic
734C4#41×D1511yescharacteristic
735C3#1061117111yescharacteristic, complemented, Sylow
736C2—22no—
737C2—41no—
738C2—602no—
739C2—1201no—
740C2#1175631311yescharacteristic
741C2C2×#9179311yescharacteristic
742C2#1175651011yescharacteristic
subgroupG/H
centerC22C22×D60
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×C8×D4C2
socleC22×C3×C5C22×D4
prime radical#11756309C2
hypercenterC8×D4D15
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C4×D4 ◁ C8×D4

Complements

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

NH ≅ G/Ntype
2. #11756300C2semidirect
3. C3×C5×C8×D4C2semidirect
4. #11751217C2semidirect
5. #11751215C2semidirect
6. #11751214C2semidirect
7. C2×#91105C2semidirect
8. #11750948C2semidirect
9. #11750946C2semidirect
10. #11750838C2semidirect
11. #11750834C2semidirect
12. #11750832C2semidirect
13. #11750822C2semidirect
14. #11750798C2semidirect
15. C4×#6706C2semidirect
20. C22×C3×C5×C8C22semidirect
25. #91815C22semidirect
29. #91813C22semidirect
30. C2×Dic60C22semidirect
41. #91759C22semidirect
42. C4×Dic30C22semidirect
43. C3×C5×C4⋊C8C22semidirect
45. C3×C5×C22⋊C8C22semidirect
46. C3×C4×C5×C8C22semidirect
53. #91102C22semidirect
54. #91101C22semidirect
55. #91101C22semidirect
56. #91100C22semidirect
57. #91100C22semidirect
58. #91100C22semidirect
59. #91100C22semidirect
63. C5×C8×D4D3semidirect
130. C3×C8×D4D5semidirect
146. C22×C5×C8C2×D3semidirect
169. C5×C4⋊C8C2×D3semidirect
171. C5×C22⋊C8C2×D3semidirect
172. C4×C5×C8C2×D3semidirect
231. C22×C3×C8C2×D5semidirect
254. C3×C4⋊C8C2×D5semidirect
256. C3×C22⋊C8C2×D5semidirect
257. C3×C4×C8C2×D5semidirect
335. C8×D4D15semidirect
463. C22×C8C2×D15semidirect
486. C4⋊C8C2×D15semidirect
498. C22⋊C8C2×D15semidirect
499. C4×C8C2×D15semidirect
626. C3×C5#3296semidirect
708. C5#79440semidirect
735. C3#10611171semidirect

Maximal subgroups

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

subgroupindex
#117563092
#117563002
C3×C5×C8×D42
#117512172
#117512152
#117512142
C2×#911052
#117509482
#117509462
#117508382
#117508342
#117508322
#117508222
#117507982
C4×#67062
#106111713
#794405