Finite Group Databasebeta

← #14458781

Subgroups — #14458781

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#11752736C211yesmaximal, characteristic
2#11752609C211yesmaximal, characteristic, complemented
3#11750798C211yesmaximal, characteristic, complemented
4C5×C8×D12C211yesmaximal, characteristic, complemented
5C3×C4×#677C211yesmaximal, characteristic, complemented
6#11748147C211yesmaximal, characteristic, complemented
7#11748137C211yesmaximal, characteristic, complemented
8#11748110C211yesmaximal, characteristic, complemented
9D3×#3953C211yesmaximal, characteristic, complemented
10#11747947C211yesmaximal, characteristic, complemented
11#11747946C211yesmaximal, characteristic, complemented
12#11747677C211yesmaximal, characteristic, complemented
13#11747623C211yesmaximal, characteristic, complemented
14#11747065C211yesmaximal, characteristic, complemented
15#11746888C211yesmaximal, characteristic, complemented
16#10611171—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C2×#6765C2211yescharacteristic
19#91764C2211yescharacteristic
20#91759C2211yescharacteristic, complemented
21C2×C5×D3×C8C2211yescharacteristic
22C2×C5×D3×C8C2211yescharacteristic, complemented
23C4×C5×D12C2211yescharacteristic
24C2×C3×#677C2211yescharacteristic
25C3×C4×D20C2211yescharacteristic
26C3×C4×Dic10C2211yescharacteristic, complemented
27#91475—21no—
28D5×(C2×D3)⋊C4—21no—
29#91460C2211yescharacteristic
30#91448—21no—
31D3×C4⋊Dic5C2211yescharacteristic
32#91423—21no—
33#91413—21no—
34#91398—21no—
35#91372—21no—
36#91369C2211yescharacteristic
37#91369C2211yescharacteristic, complemented
38#91365C2211yescharacteristic
39#91338C2211yescharacteristic, complemented
40#91336—21no—
41C2×#6662C2211yescharacteristic, complemented
42C2×#6658C2211yescharacteristic
43C3×C4×C5×C8C2211yescharacteristic, complemented
44#91105C2211yescharacteristic
45#91105C2211yescharacteristic
46#91100C2211yescharacteristic, complemented
47#91100C2211yescharacteristic, complemented
48C5×(C2×D3)⋊C8C2211yescharacteristic
49C5×(C2×D3)⋊C8C2211yescharacteristic, complemented
50C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
51C3×#3953C2211yescharacteristic
52C3×#3949C2211yescharacteristic, complemented
53C3×#3948C2211yescharacteristic, complemented
54#90990C2211yescharacteristic, complemented
55#90987C2211yescharacteristic, complemented
56#90974C2211yescharacteristic, complemented
57#90968C2211yescharacteristic
58#90965C2211yescharacteristic
59#90965C2211yescharacteristic
60#79677—51nomaximal, Hall
61#65884—31no—
62#65875—31no—
63C5×C8×D4—31no—
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×#677D311yescharacteristic, complemented
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C5×D12D411yescharacteristic
80C2×C4×C5×D3C2311yescharacteristic
81C2×C4×C5×D3C2311yescharacteristic
82C2×C3×D20C2311yescharacteristic
83C2×C3×C4×D5—21no—
84C2×C3×Dic10C2311yescharacteristic
85C2×#1203—21no—
86C2×#1202—21no—
87C2×#1201—21no—
88C2×D3×Dic5—21no—
89C2×D5×Dic3—21no—
90D3×D20—22no—
91D3×D20—41no—
92#6765—22no—
93#6765—41no—
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C42×C5C2311yescharacteristic
97#6714—21no—
98#6714—21no—
99C4⋊Dic15C2311yescharacteristic
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102#6712—21no—
103C5×(C2×D3)⋊C4D411yescharacteristic
104C5×(C2×D3)⋊C4D411yescharacteristic
105C5×C4⋊Dic3D411yescharacteristic
106C2×C5×C3⋊C8C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C5×D3×C8—41no—
109C5×D3×C8—41no—
110C3×#685—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×C4×Dic5—21no—
115C3×#677—22no—
116Dic3⋊Dic5—21no—
117#6669—21no—
118#6669—21no—
119#6668—21no—
120#6667—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123(C2×D3)⋊Dic5—21no—
124(C2×D3)⋊Dic5—21no—
125Dic3×Dic5—21no—
126#6662—41no—
127#6658—41no—
128#5581—51no—
129#5554—51no—
130C3×C4×SD16—51no—
131#5173—51no—
132#5169—51no—
133#5028—51no—
134#5009—51no—
135#4866—51no—
136#4862—51no—
137#4813—51no—
138#4807—51no—
139#4772—51no—
140D3×#102—51no—
141#4697—51no—
142C8×D12D511yescharacteristic, complemented
143C2×#709—31no—
144C22×D20—31no—
145C22×C5×C8—31no—
146C22×C5×C8—31no—
147C4×C5×D4—31no—
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×#677C2×D311yescharacteristic
159#4040—61no—
160#4035—61no—
161#4030—61no—
162D5×C22⋊C4—61no—
163#4025—61no—
164#4023—61no—
165#4021—31no—
166C4×D20C2×D311yescharacteristic
167#4016—31no—
168C4×Dic10C2×D311yescharacteristic, complemented
169C5×C4⋊C8—31no—
170C5×C22⋊C8—31no—
171C5×C22⋊C8—31no—
172C4×C5×C8C2×D311yescharacteristic, complemented
173#3953—31no—
174#3953—31no—
175#3953—31no—
176#3953—31no—
177#3953—31no—
178#3953C2×D311yescharacteristic
179#3950—31no—
180#3949—31no—
181#3949C2×D311yescharacteristic, complemented
182#3948—31no—
183#3948—31no—
184#3948—31no—
185#3948C2×D311yescharacteristic, complemented
186#3296—151noSylow
187C22×D15—21no—
188C22×C5×D3C2×D411yescharacteristic
189C22×C5×D3C2×D411yescharacteristic
190C22×C3×D5—21no—
191C2×D3×D5—42no—
192C2×D3×D5—42no—
193C2×D3×D5—81no—
194C2×C3×C4×C5C2×D411yescharacteristic
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2411yescharacteristic
197C2×Dic15—21no—
198C2×Dic15—21no—
199C2×Dic15—21no—
200D60—21no—
201D60—21no—
202Dic30—21no—
203Dic30—21no—
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C5×D12—22no—
207C4×C5×D3—21no—
208C4×C5×D3—21no—
209C4×C5×D3—21no—
210C4×C5×D3—21no—
211C2×C3×Dic5—21no—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—21no—
214C3×D20—21no—
215C3×D20#4112yes—
216C3×C4×D5—81no—
217C3×Dic10—21no—
218C3×Dic10—21no—
219#1203—81no—
220#1202—42no—
221#1201—42no—
222D3×Dic5—42no—
223D5×Dic3—42no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C5×C3⋊C8—21no—
227C5×C3⋊C8—21no—
228C2×#237—51no—
229C2×D3×D4—51no—
230C2×C3×SD16—51no—
231C3×C4×Q8—51no—
232C3×C4×D4—51no—
233#946—51no—
234#946—51no—
235C2×#216—51no—
236C2×#215—51no—
237#930—101no—
238C2×(C2×D3)⋊C4—101no—
239C2×D3×C8C2×D511yescharacteristic
240C2×D3×C8C2×D511yescharacteristic, complemented
241#897—51no—
242#895—51no—
243#894—101no—
244#892—51no—
245D3×C4⋊C4—51no—
246#889—101no—
247#886—101no—
248#882—101no—
249#876—101no—
250#875—51no—
251C4×D12C2×D511yescharacteristic
252#872—101no—
253#870—51no—
254C3×#106—51no—
255C3×#103—51no—
256C3×#102—51no—
257C3×C4×C8C2×D511yescharacteristic, complemented
258#832—51no—
259#832—51no—
260#821—51no—
261#821—51no—
262(C2×D3)⋊C8C2×D511yescharacteristic
263(C2×D3)⋊C8C2×D511yescharacteristic, complemented
264#816—51no—
265#816—51no—
266#810—51no—
267#809—51no—
268#808—51no—
269#807—51no—
270C4⋊(C3⋊C8)C2×D511yescharacteristic, complemented
271C23×D5—61no—
272C2×C5×D4—31no—
273C22×C4×C5—31no—
274C22×C4×C5—31no—
275C2×C22⋊D5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278#709—62no—
279#709—121no—
280C2×D20—31no—
281C2×D20—62no—
282C2×D20—61no—
283C2×D20—121no—
284C2×D20C22×D311yescharacteristic
285C2×C4×D5—21no—
286C2×C4×D5—61no—
287C2×Dic10—31no—
288C2×Dic10C22×D311yescharacteristic
289C2×C5×C8—31no—
290C2×C5×C8—31no—
291C2×C5×C8—121no—
292C2×C5×C8—121no—
293C2×C5×C8C22×D311yescharacteristic
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C22⋊C4—31no—
297C5×C22⋊C4—31no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302C22⋊Dic5—61no—
303#685—21no—
304#685—61no—
305#685—61no—
306#685—61no—
307C4⋊Dic5—31no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5C22×D311yescharacteristic
311C4⋊Dic5C22×D311yescharacteristic
312#683—21no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318C4×Dic5—21no—
319C4×Dic5—61no—
320Dic20—121no—
321#677—22no—
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—51no—
335C8×D4—31no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5C22×D411yescharacteristic
339C2×D15—41no—
340C2×D15—41no—
341C2×D15—41no—
342C2×C5×D3—21no—
343C2×C5×D3—21no—
344C2×C5×D3—21no—
345C2×C5×D3—21no—
346C2×C5×D3—21no—
347C2×C5×D3#13512yes—
348C2×C3×D5—22no—
349C2×C3×D5—41no—
350C2×C3×D5—41no—
351D3×D5—84no—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5C2×#4111yescharacteristic
355C3×C4×C5H(5,𝔽2)11yescharacteristic
356Dic15—41no—
357Dic15—41no—
358Dic15—41no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C3×Dic5—41no—
362C5×Dic3—21no—
363C5×Dic3—21no—
364C23×D3—101no—
365C2×C3×Q8—51no—
366C2×C3×D4—51no—
367C22×C3×C4—101no—
368C2×#67—101no—
369C2×#67—101no—
370C22×Dic3—101no—
371#237—102no—
372#237—201no—
373D3×D4—102no—
374D3×D4—201no—
375C2×D12—51no—
376C2×D12—101no—
377C2×D12D2011yescharacteristic
378C2×C4×D3—101no—
379C2×C4×D3C22×D511yescharacteristic
380C2×C4×D3C22×D511yescharacteristic
381C2×Dic6—51no—
382C3×SD16—102no—
383C2×C3×C8C22×D511yescharacteristic
384C2×C3×C8C22×D511yescharacteristic
385C3×C4⋊C4—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C22⋊C4—101no—
389C3×C42—101no—
390C3×C42C22×D511yescharacteristic
391#216—201no—
392#215—201no—
393(C2×D3)⋊C4—101no—
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—
399(C2×D3)⋊C4—101no—
400(C2×D3)⋊C4D2011yescharacteristic
401(C2×D3)⋊C4D2011yescharacteristic
402C4⋊Dic3—51no—
403C4⋊Dic3—51no—
404C4⋊Dic3—101no—
405C4⋊Dic3D2011yescharacteristic
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—101no—
412C2×C3⋊C8C22×D511yescharacteristic
413C2×C3⋊C8C22×D511yescharacteristic
414D3×C8—41no—
415D3×C8—41no—
416C23×C5—31no—
417C23×C5—31no—
418C22×D5—21no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×D4—62no—
424C2×C4×C5—31no—
425C2×C4×C5—31no—
426C2×C4×C5—61no—
427C2×C4×C5—61no—
428C2×C4×C5—61no—
429C2×C4×C5—61no—
430C2×C4×C5D3×D411yescharacteristic
431C2×C4×C5D3×D411yescharacteristic
432C2×C4×C5C23×D311yescharacteristic
433C22⋊D5—122no—
434C22⋊D5—241no—
435C2×Dic5—21no—
436C2×Dic5—21no—
437C2×Dic5—21no—
438C2×Dic5—61no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—122no—
442D20—21no—
443D20—61no—
444D20—61no—
445D20—122no—
446D20#23512yes—
447C4×D5—81no—
448C4×D5—122no—
449Dic10—21no—
450Dic10—21no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8—21no—
455C5×C8—61no—
456C5×C8—61no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—51no—
461C2×SD16—151no—
462C22×C8—31no—
463C22×C8—31no—
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—51no—
477C4×D4—31no—
478C4×D4—51no—
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—51no—
485#106—151no—
486C4⋊C8—31no—
487#103—51no—
488#103—151no—
489#103—151no—
490#103—151no—
491#102—51no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—31no—
498C22⋊C8—31no—
499C4×C8D3×D511yescharacteristic, complemented
500C2×C3×C5#54611yescharacteristic
501C2×C3×C5C2×#13511yescharacteristic
502C2×C3×C5#57711yescharacteristic
503D15—81no—
504C3×D5—42no—
505C5×D3—22no—
506C5×D3—41no—
507C23×C3—101no—
508C22×D3—101no—
509C22×D3—202no—
510C22×D3—202no—
511C22×D3—401no—
512C22×D3C2×D2011yescharacteristic
513C22×D3C2×D2011yescharacteristic
514C3×Q8—101no—
515C3×Q8—101no—
516C3×D4—52no—
517C3×D4—101no—
518C2×C3×C4—101no—
519C2×C3×C4—101no—
520C2×C3×C4—101no—
521C2×C3×C4—401no—
522C2×C3×C4C2×D2011yescharacteristic
523C2×C3×C4C2×D2011yescharacteristic
524C2×C3×C4C23×D511yescharacteristic
525#67—202no—
526#67—202no—
527C2×Dic3—101no—
528C2×Dic3—101no—
529C2×Dic3—101no—
530C2×Dic3—202no—
531C2×Dic3C2×D2011yescharacteristic
532C2×Dic3C2×D2011yescharacteristic
533D12—22no—
534D12—101no—
535D12—101no—
536D12—401no—
537C4×D3—21no—
538C4×D3—21no—
539C4×D3—21no—
540C4×D3—21no—
541C4×D3—202no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C22×C5—32no—
549C22×C5—61no—
550C22×C5—61no—
551C22×C5—61no—
552C22×C5—61no—
553C22×C5—61no—
554C22×C5C2×D3×D411yescharacteristic
555C2×D5—22no—
556C2×D5—41no—
557C2×D5—41no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—121no—
561C2×D5—244no—
562C4×C5—21no—
563C4×C5—21no—
564C4×C5—61no—
565C4×C5—61no—
566C4×C5C2×#23511yescharacteristic
567C4×C5#100911yescharacteristic
568Dic5—41no—
569Dic5—41no—
570Dic5—41no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—51no—
578C2×Q8—151no—
579C2×D4—31no—
580C2×D4—51no—
581C2×D4—151no—
582C2×D4—301no—
583C2×D4—302no—
584C2×D4—301no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—31no—
588C22×C4—31no—
589C22×C4—101no—
590C22×C4—301no—
591C22×C4—301no—
592Q16—601no—
593SD16—102no—
594SD16—601no—
595C2×C8—31no—
596C2×C8—31no—
597C2×C8—121no—
598C2×C8—121no—
599C2×C8C2×D3×D511yescharacteristic
600C2×C8C2×D3×D511yescharacteristic
601C4⋊C4—31no—
602C4⋊C4—51no—
603C4⋊C4—51no—
604C4⋊C4—101no—
605C4⋊C4—151no—
606C4⋊C4—151no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4—301no—
613C22⋊C4—31no—
614C22⋊C4—31no—
615C22⋊C4—101no—
616C22⋊C4—301no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—101no—
624C42—301no—
625C42C2×D3×D511yescharacteristic
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—102no—
628C22×C3—201no—
629C22×C3—201no—
630C22×C3C22×D2011yescharacteristic
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—21no—
635C2×D3—21no—
636C2×D3—201no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—404no—
640C2×D3#405012yes—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—201no—
644C3×C4—201no—
645C3×C4—201no—
646C3×C4#414411yescharacteristic
647C3×C4D5×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—62no—
654C2×C5—121no—
655C2×C5#555011yescharacteristic
656C2×C5#576211yescharacteristic
657C2×C5D3×#13511yescharacteristic
658D5—42no—
659D5—241no—
660C23—31no—
661C23—31no—
662C23—101no—
663C23—301no—
664C23—602no—
665C23—602no—
666C23—1201no—
667Q8—101no—
668Q8—101no—
669Q8—301no—
670Q8—301no—
671D4—52no—
672D4—62no—
673D4—101no—
674D4—301no—
675D4—301no—
676D4—602no—
677D4—602no—
678D4—1201no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—101no—
686C2×C4—101no—
687C2×C4—101no—
688C2×C4—301no—
689C2×C4—301no—
690C2×C4—301no—
691C2×C4—401no—
692C2×C4—602no—
693C2×C4—602no—
694C2×C4D3×D2011yescharacteristic
695C2×C4D3×D2011yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—21no—
698C8—21no—
699C8—61no—
700C8—61no—
701C2×C3—202no—
702C2×C3#6588811yescharacteristic
703C2×C3C2×#405011yescharacteristic
704C2×C3#6608511yescharacteristic
705D3—22no—
706D3—41no—
707D3—401no—
708C5#7967711yescharacteristic, complemented, Sylow
709C22—32no—
710C22—61no—
711C22—61no—
712C22—61no—
713C22—61no—
714C22—61no—
715C22—102no—
716C22—201no—
717C22—201no—
718C22—601no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D3×D2011yescharacteristic
723C4—21no—
724C4—21no—
725C4—61no—
726C4—61no—
727C4—201no—
728C4—201no—
729C4—201no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4D5×#23511yescharacteristic
734C4#9201811yescharacteristic
735C3#1061117111yescharacteristic, complemented, Sylow
736C2—62no—
737C2—121no—
738C2—202no—
739C2—1201no—
740C2#1175274011yescharacteristic
741C2D3×#405011yescharacteristic
742C2#1175397011yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×C8C22
socleC22×C3×C5C22×D4
prime radical#11752736C2
hypercenterC4×C8D3×D5
hypocenterC3×C5#3296
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
2. #11752609C2semidirect
3. #11750798C2semidirect
4. C5×C8×D12C2semidirect
5. C3×C4×#677C2semidirect
6. #11748147C2semidirect
7. #11748137C2semidirect
8. #11748110C2semidirect
9. D3×#3953C2semidirect
10. #11747947C2semidirect
11. #11747946C2semidirect
12. #11747677C2semidirect
13. #11747623C2semidirect
14. #11747065C2semidirect
15. #11746888C2semidirect
20. #91759C22semidirect
22. C2×C5×D3×C8C22semidirect
26. C3×C4×Dic10C22semidirect
37. #91369C22semidirect
39. #91338C22semidirect
41. C2×#6662C22semidirect
43. C3×C4×C5×C8C22semidirect
46. #91100C22semidirect
47. #91100C22semidirect
49. C5×(C2×D3)⋊C8C22semidirect
50. C5×C4⋊(C3⋊C8)C22semidirect
52. C3×#3949C22semidirect
53. C3×#3948C22semidirect
54. #90990C22semidirect
55. #90987C22semidirect
56. #90974C22semidirect
75. C4×#677D3semidirect
142. C8×D12D5semidirect
168. C4×Dic10C2×D3semidirect
172. C4×C5×C8C2×D3semidirect
181. #3949C2×D3semidirect
185. #3948C2×D3semidirect
240. C2×D3×C8C2×D5semidirect
257. C3×C4×C8C2×D5semidirect
263. (C2×D3)⋊C8C2×D5semidirect
270. C4⋊(C3⋊C8)C2×D5semidirect
499. C4×C8D3×D5semidirect
626. C3×C5#3296semidirect
708. C5#79677semidirect
735. C3#10611171semidirect

Maximal subgroups

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

subgroupindex
#117527362
#117526092
#117507982
C5×C8×D122
C3×C4×#6772
#117481472
#117481372
#117481102
D3×#39532
#117479472
#117479462
#117476772
#117476232
#117470652
#117468882
#106111713
#796775