Finite Group Databasebeta

← #14458653

Subgroups — #14458653

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#11754651C211yesmaximal, characteristic
2#11754400C211yesmaximal, characteristic, complemented
3#11751215C211yesmaximal, characteristic, complemented
4C5×#5113C211yesmaximal, characteristic, complemented
5C3×C8×C22⋊D5C211yesmaximal, characteristic, complemented
6#11748373C211yesmaximal, characteristic, complemented
7#11748361C211yesmaximal, characteristic, complemented
8#11748115C211yesmaximal, characteristic, complemented
9D5×#821C211yesmaximal, characteristic, complemented
10#11747985C211yesmaximal, characteristic, complemented
11#11747939C211yesmaximal, characteristic, complemented
12#11747857C211yesmaximal, characteristic, complemented
13#11747776C211yesmaximal, characteristic, complemented
14#11747744C211yesmaximal, characteristic, complemented
15#11747612C211yesmaximal, characteristic, complemented
16#10610576—31nomaximal, Hall
17C2×C5×#235C2211yescharacteristic
18C2×D5×D12C2211yescharacteristic
19C22×C3×C5×C8C2211yescharacteristic, complemented
20#91819C2211yescharacteristic
21#91813C2211yescharacteristic, complemented
22C2×#6706C2211yescharacteristic
23C5×#926C2211yescharacteristic, complemented
24C3×C4×C22⋊D5C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26#91577—21no—
27#91558—21no—
28#91548—21no—
29#91531—21no—
30D3×#685—21no—
31Dic5×D12C2211yescharacteristic
32D5×C4⋊Dic3C2211yescharacteristic
33#91393—21no—
34#91388C2211yescharacteristic, complemented
35#91379—21no—
36#91375C2211yescharacteristic
37#91360C2211yescharacteristic
38#91359C2211yescharacteristic
39#91351—21no—
40#91333C2211yescharacteristic, complemented
41C2×#6663C2211yescharacteristic, complemented
42C2×#6659C2211yescharacteristic
43#91105C2211yescharacteristic
44#91101C2211yescharacteristic, complemented
45#91100C2211yescharacteristic, complemented
46C5×#821C2211yescharacteristic
47C5×#821C2211yescharacteristic
48C5×#816C2211yescharacteristic, complemented
49C5×#816C2211yescharacteristic, complemented
50C3×C22⋊#168C2211yescharacteristic, complemented
51C3×#3952C2211yescharacteristic
52C3×#3946C2211yescharacteristic, complemented
53C3×C8×Dic5C2211yescharacteristic, complemented
54#90988C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90973C2211yescharacteristic, complemented
57#90969C2211yescharacteristic
58#90969C2211yescharacteristic
59#90967C2211yescharacteristic
60#79440—51nomaximal, Hall
61#66163—31no—
62#65863—31no—
63C5×#416—31no—
64#65528—31no—
65#65403—31no—
66C8×C22⋊D5D311yescharacteristic, complemented
67#65292—31no—
68#65102—31no—
69#65094—31no—
70#65089—31no—
71#65087—31no—
72#65065—31no—
73D5×#102—31no—
74#65052—31no—
75#65047—31no—
76C22×D3×D5—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×#1220—21no—
79C2×D60C2311yescharacteristic
80C2×Dic30C2311yescharacteristic
81C2×C5×#67—21no—
82C5×#235—22no—
83C5×#235—41no—
84C2×C5×D12C2311yescharacteristic
85C2×C4×C5×D3—21no—
86C2×C5×Dic6C2311yescharacteristic
87C2×C3×C22⋊D5D411yescharacteristic
88C2×C3×C4×D5C2311yescharacteristic
89C2×#1203—21no—
90C2×D3×Dic5—21no—
91C2×D5×Dic3—21no—
92D5×D12—22no—
93D5×D12—41no—
94C2×C3×C5×C8—41no—
95C2×C3×C5×C8C2311yescharacteristic
96C2×C3×C5×C8C2311yescharacteristic
97#6719—21no—
98#6714—21no—
99C4⋊Dic15C2311yescharacteristic
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102#6706—41no—
103C5×#217—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×C4⋊Dic3C2311yescharacteristic
106C4×C5×Dic3—21no—
107C3×C22⋊Dic5D411yescharacteristic
108C3×#685D411yescharacteristic
109C3×#683D411yescharacteristic
110C3×C4×Dic5C2311yescharacteristic
111C2×C3×#168C2311yescharacteristic
112C2×C3×#168C2311yescharacteristic
113C3×C8×D5—41no—
114Dic3⋊Dic5—21no—
115Dic3⋊Dic5—21no—
116#6669—21no—
117#6669—21no—
118#6669—21no—
119#6668—21no—
120#6667—21no—
121#6667—21no—
122(C2×D3)⋊Dic5—21no—
123#6665—21no—
124#6665—21no—
125Dic3×Dic5—21no—
126#6663—41no—
127#6659—22no—
128#5550—51no—
129#5541—51no—
130C3×C8×D4—51no—
131#5116—51no—
132#5114—51no—
133#5113D511yescharacteristic, complemented
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×C5×#41—31no—
144C2×D4×D5—31no—
145C22×C5×C8C2×D311yescharacteristic, complemented
146C5×#117—31no—
147#4093—31no—
148#4092—31no—
149C2×#689—31no—
150#4085—61no—
151#4083—61no—
152D4×Dic5—31no—
153C2×#687—31no—
154#4076—31no—
155#4075—61no—
156C4×C22⋊D5C2×D311yescharacteristic
157C2×#685—61no—
158#4070—31no—
159C2×#677—31no—
160C2×C8×D5C2×D311yescharacteristic
161#4043—31no—
162D5×C4⋊C4—31no—
163#4036—31no—
164#4033—31no—
165#4029—61no—
166#4025—61no—
167#4018—61no—
168#4016—61no—
169C5×#103—31no—
170C5×#103—31no—
171C5×#102—31no—
172C5×#102—31no—
173#3967—31no—
174#3964—31no—
175C22⋊#168C2×D311yescharacteristic, complemented
176#3953—31no—
177#3952C2×D311yescharacteristic
178#3949—31no—
179#3948—31no—
180#3946C2×D311yescharacteristic, complemented
181C8×Dic5C2×D311yescharacteristic, complemented
182#3941—31no—
183#3941—31no—
184#3940—31no—
185#3939—31no—
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×D15—21no—
189C22×C5×D3—21no—
190C22×C3×D5C2×D411yescharacteristic
191C2×D3×D5—42no—
192C2×D3×D5—42no—
193C2×D3×D5—81no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198#1220—81no—
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—21no—
202D60—21no—
203D60—21no—
204Dic30—21no—
205Dic30—21no—
206C5×#67—42no—
207C2×C5×Dic3—21no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3—21no—
210C5×D12—21no—
211C5×D12#4112yes—
212C4×C5×D3—42no—
213C5×Dic6—21no—
214C5×Dic6—21no—
215C3×C22⋊D5—22no—
216C2×C3×Dic5C2×D411yescharacteristic
217C2×C3×Dic5C2×D411yescharacteristic
218C2×C3×Dic5C2×D411yescharacteristic
219C3×C4×D5—21no—
220C3×C4×D5—21no—
221#1203—42no—
222D3×Dic5—81no—
223D5×Dic3—42no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3×#168—21no—
227C3×#168—21no—
228C2×#235C2×D511yescharacteristic
229C22×D12—51no—
230C22×C3×C8—51no—
231C22×C3×C8C2×D511yescharacteristic, complemented
232C3×C4×D4—51no—
233#937—101no—
234#935—101no—
235#930—51no—
236#926C2×D511yescharacteristic, complemented
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⋊C8—51no—
255C3×C22⋊C8—51no—
256C3×C22⋊C8—51no—
257C3×C4×C8—51no—
258#821—51no—
259#821—51no—
260#821—51no—
261#821—51no—
262#821C2×D511yescharacteristic
263#821C2×D511yescharacteristic
264#818—51no—
265#817—51no—
266#817—51no—
267#816—51no—
268#816—51no—
269#816C2×D511yescharacteristic, complemented
270#816C2×D511yescharacteristic, complemented
271C23×D5—61no—
272C5×#41—62no—
273C5×#41—121no—
274C2×C5×Q8—31no—
275C2×C5×D4—31no—
276C2×C5×D4—61no—
277C22×C4×C5—61no—
278C22×C4×C5C22×D311yescharacteristic
279C2×C22⋊D5—61no—
280C2×C22⋊D5—61no—
281C2×C22⋊D5D1211yescharacteristic
282C22×Dic5—61no—
283D4×D5—62no—
284D4×D5—121no—
285C2×D20—31no—
286C2×C4×D5—61no—
287C2×C4×D5C22×D311yescharacteristic
288C2×Dic10—31no—
289C2×C5×C8—41no—
290C2×C5×C8C22×D311yescharacteristic
291C2×C5×C8C22×D311yescharacteristic
292C5×C4⋊C4—31no—
293C5×C4⋊C4—31no—
294C5×C22⋊C4—61no—
295C42×C5—61no—
296C22⋊Dic5—61no—
297C22⋊Dic5—61no—
298C22⋊Dic5D1211yescharacteristic
299#689—121no—
300#687—62no—
301#685—61no—
302#685—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306#685D1211yescharacteristic
307C4⋊Dic5—31no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5—61no—
311#683—61no—
312#683—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683D1211yescharacteristic
317C4×Dic5—61no—
318C4×Dic5C22×D311yescharacteristic
319C2×#168C22×D311yescharacteristic
320C2×#168C22×D311yescharacteristic
321#677—121no—
322C8×D5—41no—
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×D4—51no—
336#416—31no—
337C2×#102—151no—
338C22×C3×C5—21no—
339C22×C3×C5—21no—
340C22×C3×C5—21no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—41no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—22no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5#13512yes—
351D3×D5—84no—
352C3×C4×C5—21no—
353C3×C4×C5C2×#4111yescharacteristic
354C3×C4×C5H(5,𝔽2)11yescharacteristic
355Dic15—41no—
356Dic15—41no—
357Dic15—41no—
358C3×Dic5—21no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C5×Dic3—41no—
362C5×Dic3—41no—
363C5×Dic3—41no—
364C23×D3—101no—
365C2×C3×D4—51no—
366C22×C3×C4—51no—
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—21no—
369C2×#67—101no—
370C22×Dic3—101no—
371#235—22no—
372#235—41no—
373C2×D12—51no—
374C2×D12—102no—
375C2×D12—101no—
376C2×D12—201no—
377C2×D12C22×D511yescharacteristic
378C2×C4×D3—21no—
379C2×C4×D3—101no—
380C2×Dic6—51no—
381C2×Dic6C22×D511yescharacteristic
382C2×C3×C8—41no—
383C2×C3×C8—51no—
384C2×C3×C8—51no—
385C2×C3×C8—201no—
386C2×C3×C8C22×D511yescharacteristic
387C2×C3×C8C22×D511yescharacteristic
388C3×C4⋊C4—51no—
389C3×C22⋊C4—51no—
390C3×C22⋊C4—51no—
391C3×C42—51no—
392#217—21no—
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—101no—
403C4⋊Dic3C22×D511yescharacteristic
404C4⋊Dic3C22×D511yescharacteristic
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—21no—
412C4×Dic3—101no—
413Dic12—201no—
414#204—102no—
415#204—201no—
416C23×C5—61no—
417C23×C5C2×D1211yescharacteristic
418C22×D5—61no—
419C22×D5—122no—
420C22×D5—122no—
421C22×D5—241no—
422C22×D5C2×D1211yescharacteristic
423C5×Q8—61no—
424C5×Q8—61no—
425C5×D4—32no—
426C5×D4—61no—
427C5×D4—122no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—61no—
431C2×C4×C5—61no—
432C2×C4×C5—61no—
433C2×C4×C5—122no—
434C2×C4×C5C2×D1211yescharacteristic
435C2×C4×C5C23×D311yescharacteristic
436C22⋊D5—22no—
437C22⋊D5—122no—
438C22⋊D5—241no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442C2×Dic5—241no—
443C2×Dic5C2×D1211yescharacteristic
444C2×Dic5C2×D1211yescharacteristic
445C2×Dic5C2×D1211yescharacteristic
446D20—61no—
447D20—61no—
448C4×D5—21no—
449C4×D5—21no—
450C4×D5—122no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8—21no—
455#168—21no—
456#168—21no—
457C2×#41—31no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C22×C8—51no—
463C22×C8D3×D511yescharacteristic, 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—51no—
478C4×D4—151no—
479#117—31no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8—51no—
487#103—31no—
488#103—31no—
489#103—151no—
490#103—151no—
491#102—31no—
492#102—31no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—51no—
498C22⋊C8—51no—
499C4×C8—51no—
500C2×C3×C5—41no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—81no—
505C3×D5—22no—
506C5×D3—42no—
507C23×C3—51no—
508C23×C3D4×D511yescharacteristic
509C22×D3—21no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×D4—102no—
515C2×C3×C4—21no—
516C2×C3×C4—21no—
517C2×C3×C4—51no—
518C2×C3×C4—51no—
519C2×C3×C4—51no—
520C2×C3×C4—101no—
521C2×C3×C4—101no—
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—42no—
525#67—401no—
526C2×Dic3—21no—
527C2×Dic3—21no—
528C2×Dic3—21no—
529C2×Dic3—101no—
530C2×Dic3—101no—
531C2×Dic3—101no—
532C2×Dic3—202no—
533D12—21no—
534D12—101no—
535D12—101no—
536D12—202no—
537D12#70912yes—
538C4×D3—42no—
539C4×D3—401no—
540Dic6—21no—
541Dic6—21no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—101no—
547C3×C8—101no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5—21no—
551C22×C5—62no—
552C22×C5—121no—
553C22×C5—121no—
554C22×C5C22×D1211yescharacteristic
555C2×D5—21no—
556C2×D5—21no—
557C2×D5—121no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—244no—
561C2×D5#90412yes—
562C4×C5—21no—
563C4×C5—121no—
564C4×C5—121no—
565C4×C5—121no—
566C4×C5#100411yescharacteristic
567C4×C5D3×#4111yescharacteristic
568Dic5—21no—
569Dic5—21no—
570Dic5—21no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—62no—
576#41—121no—
577C2×Q8—31no—
578C2×Q8—151no—
579C2×D4—31no—
580C2×D4—51no—
581C2×D4—61no—
582C2×D4—151no—
583C2×D4—301no—
584C2×D4—302no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—51no—
588C22×C4—61no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C2×D3×D511yescharacteristic
592Q16—601no—
593SD16—302no—
594SD16—601no—
595C2×C8—41no—
596C2×C8—51no—
597C2×C8—51no—
598C2×C8—201no—
599C2×C8C2×D3×D511yescharacteristic
600C2×C8C2×D3×D511yescharacteristic
601C4⋊C4—31no—
602C4⋊C4—31no—
603C4⋊C4—51no—
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⋊C4—301no—
613C22⋊C4—51no—
614C22⋊C4—51no—
615C22⋊C4—61no—
616C22⋊C4—301no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—51no—
624C42—61no—
625C42—301no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—52no—
631C22×C3—101no—
632C22×C3—101no—
633C22×C3C2×D4×D511yescharacteristic
634C2×D3—22no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—101no—
643C3×C4—101no—
644C3×C4—101no—
645C3×C4C2×#70911yescharacteristic
646C3×C4#414411yescharacteristic
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—41no—
654C2×C5—122no—
655C2×C5#555411yescharacteristic
656C2×C5C2×#90411yescharacteristic
657C2×C5#575111yescharacteristic
658D5—22no—
659D5—241no—
660C23—51no—
661C23—61no—
662C23—301no—
663C23—602no—
664C23—602no—
665C23—1201no—
666C23D5×D1211yescharacteristic
667Q8—61no—
668Q8—61no—
669Q8—301no—
670Q8—301no—
671D4—32no—
672D4—61no—
673D4—102no—
674D4—122no—
675D4—301no—
676D4—301no—
677D4—602no—
678D4—1201no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—51no—
682C2×C4—51no—
683C2×C4—51no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—101no—
688C2×C4—101no—
689C2×C4—122no—
690C2×C4—301no—
691C2×C4—301no—
692C2×C4—301no—
693C2×C4—602no—
694C2×C4—1201no—
695C2×C4D5×D1211yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—21no—
698C8—21no—
699C8—101no—
700C8—101no—
701C2×C3—41no—
702C2×C3—102no—
703C2×C3#6582411yescharacteristic
704C2×C3D5×#13511yescharacteristic
705C2×C3#6610411yescharacteristic
706D3—42no—
707D3—401no—
708C5#7944011yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—21no—
712C22—52no—
713C22—62no—
714C22—101no—
715C22—101no—
716C22—121no—
717C22—121no—
718C22—601no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D5×D1211yescharacteristic
723C4—21no—
724C4—101no—
725C4—101no—
726C4—101no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4D3×#70911yescharacteristic
734C4#9204911yescharacteristic
735C3#1061057611yescharacteristic, complemented, Sylow
736C2—41no—
737C2—102no—
738C2—122no—
739C2—1201no—
740C2D5×#90411yescharacteristic
741C2#1175396211yescharacteristic
742C2#1175464611yescharacteristic
subgroupG/H
centerC22C2×D5×D12
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×C8C22
socleC22×C3×C5C22×D4
prime radical#11754651C2
hypercenterC22×C8D3×D5
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. #11754400C2semidirect
3. #11751215C2semidirect
4. C5×#5113C2semidirect
5. C3×C8×C22⋊D5C2semidirect
6. #11748373C2semidirect
7. #11748361C2semidirect
8. #11748115C2semidirect
9. D5×#821C2semidirect
10. #11747985C2semidirect
11. #11747939C2semidirect
12. #11747857C2semidirect
13. #11747776C2semidirect
14. #11747744C2semidirect
15. #11747612C2semidirect
19. C22×C3×C5×C8C22semidirect
21. #91813C22semidirect
23. C5×#926C22semidirect
34. #91388C22semidirect
40. #91333C22semidirect
41. C2×#6663C22semidirect
44. #91101C22semidirect
45. #91100C22semidirect
48. C5×#816C22semidirect
49. C5×#816C22semidirect
50. C3×C22⋊#168C22semidirect
52. C3×#3946C22semidirect
53. C3×C8×Dic5C22semidirect
54. #90988C22semidirect
55. #90985C22semidirect
56. #90973C22semidirect
66. C8×C22⋊D5D3semidirect
133. #5113D5semidirect
145. C22×C5×C8C2×D3semidirect
175. C22⋊#168C2×D3semidirect
180. #3946C2×D3semidirect
181. C8×Dic5C2×D3semidirect
231. C22×C3×C8C2×D5semidirect
236. #926C2×D5semidirect
269. #816C2×D5semidirect
270. #816C2×D5semidirect
463. C22×C8D3×D5semidirect
626. C3×C5#3296semidirect
708. C5#79440semidirect
735. C3#10610576semidirect

Maximal subgroups

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

subgroupindex
#117546512
#117544002
#117512152
C5×#51132
C3×C8×C22⋊D52
#117483732
#117483612
#117481152
D5×#8212
#117479852
#117479392
#117478572
#117477762
#117477442
#117476122
#106105763
#794405