Finite Group Databasebeta

← #14458702

Subgroups — #14458702

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
2C5×#5541C211yesmaximal, characteristic, complemented
3C3×D4×#168C211yesmaximal, characteristic, complemented
4#11748566C211yesmaximal, characteristic, complemented
5#11748557C211yesmaximal, characteristic, complemented
6#11748554C211yesmaximal, characteristic, complemented
7#11748535C211yesmaximal, characteristic, complemented
8#11748444C211yesmaximal, characteristic, complemented
9C2×#90969C211yesmaximal, characteristic, complemented
10#11748393C211yesmaximal, characteristic, complemented
11#11748373C211yesmaximal, characteristic, complemented
12#11747102C211yesmaximal, characteristic, complemented
13C4×#6660C211yesmaximal, characteristic, complemented
14#11746913C211yesmaximal, characteristic, complemented
15#11746899C211yesmaximal, characteristic, complemented
16#10615329—31nomaximal, Hall
17C2×#6817C2211yescharacteristic
18C22×D60C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20#91826—21no—
21#91819C2211yescharacteristic
22#91813C2211yescharacteristic
23#91783—21no—
24#91773—21no—
25C22⋊C4×D15—21no—
26#91764C2211yescharacteristic
27C4×D60C2211yescharacteristic
28C5×#935—21no—
29C5×#926C2211yescharacteristic, complemented
30C2×C5×C4⋊Dic3C2211yescharacteristic
31C5×#924C2211yescharacteristic
32C5×#924C2211yescharacteristic, complemented
33C5×#889—21no—
34C5×#879—21no—
35C5×#877—21no—
36C5×#870C2211yescharacteristic, complemented
37C4×C5×Dic6C2211yescharacteristic, complemented
38C22×C3×#168C2211yescharacteristic
39C22×C3×#168C2211yescharacteristic, complemented
40C2×#6663C2211yescharacteristic, complemented
41C2×#6660C2211yescharacteristic
42C2×#6660C2211yescharacteristic
43C3×C22⋊#168C2211yescharacteristic
44C3×C22⋊#168C2211yescharacteristic, complemented
45C3×C4⋊#168C2211yescharacteristic, complemented
46C3×C4×#168C2211yescharacteristic, complemented
47#90988C2211yescharacteristic, complemented
48#90985C2211yescharacteristic, complemented
49#90985C2211yescharacteristic, complemented
50#90975C2211yescharacteristic, complemented
51#90975C2211yescharacteristic, complemented
52#90975C2211yescharacteristic, complemented
53#90973C2211yescharacteristic, complemented
54#90969C2211yescharacteristic
55#90969C2211yescharacteristic
56#90969C2211yescharacteristic
57#90969C2211yescharacteristic
58#90969C2211yescharacteristic
59#90969C2211yescharacteristic
60#79440—51nomaximal, Hall
61C5×#552—31no—
62#65884—31no—
63#65357—31no—
64#65355—31no—
65#65340—31no—
66#65337—31no—
67#65336—31no—
68#65335—31no—
69#65317—31no—
70C4×#688—31no—
71D4×#168D311yescharacteristic, complemented
72#65292—31no—
73#65291—31no—
74#65260—31no—
75C2×#3941—31no—
76C23×D15—21no—
77C2×C3×C5×D4D411yescharacteristic
78C22×C3×C4×C5C2311yescharacteristic
79C22×C3×C4×C5C2311yescharacteristic
80C2×#1220—21no—
81C2×#1220—21no—
82#6817—22no—
83#6817—41no—
84C2×D60—22no—
85C2×D60—21no—
86C2×D60—41no—
87C2×D60C2311yescharacteristic
88C2×D60C2311yescharacteristic
89C2×C4×D15—21no—
90C2×C4×D15—21no—
91C2×Dic30C2311yescharacteristic
92C22×C5×Dic3—21no—
93C2×C5×Dic6C2311yescharacteristic
94C3×C5×C4⋊C4D411yescharacteristic
95C3×C5×C22⋊C4D411yescharacteristic
96C3×C5×C22⋊C4D411yescharacteristic
97C3×C42×C5C2311yescharacteristic
98#6719—21no—
99#6714—21no—
100#6714—21no—
101#6714—21no—
102#6714—21no—
103C4⋊Dic15C2311yescharacteristic
104#6712—21no—
105C5×#217—21no—
106C5×#217—21no—
107C5×#217—21no—
108C5×C4⋊Dic3—21no—
109C5×C4⋊Dic3C2311yescharacteristic
110C5×C4⋊Dic3C2311yescharacteristic
111C5×C4⋊Dic3C2311yescharacteristic
112C5×Dic3⋊C4—21no—
113C5×Dic3⋊C4—21no—
114C5×Dic3⋊C4—21no—
115C5×Dic3⋊C4—21no—
116C5×Dic3⋊C4—21no—
117C4×C5×Dic3—21no—
118C4×C5×Dic3—21no—
119C2×C3×#168—41no—
120C2×C3×#168—41no—
121C2×C3×#168C2311yescharacteristic
122C2×C3×#168C2311yescharacteristic
123C2×C3×#168C2311yescharacteristic
124C2×C3×#168C2311yescharacteristic
125#6663—41no—
126#6660—22no—
127#6660—41no—
128#5550—51no—
129#5541D511yescharacteristic, complemented
130C3×C8×D4—51no—
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—
145C5×#126—61no—
146C5×#125—31no—
147C5×#125—61no—
148C5×#123—61no—
149C5×C22⋊Q8—31no—
150C5×C22⋊Q8—31no—
151C4×C5×Q8—31no—
152C4×C5×D4C2×D311yescharacteristic
153C5×#117—31no—
154C5×#117—61no—
155C2×C5×C4⋊C4—31no—
156C2×#689—31no—
157C2×#688—31no—
158C2×#688—31no—
159#4083—61no—
160#4076—31no—
161#4070—31no—
162C22×#168C2×D311yescharacteristic
163C22×#168C2×D311yescharacteristic, complemented
164#4040—61no—
165#4030—61no—
166D5×C22⋊C4—61no—
167#4021—31no—
168C4×D20—31no—
169#3967—31no—
170C22⋊#168C2×D311yescharacteristic
171C22⋊#168C2×D311yescharacteristic, complemented
172#3942—31no—
173#3942—31no—
174#3942—31no—
175#3941—31no—
176#3941—31no—
177#3941—31no—
178#3941—31no—
179#3941—31no—
180#3941—31no—
181#3940—31no—
182#3940—31no—
183#3939—31no—
184C4⋊#168C2×D311yescharacteristic, complemented
185C4×#168C2×D311yescharacteristic, complemented
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—
208D60—21no—
209D60—21no—
210D60—21no—
211D60—42no—
212D60#4112yes—
213C4×D15—42no—
214C4×D15—81no—
215Dic30—21no—
216Dic30—21no—
217C2×C5×Dic3—21no—
218C2×C5×Dic3—21no—
219C2×C5×Dic3—21no—
220C2×C5×Dic3—21no—
221C2×C5×Dic3—42no—
222C5×Dic6—21no—
223C5×Dic6—21no—
224C3×#168—21no—
225C3×#168—21no—
226C3×#168—21no—
227C3×#168—21no—
228C2×#235—51no—
229C22×D12—51no—
230C22×C3×C8—51no—
231C22×C3×C8—51no—
232C3×C4×D4C2×D511yescharacteristic
233#937—101no—
234#935—21no—
235#930—51no—
236#926C2×D511yescharacteristic, complemented
237C2×C4⋊Dic3C2×D511yescharacteristic
238#924—51no—
239#924C2×D511yescharacteristic
240#924C2×D511yescharacteristic, complemented
241C2×Dic12—51no—
242C2×#204—51no—
243C2×#204—51no—
244#894—101no—
245#889—21no—
246#884—101no—
247D3×C22⋊C4—101no—
248#879—21no—
249#877—21no—
250#875—51no—
251C4×D12—51no—
252#870C2×D511yescharacteristic, complemented
253C4×Dic6C2×D511yescharacteristic, complemented
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#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×Q8—31no—
273C2×C5×D4D1211yescharacteristic
274C22×C4×C5—61no—
275C22×C4×C5C22×D311yescharacteristic
276C22×C4×C5C22×D311yescharacteristic
277C2×C22⋊D5—61no—
278C2×C22⋊D5—61no—
279#709—62no—
280#709—121no—
281C2×D20—31no—
282C2×D20—31no—
283C2×D20—62no—
284C2×D20—61no—
285C2×D20—121no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C5×C4⋊C4—31no—
290C5×C4⋊C4—31no—
291C5×C4⋊C4—31no—
292C5×C4⋊C4—61no—
293C5×C4⋊C4—61no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4—61no—
296C5×C4⋊C4—61no—
297C5×C4⋊C4—61no—
298C5×C4⋊C4D1211yescharacteristic
299C5×C22⋊C4—61no—
300C5×C22⋊C4—61no—
301C5×C22⋊C4—61no—
302C5×C22⋊C4D1211yescharacteristic
303C5×C22⋊C4D1211yescharacteristic
304C42×C5—61no—
305C42×C5—61no—
306C42×C5C22×D311yescharacteristic
307C22⋊Dic5—61no—
308#689—121no—
309#688—62no—
310#688—121no—
311#685—61no—
312#685—61no—
313#685—61no—
314#685—61no—
315C4⋊Dic5—31no—
316#683—61no—
317C2×#168—41no—
318C2×#168—41no—
319C2×#168C22×D311yescharacteristic
320C2×#168C22×D311yescharacteristic
321C2×#168C22×D311yescharacteristic
322C2×#168C22×D311yescharacteristic
323#552—31no—
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—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—
360C5×Dic3—41no—
361C5×Dic3—41no—
362C5×Dic3—41no—
363C5×Dic3—41no—
364C23×D3—101no—
365C2×C3×D4C22⋊D511yescharacteristic
366C22×C3×C4C22×D511yescharacteristic
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—101no—
369C2×#67—101no—
370C22×Dic3—21no—
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×Dic6C22×D511yescharacteristic
382C2×C3×C8—51no—
383C2×C3×C8—51no—
384C2×C3×C8—51no—
385C2×C3×C8—51no—
386C2×C3×C8—201no—
387C2×C3×C8—201no—
388C3×C4⋊C4C22⋊D511yescharacteristic
389C3×C22⋊C4C22⋊D511yescharacteristic
390C3×C22⋊C4C22⋊D511yescharacteristic
391C3×C42C22×D511yescharacteristic
392#217—21no—
393#217—21no—
394#217—21no—
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—21no—
401C4⋊Dic3—51no—
402C4⋊Dic3C22×D511yescharacteristic
403C4⋊Dic3C22×D511yescharacteristic
404C4⋊Dic3C22×D511yescharacteristic
405Dic3⋊C4—21no—
406Dic3⋊C4—21no—
407Dic3⋊C4—21no—
408Dic3⋊C4—21no—
409Dic3⋊C4—21no—
410Dic3⋊C4—101no—
411C4×Dic3—21no—
412C4×Dic3—21no—
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×Q8—61no—
424C5×Q8—61no—
425C5×D4—22no—
426C2×C4×C5—21no—
427C2×C4×C5—21no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—61no—
431C2×C4×C5—61no—
432C2×C4×C5—61no—
433C2×C4×C5—61no—
434C2×C4×C5—122no—
435C2×C4×C5C2×D1211yescharacteristic
436C2×C4×C5C2×D1211yescharacteristic
437C2×C4×C5C2×D1211yescharacteristic
438C2×C4×C5C2×D1211yescharacteristic
439C2×C4×C5C23×D311yescharacteristic
440C22⋊D5—122no—
441C22⋊D5—241no—
442C2×Dic5—61no—
443C2×Dic5—61no—
444D20—32no—
445D20—61no—
446D20—61no—
447D20—61no—
448D20—122no—
449C4×D5—122no—
450C4×D5—241no—
451Dic10—61no—
452Dic10—61no—
453#168—21no—
454#168—21no—
455#168—21no—
456#168—21no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C22×C8—51no—
463C22×C8—51no—
464#126—61no—
465#125—31no—
466#125—61no—
467#124—151no—
468#123—61no—
469#123—301no—
470C22⋊Q8—31no—
471C22⋊Q8—31no—
472C22⋊Q8—151no—
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8—31no—
477C4×D4—151no—
478C4×D4D3×D511yescharacteristic
479#117—31no—
480#117—61no—
481C2×C4⋊C4—31no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8—51no—
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⋊C8—51no—
498C22⋊C8—51no—
499C4×C8—51no—
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×C22⋊D511yescharacteristic
508C23×C3C2×C22⋊D511yescharacteristic
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×C22⋊D511yescharacteristic
520C2×C3×C4C2×C22⋊D511yescharacteristic
521C2×C3×C4C2×C22⋊D511yescharacteristic
522C2×C3×C4C2×C22⋊D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—202no—
525#67—401no—
526C2×Dic3—21no—
527C2×Dic3—21no—
528C2×Dic3—21no—
529C2×Dic3—21no—
530C2×Dic3—42no—
531C2×Dic3—101no—
532C2×Dic3—101no—
533D12—52no—
534D12—101no—
535D12—101no—
536D12—101no—
537D12—202no—
538C4×D3—202no—
539C4×D3—401no—
540Dic6—21no—
541Dic6—21no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—101no—
545C3×C8—101no—
546C3×C8—101no—
547C3×C8—101no—
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—121no—
567C4×C5—121no—
568C4×C5—121no—
569C4×C5—121no—
570C4×C5#100411yescharacteristic
571C4×C5D3×#4111yescharacteristic
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—31no—
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×D4#120311yescharacteristic
587C22×C4—61no—
588C22×C4—301no—
589C22×C4—301no—
590C22×C4C2×D3×D511yescharacteristic
591C22×C4C2×D3×D511yescharacteristic
592Q16—601no—
593SD16—302no—
594SD16—601no—
595C2×C8—51no—
596C2×C8—51no—
597C2×C8—51no—
598C2×C8—51no—
599C2×C8—201no—
600C2×C8—201no—
601C4⋊C4—31no—
602C4⋊C4—31no—
603C4⋊C4—31no—
604C4⋊C4—61no—
605C4⋊C4—61no—
606C4⋊C4—61no—
607C4⋊C4—61no—
608C4⋊C4—61no—
609C4⋊C4—61no—
610C4⋊C4—151no—
611C4⋊C4—301no—
612C4⋊C4#120311yescharacteristic
613C22⋊C4—61no—
614C22⋊C4—61no—
615C22⋊C4—61no—
616C22⋊C4—301no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4#120311yescharacteristic
622C22⋊C4#120311yescharacteristic
623C42—61no—
624C42—61no—
625C42C2×D3×D511yescharacteristic
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—21no—
631C22×C3—21no—
632C22×C3#409612yes—
633C22×C3C22×C22⋊D511yescharacteristic
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×C4D5×#4111yescharacteristic
646C3×C4#414911yescharacteristic
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
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×#120311yescharacteristic
666C23C2×#120311yescharacteristic
667Q8—61no—
668Q8—61no—
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—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—122no—
688C2×C4—301no—
689C2×C4—301no—
690C2×C4—602no—
691C2×C4—1201no—
692C2×C4C2×#120311yescharacteristic
693C2×C4C2×#120311yescharacteristic
694C2×C4C2×#120311yescharacteristic
695C2×C4C2×#120311yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—101no—
698C8—101no—
699C8—101no—
700C8—101no—
701C2×C3—22no—
702C2×C3—41no—
703C2×C3C2×#409611yescharacteristic
704C2×C3#6616311yescharacteristic
705C2×C3#6617111yescharacteristic
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#9130312yes—
722C22C22×#120311yescharacteristic
723C4—21no—
724C4—21no—
725C4—21no—
726C4—21no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—121no—
731C4—601no—
732C4—601no—
733C4#9202411yescharacteristic
734C4#9202611yescharacteristic
735C3#1061532911yescharacteristic, complemented, Sylow
736C2—22no—
737C2—41no—
738C2—602no—
739C2—1201no—
740C2C2×#9130311yescharacteristic
741C2#1175498211yescharacteristic
742C2#1175530811yescharacteristic
subgroupG/H
centerC22C22×#1203
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radical#11756309C2
hypercenterC4×D4D3×D5
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
2. C5×#5541C2semidirect
3. C3×D4×#168C2semidirect
4. #11748566C2semidirect
5. #11748557C2semidirect
6. #11748554C2semidirect
7. #11748535C2semidirect
8. #11748444C2semidirect
9. C2×#90969C2semidirect
10. #11748393C2semidirect
11. #11748373C2semidirect
12. #11747102C2semidirect
13. C4×#6660C2semidirect
14. #11746913C2semidirect
15. #11746899C2semidirect
29. C5×#926C22semidirect
32. C5×#924C22semidirect
36. C5×#870C22semidirect
37. C4×C5×Dic6C22semidirect
39. C22×C3×#168C22semidirect
40. C2×#6663C22semidirect
44. C3×C22⋊#168C22semidirect
45. C3×C4⋊#168C22semidirect
46. C3×C4×#168C22semidirect
47. #90988C22semidirect
48. #90985C22semidirect
49. #90985C22semidirect
50. #90975C22semidirect
51. #90975C22semidirect
52. #90975C22semidirect
53. #90973C22semidirect
71. D4×#168D3semidirect
129. #5541D5semidirect
163. C22×#168C2×D3semidirect
171. C22⋊#168C2×D3semidirect
184. C4⋊#168C2×D3semidirect
185. C4×#168C2×D3semidirect
236. #926C2×D5semidirect
240. #924C2×D5semidirect
252. #870C2×D5semidirect
253. C4×Dic6C2×D5semidirect
626. C3×C5#3296semidirect
708. C5#79440semidirect
735. C3#10615329semidirect

Maximal subgroups

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

subgroupindex
#117563092
C5×#55412
C3×D4×#1682
#117485662
#117485572
#117485542
#117485352
#117484442
C2×#909692
#117483932
#117483732
#117471022
C4×#66602
#117469132
#117468992
#106153293
#794405