Finite Group Databasebeta

← #14458607

Subgroups — #14458607

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#11756389C211yesmaximal, characteristic
2#11756272C211yesmaximal, characteristic, complemented
3C3×C5×#483C211yesmaximal, characteristic, complemented
4#11751152C211yesmaximal, characteristic, complemented
5C2×#91093C211yesmaximal, characteristic, complemented
6#11750972C211yesmaximal, characteristic, complemented
7#11750967C211yesmaximal, characteristic, complemented
8#11750965C211yesmaximal, characteristic, complemented
9#11750953C211yesmaximal, characteristic, complemented
10#11750909C211yesmaximal, characteristic, complemented
11#11750905C211yesmaximal, characteristic, complemented
12#11750901C211yesmaximal, characteristic, complemented
13#11750899C211yesmaximal, characteristic, complemented
14#11750832C211yesmaximal, characteristic, complemented
15#11750826C211yesmaximal, characteristic, complemented
16#10613176—31nomaximal, Hall
17C2×#6821C2211yescharacteristic
18C22×D60C2211yescharacteristic
19C3×C5×C22⋊Q8C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21#91836C2211yescharacteristic
22C2×#6718C2211yescharacteristic, complemented
23#91818—21no—
24C4×#1220C2211yescharacteristic
25#91815—21no—
26#91813C2211yescharacteristic
27C22×C3⋊#168C2211yescharacteristic
28C2×#6706C2211yescharacteristic
29C2×#6706C2211yescharacteristic
30C2×C8×D15C2211yescharacteristic, complemented
31#91787—21no—
32#91786C2211yescharacteristic, complemented
33#91784—21no—
34#91784C2211yescharacteristic
35#91783—21no—
36#91782C2211yescharacteristic
37#91781C2211yescharacteristic, complemented
38#91779C2211yescharacteristic, complemented
39#91778—21no—
40#91776C2211yescharacteristic, complemented
41#91771—21no—
42C22⋊C4×D15—21no—
43C3×C5×#106C2211yescharacteristic, complemented
44C3×C5×#106C2211yescharacteristic, complemented
45C3×C5×#103C2211yescharacteristic, complemented
46C3×C5×#103C2211yescharacteristic, complemented
47C3×C5×C22⋊C8C2211yescharacteristic
48#91119C2211yescharacteristic, complemented
49#91105C2211yescharacteristic
50#91105C2211yescharacteristic
51#91104C2211yescharacteristic, complemented
52#91098C2211yescharacteristic, complemented
53C8×Dic15C2211yescharacteristic, complemented
54#91094C2211yescharacteristic, complemented
55#91093C2211yescharacteristic
56#91093C2211yescharacteristic
57#91093C2211yescharacteristic
58#91093C2211yescharacteristic
59#91091C2211yescharacteristic, complemented
60#81445—51nomaximal, Hall
61#65964—31no—
62#65847—31no—
63C5×#483D311yescharacteristic, complemented
64#65340—31no—
65C2×#3941—31no—
66#65160—31no—
67#65155—31no—
68#65153—31no—
69#65141—31no—
70#65099—31no—
71#65093—31no—
72#65089—31no—
73#65087—31no—
74#65020—31no—
75#65014—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C22×C3×C4×C5C2311yescharacteristic
80C2×#1220D411yescharacteristic
81#6821—22no—
82#6821—41no—
83C2×D60—22no—
84C2×D60—21no—
85C2×D60—21no—
86C2×D60—21no—
87C2×D60—41no—
88C2×D60C2311yescharacteristic
89C2×D60C2311yescharacteristic
90C2×C4×D15—21no—
91C2×C4×D15—21no—
92C2×C4×D15C2311yescharacteristic
93C2×Dic30C2311yescharacteristic
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4—21no—
97C3×C5×C4⋊C4—21no—
98C3×C5×C4⋊C4C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C4⋊C4C2311yescharacteristic
101C3×C5×C22⋊C4—21no—
102#6719—21no—
103#6719D411yescharacteristic
104#6718—41no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714D411yescharacteristic
112C4⋊Dic15—21no—
113C4⋊Dic15—21no—
114C4⋊Dic15C2311yescharacteristic
115#6712—21no—
116#6712—21no—
117#6712—21no—
118#6712D411yescharacteristic
119C4×Dic15—21no—
120C4×Dic15—21no—
121C4×Dic15C2311yescharacteristic
122C2×C3⋊#168—41no—
123C2×C3⋊#168C2311yescharacteristic
124C2×C3⋊#168C2311yescharacteristic
125#6706—22no—
126#6706—41no—
127C8×D15—41no—
128#5630—51no—
129#5513—51no—
130C3×#483D511yescharacteristic, complemented
131#5051—51no—
132C2×#809—51no—
133#4871—51no—
134#4866—51no—
135#4864—51no—
136#4852—51no—
137#4808—51no—
138#4804—51no—
139#4800—51no—
140#4798—51no—
141#4731—51no—
142#67⋊C8—51no—
143C2×#713—31no—
144C22×D20—31no—
145C5×C22⋊Q8C2×D311yescharacteristic
146C2×C5×C4⋊C4C2×D311yescharacteristic
147#4093—31no—
148C2×#689—31no—
149#4075—61no—
150C4×C22⋊D5—31no—
151#4072—61no—
152#4070—31no—
153C22×#168—31no—
154C2×#677—31no—
155C2×#677—31no—
156C2×C8×D5—31no—
157#4044—61no—
158#4043—31no—
159#4041—31no—
160#4041—61no—
161#4040—61no—
162#4039—31no—
163#4038—31no—
164#4036—31no—
165#4035—61no—
166#4033—31no—
167#4028—61no—
168D5×C22⋊C4—61no—
169C5×#106C2×D311yescharacteristic, complemented
170C5×#106C2×D311yescharacteristic, complemented
171C5×#103C2×D311yescharacteristic, complemented
172C5×#103C2×D311yescharacteristic, complemented
173C5×C22⋊C8C2×D311yescharacteristic
174#3967—31no—
175#3953—31no—
176#3953—31no—
177#3952—31no—
178#3946—31no—
179C8×Dic5—31no—
180#3942—31no—
181#3941—31no—
182#3941—31no—
183#3941—31no—
184#3941—31no—
185#3939—31no—
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×D15—21no—
189C22×D15—21no—
190C22×D15—42no—
191C22×D15—42no—
192C22×D15—81no—
193C22×D15C2×D411yescharacteristic
194C3×C5×Q8—21no—
195C3×C5×Q8—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—42no—
203C2×C3×C4×C5C2×D411yescharacteristic
204C2×C3×C4×C5C2411yescharacteristic
205#1220—22no—
206C2×Dic15—21no—
207C2×Dic15—21no—
208C2×Dic15C2×D411yescharacteristic
209C2×Dic15C2×D411yescharacteristic
210C2×Dic15C2×D411yescharacteristic
211D60—21no—
212D60—21no—
213D60—21no—
214D60—42no—
215D60—42no—
216D60—81no—
217D60#4112yes—
218C4×D15—21no—
219C4×D15—21no—
220C4×D15—42no—
221C4×D15—81no—
222Dic30—21no—
223Dic30—21no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3⋊#168—21no—
227C3⋊#168—21no—
228C2×#239—51no—
229C22×D12—51no—
230C3×C22⋊Q8C2×D511yescharacteristic
231C2×C3×C4⋊C4C2×D511yescharacteristic
232#947—51no—
233C2×#216—51no—
234#929—101no—
235C4×#67—51no—
236#926—101no—
237#924—51no—
238C22×C3⋊C8—51no—
239C2×#204—51no—
240C2×#204—51no—
241C2×D3×C8—51no—
242#898—101no—
243#897—51no—
244#895—51no—
245#895—101no—
246#894—101no—
247#893—51no—
248#892—51no—
249#890—51no—
250#889—101no—
251#887—51no—
252#882—101no—
253D3×C22⋊C4—101no—
254C3×#106C2×D511yescharacteristic, complemented
255C3×#106C2×D511yescharacteristic, complemented
256C3×#103C2×D511yescharacteristic, complemented
257C3×#103C2×D511yescharacteristic, complemented
258C3×C22⋊C8C2×D511yescharacteristic
259#835—51no—
260#821—51no—
261#821—51no—
262(C2×D3)⋊C8—51no—
263Dic3⋊C8—51no—
264C8×Dic3—51no—
265#810—51no—
266#809—51no—
267#809—51no—
268#809—51no—
269#809—51no—
270#807—51no—
271C23×D5—61no—
272C2×C5×Q8C22×D311yescharacteristic
273C22×C4×C5—21no—
274C22×C4×C5C22×D311yescharacteristic
275C2×C22⋊D5—31no—
276#713—62no—
277#713—121no—
278C2×D20—31no—
279C2×D20—31no—
280C2×D20—62no—
281C2×D20—61no—
282C2×D20—61no—
283C2×D20—61no—
284C2×D20—121no—
285C2×C4×D5—31no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C2×C5×C8C22×D311yescharacteristic
290C2×C5×C8C22×D311yescharacteristic
291C5×C4⋊C4—21no—
292C5×C4⋊C4—21no—
293C5×C4⋊C4C22×D311yescharacteristic
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—21no—
297C22⋊Dic5—31no—
298C22⋊Dic5—61no—
299#689—121no—
300#685—31no—
301#685—61no—
302#685—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306#685—61no—
307C4⋊Dic5—31no—
308C4⋊Dic5—61no—
309C4⋊Dic5—61no—
310#683—31no—
311#683—61no—
312#683—61no—
313#683—61no—
314C4×Dic5—31no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C2×#168—31no—
318C2×#168—31no—
319C2×#168—121no—
320#677—62no—
321#677—121no—
322C8×D5—121no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483D1511yescharacteristic, complemented
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—151no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—21no—
339C22×C3×C5—21no—
340C22×C3×C5#13512yes—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—21no—
343C2×D15—22no—
344C2×D15—21no—
345C2×D15—21no—
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—41no—
354C3×C4×C5—41no—
355C3×C4×C5—41no—
356C3×C4×C5—41no—
357C3×C4×C5C2×#4111yescharacteristic
358C3×C4×C5H(5,𝔽2)11yescharacteristic
359Dic15—21no—
360Dic15—21no—
361Dic15—21no—
362Dic15—41no—
363Dic15—41no—
364C23×D3—101no—
365C2×C3×Q8C22×D511yescharacteristic
366C22×C3×C4—21no—
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—51no—
369#239—102no—
370#239—201no—
371C2×D12—51no—
372C2×D12—51no—
373C2×D12—102no—
374C2×D12—101no—
375C2×D12—101no—
376C2×D12—101no—
377C2×D12—201no—
378C2×C4×D3—51no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×Dic6—51no—
382C2×C3×C8C22×D511yescharacteristic
383C2×C3×C8C22×D511yescharacteristic
384C3×C4⋊C4—21no—
385C3×C4⋊C4—21no—
386C3×C4⋊C4C22×D511yescharacteristic
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C22⋊C4—21no—
390#217—51no—
391#217—101no—
392#216—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—
399(C2×D3)⋊C4—101no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3—101no—
403Dic3⋊C4—51no—
404Dic3⋊C4—101no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407C4×Dic3—51no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C2×C3⋊C8—51no—
411C2×C3⋊C8—51no—
412C2×C3⋊C8—201no—
413#204—102no—
414#204—201no—
415D3×C8—201no—
416C23×C5D3×D411yescharacteristic
417C22×D5—31no—
418C22×D5—61no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×Q8—21no—
424C5×Q8—21no—
425C2×C4×C5—21no—
426C2×C4×C5—21no—
427C2×C4×C5—21no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—21no—
431C2×C4×C5—42no—
432C2×C4×C5D3×D411yescharacteristic
433C2×C4×C5C23×D311yescharacteristic
434C22⋊D5—62no—
435C2×Dic5—31no—
436C2×Dic5—31no—
437C2×Dic5—31no—
438C2×Dic5—61no—
439C2×Dic5—61no—
440D20—32no—
441D20—61no—
442D20—61no—
443D20—61no—
444D20—122no—
445D20—122no—
446D20—241no—
447C4×D5—61no—
448C4×D5—61no—
449C4×D5—122no—
450C4×D5—241no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8—21no—
455#168—61no—
456#168—61no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
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
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⋊C4C2×D1511yescharacteristic
482C2×C22⋊C4—301no—
483#107—151no—
484#106C2×D1511yescharacteristic, complemented
485#106C2×D1511yescharacteristic, complemented
486C4⋊C8—151no—
487#103—151no—
488#103—151no—
489#103C2×D1511yescharacteristic, complemented
490#103C2×D1511yescharacteristic, complemented
491#102—151no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—151no—
498C22⋊C8C2×D1511yescharacteristic
499C4×C8—151no—
500C2×C3×C5—22no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—41no—
505D15—42no—
506D15—81no—
507C23×C3D4×D511yescharacteristic
508C22×D3—51no—
509C22×D3—101no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×Q8—21no—
515C3×Q8—21no—
516C2×C3×C4—21no—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4—21no—
520C2×C3×C4—21no—
521C2×C3×C4—21no—
522C2×C3×C4—42no—
523C2×C3×C4D4×D511yescharacteristic
524C2×C3×C4C23×D511yescharacteristic
525#67—102no—
526C2×Dic3—51no—
527C2×Dic3—51no—
528C2×Dic3—51no—
529C2×Dic3—101no—
530C2×Dic3—101no—
531D12—52no—
532D12—101no—
533D12—101no—
534D12—101no—
535D12—202no—
536D12—202no—
537D12—401no—
538C4×D3—101no—
539C4×D3—101no—
540C4×D3—202no—
541C4×D3—401no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5#91612yes—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—61no—
553C2×D5—62no—
554C2×D5—61no—
555C2×D5—61no—
556C2×D5—121no—
557C2×D5—121no—
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×C5—41no—
567C4×C5D3×#4111yescharacteristic
568C4×C5#100911yescharacteristic
569Dic5—61no—
570Dic5—61no—
571Dic5—61no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—151no—
578C2×Q8C22×D1511yescharacteristic
579C2×D4—151no—
580C2×D4—151no—
581C2×D4—151no—
582C2×D4—302no—
583C2×D4—301no—
584C2×D4—301no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—21no—
588C22×C4—151no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C22×D1511yescharacteristic
592Q16—601no—
593SD16—302no—
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—21no—
603C4⋊C4—151no—
604C4⋊C4—151no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4C22×D1511yescharacteristic
611C4⋊C4C22×D1511yescharacteristic
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#406212yes—
630C22×C3C2×D4×D511yescharacteristic
631C2×D3—101no—
632C2×D3—101no—
633C2×D3—101no—
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—41no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4D5×#4111yescharacteristic
647C3×C4#414911yescharacteristic
648Dic3—101no—
649Dic3—101no—
650Dic3—101no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—22no—
654C2×C5#565411yescharacteristic
655C2×C5C2×#91611yescharacteristic
656C2×C5#577811yescharacteristic
657D5—121no—
658D5—122no—
659D5—241no—
660C23—151no—
661C23—301no—
662C23—301no—
663C23—602no—
664C23—602no—
665C23—1201no—
666C23D4×D1511yescharacteristic
667Q8—21no—
668Q8—21no—
669Q8—301no—
670Q8—301no—
671D4—152no—
672D4—302no—
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—21no—
684C2×C4—21no—
685C2×C4—42no—
686C2×C4—151no—
687C2×C4—151no—
688C2×C4—151no—
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—22no—
702C2×C3#6598811yescharacteristic
703C2×C3C2×#406211yescharacteristic
704C2×C3#6611211yescharacteristic
705D3—201no—
706D3—202no—
707D3—401no—
708C5#8144511yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—301no—
712C22—302no—
713C22—301no—
714C22—301no—
715C22—601no—
716C22—601no—
717C22—601no—
718C22—601no—
719C22—601no—
720C22—1204no—
721C22#9180512yes—
722C22C2×D4×D1511yescharacteristic
723C4—21no—
724C4—41no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—301no—
729C4—301no—
730C4—301no—
731C4—601no—
732C4—601no—
733C4#41×D1511yescharacteristic
734C4#9210011yescharacteristic
735C3#1061317611yescharacteristic, complemented, Sylow
736C2—22no—
737C2—601no—
738C2—602no—
739C2—1201no—
740C2#1175641311yescharacteristic
741C2C2×#9180511yescharacteristic
742C2#1175653711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#483C2
socleC22×C3×C5C22×D4
prime radical#11756389C2
hypercenter#483D15
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #483

Complements

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

NH ≅ G/Ntype
2. #11756272C2semidirect
3. C3×C5×#483C2semidirect
4. #11751152C2semidirect
5. C2×#91093C2semidirect
6. #11750972C2semidirect
7. #11750967C2semidirect
8. #11750965C2semidirect
9. #11750953C2semidirect
10. #11750909C2semidirect
11. #11750905C2semidirect
12. #11750901C2semidirect
13. #11750899C2semidirect
14. #11750832C2semidirect
15. #11750826C2semidirect
22. C2×#6718C22semidirect
30. C2×C8×D15C22semidirect
32. #91786C22semidirect
37. #91781C22semidirect
38. #91779C22semidirect
40. #91776C22semidirect
43. C3×C5×#106C22semidirect
44. C3×C5×#106C22semidirect
45. C3×C5×#103C22semidirect
46. C3×C5×#103C22semidirect
48. #91119C22semidirect
51. #91104C22semidirect
52. #91098C22semidirect
53. C8×Dic15C22semidirect
54. #91094C22semidirect
59. #91091C22semidirect
63. C5×#483D3semidirect
130. C3×#483D5semidirect
169. C5×#106C2×D3semidirect
170. C5×#106C2×D3semidirect
171. C5×#103C2×D3semidirect
172. C5×#103C2×D3semidirect
254. C3×#106C2×D5semidirect
255. C3×#106C2×D5semidirect
256. C3×#103C2×D5semidirect
257. C3×#103C2×D5semidirect
326. #483D15semidirect
484. #106C2×D15semidirect
485. #106C2×D15semidirect
489. #103C2×D15semidirect
490. #103C2×D15semidirect
626. C3×C5#3296semidirect
708. C5#81445semidirect
735. C3#10613176semidirect

Maximal subgroups

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

subgroupindex
#117563892
#117562722
C3×C5×#4832
#117511522
C2×#910932
#117509722
#117509672
#117509652
#117509532
#117509092
#117509052
#117509012
#117508992
#117508322
#117508262
#106131763
#814455