Finite Group Databasebeta

← #14435606

Subgroups — #14435606

Order 1920.

812 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756492C211yesmaximal, characteristic, complemented
2#11756304C211yesmaximal, characteristic, complemented
3C3×C5×#474C211yesmaximal, characteristic, complemented
4#11751185C211yesmaximal, characteristic, complemented
5#11751117C211yesmaximal, characteristic, complemented
6#11750990C211yesmaximal, characteristic, complemented
7#11750989C211yesmaximal, characteristic, complemented
8#11750986C211yesmaximal, characteristic, complemented
9#11750973C211yesmaximal, characteristic, complemented
10#11750945C211yesmaximal, characteristic, complemented
11#11750941C211yesmaximal, characteristic, complemented
12#11750886C211yesmaximal, characteristic, complemented
13#11750877C211yesmaximal, characteristic, complemented
14#11750874C211yesmaximal, characteristic
15#11750859C211yesmaximal, characteristic, complemented
16#10612683—31nomaximal, Hall
17C2×D4×D15C2211yescharacteristic
18C3×C5×C4⋊Q8C2211yescharacteristic, complemented
19C3×C4×C5×D4C2211yescharacteristic
20#91836—21no—
21#91835—21no—
22D4×Dic15C2211yescharacteristic
23C2×#6716C2211yescharacteristic
24C2×#6715C2211yescharacteristic
25C4×#1220—21no—
26C2×#6714—21no—
27C2×D120C2211yescharacteristic
28C2×#6706C2211yescharacteristic
29#91787—21no—
30#91786C2211yescharacteristic
31#91784C2211yescharacteristic
32#91783—21no—
33#91782C2211yescharacteristic
34#91782C2211yescharacteristic, complemented
35#91781C2211yescharacteristic
36#91776C2211yescharacteristic, complemented
37#91770—21no—
38C22⋊C4×D15—21no—
39#91764C2211yescharacteristic, complemented
40C4×D60C2211yescharacteristic
41#91761C2211yescharacteristic
42C3×C5×#107C2211yescharacteristic, complemented
43C3×C5×#107C2211yescharacteristic, complemented
44C3×C5×C4⋊C8C2211yescharacteristic, complemented
45C3×C5×#102C2211yescharacteristic
46C3×C5×#102C2211yescharacteristic
47#91105C2211yescharacteristic, complemented
48#91104C2211yescharacteristic
49#91104C2211yescharacteristic
50#91100C2211yescharacteristic, complemented
51#91099C2211yescharacteristic, complemented
52C8×Dic15C2211yescharacteristic, complemented
53#91094C2211yescharacteristic, complemented
54#91093C2211yescharacteristic
55#91093C2211yescharacteristic
56#91093C2211yescharacteristic, complemented
57#91092C2211yescharacteristic, complemented
58#91092C2211yescharacteristic, complemented
59C4⋊(C3⋊#168)C2211yescharacteristic, complemented
60#80952—51nomaximal, Hall
61#66067—31no—
62#65879—31no—
63C5×#474D311yescharacteristic, complemented
64#65373—31no—
65#65305—31no—
66#65178—31no—
67#65177—31no—
68#65174—31no—
69#65161—31no—
70#65133—31no—
71#65129—31no—
72#65074—31no—
73#65065—31no—
74#65062—31no—
75#65047—31no—
76C23×D15—21no—
77C2×C3×C5×Q8—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5—21no—
80C2×#1220—21no—
81C22×Dic15—21no—
82D4×D15—22no—
83D4×D15—22no—
84C2×D60—21no—
85C2×D60C2311yescharacteristic
86C2×D60C2311yescharacteristic
87C2×C4×D15—21no—
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×C4×D15C2311yescharacteristic
91C2×Dic30C2311yescharacteristic
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C22⋊C4—21no—
99C3×C42×C5C2311yescharacteristic
100#6719—21no—
101#6716—22no—
102#6715—22no—
103#6714—21no—
104#6714—21no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714D411yescharacteristic
112#6714D411yescharacteristic
113C4⋊Dic15—21no—
114C4⋊Dic15C2311yescharacteristic
115#6712—21no—
116#6712D411yescharacteristic
117#6712D411yescharacteristic
118C4×Dic15—21no—
119C4×Dic15—21no—
120C4×Dic15C2311yescharacteristic
121C2×C3⋊#168C2311yescharacteristic
122C2×C3⋊#168C2311yescharacteristic
123D120—22no—
124#6706—22no—
125#5733—51no—
126#5545—51no—
127C3×#474D511yescharacteristic, complemented
128#5084—51no—
129#5016—51no—
130#4889—51no—
131#4888—51no—
132#4885—51no—
133#4872—51no—
134#4844—51no—
135#4840—51no—
136#4785—51no—
137#4776—51no—
138#4773—51no—
139#4758—51no—
140C2×D4×D5—31no—
141C5×C4⋊Q8C2×D311yescharacteristic, complemented
142C4×C5×D4C2×D311yescharacteristic
143#4093—61no—
144#4092—61no—
145D4×Dic5—31no—
146C2×#687—31no—
147C2×#686—31no—
148C4×C22⋊D5—61no—
149C2×#685—61no—
150C2×D40—31no—
151C2×#677—31no—
152#4044—61no—
153#4043—31no—
154#4041—31no—
155#4040—61no—
156#4039—31no—
157#4039—31no—
158#4038—31no—
159#4033—31no—
160#4027—61no—
161D5×C22⋊C4—61no—
162#4021—31no—
163C4×D20—31no—
164#4018—31no—
165C5×#107C2×D311yescharacteristic, complemented
166C5×#107C2×D311yescharacteristic, complemented
167C5×C4⋊C8C2×D311yescharacteristic, complemented
168C5×#102C2×D311yescharacteristic
169C5×#102C2×D311yescharacteristic
170#3953—31no—
171#3952—31no—
172#3952—31no—
173#3948—31no—
174#3947—31no—
175C8×Dic5—31no—
176#3942—31no—
177#3941—31no—
178#3941—31no—
179#3941—31no—
180#3940—31no—
181#3940—31no—
182C4⋊#168—31no—
183#3118—151noSylow
184C23×C3×C5—21no—
185C22×D15—21no—
186C22×D15—24no—
187C22×D15—21no—
188C22×D15—81no—
189C22×D15—81no—
190C22×D15C2×D411yescharacteristic
191C3×C5×Q8—81no—
192C3×C5×D4—21no—
193C3×C5×D4#4112yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—81no—
198C2×C3×C4×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2×D411yescharacteristic
200C2×C3×C4×C5C2411yescharacteristic
201#1220—24no—
202C2×Dic15—21no—
203C2×Dic15—21no—
204C2×Dic15—81no—
205C2×Dic15C2×D411yescharacteristic
206C2×Dic15C2×D411yescharacteristic
207C2×Dic15C2×D411yescharacteristic
208D60—21no—
209D60—21no—
210D60—21no—
211D60—81no—
212D60#4112yes—
213C4×D15—21no—
214C4×D15—21no—
215C4×D15—81no—
216C4×D15—81no—
217C4×D15—81no—
218Dic30—21no—
219Dic30—21no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C2×D3×D4—51no—
225C3×C4⋊Q8C2×D511yescharacteristic, complemented
226C3×C4×D4C2×D511yescharacteristic
227#947—101no—
228#946—101no—
229D4×Dic3—51no—
230C2×#214—51no—
231C2×#213—51no—
232C4×#67—101no—
233C2×(C2×D3)⋊C4—101no—
234C2×D24—51no—
235C2×#204—51no—
236#898—101no—
237#897—51no—
238#895—51no—
239#894—101no—
240#893—51no—
241#893—51no—
242#892—51no—
243#887—51no—
244#67⋊C4—101no—
245D3×C22⋊C4—101no—
246#875—51no—
247C4×D12—51no—
248#872—51no—
249C3×#107C2×D511yescharacteristic, complemented
250C3×#107C2×D511yescharacteristic, complemented
251C3×C4⋊C8C2×D511yescharacteristic, complemented
252C3×#102C2×D511yescharacteristic
253C3×#102C2×D511yescharacteristic
254#821—51no—
255(C2×D3)⋊C8—51no—
256(C2×D3)⋊C8—51no—
257#816—51no—
258#815—51no—
259C8×Dic3—51no—
260#810—51no—
261#809—51no—
262#809—51no—
263#809—51no—
264#808—51no—
265#808—51no—
266C4⋊(C3⋊C8)—51no—
267C23×D5—61no—
268C2×C5×Q8—21no—
269C2×C5×D4C22×D311yescharacteristic
270C22×C4×C5—21no—
271C2×C22⋊D5—61no—
272C22×Dic5—61no—
273D4×D5—62no—
274D4×D5—62no—
275C2×D20—31no—
276C2×D20—31no—
277C2×D20—61no—
278C2×C4×D5—31no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×Dic10—31no—
283C2×C5×C8C22×D311yescharacteristic
284C2×C5×C8C22×D311yescharacteristic
285C5×C4⋊C4—21no—
286C5×C4⋊C4C22×D311yescharacteristic
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C22⋊C4—21no—
290C42×C5C22×D311yescharacteristic
291C22⋊Dic5—61no—
292#687—62no—
293#686—62no—
294#685—31no—
295#685—31no—
296#685—61no—
297#685—61no—
298#685—61no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303#685—61no—
304C4⋊Dic5—31no—
305C4⋊Dic5—61no—
306#683—31no—
307#683—31no—
308#683—61no—
309C4×Dic5—31no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314D40—62no—
315#677—62no—
316#542—151no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474D1511yescharacteristic, complemented
322#463—151no—
323#463—151no—
324#450—151no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—22no—
332C22×C3×C5—41no—
333C22×C3×C5—41no—
334C22×C3×C5C22×D411yescharacteristic
335C2×D15—21no—
336C2×D15—22no—
337C2×D15—21no—
338C2×D15—21no—
339C2×D15—41no—
340C2×D15—41no—
341C2×D15—41no—
342C2×D15—41no—
343C2×D15—41no—
344C2×D15—84no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—41no—
348C3×C4×C5—41no—
349C3×C4×C5—41no—
350C3×C4×C5C2×#4111yescharacteristic
351C3×C4×C5C2×#4111yescharacteristic
352Dic15—21no—
353Dic15—21no—
354Dic15—21no—
355Dic15—41no—
356Dic15—41no—
357C23×D3—101no—
358C2×C3×Q8—21no—
359C2×C3×D4C22×D511yescharacteristic
360C22×C3×C4—21no—
361C2×#67—101no—
362C22×Dic3—101no—
363D3×D4—102no—
364D3×D4—102no—
365C2×D12—51no—
366C2×D12—51no—
367C2×D12—101no—
368C2×C4×D3—51no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×Dic6—51no—
373C2×C3×C8C22×D511yescharacteristic
374C2×C3×C8C22×D511yescharacteristic
375C3×C4⋊C4—21no—
376C3×C4⋊C4C22×D511yescharacteristic
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—21no—
380C3×C42C22×D511yescharacteristic
381#217—101no—
382#214—102no—
383#213—102no—
384(C2×D3)⋊C4—51no—
385(C2×D3)⋊C4—51no—
386(C2×D3)⋊C4—101no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394C4⋊Dic3—51no—
395C4⋊Dic3—101no—
396Dic3⋊C4—51no—
397Dic3⋊C4—51no—
398Dic3⋊C4—101no—
399C4×Dic3—51no—
400C4×Dic3—101no—
401C4×Dic3—101no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404D24—102no—
405#204—102no—
406C23×C5—21no—
407C22×D5—31no—
408C22×D5—61no—
409C22×D5—64no—
410C22×D5—61no—
411C22×D5—241no—
412C22×D5—241no—
413C5×Q8—81no—
414C5×D4—21no—
415C5×D4#23912yes—
416C2×C4×C5—21no—
417C2×C4×C5—21no—
418C2×C4×C5—21no—
419C2×C4×C5—81no—
420C2×C4×C5D3×D411yescharacteristic
421C2×C4×C5D3×D411yescharacteristic
422C2×C4×C5C23×D311yescharacteristic
423C22⋊D5—64no—
424C2×Dic5—31no—
425C2×Dic5—31no—
426C2×Dic5—31no—
427C2×Dic5—61no—
428C2×Dic5—61no—
429C2×Dic5—241no—
430D20—32no—
431D20—61no—
432D20—61no—
433D20—61no—
434D20—241no—
435C4×D5—61no—
436C4×D5—61no—
437C4×D5—241no—
438C4×D5—241no—
439C4×D5—241no—
440Dic10—61no—
441Dic10—61no—
442C5×C8—21no—
443C5×C8—21no—
444#168—61no—
445#168—61no—
446C22×D4—151no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8C2×D1511yescharacteristic, complemented
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—301no—
465C4×D4—301no—
466C4×D4C2×D1511yescharacteristic
467#117—151no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107C2×D1511yescharacteristic, complemented
472#107C2×D1511yescharacteristic, complemented
473#106—151no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8C2×D1511yescharacteristic, complemented
477#103—151no—
478#103—151no—
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102C2×D1511yescharacteristic
484#102C2×D1511yescharacteristic
485C22⋊C8—151no—
486C22⋊C8—151no—
487#97—151no—
488C4×C8—151no—
489C2×C3×C5—42no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—41no—
494D15—42no—
495D15—81no—
496C23×C3—21no—
497C22×D3—51no—
498C22×D3—101no—
499C22×D3—104no—
500C22×D3—101no—
501C22×D3—401no—
502C22×D3—401no—
503C3×Q8—81no—
504C3×D4—21no—
505C3×D4#71312yes—
506C2×C3×C4—21no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—81no—
510C2×C3×C4D4×D511yescharacteristic
511C2×C3×C4D4×D511yescharacteristic
512C2×C3×C4C23×D511yescharacteristic
513#67—104no—
514C2×Dic3—51no—
515C2×Dic3—51no—
516C2×Dic3—51no—
517C2×Dic3—101no—
518C2×Dic3—101no—
519C2×Dic3—401no—
520D12—52no—
521D12—101no—
522D12—101no—
523D12—101no—
524D12—401no—
525C4×D3—101no—
526C4×D3—101no—
527C4×D3—401no—
528C4×D3—401no—
529C4×D3—401no—
530Dic6—101no—
531Dic6—101no—
532C3×C8—21no—
533C3×C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—22no—
537C22×C5—41no—
538C22×C5—41no—
539C22×C5C2×D3×D411yescharacteristic
540C2×D5—61no—
541C2×D5—61no—
542C2×D5—61no—
543C2×D5—62no—
544C2×D5—121no—
545C2×D5—121no—
546C2×D5—121no—
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—244no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—41no—
553C4×C5—41no—
554C4×C5—41no—
555C4×C5C2×#23911yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—61no—
558Dic5—61no—
559Dic5—61no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—21no—
564C2×Q8—151no—
565C2×D4—151no—
566C2×D4—151no—
567C2×D4—301no—
568C2×D4—301no—
569C2×D4—302no—
570C2×D4—302no—
571C2×D4C22×D1511yescharacteristic
572C22×C4—21no—
573C22×C4—151no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8C22×D1511yescharacteristic
585C2×C8C22×D1511yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—151no—
588C4⋊C4—151no—
589C4⋊C4—151no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C22×D1511yescharacteristic
593C4⋊C4C22×D1511yescharacteristic
594C4⋊C4C22×D1511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—151no—
597C22⋊C4—151no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—151no—
608C42—301no—
609C42—301no—
610C42C22×D1511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3C2×D4×D511yescharacteristic
616C2×D3—101no—
617C2×D3—101no—
618C2×D3—101no—
619C2×D3—102no—
620C2×D3—201no—
621C2×D3—201no—
622C2×D3—201no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4C2×#71311yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—101no—
634Dic3—101no—
635Dic3—101no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—42no—
639C2×C5#562711yescharacteristic
640C2×C5#575711yescharacteristic
641C2×C5#577811yescharacteristic
642D5—121no—
643D5—122no—
644D5—241no—
645C23—21no—
646C23—151no—
647C23—304no—
648C23—301no—
649C23—301no—
650C23—1201no—
651C23—1201no—
652Q8—81no—
653Q8—301no—
654Q8—301no—
655D4—21no—
656D4—152no—
657D4—304no—
658D4—301no—
659D4—301no—
660D4—301no—
661D4—1201no—
662D4#682112yes—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—81no—
667C2×C4—151no—
668C2×C4—151no—
669C2×C4—151no—
670C2×C4—301no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4D4×D1511yescharacteristic
679C2×C4D4×D1511yescharacteristic
680C2×C4C23×D1511yescharacteristic
681C8—21no—
682C8—21no—
683C8—301no—
684C8—301no—
685C2×C3—42no—
686C2×C3#6596111yescharacteristic
687C2×C3#6609111yescharacteristic
688C2×C3#6611211yescharacteristic
689D3—201no—
690D3—202no—
691D3—401no—
692C5#8095211yescharacteristic, complemented, Sylow
693C22—22no—
694C22—41no—
695C22—41no—
696C22—301no—
697C22—302no—
698C22—301no—
699C22—301no—
700C22—601no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D4×D1511yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—301no—
713C4—301no—
714C4—301no—
715C4—601no—
716C4—601no—
717C4C2×#682111yescharacteristic
718C4#41×D1511yescharacteristic
719C3#1061268311yescharacteristic, complemented, Sylow
720C2—42no—
721C2—601no—
722C2—602no—
723C2—1201no—
724C2#1175638611yescharacteristic
725C2#1175651611yescharacteristic
726C2#1175653711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#474C2
socleC22×C3×C5C22×D4
prime radical#11750874C2
hypercenter#474D15
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #474

Complements

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

NH ≅ G/Ntype
1. #11756492C2semidirect
2. #11756304C2semidirect
3. C3×C5×#474C2semidirect
4. #11751185C2semidirect
5. #11751117C2semidirect
6. #11750990C2semidirect
7. #11750989C2semidirect
8. #11750986C2semidirect
9. #11750973C2semidirect
10. #11750945C2semidirect
11. #11750941C2semidirect
12. #11750886C2semidirect
13. #11750877C2semidirect
15. #11750859C2semidirect
18. C3×C5×C4⋊Q8C22semidirect
34. #91782C22semidirect
36. #91776C22semidirect
39. #91764C22semidirect
42. C3×C5×#107C22semidirect
43. C3×C5×#107C22semidirect
44. C3×C5×C4⋊C8C22semidirect
47. #91105C22semidirect
50. #91100C22semidirect
51. #91099C22semidirect
52. C8×Dic15C22semidirect
53. #91094C22semidirect
56. #91093C22semidirect
57. #91092C22semidirect
58. #91092C22semidirect
59. C4⋊(C3⋊#168)C22semidirect
63. C5×#474D3semidirect
127. C3×#474D5semidirect
141. C5×C4⋊Q8C2×D3semidirect
165. C5×#107C2×D3semidirect
166. C5×#107C2×D3semidirect
167. C5×C4⋊C8C2×D3semidirect
225. C3×C4⋊Q8C2×D5semidirect
249. C3×#107C2×D5semidirect
250. C3×#107C2×D5semidirect
251. C3×C4⋊C8C2×D5semidirect
321. #474D15semidirect
451. C4⋊Q8C2×D15semidirect
471. #107C2×D15semidirect
472. #107C2×D15semidirect
476. C4⋊C8C2×D15semidirect
611. C3×C5#3118semidirect
692. C5#80952semidirect
719. C3#10612683semidirect

Maximal subgroups

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

subgroupindex
#117564922
#117563042
C3×C5×#4742
#117511852
#117511172
#117509902
#117509892
#117509862
#117509732
#117509452
#117509412
#117508862
#117508772
#117508742
#117508592
#106126833
#809525