Finite Group Databasebeta

← #14459111

Subgroups — #14459111

Order 1920.

840 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#1220C211yesmaximal, characteristic, complemented
2#11756266C211yesmaximal, characteristic
3C2×C3×C5×#103C211yesmaximal, characteristic, complemented
4#11751328C211yesmaximal, characteristic, complemented
5#11751215C211yesmaximal, characteristic, complemented
6C8×#1220C211yesmaximal, characteristic, complemented
7#11751072C211yesmaximal, characteristic, complemented
8#11750919C211yesmaximal, characteristic, complemented
9#11750908C211yesmaximal, characteristic, complemented
10#11750907C211yesmaximal, characteristic, complemented
11#11750906C211yesmaximal, characteristic, complemented
12D15×#103C211yesmaximal, characteristic, complemented
13#11750893C211yesmaximal, characteristic, complemented
14#11750892C211yesmaximal, characteristic, complemented
15#11750889C211yesmaximal, characteristic, complemented
16#10610536—31nomaximal, Hall
17C22×C3×C5×Q8C2211yescharacteristic
18C2×Q8×D15C2211yescharacteristic
19C2×#6817—21no—
20C22×C3×C5×C8C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22#91835—21no—
23#91835C2211yescharacteristic
24Q8×Dic15C2211yescharacteristic
25#91833—21no—
26#91833C2211yescharacteristic
27C2×#6717C2211yescharacteristic
28C2×#6717C2211yescharacteristic
29#91819C2211yescharacteristic
30#91818—21no—
31C4×#1220—21no—
32C4×#1220C2211yescharacteristic
33#91813—21no—
34#91813C2211yescharacteristic
35C2×#6706C2211yescharacteristic
36C2×C8×D15C2211yescharacteristic
37#91785—21no—
38#91784C2211yescharacteristic
39#91783—21no—
40#91782C2211yescharacteristic
41C4⋊C4×D15C2211yescharacteristic
42#91777C2211yescharacteristic
43C3×C5×#103C2211yescharacteristic
44C3×C5×#103C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46C3×C5×#103C2211yescharacteristic
47#91119C2211yescharacteristic
48#91119C2211yescharacteristic
49#91114C2211yescharacteristic
50#91105C2211yescharacteristic
51#91104C2211yescharacteristic
52#91101C2211yescharacteristic
53#91100C2211yescharacteristic
54#91098C2211yescharacteristic
55C8×Dic15C2211yescharacteristic
56#91094C2211yescharacteristic
57#91094C2211yescharacteristic
58#91092C2211yescharacteristic
59#91092C2211yescharacteristic
60#78805—51nomaximal, Hall
61Q8×C22⋊D5—31no—
62#65841—31no—
63C2×C5×#103D311yescharacteristic, complemented
64#65516—31no—
65#65403—31no—
66C8×C22⋊D5—31no—
67#65260—31no—
68#65107—31no—
69#65096—31no—
70#65095—31no—
71#65094—31no—
72D5×#103—31no—
73#65081—31no—
74#65080—31no—
75#65077—31no—
76C2×C3×C5×Q8—21no—
77C2×C3×C5×Q8—22no—
78C2×C3×C5×Q8—41no—
79C2×C3×C5×Q8C2311yescharacteristic
80C2×C3×C5×Q8C2311yescharacteristic
81C22×C3×C4×C5—21no—
82C22×C3×C4×C5—21no—
83C22×C3×C4×C5C2311yescharacteristic
84C2×#1220—21no—
85C2×#1220D411yescharacteristic
86Q8×D15—22no—
87Q8×D15—41no—
88#6817—44no—
89C2×D60—21no—
90C2×D60C2311yescharacteristic
91C2×C4×D15—21no—
92C2×C4×D15—21no—
93C2×C4×D15—21no—
94C2×C4×D15C2311yescharacteristic
95C2×Dic30—21no—
96C2×Dic30—21no—
97C2×Dic30C2311yescharacteristic
98C2×C3×C5×C8—41no—
99C2×C3×C5×C8C2311yescharacteristic
100C2×C3×C5×C8C2311yescharacteristic
101C3×C5×C4⋊C4—21no—
102C3×C5×C4⋊C4C2311yescharacteristic
103C3×C5×C4⋊C4C2311yescharacteristic
104#6719—21no—
105#6719D411yescharacteristic
106#6717—22no—
107#6717—41no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112#6714D411yescharacteristic
113C4⋊Dic15—21no—
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116#6712—21no—
117#6712—21no—
118#6712—21no—
119#6712—21no—
120#6712—21no—
121#6712—21no—
122#6712D411yescharacteristic
123C4×Dic15—21no—
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127#6706—41no—
128C8×D15—41no—
129Q8×#67—51no—
130#5507—51no—
131C2×C3×#103D511yescharacteristic, complemented
132#5227—51no—
133#5114—51no—
134C8×#67—51no—
135#4971—51no—
136#4818—51no—
137#4807—51no—
138#4806—51no—
139#4805—51no—
140D3×#103—51no—
141#4792—51no—
142#4791—51no—
143#4788—51no—
144C22×C5×Q8C2×D311yescharacteristic
145C2×Q8×D5—31no—
146C2×#709—61no—
147C22×C5×C8C2×D311yescharacteristic
148C2×C5×C4⋊C4C2×D311yescharacteristic
149#4092—31no—
150#4092—61no—
151Q8×Dic5—31no—
152#4090—31no—
153#4090—61no—
154C2×#688—31no—
155C2×#688—31no—
156#4076—31no—
157#4075—61no—
158C4×C22⋊D5—31no—
159C4×C22⋊D5—61no—
160#4070—31no—
161#4070—61no—
162C2×#677—31no—
163C2×C8×D5—31no—
164#4042—61no—
165#4041—31no—
166#4040—61no—
167#4039—31no—
168D5×C4⋊C4—31no—
169#4034—31no—
170C5×#103C2×D311yescharacteristic
171C5×#103C2×D311yescharacteristic
172C5×#103C2×D311yescharacteristic
173C5×#103C2×D311yescharacteristic
174#3967—31no—
175#3967—31no—
176C22⋊#168—31no—
177#3953—31no—
178#3952—31no—
179#3949—31no—
180#3948—31no—
181#3946—31no—
182C8×Dic5—31no—
183#3942—31no—
184#3942—31no—
185#3940—31no—
186#3940—31no—
187#3298—151noSylow
188C23×C3×C5C2×D411yescharacteristic
189C22×D15—21no—
190C22×D15C2×D411yescharacteristic
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C3×C5×Q8—21no—
194C3×C5×Q8—42no—
195C3×C5×Q8#4112yescomplemented
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×C5—42no—
204C2×C3×C4×C5C2×D411yescharacteristic
205C2×C3×C4×C5C2411yescharacteristic
206#1220—42no—
207#1220SD1614yescomplemented
208C2×Dic15—21no—
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15C2×D411yescharacteristic
212C2×Dic15C2×D411yescharacteristic
213C2×Dic15C2×D411yescharacteristic
214D60—21no—
215D60—21no—
216D60—42no—
217C4×D15—21no—
218C4×D15—21no—
219C4×D15—42no—
220C4×D15—42no—
221C4×D15—42no—
222Dic30—21no—
223Dic30—21no—
224Dic30—42no—
225Dic30—42no—
226C3×C5×C8—21no—
227C3×C5×C8—21no—
228C3⋊#168—21no—
229C3⋊#168—21no—
230C22×C3×Q8C2×D511yescharacteristic
231C2×D3×Q8—51no—
232C2×#235—101no—
233C22×C3×C8C2×D511yescharacteristic
234C2×C3×C4⋊C4C2×D511yescharacteristic
235#946—51no—
236#946—101no—
237Q8×Dic3—51no—
238#944—51no—
239#944—101no—
240C2×#215—51no—
241C2×#215—51no—
242#930—51no—
243#929—101no—
244C4×#67—51no—
245C4×#67—101no—
246#924—51no—
247#924—101no—
248C2×#204—51no—
249C2×D3×C8—51no—
250#896—101no—
251#895—51no—
252#894—101no—
253#893—51no—
254D3×C4⋊C4—51no—
255#888—51no—
256C3×#103C2×D511yescharacteristic
257C3×#103C2×D511yescharacteristic
258C3×#103C2×D511yescharacteristic
259C3×#103C2×D511yescharacteristic
260#835—51no—
261#835—51no—
262#830—51no—
263#821—51no—
264(C2×D3)⋊C8—51no—
265#817—51no—
266#816—51no—
267Dic3⋊C8—51no—
268C8×Dic3—51no—
269#810—51no—
270#810—51no—
271#808—51no—
272#808—51no—
273C2×C5×Q8—21no—
274C2×C5×Q8—22no—
275C2×C5×Q8—41no—
276C2×C5×Q8C22×D311yescharacteristic
277C2×C5×Q8C22×D311yescharacteristic
278C22×C4×C5—21no—
279C22×C4×C5—21no—
280C22×C4×C5C22×D311yescharacteristic
281C2×C22⋊D5—31no—
282C2×C22⋊D5—61no—
283Q8×D5—62no—
284Q8×D5—121no—
285#709—124no—
286C2×D20—31no—
287C2×D20—61no—
288C2×C4×D5—31no—
289C2×C4×D5—61no—
290C2×C4×D5—61no—
291C2×C4×D5—61no—
292C2×Dic10—31no—
293C2×Dic10—61no—
294C2×Dic10—61no—
295C2×C5×C8—41no—
296C2×C5×C8C22×D311yescharacteristic
297C2×C5×C8C22×D311yescharacteristic
298C5×C4⋊C4—21no—
299C5×C4⋊C4C22×D311yescharacteristic
300C5×C4⋊C4C22×D311yescharacteristic
301C22⋊Dic5—31no—
302C22⋊Dic5—61no—
303#688—62no—
304#688—121no—
305#685—31no—
306#685—61no—
307#685—61no—
308#685—61no—
309#685—61no—
310C4⋊Dic5—31no—
311C4⋊Dic5—31no—
312C4⋊Dic5—61no—
313#683—31no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318#683—61no—
319#683—61no—
320C4×Dic5—31no—
321C4×Dic5—61no—
322C2×#168—31no—
323C2×#168—31no—
324#677—121no—
325C8×D5—121no—
326D4×Q8—151no—
327#547—151no—
328#487—151no—
329#483—151no—
330#483—151no—
331#475—151no—
332#465—151no—
333#465—151no—
334#461—151no—
335#448—151no—
336#448—151no—
337C4×SD16—151no—
338C8×D4—151no—
339C2×#103—151no—
340C2×#103D1511yescharacteristic, complemented
341C22×C3×C5—21no—
342C22×C3×C5—21no—
343C22×C3×C5C2×SD1612yes—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—21no—
346C2×D15—21no—
347C2×D15—41no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15C2×SD1612yes—
351C3×C4×C5—22no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5—41no—
355C3×C4×C5—41no—
356C3×C4×C5C2×#4111yescharacteristic
357C3×C4×C5H(5,𝔽2)11yescharacteristic
358Dic15—21no—
359Dic15—21no—
360Dic15—41no—
361Dic15—41no—
362Dic15—41no—
363Dic15C2×SD1612yes—
364C2×C3×Q8—21no—
365C2×C3×Q8—22no—
366C2×C3×Q8—41no—
367C2×C3×Q8C22×D511yescharacteristic
368C2×C3×Q8C22×D511yescharacteristic
369C22×C3×C4—21no—
370C22×C3×C4—21no—
371C22×C3×C4C22×D511yescharacteristic
372C2×#67—51no—
373C2×#67—101no—
374D3×Q8—102no—
375D3×Q8—201no—
376#235—204no—
377C2×D12—51no—
378C2×D12—101no—
379C2×C4×D3—51no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×C4×D3—101no—
383C2×Dic6—51no—
384C2×Dic6—101no—
385C2×Dic6—101no—
386C2×C3×C8—41no—
387C2×C3×C8C22×D511yescharacteristic
388C2×C3×C8C22×D511yescharacteristic
389C3×C4⋊C4—21no—
390C3×C4⋊C4C22×D511yescharacteristic
391C3×C4⋊C4C22×D511yescharacteristic
392#217—51no—
393#217—101no—
394#215—102no—
395#215—201no—
396(C2×D3)⋊C4—51no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400(C2×D3)⋊C4—101no—
401C4⋊Dic3—51no—
402C4⋊Dic3—51no—
403C4⋊Dic3—101no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—51no—
412C4×Dic3—101no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8—51no—
415#204—201no—
416D3×C8—201no—
417C23×C5D3×D411yescharacteristic
418C22×D5—31no—
419C22×D5—61no—
420C5×Q8—21no—
421C5×Q8—21no—
422C5×Q8—21no—
423C5×Q8—42no—
424C5×Q8#23512yescomplemented
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×C5—42no—
433C2×C4×C5D3×D411yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—34no—
436C22⋊D5—122no—
437C2×Dic5—31no—
438C2×Dic5—31no—
439C2×Dic5—31no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442C2×Dic5—61no—
443D20—61no—
444D20—61no—
445D20—122no—
446C4×D5—61no—
447C4×D5—61no—
448C4×D5—122no—
449C4×D5—122no—
450C4×D5—122no—
451Dic10—61no—
452Dic10—61no—
453Dic10—122no—
454Dic10—122no—
455C5×C8—21no—
456C5×C8—21no—
457#168—61no—
458#168—61no—
459C2×#41—301no—
460C22×Q8—151no—
461C22×Q8C2×D1511yescharacteristic
462C2×SD16—151no—
463C2×SD16—151no—
464C2×SD16—151no—
465C22×C8—151no—
466C22×C8C2×D1511yescharacteristic
467C4⋊Q8—151no—
468C4⋊Q8—151no—
469C4⋊Q8—301no—
470#123—301no—
471#123—301no—
472C22⋊Q8—151no—
473C22⋊Q8—151no—
474C22⋊Q8—301no—
475C22⋊Q8—301no—
476C22⋊Q8—301no—
477#121—151no—
478#121—151no—
479C4×Q8—151no—
480C4×D4—151no—
481C4×D4—151no—
482C4×D4—301no—
483C2×C4⋊C4—151no—
484C2×C4⋊C4C2×D1511yescharacteristic
485#106—151no—
486#106—151no—
487#106—151no—
488C4⋊C8—151no—
489#103—151no—
490#103—151no—
491#103—151no—
492#103—151no—
493#103—151no—
494#103C2×D1511yescharacteristic
495#103C2×D1511yescharacteristic
496#103C2×D1511yescharacteristic
497#103C2×D1511yescharacteristic
498#102—151no—
499C22⋊C8—151no—
500C22⋊C8—151no—
501C4×C8—151no—
502C2×C3×C5—22no—
503C2×C3×C5#54611yescharacteristic
504C2×C3×C5C22×SD1611yescharacteristic
505C2×C3×C5#57811yescharacteristic
506D15—22no—
507D15—81no—
508C23×C3D4×D511yescharacteristic
509C22×D3—51no—
510C22×D3—101no—
511C3×Q8—21no—
512C3×Q8—21no—
513C3×Q8—21no—
514C3×Q8—42no—
515C3×Q8#70912yescomplemented
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×C4—42no—
524C2×C3×C4D4×D511yescharacteristic
525C2×C3×C4C23×D511yescharacteristic
526#67—54no—
527#67—202no—
528C2×Dic3—51no—
529C2×Dic3—51no—
530C2×Dic3—51no—
531C2×Dic3—101no—
532C2×Dic3—101no—
533C2×Dic3—101no—
534D12—101no—
535D12—101no—
536D12—202no—
537C4×D3—101no—
538C4×D3—101no—
539C4×D3—202no—
540C4×D3—202no—
541C4×D3—202no—
542Dic6—101no—
543Dic6—101no—
544Dic6—202no—
545Dic6—202no—
546C3×C8—21no—
547C3×C8—21no—
548C3⋊C8—101no—
549C3⋊C8—101no—
550C22×C5—21no—
551C22×C5—21no—
552C22×C5D3×SD1612yes—
553C22×C5C2×D3×D411yescharacteristic
554C2×D5—32no—
555C2×D5—61no—
556C2×D5—61no—
557C2×D5—121no—
558C2×D5—121no—
559C2×D5—121no—
560C4×C5—22no—
561C4×C5—21no—
562C4×C5—41no—
563C4×C5—41no—
564C4×C5—41no—
565C4×C5C2×#23511yescharacteristic
566C4×C5#100411yescharacteristic
567Dic5—32no—
568Dic5—61no—
569Dic5—61no—
570Dic5—121no—
571Dic5—121no—
572Dic5—121no—
573#41—604no—
574C2×Q8—21no—
575C2×Q8—22no—
576C2×Q8—41no—
577C2×Q8—151no—
578C2×Q8—301no—
579C2×Q8—301no—
580C2×Q8—302no—
581C2×Q8—601no—
582C2×Q8C22×D1511yescharacteristic
583C2×Q8C22×D1511yescharacteristic
584C2×D4—151no—
585C2×D4—151no—
586C2×D4—301no—
587C2×D4—301no—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—151no—
591C22×C4—301no—
592C22×C4—301no—
593C22×C4—301no—
594C22×C4C22×D1511yescharacteristic
595SD16—302no—
596SD16—601no—
597SD16—601no—
598C2×C8—41no—
599C2×C8—151no—
600C2×C8—151no—
601C2×C8—601no—
602C2×C8C22×D1511yescharacteristic
603C2×C8C22×D1511yescharacteristic
604C4⋊C4—21no—
605C4⋊C4—151no—
606C4⋊C4—151no—
607C4⋊C4—151no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4—301no—
613C4⋊C4—301no—
614C4⋊C4—301no—
615C4⋊C4C22×D1511yescharacteristic
616C4⋊C4C22×D1511yescharacteristic
617C22⋊C4—151no—
618C22⋊C4—151no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C22⋊C4—301no—
624C42—151no—
625C42—301no—
626C3×C5#329811yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3D5×SD1612yes—
630C22×C3C2×D4×D511yescharacteristic
631C2×D3—52no—
632C2×D3—101no—
633C2×D3—101no—
634C2×D3—201no—
635C2×D3—201no—
636C2×D3—201no—
637C3×C4—22no—
638C3×C4—21no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4C2×#70911yescharacteristic
643C3×C4#414411yescharacteristic
644Dic3—52no—
645Dic3—101no—
646Dic3—101no—
647Dic3—201no—
648Dic3—201no—
649Dic3—201no—
650C2×C5—22no—
651C2×C5#549011yescharacteristic
652C2×C5C2×D3×SD1611yescharacteristic
653C2×C5#576611yescharacteristic
654D5—62no—
655D5—241no—
656C23—151no—
657C23—301no—
658C23D4×D1511yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—42no—
663Q8—301no—
664Q8—301no—
665Q8—602no—
666Q8—602no—
667Q8#681712yescomplemented
668D4—154no—
669D4—301no—
670D4—301no—
671D4—602no—
672D4—602no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—151no—
682C2×C4—151no—
683C2×C4—151no—
684C2×C4—301no—
685C2×C4—301no—
686C2×C4—301no—
687C2×C4—301no—
688C2×C4—301no—
689C2×C4—602no—
690C2×C4—602no—
691C2×C4—602no—
692C2×C4D4×D1511yescharacteristic
693C2×C4C23×D1511yescharacteristic
694C8—21no—
695C8—21no—
696C8—301no—
697C8—301no—
698C2×C3—22no—
699C2×C3#6582411yescharacteristic
700C2×C3C2×D5×SD1611yescharacteristic
701C2×C3#6610011yescharacteristic
702D3—102no—
703D3—401no—
704C5#7880511yescharacteristic, complemented, Sylow
705C22—21no—
706C22—21no—
707C22—152no—
708C22—301no—
709C22—301no—
710C22—601no—
711C22—601no—
712C22—601no—
713C22SD16×D1512yes—
714C22C2×D4×D1511yescharacteristic
715C4—21no—
716C4—22no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—152no—
721C4—301no—
722C4—301no—
723C4—601no—
724C4—601no—
725C4—601no—
726C4C2×#681711yescharacteristic
727C4#9209511yescharacteristic
728C3#1061053611yescharacteristic, complemented, Sylow
729C2—22no—
730C2—302no—
731C2—1201no—
732C2#1175624911yescharacteristic
733C2C2×SD16×D1511yescharacteristic
734C2#1175652511yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC2×C3×C5×#103C2
socleC22×C3×C5C22×D4
prime radical#11756266C2
hypercenterC2×#103D15
hypocenterC3×C5#3298
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#103

Complements

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

NH ≅ G/Ntype
1. Q8×#1220C2semidirect
3. C2×C3×C5×#103C2semidirect
4. #11751328C2semidirect
5. #11751215C2semidirect
6. C8×#1220C2semidirect
7. #11751072C2semidirect
8. #11750919C2semidirect
9. #11750908C2semidirect
10. #11750907C2semidirect
11. #11750906C2semidirect
12. D15×#103C2semidirect
13. #11750893C2semidirect
14. #11750892C2semidirect
15. #11750889C2semidirect
63. C2×C5×#103D3semidirect
131. C2×C3×#103D5semidirect
195. C3×C5×Q8#41semidirect
207. #1220SD16semidirect
340. C2×#103D15semidirect
424. C5×Q8#235semidirect
515. C3×Q8#709semidirect
626. C3×C5#3298semidirect
667. Q8#6817semidirect
704. C5#78805semidirect
728. C3#10610536semidirect

Maximal subgroups

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

subgroupindex
Q8×#12202
#117562662
C2×C3×C5×#1032
#117513282
#117512152
C8×#12202
#117510722
#117509192
#117509082
#117509072
#117509062
D15×#1032
#117508932
#117508922
#117508892
#106105363
#788055