Finite Group Databasebeta

← #14416819

Subgroups — #14416819

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91807C211yesmaximal, characteristic
2C4×#6821C211yesmaximal, characteristic
3C4×Q8×D15C211yesmaximal, characteristic, complemented
4C3×C5×#441C211yesmaximal, characteristic, complemented
5Q16×Dic15C211yesmaximal, characteristic, complemented
6#11751131C211yesmaximal, characteristic, complemented
7#11751127C211yesmaximal, characteristic, complemented
8#11750962C211yesmaximal, characteristic, complemented
9#11750953C211yesmaximal, characteristic, complemented
10#11750904C211yesmaximal, characteristic
11#11750903C211yesmaximal, characteristic, complemented
12#11750891C211yesmaximal, characteristic, complemented
13#11750889C211yesmaximal, characteristic, complemented
14#11750811C211yesmaximal, characteristic, complemented
15#11750808C211yesmaximal, characteristic, complemented
16#10611560—31nomaximal, Hall
17C2×#6821C2211yescharacteristic
18C2×Q8×D15C2211yescharacteristic
19C2×C3×C5×Q16C2211yescharacteristic
20C3×C4×C5×Q8C2211yescharacteristic
21C3×C4×C5×Q8C2211yescharacteristic
22Q8×Dic15C2211yescharacteristic
23Q8×Dic15C2211yescharacteristic
24C2×#6718C2211yescharacteristic
25C2×#6717C2211yescharacteristic
26#91807C418yescomplemented
27C2×#6706C2211yescharacteristic
28C2×#6705C2211yescharacteristic
29C2×#6705C2211yescharacteristic
30#91782—21no—
31#91782C2211yescharacteristic
32#91781—21no—
33#91781C2211yescharacteristic
34C4⋊C4×D15—21no—
35C4⋊C4×D15C2211yescharacteristic
36#91776—21no—
37#91776C2211yescharacteristic
38C4×D60—21no—
39C4×D60C2211yescharacteristic
40C42×D15—21no—
41C42×D15—21no—
42C42×D15C2211yescharacteristic
43C4×Dic30—21no—
44C4×Dic30C2211yescharacteristic
45C3×C5×#106C2211yescharacteristic
46C3×C5×#103C2211yescharacteristic
47C3×C5×#103C2211yescharacteristic
48C3×C5×#97C2211yescharacteristic
49#91119C2211yescharacteristic
50#91119C2211yescharacteristic
51#91105C2211yescharacteristic
52#91102C2211yescharacteristic
53#91100C2211yescharacteristic
54C8×Dic15C2211yescharacteristic
55C8×Dic15C2211yescharacteristic
56#91094C2211yescharacteristic
57#91093C2211yescharacteristic
58#91092C2211yescharacteristic
59#91091C2211yescharacteristic
60#91087C2211yescharacteristic
61#79829—51nomaximal, Hall
62C2×#4064—31no—
63C4×#713—31no—
64C4×Q8×D5—31no—
65C5×#441D311yescharacteristic, complemented
66Q16×Dic5—31no—
67#65319—31no—
68#65315—31no—
69#65150—31no—
70#65141—31no—
71#65092—31no—
72#65091—31no—
73#65079—31no—
74#65077—31no—
75#64999—31no—
76#64996—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×Q8C2311yescharacteristic
79#6821—22no—
80#6821C2×C414yes—
81Q8×D15—22no—
82Q8×D15C2×C414yescomplemented
83C2×D60—21no—
84C2×D60C2311yescharacteristic
85C2×C4×D15—21no—
86C2×C4×D15—21no—
87C2×C4×D15—21no—
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×C4×D15D411yescharacteristic
91C2×C4×D15D411yescharacteristic
92C2×C4×D15C2311yescharacteristic
93C2×Dic30—21no—
94C2×Dic30C2311yescharacteristic
95C3×C5×Q16C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C3×C5×C4⋊C4—21no—
99C3×C5×C4⋊C4—21no—
100C3×C5×C4⋊C4C2311yescharacteristic
101C3×C5×C4⋊C4C2311yescharacteristic
102C3×C42×C5—21no—
103C3×C42×C5—21no—
104C3×C42×C5C2311yescharacteristic
105#6718C2×C414yescomplemented
106#6717C2×C414yescomplemented
107#6714—21no—
108#6714—21no—
109#6714—21no—
110C4⋊Dic15—21no—
111C4⋊Dic15—21no—
112C4⋊Dic15C2311yescharacteristic
113C4⋊Dic15C2311yescharacteristic
114#6712—21no—
115#6712—21no—
116#6712—21no—
117C4×Dic15—21no—
118C4×Dic15—21no—
119C4×Dic15—21no—
120C4×Dic15—21no—
121C4×Dic15—21no—
122C4×Dic15D411yescharacteristic
123C4×Dic15D411yescharacteristic
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127#6706C2×C414yescomplemented
128#6705—22no—
129#6705C2×C414yescomplemented
130C2×#918—51no—
131C4×#239—51no—
132C4×D3×Q8—51no—
133C3×#441D511yescharacteristic, complemented
134Dic3×Q16—51no—
135#5030—51no—
136#5026—51no—
137#4861—51no—
138#4852—51no—
139#4803—51no—
140#4802—51no—
141#4790—51no—
142#4788—51no—
143#4710—51no—
144#4707—51no—
145C2×#713—31no—
146C2×Q8×D5—31no—
147C2×C5×Q16C2×D311yescharacteristic
148C4×C5×Q8C2×D311yescharacteristic
149C4×C5×Q8C2×D311yescharacteristic
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152C2×#689—31no—
153C2×#688—31no—
154#4064—38no—
155C2×#677—31no—
156C2×#676—31no—
157C2×#676—31no—
158#4039—31no—
159#4039—61no—
160#4038—31no—
161#4038—61no—
162D5×C4⋊C4—31no—
163D5×C4⋊C4—61no—
164#4033—31no—
165#4033—61no—
166C4×D20—31no—
167C4×D20—61no—
168C42×D5—31no—
169C42×D5—61no—
170C42×D5—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#106C2×D311yescharacteristic
174C5×#103C2×D311yescharacteristic
175C5×#103C2×D311yescharacteristic
176C5×#97C2×D311yescharacteristic
177#3967—31no—
178#3967—31no—
179#3953—31no—
180#3950—31no—
181#3948—31no—
182C8×Dic5—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3940—31no—
187#3939—31no—
188#3935—31no—
189C4×#137—151noSylow
190C22×D15—21no—
191C22×D15C2×D411yescharacteristic
192C3×C5×Q8—21no—
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C3×C5×Q8C22×C412yes—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5C2×D411yescharacteristic
201C2×C3×C4×C5C2×D411yescharacteristic
202C2×C3×C4×C5C2411yescharacteristic
203C2×Dic15—21no—
204C2×Dic15—21no—
205C2×Dic15—21no—
206C2×Dic15C2×D411yescharacteristic
207C2×Dic15C2×D411yescharacteristic
208C2×Dic15C2×D411yescharacteristic
209D60—24no—
210D60—21no—
211D60C22×C412yes—
212C4×D15—24no—
213C4×D15—24no—
214C4×D15—22no—
215C4×D15—41no—
216C4×D15—42no—
217C4×D15—42no—
218C4×D15—42no—
219C4×D15C22×C412yes—
220C4×D15#4112yes—
221Dic30—21no—
222Dic30—24no—
223Dic30C22×C412yes—
224C3×C5×C8—21no—
225C3×C5×C8C22×C412yes—
226C3⋊#168—21no—
227C3⋊#168C22×C412yes—
228C2×#239—51no—
229C2×D3×Q8—51no—
230C2×C3×Q16C2×D511yescharacteristic
231C3×C4×Q8C2×D511yescharacteristic
232C3×C4×Q8C2×D511yescharacteristic
233Q8×Dic3—51no—
234Q8×Dic3—51no—
235C2×#216—51no—
236C2×#215—51no—
237#918—58no—
238C2×#204—51no—
239C2×ΓL(1,𝔽25)—51no—
240C2×ΓL(1,𝔽25)—51no—
241#893—51no—
242#893—101no—
243#892—51no—
244#892—101no—
245D3×C4⋊C4—51no—
246D3×C4⋊C4—101no—
247#887—51no—
248#887—101no—
249C4×D12—51no—
250C4×D12—101no—
251C42×D3—51no—
252C42×D3—101no—
253C42×D3—101no—
254C4×Dic6—51no—
255C4×Dic6—101no—
256C3×#106C2×D511yescharacteristic
257C3×#103C2×D511yescharacteristic
258C3×#103C2×D511yescharacteristic
259C3×#97C2×D511yescharacteristic
260#835—51no—
261#835—51no—
262#821—51no—
263#818—51no—
264#816—51no—
265C8×Dic3—51no—
266C8×Dic3—51no—
267#810—51no—
268#809—51no—
269#808—51no—
270#807—51no—
271#803—51no—
272C2×C5×Q8C22×D311yescharacteristic
273C2×C5×Q8C22×D311yescharacteristic
274#713—34no—
275#713—62no—
276Q8×D5—34no—
277Q8×D5—62no—
278C2×D20—31no—
279C2×D20—61no—
280C2×C4×D5—31no—
281C2×C4×D5—31no—
282C2×C4×D5—31no—
283C2×C4×D5—61no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C2×Dic10—61no—
290C5×Q16C4×D314yescomplemented
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—21no—
294C5×C4⋊C4—21no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C4⋊C4C22×D311yescharacteristic
297C42×C5—21no—
298C42×C5—21no—
299C42×C5C22×D311yescharacteristic
300#689—34no—
301#688—34no—
302#685—61no—
303#685—61no—
304#685—61no—
305C4⋊Dic5—31no—
306C4⋊Dic5—31no—
307C4⋊Dic5—61no—
308C4⋊Dic5—61no—
309#683—61no—
310#683—61no—
311#683—61no—
312C4×Dic5—31no—
313C4×Dic5—31no—
314C4×Dic5—31no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C2×#168—31no—
321C2×#168—31no—
322#677—34no—
323#676—34no—
324#676—62no—
325C2×#137—151no—
326C4×#41—151no—
327C2×C4×Q8—151no—
328#441—151no—
329#441D1511yescharacteristic, complemented
330#440—151no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—151no—
335C4×SD16—151no—
336#428—151no—
337#419—151no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5C22×D411yescharacteristic
341C2×D15—21no—
342C2×D15—21no—
343C2×D15—22no—
344C2×D15—41no—
345C2×D15—41no—
346C2×D15C4×D412yes—
347C3×C4×C5—22no—
348C3×C4×C5—22no—
349C3×C4×C5—21no—
350C3×C4×C5—21no—
351C3×C4×C5—41no—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15—21no—
357Dic15—41no—
358Dic15—41no—
359Dic15C4×D412yes—
360Dic15#13712yescomplemented
361C2×C3×Q8C22×D511yescharacteristic
362C2×C3×Q8C22×D511yescharacteristic
363#239—54no—
364#239—102no—
365D3×Q8—54no—
366D3×Q8—102no—
367C2×D12—51no—
368C2×D12—101no—
369C2×C4×D3—51no—
370C2×C4×D3—51no—
371C2×C4×D3—51no—
372C2×C4×D3—101no—
373C2×C4×D3—101no—
374C2×C4×D3—101no—
375C2×C4×D3—101no—
376C2×C4×D3—101no—
377C2×Dic6—51no—
378C2×Dic6—101no—
379C3×Q16C4×D514yescomplemented
380C2×C3×C8C22×D511yescharacteristic
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—21no—
383C3×C4⋊C4—21no—
384C3×C4⋊C4C22×D511yescharacteristic
385C3×C4⋊C4C22×D511yescharacteristic
386C3×C42—21no—
387C3×C42—21no—
388C3×C42C22×D511yescharacteristic
389#216—54no—
390#215—54no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—101no—
397C4⋊Dic3—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—51no—
402C4×Dic3—51no—
403C4×Dic3—51no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C2×C3⋊C8—51no—
410C2×C3⋊C8—51no—
411#204—54no—
412ΓL(1,𝔽25)—54no—
413ΓL(1,𝔽25)—102no—
414C22×D5—31no—
415C22×D5—61no—
416C5×Q8—21no—
417C5×Q8—21no—
418C5×Q8C2×C4×D312yes—
419C5×Q8C2×C4×D312yes—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—21no—
423C2×C4×C5—21no—
424C2×C4×C5D3×D411yescharacteristic
425C2×C4×C5D3×D411yescharacteristic
426C2×C4×C5C23×D311yescharacteristic
427C2×Dic5—31no—
428C2×Dic5—31no—
429C2×Dic5—31no—
430C2×Dic5—61no—
431C2×Dic5—61no—
432C2×Dic5—61no—
433D20—32no—
434D20—64no—
435D20—61no—
436C4×D5—32no—
437C4×D5—32no—
438C4×D5—62no—
439C4×D5—64no—
440C4×D5—64no—
441C4×D5—122no—
442C4×D5—121no—
443C4×D5—122no—
444C4×D5—122no—
445Dic10—32no—
446Dic10—64no—
447Dic10—61no—
448C5×C8—21no—
449C5×C8C2×C4×D312yes—
450#168—32no—
451#168—61no—
452C2×#41—151no—
453C22×Q8—151no—
454#137—158no—
455C2×Q16—151no—
456C2×Q16C2×D1511yescharacteristic
457C2×SD16—151no—
458C2×SD16—151no—
459C2×M16—151no—
460C2×M16—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—301no—
466C4×Q8—301no—
467C4×Q8C2×D1511yescharacteristic
468C4×Q8C2×D1511yescharacteristic
469C4×D4—151no—
470C4×D4—151no—
471C4×D4—301no—
472C4×D4—301no—
473#117—151no—
474#117—301no—
475C2×C4⋊C4—151no—
476C2×C4⋊C4—301no—
477C2×C42—151no—
478C2×C42—301no—
479C2×C42—301no—
480#107—151no—
481#107—151no—
482#106—151no—
483#106C2×D1511yescharacteristic
484#103—151no—
485#103—151no—
486#103—151no—
487#103—151no—
488#103C2×D1511yescharacteristic
489#103C2×D1511yescharacteristic
490#102—151no—
491#102—151no—
492#97—151no—
493#97C2×D1511yescharacteristic
494C4×C8—151no—
495C4×C8—151no—
496C2×C3×C5C2×C4×D411yescharacteristic
497C2×C3×C5C2×#13711yescharacteristic
498C2×C3×C5#57511yescharacteristic
499D15—22no—
500D15—42no—
501C22×D3—51no—
502C22×D3—101no—
503C3×Q8—21no—
504C3×Q8—21no—
505C3×Q8C2×C4×D512yes—
506C3×Q8C2×C4×D512yes—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4D4×D511yescharacteristic
512C2×C3×C4D4×D511yescharacteristic
513C2×C3×C4C23×D511yescharacteristic
514C2×Dic3—51no—
515C2×Dic3—51no—
516C2×Dic3—51no—
517C2×Dic3—101no—
518C2×Dic3—101no—
519C2×Dic3—101no—
520D12—52no—
521D12—104no—
522D12—101no—
523C4×D3—52no—
524C4×D3—52no—
525C4×D3—102no—
526C4×D3—104no—
527C4×D3—104no—
528C4×D3—202no—
529C4×D3—201no—
530C4×D3—202no—
531C4×D3—202no—
532Dic6—52no—
533Dic6—104no—
534Dic6—101no—
535C3×C8—21no—
536C3×C8C2×C4×D512yes—
537C3⋊C8—52no—
538C3⋊C8—101no—
539C22×C5C2×D3×D411yescharacteristic
540C2×D5—32no—
541C2×D5—61no—
542C2×D5—61no—
543C2×D5—62no—
544C2×D5—121no—
545C2×D5—121no—
546C4×C5—21no—
547C4×C5—21no—
548C4×C5—22no—
549C4×C5—22no—
550C4×C5—41no—
551C4×C5—41no—
552C4×C5C22×C4×D311yescharacteristic
553C4×C5D3×#4111yescharacteristic
554Dic5—32no—
555Dic5—32no—
556Dic5—61no—
557Dic5—62no—
558Dic5—121no—
559Dic5—121no—
560#41—154no—
561#41—302no—
562C2×Q8—154no—
563C2×Q8—151no—
564C2×Q8—301no—
565C2×Q8—302no—
566C2×Q8C22×D1511yescharacteristic
567C2×Q8C22×D1511yescharacteristic
568C2×D4—151no—
569C2×D4—301no—
570C22×C4—151no—
571C22×C4—151no—
572C22×C4—151no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—154no—
579Q16C4×D1514yescomplemented
580SD16—154no—
581SD16—154no—
582M16—154no—
583M16—302no—
584C2×C8—151no—
585C2×C8—151no—
586C2×C8C22×D1511yescharacteristic
587C2×C8C22×D1511yescharacteristic
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—151no—
591C4⋊C4—151no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4C22×D1511yescharacteristic
598C4⋊C4C22×D1511yescharacteristic
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—21no—
603C42—21no—
604C42—151no—
605C42—151no—
606C42—151no—
607C42—301no—
608C42—301no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42C22×D1511yescharacteristic
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3C2×D4×D511yescharacteristic
615C2×D3—52no—
616C2×D3—101no—
617C2×D3—101no—
618C2×D3—102no—
619C2×D3—201no—
620C2×D3—201no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—22no—
624C3×C4—22no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4C22×C4×D511yescharacteristic
628C3×C4D5×#4111yescharacteristic
629Dic3—52no—
630Dic3—52no—
631Dic3—101no—
632Dic3—102no—
633Dic3—201no—
634Dic3—201no—
635C2×C5C4×D3×D411yescharacteristic
636C2×C5D3×#13711yescharacteristic
637C2×C5#577711yescharacteristic
638D5—62no—
639D5—122no—
640C23—151no—
641C23—301no—
642Q8—21no—
643Q8—21no—
644Q8—152no—
645Q8—304no—
646Q8—301no—
647Q8C2×C4×D1512yes—
648Q8C2×C4×D1512yes—
649D4—152no—
650D4—304no—
651D4—301no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—151no—
657C2×C4—151no—
658C2×C4—152no—
659C2×C4—152no—
660C2×C4—151no—
661C2×C4—302no—
662C2×C4—304no—
663C2×C4—304no—
664C2×C4—301no—
665C2×C4—301no—
666C2×C4—301no—
667C2×C4—601no—
668C2×C4—602no—
669C2×C4—602no—
670C2×C4—602no—
671C2×C4D4×D1511yescharacteristic
672C2×C4D4×D1511yescharacteristic
673C2×C4C23×D1511yescharacteristic
674C8—21no—
675C8—152no—
676C8—301no—
677C8C2×C4×D1512yes—
678C2×C3C4×D4×D511yescharacteristic
679C2×C3D5×#13711yescharacteristic
680C2×C3#6611111yescharacteristic
681D3—102no—
682D3—202no—
683C5#7982911yescharacteristic, complemented, Sylow
684C22—152no—
685C22—301no—
686C22—301no—
687C22—302no—
688C22—601no—
689C22—601no—
690C22C2×D4×D1511yescharacteristic
691C4—22no—
692C4—22no—
693C4—21no—
694C4—21no—
695C4—41no—
696C4—41no—
697C4—152no—
698C4—152no—
699C4—302no—
700C4—301no—
701C4—601no—
702C4—601no—
703C4C22×C4×D1511yescharacteristic
704C4#41×D1511yescharacteristic
705C3#1061156011yescharacteristic, complemented, Sylow
706C2—302no—
707C2—602no—
708C2C4×D4×D1511yescharacteristic
709C2D15×#13711yescharacteristic
710C2#1175653611yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C23×D15
FittingC3×C5×#441C2
socleC22×C3×C5C22×D4
prime radicalC2×#6821C22
cosocleC2×C3×C4×C5C24
hypercenter#441D15
hypocenterC3×C5C4×#137
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #441

Complements

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

NH ≅ G/Ntype
3. C4×Q8×D15C2semidirect
4. C3×C5×#441C2semidirect
5. Q16×Dic15C2semidirect
6. #11751131C2semidirect
7. #11751127C2semidirect
8. #11750962C2semidirect
9. #11750953C2semidirect
11. #11750903C2semidirect
12. #11750891C2semidirect
13. #11750889C2semidirect
14. #11750811C2semidirect
15. #11750808C2semidirect
26. #91807C4semidirect
65. C5×#441D3semidirect
82. Q8×D15C2×C4semidirect
95. C3×C5×Q16C2×C4semidirect
105. #6718C2×C4semidirect
106. #6717C2×C4semidirect
127. #6706C2×C4semidirect
129. #6705C2×C4semidirect
133. C3×#441D5semidirect
290. C5×Q16C4×D3semidirect
329. #441D15semidirect
360. Dic15#137semidirect
379. C3×Q16C4×D5semidirect
579. Q16C4×D15semidirect
613. C3×C5C4×#137semidirect
683. C5#79829semidirect
705. C3#10611560semidirect

Maximal subgroups

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

subgroupindex
C2×#918072
C4×#68212
C4×Q8×D152
C3×C5×#4412
Q16×Dic152
#117511312
#117511272
#117509622
#117509532
#117509042
#117509032
#117508912
#117508892
#117508112
#117508082
#106115603
#798295