Finite Group Databasebeta

← #14435591

Subgroups — #14435591

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#11756293C211yesmaximal, characteristic, complemented
2#11756280C211yesmaximal, characteristic, complemented
3C3×C5×#433C211yesmaximal, characteristic, complemented
4#11750947C211yesmaximal, characteristic, complemented
5#11750945C211yesmaximal, characteristic, complemented
6#11750945C211yesmaximal, characteristic, complemented
7#11750943C211yesmaximal, characteristic, complemented
8#11750838C211yesmaximal, characteristic, complemented
9#11750833C211yesmaximal, characteristic
10#11750832C211yesmaximal, characteristic, complemented
11#11750824C211yesmaximal, characteristic, complemented
12#11750812C211yesmaximal, characteristic, complemented
13#11750811C211yesmaximal, characteristic, complemented
14C4×D120C211yesmaximal, characteristic, complemented
15C4×#6706C211yesmaximal, characteristic, complemented
16#10611114—31nomaximal, Hall
17C22×D60C2211yescharacteristic
18C3×C5×#117C2211yescharacteristic
19#91819C2211yescharacteristic
20#91815C2211yescharacteristic
21#91813C2211yescharacteristic
22C2×D120C2211yescharacteristic
23C2×D120C2211yescharacteristic
24C2×#6706C2211yescharacteristic
25C2×#6706C2211yescharacteristic
26#91787—21no—
27#91785—21no—
28#91782—21no—
29#91782—21no—
30#91774—21no—
31#91772—21no—
32C22⋊C4×D15—21no—
33C22⋊C4×D15—21no—
34#91764C2211yescharacteristic, complemented
35C4×D60C2211yescharacteristic
36C4×D60C2211yescharacteristic
37C4×D60C2211yescharacteristic
38C4×D60C2211yescharacteristic
39C4×D60C2211yescharacteristic, complemented
40#91758C2211yescharacteristic, complemented
41C4×Dic30C2211yescharacteristic, complemented
42C3×C5×C4⋊C8C2211yescharacteristic, complemented
43C3×C5×C4⋊C8C2211yescharacteristic, complemented
44C3×C5×C22⋊C8C2211yescharacteristic
45C3×C5×C22⋊C8C2211yescharacteristic
46C3×C5×#97C2211yescharacteristic, complemented
47C3×C4×C5×C8C2211yescharacteristic, complemented
48#91105C2211yescharacteristic
49#91105C2211yescharacteristic
50#91105C2211yescharacteristic
51#91105C2211yescharacteristic
52#91105C2211yescharacteristic, complemented
53#91105C2211yescharacteristic, complemented
54#91102C2211yescharacteristic, complemented
55#91102C2211yescharacteristic, complemented
56#91101C2211yescharacteristic, complemented
57#91101C2211yescharacteristic, complemented
58#91100C2211yescharacteristic, complemented
59#91100C2211yescharacteristic, complemented
60#79383—51nomaximal, Hall
61#65868—31no—
62#65855—31no—
63C5×#433D311yescharacteristic, complemented
64#65135—31no—
65#65133—31no—
66#65133—31no—
67#65131—31no—
68#65026—31no—
69#65021—31no—
70#65020—31no—
71#65012—31no—
72#65000—31no—
73#64999—31no—
74C4×D40—31no—
75C4×#677—31no—
76C23×D15—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×#1220—21no—
79C2×D60—21no—
80C2×D60—22no—
81C2×D60—22no—
82C2×D60C2311yescharacteristic
83C2×D60C2311yescharacteristic
84C2×D60C2311yescharacteristic
85C2×C4×D15—21no—
86C2×C4×D15—21no—
87C2×C4×D15—21no—
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×Dic30—21no—
91C2×Dic30C2311yescharacteristic
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4D411yescharacteristic
97C3×C5×C4⋊C4D411yescharacteristic
98C3×C5×C22⋊C4D411yescharacteristic
99C3×C5×C22⋊C4D411yescharacteristic
100C3×C42×C5C2311yescharacteristic
101C3×C42×C5C2311yescharacteristic
102#6719—21no—
103#6719—21no—
104#6714—21no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112C4⋊Dic15—21no—
113C4⋊Dic15C2311yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117#6712—21no—
118#6712—21no—
119C4×Dic15—21no—
120C4×Dic15—21no—
121D120—22no—
122D120—22no—
123#6706—22no—
124#6706—22no—
125#5534—51no—
126#5521—51no—
127C3×#433D511yescharacteristic, complemented
128#4846—51no—
129#4844—51no—
130#4844—51no—
131#4842—51no—
132#4737—51no—
133#4732—51no—
134#4731—51no—
135#4723—51no—
136#4711—51no—
137#4710—51no—
138C4×D24—51no—
139C4×#204—51no—
140C22×D20—31no—
141C5×#117C2×D311yescharacteristic
142#4076—31no—
143#4072—31no—
144#4070—31no—
145C2×D40—31no—
146C2×D40—31no—
147C2×#677—31no—
148C2×#677—31no—
149#4044—61no—
150#4042—61no—
151#4039—61no—
152#4039—61no—
153#4031—61no—
154#4029—61no—
155D5×C22⋊C4—61no—
156D5×C22⋊C4—61no—
157#4021—31no—
158C4×D20—31no—
159C4×D20—31no—
160C4×D20—31no—
161C4×D20—31no—
162C4×D20—31no—
163#4015—31no—
164C4×Dic10—31no—
165C5×C4⋊C8C2×D311yescharacteristic, complemented
166C5×C4⋊C8C2×D311yescharacteristic, complemented
167C5×C22⋊C8C2×D311yescharacteristic
168C5×C22⋊C8C2×D311yescharacteristic
169C5×#97C2×D311yescharacteristic, complemented
170C4×C5×C8C2×D311yescharacteristic, complemented
171#3953—31no—
172#3953—31no—
173#3953—31no—
174#3953—31no—
175#3953—31no—
176#3953—31no—
177#3950—31no—
178#3950—31no—
179#3949—31no—
180#3949—31no—
181#3948—31no—
182#3948—31no—
183#3118—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×D15—21no—
186C22×D15—21no—
187C22×D15—24no—
188C22×D15—21no—
189C22×D15—81no—
190C22×D15—81no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5—21no—
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2×D411yescharacteristic
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199#1220—81no—
200C2×Dic15—21no—
201C2×Dic15—21no—
202C2×Dic15—21no—
203C2×Dic15—21no—
204C2×Dic15—21no—
205D60—24no—
206D60—21no—
207D60—21no—
208D60—21no—
209D60—21no—
210D60#4112yes—
211D60#4112yes—
212C4×D15—81no—
213C4×D15—81no—
214C4×D15—81no—
215C4×D15—81no—
216C4×D15—81no—
217Dic30—21no—
218Dic30—21no—
219Dic30—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3×C5×C8—21no—
223C3×C5×C8—21no—
224C22×D12—51no—
225C3×#117C2×D511yescharacteristic
226#930—51no—
227#926—51no—
228#924—51no—
229C2×D24—51no—
230C2×D24—51no—
231C2×#204—51no—
232C2×#204—51no—
233#898—101no—
234#896—101no—
235#893—101no—
236#893—101no—
237#885—101no—
238#883—101no—
239D3×C22⋊C4—101no—
240D3×C22⋊C4—101no—
241#875—51no—
242C4×D12—51no—
243C4×D12—51no—
244C4×D12—51no—
245C4×D12—51no—
246C4×D12—51no—
247#869—51no—
248C4×Dic6—51no—
249C3×C4⋊C8C2×D511yescharacteristic, complemented
250C3×C4⋊C8C2×D511yescharacteristic, complemented
251C3×C22⋊C8C2×D511yescharacteristic
252C3×C22⋊C8C2×D511yescharacteristic
253C3×#97C2×D511yescharacteristic, complemented
254C3×C4×C8C2×D511yescharacteristic, complemented
255#821—51no—
256#821—51no—
257#821—51no—
258#821—51no—
259#821—51no—
260#821—51no—
261#818—51no—
262#818—51no—
263#817—51no—
264#817—51no—
265#816—51no—
266#816—51no—
267C23×D5—61no—
268C22×C4×C5C22×D311yescharacteristic
269C2×C22⋊D5—61no—
270C2×D20—31no—
271C2×D20—31no—
272C2×D20—31no—
273C2×D20—62no—
274C2×D20—62no—
275C2×D20—61no—
276C2×C4×D5—61no—
277C2×C4×D5—61no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×Dic10—31no—
282C2×Dic10—61no—
283C2×C5×C8C22×D311yescharacteristic
284C2×C5×C8C22×D311yescharacteristic
285C2×C5×C8C22×D311yescharacteristic
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4D1211yescharacteristic
288C5×C4⋊C4D1211yescharacteristic
289C5×C22⋊C4D1211yescharacteristic
290C5×C22⋊C4D1211yescharacteristic
291C42×C5C22×D311yescharacteristic
292C42×C5C22×D311yescharacteristic
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295#685—61no—
296#685—61no—
297#685—61no—
298#685—61no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5—31no—
306C4⋊Dic5—31no—
307C4⋊Dic5—61no—
308#683—61no—
309#683—61no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312D40—62no—
313D40—62no—
314#677—62no—
315#677—62no—
316#542—151no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
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#433D1511yescharacteristic, complemented
331C22×C3×C5—21no—
332C22×C3×C5—21no—
333C22×C3×C5—21no—
334C22×C3×C5C22×D411yescharacteristic
335C2×D15—22no—
336C2×D15—22no—
337C2×D15—41no—
338C2×D15—41no—
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—21no—
348C3×C4×C5—21no—
349C3×C4×C5—21no—
350C3×C4×C5C2×#4111yescharacteristic
351C3×C4×C5C2×#4111yescharacteristic
352Dic15—41no—
353Dic15—41no—
354Dic15—41no—
355Dic15—41no—
356Dic15—41no—
357C23×D3—101no—
358C22×C3×C4C22×D511yescharacteristic
359C2×#67—101no—
360C2×D12—51no—
361C2×D12—51no—
362C2×D12—51no—
363C2×D12—102no—
364C2×D12—102no—
365C2×D12—101no—
366C2×C4×D3—101no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×Dic6—51no—
372C2×Dic6—101no—
373C2×C3×C8C22×D511yescharacteristic
374C2×C3×C8C22×D511yescharacteristic
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4D2011yescharacteristic
378C3×C4⋊C4D2011yescharacteristic
379C3×C22⋊C4D2011yescharacteristic
380C3×C22⋊C4D2011yescharacteristic
381C3×C42C22×D511yescharacteristic
382C3×C42C22×D511yescharacteristic
383#217—101no—
384#217—101no—
385(C2×D3)⋊C4—101no—
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—
393C4⋊Dic3—51no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—51no—
397C4⋊Dic3—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—101no—
401C4×Dic3—101no—
402D24—102no—
403D24—102no—
404#204—102no—
405#204—102no—
406C23×C5C2×D1211yescharacteristic
407C22×D5—61no—
408C22×D5—61no—
409C22×D5—64no—
410C22×D5—61no—
411C22×D5—241no—
412C22×D5—241no—
413C2×C4×C5—21no—
414C2×C4×C5—21no—
415C2×C4×C5C2×D1211yescharacteristic
416C2×C4×C5C2×D1211yescharacteristic
417C2×C4×C5C2×D1211yescharacteristic
418C2×C4×C5C2×D1211yescharacteristic
419C2×C4×C5C2×D1211yescharacteristic
420C2×C4×C5C23×D311yescharacteristic
421C22⋊D5—241no—
422C2×Dic5—61no—
423C2×Dic5—61no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5—61no—
427D20—32no—
428D20—32no—
429D20—64no—
430D20—61no—
431D20—61no—
432D20—61no—
433D20—61no—
434C4×D5—241no—
435C4×D5—241no—
436C4×D5—241no—
437C4×D5—241no—
438C4×D5—241no—
439Dic10—61no—
440Dic10—61no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444C5×C8—21no—
445C5×C8—21no—
446C22×D4—151no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—151no—
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—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—151no—
468#117C2×D1511yescharacteristic
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8C2×D1511yescharacteristic, complemented
476C4⋊C8C2×D1511yescharacteristic, complemented
477#103—151no—
478#103—151no—
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8C2×D1511yescharacteristic
486C22⋊C8C2×D1511yescharacteristic
487#97C2×D1511yescharacteristic, complemented
488C4×C8C2×D1511yescharacteristic, complemented
489C2×C3×C5—41no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—42no—
494D15—42no—
495D15—81no—
496C23×C3C2×D2011yescharacteristic
497C22×D3—101no—
498C22×D3—101no—
499C22×D3—104no—
500C22×D3—101no—
501C22×D3—401no—
502C22×D3—401no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4C2×D2011yescharacteristic
506C2×C3×C4C2×D2011yescharacteristic
507C2×C3×C4C2×D2011yescharacteristic
508C2×C3×C4C2×D2011yescharacteristic
509C2×C3×C4C2×D2011yescharacteristic
510C2×C3×C4C23×D511yescharacteristic
511#67—401no—
512C2×Dic3—101no—
513C2×Dic3—101no—
514C2×Dic3—101no—
515C2×Dic3—101no—
516C2×Dic3—101no—
517D12—52no—
518D12—52no—
519D12—104no—
520D12—101no—
521D12—101no—
522D12—101no—
523D12—101no—
524C4×D3—401no—
525C4×D3—401no—
526C4×D3—401no—
527C4×D3—401no—
528C4×D3—401no—
529Dic6—101no—
530Dic6—101no—
531Dic6—401no—
532C3×C8—21no—
533C3×C8—21no—
534C3×C8—21no—
535C3×C8—21no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5C22×D1211yescharacteristic
540C2×D5—62no—
541C2×D5—62no—
542C2×D5—121no—
543C2×D5—121no—
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—21no—
553C4×C5—21no—
554C4×C5—21no—
555C4×C5D3×#4111yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—121no—
558Dic5—121no—
559Dic5—121no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—151no—
564C2×Q8—301no—
565C2×D4—151no—
566C2×D4—151no—
567C2×D4—151no—
568C2×D4—302no—
569C2×D4—302no—
570C2×D4—301no—
571C2×D4—301no—
572C22×C4—301no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C22×D1511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8C22×D1511yescharacteristic
583C2×C8C22×D1511yescharacteristic
584C2×C8C22×D1511yescharacteristic
585C2×C8C22×D1511yescharacteristic
586C4⋊C4—151no—
587C4⋊C4—151no—
588C4⋊C4—151no—
589C4⋊C4—151no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C4⋊C4D6011yescharacteristic
594C4⋊C4D6011yescharacteristic
595C22⋊C4—301no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4D6011yescharacteristic
606C22⋊C4D6011yescharacteristic
607C42—301no—
608C42—301no—
609C42C22×D1511yescharacteristic
610C42C22×D1511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3C22×D2011yescharacteristic
616C2×D3—102no—
617C2×D3—102no—
618C2×D3—201no—
619C2×D3—201no—
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—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4D5×#4111yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—201no—
634Dic3—201no—
635Dic3—201no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5#552411yescharacteristic
640C2×C5#575111yescharacteristic
641C2×C5#575211yescharacteristic
642D5—122no—
643D5—122no—
644D5—241no—
645C23—304no—
646C23—301no—
647C23—301no—
648C23—301no—
649C23—1201no—
650C23—1201no—
651C23C2×D6011yescharacteristic
652Q8—301no—
653Q8—301no—
654Q8—1201no—
655D4—152no—
656D4—152no—
657D4—304no—
658D4—301no—
659D4—301no—
660D4—301no—
661D4—301no—
662D4—1201no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—301no—
666C2×C4—301no—
667C2×C4—301no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—1201no—
671C2×C4—1201no—
672C2×C4—1201no—
673C2×C4—1201no—
674C2×C4—1201no—
675C2×C4C2×D6011yescharacteristic
676C2×C4C2×D6011yescharacteristic
677C2×C4C2×D6011yescharacteristic
678C2×C4C2×D6011yescharacteristic
679C2×C4C2×D6011yescharacteristic
680C2×C4C23×D1511yescharacteristic
681C8—21no—
682C8—21no—
683C8—21no—
684C8—21no—
685C2×C3—41no—
686C2×C3#6585811yescharacteristic
687C2×C3#6608511yescharacteristic
688C2×C3#6608611yescharacteristic
689D3—202no—
690D3—202no—
691D3—401no—
692C5#7938311yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—302no—
697C22—302no—
698C22—601no—
699C22—601no—
700C22—601no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C22×D6011yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—601no—
713C4—601no—
714C4—601no—
715C4—601no—
716C4—601no—
717C4#41×D1511yescharacteristic
718C4#41×D1511yescharacteristic
719C3#1061111411yescharacteristic, complemented, Sylow
720C2—41no—
721C2—602no—
722C2—602no—
723C2—1201no—
724C2#1175628311yescharacteristic
725C2#1175651011yescharacteristic
726C2#1175651111yescharacteristic
subgroupG/H
centerC22C22×D60
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#433C2
socleC22×C3×C5C22×D4
prime radical#11750833C2
hypercenter#433D15
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117 ◁ #433

Complements

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

NH ≅ G/Ntype
1. #11756293C2semidirect
2. #11756280C2semidirect
3. C3×C5×#433C2semidirect
4. #11750947C2semidirect
5. #11750945C2semidirect
6. #11750945C2semidirect
7. #11750943C2semidirect
8. #11750838C2semidirect
10. #11750832C2semidirect
11. #11750824C2semidirect
12. #11750812C2semidirect
13. #11750811C2semidirect
14. C4×D120C2semidirect
15. C4×#6706C2semidirect
34. #91764C22semidirect
39. C4×D60C22semidirect
40. #91758C22semidirect
41. C4×Dic30C22semidirect
42. C3×C5×C4⋊C8C22semidirect
43. C3×C5×C4⋊C8C22semidirect
46. C3×C5×#97C22semidirect
47. C3×C4×C5×C8C22semidirect
52. #91105C22semidirect
53. #91105C22semidirect
54. #91102C22semidirect
55. #91102C22semidirect
56. #91101C22semidirect
57. #91101C22semidirect
58. #91100C22semidirect
59. #91100C22semidirect
63. C5×#433D3semidirect
127. C3×#433D5semidirect
165. C5×C4⋊C8C2×D3semidirect
166. C5×C4⋊C8C2×D3semidirect
169. C5×#97C2×D3semidirect
170. C4×C5×C8C2×D3semidirect
249. C3×C4⋊C8C2×D5semidirect
250. C3×C4⋊C8C2×D5semidirect
253. C3×#97C2×D5semidirect
254. C3×C4×C8C2×D5semidirect
330. #433D15semidirect
475. C4⋊C8C2×D15semidirect
476. C4⋊C8C2×D15semidirect
487. #97C2×D15semidirect
488. C4×C8C2×D15semidirect
611. C3×C5#3118semidirect
692. C5#79383semidirect
719. C3#10611114semidirect

Maximal subgroups

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

subgroupindex
#117562932
#117562802
C3×C5×#4332
#117509472
#117509452
#117509432
#117508382
#117508332
#117508322
#117508242
#117508122
#117508112
C4×D1202
C4×#67062
#106111143
#793835