Finite Group Databasebeta

← #14435677

Subgroups — #14435677

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#11756280C211yesmaximal, characteristic, complemented
2C3×#65868C211yesmaximal, characteristic, complemented
3C5×#5000C211yesmaximal, characteristic, complemented
4#11748551C211yesmaximal, characteristic, complemented
5#11748524C211yesmaximal, characteristic
6#11748446C211yesmaximal, characteristic, complemented
7#11748376C211yesmaximal, characteristic, complemented
8#11747054C211yesmaximal, characteristic, complemented
9C4×#6658C211yesmaximal, characteristic, complemented
10#11747044C211yesmaximal, characteristic, complemented
11#11747044C211yesmaximal, characteristic, complemented
12#11747023C211yesmaximal, characteristic, complemented
13C4×#6653C211yesmaximal, characteristic, complemented
14#11746971C211yesmaximal, characteristic, complemented
15#11746942C211yesmaximal, characteristic, complemented
16#10611114—31nomaximal, Hall
17C22×D60C2211yescharacteristic
18C3×C5×#117C2211yescharacteristic
19#91815C2211yescharacteristic
20#91782—21no—
21#91782—21no—
22C22⋊C4×D15—21no—
23C22⋊C4×D15—21no—
24C4×D60C2211yescharacteristic
25C4×D60C2211yescharacteristic
26C4×D60C2211yescharacteristic
27C4×D60C2211yescharacteristic
28C3×#4076C2211yescharacteristic
29C3×#4070C2211yescharacteristic
30C3×#4044—21no—
31C3×#4042—21no—
32C3×#4031—21no—
33C3×#4029—21no—
34C3×#4021C2211yescharacteristic, complemented
35C3×C4×D20C2211yescharacteristic, complemented
36C3×#4015C2211yescharacteristic, complemented
37C3×C4×Dic10C2211yescharacteristic, complemented
38C2×#6658C2211yescharacteristic
39C2×#6658C2211yescharacteristic
40C2×#6653C2211yescharacteristic
41C2×#6653C2211yescharacteristic
42C5×#830C2211yescharacteristic
43C5×#830C2211yescharacteristic
44C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
45C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
46C5×#803C2211yescharacteristic, complemented
47C4×C5×C3⋊C8C2211yescharacteristic, complemented
48#90990C2211yescharacteristic, complemented
49#90990C2211yescharacteristic, complemented
50#90987C2211yescharacteristic, complemented
51#90987C2211yescharacteristic, complemented
52#90971C2211yescharacteristic, complemented
53#90971C2211yescharacteristic, complemented
54#90968C2211yescharacteristic
55#90968C2211yescharacteristic
56#90968C2211yescharacteristic
57#90968C2211yescharacteristic
58#90965C2211yescharacteristic, complemented
59#90965C2211yescharacteristic, complemented
60#83460—51nomaximal, Hall
61#65868D311yescharacteristic, complemented
62#65855—31no—
63C5×#433—31no—
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×D60—21no—
79C2×D60—22no—
80C2×D60—22no—
81C2×D60C2311yescharacteristic
82C2×D60C2311yescharacteristic
83C2×C4×D15—21no—
84C2×C4×D15—21no—
85C2×C4×D15—21no—
86C2×C4×D15—21no—
87C2×C3×C22⋊D5—21no—
88C2×C3×D20C2311yescharacteristic
89C2×C3×C4×D5—21no—
90C2×C3×Dic10—21no—
91C2×C3×Dic10C2311yescharacteristic
92C3×C5×C4⋊C4D411yescharacteristic
93C3×C5×C4⋊C4D411yescharacteristic
94C3×C5×C22⋊C4D411yescharacteristic
95C3×C5×C22⋊C4D411yescharacteristic
96C3×C42×C5C2311yescharacteristic
97C3×C42×C5C2311yescharacteristic
98#6719—21no—
99#6714—21no—
100#6714—21no—
101#6714—21no—
102#6714—21no—
103C4⋊Dic15C2311yescharacteristic
104C4⋊Dic15C2311yescharacteristic
105C4×Dic15—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C3×C22⋊Dic5—21no—
111C3×#685—21no—
112C3×#685—21no—
113C3×#685—21no—
114C3×#685—21no—
115C3×C4⋊Dic5—21no—
116C3×C4⋊Dic5C2311yescharacteristic
117C3×C4⋊Dic5C2311yescharacteristic
118C3×#683—21no—
119C3×#683—21no—
120C3×C4×Dic5—21no—
121#6658—22no—
122#6658—22no—
123#6653—22no—
124#6653—22no—
125C3×#542—51no—
126#5521—51no—
127#5087—51no—
128#5084—51no—
129#5057—51no—
130#5057—51no—
131#5046—51no—
132#5045—51no—
133#5036—51no—
134#5035—51no—
135#5026—51no—
136C4×#215—51no—
137#5014—51no—
138C4×#213—51no—
139#5000D511yescharacteristic, complemented
140C22×D20—31no—
141C5×#117C2×D311yescharacteristic
142#4076C2×D311yescharacteristic
143#4072—31no—
144#4070C2×D311yescharacteristic
145C2×D40—31no—
146C2×D40—31no—
147C2×#677—31no—
148C2×#677—31no—
149#4044—21no—
150#4042—21no—
151#4039—61no—
152#4039—61no—
153#4031—21no—
154#4029—21no—
155D5×C22⋊C4—61no—
156D5×C22⋊C4—61no—
157#4021C2×D311yescharacteristic, complemented
158C4×D20—31no—
159C4×D20—31no—
160C4×D20—31no—
161C4×D20—31no—
162C4×D20C2×D311yescharacteristic, complemented
163#4015C2×D311yescharacteristic, complemented
164C4×Dic10C2×D311yescharacteristic, complemented
165C5×C4⋊C8—31no—
166C5×C4⋊C8—31no—
167C5×C22⋊C8—31no—
168C5×C22⋊C8—31no—
169C5×#97—31no—
170C4×C5×C8—31no—
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—81no—
189C22×D15—81no—
190C22×C3×D5—21no—
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
199C2×Dic15—21no—
200C2×Dic15—21no—
201D60—24no—
202D60—21no—
203D60—21no—
204D60#4112yes—
205D60#4112yes—
206C4×D15—81no—
207C4×D15—81no—
208C4×D15—81no—
209C4×D15—81no—
210C3×C22⋊D5—81no—
211C2×C3×Dic5—21no—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—21no—
214C3×D20—21no—
215C3×D20—21no—
216C3×C4×D5—81no—
217C3×Dic10—21no—
218C3×Dic10—21no—
219C3×Dic10—81no—
220C5×C3⋊C8—21no—
221C5×C3⋊C8—21no—
222C5×C3⋊C8—21no—
223C5×C3⋊C8—21no—
224C22×D12—51no—
225C3×C4⋊Q8—51no—
226C3×#126—101no—
227C3×#124—51no—
228C3×#124—101no—
229C3×#123—101no—
230C3×C22⋊Q8—51no—
231C3×C22⋊Q8—101no—
232C3×#121—51no—
233C3×C4×Q8—51no—
234C3×C4×D4—51no—
235C3×#117C2×D511yescharacteristic
236C2×#215—51no—
237C2×#215—51no—
238C2×#213—51no—
239C2×#213—51no—
240#926—51no—
241#893—101no—
242#893—101no—
243D3×C22⋊C4—101no—
244D3×C22⋊C4—101no—
245C4×D12—51no—
246C4×D12—51no—
247C4×D12—51no—
248C4×D12—51no—
249#835—51no—
250#835—51no—
251#832—51no—
252#832—51no—
253#830C2×D511yescharacteristic
254#830C2×D511yescharacteristic
255#809—51no—
256#809—51no—
257#809—51no—
258#809—51no—
259#808—51no—
260#808—51no—
261#807—51no—
262#807—51no—
263C4⋊(C3⋊C8)C2×D511yescharacteristic, complemented
264C4⋊(C3⋊C8)C2×D511yescharacteristic, complemented
265#803C2×D511yescharacteristic, complemented
266C4×C3⋊C8C2×D511yescharacteristic, complemented
267C23×D5—61no—
268C22×C4×C5C22×D311yescharacteristic
269C2×C22⋊D5—21no—
270C2×D20—31no—
271C2×D20—31no—
272C2×D20—62no—
273C2×D20—62no—
274C2×D20—61no—
275C2×D20C22×D311yescharacteristic
276C2×C4×D5—21no—
277C2×C4×D5—61no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×Dic10—21no—
282C2×Dic10C22×D311yescharacteristic
283C2×C5×C8—31no—
284C2×C5×C8—31no—
285C2×C5×C8—31no—
286C2×C5×C8—31no—
287C5×C4⋊C4#6711yescharacteristic
288C5×C4⋊C4#6711yescharacteristic
289C5×C22⋊C4#6711yescharacteristic
290C5×C22⋊C4#6711yescharacteristic
291C42×C5C22×D311yescharacteristic
292C42×C5C22×D311yescharacteristic
293C22⋊Dic5—21no—
294C22⋊Dic5—61no—
295#685—21no—
296#685—21no—
297#685—21no—
298#685—21no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—21no—
304C4⋊Dic5—31no—
305C4⋊Dic5—31no—
306C4⋊Dic5C22×D311yescharacteristic
307C4⋊Dic5C22×D311yescharacteristic
308#683—21no—
309#683—21no—
310C4×Dic5—21no—
311C4×Dic5—61no—
312D40—62no—
313D40—62no—
314#677—62no—
315#677—62no—
316#542—51no—
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#433—31no—
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—84no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344C2×C3×D5—41no—
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—
354C3×Dic5—41no—
355C3×Dic5—41no—
356C3×Dic5—41no—
357C23×D3—101no—
358C2×C3×Q8—51no—
359C2×C3×Q8—101no—
360C2×C3×D4—51no—
361C2×C3×D4—101no—
362C22×C3×C4—101no—
363C22×C3×C4C22×D511yescharacteristic
364C2×D12—51no—
365C2×D12—51no—
366C2×D12—102no—
367C2×D12—102no—
368C2×D12—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3—101no—
373C3×C4⋊C4—51no—
374C3×C4⋊C4—51no—
375C3×C4⋊C4—101no—
376C3×C4⋊C4—101no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4D2011yescharacteristic
379C3×C4⋊C4D2011yescharacteristic
380C3×C22⋊C4—101no—
381C3×C22⋊C4—101no—
382C3×C22⋊C4—101no—
383C3×C22⋊C4—101no—
384C3×C22⋊C4—101no—
385C3×C22⋊C4D2011yescharacteristic
386C3×C22⋊C4D2011yescharacteristic
387C3×C42—101no—
388C3×C42C22×D511yescharacteristic
389C3×C42C22×D511yescharacteristic
390#217—101no—
391#215—102no—
392#215—102no—
393#213—102no—
394#213—102no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4×Dic3—101no—
402C2×C3⋊C8C22×D511yescharacteristic
403C2×C3⋊C8C22×D511yescharacteristic
404C2×C3⋊C8C22×D511yescharacteristic
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5C2×#6711yescharacteristic
407C22×D5—21no—
408C22×D5—61no—
409C22×D5—61no—
410C22×D5—64no—
411C22×D5—241no—
412C22×D5—241no—
413C2×C4×C5—21no—
414C2×C4×C5—21no—
415C2×C4×C5C2×#6711yescharacteristic
416C2×C4×C5C2×#6711yescharacteristic
417C2×C4×C5C2×#6711yescharacteristic
418C2×C4×C5C2×#6711yescharacteristic
419C2×C4×C5C2×#6711yescharacteristic
420C2×C4×C5C23×D311yescharacteristic
421C22⋊D5—81no—
422C2×Dic5—21no—
423C2×Dic5—21no—
424C2×Dic5—21no—
425C2×Dic5—61no—
426C2×Dic5—61no—
427D20—21no—
428D20—21no—
429D20—32no—
430D20—32no—
431D20—64no—
432D20—61no—
433D20—61no—
434C4×D5—81no—
435C4×D5—241no—
436C4×D5—241no—
437C4×D5—241no—
438C4×D5—241no—
439Dic10—21no—
440Dic10—21no—
441Dic10—81no—
442C5×C8—61no—
443C5×C8—61no—
444C5×C8—61no—
445C5×C8—61no—
446C22×D4—151no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—51no—
452#126—101no—
453#124—51no—
454#124—101no—
455#123—101no—
456C22⋊Q8—51no—
457C22⋊Q8—101no—
458#121—51no—
459C4×Q8—51no—
460C4×D4—51no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—151no—
468#117D3×D511yescharacteristic
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—31no—
476C4⋊C8—31no—
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⋊C8—31no—
486C22⋊C8—31no—
487#97—31no—
488C4×C8—31no—
489C2×C3×C5—41no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—42no—
494D15—42no—
495C3×D5—81no—
496C23×C3—101no—
497C23×C3C2×D2011yescharacteristic
498C22×D3—101no—
499C22×D3—101no—
500C22×D3—104no—
501C22×D3—401no—
502C22×D3—401no—
503C3×Q8—101no—
504C3×Q8—101no—
505C3×Q8—401no—
506C3×D4—101no—
507C3×D4—101no—
508C3×D4—401no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—101no—
512C2×C3×C4—101no—
513C2×C3×C4—101no—
514C2×C3×C4—401no—
515C2×C3×C4C2×D2011yescharacteristic
516C2×C3×C4C2×D2011yescharacteristic
517C2×C3×C4C2×D2011yescharacteristic
518C2×C3×C4C2×D2011yescharacteristic
519C2×C3×C4C2×D2011yescharacteristic
520C2×C3×C4C23×D511yescharacteristic
521C2×Dic3—101no—
522C2×Dic3—101no—
523D12—52no—
524D12—52no—
525D12—104no—
526D12—101no—
527D12—101no—
528C4×D3—401no—
529C4×D3—401no—
530C4×D3—401no—
531C4×D3—401no—
532C3⋊C8—21no—
533C3⋊C8—21no—
534C3⋊C8—21no—
535C3⋊C8—21no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5C22×#6711yescharacteristic
540C2×D5—41no—
541C2×D5—41no—
542C2×D5—41no—
543C2×D5—62no—
544C2×D5—62no—
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—41no—
558Dic5—41no—
559Dic5—41no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—51no—
564C2×Q8—101no—
565C2×D4—51no—
566C2×D4—101no—
567C2×D4—151no—
568C2×D4—151no—
569C2×D4—302no—
570C2×D4—302no—
571C2×D4—301no—
572C22×C4—101no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—31no—
585C2×C8—31no—
586C4⋊C4—51no—
587C4⋊C4—51no—
588C4⋊C4—101no—
589C4⋊C4—101no—
590C4⋊C4—101no—
591C4⋊C4—151no—
592C4⋊C4—151no—
593C4⋊C4#120211yescharacteristic
594C4⋊C4#120211yescharacteristic
595C22⋊C4—101no—
596C22⋊C4—101no—
597C22⋊C4—101no—
598C22⋊C4—101no—
599C22⋊C4—101no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4#120211yescharacteristic
606C22⋊C4#120211yescharacteristic
607C42—101no—
608C42—301no—
609C42C2×D3×D511yescharacteristic
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—201no—
616C22×C3—201no—
617C22×C3—201no—
618C22×C3C22×D2011yescharacteristic
619C2×D3—102no—
620C2×D3—102no—
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×C4—201no—
632C3×C4—201no—
633C3×C4—201no—
634C3×C4D5×#4111yescharacteristic
635C3×C4D5×#4111yescharacteristic
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5#582811yescharacteristic
640C2×C5#583511yescharacteristic
641C2×C5#583711yescharacteristic
642D5—81no—
643D5—122no—
644D5—122no—
645C23—101no—
646C23—304no—
647C23—301no—
648C23—301no—
649C23—1201no—
650C23—1201no—
651C23C2×#120211yescharacteristic
652Q8—101no—
653Q8—101no—
654Q8—401no—
655D4—101no—
656D4—101no—
657D4—152no—
658D4—152no—
659D4—304no—
660D4—301no—
661D4—301no—
662D4—401no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—101no—
666C2×C4—101no—
667C2×C4—101no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—401no—
671C2×C4—1201no—
672C2×C4—1201no—
673C2×C4—1201no—
674C2×C4—1201no—
675C2×C4C2×#120211yescharacteristic
676C2×C4C2×#120211yescharacteristic
677C2×C4C2×#120211yescharacteristic
678C2×C4C2×#120211yescharacteristic
679C2×C4C2×#120211yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—61no—
682C8—61no—
683C8—61no—
684C8—61no—
685C2×C3—41no—
686C2×C3—401no—
687C2×C3#6585811yescharacteristic
688C2×C3#6608511yescharacteristic
689C2×C3#6608611yescharacteristic
690D3—202no—
691D3—202no—
692C5#8346011yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—201no—
697C22—201no—
698C22—201no—
699C22—302no—
700C22—302no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C22×#120211yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—201no—
713C4—201no—
714C4—201no—
715C4—601no—
716C4—601no—
717C4#9201611yescharacteristic
718C4#9201611yescharacteristic
719C3#1061111411yescharacteristic, complemented, Sylow
720C2—41no—
721C2—401no—
722C2—602no—
723C2—602no—
724C2#1175459011yescharacteristic
725C2#1175531011yescharacteristic
726C2#1175531111yescharacteristic
subgroupG/H
centerC22C22×#1202
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#117C22
socleC22×C3×C5C22×D4
prime radical#11748524C2
hypercenter#117D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
1. #11756280C2semidirect
2. C3×#65868C2semidirect
3. C5×#5000C2semidirect
4. #11748551C2semidirect
6. #11748446C2semidirect
7. #11748376C2semidirect
8. #11747054C2semidirect
9. C4×#6658C2semidirect
10. #11747044C2semidirect
11. #11747044C2semidirect
12. #11747023C2semidirect
13. C4×#6653C2semidirect
14. #11746971C2semidirect
15. #11746942C2semidirect
34. C3×#4021C22semidirect
35. C3×C4×D20C22semidirect
36. C3×#4015C22semidirect
37. C3×C4×Dic10C22semidirect
44. C5×C4⋊(C3⋊C8)C22semidirect
45. C5×C4⋊(C3⋊C8)C22semidirect
46. C5×#803C22semidirect
47. C4×C5×C3⋊C8C22semidirect
48. #90990C22semidirect
49. #90990C22semidirect
50. #90987C22semidirect
51. #90987C22semidirect
52. #90971C22semidirect
53. #90971C22semidirect
58. #90965C22semidirect
59. #90965C22semidirect
61. #65868D3semidirect
139. #5000D5semidirect
157. #4021C2×D3semidirect
162. C4×D20C2×D3semidirect
163. #4015C2×D3semidirect
164. C4×Dic10C2×D3semidirect
263. C4⋊(C3⋊C8)C2×D5semidirect
264. C4⋊(C3⋊C8)C2×D5semidirect
265. #803C2×D5semidirect
266. C4×C3⋊C8C2×D5semidirect
611. C3×C5#3118semidirect
692. C5#83460semidirect
719. C3#10611114semidirect

Maximal subgroups

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

subgroupindex
#117562802
C3×#658682
C5×#50002
#117485512
#117485242
#117484462
#117483762
#117470542
C4×#66582
#117470442
#117470232
C4×#66532
#117469712
#117469422
#106111143
#834605