Finite Group Databasebeta

← #14435689

Subgroups — #14435689

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
1C3×#65916C211yesmaximal, characteristic, complemented
2#11752725C211yesmaximal, characteristic, complemented
3#11751127C211yesmaximal, characteristic, complemented
4C4×C5×#215C211yesmaximal, characteristic, complemented
5#11749397C211yesmaximal, characteristic, complemented
6#11749226C211yesmaximal, characteristic, complemented
7#11749224C211yesmaximal, characteristic, complemented
8#11749209C211yesmaximal, characteristic, complemented
9#11747480C211yesmaximal, characteristic
10#11747240C211yesmaximal, characteristic, complemented
11#11747237C211yesmaximal, characteristic, complemented
12#11747207C211yesmaximal, characteristic, complemented
13C4×#6653C211yesmaximal, characteristic, complemented
14#11747021C211yesmaximal, characteristic, complemented
15#11746872C211yesmaximal, characteristic, complemented
16#10611427—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C3×C4×C5×Q8C2211yescharacteristic, complemented
19C2×#6717C2211yescharacteristic
20C4×D60C2211yescharacteristic
21C2×C5×#215C2211yescharacteristic
22C4×C5×D12C2211yescharacteristic
23C3×#4093C2211yescharacteristic, complemented
24C3×#4092C2211yescharacteristic
25C3×#4042—21no—
26C3×#4041C2211yescharacteristic
27C3×#4040—21no—
28C3×#4034C2211yescharacteristic, complemented
29C3×#4022—21no—
30C3×#4021—21no—
31C3×C4×D20C2211yescharacteristic, complemented
32C3×#4018C2211yescharacteristic
33#91473—21no—
34D3×#685—21no—
35#91446—21no—
36#91418C2211yescharacteristic
37Dic5×D12C2211yescharacteristic
38#91406—21no—
39#91358C2211yescharacteristic
40C2×#6653C2211yescharacteristic
41C2×#6652C2211yescharacteristic
42#91119C2211yescharacteristic, complemented
43#91093C2211yescharacteristic
44#91091C2211yescharacteristic, complemented
45#91087C2211yescharacteristic, complemented
46C5×#835C2211yescharacteristic, complemented
47C5×#809C2211yescharacteristic
48C5×#808C2211yescharacteristic, complemented
49C4×C5×C3⋊C8C2211yescharacteristic, complemented
50#90990C2211yescharacteristic, complemented
51#90986C2211yescharacteristic, complemented
52#90982C2211yescharacteristic, complemented
53#90982C2211yescharacteristic, complemented
54#90968C2211yescharacteristic
55#90966C2211yescharacteristic
56#90965C2211yescharacteristic, complemented
57#90964C2211yescharacteristic, complemented
58#90955C2211yescharacteristic
59#90955C2211yescharacteristic
60#83460—51nomaximal, Hall
61#65916D311yescharacteristic, complemented
62#65879—31no—
63C4×C5×SD16—31no—
64#65458—31no—
65#65454—31no—
66#65315—31no—
67#65303—31no—
68#65159—31no—
69#65155—31no—
70#65108—31no—
71#65103—31no—
72#65062—31no—
73#65048—31no—
74C4×D40—31no—
75#64979—31no—
76C22×D3×D5—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C2×C5×D12C2311yescharacteristic
81C2×C4×C5×D3—21no—
82C2×C3×D20—21no—
83C2×C3×D20C2311yescharacteristic
84C2×C3×C4×D5—21no—
85C2×C3×C4×D5C2311yescharacteristic
86C2×C3×Dic10—21no—
87C2×#1203—21no—
88C2×#1200—21no—
89C2×D3×Dic5—21no—
90D5×D12—22no—
91D5×D12—22no—
92C3×C5×C4⋊C4—21no—
93C3×C5×C4⋊C4C2311yescharacteristic
94C3×C42×C5—21no—
95C3×C42×C5C2311yescharacteristic
96#6717—22no—
97#6714—21no—
98C4⋊Dic15C2311yescharacteristic
99C2×C3⋊#168C2311yescharacteristic
100C2×C3⋊#168C2311yescharacteristic
101C5×#215—22no—
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3C2311yescharacteristic
104C2×C5×C3⋊C8C2311yescharacteristic
105C2×C5×C3⋊C8C2311yescharacteristic
106C3×#685—21no—
107C3×#685—21no—
108C3×#685—21no—
109C3×#685—21no—
110C3×#685—21no—
111C3×#685D411yescharacteristic
112C3×#685D411yescharacteristic
113C3×C4⋊Dic5C2311yescharacteristic
114C3×#683—21no—
115C3×#683—21no—
116C3×#683D411yescharacteristic
117C3×#683D411yescharacteristic
118C3×C4×Dic5C2311yescharacteristic
119#6667—21no—
120(C2×D3)⋊Dic5—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123#6653—22no—
124#6652—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×#215D511yescharacteristic, complemented
137#5014—51no—
138C4×#213—51no—
139#5000—51no—
140C2×D4×D5—31no—
141C2×C5×SD16—31no—
142C4×C5×Q8C2×D311yescharacteristic, complemented
143C4×C5×D4—31no—
144#4093C2×D311yescharacteristic, complemented
145#4092C2×D311yescharacteristic
146C2×#688—31no—
147D4×Dic5—31no—
148C2×#686—31no—
149C4×C22⋊D5—61no—
150C2×#685—61no—
151C2×D40—31no—
152#4042—21no—
153#4041C2×D311yescharacteristic
154#4040—21no—
155#4039—31no—
156#4038—31no—
157#4034C2×D311yescharacteristic, complemented
158#4027—61no—
159D5×C22⋊C4—61no—
160#4022—21no—
161#4021—21no—
162C4×D20—31no—
163C4×D20C2×D311yescharacteristic, complemented
164#4018C2×D311yescharacteristic
165C5×#106—31no—
166C5×#103—31no—
167C5×#102—31no—
168C4×C5×C8—31no—
169#3967—31no—
170#3964—31no—
171#3953—31no—
172#3953—31no—
173#3952—31no—
174#3952—31no—
175#3950—31no—
176#3946—31no—
177#3946—31no—
178#3941—31no—
179#3941—31no—
180#3940—31no—
181#3939—31no—
182#3935—31no—
183#3118—151noSylow
184C22×D15—21no—
185C22×C5×D3—21no—
186C22×C3×D5—21no—
187C22×C3×D5C2×D411yescharacteristic
188C2×D3×D5—24no—
189C2×D3×D5—81no—
190C2×D3×D5—81no—
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199D60—21no—
200D60#4112yes—
201C4×D15—81no—
202C2×C5×Dic3—21no—
203C5×D12—21no—
204C5×D12#4112yes—
205C4×C5×D3—81no—
206C2×C3×Dic5—21no—
207C2×C3×Dic5C2×D411yescharacteristic
208C2×C3×Dic5C2×D411yescharacteristic
209C2×C3×Dic5C2×D411yescharacteristic
210C3×D20—21no—
211C3×D20—21no—
212C3×D20—81no—
213C3×C4×D5—21no—
214C3×C4×D5—21no—
215C3×C4×D5—81no—
216C3×Dic10—81no—
217#1203—24no—
218#1200—81no—
219D3×Dic5—81no—
220C3⋊#168—21no—
221C3⋊#168—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×Q8C2×D511yescharacteristic, complemented
234C3×C4×D4—51no—
235C3×#117—51no—
236C2×#215—51no—
237C2×#215C2×D511yescharacteristic
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×D12C2×D511yescharacteristic
249#835—51no—
250#835C2×D511yescharacteristic, complemented
251#832—51no—
252#832—51no—
253#830—51no—
254#830—51no—
255#809—51no—
256#809—51no—
257#809—51no—
258#809C2×D511yescharacteristic
259#808—51no—
260#808C2×D511yescharacteristic, complemented
261#807—51no—
262#807—51no—
263C4⋊(C3⋊C8)—51no—
264C4⋊(C3⋊C8)—51no—
265#803—51no—
266C4×C3⋊C8C2×D511yescharacteristic, complemented
267C23×D5—61no—
268C2×C5×Q8C22×D311yescharacteristic
269C2×C5×D4—31no—
270C22×C4×C5—61no—
271C2×C22⋊D5—61no—
272C22×Dic5—61no—
273D4×D5—62no—
274D4×D5—62no—
275C2×D20—21no—
276C2×D20—31no—
277C2×D20C22×D311yescharacteristic
278C2×C4×D5—21no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5C22×D311yescharacteristic
282C2×Dic10—21no—
283C5×SD16—62no—
284C2×C5×C8—31no—
285C2×C5×C8—31no—
286C5×C4⋊C4—21no—
287C5×C4⋊C4—31no—
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C22⋊C4—61no—
290C42×C5—21no—
291C42×C5C22×D311yescharacteristic
292C22⋊Dic5—61no—
293#688—62no—
294#686—62no—
295#685—21no—
296#685—21no—
297#685—21no—
298#685—21no—
299#685—21no—
300#685—61no—
301#685—61no—
302#685—61no—
303#685#6711yescharacteristic
304#685#6711yescharacteristic
305C4⋊Dic5—31no—
306C4⋊Dic5C22×D311yescharacteristic
307#683—21no—
308#683—21no—
309#683#6711yescharacteristic
310#683#6711yescharacteristic
311C4×Dic5—61no—
312C4×Dic5C22×D311yescharacteristic
313C2×#168—31no—
314C2×#168—31no—
315D40—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—31no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5C22×D411yescharacteristic
332C2×D15—22no—
333C2×D15—41no—
334C2×D15—41no—
335C2×C5×D3—22no—
336C2×C5×D3—41no—
337C2×C5×D3—41no—
338C2×C3×D5—21no—
339C2×C3×D5—21no—
340C2×C3×D5—21no—
341C2×C3×D5—41no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344D3×D5—84no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—41no—
348C3×C4×C5—41no—
349C3×C4×C5C2×#4111yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351Dic15—41no—
352C3×Dic5—21no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C5×Dic3—41no—
357C23×D3—101no—
358C2×C3×Q8—101no—
359C2×C3×Q8C22×D511yescharacteristic
360C2×C3×D4—51no—
361C2×C3×D4—101no—
362C22×C3×C4—51no—
363C22×C3×C4—101no—
364C2×D12—51no—
365C2×D12—102no—
366C2×D12—101no—
367C2×D12—102no—
368C2×D12C22×D511yescharacteristic
369C2×C4×D3—21no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3—101no—
373C3×C4⋊C4—21no—
374C3×C4⋊C4—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4—101no—
379C3×C4⋊C4C22×D511yescharacteristic
380C3×C22⋊C4—51no—
381C3×C22⋊C4—51no—
382C3×C22⋊C4—101no—
383C3×C22⋊C4—101no—
384C3×C22⋊C4—101no—
385C3×C22⋊C4—101no—
386C3×C22⋊C4—101no—
387C3×C42—21no—
388C3×C42—51no—
389C3×C42C22×D511yescharacteristic
390#217—101no—
391#215—22no—
392#215—102no—
393#213—102no—
394#213—102no—
395(C2×D3)⋊C4—21no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3C22×D511yescharacteristic
401C4×Dic3—101no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8C22×D511yescharacteristic
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5—61no—
407C22×D5—21no—
408C22×D5—64no—
409C22×D5—61no—
410C22×D5—241no—
411C22×D5—241no—
412C22×D5C2×#6711yescharacteristic
413C5×Q8—21no—
414C5×Q8—21no—
415C5×D4—32no—
416C5×D4—61no—
417C2×C4×C5—21no—
418C2×C4×C5—21no—
419C2×C4×C5—61no—
420C2×C4×C5—241no—
421C2×C4×C5C2×#6711yescharacteristic
422C2×C4×C5C2×#6711yescharacteristic
423C2×C4×C5C23×D311yescharacteristic
424C22⋊D5—64no—
425C2×Dic5—21no—
426C2×Dic5—61no—
427C2×Dic5—241no—
428C2×Dic5C2×#6711yescharacteristic
429C2×Dic5C2×#6711yescharacteristic
430C2×Dic5C2×#6711yescharacteristic
431D20—21no—
432D20—21no—
433D20—32no—
434D20—61no—
435D20—81no—
436C4×D5—21no—
437C4×D5—21no—
438C4×D5—81no—
439C4×D5—241no—
440C4×D5—241no—
441Dic10—81no—
442C5×C8—61no—
443C5×C8—61no—
444#168—61no—
445#168—61no—
446C22×D4—151no—
447C2×SD16—31no—
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×Q8D3×D511yescharacteristic, complemented
460C4×D4—31no—
461C4×D4—51no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—51no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—31no—
474#106—151no—
475C4⋊C8—151no—
476C4⋊C8—151no—
477#103—31no—
478#103—151no—
479#102—31no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—151no—
486C22⋊C8—151no—
487#97—151no—
488C4×C8—31no—
489C2×C3×C5#52511yescharacteristic
490C2×C3×C5#57611yescharacteristic
491C2×C3×C5#57711yescharacteristic
492D15—42no—
493C3×D5—41no—
494C3×D5—81no—
495C5×D3—42no—
496C23×C3—51no—
497C23×C3—101no—
498C22×D3—21no—
499C22×D3—104no—
500C22×D3—101no—
501C22×D3—401no—
502C22×D3—401no—
503C3×Q8—21no—
504C3×Q8—21no—
505C3×Q8—401no—
506C3×D4—101no—
507C3×D4—101no—
508C3×D4—401no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—51no—
512C2×C3×C4—51no—
513C2×C3×C4—51no—
514C2×C3×C4—101no—
515C2×C3×C4—101no—
516C2×C3×C4—101no—
517C2×C3×C4—401no—
518C2×C3×C4D4×D511yescharacteristic
519C2×C3×C4D4×D511yescharacteristic
520C2×C3×C4C23×D511yescharacteristic
521C2×Dic3—21no—
522C2×Dic3—101no—
523D12—21no—
524D12—52no—
525D12—104no—
526D12—101no—
527D12#70912yes—
528C4×D3—81no—
529C4×D3—401no—
530C4×D3—401no—
531C4×D3—401no—
532C3⋊C8—21no—
533C3⋊C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—62no—
537C22×C5—121no—
538C22×C5—121no—
539C22×C5C22×#6711yescharacteristic
540C2×D5—21no—
541C2×D5—21no—
542C2×D5—21no—
543C2×D5—41no—
544C2×D5—41no—
545C2×D5—41no—
546C2×D5—62no—
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—244no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—41no—
553C4×C5—41no—
554C4×C5—121no—
555C4×C5D3×#4111yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—21no—
558Dic5—21no—
559Dic5—21no—
560Dic5—41no—
561Dic5—121no—
562C24—301no—
563C2×Q8—101no—
564C2×Q8C2×D3×D511yescharacteristic
565C2×D4—31no—
566C2×D4—51no—
567C2×D4—101no—
568C2×D4—151no—
569C2×D4—301no—
570C2×D4—302no—
571C2×D4—302no—
572C22×C4—51no—
573C22×C4—61no—
574C22×C4—101no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578SD16—62no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—21no—
587C4⋊C4—31no—
588C4⋊C4—51no—
589C4⋊C4—51no—
590C4⋊C4—51no—
591C4⋊C4—101no—
592C4⋊C4—101no—
593C4⋊C4—151no—
594C4⋊C4C2×D3×D511yescharacteristic
595C22⋊C4—51no—
596C22⋊C4—51no—
597C22⋊C4—61no—
598C22⋊C4—101no—
599C22⋊C4—101no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C22⋊C4—101no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—21no—
608C42—51no—
609C42—301no—
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—101no—
613C22×C3—101no—
614C22×C3—101no—
615C22×C3—201no—
616C22×C3—201no—
617C22×C3—201no—
618C22×C3C2×D4×D511yescharacteristic
619C2×D3—22no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—102no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—101no—
631C3×C4—101no—
632C3×C4—101no—
633C3×C4—201no—
634C3×C4C2×#70911yescharacteristic
635C3×C4D5×#4111yescharacteristic
636Dic3—41no—
637Dic3—201no—
638C2×C5—122no—
639C2×C5#582811yescharacteristic
640C2×C5#583511yescharacteristic
641C2×C5#583711yescharacteristic
642D5—41no—
643D5—81no—
644D5—122no—
645C23—51no—
646C23—61no—
647C23—101no—
648C23—304no—
649C23—301no—
650C23—1201no—
651C23—1201no—
652Q8—21no—
653Q8—21no—
654Q8—401no—
655D4—32no—
656D4—61no—
657D4—101no—
658D4—101no—
659D4—152no—
660D4—304no—
661D4—301no—
662D4—401no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—51no—
666C2×C4—51no—
667C2×C4—51no—
668C2×C4—61no—
669C2×C4—101no—
670C2×C4—101no—
671C2×C4—101no—
672C2×C4—241no—
673C2×C4—301no—
674C2×C4—401no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4D5×#6711yescharacteristic
679C2×C4D5×#6711yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—61no—
682C8—61no—
683C8—301no—
684C8—301no—
685C2×C3—201no—
686C2×C3—401no—
687C2×C3#6588111yescharacteristic
688C2×C3#6609611yescharacteristic
689C2×C3#6610311yescharacteristic
690D3—42no—
691D3—202no—
692C5#8346011yescharacteristic, complemented, Sylow
693C22—62no—
694C22—101no—
695C22—101no—
696C22—101no—
697C22—121no—
698C22—121no—
699C22—201no—
700C22—201no—
701C22—201no—
702C22—302no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D5×#6711yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—41no—
711C4—101no—
712C4—101no—
713C4—101no—
714C4—121no—
715C4—201no—
716C4—601no—
717C4D3×#70911yescharacteristic
718C4#9201611yescharacteristic
719C3#1061142711yescharacteristic, complemented, Sylow
720C2—122no—
721C2—201no—
722C2—401no—
723C2—602no—
724C2#1175463111yescharacteristic
725C2#1175508511yescharacteristic
726C2#1175531811yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radical#11747480C2
hypercenterC4×Q8D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#65916C2semidirect
2. #11752725C2semidirect
3. #11751127C2semidirect
4. C4×C5×#215C2semidirect
5. #11749397C2semidirect
6. #11749226C2semidirect
7. #11749224C2semidirect
8. #11749209C2semidirect
10. #11747240C2semidirect
11. #11747237C2semidirect
12. #11747207C2semidirect
13. C4×#6653C2semidirect
14. #11747021C2semidirect
15. #11746872C2semidirect
18. C3×C4×C5×Q8C22semidirect
23. C3×#4093C22semidirect
28. C3×#4034C22semidirect
31. C3×C4×D20C22semidirect
42. #91119C22semidirect
44. #91091C22semidirect
45. #91087C22semidirect
46. C5×#835C22semidirect
48. C5×#808C22semidirect
49. C4×C5×C3⋊C8C22semidirect
50. #90990C22semidirect
51. #90986C22semidirect
52. #90982C22semidirect
53. #90982C22semidirect
56. #90965C22semidirect
57. #90964C22semidirect
61. #65916D3semidirect
136. C4×#215D5semidirect
142. C4×C5×Q8C2×D3semidirect
144. #4093C2×D3semidirect
157. #4034C2×D3semidirect
163. C4×D20C2×D3semidirect
233. C3×C4×Q8C2×D5semidirect
250. #835C2×D5semidirect
260. #808C2×D5semidirect
266. C4×C3⋊C8C2×D5semidirect
459. C4×Q8D3×D5semidirect
611. C3×C5#3118semidirect
692. C5#83460semidirect
719. C3#10611427semidirect

Maximal subgroups

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

subgroupindex
C3×#659162
#117527252
#117511272
C4×C5×#2152
#117493972
#117492262
#117492242
#117492092
#117474802
#117472402
#117472372
#117472072
C4×#66532
#117470212
#117468722
#106114273
#834605