Finite Group Databasebeta

← #14435754

Subgroups — #14435754

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#11752727C211yesmaximal, characteristic, complemented
2#11752658C211yesmaximal, characteristic, complemented
3#11750943C211yesmaximal, characteristic, complemented
4C5×#4840C211yesmaximal, characteristic, complemented
5C3×#65133C211yesmaximal, characteristic, complemented
6#11748112C211yesmaximal, characteristic
7#11748110C211yesmaximal, characteristic, complemented
8#11747922C211yesmaximal, characteristic, complemented
9#11747799C211yesmaximal, characteristic, complemented
10Dic3×#677C211yesmaximal, characteristic, complemented
11#11747743C211yesmaximal, characteristic, complemented
12#11747740C211yesmaximal, characteristic, complemented
13#11747680C211yesmaximal, characteristic, complemented
14#11747044C211yesmaximal, characteristic, complemented
15#11746889C211yesmaximal, characteristic, complemented
16#10611114—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C4×D60C2211yescharacteristic
19#91758C2211yescharacteristic, complemented
20C5×#872C2211yescharacteristic
21C2×C3×D40C2211yescharacteristic
22C2×C3×#677C2211yescharacteristic
23C3×#4021C2211yescharacteristic, complemented
24C3×C4×D20C2211yescharacteristic
25#91473—21no—
26D5×(C2×D3)⋊C4—21no—
27#91462—21no—
28#91456C2211yescharacteristic
29#91444—21no—
30#91431—21no—
31#91428C2211yescharacteristic
32Dic3×D20C2211yescharacteristic
33Dic3×D20C2211yescharacteristic, complemented
34#91414—21no—
35#91396—21no—
36#91369C2211yescharacteristic
37#91362—21no—
38#91338C2211yescharacteristic
39Dic3×Dic10C2211yescharacteristic, complemented
40C2×#6658C2211yescharacteristic
41C2×#6653C2211yescharacteristic
42C3×C5×C4⋊C8C2211yescharacteristic, complemented
43#91105C2211yescharacteristic
44#91105C2211yescharacteristic
45#91101C2211yescharacteristic, complemented
46#91101C2211yescharacteristic, complemented
47C5×(C2×D3)⋊C8C2211yescharacteristic
48C5×(C2×D3)⋊C8C2211yescharacteristic
49C5×#815C2211yescharacteristic, complemented
50C5×C8×Dic3C2211yescharacteristic, complemented
51C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
52C3×#3953C2211yescharacteristic, complemented
53C3×#3948C2211yescharacteristic, complemented
54#90990C2211yescharacteristic, complemented
55#90990C2211yescharacteristic, complemented
56#90971C2211yescharacteristic, complemented
57#90965C2211yescharacteristic
58#90965C2211yescharacteristic
59#90965C2211yescharacteristic, complemented
60#80509—51nomaximal, Hall
61#65868—31no—
62#65855—31no—
63C5×#433—31no—
64#65135—31no—
65#65133—31no—
66#65133D311yescharacteristic, complemented
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—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30—21no—
80C2×C4×C5×D3C2311yescharacteristic
81C2×C3×D20C2311yescharacteristic
82C2×C3×D20C2311yescharacteristic
83C2×C3×C4×D5—21no—
84C2×C3×Dic10C2311yescharacteristic
85C2×#1202—21no—
86C2×#1201—21no—
87C2×#1200—21no—
88C2×D5×Dic3—21no—
89C2×D5×Dic3—21no—
90D3×D20—22no—
91D3×D20—22no—
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94C3×C42×C5C2311yescharacteristic
95#6714—21no—
96C4⋊Dic15—21no—
97C4⋊Dic15C2311yescharacteristic
98C4⋊Dic15C2311yescharacteristic
99C4⋊Dic15C2311yescharacteristic
100C5×(C2×D3)⋊C4D411yescharacteristic
101C5×(C2×D3)⋊C4D411yescharacteristic
102C5×Dic3⋊C4D411yescharacteristic
103C5×Dic3⋊C4D411yescharacteristic
104C4×C5×Dic3C2311yescharacteristic
105C2×C5×C3⋊C8C2311yescharacteristic
106C2×C5×C3⋊C8C2311yescharacteristic
107C3×#685—21no—
108C3×#685—21no—
109C3×#685—21no—
110C3×C4⋊Dic5C2311yescharacteristic
111C3×D40—22no—
112C3×#677—22no—
113#6669—21no—
114#6668—21no—
115#6667—21no—
116(C2×D3)⋊Dic5—21no—
117(C2×D3)⋊Dic5—21no—
118#6665—21no—
119#6665—21no—
120#6665—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123#6658—22no—
124#6653—22no—
125#5682—51no—
126#5545—51no—
127C3×#463—51no—
128#5169—51no—
129Dic3×SD16—51no—
130#5156—51no—
131#5152—51no—
132#5057—51no—
133#5007—51no—
134#4842—51no—
135#4840D511yescharacteristic, complemented
136#4817—51no—
137#4815—51no—
138#4779—51no—
139#4756—51no—
140C22×D20—31no—
141C5×#117—31no—
142#4076—31no—
143#4072—31no—
144#4070—31no—
145C2×D40—31no—
146C2×D40C2×D311yescharacteristic
147C2×#677—31no—
148C2×#677C2×D311yescharacteristic
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#4021C2×D311yescharacteristic, complemented
158C4×D20—31no—
159C4×D20—31no—
160C4×D20—31no—
161C4×D20—31no—
162C4×D20C2×D311yescharacteristic
163#4015—31no—
164C4×Dic10—31no—
165C5×C4⋊C8—31no—
166C5×C4⋊C8C2×D311yescharacteristic, complemented
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#3953C2×D311yescharacteristic, complemented
177#3950—31no—
178#3950—31no—
179#3949—31no—
180#3949—31no—
181#3948—31no—
182#3948C2×D311yescharacteristic, complemented
183#3118—151noSylow
184C22×D15—21no—
185C22×C5×D3C2×D411yescharacteristic
186C22×C3×D5—21no—
187C22×C3×D5—21no—
188C2×D3×D5—24no—
189C2×D3×D5—81no—
190C2×D3×D5—81no—
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2×D411yescharacteristic
193C2×C3×C4×C5C2411yescharacteristic
194C2×Dic15—21no—
195C2×Dic15—21no—
196C2×Dic15—21no—
197D60—21no—
198D60#4112yes—
199C4×D15—81no—
200Dic30—81no—
201C2×C5×Dic3C2×D411yescharacteristic
202C2×C5×Dic3C2×D411yescharacteristic
203C2×C5×Dic3C2×D411yescharacteristic
204C4×C5×D3—21no—
205C4×C5×D3—21no—
206C2×C3×Dic5—21no—
207C2×C3×Dic5—21no—
208C3×D20—21no—
209C3×D20—21no—
210C3×D20—21no—
211C3×D20#4112yes—
212C3×C4×D5—81no—
213C3×Dic10—21no—
214C3×Dic10—21no—
215#1202—24no—
216#1201—81no—
217#1200—81no—
218D5×Dic3—81no—
219D5×Dic3—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C5×C3⋊C8—21no—
223C5×C3⋊C8—21no—
224C2×D3×D4—51no—
225C2×C3×SD16—51no—
226C2×C3×D8—51no—
227C3×#124—51no—
228C3×C4×D4—51no—
229#946—51no—
230Q8×Dic3—51no—
231C2×#215—51no—
232#938—51no—
233D4×Dic3—51no—
234D4×Dic3—51no—
235C2×#213—51no—
236C4×#67—101no—
237C2×(C2×D3)⋊C4—101no—
238#893—51no—
239#892—51no—
240#886—101no—
241#885—101no—
242#67⋊C4—101no—
243D3×C22⋊C4—101no—
244#879—101no—
245#878—101no—
246C4×D12—51no—
247#872C2×D511yescharacteristic
248#869—51no—
249C3×C4⋊C8C2×D511yescharacteristic, complemented
250C3×#103—51no—
251C3×#102—51no—
252#835—51no—
253#832—51no—
254#832—51no—
255#832—51no—
256#821—51no—
257#821—51no—
258(C2×D3)⋊C8C2×D511yescharacteristic
259(C2×D3)⋊C8C2×D511yescharacteristic
260#817—51no—
261#817—51no—
262#815C2×D511yescharacteristic, complemented
263C8×Dic3C2×D511yescharacteristic, complemented
264#807—51no—
265#807—51no—
266C4⋊(C3⋊C8)C2×D511yescharacteristic, complemented
267C23×D5—61no—
268C22×C4×C5—31no—
269C2×C22⋊D5—61no—
270C2×D20—31no—
271C2×D20—62no—
272C2×D20—61no—
273C2×D20—62no—
274C2×D20C22×D311yescharacteristic
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—61no—
282C2×Dic10C22×D311yescharacteristic
283C2×C5×C8—31no—
284C2×C5×C8—31no—
285C2×C5×C8C22×D311yescharacteristic
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4—31no—
288C5×C4⋊C4—31no—
289C5×C22⋊C4—31no—
290C5×C22⋊C4—31no—
291C42×C5—31no—
292C42×C5C22×D311yescharacteristic
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295#685—21no—
296#685—21no—
297#685—21no—
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—61no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—61no—
309#683—61no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312D40—22no—
313D40—62no—
314#677—22no—
315#677—62no—
316#542—151no—
317#518—151no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—51no—
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×C5C22×D411yescharacteristic
332C2×D15—22no—
333C2×D15—41no—
334C2×D15—41no—
335C2×C5×D3—21no—
336C2×C5×D3—21no—
337C2×C5×D3—21no—
338C2×C3×D5—22no—
339C2×C3×D5—41no—
340C2×C3×D5—41no—
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×C5C2×#4111yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—41no—
350Dic15—41no—
351Dic15—41no—
352C3×Dic5—41no—
353C3×Dic5—41no—
354C5×Dic3—21no—
355C5×Dic3—21no—
356C5×Dic3—21no—
357C23×D3—101no—
358C2×C3×Q8—51no—
359C2×C3×D4—51no—
360C2×C3×D4—51no—
361C22×C3×C4—101no—
362C2×#67—101no—
363C2×#67—101no—
364C22×Dic3—101no—
365C22×Dic3—101no—
366D3×D4—102no—
367D3×D4—102no—
368C2×D12—51no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3C22×D511yescharacteristic
372C2×Dic6—101no—
373C3×SD16—102no—
374C3×D8—102no—
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4—51no—
378C3×C22⋊C4—101no—
379C3×C22⋊C4—101no—
380C3×C22⋊C4—101no—
381C3×C42C22×D511yescharacteristic
382#217—101no—
383#217—101no—
384#217—101no—
385#215—102no—
386#213—102no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4D2011yescharacteristic
392(C2×D3)⋊C4D2011yescharacteristic
393C4⋊Dic3—51no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—101no—
397C4⋊Dic3—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4D2011yescharacteristic
400Dic3⋊C4D2011yescharacteristic
401C4×Dic3—101no—
402C4×Dic3—101no—
403C4×Dic3C22×D511yescharacteristic
404C2×C3⋊C8C22×D511yescharacteristic
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5—31no—
407C22×D5—21no—
408C22×D5—21no—
409C22×D5—64no—
410C22×D5—61no—
411C22×D5—241no—
412C22×D5—241no—
413C2×C4×C5—31no—
414C2×C4×C5—31no—
415C2×C4×C5—31no—
416C2×C4×C5—61no—
417C2×C4×C5—61no—
418C2×C4×C5D3×D411yescharacteristic
419C2×C4×C5D3×D411yescharacteristic
420C2×C4×C5C23×D311yescharacteristic
421C22⋊D5—241no—
422C2×Dic5—21no—
423C2×Dic5—21no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5—61no—
427D20—21no—
428D20—21no—
429D20—21no—
430D20—32no—
431D20—64no—
432D20—61no—
433D20#23712yes—
434C4×D5—81no—
435C4×D5—241no—
436C4×D5—241no—
437C4×D5—241no—
438C4×D5—241no—
439Dic10—21no—
440Dic10—21no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444C5×C8—61no—
445C5×C8—61no—
446C22×D4—151no—
447C2×SD16—51no—
448C2×SD16—151no—
449C2×D8—51no—
450C2×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—51no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—51no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—31no—
468#117—151no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—31no—
476C4⋊C8D3×D511yescharacteristic, complemented
477#103—51no—
478#103—151no—
479#102—51no—
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#52511yescharacteristic
490C2×C3×C5#57611yescharacteristic
491C2×C3×C5#57711yescharacteristic
492D15—42no—
493C3×D5—42no—
494C3×D5—81no—
495C5×D3—41no—
496C23×C3—101no—
497C23×C3—101no—
498C22×D3—104no—
499C22×D3—101no—
500C22×D3—401no—
501C22×D3—401no—
502C22×D3C2×D2011yescharacteristic
503C3×Q8—101no—
504C3×Q8—101no—
505C3×D4—52no—
506C3×D4—101no—
507C3×D4—101no—
508C3×D4—101no—
509C2×C3×C4—101no—
510C2×C3×C4—101no—
511C2×C3×C4—401no—
512C2×C3×C4C2×D2011yescharacteristic
513C2×C3×C4C2×D2011yescharacteristic
514C2×C3×C4C23×D511yescharacteristic
515#67—104no—
516#67—401no—
517C2×Dic3—101no—
518C2×Dic3—101no—
519C2×Dic3—101no—
520C2×Dic3—401no—
521C2×Dic3—401no—
522C2×Dic3C2×D2011yescharacteristic
523C2×Dic3C2×D2011yescharacteristic
524C2×Dic3C2×D2011yescharacteristic
525D12—52no—
526D12—101no—
527C4×D3—21no—
528C4×D3—21no—
529C4×D3—401no—
530C4×D3—401no—
531Dic6—401no—
532C3×C8—21no—
533C3×C8—21no—
534C3⋊C8—21no—
535C3⋊C8—21no—
536C22×C5—61no—
537C22×C5—61no—
538C22×C5—61no—
539C22×C5C2×D3×D411yescharacteristic
540C2×D5—22no—
541C2×D5—41no—
542C2×D5—41no—
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—61no—
553C4×C5—61no—
554C4×C5—61no—
555C4×C5C2×#23711yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—41no—
558Dic5—41no—
559Dic5—121no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—51no—
564C2×Q8—301no—
565C2×D4—51no—
566C2×D4—51no—
567C2×D4—151no—
568C2×D4—301no—
569C2×D4—302no—
570C2×D4—302no—
571C2×D4—301no—
572C22×C4—31no—
573C22×C4—101no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578SD16—102no—
579SD16—302no—
580D8—102no—
581D8—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8C2×D3×D511yescharacteristic
585C2×C8C2×D3×D511yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—51no—
589C4⋊C4—151no—
590C4⋊C4—151no—
591C4⋊C4—151no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C22⋊C4—31no—
596C22⋊C4—31no—
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—301no—
606C22⋊C4—301no—
607C42—31no—
608C42—301no—
609C42—301no—
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—102no—
613C22×C3—201no—
614C22×C3—201no—
615C22×C3—201no—
616C22×C3—201no—
617C22×C3—201no—
618C22×C3C22×D2011yescharacteristic
619C2×D3—21no—
620C2×D3—21no—
621C2×D3—21no—
622C2×D3—102no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—201no—
629C3×C4—201no—
630C3×C4D5×#4111yescharacteristic
631C3×C4D5×#4111yescharacteristic
632Dic3—21no—
633Dic3—21no—
634Dic3—21no—
635Dic3—201no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—121no—
639C2×C5#560611yescharacteristic
640C2×C5#577011yescharacteristic
641C2×C5#577411yescharacteristic
642D5—42no—
643D5—81no—
644D5—122no—
645C23—31no—
646C23—101no—
647C23—101no—
648C23—304no—
649C23—301no—
650C23—1201no—
651C23—1201no—
652Q8—101no—
653Q8—101no—
654Q8—1201no—
655D4—52no—
656D4—101no—
657D4—101no—
658D4—101no—
659D4—152no—
660D4—304no—
661D4—301no—
662D4—1201no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—101no—
669C2×C4—101no—
670C2×C4—301no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—401no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4D3×D2011yescharacteristic
679C2×C4D3×D2011yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—21no—
682C8—21no—
683C8—61no—
684C8—61no—
685C2×C3—202no—
686C2×C3—401no—
687C2×C3#6585811yescharacteristic
688C2×C3#6608511yescharacteristic
689C2×C3#6608611yescharacteristic
690D3—41no—
691D3—202no—
692C5#8050911yescharacteristic, complemented, Sylow
693C22—61no—
694C22—61no—
695C22—61no—
696C22—102no—
697C22—201no—
698C22—201no—
699C22—201no—
700C22—201no—
701C22—201no—
702C22—302no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D3×D2011yescharacteristic
707C4—21no—
708C4—21no—
709C4—61no—
710C4—61no—
711C4—61no—
712C4—201no—
713C4—201no—
714C4—601no—
715C4—601no—
716C4—601no—
717C4D5×#23711yescharacteristic
718C4#9203411yescharacteristic
719C3#1061111411yescharacteristic, complemented, Sylow
720C2—121no—
721C2—202no—
722C2—401no—
723C2—602no—
724C2#1175387911yescharacteristic
725C2#1175397211yescharacteristic
726C2#1175403111yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C4⋊C8C22
socleC22×C3×C5C22×D4
prime radical#11748112C2
hypercenterC4⋊C8D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #11752727C2semidirect
2. #11752658C2semidirect
3. #11750943C2semidirect
4. C5×#4840C2semidirect
5. C3×#65133C2semidirect
7. #11748110C2semidirect
8. #11747922C2semidirect
9. #11747799C2semidirect
10. Dic3×#677C2semidirect
11. #11747743C2semidirect
12. #11747740C2semidirect
13. #11747680C2semidirect
14. #11747044C2semidirect
15. #11746889C2semidirect
19. #91758C22semidirect
23. C3×#4021C22semidirect
33. Dic3×D20C22semidirect
39. Dic3×Dic10C22semidirect
42. C3×C5×C4⋊C8C22semidirect
45. #91101C22semidirect
46. #91101C22semidirect
49. C5×#815C22semidirect
50. C5×C8×Dic3C22semidirect
51. C5×C4⋊(C3⋊C8)C22semidirect
52. C3×#3953C22semidirect
53. C3×#3948C22semidirect
54. #90990C22semidirect
55. #90990C22semidirect
56. #90971C22semidirect
59. #90965C22semidirect
66. #65133D3semidirect
135. #4840D5semidirect
157. #4021C2×D3semidirect
166. C5×C4⋊C8C2×D3semidirect
176. #3953C2×D3semidirect
182. #3948C2×D3semidirect
249. C3×C4⋊C8C2×D5semidirect
262. #815C2×D5semidirect
263. C8×Dic3C2×D5semidirect
266. C4⋊(C3⋊C8)C2×D5semidirect
476. C4⋊C8D3×D5semidirect
611. C3×C5#3118semidirect
692. C5#80509semidirect
719. C3#10611114semidirect

Maximal subgroups

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

subgroupindex
#117527272
#117526582
#117509432
C5×#48402
C3×#651332
#117481122
#117481102
#117479222
#117477992
Dic3×#6772
#117477432
#117477402
#117476802
#117470442
#117468892
#106111143
#805095