Finite Group Databasebeta

← #14435615

Subgroups — #14435615

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#11754489C211yesmaximal, characteristic, complemented
2#11754488C211yesmaximal, characteristic, complemented
3#11750824C211yesmaximal, characteristic, complemented
4C5×#4720C211yesmaximal, characteristic, complemented
5C3×#65021C211yesmaximal, characteristic
6#11748530C211yesmaximal, characteristic, complemented
7#11748376C211yesmaximal, characteristic, complemented
8#11747799C211yesmaximal, characteristic, complemented
9Dic3×D40C211yesmaximal, characteristic, complemented
10#11747782C211yesmaximal, characteristic, complemented
11#11747781C211yesmaximal, characteristic, complemented
12#11747756C211yesmaximal, characteristic, complemented
13#11747756C211yesmaximal, characteristic, complemented
14#11747742C211yesmaximal, characteristic, complemented
15#11747739C211yesmaximal, characteristic, complemented
16#10611114—31nomaximal, Hall
17C22×C3×D20C2211yescharacteristic
18#91815C2211yescharacteristic
19#91813C2211yescharacteristic
20C5×#926C2211yescharacteristic
21C3×#4076C2211yescharacteristic
22C2×C3×D40C2211yescharacteristic
23C2×C3×D40C2211yescharacteristic
24#91548—21no—
25D5×#217—21no—
26D5×#217—21no—
27#91534—21no—
28#91469C2211yescharacteristic, complemented
29#91434—21no—
30#91434—21no—
31#91430—21no—
32Dic3×D20C2211yescharacteristic
33Dic3×D20C2211yescharacteristic
34Dic3×D20C2211yescharacteristic
35Dic3×D20C2211yescharacteristic
36Dic3×D20C2211yescharacteristic, complemented
37#91364C2211yescharacteristic, complemented
38#91361—21no—
39#91340C2211yescharacteristic, complemented
40C2×#6657C2211yescharacteristic
41C2×#6657C2211yescharacteristic
42C3×C5×C22⋊C8C2211yescharacteristic
43#91102C2211yescharacteristic, complemented
44#91101C2211yescharacteristic, complemented
45#91100C2211yescharacteristic, complemented
46#91100C2211yescharacteristic, complemented
47C5×#830C2211yescharacteristic
48C5×#815C2211yescharacteristic, complemented
49C5×Dic3⋊C8C2211yescharacteristic, complemented
50C5×Dic3⋊C8C2211yescharacteristic, complemented
51C5×C8×Dic3C2211yescharacteristic, complemented
52C3×#3953C2211yescharacteristic
53C3×#3953C2211yescharacteristic
54#90990C2211yescharacteristic, complemented
55#90987C2211yescharacteristic, complemented
56#90965C2211yescharacteristic
57#90965C2211yescharacteristic
58#90965C2211yescharacteristic, complemented
59#90965C2211yescharacteristic, complemented
60#79992—51nomaximal, Hall
61#65868—31no—
62#65855—31no—
63C5×#433—31no—
64#65135—31no—
65#65133—31no—
66#65133—31no—
67#65131—31no—
68#65026—31no—
69#65021D311yescharacteristic
70#65020—31no—
71#65012—31no—
72#65000—31no—
73#64999—31no—
74C4×D40—31no—
75C4×#677—31no—
76C23×C3×D5—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C3×C22⋊D5—21no—
80C2×C3×D20—21no—
81C2×C3×D20—22no—
82C2×C3×D20—22no—
83C2×C3×D20C2311yescharacteristic
84C2×C3×D20C2311yescharacteristic
85C2×C3×D20C2311yescharacteristic
86C2×#1204—21no—
87C2×D5×Dic3—21no—
88C2×D5×Dic3—21no—
89C2×D5×Dic3—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94#6719—21no—
95#6719—21no—
96C4⋊Dic15C2311yescharacteristic
97C4⋊Dic15C2311yescharacteristic
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15—21no—
101C5×#217D411yescharacteristic
102C5×#217D411yescharacteristic
103C5×C4⋊Dic3D411yescharacteristic
104C5×C4⋊Dic3D411yescharacteristic
105C4×C5×Dic3C2311yescharacteristic
106C4×C5×Dic3C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C2×C5×C3⋊C8C2311yescharacteristic
109C3×#685—21no—
110C3×C4⋊Dic5C2311yescharacteristic
111C3×D40—22no—
112C3×D40—22no—
113Dic3⋊Dic5—21no—
114#6669—21no—
115#6665—21no—
116#6665—21no—
117#6665—21no—
118#6665—21no—
119#6665—21no—
120#6665—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123#6657—22no—
124#6657—22no—
125#5798—51no—
126#5603—51no—
127C3×#447—51no—
128#5218—51no—
129#5153—51no—
130#5153—51no—
131#5152—51no—
132Dic3×D8—51no—
133#5035—51no—
134#4761—51no—
135#4759—51no—
136#4758—51no—
137#4757—51no—
138#4723—51no—
139#4720D511yescharacteristic, complemented
140C22×D20C2×D311yescharacteristic
141C5×#117—31no—
142#4076C2×D311yescharacteristic
143#4072—31no—
144#4070—31no—
145C2×D40C2×D311yescharacteristic
146C2×D40C2×D311yescharacteristic
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⋊C8—31no—
166C5×C4⋊C8—31no—
167C5×C22⋊C8—31no—
168C5×C22⋊C8C2×D311yescharacteristic
169C5×#97—31no—
170C4×C5×C8—31no—
171#3953—31no—
172#3953—31no—
173#3953—31no—
174#3953—31no—
175#3953C2×D311yescharacteristic
176#3953C2×D311yescharacteristic
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×C3×D5—21no—
186C22×C3×D5—21no—
187C22×C3×D5—24no—
188C22×C3×D5—21no—
189C22×C3×D5—81no—
190C22×C3×D5—81no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5—21no—
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2411yescharacteristic
195C2×Dic15—21no—
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15—21no—
199Dic30—21no—
200Dic30—21no—
201C2×C5×Dic3C2×D411yescharacteristic
202C2×C5×Dic3C2×D411yescharacteristic
203C2×C5×Dic3C2×D411yescharacteristic
204C2×C5×Dic3C2×D411yescharacteristic
205C3×C22⋊D5—81no—
206C2×C3×Dic5—21no—
207C3×D20—24no—
208C3×D20—21no—
209C3×D20—21no—
210C3×D20—21no—
211C3×D20—21no—
212C3×D20#4112yes—
213C3×D20#4112yes—
214#1204—81no—
215D5×Dic3—81no—
216D5×Dic3—81no—
217D5×Dic3—81no—
218D5×Dic3—81no—
219D5×Dic3—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C5×C3⋊C8—21no—
223C5×C3⋊C8—21no—
224C22×C3×D4—51no—
225C2×C3×D8—51no—
226C2×C3×D8—51no—
227C3×#121—51no—
228C2×#217—101no—
229C2×#217—101no—
230#936—51no—
231#936—101no—
232#935—101no—
233D4×Dic3—51no—
234D4×Dic3—51no—
235D4×Dic3—51no—
236D4×Dic3—51no—
237D4×Dic3—51no—
238D4×Dic3—101no—
239D4×Dic3—101no—
240C2×#214—51no—
241C2×#214—51no—
242#926—51no—
243#926C2×D511yescharacteristic
244#924—51no—
245#888—51no—
246#887—51no—
247#879—101no—
248#878—101no—
249C3×#102—51no—
250C3×#102—51no—
251C3×C22⋊C8C2×D511yescharacteristic
252#832—51no—
253#832—51no—
254#832—51no—
255#832—51no—
256#830C2×D511yescharacteristic
257#818—51no—
258#817—51no—
259#816—51no—
260#816—51no—
261#815C2×D511yescharacteristic, complemented
262Dic3⋊C8C2×D511yescharacteristic, complemented
263Dic3⋊C8C2×D511yescharacteristic, complemented
264C8×Dic3C2×D511yescharacteristic, complemented
265#808—51no—
266#807—51no—
267C23×D5—21no—
268C22×C4×C5C22×D311yescharacteristic
269C2×C22⋊D5—21no—
270C2×D20—21no—
271C2×D20—22no—
272C2×D20—22no—
273C2×D20C22×D311yescharacteristic
274C2×D20C22×D311yescharacteristic
275C2×D20C22×D311yescharacteristic
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×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×C5—31no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295#685—21no—
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—61no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—61no—
309#683—61no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312D40—22no—
313D40—22no—
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—51no—
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×C3×D5—22no—
336C2×C3×D5—22no—
337C2×C3×D5—41no—
338C2×C3×D5—41no—
339C2×C3×D5—41no—
340C2×C3×D5—41no—
341C2×C3×D5—41no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344C2×C3×D5—84no—
345C3×C4×C5—21no—
346C3×C4×C5C2×#4111yescharacteristic
347C3×C4×C5C2×#4111yescharacteristic
348Dic15—41no—
349Dic15—41no—
350Dic15—41no—
351Dic15—41no—
352C3×Dic5—41no—
353C5×Dic3—21no—
354C5×Dic3—21no—
355C5×Dic3—21no—
356C5×Dic3—21no—
357C24×C3—101no—
358C2×C3×D4—51no—
359C2×C3×D4—51no—
360C2×C3×D4—51no—
361C2×C3×D4—102no—
362C2×C3×D4—102no—
363C2×C3×D4—101no—
364C2×C3×D4—101no—
365C22×C3×C4C22×D511yescharacteristic
366C22×Dic3—101no—
367C22×Dic3—101no—
368C22×Dic3—101no—
369C22×Dic3—101no—
370C22×Dic3—101no—
371C2×Dic6—51no—
372C2×Dic6—101no—
373C3×D8—102no—
374C3×D8—102no—
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4—51no—
378C3×C22⋊C4—101no—
379#217—101no—
380#217—101no—
381#217—101no—
382#217—101no—
383#217—101no—
384#217—101no—
385#217—101no—
386#217—101no—
387#217—101no—
388#217D2011yescharacteristic
389#217D2011yescharacteristic
390#214—102no—
391#214—102no—
392C4⋊Dic3—51no—
393C4⋊Dic3—51no—
394C4⋊Dic3—51no—
395C4⋊Dic3D2011yescharacteristic
396C4⋊Dic3D2011yescharacteristic
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—101no—
401C4×Dic3—101no—
402C4×Dic3C22×D511yescharacteristic
403C4×Dic3C22×D511yescharacteristic
404C2×C3⋊C8C22×D511yescharacteristic
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5D3×D411yescharacteristic
407C22×D5—21no—
408C22×D5—21no—
409C22×D5—24no—
410C22×D5—21no—
411C22×D5—81no—
412C22×D5—81no—
413C2×C4×C5—21no—
414C2×C4×C5—21no—
415C2×C4×C5—31no—
416C2×C4×C5—31no—
417C2×C4×C5—31no—
418C2×C4×C5—31no—
419C2×C4×C5D3×D411yescharacteristic
420C2×C4×C5C23×D311yescharacteristic
421C22⋊D5—81no—
422C2×Dic5—21no—
423C2×Dic5—61no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5—61no—
427D20—24no—
428D20—21no—
429D20—21no—
430D20—21no—
431D20—21no—
432D20#23712yes—
433D20#23712yes—
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—61no—
445C5×C8—61no—
446C22×D4—51no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—51no—
450C2×D8—51no—
451C4⋊Q8—151no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—51no—
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—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⋊C8—31no—
477#103—151no—
478#103—151no—
479#102—51no—
480#102—51no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—31no—
486C22⋊C8D3×D511yescharacteristic
487#97—31no—
488C4×C8—31no—
489C2×C3×C5—41no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493C3×D5—42no—
494C3×D5—42no—
495C3×D5—81no—
496C23×C3—104no—
497C23×C3—101no—
498C23×C3—101no—
499C23×C3—101no—
500C23×C3—401no—
501C23×C3—401no—
502C23×C3C2×D2011yescharacteristic
503C3×D4—52no—
504C3×D4—52no—
505C3×D4—104no—
506C3×D4—101no—
507C3×D4—101no—
508C3×D4—101no—
509C3×D4—101no—
510C3×D4—401no—
511C2×C3×C4—21no—
512C2×C3×C4—21no—
513C2×C3×C4—101no—
514C2×C3×C4C2×D2011yescharacteristic
515C2×C3×C4C23×D511yescharacteristic
516C2×Dic3—101no—
517C2×Dic3—101no—
518C2×Dic3—101no—
519C2×Dic3—101no—
520C2×Dic3—401no—
521C2×Dic3—401no—
522C2×Dic3—401no—
523C2×Dic3—401no—
524C2×Dic3—401no—
525C2×Dic3C2×D2011yescharacteristic
526C2×Dic3C2×D2011yescharacteristic
527C2×Dic3C2×D2011yescharacteristic
528C2×Dic3C2×D2011yescharacteristic
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×C5C2×D3×D411yescharacteristic
540C2×D5—22no—
541C2×D5—22no—
542C2×D5—41no—
543C2×D5—41no—
544C2×D5—41no—
545C2×D5—41no—
546C2×D5—41no—
547C2×D5—41no—
548C2×D5—41no—
549C2×D5—84no—
550C4×C5—21no—
551C4×C5—61no—
552C4×C5—61no—
553C4×C5—61no—
554C4×C5—61no—
555C4×C5C2×#23711yescharacteristic
556C4×C5C2×#23711yescharacteristic
557Dic5—41no—
558Dic5—121no—
559Dic5—121no—
560Dic5—121no—
561Dic5—121no—
562C24—101no—
563C2×Q8—151no—
564C2×Q8—301no—
565C2×D4—51no—
566C2×D4—51no—
567C2×D4—51no—
568C2×D4—102no—
569C2×D4—102no—
570C2×D4—101no—
571C2×D4—101no—
572C22×C4—301no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C2×D3×D511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—102no—
581D8—102no—
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—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—31no—
608C42—31no—
609C42—301no—
610C42—301no—
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—102no—
616C22×C3—102no—
617C22×C3—201no—
618C22×C3—201no—
619C22×C3—201no—
620C22×C3—201no—
621C22×C3—201no—
622C22×C3—201no—
623C22×C3—201no—
624C22×C3—404no—
625C22×C3C22×D2011yescharacteristic
626C3×C4—21no—
627C3×C4—201no—
628C3×C4D5×#4111yescharacteristic
629C3×C4D5×#4111yescharacteristic
630Dic3—21no—
631Dic3—21no—
632Dic3—21no—
633Dic3—21no—
634Dic3—201no—
635Dic3—201no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5#558611yescharacteristic
640C2×C5#575711yescharacteristic
641C2×C5#577511yescharacteristic
642D5—42no—
643D5—42no—
644D5—81no—
645C23—104no—
646C23—101no—
647C23—101no—
648C23—101no—
649C23—401no—
650C23—401no—
651C23D3×D2011yescharacteristic
652Q8—301no—
653Q8—301no—
654Q8—1201no—
655D4—52no—
656D4—52no—
657D4—104no—
658D4—101no—
659D4—101no—
660D4—101no—
661D4—101no—
662D4—401no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—101no—
670C2×C4—301no—
671C2×C4—301no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D3×D2011yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—21no—
682C8—21no—
683C8—61no—
684C8—61no—
685C2×C3—41no—
686C2×C3—202no—
687C2×C3—202no—
688C2×C3—401no—
689C2×C3#6585811yescharacteristic
690C2×C3#6608511yescharacteristic
691C2×C3#6608611yescharacteristic
692C5#7999211yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—102no—
697C22—102no—
698C22—201no—
699C22—201no—
700C22—201no—
701C22—201no—
702C22—201no—
703C22—201no—
704C22—201no—
705C22—404no—
706C22C2×D3×D2011yescharacteristic
707C4—21no—
708C4—61no—
709C4—61no—
710C4—61no—
711C4—61no—
712C4—201no—
713C4—601no—
714C4—601no—
715C4—601no—
716C4—601no—
717C4D5×#23711yescharacteristic
718C4D5×#23711yescharacteristic
719C3#1061111411yescharacteristic, complemented, Sylow
720C2—41no—
721C2—202no—
722C2—202no—
723C2—401no—
724C2#1175287511yescharacteristic
725C2#1175397111yescharacteristic
726C2#1175403011yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C22⋊C8C22
socleC22×C3×C5C22×D4
prime radicalC3×#65021C2
hypercenterC22⋊C8D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
1. #11754489C2semidirect
2. #11754488C2semidirect
3. #11750824C2semidirect
4. C5×#4720C2semidirect
6. #11748530C2semidirect
7. #11748376C2semidirect
8. #11747799C2semidirect
9. Dic3×D40C2semidirect
10. #11747782C2semidirect
11. #11747781C2semidirect
12. #11747756C2semidirect
13. #11747756C2semidirect
14. #11747742C2semidirect
15. #11747739C2semidirect
28. #91469C22semidirect
36. Dic3×D20C22semidirect
37. #91364C22semidirect
39. #91340C22semidirect
43. #91102C22semidirect
44. #91101C22semidirect
45. #91100C22semidirect
46. #91100C22semidirect
48. C5×#815C22semidirect
49. C5×Dic3⋊C8C22semidirect
50. C5×Dic3⋊C8C22semidirect
51. C5×C8×Dic3C22semidirect
54. #90990C22semidirect
55. #90987C22semidirect
58. #90965C22semidirect
59. #90965C22semidirect
139. #4720D5semidirect
261. #815C2×D5semidirect
262. Dic3⋊C8C2×D5semidirect
263. Dic3⋊C8C2×D5semidirect
264. C8×Dic3C2×D5semidirect
611. C3×C5#3118semidirect
692. C5#79992semidirect
719. C3#10611114semidirect

Maximal subgroups

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

subgroupindex
#117544892
#117544882
#117508242
C5×#47202
C3×#650212
#117485302
#117483762
#117477992
Dic3×D402
#117477822
#117477812
#117477562
#117477422
#117477392
#106111143
#799925