Finite Group Databasebeta

← #14435630

Subgroups — #14435630

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#11754515C211yesmaximal, characteristic, complemented
2#11754504C211yesmaximal, characteristic, complemented
3#11750832C211yesmaximal, characteristic, complemented
4C5×#4737C211yesmaximal, characteristic, complemented
5C3×#65009C211yesmaximal, characteristic, complemented
6#11748525C211yesmaximal, characteristic
7#11748463C211yesmaximal, characteristic, complemented
8#11747779C211yesmaximal, characteristic, complemented
9#11747779C211yesmaximal, characteristic, complemented
10#11747778C211yesmaximal, characteristic, complemented
11#11747767C211yesmaximal, characteristic, complemented
12#11747762C211yesmaximal, characteristic, complemented
13#11747760C211yesmaximal, characteristic, complemented
14#11747746C211yesmaximal, characteristic, complemented
15#11747745C211yesmaximal, characteristic, complemented
16#10613083—31nomaximal, Hall
17C22×D60C2211yescharacteristic
18#91813C2211yescharacteristic
19C2×#6706C2211yescharacteristic
20C2×#6706C2211yescharacteristic
21C5×#930C2211yescharacteristic
22C5×#926C2211yescharacteristic
23C3×#4072C2211yescharacteristic
24#91561—21no—
25#91561—21no—
26#91555—21no—
27#91525—21no—
28#91468C2211yescharacteristic, complemented
29#91436—21no—
30#91428—21no—
31#91428—21no—
32#91418C2211yescharacteristic
33#91418C2211yescharacteristic
34#91418C2211yescharacteristic
35#91418C2211yescharacteristic
36Dic5×D12C2211yescharacteristic, complemented
37#91373C2211yescharacteristic, complemented
38#91341—21no—
39#91333C2211yescharacteristic, complemented
40C2×#6654C2211yescharacteristic
41C2×#6654C2211yescharacteristic
42C3×C5×C22⋊C8C2211yescharacteristic
43#91105C2211yescharacteristic
44#91105C2211yescharacteristic
45C5×#821C2211yescharacteristic, complemented
46C5×#821C2211yescharacteristic, complemented
47C5×#818C2211yescharacteristic, complemented
48C5×#817C2211yescharacteristic, complemented
49C3×C22⋊#168C2211yescharacteristic
50C3×#3947C2211yescharacteristic, complemented
51C3×#3946C2211yescharacteristic, complemented
52C3×#3946C2211yescharacteristic, complemented
53C3×C8×Dic5C2211yescharacteristic, complemented
54#90988C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90975C2211yescharacteristic, complemented
57#90975C2211yescharacteristic, complemented
58#90969C2211yescharacteristic
59#90969C2211yescharacteristic
60#79383—51nomaximal, Hall
61#65937—31no—
62#65855—31no—
63C5×#482—31no—
64#65325—31no—
65#65285—31no—
66#65179—31no—
67#65178—31no—
68#65159—31no—
69#65141—31no—
70#65076—31no—
71#65076—31no—
72#65074—31no—
73#65045—31no—
74#65020—31no—
75#65009D311yescharacteristic, complemented
76C23×D15—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×D60—21no—
79C2×D60—22no—
80C2×D60—22no—
81C2×D60C2311yescharacteristic
82C2×D60C2311yescharacteristic
83C2×Dic30C2311yescharacteristic
84C2×C5×#67—21no—
85C2×C5×D12C2311yescharacteristic
86C2×#1204—21no—
87C2×#1200—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×#1200—21no—
91C2×D3×Dic5—21no—
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94#6719—21no—
95C4⋊Dic15C2311yescharacteristic
96#6712—21no—
97#6706—22no—
98#6706—22no—
99C5×#217—21no—
100C5×(C2×D3)⋊C4—21no—
101C5×C4⋊Dic3C2311yescharacteristic
102C5×C4⋊Dic3C2311yescharacteristic
103C5×C4⋊Dic3C2311yescharacteristic
104C4×C5×Dic3—21no—
105C3×C22⋊Dic5D411yescharacteristic
106C3×C22⋊Dic5D411yescharacteristic
107C3×C4⋊Dic5D411yescharacteristic
108C3×C4⋊Dic5D411yescharacteristic
109C3×C4×Dic5C2311yescharacteristic
110C3×C4×Dic5C2311yescharacteristic
111C2×C3×#168C2311yescharacteristic
112C2×C3×#168C2311yescharacteristic
113#6669—21no—
114#6668—21no—
115#6667—21no—
116#6667—21no—
117#6667—21no—
118#6667—21no—
119(C2×D3)⋊Dic5—21no—
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122Dic3×Dic5—21no—
123#6654—22no—
124#6654—22no—
125#5534—51no—
126#5521—51no—
127C3×#433—51no—
128#4846—51no—
129#4844—51no—
130#4844—51no—
131#4842—51no—
132#4737D511yescharacteristic, complemented
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×#121—31no—
142C5×#117—31no—
143#4082—31no—
144#4082—61no—
145#4081—61no—
146D4×Dic5—31no—
147C2×#686—31no—
148C2×#686—31no—
149#4072C2×D311yescharacteristic
150#4070—31no—
151C2×#677—31no—
152C2×#677—31no—
153#4039—31no—
154#4039—31no—
155#4039—31no—
156#4039—31no—
157#4034—31no—
158#4033—31no—
159D5×C22⋊C4—61no—
160D5×C22⋊C4—61no—
161#4025—61no—
162#4024—61no—
163C4×D20—61no—
164C4×D20—61no—
165C5×#107—31no—
166C5×#106—31no—
167C5×#102—31no—
168C5×#102—31no—
169C5×C22⋊C8C2×D311yescharacteristic
170C22⋊#168C2×D311yescharacteristic
171#3953—31no—
172#3953—31no—
173#3947C2×D311yescharacteristic, complemented
174#3946C2×D311yescharacteristic, complemented
175#3946C2×D311yescharacteristic, complemented
176C8×Dic5C2×D311yescharacteristic, complemented
177#3942—31no—
178#3942—31no—
179#3941—31no—
180#3941—31no—
181#3940—31no—
182#3939—31no—
183#3118—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×D15—21no—
186C22×D15—21no—
187C22×D15—24no—
188C22×D15—81no—
189C22×D15—81no—
190C22×C5×D3—21no—
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—
197D60—24no—
198D60—21no—
199D60—21no—
200D60#4112yes—
201D60#4112yes—
202Dic30—21no—
203Dic30—21no—
204C5×#67—81no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—21no—
207C2×C5×Dic3—21no—
208C5×D12—21no—
209C5×D12—21no—
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C2×C3×Dic5C2×D411yescharacteristic
213C2×C3×Dic5C2×D411yescharacteristic
214#1204—81no—
215#1200—81no—
216#1200—81no—
217#1200—81no—
218#1200—81no—
219D3×Dic5—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3×#168—21no—
223C3×#168—21no—
224C22×D12—51no—
225C3×#117—51no—
226#930C2×D511yescharacteristic
227#926C2×D511yescharacteristic
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⋊C8—51no—
250C3×C4⋊C8—51no—
251C3×C22⋊C8—51no—
252C3×C22⋊C8C2×D511yescharacteristic
253C3×#97—51no—
254C3×C4×C8—51no—
255#821—51no—
256#821—51no—
257#821—51no—
258#821—51no—
259#821C2×D511yescharacteristic, complemented
260#821C2×D511yescharacteristic, complemented
261#818—51no—
262#818C2×D511yescharacteristic, complemented
263#817—51no—
264#817C2×D511yescharacteristic, complemented
265#816—51no—
266#816—51no—
267C23×D5—61no—
268C2×C5×D4—31no—
269C2×C5×D4—61no—
270C22×C4×C5C22×D311yescharacteristic
271C22×Dic5—61no—
272C2×D20—31no—
273C2×D20—31no—
274C2×D20—62no—
275C2×D20—62no—
276C2×D20—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
285C5×C4⋊C4—31no—
286C5×C4⋊C4—31no—
287C5×C4⋊C4—31no—
288C5×C22⋊C4—61no—
289C5×C22⋊C4—61no—
290C42×C5—61no—
291C22⋊Dic5—61no—
292C22⋊Dic5—61no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295C22⋊Dic5D1211yescharacteristic
296C22⋊Dic5D1211yescharacteristic
297#686—62no—
298#686—62no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5D1211yescharacteristic
305C4⋊Dic5D1211yescharacteristic
306#683—61no—
307#683—61no—
308#683—61no—
309C4×Dic5—61no—
310C4×Dic5C22×D311yescharacteristic
311C4×Dic5C22×D311yescharacteristic
312C2×#168C22×D311yescharacteristic
313C2×#168C22×D311yescharacteristic
314#677—62no—
315#677—62no—
316#542—151no—
317#518—151no—
318#485—151no—
319#482—31no—
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—51no—
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×C5×D3—41no—
343C2×C5×D3—41no—
344C2×C5×D3—41no—
345C3×C4×C5—21no—
346C3×C4×C5C2×#4111yescharacteristic
347C3×C4×C5C2×#4111yescharacteristic
348Dic15—41no—
349Dic15—41no—
350C3×Dic5—21no—
351C3×Dic5—21no—
352C3×Dic5—21no—
353C3×Dic5—21no—
354C5×Dic3—41no—
355C5×Dic3—41no—
356C5×Dic3—41no—
357C23×D3—101no—
358C22×C3×C4C22×D511yescharacteristic
359C2×#67—21no—
360C2×D12—51no—
361C2×D12—51no—
362C2×D12—102no—
363C2×D12—102no—
364C2×D12—101no—
365C2×D12C22×D511yescharacteristic
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×C8—51no—
374C2×C3×C8—51no—
375C2×C3×C8C22×D511yescharacteristic
376C2×C3×C8C22×D511yescharacteristic
377C3×C4⋊C4—51no—
378C3×C4⋊C4—51no—
379C3×C22⋊C4—51no—
380C3×C22⋊C4—51no—
381C3×C42—51no—
382C3×C42—51no—
383#217—21no—
384#217—101no—
385(C2×D3)⋊C4—21no—
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—101no—
395C4⋊Dic3C22×D511yescharacteristic
396C4⋊Dic3C22×D511yescharacteristic
397C4⋊Dic3C22×D511yescharacteristic
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—21no—
401C4×Dic3—101no—
402D24—102no—
403D24—102no—
404#204—102no—
405#204—102no—
406C23×C5—61no—
407C23×C5C2×D1211yescharacteristic
408C22×D5—61no—
409C22×D5—61no—
410C22×D5—64no—
411C22×D5—241no—
412C22×D5—241no—
413C5×D4—61no—
414C5×D4—61no—
415C5×D4—241no—
416C2×C4×C5—21no—
417C2×C4×C5—21no—
418C2×C4×C5—61no—
419C2×C4×C5—61no—
420C2×C4×C5—61no—
421C2×C4×C5C2×D1211yescharacteristic
422C2×C4×C5C23×D311yescharacteristic
423C2×Dic5—61no—
424C2×Dic5—61no—
425C2×Dic5—241no—
426C2×Dic5C2×D1211yescharacteristic
427C2×Dic5C2×D1211yescharacteristic
428C2×Dic5C2×D1211yescharacteristic
429C2×Dic5C2×D1211yescharacteristic
430D20—32no—
431D20—32no—
432D20—64no—
433D20—61no—
434D20—61no—
435C4×D5—241no—
436C4×D5—241no—
437C4×D5—241no—
438C4×D5—241no—
439Dic10—61no—
440Dic10—61no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444#168—21no—
445#168—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—31no—
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—51no—
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—31no—
472#107—151no—
473#106—31no—
474#106—151no—
475C4⋊C8—51no—
476C4⋊C8—51no—
477#103—151no—
478#103—151no—
479#102—31no—
480#102—31no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—51no—
486C22⋊C8D3×D511yescharacteristic
487#97—51no—
488C4×C8—51no—
489C2×C3×C5—41no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—42no—
494D15—42no—
495C5×D3—81no—
496C23×C3D4×D511yescharacteristic
497C22×D3—21no—
498C22×D3—101no—
499C22×D3—101no—
500C22×D3—104no—
501C22×D3—401no—
502C22×D3—401no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—51no—
506C2×C3×C4—51no—
507C2×C3×C4—51no—
508C2×C3×C4—51no—
509C2×C3×C4D4×D511yescharacteristic
510C2×C3×C4C23×D511yescharacteristic
511#67—81no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—101no—
516C2×Dic3—101no—
517D12—21no—
518D12—21no—
519D12—52no—
520D12—52no—
521D12—104no—
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—101no—
535C3×C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—121no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5C22×D1211yescharacteristic
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—121no—
552C4×C5—121no—
553C4×C5—121no—
554C4×C5D3×#4111yescharacteristic
555C4×C5D3×#4111yescharacteristic
556Dic5—21no—
557Dic5—21no—
558Dic5—21no—
559Dic5—21no—
560Dic5—121no—
561Dic5—121no—
562C24—301no—
563C2×Q8—151no—
564C2×Q8—301no—
565C2×D4—31no—
566C2×D4—61no—
567C2×D4—151no—
568C2×D4—151no—
569C2×D4—302no—
570C2×D4—302no—
571C2×D4—301no—
572C22×C4—301no—
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—51no—
583C2×C8—51no—
584C2×C8C2×D3×D511yescharacteristic
585C2×C8C2×D3×D511yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—51no—
591C4⋊C4—151no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C22⋊C4—51no—
596C22⋊C4—51no—
597C22⋊C4—61no—
598C22⋊C4—61no—
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—51no—
608C42—51no—
609C42—61no—
610C42—301no—
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3C2×D4×D511yescharacteristic
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
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—101no—
628C3×C4—101no—
629C3×C4—101no—
630C3×C4—101no—
631C3×C4D5×#4111yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—41no—
634Dic3—41no—
635Dic3—41no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5—241no—
640C2×C5#552411yescharacteristic
641C2×C5#575111yescharacteristic
642C2×C5#575211yescharacteristic
643D5—122no—
644D5—122no—
645C23—61no—
646C23—304no—
647C23—301no—
648C23—301no—
649C23—1201no—
650C23—1201no—
651C23D5×D1211yescharacteristic
652Q8—301no—
653Q8—301no—
654Q8—1201no—
655D4—61no—
656D4—61no—
657D4—152no—
658D4—152no—
659D4—241no—
660D4—304no—
661D4—301no—
662D4—301no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—51no—
666C2×C4—51no—
667C2×C4—51no—
668C2×C4—51no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D5×D1211yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—21no—
682C8—21no—
683C8—101no—
684C8—101no—
685C2×C3—41no—
686C2×C3#6599011yescharacteristic
687C2×C3#6610411yescharacteristic
688C2×C3#6610811yescharacteristic
689D3—81no—
690D3—202no—
691D3—202no—
692C5#7938311yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—121no—
697C22—121no—
698C22—121no—
699C22—302no—
700C22—302no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D5×D1211yescharacteristic
707C4—21no—
708C4—101no—
709C4—101no—
710C4—101no—
711C4—101no—
712C4—121no—
713C4—121no—
714C4—121no—
715C4—601no—
716C4—601no—
717C4#9202411yescharacteristic
718C4#9202411yescharacteristic
719C3#1061308311yescharacteristic, complemented, Sylow
720C2—41no—
721C2—241no—
722C2—602no—
723C2—602no—
724C2#1175287211yescharacteristic
725C2#1175396211yescharacteristic
726C2#1175402411yescharacteristic
subgroupG/H
centerC22C2×D5×D12
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C22⋊C8C22
socleC22×C3×C5C22×D4
prime radical#11748525C2
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. #11754515C2semidirect
2. #11754504C2semidirect
3. #11750832C2semidirect
4. C5×#4737C2semidirect
5. C3×#65009C2semidirect
7. #11748463C2semidirect
8. #11747779C2semidirect
9. #11747779C2semidirect
10. #11747778C2semidirect
11. #11747767C2semidirect
12. #11747762C2semidirect
13. #11747760C2semidirect
14. #11747746C2semidirect
15. #11747745C2semidirect
28. #91468C22semidirect
36. Dic5×D12C22semidirect
37. #91373C22semidirect
39. #91333C22semidirect
45. C5×#821C22semidirect
46. C5×#821C22semidirect
47. C5×#818C22semidirect
48. C5×#817C22semidirect
50. C3×#3947C22semidirect
51. C3×#3946C22semidirect
52. C3×#3946C22semidirect
53. C3×C8×Dic5C22semidirect
54. #90988C22semidirect
55. #90985C22semidirect
56. #90975C22semidirect
57. #90975C22semidirect
75. #65009D3semidirect
132. #4737D5semidirect
173. #3947C2×D3semidirect
174. #3946C2×D3semidirect
175. #3946C2×D3semidirect
176. C8×Dic5C2×D3semidirect
259. #821C2×D5semidirect
260. #821C2×D5semidirect
262. #818C2×D5semidirect
264. #817C2×D5semidirect
611. C3×C5#3118semidirect
692. C5#79383semidirect
719. C3#10613083semidirect

Maximal subgroups

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

subgroupindex
#117545152
#117545042
#117508322
C5×#47372
C3×#650092
#117485252
#117484632
#117477792
#117477782
#117477672
#117477622
#117477602
#117477462
#117477452
#106130833
#793835