Finite Group Databasebeta

← #14435655

Subgroups — #14435655

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×#65879C211yesmaximal, characteristic, complemented
2#11752717C211yesmaximal, characteristic, complemented
3#11751109C211yesmaximal, characteristic, complemented
4C5×#5016C211yesmaximal, characteristic, complemented
5#11749044C211yesmaximal, characteristic, complemented
6#11749021C211yesmaximal, characteristic
7#11749001C211yesmaximal, characteristic, complemented
8Dic5×#213C211yesmaximal, characteristic, complemented
9#11747468C211yesmaximal, characteristic, complemented
10#11747342C211yesmaximal, characteristic, complemented
11#11747313C211yesmaximal, characteristic, complemented
12#11747261C211yesmaximal, characteristic, complemented
13#11747027C211yesmaximal, characteristic, complemented
14#11746889C211yesmaximal, characteristic, complemented
15#11746873C211yesmaximal, characteristic, complemented
16#10612239—31nomaximal, Hall
17C2×C3×D4×D5C2211yescharacteristic
18C3×C4×C5×D4C2211yescharacteristic
19#91758C2211yescharacteristic, complemented
20C2×C5×#214C2211yescharacteristic
21C2×C5×#213C2211yescharacteristic
22C5×#875C2211yescharacteristic, complemented
23C3×D4×Dic5C2211yescharacteristic
24C3×C4×C22⋊D5—21no—
25C2×C3×#685—21no—
26C3×#4039C2211yescharacteristic
27C3×#4038C2211yescharacteristic
28C3×#4027—21no—
29C3×D5×C22⋊C4—21no—
30C3×C4×D20C2211yescharacteristic
31C3×#4018C2211yescharacteristic
32#91462—21no—
33#91457—21no—
34#91449C2211yescharacteristic
35#91432—21no—
36Dic5×D12C2211yescharacteristic, complemented
37#91359C2211yescharacteristic
38#91342—21no—
39Dic5×Dic6C2211yescharacteristic, complemented
40C2×#6655C2211yescharacteristic
41C2×#6652C2211yescharacteristic
42#91116C2211yescharacteristic
43#91116C2211yescharacteristic
44#91092C2211yescharacteristic, complemented
45#91092C2211yescharacteristic, complemented
46C4⋊(C3⋊#168)C2211yescharacteristic, complemented
47C5×#810C2211yescharacteristic, complemented
48C5×#809C2211yescharacteristic, complemented
49C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
50#90990C2211yescharacteristic, complemented
51#90990C2211yescharacteristic, complemented
52#90972C2211yescharacteristic, complemented
53#90966C2211yescharacteristic, complemented
54#90965C2211yescharacteristic
55#90965C2211yescharacteristic
56#90955C2211yescharacteristic
57#90955C2211yescharacteristic
58#90952C2211yescharacteristic, complemented
59Dic5×C3⋊C8C2211yescharacteristic, complemented
60#82541—51nomaximal, Hall
61#66016—31no—
62#65879D311yescharacteristic, complemented
63C5×#463—31no—
64#65458—31no—
65#65453—31no—
66#65445—31no—
67D8×Dic5—31no—
68#65346—31no—
69#65297—31no—
70#65135—31no—
71#65129—31no—
72#65103—31no—
73#65077—31no—
74#65074—31no—
75#65073—31no—
76C23×C3×D5—21no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×Dic30—21no—
80C2×C5×D12C2311yescharacteristic
81C2×C5×Dic6C2311yescharacteristic
82C2×C3×C22⋊D5—21no—
83C22×C3×Dic5—21no—
84C3×D4×D5—22no—
85C3×D4×D5—22no—
86C2×C3×D20C2311yescharacteristic
87C2×C3×C4×D5—21no—
88C2×C3×C4×D5—21no—
89C2×C3×C4×D5C2311yescharacteristic
90C2×#1201—21no—
91C2×D3×Dic5—21no—
92C3×C5×C4⋊C4C2311yescharacteristic
93C3×C5×C22⋊C4—21no—
94C3×C42×C5C2311yescharacteristic
95C4⋊Dic15—21no—
96C4⋊Dic15C2311yescharacteristic
97C4⋊Dic15C2311yescharacteristic
98C2×C3⋊#168C2311yescharacteristic
99C2×C3⋊#168C2311yescharacteristic
100C5×#214—22no—
101C5×#213—22no—
102C5×(C2×D3)⋊C4—21no—
103C5×(C2×D3)⋊C4—21no—
104C2×C5×C3⋊C8C2311yescharacteristic
105C2×C5×C3⋊C8C2311yescharacteristic
106C3×C22⋊Dic5—21no—
107C3×#685—21no—
108C3×#685—21no—
109C3×#685—21no—
110C3×#685D411yescharacteristic
111C3×#685D411yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683D411yescharacteristic
114C3×#683D411yescharacteristic
115C3×C4×Dic5—21no—
116C3×C4×Dic5C2311yescharacteristic
117Dic3⋊Dic5—21no—
118#6669—21no—
119(C2×D3)⋊Dic5—21no—
120(C2×D3)⋊Dic5—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123#6655—22no—
124#6652—22no—
125C3×#518—51no—
126#5534—51no—
127#5218—51no—
128#5217—51no—
129#5018—51no—
130C4×#214—51no—
131#5016—51no—
132#5016D511yescharacteristic, complemented
133#5014—51no—
134C4×#213—51no—
135#5008—51no—
136#5007—51no—
137#5003—51no—
138#5000—51no—
139#4996—51no—
140C2×D4×D5C2×D311yescharacteristic
141C2×C5×SD16—31no—
142C2×C5×D8—31no—
143C5×#124—31no—
144C4×C5×D4C2×D311yescharacteristic
145#4092—31no—
146Q8×Dic5—31no—
147C2×#688—31no—
148#4084—31no—
149D4×Dic5—31no—
150D4×Dic5C2×D311yescharacteristic
151C2×#686—31no—
152C4×C22⋊D5—21no—
153C2×#685—21no—
154#4039C2×D311yescharacteristic
155#4038C2×D311yescharacteristic
156#4032—61no—
157#4031—61no—
158#4027—21no—
159D5×C22⋊C4—21no—
160#4025—61no—
161#4024—61no—
162C4×D20C2×D311yescharacteristic
163#4018C2×D311yescharacteristic
164#4015—31no—
165C5×C4⋊C8—31no—
166C5×#103—31no—
167C5×#102—31no—
168#3967—31no—
169#3964—31no—
170#3964—31no—
171#3964—31no—
172#3953—31no—
173#3953—31no—
174#3952—31no—
175#3952—31no—
176#3950—31no—
177#3950—31no—
178#3947—31no—
179C8×Dic5—31no—
180#3940—31no—
181#3940—31no—
182C4⋊#168—31no—
183#3118—151noSylow
184C23×C3×C5—21no—
185C22×C5×D3—21no—
186C22×C3×D5—21no—
187C22×C3×D5—24no—
188C22×C3×D5—81no—
189C22×C3×D5—81no—
190C22×C3×D5C2×D411yescharacteristic
191C3×C5×D4—21no—
192C3×C5×D4#4112yes—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—81no—
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199C2×Dic15—21no—
200Dic30—81no—
201C2×C5×Dic3—21no—
202C5×D12—21no—
203C5×D12—21no—
204C5×Dic6—21no—
205C5×Dic6—21no—
206C3×C22⋊D5—24no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—81no—
209C2×C3×Dic5C2×D411yescharacteristic
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C3×D20—21no—
213C3×D20#4112yes—
214C3×C4×D5—21no—
215C3×C4×D5—21no—
216C3×C4×D5—81no—
217C3×C4×D5—81no—
218#1201—81no—
219D3×Dic5—81no—
220C3⋊#168—21no—
221C3⋊#168—21no—
222C5×C3⋊C8—21no—
223C5×C3⋊C8—21no—
224C22×C3×D4—51no—
225C3×C4×D4—51no—
226C3×C4×D4—51no—
227C3×C4×D4—51no—
228C3×C4×D4—101no—
229C3×C4×D4—101no—
230C3×C4×D4C2×D511yescharacteristic
231C3×#117—51no—
232C3×#117—51no—
233C2×C3×C22⋊C4—101no—
234C2×C3×C22⋊C4—101no—
235C2×#214—51no—
236C2×#214C2×D511yescharacteristic
237C2×#213—51no—
238C2×#213C2×D511yescharacteristic
239#930—51no—
240#924—51no—
241#898—101no—
242#896—101no—
243#885—101no—
244#883—101no—
245#875C2×D511yescharacteristic, complemented
246C4×D12—51no—
247#869—51no—
248C4×Dic6—51no—
249#832—51no—
250#832—51no—
251#832—51no—
252#832—51no—
253#830—51no—
254#830—51no—
255#810—51no—
256#810C2×D511yescharacteristic, complemented
257#809—51no—
258#809C2×D511yescharacteristic, complemented
259#808—51no—
260#808—51no—
261#807—51no—
262#807—51no—
263C4⋊(C3⋊C8)—51no—
264C4⋊(C3⋊C8)C2×D511yescharacteristic, complemented
265#803—51no—
266C4×C3⋊C8—51no—
267C23×D5—21no—
268C2×C5×Q8—31no—
269C2×C5×D4—31no—
270C2×C5×D4C22×D311yescharacteristic
271C22×C4×C5—21no—
272C2×C22⋊D5—21no—
273C2×C22⋊D5—61no—
274C22×Dic5—21no—
275C22×Dic5—61no—
276D4×D5—22no—
277D4×D5—22no—
278C2×D20C22×D311yescharacteristic
279C2×C4×D5—21no—
280C2×C4×D5—21no—
281C2×C4×D5C22×D311yescharacteristic
282C2×Dic10—61no—
283C5×SD16—62no—
284C5×D8—62no—
285C2×C5×C8—31no—
286C2×C5×C8—31no—
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C22⋊C4—21no—
289C5×C22⋊C4—61no—
290C5×C22⋊C4—61no—
291C42×C5C22×D311yescharacteristic
292C22⋊Dic5—21no—
293C22⋊Dic5—61no—
294C22⋊Dic5—61no—
295#688—62no—
296#686—62no—
297#685—21no—
298#685—21no—
299#685—21no—
300#685—61no—
301#685#6711yescharacteristic
302#685#6711yescharacteristic
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5—61no—
306C4⋊Dic5—61no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—61no—
309#683#6711yescharacteristic
310#683#6711yescharacteristic
311C4×Dic5—21no—
312C4×Dic5—61no—
313C4×Dic5C22×D311yescharacteristic
314C2×#168—31no—
315C2×#168—31no—
316#542—151no—
317#518—51no—
318#485—151no—
319#482—151no—
320#476—151no—
321#474—151no—
322#463—31no—
323#463—151no—
324#450—151no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—22no—
332C22×C3×C5—41no—
333C22×C3×C5—41no—
334C22×C3×C5C22×D411yescharacteristic
335C2×C5×D3—41no—
336C2×C5×D3—41no—
337C2×C5×D3—41no—
338C2×C3×D5—21no—
339C2×C3×D5—22no—
340C2×C3×D5—21no—
341C2×C3×D5—21no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344C2×C3×D5—84no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—41no—
348C3×C4×C5C2×#4111yescharacteristic
349C3×C4×C5C2×#4111yescharacteristic
350Dic15—41no—
351Dic15—41no—
352C3×Dic5—21no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C5×Dic3—41no—
357C24×C3—101no—
358C2×C3×D4—51no—
359C2×C3×D4—101no—
360C2×C3×D4—102no—
361C2×C3×D4—102no—
362C2×C3×D4C22×D511yescharacteristic
363C22×C3×C4—21no—
364C22×C3×C4—51no—
365C22×C3×C4—101no—
366C22×C3×C4—101no—
367C22×C3×C4—101no—
368C2×#67—101no—
369C2×D12C22×D511yescharacteristic
370C2×C4×D3—101no—
371C2×Dic6—101no—
372C2×Dic6C22×D511yescharacteristic
373C3×C4⋊C4—51no—
374C3×C4⋊C4—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4C22×D511yescharacteristic
377C3×C22⋊C4—21no—
378C3×C22⋊C4—51no—
379C3×C22⋊C4—51no—
380C3×C22⋊C4—101no—
381C3×C22⋊C4—101no—
382C3×C22⋊C4—101no—
383C3×C22⋊C4—101no—
384C3×C42—51no—
385C3×C42—101no—
386C3×C42C22×D511yescharacteristic
387#217—101no—
388#214—22no—
389#214—102no—
390#213—22no—
391#213—102no—
392(C2×D3)⋊C4—21no—
393(C2×D3)⋊C4—21no—
394(C2×D3)⋊C4—101no—
395(C2×D3)⋊C4—101no—
396C4⋊Dic3—51no—
397C4⋊Dic3—51no—
398C4⋊Dic3—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—101no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404C2×C3⋊C8C22×D511yescharacteristic
405C2×C3⋊C8C22×D511yescharacteristic
406C23×C5—21no—
407C23×C5—61no—
408C22×D5—21no—
409C22×D5—24no—
410C22×D5—81no—
411C22×D5—81no—
412C22×D5C2×#6711yescharacteristic
413C5×Q8—61no—
414C5×Q8—61no—
415C5×D4—21no—
416C5×D4—61no—
417C5×D4—61no—
418C5×D4#23512yes—
419C2×C4×C5—21no—
420C2×C4×C5—61no—
421C2×C4×C5—81no—
422C2×C4×C5C2×#6711yescharacteristic
423C2×C4×C5C2×#6711yescharacteristic
424C2×C4×C5C23×D311yescharacteristic
425C22⋊D5—24no—
426C22⋊D5—241no—
427C2×Dic5—21no—
428C2×Dic5—61no—
429C2×Dic5—61no—
430C2×Dic5—81no—
431C2×Dic5—241no—
432C2×Dic5C2×#6711yescharacteristic
433C2×Dic5C2×#6711yescharacteristic
434C2×Dic5C2×#6711yescharacteristic
435D20—21no—
436D20#23512yes—
437C4×D5—21no—
438C4×D5—21no—
439C4×D5—81no—
440C4×D5—81no—
441Dic10—241no—
442C5×C8—61no—
443C5×C8—61no—
444#168—61no—
445#168—61no—
446C22×D4—51no—
447C2×SD16—31no—
448C2×SD16—151no—
449C2×D8—31no—
450C2×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—31no—
454#124—301no—
455#123—301no—
456C22⋊Q8—151no—
457C22⋊Q8—301no—
458#121—151no—
459C4×Q8—151no—
460C4×D4—51no—
461C4×D4—51no—
462C4×D4—51no—
463C4×D4—101no—
464C4×D4—101no—
465C4×D4—151no—
466C4×D4D3×D511yescharacteristic
467#117—51no—
468#117—51no—
469C2×C22⋊C4—101no—
470C2×C22⋊C4—101no—
471#107—151no—
472#107—151no—
473#106—151no—
474#106—151no—
475C4⋊C8—31no—
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—151no—
489C2×C3×C5—42no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493C3×D5—41no—
494C3×D5—42no—
495C5×D3—81no—
496C23×C3—21no—
497C23×C3—51no—
498C23×C3—104no—
499C23×C3—101no—
500C23×C3—401no—
501C23×C3—401no—
502C22×D3—21no—
503C3×D4—21no—
504C3×D4—52no—
505C3×D4—104no—
506C3×D4—101no—
507C3×D4#71112yes—
508C2×C3×C4—21no—
509C2×C3×C4—51no—
510C2×C3×C4—51no—
511C2×C3×C4—51no—
512C2×C3×C4—81no—
513C2×C3×C4—101no—
514C2×C3×C4—101no—
515C2×C3×C4—101no—
516C2×C3×C4—401no—
517C2×C3×C4—401no—
518C2×C3×C4—401no—
519C2×C3×C4D4×D511yescharacteristic
520C2×C3×C4D4×D511yescharacteristic
521C2×C3×C4C23×D511yescharacteristic
522#67—401no—
523C2×Dic3—21no—
524C2×Dic3—101no—
525C2×Dic3—101no—
526D12—21no—
527D12—21no—
528C4×D3—401no—
529Dic6—21no—
530Dic6—21no—
531Dic6—401no—
532C3⋊C8—21no—
533C3⋊C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—22no—
537C22×C5—41no—
538C22×C5—41no—
539C22×C5—121no—
540C22×C5—121no—
541C22×C5—121no—
542C22×C5C22×#6711yescharacteristic
543C2×D5—21no—
544C2×D5—22no—
545C2×D5—21no—
546C2×D5—21no—
547C2×D5—41no—
548C2×D5—41no—
549C2×D5—84no—
550C4×C5—21no—
551C4×C5—21no—
552C4×C5—41no—
553C4×C5—121no—
554C4×C5C2×#23511yescharacteristic
555C4×C5C2×#23511yescharacteristic
556Dic5—21no—
557Dic5—21no—
558Dic5—21no—
559Dic5—41no—
560Dic5—121no—
561Dic5—121no—
562C24—101no—
563C2×Q8—31no—
564C2×Q8—301no—
565C2×D4—31no—
566C2×D4—51no—
567C2×D4—101no—
568C2×D4—102no—
569C2×D4—102no—
570C2×D4—301no—
571C2×D4C2×D3×D511yescharacteristic
572C22×C4—21no—
573C22×C4—51no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—301no—
578SD16—62no—
579SD16—302no—
580D8—62no—
581D8—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—151no—
585C2×C8—151no—
586C4⋊C4—51no—
587C4⋊C4—51no—
588C4⋊C4—51no—
589C4⋊C4—151no—
590C4⋊C4—151no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4C2×D3×D511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—51no—
597C22⋊C4—51no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C22⋊C4—101no—
603C22⋊C4—101no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—51no—
608C42—101no—
609C42—301no—
610C42C2×D3×D511yescharacteristic
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—101no—
616C22×C3—101no—
617C22×C3—101no—
618C22×C3—102no—
619C22×C3—201no—
620C22×C3—201no—
621C22×C3—404no—
622C22×C3C2×D4×D511yescharacteristic
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—101no—
630C3×C4—101no—
631C3×C4—101no—
632C3×C4—201no—
633C3×C4C2×#71111yescharacteristic
634C3×C4D5×#4111yescharacteristic
635Dic3—41no—
636Dic3—201no—
637Dic3—201no—
638C2×C5—42no—
639C2×C5—241no—
640C2×C5#579111yescharacteristic
641C2×C5#583511yescharacteristic
642C2×C5#583611yescharacteristic
643D5—41no—
644D5—42no—
645C23—21no—
646C23—51no—
647C23—61no—
648C23—104no—
649C23—101no—
650C23—401no—
651C23—401no—
652Q8—61no—
653Q8—61no—
654Q8—1201no—
655D4—21no—
656D4—52no—
657D4—61no—
658D4—61no—
659D4—104no—
660D4—101no—
661D4—1201no—
662D4#677212yes—
663C2×C4—21no—
664C2×C4—51no—
665C2×C4—51no—
666C2×C4—51no—
667C2×C4—61no—
668C2×C4—81no—
669C2×C4—101no—
670C2×C4—101no—
671C2×C4—101no—
672C2×C4—301no—
673C2×C4—301no—
674C2×C4—401no—
675C2×C4—401no—
676C2×C4—401no—
677C2×C4—1201no—
678C2×C4D5×#6711yescharacteristic
679C2×C4D5×#6711yescharacteristic
680C2×C4C22×D3×D511yescharacteristic
681C8—61no—
682C8—61no—
683C8—301no—
684C8—301no—
685C2×C3—42no—
686C2×C3—201no—
687C2×C3—202no—
688C2×C3#6594011yescharacteristic
689C2×C3#6610311yescharacteristic
690C2×C3#6610911yescharacteristic
691D3—81no—
692C5#8254111yescharacteristic, complemented, Sylow
693C22—22no—
694C22—41no—
695C22—41no—
696C22—101no—
697C22—102no—
698C22—101no—
699C22—101no—
700C22—121no—
701C22—121no—
702C22—121no—
703C22—201no—
704C22—201no—
705C22—404no—
706C22C2×D5×#6711yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—101no—
711C4—101no—
712C4—101no—
713C4—121no—
714C4—201no—
715C4—601no—
716C4—601no—
717C4C2×#677211yescharacteristic
718C4D5×#23511yescharacteristic
719C3#1061223911yescharacteristic, complemented, Sylow
720C2—42no—
721C2—201no—
722C2—202no—
723C2—241no—
724C2#1175452611yescharacteristic
725C2#1175470811yescharacteristic
726C2#1175531811yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radical#11749021C2
hypercenterC4×D4D3×D5
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×#65879C2semidirect
2. #11752717C2semidirect
3. #11751109C2semidirect
4. C5×#5016C2semidirect
5. #11749044C2semidirect
7. #11749001C2semidirect
8. Dic5×#213C2semidirect
9. #11747468C2semidirect
10. #11747342C2semidirect
11. #11747313C2semidirect
12. #11747261C2semidirect
13. #11747027C2semidirect
14. #11746889C2semidirect
15. #11746873C2semidirect
19. #91758C22semidirect
22. C5×#875C22semidirect
36. Dic5×D12C22semidirect
39. Dic5×Dic6C22semidirect
44. #91092C22semidirect
45. #91092C22semidirect
46. C4⋊(C3⋊#168)C22semidirect
47. C5×#810C22semidirect
48. C5×#809C22semidirect
49. C5×C4⋊(C3⋊C8)C22semidirect
50. #90990C22semidirect
51. #90990C22semidirect
52. #90972C22semidirect
53. #90966C22semidirect
58. #90952C22semidirect
59. Dic5×C3⋊C8C22semidirect
62. #65879D3semidirect
132. #5016D5semidirect
245. #875C2×D5semidirect
256. #810C2×D5semidirect
258. #809C2×D5semidirect
264. C4⋊(C3⋊C8)C2×D5semidirect
611. C3×C5#3118semidirect
692. C5#82541semidirect
719. C3#10612239semidirect

Maximal subgroups

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

subgroupindex
C3×#658792
#117527172
#117511092
C5×#50162
#117490442
#117490212
#117490012
Dic5×#2132
#117474682
#117473422
#117473132
#117472612
#117470272
#117468892
#117468732
#106122393
#825415