Finite Group Databasebeta

← #14412578

Subgroups — #14412578

Order 1920.

1544 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×#235C211yesmaximal, characteristic
2C3×D5×#117C211yesmaximal, characteristic, complemented
3C22×#6649C211yesmaximal, characteristic, complemented
4#11751103C211yesmaximal, characteristic, complemented
5C5×#5002C211yesmaximal, characteristic, complemented
6#11748411C211yesmaximal, characteristic, complemented
7#11748382C211yesmaximal, characteristic, complemented
8#11747500C212yesmaximal, complemented
9#11747498C212yesmaximal, complemented
10#11747487C212yesmaximal, complemented
11#11747475C212yesmaximal, complemented
12#10610561—31nomaximal, Hall
13C2×#6817C2211yescharacteristic
14C2×C5×#235C2211yescharacteristic
15C22×C3×C4×D5C2211yescharacteristic
16C2×D5×#67—21no—
17C2×#6782—21no—
18D5×#235—24no—
19D5×#235C418yescomplemented
20C2×D5×D12C2211yescharacteristic
21C2×C4×D3×D5—21no—
22C2×#6773C2211yescharacteristic
23C2×#6772C2211yescharacteristic
24C2×#6771—21no—
25C2×D5×Dic6C2211yescharacteristic
26C3×C5×#117C2211yescharacteristic, complemented
27C22×C3⋊#168C2211yescharacteristic, complemented
28C22×C5×C3⋊C8C2211yescharacteristic, complemented
29C3×#4072C2211yescharacteristic, complemented
30C3×#4038C2212yes—
31C3×D5×C4⋊C4C2212yescomplemented
32C3×D5×C22⋊C4—21no—
33C3×#4023—21no—
34C3×#4018—21no—
35C3×C42×D5—21no—
36C2×#6649—24no—
37C2×#6649C2212yes—
38C2×#6649C2212yescomplemented
39#91094C2212yescomplemented
40#91093C2212yescomplemented
41C5×#810C2212yescomplemented
42C5×#809C2212yescomplemented
43#90974C2212yescomplemented
44#90972C2212yescomplemented
45#90968C2212yescomplemented
46#90966C2212yescomplemented
47#82213—51nomaximal, Hall
48C2×D5×#41—31no—
49C22×#676—31no—
50D5×#117D311yescharacteristic, complemented
51C5×#416—31no—
52#65522—31no—
53#65402—31no—
54#65291—31no—
55#65092—32no—
56#65091—32no—
57#65060—32no—
58#65059—32no—
59C23×C3×D5D411yescharacteristic
60C22×D3×D5—21no—
61C22×C3×C4×C5C2311yescharacteristic
62C2×#1220—21no—
63#6817—22no—
64#6817C2×C414yescomplemented
65C2×D60C2311yescharacteristic
66C2×C4×D15—21no—
67C2×Dic30C2311yescharacteristic
68C2×C5×#67—21no—
69C5×#235—22no—
70C5×#235C2×C414yescomplemented
71C2×C5×D12C2311yescharacteristic
72C2×C4×C5×D3—21no—
73C2×C5×Dic6C2311yescharacteristic
74C22×C3×Dic5D411yescharacteristic
75C2×C3×C4×D5—22no—
76C2×C3×C4×D5C2×C414yes—
77C2×C3×C4×D5D411yescharacteristic
78C2×C3×C4×D5D411yescharacteristic
79C2×C3×C4×D5D414yes—
80C2×C3×C4×D5C2311yescharacteristic
81C2×C3×C4×D5C2311yescharacteristic
82D5×#67—28no—
83C2×#1204—21no—
84C2×#1203—21no—
85C2×#1202—21no—
86C2×#1201—21no—
87C2×#1200—21no—
88#6782—28no—
89C2×D3×Dic5—21no—
90C2×D5×Dic3—21no—
91D5×D12—22no—
92D5×D12C2×C414yescomplemented
93C4×D3×D5—28no—
94#6773—22no—
95#6773C2×C414yes—
96#6772—22no—
97#6772C2×C414yes—
98#6771—28no—
99D5×Dic6—22no—
100D5×Dic6C2×C414yescomplemented
101C3×C5×C4⋊C4C2312yes—
102C3×C5×C22⋊C4—21no—
103C3×C42×C5—21no—
104C2×C3⋊#168—22no—
105C2×C3⋊#168C2312yes—
106C2×C5×C3⋊C8—22no—
107C2×C5×C3⋊C8C2312yes—
108C3×C22⋊Dic5—21no—
109C3×#685—22no—
110C3×C4⋊Dic5C2312yes—
111C3×#683—22no—
112C3×C4×Dic5—21no—
113C3×C4×Dic5—22no—
114#6649—24no—
115#6649—24no—
116C22×#235—51no—
117C2×C3×#117—51no—
118C22×#208—51no—
119#5004—52no—
120#5002—51no—
121#5002—51no—
122#5002—51no—
123#5002D511yescharacteristic, complemented
124#5001—52no—
125#4966—52no—
126#4966—52no—
127C2×C5×#41—31no—
128D5×#41—38no—
129D5×#41—64no—
130C2×#713—31no—
131C2×Q8×D5—31no—
132C2×#711—31no—
133C2×#711—61no—
134C2×D4×D5—31no—
135C2×D4×D5—61no—
136C2×#709—31no—
137C2×#709—61no—
138C22×C4×D5—61no—
139C22×C4×D5C2×D311yescharacteristic
140C22×C5×C8—31no—
141C5×#117C2×D311yescharacteristic, complemented
142#4072C2×D311yescharacteristic, complemented
143C22×#168—31no—
144C2×#676—32no—
145C2×#676—32no—
146C2×#676—64no—
147#4038C2×D312yes—
148D5×C4⋊C4C2×D312yescomplemented
149D5×C22⋊C4—21no—
150#4023—21no—
151#4018—21no—
152C42×D5—21no—
153C5×#103—32no—
154C5×#102—32no—
155#3967—32no—
156#3964—32no—
157#3953—32no—
158#3948—32no—
159#3942—32no—
160#3941—32no—
161#2896—151noSylow
162C23×C3×C5C2×D411yescharacteristic
163C22×D15—21no—
164C22×C5×D3—21no—
165C22×C3×D5—42no—
166C22×C3×D5C22⋊C414yes—
167C22×C3×D5C2×D411yescharacteristic
168C22×C3×D5C2×D411yescharacteristic
169C2×D3×D5—24no—
170C2×D3×D5—44no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5C22×C412yes—
173C2×C3×C4×C5C2×D411yescharacteristic
174C2×C3×C4×C5C2×D412yes—
175C2×C3×C4×C5C2411yescharacteristic
176#1220—24no—
177C2×Dic15—21no—
178D60—21no—
179D60C22×C412yes—
180C4×D15—24no—
181Dic30—21no—
182Dic30C22×C412yes—
183C5×#67—24no—
184C2×C5×Dic3—21no—
185C5×D12—21no—
186C5×D12C22×C412yes—
187C4×C5×D3—24no—
188C5×Dic6—21no—
189C5×Dic6C22×C412yes—
190C2×C3×Dic5—22no—
191C2×C3×Dic5C22⋊C414yes—
192C2×C3×Dic5C2×D411yescharacteristic
193C2×C3×Dic5C2×D411yescharacteristic
194C3×C4×D5—44no—
195C3×C4×D5C22⋊C414yes—
196C3×C4×D5C22⋊C414yes—
197C3×C4×D5C22×C412yes—
198C3×C4×D5C22×C412yes—
199C3×C4×D5C2×D412yes—
200C3×C4×D5C2×D412yes—
201#1204—24no—
202#1203—24no—
203#1202—24no—
204#1201—24no—
205#1200—24no—
206D3×Dic5—24no—
207D5×Dic3—24no—
208C3⋊#168—22no—
209C5×C3⋊C8—22no—
210C23×C3×C4—51no—
211C22×#67—101no—
212C2×#235—51no—
213C2×#235—58no—
214C2×#235—51no—
215C2×#235—51no—
216C2×#235—101no—
217C2×#235—104no—
218C2×#235—101no—
219C2×#235C2×D511yescharacteristic
220C22×D12—51no—
221C22×C4×D3—101no—
222C22×Dic6—51no—
223C3×#117—51no—
224C3×#117—52no—
225C3×#117—101no—
226C3×#117—101no—
227C3×#117C2×D511yescharacteristic, complemented
228C2×C3×C4⋊C4—52no—
229C2×C3×C22⋊C4—101no—
230C2×C3×C42—101no—
231C2×#208—52no—
232C2×#208—52no—
233C2×#208—104no—
234C22×C3⋊C8—51no—
235C22×C3⋊C8C2×D511yescharacteristic, complemented
236#810—52no—
237#810—52no—
238#810—52no—
239#810C2×D512yescomplemented
240#809—52no—
241#809—52no—
242#809—52no—
243#809C2×D512yescomplemented
244C23×D5—61no—
245C23×D5#6711yescharacteristic
246C5×#41—34no—
247C5×#41—62no—
248C2×C5×Q8—31no—
249C2×C5×D4—31no—
250C2×C5×D4—61no—
251C22×C4×C5—61no—
252C22×C4×C5C22×D311yescharacteristic
253C2×C22⋊D5—61no—
254C2×C22⋊D5—61no—
255C2×C22⋊D5—61no—
256C22×Dic5—61no—
257C22×Dic5#6711yescharacteristic
258#713—34no—
259#713—62no—
260Q8×D5—34no—
261Q8×D5—62no—
262#711—34no—
263#711—68no—
264#711—62no—
265D4×D5—34no—
266D4×D5—68no—
267D4×D5—62no—
268#709—34no—
269#709—62no—
270#709—68no—
271C2×D20—31no—
272C2×D20—61no—
273C2×C4×D5—22no—
274C2×C4×D5—61no—
275C2×C4×D5—61no—
276C2×C4×D5—61no—
277C2×C4×D5—68no—
278C2×C4×D5C4×D314yes—
279C2×C4×D5D1214yes—
280C2×C4×D5#6711yescharacteristic
281C2×C4×D5#6711yescharacteristic
282C2×C4×D5C22×D311yescharacteristic
283C2×C4×D5C22×D311yescharacteristic
284C2×Dic10—31no—
285C2×Dic10—61no—
286C2×C5×C8—32no—
287C2×C5×C8—62no—
288C5×C4⋊C4C22×D312yes—
289C5×C22⋊C4—21no—
290C42×C5—21no—
291C22⋊Dic5—21no—
292#685—22no—
293C4⋊Dic5C22×D312yes—
294#683—22no—
295C4×Dic5—21no—
296C4×Dic5—22no—
297C2×#168—32no—
298C2×#168—62no—
299#676—64no—
300#676—64no—
301C22×#41—151no—
302C22×M16—151no—
303C2×#117—51no—
304#419—152no—
305#418—152no—
306#417—152no—
307#417—152no—
308#416—31no—
309#416—151no—
310#416—151no—
311#416—151no—
312C22×C3×C5—22no—
313C22×C3×C5C2×C22⋊C412yes—
314C22×C3×C5C22×D411yescharacteristic
315C2×D15—22no—
316C2×D15—42no—
317C2×C5×D3—22no—
318C2×C5×D3—42no—
319C2×C3×D5—22no—
320C2×C3×D5—22no—
321C2×C3×D5—44no—
322C2×C3×D5C2×C22⋊C412yes—
323C2×C3×D5C2×C22⋊C412yes—
324D3×D5—48no—
325C3×C4×C5—42no—
326C3×C4×C5C2×C22⋊C412yes—
327C3×C4×C5C23×C411yescharacteristic
328C3×C4×C5C22×D411yescharacteristic
329Dic15—22no—
330C3×Dic5—42no—
331C3×Dic5C2×C22⋊C412yes—
332C3×Dic5C2×C22⋊C412yes—
333C5×Dic3—22no—
334C24×C3—51no—
335C23×D3—101no—
336C22×C3×C4—51no—
337C22×C3×C4—54no—
338C22×C3×C4—54no—
339C22×C3×C4—51no—
340C22×C3×C4—51no—
341C22×C3×C4—51no—
342C22×C3×C4—51no—
343C22×C3×C4—102no—
344C22×C3×C4C22×D511yescharacteristic
345C2×#67—21no—
346C2×#67—101no—
347C2×#67—108no—
348C2×#67—101no—
349C2×#67—101no—
350C22×Dic3—101no—
351#235—22no—
352#235—54no—
353#235—54no—
354#235—54no—
355#235—102no—
356#235—108no—
357#235—102no—
358#235—108no—
359#235—102no—
360#235C4×D514yescomplemented
361C2×D12—51no—
362C2×D12—54no—
363C2×D12—102no—
364C2×D12—101no—
365C2×D12C22×D511yescharacteristic
366C2×C4×D3—21no—
367C2×C4×D3—108no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×Dic6—51no—
372C2×Dic6—54no—
373C2×Dic6—102no—
374C2×Dic6—101no—
375C2×Dic6C22×D511yescharacteristic
376C3×C4⋊C4—52no—
377C3×C4⋊C4—102no—
378C3×C4⋊C4C22×D512yes—
379C3×C22⋊C4—21no—
380C3×C22⋊C4—102no—
381C3×C22⋊C4—101no—
382C3×C42—21no—
383C3×C42—102no—
384C3×C42—101no—
385#208—104no—
386#208—104no—
387C2×C3⋊C8—22no—
388C2×C3⋊C8—52no—
389C2×C3⋊C8—102no—
390C2×C3⋊C8C22×D512yes—
391C23×C5—61no—
392C23×C5C2×#6711yescharacteristic
393C22×D5—42no—
394C22×D5—61no—
395C22×D5—64no—
396C22×D5—124no—
397C22×D5(C2×D3)⋊C414yes—
398C22×D5C2×#6711yescharacteristic
399C22×D5C2×#6711yescharacteristic
400C5×Q8—32no—
401C5×Q8—61no—
402C5×D4—32no—
403C5×D4—64no—
404C5×D4—61no—
405C2×C4×C5—22no—
406C2×C4×C5—61no—
407C2×C4×C5—64no—
408C2×C4×C5C2×C4×D312yes—
409C2×C4×C5C2×D1212yes—
410C2×C4×C5C2×#6711yescharacteristic
411C2×C4×C5C23×D311yescharacteristic
412C22⋊D5—64no—
413C22⋊D5—64no—
414C22⋊D5—64no—
415C2×Dic5—22no—
416C2×Dic5—61no—
417C2×Dic5—64no—
418C2×Dic5(C2×D3)⋊C414yes—
419C2×Dic5C2×#6711yescharacteristic
420C2×Dic5C2×#6711yescharacteristic
421D20—32no—
422D20—64no—
423D20—61no—
424C4×D5—44no—
425C4×D5—64no—
426C4×D5—64no—
427C4×D5—64no—
428C4×D5(C2×D3)⋊C414yes—
429C4×D5(C2×D3)⋊C414yes—
430C4×D5C2×C4×D312yes—
431C4×D5C2×C4×D312yes—
432C4×D5C2×D1212yes—
433C4×D5C2×D1212yes—
434Dic10—32no—
435Dic10—61no—
436Dic10—64no—
437C5×C8—62no—
438#168—62no—
439C2×#41—31no—
440C2×#41—151no—
441C2×#41—151no—
442C2×#41—158no—
443C2×#41—151no—
444C2×#41—301no—
445C2×#41—301no—
446C2×#41—304no—
447C22×Q8—151no—
448C22×D4—151no—
449C22×D4—301no—
450C23×C4—51no—
451C23×C4—301no—
452C2×M16—152no—
453C2×M16—152no—
454C2×M16—304no—
455C22×C8—31no—
456C22×C8—151no—
457#117—51no—
458#117—52no—
459#117—101no—
460#117—101no—
461#117D3×D511yescharacteristic, complemented
462C2×C4⋊C4—52no—
463C2×C22⋊C4—101no—
464C2×C42—101no—
465#103—32no—
466#103—152no—
467#103—152no—
468#103—152no—
469#102—32no—
470#102—152no—
471#102—152no—
472#102—152no—
473C2×C3×C5—22no—
474C2×C3×C5C22×C22⋊C411yescharacteristic
475C2×C3×C5#57512yes—
476D15—42no—
477C3×D5—22no—
478C3×D5—22no—
479C5×D3—42no—
480C23×C3—51no—
481C23×C3—51no—
482C23×C3—54no—
483C23×C3—202no—
484C23×C3D4×D511yescharacteristic
485C22×D3—21no—
486C22×D3—104no—
487C22×D3—101no—
488C22×D3—204no—
489C2×C3×C4—22no—
490C2×C3×C4—51no—
491C2×C3×C4—51no—
492C2×C3×C4—54no—
493C2×C3×C4—52no—
494C2×C3×C4—52no—
495C2×C3×C4—52no—
496C2×C3×C4—52no—
497C2×C3×C4—54no—
498C2×C3×C4—54no—
499C2×C3×C4—102no—
500C2×C3×C4—204no—
501C2×C3×C4C2×C4×D512yes—
502C2×C3×C4D4×D512yes—
503C2×C3×C4D4×D511yescharacteristic
504C2×C3×C4C23×D511yescharacteristic
505#67—24no—
506#67—104no—
507#67—104no—
508#67—104no—
509C2×Dic3—21no—
510C2×Dic3—104no—
511C2×Dic3—101no—
512D12—21no—
513D12—52no—
514D12—104no—
515D12—101no—
516D12C2×C4×D512yes—
517C4×D3—24no—
518C4×D3—104no—
519C4×D3—104no—
520C4×D3—104no—
521Dic6—21no—
522Dic6—52no—
523Dic6—104no—
524Dic6—101no—
525Dic6C2×C4×D512yes—
526C3⋊C8—22no—
527C3⋊C8—102no—
528C22×C5—22no—
529C22×C5—62no—
530C22×C5—122no—
531C22×C5C2×(C2×D3)⋊C412yes—
532C22×C5C22×#6711yescharacteristic
533C2×D5—22no—
534C2×D5—22no—
535C2×D5—44no—
536C2×D5—62no—
537C2×D5—128no—
538C2×D5—122no—
539C2×D5C2×(C2×D3)⋊C412yes—
540C2×D5C2×(C2×D3)⋊C412yes—
541C4×C5—42no—
542C4×C5—62no—
543C4×C5C2×(C2×D3)⋊C412yes—
544C4×C5C22×C4×D311yescharacteristic
545C4×C5C22×D1211yescharacteristic
546Dic5—42no—
547Dic5—62no—
548Dic5C2×(C2×D3)⋊C412yes—
549Dic5C2×(C2×D3)⋊C412yes—
550C24—51no—
551C24—301no—
552#41—34no—
553#41—62no—
554#41—154no—
555#41—154no—
556#41—154no—
557#41—308no—
558#41—308no—
559#41—302no—
560#41—302no—
561#41—302no—
562C2×Q8—31no—
563C2×Q8—154no—
564C2×Q8—151no—
565C2×Q8—301no—
566C2×Q8—302no—
567C2×D4—31no—
568C2×D4—61no—
569C2×D4—154no—
570C2×D4—151no—
571C2×D4—302no—
572C2×D4—301no—
573C2×D4—301no—
574C2×D4—308no—
575C2×D4—301no—
576C2×D4—301no—
577C22×C4—51no—
578C22×C4—54no—
579C22×C4—54no—
580C22×C4—51no—
581C22×C4—51no—
582C22×C4—51no—
583C22×C4—51no—
584C22×C4—61no—
585C22×C4—102no—
586C22×C4—301no—
587C22×C4—308no—
588C22×C4—301no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C2×D3×D511yescharacteristic
592M16—304no—
593M16—304no—
594C2×C8—32no—
595C2×C8—62no—
596C2×C8—152no—
597C2×C8—302no—
598C4⋊C4—52no—
599C4⋊C4—102no—
600C4⋊C4C2×D3×D512yes—
601C22⋊C4—21no—
602C22⋊C4—102no—
603C22⋊C4—101no—
604C42—21no—
605C42—102no—
606C42—101no—
607C3×C5#289611yescharacteristic, complemented, Hall
608C22×C3—22no—
609C22×C3—52no—
610C22×C3—52no—
611C22×C3—102no—
612C22×C3—102no—
613C22×C3—204no—
614C22×C3D5×C22⋊C412yes—
615C22×C3C2×D4×D511yescharacteristic
616C2×D3—22no—
617C2×D3—42no—
618C2×D3—102no—
619C2×D3—208no—
620C2×D3—202no—
621C3×C4—42no—
622C3×C4—52no—
623C3×C4—52no—
624C3×C4—202no—
625C3×C4D5×C22⋊C412yes—
626C3×C4C22×C4×D511yescharacteristic
627C3×C4C2×D4×D511yescharacteristic
628Dic3—22no—
629Dic3—102no—
630C2×C5—22no—
631C2×C5—122no—
632C2×C5C22×(C2×D3)⋊C411yescharacteristic
633C2×C5#582212yes—
634D5—22no—
635D5—22no—
636D5—122no—
637C23—51no—
638C23—51no—
639C23—54no—
640C23—61no—
641C23—202no—
642C23—304no—
643C23—301no—
644C23—604no—
645C23D5×#6711yescharacteristic
646Q8—32no—
647Q8—61no—
648Q8—152no—
649Q8—304no—
650Q8—301no—
651D4—32no—
652D4—64no—
653D4—61no—
654D4—152no—
655D4—304no—
656D4—304no—
657D4—304no—
658D4—304no—
659D4—301no—
660C2×C4—22no—
661C2×C4—54no—
662C2×C4—51no—
663C2×C4—51no—
664C2×C4—54no—
665C2×C4—54no—
666C2×C4—52no—
667C2×C4—52no—
668C2×C4—52no—
669C2×C4—52no—
670C2×C4—61no—
671C2×C4—64no—
672C2×C4—102no—
673C2×C4—204no—
674C2×C4—304no—
675C2×C4—304no—
676C2×C4—304no—
677C2×C4—301no—
678C2×C4—304no—
679C2×C4C4×D3×D512yes—
680C2×C4D5×D1212yes—
681C2×C4D5×#6711yescharacteristic
682C2×C4C22×D3×D511yescharacteristic
683C8—62no—
684C8—302no—
685C2×C3—22no—
686C2×C3—102no—
687C2×C3—102no—
688C2×C3C2×D5×C22⋊C411yescharacteristic
689C2×C3#6610212yes—
690D3—42no—
691D3—202no—
692C5#8221311yescharacteristic, complemented, Sylow
693C22—22no—
694C22—52no—
695C22—52no—
696C22—62no—
697C22—102no—
698C22—102no—
699C22—122no—
700C22—204no—
701C22—302no—
702C22—608no—
703C22—602no—
704C22D5×(C2×D3)⋊C412yes—
705C22C2×D5×#6711yescharacteristic
706C4—42no—
707C4—52no—
708C4—52no—
709C4—62no—
710C4—202no—
711C4—302no—
712C4D5×(C2×D3)⋊C412yes—
713C4C2×C4×D3×D511yescharacteristic
714C4C2×D5×D1211yescharacteristic
715C3#1061056111yescharacteristic, complemented, Sylow
716C2—22no—
717C2—102no—
718C2—102no—
719C2—122no—
720C2—602no—
721C2C2×D5×(C2×D3)⋊C411yescharacteristic
722C2#1175531512yes—
subgroupG/H
centerC2×C4D5×#67
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#117C22
socleC22×C3×C5C22×D4
prime radicalC2×D5×#235C2
cosocleC2×C3×C4×C5C24
hypercenter#117D3×D5
hypocenterC3×C5#2896
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
2. C3×D5×#117C2semidirect
3. C22×#6649C2semidirect
4. #11751103C2semidirect
5. C5×#5002C2semidirect
6. #11748411C2semidirect
7. #11748382C2semidirect
8. #11747500C2semidirect
9. #11747498C2semidirect
10. #11747487C2semidirect
11. #11747475C2semidirect
19. D5×#235C4semidirect
26. C3×C5×#117C22semidirect
27. C22×C3⋊#168C22semidirect
28. C22×C5×C3⋊C8C22semidirect
29. C3×#4072C22semidirect
31. C3×D5×C4⋊C4C22semidirect
38. C2×#6649C22semidirect
39. #91094C22semidirect
40. #91093C22semidirect
41. C5×#810C22semidirect
42. C5×#809C22semidirect
43. #90974C22semidirect
44. #90972C22semidirect
45. #90968C22semidirect
46. #90966C22semidirect
50. D5×#117D3semidirect
64. #6817C2×C4semidirect
70. C5×#235C2×C4semidirect
92. D5×D12C2×C4semidirect
100. D5×Dic6C2×C4semidirect
123. #5002D5semidirect
141. C5×#117C2×D3semidirect
142. #4072C2×D3semidirect
148. D5×C4⋊C4C2×D3semidirect
227. C3×#117C2×D5semidirect
235. C22×C3⋊C8C2×D5semidirect
239. #810C2×D5semidirect
243. #809C2×D5semidirect
360. #235C4×D5semidirect
461. #117D3×D5semidirect
607. C3×C5#2896semidirect
692. C5#82213semidirect
715. C3#10610561semidirect

Maximal subgroups

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

subgroupindex
C2×D5×#2352
C3×D5×#1172
C22×#66492
#117511032
C5×#50022
#117484112
#117483822
#117475002
#117474982
#117474872
#117474752
#106105613
#822135