Finite Group Databasebeta

← #14417508

Subgroups — #14417508

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×#204C211yesmaximal, characteristic
2#11753837C211yesmaximal, characteristic
3#11753397C211yesmaximal, characteristic, complemented
4#11750953C211yesmaximal, characteristic, complemented
5C5×#4852C211yesmaximal, characteristic, complemented
6C3×#65149C211yesmaximal, characteristic, complemented
7#11747807C211yesmaximal, characteristic, complemented
8#11747789C211yesmaximal, characteristic, complemented
9#11747645C211yesmaximal, characteristic, complemented
10#11747487C211yesmaximal, characteristic, complemented
11#11747475C211yesmaximal, characteristic
12#11747473C211yesmaximal, characteristic, complemented
13#11747280C211yesmaximal, characteristic, complemented
14#11747235C211yesmaximal, characteristic, complemented
15#11747231C211yesmaximal, characteristic, complemented
16#10611380—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19C2×#6706C2211yescharacteristic
20#91782C2211yescharacteristic
21#91776C2211yescharacteristic, complemented
22C2×C5×#204C2211yescharacteristic
23C5×#893C2211yescharacteristic
24C5×#887C2211yescharacteristic, complemented
25C2×C3×C8×D5C2211yescharacteristic
26C3×#4038C2211yescharacteristic
27C3×#4038C2211yescharacteristic
28#91473—21no—
29D3×#685—21no—
30C4×#1204—21no—
31C4×#1203—21no—
32#91435C2211yescharacteristic
33#91428C2211yescharacteristic
34#91405—21no—
35#91394—21no—
36#91393—21no—
37#91357C2211yescharacteristic
38#91344C2211yescharacteristic, complemented
39#91340C2211yescharacteristic, complemented
40#91323—21no—
41C2×#6660C2211yescharacteristic
42C2×#6659C2211yescharacteristic
43C2×#6649C2211yescharacteristic
44D5×#204C418yescomplemented
45C3×C5×#106C2211yescharacteristic, complemented
46C8×Dic15C2211yescharacteristic, complemented
47#91094C2211yescharacteristic, complemented
48#91093C2211yescharacteristic
49C5×C8×Dic3C2211yescharacteristic, complemented
50C5×#810C2211yescharacteristic, complemented
51C5×#809C2211yescharacteristic
52C3×#3949C2211yescharacteristic, complemented
53C3×#3939C2211yescharacteristic, complemented
54C3×#3939C2211yescharacteristic, complemented
55#90974C2211yescharacteristic, complemented
56#90972C2211yescharacteristic, complemented
57#90968C2211yescharacteristic
58#90966C2211yescharacteristic
59#90954C2211yescharacteristic, complemented
60#90953C2211yescharacteristic, complemented
61#79168—51nomaximal, Hall
62C2×D5×SD16—31no—
63#65906—31no—
64#65879—31no—
65C4×C5×SD16—31no—
66SD16×Dic5—31no—
67#65315—31no—
68#65307—31no—
69#65149D311yescharacteristic, complemented
70#65141—31no—
71#65106—31no—
72#65091—31no—
73#65059—31no—
74#65046—31no—
75C4×#677—31no—
76#64978—31no—
77C22×D3×D5—21no—
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C2×Dic30C2311yescharacteristic
81C2×C5×D12C2311yescharacteristic
82C2×C4×C5×D3—21no—
83C2×C5×Dic6C2311yescharacteristic
84C2×C3×C4×D5C2311yescharacteristic
85C2×#1204—21no—
86C2×#1203—21no—
87C2×#1200—21no—
88C2×D3×Dic5—21no—
89C2×D5×Dic3—21no—
90D5×D12—22no—
91D5×D12C2×C414yes—
92D5×Dic6—22no—
93D5×Dic6C2×C414yescomplemented
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6714—21no—
98#6712—21no—
99C4×Dic15—21no—
100C4×Dic15C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102#6706C2×C414yescomplemented
103C5×(C2×D3)⋊C4—21no—
104C5×Dic3⋊C4—21no—
105C4×C5×Dic3—21no—
106C4×C5×Dic3C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C5×#204C2×C414yescomplemented
109C3×#685—21no—
110C3×#685—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×C4×Dic5—21no—
114C3×C4×Dic5—21no—
115C2×C3×#168C2311yescharacteristic
116C3×C8×D5C2×C414yescomplemented
117Dic3⋊Dic5—21no—
118#6669—21no—
119#6668D411yescharacteristic
120#6668D411yescharacteristic
121#6667—21no—
122(C2×D3)⋊Dic5—21no—
123#6665D411yescharacteristic
124#6665D411yescharacteristic
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6660C2×C414yescomplemented
128#6659C2×C414yescomplemented
129#6649—22no—
130C22×#204—51no—
131#5521—51no—
132#5516—51no—
133C3×#427—51no—
134#5101—51no—
135#5004—51no—
136#5001—51no—
137#4889—51no—
138#4889—51no—
139#4889—51no—
140#4889—51no—
141#4852—51no—
142#4852—51no—
143#4852—51no—
144#4852D511yescharacteristic, complemented
145C2×Q8×D5—31no—
146C2×D4×D5—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#688—31no—
152D4×Dic5—31no—
153C2×#687—31no—
154C4×C22⋊D5—61no—
155C2×#685—61no—
156D5×SD16—38no—
157C2×#677—31no—
158C2×#676—31no—
159C2×C8×D5C2×D311yescharacteristic
160#4039—31no—
161#4038—61no—
162#4038C2×D311yescharacteristic
163#4038C2×D311yescharacteristic
164#4033—31no—
165#4033—61no—
166#4027—61no—
167D5×C22⋊C4—61no—
168C4×D20—31no—
169#4018—31no—
170#4018—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#106C2×D311yescharacteristic, complemented
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3949C2×D311yescharacteristic, complemented
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3939C2×D311yescharacteristic, complemented
187#3939C2×D311yescharacteristic, complemented
188#3935—31no—
189#2949—151noSylow
190C22×D15—21no—
191C22×C5×D3—21no—
192C22×C3×D5C2×D411yescharacteristic
193C2×D3×D5—24no—
194C2×D3×D5—81no—
195C2×D3×D5—81no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15C2×D411yescharacteristic
201C2×Dic15C2×D411yescharacteristic
202D60—21no—
203D60C22×C412yes—
204C4×D15—81no—
205Dic30—21no—
206Dic30C22×C412yes—
207C2×C5×Dic3—21no—
208C2×C5×Dic3C2×D411yescharacteristic
209C2×C5×Dic3C2×D411yescharacteristic
210C5×D12—21no—
211C5×D12C22×C412yes—
212C4×C5×D3—81no—
213C5×Dic6—21no—
214C5×Dic6C22×C412yes—
215C2×C3×Dic5—21no—
216C2×C3×Dic5—21no—
217C2×C3×Dic5C2×D411yescharacteristic
218C3×C4×D5C22×C412yes—
219C3×C4×D5#4112yes—
220#1204—24no—
221#1203—24no—
222#1200—81no—
223D3×Dic5—81no—
224D5×Dic3—24no—
225C3×C5×C8C22×C412yes—
226C3⋊#168—21no—
227C3×#168C22×C412yes—
228C5×C3⋊C8—21no—
229C22×D12—51no—
230C22×Dic6—51no—
231C22×C3×C8—51no—
232C3×#117—51no—
233C3×#117—51no—
234#926—51no—
235C2×#208—51no—
236C2×#204—51no—
237C2×#204—51no—
238C2×#204—51no—
239C2×#204—58no—
240C2×#204C2×D511yescharacteristic
241#893—51no—
242#893—51no—
243#893—51no—
244#893C2×D511yescharacteristic
245#887—51no—
246#887—51no—
247#887—51no—
248#887C2×D511yescharacteristic, complemented
249D3×C22⋊C4—101no—
250D3×C22⋊C4—101no—
251#877—101no—
252#877—101no—
253C4×D12—101no—
254C4×D12—101no—
255C4×Dic6—101no—
256C4×Dic6—101no—
257C3×#107—51no—
258C3×#107—51no—
259C3×#106—51no—
260C3×#106C2×D511yescharacteristic, complemented
261#815—51no—
262#815—51no—
263C8×Dic3—51no—
264C8×Dic3C2×D511yescharacteristic, complemented
265#810—51no—
266#810—51no—
267#810—51no—
268#810C2×D511yescharacteristic, complemented
269#809—51no—
270#809—51no—
271#809—51no—
272#809C2×D511yescharacteristic
273C23×D5—61no—
274C2×C5×Q8—31no—
275C2×C5×D4—31no—
276C22×C4×C5—61no—
277C2×C22⋊D5—61no—
278C22×Dic5—61no—
279Q8×D5—34no—
280Q8×D5—62no—
281D4×D5—34no—
282D4×D5—62no—
283C2×D20—31no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5C22×D311yescharacteristic
288C2×Dic10—31no—
289C2×Dic10—61no—
290C5×SD16—34no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—61no—
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—61no—
299C22⋊Dic5—61no—
300#688—34no—
301#687—34no—
302#685—21no—
303#685—21no—
304#685—31no—
305#685—31no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—61no—
309C4⋊Dic5C22×D311yescharacteristic
310C4⋊Dic5C22×D311yescharacteristic
311#683—31no—
312#683—31no—
313#683—61no—
314#683—61no—
315C4×Dic5—21no—
316C4×Dic5—21no—
317C4×Dic5—31no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677—34no—
324#676—62no—
325C8×D5C4×D314yescomplemented
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—151no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—31no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—51no—
338#419—151no—
339#418—151no—
340#405—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—22no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5C4×D412yes—
351D3×D5—84no—
352C3×C4×C5—41no—
353C3×C4×C5—41no—
354C3×C4×C5C23×C411yescharacteristic
355C3×C4×C5C2×#4111yescharacteristic
356Dic15—22no—
357Dic15—21no—
358Dic15—21no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C3×Dic5C4×D412yes—
362C5×Dic3—22no—
363C5×Dic3—21no—
364C5×Dic3—21no—
365C23×D3—101no—
366C22×C3×C4—51no—
367C22×Dic3—101no—
368C2×D12—51no—
369C2×D12—54no—
370C2×D12—102no—
371C2×D12—101no—
372C2×D12C22×D511yescharacteristic
373C2×C4×D3—21no—
374C2×C4×D3—101no—
375C2×C4×D3—101no—
376C2×C4×D3—101no—
377C2×Dic6—51no—
378C2×Dic6—54no—
379C2×Dic6—102no—
380C2×Dic6—101no—
381C2×Dic6C22×D511yescharacteristic
382C2×C3×C8—51no—
383C2×C3×C8—54no—
384C2×C3×C8C22×D511yescharacteristic
385C3×C4⋊C4—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C22⋊C4—101no—
390C3×C22⋊C4—101no—
391C3×C42—101no—
392C3×C42—101no—
393#217—51no—
394#217—51no—
395(C2×D3)⋊C4—21no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401Dic3⋊C4—21no—
402Dic3⋊C4—101no—
403Dic3⋊C4—101no—
404Dic3⋊C4—101no—
405C4×Dic3—21no—
406C4×Dic3—51no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3C22×D511yescharacteristic
411#208—102no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8C22×D511yescharacteristic
414#204—54no—
415#204—54no—
416#204—54no—
417#204C4×D514yescomplemented
418C23×C5—61no—
419C22×D5—61no—
420C22×D5—64no—
421C22×D5—241no—
422C22×D5—241no—
423C22×D5D3×D411yescharacteristic
424C5×Q8—32no—
425C5×Q8—61no—
426C5×D4—32no—
427C5×D4—61no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—31no—
431C2×C4×C5—31no—
432C2×C4×C5—61no—
433C2×C4×C5—241no—
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—64no—
436C2×Dic5—21no—
437C2×Dic5—21no—
438C2×Dic5—31no—
439C2×Dic5—31no—
440C2×Dic5—61no—
441C2×Dic5—241no—
442C2×Dic5D3×D411yescharacteristic
443D20—32no—
444D20—61no—
445C4×D5—64no—
446C4×D5—241no—
447C4×D5—241no—
448C4×D5C2×C4×D312yes—
449C4×D5#23912yes—
450Dic10—32no—
451Dic10—61no—
452Dic10—64no—
453C5×C8—61no—
454C5×C8C2×C4×D312yes—
455#168—61no—
456#168C2×C4×D312yes—
457C22×Q8—151no—
458C22×D4—151no—
459C2×SD16—31no—
460C2×SD16—158no—
461C2×SD16—151no—
462C2×SD16—151no—
463C2×SD16—151no—
464C2×M16—151no—
465C22×C8—51no—
466C4×Q8—31no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×Q8—151no—
470C4×Q8—301no—
471C4×Q8—301no—
472C4×D4—31no—
473C4×D4—151no—
474C4×D4—151no—
475C4×D4—151no—
476C4×D4—301no—
477C4×D4—301no—
478#117—51no—
479#117—51no—
480#117—151no—
481#117—301no—
482#117—301no—
483C2×C22⋊C4—301no—
484C2×C22⋊C4—301no—
485#107—51no—
486#107—51no—
487#106—51no—
488#106D3×D511yescharacteristic, complemented
489#103—31no—
490#103—151no—
491#103—151no—
492#103—151no—
493#102—31no—
494#102—151no—
495#102—151no—
496#102—151no—
497#97—151no—
498#97—151no—
499C4×C8—31no—
500C4×C8—151no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—42no—
505C3×D5—22no—
506C5×D3—42no—
507C23×C3—51no—
508C22×D3—21no—
509C22×D3—104no—
510C22×D3—101no—
511C22×D3—401no—
512C22×D3—401no—
513C2×C3×C4—21no—
514C2×C3×C4—21no—
515C2×C3×C4—51no—
516C2×C3×C4—52no—
517C2×C3×C4—52no—
518C2×C3×C4—101no—
519C2×C3×C4—101no—
520C2×C3×C4C23×D511yescharacteristic
521C2×Dic3—21no—
522C2×Dic3—51no—
523C2×Dic3—51no—
524C2×Dic3—104no—
525C2×Dic3—101no—
526C2×Dic3D4×D511yescharacteristic
527C2×Dic3D4×D511yescharacteristic
528D12—21no—
529D12—52no—
530D12—104no—
531D12—101no—
532D12C2×C4×D512yes—
533C4×D3—81no—
534C4×D3—401no—
535C4×D3—401no—
536C4×D3—401no—
537Dic6—21no—
538Dic6—52no—
539Dic6—104no—
540Dic6—101no—
541Dic6C2×C4×D512yes—
542C3×C8—52no—
543C3×C8C2×C4×D512yes—
544C3⋊C8—21no—
545C3⋊C8—101no—
546C22×C5—62no—
547C22×C5—121no—
548C22×C5—121no—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—21no—
551C2×D5—21no—
552C2×D5—62no—
553C2×D5—121no—
554C2×D5—121no—
555C2×D5—244no—
556C2×D5#89312yes—
557C4×C5—41no—
558C4×C5—41no—
559C4×C5—62no—
560C4×C5—61no—
561C4×C5—61no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5C2×#23911yescharacteristic
564Dic5—41no—
565Dic5—41no—
566Dic5—62no—
567Dic5—61no—
568Dic5—61no—
569Dic5#89312yes—
570C24—301no—
571C2×Q8—31no—
572C2×Q8—154no—
573C2×Q8—151no—
574C2×Q8—301no—
575C2×Q8—302no—
576C2×D4—31no—
577C2×D4—154no—
578C2×D4—151no—
579C2×D4—302no—
580C2×D4—301no—
581C22×C4—51no—
582C22×C4—61no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587SD16—34no—
588SD16—154no—
589SD16—154no—
590SD16—154no—
591M16—302no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—54no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—51no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C4⋊C4C2×D3×D511yescharacteristic
606C4⋊C4C2×D3×D511yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—101no—
609C22⋊C4—101no—
610C22⋊C4—151no—
611C22⋊C4—151no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—61no—
617C42—101no—
618C42—101no—
619C42—151no—
620C42—301no—
621C42—301no—
622C42—301no—
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—52no—
625C22×C3—101no—
626C22×C3—101no—
627C22×C3C2×D4×D511yescharacteristic
628C2×D3—22no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—102no—
632C2×D3—201no—
633C2×D3—201no—
634C2×D3—404no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—52no—
638C3×C4—201no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—21no—
643Dic3—21no—
644Dic3—22no—
645Dic3—101no—
646Dic3—101no—
647Dic3—102no—
648C2×C5—122no—
649C2×C5C2×#89311yescharacteristic
650C2×C5#577011yescharacteristic
651C2×C5#577011yescharacteristic
652D5—22no—
653D5—122no—
654C23—51no—
655C23—61no—
656C23—304no—
657C23—301no—
658C23—1201no—
659C23—1201no—
660Q8—32no—
661Q8—61no—
662Q8—152no—
663Q8—304no—
664Q8—301no—
665D4—32no—
666D4—61no—
667D4—152no—
668D4—304no—
669D4—301no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—31no—
673C2×C4—31no—
674C2×C4—51no—
675C2×C4—52no—
676C2×C4—52no—
677C2×C4—61no—
678C2×C4—101no—
679C2×C4—101no—
680C2×C4—151no—
681C2×C4—151no—
682C2×C4—241no—
683C2×C4—304no—
684C2×C4—301no—
685C2×C4—1201no—
686C2×C4—1201no—
687C2×C4—1201no—
688C2×C4C22×D3×D511yescharacteristic
689C8—52no—
690C8—61no—
691C8—301no—
692C8C4×D3×D512yes—
693C2×C3—102no—
694C2×C3C4×D4×D511yescharacteristic
695C2×C3#6609611yescharacteristic
696C2×C3#6610411yescharacteristic
697D3—42no—
698D3—202no—
699C5#7916811yescharacteristic, complemented, Sylow
700C22—52no—
701C22—62no—
702C22—101no—
703C22—101no—
704C22—121no—
705C22—121no—
706C22—302no—
707C22—601no—
708C22—601no—
709C22—1204no—
710C22D3×D4×D511yescharacteristic
711C4—41no—
712C4—41no—
713C4—52no—
714C4—62no—
715C4—61no—
716C4—61no—
717C4—201no—
718C4—201no—
719C4—302no—
720C4—301no—
721C4—301no—
722C4C2×C4×D3×D511yescharacteristic
723C4D5×#23911yescharacteristic
724C3#1061138011yescharacteristic, complemented, Sylow
725C2—102no—
726C2—122no—
727C2—602no—
728C2D5×#89311yescharacteristic
729C2#1175409211yescharacteristic
730C2#1175409511yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC2×D5×D12C22
cosocleC2×C3×C4×C5C24
hypercenter#106D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
3. #11753397C2semidirect
4. #11750953C2semidirect
5. C5×#4852C2semidirect
6. C3×#65149C2semidirect
7. #11747807C2semidirect
8. #11747789C2semidirect
9. #11747645C2semidirect
10. #11747487C2semidirect
12. #11747473C2semidirect
13. #11747280C2semidirect
14. #11747235C2semidirect
15. #11747231C2semidirect
21. #91776C22semidirect
24. C5×#887C22semidirect
38. #91344C22semidirect
39. #91340C22semidirect
44. D5×#204C4semidirect
45. C3×C5×#106C22semidirect
46. C8×Dic15C22semidirect
47. #91094C22semidirect
49. C5×C8×Dic3C22semidirect
50. C5×#810C22semidirect
52. C3×#3949C22semidirect
53. C3×#3939C22semidirect
54. C3×#3939C22semidirect
55. #90974C22semidirect
56. #90972C22semidirect
59. #90954C22semidirect
60. #90953C22semidirect
69. #65149D3semidirect
93. D5×Dic6C2×C4semidirect
102. #6706C2×C4semidirect
108. C5×#204C2×C4semidirect
116. C3×C8×D5C2×C4semidirect
127. #6660C2×C4semidirect
128. #6659C2×C4semidirect
144. #4852D5semidirect
173. C5×#106C2×D3semidirect
180. #3949C2×D3semidirect
186. #3939C2×D3semidirect
187. #3939C2×D3semidirect
248. #887C2×D5semidirect
260. C3×#106C2×D5semidirect
264. C8×Dic3C2×D5semidirect
268. #810C2×D5semidirect
325. C8×D5C4×D3semidirect
417. #204C4×D5semidirect
488. #106D3×D5semidirect
623. C3×C5#2949semidirect
699. C5#79168semidirect
724. C3#10611380semidirect

Maximal subgroups

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

subgroupindex
C2×D5×#2042
#117538372
#117533972
#117509532
C5×#48522
C3×#651492
#117478072
#117477892
#117476452
#117474872
#117474752
#117474732
#117472802
#117472352
#117472312
#106113803
#791685