Finite Group Databasebeta

← #14412539

Subgroups — #14412539

Order 1920.

1544 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×D15C211yesmaximal, characteristic
2C2×M16×D15C211yesmaximal, characteristic, complemented
3C2×#91781C211yesmaximal, characteristic, complemented
4C3×C5×#417C211yesmaximal, characteristic, complemented
5#11751333C211yesmaximal, characteristic, complemented
6#11751234C211yesmaximal, characteristic, complemented
7#11751067C211yesmaximal, characteristic, complemented
8#11750905C212yesmaximal, complemented
9#11750903C212yesmaximal, complemented
10#11750873C212yesmaximal, complemented
11#11750871C212yesmaximal, complemented
12#10610612—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14#41×D15—24no—
15#41×D15C418yescomplemented
16C2×#6821C2211yescharacteristic
17C2×Q8×D15C2211yescharacteristic
18C2×#6819—21no—
19C2×#6819C2211yescharacteristic
20C2×D4×D15—21no—
21C2×D4×D15C2211yescharacteristic
22C2×#6817—21no—
23C2×#6817C2211yescharacteristic
24C22×C4×D15—21no—
25C22×C4×D15C2211yescharacteristic
26C2×C3×C5×M16C2211yescharacteristic, complemented
27C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
28C2×#6714—21no—
29C2×C4⋊Dic15C2211yescharacteristic, complemented
30C2×C4×Dic15—21no—
31C2×#6710C2211yescharacteristic, complemented
32M16×D15—24no—
33C2×#6705C2212yes—
34C2×C8×D15C2212yescomplemented
35#91781—21no—
36#91781—21no—
37#91781C2212yes—
38#91781C2212yescomplemented
39C3×C5×#103C2212yescomplemented
40C3×C5×#102C2212yescomplemented
41#91119C2212yescomplemented
42#91116C2212yescomplemented
43#91105C2212yescomplemented
44#91100C2212yescomplemented
45#91094C2212yescomplemented
46#91093C2212yescomplemented
47#78881—51nomaximal, Hall
48C2×D5×#41—31no—
49C2×D5×M16—31no—
50C2×#4038—31no—
51C5×#417D311yescharacteristic, complemented
52#65521—31no—
53#65422—31no—
54#65255—31no—
55#65093—32no—
56#65091—32no—
57#65061—32no—
58#65059—32no—
59C23×D15—21no—
60C23×D15D411yescharacteristic
61C3×C5×#41—22no—
62C3×C5×#41C2×C414yes—
63C2×C3×C5×Q8C2311yescharacteristic
64C2×C3×C5×D4—21no—
65C2×C3×C5×D4C2311yescharacteristic
66C22×C3×C4×C5—21no—
67C22×C3×C4×C5—21no—
68C22×C3×C4×C5C2311yescharacteristic
69C2×#1220—21no—
70C2×#1220—21no—
71C2×#1220—21no—
72C22×Dic15—21no—
73C22×Dic15—21no—
74C22×Dic15D411yescharacteristic
75#6821—22no—
76#6821C2×C414yescomplemented
77Q8×D15—22no—
78Q8×D15C2×C414yescomplemented
79#6819—28no—
80#6819—22no—
81#6819C2×C414yescomplemented
82D4×D15—28no—
83D4×D15—22no—
84D4×D15C2×C414yescomplemented
85#6817—22no—
86#6817—28no—
87#6817C2×C414yes—
88C2×D60—21no—
89C2×D60C2311yescharacteristic
90C2×C4×D15—21no—
91C2×C4×D15—21no—
92C2×C4×D15—21no—
93C2×C4×D15—28no—
94C2×C4×D15C2×C414yes—
95C2×C4×D15D411yescharacteristic
96C2×C4×D15D411yescharacteristic
97C2×C4×D15D414yes—
98C2×C4×D15C2311yescharacteristic
99C2×C4×D15C2311yescharacteristic
100C2×Dic30—21no—
101C2×Dic30C2311yescharacteristic
102C3×C5×M16—22no—
103C2×C3×C5×C8C2312yes—
104C3×C5×C4⋊C4—21no—
105C3×C5×C4⋊C4C2312yes—
106#6714—22no—
107#6714—22no—
108C4⋊Dic15—21no—
109C4⋊Dic15C2312yes—
110C4×Dic15—22no—
111C4×Dic15—22no—
112#6710—22no—
113C2×C3⋊#168C2312yes—
114#6705—24no—
115C8×D15—24no—
116C2×D3×#41—51no—
117C2×D3×M16—51no—
118C2×#892—51no—
119C3×#417D511yescharacteristic, complemented
120#5232—51no—
121#5133—51no—
122#4966—51no—
123#4804—52no—
124#4802—52no—
125#4772—52no—
126#4770—52no—
127C2×C5×#41C2×D311yescharacteristic
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—31no—
139C22×C4×D5—61no—
140C2×C5×M16C2×D311yescharacteristic, complemented
141C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
142C2×#685—61no—
143C2×C4⋊Dic5—31no—
144C2×C4×Dic5—61no—
145C2×#681—31no—
146D5×M16—64no—
147C2×#676—32no—
148C2×C8×D5—32no—
149#4038—32no—
150#4038—32no—
151#4038—61no—
152#4038—61no—
153C5×#103C2×D312yescomplemented
154C5×#102C2×D312yescomplemented
155#3967—32no—
156#3964—32no—
157#3953—32no—
158#3948—32no—
159#3942—32no—
160#3941—32no—
161#2896—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×D15—21no—
165C22×D15—24no—
166C22×D15—41no—
167C22×D15—41no—
168C22×D15—42no—
169C22×D15—42no—
170C22×D15C22⋊C414yes—
171C22×D15C2×D411yescharacteristic
172C22×D15C2×D411yescharacteristic
173C3×C5×Q8—21no—
174C3×C5×Q8C22×C412yes—
175C3×C5×D4—24no—
176C3×C5×D4—21no—
177C3×C5×D4C22×C412yes—
178C2×C3×C4×C5—21no—
179C2×C3×C4×C5—24no—
180C2×C3×C4×C5—22no—
181C2×C3×C4×C5—42no—
182C2×C3×C4×C5C22×C412yes—
183C2×C3×C4×C5C2×D411yescharacteristic
184C2×C3×C4×C5C2×D412yes—
185C2×C3×C4×C5C2411yescharacteristic
186#1220—24no—
187#1220—24no—
188#1220—24no—
189C2×Dic15—21no—
190C2×Dic15—24no—
191C2×Dic15—22no—
192C2×Dic15—42no—
193C2×Dic15C22⋊C414yes—
194C2×Dic15C2×D411yescharacteristic
195C2×Dic15C2×D411yescharacteristic
196D60—24no—
197D60—21no—
198D60C22×C412yes—
199C4×D15—24no—
200C4×D15—24no—
201C4×D15—24no—
202C4×D15C22⋊C414yes—
203C4×D15C22⋊C414yes—
204C4×D15C22×C412yes—
205C4×D15C22×C412yes—
206C4×D15C2×D412yes—
207C4×D15C2×D412yes—
208Dic30—21no—
209Dic30—24no—
210Dic30C22×C412yes—
211C3×C5×C8—22no—
212C3⋊#168—22no—
213C2×C3×#41C2×D511yescharacteristic
214D3×#41—58no—
215D3×#41—104no—
216C2×#239—51no—
217C2×D3×Q8—51no—
218C2×#237—51no—
219C2×#237—101no—
220C2×D3×D4—51no—
221C2×D3×D4—101no—
222C2×#235—51no—
223C2×#235—101no—
224C22×C4×D3—51no—
225C22×C4×D3—101no—
226C2×C3×M16C2×D511yescharacteristic, complemented
227C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
228C2×(C2×D3)⋊C4—101no—
229C2×C4⋊Dic3—51no—
230C2×C4×Dic3—101no—
231C2×#208—51no—
232D3×M16—104no—
233C2×ΓL(1,𝔽25)—52no—
234C2×D3×C8—52no—
235#892—52no—
236#892—52no—
237#892—101no—
238#892—101no—
239C3×#103C2×D512yescomplemented
240C3×#102C2×D512yescomplemented
241#835—52no—
242#832—52no—
243#821—52no—
244#816—52no—
245#810—52no—
246#809—52no—
247C23×D5—31no—
248C23×D5—61no—
249C5×#41—22no—
250C5×#41C4×D314yes—
251C2×C5×Q8C22×D311yescharacteristic
252C2×C5×D4—21no—
253C2×C5×D4C22×D311yescharacteristic
254C22×C4×C5—21no—
255C22×C4×C5—21no—
256C22×C4×C5C22×D311yescharacteristic
257C2×C22⋊D5—61no—
258C2×C22⋊D5—61no—
259C2×C22⋊D5—61no—
260C22×Dic5—31no—
261C22×Dic5—61no—
262C22×Dic5—61no—
263#713—34no—
264#713—62no—
265Q8×D5—34no—
266Q8×D5—62no—
267#711—34no—
268#711—62no—
269#711—68no—
270D4×D5—34no—
271D4×D5—62no—
272D4×D5—68no—
273#709—34no—
274#709—68no—
275#709—62no—
276C2×D20—31no—
277C2×D20—61no—
278C2×C4×D5—34no—
279C2×C4×D5—31no—
280C2×C4×D5—31no—
281C2×C4×D5—34no—
282C2×C4×D5—31no—
283C2×C4×D5—31no—
284C2×C4×D5—68no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C2×Dic10—61no—
290C5×M16—22no—
291C2×C5×C8C22×D312yes—
292C5×C4⋊C4—21no—
293C5×C4⋊C4C22×D312yes—
294#685—62no—
295#685—62no—
296C4⋊Dic5—32no—
297C4⋊Dic5—61no—
298C4×Dic5—62no—
299C4×Dic5—62no—
300#681—62no—
301C2×#168—32no—
302#676—64no—
303C8×D5—64no—
304C22×#41—151no—
305C22×M16—151no—
306C2×#117—151no—
307#419—152no—
308#418—152no—
309#417—151no—
310#417—151no—
311#417—151no—
312#417D1511yescharacteristic, complemented
313#416—152no—
314#416—152no—
315C22×C3×C5—21no—
316C22×C3×C5—21no—
317C22×C3×C5—22no—
318C22×C3×C5—41no—
319C22×C3×C5—41no—
320C22×C3×C5C2×C22⋊C412yes—
321C22×C3×C5C22×D411yescharacteristic
322C2×D15—21no—
323C2×D15—21no—
324C2×D15—21no—
325C2×D15—21no—
326C2×D15—22no—
327C2×D15—44no—
328C2×D15—48no—
329C2×D15—41no—
330C2×D15—41no—
331C2×D15C2×C22⋊C412yes—
332C2×D15C2×C22⋊C412yes—
333C3×C4×C5—22no—
334C3×C4×C5—42no—
335C3×C4×C5C2×C22⋊C412yes—
336C3×C4×C5C23×C411yescharacteristic
337C3×C4×C5C22×D411yescharacteristic
338Dic15—22no—
339Dic15—42no—
340Dic15C2×C22⋊C412yes—
341Dic15C2×C22⋊C412yes—
342C23×D3—51no—
343C23×D3—101no—
344C3×#41—22no—
345C3×#41C4×D514yes—
346C2×C3×Q8C22×D511yescharacteristic
347C2×C3×D4—21no—
348C2×C3×D4C22×D511yescharacteristic
349C22×C3×C4—21no—
350C22×C3×C4—21no—
351C22×C3×C4C22×D511yescharacteristic
352C2×#67—101no—
353C2×#67—101no—
354C2×#67—101no—
355C22×Dic3—51no—
356C22×Dic3—101no—
357C22×Dic3—101no—
358#239—54no—
359#239—102no—
360D3×Q8—54no—
361D3×Q8—102no—
362#237—54no—
363#237—102no—
364#237—108no—
365D3×D4—54no—
366D3×D4—102no—
367D3×D4—108no—
368#235—54no—
369#235—108no—
370#235—102no—
371C2×D12—51no—
372C2×D12—101no—
373C2×C4×D3—54no—
374C2×C4×D3—51no—
375C2×C4×D3—51no—
376C2×C4×D3—54no—
377C2×C4×D3—51no—
378C2×C4×D3—51no—
379C2×C4×D3—108no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×C4×D3—101no—
383C2×Dic6—51no—
384C2×Dic6—101no—
385C3×M16—22no—
386C2×C3×C8C22×D512yes—
387C3×C4⋊C4—21no—
388C3×C4⋊C4C22×D512yes—
389(C2×D3)⋊C4—102no—
390(C2×D3)⋊C4—102no—
391C4⋊Dic3—52no—
392C4⋊Dic3—101no—
393C4×Dic3—102no—
394C4×Dic3—102no—
395#208—102no—
396C2×C3⋊C8—52no—
397ΓL(1,𝔽25)—104no—
398D3×C8—104no—
399C23×C5—21no—
400C23×C5D3×D411yescharacteristic
401C22×D5—31no—
402C22×D5—31no—
403C22×D5—34no—
404C22×D5—64no—
405C22×D5—61no—
406C22×D5—121no—
407C22×D5—121no—
408C22×D5—122no—
409C22×D5—122no—
410C5×Q8—21no—
411C5×Q8C2×C4×D312yes—
412C5×D4—24no—
413C5×D4—21no—
414C5×D4C2×C4×D312yes—
415C2×C4×C5—21no—
416C2×C4×C5—24no—
417C2×C4×C5—22no—
418C2×C4×C5—42no—
419C2×C4×C5C2×C4×D312yes—
420C2×C4×C5D3×D411yescharacteristic
421C2×C4×C5D3×D412yes—
422C2×C4×C5C23×D311yescharacteristic
423C22⋊D5—64no—
424C22⋊D5—64no—
425C22⋊D5—64no—
426C2×Dic5—34no—
427C2×Dic5—31no—
428C2×Dic5—31no—
429C2×Dic5—64no—
430C2×Dic5—61no—
431C2×Dic5—62no—
432C2×Dic5—122no—
433D20—32no—
434D20—64no—
435D20—61no—
436C4×D5—34no—
437C4×D5—34no—
438C4×D5—32no—
439C4×D5—32no—
440C4×D5—32no—
441C4×D5—32no—
442C4×D5—64no—
443C4×D5—64no—
444C4×D5—64no—
445Dic10—32no—
446Dic10—64no—
447Dic10—61no—
448C5×C8—22no—
449#168—62no—
450C2×#41—158no—
451C2×#41—151no—
452C2×#41—151no—
453C2×#41—151no—
454C2×#41—301no—
455C2×#41—301no—
456C2×#41—304no—
457C2×#41C2×D1511yescharacteristic
458C22×Q8—151no—
459C22×D4—151no—
460C22×D4—301no—
461C23×C4—151no—
462C23×C4—301no—
463C2×M16—151no—
464C2×M16—152no—
465C2×M16—304no—
466C2×M16C2×D1511yescharacteristic, complemented
467C22×C8—152no—
468#117—152no—
469#117—152no—
470#117—301no—
471#117—301no—
472C2×C4⋊C4—151no—
473C2×C4⋊C4C2×D1511yescharacteristic, complemented
474C2×C22⋊C4—301no—
475C2×C42—301no—
476#103—152no—
477#103—152no—
478#103—152no—
479#103C2×D1512yescomplemented
480#102—152no—
481#102—152no—
482#102—152no—
483#102C2×D1512yescomplemented
484C2×C3×C5—22no—
485C2×C3×C5—42no—
486C2×C3×C5C22×C22⋊C411yescharacteristic
487C2×C3×C5#57511yescharacteristic
488C2×C3×C5#57511yescharacteristic
489D15—22no—
490D15—22no—
491D15—42no—
492C23×C3—21no—
493C23×C3D4×D511yescharacteristic
494C22×D3—51no—
495C22×D3—51no—
496C22×D3—54no—
497C22×D3—104no—
498C22×D3—101no—
499C22×D3—201no—
500C22×D3—201no—
501C22×D3—202no—
502C22×D3—202no—
503C3×Q8—21no—
504C3×Q8C2×C4×D512yes—
505C3×D4—24no—
506C3×D4—21no—
507C3×D4C2×C4×D512yes—
508C2×C3×C4—21no—
509C2×C3×C4—24no—
510C2×C3×C4—22no—
511C2×C3×C4—42no—
512C2×C3×C4C2×C4×D512yes—
513C2×C3×C4D4×D512yes—
514C2×C3×C4D4×D511yescharacteristic
515C2×C3×C4C23×D511yescharacteristic
516#67—104no—
517#67—104no—
518#67—104no—
519C2×Dic3—51no—
520C2×Dic3—51no—
521C2×Dic3—54no—
522C2×Dic3—104no—
523C2×Dic3—101no—
524C2×Dic3—102no—
525C2×Dic3—202no—
526D12—52no—
527D12—104no—
528D12—101no—
529C4×D3—52no—
530C4×D3—52no—
531C4×D3—52no—
532C4×D3—52no—
533C4×D3—54no—
534C4×D3—54no—
535C4×D3—104no—
536C4×D3—104no—
537C4×D3—104no—
538Dic6—52no—
539Dic6—104no—
540Dic6—101no—
541C3×C8—22no—
542C3⋊C8—102no—
543C22×C5—21no—
544C22×C5—21no—
545C22×C5—22no—
546C22×C5—41no—
547C22×C5—41no—
548C22×C5D3×C22⋊C412yes—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—32no—
551C2×D5—32no—
552C2×D5—61no—
553C2×D5—61no—
554C2×D5—61no—
555C2×D5—61no—
556C2×D5—62no—
557C2×D5—124no—
558C2×D5—128no—
559C2×D5—121no—
560C2×D5—121no—
561C4×C5—22no—
562C4×C5—42no—
563C4×C5D3×C22⋊C412yes—
564C4×C5C22×C4×D311yescharacteristic
565C4×C5C2×D3×D411yescharacteristic
566Dic5—32no—
567Dic5—32no—
568Dic5—62no—
569Dic5—122no—
570C24—151no—
571C24—301no—
572#41—22no—
573#41—154no—
574#41—154no—
575#41—154no—
576#41—308no—
577#41—308no—
578#41—302no—
579#41—302no—
580#41—302no—
581#41C4×D1514yes—
582C2×Q8—154no—
583C2×Q8—151no—
584C2×Q8—301no—
585C2×Q8—302no—
586C2×Q8C22×D1511yescharacteristic
587C2×D4—21no—
588C2×D4—154no—
589C2×D4—151no—
590C2×D4—301no—
591C2×D4—302no—
592C2×D4—301no—
593C2×D4—308no—
594C2×D4—301no—
595C2×D4—301no—
596C2×D4C22×D1511yescharacteristic
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—151no—
600C22×C4—154no—
601C22×C4—151no—
602C22×C4—151no—
603C22×C4—154no—
604C22×C4—151no—
605C22×C4—151no—
606C22×C4—301no—
607C22×C4—308no—
608C22×C4—301no—
609C22×C4—301no—
610C22×C4—301no—
611C22×C4—301no—
612C22×C4C22×D1511yescharacteristic
613M16—22no—
614M16—304no—
615M16—302no—
616C2×C8—152no—
617C2×C8—304no—
618C2×C8C22×D1512yes—
619C4⋊C4—21no—
620C4⋊C4—152no—
621C4⋊C4—301no—
622C4⋊C4C22×D1512yes—
623C22⋊C4—302no—
624C22⋊C4—302no—
625C42—302no—
626C42—302no—
627C3×C5#289611yescharacteristic, complemented, Hall
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—22no—
631C22×C3—41no—
632C22×C3—41no—
633C22×C3D5×C22⋊C412yes—
634C22×C3C2×D4×D511yescharacteristic
635C2×D3—52no—
636C2×D3—52no—
637C2×D3—101no—
638C2×D3—101no—
639C2×D3—101no—
640C2×D3—101no—
641C2×D3—102no—
642C2×D3—204no—
643C2×D3—208no—
644C2×D3—201no—
645C2×D3—201no—
646C3×C4—22no—
647C3×C4—42no—
648C3×C4D5×C22⋊C412yes—
649C3×C4C22×C4×D511yescharacteristic
650C3×C4C2×D4×D511yescharacteristic
651Dic3—52no—
652Dic3—52no—
653Dic3—102no—
654Dic3—202no—
655C2×C5—22no—
656C2×C5—42no—
657C2×C5C2×D3×C22⋊C411yescharacteristic
658C2×C5#577311yescharacteristic
659C2×C5#577711yescharacteristic
660D5—62no—
661D5—62no—
662D5—122no—
663C23—21no—
664C23—151no—
665C23—151no—
666C23—154no—
667C23—304no—
668C23—301no—
669C23—601no—
670C23—601no—
671C23—602no—
672C23—602no—
673C23D4×D1511yescharacteristic
674Q8—21no—
675Q8—152no—
676Q8—304no—
677Q8—301no—
678Q8C2×C4×D1512yes—
679D4—24no—
680D4—21no—
681D4—152no—
682D4—304no—
683D4—304no—
684D4—304no—
685D4—304no—
686D4—301no—
687D4C2×C4×D1512yes—
688C2×C4—21no—
689C2×C4—24no—
690C2×C4—22no—
691C2×C4—42no—
692C2×C4—154no—
693C2×C4—151no—
694C2×C4—151no—
695C2×C4—154no—
696C2×C4—154no—
697C2×C4—152no—
698C2×C4—152no—
699C2×C4—152no—
700C2×C4—152no—
701C2×C4—304no—
702C2×C4—304no—
703C2×C4—304no—
704C2×C4—301no—
705C2×C4—304no—
706C2×C4—302no—
707C2×C4—602no—
708C2×C4C2×C4×D1512yes—
709C2×C4D4×D1511yescharacteristic
710C2×C4D4×D1512yes—
711C2×C4C23×D1511yescharacteristic
712C8—22no—
713C8—302no—
714C2×C3—22no—
715C2×C3—42no—
716C2×C3C2×D5×C22⋊C411yescharacteristic
717C2×C3#6610711yescharacteristic
718C2×C3#6611111yescharacteristic
719D3—102no—
720D3—102no—
721D3—202no—
722C5#7888111yescharacteristic, complemented, Sylow
723C22—21no—
724C22—21no—
725C22—22no—
726C22—41no—
727C22—41no—
728C22—152no—
729C22—152no—
730C22—301no—
731C22—301no—
732C22—301no—
733C22—301no—
734C22—302no—
735C22—604no—
736C22—608no—
737C22—601no—
738C22—601no—
739C22C22⋊C4×D1512yes—
740C22C2×D4×D1511yescharacteristic
741C4—22no—
742C4—42no—
743C4—152no—
744C4—152no—
745C4—302no—
746C4—602no—
747C4C22⋊C4×D1512yes—
748C4C22×C4×D1511yescharacteristic
749C4C2×D4×D1511yescharacteristic
750C3#1061061211yescharacteristic, complemented, Sylow
751C2—22no—
752C2—42no—
753C2—302no—
754C2—302no—
755C2—602no—
756C2C2×C22⋊C4×D1511yescharacteristic
757C2#1175653211yescharacteristic
758C2#1175653611yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C23×D15
FittingC3×C5×#417C2
socleC22×C3×C5C22×D4
prime radicalC2×#41×D15C2
cosocleC2×C3×C4×C5C24
hypercenter#417D15
hypocenterC3×C5#2896
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #417

Complements

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

NH ≅ G/Ntype
2. C2×M16×D15C2semidirect
3. C2×#91781C2semidirect
4. C3×C5×#417C2semidirect
5. #11751333C2semidirect
6. #11751234C2semidirect
7. #11751067C2semidirect
8. #11750905C2semidirect
9. #11750903C2semidirect
10. #11750873C2semidirect
11. #11750871C2semidirect
15. #41×D15C4semidirect
26. C2×C3×C5×M16C22semidirect
27. C2×C3×C5×C4⋊C4C22semidirect
29. C2×C4⋊Dic15C22semidirect
31. C2×#6710C22semidirect
34. C2×C8×D15C22semidirect
38. #91781C22semidirect
39. C3×C5×#103C22semidirect
40. C3×C5×#102C22semidirect
41. #91119C22semidirect
42. #91116C22semidirect
43. #91105C22semidirect
44. #91100C22semidirect
45. #91094C22semidirect
46. #91093C22semidirect
51. C5×#417D3semidirect
76. #6821C2×C4semidirect
78. Q8×D15C2×C4semidirect
81. #6819C2×C4semidirect
84. D4×D15C2×C4semidirect
119. C3×#417D5semidirect
140. C2×C5×M16C2×D3semidirect
141. C2×C5×C4⋊C4C2×D3semidirect
153. C5×#103C2×D3semidirect
154. C5×#102C2×D3semidirect
226. C2×C3×M16C2×D5semidirect
227. C2×C3×C4⋊C4C2×D5semidirect
239. C3×#103C2×D5semidirect
240. C3×#102C2×D5semidirect
312. #417D15semidirect
466. C2×M16C2×D15semidirect
473. C2×C4⋊C4C2×D15semidirect
479. #103C2×D15semidirect
483. #102C2×D15semidirect
627. C3×C5#2896semidirect
722. C5#78881semidirect
750. C3#10610612semidirect

Maximal subgroups

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

subgroupindex
C2×#41×D152
C2×M16×D152
C2×#917812
C3×C5×#4172
#117513332
#117512342
#117510672
#117509052
#117509032
#117508732
#117508712
#106106123
#788815