Finite Group Databasebeta

← #14417465

Subgroups — #14417465

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×D3×#677C211yesmaximal, characteristic
2#11752727C211yesmaximal, characteristic
3#11752523C211yesmaximal, characteristic, complemented
4#11750811C211yesmaximal, characteristic, complemented
5C5×#4708C211yesmaximal, characteristic, complemented
6C3×#64999C211yesmaximal, characteristic, complemented
7#11748123C211yesmaximal, characteristic, complemented
8#11748107C211yesmaximal, characteristic
9#11747830C211yesmaximal, characteristic, complemented
10#11747800C211yesmaximal, characteristic, complemented
11#11747795C211yesmaximal, characteristic, complemented
12#11747739C211yesmaximal, characteristic, complemented
13#11747682C211yesmaximal, characteristic, complemented
14C4×#6658C211yesmaximal, characteristic, complemented
15C4×#6657C211yesmaximal, characteristic, complemented
16#10610303—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C2×D3×Dic10C2211yescharacteristic
19C2×#6706C2211yescharacteristic
20C4×D60C2211yescharacteristic
21C4×Dic30C2211yescharacteristic, complemented
22C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
23C2×C5×D3×C8C2211yescharacteristic
24C5×#872C2211yescharacteristic
25C2×C3×#677C2211yescharacteristic
26C3×C4×D20C2211yescharacteristic
27C3×C4×Dic10C2211yescharacteristic, complemented
28#91473—21no—
29D5×(C2×D3)⋊C4—21no—
30#91444—21no—
31#91428C2211yescharacteristic
32Dic3×D20C2211yescharacteristic
33#91400—21no—
34#91398—21no—
35#91396—21no—
36#91340C2211yescharacteristic, complemented
37#91338C2211yescharacteristic
38#91338C2211yescharacteristic
39Dic3×Dic10C2211yescharacteristic, complemented
40#91325—21no—
41#91323—21no—
42C2×#6658C2211yescharacteristic
43C2×#6657C2211yescharacteristic
44D3×#677C418yescomplemented
45C3×C5×#97C2211yescharacteristic, complemented
46#91105C2211yescharacteristic
47#91102C2211yescharacteristic, complemented
48#91100C2211yescharacteristic, complemented
49C5×#815C2211yescharacteristic, complemented
50C5×C8×Dic3C2211yescharacteristic, complemented
51C4×C5×C3⋊C8C2211yescharacteristic, complemented
52C3×#3953C2211yescharacteristic
53C3×#3950C2211yescharacteristic, complemented
54C3×#3948C2211yescharacteristic, complemented
55#90987C2211yescharacteristic, complemented
56#90987C2211yescharacteristic, complemented
57#90974C2211yescharacteristic, complemented
58#90971C2211yescharacteristic, complemented
59#90968C2211yescharacteristic
60#90965C2211yescharacteristic
61#79777—51nomaximal, Hall
62C22×#677—31no—
63#65855—31no—
64#65850—31no—
65C5×#405—31no—
66#65420—31no—
67#65409—31no—
68#65395—31no—
69#64999—31no—
70#64999—31no—
71#64999—31no—
72#64999D311yescharacteristic, complemented
73C4×#677—31no—
74C4×#677—31no—
75C4×#677—31no—
76C4×#677—31no—
77C22×D3×D5—21no—
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C2×Dic30C2311yescharacteristic
81C2×C4×C5×D3C2311yescharacteristic
82C2×C3×D20C2311yescharacteristic
83C2×C3×C4×D5—21no—
84C2×C3×Dic10C2311yescharacteristic
85C2×#1204—21no—
86C2×#1202—21no—
87C2×#1200—21no—
88C2×D3×Dic5—21no—
89C2×D5×Dic3—21no—
90D3×D20—22no—
91D3×D20C2×C414yes—
92D3×Dic10—22no—
93D3×Dic10C2×C414yescomplemented
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C42×C5C2311yescharacteristic
97#6714—21no—
98C4⋊Dic15C2311yescharacteristic
99C4⋊Dic15C2311yescharacteristic
100#6712—21no—
101C4×Dic15—21no—
102#6706C2×C414yescomplemented
103C5×(C2×D3)⋊C4D411yescharacteristic
104C5×(C2×D3)⋊C4D411yescharacteristic
105C5×Dic3⋊C4D411yescharacteristic
106C5×Dic3⋊C4D411yescharacteristic
107C4×C5×Dic3C2311yescharacteristic
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C5×ΓL(1,𝔽25)—22no—
111C5×D3×C8C2×C414yescomplemented
112C3×#685—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4⋊Dic5C2311yescharacteristic
115C3×#683—21no—
116C3×C4×Dic5—21no—
117C3×#677C2×C414yescomplemented
118#6669—21no—
119#6668—21no—
120#6667—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123#6665—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128#6658C2×C414yescomplemented
129#6657C2×C414yescomplemented
130C2×D3×SD16—51no—
131#5572—51no—
132#5545—51no—
133C3×#440—51no—
134#5164—51no—
135C4×#215—51no—
136C4×#214—51no—
137#4889—51no—
138#4880—51no—
139#4802—51no—
140#4788—51no—
141#4770—51no—
142#4758—51no—
143#4710—51no—
144#4708D511yescharacteristic, complemented
145C22×D20—31no—
146C22×Dic10—31no—
147C2×C5×M16—31no—
148C22×C5×C8—31no—
149C5×#117—31no—
150#4072—31no—
151#4072—31no—
152C2×#677—31no—
153C2×#677—31no—
154C2×#677—31no—
155C2×#677—38no—
156C2×#677C2×D311yescharacteristic
157#4039—61no—
158#4039—61no—
159#4033—61no—
160#4033—61no—
161D5×C22⋊C4—61no—
162D5×C22⋊C4—61no—
163#4023—61no—
164#4023—61no—
165C4×D20—31no—
166C4×D20—31no—
167C4×D20—31no—
168C4×D20C2×D311yescharacteristic
169C4×Dic10—31no—
170C4×Dic10—31no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic, complemented
173C5×#97—31no—
174C5×#97C2×D311yescharacteristic, complemented
175C4×C5×C8—31no—
176C4×C5×C8—31no—
177#3953—31no—
178#3953—31no—
179#3953—31no—
180#3953C2×D311yescharacteristic
181#3950—31no—
182#3950C2×D311yescharacteristic, complemented
183#3949—31no—
184#3949—31no—
185#3948—31no—
186#3948—31no—
187#3948—31no—
188#3948C2×D311yescharacteristic, complemented
189#2949—151noSylow
190C22×D15—21no—
191C22×C5×D3C2×D411yescharacteristic
192C22×C3×D5—21no—
193C2×D3×D5—24no—
194C2×D3×D5—81no—
195C2×D3×D5—81no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—21no—
202D60—21no—
203D60C22×C412yes—
204C4×D15—81no—
205Dic30—21no—
206Dic30C22×C412yes—
207C2×C5×Dic3C2×D411yescharacteristic
208C2×C5×Dic3C2×D411yescharacteristic
209C2×C5×Dic3C2×D411yescharacteristic
210C4×C5×D3C22×C412yes—
211C4×C5×D3#4112yes—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—21no—
214C2×C3×Dic5—21no—
215C3×D20—21no—
216C3×D20C22×C412yes—
217C3×C4×D5—81no—
218C3×Dic10—21no—
219C3×Dic10C22×C412yes—
220#1204—24no—
221#1202—24no—
222#1200—81no—
223D3×Dic5—24no—
224D5×Dic3—81no—
225C3×C5×C8—21no—
226C3×C5×C8C22×C412yes—
227C5×C3⋊C8—21no—
228C5×C3⋊C8C22×C412yes—
229C2×D3×Q8—51no—
230C2×D3×D4—51no—
231C2×C3×SD16—51no—
232C3×C4×Q8—51no—
233C3×C4×D4—51no—
234Q8×Dic3—51no—
235C2×#215—51no—
236D4×Dic3—51no—
237C2×#214—51no—
238C4×#67—101no—
239C2×(C2×D3)⋊C4—101no—
240D3×SD16—58no—
241C2×#204—51no—
242C2×ΓL(1,𝔽25)C2×D511yescharacteristic
243C2×D3×C8C2×D511yescharacteristic
244#893—51no—
245#892—51no—
246#892—51no—
247#892—101no—
248#887—51no—
249#887—101no—
250#67⋊C4—101no—
251D3×C22⋊C4—101no—
252C4×D12—51no—
253#872—101no—
254#872C2×D511yescharacteristic
255C4×Dic6—51no—
256C4×Dic6—101no—
257C3×#107—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×#97C2×D511yescharacteristic, complemented
261#835—51no—
262#832—51no—
263#821—51no—
264#818—51no—
265#816—51no—
266#815C2×D511yescharacteristic, complemented
267C8×Dic3C2×D511yescharacteristic, complemented
268#810—51no—
269#809—51no—
270#808—51no—
271#808—51no—
272C4×C3⋊C8C2×D511yescharacteristic, complemented
273C23×D5—61no—
274C22×C4×C5—31no—
275C22×Dic5—61no—
276C2×D20—31no—
277C2×D20—34no—
278C2×D20—62no—
279C2×D20—61no—
280C2×D20C22×D311yescharacteristic
281C2×C4×D5—21no—
282C2×C4×D5—61no—
283C2×C4×D5—61no—
284C2×C4×D5—61no—
285C2×Dic10—31no—
286C2×Dic10—34no—
287C2×Dic10—62no—
288C2×Dic10—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×M16—62no—
291C2×C5×C8—31no—
292C2×C5×C8—34no—
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C2×C5×C8C22×D311yescharacteristic
296C5×C4⋊C4—31no—
297C5×C4⋊C4—31no—
298C5×C22⋊C4—31no—
299C5×C22⋊C4—31no—
300C42×C5—31no—
301C42×C5C22×D311yescharacteristic
302C22⋊Dic5—61no—
303C22⋊Dic5—61no—
304#685—21no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5C22×D311yescharacteristic
311C4⋊Dic5C22×D311yescharacteristic
312#683—21no—
313#683—61no—
314#683—61no—
315#683—61no—
316C4×Dic5—21no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5—61no—
322#677—34no—
323#677—34no—
324#677—34no—
325#677C4×D314yescomplemented
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—51no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—151no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—151no—
338#419—151no—
339#418—151no—
340#405—31no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—21no—
346C2×C5×D3—21no—
347C2×C5×D3C4×D412yes—
348C2×C3×D5—22no—
349C2×C3×D5—41no—
350C2×C3×D5—41no—
351D3×D5—84no—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5C23×C411yescharacteristic
355C3×C4×C5C2×#4111yescharacteristic
356Dic15—22no—
357Dic15—41no—
358Dic15—41no—
359C3×Dic5—22no—
360C3×Dic5—41no—
361C3×Dic5—41no—
362C5×Dic3—21no—
363C5×Dic3—21no—
364C5×Dic3C4×D412yes—
365C23×D3—101no—
366C2×C3×Q8—51no—
367C2×C3×D4—51no—
368C22×C3×C4—101no—
369C2×#67—101no—
370C22×Dic3—101no—
371D3×Q8—54no—
372D3×Q8—102no—
373D3×D4—54no—
374D3×D4—102no—
375C2×D12—51no—
376C2×C4×D3—101no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3C22×D511yescharacteristic
380C2×Dic6—51no—
381C2×Dic6—101no—
382C3×SD16—54no—
383C2×C3×C8C22×D511yescharacteristic
384C2×C3×C8C22×D511yescharacteristic
385C3×C4⋊C4—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C22⋊C4—101no—
389C3×C42—101no—
390C3×C42C22×D511yescharacteristic
391#217—101no—
392#215—54no—
393#214—54no—
394(C2×D3)⋊C4—101no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4D2011yescharacteristic
399(C2×D3)⋊C4D2011yescharacteristic
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3—101no—
403Dic3⋊C4—101no—
404Dic3⋊C4—101no—
405Dic3⋊C4D2011yescharacteristic
406Dic3⋊C4D2011yescharacteristic
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3C22×D511yescharacteristic
413C2×C3⋊C8C22×D511yescharacteristic
414C2×C3⋊C8C22×D511yescharacteristic
415#204—54no—
416ΓL(1,𝔽25)—22no—
417D3×C8C4×D514yescomplemented
418C23×C5—31no—
419C22×D5—21no—
420C22×D5—64no—
421C22×D5—61no—
422C22×D5—241no—
423C22×D5—241no—
424C2×C4×C5—31no—
425C2×C4×C5—32no—
426C2×C4×C5—32no—
427C2×C4×C5—31no—
428C2×C4×C5—31no—
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5D3×D411yescharacteristic
431C2×C4×C5C23×D311yescharacteristic
432C2×Dic5—21no—
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—64no—
436C2×Dic5—61no—
437C2×Dic5—61no—
438C2×Dic5—61no—
439D20—21no—
440D20—32no—
441D20—64no—
442D20—61no—
443D20C2×C4×D312yes—
444C4×D5—81no—
445C4×D5—241no—
446C4×D5—241no—
447C4×D5—241no—
448Dic10—21no—
449Dic10—32no—
450Dic10—64no—
451Dic10—61no—
452Dic10C2×C4×D312yes—
453C5×C8—21no—
454C5×C8—32no—
455C5×C8—61no—
456C5×C8C2×C4×D312yes—
457C22×Q8—151no—
458C22×D4—151no—
459C2×SD16—51no—
460C2×SD16—158no—
461C2×SD16—151no—
462C2×SD16—151no—
463C2×SD16—151no—
464C2×M16—31no—
465C22×C8—31no—
466C4×Q8—51no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×Q8—151no—
470C4×Q8—301no—
471C4×Q8—301no—
472C4×D4—51no—
473C4×D4—151no—
474C4×D4—151no—
475C4×D4—151no—
476C4×D4—301no—
477C4×D4—301no—
478#117—31no—
479#117—151no—
480#117—151no—
481#117—301no—
482#117—301no—
483C2×C22⋊C4—301no—
484C2×C22⋊C4—301no—
485#107—51no—
486#107—151no—
487#106—151no—
488#106—151no—
489#103—51no—
490#103—151no—
491#103—151no—
492#103—151no—
493#102—51no—
494#102—151no—
495#102—151no—
496#102—151no—
497#97—31no—
498#97D3×D511yescharacteristic, complemented
499C4×C8—31no—
500C4×C8—31no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—42no—
505C3×D5—42no—
506C5×D3—22no—
507C23×C3—101no—
508C22×D3—101no—
509C22×D3—104no—
510C22×D3—401no—
511C22×D3—401no—
512C22×D3C2×D2011yescharacteristic
513C3×Q8—52no—
514C3×Q8—101no—
515C3×D4—52no—
516C3×D4—101no—
517C2×C3×C4—101no—
518C2×C3×C4—101no—
519C2×C3×C4—101no—
520C2×C3×C4—401no—
521C2×C3×C4C2×D2011yescharacteristic
522C2×C3×C4C2×D2011yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—104no—
525C2×Dic3—101no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528C2×Dic3—401no—
529C2×Dic3C2×D2011yescharacteristic
530C2×Dic3C2×D2011yescharacteristic
531C2×Dic3C2×D2011yescharacteristic
532D12—52no—
533D12—101no—
534C4×D3—104no—
535C4×D3—401no—
536C4×D3—401no—
537C4×D3C2×C4×D512yes—
538C4×D3#70912yes—
539Dic6—52no—
540Dic6—101no—
541Dic6—104no—
542C3×C8—21no—
543C3×C8C2×C4×D512yes—
544C3⋊C8—21no—
545C3⋊C8C2×C4×D512yes—
546C22×C5—32no—
547C22×C5—61no—
548C22×C5—61no—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—22no—
551C2×D5—41no—
552C2×D5—41no—
553C2×D5—62no—
554C2×D5—121no—
555C2×D5—121no—
556C2×D5—244no—
557C4×C5—21no—
558C4×C5—21no—
559C4×C5—32no—
560C4×C5—61no—
561C4×C5—61no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5D3×#4111yescharacteristic
564Dic5—22no—
565Dic5—41no—
566Dic5—41no—
567Dic5—62no—
568Dic5—121no—
569Dic5—121no—
570C24—301no—
571C2×Q8—51no—
572C2×Q8—154no—
573C2×Q8—151no—
574C2×Q8—301no—
575C2×Q8—302no—
576C2×D4—51no—
577C2×D4—154no—
578C2×D4—151no—
579C2×D4—302no—
580C2×D4—301no—
581C22×C4—31no—
582C22×C4—101no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587SD16—54no—
588SD16—154no—
589SD16—154no—
590SD16—154no—
591M16—62no—
592C2×C8—31no—
593C2×C8—34no—
594C2×C8—31no—
595C2×C8C2×D3×D511yescharacteristic
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—51no—
600C4⋊C4—51no—
601C4⋊C4—101no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C22⋊C4—31no—
608C22⋊C4—31no—
609C22⋊C4—101no—
610C22⋊C4—301no—
611C22⋊C4—301no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—101no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42C2×D3×D511yescharacteristic
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—102no—
625C22×C3—201no—
626C22×C3—201no—
627C22×C3C22×D2011yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—102no—
631C2×D3—201no—
632C2×D3—201no—
633C2×D3—404no—
634C2×D3C4×D2012yes—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—102no—
638C3×C4—201no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4C2×#70911yescharacteristic
642Dic3—21no—
643Dic3—21no—
644Dic3—102no—
645Dic3—201no—
646Dic3—201no—
647Dic3C4×D2012yes—
648C2×C5—62no—
649C2×C5C4×D3×D411yescharacteristic
650C2×C5#577511yescharacteristic
651C2×C5#577811yescharacteristic
652D5—42no—
653D5—122no—
654C23—31no—
655C23—101no—
656C23—304no—
657C23—301no—
658C23—1201no—
659C23—1201no—
660Q8—52no—
661Q8—101no—
662Q8—152no—
663Q8—304no—
664Q8—301no—
665D4—52no—
666D4—101no—
667D4—152no—
668D4—304no—
669D4—301no—
670C2×C4—31no—
671C2×C4—32no—
672C2×C4—32no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—101no—
676C2×C4—101no—
677C2×C4—101no—
678C2×C4—304no—
679C2×C4—301no—
680C2×C4—301no—
681C2×C4—301no—
682C2×C4—401no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4—1201no—
686C2×C4D3×D2011yescharacteristic
687C2×C4D3×D2011yescharacteristic
688C2×C4C22×D3×D511yescharacteristic
689C8—21no—
690C8—32no—
691C8—61no—
692C8C4×D3×D512yes—
693C2×C3—202no—
694C2×C3C2×C4×D2011yescharacteristic
695C2×C3#6608511yescharacteristic
696C2×C3#6608511yescharacteristic
697D3—22no—
698D3—202no—
699C5#7977711yescharacteristic, complemented, Sylow
700C22—32no—
701C22—61no—
702C22—61no—
703C22—102no—
704C22—201no—
705C22—201no—
706C22—302no—
707C22—601no—
708C22—601no—
709C22—1204no—
710C22C2×D3×D2011yescharacteristic
711C4—21no—
712C4—21no—
713C4—32no—
714C4—61no—
715C4—61no—
716C4—102no—
717C4—201no—
718C4—201no—
719C4—302no—
720C4—601no—
721C4—601no—
722C4C2×C4×D3×D511yescharacteristic
723C4D3×#70911yescharacteristic
724C3#1061030311yescharacteristic, complemented, Sylow
725C2—62no—
726C2—202no—
727C2—602no—
728C2C4×D3×D2011yescharacteristic
729C2#1175403011yescharacteristic
730C2#1175403211yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#97C22
socleC22×C3×C5C22×D4
prime radicalC2×D3×D20C22
cosocleC2×C3×C4×C5C24
hypercenter#97D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #97

Complements

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

NH ≅ G/Ntype
3. #11752523C2semidirect
4. #11750811C2semidirect
5. C5×#4708C2semidirect
6. C3×#64999C2semidirect
7. #11748123C2semidirect
9. #11747830C2semidirect
10. #11747800C2semidirect
11. #11747795C2semidirect
12. #11747739C2semidirect
13. #11747682C2semidirect
14. C4×#6658C2semidirect
15. C4×#6657C2semidirect
21. C4×Dic30C22semidirect
27. C3×C4×Dic10C22semidirect
36. #91340C22semidirect
39. Dic3×Dic10C22semidirect
44. D3×#677C4semidirect
45. C3×C5×#97C22semidirect
47. #91102C22semidirect
48. #91100C22semidirect
49. C5×#815C22semidirect
50. C5×C8×Dic3C22semidirect
51. C4×C5×C3⋊C8C22semidirect
53. C3×#3950C22semidirect
54. C3×#3948C22semidirect
55. #90987C22semidirect
56. #90987C22semidirect
57. #90974C22semidirect
58. #90971C22semidirect
72. #64999D3semidirect
93. D3×Dic10C2×C4semidirect
102. #6706C2×C4semidirect
111. C5×D3×C8C2×C4semidirect
117. C3×#677C2×C4semidirect
128. #6658C2×C4semidirect
129. #6657C2×C4semidirect
144. #4708D5semidirect
172. C4×Dic10C2×D3semidirect
174. C5×#97C2×D3semidirect
182. #3950C2×D3semidirect
188. #3948C2×D3semidirect
260. C3×#97C2×D5semidirect
266. #815C2×D5semidirect
267. C8×Dic3C2×D5semidirect
272. C4×C3⋊C8C2×D5semidirect
325. #677C4×D3semidirect
417. D3×C8C4×D5semidirect
498. #97D3×D5semidirect
623. C3×C5#2949semidirect
699. C5#79777semidirect
724. C3#10610303semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#6772
#117527272
#117525232
#117508112
C5×#47082
C3×#649992
#117481232
#117481072
#117478302
#117478002
#117477952
#117477392
#117476822
C4×#66582
C4×#66572
#106103033
#797775