Finite Group Databasebeta

← #14417513

Subgroups — #14417513

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
1#11754914C211yesmaximal, characteristic
2C2×D3×#687C211yesmaximal, characteristic
3#11753405C211yesmaximal, characteristic, complemented
4#11750858C211yesmaximal, characteristic, complemented
5C5×#4770C211yesmaximal, characteristic
6C3×#65047C211yesmaximal, characteristic, complemented
7#11749017C211yesmaximal, characteristic, complemented
8#11749004C211yesmaximal, characteristic, complemented
9#11748123C211yesmaximal, characteristic, complemented
10#11748052C211yesmaximal, characteristic, complemented
11#11747744C211yesmaximal, characteristic, complemented
12#11747738C211yesmaximal, characteristic, complemented
13#11747437C211yesmaximal, characteristic, complemented
14#11747234C211yesmaximal, characteristic, complemented
15#11747217C211yesmaximal, characteristic, complemented
16#10610647—31nomaximal, Hall
17C2×C5×D3×D4C2211yescharacteristic
18C2×D3×Dic10C2211yescharacteristic
19D4×Dic15C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21#91776C2211yescharacteristic, complemented
22C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
23C5×#892C2211yescharacteristic
24C3×D4×Dic5C2211yescharacteristic
25C2×C3×#687C2211yescharacteristic
26C3×#4033C2211yescharacteristic, complemented
27#67⋊Dic5—21no—
28D3×C22⋊Dic5—21no—
29Dic5×#67—21no—
30C2×(C2×D3)⋊Dic5—21no—
31D3×#687C418yescomplemented
32C4×#1204—21no—
33#91435C2211yescharacteristic
34Dic5×D12C2211yescharacteristic
35#91400—21no—
36#91398—21no—
37#91371C2211yescharacteristic
38#91338C2211yescharacteristic
39#91333C2211yescharacteristic, complemented
40#91331C2211yescharacteristic, complemented
41#91324—21no—
42C2×#6659C2211yescharacteristic
43C2×#6656C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91100C2211yescharacteristic, complemented
47#91099C2211yescharacteristic, complemented
48#91091C2211yescharacteristic, complemented
49C5×#832C2211yescharacteristic
50C5×#821C2211yescharacteristic
51C5×#809C2211yescharacteristic
52C3×#3948C2211yescharacteristic, complemented
53C3×C8×Dic5C2211yescharacteristic, complemented
54C3×#3940C2211yescharacteristic, complemented
55#90989C2211yescharacteristic, complemented
56#90985C2211yescharacteristic, complemented
57#90974C2211yescharacteristic, complemented
58#90971C2211yescharacteristic, complemented
59#90952C2211yescharacteristic, complemented
60#90951C2211yescharacteristic, complemented
61#79649—51nomaximal, Hall
62#66132—31no—
63C22×#687—31no—
64#65850—31no—
65C5×#418—31no—
66#65411—31no—
67#65409—31no—
68#65287—31no—
69#65047—31no—
70#65047—31no—
71#65047—31no—
72#65047D311yescharacteristic, complemented
73#65046—31no—
74#65046—31no—
75#65046—31no—
76#65046—31no—
77C23×C5×D3—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×Dic15—21no—
80C2×Dic30C2311yescharacteristic
81C2×C5×#67—21no—
82C5×D3×D4—22no—
83C5×D3×D4C2×C414yes—
84C2×C5×D12C2311yescharacteristic
85C2×C4×C5×D3C2311yescharacteristic
86C22×C3×Dic5—21no—
87C2×C3×Dic10C2311yescharacteristic
88C2×#1204—21no—
89C2×D3×Dic5—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92D3×Dic10—22no—
93D3×Dic10C2×C414yescomplemented
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96#6719—21no—
97#6716C2×C414yescomplemented
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15—21no—
101C4×Dic15C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C5×(C2×D3)⋊C4—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C4×C5×Dic3—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C5×ΓL(1,𝔽25)—22no—
108C3×C22⋊Dic5—21no—
109C3×#687C2×C414yescomplemented
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×C4×Dic5—21no—
113C3×C4×Dic5C2311yescharacteristic
114C2×C3×#168C2311yescharacteristic
115Dic3⋊Dic5D411yescharacteristic
116Dic3⋊Dic5D411yescharacteristic
117#6669—21no—
118#6668—21no—
119(C2×D3)⋊Dic5—21no—
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5D411yescharacteristic
123(C2×D3)⋊Dic5D411yescharacteristic
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6659C2×C414yescomplemented
128#6656C2×C414yescomplemented
129D3×#168C2×C414yescomplemented
130C2×D3×SD16—51no—
131#5572—51no—
132#5545—51no—
133C3×C4×SD16—51no—
134Dic3×SD16—51no—
135#5026—51no—
136#5018—51no—
137#4860—51no—
138#4852—51no—
139#4817—51no—
140#4802—51no—
141#4770D511yescharacteristic
142#4757—51no—
143C4×#204—51no—
144#4689—51no—
145C22×C5×D4—31no—
146C22×Dic10—31no—
147C2×C5×M16—31no—
148C5×#117—31no—
149C2×C22⋊Dic5—61no—
150C2×C22⋊Dic5—61no—
151D4×Dic5—31no—
152D4×Dic5—31no—
153D4×Dic5—31no—
154D4×Dic5—61no—
155D4×Dic5—61no—
156D4×Dic5C2×D311yescharacteristic
157C2×#687—31no—
158C2×#687—31no—
159C2×#687—38no—
160C2×#687—31no—
161C2×#687C2×D311yescharacteristic
162#4072—31no—
163#4072—31no—
164C22×#168—31no—
165#4033—31no—
166#4033—31no—
167#4033—31no—
168#4033C2×D311yescharacteristic, complemented
169#4023—61no—
170#4023—61no—
171C4×Dic10—61no—
172C4×Dic10—61no—
173C5×#102—31no—
174C5×#102—31no—
175C5×#102—31no—
176C5×#102C2×D311yescharacteristic
177#3948—31no—
178#3948—31no—
179#3948—31no—
180#3948C2×D311yescharacteristic, complemented
181#3947—31no—
182#3947—31no—
183C8×Dic5—31no—
184C8×Dic5C2×D311yescharacteristic, complemented
185#3940—31no—
186#3940C2×D311yescharacteristic, complemented
187#3939—31no—
188#3939—31no—
189#2949—151noSylow
190C23×C3×C5—21no—
191C22×C5×D3—21no—
192C22×C5×D3—24no—
193C22×C5×D3—81no—
194C22×C5×D3—81no—
195C22×C5×D3C2×D411yescharacteristic
196C3×C5×D4—21no—
197C3×C5×D4C22×C412yes—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5C2411yescharacteristic
200C2×Dic15—21no—
201C2×Dic15—21no—
202C2×Dic15—81no—
203C2×Dic15C2×D411yescharacteristic
204C2×Dic15C2×D411yescharacteristic
205Dic30—21no—
206Dic30C22×C412yes—
207C5×#67—24no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3C2×D411yescharacteristic
210C5×D12—21no—
211C5×D12C22×C412yes—
212C4×C5×D3C22×C412yes—
213C4×C5×D3#4112yes—
214C2×C3×Dic5—21no—
215C2×C3×Dic5—21no—
216C2×C3×Dic5—81no—
217C2×C3×Dic5C2×D411yescharacteristic
218C2×C3×Dic5C2×D411yescharacteristic
219C3×Dic10—21no—
220C3×Dic10C22×C412yes—
221#1204—24no—
222D3×Dic5—24no—
223D3×Dic5—81no—
224D3×Dic5—81no—
225C3×C5×C8—21no—
226C3⋊#168C22×C412yes—
227C3×#168C22×C412yes—
228C5×C3⋊C8—21no—
229C2×D3×Q8—51no—
230C2×D3×D4C2×D511yescharacteristic
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×C8—51no—
244#893—51no—
245#892—51no—
246#892—101no—
247#892C2×D511yescharacteristic
248#887—51no—
249#887—101no—
250#67⋊C4—101no—
251D3×C22⋊C4—101no—
252C4×D12—51no—
253#872—51no—
254#872—101no—
255C4×Dic6—51no—
256C4×Dic6—101no—
257C3×#106—51no—
258C3×#103—51no—
259C3×#102C2×D511yescharacteristic
260C3×C4×C8—51no—
261#835—51no—
262#832C2×D511yescharacteristic
263#821C2×D511yescharacteristic
264#817—51no—
265#816—51no—
266#815—51no—
267C8×Dic3—51no—
268#810—51no—
269#809C2×D511yescharacteristic
270#807—51no—
271#807—51no—
272#803—51no—
273C24×C5—61no—
274C2×C5×D4—34no—
275C2×C5×D4—31no—
276C2×C5×D4—62no—
277C2×C5×D4—61no—
278C2×C5×D4C22×D311yescharacteristic
279C22×C4×C5—31no—
280C22×Dic5—21no—
281C22×Dic5—61no—
282C22×Dic5—61no—
283C22×Dic5—61no—
284C22×Dic5—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×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C22⋊C4—61no—
296C42×C5—61no—
297C22⋊Dic5—21no—
298C22⋊Dic5—31no—
299C22⋊Dic5—31no—
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302C22⋊Dic5—61no—
303C22⋊Dic5—61no—
304#687—34no—
305#687—34no—
306#687—34no—
307#687C4×D314yescomplemented
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—31no—
311C4⋊Dic5C22×D311yescharacteristic
312#683—21no—
313#683—61no—
314#683—61no—
315#683—61no—
316C4×Dic5—21no—
317C4×Dic5—31no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5—61no—
322C4×Dic5C22×D311yescharacteristic
323C2×#168—31no—
324C2×#168—34no—
325C2×#168C22×D311yescharacteristic
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—151no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—51no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—151no—
338#419—151no—
339#418—31no—
340#405—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×C5×D3—21no—
346C2×C5×D3—21no—
347C2×C5×D3—22no—
348C2×C5×D3—41no—
349C2×C5×D3—41no—
350C2×C5×D3—84no—
351C2×C5×D3C4×D412yes—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15—21no—
357Dic15—21no—
358Dic15—41no—
359C3×Dic5—22no—
360C3×Dic5—21no—
361C3×Dic5—21no—
362C3×Dic5—41no—
363C5×Dic3—41no—
364C5×Dic3C4×D412yes—
365C23×D3—21no—
366C2×C3×Q8—51no—
367C2×C3×D4C22×D511yescharacteristic
368C22×C3×C4—101no—
369C2×#67—21no—
370C22×Dic3—101no—
371D3×Q8—54no—
372D3×Q8—102no—
373D3×D4—22no—
374D3×D4C4×D514yes—
375C2×D12C22×D511yescharacteristic
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×C8—51no—
384C2×C3×C8C22×D511yescharacteristic
385C3×C4⋊C4—51no—
386C3×C4⋊C4—101no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—101no—
389C3×C42—51no—
390C3×C42—101no—
391#217—101no—
392#215—54no—
393#214—54no—
394(C2×D3)⋊C4—21no—
395(C2×D3)⋊C4—51no—
396(C2×D3)⋊C4—51no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3C22×D511yescharacteristic
403Dic3⋊C4—51no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407C4×Dic3—21no—
408C4×Dic3—51no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8C22×D511yescharacteristic
415#204—54no—
416ΓL(1,𝔽25)—22no—
417D3×C8—54no—
418C23×C5—21no—
419C23×C5—31no—
420C23×C5—64no—
421C23×C5—61no—
422C23×C5—241no—
423C23×C5—241no—
424C5×D4—21no—
425C5×D4—32no—
426C5×D4—64no—
427C5×D4—61no—
428C5×D4C2×C4×D312yes—
429C2×C4×C5—21no—
430C2×C4×C5—31no—
431C2×C4×C5—32no—
432C2×C4×C5—32no—
433C2×C4×C5—61no—
434C2×C4×C5C23×D311yescharacteristic
435C2×Dic5—21no—
436C2×Dic5—21no—
437C2×Dic5—31no—
438C2×Dic5—31no—
439C2×Dic5—64no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442C2×Dic5—81no—
443C2×Dic5—241no—
444C2×Dic5—241no—
445C2×Dic5—241no—
446C2×Dic5D3×D411yescharacteristic
447C2×Dic5D3×D411yescharacteristic
448Dic10—21no—
449Dic10—32no—
450Dic10—64no—
451Dic10—61no—
452Dic10C2×C4×D312yes—
453C5×C8—21no—
454C5×C8—61no—
455#168—32no—
456#168C2×C4×D312yes—
457C22×Q8—151no—
458C22×D4—31no—
459C2×SD16—51no—
460C2×SD16—151no—
461C2×SD16—158no—
462C2×SD16—151no—
463C2×SD16—151no—
464C2×M16—31no—
465C22×C8—151no—
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—151no—
486#107—151no—
487#106—51no—
488#106—151no—
489#103—51no—
490#103—151no—
491#103—151no—
492#103—151no—
493#102—31no—
494#102—31no—
495#102—31no—
496#102D3×D511yescharacteristic
497#97—151no—
498#97—151no—
499C4×C8—51no—
500C4×C8—151no—
501C2×C3×C5—42no—
502C2×C3×C5C2×C4×D411yescharacteristic
503C2×C3×C5#57711yescharacteristic
504C2×C3×C5#57711yescharacteristic
505C5×D3—22no—
506C5×D3—42no—
507C23×C3—21no—
508C22×D3—21no—
509C22×D3—24no—
510C22×D3—81no—
511C22×D3—81no—
512C22×D3D4×D511yescharacteristic
513C3×Q8—52no—
514C3×Q8—101no—
515C3×D4—21no—
516C3×D4C2×C4×D512yes—
517C2×C3×C4—21no—
518C2×C3×C4—51no—
519C2×C3×C4—51no—
520C2×C3×C4—101no—
521C2×C3×C4—101no—
522C2×C3×C4—401no—
523C2×C3×C4C23×D511yescharacteristic
524#67—24no—
525C2×Dic3—21no—
526C2×Dic3—51no—
527C2×Dic3—51no—
528C2×Dic3—101no—
529C2×Dic3—101no—
530C2×Dic3—401no—
531C2×Dic3D4×D511yescharacteristic
532D12—21no—
533D12C2×C4×D512yes—
534C4×D3—104no—
535C4×D3—401no—
536C4×D3—401no—
537C4×D3C2×C4×D512yes—
538C4×D3#71112yes—
539Dic6—52no—
540Dic6—101no—
541Dic6—104no—
542C3×C8—21no—
543C3×C8—52no—
544C3⋊C8—21no—
545C3⋊C8—52no—
546C22×C5—22no—
547C22×C5—32no—
548C22×C5—41no—
549C22×C5—41no—
550C22×C5—61no—
551C22×C5—61no—
552C22×C5—62no—
553C22×C5—121no—
554C22×C5—121no—
555C22×C5—244no—
556C22×C5C2×D3×D411yescharacteristic
557C4×C5—32no—
558C4×C5—41no—
559C4×C5—121no—
560C4×C5C22×C4×D311yescharacteristic
561C4×C5D3×#4111yescharacteristic
562Dic5—21no—
563Dic5—21no—
564Dic5—22no—
565Dic5—41no—
566Dic5—61no—
567Dic5—61no—
568Dic5—62no—
569Dic5—121no—
570C24—61no—
571C2×Q8—51no—
572C2×Q8—154no—
573C2×Q8—151no—
574C2×Q8—301no—
575C2×Q8—302no—
576C2×D4—34no—
577C2×D4—31no—
578C2×D4—62no—
579C2×D4—61no—
580C2×D4C2×D3×D511yescharacteristic
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—51no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—101no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4C2×D3×D511yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—101no—
609C22⋊C4—151no—
610C22⋊C4—151no—
611C22⋊C4—301no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—51no—
616C42—61no—
617C42—101no—
618C42—151no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42—301no—
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—22no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3C2×D4×D511yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—22no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—84no—
634C2×D3#402712yes—
635C3×C4—41no—
636C3×C4—102no—
637C3×C4—101no—
638C3×C4—101no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4C2×#71111yescharacteristic
642Dic3—41no—
643Dic3—102no—
644Dic3—101no—
645Dic3—101no—
646Dic3—201no—
647Dic3#402712yes—
648C2×C5—42no—
649C2×C5—62no—
650C2×C5—122no—
651C2×C5C4×D3×D411yescharacteristic
652C2×C5#576211yescharacteristic
653C2×C5#577011yescharacteristic
654C23—21no—
655C23—31no—
656C23—64no—
657C23—61no—
658C23—241no—
659C23—241no—
660Q8—52no—
661Q8—101no—
662Q8—152no—
663Q8—304no—
664Q8—301no—
665D4—21no—
666D4—32no—
667D4—64no—
668D4—61no—
669D4C4×D3×D512yes—
670C2×C4—21no—
671C2×C4—31no—
672C2×C4—32no—
673C2×C4—32no—
674C2×C4—51no—
675C2×C4—51no—
676C2×C4—61no—
677C2×C4—101no—
678C2×C4—101no—
679C2×C4—151no—
680C2×C4—151no—
681C2×C4—304no—
682C2×C4—301no—
683C2×C4—301no—
684C2×C4—401no—
685C2×C4—1201no—
686C2×C4—1201no—
687C2×C4—1201no—
688C2×C4C22×D3×D511yescharacteristic
689C8—21no—
690C8—52no—
691C8—61no—
692C8—152no—
693C2×C3—42no—
694C2×C3C2×#402711yescharacteristic
695C2×C3#6610911yescharacteristic
696C2×C3#6610911yescharacteristic
697D3—22no—
698D3—42no—
699C5#7964911yescharacteristic, complemented, Sylow
700C22—22no—
701C22—32no—
702C22—41no—
703C22—41no—
704C22—61no—
705C22—61no—
706C22—62no—
707C22—121no—
708C22—121no—
709C22—244no—
710C22D3×D4×D511yescharacteristic
711C4—32no—
712C4—41no—
713C4—101no—
714C4—101no—
715C4—102no—
716C4—121no—
717C4—201no—
718C4—301no—
719C4—301no—
720C4—302no—
721C4—601no—
722C4C2×C4×D3×D511yescharacteristic
723C4D3×#71111yescharacteristic
724C3#1061064711yescharacteristic, complemented, Sylow
725C2—42no—
726C2—62no—
727C2—122no—
728C2D3×#402711yescharacteristic
729C2#1175406211yescharacteristic
730C2#1175408111yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×C5×D3×D4C22
cosocleC2×C3×C4×C5C24
hypercenter#102D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
3. #11753405C2semidirect
4. #11750858C2semidirect
6. C3×#65047C2semidirect
7. #11749017C2semidirect
8. #11749004C2semidirect
9. #11748123C2semidirect
10. #11748052C2semidirect
11. #11747744C2semidirect
12. #11747738C2semidirect
13. #11747437C2semidirect
14. #11747234C2semidirect
15. #11747217C2semidirect
21. #91776C22semidirect
26. C3×#4033C22semidirect
31. D3×#687C4semidirect
39. #91333C22semidirect
40. #91331C22semidirect
46. #91100C22semidirect
47. #91099C22semidirect
48. #91091C22semidirect
52. C3×#3948C22semidirect
53. C3×C8×Dic5C22semidirect
54. C3×#3940C22semidirect
55. #90989C22semidirect
56. #90985C22semidirect
57. #90974C22semidirect
58. #90971C22semidirect
59. #90952C22semidirect
60. #90951C22semidirect
72. #65047D3semidirect
93. D3×Dic10C2×C4semidirect
97. #6716C2×C4semidirect
109. C3×#687C2×C4semidirect
127. #6659C2×C4semidirect
128. #6656C2×C4semidirect
129. D3×#168C2×C4semidirect
168. #4033C2×D3semidirect
180. #3948C2×D3semidirect
184. C8×Dic5C2×D3semidirect
186. #3940C2×D3semidirect
307. #687C4×D3semidirect
623. C3×C5#2949semidirect
699. C5#79649semidirect
724. C3#10610647semidirect

Maximal subgroups

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

subgroupindex
#117549142
C2×D3×#6872
#117534052
#117508582
C5×#47702
C3×#650472
#117490172
#117490042
#117481232
#117480522
#117477442
#117477382
#117474372
#117472342
#117472172
#106106473
#796495