Finite Group Databasebeta

← #14417771

Subgroups — #14417771

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91272C211yesmaximal, characteristic
2#11752527C211yesmaximal, characteristic, complemented
3#11752518C211yesmaximal, characteristic, complemented
4C4×#6706C211yesmaximal, characteristic, complemented
5C5×#4689C211yesmaximal, characteristic, complemented
6C3×C4×#677C211yesmaximal, characteristic, complemented
7#11748138C211yesmaximal, characteristic, complemented
8#11747832C211yesmaximal, characteristic, complemented
9#11747789C211yesmaximal, characteristic, complemented
10Dic3×#677C211yesmaximal, characteristic, complemented
11#11747741C211yesmaximal, characteristic, complemented
12D3×#3949C211yesmaximal, characteristic, complemented
13#11747608C211yesmaximal, characteristic, complemented
14#11747091C211yesmaximal, characteristic, complemented
15#11747023C211yesmaximal, characteristic, complemented
16#10610305—31nomaximal, Hall
17C2×#6769C2211yescharacteristic
18C2×#6765C2211yescharacteristic
19C2×#6706C2211yescharacteristic
20C4×D60C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
23C2×C5×D3×C8C2211yescharacteristic
24C5×#872C2211yescharacteristic
25C2×C3×#677C2211yescharacteristic
26C3×C4×D20C2211yescharacteristic
27C3×C4×Dic10C2211yescharacteristic
28#91442—21no—
29#91440—21no—
30#91428C2211yescharacteristic
31D3×C4⋊Dic5C2211yescharacteristic
32D3×C4⋊Dic5C2211yescharacteristic
33Dic3×D20C2211yescharacteristic
34#91406—21no—
35#91405—21no—
36#91404—21no—
37#91402—21no—
38#91394—21no—
39D5×Dic3⋊C4—21no—
40#91340C2211yescharacteristic
41Dic3×Dic10C2211yescharacteristic
42C2×#6662C2211yescharacteristic
43C2×#6653C2211yescharacteristic
44#91272C418yescomplemented
45C3×C4×C5×C8C2211yescharacteristic
46#91105C2211yescharacteristic
47#91101C2211yescharacteristic
48#91100C2211yescharacteristic
49C5×#815C2211yescharacteristic
50C5×C8×Dic3C2211yescharacteristic
51C5×#803C2211yescharacteristic
52C3×#3953C2211yescharacteristic
53C3×#3949C2211yescharacteristic
54C3×#3948C2211yescharacteristic
55#90987C2211yescharacteristic
56#90987C2211yescharacteristic
57#90974C2211yescharacteristic
58#90971C2211yescharacteristic
59#90968C2211yescharacteristic
60#90965C2211yescharacteristic
61#79650—51nomaximal, Hall
62C2×#4050—31no—
63#65857—31no—
64#65857—31no—
65C5×#405—31no—
66#65422—31no—
67#65422—31no—
68C2×#3949—31no—
69#65005—31no—
70#65005—31no—
71#65000—31no—
72#65000—31no—
73C4×#677—31no—
74C4×#677—31no—
75C4×#677—31no—
76C4×#677D311yescharacteristic, complemented
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30C2311yescharacteristic
80C2×C4×C5×D3C2311yescharacteristic
81C2×C3×D20C2311yescharacteristic
82C2×C3×C4×D5—21no—
83C2×C3×Dic10C2311yescharacteristic
84C2×#1203—21no—
85C2×#1201—21no—
86C2×#1200—21no—
87C2×#1200—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92#6769—22no—
93#6769C2×C414yescomplemented
94#6765—22no—
95#6765C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C3×C42×C5C2311yescharacteristic
99#6714—21no—
100C4⋊Dic15C2311yescharacteristic
101C4⋊Dic15C2311yescharacteristic
102#6712—21no—
103C4×Dic15—21no—
104#6706C2×C414yescomplemented
105C5×(C2×D3)⋊C4D411yescharacteristic
106C5×(C2×D3)⋊C4D411yescharacteristic
107C5×Dic3⋊C4D411yescharacteristic
108C5×Dic3⋊C4D411yescharacteristic
109C4×C5×Dic3C2311yescharacteristic
110C2×C5×C3⋊C8C2311yescharacteristic
111C2×C5×C3⋊C8C2311yescharacteristic
112C5×ΓL(1,𝔽25)—22no—
113C5×D3×C8C2×C414yescomplemented
114C3×#685—21no—
115C3×C4⋊Dic5C2311yescharacteristic
116C3×C4⋊Dic5C2311yescharacteristic
117C3×#683—21no—
118C3×C4×Dic5—21no—
119C3×#677C2×C414yescomplemented
120Dic3⋊Dic5—21no—
121Dic3⋊Dic5—21no—
122#6669—21no—
123#6668—21no—
124#6667—21no—
125#6665—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128#6662C2×C414yescomplemented
129#6653C2×C414yescomplemented
130C2×#916—51no—
131#5574—51no—
132#5546—51no—
133C3×C4×SD16—51no—
134Dic3×SD16—51no—
135#5030—51no—
136#5014—51no—
137D3×#106—51no—
138#4852—51no—
139#4803—51no—
140#4789—51no—
141#4785—51no—
142#4771—51no—
143C4×#204—51no—
144#4689D511yescharacteristic, complemented
145C2×#709—31no—
146C2×#709—31no—
147C2×C5×M16—31no—
148C22×C5×C8—31no—
149C5×#117—31no—
150C2×C4⋊Dic5—31no—
151C2×C4⋊Dic5—31no—
152C2×Dic20—31no—
153#4050—38no—
154C2×D40—31no—
155C2×#677—31no—
156C2×#677C2×D311yescharacteristic
157#4038—61no—
158#4038—61no—
159D5×C4⋊C4—61no—
160D5×C4⋊C4—61no—
161#4027—61no—
162#4027—61no—
163#4027—61no—
164#4027—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
173C5×#97—31no—
174C5×#97—31no—
175C4×C5×C8—31no—
176C4×C5×C8C2×D311yescharacteristic
177#3953—31no—
178#3953—31no—
179#3953—31no—
180#3953C2×D311yescharacteristic
181#3949—31no—
182#3949—31no—
183#3949—31no—
184#3949C2×D311yescharacteristic
185#3948—31no—
186#3948—31no—
187#3948—31no—
188#3948C2×D311yescharacteristic
189#2952—151noSylow
190C22×D15—21no—
191C22×C5×D3C2×D411yescharacteristic
192C22×C3×D5—21no—
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2×D411yescharacteristic
195C2×C3×C4×C5C2411yescharacteristic
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15—21no—
199D60—21no—
200D60C22×C412yes—
201C4×D15—81no—
202Dic30—21no—
203Dic30C22×C412yes—
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C4×C5×D3C22×C412yes—
208C4×C5×D3#4112yes—
209C2×C3×Dic5—21no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—21no—
212C3×D20—21no—
213C3×D20C22×C412yes—
214C3×C4×D5—81no—
215C3×Dic10—21no—
216C3×Dic10C22×C412yes—
217#1203—24no—
218#1201—24no—
219#1200—24no—
220#1200—81no—
221D3×Dic5—81no—
222D3×Dic5—81no—
223D5×Dic3—24no—
224D5×Dic3—81no—
225C3×C5×C8—21no—
226C3×C5×C8C22×C412yes—
227C5×C3⋊C8—21no—
228C5×C3⋊C8C22×C412yes—
229C2×#239—51no—
230C2×#237—51no—
231C2×C3×SD16—51no—
232C3×C4×Q8—51no—
233C3×C4×D4—51no—
234Q8×Dic3—51no—
235C2×#216—51no—
236D4×Dic3—51no—
237C2×#213—51no—
238C4×#67—101no—
239C2×Dic3⋊C4—101no—
240#916—58no—
241C2×#204—51no—
242C2×ΓL(1,𝔽25)C2×D511yescharacteristic
243C2×D3×C8C2×D511yescharacteristic
244#893—51no—
245#893—101no—
246D3×C4⋊C4—51no—
247D3×C4⋊C4—51no—
248D3×C4⋊C4—101no—
249#887—51no—
250#67⋊C4—101no—
251#877—101no—
252C4×D12—51no—
253C4×D12—101no—
254#872—101no—
255#872C2×D511yescharacteristic
256C4×Dic6—51no—
257C3×#106—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×C4×C8C2×D511yescharacteristic
261#835—51no—
262#832—51no—
263#821—51no—
264#817—51no—
265#816—51no—
266#815C2×D511yescharacteristic
267C8×Dic3C2×D511yescharacteristic
268#810—51no—
269#809—51no—
270#808—51no—
271#808—51no—
272#803C2×D511yescharacteristic
273C22×C4×C5—31no—
274C2×C22⋊D5—61no—
275C2×C22⋊D5—61no—
276C22×Dic5—61no—
277C22×Dic5—61no—
278#709—34no—
279#709—34no—
280#709—62no—
281#709—62no—
282C2×D20—31no—
283C2×D20C22×D311yescharacteristic
284C2×C4×D5—21no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×Dic10—31no—
291C2×Dic10C22×D311yescharacteristic
292C5×M16—62no—
293C2×C5×C8—31no—
294C2×C5×C8—34no—
295C2×C5×C8—31no—
296C2×C5×C8C22×D311yescharacteristic
297C2×C5×C8C22×D311yescharacteristic
298C5×C4⋊C4—31no—
299C5×C4⋊C4—31no—
300C5×C22⋊C4—31no—
301C5×C22⋊C4—31no—
302C42×C5—31no—
303C42×C5C22×D311yescharacteristic
304#685—21no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311C4⋊Dic5—61no—
312C4⋊Dic5C22×D311yescharacteristic
313C4⋊Dic5C22×D311yescharacteristic
314#683—21no—
315#683—61no—
316#683—61no—
317#683—61no—
318C4×Dic5—21no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5—61no—
322Dic20—34no—
323D40—34no—
324#677—34no—
325#677C4×D314yescomplemented
326C2×#135—151no—
327#520—151no—
328#520—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333C4×SD16—51no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337C2×#106—151no—
338#417—151no—
339#417—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—
351C3×C4×C5—21no—
352C3×C4×C5—21no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15—41no—
357Dic15—41no—
358C3×Dic5—22no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C5×Dic3—21no—
362C5×Dic3—21no—
363C5×Dic3C4×D412yes—
364C2×C3×Q8—51no—
365C2×C3×D4—51no—
366C22×C3×C4—101no—
367C2×#67—101no—
368C22×Dic3—101no—
369C22×Dic3—101no—
370#239—54no—
371#239—102no—
372#237—54no—
373#237—102no—
374C2×D12—51no—
375C2×D12—101no—
376C2×C4×D3—101no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×C4×D3C22×D511yescharacteristic
382C2×Dic6—51no—
383C3×SD16—54no—
384C2×C3×C8C22×D511yescharacteristic
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4—51no—
388C3×C4⋊C4—101no—
389C3×C22⋊C4—101no—
390C3×C42—101no—
391C3×C42C22×D511yescharacteristic
392#217—101no—
393#216—54no—
394#213—54no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4D2011yescharacteristic
398(C2×D3)⋊C4D2011yescharacteristic
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402Dic3⋊C4—101no—
403Dic3⋊C4—101no—
404Dic3⋊C4—101no—
405Dic3⋊C4—101no—
406Dic3⋊C4D2011yescharacteristic
407Dic3⋊C4D2011yescharacteristic
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3C22×D511yescharacteristic
412C2×C3⋊C8C22×D511yescharacteristic
413C2×C3⋊C8C22×D511yescharacteristic
414#204—54no—
415ΓL(1,𝔽25)—22no—
416D3×C8C4×D514yescomplemented
417C23×C5—31no—
418C22×D5—21no—
419C22×D5—61no—
420C2×C4×C5—31no—
421C2×C4×C5—32no—
422C2×C4×C5—32no—
423C2×C4×C5—31no—
424C2×C4×C5—31no—
425C2×C4×C5D3×D411yescharacteristic
426C2×C4×C5D3×D411yescharacteristic
427C2×C4×C5C23×D311yescharacteristic
428C22⋊D5—64no—
429C22⋊D5—64no—
430C2×Dic5—21no—
431C2×Dic5—21no—
432C2×Dic5—21no—
433C2×Dic5—61no—
434C2×Dic5—61no—
435C2×Dic5—61no—
436C2×Dic5—241no—
437C2×Dic5—241no—
438D20—21no—
439D20—32no—
440D20—61no—
441D20C2×C4×D312yes—
442C4×D5—64no—
443C4×D5—64no—
444C4×D5—81no—
445C4×D5—241no—
446C4×D5—241no—
447C4×D5—241no—
448Dic10—21no—
449Dic10—32no—
450Dic10—61no—
451Dic10C2×C4×D312yes—
452C5×C8—21no—
453C5×C8—32no—
454C5×C8—61no—
455C5×C8C2×C4×D312yes—
456C2×#41—151no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—51no—
461C2×SD16—151no—
462C2×D8—151no—
463C2×M16—31no—
464C22×C8—31no—
465C4×Q8—51no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—51no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—31no—
478#117—301no—
479#117—301no—
480C2×C4⋊C4—151no—
481C2×C4⋊C4—151no—
482C2×C4⋊C4—301no—
483C2×C4⋊C4—301no—
484#106—51no—
485#106—151no—
486#106—151no—
487#106—151no—
488#103—51no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—51no—
493#102—151no—
494#102—151no—
495#102—151no—
496#97—31no—
497#97—31no—
498C4×C8—31no—
499C4×C8D3×D511yescharacteristic
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5#57711yescharacteristic
502C2×C3×C5#57711yescharacteristic
503D15—42no—
504C3×D5—42no—
505C5×D3—22no—
506C23×C3—101no—
507C22×D3—101no—
508C22×D3C2×D2011yescharacteristic
509C3×Q8—52no—
510C3×Q8—101no—
511C3×D4—52no—
512C3×D4—101no—
513C2×C3×C4—101no—
514C2×C3×C4—101no—
515C2×C3×C4—101no—
516C2×C3×C4—401no—
517C2×C3×C4C2×D2011yescharacteristic
518C2×C3×C4C2×D2011yescharacteristic
519C2×C3×C4C23×D511yescharacteristic
520#67—104no—
521C2×Dic3—101no—
522C2×Dic3—104no—
523C2×Dic3—101no—
524C2×Dic3—101no—
525C2×Dic3—401no—
526C2×Dic3C2×D2011yescharacteristic
527C2×Dic3C2×D2011yescharacteristic
528C2×Dic3C2×D2011yescharacteristic
529D12—52no—
530D12—104no—
531D12—101no—
532C4×D3—104no—
533C4×D3—401no—
534C4×D3—401no—
535C4×D3—401no—
536C4×D3—401no—
537C4×D3C2×C4×D512yes—
538C4×D3#70912yes—
539Dic6—52no—
540Dic6—101no—
541C3×C8—21no—
542C3×C8C2×C4×D512yes—
543C3⋊C8—21no—
544C3⋊C8C2×C4×D512yes—
545C22×C5—32no—
546C22×C5—61no—
547C22×C5—61no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—22no—
550C2×D5—41no—
551C2×D5—41no—
552C2×D5—62no—
553C2×D5—121no—
554C2×D5—121no—
555C4×C5—21no—
556C4×C5—21no—
557C4×C5—32no—
558C4×C5—61no—
559C4×C5—61no—
560C4×C5C22×C4×D311yescharacteristic
561C4×C5D3×#4111yescharacteristic
562Dic5—22no—
563Dic5—41no—
564Dic5—41no—
565Dic5—62no—
566Dic5—121no—
567Dic5—121no—
568#41—154no—
569#41—154no—
570#41—302no—
571#41—302no—
572C2×Q8—51no—
573C2×Q8—151no—
574C2×D4—51no—
575C2×D4—151no—
576C2×D4—301no—
577C2×D4—301no—
578C22×C4—31no—
579C22×C4—101no—
580C22×C4—301no—
581C22×C4—301no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—54no—
589SD16—154no—
590D8—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—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C22⋊C4—31no—
610C22⋊C4—31no—
611C22⋊C4—101no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—101no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42C2×D3×D511yescharacteristic
621C3×C5#295211yescharacteristic, complemented, Hall
622C22×C3—102no—
623C22×C3—201no—
624C22×C3—201no—
625C22×C3C22×D2011yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—102no—
629C2×D3—201no—
630C2×D3—201no—
631C2×D3C4×D2012yes—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—102no—
635C3×C4—201no—
636C3×C4—201no—
637C3×C4C22×C4×D511yescharacteristic
638C3×C4C2×#70911yescharacteristic
639Dic3—21no—
640Dic3—21no—
641Dic3—102no—
642Dic3—201no—
643Dic3—201no—
644Dic3C4×D2012yes—
645C2×C5—62no—
646C2×C5C4×D3×D411yescharacteristic
647C2×C5#576211yescharacteristic
648C2×C5#577011yescharacteristic
649D5—42no—
650D5—122no—
651C23—31no—
652C23—101no—
653C23—301no—
654Q8—52no—
655Q8—101no—
656Q8—152no—
657Q8—301no—
658D4—52no—
659D4—101no—
660D4—152no—
661D4—304no—
662D4—304no—
663D4—301no—
664C2×C4—31no—
665C2×C4—32no—
666C2×C4—32no—
667C2×C4—31no—
668C2×C4—31no—
669C2×C4—101no—
670C2×C4—101no—
671C2×C4—101no—
672C2×C4—304no—
673C2×C4—304no—
674C2×C4—301no—
675C2×C4—301no—
676C2×C4—301no—
677C2×C4—401no—
678C2×C4—1201no—
679C2×C4—1201no—
680C2×C4—1201no—
681C2×C4—1201no—
682C2×C4—1201no—
683C2×C4D3×D2011yescharacteristic
684C2×C4D3×D2011yescharacteristic
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—32no—
688C8—61no—
689C8C4×D3×D512yes—
690C2×C3—202no—
691C2×C3C2×C4×D2011yescharacteristic
692C2×C3#6608511yescharacteristic
693C2×C3#6608511yescharacteristic
694D3—22no—
695D3—202no—
696C5#7965011yescharacteristic, complemented, Sylow
697C22—32no—
698C22—61no—
699C22—61no—
700C22—102no—
701C22—201no—
702C22—201no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22C2×D3×D2011yescharacteristic
707C4—21no—
708C4—21no—
709C4—32no—
710C4—61no—
711C4—61no—
712C4—102no—
713C4—201no—
714C4—201no—
715C4—302no—
716C4—601no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D3×#70911yescharacteristic
720C3#1061030511yescharacteristic, complemented, Sylow
721C2—62no—
722C2—202no—
723C2—602no—
724C2C4×D3×D2011yescharacteristic
725C2#1175397011yescharacteristic
726C2#1175397211yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×C8C22
socleC22×C3×C5C22×D4
prime radicalC2×#91272C2
cosocleC2×C3×C4×C5C24
hypercenterC4×C8D3×D5
hypocenterC3×C5#2952
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
2. #11752527C2semidirect
3. #11752518C2semidirect
4. C4×#6706C2semidirect
5. C5×#4689C2semidirect
6. C3×C4×#677C2semidirect
7. #11748138C2semidirect
8. #11747832C2semidirect
9. #11747789C2semidirect
10. Dic3×#677C2semidirect
11. #11747741C2semidirect
12. D3×#3949C2semidirect
13. #11747608C2semidirect
14. #11747091C2semidirect
15. #11747023C2semidirect
44. #91272C4semidirect
76. C4×#677D3semidirect
93. #6769C2×C4semidirect
95. #6765C2×C4semidirect
104. #6706C2×C4semidirect
113. C5×D3×C8C2×C4semidirect
119. C3×#677C2×C4semidirect
128. #6662C2×C4semidirect
129. #6653C2×C4semidirect
144. #4689D5semidirect
325. #677C4×D3semidirect
416. D3×C8C4×D5semidirect
621. C3×C5#2952semidirect
696. C5#79650semidirect
720. C3#10610305semidirect

Maximal subgroups

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

subgroupindex
C2×#912722
#117525272
#117525182
C4×#67062
C5×#46892
C3×C4×#6772
#117481382
#117478322
#117477892
Dic3×#6772
#117477412
D3×#39492
#117476082
#117470912
#117470232
#106103053
#796505