Finite Group Databasebeta

← #14416578

Subgroups — #14416578

Order 1920.

984 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
1C4×C5×#237C211yesmaximal, characteristic, complemented
2C2×#91495C211yesmaximal, characteristic
3C4×#6769C211yesmaximal, characteristic, complemented
4#11751115C211yesmaximal, characteristic, complemented
5C3×#65307C211yesmaximal, characteristic, complemented
6#11749010C211yesmaximal, characteristic, complemented
7#11748989C211yesmaximal, characteristic, complemented
8#11748965C211yesmaximal, characteristic, complemented
9#11747504C211yesmaximal, characteristic, complemented
10#11747435C211yesmaximal, characteristic, complemented
11#11747267C211yesmaximal, characteristic, complemented
12#11747231C211yesmaximal, characteristic, complemented
13#11747089C211yesmaximal, characteristic, complemented
14#11747058C211yesmaximal, characteristic, complemented
15D3×#3935C211yesmaximal, characteristic, complemented
16#10614237—31nomaximal, Hall
17C2×C5×#237C2211yescharacteristic
18C2×#6769C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20C2×#6715C2211yescharacteristic
21C4×D60C2211yescharacteristic
22C5×D4×Dic3C2211yescharacteristic
23C4×C5×#67—21no—
24C2×C4×C5×Dic3—21no—
25C5×#892C2211yescharacteristic
26C5×#887C2211yescharacteristic
27C5×#67⋊C4—21no—
28C5×#877—21no—
29C42×C5×D3C2211yescharacteristic
30C4×C5×Dic6C2211yescharacteristic
31C2×C3×#687C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91495C418yescomplemented
34#91446—21no—
35C4×#1203—21no—
36#91428C2211yescharacteristic
37#91403—21no—
38C4×#1200—21no—
39#91338C2211yescharacteristic
40Dic3×Dic10C2211yescharacteristic
41C2×#6661C2211yescharacteristic
42C2×#6660C2211yescharacteristic
43C2×D3×#168C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45#91116C2211yescharacteristic
46#91093C2211yescharacteristic
47#91092C2211yescharacteristic
48#91087C2211yescharacteristic
49C3×#3964C2211yescharacteristic
50C3×#3942C2211yescharacteristic
51C3×#3939C2211yescharacteristic
52C3×#3935C2211yescharacteristic
53#90988C2211yescharacteristic
54#90986C2211yescharacteristic
55#90973C2211yescharacteristic
56#90972C2211yescharacteristic
57#90970C2211yescharacteristic
58#90969C2211yescharacteristic
59#90953C2211yescharacteristic
60#90953C2211yescharacteristic
61#79772—51nomaximal, Hall
62C4×C5×#41—31no—
63C2×#4096—31no—
64C4×#709—31no—
65#65522—31no—
66#65319—31no—
67#65319—31no—
68#65315—31no—
69#65315—31no—
70#65307—31no—
71#65307D311yescharacteristic, complemented
72#65303—31no—
73#65303—31no—
74#65291—31no—
75#65287—31no—
76C2×#3935—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×D60C2311yescharacteristic
80C2×C4×D15—21no—
81C2×C5×#67—21no—
82C22×C5×Dic3—21no—
83C22×C5×Dic3—21no—
84C5×#237—22no—
85C5×#237C2×C414yescomplemented
86C2×C4×C5×D3D411yescharacteristic
87C2×C4×C5×D3D411yescharacteristic
88C2×C4×C5×D3C2311yescharacteristic
89C2×C5×Dic6C2311yescharacteristic
90C2×C3×Dic10C2311yescharacteristic
91C2×#1203—21no—
92C2×#1200—21no—
93C2×#1200—21no—
94#6769—22no—
95#6769C2×C414yescomplemented
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C22⋊C4—21no—
98C3×C42×C5C2311yescharacteristic
99#6715C2×C414yescomplemented
100#6714—21no—
101C4⋊Dic15C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×#217—21no—
105C5×(C2×D3)⋊C4—21no—
106C5×C4⋊Dic3C2311yescharacteristic
107C5×Dic3⋊C4—21no—
108C5×Dic3⋊C4—21no—
109C4×C5×Dic3—21no—
110C4×C5×Dic3—21no—
111C4×C5×Dic3—21no—
112C4×C5×Dic3D411yescharacteristic
113C4×C5×Dic3D411yescharacteristic
114C4×C5×Dic3C2311yescharacteristic
115C3×#687C2×C414yescomplemented
116C3×C4⋊Dic5C2311yescharacteristic
117C3×#683—21no—
118C3×C4×Dic5—21no—
119C2×C3×#168C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121#6668—21no—
122#6667—21no—
123(C2×D3)⋊Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6661C2×C414yescomplemented
127#6660C2×C414yescomplemented
128D3×#168—22no—
129D3×#168C2×C414yescomplemented
130C2×#916—51no—
131C4×#239—51no—
132C4×#237D511yescharacteristic, complemented
133C3×#440—51no—
134#5164—51no—
135#5030—51no—
136#5014—51no—
137#4889—51no—
138#4880—51no—
139#4804—51no—
140#4789—51no—
141#4785—51no—
142#4772—51no—
143#4710—51no—
144D3×#97—51no—
145C2×C5×#41—31no—
146C2×#709—31no—
147C4×C5×Q8—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150C4×C5×D4—61no—
151C4×C5×D4—61no—
152C4×C5×D4C2×D311yescharacteristic
153C5×#117—31no—
154C5×#117—61no—
155C2×C42×C5—31no—
156C2×C42×C5—61no—
157#4096—38no—
158C2×#689—31no—
159C2×#688—31no—
160C2×#687C2×D311yescharacteristic
161C2×#686—31no—
162C4×C22⋊D5—61no—
163C4×C22⋊D5—61no—
164#4072—31no—
165C22×#168—31no—
166C22×#168—31no—
167C4×D20—31no—
168C4×D20—31no—
169#4018—61no—
170C42×D5—61no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173#3967—31no—
174#3967—31no—
175#3964—31no—
176#3964C2×D311yescharacteristic
177#3942—31no—
178#3942C2×D311yescharacteristic
179#3941—31no—
180#3941—31no—
181#3940—31no—
182#3940—31no—
183#3939—31no—
184#3939C2×D311yescharacteristic
185#3935—31no—
186#3935—31no—
187#3935—31no—
188#3935C2×D311yescharacteristic
189#2943—151noSylow
190C23×C3×C5—21no—
191C22×D15—21no—
192C22×C5×D3C2×D411yescharacteristic
193C3×C5×D4—21no—
194C3×C5×D4C22×C412yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—42no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2411yescharacteristic
200C2×Dic15—21no—
201D60—21no—
202D60C22×C412yes—
203C4×D15—42no—
204C5×#67—24no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—24no—
207C2×C5×Dic3—21no—
208C2×C5×Dic3—42no—
209C2×C5×Dic3C2×D411yescharacteristic
210C2×C5×Dic3C2×D411yescharacteristic
211C2×C5×Dic3C2×D411yescharacteristic
212C4×C5×D3—41no—
213C4×C5×D3—41no—
214C4×C5×D3C22×C412yes—
215C4×C5×D3#4112yes—
216C5×Dic6—21no—
217C5×Dic6C22×C412yes—
218C2×C3×Dic5—21no—
219C2×C3×Dic5—21no—
220C3×Dic10—21no—
221C3×Dic10C22×C412yes—
222#1203—24no—
223#1200—24no—
224#1200—42no—
225C3⋊#168—21no—
226C3⋊#168C22×C412yes—
227C3×#168—21no—
228C3×#168C22×C412yes—
229C2×#239—51no—
230C2×#237C2×D511yescharacteristic
231C2×C3×SD16—51no—
232C3×C4×Q8—51no—
233C3×C4×D4C2×D511yescharacteristic
234Q8×Dic3—51no—
235C2×#216—51no—
236D4×Dic3C2×D511yescharacteristic
237C2×#213—51no—
238C4×#67—21no—
239C2×C4×Dic3—21no—
240#916—58no—
241C2×#204—51no—
242C2×D3×C8—51no—
243C2×D3×C8—51no—
244#893—51no—
245#893—101no—
246#892—51no—
247#892—101no—
248#892C2×D511yescharacteristic
249#887C2×D511yescharacteristic
250#67⋊C4—21no—
251#877—21no—
252C4×D12—51no—
253C4×D12—101no—
254C42×D3—101no—
255C42×D3C2×D511yescharacteristic
256C4×Dic6C2×D511yescharacteristic
257C3×#107—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×#97—51no—
261#835—51no—
262#832—51no—
263#821—51no—
264#818—51no—
265#816—51no—
266#815—51no—
267#815—51no—
268#810—51no—
269#809—51no—
270#808—51no—
271#808—51no—
272#803—51no—
273C5×#41—34no—
274C5×#41—62no—
275C2×C5×Q8—31no—
276C2×C5×D4—61no—
277C2×C5×D4C22×D311yescharacteristic
278C22×C4×C5—21no—
279C22×C4×C5—31no—
280C22×C4×C5—31no—
281C22×C4×C5—31no—
282C22×C4×C5—61no—
283C22×C4×C5—61no—
284C2×C22⋊D5—61no—
285#709—34no—
286#709—62no—
287C2×D20—31no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5—61no—
291C2×Dic10C22×D311yescharacteristic
292C5×C4⋊C4—31no—
293C5×C4⋊C4—61no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—21no—
297C5×C22⋊C4—61no—
298C5×C22⋊C4—61no—
299C42×C5—31no—
300C42×C5—31no—
301C42×C5—31no—
302C42×C5—61no—
303C42×C5—61no—
304C42×C5—61no—
305C42×C5C22×D311yescharacteristic
306C22⋊Dic5—61no—
307#689—34no—
308#688—34no—
309#687C4×D314yescomplemented
310#686—34no—
311#685—61no—
312#685—61no—
313C4⋊Dic5—31no—
314C4⋊Dic5C22×D311yescharacteristic
315#683—21no—
316#683—61no—
317C4×Dic5—21no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C2×#168—31no—
321C2×#168—34no—
322C2×#168—31no—
323C2×#168—62no—
324C2×#168C22×D311yescharacteristic
325C2×#168C22×D311yescharacteristic
326C2×#135—151no—
327C4×#41—31no—
328C4×#41—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333#440—51no—
334#440—151no—
335#440—151no—
336#440—151no—
337#427—151no—
338#416—151no—
339#416—151no—
340C2×#97—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—22no—
346C2×D15—41no—
347C2×D15—41no—
348C2×C5×D3—21no—
349C2×C5×D3—21no—
350C2×C5×D3C4×D412yes—
351C3×C4×C5—21no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5C23×C411yescharacteristic
355C3×C4×C5C2×#4111yescharacteristic
356Dic15—41no—
357C3×Dic5—22no—
358C3×Dic5—41no—
359C5×Dic3—22no—
360C5×Dic3—21no—
361C5×Dic3—21no—
362C5×Dic3—41no—
363C5×Dic3C4×D412yes—
364C2×C3×Q8—51no—
365C2×C3×D4C22×D511yescharacteristic
366C22×C3×C4—21no—
367C2×#67—21no—
368C22×Dic3—21no—
369C22×Dic3—21no—
370#239—54no—
371#239—102no—
372#237—22no—
373#237C4×D514yescomplemented
374C2×D12—51no—
375C2×D12—101no—
376C2×C4×D3—101no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3C22⋊D511yescharacteristic
380C2×C4×D3C22⋊D511yescharacteristic
381C2×C4×D3C22×D511yescharacteristic
382C2×Dic6C22×D511yescharacteristic
383C3×SD16—54no—
384C2×C3×C8—51no—
385C2×C3×C8—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C22⋊C4—21no—
390C3×C42—101no—
391C3×C42C22×D511yescharacteristic
392#217—21no—
393#216—54no—
394#213—54no—
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—101no—
401C4⋊Dic3C22×D511yescharacteristic
402Dic3⋊C4—21no—
403Dic3⋊C4—21no—
404C4×Dic3—21no—
405C4×Dic3—21no—
406C4×Dic3—21no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3C22⋊D511yescharacteristic
410C4×Dic3C22⋊D511yescharacteristic
411C4×Dic3C22×D511yescharacteristic
412C2×C3⋊C8—51no—
413C2×C3⋊C8—51no—
414#204—54no—
415D3×C8—54no—
416D3×C8—102no—
417C23×C5—21no—
418C23×C5—31no—
419C22×D5—61no—
420C5×Q8—32no—
421C5×Q8—61no—
422C5×D4—21no—
423C5×D4—64no—
424C5×D4C2×C4×D312yes—
425C2×C4×C5—21no—
426C2×C4×C5—31no—
427C2×C4×C5—32no—
428C2×C4×C5—32no—
429C2×C4×C5—31no—
430C2×C4×C5—31no—
431C2×C4×C5—42no—
432C2×C4×C5—64no—
433C2×C4×C5—61no—
434C2×C4×C5—61no—
435C2×C4×C5—121no—
436C2×C4×C5—121no—
437C2×C4×C5—122no—
438C2×C4×C5D3×D411yescharacteristic
439C2×C4×C5D3×D411yescharacteristic
440C2×C4×C5C23×D311yescharacteristic
441C22⋊D5—64no—
442C2×Dic5—21no—
443C2×Dic5—21no—
444C2×Dic5—61no—
445D20—32no—
446D20—61no—
447C4×D5—64no—
448C4×D5—122no—
449C4×D5—122no—
450Dic10—21no—
451Dic10C2×C4×D312yes—
452#168—21no—
453#168—32no—
454#168—61no—
455#168C2×C4×D312yes—
456C2×#41—31no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—51no—
461C2×SD16—151no—
462C2×D8—151no—
463C22×C8—151no—
464C22×C8—151no—
465C4×Q8—31no—
466C4×Q8—31no—
467C4×Q8—51no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—61no—
471C4×D4—61no—
472C4×D4—151no—
473C4×D4—151no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4D3×D511yescharacteristic
477#117—31no—
478#117—61no—
479#117—151no—
480#117—301no—
481C2×C42—31no—
482C2×C42—61no—
483C2×C42—301no—
484#107—51no—
485#107—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—51no—
497#97—151no—
498#97—151no—
499#97—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57511yescharacteristic
503C2×C3×C5#57511yescharacteristic
504D15—42no—
505C5×D3—22no—
506C23×C3—21no—
507C22×D3—101no—
508C22×D3C2×C22⋊D511yescharacteristic
509C3×Q8—52no—
510C3×Q8—101no—
511C3×D4—21no—
512C3×D4C2×C4×D512yes—
513C2×C3×C4—21no—
514C2×C3×C4—42no—
515C2×C3×C4—101no—
516C2×C3×C4—101no—
517C2×C3×C4C2×C22⋊D511yescharacteristic
518C2×C3×C4C2×C22⋊D511yescharacteristic
519C2×C3×C4C23×D511yescharacteristic
520#67—24no—
521C2×Dic3—21no—
522C2×Dic3—24no—
523C2×Dic3—21no—
524C2×Dic3—42no—
525C2×Dic3—101no—
526C2×Dic3C2×C22⋊D511yescharacteristic
527C2×Dic3C2×C22⋊D511yescharacteristic
528C2×Dic3C2×C22⋊D511yescharacteristic
529D12—52no—
530D12—104no—
531D12—101no—
532C4×D3—41no—
533C4×D3—41no—
534C4×D3—104no—
535C4×D3—202no—
536C4×D3—202no—
537C4×D3C2×C4×D512yes—
538C4×D3#70912yes—
539Dic6—21no—
540Dic6C2×C4×D512yes—
541C3×C8—52no—
542C3×C8—101no—
543C3⋊C8—52no—
544C3⋊C8—101no—
545C22×C5—22no—
546C22×C5—32no—
547C22×C5—41no—
548C22×C5—41no—
549C22×C5—61no—
550C22×C5—61no—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—62no—
553C2×D5—121no—
554C2×D5—121no—
555C4×C5—21no—
556C4×C5—21no—
557C4×C5—32no—
558C4×C5—41no—
559C4×C5—61no—
560C4×C5—61no—
561C4×C5—62no—
562C4×C5—121no—
563C4×C5C22×C4×D311yescharacteristic
564C4×C5D3×#4111yescharacteristic
565Dic5—22no—
566Dic5—41no—
567Dic5—121no—
568#41—34no—
569#41—62no—
570#41—154no—
571#41—302no—
572C2×Q8—31no—
573C2×Q8—51no—
574C2×D4—61no—
575C2×D4—151no—
576C2×D4—301no—
577C2×D4C2×D3×D511yescharacteristic
578C22×C4—21no—
579C22×C4—31no—
580C22×C4—31no—
581C22×C4—31no—
582C22×C4—61no—
583C22×C4—61no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—54no—
589SD16—154no—
590D8—154no—
591C2×C8—51no—
592C2×C8—51no—
593C2×C8—154no—
594C2×C8—151no—
595C2×C8—151no—
596C2×C8—302no—
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—61no—
601C4⋊C4—101no—
602C4⋊C4—151no—
603C4⋊C4—301no—
604C4⋊C4C2×D3×D511yescharacteristic
605C22⋊C4—21no—
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—31no—
612C42—31no—
613C42—31no—
614C42—61no—
615C42—61no—
616C42—61no—
617C42—101no—
618C42—301no—
619C42—301no—
620C42C2×D3×D511yescharacteristic
621C3×C5#294311yescharacteristic, complemented, Hall
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3C22×C22⋊D511yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—102no—
629C2×D3—201no—
630C2×D3—201no—
631C2×D3C4×C22⋊D512yes—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—102no—
636C3×C4—201no—
637C3×C4C22×C4×D511yescharacteristic
638C3×C4C2×#70911yescharacteristic
639Dic3—22no—
640Dic3—21no—
641Dic3—21no—
642Dic3—41no—
643Dic3—201no—
644Dic3C4×C22⋊D512yes—
645C2×C5—42no—
646C2×C5—62no—
647C2×C5C4×D3×D411yescharacteristic
648C2×C5#577311yescharacteristic
649C2×C5#577711yescharacteristic
650D5—122no—
651C23—21no—
652C23—31no—
653C23—301no—
654Q8—32no—
655Q8—52no—
656Q8—61no—
657Q8—101no—
658D4—21no—
659D4—64no—
660D4—152no—
661D4—304no—
662D4—301no—
663D4C4×D3×D512yes—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—32no—
667C2×C4—32no—
668C2×C4—31no—
669C2×C4—31no—
670C2×C4—42no—
671C2×C4—64no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—101no—
675C2×C4—101no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—122no—
679C2×C4—304no—
680C2×C4—301no—
681C2×C4—602no—
682C2×C4—602no—
683C2×C4D3×C22⋊D511yescharacteristic
684C2×C4D3×C22⋊D511yescharacteristic
685C2×C4C22×D3×D511yescharacteristic
686C8—52no—
687C8—101no—
688C8—152no—
689C8—301no—
690C2×C3—42no—
691C2×C3C2×C4×C22⋊D511yescharacteristic
692C2×C3#6615611yescharacteristic
693C2×C3#6615611yescharacteristic
694D3—22no—
695D3—202no—
696C5#7977211yescharacteristic, complemented, Sylow
697C22—22no—
698C22—32no—
699C22—41no—
700C22—41no—
701C22—61no—
702C22—61no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22C2×D3×C22⋊D511yescharacteristic
707C4—21no—
708C4—21no—
709C4—32no—
710C4—41no—
711C4—61no—
712C4—62no—
713C4—61no—
714C4—102no—
715C4—121no—
716C4—201no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D3×#70911yescharacteristic
720C3#1061423711yescharacteristic, complemented, Sylow
721C2—42no—
722C2—62no—
723C2—602no—
724C2C4×D3×C22⋊D511yescharacteristic
725C2#1175469611yescharacteristic
726C2#1175534811yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×#91495C2
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5#2943
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C4×C5×#237C2semidirect
3. C4×#6769C2semidirect
4. #11751115C2semidirect
5. C3×#65307C2semidirect
6. #11749010C2semidirect
7. #11748989C2semidirect
8. #11748965C2semidirect
9. #11747504C2semidirect
10. #11747435C2semidirect
11. #11747267C2semidirect
12. #11747231C2semidirect
13. #11747089C2semidirect
14. #11747058C2semidirect
15. D3×#3935C2semidirect
33. #91495C4semidirect
71. #65307D3semidirect
85. C5×#237C2×C4semidirect
95. #6769C2×C4semidirect
99. #6715C2×C4semidirect
115. C3×#687C2×C4semidirect
126. #6661C2×C4semidirect
127. #6660C2×C4semidirect
129. D3×#168C2×C4semidirect
132. C4×#237D5semidirect
309. #687C4×D3semidirect
373. #237C4×D5semidirect
621. C3×C5#2943semidirect
696. C5#79772semidirect
720. C3#10614237semidirect

Maximal subgroups

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

subgroupindex
C4×C5×#2372
C2×#914952
C4×#67692
#117511152
C3×#653072
#117490102
#117489892
#117489652
#117475042
#117474352
#117472672
#117472312
#117470892
#117470582
D3×#39352
#106142373
#797725