Finite Group Databasebeta

← #14424725

Subgroups — #14424725

Order 1920.

1528 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#1009C211yesmaximal, characteristic, complemented
2C2×C3×#4096C211yesmaximal, characteristic, complemented
3#11754607C211yesmaximal, characteristic, complemented
4C2×#91299C211yesmaximal, characteristic, complemented
5#11751333C211yesmaximal, characteristic, complemented
6#11749305C212yesmaximal, complemented
7#11749281C212yesmaximal, complemented
8#11749058C212yesmaximal, complemented
9#11749032C212yesmaximal, complemented
10C2×#90967C211yesmaximal, characteristic, complemented
11#11748345C211yesmaximal, characteristic, complemented
12#10615833—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C5×#1009—24no—
15C5×#1009—24no—
16C2×C5×#239C2212yes—
17C2×C5×D3×D4—22no—
18C2×C5×D3×D4C2212yes—
19C2×C5×#235—21no—
20C2×C5×#235C2211yescharacteristic
21C22×C5×D12—21no—
22C22×C5×D12C2211yescharacteristic
23C2×C3×#709C2211yescharacteristic, complemented
24C2×C4⋊Dic15C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C3×#4096—24no—
27C2×C3×#689C2211yescharacteristic, complemented
28C2×C3×#688C2211yescharacteristic, complemented
29C2×C3×#687C2211yescharacteristic, complemented
30C2×C3×#686C2211yescharacteristic, complemented
31C22×C3×#168C2211yescharacteristic, complemented
32#91571—22no—
33#91456C2212yescomplemented
34#91449—21no—
35#91369C2212yescomplemented
36#91359—21no—
37C2×#6656C2212yescomplemented
38#91299—24no—
39C2×#6652C2212yescomplemented
40#91119C2212yescomplemented
41#91116C2212yescomplemented
42#90967C2212yescomplemented
43#90967C2212yescomplemented
44(C2×D3)⋊#168C2212yescomplemented
45(C2×D3)⋊#168C2212yescomplemented
46#83912—51nomaximal, Hall
47C2×C5×H(5,𝔽2)—31no—
48#66167—31no—
49C2×#4096D311yescharacteristic, complemented
50C2×#4078—31no—
51#65528—32no—
52#65527—32no—
53#65523—31no—
54#65521—31no—
55#65507—32no—
56#65506—32no—
57C2×#3964—31no—
58C23×C5×D3—21no—
59C23×C5×D3—22no—
60C3×C5×#41—22no—
61C3×C5×#41D414yescomplemented
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×D4—21no—
64C2×C3×C5×D4C2311yescharacteristic
65C22×C3×C4×C5—21no—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15—21no—
68C2×C5×#67—22no—
69C2×C5×#67D412yes—
70C5×#239—24no—
71C5×#239—24no—
72C5×D3×D4—216no—
73C5×D3×D4—24no—
74C5×D3×D4—24no—
75C5×#235—28no—
76C5×#235—22no—
77C5×#235—22no—
78C2×C5×D12—28no—
79C2×C5×D12—22no—
80C2×C5×D12—21no—
81C2×C5×D12—22no—
82C2×C5×D12D411yescharacteristic
83C2×C5×D12D414yescomplemented
84C2×C5×D12C2312yes—
85C2×C4×C5×D3—22no—
86C2×C4×C5×D3C2312yes—
87C2×C5×Dic6D411yescharacteristic
88C2×C3×C22⋊D5—21no—
89C3×#709—22no—
90C3×#709—22no—
91C2×C3×D20C2311yescharacteristic
92C2×C3×C4×D5—21no—
93C2×C3×Dic10C2311yescharacteristic
94C2×#1201—22no—
95C4⋊Dic15—21no—
96C4⋊Dic15C2312yes—
97#6710—22no—
98C2×C3⋊#168C2312yes—
99C3×#689—22no—
100C3×#688—22no—
101C3×#687—22no—
102C3×#686—22no—
103C2×C3×#168—22no—
104C2×C3×#168C2311yescharacteristic
105C2×C3×#168C2311yescharacteristic
106#6669—22no—
107(C2×D3)⋊Dic5—22no—
108#6665—22no—
109#6656—24no—
110#6652—24no—
111C2×#1009D511yescharacteristic, complemented
112C2×C3×#135—51no—
113#5833—51no—
114C2×#949—51no—
115#5232—51no—
116#5187—52no—
117#5172—52no—
118#5169—52no—
119#5156—52no—
120C2×#821—51no—
121#5110—51no—
122C5×H(5,𝔽2)—64no—
123C5×H(5,𝔽2)—64no—
124C2×C5×#41—31no—
125C2×C5×#41—32no—
126C2×C5×#41—61no—
127C2×C5×#41C2×D311yescharacteristic
128C22×C5×D4—32no—
129C22×C5×D4—31no—
130C22×C5×D4—61no—
131C22×C5×D4—62no—
132C2×#709C2×D311yescharacteristic, complemented
133#4096—24no—
134#4092—61no—
135C2×#689C2×D311yescharacteristic, complemented
136C2×#688C2×D311yescharacteristic, complemented
137#4085—62no—
138#4084—61no—
139C2×#687—32no—
140C2×#687C2×D311yescharacteristic, complemented
141#4078—64no—
142C2×#686—32no—
143C2×#686C2×D311yescharacteristic, complemented
144#4076—32no—
145C2×C4⋊Dic5—31no—
146#4070—32no—
147C2×#681—31no—
148C22×#168C2×D311yescharacteristic, complemented
149#3967—32no—
150#3964—32no—
151#3964—32no—
152#3964—32no—
153C22⋊#168—32no—
154C22⋊#168—32no—
155#3012—151noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D411yescharacteristic
158C22×C5×D3—22no—
159C22×C5×D3—28no—
160C22×C5×D3—24no—
161C22×C5×D3—82no—
162C22×C5×D3—82no—
163C22×C5×D3—81no—
164C22×C5×D3—81no—
165C22×C5×D3C2×D412yes—
166C22×C3×D5—21no—
167C3×C5×Q8—21no—
168C3×C5×Q8C2×D412yes—
169C3×C5×D4—24no—
170C3×C5×D4—21no—
171C3×C5×D4C2×D412yes—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2×D412yes—
177C2×C3×C4×C5C2411yescharacteristic
178C2×Dic15—22no—
179C2×Dic15—81no—
180C5×#67—28no—
181C5×#67—24no—
182C2×C5×Dic3C2×D412yes—
183C5×D12—28no—
184C5×D12—22no—
185C5×D12—24no—
186C5×D12—22no—
187C5×D12C2×D414yes—
188C4×C5×D3—28no—
189C4×C5×D3—22no—
190C4×C5×D3—22no—
191C5×Dic6—22no—
192C3×C22⋊D5—42no—
193C2×C3×Dic5—21no—
194C3×D20—21no—
195C3×D20—21no—
196C3×C4×D5—42no—
197C3×Dic10—21no—
198C3×Dic10—21no—
199#1201—82no—
200C3⋊#168—22no—
201C3×#168—21no—
202C3×#168—21no—
203C2×C3×#41—51no—
204C2×C3×#41C2×D511yescharacteristic
205#1009—24no—
206#1009—24no—
207C2×#239C2×D512yes—
208C2×D3×D4—22no—
209C2×D3×D4C2×D512yes—
210C2×#235—21no—
211C2×#235C2×D511yescharacteristic
212C22×D12—21no—
213C22×D12C2×D511yescharacteristic
214C3×#135—104no—
215C2×C3×Q16—51no—
216C2×C3×SD16—51no—
217C2×C3×SD16—51no—
218C2×C3×D8—51no—
219C22×C3×C8—51no—
220#949—104no—
221#946—52no—
222C2×#215—52no—
223#939—102no—
224#938—52no—
225C2×#213—52no—
226#930—101no—
227C2×C4⋊Dic3—51no—
228#924—101no—
229C2×#208—51no—
230#835—52no—
231#832—52no—
232#821—52no—
233#821—52no—
234(C2×D3)⋊C8—52no—
235(C2×D3)⋊C8—52no—
236C24×C5—62no—
237C24×C5—61no—
238C5×#41—22no—
239C5×#41—68no—
240C5×#41—64no—
241C5×#41—64no—
242C5×#41—62no—
243C5×#41—62no—
244C5×#41#6714yescomplemented
245C2×C5×Q8—31no—
246C2×C5×Q8C22×D311yescharacteristic
247C2×C5×D4—21no—
248C2×C5×D4—32no—
249C2×C5×D4—34no—
250C2×C5×D4—31no—
251C2×C5×D4—32no—
252C2×C5×D4—62no—
253C2×C5×D4—68no—
254C2×C5×D4—62no—
255C2×C5×D4—64no—
256C2×C5×D4—616no—
257C2×C5×D4—64no—
258C2×C5×D4—61no—
259C2×C5×D4—62no—
260C2×C5×D4C22×D311yescharacteristic
261C22×C4×C5—21no—
262C22×C4×C5—32no—
263C22×C4×C5—62no—
264C22×C4×C5C22×D311yescharacteristic
265C2×C22⋊D5—21no—
266C2×C22⋊D5—62no—
267C22×Dic5—61no—
268#709—22no—
269#709—22no—
270C2×D20C22×D311yescharacteristic
271C2×C4×D5—21no—
272C2×Dic10C22×D311yescharacteristic
273C22⋊Dic5—62no—
274#689—22no—
275#688—22no—
276#687—22no—
277#687—64no—
278#686—22no—
279#686—64no—
280#685—62no—
281C4⋊Dic5—32no—
282C4⋊Dic5—61no—
283#683—62no—
284#681—62no—
285C2×#168—22no—
286C2×#168—32no—
287C2×#168C22×D311yescharacteristic
288C2×#168C22×D311yescharacteristic
289C2×H(5,𝔽2)—31no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—51no—
292#537—151no—
293#452—152no—
294#450—152no—
295#449—152no—
296#447—152no—
297#417—151no—
298C2×#102—151no—
299#408—151no—
300C22×C3×C5—21no—
301C22×C3×C5—21no—
302C22×C3×C5—22no—
303C22×C3×C5—41no—
304C22×C3×C5—41no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×C5×D3—22no—
308C2×C5×D3—24no—
309C2×C5×D3—22no—
310C2×C5×D3—22no—
311C2×C5×D3—42no—
312C2×C5×D3—42no—
313C2×C5×D3—84no—
314C2×C5×D3—88no—
315C2×C3×D5—41no—
316C2×C3×D5—41no—
317C2×C3×D5—41no—
318C3×C4×C5—22no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322Dic15—42no—
323C3×Dic5—41no—
324C5×Dic3—22no—
325C23×D3—21no—
326C23×D3—22no—
327C3×#41—22no—
328C3×#41—102no—
329C3×#41—102no—
330C3×#41C22⋊D514yescomplemented
331C2×C3×Q8—51no—
332C2×C3×Q8C22×D511yescharacteristic
333C2×C3×D4—21no—
334C2×C3×D4—51no—
335C2×C3×D4—101no—
336C2×C3×D4C22×D511yescharacteristic
337C22×C3×C4—21no—
338C22×C3×C4—101no—
339C22×C3×C4C22×D511yescharacteristic
340C2×#67—22no—
341C2×#67—102no—
342C2×#67C22⋊D512yes—
343C22×Dic3—101no—
344#239—24no—
345#239—24no—
346D3×D4—216no—
347D3×D4—24no—
348D3×D4—24no—
349#235—28no—
350#235—22no—
351#235—22no—
352C2×D12—28no—
353C2×D12—22no—
354C2×D12—21no—
355C2×D12—22no—
356C2×D12C22⋊D511yescharacteristic
357C2×D12C22⋊D514yescomplemented
358C2×D12C22×D512yes—
359C2×C4×D3—22no—
360C2×C4×D3C22×D512yes—
361C2×Dic6C22⋊D511yescharacteristic
362C3×Q16—102no—
363C3×SD16—102no—
364C3×SD16—102no—
365C3×D8—102no—
366C2×C3×C8—51no—
367C2×C3×C8—51no—
368C2×C3×C8—102no—
369#217—102no—
370#215—104no—
371#213—104no—
372(C2×D3)⋊C4—102no—
373C4⋊Dic3—52no—
374C4⋊Dic3—101no—
375Dic3⋊C4—102no—
376#208—102no—
377C2×C3⋊C8—52no—
378C23×C5—21no—
379C23×C5—32no—
380C23×C5—68no—
381C23×C5—62no—
382C23×C5—64no—
383C23×C5—241no—
384C23×C5—241no—
385C23×C5—242no—
386C23×C5—242no—
387C23×C5D3×D411yescharacteristic
388C22×D5—21no—
389C5×Q8—21no—
390C5×Q8—62no—
391C5×Q8C2×#6712yes—
392C5×D4—24no—
393C5×D4—21no—
394C5×D4—34no—
395C5×D4—68no—
396C5×D4—68no—
397C5×D4—64no—
398C5×D4—64no—
399C5×D4—62no—
400C5×D4—62no—
401C5×D4C2×#6712yes—
402C2×C4×C5—21no—
403C2×C4×C5—24no—
404C2×C4×C5—32no—
405C2×C4×C5—68no—
406C2×C4×C5—62no—
407C2×C4×C5—62no—
408C2×C4×C5D3×D411yescharacteristic
409C2×C4×C5D3×D412yes—
410C2×C4×C5C2×#6712yes—
411C2×C4×C5C23×D311yescharacteristic
412C22⋊D5—42no—
413C22⋊D5—242no—
414C2×Dic5—21no—
415C2×Dic5—62no—
416C2×Dic5—241no—
417D20—21no—
418D20—21no—
419C4×D5—42no—
420Dic10—21no—
421Dic10—21no—
422#168—21no—
423#168—21no—
424#168—62no—
425H(5,𝔽2)—64no—
426H(5,𝔽2)—64no—
427C2×#41—31no—
428C2×#41—32no—
429C2×#41—51no—
430C2×#41—61no—
431C2×#41D3×D511yescharacteristic
432C22×D4—32no—
433C22×D4—31no—
434C22×D4—61no—
435C22×D4—62no—
436AGL(1,ℤ/8)—304no—
437#135—104no—
438C2×Q16—51no—
439C2×SD16—51no—
440C2×SD16—51no—
441C2×SD16—152no—
442C2×D8—51no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8—51no—
446C22⋊Q8—152no—
447C22⋊Q8—301no—
448#121—152no—
449#121—301no—
450#121—302no—
451C2×C4⋊C4—151no—
452#103—152no—
453#102—152no—
454#102—152no—
455#102—152no—
456C22⋊C8—152no—
457C22⋊C8—152no—
458C2×C3×C5—22no—
459C2×C3×C5—42no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463C3×D5—81no—
464C5×D3—42no—
465C5×D3—44no—
466C23×C3—21no—
467C23×C3—101no—
468C23×C3C2×C22⋊D511yescharacteristic
469C22×D3—22no—
470C22×D3—28no—
471C22×D3—24no—
472C22×D3—82no—
473C22×D3—82no—
474C22×D3—81no—
475C22×D3—81no—
476C22×D3C2×C22⋊D512yes—
477C3×Q8—21no—
478C3×Q8—101no—
479C3×Q8—101no—
480C3×Q8C2×C22⋊D512yes—
481C3×D4—24no—
482C3×D4—21no—
483C3×D4—101no—
484C3×D4—101no—
485C3×D4—202no—
486C3×D4C2×C22⋊D512yes—
487C2×C3×C4—21no—
488C2×C3×C4—24no—
489C2×C3×C4—101no—
490C2×C3×C4—202no—
491C2×C3×C4C2×C22⋊D512yes—
492C2×C3×C4C2×C22⋊D511yescharacteristic
493C2×C3×C4C2×C22⋊D512yes—
494C2×C3×C4C23×D511yescharacteristic
495#67—28no—
496#67—24no—
497#67—402no—
498C2×Dic3—102no—
499C2×Dic3—401no—
500C2×Dic3C2×C22⋊D512yes—
501D12—28no—
502D12—22no—
503D12—24no—
504D12—22no—
505D12C2×C22⋊D514yes—
506C4×D3—28no—
507C4×D3—22no—
508C4×D3—22no—
509Dic6—22no—
510C3×C8—101no—
511C3×C8—101no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—22no—
516C22×C5—41no—
517C22×C5—41no—
518C22×C5—62no—
519C22×C5—62no—
520C22×C5—64no—
521C22×C5—62no—
522C22×C5—122no—
523C22×C5—122no—
524C22×C5—244no—
525C22×C5—248no—
526C22×C5#93712yes—
527C22×C5C2×D3×D411yescharacteristic
528C2×D5—41no—
529C2×D5—41no—
530C2×D5—41no—
531C4×C5—22no—
532C4×C5—62no—
533C4×C5#93712yes—
534C4×C5C2×D3×D411yescharacteristic
535C4×C5C22×#6711yescharacteristic
536Dic5—41no—
537Dic5—122no—
538C24—62no—
539C24—61no—
540#41—22no—
541#41—68no—
542#41—64no—
543#41—64no—
544#41—62no—
545#41—62no—
546#41—102no—
547#41—102no—
548#41#120114yescomplemented
549C2×Q8—31no—
550C2×Q8—51no—
551C2×Q8C2×D3×D511yescharacteristic
552C2×D4—21no—
553C2×D4—32no—
554C2×D4—34no—
555C2×D4—31no—
556C2×D4—32no—
557C2×D4—51no—
558C2×D4—62no—
559C2×D4—68no—
560C2×D4—62no—
561C2×D4—64no—
562C2×D4—616no—
563C2×D4—64no—
564C2×D4—62no—
565C2×D4—61no—
566C2×D4—101no—
567C2×D4—302no—
568C2×D4C2×D3×D511yescharacteristic
569C22×C4—21no—
570C22×C4—32no—
571C22×C4—62no—
572C22×C4—101no—
573C22×C4—301no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—102no—
576SD16—102no—
577SD16—102no—
578SD16—304no—
579D8—102no—
580D8—304no—
581M16—302no—
582C2×C8—51no—
583C2×C8—51no—
584C2×C8—102no—
585C2×C8—152no—
586C4⋊C4—152no—
587C4⋊C4—302no—
588C4⋊C4—301no—
589C22⋊C4—302no—
590C22⋊C4—302no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—22no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—201no—
598C22×C3—201no—
599C22×C3—201no—
600C22×C3#409912yes—
601C22×C3C22×C22⋊D511yescharacteristic
602C2×D3—22no—
603C2×D3—22no—
604C2×D3—22no—
605C2×D3—24no—
606C2×D3—42no—
607C2×D3—42no—
608C2×D3—84no—
609C2×D3—88no—
610C3×C4—22no—
611C3×C4—201no—
612C3×C4#409912yes—
613C3×C4C22×C22⋊D511yescharacteristic
614C3×C4C22×C22⋊D511yescharacteristic
615Dic3—22no—
616Dic3—202no—
617C2×C5—22no—
618C2×C5—42no—
619C2×C5—122no—
620C2×C5—124no—
621C2×C5#576911yescharacteristic
622C2×C5#577011yescharacteristic
623C2×C5C2×#93711yescharacteristic
624D5—81no—
625C23—21no—
626C23—32no—
627C23—68no—
628C23—62no—
629C23—64no—
630C23—101no—
631C23—241no—
632C23—241no—
633C23—242no—
634C23—242no—
635C23D3×C22⋊D511yescharacteristic
636Q8—21no—
637Q8—62no—
638Q8—101no—
639Q8—101no—
640Q8C2×#120112yes—
641D4—24no—
642D4—21no—
643D4—34no—
644D4—68no—
645D4—68no—
646D4—64no—
647D4—62no—
648D4—64no—
649D4—62no—
650D4—101no—
651D4—101no—
652D4—202no—
653D4—1202no—
654D4C2×#120112yes—
655C2×C4—21no—
656C2×C4—24no—
657C2×C4—32no—
658C2×C4—68no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—101no—
662C2×C4—202no—
663C2×C4—302no—
664C2×C4—1201no—
665C2×C4C2×#120112yes—
666C2×C4D3×C22⋊D512yes—
667C2×C4D3×C22⋊D511yescharacteristic
668C2×C4C22×D3×D511yescharacteristic
669C8—101no—
670C8—101no—
671C8—302no—
672C2×C3—22no—
673C2×C3—42no—
674C2×C3—401no—
675C2×C3#6616911yescharacteristic
676C2×C3#6617011yescharacteristic
677C2×C3C2×#409911yescharacteristic
678D3—42no—
679D3—44no—
680C5#8391211yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—22no—
684C22—41no—
685C22—41no—
686C22—62no—
687C22—62no—
688C22—64no—
689C22—62no—
690C22—122no—
691C22—122no—
692C22—201no—
693C22—201no—
694C22—201no—
695C22—244no—
696C22—248no—
697C22#9156812yes—
698C22C2×D3×C22⋊D511yescharacteristic
699C4—22no—
700C4—62no—
701C4—201no—
702C4—602no—
703C4#9156812yes—
704C4C22×#120111yescharacteristic
705C4C2×D3×C22⋊D511yescharacteristic
706C3#1061583311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—42no—
709C2—122no—
710C2—124no—
711C2—401no—
712C2#1175532511yescharacteristic
713C2#1175534711yescharacteristic
714C2C2×#9156811yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
hypercenterC2×#41D3×D5
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C5×#1009C2semidirect
2. C2×C3×#4096C2semidirect
3. #11754607C2semidirect
4. C2×#91299C2semidirect
5. #11751333C2semidirect
6. #11749305C2semidirect
7. #11749281C2semidirect
8. #11749058C2semidirect
9. #11749032C2semidirect
10. C2×#90967C2semidirect
11. #11748345C2semidirect
23. C2×C3×#709C22semidirect
24. C2×C4⋊Dic15C22semidirect
25. C2×#6710C22semidirect
27. C2×C3×#689C22semidirect
28. C2×C3×#688C22semidirect
29. C2×C3×#687C22semidirect
30. C2×C3×#686C22semidirect
31. C22×C3×#168C22semidirect
33. #91456C22semidirect
35. #91369C22semidirect
37. C2×#6656C22semidirect
39. C2×#6652C22semidirect
40. #91119C22semidirect
41. #91116C22semidirect
42. #90967C22semidirect
43. #90967C22semidirect
44. (C2×D3)⋊#168C22semidirect
45. (C2×D3)⋊#168C22semidirect
49. C2×#4096D3semidirect
61. C3×C5×#41D4semidirect
83. C2×C5×D12D4semidirect
111. C2×#1009D5semidirect
132. C2×#709C2×D3semidirect
135. C2×#689C2×D3semidirect
136. C2×#688C2×D3semidirect
140. C2×#687C2×D3semidirect
143. C2×#686C2×D3semidirect
148. C22×#168C2×D3semidirect
244. C5×#41#67semidirect
330. C3×#41C22⋊D5semidirect
357. C2×D12C22⋊D5semidirect
548. #41#1201semidirect
591. C3×C5#3012semidirect
680. C5#83912semidirect
706. C3#10615833semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#10092
C2×C3×#40962
#117546072
C2×#912992
#117513332
#117493052
#117492812
#117490582
#117490322
C2×#909672
#117483452
#106158333
#839125