Finite Group Databasebeta

← #14424731

Subgroups — #14424731

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
2C3×#66167C211yesmaximal, characteristic, complemented
3C2×#91299C211yesmaximal, characteristic, complemented
4C2×#91297C211yesmaximal, characteristic, complemented
5#11751335C211yesmaximal, characteristic, complemented
6#11748538C212yesmaximal, complemented
7#11748537C212yesmaximal, complemented
8#11748517C212yesmaximal, complemented
9#11748516C212yesmaximal, complemented
10#11748384C211yesmaximal, characteristic, complemented
11C2×#90966C211yesmaximal, characteristic, complemented
12#10615833—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C5×#1009—24no—
15C5×#1009—24no—
16C2×C5×#239—21no—
17C2×C5×D3×D4—21no—
18C2×C5×D3×D4—22no—
19C2×C5×#235C2212yes—
20C2×C5×#235C2211yescharacteristic
21C22×C5×D12C2212yes—
22C22×C5×D12C2211yescharacteristic
23C2×C3×#709C2211yescharacteristic, complemented
24C2×#6710C2211yescharacteristic, complemented
25C22×C3⋊#168C2211yescharacteristic, complemented
26C3×#4092—21no—
27C3×#4085—22no—
28C3×#4084—21no—
29C3×#4076C2212yescomplemented
30C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
31C3×#4070C2212yescomplemented
32C2×#6661C2211yescharacteristic, complemented
33C2×#6656C2211yescharacteristic, complemented
34C2×#6656C2212yescomplemented
35C2×#6655C2211yescharacteristic, complemented
36#91299—24no—
37#91297—24no—
38C2×#6652C2211yescharacteristic, complemented
39C2×#6652C2212yescomplemented
40#91114C2212yescomplemented
41#91114C2212yescomplemented
42#90972C2212yescomplemented
43#90966C2212yescomplemented
44#90966C2212yescomplemented
45#90966C2212yescomplemented
46#83424—51nomaximal, Hall
47C2×C5×H(5,𝔽2)—31no—
48#66167D311yescharacteristic, complemented
49C2×#4096—31no—
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—22no—
59C23×C5×D3—21no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C2×C3×C5×Q8D411yescharacteristic
63C2×C3×C5×D4D411yescharacteristic
64C2×C3×C5×D4D412yes—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C2×C5×#67—22no—
68C2×C5×#67—21no—
69C5×#239—28no—
70C5×D3×D4—216no—
71C5×D3×D4—28no—
72C5×#235—22no—
73C5×#235—24no—
74C5×#235—24no—
75C5×#235D414yescomplemented
76C2×C5×D12—22no—
77C2×C5×D12—21no—
78C2×C5×D12—22no—
79C2×C5×D12—24no—
80C2×C5×D12—24no—
81C2×C5×D12D414yescomplemented
82C2×C5×D12C2311yescharacteristic
83C2×C5×D12C2312yes—
84C2×C4×C5×D3—22no—
85C2×C4×C5×D3—21no—
86C2×C5×Dic6C2311yescharacteristic
87C2×C3×C22⋊D5—21no—
88C2×C3×C22⋊D5—22no—
89C22×C3×Dic5—21no—
90C3×#709—22no—
91C3×#709—22no—
92C2×C3×D20C2311yescharacteristic
93C2×C3×C4×D5—21no—
94C2×C3×Dic10C2311yescharacteristic
95#6710—22no—
96C2×C3⋊#168—22no—
97C2×C3⋊#168C2311yescharacteristic
98C2×C3⋊#168C2311yescharacteristic
99C2×C3⋊#168C2312yes—
100C3×C22⋊Dic5—22no—
101C3×#685—22no—
102C3×C4⋊Dic5—21no—
103C3×C4⋊Dic5C2312yes—
104C3×#683—22no—
105#6661—22no—
106#6656—22no—
107#6656—24no—
108#6655—22no—
109#6652—22no—
110#6652—24no—
111C2×#1009D511yescharacteristic, complemented
112C3×#537—51no—
113C2×#950—51no—
114C2×#949—51no—
115#5234—51no—
116#5047—52no—
117#5046—52no—
118#5037—52no—
119#5036—52no—
120#4966—51no—
121C2×#809—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—31no—
129C22×C5×D4—32no—
130C22×C5×D4—61no—
131C22×C5×D4—62no—
132C2×#709C2×D311yescharacteristic, complemented
133#4096—64no—
134#4092—21no—
135C2×#689—31no—
136C2×#688—31no—
137#4085—22no—
138#4084—21no—
139C2×#687—32no—
140C2×#687—31no—
141#4078—64no—
142C2×#686—32no—
143C2×#686—31no—
144#4076C2×D312yescomplemented
145C2×C4⋊Dic5C2×D311yescharacteristic, complemented
146#4070C2×D312yescomplemented
147C2×#681—31no—
148C22×#168—31no—
149#3967—32no—
150#3964—32no—
151#3964—32no—
152#3964—32no—
153C22⋊#168—32no—
154C22⋊#168—32no—
155#3012—151noSylow
156C23×C3×C5C2×D412yes—
157C23×C3×C5C2×D411yescharacteristic
158C22×C5×D3—22no—
159C22×C5×D3—21no—
160C22×C5×D3—28no—
161C22×C5×D3—24no—
162C22×C5×D3—81no—
163C22×C5×D3—82no—
164C22×C5×D3—81no—
165C22×C5×D3—82no—
166C22×C3×D5—21no—
167C3×C5×Q8—22no—
168C3×C5×D4—24no—
169C3×C5×D4—22no—
170C2×C3×C4×C5—22no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5C2×D412yes—
173C2×C3×C4×C5C2×D411yescharacteristic
174C2×C3×C4×C5C2×D412yes—
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2411yescharacteristic
177C5×#67—28no—
178C5×#67—24no—
179C2×C5×Dic3—21no—
180C5×D12—28no—
181C5×D12—24no—
182C5×D12—21no—
183C5×D12—22no—
184C5×D12C2×D412yes—
185C5×D12C2×D414yes—
186C4×C5×D3—28no—
187C4×C5×D3—24no—
188C5×Dic6—21no—
189C5×Dic6C2×D412yes—
190C3×C22⋊D5—42no—
191C3×C22⋊D5—82no—
192C2×C3×Dic5—21no—
193C2×C3×Dic5—22no—
194C2×C3×Dic5—81no—
195C3×D20—21no—
196C3×D20—21no—
197C3×C4×D5—42no—
198C3×Dic10—21no—
199C3×Dic10—21no—
200C3⋊#168—21no—
201C3⋊#168—22no—
202C3⋊#168—21no—
203C2×C3×#41—51no—
204C2×C3×#41C2×D511yescharacteristic
205#1009—24no—
206#1009—24no—
207C2×#239—21no—
208C2×D3×D4—22no—
209C2×D3×D4—21no—
210C2×#235C2×D512yes—
211C2×#235C2×D511yescharacteristic
212C22×D12C2×D512yes—
213C22×D12C2×D511yescharacteristic
214C3×C22⋊Q8—52no—
215C3×C22⋊Q8—101no—
216C3×#121—52no—
217C3×#121—101no—
218C3×#121—102no—
219C2×C3×C4⋊C4—51no—
220#950—104no—
221#949—104no—
222C2×#216—51no—
223C2×#215—51no—
224C2×#215—52no—
225C2×#214—51no—
226C2×#213—51no—
227C2×#213—52no—
228C2×#208—51no—
229C22×C3⋊C8—51no—
230#830—52no—
231#830—52no—
232#810—52no—
233#809—52no—
234#809—52no—
235#809—52no—
236C24×C5—62no—
237C24×C5—61no—
238C5×#41—22no—
239C5×#41—22no—
240C5×#41—34no—
241C5×#41—64no—
242C5×#41—64no—
243C5×#41—68no—
244C5×#41—62no—
245C2×C5×Q8—31no—
246C2×C5×Q8#6711yescharacteristic
247C2×C5×D4—34no—
248C2×C5×D4—32no—
249C2×C5×D4—31no—
250C2×C5×D4—64no—
251C2×C5×D4—64no—
252C2×C5×D4—616no—
253C2×C5×D4—68no—
254C2×C5×D4—62no—
255C2×C5×D4—61no—
256C2×C5×D4—62no—
257C2×C5×D4—62no—
258C2×C5×D4—61no—
259C2×C5×D4#6711yescharacteristic
260C2×C5×D4#6712yes—
261C22×C4×C5—62no—
262C22×C4×C5—61no—
263C22×C4×C5C22×D312yes—
264C22×C4×C5C22×D311yescharacteristic
265C2×C22⋊D5—21no—
266C2×C22⋊D5—22no—
267C22×Dic5—21no—
268#709—22no—
269#709—22no—
270C2×D20C22×D311yescharacteristic
271C2×C4×D5—21no—
272C2×Dic10C22×D311yescharacteristic
273C22⋊Dic5—22no—
274#689—62no—
275#688—62no—
276#687—62no—
277#687—64no—
278#686—62no—
279#686—64no—
280#685—22no—
281C4⋊Dic5—21no—
282C4⋊Dic5C22×D312yes—
283#683—22no—
284#681—62no—
285C2×#168—31no—
286C2×#168—31no—
287C2×#168—32no—
288C2×#168—62no—
289C2×H(5,𝔽2)—31no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—151no—
292#537—51no—
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—22no—
304C22×C3×C5—22no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×C5×D3—24no—
308C2×C5×D3—22no—
309C2×C5×D3—42no—
310C2×C5×D3—41no—
311C2×C5×D3—42no—
312C2×C5×D3—41no—
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
322C3×Dic5—41no—
323C3×Dic5—42no—
324C5×Dic3—22no—
325C23×D3—22no—
326C23×D3—21no—
327C3×#41—22no—
328C3×#41—22no—
329C3×#41—102no—
330C3×#41—102no—
331C2×C3×Q8—51no—
332C2×C3×Q8C22⋊D511yescharacteristic
333C2×C3×D4—51no—
334C2×C3×D4—101no—
335C2×C3×D4—102no—
336C2×C3×D4C22⋊D512yes—
337C2×C3×D4C22⋊D511yescharacteristic
338C22×C3×C4—101no—
339C22×C3×C4—101no—
340C22×C3×C4C22×D512yes—
341C22×C3×C4C22×D511yescharacteristic
342C2×#67—22no—
343C2×#67—21no—
344#239—28no—
345D3×D4—216no—
346D3×D4—28no—
347#235—22no—
348#235—24no—
349#235—24no—
350#235C22⋊D514yescomplemented
351C2×D12—22no—
352C2×D12—21no—
353C2×D12—22no—
354C2×D12—24no—
355C2×D12—24no—
356C2×D12C22⋊D514yescomplemented
357C2×D12C22×D511yescharacteristic
358C2×D12C22×D512yes—
359C2×C4×D3—22no—
360C2×C4×D3—21no—
361C2×Dic6C22×D511yescharacteristic
362C3×C4⋊C4—52no—
363C3×C4⋊C4—102no—
364C3×C4⋊C4—101no—
365C3×C22⋊C4—102no—
366C3×C22⋊C4—102no—
367#216—102no—
368#215—104no—
369#215—102no—
370#214—102no—
371#213—104no—
372#213—102no—
373#208—102no—
374C2×C3⋊C8—51no—
375C2×C3⋊C8—51no—
376C2×C3⋊C8—52no—
377C2×C3⋊C8—102no—
378C23×C5—68no—
379C23×C5—62no—
380C23×C5—61no—
381C23×C5—64no—
382C23×C5—241no—
383C23×C5—241no—
384C23×C5—242no—
385C23×C5—242no—
386C23×C5C2×#6712yes—
387C23×C5C2×#6711yescharacteristic
388C22×D5—21no—
389C5×Q8—22no—
390C5×Q8—32no—
391C5×Q8—61no—
392C5×D4—24no—
393C5×D4—22no—
394C5×D4—34no—
395C5×D4—32no—
396C5×D4—68no—
397C5×D4—68no—
398C5×D4—64no—
399C5×D4—64no—
400C5×D4—61no—
401C5×D4—62no—
402C2×C4×C5—22no—
403C2×C4×C5—22no—
404C2×C4×C5—68no—
405C2×C4×C5—61no—
406C2×C4×C5—64no—
407C2×C4×C5D3×D412yes—
408C2×C4×C5D3×D412yes—
409C2×C4×C5C2×#6712yes—
410C2×C4×C5C2×#6711yescharacteristic
411C2×C4×C5C23×D311yescharacteristic
412C22⋊D5—42no—
413C22⋊D5—82no—
414C2×Dic5—21no—
415C2×Dic5—22no—
416C2×Dic5—81no—
417D20—21no—
418D20—21no—
419C4×D5—42no—
420Dic10—21no—
421Dic10—21no—
422#168—61no—
423#168—61no—
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—31no—
433C22×D4—32no—
434C22×D4—62no—
435C22×D4—61no—
436AGL(1,ℤ/8)—304no—
437#135—304no—
438C2×Q16—151no—
439C2×SD16—151no—
440C2×SD16—152no—
441C2×SD16—151no—
442C2×D8—151no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8—151no—
446C22⋊Q8—52no—
447C22⋊Q8—101no—
448#121—52no—
449#121—101no—
450#121—102no—
451C2×C4⋊C4—51no—
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—44no—
465C5×D3—42no—
466C23×C3—101no—
467C23×C3C2×C22⋊D512yes—
468C23×C3C2×C22⋊D511yescharacteristic
469C22×D3—22no—
470C22×D3—21no—
471C22×D3—28no—
472C22×D3—24no—
473C22×D3—81no—
474C22×D3—82no—
475C22×D3—81no—
476C22×D3—82no—
477C3×Q8—22no—
478C3×Q8—101no—
479C3×Q8—101no—
480C3×D4—24no—
481C3×D4—22no—
482C3×D4—101no—
483C3×D4—101no—
484C3×D4—202no—
485C3×D4—402no—
486C2×C3×C4—22no—
487C2×C3×C4—22no—
488C2×C3×C4—102no—
489C2×C3×C4—101no—
490C2×C3×C4—202no—
491C2×C3×C4—401no—
492C2×C3×C4C2×C22⋊D512yes—
493C2×C3×C4C2×C22⋊D511yescharacteristic
494C2×C3×C4C2×C22⋊D512yes—
495C2×C3×C4C2×C22⋊D512yes—
496C2×C3×C4C23×D511yescharacteristic
497#67—28no—
498#67—24no—
499C2×Dic3—21no—
500D12—28no—
501D12—24no—
502D12—21no—
503D12—22no—
504D12C2×C22⋊D512yes—
505D12C2×C22⋊D514yes—
506C4×D3—28no—
507C4×D3—24no—
508Dic6—21no—
509Dic6C2×C22⋊D512yes—
510C3⋊C8—101no—
511C3⋊C8—101no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—22no—
516C22×C5—22no—
517C22×C5—22no—
518C22×C5—64no—
519C22×C5—62no—
520C22×C5—122no—
521C22×C5—121no—
522C22×C5—122no—
523C22×C5—121no—
524C22×C5—244no—
525C22×C5—248no—
526C22×C5#93712yes—
527C22×C5C22×#6711yescharacteristic
528C2×D5—41no—
529C2×D5—41no—
530C2×D5—41no—
531C4×C5—22no—
532C4×C5—62no—
533C4×C5#93712yes—
534C4×C5C2×D3×D411yescharacteristic
535C4×C5C2×D3×D411yescharacteristic
536Dic5—41no—
537Dic5—42no—
538C24—62no—
539C24—61no—
540#41—22no—
541#41—22no—
542#41—34no—
543#41—64no—
544#41—64no—
545#41—68no—
546#41—62no—
547#41—102no—
548#41—102no—
549C2×Q8—31no—
550C2×Q8—51no—
551C2×Q8#120111yescharacteristic
552C2×D4—34no—
553C2×D4—32no—
554C2×D4—31no—
555C2×D4—51no—
556C2×D4—64no—
557C2×D4—64no—
558C2×D4—616no—
559C2×D4—68no—
560C2×D4—62no—
561C2×D4—61no—
562C2×D4—62no—
563C2×D4—61no—
564C2×D4—62no—
565C2×D4—101no—
566C2×D4—102no—
567C2×D4#120112yes—
568C2×D4#120111yescharacteristic
569C22×C4—62no—
570C22×C4—61no—
571C22×C4—101no—
572C22×C4—101no—
573C22×C4C2×D3×D512yes—
574C22×C4C2×D3×D511yescharacteristic
575Q16—302no—
576SD16—302no—
577SD16—304no—
578SD16—302no—
579D8—302no—
580D8—304no—
581M16—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8—152no—
585C2×C8—302no—
586C4⋊C4—52no—
587C4⋊C4—101no—
588C4⋊C4—102no—
589C22⋊C4—102no—
590C22⋊C4—102no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—201no—
598C22×C3—201no—
599C22×C3—201no—
600C22×C3#409912yes—
601C22×C3C22×C22⋊D511yescharacteristic
602C2×D3—24no—
603C2×D3—22no—
604C2×D3—42no—
605C2×D3—41no—
606C2×D3—42no—
607C2×D3—41no—
608C2×D3—84no—
609C2×D3—88no—
610C3×C4—22no—
611C3×C4—202no—
612C3×C4—201no—
613C3×C4#409912yes—
614C3×C4C22×C22⋊D511yescharacteristic
615C3×C4C22×C22⋊D511yescharacteristic
616Dic3—22no—
617C2×C5—22no—
618C2×C5—42no—
619C2×C5—124no—
620C2×C5—122no—
621C2×C5C2×#93711yescharacteristic
622C2×C5#583511yescharacteristic
623C2×C5#583711yescharacteristic
624D5—81no—
625C23—68no—
626C23—62no—
627C23—61no—
628C23—64no—
629C23—101no—
630C23—241no—
631C23—241no—
632C23—242no—
633C23—242no—
634C23C2×#120112yes—
635C23C2×#120111yescharacteristic
636Q8—22no—
637Q8—32no—
638Q8—61no—
639Q8—101no—
640Q8—101no—
641D4—24no—
642D4—22no—
643D4—34no—
644D4—32no—
645D4—68no—
646D4—68no—
647D4—64no—
648D4—61no—
649D4—62no—
650D4—64no—
651D4—101no—
652D4—101no—
653D4—202no—
654D4—402no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—68no—
658C2×C4—61no—
659C2×C4—64no—
660C2×C4—102no—
661C2×C4—101no—
662C2×C4—202no—
663C2×C4—401no—
664C2×C4C2×#120112yes—
665C2×C4C2×#120111yescharacteristic
666C2×C4D3×C22⋊D512yes—
667C2×C4D3×C22⋊D512yes—
668C2×C4C22×D3×D511yescharacteristic
669C8—301no—
670C8—301no—
671C8—302no—
672C2×C3—22no—
673C2×C3—42no—
674C2×C3—401no—
675C2×C3#6616911yescharacteristic
676C2×C3#6617011yescharacteristic
677C2×C3C2×#409911yescharacteristic
678D3—44no—
679D3—42no—
680C5#8342411yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—64no—
687C22—62no—
688C22—122no—
689C22—121no—
690C22—122no—
691C22—121no—
692C22—201no—
693C22—201no—
694C22—201no—
695C22—244no—
696C22—248no—
697C22#9156812yes—
698C22C22×#120111yescharacteristic
699C4—22no—
700C4—62no—
701C4—202no—
702C4—201no—
703C4#9156812yes—
704C4C2×D3×C22⋊D511yescharacteristic
705C4C2×D3×C22⋊D511yescharacteristic
706C3#1061583311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—42no—
709C2—124no—
710C2—122no—
711C2—401no—
712C2#1175530111yescharacteristic
713C2#1175530411yescharacteristic
714C2C2×#9156811yescharacteristic
subgroupG/H
centerC22C22×#1201
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 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C5×#1009C2semidirect
2. C3×#66167C2semidirect
3. C2×#91299C2semidirect
4. C2×#91297C2semidirect
5. #11751335C2semidirect
6. #11748538C2semidirect
7. #11748537C2semidirect
8. #11748517C2semidirect
9. #11748516C2semidirect
10. #11748384C2semidirect
11. C2×#90966C2semidirect
23. C2×C3×#709C22semidirect
24. C2×#6710C22semidirect
25. C22×C3⋊#168C22semidirect
29. C3×#4076C22semidirect
30. C2×C3×C4⋊Dic5C22semidirect
31. C3×#4070C22semidirect
32. C2×#6661C22semidirect
33. C2×#6656C22semidirect
34. C2×#6656C22semidirect
35. C2×#6655C22semidirect
38. C2×#6652C22semidirect
39. C2×#6652C22semidirect
40. #91114C22semidirect
41. #91114C22semidirect
42. #90972C22semidirect
43. #90966C22semidirect
44. #90966C22semidirect
45. #90966C22semidirect
48. #66167D3semidirect
75. C5×#235D4semidirect
81. C2×C5×D12D4semidirect
111. C2×#1009D5semidirect
132. C2×#709C2×D3semidirect
144. #4076C2×D3semidirect
145. C2×C4⋊Dic5C2×D3semidirect
146. #4070C2×D3semidirect
350. #235C22⋊D5semidirect
356. C2×D12C22⋊D5semidirect
591. C3×C5#3012semidirect
680. C5#83424semidirect
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
C3×#661672
C2×#912992
C2×#912972
#117513352
#117485382
#117485372
#117485172
#117485162
#117483842
C2×#909662
#106158333
#834245