Finite Group Databasebeta

← #14424644

Subgroups — #14424644

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×#92100C211yesmaximal, characteristic, complemented
2C3×C5×#537C211yesmaximal, characteristic, complemented
3C2×#91839C211yesmaximal, characteristic, complemented
4C2×#91838C211yesmaximal, characteristic, complemented
5#11751335C211yesmaximal, characteristic, complemented
6#11751148C212yesmaximal, complemented
7#11751147C212yesmaximal, complemented
8#11751138C212yesmaximal, complemented
9#11751137C212yesmaximal, complemented
10#11751067C211yesmaximal, characteristic, complemented
11C2×#91093C211yesmaximal, characteristic, complemented
12#10615155—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C2×C3×C5×#41C2211yescharacteristic, complemented
15#92100—24no—
16#92100—24no—
17C2×#6821—21no—
18C2×D4×D15—22no—
19C2×D4×D15—21no—
20C2×#6817C2212yes—
21C2×#6817C2211yescharacteristic
22C22×D60C2212yes—
23C22×D60C2211yescharacteristic
24C3×C5×C22⋊Q8—21no—
25C3×C5×C22⋊Q8C2212yescomplemented
26C3×C5×#121—21no—
27C3×C5×#121—22no—
28C3×C5×#121C2212yescomplemented
29C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
30#91839—24no—
31#91838—24no—
32C2×#6718C2211yescharacteristic, complemented
33C2×#6717C2212yescomplemented
34C2×#6717C2211yescharacteristic, complemented
35C2×#6716C2211yescharacteristic, complemented
36C2×#6715C2212yescomplemented
37C2×#6715C2211yescharacteristic, complemented
38C2×#6710C2211yescharacteristic, complemented
39C22×C3⋊#168C2211yescharacteristic, complemented
40#91114C2212yescomplemented
41#91114C2212yescomplemented
42#91094C2212yescomplemented
43#91093C2212yescomplemented
44#91093C2212yescomplemented
45#91093C2212yescomplemented
46#83424—51nomaximal, Hall
47C2×#4149—31no—
48C5×#537D311yescharacteristic, complemented
49C2×#4096—31no—
50C2×#4095—31no—
51#65523—31no—
52#65336—32no—
53#65335—32no—
54#65326—32no—
55#65325—32no—
56#65255—31no—
57C2×#3941—31no—
58C23×D15—22no—
59C23×D15—21no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C3×C5×#41—22no—
63C3×C5×#41—22no—
64C2×C3×C5×Q8D411yescharacteristic
65C2×C3×C5×Q8C2311yescharacteristic
66C2×C3×C5×D4—21no—
67C2×C3×C5×D4—22no—
68C2×C3×C5×D4D412yes—
69C2×C3×C5×D4D411yescharacteristic
70C2×C3×C5×D4C2311yescharacteristic
71C22×C3×C4×C5—21no—
72C22×C3×C4×C5—21no—
73C22×C3×C4×C5C2312yes—
74C22×C3×C4×C5C2311yescharacteristic
75C2×#1220—22no—
76C2×#1220—21no—
77#6821—28no—
78D4×D15—216no—
79D4×D15—28no—
80#6817—22no—
81#6817—24no—
82#6817—24no—
83#6817D414yescomplemented
84C2×D60—22no—
85C2×D60—21no—
86C2×D60—22no—
87C2×D60—24no—
88C2×D60—24no—
89C2×D60D414yescomplemented
90C2×D60C2311yescharacteristic
91C2×D60C2312yes—
92C2×C4×D15—22no—
93C2×C4×D15—21no—
94C2×Dic30C2311yescharacteristic
95C3×C5×C4⋊C4—21no—
96C3×C5×C4⋊C4—22no—
97C3×C5×C4⋊C4C2312yes—
98C3×C5×C22⋊C4—22no—
99C3×C5×C22⋊C4—22no—
100#6718—22no—
101#6717—24no—
102#6717—22no—
103#6716—22no—
104#6715—24no—
105#6715—22no—
106#6710—22no—
107C2×C3⋊#168—22no—
108C2×C3⋊#168C2311yescharacteristic
109C2×C3⋊#168C2311yescharacteristic
110C2×C3⋊#168C2312yes—
111C2×#1009—51no—
112C3×#537D511yescharacteristic, complemented
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—
122C2×C5×#41C2×D311yescharacteristic
123C2×C5×#41C2×D311yescharacteristic, complemented
124#4149—64no—
125#4149—64no—
126C2×#713—61no—
127C2×D4×D5—62no—
128C2×D4×D5—61no—
129C2×#709—31no—
130C2×#709—32no—
131C22×D20—31no—
132C22×D20—32no—
133C5×C22⋊Q8—21no—
134C5×C22⋊Q8C2×D312yescomplemented
135C5×#121—21no—
136C5×#121—22no—
137C5×#121C2×D312yescomplemented
138C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
139#4096—64no—
140#4095—64no—
141C2×#689—31no—
142C2×#688—31no—
143C2×#688—32no—
144C2×#687—31no—
145C2×#686—31no—
146C2×#686—32no—
147C2×#681—31no—
148C22×#168—31no—
149C22⋊#168—32no—
150C22⋊#168—32no—
151#3942—32no—
152#3941—32no—
153#3941—32no—
154#3941—32no—
155#3012—151noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D412yes—
158C23×C3×C5C2×D411yescharacteristic
159C22×D15—22no—
160C22×D15—21no—
161C22×D15—28no—
162C22×D15—24no—
163C22×D15—81no—
164C22×D15—82no—
165C22×D15—81no—
166C22×D15—82no—
167C3×C5×Q8—22no—
168C3×C5×Q8—21no—
169C3×C5×Q8—21no—
170C3×C5×D4—24no—
171C3×C5×D4—22no—
172C3×C5×D4—21no—
173C3×C5×D4—21no—
174C3×C5×D4—42no—
175C3×C5×D4—82no—
176C2×C3×C4×C5—22no—
177C2×C3×C4×C5—22no—
178C2×C3×C4×C5—22no—
179C2×C3×C4×C5—21no—
180C2×C3×C4×C5—42no—
181C2×C3×C4×C5—81no—
182C2×C3×C4×C5C2×D412yes—
183C2×C3×C4×C5C2×D411yescharacteristic
184C2×C3×C4×C5C2×D412yes—
185C2×C3×C4×C5C2×D412yes—
186C2×C3×C4×C5C2411yescharacteristic
187#1220—28no—
188#1220—24no—
189C2×Dic15—21no—
190D60—28no—
191D60—24no—
192D60—21no—
193D60—22no—
194D60C2×D412yes—
195D60C2×D414yes—
196C4×D15—28no—
197C4×D15—24no—
198Dic30—21no—
199Dic30C2×D412yes—
200C3⋊#168—21no—
201C3⋊#168—21no—
202C3⋊#168—22no—
203C2×C3×#41C2×D511yescharacteristic
204C2×C3×#41C2×D511yescharacteristic, complemented
205#1009—104no—
206#1009—104no—
207C2×#239—101no—
208C2×D3×D4—102no—
209C2×D3×D4—101no—
210C2×#235—51no—
211C2×#235—52no—
212C22×D12—51no—
213C22×D12—52no—
214C3×C22⋊Q8—21no—
215C3×C22⋊Q8C2×D512yescomplemented
216C3×#121—21no—
217C3×#121—22no—
218C3×#121C2×D512yescomplemented
219C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
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—
236C23×D5—62no—
237C23×D5—61no—
238C5×#41—22no—
239C5×#41—22no—
240C5×#41—22no—
241C5×#41—22no—
242C2×C5×Q8#6711yescharacteristic
243C2×C5×Q8C22×D311yescharacteristic
244C2×C5×D4—21no—
245C2×C5×D4—22no—
246C2×C5×D4#6712yes—
247C2×C5×D4#6711yescharacteristic
248C2×C5×D4C22×D311yescharacteristic
249C22×C4×C5—21no—
250C22×C4×C5—21no—
251C22×C4×C5C22×D312yes—
252C22×C4×C5C22×D311yescharacteristic
253C2×C22⋊D5—62no—
254C2×C22⋊D5—61no—
255#713—68no—
256D4×D5—616no—
257D4×D5—68no—
258#709—34no—
259#709—64no—
260#709—64no—
261#709—62no—
262C2×D20—34no—
263C2×D20—32no—
264C2×D20—31no—
265C2×D20—64no—
266C2×D20—64no—
267C2×D20—62no—
268C2×D20—62no—
269C2×D20—61no—
270C2×C4×D5—62no—
271C2×C4×D5—61no—
272C2×Dic10—31no—
273C5×C4⋊C4—21no—
274C5×C4⋊C4—22no—
275C5×C4⋊C4C22×D312yes—
276C5×C22⋊C4—22no—
277C5×C22⋊C4—22no—
278#689—62no—
279#688—62no—
280#688—64no—
281#687—62no—
282#686—62no—
283#686—64no—
284#681—62no—
285C2×#168—31no—
286C2×#168—31no—
287C2×#168—32no—
288C2×#168—62no—
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—151no—
292#537D1511yescharacteristic, complemented
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—41no—
306C22×C3×C5—41no—
307C22×C3×C5—41no—
308C22×C3×C5#12012yes—
309C22×C3×C5C22×D411yescharacteristic
310C2×D15—24no—
311C2×D15—22no—
312C2×D15—42no—
313C2×D15—41no—
314C2×D15—42no—
315C2×D15—41no—
316C2×D15—84no—
317C2×D15—88no—
318C3×C4×C5—22no—
319C3×C4×C5—41no—
320C3×C4×C5—42no—
321C3×C4×C5#12012yes—
322C3×C4×C5C22×D411yescharacteristic
323C3×C4×C5C22×D411yescharacteristic
324Dic15—22no—
325C23×D3—102no—
326C23×D3—101no—
327C3×#41—22no—
328C3×#41—22no—
329C3×#41—22no—
330C3×#41—22no—
331C2×C3×Q8C22⋊D511yescharacteristic
332C2×C3×Q8C22×D511yescharacteristic
333C2×C3×D4—21no—
334C2×C3×D4—22no—
335C2×C3×D4C22⋊D512yes—
336C2×C3×D4C22⋊D511yescharacteristic
337C2×C3×D4C22×D511yescharacteristic
338C22×C3×C4—21no—
339C22×C3×C4—21no—
340C22×C3×C4C22×D512yes—
341C22×C3×C4C22×D511yescharacteristic
342C2×#67—102no—
343C2×#67—101no—
344#239—108no—
345D3×D4—1016no—
346D3×D4—108no—
347#235—54no—
348#235—104no—
349#235—104no—
350#235—102no—
351C2×D12—54no—
352C2×D12—52no—
353C2×D12—51no—
354C2×D12—104no—
355C2×D12—104no—
356C2×D12—102no—
357C2×D12—102no—
358C2×D12—101no—
359C2×C4×D3—102no—
360C2×C4×D3—101no—
361C2×Dic6—51no—
362C3×C4⋊C4—21no—
363C3×C4⋊C4—22no—
364C3×C4⋊C4C22×D512yes—
365C3×C22⋊C4—22no—
366C3×C22⋊C4—22no—
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—21no—
379C23×C5C2×#6712yes—
380C23×C5C2×#6711yescharacteristic
381C22×D5—62no—
382C22×D5—61no—
383C22×D5—68no—
384C22×D5—64no—
385C22×D5—241no—
386C22×D5—242no—
387C22×D5—241no—
388C22×D5—242no—
389C5×Q8—22no—
390C5×Q8—21no—
391C5×Q8—21no—
392C5×D4—24no—
393C5×D4—22no—
394C5×D4—21no—
395C5×D4—21no—
396C5×D4—42no—
397C5×D4—82no—
398C2×C4×C5—22no—
399C2×C4×C5—22no—
400C2×C4×C5—22no—
401C2×C4×C5—21no—
402C2×C4×C5—42no—
403C2×C4×C5—81no—
404C2×C4×C5D3×D412yes—
405C2×C4×C5D3×D412yes—
406C2×C4×C5C2×#6712yes—
407C2×C4×C5C2×#6711yescharacteristic
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—68no—
410C22⋊D5—64no—
411C2×Dic5—61no—
412D20—34no—
413D20—32no—
414D20—68no—
415D20—64no—
416D20—62no—
417D20—61no—
418C4×D5—68no—
419C4×D5—64no—
420Dic10—32no—
421Dic10—61no—
422#168—61no—
423#168—61no—
424#168—62no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—151no—
428C2×#41—152no—
429C2×#41—301no—
430C2×#41C2×D1511yescharacteristic
431C2×#41C2×D1511yescharacteristic, complemented
432C22×D4—151no—
433C22×D4—152no—
434C22×D4—302no—
435C22×D4—301no—
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—21no—
447C22⋊Q8C2×D1512yescomplemented
448#121—21no—
449#121—22no—
450#121C2×D1512yescomplemented
451C2×C4⋊C4C2×D1511yescharacteristic, complemented
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×C5—81no—
461C2×C3×C5C2×#12011yescharacteristic
462C2×C3×C5#57611yescharacteristic
463C2×C3×C5#57711yescharacteristic
464D15—44no—
465D15—42no—
466C23×C3—21no—
467C23×C3C2×C22⋊D512yes—
468C23×C3C2×C22⋊D511yescharacteristic
469C22×D3—102no—
470C22×D3—101no—
471C22×D3—108no—
472C22×D3—104no—
473C22×D3—401no—
474C22×D3—402no—
475C22×D3—401no—
476C22×D3—402no—
477C3×Q8—22no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×D4—24no—
481C3×D4—21no—
482C3×D4—21no—
483C3×D4—22no—
484C3×D4—42no—
485C3×D4—82no—
486C2×C3×C4—22no—
487C2×C3×C4—22no—
488C2×C3×C4—22no—
489C2×C3×C4—21no—
490C2×C3×C4—42no—
491C2×C3×C4—81no—
492C2×C3×C4D4×D512yes—
493C2×C3×C4D4×D512yes—
494C2×C3×C4C2×C22⋊D512yes—
495C2×C3×C4C2×C22⋊D511yescharacteristic
496C2×C3×C4C23×D511yescharacteristic
497#67—108no—
498#67—104no—
499C2×Dic3—101no—
500D12—54no—
501D12—52no—
502D12—108no—
503D12—102no—
504D12—101no—
505D12—104no—
506C4×D3—108no—
507C4×D3—104no—
508Dic6—52no—
509Dic6—101no—
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—41no—
519C22×C5—41no—
520C22×C5—41no—
521C22×C5#93712yes—
522C22×C5C22×#6711yescharacteristic
523C2×D5—64no—
524C2×D5—62no—
525C2×D5—122no—
526C2×D5—121no—
527C2×D5—122no—
528C2×D5—121no—
529C2×D5—244no—
530C2×D5—248no—
531C4×C5—22no—
532C4×C5—41no—
533C4×C5—42no—
534C4×C5#93712yes—
535C4×C5C2×D3×D411yescharacteristic
536C4×C5C2×D3×D411yescharacteristic
537Dic5—62no—
538C24—302no—
539C24—301no—
540#41—22no—
541#41—22no—
542#41—22no—
543#41—22no—
544#41—154no—
545#41—304no—
546#41—304no—
547#41—308no—
548#41—302no—
549C2×Q8—151no—
550C2×Q8#122011yescharacteristic
551C2×Q8C22×D1511yescharacteristic
552C2×D4—21no—
553C2×D4—22no—
554C2×D4—154no—
555C2×D4—152no—
556C2×D4—151no—
557C2×D4—304no—
558C2×D4—304no—
559C2×D4—3016no—
560C2×D4—308no—
561C2×D4—302no—
562C2×D4—301no—
563C2×D4—302no—
564C2×D4—302no—
565C2×D4—301no—
566C2×D4#122012yes—
567C2×D4#122011yescharacteristic
568C2×D4C22×D1511yescharacteristic
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—302no—
572C22×C4—301no—
573C22×C4C22×D1512yes—
574C22×C4C22×D1511yescharacteristic
575Q16—302no—
576SD16—302no—
577SD16—302no—
578SD16—304no—
579D8—302no—
580D8—304no—
581M16—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8—152no—
585C2×C8—302no—
586C4⋊C4—21no—
587C4⋊C4—22no—
588C4⋊C4C22×D1512yes—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—41no—
598C22×C3—41no—
599C22×C3—41no—
600C22×C3#408312yes—
601C22×C3C22×C22⋊D511yescharacteristic
602C2×D3—104no—
603C2×D3—102no—
604C2×D3—202no—
605C2×D3—201no—
606C2×D3—202no—
607C2×D3—201no—
608C2×D3—404no—
609C2×D3—408no—
610C3×C4—22no—
611C3×C4—41no—
612C3×C4—42no—
613C3×C4#408312yes—
614C3×C4C2×D4×D511yescharacteristic
615C3×C4C2×D4×D511yescharacteristic
616Dic3—102no—
617C2×C5—22no—
618C2×C5—42no—
619C2×C5—81no—
620C2×C5C2×#93711yescharacteristic
621C2×C5#583511yescharacteristic
622C2×C5#583711yescharacteristic
623D5—124no—
624D5—122no—
625C23—21no—
626C23—308no—
627C23—302no—
628C23—301no—
629C23—304no—
630C23—1201no—
631C23—1201no—
632C23—1202no—
633C23—1202no—
634C23C2×#122012yes—
635C23C2×#122011yescharacteristic
636Q8—22no—
637Q8—21no—
638Q8—21no—
639Q8—152no—
640Q8—301no—
641D4—24no—
642D4—22no—
643D4—21no—
644D4—21no—
645D4—42no—
646D4—82no—
647D4—154no—
648D4—152no—
649D4—308no—
650D4—308no—
651D4—304no—
652D4—304no—
653D4—301no—
654D4—302no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—42no—
660C2×C4—81no—
661C2×C4—308no—
662C2×C4—301no—
663C2×C4—304no—
664C2×C4D4×D1512yes—
665C2×C4D4×D1512yes—
666C2×C4C2×#122012yes—
667C2×C4C2×#122011yescharacteristic
668C2×C4C23×D1511yescharacteristic
669C8—301no—
670C8—301no—
671C8—302no—
672C2×C3—22no—
673C2×C3—42no—
674C2×C3—81no—
675C2×C3C2×#408311yescharacteristic
676C2×C3#6616911yescharacteristic
677C2×C3#6617111yescharacteristic
678D3—204no—
679D3—202no—
680C5#8342411yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—304no—
690C22—302no—
691C22—602no—
692C22—601no—
693C22—602no—
694C22—601no—
695C22—1204no—
696C22—1208no—
697C22#9182612yes—
698C22C22×#122011yescharacteristic
699C4—22no—
700C4—41no—
701C4—42no—
702C4—302no—
703C4#9182612yes—
704C4C2×D4×D1511yescharacteristic
705C4C2×D4×D1511yescharacteristic
706C3#1061515511yescharacteristic, complemented, Sylow
707C2—22no—
708C2—42no—
709C2—81no—
710C2—604no—
711C2—602no—
712C2C2×#9182611yescharacteristic
713C2#1175659411yescharacteristic
714C2#1175659611yescharacteristic
subgroupG/H
centerC22C22×#1220
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#537C2
socleC22×C3×C5C22×D4
hypercenter#537D15
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×#41 ◁ #537

Complements

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

NH ≅ G/Ntype
1. C2×#92100C2semidirect
2. C3×C5×#537C2semidirect
3. C2×#91839C2semidirect
4. C2×#91838C2semidirect
5. #11751335C2semidirect
6. #11751148C2semidirect
7. #11751147C2semidirect
8. #11751138C2semidirect
9. #11751137C2semidirect
10. #11751067C2semidirect
11. C2×#91093C2semidirect
14. C2×C3×C5×#41C22semidirect
25. C3×C5×C22⋊Q8C22semidirect
28. C3×C5×#121C22semidirect
29. C2×C3×C5×C4⋊C4C22semidirect
32. C2×#6718C22semidirect
33. C2×#6717C22semidirect
34. C2×#6717C22semidirect
35. C2×#6716C22semidirect
36. C2×#6715C22semidirect
37. C2×#6715C22semidirect
38. C2×#6710C22semidirect
39. C22×C3⋊#168C22semidirect
40. #91114C22semidirect
41. #91114C22semidirect
42. #91094C22semidirect
43. #91093C22semidirect
44. #91093C22semidirect
45. #91093C22semidirect
48. C5×#537D3semidirect
83. #6817D4semidirect
89. C2×D60D4semidirect
112. C3×#537D5semidirect
123. C2×C5×#41C2×D3semidirect
134. C5×C22⋊Q8C2×D3semidirect
137. C5×#121C2×D3semidirect
138. C2×C5×C4⋊C4C2×D3semidirect
204. C2×C3×#41C2×D5semidirect
215. C3×C22⋊Q8C2×D5semidirect
218. C3×#121C2×D5semidirect
219. C2×C3×C4⋊C4C2×D5semidirect
292. #537D15semidirect
431. C2×#41C2×D15semidirect
447. C22⋊Q8C2×D15semidirect
450. #121C2×D15semidirect
451. C2×C4⋊C4C2×D15semidirect
591. C3×C5#3012semidirect
680. C5#83424semidirect
706. C3#10615155semidirect

Maximal subgroups

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

subgroupindex
C2×#921002
C3×C5×#5372
C2×#918392
C2×#918382
#117513352
#117511482
#117511472
#117511382
#117511372
#117510672
C2×#910932
#106151553
#834245