Finite Group Databasebeta

← #14425344

Subgroups — #14425344

Order 1920.

1524 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92017C211yesmaximal, characteristic, complemented
2#11756581C211yesmaximal, characteristic, complemented
3C5×#5822C211yesmaximal, characteristic, complemented
4C3×#66164C211yesmaximal, characteristic, complemented
5#11749409C214yesmaximal, complemented
6#11749163C214yesmaximal, complemented
7#11748429C211yesmaximal, characteristic, complemented
8#11748425C211yesmaximal, characteristic, complemented
9C2×#90958C211yesmaximal, characteristic, complemented
10#10615736—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic, complemented
12C2×#6817C2211yescharacteristic
13C2×C5×#235C2211yescharacteristic
14C22×C3×D20C2211yescharacteristic
15C2×D5×#67—22no—
16#92017—22no—
17#92017—22no—
18#92017—22no—
19#92017C2214yes—
20C2×#6777—21no—
21C2×D3×D20—21no—
22C2×#6766—21no—
23C2×#6765—21no—
24#91840—21no—
25#91839—22no—
26#91838—21no—
27#91831C2212yescomplemented
28#91821C2212yescomplemented
29C2×#6710C2211yescharacteristic, complemented
30C5×#951—21no—
31C5×#950—22no—
32C5×#949—21no—
33C5×#942C2212yescomplemented
34C5×#932C2212yescomplemented
35C2×C5×#208C2211yescharacteristic, complemented
36C3×#4093C2212yescomplemented
37C3×#4086C2212yescomplemented
38C3×#4083—22no—
39C3×#4076—22no—
40C3×#4072C2211yescharacteristic, complemented
41#90981C2214yescomplemented
42#90979C2214yescomplemented
43#90958C2214yescomplemented
44#83394—51nomaximal, Hall
45C2×#4149—31no—
46C5×#575—31no—
47#66164D311yescharacteristic, complemented
48#66156—31no—
49#65525—31no—
50#65491—34no—
51#65487—34no—
52#65428—31no—
53C2×#3955—31no—
54C23×C3×D5D412yes—
55C22×D3×D5—22no—
56C3×C5×#41—21no—
57C3×C5×#41—21no—
58C3×C5×#41—21no—
59C3×C5×#41—21no—
60C2×C3×C5×Q8C2311yescharacteristic, complemented
61C2×C3×C5×D4—21no—
62C2×C3×C5×D4C2311yescharacteristic, complemented
63C22×C3×C4×C5—21no—
64C22×C3×C4×C5C2311yescharacteristic
65C2×#1220—21no—
66#6817—21no—
67#6817—21no—
68#6817D412yescomplemented
69#6817C2312yes—
70C2×D60D411yescharacteristic, complemented
71C2×C4×D15—21no—
72C2×Dic30D411yescharacteristic, complemented
73C2×C5×#67—21no—
74C5×#235—21no—
75C5×#235—21no—
76C5×#235D412yescomplemented
77C5×#235C2312yes—
78C2×C5×D12D411yescharacteristic, complemented
79C2×C4×C5×D3—21no—
80C2×C5×Dic6D411yescharacteristic, complemented
81C2×C3×C22⋊D5—24no—
82C2×C3×D20—21no—
83C2×C3×D20—21no—
84C2×C3×D20—21no—
85C2×C3×D20—21no—
86C2×C3×D20D412yes—
87C2×C3×D20C2312yes—
88D5×#67—28no—
89D5×#67—28no—
90C2×#1202—22no—
91C2×#1201—22no—
92C2×D5×Dic3—22no—
93#6777—24no—
94#6777—24no—
95D3×D20—24no—
96D3×D20—24no—
97#6766—24no—
98#6766—24no—
99#6765—24no—
100#6765—24no—
101#6718—22no—
102#6717—22no—
103#6716—22no—
104#6715—22no—
105#6710—21no—
106#6710C2312yescomplemented
107C2×C3⋊#168—21no—
108C5×#216—22no—
109C5×#215—22no—
110C5×#214—22no—
111C5×#213—22no—
112C5×#208—21no—
113C5×#208C2312yescomplemented
114C2×C5×C3⋊C8—21no—
115C3×C22⋊Dic5—21no—
116C3×#685—24no—
117C3×C4⋊Dic5—21no—
118C3×C4×Dic5C2312yescomplemented
119C2×#1004—51no—
120C3×#535—51no—
121#5822—51no—
122#5822D511yescharacteristic, complemented
123C2×#833—51no—
124#5077—54no—
125#5061—54no—
126#5005—51no—
127#5005—51no—
128C2×C5×#41—31no—
129C2×C5×#41C2×D311yescharacteristic, complemented
130#4149—34no—
131#4149—62no—
132#4149—62no—
133#4149—62no—
134C2×#713—61no—
135C2×D4×D5—61no—
136C2×D4×D5—62no—
137C2×#709—31no—
138C2×#709—61no—
139C22×D20—61no—
140C22×D20C2×D311yescharacteristic
141C5×#137—32no—
142C5×#137—61no—
143C5×AGL(1,ℤ/8)—32no—
144C5×AGL(1,ℤ/8)—61no—
145C5×#135—62no—
146C2×C5×M16—31no—
147#4097—61no—
148#4096—62no—
149#4095—61no—
150#4093C2×D312yescomplemented
151#4088—32no—
152#4086C2×D312yescomplemented
153#4083—22no—
154#4078—32no—
155#4076—22no—
156#4072C2×D311yescharacteristic, complemented
157C2×#681—31no—
158#3969—34no—
159#3957—34no—
160#3955—34no—
161#3019—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×D15—21no—
165C22×C5×D3—21no—
166C22×C3×D5—22no—
167C22×C3×D5—22no—
168C22×C3×D5—82no—
169C22×C3×D5C2×D414yes—
170C2×D3×D5—28no—
171C2×D3×D5—84no—
172C3×C5×Q8—21no—
173C3×C5×Q8—21no—
174C3×C5×D4—21no—
175C3×C5×D4—21no—
176C3×C5×D4—41no—
177C3×C5×D4—41no—
178C2×C3×C4×C5—21no—
179C2×C3×C4×C5—41no—
180C2×C3×C4×C5—41no—
181C2×C3×C4×C5C2×D411yescharacteristic
182C2×C3×C4×C5C2×D411yescharacteristic
183C2×C3×C4×C5C2×D411yescharacteristic
184C2×C3×C4×C5C2×D411yescharacteristic
185C2×C3×C4×C5C2×D411yescharacteristic
186C2×C3×C4×C5C2411yescharacteristic
187#1220—22no—
188#1220—22no—
189C2×Dic15—21no—
190D60—21no—
191D60C2×D412yes—
192C4×D15—22no—
193C4×D15—22no—
194Dic30—21no—
195Dic30C2×D412yes—
196C5×#67—22no—
197C5×#67—22no—
198C2×C5×Dic3—21no—
199C5×D12—21no—
200C5×D12C2×D412yes—
201C4×C5×D3—22no—
202C4×C5×D3—22no—
203C5×Dic6—21no—
204C5×Dic6C2×D412yes—
205C3×C22⋊D5—84no—
206C2×C3×Dic5—22no—
207C3×D20—22no—
208C3×D20—22no—
209C3×D20—22no—
210C3×D20—22no—
211#1202—28no—
212#1201—28no—
213D5×Dic3—28no—
214C3⋊#168—22no—
215C5×C3⋊C8—22no—
216C2×C3×#41C2×D511yescharacteristic, complemented
217C22×C3×D4—51no—
218C22×#67—102no—
219#1004—54no—
220#1004—102no—
221#1004—102no—
222#1004—102no—
223C2×#237—101no—
224C2×#237—101no—
225C2×D3×D4—101no—
226C2×D3×D4—101no—
227C2×#235—51no—
228C2×#235C2×D511yescharacteristic
229C3×#127—52no—
230C3×#124—52no—
231C3×#121—102no—
232C3×#120—102no—
233C3×#117—51no—
234#951—21no—
235#951—101no—
236#950—22no—
237#950—102no—
238#949—21no—
239#949—101no—
240#942—52no—
241#942C2×D512yescomplemented
242#932—52no—
243#932C2×D512yescomplemented
244C2×#208—51no—
245C2×#208C2×D511yescharacteristic, complemented
246#833—54no—
247#805—54no—
248#805—54no—
249C23×D5—62no—
250C23×D5#6712yes—
251C5×#41—21no—
252C5×#41—21no—
253C5×#41—21no—
254C5×#41—21no—
255C5×#41—32no—
256C5×#41—32no—
257C5×#41—61no—
258C5×#41—61no—
259C2×C5×Q8—31no—
260C2×C5×Q8C22×D311yescharacteristic, complemented
261C2×C5×D4—21no—
262C2×C5×D4—31no—
263C2×C5×D4—61no—
264C2×C5×D4C22×D311yescharacteristic, complemented
265C22×C4×C5—21no—
266C22×C4×C5—61no—
267C22×C4×C5C22×D311yescharacteristic
268C2×C22⋊D5—24no—
269C2×C22⋊D5—62no—
270C2×C22⋊D5—61no—
271#713—64no—
272#713—64no—
273D4×D5—64no—
274D4×D5—64no—
275D4×D5—68no—
276D4×D5—68no—
277#709—32no—
278#709—32no—
279#709—64no—
280#709—64no—
281#709—61no—
282#709—61no—
283C2×D20—21no—
284C2×D20—21no—
285C2×D20—21no—
286C2×D20—21no—
287C2×D20—31no—
288C2×D20—64no—
289C2×D20—64no—
290C2×D20—62no—
291C2×D20#6712yes—
292C2×D20C22×D312yes—
293C2×C4×D5—62no—
294C2×C4×D5—61no—
295C2×Dic10—31no—
296C5×Q16—62no—
297C5×SD16—62no—
298C5×SD16—62no—
299C5×D8—62no—
300C5×M16—32no—
301C5×M16—61no—
302C2×C5×C8—61no—
303C22⋊Dic5—21no—
304#689—62no—
305#688—62no—
306#687—62no—
307#686—62no—
308#685—24no—
309C4⋊Dic5—21no—
310C4×Dic5C22×D312yescomplemented
311#681—32no—
312#681—61no—
313C2×#168—61no—
314C2×H(5,𝔽2)—151no—
315#575—31no—
316#575—151no—
317#535—51no—
318#455—154no—
319#453—154no—
320#421—151no—
321#421—151no—
322C2×#100—151no—
323C22×C3×C5—41no—
324C22×C3×C5—42no—
325C22×C3×C5—41no—
326C22×C3×C5#12011yescharacteristic
327C22×C3×C5#12011yescharacteristic
328C22×C3×C5C22×D411yescharacteristic
329C2×D15—22no—
330C2×D15—42no—
331C2×C5×D3—22no—
332C2×C5×D3—42no—
333C2×C3×D5—24no—
334C2×C3×D5—44no—
335C2×C3×D5—44no—
336C2×C3×D5—82no—
337D3×D5—88no—
338C3×C4×C5—41no—
339C3×C4×C5#12011yescharacteristic
340C3×C4×C5#12011yescharacteristic
341C3×C4×C5C22×D411yescharacteristic
342C3×C4×C5C22×D411yescharacteristic
343Dic15—22no—
344C3×Dic5—42no—
345C5×Dic3—22no—
346C24×C3—52no—
347C23×D3—102no—
348C3×#41—21no—
349C3×#41—21no—
350C3×#41—21no—
351C3×#41—21no—
352C2×C3×Q8C22×D511yescharacteristic, complemented
353C2×C3×D4—21no—
354C2×C3×D4—52no—
355C2×C3×D4—52no—
356C2×C3×D4—104no—
357C2×C3×D4—101no—
358C2×C3×D4—101no—
359C2×C3×D4—101no—
360C2×C3×D4—101no—
361C2×C3×D4C22×D511yescharacteristic, complemented
362C22×C3×C4—21no—
363C22×C3×C4C22×D511yescharacteristic
364C2×#67—21no—
365C2×#67—102no—
366C2×#67—108no—
367C2×#67—108no—
368C2×#67—102no—
369C2×#67—101no—
370C22×Dic3—102no—
371#237—104no—
372#237—104no—
373#237—104no—
374#237—104no—
375D3×D4—104no—
376D3×D4—104no—
377D3×D4—104no—
378D3×D4—104no—
379#235—21no—
380#235—21no—
381#235—52no—
382#235—52no—
383#235—101no—
384#235—101no—
385#235C22⋊D512yescomplemented
386#235C22×D512yes—
387C2×D12—51no—
388C2×D12C22⋊D511yescharacteristic, complemented
389C2×C4×D3—21no—
390C2×C4×D3—101no—
391C2×Dic6—51no—
392C2×Dic6C22⋊D511yescharacteristic, complemented
393C3×C4⋊C4—101no—
394C3×C22⋊C4—104no—
395C3×C22⋊C4—101no—
396C3×C42—52no—
397#216—22no—
398#216—102no—
399#215—22no—
400#215—102no—
401#214—22no—
402#214—102no—
403#213—22no—
404#213—102no—
405#208—21no—
406#208—52no—
407#208—101no—
408#208C22×D512yescomplemented
409C2×C3⋊C8—21no—
410C2×C3⋊C8—101no—
411C23×C5—21no—
412C23×C5—61no—
413C23×C5C2×#6711yescharacteristic
414C22×D5—22no—
415C22×D5—22no—
416C22×D5—68no—
417C22×D5—61no—
418C22×D5—82no—
419C22×D5—244no—
420C22×D5C2×#6714yes—
421C5×Q8—21no—
422C5×Q8—21no—
423C5×Q8—32no—
424C5×Q8—61no—
425C5×D4—21no—
426C5×D4—21no—
427C5×D4—32no—
428C5×D4—41no—
429C5×D4—41no—
430C5×D4—62no—
431C5×D4—62no—
432C5×D4—61no—
433C2×C4×C5—21no—
434C2×C4×C5—41no—
435C2×C4×C5—41no—
436C2×C4×C5—61no—
437C2×C4×C5—62no—
438C2×C4×C5—62no—
439C2×C4×C5D3×D411yescharacteristic
440C2×C4×C5D3×D411yescharacteristic
441C2×C4×C5D3×D411yescharacteristic
442C2×C4×C5D3×D411yescharacteristic
443C2×C4×C5C2×#6711yescharacteristic
444C2×C4×C5C23×D311yescharacteristic
445C22⋊D5—68no—
446C22⋊D5—62no—
447C22⋊D5—62no—
448C22⋊D5—84no—
449C2×Dic5—22no—
450C2×Dic5—61no—
451D20—22no—
452D20—22no—
453D20—22no—
454D20—22no—
455D20—32no—
456D20—68no—
457D20—61no—
458C4×D5—68no—
459C4×D5—62no—
460C4×D5—62no—
461Dic10—32no—
462Dic10—61no—
463C5×C8—62no—
464#168—62no—
465H(5,𝔽2)—154no—
466H(5,𝔽2)—302no—
467H(5,𝔽2)—302no—
468H(5,𝔽2)—302no—
469C2×#41—31no—
470C2×#41—151no—
471C2×#41—301no—
472C2×#41—301no—
473C2×#41D3×D511yescharacteristic, complemented
474C22×D4—51no—
475C22×D4—301no—
476C22×D4—301no—
477C22×D4—302no—
478#137—32no—
479#137—61no—
480#137—152no—
481#137—301no—
482AGL(1,ℤ/8)—32no—
483AGL(1,ℤ/8)—61no—
484AGL(1,ℤ/8)—152no—
485AGL(1,ℤ/8)—301no—
486#135—62no—
487#135—302no—
488C2×M16—31no—
489C2×M16—151no—
490#127—52no—
491#124—52no—
492#121—102no—
493#120—102no—
494#117—51no—
495#104—154no—
496#104—154no—
497#100—154no—
498C2×C3×C5—21no—
499C2×C3×C5—21no—
500C2×C3×C5—21no—
501C2×C3×C5—81no—
502C2×C3×C5C2×#12011yescharacteristic
503D15—42no—
504C3×D5—44no—
505C5×D3—42no—
506C23×C3—21no—
507C23×C3—54no—
508C23×C3—102no—
509C23×C3—102no—
510C23×C3—402no—
511C23×C3D4×D511yescharacteristic
512C22×D3—21no—
513C22×D3—108no—
514C22×D3—101no—
515C22×D3—404no—
516C3×Q8—21no—
517C3×Q8—21no—
518C3×D4—21no—
519C3×D4—21no—
520C3×D4—41no—
521C3×D4—41no—
522C3×D4—102no—
523C3×D4—102no—
524C3×D4—102no—
525C3×D4—102no—
526C3×D4—404no—
527C2×C3×C4—21no—
528C2×C3×C4—41no—
529C2×C3×C4—41no—
530C2×C3×C4—102no—
531C2×C3×C4D4×D511yescharacteristic
532C2×C3×C4D4×D511yescharacteristic
533C2×C3×C4D4×D511yescharacteristic
534C2×C3×C4C2×C22⋊D511yescharacteristic
535C2×C3×C4C2×C22⋊D511yescharacteristic
536C2×C3×C4C23×D511yescharacteristic
537#67—22no—
538#67—22no—
539#67—108no—
540#67—108no—
541#67—102no—
542#67—102no—
543C2×Dic3—21no—
544C2×Dic3—108no—
545C2×Dic3—101no—
546D12—21no—
547D12—52no—
548D12—101no—
549D12C2×C22⋊D512yes—
550C4×D3—22no—
551C4×D3—22no—
552C4×D3—102no—
553C4×D3—102no—
554Dic6—21no—
555Dic6—52no—
556Dic6—101no—
557Dic6C2×C22⋊D512yes—
558C3⋊C8—22no—
559C3⋊C8—102no—
560C22×C5—41no—
561C22×C5—42no—
562C22×C5—41no—
563C22×C5—62no—
564C22×C5—122no—
565C22×C5#93711yescharacteristic
566C22×C5#93711yescharacteristic
567C22×C5C22×#6711yescharacteristic
568C2×D5—24no—
569C2×D5—44no—
570C2×D5—44no—
571C2×D5—62no—
572C2×D5—82no—
573C2×D5—122no—
574C2×D5—248no—
575C4×C5—41no—
576C4×C5—62no—
577C4×C5#93711yescharacteristic
578C4×C5#93711yescharacteristic
579C4×C5C2×D3×D411yescharacteristic
580C4×C5C2×D3×D411yescharacteristic
581Dic5—42no—
582Dic5—62no—
583C24—52no—
584C24—302no—
585#41—21no—
586#41—21no—
587#41—21no—
588#41—21no—
589#41—32no—
590#41—32no—
591#41—61no—
592#41—61no—
593#41—152no—
594#41—152no—
595#41—304no—
596#41—304no—
597#41—304no—
598#41—304no—
599#41—301no—
600#41—301no—
601C2×Q8—31no—
602C2×Q8—151no—
603C2×Q8C2×D3×D511yescharacteristic, complemented
604C2×D4—21no—
605C2×D4—31no—
606C2×D4—52no—
607C2×D4—52no—
608C2×D4—61no—
609C2×D4—104no—
610C2×D4—101no—
611C2×D4—101no—
612C2×D4—101no—
613C2×D4—101no—
614C2×D4—151no—
615C2×D4—304no—
616C2×D4—304no—
617C2×D4—302no—
618C2×D4—304no—
619C2×D4—304no—
620C2×D4—308no—
621C2×D4—308no—
622C2×D4—302no—
623C2×D4—301no—
624C2×D4C2×D3×D511yescharacteristic, complemented
625C22×C4—21no—
626C22×C4—61no—
627C22×C4—302no—
628C22×C4—301no—
629C22×C4C2×D3×D511yescharacteristic
630Q16—62no—
631Q16—302no—
632SD16—62no—
633SD16—62no—
634SD16—302no—
635SD16—302no—
636D8—62no—
637D8—302no—
638M16—32no—
639M16—61no—
640M16—152no—
641M16—301no—
642C2×C8—61no—
643C2×C8—301no—
644C4⋊C4—101no—
645C22⋊C4—104no—
646C22⋊C4—101no—
647C42—52no—
648C3×C5#301911yescharacteristic, complemented, Hall
649C22×C3—41no—
650C22×C3—42no—
651C22×C3—41no—
652C22×C3—104no—
653C22×C3—204no—
654C22×C3—204no—
655C22×C3—402no—
656C22×C3#408311yescharacteristic
657C22×C3#408311yescharacteristic
658C22×C3C2×D4×D511yescharacteristic
659C2×D3—22no—
660C2×D3—42no—
661C2×D3—102no—
662C2×D3—202no—
663C2×D3—408no—
664C3×C4—41no—
665C3×C4—202no—
666C3×C4#408311yescharacteristic
667C3×C4#408311yescharacteristic
668C3×C4C2×D4×D511yescharacteristic
669C3×C4C22×C22⋊D511yescharacteristic
670Dic3—22no—
671Dic3—102no—
672C2×C5—21no—
673C2×C5—21no—
674C2×C5—21no—
675C2×C5—81no—
676C2×C5—122no—
677C2×C5C2×#93711yescharacteristic
678D5—44no—
679D5—122no—
680C23—21no—
681C23—54no—
682C23—61no—
683C23—102no—
684C23—102no—
685C23—308no—
686C23—301no—
687C23—402no—
688C23—1204no—
689C23D5×#6711yescharacteristic
690Q8—21no—
691Q8—21no—
692Q8—32no—
693Q8—61no—
694Q8—152no—
695Q8—301no—
696D4—21no—
697D4—21no—
698D4—32no—
699D4—41no—
700D4—41no—
701D4—62no—
702D4—62no—
703D4—61no—
704D4—102no—
705D4—102no—
706D4—102no—
707D4—102no—
708D4—152no—
709D4—308no—
710D4—308no—
711D4—302no—
712D4—302no—
713D4—301no—
714D4—404no—
715C2×C4—21no—
716C2×C4—41no—
717C2×C4—41no—
718C2×C4—61no—
719C2×C4—62no—
720C2×C4—62no—
721C2×C4—102no—
722C2×C4—308no—
723C2×C4—301no—
724C2×C4—302no—
725C2×C4—302no—
726C2×C4D5×#6711yescharacteristic
727C2×C4D3×C22⋊D511yescharacteristic
728C2×C4D3×C22⋊D511yescharacteristic
729C2×C4#679011yescharacteristic
730C2×C4#679011yescharacteristic
731C2×C4C22×D3×D511yescharacteristic
732C8—62no—
733C8—302no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—81no—
738C2×C3—204no—
739C2×C3C2×#408311yescharacteristic
740D3—42no—
741D3—202no—
742C5#8339411yescharacteristic, complemented, Sylow
743C22—41no—
744C22—42no—
745C22—41no—
746C22—62no—
747C22—104no—
748C22—122no—
749C22—204no—
750C22—204no—
751C22—302no—
752C22—402no—
753C22—602no—
754C22—1208no—
755C22#9157711yescharacteristic
756C22#9157711yescharacteristic
757C22C2×D5×#6711yescharacteristic
758C4—41no—
759C4—62no—
760C4—202no—
761C4—302no—
762C4#9157711yescharacteristic
763C4#9157711yescharacteristic
764C4C2×D3×C22⋊D511yescharacteristic
765C4C2×#679011yescharacteristic
766C3#1061573611yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—81no—
771C2—122no—
772C2—204no—
773C2—602no—
774C2C2×#9157711yescharacteristic
subgroupG/H
centerC2C2×#91577
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC2×C3×C5C2×#120
hypercenterC2×#41D3×D5
hypocenterC3×C5#3019
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#92017C2semidirect
2. #11756581C2semidirect
3. C5×#5822C2semidirect
4. C3×#66164C2semidirect
5. #11749409C2semidirect
6. #11749163C2semidirect
7. #11748429C2semidirect
8. #11748425C2semidirect
9. C2×#90958C2semidirect
11. C2×C3×C5×#41C22semidirect
27. #91831C22semidirect
28. #91821C22semidirect
29. C2×#6710C22semidirect
33. C5×#942C22semidirect
34. C5×#932C22semidirect
35. C2×C5×#208C22semidirect
36. C3×#4093C22semidirect
37. C3×#4086C22semidirect
40. C3×#4072C22semidirect
41. #90981C22semidirect
42. #90979C22semidirect
43. #90958C22semidirect
47. #66164D3semidirect
60. C2×C3×C5×Q8C23semidirect
62. C2×C3×C5×D4C23semidirect
68. #6817D4semidirect
70. C2×D60D4semidirect
72. C2×Dic30D4semidirect
76. C5×#235D4semidirect
78. C2×C5×D12D4semidirect
80. C2×C5×Dic6D4semidirect
106. #6710C23semidirect
113. C5×#208C23semidirect
118. C3×C4×Dic5C23semidirect
122. #5822D5semidirect
129. C2×C5×#41C2×D3semidirect
150. #4093C2×D3semidirect
152. #4086C2×D3semidirect
156. #4072C2×D3semidirect
216. C2×C3×#41C2×D5semidirect
241. #942C2×D5semidirect
243. #932C2×D5semidirect
245. C2×#208C2×D5semidirect
260. C2×C5×Q8C22×D3semidirect
264. C2×C5×D4C22×D3semidirect
310. C4×Dic5C22×D3semidirect
352. C2×C3×Q8C22×D5semidirect
361. C2×C3×D4C22×D5semidirect
385. #235C22⋊D5semidirect
388. C2×D12C22⋊D5semidirect
392. C2×Dic6C22⋊D5semidirect
408. #208C22×D5semidirect
473. C2×#41D3×D5semidirect
603. C2×Q8C2×D3×D5semidirect
624. C2×D4C2×D3×D5semidirect
648. C3×C5#3019semidirect
742. C5#83394semidirect
766. C3#10615736semidirect

Maximal subgroups

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

subgroupindex
C2×#920172
#117565812
C5×#58222
C3×#661642
#117494092
#117491632
#117484292
#117484252
C2×#909582
#106157363
#833945