Finite Group Databasebeta

← #14424717

Subgroups — #14424717

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×#92019C211yesmaximal, characteristic, complemented
2C2×#91838C211yesmaximal, characteristic, complemented
3C2×C5×#950C211yesmaximal, characteristic, complemented
4C3×#66167C211yesmaximal, characteristic, complemented
5#11749406C212yesmaximal, complemented
6#11749397C212yesmaximal, complemented
7#11749160C212yesmaximal, complemented
8#11749151C212yesmaximal, complemented
9C2×#90968C211yesmaximal, characteristic, complemented
10#11748384C211yesmaximal, characteristic, complemented
11#11748342C211yesmaximal, characteristic, complemented
12#10615643—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic, complemented
14C22×D60C2211yescharacteristic
15C2×C5×#235C2211yescharacteristic
16C2×C3×#709C2211yescharacteristic
17C2×#6790—22no—
18#92019—24no—
19#92019—24no—
20C2×D3×D20—21no—
21C2×D5×D12C2212yes—
22C2×#6773C2212yes—
23C2×#6769—21no—
24#91838—24no—
25C2×#6717C2212yescomplemented
26C2×#6715C2212yescomplemented
27C2×#6710C2211yescharacteristic, complemented
28C5×#950—24no—
29C2×C5×#216C2211yescharacteristic, complemented
30C2×C5×#215C2211yescharacteristic, complemented
31C2×C5×#214C2211yescharacteristic, complemented
32C2×C5×#213C2211yescharacteristic, complemented
33C22×C5×C3⋊C8C2211yescharacteristic, complemented
34C3×#4092C2212yescomplemented
35C3×#4085—22no—
36C3×#4084C2212yescomplemented
37C3×#4076—21no—
38C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
39C3×#4070—21no—
40#90972C2212yescomplemented
41#90968C2212yescomplemented
42#90968C2212yescomplemented
43#90966C2212yescomplemented
44#90955C2212yescomplemented
45#90955C2212yescomplemented
46#83424—51nomaximal, Hall
47C2×#4149—31no—
48C2×C5×#135—31no—
49#66167D311yescharacteristic, complemented
50C2×#4095—31no—
51#65521—31no—
52#65476—32no—
53#65461—32no—
54#65458—32no—
55#65445—32no—
56C2×#3953—31no—
57#65399—31no—
58C23×D15—21no—
59C22×D3×D5—22no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×D4—21no—
64C2×C3×C5×D4C2311yescharacteristic
65C22×C3×C4×C5—21no—
66C22×C3×C4×C5C2311yescharacteristic
67C2×D60—21no—
68C2×D60—22no—
69C2×D60D414yescomplemented
70C2×D60C2312yes—
71C2×C5×#67—21no—
72C5×#235—22no—
73C5×#235D414yescomplemented
74C2×C5×D12C2311yescharacteristic
75C2×C4×C5×D3—21no—
76C2×C5×Dic6C2311yescharacteristic
77C2×C3×C22⋊D5—22no—
78C2×C3×C22⋊D5D412yes—
79C22×C3×Dic5—21no—
80C3×#709—22no—
81C3×#709—22no—
82C2×C3×D20D411yescharacteristic
83C2×C3×C4×D5C2312yes—
84C2×C3×Dic10D411yescharacteristic
85#6790—216no—
86C2×#1203—22no—
87C2×#1202—22no—
88C2×#1200—22no—
89D3×D20—28no—
90D5×D12—24no—
91D5×D12—24no—
92#6773—24no—
93#6773—24no—
94#6769—28no—
95#6717—24no—
96#6715—24no—
97#6710—22no—
98C2×C3⋊#168C2312yes—
99C5×#216—22no—
100C5×#215—22no—
101C5×#214—22no—
102C5×#213—22no—
103C2×C5×C3⋊C8—22no—
104C2×C5×C3⋊C8C2311yescharacteristic
105C2×C5×C3⋊C8C2311yescharacteristic
106C3×C22⋊Dic5—22no—
107C3×#685—22no—
108C3×C4⋊Dic5—21no—
109C3×C4⋊Dic5C2312yes—
110C3×#683—22no—
111C2×#1009—51no—
112C3×#537—51no—
113C2×#950D511yescharacteristic, complemented
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×#41—31no—
123C2×C5×#41C2×D311yescharacteristic, complemented
124#4149—64no—
125#4149—64no—
126C2×#713—32no—
127C2×D4×D5—32no—
128C2×D4×D5—62no—
129C2×#709—61no—
130C2×#709C2×D311yescharacteristic
131C22×D20—31no—
132C22×D20—61no—
133C5×#135—64no—
134C2×C5×Q16—31no—
135C2×C5×SD16—31no—
136C2×C5×SD16—31no—
137C2×C5×D8—31no—
138C22×C5×C8—31no—
139#4095—64no—
140#4092C2×D312yescomplemented
141C2×#688—32no—
142#4085—22no—
143#4084C2×D312yescomplemented
144C2×#686—32no—
145#4076—21no—
146C2×C4⋊Dic5C2×D311yescharacteristic, complemented
147#4070—21no—
148C2×#681—31no—
149#3967—32no—
150#3964—32no—
151#3953—32no—
152#3953—32no—
153#3952—32no—
154#3952—32no—
155#3012—151noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D411yescharacteristic
158C22×D15—22no—
159C22×D15—24no—
160C22×D15—81no—
161C22×D15—81no—
162C22×C5×D3—21no—
163C22×C3×D5C2×D412yes—
164C2×D3×D5—28no—
165C2×D3×D5—82no—
166C2×D3×D5—82no—
167C3×C5×Q8—21no—
168C3×C5×Q8—21no—
169C3×C5×D4—21no—
170C3×C5×D4—21no—
171C3×C5×D4—42no—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—42no—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2×D412yes—
177C2×C3×C4×C5C2411yescharacteristic
178D60—24no—
179D60—22no—
180D60C2×D414yes—
181C5×#67—24no—
182C2×C5×Dic3—21no—
183C5×D12—21no—
184C5×D12C2×D412yes—
185C4×C5×D3—24no—
186C5×Dic6—21no—
187C5×Dic6C2×D412yes—
188C3×C22⋊D5—24no—
189C3×C22⋊D5—82no—
190C2×C3×Dic5—22no—
191C2×C3×Dic5—81no—
192C2×C3×Dic5C2×D412yes—
193C3×D20—22no—
194C3×C4×D5—22no—
195C3×C4×D5—22no—
196C3×Dic10—22no—
197#1203—28no—
198#1202—28no—
199#1200—28no—
200C3⋊#168—22no—
201C5×C3⋊C8—21no—
202C5×C3⋊C8—21no—
203C2×C3×#41—51no—
204C2×C3×#41C2×D511yescharacteristic, complemented
205#1009—104no—
206#1009—104no—
207C2×#239—101no—
208C2×D3×D4—101no—
209C2×D3×D4—102no—
210C2×#235—52no—
211C2×#235C2×D511yescharacteristic
212C22×D12—51no—
213C22×D12—52no—
214C3×C22⋊Q8—52no—
215C3×C22⋊Q8—101no—
216C3×#121—52no—
217C3×#121—101no—
218C3×#121—102no—
219C2×C3×C4⋊C4—51no—
220#950—24no—
221#949—104no—
222C2×#216C2×D511yescharacteristic, complemented
223C2×#215—52no—
224C2×#215C2×D511yescharacteristic, complemented
225C2×#214C2×D511yescharacteristic, complemented
226C2×#213—52no—
227C2×#213C2×D511yescharacteristic, complemented
228C2×#208—51no—
229C22×C3⋊C8C2×D511yescharacteristic, complemented
230#830—52no—
231#830—52no—
232#810—52no—
233#809—52no—
234#809—52no—
235#809—52no—
236C23×D5—61no—
237C23×D5—62no—
238C5×#41—22no—
239C5×#41—22no—
240C5×#41—34no—
241C5×#41—62no—
242C2×C5×Q8—31no—
243C2×C5×Q8C22×D311yescharacteristic
244C2×C5×D4—21no—
245C2×C5×D4—31no—
246C2×C5×D4—61no—
247C2×C5×D4C22×D311yescharacteristic
248C22×C4×C5—21no—
249C22×C4×C5—61no—
250C22×C4×C5C22×D311yescharacteristic
251C2×C22⋊D5—22no—
252C2×C22⋊D5—62no—
253C2×C22⋊D5#6712yes—
254C22×Dic5—21no—
255#713—64no—
256#713—64no—
257D4×D5—64no—
258D4×D5—64no—
259D4×D5—616no—
260#709—22no—
261#709—22no—
262#709—68no—
263C2×D20—34no—
264C2×D20—32no—
265C2×D20—68no—
266C2×D20—62no—
267C2×D20—62no—
268C2×D20—61no—
269C2×D20#6711yescharacteristic
270C2×C4×D5—62no—
271C2×C4×D5C22×D312yes—
272C2×Dic10#6711yescharacteristic
273C5×Q16—62no—
274C5×SD16—62no—
275C5×SD16—62no—
276C5×D8—62no—
277C2×C5×C8—31no—
278C2×C5×C8—31no—
279C2×C5×C8—62no—
280C22⋊Dic5—22no—
281#688—64no—
282#686—64no—
283#685—22no—
284C4⋊Dic5—21no—
285C4⋊Dic5C22×D312yes—
286#683—22no—
287#681—62no—
288C2×#168—32no—
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—31no—
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—41no—
303C22×C3×C5—41no—
304C22×C3×C5—41no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×D15—24no—
308C2×D15—42no—
309C2×D15—42no—
310C2×D15—84no—
311C2×C5×D3—22no—
312C2×C5×D3—41no—
313C2×C5×D3—41no—
314C2×C3×D5—22no—
315C2×C3×D5—22no—
316C2×C3×D5—22no—
317D3×D5—88no—
318C3×C4×C5—41no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322C3×Dic5—22no—
323C3×Dic5—42no—
324C5×Dic3—22no—
325C23×D3—102no—
326C23×D3—101no—
327C3×#41—22no—
328C3×#41—22no—
329C3×#41—102no—
330C3×#41—102no—
331C2×C3×Q8—51no—
332C2×C3×Q8C22×D511yescharacteristic
333C2×C3×D4—21no—
334C2×C3×D4—52no—
335C2×C3×D4—51no—
336C2×C3×D4—102no—
337C2×C3×D4C22×D511yescharacteristic
338C22×C3×C4—21no—
339C22×C3×C4—52no—
340C22×C3×C4—101no—
341C22×C3×C4C22×D511yescharacteristic
342C2×#67—21no—
343C2×#67—102no—
344#239—108no—
345D3×D4—108no—
346D3×D4—1016no—
347#235—22no—
348#235—104no—
349#235—104no—
350#235C22⋊D514yescomplemented
351C2×D12—54no—
352C2×D12—52no—
353C2×D12—104no—
354C2×D12—102no—
355C2×D12—101no—
356C2×D12—102no—
357C2×D12—104no—
358C2×D12C22×D511yescharacteristic
359C2×C4×D3—21no—
360C2×C4×D3—102no—
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—22no—
368#215—22no—
369#215—104no—
370#214—22no—
371#213—22no—
372#213—104no—
373#208—102no—
374C2×C3⋊C8—22no—
375C2×C3⋊C8—52no—
376C2×C3⋊C8C22×D511yescharacteristic
377C2×C3⋊C8C22×D511yescharacteristic
378C23×C5—21no—
379C23×C5—61no—
380C23×C5C2×#6711yescharacteristic
381C22×D5—68no—
382C22×D5—62no—
383C22×D5—64no—
384C22×D5—242no—
385C22×D5—242no—
386C22×D5—241no—
387C22×D5—241no—
388C22×D5C2×#6712yes—
389C5×Q8—21no—
390C5×Q8—21no—
391C5×Q8—32no—
392C5×Q8—61no—
393C5×D4—21no—
394C5×D4—21no—
395C5×D4—32no—
396C5×D4—42no—
397C5×D4—64no—
398C5×D4—61no—
399C2×C4×C5—21no—
400C2×C4×C5—42no—
401C2×C4×C5—61no—
402C2×C4×C5—64no—
403C2×C4×C5D3×D412yes—
404C2×C4×C5D3×D412yes—
405C2×C4×C5C2×#6711yescharacteristic
406C2×C4×C5C23×D311yescharacteristic
407C22⋊D5—24no—
408C22⋊D5—68no—
409C22⋊D5—82no—
410C2×Dic5—22no—
411C2×Dic5—81no—
412C2×Dic5C2×#6712yes—
413D20—22no—
414D20—34no—
415D20—68no—
416D20—64no—
417D20—62no—
418C4×D5—22no—
419C4×D5—22no—
420C4×D5—68no—
421Dic10—22no—
422C5×C8—61no—
423C5×C8—61no—
424#168—62no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—31no—
428C2×#41—51no—
429C2×#41—152no—
430C2×#41—301no—
431C2×#41D3×D511yescharacteristic, complemented
432C22×D4—152no—
433C22×D4—151no—
434C22×D4—301no—
435C22×D4—302no—
436AGL(1,ℤ/8)—304no—
437#135—64no—
438C2×Q16—31no—
439C2×SD16—31no—
440C2×SD16—31no—
441C2×SD16—152no—
442C2×D8—31no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8—31no—
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—81no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463D15—44no—
464C3×D5—42no—
465C5×D3—42no—
466C23×C3—21no—
467C23×C3—52no—
468C23×C3D4×D511yescharacteristic
469C22×D3—21no—
470C22×D3—108no—
471C22×D3—102no—
472C22×D3—104no—
473C22×D3—402no—
474C22×D3—402no—
475C22×D3—401no—
476C22×D3—401no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—102no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—42no—
483C3×D4—104no—
484C3×D4—102no—
485C3×D4—402no—
486C2×C3×C4—21no—
487C2×C3×C4—42no—
488C2×C3×C4—52no—
489C2×C3×C4—102no—
490C2×C3×C4—102no—
491C2×C3×C4—102no—
492C2×C3×C4—401no—
493C2×C3×C4D4×D511yescharacteristic
494C2×C3×C4D4×D512yes—
495C2×C3×C4C2×C22⋊D512yes—
496C2×C3×C4C23×D511yescharacteristic
497#67—24no—
498#67—108no—
499C2×Dic3—21no—
500D12—21no—
501D12—54no—
502D12—108no—
503D12—102no—
504D12—104no—
505D12C2×C22⋊D512yes—
506C4×D3—24no—
507C4×D3—108no—
508Dic6—21no—
509Dic6C2×C22⋊D512yes—
510C3⋊C8—21no—
511C3⋊C8—21no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—41no—
516C22×C5—41no—
517C22×C5—41no—
518C22×C5—62no—
519C22×C5—121no—
520C22×C5—121no—
521C22×C5#93712yes—
522C22×C5C22×#6711yescharacteristic
523C2×D5—22no—
524C2×D5—22no—
525C2×D5—22no—
526C2×D5—64no—
527C2×D5—122no—
528C2×D5—122no—
529C2×D5—248no—
530C2×D5—244no—
531C4×C5—41no—
532C4×C5—62no—
533C4×C5#93712yes—
534C4×C5C2×D3×D411yescharacteristic
535C4×C5C2×D3×D411yescharacteristic
536Dic5—22no—
537Dic5—42no—
538C24—302no—
539C24—301no—
540#41—22no—
541#41—22no—
542#41—34no—
543#41—62no—
544#41—102no—
545#41—102no—
546#41—308no—
547#41—304no—
548#41—304no—
549C2×Q8—31no—
550C2×Q8—51no—
551C2×Q8C2×D3×D511yescharacteristic
552C2×D4—21no—
553C2×D4—31no—
554C2×D4—52no—
555C2×D4—51no—
556C2×D4—61no—
557C2×D4—102no—
558C2×D4—154no—
559C2×D4—152no—
560C2×D4—302no—
561C2×D4—308no—
562C2×D4—302no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—3016no—
566C2×D4—301no—
567C2×D4—302no—
568C2×D4C2×D3×D511yescharacteristic
569C22×C4—21no—
570C22×C4—52no—
571C22×C4—61no—
572C22×C4—101no—
573C22×C4—302no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—62no—
576SD16—62no—
577SD16—62no—
578SD16—304no—
579D8—62no—
580D8—304no—
581M16—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—62no—
585C2×C8—152no—
586C4⋊C4—52no—
587C4⋊C4—102no—
588C4⋊C4—101no—
589C22⋊C4—102no—
590C22⋊C4—102no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—102no—
598C22×C3—102no—
599C22×C3—102no—
600C22×C3#408312yes—
601C22×C3C2×D4×D511yescharacteristic
602C2×D3—22no—
603C2×D3—41no—
604C2×D3—41no—
605C2×D3—104no—
606C2×D3—202no—
607C2×D3—202no—
608C2×D3—408no—
609C2×D3—404no—
610C3×C4—41no—
611C3×C4—102no—
612C3×C4—202no—
613C3×C4#408312yes—
614C3×C4C2×D4×D511yescharacteristic
615C3×C4C22×C22⋊D511yescharacteristic
616Dic3—22no—
617C2×C5—22no—
618C2×C5—81no—
619C2×C5—122no—
620C2×C5C2×#93711yescharacteristic
621C2×C5#583511yescharacteristic
622C2×C5#583711yescharacteristic
623D5—42no—
624D5—124no—
625C23—21no—
626C23—52no—
627C23—61no—
628C23—308no—
629C23—302no—
630C23—304no—
631C23—1201no—
632C23—1201no—
633C23—1202no—
634C23—1202no—
635C23D5×#6711yescharacteristic
636Q8—21no—
637Q8—21no—
638Q8—32no—
639Q8—61no—
640Q8—102no—
641D4—21no—
642D4—21no—
643D4—32no—
644D4—42no—
645D4—64no—
646D4—61no—
647D4—104no—
648D4—102no—
649D4—154no—
650D4—308no—
651D4—308no—
652D4—302no—
653D4—304no—
654D4—402no—
655C2×C4—21no—
656C2×C4—42no—
657C2×C4—52no—
658C2×C4—61no—
659C2×C4—64no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—308no—
664C2×C4—401no—
665C2×C4D5×#6711yescharacteristic
666C2×C4D3×C22⋊D512yes—
667C2×C4#679012yes—
668C2×C4C22×D3×D511yescharacteristic
669C8—61no—
670C8—61no—
671C8—302no—
672C2×C3—22no—
673C2×C3—81no—
674C2×C3—202no—
675C2×C3#6610311yescharacteristic
676C2×C3#6610411yescharacteristic
677C2×C3C2×#408311yescharacteristic
678D3—42no—
679D3—204no—
680C5#8342411yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—62no—
687C22—102no—
688C22—102no—
689C22—102no—
690C22—121no—
691C22—121no—
692C22—304no—
693C22—602no—
694C22—602no—
695C22—1204no—
696C22—1208no—
697C22#9157712yes—
698C22C2×D5×#6711yescharacteristic
699C4—41no—
700C4—62no—
701C4—102no—
702C4—202no—
703C4#9157712yes—
704C4C2×D3×C22⋊D511yescharacteristic
705C4C2×#679011yescharacteristic
706C3#1061564311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—81no—
709C2—122no—
710C2—202no—
711C2—604no—
712C2#1175531811yescharacteristic
713C2#1175531911yescharacteristic
714C2C2×#9157711yescharacteristic
subgroupG/H
centerC22C2×D5×#67
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×#92019C2semidirect
2. C2×#91838C2semidirect
3. C2×C5×#950C2semidirect
4. C3×#66167C2semidirect
5. #11749406C2semidirect
6. #11749397C2semidirect
7. #11749160C2semidirect
8. #11749151C2semidirect
9. C2×#90968C2semidirect
10. #11748384C2semidirect
11. #11748342C2semidirect
13. C2×C3×C5×#41C22semidirect
25. C2×#6717C22semidirect
26. C2×#6715C22semidirect
27. C2×#6710C22semidirect
29. C2×C5×#216C22semidirect
30. C2×C5×#215C22semidirect
31. C2×C5×#214C22semidirect
32. C2×C5×#213C22semidirect
33. C22×C5×C3⋊C8C22semidirect
34. C3×#4092C22semidirect
36. C3×#4084C22semidirect
38. C2×C3×C4⋊Dic5C22semidirect
40. #90972C22semidirect
41. #90968C22semidirect
42. #90968C22semidirect
43. #90966C22semidirect
44. #90955C22semidirect
45. #90955C22semidirect
49. #66167D3semidirect
69. C2×D60D4semidirect
73. C5×#235D4semidirect
113. C2×#950D5semidirect
123. C2×C5×#41C2×D3semidirect
140. #4092C2×D3semidirect
143. #4084C2×D3semidirect
146. C2×C4⋊Dic5C2×D3semidirect
204. C2×C3×#41C2×D5semidirect
222. C2×#216C2×D5semidirect
224. C2×#215C2×D5semidirect
225. C2×#214C2×D5semidirect
227. C2×#213C2×D5semidirect
229. C22×C3⋊C8C2×D5semidirect
350. #235C22⋊D5semidirect
431. C2×#41D3×D5semidirect
591. C3×C5#3012semidirect
680. C5#83424semidirect
706. C3#10615643semidirect

Maximal subgroups

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

subgroupindex
C2×#920192
C2×#918382
C2×C5×#9502
C3×#661672
#117494062
#117493972
#117491602
#117491512
C2×#909682
#117483842
#117483422
#106156433
#834245