Finite Group Databasebeta

← #14412582

Subgroups — #14412582

Order 1920.

1544 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×D15C211yesmaximal, characteristic
2#11754461C211yesmaximal, characteristic, complemented
3C22×#6651C211yesmaximal, characteristic, complemented
4C5×#5233C211yesmaximal, characteristic, complemented
5C3×#65522C211yesmaximal, characteristic, complemented
6#11749218C212yesmaximal, complemented
7#11749205C212yesmaximal, complemented
8#11748972C212yesmaximal, complemented
9#11748959C212yesmaximal, complemented
10#11748411C211yesmaximal, characteristic, complemented
11#11748393C211yesmaximal, characteristic, complemented
12#10610561—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14#41×D15—24no—
15#41×D15C418yescomplemented
16C2×#6821C2211yescharacteristic
17C2×Q8×D15C2211yescharacteristic
18C2×#6819—21no—
19C2×#6819C2211yescharacteristic
20C2×D4×D15—21no—
21C2×D4×D15C2211yescharacteristic
22C2×#6817—21no—
23C2×#6817C2211yescharacteristic
24C22×C4×D15—21no—
25C22×C4×D15C2211yescharacteristic
26C5×#926C2211yescharacteristic, complemented
27C22×C5×C3⋊C8C2211yescharacteristic, complemented
28C3×#4072C2211yescharacteristic, complemented
29C22×C3×#168C2211yescharacteristic, complemented
30#91561—21no—
31#91532—21no—
32#91437C2212yescomplemented
33C4×#1200—21no—
34#91386—21no—
35#91347C2212yes—
36C2×#6651—24no—
37C2×#6651C2212yes—
38C2×#6651C2212yescomplemented
39C5×#835C2212yescomplemented
40C5×#832C2212yescomplemented
41C3×#3967C2212yescomplemented
42C3×#3964C2212yescomplemented
43#90975C2212yescomplemented
44#90974C2212yescomplemented
45#90969C2212yescomplemented
46#90968C2212yescomplemented
47#78830—51nomaximal, Hall
48C2×D5×#41—31no—
49C22×#676—31no—
50D5×#117—31no—
51C5×#416—31no—
52#65522D311yescharacteristic, complemented
53#65402—31no—
54#65291—31no—
55#65092—32no—
56#65091—32no—
57#65060—32no—
58#65059—32no—
59C23×D15—21no—
60C23×D15D411yescharacteristic
61C3×C5×#41—22no—
62C3×C5×#41C2×C414yescomplemented
63C2×C3×C5×Q8C2311yescharacteristic
64C2×C3×C5×D4—21no—
65C2×C3×C5×D4C2311yescharacteristic
66C22×C3×C4×C5—21no—
67C22×C3×C4×C5C2311yescharacteristic
68C2×#1220—21no—
69C2×#1220—21no—
70C2×#1220—21no—
71C22×Dic15—21no—
72C22×Dic15D411yescharacteristic
73#6821—22no—
74#6821C2×C414yes—
75Q8×D15—22no—
76Q8×D15C2×C414yescomplemented
77#6819—28no—
78#6819—22no—
79#6819C2×C414yes—
80D4×D15—28no—
81D4×D15—22no—
82D4×D15C2×C414yescomplemented
83#6817—22no—
84#6817—28no—
85#6817C2×C414yescomplemented
86C2×D60—21no—
87C2×D60C2311yescharacteristic
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×C4×D15—21no—
91C2×C4×D15—28no—
92C2×C4×D15C2×C414yes—
93C2×C4×D15D411yescharacteristic
94C2×C4×D15D411yescharacteristic
95C2×C4×D15D414yes—
96C2×C4×D15C2311yescharacteristic
97C2×C4×D15C2311yescharacteristic
98C2×Dic30—21no—
99C2×Dic30C2311yescharacteristic
100C2×#1200—22no—
101C5×#217—21no—
102C5×C4⋊Dic3C2312yes—
103C4×C5×Dic3—21no—
104C2×C5×C3⋊C8—22no—
105C2×C5×C3⋊C8C2312yes—
106C3×C22⋊Dic5—21no—
107C3×C4⋊Dic5C2312yes—
108C3×C4×Dic5—21no—
109C2×C3×#168—22no—
110C2×C3×#168C2312yes—
111#6669—22no—
112#6667—22no—
113Dic3×Dic5—22no—
114#6651—24no—
115#6651—24no—
116C2×D3×#41—51no—
117C22×ΓL(1,𝔽25)—51no—
118D3×#117—51no—
119C3×#416—51no—
120#5233D511yescharacteristic, complemented
121#5113—51no—
122#5002—51no—
123#4803—52no—
124#4802—52no—
125#4771—52no—
126#4770—52no—
127C2×C5×#41C2×D311yescharacteristic
128D5×#41—38no—
129D5×#41—64no—
130C2×#713—31no—
131C2×Q8×D5—31no—
132C2×#711—31no—
133C2×#711—61no—
134C2×D4×D5—31no—
135C2×D4×D5—61no—
136C2×#709—31no—
137C2×#709—61no—
138C22×C4×D5—31no—
139C22×C4×D5—61no—
140C22×C5×C8—31no—
141C5×#117—31no—
142#4072C2×D311yescharacteristic, complemented
143C22×#168C2×D311yescharacteristic, complemented
144C2×#676—32no—
145C2×#676—32no—
146C2×#676—64no—
147#4038—32no—
148D5×C4⋊C4—32no—
149D5×C22⋊C4—61no—
150#4023—61no—
151#4018—61no—
152C42×D5—61no—
153C5×#103—32no—
154C5×#102—32no—
155#3967C2×D312yescomplemented
156#3964C2×D312yescomplemented
157#3953—32no—
158#3948—32no—
159#3942—32no—
160#3941—32no—
161#2896—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×D15—21no—
165C22×D15—24no—
166C22×D15—42no—
167C22×D15—44no—
168C22×D15C22⋊C414yes—
169C22×D15C2×D411yescharacteristic
170C22×D15C2×D411yescharacteristic
171C3×C5×Q8—21no—
172C3×C5×Q8C22×C412yes—
173C3×C5×D4—24no—
174C3×C5×D4—21no—
175C3×C5×D4C22×C412yes—
176C2×C3×C4×C5—21no—
177C2×C3×C4×C5—24no—
178C2×C3×C4×C5C22×C412yes—
179C2×C3×C4×C5C2×D411yescharacteristic
180C2×C3×C4×C5C2×D412yes—
181C2×C3×C4×C5C2411yescharacteristic
182#1220—24no—
183#1220—24no—
184#1220—24no—
185C2×Dic15—21no—
186C2×Dic15—24no—
187C2×Dic15C22⋊C414yes—
188C2×Dic15C2×D411yescharacteristic
189C2×Dic15C2×D411yescharacteristic
190D60—24no—
191D60—21no—
192D60C22×C412yes—
193C4×D15—24no—
194C4×D15—24no—
195C4×D15—24no—
196C4×D15C22⋊C414yes—
197C4×D15C22⋊C414yes—
198C4×D15C22×C412yes—
199C4×D15C22×C412yes—
200C4×D15C2×D412yes—
201C4×D15C2×D412yes—
202Dic30—21no—
203Dic30—24no—
204Dic30C22×C412yes—
205C2×C5×Dic3—22no—
206C2×C3×Dic5—22no—
207#1200—44no—
208C3×#168—22no—
209C5×C3⋊C8—22no—
210C2×C3×#41C2×D511yescharacteristic
211D3×#41—58no—
212D3×#41—104no—
213C2×#239—51no—
214C2×D3×Q8—51no—
215C2×#237—51no—
216C2×#237—101no—
217C2×D3×D4—51no—
218C2×D3×D4—101no—
219C2×#235—51no—
220C2×#235—101no—
221C22×C4×D3—51no—
222C22×C4×D3—101no—
223C22×C3×C8—51no—
224C3×#117—51no—
225#926C2×D511yescharacteristic, complemented
226C22×C3⋊C8C2×D511yescharacteristic, complemented
227C2×ΓL(1,𝔽25)—52no—
228C2×ΓL(1,𝔽25)—52no—
229C2×ΓL(1,𝔽25)—104no—
230#892—52no—
231D3×C4⋊C4—52no—
232D3×C22⋊C4—101no—
233#877—101no—
234#872—101no—
235C42×D3—101no—
236C3×#103—52no—
237C3×#102—52no—
238#835C2×D512yescomplemented
239#832C2×D512yescomplemented
240#821—52no—
241#816—52no—
242#810—52no—
243#809—52no—
244C23×D5—31no—
245C23×D5—61no—
246C5×#41—22no—
247C5×#41C4×D314yescomplemented
248C2×C5×Q8C22×D311yescharacteristic
249C2×C5×D4—21no—
250C2×C5×D4C22×D311yescharacteristic
251C22×C4×C5—21no—
252C22×C4×C5C22×D311yescharacteristic
253C2×C22⋊D5—61no—
254C2×C22⋊D5—61no—
255C2×C22⋊D5—61no—
256C22×Dic5—31no—
257C22×Dic5—61no—
258#713—34no—
259#713—62no—
260Q8×D5—34no—
261Q8×D5—62no—
262#711—34no—
263#711—62no—
264#711—68no—
265D4×D5—34no—
266D4×D5—62no—
267D4×D5—68no—
268#709—34no—
269#709—68no—
270#709—62no—
271C2×D20—31no—
272C2×D20—61no—
273C2×C4×D5—34no—
274C2×C4×D5—31no—
275C2×C4×D5—31no—
276C2×C4×D5—34no—
277C2×C4×D5—31no—
278C2×C4×D5—31no—
279C2×C4×D5—68no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C2×C4×D5—62no—
284C2×Dic10—31no—
285C2×Dic10—61no—
286C2×C5×C8—32no—
287C2×C5×C8—62no—
288C5×C4⋊C4—32no—
289C5×C22⋊C4—61no—
290C42×C5—61no—
291C22⋊Dic5—21no—
292#685—62no—
293C4⋊Dic5C22×D312yes—
294#683—62no—
295C4×Dic5—21no—
296C4×Dic5—62no—
297C2×#168—22no—
298C2×#168C22×D312yes—
299#676—64no—
300#676—64no—
301C22×#41—151no—
302C22×M16—151no—
303C2×#117—151no—
304#419—152no—
305#418—152no—
306#417—152no—
307#417—152no—
308#416—31no—
309#416—51no—
310#416—151no—
311#416—151no—
312C22×C3×C5—22no—
313C22×C3×C5—22no—
314C22×C3×C5—42no—
315C22×C3×C5C2×C22⋊C412yes—
316C22×C3×C5C22×D411yescharacteristic
317C2×D15—22no—
318C2×D15—22no—
319C2×D15—22no—
320C2×D15—44no—
321C2×D15—48no—
322C2×D15—42no—
323C2×D15C2×C22⋊C412yes—
324C2×D15C2×C22⋊C412yes—
325C3×C4×C5—22no—
326C3×C4×C5C2×C22⋊C412yes—
327C3×C4×C5C23×C411yescharacteristic
328C3×C4×C5C22×D411yescharacteristic
329Dic15—22no—
330Dic15C2×C22⋊C412yes—
331Dic15C2×C22⋊C412yes—
332C3×Dic5—42no—
333C5×Dic3—42no—
334C23×D3—51no—
335C23×D3—101no—
336C3×#41—22no—
337C3×#41C4×D514yescomplemented
338C2×C3×Q8C22×D511yescharacteristic
339C2×C3×D4—21no—
340C2×C3×D4C22×D511yescharacteristic
341C22×C3×C4—21no—
342C22×C3×C4C22×D511yescharacteristic
343C2×#67—101no—
344C2×#67—101no—
345C2×#67—101no—
346C22×Dic3—51no—
347C22×Dic3—101no—
348#239—54no—
349#239—102no—
350D3×Q8—54no—
351D3×Q8—102no—
352#237—54no—
353#237—102no—
354#237—108no—
355D3×D4—54no—
356D3×D4—102no—
357D3×D4—108no—
358#235—54no—
359#235—108no—
360#235—102no—
361C2×D12—51no—
362C2×D12—101no—
363C2×C4×D3—54no—
364C2×C4×D3—51no—
365C2×C4×D3—51no—
366C2×C4×D3—54no—
367C2×C4×D3—51no—
368C2×C4×D3—51no—
369C2×C4×D3—108no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3—101no—
373C2×C4×D3—102no—
374C2×Dic6—51no—
375C2×Dic6—101no—
376C2×C3×C8—52no—
377C2×C3×C8—102no—
378C3×C4⋊C4—52no—
379C3×C22⋊C4—101no—
380C3×C42—101no—
381#217—21no—
382(C2×D3)⋊C4—102no—
383C4⋊Dic3C22×D512yes—
384Dic3⋊C4—102no—
385C4×Dic3—21no—
386C4×Dic3—102no—
387C2×C3⋊C8—22no—
388C2×C3⋊C8C22×D512yes—
389ΓL(1,𝔽25)—104no—
390ΓL(1,𝔽25)—104no—
391C23×C5—21no—
392C23×C5D3×D411yescharacteristic
393C22×D5—31no—
394C22×D5—31no—
395C22×D5—34no—
396C22×D5—64no—
397C22×D5—61no—
398C22×D5—122no—
399C22×D5—124no—
400C5×Q8—21no—
401C5×Q8C2×C4×D312yes—
402C5×D4—24no—
403C5×D4—21no—
404C5×D4C2×C4×D312yes—
405C2×C4×C5—21no—
406C2×C4×C5—24no—
407C2×C4×C5—62no—
408C2×C4×C5C2×C4×D312yes—
409C2×C4×C5D3×D412yes—
410C2×C4×C5D3×D411yescharacteristic
411C2×C4×C5C23×D311yescharacteristic
412C22⋊D5—64no—
413C22⋊D5—64no—
414C22⋊D5—64no—
415C2×Dic5—22no—
416C2×Dic5—34no—
417C2×Dic5—31no—
418C2×Dic5—31no—
419C2×Dic5—64no—
420C2×Dic5—61no—
421D20—32no—
422D20—64no—
423D20—61no—
424C4×D5—34no—
425C4×D5—34no—
426C4×D5—32no—
427C4×D5—32no—
428C4×D5—32no—
429C4×D5—32no—
430C4×D5—64no—
431C4×D5—64no—
432C4×D5—64no—
433C4×D5—124no—
434Dic10—32no—
435Dic10—64no—
436Dic10—61no—
437C5×C8—62no—
438#168—22no—
439C2×#41—158no—
440C2×#41—151no—
441C2×#41—151no—
442C2×#41—151no—
443C2×#41—301no—
444C2×#41—301no—
445C2×#41—304no—
446C2×#41D3×D511yescharacteristic
447C22×Q8—151no—
448C22×D4—151no—
449C22×D4—301no—
450C23×C4—151no—
451C23×C4—301no—
452C2×M16—152no—
453C2×M16—152no—
454C2×M16—304no—
455C22×C8—31no—
456C22×C8—51no—
457#117—31no—
458#117—51no—
459#117—152no—
460#117—301no—
461#117—301no—
462C2×C4⋊C4—152no—
463C2×C22⋊C4—301no—
464C2×C42—301no—
465#103—32no—
466#103—52no—
467#103—152no—
468#103—152no—
469#102—32no—
470#102—52no—
471#102—152no—
472#102—152no—
473C2×C3×C5—22no—
474C2×C3×C5—42no—
475C2×C3×C5C22×C22⋊C411yescharacteristic
476C2×C3×C5#57512yes—
477D15—22no—
478D15—22no—
479D15—42no—
480C23×C3—21no—
481C23×C3D4×D511yescharacteristic
482C22×D3—51no—
483C22×D3—51no—
484C22×D3—54no—
485C22×D3—104no—
486C22×D3—101no—
487C22×D3—202no—
488C22×D3—204no—
489C3×Q8—21no—
490C3×Q8C2×C4×D512yes—
491C3×D4—24no—
492C3×D4—21no—
493C3×D4C2×C4×D512yes—
494C2×C3×C4—21no—
495C2×C3×C4—24no—
496C2×C3×C4—102no—
497C2×C3×C4C2×C4×D512yes—
498C2×C3×C4D4×D512yes—
499C2×C3×C4D4×D511yescharacteristic
500C2×C3×C4C23×D511yescharacteristic
501#67—104no—
502#67—104no—
503#67—104no—
504C2×Dic3—22no—
505C2×Dic3—51no—
506C2×Dic3—51no—
507C2×Dic3—54no—
508C2×Dic3—104no—
509C2×Dic3—101no—
510D12—52no—
511D12—104no—
512D12—101no—
513C4×D3—52no—
514C4×D3—52no—
515C4×D3—52no—
516C4×D3—52no—
517C4×D3—54no—
518C4×D3—54no—
519C4×D3—104no—
520C4×D3—104no—
521C4×D3—104no—
522C4×D3—204no—
523Dic6—52no—
524Dic6—104no—
525Dic6—101no—
526C3×C8—102no—
527C3⋊C8—22no—
528C22×C5—22no—
529C22×C5—22no—
530C22×C5—42no—
531C22×C5D3×C22⋊C412yes—
532C22×C5C2×D3×D411yescharacteristic
533C2×D5—32no—
534C2×D5—32no—
535C2×D5—62no—
536C2×D5—62no—
537C2×D5—62no—
538C2×D5—124no—
539C2×D5—128no—
540C2×D5—122no—
541C4×C5—22no—
542C4×C5—122no—
543C4×C5D3×C22⋊C412yes—
544C4×C5C22×C4×D311yescharacteristic
545C4×C5C2×D3×D411yescharacteristic
546Dic5—32no—
547Dic5—32no—
548Dic5—42no—
549Dic5—62no—
550C24—151no—
551C24—301no—
552#41—22no—
553#41—154no—
554#41—154no—
555#41—154no—
556#41—308no—
557#41—308no—
558#41—302no—
559#41—302no—
560#41—302no—
561#41#120014yescomplemented
562C2×Q8—154no—
563C2×Q8—151no—
564C2×Q8—301no—
565C2×Q8—302no—
566C2×Q8C2×D3×D511yescharacteristic
567C2×D4—21no—
568C2×D4—154no—
569C2×D4—151no—
570C2×D4—301no—
571C2×D4—302no—
572C2×D4—301no—
573C2×D4—308no—
574C2×D4—301no—
575C2×D4—301no—
576C2×D4C2×D3×D511yescharacteristic
577C22×C4—21no—
578C22×C4—151no—
579C22×C4—154no—
580C22×C4—154no—
581C22×C4—151no—
582C22×C4—151no—
583C22×C4—151no—
584C22×C4—151no—
585C22×C4—301no—
586C22×C4—308no—
587C22×C4—301no—
588C22×C4—302no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C2×D3×D511yescharacteristic
592M16—304no—
593M16—304no—
594C2×C8—32no—
595C2×C8—52no—
596C2×C8—62no—
597C2×C8—102no—
598C4⋊C4—32no—
599C4⋊C4—52no—
600C4⋊C4—302no—
601C22⋊C4—61no—
602C22⋊C4—101no—
603C22⋊C4—302no—
604C42—61no—
605C42—101no—
606C42—302no—
607C3×C5#289611yescharacteristic, complemented, Hall
608C22×C3—22no—
609C22×C3—22no—
610C22×C3—42no—
611C22×C3D5×C22⋊C412yes—
612C22×C3C2×D4×D511yescharacteristic
613C2×D3—52no—
614C2×D3—52no—
615C2×D3—102no—
616C2×D3—102no—
617C2×D3—102no—
618C2×D3—204no—
619C2×D3—208no—
620C2×D3—202no—
621C3×C4—22no—
622C3×C4—202no—
623C3×C4D5×C22⋊C412yes—
624C3×C4C22×C4×D511yescharacteristic
625C3×C4C2×D4×D511yescharacteristic
626Dic3—42no—
627Dic3—52no—
628Dic3—52no—
629Dic3—102no—
630C2×C5—22no—
631C2×C5—42no—
632C2×C5C2×D3×C22⋊C411yescharacteristic
633C2×C5#576812yes—
634D5—62no—
635D5—62no—
636D5—122no—
637C23—21no—
638C23—151no—
639C23—151no—
640C23—154no—
641C23—304no—
642C23—301no—
643C23—602no—
644C23—604no—
645C23#679011yescharacteristic
646Q8—21no—
647Q8—152no—
648Q8—304no—
649Q8—301no—
650Q8C2×#120012yes—
651D4—24no—
652D4—21no—
653D4—152no—
654D4—304no—
655D4—304no—
656D4—304no—
657D4—304no—
658D4—301no—
659D4C2×#120012yes—
660C2×C4—21no—
661C2×C4—24no—
662C2×C4—62no—
663C2×C4—102no—
664C2×C4—151no—
665C2×C4—151no—
666C2×C4—154no—
667C2×C4—152no—
668C2×C4—152no—
669C2×C4—152no—
670C2×C4—152no—
671C2×C4—154no—
672C2×C4—154no—
673C2×C4—304no—
674C2×C4—304no—
675C2×C4—304no—
676C2×C4—301no—
677C2×C4—304no—
678C2×C4—604no—
679C2×C4C2×#120012yes—
680C2×C4#679012yes—
681C2×C4#679011yescharacteristic
682C2×C4C22×D3×D511yescharacteristic
683C8—62no—
684C8—102no—
685C2×C3—22no—
686C2×C3—42no—
687C2×C3C2×D5×C22⋊C411yescharacteristic
688C2×C3#6610212yes—
689D3—102no—
690D3—102no—
691D3—202no—
692C5#7883011yescharacteristic, complemented, Sylow
693C22—22no—
694C22—22no—
695C22—42no—
696C22—152no—
697C22—152no—
698C22—302no—
699C22—302no—
700C22—302no—
701C22—604no—
702C22—608no—
703C22—602no—
704C22#9156112yes—
705C22C2×#679011yescharacteristic
706C4—22no—
707C4—122no—
708C4—152no—
709C4—152no—
710C4—202no—
711C4—302no—
712C4#9156112yes—
713C4C22×#120011yescharacteristic
714C4C2×#679011yescharacteristic
715C3#1061056111yescharacteristic, complemented, Sylow
716C2—22no—
717C2—42no—
718C2—302no—
719C2—302no—
720C2—602no—
721C2#1175532912yes—
722C2C2×#9156111yescharacteristic
subgroupG/H
centerC2×C4#6790
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
prime radicalC2×#41×D15C2
cosocleC2×C3×C4×C5C24
hypercenterC2×#41D3×D5
hypocenterC3×C5#2896
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. #11754461C2semidirect
3. C22×#6651C2semidirect
4. C5×#5233C2semidirect
5. C3×#65522C2semidirect
6. #11749218C2semidirect
7. #11749205C2semidirect
8. #11748972C2semidirect
9. #11748959C2semidirect
10. #11748411C2semidirect
11. #11748393C2semidirect
15. #41×D15C4semidirect
26. C5×#926C22semidirect
27. C22×C5×C3⋊C8C22semidirect
28. C3×#4072C22semidirect
29. C22×C3×#168C22semidirect
32. #91437C22semidirect
38. C2×#6651C22semidirect
39. C5×#835C22semidirect
40. C5×#832C22semidirect
41. C3×#3967C22semidirect
42. C3×#3964C22semidirect
43. #90975C22semidirect
44. #90974C22semidirect
45. #90969C22semidirect
46. #90968C22semidirect
52. #65522D3semidirect
62. C3×C5×#41C2×C4semidirect
76. Q8×D15C2×C4semidirect
82. D4×D15C2×C4semidirect
85. #6817C2×C4semidirect
120. #5233D5semidirect
142. #4072C2×D3semidirect
143. C22×#168C2×D3semidirect
155. #3967C2×D3semidirect
156. #3964C2×D3semidirect
225. #926C2×D5semidirect
226. C22×C3⋊C8C2×D5semidirect
238. #835C2×D5semidirect
239. #832C2×D5semidirect
247. C5×#41C4×D3semidirect
337. C3×#41C4×D5semidirect
561. #41#1200semidirect
607. C3×C5#2896semidirect
692. C5#78830semidirect
715. C3#10610561semidirect

Maximal subgroups

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

subgroupindex
C2×#41×D152
#117544612
C22×#66512
C5×#52332
C3×#655222
#117492182
#117492052
#117489722
#117489592
#117484112
#117483932
#106105613
#788305