Finite Group Databasebeta

← #14413413

Subgroups — #14413413

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91246C211yesmaximal, characteristic
2D3×#4038C211yesmaximal, characteristic
3D5×#892C211yesmaximal, characteristic
4#11750961C211yesmaximal, characteristic, complemented
5C5×#4861C211yesmaximal, characteristic, complemented
6C3×#65150C211yesmaximal, characteristic, complemented
7#11747690C211yesmaximal, characteristic, complemented
8#11747630C211yesmaximal, characteristic, complemented
9#11747619C211yesmaximal, characteristic, complemented
10#11747455C211yesmaximal, characteristic, complemented
11#11747453C211yesmaximal, characteristic, complemented
12#11747440C211yesmaximal, characteristic, complemented
13#11747439C211yesmaximal, characteristic, complemented
14#11747190C211yesmaximal, characteristic, complemented
15#11747188C211yesmaximal, characteristic, complemented
16#10610939—31nomaximal, Hall
17C2×C4×D3×D5C2211yescharacteristic
18C2×C8×D15C2211yescharacteristic
19#91781C2211yescharacteristic
20#91781C2211yescharacteristic
21C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
22C5×#892C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C2×C3×#676C2211yescharacteristic
25C3×#4038C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27D3×#685—21no—
28D5×(C2×D3)⋊C4—21no—
29D3×C4⋊Dic5C2211yescharacteristic
30D5×C4⋊Dic3C2211yescharacteristic
31#91403—21no—
32#91402—21no—
33#91400—21no—
34C4×D3×Dic5—21no—
35#91394—21no—
36C4×D5×Dic3—21no—
37#91358C2211yescharacteristic
38#91347C2211yescharacteristic
39#91347C2211yescharacteristic
40#91338C2211yescharacteristic
41C2×#6650C2211yescharacteristic
42C2×#6649C2211yescharacteristic
43C2×#6648C2211yescharacteristic
44#91246C418yescomplemented
45C3×C5×#106C2211yescharacteristic, complemented
46#91101C2211yescharacteristic, complemented
47#91091C2211yescharacteristic, complemented
48#91091C2211yescharacteristic, complemented
49C5×#818C2211yescharacteristic, complemented
50C5×#808C2211yescharacteristic, complemented
51C5×#807C2211yescharacteristic, complemented
52C3×#3950C2211yescharacteristic, complemented
53C3×#3940C2211yescharacteristic, complemented
54C3×#3939C2211yescharacteristic, complemented
55#90990C2211yescharacteristic, complemented
56#90988C2211yescharacteristic, complemented
57#90987C2211yescharacteristic, complemented
58#90986C2211yescharacteristic, complemented
59#90986C2211yescharacteristic, complemented
60#90985C2211yescharacteristic, complemented
61#79208—51nomaximal, Hall
62C2×D5×M16—31no—
63D5×#117—31no—
64C2×#4038—31no—
65C5×#428—31no—
66#65410—31no—
67#65284—31no—
68#65253—31no—
69#65170—31no—
70#65170—31no—
71#65169—31no—
72#65169—31no—
73#65150—31no—
74#65150D311yescharacteristic, complemented
75#65149—31no—
76#65149—31no—
77C22×D3×D5D411yescharacteristic
78C2×C4×D15C2311yescharacteristic
79C2×C4×C5×D3—21no—
80C2×C4×C5×D3C2311yescharacteristic
81C2×C3×C4×D5—21no—
82C2×C3×C4×D5C2311yescharacteristic
83C2×#1200D411yescharacteristic
84C2×D3×Dic5—21no—
85C2×D3×Dic5D411yescharacteristic
86C2×D5×Dic3—21no—
87C2×D5×Dic3D411yescharacteristic
88C4×D3×D5C2×C414yes—
89C4×D3×D5Q814yes—
90C2×C3×C5×C8C2311yescharacteristic
91C3×C5×C4⋊C4C2311yescharacteristic
92C3×C5×C4⋊C4C2311yescharacteristic
93#6714—21no—
94#6714—21no—
95C4⋊Dic15C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97C4×Dic15—21no—
98C4×Dic15—21no—
99C2×C3⋊#168C2311yescharacteristic
100C8×D15C2×C414yescomplemented
101C5×(C2×D3)⋊C4—21no—
102C5×C4⋊Dic3C2311yescharacteristic
103C5×C4⋊Dic3C2311yescharacteristic
104C5×Dic3⋊C4—21no—
105C4×C5×Dic3—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C5×ΓL(1,𝔽25)C2×C414yescomplemented
108C3×#685—21no—
109C3×C4⋊Dic5C2311yescharacteristic
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×C4×Dic5—21no—
113C2×C3×#168C2311yescharacteristic
114C3×#676C2×C414yescomplemented
115Dic3⋊Dic5—21no—
116#6668—21no—
117#6667—21no—
118#6667—21no—
119(C2×D3)⋊Dic5—21no—
120#6665—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125#6650C2×C414yescomplemented
126#6649C2×C414yescomplemented
127#6648C2×C414yescomplemented
128C2×D3×M16—51no—
129D3×#117—51no—
130C2×#892—51no—
131C3×#428—51no—
132#5121—51no—
133#4995—51no—
134#4964—51no—
135#4881—51no—
136#4881—51no—
137#4880—51no—
138#4880—51no—
139#4861—51no—
140#4861D511yescharacteristic, complemented
141#4860—51no—
142#4860—51no—
143C22×C4×D5—31no—
144C2×C5×M16—31no—
145C5×#117—31no—
146C2×C5×C4⋊C4—31no—
147C2×#685—61no—
148#4072—31no—
149C2×C4⋊Dic5—31no—
150C2×C4×Dic5—61no—
151C2×#681—31no—
152D5×M16—38no—
153C2×#676—31no—
154C2×#676C2×D311yescharacteristic
155C2×C8×D5—31no—
156C2×C8×D5—31no—
157#4038—31no—
158#4038—31no—
159#4038—31no—
160#4038—31no—
161#4038—31no—
162#4038—61no—
163#4038—61no—
164#4038C2×D311yescharacteristic
165D5×C4⋊C4—31no—
166D5×C4⋊C4C2×D311yescharacteristic
167D5×C22⋊C4—61no—
168#4023—61no—
169#4018—61no—
170C42×D5—61no—
171C5×#107—31no—
172C5×#107—31no—
173C5×#106—31no—
174C5×#106C2×D311yescharacteristic, complemented
175#3950—31no—
176#3950C2×D311yescharacteristic, complemented
177#3949—31no—
178#3949—31no—
179#3940—31no—
180#3940—31no—
181#3940—31no—
182#3940C2×D311yescharacteristic, complemented
183#3939—31no—
184#3939—31no—
185#3939—31no—
186#3939C2×D311yescharacteristic, complemented
187#2911—151noSylow
188C22×D15C2×D411yescharacteristic
189C22×C5×D3C2×D411yescharacteristic
190C22×C3×D5C2×D411yescharacteristic
191C2×D3×D5—41no—
192C2×D3×D5—41no—
193C2×D3×D5C4⋊C414yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2411yescharacteristic
197C2×Dic15—21no—
198C2×Dic15—21no—
199C2×Dic15C2×D411yescharacteristic
200C4×D15C22×C412yes—
201C4×D15C2×Q812yes—
202C2×C5×Dic3—21no—
203C2×C5×Dic3—21no—
204C2×C5×Dic3C2×D411yescharacteristic
205C4×C5×D3—42no—
206C4×C5×D3C22×C412yes—
207C4×C5×D3C2×Q812yes—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5C2×D411yescharacteristic
211C3×C4×D5—42no—
212C3×C4×D5C22×C412yes—
213C3×C4×D5C2×Q812yes—
214#1200C4⋊C414yes—
215D3×Dic5—42no—
216D3×Dic5C4⋊C414yes—
217D5×Dic3—42no—
218D5×Dic3C4⋊C414yes—
219C3×C5×C8C22×C412yes—
220C3⋊#168C22×C412yes—
221C3×#168C22×C412yes—
222C5×C3⋊C8C22×C412yes—
223C22×C4×D3—51no—
224C2×C3×M16—51no—
225C3×#117—51no—
226C2×C3×C4⋊C4—51no—
227C2×(C2×D3)⋊C4—101no—
228#926—51no—
229C2×C4⋊Dic3—51no—
230C2×C4×Dic3—101no—
231C2×#208—51no—
232D3×M16—58no—
233C2×ΓL(1,𝔽25)—51no—
234C2×ΓL(1,𝔽25)C2×D511yescharacteristic
235C2×D3×C8—51no—
236C2×D3×C8—51no—
237#892—51no—
238#892—51no—
239#892—51no—
240#892—51no—
241#892—51no—
242#892—101no—
243#892—101no—
244#892C2×D511yescharacteristic
245D3×C4⋊C4—51no—
246D3×C4⋊C4C2×D511yescharacteristic
247D3×C22⋊C4—101no—
248#877—101no—
249#872—101no—
250C42×D3—101no—
251C3×#107—51no—
252C3×#107—51no—
253C3×#106—51no—
254C3×#106C2×D511yescharacteristic, complemented
255#818—51no—
256#818C2×D511yescharacteristic, complemented
257#817—51no—
258#817—51no—
259#808—51no—
260#808—51no—
261#808—51no—
262#808C2×D511yescharacteristic, complemented
263#807—51no—
264#807—51no—
265#807—51no—
266#807C2×D511yescharacteristic, complemented
267C23×D5—31no—
268C22×C4×C5—31no—
269C22×C4×C5—61no—
270C22×Dic5—31no—
271C22×Dic5—61no—
272C2×C4×D5—21no—
273C2×C4×D5—31no—
274C2×C4×D5—31no—
275C2×C4×D5—31no—
276C2×C4×D5—34no—
277C2×C4×D5—34no—
278C2×C4×D5—61no—
279C2×C4×D5C22×D311yescharacteristic
280C5×M16—34no—
281C2×C5×C8—31no—
282C2×C5×C8C22×D311yescharacteristic
283C5×C4⋊C4—31no—
284C5×C4⋊C4—31no—
285C5×C4⋊C4—61no—
286C5×C4⋊C4C22×D311yescharacteristic
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C22⋊C4—61no—
289C42×C5—61no—
290C22⋊Dic5—61no—
291#685—21no—
292#685—61no—
293#685—61no—
294#685—61no—
295#685—61no—
296#685—61no—
297C4⋊Dic5—31no—
298C4⋊Dic5—31no—
299C4⋊Dic5—61no—
300C4⋊Dic5C22×D311yescharacteristic
301C4⋊Dic5C22×D311yescharacteristic
302#683—21no—
303#683—61no—
304C4×Dic5—21no—
305C4×Dic5—61no—
306C4×Dic5—61no—
307C4×Dic5—61no—
308C4×Dic5—61no—
309C4×Dic5—61no—
310C4×Dic5—61no—
311#681—34no—
312C2×#168—31no—
313C2×#168C22×D311yescharacteristic
314#676—34no—
315#676C4×D314yescomplemented
316C8×D5—34no—
317C8×D5—34no—
318C22×M16—151no—
319C2×#117—151no—
320C2×#117—151no—
321#428—31no—
322#428—51no—
323#428—151no—
324#428—151no—
325#428—151no—
326#428—151no—
327#428—151no—
328#428—151no—
329#427—151no—
330#427—151no—
331#427—151no—
332#427—151no—
333C22×C3×C5C22×D411yescharacteristic
334C2×D15—21no—
335C2×D15—21no—
336C2×D15C2×C4⋊C412yes—
337C2×C5×D3—21no—
338C2×C5×D3—21no—
339C2×C5×D3C2×C4⋊C412yes—
340C2×C3×D5—21no—
341C2×C3×D5—21no—
342C2×C3×D5C2×C4⋊C412yes—
343D3×D5—44no—
344C3×C4×C5—41no—
345C3×C4×C5—41no—
346C3×C4×C5C23×C411yescharacteristic
347C3×C4×C5C22×Q811yescharacteristic
348Dic15—41no—
349Dic15—41no—
350Dic15C2×C4⋊C412yes—
351C3×Dic5—41no—
352C3×Dic5—41no—
353C3×Dic5C2×C4⋊C412yes—
354C5×Dic3—41no—
355C5×Dic3—41no—
356C5×Dic3C2×C4⋊C412yes—
357C23×D3—51no—
358C22×C3×C4—51no—
359C22×C3×C4—101no—
360C22×Dic3—51no—
361C22×Dic3—101no—
362C2×C4×D3—21no—
363C2×C4×D3—51no—
364C2×C4×D3—51no—
365C2×C4×D3—51no—
366C2×C4×D3—54no—
367C2×C4×D3—54no—
368C2×C4×D3—101no—
369C2×C4×D3C22×D511yescharacteristic
370C3×M16—54no—
371C2×C3×C8—51no—
372C2×C3×C8C22×D511yescharacteristic
373C3×C4⋊C4—51no—
374C3×C4⋊C4—51no—
375C3×C4⋊C4—101no—
376C3×C4⋊C4C22×D511yescharacteristic
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C22⋊C4—101no—
379C3×C42—101no—
380#217—101no—
381(C2×D3)⋊C4—21no—
382(C2×D3)⋊C4—101no—
383(C2×D3)⋊C4—101no—
384(C2×D3)⋊C4—101no—
385(C2×D3)⋊C4—101no—
386(C2×D3)⋊C4—101no—
387C4⋊Dic3—51no—
388C4⋊Dic3—51no—
389C4⋊Dic3—101no—
390C4⋊Dic3C22×D511yescharacteristic
391C4⋊Dic3C22×D511yescharacteristic
392Dic3⋊C4—21no—
393Dic3⋊C4—101no—
394C4×Dic3—21no—
395C4×Dic3—101no—
396C4×Dic3—101no—
397C4×Dic3—101no—
398C4×Dic3—101no—
399C4×Dic3—101no—
400C4×Dic3—101no—
401#208—54no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8C22×D511yescharacteristic
404ΓL(1,𝔽25)—54no—
405ΓL(1,𝔽25)C4×D514yescomplemented
406D3×C8—54no—
407D3×C8—54no—
408C23×C5—31no—
409C22×D5—31no—
410C22×D5—34no—
411C22×D5—121no—
412C22×D5—121no—
413C22×D5D3×D411yescharacteristic
414C2×C4×C5—21no—
415C2×C4×C5—21no—
416C2×C4×C5—31no—
417C2×C4×C5—32no—
418C2×C4×C5—32no—
419C2×C4×C5—61no—
420C2×C4×C5—61no—
421C2×C4×C5—122no—
422C2×C4×C5C23×D311yescharacteristic
423C2×Dic5—21no—
424C2×Dic5—21no—
425C2×Dic5—31no—
426C2×Dic5—34no—
427C2×Dic5—61no—
428C2×Dic5—61no—
429C2×Dic5—122no—
430C2×Dic5D3×D411yescharacteristic
431C4×D5—34no—
432C4×D5—32no—
433C4×D5—32no—
434C4×D5—34no—
435C4×D5—42no—
436C4×D5—122no—
437C4×D5C2×C4×D312yes—
438C4×D5D3×Q812yes—
439C5×C8—32no—
440C5×C8C2×C4×D312yes—
441#168—32no—
442#168C2×C4×D312yes—
443C23×C4—151no—
444C2×M16—31no—
445C2×M16—51no—
446C2×M16—151no—
447C2×M16—151no—
448C2×M16—158no—
449C22×C8—151no—
450C22×C8—151no—
451#117—31no—
452#117—51no—
453#117—151no—
454#117—151no—
455#117—151no—
456#117—151no—
457#117—151no—
458#117—151no—
459#117—301no—
460#117—301no—
461#117—301no—
462#117—301no—
463C2×C4⋊C4—31no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—151no—
466C2×C4⋊C4—151no—
467C2×C22⋊C4—301no—
468C2×C22⋊C4—301no—
469C2×C42—301no—
470C2×C42—301no—
471#107—31no—
472#107—31no—
473#107—51no—
474#107—51no—
475#107—151no—
476#107—151no—
477#107—151no—
478#107—151no—
479#106—31no—
480#106—51no—
481#106—151no—
482#106—151no—
483#106—151no—
484#106—151no—
485#106—151no—
486#106D3×D511yescharacteristic, complemented
487C2×C3×C5C22×C4⋊C411yescharacteristic
488C2×C3×C5#57511yescharacteristic
489C2×C3×C5#57511yescharacteristic
490D15—22no—
491C3×D5—22no—
492C5×D3—22no—
493C23×C3—51no—
494C22×D3—51no—
495C22×D3—54no—
496C22×D3—201no—
497C22×D3—201no—
498C22×D3D4×D511yescharacteristic
499C2×C3×C4—21no—
500C2×C3×C4—21no—
501C2×C3×C4—51no—
502C2×C3×C4—52no—
503C2×C3×C4—52no—
504C2×C3×C4—101no—
505C2×C3×C4—101no—
506C2×C3×C4—202no—
507C2×C3×C4C23×D511yescharacteristic
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—51no—
511C2×Dic3—54no—
512C2×Dic3—101no—
513C2×Dic3—101no—
514C2×Dic3—202no—
515C2×Dic3D4×D511yescharacteristic
516C4×D3—42no—
517C4×D3—54no—
518C4×D3—52no—
519C4×D3—52no—
520C4×D3—54no—
521C4×D3—202no—
522C4×D3C2×C4×D512yes—
523C4×D3Q8×D512yes—
524C3×C8—52no—
525C3×C8C2×C4×D512yes—
526C3⋊C8—52no—
527C3⋊C8C2×C4×D512yes—
528C22×C5—32no—
529C22×C5—61no—
530C22×C5—61no—
531C22×C5C2×D3×D411yescharacteristic
532C2×D5—21no—
533C2×D5—21no—
534C2×D5—32no—
535C2×D5—61no—
536C2×D5—61no—
537C2×D5—124no—
538C2×D5D3×C4⋊C412yes—
539C4×C5—32no—
540C4×C5—41no—
541C4×C5—41no—
542C4×C5—121no—
543C4×C5—121no—
544C4×C5C22×C4×D311yescharacteristic
545C4×C5C2×D3×Q811yescharacteristic
546Dic5—32no—
547Dic5—41no—
548Dic5—41no—
549Dic5—121no—
550Dic5—121no—
551Dic5D3×C4⋊C412yes—
552C24—151no—
553C22×C4—31no—
554C22×C4—51no—
555C22×C4—61no—
556C22×C4—101no—
557C22×C4—151no—
558C22×C4—154no—
559C22×C4—154no—
560C22×C4—151no—
561C22×C4—151no—
562C22×C4—151no—
563C22×C4—301no—
564C22×C4—301no—
565M16—34no—
566M16—54no—
567M16—154no—
568M16—154no—
569C2×C8—31no—
570C2×C8—51no—
571C2×C8—154no—
572C2×C8—151no—
573C2×C8—154no—
574C2×C8C2×D3×D511yescharacteristic
575C4⋊C4—31no—
576C4⋊C4—31no—
577C4⋊C4—51no—
578C4⋊C4—51no—
579C4⋊C4—61no—
580C4⋊C4—101no—
581C4⋊C4—151no—
582C4⋊C4—151no—
583C4⋊C4—301no—
584C4⋊C4—301no—
585C4⋊C4C2×D3×D511yescharacteristic
586C4⋊C4C2×D3×D511yescharacteristic
587C22⋊C4—61no—
588C22⋊C4—101no—
589C22⋊C4—301no—
590C22⋊C4—301no—
591C22⋊C4—301no—
592C22⋊C4—301no—
593C22⋊C4—301no—
594C22⋊C4—301no—
595C42—61no—
596C42—101no—
597C42—301no—
598C42—301no—
599C42—301no—
600C42—301no—
601C42—301no—
602C42—301no—
603C3×C5#291111yescharacteristic, complemented, Hall
604C22×C3—52no—
605C22×C3—101no—
606C22×C3—101no—
607C22×C3C2×D4×D511yescharacteristic
608C2×D3—21no—
609C2×D3—21no—
610C2×D3—52no—
611C2×D3—101no—
612C2×D3—101no—
613C2×D3—204no—
614C2×D3D5×C4⋊C412yes—
615C3×C4—41no—
616C3×C4—41no—
617C3×C4—52no—
618C3×C4—201no—
619C3×C4—201no—
620C3×C4C22×C4×D511yescharacteristic
621C3×C4C2×Q8×D511yescharacteristic
622Dic3—41no—
623Dic3—41no—
624Dic3—52no—
625Dic3—201no—
626Dic3—201no—
627Dic3D5×C4⋊C412yes—
628C2×C5—62no—
629C2×C5C2×D3×C4⋊C411yescharacteristic
630C2×C5#577311yescharacteristic
631C2×C5#577711yescharacteristic
632D5—22no—
633D5—62no—
634C23—31no—
635C23—51no—
636C23—154no—
637C23—151no—
638C23—601no—
639C23—601no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—31no—
643C2×C4—32no—
644C2×C4—32no—
645C2×C4—51no—
646C2×C4—52no—
647C2×C4—52no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—101no—
651C2×C4—101no—
652C2×C4—122no—
653C2×C4—154no—
654C2×C4—154no—
655C2×C4—154no—
656C2×C4—151no—
657C2×C4—152no—
658C2×C4—152no—
659C2×C4—202no—
660C2×C4—301no—
661C2×C4—301no—
662C2×C4—602no—
663C2×C4—602no—
664C2×C4C22×D3×D511yescharacteristic
665C8—32no—
666C8—52no—
667C8—152no—
668C8C4×D3×D512yes—
669C2×C3—102no—
670C2×C3C2×D5×C4⋊C411yescharacteristic
671C2×C3#6610711yescharacteristic
672C2×C3#6611111yescharacteristic
673D3—22no—
674D3—102no—
675C5#7920811yescharacteristic, complemented, Sylow
676C22—32no—
677C22—52no—
678C22—61no—
679C22—61no—
680C22—101no—
681C22—101no—
682C22—152no—
683C22—301no—
684C22—301no—
685C22—604no—
686C22D3×D4×D511yescharacteristic
687C4—32no—
688C4—41no—
689C4—41no—
690C4—52no—
691C4—121no—
692C4—121no—
693C4—152no—
694C4—201no—
695C4—201no—
696C4—601no—
697C4—601no—
698C4C2×C4×D3×D511yescharacteristic
699C4D3×Q8×D511yescharacteristic
700C3#1061093911yescharacteristic, complemented, Sylow
701C2—62no—
702C2—102no—
703C2—302no—
704C2D3×D5×C4⋊C411yescharacteristic
705C2#1175407211yescharacteristic
706C2#1175407411yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC22×D3×D5D4
cosocleC2×C3×C4×C5C24
hypercenter#106D3×D5
hypocenterC3×C5#2911
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
4. #11750961C2semidirect
5. C5×#4861C2semidirect
6. C3×#65150C2semidirect
7. #11747690C2semidirect
8. #11747630C2semidirect
9. #11747619C2semidirect
10. #11747455C2semidirect
11. #11747453C2semidirect
12. #11747440C2semidirect
13. #11747439C2semidirect
14. #11747190C2semidirect
15. #11747188C2semidirect
44. #91246C4semidirect
45. C3×C5×#106C22semidirect
46. #91101C22semidirect
47. #91091C22semidirect
48. #91091C22semidirect
49. C5×#818C22semidirect
50. C5×#808C22semidirect
51. C5×#807C22semidirect
52. C3×#3950C22semidirect
53. C3×#3940C22semidirect
54. C3×#3939C22semidirect
55. #90990C22semidirect
56. #90988C22semidirect
57. #90987C22semidirect
58. #90986C22semidirect
59. #90986C22semidirect
60. #90985C22semidirect
74. #65150D3semidirect
100. C8×D15C2×C4semidirect
107. C5×ΓL(1,𝔽25)C2×C4semidirect
114. C3×#676C2×C4semidirect
125. #6650C2×C4semidirect
126. #6649C2×C4semidirect
127. #6648C2×C4semidirect
140. #4861D5semidirect
174. C5×#106C2×D3semidirect
176. #3950C2×D3semidirect
182. #3940C2×D3semidirect
186. #3939C2×D3semidirect
254. C3×#106C2×D5semidirect
256. #818C2×D5semidirect
262. #808C2×D5semidirect
266. #807C2×D5semidirect
315. #676C4×D3semidirect
405. ΓL(1,𝔽25)C4×D5semidirect
486. #106D3×D5semidirect
603. C3×C5#2911semidirect
675. C5#79208semidirect
700. C3#10610939semidirect

Maximal subgroups

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

subgroupindex
C2×#912462
D3×#40382
D5×#8922
#117509612
C5×#48612
C3×#651502
#117476902
#117476302
#117476192
#117474552
#117474532
#117474402
#117474392
#117471902
#117471882
#106109393
#792085