Finite Group Databasebeta

← #14431678

Subgroups — #14431678

Order 1920.

832 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
1#11755281C211yesmaximal, characteristic
2#11753835C211yesmaximal, characteristic
3D15×#103C211yesmaximal, characteristic, complemented
4C5×#4814C211yesmaximal, characteristic, complemented
5C3×#65103C211yesmaximal, characteristic, complemented
6#11749212C211yesmaximal, characteristic, complemented
7#11749210C211yesmaximal, characteristic, complemented
8#11749203C211yesmaximal, characteristic, complemented
9#11748100C211yesmaximal, characteristic
10#11747683C211yesmaximal, characteristic, complemented
11#11747673C211yesmaximal, characteristic, complemented
12#11747636C211yesmaximal, characteristic, complemented
13#11747441C211yesmaximal, characteristic, complemented
14#11747177C211yesmaximal, characteristic, complemented
15#11747171C211yesmaximal, characteristic, complemented
16D5×#485—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C2×C4×D3×D5C2211yescharacteristic
19C2×C8×D15C2211yescharacteristic
20C4⋊C4×D15C2211yescharacteristic
21C5×#946C2211yescharacteristic
22C5×#892C2211yescharacteristic
23C3×#4092C2211yescharacteristic
24C3×#4038C2211yescharacteristic
25#91473—21no—
26#91473—21no—
27#91437C2211yescharacteristic
28#91437C2211yescharacteristic
29#91432—21no—
30#91431—21no—
31#91404—21no—
32C4×#1200—21no—
33#91398—21no—
34#91393—21no—
35#91365C2211yescharacteristic
36#91360C2211yescharacteristic
37#91358C2211yescharacteristic
38#91338C2211yescharacteristic
39C2×#6648C2211yescharacteristic
40C3×C5×#103C2211yescharacteristic, complemented
41#91119C2211yescharacteristic, complemented
42#91100C2211yescharacteristic, complemented
43#91094C2211yescharacteristic, complemented
44C5×#835C2211yescharacteristic, complemented
45C5×(C2×D3)⋊C8C2211yescharacteristic
46C5×#818C2211yescharacteristic, complemented
47C5×#808C2211yescharacteristic, complemented
48C3×#3967C2211yescharacteristic, complemented
49C3×#3952C2211yescharacteristic
50C3×#3950C2211yescharacteristic, complemented
51C3×#3940C2211yescharacteristic, complemented
52#90989C2211yescharacteristic, complemented
53#90989C2211yescharacteristic, complemented
54#90987C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90975C2211yescharacteristic, complemented
57#90974C2211yescharacteristic, complemented
58(C2×D3)⋊#168C2211yescharacteristic
59#90955C2211yescharacteristic
60D3×#485—51nomaximal, Hall
61D5×C22⋊Q8—31no—
62D5×#117—31no—
63C5×#485—31no—
64#65334—31no—
65#65285—31no—
66#65177—31no—
67D5×#107—31no—
68#65156—31no—
69D5×#106—31no—
70#65104—31no—
71#65103D311yescharacteristic, complemented
72D5×#103—31no—
73D5×#103—31no—
74D5×C22⋊C8—31no—
75#65012—31no—
76C22×D3×D5D411yescharacteristic
77C2×C3×C5×Q8C2311yescharacteristic
78Q8×D15—22no—
79Q8×D15—22no—
80C2×C4×D15—21no—
81C2×C4×D15—21no—
82C2×C4×D15C2311yescharacteristic
83C2×Dic30—21no—
84C2×Dic30C2311yescharacteristic
85C2×C4×C5×D3C2311yescharacteristic
86C2×C3×C4×D5C2311yescharacteristic
87C2×#1200—21no—
88C2×#1200—21no—
89C2×#1200D411yescharacteristic
90C2×D3×Dic5D411yescharacteristic
91C2×D5×Dic3D411yescharacteristic
92C4×D3×D5—22no—
93C4×D3×D5—22no—
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97#6712—21no—
98C2×C3⋊#168C2311yescharacteristic
99C8×D15—22no—
100C5×(C2×D3)⋊C4—21no—
101C5×(C2×D3)⋊C4—21no—
102C5×C4⋊Dic3C2311yescharacteristic
103C5×C4⋊Dic3C2311yescharacteristic
104C5×Dic3⋊C4—21no—
105C4×C5×Dic3—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C3×#685—21no—
108C3×#685—21no—
109C3×C4⋊Dic5C2311yescharacteristic
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×C4×Dic5—21no—
113C2×C3×#168C2311yescharacteristic
114Dic3⋊Dic5—21no—
115#6669—21no—
116#6669—21no—
117#6668—21no—
118(C2×D3)⋊Dic5—21no—
119(C2×D3)⋊Dic5—21no—
120#6665—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124#6648—22no—
125D3×C22⋊Q8—51no—
126D3×#117—51no—
127C3×#485—51no—
128#5045—51no—
129#4996—51no—
130#4888—51no—
131D3×#107—51no—
132#4868—51no—
133D3×#106—51no—
134#4815—51no—
135#4814D511yescharacteristic, complemented
136D3×#103—51no—
137D3×#103—51no—
138D3×C22⋊C8—51no—
139#4723—51no—
140C2×Q8×D5—31no—
141C22×C4×D5—31no—
142C5×C22⋊Q8—31no—
143C5×#117—31no—
144#4092C2×D311yescharacteristic
145#4072—31no—
146#4070—31no—
147C2×C8×D5—31no—
148C2×C8×D5—31no—
149#4043—31no—
150#4042—61no—
151#4038—31no—
152#4038C2×D311yescharacteristic
153D5×C4⋊C4—31no—
154D5×C4⋊C4—31no—
155D5×C4⋊C4—31no—
156D5×C4⋊C4—61no—
157D5×C22⋊C4—61no—
158D5×C22⋊C4—61no—
159#4024—61no—
160#4023—61no—
161#4018—61no—
162C42×D5—61no—
163C5×#107—31no—
164C5×#106—31no—
165C5×#103—31no—
166C5×#103C2×D311yescharacteristic, complemented
167C5×C22⋊C8—31no—
168#3967—31no—
169#3967C2×D311yescharacteristic, complemented
170C22⋊#168—31no—
171#3952—31no—
172#3952C2×D311yescharacteristic
173#3950C2×D311yescharacteristic, complemented
174#3949—31no—
175#3948—31no—
176#3948—31no—
177#3942—31no—
178#3942—31no—
179#3940—31no—
180#3940C2×D311yescharacteristic, complemented
181#3939—31no—
182#3939—31no—
183C2×#485—151noSylow
184C22×D15C2×D411yescharacteristic
185C22×C5×D3C2×D411yescharacteristic
186C22×C3×D5C2×D411yescharacteristic
187C2×D3×D5—22no—
188C2×D3×D5—22no—
189C2×D3×D5—22no—
190C3×C5×Q8—21no—
191C3×C5×Q8—21no—
192C2×C3×C4×C5—21no—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5C2411yescharacteristic
195C2×Dic15—21no—
196C2×Dic15—21no—
197C2×Dic15C2×D411yescharacteristic
198C4×D15—42no—
199C4×D15—42no—
200C4×D15#4112yes—
201C4×D15#4112yes—
202Dic30—21no—
203Dic30—21no—
204Dic30—42no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—21no—
207C2×C5×Dic3C2×D411yescharacteristic
208C4×C5×D3—21no—
209C4×C5×D3—21no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—21no—
212C2×C3×Dic5C2×D411yescharacteristic
213C3×C4×D5—21no—
214C3×C4×D5—21no—
215#1200—22no—
216#1200—42no—
217#1200—42no—
218D3×Dic5—22no—
219D5×Dic3—22no—
220C3×C5×C8—21no—
221C3⋊#168—21no—
222C3×#168—21no—
223C5×C3⋊C8—21no—
224C2×D3×Q8—51no—
225C22×C4×D3—51no—
226C3×C22⋊Q8—51no—
227C3×#117—51no—
228#946C2×D511yescharacteristic
229#926—51no—
230#924—51no—
231C2×D3×C8—51no—
232C2×D3×C8—51no—
233#897—51no—
234#896—101no—
235#892—51no—
236#892C2×D511yescharacteristic
237D3×C4⋊C4—51no—
238D3×C4⋊C4—51no—
239D3×C4⋊C4—51no—
240D3×C4⋊C4—101no—
241D3×C22⋊C4—101no—
242D3×C22⋊C4—101no—
243#878—101no—
244#877—101no—
245#872—101no—
246C42×D3—101no—
247C3×#107—51no—
248C3×#106—51no—
249C3×#103—51no—
250C3×#103C2×D511yescharacteristic, complemented
251C3×C22⋊C8—51no—
252#835—51no—
253#835C2×D511yescharacteristic, complemented
254#830—51no—
255(C2×D3)⋊C8—51no—
256(C2×D3)⋊C8C2×D511yescharacteristic
257#818C2×D511yescharacteristic, complemented
258#817—51no—
259#816—51no—
260#816—51no—
261#810—51no—
262#810—51no—
263#808—51no—
264#808C2×D511yescharacteristic, complemented
265#807—51no—
266#807—51no—
267C23×D5—31no—
268C2×C5×Q8C22×D311yescharacteristic
269C22×C4×C5—31no—
270C22×Dic5—31no—
271Q8×D5—62no—
272Q8×D5—62no—
273C2×C4×D5—31no—
274C2×C4×D5—31no—
275C2×C4×D5—31no—
276C2×C4×D5—62no—
277C2×C4×D5—62no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5C22×D311yescharacteristic
283C2×Dic10—31no—
284C2×Dic10—61no—
285C2×C5×C8—31no—
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4—31no—
288C5×C4⋊C4—31no—
289C5×C4⋊C4—61no—
290C5×C4⋊C4C22×D311yescharacteristic
291C5×C22⋊C4—61no—
292C5×C22⋊C4—61no—
293C42×C5—61no—
294C22⋊Dic5—61no—
295C22⋊Dic5—61no—
296#685—21no—
297#685—21no—
298#685—61no—
299#685—61no—
300C4⋊Dic5—31no—
301C4⋊Dic5—61no—
302C4⋊Dic5C22×D311yescharacteristic
303C4⋊Dic5C22×D311yescharacteristic
304#683—21no—
305#683—61no—
306#683—61no—
307#683—61no—
308#683—61no—
309C4×Dic5—21no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168C22×D311yescharacteristic
314C8×D5—62no—
315C8×D5—62no—
316C2×C22⋊Q8—151no—
317C2×#117—151no—
318#485—31no—
319#485—51no—
320#485—151no—
321#485—151no—
322#485—151no—
323#485—151no—
324#485—151no—
325#485—151no—
326C2×#107—151no—
327C2×#106—151no—
328C2×#103—151no—
329C2×#103—151no—
330C2×C22⋊C8—151no—
331C22×C3×C5C22×D411yescharacteristic
332C2×D15#12312yes—
333C2×D15#13512yes—
334C2×D15#13712yes—
335C2×C5×D3—21no—
336C2×C5×D3—21no—
337C2×C5×D3—21no—
338C2×C3×D5—21no—
339C2×C3×D5—21no—
340C2×C3×D5—21no—
341D3×D5—44no—
342C3×C4×C5—41no—
343C3×C4×C5—41no—
344C3×C4×C5C2×#4111yescharacteristic
345C3×C4×C5C2×#4111yescharacteristic
346Dic15—41no—
347Dic15—41no—
348Dic15#12312yes—
349C3×Dic5—21no—
350C3×Dic5—41no—
351C3×Dic5—41no—
352C5×Dic3—21no—
353C5×Dic3—41no—
354C5×Dic3—41no—
355C23×D3—51no—
356C2×C3×Q8C22×D511yescharacteristic
357C22×C3×C4—51no—
358C22×Dic3—51no—
359D3×Q8—102no—
360D3×Q8—102no—
361C2×C4×D3—51no—
362C2×C4×D3—51no—
363C2×C4×D3—51no—
364C2×C4×D3—102no—
365C2×C4×D3—102no—
366C2×C4×D3—101no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3C22×D511yescharacteristic
371C2×Dic6—51no—
372C2×Dic6—101no—
373C2×C3×C8—51no—
374C2×C3×C8C22×D511yescharacteristic
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—101no—
380C3×C22⋊C4—101no—
381C3×C42—101no—
382#217—101no—
383#217—101no—
384(C2×D3)⋊C4—21no—
385(C2×D3)⋊C4—21no—
386(C2×D3)⋊C4—101no—
387(C2×D3)⋊C4—101no—
388C4⋊Dic3—51no—
389C4⋊Dic3—101no—
390C4⋊Dic3C22×D511yescharacteristic
391C4⋊Dic3C22×D511yescharacteristic
392Dic3⋊C4—21no—
393Dic3⋊C4—101no—
394Dic3⋊C4—101no—
395Dic3⋊C4—101no—
396Dic3⋊C4—101no—
397C4×Dic3—21no—
398C4×Dic3—101no—
399C4×Dic3—101no—
400C2×C3⋊C8—51no—
401C2×C3⋊C8C22×D511yescharacteristic
402D3×C8—102no—
403D3×C8—102no—
404C23×C5—31no—
405C22×D5—31no—
406C22×D5—62no—
407C22×D5—62no—
408C22×D5—62no—
409C22×D5D3×D411yescharacteristic
410C5×Q8—21no—
411C5×Q8—21no—
412C2×C4×C5—21no—
413C2×C4×C5—21no—
414C2×C4×C5—31no—
415C2×C4×C5—61no—
416C2×C4×C5—61no—
417C2×C4×C5—61no—
418C2×C4×C5—61no—
419C2×C4×C5C23×D311yescharacteristic
420C2×Dic5—21no—
421C2×Dic5—21no—
422C2×Dic5—31no—
423C2×Dic5—62no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5D3×D411yescharacteristic
427C4×D5—21no—
428C4×D5—21no—
429C4×D5—32no—
430C4×D5—32no—
431C4×D5—62no—
432C4×D5—62no—
433C4×D5—122no—
434C4×D5—122no—
435C4×D5—122no—
436C4×D5—122no—
437Dic10—61no—
438Dic10—61no—
439Dic10—122no—
440C5×C8—21no—
441C5×C8—61no—
442#168—21no—
443#168—61no—
444C22×Q8—151no—
445C23×C4—151no—
446C22×C8—151no—
447C22×C8—151no—
448C22⋊Q8—31no—
449C22⋊Q8—51no—
450C22⋊Q8—151no—
451C22⋊Q8—151no—
452C22⋊Q8—301no—
453C22⋊Q8—301no—
454#117—31no—
455#117—51no—
456#117—151no—
457#117—151no—
458#117—301no—
459#117—301no—
460C2×C4⋊C4—151no—
461C2×C4⋊C4—151no—
462C2×C4⋊C4—151no—
463C2×C4⋊C4—301no—
464C2×C22⋊C4—301no—
465C2×C22⋊C4—301no—
466C2×C42—301no—
467#107—31no—
468#107—51no—
469#107—151no—
470#107—151no—
471#106—31no—
472#106—51no—
473#106—151no—
474#106—151no—
475#103—31no—
476#103—51no—
477#103—151no—
478#103—151no—
479#103—151no—
480#103—151no—
481#103—151no—
482#103D3×D511yescharacteristic, complemented
483C22⋊C8—31no—
484C22⋊C8—51no—
485C22⋊C8—151no—
486C22⋊C8—151no—
487C2×C3×C5C2×#12311yescharacteristic
488C2×C3×C5C2×#13511yescharacteristic
489C2×C3×C5C2×#13711yescharacteristic
490D15#48514yescomplemented
491C3×D5—41no—
492C5×D3—41no—
493C23×C3—51no—
494C22×D3—51no—
495C22×D3—102no—
496C22×D3—102no—
497C22×D3—102no—
498C22×D3D4×D511yescharacteristic
499C3×Q8—21no—
500C3×Q8—21no—
501C2×C3×C4—21no—
502C2×C3×C4—21no—
503C2×C3×C4—51no—
504C2×C3×C4—101no—
505C2×C3×C4—101no—
506C2×C3×C4—101no—
507C2×C3×C4—101no—
508C2×C3×C4C23×D511yescharacteristic
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—51no—
512C2×Dic3—102no—
513C2×Dic3—101no—
514C2×Dic3—101no—
515C2×Dic3D4×D511yescharacteristic
516C4×D3—21no—
517C4×D3—21no—
518C4×D3—52no—
519C4×D3—52no—
520C4×D3—102no—
521C4×D3—102no—
522C4×D3—202no—
523C4×D3—202no—
524C4×D3—202no—
525C4×D3—202no—
526Dic6—101no—
527Dic6—101no—
528Dic6—202no—
529C3×C8—21no—
530C3×C8—101no—
531C3⋊C8—21no—
532C3⋊C8—101no—
533C22×C5—61no—
534C22×C5—61no—
535C22×C5—61no—
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—21no—
538C2×D5—21no—
539C2×D5—21no—
540C2×D5—32no—
541C2×D5—32no—
542C2×D5—32no—
543C2×D5—124no—
544C4×C5—41no—
545C4×C5—41no—
546C4×C5—61no—
547C4×C5—121no—
548C4×C5—121no—
549C4×C5D3×#4111yescharacteristic
550C4×C5D3×#4111yescharacteristic
551Dic5—21no—
552Dic5—32no—
553Dic5—41no—
554Dic5—41no—
555Dic5—121no—
556Dic5—121no—
557C24—151no—
558C2×Q8—151no—
559C2×Q8—301no—
560C2×Q8—302no—
561C2×Q8—302no—
562C2×Q8C2×D3×D511yescharacteristic
563C22×C4—31no—
564C22×C4—51no—
565C22×C4—151no—
566C22×C4—151no—
567C22×C4—151no—
568C22×C4—151no—
569C22×C4—301no—
570C22×C4—301no—
571C22×C4—302no—
572C22×C4—302no—
573C22×C4—301no—
574C22×C4—301no—
575C2×C8—31no—
576C2×C8—51no—
577C2×C8—151no—
578C2×C8—302no—
579C2×C8—302no—
580C2×C8C2×D3×D511yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—51no—
584C4⋊C4—51no—
585C4⋊C4—61no—
586C4⋊C4—101no—
587C4⋊C4—151no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C4⋊C4C2×D3×D511yescharacteristic
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—101no—
597C22⋊C4—101no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—61no—
603C42—101no—
604C42—301no—
605C42—301no—
606C3×C5C2×#48511yescharacteristic, complemented, Hall
607C22×C3—101no—
608C22×C3—101no—
609C22×C3—101no—
610C22×C3C2×D4×D511yescharacteristic
611C2×D3—21no—
612C2×D3—21no—
613C2×D3—21no—
614C2×D3—52no—
615C2×D3—52no—
616C2×D3—52no—
617C2×D3—204no—
618C3×C4—41no—
619C3×C4—41no—
620C3×C4—101no—
621C3×C4—201no—
622C3×C4—201no—
623C3×C4D5×#4111yescharacteristic
624C3×C4D5×#4111yescharacteristic
625Dic3—21no—
626Dic3—41no—
627Dic3—41no—
628Dic3—52no—
629Dic3—201no—
630Dic3—201no—
631C2×C5—121no—
632C2×C5D3×#12311yescharacteristic
633C2×C5D3×#13511yescharacteristic
634C2×C5D3×#13711yescharacteristic
635D5—34no—
636D5—41no—
637C23—31no—
638C23—51no—
639C23—151no—
640C23—302no—
641C23—302no—
642C23—302no—
643Q8—21no—
644Q8—21no—
645Q8—301no—
646Q8—301no—
647Q8—602no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—31no—
651C2×C4—51no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—101no—
657C2×C4—101no—
658C2×C4—101no—
659C2×C4—101no—
660C2×C4—151no—
661C2×C4—152no—
662C2×C4—152no—
663C2×C4—302no—
664C2×C4—302no—
665C2×C4—302no—
666C2×C4—301no—
667C2×C4—301no—
668C2×C4—602no—
669C2×C4—602no—
670C2×C4—602no—
671C2×C4—602no—
672C2×C4C22×D3×D511yescharacteristic
673C8—21no—
674C8—61no—
675C8—101no—
676C8—301no—
677C2×C3—201no—
678C2×C3D5×#12311yescharacteristic
679C2×C3D5×#13511yescharacteristic
680C2×C3D5×#13711yescharacteristic
681D3—41no—
682D3—54no—
683C5D3×#48511yescharacteristic, complemented, Sylow
684C22—61no—
685C22—61no—
686C22—61no—
687C22—101no—
688C22—101no—
689C22—101no—
690C22—152no—
691C22—152no—
692C22—152no—
693C22—604no—
694C22D3×D4×D511yescharacteristic
695C4—41no—
696C4—41no—
697C4—61no—
698C4—101no—
699C4—121no—
700C4—121no—
701C4—152no—
702C4—201no—
703C4—201no—
704C4—601no—
705C4—601no—
706C4#9201611yescharacteristic
707C4#9202411yescharacteristic
708C3D5×#48511yescharacteristic, complemented, Sylow
709C2—121no—
710C2—154no—
711C2—201no—
712C2#1175321011yescharacteristic
713C2#1175407011yescharacteristic
714C2#1175410511yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC22×D3×D5D4
hypercenter#103D3×D5
hypocenterC3×C5C2×#485
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
3. D15×#103C2semidirect
4. C5×#4814C2semidirect
5. C3×#65103C2semidirect
6. #11749212C2semidirect
7. #11749210C2semidirect
8. #11749203C2semidirect
10. #11747683C2semidirect
11. #11747673C2semidirect
12. #11747636C2semidirect
13. #11747441C2semidirect
14. #11747177C2semidirect
15. #11747171C2semidirect
40. C3×C5×#103C22semidirect
41. #91119C22semidirect
42. #91100C22semidirect
43. #91094C22semidirect
44. C5×#835C22semidirect
46. C5×#818C22semidirect
47. C5×#808C22semidirect
48. C3×#3967C22semidirect
50. C3×#3950C22semidirect
51. C3×#3940C22semidirect
52. #90989C22semidirect
53. #90989C22semidirect
54. #90987C22semidirect
55. #90985C22semidirect
56. #90975C22semidirect
57. #90974C22semidirect
71. #65103D3semidirect
135. #4814D5semidirect
166. C5×#103C2×D3semidirect
169. #3967C2×D3semidirect
173. #3950C2×D3semidirect
180. #3940C2×D3semidirect
250. C3×#103C2×D5semidirect
253. #835C2×D5semidirect
257. #818C2×D5semidirect
264. #808C2×D5semidirect
482. #103D3×D5semidirect
490. D15#485semidirect
606. C3×C5C2×#485semidirect
683. C5D3×#485semidirect
708. C3D5×#485semidirect

Maximal subgroups

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

subgroupindex
#117552812
#117538352
D15×#1032
C5×#48142
C3×#651032
#117492122
#117492102
#117492032
#117481002
#117476832
#117476732
#117476362
#117474412
#117471772
#117471712
D5×#4853
D3×#4855