Finite Group Databasebeta

← #14416848

Subgroups — #14416848

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×Q8×Dic5C211yesmaximal, characteristic, complemented
2C2×#91518C211yesmaximal, characteristic
3#11753398C211yesmaximal, characteristic
4#11750890C211yesmaximal, characteristic, complemented
5C5×#4802C211yesmaximal, characteristic, complemented
6C3×#65077C211yesmaximal, characteristic, complemented
7#11749244C211yesmaximal, characteristic, complemented
8#11749241C211yesmaximal, characteristic, complemented
9#11748138C211yesmaximal, characteristic
10#11747834C211yesmaximal, characteristic, complemented
11#11747736C211yesmaximal, characteristic, complemented
12Dic5×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
13#11747281C211yesmaximal, characteristic, complemented
14#11747261C211yesmaximal, characteristic, complemented
15#11747191C211yesmaximal, characteristic, complemented
16#10610677—31nomaximal, Hall
17C2×C5×D3×Q8C2211yescharacteristic
18C2×#6765C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21#91776C2211yescharacteristic
22C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
23C5×#892C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C2×C3×#688C2211yescharacteristic
26C3×#4039C2211yescharacteristic
27#91518C418yescomplemented
28#91442—21no—
29#91440—21no—
30#91434C2211yescharacteristic
31D3×C4⋊Dic5—21no—
32D3×C4⋊Dic5C2211yescharacteristic
33C4×D3×Dic5—21no—
34C4×D3×Dic5C2211yescharacteristic
35#91393—21no—
36C4×D5×Dic3—21no—
37#91344—21no—
38#91344C2211yescharacteristic
39#91333C2211yescharacteristic
40Dic5×Dic6—21no—
41Dic5×Dic6C2211yescharacteristic
42C2×#6663C2211yescharacteristic
43C2×#6655C2211yescharacteristic
44C2×#6650C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91100C2211yescharacteristic
47#91099C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#816C2211yescharacteristic
51C5×#810C2211yescharacteristic
52C3×#3953C2211yescharacteristic
53C3×C8×Dic5C2211yescharacteristic
54C3×#3940C2211yescharacteristic
55#90989C2211yescharacteristic
56#90988C2211yescharacteristic
57#90974C2211yescharacteristic
58#90965C2211yescharacteristic
59#90954C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61C4×#915—51nomaximal, Hall
62C2×Q8×Dic5—31no—
63C2×#4088—31no—
64#65856—31no—
65C5×#419—31no—
66#65422—31no—
67M16×Dic5—31no—
68#65284—31no—
69#65106—31no—
70#65106—31no—
71#65079—31no—
72#65079—31no—
73#65078—31no—
74#65078—31no—
75#65077—31no—
76#65077D311yescharacteristic, complemented
77C2×C3×C5×Q8C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C5×D3×Q8—22no—
80C5×D3×Q8C2×C414yescomplemented
81C2×C4×C5×D3—21no—
82C2×C4×C5×D3C2311yescharacteristic
83C2×C5×Dic6—21no—
84C2×C5×Dic6C2311yescharacteristic
85C2×C3×D20C2311yescharacteristic
86C2×C3×C4×D5—21no—
87C2×#1201—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5D411yescharacteristic
90C2×D3×Dic5D411yescharacteristic
91C2×D5×Dic3—21no—
92C2×D5×Dic3—21no—
93#6765—22no—
94#6765C2×C414yes—
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6718C2×C414yescomplemented
98C4⋊Dic15—21no—
99C4⋊Dic15C2311yescharacteristic
100#6712—21no—
101C4×Dic15—21no—
102C4×Dic15—21no—
103C4×Dic15C2311yescharacteristic
104C2×C3⋊#168C2311yescharacteristic
105C5×(C2×D3)⋊C4—21no—
106C5×C4⋊Dic3C2311yescharacteristic
107C4×C5×Dic3—21no—
108C2×C5×C3⋊C8C2311yescharacteristic
109C5×ΓL(1,𝔽25)—22no—
110C3×#688C2×C414yescomplemented
111C3×#685—21no—
112C3×C4⋊Dic5—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4×Dic5—21no—
115C3×C4×Dic5C2311yescharacteristic
116C2×C3×#168C2311yescharacteristic
117Dic3⋊Dic5—21no—
118Dic3⋊Dic5—21no—
119Dic3⋊Dic5—21no—
120#6669—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6663C2×C414yescomplemented
128#6655C2×C414yescomplemented
129#6650C2×C414yescomplemented
130C2×#915—51no—
131C4×D3×Q8—51no—
132C4×#237—51no—
133C3×C4×SD16—51no—
134#5164—51no—
135C4×#216—51no—
136C4×#214—51no—
137#4861—51no—
138#4853—51no—
139#4802D511yescharacteristic, complemented
140#4789—51no—
141#4771—51no—
142#4757—51no—
143C4×Dic12—51no—
144C4×ΓL(1,𝔽25)—51no—
145C22×C5×Q8—31no—
146C2×#709—31no—
147C2×C5×M16—31no—
148C5×#117—31no—
149Q8×Dic5—31no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152Q8×Dic5—61no—
153Q8×Dic5—61no—
154Q8×Dic5C2×D311yescharacteristic
155C2×#689—31no—
156C2×#689—31no—
157#4088—38no—
158C2×#688—31no—
159C2×#688C2×D311yescharacteristic
160C2×C4⋊Dic5—31no—
161C2×C4⋊Dic5—61no—
162C2×C4×Dic5—31no—
163C2×C4×Dic5—61no—
164C2×#681—31no—
165#4039—31no—
166#4039C2×D311yescharacteristic
167#4033—31no—
168#4033—31no—
169#4027—61no—
170#4027—61no—
171#4018—61no—
172C42×D5—61no—
173C5×#103—31no—
174C5×#103—31no—
175C5×#103—31no—
176C5×#103C2×D311yescharacteristic
177#3953—31no—
178#3953C2×D311yescharacteristic
179#3948—31no—
180#3948—31no—
181#3947—31no—
182#3947—31no—
183C8×Dic5—31no—
184C8×Dic5C2×D311yescharacteristic
185#3940—31no—
186#3940C2×D311yescharacteristic
187#3939—31no—
188#3939—31no—
189C4×#137—151noSylow
190C22×C5×D3C2×D411yescharacteristic
191C22×C3×D5—21no—
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2411yescharacteristic
197C2×Dic15—21no—
198C2×Dic15—21no—
199C2×Dic15C2×D411yescharacteristic
200C2×Dic15C2×D411yescharacteristic
201Dic30—21no—
202Dic30C22×C412yes—
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C4×C5×D3—24no—
207C4×C5×D3C22×C412yes—
208C4×C5×D3#4112yes—
209C5×Dic6—21no—
210C5×Dic6—24no—
211C5×Dic6C22×C412yes—
212C2×C3×Dic5—21no—
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C3×D20—21no—
216C3×D20C22×C412yes—
217C3×C4×D5—42no—
218#1201—24no—
219D3×Dic5—22no—
220D3×Dic5—41no—
221D3×Dic5—42no—
222D5×Dic3—24no—
223D5×Dic3—42no—
224C3×C5×C8—21no—
225C3⋊#168C22×C412yes—
226C3×#168C22×C412yes—
227C5×C3⋊C8—21no—
228C2×D3×Q8C2×D511yescharacteristic
229C2×#237—51no—
230C2×C3×SD16—51no—
231C3×C4×Q8—51no—
232C3×C4×D4—51no—
233Q8×Dic3—51no—
234C2×#216—51no—
235D4×Dic3—51no—
236C2×#214—51no—
237C4×#67—101no—
238C2×C4×Dic3—101no—
239#915—58no—
240C2×Dic12—51no—
241C2×ΓL(1,𝔽25)—51no—
242C2×ΓL(1,𝔽25)C2×D511yescharacteristic
243#892C2×D511yescharacteristic
244D3×C4⋊C4—51no—
245D3×C4⋊C4—101no—
246#887—51no—
247#887—51no—
248#887—101no—
249#67⋊C4—101no—
250#877—101no—
251C42×D3—51no—
252C42×D3—101no—
253C4×Dic6—51no—
254C4×Dic6—51no—
255C4×Dic6—101no—
256C3×#106—51no—
257C3×#103C2×D511yescharacteristic
258C3×#102—51no—
259C3×C4×C8—51no—
260#835C2×D511yescharacteristic
261#832—51no—
262#818—51no—
263#816—51no—
264#816C2×D511yescharacteristic
265#815—51no—
266#815—51no—
267#810—51no—
268#810C2×D511yescharacteristic
269#808—51no—
270#807—51no—
271C4×C3⋊C8—51no—
272C2×C5×Q8—34no—
273C2×C5×Q8—31no—
274C2×C5×Q8—61no—
275C2×C5×Q8—62no—
276C2×C5×Q8C22×D311yescharacteristic
277C22×C4×C5—31no—
278C22×C4×C5—61no—
279C2×C22⋊D5—61no—
280C22×Dic5—31no—
281C22×Dic5—31no—
282C22×Dic5—61no—
283#709—34no—
284#709—62no—
285C2×D20C22×D311yescharacteristic
286C2×C4×D5—21no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×Dic10—31no—
290C5×M16—62no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C22⋊C4—61no—
296C42×C5—61no—
297#689—34no—
298#689—34no—
299#688—34no—
300#688C4×D314yescomplemented
301#685—21no—
302#685—61no—
303C4⋊Dic5—21no—
304C4⋊Dic5—31no—
305C4⋊Dic5—61no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308C4⋊Dic5—61no—
309C4⋊Dic5C22×D311yescharacteristic
310#683—61no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—31no—
314C4×Dic5—31no—
315C4×Dic5—31no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5C22×D311yescharacteristic
322#681—34no—
323C2×#168—31no—
324C2×#168C22×D311yescharacteristic
325C2×#137—151no—
326C4×#41—151no—
327C2×C4×Q8—151no—
328#441—151no—
329#441—151no—
330#440—151no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—51no—
335C4×SD16—151no—
336#428—151no—
337#419—31no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5C22×D411yescharacteristic
341C2×C5×D3—21no—
342C2×C5×D3—21no—
343C2×C5×D3C4×D412yes—
344C2×C3×D5—22no—
345C2×C3×D5—41no—
346C2×C3×D5—41no—
347C3×C4×C5—22no—
348C3×C4×C5—41no—
349C3×C4×C5C23×C411yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351Dic15—22no—
352Dic15—21no—
353Dic15—21no—
354Dic15—41no—
355C3×Dic5—21no—
356C3×Dic5—41no—
357C3×Dic5#13712yescomplemented
358C5×Dic3—22no—
359C5×Dic3—41no—
360C5×Dic3C4×D412yes—
361C2×C3×Q8C22×D511yescharacteristic
362C2×C3×D4—51no—
363C22×C3×C4—101no—
364C2×#67—101no—
365C22×Dic3—101no—
366C22×Dic3—101no—
367D3×Q8—22no—
368D3×Q8C4×D514yescomplemented
369#237—54no—
370#237—102no—
371C2×C4×D3—21no—
372C2×C4×D3—51no—
373C2×C4×D3—51no—
374C2×C4×D3—101no—
375C2×C4×D3C22×D511yescharacteristic
376C2×Dic6—21no—
377C2×Dic6—51no—
378C2×Dic6C22×D511yescharacteristic
379C3×SD16—54no—
380C2×C3×C8—51no—
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4—101no—
384C3×C4⋊C4C22×D511yescharacteristic
385C3×C22⋊C4—101no—
386C3×C42—51no—
387C3×C42—101no—
388#217—101no—
389#216—54no—
390#214—54no—
391(C2×D3)⋊C4—21no—
392C4⋊Dic3—51no—
393C4⋊Dic3—101no—
394C4⋊Dic3C22×D511yescharacteristic
395Dic3⋊C4—101no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—21no—
401C4×Dic3—51no—
402C4×Dic3—51no—
403C4×Dic3—51no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C2×C3⋊C8—51no—
410C2×C3⋊C8C22×D511yescharacteristic
411Dic12—54no—
412ΓL(1,𝔽25)—22no—
413ΓL(1,𝔽25)—54no—
414C23×C5—31no—
415C22×D5—21no—
416C5×Q8—21no—
417C5×Q8—32no—
418C5×Q8—64no—
419C5×Q8—61no—
420C5×Q8C2×C4×D312yes—
421C2×C4×C5—21no—
422C2×C4×C5—21no—
423C2×C4×C5—31no—
424C2×C4×C5—32no—
425C2×C4×C5—32no—
426C2×C4×C5—64no—
427C2×C4×C5—61no—
428C2×C4×C5—61no—
429C2×C4×C5C23×D311yescharacteristic
430C22⋊D5—64no—
431C2×Dic5—21no—
432C2×Dic5—31no—
433C2×Dic5—31no—
434C2×Dic5—61no—
435C2×Dic5—62no—
436C2×Dic5—61no—
437C2×Dic5—121no—
438C2×Dic5—122no—
439C2×Dic5D3×D411yescharacteristic
440C2×Dic5D3×D411yescharacteristic
441D20—21no—
442D20C2×C4×D312yes—
443C4×D5—42no—
444C4×D5—64no—
445C4×D5—122no—
446Dic10—32no—
447Dic10—61no—
448C5×C8—21no—
449C5×C8—61no—
450#168—32no—
451#168C2×C4×D312yes—
452C2×#41—151no—
453C22×Q8—31no—
454#137—158no—
455C2×Q16—151no—
456C2×Q16—151no—
457C2×SD16—51no—
458C2×SD16—151no—
459C2×M16—31no—
460C2×M16—151no—
461C4×Q8—51no—
462C4×Q8—151no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—301no—
468C4×Q8—301no—
469C4×D4—51no—
470C4×D4—151no—
471C4×D4—301no—
472C4×D4—301no—
473#117—31no—
474#117—301no—
475C2×C4⋊C4—151no—
476C2×C4⋊C4—301no—
477C2×C42—151no—
478C2×C42—301no—
479C2×C42—301no—
480#107—151no—
481#107—151no—
482#106—51no—
483#106—151no—
484#103—31no—
485#103—31no—
486#103—31no—
487#103—151no—
488#103—151no—
489#103D3×D511yescharacteristic
490#102—51no—
491#102—151no—
492#97—151no—
493#97—151no—
494C4×C8—51no—
495C4×C8—151no—
496C2×C3×C5C2×C4×D411yescharacteristic
497C2×C3×C5C2×#13711yescharacteristic
498C2×C3×C5#57511yescharacteristic
499C3×D5—42no—
500C5×D3—22no—
501C23×C3—101no—
502C22×D3D4×D511yescharacteristic
503C3×Q8—21no—
504C3×Q8C2×C4×D512yes—
505C3×D4—52no—
506C3×D4—101no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—51no—
510C2×C3×C4—51no—
511C2×C3×C4—101no—
512C2×C3×C4—202no—
513C2×C3×C4C23×D511yescharacteristic
514#67—104no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—51no—
518C2×Dic3—51no—
519C2×Dic3—101no—
520C2×Dic3—104no—
521C2×Dic3—101no—
522C2×Dic3—202no—
523C2×Dic3D4×D511yescharacteristic
524C4×D3—24no—
525C4×D3—102no—
526C4×D3—201no—
527C4×D3—202no—
528C4×D3C2×C4×D512yes—
529C4×D3#71112yes—
530Dic6—21no—
531Dic6—24no—
532Dic6—52no—
533Dic6—101no—
534Dic6C2×C4×D512yes—
535C3×C8—21no—
536C3×C8—52no—
537C3⋊C8—21no—
538C3⋊C8—52no—
539C22×C5—32no—
540C22×C5—61no—
541C22×C5—61no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—22no—
544C2×D5—41no—
545C2×D5—41no—
546C4×C5—22no—
547C4×C5—32no—
548C4×C5—41no—
549C4×C5—62no—
550C4×C5—121no—
551C4×C5C22×C4×D311yescharacteristic
552C4×C5D3×#4111yescharacteristic
553Dic5—21no—
554Dic5—41no—
555Dic5—61no—
556Dic5—61no—
557Dic5—62no—
558Dic5—121no—
559Dic5#91512yescomplemented
560#41—154no—
561#41—302no—
562C2×Q8—34no—
563C2×Q8—31no—
564C2×Q8—61no—
565C2×Q8—62no—
566C2×Q8—151no—
567C2×Q8C2×D3×D511yescharacteristic
568C2×D4—51no—
569C2×D4—301no—
570C22×C4—31no—
571C22×C4—61no—
572C22×C4—101no—
573C22×C4—151no—
574C22×C4—151no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—154no—
579Q16—154no—
580SD16—54no—
581SD16—154no—
582M16—62no—
583M16—154no—
584C2×C8—31no—
585C2×C8—51no—
586C2×C8—151no—
587C2×C8C2×D3×D511yescharacteristic
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—101no—
591C4⋊C4—151no—
592C4⋊C4—301no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4C2×D3×D511yescharacteristic
599C22⋊C4—61no—
600C22⋊C4—101no—
601C22⋊C4—301no—
602C42—51no—
603C42—61no—
604C42—101no—
605C42—151no—
606C42—151no—
607C42—151no—
608C42—301no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42—301no—
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3—102no—
615C22×C3—201no—
616C22×C3—201no—
617C22×C3C2×D4×D511yescharacteristic
618C2×D3—21no—
619C2×D3—21no—
620C2×D3#402712yes—
621C3×C4—22no—
622C3×C4—41no—
623C3×C4—52no—
624C3×C4—101no—
625C3×C4—201no—
626C3×C4C22×C4×D511yescharacteristic
627C3×C4C2×#71111yescharacteristic
628Dic3—22no—
629Dic3—41no—
630Dic3—102no—
631Dic3—101no—
632Dic3—101no—
633Dic3—201no—
634Dic3#402712yes—
635C2×C5—62no—
636C2×C5C4×D3×D411yescharacteristic
637C2×C5C2×#91511yescharacteristic
638C2×C5#576811yescharacteristic
639D5—42no—
640C23—31no—
641C23—101no—
642Q8—21no—
643Q8—32no—
644Q8—64no—
645Q8—61no—
646Q8—152no—
647Q8—301no—
648Q8C4×D3×D512yes—
649D4—52no—
650D4—101no—
651D4—304no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—31no—
655C2×C4—32no—
656C2×C4—32no—
657C2×C4—51no—
658C2×C4—51no—
659C2×C4—64no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—101no—
663C2×C4—151no—
664C2×C4—151no—
665C2×C4—202no—
666C2×C4—304no—
667C2×C4—302no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—601no—
671C2×C4—602no—
672C2×C4—602no—
673C2×C4C22×D3×D511yescharacteristic
674C8—21no—
675C8—52no—
676C8—61no—
677C8—152no—
678C2×C3—202no—
679C2×C3C2×#402711yescharacteristic
680C2×C3D5×#13711yescharacteristic
681C2×C3#6611111yescharacteristic
682D3—22no—
683C5C4×#91511yescharacteristic, complemented, Sylow
684C22—32no—
685C22—61no—
686C22—61no—
687C22—102no—
688C22—201no—
689C22—201no—
690C22D3×D4×D511yescharacteristic
691C4—22no—
692C4—32no—
693C4—41no—
694C4—52no—
695C4—62no—
696C4—101no—
697C4—121no—
698C4—201no—
699C4—301no—
700C4—301no—
701C4—302no—
702C4—601no—
703C4C2×C4×D3×D511yescharacteristic
704C4D3×#71111yescharacteristic
705C3#1061067711yescharacteristic, complemented, Sylow
706C2—62no—
707C2—202no—
708C2D3×#402711yescharacteristic
709C2D5×#91511yescharacteristic
710C2#1175410411yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC2×#6765C22
cosocleC2×C3×C4×C5C24
hypercenter#103D3×D5
hypocenterC3×C5C4×#137
LCSG ▷ 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
1. D3×Q8×Dic5C2semidirect
4. #11750890C2semidirect
5. C5×#4802C2semidirect
6. C3×#65077C2semidirect
7. #11749244C2semidirect
8. #11749241C2semidirect
10. #11747834C2semidirect
11. #11747736C2semidirect
12. Dic5×ΓL(1,𝔽25)C2semidirect
13. #11747281C2semidirect
14. #11747261C2semidirect
15. #11747191C2semidirect
27. #91518C4semidirect
76. #65077D3semidirect
80. C5×D3×Q8C2×C4semidirect
97. #6718C2×C4semidirect
110. C3×#688C2×C4semidirect
127. #6663C2×C4semidirect
128. #6655C2×C4semidirect
129. #6650C2×C4semidirect
139. #4802D5semidirect
300. #688C4×D3semidirect
357. C3×Dic5#137semidirect
368. D3×Q8C4×D5semidirect
559. Dic5#915semidirect
613. C3×C5C4×#137semidirect
683. C5C4×#915semidirect
705. C3#10610677semidirect

Maximal subgroups

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

subgroupindex
D3×Q8×Dic52
C2×#915182
#117533982
#117508902
C5×#48022
C3×#650772
#117492442
#117492412
#117481382
#117478342
#117477362
Dic5×ΓL(1,𝔽25)2
#117472812
#117472612
#117471912
#106106773
C4×#9155