Finite Group Databasebeta

← #14417221

Subgroups — #14417221

Order 1920.

940 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#5572C211yesmaximal, characteristic, complemented
2C2×#91520C211yesmaximal, characteristic
3#11752527C211yesmaximal, characteristic
4C4×#6717C211yesmaximal, characteristic, complemented
5C3×#65319C211yesmaximal, characteristic, complemented
6Dic3×#689C211yesmaximal, characteristic, complemented
7#11749235C211yesmaximal, characteristic, complemented
8D3×#3967C211yesmaximal, characteristic, complemented
9#11747504C211yesmaximal, characteristic
10#11747267C211yesmaximal, characteristic, complemented
11#11747232C211yesmaximal, characteristic, complemented
12#11747191C211yesmaximal, characteristic, complemented
13C4×#6661C211yesmaximal, characteristic, complemented
14#11747058C211yesmaximal, characteristic, complemented
15#11746979C211yesmaximal, characteristic, complemented
16#10614278—31nomaximal, Hall
17C2×C5×D3×Q8C2211yescharacteristic
18C2×#6769C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic
20C2×#6717C2211yescharacteristic
21C4×D60C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C5×#892—21no—
24C5×#892C2211yescharacteristic
25C5×#887—21no—
26C5×#887C2211yescharacteristic
27C5×#872—21no—
28C5×#872C2211yescharacteristic
29C4×C5×Dic6—21no—
30C4×C5×Dic6C2211yescharacteristic
31C2×C3×#689C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91520C418yescomplemented
34#91428C2211yescharacteristic
35D3×C4⋊Dic5C2211yescharacteristic
36#91406—21no—
37#91405—21no—
38#91404—21no—
39#91402—21no—
40Dic3×Dic10C2211yescharacteristic
41C2×#6661C2211yescharacteristic
42C2×#6660C2211yescharacteristic
43C2×#6650C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45#91119C2211yescharacteristic
46#91093C2211yescharacteristic
47#91092C2211yescharacteristic
48C4×C3⋊#168C2211yescharacteristic
49C3×#3967C2211yescharacteristic
50C3×#3942C2211yescharacteristic
51C3×#3940C2211yescharacteristic
52C3×#3935C2211yescharacteristic
53#90989C2211yescharacteristic
54#90988C2211yescharacteristic
55#90973C2211yescharacteristic
56#90972C2211yescharacteristic
57#90970C2211yescharacteristic
58#90969C2211yescharacteristic
59#90953C2211yescharacteristic
60Dic3×#168C2211yescharacteristic
61#79830—51nomaximal, Hall
62C5×#519—31no—
63C2×#4088—31no—
64#65857—31no—
65C2×#3967—31no—
66#65319—31no—
67#65319D311yescharacteristic, complemented
68C4×#689—31no—
69C4×#689—31no—
70#65315—31no—
71#65315—31no—
72C4×#688—31no—
73C4×#688—31no—
74#65291—31no—
75#65286—31no—
76#65284—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C5×D3×Q8—22no—
81C5×D3×Q8C2×C414yescomplemented
82C2×C4×C5×D3—21no—
83C2×C4×C5×D3C2311yescharacteristic
84C2×C5×Dic6—21no—
85C2×C5×Dic6C2311yescharacteristic
86C2×C3×Dic10C2311yescharacteristic
87C2×#1203—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×D3×Dic5—21no—
91#6769—22no—
92#6769C2×C414yes—
93C3×C5×C4⋊C4—21no—
94C3×C5×C4⋊C4C2311yescharacteristic
95C3×C42×C5—21no—
96C3×C42×C5C2311yescharacteristic
97#6717C2×C414yescomplemented
98#6714—21no—
99C4⋊Dic15C2311yescharacteristic
100C2×C3⋊#168C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C5×(C2×D3)⋊C4—21no—
103C5×(C2×D3)⋊C4D411yescharacteristic
104C5×(C2×D3)⋊C4D411yescharacteristic
105C5×C4⋊Dic3—21no—
106C5×C4⋊Dic3C2311yescharacteristic
107C5×Dic3⋊C4—21no—
108C5×Dic3⋊C4—21no—
109C5×Dic3⋊C4D411yescharacteristic
110C5×Dic3⋊C4D411yescharacteristic
111C4×C5×Dic3—21no—
112C4×C5×Dic3—21no—
113C4×C5×Dic3—21no—
114C4×C5×Dic3—21no—
115C4×C5×Dic3C2311yescharacteristic
116C3×#689C2×C414yescomplemented
117C3×C4⋊Dic5C2311yescharacteristic
118C3×#683—21no—
119C3×C4×Dic5—21no—
120C2×C3×#168C2311yescharacteristic
121C2×C3×#168C2311yescharacteristic
122Dic3⋊Dic5—21no—
123#6668—21no—
124#6667—21no—
125Dic3×Dic5—21no—
126#6661C2×C414yescomplemented
127#6660C2×C414yescomplemented
128#6650C2×C414yescomplemented
129D3×#168—22no—
130C2×#918—51no—
131#5574—51no—
132#5572D511yescharacteristic, complemented
133C3×#441—51no—
134Dic3×Q16—51no—
135C4×#216—51no—
136C4×#215—51no—
137#4861—51no—
138#4852—51no—
139#4817—51no—
140#4804—51no—
141D3×#103—51no—
142#4789—51no—
143#4710—51no—
144#4708—51no—
145C22×C5×Q8—31no—
146C2×#709—31no—
147C4×C5×Q8—31no—
148C4×C5×Q8—31no—
149C4×C5×Q8—31no—
150C4×C5×Q8—61no—
151C4×C5×Q8—61no—
152C4×C5×Q8C2×D311yescharacteristic
153C5×#117—31no—
154C5×#117—31no—
155C5×#117—61no—
156C5×#117—61no—
157C2×#689—31no—
158C2×#689C2×D311yescharacteristic
159#4088—38no—
160C2×#688—31no—
161C2×#688—31no—
162C2×C4⋊Dic5—31no—
163C2×#681—31no—
164C22×#168—31no—
165#4038—61no—
166D5×C4⋊C4—61no—
167#4027—61no—
168#4027—61no—
169C4×D20—31no—
170C4×D20—31no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173#3967—31no—
174#3967—31no—
175#3967—31no—
176#3967C2×D311yescharacteristic
177#3942—31no—
178#3942C2×D311yescharacteristic
179#3941—31no—
180#3941—31no—
181#3940—31no—
182#3940C2×D311yescharacteristic
183#3939—31no—
184#3939—31no—
185#3935—31no—
186#3935C2×D311yescharacteristic
187C4×#168—31no—
188C4×#168—31no—
189#2947—151noSylow
190C22×D15—21no—
191C22×C5×D3C2×D411yescharacteristic
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200D60—21no—
201D60C22×C412yes—
202C4×D15—81no—
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C2×C5×Dic3C2×D411yescharacteristic
208C4×C5×D3—24no—
209C4×C5×D3C22×C412yes—
210C4×C5×D3#4112yes—
211C5×Dic6—21no—
212C5×Dic6—24no—
213C5×Dic6C22×C412yes—
214C2×C3×Dic5—21no—
215C2×C3×Dic5—21no—
216C3×Dic10—21no—
217C3×Dic10C22×C412yes—
218#1203—24no—
219#1200—24no—
220#1200—81no—
221D3×Dic5—81no—
222C3⋊#168—21no—
223C3⋊#168C22×C412yes—
224C3×#168—21no—
225C3×#168C22×C412yes—
226C2×#239—51no—
227C2×D3×Q8C2×D511yescharacteristic
228C2×C3×Q16—51no—
229C3×C4×Q8—51no—
230C3×C4×Q8C2×D511yescharacteristic
231Q8×Dic3—51no—
232Q8×Dic3C2×D511yescharacteristic
233C2×#216—51no—
234C2×#215—51no—
235#918—58no—
236C2×#204—51no—
237C2×ΓL(1,𝔽25)—51no—
238C2×D3×C8—51no—
239#893—51no—
240#893—101no—
241#892—21no—
242#892C2×D511yescharacteristic
243D3×C4⋊C4—51no—
244D3×C4⋊C4—101no—
245#887—21no—
246#887C2×D511yescharacteristic
247C4×D12—51no—
248C4×D12—101no—
249#872—21no—
250#872—101no—
251#872C2×D511yescharacteristic
252C4×Dic6—21no—
253C4×Dic6C2×D511yescharacteristic
254C3×#106—51no—
255C3×#103—51no—
256C3×#103—51no—
257C3×#97—51no—
258#835—51no—
259#835—51no—
260#821—51no—
261#818—51no—
262#816—51no—
263#815—51no—
264C8×Dic3—51no—
265#810—51no—
266#809—51no—
267#808—51no—
268#807—51no—
269C4×C3⋊C8—51no—
270C2×C5×Q8—34no—
271C2×C5×Q8—31no—
272C2×C5×Q8—61no—
273C2×C5×Q8—62no—
274C2×C5×Q8C22×D311yescharacteristic
275C22×C4×C5—31no—
276C22×C4×C5—61no—
277C2×C22⋊D5—61no—
278C22×Dic5—61no—
279#709—34no—
280#709—62no—
281C2×D20—31no—
282C2×C4×D5—61no—
283C2×C4×D5—61no—
284C2×C4×D5—61no—
285C2×Dic10C22×D311yescharacteristic
286C5×C4⋊C4—21no—
287C5×C4⋊C4—31no—
288C5×C4⋊C4—31no—
289C5×C4⋊C4—31no—
290C5×C4⋊C4—61no—
291C5×C4⋊C4—61no—
292C5×C4⋊C4—61no—
293C5×C4⋊C4C22×D311yescharacteristic
294C5×C22⋊C4—31no—
295C5×C22⋊C4—31no—
296C5×C22⋊C4—61no—
297C42×C5—21no—
298C42×C5—31no—
299C42×C5—61no—
300C42×C5—61no—
301C42×C5—61no—
302C42×C5—61no—
303C42×C5C22×D311yescharacteristic
304#689—34no—
305#689C4×D314yescomplemented
306#688—34no—
307#688—34no—
308#685—61no—
309#685—61no—
310C4⋊Dic5—31no—
311C4⋊Dic5—61no—
312C4⋊Dic5C22×D311yescharacteristic
313#683—21no—
314#683—61no—
315C4×Dic5—21no—
316C4×Dic5—61no—
317#681—34no—
318C2×#168—31no—
319C2×#168—31no—
320C2×#168—62no—
321C2×#168C22×D311yescharacteristic
322C2×#168C22×D311yescharacteristic
323C2×#137—151no—
324#520—151no—
325#519—31no—
326#441—51no—
327#441—151no—
328#440—151no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—151no—
333C4×SD16—151no—
334#428—151no—
335#416—151no—
336C2×#103—151no—
337#405—151no—
338C22×C3×C5C22×D411yescharacteristic
339C2×D15—22no—
340C2×D15—41no—
341C2×D15—41no—
342C2×C5×D3—21no—
343C2×C5×D3—21no—
344C2×C5×D3C4×D412yes—
345C3×C4×C5—22no—
346C3×C4×C5—21no—
347C3×C4×C5—21no—
348C3×C4×C5—41no—
349C3×C4×C5C23×C411yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351Dic15—41no—
352C3×Dic5—22no—
353C3×Dic5—41no—
354C5×Dic3—22no—
355C5×Dic3—21no—
356C5×Dic3—21no—
357C5×Dic3—41no—
358C5×Dic3C4×D412yes—
359C2×C3×Q8—51no—
360C2×C3×Q8C22×D511yescharacteristic
361#239—54no—
362#239—102no—
363D3×Q8—22no—
364D3×Q8C4×D514yescomplemented
365C2×D12—51no—
366C2×D12—101no—
367C2×C4×D3—21no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3C22×D511yescharacteristic
373C2×Dic6—21no—
374C2×Dic6C22×D511yescharacteristic
375C3×Q16—54no—
376C2×C3×C8—51no—
377C2×C3×C8—51no—
378C3×C4⋊C4—21no—
379C3×C4⋊C4—51no—
380C3×C4⋊C4—101no—
381C3×C4⋊C4C22×D511yescharacteristic
382C3×C42—21no—
383C3×C42—101no—
384C3×C42C22×D511yescharacteristic
385#216—54no—
386#215—54no—
387(C2×D3)⋊C4—21no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4C22⋊D511yescharacteristic
391(C2×D3)⋊C4C22⋊D511yescharacteristic
392C4⋊Dic3—21no—
393C4⋊Dic3—51no—
394C4⋊Dic3—101no—
395C4⋊Dic3C22×D511yescharacteristic
396Dic3⋊C4—21no—
397Dic3⋊C4—21no—
398Dic3⋊C4—101no—
399Dic3⋊C4C22⋊D511yescharacteristic
400Dic3⋊C4C22⋊D511yescharacteristic
401C4×Dic3—21no—
402C4×Dic3—21no—
403C4×Dic3—21no—
404C4×Dic3—21no—
405C4×Dic3—101no—
406C4×Dic3C22×D511yescharacteristic
407C2×C3⋊C8—51no—
408C2×C3⋊C8—51no—
409#204—54no—
410ΓL(1,𝔽25)—54no—
411D3×C8—102no—
412C23×C5—31no—
413C22×D5—61no—
414C5×Q8—21no—
415C5×Q8—32no—
416C5×Q8—64no—
417C5×Q8—61no—
418C5×Q8C2×C4×D312yes—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—31no—
422C2×C4×C5—32no—
423C2×C4×C5—32no—
424C2×C4×C5—31no—
425C2×C4×C5—31no—
426C2×C4×C5—64no—
427C2×C4×C5—61no—
428C2×C4×C5—61no—
429C2×C4×C5D3×D411yescharacteristic
430C2×C4×C5D3×D411yescharacteristic
431C2×C4×C5C23×D311yescharacteristic
432C22⋊D5—64no—
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—61no—
436C2×Dic5—241no—
437D20—32no—
438D20—61no—
439C4×D5—64no—
440C4×D5—241no—
441C4×D5—241no—
442Dic10—21no—
443Dic10C2×C4×D312yes—
444#168—21no—
445#168—32no—
446#168—61no—
447#168C2×C4×D312yes—
448C2×#41—151no—
449C22×Q8—31no—
450#137—158no—
451C2×Q16—51no—
452C2×Q16—151no—
453C2×SD16—151no—
454C2×SD16—151no—
455C2×M16—151no—
456C22×C8—151no—
457C4×Q8—31no—
458C4×Q8—31no—
459C4×Q8—31no—
460C4×Q8—51no—
461C4×Q8—61no—
462C4×Q8—61no—
463C4×Q8—151no—
464C4×Q8D3×D511yescharacteristic
465C4×D4—151no—
466C4×D4—151no—
467C4×D4—301no—
468C4×D4—301no—
469#117—31no—
470#117—31no—
471#117—61no—
472#117—61no—
473#117—301no—
474C2×C4⋊C4—151no—
475C2×C4⋊C4—301no—
476#107—151no—
477#107—151no—
478#106—51no—
479#106—151no—
480#103—51no—
481#103—51no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#102—151no—
487#102—151no—
488#97—51no—
489#97—151no—
490C4×C8—151no—
491C4×C8—151no—
492C2×C3×C5C2×C4×D411yescharacteristic
493C2×C3×C5#57711yescharacteristic
494C2×C3×C5#57811yescharacteristic
495D15—42no—
496C5×D3—22no—
497C22×D3—101no—
498C22×D3C2×C22⋊D511yescharacteristic
499C3×Q8—21no—
500C3×Q8—52no—
501C3×Q8—101no—
502C3×Q8C2×C4×D512yes—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—101no—
506C2×C3×C4—101no—
507C2×C3×C4C2×C22⋊D511yescharacteristic
508C2×C3×C4C2×C22⋊D511yescharacteristic
509C2×C3×C4C23×D511yescharacteristic
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—101no—
513C2×Dic3C2×C22⋊D511yescharacteristic
514C2×Dic3C2×C22⋊D511yescharacteristic
515C2×Dic3C2×C22⋊D511yescharacteristic
516D12—52no—
517D12—104no—
518D12—101no—
519C4×D3—24no—
520C4×D3—104no—
521C4×D3—401no—
522C4×D3—401no—
523C4×D3—401no—
524C4×D3C2×C4×D512yes—
525C4×D3#70912yes—
526Dic6—21no—
527Dic6—24no—
528Dic6C2×C4×D512yes—
529C3×C8—52no—
530C3×C8—101no—
531C3⋊C8—52no—
532C3⋊C8—101no—
533C22×C5—32no—
534C22×C5—61no—
535C22×C5—61no—
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—62no—
538C2×D5—121no—
539C2×D5—121no—
540C4×C5—21no—
541C4×C5—21no—
542C4×C5—22no—
543C4×C5—32no—
544C4×C5—41no—
545C4×C5—61no—
546C4×C5—61no—
547C4×C5—62no—
548C4×C5—121no—
549C4×C5C22×C4×D311yescharacteristic
550C4×C5D3×#4111yescharacteristic
551Dic5—22no—
552Dic5—41no—
553Dic5—121no—
554#41—154no—
555#41—302no—
556C2×Q8—34no—
557C2×Q8—31no—
558C2×Q8—51no—
559C2×Q8—61no—
560C2×Q8—62no—
561C2×Q8C2×D3×D511yescharacteristic
562C2×D4—151no—
563C2×D4—301no—
564C22×C4—31no—
565C22×C4—61no—
566C22×C4—301no—
567C22×C4—301no—
568C22×C4—301no—
569C22×C4—301no—
570Q16—54no—
571Q16—154no—
572SD16—154no—
573SD16—154no—
574M16—154no—
575C2×C8—51no—
576C2×C8—51no—
577C2×C8—151no—
578C2×C8—151no—
579C2×C8—302no—
580C4⋊C4—21no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—51no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—101no—
589C4⋊C4—151no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C22⋊C4—31no—
594C22⋊C4—31no—
595C22⋊C4—61no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C42—21no—
599C42—31no—
600C42—61no—
601C42—61no—
602C42—61no—
603C42—61no—
604C42—101no—
605C42—301no—
606C42C2×D3×D511yescharacteristic
607C3×C5#294711yescharacteristic, complemented, Hall
608C22×C3C22×C22⋊D511yescharacteristic
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—102no—
612C2×D3—201no—
613C2×D3—201no—
614C2×D3C4×C22⋊D512yes—
615C3×C4—22no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—41no—
619C3×C4—102no—
620C3×C4—201no—
621C3×C4C22×C4×D511yescharacteristic
622C3×C4C2×#70911yescharacteristic
623Dic3—22no—
624Dic3—21no—
625Dic3—21no—
626Dic3—41no—
627Dic3—201no—
628Dic3C4×C22⋊D512yes—
629C2×C5—62no—
630C2×C5C4×D3×D411yescharacteristic
631C2×C5#577811yescharacteristic
632C2×C5#577911yescharacteristic
633D5—122no—
634C23—31no—
635C23—301no—
636Q8—21no—
637Q8—32no—
638Q8—52no—
639Q8—64no—
640Q8—61no—
641Q8—101no—
642Q8C4×D3×D512yes—
643D4—152no—
644D4—304no—
645D4—301no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—31no—
649C2×C4—32no—
650C2×C4—32no—
651C2×C4—31no—
652C2×C4—31no—
653C2×C4—64no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—101no—
657C2×C4—101no—
658C2×C4—304no—
659C2×C4—301no—
660C2×C4—1201no—
661C2×C4—1201no—
662C2×C4—1201no—
663C2×C4D3×C22⋊D511yescharacteristic
664C2×C4D3×C22⋊D511yescharacteristic
665C2×C4C22×D3×D511yescharacteristic
666C8—52no—
667C8—101no—
668C8—152no—
669C8—301no—
670C2×C3C2×C4×C22⋊D511yescharacteristic
671C2×C3#6617111yescharacteristic
672C2×C3#6617211yescharacteristic
673D3—22no—
674D3—202no—
675C5#7983011yescharacteristic, complemented, Sylow
676C22—32no—
677C22—61no—
678C22—61no—
679C22—302no—
680C22—601no—
681C22—601no—
682C22C2×D3×C22⋊D511yescharacteristic
683C4—21no—
684C4—21no—
685C4—22no—
686C4—32no—
687C4—41no—
688C4—61no—
689C4—61no—
690C4—62no—
691C4—102no—
692C4—121no—
693C4—201no—
694C4—601no—
695C4C2×C4×D3×D511yescharacteristic
696C4D3×#70911yescharacteristic
697C3#1061427811yescharacteristic, complemented, Sylow
698C2—62no—
699C2—602no—
700C2C4×D3×C22⋊D511yescharacteristic
701C2#1175509211yescharacteristic
702C2#1175534111yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalC2×#6769C22
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5#2947
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C5×#5572C2semidirect
4. C4×#6717C2semidirect
5. C3×#65319C2semidirect
6. Dic3×#689C2semidirect
7. #11749235C2semidirect
8. D3×#3967C2semidirect
10. #11747267C2semidirect
11. #11747232C2semidirect
12. #11747191C2semidirect
13. C4×#6661C2semidirect
14. #11747058C2semidirect
15. #11746979C2semidirect
33. #91520C4semidirect
67. #65319D3semidirect
81. C5×D3×Q8C2×C4semidirect
97. #6717C2×C4semidirect
116. C3×#689C2×C4semidirect
126. #6661C2×C4semidirect
127. #6660C2×C4semidirect
128. #6650C2×C4semidirect
132. #5572D5semidirect
305. #689C4×D3semidirect
364. D3×Q8C4×D5semidirect
607. C3×C5#2947semidirect
675. C5#79830semidirect
697. C3#10614278semidirect

Maximal subgroups

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

subgroupindex
C5×#55722
C2×#915202
#117525272
C4×#67172
C3×#653192
Dic3×#6892
#117492352
D3×#39672
#117475042
#117472672
#117472322
#117471912
C4×#66612
#117470582
#117469792
#106142783
#798305