Finite Group Databasebeta

← #14416939

Subgroups — #14416939

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
1Dic5×#237C211yesmaximal, characteristic
2C2×#91486C211yesmaximal, characteristic
3D3×#4033C211yesmaximal, characteristic, complemented
4#11750859C211yesmaximal, characteristic, complemented
5C5×#4771C211yesmaximal, characteristic
6C3×#65046C211yesmaximal, characteristic, complemented
7#11749017C211yesmaximal, characteristic, complemented
8#11749004C211yesmaximal, characteristic, complemented
9#11748123C211yesmaximal, characteristic, complemented
10#11747835C211yesmaximal, characteristic, complemented
11#11747828C211yesmaximal, characteristic, complemented
12#11747602C211yesmaximal, characteristic, complemented
13#11747454C211yesmaximal, characteristic, complemented
14#11747278C211yesmaximal, characteristic, complemented
15#11747262C211yesmaximal, characteristic, complemented
16#10610598—31nomaximal, Hall
17C2×C5×#237C2211yescharacteristic
18C2×D3×Dic10C2211yescharacteristic
19D4×Dic15C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21#91776C2211yescharacteristic
22C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C3×D4×Dic5C2211yescharacteristic
25C2×C3×#687C2211yescharacteristic
26C3×#4033C2211yescharacteristic
27#67⋊Dic5—21no—
28Dic5×#67—21no—
29#91529—21no—
30C2×Dic3×Dic5—21no—
31#91486C418yescomplemented
32D3×#683—21no—
33C4×D3×Dic5—21no—
34C4×D3×Dic5C2211yescharacteristic
35#91344C2211yescharacteristic
36#91338C2211yescharacteristic
37#91333C2211yescharacteristic
38Dic5×Dic6C2211yescharacteristic
39#91331C2211yescharacteristic
40#91325—21no—
41#91323—21no—
42C2×#6663C2211yescharacteristic
43C2×#6661C2211yescharacteristic
44C2×#6650C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91100C2211yescharacteristic
47C8×Dic15C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#832C2211yescharacteristic
50C5×#816C2211yescharacteristic
51C5×#810C2211yescharacteristic
52C3×#3948C2211yescharacteristic
53C3×#3947C2211yescharacteristic
54C3×#3939C2211yescharacteristic
55#90989C2211yescharacteristic
56#90985C2211yescharacteristic
57#90974C2211yescharacteristic
58#90971C2211yescharacteristic
59#90952C2211yescharacteristic
60#90951C2211yescharacteristic
61#79774—51nomaximal, Hall
62#41×Dic5—31no—
63C2×#4097—31no—
64C2×#4033—31no—
65C5×#417—31no—
66#65409—31no—
67M16×Dic5—31no—
68#65253—31no—
69#65079—31no—
70#65079—31no—
71#65078—31no—
72#65078—31no—
73#65047—31no—
74#65047—31no—
75#65046—31no—
76#65046D311yescharacteristic, complemented
77C2×C3×C5×D4C2311yescharacteristic
78C22×Dic15—21no—
79C2×Dic30C2311yescharacteristic
80C2×C5×#67—21no—
81C22×C5×Dic3—21no—
82C5×#237—22no—
83C5×#237C2×C414yes—
84C2×C4×C5×D3—21no—
85C2×C4×C5×D3C2311yescharacteristic
86C2×C5×Dic6C2311yescharacteristic
87C22×C3×Dic5—21no—
88C2×C3×Dic10C2311yescharacteristic
89C2×#1204—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5D411yescharacteristic
92C2×D3×Dic5D411yescharacteristic
93D3×Dic10—22no—
94D3×Dic10C2×C414yescomplemented
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6719—21no—
98#6716C2×C414yescomplemented
99C4⋊Dic15C2311yescharacteristic
100#6712—21no—
101C4×Dic15—21no—
102C4×Dic15C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C5×ΓL(1,𝔽25)—22no—
108C3×C22⋊Dic5—21no—
109C3×#687C2×C414yescomplemented
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×C4×Dic5—21no—
113C3×C4×Dic5C2311yescharacteristic
114C2×C3×#168C2311yescharacteristic
115Dic3⋊Dic5—21no—
116Dic3⋊Dic5—21no—
117#6669—21no—
118#6668—21no—
119(C2×D3)⋊Dic5—21no—
120Dic3×Dic5—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6663C2×C414yescomplemented
128#6661C2×C414yescomplemented
129#6650C2×C414yescomplemented
130C2×#915—51no—
131C4×D3×Q8—51no—
132C4×#237—51no—
133C3×#440—51no—
134Dic3×SD16—51no—
135#5030—51no—
136#5018—51no—
137#4881—51no—
138#4873—51no—
139#4802—51no—
140#4790—51no—
141#4771D511yescharacteristic
142#4758—51no—
143#4716—51no—
144#4707—51no—
145C2×C5×#41—31no—
146C22×Dic10—31no—
147C2×C5×M16—31no—
148C2×C5×C4⋊C4—31no—
149#4097—38no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152C2×#689—31no—
153C2×#689—31no—
154D4×Dic5—31no—
155D4×Dic5—61no—
156D4×Dic5—61no—
157D4×Dic5C2×D311yescharacteristic
158C2×#687—31no—
159C2×#687C2×D311yescharacteristic
160#4072—31no—
161#4072—61no—
162C2×#683—61no—
163C2×C4×Dic5—31no—
164C2×C4×Dic5—61no—
165C2×C4×Dic5—61no—
166C2×#681—31no—
167#4033—31no—
168#4033—31no—
169#4033—31no—
170#4033—61no—
171#4033—61no—
172#4033C2×D311yescharacteristic
173C5×#103—31no—
174C5×#103—31no—
175C5×#102—31no—
176C5×#102C2×D311yescharacteristic
177#3948—31no—
178#3948—31no—
179#3948—31no—
180#3948C2×D311yescharacteristic
181#3947—31no—
182#3947C2×D311yescharacteristic
183C8×Dic5—31no—
184C8×Dic5—31no—
185#3940—31no—
186#3940—31no—
187#3939—31no—
188#3939C2×D311yescharacteristic
189C4×#137—151noSylow
190C23×C3×C5—21no—
191C22×C5×D3C2×D411yescharacteristic
192C3×C5×D4—21no—
193C3×C5×D4C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5C2411yescharacteristic
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15—42no—
199C2×Dic15C2×D411yescharacteristic
200C2×Dic15C2×D411yescharacteristic
201Dic30—21no—
202Dic30C22×C412yes—
203C5×#67—24no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—24no—
206C2×C5×Dic3—21no—
207C2×C5×Dic3C2×D411yescharacteristic
208C4×C5×D3—42no—
209C4×C5×D3C22×C412yes—
210C4×C5×D3#4112yes—
211C5×Dic6—21no—
212C5×Dic6C22×C412yes—
213C2×C3×Dic5—21no—
214C2×C3×Dic5—21no—
215C2×C3×Dic5—42no—
216C2×C3×Dic5C2×D411yescharacteristic
217C2×C3×Dic5C2×D411yescharacteristic
218C3×Dic10—21no—
219C3×Dic10C22×C412yes—
220#1204—24no—
221D3×Dic5—24no—
222D3×Dic5—22no—
223D3×Dic5—41no—
224C3×C5×C8—21no—
225C3⋊#168C22×C412yes—
226C3×#168C22×C412yes—
227C5×C3⋊C8—21no—
228C2×D3×Q8—51no—
229C2×#237C2×D511yescharacteristic
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#892—51no—
244D3×C4⋊C4—101no—
245D3×C4⋊C4C2×D511yescharacteristic
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×#107—51no—
257C3×#103—51no—
258C3×#102C2×D511yescharacteristic
259C3×#97—51no—
260#835—51no—
261#832C2×D511yescharacteristic
262#817—51no—
263#816—51no—
264#816C2×D511yescharacteristic
265C8×Dic3—51no—
266C8×Dic3—51no—
267#810—51no—
268#810C2×D511yescharacteristic
269#808—51no—
270#807—51no—
271#803—51no—
272C5×#41—34no—
273C5×#41—62no—
274C2×C5×Q8—31no—
275C2×C5×D4—61no—
276C2×C5×D4C22×D311yescharacteristic
277C22×C4×C5—31no—
278C22×C4×C5—61no—
279C22×C4×C5—61no—
280C22×Dic5—21no—
281C22×Dic5—31no—
282C22×Dic5—31no—
283C22×Dic5—61no—
284C22×Dic5—61no—
285C2×Dic10—31no—
286C2×Dic10—34no—
287C2×Dic10—62no—
288C2×Dic10—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×M16—62no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C22⋊Dic5—21no—
297C22⋊Dic5—61no—
298C22⋊Dic5—61no—
299#689—34no—
300#689—34no—
301#687—34no—
302#687C4×D314yescomplemented
303C4⋊Dic5—31no—
304C4⋊Dic5—61no—
305C4⋊Dic5—61no—
306C4⋊Dic5C22×D311yescharacteristic
307#683—21no—
308#683—61no—
309#683—61no—
310#683—61no—
311C4×Dic5—21no—
312C4×Dic5—31no—
313C4×Dic5—31no—
314C4×Dic5—31no—
315C4×Dic5—61no—
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—51no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—151no—
335C4×SD16—151no—
336#428—151no—
337#419—151no—
338#417—31no—
339C4×M16—151no—
340C22×C3×C5—22no—
341C22×C3×C5—41no—
342C22×C3×C5—41no—
343C22×C3×C5C22×D411yescharacteristic
344C2×C5×D3—21no—
345C2×C5×D3—21no—
346C2×C5×D3C4×D412yes—
347C3×C4×C5—41no—
348C3×C4×C5C23×C411yescharacteristic
349C3×C4×C5C2×#4111yescharacteristic
350Dic15—22no—
351Dic15—21no—
352Dic15—41no—
353Dic15#13712yescomplemented
354C3×Dic5—22no—
355C3×Dic5—21no—
356C3×Dic5—21no—
357C3×Dic5—41no—
358C5×Dic3—22no—
359C5×Dic3—41no—
360C5×Dic3C4×D412yes—
361C2×C3×Q8—51no—
362C2×C3×D4C22×D511yescharacteristic
363C22×C3×C4—101no—
364C2×#67—21no—
365C22×Dic3—21no—
366C22×Dic3—101no—
367D3×Q8—54no—
368D3×Q8—102no—
369#237—22no—
370#237C4×D514yes—
371C2×C4×D3—21no—
372C2×C4×D3—51no—
373C2×C4×D3—51no—
374C2×C4×D3—101no—
375C2×C4×D3C22×D511yescharacteristic
376C2×Dic6—51no—
377C2×Dic6—101no—
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—101no—
392C4⋊Dic3—51no—
393C4⋊Dic3—101no—
394C4⋊Dic3C22×D511yescharacteristic
395Dic3⋊C4—21no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—51no—
401C4×Dic3—51no—
402C4×Dic3—51no—
403C4×Dic3—101no—
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—21no—
415C23×C5—31no—
416C5×Q8—32no—
417C5×Q8—61no—
418C5×D4—21no—
419C5×D4—64no—
420C5×D4C2×C4×D312yes—
421C2×C4×C5—21no—
422C2×C4×C5—31no—
423C2×C4×C5—32no—
424C2×C4×C5—32no—
425C2×C4×C5—64no—
426C2×C4×C5—61no—
427C2×C4×C5—61no—
428C2×C4×C5—122no—
429C2×C4×C5C23×D311yescharacteristic
430C2×Dic5—21no—
431C2×Dic5—21no—
432C2×Dic5—31no—
433C2×Dic5—31no—
434C2×Dic5—42no—
435C2×Dic5—62no—
436C2×Dic5—64no—
437C2×Dic5—61no—
438C2×Dic5—61no—
439C2×Dic5—121no—
440C2×Dic5—122no—
441C2×Dic5D3×D411yescharacteristic
442C2×Dic5D3×D411yescharacteristic
443Dic10—21no—
444Dic10—32no—
445Dic10—64no—
446Dic10—61no—
447Dic10C2×C4×D312yes—
448C5×C8—21no—
449C5×C8—61no—
450#168—32no—
451#168C2×C4×D312yes—
452C2×#41—31no—
453C22×Q8—151no—
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—151no—
474#117—301no—
475C2×C4⋊C4—31no—
476C2×C4⋊C4—301no—
477C2×C42—151no—
478C2×C42—301no—
479C2×C42—301no—
480#107—51no—
481#107—151no—
482#106—151no—
483#106—151no—
484#103—31no—
485#103—31no—
486#103—51no—
487#103—151no—
488#103—151no—
489#103—151no—
490#102—31no—
491#102D3×D511yescharacteristic
492#97—51no—
493#97—151no—
494C4×C8—151no—
495C4×C8—151no—
496C2×C3×C5—42no—
497C2×C3×C5C2×C4×D411yescharacteristic
498C2×C3×C5C2×#13711yescharacteristic
499C2×C3×C5#57511yescharacteristic
500C5×D3—22no—
501C23×C3—21no—
502C22×D3D4×D511yescharacteristic
503C3×Q8—52no—
504C3×Q8—101no—
505C3×D4—21no—
506C3×D4C2×C4×D512yes—
507C2×C3×C4—21no—
508C2×C3×C4—51no—
509C2×C3×C4—51no—
510C2×C3×C4—101no—
511C2×C3×C4—101no—
512C2×C3×C4—202no—
513C2×C3×C4C23×D511yescharacteristic
514#67—24no—
515C2×Dic3—21no—
516C2×Dic3—24no—
517C2×Dic3—21no—
518C2×Dic3—51no—
519C2×Dic3—51no—
520C2×Dic3—101no—
521C2×Dic3—101no—
522C2×Dic3—202no—
523C2×Dic3D4×D511yescharacteristic
524C4×D3—42no—
525C4×D3—102no—
526C4×D3—104no—
527C4×D3—201no—
528C4×D3C2×C4×D512yes—
529C4×D3#71112yes—
530Dic6—21no—
531Dic6—52no—
532Dic6—101no—
533Dic6—104no—
534Dic6C2×C4×D512yes—
535C3×C8—21no—
536C3×C8—52no—
537C3⋊C8—21no—
538C3⋊C8—52no—
539C22×C5—22no—
540C22×C5—32no—
541C22×C5—41no—
542C22×C5—41no—
543C22×C5—61no—
544C22×C5—61no—
545C22×C5C2×D3×D411yescharacteristic
546C4×C5—32no—
547C4×C5—41no—
548C4×C5—62no—
549C4×C5—121no—
550C4×C5C22×C4×D311yescharacteristic
551C4×C5D3×#4111yescharacteristic
552Dic5—21no—
553Dic5—21no—
554Dic5—22no—
555Dic5—32no—
556Dic5—41no—
557Dic5—61no—
558Dic5—62no—
559Dic5—121no—
560#41—34no—
561#41—62no—
562C2×Q8—31no—
563C2×Q8—51no—
564C2×Q8—154no—
565C2×Q8—151no—
566C2×Q8—301no—
567C2×Q8—302no—
568C2×D4—61no—
569C2×D4C2×D3×D511yescharacteristic
570C22×C4—31no—
571C22×C4—61no—
572C22×C4—61no—
573C22×C4—101no—
574C22×C4—151no—
575C22×C4—151no—
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—61no—
591C4⋊C4—101no—
592C4⋊C4—151no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4C2×D3×D511yescharacteristic
599C22⋊C4—101no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—51no—
603C42—101no—
604C42—151no—
605C42—151no—
606C42—151no—
607C42—301no—
608C42—301no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42—301no—
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3—22no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3C2×D4×D511yescharacteristic
618C2×D3—21no—
619C2×D3—21no—
620C2×D3#402712yes—
621C3×C4—41no—
622C3×C4—102no—
623C3×C4—101no—
624C3×C4—101no—
625C3×C4—201no—
626C3×C4C22×C4×D511yescharacteristic
627C3×C4C2×#71111yescharacteristic
628Dic3—22no—
629Dic3—41no—
630Dic3—52no—
631Dic3—102no—
632Dic3—101no—
633Dic3—201no—
634Dic3#402712yes—
635C2×C5—42no—
636C2×C5—62no—
637C2×C5C4×D3×D411yescharacteristic
638C2×C5#577311yescharacteristic
639C2×C5D3×#13711yescharacteristic
640C23—21no—
641C23—31no—
642Q8—32no—
643Q8—52no—
644Q8—61no—
645Q8—101no—
646Q8—152no—
647Q8—304no—
648Q8—301no—
649D4—21no—
650D4—64no—
651D4C4×D3×D512yes—
652C2×C4—21no—
653C2×C4—31no—
654C2×C4—32no—
655C2×C4—32no—
656C2×C4—51no—
657C2×C4—51no—
658C2×C4—64no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—101no—
662C2×C4—101no—
663C2×C4—122no—
664C2×C4—151no—
665C2×C4—151no—
666C2×C4—202no—
667C2×C4—302no—
668C2×C4—304no—
669C2×C4—301no—
670C2×C4—301no—
671C2×C4—601no—
672C2×C4—602no—
673C2×C4C22×D3×D511yescharacteristic
674C8—21no—
675C8—52no—
676C8—61no—
677C8—152no—
678C2×C3—42no—
679C2×C3C2×#402711yescharacteristic
680C2×C3#6610711yescharacteristic
681C2×C3D5×#13711yescharacteristic
682D3—22no—
683C5#7977411yescharacteristic, complemented, Sylow
684C22—22no—
685C22—32no—
686C22—41no—
687C22—41no—
688C22—61no—
689C22—61no—
690C22D3×D4×D511yescharacteristic
691C4—32no—
692C4—41no—
693C4—62no—
694C4—101no—
695C4—101no—
696C4—102no—
697C4—121no—
698C4—152no—
699C4—201no—
700C4—301no—
701C4—302no—
702C4—601no—
703C4C2×C4×D3×D511yescharacteristic
704C4D3×#71111yescharacteristic
705C3#1061059811yescharacteristic, complemented, Sylow
706C2—42no—
707C2—62no—
708C2D3×#402711yescharacteristic
709C2#1175404911yescharacteristic
710C2#1175407011yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×C5×#237C22
cosocleC2×C3×C4×C5C24
hypercenter#102D3×D5
hypocenterC3×C5C4×#137
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
3. D3×#4033C2semidirect
4. #11750859C2semidirect
6. C3×#65046C2semidirect
7. #11749017C2semidirect
8. #11749004C2semidirect
9. #11748123C2semidirect
10. #11747835C2semidirect
11. #11747828C2semidirect
12. #11747602C2semidirect
13. #11747454C2semidirect
14. #11747278C2semidirect
15. #11747262C2semidirect
31. #91486C4semidirect
76. #65046D3semidirect
94. D3×Dic10C2×C4semidirect
98. #6716C2×C4semidirect
109. C3×#687C2×C4semidirect
127. #6663C2×C4semidirect
128. #6661C2×C4semidirect
129. #6650C2×C4semidirect
302. #687C4×D3semidirect
353. Dic15#137semidirect
613. C3×C5C4×#137semidirect
683. C5#79774semidirect
705. C3#10610598semidirect

Maximal subgroups

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

subgroupindex
Dic5×#2372
C2×#914862
D3×#40332
#117508592
C5×#47712
C3×#650462
#117490172
#117490042
#117481232
#117478352
#117478282
#117476022
#117474542
#117472782
#117472622
#106105983
#797745