Finite Group Databasebeta

← #14416618

Subgroups — #14416618

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Dic3×#713C211yesmaximal, characteristic, complemented
2C2×#91514C211yesmaximal, characteristic
3#11753402C211yesmaximal, characteristic, complemented
4#11750890C211yesmaximal, characteristic, complemented
5C5×#4817C211yesmaximal, characteristic, complemented
6C3×#65093C211yesmaximal, characteristic, complemented
7#11749260C211yesmaximal, characteristic, complemented
8#11749242C211yesmaximal, characteristic, complemented
9#11748135C211yesmaximal, characteristic, complemented
10#11747742C211yesmaximal, characteristic, complemented
11#11747734C211yesmaximal, characteristic, complemented
12D5×#815C211yesmaximal, characteristic, complemented
13#11747432C211yesmaximal, characteristic, complemented
14#11747228C211yesmaximal, characteristic, complemented
15#11747220C211yesmaximal, characteristic, complemented
16#10611503—31nomaximal, Hall
17C2×C3×#713C2211yescharacteristic
18C2×#6772C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21#91776C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C2×C5×#215C2211yescharacteristic
24C5×#893C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26C3×#4038C2211yescharacteristic
27#91514C418yescomplemented
28#91442—21no—
29#91441—21no—
30#91435C2211yescharacteristic
31#91434—21no—
32#91434C2211yescharacteristic
33Dic3×D20—21no—
34Dic3×D20C2211yescharacteristic
35#91398—21no—
36C4×D3×Dic5—21no—
37C4×D5×Dic3—21no—
38C4×D5×Dic3C2211yescharacteristic
39#91358—21no—
40#91358C2211yescharacteristic
41#91340C2211yescharacteristic
42C2×#6657C2211yescharacteristic
43C2×#6652C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91100C2211yescharacteristic
47#91099C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#821C2211yescharacteristic
50C5×#815C2211yescharacteristic
51C5×#807C2211yescharacteristic
52C3×#3967C2211yescharacteristic
53C3×#3953C2211yescharacteristic
54C3×#3941C2211yescharacteristic
55#90990C2211yescharacteristic
56#90986C2211yescharacteristic
57#90975C2211yescharacteristic
58#90967C2211yescharacteristic
59#90954C2211yescharacteristic
60#90953C2211yescharacteristic
61#78819—51nomaximal, Hall
62C2×#4062—31no—
63C4×#713—31no—
64C4×#711—31no—
65C5×#440—31no—
66#65453—31no—
67#65319—31no—
68#65303—31no—
69#65178—31no—
70#65169—31no—
71#65093D311yescharacteristic, complemented
72#65078—31no—
73#65074—31no—
74#65061—31no—
75#64999—31no—
76D5×#97—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C5×D12C2311yescharacteristic
80C2×C4×C5×D3—21no—
81C3×#713—22no—
82C3×#713C2×C414yescomplemented
83C2×C3×D20—21no—
84C2×C3×D20C2311yescharacteristic
85C2×C3×C4×D5—21no—
86C2×C3×C4×D5C2311yescharacteristic
87C2×#1201—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92C2×D5×Dic3D411yescharacteristic
93C2×D5×Dic3D411yescharacteristic
94#6772—22no—
95#6772C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98#6718C2×C414yescomplemented
99C4⋊Dic15—21no—
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102C4×Dic15—21no—
103C4×Dic15—21no—
104C4×Dic15C2311yescharacteristic
105C2×C3⋊#168C2311yescharacteristic
106C5×#215C2×C414yescomplemented
107C5×(C2×D3)⋊C4—21no—
108C5×C4⋊Dic3—21no—
109C5×C4⋊Dic3C2311yescharacteristic
110C4×C5×Dic3—21no—
111C4×C5×Dic3C2311yescharacteristic
112C2×C5×C3⋊C8C2311yescharacteristic
113C3×#685—21no—
114C3×C4⋊Dic5C2311yescharacteristic
115C3×C4×Dic5—21no—
116C2×C3×#168C2311yescharacteristic
117C3×C8×D5—22no—
118#6669—21no—
119(C2×D3)⋊Dic5—21no—
120#6665—21no—
121#6665—21no—
122#6665—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6657C2×C414yescomplemented
128#6652C2×C414yescomplemented
129D5×C3⋊C8C2×C414yescomplemented
130Dic3×#41—51no—
131C2×#950—51no—
132#5522—51no—
133C3×#416—51no—
134#5113—51no—
135C2×#815—51no—
136#4998—51no—
137#4817—51no—
138#4817D511yescharacteristic, complemented
139#4789—51no—
140#4789—51no—
141#4785—51no—
142#4785—51no—
143#4757—51no—
144#4757—51no—
145C2×#713C2×D311yescharacteristic
146C2×#711—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#686—31no—
154C4×C22⋊D5—61no—
155C2×C4×Dic5—61no—
156#4062—38no—
157C2×#677—31no—
158C2×C8×D5—31no—
159C2×C8×D5C2×D311yescharacteristic
160#4039—31no—
161#4039—61no—
162#4038—31no—
163#4038—61no—
164#4038C2×D311yescharacteristic
165#4033—31no—
166#4027—61no—
167#4023—61no—
168C4×D20—31no—
169C4×D20—61no—
170C42×D5—31no—
171C42×D5—61no—
172C4×Dic10—31no—
173C5×#107—31no—
174C5×#103C2×D311yescharacteristic
175C5×#102—31no—
176C5×#97—31no—
177#3967C2×D311yescharacteristic
178#3964—31no—
179#3953C2×D311yescharacteristic
180#3950—31no—
181#3948—31no—
182#3947—31no—
183#3947—31no—
184#3942—31no—
185#3941C2×D311yescharacteristic
186#3940—31no—
187#3940—31no—
188#3935—31no—
189#2943—151noSylow
190C22×C5×D3—21no—
191C22×C3×D5—21no—
192C22×C3×D5C2×D411yescharacteristic
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199C2×Dic15—21no—
200C2×Dic15C2×D411yescharacteristic
201C2×Dic15C2×D411yescharacteristic
202Dic30—21no—
203Dic30C22×C412yes—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C5×D12—21no—
208C5×D12C22×C412yes—
209C4×C5×D3—42no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5C2×D411yescharacteristic
212C3×D20—24no—
213C3×D20—21no—
214C3×D20C22×C412yes—
215C3×C4×D5—24no—
216C3×C4×D5C22×C412yes—
217C3×C4×D5#4112yes—
218#1201—24no—
219D3×Dic5—24no—
220D3×Dic5—42no—
221D5×Dic3—41no—
222D5×Dic3—41no—
223D5×Dic3—42no—
224D5×Dic3—42no—
225C3×C5×C8—21no—
226C3⋊#168C22×C412yes—
227C3×#168—21no—
228C5×C3⋊C8C22×C412yes—
229C2×C3×#41—51no—
230C2×#235—51no—
231C22×C3×C8—51no—
232C3×#117—51no—
233#950—58no—
234Q8×Dic3—51no—
235Q8×Dic3C2×D511yescharacteristic
236C2×#216—51no—
237C2×#215C2×D511yescharacteristic
238D4×Dic3—51no—
239D4×Dic3—51no—
240D4×Dic3—101no—
241D4×Dic3—101no—
242C2×#214—51no—
243C2×#213—51no—
244#926—51no—
245#926—101no—
246C2×C4×Dic3—51no—
247C2×C4×Dic3—101no—
248C22×C3⋊C8—51no—
249#893—51no—
250#893C2×D511yescharacteristic
251#887—51no—
252#887—51no—
253#67⋊C4—101no—
254#67⋊C4—101no—
255#872—101no—
256C42×D3—101no—
257C3×#103—51no—
258C3×#103C2×D511yescharacteristic
259C3×#102—51no—
260C3×#102—51no—
261#821—51no—
262#821C2×D511yescharacteristic
263#816—51no—
264#816—51no—
265#815—51no—
266#815—51no—
267#815—51no—
268#815C2×D511yescharacteristic
269#808—51no—
270#808—51no—
271#807—51no—
272#807C2×D511yescharacteristic
273C2×C5×Q8C22×D311yescharacteristic
274C2×C5×D4—31no—
275C22×C4×C5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279#713—22no—
280#713C4×D314yescomplemented
281#711—34no—
282#711—62no—
283C2×D20—21no—
284C2×D20C22×D311yescharacteristic
285C2×C4×D5—21no—
286C2×C4×D5—31no—
287C2×C4×D5—31no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5C22×D311yescharacteristic
291C2×Dic10—31no—
292C5×SD16—34no—
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C4⋊C4—61no—
297C5×C4⋊C4C22×D311yescharacteristic
298C5×C22⋊C4—61no—
299C42×C5—31no—
300C42×C5—61no—
301C22⋊Dic5—61no—
302#689—34no—
303#686—34no—
304#685—21no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—61no—
312#683—61no—
313C4×Dic5—21no—
314C4×Dic5—31no—
315C4×Dic5—31no—
316C4×Dic5—31no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677—34no—
324C8×D5—22no—
325C8×D5—34no—
326C2×#135—151no—
327C4×#41—151no—
328C4×#41—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333#440—31no—
334#440—151no—
335#440—151no—
336#440—151no—
337#427—151no—
338#416—51no—
339#416—151no—
340C2×#97—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×C5×D3—22no—
343C2×C5×D3—41no—
344C2×C5×D3—41no—
345C2×C3×D5—21no—
346C2×C3×D5—21no—
347C2×C3×D5—22no—
348C2×C3×D5—41no—
349C2×C3×D5—41no—
350C2×C3×D5C4×D412yes—
351C3×C4×C5—22no—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15—21no—
357Dic15—21no—
358Dic15—41no—
359C3×Dic5—41no—
360C3×Dic5C4×D412yes—
361C5×Dic3—21no—
362C5×Dic3—21no—
363C5×Dic3—41no—
364C3×#41—54no—
365C3×#41—102no—
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4—51no—
368C2×C3×D4—101no—
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C2×#67—101no—
372C22×Dic3—51no—
373C22×Dic3—51no—
374C22×Dic3—101no—
375C22×Dic3—101no—
376#235—54no—
377#235—102no—
378C2×D12C22×D511yescharacteristic
379C2×C4×D3—21no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×Dic6—51no—
383C2×C3×C8—51no—
384C2×C3×C8—102no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—101no—
389C3×C42—101no—
390#217—101no—
391#217—101no—
392#217—101no—
393#216—54no—
394#215C4×D514yescomplemented
395#214—54no—
396#213—54no—
397(C2×D3)⋊C4—21no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—21no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3C22×D511yescharacteristic
403Dic3⋊C4—101no—
404Dic3⋊C4—101no—
405C4×Dic3—21no—
406C4×Dic3—51no—
407C4×Dic3—51no—
408C4×Dic3—51no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C4×Dic3C22×D511yescharacteristic
414C2×C3⋊C8—51no—
415C2×C3⋊C8—54no—
416C2×C3⋊C8C22×D511yescharacteristic
417C23×C5—61no—
418C22×D5—21no—
419C22×D5D3×D411yescharacteristic
420C5×Q8—21no—
421C5×Q8C2×C4×D312yes—
422C5×D4—32no—
423C5×D4—61no—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—31no—
427C2×C4×C5—31no—
428C2×C4×C5—61no—
429C2×C4×C5—122no—
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—64no—
432C2×Dic5—21no—
433C2×Dic5—31no—
434C2×Dic5—31no—
435C2×Dic5—61no—
436C2×Dic5—64no—
437C2×Dic5—61no—
438C2×Dic5—122no—
439C2×Dic5D3×D411yescharacteristic
440D20—24no—
441D20—21no—
442D20C2×C4×D312yes—
443C4×D5—24no—
444C4×D5—121no—
445C4×D5—121no—
446C4×D5—122no—
447C4×D5—122no—
448C4×D5C2×C4×D312yes—
449C4×D5#23712yes—
450Dic10—32no—
451Dic10—61no—
452C5×C8—21no—
453C5×C8—32no—
454#168—21no—
455#168—32no—
456C2×#41—51no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—31no—
461C2×SD16—151no—
462C2×D8—151no—
463C22×C8—51no—
464C22×C8—151no—
465C4×Q8—31no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—51no—
478#117—151no—
479#117—301no—
480#117—301no—
481C2×C42—151no—
482C2×C42—301no—
483C2×C42—301no—
484#107—31no—
485#107—151no—
486#106—151no—
487#106—151no—
488#103—51no—
489#103—151no—
490#103—151no—
491#103D3×D511yescharacteristic
492#102—31no—
493#102—51no—
494#102—51no—
495#102—151no—
496#97—31no—
497#97—151no—
498#97—151no—
499#97—151no—
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5#57511yescharacteristic
502C2×C3×C5#57511yescharacteristic
503C3×D5—22no—
504C3×D5—42no—
505C5×D3—42no—
506C23×C3—51no—
507C23×C3—101no—
508C22×D3—21no—
509C3×Q8—21no—
510C3×Q8C2×C4×D512yes—
511C3×D4—52no—
512C3×D4—104no—
513C3×D4—101no—
514C2×C3×C4—21no—
515C2×C3×C4—21no—
516C2×C3×C4—51no—
517C2×C3×C4—52no—
518C2×C3×C4—52no—
519C2×C3×C4—104no—
520C2×C3×C4—101no—
521C2×C3×C4C23×D511yescharacteristic
522#67—104no—
523C2×Dic3—21no—
524C2×Dic3—51no—
525C2×Dic3—51no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528C2×Dic3—201no—
529C2×Dic3—201no—
530C2×Dic3—202no—
531C2×Dic3—202no—
532C2×Dic3D4×D511yescharacteristic
533C2×Dic3D4×D511yescharacteristic
534D12—21no—
535D12C2×C4×D512yes—
536C4×D3—42no—
537C4×D3—104no—
538C4×D3—202no—
539Dic6—52no—
540Dic6—101no—
541C3×C8—21no—
542C3×C8—101no—
543C3⋊C8—52no—
544C3⋊C8C2×C4×D512yes—
545C22×C5—62no—
546C22×C5—121no—
547C22×C5—121no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—21no—
550C2×D5—21no—
551C2×D5—22no—
552C2×D5—41no—
553C2×D5—41no—
554C2×D5#67⋊C412yes—
555C4×C5—22no—
556C4×C5—41no—
557C4×C5—61no—
558C4×C5—61no—
559C4×C5—121no—
560C4×C5C22×C4×D311yescharacteristic
561C4×C5C2×#23711yescharacteristic
562Dic5—41no—
563Dic5—62no—
564Dic5—61no—
565Dic5—61no—
566Dic5—121no—
567Dic5#67⋊C412yes—
568#41—54no—
569#41—102no—
570#41—154no—
571#41—302no—
572C2×Q8—151no—
573C2×Q8C2×D3×D511yescharacteristic
574C2×D4—31no—
575C2×D4—51no—
576C2×D4—101no—
577C2×D4—301no—
578C22×C4—51no—
579C22×C4—61no—
580C22×C4—101no—
581C22×C4—151no—
582C22×C4—151no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—34no—
589SD16—154no—
590D8—154no—
591C2×C8—31no—
592C2×C8—51no—
593C2×C8—102no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—151no—
601C4⋊C4—301no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4C2×D3×D511yescharacteristic
605C22⋊C4—61no—
606C22⋊C4—101no—
607C22⋊C4—301no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—31no—
612C42—61no—
613C42—101no—
614C42—151no—
615C42—151no—
616C42—151no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#294311yescharacteristic, complemented, Hall
622C22×C3—52no—
623C22×C3—101no—
624C22×C3—101no—
625C22×C3—102no—
626C22×C3—201no—
627C22×C3—201no—
628C22×C3C2×D4×D511yescharacteristic
629C2×D3—22no—
630C2×D3—41no—
631C2×D3—41no—
632C3×C4—22no—
633C3×C4—41no—
634C3×C4—52no—
635C3×C4—201no—
636C3×C4C22×C4×D511yescharacteristic
637C3×C4D5×#4111yescharacteristic
638Dic3—21no—
639Dic3—21no—
640Dic3—41no—
641Dic3—101no—
642Dic3—101no—
643Dic3—102no—
644Dic3—201no—
645C2×C5—122no—
646C2×C5C2×#67⋊C411yescharacteristic
647C2×C5#576811yescharacteristic
648C2×C5#576811yescharacteristic
649D5—22no—
650D5—42no—
651C23—51no—
652C23—61no—
653C23—101no—
654Q8—21no—
655Q8—152no—
656Q8—301no—
657Q8C4×D3×D512yes—
658D4—32no—
659D4—52no—
660D4—61no—
661D4—104no—
662D4—101no—
663D4—304no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—51no—
669C2×C4—52no—
670C2×C4—52no—
671C2×C4—61no—
672C2×C4—104no—
673C2×C4—101no—
674C2×C4—122no—
675C2×C4—151no—
676C2×C4—151no—
677C2×C4—304no—
678C2×C4—301no—
679C2×C4—301no—
680C2×C4—601no—
681C2×C4—601no—
682C2×C4—602no—
683C2×C4—602no—
684C2×C4—602no—
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—32no—
688C8—101no—
689C8—152no—
690C2×C3—102no—
691C2×C3—202no—
692C2×C3C4×D4×D511yescharacteristic
693C2×C3#6610711yescharacteristic
694C2×C3#6611111yescharacteristic
695D3—42no—
696C5#7881911yescharacteristic, complemented, Sylow
697C22—52no—
698C22—62no—
699C22—101no—
700C22—101no—
701C22—102no—
702C22—121no—
703C22—121no—
704C22—201no—
705C22—201no—
706C22D3×D4×D511yescharacteristic
707C4—22no—
708C4—41no—
709C4—52no—
710C4—61no—
711C4—61no—
712C4—121no—
713C4—201no—
714C4—301no—
715C4—301no—
716C4—302no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D5×#23711yescharacteristic
720C3#1061150311yescharacteristic, complemented, Sylow
721C2—102no—
722C2—122no—
723C2—202no—
724C2D5×#67⋊C411yescharacteristic
725C2#1175407711yescharacteristic
726C2#1175410411yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC2×#91514C2
cosocleC2×C3×C4×C5C24
hypercenter#103D3×D5
hypocenterC3×C5#2943
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. Dic3×#713C2semidirect
3. #11753402C2semidirect
4. #11750890C2semidirect
5. C5×#4817C2semidirect
6. C3×#65093C2semidirect
7. #11749260C2semidirect
8. #11749242C2semidirect
9. #11748135C2semidirect
10. #11747742C2semidirect
11. #11747734C2semidirect
12. D5×#815C2semidirect
13. #11747432C2semidirect
14. #11747228C2semidirect
15. #11747220C2semidirect
27. #91514C4semidirect
71. #65093D3semidirect
82. C3×#713C2×C4semidirect
95. #6772C2×C4semidirect
98. #6718C2×C4semidirect
106. C5×#215C2×C4semidirect
127. #6657C2×C4semidirect
128. #6652C2×C4semidirect
129. D5×C3⋊C8C2×C4semidirect
138. #4817D5semidirect
280. #713C4×D3semidirect
394. #215C4×D5semidirect
621. C3×C5#2943semidirect
696. C5#78819semidirect
720. C3#10611503semidirect

Maximal subgroups

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

subgroupindex
Dic3×#7132
C2×#915142
#117534022
#117508902
C5×#48172
C3×#650932
#117492602
#117492422
#117481352
#117477422
#117477342
D5×#8152
#117474322
#117472282
#117472202
#106115033
#788195