Finite Group Databasebeta

← #14416621

Subgroups — #14416621

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
1Dic5×#239C211yesmaximal, characteristic, complemented
2C2×#91519C211yesmaximal, characteristic
3#11753408C211yesmaximal, characteristic, complemented
4#11750918C211yesmaximal, characteristic, complemented
5C5×#4804C211yesmaximal, characteristic, complemented
6C3×#65078C211yesmaximal, characteristic, complemented
7#11749264C211yesmaximal, characteristic, complemented
8#11749225C211yesmaximal, characteristic, complemented
9#11747746C211yesmaximal, characteristic, complemented
10#11747738C211yesmaximal, characteristic, complemented
11#11747643C211yesmaximal, characteristic, complemented
12D3×#3947C211yesmaximal, characteristic, complemented
13#11747437C211yesmaximal, characteristic, complemented
14#11747236C211yesmaximal, characteristic, complemented
15#11747217C211yesmaximal, characteristic, complemented
16#10610550—31nomaximal, Hall
17C2×C5×#239C2211yescharacteristic
18C2×#6769C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6717C2211yescharacteristic
21#91782C2211yescharacteristic
22C2×C5×D3×C8C2211yescharacteristic
23C5×#892C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C2×C3×#689C2211yescharacteristic
26C3×#4033C2211yescharacteristic
27#91519C418yescomplemented
28#91435—21no—
29#91435C2211yescharacteristic
30#91418C2211yescharacteristic
31Dic5×D12—21no—
32Dic5×D12C2211yescharacteristic
33#91406—21no—
34#91405—21no—
35#91403—21no—
36C4×#1200—21no—
37C4×D3×Dic5—21no—
38C4×D3×Dic5C2211yescharacteristic
39#91338—21no—
40#91338C2211yescharacteristic
41#91331C2211yescharacteristic
42C2×#6656C2211yescharacteristic
43C2×#6654C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91105C2211yescharacteristic
47#91099C2211yescharacteristic
48#91091C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#821C2211yescharacteristic
51C5×#809C2211yescharacteristic
52C3×#3948C2211yescharacteristic
53C3×#3947C2211yescharacteristic
54C3×#3940C2211yescharacteristic
55#90989C2211yescharacteristic
56#90985C2211yescharacteristic
57#90971C2211yescharacteristic
58#90968C2211yescharacteristic
59#90954C2211yescharacteristic
60#90952C2211yescharacteristic
61#79828—51nomaximal, Hall
62#41×Dic5—31no—
63C2×#4096—31no—
64#65856—31no—
65C5×#416—31no—
66#65402—31no—
67C2×#3947—31no—
68#65287—31no—
69#65106—31no—
70#65106—31no—
71#65078—31no—
72#65078D311yescharacteristic, complemented
73#65074—31no—
74#65074—31no—
75#65046—31no—
76#65046—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C5×#239—22no—
81C5×#239C2×C414yescomplemented
82C2×C5×D12—21no—
83C2×C5×D12C2311yescharacteristic
84C2×C4×C5×D3—21no—
85C2×C4×C5×D3C2311yescharacteristic
86C2×C3×Dic10C2311yescharacteristic
87C2×#1203—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92C2×D3×Dic5D411yescharacteristic
93C2×D3×Dic5D411yescharacteristic
94#6769—22no—
95#6769C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98#6717C2×C414yescomplemented
99#6714—21no—
100C4⋊Dic15—21no—
101C4⋊Dic15C2311yescharacteristic
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×D3×C8—22no—
110C3×#689C2×C414yescomplemented
111C3×C4⋊Dic5—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×C4×Dic5—21no—
115C3×C4×Dic5—21no—
116C3×C4×Dic5C2311yescharacteristic
117C2×C3×#168C2311yescharacteristic
118#6668—21no—
119#6667—21no—
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6656C2×C414yescomplemented
128#6654C2×C414yescomplemented
129D3×#168C2×C414yescomplemented
130C2×#919—51no—
131C4×#239—51no—
132C4×#239—51no—
133C3×#441—51no—
134#5184—51no—
135#5026—51no—
136#5026—51no—
137#4869—51no—
138#4860—51no—
139#4817—51no—
140#4817—51no—
141#4804—51no—
142#4804D511yescharacteristic, complemented
143#4711—51no—
144D3×#97—51no—
145C2×C5×#41—31no—
146C2×#709—31no—
147C22×C5×C8—31no—
148C5×#117—31no—
149#4096—38no—
150Q8×Dic5—31no—
151Q8×Dic5C2×D311yescharacteristic
152C2×#689C2×D311yescharacteristic
153C2×#688—31no—
154D4×Dic5—31no—
155D4×Dic5—31no—
156D4×Dic5—61no—
157D4×Dic5—61no—
158C2×#687—31no—
159C2×#686—31no—
160#4072—31no—
161#4072—61no—
162C2×C4×Dic5—31no—
163C2×C4×Dic5—61no—
164C22×#168—31no—
165#4039—31no—
166#4039—31no—
167#4033—31no—
168#4033C2×D311yescharacteristic
169#4027—61no—
170#4027—61no—
171#4018—61no—
172C42×D5—61no—
173C5×#103—31no—
174C5×#103C2×D311yescharacteristic
175C5×#102—31no—
176C5×#102—31no—
177#3953—31no—
178#3953—31no—
179#3948—31no—
180#3948C2×D311yescharacteristic
181#3947—31no—
182#3947—31no—
183#3947—31no—
184#3947C2×D311yescharacteristic
185#3940—31no—
186#3940C2×D311yescharacteristic
187#3939—31no—
188#3939—31no—
189#2943—151noSylow
190C22×D15—21no—
191C22×C5×D3—21no—
192C22×C5×D3C2×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×Dic15C2×D411yescharacteristic
200C2×Dic15C2×D411yescharacteristic
201D60—21no—
202D60C22×C412yes—
203C4×D15—42no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C5×D12—24no—
207C5×D12—21no—
208C5×D12C22×C412yes—
209C4×C5×D3—24no—
210C4×C5×D3C22×C412yes—
211C4×C5×D3#4112yes—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—21no—
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216C3×Dic10—21no—
217C3×Dic10C22×C412yes—
218#1203—24no—
219#1200—24no—
220#1200—42no—
221D3×Dic5—41no—
222D3×Dic5—41no—
223D3×Dic5—42no—
224D3×Dic5—42no—
225C3×C5×C8—21no—
226C3⋊#168C22×C412yes—
227C3×#168C22×C412yes—
228C5×C3⋊C8—21no—
229C2×#239—51no—
230C2×#239C2×D511yescharacteristic
231C2×C3×Q16—51no—
232C3×C4×Q8—51no—
233C3×C4×Q8—51no—
234Q8×Dic3—51no—
235Q8×Dic3—51no—
236C2×#215—51no—
237C2×#215—51no—
238#919—58no—
239C2×D24—51no—
240C2×D3×C8—51no—
241C2×D3×C8C2×D511yescharacteristic
242#893—51no—
243#893—51no—
244#893—101no—
245#893—101no—
246#892—51no—
247#892—101no—
248#892—101no—
249#892C2×D511yescharacteristic
250C4×D12—51no—
251C4×D12—51no—
252C4×D12—101no—
253C4×D12—101no—
254C42×D3—51no—
255C42×D3—101no—
256C42×D3—101no—
257C3×#106—51no—
258C3×#103—51no—
259C3×#103C2×D511yescharacteristic
260C3×#97—51no—
261#835—51no—
262#835C2×D511yescharacteristic
263#821—51no—
264#821C2×D511yescharacteristic
265#817—51no—
266#815—51no—
267#815—51no—
268#809—51no—
269#809C2×D511yescharacteristic
270#807—51no—
271#807—51no—
272#803—51no—
273C5×#41—34no—
274C5×#41—62no—
275C2×C5×Q8C22×D311yescharacteristic
276C2×C5×D4—31no—
277C2×C5×D4—61no—
278C22×C4×C5—31no—
279C22×C4×C5—61no—
280C2×C22⋊D5—61no—
281C22×Dic5—31no—
282C22×Dic5—31no—
283C22×Dic5—61no—
284C22×Dic5—61no—
285#709—34no—
286#709—62no—
287C2×D20—31no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5—61no—
291C2×Dic10C22×D311yescharacteristic
292C2×C5×C8—31no—
293C2×C5×C8—62no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C22⋊C4—61no—
298C42×C5—61no—
299C22⋊Dic5—61no—
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302#689C4×D314yescomplemented
303#688—34no—
304#687—34no—
305#686—34no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—21no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311C4⋊Dic5C22×D311yescharacteristic
312#683—21no—
313#683—61no—
314C4×Dic5—21no—
315C4×Dic5—21no—
316C4×Dic5—31no—
317C4×Dic5—31no—
318C4×Dic5—31no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5—61no—
322C4×Dic5C22×D311yescharacteristic
323C2×#168—31no—
324C2×#168—34no—
325C2×#168C22×D311yescharacteristic
326C2×#135—151no—
327C4×#41—151no—
328C4×#41—151no—
329#442—151no—
330#442—151no—
331#441—51no—
332#441—151no—
333#440—151no—
334#440—151no—
335#440—151no—
336#440—151no—
337#427—151no—
338#416—31no—
339#416—151no—
340C2×#97—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—21no—
346C2×C5×D3—21no—
347C2×C5×D3—22no—
348C2×C5×D3—41no—
349C2×C5×D3—41no—
350C2×C5×D3C4×D412yes—
351C3×C4×C5—22no—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—21no—
356Dic15—21no—
357Dic15—41no—
358C3×Dic5—22no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C3×Dic5—41no—
362C5×Dic3—41no—
363C5×Dic3C4×D412yes—
364C2×C3×Q8—51no—
365C2×C3×Q8C22×D511yescharacteristic
366#239—22no—
367#239—54no—
368#239—102no—
369#239C4×D514yescomplemented
370C2×D12—21no—
371C2×D12—51no—
372C2×D12—101no—
373C2×D12C22×D511yescharacteristic
374C2×C4×D3—21no—
375C2×C4×D3—51no—
376C2×C4×D3—51no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×C4×D3C22×D511yescharacteristic
383C3×Q16—54no—
384C2×C3×C8—51no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4—101no—
389C3×C4⋊C4C22×D511yescharacteristic
390C3×C42—51no—
391C3×C42—101no—
392C3×C42—101no—
393#215—54no—
394#215—54no—
395(C2×D3)⋊C4—21no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400(C2×D3)⋊C4—101no—
401C4⋊Dic3—51no—
402C4⋊Dic3—101no—
403C4⋊Dic3—101no—
404C4⋊Dic3C22×D511yescharacteristic
405C4×Dic3—21no—
406C4×Dic3—51no—
407C4×Dic3—51no—
408C4×Dic3—51no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8C22×D511yescharacteristic
414D24—54no—
415D3×C8—22no—
416D3×C8—54no—
417C23×C5—31no—
418C23×C5—61no—
419C22×D5—61no—
420C5×Q8—21no—
421C5×Q8C2×C4×D312yes—
422C5×D4—32no—
423C5×D4—64no—
424C5×D4—61no—
425C2×C4×C5—21no—
426C2×C4×C5—21no—
427C2×C4×C5—31no—
428C2×C4×C5—32no—
429C2×C4×C5—32no—
430C2×C4×C5—64no—
431C2×C4×C5—61no—
432C2×C4×C5C23×D311yescharacteristic
433C22⋊D5—64no—
434C2×Dic5—21no—
435C2×Dic5—21no—
436C2×Dic5—31no—
437C2×Dic5—31no—
438C2×Dic5—61no—
439C2×Dic5—121no—
440C2×Dic5—121no—
441C2×Dic5—122no—
442C2×Dic5—122no—
443C2×Dic5D3×D411yescharacteristic
444C2×Dic5D3×D411yescharacteristic
445D20—32no—
446D20—61no—
447C4×D5—64no—
448C4×D5—122no—
449C4×D5—122no—
450Dic10—21no—
451Dic10C2×C4×D312yes—
452C5×C8—21no—
453C5×C8—61no—
454#168—32no—
455#168C2×C4×D312yes—
456C2×#41—31no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—51no—
460C2×SD16—151no—
461C2×SD16—151no—
462C2×D8—151no—
463C22×C8—31no—
464C22×C8—151no—
465C4×Q8—51no—
466C4×Q8—51no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—151no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—31no—
478#117—151no—
479#117—301no—
480#117—301no—
481C2×C42—151no—
482C2×C42—301no—
483C2×C42—301no—
484#107—151no—
485#107—151no—
486#106—51no—
487#106—151no—
488#103—31no—
489#103—51no—
490#103—151no—
491#103D3×D511yescharacteristic
492#102—31no—
493#102—31no—
494#102—151no—
495#102—151no—
496#97—51no—
497#97—151no—
498#97—151no—
499#97—151no—
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5#57511yescharacteristic
502C2×C3×C5#57511yescharacteristic
503D15—42no—
504C5×D3—22no—
505C5×D3—42no—
506C22×D3—21no—
507C22×D3—101no—
508C22×D3D4×D511yescharacteristic
509C3×Q8—21no—
510C3×Q8—52no—
511C3×Q8—101no—
512C3×Q8C2×C4×D512yes—
513C2×C3×C4—21no—
514C2×C3×C4—21no—
515C2×C3×C4—51no—
516C2×C3×C4—51no—
517C2×C3×C4—101no—
518C2×C3×C4—101no—
519C2×C3×C4C23×D511yescharacteristic
520C2×Dic3—21no—
521C2×Dic3—51no—
522C2×Dic3—51no—
523C2×Dic3—101no—
524C2×Dic3D4×D511yescharacteristic
525D12—24no—
526D12—21no—
527D12—52no—
528D12—104no—
529D12—101no—
530D12C2×C4×D512yes—
531C4×D3—24no—
532C4×D3—104no—
533C4×D3—202no—
534C4×D3—202no—
535C4×D3—201no—
536C4×D3—201no—
537C4×D3—202no—
538C4×D3—202no—
539C4×D3C2×C4×D512yes—
540C4×D3#71112yes—
541C3×C8—21no—
542C3×C8—52no—
543C3⋊C8—21no—
544C3⋊C8—52no—
545C22×C5—32no—
546C22×C5—61no—
547C22×C5—61no—
548C22×C5—62no—
549C22×C5—121no—
550C22×C5—121no—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—62no—
553C2×D5—121no—
554C2×D5—121no—
555C4×C5—22no—
556C4×C5—32no—
557C4×C5—41no—
558C4×C5—121no—
559C4×C5C22×C4×D311yescharacteristic
560C4×C5D3×#4111yescharacteristic
561Dic5—21no—
562Dic5—21no—
563Dic5—22no—
564Dic5—41no—
565Dic5—61no—
566Dic5—61no—
567Dic5—121no—
568#41—34no—
569#41—62no—
570#41—154no—
571#41—302no—
572C2×Q8—51no—
573C2×Q8C2×D3×D511yescharacteristic
574C2×D4—31no—
575C2×D4—61no—
576C2×D4—151no—
577C2×D4—301no—
578C22×C4—31no—
579C22×C4—61no—
580C22×C4—151no—
581C22×C4—151no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—54no—
588SD16—154no—
589SD16—154no—
590D8—154no—
591C2×C8—31no—
592C2×C8—51no—
593C2×C8—62no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—101no—
600C4⋊C4—101no—
601C4⋊C4—151no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4C2×D3×D511yescharacteristic
605C22⋊C4—61no—
606C22⋊C4—301no—
607C22⋊C4—301no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—51no—
612C42—61no—
613C42—101no—
614C42—101no—
615C42—151no—
616C42—151no—
617C42—151no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#294311yescharacteristic, complemented, Hall
622C22×C3C2×D4×D511yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—22no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—102no—
629C2×D3—201no—
630C2×D3—201no—
631C2×D3#402712yes—
632C3×C4—22no—
633C3×C4—41no—
634C3×C4—102no—
635C3×C4—101no—
636C3×C4—101no—
637C3×C4—201no—
638C3×C4C22×C4×D511yescharacteristic
639C3×C4C2×#71111yescharacteristic
640Dic3—41no—
641Dic3—101no—
642Dic3—101no—
643Dic3—201no—
644Dic3#402712yes—
645C2×C5—62no—
646C2×C5—122no—
647C2×C5C4×D3×D411yescharacteristic
648C2×C5#577711yescharacteristic
649C2×C5#577711yescharacteristic
650D5—122no—
651C23—31no—
652C23—61no—
653C23—301no—
654Q8—21no—
655Q8—52no—
656Q8—101no—
657Q8C4×D3×D512yes—
658D4—32no—
659D4—64no—
660D4—61no—
661D4—152no—
662D4—304no—
663D4—301no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—31no—
667C2×C4—32no—
668C2×C4—32no—
669C2×C4—51no—
670C2×C4—51no—
671C2×C4—64no—
672C2×C4—61no—
673C2×C4—101no—
674C2×C4—101no—
675C2×C4—151no—
676C2×C4—151no—
677C2×C4—304no—
678C2×C4—301no—
679C2×C4—602no—
680C2×C4—602no—
681C2×C4—601no—
682C2×C4—601no—
683C2×C4—602no—
684C2×C4—602no—
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—52no—
688C8—61no—
689C8—152no—
690C2×C3C2×#402711yescharacteristic
691C2×C3#6610211yescharacteristic
692C2×C3#6610211yescharacteristic
693D3—22no—
694D3—42no—
695D3—202no—
696C5#7982811yescharacteristic, complemented, Sylow
697C22—32no—
698C22—61no—
699C22—61no—
700C22—62no—
701C22—121no—
702C22—121no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22D3×D4×D511yescharacteristic
707C4—22no—
708C4—32no—
709C4—41no—
710C4—101no—
711C4—101no—
712C4—102no—
713C4—121no—
714C4—201no—
715C4—301no—
716C4—301no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D3×#71111yescharacteristic
720C3#1061055011yescharacteristic, complemented, Sylow
721C2—62no—
722C2—122no—
723C2—602no—
724C2D3×#402711yescharacteristic
725C2#1175407511yescharacteristic
726C2#1175410211yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC2×#91519C2
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. Dic5×#239C2semidirect
3. #11753408C2semidirect
4. #11750918C2semidirect
5. C5×#4804C2semidirect
6. C3×#65078C2semidirect
7. #11749264C2semidirect
8. #11749225C2semidirect
9. #11747746C2semidirect
10. #11747738C2semidirect
11. #11747643C2semidirect
12. D3×#3947C2semidirect
13. #11747437C2semidirect
14. #11747236C2semidirect
15. #11747217C2semidirect
27. #91519C4semidirect
72. #65078D3semidirect
81. C5×#239C2×C4semidirect
95. #6769C2×C4semidirect
98. #6717C2×C4semidirect
110. C3×#689C2×C4semidirect
127. #6656C2×C4semidirect
128. #6654C2×C4semidirect
129. D3×#168C2×C4semidirect
142. #4804D5semidirect
302. #689C4×D3semidirect
369. #239C4×D5semidirect
621. C3×C5#2943semidirect
696. C5#79828semidirect
720. C3#10610550semidirect

Maximal subgroups

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

subgroupindex
Dic5×#2392
C2×#915192
#117534082
#117509182
C5×#48042
C3×#650782
#117492642
#117492252
#117477462
#117477382
#117476432
D3×#39472
#117474372
#117472362
#117472172
#106105503
#798285