Finite Group Databasebeta

← #14416941

Subgroups — #14416941

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
1Dic3×#711C211yesmaximal, characteristic
2C2×#91484C211yesmaximal, characteristic
3D5×#887C211yesmaximal, characteristic, complemented
4#11750859C211yesmaximal, characteristic, complemented
5C5×#4757C211yesmaximal, characteristic, complemented
6C3×#65060C211yesmaximal, characteristic
7#11749019C211yesmaximal, characteristic, complemented
8#11749014C211yesmaximal, characteristic, complemented
9#11748122C211yesmaximal, characteristic, complemented
10#11747832C211yesmaximal, characteristic, complemented
11#11747828C211yesmaximal, characteristic, complemented
12#11747601C211yesmaximal, characteristic, complemented
13#11747452C211yesmaximal, characteristic, complemented
14#11747271C211yesmaximal, characteristic, complemented
15#11747267C211yesmaximal, characteristic, complemented
16#10611505—31nomaximal, Hall
17C2×C3×#711C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19D4×Dic15C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21#91776C2211yescharacteristic
22C5×D4×Dic3C2211yescharacteristic
23C2×C5×#214C2211yescharacteristic
24C5×#887C2211yescharacteristic
25C2×C3×#676C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27#91559—21no—
28Dic3×C22⋊D5—21no—
29#91528—21no—
30C2×Dic3×Dic5—21no—
31#91484C418yescomplemented
32D5×Dic3⋊C4—21no—
33C4×D5×Dic3—21no—
34C4×D5×Dic3C2211yescharacteristic
35#91358C2211yescharacteristic
36#91344C2211yescharacteristic
37#91340C2211yescharacteristic
38#91331C2211yescharacteristic
39Dic3×Dic10C2211yescharacteristic
40#91325—21no—
41#91324—21no—
42C2×#6662C2211yescharacteristic
43C2×#6661C2211yescharacteristic
44C2×#6649C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91100C2211yescharacteristic
47C8×Dic15C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#816C2211yescharacteristic
50C5×#815C2211yescharacteristic
51C5×#807C2211yescharacteristic
52C3×#3964C2211yescharacteristic
53C3×#3948C2211yescharacteristic
54C3×#3942C2211yescharacteristic
55#90989C2211yescharacteristic
56#90987C2211yescharacteristic
57#90975C2211yescharacteristic
58#90973C2211yescharacteristic
59#90953C2211yescharacteristic
60#90951C2211yescharacteristic
61#78867—51nomaximal, Hall
62C2×#4061—31no—
63C4×Q8×D5—31no—
64C4×#711—31no—
65C5×#440—31no—
66SD16×Dic5—31no—
67#65319—31no—
68#65307—31no—
69#65170—31no—
70#65162—31no—
71#65091—31no—
72#65079—31no—
73#65060D311yescharacteristic
74#65047—31no—
75#65005—31no—
76#64996—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×Dic15—21no—
79C2×Dic30C2311yescharacteristic
80C22×C5×Dic3—21no—
81C2×C5×Dic6C2311yescharacteristic
82C2×C3×C22⋊D5—21no—
83C22×C3×Dic5—21no—
84C3×#711—22no—
85C3×#711C2×C414yes—
86C2×C3×C4×D5—21no—
87C2×C3×C4×D5C2311yescharacteristic
88C2×C3×Dic10C2311yescharacteristic
89C2×#1204—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3D411yescharacteristic
92C2×D5×Dic3D411yescharacteristic
93D5×Dic6—22no—
94D5×Dic6C2×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×#217—21no—
105C5×#214C2×C414yescomplemented
106C5×C4⋊Dic3C2311yescharacteristic
107C5×Dic3⋊C4—21no—
108C4×C5×Dic3—21no—
109C4×C5×Dic3C2311yescharacteristic
110C2×C5×C3⋊C8C2311yescharacteristic
111C3×C4⋊Dic5C2311yescharacteristic
112C3×#683—21no—
113C2×C3×#168C2311yescharacteristic
114C3×#676—22no—
115Dic3⋊Dic5—21no—
116#6669—21no—
117#6668—21no—
118#6668—21no—
119#6665—21no—
120Dic3×Dic5—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6662C2×C414yescomplemented
128#6661C2×C414yescomplemented
129#6649C2×C414yescomplemented
130Dic3×#41—51no—
131C2×#951—51no—
132C2×#887—51no—
133C3×#417—51no—
134#5120—51no—
135Dic3×M16—51no—
136#4964—51no—
137#4790—51no—
138#4790—51no—
139#4789—51no—
140#4789—51no—
141#4758—51no—
142#4758—51no—
143#4757—51no—
144#4757D511yescharacteristic, complemented
145C2×Q8×D5—31no—
146C2×#711C2×D311yescharacteristic
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#687—31no—
154C4×C22⋊D5—61no—
155C2×C4×Dic5—61no—
156#4061—38no—
157C2×Dic20—31no—
158C2×#676—31no—
159C2×#676C2×D311yescharacteristic
160#4038—31no—
161D5×C4⋊C4—61no—
162D5×C4⋊C4C2×D311yescharacteristic
163#4033—31no—
164#4033—31no—
165#4033—61no—
166#4027—61no—
167#4023—61no—
168C42×D5—31no—
169C42×D5—61no—
170C4×Dic10—31no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#107—31no—
174C5×#103—31no—
175C5×#102C2×D311yescharacteristic
176C5×#97—31no—
177#3967—31no—
178#3964C2×D311yescharacteristic
179#3949—31no—
180#3948—31no—
181#3948C2×D311yescharacteristic
182C8×Dic5—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3942C2×D311yescharacteristic
186#3940—31no—
187#3939—31no—
188#3935—31no—
189C4×#137—151noSylow
190C23×C3×C5—21no—
191C22×C3×D5C2×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—
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—42no—
206C2×C5×Dic3C2×D411yescharacteristic
207C2×C5×Dic3C2×D411yescharacteristic
208C5×Dic6—21no—
209C5×Dic6C22×C412yes—
210C3×C22⋊D5—24no—
211C2×C3×Dic5—21no—
212C2×C3×Dic5—24no—
213C2×C3×Dic5—21no—
214C2×C3×Dic5C2×D411yescharacteristic
215C3×C4×D5—42no—
216C3×C4×D5C22×C412yes—
217C3×C4×D5#4112yes—
218C3×Dic10—21no—
219C3×Dic10C22×C412yes—
220#1204—24no—
221D5×Dic3—24no—
222D5×Dic3—22no—
223D5×Dic3—41no—
224C3×C5×C8—21no—
225C3⋊#168C22×C412yes—
226C3×#168—21no—
227C5×C3⋊C8C22×C412yes—
228C2×C3×#41—51no—
229C22×Dic6—51no—
230C2×C3×M16—51no—
231C2×C3×C4⋊C4—51no—
232#951—58no—
233Q8×Dic3—51no—
234Q8×Dic3—51no—
235C2×#216—51no—
236C2×#216—51no—
237D4×Dic3—51no—
238D4×Dic3—101no—
239D4×Dic3—101no—
240D4×Dic3C2×D511yescharacteristic
241C2×#214—51no—
242C2×#214C2×D511yescharacteristic
243#926—51no—
244#926—101no—
245C2×Dic3⋊C4—101no—
246C2×C4×Dic3—51no—
247C2×C4×Dic3—101no—
248C2×C4×Dic3—101no—
249C2×#208—51no—
250#887—51no—
251#887—51no—
252#887—51no—
253#887—101no—
254#887—101no—
255#887C2×D511yescharacteristic
256C3×#103—51no—
257C3×#103—51no—
258C3×#102—51no—
259C3×#102C2×D511yescharacteristic
260#816—51no—
261#816—51no—
262#816—51no—
263#816C2×D511yescharacteristic
264#815—51no—
265#815C2×D511yescharacteristic
266C8×Dic3—51no—
267C8×Dic3—51no—
268#808—51no—
269#808—51no—
270#807—51no—
271#807C2×D511yescharacteristic
272C2×C5×Q8—31no—
273C2×C5×D4C22×D311yescharacteristic
274C22×C4×C5—61no—
275C2×C22⋊D5—21no—
276C22×Dic5—21no—
277C22×Dic5—61no—
278Q8×D5—34no—
279Q8×D5—62no—
280#711—22no—
281#711C4×D314yes—
282C2×C4×D5—21no—
283C2×C4×D5—31no—
284C2×C4×D5—31no—
285C2×C4×D5—61no—
286C2×C4×D5C22×D311yescharacteristic
287C2×Dic10—31no—
288C2×Dic10—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×SD16—34no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—61no—
299C22⋊Dic5—61no—
300#689—34no—
301#687—34no—
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5—61no—
305C4⋊Dic5C22×D311yescharacteristic
306#683—21no—
307#683—61no—
308#683—61no—
309#683—61no—
310#683—61no—
311C4×Dic5—31no—
312C4×Dic5—31no—
313C4×Dic5—31no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C2×#168—31no—
321C2×#168C22×D311yescharacteristic
322Dic20—34no—
323#676—22no—
324#676—34no—
325C2×#137—151no—
326C4×#41—151no—
327C2×C4×Q8—151no—
328#441—151no—
329#441—151no—
330#440—31no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—151no—
335C4×SD16—151no—
336#428—151no—
337#419—151no—
338#417—51no—
339C4×M16—151no—
340C22×C3×C5—22no—
341C22×C3×C5—41no—
342C22×C3×C5—41no—
343C22×C3×C5C22×D411yescharacteristic
344C2×C3×D5—21no—
345C2×C3×D5—21no—
346C2×C3×D5C4×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—41no—
356C3×Dic5C4×D412yes—
357C5×Dic3—22no—
358C5×Dic3—21no—
359C5×Dic3—21no—
360C5×Dic3—41no—
361C3×#41—54no—
362C3×#41—102no—
363C2×C3×Q8—51no—
364C2×C3×D4—101no—
365C2×C3×D4C22×D511yescharacteristic
366C22×C3×C4—51no—
367C22×C3×C4—101no—
368C22×C3×C4—101no—
369C22×Dic3—21no—
370C22×Dic3—51no—
371C22×Dic3—51no—
372C22×Dic3—101no—
373C22×Dic3—101no—
374C2×Dic6—51no—
375C2×Dic6—54no—
376C2×Dic6—102no—
377C2×Dic6—101no—
378C2×Dic6C22×D511yescharacteristic
379C3×M16—102no—
380C2×C3×C8—51no—
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4—101no—
384C3×C4⋊C4C22×D511yescharacteristic
385#217—21no—
386#217—101no—
387#217—101no—
388#216—54no—
389#216—54no—
390#214—54no—
391#214C4×D514yescomplemented
392C4⋊Dic3—51no—
393C4⋊Dic3—101no—
394C4⋊Dic3—101no—
395C4⋊Dic3C22×D511yescharacteristic
396Dic3⋊C4—21no—
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—
409C4×Dic3—101no—
410C4×Dic3C22×D511yescharacteristic
411#208—54no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8C22×D511yescharacteristic
414C23×C5—21no—
415C22×D5D3×D411yescharacteristic
416C5×Q8—32no—
417C5×Q8—61no—
418C5×D4—21no—
419C5×D4C2×C4×D312yes—
420C2×C4×C5—21no—
421C2×C4×C5—31no—
422C2×C4×C5—31no—
423C2×C4×C5—61no—
424C2×C4×C5—61no—
425C2×C4×C5—122no—
426C2×C4×C5C23×D311yescharacteristic
427C22⋊D5—24no—
428C2×Dic5—21no—
429C2×Dic5—24no—
430C2×Dic5—21no—
431C2×Dic5—31no—
432C2×Dic5—31no—
433C2×Dic5—61no—
434C2×Dic5—61no—
435C2×Dic5—122no—
436C2×Dic5D3×D411yescharacteristic
437C4×D5—42no—
438C4×D5—62no—
439C4×D5—64no—
440C4×D5—121no—
441C4×D5C2×C4×D312yes—
442C4×D5#23712yes—
443Dic10—21no—
444Dic10—32no—
445Dic10—61no—
446Dic10—64no—
447Dic10C2×C4×D312yes—
448C5×C8—21no—
449C5×C8—32no—
450#168—21no—
451#168—32no—
452C2×#41—51no—
453C22×Q8—151no—
454#137—158no—
455C2×Q16—151no—
456C2×Q16—151no—
457C2×SD16—31no—
458C2×SD16—151no—
459C2×M16—51no—
460C2×M16—151no—
461C4×Q8—31no—
462C4×Q8—151no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—301no—
468C4×Q8—301no—
469C4×D4—31no—
470C4×D4—151no—
471C4×D4—301no—
472C4×D4—301no—
473#117—151no—
474#117—301no—
475C2×C4⋊C4—51no—
476C2×C4⋊C4—301no—
477C2×C42—151no—
478C2×C42—301no—
479C2×C42—301no—
480#107—31no—
481#107—151no—
482#106—151no—
483#106—151no—
484#103—31no—
485#103—51no—
486#103—51no—
487#103—151no—
488#103—151no—
489#103—151no—
490#102—51no—
491#102D3×D511yescharacteristic
492#97—31no—
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
500C3×D5—22no—
501C23×C3—21no—
502C23×C3—51no—
503C3×Q8—52no—
504C3×Q8—101no—
505C3×D4—21no—
506C3×D4—104no—
507C3×D4C2×C4×D512yes—
508C2×C3×C4—21no—
509C2×C3×C4—51no—
510C2×C3×C4—52no—
511C2×C3×C4—52no—
512C2×C3×C4—104no—
513C2×C3×C4—101no—
514C2×C3×C4—101no—
515C2×C3×C4—202no—
516C2×C3×C4C23×D511yescharacteristic
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—42no—
520C2×Dic3—51no—
521C2×Dic3—51no—
522C2×Dic3—102no—
523C2×Dic3—104no—
524C2×Dic3—101no—
525C2×Dic3—101no—
526C2×Dic3—201no—
527C2×Dic3—202no—
528C2×Dic3D4×D511yescharacteristic
529C2×Dic3D4×D511yescharacteristic
530Dic6—21no—
531Dic6—52no—
532Dic6—104no—
533Dic6—101no—
534Dic6C2×C4×D512yes—
535C3×C8—21no—
536C3×C8—101no—
537C3⋊C8—52no—
538C3⋊C8C2×C4×D512yes—
539C22×C5—22no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—21no—
544C2×D5—21no—
545C2×D5#67⋊C412yes—
546C4×C5—41no—
547C4×C5—62no—
548C4×C5—61no—
549C4×C5—61no—
550C4×C5—121no—
551C4×C5C22×C4×D311yescharacteristic
552C4×C5C2×#23711yescharacteristic
553Dic5—22no—
554Dic5—32no—
555Dic5—41no—
556Dic5—62no—
557Dic5—61no—
558Dic5—121no—
559Dic5#67⋊C412yes—
560#41—54no—
561#41—102no—
562C2×Q8—31no—
563C2×Q8—51no—
564C2×Q8—154no—
565C2×Q8—151no—
566C2×Q8—301no—
567C2×Q8—302no—
568C2×D4—101no—
569C2×D4C2×D3×D511yescharacteristic
570C22×C4—51no—
571C22×C4—61no—
572C22×C4—101no—
573C22×C4—101no—
574C22×C4—151no—
575C22×C4—151no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—154no—
579Q16—154no—
580SD16—34no—
581SD16—154no—
582M16—102no—
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—61no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—31no—
603C42—61no—
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×C3—52no—
618C22×C3—101no—
619C22×C3—101no—
620C22×C3C2×D4×D511yescharacteristic
621C3×C4—41no—
622C3×C4—52no—
623C3×C4—102no—
624C3×C4—201no—
625C3×C4C22×C4×D511yescharacteristic
626C3×C4D5×#4111yescharacteristic
627Dic3—21no—
628Dic3—21no—
629Dic3—22no—
630Dic3—41no—
631Dic3—52no—
632Dic3—101no—
633Dic3—102no—
634Dic3—201no—
635C2×C5—42no—
636C2×C5C2×#67⋊C411yescharacteristic
637C2×C5#577311yescharacteristic
638C2×C5D3×#13711yescharacteristic
639D5—22no—
640C23—21no—
641C23—51no—
642Q8—32no—
643Q8—52no—
644Q8—61no—
645Q8—101no—
646Q8—152no—
647Q8—304no—
648Q8—301no—
649D4—21no—
650D4—104no—
651D4C4×D3×D512yes—
652C2×C4—21no—
653C2×C4—31no—
654C2×C4—31no—
655C2×C4—51no—
656C2×C4—52no—
657C2×C4—52no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—104no—
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—32no—
676C8—101no—
677C8—152no—
678C2×C3—42no—
679C2×C3—102no—
680C2×C3C4×D4×D511yescharacteristic
681C2×C3#6610711yescharacteristic
682C2×C3D5×#13711yescharacteristic
683C5#7886711yescharacteristic, complemented, Sylow
684C22—22no—
685C22—41no—
686C22—41no—
687C22—52no—
688C22—101no—
689C22—101no—
690C22D3×D4×D511yescharacteristic
691C4—41no—
692C4—52no—
693C4—61no—
694C4—61no—
695C4—62no—
696C4—102no—
697C4—121no—
698C4—152no—
699C4—201no—
700C4—301no—
701C4—302no—
702C4—601no—
703C4C2×C4×D3×D511yescharacteristic
704C4D5×#23711yescharacteristic
705C3#1061150511yescharacteristic, complemented, Sylow
706C2—42no—
707C2—102no—
708C2D5×#67⋊C411yescharacteristic
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×C3×#711C22
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. D5×#887C2semidirect
4. #11750859C2semidirect
5. C5×#4757C2semidirect
7. #11749019C2semidirect
8. #11749014C2semidirect
9. #11748122C2semidirect
10. #11747832C2semidirect
11. #11747828C2semidirect
12. #11747601C2semidirect
13. #11747452C2semidirect
14. #11747271C2semidirect
15. #11747267C2semidirect
31. #91484C4semidirect
94. D5×Dic6C2×C4semidirect
98. #6716C2×C4semidirect
105. C5×#214C2×C4semidirect
127. #6662C2×C4semidirect
128. #6661C2×C4semidirect
129. #6649C2×C4semidirect
144. #4757D5semidirect
353. Dic15#137semidirect
391. #214C4×D5semidirect
613. C3×C5C4×#137semidirect
683. C5#78867semidirect
705. C3#10611505semidirect

Maximal subgroups

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

subgroupindex
Dic3×#7112
C2×#914842
D5×#8872
#117508592
C5×#47572
C3×#650602
#117490192
#117490142
#117481222
#117478322
#117478282
#117476012
#117474522
#117472712
#117472672
#106115053
#788675