Finite Group Databasebeta

← #14417203

Subgroups — #14417203

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
1#11755144C211yesmaximal, characteristic, complemented
2C2×#91518C211yesmaximal, characteristic
3#11753399C211yesmaximal, characteristic
4#11750890C211yesmaximal, characteristic, complemented
5C5×D3×#103C211yesmaximal, characteristic, complemented
6C3×#65106C211yesmaximal, characteristic, complemented
7#11749244C211yesmaximal, characteristic, complemented
8#11749239C211yesmaximal, characteristic, complemented
9#11748137C211yesmaximal, characteristic
10#11747835C211yesmaximal, characteristic, complemented
11#11747736C211yesmaximal, characteristic, complemented
12#11747665C211yesmaximal, characteristic, complemented
13#11747454C211yesmaximal, characteristic, complemented
14#11747278C211yesmaximal, characteristic, complemented
15#11747261C211yesmaximal, characteristic, complemented
16#10610505—31nomaximal, Hall
17C2×C5×D3×Q8C2211yescharacteristic
18C2×#6765C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21#91776C2211yescharacteristic
22C2×C5×D3×C8C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C2×C3×#688C2211yescharacteristic
26C3×#4039C2211yescharacteristic
27#91518C418yescomplemented
28#91441—21no—
29C4×#1201—21no—
30#91434C2211yescharacteristic
31#91394—21no—
32D5×Dic3⋊C4—21no—
33#91371—21no—
34#91371C2211yescharacteristic
35#91344—21no—
36#91344C2211yescharacteristic
37#91338—21no—
38#91338C2211yescharacteristic
39#91333C2211yescharacteristic
40Dic5×Dic6—21no—
41Dic5×Dic6C2211yescharacteristic
42C2×#6663C2211yescharacteristic
43C2×#6655C2211yescharacteristic
44C2×#6650C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91100C2211yescharacteristic
47#91099C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#816C2211yescharacteristic
51C5×#810C2211yescharacteristic
52C3×#3953C2211yescharacteristic
53C3×#3947C2211yescharacteristic
54C3×#3939C2211yescharacteristic
55#90989C2211yescharacteristic
56#90985C2211yescharacteristic
57#90974C2211yescharacteristic
58#90965C2211yescharacteristic
59#90951C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61#79776—51nomaximal, Hall
62#66146—31no—
63C2×#4088—31no—
64#65838—31no—
65C2×C5×#103—31no—
66#65402—31no—
67#65390—31no—
68#65253—31no—
69#65106—31no—
70#65106D311yescharacteristic, complemented
71#65079—31no—
72#65079—31no—
73#65078—31no—
74#65078—31no—
75#65077—31no—
76#65077—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C5×D3×Q8—22no—
80C5×D3×Q8C2×C414yescomplemented
81C2×C4×C5×D3—21no—
82C2×C4×C5×D3—21no—
83C2×C4×C5×D3C2311yescharacteristic
84C2×C5×Dic6—21no—
85C2×C5×Dic6C2311yescharacteristic
86C2×C3×D20C2311yescharacteristic
87C2×C3×C4×D5—21no—
88C2×#1201—21no—
89C2×D5×Dic3—21no—
90C2×D5×Dic3—21no—
91#6765—22no—
92#6765C2×C414yes—
93C2×C3×C5×C8C2311yescharacteristic
94C3×C5×C4⋊C4C2311yescharacteristic
95#6718C2×C414yescomplemented
96C4⋊Dic15—21no—
97C4⋊Dic15C2311yescharacteristic
98#6712—21no—
99C4×Dic15—21no—
100C4×Dic15—21no—
101C4×Dic15C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C5×C4⋊Dic3C2311yescharacteristic
104C5×Dic3⋊C4—21no—
105C2×C5×C3⋊C8C2311yescharacteristic
106C5×D3×C8—22no—
107C3×#688C2×C414yescomplemented
108C3×#685—21no—
109C3×C4⋊Dic5—21no—
110C3×C4⋊Dic5C2311yescharacteristic
111C3×C4×Dic5—21no—
112C3×C4×Dic5C2311yescharacteristic
113C2×C3×#168C2311yescharacteristic
114Dic3⋊Dic5—21no—
115Dic3⋊Dic5—21no—
116Dic3⋊Dic5D411yescharacteristic
117Dic3⋊Dic5D411yescharacteristic
118#6669—21no—
119(C2×D3)⋊Dic5—21no—
120(C2×D3)⋊Dic5D411yescharacteristic
121(C2×D3)⋊Dic5D411yescharacteristic
122#6665—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6663C2×C414yescomplemented
128#6655C2×C414yescomplemented
129#6650C2×C414yescomplemented
130C2×#915—51no—
131#5572—51no—
132#5546—51no—
133C3×#440—51no—
134Dic3×SD16—51no—
135C4×#216—51no—
136C4×#214—51no—
137#4881—51no—
138#4873—51no—
139D3×#103D511yescharacteristic, complemented
140#4789—51no—
141#4772—51no—
142#4757—51no—
143#4716—51no—
144#4708—51no—
145C22×C5×Q8—31no—
146C2×#709—31no—
147C22×C5×C8—31no—
148C2×C5×C4⋊C4—31no—
149Q8×Dic5—31no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152Q8×Dic5—61no—
153Q8×Dic5—61no—
154Q8×Dic5C2×D311yescharacteristic
155C2×#689—31no—
156C2×#689—31no—
157#4088—38no—
158C2×#688—31no—
159C2×#688C2×D311yescharacteristic
160C4×C22⋊D5—61no—
161C4×C22⋊D5—61no—
162#4072—31no—
163#4072—31no—
164#4072—61no—
165#4072—61no—
166C2×#681—31no—
167#4039—31no—
168#4039C2×D311yescharacteristic
169#4038—61no—
170D5×C4⋊C4—61no—
171#4033—31no—
172#4033—31no—
173C5×#103—31no—
174C5×#103—31no—
175C5×#103—31no—
176C5×#103C2×D311yescharacteristic
177#3953—31no—
178#3953C2×D311yescharacteristic
179#3948—31no—
180#3948—31no—
181#3947—31no—
182#3947C2×D311yescharacteristic
183C8×Dic5—31no—
184C8×Dic5—31no—
185#3940—31no—
186#3940—31no—
187#3939—31no—
188#3939C2×D311yescharacteristic
189#2947—151noSylow
190C22×C5×D3C2×D411yescharacteristic
191C22×C3×D5—21no—
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2411yescharacteristic
197C2×Dic15—21no—
198C2×Dic15—21no—
199C2×Dic15C2×D411yescharacteristic
200C2×Dic15C2×D411yescharacteristic
201Dic30—21no—
202Dic30C22×C412yes—
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C4×C5×D3—24no—
207C4×C5×D3—81no—
208C4×C5×D3C22×C412yes—
209C4×C5×D3#4112yes—
210C5×Dic6—21no—
211C5×Dic6—24no—
212C5×Dic6C22×C412yes—
213C2×C3×Dic5—21no—
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216C3×D20—21no—
217C3×D20C22×C412yes—
218C3×C4×D5—81no—
219#1201—24no—
220D5×Dic3—24no—
221D5×Dic3—81no—
222C3×C5×C8—21no—
223C3⋊#168C22×C412yes—
224C3×#168C22×C412yes—
225C5×C3⋊C8—21no—
226C2×D3×Q8C2×D511yescharacteristic
227C2×#237—51no—
228C2×C3×SD16—51no—
229C3×C4×Q8—51no—
230C3×C4×D4—51no—
231Q8×Dic3—51no—
232C2×#216—51no—
233D4×Dic3—51no—
234C2×#214—51no—
235C4×#67—101no—
236C2×Dic3⋊C4—101no—
237#915—58no—
238C2×Dic12—51no—
239C2×ΓL(1,𝔽25)—51no—
240C2×D3×C8C2×D511yescharacteristic
241#892—51no—
242#892—101no—
243D3×C4⋊C4C2×D511yescharacteristic
244#887—51no—
245#887—51no—
246#887—101no—
247#67⋊C4—101no—
248#877—101no—
249#872—51no—
250#872—101no—
251C4×Dic6—51no—
252C4×Dic6—51no—
253C4×Dic6—101no—
254C3×#107—51no—
255C3×#103C2×D511yescharacteristic
256C3×#102—51no—
257C3×#97—51no—
258#835C2×D511yescharacteristic
259#832—51no—
260#817—51no—
261#816—51no—
262#816C2×D511yescharacteristic
263#815—51no—
264C8×Dic3—51no—
265#810—51no—
266#810C2×D511yescharacteristic
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—
277C22×C4×C5—61no—
278C2×C22⋊D5—61no—
279#709—34no—
280#709—62no—
281C2×D20C22×D311yescharacteristic
282C2×C4×D5—21no—
283C2×C4×D5—61no—
284C2×C4×D5—61no—
285C2×Dic10—31no—
286C2×C5×C8—31no—
287C2×C5×C8—62no—
288C2×C5×C8C22×D311yescharacteristic
289C5×C4⋊C4—31no—
290C5×C4⋊C4—61no—
291C5×C4⋊C4C22×D311yescharacteristic
292C22⋊Dic5—31no—
293C22⋊Dic5—31no—
294C22⋊Dic5—61no—
295#689—34no—
296#689—34no—
297#688—34no—
298#688C4×D314yescomplemented
299#685—21no—
300#685—61no—
301C4⋊Dic5—21no—
302C4⋊Dic5—31no—
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5—61no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308C4⋊Dic5C22×D311yescharacteristic
309#683—61no—
310#683—61no—
311C4×Dic5—21no—
312C4×Dic5—31no—
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5C22×D311yescharacteristic
320#681—34no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323C2×#137—151no—
324#520—151no—
325#519—151no—
326#441—151no—
327#441—151no—
328#440—51no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—151no—
333C4×SD16—151no—
334#428—151no—
335#416—151no—
336C2×#103—31no—
337#405—151no—
338C22×C3×C5C22×D411yescharacteristic
339C2×C5×D3—21no—
340C2×C5×D3—21no—
341C2×C5×D3C4×D412yes—
342C2×C3×D5—22no—
343C2×C3×D5—41no—
344C2×C3×D5—41no—
345C3×C4×C5—22no—
346C3×C4×C5—41no—
347C3×C4×C5C23×C411yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—22no—
350Dic15—21no—
351Dic15—21no—
352Dic15—41no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C5×Dic3—22no—
357C5×Dic3—41no—
358C5×Dic3C4×D412yes—
359C2×C3×Q8C22×D511yescharacteristic
360C2×C3×D4—51no—
361C22×C3×C4—101no—
362C2×#67—101no—
363C22×Dic3—101no—
364C22×Dic3—101no—
365D3×Q8—22no—
366D3×Q8C4×D514yescomplemented
367#237—54no—
368#237—102no—
369C2×C4×D3—21no—
370C2×C4×D3—21no—
371C2×C4×D3C22×D511yescharacteristic
372C2×Dic6—21no—
373C2×Dic6—51no—
374C2×Dic6C22×D511yescharacteristic
375C3×SD16—54no—
376C2×C3×C8—51no—
377C2×C3×C8C22×D511yescharacteristic
378C3×C4⋊C4—51no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4C22×D511yescharacteristic
381C3×C22⋊C4—101no—
382C3×C42—51no—
383C3×C42—101no—
384#217—101no—
385#216—54no—
386#214—54no—
387(C2×D3)⋊C4—51no—
388(C2×D3)⋊C4—51no—
389(C2×D3)⋊C4—101no—
390C4⋊Dic3—51no—
391C4⋊Dic3—101no—
392C4⋊Dic3C22×D511yescharacteristic
393Dic3⋊C4—21no—
394Dic3⋊C4—51no—
395Dic3⋊C4—51no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—51no—
401C4×Dic3—101no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C2×C3⋊C8—51no—
408C2×C3⋊C8C22×D511yescharacteristic
409Dic12—54no—
410ΓL(1,𝔽25)—54no—
411D3×C8—22no—
412C23×C5—31no—
413C22×D5—21no—
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—64no—
425C2×C4×C5—61no—
426C2×C4×C5—61no—
427C2×C4×C5—241no—
428C2×C4×C5C23×D311yescharacteristic
429C22⋊D5—64no—
430C2×Dic5—21no—
431C2×Dic5—31no—
432C2×Dic5—31no—
433C2×Dic5—61no—
434C2×Dic5—61no—
435C2×Dic5D3×D411yescharacteristic
436C2×Dic5D3×D411yescharacteristic
437D20—21no—
438D20C2×C4×D312yes—
439C4×D5—64no—
440C4×D5—81no—
441C4×D5—241no—
442Dic10—32no—
443Dic10—61no—
444C5×C8—21no—
445C5×C8—61no—
446#168—32no—
447#168C2×C4×D312yes—
448C2×#41—151no—
449C22×Q8—31no—
450#137—158no—
451C2×Q16—151no—
452C2×Q16—151no—
453C2×SD16—51no—
454C2×SD16—151no—
455C2×M16—151no—
456C22×C8—31no—
457C4×Q8—51no—
458C4×Q8—151no—
459C4×Q8—151no—
460C4×Q8—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—301no—
464C4×Q8—301no—
465C4×D4—51no—
466C4×D4—151no—
467C4×D4—301no—
468C4×D4—301no—
469#117—151no—
470#117—151no—
471#117—301no—
472#117—301no—
473#117—301no—
474C2×C4⋊C4—31no—
475C2×C4⋊C4—301no—
476#107—51no—
477#107—151no—
478#106—151no—
479#106—151no—
480#103—31no—
481#103—31no—
482#103—31no—
483#103—151no—
484#103—151no—
485#103D3×D511yescharacteristic
486#102—51no—
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
495C3×D5—42no—
496C5×D3—22no—
497C23×C3—101no—
498C22×D3D4×D511yescharacteristic
499C3×Q8—21no—
500C3×Q8C2×C4×D512yes—
501C3×D4—52no—
502C3×D4—101no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—51no—
506C2×C3×C4—51no—
507C2×C3×C4—101no—
508C2×C3×C4—401no—
509C2×C3×C4C23×D511yescharacteristic
510#67—104no—
511C2×Dic3—21no—
512C2×Dic3—21no—
513C2×Dic3—51no—
514C2×Dic3—51no—
515C2×Dic3—101no—
516C2×Dic3—104no—
517C2×Dic3—101no—
518C2×Dic3—401no—
519C2×Dic3D4×D511yescharacteristic
520C4×D3—24no—
521C4×D3—81no—
522C4×D3C2×C4×D512yes—
523C4×D3#71112yes—
524Dic6—21no—
525Dic6—24no—
526Dic6—52no—
527Dic6—101no—
528Dic6C2×C4×D512yes—
529C3×C8—21no—
530C3×C8—52no—
531C3⋊C8—21no—
532C3⋊C8—52no—
533C22×C5—32no—
534C22×C5—61no—
535C22×C5—61no—
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—22no—
538C2×D5—41no—
539C2×D5—41no—
540C4×C5—22no—
541C4×C5—32no—
542C4×C5—41no—
543C4×C5—62no—
544C4×C5—121no—
545C4×C5C22×C4×D311yescharacteristic
546C4×C5D3×#4111yescharacteristic
547Dic5—21no—
548Dic5—21no—
549Dic5—41no—
550Dic5—61no—
551Dic5—61no—
552Dic5—62no—
553Dic5—121no—
554#41—154no—
555#41—302no—
556C2×Q8—34no—
557C2×Q8—31no—
558C2×Q8—61no—
559C2×Q8—62no—
560C2×Q8—151no—
561C2×Q8C2×D3×D511yescharacteristic
562C2×D4—51no—
563C2×D4—301no—
564C22×C4—31no—
565C22×C4—61no—
566C22×C4—61no—
567C22×C4—101no—
568C22×C4—301no—
569C22×C4—301no—
570Q16—154no—
571Q16—154no—
572SD16—54no—
573SD16—154no—
574M16—154no—
575C2×C8—31no—
576C2×C8—51no—
577C2×C8—62no—
578C2×C8—151no—
579C2×C8C2×D3×D511yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—51no—
582C4⋊C4—61no—
583C4⋊C4—101no—
584C4⋊C4—151no—
585C4⋊C4—151no—
586C4⋊C4—151no—
587C4⋊C4—301no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C22⋊C4—101no—
594C22⋊C4—151no—
595C22⋊C4—151no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C42—51no—
599C42—101no—
600C42—151no—
601C42—301no—
602C42—301no—
603C42—301no—
604C42—301no—
605C42—301no—
606C42—301no—
607C3×C5#294711yescharacteristic, complemented, Hall
608C22×C3—102no—
609C22×C3—201no—
610C22×C3—201no—
611C22×C3C2×D4×D511yescharacteristic
612C2×D3—21no—
613C2×D3—21no—
614C2×D3#402712yes—
615C3×C4—22no—
616C3×C4—41no—
617C3×C4—101no—
618C3×C4—101no—
619C3×C4—201no—
620C3×C4C22×C4×D511yescharacteristic
621C3×C4C2×#71111yescharacteristic
622Dic3—22no—
623Dic3—41no—
624Dic3—102no—
625Dic3—101no—
626Dic3—101no—
627Dic3—201no—
628Dic3#402712yes—
629C2×C5—62no—
630C2×C5C4×D3×D411yescharacteristic
631C2×C5#577511yescharacteristic
632C2×C5#577911yescharacteristic
633D5—42no—
634C23—31no—
635C23—101no—
636Q8—21no—
637Q8—32no—
638Q8—64no—
639Q8—61no—
640Q8—152no—
641Q8—301no—
642Q8C4×D3×D512yes—
643D4—52no—
644D4—101no—
645D4—304no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—31no—
649C2×C4—32no—
650C2×C4—32no—
651C2×C4—51no—
652C2×C4—51no—
653C2×C4—64no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—101no—
657C2×C4—151no—
658C2×C4—151no—
659C2×C4—241no—
660C2×C4—304no—
661C2×C4—301no—
662C2×C4—301no—
663C2×C4—401no—
664C2×C4—1201no—
665C2×C4C22×D3×D511yescharacteristic
666C8—21no—
667C8—52no—
668C8—61no—
669C8—152no—
670C2×C3—202no—
671C2×C3C2×#402711yescharacteristic
672C2×C3#6609611yescharacteristic
673C2×C3#6610011yescharacteristic
674D3—22no—
675C5#7977611yescharacteristic, complemented, Sylow
676C22—32no—
677C22—61no—
678C22—61no—
679C22—102no—
680C22—201no—
681C22—201no—
682C22D3×D4×D511yescharacteristic
683C4—22no—
684C4—32no—
685C4—41no—
686C4—62no—
687C4—101no—
688C4—101no—
689C4—121no—
690C4—201no—
691C4—301no—
692C4—301no—
693C4—302no—
694C4—601no—
695C4C2×C4×D3×D511yescharacteristic
696C4D3×#71111yescharacteristic
697C3#1061050511yescharacteristic, complemented, Sylow
698C2—62no—
699C2—202no—
700C2D3×#402711yescharacteristic
701C2#1175408211yescharacteristic
702C2#1175410811yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC2×#6765C22
cosocleC2×C3×C4×C5C24
hypercenter#103D3×D5
hypocenterC3×C5#2947
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. #11755144C2semidirect
4. #11750890C2semidirect
5. C5×D3×#103C2semidirect
6. C3×#65106C2semidirect
7. #11749244C2semidirect
8. #11749239C2semidirect
10. #11747835C2semidirect
11. #11747736C2semidirect
12. #11747665C2semidirect
13. #11747454C2semidirect
14. #11747278C2semidirect
15. #11747261C2semidirect
27. #91518C4semidirect
70. #65106D3semidirect
80. C5×D3×Q8C2×C4semidirect
95. #6718C2×C4semidirect
107. C3×#688C2×C4semidirect
127. #6663C2×C4semidirect
128. #6655C2×C4semidirect
129. #6650C2×C4semidirect
139. D3×#103D5semidirect
298. #688C4×D3semidirect
366. D3×Q8C4×D5semidirect
607. C3×C5#2947semidirect
675. C5#79776semidirect
697. C3#10610505semidirect

Maximal subgroups

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

subgroupindex
#117551442
C2×#915182
#117533992
#117508902
C5×D3×#1032
C3×#651062
#117492442
#117492392
#117481372
#117478352
#117477362
#117476652
#117474542
#117472782
#117472612
#106105053
#797765