Finite Group Databasebeta

← #14430836

Subgroups — #14430836

Order 1920.

796 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11754914C211yesmaximal, characteristic
2#11753331C211yesmaximal, characteristic, complemented
3#11750862C211yesmaximal, characteristic, complemented
4C5×D3×#102C211yesmaximal, characteristic
5C3×#65052C211yesmaximal, characteristic, complemented
6#11749101C211yesmaximal, characteristic, complemented
7#11749091C211yesmaximal, characteristic, complemented
8#11748967C211yesmaximal, characteristic
9#11747814C211yesmaximal, characteristic, complemented
10#11747758C211yesmaximal, characteristic, complemented
11#11747679C211yesmaximal, characteristic, complemented
12#11747655C211yesmaximal, characteristic, complemented
13#11747454C211yesmaximal, characteristic, complemented
14#11747254C211yesmaximal, characteristic, complemented
15#11747243C211yesmaximal, characteristic, complemented
16#10610462—31nomaximal, Hall
17C2×C5×D3×D4C2211yescharacteristic
18D4×Dic15C2211yescharacteristic
19#91777C2211yescharacteristic, complemented
20C2×C5×D3×C8C2211yescharacteristic
21C5×D3×C4⋊C4C2211yescharacteristic
22C3×D4×Dic5C2211yescharacteristic
23C3×#4036C2211yescharacteristic, complemented
24#67⋊Dic5—21no—
25D3×C22⋊Dic5—21no—
26Dic5×#67—21no—
27C2×(C2×D3)⋊Dic5—21no—
28#91468C2211yescharacteristic, complemented
29#91435C2211yescharacteristic
30Dic5×D12C2211yescharacteristic
31#91384C2211yescharacteristic, complemented
32#91371C2211yescharacteristic
33#91365—21no—
34#91352—21no—
35#91346—21no—
36#91338C2211yescharacteristic
37#91338C2211yescharacteristic
38#91328—21no—
39C2×#6650C2211yescharacteristic
40C3×C5×#102C2211yescharacteristic
41#91116C2211yescharacteristic
42#91101C2211yescharacteristic, complemented
43#91098C2211yescharacteristic, complemented
44#91092C2211yescharacteristic, complemented
45C5×#832C2211yescharacteristic
46C5×#821C2211yescharacteristic
47C5×#809C2211yescharacteristic
48C3×#3964C2211yescharacteristic
49C3×#3949C2211yescharacteristic, complemented
50C3×#3946C2211yescharacteristic, complemented
51C3×#3939C2211yescharacteristic, complemented
52#90990C2211yescharacteristic, complemented
53#90990C2211yescharacteristic, complemented
54#90989C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90983C2211yescharacteristic, complemented
57#90982C2211yescharacteristic, complemented
58#90967C2211yescharacteristic
59#90966C2211yescharacteristic
60#81168—51nomaximal, Hall
61#66132—31no—
62#65834—31no—
63C2×C5×#102—31no—
64#65504—31no—
65#65395—31no—
66#65391—31no—
67#65253—31no—
68#65055—31no—
69#65055—31no—
70#65052—31no—
71#65052D311yescharacteristic, complemented
72#65050—31no—
73#65050—31no—
74#65048—31no—
75#65048—31no—
76C23×C5×D3—21no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×Dic15—21no—
79C2×Dic30—21no—
80C2×C5×#67—21no—
81C5×D3×D4—22no—
82C5×D3×D4Q814yescomplemented
83C2×C5×D12C2311yescharacteristic
84C2×C4×C5×D3—21no—
85C2×C4×C5×D3C2311yescharacteristic
86C22×C3×Dic5—21no—
87C2×#1204—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90C2×C3×C5×C8C2311yescharacteristic
91C3×C5×C4⋊C4C2311yescharacteristic
92#6719—21no—
93C4⋊Dic15C2311yescharacteristic
94C4⋊Dic15C2311yescharacteristic
95#6712—21no—
96C4×Dic15C2311yescharacteristic
97C2×C3⋊#168C2311yescharacteristic
98C5×C4⋊Dic3C2311yescharacteristic
99C5×Dic3⋊C4—21no—
100C2×C5×C3⋊C8C2311yescharacteristic
101C5×D3×C8—22no—
102C3×C22⋊Dic5—21no—
103C3×C4⋊Dic5—21no—
104C3×C4⋊Dic5C2311yescharacteristic
105C3×C4⋊Dic5C2311yescharacteristic
106C3×#683—21no—
107C3×C4×Dic5C2311yescharacteristic
108C2×C3×#168C2311yescharacteristic
109Dic3⋊Dic5—21no—
110Dic3⋊Dic5D411yescharacteristic
111Dic3⋊Dic5D411yescharacteristic
112#6668—21no—
113#6668—21no—
114(C2×D3)⋊Dic5—21no—
115(C2×D3)⋊Dic5—21no—
116(C2×D3)⋊Dic5—21no—
117(C2×D3)⋊Dic5—21no—
118(C2×D3)⋊Dic5D411yescharacteristic
119(C2×D3)⋊Dic5D411yescharacteristic
120Dic3×Dic5—21no—
121Dic3×Dic5—21no—
122#6650—22no—
123#5689—51no—
124#5545—51no—
125C3×#478—51no—
126#5066—51no—
127#5007—51no—
128#4890—51no—
129#4881—51no—
130#4871—51no—
131#4860—51no—
132#4842—51no—
133#4839—51no—
134#4770—51no—
135D3×#102D511yescharacteristic
136#4763—51no—
137#4761—51no—
138C22×C5×D4—31no—
139C22×C5×C8—31no—
140C2×C5×C4⋊C4—31no—
141C2×C22⋊Dic5—61no—
142C2×C22⋊Dic5—61no—
143D4×Dic5—31no—
144D4×Dic5—31no—
145D4×Dic5—31no—
146D4×Dic5—61no—
147D4×Dic5—61no—
148D4×Dic5C2×D311yescharacteristic
149#4072—31no—
150#4072—31no—
151#4072—31no—
152#4070—61no—
153#4070—61no—
154C2×#681—31no—
155#4036—31no—
156#4036—61no—
157#4036C2×D311yescharacteristic, complemented
158#4034—31no—
159#4034—31no—
160#4034—61no—
161C5×#102—31no—
162C5×#102—31no—
163C5×#102—31no—
164C5×#102C2×D311yescharacteristic
165#3964—31no—
166#3964—31no—
167#3964—31no—
168#3964C2×D311yescharacteristic
169#3950—31no—
170#3950—31no—
171#3949—31no—
172#3949C2×D311yescharacteristic, complemented
173#3946—31no—
174#3946—31no—
175#3946—31no—
176#3946C2×D311yescharacteristic, complemented
177#3940—31no—
178#3940—31no—
179#3939—31no—
180#3939C2×D311yescharacteristic, complemented
181#3081—151noSylow
182C23×C3×C5—21no—
183C22×C5×D3—21no—
184C22×C5×D3—24no—
185C22×C5×D3—81no—
186C22×C5×D3—81no—
187C22×C5×D3C2×D411yescharacteristic
188C3×C5×D4—21no—
189C3×C5×D4C2×Q812yes—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5C2411yescharacteristic
192C2×Dic15—21no—
193C2×Dic15—21no—
194C2×Dic15—81no—
195C2×Dic15C2×D411yescharacteristic
196C2×Dic15C2×D411yescharacteristic
197Dic30—81no—
198C5×#67—24no—
199C2×C5×Dic3—21no—
200C2×C5×Dic3C2×D411yescharacteristic
201C5×D12—21no—
202C5×D12C2×Q812yes—
203C4×C5×D3—81no—
204C4×C5×D3C2×Q812yes—
205C4×C5×D3#4112yes—
206C2×C3×Dic5—21no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—81no—
209C2×C3×Dic5C2×D411yescharacteristic
210C2×C3×Dic5C2×D411yescharacteristic
211#1204—81no—
212D3×Dic5—81no—
213D3×Dic5—81no—
214C3×C5×C8—21no—
215C3⋊#168—21no—
216C3×#168—21no—
217C5×C3⋊C8—21no—
218C2×D3×D4C2×D511yescharacteristic
219C3×#125—51no—
220C3×C4×D4—51no—
221D4×Dic3—51no—
222C4×#67—101no—
223C2×(C2×D3)⋊C4—101no—
224C2×ΓL(1,𝔽25)—51no—
225C2×D3×C8C2×D511yescharacteristic
226#897—101no—
227#896—101no—
228#893—51no—
229#892—51no—
230#892—51no—
231D3×C4⋊C4C2×D511yescharacteristic
232#890—51no—
233#889—101no—
234#888—51no—
235#888—101no—
236#67⋊C4—101no—
237D3×C22⋊C4—101no—
238C4×D12—51no—
239#872—51no—
240#869—51no—
241C3×#107—51no—
242C3×#106—51no—
243C3×C4⋊C8—51no—
244C3×#102—51no—
245C3×#102C2×D511yescharacteristic
246#832—51no—
247#832C2×D511yescharacteristic
248#821—51no—
249#821C2×D511yescharacteristic
250#817—51no—
251#817—51no—
252Dic3⋊C8—51no—
253Dic3⋊C8—51no—
254#809—51no—
255#809C2×D511yescharacteristic
256#808—51no—
257#807—51no—
258#807—51no—
259#807—51no—
260C4⋊(C3⋊C8)—51no—
261C24×C5—61no—
262C2×C5×D4—34no—
263C2×C5×D4—31no—
264C2×C5×D4—62no—
265C2×C5×D4—61no—
266C2×C5×D4C22×D311yescharacteristic
267C22×C4×C5—31no—
268C22×C4×C5—61no—
269C22×Dic5—21no—
270C22×Dic5—61no—
271C22×Dic5—61no—
272C22×Dic5—61no—
273C2×Dic10—61no—
274C2×Dic10—61no—
275C2×C5×C8—31no—
276C2×C5×C8—62no—
277C2×C5×C8C22×D311yescharacteristic
278C5×C4⋊C4—31no—
279C5×C4⋊C4—61no—
280C5×C4⋊C4C22×D311yescharacteristic
281C22⋊Dic5—21no—
282C22⋊Dic5—31no—
283C22⋊Dic5—31no—
284C22⋊Dic5—61no—
285C22⋊Dic5—61no—
286C22⋊Dic5—61no—
287C22⋊Dic5—61no—
288C22⋊Dic5—61no—
289C4⋊Dic5—21no—
290C4⋊Dic5—31no—
291C4⋊Dic5—31no—
292C4⋊Dic5—31no—
293C4⋊Dic5—31no—
294C4⋊Dic5—61no—
295C4⋊Dic5C22×D311yescharacteristic
296C4⋊Dic5C22×D311yescharacteristic
297#683—21no—
298#683—61no—
299#683—61no—
300#683—61no—
301C4×Dic5—31no—
302C4×Dic5—61no—
303C4×Dic5—61no—
304C4×Dic5C22×D311yescharacteristic
305#681—62no—
306C2×#168—31no—
307C2×#168C22×D311yescharacteristic
308#544—151no—
309#518—151no—
310#478—51no—
311#478—151no—
312#478—151no—
313#478—151no—
314#476—151no—
315#476—151no—
316#474—151no—
317#474—151no—
318#428—151no—
319#427—151no—
320#424—151no—
321#418—151no—
322C2×#102—31no—
323C22×C3×C5—22no—
324C22×C3×C5—41no—
325C22×C3×C5—41no—
326C22×C3×C5C22×D411yescharacteristic
327C2×C5×D3—21no—
328C2×C5×D3—21no—
329C2×C5×D3—22no—
330C2×C5×D3—41no—
331C2×C5×D3—41no—
332C2×C5×D3—84no—
333C2×C5×D3C22⋊Q812yes—
334C3×C4×C5—41no—
335C3×C4×C5C22×Q811yescharacteristic
336C3×C4×C5C2×#4111yescharacteristic
337Dic15—21no—
338Dic15—21no—
339Dic15—41no—
340Dic15—41no—
341C3×Dic5—21no—
342C3×Dic5—21no—
343C3×Dic5—41no—
344C3×Dic5—41no—
345C5×Dic3—41no—
346C5×Dic3C22⋊Q812yes—
347C23×D3—21no—
348C2×C3×D4C22×D511yescharacteristic
349C22×C3×C4—101no—
350C2×#67—21no—
351C22×Dic3—101no—
352D3×D4—22no—
353D3×D4Dic1014yescomplemented
354C2×D12C22×D511yescharacteristic
355C2×C4×D3—21no—
356C2×C4×D3—101no—
357C2×C4×D3—101no—
358C2×C4×D3C22×D511yescharacteristic
359C2×Dic6—101no—
360C2×Dic6—101no—
361C2×C3×C8—51no—
362C2×C3×C8C22×D511yescharacteristic
363C3×C4⋊C4—51no—
364C3×C4⋊C4—51no—
365C3×C4⋊C4—101no—
366C3×C4⋊C4—101no—
367C3×C4⋊C4C22×D511yescharacteristic
368C3×C22⋊C4—101no—
369C3×C42—51no—
370#217—101no—
371(C2×D3)⋊C4—51no—
372(C2×D3)⋊C4—51no—
373(C2×D3)⋊C4—101no—
374(C2×D3)⋊C4—101no—
375(C2×D3)⋊C4—101no—
376(C2×D3)⋊C4—101no—
377C4⋊Dic3—51no—
378C4⋊Dic3—51no—
379C4⋊Dic3—101no—
380C4⋊Dic3—101no—
381C4⋊Dic3C22×D511yescharacteristic
382Dic3⋊C4—21no—
383Dic3⋊C4—51no—
384Dic3⋊C4—51no—
385Dic3⋊C4—101no—
386Dic3⋊C4—101no—
387C4×Dic3—51no—
388C4×Dic3—101no—
389C4×Dic3—101no—
390C2×C3⋊C8—51no—
391C2×C3⋊C8C22×D511yescharacteristic
392ΓL(1,𝔽25)—102no—
393D3×C8—22no—
394C23×C5—21no—
395C23×C5—31no—
396C23×C5—64no—
397C23×C5—61no—
398C23×C5—241no—
399C23×C5—241no—
400C5×D4—21no—
401C5×D4—32no—
402C5×D4—64no—
403C5×D4—61no—
404C5×D4D3×Q812yes—
405C2×C4×C5—21no—
406C2×C4×C5—31no—
407C2×C4×C5—32no—
408C2×C4×C5—32no—
409C2×C4×C5—61no—
410C2×C4×C5—241no—
411C2×C4×C5C23×D311yescharacteristic
412C2×Dic5—21no—
413C2×Dic5—21no—
414C2×Dic5—31no—
415C2×Dic5—31no—
416C2×Dic5—61no—
417C2×Dic5—61no—
418C2×Dic5—81no—
419C2×Dic5—241no—
420C2×Dic5—241no—
421C2×Dic5—241no—
422C2×Dic5D3×D411yescharacteristic
423C2×Dic5D3×D411yescharacteristic
424Dic10—241no—
425Dic10—241no—
426C5×C8—21no—
427C5×C8—61no—
428#168—21no—
429#168—61no—
430C22×D4—31no—
431C2×M16—151no—
432C22×C8—31no—
433C4⋊Q8—151no—
434C4⋊Q8—151no—
435C4⋊Q8—301no—
436#125—51no—
437#125—151no—
438#125—301no—
439C22⋊Q8—301no—
440C22⋊Q8—301no—
441C4×D4—51no—
442C4×D4—151no—
443C4×D4—151no—
444C4×D4—151no—
445C4×D4—301no—
446C4×D4—301no—
447#117—151no—
448#117—151no—
449#117—151no—
450C2×C4⋊C4—31no—
451C2×C22⋊C4—301no—
452C2×C22⋊C4—301no—
453#107—51no—
454#107—151no—
455#107—151no—
456#107—151no—
457#106—51no—
458#106—151no—
459#106—151no—
460#106—151no—
461C4⋊C8—51no—
462C4⋊C8—151no—
463C4⋊C8—151no—
464C4⋊C8—151no—
465#102—31no—
466#102—31no—
467#102—31no—
468#102—51no—
469#102—151no—
470#102—151no—
471#102—151no—
472#102D3×D511yescharacteristic
473C2×C3×C5—42no—
474C2×C3×C5C2×C22⋊Q811yescharacteristic
475C2×C3×C5#57611yescharacteristic
476C2×C3×C5#57711yescharacteristic
477C5×D3—22no—
478C5×D3—42no—
479C23×C3—21no—
480C22×D3—21no—
481C22×D3—24no—
482C22×D3—81no—
483C22×D3—81no—
484C22×D3D4×D511yescharacteristic
485C3×D4—21no—
486C3×D4C2×Dic1012yes—
487C2×C3×C4—21no—
488C2×C3×C4—51no—
489C2×C3×C4—51no—
490C2×C3×C4—101no—
491C2×C3×C4—101no—
492C2×C3×C4—401no—
493C2×C3×C4C23×D511yescharacteristic
494#67—24no—
495C2×Dic3—21no—
496C2×Dic3—51no—
497C2×Dic3—51no—
498C2×Dic3—101no—
499C2×Dic3—101no—
500C2×Dic3—401no—
501C2×Dic3D4×D511yescharacteristic
502D12—21no—
503D12C2×Dic1012yes—
504C4×D3—81no—
505C4×D3—401no—
506C4×D3—401no—
507C4×D3C2×Dic1012yes—
508C4×D3#71112yes—
509Dic6—401no—
510Dic6—401no—
511C3×C8—21no—
512C3×C8—101no—
513C3⋊C8—21no—
514C3⋊C8—101no—
515C22×C5—22no—
516C22×C5—32no—
517C22×C5—41no—
518C22×C5—41no—
519C22×C5—61no—
520C22×C5—61no—
521C22×C5—62no—
522C22×C5—121no—
523C22×C5—121no—
524C22×C5—244no—
525C22×C5C2×D3×D411yescharacteristic
526C4×C5—32no—
527C4×C5—41no—
528C4×C5—121no—
529C4×C5C2×D3×Q811yescharacteristic
530C4×C5D3×#4111yescharacteristic
531Dic5—21no—
532Dic5—21no—
533Dic5—41no—
534Dic5—41no—
535Dic5—61no—
536Dic5—61no—
537Dic5—121no—
538Dic5—121no—
539C24—61no—
540C2×Q8—301no—
541C2×Q8—301no—
542C2×D4—34no—
543C2×D4—31no—
544C2×D4—62no—
545C2×D4—61no—
546C2×D4C2×D3×D511yescharacteristic
547C22×C4—31no—
548C22×C4—61no—
549C22×C4—101no—
550C22×C4—301no—
551C22×C4—301no—
552C22×C4—301no—
553M16—302no—
554C2×C8—31no—
555C2×C8—51no—
556C2×C8—62no—
557C2×C8—151no—
558C2×C8C2×D3×D511yescharacteristic
559C4⋊C4—31no—
560C4⋊C4—51no—
561C4⋊C4—51no—
562C4⋊C4—61no—
563C4⋊C4—101no—
564C4⋊C4—101no—
565C4⋊C4—151no—
566C4⋊C4—151no—
567C4⋊C4—151no—
568C4⋊C4—151no—
569C4⋊C4—301no—
570C4⋊C4—301no—
571C4⋊C4—301no—
572C4⋊C4—301no—
573C4⋊C4C2×D3×D511yescharacteristic
574C22⋊C4—101no—
575C22⋊C4—151no—
576C22⋊C4—151no—
577C22⋊C4—301no—
578C22⋊C4—301no—
579C22⋊C4—301no—
580C22⋊C4—301no—
581C22⋊C4—301no—
582C42—51no—
583C42—151no—
584C42—301no—
585C42—301no—
586C3×C5#308111yescharacteristic, complemented, Hall
587C22×C3—22no—
588C22×C3—41no—
589C22×C3—41no—
590C22×C3C2×D4×D511yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—22no—
594C2×D3—41no—
595C2×D3—41no—
596C2×D3—84no—
597C2×D3#402412yes—
598C3×C4—41no—
599C3×C4—101no—
600C3×C4—101no—
601C3×C4—201no—
602C3×C4—201no—
603C3×C4C22×Dic1011yescharacteristic
604C3×C4C2×#71111yescharacteristic
605Dic3—41no—
606Dic3—101no—
607Dic3—101no—
608Dic3—201no—
609Dic3—201no—
610Dic3#402412yes—
611C2×C5—42no—
612C2×C5—62no—
613C2×C5—122no—
614C2×C5D3×C22⋊Q811yescharacteristic
615C2×C5#577011yescharacteristic
616C2×C5#577411yescharacteristic
617C23—21no—
618C23—31no—
619C23—64no—
620C23—61no—
621C23—241no—
622C23—241no—
623Q8—1201no—
624Q8—1201no—
625D4—21no—
626D4—32no—
627D4—64no—
628D4—61no—
629D4D3×Dic1012yes—
630C2×C4—21no—
631C2×C4—31no—
632C2×C4—32no—
633C2×C4—32no—
634C2×C4—51no—
635C2×C4—51no—
636C2×C4—61no—
637C2×C4—101no—
638C2×C4—101no—
639C2×C4—151no—
640C2×C4—151no—
641C2×C4—241no—
642C2×C4—301no—
643C2×C4—301no—
644C2×C4—401no—
645C2×C4—1201no—
646C2×C4—1201no—
647C2×C4—1201no—
648C2×C4C22×D3×D511yescharacteristic
649C8—21no—
650C8—61no—
651C8—101no—
652C8—301no—
653C2×C3—42no—
654C2×C3C2×#402411yescharacteristic
655C2×C3#6609111yescharacteristic
656C2×C3#6609611yescharacteristic
657D3—22no—
658D3—42no—
659C5#8116811yescharacteristic, complemented, Sylow
660C22—22no—
661C22—32no—
662C22—41no—
663C22—41no—
664C22—61no—
665C22—61no—
666C22—62no—
667C22—121no—
668C22—121no—
669C22—244no—
670C22D3×D4×D511yescharacteristic
671C4—32no—
672C4—41no—
673C4—101no—
674C4—101no—
675C4—121no—
676C4—201no—
677C4—201no—
678C4—301no—
679C4—301no—
680C4—601no—
681C4—601no—
682C4C2×D3×Dic1011yescharacteristic
683C4D3×#71111yescharacteristic
684C3#1061046211yescharacteristic, complemented, Sylow
685C2—42no—
686C2—62no—
687C2—122no—
688C2D3×#402411yescharacteristic
689C2#1175405611yescharacteristic
690C2#1175409211yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×C5×D3×D4C22
hypercenter#102D3×D5
hypocenterC3×C5#3081
LCSG ▷ C2×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
2. #11753331C2semidirect
3. #11750862C2semidirect
5. C3×#65052C2semidirect
6. #11749101C2semidirect
7. #11749091C2semidirect
9. #11747814C2semidirect
10. #11747758C2semidirect
11. #11747679C2semidirect
12. #11747655C2semidirect
13. #11747454C2semidirect
14. #11747254C2semidirect
15. #11747243C2semidirect
19. #91777C22semidirect
23. C3×#4036C22semidirect
28. #91468C22semidirect
31. #91384C22semidirect
42. #91101C22semidirect
43. #91098C22semidirect
44. #91092C22semidirect
49. C3×#3949C22semidirect
50. C3×#3946C22semidirect
51. C3×#3939C22semidirect
52. #90990C22semidirect
53. #90990C22semidirect
54. #90989C22semidirect
55. #90985C22semidirect
56. #90983C22semidirect
57. #90982C22semidirect
71. #65052D3semidirect
82. C5×D3×D4Q8semidirect
157. #4036C2×D3semidirect
172. #3949C2×D3semidirect
176. #3946C2×D3semidirect
180. #3939C2×D3semidirect
353. D3×D4Dic10semidirect
586. C3×C5#3081semidirect
659. C5#81168semidirect
684. C3#10610462semidirect

Maximal subgroups

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

subgroupindex
#117549142
#117533312
#117508622
C5×D3×#1022
C3×#650522
#117491012
#117490912
#117489672
#117478142
#117477582
#117476792
#117476552
#117474542
#117472542
#117472432
#106104623
#811685