Finite Group Databasebeta

← C5×#18571 #11941291

Subgroups — C5×#18571 #11941291

Order 1280.

1008 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3519C211yesmaximal, characteristic
2C5×#3218C211yesmaximal, characteristic, complemented
3C5×#3141C211yesmaximal, characteristic, complemented
4C2×C5×#474C211yesmaximal, characteristic, complemented
5C5×#1646C212yesmaximal, complemented
6C5×#1644C212yesmaximal, complemented
7C5×#1641C212yesmaximal, complemented
8C5×#1639C212yesmaximal, complemented
9C5×#1551C211yesmaximal, characteristic, complemented
10C5×#1490C211yesmaximal, characteristic, complemented
11C5×#1483C211yesmaximal, characteristic, complemented
12C5×#555C2211yescharacteristic
13C5×#554C2211yescharacteristic
14C5×#553—21no—
15C5×#553—21no—
16C5×#550C2211yescharacteristic
17C5×#546—22no—
18C5×#546—21no—
19C5×D42—21no—
20C5×D42C2211yescharacteristic
21C5×#540—21no—
22C5×#538—22no—
23C5×#532C2211yescharacteristic
24C2×C5×C4⋊Q8C2211yescharacteristic, complemented
25C5×#529C2211yescharacteristic
26C5×#525—21no—
27C2×C5×#121—21no—
28C5×#518—21no—
29C2×C4×C5×D4C2211yescharacteristic
30C5×#497—21no—
31C5×#491—21no—
32C5×#489—22no—
33C5×#487C2212yescomplemented
34C5×#486C2212yescomplemented
35C5×#474—21no—
36C5×#474—21no—
37C5×#474C2212yes—
38C5×#474C2212yescomplemented
39C5×#462C2212yescomplemented
40C5×#461C2212yescomplemented
41C5×#451—21no—
42C5×#448—21no—
43C5×#432C2211yescharacteristic, complemented
44C2×C5×#107—21no—
45C2×C5×C4⋊C8C2211yescharacteristic, complemented
46C5×#417—22no—
47C2×C5×#102—21no—
48C4×C5×M16C2211yescharacteristic, complemented
49C5×#333C2212yescomplemented
50C5×#331C2212yescomplemented
51C5×Q8⋊C8C2212yescomplemented
52C5×D4⋊C8C2212yes—
53C5×D4⋊C8C2212yescomplemented
54C5×D4⋊C8C2212yescomplemented
55#18571C511yesmaximal, characteristic, direct product factor, Sylow
56C2×C5×#41—21no—
57C2×C5×#41D412yes—
58C22×C5×Q8—21no—
59C22×C5×D4—22no—
60C22×C5×D4—21no—
61C22×C5×D4—21no—
62C22×C5×D4D411yescharacteristic
63C23×C4×C5—21no—
64C2×C5×Q16—22no—
65C2×C5×SD16—22no—
66C2×C5×M16—21no—
67C22×C5×C8—21no—
68C5×C4⋊Q8—21no—
69C5×C4⋊Q8—21no—
70C5×C4⋊Q8—21no—
71C5×C4⋊Q8C2312yes—
72C5×C4⋊Q8C2311yescharacteristic
73C5×#127—21no—
74C5×#127C2311yescharacteristic
75C5×#126—22no—
76C5×#126—21no—
77C5×#125—21no—
78C5×#125D411yescharacteristic
79C5×#124—22no—
80C5×#124D412yes—
81C5×#124D411yescharacteristic
82C5×#123—22no—
83C5×#123—22no—
84C5×#123—22no—
85C5×#123—21no—
86C5×C22⋊Q8—21no—
87C5×C22⋊Q8—22no—
88C5×C22⋊Q8D411yescharacteristic
89C5×#121—22no—
90C5×#121—22no—
91C5×#121—22no—
92C5×#121—22no—
93C5×#121—21no—
94C5×#121—22no—
95C5×#121—21no—
96C5×#121—21no—
97C5×#121—21no—
98C5×#121—21no—
99C5×#121—21no—
100C5×#121—21no—
101C5×#121D411yescharacteristic
102C5×#120—22no—
103C5×#120—22no—
104C5×#120—22no—
105C4×C5×Q8C2311yescharacteristic
106C4×C5×D4—22no—
107C4×C5×D4—22no—
108C4×C5×D4—22no—
109C4×C5×D4—21no—
110C4×C5×D4—21no—
111C4×C5×D4—21no—
112C4×C5×D4—21no—
113C4×C5×D4—21no—
114C4×C5×D4—21no—
115C4×C5×D4—21no—
116C4×C5×D4D411yescharacteristic
117C4×C5×D4D411yescharacteristic
118C4×C5×D4C2311yescharacteristic
119C4×C5×D4C2311yescharacteristic
120C4×C5×D4C2311yescharacteristic
121C5×#117—21no—
122C5×#117—21no—
123C5×#117—21no—
124C2×C5×C4⋊C4—21no—
125C2×C5×C4⋊C4—21no—
126C2×C5×C4⋊C4—21no—
127C2×C5×C4⋊C4D411yescharacteristic
128C2×C5×C22⋊C4—22no—
129C2×C5×C22⋊C4—22no—
130C2×C5×C22⋊C4—21no—
131C2×C42×C5C2311yescharacteristic
132C5×#107—22no—
133C5×#107—22no—
134C5×C4⋊C8—21no—
135C5×C4⋊C8C2312yes—
136C5×C4⋊C8C2312yes—
137C5×#103—24no—
138C5×#103—22no—
139C5×#103—22no—
140C5×#102—22no—
141C5×#102—22no—
142C5×#102—24no—
143C5×C22⋊C8—21no—
144C5×#97—21no—
145C5×#97—21no—
146C4×C5×C8C2312yes—
147#3519C2×C511yescharacteristic
148#3218C2×C511yescharacteristic, complemented
149#3141C2×C511yescharacteristic, complemented
150C2×#474C2×C511yescharacteristic, complemented
151#1646C2×C512yescomplemented
152#1644C2×C512yescomplemented
153#1641C2×C512yescomplemented
154#1639C2×C512yescomplemented
155#1551C2×C511yescharacteristic, complemented
156#1490C2×C511yescharacteristic, complemented
157#1483C2×C511yescharacteristic, complemented
158C24×C5—22no—
159C24×C5—21no—
160C5×#41—44no—
161C5×#41—82no—
162C2×C5×Q8—22no—
163C2×C5×Q8—41no—
164C2×C5×Q8—82no—
165C2×C5×Q8C2×D411yescharacteristic
166C2×C5×Q8C2×D412yes—
167C2×C5×D4—22no—
168C2×C5×D4—22no—
169C2×C5×D4—22no—
170C2×C5×D4—21no—
171C2×C5×D4—22no—
172C2×C5×D4—22no—
173C2×C5×D4—22no—
174C2×C5×D4—22no—
175C2×C5×D4—21no—
176C2×C5×D4—21no—
177C2×C5×D4—21no—
178C2×C5×D4—41no—
179C2×C5×D4—42no—
180C2×C5×D4—42no—
181C2×C5×D4—82no—
182C2×C5×D4—84no—
183C2×C5×D4C2×D411yescharacteristic
184C2×C5×D4C2×D411yescharacteristic
185C2×C5×D4C2×D411yescharacteristic
186C2×C5×D4C2×D412yes—
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5—21no—
190C22×C4×C5—21no—
191C22×C4×C5—21no—
192C22×C4×C5—21no—
193C22×C4×C5—21no—
194C22×C4×C5—22no—
195C22×C4×C5—21no—
196C22×C4×C5—41no—
197C22×C4×C5—82no—
198C22×C4×C5C2×D411yescharacteristic
199C22×C4×C5C2×D411yescharacteristic
200C22×C4×C5C2×D411yescharacteristic
201C5×Q16—82no—
202C5×SD16—82no—
203C5×M16—42no—
204C2×C5×C8—22no—
205C2×C5×C8—22no—
206C2×C5×C8—22no—
207C2×C5×C8—42no—
208C5×C4⋊C4—22no—
209C5×C4⋊C4—22no—
210C5×C4⋊C4—21no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—21no—
213C5×C4⋊C4—21no—
214C5×C4⋊C4—21no—
215C5×C4⋊C4—21no—
216C5×C4⋊C4—21no—
217C5×C4⋊C4—22no—
218C5×C4⋊C4—22no—
219C5×C4⋊C4—41no—
220C5×C4⋊C4—41no—
221C5×C4⋊C4C2×D411yescharacteristic
222C5×C4⋊C4C2×D411yescharacteristic
223C5×C4⋊C4C2×D411yescharacteristic
224C5×C4⋊C4C2×D411yescharacteristic
225C5×C22⋊C4—22no—
226C5×C22⋊C4—22no—
227C5×C22⋊C4—22no—
228C5×C22⋊C4—22no—
229C5×C22⋊C4—22no—
230C5×C22⋊C4—21no—
231C5×C22⋊C4—21no—
232C5×C22⋊C4—21no—
233C5×C22⋊C4—21no—
234C5×C22⋊C4—22no—
235C5×C22⋊C4—21no—
236C5×C22⋊C4—21no—
237C5×C22⋊C4—22no—
238C5×C22⋊C4—21no—
239C5×C22⋊C4—21no—
240C5×C22⋊C4—21no—
241C42×C5—22no—
242C42×C5—21no—
243C42×C5C2×D411yescharacteristic
244C42×C5C2×D411yescharacteristic
245C42×C5C2×D411yescharacteristic
246C42×C5C2411yescharacteristic
247#555C22×C511yescharacteristic
248#554C22×C511yescharacteristic
249#553—21no—
250#553—21no—
251#550C22×C511yescharacteristic
252#546—22no—
253#546—21no—
254D42—21no—
255D42C22×C511yescharacteristic
256#540—21no—
257#538—22no—
258#532C22×C511yescharacteristic
259C2×C4⋊Q8C22×C511yescharacteristic, complemented
260#529C22×C511yescharacteristic
261#525—21no—
262C2×#121—21no—
263#518—21no—
264C2×C4×D4C22×C511yescharacteristic
265#497—21no—
266#491—21no—
267#489—22no—
268#487C22×C512yescomplemented
269#486C22×C512yescomplemented
270#474—21no—
271#474—21no—
272#474C22×C512yes—
273#474C22×C512yescomplemented
274#462C22×C512yescomplemented
275#461C22×C512yescomplemented
276#451—21no—
277#448—21no—
278#432C22×C511yescharacteristic, complemented
279C2×#107—21no—
280C2×C4⋊C8C22×C511yescharacteristic, complemented
281#417—22no—
282C2×#102—21no—
283C4×M16C22×C511yescharacteristic, complemented
284#333C22×C512yescomplemented
285#331C22×C512yescomplemented
286Q8⋊C8C22×C512yescomplemented
287D4⋊C8C22×C512yes—
288D4⋊C8C22×C512yescomplemented
289D4⋊C8C22×C512yescomplemented
290C23×C5—21no—
291C23×C5—21no—
292C23×C5—21no—
293C23×C5—22no—
294C23×C5—42no—
295C23×C5—44no—
296C23×C5—42no—
297C23×C5—81no—
298C23×C5—82no—
299C23×C5—82no—
300C23×C5#12011yescharacteristic
301C5×Q8—22no—
302C5×Q8—42no—
303C5×Q8—42no—
304C5×Q8—42no—
305C5×Q8—82no—
306C5×D4—21no—
307C5×D4—21no—
308C5×D4—21no—
309C5×D4—22no—
310C5×D4—42no—
311C5×D4—42no—
312C5×D4—44no—
313C5×D4—42no—
314C5×D4—44no—
315C5×D4—41no—
316C5×D4—41no—
317C5×D4—42no—
318C5×D4—82no—
319C5×D4—82no—
320C5×D4—82no—
321C5×D4—82no—
322C5×D4#13712yes—
323C2×C4×C5—22no—
324C2×C4×C5—21no—
325C2×C4×C5—21no—
326C2×C4×C5—22no—
327C2×C4×C5—21no—
328C2×C4×C5—21no—
329C2×C4×C5—21no—
330C2×C4×C5—22no—
331C2×C4×C5—21no—
332C2×C4×C5—21no—
333C2×C4×C5—41no—
334C2×C4×C5—41no—
335C2×C4×C5—42no—
336C2×C4×C5—42no—
337C2×C4×C5—42no—
338C2×C4×C5—81no—
339C2×C4×C5—81no—
340C2×C4×C5—82no—
341C2×C4×C5—81no—
342C2×C4×C5—82no—
343C2×C4×C5—82no—
344C2×C4×C5—82no—
345C2×C4×C5#12011yescharacteristic
346C2×C4×C5#12011yescharacteristic
347C2×C4×C5#12011yescharacteristic
348C2×C4×C5C22×D411yescharacteristic
349C2×C4×C5C22×D411yescharacteristic
350C2×C4×C5C22×D411yescharacteristic
351C5×C8—42no—
352C5×C8—42no—
353C5×C8—42no—
354C2×#41—21no—
355C2×#41C5×D412yes—
356C22×Q8—21no—
357C22×D4—22no—
358C22×D4—21no—
359C22×D4—21no—
360C22×D4C5×D411yescharacteristic
361C23×C4—21no—
362C2×Q16—22no—
363C2×SD16—22no—
364C2×M16—21no—
365C22×C8—21no—
366C4⋊Q8—21no—
367C4⋊Q8—21no—
368C4⋊Q8—21no—
369C4⋊Q8C23×C512yes—
370C4⋊Q8C23×C511yescharacteristic
371#127—21no—
372#127C23×C511yescharacteristic
373#126—22no—
374#126—21no—
375#125—21no—
376#125C5×D411yescharacteristic
377#124—22no—
378#124C5×D411yescharacteristic
379#124C5×D412yes—
380#123—22no—
381#123—22no—
382#123—22no—
383#123—21no—
384C22⋊Q8—21no—
385C22⋊Q8—22no—
386C22⋊Q8C5×D411yescharacteristic
387#121—22no—
388#121—22no—
389#121—22no—
390#121—22no—
391#121—21no—
392#121—22no—
393#121—21no—
394#121—21no—
395#121—21no—
396#121—21no—
397#121—21no—
398#121—21no—
399#121C5×D411yescharacteristic
400#120—22no—
401#120—22no—
402#120—22no—
403C4×Q8C23×C511yescharacteristic
404C4×D4—22no—
405C4×D4—22no—
406C4×D4—22no—
407C4×D4—21no—
408C4×D4—21no—
409C4×D4—21no—
410C4×D4—21no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4—21no—
414C4×D4C5×D411yescharacteristic
415C4×D4C5×D411yescharacteristic
416C4×D4C23×C511yescharacteristic
417C4×D4C23×C511yescharacteristic
418C4×D4C23×C511yescharacteristic
419#117—21no—
420#117—21no—
421#117—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4C5×D411yescharacteristic
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—21no—
429C2×C42C23×C511yescharacteristic
430#107—22no—
431#107—22no—
432C4⋊C8—21no—
433C4⋊C8C23×C512yes—
434C4⋊C8C23×C512yes—
435#103—24no—
436#103—22no—
437#103—22no—
438#102—22no—
439#102—22no—
440#102—24no—
441C22⋊C8—21no—
442#97—21no—
443#97—21no—
444C4×C8C23×C512yes—
445C22×C5—21no—
446C22×C5—21no—
447C22×C5—22no—
448C22×C5—41no—
449C22×C5—41no—
450C22×C5—41no—
451C22×C5—41no—
452C22×C5—42no—
453C22×C5—41no—
454C22×C5—42no—
455C22×C5—41no—
456C22×C5—42no—
457C22×C5—41no—
458C22×C5—41no—
459C22×C5—84no—
460C22×C5—164no—
461C22×C5#45512yes—
462C22×C5C2×#12011yescharacteristic
463C4×C5—21no—
464C4×C5—21no—
465C4×C5—21no—
466C4×C5—21no—
467C4×C5—41no—
468C4×C5—41no—
469C4×C5—41no—
470C4×C5—41no—
471C4×C5—41no—
472C4×C5—42no—
473C4×C5—82no—
474C4×C5C2×#13711yescharacteristic
475C4×C5#57511yescharacteristic
476C4×C5#57612yes—
477C24—22no—
478C24—21no—
479#41—44no—
480#41—82no—
481C2×Q8—22no—
482C2×Q8—41no—
483C2×Q8—82no—
484C2×Q8C2×C5×D411yescharacteristic
485C2×Q8C2×C5×D412yes—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—21no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—41no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—82no—
501C2×D4—84no—
502C2×D4C2×C5×D411yescharacteristic
503C2×D4C2×C5×D411yescharacteristic
504C2×D4C2×C5×D411yescharacteristic
505C2×D4C2×C5×D412yes—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—41no—
516C22×C4—82no—
517C22×C4C2×C5×D411yescharacteristic
518C22×C4C2×C5×D411yescharacteristic
519C22×C4C2×C5×D411yescharacteristic
520Q16—82no—
521SD16—82no—
522M16—42no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—42no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4C2×C5×D411yescharacteristic
541C4⋊C4C2×C5×D411yescharacteristic
542C4⋊C4C2×C5×D411yescharacteristic
543C4⋊C4C2×C5×D411yescharacteristic
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—21no—
550C22⋊C4—21no—
551C22⋊C4—21no—
552C22⋊C4—21no—
553C22⋊C4—22no—
554C22⋊C4—21no—
555C22⋊C4—21no—
556C22⋊C4—22no—
557C22⋊C4—21no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C42—22no—
561C42—21no—
562C42C2×C5×D411yescharacteristic
563C42C2×C5×D411yescharacteristic
564C42C2×C5×D411yescharacteristic
565C42C24×C511yescharacteristic
566C2×C5—22no—
567C2×C5—42no—
568C2×C5—81no—
569C2×C5—82no—
570C2×C5—81no—
571C2×C5#300711yescharacteristic
572C2×C5#300811yescharacteristic
573C2×C5C2×#45511yescharacteristic
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—42no—
579C23—44no—
580C23—42no—
581C23—81no—
582C23—82no—
583C23—82no—
584C23C5×#12011yescharacteristic
585Q8—22no—
586Q8—42no—
587Q8—42no—
588Q8—42no—
589Q8—82no—
590D4—21no—
591D4—21no—
592D4—21no—
593D4—22no—
594D4—42no—
595D4—42no—
596D4—44no—
597D4—42no—
598D4—44no—
599D4—41no—
600D4—41no—
601D4—42no—
602D4—82no—
603D4—82no—
604D4—82no—
605D4—82no—
606D4C5×#13712yes—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—81no—
623C2×C4—81no—
624C2×C4—82no—
625C2×C4—81no—
626C2×C4—82no—
627C2×C4—82no—
628C2×C4—82no—
629C2×C4C5×#12011yescharacteristic
630C2×C4C5×#12011yescharacteristic
631C2×C4C5×#12011yescharacteristic
632C2×C4C22×C5×D411yescharacteristic
633C2×C4C22×C5×D411yescharacteristic
634C2×C4C22×C5×D411yescharacteristic
635C8—42no—
636C8—42no—
637C8—42no—
638C5#1857111yescharacteristic, direct product factor, Sylow
639C22—21no—
640C22—21no—
641C22—22no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—42no—
647C22—41no—
648C22—42no—
649C22—41no—
650C22—42no—
651C22—41no—
652C22—41no—
653C22—84no—
654C22—164no—
655C22C5×#45512yes—
656C22C2×C5×#12011yescharacteristic
657C4—21no—
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—42no—
667C4—82no—
668C4C2×C5×#13711yescharacteristic
669C4C5×#57511yescharacteristic
670C4C5×#57612yes—
671C2—22no—
672C2—42no—
673C2—81no—
674C2—81no—
675C2—82no—
676C2C5×#300711yescharacteristic
677C2C5×#300811yescharacteristic
678C2C2×C5×#45511yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC42C24×C5
prime radicalC5×#3519C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C5 ◁ C2×C42×C5 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C5×#3218C2semidirect
3. C5×#3141C2semidirect
4. C2×C5×#474C2semidirect
5. C5×#1646C2semidirect
6. C5×#1644C2semidirect
7. C5×#1641C2semidirect
8. C5×#1639C2semidirect
9. C5×#1551C2semidirect
10. C5×#1490C2semidirect
11. C5×#1483C2semidirect
24. C2×C5×C4⋊Q8C22semidirect
33. C5×#487C22semidirect
34. C5×#486C22semidirect
38. C5×#474C22semidirect
39. C5×#462C22semidirect
40. C5×#461C22semidirect
43. C5×#432C22semidirect
45. C2×C5×C4⋊C8C22semidirect
48. C4×C5×M16C22semidirect
49. C5×#333C22semidirect
50. C5×#331C22semidirect
51. C5×Q8⋊C8C22semidirect
53. C5×D4⋊C8C22semidirect
54. C5×D4⋊C8C22semidirect
55. #18571C5direct (N × H)
148. #3218C2×C5semidirect
149. #3141C2×C5semidirect
150. C2×#474C2×C5semidirect
151. #1646C2×C5semidirect
152. #1644C2×C5semidirect
153. #1641C2×C5semidirect
154. #1639C2×C5semidirect
155. #1551C2×C5semidirect
156. #1490C2×C5semidirect
157. #1483C2×C5semidirect
259. C2×C4⋊Q8C22×C5semidirect
268. #487C22×C5semidirect
269. #486C22×C5semidirect
273. #474C22×C5semidirect
274. #462C22×C5semidirect
275. #461C22×C5semidirect
278. #432C22×C5semidirect
280. C2×C4⋊C8C22×C5semidirect
283. C4×M16C22×C5semidirect
284. #333C22×C5semidirect
285. #331C22×C5semidirect
286. Q8⋊C8C22×C5semidirect
288. D4⋊C8C22×C5semidirect
289. D4⋊C8C22×C5semidirect
638. C5#18571direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35192
C5×#32182
C5×#31412
C2×C5×#4742
C5×#16462
C5×#16442
C5×#16412
C5×#16392
C5×#15512
C5×#14902
C5×#14832
#185715