Finite Group Databasebeta

← C5×#18563 #11941283

Subgroups — C5×#18563 #11941283

Order 1280.

1060 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×#3238C211yesmaximal, characteristic, complemented
3C5×#3152C211yesmaximal, characteristic, complemented
4C2×C5×#476C211yesmaximal, characteristic, complemented
5C5×#1634C212yesmaximal, complemented
6C5×#1632C212yesmaximal, complemented
7C5×#1631C212yesmaximal, complemented
8C5×#1629C212yesmaximal, complemented
9C5×#1551C211yesmaximal, characteristic, complemented
10C5×#1490C211yesmaximal, characteristic, complemented
11C5×#1483C211yesmaximal, characteristic, complemented
12C2×C5×#137—22no—
13C5×#555C2211yescharacteristic
14C5×#554C2211yescharacteristic
15C5×#553—21no—
16C5×#553—21no—
17C5×#550C2211yescharacteristic
18C5×#546—22no—
19C5×#546—21no—
20C5×D42—21no—
21C5×D42C2211yescharacteristic
22C5×#540—21no—
23C5×#538—22no—
24C5×#532C2211yescharacteristic
25C2×C5×C4⋊Q8C2211yescharacteristic, complemented
26C5×#529C2211yescharacteristic
27C5×#525—21no—
28C2×C5×#121—21no—
29C5×#518—21no—
30C2×C4×C5×D4C2211yescharacteristic
31C5×#501—21no—
32C5×#497—22no—
33C5×#494C2212yescomplemented
34C5×#492C2212yescomplemented
35C5×#489—21no—
36C5×#483—21no—
37C5×#480—21no—
38C5×#477C2212yescomplemented
39C5×#476—21no—
40C5×#476—21no—
41C5×#476C2212yes—
42C5×#476C2212yescomplemented
43C5×#476C2212yescomplemented
44C5×#432C2211yescharacteristic, complemented
45C2×C5×#106—21no—
46C2×C5×C4⋊C8C2211yescharacteristic, complemented
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#18563C511yesmaximal, 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—
64C5×#137—48no—
65C2×C5×Q16—24no—
66C2×C5×SD16—24no—
67C2×C5×M16—21no—
68C22×C5×C8—21no—
69C5×C4⋊Q8—21no—
70C5×C4⋊Q8—21no—
71C5×C4⋊Q8—21no—
72C5×C4⋊Q8C2312yes—
73C5×C4⋊Q8C2311yescharacteristic
74C5×#127—21no—
75C5×#127C2311yescharacteristic
76C5×#126—22no—
77C5×#126—21no—
78C5×#125—21no—
79C5×#125D411yescharacteristic
80C5×#124—22no—
81C5×#124D411yescharacteristic
82C5×#124D412yes—
83C5×#123—22no—
84C5×#123—22no—
85C5×#123—22no—
86C5×#123—21no—
87C5×C22⋊Q8—21no—
88C5×C22⋊Q8—22no—
89C5×C22⋊Q8D411yescharacteristic
90C5×#121—22no—
91C5×#121—22no—
92C5×#121—22no—
93C5×#121—22no—
94C5×#121—21no—
95C5×#121—22no—
96C5×#121—21no—
97C5×#121—21no—
98C5×#121—21no—
99C5×#121—21no—
100C5×#121—21no—
101C5×#121—21no—
102C5×#121D411yescharacteristic
103C5×#120—22no—
104C5×#120—22no—
105C5×#120—22no—
106C4×C5×Q8C2311yescharacteristic
107C4×C5×D4—22no—
108C4×C5×D4—22no—
109C4×C5×D4—22no—
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×D4—21no—
117C4×C5×D4D411yescharacteristic
118C4×C5×D4D411yescharacteristic
119C4×C5×D4C2311yescharacteristic
120C4×C5×D4C2311yescharacteristic
121C4×C5×D4C2311yescharacteristic
122C5×#117—21no—
123C5×#117—21no—
124C5×#117—21no—
125C2×C5×C4⋊C4—21no—
126C2×C5×C4⋊C4—21no—
127C2×C5×C4⋊C4—21no—
128C2×C5×C4⋊C4D411yescharacteristic
129C2×C5×C22⋊C4—22no—
130C2×C5×C22⋊C4—22no—
131C2×C5×C22⋊C4—21no—
132C2×C42×C5C2311yescharacteristic
133C5×#107—22no—
134C5×#106—22no—
135C5×#106—22no—
136C5×#106—22no—
137C5×C4⋊C8—21no—
138C5×C4⋊C8C2312yes—
139C5×C4⋊C8C2312yes—
140C5×#103—22no—
141C5×#102—22no—
142C5×#102—22no—
143C5×#102—22no—
144C5×C22⋊C8—21no—
145C5×#97—21no—
146C5×#97—21no—
147C4×C5×C8C2312yes—
148#3519C2×C511yescharacteristic
149#3238C2×C511yescharacteristic, complemented
150#3152C2×C511yescharacteristic, complemented
151C2×#476C2×C511yescharacteristic, complemented
152#1634C2×C512yescomplemented
153#1632C2×C512yescomplemented
154#1631C2×C512yescomplemented
155#1629C2×C512yescomplemented
156#1551C2×C511yescharacteristic, complemented
157#1490C2×C511yescharacteristic, complemented
158#1483C2×C511yescharacteristic, complemented
159C24×C5—22no—
160C24×C5—21no—
161C5×#41—44no—
162C5×#41—82no—
163C2×C5×Q8—22no—
164C2×C5×Q8—44no—
165C2×C5×Q8—41no—
166C2×C5×Q8C2×D411yescharacteristic
167C2×C5×Q8C2×D412yes—
168C2×C5×D4—22no—
169C2×C5×D4—22no—
170C2×C5×D4—22no—
171C2×C5×D4—21no—
172C2×C5×D4—22no—
173C2×C5×D4—22no—
174C2×C5×D4—22no—
175C2×C5×D4—22no—
176C2×C5×D4—21no—
177C2×C5×D4—21no—
178C2×C5×D4—21no—
179C2×C5×D4—41no—
180C2×C5×D4—42no—
181C2×C5×D4—42no—
182C2×C5×D4—82no—
183C2×C5×D4—84no—
184C2×C5×D4C2×D411yescharacteristic
185C2×C5×D4C2×D411yescharacteristic
186C2×C5×D4C2×D411yescharacteristic
187C2×C5×D4C2×D412yes—
188C22×C4×C5—22no—
189C22×C4×C5—22no—
190C22×C4×C5—21no—
191C22×C4×C5—21no—
192C22×C4×C5—21no—
193C22×C4×C5—21no—
194C22×C4×C5—21no—
195C22×C4×C5—22no—
196C22×C4×C5—21no—
197C22×C4×C5—41no—
198C22×C4×C5—82no—
199C22×C4×C5C2×D411yescharacteristic
200C22×C4×C5C2×D411yescharacteristic
201C22×C4×C5C2×D411yescharacteristic
202C5×Q16—48no—
203C5×SD16—48no—
204C5×M16—24no—
205C2×C5×C8—22no—
206C2×C5×C8—22no—
207C2×C5×C8—22no—
208C2×C5×C8—42no—
209C5×C4⋊C4—22no—
210C5×C4⋊C4—22no—
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—21no—
218C5×C4⋊C4—22no—
219C5×C4⋊C4—22no—
220C5×C4⋊C4—41no—
221C5×C4⋊C4—41no—
222C5×C4⋊C4C2×D411yescharacteristic
223C5×C4⋊C4C2×D411yescharacteristic
224C5×C4⋊C4C2×D411yescharacteristic
225C5×C4⋊C4C2×D411yescharacteristic
226C5×C22⋊C4—22no—
227C5×C22⋊C4—22no—
228C5×C22⋊C4—22no—
229C5×C22⋊C4—22no—
230C5×C22⋊C4—22no—
231C5×C22⋊C4—21no—
232C5×C22⋊C4—21no—
233C5×C22⋊C4—21no—
234C5×C22⋊C4—21no—
235C5×C22⋊C4—22no—
236C5×C22⋊C4—21no—
237C5×C22⋊C4—21no—
238C5×C22⋊C4—22no—
239C5×C22⋊C4—21no—
240C5×C22⋊C4—21no—
241C5×C22⋊C4—21no—
242C42×C5—22no—
243C42×C5—21no—
244C42×C5C2×D411yescharacteristic
245C42×C5C2×D411yescharacteristic
246C42×C5C2×D411yescharacteristic
247C42×C5C2411yescharacteristic
248C2×#137—22no—
249#555C22×C511yescharacteristic
250#554C22×C511yescharacteristic
251#553—21no—
252#553—21no—
253#550C22×C511yescharacteristic
254#546—22no—
255#546—21no—
256D42—21no—
257D42C22×C511yescharacteristic
258#540—21no—
259#538—22no—
260#532C22×C511yescharacteristic
261C2×C4⋊Q8C22×C511yescharacteristic, complemented
262#529C22×C511yescharacteristic
263#525—21no—
264C2×#121—21no—
265#518—21no—
266C2×C4×D4C22×C511yescharacteristic
267#501—21no—
268#497—22no—
269#494C22×C512yescomplemented
270#492C22×C512yescomplemented
271#489—21no—
272#483—21no—
273#480—21no—
274#477C22×C512yescomplemented
275#476—21no—
276#476—21no—
277#476C22×C512yes—
278#476C22×C512yescomplemented
279#476C22×C512yescomplemented
280#432C22×C511yescharacteristic, complemented
281C2×#106—21no—
282C2×C4⋊C8C22×C511yescharacteristic, complemented
283C2×#102—21no—
284C4×M16C22×C511yescharacteristic, complemented
285#333C22×C512yescomplemented
286#331C22×C512yescomplemented
287Q8⋊C8C22×C512yescomplemented
288D4⋊C8C22×C512yes—
289D4⋊C8C22×C512yescomplemented
290D4⋊C8C22×C512yescomplemented
291C23×C5—21no—
292C23×C5—21no—
293C23×C5—21no—
294C23×C5—22no—
295C23×C5—42no—
296C23×C5—44no—
297C23×C5—42no—
298C23×C5—81no—
299C23×C5—82no—
300C23×C5—82no—
301C23×C5#12011yescharacteristic
302C5×Q8—22no—
303C5×Q8—42no—
304C5×Q8—44no—
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#13712yescomplemented
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—24no—
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—
362#137—48no—
363C2×Q16—24no—
364C2×SD16—24no—
365C2×M16—21no—
366C22×C8—21no—
367C4⋊Q8—21no—
368C4⋊Q8—21no—
369C4⋊Q8—21no—
370C4⋊Q8C23×C512yes—
371C4⋊Q8C23×C511yescharacteristic
372#127—21no—
373#127C23×C511yescharacteristic
374#126—22no—
375#126—21no—
376#125—21no—
377#125C5×D411yescharacteristic
378#124—22no—
379#124C5×D411yescharacteristic
380#124C5×D412yes—
381#123—22no—
382#123—22no—
383#123—22no—
384#123—21no—
385C22⋊Q8—21no—
386C22⋊Q8—22no—
387C22⋊Q8C5×D411yescharacteristic
388#121—22no—
389#121—22no—
390#121—22no—
391#121—22no—
392#121—21no—
393#121—22no—
394#121—21no—
395#121—21no—
396#121—21no—
397#121—21no—
398#121—21no—
399#121—21no—
400#121C5×D411yescharacteristic
401#120—22no—
402#120—22no—
403#120—22no—
404C4×Q8C23×C511yescharacteristic
405C4×D4—22no—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4—21no—
409C4×D4—21no—
410C4×D4—21no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4—21no—
414C4×D4—21no—
415C4×D4C5×D411yescharacteristic
416C4×D4C5×D411yescharacteristic
417C4×D4C23×C511yescharacteristic
418C4×D4C23×C511yescharacteristic
419C4×D4C23×C511yescharacteristic
420#117—21no—
421#117—21no—
422#117—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4C5×D411yescharacteristic
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—21no—
430C2×C42C23×C511yescharacteristic
431#107—22no—
432#106—22no—
433#106—22no—
434#106—22no—
435C4⋊C8—21no—
436C4⋊C8C23×C512yes—
437C4⋊C8C23×C512yes—
438#103—22no—
439#102—22no—
440#102—22no—
441#102—22no—
442C22⋊C8—21no—
443#97—21no—
444#97—21no—
445C4×C8C23×C512yes—
446C22×C5—21no—
447C22×C5—21no—
448C22×C5—22no—
449C22×C5—41no—
450C22×C5—41no—
451C22×C5—41no—
452C22×C5—41no—
453C22×C5—42no—
454C22×C5—41no—
455C22×C5—42no—
456C22×C5—41no—
457C22×C5—42no—
458C22×C5—41no—
459C22×C5—41no—
460C22×C5—84no—
461C22×C5—164no—
462C22×C5#45312yes—
463C22×C5C2×#12011yescharacteristic
464C4×C5—21no—
465C4×C5—21no—
466C4×C5—21no—
467C4×C5—21no—
468C4×C5—41no—
469C4×C5—41no—
470C4×C5—41no—
471C4×C5—41no—
472C4×C5—41no—
473C4×C5—42no—
474C4×C5—82no—
475C4×C5C2×#13711yescharacteristic
476C4×C5#57511yescharacteristic
477C4×C5#57712yes—
478C24—22no—
479C24—21no—
480#41—44no—
481#41—82no—
482C2×Q8—22no—
483C2×Q8—44no—
484C2×Q8—41no—
485C2×Q8C2×C5×D411yescharacteristic
486C2×Q8C2×C5×D412yes—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—21no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—41no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—82no—
502C2×D4—84no—
503C2×D4C2×C5×D411yescharacteristic
504C2×D4C2×C5×D411yescharacteristic
505C2×D4C2×C5×D411yescharacteristic
506C2×D4C2×C5×D412yes—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—41no—
517C22×C4—82no—
518C22×C4C2×C5×D411yescharacteristic
519C22×C4C2×C5×D411yescharacteristic
520C22×C4C2×C5×D411yescharacteristic
521Q16—48no—
522SD16—48no—
523M16—24no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—42no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—41no—
540C4⋊C4—41no—
541C4⋊C4C2×C5×D411yescharacteristic
542C4⋊C4C2×C5×D411yescharacteristic
543C4⋊C4C2×C5×D411yescharacteristic
544C4⋊C4C2×C5×D411yescharacteristic
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—21no—
551C22⋊C4—21no—
552C22⋊C4—21no—
553C22⋊C4—21no—
554C22⋊C4—22no—
555C22⋊C4—21no—
556C22⋊C4—21no—
557C22⋊C4—22no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—21no—
561C42—22no—
562C42—21no—
563C42C2×C5×D411yescharacteristic
564C42C2×C5×D411yescharacteristic
565C42C2×C5×D411yescharacteristic
566C42C24×C511yescharacteristic
567C2×C5—22no—
568C2×C5—42no—
569C2×C5—81no—
570C2×C5—82no—
571C2×C5—81no—
572C2×C5#300711yescharacteristic
573C2×C5#300911yescharacteristic
574C2×C5C2×#45311yescharacteristic
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—42no—
580C23—44no—
581C23—42no—
582C23—81no—
583C23—82no—
584C23—82no—
585C23C5×#12011yescharacteristic
586Q8—22no—
587Q8—42no—
588Q8—44no—
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×#13712yescomplemented
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—24no—
636C8—42no—
637C8—42no—
638C5#1856311yescharacteristic, 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×#45312yes—
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×#57712yes—
671C2—22no—
672C2—42no—
673C2—81no—
674C2—81no—
675C2—82no—
676C2C5×#300711yescharacteristic
677C2C5×#300911yescharacteristic
678C2C2×C5×#45311yescharacteristic
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×#3238C2semidirect
3. C5×#3152C2semidirect
4. C2×C5×#476C2semidirect
5. C5×#1634C2semidirect
6. C5×#1632C2semidirect
7. C5×#1631C2semidirect
8. C5×#1629C2semidirect
9. C5×#1551C2semidirect
10. C5×#1490C2semidirect
11. C5×#1483C2semidirect
25. C2×C5×C4⋊Q8C22semidirect
33. C5×#494C22semidirect
34. C5×#492C22semidirect
38. C5×#477C22semidirect
42. C5×#476C22semidirect
43. C5×#476C22semidirect
44. C5×#432C22semidirect
46. 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. #18563C5direct (N × H)
149. #3238C2×C5semidirect
150. #3152C2×C5semidirect
151. C2×#476C2×C5semidirect
152. #1634C2×C5semidirect
153. #1632C2×C5semidirect
154. #1631C2×C5semidirect
155. #1629C2×C5semidirect
156. #1551C2×C5semidirect
157. #1490C2×C5semidirect
158. #1483C2×C5semidirect
261. C2×C4⋊Q8C22×C5semidirect
269. #494C22×C5semidirect
270. #492C22×C5semidirect
274. #477C22×C5semidirect
278. #476C22×C5semidirect
279. #476C22×C5semidirect
280. #432C22×C5semidirect
282. C2×C4⋊C8C22×C5semidirect
284. C4×M16C22×C5semidirect
285. #333C22×C5semidirect
286. #331C22×C5semidirect
287. Q8⋊C8C22×C5semidirect
289. D4⋊C8C22×C5semidirect
290. D4⋊C8C22×C5semidirect
322. C5×D4#137semidirect
606. D4C5×#137semidirect
638. C5#18563direct (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×#32382
C5×#31522
C2×C5×#4762
C5×#16342
C5×#16322
C5×#16312
C5×#16292
C5×#15512
C5×#14902
C5×#14832
#185635