Finite Group Databasebeta

← C5×#24945 #11947665

Subgroups — C5×#24945 #11947665

Order 1280.

796 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2486C211yesmaximal, characteristic
2C5×#2352C211yesmaximal, characteristic
3C5×#2101C211yesmaximal, characteristic, complemented
4C5×#2085C211yesmaximal, characteristic, complemented
5C5×#2077C211yesmaximal, characteristic, complemented
6C5×#2076C211yesmaximal, characteristic, complemented
7C5×#1921C211yesmaximal, characteristic, complemented
8C5×#1920C211yesmaximal, characteristic, complemented
9C5×#1869C211yesmaximal, characteristic
10C5×#1854C211yesmaximal, characteristic, complemented
11C5×#1852C211yesmaximal, characteristic, complemented
12C5×#1825C211yesmaximal, characteristic, complemented
13C5×#1823C211yesmaximal, characteristic, complemented
14C5×#1807C211yesmaximal, characteristic, complemented
15C2×C5×#340C211yesmaximal, characteristic, complemented
16C23×C5×C8C2211yescharacteristic
17C2×C5×#123—21no—
18C2×C4×C5×D4C2211yescharacteristic
19C2×C5×#117C2211yescharacteristic
20C22×C5×C4⋊C4C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C2×C5×#107C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#106C2211yescharacteristic
25C2×C5×#106C2211yescharacteristic
26C2×C5×C22⋊C8C2211yescharacteristic
27C2×C5×C22⋊C8C2211yescharacteristic
28C2×C5×C22⋊C8C2211yescharacteristic
29C5×#398—21no—
30C5×#397—21no—
31C5×#389C2211yescharacteristic
32C5×#389C2211yescharacteristic
33C5×#388—21no—
34C5×#387—21no—
35C5×#386—21no—
36C5×#382C2211yescharacteristic
37C5×#381—21no—
38C5×#380C2211yescharacteristic
39C5×#380C2211yescharacteristic
40C5×#380C2211yescharacteristic
41C5×#380C2211yescharacteristic
42C5×#380C2211yescharacteristic
43C4×C5×C4⋊C4C2211yescharacteristic
44C4×C5×C22⋊C4—21no—
45C5×#340C2211yescharacteristic
46C5×#340C2211yescharacteristic
47C5×#340C2211yescharacteristic
48C5×#340C2211yescharacteristic
49C5×#340C2211yescharacteristic
50C5×#340C2211yescharacteristic
51C5×#340C2211yescharacteristic
52C5×#340C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59#24945C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×D4D411yescharacteristic
61C23×C4×C5—21no—
62C23×C4×C5—21no—
63C23×C4×C5C2311yescharacteristic
64C23×C4×C5C2311yescharacteristic
65C22×C5×C8—22no—
66C22×C5×C8—22no—
67C22×C5×C8—41no—
68C22×C5×C8C2311yescharacteristic
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C5×#123—44no—
73C4×C5×D4—22no—
74C4×C5×D4—22no—
75C5×#117—22no—
76C5×#117—41no—
77C2×C5×C4⋊C4—22no—
78C2×C5×C4⋊C4—22no—
79C2×C5×C4⋊C4—22no—
80C2×C5×C4⋊C4—21no—
81C2×C5×C4⋊C4—21no—
82C2×C5×C4⋊C4—21no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4—41no—
85C2×C5×C4⋊C4D411yescharacteristic
86C2×C5×C4⋊C4C2311yescharacteristic
87C2×C5×C4⋊C4C2311yescharacteristic
88C2×C5×C4⋊C4C2311yescharacteristic
89C2×C5×C4⋊C4C2311yescharacteristic
90C2×C5×C4⋊C4C2311yescharacteristic
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C22⋊C4—21no—
95C2×C5×C22⋊C4—21no—
96C2×C5×C22⋊C4—21no—
97C2×C5×C22⋊C4—21no—
98C2×C5×C22⋊C4—21no—
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4D411yescharacteristic
101C2×C5×C22⋊C4D411yescharacteristic
102C2×C42×C5—21no—
103C2×C42×C5—21no—
104C2×C42×C5C2311yescharacteristic
105C5×#107—22no—
106C5×#107—41no—
107C5×#106—22no—
108C5×#106—41no—
109C5×C22⋊C8—22no—
110C5×C22⋊C8—22no—
111C5×C22⋊C8—41no—
112C5×#95—21no—
113C5×#95—21no—
114C5×#95—21no—
115C5×#95—21no—
116C5×#95—21no—
117C5×#95—21no—
118C5×#95—21no—
119C5×#95—21no—
120C5×#95—21no—
121C5×#95—21no—
122#2486C2×C511yescharacteristic
123#2352C2×C511yescharacteristic
124#2101C2×C511yescharacteristic, complemented
125#2085C2×C511yescharacteristic, complemented
126#2077C2×C511yescharacteristic, complemented
127#2076C2×C511yescharacteristic, complemented
128#1921C2×C511yescharacteristic, complemented
129#1920C2×C511yescharacteristic, complemented
130#1869C2×C511yescharacteristic
131#1854C2×C511yescharacteristic, complemented
132#1852C2×C511yescharacteristic, complemented
133#1825C2×C511yescharacteristic, complemented
134#1823C2×C511yescharacteristic, complemented
135#1807C2×C511yescharacteristic, complemented
136C2×#340C2×C511yescharacteristic, complemented
137C24×C5C2×D411yescharacteristic
138C24×C5C2×D411yescharacteristic
139C2×C5×D4—22no—
140C2×C5×D4—22no—
141C2×C5×D4—22no—
142C22×C4×C5—21no—
143C22×C4×C5—21no—
144C22×C4×C5—21no—
145C22×C4×C5—21no—
146C22×C4×C5—21no—
147C22×C4×C5—21no—
148C22×C4×C5—21no—
149C22×C4×C5—21no—
150C22×C4×C5—21no—
151C22×C4×C5—21no—
152C22×C4×C5—21no—
153C22×C4×C5—21no—
154C22×C4×C5—21no—
155C22×C4×C5—21no—
156C22×C4×C5—21no—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—21no—
160C22×C4×C5—42no—
161C22×C4×C5—42no—
162C22×C4×C5—42no—
163C22×C4×C5—42no—
164C22×C4×C5—42no—
165C22×C4×C5—81no—
166C22×C4×C5C2×D411yescharacteristic
167C22×C4×C5C2×D411yescharacteristic
168C22×C4×C5C2×D411yescharacteristic
169C22×C4×C5C2×D411yescharacteristic
170C22×C4×C5#4112yes—
171C22×C4×C5#4112yes—
172C22×C4×C5C2411yescharacteristic
173C2×C5×C8—21no—
174C2×C5×C8—21no—
175C2×C5×C8—21no—
176C2×C5×C8—21no—
177C2×C5×C8—21no—
178C2×C5×C8—21no—
179C2×C5×C8—21no—
180C2×C5×C8—21no—
181C2×C5×C8—21no—
182C2×C5×C8—21no—
183C2×C5×C8—21no—
184C2×C5×C8—44no—
185C2×C5×C8#4112yes—
186C5×C4⋊C4—22no—
187C5×C4⋊C4—21no—
188C5×C4⋊C4—21no—
189C5×C4⋊C4—21no—
190C5×C4⋊C4—21no—
191C5×C4⋊C4—21no—
192C5×C4⋊C4—21no—
193C5×C4⋊C4—21no—
194C5×C4⋊C4—21no—
195C5×C4⋊C4—21no—
196C5×C4⋊C4—21no—
197C5×C4⋊C4—21no—
198C5×C4⋊C4—21no—
199C5×C4⋊C4—21no—
200C5×C4⋊C4—21no—
201C5×C4⋊C4—21no—
202C5×C4⋊C4—42no—
203C5×C4⋊C4—42no—
204C5×C4⋊C4—42no—
205C5×C4⋊C4—42no—
206C5×C4⋊C4#4112yes—
207C5×C22⋊C4—22no—
208C5×C22⋊C4—22no—
209C5×C22⋊C4—42no—
210C5×C22⋊C4—42no—
211C5×C22⋊C4—42no—
212C5×C22⋊C4—42no—
213C5×C22⋊C4—42no—
214C5×C22⋊C4—81no—
215C42×C5—21no—
216C42×C5—21no—
217C42×C5—42no—
218C42×C5—81no—
219C23×C8C22×C511yescharacteristic
220C2×#123—21no—
221C2×C4×D4C22×C511yescharacteristic
222C2×#117C22×C511yescharacteristic
223C22×C4⋊C4C22×C511yescharacteristic
224C22×C4⋊C4C22×C511yescharacteristic
225C2×#107C22×C511yescharacteristic
226C2×#107C22×C511yescharacteristic
227C2×#106C22×C511yescharacteristic
228C2×#106C22×C511yescharacteristic
229C2×C22⋊C8C22×C511yescharacteristic
230C2×C22⋊C8C22×C511yescharacteristic
231C2×C22⋊C8C22×C511yescharacteristic
232#398—21no—
233#397—21no—
234#389C22×C511yescharacteristic
235#389C22×C511yescharacteristic
236#388—21no—
237#387—21no—
238#386—21no—
239#382C22×C511yescharacteristic
240#381—21no—
241#380C22×C511yescharacteristic
242#380C22×C511yescharacteristic
243#380C22×C511yescharacteristic
244#380C22×C511yescharacteristic
245#380C22×C511yescharacteristic
246C4×C4⋊C4C22×C511yescharacteristic
247C4×C22⋊C4—21no—
248#340C22×C511yescharacteristic
249#340C22×C511yescharacteristic
250#340C22×C511yescharacteristic
251#340C22×C511yescharacteristic
252#340C22×C511yescharacteristic
253#340C22×C511yescharacteristic
254#340C22×C511yescharacteristic
255#340C22×C511yescharacteristic
256#340C22×C511yescharacteristic
257#340C22×C511yescharacteristic
258#340C22×C511yescharacteristic
259#340C22×C511yescharacteristic
260#336C22×C511yescharacteristic
261#336C22×C511yescharacteristic
262C23×C5—21no—
263C23×C5—21no—
264C23×C5—21no—
265C23×C5—21no—
266C23×C5—21no—
267C23×C5—21no—
268C23×C5—21no—
269C23×C5—21no—
270C23×C5—21no—
271C23×C5—21no—
272C23×C5—21no—
273C23×C5#12312yes—
274C23×C5#13512yes—
275C23×C5AGL(1,ℤ/8)12yes—
276C23×C5C22×D411yescharacteristic
277C5×D4—44no—
278C2×C4×C5—21no—
279C2×C4×C5—21no—
280C2×C4×C5—22no—
281C2×C4×C5—22no—
282C2×C4×C5—22no—
283C2×C4×C5—22no—
284C2×C4×C5—21no—
285C2×C4×C5—21no—
286C2×C4×C5—21no—
287C2×C4×C5—21no—
288C2×C4×C5—22no—
289C2×C4×C5—21no—
290C2×C4×C5—21no—
291C2×C4×C5—21no—
292C2×C4×C5—21no—
293C2×C4×C5—21no—
294C2×C4×C5—41no—
295C2×C4×C5—41no—
296C2×C4×C5—41no—
297C2×C4×C5—41no—
298C2×C4×C5—41no—
299C2×C4×C5—41no—
300C2×C4×C5—41no—
301C2×C4×C5—41no—
302C2×C4×C5—41no—
303C2×C4×C5—41no—
304C2×C4×C5—41no—
305C2×C4×C5—41no—
306C2×C4×C5—41no—
307C2×C4×C5—41no—
308C2×C4×C5—41no—
309C2×C4×C5—41no—
310C2×C4×C5—41no—
311C2×C4×C5—41no—
312C2×C4×C5—41no—
313C2×C4×C5—41no—
314C2×C4×C5—41no—
315C2×C4×C5—41no—
316C2×C4×C5—41no—
317C2×C4×C5—41no—
318C2×C4×C5—41no—
319C2×C4×C5—41no—
320C2×C4×C5—41no—
321C2×C4×C5—84no—
322C2×C4×C5—84no—
323C2×C4×C5#12312yes—
324C2×C4×C5C2×#4111yescharacteristic
325C2×C4×C5C2×#4111yescharacteristic
326C2×C4×C5C2×#4111yescharacteristic
327C2×C4×C5C2×#4111yescharacteristic
328C2×C4×C5H(5,𝔽2)11yescharacteristic
329C2×C4×C52−1+411yescharacteristic
330C5×C8—22no—
331C5×C8—41no—
332C5×C8—41no—
333C5×C8—41no—
334C22×D4C5×D411yescharacteristic
335C23×C4—21no—
336C23×C4—21no—
337C23×C4C23×C511yescharacteristic
338C23×C4C23×C511yescharacteristic
339C22×C8—22no—
340C22×C8—22no—
341C22×C8—41no—
342C22×C8C23×C511yescharacteristic
343C22×C8C23×C511yescharacteristic
344C22×C8C23×C511yescharacteristic
345C22×C8C23×C511yescharacteristic
346#123—44no—
347C4×D4—22no—
348C4×D4—22no—
349#117—22no—
350#117—41no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—41no—
359C2×C4⋊C4C5×D411yescharacteristic
360C2×C4⋊C4C23×C511yescharacteristic
361C2×C4⋊C4C23×C511yescharacteristic
362C2×C4⋊C4C23×C511yescharacteristic
363C2×C4⋊C4C23×C511yescharacteristic
364C2×C4⋊C4C23×C511yescharacteristic
365C2×C4⋊C4C23×C511yescharacteristic
366C2×C4⋊C4C23×C511yescharacteristic
367C2×C4⋊C4C23×C511yescharacteristic
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4C5×D411yescharacteristic
375C2×C22⋊C4C5×D411yescharacteristic
376C2×C42—21no—
377C2×C42—21no—
378C2×C42C23×C511yescharacteristic
379#107—22no—
380#107—41no—
381#106—22no—
382#106—41no—
383C22⋊C8—22no—
384C22⋊C8—22no—
385C22⋊C8—41no—
386#95—21no—
387#95—21no—
388#95—21no—
389#95—21no—
390#95—21no—
391#95—21no—
392#95—21no—
393#95—21no—
394#95—21no—
395#95—21no—
396C22×C5—22no—
397C22×C5—22no—
398C22×C5—22no—
399C22×C5—22no—
400C22×C5—22no—
401C22×C5—22no—
402C22×C5—41no—
403C22×C5—41no—
404C22×C5—41no—
405C22×C5—41no—
406C22×C5—41no—
407C22×C5—41no—
408C22×C5—41no—
409C22×C5#48214yes—
410C22×C5C2×#12311yescharacteristic
411C22×C5#54611yescharacteristic
412C22×C5#54711yescharacteristic
413C22×C5C2×#13511yescharacteristic
414C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
415C22×C5#57711yescharacteristic
416C22×C5#57811yescharacteristic
417C4×C5—22no—
418C4×C5—41no—
419C4×C5—41no—
420C4×C5—41no—
421C4×C5—42no—
422C4×C5—81no—
423C4×C5—81no—
424C4×C5—81no—
425C4×C5—81no—
426C4×C5—81no—
427C4×C5—81no—
428C4×C5—81no—
429C4×C5#52911yescharacteristic
430C4×C5#53911yescharacteristic
431C4×C5#55111yescharacteristic
432C4×C5#55211yescharacteristic
433C24C2×C5×D411yescharacteristic
434C24C2×C5×D411yescharacteristic
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—81no—
462C22×C4C2×C5×D411yescharacteristic
463C22×C4C2×C5×D411yescharacteristic
464C22×C4C2×C5×D411yescharacteristic
465C22×C4C2×C5×D411yescharacteristic
466C22×C4C5×#4112yes—
467C22×C4C5×#4112yes—
468C22×C4C24×C511yescharacteristic
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—44no—
481C2×C8C5×#4112yes—
482C4⋊C4—22no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—42no—
499C4⋊C4—42no—
500C4⋊C4—42no—
501C4⋊C4—42no—
502C4⋊C4C5×#4112yes—
503C22⋊C4—22no—
504C22⋊C4—22no—
505C22⋊C4—42no—
506C22⋊C4—42no—
507C22⋊C4—42no—
508C22⋊C4—42no—
509C22⋊C4—42no—
510C22⋊C4—81no—
511C42—21no—
512C42—21no—
513C42—42no—
514C42—81no—
515C2×C5—24no—
516C2×C5—81no—
517C2×C5#241911yescharacteristic
518C2×C5C2×#48211yescharacteristic
519C2×C5#309711yescharacteristic
520C2×C5#330011yescharacteristic
521C2×C5#330611yescharacteristic
522C2×C5#333711yescharacteristic
523C2×C5#334311yescharacteristic
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23C5×#12312yes—
536C23C5×#13512yes—
537C23C5×AGL(1,ℤ/8)12yes—
538C23C22×C5×D411yescharacteristic
539D4—44no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—22no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—84no—
584C2×C4—84no—
585C2×C4C5×#12312yes—
586C2×C4C2×C5×#4111yescharacteristic
587C2×C4C2×C5×#4111yescharacteristic
588C2×C4C2×C5×#4111yescharacteristic
589C2×C4C2×C5×#4111yescharacteristic
590C2×C4C5×H(5,𝔽2)11yescharacteristic
591C2×C4C5×2−1+411yescharacteristic
592C8—22no—
593C8—41no—
594C8—41no—
595C8—41no—
596C5#2494511yescharacteristic, direct product factor, Sylow
597C22—22no—
598C22—22no—
599C22—22no—
600C22—22no—
601C22—22no—
602C22—22no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22C5×#48214yes—
611C22C2×C5×#12311yescharacteristic
612C22C5×#54611yescharacteristic
613C22C5×#54711yescharacteristic
614C22C2×C5×#13511yescharacteristic
615C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
616C22C5×#57711yescharacteristic
617C22C5×#57811yescharacteristic
618C4—22no—
619C4—42no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—81no—
624C4—81no—
625C4—81no—
626C4—81no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4C5×#52911yescharacteristic
631C4C5×#53911yescharacteristic
632C4C5×#55111yescharacteristic
633C4C5×#55211yescharacteristic
634C2—24no—
635C2—81no—
636C2C5×#241911yescharacteristic
637C2C2×C5×#48211yescharacteristic
638C2C5×#309711yescharacteristic
639C2C5×#330011yescharacteristic
640C2C5×#330611yescharacteristic
641C2C5×#333711yescharacteristic
642C2C5×#334311yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C2×C4×C5×D4 ◁ G

Complements

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

NH ≅ G/Ntype
3. C5×#2101C2semidirect
4. C5×#2085C2semidirect
5. C5×#2077C2semidirect
6. C5×#2076C2semidirect
7. C5×#1921C2semidirect
8. C5×#1920C2semidirect
10. C5×#1854C2semidirect
11. C5×#1852C2semidirect
12. C5×#1825C2semidirect
13. C5×#1823C2semidirect
14. C5×#1807C2semidirect
15. C2×C5×#340C2semidirect
59. #24945C5direct (N × H)
124. #2101C2×C5semidirect
125. #2085C2×C5semidirect
126. #2077C2×C5semidirect
127. #2076C2×C5semidirect
128. #1921C2×C5semidirect
129. #1920C2×C5semidirect
131. #1854C2×C5semidirect
132. #1852C2×C5semidirect
133. #1825C2×C5semidirect
134. #1823C2×C5semidirect
135. #1807C2×C5semidirect
136. C2×#340C2×C5semidirect
596. C5#24945direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#24862
C5×#23522
C5×#21012
C5×#20852
C5×#20772
C5×#20762
C5×#19212
C5×#19202
C5×#18692
C5×#18542
C5×#18522
C5×#18252
C5×#18232
C5×#18072
C2×C5×#3402
#249455