Finite Group Databasebeta

← C5×#26421 #11949141

Subgroups — C5×#26421 #11949141

Order 1280.

794 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2441C211yesmaximal, characteristic, complemented
2C5×#2363C211yesmaximal, characteristic
3C5×#2100C211yesmaximal, characteristic, complemented
4C5×#2088C211yesmaximal, characteristic, complemented
5C5×#2065C211yesmaximal, characteristic, complemented
6C5×#2025C211yesmaximal, characteristic, complemented
7C5×#1989C211yesmaximal, characteristic, complemented
8C5×#1918C211yesmaximal, characteristic, complemented
9C5×#1893C211yesmaximal, characteristic
10C5×#1875C211yesmaximal, characteristic
11C5×#1862C211yesmaximal, characteristic, complemented
12C5×#1854C211yesmaximal, characteristic, complemented
13C5×#1850C211yesmaximal, characteristic, complemented
14C5×#1802C211yesmaximal, characteristic, complemented
15C5×#1735C211yesmaximal, characteristic, complemented
16C23×C5×C8C2211yescharacteristic
17C2×C5×#125C2211yescharacteristic
18C2×C5×#121C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×C5×#117C2211yescharacteristic
21C2×C5×#117C2211yescharacteristic
22C2×C5×#107C2211yescharacteristic
23C2×C5×#106C2211yescharacteristic
24C2×C5×C4⋊C8C2211yescharacteristic
25C2×C5×C4⋊C8C2211yescharacteristic
26C2×C5×#102C2211yescharacteristic
27C2×C5×#102C2211yescharacteristic
28C2×C5×#102C2211yescharacteristic
29C2×C5×#102C2211yescharacteristic
30C2×C5×C22⋊C8C2211yescharacteristic
31C5×#399—21no—
32C5×#396—21no—
33C5×#390—21no—
34C5×#390C2211yescharacteristic
35C5×#389—21no—
36C5×#389C2211yescharacteristic
37C5×#389C2211yescharacteristic
38C5×#389C2211yescharacteristic
39C5×#388—21no—
40C5×#387—21no—
41C5×#386—21no—
42C5×#384C2211yescharacteristic
43C5×#380C2211yescharacteristic
44C4×C5×C4⋊C4C2211yescharacteristic
45C4×C5×C22⋊C4—21no—
46C4×C5×C22⋊C4C2211yescharacteristic
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#26421C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×D4—21no—
61C22×C5×D4C2311yescharacteristic
62C23×C4×C5—21no—
63C23×C4×C5C2311yescharacteristic
64C22×C5×C8—22no—
65C22×C5×C8—41no—
66C22×C5×C8—41no—
67C22×C5×C8C2311yescharacteristic
68C22×C5×C8C2311yescharacteristic
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C5×#125—22no—
72C5×#125—41no—
73C5×#121—22no—
74C5×#121Q814yes—
75C4×C5×D4—22no—
76C4×C5×D4—41no—
77C5×#117—22no—
78C5×#117—22no—
79C5×#117—41no—
80C5×#117—41no—
81C2×C5×C4⋊C4—21no—
82C2×C5×C4⋊C4—21no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—21no—
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×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4D411yescharacteristic
103C2×C5×C22⋊C4D411yescharacteristic
104C2×C42×C5—21no—
105C2×C42×C5—21no—
106C2×C42×C5—21no—
107C2×C42×C5C2311yescharacteristic
108C2×C42×C5C2311yescharacteristic
109C5×#107—22no—
110C5×#106—41no—
111C5×C4⋊C8—41no—
112C5×C4⋊C8—41no—
113C5×#102—22no—
114C5×#102—41no—
115C5×#102—41no—
116C5×#102—41no—
117C5×C22⋊C8—22no—
118C5×#95—21no—
119C5×#95—21no—
120C5×#95—21no—
121C5×#95—21no—
122C5×#95—21no—
123C5×#95D411yescharacteristic
124C5×#95D411yescharacteristic
125#2441C2×C511yescharacteristic, complemented
126#2363C2×C511yescharacteristic
127#2100C2×C511yescharacteristic, complemented
128#2088C2×C511yescharacteristic, complemented
129#2065C2×C511yescharacteristic, complemented
130#2025C2×C511yescharacteristic, complemented
131#1989C2×C511yescharacteristic, complemented
132#1918C2×C511yescharacteristic, complemented
133#1893C2×C511yescharacteristic
134#1875C2×C511yescharacteristic
135#1862C2×C511yescharacteristic, complemented
136#1854C2×C511yescharacteristic, complemented
137#1850C2×C511yescharacteristic, complemented
138#1802C2×C511yescharacteristic, complemented
139#1735C2×C511yescharacteristic, complemented
140C24×C5—21no—
141C24×C5C2×D411yescharacteristic
142C2×C5×D4—24no—
143C2×C5×D4—21no—
144C2×C5×D4—21no—
145C2×C5×D4—21no—
146C2×C5×D4—21no—
147C2×C5×D4—21no—
148C2×C5×D4—81no—
149C2×C5×D4—81no—
150C2×C5×D4C2×Q812yes—
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—21no—
161C22×C4×C5—21no—
162C22×C4×C5—42no—
163C22×C4×C5—42no—
164C22×C4×C5—81no—
165C22×C4×C5C2×D411yescharacteristic
166C22×C4×C5C2×D411yescharacteristic
167C22×C4×C5C2×D411yescharacteristic
168C22×C4×C5C2×D411yescharacteristic
169C22×C4×C5C2×D411yescharacteristic
170C22×C4×C5C2×Q812yes—
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—21no—
185C2×C5×C8—44no—
186C5×C4⋊C4—21no—
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—42no—
198C5×C4⋊C4—42no—
199C5×C4⋊C4—42no—
200C5×C4⋊C4—42no—
201C5×C4⋊C4—81no—
202C5×C4⋊C4—81no—
203C5×C4⋊C4—81no—
204C5×C4⋊C4C2×Q812yes—
205C5×C4⋊C4#4112yes—
206C5×C4⋊C4#4112yes—
207C5×C22⋊C4—24no—
208C5×C22⋊C4—22no—
209C5×C22⋊C4—41no—
210C5×C22⋊C4—42no—
211C5×C22⋊C4—42no—
212C5×C22⋊C4—42no—
213C5×C22⋊C4—42no—
214C5×C22⋊C4—81no—
215C5×C22⋊C4—81no—
216C42×C5—21no—
217C42×C5—21no—
218C42×C5—21no—
219C42×C5—21no—
220C42×C5—42no—
221C42×C5—42no—
222C42×C5—81no—
223C23×C8C22×C511yescharacteristic
224C2×#125C22×C511yescharacteristic
225C2×#121C22×C511yescharacteristic
226C2×C4×D4C22×C511yescharacteristic
227C2×#117C22×C511yescharacteristic
228C2×#117C22×C511yescharacteristic
229C2×#107C22×C511yescharacteristic
230C2×#106C22×C511yescharacteristic
231C2×C4⋊C8C22×C511yescharacteristic
232C2×C4⋊C8C22×C511yescharacteristic
233C2×#102C22×C511yescharacteristic
234C2×#102C22×C511yescharacteristic
235C2×#102C22×C511yescharacteristic
236C2×#102C22×C511yescharacteristic
237C2×C22⋊C8C22×C511yescharacteristic
238#399—21no—
239#396—21no—
240#390—21no—
241#390C22×C511yescharacteristic
242#389—21no—
243#389C22×C511yescharacteristic
244#389C22×C511yescharacteristic
245#389C22×C511yescharacteristic
246#388—21no—
247#387—21no—
248#386—21no—
249#384C22×C511yescharacteristic
250#380C22×C511yescharacteristic
251C4×C4⋊C4C22×C511yescharacteristic
252C4×C22⋊C4—21no—
253C4×C22⋊C4C22×C511yescharacteristic
254#340C22×C511yescharacteristic
255#340C22×C511yescharacteristic
256#340C22×C511yescharacteristic
257#340C22×C511yescharacteristic
258#340C22×C511yescharacteristic
259#340C22×C511yescharacteristic
260#340C22×C511yescharacteristic
261#340C22×C511yescharacteristic
262#340C22×C511yescharacteristic
263#340C22×C511yescharacteristic
264#336C22×C511yescharacteristic
265#336C22×C511yescharacteristic
266C23×C5—21no—
267C23×C5—21no—
268C23×C5—21no—
269C23×C5—21no—
270C23×C5—21no—
271C23×C5—21no—
272C23×C5—22no—
273C23×C5—41no—
274C23×C5—41no—
275C23×C5—41no—
276C23×C5—41no—
277C23×C5—41no—
278C23×C5—41no—
279C23×C5C22⋊Q812yes—
280C23×C5C22×D411yescharacteristic
281C5×D4—22no—
282C5×D4—22no—
283C5×D4—41no—
284C5×D4—41no—
285C5×D4—84no—
286C2×C4×C5—21no—
287C2×C4×C5—21no—
288C2×C4×C5—21no—
289C2×C4×C5—21no—
290C2×C4×C5—22no—
291C2×C4×C5—22no—
292C2×C4×C5—22no—
293C2×C4×C5—22no—
294C2×C4×C5—22no—
295C2×C4×C5—21no—
296C2×C4×C5—21no—
297C2×C4×C5—21no—
298C2×C4×C5—22no—
299C2×C4×C5—22no—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
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—41no—
322C2×C4×C5—41no—
323C2×C4×C5—41no—
324C2×C4×C5—84no—
325C2×C4×C5C22⋊Q812yes—
326C2×C4×C5#13512yes—
327C2×C4×C5C22×Q811yescharacteristic
328C2×C4×C5C2×#4111yescharacteristic
329C2×C4×C5C2×#4111yescharacteristic
330C2×C4×C5C2×#4111yescharacteristic
331C2×C4×C5H(5,𝔽2)11yescharacteristic
332C2×C4×C5H(5,𝔽2)11yescharacteristic
333C5×C8—41no—
334C5×C8—41no—
335C5×C8—41no—
336C5×C8—41no—
337C22×D4—21no—
338C22×D4C23×C511yescharacteristic
339C23×C4—21no—
340C23×C4C23×C511yescharacteristic
341C22×C8—22no—
342C22×C8—41no—
343C22×C8—41no—
344C22×C8C23×C511yescharacteristic
345C22×C8C23×C511yescharacteristic
346C22×C8C23×C511yescharacteristic
347C22×C8C23×C511yescharacteristic
348#125—22no—
349#125—41no—
350#121—22no—
351#121C5×Q814yes—
352C4×D4—22no—
353C4×D4—41no—
354#117—22no—
355#117—22no—
356#117—41no—
357#117—41no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4C23×C511yescharacteristic
366C2×C4⋊C4C23×C511yescharacteristic
367C2×C4⋊C4C23×C511yescharacteristic
368C2×C4⋊C4C23×C511yescharacteristic
369C2×C4⋊C4C23×C511yescharacteristic
370C2×C4⋊C4C23×C511yescharacteristic
371C2×C4⋊C4C23×C511yescharacteristic
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4C5×D411yescharacteristic
380C2×C22⋊C4C5×D411yescharacteristic
381C2×C42—21no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42C23×C511yescharacteristic
385C2×C42C23×C511yescharacteristic
386#107—22no—
387#106—41no—
388C4⋊C8—41no—
389C4⋊C8—41no—
390#102—22no—
391#102—41no—
392#102—41no—
393#102—41no—
394C22⋊C8—22no—
395#95—21no—
396#95—21no—
397#95—21no—
398#95—21no—
399#95—21no—
400#95C5×D411yescharacteristic
401#95C5×D411yescharacteristic
402C22×C5—22no—
403C22×C5—22no—
404C22×C5—22no—
405C22×C5—41no—
406C22×C5—41no—
407C22×C5—41no—
408C22×C5—41no—
409C22×C5—42no—
410C22×C5—42no—
411C22×C5—42no—
412C22×C5—81no—
413C22×C5—81no—
414C22×C5—81no—
415C22×C5—81no—
416C22×C5C2×C22⋊Q811yescharacteristic
417C22×C5#54611yescharacteristic
418C22×C5#54611yescharacteristic
419C22×C5C2×#13511yescharacteristic
420C22×C5#57511yescharacteristic
421C22×C5#57611yescharacteristic
422C22×C5#57711yescharacteristic
423C4×C5—22no—
424C4×C5—22no—
425C4×C5—42no—
426C4×C5—42no—
427C4×C5—41no—
428C4×C5—42no—
429C4×C5—41no—
430C4×C5—41no—
431C4×C5—81no—
432C4×C5—81no—
433C4×C5—81no—
434C4×C5—81no—
435C4×C5#52911yescharacteristic
436C4×C5#53811yescharacteristic
437C4×C5#55411yescharacteristic
438C4×C5#55411yescharacteristic
439C24—21no—
440C24C2×C5×D411yescharacteristic
441C2×D4—24no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—21no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—81no—
448C2×D4—81no—
449C2×D4C2×C5×Q812yes—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—81no—
464C22×C4C2×C5×D411yescharacteristic
465C22×C4C2×C5×D411yescharacteristic
466C22×C4C2×C5×D411yescharacteristic
467C22×C4C2×C5×D411yescharacteristic
468C22×C4C2×C5×D411yescharacteristic
469C22×C4C2×C5×Q812yes—
470C22×C4C5×#4112yes—
471C22×C4C24×C511yescharacteristic
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—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—44no—
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—42no—
497C4⋊C4—42no—
498C4⋊C4—42no—
499C4⋊C4—42no—
500C4⋊C4—81no—
501C4⋊C4—81no—
502C4⋊C4—81no—
503C4⋊C4C2×C5×Q812yes—
504C4⋊C4C5×#4112yes—
505C4⋊C4C5×#4112yes—
506C22⋊C4—24no—
507C22⋊C4—22no—
508C22⋊C4—41no—
509C22⋊C4—42no—
510C22⋊C4—42no—
511C22⋊C4—42no—
512C22⋊C4—42no—
513C22⋊C4—81no—
514C22⋊C4—81no—
515C42—21no—
516C42—21no—
517C42—21no—
518C42—21no—
519C42—42no—
520C42—42no—
521C42—81no—
522C2×C5—42no—
523C2×C5—82no—
524C2×C5#245011yescharacteristic
525C2×C5#307611yescharacteristic
526C2×C5#308111yescharacteristic
527C2×C5#329711yescharacteristic
528C2×C5#330311yescharacteristic
529C2×C5#330911yescharacteristic
530C2×C5#331711yescharacteristic
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—22no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23C5×C22⋊Q812yes—
545C23C22×C5×D411yescharacteristic
546D4—22no—
547D4—22no—
548D4—41no—
549D4—41no—
550D4—84no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
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—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—84no—
590C2×C4C5×C22⋊Q812yes—
591C2×C4C5×#13512yes—
592C2×C4C22×C5×Q811yescharacteristic
593C2×C4C2×C5×#4111yescharacteristic
594C2×C4C2×C5×#4111yescharacteristic
595C2×C4C2×C5×#4111yescharacteristic
596C2×C4C5×H(5,𝔽2)11yescharacteristic
597C2×C4C5×H(5,𝔽2)11yescharacteristic
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C5#2642111yescharacteristic, direct product factor, Sylow
603C22—22no—
604C22—22no—
605C22—22no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22C2×C5×C22⋊Q811yescharacteristic
618C22C5×#54611yescharacteristic
619C22C5×#54611yescharacteristic
620C22C2×C5×#13511yescharacteristic
621C22C5×#57511yescharacteristic
622C22C5×#57611yescharacteristic
623C22C5×#57711yescharacteristic
624C4—22no—
625C4—22no—
626C4—42no—
627C4—41no—
628C4—42no—
629C4—41no—
630C4—41no—
631C4—42no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4C5×#52911yescharacteristic
637C4C5×#53811yescharacteristic
638C4C5×#55411yescharacteristic
639C4C5×#55411yescharacteristic
640C2—42no—
641C2—82no—
642C2C5×#245011yescharacteristic
643C2C5×#307611yescharacteristic
644C2C5×#308111yescharacteristic
645C2C5×#329711yescharacteristic
646C2C5×#330311yescharacteristic
647C2C5×#330911yescharacteristic
648C2C5×#331711yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC2×C5×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C4×C5×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#2441C2semidirect
3. C5×#2100C2semidirect
4. C5×#2088C2semidirect
5. C5×#2065C2semidirect
6. C5×#2025C2semidirect
7. C5×#1989C2semidirect
8. C5×#1918C2semidirect
11. C5×#1862C2semidirect
12. C5×#1854C2semidirect
13. C5×#1850C2semidirect
14. C5×#1802C2semidirect
15. C5×#1735C2semidirect
59. #26421C5direct (N × H)
125. #2441C2×C5semidirect
127. #2100C2×C5semidirect
128. #2088C2×C5semidirect
129. #2065C2×C5semidirect
130. #2025C2×C5semidirect
131. #1989C2×C5semidirect
132. #1918C2×C5semidirect
135. #1862C2×C5semidirect
136. #1854C2×C5semidirect
137. #1850C2×C5semidirect
138. #1802C2×C5semidirect
139. #1735C2×C5semidirect
602. C5#26421direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#24412
C5×#23632
C5×#21002
C5×#20882
C5×#20652
C5×#20252
C5×#19892
C5×#19182
C5×#18932
C5×#18752
C5×#18622
C5×#18542
C5×#18502
C5×#18022
C5×#17352
#264215