Finite Group Databasebeta

← C5×#26201 #11948921

Subgroups — C5×#26201 #11948921

Order 1280.

794 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2415C211yesmaximal, characteristic
2C5×#2352C211yesmaximal, characteristic
3C5×#2101C211yesmaximal, characteristic, complemented
4C5×#2075C211yesmaximal, characteristic, complemented
5C5×#2074C211yesmaximal, characteristic, complemented
6C5×#2035C211yesmaximal, characteristic, complemented
7C5×#1928C211yesmaximal, characteristic, complemented
8C5×#1920C211yesmaximal, characteristic, complemented
9C5×#1892C211yesmaximal, characteristic, complemented
10C5×#1873C211yesmaximal, characteristic, complemented
11C5×#1872C211yesmaximal, characteristic, complemented
12C5×#1869C211yesmaximal, characteristic
13C5×#1854C211yesmaximal, characteristic, complemented
14C5×#1824C211yesmaximal, characteristic, complemented
15C5×#1735C211yesmaximal, characteristic, complemented
16C23×C5×C8C2211yescharacteristic
17C2×C5×C22⋊Q8C2211yescharacteristic
18C2×C5×C22⋊Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×C5×#117C2211yescharacteristic
21C2×C5×#117C2211yescharacteristic
22C22×C5×C4⋊C4C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#106C2211yescharacteristic
25C2×C5×#103C2211yescharacteristic
26C2×C5×#103C2211yescharacteristic
27C2×C5×#103C2211yescharacteristic
28C2×C5×#103C2211yescharacteristic
29C2×C5×C22⋊C8C2211yescharacteristic
30C2×C5×C22⋊C8C2211yescharacteristic
31C2×C5×C22⋊C8C2211yescharacteristic
32C5×#397—21no—
33C5×#394—21no—
34C5×#391C2211yescharacteristic
35C5×#389—21no—
36C5×#389C2211yescharacteristic
37C5×#388—21no—
38C5×#388—21no—
39C5×#387—21no—
40C5×#386—21no—
41C5×#382C2211yescharacteristic
42C5×#380C2211yescharacteristic
43C5×#380C2211yescharacteristic
44C5×#380C2211yescharacteristic
45C4×C5×C4⋊C4C2211yescharacteristic
46C4×C5×C22⋊C4—21no—
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#26201C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×Q8C2311yescharacteristic
61C22×C5×D4D411yescharacteristic
62C23×C4×C5—21no—
63C23×C4×C5C2311yescharacteristic
64C23×C4×C5C2311yescharacteristic
65C22×C5×C8—22no—
66C22×C5×C8—41no—
67C22×C5×C8—41no—
68C22×C5×C8C2311yescharacteristic
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C5×C22⋊Q8—22no—
73C5×C22⋊Q8—22no—
74C5×C22⋊Q8—22no—
75C5×C22⋊Q8—41no—
76C4×C5×D4—22no—
77C4×C5×D4—22no—
78C5×#117—22no—
79C5×#117—22no—
80C5×#117—41no—
81C5×#117—41no—
82C2×C5×C4⋊C4—22no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—41no—
88C2×C5×C4⋊C4D411yescharacteristic
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×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
103C2×C5×C22⋊C4D411yescharacteristic
104C2×C5×C22⋊C4D411yescharacteristic
105C2×C42×C5—21no—
106C2×C42×C5—21no—
107C2×C42×C5—21no—
108C2×C42×C5C2311yescharacteristic
109C5×#107—41no—
110C5×#106—22no—
111C5×#103—22no—
112C5×#103—41no—
113C5×#103—41no—
114C5×#103—41no—
115C5×C22⋊C8—22no—
116C5×C22⋊C8—41no—
117C5×C22⋊C8—41no—
118C5×#95—21no—
119C5×#95—21no—
120C5×#95—21no—
121C5×#95—21no—
122C5×#95—21no—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127#2415C2×C511yescharacteristic
128#2352C2×C511yescharacteristic
129#2101C2×C511yescharacteristic, complemented
130#2075C2×C511yescharacteristic, complemented
131#2074C2×C511yescharacteristic, complemented
132#2035C2×C511yescharacteristic, complemented
133#1928C2×C511yescharacteristic, complemented
134#1920C2×C511yescharacteristic, complemented
135#1892C2×C511yescharacteristic, complemented
136#1873C2×C511yescharacteristic, complemented
137#1872C2×C511yescharacteristic, complemented
138#1869C2×C511yescharacteristic
139#1854C2×C511yescharacteristic, complemented
140#1824C2×C511yescharacteristic, complemented
141#1735C2×C511yescharacteristic, complemented
142C24×C5C2×D411yescharacteristic
143C24×C5C2×D411yescharacteristic
144C2×C5×Q8—21no—
145C2×C5×Q8—21no—
146C2×C5×Q8—21no—
147C2×C5×Q8—21no—
148C2×C5×Q8—21no—
149C2×C5×Q8—21no—
150C2×C5×D4—22no—
151C2×C5×D4—22no—
152C2×C5×D4—41no—
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—21no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—21no—
166C22×C4×C5—21no—
167C22×C4×C5—21no—
168C22×C4×C5—21no—
169C22×C4×C5—21no—
170C22×C4×C5—21no—
171C22×C4×C5—42no—
172C22×C4×C5—42no—
173C22×C4×C5—81no—
174C22×C4×C5C2×D411yescharacteristic
175C22×C4×C5C2×D411yescharacteristic
176C22×C4×C5C2×D411yescharacteristic
177C22×C4×C5C2×D411yescharacteristic
178C22×C4×C5#4112yes—
179C22×C4×C5#4112yes—
180C22×C4×C5C2411yescharacteristic
181C2×C5×C8—21no—
182C2×C5×C8—21no—
183C2×C5×C8—21no—
184C2×C5×C8—21no—
185C2×C5×C8—21no—
186C2×C5×C8—21no—
187C2×C5×C8—21no—
188C2×C5×C8—21no—
189C2×C5×C8—21no—
190C2×C5×C8—21no—
191C2×C5×C8—21no—
192C2×C5×C8—21no—
193C2×C5×C8—44no—
194C5×C4⋊C4—22no—
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—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—21no—
205C5×C4⋊C4—21no—
206C5×C4⋊C4—21no—
207C5×C4⋊C4—42no—
208C5×C4⋊C4—42no—
209C5×C4⋊C4—42no—
210C5×C4⋊C4—42no—
211C5×C4⋊C4#4112yes—
212C5×C4⋊C4#4112yes—
213C5×C22⋊C4—22no—
214C5×C22⋊C4—22no—
215C5×C22⋊C4—42no—
216C5×C22⋊C4—42no—
217C5×C22⋊C4—42no—
218C5×C22⋊C4—42no—
219C5×C22⋊C4—42no—
220C5×C22⋊C4—42no—
221C5×C22⋊C4—81no—
222C42×C5—21no—
223C42×C5—21no—
224C42×C5—42no—
225C42×C5—42no—
226C42×C5—81no—
227C23×C8C22×C511yescharacteristic
228C2×C22⋊Q8C22×C511yescharacteristic
229C2×C22⋊Q8C22×C511yescharacteristic
230C2×C4×D4C22×C511yescharacteristic
231C2×#117C22×C511yescharacteristic
232C2×#117C22×C511yescharacteristic
233C22×C4⋊C4C22×C511yescharacteristic
234C2×#107C22×C511yescharacteristic
235C2×#106C22×C511yescharacteristic
236C2×#103C22×C511yescharacteristic
237C2×#103C22×C511yescharacteristic
238C2×#103C22×C511yescharacteristic
239C2×#103C22×C511yescharacteristic
240C2×C22⋊C8C22×C511yescharacteristic
241C2×C22⋊C8C22×C511yescharacteristic
242C2×C22⋊C8C22×C511yescharacteristic
243#397—21no—
244#394—21no—
245#391C22×C511yescharacteristic
246#389—21no—
247#389C22×C511yescharacteristic
248#388—21no—
249#388—21no—
250#387—21no—
251#386—21no—
252#382C22×C511yescharacteristic
253#380C22×C511yescharacteristic
254#380C22×C511yescharacteristic
255#380C22×C511yescharacteristic
256C4×C4⋊C4C22×C511yescharacteristic
257C4×C22⋊C4—21no—
258#340C22×C511yescharacteristic
259#340C22×C511yescharacteristic
260#340C22×C511yescharacteristic
261#340C22×C511yescharacteristic
262#340C22×C511yescharacteristic
263#340C22×C511yescharacteristic
264#340C22×C511yescharacteristic
265#340C22×C511yescharacteristic
266#340C22×C511yescharacteristic
267#340C22×C511yescharacteristic
268#336C22×C511yescharacteristic
269#336C22×C511yescharacteristic
270C23×C5—21no—
271C23×C5—21no—
272C23×C5—21no—
273C23×C5—21no—
274C23×C5—21no—
275C23×C5—21no—
276C23×C5—21no—
277C23×C5—21no—
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5#12312yes—
283C23×C5#13512yes—
284C23×C5C22×D411yescharacteristic
285C5×Q8—41no—
286C5×Q8—41no—
287C5×Q8—41no—
288C5×Q8—41no—
289C5×D4—44no—
290C2×C4×C5—21no—
291C2×C4×C5—21no—
292C2×C4×C5—22no—
293C2×C4×C5—22no—
294C2×C4×C5—22no—
295C2×C4×C5—22no—
296C2×C4×C5—21no—
297C2×C4×C5—21no—
298C2×C4×C5—21no—
299C2×C4×C5—22no—
300C2×C4×C5—22no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
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—41no—
325C2×C4×C5—41no—
326C2×C4×C5—41no—
327C2×C4×C5—41no—
328C2×C4×C5—41no—
329C2×C4×C5—41no—
330C2×C4×C5—41no—
331C2×C4×C5—41no—
332C2×C4×C5—41no—
333C2×C4×C5—84no—
334C2×C4×C5#12312yes—
335C2×C4×C5C2×#4111yescharacteristic
336C2×C4×C5C2×#4111yescharacteristic
337C2×C4×C5C2×#4111yescharacteristic
338C2×C4×C5C2×#4111yescharacteristic
339C2×C4×C5H(5,𝔽2)11yescharacteristic
340C2×C4×C5H(5,𝔽2)11yescharacteristic
341C5×C8—41no—
342C5×C8—41no—
343C5×C8—41no—
344C5×C8—41no—
345C22×Q8C23×C511yescharacteristic
346C22×D4C5×D411yescharacteristic
347C23×C4—21no—
348C23×C4C23×C511yescharacteristic
349C23×C4C23×C511yescharacteristic
350C22×C8—22no—
351C22×C8—41no—
352C22×C8—41no—
353C22×C8C23×C511yescharacteristic
354C22×C8C23×C511yescharacteristic
355C22×C8C23×C511yescharacteristic
356C22×C8C23×C511yescharacteristic
357C22⋊Q8—22no—
358C22⋊Q8—22no—
359C22⋊Q8—22no—
360C22⋊Q8—41no—
361C4×D4—22no—
362C4×D4—22no—
363#117—22no—
364#117—22no—
365#117—41no—
366#117—41no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—41no—
373C2×C4⋊C4C5×D411yescharacteristic
374C2×C4⋊C4C23×C511yescharacteristic
375C2×C4⋊C4C23×C511yescharacteristic
376C2×C4⋊C4C23×C511yescharacteristic
377C2×C4⋊C4C23×C511yescharacteristic
378C2×C4⋊C4C23×C511yescharacteristic
379C2×C4⋊C4C23×C511yescharacteristic
380C2×C4⋊C4C23×C511yescharacteristic
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4C5×D411yescharacteristic
389C2×C22⋊C4C5×D411yescharacteristic
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42C23×C511yescharacteristic
394#107—41no—
395#106—22no—
396#103—22no—
397#103—41no—
398#103—41no—
399#103—41no—
400C22⋊C8—22no—
401C22⋊C8—41no—
402C22⋊C8—41no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95—21no—
412C22×C5—22no—
413C22×C5—22no—
414C22×C5—22no—
415C22×C5—22no—
416C22×C5—22no—
417C22×C5—22no—
418C22×C5—41no—
419C22×C5—41no—
420C22×C5—41no—
421C22×C5—41no—
422C22×C5—41no—
423C22×C5—41no—
424C22×C5—41no—
425C22×C5—41no—
426C22×C5C2×#12311yescharacteristic
427C22×C5#54611yescharacteristic
428C22×C5#54611yescharacteristic
429C22×C5C2×#13511yescharacteristic
430C22×C5#57511yescharacteristic
431C22×C5#57711yescharacteristic
432C22×C5#57811yescharacteristic
433C4×C5—22no—
434C4×C5—41no—
435C4×C5—41no—
436C4×C5—41no—
437C4×C5—42no—
438C4×C5—42no—
439C4×C5—81no—
440C4×C5—81no—
441C4×C5—81no—
442C4×C5—81no—
443C4×C5—81no—
444C4×C5—81no—
445C4×C5#52911yescharacteristic
446C4×C5#53811yescharacteristic
447C4×C5#55311yescharacteristic
448C4×C5#55311yescharacteristic
449C24C2×C5×D411yescharacteristic
450C24C2×C5×D411yescharacteristic
451C2×Q8—21no—
452C2×Q8—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—41no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—81no—
481C22×C4C2×C5×D411yescharacteristic
482C22×C4C2×C5×D411yescharacteristic
483C22×C4C2×C5×D411yescharacteristic
484C22×C4C2×C5×D411yescharacteristic
485C22×C4C5×#4112yes—
486C22×C4C5×#4112yes—
487C22×C4C24×C511yescharacteristic
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—44no—
501C4⋊C4—22no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4C5×#4112yes—
519C4⋊C4C5×#4112yes—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—81no—
529C42—21no—
530C42—21no—
531C42—42no—
532C42—42no—
533C42—81no—
534C2×C5—42no—
535C2×C5—42no—
536C2×C5#244411yescharacteristic
537C2×C5#309111yescharacteristic
538C2×C5#309711yescharacteristic
539C2×C5#330011yescharacteristic
540C2×C5#330111yescharacteristic
541C2×C5#331111yescharacteristic
542C2×C5#331511yescharacteristic
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23C5×#12312yes—
556C23C5×#13512yes—
557C23C22×C5×D411yescharacteristic
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562D4—44no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
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—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—84no—
607C2×C4C5×#12312yes—
608C2×C4C2×C5×#4111yescharacteristic
609C2×C4C2×C5×#4111yescharacteristic
610C2×C4C2×C5×#4111yescharacteristic
611C2×C4C2×C5×#4111yescharacteristic
612C2×C4C5×H(5,𝔽2)11yescharacteristic
613C2×C4C5×H(5,𝔽2)11yescharacteristic
614C8—41no—
615C8—41no—
616C8—41no—
617C8—41no—
618C5#2620111yescharacteristic, direct product factor, Sylow
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22C2×C5×#12311yescharacteristic
634C22C5×#54611yescharacteristic
635C22C5×#54611yescharacteristic
636C22C2×C5×#13511yescharacteristic
637C22C5×#57511yescharacteristic
638C22C5×#57711yescharacteristic
639C22C5×#57811yescharacteristic
640C4—22no—
641C4—42no—
642C4—42no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4C5×#52911yescharacteristic
653C4C5×#53811yescharacteristic
654C4C5×#55311yescharacteristic
655C4C5×#55311yescharacteristic
656C2—42no—
657C2—42no—
658C2C5×#244411yescharacteristic
659C2C5×#309111yescharacteristic
660C2C5×#309711yescharacteristic
661C2C5×#330011yescharacteristic
662C2C5×#330111yescharacteristic
663C2C5×#331111yescharacteristic
664C2C5×#331511yescharacteristic
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×#2075C2semidirect
5. C5×#2074C2semidirect
6. C5×#2035C2semidirect
7. C5×#1928C2semidirect
8. C5×#1920C2semidirect
9. C5×#1892C2semidirect
10. C5×#1873C2semidirect
11. C5×#1872C2semidirect
13. C5×#1854C2semidirect
14. C5×#1824C2semidirect
15. C5×#1735C2semidirect
59. #26201C5direct (N × H)
129. #2101C2×C5semidirect
130. #2075C2×C5semidirect
131. #2074C2×C5semidirect
132. #2035C2×C5semidirect
133. #1928C2×C5semidirect
134. #1920C2×C5semidirect
135. #1892C2×C5semidirect
136. #1873C2×C5semidirect
137. #1872C2×C5semidirect
139. #1854C2×C5semidirect
140. #1824C2×C5semidirect
141. #1735C2×C5semidirect
618. C5#26201direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#24152
C5×#23522
C5×#21012
C5×#20752
C5×#20742
C5×#20352
C5×#19282
C5×#19202
C5×#18922
C5×#18732
C5×#18722
C5×#18692
C5×#18542
C5×#18242
C5×#17352
#262015