Finite Group Databasebeta

← C5×#26425 #11949145

Subgroups — C5×#26425 #11949145

Order 1280.

840 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2440C211yesmaximal, characteristic, complemented
2C5×#2363C211yesmaximal, characteristic
3C5×#2100C211yesmaximal, characteristic, complemented
4C5×#2087C211yesmaximal, characteristic, complemented
5C5×#2067C211yesmaximal, characteristic, complemented
6C5×#2023C211yesmaximal, characteristic, complemented
7C5×#1988C211yesmaximal, characteristic, complemented
8C5×#1919C211yesmaximal, characteristic, complemented
9C5×#1895C211yesmaximal, characteristic
10C5×#1874C211yesmaximal, characteristic
11C5×#1864C211yesmaximal, characteristic, complemented
12C5×#1854C211yesmaximal, characteristic, complemented
13C5×#1851C211yesmaximal, characteristic, complemented
14C5×#1802C211yesmaximal, characteristic, complemented
15C5×#1736C211yesmaximal, characteristic, complemented
16C22×C5×M16C2211yescharacteristic
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×C22⋊Q8—21no—
19C2×C5×#121C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×C5×#117C2211yescharacteristic
22C22×C5×C4⋊C4C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#106C2211yescharacteristic
25C2×C5×C4⋊C8C2211yescharacteristic
26C2×C5×C4⋊C8C2211yescharacteristic
27C2×C5×#102C2211yescharacteristic
28C2×C5×#102C2211yescharacteristic
29C2×C5×#102C2211yescharacteristic
30C2×C5×#102C2211yescharacteristic
31C2×C5×C22⋊C8C2211yescharacteristic
32C5×#398—21no—
33C5×#395—21no—
34C5×#390—21no—
35C5×#390C2211yescharacteristic
36C5×#389C2211yescharacteristic
37C5×#389C2211yescharacteristic
38C5×#389C2211yescharacteristic
39C5×#388—21no—
40C5×#386—21no—
41C5×#385—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#26425C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×Q8—21no—
61C22×C5×D4—21no—
62C22×C5×D4C2311yescharacteristic
63C23×C4×C5—21no—
64C23×C4×C5—21no—
65C23×C4×C5C2311yescharacteristic
66C2×C5×M16—22no—
67C2×C5×M16—41no—
68C2×C5×M16—41no—
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C5×C4⋊Q8—22no—
74C5×C4⋊Q8—41no—
75C5×C22⋊Q8—44no—
76C5×#121—22no—
77C5×#121Q814yescomplemented
78C4×C5×D4—22no—
79C4×C5×D4—41no—
80C5×#117—22no—
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—21no—
88C2×C5×C4⋊C4—21no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—41no—
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
104C2×C5×C22⋊C4D411yescharacteristic
105C2×C5×C22⋊C4D411yescharacteristic
106C2×C42×C5—21no—
107C2×C42×C5—21no—
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C5×#107—41no—
111C5×#106—22no—
112C5×C4⋊C8—41no—
113C5×C4⋊C8—41no—
114C5×#102—22no—
115C5×#102—41no—
116C5×#102—41no—
117C5×#102—41no—
118C5×C22⋊C8—22no—
119C5×#95—21no—
120C5×#95—21no—
121C5×#95—21no—
122C5×#95—21no—
123C5×#95—21no—
124C5×#95D411yescharacteristic
125C5×#95D411yescharacteristic
126#2440C2×C511yescharacteristic, complemented
127#2363C2×C511yescharacteristic
128#2100C2×C511yescharacteristic, complemented
129#2087C2×C511yescharacteristic, complemented
130#2067C2×C511yescharacteristic, complemented
131#2023C2×C511yescharacteristic, complemented
132#1988C2×C511yescharacteristic, complemented
133#1919C2×C511yescharacteristic, complemented
134#1895C2×C511yescharacteristic
135#1874C2×C511yescharacteristic
136#1864C2×C511yescharacteristic, complemented
137#1854C2×C511yescharacteristic, complemented
138#1851C2×C511yescharacteristic, complemented
139#1802C2×C511yescharacteristic, complemented
140#1736C2×C511yescharacteristic, complemented
141C24×C5—21no—
142C24×C5C2×D411yescharacteristic
143C2×C5×Q8—42no—
144C2×C5×Q8—42no—
145C2×C5×Q8—81no—
146C2×C5×D4—24no—
147C2×C5×D4—21no—
148C2×C5×D4—21no—
149C2×C5×D4—21no—
150C2×C5×D4—21no—
151C2×C5×D4—21no—
152C2×C5×D4—81no—
153C2×C5×D4—81no—
154C2×C5×D4C2×Q812yes—
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—42no—
167C22×C4×C5—42no—
168C22×C4×C5—42no—
169C22×C4×C5—42no—
170C22×C4×C5—81no—
171C22×C4×C5—81no—
172C22×C4×C5C2×D411yescharacteristic
173C22×C4×C5C2×D411yescharacteristic
174C22×C4×C5C2×D411yescharacteristic
175C22×C4×C5C2×D411yescharacteristic
176C22×C4×C5C2×D411yescharacteristic
177C22×C4×C5C2×Q812yes—
178C22×C4×C5#4112yes—
179C22×C4×C5C2411yescharacteristic
180C5×M16—44no—
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—
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—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—42no—
205C5×C4⋊C4—42no—
206C5×C4⋊C4—42no—
207C5×C4⋊C4—42no—
208C5×C4⋊C4—42no—
209C5×C4⋊C4—81no—
210C5×C4⋊C4—81no—
211C5×C4⋊C4C2×Q812yes—
212C5×C4⋊C4#4112yes—
213C5×C4⋊C4#4112yes—
214C5×C22⋊C4—24no—
215C5×C22⋊C4—22no—
216C5×C22⋊C4—22no—
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—21no—
225C42×C5—21no—
226C42×C5—42no—
227C42×C5—81no—
228C22×M16C22×C511yescharacteristic
229C2×C4⋊Q8C22×C511yescharacteristic
230C2×C22⋊Q8—21no—
231C2×#121C22×C511yescharacteristic
232C2×C4×D4C22×C511yescharacteristic
233C2×#117C22×C511yescharacteristic
234C22×C4⋊C4C22×C511yescharacteristic
235C2×#107C22×C511yescharacteristic
236C2×#106C22×C511yescharacteristic
237C2×C4⋊C8C22×C511yescharacteristic
238C2×C4⋊C8C22×C511yescharacteristic
239C2×#102C22×C511yescharacteristic
240C2×#102C22×C511yescharacteristic
241C2×#102C22×C511yescharacteristic
242C2×#102C22×C511yescharacteristic
243C2×C22⋊C8C22×C511yescharacteristic
244#398—21no—
245#395—21no—
246#390—21no—
247#390C22×C511yescharacteristic
248#389C22×C511yescharacteristic
249#389C22×C511yescharacteristic
250#389C22×C511yescharacteristic
251#388—21no—
252#386—21no—
253#385—21no—
254#384C22×C511yescharacteristic
255#380C22×C511yescharacteristic
256C4×C4⋊C4C22×C511yescharacteristic
257C4×C22⋊C4—21no—
258C4×C22⋊C4C22×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#340C22×C511yescharacteristic
269#336C22×C511yescharacteristic
270#336C22×C511yescharacteristic
271C23×C5—21no—
272C23×C5—21no—
273C23×C5—21no—
274C23×C5—21no—
275C23×C5—21no—
276C23×C5—21no—
277C23×C5—22no—
278C23×C5—41no—
279C23×C5—41no—
280C23×C5—41no—
281C23×C5—41no—
282C23×C5—41no—
283C23×C5—41no—
284C23×C5C22⋊Q812yes—
285C23×C5C22×D411yescharacteristic
286C5×Q8—84no—
287C5×D4—22no—
288C5×D4—22no—
289C5×D4—41no—
290C5×D4—41no—
291C5×D4—84no—
292C2×C4×C5—21no—
293C2×C4×C5—21no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—21no—
297C2×C4×C5—21no—
298C2×C4×C5—22no—
299C2×C4×C5—22no—
300C2×C4×C5—22no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
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—84no—
330C2×C4×C5—84no—
331C2×C4×C5C22⋊Q812yes—
332C2×C4×C5AGL(1,ℤ/8)12yes—
333C2×C4×C5#13712yes—
334C2×C4×C5C22×Q811yescharacteristic
335C2×C4×C5C2×#4111yescharacteristic
336C2×C4×C5C2×#4111yescharacteristic
337C2×C4×C5C2×#4111yescharacteristic
338C2×C4×C5H(5,𝔽2)11yescharacteristic
339C2×C4×C5H(5,𝔽2)11yescharacteristic
340C5×C8—41no—
341C5×C8—41no—
342C5×C8—41no—
343C5×C8—41no—
344C22×Q8—21no—
345C22×D4—21no—
346C22×D4C23×C511yescharacteristic
347C23×C4—21no—
348C23×C4—21no—
349C23×C4C23×C511yescharacteristic
350C2×M16—22no—
351C2×M16—41no—
352C2×M16—41no—
353C22×C8C23×C511yescharacteristic
354C22×C8C23×C511yescharacteristic
355C22×C8C23×C511yescharacteristic
356C22×C8C23×C511yescharacteristic
357C4⋊Q8—22no—
358C4⋊Q8—41no—
359C22⋊Q8—44no—
360#121—22no—
361#121C5×Q814yescomplemented
362C4×D4—22no—
363C4×D4—41no—
364#117—22no—
365#117—41no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—41no—
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×C4⋊C4C23×C511yescharacteristic
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×C42C23×C511yescharacteristic
393C2×C42C23×C511yescharacteristic
394#107—41no—
395#106—22no—
396C4⋊C8—41no—
397C4⋊C8—41no—
398#102—22no—
399#102—41no—
400#102—41no—
401#102—41no—
402C22⋊C8—22no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95C5×D411yescharacteristic
409#95C5×D411yescharacteristic
410C22×C5—22no—
411C22×C5—22no—
412C22×C5—22no—
413C22×C5—41no—
414C22×C5—41no—
415C22×C5—41no—
416C22×C5—41no—
417C22×C5—42no—
418C22×C5—42no—
419C22×C5—42no—
420C22×C5—81no—
421C22×C5—81no—
422C22×C5—81no—
423C22×C5—81no—
424C22×C5C2×C22⋊Q811yescharacteristic
425C22×C5#54611yescharacteristic
426C22×C5#54611yescharacteristic
427C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
428C22×C5C2×#13711yescharacteristic
429C22×C5#57611yescharacteristic
430C22×C5#57711yescharacteristic
431C4×C5—22no—
432C4×C5—22no—
433C4×C5—22no—
434C4×C5—41no—
435C4×C5—41no—
436C4×C5—42no—
437C4×C5—42no—
438C4×C5—42no—
439C4×C5—81no—
440C4×C5—81no—
441C4×C5—81no—
442C4×C5—81no—
443C4×C5#52911yescharacteristic
444C4×C5#53811yescharacteristic
445C4×C5#55411yescharacteristic
446C4×C5#55411yescharacteristic
447C24—21no—
448C24C2×C5×D411yescharacteristic
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—81no—
452C2×D4—24no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—81no—
459C2×D4—81no—
460C2×D4C2×C5×Q812yes—
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—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4C2×C5×D411yescharacteristic
479C22×C4C2×C5×D411yescharacteristic
480C22×C4C2×C5×D411yescharacteristic
481C22×C4C2×C5×D411yescharacteristic
482C22×C4C2×C5×D411yescharacteristic
483C22×C4C2×C5×Q812yes—
484C22×C4C5×#4112yes—
485C22×C4C24×C511yescharacteristic
486M16—44no—
487C2×C8—21no—
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—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
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—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—81no—
516C4⋊C4—81no—
517C4⋊C4C2×C5×Q812yes—
518C4⋊C4C5×#4112yes—
519C4⋊C4C5×#4112yes—
520C22⋊C4—24no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—81no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—42no—
533C42—81no—
534C2×C5—42no—
535C2×C5—82no—
536C2×C5#245011yescharacteristic
537C2×C5#307911yescharacteristic
538C2×C5#308111yescharacteristic
539C2×C5#331411yescharacteristic
540C2×C5#331811yescharacteristic
541C2×C5#332911yescharacteristic
542C2×C5#333211yescharacteristic
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—22no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23C5×C22⋊Q812yes—
557C23C22×C5×D411yescharacteristic
558Q8—84no—
559D4—22no—
560D4—22no—
561D4—41no—
562D4—41no—
563D4—84no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
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—84no—
602C2×C4—84no—
603C2×C4C5×C22⋊Q812yes—
604C2×C4C5×AGL(1,ℤ/8)12yes—
605C2×C4C5×#13712yes—
606C2×C4C22×C5×Q811yescharacteristic
607C2×C4C2×C5×#4111yescharacteristic
608C2×C4C2×C5×#4111yescharacteristic
609C2×C4C2×C5×#4111yescharacteristic
610C2×C4C5×H(5,𝔽2)11yescharacteristic
611C2×C4C5×H(5,𝔽2)11yescharacteristic
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C5#2642511yescharacteristic, direct product factor, Sylow
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22C2×C5×C22⋊Q811yescharacteristic
632C22C5×#54611yescharacteristic
633C22C5×#54611yescharacteristic
634C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
635C22C2×C5×#13711yescharacteristic
636C22C5×#57611yescharacteristic
637C22C5×#57711yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—42no—
642C4—42no—
643C4—41no—
644C4—41no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4C5×#52911yescharacteristic
651C4C5×#53811yescharacteristic
652C4C5×#55411yescharacteristic
653C4C5×#55411yescharacteristic
654C2—42no—
655C2—82no—
656C2C5×#245011yescharacteristic
657C2C5×#307911yescharacteristic
658C2C5×#308111yescharacteristic
659C2C5×#331411yescharacteristic
660C2C5×#331811yescharacteristic
661C2C5×#332911yescharacteristic
662C2C5×#333211yescharacteristic
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×#2440C2semidirect
3. C5×#2100C2semidirect
4. C5×#2087C2semidirect
5. C5×#2067C2semidirect
6. C5×#2023C2semidirect
7. C5×#1988C2semidirect
8. C5×#1919C2semidirect
11. C5×#1864C2semidirect
12. C5×#1854C2semidirect
13. C5×#1851C2semidirect
14. C5×#1802C2semidirect
15. C5×#1736C2semidirect
59. #26425C5direct (N × H)
77. C5×#121Q8semidirect
126. #2440C2×C5semidirect
128. #2100C2×C5semidirect
129. #2087C2×C5semidirect
130. #2067C2×C5semidirect
131. #2023C2×C5semidirect
132. #1988C2×C5semidirect
133. #1919C2×C5semidirect
136. #1864C2×C5semidirect
137. #1854C2×C5semidirect
138. #1851C2×C5semidirect
139. #1802C2×C5semidirect
140. #1736C2×C5semidirect
361. #121C5×Q8semidirect
616. C5#26425direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#24402
C5×#23632
C5×#21002
C5×#20872
C5×#20672
C5×#20232
C5×#19882
C5×#19192
C5×#18952
C5×#18742
C5×#18642
C5×#18542
C5×#18512
C5×#18022
C5×#17362
#264255