Finite Group Databasebeta

← C5×#26414 #11949134

Subgroups — C5×#26414 #11949134

Order 1280.

818 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2440C211yesmaximal, characteristic
2C5×#2360C211yesmaximal, characteristic
3C5×#2100C211yesmaximal, characteristic, complemented
4C5×#2087C211yesmaximal, characteristic, complemented
5C5×#2068C211yesmaximal, characteristic, complemented
6C5×#2024C211yesmaximal, characteristic, complemented
7C5×#1987C211yesmaximal, characteristic, complemented
8C5×#1921C211yesmaximal, characteristic, complemented
9C5×#1892C211yesmaximal, characteristic
10C5×#1872C211yesmaximal, characteristic
11C5×#1863C211yesmaximal, characteristic, complemented
12C5×#1852C211yesmaximal, characteristic
13C5×#1850C211yesmaximal, characteristic
14C5×#1803C211yesmaximal, characteristic, complemented
15C2×C5×#340C211yesmaximal, characteristic
16C23×C5×C8C2211yescharacteristic
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×C22⋊Q8—21no—
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C22×C5×C4⋊C4C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#107C2211yescharacteristic
25C2×C5×C4⋊C8C2211yescharacteristic
26C2×C5×C4⋊C8C2211yescharacteristic
27C2×C5×#103C2211yescharacteristic
28C2×C5×#103C2211yescharacteristic
29C2×C5×#103C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×C22⋊C8C2211yescharacteristic
32C5×#398—21no—
33C5×#395—21no—
34C5×#391C2211yescharacteristic
35C5×#389—21no—
36C5×#389C2211yescharacteristic
37C5×#389C2211yescharacteristic
38C5×#389C2211yescharacteristic
39C5×#387—21no—
40C5×#385—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#26414C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×Q8—21no—
61C22×C5×Q8C2311yescharacteristic
62C23×C4×C5—21no—
63C23×C4×C5—21no—
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×C4⋊Q8—22no—
73C5×C4⋊Q8—41no—
74C5×C22⋊Q8—22no—
75C5×C22⋊Q8—44no—
76C5×C22⋊Q8Q814yescomplemented
77C4×C5×Q8—22no—
78C4×C5×Q8—41no—
79C2×C5×C4⋊C4—21no—
80C2×C5×C4⋊C4—22no—
81C2×C5×C4⋊C4—22no—
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⋊C4—21no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—21no—
91C2×C5×C4⋊C4—41no—
92C2×C5×C4⋊C4—41no—
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
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×C5C2311yescharacteristic
107C2×C42×C5C2311yescharacteristic
108C5×#107—22no—
109C5×#107—41no—
110C5×C4⋊C8—41no—
111C5×C4⋊C8—41no—
112C5×#103—22no—
113C5×#103—41no—
114C5×#103—41no—
115C5×#103—41no—
116C5×C22⋊C8—22no—
117C5×#95—21no—
118C5×#95—21no—
119C5×#95—21no—
120C5×#95—21no—
121C5×#95—21no—
122C5×#95—21no—
123C5×#95—21no—
124C5×#95D411yescharacteristic
125C5×#95D411yescharacteristic
126#2440C2×C511yescharacteristic
127#2360C2×C511yescharacteristic
128#2100C2×C511yescharacteristic, complemented
129#2087C2×C511yescharacteristic, complemented
130#2068C2×C511yescharacteristic, complemented
131#2024C2×C511yescharacteristic, complemented
132#1987C2×C511yescharacteristic, complemented
133#1921C2×C511yescharacteristic, complemented
134#1892C2×C511yescharacteristic
135#1872C2×C511yescharacteristic
136#1863C2×C511yescharacteristic, complemented
137#1852C2×C511yescharacteristic
138#1850C2×C511yescharacteristic
139#1803C2×C511yescharacteristic, complemented
140C2×#340C2×C511yescharacteristic
141C24×C5C2×D411yescharacteristic
142C2×C5×Q8—21no—
143C2×C5×Q8—21no—
144C2×C5×Q8—21no—
145C2×C5×Q8—21no—
146C2×C5×Q8—21no—
147C2×C5×Q8—42no—
148C2×C5×Q8—42no—
149C2×C5×Q8—81no—
150C2×C5×Q8C2×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—21no—
163C22×C4×C5—42no—
164C22×C4×C5—42no—
165C22×C4×C5—42no—
166C22×C4×C5—42no—
167C22×C4×C5—81no—
168C22×C4×C5—81no—
169C22×C4×C5C2×D411yescharacteristic
170C22×C4×C5C2×D411yescharacteristic
171C22×C4×C5C2×D411yescharacteristic
172C22×C4×C5C2×D411yescharacteristic
173C22×C4×C5C2×D411yescharacteristic
174C22×C4×C5C2×Q812yes—
175C22×C4×C5#4112yes—
176C22×C4×C5C2411yescharacteristic
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—21no—
186C2×C5×C8—21no—
187C2×C5×C8—21no—
188C2×C5×C8—21no—
189C2×C5×C8—44no—
190C5×C4⋊C4—24no—
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—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—42no—
217C5×C22⋊C4Q1614yes—
218C42×C5—21no—
219C42×C5—21no—
220C42×C5—21no—
221C42×C5—21no—
222C42×C5—42no—
223C42×C5—81no—
224C23×C8C22×C511yescharacteristic
225C2×C4⋊Q8C22×C511yescharacteristic
226C2×C22⋊Q8—21no—
227C2×C22⋊Q8C22×C511yescharacteristic
228C2×C4×Q8C22×C511yescharacteristic
229C22×C4⋊C4C22×C511yescharacteristic
230C22×C4⋊C4C22×C511yescharacteristic
231C2×#107C22×C511yescharacteristic
232C2×#107C22×C511yescharacteristic
233C2×C4⋊C8C22×C511yescharacteristic
234C2×C4⋊C8C22×C511yescharacteristic
235C2×#103C22×C511yescharacteristic
236C2×#103C22×C511yescharacteristic
237C2×#103C22×C511yescharacteristic
238C2×#103C22×C511yescharacteristic
239C2×C22⋊C8C22×C511yescharacteristic
240#398—21no—
241#395—21no—
242#391C22×C511yescharacteristic
243#389—21no—
244#389C22×C511yescharacteristic
245#389C22×C511yescharacteristic
246#389C22×C511yescharacteristic
247#387—21no—
248#385—21no—
249#385—21no—
250#384C22×C511yescharacteristic
251#380C22×C511yescharacteristic
252C4×C4⋊C4C22×C511yescharacteristic
253C4×C22⋊C4—21no—
254C4×C22⋊C4C22×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#340C22×C511yescharacteristic
265#336C22×C511yescharacteristic
266#336C22×C511yescharacteristic
267C23×C5—21no—
268C23×C5—21no—
269C23×C5—21no—
270C23×C5—21no—
271C23×C5C22⋊Q812yes—
272C23×C5C2×Q1612yes—
273C23×C5AGL(1,ℤ/8)12yes—
274C23×C5C22×D411yescharacteristic
275C5×Q8—22no—
276C5×Q8—22no—
277C5×Q8—41no—
278C5×Q8—41no—
279C5×Q8—84no—
280C2×C4×C5—21no—
281C2×C4×C5—21no—
282C2×C4×C5—21no—
283C2×C4×C5—21no—
284C2×C4×C5—21no—
285C2×C4×C5—21no—
286C2×C4×C5—22no—
287C2×C4×C5—22no—
288C2×C4×C5—22no—
289C2×C4×C5—22no—
290C2×C4×C5—22no—
291C2×C4×C5—22no—
292C2×C4×C5—21no—
293C2×C4×C5—21no—
294C2×C4×C5—22no—
295C2×C4×C5—22no—
296C2×C4×C5—21no—
297C2×C4×C5—21no—
298C2×C4×C5—21no—
299C2×C4×C5—21no—
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—84no—
321C2×C4×C5—84no—
322C2×C4×C5C22⋊Q812yes—
323C2×C4×C5C2×Q1612yes—
324C2×C4×C5C2×Q1612yes—
325C2×C4×C5C22×Q811yescharacteristic
326C2×C4×C5C2×#4111yescharacteristic
327C2×C4×C5C2×#4111yescharacteristic
328C2×C4×C5C2×#4111yescharacteristic
329C2×C4×C5H(5,𝔽2)11yescharacteristic
330C2×C4×C5H(5,𝔽2)11yescharacteristic
331C5×C8—41no—
332C5×C8—41no—
333C5×C8—41no—
334C5×C8—41no—
335C22×Q8—21no—
336C22×Q8C23×C511yescharacteristic
337C23×C4—21no—
338C23×C4—21no—
339C23×C4C23×C511yescharacteristic
340C22×C8—22no—
341C22×C8—41no—
342C22×C8—41no—
343C22×C8C23×C511yescharacteristic
344C22×C8C23×C511yescharacteristic
345C22×C8C23×C511yescharacteristic
346C22×C8C23×C511yescharacteristic
347C4⋊Q8—22no—
348C4⋊Q8—41no—
349C22⋊Q8—22no—
350C22⋊Q8—44no—
351C22⋊Q8C5×Q814yescomplemented
352C4×Q8—22no—
353C4×Q8—41no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
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⋊C4—21no—
366C2×C4⋊C4—41no—
367C2×C4⋊C4—41no—
368C2×C4⋊C4C23×C511yescharacteristic
369C2×C4⋊C4C23×C511yescharacteristic
370C2×C4⋊C4C23×C511yescharacteristic
371C2×C4⋊C4C23×C511yescharacteristic
372C2×C4⋊C4C23×C511yescharacteristic
373C2×C4⋊C4C23×C511yescharacteristic
374C2×C4⋊C4C23×C511yescharacteristic
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4C5×D411yescharacteristic
378C2×C22⋊C4C5×D411yescharacteristic
379C2×C42—21no—
380C2×C42—21no—
381C2×C42C23×C511yescharacteristic
382C2×C42C23×C511yescharacteristic
383#107—22no—
384#107—41no—
385C4⋊C8—41no—
386C4⋊C8—41no—
387#103—22no—
388#103—41no—
389#103—41no—
390#103—41no—
391C22⋊C8—22no—
392#95—21no—
393#95—21no—
394#95—21no—
395#95—21no—
396#95—21no—
397#95—21no—
398#95—21no—
399#95C5×D411yescharacteristic
400#95C5×D411yescharacteristic
401C22×C5—22no—
402C22×C5—22no—
403C22×C5—22no—
404C22×C5—22no—
405C22×C5—22no—
406C22×C5—22no—
407C22×C5#47714yes—
408C22×C5C2×C22⋊Q811yescharacteristic
409C22×C5#54611yescharacteristic
410C22×C5#54611yescharacteristic
411C22×C5C22×Q1611yescharacteristic
412C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
413C22×C5#57711yescharacteristic
414C22×C5#57711yescharacteristic
415C4×C5—22no—
416C4×C5—22no—
417C4×C5—22no—
418C4×C5—42no—
419C4×C5—42no—
420C4×C5—41no—
421C4×C5—42no—
422C4×C5—41no—
423C4×C5—42no—
424C4×C5—81no—
425C4×C5—81no—
426C4×C5—81no—
427C4×C5—81no—
428C4×C5#52911yescharacteristic
429C4×C5#53811yescharacteristic
430C4×C5#55411yescharacteristic
431C4×C5#55411yescharacteristic
432C24C2×C5×D411yescharacteristic
433C2×Q8—21no—
434C2×Q8—21no—
435C2×Q8—21no—
436C2×Q8—21no—
437C2×Q8—21no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8—81no—
441C2×Q8C2×C5×Q812yes—
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—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—81no—
459C22×C4—81no—
460C22×C4C2×C5×D411yescharacteristic
461C22×C4C2×C5×D411yescharacteristic
462C22×C4C2×C5×D411yescharacteristic
463C22×C4C2×C5×D411yescharacteristic
464C22×C4C2×C5×D411yescharacteristic
465C22×C4C2×C5×Q812yes—
466C22×C4C5×#4112yes—
467C22×C4C24×C511yescharacteristic
468C2×C8—21no—
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—
481C4⋊C4—24no—
482C4⋊C4—21no—
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—42no—
494C4⋊C4—42no—
495C4⋊C4—42no—
496C4⋊C4—42no—
497C4⋊C4—42no—
498C4⋊C4—42no—
499C4⋊C4—42no—
500C4⋊C4—81no—
501C4⋊C4—81no—
502C4⋊C4C2×C5×Q812yes—
503C4⋊C4C5×#4112yes—
504C4⋊C4C5×#4112yes—
505C22⋊C4—24no—
506C22⋊C4—22no—
507C22⋊C4—42no—
508C22⋊C4C5×Q1614yes—
509C42—21no—
510C42—21no—
511C42—21no—
512C42—21no—
513C42—42no—
514C42—81no—
515C2×C5—24no—
516C2×C5#245011yescharacteristic
517C2×C5C2×#47711yescharacteristic
518C2×C5#308411yescharacteristic
519C2×C5#329911yescharacteristic
520C2×C5#329911yescharacteristic
521C2×C5#330611yescharacteristic
522C2×C5#331011yescharacteristic
523C23—21no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23C5×C22⋊Q812yes—
528C23C2×C5×Q1612yes—
529C23C5×AGL(1,ℤ/8)12yes—
530C23C22×C5×D411yescharacteristic
531Q8—22no—
532Q8—22no—
533Q8—41no—
534Q8—41no—
535Q8—84no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—22no—
551C2×C4—22no—
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—84no—
577C2×C4—84no—
578C2×C4C5×C22⋊Q812yes—
579C2×C4C2×C5×Q1612yes—
580C2×C4C2×C5×Q1612yes—
581C2×C4C22×C5×Q811yescharacteristic
582C2×C4C2×C5×#4111yescharacteristic
583C2×C4C2×C5×#4111yescharacteristic
584C2×C4C2×C5×#4111yescharacteristic
585C2×C4C5×H(5,𝔽2)11yescharacteristic
586C2×C4C5×H(5,𝔽2)11yescharacteristic
587C8—41no—
588C8—41no—
589C8—41no—
590C8—41no—
591C5#2641411yescharacteristic, direct product factor, Sylow
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22C5×#47714yes—
599C22C2×C5×C22⋊Q811yescharacteristic
600C22C5×#54611yescharacteristic
601C22C5×#54611yescharacteristic
602C22C22×C5×Q1611yescharacteristic
603C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
604C22C5×#57711yescharacteristic
605C22C5×#57711yescharacteristic
606C4—22no—
607C4—22no—
608C4—22no—
609C4—41no—
610C4—42no—
611C4—41no—
612C4—42no—
613C4—42no—
614C4—42no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4—81no—
619C4C5×#52911yescharacteristic
620C4C5×#53811yescharacteristic
621C4C5×#55411yescharacteristic
622C4C5×#55411yescharacteristic
623C2—24no—
624C2C5×#245011yescharacteristic
625C2C2×C5×#47711yescharacteristic
626C2C5×#308411yescharacteristic
627C2C5×#329911yescharacteristic
628C2C5×#329911yescharacteristic
629C2C5×#330611yescharacteristic
630C2C5×#331011yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC24×C5C2×D4
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
3. C5×#2100C2semidirect
4. C5×#2087C2semidirect
5. C5×#2068C2semidirect
6. C5×#2024C2semidirect
7. C5×#1987C2semidirect
8. C5×#1921C2semidirect
11. C5×#1863C2semidirect
14. C5×#1803C2semidirect
59. #26414C5direct (N × H)
76. C5×C22⋊Q8Q8semidirect
128. #2100C2×C5semidirect
129. #2087C2×C5semidirect
130. #2068C2×C5semidirect
131. #2024C2×C5semidirect
132. #1987C2×C5semidirect
133. #1921C2×C5semidirect
136. #1863C2×C5semidirect
139. #1803C2×C5semidirect
351. C22⋊Q8C5×Q8semidirect
591. C5#26414direct (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×#23602
C5×#21002
C5×#20872
C5×#20682
C5×#20242
C5×#19872
C5×#19212
C5×#18922
C5×#18722
C5×#18632
C5×#18522
C5×#18502
C5×#18032
C2×C5×#3402
#264145