Finite Group Databasebeta

← C5×#24935 #11947655

Subgroups — C5×#24935 #11947655

Order 1280.

834 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2487C211yesmaximal, characteristic
2C5×D4×C4⋊C4C211yesmaximal, characteristic
3C5×#2099C211yesmaximal, characteristic, complemented
4C5×#2084C211yesmaximal, characteristic, complemented
5C5×#2077C211yesmaximal, characteristic, complemented
6C5×#2077C211yesmaximal, characteristic, complemented
7C5×#1920C211yesmaximal, characteristic, complemented
8C5×#1920C211yesmaximal, characteristic, complemented
9C5×#1869C211yesmaximal, characteristic
10C5×#1853C211yesmaximal, characteristic, complemented
11C5×#1853C211yesmaximal, characteristic, complemented
12C5×#1824C211yesmaximal, characteristic, complemented
13C5×#1823C211yesmaximal, characteristic, complemented
14C5×#1807C211yesmaximal, characteristic, complemented
15C2×C5×#340C211yesmaximal, characteristic, complemented
16C23×C5×C8C2211yescharacteristic
17C2×C4×C5×D4—21no—
18C2×C4×C5×D4C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C22×C5×C4⋊C4C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C2×C5×#106C2211yescharacteristic
23C2×C5×#106C2211yescharacteristic
24C2×C5×#106C2211yescharacteristic
25C2×C5×#106C2211yescharacteristic
26C2×C5×C22⋊C8C2211yescharacteristic
27C2×C5×C22⋊C8C2211yescharacteristic
28C2×C5×C22⋊C8C2211yescharacteristic
29C5×#400—21no—
30C5×#399—21no—
31C5×#389—21no—
32C5×#389C2211yescharacteristic
33C5×#389C2211yescharacteristic
34C5×#386—21no—
35C5×#385—21no—
36C5×#385—21no—
37C5×#385—21no—
38C5×#384C2211yescharacteristic
39C5×#380C2211yescharacteristic
40C5×#380C2211yescharacteristic
41C5×#380C2211yescharacteristic
42C5×#380C2211yescharacteristic
43C5×#380C2211yescharacteristic
44C4×C5×C4⋊C4C2211yescharacteristic
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#24935C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×D4D411yescharacteristic
61C23×C4×C5—21no—
62C23×C4×C5—21no—
63C23×C4×C5—21no—
64C23×C4×C5C2311yescharacteristic
65C23×C4×C5C2311yescharacteristic
66C22×C5×C8—22no—
67C22×C5×C8—22no—
68C22×C5×C8—41no—
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C4×C5×D4—22no—
74C4×C5×D4—22no—
75C4×C5×D4—44no—
76C2×C5×C4⋊C4—22no—
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—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—41no—
88C2×C5×C4⋊C4—41no—
89C2×C5×C4⋊C4D411yescharacteristic
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×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⋊C4D411yescharacteristic
104C2×C5×C22⋊C4D411yescharacteristic
105C2×C42×C5—21no—
106C2×C42×C5C2311yescharacteristic
107C5×#106—22no—
108C5×#106—22no—
109C5×#106—41no—
110C5×#106—41no—
111C5×C22⋊C8—22no—
112C5×C22⋊C8—22no—
113C5×C22⋊C8—41no—
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#2487C2×C511yescharacteristic
123D4×C4⋊C4C2×C511yescharacteristic
124#2099C2×C511yescharacteristic, complemented
125#2084C2×C511yescharacteristic, complemented
126#2077C2×C511yescharacteristic, complemented
127#2077C2×C511yescharacteristic, complemented
128#1920C2×C511yescharacteristic, complemented
129#1920C2×C511yescharacteristic, complemented
130#1869C2×C511yescharacteristic
131#1853C2×C511yescharacteristic, complemented
132#1853C2×C511yescharacteristic, complemented
133#1824C2×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×D4SD1614yes—
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×C5—81no—
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×C5#4112yes—
174C22×C4×C5#4112yes—
175C22×C4×C5C2411yescharacteristic
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—21no—
186C2×C5×C8—21no—
187C2×C5×C8—44no—
188C2×C5×C8#4112yes—
189C5×C4⋊C4—22no—
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—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—21no—
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⋊C4—81no—
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—81no—
219C5×C22⋊C4—81no—
220C42×C5—21no—
221C42×C5—21no—
222C42×C5—42no—
223C23×C8C22×C511yescharacteristic
224C2×C4×D4—21no—
225C2×C4×D4C22×C511yescharacteristic
226C22×C4⋊C4C22×C511yescharacteristic
227C22×C4⋊C4C22×C511yescharacteristic
228C22×C4⋊C4C22×C511yescharacteristic
229C2×#106C22×C511yescharacteristic
230C2×#106C22×C511yescharacteristic
231C2×#106C22×C511yescharacteristic
232C2×#106C22×C511yescharacteristic
233C2×C22⋊C8C22×C511yescharacteristic
234C2×C22⋊C8C22×C511yescharacteristic
235C2×C22⋊C8C22×C511yescharacteristic
236#400—21no—
237#399—21no—
238#389—21no—
239#389C22×C511yescharacteristic
240#389C22×C511yescharacteristic
241#386—21no—
242#385—21no—
243#385—21no—
244#385—21no—
245#384C22×C511yescharacteristic
246#380C22×C511yescharacteristic
247#380C22×C511yescharacteristic
248#380C22×C511yescharacteristic
249#380C22×C511yescharacteristic
250#380C22×C511yescharacteristic
251C4×C4⋊C4C22×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#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—21no—
273C23×C5—21no—
274C23×C5—21no—
275C23×C5—21no—
276C23×C5#12312yes—
277C23×C5C2×SD1612yes—
278C23×C5C2×SD1612yes—
279C23×C5#13712yes—
280C23×C5C22×D411yescharacteristic
281C5×D4—28no—
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—21no—
291C2×C4×C5—21no—
292C2×C4×C5—22no—
293C2×C4×C5—21no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—21no—
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—41no—
322C2×C4×C5—41no—
323C2×C4×C5—41no—
324C2×C4×C5—84no—
325C2×C4×C5—84no—
326C2×C4×C5—84no—
327C2×C4×C5#12312yes—
328C2×C4×C5C2×SD1612yes—
329C2×C4×C5C2×#4111yescharacteristic
330C2×C4×C5C2×#4111yescharacteristic
331C2×C4×C5C2×#4111yescharacteristic
332C2×C4×C5C2×#4111yescharacteristic
333C2×C4×C5H(5,𝔽2)11yescharacteristic
334C2×C4×C52−1+411yescharacteristic
335C5×C8—22no—
336C5×C8—41no—
337C5×C8—41no—
338C5×C8—41no—
339C22×D4C5×D411yescharacteristic
340C23×C4—21no—
341C23×C4—21no—
342C23×C4—21no—
343C23×C4C23×C511yescharacteristic
344C23×C4C23×C511yescharacteristic
345C22×C8—22no—
346C22×C8—22no—
347C22×C8—41no—
348C22×C8C23×C511yescharacteristic
349C22×C8C23×C511yescharacteristic
350C22×C8C23×C511yescharacteristic
351C22×C8C23×C511yescharacteristic
352C4×D4—22no—
353C4×D4—22no—
354C4×D4—44no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
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⋊C4C5×D411yescharacteristic
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×C4⋊C4C23×C511yescharacteristic
376C2×C4⋊C4C23×C511yescharacteristic
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4C5×D411yescharacteristic
383C2×C22⋊C4C5×D411yescharacteristic
384C2×C42—21no—
385C2×C42C23×C511yescharacteristic
386#106—22no—
387#106—22no—
388#106—41no—
389#106—41no—
390C22⋊C8—22no—
391C22⋊C8—22no—
392C22⋊C8—41no—
393#95—21no—
394#95—21no—
395#95—21no—
396#95—21no—
397#95—21no—
398#95—21no—
399#95—21no—
400#95—21no—
401C22×C5—22no—
402C22×C5—22no—
403C22×C5—22no—
404C22×C5—22no—
405C22×C5—22no—
406C22×C5—22no—
407C22×C5—22no—
408C22×C5—22no—
409C22×C5—22no—
410C22×C5—41no—
411C22×C5—41no—
412C22×C5—41no—
413C22×C5—41no—
414C22×C5#48314yes—
415C22×C5C2×#12311yescharacteristic
416C22×C5#54611yescharacteristic
417C22×C5#54711yescharacteristic
418C22×C5C22×SD1611yescharacteristic
419C22×C5C2×#13711yescharacteristic
420C22×C5#57611yescharacteristic
421C22×C5#57711yescharacteristic
422C4×C5—22no—
423C4×C5—22no—
424C4×C5—41no—
425C4×C5—41no—
426C4×C5—42no—
427C4×C5—81no—
428C4×C5—81no—
429C4×C5—81no—
430C4×C5—81no—
431C4×C5—81no—
432C4×C5—81no—
433C4×C5—81no—
434C4×C5#52911yescharacteristic
435C4×C5#53911yescharacteristic
436C4×C5#55111yescharacteristic
437C4×C5#55211yescharacteristic
438C24C2×C5×D411yescharacteristic
439C24C2×C5×D411yescharacteristic
440C2×D4—22no—
441C2×D4—22no—
442C2×D4C5×SD1614yes—
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—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—81no—
467C22×C4—81no—
468C22×C4—81no—
469C22×C4—81no—
470C22×C4C2×C5×D411yescharacteristic
471C22×C4C2×C5×D411yescharacteristic
472C22×C4C2×C5×D411yescharacteristic
473C22×C4C2×C5×D411yescharacteristic
474C22×C4C5×#4112yes—
475C22×C4C5×#4112yes—
476C22×C4C24×C511yescharacteristic
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—44no—
489C2×C8C5×#4112yes—
490C4⋊C4—22no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C4⋊C4C5×#4112yes—
514C22⋊C4—22no—
515C22⋊C4—22no—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—81no—
520C22⋊C4—81no—
521C42—21no—
522C42—21no—
523C42—42no—
524C2×C5—24no—
525C2×C5—42no—
526C2×C5#241911yescharacteristic
527C2×C5C2×#48311yescharacteristic
528C2×C5#309611yescharacteristic
529C2×C5#329511yescharacteristic
530C2×C5#332011yescharacteristic
531C2×C5#333511yescharacteristic
532C2×C5#334611yescharacteristic
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23C5×#12312yes—
544C23C2×C5×SD1612yes—
545C23C2×C5×SD1612yes—
546C23C5×#13712yes—
547C23C22×C5×D411yescharacteristic
548D4—28no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—22no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
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—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—84no—
592C2×C4—84no—
593C2×C4—84no—
594C2×C4C5×#12312yes—
595C2×C4C2×C5×SD1612yes—
596C2×C4C2×C5×#4111yescharacteristic
597C2×C4C2×C5×#4111yescharacteristic
598C2×C4C2×C5×#4111yescharacteristic
599C2×C4C2×C5×#4111yescharacteristic
600C2×C4C5×H(5,𝔽2)11yescharacteristic
601C2×C4C5×2−1+411yescharacteristic
602C8—22no—
603C8—41no—
604C8—41no—
605C8—41no—
606C5#2493511yescharacteristic, direct product factor, Sylow
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22C5×#48314yes—
621C22C2×C5×#12311yescharacteristic
622C22C5×#54611yescharacteristic
623C22C5×#54711yescharacteristic
624C22C22×C5×SD1611yescharacteristic
625C22C2×C5×#13711yescharacteristic
626C22C5×#57611yescharacteristic
627C22C5×#57711yescharacteristic
628C4—22no—
629C4—22no—
630C4—42no—
631C4—41no—
632C4—41no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4C5×#52911yescharacteristic
641C4C5×#53911yescharacteristic
642C4C5×#55111yescharacteristic
643C4C5×#55211yescharacteristic
644C2—24no—
645C2—42no—
646C2C5×#241911yescharacteristic
647C2C2×C5×#48311yescharacteristic
648C2C5×#309611yescharacteristic
649C2C5×#329511yescharacteristic
650C2C5×#332011yescharacteristic
651C2C5×#333511yescharacteristic
652C2C5×#334611yescharacteristic
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×#2099C2semidirect
4. C5×#2084C2semidirect
5. C5×#2077C2semidirect
6. C5×#2077C2semidirect
7. C5×#1920C2semidirect
8. C5×#1920C2semidirect
10. C5×#1853C2semidirect
11. C5×#1853C2semidirect
12. C5×#1824C2semidirect
13. C5×#1823C2semidirect
14. C5×#1807C2semidirect
15. C2×C5×#340C2semidirect
59. #24935C5direct (N × H)
124. #2099C2×C5semidirect
125. #2084C2×C5semidirect
126. #2077C2×C5semidirect
127. #2077C2×C5semidirect
128. #1920C2×C5semidirect
129. #1920C2×C5semidirect
131. #1853C2×C5semidirect
132. #1853C2×C5semidirect
133. #1824C2×C5semidirect
134. #1823C2×C5semidirect
135. #1807C2×C5semidirect
136. C2×#340C2×C5semidirect
606. C5#24935direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#24872
C5×D4×C4⋊C42
C5×#20992
C5×#20842
C5×#20772
C5×#19202
C5×#18692
C5×#18532
C5×#18242
C5×#18232
C5×#18072
C2×C5×#3402
#249355