Finite Group Databasebeta

← C5×#26420 #11949140

Subgroups — C5×#26420 #11949140

Order 1280.

858 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2442C211yesmaximal, characteristic, complemented
2C5×#2361C211yesmaximal, characteristic
3C5×#2101C211yesmaximal, characteristic, complemented
4C5×#2087C211yesmaximal, characteristic, complemented
5C5×#2067C211yesmaximal, characteristic, complemented
6C5×#2025C211yesmaximal, characteristic, complemented
7C5×#1989C211yesmaximal, characteristic, complemented
8C5×#1921C211yesmaximal, characteristic, complemented
9C5×#1893C211yesmaximal, characteristic
10C5×#1874C211yesmaximal, characteristic
11C5×#1862C211yesmaximal, characteristic, complemented
12C5×#1852C211yesmaximal, characteristic, complemented
13C5×#1850C211yesmaximal, characteristic, complemented
14C5×#1804C211yesmaximal, characteristic, complemented
15C2×C5×#340C211yesmaximal, characteristic, complemented
16C23×C5×C8C2211yescharacteristic
17C2×C5×#125C2211yescharacteristic
18C2×C5×#121C2211yescharacteristic
19C2×C4×C5×D4—21no—
20C2×C4×C5×D4C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C22×C5×C4⋊C4C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#107C2211yescharacteristic
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×#400—21no—
33C5×#398—21no—
34C5×#390C2211yescharacteristic
35C5×#389C2211yescharacteristic
36C5×#389C2211yescharacteristic
37C5×#389C2211yescharacteristic
38C5×#388—21no—
39C5×#386—21no—
40C5×#385—21no—
41C5×#385—21no—
42C5×#382C2211yescharacteristic
43C5×#380—21no—
44C5×#380C2211yescharacteristic
45C4×C5×C4⋊C4C2211yescharacteristic
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#26420C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×D4—21no—
61C22×C5×D4C2311yescharacteristic
62C23×C4×C5—21no—
63C23×C4×C5—21no—
64C23×C4×C5—21no—
65C23×C4×C5C2311yescharacteristic
66C22×C5×C8—22no—
67C22×C5×C8—41no—
68C22×C5×C8—41no—
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C5×#125—22no—
74C5×#125—41no—
75C5×#121—22no—
76C5×#121Q814yes—
77C4×C5×D4—22no—
78C4×C5×D4—41no—
79C4×C5×D4—44no—
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—41no—
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⋊C4D411yescharacteristic
104C2×C5×C22⋊C4D411yescharacteristic
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×#102—22no—
113C5×#102—41no—
114C5×#102—41no—
115C5×#102—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#2442C2×C511yescharacteristic, complemented
127#2361C2×C511yescharacteristic
128#2101C2×C511yescharacteristic, complemented
129#2087C2×C511yescharacteristic, complemented
130#2067C2×C511yescharacteristic, complemented
131#2025C2×C511yescharacteristic, complemented
132#1989C2×C511yescharacteristic, complemented
133#1921C2×C511yescharacteristic, complemented
134#1893C2×C511yescharacteristic
135#1874C2×C511yescharacteristic
136#1862C2×C511yescharacteristic, complemented
137#1852C2×C511yescharacteristic, complemented
138#1850C2×C511yescharacteristic, complemented
139#1804C2×C511yescharacteristic, complemented
140C2×#340C2×C511yescharacteristic, complemented
141C24×C5—21no—
142C24×C5C2×D411yescharacteristic
143C2×C5×D4—24no—
144C2×C5×D4—21no—
145C2×C5×D4—21no—
146C2×C5×D4—21no—
147C2×C5×D4—21no—
148C2×C5×D4—21no—
149C2×C5×D4—42no—
150C2×C5×D4—42no—
151C2×C5×D4C2×Q812yes—
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—42no—
168C22×C4×C5—42no—
169C22×C4×C5—81no—
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
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—21no—
190C2×C5×C8—21no—
191C2×C5×C8—21no—
192C2×C5×C8—44no—
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—22no—
215C5×C22⋊C4—22no—
216C5×C22⋊C4—24no—
217C5×C22⋊C4—42no—
218C5×C22⋊C4—42no—
219C5×C22⋊C4—42no—
220C5×C22⋊C4—81no—
221C42×C5—21no—
222C42×C5—21no—
223C42×C5—21no—
224C42×C5—21no—
225C42×C5—42no—
226C23×C8C22×C511yescharacteristic
227C2×#125C22×C511yescharacteristic
228C2×#121C22×C511yescharacteristic
229C2×C4×D4—21no—
230C2×C4×D4C22×C511yescharacteristic
231C22×C4⋊C4C22×C511yescharacteristic
232C22×C4⋊C4C22×C511yescharacteristic
233C2×#107C22×C511yescharacteristic
234C2×#107C22×C511yescharacteristic
235C2×C4⋊C8C22×C511yescharacteristic
236C2×C4⋊C8C22×C511yescharacteristic
237C2×#102C22×C511yescharacteristic
238C2×#102C22×C511yescharacteristic
239C2×#102C22×C511yescharacteristic
240C2×#102C22×C511yescharacteristic
241C2×C22⋊C8C22×C511yescharacteristic
242#400—21no—
243#398—21no—
244#390C22×C511yescharacteristic
245#389C22×C511yescharacteristic
246#389C22×C511yescharacteristic
247#389C22×C511yescharacteristic
248#388—21no—
249#386—21no—
250#385—21no—
251#385—21no—
252#382C22×C511yescharacteristic
253#380—21no—
254#380C22×C511yescharacteristic
255C4×C4⋊C4C22×C511yescharacteristic
256C4×C22⋊C4C22×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#340C22×C511yescharacteristic
266#340C22×C511yescharacteristic
267#336C22×C511yescharacteristic
268#336C22×C511yescharacteristic
269C23×C5—21no—
270C23×C5—21no—
271C23×C5—21no—
272C23×C5—21no—
273C23×C5—22no—
274C23×C5—41no—
275C23×C5—41no—
276C23×C5—41no—
277C23×C5—41no—
278C23×C5—41no—
279C23×C5—41no—
280C23×C5C22⋊Q812yes—
281C23×C5#13512yes—
282C23×C5AGL(1,ℤ/8)12yes—
283C23×C5C22×D411yescharacteristic
284C5×D4—22no—
285C5×D4—22no—
286C5×D4—48no—
287C5×D4—41no—
288C5×D4—41no—
289C2×C4×C5—21no—
290C2×C4×C5—21no—
291C2×C4×C5—22no—
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—21no—
300C2×C4×C5—22no—
301C2×C4×C5—22no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
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—84no—
329C2×C4×C5—84no—
330C2×C4×C5—84no—
331C2×C4×C5C22⋊Q812yes—
332C2×C4×C5C22×Q811yescharacteristic
333C2×C4×C5C2×#4111yescharacteristic
334C2×C4×C5C2×#4111yescharacteristic
335C2×C4×C5C2×#4111yescharacteristic
336C2×C4×C5H(5,𝔽2)11yescharacteristic
337C2×C4×C5H(5,𝔽2)11yescharacteristic
338C5×C8—41no—
339C5×C8—41no—
340C5×C8—41no—
341C5×C8—41no—
342C22×D4—21no—
343C22×D4C23×C511yescharacteristic
344C23×C4—21no—
345C23×C4—21no—
346C23×C4—21no—
347C23×C4C23×C511yescharacteristic
348C22×C8—22no—
349C22×C8—41no—
350C22×C8—41no—
351C22×C8C23×C511yescharacteristic
352C22×C8C23×C511yescharacteristic
353C22×C8C23×C511yescharacteristic
354C22×C8C23×C511yescharacteristic
355#125—22no—
356#125—41no—
357#121—22no—
358#121C5×Q814yes—
359C4×D4—22no—
360C4×D4—41no—
361C4×D4—44no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—41no—
372C2×C4⋊C4—41no—
373C2×C4⋊C4C23×C511yescharacteristic
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×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—21no—
385C2×C22⋊C4C5×D411yescharacteristic
386C2×C22⋊C4C5×D411yescharacteristic
387C2×C42—21no—
388C2×C42C23×C511yescharacteristic
389C2×C42C23×C511yescharacteristic
390#107—22no—
391#107—41no—
392C4⋊C8—41no—
393C4⋊C8—41no—
394#102—22no—
395#102—41no—
396#102—41no—
397#102—41no—
398C22⋊C8—22no—
399#95—21no—
400#95—21no—
401#95—21no—
402#95—21no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95C5×D411yescharacteristic
407#95C5×D411yescharacteristic
408C22×C5—22no—
409C22×C5—22no—
410C22×C5—22no—
411C22×C5—22no—
412C22×C5—22no—
413C22×C5—22no—
414C22×C5—42no—
415C22×C5—42no—
416C22×C5—42no—
417C22×C5—81no—
418C22×C5—81no—
419C22×C5—81no—
420C22×C5—81no—
421C22×C5#47814yes—
422C22×C5C2×C22⋊Q811yescharacteristic
423C22×C5#54611yescharacteristic
424C22×C5#54611yescharacteristic
425C22×C5C2×#13511yescharacteristic
426C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
427C22×C5#57611yescharacteristic
428C22×C5#57811yescharacteristic
429C4×C5—22no—
430C4×C5—42no—
431C4×C5—41no—
432C4×C5—42no—
433C4×C5—41no—
434C4×C5—41no—
435C4×C5—41no—
436C4×C5—42no—
437C4×C5—81no—
438C4×C5—81no—
439C4×C5—81no—
440C4×C5—81no—
441C4×C5#52911yescharacteristic
442C4×C5#53811yescharacteristic
443C4×C5#55411yescharacteristic
444C4×C5#55411yescharacteristic
445C24—21no—
446C24C2×C5×D411yescharacteristic
447C2×D4—24no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4C2×C5×Q812yes—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4—81no—
476C22×C4C2×C5×D411yescharacteristic
477C22×C4C2×C5×D411yescharacteristic
478C22×C4C2×C5×D411yescharacteristic
479C22×C4C2×C5×D411yescharacteristic
480C22×C4C2×C5×D411yescharacteristic
481C22×C4C2×C5×Q812yes—
482C22×C4C5×#4112yes—
483C22×C4C24×C511yescharacteristic
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
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—44no—
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—21no—
507C4⋊C4—21no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—81no—
514C4⋊C4—81no—
515C4⋊C4C2×C5×Q812yes—
516C4⋊C4C5×#4112yes—
517C4⋊C4C5×#4112yes—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—24no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—81no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—42no—
530C2×C5—24no—
531C2×C5—82no—
532C2×C5#245011yescharacteristic
533C2×C5C2×#47811yescharacteristic
534C2×C5#308311yescharacteristic
535C2×C5#329711yescharacteristic
536C2×C5#330011yescharacteristic
537C2×C5#330811yescharacteristic
538C2×C5#331811yescharacteristic
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—22no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23C5×C22⋊Q812yes—
551C23C5×#13512yes—
552C23C5×AGL(1,ℤ/8)12yes—
553C23C22×C5×D411yescharacteristic
554D4—22no—
555D4—22no—
556D4—48no—
557D4—41no—
558D4—41no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—21no—
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—84no—
599C2×C4—84no—
600C2×C4—84no—
601C2×C4C5×C22⋊Q812yes—
602C2×C4C22×C5×Q811yescharacteristic
603C2×C4C2×C5×#4111yescharacteristic
604C2×C4C2×C5×#4111yescharacteristic
605C2×C4C2×C5×#4111yescharacteristic
606C2×C4C5×H(5,𝔽2)11yescharacteristic
607C2×C4C5×H(5,𝔽2)11yescharacteristic
608C8—41no—
609C8—41no—
610C8—41no—
611C8—41no—
612C5#2642011yescharacteristic, direct product factor, Sylow
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22C5×#47814yes—
627C22C2×C5×C22⋊Q811yescharacteristic
628C22C5×#54611yescharacteristic
629C22C5×#54611yescharacteristic
630C22C2×C5×#13511yescharacteristic
631C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
632C22C5×#57611yescharacteristic
633C22C5×#57811yescharacteristic
634C4—22no—
635C4—41no—
636C4—42no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—42no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4C5×#52911yescharacteristic
647C4C5×#53811yescharacteristic
648C4C5×#55411yescharacteristic
649C4C5×#55411yescharacteristic
650C2—24no—
651C2—82no—
652C2C5×#245011yescharacteristic
653C2C2×C5×#47811yescharacteristic
654C2C5×#308311yescharacteristic
655C2C5×#329711yescharacteristic
656C2C5×#330011yescharacteristic
657C2C5×#330811yescharacteristic
658C2C5×#331811yescharacteristic
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×#2442C2semidirect
3. C5×#2101C2semidirect
4. C5×#2087C2semidirect
5. C5×#2067C2semidirect
6. C5×#2025C2semidirect
7. C5×#1989C2semidirect
8. C5×#1921C2semidirect
11. C5×#1862C2semidirect
12. C5×#1852C2semidirect
13. C5×#1850C2semidirect
14. C5×#1804C2semidirect
15. C2×C5×#340C2semidirect
59. #26420C5direct (N × H)
126. #2442C2×C5semidirect
128. #2101C2×C5semidirect
129. #2087C2×C5semidirect
130. #2067C2×C5semidirect
131. #2025C2×C5semidirect
132. #1989C2×C5semidirect
133. #1921C2×C5semidirect
136. #1862C2×C5semidirect
137. #1852C2×C5semidirect
138. #1850C2×C5semidirect
139. #1804C2×C5semidirect
140. C2×#340C2×C5semidirect
612. C5#26420direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#24422
C5×#23612
C5×#21012
C5×#20872
C5×#20672
C5×#20252
C5×#19892
C5×#19212
C5×#18932
C5×#18742
C5×#18622
C5×#18522
C5×#18502
C5×#18042
C2×C5×#3402
#264205