Finite Group Databasebeta

← C5×#26813 #11949533

Subgroups — C5×#26813 #11949533

Order 1280.

832 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#485C211yesmaximal, characteristic, complemented
2C2×C5×#478C211yesmaximal, characteristic, complemented
3C5×#2489C211yesmaximal, characteristic, complemented
4C5×#2363C211yesmaximal, characteristic
5C5×#2066C211yesmaximal, characteristic, complemented
6C5×#2059C211yesmaximal, characteristic, complemented
7C5×#2034C211yesmaximal, characteristic
8C5×#2000C211yesmaximal, characteristic
9C5×#1973C211yesmaximal, characteristic, complemented
10C5×#1927C211yesmaximal, characteristic, complemented
11C5×#1926C211yesmaximal, characteristic, complemented
12C5×#1924C211yesmaximal, characteristic, complemented
13C5×#1877C211yesmaximal, characteristic, complemented
14C5×#1854C211yesmaximal, characteristic, complemented
15C5×#1776C211yesmaximal, characteristic, complemented
16C22×C5×SD16C2211yescharacteristic
17C2×C5×#125C2211yescharacteristic
18C2×C5×C22⋊Q8C2211yescharacteristic
19C2×C5×#121C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×C5×#117C2211yescharacteristic
22C5×#485—24no—
23C5×#478—24no—
24C2×C5×#107C2211yescharacteristic
25C2×C5×#107C2211yescharacteristic
26C2×C5×#106C2211yescharacteristic
27C2×C5×#106C2211yescharacteristic
28C2×C5×#106C2211yescharacteristic
29C2×C5×C4⋊C8C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#102C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×C22⋊C8C2211yescharacteristic
37C2×C5×C22⋊C8C2211yescharacteristic
38C2×C5×#97C2211yescharacteristic
39C5×#400—21no—
40C5×#397—21no—
41C5×#391C2211yescharacteristic
42C5×#391C2211yescharacteristic
43C5×#390—21no—
44C5×#390C2211yescharacteristic
45C5×#389C2211yescharacteristic
46C5×#388—21no—
47C5×#388—21no—
48C5×#386—21no—
49C5×#382—21no—
50C5×#380C2211yescharacteristic
51C4×C5×C4⋊C4C2211yescharacteristic
52C4×C5×C4⋊C4C2211yescharacteristic
53C4×C5×C22⋊C4—21no—
54C4×C5×C22⋊C4C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#340C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26813C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8C2311yescharacteristic
63C22×C5×D4—21no—
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5—21no—
66C23×C4×C5C2311yescharacteristic
67C2×C5×SD16—22no—
68C2×C5×SD16—22no—
69C2×C5×SD16—41no—
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C5×#125—22no—
75C5×#125—41no—
76C5×C22⋊Q8—22no—
77C5×C22⋊Q8—41no—
78C5×#121—22no—
79C5×#121—22no—
80C4×C5×D4—22no—
81C4×C5×D4—41no—
82C5×#117—22no—
83C5×#117—41no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4C2311yescharacteristic
89C2×C5×C4⋊C4C2311yescharacteristic
90C2×C5×C4⋊C4C2311yescharacteristic
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C22⋊C4—21no—
95C2×C5×C22⋊C4—21no—
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⋊C4D411yescharacteristic
102C2×C5×C22⋊C4D411yescharacteristic
103C2×C42×C5—21no—
104C2×C42×C5—21no—
105C2×C42×C5—21no—
106C2×C42×C5C2311yescharacteristic
107C2×C42×C5C2311yescharacteristic
108C5×#107—41no—
109C5×#107D414yescomplemented
110C5×#106—22no—
111C5×#106—22no—
112C5×#106—22no—
113C5×C4⋊C8—22no—
114C5×#103—22no—
115C5×#103—22no—
116C5×#103—22no—
117C5×#102—22no—
118C5×#102—22no—
119C5×#102—22no—
120C5×C22⋊C8—22no—
121C5×C22⋊C8—22no—
122C5×#97—22no—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95—21no—
131C5×#95D411yescharacteristic
132C5×#95D411yescharacteristic
133C2×#485C2×C511yescharacteristic, complemented
134C2×#478C2×C511yescharacteristic, complemented
135#2489C2×C511yescharacteristic, complemented
136#2363C2×C511yescharacteristic
137#2066C2×C511yescharacteristic, complemented
138#2059C2×C511yescharacteristic, complemented
139#2034C2×C511yescharacteristic
140#2000C2×C511yescharacteristic
141#1973C2×C511yescharacteristic, complemented
142#1927C2×C511yescharacteristic, complemented
143#1926C2×C511yescharacteristic, complemented
144#1924C2×C511yescharacteristic, complemented
145#1877C2×C511yescharacteristic, complemented
146#1854C2×C511yescharacteristic, complemented
147#1776C2×C511yescharacteristic, complemented
148C24×C5—21no—
149C24×C5C2×D411yescharacteristic
150C2×C5×Q8—21no—
151C2×C5×Q8—21no—
152C2×C5×Q8—21no—
153C2×C5×Q8—21no—
154C2×C5×Q8—21no—
155C2×C5×Q8—21no—
156C2×C5×D4—24no—
157C2×C5×D4—21no—
158C2×C5×D4—21no—
159C2×C5×D4—21no—
160C2×C5×D4—21no—
161C2×C5×D4—21no—
162C2×C5×D4—81no—
163C2×C5×D4—81no—
164C2×C5×D4#4112yes—
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—21no—
172C22×C4×C5—21no—
173C22×C4×C5—21no—
174C22×C4×C5—21no—
175C22×C4×C5—21no—
176C22×C4×C5—21no—
177C22×C4×C5—21no—
178C22×C4×C5—42no—
179C22×C4×C5—42no—
180C22×C4×C5—81no—
181C22×C4×C5C2×D411yescharacteristic
182C22×C4×C5C2×D411yescharacteristic
183C22×C4×C5C2×D411yescharacteristic
184C22×C4×C5C2×D411yescharacteristic
185C22×C4×C5C2×D411yescharacteristic
186C22×C4×C5C2411yescharacteristic
187C5×SD16—44no—
188C2×C5×C8—21no—
189C2×C5×C8—21no—
190C2×C5×C8—21no—
191C2×C5×C8—21no—
192C2×C5×C8—21no—
193C2×C5×C8—21no—
194C2×C5×C8—21no—
195C2×C5×C8—21no—
196C2×C5×C8—21no—
197C2×C5×C8—21no—
198C2×C5×C8C2×D412yes—
199C2×C5×C8#4112yes—
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—21no—
208C5×C4⋊C4—21no—
209C5×C4⋊C4—42no—
210C5×C4⋊C4—42no—
211C5×C4⋊C4—42no—
212C5×C4⋊C4—81no—
213C5×C4⋊C4C2×D412yes—
214C5×C4⋊C4C2×D412yes—
215C5×C4⋊C4#4112yes—
216C5×C22⋊C4—24no—
217C5×C22⋊C4—41no—
218C5×C22⋊C4—41no—
219C5×C22⋊C4—42no—
220C5×C22⋊C4—42no—
221C5×C22⋊C4—42no—
222C5×C22⋊C4—42no—
223C5×C22⋊C4—42no—
224C5×C22⋊C4—81no—
225C42×C5—21no—
226C42×C5—21no—
227C42×C5—21no—
228C42×C5—21no—
229C42×C5—42no—
230C42×C5—42no—
231C42×C5—81no—
232C22×SD16C22×C511yescharacteristic
233C2×#125C22×C511yescharacteristic
234C2×C22⋊Q8C22×C511yescharacteristic
235C2×#121C22×C511yescharacteristic
236C2×C4×D4C22×C511yescharacteristic
237C2×#117C22×C511yescharacteristic
238#485—24no—
239#478—24no—
240C2×#107C22×C511yescharacteristic
241C2×#107C22×C511yescharacteristic
242C2×#106C22×C511yescharacteristic
243C2×#106C22×C511yescharacteristic
244C2×#106C22×C511yescharacteristic
245C2×C4⋊C8C22×C511yescharacteristic
246C2×#103C22×C511yescharacteristic
247C2×#103C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#102C22×C511yescharacteristic
250C2×#102C22×C511yescharacteristic
251C2×#102C22×C511yescharacteristic
252C2×C22⋊C8C22×C511yescharacteristic
253C2×C22⋊C8C22×C511yescharacteristic
254C2×#97C22×C511yescharacteristic
255#400—21no—
256#397—21no—
257#391C22×C511yescharacteristic
258#391C22×C511yescharacteristic
259#390—21no—
260#390C22×C511yescharacteristic
261#389C22×C511yescharacteristic
262#388—21no—
263#388—21no—
264#386—21no—
265#382—21no—
266#380C22×C511yescharacteristic
267C4×C4⋊C4C22×C511yescharacteristic
268C4×C4⋊C4C22×C511yescharacteristic
269C4×C22⋊C4—21no—
270C4×C22⋊C4C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#336C22×C511yescharacteristic
276#336C22×C511yescharacteristic
277C23×C5—22no—
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—21no—
284C23×C5—21no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5—41no—
291C23×C5C22×D411yescharacteristic
292C5×Q8—41no—
293C5×Q8—41no—
294C5×Q8—41no—
295C5×Q8—41no—
296C5×D4—22no—
297C5×D4—22no—
298C5×D4—41no—
299C5×D4—41no—
300C5×D4—84no—
301C2×C4×C5—21no—
302C2×C4×C5—22no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
313C2×C4×C5—21no—
314C2×C4×C5—21no—
315C2×C4×C5—21no—
316C2×C4×C5—21no—
317C2×C4×C5—21no—
318C2×C4×C5—21no—
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—41no—
334C2×C4×C5—41no—
335C2×C4×C5—41no—
336C2×C4×C5—41no—
337C2×C4×C5—41no—
338C2×C4×C5—41no—
339C2×C4×C5—41no—
340C2×C4×C5—41no—
341C2×C4×C5—84no—
342C2×C4×C5C22×D411yescharacteristic
343C2×C4×C5C2×#4111yescharacteristic
344C2×C4×C5C2×#4111yescharacteristic
345C2×C4×C5C2×#4111yescharacteristic
346C2×C4×C5H(5,𝔽2)11yescharacteristic
347C2×C4×C52−1+411yescharacteristic
348C5×C8—22no—
349C5×C8—22no—
350C5×C8—41no—
351C5×C8—41no—
352C22×Q8C23×C511yescharacteristic
353C22×D4—21no—
354C22×D4C23×C511yescharacteristic
355C23×C4—21no—
356C23×C4C23×C511yescharacteristic
357C2×SD16—22no—
358C2×SD16—22no—
359C2×SD16—41no—
360C22×C8C23×C511yescharacteristic
361C22×C8C23×C511yescharacteristic
362C22×C8C23×C511yescharacteristic
363C22×C8C23×C511yescharacteristic
364#125—22no—
365#125—41no—
366C22⋊Q8—22no—
367C22⋊Q8—41no—
368#121—22no—
369#121—22no—
370C4×D4—22no—
371C4×D4—41no—
372#117—22no—
373#117—41no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4C23×C511yescharacteristic
379C2×C4⋊C4C23×C511yescharacteristic
380C2×C4⋊C4C23×C511yescharacteristic
381C2×C4⋊C4C23×C511yescharacteristic
382C2×C4⋊C4C23×C511yescharacteristic
383C2×C4⋊C4C23×C511yescharacteristic
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4C5×D411yescharacteristic
392C2×C22⋊C4C5×D411yescharacteristic
393C2×C42—21no—
394C2×C42—21no—
395C2×C42—21no—
396C2×C42C23×C511yescharacteristic
397C2×C42C23×C511yescharacteristic
398#107—41no—
399#107C5×D414yescomplemented
400#106—22no—
401#106—22no—
402#106—22no—
403C4⋊C8—22no—
404#103—22no—
405#103—22no—
406#103—22no—
407#102—22no—
408#102—22no—
409#102—22no—
410C22⋊C8—22no—
411C22⋊C8—22no—
412#97—22no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95C5×D411yescharacteristic
422#95C5×D411yescharacteristic
423C22×C5—41no—
424C22×C5—41no—
425C22×C5—41no—
426C22×C5—42no—
427C22×C5—41no—
428C22×C5—42no—
429C22×C5—41no—
430C22×C5—42no—
431C22×C5—41no—
432C22×C5—41no—
433C22×C5—81no—
434C22×C5—81no—
435C22×C5—81no—
436C22×C5—81no—
437C22×C5#52511yescharacteristic
438C22×C5D4211yescharacteristic
439C22×C5#54711yescharacteristic
440C22×C5#57511yescharacteristic
441C22×C5#57511yescharacteristic
442C22×C5#57711yescharacteristic
443C22×C5#57711yescharacteristic
444C4×C5—41no—
445C4×C5—41no—
446C4×C5—42no—
447C4×C5—41no—
448C4×C5—41no—
449C4×C5—42no—
450C4×C5—42no—
451C4×C5—41no—
452C4×C5—81no—
453C4×C5—81no—
454C4×C5—81no—
455C4×C5—81no—
456C4×C5#53211yescharacteristic
457C4×C5#54211yescharacteristic
458C4×C5#54811yescharacteristic
459C4×C5#55111yescharacteristic
460C24—21no—
461C24C2×C5×D411yescharacteristic
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×D4—24no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4C5×#4112yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4C2×C5×D411yescharacteristic
494C22×C4C2×C5×D411yescharacteristic
495C22×C4C2×C5×D411yescharacteristic
496C22×C4C2×C5×D411yescharacteristic
497C22×C4C2×C5×D411yescharacteristic
498C22×C4C24×C511yescharacteristic
499SD16—44no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8C2×C5×D412yes—
511C2×C8C5×#4112yes—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—81no—
525C4⋊C4C2×C5×D412yes—
526C4⋊C4C2×C5×D412yes—
527C4⋊C4C5×#4112yes—
528C22⋊C4—24no—
529C22⋊C4—41no—
530C22⋊C4—41no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—81no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—42no—
542C42—42no—
543C42—81no—
544C2×C5—81no—
545C2×C5—82no—
546C2×C5#246111yescharacteristic
547C2×C5#311111yescharacteristic
548C2×C5#312311yescharacteristic
549C2×C5#326711yescharacteristic
550C2×C5#327111yescharacteristic
551C2×C5#334811yescharacteristic
552C2×C5#335111yescharacteristic
553C23—22no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C22×C5×D411yescharacteristic
568Q8—41no—
569Q8—41no—
570Q8—41no—
571Q8—41no—
572D4—22no—
573D4—22no—
574D4—41no—
575D4—41no—
576D4—84no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
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—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4C22×C5×D411yescharacteristic
619C2×C4C2×C5×#4111yescharacteristic
620C2×C4C2×C5×#4111yescharacteristic
621C2×C4C2×C5×#4111yescharacteristic
622C2×C4C5×H(5,𝔽2)11yescharacteristic
623C2×C4C5×2−1+411yescharacteristic
624C8—22no—
625C8—22no—
626C8—41no—
627C8—41no—
628C5#2681311yescharacteristic, direct product factor, Sylow
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—42no—
635C22—41no—
636C22—42no—
637C22—41no—
638C22—42no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22C5×#52511yescharacteristic
644C22C5×D4211yescharacteristic
645C22C5×#54711yescharacteristic
646C22C5×#57511yescharacteristic
647C22C5×#57511yescharacteristic
648C22C5×#57711yescharacteristic
649C22C5×#57711yescharacteristic
650C4—41no—
651C4—42no—
652C4—42no—
653C4—41no—
654C4—41no—
655C4—41no—
656C4—42no—
657C4—41no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4C5×#53211yescharacteristic
663C4C5×#54211yescharacteristic
664C4C5×#54811yescharacteristic
665C4C5×#55111yescharacteristic
666C2—81no—
667C2—82no—
668C2C5×#246111yescharacteristic
669C2C5×#311111yescharacteristic
670C2C5×#312311yescharacteristic
671C2C5×#326711yescharacteristic
672C2C5×#327111yescharacteristic
673C2C5×#334811yescharacteristic
674C2C5×#335111yescharacteristic
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. C2×C5×#485C2semidirect
2. C2×C5×#478C2semidirect
3. C5×#2489C2semidirect
5. C5×#2066C2semidirect
6. C5×#2059C2semidirect
9. C5×#1973C2semidirect
10. C5×#1927C2semidirect
11. C5×#1926C2semidirect
12. C5×#1924C2semidirect
13. C5×#1877C2semidirect
14. C5×#1854C2semidirect
15. C5×#1776C2semidirect
61. #26813C5direct (N × H)
109. C5×#107D4semidirect
133. C2×#485C2×C5semidirect
134. C2×#478C2×C5semidirect
135. #2489C2×C5semidirect
137. #2066C2×C5semidirect
138. #2059C2×C5semidirect
141. #1973C2×C5semidirect
142. #1927C2×C5semidirect
143. #1926C2×C5semidirect
144. #1924C2×C5semidirect
145. #1877C2×C5semidirect
146. #1854C2×C5semidirect
147. #1776C2×C5semidirect
399. #107C5×D4semidirect
628. C5#26813direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4852
C2×C5×#4782
C5×#24892
C5×#23632
C5×#20662
C5×#20592
C5×#20342
C5×#20002
C5×#19732
C5×#19272
C5×#19262
C5×#19242
C5×#18772
C5×#18542
C5×#17762
#268135