Finite Group Databasebeta

← C5×#26160 #11948880

Subgroups — C5×#26160 #11948880

Order 1280.

908 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#463C211yesmaximal, characteristic
2C2×C4×C5×D8C211yesmaximal, characteristic
3C5×#2447C211yesmaximal, characteristic, complemented
4C5×#2349C211yesmaximal, characteristic, complemented
5C5×#2097C211yesmaximal, characteristic, complemented
6C5×#2086C211yesmaximal, characteristic, complemented
7C5×#2073C211yesmaximal, characteristic, complemented
8C5×#2042C211yesmaximal, characteristic, complemented
9C5×#1933C211yesmaximal, characteristic, complemented
10C5×#1916C211yesmaximal, characteristic, complemented
11C5×#1879C211yesmaximal, characteristic
12C5×#1877C211yesmaximal, characteristic, complemented
13C5×#1877C211yesmaximal, characteristic, complemented
14C5×#1864C211yesmaximal, characteristic, complemented
15C5×#1864C211yesmaximal, characteristic, complemented
16C22×C5×SD16C2211yescharacteristic
17C22×C5×D8C2211yescharacteristic
18C2×C5×#124C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×C4×C5×D4C2211yescharacteristic
22C2×C4×C5×D4C2211yescharacteristic
23C5×#463—24no—
24C4×C5×D8—24no—
25C2×C5×#107C2211yescharacteristic
26C2×C5×#106C2211yescharacteristic
27C2×C5×C4⋊C8C2211yescharacteristic
28C2×C5×#103C2211yescharacteristic
29C2×C5×#103C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#102C2211yescharacteristic
32C2×C5×#102C2211yescharacteristic
33C2×C5×#102C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C4×C5×C8C2211yescharacteristic
37C5×#397—21no—
38C5×#397—21no—
39C5×#391C2211yescharacteristic
40C5×#391C2211yescharacteristic
41C5×#390C2211yescharacteristic
42C5×#389C2211yescharacteristic
43C5×#389C2211yescharacteristic
44C5×#389C2211yescharacteristic
45C5×#385—21no—
46C5×#385—21no—
47C5×#385—21no—
48C5×#382C2211yescharacteristic
49C5×#381—21no—
50C5×#380—21no—
51C4×C5×C4⋊C4C2211yescharacteristic
52C2×C5×#95—21no—
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26160C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8C2311yescharacteristic
63C22×C5×D4C2311yescharacteristic
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5—21no—
66C23×C4×C5—21no—
67C23×C4×C5—21no—
68C23×C4×C5—21no—
69C2×C5×SD16—22no—
70C2×C5×SD16—22no—
71C2×C5×SD16—22no—
72C2×C5×D8—22no—
73C2×C5×D8—22no—
74C2×C5×D8D414yes—
75C22×C5×C8C2311yescharacteristic
76C22×C5×C8C2311yescharacteristic
77C22×C5×C8C2311yescharacteristic
78C22×C5×C8C2311yescharacteristic
79C5×#124—22no—
80C5×#124—41no—
81C4×C5×D4—22no—
82C4×C5×D4—22no—
83C4×C5×D4—22no—
84C4×C5×D4—22no—
85C4×C5×D4—22no—
86C4×C5×D4—41no—
87C4×C5×D4—41no—
88C4×C5×D4—41no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—21no—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4D411yescharacteristic
93C2×C5×C4⋊C4D411yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
105C2×C5×C22⋊C4—21no—
106C2×C5×C22⋊C4—21no—
107C2×C42×C5C2311yescharacteristic
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C5×#107—22no—
111C5×#106—41no—
112C5×C4⋊C8—22no—
113C5×#103—22no—
114C5×#103—22no—
115C5×#103—41no—
116C5×#102—22no—
117C5×#102—22no—
118C5×#102—22no—
119C5×#102—22no—
120C5×#102—22no—
121C4×C5×C8—22no—
122C5×#95—21no—
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×#463C2×C511yescharacteristic
134C2×C4×D8C2×C511yescharacteristic
135#2447C2×C511yescharacteristic, complemented
136#2349C2×C511yescharacteristic, complemented
137#2097C2×C511yescharacteristic, complemented
138#2086C2×C511yescharacteristic, complemented
139#2073C2×C511yescharacteristic, complemented
140#2042C2×C511yescharacteristic, complemented
141#1933C2×C511yescharacteristic, complemented
142#1916C2×C511yescharacteristic, complemented
143#1879C2×C511yescharacteristic
144#1877C2×C511yescharacteristic, complemented
145#1877C2×C511yescharacteristic, complemented
146#1864C2×C511yescharacteristic, complemented
147#1864C2×C511yescharacteristic, complemented
148C24×C5—21no—
149C24×C5—21no—
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—21no—
157C2×C5×D4—21no—
158C2×C5×D4—21no—
159C2×C5×D4—21no—
160C2×C5×D4—21no—
161C2×C5×D4—21no—
162C2×C5×D4—21no—
163C2×C5×D4—21no—
164C2×C5×D4C2×D412yes—
165C2×C5×D4C2×D412yes—
166C2×C5×D4#4112yes—
167C2×C5×D4#4112yes—
168C22×C4×C5—21no—
169C22×C4×C5—24no—
170C22×C4×C5—21no—
171C22×C4×C5—21no—
172C22×C4×C5—21no—
173C22×C4×C5—21no—
174C22×C4×C5—21no—
175C22×C4×C5—42no—
176C22×C4×C5—42no—
177C22×C4×C5—42no—
178C22×C4×C5—42no—
179C22×C4×C5—42no—
180C22×C4×C5—42no—
181C22×C4×C5—81no—
182C22×C4×C5—81no—
183C22×C4×C5—81no—
184C22×C4×C5—81no—
185C22×C4×C5—81no—
186C22×C4×C5C2×D411yescharacteristic
187C22×C4×C5C2×D411yescharacteristic
188C22×C4×C5C2×D411yescharacteristic
189C22×C4×C5C2×D411yescharacteristic
190C22×C4×C5C2×D411yescharacteristic
191C22×C4×C5C2×D411yescharacteristic
192C22×C4×C5C2411yescharacteristic
193C5×SD16—44no—
194C5×D8—28no—
195C2×C5×C8—21no—
196C2×C5×C8—21no—
197C2×C5×C8—21no—
198C2×C5×C8—21no—
199C2×C5×C8—21no—
200C2×C5×C8—21no—
201C2×C5×C8—21no—
202C2×C5×C8—21no—
203C2×C5×C8—21no—
204C2×C5×C8—21no—
205C2×C5×C8—21no—
206C2×C5×C8C2×D412yes—
207C5×C4⋊C4—22no—
208C5×C4⋊C4—21no—
209C5×C4⋊C4—21no—
210C5×C4⋊C4—21no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—21no—
213C5×C4⋊C4—21no—
214C5×C4⋊C4—21no—
215C5×C4⋊C4—21no—
216C5×C4⋊C4—21no—
217C5×C4⋊C4—41no—
218C5×C4⋊C4—81no—
219C5×C4⋊C4—81no—
220C5×C4⋊C4—81no—
221C5×C4⋊C4#4112yes—
222C5×C22⋊C4—24no—
223C5×C22⋊C4—42no—
224C5×C22⋊C4—42no—
225C5×C22⋊C4—42no—
226C5×C22⋊C4—42no—
227C5×C22⋊C4—42no—
228C5×C22⋊C4—42no—
229C5×C22⋊C4—81no—
230C42×C5—21no—
231C42×C5—21no—
232C42×C5—21no—
233C42×C5—21no—
234C42×C5—21no—
235C42×C5—21no—
236C22×SD16C22×C511yescharacteristic
237C22×D8C22×C511yescharacteristic
238C2×#124C22×C511yescharacteristic
239C2×C4×D4C22×C511yescharacteristic
240C2×C4×D4C22×C511yescharacteristic
241C2×C4×D4C22×C511yescharacteristic
242C2×C4×D4C22×C511yescharacteristic
243#463—24no—
244C4×D8—24no—
245C2×#107C22×C511yescharacteristic
246C2×#106C22×C511yescharacteristic
247C2×C4⋊C8C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#103C22×C511yescharacteristic
251C2×#102C22×C511yescharacteristic
252C2×#102C22×C511yescharacteristic
253C2×#102C22×C511yescharacteristic
254C2×#102C22×C511yescharacteristic
255C2×#102C22×C511yescharacteristic
256C2×C4×C8C22×C511yescharacteristic
257#397—21no—
258#397—21no—
259#391C22×C511yescharacteristic
260#391C22×C511yescharacteristic
261#390C22×C511yescharacteristic
262#389C22×C511yescharacteristic
263#389C22×C511yescharacteristic
264#389C22×C511yescharacteristic
265#385—21no—
266#385—21no—
267#385—21no—
268#382C22×C511yescharacteristic
269#381—21no—
270#380—21no—
271C4×C4⋊C4C22×C511yescharacteristic
272C2×#95—21no—
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#340C22×C511yescharacteristic
277#336C22×C511yescharacteristic
278#336C22×C511yescharacteristic
279#336C22×C511yescharacteristic
280#336C22×C511yescharacteristic
281C23×C5—22no—
282C23×C5—22no—
283C23×C5—22no—
284C23×C5—22no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5—41no—
291C23×C5—41no—
292C23×C5—41no—
293C23×C5—41no—
294C23×C5—41no—
295C23×C5C22×D411yescharacteristic
296C5×Q8—41no—
297C5×Q8—41no—
298C5×Q8—41no—
299C5×Q8—41no—
300C5×D4—22no—
301C5×D4—22no—
302C5×D4—22no—
303C5×D4—22no—
304C5×D4—22no—
305C5×D4—41no—
306C5×D4—41no—
307C5×D4#12314yes—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—22no—
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—21no—
320C2×C4×C5—21no—
321C2×C4×C5—21no—
322C2×C4×C5—21no—
323C2×C4×C5—21no—
324C2×C4×C5—21no—
325C2×C4×C5—21no—
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—41no—
342C2×C4×C5—41no—
343C2×C4×C5—84no—
344C2×C4×C5—84no—
345C2×C4×C5—84no—
346C2×C4×C5—84no—
347C2×C4×C5#13512yes—
348C2×C4×C5C22×D411yescharacteristic
349C2×C4×C5C2×#4111yescharacteristic
350C2×C4×C5C2×#4111yescharacteristic
351C2×C4×C5C2×#4111yescharacteristic
352C2×C4×C5H(5,𝔽2)11yescharacteristic
353C2×C4×C52−1+411yescharacteristic
354C5×C8—22no—
355C5×C8—41no—
356C5×C8—41no—
357C5×C8—41no—
358C22×Q8C23×C511yescharacteristic
359C22×D4C23×C511yescharacteristic
360C22×D4C23×C511yescharacteristic
361C23×C4—21no—
362C23×C4—21no—
363C23×C4—21no—
364C23×C4—21no—
365C2×SD16—22no—
366C2×SD16—22no—
367C2×SD16—22no—
368C2×D8—22no—
369C2×D8—22no—
370C2×D8C5×D414yes—
371C22×C8C23×C511yescharacteristic
372C22×C8C23×C511yescharacteristic
373C22×C8C23×C511yescharacteristic
374C22×C8C23×C511yescharacteristic
375#124—22no—
376#124—41no—
377C4×D4—22no—
378C4×D4—22no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4—41no—
383C4×D4—41no—
384C4×D4—41no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4C5×D411yescharacteristic
389C2×C4⋊C4C5×D411yescharacteristic
390C2×C4⋊C4C23×C511yescharacteristic
391C2×C4⋊C4C23×C511yescharacteristic
392C2×C4⋊C4C23×C511yescharacteristic
393C2×C4⋊C4C23×C511yescharacteristic
394C2×C4⋊C4C23×C511yescharacteristic
395C2×C22⋊C4—21no—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—21no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—21no—
403C2×C42C23×C511yescharacteristic
404C2×C42C23×C511yescharacteristic
405C2×C42C23×C511yescharacteristic
406#107—22no—
407#106—41no—
408C4⋊C8—22no—
409#103—22no—
410#103—22no—
411#103—41no—
412#102—22no—
413#102—22no—
414#102—22no—
415#102—22no—
416#102—22no—
417C4×C8—22no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95C5×D411yescharacteristic
428#95C5×D411yescharacteristic
429C22×C5—24no—
430C22×C5—42no—
431C22×C5—42no—
432C22×C5—42no—
433C22×C5—42no—
434C22×C5—42no—
435C22×C5—42no—
436C22×C5—42no—
437C22×C5—42no—
438C22×C5—42no—
439C22×C5—81no—
440C22×C5—81no—
441C22×C5—81no—
442C22×C5—81no—
443C22×C5#52511yescharacteristic
444C22×C5D4211yescharacteristic
445C22×C5#54811yescharacteristic
446C22×C5C2×#13511yescharacteristic
447C22×C5#57511yescharacteristic
448C22×C5#57611yescharacteristic
449C22×C5#57711yescharacteristic
450C4×C5—22no—
451C4×C5—41no—
452C4×C5—41no—
453C4×C5—42no—
454C4×C5—41no—
455C4×C5—41no—
456C4×C5—41no—
457C4×C5—81no—
458C4×C5—81no—
459C4×C5—81no—
460C4×C5—81no—
461C4×C5—81no—
462C4×C5C2×#12311yescharacteristic
463C4×C5#53911yescharacteristic
464C4×C5#54711yescharacteristic
465C4×C5#55311yescharacteristic
466C24—21no—
467C24—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4C2×C5×D412yes—
483C2×D4C2×C5×D412yes—
484C2×D4C5×#4112yes—
485C2×D4C5×#4112yes—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4C2×C5×D411yescharacteristic
505C22×C4C2×C5×D411yescharacteristic
506C22×C4C2×C5×D411yescharacteristic
507C22×C4C2×C5×D411yescharacteristic
508C22×C4C2×C5×D411yescharacteristic
509C22×C4C2×C5×D411yescharacteristic
510C22×C4C24×C511yescharacteristic
511SD16—44no—
512D8—28no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8C2×C5×D412yes—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—41no—
536C4⋊C4—81no—
537C4⋊C4—81no—
538C4⋊C4—81no—
539C4⋊C4C5×#4112yes—
540C22⋊C4—24no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—81no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C2×C5—44no—
555C2×C5—82no—
556C2×C5#244311yescharacteristic
557C2×C5#310211yescharacteristic
558C2×C5#311811yescharacteristic
559C2×C5#326711yescharacteristic
560C2×C5#328011yescharacteristic
561C2×C5#336011yescharacteristic
562C2×C5#337011yescharacteristic
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23C22×C5×D411yescharacteristic
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582D4—22no—
583D4—22no—
584D4—22no—
585D4—22no—
586D4—22no—
587D4—41no—
588D4—41no—
589D4C5×#12314yes—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
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—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—84no—
626C2×C4—84no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4C5×#13512yes—
630C2×C4C22×C5×D411yescharacteristic
631C2×C4C2×C5×#4111yescharacteristic
632C2×C4C2×C5×#4111yescharacteristic
633C2×C4C2×C5×#4111yescharacteristic
634C2×C4C5×H(5,𝔽2)11yescharacteristic
635C2×C4C5×2−1+411yescharacteristic
636C8—22no—
637C8—41no—
638C8—41no—
639C8—41no—
640C5#2616011yescharacteristic, direct product factor, Sylow
641C22—24no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22C5×#52511yescharacteristic
656C22C5×D4211yescharacteristic
657C22C5×#54811yescharacteristic
658C22C2×C5×#13511yescharacteristic
659C22C5×#57511yescharacteristic
660C22C5×#57611yescharacteristic
661C22C5×#57711yescharacteristic
662C4—22no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—42no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—81no—
674C4C2×C5×#12311yescharacteristic
675C4C5×#53911yescharacteristic
676C4C5×#54711yescharacteristic
677C4C5×#55311yescharacteristic
678C2—44no—
679C2—82no—
680C2C5×#244311yescharacteristic
681C2C5×#310211yescharacteristic
682C2C5×#311811yescharacteristic
683C2C5×#326711yescharacteristic
684C2C5×#328011yescharacteristic
685C2C5×#336011yescharacteristic
686C2C5×#337011yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C4×C5×C4⋊C4 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. C5×#2447C2semidirect
4. C5×#2349C2semidirect
5. C5×#2097C2semidirect
6. C5×#2086C2semidirect
7. C5×#2073C2semidirect
8. C5×#2042C2semidirect
9. C5×#1933C2semidirect
10. C5×#1916C2semidirect
12. C5×#1877C2semidirect
13. C5×#1877C2semidirect
14. C5×#1864C2semidirect
15. C5×#1864C2semidirect
61. #26160C5direct (N × H)
135. #2447C2×C5semidirect
136. #2349C2×C5semidirect
137. #2097C2×C5semidirect
138. #2086C2×C5semidirect
139. #2073C2×C5semidirect
140. #2042C2×C5semidirect
141. #1933C2×C5semidirect
142. #1916C2×C5semidirect
144. #1877C2×C5semidirect
145. #1877C2×C5semidirect
146. #1864C2×C5semidirect
147. #1864C2×C5semidirect
640. C5#26160direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4632
C2×C4×C5×D82
C5×#24472
C5×#23492
C5×#20972
C5×#20862
C5×#20732
C5×#20422
C5×#19332
C5×#19162
C5×#18792
C5×#18772
C5×#18642
#261605