Finite Group Databasebeta

← C5×#29468 #11952188

Subgroups — C5×#29468 #11952188

Order 1280.

798 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2624C211yesmaximal, characteristic, complemented
2C5×#2324C211yesmaximal, characteristic, complemented
3C5×#2076C211yesmaximal, characteristic, complemented
4C5×#2033C211yesmaximal, characteristic, complemented
5C5×#2033C211yesmaximal, characteristic, complemented
6C5×#1999C211yesmaximal, characteristic
7C5×#1970C211yesmaximal, characteristic, complemented
8C5×#1942C211yesmaximal, characteristic, complemented
9C5×#1936C211yesmaximal, characteristic, complemented
10C5×#1936C211yesmaximal, characteristic, complemented
11C5×#1925C211yesmaximal, characteristic, complemented
12C5×#1921C211yesmaximal, characteristic, complemented
13C5×#1879C211yesmaximal, characteristic, complemented
14C5×#1862C211yesmaximal, characteristic, complemented
15C5×#1750C211yesmaximal, characteristic, complemented
16C22×C5×D8C2211yescharacteristic
17C2×C5×#121C2211yescharacteristic
18C2×C5×#121C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×C5×#117C2211yescharacteristic
21C2×C5×#107C2211yescharacteristic
22C2×C5×#107C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#102C2211yescharacteristic
25C2×C5×#102C2211yescharacteristic
26C2×C5×#102C2211yescharacteristic
27C2×C5×#102C2211yescharacteristic
28C2×C5×#102C2211yescharacteristic
29C2×C5×#102C2211yescharacteristic
30C2×C5×C22⋊C8C2211yescharacteristic
31C2×C5×C22⋊C8C2211yescharacteristic
32C2×C5×#97C2211yescharacteristic
33C2×C4×C5×C8C2211yescharacteristic
34C5×#399—21no—
35C5×#397—21no—
36C5×#394—21no—
37C5×#394—21no—
38C5×#390—21no—
39C5×#390C2211yescharacteristic
40C5×#390C2211yescharacteristic
41C5×#390C2211yescharacteristic
42C5×#389C2211yescharacteristic
43C5×#389C2211yescharacteristic
44C5×#389C2211yescharacteristic
45C5×#388—21no—
46C5×#386—21no—
47C5×#385—21no—
48C5×#380C2211yescharacteristic
49C5×#380C2211yescharacteristic
50C4×C5×C4⋊C4C2211yescharacteristic
51C5×#340C2211yescharacteristic
52C5×#340C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59#29468C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×D4—21no—
61C22×C5×D4—21no—
62C22×C5×D4C2311yescharacteristic
63C22×C5×D4C2311yescharacteristic
64C23×C4×C5—21no—
65C23×C4×C5C2311yescharacteristic
66C2×C5×D8—22no—
67C2×C5×D8—22no—
68C2×C5×D8—41no—
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C5×#121—22no—
74C5×#121—22no—
75C5×#121—41no—
76C5×#121—41no—
77C4×C5×D4—41no—
78C4×C5×D4—41no—
79C5×#117—41no—
80C5×#117—41no—
81C2×C5×C4⋊C4—21no—
82C2×C5×C4⋊C4—21no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4D411yescharacteristic
85C2×C5×C4⋊C4D411yescharacteristic
86C2×C5×C4⋊C4C2311yescharacteristic
87C2×C5×C4⋊C4C2311yescharacteristic
88C2×C5×C4⋊C4C2311yescharacteristic
89C2×C5×C4⋊C4C2311yescharacteristic
90C2×C5×C4⋊C4C2311yescharacteristic
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C22⋊C4—21no—
93C2×C5×C22⋊C4—21no—
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⋊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—22no—
110C5×#107—41no—
111C5×#102—22no—
112C5×#102—22no—
113C5×#102—22no—
114C5×#102—22no—
115C5×#102—41no—
116C5×#102—41no—
117C5×C22⋊C8—22no—
118C5×C22⋊C8—22no—
119C5×#97—41no—
120C4×C5×C8—41no—
121C5×#95—21no—
122C5×#95—21no—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127#2624C2×C511yescharacteristic, complemented
128#2324C2×C511yescharacteristic, complemented
129#2076C2×C511yescharacteristic, complemented
130#2033C2×C511yescharacteristic, complemented
131#2033C2×C511yescharacteristic, complemented
132#1999C2×C511yescharacteristic
133#1970C2×C511yescharacteristic, complemented
134#1942C2×C511yescharacteristic, complemented
135#1936C2×C511yescharacteristic, complemented
136#1936C2×C511yescharacteristic, complemented
137#1925C2×C511yescharacteristic, complemented
138#1921C2×C511yescharacteristic, complemented
139#1879C2×C511yescharacteristic, complemented
140#1862C2×C511yescharacteristic, complemented
141#1750C2×C511yescharacteristic, complemented
142C24×C5—21no—
143C24×C5—21no—
144C24×C5C2×D411yescharacteristic
145C2×C5×D4—24no—
146C2×C5×D4—21no—
147C2×C5×D4—21no—
148C2×C5×D4—21no—
149C2×C5×D4—21no—
150C2×C5×D4—21no—
151C2×C5×D4—21no—
152C2×C5×D4—21no—
153C2×C5×D4—21no—
154C2×C5×D4—21no—
155C2×C5×D4—21no—
156C2×C5×D4—21no—
157C2×C5×D4—42no—
158C2×C5×D4—81no—
159C2×C5×D4—81no—
160C2×C5×D4—81no—
161C2×C5×D4—81no—
162C2×C5×D4#4112yes—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
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—42no—
176C22×C4×C5—81no—
177C22×C4×C5—81no—
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5C2×D411yescharacteristic
180C22×C4×C5C2×D411yescharacteristic
181C22×C4×C5C2×D411yescharacteristic
182C22×C4×C5C2×D411yescharacteristic
183C22×C4×C5C2411yescharacteristic
184C5×D8—44no—
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—21no—
193C2×C5×C8—21no—
194C2×C5×C8—21no—
195C2×C5×C8#4112yes—
196C2×C5×C8#4112yes—
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—21no—
206C5×C4⋊C4—21no—
207C5×C4⋊C4—21no—
208C5×C4⋊C4—41no—
209C5×C4⋊C4—41no—
210C5×C4⋊C4—81no—
211C5×C4⋊C4—81no—
212C5×C4⋊C4—81no—
213C5×C4⋊C4#4112yes—
214C5×C22⋊C4—24no—
215C5×C22⋊C4—41no—
216C5×C22⋊C4—41no—
217C5×C22⋊C4—42no—
218C5×C22⋊C4—42no—
219C5×C22⋊C4—81no—
220C5×C22⋊C4—81no—
221C5×C22⋊C4—81no—
222C5×C22⋊C4—81no—
223C5×C22⋊C4—81no—
224C5×C22⋊C4—81no—
225C5×C22⋊C4—81no—
226C5×C22⋊C4—81no—
227C42×C5—21no—
228C42×C5—21no—
229C42×C5—21no—
230C42×C5—21no—
231C42×C5—81no—
232C22×D8C22×C511yescharacteristic
233C2×#121C22×C511yescharacteristic
234C2×#121C22×C511yescharacteristic
235C2×C4×D4C22×C511yescharacteristic
236C2×#117C22×C511yescharacteristic
237C2×#107C22×C511yescharacteristic
238C2×#107C22×C511yescharacteristic
239C2×#107C22×C511yescharacteristic
240C2×#102C22×C511yescharacteristic
241C2×#102C22×C511yescharacteristic
242C2×#102C22×C511yescharacteristic
243C2×#102C22×C511yescharacteristic
244C2×#102C22×C511yescharacteristic
245C2×#102C22×C511yescharacteristic
246C2×C22⋊C8C22×C511yescharacteristic
247C2×C22⋊C8C22×C511yescharacteristic
248C2×#97C22×C511yescharacteristic
249C2×C4×C8C22×C511yescharacteristic
250#399—21no—
251#397—21no—
252#394—21no—
253#394—21no—
254#390—21no—
255#390C22×C511yescharacteristic
256#390C22×C511yescharacteristic
257#390C22×C511yescharacteristic
258#389C22×C511yescharacteristic
259#389C22×C511yescharacteristic
260#389C22×C511yescharacteristic
261#388—21no—
262#386—21no—
263#385—21no—
264#380C22×C511yescharacteristic
265#380C22×C511yescharacteristic
266C4×C4⋊C4C22×C511yescharacteristic
267#340C22×C511yescharacteristic
268#340C22×C511yescharacteristic
269#340C22×C511yescharacteristic
270#340C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#336C22×C511yescharacteristic
274#336C22×C511yescharacteristic
275C23×C5—22no—
276C23×C5—21no—
277C23×C5—21no—
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—41no—
284C23×C5—41no—
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×C5—41no—
296C23×C5C22×D411yescharacteristic
297C5×D4—22no—
298C5×D4—22no—
299C5×D4—41no—
300C5×D4—41no—
301C5×D4—41no—
302C5×D4—41no—
303C5×D4—41no—
304C5×D4—41no—
305C5×D4—84no—
306C5×D4—84no—
307C2×C4×C5—21no—
308C2×C4×C5—22no—
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—21no—
320C2×C4×C5—21no—
321C2×C4×C5—21no—
322C2×C4×C5—21no—
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—41no—
342C2×C4×C5—41no—
343C2×C4×C5—41no—
344C2×C4×C5—84no—
345C2×C4×C5C2×#4111yescharacteristic
346C2×C4×C5C2×#4111yescharacteristic
347C2×C4×C5C2×#4111yescharacteristic
348C2×C4×C5C2×#4111yescharacteristic
349C2×C4×C5H(5,𝔽2)11yescharacteristic
350C2×C4×C5H(5,𝔽2)11yescharacteristic
351C5×C8—22no—
352C5×C8—22no—
353C5×C8—41no—
354C5×C8—41no—
355C22×D4—21no—
356C22×D4—21no—
357C22×D4C23×C511yescharacteristic
358C22×D4C23×C511yescharacteristic
359C23×C4—21no—
360C23×C4C23×C511yescharacteristic
361C2×D8—22no—
362C2×D8—22no—
363C2×D8—41no—
364C22×C8C23×C511yescharacteristic
365C22×C8C23×C511yescharacteristic
366C22×C8C23×C511yescharacteristic
367C22×C8C23×C511yescharacteristic
368#121—22no—
369#121—22no—
370#121—41no—
371#121—41no—
372C4×D4—41no—
373C4×D4—41no—
374#117—41no—
375#117—41no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4C5×D411yescharacteristic
380C2×C4⋊C4C5×D411yescharacteristic
381C2×C4⋊C4C23×C511yescharacteristic
382C2×C4⋊C4C23×C511yescharacteristic
383C2×C4⋊C4C23×C511yescharacteristic
384C2×C4⋊C4C23×C511yescharacteristic
385C2×C4⋊C4C23×C511yescharacteristic
386C2×C4⋊C4C23×C511yescharacteristic
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—21no—
398C2×C22⋊C4C5×D411yescharacteristic
399C2×C22⋊C4C5×D411yescharacteristic
400C2×C42—21no—
401C2×C42C23×C511yescharacteristic
402C2×C42C23×C511yescharacteristic
403#107—22no—
404#107—22no—
405#107—41no—
406#102—22no—
407#102—22no—
408#102—22no—
409#102—22no—
410#102—41no—
411#102—41no—
412C22⋊C8—22no—
413C22⋊C8—22no—
414#97—41no—
415C4×C8—41no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—21no—
422C22×C5—41no—
423C22×C5—42no—
424C22×C5—41no—
425C22×C5—42no—
426C22×C5—41no—
427C22×C5—42no—
428C22×C5—41no—
429C22×C5—41no—
430C22×C5—41no—
431C22×C5—41no—
432C22×C5—81no—
433C22×C5—81no—
434C22×C5—81no—
435C22×C5—81no—
436C22×C5—81no—
437C22×C5—81no—
438C22×C5—81no—
439C22×C5—81no—
440C22×C5—81no—
441C22×C5—81no—
442C22×C5—81no—
443C22×C5#52511yescharacteristic
444C22×C5#53211yescharacteristic
445C22×C5#53411yescharacteristic
446C22×C5#57611yescharacteristic
447C22×C5#57611yescharacteristic
448C22×C5#57611yescharacteristic
449C22×C5#57811yescharacteristic
450C4×C5—41no—
451C4×C5—42no—
452C4×C5—41no—
453C4×C5—41no—
454C4×C5—41no—
455C4×C5—41no—
456C4×C5—81no—
457C4×C5—81no—
458C4×C5—81no—
459C4×C5—81no—
460C4×C5—81no—
461C4×C5#55111yescharacteristic
462C4×C5#55311yescharacteristic
463C4×C5#55311yescharacteristic
464C4×C5#55911yescharacteristic
465C24—21no—
466C24—21no—
467C24C2×C5×D411yescharacteristic
468C2×D4—24no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—42no—
481C2×D4—81no—
482C2×D4—81no—
483C2×D4—81no—
484C2×D4—81no—
485C2×D4C5×#4112yes—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—42no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4C2×C5×D411yescharacteristic
502C22×C4C2×C5×D411yescharacteristic
503C22×C4C2×C5×D411yescharacteristic
504C22×C4C2×C5×D411yescharacteristic
505C22×C4C2×C5×D411yescharacteristic
506C22×C4C24×C511yescharacteristic
507D8—44no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8C5×#4112yes—
519C2×C8C5×#4112yes—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—41no—
532C4⋊C4—41no—
533C4⋊C4—81no—
534C4⋊C4—81no—
535C4⋊C4—81no—
536C4⋊C4C5×#4112yes—
537C22⋊C4—24no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—81no—
555C2×C5—81no—
556C2×C5—82no—
557C2×C5—161no—
558C2×C5#260211yescharacteristic
559C2×C5#312211yescharacteristic
560C2×C5#312411yescharacteristic
561C2×C5#317511yescharacteristic
562C2×C5#317611yescharacteristic
563C2×C5#319911yescharacteristic
564C2×C5#320311yescharacteristic
565C23—22no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23C22×C5×D411yescharacteristic
587D4—22no—
588D4—22no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—84no—
596D4—84no—
597C2×C4—21no—
598C2×C4—22no—
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—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
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—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—84no—
635C2×C4C2×C5×#4111yescharacteristic
636C2×C4C2×C5×#4111yescharacteristic
637C2×C4C2×C5×#4111yescharacteristic
638C2×C4C2×C5×#4111yescharacteristic
639C2×C4C5×H(5,𝔽2)11yescharacteristic
640C2×C4C5×H(5,𝔽2)11yescharacteristic
641C8—22no—
642C8—22no—
643C8—41no—
644C8—41no—
645C5#2946811yescharacteristic, direct product factor, Sylow
646C22—41no—
647C22—42no—
648C22—41no—
649C22—42no—
650C22—41no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22C5×#52511yescharacteristic
668C22C5×#53211yescharacteristic
669C22C5×#53411yescharacteristic
670C22C5×#57611yescharacteristic
671C22C5×#57611yescharacteristic
672C22C5×#57611yescharacteristic
673C22C5×#57811yescharacteristic
674C4—41no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—81no—
681C4—81no—
682C4—81no—
683C4—81no—
684C4—81no—
685C4C5×#55111yescharacteristic
686C4C5×#55311yescharacteristic
687C4C5×#55311yescharacteristic
688C4C5×#55911yescharacteristic
689C2—81no—
690C2—82no—
691C2—161no—
692C2C5×#260211yescharacteristic
693C2C5×#312211yescharacteristic
694C2C5×#312411yescharacteristic
695C2C5×#317511yescharacteristic
696C2C5×#317611yescharacteristic
697C2C5×#319911yescharacteristic
698C2C5×#320311yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC5×#1999C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C2×C5×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#2624C2semidirect
2. C5×#2324C2semidirect
3. C5×#2076C2semidirect
4. C5×#2033C2semidirect
5. C5×#2033C2semidirect
7. C5×#1970C2semidirect
8. C5×#1942C2semidirect
9. C5×#1936C2semidirect
10. C5×#1936C2semidirect
11. C5×#1925C2semidirect
12. C5×#1921C2semidirect
13. C5×#1879C2semidirect
14. C5×#1862C2semidirect
15. C5×#1750C2semidirect
59. #29468C5direct (N × H)
127. #2624C2×C5semidirect
128. #2324C2×C5semidirect
129. #2076C2×C5semidirect
130. #2033C2×C5semidirect
131. #2033C2×C5semidirect
133. #1970C2×C5semidirect
134. #1942C2×C5semidirect
135. #1936C2×C5semidirect
136. #1936C2×C5semidirect
137. #1925C2×C5semidirect
138. #1921C2×C5semidirect
139. #1879C2×C5semidirect
140. #1862C2×C5semidirect
141. #1750C2×C5semidirect
645. C5#29468direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#26242
C5×#23242
C5×#20762
C5×#20332
C5×#19992
C5×#19702
C5×#19422
C5×#19362
C5×#19252
C5×#19212
C5×#18792
C5×#18622
C5×#17502
#294685