Finite Group Databasebeta

← C5×#32736 #11955456

Subgroups — C5×#32736 #11955456

Order 1280.

724 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2625C211yesmaximal, characteristic, complemented
2C5×#2620C211yesmaximal, characteristic
3C5×#2099C211yesmaximal, characteristic, complemented
4C5×#2095C211yesmaximal, characteristic, complemented
5C5×#2068C211yesmaximal, characteristic, complemented
6C5×#2067C211yesmaximal, characteristic, complemented
7C5×#2056C211yesmaximal, characteristic, complemented
8C5×#2055C211yesmaximal, characteristic, complemented
9C5×#2042C211yesmaximal, characteristic, complemented
10C5×#2036C211yesmaximal, characteristic, complemented
11C5×#2033C211yesmaximal, characteristic
12C5×#2015C211yesmaximal, characteristic, complemented
13C5×#2001C211yesmaximal, characteristic, complemented
14C5×#2000C211yesmaximal, characteristic
15C5×#1798C211yesmaximal, characteristic, complemented
16C22×C5×Q16C2211yescharacteristic
17C22×C5×SD16C2211yescharacteristic
18C2×C5×#124C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×C22⋊Q8C2211yescharacteristic
21C2×C5×#121C2211yescharacteristic
22C2×C5×#117C2211yescharacteristic
23C2×C5×#107C2211yescharacteristic
24C2×C5×#107C2211yescharacteristic
25C2×C5×C4⋊C8C2211yescharacteristic
26C2×C5×C4⋊C8C2211yescharacteristic
27C2×C5×#103C2211yescharacteristic
28C2×C5×#103C2211yescharacteristic
29C2×C5×#103C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#102C2211yescharacteristic
33C2×C5×#102C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×C22⋊C8C2211yescharacteristic
36C2×C5×C22⋊C8C2211yescharacteristic
37C5×#400—21no—
38C5×#398—21no—
39C5×#397—21no—
40C5×#397—21no—
41C5×#396—21no—
42C5×#396—21no—
43C5×#394—21no—
44C5×#394—21no—
45C5×#391C2211yescharacteristic
46C5×#391C2211yescharacteristic
47C5×#391C2211yescharacteristic
48C5×#390C2211yescharacteristic
49C5×#389C2211yescharacteristic
50C5×#389C2211yescharacteristic
51C5×#384C2211yescharacteristic
52C5×#380C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59#32736C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×Q8C2311yescharacteristic
61C22×C5×Q8C2311yescharacteristic
62C22×C5×D4—21no—
63C22×C5×D4C2311yescharacteristic
64C23×C4×C5C2311yescharacteristic
65C2×C5×Q16—41no—
66C2×C5×Q16—41no—
67C2×C5×Q16—41no—
68C2×C5×SD16—41no—
69C2×C5×SD16—41no—
70C2×C5×SD16—41no—
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C22×C5×C8C2311yescharacteristic
75C5×#124—41no—
76C5×#124—41no—
77C5×C22⋊Q8—41no—
78C5×C22⋊Q8—41no—
79C5×C22⋊Q8—41no—
80C5×C22⋊Q8—41no—
81C5×#121—41no—
82C5×#121—41no—
83C5×#117—41no—
84C5×#117—41no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4—21no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—21no—
91C2×C5×C4⋊C4D411yescharacteristic
92C2×C5×C4⋊C4D411yescharacteristic
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⋊C4—21no—
104C2×C5×C22⋊C4—21no—
105C2×C5×C22⋊C4—21no—
106C2×C5×C22⋊C4D411yescharacteristic
107C2×C5×C22⋊C4D411yescharacteristic
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C5×#107—41no—
111C5×#107—41no—
112C5×C4⋊C8—41no—
113C5×C4⋊C8—41no—
114C5×#103—41no—
115C5×#103—41no—
116C5×#103—41no—
117C5×#103—41no—
118C5×#103—41no—
119C5×#102—41no—
120C5×#102—41no—
121C5×#102—41no—
122C5×C22⋊C8—41no—
123C5×C22⋊C8—41no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95—21no—
131C5×#95—21no—
132C5×#95—21no—
133#2625C2×C511yescharacteristic, complemented
134#2620C2×C511yescharacteristic
135#2099C2×C511yescharacteristic, complemented
136#2095C2×C511yescharacteristic, complemented
137#2068C2×C511yescharacteristic, complemented
138#2067C2×C511yescharacteristic, complemented
139#2056C2×C511yescharacteristic, complemented
140#2055C2×C511yescharacteristic, complemented
141#2042C2×C511yescharacteristic, complemented
142#2036C2×C511yescharacteristic, complemented
143#2033C2×C511yescharacteristic
144#2015C2×C511yescharacteristic, complemented
145#2001C2×C511yescharacteristic, complemented
146#2000C2×C511yescharacteristic
147#1798C2×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×Q8—21no—
157C2×C5×Q8—21no—
158C2×C5×Q8—21no—
159C2×C5×Q8—21no—
160C2×C5×Q8—21no—
161C2×C5×Q8—21no—
162C2×C5×D4—21no—
163C2×C5×D4—21no—
164C2×C5×D4—21no—
165C2×C5×D4—21no—
166C2×C5×D4—21no—
167C2×C5×D4—21no—
168C2×C5×D4—42no—
169C2×C5×D4—81no—
170C2×C5×D4—81no—
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—21no—
179C22×C4×C5—21no—
180C22×C4×C5—21no—
181C22×C4×C5—21no—
182C22×C4×C5—21no—
183C22×C4×C5—21no—
184C22×C4×C5C2×D411yescharacteristic
185C22×C4×C5C2×D411yescharacteristic
186C22×C4×C5C2×D411yescharacteristic
187C22×C4×C5C2×D411yescharacteristic
188C22×C4×C5C2×D411yescharacteristic
189C22×C4×C5C2411yescharacteristic
190C5×Q16—44no—
191C5×SD16—44no—
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×C8—21no—
199C2×C5×C8—21no—
200C2×C5×C8—21no—
201C2×C5×C8—21no—
202C2×C5×C8—21no—
203C2×C5×C8—21no—
204C5×C4⋊C4—21no—
205C5×C4⋊C4—21no—
206C5×C4⋊C4—21no—
207C5×C4⋊C4—21no—
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—41no—
215C5×C4⋊C4—41no—
216C5×C4⋊C4—42no—
217C5×C4⋊C4—42no—
218C5×C4⋊C4—81no—
219C5×C4⋊C4—81no—
220C5×C4⋊C4—81no—
221C5×C4⋊C4—81no—
222C5×C22⋊C4—41no—
223C5×C22⋊C4—41no—
224C5×C22⋊C4—42no—
225C5×C22⋊C4—42no—
226C5×C22⋊C4—42no—
227C5×C22⋊C4—42no—
228C5×C22⋊C4—42no—
229C5×C22⋊C4—81no—
230C5×C22⋊C4—81no—
231C5×C22⋊C4—81no—
232C42×C5—21no—
233C42×C5—21no—
234C42×C5—21no—
235C42×C5—21no—
236C22×Q16C22×C511yescharacteristic
237C22×SD16C22×C511yescharacteristic
238C2×#124C22×C511yescharacteristic
239C2×C22⋊Q8C22×C511yescharacteristic
240C2×C22⋊Q8C22×C511yescharacteristic
241C2×#121C22×C511yescharacteristic
242C2×#117C22×C511yescharacteristic
243C2×#107C22×C511yescharacteristic
244C2×#107C22×C511yescharacteristic
245C2×C4⋊C8C22×C511yescharacteristic
246C2×C4⋊C8C22×C511yescharacteristic
247C2×#103C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#103C22×C511yescharacteristic
251C2×#103C22×C511yescharacteristic
252C2×#102C22×C511yescharacteristic
253C2×#102C22×C511yescharacteristic
254C2×#102C22×C511yescharacteristic
255C2×C22⋊C8C22×C511yescharacteristic
256C2×C22⋊C8C22×C511yescharacteristic
257#400—21no—
258#398—21no—
259#397—21no—
260#397—21no—
261#396—21no—
262#396—21no—
263#394—21no—
264#394—21no—
265#391C22×C511yescharacteristic
266#391C22×C511yescharacteristic
267#391C22×C511yescharacteristic
268#390C22×C511yescharacteristic
269#389C22×C511yescharacteristic
270#389C22×C511yescharacteristic
271#384C22×C511yescharacteristic
272#380C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#340C22×C511yescharacteristic
277#336C22×C511yescharacteristic
278#336C22×C511yescharacteristic
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—21no—
284C23×C5—21no—
285C23×C5—21no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5—41no—
291C23×C5—41no—
292C23×C5—41no—
293C23×C5C22×D411yescharacteristic
294C5×Q8—41no—
295C5×Q8—41no—
296C5×Q8—41no—
297C5×Q8—41no—
298C5×Q8—41no—
299C5×Q8—41no—
300C5×Q8—41no—
301C5×Q8—41no—
302C5×D4—41no—
303C5×D4—41no—
304C5×D4—41no—
305C5×D4—41no—
306C5×D4—84no—
307C2×C4×C5—21no—
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—21no—
320C2×C4×C5—21no—
321C2×C4×C5—21no—
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—41no—
342C2×C4×C5—41no—
343C2×C4×C5—41no—
344C2×C4×C5—41no—
345C2×C4×C5—41no—
346C2×C4×C5—41no—
347C2×C4×C5H(5,𝔽2)11yescharacteristic
348C2×C4×C5H(5,𝔽2)11yescharacteristic
349C2×C4×C5H(5,𝔽2)11yescharacteristic
350C2×C4×C5H(5,𝔽2)11yescharacteristic
351C2×C4×C5H(5,𝔽2)11yescharacteristic
352C2×C4×C52−1+411yescharacteristic
353C5×C8—41no—
354C5×C8—41no—
355C5×C8—41no—
356C5×C8—41no—
357C22×Q8C23×C511yescharacteristic
358C22×Q8C23×C511yescharacteristic
359C22×D4—21no—
360C22×D4C23×C511yescharacteristic
361C23×C4C23×C511yescharacteristic
362C2×Q16—41no—
363C2×Q16—41no—
364C2×Q16—41no—
365C2×SD16—41no—
366C2×SD16—41no—
367C2×SD16—41no—
368C22×C8C23×C511yescharacteristic
369C22×C8C23×C511yescharacteristic
370C22×C8C23×C511yescharacteristic
371C22×C8C23×C511yescharacteristic
372#124—41no—
373#124—41no—
374C22⋊Q8—41no—
375C22⋊Q8—41no—
376C22⋊Q8—41no—
377C22⋊Q8—41no—
378#121—41no—
379#121—41no—
380#117—41no—
381#117—41no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
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×C22⋊C4C5×D411yescharacteristic
404C2×C22⋊C4C5×D411yescharacteristic
405C2×C42C23×C511yescharacteristic
406C2×C42C23×C511yescharacteristic
407#107—41no—
408#107—41no—
409C4⋊C8—41no—
410C4⋊C8—41no—
411#103—41no—
412#103—41no—
413#103—41no—
414#103—41no—
415#103—41no—
416#102—41no—
417#102—41no—
418#102—41no—
419C22⋊C8—41no—
420C22⋊C8—41no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—21no—
430C22×C5—41no—
431C22×C5—41no—
432C22×C5—41no—
433C22×C5—41no—
434C22×C5—41no—
435C22×C5—41no—
436C22×C5—41no—
437C22×C5—81no—
438C22×C5—81no—
439C22×C5—81no—
440C22×C5—81no—
441C22×C5—81no—
442C22×C5—81no—
443C22×C5—81no—
444C22×C5#53411yescharacteristic
445C22×C5#53511yescharacteristic
446C22×C5#53711yescharacteristic
447C22×C5#57611yescharacteristic
448C22×C5#57711yescharacteristic
449C22×C5#57811yescharacteristic
450C22×C5#57811yescharacteristic
451C4×C5—41no—
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—81no—
462C4×C5—81no—
463C4×C5#56011yescharacteristic
464C4×C5#56011yescharacteristic
465C4×C5#56211yescharacteristic
466C4×C5#56211yescharacteristic
467C24—21no—
468C24C2×C5×D411yescharacteristic
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—42no—
488C2×D4—81no—
489C2×D4—81no—
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—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4C2×C5×D411yescharacteristic
504C22×C4C2×C5×D411yescharacteristic
505C22×C4C2×C5×D411yescharacteristic
506C22×C4C2×C5×D411yescharacteristic
507C22×C4C2×C5×D411yescharacteristic
508C22×C4C24×C511yescharacteristic
509Q16—44no—
510SD16—44no—
511C2×C8—21no—
512C2×C8—21no—
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—
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—21no—
532C4⋊C4—21no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C2×C5—81no—
556C2×C5—161no—
557C2×C5#281311yescharacteristic
558C2×C5#320111yescharacteristic
559C2×C5#320311yescharacteristic
560C2×C5#322311yescharacteristic
561C2×C5#322411yescharacteristic
562C2×C5#325811yescharacteristic
563C2×C5#326211yescharacteristic
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23C22×C5×D411yescharacteristic
579Q8—41no—
580Q8—41no—
581Q8—41no—
582Q8—41no—
583Q8—41no—
584Q8—41no—
585Q8—41no—
586Q8—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—84no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
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—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—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×C4C5×H(5,𝔽2)11yescharacteristic
633C2×C4C5×H(5,𝔽2)11yescharacteristic
634C2×C4C5×H(5,𝔽2)11yescharacteristic
635C2×C4C5×H(5,𝔽2)11yescharacteristic
636C2×C4C5×H(5,𝔽2)11yescharacteristic
637C2×C4C5×2−1+411yescharacteristic
638C8—41no—
639C8—41no—
640C8—41no—
641C8—41no—
642C5#3273611yescharacteristic, direct product factor, Sylow
643C22—41no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22C5×#53411yescharacteristic
658C22C5×#53511yescharacteristic
659C22C5×#53711yescharacteristic
660C22C5×#57611yescharacteristic
661C22C5×#57711yescharacteristic
662C22C5×#57811yescharacteristic
663C22C5×#57811yescharacteristic
664C4—41no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—81no—
674C4—81no—
675C4—81no—
676C4C5×#56011yescharacteristic
677C4C5×#56011yescharacteristic
678C4C5×#56211yescharacteristic
679C4C5×#56211yescharacteristic
680C2—81no—
681C2—161no—
682C2C5×#281311yescharacteristic
683C2C5×#320111yescharacteristic
684C2C5×#320311yescharacteristic
685C2C5×#322311yescharacteristic
686C2C5×#322411yescharacteristic
687C2C5×#325811yescharacteristic
688C2C5×#326211yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC2×C5×#121C22
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×#2625C2semidirect
3. C5×#2099C2semidirect
4. C5×#2095C2semidirect
5. C5×#2068C2semidirect
6. C5×#2067C2semidirect
7. C5×#2056C2semidirect
8. C5×#2055C2semidirect
9. C5×#2042C2semidirect
10. C5×#2036C2semidirect
12. C5×#2015C2semidirect
13. C5×#2001C2semidirect
15. C5×#1798C2semidirect
59. #32736C5direct (N × H)
133. #2625C2×C5semidirect
135. #2099C2×C5semidirect
136. #2095C2×C5semidirect
137. #2068C2×C5semidirect
138. #2067C2×C5semidirect
139. #2056C2×C5semidirect
140. #2055C2×C5semidirect
141. #2042C2×C5semidirect
142. #2036C2×C5semidirect
144. #2015C2×C5semidirect
145. #2001C2×C5semidirect
147. #1798C2×C5semidirect
642. C5#32736direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#26252
C5×#26202
C5×#20992
C5×#20952
C5×#20682
C5×#20672
C5×#20562
C5×#20552
C5×#20422
C5×#20362
C5×#20332
C5×#20152
C5×#20012
C5×#20002
C5×#17982
#327365