Finite Group Databasebeta

← C5×#18254 #11940974

Subgroups — C5×#18254 #11940974

Order 1280.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3537C211yesmaximal, characteristic, complemented
2C5×#3003C211yesmaximal, characteristic, complemented
3C2×C5×#447C211yesmaximal, characteristic, complemented
4C5×#2433C211yesmaximal, characteristic, complemented
5C5×#1600C214yesmaximal, complemented
6C5×#1595C214yesmaximal, complemented
7C5×#1507C211yesmaximal, characteristic, complemented
8C5×#1501C211yesmaximal, characteristic, complemented
9C5×#1471C211yesmaximal, characteristic, complemented
10C23×C5×D4C2211yescharacteristic, complemented
11C2×C5×AGL(1,ℤ/8)—21no—
12C22×C5×D8—21no—
13C5×#560—22no—
14C5×#553—21no—
15C5×#553—21no—
16C5×D42—22no—
17C5×D42—21no—
18C5×D42—21no—
19C5×#540—21no—
20C5×#538—21no—
21C5×#538C2212yescomplemented
22C5×#535—21no—
23C5×#534—21no—
24C5×#534C2212yescomplemented
25C2×C5×#127—21no—
26C5×#525C2211yescharacteristic
27C2×C5×#121C2211yescharacteristic
28C2×C5×#121C2211yescharacteristic
29C2×C5×#120—22no—
30C5×#450—21no—
31C5×#450C2212yescomplemented
32C5×#447—22no—
33C5×#447—21no—
34C5×#447C2214yescomplemented
35C5×#447C2212yescomplemented
36C5×#418—21no—
37C2×C5×#102—21no—
38C5×#407C2211yescharacteristic, complemented
39C2×C5×C22⋊C8C2211yescharacteristic, complemented
40C5×#392C2214yescomplemented
41C5×#390—21no—
42C4×C5×C22⋊C4C2211yescharacteristic, complemented
43C5×#328C2212yescomplemented
44C5×#327C2212yescomplemented
45C5×#327C2214yescomplemented
46C5×#323C2214yescomplemented
47#18254C511yesmaximal, characteristic, direct product factor, Sylow
48C25×C5—21no—
49C2×C5×#41D411yescharacteristic, complemented
50C22×C5×D4—22no—
51C22×C5×D4—21no—
52C22×C5×D4—21no—
53C22×C5×D4—22no—
54C22×C5×D4—24no—
55C22×C5×D4—21no—
56C22×C5×D4—21no—
57C22×C5×D4—21no—
58C22×C5×D4—21no—
59C22×C5×D4—21no—
60C22×C5×D4—44no—
61C22×C5×D4D412yes—
62C22×C5×D4D411yescharacteristic
63C22×C5×D4D411yescharacteristic, complemented
64C22×C5×D4C2312yes—
65C23×C4×C5C2311yescharacteristic
66C5×AGL(1,ℤ/8)—44no—
67C2×C5×SD16—22no—
68C2×C5×D8—24no—
69C2×C5×D8—22no—
70C2×C5×D8—44no—
71C2×C5×M16—21no—
72C22×C5×C8—21no—
73C5×#127—22no—
74C5×#127—21no—
75C5×#127—44no—
76C5×#126—22no—
77C5×#126—22no—
78C5×#125—21no—
79C5×#124—22no—
80C5×#123—22no—
81C5×#123—21no—
82C5×#123—22no—
83C5×#123—22no—
84C5×#123—22no—
85C5×C22⋊Q8D411yescharacteristic, complemented
86C5×C22⋊Q8C2311yescharacteristic
87C5×#121—22no—
88C5×#121—21no—
89C5×#121—21no—
90C5×#121—22no—
91C5×#121—22no—
92C5×#121—22no—
93C5×#121—22no—
94C5×#121—21no—
95C5×#121—21no—
96C5×#121—21no—
97C5×#121—21no—
98C5×#121—21no—
99C5×#121—21no—
100C5×#121—22no—
101C5×#121D412yescomplemented
102C5×#121D411yescharacteristic, complemented
103C5×#121C2312yes—
104C5×#121C2311yescharacteristic
105C5×#120—22no—
106C5×#120—22no—
107C5×#120—22no—
108C5×#120—21no—
109C5×#120—22no—
110C5×#120—22no—
111C5×#120—22no—
112C5×#120—48no—
113C4×C5×D4—22no—
114C4×C5×D4—21no—
115C4×C5×D4—21no—
116C4×C5×D4—21no—
117C4×C5×D4—21no—
118C4×C5×D4—22no—
119C5×#117—21no—
120C5×#117D411yescharacteristic, complemented
121C2×C5×C4⋊C4D411yescharacteristic
122C2×C5×C4⋊C4D411yescharacteristic, complemented
123C2×C5×C22⋊C4—21no—
124C2×C5×C22⋊C4—21no—
125C2×C5×C22⋊C4—24no—
126C2×C5×C22⋊C4C2312yes—
127C2×C42×C5—21no—
128C5×#102—24no—
129C5×#102—22no—
130C5×#102—22no—
131C5×C22⋊C8—21no—
132C5×C22⋊C8—21no—
133C5×C22⋊C8C2312yes—
134C5×C22⋊C8C2312yes—
135C5×#95C2312yes—
136#3537C2×C511yescharacteristic, complemented
137#3003C2×C511yescharacteristic, complemented
138C2×#447C2×C511yescharacteristic, complemented
139#2433C2×C511yescharacteristic, complemented
140#1600C2×C514yescomplemented
141#1595C2×C514yescomplemented
142#1507C2×C511yescharacteristic, complemented
143#1501C2×C511yescharacteristic, complemented
144#1471C2×C511yescharacteristic, complemented
145C24×C5—22no—
146C24×C5—22no—
147C24×C5—21no—
148C24×C5—44no—
149C24×C5—44no—
150C24×C5—41no—
151C24×C5—41no—
152C24×C5—82no—
153C24×C5C2×D411yescharacteristic
154C24×C5C2×D412yes—
155C5×#41—42no—
156C2×C5×Q8C2×D411yescharacteristic
157C2×C5×D4—24no—
158C2×C5×D4—24no—
159C2×C5×D4—24no—
160C2×C5×D4—22no—
161C2×C5×D4—21no—
162C2×C5×D4—21no—
163C2×C5×D4—22no—
164C2×C5×D4—22no—
165C2×C5×D4—22no—
166C2×C5×D4—22no—
167C2×C5×D4—22no—
168C2×C5×D4—22no—
169C2×C5×D4—21no—
170C2×C5×D4—22no—
171C2×C5×D4—22no—
172C2×C5×D4—21no—
173C2×C5×D4—21no—
174C2×C5×D4—21no—
175C2×C5×D4—22no—
176C2×C5×D4—22no—
177C2×C5×D4—42no—
178C2×C5×D4—42no—
179C2×C5×D4—42no—
180C2×C5×D4—42no—
181C2×C5×D4—42no—
182C2×C5×D4—48no—
183C2×C5×D4—44no—
184C2×C5×D4—44no—
185C2×C5×D4—44no—
186C2×C5×D4—44no—
187C2×C5×D4—48no—
188C2×C5×D4—41no—
189C2×C5×D4—41no—
190C2×C5×D4—82no—
191C2×C5×D4—84no—
192C2×C5×D4—82no—
193C2×C5×D4—84no—
194C2×C5×D4—84no—
195C2×C5×D4C2×D411yescharacteristic
196C2×C5×D4C2×D412yes—
197C22×C4×C5—22no—
198C22×C4×C5—22no—
199C22×C4×C5—22no—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—42no—
203C22×C4×C5C2×D411yescharacteristic
204C22×C4×C5C2×D411yescharacteristic
205C22×C4×C5C2×D411yescharacteristic
206C22×C4×C5C2×D412yes—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2411yescharacteristic
210C5×SD16—44no—
211C5×D8—48no—
212C5×D8—44no—
213C5×M16—42no—
214C2×C5×C8—22no—
215C2×C5×C8—22no—
216C2×C5×C8—42no—
217C5×C4⋊C4—22no—
218C5×C4⋊C4—22no—
219C5×C4⋊C4—21no—
220C5×C4⋊C4—21no—
221C5×C4⋊C4—21no—
222C5×C4⋊C4—21no—
223C5×C4⋊C4—21no—
224C5×C4⋊C4C2×D412yes—
225C5×C4⋊C4C2×D411yescharacteristic
226C5×C4⋊C4C2×D411yescharacteristic
227C5×C22⋊C4—24no—
228C5×C22⋊C4—22no—
229C5×C22⋊C4—22no—
230C5×C22⋊C4—22no—
231C5×C22⋊C4—22no—
232C5×C22⋊C4—22no—
233C5×C22⋊C4—21no—
234C5×C22⋊C4—21no—
235C5×C22⋊C4—21no—
236C5×C22⋊C4—22no—
237C5×C22⋊C4—21no—
238C5×C22⋊C4—22no—
239C5×C22⋊C4—22no—
240C5×C22⋊C4—22no—
241C5×C22⋊C4—21no—
242C5×C22⋊C4—48no—
243C42×C5—22no—
244C42×C5—21no—
245C42×C5—42no—
246C23×D4C22×C511yescharacteristic, complemented
247C2×AGL(1,ℤ/8)—21no—
248C22×D8—21no—
249#560—22no—
250#553—21no—
251#553—21no—
252D42—22no—
253D42—21no—
254D42—21no—
255#540—21no—
256#538—21no—
257#538C22×C512yescomplemented
258#535—21no—
259#534—21no—
260#534C22×C512yescomplemented
261C2×#127—21no—
262#525C22×C511yescharacteristic
263C2×#121C22×C511yescharacteristic
264C2×#121C22×C511yescharacteristic
265C2×#120—22no—
266#450—21no—
267#450C22×C512yescomplemented
268#447—22no—
269#447—21no—
270#447C22×C512yescomplemented
271#447C22×C514yescomplemented
272#418—21no—
273C2×#102—21no—
274#407C22×C511yescharacteristic, complemented
275C2×C22⋊C8C22×C511yescharacteristic, complemented
276#392C22×C514yescomplemented
277#390—21no—
278C4×C22⋊C4C22×C511yescharacteristic, complemented
279#328C22×C512yescomplemented
280#327C22×C512yescomplemented
281#327C22×C514yescomplemented
282#323C22×C514yescomplemented
283C23×C5—22no—
284C23×C5—22no—
285C23×C5—24no—
286C23×C5—22no—
287C23×C5—22no—
288C23×C5—21no—
289C23×C5—24no—
290C23×C5—41no—
291C23×C5—44no—
292C23×C5—44no—
293C23×C5—44no—
294C23×C5—42no—
295C23×C5—42no—
296C23×C5—42no—
297C23×C5—42no—
298C23×C5—44no—
299C23×C5—42no—
300C23×C5—81no—
301C23×C5—81no—
302C23×C5—82no—
303C23×C5—82no—
304C23×C5—82no—
305C23×C5—82no—
306C23×C5—82no—
307C23×C5—82no—
308C23×C5—816no—
309C23×C5—82no—
310C23×C5#12011yescharacteristic
311C23×C5#12011yescharacteristic
312C23×C5C22×D411yescharacteristic
313C5×Q8—41no—
314C5×D4—24no—
315C5×D4—24no—
316C5×D4—42no—
317C5×D4—41no—
318C5×D4—42no—
319C5×D4—42no—
320C5×D4—44no—
321C5×D4—44no—
322C5×D4—42no—
323C5×D4—44no—
324C5×D4—42no—
325C5×D4—44no—
326C5×D4—42no—
327C5×D4—42no—
328C5×D4—81no—
329C5×D4—82no—
330C5×D4—82no—
331C5×D4—81no—
332C5×D4—82no—
333C5×D4—82no—
334C5×D4—82no—
335C5×D4—82no—
336C5×D4—82no—
337C5×D4—816no—
338C2×C4×C5—22no—
339C2×C4×C5—22no—
340C2×C4×C5—22no—
341C2×C4×C5—24no—
342C2×C4×C5—21no—
343C2×C4×C5—22no—
344C2×C4×C5—22no—
345C2×C4×C5—21no—
346C2×C4×C5—21no—
347C2×C4×C5—41no—
348C2×C4×C5—41no—
349C2×C4×C5—41no—
350C2×C4×C5—42no—
351C2×C4×C5—42no—
352C2×C4×C5—42no—
353C2×C4×C5—42no—
354C2×C4×C5—81no—
355C2×C4×C5—82no—
356C2×C4×C5—82no—
357C2×C4×C5#12011yescharacteristic
358C2×C4×C5#12011yescharacteristic
359C2×C4×C5C22×D411yescharacteristic
360C2×C4×C5C22×D411yescharacteristic
361C5×C8—42no—
362C5×C8—42no—
363C25—21no—
364C2×#41C5×D411yescharacteristic, complemented
365C22×D4—22no—
366C22×D4—21no—
367C22×D4—21no—
368C22×D4—22no—
369C22×D4—24no—
370C22×D4—21no—
371C22×D4—21no—
372C22×D4—21no—
373C22×D4—21no—
374C22×D4—21no—
375C22×D4—44no—
376C22×D4C5×D412yes—
377C22×D4C5×D411yescharacteristic
378C22×D4C5×D411yescharacteristic, complemented
379C22×D4C23×C512yes—
380C23×C4C23×C511yescharacteristic
381AGL(1,ℤ/8)—44no—
382C2×SD16—22no—
383C2×D8—24no—
384C2×D8—22no—
385C2×D8—44no—
386C2×M16—21no—
387C22×C8—21no—
388#127—22no—
389#127—21no—
390#127—44no—
391#126—22no—
392#126—22no—
393#125—21no—
394#124—22no—
395#123—22no—
396#123—21no—
397#123—22no—
398#123—22no—
399#123—22no—
400C22⋊Q8C5×D411yescharacteristic, complemented
401C22⋊Q8C23×C511yescharacteristic
402#121—22no—
403#121—21no—
404#121—21no—
405#121—22no—
406#121—22no—
407#121—22no—
408#121—22no—
409#121—21no—
410#121—21no—
411#121—21no—
412#121—21no—
413#121—21no—
414#121—21no—
415#121—22no—
416#121C5×D412yescomplemented
417#121C5×D411yescharacteristic, complemented
418#121C23×C512yes—
419#121C23×C511yescharacteristic
420#120—22no—
421#120—22no—
422#120—22no—
423#120—21no—
424#120—22no—
425#120—22no—
426#120—22no—
427#120—48no—
428C4×D4—22no—
429C4×D4—21no—
430C4×D4—21no—
431C4×D4—21no—
432C4×D4—21no—
433C4×D4—22no—
434#117—21no—
435#117C5×D411yescharacteristic, complemented
436C2×C4⋊C4C5×D411yescharacteristic
437C2×C4⋊C4C5×D411yescharacteristic, complemented
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4C23×C512yes—
442C2×C42—21no—
443#102—24no—
444#102—22no—
445#102—22no—
446C22⋊C8—21no—
447C22⋊C8—21no—
448C22⋊C8C23×C512yes—
449C22⋊C8C23×C512yes—
450#95C23×C512yes—
451C22×C5—21no—
452C22×C5—21no—
453C22×C5—21no—
454C22×C5—21no—
455C22×C5—21no—
456C22×C5—21no—
457C22×C5—21no—
458C22×C5—44no—
459C22×C5—48no—
460C22×C5—42no—
461C22×C5—42no—
462C22×C5—41no—
463C22×C5—42no—
464C22×C5—42no—
465C22×C5—41no—
466C22×C5—41no—
467C22×C5—44no—
468C22×C5—42no—
469C22×C5—42no—
470C22×C5—84no—
471C22×C5—84no—
472C22×C5—88no—
473C22×C5—88no—
474C22×C5—82no—
475C22×C5—82no—
476C22×C5—162no—
477C22×C5—164no—
478C22×C5#45312yes—
479C22×C5C2×#12011yescharacteristic
480C22×C5#57612yes—
481C4×C5—21no—
482C4×C5—21no—
483C4×C5—21no—
484C4×C5—44no—
485C4×C5—42no—
486C4×C5—41no—
487C4×C5—42no—
488C4×C5—41no—
489C4×C5—41no—
490C4×C5B(4,𝔽2)12yes—
491C24—22no—
492C24—22no—
493C24—21no—
494C24—44no—
495C24—44no—
496C24—41no—
497C24—41no—
498C24—82no—
499C24C2×C5×D411yescharacteristic
500C24C2×C5×D412yes—
501#41—42no—
502C2×Q8C2×C5×D411yescharacteristic
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—24no—
506C2×D4—22no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—21no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—48no—
529C2×D4—44no—
530C2×D4—44no—
531C2×D4—44no—
532C2×D4—44no—
533C2×D4—48no—
534C2×D4—41no—
535C2×D4—41no—
536C2×D4—82no—
537C2×D4—84no—
538C2×D4—82no—
539C2×D4—84no—
540C2×D4—84no—
541C2×D4C2×C5×D411yescharacteristic
542C2×D4C2×C5×D412yes—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—42no—
549C22×C4C2×C5×D411yescharacteristic
550C22×C4C2×C5×D411yescharacteristic
551C22×C4C2×C5×D411yescharacteristic
552C22×C4C2×C5×D412yes—
553C22×C4C2×C5×D411yescharacteristic
554C22×C4C2×C5×D411yescharacteristic
555C22×C4C24×C511yescharacteristic
556SD16—44no—
557D8—48no—
558D8—44no—
559M16—42no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—42no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4C2×C5×D412yes—
571C4⋊C4C2×C5×D411yescharacteristic
572C4⋊C4C2×C5×D411yescharacteristic
573C22⋊C4—24no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—21no—
588C22⋊C4—48no—
589C42—22no—
590C42—21no—
591C42—42no—
592C2×C5—22no—
593C2×C5—22no—
594C2×C5—41no—
595C2×C5—84no—
596C2×C5—82no—
597C2×C5—82no—
598C2×C5—81no—
599C2×C5#300811yescharacteristic
600C2×C5C2×#45311yescharacteristic
601C2×C5C2×B(4,𝔽2)11yescharacteristic
602C23—22no—
603C23—22no—
604C23—24no—
605C23—22no—
606C23—22no—
607C23—21no—
608C23—24no—
609C23—41no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—42no—
619C23—81no—
620C23—81no—
621C23—82no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—816no—
628C23—82no—
629C23C5×#12011yescharacteristic
630C23C5×#12011yescharacteristic
631C23C22×C5×D411yescharacteristic
632Q8—41no—
633D4—24no—
634D4—24no—
635D4—42no—
636D4—41no—
637D4—42no—
638D4—42no—
639D4—44no—
640D4—44no—
641D4—42no—
642D4—44no—
643D4—42no—
644D4—44no—
645D4—42no—
646D4—42no—
647D4—81no—
648D4—82no—
649D4—82no—
650D4—81no—
651D4—82no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—816no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—81no—
674C2×C4—82no—
675C2×C4—82no—
676C2×C4C5×#12011yescharacteristic
677C2×C4C5×#12011yescharacteristic
678C2×C4C22×C5×D411yescharacteristic
679C2×C4C22×C5×D411yescharacteristic
680C8—42no—
681C8—42no—
682C5#1825411yescharacteristic, direct product factor, Sylow
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22C5×#45312yes—
711C22C2×C5×#12011yescharacteristic
712C22C5×#57612yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4C5×B(4,𝔽2)12yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C5×#300811yescharacteristic
731C2C2×C5×#45311yescharacteristic
732C2C2×C5×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC22×C4C24×C5
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C5 ◁ C23×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#3537C2semidirect
2. C5×#3003C2semidirect
3. C2×C5×#447C2semidirect
4. C5×#2433C2semidirect
5. C5×#1600C2semidirect
6. C5×#1595C2semidirect
7. C5×#1507C2semidirect
8. C5×#1501C2semidirect
9. C5×#1471C2semidirect
10. C23×C5×D4C22semidirect
21. C5×#538C22semidirect
24. C5×#534C22semidirect
31. C5×#450C22semidirect
34. C5×#447C22semidirect
35. C5×#447C22semidirect
38. C5×#407C22semidirect
39. C2×C5×C22⋊C8C22semidirect
40. C5×#392C22semidirect
42. C4×C5×C22⋊C4C22semidirect
43. C5×#328C22semidirect
44. C5×#327C22semidirect
45. C5×#327C22semidirect
46. C5×#323C22semidirect
47. #18254C5direct (N × H)
49. C2×C5×#41D4semidirect
63. C22×C5×D4D4semidirect
85. C5×C22⋊Q8D4semidirect
101. C5×#121D4semidirect
102. C5×#121D4semidirect
120. C5×#117D4semidirect
122. C2×C5×C4⋊C4D4semidirect
136. #3537C2×C5semidirect
137. #3003C2×C5semidirect
138. C2×#447C2×C5semidirect
139. #2433C2×C5semidirect
140. #1600C2×C5semidirect
141. #1595C2×C5semidirect
142. #1507C2×C5semidirect
143. #1501C2×C5semidirect
144. #1471C2×C5semidirect
246. C23×D4C22×C5semidirect
257. #538C22×C5semidirect
260. #534C22×C5semidirect
267. #450C22×C5semidirect
270. #447C22×C5semidirect
271. #447C22×C5semidirect
274. #407C22×C5semidirect
275. C2×C22⋊C8C22×C5semidirect
276. #392C22×C5semidirect
278. C4×C22⋊C4C22×C5semidirect
279. #328C22×C5semidirect
280. #327C22×C5semidirect
281. #327C22×C5semidirect
282. #323C22×C5semidirect
364. C2×#41C5×D4semidirect
378. C22×D4C5×D4semidirect
400. C22⋊Q8C5×D4semidirect
416. #121C5×D4semidirect
417. #121C5×D4semidirect
435. #117C5×D4semidirect
437. C2×C4⋊C4C5×D4semidirect
682. C5#18254direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35372
C5×#30032
C2×C5×#4472
C5×#24332
C5×#16002
C5×#15952
C5×#15072
C5×#15012
C5×#14712
#182545