Finite Group Databasebeta

← C5×#18578 #11941298

Subgroups — C5×#18578 #11941298

Order 1280.

1028 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3520C211yesmaximal, characteristic, complemented
2C5×#3217C211yesmaximal, characteristic, complemented
3C5×#3138C211yesmaximal, characteristic, complemented
4C2×C5×#459C211yesmaximal, characteristic, complemented
5C5×#1628C212yesmaximal, complemented
6C5×#1627C212yesmaximal, complemented
7C5×#1625C212yesmaximal, complemented
8C5×#1625C212yesmaximal, complemented
9C5×#1552C211yesmaximal, characteristic, complemented
10C5×#1490C211yesmaximal, characteristic, complemented
11C5×#1483C211yesmaximal, characteristic, complemented
12C22×C5×D8—21no—
13C5×#556C2211yescharacteristic, complemented
14C5×#554—21no—
15C5×#552—21no—
16C5×#551—22no—
17C5×D4×Q8C2211yescharacteristic, complemented
18C5×#548—21no—
19C5×#547C2211yescharacteristic, complemented
20C5×#547C2211yescharacteristic, complemented
21C5×#546—21no—
22C5×#542—21no—
23C5×#539—22no—
24C5×#533C2211yescharacteristic
25C2×C5×#127C2211yescharacteristic
26C5×#529C2211yescharacteristic
27C5×#525—21no—
28C2×C5×C22⋊Q8—21no—
29C5×#520—21no—
30C2×C4×C5×D4C2211yescharacteristic
31C5×#496—21no—
32C5×#490—22no—
33C5×#490—21no—
34C5×#486C2212yescomplemented
35C5×#486C2212yescomplemented
36C5×#460C2212yescomplemented
37C5×#459—21no—
38C5×#459—21no—
39C5×#459C2212yes—
40C5×#459C2212yes—
41C5×#459C2212yescomplemented
42C5×#450—21no—
43C5×#447—21no—
44C5×#432C2211yescharacteristic
45C2×C5×C4⋊C8C2211yescharacteristic
46C5×#418—22no—
47C2×C5×#102—21no—
48C4×C5×M16C2211yescharacteristic
49C5×#332C2212yescomplemented
50C5×#332C2212yescomplemented
51C5×Q8⋊C8C2212yescomplemented
52C5×D4⋊C8C2212yescomplemented
53C5×D4⋊C8C2212yescomplemented
54C5×D4⋊C8C2212yescomplemented
55#18578C511yesmaximal, characteristic, direct product factor, Sylow
56C2×C5×#41—21no—
57C2×C5×#41—21no—
58C22×C5×Q8—21no—
59C22×C5×D4—21no—
60C22×C5×D4—21no—
61C22×C5×D4—21no—
62C22×C5×D4D411yescharacteristic
63C23×C4×C5—21no—
64C2×C5×SD16—22no—
65C2×C5×D8—22no—
66C2×C5×D8—22no—
67C2×C5×D8—22no—
68C2×C5×D8—44no—
69C2×C5×M16—21no—
70C22×C5×C8—21no—
71C5×C4⋊Q8—21no—
72C5×C4⋊Q8C2311yescharacteristic
73C5×C4⋊Q8C2311yescharacteristic
74C5×#127—21no—
75C5×#127—21no—
76C5×#127—21no—
77C5×#127C2312yes—
78C5×#126—22no—
79C5×#126—22no—
80C5×#126—21no—
81C5×#125—22no—
82C5×#125D411yescharacteristic
83C5×#125D412yes—
84C5×#124—22no—
85C5×#124—21no—
86C5×#124D411yescharacteristic
87C5×#123—22no—
88C5×#123—22no—
89C5×#123—21no—
90C5×#123—22no—
91C5×#123—22no—
92C5×C22⋊Q8—22no—
93C5×C22⋊Q8—22no—
94C5×C22⋊Q8—22no—
95C5×C22⋊Q8—21no—
96C5×C22⋊Q8—21no—
97C5×C22⋊Q8—21no—
98C5×C22⋊Q8—21no—
99C5×C22⋊Q8—21no—
100C5×C22⋊Q8—22no—
101C5×C22⋊Q8—21no—
102C5×C22⋊Q8D411yescharacteristic
103C5×#121—22no—
104C5×#121—21no—
105C5×#121—21no—
106C5×#121D411yescharacteristic
107C5×#120—22no—
108C4×C5×Q8—21no—
109C4×C5×Q8—21no—
110C4×C5×Q8—21no—
111C4×C5×Q8C2311yescharacteristic
112C4×C5×D4—22no—
113C4×C5×D4—22no—
114C4×C5×D4—22no—
115C4×C5×D4—21no—
116C4×C5×D4—21no—
117C4×C5×D4—21no—
118C4×C5×D4—21no—
119C4×C5×D4D411yescharacteristic
120C4×C5×D4D411yescharacteristic
121C4×C5×D4C2311yescharacteristic
122C4×C5×D4C2311yescharacteristic
123C4×C5×D4C2311yescharacteristic
124C5×#117—22no—
125C5×#117—21no—
126C5×#117—21no—
127C5×#117D412yes—
128C2×C5×C4⋊C4—22no—
129C2×C5×C4⋊C4—21no—
130C2×C5×C4⋊C4—21no—
131C2×C5×C4⋊C4D411yescharacteristic
132C2×C5×C22⋊C4—22no—
133C2×C5×C22⋊C4—21no—
134C2×C42×C5C2311yescharacteristic
135C5×C4⋊C8—21no—
136C5×C4⋊C8C2312yes—
137C5×C4⋊C8C2312yes—
138C5×#102—22no—
139C5×#102—22no—
140C5×#102—24no—
141C5×#102—24no—
142C5×#102—22no—
143C5×#102—22no—
144C5×C22⋊C8—21no—
145C5×#97—21no—
146C5×#97—21no—
147C4×C5×C8C2312yes—
148#3520C2×C511yescharacteristic, complemented
149#3217C2×C511yescharacteristic, complemented
150#3138C2×C511yescharacteristic, complemented
151C2×#459C2×C511yescharacteristic, complemented
152#1628C2×C512yescomplemented
153#1627C2×C512yescomplemented
154#1625C2×C512yescomplemented
155#1625C2×C512yescomplemented
156#1552C2×C511yescharacteristic, complemented
157#1490C2×C511yescharacteristic, complemented
158#1483C2×C511yescharacteristic, complemented
159C24×C5—21no—
160C24×C5—41no—
161C5×#41—42no—
162C5×#41—42no—
163C5×#41—82no—
164C2×C5×Q8—22no—
165C2×C5×Q8—21no—
166C2×C5×Q8—21no—
167C2×C5×Q8—82no—
168C2×C5×Q8C2×D411yescharacteristic
169C2×C5×D4—22no—
170C2×C5×D4—22no—
171C2×C5×D4—21no—
172C2×C5×D4—22no—
173C2×C5×D4—21no—
174C2×C5×D4—22no—
175C2×C5×D4—22no—
176C2×C5×D4—22no—
177C2×C5×D4—41no—
178C2×C5×D4—42no—
179C2×C5×D4—44no—
180C2×C5×D4—42no—
181C2×C5×D4—41no—
182C2×C5×D4—41no—
183C2×C5×D4—41no—
184C2×C5×D4—82no—
185C2×C5×D4C2×D411yescharacteristic
186C2×C5×D4C2×D411yescharacteristic
187C2×C5×D4C2×D411yescharacteristic
188C22×C4×C5—22no—
189C22×C4×C5—22no—
190C22×C4×C5—22no—
191C22×C4×C5—21no—
192C22×C4×C5—21no—
193C22×C4×C5—21no—
194C22×C4×C5—21no—
195C22×C4×C5—21no—
196C22×C4×C5—21no—
197C22×C4×C5—82no—
198C22×C4×C5C2×D411yescharacteristic
199C22×C4×C5C2×D411yescharacteristic
200C22×C4×C5C2×D411yescharacteristic
201C5×SD16—82no—
202C5×D8—44no—
203C5×D8—44no—
204C5×D8—82no—
205C5×M16—42no—
206C2×C5×C8—22no—
207C2×C5×C8—22no—
208C2×C5×C8—22no—
209C2×C5×C8—42no—
210C5×C4⋊C4—22no—
211C5×C4⋊C4—22no—
212C5×C4⋊C4—22no—
213C5×C4⋊C4—22no—
214C5×C4⋊C4—21no—
215C5×C4⋊C4—22no—
216C5×C4⋊C4—21no—
217C5×C4⋊C4—21no—
218C5×C4⋊C4—21no—
219C5×C4⋊C4—22no—
220C5×C4⋊C4—21no—
221C5×C4⋊C4—21no—
222C5×C4⋊C4—21no—
223C5×C4⋊C4C2×D411yescharacteristic
224C5×C4⋊C4C2×D411yescharacteristic
225C5×C4⋊C4C2×D411yescharacteristic
226C5×C4⋊C4C2×D411yescharacteristic
227C5×C4⋊C4C2×D412yes—
228C5×C4⋊C4C2×D412yes—
229C5×C22⋊C4—22no—
230C5×C22⋊C4—22no—
231C5×C22⋊C4—22no—
232C5×C22⋊C4—22no—
233C5×C22⋊C4—22no—
234C5×C22⋊C4—21no—
235C5×C22⋊C4—22no—
236C5×C22⋊C4—21no—
237C5×C22⋊C4—21no—
238C5×C22⋊C4—21no—
239C5×C22⋊C4—21no—
240C5×C22⋊C4—21no—
241C5×C22⋊C4—21no—
242C5×C22⋊C4—21no—
243C5×C22⋊C4—21no—
244C42×C5—22no—
245C42×C5—22no—
246C42×C5—21no—
247C42×C5C2×D411yescharacteristic
248C42×C5C2×D411yescharacteristic
249C42×C5C2×D411yescharacteristic
250C42×C5C2411yescharacteristic
251C22×D8—21no—
252#556C22×C511yescharacteristic, complemented
253#554—21no—
254#552—21no—
255#551—22no—
256D4×Q8C22×C511yescharacteristic, complemented
257#548—21no—
258#547C22×C511yescharacteristic, complemented
259#547C22×C511yescharacteristic, complemented
260#546—21no—
261#542—21no—
262#539—22no—
263#533C22×C511yescharacteristic
264C2×#127C22×C511yescharacteristic
265#529C22×C511yescharacteristic
266#525—21no—
267C2×C22⋊Q8—21no—
268#520—21no—
269C2×C4×D4C22×C511yescharacteristic
270#496—21no—
271#490—22no—
272#490—21no—
273#486C22×C512yescomplemented
274#486C22×C512yescomplemented
275#460C22×C512yescomplemented
276#459—21no—
277#459—21no—
278#459C22×C512yes—
279#459C22×C512yes—
280#459C22×C512yescomplemented
281#450—21no—
282#447—21no—
283#432C22×C511yescharacteristic
284C2×C4⋊C8C22×C511yescharacteristic
285#418—22no—
286C2×#102—21no—
287C4×M16C22×C511yescharacteristic
288#332C22×C512yescomplemented
289#332C22×C512yescomplemented
290Q8⋊C8C22×C512yescomplemented
291D4⋊C8C22×C512yescomplemented
292D4⋊C8C22×C512yescomplemented
293D4⋊C8C22×C512yescomplemented
294C23×C5—21no—
295C23×C5—21no—
296C23×C5—21no—
297C23×C5—42no—
298C23×C5—42no—
299C23×C5—42no—
300C23×C5—81no—
301C23×C5—82no—
302C23×C5—82no—
303C23×C5—82no—
304C23×C5#12011yescharacteristic
305C5×Q8—22no—
306C5×Q8—41no—
307C5×Q8—41no—
308C5×Q8—42no—
309C5×Q8—82no—
310C5×D4—21no—
311C5×D4—21no—
312C5×D4—21no—
313C5×D4—22no—
314C5×D4—42no—
315C5×D4—44no—
316C5×D4—44no—
317C5×D4—42no—
318C5×D4—42no—
319C5×D4—42no—
320C5×D4—42no—
321C5×D4—42no—
322C5×D4—82no—
323C5×D4—82no—
324C5×D4—82no—
325C5×D4—82no—
326C5×D4AGL(1,ℤ/8)12yes—
327C2×C4×C5—22no—
328C2×C4×C5—21no—
329C2×C4×C5—21no—
330C2×C4×C5—22no—
331C2×C4×C5—21no—
332C2×C4×C5—22no—
333C2×C4×C5—21no—
334C2×C4×C5—21no—
335C2×C4×C5—22no—
336C2×C4×C5—21no—
337C2×C4×C5—21no—
338C2×C4×C5—44no—
339C2×C4×C5—41no—
340C2×C4×C5—41no—
341C2×C4×C5—42no—
342C2×C4×C5—42no—
343C2×C4×C5—81no—
344C2×C4×C5—81no—
345C2×C4×C5—81no—
346C2×C4×C5—82no—
347C2×C4×C5—82no—
348C2×C4×C5#12011yescharacteristic
349C2×C4×C5#12011yescharacteristic
350C2×C4×C5#12011yescharacteristic
351C2×C4×C5C22×D411yescharacteristic
352C2×C4×C5C22×D411yescharacteristic
353C2×C4×C5C22×D411yescharacteristic
354C5×C8—42no—
355C5×C8—42no—
356C5×C8—42no—
357C2×#41—21no—
358C2×#41—21no—
359C22×Q8—21no—
360C22×D4—21no—
361C22×D4—21no—
362C22×D4—21no—
363C22×D4C5×D411yescharacteristic
364C23×C4—21no—
365C2×SD16—22no—
366C2×D8—22no—
367C2×D8—22no—
368C2×D8—22no—
369C2×D8—44no—
370C2×M16—21no—
371C22×C8—21no—
372C4⋊Q8—21no—
373C4⋊Q8C23×C511yescharacteristic
374C4⋊Q8C23×C511yescharacteristic
375#127—21no—
376#127—21no—
377#127—21no—
378#127C23×C512yes—
379#126—22no—
380#126—22no—
381#126—21no—
382#125—22no—
383#125C5×D411yescharacteristic
384#125C5×D412yes—
385#124—22no—
386#124—21no—
387#124C5×D411yescharacteristic
388#123—22no—
389#123—22no—
390#123—21no—
391#123—22no—
392#123—22no—
393C22⋊Q8—22no—
394C22⋊Q8—22no—
395C22⋊Q8—22no—
396C22⋊Q8—21no—
397C22⋊Q8—21no—
398C22⋊Q8—21no—
399C22⋊Q8—21no—
400C22⋊Q8—21no—
401C22⋊Q8—22no—
402C22⋊Q8—21no—
403C22⋊Q8C5×D411yescharacteristic
404#121—22no—
405#121—21no—
406#121—21no—
407#121C5×D411yescharacteristic
408#120—22no—
409C4×Q8—21no—
410C4×Q8—21no—
411C4×Q8—21no—
412C4×Q8C23×C511yescharacteristic
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4—21no—
417C4×D4—21no—
418C4×D4—21no—
419C4×D4—21no—
420C4×D4C5×D411yescharacteristic
421C4×D4C5×D411yescharacteristic
422C4×D4C23×C511yescharacteristic
423C4×D4C23×C511yescharacteristic
424C4×D4C23×C511yescharacteristic
425#117—22no—
426#117—21no—
427#117—21no—
428#117C5×D412yes—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4C5×D411yescharacteristic
433C2×C22⋊C4—22no—
434C2×C22⋊C4—21no—
435C2×C42C23×C511yescharacteristic
436C4⋊C8—21no—
437C4⋊C8C23×C512yes—
438C4⋊C8C23×C512yes—
439#102—22no—
440#102—22no—
441#102—24no—
442#102—24no—
443#102—22no—
444#102—22no—
445C22⋊C8—21no—
446#97—21no—
447#97—21no—
448C4×C8C23×C512yes—
449C22×C5—21no—
450C22×C5—21no—
451C22×C5—22no—
452C22×C5—41no—
453C22×C5—41no—
454C22×C5—41no—
455C22×C5—41no—
456C22×C5—41no—
457C22×C5—41no—
458C22×C5—41no—
459C22×C5—41no—
460C22×C5—84no—
461C22×C5—82no—
462C22×C5—82no—
463C22×C5—82no—
464C22×C5—164no—
465C22×C5#45412yes—
466C22×C5C2×#12011yescharacteristic
467C4×C5—21no—
468C4×C5—21no—
469C4×C5—21no—
470C4×C5—21no—
471C4×C5—41no—
472C4×C5—42no—
473C4×C5—41no—
474C4×C5—41no—
475C4×C5—42no—
476C4×C5—41no—
477C4×C5—41no—
478C4×C5C2×AGL(1,ℤ/8)11yescharacteristic
479C4×C5#57511yescharacteristic
480C4×C5#57612yes—
481C24—21no—
482C24—41no—
483#41—42no—
484#41—42no—
485#41—82no—
486C2×Q8—22no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—82no—
490C2×Q8C2×C5×D411yescharacteristic
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—21no—
494C2×D4—22no—
495C2×D4—21no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—41no—
500C2×D4—42no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—41no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4—82no—
507C2×D4C2×C5×D411yescharacteristic
508C2×D4C2×C5×D411yescharacteristic
509C2×D4C2×C5×D411yescharacteristic
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—82no—
520C22×C4C2×C5×D411yescharacteristic
521C22×C4C2×C5×D411yescharacteristic
522C22×C4C2×C5×D411yescharacteristic
523SD16—82no—
524D8—44no—
525D8—44no—
526D8—82no—
527M16—42no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—42no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4C2×C5×D411yescharacteristic
546C4⋊C4C2×C5×D411yescharacteristic
547C4⋊C4C2×C5×D411yescharacteristic
548C4⋊C4C2×C5×D411yescharacteristic
549C4⋊C4C2×C5×D412yes—
550C4⋊C4C2×C5×D412yes—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—21no—
557C22⋊C4—22no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—21no—
561C22⋊C4—21no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C42—22no—
567C42—22no—
568C42—21no—
569C42C2×C5×D411yescharacteristic
570C42C2×C5×D411yescharacteristic
571C42C2×C5×D411yescharacteristic
572C42C24×C511yescharacteristic
573C2×C5—22no—
574C2×C5—42no—
575C2×C5—81no—
576C2×C5—81no—
577C2×C5—162no—
578C2×C5#300611yescharacteristic
579C2×C5#300811yescharacteristic
580C2×C5C2×#45411yescharacteristic
581C23—21no—
582C23—21no—
583C23—21no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—81no—
588C23—82no—
589C23—82no—
590C23—82no—
591C23C5×#12011yescharacteristic
592Q8—22no—
593Q8—41no—
594Q8—41no—
595Q8—42no—
596Q8—82no—
597D4—21no—
598D4—21no—
599D4—21no—
600D4—22no—
601D4—42no—
602D4—44no—
603D4—44no—
604D4—42no—
605D4—42no—
606D4—42no—
607D4—42no—
608D4—42no—
609D4—82no—
610D4—82no—
611D4—82no—
612D4—82no—
613D4C5×AGL(1,ℤ/8)12yes—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—44no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4C5×#12011yescharacteristic
636C2×C4C5×#12011yescharacteristic
637C2×C4C5×#12011yescharacteristic
638C2×C4C22×C5×D411yescharacteristic
639C2×C4C22×C5×D411yescharacteristic
640C2×C4C22×C5×D411yescharacteristic
641C8—42no—
642C8—42no—
643C8—42no—
644C5#1857811yescharacteristic, direct product factor, Sylow
645C22—21no—
646C22—21no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—84no—
657C22—82no—
658C22—82no—
659C22—82no—
660C22—164no—
661C22C5×#45412yes—
662C22C2×C5×#12011yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—41no—
668C4—42no—
669C4—41no—
670C4—41no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4C2×C5×AGL(1,ℤ/8)11yescharacteristic
675C4C5×#57511yescharacteristic
676C4C5×#57612yes—
677C2—22no—
678C2—42no—
679C2—81no—
680C2—81no—
681C2—162no—
682C2C5×#300611yescharacteristic
683C2C5×#300811yescharacteristic
684C2C2×C5×#45411yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC42C24×C5
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C5 ◁ C2×C42×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#3520C2semidirect
2. C5×#3217C2semidirect
3. C5×#3138C2semidirect
4. C2×C5×#459C2semidirect
5. C5×#1628C2semidirect
6. C5×#1627C2semidirect
7. C5×#1625C2semidirect
8. C5×#1625C2semidirect
9. C5×#1552C2semidirect
10. C5×#1490C2semidirect
11. C5×#1483C2semidirect
13. C5×#556C22semidirect
17. C5×D4×Q8C22semidirect
19. C5×#547C22semidirect
20. C5×#547C22semidirect
34. C5×#486C22semidirect
35. C5×#486C22semidirect
36. C5×#460C22semidirect
41. C5×#459C22semidirect
49. C5×#332C22semidirect
50. C5×#332C22semidirect
51. C5×Q8⋊C8C22semidirect
52. C5×D4⋊C8C22semidirect
53. C5×D4⋊C8C22semidirect
54. C5×D4⋊C8C22semidirect
55. #18578C5direct (N × H)
148. #3520C2×C5semidirect
149. #3217C2×C5semidirect
150. #3138C2×C5semidirect
151. C2×#459C2×C5semidirect
152. #1628C2×C5semidirect
153. #1627C2×C5semidirect
154. #1625C2×C5semidirect
155. #1625C2×C5semidirect
156. #1552C2×C5semidirect
157. #1490C2×C5semidirect
158. #1483C2×C5semidirect
252. #556C22×C5semidirect
256. D4×Q8C22×C5semidirect
258. #547C22×C5semidirect
259. #547C22×C5semidirect
273. #486C22×C5semidirect
274. #486C22×C5semidirect
275. #460C22×C5semidirect
280. #459C22×C5semidirect
288. #332C22×C5semidirect
289. #332C22×C5semidirect
290. Q8⋊C8C22×C5semidirect
291. D4⋊C8C22×C5semidirect
292. D4⋊C8C22×C5semidirect
293. D4⋊C8C22×C5semidirect
644. C5#18578direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35202
C5×#32172
C5×#31382
C2×C5×#4592
C5×#16282
C5×#16272
C5×#16252
C5×#15522
C5×#14902
C5×#14832
#185785