Finite Group Databasebeta

← C5×#18570 #11941290

Subgroups — C5×#18570 #11941290

Order 1280.

1028 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3519C211yesmaximal, characteristic
2C5×#3239C211yesmaximal, characteristic, complemented
3C5×#3141C211yesmaximal, characteristic, complemented
4C2×C5×#461C211yesmaximal, characteristic, complemented
5C5×#1646C212yesmaximal, complemented
6C5×#1643C212yesmaximal, complemented
7C5×#1642C212yesmaximal, complemented
8C5×#1639C212yesmaximal, complemented
9C5×#1551C211yesmaximal, characteristic, complemented
10C5×#1490C211yesmaximal, characteristic, complemented
11C5×#1483C211yesmaximal, characteristic, complemented
12C22×C5×SD16—21no—
13C5×#555C2211yescharacteristic
14C5×#554C2211yescharacteristic
15C5×#553—21no—
16C5×#553—21no—
17C5×#550C2211yescharacteristic
18C5×#546—22no—
19C5×#546—21no—
20C5×D42—21no—
21C5×D42C2211yescharacteristic
22C5×#540—21no—
23C5×#538—22no—
24C5×#532C2211yescharacteristic
25C2×C5×C4⋊Q8C2211yescharacteristic, complemented
26C5×#529C2211yescharacteristic
27C5×#525—21no—
28C2×C5×#121—21no—
29C5×#518—21no—
30C2×C4×C5×D4C2211yescharacteristic
31C5×#501—21no—
32C5×#489—21no—
33C5×#489—22no—
34C5×#487C2212yescomplemented
35C5×#486C2212yescomplemented
36C5×#484—21no—
37C5×#481—21no—
38C5×#475C2212yescomplemented
39C5×#474C2212yescomplemented
40C5×#461—21no—
41C5×#461—21no—
42C5×#461C2212yes—
43C5×#461C2212yescomplemented
44C5×#432C2211yescharacteristic, complemented
45C2×C5×C4⋊C8C2211yescharacteristic, complemented
46C5×#417—22no—
47C2×C5×#103—21no—
48C4×C5×M16C2211yescharacteristic, complemented
49C5×#333C2212yescomplemented
50C5×#331C2212yescomplemented
51C5×Q8⋊C8C2212yescomplemented
52C5×D4⋊C8C2212yes—
53C5×D4⋊C8C2212yescomplemented
54C5×D4⋊C8C2212yescomplemented
55#18570C511yesmaximal, characteristic, direct product factor, Sylow
56C2×C5×#41—21no—
57C2×C5×#41D412yes—
58C22×C5×Q8—21no—
59C22×C5×D4—22no—
60C22×C5×D4—21no—
61C22×C5×D4—21no—
62C22×C5×D4D411yescharacteristic
63C23×C4×C5—21no—
64C2×C5×SD16—22no—
65C2×C5×SD16—22no—
66C2×C5×SD16—44no—
67C2×C5×M16—21no—
68C22×C5×C8—21no—
69C5×C4⋊Q8—21no—
70C5×C4⋊Q8—21no—
71C5×C4⋊Q8—21no—
72C5×C4⋊Q8C2312yes—
73C5×C4⋊Q8C2311yescharacteristic
74C5×#127—21no—
75C5×#127C2311yescharacteristic
76C5×#126—22no—
77C5×#126—21no—
78C5×#125—21no—
79C5×#125D411yescharacteristic
80C5×#124—22no—
81C5×#124D411yescharacteristic
82C5×#124D412yes—
83C5×#123—22no—
84C5×#123—22no—
85C5×#123—22no—
86C5×#123—21no—
87C5×C22⋊Q8—21no—
88C5×C22⋊Q8—22no—
89C5×C22⋊Q8D411yescharacteristic
90C5×#121—22no—
91C5×#121—22no—
92C5×#121—22no—
93C5×#121—22no—
94C5×#121—21no—
95C5×#121—22no—
96C5×#121—21no—
97C5×#121—21no—
98C5×#121—21no—
99C5×#121—21no—
100C5×#121—21no—
101C5×#121—21no—
102C5×#121D411yescharacteristic
103C5×#120—22no—
104C5×#120—22no—
105C5×#120—22no—
106C4×C5×Q8C2311yescharacteristic
107C4×C5×D4—22no—
108C4×C5×D4—22no—
109C4×C5×D4—22no—
110C4×C5×D4—21no—
111C4×C5×D4—21no—
112C4×C5×D4—21no—
113C4×C5×D4—21no—
114C4×C5×D4—21no—
115C4×C5×D4—21no—
116C4×C5×D4—21no—
117C4×C5×D4D411yescharacteristic
118C4×C5×D4D411yescharacteristic
119C4×C5×D4C2311yescharacteristic
120C4×C5×D4C2311yescharacteristic
121C4×C5×D4C2311yescharacteristic
122C5×#117—21no—
123C5×#117—21no—
124C5×#117—21no—
125C2×C5×C4⋊C4—21no—
126C2×C5×C4⋊C4—21no—
127C2×C5×C4⋊C4—21no—
128C2×C5×C4⋊C4D411yescharacteristic
129C2×C5×C22⋊C4—22no—
130C2×C5×C22⋊C4—22no—
131C2×C5×C22⋊C4—21no—
132C2×C42×C5C2311yescharacteristic
133C5×#107—22no—
134C5×#106—22no—
135C5×C4⋊C8—21no—
136C5×C4⋊C8C2312yes—
137C5×C4⋊C8C2312yes—
138C5×#103—24no—
139C5×#103—22no—
140C5×#103—22no—
141C5×#103—22no—
142C5×#102—24no—
143C5×#102—22no—
144C5×C22⋊C8—21no—
145C5×#97—21no—
146C5×#97—21no—
147C4×C5×C8C2312yes—
148#3519C2×C511yescharacteristic
149#3239C2×C511yescharacteristic, complemented
150#3141C2×C511yescharacteristic, complemented
151C2×#461C2×C511yescharacteristic, complemented
152#1646C2×C512yescomplemented
153#1643C2×C512yescomplemented
154#1642C2×C512yescomplemented
155#1639C2×C512yescomplemented
156#1551C2×C511yescharacteristic, complemented
157#1490C2×C511yescharacteristic, complemented
158#1483C2×C511yescharacteristic, complemented
159C24×C5—22no—
160C24×C5—21no—
161C5×#41—44no—
162C5×#41—82no—
163C2×C5×Q8—22no—
164C2×C5×Q8—42no—
165C2×C5×Q8—42no—
166C2×C5×Q8—41no—
167C2×C5×Q8C2×D411yescharacteristic
168C2×C5×Q8C2×D412yes—
169C2×C5×D4—22no—
170C2×C5×D4—22no—
171C2×C5×D4—22no—
172C2×C5×D4—21no—
173C2×C5×D4—22no—
174C2×C5×D4—22no—
175C2×C5×D4—22no—
176C2×C5×D4—22no—
177C2×C5×D4—21no—
178C2×C5×D4—21no—
179C2×C5×D4—21no—
180C2×C5×D4—41no—
181C2×C5×D4—42no—
182C2×C5×D4—42no—
183C2×C5×D4—82no—
184C2×C5×D4—84no—
185C2×C5×D4C2×D411yescharacteristic
186C2×C5×D4C2×D411yescharacteristic
187C2×C5×D4C2×D411yescharacteristic
188C2×C5×D4C2×D412yes—
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—22no—
197C22×C4×C5—21no—
198C22×C4×C5—41no—
199C22×C4×C5—82no—
200C22×C4×C5C2×D411yescharacteristic
201C22×C4×C5C2×D411yescharacteristic
202C22×C4×C5C2×D411yescharacteristic
203C5×SD16—44no—
204C5×SD16—44no—
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—21no—
213C5×C4⋊C4—21no—
214C5×C4⋊C4—21no—
215C5×C4⋊C4—21no—
216C5×C4⋊C4—21no—
217C5×C4⋊C4—21no—
218C5×C4⋊C4—21no—
219C5×C4⋊C4—22no—
220C5×C4⋊C4—22no—
221C5×C4⋊C4—41no—
222C5×C4⋊C4—41no—
223C5×C4⋊C4C2×D411yescharacteristic
224C5×C4⋊C4C2×D411yescharacteristic
225C5×C4⋊C4C2×D411yescharacteristic
226C5×C4⋊C4C2×D411yescharacteristic
227C5×C22⋊C4—22no—
228C5×C22⋊C4—22no—
229C5×C22⋊C4—22no—
230C5×C22⋊C4—22no—
231C5×C22⋊C4—22no—
232C5×C22⋊C4—21no—
233C5×C22⋊C4—21no—
234C5×C22⋊C4—21no—
235C5×C22⋊C4—21no—
236C5×C22⋊C4—22no—
237C5×C22⋊C4—21no—
238C5×C22⋊C4—21no—
239C5×C22⋊C4—22no—
240C5×C22⋊C4—21no—
241C5×C22⋊C4—21no—
242C5×C22⋊C4—21no—
243C42×C5—22no—
244C42×C5—21no—
245C42×C5C2×D411yescharacteristic
246C42×C5C2×D411yescharacteristic
247C42×C5C2×D411yescharacteristic
248C42×C5C2411yescharacteristic
249C22×SD16—21no—
250#555C22×C511yescharacteristic
251#554C22×C511yescharacteristic
252#553—21no—
253#553—21no—
254#550C22×C511yescharacteristic
255#546—22no—
256#546—21no—
257D42—21no—
258D42C22×C511yescharacteristic
259#540—21no—
260#538—22no—
261#532C22×C511yescharacteristic
262C2×C4⋊Q8C22×C511yescharacteristic, complemented
263#529C22×C511yescharacteristic
264#525—21no—
265C2×#121—21no—
266#518—21no—
267C2×C4×D4C22×C511yescharacteristic
268#501—21no—
269#489—22no—
270#489—21no—
271#487C22×C512yescomplemented
272#486C22×C512yescomplemented
273#484—21no—
274#481—21no—
275#475C22×C512yescomplemented
276#474C22×C512yescomplemented
277#461—21no—
278#461—21no—
279#461C22×C512yes—
280#461C22×C512yescomplemented
281#432C22×C511yescharacteristic, complemented
282C2×C4⋊C8C22×C511yescharacteristic, complemented
283#417—22no—
284C2×#103—21no—
285C4×M16C22×C511yescharacteristic, complemented
286#333C22×C512yescomplemented
287#331C22×C512yescomplemented
288Q8⋊C8C22×C512yescomplemented
289D4⋊C8C22×C512yes—
290D4⋊C8C22×C512yescomplemented
291D4⋊C8C22×C512yescomplemented
292C23×C5—21no—
293C23×C5—21no—
294C23×C5—21no—
295C23×C5—22no—
296C23×C5—42no—
297C23×C5—44no—
298C23×C5—42no—
299C23×C5—81no—
300C23×C5—82no—
301C23×C5—82no—
302C23×C5#12011yescharacteristic
303C5×Q8—22no—
304C5×Q8—42no—
305C5×Q8—42no—
306C5×Q8—42no—
307C5×Q8—82no—
308C5×D4—21no—
309C5×D4—21no—
310C5×D4—21no—
311C5×D4—22no—
312C5×D4—42no—
313C5×D4—42no—
314C5×D4—44no—
315C5×D4—42no—
316C5×D4—44no—
317C5×D4—41no—
318C5×D4—41no—
319C5×D4—42no—
320C5×D4—82no—
321C5×D4—82no—
322C5×D4—82no—
323C5×D4—82no—
324C5×D4AGL(1,ℤ/8)12yes—
325C2×C4×C5—22no—
326C2×C4×C5—21no—
327C2×C4×C5—21no—
328C2×C4×C5—22no—
329C2×C4×C5—21no—
330C2×C4×C5—21no—
331C2×C4×C5—21no—
332C2×C4×C5—22no—
333C2×C4×C5—21no—
334C2×C4×C5—21no—
335C2×C4×C5—41no—
336C2×C4×C5—41no—
337C2×C4×C5—42no—
338C2×C4×C5—42no—
339C2×C4×C5—42no—
340C2×C4×C5—81no—
341C2×C4×C5—81no—
342C2×C4×C5—82no—
343C2×C4×C5—81no—
344C2×C4×C5—82no—
345C2×C4×C5—82no—
346C2×C4×C5—82no—
347C2×C4×C5#12011yescharacteristic
348C2×C4×C5#12011yescharacteristic
349C2×C4×C5#12011yescharacteristic
350C2×C4×C5C22×D411yescharacteristic
351C2×C4×C5C22×D411yescharacteristic
352C2×C4×C5C22×D411yescharacteristic
353C5×C8—42no—
354C5×C8—42no—
355C5×C8—42no—
356C2×#41—21no—
357C2×#41C5×D412yes—
358C22×Q8—21no—
359C22×D4—22no—
360C22×D4—21no—
361C22×D4—21no—
362C22×D4C5×D411yescharacteristic
363C23×C4—21no—
364C2×SD16—22no—
365C2×SD16—22no—
366C2×SD16—44no—
367C2×M16—21no—
368C22×C8—21no—
369C4⋊Q8—21no—
370C4⋊Q8—21no—
371C4⋊Q8—21no—
372C4⋊Q8C23×C512yes—
373C4⋊Q8C23×C511yescharacteristic
374#127—21no—
375#127C23×C511yescharacteristic
376#126—22no—
377#126—21no—
378#125—21no—
379#125C5×D411yescharacteristic
380#124—22no—
381#124C5×D411yescharacteristic
382#124C5×D412yes—
383#123—22no—
384#123—22no—
385#123—22no—
386#123—21no—
387C22⋊Q8—21no—
388C22⋊Q8—22no—
389C22⋊Q8C5×D411yescharacteristic
390#121—22no—
391#121—22no—
392#121—22no—
393#121—22no—
394#121—21no—
395#121—22no—
396#121—21no—
397#121—21no—
398#121—21no—
399#121—21no—
400#121—21no—
401#121—21no—
402#121C5×D411yescharacteristic
403#120—22no—
404#120—22no—
405#120—22no—
406C4×Q8C23×C511yescharacteristic
407C4×D4—22no—
408C4×D4—22no—
409C4×D4—22no—
410C4×D4—21no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4—21no—
414C4×D4—21no—
415C4×D4—21no—
416C4×D4—21no—
417C4×D4C5×D411yescharacteristic
418C4×D4C5×D411yescharacteristic
419C4×D4C23×C511yescharacteristic
420C4×D4C23×C511yescharacteristic
421C4×D4C23×C511yescharacteristic
422#117—21no—
423#117—21no—
424#117—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4C5×D411yescharacteristic
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—21no—
432C2×C42C23×C511yescharacteristic
433#107—22no—
434#106—22no—
435C4⋊C8—21no—
436C4⋊C8C23×C512yes—
437C4⋊C8C23×C512yes—
438#103—24no—
439#103—22no—
440#103—22no—
441#103—22no—
442#102—24no—
443#102—22no—
444C22⋊C8—21no—
445#97—21no—
446#97—21no—
447C4×C8C23×C512yes—
448C22×C5—21no—
449C22×C5—21no—
450C22×C5—22no—
451C22×C5—41no—
452C22×C5—41no—
453C22×C5—41no—
454C22×C5—41no—
455C22×C5—42no—
456C22×C5—41no—
457C22×C5—42no—
458C22×C5—41no—
459C22×C5—42no—
460C22×C5—41no—
461C22×C5—41no—
462C22×C5—84no—
463C22×C5—164no—
464C22×C5#45512yes—
465C22×C5C2×#12011yescharacteristic
466C4×C5—21no—
467C4×C5—21no—
468C4×C5—21no—
469C4×C5—21no—
470C4×C5—41no—
471C4×C5—41no—
472C4×C5—41no—
473C4×C5—41no—
474C4×C5—41no—
475C4×C5—42no—
476C4×C5—82no—
477C4×C5C2×AGL(1,ℤ/8)11yescharacteristic
478C4×C5#57511yescharacteristic
479C4×C5#57712yes—
480C24—22no—
481C24—21no—
482#41—44no—
483#41—82no—
484C2×Q8—22no—
485C2×Q8—42no—
486C2×Q8—42no—
487C2×Q8—41no—
488C2×Q8C2×C5×D411yescharacteristic
489C2×Q8C2×C5×D412yes—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—21no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—41no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—82no—
505C2×D4—84no—
506C2×D4C2×C5×D411yescharacteristic
507C2×D4C2×C5×D411yescharacteristic
508C2×D4C2×C5×D411yescharacteristic
509C2×D4C2×C5×D412yes—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—41no—
520C22×C4—82no—
521C22×C4C2×C5×D411yescharacteristic
522C22×C4C2×C5×D411yescharacteristic
523C22×C4C2×C5×D411yescharacteristic
524SD16—44no—
525SD16—44no—
526M16—42no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—42no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—41no—
543C4⋊C4—41no—
544C4⋊C4C2×C5×D411yescharacteristic
545C4⋊C4C2×C5×D411yescharacteristic
546C4⋊C4C2×C5×D411yescharacteristic
547C4⋊C4C2×C5×D411yescharacteristic
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—21no—
554C22⋊C4—21no—
555C22⋊C4—21no—
556C22⋊C4—21no—
557C22⋊C4—22no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—22no—
561C22⋊C4—21no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C42—22no—
565C42—21no—
566C42C2×C5×D411yescharacteristic
567C42C2×C5×D411yescharacteristic
568C42C2×C5×D411yescharacteristic
569C42C24×C511yescharacteristic
570C2×C5—22no—
571C2×C5—42no—
572C2×C5—81no—
573C2×C5—82no—
574C2×C5—81no—
575C2×C5#300611yescharacteristic
576C2×C5#300911yescharacteristic
577C2×C5C2×#45511yescharacteristic
578C23—21no—
579C23—21no—
580C23—21no—
581C23—22no—
582C23—42no—
583C23—44no—
584C23—42no—
585C23—81no—
586C23—82no—
587C23—82no—
588C23C5×#12011yescharacteristic
589Q8—22no—
590Q8—42no—
591Q8—42no—
592Q8—42no—
593Q8—82no—
594D4—21no—
595D4—21no—
596D4—21no—
597D4—22no—
598D4—42no—
599D4—42no—
600D4—44no—
601D4—42no—
602D4—44no—
603D4—41no—
604D4—41no—
605D4—42no—
606D4—82no—
607D4—82no—
608D4—82no—
609D4—82no—
610D4C5×AGL(1,ℤ/8)12yes—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—81no—
627C2×C4—81no—
628C2×C4—82no—
629C2×C4—81no—
630C2×C4—82no—
631C2×C4—82no—
632C2×C4—82no—
633C2×C4C5×#12011yescharacteristic
634C2×C4C5×#12011yescharacteristic
635C2×C4C5×#12011yescharacteristic
636C2×C4C22×C5×D411yescharacteristic
637C2×C4C22×C5×D411yescharacteristic
638C2×C4C22×C5×D411yescharacteristic
639C8—42no—
640C8—42no—
641C8—42no—
642C5#1857011yescharacteristic, direct product factor, Sylow
643C22—21no—
644C22—21no—
645C22—22no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—42no—
651C22—41no—
652C22—42no—
653C22—41no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—84no—
658C22—164no—
659C22C5×#45512yes—
660C22C2×C5×#12011yescharacteristic
661C4—21no—
662C4—21no—
663C4—21no—
664C4—21no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—42no—
671C4—82no—
672C4C2×C5×AGL(1,ℤ/8)11yescharacteristic
673C4C5×#57511yescharacteristic
674C4C5×#57712yes—
675C2—22no—
676C2—42no—
677C2—81no—
678C2—81no—
679C2—82no—
680C2C5×#300611yescharacteristic
681C2C5×#300911yescharacteristic
682C2C2×C5×#45511yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC42C24×C5
prime radicalC5×#3519C2
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
2. C5×#3239C2semidirect
3. C5×#3141C2semidirect
4. C2×C5×#461C2semidirect
5. C5×#1646C2semidirect
6. C5×#1643C2semidirect
7. C5×#1642C2semidirect
8. C5×#1639C2semidirect
9. C5×#1551C2semidirect
10. C5×#1490C2semidirect
11. C5×#1483C2semidirect
25. C2×C5×C4⋊Q8C22semidirect
34. C5×#487C22semidirect
35. C5×#486C22semidirect
38. C5×#475C22semidirect
39. C5×#474C22semidirect
43. C5×#461C22semidirect
44. C5×#432C22semidirect
45. C2×C5×C4⋊C8C22semidirect
48. C4×C5×M16C22semidirect
49. C5×#333C22semidirect
50. C5×#331C22semidirect
51. C5×Q8⋊C8C22semidirect
53. C5×D4⋊C8C22semidirect
54. C5×D4⋊C8C22semidirect
55. #18570C5direct (N × H)
149. #3239C2×C5semidirect
150. #3141C2×C5semidirect
151. C2×#461C2×C5semidirect
152. #1646C2×C5semidirect
153. #1643C2×C5semidirect
154. #1642C2×C5semidirect
155. #1639C2×C5semidirect
156. #1551C2×C5semidirect
157. #1490C2×C5semidirect
158. #1483C2×C5semidirect
262. C2×C4⋊Q8C22×C5semidirect
271. #487C22×C5semidirect
272. #486C22×C5semidirect
275. #475C22×C5semidirect
276. #474C22×C5semidirect
280. #461C22×C5semidirect
281. #432C22×C5semidirect
282. C2×C4⋊C8C22×C5semidirect
285. C4×M16C22×C5semidirect
286. #333C22×C5semidirect
287. #331C22×C5semidirect
288. Q8⋊C8C22×C5semidirect
290. D4⋊C8C22×C5semidirect
291. D4⋊C8C22×C5semidirect
642. C5#18570direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35192
C5×#32392
C5×#31412
C2×C5×#4612
C5×#16462
C5×#16432
C5×#16422
C5×#16392
C5×#15512
C5×#14902
C5×#14832
#185705