Finite Group Databasebeta

← C5×#23955 #11946675

Subgroups — C5×#23955 #11946675

Order 1280.

1234 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3494C211yesmaximal, characteristic
2C5×#3004C211yesmaximal, characteristic, complemented
3C2×C5×#419C211yesmaximal, characteristic, complemented
4C5×#2436C211yesmaximal, characteristic, complemented
5C5×#2028C212yesmaximal, complemented
6C5×#2004C212yesmaximal, complemented
7C5×#1900C211yesmaximal, characteristic, complemented
8C5×#1885C212yesmaximal, complemented
9C5×#1882C212yesmaximal, complemented
10C5×#1871C211yesmaximal, characteristic, complemented
11C5×#1826C211yesmaximal, characteristic, complemented
12C23×C5×Q8C2211yescharacteristic
13C2×C5×#137C2212yes—
14C22×C5×M16C2211yescharacteristic
15C5×#555—21no—
16C5×#553—21no—
17C5×#553—21no—
18C5×#551—22no—
19C5×#547—21no—
20C5×#546—22no—
21C5×#544C2211yescharacteristic
22C5×#542—21no—
23C5×#540—21no—
24C5×#535C2211yescharacteristic
25C5×#532—21no—
26C5×#529—21no—
27C2×C5×#124C2212yes—
28C5×#525C2211yescharacteristic
29C2×C5×#121C2211yescharacteristic
30C5×#520C2211yescharacteristic
31C5×#518C2211yescharacteristic
32C2×C5×#117C2211yescharacteristic
33C5×#451—21no—
34C5×#451—21no—
35C5×#448—21no—
36C5×#448—21no—
37C2×C5×#104C2212yes—
38C5×#419—21no—
39C5×#419—21no—
40C5×#419C2212yes—
41C5×#419C2212yes—
42C5×#419C2212yes—
43C2×C5×#103—21no—
44C2×C5×#103—21no—
45C2×C5×#100C2212yes—
46C5×#407C2211yescharacteristic
47C5×#393—22no—
48C5×#391C2212yes—
49C5×#386—22no—
50C4×C5×C22⋊C4C2211yescharacteristic
51C5×#343C2212yes—
52C5×#339C2212yes—
53C5×#339C2212yes—
54C5×#339C2212yes—
55#23955C511yesmaximal, characteristic, direct product factor, Sylow
56C2×C5×#41—22no—
57C2×C5×#41C2311yescharacteristic
58C22×C5×Q8—21no—
59C22×C5×Q8—24no—
60C22×C5×Q8—21no—
61C22×C5×Q8—21no—
62C22×C5×Q8—21no—
63C22×C5×Q8—21no—
64C22×C5×Q8—42no—
65C22×C5×Q8C2312yes—
66C22×C5×D4D412yes—
67C22×C5×D4C2311yescharacteristic
68C23×C4×C5—21no—
69C23×C4×C5C2311yescharacteristic
70C5×#137—24no—
71C5×#137—42no—
72C2×C5×Q16—22no—
73C2×C5×SD16—22no—
74C2×C5×M16—21no—
75C2×C5×M16—42no—
76C2×C5×M16C2312yes—
77C2×C5×M16C2312yes—
78C22×C5×C8—21no—
79C5×C4⋊Q8—21no—
80C5×C4⋊Q8—21no—
81C5×#127—21no—
82C5×#126—22no—
83C5×#126—22no—
84C5×#125—21no—
85C5×#125—21no—
86C5×#124—22no—
87C5×#124—22no—
88C5×#124—21no—
89C5×#124—24no—
90C5×#124—42no—
91C5×#123—22no—
92C5×#123—22no—
93C5×#123—22no—
94C5×#123—22no—
95C5×#123—21no—
96C5×C22⋊Q8—22no—
97C5×C22⋊Q8—22no—
98C5×C22⋊Q8D411yescharacteristic
99C5×C22⋊Q8D411yescharacteristic
100C5×#121—22no—
101C5×#121—22no—
102C5×#121—22no—
103C5×#121—21no—
104C5×#121—21no—
105C5×#121—21no—
106C5×#121—21no—
107C5×#121—21no—
108C5×#121—21no—
109C5×#121D411yescharacteristic
110C5×#121D411yescharacteristic
111C5×#120—21no—
112C5×#120—22no—
113C4×C5×Q8—21no—
114C4×C5×D4—22no—
115C4×C5×D4—22no—
116C4×C5×D4—21no—
117C4×C5×D4—22no—
118C4×C5×D4—21no—
119C4×C5×D4—21no—
120C4×C5×D4—21no—
121C4×C5×D4—21no—
122C4×C5×D4—21no—
123C4×C5×D4—21no—
124C5×#117—22no—
125C5×#117—21no—
126C5×#117—21no—
127C5×#117—21no—
128C5×#117D411yescharacteristic
129C5×#117D411yescharacteristic
130C5×#117C2311yescharacteristic
131C5×#117C2311yescharacteristic
132C5×#117C2311yescharacteristic
133C2×C5×C4⋊C4—21no—
134C2×C5×C4⋊C4D411yescharacteristic
135C2×C5×C4⋊C4D411yescharacteristic
136C2×C5×C4⋊C4C2311yescharacteristic
137C2×C5×C22⋊C4—21no—
138C2×C5×C22⋊C4—22no—
139C2×C5×C22⋊C4—21no—
140C2×C5×C22⋊C4—24no—
141C2×C5×C22⋊C4D412yes—
142C2×C42×C5—21no—
143C2×C42×C5C2312yes—
144C5×#104—42no—
145C5×#103—22no—
146C5×#103—22no—
147C5×#103—22no—
148C5×#103—22no—
149C5×#103—22no—
150C5×#103—22no—
151C5×#100—42no—
152C5×C22⋊C8—21no—
153C5×C22⋊C8—21no—
154C5×#95—21no—
155C5×#95—24no—
156#3494C2×C511yescharacteristic
157#3004C2×C511yescharacteristic, complemented
158C2×#419C2×C511yescharacteristic, complemented
159#2436C2×C511yescharacteristic, complemented
160#2028C2×C512yescomplemented
161#2004C2×C512yescomplemented
162#1900C2×C511yescharacteristic, complemented
163#1885C2×C512yescomplemented
164#1882C2×C512yescomplemented
165#1871C2×C511yescharacteristic, complemented
166#1826C2×C511yescharacteristic, complemented
167C24×C5C2×D411yescharacteristic
168C24×C5C2×D412yes—
169C5×#41—22no—
170C5×#41—22no—
171C5×#41—84no—
172C2×C5×Q8—22no—
173C2×C5×Q8—22no—
174C2×C5×Q8—24no—
175C2×C5×Q8—24no—
176C2×C5×Q8—22no—
177C2×C5×Q8—22no—
178C2×C5×Q8—22no—
179C2×C5×Q8—22no—
180C2×C5×Q8—44no—
181C2×C5×Q8—44no—
182C2×C5×Q8—44no—
183C2×C5×Q8—42no—
184C2×C5×Q8—42no—
185C2×C5×Q8—41no—
186C2×C5×Q8—41no—
187C2×C5×Q8C2×D411yescharacteristic
188C2×C5×Q8#4114yescomplemented
189C2×C5×D4—21no—
190C2×C5×D4—22no—
191C2×C5×D4—21no—
192C2×C5×D4—22no—
193C2×C5×D4—22no—
194C2×C5×D4—21no—
195C2×C5×D4—22no—
196C2×C5×D4—21no—
197C2×C5×D4—21no—
198C2×C5×D4—22no—
199C2×C5×D4—22no—
200C2×C5×D4—44no—
201C2×C5×D4C2×D411yescharacteristic
202C22×C4×C5—22no—
203C22×C4×C5—22no—
204C22×C4×C5—21no—
205C22×C4×C5—22no—
206C22×C4×C5—22no—
207C22×C4×C5—22no—
208C22×C4×C5—22no—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—22no—
212C22×C4×C5—44no—
213C22×C4×C5—41no—
214C22×C4×C5—41no—
215C22×C4×C5C2×D411yescharacteristic
216C22×C4×C5C2×D411yescharacteristic
217C22×C4×C5C2×D411yescharacteristic
218C22×C4×C5C2×D411yescharacteristic
219C22×C4×C5C2×D411yescharacteristic
220C22×C4×C5C2×D412yes—
221C22×C4×C5C2411yescharacteristic
222C5×Q16—44no—
223C5×SD16—44no—
224C5×M16—22no—
225C5×M16—22no—
226C5×M16—22no—
227C5×M16—22no—
228C5×M16—42no—
229C2×C5×C8—22no—
230C2×C5×C8—22no—
231C2×C5×C8—42no—
232C5×C4⋊C4—22no—
233C5×C4⋊C4—22no—
234C5×C4⋊C4—22no—
235C5×C4⋊C4—22no—
236C5×C4⋊C4—21no—
237C5×C4⋊C4—21no—
238C5×C4⋊C4—21no—
239C5×C4⋊C4—21no—
240C5×C4⋊C4—21no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4C2×D411yescharacteristic
243C5×C4⋊C4C2×D411yescharacteristic
244C5×C4⋊C4C2×D411yescharacteristic
245C5×C4⋊C4C2×D411yescharacteristic
246C5×C4⋊C4C2×D411yescharacteristic
247C5×C4⋊C4C2×D411yescharacteristic
248C5×C22⋊C4—22no—
249C5×C22⋊C4—22no—
250C5×C22⋊C4—22no—
251C5×C22⋊C4—22no—
252C5×C22⋊C4—22no—
253C5×C22⋊C4—21no—
254C5×C22⋊C4—21no—
255C5×C22⋊C4—21no—
256C5×C22⋊C4—21no—
257C5×C22⋊C4—21no—
258C5×C22⋊C4—21no—
259C5×C22⋊C4—21no—
260C5×C22⋊C4—22no—
261C5×C22⋊C4—22no—
262C5×C22⋊C4—21no—
263C5×C22⋊C4—21no—
264C5×C22⋊C4—48no—
265C5×C22⋊C4—42no—
266C42×C5—22no—
267C42×C5—21no—
268C42×C5—21no—
269C42×C5—21no—
270C42×C5—21no—
271C42×C5—21no—
272C42×C5—22no—
273C42×C5—22no—
274C23×Q8C22×C511yescharacteristic
275C2×#137C22×C512yes—
276C22×M16C22×C511yescharacteristic
277#555—21no—
278#553—21no—
279#553—21no—
280#551—22no—
281#547—21no—
282#546—22no—
283#544C22×C511yescharacteristic
284#542—21no—
285#540—21no—
286#535C22×C511yescharacteristic
287#532—21no—
288#529—21no—
289C2×#124C22×C512yes—
290#525C22×C511yescharacteristic
291C2×#121C22×C511yescharacteristic
292#520C22×C511yescharacteristic
293#518C22×C511yescharacteristic
294C2×#117C22×C511yescharacteristic
295#451—21no—
296#451—21no—
297#448—21no—
298#448—21no—
299C2×#104C22×C512yes—
300#419—21no—
301#419—21no—
302#419C22×C512yes—
303#419C22×C512yes—
304#419C22×C512yes—
305C2×#103—21no—
306C2×#103—21no—
307C2×#100C22×C512yes—
308#407C22×C511yescharacteristic
309#393—22no—
310#391C22×C512yes—
311#386—22no—
312C4×C22⋊C4C22×C511yescharacteristic
313#343C22×C512yes—
314#339C22×C512yes—
315#339C22×C512yes—
316#339C22×C512yes—
317C23×C5—22no—
318C23×C5—22no—
319C23×C5—22no—
320C23×C5—21no—
321C23×C5—24no—
322C23×C5—41no—
323C23×C5—42no—
324C23×C5—42no—
325C23×C5#12011yescharacteristic
326C23×C5#12011yescharacteristic
327C23×C5C22×D411yescharacteristic
328C5×Q8—24no—
329C5×Q8—24no—
330C5×Q8—22no—
331C5×Q8—44no—
332C5×Q8—44no—
333C5×Q8—42no—
334C5×Q8—42no—
335C5×Q8—82no—
336C5×D4—22no—
337C5×D4—42no—
338C5×D4—44no—
339C5×D4—42no—
340C5×D4—41no—
341C5×D4—41no—
342C5×D4—42no—
343C5×D4—81no—
344C5×D4—82no—
345C5×D4—82no—
346C5×D4—82no—
347C2×C4×C5—22no—
348C2×C4×C5—21no—
349C2×C4×C5—21no—
350C2×C4×C5—21no—
351C2×C4×C5—21no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—21no—
355C2×C4×C5—21no—
356C2×C4×C5—21no—
357C2×C4×C5—21no—
358C2×C4×C5—21no—
359C2×C4×C5—21no—
360C2×C4×C5—21no—
361C2×C4×C5—22no—
362C2×C4×C5—24no—
363C2×C4×C5—44no—
364C2×C4×C5—44no—
365C2×C4×C5—42no—
366C2×C4×C5—42no—
367C2×C4×C5—42no—
368C2×C4×C5—41no—
369C2×C4×C5—41no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5—42no—
374C2×C4×C5—81no—
375C2×C4×C5—82no—
376C2×C4×C5—82no—
377C2×C4×C5—82no—
378C2×C4×C5#12011yescharacteristic
379C2×C4×C5#12011yescharacteristic
380C2×C4×C5C22×D411yescharacteristic
381C2×C4×C5C22×D411yescharacteristic
382C2×C4×C5C2×#4112yes—
383C2×C4×C5H(5,𝔽2)12yes—
384C5×C8—42no—
385C5×C8—42no—
386C2×#41—22no—
387C2×#41C23×C511yescharacteristic
388C22×Q8—21no—
389C22×Q8—24no—
390C22×Q8—21no—
391C22×Q8—21no—
392C22×Q8—21no—
393C22×Q8—21no—
394C22×Q8—42no—
395C22×Q8C23×C512yes—
396C22×D4C5×D412yes—
397C22×D4C23×C511yescharacteristic
398C23×C4—21no—
399C23×C4C23×C511yescharacteristic
400#137—24no—
401#137—42no—
402C2×Q16—22no—
403C2×SD16—22no—
404C2×M16—21no—
405C2×M16—42no—
406C2×M16C23×C512yes—
407C2×M16C23×C512yes—
408C22×C8—21no—
409C4⋊Q8—21no—
410C4⋊Q8—21no—
411#127—21no—
412#126—22no—
413#126—22no—
414#125—21no—
415#125—21no—
416#124—22no—
417#124—22no—
418#124—21no—
419#124—24no—
420#124—42no—
421#123—22no—
422#123—22no—
423#123—22no—
424#123—22no—
425#123—21no—
426C22⋊Q8—22no—
427C22⋊Q8—22no—
428C22⋊Q8C5×D411yescharacteristic
429C22⋊Q8C5×D411yescharacteristic
430#121—22no—
431#121—22no—
432#121—22no—
433#121—21no—
434#121—21no—
435#121—21no—
436#121—21no—
437#121—21no—
438#121—21no—
439#121C5×D411yescharacteristic
440#121C5×D411yescharacteristic
441#120—21no—
442#120—22no—
443C4×Q8—21no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—21no—
447C4×D4—22no—
448C4×D4—21no—
449C4×D4—21no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454#117—22no—
455#117—21no—
456#117—21no—
457#117—21no—
458#117C5×D411yescharacteristic
459#117C5×D411yescharacteristic
460#117C23×C511yescharacteristic
461#117C23×C511yescharacteristic
462#117C23×C511yescharacteristic
463C2×C4⋊C4—21no—
464C2×C4⋊C4C5×D411yescharacteristic
465C2×C4⋊C4C5×D411yescharacteristic
466C2×C4⋊C4C23×C511yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—22no—
469C2×C22⋊C4—24no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4C5×D412yes—
472C2×C42—21no—
473C2×C42C23×C512yes—
474#104—42no—
475#103—22no—
476#103—22no—
477#103—22no—
478#103—22no—
479#103—22no—
480#103—22no—
481#100—42no—
482C22⋊C8—21no—
483C22⋊C8—21no—
484#95—21no—
485#95—24no—
486C22×C5—21no—
487C22×C5—21no—
488C22×C5—21no—
489C22×C5—21no—
490C22×C5—21no—
491C22×C5—21no—
492C22×C5—21no—
493C22×C5—44no—
494C22×C5—41no—
495C22×C5—42no—
496C22×C5—41no—
497C22×C5—42no—
498C22×C5—42no—
499C22×C5—41no—
500C22×C5—84no—
501C22×C5#45512yes—
502C22×C5C2×#12011yescharacteristic
503C22×C5#54612yes—
504C4×C5—21no—
505C4×C5—21no—
506C4×C5—44no—
507C4×C5—41no—
508C4×C5—41no—
509C4×C5—41no—
510C4×C5—42no—
511C4×C5—41no—
512C4×C5—41no—
513C4×C5—41no—
514C4×C5—41no—
515C4×C5—82no—
516C4×C5#52511yescharacteristic
517C4×C5#53511yescharacteristic
518C4×C5#54612yes—
519C24C2×C5×D411yescharacteristic
520C24C2×C5×D412yes—
521#41—22no—
522#41—22no—
523#41—84no—
524C2×Q8—22no—
525C2×Q8—22no—
526C2×Q8—24no—
527C2×Q8—24no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—44no—
533C2×Q8—44no—
534C2×Q8—44no—
535C2×Q8—42no—
536C2×Q8—42no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8C2×C5×D411yescharacteristic
540C2×Q8C5×#4114yescomplemented
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—21no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—44no—
553C2×D4C2×C5×D411yescharacteristic
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—22no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—44no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4C2×C5×D411yescharacteristic
568C22×C4C2×C5×D411yescharacteristic
569C22×C4C2×C5×D411yescharacteristic
570C22×C4C2×C5×D411yescharacteristic
571C22×C4C2×C5×D411yescharacteristic
572C22×C4C2×C5×D412yes—
573C22×C4C24×C511yescharacteristic
574Q16—44no—
575SD16—44no—
576M16—22no—
577M16—22no—
578M16—22no—
579M16—22no—
580M16—42no—
581C2×C8—22no—
582C2×C8—22no—
583C2×C8—42no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4C2×C5×D411yescharacteristic
595C4⋊C4C2×C5×D411yescharacteristic
596C4⋊C4C2×C5×D411yescharacteristic
597C4⋊C4C2×C5×D411yescharacteristic
598C4⋊C4C2×C5×D411yescharacteristic
599C4⋊C4C2×C5×D411yescharacteristic
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—48no—
617C22⋊C4—42no—
618C42—22no—
619C42—21no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—22no—
625C42—22no—
626C2×C5—22no—
627C2×C5—22no—
628C2×C5—41no—
629C2×C5—81no—
630C2×C5—82no—
631C2×C5#240411yescharacteristic
632C2×C5C2×#45511yescharacteristic
633C2×C5#302211yescharacteristic
634C23—22no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—24no—
639C23—41no—
640C23—42no—
641C23—42no—
642C23C5×#12011yescharacteristic
643C23C5×#12011yescharacteristic
644C23C22×C5×D411yescharacteristic
645Q8—24no—
646Q8—24no—
647Q8—22no—
648Q8—44no—
649Q8—44no—
650Q8—42no—
651Q8—42no—
652Q8—82no—
653D4—22no—
654D4—44no—
655D4—42no—
656D4—42no—
657D4—41no—
658D4—41no—
659D4—42no—
660D4—82no—
661D4—81no—
662D4—82no—
663D4—82no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—82no—
695C2×C4C5×#12011yescharacteristic
696C2×C4C5×#12011yescharacteristic
697C2×C4C22×C5×D411yescharacteristic
698C2×C4C22×C5×D411yescharacteristic
699C2×C4C2×C5×#4112yes—
700C2×C4C5×H(5,𝔽2)12yes—
701C8—42no—
702C8—42no—
703C5#2395511yescharacteristic, direct product factor, Sylow
704C22—21no—
705C22—21no—
706C22—21no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—44no—
712C22—41no—
713C22—42no—
714C22—42no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—84no—
719C22C5×#45512yes—
720C22C2×C5×#12011yescharacteristic
721C22C5×#54612yes—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—41no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—41no—
730C4—41no—
731C4—44no—
732C4—41no—
733C4—82no—
734C4C5×#52511yescharacteristic
735C4C5×#53511yescharacteristic
736C4C5×#54612yes—
737C2—22no—
738C2—22no—
739C2—41no—
740C2—82no—
741C2—81no—
742C2C5×#240411yescharacteristic
743C2C2×C5×#45511yescharacteristic
744C2C5×#302211yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC5×#3494C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C5 ◁ C23×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C5×#3004C2semidirect
3. C2×C5×#419C2semidirect
4. C5×#2436C2semidirect
5. C5×#2028C2semidirect
6. C5×#2004C2semidirect
7. C5×#1900C2semidirect
8. C5×#1885C2semidirect
9. C5×#1882C2semidirect
10. C5×#1871C2semidirect
11. C5×#1826C2semidirect
55. #23955C5direct (N × H)
157. #3004C2×C5semidirect
158. C2×#419C2×C5semidirect
159. #2436C2×C5semidirect
160. #2028C2×C5semidirect
161. #2004C2×C5semidirect
162. #1900C2×C5semidirect
163. #1885C2×C5semidirect
164. #1882C2×C5semidirect
165. #1871C2×C5semidirect
166. #1826C2×C5semidirect
188. C2×C5×Q8#41semidirect
540. C2×Q8C5×#41semidirect
703. C5#23955direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#34942
C5×#30042
C2×C5×#4192
C5×#24362
C5×#20282
C5×#20042
C5×#19002
C5×#18852
C5×#18822
C5×#18712
C5×#18262
#239555