Finite Group Databasebeta

← C5×#18472 #11941192

Subgroups — C5×#18472 #11941192

Order 1280.

846 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3564C211yesmaximal, characteristic
2C5×#3238C211yesmaximal, characteristic, complemented
3C5×#3229C211yesmaximal, characteristic, complemented
4C5×#2821C211yesmaximal, characteristic, complemented
5C5×#1612C212yesmaximal
6C5×#1611C212yesmaximal, complemented
7C5×#1609C212yesmaximal, complemented
8C5×#1608C212yesmaximal, complemented
9C5×#1521C211yesmaximal, characteristic, complemented
10C5×#1515C211yesmaximal, characteristic, complemented
11C5×#1473C211yesmaximal, characteristic, complemented
12C5×#563—21no—
13C5×#563—21no—
14C5×#556—21no—
15C5×#554—21no—
16C5×#552—21no—
17C5×#552—21no—
18C5×#551—21no—
19C5×#551—21no—
20C5×#544C2211yescharacteristic
21C5×#543C2211yescharacteristic
22C5×#542—21no—
23C5×#541—21no—
24C5×#541—21no—
25C5×#539—21no—
26C5×#539C2211yescharacteristic
27C5×#538C2211yescharacteristic
28C5×#533C2211yescharacteristic
29C2×C5×C4⋊Q8C2211yescharacteristic
30C5×#529C2211yescharacteristic
31C2×C5×#126C2211yescharacteristic
32C5×#501—21no—
33C5×#498—21no—
34C5×#489—21no—
35C5×#487—21no—
36C5×#483C2212yes—
37C5×#483C2212yes—
38C5×#483C2212yes—
39C5×#480C2212yes—
40C5×#477—21no—
41C5×#476—21no—
42C5×#475—21no—
43C5×#475—21no—
44C5×#432C2211yescharacteristic
45C5×#431C2211yescharacteristic
46C5×#400—21no—
47C5×#399—21no—
48C5×#398C2212yes—
49C5×#397C2212yes—
50C5×#395—21no—
51C5×#393—21no—
52C5×#383C2211yescharacteristic
53C5×#328C2212yes—
54C5×#328C2212yes—
55C5×#328C2212yes—
56C5×#327C2212yes—
57C5×#324C2212yes—
58C5×#323C2212yes—
59#18472C511yesmaximal, characteristic, direct product factor, Sylow
60C22×C5×Q8—21no—
61C5×C4⋊Q8—21no—
62C5×C4⋊Q8—21no—
63C5×C4⋊Q8—21no—
64C5×C4⋊Q8—21no—
65C5×C4⋊Q8—21no—
66C5×C4⋊Q8—21no—
67C5×C4⋊Q8—21no—
68C5×C4⋊Q8D411yescharacteristic
69C5×C4⋊Q8D411yescharacteristic
70C5×#126—21no—
71C5×#126—21no—
72C5×#126—21no—
73C5×#126—21no—
74C5×#126—21no—
75C5×#126—21no—
76C5×#126—21no—
77C5×#126—21no—
78C5×#126—21no—
79C5×#126—21no—
80C5×#126—21no—
81C5×#126—21no—
82C5×#126—21no—
83C5×#125—21no—
84C5×#125—21no—
85C5×#125—21no—
86C5×#125—21no—
87C5×#125—21no—
88C5×#125—21no—
89C5×#125—21no—
90C5×#125—21no—
91C5×#125—21no—
92C5×#125D411yescharacteristic
93C5×#124—21no—
94C5×#124—21no—
95C5×#124—21no—
96C5×#124D411yescharacteristic
97C5×#123—21no—
98C5×#123—21no—
99C5×#123—21no—
100C5×#123—21no—
101C5×#123—21no—
102C5×#123—21no—
103C5×#123—21no—
104C5×#123—21no—
105C5×C22⋊Q8—21no—
106C5×C22⋊Q8—21no—
107C5×C22⋊Q8—21no—
108C5×C22⋊Q8—21no—
109C5×C22⋊Q8—21no—
110C5×C22⋊Q8—21no—
111C5×C22⋊Q8—21no—
112C5×C22⋊Q8—21no—
113C5×C22⋊Q8—21no—
114C5×C22⋊Q8—21no—
115C5×C22⋊Q8—21no—
116C5×C22⋊Q8—21no—
117C5×C22⋊Q8—21no—
118C5×C22⋊Q8—21no—
119C5×C22⋊Q8C2311yescharacteristic
120C5×C22⋊Q8C2311yescharacteristic
121C5×C22⋊Q8C2311yescharacteristic
122C5×#121—21no—
123C5×#121C2311yescharacteristic
124C5×#120—21no—
125C4×C5×Q8—21no—
126C4×C5×Q8—21no—
127C4×C5×Q8—21no—
128C4×C5×Q8D411yescharacteristic
129C4×C5×Q8D411yescharacteristic
130C4×C5×Q8D411yescharacteristic
131C4×C5×D4—21no—
132C4×C5×D4—21no—
133C4×C5×D4—21no—
134C4×C5×D4—21no—
135C4×C5×D4—21no—
136C4×C5×D4D411yescharacteristic
137C5×#117—21no—
138C5×#117—21no—
139C5×#117—21no—
140C5×#117—21no—
141C5×#117—21no—
142C5×#117—21no—
143C2×C5×C4⋊C4—21no—
144C2×C5×C4⋊C4—21no—
145C2×C5×C4⋊C4—22no—
146C2×C5×C4⋊C4D411yescharacteristic
147C2×C5×C4⋊C4D411yescharacteristic
148C2×C5×C4⋊C4C2312yes—
149C2×C5×C4⋊C4C2311yescharacteristic
150C2×C5×C22⋊C4—21no—
151C2×C5×C22⋊C4—22no—
152C2×C5×C22⋊C4D411yescharacteristic
153C2×C5×C22⋊C4D411yescharacteristic
154C2×C5×C22⋊C4C2311yescharacteristic
155C2×C42×C5C2311yescharacteristic
156C5×#107—22no—
157C5×#106—22no—
158C5×#106—22no—
159C5×#106—22no—
160C5×C4⋊C8—21no—
161C5×C4⋊C8—21no—
162C5×#103—22no—
163C5×#103—22no—
164C5×#103—22no—
165C5×#102—22no—
166C5×C22⋊C8C2312yes—
167C5×C22⋊C8C2312yes—
168C5×#97—21no—
169C4×C5×C8—21no—
170C5×#95—21no—
171C5×#95—21no—
172C5×#95—22no—
173C5×#95—22no—
174C5×#95C2312yes—
175#3564C2×C511yescharacteristic
176#3238C2×C511yescharacteristic, complemented
177#3229C2×C511yescharacteristic, complemented
178#2821C2×C511yescharacteristic, complemented
179#1612C2×C512yes—
180#1611C2×C512yescomplemented
181#1609C2×C512yescomplemented
182#1608C2×C512yescomplemented
183#1521C2×C511yescharacteristic, complemented
184#1515C2×C511yescharacteristic, complemented
185#1473C2×C511yescharacteristic, complemented
186C24×C5C2×D411yescharacteristic
187C2×C5×Q8—21no—
188C2×C5×Q8—21no—
189C2×C5×Q8—21no—
190C2×C5×Q8—41no—
191C2×C5×Q8—41no—
192C2×C5×Q8—82no—
193C2×C5×Q8C2×D411yescharacteristic
194C2×C5×Q8C2×D411yescharacteristic
195C2×C5×Q8C2×D411yescharacteristic
196C2×C5×D4—21no—
197C2×C5×D4—21no—
198C2×C5×D4—21no—
199C2×C5×D4C2×D411yescharacteristic
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—22no—
206C22×C4×C5—22no—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2411yescharacteristic
213C2×C5×C8—22no—
214C2×C5×C8—22no—
215C5×C4⋊C4—21no—
216C5×C4⋊C4—21no—
217C5×C4⋊C4—21no—
218C5×C4⋊C4—21no—
219C5×C4⋊C4—21no—
220C5×C4⋊C4—21no—
221C5×C4⋊C4—21no—
222C5×C4⋊C4—21no—
223C5×C4⋊C4—21no—
224C5×C4⋊C4—21no—
225C5×C4⋊C4—21no—
226C5×C4⋊C4—21no—
227C5×C4⋊C4—21no—
228C5×C4⋊C4—21no—
229C5×C4⋊C4—21no—
230C5×C4⋊C4—21no—
231C5×C4⋊C4—21no—
232C5×C4⋊C4—21no—
233C5×C4⋊C4—21no—
234C5×C4⋊C4—21no—
235C5×C4⋊C4—21no—
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⋊C4—21no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4—22no—
245C5×C4⋊C4—22no—
246C5×C4⋊C4—41no—
247C5×C4⋊C4—41no—
248C5×C4⋊C4—82no—
249C5×C4⋊C4C2×D411yescharacteristic
250C5×C4⋊C4C2×D411yescharacteristic
251C5×C4⋊C4C2×D411yescharacteristic
252C5×C4⋊C4C2×D411yescharacteristic
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—21no—
261C5×C22⋊C4—21no—
262C5×C22⋊C4—21no—
263C5×C22⋊C4—21no—
264C5×C22⋊C4—21no—
265C5×C22⋊C4—21no—
266C5×C22⋊C4—21no—
267C5×C22⋊C4—21no—
268C5×C22⋊C4—21no—
269C5×C22⋊C4—21no—
270C5×C22⋊C4—21no—
271C5×C22⋊C4—21no—
272C5×C22⋊C4—21no—
273C5×C22⋊C4—21no—
274C5×C22⋊C4—82no—
275C42×C5—21no—
276C42×C5—21no—
277C42×C5—21no—
278C42×C5—21no—
279C42×C5—21no—
280C42×C5—21no—
281C42×C5—21no—
282C42×C5C2×D411yescharacteristic
283C42×C5C2×D411yescharacteristic
284C42×C5C2×D411yescharacteristic
285C42×C5C2×D411yescharacteristic
286#563—21no—
287#563—21no—
288#556—21no—
289#554—21no—
290#552—21no—
291#552—21no—
292#551—21no—
293#551—21no—
294#544C22×C511yescharacteristic
295#543C22×C511yescharacteristic
296#542—21no—
297#541—21no—
298#541—21no—
299#539—21no—
300#539C22×C511yescharacteristic
301#538C22×C511yescharacteristic
302#533C22×C511yescharacteristic
303C2×C4⋊Q8C22×C511yescharacteristic
304#529C22×C511yescharacteristic
305C2×#126C22×C511yescharacteristic
306#501—21no—
307#498—21no—
308#489—21no—
309#487—21no—
310#483C22×C512yes—
311#483C22×C512yes—
312#483C22×C512yes—
313#480C22×C512yes—
314#477—21no—
315#476—21no—
316#475—21no—
317#475—21no—
318#432C22×C511yescharacteristic
319#431C22×C511yescharacteristic
320#400—21no—
321#399—21no—
322#398C22×C512yes—
323#397C22×C512yes—
324#395—21no—
325#393—21no—
326#383C22×C511yescharacteristic
327#328C22×C512yes—
328#328C22×C512yes—
329#328C22×C512yes—
330#327C22×C512yes—
331#324C22×C512yes—
332#323C22×C512yes—
333C23×C5—21no—
334C23×C5—21no—
335C23×C5—22no—
336C23×C5—41no—
337C23×C5—41no—
338C23×C5C22×D411yescharacteristic
339C5×Q8—41no—
340C5×Q8—41no—
341C5×Q8—41no—
342C5×Q8—81no—
343C5×Q8—82no—
344C5×Q8—82no—
345C5×Q8—81no—
346C5×Q8—81no—
347C5×D4—41no—
348C5×D4—42no—
349C5×D4—81no—
350C5×D4—81no—
351C2×C4×C5—22no—
352C2×C4×C5—21no—
353C2×C4×C5—21no—
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—21no—
362C2×C4×C5—22no—
363C2×C4×C5—41no—
364C2×C4×C5—41no—
365C2×C4×C5—41no—
366C2×C4×C5—41no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5—81no—
374C2×C4×C5—81no—
375C2×C4×C5—81no—
376C2×C4×C5—81no—
377C2×C4×C5—81no—
378C2×C4×C5#12011yescharacteristic
379C2×C4×C5#12011yescharacteristic
380C2×C4×C5#12011yescharacteristic
381C2×C4×C5#12011yescharacteristic
382C2×C4×C5C22×D411yescharacteristic
383C2×C4×C5C22×D411yescharacteristic
384C5×C8—42no—
385C5×C8—42no—
386C22×Q8—21no—
387C4⋊Q8—21no—
388C4⋊Q8—21no—
389C4⋊Q8—21no—
390C4⋊Q8—21no—
391C4⋊Q8—21no—
392C4⋊Q8—21no—
393C4⋊Q8—21no—
394C4⋊Q8C5×D411yescharacteristic
395C4⋊Q8C5×D411yescharacteristic
396#126—21no—
397#126—21no—
398#126—21no—
399#126—21no—
400#126—21no—
401#126—21no—
402#126—21no—
403#126—21no—
404#126—21no—
405#126—21no—
406#126—21no—
407#126—21no—
408#126—21no—
409#125—21no—
410#125—21no—
411#125—21no—
412#125—21no—
413#125—21no—
414#125—21no—
415#125—21no—
416#125—21no—
417#125—21no—
418#125C5×D411yescharacteristic
419#124—21no—
420#124—21no—
421#124—21no—
422#124C5×D411yescharacteristic
423#123—21no—
424#123—21no—
425#123—21no—
426#123—21no—
427#123—21no—
428#123—21no—
429#123—21no—
430#123—21no—
431C22⋊Q8—21no—
432C22⋊Q8—21no—
433C22⋊Q8—21no—
434C22⋊Q8—21no—
435C22⋊Q8—21no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8—21no—
445C22⋊Q8C23×C511yescharacteristic
446C22⋊Q8C23×C511yescharacteristic
447C22⋊Q8C23×C511yescharacteristic
448#121—21no—
449#121C23×C511yescharacteristic
450#120—21no—
451C4×Q8—21no—
452C4×Q8—21no—
453C4×Q8—21no—
454C4×Q8C5×D411yescharacteristic
455C4×Q8C5×D411yescharacteristic
456C4×Q8C5×D411yescharacteristic
457C4×D4—21no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4C5×D411yescharacteristic
463#117—21no—
464#117—21no—
465#117—21no—
466#117—21no—
467#117—21no—
468#117—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—22no—
472C2×C4⋊C4C5×D411yescharacteristic
473C2×C4⋊C4C5×D411yescharacteristic
474C2×C4⋊C4C23×C512yes—
475C2×C4⋊C4C23×C511yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—22no—
478C2×C22⋊C4C5×D411yescharacteristic
479C2×C22⋊C4C5×D411yescharacteristic
480C2×C22⋊C4C23×C511yescharacteristic
481C2×C42C23×C511yescharacteristic
482#107—22no—
483#106—22no—
484#106—22no—
485#106—22no—
486C4⋊C8—21no—
487C4⋊C8—21no—
488#103—22no—
489#103—22no—
490#103—22no—
491#102—22no—
492C22⋊C8C23×C512yes—
493C22⋊C8C23×C512yes—
494#97—21no—
495C4×C8—21no—
496#95—21no—
497#95—21no—
498#95—22no—
499#95—22no—
500#95C23×C512yes—
501C22×C5—21no—
502C22×C5—21no—
503C22×C5—41no—
504C22×C5—41no—
505C22×C5—41no—
506C22×C5—41no—
507C22×C5—41no—
508C22×C5—41no—
509C22×C5—82no—
510C22×C5C2×#12011yescharacteristic
511C22×C5#57712yes—
512C4×C5—21no—
513C4×C5—21no—
514C4×C5—21no—
515C4×C5—21no—
516C4×C5—21no—
517C4×C5—21no—
518C4×C5—41no—
519C4×C5—41no—
520C4×C5—41no—
521C4×C5—41no—
522C4×C5—41no—
523C4×C5—41no—
524C4×C5—41no—
525C4×C5—41no—
526C4×C5—41no—
527C4×C5—41no—
528C4×C5—82no—
529C4×C5—82no—
530C24C2×C5×D411yescharacteristic
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—82no—
537C2×Q8C2×C5×D411yescharacteristic
538C2×Q8C2×C5×D411yescharacteristic
539C2×Q8C2×C5×D411yescharacteristic
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4C2×C5×D411yescharacteristic
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4C2×C5×D411yescharacteristic
552C22×C4C2×C5×D411yescharacteristic
553C22×C4C2×C5×D411yescharacteristic
554C22×C4C2×C5×D411yescharacteristic
555C22×C4C2×C5×D411yescharacteristic
556C22×C4C24×C511yescharacteristic
557C2×C8—22no—
558C2×C8—22no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4—82no—
593C4⋊C4C2×C5×D411yescharacteristic
594C4⋊C4C2×C5×D411yescharacteristic
595C4⋊C4C2×C5×D411yescharacteristic
596C4⋊C4C2×C5×D411yescharacteristic
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—82no—
619C42—21no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42C2×C5×D411yescharacteristic
627C42C2×C5×D411yescharacteristic
628C42C2×C5×D411yescharacteristic
629C42C2×C5×D411yescharacteristic
630C2×C5—22no—
631C2×C5—81no—
632C2×C5—81no—
633C2×C5#301011yescharacteristic
634C2×C5#302211yescharacteristic
635C2×C5#302811yescharacteristic
636C23—21no—
637C23—21no—
638C23—22no—
639C23—41no—
640C23—41no—
641C23C22×C5×D411yescharacteristic
642Q8—41no—
643Q8—41no—
644Q8—41no—
645Q8—81no—
646Q8—82no—
647Q8—82no—
648Q8—81no—
649Q8—81no—
650D4—41no—
651D4—42no—
652D4—81no—
653D4—81no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4C5×#12011yescharacteristic
682C2×C4C5×#12011yescharacteristic
683C2×C4C5×#12011yescharacteristic
684C2×C4C5×#12011yescharacteristic
685C2×C4C22×C5×D411yescharacteristic
686C2×C4C22×C5×D411yescharacteristic
687C8—42no—
688C8—42no—
689C5#1847211yescharacteristic, direct product factor, Sylow
690C22—21no—
691C22—21no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—82no—
699C22C2×C5×#12011yescharacteristic
700C22C5×#57712yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—82no—
718C4—82no—
719C2—22no—
720C2—81no—
721C2—81no—
722C2C5×#301011yescharacteristic
723C2C5×#302211yescharacteristic
724C2C5×#302811yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC5×#538C22
LCSG ▷ C22×C4 ▷ 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×#3238C2semidirect
3. C5×#3229C2semidirect
4. C5×#2821C2semidirect
6. C5×#1611C2semidirect
7. C5×#1609C2semidirect
8. C5×#1608C2semidirect
9. C5×#1521C2semidirect
10. C5×#1515C2semidirect
11. C5×#1473C2semidirect
59. #18472C5direct (N × H)
176. #3238C2×C5semidirect
177. #3229C2×C5semidirect
178. #2821C2×C5semidirect
180. #1611C2×C5semidirect
181. #1609C2×C5semidirect
182. #1608C2×C5semidirect
183. #1521C2×C5semidirect
184. #1515C2×C5semidirect
185. #1473C2×C5semidirect
689. C5#18472direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35642
C5×#32382
C5×#32292
C5×#28212
C5×#16122
C5×#16112
C5×#16092
C5×#16082
C5×#15212
C5×#15152
C5×#14732
#184725