Finite Group Databasebeta

← C5×#24380 #11947100

Subgroups — C5×#24380 #11947100

Order 1280.

1580 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×C22⋊Q8C211yesmaximal, characteristic
2C2×C5×#467C212yesmaximal, complemented
3C2×C5×#451C211yesmaximal, characteristic, complemented
4C22×C5×C22⋊C8C211yesmaximal, characteristic
5C5×#2848C211yesmaximal, characteristic
6C5×#2036C212yesmaximal, complemented
7C5×#2001C212yesmaximal, complemented
8C5×#1892C212yesmaximal, complemented
9C5×#1872C211yesmaximal, characteristic, complemented
10C5×#1852C211yesmaximal, characteristic, complemented
11C5×#1787C211yesmaximal, characteristic, complemented
12C23×C5×Q8C2211yescharacteristic
13C24×C4×C5C2211yescharacteristic
14C22×C5×Q16C2212yescomplemented
15C23×C5×C8C2212yes—
16C2×C5×C22⋊Q8—21no—
17C2×C5×C22⋊Q8—21no—
18C2×C5×C22⋊Q8—28no—
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×C22⋊Q8C2212yes—
21C2×C5×C22⋊Q8C2211yescharacteristic
22C2×C5×C22⋊Q8C2212yes—
23C2×C5×C22⋊Q8C2211yescharacteristic
24C22×C5×C4⋊C4—21no—
25C22×C5×C4⋊C4C2211yescharacteristic
26C22×C5×C22⋊C4—21no—
27C5×#467—28no—
28C5×#451—24no—
29C2×C5×#107C2212yescomplemented
30C2×C5×#103C2212yescomplemented
31C2×C5×#103C2212yescomplemented
32C2×C5×#103C2212yescomplemented
33C2×C5×#103C2212yescomplemented
34C2×C5×C22⋊C8—24no—
35C2×C5×C22⋊C8C2212yes—
36C2×C5×C22⋊C8C2211yescharacteristic
37C2×C5×C22⋊C8C2211yescharacteristic
38C5×#385—21no—
39C5×#385—21no—
40C5×#385—21no—
41C5×#380C2211yescharacteristic
42C5×#380C2211yescharacteristic
43C5×#380C2211yescharacteristic
44C5×#379—21no—
45C5×#340C2212yescomplemented
46C5×#340C2212yescomplemented
47#24380C511yesmaximal, characteristic, direct product factor, Sylow
48C25×C5D411yescharacteristic
49C22×C5×Q8—24no—
50C22×C5×Q8—21no—
51C22×C5×Q8—22no—
52C22×C5×Q8—22no—
53C22×C5×Q8—42no—
54C22×C5×Q8C2311yescharacteristic
55C22×C5×Q8C2312yes—
56C23×C4×C5—21no—
57C23×C4×C5—21no—
58C23×C4×C5—22no—
59C23×C4×C5—24no—
60C23×C4×C5—22no—
61C23×C4×C5—42no—
62C23×C4×C5D411yescharacteristic
63C23×C4×C5D411yescharacteristic
64C23×C4×C5D411yescharacteristic
65C23×C4×C5C2311yescharacteristic
66C23×C4×C5C2311yescharacteristic
67C23×C4×C5C2311yescharacteristic
68C2×C5×Q16—24no—
69C2×C5×Q16—24no—
70C2×C5×Q16—42no—
71C22×C5×C8—24no—
72C22×C5×C8—24no—
73C22×C5×C8—42no—
74C22×C5×C8C2312yes—
75C22×C5×C8C2312yes—
76C5×C22⋊Q8—28no—
77C5×C22⋊Q8—28no—
78C5×C22⋊Q8—24no—
79C5×C22⋊Q8—24no—
80C5×C22⋊Q8—24no—
81C5×C22⋊Q8—22no—
82C5×C22⋊Q8—24no—
83C5×C22⋊Q8—22no—
84C5×C22⋊Q8—42no—
85C5×C22⋊Q8D418yes—
86C2×C5×C4⋊C4—28no—
87C2×C5×C4⋊C4—22no—
88C2×C5×C4⋊C4—22no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—24no—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2312yes—
98C2×C5×C22⋊C4—28no—
99C2×C5×C22⋊C4—22no—
100C2×C5×C22⋊C4—22no—
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C5×C22⋊C4—21no—
104C2×C5×C22⋊C4—21no—
105C2×C5×C22⋊C4—21no—
106C2×C5×C22⋊C4—21no—
107C5×#107—24no—
108C5×#103—24no—
109C5×#103—24no—
110C5×#103—24no—
111C5×#103—42no—
112C5×C22⋊C8—22no—
113C5×C22⋊C8—24no—
114C5×C22⋊C8D414yes—
115C5×#95—21no—
116C5×#95—21no—
117C5×#95—21no—
118C22×C22⋊Q8C2×C511yescharacteristic
119C2×#467C2×C512yescomplemented
120C2×#451C2×C511yescharacteristic, complemented
121C22×C22⋊C8C2×C511yescharacteristic
122#2848C2×C511yescharacteristic
123#2036C2×C512yescomplemented
124#2001C2×C512yescomplemented
125#1892C2×C512yescomplemented
126#1872C2×C511yescharacteristic, complemented
127#1852C2×C511yescharacteristic, complemented
128#1787C2×C511yescharacteristic, complemented
129C24×C5—22no—
130C24×C5—22no—
131C24×C5—22no—
132C24×C5—22no—
133C24×C5—41no—
134C24×C5—41no—
135C24×C5Q1614yescomplemented
136C24×C5C2×D411yescharacteristic
137C24×C5C2×D411yescharacteristic
138C24×C5C2×D411yescharacteristic
139C2×C5×Q8—24no—
140C2×C5×Q8—22no—
141C2×C5×Q8—22no—
142C2×C5×Q8—21no—
143C2×C5×Q8—22no—
144C2×C5×Q8—22no—
145C2×C5×Q8—21no—
146C2×C5×Q8—22no—
147C2×C5×Q8—22no—
148C2×C5×Q8—22no—
149C2×C5×Q8—48no—
150C2×C5×Q8—48no—
151C2×C5×Q8—42no—
152C2×C5×Q8—42no—
153C2×C5×Q8C2×D414yes—
154C22×C4×C5—22no—
155C22×C4×C5—21no—
156C22×C4×C5—21no—
157C22×C4×C5—22no—
158C22×C4×C5—22no—
159C22×C4×C5—24no—
160C22×C4×C5—24no—
161C22×C4×C5—22no—
162C22×C4×C5—22no—
163C22×C4×C5—22no—
164C22×C4×C5—22no—
165C22×C4×C5—22no—
166C22×C4×C5—22no—
167C22×C4×C5—22no—
168C22×C4×C5—22no—
169C22×C4×C5—22no—
170C22×C4×C5—21no—
171C22×C4×C5—21no—
172C22×C4×C5—22no—
173C22×C4×C5—21no—
174C22×C4×C5—21no—
175C22×C4×C5—21no—
176C22×C4×C5—21no—
177C22×C4×C5—41no—
178C22×C4×C5—41no—
179C22×C4×C5—41no—
180C22×C4×C5—48no—
181C22×C4×C5—48no—
182C22×C4×C5—42no—
183C22×C4×C5—42no—
184C22×C4×C5—42no—
185C22×C4×C5—42no—
186C22×C4×C5C2×D411yescharacteristic
187C22×C4×C5C2×D411yescharacteristic
188C22×C4×C5C2×D414yes—
189C22×C4×C5C2×D411yescharacteristic
190C22×C4×C5C2×D412yes—
191C22×C4×C5#4112yes—
192C22×C4×C5C2411yescharacteristic
193C5×Q16—48no—
194C2×C5×C8—22no—
195C2×C5×C8—22no—
196C2×C5×C8—22no—
197C2×C5×C8—22no—
198C2×C5×C8—22no—
199C2×C5×C8—48no—
200C2×C5×C8C2×D414yes—
201C5×C4⋊C4—24no—
202C5×C4⋊C4—28no—
203C5×C4⋊C4—28no—
204C5×C4⋊C4—22no—
205C5×C4⋊C4—21no—
206C5×C4⋊C4—22no—
207C5×C4⋊C4—21no—
208C5×C4⋊C4—22no—
209C5×C4⋊C4—42no—
210C5×C4⋊C4—42no—
211C5×C4⋊C4—42no—
212C5×C4⋊C4C2×D414yes—
213C5×C22⋊C4—28no—
214C5×C22⋊C4—28no—
215C5×C22⋊C4—42no—
216C5×C22⋊C4—42no—
217C5×C22⋊C4—42no—
218C5×C22⋊C4—42no—
219C5×C22⋊C4—42no—
220C5×C22⋊C4—42no—
221C23×Q8C22×C511yescharacteristic
222C24×C4C22×C511yescharacteristic
223C22×Q16C22×C512yescomplemented
224C23×C8C22×C512yes—
225C2×C22⋊Q8—21no—
226C2×C22⋊Q8—21no—
227C2×C22⋊Q8—28no—
228C2×C22⋊Q8C22×C511yescharacteristic
229C2×C22⋊Q8C22×C511yescharacteristic
230C2×C22⋊Q8C22×C512yes—
231C2×C22⋊Q8C22×C512yes—
232C2×C22⋊Q8C22×C511yescharacteristic
233C22×C4⋊C4—21no—
234C22×C4⋊C4C22×C511yescharacteristic
235C22×C22⋊C4—21no—
236#467—28no—
237#451—24no—
238C2×#107C22×C512yescomplemented
239C2×#103C22×C512yescomplemented
240C2×#103C22×C512yescomplemented
241C2×#103C22×C512yescomplemented
242C2×#103C22×C512yescomplemented
243C2×C22⋊C8—24no—
244C2×C22⋊C8C22×C511yescharacteristic
245C2×C22⋊C8C22×C512yes—
246C2×C22⋊C8C22×C511yescharacteristic
247#385—21no—
248#385—21no—
249#385—21no—
250#380C22×C511yescharacteristic
251#380C22×C511yescharacteristic
252#380C22×C511yescharacteristic
253#379—21no—
254#340C22×C512yescomplemented
255#340C22×C512yescomplemented
256C23×C5—21no—
257C23×C5—21no—
258C23×C5—21no—
259C23×C5—21no—
260C23×C5—21no—
261C23×C5—21no—
262C23×C5—21no—
263C23×C5—21no—
264C23×C5—21no—
265C23×C5—21no—
266C23×C5—21no—
267C23×C5—21no—
268C23×C5—21no—
269C23×C5—21no—
270C23×C5—28no—
271C23×C5—28no—
272C23×C5—44no—
273C23×C5—44no—
274C23×C5—44no—
275C23×C5—44no—
276C23×C5—44no—
277C23×C5#12012yes—
278C23×C5#12112yes—
279C23×C5C2×Q1612yes—
280C23×C5C2×Q1612yes—
281C23×C5C2×Q1612yes—
282C23×C5#13512yes—
283C23×C5#13712yes—
284C23×C5C22×D411yescharacteristic
285C5×Q8—24no—
286C5×Q8—24no—
287C5×Q8—48no—
288C5×Q8—42no—
289C5×Q8—42no—
290C5×Q8—42no—
291C5×Q8—42no—
292C2×C4×C5—21no—
293C2×C4×C5—21no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—24no—
297C2×C4×C5—24no—
298C2×C4×C5—24no—
299C2×C4×C5—24no—
300C2×C4×C5—24no—
301C2×C4×C5—24no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—44no—
306C2×C4×C5—44no—
307C2×C4×C5—44no—
308C2×C4×C5—48no—
309C2×C4×C5—48no—
310C2×C4×C5—42no—
311C2×C4×C5—42no—
312C2×C4×C5—42no—
313C2×C4×C5—42no—
314C2×C4×C5—42no—
315C2×C4×C5—42no—
316C2×C4×C5—41no—
317C2×C4×C5—41no—
318C2×C4×C5—41no—
319C2×C4×C5—41no—
320C2×C4×C5—41no—
321C2×C4×C5—41no—
322C2×C4×C5—41no—
323C2×C4×C5—41no—
324C2×C4×C5—41no—
325C2×C4×C5—41no—
326C2×C4×C5—41no—
327C2×C4×C5—41no—
328C2×C4×C5#12012yes—
329C2×C4×C5#12112yes—
330C2×C4×C5C22×D411yescharacteristic
331C2×C4×C5C22×D412yes—
332C2×C4×C5C2×#4111yescharacteristic
333C2×C4×C5H(5,𝔽2)12yes—
334C5×C8—24no—
335C5×C8—42no—
336C25C5×D411yescharacteristic
337C22×Q8—24no—
338C22×Q8—21no—
339C22×Q8—22no—
340C22×Q8—22no—
341C22×Q8—42no—
342C22×Q8C23×C511yescharacteristic
343C22×Q8C23×C512yes—
344C23×C4—21no—
345C23×C4—21no—
346C23×C4—24no—
347C23×C4—22no—
348C23×C4—22no—
349C23×C4—42no—
350C23×C4C5×D411yescharacteristic
351C23×C4C5×D411yescharacteristic
352C23×C4C5×D411yescharacteristic
353C23×C4C23×C511yescharacteristic
354C23×C4C23×C511yescharacteristic
355C23×C4C23×C511yescharacteristic
356C2×Q16—24no—
357C2×Q16—24no—
358C2×Q16—42no—
359C22×C8—24no—
360C22×C8—24no—
361C22×C8—42no—
362C22×C8C23×C512yes—
363C22×C8C23×C512yes—
364C22⋊Q8—28no—
365C22⋊Q8—28no—
366C22⋊Q8—24no—
367C22⋊Q8—24no—
368C22⋊Q8—24no—
369C22⋊Q8—22no—
370C22⋊Q8—24no—
371C22⋊Q8—22no—
372C22⋊Q8—42no—
373C22⋊Q8C5×D418yes—
374C2×C4⋊C4—28no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—24no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4C23×C511yescharacteristic
383C2×C4⋊C4C23×C511yescharacteristic
384C2×C4⋊C4C23×C511yescharacteristic
385C2×C4⋊C4C23×C512yes—
386C2×C22⋊C4—28no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395#107—24no—
396#103—24no—
397#103—24no—
398#103—24no—
399#103—42no—
400C22⋊C8—22no—
401C22⋊C8—24no—
402C22⋊C8C5×D414yes—
403#95—21no—
404#95—21no—
405#95—21no—
406C22×C5—22no—
407C22×C5—22no—
408C22×C5—22no—
409C22×C5—22no—
410C22×C5—22no—
411C22×C5—22no—
412C22×C5—22no—
413C22×C5—22no—
414C22×C5—22no—
415C22×C5—22no—
416C22×C5—22no—
417C22×C5—22no—
418C22×C5—22no—
419C22×C5—22no—
420C22×C5—22no—
421C22×C5—416no—
422C22×C5—41no—
423C22×C5—41no—
424C22×C5—41no—
425C22×C5—41no—
426C22×C5#45114yescomplemented
427C22×C5#46714yescomplemented
428C22×C5C2×#12011yescharacteristic
429C22×C5C2×#12111yescharacteristic
430C22×C5#53411yescharacteristic
431C22×C5C22×Q1611yescharacteristic
432C22×C5C2×#13511yescharacteristic
433C22×C5C2×#13711yescharacteristic
434C22×C5#57511yescharacteristic
435C4×C5—22no—
436C4×C5—22no—
437C4×C5—41no—
438C4×C5—44no—
439C4×C5—44no—
440C4×C5—81no—
441C4×C5—81no—
442C4×C5—81no—
443C4×C5—81no—
444C4×C5D4212yes—
445C4×C5#54612yes—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—41no—
451C24—41no—
452C24C5×Q1614yescomplemented
453C24C2×C5×D411yescharacteristic
454C24C2×C5×D411yescharacteristic
455C24C2×C5×D411yescharacteristic
456C2×Q8—24no—
457C2×Q8—22no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—21no—
461C2×Q8—22no—
462C2×Q8—21no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—48no—
467C2×Q8—48no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8C2×C5×D414yes—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4C2×C5×D411yescharacteristic
504C22×C4C2×C5×D411yescharacteristic
505C22×C4C2×C5×D414yes—
506C22×C4C2×C5×D411yescharacteristic
507C22×C4C2×C5×D412yes—
508C22×C4C5×#4112yes—
509C22×C4C24×C511yescharacteristic
510Q16—48no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—48no—
517C2×C8C2×C5×D414yes—
518C4⋊C4—24no—
519C4⋊C4—28no—
520C4⋊C4—28no—
521C4⋊C4—22no—
522C4⋊C4—21no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4C2×C5×D414yes—
530C22⋊C4—28no—
531C22⋊C4—28no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C2×C5—24no—
539C2×C5—24no—
540C2×C5—42no—
541C2×C5#241011yescharacteristic
542C2×C5C2×#45111yescharacteristic
543C2×C5#300211yescharacteristic
544C2×C5C2×#46711yescharacteristic
545C2×C5#305611yescharacteristic
546C2×C5#318911yescharacteristic
547C2×C5#319011yescharacteristic
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—28no—
557C23—28no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23C5×#12012yes—
570C23C5×#12112yes—
571C23C2×C5×Q1612yes—
572C23C2×C5×Q1612yes—
573C23C2×C5×Q1612yes—
574C23C5×#13512yes—
575C23C5×#13712yes—
576C23C22×C5×D411yescharacteristic
577Q8—24no—
578Q8—24no—
579Q8—48no—
580Q8—42no—
581Q8—42no—
582Q8—42no—
583Q8—42no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—44no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—48no—
601C2×C4—48no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4C5×#12012yes—
621C2×C4C5×#12112yes—
622C2×C4C22×C5×D411yescharacteristic
623C2×C4C22×C5×D412yes—
624C2×C4C2×C5×#4111yescharacteristic
625C2×C4C5×H(5,𝔽2)12yes—
626C8—24no—
627C8—42no—
628C5#2438011yescharacteristic, direct product factor, Sylow
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22C5×#45114yescomplemented
650C22C5×#46714yescomplemented
651C22C2×C5×#12011yescharacteristic
652C22C2×C5×#12111yescharacteristic
653C22C5×#53411yescharacteristic
654C22C22×C5×Q1611yescharacteristic
655C22C2×C5×#13511yescharacteristic
656C22C2×C5×#13711yescharacteristic
657C22C5×#57511yescharacteristic
658C4—22no—
659C4—22no—
660C4—44no—
661C4—41no—
662C4—44no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4C5×D4212yes—
668C4C5×#54612yes—
669C2—24no—
670C2—24no—
671C2—42no—
672C2C5×#241011yescharacteristic
673C2C2×C5×#45111yescharacteristic
674C2C5×#300211yescharacteristic
675C2C2×C5×#46711yescharacteristic
676C2C5×#305611yescharacteristic
677C2C5×#318911yescharacteristic
678C2C5×#319011yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC25×C5D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C24×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C5×#467C2semidirect
3. C2×C5×#451C2semidirect
6. C5×#2036C2semidirect
7. C5×#2001C2semidirect
8. C5×#1892C2semidirect
9. C5×#1872C2semidirect
10. C5×#1852C2semidirect
11. C5×#1787C2semidirect
14. C22×C5×Q16C22semidirect
29. C2×C5×#107C22semidirect
30. C2×C5×#103C22semidirect
31. C2×C5×#103C22semidirect
32. C2×C5×#103C22semidirect
33. C2×C5×#103C22semidirect
45. C5×#340C22semidirect
46. C5×#340C22semidirect
47. #24380C5direct (N × H)
119. C2×#467C2×C5semidirect
120. C2×#451C2×C5semidirect
123. #2036C2×C5semidirect
124. #2001C2×C5semidirect
125. #1892C2×C5semidirect
126. #1872C2×C5semidirect
127. #1852C2×C5semidirect
128. #1787C2×C5semidirect
135. C24×C5Q16semidirect
223. C22×Q16C22×C5semidirect
238. C2×#107C22×C5semidirect
239. C2×#103C22×C5semidirect
240. C2×#103C22×C5semidirect
241. C2×#103C22×C5semidirect
242. C2×#103C22×C5semidirect
254. #340C22×C5semidirect
255. #340C22×C5semidirect
426. C22×C5#451semidirect
427. C22×C5#467semidirect
452. C24C5×Q16semidirect
628. C5#24380direct (N × H)
649. C22C5×#451semidirect
650. C22C5×#467semidirect

Maximal subgroups

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

subgroupindex
C22×C5×C22⋊Q82
C2×C5×#4672
C2×C5×#4512
C22×C5×C22⋊C82
C5×#28482
C5×#20362
C5×#20012
C5×#18922
C5×#18722
C5×#18522
C5×#17872
#243805