Finite Group Databasebeta

← C5×#26397 #11949117

Subgroups — C5×#26397 #11949117

Order 1280.

858 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#477C211yesmaximal, characteristic, complemented
2C2×C5×#440C211yesmaximal, characteristic
3C5×#2452C211yesmaximal, characteristic
4C5×Q8×C4⋊C4C211yesmaximal, characteristic, complemented
5C5×#2093C211yesmaximal, characteristic
6C5×#2083C211yesmaximal, characteristic, complemented
7C5×#2065C211yesmaximal, characteristic
8C5×#2057C211yesmaximal, characteristic, complemented
9C5×#1944C211yesmaximal, characteristic, complemented
10C5×#1917C211yesmaximal, characteristic, complemented
11C5×#1880C211yesmaximal, characteristic
12C5×#1880C211yesmaximal, characteristic
13C5×#1865C211yesmaximal, characteristic, complemented
14C5×#1863C211yesmaximal, characteristic, complemented
15C5×#1862C211yesmaximal, characteristic
16C22×C5×SD16C2211yescharacteristic
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×C22⋊Q8—21no—
19C2×C4×C5×Q8C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C2×C4×C5×Q8C2211yescharacteristic
22C2×C4×C5×D4C2211yescharacteristic
23C5×#477—24no—
24C5×#440—24no—
25C2×C5×#107C2211yescharacteristic
26C2×C5×#107C2211yescharacteristic
27C2×C5×#107C2211yescharacteristic
28C2×C5×#107C2211yescharacteristic
29C2×C5×#106C2211yescharacteristic
30C2×C5×C4⋊C8C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C2×C5×#97C2211yescharacteristic
38C5×#396—21no—
39C5×#393—21no—
40C5×#390C2211yescharacteristic
41C5×#390C2211yescharacteristic
42C5×#389—21no—
43C5×#389—21no—
44C5×#389C2211yescharacteristic
45C5×#389C2211yescharacteristic
46C5×#389C2211yescharacteristic
47C5×#389C2211yescharacteristic
48C5×#385—21no—
49C5×#384—21no—
50C5×#384C2211yescharacteristic
51C4×C5×C4⋊C4—21no—
52C4×C5×C4⋊C4C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26397C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8—21no—
63C22×C5×Q8C2311yescharacteristic
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5—21no—
66C2×C5×SD16—22no—
67C2×C5×SD16—22no—
68C2×C5×SD16Q814yescomplemented
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C5×C4⋊Q8—22no—
74C5×C4⋊Q8—41no—
75C5×C22⋊Q8—44no—
76C4×C5×Q8—22no—
77C4×C5×Q8—22no—
78C4×C5×Q8—22no—
79C4×C5×Q8—22no—
80C4×C5×Q8—41no—
81C4×C5×Q8—41no—
82C4×C5×D4—22no—
83C4×C5×D4—41no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4—21no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—21no—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4D411yescharacteristic
95C2×C5×C4⋊C4D411yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
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—
107C2×C42×C5—21no—
108C2×C42×C5—21no—
109C2×C42×C5—21no—
110C2×C42×C5C2311yescharacteristic
111C2×C42×C5C2311yescharacteristic
112C2×C42×C5C2311yescharacteristic
113C5×#107—22no—
114C5×#107—22no—
115C5×#107—22no—
116C5×#107—41no—
117C5×#106—22no—
118C5×C4⋊C8—22no—
119C5×#103—22no—
120C5×#103—22no—
121C5×#103D414yes—
122C5×#102—22no—
123C5×#102—22no—
124C5×#102—41no—
125C5×#97—22no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95D411yescharacteristic
131C5×#95D411yescharacteristic
132C2×#477C2×C511yescharacteristic, complemented
133C2×#440C2×C511yescharacteristic
134#2452C2×C511yescharacteristic
135Q8×C4⋊C4C2×C511yescharacteristic, complemented
136#2093C2×C511yescharacteristic
137#2083C2×C511yescharacteristic, complemented
138#2065C2×C511yescharacteristic
139#2057C2×C511yescharacteristic, complemented
140#1944C2×C511yescharacteristic, complemented
141#1917C2×C511yescharacteristic, complemented
142#1880C2×C511yescharacteristic
143#1880C2×C511yescharacteristic
144#1865C2×C511yescharacteristic, complemented
145#1863C2×C511yescharacteristic, complemented
146#1862C2×C511yescharacteristic
147C24×C5—21no—
148C2×C5×Q8—21no—
149C2×C5×Q8—21no—
150C2×C5×Q8—21no—
151C2×C5×Q8—42no—
152C2×C5×Q8—42no—
153C2×C5×Q8—81no—
154C2×C5×Q8C2×D412yes—
155C2×C5×Q8C2×Q812yes—
156C2×C5×Q8#4112yes—
157C2×C5×D4—21no—
158C2×C5×D4—21no—
159C2×C5×D4—21no—
160C2×C5×D4—21no—
161C2×C5×D4—21no—
162C2×C5×D4C2×Q812yes—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—21no—
166C22×C4×C5—21no—
167C22×C4×C5—21no—
168C22×C4×C5—21no—
169C22×C4×C5—21no—
170C22×C4×C5—42no—
171C22×C4×C5—42no—
172C22×C4×C5—81no—
173C22×C4×C5C2×D411yescharacteristic
174C22×C4×C5C2×D411yescharacteristic
175C22×C4×C5C2×D411yescharacteristic
176C22×C4×C5C2×D411yescharacteristic
177C22×C4×C5C2×D411yescharacteristic
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5C2411yescharacteristic
180C5×SD16—28no—
181C2×C5×C8—21no—
182C2×C5×C8—21no—
183C2×C5×C8—21no—
184C2×C5×C8—21no—
185C2×C5×C8—21no—
186C2×C5×C8—21no—
187C2×C5×C8—21no—
188C2×C5×C8—21no—
189C2×C5×C8—21no—
190C2×C5×C8—21no—
191C2×C5×C8C2×D412yes—
192C2×C5×C8C2×Q812yes—
193C5×C4⋊C4—24no—
194C5×C4⋊C4—22no—
195C5×C4⋊C4—22no—
196C5×C4⋊C4—21no—
197C5×C4⋊C4—21no—
198C5×C4⋊C4—21no—
199C5×C4⋊C4—21no—
200C5×C4⋊C4—21no—
201C5×C4⋊C4—21no—
202C5×C4⋊C4—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—21no—
205C5×C4⋊C4—21no—
206C5×C4⋊C4—42no—
207C5×C4⋊C4—42no—
208C5×C4⋊C4—42no—
209C5×C4⋊C4—42no—
210C5×C4⋊C4—42no—
211C5×C4⋊C4—42no—
212C5×C4⋊C4—81no—
213C5×C4⋊C4—81no—
214C5×C4⋊C4—81no—
215C5×C4⋊C4C2×D412yes—
216C5×C4⋊C4#4112yes—
217C5×C22⋊C4—42no—
218C5×C22⋊C4—42no—
219C5×C22⋊C4—42no—
220C5×C22⋊C4—42no—
221C5×C22⋊C4—81no—
222C42×C5—24no—
223C42×C5—21no—
224C42×C5—21no—
225C42×C5—21no—
226C42×C5—21no—
227C42×C5—21no—
228C42×C5—21no—
229C42×C5—42no—
230C42×C5—42no—
231C22×SD16C22×C511yescharacteristic
232C2×C4⋊Q8C22×C511yescharacteristic
233C2×C22⋊Q8—21no—
234C2×C4×Q8C22×C511yescharacteristic
235C2×C4×Q8C22×C511yescharacteristic
236C2×C4×Q8C22×C511yescharacteristic
237C2×C4×D4C22×C511yescharacteristic
238#477—24no—
239#440—24no—
240C2×#107C22×C511yescharacteristic
241C2×#107C22×C511yescharacteristic
242C2×#107C22×C511yescharacteristic
243C2×#107C22×C511yescharacteristic
244C2×#106C22×C511yescharacteristic
245C2×C4⋊C8C22×C511yescharacteristic
246C2×#103C22×C511yescharacteristic
247C2×#103C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#102C22×C511yescharacteristic
250C2×#102C22×C511yescharacteristic
251C2×#102C22×C511yescharacteristic
252C2×#97C22×C511yescharacteristic
253#396—21no—
254#393—21no—
255#390C22×C511yescharacteristic
256#390C22×C511yescharacteristic
257#389—21no—
258#389—21no—
259#389C22×C511yescharacteristic
260#389C22×C511yescharacteristic
261#389C22×C511yescharacteristic
262#389C22×C511yescharacteristic
263#385—21no—
264#384—21no—
265#384C22×C511yescharacteristic
266C4×C4⋊C4—21no—
267C4×C4⋊C4C22×C511yescharacteristic
268#340C22×C511yescharacteristic
269#340C22×C511yescharacteristic
270#340C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272#336C22×C511yescharacteristic
273#336C22×C511yescharacteristic
274#336C22×C511yescharacteristic
275#336C22×C511yescharacteristic
276C23×C5—22no—
277C23×C5—41no—
278C23×C5—41no—
279C23×C5—41no—
280C23×C5—41no—
281C23×C5—41no—
282C23×C5—41no—
283C23×C5C22×D411yescharacteristic
284C5×Q8—22no—
285C5×Q8—22no—
286C5×Q8—22no—
287C5×Q8—84no—
288C5×Q8C22⋊Q814yescomplemented
289C5×D4—22no—
290C5×D4—22no—
291C5×D4—41no—
292C5×D4—41no—
293C2×C4×C5—21no—
294C2×C4×C5—22no—
295C2×C4×C5—21no—
296C2×C4×C5—22no—
297C2×C4×C5—22no—
298C2×C4×C5—21no—
299C2×C4×C5—21no—
300C2×C4×C5—21no—
301C2×C4×C5—22no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—22no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
313C2×C4×C5—21no—
314C2×C4×C5—41no—
315C2×C4×C5—41no—
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—41no—
329C2×C4×C5—41no—
330C2×C4×C5—84no—
331C2×C4×C5AGL(1,ℤ/8)12yes—
332C2×C4×C5#13712yes—
333C2×C4×C5C22×D411yescharacteristic
334C2×C4×C5C22×Q811yescharacteristic
335C2×C4×C5C2×#4111yescharacteristic
336C2×C4×C5C2×#4111yescharacteristic
337C2×C4×C5H(5,𝔽2)11yescharacteristic
338C2×C4×C52−1+411yescharacteristic
339C5×C8—22no—
340C5×C8—22no—
341C5×C8—41no—
342C5×C8—41no—
343C22×Q8—21no—
344C22×Q8C23×C511yescharacteristic
345C22×D4C23×C511yescharacteristic
346C23×C4—21no—
347C2×SD16—22no—
348C2×SD16—22no—
349C2×SD16C5×Q814yescomplemented
350C22×C8C23×C511yescharacteristic
351C22×C8C23×C511yescharacteristic
352C22×C8C23×C511yescharacteristic
353C22×C8C23×C511yescharacteristic
354C4⋊Q8—22no—
355C4⋊Q8—41no—
356C22⋊Q8—44no—
357C4×Q8—22no—
358C4×Q8—22no—
359C4×Q8—22no—
360C4×Q8—22no—
361C4×Q8—41no—
362C4×Q8—41no—
363C4×D4—22no—
364C4×D4—41no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4C5×D411yescharacteristic
376C2×C4⋊C4C5×D411yescharacteristic
377C2×C4⋊C4C23×C511yescharacteristic
378C2×C4⋊C4C23×C511yescharacteristic
379C2×C4⋊C4C23×C511yescharacteristic
380C2×C4⋊C4C23×C511yescharacteristic
381C2×C4⋊C4C23×C511yescharacteristic
382C2×C4⋊C4C23×C511yescharacteristic
383C2×C22⋊C4—21no—
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—21no—
391C2×C42C23×C511yescharacteristic
392C2×C42C23×C511yescharacteristic
393C2×C42C23×C511yescharacteristic
394#107—22no—
395#107—22no—
396#107—22no—
397#107—41no—
398#106—22no—
399C4⋊C8—22no—
400#103—22no—
401#103—22no—
402#103C5×D414yes—
403#102—22no—
404#102—22no—
405#102—41no—
406#97—22no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95C5×D411yescharacteristic
412#95C5×D411yescharacteristic
413C22×C5—42no—
414C22×C5—42no—
415C22×C5—42no—
416C22×C5—81no—
417C22×C5—81no—
418C22×C5—81no—
419C22×C5—81no—
420C22×C5#52511yescharacteristic
421C22×C5D4211yescharacteristic
422C22×C5D4×Q811yescharacteristic
423C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
424C22×C5C2×#13711yescharacteristic
425C22×C5#57611yescharacteristic
426C22×C5#57811yescharacteristic
427C4×C5—22no—
428C4×C5—24no—
429C4×C5—22no—
430C4×C5—41no—
431C4×C5—42no—
432C4×C5—41no—
433C4×C5—41no—
434C4×C5—41no—
435C4×C5—42no—
436C4×C5—81no—
437C4×C5—81no—
438C4×C5—81no—
439C4×C5—81no—
440C4×C5C2×C22⋊Q811yescharacteristic
441C4×C5#53911yescharacteristic
442C4×C5#54711yescharacteristic
443C4×C5#55411yescharacteristic
444C24—21no—
445C2×Q8—21no—
446C2×Q8—21no—
447C2×Q8—21no—
448C2×Q8—42no—
449C2×Q8—42no—
450C2×Q8—81no—
451C2×Q8C2×C5×D412yes—
452C2×Q8C2×C5×Q812yes—
453C2×Q8C5×#4112yes—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4C2×C5×Q812yes—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—81no—
470C22×C4C2×C5×D411yescharacteristic
471C22×C4C2×C5×D411yescharacteristic
472C22×C4C2×C5×D411yescharacteristic
473C22×C4C2×C5×D411yescharacteristic
474C22×C4C2×C5×D411yescharacteristic
475C22×C4C2×C5×D411yescharacteristic
476C22×C4C24×C511yescharacteristic
477SD16—28no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8C2×C5×D412yes—
489C2×C8C2×C5×Q812yes—
490C4⋊C4—24no—
491C4⋊C4—22no—
492C4⋊C4—22no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—42no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4C2×C5×D412yes—
513C4⋊C4C5×#4112yes—
514C22⋊C4—42no—
515C22⋊C4—42no—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—81no—
519C42—24no—
520C42—21no—
521C42—21no—
522C42—21no—
523C42—21no—
524C42—21no—
525C42—21no—
526C42—42no—
527C42—42no—
528C2×C5—82no—
529C2×C5#244911yescharacteristic
530C2×C5#311211yescharacteristic
531C2×C5#312411yescharacteristic
532C2×C5#327011yescharacteristic
533C2×C5#327411yescharacteristic
534C2×C5#338511yescharacteristic
535C2×C5#338611yescharacteristic
536C23—22no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23C22×C5×D411yescharacteristic
544Q8—22no—
545Q8—22no—
546Q8—22no—
547Q8—84no—
548Q8C5×C22⋊Q814yescomplemented
549D4—22no—
550D4—22no—
551D4—41no—
552D4—41no—
553C2×C4—21no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—22no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—84no—
591C2×C4C5×AGL(1,ℤ/8)12yes—
592C2×C4C5×#13712yes—
593C2×C4C22×C5×D411yescharacteristic
594C2×C4C22×C5×Q811yescharacteristic
595C2×C4C2×C5×#4111yescharacteristic
596C2×C4C2×C5×#4111yescharacteristic
597C2×C4C5×H(5,𝔽2)11yescharacteristic
598C2×C4C5×2−1+411yescharacteristic
599C8—22no—
600C8—22no—
601C8—41no—
602C8—41no—
603C5#2639711yescharacteristic, direct product factor, Sylow
604C22—42no—
605C22—42no—
606C22—42no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22C5×#52511yescharacteristic
612C22C5×D4211yescharacteristic
613C22C5×D4×Q811yescharacteristic
614C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
615C22C2×C5×#13711yescharacteristic
616C22C5×#57611yescharacteristic
617C22C5×#57811yescharacteristic
618C4—22no—
619C4—22no—
620C4—24no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—42no—
625C4—41no—
626C4—42no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×C5×C22⋊Q811yescharacteristic
632C4C5×#53911yescharacteristic
633C4C5×#54711yescharacteristic
634C4C5×#55411yescharacteristic
635C2—82no—
636C2C5×#244911yescharacteristic
637C2C5×#311211yescharacteristic
638C2C5×#312411yescharacteristic
639C2C5×#327011yescharacteristic
640C2C5×#327411yescharacteristic
641C2C5×#338511yescharacteristic
642C2C5×#338611yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C4×C5×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#477C2semidirect
4. C5×Q8×C4⋊C4C2semidirect
6. C5×#2083C2semidirect
8. C5×#2057C2semidirect
9. C5×#1944C2semidirect
10. C5×#1917C2semidirect
13. C5×#1865C2semidirect
14. C5×#1863C2semidirect
61. #26397C5direct (N × H)
68. C2×C5×SD16Q8semidirect
132. C2×#477C2×C5semidirect
135. Q8×C4⋊C4C2×C5semidirect
137. #2083C2×C5semidirect
139. #2057C2×C5semidirect
140. #1944C2×C5semidirect
141. #1917C2×C5semidirect
144. #1865C2×C5semidirect
145. #1863C2×C5semidirect
288. C5×Q8C22⋊Q8semidirect
349. C2×SD16C5×Q8semidirect
548. Q8C5×C22⋊Q8semidirect
603. C5#26397direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4772
C2×C5×#4402
C5×#24522
C5×Q8×C4⋊C42
C5×#20932
C5×#20832
C5×#20652
C5×#20572
C5×#19442
C5×#19172
C5×#18802
C5×#18652
C5×#18632
C5×#18622
#263975