Finite Group Databasebeta

← C5×#26182 #11948902

Subgroups — C5×#26182 #11948902

Order 1280.

898 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#461C211yesmaximal, characteristic
2C2×C5×#440C211yesmaximal, characteristic
3C5×#2446C211yesmaximal, characteristic, complemented
4C5×D4×C4⋊C4C211yesmaximal, characteristic
5C5×#2095C211yesmaximal, characteristic, complemented
6C5×#2086C211yesmaximal, characteristic, complemented
7C5×#2072C211yesmaximal, characteristic, complemented
8C5×#2043C211yesmaximal, characteristic, complemented
9C5×#1935C211yesmaximal, characteristic, complemented
10C5×#1917C211yesmaximal, characteristic, complemented
11C5×#1877C211yesmaximal, characteristic
12C5×#1877C211yesmaximal, characteristic
13C5×#1877C211yesmaximal, characteristic
14C5×#1863C211yesmaximal, characteristic, complemented
15C5×#1862C211yesmaximal, characteristic
16C22×C5×SD16C2211yescharacteristic
17C22×C5×SD16C2211yescharacteristic
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×C4×C5×D4C2211yescharacteristic
22C2×C4×C5×D4C2211yescharacteristic
23C22×C5×C4⋊C4—21no—
24C5×#461—24no—
25C5×#440—24no—
26C2×C5×#107C2211yescharacteristic
27C2×C5×#107C2211yescharacteristic
28C2×C5×C4⋊C8C2211yescharacteristic
29C2×C5×#103C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#103C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C2×C5×#97C2211yescharacteristic
38C5×#400—21no—
39C5×#398—21no—
40C5×#391C2211yescharacteristic
41C5×#391C2211yescharacteristic
42C5×#391C2211yescharacteristic
43C5×#389C2211yescharacteristic
44C5×#389C2211yescharacteristic
45C5×#389C2211yescharacteristic
46C5×#387—21no—
47C5×#387—21no—
48C5×#385—21no—
49C5×#385—21no—
50C5×#384C2211yescharacteristic
51C5×#380—21no—
52C4×C5×C4⋊C4C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26182C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8C2311yescharacteristic
63C22×C5×Q8C2311yescharacteristic
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5—21no—
66C23×C4×C5—21no—
67C23×C4×C5—21no—
68C2×C5×SD16—22no—
69C2×C5×SD16—22no—
70C2×C5×SD16—22no—
71C2×C5×SD16—22no—
72C2×C5×SD16—22no—
73C2×C5×SD16D414yes—
74C22×C5×C8C2311yescharacteristic
75C22×C5×C8C2311yescharacteristic
76C22×C5×C8C2311yescharacteristic
77C22×C5×C8C2311yescharacteristic
78C5×C4⋊Q8—22no—
79C5×C4⋊Q8—41no—
80C4×C5×Q8—22no—
81C4×C5×Q8—41no—
82C4×C5×D4—22no—
83C4×C5×D4—22no—
84C4×C5×D4—22no—
85C4×C5×D4—22no—
86C4×C5×D4—41no—
87C4×C5×D4—41no—
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⋊C4—21no—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4—44no—
97C2×C5×C4⋊C4D411yescharacteristic
98C2×C5×C4⋊C4D411yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C4⋊C4C2311yescharacteristic
104C2×C5×C22⋊C4—21no—
105C2×C5×C22⋊C4—21no—
106C2×C5×C22⋊C4—21no—
107C2×C42×C5—21no—
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C2×C42×C5C2311yescharacteristic
111C5×#107—22no—
112C5×#107—41no—
113C5×C4⋊C8—22no—
114C5×#103—22no—
115C5×#103—22no—
116C5×#103—22no—
117C5×#103—22no—
118C5×#103—22no—
119C5×#103—41no—
120C5×#102—22no—
121C5×#102—22no—
122C5×#97—22no—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95—21no—
131C5×#95—21no—
132C5×#95D411yescharacteristic
133C5×#95D411yescharacteristic
134C2×#461C2×C511yescharacteristic
135C2×#440C2×C511yescharacteristic
136#2446C2×C511yescharacteristic, complemented
137D4×C4⋊C4C2×C511yescharacteristic
138#2095C2×C511yescharacteristic, complemented
139#2086C2×C511yescharacteristic, complemented
140#2072C2×C511yescharacteristic, complemented
141#2043C2×C511yescharacteristic, complemented
142#1935C2×C511yescharacteristic, complemented
143#1917C2×C511yescharacteristic, complemented
144#1877C2×C511yescharacteristic
145#1877C2×C511yescharacteristic
146#1877C2×C511yescharacteristic
147#1863C2×C511yescharacteristic, complemented
148#1862C2×C511yescharacteristic
149C24×C5—21no—
150C2×C5×Q8—21no—
151C2×C5×Q8—21no—
152C2×C5×Q8—21no—
153C2×C5×Q8—21no—
154C2×C5×Q8—21no—
155C2×C5×Q8—21no—
156C2×C5×Q8—21no—
157C2×C5×Q8—21no—
158C2×C5×Q8—21no—
159C2×C5×Q8—21no—
160C2×C5×Q8—21no—
161C2×C5×Q8C2×D412yes—
162C2×C5×D4—21no—
163C2×C5×D4—21no—
164C2×C5×D4—21no—
165C2×C5×D4C2×D412yes—
166C2×C5×D4#4112yes—
167C2×C5×D4#4112yes—
168C22×C4×C5—24no—
169C22×C4×C5—21no—
170C22×C4×C5—21no—
171C22×C4×C5—21no—
172C22×C4×C5—21no—
173C22×C4×C5—21no—
174C22×C4×C5—21no—
175C22×C4×C5—21no—
176C22×C4×C5—42no—
177C22×C4×C5—42no—
178C22×C4×C5—42no—
179C22×C4×C5—42no—
180C22×C4×C5—42no—
181C22×C4×C5—42no—
182C22×C4×C5—81no—
183C22×C4×C5—81no—
184C22×C4×C5C2×D411yescharacteristic
185C22×C4×C5C2×D411yescharacteristic
186C22×C4×C5C2×D411yescharacteristic
187C22×C4×C5C2×D411yescharacteristic
188C22×C4×C5C2×D411yescharacteristic
189C22×C4×C5C2×D411yescharacteristic
190C22×C4×C5C2411yescharacteristic
191C5×SD16—28no—
192C5×SD16—44no—
193C2×C5×C8—21no—
194C2×C5×C8—21no—
195C2×C5×C8—21no—
196C2×C5×C8—21no—
197C2×C5×C8—21no—
198C2×C5×C8—21no—
199C2×C5×C8—21no—
200C2×C5×C8—21no—
201C2×C5×C8—21no—
202C2×C5×C8—21no—
203C2×C5×C8—21no—
204C2×C5×C8C2×D412yes—
205C5×C4⋊C4—22no—
206C5×C4⋊C4—22no—
207C5×C4⋊C4—21no—
208C5×C4⋊C4—21no—
209C5×C4⋊C4—21no—
210C5×C4⋊C4—21no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—21no—
213C5×C4⋊C4—21no—
214C5×C4⋊C4—21no—
215C5×C4⋊C4—21no—
216C5×C4⋊C4—42no—
217C5×C4⋊C4—42no—
218C5×C4⋊C4—42no—
219C5×C4⋊C4—42no—
220C5×C4⋊C4—42no—
221C5×C4⋊C4—42no—
222C5×C4⋊C4—42no—
223C5×C4⋊C4—81no—
224C5×C4⋊C4#4112yes—
225C5×C22⋊C4—24no—
226C5×C22⋊C4—42no—
227C5×C22⋊C4—42no—
228C42×C5—21no—
229C42×C5—21no—
230C42×C5—21no—
231C42×C5—21no—
232C42×C5—21no—
233C42×C5—21no—
234C42×C5—42no—
235C22×SD16C22×C511yescharacteristic
236C22×SD16C22×C511yescharacteristic
237C2×C4⋊Q8C22×C511yescharacteristic
238C2×C4×Q8C22×C511yescharacteristic
239C2×C4×D4C22×C511yescharacteristic
240C2×C4×D4C22×C511yescharacteristic
241C2×C4×D4C22×C511yescharacteristic
242C22×C4⋊C4—21no—
243#461—24no—
244#440—24no—
245C2×#107C22×C511yescharacteristic
246C2×#107C22×C511yescharacteristic
247C2×C4⋊C8C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#103C22×C511yescharacteristic
251C2×#103C22×C511yescharacteristic
252C2×#103C22×C511yescharacteristic
253C2×#103C22×C511yescharacteristic
254C2×#102C22×C511yescharacteristic
255C2×#102C22×C511yescharacteristic
256C2×#97C22×C511yescharacteristic
257#400—21no—
258#398—21no—
259#391C22×C511yescharacteristic
260#391C22×C511yescharacteristic
261#391C22×C511yescharacteristic
262#389C22×C511yescharacteristic
263#389C22×C511yescharacteristic
264#389C22×C511yescharacteristic
265#387—21no—
266#387—21no—
267#385—21no—
268#385—21no—
269#384C22×C511yescharacteristic
270#380—21no—
271C4×C4⋊C4C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#336C22×C511yescharacteristic
277#336C22×C511yescharacteristic
278#336C22×C511yescharacteristic
279#336C22×C511yescharacteristic
280C23×C5—22no—
281C23×C5—22no—
282C23×C5—22no—
283C23×C5—41no—
284C23×C5—41no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5C22×D411yescharacteristic
288C5×Q8—22no—
289C5×Q8—22no—
290C5×Q8—41no—
291C5×Q8—41no—
292C5×Q8—41no—
293C5×Q8—41no—
294C5×Q8—41no—
295C5×Q8—41no—
296C5×D4—22no—
297C5×D4—22no—
298C5×D4—22no—
299C5×D4#12314yes—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
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—22no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
313C2×C4×C5—21no—
314C2×C4×C5—21no—
315C2×C4×C5—21no—
316C2×C4×C5—21no—
317C2×C4×C5—21no—
318C2×C4×C5—48no—
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—41no—
331C2×C4×C5—41no—
332C2×C4×C5—41no—
333C2×C4×C5—41no—
334C2×C4×C5—41no—
335C2×C4×C5—41no—
336C2×C4×C5—41no—
337C2×C4×C5—41no—
338C2×C4×C5—84no—
339C2×C4×C5—84no—
340C2×C4×C5AGL(1,ℤ/8)12yes—
341C2×C4×C5#13712yes—
342C2×C4×C5C22×D411yescharacteristic
343C2×C4×C5C2×#4111yescharacteristic
344C2×C4×C5C2×#4111yescharacteristic
345C2×C4×C5C2×#4111yescharacteristic
346C2×C4×C5H(5,𝔽2)11yescharacteristic
347C2×C4×C52−1+411yescharacteristic
348C5×C8—22no—
349C5×C8—41no—
350C5×C8—41no—
351C5×C8—41no—
352C22×Q8C23×C511yescharacteristic
353C22×Q8C23×C511yescharacteristic
354C22×D4C23×C511yescharacteristic
355C23×C4—21no—
356C23×C4—21no—
357C23×C4—21no—
358C2×SD16—22no—
359C2×SD16—22no—
360C2×SD16—22no—
361C2×SD16—22no—
362C2×SD16—22no—
363C2×SD16C5×D414yes—
364C22×C8C23×C511yescharacteristic
365C22×C8C23×C511yescharacteristic
366C22×C8C23×C511yescharacteristic
367C22×C8C23×C511yescharacteristic
368C4⋊Q8—22no—
369C4⋊Q8—41no—
370C4×Q8—22no—
371C4×Q8—41no—
372C4×D4—22no—
373C4×D4—22no—
374C4×D4—22no—
375C4×D4—22no—
376C4×D4—41no—
377C4×D4—41no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—44no—
387C2×C4⋊C4C5×D411yescharacteristic
388C2×C4⋊C4C5×D411yescharacteristic
389C2×C4⋊C4C23×C511yescharacteristic
390C2×C4⋊C4C23×C511yescharacteristic
391C2×C4⋊C4C23×C511yescharacteristic
392C2×C4⋊C4C23×C511yescharacteristic
393C2×C4⋊C4C23×C511yescharacteristic
394C2×C22⋊C4—21no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—21no—
397C2×C42—21no—
398C2×C42C23×C511yescharacteristic
399C2×C42C23×C511yescharacteristic
400C2×C42C23×C511yescharacteristic
401#107—22no—
402#107—41no—
403C4⋊C8—22no—
404#103—22no—
405#103—22no—
406#103—22no—
407#103—22no—
408#103—22no—
409#103—41no—
410#102—22no—
411#102—22no—
412#97—22no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—21no—
422#95C5×D411yescharacteristic
423#95C5×D411yescharacteristic
424C22×C5—24no—
425C22×C5—42no—
426C22×C5—42no—
427C22×C5—42no—
428C22×C5—42no—
429C22×C5—42no—
430C22×C5—42no—
431C22×C5#52511yescharacteristic
432C22×C5D4211yescharacteristic
433C22×C5#54811yescharacteristic
434C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
435C22×C5C2×#13711yescharacteristic
436C22×C5#57711yescharacteristic
437C22×C5#57811yescharacteristic
438C4×C5—22no—
439C4×C5—22no—
440C4×C5—42no—
441C4×C5—41no—
442C4×C5—42no—
443C4×C5—41no—
444C4×C5—41no—
445C4×C5—41no—
446C4×C5—81no—
447C4×C5—81no—
448C4×C5—81no—
449C4×C5—81no—
450C4×C5—81no—
451C4×C5C2×#12311yescharacteristic
452C4×C5#53911yescharacteristic
453C4×C5#54711yescharacteristic
454C4×C5#55311yescharacteristic
455C24—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8C2×C5×D412yes—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4C2×C5×D412yes—
472C2×D4C5×#4112yes—
473C2×D4C5×#4112yes—
474C22×C4—24no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4C2×C5×D411yescharacteristic
491C22×C4C2×C5×D411yescharacteristic
492C22×C4C2×C5×D411yescharacteristic
493C22×C4C2×C5×D411yescharacteristic
494C22×C4C2×C5×D411yescharacteristic
495C22×C4C2×C5×D411yescharacteristic
496C22×C4C24×C511yescharacteristic
497SD16—28no—
498SD16—44no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8C2×C5×D412yes—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—81no—
530C4⋊C4C5×#4112yes—
531C22⋊C4—24no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—42no—
541C2×C5—44no—
542C2×C5#244311yescharacteristic
543C2×C5#311011yescharacteristic
544C2×C5#312011yescharacteristic
545C2×C5#326511yescharacteristic
546C2×C5#327611yescharacteristic
547C2×C5#336711yescharacteristic
548C2×C5#337211yescharacteristic
549C23—22no—
550C23—22no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23C22×C5×D411yescharacteristic
557Q8—22no—
558Q8—22no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565D4—22no—
566D4—22no—
567D4—22no—
568D4C5×#12314yes—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—48no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—84no—
608C2×C4—84no—
609C2×C4C5×AGL(1,ℤ/8)12yes—
610C2×C4C5×#13712yes—
611C2×C4C22×C5×D411yescharacteristic
612C2×C4C2×C5×#4111yescharacteristic
613C2×C4C2×C5×#4111yescharacteristic
614C2×C4C2×C5×#4111yescharacteristic
615C2×C4C5×H(5,𝔽2)11yescharacteristic
616C2×C4C5×2−1+411yescharacteristic
617C8—22no—
618C8—41no—
619C8—41no—
620C8—41no—
621C5#2618211yescharacteristic, direct product factor, Sylow
622C22—24no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22C5×#52511yescharacteristic
630C22C5×D4211yescharacteristic
631C22C5×#54811yescharacteristic
632C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
633C22C2×C5×#13711yescharacteristic
634C22C5×#57711yescharacteristic
635C22C5×#57811yescharacteristic
636C4—22no—
637C4—22no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—42no—
642C4—41no—
643C4—42no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4C2×C5×#12311yescharacteristic
650C4C5×#53911yescharacteristic
651C4C5×#54711yescharacteristic
652C4C5×#55311yescharacteristic
653C2—44no—
654C2C5×#244311yescharacteristic
655C2C5×#311011yescharacteristic
656C2C5×#312011yescharacteristic
657C2C5×#326511yescharacteristic
658C2C5×#327611yescharacteristic
659C2C5×#336711yescharacteristic
660C2C5×#337211yescharacteristic
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
3. C5×#2446C2semidirect
5. C5×#2095C2semidirect
6. C5×#2086C2semidirect
7. C5×#2072C2semidirect
8. C5×#2043C2semidirect
9. C5×#1935C2semidirect
10. C5×#1917C2semidirect
14. C5×#1863C2semidirect
61. #26182C5direct (N × H)
136. #2446C2×C5semidirect
138. #2095C2×C5semidirect
139. #2086C2×C5semidirect
140. #2072C2×C5semidirect
141. #2043C2×C5semidirect
142. #1935C2×C5semidirect
143. #1917C2×C5semidirect
147. #1863C2×C5semidirect
621. C5#26182direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4612
C2×C5×#4402
C5×#24462
C5×D4×C4⋊C42
C5×#20952
C5×#20862
C5×#20722
C5×#20432
C5×#19352
C5×#19172
C5×#18772
C5×#18632
C5×#18622
#261825