Finite Group Databasebeta

← C5×#26394 #11949114

Subgroups — C5×#26394 #11949114

Order 1280.

890 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#478C211yesmaximal, characteristic, complemented
2C2×C5×#442C211yesmaximal, characteristic
3C5×#2454C211yesmaximal, characteristic, complemented
4C5×#2349C211yesmaximal, characteristic, complemented
5C5×#2092C211yesmaximal, characteristic, complemented
6C5×#2085C211yesmaximal, characteristic, complemented
7C5×#2067C211yesmaximal, characteristic, complemented
8C5×#2059C211yesmaximal, characteristic, complemented
9C5×#1943C211yesmaximal, characteristic, complemented
10C5×#1917C211yesmaximal, characteristic, complemented
11C5×#1879C211yesmaximal, characteristic
12C5×#1879C211yesmaximal, characteristic
13C5×#1862C211yesmaximal, characteristic, complemented
14C5×#1862C211yesmaximal, characteristic, complemented
15C5×#1862C211yesmaximal, characteristic, complemented
16C22×C5×D8C2211yescharacteristic
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×C4×C5×D4C2211yescharacteristic
22C5×#478—24no—
23C5×#442—24no—
24C2×C5×#107C2211yescharacteristic
25C2×C5×#107C2211yescharacteristic
26C2×C5×#107C2211yescharacteristic
27C2×C5×#106C2211yescharacteristic
28C2×C5×#106C2211yescharacteristic
29C2×C5×C4⋊C8C2211yescharacteristic
30C2×C5×#102C2211yescharacteristic
31C2×C5×#102C2211yescharacteristic
32C2×C5×#102C2211yescharacteristic
33C2×C5×#102C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#97C2211yescharacteristic
37C5×#399—21no—
38C5×#396—21no—
39C5×#390C2211yescharacteristic
40C5×#390C2211yescharacteristic
41C5×#389C2211yescharacteristic
42C5×#389C2211yescharacteristic
43C5×#389C2211yescharacteristic
44C5×#389C2211yescharacteristic
45C5×#385—21no—
46C5×#385—21no—
47C5×#385—21no—
48C5×#382C2211yescharacteristic
49C5×#380—21no—
50C5×#380—21no—
51C4×C5×C4⋊C4C2211yescharacteristic
52C2×C5×#95—21no—
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26394C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×D4C2311yescharacteristic
63C22×C5×D4C2311yescharacteristic
64C23×C4×C5—21no—
65C23×C4×C5—21no—
66C23×C4×C5—21no—
67C23×C4×C5—21no—
68C2×C5×D8—22no—
69C2×C5×D8—22no—
70C2×C5×D8Q814yes—
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C22×C5×C8C2311yescharacteristic
75C5×#125—22no—
76C5×#125—41no—
77C4×C5×D4—22no—
78C4×C5×D4—22no—
79C4×C5×D4—22no—
80C4×C5×D4—22no—
81C4×C5×D4—22no—
82C4×C5×D4—41no—
83C4×C5×D4—41no—
84C4×C5×D4—41no—
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⋊C4D411yescharacteristic
92C2×C5×C4⋊C4D411yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
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—
107C2×C42×C5C2311yescharacteristic
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C5×#107—22no—
111C5×#107—22no—
112C5×#107—41no—
113C5×#106—22no—
114C5×#106—22no—
115C5×C4⋊C8—22no—
116C5×#102—22no—
117C5×#102—22no—
118C5×#102—22no—
119C5×#102—22no—
120C5×#102—41no—
121C5×#102D414yes—
122C5×#97—22no—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95D411yescharacteristic
130C5×#95D411yescharacteristic
131C2×#478C2×C511yescharacteristic, complemented
132C2×#442C2×C511yescharacteristic
133#2454C2×C511yescharacteristic, complemented
134#2349C2×C511yescharacteristic, complemented
135#2092C2×C511yescharacteristic, complemented
136#2085C2×C511yescharacteristic, complemented
137#2067C2×C511yescharacteristic, complemented
138#2059C2×C511yescharacteristic, complemented
139#1943C2×C511yescharacteristic, complemented
140#1917C2×C511yescharacteristic, complemented
141#1879C2×C511yescharacteristic
142#1879C2×C511yescharacteristic
143#1862C2×C511yescharacteristic, complemented
144#1862C2×C511yescharacteristic, complemented
145#1862C2×C511yescharacteristic, complemented
146C24×C5—21no—
147C24×C5—21no—
148C2×C5×D4—21no—
149C2×C5×D4—21no—
150C2×C5×D4—21no—
151C2×C5×D4—21no—
152C2×C5×D4—21no—
153C2×C5×D4—21no—
154C2×C5×D4—21no—
155C2×C5×D4—21no—
156C2×C5×D4C2×D412yes—
157C2×C5×D4C2×Q812yes—
158C2×C5×D4C2×Q812yes—
159C2×C5×D4#4112yes—
160C22×C4×C5—21no—
161C22×C4×C5—21no—
162C22×C4×C5—24no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—21no—
166C22×C4×C5—21no—
167C22×C4×C5—42no—
168C22×C4×C5—42no—
169C22×C4×C5—42no—
170C22×C4×C5—42no—
171C22×C4×C5—42no—
172C22×C4×C5—42no—
173C22×C4×C5—81no—
174C22×C4×C5—81no—
175C22×C4×C5—81no—
176C22×C4×C5—81no—
177C22×C4×C5—81no—
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5C2×D411yescharacteristic
180C22×C4×C5C2×D411yescharacteristic
181C22×C4×C5C2×D411yescharacteristic
182C22×C4×C5C2×D411yescharacteristic
183C22×C4×C5C2×D411yescharacteristic
184C22×C4×C5C2411yescharacteristic
185C5×D8—28no—
186C2×C5×C8—21no—
187C2×C5×C8—21no—
188C2×C5×C8—21no—
189C2×C5×C8—21no—
190C2×C5×C8—21no—
191C2×C5×C8—21no—
192C2×C5×C8—21no—
193C2×C5×C8—21no—
194C2×C5×C8—21no—
195C2×C5×C8—21no—
196C2×C5×C8C2×D412yes—
197C2×C5×C8C2×Q812yes—
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—21no—
207C5×C4⋊C4—21no—
208C5×C4⋊C4—41no—
209C5×C4⋊C4—41no—
210C5×C4⋊C4—42no—
211C5×C4⋊C4—42no—
212C5×C4⋊C4—81no—
213C5×C4⋊C4—81no—
214C5×C4⋊C4—81no—
215C5×C4⋊C4—81no—
216C5×C4⋊C4C2×D412yes—
217C5×C4⋊C4#4112yes—
218C5×C22⋊C4—24no—
219C5×C22⋊C4—42no—
220C5×C22⋊C4—42no—
221C5×C22⋊C4—42no—
222C5×C22⋊C4—42no—
223C5×C22⋊C4—81no—
224C5×C22⋊C4—81no—
225C5×C22⋊C4—81no—
226C42×C5—21no—
227C42×C5—21no—
228C42×C5—21no—
229C42×C5—21no—
230C42×C5—21no—
231C42×C5—21no—
232C22×D8C22×C511yescharacteristic
233C2×#125C22×C511yescharacteristic
234C2×C4×D4C22×C511yescharacteristic
235C2×C4×D4C22×C511yescharacteristic
236C2×C4×D4C22×C511yescharacteristic
237C2×C4×D4C22×C511yescharacteristic
238#478—24no—
239#442—24no—
240C2×#107C22×C511yescharacteristic
241C2×#107C22×C511yescharacteristic
242C2×#107C22×C511yescharacteristic
243C2×#106C22×C511yescharacteristic
244C2×#106C22×C511yescharacteristic
245C2×C4⋊C8C22×C511yescharacteristic
246C2×#102C22×C511yescharacteristic
247C2×#102C22×C511yescharacteristic
248C2×#102C22×C511yescharacteristic
249C2×#102C22×C511yescharacteristic
250C2×#102C22×C511yescharacteristic
251C2×#102C22×C511yescharacteristic
252C2×#97C22×C511yescharacteristic
253#399—21no—
254#396—21no—
255#390C22×C511yescharacteristic
256#390C22×C511yescharacteristic
257#389C22×C511yescharacteristic
258#389C22×C511yescharacteristic
259#389C22×C511yescharacteristic
260#389C22×C511yescharacteristic
261#385—21no—
262#385—21no—
263#385—21no—
264#382C22×C511yescharacteristic
265#380—21no—
266#380—21no—
267C4×C4⋊C4C22×C511yescharacteristic
268C2×#95—21no—
269#340C22×C511yescharacteristic
270#340C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#336C22×C511yescharacteristic
274#336C22×C511yescharacteristic
275#336C22×C511yescharacteristic
276#336C22×C511yescharacteristic
277C23×C5—22no—
278C23×C5—22no—
279C23×C5—22no—
280C23×C5—22no—
281C23×C5—41no—
282C23×C5—41no—
283C23×C5—41no—
284C23×C5—41no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5—41no—
291C23×C5C22×D411yescharacteristic
292C5×D4—22no—
293C5×D4—22no—
294C5×D4—22no—
295C5×D4—22no—
296C5×D4—22no—
297C5×D4—41no—
298C5×D4—41no—
299C5×D4C22⋊Q814yes—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
302C2×C4×C5—22no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—22no—
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—21no—
315C2×C4×C5—21no—
316C2×C4×C5—21no—
317C2×C4×C5—21no—
318C2×C4×C5—21no—
319C2×C4×C5—21no—
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—84no—
337C2×C4×C5—84no—
338C2×C4×C5—84no—
339C2×C4×C5—84no—
340C2×C4×C5C22×D411yescharacteristic
341C2×C4×C5C22×Q811yescharacteristic
342C2×C4×C5C2×#4111yescharacteristic
343C2×C4×C5C2×#4111yescharacteristic
344C2×C4×C5H(5,𝔽2)11yescharacteristic
345C2×C4×C52−1+411yescharacteristic
346C5×C8—22no—
347C5×C8—22no—
348C5×C8—41no—
349C5×C8—41no—
350C22×D4C23×C511yescharacteristic
351C22×D4C23×C511yescharacteristic
352C23×C4—21no—
353C23×C4—21no—
354C23×C4—21no—
355C23×C4—21no—
356C2×D8—22no—
357C2×D8—22no—
358C2×D8C5×Q814yes—
359C22×C8C23×C511yescharacteristic
360C22×C8C23×C511yescharacteristic
361C22×C8C23×C511yescharacteristic
362C22×C8C23×C511yescharacteristic
363#125—22no—
364#125—41no—
365C4×D4—22no—
366C4×D4—22no—
367C4×D4—22no—
368C4×D4—22no—
369C4×D4—22no—
370C4×D4—41no—
371C4×D4—41no—
372C4×D4—41no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4C5×D411yescharacteristic
380C2×C4⋊C4C5×D411yescharacteristic
381C2×C4⋊C4C23×C511yescharacteristic
382C2×C4⋊C4C23×C511yescharacteristic
383C2×C4⋊C4C23×C511yescharacteristic
384C2×C4⋊C4C23×C511yescharacteristic
385C2×C4⋊C4C23×C511yescharacteristic
386C2×C4⋊C4C23×C511yescharacteristic
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C42C23×C511yescharacteristic
396C2×C42C23×C511yescharacteristic
397C2×C42C23×C511yescharacteristic
398#107—22no—
399#107—22no—
400#107—41no—
401#106—22no—
402#106—22no—
403C4⋊C8—22no—
404#102—22no—
405#102—22no—
406#102—22no—
407#102—22no—
408#102—41no—
409#102C5×D414yes—
410#97—22no—
411#95—21no—
412#95—21no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95C5×D411yescharacteristic
418#95C5×D411yescharacteristic
419C22×C5—24no—
420C22×C5—42no—
421C22×C5—42no—
422C22×C5—42no—
423C22×C5—42no—
424C22×C5—42no—
425C22×C5—42no—
426C22×C5—42no—
427C22×C5—42no—
428C22×C5—42no—
429C22×C5—81no—
430C22×C5—81no—
431C22×C5—81no—
432C22×C5—81no—
433C22×C5#52511yescharacteristic
434C22×C5D4211yescharacteristic
435C22×C5D4×Q811yescharacteristic
436C22×C5#57511yescharacteristic
437C22×C5#57511yescharacteristic
438C22×C5#57611yescharacteristic
439C22×C5#57611yescharacteristic
440C4×C5—41no—
441C4×C5—41no—
442C4×C5—42no—
443C4×C5—41no—
444C4×C5—41no—
445C4×C5—41no—
446C4×C5—41no—
447C4×C5—42no—
448C4×C5—81no—
449C4×C5—81no—
450C4×C5—81no—
451C4×C5—81no—
452C4×C5C2×C22⋊Q811yescharacteristic
453C4×C5#53911yescharacteristic
454C4×C5#54711yescharacteristic
455C4×C5#55411yescharacteristic
456C24—21no—
457C24—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4C2×C5×D412yes—
467C2×D4C2×C5×Q812yes—
468C2×D4C2×C5×Q812yes—
469C2×D4C5×#4112yes—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—24no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4—81no—
488C22×C4C2×C5×D411yescharacteristic
489C22×C4C2×C5×D411yescharacteristic
490C22×C4C2×C5×D411yescharacteristic
491C22×C4C2×C5×D411yescharacteristic
492C22×C4C2×C5×D411yescharacteristic
493C22×C4C2×C5×D411yescharacteristic
494C22×C4C24×C511yescharacteristic
495D8—28no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8C2×C5×D412yes—
507C2×C8C2×C5×Q812yes—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—41no—
519C4⋊C4—41no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—81no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4C2×C5×D412yes—
527C4⋊C4C5×#4112yes—
528C22⋊C4—24no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—81no—
534C22⋊C4—81no—
535C22⋊C4—81no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C2×C5—44no—
543C2×C5—82no—
544C2×C5#244911yescharacteristic
545C2×C5#311111yescharacteristic
546C2×C5#312211yescharacteristic
547C2×C5#326811yescharacteristic
548C2×C5#327311yescharacteristic
549C2×C5#338911yescharacteristic
550C2×C5#338911yescharacteristic
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23C22×C5×D411yescharacteristic
566D4—22no—
567D4—22no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4—41no—
572D4—41no—
573D4C5×C22⋊Q814yes—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
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—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4—84no—
613C2×C4—84no—
614C2×C4C22×C5×D411yescharacteristic
615C2×C4C22×C5×Q811yescharacteristic
616C2×C4C2×C5×#4111yescharacteristic
617C2×C4C2×C5×#4111yescharacteristic
618C2×C4C5×H(5,𝔽2)11yescharacteristic
619C2×C4C5×2−1+411yescharacteristic
620C8—22no—
621C8—22no—
622C8—41no—
623C8—41no—
624C5#2639411yescharacteristic, direct product factor, Sylow
625C22—24no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C5×#52511yescharacteristic
640C22C5×D4211yescharacteristic
641C22C5×D4×Q811yescharacteristic
642C22C5×#57511yescharacteristic
643C22C5×#57511yescharacteristic
644C22C5×#57611yescharacteristic
645C22C5×#57611yescharacteristic
646C4—41no—
647C4—41no—
648C4—41no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C2×C5×C22⋊Q811yescharacteristic
659C4C5×#53911yescharacteristic
660C4C5×#54711yescharacteristic
661C4C5×#55411yescharacteristic
662C2—44no—
663C2—82no—
664C2C5×#244911yescharacteristic
665C2C5×#311111yescharacteristic
666C2C5×#312211yescharacteristic
667C2C5×#326811yescharacteristic
668C2C5×#327311yescharacteristic
669C2C5×#338911yescharacteristic
670C2C5×#338911yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D8C22
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×#478C2semidirect
3. C5×#2454C2semidirect
4. C5×#2349C2semidirect
5. C5×#2092C2semidirect
6. C5×#2085C2semidirect
7. C5×#2067C2semidirect
8. C5×#2059C2semidirect
9. C5×#1943C2semidirect
10. C5×#1917C2semidirect
13. C5×#1862C2semidirect
14. C5×#1862C2semidirect
15. C5×#1862C2semidirect
61. #26394C5direct (N × H)
131. C2×#478C2×C5semidirect
133. #2454C2×C5semidirect
134. #2349C2×C5semidirect
135. #2092C2×C5semidirect
136. #2085C2×C5semidirect
137. #2067C2×C5semidirect
138. #2059C2×C5semidirect
139. #1943C2×C5semidirect
140. #1917C2×C5semidirect
143. #1862C2×C5semidirect
144. #1862C2×C5semidirect
145. #1862C2×C5semidirect
624. C5#26394direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4782
C2×C5×#4422
C5×#24542
C5×#23492
C5×#20922
C5×#20852
C5×#20672
C5×#20592
C5×#19432
C5×#19172
C5×#18792
C5×#18622
#263945