Finite Group Databasebeta

← C5×#29787 #11952507

Subgroups — C5×#29787 #11952507

Order 1280.

796 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#468C211yesmaximal, characteristic
2C2×C5×#424C211yesmaximal, characteristic, complemented
3C5×#2625C211yesmaximal, characteristic, complemented
4C5×#2624C211yesmaximal, characteristic
5C5×#2087C211yesmaximal, characteristic, complemented
6C5×#2086C211yesmaximal, characteristic, complemented
7C5×#2068C211yesmaximal, characteristic, complemented
8C5×#2067C211yesmaximal, characteristic, complemented
9C5×#2066C211yesmaximal, characteristic, complemented
10C5×#2065C211yesmaximal, characteristic, complemented
11C5×#2055C211yesmaximal, characteristic, complemented
12C5×#2055C211yesmaximal, characteristic, complemented
13C5×#1893C211yesmaximal, characteristic
14C5×#1892C211yesmaximal, characteristic, complemented
15C5×#1809C211yesmaximal, characteristic, complemented
16C22×C5×SD16C2211yescharacteristic
17C22×C5×M16C2211yescharacteristic
18C23×C5×C8C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×#121C2211yescharacteristic
21C2×C5×#117C2211yescharacteristic
22C5×#468—24no—
23C2×C5×#107C2211yescharacteristic
24C2×C5×#107C2211yescharacteristic
25C2×C5×#106C2211yescharacteristic
26C5×#424—24no—
27C2×C5×C4⋊C8C2211yescharacteristic
28C2×C5×C4⋊C8C2211yescharacteristic
29C2×C5×C4⋊C8C2211yescharacteristic
30C2×C5×C4⋊C8C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C5×#400—21no—
38C5×#399—21no—
39C5×#398—21no—
40C5×#397—21no—
41C5×#397—21no—
42C5×#397—21no—
43C5×#394—21no—
44C5×#394—21no—
45C5×#391C2211yescharacteristic
46C5×#391C2211yescharacteristic
47C5×#390C2211yescharacteristic
48C5×#390C2211yescharacteristic
49C5×#389C2211yescharacteristic
50C5×#389C2211yescharacteristic
51C5×#389C2211yescharacteristic
52C5×#389C2211yescharacteristic
53C5×#380C2211yescharacteristic
54C5×#380C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#340C2211yescharacteristic
59C5×#340C2211yescharacteristic
60C5×#340C2211yescharacteristic
61#29787C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8C2311yescharacteristic
63C22×C5×D4—21no—
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5C2311yescharacteristic
66C2×C5×SD16—22no—
67C2×C5×SD16—41no—
68C2×C5×SD16—41no—
69C2×C5×M16—41no—
70C2×C5×M16—41no—
71C2×C5×M16D414yes—
72C22×C5×C8—22no—
73C22×C5×C8—41no—
74C22×C5×C8—41no—
75C22×C5×C8C2311yescharacteristic
76C22×C5×C8C2311yescharacteristic
77C22×C5×C8C2311yescharacteristic
78C22×C5×C8C2311yescharacteristic
79C5×C22⋊Q8—22no—
80C5×C22⋊Q8—22no—
81C5×#121—22no—
82C5×#121—22no—
83C5×#117—22no—
84C5×#117—22no—
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⋊C4D411yescharacteristic
91C2×C5×C4⋊C4D411yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C22⋊C4—21no—
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⋊C4D411yescharacteristic
107C2×C5×C22⋊C4D411yescharacteristic
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C5×#107—22no—
111C5×#107—41no—
112C5×#106—41no—
113C5×C4⋊C8—22no—
114C5×C4⋊C8—22no—
115C5×C4⋊C8—22no—
116C5×C4⋊C8—22no—
117C5×#103—22no—
118C5×#103—41no—
119C5×#103—41no—
120C5×#102—22no—
121C5×#102—41no—
122C5×#102—41no—
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×#95—21no—
133C2×#468C2×C511yescharacteristic
134C2×#424C2×C511yescharacteristic, complemented
135#2625C2×C511yescharacteristic, complemented
136#2624C2×C511yescharacteristic
137#2087C2×C511yescharacteristic, complemented
138#2086C2×C511yescharacteristic, complemented
139#2068C2×C511yescharacteristic, complemented
140#2067C2×C511yescharacteristic, complemented
141#2066C2×C511yescharacteristic, complemented
142#2065C2×C511yescharacteristic, complemented
143#2055C2×C511yescharacteristic, complemented
144#2055C2×C511yescharacteristic, complemented
145#1893C2×C511yescharacteristic
146#1892C2×C511yescharacteristic, complemented
147#1809C2×C511yescharacteristic, complemented
148C24×C5—21no—
149C24×C5C2×D411yescharacteristic
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×D4—21no—
157C2×C5×D4—21no—
158C2×C5×D4—21no—
159C2×C5×D4—21no—
160C2×C5×D4—21no—
161C2×C5×D4—21no—
162C2×C5×D4—42no—
163C2×C5×D4—81no—
164C2×C5×D4—81no—
165C22×C4×C5—21no—
166C22×C4×C5—21no—
167C22×C4×C5—21no—
168C22×C4×C5—21no—
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×C5C2×D411yescharacteristic
177C22×C4×C5C2×D411yescharacteristic
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5C2×D411yescharacteristic
180C22×C4×C5C2×D411yescharacteristic
181C22×C4×C5C2×D412yes—
182C22×C4×C5#4112yes—
183C22×C4×C5C2411yescharacteristic
184C5×SD16—44no—
185C5×M16—44no—
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×C8—44no—
197C2×C5×C8C2×D412yes—
198C2×C5×C8C2×D412yes—
199C5×C4⋊C4—22no—
200C5×C4⋊C4—22no—
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—21no—
209C5×C4⋊C4—21no—
210C5×C4⋊C4—21no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—21no—
213C5×C4⋊C4—42no—
214C5×C4⋊C4—81no—
215C5×C4⋊C4—81no—
216C5×C4⋊C4—81no—
217C5×C4⋊C4—81no—
218C5×C22⋊C4—22no—
219C5×C22⋊C4—22no—
220C5×C22⋊C4—42no—
221C5×C22⋊C4—42no—
222C5×C22⋊C4—81no—
223C5×C22⋊C4—81no—
224C5×C22⋊C4—81no—
225C5×C22⋊C4—81no—
226C5×C22⋊C4—81no—
227C5×C22⋊C4—81no—
228C42×C5—21no—
229C42×C5—21no—
230C42×C5—21no—
231C42×C5—21no—
232C22×SD16C22×C511yescharacteristic
233C22×M16C22×C511yescharacteristic
234C23×C8C22×C511yescharacteristic
235C2×C22⋊Q8C22×C511yescharacteristic
236C2×#121C22×C511yescharacteristic
237C2×#117C22×C511yescharacteristic
238#468—24no—
239C2×#107C22×C511yescharacteristic
240C2×#107C22×C511yescharacteristic
241C2×#106C22×C511yescharacteristic
242#424—24no—
243C2×C4⋊C8C22×C511yescharacteristic
244C2×C4⋊C8C22×C511yescharacteristic
245C2×C4⋊C8C22×C511yescharacteristic
246C2×C4⋊C8C22×C511yescharacteristic
247C2×#103C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#102C22×C511yescharacteristic
251C2×#102C22×C511yescharacteristic
252C2×#102C22×C511yescharacteristic
253#400—21no—
254#399—21no—
255#398—21no—
256#397—21no—
257#397—21no—
258#397—21no—
259#394—21no—
260#394—21no—
261#391C22×C511yescharacteristic
262#391C22×C511yescharacteristic
263#390C22×C511yescharacteristic
264#390C22×C511yescharacteristic
265#389C22×C511yescharacteristic
266#389C22×C511yescharacteristic
267#389C22×C511yescharacteristic
268#389C22×C511yescharacteristic
269#380C22×C511yescharacteristic
270#380C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#340C22×C511yescharacteristic
277C23×C5—21no—
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—41no—
284C23×C5—41no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5#12112yes—
291C23×C5C22×D411yescharacteristic
292C5×Q8—41no—
293C5×Q8—41no—
294C5×Q8—41no—
295C5×Q8—41no—
296C5×D4—41no—
297C5×D4—41no—
298C5×D4—41no—
299C5×D4—41no—
300C5×D4—84no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
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—21no—
315C2×C4×C5—21no—
316C2×C4×C5—21no—
317C2×C4×C5—21no—
318C2×C4×C5—21no—
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—41no—
339C2×C4×C5—41no—
340C2×C4×C5#12112yes—
341C2×C4×C5C22×D411yescharacteristic
342C2×C4×C5C2×#4111yescharacteristic
343C2×C4×C5H(5,𝔽2)11yescharacteristic
344C2×C4×C5H(5,𝔽2)11yescharacteristic
345C2×C4×C52−1+411yescharacteristic
346C2×C4×C52−1+411yescharacteristic
347C5×C8—22no—
348C5×C8—22no—
349C5×C8—41no—
350C5×C8—41no—
351C22×Q8C23×C511yescharacteristic
352C22×D4—21no—
353C22×D4C23×C511yescharacteristic
354C23×C4C23×C511yescharacteristic
355C2×SD16—22no—
356C2×SD16—41no—
357C2×SD16—41no—
358C2×M16—41no—
359C2×M16—41no—
360C2×M16C5×D414yes—
361C22×C8—22no—
362C22×C8—41no—
363C22×C8—41no—
364C22×C8C23×C511yescharacteristic
365C22×C8C23×C511yescharacteristic
366C22×C8C23×C511yescharacteristic
367C22×C8C23×C511yescharacteristic
368C22⋊Q8—22no—
369C22⋊Q8—22no—
370#121—22no—
371#121—22no—
372#117—22no—
373#117—22no—
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×C22⋊C4C5×D411yescharacteristic
396C2×C22⋊C4C5×D411yescharacteristic
397C2×C42C23×C511yescharacteristic
398C2×C42C23×C511yescharacteristic
399#107—22no—
400#107—41no—
401#106—41no—
402C4⋊C8—22no—
403C4⋊C8—22no—
404C4⋊C8—22no—
405C4⋊C8—22no—
406#103—22no—
407#103—41no—
408#103—41no—
409#102—22no—
410#102—41no—
411#102—41no—
412#95—21no—
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—
422C22×C5—22no—
423C22×C5—22no—
424C22×C5—22no—
425C22×C5—41no—
426C22×C5—41no—
427C22×C5—41no—
428C22×C5—41no—
429C22×C5—81no—
430C22×C5—81no—
431C22×C5—81no—
432C22×C5—81no—
433C22×C5—81no—
434C22×C5—81no—
435C22×C5—81no—
436C22×C5C2×#12111yescharacteristic
437C22×C5#53711yescharacteristic
438C22×C5#53711yescharacteristic
439C22×C5#57611yescharacteristic
440C22×C5#57711yescharacteristic
441C22×C5#57711yescharacteristic
442C22×C5#57811yescharacteristic
443C4×C5—22no—
444C4×C5—41no—
445C4×C5—41no—
446C4×C5—41no—
447C4×C5—41no—
448C4×C5—81no—
449C4×C5—81no—
450C4×C5—81no—
451C4×C5—81no—
452C4×C5—81no—
453C4×C5—81no—
454C4×C5—81no—
455C4×C5#53411yescharacteristic
456C4×C5#53611yescharacteristic
457C4×C5#53911yescharacteristic
458C4×C5#53911yescharacteristic
459C24—21no—
460C24C2×C5×D411yescharacteristic
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—42no—
474C2×D4—81no—
475C2×D4—81no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4C2×C5×D411yescharacteristic
488C22×C4C2×C5×D411yescharacteristic
489C22×C4C2×C5×D411yescharacteristic
490C22×C4C2×C5×D411yescharacteristic
491C22×C4C2×C5×D411yescharacteristic
492C22×C4C2×C5×D412yes—
493C22×C4C5×#4112yes—
494C22×C4C24×C511yescharacteristic
495SD16—44no—
496M16—44no—
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×C8—21no—
507C2×C8—44no—
508C2×C8C2×C5×D412yes—
509C2×C8C2×C5×D412yes—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—21no—
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—21no—
523C4⋊C4—21no—
524C4⋊C4—42no—
525C4⋊C4—81no—
526C4⋊C4—81no—
527C4⋊C4—81no—
528C4⋊C4—81no—
529C22⋊C4—22no—
530C22⋊C4—22no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—81no—
534C22⋊C4—81no—
535C22⋊C4—81no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C2×C5—42no—
544C2×C5—161no—
545C2×C5#261811yescharacteristic
546C2×C5#306211yescharacteristic
547C2×C5#306311yescharacteristic
548C2×C5#325711yescharacteristic
549C2×C5#325811yescharacteristic
550C2×C5#326011yescharacteristic
551C2×C5#326211yescharacteristic
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23C5×#12112yes—
566C23C22×C5×D411yescharacteristic
567Q8—41no—
568Q8—41no—
569Q8—41no—
570Q8—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—84no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
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—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4C5×#12112yes—
616C2×C4C22×C5×D411yescharacteristic
617C2×C4C2×C5×#4111yescharacteristic
618C2×C4C5×H(5,𝔽2)11yescharacteristic
619C2×C4C5×H(5,𝔽2)11yescharacteristic
620C2×C4C5×2−1+411yescharacteristic
621C2×C4C5×2−1+411yescharacteristic
622C8—22no—
623C8—22no—
624C8—41no—
625C8—41no—
626C5#2978711yescharacteristic, direct product factor, Sylow
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C2×C5×#12111yescharacteristic
642C22C5×#53711yescharacteristic
643C22C5×#53711yescharacteristic
644C22C5×#57611yescharacteristic
645C22C5×#57711yescharacteristic
646C22C5×#57711yescharacteristic
647C22C5×#57811yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C5×#53411yescharacteristic
661C4C5×#53611yescharacteristic
662C4C5×#53911yescharacteristic
663C4C5×#53911yescharacteristic
664C2—42no—
665C2—161no—
666C2C5×#261811yescharacteristic
667C2C5×#306211yescharacteristic
668C2C5×#306311yescharacteristic
669C2C5×#325711yescharacteristic
670C2C5×#325811yescharacteristic
671C2C5×#326011yescharacteristic
672C2C5×#326211yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC2×C5×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C2×C5×#117 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C5×#424C2semidirect
3. C5×#2625C2semidirect
5. C5×#2087C2semidirect
6. C5×#2086C2semidirect
7. C5×#2068C2semidirect
8. C5×#2067C2semidirect
9. C5×#2066C2semidirect
10. C5×#2065C2semidirect
11. C5×#2055C2semidirect
12. C5×#2055C2semidirect
14. C5×#1892C2semidirect
15. C5×#1809C2semidirect
61. #29787C5direct (N × H)
134. C2×#424C2×C5semidirect
135. #2625C2×C5semidirect
137. #2087C2×C5semidirect
138. #2086C2×C5semidirect
139. #2068C2×C5semidirect
140. #2067C2×C5semidirect
141. #2066C2×C5semidirect
142. #2065C2×C5semidirect
143. #2055C2×C5semidirect
144. #2055C2×C5semidirect
146. #1892C2×C5semidirect
147. #1809C2×C5semidirect
626. C5#29787direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4682
C2×C5×#4242
C5×#26252
C5×#26242
C5×#20872
C5×#20862
C5×#20682
C5×#20672
C5×#20662
C5×#20652
C5×#20552
C5×#18932
C5×#18922
C5×#18092
#297875