Finite Group Databasebeta

← C5×#34312 #11957032

Subgroups — C5×#34312 #11957032

Order 1280.

2960 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#548C211yesmaximal, characteristic
2C2×C5×#520C211yesmaximal, characteristic, complemented
3C2×C5×#519C211yesmaximal, characteristic, complemented
4C5×#2367C213yesmaximal, complemented
5C5×#2363C213yesmaximal, complemented
6C5×#2360C213yesmaximal, complemented
7C5×#2352C213yesmaximal, complemented
8C5×#2351C211yesmaximal, characteristic, complemented
9C5×#2341C211yesmaximal, characteristic, complemented
10C5×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
11C5×#2324C213yesmaximal, complemented
12C5×#2323C213yesmaximal, complemented
13C4×C5×#124C213yesmaximal, complemented
14C5×#2293C213yesmaximal, complemented
15C42×C5×Q8C211yesmaximal, characteristic, complemented
16C22×C5×#41C2211yescharacteristic
17C23×C5×Q8C2211yescharacteristic
18C5×#548C4116yescomplemented
19C2×C5×#124C2213yes—
20C2×C5×C22⋊Q8C2213yes—
21C2×C5×#121C2213yes—
22C5×#520—28no—
23C5×#519—28no—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×Q8C2213yes—
26C2×C4×C5×Q8C2211yescharacteristic
27C2×C4×C5×Q8C2213yes—
28C2×C4×C5×Q8C2211yescharacteristic
29C2×C4×C5×Q8C2211yescharacteristic
30C2×C4×C5×Q8C2211yescharacteristic
31C2×C4×C5×D4C2213yes—
32C2×C4×C5×D4C2213yes—
33C2×C4×C5×D4C2213yes—
34C2×C5×#117C2213yes—
35C2×C5×#117C2213yes—
36C2×C5×#117C2213yes—
37C22×C5×C4⋊C4C2213yes—
38C5×#391C2213yes—
39C5×#391C2213yes—
40C5×#390C2213yes—
41C5×#390C2213yes—
42C5×#390C2213yes—
43C5×#390C2213yes—
44C5×#389C2213yes—
45C5×#389C2213yes—
46C5×#389C2213yes—
47C5×#389C2213yes—
48C5×#388C2211yescharacteristic
49C5×#388C2213yes—
50C5×#388C2213yes—
51C5×#388C2213yes—
52C5×#388C2216yes—
53C5×#388C2216yes—
54C5×#387C2216yes—
55C5×#386C2216yes—
56C5×#385C2216yes—
57C5×#382C2213yes—
58C5×#380C2213yes—
59C5×#380C2213yes—
60C4×C5×C4⋊C4C2213yes—
61C4×C5×C4⋊C4C2213yes—
62C4×C5×C4⋊C4C2213yes—
63C4×C5×C4⋊C4C2213yes—
64C4×C5×C22⋊C4C2213yes—
65C4×C5×C22⋊C4C2213yes—
66C4×C5×C22⋊C4C2216yes—
67C4×C5×C22⋊C4C2216yes—
68C43×C5C2213yes—
69#34312C511yesmaximal, characteristic, direct product factor, Sylow
70C2×C5×#41—24no—
71C2×C5×#41—24no—
72C2×C5×#41C2×C418yes—
73C22×C5×Q8—24no—
74C22×C5×Q8—24no—
75C22×C5×Q8C2×C418yescomplemented
76C22×C5×Q8C2313yes—
77C22×C5×Q8C2311yescharacteristic
78C22×C5×D4C2313yes—
79C22×C5×D4C2313yes—
80C23×C4×C5C2313yes—
81C23×C4×C5C2313yes—
82C23×C4×C5C2316yes—
83C5×#124C2×C4124yescomplemented
84C5×C22⋊Q8C2×C4124yescomplemented
85C5×#121C2×C4124yescomplemented
86C4×C5×Q8—24no—
87C4×C5×Q8—24no—
88C4×C5×Q8—24no—
89C4×C5×Q8—212no—
90C4×C5×Q8—212no—
91C4×C5×Q8C2×C418yescomplemented
92C4×C5×Q8D418yescomplemented
93C4×C5×D4—212no—
94C4×C5×D4—212no—
95C4×C5×D4C2×C4124yescomplemented
96C5×#117—212no—
97C5×#117—212no—
98C5×#117—212no—
99C2×C5×C4⋊C4—212no—
100C2×C5×C4⋊C4C2313yes—
101C2×C5×C4⋊C4C2313yes—
102C2×C5×C4⋊C4C2313yes—
103C2×C5×C4⋊C4C2313yes—
104C2×C5×C4⋊C4C2313yes—
105C2×C5×C4⋊C4C2313yes—
106C2×C5×C4⋊C4C2311yescharacteristic
107C2×C5×C4⋊C4C2313yes—
108C2×C5×C4⋊C4C2313yes—
109C2×C5×C4⋊C4C2313yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C4⋊C4C2313yes—
112C2×C5×C22⋊C4C2311yescharacteristic
113C2×C5×C22⋊C4C2313yes—
114C2×C5×C22⋊C4C2313yes—
115C2×C5×C22⋊C4C2313yes—
116C2×C5×C22⋊C4C2313yes—
117C2×C5×C22⋊C4C2311yescharacteristic
118C2×C5×C22⋊C4C2313yes—
119C2×C5×C22⋊C4C2316yes—
120C2×C5×C22⋊C4C2313yes—
121C2×C5×C22⋊C4C2313yes—
122C2×C5×C22⋊C4C2316yes—
123C2×C5×C22⋊C4C2311yescharacteristic
124C2×C42×C5C2311yescharacteristic
125C2×C42×C5C2313yes—
126C2×C42×C5C2316yes—
127C2×C42×C5C2313yes—
128C2×C42×C5C2313yes—
129C2×C42×C5C2313yes—
130C2×C42×C5C2313yes—
131C2×C42×C5C2313yes—
132C2×C42×C5C2313yes—
133C2×C42×C5C2313yes—
134C5×#95C2311yescharacteristic
135C5×#95C2313yes—
136C5×#95C2313yes—
137C5×#95C2313yes—
138C5×#95C2316yes—
139C5×#95C2316yes—
140C5×#95C2313yes—
141C5×#95C2316yes—
142C5×#95C2311yescharacteristic
143C2×#548C2×C511yescharacteristic
144C2×#520C2×C511yescharacteristic, complemented
145C2×#519C2×C511yescharacteristic, complemented
146#2367C2×C513yescomplemented
147#2363C2×C513yescomplemented
148#2360C2×C513yescomplemented
149#2352C2×C513yescomplemented
150#2351C2×C511yescharacteristic, complemented
151#2341C2×C511yescharacteristic, complemented
152Q8×C22⋊C4C2×C511yescharacteristic, complemented
153#2324C2×C513yescomplemented
154#2323C2×C513yescomplemented
155C4×#124C2×C513yescomplemented
156#2293C2×C513yescomplemented
157C42×Q8C2×C511yescharacteristic, complemented
158C24×C5C2411yescharacteristic
159C24×C5C2413yes—
160C5×#41—232no—
161C2×C5×Q8—232no—
162C2×C5×Q8—26no—
163C2×C5×Q8—26no—
164C2×C5×Q8C22×C4112yes—
165C2×C5×Q8C22×C414yes—
166C2×C5×Q8C2×D414yes—
167C2×C5×Q8#4114yes—
168C2×C5×D4—26no—
169C2×C5×D4—26no—
170C2×C5×D4—43no—
171C2×C5×D4—43no—
172C2×C5×D4C22×C4112yes—
173C2×C5×D4C22×C4112yes—
174C22×C4×C5—26no—
175C22×C4×C5—26no—
176C22×C4×C5—26no—
177C22×C4×C5—26no—
178C22×C4×C5—212no—
179C22×C4×C5—46no—
180C22×C4×C5—46no—
181C22×C4×C5C22×C4112yes—
182C22×C4×C5C22×C4112yes—
183C22×C4×C5C2411yescharacteristic
184C22×C4×C5C2411yescharacteristic
185C22×C4×C5C2413yes—
186C22×C4×C5C2413yes—
187C22×C4×C5C2413yes—
188C22×C4×C5C2411yescharacteristic
189C22×C4×C5C2413yes—
190C22×C4×C5C2413yes—
191C22×C4×C5C2411yescharacteristic
192C22×C4×C5C2411yescharacteristic
193C22×C4×C5C2413yes—
194C22×C4×C5C2411yescharacteristic
195C22×C4×C5C2413yes—
196C5×C4⋊C4—26no—
197C5×C4⋊C4—26no—
198C5×C4⋊C4—22no—
199C5×C4⋊C4—26no—
200C5×C4⋊C4—26no—
201C5×C4⋊C4—26no—
202C5×C4⋊C4—26no—
203C5×C4⋊C4—43no—
204C5×C4⋊C4—43no—
205C5×C4⋊C4C22×C4112yes—
206C5×C4⋊C4C22×C4112yes—
207C5×C4⋊C4C2×D4112yes—
208C5×C22⋊C4—26no—
209C5×C22⋊C4—22no—
210C5×C22⋊C4—26no—
211C5×C22⋊C4—26no—
212C5×C22⋊C4—22no—
213C5×C22⋊C4—26no—
214C5×C22⋊C4—43no—
215C5×C22⋊C4—46no—
216C5×C22⋊C4—43no—
217C5×C22⋊C4C22×C414yes—
218C5×C22⋊C4C22×C4112yes—
219C5×C22⋊C4C22×C4124yes—
220C42×C5—26no—
221C42×C5—212no—
222C42×C5—26no—
223C42×C5—26no—
224C42×C5—22no—
225C42×C5—43no—
226C42×C5—43no—
227C42×C5—43no—
228C42×C5C22×C4112yes—
229C42×C5C2×D4112yes—
230C22×#41C22×C511yescharacteristic
231C23×Q8C22×C511yescharacteristic
232#548C4×C5116yescomplemented
233C2×#124C22×C513yes—
234C2×C22⋊Q8C22×C513yes—
235C2×#121C22×C513yes—
236#520—28no—
237#519—28no—
238C2×C4×Q8C22×C513yes—
239C2×C4×Q8C22×C511yescharacteristic
240C2×C4×Q8C22×C511yescharacteristic
241C2×C4×Q8C22×C511yescharacteristic
242C2×C4×Q8C22×C513yes—
243C2×C4×Q8C22×C511yescharacteristic
244C2×C4×Q8C22×C511yescharacteristic
245C2×C4×D4C22×C513yes—
246C2×C4×D4C22×C513yes—
247C2×C4×D4C22×C513yes—
248C2×#117C22×C513yes—
249C2×#117C22×C513yes—
250C2×#117C22×C513yes—
251C22×C4⋊C4C22×C513yes—
252#391C22×C513yes—
253#391C22×C513yes—
254#390C22×C513yes—
255#390C22×C513yes—
256#390C22×C513yes—
257#390C22×C513yes—
258#389C22×C513yes—
259#389C22×C513yes—
260#389C22×C513yes—
261#389C22×C513yes—
262#388C22×C516yes—
263#388C22×C516yes—
264#388C22×C513yes—
265#388C22×C513yes—
266#388C22×C511yescharacteristic
267#388C22×C513yes—
268#387C22×C516yes—
269#386C22×C516yes—
270#385C22×C516yes—
271#382C22×C513yes—
272#380C22×C513yes—
273#380C22×C513yes—
274C4×C4⋊C4C22×C513yes—
275C4×C4⋊C4C22×C513yes—
276C4×C4⋊C4C22×C513yes—
277C4×C4⋊C4C22×C513yes—
278C4×C22⋊C4C22×C513yes—
279C4×C22⋊C4C22×C513yes—
280C4×C22⋊C4C22×C516yes—
281C4×C22⋊C4C22×C516yes—
282C43C22×C513yes—
283C23×C5—21no—
284C23×C5—23no—
285C23×C5—21no—
286C23×C5—23no—
287C23×C5—21no—
288C23×C5—23no—
289C23×C5—21no—
290C23×C5—23no—
291C23×C5—23no—
292C23×C5—23no—
293C23×C5—21no—
294C23×C5—21no—
295C23×C5C23×C416yes—
296C23×C5C23×C412yes—
297C23×C5C2511yescharacteristic
298C5×Q8—224no—
299C5×Q8C4×D4116yes—
300C5×D4—224no—
301C5×D4—412no—
302C2×C4×C5—23no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—23no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—23no—
313C2×C4×C5—23no—
314C2×C4×C5—23no—
315C2×C4×C5—23no—
316C2×C4×C5—224no—
317C2×C4×C5—224no—
318C2×C4×C5—21no—
319C2×C4×C5—23no—
320C2×C4×C5—21no—
321C2×C4×C5—23no—
322C2×C4×C5—23no—
323C2×C4×C5—21no—
324C2×C4×C5—23no—
325C2×C4×C5—23no—
326C2×C4×C5—23no—
327C2×C4×C5—21no—
328C2×C4×C5—23no—
329C2×C4×C5—23no—
330C2×C4×C5—21no—
331C2×C4×C5—21no—
332C2×C4×C5—23no—
333C2×C4×C5—812no—
334C2×C4×C5C23×C412yes—
335C2×C4×C5C23×C416yes—
336C2×C4×C5C23×C416yes—
337C2×C4×C5C23×C412yes—
338C2×C4×C5C23×C416yes—
339C2×C4×C5C22×D416yes—
340C2×C4×C5C22×D412yes—
341C2×C4×C5C22×D416yes—
342C2×C4×C5C2×#4116yes—
343C2×C4×C52−1+412yes—
344C2×#41—24no—
345C2×#41—24no—
346C2×#41C2×C4×C518yes—
347C22×Q8—24no—
348C22×Q8—24no—
349C22×Q8C2×C4×C518yescomplemented
350C22×Q8C23×C513yes—
351C22×Q8C23×C511yescharacteristic
352C22×D4C23×C513yes—
353C22×D4C23×C513yes—
354C23×C4C23×C513yes—
355C23×C4C23×C513yes—
356C23×C4C23×C516yes—
357#124C2×C4×C5124yescomplemented
358C22⋊Q8C2×C4×C5124yescomplemented
359#121C2×C4×C5124yescomplemented
360C4×Q8—24no—
361C4×Q8—24no—
362C4×Q8—24no—
363C4×Q8—212no—
364C4×Q8—212no—
365C4×Q8C2×C4×C518yescomplemented
366C4×Q8C5×D418yescomplemented
367C4×D4—212no—
368C4×D4—212no—
369C4×D4C2×C4×C5124yescomplemented
370#117—212no—
371#117—212no—
372#117—212no—
373C2×C4⋊C4—212no—
374C2×C4⋊C4C23×C513yes—
375C2×C4⋊C4C23×C513yes—
376C2×C4⋊C4C23×C511yescharacteristic
377C2×C4⋊C4C23×C513yes—
378C2×C4⋊C4C23×C513yes—
379C2×C4⋊C4C23×C513yes—
380C2×C4⋊C4C23×C513yes—
381C2×C4⋊C4C23×C513yes—
382C2×C4⋊C4C23×C513yes—
383C2×C4⋊C4C23×C513yes—
384C2×C4⋊C4C23×C513yes—
385C2×C4⋊C4C23×C513yes—
386C2×C22⋊C4C23×C513yes—
387C2×C22⋊C4C23×C511yescharacteristic
388C2×C22⋊C4C23×C513yes—
389C2×C22⋊C4C23×C513yes—
390C2×C22⋊C4C23×C511yescharacteristic
391C2×C22⋊C4C23×C513yes—
392C2×C22⋊C4C23×C513yes—
393C2×C22⋊C4C23×C516yes—
394C2×C22⋊C4C23×C513yes—
395C2×C22⋊C4C23×C511yescharacteristic
396C2×C22⋊C4C23×C513yes—
397C2×C22⋊C4C23×C516yes—
398C2×C42C23×C513yes—
399C2×C42C23×C516yes—
400C2×C42C23×C513yes—
401C2×C42C23×C513yes—
402C2×C42C23×C511yescharacteristic
403C2×C42C23×C513yes—
404C2×C42C23×C513yes—
405C2×C42C23×C513yes—
406C2×C42C23×C513yes—
407C2×C42C23×C513yes—
408#95C23×C511yescharacteristic
409#95C23×C513yes—
410#95C23×C513yes—
411#95C23×C513yes—
412#95C23×C516yes—
413#95C23×C516yes—
414#95C23×C513yes—
415#95C23×C516yes—
416#95C23×C511yescharacteristic
417C22×C5—22no—
418C22×C5—26no—
419C22×C5—22no—
420C22×C5—26no—
421C22×C5—22no—
422C22×C5—26no—
423C22×C5—41no—
424C22×C5—43no—
425C22×C5—43no—
426C22×C5—41no—
427C22×C5—41no—
428C22×C5—43no—
429C22×C5—41no—
430C22×C5—43no—
431C22×C5C24×C411yescharacteristic
432C22×C5C23×D411yescharacteristic
433C22×C5C22×#4111yescharacteristic
434C22×C5C2×2−1+411yescharacteristic
435C22×C5#58511yescharacteristic
436C22×C5#58511yescharacteristic
437C22×C5#58511yescharacteristic
438C4×C5—22no—
439C4×C5—26no—
440C4×C5—26no—
441C4×C5—22no—
442C4×C5—22no—
443C4×C5—26no—
444C4×C5—22no—
445C4×C5—41no—
446C4×C5—43no—
447C4×C5—41no—
448C4×C5—43no—
449C4×C5—43no—
450C4×C5C2×C4×D4112yes—
451C24C24×C511yescharacteristic
452C24C24×C513yes—
453#41—232no—
454C2×Q8—232no—
455C2×Q8—26no—
456C2×Q8—26no—
457C2×Q8C22×C4×C5112yes—
458C2×Q8C22×C4×C514yes—
459C2×Q8C2×C5×D414yes—
460C2×Q8C5×#4114yes—
461C2×D4—26no—
462C2×D4—26no—
463C2×D4—43no—
464C2×D4—43no—
465C2×D4C22×C4×C5112yes—
466C2×D4C22×C4×C5112yes—
467C22×C4—26no—
468C22×C4—26no—
469C22×C4—26no—
470C22×C4—26no—
471C22×C4—212no—
472C22×C4—46no—
473C22×C4—46no—
474C22×C4C22×C4×C5112yes—
475C22×C4C22×C4×C5112yes—
476C22×C4C24×C513yes—
477C22×C4C24×C513yes—
478C22×C4C24×C511yescharacteristic
479C22×C4C24×C513yes—
480C22×C4C24×C511yescharacteristic
481C22×C4C24×C511yescharacteristic
482C22×C4C24×C513yes—
483C22×C4C24×C513yes—
484C22×C4C24×C511yescharacteristic
485C22×C4C24×C513yes—
486C22×C4C24×C511yescharacteristic
487C22×C4C24×C511yescharacteristic
488C22×C4C24×C513yes—
489C4⋊C4—26no—
490C4⋊C4—26no—
491C4⋊C4—22no—
492C4⋊C4—26no—
493C4⋊C4—26no—
494C4⋊C4—26no—
495C4⋊C4—26no—
496C4⋊C4—43no—
497C4⋊C4—43no—
498C4⋊C4C22×C4×C5112yes—
499C4⋊C4C22×C4×C5112yes—
500C4⋊C4C2×C5×D4112yes—
501C22⋊C4—26no—
502C22⋊C4—22no—
503C22⋊C4—26no—
504C22⋊C4—26no—
505C22⋊C4—22no—
506C22⋊C4—26no—
507C22⋊C4—43no—
508C22⋊C4—46no—
509C22⋊C4—43no—
510C22⋊C4C22×C4×C514yes—
511C22⋊C4C22×C4×C5112yes—
512C22⋊C4C22×C4×C5124yes—
513C42—26no—
514C42—212no—
515C42—26no—
516C42—26no—
517C42—22no—
518C42—43no—
519C42—43no—
520C42—43no—
521C42C22×C4×C5112yes—
522C42C2×C5×D4112yes—
523C2×C5—42no—
524C2×C5—46no—
525C2×C5C22×C4×D411yescharacteristic
526C2×C5#342811yescharacteristic
527C2×C5C4×2−1+411yescharacteristic
528C2×C5#349711yescharacteristic
529C2×C5#350011yescharacteristic
530C2×C5#351611yescharacteristic
531C2×C5#352411yescharacteristic
532C23—21no—
533C23—23no—
534C23—21no—
535C23—23no—
536C23—21no—
537C23—23no—
538C23—21no—
539C23—23no—
540C23—23no—
541C23—23no—
542C23—21no—
543C23—21no—
544C23C23×C4×C516yes—
545C23C23×C4×C512yes—
546C23C25×C511yescharacteristic
547Q8—224no—
548Q8C4×C5×D4116yes—
549D4—224no—
550D4—412no—
551C2×C4—23no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—23no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—23no—
562C2×C4—23no—
563C2×C4—23no—
564C2×C4—23no—
565C2×C4—224no—
566C2×C4—224no—
567C2×C4—21no—
568C2×C4—23no—
569C2×C4—21no—
570C2×C4—23no—
571C2×C4—23no—
572C2×C4—21no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—23no—
576C2×C4—21no—
577C2×C4—23no—
578C2×C4—23no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—23no—
582C2×C4—812no—
583C2×C4C23×C4×C512yes—
584C2×C4C23×C4×C516yes—
585C2×C4C23×C4×C516yes—
586C2×C4C23×C4×C512yes—
587C2×C4C23×C4×C516yes—
588C2×C4C22×C5×D416yes—
589C2×C4C22×C5×D412yes—
590C2×C4C22×C5×D416yes—
591C2×C4C2×C5×#4116yes—
592C2×C4C5×2−1+412yes—
593C5#3431211yescharacteristic, direct product factor, Sylow
594C22—22no—
595C22—26no—
596C22—22no—
597C22—26no—
598C22—22no—
599C22—26no—
600C22—41no—
601C22—43no—
602C22—43no—
603C22—41no—
604C22—41no—
605C22—43no—
606C22—41no—
607C22—43no—
608C22C24×C4×C511yescharacteristic
609C22C23×C5×D411yescharacteristic
610C22C22×C5×#4111yescharacteristic
611C22C2×C5×2−1+411yescharacteristic
612C22C5×#58511yescharacteristic
613C22C5×#58511yescharacteristic
614C22C5×#58511yescharacteristic
615C4—22no—
616C4—26no—
617C4—26no—
618C4—22no—
619C4—22no—
620C4—26no—
621C4—22no—
622C4—41no—
623C4—43no—
624C4—43no—
625C4—41no—
626C4—43no—
627C4C2×C4×C5×D4112yes—
628C2—42no—
629C2—46no—
630C2C22×C4×C5×D411yescharacteristic
631C2C5×#342811yescharacteristic
632C2C4×C5×2−1+411yescharacteristic
633C2C5×#349711yescharacteristic
634C2C5×#350011yescharacteristic
635C2C5×#351611yescharacteristic
636C2C5×#352411yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutatorC22C24×C4×C5
Frattini, cosocleC23C25×C5
prime radicalC2×C5×#548C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C5×#520C2semidirect
3. C2×C5×#519C2semidirect
4. C5×#2367C2semidirect
5. C5×#2363C2semidirect
6. C5×#2360C2semidirect
7. C5×#2352C2semidirect
8. C5×#2351C2semidirect
9. C5×#2341C2semidirect
10. C5×Q8×C22⋊C4C2semidirect
11. C5×#2324C2semidirect
12. C5×#2323C2semidirect
13. C4×C5×#124C2semidirect
14. C5×#2293C2semidirect
15. C42×C5×Q8C2semidirect
18. C5×#548C4semidirect
69. #34312C5direct (N × H)
75. C22×C5×Q8C2×C4semidirect
83. C5×#124C2×C4semidirect
84. C5×C22⋊Q8C2×C4semidirect
85. C5×#121C2×C4semidirect
91. C4×C5×Q8C2×C4semidirect
92. C4×C5×Q8D4semidirect
95. C4×C5×D4C2×C4semidirect
144. C2×#520C2×C5semidirect
145. C2×#519C2×C5semidirect
146. #2367C2×C5semidirect
147. #2363C2×C5semidirect
148. #2360C2×C5semidirect
149. #2352C2×C5semidirect
150. #2351C2×C5semidirect
151. #2341C2×C5semidirect
152. Q8×C22⋊C4C2×C5semidirect
153. #2324C2×C5semidirect
154. #2323C2×C5semidirect
155. C4×#124C2×C5semidirect
156. #2293C2×C5semidirect
157. C42×Q8C2×C5semidirect
232. #548C4×C5semidirect
349. C22×Q8C2×C4×C5semidirect
357. #124C2×C4×C5semidirect
358. C22⋊Q8C2×C4×C5semidirect
359. #121C2×C4×C5semidirect
365. C4×Q8C2×C4×C5semidirect
366. C4×Q8C5×D4semidirect
369. C4×D4C2×C4×C5semidirect
593. C5#34312direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5482
C2×C5×#5202
C2×C5×#5192
C5×#23672
C5×#23632
C5×#23602
C5×#23522
C5×#23512
C5×#23412
C5×Q8×C22⋊C42
C5×#23242
C5×#23232
C4×C5×#1242
C5×#22932
C42×C5×Q82
#343125