Finite Group Databasebeta

← C5×#34293 #11957013

Subgroups — C5×#34293 #11957013

Order 1280.

2984 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#548C211yesmaximal, characteristic
2C2×C5×#519C211yesmaximal, characteristic, complemented
3C2×C4×C5×#41C211yesmaximal, characteristic, complemented
4C5×#2367C213yesmaximal, complemented
5C5×#2363C213yesmaximal, complemented
6C5×#2362C213yesmaximal, complemented
7C5×#2354C213yesmaximal, complemented
8C5×Q8×C4⋊C4C211yesmaximal, characteristic, complemented
9C5×#2341C211yesmaximal, characteristic, complemented
10C5×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
11C5×#2326C213yesmaximal, complemented
12C5×#2324C213yesmaximal, complemented
13C4×C5×C22⋊Q8C213yesmaximal, complemented
14C5×#2290C213yesmaximal, complemented
15C5×#2276C211yesmaximal, characteristic, complemented
16C22×C5×#41C2211yescharacteristic
17C23×C5×Q8C2211yescharacteristic
18C5×#548C4116yescomplemented
19C2×C5×#124C2213yes—
20C2×C5×C22⋊Q8C2213yes—
21C2×C5×#121C2213yes—
22C5×#519—28no—
23C4×C5×#41—28no—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×Q8C2211yescharacteristic
26C2×C4×C5×Q8C2213yes—
27C2×C4×C5×Q8C2211yescharacteristic
28C2×C4×C5×Q8C2213yes—
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×C42×C5C2213yes—
38C5×#391C2213yes—
39C5×#391C2213yes—
40C5×#390C2213yes—
41C5×#390C2216yes—
42C5×#390C2213yes—
43C5×#389C2213yes—
44C5×#389C2213yes—
45C5×#388C2211yescharacteristic
46C5×#388C2213yes—
47C5×#388C2216yes—
48C5×#388C2216yes—
49C5×#388C2216yes—
50C5×#387C2213yes—
51C5×#387C2213yes—
52C5×#386C2213yes—
53C5×#386C2213yes—
54C5×#385C2213yes—
55C5×#385C2213yes—
56C5×#385C2216yes—
57C5×#384C2213yes—
58C5×#380C2213yes—
59C5×#380C2213yes—
60C4×C5×C4⋊C4C2213yes—
61C4×C5×C4⋊C4C2213yes—
62C4×C5×C4⋊C4C2213yes—
63C4×C5×C4⋊C4C2213yes—
64C4×C5×C4⋊C4C2216yes—
65C4×C5×C22⋊C4C2213yes—
66C4×C5×C22⋊C4C2213yes—
67C4×C5×C22⋊C4C2216yes—
68C5×#376C2213yes—
69#34293C511yesmaximal, 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×C5C2313yes—
83C23×C4×C5C2313yes—
84C5×#124C2×C4124yescomplemented
85C5×C22⋊Q8C2×C4124yescomplemented
86C5×#121C2×C4124yescomplemented
87C4×C5×Q8—24no—
88C4×C5×Q8—24no—
89C4×C5×Q8—24no—
90C4×C5×Q8—212no—
91C4×C5×Q8—212no—
92C4×C5×Q8C2×C418yescomplemented
93C4×C5×Q8D418yescomplemented
94C4×C5×D4—212no—
95C4×C5×D4—212no—
96C4×C5×D4C2×C4124yescomplemented
97C5×#117—212no—
98C5×#117—212no—
99C5×#117—212no—
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2313yes—
102C2×C5×C4⋊C4C2313yes—
103C2×C5×C4⋊C4C2313yes—
104C2×C5×C4⋊C4C2313yes—
105C2×C5×C4⋊C4C2313yes—
106C2×C5×C4⋊C4C2313yes—
107C2×C5×C4⋊C4C2316yes—
108C2×C5×C4⋊C4C2313yes—
109C2×C5×C4⋊C4C2313yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C22⋊C4C2311yescharacteristic
112C2×C5×C22⋊C4C2311yescharacteristic
113C2×C5×C22⋊C4C2313yes—
114C2×C5×C22⋊C4C2316yes—
115C2×C5×C22⋊C4C2313yes—
116C2×C5×C22⋊C4C2316yes—
117C2×C5×C22⋊C4C2313yes—
118C2×C5×C22⋊C4C2313yes—
119C2×C5×C22⋊C4C2316yes—
120C2×C5×C22⋊C4C2313yes—
121C2×C5×C22⋊C4C2311yescharacteristic
122C2×C42×C5—212no—
123C2×C42×C5C2313yes—
124C2×C42×C5C2316yes—
125C2×C42×C5C2313yes—
126C2×C42×C5C2313yes—
127C2×C42×C5C2313yes—
128C2×C42×C5C2311yescharacteristic
129C2×C42×C5C2316yes—
130C2×C42×C5C2313yes—
131C2×C42×C5C2313yes—
132C5×#95C2311yescharacteristic
133C5×#95C2313yes—
134C5×#95C2313yes—
135C5×#95C2313yes—
136C5×#95C2313yes—
137C5×#95C2311yescharacteristic
138C5×#95C2313yes—
139C5×#95C2313yes—
140C5×#95C2313yes—
141C5×#95C2316yes—
142C5×#95C2313yes—
143C2×#548C2×C511yescharacteristic
144C2×#519C2×C511yescharacteristic, complemented
145C2×C4×#41C2×C511yescharacteristic, complemented
146#2367C2×C513yescomplemented
147#2363C2×C513yescomplemented
148#2362C2×C513yescomplemented
149#2354C2×C513yescomplemented
150Q8×C4⋊C4C2×C511yescharacteristic, complemented
151#2341C2×C511yescharacteristic, complemented
152Q8×C22⋊C4C2×C511yescharacteristic, complemented
153#2326C2×C513yescomplemented
154#2324C2×C513yescomplemented
155C4×C22⋊Q8C2×C513yescomplemented
156#2290C2×C513yescomplemented
157#2276C2×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—26no—
179C22×C4×C5—26no—
180C22×C4×C5—26no—
181C22×C4×C5—43no—
182C22×C4×C5—43no—
183C22×C4×C5—43no—
184C22×C4×C5C22×C4112yes—
185C22×C4×C5C22×C4112yes—
186C22×C4×C5C2413yes—
187C22×C4×C5C2411yescharacteristic
188C22×C4×C5C2413yes—
189C22×C4×C5C2411yescharacteristic
190C22×C4×C5C2413yes—
191C22×C4×C5C2411yescharacteristic
192C22×C4×C5C2411yescharacteristic
193C22×C4×C5C2413yes—
194C22×C4×C5C2413yes—
195C22×C4×C5C2413yes—
196C22×C4×C5C2411yescharacteristic
197C22×C4×C5C2411yescharacteristic
198C22×C4×C5C2413yes—
199C5×C4⋊C4—26no—
200C5×C4⋊C4—26no—
201C5×C4⋊C4—26no—
202C5×C4⋊C4—26no—
203C5×C4⋊C4—26no—
204C5×C4⋊C4—22no—
205C5×C4⋊C4—43no—
206C5×C4⋊C4—46no—
207C5×C4⋊C4C22×C4112yes—
208C5×C4⋊C4C22×C4112yes—
209C5×C4⋊C4C2×D4112yes—
210C5×C22⋊C4—26no—
211C5×C22⋊C4—22no—
212C5×C22⋊C4—212no—
213C5×C22⋊C4—22no—
214C5×C22⋊C4—43no—
215C5×C22⋊C4—46no—
216C5×C22⋊C4—43no—
217C5×C22⋊C4—43no—
218C5×C22⋊C4C22×C414yes—
219C5×C22⋊C4C22×C4112yes—
220C5×C22⋊C4C22×C4124yes—
221C42×C5—22no—
222C42×C5—26no—
223C42×C5—26no—
224C42×C5—212no—
225C42×C5—26no—
226C42×C5—26no—
227C42×C5—46no—
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#519—28no—
237C4×#41—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×C42C22×C513yes—
252#391C22×C513yes—
253#391C22×C513yes—
254#390C22×C513yes—
255#390C22×C516yes—
256#390C22×C513yes—
257#389C22×C513yes—
258#389C22×C513yes—
259#388C22×C516yes—
260#388C22×C516yes—
261#388C22×C516yes—
262#388C22×C513yes—
263#388C22×C511yescharacteristic
264#387C22×C513yes—
265#387C22×C513yes—
266#386C22×C513yes—
267#386C22×C513yes—
268#385C22×C516yes—
269#385C22×C513yes—
270#385C22×C513yes—
271#384C22×C513yes—
272#380C22×C513yes—
273#380C22×C513yes—
274C4×C4⋊C4C22×C513yes—
275C4×C4⋊C4C22×C513yes—
276C4×C4⋊C4C22×C516yes—
277C4×C4⋊C4C22×C513yes—
278C4×C4⋊C4C22×C513yes—
279C4×C22⋊C4C22×C513yes—
280C4×C22⋊C4C22×C513yes—
281C4×C22⋊C4C22×C516yes—
282#376C22×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—21no—
303C2×C4×C5—21no—
304C2×C4×C5—23no—
305C2×C4×C5—21no—
306C2×C4×C5—23no—
307C2×C4×C5—21no—
308C2×C4×C5—23no—
309C2×C4×C5—23no—
310C2×C4×C5—23no—
311C2×C4×C5—21no—
312C2×C4×C5—23no—
313C2×C4×C5—21no—
314C2×C4×C5—21no—
315C2×C4×C5—21no—
316C2×C4×C5—224no—
317C2×C4×C5—224no—
318C2×C4×C5—23no—
319C2×C4×C5—21no—
320C2×C4×C5—23no—
321C2×C4×C5—21no—
322C2×C4×C5—23no—
323C2×C4×C5—21no—
324C2×C4×C5—21no—
325C2×C4×C5—23no—
326C2×C4×C5—21no—
327C2×C4×C5—21no—
328C2×C4×C5—23no—
329C2×C4×C5—23no—
330C2×C4×C5—23no—
331C2×C4×C5—23no—
332C2×C4×C5—23no—
333C2×C4×C5—412no—
334C2×C4×C5—412no—
335C2×C4×C5C23×C412yes—
336C2×C4×C5C23×C416yes—
337C2×C4×C5C23×C416yes—
338C2×C4×C5C23×C412yes—
339C2×C4×C5C23×C416yes—
340C2×C4×C5C22×D416yes—
341C2×C4×C5C22×D412yes—
342C2×C4×C5C22×D416yes—
343C2×C4×C5C2×#4116yes—
344C2×C4×C52−1+412yes—
345C2×#41—24no—
346C2×#41—24no—
347C2×#41C2×C4×C518yes—
348C22×Q8—24no—
349C22×Q8—24no—
350C22×Q8C2×C4×C518yescomplemented
351C22×Q8C23×C513yes—
352C22×Q8C23×C511yescharacteristic
353C22×D4C23×C513yes—
354C22×D4C23×C513yes—
355C23×C4C23×C513yes—
356C23×C4C23×C513yes—
357C23×C4C23×C513yes—
358C23×C4C23×C513yes—
359#124C2×C4×C5124yescomplemented
360C22⋊Q8C2×C4×C5124yescomplemented
361#121C2×C4×C5124yescomplemented
362C4×Q8—24no—
363C4×Q8—24no—
364C4×Q8—24no—
365C4×Q8—212no—
366C4×Q8—212no—
367C4×Q8C2×C4×C518yescomplemented
368C4×Q8C5×D418yescomplemented
369C4×D4—212no—
370C4×D4—212no—
371C4×D4C2×C4×C5124yescomplemented
372#117—212no—
373#117—212no—
374#117—212no—
375C2×C4⋊C4C23×C513yes—
376C2×C4⋊C4C23×C513yes—
377C2×C4⋊C4C23×C513yes—
378C2×C4⋊C4C23×C513yes—
379C2×C4⋊C4C23×C513yes—
380C2×C4⋊C4C23×C511yescharacteristic
381C2×C4⋊C4C23×C513yes—
382C2×C4⋊C4C23×C516yes—
383C2×C4⋊C4C23×C513yes—
384C2×C4⋊C4C23×C513yes—
385C2×C4⋊C4C23×C513yes—
386C2×C22⋊C4C23×C511yescharacteristic
387C2×C22⋊C4C23×C513yes—
388C2×C22⋊C4C23×C516yes—
389C2×C22⋊C4C23×C511yescharacteristic
390C2×C22⋊C4C23×C513yes—
391C2×C22⋊C4C23×C516yes—
392C2×C22⋊C4C23×C513yes—
393C2×C22⋊C4C23×C513yes—
394C2×C22⋊C4C23×C511yescharacteristic
395C2×C22⋊C4C23×C513yes—
396C2×C22⋊C4C23×C516yes—
397C2×C42—212no—
398C2×C42C23×C513yes—
399C2×C42C23×C516yes—
400C2×C42C23×C513yes—
401C2×C42C23×C513yes—
402C2×C42C23×C513yes—
403C2×C42C23×C511yescharacteristic
404C2×C42C23×C516yes—
405C2×C42C23×C513yes—
406C2×C42C23×C513yes—
407#95C23×C511yescharacteristic
408#95C23×C513yes—
409#95C23×C513yes—
410#95C23×C513yes—
411#95C23×C513yes—
412#95C23×C511yescharacteristic
413#95C23×C513yes—
414#95C23×C513yes—
415#95C23×C513yes—
416#95C23×C516yes—
417#95C23×C513yes—
418C22×C5—22no—
419C22×C5—26no—
420C22×C5—22no—
421C22×C5—26no—
422C22×C5—22no—
423C22×C5—26no—
424C22×C5—43no—
425C22×C5—41no—
426C22×C5—43no—
427C22×C5—41no—
428C22×C5—41no—
429C22×C5—43no—
430C22×C5—41no—
431C22×C5—43no—
432C22×C5C24×C411yescharacteristic
433C22×C5C23×D411yescharacteristic
434C22×C5C22×#4111yescharacteristic
435C22×C5C2×2−1+411yescharacteristic
436C22×C5#58511yescharacteristic
437C22×C5#58511yescharacteristic
438C22×C5#58511yescharacteristic
439C4×C5—22no—
440C4×C5—26no—
441C4×C5—26no—
442C4×C5—22no—
443C4×C5—22no—
444C4×C5—22no—
445C4×C5—26no—
446C4×C5—43no—
447C4×C5—43no—
448C4×C5—41no—
449C4×C5—41no—
450C4×C5—43no—
451C4×C5C2×C4×D4112yes—
452C24C24×C511yescharacteristic
453C24C24×C513yes—
454#41—232no—
455C2×Q8—232no—
456C2×Q8—26no—
457C2×Q8—26no—
458C2×Q8C22×C4×C5112yes—
459C2×Q8C22×C4×C514yes—
460C2×Q8C2×C5×D414yes—
461C2×Q8C5×#4114yes—
462C2×D4—26no—
463C2×D4—26no—
464C2×D4—43no—
465C2×D4—43no—
466C2×D4C22×C4×C5112yes—
467C2×D4C22×C4×C5112yes—
468C22×C4—26no—
469C22×C4—26no—
470C22×C4—26no—
471C22×C4—26no—
472C22×C4—26no—
473C22×C4—26no—
474C22×C4—26no—
475C22×C4—43no—
476C22×C4—43no—
477C22×C4—43no—
478C22×C4C22×C4×C5112yes—
479C22×C4C22×C4×C5112yes—
480C22×C4C24×C511yescharacteristic
481C22×C4C24×C513yes—
482C22×C4C24×C511yescharacteristic
483C22×C4C24×C513yes—
484C22×C4C24×C513yes—
485C22×C4C24×C511yescharacteristic
486C22×C4C24×C511yescharacteristic
487C22×C4C24×C513yes—
488C22×C4C24×C513yes—
489C22×C4C24×C511yescharacteristic
490C22×C4C24×C513yes—
491C22×C4C24×C511yescharacteristic
492C22×C4C24×C513yes—
493C4⋊C4—26no—
494C4⋊C4—26no—
495C4⋊C4—26no—
496C4⋊C4—26no—
497C4⋊C4—26no—
498C4⋊C4—22no—
499C4⋊C4—43no—
500C4⋊C4—46no—
501C4⋊C4C22×C4×C5112yes—
502C4⋊C4C22×C4×C5112yes—
503C4⋊C4C2×C5×D4112yes—
504C22⋊C4—26no—
505C22⋊C4—22no—
506C22⋊C4—212no—
507C22⋊C4—22no—
508C22⋊C4—43no—
509C22⋊C4—46no—
510C22⋊C4—43no—
511C22⋊C4—43no—
512C22⋊C4C22×C4×C514yes—
513C22⋊C4C22×C4×C5112yes—
514C22⋊C4C22×C4×C5124yes—
515C42—22no—
516C42—26no—
517C42—26no—
518C42—212no—
519C42—26no—
520C42—26no—
521C42—46no—
522C42C22×C4×C5112yes—
523C42C2×C5×D4112yes—
524C2×C5—42no—
525C2×C5—46no—
526C2×C5C22×C4×D411yescharacteristic
527C2×C5#342811yescharacteristic
528C2×C5C4×2−1+411yescharacteristic
529C2×C5#348711yescharacteristic
530C2×C5#348911yescharacteristic
531C2×C5#351811yescharacteristic
532C2×C5#352411yescharacteristic
533C23—21no—
534C23—23no—
535C23—21no—
536C23—23no—
537C23—21no—
538C23—23no—
539C23—21no—
540C23—23no—
541C23—23no—
542C23—23no—
543C23—21no—
544C23—21no—
545C23C23×C4×C516yes—
546C23C23×C4×C512yes—
547C23C25×C511yescharacteristic
548Q8—224no—
549Q8C4×C5×D4116yes—
550D4—224no—
551D4—412no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—23no—
555C2×C4—21no—
556C2×C4—23no—
557C2×C4—21no—
558C2×C4—23no—
559C2×C4—23no—
560C2×C4—23no—
561C2×C4—21no—
562C2×C4—23no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—224no—
567C2×C4—224no—
568C2×C4—23no—
569C2×C4—21no—
570C2×C4—23no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—23no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—23no—
583C2×C4—412no—
584C2×C4—412no—
585C2×C4C23×C4×C512yes—
586C2×C4C23×C4×C516yes—
587C2×C4C23×C4×C516yes—
588C2×C4C23×C4×C512yes—
589C2×C4C23×C4×C516yes—
590C2×C4C22×C5×D416yes—
591C2×C4C22×C5×D412yes—
592C2×C4C22×C5×D416yes—
593C2×C4C2×C5×#4116yes—
594C2×C4C5×2−1+412yes—
595C5#3429311yescharacteristic, direct product factor, Sylow
596C22—22no—
597C22—26no—
598C22—22no—
599C22—26no—
600C22—22no—
601C22—26no—
602C22—43no—
603C22—41no—
604C22—43no—
605C22—41no—
606C22—41no—
607C22—43no—
608C22—41no—
609C22—43no—
610C22C24×C4×C511yescharacteristic
611C22C23×C5×D411yescharacteristic
612C22C22×C5×#4111yescharacteristic
613C22C2×C5×2−1+411yescharacteristic
614C22C5×#58511yescharacteristic
615C22C5×#58511yescharacteristic
616C22C5×#58511yescharacteristic
617C4—22no—
618C4—26no—
619C4—26no—
620C4—22no—
621C4—22no—
622C4—22no—
623C4—26no—
624C4—43no—
625C4—43no—
626C4—41no—
627C4—41no—
628C4—43no—
629C4C2×C4×C5×D4112yes—
630C2—42no—
631C2—46no—
632C2C22×C4×C5×D411yescharacteristic
633C2C5×#342811yescharacteristic
634C2C4×C5×2−1+411yescharacteristic
635C2C5×#348711yescharacteristic
636C2C5×#348911yescharacteristic
637C2C5×#351811yescharacteristic
638C2C5×#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×#519C2semidirect
3. C2×C4×C5×#41C2semidirect
4. C5×#2367C2semidirect
5. C5×#2363C2semidirect
6. C5×#2362C2semidirect
7. C5×#2354C2semidirect
8. C5×Q8×C4⋊C4C2semidirect
9. C5×#2341C2semidirect
10. C5×Q8×C22⋊C4C2semidirect
11. C5×#2326C2semidirect
12. C5×#2324C2semidirect
13. C4×C5×C22⋊Q8C2semidirect
14. C5×#2290C2semidirect
15. C5×#2276C2semidirect
18. C5×#548C4semidirect
69. #34293C5direct (N × H)
75. C22×C5×Q8C2×C4semidirect
84. C5×#124C2×C4semidirect
85. C5×C22⋊Q8C2×C4semidirect
86. C5×#121C2×C4semidirect
92. C4×C5×Q8C2×C4semidirect
93. C4×C5×Q8D4semidirect
96. C4×C5×D4C2×C4semidirect
144. C2×#519C2×C5semidirect
145. C2×C4×#41C2×C5semidirect
146. #2367C2×C5semidirect
147. #2363C2×C5semidirect
148. #2362C2×C5semidirect
149. #2354C2×C5semidirect
150. Q8×C4⋊C4C2×C5semidirect
151. #2341C2×C5semidirect
152. Q8×C22⋊C4C2×C5semidirect
153. #2326C2×C5semidirect
154. #2324C2×C5semidirect
155. C4×C22⋊Q8C2×C5semidirect
156. #2290C2×C5semidirect
157. #2276C2×C5semidirect
232. #548C4×C5semidirect
350. C22×Q8C2×C4×C5semidirect
359. #124C2×C4×C5semidirect
360. C22⋊Q8C2×C4×C5semidirect
361. #121C2×C4×C5semidirect
367. C4×Q8C2×C4×C5semidirect
368. C4×Q8C5×D4semidirect
371. C4×D4C2×C4×C5semidirect
595. C5#34293direct (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×#5192
C2×C4×C5×#412
C5×#23672
C5×#23632
C5×#23622
C5×#23542
C5×Q8×C4⋊C42
C5×#23412
C5×Q8×C22⋊C42
C5×#23262
C5×#23242
C4×C5×C22⋊Q82
C5×#22902
C5×#22762
#342935