Finite Group Databasebeta

← C5×#34291 #11957011

Subgroups — C5×#34291 #11957011

Order 1280.

2912 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×D4×Q8C211yesmaximal, characteristic
2C2×C5×#519C211yesmaximal, characteristic, complemented
3C22×C4×C5×Q8C211yesmaximal, characteristic, complemented
4C5×#2365C213yesmaximal, complemented
5C5×#2362C213yesmaximal, complemented
6C5×#2360C213yesmaximal, complemented
7C5×#2352C213yesmaximal
8C5×#2351C211yesmaximal, characteristic, complemented
9C5×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
10C5×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
11C5×#2327C213yesmaximal, complemented
12C5×#2323C213yesmaximal, complemented
13C4×C5×C22⋊Q8C213yesmaximal, complemented
14C5×#2290C213yesmaximal
15C5×#2276C211yesmaximal, characteristic, complemented
16C23×C5×Q8C2211yescharacteristic
17C23×C5×Q8C2211yescharacteristic
18C5×D4×Q8C4116yescomplemented
19C2×C5×C4⋊Q8C2213yes—
20C2×C5×C22⋊Q8C2213yes—
21C2×C5×C22⋊Q8C2213yes—
22C5×#519—28no—
23C2×C4×C5×Q8—28no—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×Q8C2213yes—
26C2×C4×C5×Q8C2211yescharacteristic
27C2×C4×C5×Q8C2213yes—
28C2×C4×C5×Q8C2213yes—
29C2×C4×C5×Q8C2211yescharacteristic
30C2×C4×C5×Q8C2213yes—
31C2×C4×C5×Q8C2211yescharacteristic
32C2×C4×C5×Q8C2211yescharacteristic
33C2×C4×C5×D4C2213yes—
34C2×C5×#117C2213yes—
35C2×C5×#117C2213yes—
36C22×C5×C4⋊C4C2213yes—
37C22×C42×C5C2213yes—
38C5×#391C2213yes—
39C5×#391C2213yes—
40C5×#391C2213yes—
41C5×#391C2213yes—
42C5×#389C2213yes—
43C5×#389C2213yes—
44C5×#389C2216yes—
45C5×#388C2213yes—
46C5×#388C2213yes—
47C5×#388C2216yes—
48C5×#387C2213yes—
49C5×#387C2213yes—
50C5×#387C2216yes—
51C5×#387C2216yes—
52C5×#387C2216yes—
53C5×#386C2211yescharacteristic
54C5×#386C2213yes—
55C5×#385C2213yes—
56C5×#385C2213yes—
57C5×#382C2213yes—
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#34291C511yesmaximal, characteristic, direct product factor, Sylow
70C22×C5×Q8—24no—
71C22×C5×Q8—24no—
72C22×C5×Q8—24no—
73C22×C5×Q8—24no—
74C22×C5×Q8C2×C418yes—
75C22×C5×Q8C2×C418yescomplemented
76C22×C5×Q8C2313yes—
77C22×C5×Q8C2313yes—
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C23×C4×C5C2313yes—
82C23×C4×C5C2313yes—
83C23×C4×C5C2313yes—
84C5×C4⋊Q8C2×C4124yescomplemented
85C5×C22⋊Q8C2×C4124yes—
86C5×C22⋊Q8C2×C4124yescomplemented
87C4×C5×Q8—24no—
88C4×C5×Q8—24no—
89C4×C5×Q8—24no—
90C4×C5×Q8—212no—
91C4×C5×Q8—212no—
92C4×C5×Q8—212no—
93C4×C5×Q8—212no—
94C4×C5×Q8C2×C418yescomplemented
95C4×C5×Q8D418yescomplemented
96C4×C5×D4C2×C4124yes—
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⋊C4C2316yes—
107C2×C5×C4⋊C4C2313yes—
108C2×C5×C4⋊C4C2313yes—
109C2×C5×C4⋊C4C2316yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C4⋊C4C2313yes—
112C2×C5×C22⋊C4C2313yes—
113C2×C5×C22⋊C4C2311yescharacteristic
114C2×C5×C22⋊C4C2311yescharacteristic
115C2×C5×C22⋊C4C2311yescharacteristic
116C2×C5×C22⋊C4C2313yes—
117C2×C5×C22⋊C4C2313yes—
118C2×C5×C22⋊C4C2313yes—
119C2×C5×C22⋊C4C2313yes—
120C2×C42×C5—212no—
121C2×C42×C5C2313yes—
122C2×C42×C5C2316yes—
123C2×C42×C5C2313yes—
124C2×C42×C5C2313yes—
125C2×C42×C5C2313yes—
126C2×C42×C5C2313yes—
127C2×C42×C5C2316yes—
128C2×C42×C5C2313yes—
129C2×C42×C5C2313yes—
130C5×#95C2311yescharacteristic
131C5×#95C2313yes—
132C5×#95C2313yes—
133C5×#95C2313yes—
134C5×#95C2313yes—
135C5×#95C2316yes—
136C5×#95C2316yes—
137C5×#95C2313yes—
138C5×#95C2313yes—
139C5×#95C2313yes—
140C5×#95C2311yescharacteristic
141C5×#95C2316yes—
142C5×#95C2313yes—
143C2×D4×Q8C2×C511yescharacteristic
144C2×#519C2×C511yescharacteristic, complemented
145C22×C4×Q8C2×C511yescharacteristic, complemented
146#2365C2×C513yescomplemented
147#2362C2×C513yescomplemented
148#2360C2×C513yescomplemented
149#2352C2×C513yes—
150#2351C2×C511yescharacteristic, complemented
151Q8×C22⋊C4C2×C511yescharacteristic, complemented
152Q8×C22⋊C4C2×C511yescharacteristic, complemented
153#2327C2×C513yescomplemented
154#2323C2×C513yescomplemented
155C4×C22⋊Q8C2×C513yescomplemented
156#2290C2×C513yes—
157#2276C2×C511yescharacteristic, complemented
158C24×C5C2411yescharacteristic
159C24×C5C2411yescharacteristic
160C2×C5×Q8—232no—
161C2×C5×Q8—232no—
162C2×C5×Q8—26no—
163C2×C5×Q8—26no—
164C2×C5×Q8—26no—
165C2×C5×Q8—26no—
166C2×C5×Q8C22×C4112yes—
167C2×C5×Q8C22×C4112yes—
168C2×C5×Q8C22×C414yes—
169C2×C5×Q8C2×D414yes—
170C2×C5×Q8#4114yes—
171C2×C5×D4—22no—
172C2×C5×D4—22no—
173C2×C5×D4C22×C414yes—
174C22×C4×C5—22no—
175C22×C4×C5—22no—
176C22×C4×C5—26no—
177C22×C4×C5—26no—
178C22×C4×C5—26no—
179C22×C4×C5—26no—
180C22×C4×C5—22no—
181C22×C4×C5—26no—
182C22×C4×C5—26no—
183C22×C4×C5—43no—
184C22×C4×C5C22×C4112yes—
185C22×C4×C5C22×C4112yes—
186C22×C4×C5C2411yescharacteristic
187C22×C4×C5C2413yes—
188C22×C4×C5C2413yes—
189C22×C4×C5C2411yescharacteristic
190C22×C4×C5C2413yes—
191C22×C4×C5C2413yes—
192C22×C4×C5C2411yescharacteristic
193C22×C4×C5C2413yes—
194C22×C4×C5C2413yes—
195C22×C4×C5C2413yes—
196C22×C4×C5C2411yescharacteristic
197C22×C4×C5C2411yescharacteristic
198C22×C4×C5C2413yes—
199C5×C4⋊C4—212no—
200C5×C4⋊C4—26no—
201C5×C4⋊C4—26no—
202C5×C4⋊C4—26no—
203C5×C4⋊C4—26no—
204C5×C4⋊C4—26no—
205C5×C4⋊C4—26no—
206C5×C4⋊C4—43no—
207C5×C4⋊C4C22×C4112yes—
208C5×C4⋊C4C22×C4112yes—
209C5×C4⋊C4C22×C4124yes—
210C5×C4⋊C4C2×D4112yes—
211C5×C22⋊C4—26no—
212C5×C22⋊C4—22no—
213C5×C22⋊C4—22no—
214C5×C22⋊C4—26no—
215C5×C22⋊C4—22no—
216C5×C22⋊C4—43no—
217C5×C22⋊C4C22×C4112yes—
218C5×C22⋊C4C22×C4112yes—
219C42×C5—26no—
220C42×C5—26no—
221C42×C5—26no—
222C42×C5—212no—
223C42×C5—26no—
224C42×C5—26no—
225C42×C5—46no—
226C42×C5C22×C4112yes—
227C42×C5C2×D4112yes—
228C23×Q8C22×C511yescharacteristic
229C23×Q8C22×C511yescharacteristic
230D4×Q8C4×C5116yescomplemented
231C2×C4⋊Q8C22×C513yes—
232C2×C22⋊Q8C22×C513yes—
233C2×C22⋊Q8C22×C513yes—
234#519—28no—
235C2×C4×Q8—28no—
236C2×C4×Q8C22×C513yes—
237C2×C4×Q8C22×C513yes—
238C2×C4×Q8C22×C511yescharacteristic
239C2×C4×Q8C22×C511yescharacteristic
240C2×C4×Q8C22×C511yescharacteristic
241C2×C4×Q8C22×C513yes—
242C2×C4×Q8C22×C513yes—
243C2×C4×Q8C22×C511yescharacteristic
244C2×C4×Q8C22×C511yescharacteristic
245C2×C4×D4C22×C513yes—
246C2×#117C22×C513yes—
247C2×#117C22×C513yes—
248C22×C4⋊C4C22×C513yes—
249C22×C42C22×C513yes—
250#391C22×C513yes—
251#391C22×C513yes—
252#391C22×C513yes—
253#391C22×C513yes—
254#389C22×C513yes—
255#389C22×C516yes—
256#389C22×C513yes—
257#388C22×C513yes—
258#388C22×C516yes—
259#388C22×C513yes—
260#387C22×C516yes—
261#387C22×C513yes—
262#387C22×C516yes—
263#387C22×C516yes—
264#387C22×C513yes—
265#386C22×C513yes—
266#386C22×C511yescharacteristic
267#385C22×C513yes—
268#385C22×C513yes—
269#382C22×C513yes—
270#380C22×C513yes—
271#380C22×C513yes—
272C4×C4⋊C4C22×C513yes—
273C4×C4⋊C4C22×C513yes—
274C4×C4⋊C4C22×C513yes—
275C4×C4⋊C4C22×C513yes—
276C4×C4⋊C4C22×C516yes—
277C4×C22⋊C4C22×C513yes—
278C4×C22⋊C4C22×C513yes—
279C4×C22⋊C4C22×C516yes—
280#376C22×C513yes—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—21no—
284C23×C5—21no—
285C23×C5—21no—
286C23×C5—21no—
287C23×C5—21no—
288C23×C5—21no—
289C23×C5—21no—
290C23×C5—21no—
291C23×C5C23×C412yes—
292C23×C5C23×C412yes—
293C23×C52−1+412yes—
294C23×C52−1+412yes—
295C23×C5C2511yescharacteristic
296C5×Q8—224no—
297C5×Q8—224no—
298C5×Q8C4×D4116yes—
299C5×D4—28no—
300C2×C4×C5—28no—
301C2×C4×C5—21no—
302C2×C4×C5—23no—
303C2×C4×C5—23no—
304C2×C4×C5—23no—
305C2×C4×C5—23no—
306C2×C4×C5—23no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—23no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
313C2×C4×C5—23no—
314C2×C4×C5—23no—
315C2×C4×C5—224no—
316C2×C4×C5—224no—
317C2×C4×C5—23no—
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—21no—
326C2×C4×C5—21no—
327C2×C4×C5—23no—
328C2×C4×C5—23no—
329C2×C4×C5—23no—
330C2×C4×C5—23no—
331C2×C4×C5—21no—
332C2×C4×C5—412no—
333C2×C4×C5C23×C412yes—
334C2×C4×C5C23×C416yes—
335C2×C4×C5C23×C416yes—
336C2×C4×C5C23×C416yes—
337C2×C4×C5C23×C416yes—
338C2×C4×C5C22×D412yes—
339C2×C4×C5C22×D416yes—
340C2×C4×C5C22×D416yes—
341C2×C4×C5C2×#4116yes—
342C2×C4×C52−1+412yes—
343C22×Q8—24no—
344C22×Q8—24no—
345C22×Q8—24no—
346C22×Q8—24no—
347C22×Q8C2×C4×C518yes—
348C22×Q8C2×C4×C518yescomplemented
349C22×Q8C23×C513yes—
350C22×Q8C23×C513yes—
351C22×Q8C23×C511yescharacteristic
352C22×D4C23×C511yescharacteristic
353C23×C4C23×C511yescharacteristic
354C23×C4C23×C513yes—
355C23×C4C23×C513yes—
356C23×C4C23×C513yes—
357C4⋊Q8C2×C4×C5124yescomplemented
358C22⋊Q8C2×C4×C5124yes—
359C22⋊Q8C2×C4×C5124yescomplemented
360C4×Q8—24no—
361C4×Q8—24no—
362C4×Q8—24no—
363C4×Q8—212no—
364C4×Q8—212no—
365C4×Q8—212no—
366C4×Q8—212no—
367C4×Q8C2×C4×C518yescomplemented
368C4×Q8C5×D418yescomplemented
369C4×D4C2×C4×C5124yes—
370#117—212no—
371#117—212no—
372C2×C4⋊C4—212no—
373C2×C4⋊C4C23×C513yes—
374C2×C4⋊C4C23×C516yes—
375C2×C4⋊C4C23×C513yes—
376C2×C4⋊C4C23×C513yes—
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×C516yes—
384C2×C4⋊C4C23×C513yes—
385C2×C22⋊C4C23×C513yes—
386C2×C22⋊C4C23×C511yescharacteristic
387C2×C22⋊C4C23×C513yes—
388C2×C22⋊C4C23×C511yescharacteristic
389C2×C22⋊C4C23×C511yescharacteristic
390C2×C22⋊C4C23×C513yes—
391C2×C22⋊C4C23×C513yes—
392C2×C22⋊C4C23×C513yes—
393C2×C42—212no—
394C2×C42C23×C516yes—
395C2×C42C23×C513yes—
396C2×C42C23×C513yes—
397C2×C42C23×C513yes—
398C2×C42C23×C513yes—
399C2×C42C23×C513yes—
400C2×C42C23×C516yes—
401C2×C42C23×C513yes—
402C2×C42C23×C513yes—
403#95C23×C511yescharacteristic
404#95C23×C513yes—
405#95C23×C513yes—
406#95C23×C513yes—
407#95C23×C513yes—
408#95C23×C516yes—
409#95C23×C516yes—
410#95C23×C513yes—
411#95C23×C513yes—
412#95C23×C513yes—
413#95C23×C511yescharacteristic
414#95C23×C516yes—
415#95C23×C513yes—
416C22×C5—22no—
417C22×C5—22no—
418C22×C5—22no—
419C22×C5—22no—
420C22×C5—22no—
421C22×C5—22no—
422C22×C5—22no—
423C22×C5—22no—
424C22×C5—22no—
425C22×C5—41no—
426C22×C5—41no—
427C22×C5—41no—
428C22×C5—41no—
429C22×C5#51914yescomplemented
430C22×C5C24×C411yescharacteristic
431C22×C5C23×D411yescharacteristic
432C22×C5C22×#4111yescharacteristic
433C22×C5C2×2−1+411yescharacteristic
434C22×C5C2×2−1+411yescharacteristic
435C22×C5C2×2−1+411yescharacteristic
436C22×C5#58511yescharacteristic
437C4×C5—26no—
438C4×C5—26no—
439C4×C5—22no—
440C4×C5—26no—
441C4×C5—22no—
442C4×C5—22no—
443C4×C5—26no—
444C4×C5—43no—
445C4×C5—41no—
446C4×C5—43no—
447C4×C5—43no—
448C4×C5—41no—
449C4×C5C2×C4×D4112yes—
450C24C24×C511yescharacteristic
451C24C24×C511yescharacteristic
452C2×Q8—232no—
453C2×Q8—232no—
454C2×Q8—26no—
455C2×Q8—26no—
456C2×Q8—26no—
457C2×Q8—26no—
458C2×Q8C22×C4×C5112yes—
459C2×Q8C22×C4×C5112yes—
460C2×Q8C22×C4×C514yes—
461C2×Q8C2×C5×D414yes—
462C2×Q8C5×#4114yes—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4C22×C4×C514yes—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—26no—
469C22×C4—26no—
470C22×C4—26no—
471C22×C4—26no—
472C22×C4—22no—
473C22×C4—26no—
474C22×C4—26no—
475C22×C4—43no—
476C22×C4C22×C4×C5112yes—
477C22×C4C22×C4×C5112yes—
478C22×C4C24×C511yescharacteristic
479C22×C4C24×C513yes—
480C22×C4C24×C513yes—
481C22×C4C24×C513yes—
482C22×C4C24×C511yescharacteristic
483C22×C4C24×C511yescharacteristic
484C22×C4C24×C513yes—
485C22×C4C24×C513yes—
486C22×C4C24×C513yes—
487C22×C4C24×C511yescharacteristic
488C22×C4C24×C513yes—
489C22×C4C24×C511yescharacteristic
490C22×C4C24×C513yes—
491C4⋊C4—212no—
492C4⋊C4—26no—
493C4⋊C4—26no—
494C4⋊C4—26no—
495C4⋊C4—26no—
496C4⋊C4—26no—
497C4⋊C4—26no—
498C4⋊C4—43no—
499C4⋊C4C22×C4×C5112yes—
500C4⋊C4C22×C4×C5112yes—
501C4⋊C4C22×C4×C5124yes—
502C4⋊C4C2×C5×D4112yes—
503C22⋊C4—26no—
504C22⋊C4—22no—
505C22⋊C4—22no—
506C22⋊C4—26no—
507C22⋊C4—22no—
508C22⋊C4—43no—
509C22⋊C4C22×C4×C5112yes—
510C22⋊C4C22×C4×C5112yes—
511C42—26no—
512C42—26no—
513C42—26no—
514C42—212no—
515C42—26no—
516C42—26no—
517C42—46no—
518C42C22×C4×C5112yes—
519C42C2×C5×D4112yes—
520C2×C5—24no—
521C2×C5—42no—
522C2×C5C22×C4×D411yescharacteristic
523C2×C5C2×#51911yescharacteristic
524C2×C5C4×2−1+411yescharacteristic
525C2×C5#348611yescharacteristic
526C2×C5#348911yescharacteristic
527C2×C5#351611yescharacteristic
528C2×C5#352311yescharacteristic
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23C23×C4×C512yes—
540C23C23×C4×C512yes—
541C23C5×2−1+412yes—
542C23C5×2−1+412yes—
543C23C25×C511yescharacteristic
544Q8—224no—
545Q8—224no—
546Q8C4×C5×D4116yes—
547D4—28no—
548C2×C4—28no—
549C2×C4—21no—
550C2×C4—23no—
551C2×C4—23no—
552C2×C4—23no—
553C2×C4—23no—
554C2×C4—23no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—23no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—23no—
562C2×C4—23no—
563C2×C4—224no—
564C2×C4—224no—
565C2×C4—23no—
566C2×C4—21no—
567C2×C4—23no—
568C2×C4—21no—
569C2×C4—23no—
570C2×C4—23no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—23no—
578C2×C4—23no—
579C2×C4—21no—
580C2×C4—412no—
581C2×C4C23×C4×C512yes—
582C2×C4C23×C4×C516yes—
583C2×C4C23×C4×C516yes—
584C2×C4C23×C4×C516yes—
585C2×C4C23×C4×C516yes—
586C2×C4C22×C5×D412yes—
587C2×C4C22×C5×D416yes—
588C2×C4C22×C5×D416yes—
589C2×C4C2×C5×#4116yes—
590C2×C4C5×2−1+412yes—
591C5#3429111yescharacteristic, direct product factor, Sylow
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22—22no—
599C22—22no—
600C22—22no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22C5×#51914yescomplemented
606C22C24×C4×C511yescharacteristic
607C22C23×C5×D411yescharacteristic
608C22C22×C5×#4111yescharacteristic
609C22C2×C5×2−1+411yescharacteristic
610C22C2×C5×2−1+411yescharacteristic
611C22C2×C5×2−1+411yescharacteristic
612C22C5×#58511yescharacteristic
613C4—26no—
614C4—26no—
615C4—22no—
616C4—26no—
617C4—22no—
618C4—22no—
619C4—26no—
620C4—43no—
621C4—43no—
622C4—41no—
623C4—43no—
624C4—41no—
625C4C2×C4×C5×D4112yes—
626C2—24no—
627C2—42no—
628C2C22×C4×C5×D411yescharacteristic
629C2C2×C5×#51911yescharacteristic
630C2C4×C5×2−1+411yescharacteristic
631C2C5×#348611yescharacteristic
632C2C5×#348911yescharacteristic
633C2C5×#351611yescharacteristic
634C2C5×#352311yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutatorC22C24×C4×C5
Frattini, cosocleC23C25×C5
prime radicalC22×C5×D4C23
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. C22×C4×C5×Q8C2semidirect
4. C5×#2365C2semidirect
5. C5×#2362C2semidirect
6. C5×#2360C2semidirect
8. C5×#2351C2semidirect
9. C5×Q8×C22⋊C4C2semidirect
10. C5×Q8×C22⋊C4C2semidirect
11. C5×#2327C2semidirect
12. C5×#2323C2semidirect
13. C4×C5×C22⋊Q8C2semidirect
15. C5×#2276C2semidirect
18. C5×D4×Q8C4semidirect
69. #34291C5direct (N × H)
75. C22×C5×Q8C2×C4semidirect
84. C5×C4⋊Q8C2×C4semidirect
86. C5×C22⋊Q8C2×C4semidirect
94. C4×C5×Q8C2×C4semidirect
95. C4×C5×Q8D4semidirect
144. C2×#519C2×C5semidirect
145. C22×C4×Q8C2×C5semidirect
146. #2365C2×C5semidirect
147. #2362C2×C5semidirect
148. #2360C2×C5semidirect
150. #2351C2×C5semidirect
151. Q8×C22⋊C4C2×C5semidirect
152. Q8×C22⋊C4C2×C5semidirect
153. #2327C2×C5semidirect
154. #2323C2×C5semidirect
155. C4×C22⋊Q8C2×C5semidirect
157. #2276C2×C5semidirect
230. D4×Q8C4×C5semidirect
348. C22×Q8C2×C4×C5semidirect
357. C4⋊Q8C2×C4×C5semidirect
359. C22⋊Q8C2×C4×C5semidirect
367. C4×Q8C2×C4×C5semidirect
368. C4×Q8C5×D4semidirect
429. C22×C5#519semidirect
591. C5#34291direct (N × H)
605. C22C5×#519semidirect

Maximal subgroups

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

subgroupindex
C2×C5×D4×Q82
C2×C5×#5192
C22×C4×C5×Q82
C5×#23652
C5×#23622
C5×#23602
C5×#23522
C5×#23512
C5×Q8×C22⋊C42
C5×#23272
C5×#23232
C4×C5×C22⋊Q82
C5×#22902
C5×#22762
#342915