Finite Group Databasebeta

← #12262515

Subgroups — #12262515

Order 1280.

2486 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×#525C211yesmaximal, characteristic
2#10615819C212yesmaximal, complemented
3#10615758C211yesmaximal, characteristic, complemented
4C2×#65500C211yesmaximal, characteristic, complemented
5#10614569C214yesmaximal, complemented
6#10614481C212yesmaximal, complemented
7#10614477C212yesmaximal, complemented
8#10614370C212yesmaximal, complemented
9#10614366C212yesmaximal, complemented
10#10614309C214yesmaximal, complemented
11#10614069C212yesmaximal, complemented
12#10614067C212yesmaximal, complemented
13#10614056C212yesmaximal, complemented
14#10614055C212yesmaximal, complemented
15#10613968C212yesmaximal, complemented
16C22×C5×#41C2211yescharacteristic
17C24×C4×C5C2211yescharacteristic
18C5×#525C4116yescomplemented
19C2×C5×#123C2212yes—
20C2×C5×C22⋊Q8C2211yescharacteristic
21C2×C5×C22⋊Q8C2211yescharacteristic
22C2×C5×#121C2211yescharacteristic
23C2×C5×#121C2211yescharacteristic
24C2×C5×#120C2212yes—
25C2×C4×C5×D4C2212yes—
26C2×C4×C5×D4C2212yes—
27C2×C5×#117C2211yescharacteristic
28C22×C22⋊Dic5C2212yes—
29C2×D4×Dic5C2214yes—
30C2×#4072C2212yes—
31#65536C2212yes—
32#65519C2214yescomplemented
33#65510C2214yes—
34#65510C2214yes—
35#65509C2214yes—
36#65509C2214yes—
37#65509C2214yes—
38#65509C2214yescomplemented
39#65501C2212yes—
40#65501C2212yes—
41#65501C2212yescomplemented
42#65500C2212yes—
43#65500C2211yescharacteristic
44#65500C2211yescharacteristic
45#65500C2212yes—
46#65500C2212yes—
47#65500C2212yes—
48#65500C2212yescomplemented
49C4×C22⋊Dic5C2211yescharacteristic
50C4×C22⋊Dic5C2211yescharacteristic
51C4×C22⋊Dic5C2212yes—
52C4×C22⋊Dic5C2212yescomplemented
53C2×#3963C2212yes—
54C2×#3963C2212yes—
55C2×#3963C2212yescomplemented
56#65274C2214yescomplemented
57#65270C2214yescomplemented
58#65270C2214yescomplemented
59#65270C2214yescomplemented
60#65270C2214yescomplemented
61C4⋊C4×Dic5C2214yescomplemented
62#65240C2214yes—
63#65240C2214yes—
64#65240C2214yes—
65#65240C2214yes—
66#65240C2214yescomplemented
67#65240C2214yescomplemented
68#65239C2214yes—
69#65239C2214yescomplemented
70C22⋊C4×Dic5C2214yes—
71C22⋊C4×Dic5C2214yescomplemented
72#65226C2212yescomplemented
73#65225C2212yescomplemented
74C4×C4⋊Dic5C2212yescomplemented
75#65221C2212yescomplemented
76#34396—51nomaximal, Sylow
77C25×C5C2311yescharacteristic
78C2×C5×#41—44no—
79C2×C5×#41C2×C418yes—
80C22×C5×Q8C2311yescharacteristic
81C22×C5×D4C2312yes—
82C22×C5×D4C2312yes—
83C22×C5×D4C2312yes—
84C22×C5×D4C2311yescharacteristic
85C23×C4×C5—44no—
86C23×C4×C5C2×C418yescomplemented
87C23×C4×C5C2311yescharacteristic
88C23×C4×C5C2311yescharacteristic
89C23×C4×C5C2312yes—
90C23×C4×C5C2311yescharacteristic
91C23×C4×C5C2311yescharacteristic
92C23×C4×C5C2311yescharacteristic
93C23×C4×C5C2311yescharacteristic
94C23×Dic5C2314yes—
95C23×Dic5C2314yes—
96C5×#123C2×C4116yescomplemented
97C5×C22⋊Q8C2×C418yescomplemented
98C5×C22⋊Q8C2×C418yescomplemented
99C5×#121C2×C418yescomplemented
100C5×#121C2×C418yescomplemented
101C5×#120C2×C4116yescomplemented
102C4×C5×D4C2×C4116yescomplemented
103C4×C5×D4C2×C4116yescomplemented
104C5×#117C2×C418yescomplemented
105C2×C5×C4⋊C4C2311yescharacteristic
106C2×C5×C4⋊C4C2311yescharacteristic
107C2×C5×C4⋊C4C2312yes—
108C2×C5×C4⋊C4C2312yes—
109C2×C5×C22⋊C4C2312yes—
110C2×C5×C22⋊C4C2312yes—
111C2×C5×C22⋊C4C2312yes—
112C2×C5×C22⋊C4C2312yes—
113C2×C5×C22⋊C4C2312yes—
114C2×C42×C5C2312yes—
115C2×C22⋊Dic5—44no—
116C2×C22⋊Dic5C2314yes—
117C2×C22⋊Dic5C2312yes—
118C2×C22⋊Dic5C2314yes—
119C2×C22⋊Dic5C2312yes—
120C2×C22⋊Dic5C2314yes—
121C2×C22⋊Dic5C2312yes—
122C2×C22⋊Dic5C2314yes—
123C2×C22⋊Dic5C2312yes—
124C2×C22⋊Dic5C2314yes—
125C2×C22⋊Dic5C2314yes—
126D4×Dic5—48no—
127#4072—44no—
128C2×C4⋊Dic5C2314yes—
129C2×C4⋊Dic5C2314yes—
130C2×C4⋊Dic5C2314yes—
131C2×C4⋊Dic5C2314yes—
132C2×C4×Dic5C2312yes—
133C2×C4×Dic5C2312yes—
134C2×C4×Dic5C2314yes—
135C2×C4×Dic5C2314yes—
136C2×C4×Dic5C2314yes—
137#3963C2312yes—
138#3963C2312yes—
139#3963C2314yes—
140#3963C2312yes—
141#3963C2312yes—
142#3963C2314yes—
143#3963C2314yes—
144#3963C2314yes—
145#3963C2314yes—
146#3963C2312yes—
147#3963C2314yes—
148#3963C2314yes—
149#3963C2312yes—
150#3963C2314yes—
151#3963C2314yes—
152C2×#525D511yescharacteristic
153#2378—52no—
154#2377—52no—
155#2359—54no—
156#2357—52no—
157#2353—52no—
158#2343—52no—
159#2339—52no—
160#2333—52no—
161#2332—52no—
162#2321—54no—
163#2319—52no—
164#2318—52no—
165#2280—51no—
166C2×#381—51no—
167C24×C5—24no—
168C24×C5—42no—
169C24×C5—42no—
170C24×C5C22×C414yes—
171C24×C5C2411yescharacteristic
172C24×C5C2411yescharacteristic
173C24×C5C2412yes—
174C24×C5C2411yescharacteristic
175C5×#41—416no—
176C2×C5×Q8—42no—
177C2×C5×Q8C22×C414yes—
178C2×C5×D4—28no—
179C2×C5×D4—42no—
180C2×C5×D4—44no—
181C2×C5×D4—42no—
182C2×C5×D4—42no—
183C2×C5×D4C22×C418yes—
184C2×C5×D4C22×C418yes—
185C2×C5×D4C22×C418yes—
186C2×C5×D4C22×C414yes—
187C22×C4×C5—24no—
188C22×C4×C5—24no—
189C22×C4×C5—416no—
190C22×C4×C5—42no—
191C22×C4×C5—42no—
192C22×C4×C5—42no—
193C22×C4×C5—42no—
194C22×C4×C5—44no—
195C22×C4×C5C22×C414yes—
196C22×C4×C5C22×C414yes—
197C22×C4×C5C22×C414yes—
198C22×C4×C5C22×C414yes—
199C22×C4×C5C22×C418yes—
200C22×C4×C5C22×C414yes—
201C22×C4×C5C22×C414yes—
202C22×C4×C5C2411yescharacteristic
203C22×C4×C5C2412yes—
204C22×C4×C5C2412yes—
205C22×C4×C5C2411yescharacteristic
206C22×C4×C5C2411yescharacteristic
207C22×C4×C5C2412yes—
208C22×C4×C5C2411yescharacteristic
209C22×Dic5—28no—
210C22×Dic5—44no—
211C22×Dic5—44no—
212C22×Dic5—44no—
213C22×Dic5—44no—
214C22×Dic5—44no—
215C22×Dic5C2414yes—
216C22×Dic5C2414yes—
217C22×Dic5C2414yes—
218C22×Dic5C2414yes—
219C5×C4⋊C4C22×C414yes—
220C5×C4⋊C4C22×C414yes—
221C5×C4⋊C4C22×C418yes—
222C5×C4⋊C4C22×C418yes—
223C5×C22⋊C4C22×C418yes—
224C5×C22⋊C4C22×C418yes—
225C5×C22⋊C4C22×C418yes—
226C5×C22⋊C4C22×C418yes—
227C5×C22⋊C4C22×C418yes—
228C42×C5C22×C418yes—
229C22⋊Dic5—28no—
230C22⋊Dic5—42no—
231C22⋊Dic5—44no—
232C22⋊Dic5—42no—
233C22⋊Dic5—44no—
234C22⋊Dic5—42no—
235C22⋊Dic5—44no—
236C22⋊Dic5—42no—
237C22⋊Dic5—44no—
238C22⋊Dic5—44no—
239C4⋊Dic5—44no—
240C4⋊Dic5—44no—
241C4⋊Dic5—44no—
242C4⋊Dic5—44no—
243C4×Dic5—44no—
244C4×Dic5—44no—
245C4×Dic5—42no—
246C4×Dic5—42no—
247C4×Dic5—44no—
248C22×#41C2×D511yescharacteristic
249C24×C4C2×D511yescharacteristic
250#525Dic5116yescomplemented
251C2×#123C2×D512yes—
252C2×C22⋊Q8C2×D511yescharacteristic
253C2×C22⋊Q8C2×D511yescharacteristic
254C2×#121C2×D511yescharacteristic
255C2×#121C2×D511yescharacteristic
256C2×#120C2×D512yes—
257C2×C4×D4—54no—
258C2×C4×D4C2×D512yes—
259C2×C4×D4C2×D512yes—
260C2×#117—52no—
261C2×#117C2×D511yescharacteristic
262C22×C22⋊C4—52no—
263#391—54no—
264#390—54no—
265#390—54no—
266#389—54no—
267#388—54no—
268#388—54no—
269#388—54no—
270#388—54no—
271#388—54no—
272#388—54no—
273#387—54no—
274#387—54no—
275#387—54no—
276#387—54no—
277#386—54no—
278#386—54no—
279#386—54no—
280#386—54no—
281#385—54no—
282#385—54no—
283#383—52no—
284#382—52no—
285#381—51no—
286#381—51no—
287#381—52no—
288#381—52no—
289#381—52no—
290#381—52no—
291#381—52no—
292#380—52no—
293#380—52no—
294#380—52no—
295#379—52no—
296C4×C4⋊C4—54no—
297C4×C4⋊C4—52no—
298C4×C22⋊C4—52no—
299C4×C22⋊C4—52no—
300C4×C22⋊C4—51no—
301C4×C22⋊C4—51no—
302C4×C22⋊C4—54no—
303C4×C22⋊C4—54no—
304#376—52no—
305C2×#95—52no—
306C2×#95—52no—
307C2×#95—52no—
308C23×C5—22no—
309C23×C5—22no—
310C23×C5—28no—
311C23×C5—22no—
312C23×C5—22no—
313C23×C5—24no—
314C23×C5—22no—
315C23×C5—22no—
316C23×C5—22no—
317C23×C5—24no—
318C23×C5—22no—
319C23×C5—22no—
320C23×C5—22no—
321C23×C5—44no—
322C23×C5—44no—
323C23×C5—416no—
324C23×C5C23×C412yes—
325C23×C5C23×C412yes—
326C23×C5C23×C414yes—
327C23×C5C23×C412yes—
328C23×C5H(5,𝔽2)14yes—
329C23×C5C2511yescharacteristic
330C5×Q8—44no—
331C5×D4—216no—
332C5×D4—48no—
333C5×D4—48no—
334C5×D4—44no—
335C2×C4×C5—28no—
336C2×C4×C5—28no—
337C2×C4×C5—22no—
338C2×C4×C5—24no—
339C2×C4×C5—22no—
340C2×C4×C5—22no—
341C2×C4×C5—22no—
342C2×C4×C5—22no—
343C2×C4×C5—24no—
344C2×C4×C5—22no—
345C2×C4×C5—44no—
346C2×C4×C5—44no—
347C2×C4×C5—44no—
348C2×C4×C5—44no—
349C2×C4×C5—48no—
350C2×C4×C5C23×C412yes—
351C2×C4×C5C23×C414yes—
352C2×C4×C5C23×C414yes—
353C2×C4×C5C23×C412yes—
354C2×C4×C5C23×C412yes—
355C2×C4×C5C23×C414yes—
356C2×C4×C5C23×C412yes—
357C2×Dic5—24no—
358C2×Dic5—24no—
359C2×Dic5—24no—
360C2×Dic5—24no—
361C2×Dic5—24no—
362C2×Dic5—24no—
363C2×Dic5—24no—
364C2×Dic5—24no—
365C2×Dic5—24no—
366C2×Dic5—24no—
367C2×Dic5—24no—
368C2×Dic5—24no—
369C2×Dic5—88no—
370C2×Dic5—88no—
371C25C22×D511yescharacteristic
372C2×#41—44no—
373C2×#41C2×Dic518yes—
374C22×Q8C22×D511yescharacteristic
375C22×D4C22×D512yes—
376C22×D4C22×D512yes—
377C22×D4C22×D512yes—
378C22×D4C22×D511yescharacteristic
379C23×C4—44no—
380C23×C4—54no—
381C23×C4—54no—
382C23×C4C2×Dic518yescomplemented
383C23×C4C22×D511yescharacteristic
384C23×C4C22×D511yescharacteristic
385C23×C4C22×D511yescharacteristic
386C23×C4C22×D511yescharacteristic
387C23×C4C22×D512yes—
388C23×C4C22×D511yescharacteristic
389C23×C4C22×D511yescharacteristic
390#123C2×Dic5116yescomplemented
391C22⋊Q8C2×Dic518yescomplemented
392C22⋊Q8C2×Dic518yescomplemented
393#121C2×Dic518yescomplemented
394#121C2×Dic518yescomplemented
395#120C2×Dic5116yescomplemented
396C4×D4—208no—
397C4×D4C2×Dic5116yescomplemented
398C4×D4C2×Dic5116yescomplemented
399#117—204no—
400#117C2×Dic518yescomplemented
401C2×C4⋊C4—54no—
402C2×C4⋊C4—54no—
403C2×C4⋊C4—54no—
404C2×C4⋊C4—54no—
405C2×C4⋊C4C22×D511yescharacteristic
406C2×C4⋊C4C22×D511yescharacteristic
407C2×C4⋊C4C22×D512yes—
408C2×C4⋊C4C22×D512yes—
409C2×C22⋊C4—54no—
410C2×C22⋊C4—52no—
411C2×C22⋊C4—54no—
412C2×C22⋊C4—52no—
413C2×C22⋊C4—54no—
414C2×C22⋊C4—52no—
415C2×C22⋊C4—54no—
416C2×C22⋊C4—52no—
417C2×C22⋊C4—54no—
418C2×C22⋊C4—54no—
419C2×C22⋊C4—204no—
420C2×C22⋊C4C22×D512yes—
421C2×C22⋊C4C22×D512yes—
422C2×C22⋊C4C22×D512yes—
423C2×C22⋊C4C22×D512yes—
424C2×C22⋊C4C22×D512yes—
425C2×C42—52no—
426C2×C42—52no—
427C2×C42—54no—
428C2×C42—54no—
429C2×C42—54no—
430C2×C42C22×D512yes—
431#95—52no—
432#95—52no—
433#95—52no—
434#95—54no—
435#95—52no—
436#95—54no—
437#95—52no—
438#95—54no—
439#95—54no—
440#95—52no—
441#95—54no—
442#95—54no—
443#95—54no—
444#95—54no—
445#95—54no—
446C22×C5—22no—
447C22×C5—22no—
448C22×C5—28no—
449C22×C5—22no—
450C22×C5—22no—
451C22×C5—24no—
452C22×C5—22no—
453C22×C5—22no—
454C22×C5—24no—
455C22×C5—24no—
456C22×C5—22no—
457C22×C5—22no—
458C22×C5—416no—
459C22×C5—44no—
460C22×C5—44no—
461C22×C5—44no—
462C22×C5—44no—
463C22×C5#51814yes—
464C22×C5C24×C411yescharacteristic
465C22×C5C2×H(5,𝔽2)12yes—
466C22×C5#58512yes—
467C22×C5#58512yes—
468C4×C5—22no—
469C4×C5—22no—
470C4×C5—22no—
471C4×C5—22no—
472C4×C5—24no—
473C4×C5—24no—
474C4×C5—24no—
475Dic5—44no—
476Dic5—44no—
477Dic5—44no—
478Dic5—44no—
479C24—24no—
480C24—42no—
481C24—42no—
482C24C22×Dic514yes—
483C24C23×D511yescharacteristic
484C24C23×D511yescharacteristic
485C24C23×D512yes—
486C24C23×D511yescharacteristic
487#41—416no—
488C2×Q8—42no—
489C2×Q8C22×Dic514yes—
490C2×D4—28no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—44no—
494C2×D4—42no—
495C2×D4C22×Dic518yes—
496C2×D4C22×Dic518yes—
497C2×D4C22×Dic518yes—
498C2×D4C22×Dic514yes—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—416no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—44no—
507C22×C4—54no—
508C22×C4—54no—
509C22×C4—54no—
510C22×C4—54no—
511C22×C4—108no—
512C22×C4—204no—
513C22×C4—204no—
514C22×C4—204no—
515C22×C4—204no—
516C22×C4—204no—
517C22×C4C22×Dic514yes—
518C22×C4C22×Dic514yes—
519C22×C4C22×Dic514yes—
520C22×C4C22×Dic514yes—
521C22×C4C22×Dic518yes—
522C22×C4C22×Dic514yes—
523C22×C4C22×Dic514yes—
524C22×C4C23×D511yescharacteristic
525C22×C4C23×D511yescharacteristic
526C22×C4C23×D511yescharacteristic
527C22×C4C23×D512yes—
528C22×C4C23×D512yes—
529C22×C4C23×D512yes—
530C22×C4C23×D511yescharacteristic
531C4⋊C4—204no—
532C4⋊C4—204no—
533C4⋊C4—204no—
534C4⋊C4—204no—
535C4⋊C4C22×Dic514yes—
536C4⋊C4C22×Dic514yes—
537C4⋊C4C22×Dic518yes—
538C4⋊C4C22×Dic518yes—
539C22⋊C4—108no—
540C22⋊C4—202no—
541C22⋊C4—204no—
542C22⋊C4—202no—
543C22⋊C4—204no—
544C22⋊C4—204no—
545C22⋊C4—202no—
546C22⋊C4—204no—
547C22⋊C4—202no—
548C22⋊C4—204no—
549C22⋊C4C22×Dic518yes—
550C22⋊C4C22×Dic518yes—
551C22⋊C4C22×Dic518yes—
552C22⋊C4C22×Dic518yes—
553C22⋊C4C22×Dic518yes—
554C42—202no—
555C42—202no—
556C42—204no—
557C42—204no—
558C42—204no—
559C42C22×Dic518yes—
560C2×C5—24no—
561C2×C5—44no—
562C2×C5—42no—
563C2×C5—42no—
564C2×C5C2×#51811yescharacteristic
565C2×C5#342811yescharacteristic
566C2×C5#342811yescharacteristic
567C2×C5#353314yes—
568C23—22no—
569C23—22no—
570C23—28no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—44no—
582C23—44no—
583C23—416no—
584C23#414414yes—
585C23C23×Dic512yes—
586C23C23×Dic512yes—
587C23C23×Dic514yes—
588C23C23×Dic512yes—
589C23C24×D511yescharacteristic
590Q8—44no—
591D4—216no—
592D4—44no—
593D4—48no—
594D4—48no—
595C2×C4—28no—
596C2×C4—28no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—44no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—48no—
610C2×C4—104no—
611C2×C4—104no—
612C2×C4—104no—
613C2×C4—104no—
614C2×C4—104no—
615C2×C4—104no—
616C2×C4—104no—
617C2×C4—104no—
618C2×C4—104no—
619C2×C4—104no—
620C2×C4—104no—
621C2×C4—104no—
622C2×C4—408no—
623C2×C4—408no—
624C2×C4C23×Dic512yes—
625C2×C4C23×Dic514yes—
626C2×C4C23×Dic514yes—
627C2×C4C23×Dic512yes—
628C2×C4C23×Dic512yes—
629C2×C4C23×Dic514yes—
630C2×C4C23×Dic512yes—
631C5#3439611yescharacteristic, complemented, Sylow
632C22—22no—
633C22—22no—
634C22—28no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—24no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—24no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#6613214yes—
650C22C2×#414412yes—
651C22#6628312yes—
652C22#6628312yes—
653C22C24×Dic511yescharacteristic
654C4—24no—
655C4—24no—
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—24no—
661C4—204no—
662C4—204no—
663C4—204no—
664C4—204no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2#1061795014yes—
670C2C2×#6613211yescharacteristic
671C2#1061916111yescharacteristic
672C2#1061916111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutatorC22×C5C24×C4
Fitting, prime radicalC2×C5×#525C2
socle, cosocleC23×C5C25
hypercenterC2×#525D5
hypocenterC5#34396
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
2. #10615819C2semidirect
3. #10615758C2semidirect
4. C2×#65500C2semidirect
5. #10614569C2semidirect
6. #10614481C2semidirect
7. #10614477C2semidirect
8. #10614370C2semidirect
9. #10614366C2semidirect
10. #10614309C2semidirect
11. #10614069C2semidirect
12. #10614067C2semidirect
13. #10614056C2semidirect
14. #10614055C2semidirect
15. #10613968C2semidirect
18. C5×#525C4semidirect
32. #65519C22semidirect
38. #65509C22semidirect
41. #65501C22semidirect
48. #65500C22semidirect
52. C4×C22⋊Dic5C22semidirect
55. C2×#3963C22semidirect
56. #65274C22semidirect
57. #65270C22semidirect
58. #65270C22semidirect
59. #65270C22semidirect
60. #65270C22semidirect
61. C4⋊C4×Dic5C22semidirect
66. #65240C22semidirect
67. #65240C22semidirect
69. #65239C22semidirect
71. C22⋊C4×Dic5C22semidirect
72. #65226C22semidirect
73. #65225C22semidirect
74. C4×C4⋊Dic5C22semidirect
75. #65221C22semidirect
86. C23×C4×C5C2×C4semidirect
96. C5×#123C2×C4semidirect
97. C5×C22⋊Q8C2×C4semidirect
98. C5×C22⋊Q8C2×C4semidirect
99. C5×#121C2×C4semidirect
100. C5×#121C2×C4semidirect
101. C5×#120C2×C4semidirect
102. C4×C5×D4C2×C4semidirect
103. C4×C5×D4C2×C4semidirect
104. C5×#117C2×C4semidirect
250. #525Dic5semidirect
382. C23×C4C2×Dic5semidirect
390. #123C2×Dic5semidirect
391. C22⋊Q8C2×Dic5semidirect
392. C22⋊Q8C2×Dic5semidirect
393. #121C2×Dic5semidirect
394. #121C2×Dic5semidirect
395. #120C2×Dic5semidirect
397. C4×D4C2×Dic5semidirect
398. C4×D4C2×Dic5semidirect
400. #117C2×Dic5semidirect
631. C5#34396semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#5252
#106158192
#106157582
C2×#655002
#106145692
#106144812
#106144772
#106143702
#106143662
#106143092
#106140692
#106140672
#106140562
#106140552
#106139682
#343965