Finite Group Databasebeta

← #15784902

Subgroups — #15784902

Order 3328.

2510 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#6101C211yesmaximal, characteristic
2C2×#11718611C211yesmaximal, characteristic
3C2×#11718871C211yesmaximal, characteristic
4C2×#11718607C211yesmaximal, characteristic
5C2×#11718637C212yesmaximal, complemented
6C2×#11718603C211yesmaximal, characteristic
7C2×C22⋊C4×Dic13C211yesmaximal, characteristic
8#13113100C212yesmaximal, complemented
9#13113099C212yesmaximal, complemented
10#13113064C212yesmaximal, complemented
11C2×C13×#385C211yesmaximal, characteristic
12C24×C4×C13C2211yescharacteristic
13C24×Dic13C2211yescharacteristic
14C24×Dic13C2211yescharacteristic
15C22×C13×C4⋊C4C2212yes—
16C22×C13×C22⋊C4C2211yescharacteristic
17C22×C13×C22⋊C4C2211yescharacteristic
18C22×C22⋊Dic13C2211yescharacteristic
19C22×C22⋊Dic13C2211yescharacteristic
20C22×C4⋊Dic13C2212yes—
21C22×#6101—24no—
22C22×#6101—28no—
23C22×#6101C2212yes—
24C22×#6101C2211yescharacteristic
25C22×#6101C2211yescharacteristic
26C22×#6101C2212yes—
27C22×#6101C2212yes—
28C22×#6101C2212yes—
29C22×C4×Dic13C2212yes—
30C13×#385—24no—
31C2×C13×#95C2212yes—
32#11718871—24no—
33C2×#88071C2211yescharacteristic
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36C2×#88071C2211yescharacteristic
37C2×#88071C2212yes—
38C2×#88071C2212yes—
39#11718637—28no—
40#11718611—24no—
41#11718607—24no—
42#11718603—24no—
43C22⋊C4×Dic13C418yescomplemented
44C25×C13C2311yescharacteristic
45C23×C4×C13—22no—
46C23×C4×C13—24no—
47C23×C4×C13—22no—
48C23×C4×C13—22no—
49C23×C4×C13—42no—
50C23×C4×C13C2311yescharacteristic
51C23×C4×C13C2311yescharacteristic
52C23×C4×C13C2312yes—
53C23×C4×C13C2312yes—
54C23×Dic13—24no—
55C23×Dic13—24no—
56C23×Dic13—22no—
57C23×Dic13—24no—
58C23×Dic13—22no—
59C23×Dic13—22no—
60C23×Dic13—42no—
61C23×Dic13C2×C414yes—
62C23×Dic13D414yes—
63C23×Dic13Q814yes—
64C23×Dic13C2311yescharacteristic
65C23×Dic13C2311yescharacteristic
66C23×Dic13C2312yes—
67C23×Dic13C2312yes—
68C23×Dic13C2311yescharacteristic
69C23×Dic13C2311yescharacteristic
70C2×C13×C4⋊C4—24no—
71C2×C13×C4⋊C4—24no—
72C2×C13×C4⋊C4—42no—
73C2×C13×C22⋊C4—22no—
74C2×C13×C22⋊C4—22no—
75C2×C13×C22⋊C4—22no—
76C2×C13×C22⋊C4C2×C414yes—
77C2×C13×C22⋊C4D414yes—
78C2×C13×C22⋊C4Q814yes—
79C2×C22⋊Dic13—22no—
80C2×C22⋊Dic13—22no—
81C2×C22⋊Dic13—22no—
82C2×C22⋊Dic13C2×C414yes—
83C2×C22⋊Dic13D414yes—
84C2×C22⋊Dic13Q814yes—
85C2×C4⋊Dic13—24no—
86C2×C4⋊Dic13—24no—
87C2×C4⋊Dic13—42no—
88C2×#6101—232no—
89C2×#6101—24no—
90C2×#6101—24no—
91C2×#6101—24no—
92C2×#6101—24no—
93C2×#6101—24no—
94C2×#6101—24no—
95C2×#6101—22no—
96C2×#6101—22no—
97C2×#6101—24no—
98C2×#6101—24no—
99C2×#6101—24no—
100C2×#6101—24no—
101C2×#6101—24no—
102C2×#6101—42no—
103C2×#6101—42no—
104C2×#6101D418yes—
105C2×C4×Dic13—24no—
106C2×C4×Dic13—24no—
107C2×C4×Dic13C2×C418yescomplemented
108C13×#95—24no—
109#88071—24no—
110#88071—22no—
111#88071—22no—
112#88071—24no—
113#88071—24no—
114#88071C2×C418yescomplemented
115#13880—131nomaximal, Sylow
116C24×C13—22no—
117C24×C13—22no—
118C24×C13—22no—
119C24×C13—22no—
120C24×C13C22×C412yes—
121C24×C13C2×D412yes—
122C24×C13C2×D412yes—
123C24×C13C2×D412yes—
124C24×C13C2×Q812yes—
125C24×C13C2×Q812yes—
126C24×C13C2×Q812yes—
127C24×C13C2411yescharacteristic
128C22×C4×C13—22no—
129C22×C4×C13—22no—
130C22×C4×C13—22no—
131C22×C4×C13—22no—
132C22×C4×C13—28no—
133C22×C4×C13—22no—
134C22×C4×C13—22no—
135C22×C4×C13—22no—
136C22×C4×C13—22no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13—21no—
142C22×C4×C13—21no—
143C22×C4×C13—21no—
144C22×C4×C13—22no—
145C22×C4×C13—21no—
146C22×C4×C13—22no—
147C22×C4×C13—22no—
148C22×C4×C13—22no—
149C22×C4×C13—48no—
150C22×C4×C13—48no—
151C22×C4×C13—44no—
152C22×C4×C13—44no—
153C22×C4×C13C22×C414yes—
154C22×C4×C13C2×D414yes—
155C22×C4×C13C2×D414yes—
156C22×C4×C13C2×Q814yes—
157C22×Dic13—22no—
158C22×Dic13—22no—
159C22×Dic13—22no—
160C22×Dic13—22no—
161C22×Dic13—22no—
162C22×Dic13—22no—
163C22×Dic13—216no—
164C22×Dic13—28no—
165C22×Dic13—216no—
166C22×Dic13—28no—
167C22×Dic13—28no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—22no—
172C22×Dic13—22no—
173C22×Dic13—22no—
174C22×Dic13—21no—
175C22×Dic13—21no—
176C22×Dic13—21no—
177C22×Dic13—21no—
178C22×Dic13—22no—
179C22×Dic13—21no—
180C22×Dic13—21no—
181C22×Dic13—22no—
182C22×Dic13—22no—
183C22×Dic13—22no—
184C22×Dic13—48no—
185C22×Dic13—48no—
186C22×Dic13—44no—
187C22×Dic13—44no—
188C22×Dic13C4⋊C4116yescomplemented
189C22×Dic13C22×C412yes—
190C22×Dic13C22×C414yes—
191C22×Dic13C22×C412yes—
192C22×Dic13C2×D414yes—
193C22×Dic13C2×D412yes—
194C22×Dic13C2×D414yes—
195C22×Dic13C2×D412yes—
196C22×Dic13C2×D414yes—
197C22×Dic13C2×Q812yes—
198C22×Dic13C2×Q814yes—
199C22×Dic13C2×Q812yes—
200C22×Dic13#4114yes—
201C13×C4⋊C4—48no—
202C13×C22⋊C4—44no—
203C13×C22⋊C4C4⋊C4116yescomplemented
204C22⋊Dic13—44no—
205C22⋊Dic13C4⋊C4116yescomplemented
206C4⋊Dic13—48no—
207#6101—216no—
208#6101—216no—
209#6101—48no—
210#6101—48no—
211#6101—44no—
212#6101—44no—
213C4×Dic13—216no—
214C23×C4⋊C4—131no—
215C2×#385—131no—
216C2×#385—131no—
217C2×#385—131no—
218C2×#385D1311yescharacteristic
219C2×#384—132no—
220C2×#380—131no—
221C2×C4×C22⋊C4—131no—
222#1444—132no—
223#1444—132no—
224C4⋊#95—132no—
225C23×C13—24no—
226C23×C13—24no—
227C23×C13—22no—
228C23×C13—24no—
229C23×C13—22no—
230C23×C13—22no—
231C23×C13—22no—
232C23×C13—24no—
233C23×C13—24no—
234C23×C13—24no—
235C23×C13—24no—
236C23×C13—24no—
237C23×C13—24no—
238C23×C13—24no—
239C23×C13—24no—
240C23×C13—24no—
241C23×C13C2×C4⋊C414yes—
242C23×C13C2×C4⋊C414yes—
243C23×C13C2×C4⋊C414yes—
244C23×C13#12714yes—
245C23×C13C4⋊Q814yes—
246C23×C13C4⋊Q814yes—
247C23×C13C4⋊Q814yes—
248C23×C13C23×C411yescharacteristic
249C23×C13C22×D411yescharacteristic
250C23×C13C22×D411yescharacteristic
251C23×C13C22×D411yescharacteristic
252C23×C13C22×D412yes—
253C23×C13C22×Q811yescharacteristic
254C23×C13C22×Q811yescharacteristic
255C23×C13C22×Q811yescharacteristic
256C23×C13C2×#4112yes—
257C23×C13H(5,𝔽2)12yes—
258C23×C132−1+412yes—
259C2×C4×C13—24no—
260C2×C4×C13—24no—
261C2×C4×C13—24no—
262C2×C4×C13—24no—
263C2×C4×C13—24no—
264C2×C4×C13—24no—
265C2×C4×C13—24no—
266C2×C4×C13—24no—
267C2×C4×C13—24no—
268C2×C4×C13—416no—
269C2×C4×C13—42no—
270C2×C4×C13—42no—
271C2×C4×C13—42no—
272C2×C4×C13—42no—
273C2×C4×C13—41no—
274C2×C4×C13—41no—
275C2×C4×C13—41no—
276C2×C4×C13—41no—
277C2×C4×C13—41no—
278C2×C4×C13—41no—
279C2×C4×C13—42no—
280C2×C4×C13—42no—
281C2×C4×C13—42no—
282C2×C4×C13—42no—
283C2×C4×C13C2×C4⋊C418yescomplemented
284C2×Dic13—24no—
285C2×Dic13—24no—
286C2×Dic13—24no—
287C2×Dic13—22no—
288C2×Dic13—24no—
289C2×Dic13—22no—
290C2×Dic13—24no—
291C2×Dic13—24no—
292C2×Dic13—24no—
293C2×Dic13—24no—
294C2×Dic13—232no—
295C2×Dic13—24no—
296C2×Dic13—24no—
297C2×Dic13—24no—
298C2×Dic13—416no—
299C2×Dic13—42no—
300C2×Dic13—42no—
301C2×Dic13—42no—
302C2×Dic13—42no—
303C2×Dic13—41no—
304C2×Dic13—41no—
305C2×Dic13—41no—
306C2×Dic13—41no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—42no—
310C2×Dic13—42no—
311C2×Dic13—42no—
312C2×Dic13—42no—
313C2×Dic13C2×C4⋊C414yes—
314C2×Dic13C2×C4⋊C414yes—
315C2×Dic13C2×C4⋊C418yescomplemented
316C2×Dic13C4×D418yes—
317C2×Dic13#12014yes—
318C2×Dic13C22⋊Q818yes—
319C2×Dic13#12314yes—
320C24×C4—131no—
321C24×C4—131no—
322C24×C4C2×D1311yescharacteristic
323C22×C4⋊C4—132no—
324C22×C4⋊C4—132no—
325C22×C4⋊C4—131no—
326C22×C4⋊C4—131no—
327C22×C4⋊C4—132no—
328C22×C4⋊C4—132no—
329C22×C4⋊C4—132no—
330C22×C4⋊C4—268no—
331C22×C4⋊C4—264no—
332C22×C4⋊C4C2×D1312yes—
333C22×C22⋊C4—131no—
334C22×C22⋊C4—131no—
335C22×C22⋊C4C2×D1311yescharacteristic
336C22×C22⋊C4C2×D1311yescharacteristic
337C22×C42—132no—
338#385—24no—
339#385—264no—
340#385—264no—
341#385—264no—
342#384—268no—
343#380—264no—
344C4×C22⋊C4—138no—
345C2×#95—132no—
346C2×#95—132no—
347C2×#95—132no—
348C2×#95—132no—
349C2×#95—131no—
350C2×#95—131no—
351C2×#95C2×D1312yes—
352C22×C13—24no—
353C22×C13—28no—
354C22×C13—28no—
355C22×C13—24no—
356C22×C13—24no—
357C22×C13—28no—
358C22×C13—28no—
359C22×C13—24no—
360C22×C13—24no—
361C22×C13—24no—
362C22×C13#38418yescomplemented
363C22×C13C22×C4⋊C411yescharacteristic
364C22×C13C22×C4⋊C411yescharacteristic
365C22×C13C22×C4⋊C411yescharacteristic
366C22×C13C2×C4×D412yes—
367C22×C13#52012yes—
368C22×C13C2×#12011yescharacteristic
369C22×C13C2×C22⋊Q812yes—
370C22×C13C2×#12311yescharacteristic
371C22×C13C2×#12711yescharacteristic
372C22×C13C2×C4⋊Q811yescharacteristic
373C22×C13C2×C4⋊Q811yescharacteristic
374C22×C13C2×C4⋊Q811yescharacteristic
375C22×C13#53511yescharacteristic
376C22×C13#53611yescharacteristic
377C22×C13#54412yes—
378C22×C13D4212yes—
379C22×C13D4212yes—
380C22×C13#54712yes—
381C22×C13#54712yes—
382C22×C13D4×Q812yes—
383C22×C13D4×Q812yes—
384C22×C13#55412yes—
385C22×C13#55412yes—
386C4×C13—28no—
387C4×C13—44no—
388C4×C13—81no—
389C4×C13—81no—
390Dic13—28no—
391Dic13—24no—
392Dic13—44no—
393Dic13—81no—
394Dic13—81no—
395Dic13#38518yescomplemented
396C25C22×D1311yescharacteristic
397C23×C4—22no—
398C23×C4—24no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—42no—
402C23×C4—131no—
403C23×C4—134no—
404C23×C4—134no—
405C23×C4—134no—
406C23×C4—132no—
407C23×C4—131no—
408C23×C4—132no—
409C23×C4—131no—
410C23×C4—131no—
411C23×C4—264no—
412C23×C4—264no—
413C23×C4—264no—
414C23×C4—262no—
415C23×C4—262no—
416C23×C4—262no—
417C23×C4—522no—
418C23×C4C22×D1311yescharacteristic
419C23×C4C22×D1311yescharacteristic
420C23×C4C22×D1312yes—
421C23×C4C22×D1312yes—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—42no—
425C2×C4⋊C4—138no—
426C2×C4⋊C4—264no—
427C2×C4⋊C4—264no—
428C2×C4⋊C4—264no—
429C2×C4⋊C4—264no—
430C2×C4⋊C4—2632no—
431C2×C4⋊C4—264no—
432C2×C4⋊C4—264no—
433C2×C4⋊C4—262no—
434C2×C4⋊C4—262no—
435C2×C4⋊C4—264no—
436C2×C4⋊C4—264no—
437C2×C4⋊C4—264no—
438C2×C4⋊C4—264no—
439C2×C4⋊C4—264no—
440C2×C4⋊C4—264no—
441C2×C4⋊C4—264no—
442C2×C4⋊C4—522no—
443C2×C4⋊C4—522no—
444C2×C4⋊C4—522no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—134no—
449C2×C22⋊C4—134no—
450C2×C22⋊C4—134no—
451C2×C22⋊C4—262no—
452C2×C22⋊C4—262no—
453C2×C22⋊C4—262no—
454C2×C22⋊C4Dic2614yes—
455C2×C22⋊C4C4×D1314yes—
456C2×C22⋊C4C22⋊D1314yes—
457C2×C42—138no—
458C2×C42—264no—
459C2×C42—264no—
460#95—24no—
461#95—138no—
462#95—262no—
463#95—262no—
464#95—264no—
465#95—264no—
466#95—264no—
467C2×C13—28no—
468C2×C13C2×#38411yescharacteristic
469C2×C13C2×#38511yescharacteristic
470C2×C13#231711yescharacteristic
471C2×C13D4×C4⋊C412yes—
472C2×C13D4×C4⋊C412yes—
473C2×C13#243311yescharacteristic
474C2×C13#243411yescharacteristic
475C2×C13#244012yes—
476C2×C13#244012yes—
477C2×C13#250111yescharacteristic
478C2×C13#250211yescharacteristic
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24C2×Dic2612yes—
484C24C2×C4×D1312yes—
485C24D4×D1312yes—
486C24D4×D1312yes—
487C24Q8×D1312yes—
488C24Q8×D1312yes—
489C24C2×C22⋊D1312yes—
490C24C23×D1311yescharacteristic
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—28no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—132no—
517C22×C4—134no—
518C22×C4—132no—
519C22×C4—132no—
520C22×C4—134no—
521C22×C4—1316no—
522C22×C4—132no—
523C22×C4—134no—
524C22×C4—134no—
525C22×C4—132no—
526C22×C4—134no—
527C22×C4—132no—
528C22×C4—134no—
529C22×C4—268no—
530C22×C4—2616no—
531C22×C4—2616no—
532C22×C4—268no—
533C22×C4—262no—
534C22×C4—262no—
535C22×C4—262no—
536C22×C4—262no—
537C22×C4—262no—
538C22×C4—262no—
539C22×C4—268no—
540C22×C4—262no—
541C22×C4—262no—
542C22×C4—262no—
543C22×C4—262no—
544C22×C4—262no—
545C22×C4—262no—
546C22×C4—261no—
547C22×C4—261no—
548C22×C4—261no—
549C22×C4—261no—
550C22×C4—262no—
551C22×C4—262no—
552C22×C4—262no—
553C22×C4—262no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—528no—
557C22×C4—528no—
558C22×C4—524no—
559C22×C4—524no—
560C22×C4C2×Dic2614yes—
561C22×C4C2×C4×D1314yes—
562C22×C4D4×D1314yes—
563C22×C4C2×C22⋊D1314yes—
564C4⋊C4—48no—
565C4⋊C4—2616no—
566C4⋊C4—2616no—
567C4⋊C4—528no—
568C4⋊C4—528no—
569C4⋊C4—524no—
570C4⋊C4—524no—
571C4⋊C4—528no—
572C22⋊C4—44no—
573C22⋊C4—1316no—
574C22⋊C4—524no—
575C22⋊C4#6101116yescomplemented
576C42—2616no—
577C13#1388011yescharacteristic, complemented, Sylow
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—22no—
585C23—24no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23#8814214yes—
595C23#8814214yes—
596C23C4⋊C4×D1314yes—
597C23C4⋊C4×D1314yes—
598C23C2×#610114yes—
599C23#8819414yes—
600C23#8819814yes—
601C23C22×Dic2611yescharacteristic
602C23C22×C4×D1311yescharacteristic
603C23C2×D4×D1311yescharacteristic
604C23C2×D4×D1311yescharacteristic
605C23C2×D4×D1312yes—
606C23#8825112yes—
607C23C2×Q8×D1311yescharacteristic
608C23C2×Q8×D1311yescharacteristic
609C23#41×D1312yes—
610C23#8825712yes—
611C23C22×C22⋊D1311yescharacteristic
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—416no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—134no—
637C2×C4—138no—
638C2×C4—134no—
639C2×C4—138no—
640C2×C4—134no—
641C2×C4—138no—
642C2×C4—134no—
643C2×C4—2632no—
644C2×C4—264no—
645C2×C4—264no—
646C2×C4—264no—
647C2×C4—262no—
648C2×C4—264no—
649C2×C4—264no—
650C2×C4—264no—
651C2×C4—264no—
652C2×C4—262no—
653C2×C4—264no—
654C2×C4—264no—
655C2×C4—264no—
656C2×C4—264no—
657C2×C4—5216no—
658C2×C4—522no—
659C2×C4—522no—
660C2×C4—522no—
661C2×C4—522no—
662C2×C4—522no—
663C2×C4—521no—
664C2×C4—521no—
665C2×C4—522no—
666C2×C4—521no—
667C2×C4—522no—
668C2×C4—521no—
669C2×C4—521no—
670C2×C4—521no—
671C2×C4—522no—
672C2×C4C2×#610118yescomplemented
673C22—24no—
674C22—24no—
675C22—24no—
676C22—28no—
677C22—28no—
678C22—24no—
679C22—28no—
680C22—28no—
681C22—24no—
682C22—24no—
683C22#1171863718yescomplemented
684C22C2×#8814211yescharacteristic
685C22C2×#8814211yescharacteristic
686C22C2×C4⋊C4×D1311yescharacteristic
687C22C2×C4⋊C4×D1311yescharacteristic
688C22D4×Dic2612yes—
689C22#1171924412yes—
690C22C4×D4×D1312yes—
691C22#1171925112yes—
692C22D13×#12011yescharacteristic
693C22#1171929512yes—
694C22#1171929711yescharacteristic
695C22#1171932812yes—
696C22D13×C22⋊Q812yes—
697C22#1171933712yes—
698C22#1171934112yes—
699C22#1171935311yescharacteristic
700C22D13×#12311yescharacteristic
701C22#1171936012yes—
702C22C22×#610111yescharacteristic
703C22D4×C22⋊D1312yes—
704C22C2×#8819411yescharacteristic
705C22C2×#8819811yescharacteristic
706C22#1171952912yes—
707C4—28no—
708C4—44no—
709C4—81no—
710C4—81no—
711C4—138no—
712C4—268no—
713C4—264no—
714C4—524no—
715C4—1041no—
716C4—1041no—
717C2—28no—
718C2C2×#1171863711yescharacteristic
719C2D13×#38511yescharacteristic
720C2#1311745511yescharacteristic
721C2D4×#610112yes—
722C2#1311773412yes—
723C2#1311847111yescharacteristic
724C2#1311847811yescharacteristic
725C2#1311853512yes—
726C2#1311853712yes—
727C2#1311930511yescharacteristic
728C2#1311931211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC2×C13×#385C2
socle, cosocleC24×C13C24
prime radicalC25×C13C23
hypercenterC2×#385D13
hypocenterC13#13880
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
5. C2×#11718637C2semidirect
8. #13113100C2semidirect
9. #13113099C2semidirect
10. #13113064C2semidirect
43. C22⋊C4×Dic13C4semidirect
107. C2×C4×Dic13C2×C4semidirect
114. #88071C2×C4semidirect
188. C22×Dic13C4⋊C4semidirect
203. C13×C22⋊C4C4⋊C4semidirect
205. C22⋊Dic13C4⋊C4semidirect
283. C2×C4×C13C2×C4⋊C4semidirect
315. C2×Dic13C2×C4⋊C4semidirect
362. C22×C13#384semidirect
395. Dic13#385semidirect
575. C22⋊C4#6101semidirect
577. C13#13880semidirect
672. C2×C4C2×#6101semidirect
683. C22#11718637semidirect

Maximal subgroups

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

subgroupindex
C23×#61012
C2×#117186112
C2×#117188712
C2×#117186072
C2×#117186372
C2×#117186032
C2×C22⋊C4×Dic132
#131131002
#131130992
#131130642
C2×C13×#3852
#1388013