Finite Group Databasebeta

← #16800229

Subgroups — #16800229

Order 3328.

876 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13131331C211yesmaximal, characteristic, complemented
2#13131275C211yesmaximal, characteristic
3#13131015C211yesmaximal, characteristic, complemented
4#13130949C211yesmaximal, characteristic, complemented
5#13130899C211yesmaximal, characteristic, complemented
6#13130898C211yesmaximal, characteristic, complemented
7#13130801C211yesmaximal, characteristic
8#13130799C211yesmaximal, characteristic
9#13130706C211yesmaximal, characteristic
10#13130652C211yesmaximal, characteristic, complemented
11#106×#261C211yesmaximal, characteristic, complemented
12#13130625C211yesmaximal, characteristic, complemented
13#13130607C211yesmaximal, characteristic
14#102×#261C211yesmaximal, characteristic
15D13×#476C211yesmaximal, characteristic
16C2×D4×#261C2211yescharacteristic
17C2×D4×#261C2211yescharacteristic
18D13×C4⋊Q8C2211yescharacteristic
19C4×D4×D13C2211yescharacteristic
20(C2×#261)⋊Q8—21no—
21(C2×#261)⋊Q8—21no—
22C2×#88115C2211yescharacteristic
23C2×#88115C2211yescharacteristic
24C4×C22⋊#261—21no—
25C2×(C2×#261)⋊C4—21no—
26C2×#88102C2211yescharacteristic
27C2×#88101C2211yescharacteristic
28C2×#88100C2211yescharacteristic
29C2×C8×#261C2211yescharacteristic
30#11719083C2211yescharacteristic
31#11719083C2211yescharacteristic
32#11719082—21no—
33#11719082—21no—
34C4⋊C4×#261C2211yescharacteristic
35C4⋊C4×#261C2211yescharacteristic
36C4⋊C4×#261C2211yescharacteristic
37C4⋊C4×#261C2211yescharacteristic
38C22⋊C4×#261—21no—
39C22⋊C4×#261—21no—
40#11719060C2211yescharacteristic
41C4×C4⋊#261C2211yescharacteristic
42#11719057C2211yescharacteristic
43D13⋊(C4⋊C8)C2211yescharacteristic
44C13×#476C411yescharacteristic, complemented
45#11718745C411yescharacteristic, complemented
46#11718669C411yescharacteristic, complemented
47#11718531C411yescharacteristic, complemented
48#11718531C411yescharacteristic, complemented
49D13×#106C2211yescharacteristic
50D13×#106C2211yescharacteristic
51#11718503C411yescharacteristic, complemented
52D13×C4⋊C8C2211yescharacteristic
53D13×#102C2211yescharacteristic
54D13×#102C2211yescharacteristic
55#11718422C411yescharacteristic, complemented
56#11718422C411yescharacteristic, complemented
57#11718265C2211yescharacteristic
58#11718265C2211yescharacteristic
59(C2×#261)⋊C8C2211yescharacteristic
60(C2×#261)⋊C8C2211yescharacteristic
61#11718246C2211yescharacteristic
62#11718246C2211yescharacteristic
63#11718246C2211yescharacteristic
64#11718246C2211yescharacteristic
65#11718246C2211yescharacteristic
66#11718246C2211yescharacteristic
67C23×#261—21no—
68C23×#261—21no—
69C2×Q8×D13—21no—
70C2×D4×D13C2311yescharacteristic
71C22×C4×D13—21no—
72C2×C22⋊#261—21no—
73C2×C22⋊#261—21no—
74D4×#261—22no—
75D4×#261—22no—
76D4×#261—22no—
77D4×#261Q814yescomplemented
78C2×C4⋊#261—21no—
79C2×C4⋊#261—21no—
80C2×C4⋊#261C2311yescharacteristic
81C2×C4⋊#261C2311yescharacteristic
82C2×C4⋊#261C2311yescharacteristic
83C2×C4⋊#261C2311yescharacteristic
84C2×C4×#261—21no—
85C2×C4×#261—21no—
86C2×C4×#261—21no—
87C2×C4×#261—21no—
88C2×C4×#261—21no—
89C2×C4×#261C2311yescharacteristic
90C2×C4×#261C2311yescharacteristic
91C2×D13⋊C8C2311yescharacteristic
92C2×D13⋊C8C2311yescharacteristic
93C13×C4⋊Q8C2×C411yescharacteristic, complemented
94C4×D4×C13C2×C411yescharacteristic
95#88198—21no—
96D4×Dic13C2×C411yescharacteristic
97C4×C22⋊D13—21no—
98C2×C8×D13C2311yescharacteristic
99C2×C8×D13C2311yescharacteristic
100#88147C2×C411yescharacteristic
101C4⋊C4×D13—21no—
102C4⋊C4×D13C2311yescharacteristic
103C4⋊C4×D13C2311yescharacteristic
104C4⋊C4×D13C2311yescharacteristic
105#88142—21no—
106#88142C2×C411yescharacteristic, complemented
107#88142C2×C411yescharacteristic, complemented
108#88135—21no—
109C22⋊C4×D13—21no—
110C4×D52C2×C411yescharacteristic
111C42×D13C2311yescharacteristic
112#88123C2×C411yescharacteristic, complemented
113#88115—22no—
114#88115—22no—
115(C2×#261)⋊C4—21no—
116(C2×#261)⋊C4—21no—
117(C2×#261)⋊C4—21no—
118(C2×#261)⋊C4—21no—
119(C2×#261)⋊C4—21no—
120(C2×#261)⋊C4—21no—
121(C2×#261)⋊C4—21no—
122(C2×#261)⋊C4—21no—
123(C2×#261)⋊C4—21no—
124(C2×#261)⋊C4D411yescharacteristic
125(C2×#261)⋊C4D411yescharacteristic
126(C2×#261)⋊C4D411yescharacteristic
127(C2×#261)⋊C4D411yescharacteristic
128#88112—21no—
129C4⋊#1057—21no—
130#88102—22no—
131#88101—22no—
132#88100—22no—
133C8×#261—22no—
134C13×#106C2×C411yescharacteristic, complemented
135C13×#106C2×C411yescharacteristic, complemented
136C13×C4⋊C8C2×C411yescharacteristic, complemented
137C13×#102C2×C411yescharacteristic
138C13×#102C2×C411yescharacteristic
139#88072C2×C411yescharacteristic
140#88072C2×C411yescharacteristic
141#88061C2×C411yescharacteristic
142#88061C2×C411yescharacteristic
143#88057C2×C411yescharacteristic, complemented
144#88057C2×C411yescharacteristic, complemented
145#88054C2×C411yescharacteristic, complemented
146#88054C2×C411yescharacteristic, complemented
147#88049C2×C411yescharacteristic
148#88049C2×C411yescharacteristic
149#88048C2×C411yescharacteristic, complemented
150#88048C2×C411yescharacteristic, complemented
151#88048C2×C411yescharacteristic, complemented
152#88048C2×C411yescharacteristic, complemented
153C4⋊#1055C2×C411yescharacteristic, complemented
154#21623—131nomaximal, Sylow
155C23×D13—21no—
156C22×#261—21no—
157C22×#261—21no—
158C22×#261—24no—
159C22×#261—24no—
160C22×#261—21no—
161C22×#261—21no—
162C22×#261—81no—
163C22×#261—81no—
164C22×#261—81no—
165C22×#261—81no—
166C22×#261C2×D411yescharacteristic
167C22×#261C2×D411yescharacteristic
168C22×#261C2×D411yescharacteristic
169C22×#261C2×D411yescharacteristic
170C2×Q8×C13—21no—
171C2×D4×C13C22×C411yescharacteristic
172C22×C4×C13—21no—
173C2×C22⋊D13—21no—
174C22×Dic13—21no—
175Q8×D13—81no—
176Q8×D13—81no—
177D4×D13—21no—
178D4×D13—21no—
179D4×D13C2×Q812yes—
180D4×D13#4112yes—
181C2×D52C22×C411yescharacteristic
182C2×C4×D13—21no—
183C2×C4×D13—21no—
184C2×C4×D13—21no—
185C2×C4×D13—21no—
186C2×C4×D13—21no—
187C2×C4×D13—81no—
188C2×C4×D13—81no—
189C2×C4×D13C2×D411yescharacteristic
190C2×C4×D13C2×D411yescharacteristic
191C2×C4×D13C2411yescharacteristic
192C2×Dic26—21no—
193C2×Dic26—21no—
194C2×Dic26—21no—
195C22⋊#261—24no—
196C22⋊#261—24no—
197C2×#1057—21no—
198C2×#1057—21no—
199C4⋊#261—21no—
200C4⋊#261—21no—
201C4⋊#261—21no—
202C4⋊#261—21no—
203C4⋊#261—21no—
204C4⋊#261—21no—
205C4⋊#261—81no—
206C4⋊#261—81no—
207C4⋊#261C2×Q812yes—
208C4⋊#261#4112yes—
209C4×#261—21no—
210C4×#261—21no—
211C4×#261—81no—
212C4×#261—81no—
213C4×#261—81no—
214C4×#261—81no—
215C4×#261—81no—
216C4×#261C2×Q812yes—
217C4×#261#4112yes—
218D13⋊C8—21no—
219D13⋊C8—21no—
220D13⋊C8—21no—
221D13⋊C8—21no—
222C2×C8×C13C22×C411yescharacteristic
223C2×C8×C13C22×C411yescharacteristic
224C13×C4⋊C4—21no—
225C13×C4⋊C4C22×C411yescharacteristic
226C13×C4⋊C4C22×C411yescharacteristic
227C13×C4⋊C4C22×C411yescharacteristic
228C13×C22⋊C4—21no—
229C42×C13C22×C411yescharacteristic
230C22⋊Dic13—21no—
231#6103—21no—
232#6103—21no—
233C4⋊Dic13—21no—
234C4⋊Dic13C22×C411yescharacteristic
235C4⋊Dic13C22×C411yescharacteristic
236C4⋊Dic13C22×C411yescharacteristic
237#6101—21no—
238#6101—21no—
239#6101—21no—
240#6101—21no—
241#6101—21no—
242C4×Dic13C22×C411yescharacteristic
243C4×Dic13#4111yescharacteristic
244C4×Dic13#4111yescharacteristic
245C2×#1055C22×C411yescharacteristic
246C2×#1055C22×C411yescharacteristic
247C8×D13—21no—
248C8×D13—21no—
249C8×D13—21no—
250C8×D13—21no—
251C2×#476—131no—
252#2331—131no—
253#2275—131no—
254#1988—131no—
255#1949—131no—
256#1920—131no—
257#1919—131no—
258#1864—131no—
259#1862—131no—
260#1804—131no—
261#1776—131no—
262C4×#106—131no—
263#1768—131no—
264#1762—131no—
265C4×#102—131no—
266C23×C13—21no—
267C22×D13—21no—
268C22×D13—22no—
269C22×D13—22no—
270C22×D13—41no—
271C22×D13—41no—
272C22×D13—41no—
273C22×D13—41no—
274C22×D13C22×D411yescharacteristic
275C2×#261—21no—
276C2×#261—21no—
277C2×#261—21no—
278C2×#261—21no—
279C2×#261—22no—
280C2×#261—21no—
281C2×#261—21no—
282C2×#261—22no—
283C2×#261—21no—
284C2×#261—21no—
285C2×#261—21no—
286C2×#261—21no—
287C2×#261—41no—
288C2×#261—41no—
289C2×#261—41no—
290C2×#261—41no—
291C2×#261—41no—
292C2×#261—41no—
293C2×#261—41no—
294C2×#261—41no—
295C2×#261—41no—
296C2×#261—41no—
297C2×#261—84no—
298C2×#261—84no—
299C2×#261C22⋊Q812yes—
300C2×#261C22⋊Q812yes—
301Q8×C13—81no—
302D4×C13—21no—
303D4×C13C4×Q812yes—
304C2×C4×C13—21no—
305C2×C4×C13—21no—
306C2×C4×C13—21no—
307C2×C4×C13—81no—
308C2×C4×C13C4×D411yescharacteristic
309C2×C4×C13C4×D411yescharacteristic
310C2×C4×C13C23×C411yescharacteristic
311C22⋊D13—22no—
312C22⋊D13—22no—
313C2×Dic13—21no—
314C2×Dic13—21no—
315C2×Dic13—21no—
316C2×Dic13—81no—
317C2×Dic13C4×D411yescharacteristic
318C2×Dic13C4×D411yescharacteristic
319C2×Dic13C2×#4111yescharacteristic
320D52—21no—
321D52C4×Q812yes—
322C4×D13—21no—
323C4×D13—21no—
324C4×D13—21no—
325C4×D13—21no—
326C4×D13—41no—
327C4×D13—41no—
328C4×D13—41no—
329C4×D13—41no—
330C4×D13—41no—
331C4×D13—41no—
332C4×D13—81no—
333C4×D13—81no—
334C4×D13C22×Q811yescharacteristic
335C4×D13C2×#4111yescharacteristic
336C4×D13C2×#4111yescharacteristic
337C4×D13C2×#4111yescharacteristic
338Dic26—81no—
339Dic26—81no—
340Dic26—81no—
341#1057—41no—
342#1057—41no—
343C8×C13—21no—
344C8×C13—21no—
345#1055—21no—
346#1055—21no—
347C2×C4⋊Q8—131no—
348C2×C4×D4—131no—
349C2×C4×D4—131no—
350C2×C4×D4—131no—
351#476—131no—
352#476—131no—
353#476—131no—
354#476—131no—
355#476—131no—
356#476—131no—
357#476—131no—
358#476#26111yescharacteristic, complemented
359C2×#107—131no—
360C2×#106—131no—
361C2×#106—131no—
362C2×#106—131no—
363C2×C4⋊C8—131no—
364C2×C4⋊C8—131no—
365C2×#102—131no—
366C2×#102—131no—
367C2×#102—131no—
368C2×#102—131no—
369C2×#97—131no—
370C2×C4×C8—131no—
371#391—261no—
372#391—261no—
373#389—131no—
374#389—131no—
375#387—261no—
376#387—261no—
377#382—131no—
378C4×C4⋊C4—131no—
379C4×C4⋊C4—131no—
380C4×C4⋊C4—131no—
381C4×C4⋊C4—131no—
382C4×C4⋊C4—131no—
383C4×C22⋊C4—261no—
384C4×C22⋊C4—261no—
385C4×C22⋊C4—261no—
386#376—131no—
387C2×#95—261no—
388#340—131no—
389#340—131no—
390#340—131no—
391#340—131no—
392#340—131no—
393#340—131no—
394#340—131no—
395#340—131no—
396#336—131no—
397#336—131no—
398C22×C13—22no—
399C22×C13—41no—
400C22×C13—41no—
401C22×C13C2×C4×D411yescharacteristic
402C2×D13—22no—
403C2×D13—41no—
404C2×D13—41no—
405C2×D13—42no—
406C2×D13—42no—
407C2×D13—42no—
408C2×D13—42no—
409C2×D13C2×C22⋊Q811yescharacteristic
410C2×D13#52511yescharacteristic
411C2×D13#57611yescharacteristic
412C2×D13#57711yescharacteristic
413C2×D13#57711yescharacteristic
414C2×D13#57711yescharacteristic
415#261—22no—
416#261—22no—
417#261—42no—
418#261—41no—
419#261—42no—
420#261—41no—
421#261—81no—
422#261—81no—
423C4×C13—21no—
424C4×C13—21no—
425C4×C13—41no—
426C4×C13—41no—
427C4×C13—41no—
428C4×C13C2×C4×Q811yescharacteristic
429C4×C13C4×#4111yescharacteristic
430Dic13—21no—
431Dic13—21no—
432Dic13—41no—
433Dic13—41no—
434Dic13—41no—
435Dic13#52911yescharacteristic
436Dic13#53311yescharacteristic
437C22×Q8—261no—
438C22×D4—131no—
439C23×C4—261no—
440C23×C4—261no—
441C23×C4—261no—
442C22×C8—131no—
443C22×C8—131no—
444C22×C8—131no—
445C22×C8—131no—
446C4⋊Q8—131no—
447C4⋊Q8—131no—
448C4⋊Q8—131no—
449C4⋊Q8—261no—
450C4⋊Q8—261no—
451C4⋊Q8C2×#26111yescharacteristic, complemented
452C4×D4—134no—
453C4×D4—131no—
454C4×D4—131no—
455C4×D4—131no—
456C4×D4—261no—
457C4×D4—261no—
458C4×D4—262no—
459C4×D4—262no—
460C4×D4—262no—
461C4×D4C2×#26111yescharacteristic
462C2×C4⋊C4—131no—
463C2×C4⋊C4—131no—
464C2×C4⋊C4—131no—
465C2×C4⋊C4—131no—
466C2×C4⋊C4—131no—
467C2×C4⋊C4—131no—
468C2×C4⋊C4—131no—
469C2×C4⋊C4—261no—
470C2×C4⋊C4—261no—
471C2×C4⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C22⋊C4—261no—
474C2×C22⋊C4—261no—
475C2×C42—131no—
476C2×C42—131no—
477C2×C42—131no—
478C2×C42—261no—
479C2×C42—261no—
480C2×C42—261no—
481C2×C42—261no—
482C2×C42—261no—
483#107—262no—
484#106—131no—
485#106—131no—
486#106—131no—
487#106—131no—
488#106—131no—
489#106—131no—
490#106—262no—
491#106C2×#26111yescharacteristic, complemented
492#106C2×#26111yescharacteristic, complemented
493C4⋊C8—131no—
494C4⋊C8—131no—
495C4⋊C8—131no—
496C4⋊C8—261no—
497C4⋊C8—261no—
498C4⋊C8C2×#26111yescharacteristic, complemented
499#102—131no—
500#102—131no—
501#102—131no—
502#102—131no—
503#102—131no—
504#102—131no—
505#102—262no—
506#102—262no—
507#102C2×#26111yescharacteristic
508#102C2×#26111yescharacteristic
509#97—262no—
510C4×C8—262no—
511#95—131no—
512#95—131no—
513#95—131no—
514#95—131no—
515#95—261no—
516#95—261no—
517#95—261no—
518#95—261no—
519#95—261no—
520#95—261no—
521#95—261no—
522#95—261no—
523#95—261no—
524C2×C13—42no—
525C2×C13C4×C22⋊Q811yescharacteristic
526C2×C13#294611yescharacteristic
527C2×C13#294911yescharacteristic
528D13—42no—
529D13#308111yescharacteristic
530D13#308411yescharacteristic
531D13#311811yescharacteristic
532D13#312511yescharacteristic
533C24—261no—
534C2×Q8—21no—
535C2×Q8—261no—
536C2×Q8—261no—
537C2×Q8—261no—
538C2×Q8—1041no—
539C2×Q8—1041no—
540C2×D4—132no—
541C2×D4—132no—
542C2×D4—131no—
543C2×D4—261no—
544C2×D4—261no—
545C2×D4—261no—
546C2×D4C22×#26111yescharacteristic
547C22×C4—21no—
548C22×C4—131no—
549C22×C4—131no—
550C22×C4—131no—
551C22×C4—131no—
552C22×C4—131no—
553C22×C4—131no—
554C22×C4—131no—
555C22×C4—261no—
556C22×C4—261no—
557C22×C4—261no—
558C22×C4—261no—
559C22×C4—261no—
560C22×C4—264no—
561C22×C4—261no—
562C22×C4—261no—
563C22×C4—264no—
564C22×C4—261no—
565C22×C4—261no—
566C22×C4—261no—
567C22×C4—1041no—
568C22×C4—1041no—
569C22×C4—1041no—
570C22×C4—1041no—
571C22×C4—1041no—
572C22×C4—1041no—
573C2×C8—131no—
574C2×C8—131no—
575C2×C8—261no—
576C2×C8—261no—
577C2×C8—261no—
578C2×C8—261no—
579C2×C8—261no—
580C2×C8—261no—
581C2×C8—261no—
582C2×C8—261no—
583C2×C8—261no—
584C2×C8—261no—
585C2×C8C22×#26111yescharacteristic
586C2×C8C22×#26111yescharacteristic
587C4⋊C4—21no—
588C4⋊C4—132no—
589C4⋊C4—132no—
590C4⋊C4—131no—
591C4⋊C4—131no—
592C4⋊C4—131no—
593C4⋊C4—261no—
594C4⋊C4—261no—
595C4⋊C4—261no—
596C4⋊C4—261no—
597C4⋊C4—261no—
598C4⋊C4—261no—
599C4⋊C4—261no—
600C4⋊C4—261no—
601C4⋊C4—261no—
602C4⋊C4—261no—
603C4⋊C4—261no—
604C4⋊C4—261no—
605C4⋊C4—1041no—
606C4⋊C4—1041no—
607C4⋊C4C22×#26111yescharacteristic
608C4⋊C4C22×#26111yescharacteristic
609C4⋊C4C22×#26111yescharacteristic
610C22⋊C4—21no—
611C22⋊C4—261no—
612C22⋊C4—261no—
613C22⋊C4—264no—
614C22⋊C4—264no—
615C22⋊C4—261no—
616C42—132no—
617C42—132no—
618C42—131no—
619C42—131no—
620C42—131no—
621C42—261no—
622C42—261no—
623C42—1041no—
624C42—1041no—
625C42—1041no—
626C42—1041no—
627C42—1041no—
628C42C22×#26111yescharacteristic
629C13#2162311yescharacteristic, complemented, Sylow
630C23—21no—
631C23—131no—
632C23—262no—
633C23—262no—
634C23—261no—
635C23—521no—
636C23—521no—
637C23—521no—
638C23—521no—
639Q8—81no—
640Q8—1041no—
641Q8—1041no—
642Q8—1041no—
643D4—21no—
644D4—132no—
645D4—262no—
646D4—262no—
647D4—261no—
648D4Q8×#26112yes—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—81no—
653C2×C4—131no—
654C2×C4—131no—
655C2×C4—131no—
656C2×C4—131no—
657C2×C4—131no—
658C2×C4—132no—
659C2×C4—132no—
660C2×C4—131no—
661C2×C4—131no—
662C2×C4—261no—
663C2×C4—261no—
664C2×C4—261no—
665C2×C4—261no—
666C2×C4—261no—
667C2×C4—261no—
668C2×C4—261no—
669C2×C4—261no—
670C2×C4—261no—
671C2×C4—261no—
672C2×C4—261no—
673C2×C4—262no—
674C2×C4—262no—
675C2×C4—261no—
676C2×C4—261no—
677C2×C4—261no—
678C2×C4—261no—
679C2×C4—261no—
680C2×C4—261no—
681C2×C4—521no—
682C2×C4—521no—
683C2×C4—521no—
684C2×C4—521no—
685C2×C4—521no—
686C2×C4—521no—
687C2×C4—521no—
688C2×C4—521no—
689C2×C4—521no—
690C2×C4—521no—
691C2×C4—521no—
692C2×C4—521no—
693C2×C4—521no—
694C2×C4—521no—
695C2×C4—521no—
696C2×C4—521no—
697C2×C4—1041no—
698C2×C4—1041no—
699C2×C4—1041no—
700C2×C4—1044no—
701C2×C4—1044no—
702C2×C4D4×#26111yescharacteristic
703C2×C4D4×#26111yescharacteristic
704C2×C4C23×#26111yescharacteristic
705C8—21no—
706C8—21no—
707C8—261no—
708C8—261no—
709C8—521no—
710C8—521no—
711C22—22no—
712C22—41no—
713C22—41no—
714C22—131no—
715C22—131no—
716C22—131no—
717C22—131no—
718C22—131no—
719C22—131no—
720C22—262no—
721C22—522no—
722C22—522no—
723C22—522no—
724C22—522no—
725C22—521no—
726C22—521no—
727C22C2×D4×#26111yescharacteristic
728C4—21no—
729C4—21no—
730C4—41no—
731C4—41no—
732C4—41no—
733C4—131no—
734C4—131no—
735C4—262no—
736C4—262no—
737C4—261no—
738C4—261no—
739C4—521no—
740C4—521no—
741C4—522no—
742C4—522no—
743C4—521no—
744C4—521no—
745C4—521no—
746C4—1041no—
747C4—1041no—
748C4C2×Q8×#26111yescharacteristic
749C4#41×#26111yescharacteristic
750C2—42no—
751C2—131no—
752C2—131no—
753C2—131no—
754C2—131no—
755C2—522no—
756C2C22⋊Q8×#26111yescharacteristic
757C2#1313159311yescharacteristic
758C2#1313159611yescharacteristic
subgroupG/H
centerC22C2×D4×#261
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC13×#476C4
socleC22×C13C2×C4×D4
prime radicalC2×D4×D13C23
cosocleC2×C4×D13C24
hypercenter#476#261
hypocenterC13#21623
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ #476

Complements

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

NH ≅ G/Ntype
1. #13131331C2semidirect
3. #13131015C2semidirect
4. #13130949C2semidirect
5. #13130899C2semidirect
6. #13130898C2semidirect
10. #13130652C2semidirect
11. #106×#261C2semidirect
12. #13130625C2semidirect
44. C13×#476C4semidirect
45. #11718745C4semidirect
46. #11718669C4semidirect
47. #11718531C4semidirect
48. #11718531C4semidirect
51. #11718503C4semidirect
55. #11718422C4semidirect
56. #11718422C4semidirect
77. D4×#261Q8semidirect
93. C13×C4⋊Q8C2×C4semidirect
106. #88142C2×C4semidirect
107. #88142C2×C4semidirect
112. #88123C2×C4semidirect
134. C13×#106C2×C4semidirect
135. C13×#106C2×C4semidirect
136. C13×C4⋊C8C2×C4semidirect
143. #88057C2×C4semidirect
144. #88057C2×C4semidirect
145. #88054C2×C4semidirect
146. #88054C2×C4semidirect
149. #88048C2×C4semidirect
150. #88048C2×C4semidirect
151. #88048C2×C4semidirect
152. #88048C2×C4semidirect
153. C4⋊#1055C2×C4semidirect
358. #476#261semidirect
451. C4⋊Q8C2×#261semidirect
491. #106C2×#261semidirect
492. #106C2×#261semidirect
498. C4⋊C8C2×#261semidirect
629. C13#21623semidirect

Maximal subgroups

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

subgroupindex
#131313312
#131312752
#131310152
#131309492
#131308992
#131308982
#131308012
#131307992
#131307062
#131306522
#106×#2612
#131306252
#131306072
#102×#2612
D13×#4762
#2162313