Finite Group Databasebeta

← #13128865

Subgroups — #13128865

Order 1664.

1252 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#546C211yesmaximal, characteristic, complemented
2#11719539C211yesmaximal, characteristic, complemented
3#11719533C211yesmaximal, characteristic, complemented
4D4×C22⋊D13C211yesmaximal, characteristic, complemented
5C2×#88192C211yesmaximal, characteristic, complemented
6#11719385C211yesmaximal, characteristic, complemented
7#11719381C211yesmaximal, characteristic, complemented
8#11719366C212yesmaximal, complemented
9#11719362C212yesmaximal, complemented
10#11719340C211yesmaximal, characteristic, complemented
11#11719332C211yesmaximal, characteristic, complemented
12#11719321C211yesmaximal, characteristic, complemented
13#11719320C212yesmaximal, complemented
14#11719317C212yesmaximal, complemented
15D13×#121C211yesmaximal, characteristic, complemented
16#11719298C212yesmaximal, complemented
17#11719295C212yesmaximal, complemented
18#11719270C211yesmaximal, characteristic, complemented
19#11719263C211yesmaximal, characteristic, complemented
20#11719253C211yesmaximal, characteristic, complemented
21C4×D4×D13C211yesmaximal, characteristic, complemented
22#11719195C212yesmaximal, complemented
23#11719191C212yesmaximal, complemented
24C2×C13×#41C2211yescharacteristic, complemented
25C22×D4×C13C2211yescharacteristic, complemented
26C22×C22⋊D13C2212yes—
27C22×C22⋊D13C2212yescomplemented
28C2×#6131C2211yescharacteristic, complemented
29C2×D4×D13C2211yescharacteristic
30C2×D4×D13C2211yescharacteristic, complemented
31C2×D4×D13C2212yescomplemented
32C2×#6127C2212yescomplemented
33C22×C4×D13C2211yescharacteristic, complemented
34C22×C4×D13C2211yescharacteristic, complemented
35C13×#124C2211yescharacteristic, complemented
36C13×#123C2212yescomplemented
37C13×C22⋊Q8C2211yescharacteristic, complemented
38C13×#121C2211yescharacteristic, complemented
39C13×#121C2212yescomplemented
40C13×#120C2212yescomplemented
41C4×D4×C13C2211yescharacteristic, complemented
42C4×D4×C13C2211yescharacteristic, complemented
43C2×C13×C22⋊C4C2212yescomplemented
44#88207C2212yescomplemented
45C2×C22⋊Dic13C2212yescomplemented
46#88200C2211yescharacteristic, complemented
47#88200C2211yescharacteristic, complemented
48Q8×Dic13C2211yescharacteristic, complemented
49#88194C2211yescharacteristic, complemented
50#88194C2212yescomplemented
51#88193C2212yescomplemented
52#88193C2212yescomplemented
53#88193C2212yescomplemented
54#88193C2212yescomplemented
55#88192C2211yescharacteristic
56#88192C2211yescharacteristic, complemented
57#88192C2211yescharacteristic, complemented
58#88192C2212yescomplemented
59#88192C2212yescomplemented
60#88192C2211yescharacteristic, complemented
61#88192C2211yescharacteristic, complemented
62#88192C2212yescomplemented
63#88191C2212yescomplemented
64#88191C2212yescomplemented
65#88190C2212yescomplemented
66#88189C2212yescomplemented
67D4×Dic13C2211yescharacteristic, complemented
68D4×Dic13C2211yescharacteristic, complemented
69#88184C2212yescomplemented
70#88184C2211yescharacteristic, complemented
71#88184C2211yescharacteristic, complemented
72#88183C2212yescomplemented
73C4×C22⋊D13C2211yescharacteristic
74C4×C22⋊D13C2212yescomplemented
75C4×C22⋊D13C2212yescomplemented
76C4×C22⋊D13C2212yescomplemented
77C4×C22⋊D13C2212yescomplemented
78C4×C22⋊D13C2212yescomplemented
79C4×C22⋊D13C2211yescharacteristic, complemented
80#88180C2211yescharacteristic, complemented
81C2×C4⋊Dic13C2211yescharacteristic, complemented
82#88152C2212yescomplemented
83#88151C2212yescomplemented
84#88149C2211yescharacteristic, complemented
85#88148C2212yescomplemented
86#88147C2211yescharacteristic, complemented
87#88147C2212yescomplemented
88#88146C2211yescharacteristic, complemented
89C4⋊C4×D13C2211yescharacteristic, complemented
90C4⋊C4×D13C2211yescharacteristic, complemented
91#88143C2212yescomplemented
92#88142C2211yescharacteristic, complemented
93#88139C2212yescomplemented
94#88139C2212yescomplemented
95#88138C2212yescomplemented
96#88138C2212yescomplemented
97#88138C2212yescomplemented
98#88138C2212yescomplemented
99#88137C2212yescomplemented
100#88137C2212yescomplemented
101#88137C2212yescomplemented
102#88136C2212yescomplemented
103#88136C2212yescomplemented
104#88135C2211yescharacteristic
105#88135C2212yes—
106#88135C2212yescomplemented
107#88135C2212yescomplemented
108#88135C2211yescharacteristic, complemented
109#88135C2212yescomplemented
110C22⋊C4×D13C2212yescomplemented
111C22⋊C4×D13C2212yescomplemented
112C22⋊C4×D13C2211yescharacteristic, complemented
113C22⋊C4×D13C2211yescharacteristic, complemented
114#88133C2212yescomplemented
115#88133C2212yescomplemented
116#88132C2212yescomplemented
117#88131C2212yescomplemented
118#88131C2212yescomplemented
119C4×D52C2211yescharacteristic, complemented
120C4×D52C2211yescharacteristic, complemented
121C42×D13C2211yescharacteristic, complemented
122#88124C2211yescharacteristic, complemented
123C24×C13C2312yes—
124C23×D13C2311yescharacteristic
125C23×D13C2311yescharacteristic
126C23×D13C2312yes—
127C13×#41—42no—
128C2×Q8×C13C2311yescharacteristic
129C2×D4×C13—42no—
130C2×D4×C13C2311yescharacteristic
131C2×D4×C13C2311yescharacteristic
132C2×D4×C13C2311yescharacteristic
133C2×D4×C13C2312yes—
134C2×D4×C13C2312yes—
135C2×D4×C13C2312yes—
136C22×C4×C13C2311yescharacteristic
137C22×C4×C13C2311yescharacteristic
138C22×C4×C13C2312yes—
139C22×C4×C13C2312yes—
140C2×C22⋊D13—28no—
141C2×C22⋊D13—44no—
142C2×C22⋊D13C2312yes—
143C2×C22⋊D13C2312yes—
144C2×C22⋊D13C2311yescharacteristic
145C2×C22⋊D13C2312yes—
146C2×C22⋊D13C2312yes—
147C2×C22⋊D13C2312yes—
148C2×C22⋊D13C2312yes—
149C2×C22⋊D13C2312yes—
150C2×C22⋊D13C2312yes—
151C2×C22⋊D13C2312yes—
152C2×C22⋊D13C2312yes—
153C2×C22⋊D13C2311yescharacteristic
154C22×Dic13C2312yes—
155C22×Dic13C2312yes—
156C22×Dic13C2311yescharacteristic
157C22×Dic13C2311yescharacteristic
158#6131—42no—
159D4×D13—24no—
160D4×D13—42no—
161D4×D13—44no—
162#6127—44no—
163C2×D52C2311yescharacteristic
164C2×D52C2311yescharacteristic
165C2×D52C2312yes—
166C2×D52C2312yes—
167C2×C4×D13—42no—
168C2×C4×D13—42no—
169C2×C4×D13C2311yescharacteristic
170C2×C4×D13C2311yescharacteristic
171C2×C4×D13C2311yescharacteristic
172C2×C4×D13C2311yescharacteristic
173C2×C4×D13C2311yescharacteristic
174C2×C4×D13C2312yes—
175C2×C4×D13C2311yescharacteristic
176C2×C4×D13C2312yes—
177C2×C4×D13C2312yes—
178C2×C4×D13C2311yescharacteristic
179C2×C4×D13C2311yescharacteristic
180C2×C4×D13C2311yescharacteristic
181C2×Dic26C2312yes—
182C13×C4⋊C4C2311yescharacteristic
183C13×C4⋊C4C2312yes—
184C13×C4⋊C4C2311yescharacteristic
185C13×C22⋊C4C2312yes—
186C13×C22⋊C4C2312yes—
187C13×C22⋊C4C2312yes—
188C13×C22⋊C4C2312yes—
189C13×C22⋊C4C2312yes—
190C13×C22⋊C4C2311yescharacteristic
191C13×C22⋊C4C2311yescharacteristic
192C42×C13C2311yescharacteristic
193C22⋊Dic13C2312yes—
194C22⋊Dic13C2312yes—
195C22⋊Dic13C2311yescharacteristic
196C22⋊Dic13C2312yes—
197C22⋊Dic13C2312yes—
198C22⋊Dic13C2312yes—
199C22⋊Dic13C2311yescharacteristic
200C22⋊Dic13C2312yes—
201C22⋊Dic13C2312yes—
202#6103C2311yescharacteristic
203#6103C2311yescharacteristic
204#6103C2312yes—
205#6103C2312yes—
206#6103C2312yes—
207#6103C2312yes—
208#6103C2311yescharacteristic
209#6103C2311yescharacteristic
210#6103C2312yes—
211#6103C2312yes—
212#6103C2312yes—
213C4⋊Dic13C2311yescharacteristic
214C4⋊Dic13C2311yescharacteristic
215C4⋊Dic13C2311yescharacteristic
216C4⋊Dic13C2311yescharacteristic
217C4⋊Dic13C2312yes—
218C4⋊Dic13C2312yes—
219#6101C2312yes—
220#6101C2312yes—
221#6101C2311yescharacteristic
222#6101C2312yes—
223#6101C2312yes—
224#6101C2312yes—
225#6101C2312yes—
226#6101C2311yescharacteristic
227C4×Dic13C2311yescharacteristic
228C4×Dic13C2311yescharacteristic
229C4×Dic13C2311yescharacteristic
230C4×Dic13C2312yes—
231C4×Dic13C2312yes—
232C4×Dic13C2312yes—
233#3519—131nomaximal, Sylow
234C23×C13—24no—
235C23×C13—42no—
236C23×C13—42no—
237C23×C13C2412yes—
238C23×C13C2411yescharacteristic
239C23×C13C2412yes—
240C23×C13C2411yescharacteristic
241C22×D13—22no—
242C22×D13—22no—
243C22×D13—22no—
244C22×D13—22no—
245C22×D13—24no—
246C22×D13—41no—
247C22×D13—41no—
248C22×D13—42no—
249C22×D13—42no—
250C22×D13C2411yescharacteristic
251C22×D13C2412yes—
252C22×D13C2411yescharacteristic
253C22×D13C2411yescharacteristic
254Q8×C13—22no—
255D4×C13—22no—
256D4×C13—22no—
257D4×C13—22no—
258D4×C13—42no—
259D4×C13—42no—
260D4×C13—42no—
261C2×C4×C13—22no—
262C2×C4×C13—22no—
263C2×C4×C13—42no—
264C2×C4×C13—42no—
265C2×C4×C13C2411yescharacteristic
266C2×C4×C13C2411yescharacteristic
267C2×C4×C13C2412yes—
268C2×C4×C13C2411yescharacteristic
269C2×C4×C13C2412yes—
270C2×C4×C13C2411yescharacteristic
271C2×C4×C13C2411yescharacteristic
272C22⋊D13—24no—
273C22⋊D13—24no—
274C22⋊D13—24no—
275C22⋊D13—24no—
276C22⋊D13—22no—
277C22⋊D13—24no—
278C22⋊D13—42no—
279C22⋊D13—42no—
280C22⋊D13—42no—
281C22⋊D13—42no—
282C22⋊D13—42no—
283C22⋊D13#4114yescomplemented
284C2×Dic13—24no—
285C2×Dic13—41no—
286C2×Dic13—41no—
287C2×Dic13—42no—
288C2×Dic13C2412yes—
289C2×Dic13C2411yescharacteristic
290C2×Dic13C2411yescharacteristic
291C2×Dic13C2411yescharacteristic
292C2×Dic13C2412yes—
293C2×Dic13C2412yes—
294C2×Dic13C2411yescharacteristic
295C2×Dic13C2411yescharacteristic
296D52—22no—
297D52—24no—
298D52—22no—
299D52—42no—
300C4×D13—22no—
301C4×D13—22no—
302C4×D13—22no—
303C4×D13—22no—
304C4×D13—22no—
305C4×D13—41no—
306C4×D13—41no—
307C4×D13—41no—
308C4×D13—41no—
309C4×D13—42no—
310C4×D13—42no—
311C4×D13—42no—
312Dic26—42no—
313#555—131no—
314#554—131no—
315#553—132no—
316#553—131no—
317#553—131no—
318#550—131no—
319#546—131no—
320#546—132no—
321#546—132no—
322#546D1311yescharacteristic, complemented
323D42—131no—
324D42—132no—
325#540—132no—
326#538—132no—
327#538—132no—
328#532—131no—
329#529—131no—
330#525—131no—
331#525—131no—
332C2×#121—131no—
333C2×#121—131no—
334#518—132no—
335C2×C4×D4—131no—
336C22×C13—21no—
337C22×C13—21no—
338C22×C13—22no—
339C22×C13—22no—
340C22×C13—21no—
341C22×C13—21no—
342C22×C13—22no—
343C22×C13—22no—
344C22×C13—21no—
345C22×C13—22no—
346C22×C13—22no—
347C22×C13—84no—
348C22×C13C2×#4112yes—
349C22×C13C2511yescharacteristic
350C2×D13—21no—
351C2×D13—21no—
352C2×D13—21no—
353C2×D13—21no—
354C2×D13—21no—
355C2×D13—22no—
356C2×D13—21no—
357C2×D13—22no—
358C2×D13—22no—
359C2×D13—21no—
360C2×D13—44no—
361C2×D13—44no—
362C2×D13—84no—
363C2×D13C2×#4112yes—
364C2×D13H(5,𝔽2)12yes—
365C4×C13—21no—
366C4×C13—22no—
367C4×C13—21no—
368C4×C13—21no—
369C4×C13—21no—
370C4×C13—22no—
371C4×C13H(5,𝔽2)12yes—
372Dic13—22no—
373Dic13—21no—
374Dic13—22no—
375Dic13—21no—
376Dic13—21no—
377Dic13—21no—
378Dic13—22no—
379Dic13C2×#4112yes—
380C2×#41—131no—
381C2×#41—132no—
382C2×#41C2×D1311yescharacteristic, complemented
383C22×D4—132no—
384C22×D4—132no—
385C22×D4—131no—
386C22×D4—131no—
387C22×D4—132no—
388C22×D4C2×D1311yescharacteristic, complemented
389C23×C4—131no—
390C23×C4—131no—
391C4⋊Q8—131no—
392#127—131no—
393#127—132no—
394#126—132no—
395#126—132no—
396#126—132no—
397#125—132no—
398#125—131no—
399#124—132no—
400#124—132no—
401#124—132no—
402#124C2×D1311yescharacteristic, complemented
403#123—132no—
404#123—132no—
405#123—132no—
406#123—132no—
407#123—132no—
408#123—132no—
409#123C2×D1312yescomplemented
410C22⋊Q8—131no—
411C22⋊Q8—131no—
412C22⋊Q8—132no—
413C22⋊Q8—132no—
414C22⋊Q8C2×D1311yescharacteristic, complemented
415#121—131no—
416#121—131no—
417#121—132no—
418#121—132no—
419#121—132no—
420#121—131no—
421#121—131no—
422#121—131no—
423#121—132no—
424#121—132no—
425#121—132no—
426#121—132no—
427#121—131no—
428#121—131no—
429#121—132no—
430#121—131no—
431#121—132no—
432#121—132no—
433#121—132no—
434#121—132no—
435#121C2×D1311yescharacteristic, complemented
436#121C2×D1312yescomplemented
437#120—132no—
438#120—132no—
439#120—132no—
440#120—132no—
441#120—132no—
442#120C2×D1312yescomplemented
443C4×Q8—131no—
444C4×D4—131no—
445C4×D4—131no—
446C4×D4—131no—
447C4×D4—131no—
448C4×D4—132no—
449C4×D4—132no—
450C4×D4—132no—
451C4×D4—132no—
452C4×D4—132no—
453C4×D4—131no—
454C4×D4—132no—
455C4×D4—131no—
456C4×D4—131no—
457C4×D4—132no—
458C4×D4—132no—
459C4×D4—132no—
460C4×D4—132no—
461C4×D4—131no—
462C4×D4—131no—
463C4×D4C2×D1311yescharacteristic, complemented
464C4×D4C2×D1311yescharacteristic, complemented
465#117—131no—
466#117—131no—
467#117—132no—
468#117—132no—
469C2×C4⋊C4—131no—
470C2×C4⋊C4—131no—
471C2×C4⋊C4—131no—
472C2×C22⋊C4—132no—
473C2×C22⋊C4—131no—
474C2×C22⋊C4—131no—
475C2×C22⋊C4—132no—
476C2×C22⋊C4—132no—
477C2×C22⋊C4C2×D1312yescomplemented
478C2×C42—131no—
479C2×C13—22no—
480C2×C13—41no—
481C2×C13—42no—
482C2×C13—42no—
483C2×C13C22×#4111yescharacteristic
484C2×C13C2×H(5,𝔽2)11yescharacteristic
485C2×C13C2×H(5,𝔽2)11yescharacteristic
486D13—22no—
487D13—22no—
488D13—41no—
489D13—42no—
490C24—131no—
491C24—131no—
492C24—132no—
493C24C22×D1312yes—
494#41—42no—
495#41—524no—
496#41—522no—
497C2×Q8—132no—
498C2×Q8C22×D1311yescharacteristic
499C2×D4—42no—
500C2×D4—131no—
501C2×D4—132no—
502C2×D4—132no—
503C2×D4—131no—
504C2×D4—132no—
505C2×D4—132no—
506C2×D4—132no—
507C2×D4—132no—
508C2×D4—132no—
509C2×D4—132no—
510C2×D4—132no—
511C2×D4—132no—
512C2×D4—131no—
513C2×D4—132no—
514C2×D4—131no—
515C2×D4—132no—
516C2×D4—264no—
517C2×D4—268no—
518C2×D4—522no—
519C2×D4—524no—
520C2×D4—524no—
521C2×D4C22×D1311yescharacteristic
522C2×D4C22×D1311yescharacteristic
523C2×D4C22×D1311yescharacteristic
524C2×D4C22×D1312yes—
525C2×D4C22×D1312yes—
526C2×D4C22×D1312yes—
527C22×C4—132no—
528C22×C4—131no—
529C22×C4—132no—
530C22×C4—131no—
531C22×C4—131no—
532C22×C4—131no—
533C22×C4—131no—
534C22×C4—131no—
535C22×C4—131no—
536C22×C4—131no—
537C22×C4—131no—
538C22×C4—131no—
539C22×C4—132no—
540C22×C4—132no—
541C22×C4—132no—
542C22×C4—131no—
543C22×C4—522no—
544C22×C4—522no—
545C22×C4C22×D1311yescharacteristic
546C22×C4C22×D1311yescharacteristic
547C22×C4C22×D1312yes—
548C22×C4C22×D1312yes—
549C4⋊C4—131no—
550C4⋊C4—131no—
551C4⋊C4—131no—
552C4⋊C4—131no—
553C4⋊C4—131no—
554C4⋊C4—132no—
555C4⋊C4—132no—
556C4⋊C4—131no—
557C4⋊C4—132no—
558C4⋊C4—132no—
559C4⋊C4—132no—
560C4⋊C4—132no—
561C4⋊C4—132no—
562C4⋊C4—132no—
563C4⋊C4C22×D1311yescharacteristic
564C4⋊C4C22×D1311yescharacteristic
565C4⋊C4C22×D1312yes—
566C22⋊C4—132no—
567C22⋊C4—132no—
568C22⋊C4—131no—
569C22⋊C4—132no—
570C22⋊C4—132no—
571C22⋊C4—131no—
572C22⋊C4—132no—
573C22⋊C4—132no—
574C22⋊C4—132no—
575C22⋊C4—131no—
576C22⋊C4—131no—
577C22⋊C4—132no—
578C22⋊C4—132no—
579C22⋊C4—131no—
580C22⋊C4—132no—
581C22⋊C4—131no—
582C22⋊C4—132no—
583C22⋊C4—132no—
584C22⋊C4—132no—
585C22⋊C4—132no—
586C22⋊C4C22×D1311yescharacteristic
587C22⋊C4C22×D1312yes—
588C22⋊C4C22×D1312yes—
589C22⋊C4C22×D1311yescharacteristic
590C22⋊C4C22×D1312yes—
591C22⋊C4C22×D1312yes—
592C22⋊C4C22×D1312yes—
593C42—131no—
594C42—131no—
595C42—131no—
596C42—132no—
597C42—132no—
598C42—132no—
599C42C22×D1311yescharacteristic
600C13#351911yescharacteristic, complemented, Sylow
601C23—24no—
602C23—42no—
603C23—42no—
604C23—131no—
605C23—131no—
606C23—131no—
607C23—132no—
608C23—262no—
609C23—262no—
610C23—262no—
611C23—264no—
612C23—262no—
613C23—521no—
614C23—521no—
615C23—522no—
616C23—522no—
617C23C23×D1312yes—
618C23C23×D1311yescharacteristic
619C23C23×D1312yes—
620C23C23×D1311yescharacteristic
621Q8—22no—
622Q8—522no—
623D4—22no—
624D4—22no—
625D4—22no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—134no—
630D4—262no—
631D4—264no—
632D4—262no—
633D4—264no—
634D4—264no—
635D4—264no—
636D4—264no—
637D4—264no—
638D4—262no—
639D4—522no—
640D4—522no—
641D4—522no—
642D4—522no—
643D4—522no—
644D4—522no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—131no—
650C2×C4—132no—
651C2×C4—131no—
652C2×C4—131no—
653C2×C4—131no—
654C2×C4—132no—
655C2×C4—132no—
656C2×C4—131no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—264no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—521no—
664C2×C4—521no—
665C2×C4—521no—
666C2×C4—521no—
667C2×C4—522no—
668C2×C4—522no—
669C2×C4—522no—
670C2×C4—521no—
671C2×C4—521no—
672C2×C4—522no—
673C2×C4C23×D1311yescharacteristic
674C2×C4C23×D1311yescharacteristic
675C2×C4C23×D1311yescharacteristic
676C2×C4C23×D1312yes—
677C2×C4C23×D1312yes—
678C2×C4C23×D1311yescharacteristic
679C2×C4C23×D1311yescharacteristic
680C22—21no—
681C22—21no—
682C22—21no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—21no—
687C22—22no—
688C22—22no—
689C22—21no—
690C22—22no—
691C22—84no—
692C22—132no—
693C22—132no—
694C22—261no—
695C22—261no—
696C22—261no—
697C22—261no—
698C22—261no—
699C22—262no—
700C22—261no—
701C22—262no—
702C22—262no—
703C22—261no—
704C22—524no—
705C22—524no—
706C22—1044no—
707C22#41×D1312yes—
708C22C24×D1311yescharacteristic
709C4—21no—
710C4—21no—
711C4—22no—
712C4—21no—
713C4—21no—
714C4—22no—
715C4—132no—
716C4—261no—
717C4—261no—
718C4—261no—
719C4—262no—
720C4—261no—
721C4—262no—
722C4—262no—
723C4#8825112yes—
724C2—22no—
725C2—42no—
726C2—42no—
727C2—41no—
728C2—262no—
729C2—262no—
730C2—521no—
731C2—522no—
732C2C2×#8825111yescharacteristic
733C2C2×#41×D1311yescharacteristic
734C2D13×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C24×D13
commutator, socle, cosocleC22×C13C25
FittingC13×#546C2
hypercenter#546D13
hypocenterC13#3519
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #546

Complements

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

NH ≅ G/Ntype
1. C13×#546C2semidirect
2. #11719539C2semidirect
3. #11719533C2semidirect
4. D4×C22⋊D13C2semidirect
5. C2×#88192C2semidirect
6. #11719385C2semidirect
7. #11719381C2semidirect
8. #11719366C2semidirect
9. #11719362C2semidirect
10. #11719340C2semidirect
11. #11719332C2semidirect
12. #11719321C2semidirect
13. #11719320C2semidirect
14. #11719317C2semidirect
15. D13×#121C2semidirect
16. #11719298C2semidirect
17. #11719295C2semidirect
18. #11719270C2semidirect
19. #11719263C2semidirect
20. #11719253C2semidirect
21. C4×D4×D13C2semidirect
22. #11719195C2semidirect
23. #11719191C2semidirect
24. C2×C13×#41C22semidirect
25. C22×D4×C13C22semidirect
27. C22×C22⋊D13C22semidirect
28. C2×#6131C22semidirect
30. C2×D4×D13C22semidirect
31. C2×D4×D13C22semidirect
32. C2×#6127C22semidirect
33. C22×C4×D13C22semidirect
34. C22×C4×D13C22semidirect
35. C13×#124C22semidirect
36. C13×#123C22semidirect
37. C13×C22⋊Q8C22semidirect
38. C13×#121C22semidirect
39. C13×#121C22semidirect
40. C13×#120C22semidirect
41. C4×D4×C13C22semidirect
42. C4×D4×C13C22semidirect
43. C2×C13×C22⋊C4C22semidirect
44. #88207C22semidirect
45. C2×C22⋊Dic13C22semidirect
46. #88200C22semidirect
47. #88200C22semidirect
48. Q8×Dic13C22semidirect
49. #88194C22semidirect
50. #88194C22semidirect
51. #88193C22semidirect
52. #88193C22semidirect
53. #88193C22semidirect
54. #88193C22semidirect
56. #88192C22semidirect
57. #88192C22semidirect
58. #88192C22semidirect
59. #88192C22semidirect
60. #88192C22semidirect
61. #88192C22semidirect
62. #88192C22semidirect
63. #88191C22semidirect
64. #88191C22semidirect
65. #88190C22semidirect
66. #88189C22semidirect
67. D4×Dic13C22semidirect
68. D4×Dic13C22semidirect
69. #88184C22semidirect
70. #88184C22semidirect
71. #88184C22semidirect
72. #88183C22semidirect
74. C4×C22⋊D13C22semidirect
75. C4×C22⋊D13C22semidirect
76. C4×C22⋊D13C22semidirect
77. C4×C22⋊D13C22semidirect
78. C4×C22⋊D13C22semidirect
79. C4×C22⋊D13C22semidirect
80. #88180C22semidirect
81. C2×C4⋊Dic13C22semidirect
82. #88152C22semidirect
83. #88151C22semidirect
84. #88149C22semidirect
85. #88148C22semidirect
86. #88147C22semidirect
87. #88147C22semidirect
88. #88146C22semidirect
89. C4⋊C4×D13C22semidirect
90. C4⋊C4×D13C22semidirect
91. #88143C22semidirect
92. #88142C22semidirect
93. #88139C22semidirect
94. #88139C22semidirect
95. #88138C22semidirect
96. #88138C22semidirect
97. #88138C22semidirect
98. #88138C22semidirect
99. #88137C22semidirect
100. #88137C22semidirect
101. #88137C22semidirect
102. #88136C22semidirect
103. #88136C22semidirect
106. #88135C22semidirect
107. #88135C22semidirect
108. #88135C22semidirect
109. #88135C22semidirect
110. C22⋊C4×D13C22semidirect
111. C22⋊C4×D13C22semidirect
112. C22⋊C4×D13C22semidirect
113. C22⋊C4×D13C22semidirect
114. #88133C22semidirect
115. #88133C22semidirect
116. #88132C22semidirect
117. #88131C22semidirect
118. #88131C22semidirect
119. C4×D52C22semidirect
120. C4×D52C22semidirect
121. C42×D13C22semidirect
122. #88124C22semidirect
283. C22⋊D13#41semidirect
322. #546D13semidirect
382. C2×#41C2×D13semidirect
388. C22×D4C2×D13semidirect
402. #124C2×D13semidirect
409. #123C2×D13semidirect
414. C22⋊Q8C2×D13semidirect
435. #121C2×D13semidirect
436. #121C2×D13semidirect
442. #120C2×D13semidirect
463. C4×D4C2×D13semidirect
464. C4×D4C2×D13semidirect
477. C2×C22⋊C4C2×D13semidirect
600. C13#3519semidirect

Maximal subgroups

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

subgroupindex
C13×#5462
#117195392
#117195332
D4×C22⋊D132
C2×#881922
#117193852
#117193812
#117193662
#117193622
#117193402
#117193322
#117193212
#117193202
#117193172
D13×#1212
#117192982
#117192952
#117192702
#117192632
#117192532
C4×D4×D132
#117191952
#117191912
#351913