Finite Group Databasebeta

← #16738528

Subgroups — #16738528

Order 3328.

2912 conjugacy classes of subgroups.

The subgroup lattice has 2112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719482C211yesmaximal, characteristic, complemented
2C22×#88168C211yesmaximal, characteristic, complemented
3D4×#6131C211yesmaximal, characteristic, complemented
4D13×#546C211yesmaximal, characteristic, complemented
5#13126543C211yesmaximal, characteristic, complemented
6#13126536C211yesmaximal, characteristic, complemented
7#13126518C211yesmaximal, characteristic, complemented
8#13126514C211yesmaximal, characteristic, complemented
9#13126470C211yesmaximal, characteristic, complemented
10#13126461C211yesmaximal, characteristic, complemented
11#13126444C211yesmaximal, characteristic, complemented
12#13126440C211yesmaximal, characteristic, complemented
13#13126378C211yesmaximal, characteristic, complemented
14#13126371C211yesmaximal, characteristic, complemented
15#13126367C211yesmaximal, characteristic, complemented
16#13126360C211yesmaximal, characteristic, complemented
17#13126347C211yesmaximal, characteristic, complemented
18#13126321C211yesmaximal, characteristic, complemented
19#13126317C211yesmaximal, characteristic, complemented
20#13125299C211yesmaximal, characteristic, complemented
21#13124463C211yesmaximal, characteristic, complemented
22#13124450C211yesmaximal, characteristic, complemented
23#13124327C211yesmaximal, characteristic, complemented
24#13124301C211yesmaximal, characteristic, complemented
25#13124095C211yesmaximal, characteristic, complemented
26#13124087C211yesmaximal, characteristic, complemented
27#13124079C211yesmaximal, characteristic, complemented
28#13124064C211yesmaximal, characteristic, complemented
29#13123641C211yesmaximal, characteristic, complemented
30#13123569C211yesmaximal, characteristic, complemented
31C13×#3266C211yesmaximal, characteristic, complemented
32C2×#41×D13C2211yescharacteristic, complemented
33C22×#6131C2211yescharacteristic
34C22×#6131C2211yescharacteristic, complemented
35C22×D4×D13C2211yescharacteristic, complemented
36C2×C13×#137C2211yescharacteristic, complemented
37C22×C13×SD16C2211yescharacteristic, complemented
38D4×Q8×C13C2211yescharacteristic, complemented
39C13×#546C2211yescharacteristic
40#11719534C2211yescharacteristic, complemented
41C2×#88203C2211yescharacteristic, complemented
42#11719522C2211yescharacteristic, complemented
43#11719522C2211yescharacteristic, complemented
44C2×#88196C2211yescharacteristic, complemented
45C22×#6106C2211yescharacteristic, complemented
46#11719511C2211yescharacteristic, complemented
47C22×#6104C2211yescharacteristic, complemented
48#11719482—28no—
49C2×#88173C2211yescharacteristic, complemented
50C2×#88173C2211yescharacteristic, complemented
51C2×#88172C2211yescharacteristic, complemented
52C2×#88172C2211yescharacteristic, complemented
53C2×#88172C2211yescharacteristic, complemented
54C2×#88170C2211yescharacteristic, complemented
55C2×#88170C2211yescharacteristic, complemented
56C2×#88168—28no—
57C2×#88168C2211yescharacteristic
58C2×#88168C2211yescharacteristic
59C2×#88168C2211yescharacteristic, complemented
60C2×#88168C2211yescharacteristic, complemented
61C2×#88168C2211yescharacteristic, complemented
62C2×#88168C2211yescharacteristic, complemented
63C2×#88168C2211yescharacteristic, complemented
64C2×#88168C2211yescharacteristic, complemented
65C2×#88168C2211yescharacteristic, complemented
66C2×#88168C2211yescharacteristic, complemented
67C2×#88162C2211yescharacteristic, complemented
68C2×M16×D13C2211yescharacteristic, complemented
69C22×D104C2211yescharacteristic, complemented
70C22×#6094C2211yescharacteristic, complemented
71#11719431—21no—
72#11719431C2211yescharacteristic, complemented
73#11719430—21no—
74#11719430C2211yescharacteristic, complemented
75#11719381C2211yescharacteristic, complemented
76D13×#124C2211yescharacteristic, complemented
77#11719359—21no—
78D13×#123—21no—
79#11719335—21no—
80#11719335—21no—
81#11719335C2211yescharacteristic, complemented
82#11719335C2211yescharacteristic, complemented
83#11719335C2211yescharacteristic, complemented
84#11719332—21no—
85#11719332—21no—
86#11719332C2211yescharacteristic
87#11719332C2211yescharacteristic, complemented
88D13×C22⋊Q8C2211yescharacteristic, complemented
89#11719317C2211yescharacteristic, complemented
90#11719315—21no—
91D13×#121—21no—
92D13×#121C2211yescharacteristic, complemented
93#11719296—21no—
94D13×#120—21no—
95#11719282C2211yescharacteristic, complemented
96C4×#6131C2211yescharacteristic, complemented
97#11719259C2211yescharacteristic, complemented
98#11719255C2211yescharacteristic
99D4×D52—21no—
100D4×D52C2211yescharacteristic, complemented
101C4×D4×D13—21no—
102C4×D4×D13C2211yescharacteristic
103C4×D4×D13C2211yescharacteristic, complemented
104#11719195—21no—
105C2×C22⋊C4×D13—21no—
106C13×#497C2211yescharacteristic, complemented
107C13×#468C2211yescharacteristic, complemented
108C13×#467C2211yescharacteristic, complemented
109C13×#464C2211yescharacteristic, complemented
110C13×#461C2211yescharacteristic, complemented
111C13×#452C2211yescharacteristic, complemented
112C13×#451C2211yescharacteristic, complemented
113C13×#450C2211yescharacteristic, complemented
114C13×#448C2211yescharacteristic, complemented
115C13×#440C2211yescharacteristic, complemented
116C13×#435C2211yescharacteristic, complemented
117#11718899C2211yescharacteristic, complemented
118#11718889C2211yescharacteristic, complemented
119#11718888C2211yescharacteristic, complemented
120#11718878C2211yescharacteristic, complemented
121#11718852C2211yescharacteristic, complemented
122#11718852C2211yescharacteristic, complemented
123#11718850C2211yescharacteristic, complemented
124#11718848C2211yescharacteristic, complemented
125#11718848C2211yescharacteristic, complemented
126#11718848C2211yescharacteristic, complemented
127#11718846C2211yescharacteristic, complemented
128#11718834C2211yescharacteristic, complemented
129#11718833C2211yescharacteristic, complemented
130#11718833C2211yescharacteristic, complemented
131#11718832C2211yescharacteristic, complemented
132#11718830C2211yescharacteristic, complemented
133#11718830C2211yescharacteristic, complemented
134#11718829C2211yescharacteristic, complemented
135#11718829C2211yescharacteristic, complemented
136#11718827C2211yescharacteristic, complemented
137#11718826C2211yescharacteristic, complemented
138#11718826C2211yescharacteristic, complemented
139SD16×Dic13C2211yescharacteristic, complemented
140#11718796C2211yescharacteristic, complemented
141#11718789C2211yescharacteristic, complemented
142#11718775C2211yescharacteristic, complemented
143C8×C22⋊D13C2211yescharacteristic, complemented
144#11718747C2211yescharacteristic, complemented
145#11718744C2211yescharacteristic, complemented
146#11718719C2211yescharacteristic, complemented
147#11718718C2211yescharacteristic, complemented
148#11718712C2211yescharacteristic, complemented
149#11718710C2211yescharacteristic, complemented
150#11718709C2211yescharacteristic, complemented
151#11718708C2211yescharacteristic, complemented
152#11718707C2211yescharacteristic, complemented
153#11718707C2211yescharacteristic, complemented
154#11718700C2211yescharacteristic, complemented
155#11718697C2211yescharacteristic, complemented
156#11718689C2211yescharacteristic, complemented
157#11718687C2211yescharacteristic, complemented
158#11718676C2211yescharacteristic, complemented
159#11718675C2211yescharacteristic, complemented
160#11718672C2211yescharacteristic, complemented
161#11718547C2211yescharacteristic, complemented
162#11718544C2211yescharacteristic, complemented
163#11718542C2211yescharacteristic, complemented
164#11718533C2211yescharacteristic, complemented
165#11718505C2211yescharacteristic, complemented
166#11718504C2211yescharacteristic, complemented
167#11718498C2211yescharacteristic, complemented
168#11718497C2211yescharacteristic, complemented
169#11718480C2211yescharacteristic, complemented
170#11718480C2211yescharacteristic, complemented
171#11718480C2211yescharacteristic, complemented
172#11718477C2211yescharacteristic, complemented
173#11718473C2211yescharacteristic, complemented
174#11718472C2211yescharacteristic, complemented
175#11718472C2211yescharacteristic, complemented
176#11718472C2211yescharacteristic, complemented
177#11718471C2211yescharacteristic, complemented
178#11718471C2211yescharacteristic, complemented
179#11718468C2211yescharacteristic, complemented
180#11718464C2211yescharacteristic, complemented
181#11718464C2211yescharacteristic, complemented
182#11718464C2211yescharacteristic, complemented
183#11718463C2211yescharacteristic, complemented
184#11718449C2211yescharacteristic, complemented
185#11718448C2211yescharacteristic, complemented
186#11718442C2211yescharacteristic, complemented
187#11718436C2211yescharacteristic, complemented
188#11718434C2211yescharacteristic, complemented
189#11718434C2211yescharacteristic, complemented
190#11718431C2211yescharacteristic, complemented
191#11718431C2211yescharacteristic, complemented
192#11718417C2211yescharacteristic, complemented
193#11718395C2211yescharacteristic, complemented
194#11718393C2211yescharacteristic, complemented
195#11718393C2211yescharacteristic, complemented
196#11718392C2211yescharacteristic, complemented
197#11718390C2211yescharacteristic, complemented
198#11718387C2211yescharacteristic, complemented
199#11718387C2211yescharacteristic, complemented
200#11718386C2211yescharacteristic, complemented
201#11718373C2211yescharacteristic, complemented
202#11718372C2211yescharacteristic, complemented
203#11718368C2211yescharacteristic, complemented
204#11718367C2211yescharacteristic, complemented
205C24×D13—21no—
206C2×C13×#41C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic
208C22×Q8×C13C2311yescharacteristic, complemented
209C22×D4×C13C2311yescharacteristic
210C22×C22⋊D13—21no—
211#41×D13—24no—
212#41×D13—42no—
213C2×#6131—21no—
214C2×#6131—21no—
215C2×#6131—21no—
216C2×#6131—21no—
217C2×#6131—24no—
218C2×#6131—24no—
219C2×#6131—42no—
220C2×#6131—42no—
221C2×#6131C2311yescharacteristic
222C2×#6131C2311yescharacteristic
223C2×#6131C2311yescharacteristic
224C2×#6131C2311yescharacteristic
225C2×#6131C2311yescharacteristic
226C2×#6131C2311yescharacteristic
227C2×#6131C2311yescharacteristic, complemented
228C2×#6131C2311yescharacteristic, complemented
229C2×Q8×D13C2311yescharacteristic
230C2×#6129—21no—
231C2×#6129C2311yescharacteristic
232C2×D4×D13—24no—
233C2×D4×D13—21no—
234C2×D4×D13—21no—
235C2×D4×D13—21no—
236C2×D4×D13—21no—
237C2×D4×D13—21no—
238C2×D4×D13—42no—
239C2×D4×D13D411yescharacteristic
240C2×D4×D13C2311yescharacteristic
241C2×D4×D13C2311yescharacteristic
242C2×D4×D13C2311yescharacteristic
243C2×D4×D13C2311yescharacteristic
244C2×#6127—21no—
245C2×#6127C2311yescharacteristic
246C22×D52—21no—
247C22×D52—21no—
248C22×D52C2311yescharacteristic
249C22×D52C2311yescharacteristic
250C22×D52C2311yescharacteristic, complemented
251C22×C4×D13—21no—
252C22×C4×D13—21no—
253C22×C4×D13—21no—
254C22×C4×D13—21no—
255C22×C4×D13C2311yescharacteristic
256C22×C4×D13C2311yescharacteristic
257C13×#137—24no—
258C2×C13×Q16C2311yescharacteristic, complemented
259C2×C13×Q16C2311yescharacteristic, complemented
260C2×C13×Q16C2311yescharacteristic, complemented
261C2×C13×SD16—24no—
262C2×C13×SD16C2311yescharacteristic
263C2×C13×SD16C2311yescharacteristic
264C2×C13×SD16C2311yescharacteristic
265C2×C13×SD16C2311yescharacteristic
266C2×C13×SD16C2311yescharacteristic
267C2×C13×SD16C2311yescharacteristic
268C2×C13×M16C2311yescharacteristic, complemented
269C22×C8×C13C2311yescharacteristic
270C13×C4⋊Q8—21no—
271C13×C4⋊Q8C2311yescharacteristic, complemented
272C13×#124C2311yescharacteristic
273C13×#123—21no—
274C13×C22⋊Q8—21no—
275C13×C22⋊Q8—21no—
276C13×C22⋊Q8C2311yescharacteristic
277C13×C22⋊Q8C2311yescharacteristic
278C13×C22⋊Q8C2311yescharacteristic, complemented
279C13×#121—21no—
280C13×#121C2311yescharacteristic
281C13×#120—21no—
282C4×Q8×C13C2311yescharacteristic, complemented
283C4×D4×C13—21no—
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C2×C13×C22⋊C4—21no—
287#88207—21no—
288C2×C22⋊Dic13—21no—
289#88203—24no—
290#88201—21no—
291#88201—21no—
292#88201C2311yescharacteristic
293#88201C2311yescharacteristic, complemented
294#88201C2311yescharacteristic, complemented
295#88200—21no—
296#88200—21no—
297#88200C2311yescharacteristic
298#88200C2311yescharacteristic
299#88200C2311yescharacteristic, complemented
300Q8×Dic13C2311yescharacteristic, complemented
301C2×#6107C2311yescharacteristic, complemented
302C2×#6107C2311yescharacteristic, complemented
303C2×#6107C2311yescharacteristic, complemented
304#88196—24no—
305C2×#6106—24no—
306C2×#6106C2311yescharacteristic
307C2×#6106C2311yescharacteristic
308C2×#6106C2311yescharacteristic
309C2×#6106C2311yescharacteristic
310C2×#6106C2311yescharacteristic
311C2×#6106C2311yescharacteristic
312C2×#6106C2311yescharacteristic, complemented
313C2×#6106C2311yescharacteristic, complemented
314C2×#6106C2311yescharacteristic, complemented
315#88193—21no—
316#88193—21no—
317#88193—21no—
318#88192—21no—
319#88192C2311yescharacteristic
320#88191—21no—
321#88191—21no—
322#88191—21no—
323#88190C2311yescharacteristic
324#88189—21no—
325D4×Dic13D411yescharacteristic
326D4×Dic13C2311yescharacteristic
327C2×#6104—24no—
328C2×#6104C2311yescharacteristic
329C2×#6104C2311yescharacteristic
330C2×#6104C2311yescharacteristic
331C2×#6104C2311yescharacteristic
332C2×#6104C2311yescharacteristic
333C2×#6104C2311yescharacteristic
334#88184—21no—
335#88184—21no—
336#88184—21no—
337#88184C2311yescharacteristic
338#88184C2311yescharacteristic
339#88184C2311yescharacteristic, complemented
340#88183—21no—
341C4×C22⋊D13—21no—
342C4×C22⋊D13—21no—
343C4×C22⋊D13—21no—
344C4×C22⋊D13C2311yescharacteristic
345C4×C22⋊D13C2311yescharacteristic
346C2×#6103—21no—
347C2×#6103—21no—
348#88178C2311yescharacteristic
349C2×#6099C2311yescharacteristic, complemented
350C22×#1055C2311yescharacteristic
351#88173—24no—
352#88173—24no—
353#88172—24no—
354#88172—24no—
355#88172—42no—
356#88170—24no—
357#88170—24no—
358#88168—24no—
359#88168—24no—
360#88168—24no—
361#88168—24no—
362#88168—24no—
363#88168—24no—
364#88168—24no—
365#88168—24no—
366#88168—42no—
367#88168D418yescomplemented
368#88162—24no—
369M16×D13—24no—
370C2×D104—24no—
371C2×D104C2311yescharacteristic
372C2×D104C2311yescharacteristic
373C2×D104C2311yescharacteristic
374C2×D104C2311yescharacteristic
375C2×D104C2311yescharacteristic
376C2×D104C2311yescharacteristic
377C2×#6095C2311yescharacteristic, complemented
378C2×#6095C2311yescharacteristic, complemented
379C2×#6095C2311yescharacteristic, complemented
380C2×#6094—24no—
381C2×#6094C2311yescharacteristic
382C2×#6094C2311yescharacteristic
383C2×#6094C2311yescharacteristic
384C2×#6094C2311yescharacteristic
385C2×#6094C2311yescharacteristic
386C2×#6094C2311yescharacteristic
387C2×C8×D13C2311yescharacteristic, complemented
388C2×C8×D13C2311yescharacteristic, complemented
389#88151C2311yescharacteristic
390#88150—21no—
391#88149—21no—
392#88149—21no—
393#88149—21no—
394#88149—21no—
395#88149—21no—
396#88149—21no—
397#88149—21no—
398#88149—21no—
399#88149—21no—
400#88149C2311yescharacteristic
401#88149C2311yescharacteristic
402#88149C2311yescharacteristic, complemented
403#88148—21no—
404#88148—21no—
405#88148—21no—
406#88148—21no—
407#88148—21no—
408#88148—21no—
409#88148—21no—
410#88148—21no—
411#88147—21no—
412#88147—21no—
413#88147—21no—
414#88147—21no—
415#88147—21no—
416#88147D411yescharacteristic
417#88147C2311yescharacteristic
418#88147C2311yescharacteristic, complemented
419#88146—21no—
420#88146C2311yescharacteristic
421C4⋊C4×D13—21no—
422C4⋊C4×D13—21no—
423C4⋊C4×D13D411yescharacteristic
424C4⋊C4×D13C2311yescharacteristic
425#88140—21no—
426#88139—21no—
427#88139—21no—
428#88138—21no—
429#88138—21no—
430#88138—21no—
431#88137—21no—
432#88137—21no—
433#88136—21no—
434#88136—21no—
435#88136—21no—
436#88136—21no—
437#88136—21no—
438#88136—21no—
439#88136—21no—
440#88136—21no—
441#88136—21no—
442#88135—21no—
443#88135—21no—
444#88135—21no—
445#88135D411yescharacteristic
446#88135D411yescharacteristic
447C22⋊C4×D13—21no—
448C22⋊C4×D13—21no—
449C22⋊C4×D13—21no—
450C22⋊C4×D13—21no—
451C22⋊C4×D13—21no—
452C22⋊C4×D13—21no—
453C22⋊C4×D13—21no—
454C22⋊C4×D13—21no—
455C22⋊C4×D13—21no—
456C22⋊C4×D13—21no—
457C22⋊C4×D13—21no—
458C22⋊C4×D13D411yescharacteristic
459C22⋊C4×D13D411yescharacteristic
460#88132—21no—
461#88129C2311yescharacteristic
462#88128—21no—
463#88128C2311yescharacteristic, complemented
464C4×D52—21no—
465C4×D52—21no—
466C4×D52C2311yescharacteristic
467C4×D52C2311yescharacteristic
468C4×D52C2311yescharacteristic, complemented
469C42×D13—21no—
470C42×D13C2311yescharacteristic
471C13×#107C2311yescharacteristic, complemented
472C13×C4⋊C8C2311yescharacteristic, complemented
473C13×#103C2311yescharacteristic, complemented
474C13×#103C2311yescharacteristic, complemented
475C13×#103C2311yescharacteristic, complemented
476C13×#103C2311yescharacteristic, complemented
477C13×#102C2311yescharacteristic
478C13×#102C2311yescharacteristic
479C13×C22⋊C8C2311yescharacteristic
480C13×C22⋊C8C2311yescharacteristic, complemented
481C13×#97C2311yescharacteristic, complemented
482#88075C2311yescharacteristic, complemented
483#88075C2311yescharacteristic, complemented
484#88075C2311yescharacteristic, complemented
485#88075C2311yescharacteristic, complemented
486#88072C2311yescharacteristic
487#88072C2311yescharacteristic
488C22⋊#1055C2311yescharacteristic
489C22⋊#1055C2311yescharacteristic, complemented
490#88061C2311yescharacteristic
491#88061C2311yescharacteristic
492#88061C2311yescharacteristic, complemented
493#88061C2311yescharacteristic, complemented
494#88061C2311yescharacteristic, complemented
495#88060C2311yescharacteristic
496#88060C2311yescharacteristic
497#88060C2311yescharacteristic, complemented
498#88060C2311yescharacteristic, complemented
499#88057C2311yescharacteristic, complemented
500#88056C2311yescharacteristic, complemented
501#88054C2311yescharacteristic, complemented
502#88054C2311yescharacteristic, complemented
503C8×Dic13C2311yescharacteristic, complemented
504C8×Dic13C2311yescharacteristic, complemented
505#88050C2311yescharacteristic, complemented
506#88049C2311yescharacteristic
507#88049C2311yescharacteristic
508#88049C2311yescharacteristic, complemented
509#88049C2311yescharacteristic, complemented
510#88049C2311yescharacteristic, complemented
511#88048C2311yescharacteristic, complemented
512#88047C2311yescharacteristic, complemented
513C4⋊#1055C2311yescharacteristic, complemented
514#88043C2311yescharacteristic, complemented
515#61066—131nomaximal, Sylow
516C24×C13—21no—
517C23×D13—21no—
518C23×D13—21no—
519C23×D13—21no—
520C23×D13—21no—
521C23×D13—21no—
522C23×D13—21no—
523C23×D13—21no—
524C23×D13—44no—
525C23×D13—44no—
526C23×D13—82no—
527C23×D13C2×D411yescharacteristic
528C23×D13C2×D411yescharacteristic
529C13×#41—22no—
530C13×#41—41no—
531C2×Q8×C13—21no—
532C2×Q8×C13—21no—
533C2×Q8×C13—22no—
534C2×Q8×C13—22no—
535C2×Q8×C13—41no—
536C2×Q8×C13—41no—
537C2×Q8×C13C2411yescharacteristic
538C2×Q8×C13C2411yescharacteristic
539C2×Q8×C13C2411yescharacteristic
540C2×Q8×C13C2411yescharacteristic
541C2×D4×C13—22no—
542C2×D4×C13—21no—
543C2×D4×C13—21no—
544C2×D4×C13—21no—
545C2×D4×C13—41no—
546C2×D4×C13C2×D411yescharacteristic
547C2×D4×C13C2411yescharacteristic
548C2×D4×C13C2411yescharacteristic
549C22×C4×C13—21no—
550C22×C4×C13—21no—
551C22×C4×C13—21no—
552C22×C4×C13—21no—
553C22×C4×C13C2411yescharacteristic
554C22×C4×C13C2411yescharacteristic
555C2×C22⋊D13—21no—
556C2×C22⋊D13—21no—
557C2×C22⋊D13—21no—
558C2×C22⋊D13—21no—
559C2×C22⋊D13—21no—
560C2×C22⋊D13—21no—
561C2×C22⋊D13—21no—
562C2×C22⋊D13—21no—
563C2×C22⋊D13—21no—
564C2×C22⋊D13—21no—
565C2×C22⋊D13—44no—
566C2×C22⋊D13C2×D411yescharacteristic
567C2×C22⋊D13C2×D411yescharacteristic
568C22×Dic13—21no—
569C22×Dic13—21no—
570C22×Dic13C2×D411yescharacteristic
571C22×Dic13C2×D411yescharacteristic
572#6131—22no—
573#6131—22no—
574#6131—22no—
575#6131—22no—
576#6131—22no—
577#6131—22no—
578#6131—22no—
579#6131—22no—
580#6131—22no—
581#6131—22no—
582#6131—44no—
583#6131—44no—
584#6131—41no—
585#6131—41no—
586#6131—41no—
587#6131—41no—
588#6131—41no—
589#6131—44no—
590#6131—44no—
591#6131C2×D414yes—
592Q8×D13—22no—
593Q8×D13—22no—
594#6129—22no—
595#6129—41no—
596#6129—44no—
597D4×D13—22no—
598D4×D13—22no—
599D4×D13—22no—
600D4×D13—22no—
601D4×D13—22no—
602D4×D13—41no—
603D4×D13—41no—
604D4×D13—44no—
605D4×D13—44no—
606D4×D13—42no—
607D4×D13—44no—
608D4×D13—44no—
609D4×D13—82no—
610D4×D13C2×D414yescomplemented
611#6127—22no—
612#6127—41no—
613#6127—44no—
614C2×D52—21no—
615C2×D52—22no—
616C2×D52—22no—
617C2×D52—22no—
618C2×D52—21no—
619C2×D52—21no—
620C2×D52—21no—
621C2×D52—21no—
622C2×D52—21no—
623C2×D52—21no—
624C2×D52—21no—
625C2×D52—21no—
626C2×D52—21no—
627C2×D52—21no—
628C2×D52—21no—
629C2×D52—21no—
630C2×D52—21no—
631C2×D52—21no—
632C2×D52—21no—
633C2×D52—41no—
634C2×D52—41no—
635C2×D52—41no—
636C2×D52—44no—
637C2×D52—44no—
638C2×D52C2×D411yescharacteristic
639C2×D52C2411yescharacteristic
640C2×D52C2411yescharacteristic
641C2×D52C2411yescharacteristic
642C2×D52C2411yescharacteristic
643C2×D52C2411yescharacteristic
644C2×C4×D13—21no—
645C2×C4×D13—22no—
646C2×C4×D13—22no—
647C2×C4×D13—22no—
648C2×C4×D13—22no—
649C2×C4×D13—21no—
650C2×C4×D13—21no—
651C2×C4×D13—21no—
652C2×C4×D13—21no—
653C2×C4×D13—21no—
654C2×C4×D13—21no—
655C2×C4×D13—21no—
656C2×C4×D13—21no—
657C2×C4×D13—21no—
658C2×C4×D13—21no—
659C2×C4×D13—21no—
660C2×C4×D13—21no—
661C2×C4×D13—21no—
662C2×C4×D13—21no—
663C2×C4×D13—44no—
664C2×C4×D13—44no—
665C2×C4×D13—44no—
666C2×C4×D13—82no—
667C2×C4×D13C2×D411yescharacteristic
668C2×C4×D13C2×D411yescharacteristic
669C2×C4×D13C2×D411yescharacteristic
670C2×C4×D13C2×D411yescharacteristic
671C2×C4×D13C2×D411yescharacteristic
672C2×C4×D13C2×D411yescharacteristic
673C2×C4×D13C2411yescharacteristic
674C2×C4×D13C2411yescharacteristic
675C2×C4×D13C2411yescharacteristic
676C2×Dic26—21no—
677C2×Dic26C2411yescharacteristic
678C13×Q16—22no—
679C13×Q16—22no—
680C13×Q16—41no—
681C13×SD16—22no—
682C13×SD16—22no—
683C13×SD16—22no—
684C13×SD16—22no—
685C13×SD16—41no—
686C13×SD16C2×D414yescomplemented
687C13×M16—22no—
688C2×C8×C13—22no—
689C2×C8×C13C2411yescharacteristic
690C2×C8×C13C2411yescharacteristic
691C2×C8×C13C2411yescharacteristic
692C2×C8×C13C2411yescharacteristic
693C13×C4⋊C4—21no—
694C13×C4⋊C4—21no—
695C13×C4⋊C4—21no—
696C13×C4⋊C4—21no—
697C13×C4⋊C4—21no—
698C13×C4⋊C4—21no—
699C13×C4⋊C4C2×D411yescharacteristic
700C13×C4⋊C4C2411yescharacteristic
701C13×C4⋊C4C2411yescharacteristic
702C13×C22⋊C4—21no—
703C13×C22⋊C4—21no—
704C13×C22⋊C4—21no—
705C13×C22⋊C4—21no—
706C13×C22⋊C4—21no—
707C13×C22⋊C4—21no—
708C13×C22⋊C4—21no—
709C13×C22⋊C4C2×D411yescharacteristic
710C13×C22⋊C4C2×D411yescharacteristic
711C42×C13—21no—
712C42×C13C2411yescharacteristic
713C22⋊Dic13—21no—
714C22⋊Dic13—21no—
715C22⋊Dic13—21no—
716C22⋊Dic13—21no—
717C22⋊Dic13—21no—
718C22⋊Dic13C2×D411yescharacteristic
719C22⋊Dic13C2×D411yescharacteristic
720#6107—22no—
721#6107—22no—
722#6107—41no—
723#6106—22no—
724#6106—22no—
725#6106—22no—
726#6106—22no—
727#6106—22no—
728#6106—22no—
729#6106—41no—
730#6106—41no—
731#6106C2×D414yescomplemented
732#6104—22no—
733#6104—22no—
734#6104—22no—
735#6104—22no—
736#6104—41no—
737#6104C2×D414yescomplemented
738#6103—21no—
739#6103—21no—
740#6103—21no—
741#6103—21no—
742#6103—21no—
743#6103—21no—
744#6103—21no—
745#6103—21no—
746#6103—21no—
747#6103—21no—
748#6103—21no—
749#6103—21no—
750#6103—21no—
751#6103—21no—
752#6103—21no—
753#6103—21no—
754#6103—21no—
755#6103—21no—
756#6103—21no—
757#6103—21no—
758#6103—21no—
759#6103—21no—
760#6103—21no—
761#6103C2×D411yescharacteristic
762#6103C2×D411yescharacteristic
763#6103C2×D411yescharacteristic
764#6103C2×D411yescharacteristic
765C4⋊Dic13—21no—
766C4⋊Dic13—21no—
767C4⋊Dic13C2×D411yescharacteristic
768C4⋊Dic13C2411yescharacteristic
769C4⋊Dic13C2411yescharacteristic
770#6101—21no—
771#6101—21no—
772#6101—21no—
773#6101—21no—
774#6101—21no—
775#6101C2×D411yescharacteristic
776#6101C2×D411yescharacteristic
777C4×Dic13—21no—
778C4×Dic13—21no—
779C4×Dic13C2×D411yescharacteristic
780C4×Dic13C2×D411yescharacteristic
781C4×Dic13C2411yescharacteristic
782#6099—22no—
783C2×#1055—22no—
784C2×#1055C2411yescharacteristic
785C2×#1055C2411yescharacteristic
786C2×#1055C2411yescharacteristic
787C2×#1055C2411yescharacteristic
788D104—22no—
789D104—22no—
790D104—22no—
791D104—22no—
792D104—41no—
793D104C2×D414yescomplemented
794#6095—22no—
795#6095—22no—
796#6095—41no—
797#6094—22no—
798#6094—22no—
799#6094—22no—
800#6094—22no—
801#6094—22no—
802#6094C2×D414yescomplemented
803C8×D13—22no—
804C8×D13—22no—
805C2×#575—131no—
806C22×AGL(1,ℤ/8)—131no—
807D4×#41—131no—
808C2×#546—131no—
809#3282—131no—
810#3282—131no—
811#3280—131no—
812#3280—131no—
813#3275—131no—
814#3275—131no—
815#3273—131no—
816#3273—131no—
817#3268—131no—
818#3268—131no—
819#3267—131no—
820#3267—131no—
821#3266—131no—
822#3266D1311yescharacteristic, complemented
823#3264—131no—
824#3264—131no—
825#3153—131no—
826#3056—131no—
827#3055—131no—
828#3040—131no—
829#3036—131no—
830#3007—131no—
831#3006—131no—
832#3005—131no—
833#3003—131no—
834C4×AGL(1,ℤ/8)—131no—
835D4×M16—131no—
836C23×C13—21no—
837C23×C13—21no—
838C23×C13—42no—
839C23×C13—42no—
840C23×C13—81no—
841C23×C13C22×D411yescharacteristic
842C23×C13C22×D411yescharacteristic
843C22×D13—22no—
844C22×D13—21no—
845C22×D13—21no—
846C22×D13—22no—
847C22×D13—24no—
848C22×D13—22no—
849C22×D13—21no—
850C22×D13—21no—
851C22×D13—21no—
852C22×D13—41no—
853C22×D13—41no—
854C22×D13—41no—
855C22×D13—42no—
856C22×D13—42no—
857C22×D13—42no—
858C22×D13—42no—
859C22×D13—42no—
860C22×D13—42no—
861C22×D13—42no—
862C22×D13—42no—
863C22×D13—42no—
864C22×D13—42no—
865C22×D13—42no—
866C22×D13—42no—
867C22×D13—42no—
868C22×D13—42no—
869C22×D13—42no—
870C22×D13—81no—
871C22×D13—81no—
872C22×D13—81no—
873C22×D13—81no—
874C22×D13—81no—
875C22×D13—816no—
876C22×D13C22×D411yescharacteristic
877C22×D13C22×D411yescharacteristic
878C22×D13C22×D411yescharacteristic
879Q8×C13—21no—
880Q8×C13—21no—
881Q8×C13—21no—
882Q8×C13—21no—
883Q8×C13—21no—
884Q8×C13—21no—
885Q8×C13—21no—
886Q8×C13—42no—
887Q8×C13—42no—
888Q8×C13C22×D412yes—
889D4×C13—22no—
890D4×C13—21no—
891D4×C13—21no—
892D4×C13—21no—
893D4×C13—42no—
894D4×C13—42no—
895D4×C13—81no—
896D4×C13C22×D412yes—
897C2×C4×C13—21no—
898C2×C4×C13—21no—
899C2×C4×C13—21no—
900C2×C4×C13—21no—
901C2×C4×C13—21no—
902C2×C4×C13—21no—
903C2×C4×C13—21no—
904C2×C4×C13—21no—
905C2×C4×C13—21no—
906C2×C4×C13—21no—
907C2×C4×C13—42no—
908C2×C4×C13—42no—
909C2×C4×C13—42no—
910C2×C4×C13—81no—
911C2×C4×C13C22×D411yescharacteristic
912C2×C4×C13C22×D411yescharacteristic
913C2×C4×C13C22×D411yescharacteristic
914C2×C4×C13C22×D411yescharacteristic
915C2×C4×C13C2511yescharacteristic
916C22⋊D13—22no—
917C22⋊D13—24no—
918C22⋊D13—41no—
919C22⋊D13—42no—
920C22⋊D13—42no—
921C22⋊D13—42no—
922C22⋊D13—42no—
923C22⋊D13—42no—
924C22⋊D13—42no—
925C22⋊D13—42no—
926C22⋊D13—81no—
927C22⋊D13—81no—
928C2×Dic13—22no—
929C2×Dic13—22no—
930C2×Dic13—21no—
931C2×Dic13—21no—
932C2×Dic13—21no—
933C2×Dic13—42no—
934C2×Dic13—81no—
935C2×Dic13C22×D411yescharacteristic
936C2×Dic13C22×D411yescharacteristic
937C2×Dic13C22×D411yescharacteristic
938C2×Dic13C22×D411yescharacteristic
939C2×Dic13C22×D411yescharacteristic
940D52—24no—
941D52—21no—
942D52—21no—
943D52—21no—
944D52—21no—
945D52—21no—
946D52—21no—
947D52—21no—
948D52—21no—
949D52—41no—
950D52—42no—
951D52—42no—
952D52—42no—
953D52—42no—
954D52—42no—
955D52—42no—
956D52—42no—
957D52—42no—
958D52—42no—
959D52—42no—
960D52—42no—
961D52—81no—
962D52—81no—
963D52—81no—
964D52—81no—
965D52C22×D412yes—
966D52C22×D412yes—
967C4×D13—22no—
968C4×D13—22no—
969C4×D13—21no—
970C4×D13—21no—
971C4×D13—21no—
972C4×D13—21no—
973C4×D13—22no—
974C4×D13—22no—
975C4×D13—24no—
976C4×D13—41no—
977C4×D13—41no—
978C4×D13—42no—
979C4×D13—42no—
980C4×D13—42no—
981C4×D13—42no—
982C4×D13—42no—
983C4×D13—42no—
984C4×D13—42no—
985C4×D13—42no—
986C4×D13—42no—
987C4×D13—42no—
988C4×D13—42no—
989C4×D13—81no—
990C4×D13—81no—
991C4×D13—81no—
992C4×D13C22×D412yes—
993C4×D13H(5,𝔽2)12yes—
994Dic26—21no—
995Dic26—21no—
996Dic26—42no—
997C8×C13—21no—
998C8×C13—21no—
999C8×C13—21no—
1000C8×C13C22×D412yes—
1001#1055—21no—
1002#1055—21no—
1003#1055—21no—
1004#1055C22×D412yes—
1005C22×#41—131no—
1006C22×#41—131no—
1007C22×#41—131no—
1008C23×D4—131no—
1009#575—268no—
1010C2×#137—131no—
1011C2×#137—131no—
1012C2×#137—131no—
1013C2×#137—131no—
1014C2×#137C2×D1311yescharacteristic, complemented
1015C2×AGL(1,ℤ/8)—131no—
1016C2×AGL(1,ℤ/8)—131no—
1017C2×AGL(1,ℤ/8)—131no—
1018C2×AGL(1,ℤ/8)—131no—
1019C2×AGL(1,ℤ/8)—131no—
1020C2×AGL(1,ℤ/8)—131no—
1021C2×AGL(1,ℤ/8)—131no—
1022C2×AGL(1,ℤ/8)—131no—
1023C2×AGL(1,ℤ/8)—131no—
1024C2×AGL(1,ℤ/8)—131no—
1025C2×AGL(1,ℤ/8)—131no—
1026C2×AGL(1,ℤ/8)—131no—
1027C2×AGL(1,ℤ/8)—268no—
1028C2×#135—131no—
1029C2×#135—131no—
1030C2×#135—131no—
1031C2×#135—131no—
1032C22×SD16—131no—
1033C22×SD16C2×D1311yescharacteristic, complemented
1034C22×D8—131no—
1035C22×D8—131no—
1036C22×M16—131no—
1037C22×M16—131no—
1038#550—131no—
1039D4×Q8C2×D1311yescharacteristic, complemented
1040#548—131no—
1041#548—131no—
1042#547—131no—
1043#547—261no—
1044#546—131no—
1045#546—131no—
1046#546—131no—
1047#546—131no—
1048#546—131no—
1049#546—131no—
1050#546—131no—
1051#546—131no—
1052#546—131no—
1053#546—261no—
1054#546—261no—
1055#546—261no—
1056#546—261no—
1057#546—261no—
1058#546—261no—
1059#546C2×D1311yescharacteristic
1060D42—131no—
1061D42—261no—
1062#532—131no—
1063#532—261no—
1064C2×#124—131no—
1065#525—131no—
1066#525—131no—
1067#525—261no—
1068#525—261no—
1069C2×#123—261no—
1070C2×C22⋊Q8—131no—
1071C2×#121—131no—
1072C2×#121—261no—
1073C2×#120—261no—
1074C4×#41—131no—
1075C2×C4×D4—131no—
1076C2×C4×D4—131no—
1077C2×C4×D4—261no—
1078C22×C22⋊C4—261no—
1079#497—131no—
1080#497C2×D1311yescharacteristic, complemented
1081#496—131no—
1082#496—131no—
1083#495—131no—
1084#495—131no—
1085#495—131no—
1086#495—131no—
1087#470—131no—
1088#470—131no—
1089#469—131no—
1090#469—131no—
1091#468—131no—
1092#468—131no—
1093#468—131no—
1094#468C2×D1311yescharacteristic, complemented
1095#467—131no—
1096#467C2×D1311yescharacteristic, complemented
1097#466—131no—
1098#466—131no—
1099#465—131no—
1100#465—131no—
1101#465—131no—
1102#465—131no—
1103#464—131no—
1104#464—131no—
1105#464—131no—
1106#464C2×D1311yescharacteristic, complemented
1107#463—131no—
1108#463—131no—
1109#463—131no—
1110#463—131no—
1111#463—131no—
1112#463—131no—
1113#463—131no—
1114#463—131no—
1115#461—131no—
1116#461C2×D1311yescharacteristic, complemented
1117#459—131no—
1118#459—131no—
1119#452—131no—
1120#452—131no—
1121#452—131no—
1122#452—131no—
1123#452—131no—
1124#452—131no—
1125#452—131no—
1126#452C2×D1311yescharacteristic, complemented
1127#451—131no—
1128#451C2×D1311yescharacteristic, complemented
1129#450—131no—
1130#450—131no—
1131#450—131no—
1132#450—131no—
1133#450—131no—
1134#450C2×D1311yescharacteristic, complemented
1135#449—131no—
1136#449—131no—
1137#449—131no—
1138#449—131no—
1139#449—131no—
1140#449—131no—
1141#449—131no—
1142#449—131no—
1143#448—131no—
1144#448C2×D1311yescharacteristic, complemented
1145#447—131no—
1146#447—131no—
1147#447—131no—
1148#447—131no—
1149#447—131no—
1150#447—131no—
1151#442—131no—
1152#442—131no—
1153#440—131no—
1154#440C2×D1311yescharacteristic, complemented
1155C4×SD16—131no—
1156C4×SD16—131no—
1157C4×D8—131no—
1158C4×D8—131no—
1159#436—131no—
1160#436—131no—
1161#435—131no—
1162#435—131no—
1163#435—131no—
1164#435C2×D1311yescharacteristic, complemented
1165C8×D4—131no—
1166C8×D4—131no—
1167#428—131no—
1168#423—131no—
1169#419—131no—
1170#418—131no—
1171#418—131no—
1172#417—131no—
1173#417—131no—
1174#417—131no—
1175#407—131no—
1176#407—131no—
1177C4×M16—131no—
1178C22×C13—21no—
1179C22×C13—21no—
1180C22×C13—21no—
1181C22×C13—21no—
1182C22×C13—22no—
1183C22×C13—21no—
1184C22×C13—41no—
1185C22×C13—41no—
1186C22×C13—41no—
1187C22×C13—41no—
1188C22×C13—41no—
1189C22×C13—84no—
1190C22×C13#57512yescomplemented
1191C22×C13C23×D411yescharacteristic
1192C2×D13—21no—
1193C2×D13—21no—
1194C2×D13—21no—
1195C2×D13—21no—
1196C2×D13—21no—
1197C2×D13—21no—
1198C2×D13—22no—
1199C2×D13—22no—
1200C2×D13—21no—
1201C2×D13—21no—
1202C2×D13—44no—
1203C2×D13—48no—
1204C2×D13—41no—
1205C2×D13—41no—
1206C2×D13—41no—
1207C2×D13—41no—
1208C2×D13—41no—
1209C2×D13—41no—
1210C2×D13—41no—
1211C2×D13—41no—
1212C2×D13—41no—
1213C2×D13—41no—
1214C2×D13—41no—
1215C2×D13—41no—
1216C2×D13—41no—
1217C2×D13—82no—
1218C2×D13—84no—
1219C2×D13—84no—
1220C2×D13—84no—
1221C2×D13—84no—
1222C2×D13—84no—
1223C2×D13—84no—
1224C2×D13D4212yes—
1225C4×C13—21no—
1226C4×C13—21no—
1227C4×C13—21no—
1228C4×C13—22no—
1229C4×C13—21no—
1230C4×C13—41no—
1231C4×C13—41no—
1232C4×C13—41no—
1233C4×C13—41no—
1234C4×C13—41no—
1235C4×C13C23×D411yescharacteristic
1236C4×C13C2×H(5,𝔽2)11yescharacteristic
1237Dic13—21no—
1238Dic13—21no—
1239Dic13—21no—
1240Dic13—21no—
1241Dic13—41no—
1242Dic13—41no—
1243Dic13—41no—
1244Dic13D4212yes—
1245C25—261no—
1246C2×#41—131no—
1247C2×#41—131no—
1248C2×#41—131no—
1249C2×#41—131no—
1250C2×#41—131no—
1251C2×#41—131no—
1252C2×#41—131no—
1253C2×#41—131no—
1254C2×#41—131no—
1255C2×#41—131no—
1256C2×#41—261no—
1257C2×#41—261no—
1258C2×#41—261no—
1259C2×#41—261no—
1260C2×#41—261no—
1261C2×#41—261no—
1262C2×#41—264no—
1263C2×#41—264no—
1264C2×#41—264no—
1265C2×#41—522no—
1266C2×#41—522no—
1267C2×#41—522no—
1268C2×#41C22×D1311yescharacteristic
1269C22×Q8—131no—
1270C22×Q8C22×D1311yescharacteristic
1271C22×Q8C22×D1311yescharacteristic, complemented
1272C22×D4—131no—
1273C22×D4—131no—
1274C22×D4—131no—
1275C22×D4—131no—
1276C22×D4—131no—
1277C22×D4—131no—
1278C22×D4—131no—
1279C22×D4—131no—
1280C22×D4—261no—
1281C22×D4—261no—
1282C22×D4—261no—
1283C22×D4—261no—
1284C22×D4—261no—
1285C22×D4—264no—
1286C22×D4—261no—
1287C22×D4—261no—
1288C22×D4—261no—
1289C22×D4—522no—
1290C22×D4C22×D1311yescharacteristic
1291C23×C4—131no—
1292C23×C4—131no—
1293C23×C4—261no—
1294C23×C4—261no—
1295C23×C4—261no—
1296C23×C4—261no—
1297#137—24no—
1298#137—264no—
1299#137—264no—
1300#137—264no—
1301#137—522no—
1302AGL(1,ℤ/8)—138no—
1303AGL(1,ℤ/8)—264no—
1304AGL(1,ℤ/8)—264no—
1305AGL(1,ℤ/8)—264no—
1306AGL(1,ℤ/8)—264no—
1307AGL(1,ℤ/8)—264no—
1308AGL(1,ℤ/8)—264no—
1309AGL(1,ℤ/8)—264no—
1310AGL(1,ℤ/8)—264no—
1311AGL(1,ℤ/8)—264no—
1312AGL(1,ℤ/8)—264no—
1313AGL(1,ℤ/8)—522no—
1314#135—264no—
1315#135—264no—
1316#135—264no—
1317#135—264no—
1318C2×Q16—131no—
1319C2×Q16—131no—
1320C2×Q16—131no—
1321C2×Q16C22×D1311yescharacteristic, complemented
1322C2×Q16C22×D1311yescharacteristic, complemented
1323C2×Q16C22×D1311yescharacteristic, complemented
1324C2×SD16—24no—
1325C2×SD16—131no—
1326C2×SD16—131no—
1327C2×SD16—131no—
1328C2×SD16—131no—
1329C2×SD16—131no—
1330C2×SD16—131no—
1331C2×SD16—131no—
1332C2×SD16—131no—
1333C2×SD16—131no—
1334C2×SD16—131no—
1335C2×SD16—131no—
1336C2×SD16—131no—
1337C2×SD16—264no—
1338C2×SD16C22×D1311yescharacteristic
1339C2×SD16C22×D1311yescharacteristic
1340C2×SD16C22×D1311yescharacteristic
1341C2×SD16C22×D1311yescharacteristic
1342C2×SD16C22×D1311yescharacteristic
1343C2×SD16C22×D1311yescharacteristic
1344C2×D8—131no—
1345C2×D8—131no—
1346C2×D8—131no—
1347C2×D8—131no—
1348C2×D8—131no—
1349C2×D8—131no—
1350C2×D8—131no—
1351C2×D8—131no—
1352C2×D8—131no—
1353C2×D8—131no—
1354C2×D8—131no—
1355C2×D8—131no—
1356C2×D8—264no—
1357C2×D8—264no—
1358C2×M16—131no—
1359C2×M16—131no—
1360C2×M16—131no—
1361C2×M16—131no—
1362C2×M16—131no—
1363C2×M16—131no—
1364C2×M16—131no—
1365C2×M16—264no—
1366C2×M16—264no—
1367C2×M16C22×D1311yescharacteristic, complemented
1368C22×C8—131no—
1369C22×C8—131no—
1370C22×C8—131no—
1371C22×C8C22×D1311yescharacteristic
1372C4⋊Q8—21no—
1373C4⋊Q8C22×D1311yescharacteristic, complemented
1374#127—131no—
1375#127—261no—
1376#124—131no—
1377#124—131no—
1378#124—131no—
1379#124—131no—
1380#124—131no—
1381#124—261no—
1382#124—261no—
1383#124—261no—
1384#124—261no—
1385#124C22×D1311yescharacteristic
1386#123—21no—
1387#123—261no—
1388#123—261no—
1389#123—261no—
1390#123—261no—
1391#123—261no—
1392#123—261no—
1393#123—261no—
1394#123—261no—
1395#123—261no—
1396#123—261no—
1397#123—261no—
1398#123—261no—
1399#123—261no—
1400C22⋊Q8—21no—
1401C22⋊Q8—21no—
1402C22⋊Q8—131no—
1403C22⋊Q8—131no—
1404C22⋊Q8—131no—
1405C22⋊Q8—131no—
1406C22⋊Q8—131no—
1407C22⋊Q8—261no—
1408C22⋊Q8—261no—
1409C22⋊Q8—261no—
1410C22⋊Q8—261no—
1411C22⋊Q8C22×D1311yescharacteristic
1412C22⋊Q8C22×D1311yescharacteristic
1413C22⋊Q8C22×D1311yescharacteristic, complemented
1414#121—21no—
1415#121—131no—
1416#121—131no—
1417#121—131no—
1418#121—131no—
1419#121—131no—
1420#121—131no—
1421#121—131no—
1422#121—261no—
1423#121—261no—
1424#121—261no—
1425#121—261no—
1426#121—261no—
1427#121—261no—
1428#121—261no—
1429#121—261no—
1430#121—261no—
1431#121—261no—
1432#121—261no—
1433#121—261no—
1434#121—261no—
1435#121—261no—
1436#121—261no—
1437#121—261no—
1438#121—261no—
1439#121—261no—
1440#121—261no—
1441#121C22×D1311yescharacteristic
1442#120—21no—
1443#120—261no—
1444#120—261no—
1445#120—261no—
1446#120—261no—
1447#120—261no—
1448#120—261no—
1449#120—261no—
1450#120—261no—
1451#120—261no—
1452#120—261no—
1453#120—261no—
1454#120—261no—
1455#120—261no—
1456C4×Q8—131no—
1457C4×Q8C22×D1311yescharacteristic, complemented
1458C4×D4—21no—
1459C4×D4—131no—
1460C4×D4—131no—
1461C4×D4—131no—
1462C4×D4—131no—
1463C4×D4—131no—
1464C4×D4—131no—
1465C4×D4—131no—
1466C4×D4—131no—
1467C4×D4—131no—
1468C4×D4—131no—
1469C4×D4—131no—
1470C4×D4—131no—
1471C4×D4—261no—
1472C4×D4—261no—
1473C4×D4—261no—
1474C4×D4—261no—
1475C4×D4—261no—
1476C4×D4—261no—
1477C4×D4—261no—
1478C4×D4—261no—
1479C4×D4—261no—
1480C4×D4—261no—
1481C4×D4—261no—
1482C4×D4—261no—
1483C4×D4—261no—
1484C4×D4C22×D1311yescharacteristic
1485C4×D4C22×D1311yescharacteristic
1486#117—131no—
1487#117—261no—
1488C2×C4⋊C4—131no—
1489C2×C4⋊C4—131no—
1490C2×C4⋊C4—261no—
1491C2×C4⋊C4—261no—
1492C2×C22⋊C4—21no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—261no—
1496C2×C22⋊C4—261no—
1497C2×C22⋊C4—261no—
1498C2×C22⋊C4—261no—
1499C2×C22⋊C4—261no—
1500C2×C22⋊C4—261no—
1501C2×C22⋊C4—261no—
1502C2×C22⋊C4—261no—
1503C2×C22⋊C4—261no—
1504C2×C22⋊C4—261no—
1505C2×C22⋊C4—261no—
1506C2×C22⋊C4—261no—
1507C2×C22⋊C4—261no—
1508C2×C22⋊C4—261no—
1509C2×C42—131no—
1510C2×C42—261no—
1511#107—131no—
1512#107C22×D1311yescharacteristic, complemented
1513#106—131no—
1514#106—131no—
1515C4⋊C8—131no—
1516C4⋊C8—131no—
1517C4⋊C8—131no—
1518C4⋊C8C22×D1311yescharacteristic, complemented
1519#103—131no—
1520#103—131no—
1521#103—131no—
1522#103—131no—
1523#103—131no—
1524#103—131no—
1525#103C22×D1311yescharacteristic, complemented
1526#103C22×D1311yescharacteristic, complemented
1527#103C22×D1311yescharacteristic, complemented
1528#103C22×D1311yescharacteristic, complemented
1529#102—131no—
1530#102—131no—
1531#102—131no—
1532#102—131no—
1533#102—131no—
1534#102—131no—
1535#102—131no—
1536#102—131no—
1537#102—131no—
1538#102—131no—
1539#102—131no—
1540#102—131no—
1541#102C22×D1311yescharacteristic
1542#102C22×D1311yescharacteristic
1543C22⋊C8—131no—
1544C22⋊C8—131no—
1545C22⋊C8—131no—
1546C22⋊C8—131no—
1547C22⋊C8—131no—
1548C22⋊C8—131no—
1549C22⋊C8C22×D1311yescharacteristic
1550C22⋊C8C22×D1311yescharacteristic, complemented
1551#97—131no—
1552#97C22×D1311yescharacteristic, complemented
1553C4×C8—131no—
1554C4×C8—131no—
1555C2×C13—22no—
1556C2×C13—42no—
1557C2×C13—41no—
1558C2×C13—81no—
1559C2×C13C2×D4211yescharacteristic
1560C2×C13C2×#57511yescharacteristic
1561C2×C13#358511yescharacteristic
1562D13—22no—
1563D13—41no—
1564D13—41no—
1565D13—42no—
1566D13—42no—
1567D13—81no—
1568D13—81no—
1569D13—81no—
1570C24—21no—
1571C24—131no—
1572C24—131no—
1573C24—261no—
1574C24—261no—
1575C24—261no—
1576C24—261no—
1577C24—261no—
1578C24—261no—
1579C24—261no—
1580C24—524no—
1581C24—524no—
1582C24—1042no—
1583#41—22no—
1584#41—41no—
1585#41—134no—
1586#41—262no—
1587#41—262no—
1588#41—262no—
1589#41—262no—
1590#41—262no—
1591#41—262no—
1592#41—262no—
1593#41—262no—
1594#41—262no—
1595#41—262no—
1596#41—262no—
1597#41—262no—
1598#41—521no—
1599#41—524no—
1600#41—524no—
1601#41—524no—
1602#41—521no—
1603#41—524no—
1604#41—521no—
1605#41—521no—
1606#41—521no—
1607#41—521no—
1608#41—521no—
1609#41—524no—
1610#41—524no—
1611C2×Q8—21no—
1612C2×Q8—21no—
1613C2×Q8—22no—
1614C2×Q8—22no—
1615C2×Q8—41no—
1616C2×Q8—41no—
1617C2×Q8—131no—
1618C2×Q8—261no—
1619C2×Q8—262no—
1620C2×Q8—262no—
1621C2×Q8C23×D1311yescharacteristic
1622C2×Q8C23×D1311yescharacteristic
1623C2×Q8C23×D1311yescharacteristic
1624C2×Q8C23×D1311yescharacteristic
1625C2×D4—22no—
1626C2×D4—21no—
1627C2×D4—21no—
1628C2×D4—21no—
1629C2×D4—41no—
1630C2×D4—134no—
1631C2×D4—131no—
1632C2×D4—131no—
1633C2×D4—131no—
1634C2×D4—131no—
1635C2×D4—131no—
1636C2×D4—131no—
1637C2×D4—131no—
1638C2×D4—131no—
1639C2×D4—262no—
1640C2×D4—262no—
1641C2×D4—262no—
1642C2×D4—261no—
1643C2×D4—261no—
1644C2×D4—261no—
1645C2×D4—261no—
1646C2×D4—261no—
1647C2×D4—261no—
1648C2×D4—261no—
1649C2×D4—261no—
1650C2×D4—261no—
1651C2×D4—261no—
1652C2×D4—261no—
1653C2×D4—262no—
1654C2×D4—262no—
1655C2×D4—262no—
1656C2×D4—261no—
1657C2×D4—261no—
1658C2×D4—261no—
1659C2×D4—261no—
1660C2×D4—262no—
1661C2×D4—262no—
1662C2×D4—261no—
1663C2×D4—261no—
1664C2×D4—261no—
1665C2×D4—261no—
1666C2×D4—261no—
1667C2×D4—261no—
1668C2×D4—261no—
1669C2×D4—261no—
1670C2×D4—261no—
1671C2×D4—261no—
1672C2×D4—261no—
1673C2×D4—521no—
1674C2×D4—521no—
1675C2×D4—521no—
1676C2×D4—524no—
1677C2×D4—524no—
1678C2×D4—521no—
1679C2×D4—521no—
1680C2×D4—524no—
1681C2×D4—524no—
1682C2×D4—524no—
1683C2×D4—522no—
1684C2×D4—524no—
1685C2×D4—524no—
1686C2×D4—1042no—
1687C2×D4D4×D1311yescharacteristic
1688C2×D4C23×D1311yescharacteristic
1689C2×D4C23×D1311yescharacteristic
1690C22×C4—21no—
1691C22×C4—21no—
1692C22×C4—21no—
1693C22×C4—21no—
1694C22×C4—131no—
1695C22×C4—131no—
1696C22×C4—131no—
1697C22×C4—131no—
1698C22×C4—131no—
1699C22×C4—131no—
1700C22×C4—131no—
1701C22×C4—131no—
1702C22×C4—131no—
1703C22×C4—131no—
1704C22×C4—131no—
1705C22×C4—261no—
1706C22×C4—262no—
1707C22×C4—262no—
1708C22×C4—262no—
1709C22×C4—262no—
1710C22×C4—261no—
1711C22×C4—261no—
1712C22×C4—261no—
1713C22×C4—261no—
1714C22×C4—261no—
1715C22×C4—261no—
1716C22×C4—261no—
1717C22×C4—261no—
1718C22×C4—261no—
1719C22×C4—261no—
1720C22×C4—261no—
1721C22×C4—261no—
1722C22×C4—261no—
1723C22×C4—261no—
1724C22×C4—261no—
1725C22×C4—261no—
1726C22×C4—524no—
1727C22×C4—524no—
1728C22×C4—524no—
1729C22×C4—1042no—
1730C22×C4C23×D1311yescharacteristic
1731C22×C4C23×D1311yescharacteristic
1732Q16—22no—
1733Q16—22no—
1734Q16—41no—
1735Q16—262no—
1736Q16—262no—
1737Q16—521no—
1738SD16—22no—
1739SD16—22no—
1740SD16—22no—
1741SD16—22no—
1742SD16—41no—
1743SD16—134no—
1744SD16—262no—
1745SD16—262no—
1746SD16—262no—
1747SD16—262no—
1748SD16—262no—
1749SD16—262no—
1750SD16—262no—
1751SD16—262no—
1752SD16—521no—
1753SD16—521no—
1754SD16—521no—
1755SD16D4×D1314yescomplemented
1756D8—134no—
1757D8—134no—
1758D8—262no—
1759D8—262no—
1760D8—262no—
1761D8—262no—
1762D8—262no—
1763D8—262no—
1764D8—262no—
1765D8—262no—
1766D8—521no—
1767D8—521no—
1768M16—22no—
1769M16—134no—
1770M16—262no—
1771M16—262no—
1772M16—262no—
1773M16—262no—
1774M16—262no—
1775M16—262no—
1776C2×C8—22no—
1777C2×C8—131no—
1778C2×C8—131no—
1779C2×C8—131no—
1780C2×C8—131no—
1781C2×C8—262no—
1782C2×C8—262no—
1783C2×C8—262no—
1784C2×C8C23×D1311yescharacteristic
1785C2×C8C23×D1311yescharacteristic
1786C2×C8C23×D1311yescharacteristic
1787C2×C8C23×D1311yescharacteristic
1788C4⋊C4—21no—
1789C4⋊C4—21no—
1790C4⋊C4—21no—
1791C4⋊C4—21no—
1792C4⋊C4—21no—
1793C4⋊C4—21no—
1794C4⋊C4—131no—
1795C4⋊C4—131no—
1796C4⋊C4—131no—
1797C4⋊C4—131no—
1798C4⋊C4—131no—
1799C4⋊C4—261no—
1800C4⋊C4—261no—
1801C4⋊C4—261no—
1802C4⋊C4—261no—
1803C4⋊C4—261no—
1804C4⋊C4—261no—
1805C4⋊C4—261no—
1806C4⋊C4D4×D1311yescharacteristic
1807C4⋊C4C23×D1311yescharacteristic
1808C4⋊C4C23×D1311yescharacteristic
1809C22⋊C4—21no—
1810C22⋊C4—21no—
1811C22⋊C4—21no—
1812C22⋊C4—21no—
1813C22⋊C4—21no—
1814C22⋊C4—21no—
1815C22⋊C4—21no—
1816C22⋊C4—131no—
1817C22⋊C4—131no—
1818C22⋊C4—131no—
1819C22⋊C4—131no—
1820C22⋊C4—131no—
1821C22⋊C4—131no—
1822C22⋊C4—261no—
1823C22⋊C4—261no—
1824C22⋊C4—261no—
1825C22⋊C4—261no—
1826C22⋊C4—261no—
1827C22⋊C4—261no—
1828C22⋊C4—261no—
1829C22⋊C4—261no—
1830C22⋊C4—261no—
1831C22⋊C4—261no—
1832C22⋊C4—261no—
1833C22⋊C4—261no—
1834C22⋊C4—261no—
1835C22⋊C4—261no—
1836C22⋊C4—261no—
1837C22⋊C4—261no—
1838C22⋊C4—261no—
1839C22⋊C4—261no—
1840C22⋊C4—261no—
1841C22⋊C4—261no—
1842C22⋊C4—261no—
1843C22⋊C4—261no—
1844C22⋊C4—261no—
1845C22⋊C4—261no—
1846C22⋊C4—261no—
1847C22⋊C4—261no—
1848C22⋊C4—261no—
1849C22⋊C4—261no—
1850C22⋊C4D4×D1311yescharacteristic
1851C22⋊C4D4×D1311yescharacteristic
1852C42—21no—
1853C42—131no—
1854C42—131no—
1855C42—131no—
1856C42—261no—
1857C42—261no—
1858C42C23×D1311yescharacteristic
1859C13#6106611yescharacteristic, complemented, Sylow
1860C23—21no—
1861C23—21no—
1862C23—42no—
1863C23—42no—
1864C23—81no—
1865C23—131no—
1866C23—131no—
1867C23—131no—
1868C23—262no—
1869C23—264no—
1870C23—262no—
1871C23—262no—
1872C23—261no—
1873C23—261no—
1874C23—261no—
1875C23—261no—
1876C23—261no—
1877C23—521no—
1878C23—521no—
1879C23—521no—
1880C23—522no—
1881C23—522no—
1882C23—522no—
1883C23—522no—
1884C23—522no—
1885C23—522no—
1886C23—522no—
1887C23—522no—
1888C23—522no—
1889C23—522no—
1890C23—522no—
1891C23—522no—
1892C23—522no—
1893C23—522no—
1894C23—522no—
1895C23—1041no—
1896C23—1041no—
1897C23—1041no—
1898C23—1041no—
1899C23—1041no—
1900C23—10416no—
1901C23C2×D4×D1311yescharacteristic
1902C23C2×D4×D1311yescharacteristic
1903Q8—21no—
1904Q8—21no—
1905Q8—21no—
1906Q8—21no—
1907Q8—21no—
1908Q8—21no—
1909Q8—21no—
1910Q8—42no—
1911Q8—42no—
1912Q8—261no—
1913Q8—261no—
1914Q8—522no—
1915Q8C2×D4×D1312yes—
1916D4—22no—
1917D4—21no—
1918D4—21no—
1919D4—21no—
1920D4—42no—
1921D4—42no—
1922D4—81no—
1923D4—132no—
1924D4—132no—
1925D4—264no—
1926D4—264no—
1927D4—262no—
1928D4—261no—
1929D4—261no—
1930D4—261no—
1931D4—261no—
1932D4—261no—
1933D4—261no—
1934D4—261no—
1935D4—261no—
1936D4—521no—
1937D4—522no—
1938D4—522no—
1939D4—522no—
1940D4—522no—
1941D4—522no—
1942D4—522no—
1943D4—522no—
1944D4—522no—
1945D4—522no—
1946D4—522no—
1947D4—522no—
1948D4—522no—
1949D4—521no—
1950D4—522no—
1951D4—522no—
1952D4—522no—
1953D4—522no—
1954D4—522no—
1955D4—522no—
1956D4—1041no—
1957D4—1041no—
1958D4—1041no—
1959D4—1041no—
1960D4—1041no—
1961D4—1041no—
1962D4C2×D4×D1312yes—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—42no—
1974C2×C4—42no—
1975C2×C4—42no—
1976C2×C4—81no—
1977C2×C4—131no—
1978C2×C4—132no—
1979C2×C4—132no—
1980C2×C4—131no—
1981C2×C4—131no—
1982C2×C4—131no—
1983C2×C4—131no—
1984C2×C4—262no—
1985C2×C4—262no—
1986C2×C4—264no—
1987C2×C4—262no—
1988C2×C4—262no—
1989C2×C4—262no—
1990C2×C4—262no—
1991C2×C4—261no—
1992C2×C4—261no—
1993C2×C4—261no—
1994C2×C4—261no—
1995C2×C4—261no—
1996C2×C4—261no—
1997C2×C4—261no—
1998C2×C4—521no—
1999C2×C4—521no—
2000C2×C4—522no—
2001C2×C4—522no—
2002C2×C4—522no—
2003C2×C4—522no—
2004C2×C4—522no—
2005C2×C4—522no—
2006C2×C4—522no—
2007C2×C4—522no—
2008C2×C4—522no—
2009C2×C4—522no—
2010C2×C4—522no—
2011C2×C4—522no—
2012C2×C4—1041no—
2013C2×C4—1041no—
2014C2×C4—1041no—
2015C2×C4—1041no—
2016C2×C4C2×D4×D1311yescharacteristic
2017C2×C4C2×D4×D1311yescharacteristic
2018C2×C4C2×D4×D1311yescharacteristic
2019C2×C4C2×D4×D1311yescharacteristic
2020C2×C4C24×D1311yescharacteristic
2021C8—21no—
2022C8—21no—
2023C8—21no—
2024C8—132no—
2025C8—261no—
2026C8—261no—
2027C8—261no—
2028C8C2×D4×D1312yes—
2029C22—21no—
2030C22—21no—
2031C22—21no—
2032C22—22no—
2033C22—21no—
2034C22—21no—
2035C22—41no—
2036C22—41no—
2037C22—41no—
2038C22—41no—
2039C22—41no—
2040C22—84no—
2041C22—132no—
2042C22—261no—
2043C22—261no—
2044C22—261no—
2045C22—261no—
2046C22—262no—
2047C22—262no—
2048C22—261no—
2049C22—261no—
2050C22—261no—
2051C22—261no—
2052C22—524no—
2053C22—528no—
2054C22—521no—
2055C22—521no—
2056C22—521no—
2057C22—521no—
2058C22—521no—
2059C22—521no—
2060C22—521no—
2061C22—521no—
2062C22—521no—
2063C22—521no—
2064C22—521no—
2065C22—521no—
2066C22—521no—
2067C22—1044no—
2068C22—1044no—
2069C22—1042no—
2070C22—1044no—
2071C22—1044no—
2072C22—1044no—
2073C22—1044no—
2074C22#1171948212yescomplemented
2075C22C22×D4×D1311yescharacteristic
2076C4—21no—
2077C4—21no—
2078C4—22no—
2079C4—21no—
2080C4—21no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—41no—
2086C4—132no—
2087C4—261no—
2088C4—261no—
2089C4—261no—
2090C4—261no—
2091C4—521no—
2092C4—521no—
2093C4—521no—
2094C4C22×D4×D1311yescharacteristic
2095C4D13×H(5,𝔽2)11yescharacteristic
2096C2—22no—
2097C2—41no—
2098C2—42no—
2099C2—81no—
2100C2—262no—
2101C2—521no—
2102C2—521no—
2103C2—522no—
2104C2—522no—
2105C2—1041no—
2106C2—1041no—
2107C2—1041no—
2108C2D42×D1311yescharacteristic
2109C2C2×#1171948211yescharacteristic
2110C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3266C2
socleC22×C13C23×D4
hypercenter#3266D13
hypocenterC13#61066
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. C2×#11719482C2semidirect
2. C22×#88168C2semidirect
3. D4×#6131C2semidirect
4. D13×#546C2semidirect
5. #13126543C2semidirect
6. #13126536C2semidirect
7. #13126518C2semidirect
8. #13126514C2semidirect
9. #13126470C2semidirect
10. #13126461C2semidirect
11. #13126444C2semidirect
12. #13126440C2semidirect
13. #13126378C2semidirect
14. #13126371C2semidirect
15. #13126367C2semidirect
16. #13126360C2semidirect
17. #13126347C2semidirect
18. #13126321C2semidirect
19. #13126317C2semidirect
20. #13125299C2semidirect
21. #13124463C2semidirect
22. #13124450C2semidirect
23. #13124327C2semidirect
24. #13124301C2semidirect
25. #13124095C2semidirect
26. #13124087C2semidirect
27. #13124079C2semidirect
28. #13124064C2semidirect
29. #13123641C2semidirect
30. #13123569C2semidirect
31. C13×#3266C2semidirect
32. C2×#41×D13C22semidirect
34. C22×#6131C22semidirect
35. C22×D4×D13C22semidirect
36. C2×C13×#137C22semidirect
37. C22×C13×SD16C22semidirect
38. D4×Q8×C13C22semidirect
40. #11719534C22semidirect
41. C2×#88203C22semidirect
42. #11719522C22semidirect
43. #11719522C22semidirect
44. C2×#88196C22semidirect
45. C22×#6106C22semidirect
46. #11719511C22semidirect
47. C22×#6104C22semidirect
49. C2×#88173C22semidirect
50. C2×#88173C22semidirect
51. C2×#88172C22semidirect
52. C2×#88172C22semidirect
53. C2×#88172C22semidirect
54. C2×#88170C22semidirect
55. C2×#88170C22semidirect
59. C2×#88168C22semidirect
60. C2×#88168C22semidirect
61. C2×#88168C22semidirect
62. C2×#88168C22semidirect
63. C2×#88168C22semidirect
64. C2×#88168C22semidirect
65. C2×#88168C22semidirect
66. C2×#88168C22semidirect
67. C2×#88162C22semidirect
68. C2×M16×D13C22semidirect
69. C22×D104C22semidirect
70. C22×#6094C22semidirect
72. #11719431C22semidirect
74. #11719430C22semidirect
75. #11719381C22semidirect
76. D13×#124C22semidirect
81. #11719335C22semidirect
82. #11719335C22semidirect
83. #11719335C22semidirect
87. #11719332C22semidirect
88. D13×C22⋊Q8C22semidirect
89. #11719317C22semidirect
92. D13×#121C22semidirect
95. #11719282C22semidirect
96. C4×#6131C22semidirect
97. #11719259C22semidirect
100. D4×D52C22semidirect
103. C4×D4×D13C22semidirect
106. C13×#497C22semidirect
107. C13×#468C22semidirect
108. C13×#467C22semidirect
109. C13×#464C22semidirect
110. C13×#461C22semidirect
111. C13×#452C22semidirect
112. C13×#451C22semidirect
113. C13×#450C22semidirect
114. C13×#448C22semidirect
115. C13×#440C22semidirect
116. C13×#435C22semidirect
117. #11718899C22semidirect
118. #11718889C22semidirect
119. #11718888C22semidirect
120. #11718878C22semidirect
121. #11718852C22semidirect
122. #11718852C22semidirect
123. #11718850C22semidirect
124. #11718848C22semidirect
125. #11718848C22semidirect
126. #11718848C22semidirect
127. #11718846C22semidirect
128. #11718834C22semidirect
129. #11718833C22semidirect
130. #11718833C22semidirect
131. #11718832C22semidirect
132. #11718830C22semidirect
133. #11718830C22semidirect
134. #11718829C22semidirect
135. #11718829C22semidirect
136. #11718827C22semidirect
137. #11718826C22semidirect
138. #11718826C22semidirect
139. SD16×Dic13C22semidirect
140. #11718796C22semidirect
141. #11718789C22semidirect
142. #11718775C22semidirect
143. C8×C22⋊D13C22semidirect
144. #11718747C22semidirect
145. #11718744C22semidirect
146. #11718719C22semidirect
147. #11718718C22semidirect
148. #11718712C22semidirect
149. #11718710C22semidirect
150. #11718709C22semidirect
151. #11718708C22semidirect
152. #11718707C22semidirect
153. #11718707C22semidirect
154. #11718700C22semidirect
155. #11718697C22semidirect
156. #11718689C22semidirect
157. #11718687C22semidirect
158. #11718676C22semidirect
159. #11718675C22semidirect
160. #11718672C22semidirect
161. #11718547C22semidirect
162. #11718544C22semidirect
163. #11718542C22semidirect
164. #11718533C22semidirect
165. #11718505C22semidirect
166. #11718504C22semidirect
167. #11718498C22semidirect
168. #11718497C22semidirect
169. #11718480C22semidirect
170. #11718480C22semidirect
171. #11718480C22semidirect
172. #11718477C22semidirect
173. #11718473C22semidirect
174. #11718472C22semidirect
175. #11718472C22semidirect
176. #11718472C22semidirect
177. #11718471C22semidirect
178. #11718471C22semidirect
179. #11718468C22semidirect
180. #11718464C22semidirect
181. #11718464C22semidirect
182. #11718464C22semidirect
183. #11718463C22semidirect
184. #11718449C22semidirect
185. #11718448C22semidirect
186. #11718442C22semidirect
187. #11718436C22semidirect
188. #11718434C22semidirect
189. #11718434C22semidirect
190. #11718431C22semidirect
191. #11718431C22semidirect
192. #11718417C22semidirect
193. #11718395C22semidirect
194. #11718393C22semidirect
195. #11718393C22semidirect
196. #11718392C22semidirect
197. #11718390C22semidirect
198. #11718387C22semidirect
199. #11718387C22semidirect
200. #11718386C22semidirect
201. #11718373C22semidirect
202. #11718372C22semidirect
203. #11718368C22semidirect
204. #11718367C22semidirect
208. C22×Q8×C13C23semidirect
227. C2×#6131C23semidirect
228. C2×#6131C23semidirect
250. C22×D52C23semidirect
258. C2×C13×Q16C23semidirect
259. C2×C13×Q16C23semidirect
260. C2×C13×Q16C23semidirect
268. C2×C13×M16C23semidirect
271. C13×C4⋊Q8C23semidirect
278. C13×C22⋊Q8C23semidirect
282. C4×Q8×C13C23semidirect
293. #88201C23semidirect
294. #88201C23semidirect
299. #88200C23semidirect
300. Q8×Dic13C23semidirect
301. C2×#6107C23semidirect
302. C2×#6107C23semidirect
303. C2×#6107C23semidirect
312. C2×#6106C23semidirect
313. C2×#6106C23semidirect
314. C2×#6106C23semidirect
339. #88184C23semidirect
349. C2×#6099C23semidirect
367. #88168D4semidirect
377. C2×#6095C23semidirect
378. C2×#6095C23semidirect
379. C2×#6095C23semidirect
387. C2×C8×D13C23semidirect
388. C2×C8×D13C23semidirect
402. #88149C23semidirect
418. #88147C23semidirect
463. #88128C23semidirect
468. C4×D52C23semidirect
471. C13×#107C23semidirect
472. C13×C4⋊C8C23semidirect
473. C13×#103C23semidirect
474. C13×#103C23semidirect
475. C13×#103C23semidirect
476. C13×#103C23semidirect
480. C13×C22⋊C8C23semidirect
481. C13×#97C23semidirect
482. #88075C23semidirect
483. #88075C23semidirect
484. #88075C23semidirect
485. #88075C23semidirect
489. C22⋊#1055C23semidirect
492. #88061C23semidirect
493. #88061C23semidirect
494. #88061C23semidirect
497. #88060C23semidirect
498. #88060C23semidirect
499. #88057C23semidirect
500. #88056C23semidirect
501. #88054C23semidirect
502. #88054C23semidirect
503. C8×Dic13C23semidirect
504. C8×Dic13C23semidirect
505. #88050C23semidirect
508. #88049C23semidirect
509. #88049C23semidirect
510. #88049C23semidirect
511. #88048C23semidirect
512. #88047C23semidirect
513. C4⋊#1055C23semidirect
514. #88043C23semidirect
610. D4×D13C2×D4semidirect
686. C13×SD16C2×D4semidirect
731. #6106C2×D4semidirect
737. #6104C2×D4semidirect
793. D104C2×D4semidirect
802. #6094C2×D4semidirect
822. #3266D13semidirect
1014. C2×#137C2×D13semidirect
1033. C22×SD16C2×D13semidirect
1039. D4×Q8C2×D13semidirect
1080. #497C2×D13semidirect
1094. #468C2×D13semidirect
1096. #467C2×D13semidirect
1106. #464C2×D13semidirect
1116. #461C2×D13semidirect
1126. #452C2×D13semidirect
1128. #451C2×D13semidirect
1134. #450C2×D13semidirect
1144. #448C2×D13semidirect
1154. #440C2×D13semidirect
1164. #435C2×D13semidirect
1190. C22×C13#575semidirect
1271. C22×Q8C22×D13semidirect
1321. C2×Q16C22×D13semidirect
1322. C2×Q16C22×D13semidirect
1323. C2×Q16C22×D13semidirect
1367. C2×M16C22×D13semidirect
1373. C4⋊Q8C22×D13semidirect
1413. C22⋊Q8C22×D13semidirect
1457. C4×Q8C22×D13semidirect
1512. #107C22×D13semidirect
1518. C4⋊C8C22×D13semidirect
1525. #103C22×D13semidirect
1526. #103C22×D13semidirect
1527. #103C22×D13semidirect
1528. #103C22×D13semidirect
1550. C22⋊C8C22×D13semidirect
1552. #97C22×D13semidirect
1755. SD16D4×D13semidirect
1859. C13#61066semidirect
2074. C22#11719482semidirect

Maximal subgroups

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

subgroupindex
C2×#117194822
C22×#881682
D4×#61312
D13×#5462
#131265432
#131265362
#131265182
#131265142
#131264702
#131264612
#131264442
#131264402
#131263782
#131263712
#131263672
#131263602
#131263472
#131263212
#131263172
#131252992
#131244632
#131244502
#131243272
#131243012
#131240952
#131240872
#131240792
#131240642
#131236412
#131235692
C13×#32662
#6106613