Finite Group Databasebeta

← #16738510

Subgroups — #16738510

Order 3328.

3230 conjugacy classes of subgroups.

The subgroup lattice has 2208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88168C211yesmaximal, characteristic, complemented
2C2×D13×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3#13128325C211yesmaximal, characteristic, complemented
4D42×D13C211yesmaximal, characteristic, complemented
5SD16×C22⋊D13C211yesmaximal, characteristic, complemented
6#13126525C211yesmaximal, characteristic, complemented
7#13126510C211yesmaximal, characteristic, complemented
8#13126506C211yesmaximal, characteristic, complemented
9#13126450C211yesmaximal, characteristic, complemented
10#13126449C211yesmaximal, characteristic, complemented
11#13126434C211yesmaximal, characteristic, complemented
12#13126433C211yesmaximal, characteristic, complemented
13#13126333C211yesmaximal, characteristic, complemented
14#13126332C211yesmaximal, characteristic, complemented
15#13126326C211yesmaximal, characteristic, complemented
16#13126322C211yesmaximal, characteristic, complemented
17#13126321C211yesmaximal, characteristic, complemented
18#13126315C211yesmaximal, characteristic, complemented
19#13126312C211yesmaximal, characteristic, complemented
20#13125285C211yesmaximal, characteristic, complemented
21#13124452C211yesmaximal, characteristic, complemented
22#13124450C211yesmaximal, characteristic, complemented
23#13124313C211yesmaximal, characteristic, complemented
24#13124298C211yesmaximal, characteristic, complemented
25#13124087C211yesmaximal, characteristic, complemented
26#13124085C211yesmaximal, characteristic, complemented
27#13124064C211yesmaximal, characteristic, complemented
28#13124060C211yesmaximal, characteristic, complemented
29#13123641C211yesmaximal, characteristic, complemented
30#13123569C211yesmaximal, characteristic, complemented
31C13×#3265C211yesmaximal, characteristic, complemented
32C2×#41×D13C2211yescharacteristic, complemented
33C22×#6131C2211yescharacteristic, complemented
34C22×D4×D13—21no—
35C22×D4×D13C2211yescharacteristic, complemented
36C22×D4×D13C2211yescharacteristic, complemented
37C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C22×C13×SD16C2211yescharacteristic, complemented
39C13×#548C2211yescharacteristic, complemented
40D42×C13C2211yescharacteristic, complemented
41#11719539C2211yescharacteristic, complemented
42C2×#88203C2211yescharacteristic, complemented
43Q8×C22⋊D13C2211yescharacteristic, complemented
44C22×#6106C2211yescharacteristic, complemented
45D4×C22⋊D13—21no—
46D4×C22⋊D13C2211yescharacteristic
47D4×C22⋊D13C2211yescharacteristic, complemented
48C2×#88186C2211yescharacteristic, complemented
49C22×#6104C2211yescharacteristic, complemented
50D13×AGL(1,ℤ/8)—28no—
51C2×#88168—28no—
52C2×#88168C2211yescharacteristic
53C2×#88168C2211yescharacteristic, complemented
54C2×#88168C2211yescharacteristic, complemented
55C2×#88168C2211yescharacteristic, complemented
56C2×#88168C2211yescharacteristic, complemented
57C2×#88168C2211yescharacteristic, complemented
58C2×#88168C2211yescharacteristic, complemented
59C2×#88168C2211yescharacteristic, complemented
60C2×#88168C2211yescharacteristic, complemented
61C2×#88168C2211yescharacteristic, complemented
62C2×SD16×D13C2211yescharacteristic, complemented
63C2×SD16×D13C2211yescharacteristic, complemented
64C2×#88165C2211yescharacteristic, complemented
65C2×#88165C2211yescharacteristic, complemented
66C2×#88165C2211yescharacteristic, complemented
67C2×D8×D13C2211yescharacteristic, complemented
68C2×D8×D13C2211yescharacteristic, complemented
69C2×#88162C2211yescharacteristic, complemented
70C2×M16×D13C2211yescharacteristic, complemented
71C22×D104C2211yescharacteristic, complemented
72C22×#6094C2211yescharacteristic, complemented
73#11719422C2211yescharacteristic, complemented
74D13×#127C2211yescharacteristic, complemented
75#11719381—21no—
76#11719381C2211yescharacteristic, complemented
77#11719373—21no—
78#11719373C2211yescharacteristic, complemented
79#11719336—21no—
80#11719336C2211yescharacteristic, complemented
81#11719332—21no—
82#11719332C2211yescharacteristic, complemented
83#11719314—21no—
84#11719314—21no—
85#11719314C2211yescharacteristic
86#11719314C2211yescharacteristic, complemented
87#11719314C2211yescharacteristic, complemented
88#11719311—21no—
89#11719311C2211yescharacteristic, complemented
90D13×#121—21no—
91D13×#121C2211yescharacteristic, complemented
92D13×#121C2211yescharacteristic, complemented
93#11719295—21no—
94#11719295—21no—
95D13×#120—21no—
96D13×#120—21no—
97#11719281C2211yescharacteristic, complemented
98C4×#6131C2211yescharacteristic, complemented
99#11719255—21no—
100#11719255C2211yescharacteristic, complemented
101D4×D52C2211yescharacteristic, complemented
102D4×D52C2211yescharacteristic, complemented
103C4×D4×D13—21no—
104C4×D4×D13C2211yescharacteristic
105C4×D4×D13C2211yescharacteristic, complemented
106C13×#496C2211yescharacteristic, complemented
107C13×#468C2211yescharacteristic, complemented
108C13×#466C2211yescharacteristic, complemented
109C13×#463C2211yescharacteristic, complemented
110C13×#460C2211yescharacteristic, complemented
111C13×#450C2211yescharacteristic, complemented
112C13×#449C2211yescharacteristic, complemented
113C13×#448C2211yescharacteristic, complemented
114C13×#447C2211yescharacteristic, complemented
115C13×#440C2211yescharacteristic, complemented
116C13×#435C2211yescharacteristic, complemented
117#11718899C2211yescharacteristic, complemented
118#11718888C2211yescharacteristic, complemented
119#11718879C2211yescharacteristic, complemented
120#11718878C2211yescharacteristic, complemented
121#11718836C2211yescharacteristic, complemented
122#11718836C2211yescharacteristic, complemented
123#11718833C2211yescharacteristic, complemented
124#11718833C2211yescharacteristic, complemented
125#11718832C2211yescharacteristic, complemented
126#11718831C2211yescharacteristic, complemented
127#11718830C2211yescharacteristic, complemented
128#11718830C2211yescharacteristic, complemented
129#11718824C2211yescharacteristic, complemented
130#11718824C2211yescharacteristic, complemented
131#11718823C2211yescharacteristic, complemented
132SD16×Dic13C2211yescharacteristic, complemented
133#11718820C2211yescharacteristic, complemented
134#11718817C2211yescharacteristic, complemented
135#11718817C2211yescharacteristic, complemented
136#11718817C2211yescharacteristic, complemented
137#11718812C2211yescharacteristic, complemented
138#11718812C2211yescharacteristic, complemented
139#11718811C2211yescharacteristic, complemented
140#11718796C2211yescharacteristic, complemented
141#11718789C2211yescharacteristic, complemented
142#11718775C2211yescharacteristic, complemented
143C8×C22⋊D13C2211yescharacteristic, complemented
144#11718735C2211yescharacteristic, complemented
145#11718733C2211yescharacteristic, complemented
146#11718719C2211yescharacteristic, complemented
147#11718718C2211yescharacteristic, complemented
148#11718710C2211yescharacteristic, complemented
149#11718707C2211yescharacteristic, complemented
150#11718702C2211yescharacteristic, complemented
151#11718700C2211yescharacteristic, complemented
152#11718699C2211yescharacteristic, complemented
153#11718698C2211yescharacteristic, complemented
154#11718697C2211yescharacteristic, complemented
155#11718697C2211yescharacteristic, complemented
156#11718688C2211yescharacteristic, complemented
157#11718687C2211yescharacteristic, complemented
158#11718677C2211yescharacteristic, 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#11718479C2211yescharacteristic, complemented
170#11718472C2211yescharacteristic, complemented
171#11718472C2211yescharacteristic, complemented
172#11718468C2211yescharacteristic, complemented
173#11718467C2211yescharacteristic, complemented
174#11718464C2211yescharacteristic, complemented
175#11718464C2211yescharacteristic, complemented
176#11718449C2211yescharacteristic, complemented
177#11718447C2211yescharacteristic, complemented
178#11718447C2211yescharacteristic, complemented
179#11718447C2211yescharacteristic, complemented
180#11718443C2211yescharacteristic, complemented
181#11718441C2211yescharacteristic, complemented
182#11718437C2211yescharacteristic, complemented
183#11718437C2211yescharacteristic, complemented
184#11718436C2211yescharacteristic, complemented
185#11718434C2211yescharacteristic, complemented
186#11718434C2211yescharacteristic, complemented
187#11718434C2211yescharacteristic, complemented
188#11718432C2211yescharacteristic, complemented
189#11718431C2211yescharacteristic, 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—
206C24×D13—21no—
207C2×C13×#41C2311yescharacteristic, complemented
208C22×Q8×C13C2311yescharacteristic, complemented
209C22×D4×C13—21no—
210C22×D4×C13C2311yescharacteristic
211C22×D4×C13C2311yescharacteristic
212C22×C22⋊D13—21no—
213C22×C22⋊D13—21no—
214C22×C22⋊D13—21no—
215C22×C22⋊D13—21no—
216#41×D13—24no—
217#41×D13—42no—
218C2×#6131—21no—
219C2×#6131—21no—
220C2×#6131—24no—
221C2×#6131—42no—
222C2×#6131C2311yescharacteristic
223C2×#6131C2311yescharacteristic
224C2×#6131C2311yescharacteristic, complemented
225C2×#6131C2311yescharacteristic, complemented
226C2×Q8×D13C2311yescharacteristic, complemented
227C2×#6129—21no—
228C2×#6129C2311yescharacteristic
229C2×D4×D13—24no—
230C2×D4×D13—24no—
231C2×D4×D13—21no—
232C2×D4×D13—21no—
233C2×D4×D13—21no—
234C2×D4×D13—21no—
235C2×D4×D13—21no—
236C2×D4×D13—21no—
237C2×D4×D13—21no—
238C2×D4×D13—21no—
239C2×D4×D13—21no—
240C2×D4×D13—21no—
241C2×D4×D13—21no—
242C2×D4×D13—21no—
243C2×D4×D13—21no—
244C2×D4×D13—21no—
245C2×D4×D13—42no—
246C2×D4×D13—42no—
247C2×D4×D13—48no—
248C2×D4×D13D411yescharacteristic
249C2×D4×D13C2311yescharacteristic
250C2×D4×D13C2311yescharacteristic
251C2×D4×D13C2311yescharacteristic
252C2×D4×D13C2311yescharacteristic
253C2×D4×D13C2311yescharacteristic
254C2×D4×D13C2311yescharacteristic
255C2×D4×D13C2311yescharacteristic
256C2×D4×D13C2311yescharacteristic, complemented
257C2×#6127—21no—
258C2×#6127C2311yescharacteristic, complemented
259C22×D52—21no—
260C22×D52—21no—
261C22×D52C2311yescharacteristic
262C22×D52C2311yescharacteristic
263C22×D52C2311yescharacteristic, complemented
264C22×C4×D13—21no—
265C22×C4×D13—21no—
266C22×C4×D13—21no—
267C22×C4×D13C2311yescharacteristic
268C22×C4×D13C2311yescharacteristic
269C13×AGL(1,ℤ/8)—24no—
270C2×C13×SD16—24no—
271C2×C13×SD16C2311yescharacteristic
272C2×C13×SD16C2311yescharacteristic
273C2×C13×SD16C2311yescharacteristic, complemented
274C2×C13×SD16C2311yescharacteristic, complemented
275C2×C13×SD16C2311yescharacteristic, complemented
276C2×C13×SD16C2311yescharacteristic, complemented
277C2×C13×D8C2311yescharacteristic
278C2×C13×D8C2311yescharacteristic, complemented
279C2×C13×D8C2311yescharacteristic, complemented
280C2×C13×M16C2311yescharacteristic, complemented
281C22×C8×C13C2311yescharacteristic, complemented
282C13×#127C2311yescharacteristic
283C13×#124—21no—
284C13×#124C2311yescharacteristic, complemented
285C13×C22⋊Q8—21no—
286C13×C22⋊Q8C2311yescharacteristic, complemented
287C13×#121—21no—
288C13×#121—21no—
289C13×#121C2311yescharacteristic
290C13×#121C2311yescharacteristic
291C13×#121C2311yescharacteristic, complemented
292C13×#120—21no—
293C13×#120—21no—
294C4×Q8×C13C2311yescharacteristic, complemented
295C4×D4×C13—21no—
296C4×D4×C13C2311yescharacteristic
297C4×D4×C13C2311yescharacteristic
298#88207—21no—
299#88207—21no—
300#88203—24no—
301#88200—21no—
302#88200C2311yescharacteristic, complemented
303Q8×Dic13C2311yescharacteristic, complemented
304#88198—21no—
305#88198C2311yescharacteristic, complemented
306C2×#6106—24no—
307C2×#6106C2311yescharacteristic
308C2×#6106C2311yescharacteristic
309C2×#6106C2311yescharacteristic, complemented
310C2×#6106C2311yescharacteristic, complemented
311C2×#6106C2311yescharacteristic, complemented
312C2×#6106C2311yescharacteristic, complemented
313#88194—21no—
314#88194—21no—
315#88194—21no—
316#88194C2311yescharacteristic
317#88194C2311yescharacteristic
318#88194C2311yescharacteristic, complemented
319#88193—21no—
320#88193—21no—
321#88193—21no—
322#88193—21no—
323#88192—21no—
324#88192—21no—
325#88192C2311yescharacteristic
326#88192C2311yescharacteristic
327#88192C2311yescharacteristic, complemented
328#88191—21no—
329#88191—21no—
330#88191—21no—
331#88191—21no—
332#88191—21no—
333#88191—21no—
334#88191—21no—
335#88191—21no—
336#88191—21no—
337D4×Dic13—21no—
338D4×Dic13D411yescharacteristic
339D4×Dic13C2311yescharacteristic
340C2×#6105C2311yescharacteristic
341C2×#6105C2311yescharacteristic, complemented
342C2×#6105C2311yescharacteristic, complemented
343#88186—24no—
344C2×#6104—24no—
345C2×#6104C2311yescharacteristic
346C2×#6104C2311yescharacteristic
347C2×#6104C2311yescharacteristic
348C2×#6104C2311yescharacteristic, complemented
349C2×#6104C2311yescharacteristic, complemented
350C2×#6104C2311yescharacteristic, complemented
351C2×#6104C2311yescharacteristic, complemented
352C2×#6104C2311yescharacteristic, complemented
353C2×#6104C2311yescharacteristic, complemented
354#88184—21no—
355#88184—21no—
356#88184C2311yescharacteristic
357#88184C2311yescharacteristic
358#88184C2311yescharacteristic, complemented
359C4×C22⋊D13—21no—
360C4×C22⋊D13—21no—
361C4×C22⋊D13—21no—
362C4×C22⋊D13C2311yescharacteristic
363C4×C22⋊D13C2311yescharacteristic
364#88178—21no—
365#88178C2311yescharacteristic, complemented
366C2×#6099C2311yescharacteristic, complemented
367C22×#1055C2311yescharacteristic, complemented
368#88168—24no—
369#88168—24no—
370#88168—24no—
371#88168—24no—
372#88168—24no—
373#88168—24no—
374#88168—24no—
375#88168—24no—
376#88168—42no—
377#88168D418yescomplemented
378SD16×D13—24no—
379SD16×D13—24no—
380#88165—24no—
381#88165—24no—
382#88165—42no—
383D8×D13—24no—
384D8×D13—24no—
385#88162—24no—
386M16×D13—24no—
387C2×D104—24no—
388C2×D104C2311yescharacteristic
389C2×D104C2311yescharacteristic
390C2×D104C2311yescharacteristic, complemented
391C2×D104C2311yescharacteristic, complemented
392C2×D104C2311yescharacteristic, complemented
393C2×D104C2311yescharacteristic, complemented
394C2×#6095C2311yescharacteristic
395C2×#6095C2311yescharacteristic, complemented
396C2×#6095C2311yescharacteristic, complemented
397C2×#6094—24no—
398C2×#6094C2311yescharacteristic
399C2×#6094C2311yescharacteristic
400C2×#6094C2311yescharacteristic
401C2×#6094C2311yescharacteristic
402C2×#6094C2311yescharacteristic, complemented
403C2×#6094C2311yescharacteristic, complemented
404C2×C8×D13C2311yescharacteristic, complemented
405C2×C8×D13C2311yescharacteristic, complemented
406#88151—21no—
407#88151C2311yescharacteristic, complemented
408#88149—21no—
409#88149—21no—
410#88149C2311yescharacteristic
411#88149C2311yescharacteristic
412#88149C2311yescharacteristic, complemented
413#88148—21no—
414#88148—21no—
415#88148—21no—
416#88147—21no—
417#88147—21no—
418#88147D411yescharacteristic
419#88147C2311yescharacteristic
420#88147C2311yescharacteristic, complemented
421#88146—21no—
422#88146C2311yescharacteristic
423C4⋊C4×D13—21no—
424C4⋊C4×D13D411yescharacteristic
425C4⋊C4×D13C2311yescharacteristic
426#88138—21no—
427#88138—21no—
428#88138—21no—
429#88138—21no—
430#88138—21no—
431#88138—21no—
432#88138—21no—
433#88138—21no—
434#88138—21no—
435#88138—21no—
436#88137—21no—
437#88137—21no—
438#88137—21no—
439#88136—21no—
440#88136—21no—
441#88136—21no—
442#88136—21no—
443#88136—21no—
444#88136—21no—
445#88136—21no—
446#88136—21no—
447#88136—21no—
448#88135—21no—
449#88135—21no—
450#88135—21no—
451#88135—21no—
452#88135—21no—
453#88135D411yescharacteristic
454#88135D411yescharacteristic
455C22⋊C4×D13—21no—
456C22⋊C4×D13—21no—
457C22⋊C4×D13—21no—
458C22⋊C4×D13—21no—
459C22⋊C4×D13—21no—
460C22⋊C4×D13D411yescharacteristic
461C22⋊C4×D13D411yescharacteristic
462#88129—21no—
463#88129C2311yescharacteristic, complemented
464#88128C2311yescharacteristic
465C4×D52—21no—
466C4×D52—21no—
467C4×D52C2311yescharacteristic
468C4×D52C2311yescharacteristic
469C4×D52C2311yescharacteristic, complemented
470C42×D13—21no—
471C42×D13C2311yescharacteristic
472C13×#107C2311yescharacteristic, complemented
473C13×C4⋊C8C2311yescharacteristic, complemented
474C13×#103C2311yescharacteristic, complemented
475C13×#103C2311yescharacteristic, complemented
476C13×#102C2311yescharacteristic
477C13×#102C2311yescharacteristic, complemented
478C13×#102C2311yescharacteristic, complemented
479C13×#102C2311yescharacteristic, complemented
480C13×C22⋊C8C2311yescharacteristic, complemented
481C13×C22⋊C8C2311yescharacteristic, complemented
482C13×#97C2311yescharacteristic, complemented
483#88075C2311yescharacteristic, complemented
484#88075C2311yescharacteristic, complemented
485#88072C2311yescharacteristic
486#88072C2311yescharacteristic, complemented
487#88072C2311yescharacteristic, complemented
488#88072C2311yescharacteristic, complemented
489C22⋊#1055C2311yescharacteristic, complemented
490C22⋊#1055C2311yescharacteristic, complemented
491#88061C2311yescharacteristic
492#88061C2311yescharacteristic, complemented
493#88061C2311yescharacteristic, complemented
494#88061C2311yescharacteristic, complemented
495#88061C2311yescharacteristic, complemented
496#88060C2311yescharacteristic, complemented
497#88060C2311yescharacteristic, complemented
498#88060C2311yescharacteristic, complemented
499#88060C2311yescharacteristic, complemented
500#88057C2311yescharacteristic, complemented
501#88056C2311yescharacteristic, complemented
502#88054C2311yescharacteristic, complemented
503#88054C2311yescharacteristic, complemented
504C8×Dic13C2311yescharacteristic, complemented
505C8×Dic13C2311yescharacteristic, complemented
506#88050C2311yescharacteristic, complemented
507#88049C2311yescharacteristic
508#88049C2311yescharacteristic, complemented
509#88049C2311yescharacteristic, complemented
510#88049C2311yescharacteristic, complemented
511#88049C2311yescharacteristic, complemented
512#88048C2311yescharacteristic, complemented
513#88047C2311yescharacteristic, complemented
514C4⋊#1055C2311yescharacteristic, complemented
515#88043C2311yescharacteristic, complemented
516D4×AGL(1,ℤ/8)—131nomaximal, Sylow
517C24×C13—21no—
518C24×C13—21no—
519C23×D13—21no—
520C23×D13—21no—
521C23×D13—21no—
522C23×D13—21no—
523C23×D13—21no—
524C23×D13—21no—
525C23×D13—21no—
526C23×D13—21no—
527C23×D13—21no—
528C23×D13—21no—
529C23×D13—21no—
530C23×D13—44no—
531C23×D13—44no—
532C23×D13—44no—
533C23×D13—44no—
534C23×D13—82no—
535C23×D13—82no—
536C23×D13C2×D411yescharacteristic
537C23×D13C2×D411yescharacteristic
538C13×#41—22no—
539C13×#41—41no—
540C2×Q8×C13—21no—
541C2×Q8×C13—22no—
542C2×Q8×C13—41no—
543C2×Q8×C13C2411yescharacteristic
544C2×Q8×C13C2411yescharacteristic
545C2×D4×C13—22no—
546C2×D4×C13—22no—
547C2×D4×C13—21no—
548C2×D4×C13—21no—
549C2×D4×C13—21no—
550C2×D4×C13—21no—
551C2×D4×C13—21no—
552C2×D4×C13—21no—
553C2×D4×C13—21no—
554C2×D4×C13—21no—
555C2×D4×C13—41no—
556C2×D4×C13—41no—
557C2×D4×C13—44no—
558C2×D4×C13C2×D411yescharacteristic
559C2×D4×C13C2411yescharacteristic
560C2×D4×C13C2411yescharacteristic
561C2×D4×C13C2411yescharacteristic
562C2×D4×C13C2411yescharacteristic
563C22×C4×C13—21no—
564C22×C4×C13—21no—
565C22×C4×C13—21no—
566C22×C4×C13C2411yescharacteristic
567C22×C4×C13C2411yescharacteristic
568C2×C22⋊D13—21no—
569C2×C22⋊D13—21no—
570C2×C22⋊D13—21no—
571C2×C22⋊D13—21no—
572C2×C22⋊D13—21no—
573C2×C22⋊D13—21no—
574C2×C22⋊D13—21no—
575C2×C22⋊D13—21no—
576C2×C22⋊D13—21no—
577C2×C22⋊D13—21no—
578C2×C22⋊D13—21no—
579C2×C22⋊D13—21no—
580C2×C22⋊D13—21no—
581C2×C22⋊D13—21no—
582C2×C22⋊D13—21no—
583C2×C22⋊D13—21no—
584C2×C22⋊D13—21no—
585C2×C22⋊D13—21no—
586C2×C22⋊D13—21no—
587C2×C22⋊D13—21no—
588C2×C22⋊D13—21no—
589C2×C22⋊D13—21no—
590C2×C22⋊D13—44no—
591C2×C22⋊D13—44no—
592C2×C22⋊D13—44no—
593C2×C22⋊D13—44no—
594C2×C22⋊D13C2×D411yescharacteristic
595C2×C22⋊D13C2×D411yescharacteristic
596C22×Dic13—21no—
597C22×Dic13—21no—
598C22×Dic13C2×D411yescharacteristic
599C22×Dic13C2×D411yescharacteristic
600#6131—22no—
601#6131—22no—
602#6131—22no—
603#6131—22no—
604#6131—22no—
605#6131—44no—
606#6131—41no—
607#6131—41no—
608#6131—44no—
609#6131C2×D414yescomplemented
610Q8×D13—22no—
611Q8×D13—41no—
612#6129—22no—
613#6129—22no—
614#6129—44no—
615D4×D13—24no—
616D4×D13—22no—
617D4×D13—22no—
618D4×D13—22no—
619D4×D13—22no—
620D4×D13—22no—
621D4×D13—22no—
622D4×D13—22no—
623D4×D13—22no—
624D4×D13—22no—
625D4×D13—22no—
626D4×D13—41no—
627D4×D13—41no—
628D4×D13—41no—
629D4×D13—41no—
630D4×D13—41no—
631D4×D13—44no—
632D4×D13—44no—
633D4×D13—44no—
634D4×D13—44no—
635D4×D13—44no—
636D4×D13—44no—
637D4×D13—44no—
638D4×D13—44no—
639D4×D13—44no—
640D4×D13—44no—
641D4×D13—44no—
642D4×D13—44no—
643D4×D13—44no—
644D4×D13—82no—
645D4×D13C2×D414yescomplemented
646#6127—22no—
647#6127—41no—
648#6127—44no—
649C2×D52—21no—
650C2×D52—22no—
651C2×D52—22no—
652C2×D52—22no—
653C2×D52—21no—
654C2×D52—21no—
655C2×D52—21no—
656C2×D52—21no—
657C2×D52—21no—
658C2×D52—21no—
659C2×D52—21no—
660C2×D52—21no—
661C2×D52—21no—
662C2×D52—21no—
663C2×D52—21no—
664C2×D52—41no—
665C2×D52—41no—
666C2×D52—41no—
667C2×D52—44no—
668C2×D52—44no—
669C2×D52C2×D411yescharacteristic
670C2×D52C2411yescharacteristic
671C2×D52C2411yescharacteristic
672C2×D52C2411yescharacteristic
673C2×D52C2411yescharacteristic
674C2×D52C2411yescharacteristic
675C2×C4×D13—21no—
676C2×C4×D13—22no—
677C2×C4×D13—22no—
678C2×C4×D13—22no—
679C2×C4×D13—22no—
680C2×C4×D13—21no—
681C2×C4×D13—21no—
682C2×C4×D13—21no—
683C2×C4×D13—21no—
684C2×C4×D13—21no—
685C2×C4×D13—21no—
686C2×C4×D13—21no—
687C2×C4×D13—21no—
688C2×C4×D13—21no—
689C2×C4×D13—21no—
690C2×C4×D13—44no—
691C2×C4×D13—44no—
692C2×C4×D13—44no—
693C2×C4×D13C2×D411yescharacteristic
694C2×C4×D13C2×D411yescharacteristic
695C2×C4×D13C2×D411yescharacteristic
696C2×C4×D13C2×D411yescharacteristic
697C2×C4×D13C2×D411yescharacteristic
698C2×C4×D13C2×D411yescharacteristic
699C2×C4×D13C2411yescharacteristic
700C2×C4×D13C2411yescharacteristic
701C2×C4×D13C2411yescharacteristic
702C2×Dic26—21no—
703C2×Dic26C2411yescharacteristic
704C13×SD16—22no—
705C13×SD16—22no—
706C13×SD16—22no—
707C13×SD16—22no—
708C13×SD16—41no—
709C13×SD16C2×D414yescomplemented
710C13×D8—22no—
711C13×D8—22no—
712C13×D8—41no—
713C13×M16—22no—
714C2×C8×C13—22no—
715C2×C8×C13C2411yescharacteristic
716C2×C8×C13C2411yescharacteristic
717C2×C8×C13C2411yescharacteristic
718C2×C8×C13C2411yescharacteristic
719C13×C4⋊C4—21no—
720C13×C4⋊C4—21no—
721C13×C4⋊C4C2×D411yescharacteristic
722C13×C4⋊C4C2411yescharacteristic
723C13×C4⋊C4C2411yescharacteristic
724C13×C22⋊C4—21no—
725C13×C22⋊C4—21no—
726C13×C22⋊C4—21no—
727C13×C22⋊C4—21no—
728C13×C22⋊C4—21no—
729C13×C22⋊C4—21no—
730C13×C22⋊C4—21no—
731C13×C22⋊C4C2×D411yescharacteristic
732C13×C22⋊C4C2×D411yescharacteristic
733C42×C13—21no—
734C42×C13C2411yescharacteristic
735C22⋊Dic13—21no—
736C22⋊Dic13—21no—
737C22⋊Dic13—21no—
738C22⋊Dic13—21no—
739C22⋊Dic13—21no—
740C22⋊Dic13C2×D411yescharacteristic
741C22⋊Dic13C2×D411yescharacteristic
742#6106—22no—
743#6106—22no—
744#6106—22no—
745#6106—22no—
746#6106—41no—
747#6106C2×D414yescomplemented
748#6105—22no—
749#6105—22no—
750#6105—41no—
751#6104—22no—
752#6104—22no—
753#6104—22no—
754#6104—22no—
755#6104—22no—
756#6104—22no—
757#6104—41no—
758#6104—41no—
759#6104C2×D414yescomplemented
760#6103—21no—
761#6103—21no—
762#6103—21no—
763#6103—21no—
764#6103—21no—
765#6103—21no—
766#6103—21no—
767#6103—21no—
768#6103—21no—
769#6103—21no—
770#6103—21no—
771#6103—21no—
772#6103—21no—
773#6103—21no—
774#6103—21no—
775#6103C2×D411yescharacteristic
776#6103C2×D411yescharacteristic
777#6103C2×D411yescharacteristic
778#6103C2×D411yescharacteristic
779C4⋊Dic13—21no—
780C4⋊Dic13—21no—
781C4⋊Dic13C2×D411yescharacteristic
782C4⋊Dic13C2411yescharacteristic
783C4⋊Dic13C2411yescharacteristic
784#6101—21no—
785#6101—21no—
786#6101—21no—
787#6101—21no—
788#6101—21no—
789#6101C2×D411yescharacteristic
790#6101C2×D411yescharacteristic
791C4×Dic13—21no—
792C4×Dic13—21no—
793C4×Dic13C2×D411yescharacteristic
794C4×Dic13C2×D411yescharacteristic
795C4×Dic13C2411yescharacteristic
796#6099—22no—
797C2×#1055—22no—
798C2×#1055C2411yescharacteristic
799C2×#1055C2411yescharacteristic
800C2×#1055C2411yescharacteristic
801C2×#1055C2411yescharacteristic
802D104—22no—
803D104—22no—
804D104—22no—
805D104—22no—
806D104—41no—
807D104C2×D414yescomplemented
808#6095—22no—
809#6095—22no—
810#6095—41no—
811#6094—22no—
812#6094—22no—
813#6094—22no—
814#6094—22no—
815#6094—22no—
816#6094C2×D414yescomplemented
817C8×D13—22no—
818C8×D13—22no—
819C22×AGL(1,ℤ/8)—131no—
820C22×AGL(1,ℤ/8)—131no—
821D4×#41—131no—
822C2×D42—131no—
823D4×SD16—131no—
824D4×SD16—131no—
825D4×D8—131no—
826D4×D8—131no—
827#3274—131no—
828#3274—131no—
829#3272—131no—
830#3272—131no—
831#3265—131no—
832#3265—131no—
833#3265—131no—
834#3265D1311yescharacteristic, complemented
835#3264—131no—
836#3264—131no—
837#3264—131no—
838#3264—131no—
839#3151—131no—
840#3055—131no—
841#3055—131no—
842#3038—131no—
843#3036—131no—
844#3006—131no—
845#3006—131no—
846#3003—131no—
847#3003—131no—
848C4×AGL(1,ℤ/8)—131no—
849D4×M16—131no—
850C23×C13—21no—
851C23×C13—21no—
852C23×C13—21no—
853C23×C13—21no—
854C23×C13—42no—
855C23×C13—42no—
856C23×C13—42no—
857C23×C13—42no—
858C23×C13—81no—
859C23×C13—81no—
860C23×C13C22×D411yescharacteristic
861C23×C13C22×D411yescharacteristic
862C22×D13—22no—
863C22×D13—21no—
864C22×D13—21no—
865C22×D13—22no—
866C22×D13—22no—
867C22×D13—24no—
868C22×D13—22no—
869C22×D13—21no—
870C22×D13—21no—
871C22×D13—21no—
872C22×D13—41no—
873C22×D13—41no—
874C22×D13—42no—
875C22×D13—42no—
876C22×D13—42no—
877C22×D13—42no—
878C22×D13—42no—
879C22×D13—42no—
880C22×D13—42no—
881C22×D13—42no—
882C22×D13—42no—
883C22×D13—42no—
884C22×D13—42no—
885C22×D13—42no—
886C22×D13—42no—
887C22×D13—42no—
888C22×D13—42no—
889C22×D13—42no—
890C22×D13—42no—
891C22×D13—42no—
892C22×D13—42no—
893C22×D13—42no—
894C22×D13—42no—
895C22×D13—42no—
896C22×D13—42no—
897C22×D13—42no—
898C22×D13—81no—
899C22×D13—81no—
900C22×D13—81no—
901C22×D13—81no—
902C22×D13—81no—
903C22×D13—81no—
904C22×D13—81no—
905C22×D13—81no—
906C22×D13—816no—
907C22×D13—816no—
908C22×D13C22×D411yescharacteristic
909C22×D13C22×D411yescharacteristic
910C22×D13C22×D411yescharacteristic
911Q8×C13—21no—
912Q8×C13—21no—
913Q8×C13—21no—
914Q8×C13—42no—
915Q8×C13C22×D412yescomplemented
916D4×C13—22no—
917D4×C13—21no—
918D4×C13—21no—
919D4×C13—21no—
920D4×C13—21no—
921D4×C13—21no—
922D4×C13—21no—
923D4×C13—21no—
924D4×C13—42no—
925D4×C13—42no—
926D4×C13—42no—
927D4×C13—42no—
928D4×C13—42no—
929D4×C13—42no—
930D4×C13—42no—
931D4×C13—81no—
932D4×C13C22×D412yes—
933C2×C4×C13—21no—
934C2×C4×C13—21no—
935C2×C4×C13—21no—
936C2×C4×C13—21no—
937C2×C4×C13—21no—
938C2×C4×C13—21no—
939C2×C4×C13—21no—
940C2×C4×C13—21no—
941C2×C4×C13—42no—
942C2×C4×C13—42no—
943C2×C4×C13—42no—
944C2×C4×C13C22×D411yescharacteristic
945C2×C4×C13C22×D411yescharacteristic
946C2×C4×C13C22×D411yescharacteristic
947C2×C4×C13C22×D411yescharacteristic
948C2×C4×C13C2511yescharacteristic
949C22⋊D13—24no—
950C22⋊D13—22no—
951C22⋊D13—42no—
952C22⋊D13—42no—
953C22⋊D13—42no—
954C22⋊D13—42no—
955C22⋊D13—42no—
956C22⋊D13—42no—
957C22⋊D13—42no—
958C22⋊D13—42no—
959C22⋊D13—42no—
960C22⋊D13—42no—
961C22⋊D13—42no—
962C22⋊D13—42no—
963C22⋊D13—42no—
964C22⋊D13—42no—
965C22⋊D13—42no—
966C22⋊D13—42no—
967C22⋊D13—81no—
968C22⋊D13—81no—
969C22⋊D13—81no—
970C22⋊D13—81no—
971C22⋊D13—81no—
972C22⋊D13AGL(1,ℤ/8)14yescomplemented
973C2×Dic13—22no—
974C2×Dic13—22no—
975C2×Dic13—21no—
976C2×Dic13—21no—
977C2×Dic13—21no—
978C2×Dic13—42no—
979C2×Dic13—42no—
980C2×Dic13C22×D411yescharacteristic
981C2×Dic13C22×D411yescharacteristic
982C2×Dic13C22×D411yescharacteristic
983C2×Dic13C22×D411yescharacteristic
984C2×Dic13C22×D411yescharacteristic
985D52—24no—
986D52—22no—
987D52—21no—
988D52—21no—
989D52—21no—
990D52—21no—
991D52—21no—
992D52—21no—
993D52—21no—
994D52—21no—
995D52—42no—
996D52—42no—
997D52—42no—
998D52—42no—
999D52—42no—
1000D52—42no—
1001D52—42no—
1002D52—42no—
1003D52—42no—
1004D52—42no—
1005D52—81no—
1006D52C22×D412yes—
1007D52C22×D412yescomplemented
1008C4×D13—22no—
1009C4×D13—22no—
1010C4×D13—21no—
1011C4×D13—21no—
1012C4×D13—21no—
1013C4×D13—21no—
1014C4×D13—22no—
1015C4×D13—22no—
1016C4×D13—24no—
1017C4×D13—22no—
1018C4×D13—41no—
1019C4×D13—42no—
1020C4×D13—42no—
1021C4×D13—42no—
1022C4×D13—42no—
1023C4×D13—42no—
1024C4×D13—42no—
1025C4×D13—42no—
1026C4×D13—42no—
1027C4×D13—42no—
1028C4×D13—81no—
1029C4×D13C22×D412yes—
1030C4×D13H(5,𝔽2)12yes—
1031Dic26—21no—
1032Dic26—21no—
1033Dic26—42no—
1034C8×C13—21no—
1035C8×C13—21no—
1036C8×C13—21no—
1037C8×C13C22×D412yescomplemented
1038#1055—21no—
1039#1055—21no—
1040#1055—21no—
1041#1055C22×D412yescomplemented
1042C22×#41—131no—
1043C22×#41—131no—
1044C23×D4—131no—
1045C23×D4—131no—
1046C23×D4—261no—
1047C2×AGL(1,ℤ/8)—131no—
1048C2×AGL(1,ℤ/8)—131no—
1049C2×AGL(1,ℤ/8)—131no—
1050C2×AGL(1,ℤ/8)—131no—
1051C2×AGL(1,ℤ/8)—131no—
1052C2×AGL(1,ℤ/8)—131no—
1053C2×AGL(1,ℤ/8)—131no—
1054C2×AGL(1,ℤ/8)—131no—
1055C2×AGL(1,ℤ/8)—131no—
1056C2×AGL(1,ℤ/8)—131no—
1057C2×AGL(1,ℤ/8)—131no—
1058C2×AGL(1,ℤ/8)—131no—
1059C2×AGL(1,ℤ/8)—131no—
1060C2×AGL(1,ℤ/8)—131no—
1061C2×AGL(1,ℤ/8)—131no—
1062C2×AGL(1,ℤ/8)—131no—
1063C2×AGL(1,ℤ/8)—268no—
1064C2×AGL(1,ℤ/8)—268no—
1065C2×AGL(1,ℤ/8)C2×D1311yescharacteristic, complemented
1066C22×SD16—131no—
1067C22×SD16—131no—
1068C22×SD16—131no—
1069C22×SD16C2×D1311yescharacteristic, complemented
1070C22×D8—131no—
1071C22×D8—131no—
1072C22×D8—131no—
1073C22×D8—131no—
1074C22×M16—131no—
1075C22×M16—131no—
1076#550—131no—
1077D4×Q8—131no—
1078#548—131no—
1079#548C2×D1311yescharacteristic, complemented
1080#547—131no—
1081#547—261no—
1082#546—131no—
1083#546—131no—
1084#546—261no—
1085#546—261no—
1086D42—131no—
1087D42—131no—
1088D42—131no—
1089D42—131no—
1090D42—131no—
1091D42—131no—
1092D42—131no—
1093D42—131no—
1094D42—261no—
1095D42—261no—
1096D42—261no—
1097D42—261no—
1098D42—261no—
1099D42C2×D1311yescharacteristic, complemented
1100#532—131no—
1101#532—261no—
1102C2×#127—131no—
1103#525—131no—
1104#525—131no—
1105#525—261no—
1106#525—261no—
1107C2×#121—131no—
1108C2×#121—131no—
1109C2×#121—261no—
1110C2×#120—261no—
1111C2×#120—261no—
1112C4×#41—131no—
1113C2×C4×D4—131no—
1114C2×C4×D4—131no—
1115C2×C4×D4—261no—
1116#496—131no—
1117#496—131no—
1118#496—131no—
1119#496C2×D1311yescharacteristic, complemented
1120#493—131no—
1121#493—131no—
1122#492—131no—
1123#492—131no—
1124#469—131no—
1125#469—131no—
1126#469—131no—
1127#469—131no—
1128#468—131no—
1129#468—131no—
1130#468—131no—
1131#468C2×D1311yescharacteristic, complemented
1132#466—131no—
1133#466—131no—
1134#466—131no—
1135#466C2×D1311yescharacteristic, complemented
1136#465—131no—
1137#465—131no—
1138#465—131no—
1139#465—131no—
1140#463—131no—
1141#463—131no—
1142#463—131no—
1143#463C2×D1311yescharacteristic, complemented
1144#461—131no—
1145#461—131no—
1146#460—131no—
1147#460—131no—
1148#460—131no—
1149#460C2×D1311yescharacteristic, complemented
1150#459—131no—
1151#459—131no—
1152#459—131no—
1153#459—131no—
1154#459—131no—
1155#459—131no—
1156#450—131no—
1157#450—131no—
1158#450—131no—
1159#450—131no—
1160#450—131no—
1161#450—131no—
1162#450—131no—
1163#450C2×D1311yescharacteristic, complemented
1164#449—131no—
1165#449—131no—
1166#449—131no—
1167#449—131no—
1168#449—131no—
1169#449—131no—
1170#449—131no—
1171#449C2×D1311yescharacteristic, complemented
1172#448—131no—
1173#448—131no—
1174#448—131no—
1175#448C2×D1311yescharacteristic, complemented
1176#447—131no—
1177#447—131no—
1178#447—131no—
1179#447—131no—
1180#447—131no—
1181#447—131no—
1182#447—131no—
1183#447—131no—
1184#447—131no—
1185#447—131no—
1186#447—131no—
1187#447C2×D1311yescharacteristic, complemented
1188#442—131no—
1189#442—131no—
1190#440—131no—
1191#440C2×D1311yescharacteristic, complemented
1192C4×SD16—131no—
1193C4×SD16—131no—
1194C4×D8—131no—
1195C4×D8—131no—
1196#436—131no—
1197#436—131no—
1198#435—131no—
1199#435—131no—
1200#435—131no—
1201#435C2×D1311yescharacteristic, complemented
1202C8×D4—131no—
1203C8×D4—131no—
1204#428—131no—
1205#423—131no—
1206#418—131no—
1207#418—131no—
1208#418—131no—
1209#417—131no—
1210#417—131no—
1211#417—131no—
1212#407—131no—
1213#407—131no—
1214C4×M16—131no—
1215C22×C13—21no—
1216C22×C13—21no—
1217C22×C13—21no—
1218C22×C13—21no—
1219C22×C13—22no—
1220C22×C13—21no—
1221C22×C13—41no—
1222C22×C13—41no—
1223C22×C13—41no—
1224C22×C13—41no—
1225C22×C13—41no—
1226C22×C13—41no—
1227C22×C13—41no—
1228C22×C13—41no—
1229C22×C13—41no—
1230C22×C13—41no—
1231C22×C13—41no—
1232C22×C13—84no—
1233C22×C13—84no—
1234C22×C13C2×AGL(1,ℤ/8)12yescomplemented
1235C22×C13C23×D411yescharacteristic
1236C2×D13—21no—
1237C2×D13—21no—
1238C2×D13—21no—
1239C2×D13—21no—
1240C2×D13—21no—
1241C2×D13—21no—
1242C2×D13—22no—
1243C2×D13—22no—
1244C2×D13—21no—
1245C2×D13—44no—
1246C2×D13—44no—
1247C2×D13—48no—
1248C2×D13—41no—
1249C2×D13—41no—
1250C2×D13—41no—
1251C2×D13—41no—
1252C2×D13—41no—
1253C2×D13—41no—
1254C2×D13—41no—
1255C2×D13—41no—
1256C2×D13—41no—
1257C2×D13—41no—
1258C2×D13—41no—
1259C2×D13—41no—
1260C2×D13—41no—
1261C2×D13—84no—
1262C2×D13—84no—
1263C2×D13—84no—
1264C2×D13—84no—
1265C2×D13—84no—
1266C2×D13—84no—
1267C2×D13—84no—
1268C2×D13—84no—
1269C2×D13—84no—
1270C2×D13—84no—
1271C2×D13D4212yes—
1272C2×D13C2×AGL(1,ℤ/8)12yescomplemented
1273C4×C13—21no—
1274C4×C13—22no—
1275C4×C13—21no—
1276C4×C13—21no—
1277C4×C13—21no—
1278C4×C13—41no—
1279C4×C13—41no—
1280C4×C13—41no—
1281C4×C13C23×D411yescharacteristic
1282C4×C13C2×H(5,𝔽2)11yescharacteristic
1283Dic13—21no—
1284Dic13—21no—
1285Dic13—21no—
1286Dic13—41no—
1287Dic13—41no—
1288Dic13—41no—
1289Dic13D4212yes—
1290Dic13C2×AGL(1,ℤ/8)12yescomplemented
1291C25—261no—
1292C25—261no—
1293C2×#41—131no—
1294C2×#41—131no—
1295C2×#41—131no—
1296C2×#41—131no—
1297C2×#41—131no—
1298C2×#41—131no—
1299C2×#41—261no—
1300C2×#41—261no—
1301C2×#41—261no—
1302C2×#41—261no—
1303C2×#41—264no—
1304C2×#41—264no—
1305C2×#41—522no—
1306C2×#41—522no—
1307C2×#41C22×D1311yescharacteristic, complemented
1308C22×Q8—131no—
1309C22×Q8C22×D1311yescharacteristic, complemented
1310C22×D4—21no—
1311C22×D4—131no—
1312C22×D4—131no—
1313C22×D4—131no—
1314C22×D4—131no—
1315C22×D4—131no—
1316C22×D4—131no—
1317C22×D4—131no—
1318C22×D4—131no—
1319C22×D4—131no—
1320C22×D4—131no—
1321C22×D4—131no—
1322C22×D4—131no—
1323C22×D4—261no—
1324C22×D4—261no—
1325C22×D4—261no—
1326C22×D4—261no—
1327C22×D4—261no—
1328C22×D4—261no—
1329C22×D4—261no—
1330C22×D4—261no—
1331C22×D4—261no—
1332C22×D4—261no—
1333C22×D4—264no—
1334C22×D4—264no—
1335C22×D4—261no—
1336C22×D4—261no—
1337C22×D4—261no—
1338C22×D4—261no—
1339C22×D4—261no—
1340C22×D4—261no—
1341C22×D4—261no—
1342C22×D4—261no—
1343C22×D4—261no—
1344C22×D4—261no—
1345C22×D4—522no—
1346C22×D4—522no—
1347C22×D4—528no—
1348C22×D4C22×D1311yescharacteristic
1349C22×D4C22×D1311yescharacteristic
1350C23×C4—131no—
1351C23×C4—131no—
1352C23×C4—261no—
1353C23×C4—261no—
1354C23×C4—261no—
1355AGL(1,ℤ/8)—24no—
1356AGL(1,ℤ/8)—138no—
1357AGL(1,ℤ/8)—264no—
1358AGL(1,ℤ/8)—264no—
1359AGL(1,ℤ/8)—264no—
1360AGL(1,ℤ/8)—264no—
1361AGL(1,ℤ/8)—264no—
1362AGL(1,ℤ/8)—264no—
1363AGL(1,ℤ/8)—264no—
1364AGL(1,ℤ/8)—264no—
1365AGL(1,ℤ/8)—264no—
1366AGL(1,ℤ/8)—264no—
1367AGL(1,ℤ/8)—264no—
1368AGL(1,ℤ/8)—264no—
1369AGL(1,ℤ/8)—264no—
1370AGL(1,ℤ/8)—522no—
1371AGL(1,ℤ/8)—522no—
1372C2×SD16—24no—
1373C2×SD16—131no—
1374C2×SD16—131no—
1375C2×SD16—131no—
1376C2×SD16—131no—
1377C2×SD16—131no—
1378C2×SD16—131no—
1379C2×SD16—131no—
1380C2×SD16—131no—
1381C2×SD16—131no—
1382C2×SD16—131no—
1383C2×SD16—131no—
1384C2×SD16—131no—
1385C2×SD16—264no—
1386C2×SD16—264no—
1387C2×SD16—264no—
1388C2×SD16C22×D1311yescharacteristic
1389C2×SD16C22×D1311yescharacteristic
1390C2×SD16C22×D1311yescharacteristic, complemented
1391C2×SD16C22×D1311yescharacteristic, complemented
1392C2×SD16C22×D1311yescharacteristic, complemented
1393C2×SD16C22×D1311yescharacteristic, complemented
1394C2×D8—131no—
1395C2×D8—131no—
1396C2×D8—131no—
1397C2×D8—131no—
1398C2×D8—131no—
1399C2×D8—131no—
1400C2×D8—131no—
1401C2×D8—131no—
1402C2×D8—131no—
1403C2×D8—131no—
1404C2×D8—131no—
1405C2×D8—131no—
1406C2×D8—131no—
1407C2×D8—131no—
1408C2×D8—131no—
1409C2×D8—264no—
1410C2×D8—264no—
1411C2×D8—264no—
1412C2×D8—264no—
1413C2×D8C22×D1311yescharacteristic
1414C2×D8C22×D1311yescharacteristic, complemented
1415C2×D8C22×D1311yescharacteristic, complemented
1416C2×M16—131no—
1417C2×M16—131no—
1418C2×M16—131no—
1419C2×M16—131no—
1420C2×M16—131no—
1421C2×M16—131no—
1422C2×M16—131no—
1423C2×M16—264no—
1424C2×M16—264no—
1425C2×M16C22×D1311yescharacteristic, complemented
1426C22×C8—131no—
1427C22×C8—131no—
1428C22×C8—131no—
1429C22×C8C22×D1311yescharacteristic, complemented
1430C4⋊Q8—131no—
1431C4⋊Q8—261no—
1432#127—131no—
1433#127—131no—
1434#127—131no—
1435#127—131no—
1436#127—261no—
1437#127—261no—
1438#127—261no—
1439#127C22×D1311yescharacteristic
1440#124—21no—
1441#124—131no—
1442#124—261no—
1443#124C22×D1311yescharacteristic, complemented
1444#123—261no—
1445#123—261no—
1446#123—261no—
1447#123—261no—
1448#123—261no—
1449#123—261no—
1450C22⋊Q8—21no—
1451C22⋊Q8—131no—
1452C22⋊Q8—131no—
1453C22⋊Q8—131no—
1454C22⋊Q8—261no—
1455C22⋊Q8—261no—
1456C22⋊Q8—261no—
1457C22⋊Q8C22×D1311yescharacteristic, complemented
1458#121—21no—
1459#121—21no—
1460#121—131no—
1461#121—131no—
1462#121—131no—
1463#121—131no—
1464#121—131no—
1465#121—131no—
1466#121—131no—
1467#121—131no—
1468#121—131no—
1469#121—261no—
1470#121—261no—
1471#121—261no—
1472#121—261no—
1473#121—261no—
1474#121—261no—
1475#121—261no—
1476#121—261no—
1477#121—261no—
1478#121—261no—
1479#121—261no—
1480#121—261no—
1481#121—261no—
1482#121—261no—
1483#121—261no—
1484#121—261no—
1485#121—261no—
1486#121—261no—
1487#121—261no—
1488#121—261no—
1489#121C22×D1311yescharacteristic
1490#121C22×D1311yescharacteristic
1491#121C22×D1311yescharacteristic, complemented
1492#120—21no—
1493#120—21no—
1494#120—261no—
1495#120—261no—
1496#120—261no—
1497#120—261no—
1498#120—261no—
1499#120—261no—
1500#120—261no—
1501#120—261no—
1502#120—261no—
1503#120—261no—
1504#120—261no—
1505#120—261no—
1506#120—261no—
1507#120—261no—
1508#120—261no—
1509#120—261no—
1510#120—261no—
1511#120—261no—
1512#120—261no—
1513#120—261no—
1514C4×Q8—131no—
1515C4×Q8C22×D1311yescharacteristic, complemented
1516C4×D4—21no—
1517C4×D4—131no—
1518C4×D4—131no—
1519C4×D4—131no—
1520C4×D4—131no—
1521C4×D4—131no—
1522C4×D4—131no—
1523C4×D4—131no—
1524C4×D4—131no—
1525C4×D4—131no—
1526C4×D4—131no—
1527C4×D4—131no—
1528C4×D4—131no—
1529C4×D4—261no—
1530C4×D4—261no—
1531C4×D4—261no—
1532C4×D4—261no—
1533C4×D4—261no—
1534C4×D4—261no—
1535C4×D4—261no—
1536C4×D4—261no—
1537C4×D4—261no—
1538C4×D4—261no—
1539C4×D4—261no—
1540C4×D4—261no—
1541C4×D4—261no—
1542C4×D4C22×D1311yescharacteristic
1543C4×D4C22×D1311yescharacteristic
1544#117—131no—
1545#117—261no—
1546C2×C4⋊C4—131no—
1547C2×C4⋊C4—131no—
1548C2×C4⋊C4—261no—
1549C2×C22⋊C4—131no—
1550C2×C22⋊C4—131no—
1551C2×C22⋊C4—261no—
1552C2×C22⋊C4—261no—
1553C2×C22⋊C4—261no—
1554C2×C22⋊C4—261no—
1555C2×C22⋊C4—261no—
1556C2×C42—131no—
1557C2×C42—261no—
1558#107—131no—
1559#107C22×D1311yescharacteristic, complemented
1560#106—131no—
1561#106—131no—
1562C4⋊C8—131no—
1563C4⋊C8—131no—
1564C4⋊C8—131no—
1565C4⋊C8C22×D1311yescharacteristic, complemented
1566#103—131no—
1567#103—131no—
1568#103—131no—
1569#103—131no—
1570#103C22×D1311yescharacteristic, complemented
1571#103C22×D1311yescharacteristic, complemented
1572#102—131no—
1573#102—131no—
1574#102—131no—
1575#102—131no—
1576#102—131no—
1577#102—131no—
1578#102—131no—
1579#102—131no—
1580#102—131no—
1581#102—131no—
1582#102—131no—
1583#102—131no—
1584#102—131no—
1585#102—131no—
1586#102C22×D1311yescharacteristic
1587#102C22×D1311yescharacteristic, complemented
1588#102C22×D1311yescharacteristic, complemented
1589#102C22×D1311yescharacteristic, complemented
1590C22⋊C8—131no—
1591C22⋊C8—131no—
1592C22⋊C8—131no—
1593C22⋊C8—131no—
1594C22⋊C8—131no—
1595C22⋊C8—131no—
1596C22⋊C8C22×D1311yescharacteristic, complemented
1597C22⋊C8C22×D1311yescharacteristic, complemented
1598#97—131no—
1599#97C22×D1311yescharacteristic, complemented
1600C4×C8—131no—
1601C4×C8—131no—
1602C2×C13—22no—
1603C2×C13—41no—
1604C2×C13—42no—
1605C2×C13—81no—
1606C2×C13—81no—
1607C2×C13—81no—
1608C2×C13C2×D4211yescharacteristic
1609C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1610C2×C13#358511yescharacteristic
1611D13—22no—
1612D13—22no—
1613D13—41no—
1614D13—42no—
1615D13—42no—
1616D13—81no—
1617D13—81no—
1618D13—81no—
1619C24—21no—
1620C24—21no—
1621C24—131no—
1622C24—131no—
1623C24—261no—
1624C24—261no—
1625C24—261no—
1626C24—261no—
1627C24—261no—
1628C24—261no—
1629C24—261no—
1630C24—261no—
1631C24—261no—
1632C24—261no—
1633C24—261no—
1634C24—524no—
1635C24—524no—
1636C24—524no—
1637C24—524no—
1638C24—1042no—
1639C24—1042no—
1640#41—22no—
1641#41—41no—
1642#41—134no—
1643#41—262no—
1644#41—262no—
1645#41—262no—
1646#41—262no—
1647#41—262no—
1648#41—262no—
1649#41—262no—
1650#41—262no—
1651#41—521no—
1652#41—524no—
1653#41—524no—
1654#41—524no—
1655#41—521no—
1656#41—521no—
1657#41—524no—
1658C2×Q8—21no—
1659C2×Q8—22no—
1660C2×Q8—41no—
1661C2×Q8—131no—
1662C2×Q8—261no—
1663C2×Q8—262no—
1664C2×Q8—521no—
1665C2×Q8C23×D1311yescharacteristic
1666C2×Q8C23×D1311yescharacteristic
1667C2×D4—22no—
1668C2×D4—22no—
1669C2×D4—21no—
1670C2×D4—21no—
1671C2×D4—21no—
1672C2×D4—21no—
1673C2×D4—21no—
1674C2×D4—21no—
1675C2×D4—21no—
1676C2×D4—21no—
1677C2×D4—41no—
1678C2×D4—41no—
1679C2×D4—44no—
1680C2×D4—131no—
1681C2×D4—134no—
1682C2×D4—131no—
1683C2×D4—131no—
1684C2×D4—131no—
1685C2×D4—131no—
1686C2×D4—131no—
1687C2×D4—131no—
1688C2×D4—131no—
1689C2×D4—262no—
1690C2×D4—262no—
1691C2×D4—262no—
1692C2×D4—261no—
1693C2×D4—261no—
1694C2×D4—261no—
1695C2×D4—261no—
1696C2×D4—261no—
1697C2×D4—261no—
1698C2×D4—261no—
1699C2×D4—262no—
1700C2×D4—262no—
1701C2×D4—262no—
1702C2×D4—262no—
1703C2×D4—262no—
1704C2×D4—261no—
1705C2×D4—261no—
1706C2×D4—261no—
1707C2×D4—261no—
1708C2×D4—261no—
1709C2×D4—261no—
1710C2×D4—261no—
1711C2×D4—261no—
1712C2×D4—261no—
1713C2×D4—261no—
1714C2×D4—261no—
1715C2×D4—261no—
1716C2×D4—261no—
1717C2×D4—261no—
1718C2×D4—264no—
1719C2×D4—262no—
1720C2×D4—262no—
1721C2×D4—262no—
1722C2×D4—262no—
1723C2×D4—262no—
1724C2×D4—261no—
1725C2×D4—261no—
1726C2×D4—261no—
1727C2×D4—261no—
1728C2×D4—261no—
1729C2×D4—261no—
1730C2×D4—261no—
1731C2×D4—261no—
1732C2×D4—261no—
1733C2×D4—261no—
1734C2×D4—261no—
1735C2×D4—261no—
1736C2×D4—261no—
1737C2×D4—521no—
1738C2×D4—521no—
1739C2×D4—521no—
1740C2×D4—524no—
1741C2×D4—524no—
1742C2×D4—521no—
1743C2×D4—521no—
1744C2×D4—521no—
1745C2×D4—521no—
1746C2×D4—521no—
1747C2×D4—524no—
1748C2×D4—524no—
1749C2×D4—524no—
1750C2×D4—524no—
1751C2×D4—524no—
1752C2×D4—524no—
1753C2×D4—524no—
1754C2×D4—524no—
1755C2×D4—524no—
1756C2×D4—524no—
1757C2×D4—524no—
1758C2×D4—524no—
1759C2×D4—524no—
1760C2×D4—524no—
1761C2×D4—524no—
1762C2×D4—524no—
1763C2×D4—524no—
1764C2×D4—1042no—
1765C2×D4D4×D1311yescharacteristic
1766C2×D4C23×D1311yescharacteristic
1767C2×D4C23×D1311yescharacteristic
1768C2×D4C23×D1311yescharacteristic
1769C2×D4C23×D1311yescharacteristic
1770C22×C4—21no—
1771C22×C4—21no—
1772C22×C4—21no—
1773C22×C4—131no—
1774C22×C4—131no—
1775C22×C4—131no—
1776C22×C4—131no—
1777C22×C4—131no—
1778C22×C4—131no—
1779C22×C4—131no—
1780C22×C4—131no—
1781C22×C4—131no—
1782C22×C4—131no—
1783C22×C4—131no—
1784C22×C4—261no—
1785C22×C4—262no—
1786C22×C4—262no—
1787C22×C4—262no—
1788C22×C4—262no—
1789C22×C4—261no—
1790C22×C4—261no—
1791C22×C4—261no—
1792C22×C4—261no—
1793C22×C4—261no—
1794C22×C4—261no—
1795C22×C4—261no—
1796C22×C4—261no—
1797C22×C4—261no—
1798C22×C4—261no—
1799C22×C4—261no—
1800C22×C4—261no—
1801C22×C4—524no—
1802C22×C4—524no—
1803C22×C4—524no—
1804C22×C4C23×D1311yescharacteristic
1805C22×C4C23×D1311yescharacteristic
1806SD16—22no—
1807SD16—22no—
1808SD16—22no—
1809SD16—22no—
1810SD16—41no—
1811SD16—134no—
1812SD16—262no—
1813SD16—262no—
1814SD16—262no—
1815SD16—262no—
1816SD16—262no—
1817SD16—262no—
1818SD16—262no—
1819SD16—262no—
1820SD16—521no—
1821SD16—521no—
1822SD16—521no—
1823SD16D4×D1314yescomplemented
1824D8—22no—
1825D8—22no—
1826D8—41no—
1827D8—134no—
1828D8—134no—
1829D8—262no—
1830D8—262no—
1831D8—262no—
1832D8—262no—
1833D8—262no—
1834D8—262no—
1835D8—262no—
1836D8—262no—
1837D8—262no—
1838D8—262no—
1839D8—521no—
1840D8—521no—
1841D8—521no—
1842M16—22no—
1843M16—134no—
1844M16—262no—
1845M16—262no—
1846M16—262no—
1847M16—262no—
1848M16—262no—
1849M16—262no—
1850C2×C8—22no—
1851C2×C8—131no—
1852C2×C8—131no—
1853C2×C8—131no—
1854C2×C8—131no—
1855C2×C8—262no—
1856C2×C8—262no—
1857C2×C8—262no—
1858C2×C8C23×D1311yescharacteristic
1859C2×C8C23×D1311yescharacteristic
1860C2×C8C23×D1311yescharacteristic
1861C2×C8C23×D1311yescharacteristic
1862C4⋊C4—21no—
1863C4⋊C4—21no—
1864C4⋊C4—131no—
1865C4⋊C4—131no—
1866C4⋊C4—131no—
1867C4⋊C4—131no—
1868C4⋊C4—131no—
1869C4⋊C4—261no—
1870C4⋊C4—261no—
1871C4⋊C4—261no—
1872C4⋊C4—261no—
1873C4⋊C4—261no—
1874C4⋊C4—261no—
1875C4⋊C4—261no—
1876C4⋊C4D4×D1311yescharacteristic
1877C4⋊C4C23×D1311yescharacteristic
1878C4⋊C4C23×D1311yescharacteristic
1879C22⋊C4—21no—
1880C22⋊C4—21no—
1881C22⋊C4—21no—
1882C22⋊C4—21no—
1883C22⋊C4—21no—
1884C22⋊C4—21no—
1885C22⋊C4—21no—
1886C22⋊C4—131no—
1887C22⋊C4—131no—
1888C22⋊C4—131no—
1889C22⋊C4—131no—
1890C22⋊C4—131no—
1891C22⋊C4—131no—
1892C22⋊C4—261no—
1893C22⋊C4—261no—
1894C22⋊C4—261no—
1895C22⋊C4—261no—
1896C22⋊C4—261no—
1897C22⋊C4—261no—
1898C22⋊C4—261no—
1899C22⋊C4—261no—
1900C22⋊C4—261no—
1901C22⋊C4—261no—
1902C22⋊C4—261no—
1903C22⋊C4—261no—
1904C22⋊C4—261no—
1905C22⋊C4—261no—
1906C22⋊C4—261no—
1907C22⋊C4—261no—
1908C22⋊C4—261no—
1909C22⋊C4—261no—
1910C22⋊C4—261no—
1911C22⋊C4—261no—
1912C22⋊C4D4×D1311yescharacteristic
1913C22⋊C4D4×D1311yescharacteristic
1914C42—21no—
1915C42—131no—
1916C42—131no—
1917C42—131no—
1918C42—261no—
1919C42—261no—
1920C42C23×D1311yescharacteristic
1921C13D4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
1922C23—21no—
1923C23—21no—
1924C23—21no—
1925C23—21no—
1926C23—42no—
1927C23—42no—
1928C23—42no—
1929C23—42no—
1930C23—81no—
1931C23—81no—
1932C23—131no—
1933C23—131no—
1934C23—131no—
1935C23—262no—
1936C23—262no—
1937C23—264no—
1938C23—262no—
1939C23—262no—
1940C23—261no—
1941C23—261no—
1942C23—261no—
1943C23—261no—
1944C23—261no—
1945C23—521no—
1946C23—521no—
1947C23—522no—
1948C23—522no—
1949C23—522no—
1950C23—522no—
1951C23—522no—
1952C23—522no—
1953C23—522no—
1954C23—522no—
1955C23—522no—
1956C23—522no—
1957C23—522no—
1958C23—522no—
1959C23—522no—
1960C23—522no—
1961C23—522no—
1962C23—522no—
1963C23—522no—
1964C23—522no—
1965C23—522no—
1966C23—522no—
1967C23—522no—
1968C23—522no—
1969C23—522no—
1970C23—522no—
1971C23—1041no—
1972C23—1041no—
1973C23—1041no—
1974C23—1041no—
1975C23—1041no—
1976C23—1041no—
1977C23—1041no—
1978C23—1041no—
1979C23—10416no—
1980C23—10416no—
1981C23C2×D4×D1311yescharacteristic
1982C23C2×D4×D1311yescharacteristic
1983Q8—21no—
1984Q8—21no—
1985Q8—21no—
1986Q8—42no—
1987Q8—261no—
1988Q8—261no—
1989Q8—522no—
1990Q8C2×D4×D1312yescomplemented
1991D4—22no—
1992D4—21no—
1993D4—21no—
1994D4—21no—
1995D4—21no—
1996D4—21no—
1997D4—21no—
1998D4—21no—
1999D4—42no—
2000D4—42no—
2001D4—42no—
2002D4—42no—
2003D4—42no—
2004D4—42no—
2005D4—42no—
2006D4—81no—
2007D4—134no—
2008D4—132no—
2009D4—132no—
2010D4—262no—
2011D4—264no—
2012D4—264no—
2013D4—262no—
2014D4—261no—
2015D4—261no—
2016D4—261no—
2017D4—261no—
2018D4—261no—
2019D4—261no—
2020D4—261no—
2021D4—261no—
2022D4—522no—
2023D4—522no—
2024D4—522no—
2025D4—522no—
2026D4—522no—
2027D4—522no—
2028D4—522no—
2029D4—522no—
2030D4—522no—
2031D4—522no—
2032D4—522no—
2033D4—522no—
2034D4—522no—
2035D4—522no—
2036D4—522no—
2037D4—522no—
2038D4—522no—
2039D4—522no—
2040D4—522no—
2041D4—522no—
2042D4—522no—
2043D4—522no—
2044D4—522no—
2045D4—522no—
2046D4—522no—
2047D4—522no—
2048D4—1041no—
2049D4—1041no—
2050D4—1041no—
2051D4—1041no—
2052D4—1041no—
2053D4—1041no—
2054D4C2×D4×D1312yes—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—42no—
2064C2×C4—42no—
2065C2×C4—42no—
2066C2×C4—131no—
2067C2×C4—131no—
2068C2×C4—132no—
2069C2×C4—132no—
2070C2×C4—131no—
2071C2×C4—131no—
2072C2×C4—131no—
2073C2×C4—262no—
2074C2×C4—262no—
2075C2×C4—262no—
2076C2×C4—264no—
2077C2×C4—262no—
2078C2×C4—262no—
2079C2×C4—262no—
2080C2×C4—262no—
2081C2×C4—261no—
2082C2×C4—261no—
2083C2×C4—261no—
2084C2×C4—261no—
2085C2×C4—261no—
2086C2×C4—261no—
2087C2×C4—261no—
2088C2×C4—521no—
2089C2×C4—522no—
2090C2×C4—522no—
2091C2×C4—522no—
2092C2×C4—522no—
2093C2×C4—522no—
2094C2×C4—522no—
2095C2×C4—522no—
2096C2×C4—522no—
2097C2×C4—522no—
2098C2×C4—522no—
2099C2×C4—522no—
2100C2×C4—1041no—
2101C2×C4C2×D4×D1311yescharacteristic
2102C2×C4C2×D4×D1311yescharacteristic
2103C2×C4C2×D4×D1311yescharacteristic
2104C2×C4C2×D4×D1311yescharacteristic
2105C2×C4C24×D1311yescharacteristic
2106C8—21no—
2107C8—21no—
2108C8—21no—
2109C8—132no—
2110C8—261no—
2111C8—261no—
2112C8—261no—
2113C8C2×D4×D1312yescomplemented
2114C22—21no—
2115C22—21no—
2116C22—21no—
2117C22—22no—
2118C22—21no—
2119C22—21no—
2120C22—41no—
2121C22—41no—
2122C22—41no—
2123C22—41no—
2124C22—41no—
2125C22—41no—
2126C22—41no—
2127C22—41no—
2128C22—41no—
2129C22—41no—
2130C22—41no—
2131C22—84no—
2132C22—84no—
2133C22—132no—
2134C22—132no—
2135C22—261no—
2136C22—261no—
2137C22—261no—
2138C22—261no—
2139C22—261no—
2140C22—262no—
2141C22—262no—
2142C22—261no—
2143C22—261no—
2144C22—524no—
2145C22—524no—
2146C22—528no—
2147C22—521no—
2148C22—521no—
2149C22—521no—
2150C22—521no—
2151C22—521no—
2152C22—521no—
2153C22—521no—
2154C22—521no—
2155C22—521no—
2156C22—521no—
2157C22—521no—
2158C22—521no—
2159C22—521no—
2160C22—1044no—
2161C22—1044no—
2162C22—1044no—
2163C22—1044no—
2164C22—1044no—
2165C22—1044no—
2166C22—1044no—
2167C22—1044no—
2168C22—1044no—
2169C22—1044no—
2170C22D13×AGL(1,ℤ/8)12yescomplemented
2171C22C22×D4×D1311yescharacteristic
2172C4—21no—
2173C4—21no—
2174C4—22no—
2175C4—21no—
2176C4—21no—
2177C4—41no—
2178C4—41no—
2179C4—41no—
2180C4—132no—
2181C4—132no—
2182C4—261no—
2183C4—261no—
2184C4—261no—
2185C4—521no—
2186C4—521no—
2187C4—521no—
2188C4C22×D4×D1311yescharacteristic
2189C4D13×H(5,𝔽2)11yescharacteristic
2190C2—22no—
2191C2—41no—
2192C2—42no—
2193C2—81no—
2194C2—81no—
2195C2—81no—
2196C2—262no—
2197C2—262no—
2198C2—521no—
2199C2—522no—
2200C2—522no—
2201C2—1041no—
2202C2—1041no—
2203C2—1041no—
2204C2D42×D1311yescharacteristic
2205C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
2206C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3265C2
socleC22×C13C23×D4
hypercenter#3265D13
hypocenterC13D4×AGL(1,ℤ/8)
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. C22×#88168C2semidirect
2. C2×D13×AGL(1,ℤ/8)C2semidirect
3. #13128325C2semidirect
4. D42×D13C2semidirect
5. SD16×C22⋊D13C2semidirect
6. #13126525C2semidirect
7. #13126510C2semidirect
8. #13126506C2semidirect
9. #13126450C2semidirect
10. #13126449C2semidirect
11. #13126434C2semidirect
12. #13126433C2semidirect
13. #13126333C2semidirect
14. #13126332C2semidirect
15. #13126326C2semidirect
16. #13126322C2semidirect
17. #13126321C2semidirect
18. #13126315C2semidirect
19. #13126312C2semidirect
20. #13125285C2semidirect
21. #13124452C2semidirect
22. #13124450C2semidirect
23. #13124313C2semidirect
24. #13124298C2semidirect
25. #13124087C2semidirect
26. #13124085C2semidirect
27. #13124064C2semidirect
28. #13124060C2semidirect
29. #13123641C2semidirect
30. #13123569C2semidirect
31. C13×#3265C2semidirect
32. C2×#41×D13C22semidirect
33. C22×#6131C22semidirect
35. C22×D4×D13C22semidirect
36. C22×D4×D13C22semidirect
37. C2×C13×AGL(1,ℤ/8)C22semidirect
38. C22×C13×SD16C22semidirect
39. C13×#548C22semidirect
40. D42×C13C22semidirect
41. #11719539C22semidirect
42. C2×#88203C22semidirect
43. Q8×C22⋊D13C22semidirect
44. C22×#6106C22semidirect
47. D4×C22⋊D13C22semidirect
48. C2×#88186C22semidirect
49. C22×#6104C22semidirect
53. C2×#88168C22semidirect
54. C2×#88168C22semidirect
55. C2×#88168C22semidirect
56. C2×#88168C22semidirect
57. C2×#88168C22semidirect
58. C2×#88168C22semidirect
59. C2×#88168C22semidirect
60. C2×#88168C22semidirect
61. C2×#88168C22semidirect
62. C2×SD16×D13C22semidirect
63. C2×SD16×D13C22semidirect
64. C2×#88165C22semidirect
65. C2×#88165C22semidirect
66. C2×#88165C22semidirect
67. C2×D8×D13C22semidirect
68. C2×D8×D13C22semidirect
69. C2×#88162C22semidirect
70. C2×M16×D13C22semidirect
71. C22×D104C22semidirect
72. C22×#6094C22semidirect
73. #11719422C22semidirect
74. D13×#127C22semidirect
76. #11719381C22semidirect
78. #11719373C22semidirect
80. #11719336C22semidirect
82. #11719332C22semidirect
86. #11719314C22semidirect
87. #11719314C22semidirect
89. #11719311C22semidirect
91. D13×#121C22semidirect
92. D13×#121C22semidirect
97. #11719281C22semidirect
98. C4×#6131C22semidirect
100. #11719255C22semidirect
101. D4×D52C22semidirect
102. D4×D52C22semidirect
105. C4×D4×D13C22semidirect
106. C13×#496C22semidirect
107. C13×#468C22semidirect
108. C13×#466C22semidirect
109. C13×#463C22semidirect
110. C13×#460C22semidirect
111. C13×#450C22semidirect
112. C13×#449C22semidirect
113. C13×#448C22semidirect
114. C13×#447C22semidirect
115. C13×#440C22semidirect
116. C13×#435C22semidirect
117. #11718899C22semidirect
118. #11718888C22semidirect
119. #11718879C22semidirect
120. #11718878C22semidirect
121. #11718836C22semidirect
122. #11718836C22semidirect
123. #11718833C22semidirect
124. #11718833C22semidirect
125. #11718832C22semidirect
126. #11718831C22semidirect
127. #11718830C22semidirect
128. #11718830C22semidirect
129. #11718824C22semidirect
130. #11718824C22semidirect
131. #11718823C22semidirect
132. SD16×Dic13C22semidirect
133. #11718820C22semidirect
134. #11718817C22semidirect
135. #11718817C22semidirect
136. #11718817C22semidirect
137. #11718812C22semidirect
138. #11718812C22semidirect
139. #11718811C22semidirect
140. #11718796C22semidirect
141. #11718789C22semidirect
142. #11718775C22semidirect
143. C8×C22⋊D13C22semidirect
144. #11718735C22semidirect
145. #11718733C22semidirect
146. #11718719C22semidirect
147. #11718718C22semidirect
148. #11718710C22semidirect
149. #11718707C22semidirect
150. #11718702C22semidirect
151. #11718700C22semidirect
152. #11718699C22semidirect
153. #11718698C22semidirect
154. #11718697C22semidirect
155. #11718697C22semidirect
156. #11718688C22semidirect
157. #11718687C22semidirect
158. #11718677C22semidirect
159. #11718675C22semidirect
160. #11718672C22semidirect
161. #11718547C22semidirect
162. #11718544C22semidirect
163. #11718542C22semidirect
164. #11718533C22semidirect
165. #11718505C22semidirect
166. #11718504C22semidirect
167. #11718498C22semidirect
168. #11718497C22semidirect
169. #11718479C22semidirect
170. #11718472C22semidirect
171. #11718472C22semidirect
172. #11718468C22semidirect
173. #11718467C22semidirect
174. #11718464C22semidirect
175. #11718464C22semidirect
176. #11718449C22semidirect
177. #11718447C22semidirect
178. #11718447C22semidirect
179. #11718447C22semidirect
180. #11718443C22semidirect
181. #11718441C22semidirect
182. #11718437C22semidirect
183. #11718437C22semidirect
184. #11718436C22semidirect
185. #11718434C22semidirect
186. #11718434C22semidirect
187. #11718434C22semidirect
188. #11718432C22semidirect
189. #11718431C22semidirect
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
207. C2×C13×#41C23semidirect
208. C22×Q8×C13C23semidirect
224. C2×#6131C23semidirect
225. C2×#6131C23semidirect
226. C2×Q8×D13C23semidirect
256. C2×D4×D13C23semidirect
258. C2×#6127C23semidirect
263. C22×D52C23semidirect
273. C2×C13×SD16C23semidirect
274. C2×C13×SD16C23semidirect
275. C2×C13×SD16C23semidirect
276. C2×C13×SD16C23semidirect
278. C2×C13×D8C23semidirect
279. C2×C13×D8C23semidirect
280. C2×C13×M16C23semidirect
281. C22×C8×C13C23semidirect
284. C13×#124C23semidirect
286. C13×C22⋊Q8C23semidirect
291. C13×#121C23semidirect
294. C4×Q8×C13C23semidirect
302. #88200C23semidirect
303. Q8×Dic13C23semidirect
305. #88198C23semidirect
309. C2×#6106C23semidirect
310. C2×#6106C23semidirect
311. C2×#6106C23semidirect
312. C2×#6106C23semidirect
318. #88194C23semidirect
327. #88192C23semidirect
341. C2×#6105C23semidirect
342. C2×#6105C23semidirect
348. C2×#6104C23semidirect
349. C2×#6104C23semidirect
350. C2×#6104C23semidirect
351. C2×#6104C23semidirect
352. C2×#6104C23semidirect
353. C2×#6104C23semidirect
358. #88184C23semidirect
365. #88178C23semidirect
366. C2×#6099C23semidirect
367. C22×#1055C23semidirect
377. #88168D4semidirect
390. C2×D104C23semidirect
391. C2×D104C23semidirect
392. C2×D104C23semidirect
393. C2×D104C23semidirect
395. C2×#6095C23semidirect
396. C2×#6095C23semidirect
402. C2×#6094C23semidirect
403. C2×#6094C23semidirect
404. C2×C8×D13C23semidirect
405. C2×C8×D13C23semidirect
407. #88151C23semidirect
412. #88149C23semidirect
420. #88147C23semidirect
463. #88129C23semidirect
469. C4×D52C23semidirect
472. C13×#107C23semidirect
473. C13×C4⋊C8C23semidirect
474. C13×#103C23semidirect
475. C13×#103C23semidirect
477. C13×#102C23semidirect
478. C13×#102C23semidirect
479. C13×#102C23semidirect
480. C13×C22⋊C8C23semidirect
481. C13×C22⋊C8C23semidirect
482. C13×#97C23semidirect
483. #88075C23semidirect
484. #88075C23semidirect
486. #88072C23semidirect
487. #88072C23semidirect
488. #88072C23semidirect
489. C22⋊#1055C23semidirect
490. C22⋊#1055C23semidirect
492. #88061C23semidirect
493. #88061C23semidirect
494. #88061C23semidirect
495. #88061C23semidirect
496. #88060C23semidirect
497. #88060C23semidirect
498. #88060C23semidirect
499. #88060C23semidirect
500. #88057C23semidirect
501. #88056C23semidirect
502. #88054C23semidirect
503. #88054C23semidirect
504. C8×Dic13C23semidirect
505. C8×Dic13C23semidirect
506. #88050C23semidirect
508. #88049C23semidirect
509. #88049C23semidirect
510. #88049C23semidirect
511. #88049C23semidirect
512. #88048C23semidirect
513. #88047C23semidirect
514. C4⋊#1055C23semidirect
515. #88043C23semidirect
609. #6131C2×D4semidirect
645. D4×D13C2×D4semidirect
709. C13×SD16C2×D4semidirect
747. #6106C2×D4semidirect
759. #6104C2×D4semidirect
807. D104C2×D4semidirect
816. #6094C2×D4semidirect
834. #3265D13semidirect
915. Q8×C13C22×D4semidirect
972. C22⋊D13AGL(1,ℤ/8)semidirect
1007. D52C22×D4semidirect
1037. C8×C13C22×D4semidirect
1041. #1055C22×D4semidirect
1065. C2×AGL(1,ℤ/8)C2×D13semidirect
1069. C22×SD16C2×D13semidirect
1079. #548C2×D13semidirect
1099. D42C2×D13semidirect
1119. #496C2×D13semidirect
1131. #468C2×D13semidirect
1135. #466C2×D13semidirect
1143. #463C2×D13semidirect
1149. #460C2×D13semidirect
1163. #450C2×D13semidirect
1171. #449C2×D13semidirect
1175. #448C2×D13semidirect
1187. #447C2×D13semidirect
1191. #440C2×D13semidirect
1201. #435C2×D13semidirect
1234. C22×C13C2×AGL(1,ℤ/8)semidirect
1272. C2×D13C2×AGL(1,ℤ/8)semidirect
1290. Dic13C2×AGL(1,ℤ/8)semidirect
1307. C2×#41C22×D13semidirect
1309. C22×Q8C22×D13semidirect
1390. C2×SD16C22×D13semidirect
1391. C2×SD16C22×D13semidirect
1392. C2×SD16C22×D13semidirect
1393. C2×SD16C22×D13semidirect
1414. C2×D8C22×D13semidirect
1415. C2×D8C22×D13semidirect
1425. C2×M16C22×D13semidirect
1429. C22×C8C22×D13semidirect
1443. #124C22×D13semidirect
1457. C22⋊Q8C22×D13semidirect
1491. #121C22×D13semidirect
1515. C4×Q8C22×D13semidirect
1559. #107C22×D13semidirect
1565. C4⋊C8C22×D13semidirect
1570. #103C22×D13semidirect
1571. #103C22×D13semidirect
1587. #102C22×D13semidirect
1588. #102C22×D13semidirect
1589. #102C22×D13semidirect
1596. C22⋊C8C22×D13semidirect
1597. C22⋊C8C22×D13semidirect
1599. #97C22×D13semidirect
1823. SD16D4×D13semidirect
1921. C13D4×AGL(1,ℤ/8)semidirect
1990. Q8C2×D4×D13semidirect
2113. C8C2×D4×D13semidirect
2170. C22D13×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C22×#881682
C2×D13×AGL(1,ℤ/8)2
#131283252
D42×D132
SD16×C22⋊D132
#131265252
#131265102
#131265062
#131264502
#131264492
#131264342
#131264332
#131263332
#131263322
#131263262
#131263222
#131263212
#131263152
#131263122
#131252852
#131244522
#131244502
#131243132
#131242982
#131240872
#131240852
#131240642
#131240602
#131236412
#131235692
C13×#32652
D4×AGL(1,ℤ/8)13