Finite Group Databasebeta

← #16744828

Subgroups — #16744828

Order 3328.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128442C211yesmaximal, characteristic, complemented
2D4×#6127C211yesmaximal, characteristic, complemented
3#13127873C211yesmaximal, characteristic, complemented
4#13127738C211yesmaximal, characteristic, complemented
5#13127623C211yesmaximal, characteristic, complemented
6#13127546C211yesmaximal, characteristic, complemented
7#13127310C211yesmaximal, characteristic, complemented
8#13127303C211yesmaximal, characteristic, complemented
9#13127186C211yesmaximal, characteristic, complemented
10#13126981C211yesmaximal, characteristic, complemented
11#13126974C211yesmaximal, characteristic, complemented
12#13126804C211yesmaximal, characteristic, complemented
13#13126795C211yesmaximal, characteristic, complemented
14#13126653C211yesmaximal, characteristic, complemented
15#13126647C211yesmaximal, characteristic, complemented
16#13126506C211yesmaximal, characteristic, complemented
17#13126322C211yesmaximal, characteristic, complemented
18#13126320C211yesmaximal, characteristic, complemented
19#13125571C211yesmaximal, characteristic, complemented
20#13125535C211yesmaximal, characteristic, complemented
21#13125530C211yesmaximal, characteristic, complemented
22#13124985C211yesmaximal, characteristic, complemented
23#13124978C211yesmaximal, characteristic, complemented
24#13124928C211yesmaximal, characteristic, complemented
25#13124925C211yesmaximal, characteristic, complemented
26#13124925C211yesmaximal, characteristic, complemented
27#13123845C211yesmaximal, characteristic, complemented
28#13123641C211yesmaximal, characteristic, complemented
29C2×#11718675C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C13×#3114C211yesmaximal, characteristic, complemented
32C22×#6127—21no—
33C13×#529C2211yescharacteristic, complemented
34C2×C4×D4×C13C2211yescharacteristic, complemented
35D4×C22⋊D13C2211yescharacteristic
36D4×C22⋊D13C2211yescharacteristic, complemented
37C22×#6104C2211yescharacteristic
38#11719496—21no—
39C2×#88168C2211yescharacteristic
40C2×D8×D13C2211yescharacteristic
41#11719414—21no—
42#11719410—21no—
43#11719400C2211yescharacteristic, complemented
44#11719395C2211yescharacteristic, complemented
45#11719386C2211yescharacteristic, complemented
46#11719381C2211yescharacteristic, complemented
47#11719363—21no—
48#11719359—21no—
49#11719340C2211yescharacteristic, complemented
50#11719335C2211yescharacteristic, complemented
51#11719323C2211yescharacteristic, complemented
52#11719314C2211yescharacteristic, complemented
53#11719285C2211yescharacteristic, complemented
54C4×#6131C2211yescharacteristic, complemented
55#11719258C2211yescharacteristic, complemented
56#11719257—21no—
57#11719256C2211yescharacteristic, complemented
58#11719255—21no—
59D4×D52C2211yescharacteristic, complemented
60#11719253C2211yescharacteristic, complemented
61#11719253C2211yescharacteristic, complemented
62#11719253C2211yescharacteristic, complemented
63#11719252—21no—
64#11719252—21no—
65#11719252—21no—
66C4×D4×D13—21no—
67C4×D4×D13C2211yescharacteristic, complemented
68C4×D4×D13C2211yescharacteristic, complemented
69C4×D4×D13C2211yescharacteristic, complemented
70D4×Dic26C2211yescharacteristic, complemented
71#11719233—21no—
72#11719229—21no—
73#11719212C2211yescharacteristic
74#11719212C2211yescharacteristic, complemented
75#11719195—21no—
76#11719195—21no—
77#11719182C2211yescharacteristic, complemented
78C4×#6127C2211yescharacteristic
79C2×C4×D52C2211yescharacteristic, complemented
80C13×#483C2211yescharacteristic, complemented
81C13×#480C2211yescharacteristic, complemented
82C13×#478C2211yescharacteristic, complemented
83C13×#478C2211yescharacteristic, complemented
84C13×#463C2211yescharacteristic, complemented
85C13×#463C2211yescharacteristic, complemented
86C13×#450C2211yescharacteristic, complemented
87C13×#447C2211yescharacteristic
88C13×#442C2211yescharacteristic, complemented
89C13×#442C2211yescharacteristic, complemented
90C13×#440C2211yescharacteristic, complemented
91C13×#440C2211yescharacteristic, complemented
92C13×#432C2211yescharacteristic, complemented
93C2×#88072C2211yescharacteristic, complemented
94#11718837C2211yescharacteristic, complemented
95#11718833C2211yescharacteristic, complemented
96#11718832C2211yescharacteristic, complemented
97#11718830C2211yescharacteristic, complemented
98#11718826C2211yescharacteristic, complemented
99#11718824C2211yescharacteristic, complemented
100SD16×Dic13C2211yescharacteristic, complemented
101#11718820C2211yescharacteristic, complemented
102#11718817C2211yescharacteristic, complemented
103#11718817C2211yescharacteristic, complemented
104#11718813C2211yescharacteristic, complemented
105#11718812C2211yescharacteristic, complemented
106#11718811C2211yescharacteristic
107#11718811C2211yescharacteristic, complemented
108#11718728C2211yescharacteristic, complemented
109#11718726C2211yescharacteristic, complemented
110#11718719C2211yescharacteristic, complemented
111#11718716C2211yescharacteristic, complemented
112#11718709C2211yescharacteristic, complemented
113#11718709C2211yescharacteristic, complemented
114#11718699C2211yescharacteristic, complemented
115#11718699C2211yescharacteristic, complemented
116#11718687C2211yescharacteristic, complemented
117#11718687C2211yescharacteristic, complemented
118#11718675C2211yescharacteristic
119#11718675C2211yescharacteristic
120#11718675C2211yescharacteristic, complemented
121#11718675C2211yescharacteristic, complemented
122#11718675C2211yescharacteristic, complemented
123#11718675C2211yescharacteristic, complemented
124#11718675C2211yescharacteristic, complemented
125#11718675C2211yescharacteristic, complemented
126#11718675C2211yescharacteristic, complemented
127#11718675C2211yescharacteristic, complemented
128C2×#88049C2211yescharacteristic, complemented
129C2×#88048C2211yescharacteristic, complemented
130C2×#88043C2211yescharacteristic, complemented
131#11718552C2211yescharacteristic, complemented
132#11718551C2211yescharacteristic, complemented
133#11718546C2211yescharacteristic, complemented
134#11718544C2211yescharacteristic, complemented
135#11718543C2211yescharacteristic, complemented
136#11718542C2211yescharacteristic, complemented
137#11718537C2211yescharacteristic, complemented
138#11718533C2211yescharacteristic, complemented
139#11718531C2211yescharacteristic, complemented
140#11718531C2211yescharacteristic, complemented
141#11718530C2211yescharacteristic, complemented
142#11718526C2211yescharacteristic, complemented
143#11718524C2211yescharacteristic, complemented
144#11718524C2211yescharacteristic, complemented
145D13×#106C2211yescharacteristic, complemented
146#11718516C2211yescharacteristic, complemented
147#11718504C2211yescharacteristic, complemented
148#11718504C2211yescharacteristic, complemented
149#11718503C2211yescharacteristic, complemented
150#11718503C2211yescharacteristic, complemented
151#11718497C2211yescharacteristic, complemented
152#11718497C2211yescharacteristic, complemented
153#11718489C2211yescharacteristic, complemented
154#11718489C2211yescharacteristic, complemented
155#11718480C2211yescharacteristic, complemented
156#11718472C2211yescharacteristic, complemented
157#11718468C2211yescharacteristic, complemented
158#11718466C2211yescharacteristic, complemented
159#11718464C2211yescharacteristic, complemented
160#11718456C2211yescharacteristic, complemented
161#11718452C2211yescharacteristic, complemented
162#11718449C2211yescharacteristic, complemented
163#11718447C2211yescharacteristic, complemented
164#11718447C2211yescharacteristic, complemented
165#11718447C2211yescharacteristic, complemented
166#11718446C2211yescharacteristic
167#11718446C2211yescharacteristic, complemented
168#11718443C2211yescharacteristic, complemented
169#11718443C2211yescharacteristic, complemented
170#11718440C2211yescharacteristic, complemented
171#11718438C2211yescharacteristic, complemented
172#11718438C2211yescharacteristic, complemented
173#11718436C2211yescharacteristic, complemented
174#11718434C2211yescharacteristic
175#11718434C2211yescharacteristic, complemented
176#11718434C2211yescharacteristic, complemented
177#11718431C2211yescharacteristic, complemented
178D13×#102C2211yescharacteristic, complemented
179D13×#102C2211yescharacteristic, complemented
180#11718425C2211yescharacteristic, complemented
181#11718424C2211yescharacteristic, complemented
182#11718422C2211yescharacteristic, complemented
183#11718422C2211yescharacteristic, complemented
184#11718421C2211yescharacteristic, complemented
185#11718421C2211yescharacteristic, complemented
186#11718417C2211yescharacteristic
187#11718396C2211yescharacteristic, complemented
188#11718396C2211yescharacteristic, complemented
189#11718393C2211yescharacteristic, complemented
190#11718393C2211yescharacteristic, complemented
191#11718391C2211yescharacteristic, complemented
192#11718391C2211yescharacteristic, complemented
193#11718386C2211yescharacteristic, complemented
194#11718386C2211yescharacteristic, complemented
195#11718372C2211yescharacteristic, complemented
196#11718372C2211yescharacteristic, complemented
197#11718372C2211yescharacteristic, complemented
198#11718372C2211yescharacteristic, complemented
199#11718368C2211yescharacteristic, complemented
200#11718366C2211yescharacteristic, complemented
201#11718366C2211yescharacteristic, complemented
202D13×#97C2211yescharacteristic, complemented
203C22×D4×C13C2311yescharacteristic
204C23×C4×C13—21no—
205C22×C22⋊D13—21no—
206C22×C22⋊D13—21no—
207C2×#6131C2311yescharacteristic
208C2×D4×D13—21no—
209C2×D4×D13C2311yescharacteristic
210C2×D4×D13C2311yescharacteristic
211C2×D4×D13C2311yescharacteristic
212C2×#6127—21no—
213C2×#6127—21no—
214C2×#6127—21no—
215C2×#6127—21no—
216C2×#6127—21no—
217C2×#6127—21no—
218C2×#6127—21no—
219C2×#6127—21no—
220C2×#6127—48no—
221C2×#6127D411yescharacteristic
222C22×D52—21no—
223C22×D52C2311yescharacteristic
224C22×C4×D13—21no—
225C22×C4×D13—21no—
226C22×C4×D13—21no—
227C22×C4×D13—21no—
228C22×Dic26—21no—
229C2×C13×SD16C2311yescharacteristic
230C2×C13×SD16C2311yescharacteristic
231C2×C13×D8C2311yescharacteristic
232C2×C13×D8C2311yescharacteristic
233C13×#126—21no—
234C13×#125C2311yescharacteristic
235C13×#124C2311yescharacteristic
236C13×#123—21no—
237C13×C22⋊Q8C2311yescharacteristic
238C13×#121C2311yescharacteristic
239C4×Q8×C13C2311yescharacteristic
240C4×D4×C13—21no—
241C4×D4×C13—21no—
242C4×D4×C13—21no—
243C4×D4×C13C2311yescharacteristic
244C4×D4×C13C2311yescharacteristic
245C4×D4×C13C2311yescharacteristic
246C4×D4×C13C2311yescharacteristic
247C4×D4×C13C2311yescharacteristic
248C13×#117—21no—
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4—21no—
251C2×C42×C13C2311yescharacteristic
252#88207—21no—
253#88207—21no—
254#88201C2311yescharacteristic
255#88200C2311yescharacteristic
256Q8×Dic13C2311yescharacteristic
257C2×#6106C2311yescharacteristic
258C2×#6106C2311yescharacteristic
259#88194C2311yescharacteristic
260#88194C2311yescharacteristic
261#88194C2311yescharacteristic
262#88193—21no—
263#88193—21no—
264#88193—21no—
265#88192C2311yescharacteristic
266#88192C2311yescharacteristic
267#88192C2311yescharacteristic
268#88191—21no—
269#88191—21no—
270#88191—21no—
271D4×Dic13—21no—
272D4×Dic13C2311yescharacteristic
273D4×Dic13C2311yescharacteristic
274D4×Dic13C2311yescharacteristic
275C2×#6104—24no—
276C2×#6104C2311yescharacteristic
277C2×#6104C2311yescharacteristic
278C2×#6104C2311yescharacteristic
279C2×#6104C2311yescharacteristic
280C2×#6104C2311yescharacteristic
281C2×#6104C2311yescharacteristic
282#88184—21no—
283#88184—21no—
284#88184—21no—
285#88184C2311yescharacteristic
286#88184C2311yescharacteristic
287#88183—21no—
288#88183—21no—
289C4×C22⋊D13—21no—
290C4×C22⋊D13—21no—
291C4×C22⋊D13—21no—
292C4×C22⋊D13—21no—
293C4×C22⋊D13—21no—
294C4×C22⋊D13—21no—
295C4×C22⋊D13D411yescharacteristic
296C4×C22⋊D13D411yescharacteristic
297C4×C22⋊D13C2311yescharacteristic
298C4×C22⋊D13C2311yescharacteristic
299C2×#6103—21no—
300#88180D411yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302#88178—21no—
303#88178—21no—
304C22×#1055C2311yescharacteristic
305C22×#1055C2311yescharacteristic
306#88168—24no—
307D8×D13—24no—
308C2×D104C2311yescharacteristic
309C2×D104C2311yescharacteristic
310C2×D104C2311yescharacteristic
311C2×D104C2311yescharacteristic
312C2×#6094C2311yescharacteristic
313C2×#6094C2311yescharacteristic
314C2×C8×D13C2311yescharacteristic
315C2×C8×D13C2311yescharacteristic
316#88152—21no—
317#88152—21no—
318#88151—21no—
319#88151—21no—
320#88150—21no—
321#88150—21no—
322#88150—21no—
323#88150—21no—
324#88149—21no—
325#88149—21no—
326#88149C2311yescharacteristic
327#88149C2311yescharacteristic
328#88149C2311yescharacteristic
329#88149C2311yescharacteristic
330#88148—21no—
331#88148—21no—
332#88148—21no—
333#88148—21no—
334#88148—21no—
335#88147—21no—
336#88147—21no—
337#88147C2311yescharacteristic
338#88147C2311yescharacteristic
339#88147C2311yescharacteristic
340#88147C2311yescharacteristic
341#88146—21no—
342#88146C2311yescharacteristic
343C4⋊C4×D13—21no—
344C4⋊C4×D13C2311yescharacteristic
345C4⋊C4×D13C2311yescharacteristic
346C4⋊C4×D13C2311yescharacteristic
347#88144C2311yescharacteristic
348#88143—21no—
349#88142C2311yescharacteristic
350#88142C2311yescharacteristic
351#88142C2311yescharacteristic
352#88140—21no—
353#88140—21no—
354#88139—21no—
355#88139—21no—
356#88139—21no—
357#88139—21no—
358#88138—21no—
359#88138—21no—
360#88138—21no—
361#88138—21no—
362#88138—21no—
363#88138—21no—
364#88138—21no—
365#88137—21no—
366#88137—21no—
367#88137—21no—
368#88137—21no—
369#88136—21no—
370#88136—21no—
371#88136—21no—
372#88136—21no—
373#88136—21no—
374#88135—21no—
375#88135—21no—
376#88135—21no—
377#88135—21no—
378#88135—21no—
379C22⋊C4×D13—21no—
380C22⋊C4×D13—21no—
381C22⋊C4×D13—21no—
382C22⋊C4×D13—21no—
383C22⋊C4×D13—21no—
384#88133—21no—
385#88132—21no—
386#88132—21no—
387#88132—21no—
388#88129—21no—
389#88128C2311yescharacteristic
390C4×D52—21no—
391C4×D52—21no—
392C4×D52—21no—
393C4×D52—21no—
394C4×D52—21no—
395C4×D52D411yescharacteristic
396C4×D52C2311yescharacteristic
397C4×D52C2311yescharacteristic
398C4×D52C2311yescharacteristic
399C4×D52C2311yescharacteristic
400C4×D52C2311yescharacteristic
401C4×D52C2311yescharacteristic
402C4×D52C2311yescharacteristic
403#88126—21no—
404#88126D411yescharacteristic
405#88126D411yescharacteristic
406C42×D13—21no—
407C42×D13C2311yescharacteristic
408C42×D13C2311yescharacteristic
409#88123C2311yescharacteristic
410C4×Dic26D411yescharacteristic
411C4×Dic26C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#107C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×#106C2311yescharacteristic
416C13×C4⋊C8C2311yescharacteristic
417C13×C4⋊C8C2311yescharacteristic
418C13×#103C2311yescharacteristic
419C13×#103C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×C22⋊C8C2311yescharacteristic
427C13×C22⋊C8C2311yescharacteristic
428C13×#97C2311yescharacteristic
429C13×#97C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435#88072C2311yescharacteristic
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88061C2311yescharacteristic
445#88061C2311yescharacteristic
446#88060C2311yescharacteristic
447#88060C2311yescharacteristic
448#88060C2311yescharacteristic
449#88060C2311yescharacteristic
450#88057C2311yescharacteristic
451#88057C2311yescharacteristic
452#88057C2311yescharacteristic
453#88057C2311yescharacteristic
454#88055C2311yescharacteristic
455#88055C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459#88054C2311yescharacteristic
460C8×Dic13C2311yescharacteristic
461C8×Dic13C2311yescharacteristic
462#88049C2311yescharacteristic
463#88049C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88048C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88043C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#88043C2311yescharacteristic
482#61451—131nomaximal, Sylow
483C24×C13—21no—
484C23×D13—21no—
485C23×D13—21no—
486C23×D13—21no—
487C23×D13—21no—
488C2×Q8×C13C2411yescharacteristic
489C2×D4×C13—22no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—41no—
493C2×D4×C13C2411yescharacteristic
494C2×D4×C13C2411yescharacteristic
495C2×D4×C13C2411yescharacteristic
496C22×C4×C13—21no—
497C22×C4×C13—21no—
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13—44no—
503C22×C4×C13C2×D411yescharacteristic
504C22×C4×C13C2×D411yescharacteristic
505C22×C4×C13C2411yescharacteristic
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C2×C22⋊D13—21no—
510C2×C22⋊D13—21no—
511C2×C22⋊D13—21no—
512C2×C22⋊D13—21no—
513C2×C22⋊D13—21no—
514C2×C22⋊D13—21no—
515C2×C22⋊D13—21no—
516C2×C22⋊D13—21no—
517C2×C22⋊D13—21no—
518C2×C22⋊D13—21no—
519C2×C22⋊D13—21no—
520C2×C22⋊D13—44no—
521C2×C22⋊D13—44no—
522C2×C22⋊D13C2×D411yescharacteristic
523C2×C22⋊D13C2×D411yescharacteristic
524C22×Dic13—21no—
525C22×Dic13—21no—
526C22×Dic13—21no—
527C22×Dic13—21no—
528#6131—22no—
529#6131—41no—
530D4×D13—22no—
531D4×D13—22no—
532D4×D13—22no—
533D4×D13—41no—
534D4×D13—41no—
535D4×D13—41no—
536D4×D13—44no—
537#6127—24no—
538#6127—44no—
539#6127—44no—
540#6127—44no—
541#6127—44no—
542#6127—44no—
543#6127—44no—
544#6127—44no—
545#6127—82no—
546C2×D52—22no—
547C2×D52—21no—
548C2×D52—21no—
549C2×D52—21no—
550C2×D52—21no—
551C2×D52—21no—
552C2×D52—21no—
553C2×D52—21no—
554C2×D52—21no—
555C2×D52—41no—
556C2×D52—44no—
557C2×D52C2×D411yescharacteristic
558C2×D52C2411yescharacteristic
559C2×D52C2411yescharacteristic
560C2×D52C2411yescharacteristic
561C2×D52C2411yescharacteristic
562C2×C4×D13—21no—
563C2×C4×D13—21no—
564C2×C4×D13—21no—
565C2×C4×D13—21no—
566C2×C4×D13—21no—
567C2×C4×D13—21no—
568C2×C4×D13—21no—
569C2×C4×D13—21no—
570C2×C4×D13—21no—
571C2×C4×D13—21no—
572C2×C4×D13—21no—
573C2×C4×D13—21no—
574C2×C4×D13—21no—
575C2×C4×D13—21no—
576C2×C4×D13—44no—
577C2×C4×D13—44no—
578C2×C4×D13—82no—
579C2×C4×D13—82no—
580C2×C4×D13C2×D411yescharacteristic
581C2×C4×D13C2×D411yescharacteristic
582C2×C4×D13C2×D411yescharacteristic
583C2×C4×D13C2×D411yescharacteristic
584C2×C4×D13C2411yescharacteristic
585C2×C4×D13C2411yescharacteristic
586C2×Dic26—21no—
587C2×Dic26—21no—
588C2×Dic26—21no—
589C2×Dic26—21no—
590C2×Dic26—44no—
591C2×Dic26C2×D411yescharacteristic
592C13×SD16—22no—
593C13×SD16—41no—
594C13×D8—22no—
595C13×D8—41no—
596C2×C8×C13C2411yescharacteristic
597C2×C8×C13C2411yescharacteristic
598C2×C8×C13C2411yescharacteristic
599C2×C8×C13C2411yescharacteristic
600C13×C4⋊C4—21no—
601C13×C4⋊C4—21no—
602C13×C4⋊C4—21no—
603C13×C4⋊C4—21no—
604C13×C4⋊C4—21no—
605C13×C4⋊C4C2411yescharacteristic
606C13×C4⋊C4C2411yescharacteristic
607C13×C4⋊C4C2411yescharacteristic
608C13×C4⋊C4C2411yescharacteristic
609C13×C22⋊C4—21no—
610C13×C22⋊C4—21no—
611C13×C22⋊C4—21no—
612C13×C22⋊C4—21no—
613C13×C22⋊C4—21no—
614C13×C22⋊C4—21no—
615C13×C22⋊C4—21no—
616C13×C22⋊C4—21no—
617C13×C22⋊C4—21no—
618C42×C13—21no—
619C42×C13C2×D411yescharacteristic
620C42×C13C2×D411yescharacteristic
621C42×C13C2411yescharacteristic
622C42×C13C2411yescharacteristic
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626C22⋊Dic13—21no—
627C22⋊Dic13—21no—
628C22⋊Dic13—21no—
629C22⋊Dic13C2×D411yescharacteristic
630C22⋊Dic13C2×D411yescharacteristic
631#6106—22no—
632#6106—41no—
633#6104—22no—
634#6104—22no—
635#6104—22no—
636#6104—22no—
637#6104—41no—
638#6104#4114yescomplemented
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650#6103—21no—
651#6103—21no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103—21no—
656#6103—21no—
657#6103—21no—
658#6103—21no—
659#6103C2×D411yescharacteristic
660#6103C2×D411yescharacteristic
661#6103C2×D411yescharacteristic
662#6103C2×D411yescharacteristic
663C4⋊Dic13—21no—
664C4⋊Dic13—21no—
665C4⋊Dic13—21no—
666C4⋊Dic13—21no—
667C4⋊Dic13C2×D411yescharacteristic
668C4⋊Dic13C2×D411yescharacteristic
669C4⋊Dic13C2411yescharacteristic
670C4⋊Dic13C2411yescharacteristic
671C4⋊Dic13C2411yescharacteristic
672C4⋊Dic13C2411yescharacteristic
673#6101—21no—
674#6101—21no—
675#6101—21no—
676#6101—21no—
677#6101—21no—
678#6101—21no—
679#6101—21no—
680#6101—21no—
681#6101C2×D411yescharacteristic
682#6101C2×D411yescharacteristic
683#6101C2×D411yescharacteristic
684#6101C2×D411yescharacteristic
685C4×Dic13—21no—
686C4×Dic13—21no—
687C4×Dic13C2×D411yescharacteristic
688C4×Dic13C2×D411yescharacteristic
689C4×Dic13C2×D411yescharacteristic
690C4×Dic13C2×D411yescharacteristic
691C4×Dic13C2411yescharacteristic
692C4×Dic13C2411yescharacteristic
693C2×#1055—22no—
694C2×#1055—41no—
695C2×#1055C2411yescharacteristic
696C2×#1055C2411yescharacteristic
697C2×#1055C2411yescharacteristic
698C2×#1055C2411yescharacteristic
699D104—22no—
700D104—22no—
701D104—41no—
702D104—41no—
703#6094—22no—
704#6094—41no—
705C8×D13—22no—
706C8×D13—41no—
707#3481—131no—
708D4×#41—131no—
709#3399—131no—
710#3384—131no—
711#3373—131no—
712#3366—131no—
713#3345—131no—
714#3345—131no—
715#3335—131no—
716#3318—131no—
717#3318—131no—
718#3306—131no—
719#3306—131no—
720#3295—131no—
721#3294—131no—
722D4×D8—131no—
723#3264—131no—
724#3264—131no—
725#3184—131no—
726#3180—131no—
727#3180—131no—
728#3115—131no—
729#3114—131no—
730#3114D1311yescharacteristic, complemented
731#3109—131no—
732#3109—131no—
733#3109—131no—
734#2970—131no—
735C4×AGL(1,ℤ/8)—131no—
736C2×#442—131no—
737C2×#442—131no—
738C23×C13—21no—
739C23×C13—21no—
740C23×C13—21no—
741C23×C13—42no—
742C23×C13—42no—
743C23×C13—81no—
744C23×C13C22×D411yescharacteristic
745C22×D13—21no—
746C22×D13—21no—
747C22×D13—21no—
748C22×D13—21no—
749C22×D13—42no—
750C22×D13—42no—
751C22×D13—42no—
752C22×D13—42no—
753C22×D13—42no—
754C22×D13—42no—
755C22×D13—42no—
756C22×D13—42no—
757C22×D13—81no—
758C22×D13—81no—
759C22×D13—81no—
760C22×D13—81no—
761C22×D13C22×D411yescharacteristic
762C22×D13C22×D411yescharacteristic
763Q8×C13—21no—
764Q8×C13—21no—
765D4×C13—21no—
766D4×C13—21no—
767D4×C13—21no—
768D4×C13—21no—
769D4×C13—21no—
770D4×C13—42no—
771D4×C13—42no—
772D4×C13C2×#4112yes—
773C2×C4×C13—22no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—21no—
777C2×C4×C13—21no—
778C2×C4×C13—21no—
779C2×C4×C13—21no—
780C2×C4×C13—21no—
781C2×C4×C13—41no—
782C2×C4×C13—42no—
783C2×C4×C13—42no—
784C2×C4×C13—42no—
785C2×C4×C13—42no—
786C2×C4×C13—42no—
787C2×C4×C13—42no—
788C2×C4×C13C22×D411yescharacteristic
789C2×C4×C13C22×D411yescharacteristic
790C2×C4×C13C22×D411yescharacteristic
791C2×C4×C13C22×D411yescharacteristic
792C2×C4×C13C22×D411yescharacteristic
793C2×C4×C13C2511yescharacteristic
794C22⋊D13—22no—
795C22⋊D13—42no—
796C22⋊D13—42no—
797C22⋊D13—42no—
798C22⋊D13—42no—
799C22⋊D13—42no—
800C22⋊D13—42no—
801C22⋊D13—42no—
802C22⋊D13—42no—
803C22⋊D13—42no—
804C22⋊D13—42no—
805C22⋊D13—81no—
806C22⋊D13—81no—
807C22⋊D13—81no—
808C22⋊D13—81no—
809C22⋊D13AGL(1,ℤ/8)14yescomplemented
810C2×Dic13—21no—
811C2×Dic13—21no—
812C2×Dic13—21no—
813C2×Dic13—21no—
814C2×Dic13—42no—
815C2×Dic13—42no—
816C2×Dic13—81no—
817C2×Dic13—81no—
818C2×Dic13C22×D411yescharacteristic
819C2×Dic13C22×D411yescharacteristic
820C2×Dic13C22×D411yescharacteristic
821C2×Dic13C22×D411yescharacteristic
822C2×Dic13C22×D411yescharacteristic
823C2×Dic13C22×D411yescharacteristic
824D52—22no—
825D52—21no—
826D52—21no—
827D52—21no—
828D52—21no—
829D52—21no—
830D52—21no—
831D52—21no—
832D52—42no—
833D52—42no—
834D52—42no—
835D52—42no—
836D52—42no—
837D52—42no—
838D52—81no—
839D52—81no—
840D52C2×#4112yescomplemented
841C4×D13—22no—
842C4×D13—21no—
843C4×D13—21no—
844C4×D13—21no—
845C4×D13—21no—
846C4×D13—22no—
847C4×D13—41no—
848C4×D13—41no—
849C4×D13—42no—
850C4×D13—42no—
851C4×D13—42no—
852C4×D13—42no—
853C4×D13—42no—
854C4×D13—42no—
855C4×D13—42no—
856C4×D13—42no—
857C4×D13—42no—
858C4×D13—42no—
859C4×D13—81no—
860C4×D13—81no—
861C4×D13—81no—
862C4×D13—81no—
863Dic26—22no—
864Dic26—42no—
865Dic26—42no—
866Dic26—42no—
867Dic26—81no—
868C8×C13—21no—
869C8×C13—21no—
870C8×C13—21no—
871C8×C13—21no—
872#1055—21no—
873#1055—21no—
874#1055—21no—
875#1055C2×#4112yescomplemented
876C22×#41—261no—
877C2×AGL(1,ℤ/8)—131no—
878C22×D8—131no—
879C22×D8—131no—
880#559—131no—
881#554—131no—
882#554—131no—
883#553—131no—
884#553—131no—
885#553—261no—
886#551—261no—
887#551—261no—
888#550—131no—
889D4×Q8—131no—
890#548—261no—
891#547—131no—
892#547—131no—
893#547—131no—
894#546—131no—
895#546—131no—
896#546—261no—
897#546—261no—
898#546—261no—
899#546—261no—
900D42—131no—
901D42—131no—
902D42—131no—
903D42—131no—
904#532—131no—
905#532—131no—
906#532—131no—
907#532—131no—
908#529—131no—
909#529—261no—
910#529C2×D1311yescharacteristic, complemented
911#525—261no—
912#525—261no—
913#525—261no—
914#525—261no—
915#525—261no—
916C4×#41—131no—
917C4×#41—131no—
918C2×C4×D4—131no—
919C2×C4×D4—131no—
920C2×C4×D4—131no—
921C2×C4×D4—131no—
922C2×C4×D4—261no—
923C2×C4×D4C2×D1311yescharacteristic, complemented
924#501—131no—
925#501—131no—
926#498—131no—
927#496—131no—
928#496—131no—
929#493—131no—
930#490—131no—
931#490—131no—
932#489—131no—
933#489—131no—
934#486—131no—
935#486—131no—
936#483—131no—
937#483C2×D1311yescharacteristic, complemented
938#482—131no—
939#482—131no—
940#481—131no—
941#481—131no—
942#481—131no—
943#481—131no—
944#481—131no—
945#481—131no—
946#480—131no—
947#480C2×D1311yescharacteristic, complemented
948#478—131no—
949#478—131no—
950#478C2×D1311yescharacteristic, complemented
951#478C2×D1311yescharacteristic, complemented
952#476—131no—
953#476—131no—
954#476—131no—
955#476—131no—
956#476—131no—
957#476—131no—
958#475—131no—
959#474—131no—
960#469—131no—
961#469—131no—
962#469—131no—
963#469—131no—
964#466—131no—
965#466—131no—
966#466—131no—
967#466—131no—
968#465—131no—
969#465—131no—
970#465—131no—
971#465—131no—
972#463—131no—
973#463—131no—
974#463C2×D1311yescharacteristic, complemented
975#463C2×D1311yescharacteristic, complemented
976#460—131no—
977#459—131no—
978#459—131no—
979#459—131no—
980#459—131no—
981#459—131no—
982#459—131no—
983#459—131no—
984#450—131no—
985#450C2×D1311yescharacteristic, complemented
986#449—131no—
987#449—131no—
988#447—131no—
989#447—131no—
990#447—131no—
991#447—131no—
992#447—131no—
993#447—131no—
994#447—131no—
995#447C2×D1311yescharacteristic
996#446—131no—
997#446—131no—
998#442—131no—
999#442—131no—
1000#442—131no—
1001#442—131no—
1002#442—131no—
1003#442—131no—
1004#442—131no—
1005#442—131no—
1006#442—131no—
1007#442—131no—
1008#442—131no—
1009#442—131no—
1010#442—131no—
1011#442—131no—
1012#442—131no—
1013#442—131no—
1014#442—131no—
1015#442—131no—
1016#442C2×D1311yescharacteristic, complemented
1017#442C2×D1311yescharacteristic, complemented
1018#440—131no—
1019#440—131no—
1020#440C2×D1311yescharacteristic, complemented
1021#440C2×D1311yescharacteristic, complemented
1022C4×SD16—131no—
1023C4×SD16—131no—
1024C4×D8—131no—
1025C4×D8—131no—
1026#435—131no—
1027#435—131no—
1028#435—131no—
1029#435—131no—
1030C8×D4—131no—
1031C8×D4—131no—
1032#432—131no—
1033#432—131no—
1034#432C2×D1311yescharacteristic, complemented
1035#428—131no—
1036C2×#106—131no—
1037C2×#106—131no—
1038#418—131no—
1039#417—131no—
1040C2×#102—131no—
1041C2×#102—131no—
1042C2×#102—131no—
1043C2×#102—131no—
1044C4×M16—131no—
1045C2×#97—131no—
1046C2×#97—131no—
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—22no—
1050C22×C13—41no—
1051C22×C13—41no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13—84no—
1059C22×C13C2×AGL(1,ℤ/8)12yes—
1060C22×C13C23×D411yescharacteristic
1061C2×D13—21no—
1062C2×D13—21no—
1063C2×D13—21no—
1064C2×D13—21no—
1065C2×D13—22no—
1066C2×D13—21no—
1067C2×D13—41no—
1068C2×D13—41no—
1069C2×D13—41no—
1070C2×D13—41no—
1071C2×D13—41no—
1072C2×D13—41no—
1073C2×D13—41no—
1074C2×D13—41no—
1075C2×D13—41no—
1076C2×D13—41no—
1077C2×D13—41no—
1078C2×D13—84no—
1079C2×D13—84no—
1080C2×D13—84no—
1081C2×D13—84no—
1082C2×D13C2×AGL(1,ℤ/8)12yes—
1083C4×C13—21no—
1084C4×C13—21no—
1085C4×C13—21no—
1086C4×C13—21no—
1087C4×C13—21no—
1088C4×C13—41no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13—41no—
1092C4×C13—41no—
1093C4×C13C22×#4111yescharacteristic
1094C4×C13#58511yescharacteristic
1095Dic13—21no—
1096Dic13—21no—
1097Dic13—21no—
1098Dic13—21no—
1099Dic13—21no—
1100Dic13—41no—
1101Dic13—41no—
1102Dic13—41no—
1103Dic13—41no—
1104Dic13C2×AGL(1,ℤ/8)12yes—
1105C2×#41—131no—
1106C2×#41—131no—
1107C2×#41—261no—
1108C2×#41—261no—
1109C2×#41—261no—
1110C2×#41—261no—
1111C2×#41—261no—
1112C2×#41—261no—
1113C2×#41—261no—
1114C2×#41—261no—
1115C2×#41—528no—
1116C22×Q8—261no—
1117C22×D4—131no—
1118C22×D4—131no—
1119C22×D4—131no—
1120C22×D4—131no—
1121C22×D4—261no—
1122C22×D4—261no—
1123C22×D4—261no—
1124C22×D4—261no—
1125C22×D4C22×D1311yescharacteristic
1126C23×C4—21no—
1127C23×C4—261no—
1128C23×C4—261no—
1129C23×C4—261no—
1130C23×C4—261no—
1131AGL(1,ℤ/8)—264no—
1132C2×SD16—131no—
1133C2×SD16—131no—
1134C2×SD16C22×D1311yescharacteristic
1135C2×SD16C22×D1311yescharacteristic
1136C2×D8—131no—
1137C2×D8—131no—
1138C2×D8—131no—
1139C2×D8—131no—
1140C2×D8—131no—
1141C2×D8—131no—
1142C2×D8—131no—
1143C2×D8—131no—
1144C2×D8—131no—
1145C2×D8—131no—
1146C2×D8—264no—
1147C2×D8—264no—
1148C2×D8C22×D1311yescharacteristic
1149C2×D8C22×D1311yescharacteristic
1150C2×M16—131no—
1151C2×M16—131no—
1152C22×C8—131no—
1153C22×C8—131no—
1154C22×C8—131no—
1155C22×C8—131no—
1156C4⋊Q8—131no—
1157C4⋊Q8—131no—
1158C4⋊Q8—131no—
1159C4⋊Q8—131no—
1160#127—131no—
1161#127—131no—
1162#127—131no—
1163#127—131no—
1164#126—21no—
1165#126—261no—
1166#126—261no—
1167#126—261no—
1168#125—131no—
1169#125—261no—
1170#125C22×D1311yescharacteristic
1171#124—131no—
1172#124—261no—
1173#124—261no—
1174#124—261no—
1175#124—261no—
1176#124—261no—
1177#124C22×D1311yescharacteristic
1178#123—21no—
1179#123—261no—
1180#123—261no—
1181#123—261no—
1182#123—261no—
1183#123—261no—
1184#123—261no—
1185#123—261no—
1186#123—261no—
1187#123—261no—
1188#123—261no—
1189#123—261no—
1190#123—261no—
1191#123—261no—
1192C22⋊Q8—131no—
1193C22⋊Q8—261no—
1194C22⋊Q8—261no—
1195C22⋊Q8—261no—
1196C22⋊Q8—261no—
1197C22⋊Q8—261no—
1198C22⋊Q8—261no—
1199C22⋊Q8—261no—
1200C22⋊Q8—261no—
1201C22⋊Q8—261no—
1202C22⋊Q8—261no—
1203C22⋊Q8—261no—
1204C22⋊Q8C22×D1311yescharacteristic
1205#121—131no—
1206#121—131no—
1207#121—131no—
1208#121—131no—
1209#121—131no—
1210#121—131no—
1211#121—131no—
1212#121—131no—
1213#121—131no—
1214#121—261no—
1215#121—261no—
1216#121—261no—
1217#121—261no—
1218#121—261no—
1219#121—261no—
1220#121—261no—
1221#121—261no—
1222#121—261no—
1223#121—261no—
1224#121—261no—
1225#121—261no—
1226#121—261no—
1227#121—261no—
1228#121—261no—
1229#121C22×D1311yescharacteristic
1230#120—261no—
1231#120—261no—
1232#120—261no—
1233#120—261no—
1234#120—261no—
1235#120—261no—
1236#120—261no—
1237#120—261no—
1238#120—261no—
1239#120—261no—
1240C4×Q8—131no—
1241C4×Q8—131no—
1242C4×Q8—131no—
1243C4×Q8C22×D1311yescharacteristic
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—131no—
1248C4×D4—131no—
1249C4×D4—131no—
1250C4×D4—131no—
1251C4×D4—131no—
1252C4×D4—131no—
1253C4×D4—131no—
1254C4×D4—131no—
1255C4×D4—131no—
1256C4×D4—131no—
1257C4×D4—131no—
1258C4×D4—131no—
1259C4×D4—131no—
1260C4×D4—131no—
1261C4×D4—131no—
1262C4×D4—131no—
1263C4×D4—131no—
1264C4×D4—131no—
1265C4×D4—131no—
1266C4×D4—261no—
1267C4×D4—261no—
1268C4×D4—261no—
1269C4×D4—261no—
1270C4×D4—261no—
1271C4×D4—261no—
1272C4×D4—261no—
1273C4×D4—261no—
1274C4×D4—261no—
1275C4×D4—261no—
1276C4×D4—261no—
1277C4×D4—261no—
1278C4×D4—261no—
1279C4×D4—261no—
1280C4×D4—261no—
1281C4×D4—261no—
1282C4×D4—261no—
1283C4×D4—261no—
1284C4×D4—261no—
1285C4×D4C22×D1311yescharacteristic
1286C4×D4C22×D1311yescharacteristic
1287C4×D4C22×D1311yescharacteristic
1288C4×D4C22×D1311yescharacteristic
1289C4×D4C22×D1311yescharacteristic
1290#117—21no—
1291#117—131no—
1292#117—131no—
1293#117—131no—
1294#117—131no—
1295#117—261no—
1296#117—261no—
1297C2×C4⋊C4—131no—
1298C2×C4⋊C4—131no—
1299C2×C4⋊C4—131no—
1300C2×C4⋊C4—131no—
1301C2×C4⋊C4—261no—
1302C2×C4⋊C4C22×D1311yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—261no—
1305C2×C22⋊C4—261no—
1306C2×C22⋊C4—261no—
1307C2×C22⋊C4—261no—
1308C2×C22⋊C4—261no—
1309C2×C22⋊C4—261no—
1310C2×C42—131no—
1311C2×C42—131no—
1312C2×C42—261no—
1313C2×C42C22×D1311yescharacteristic
1314#107—131no—
1315#107—131no—
1316#107C22×D1311yescharacteristic
1317#107C22×D1311yescharacteristic
1318#106—131no—
1319#106—131no—
1320#106—131no—
1321#106—131no—
1322#106—131no—
1323#106—131no—
1324#106—131no—
1325#106—131no—
1326#106—131no—
1327#106—131no—
1328#106C22×D1311yescharacteristic
1329#106C22×D1311yescharacteristic
1330C4⋊C8—131no—
1331C4⋊C8—131no—
1332C4⋊C8—131no—
1333C4⋊C8—131no—
1334C4⋊C8C22×D1311yescharacteristic
1335C4⋊C8C22×D1311yescharacteristic
1336#103—131no—
1337#103—131no—
1338#103C22×D1311yescharacteristic
1339#103C22×D1311yescharacteristic
1340#102—131no—
1341#102—131no—
1342#102—131no—
1343#102—131no—
1344#102—131no—
1345#102—131no—
1346#102—131no—
1347#102—131no—
1348#102—131no—
1349#102—131no—
1350#102—131no—
1351#102—131no—
1352#102—131no—
1353#102—131no—
1354#102—131no—
1355#102—131no—
1356#102—131no—
1357#102—131no—
1358#102—131no—
1359#102—131no—
1360#102—131no—
1361#102—131no—
1362#102C22×D1311yescharacteristic
1363#102C22×D1311yescharacteristic
1364#102C22×D1311yescharacteristic
1365#102C22×D1311yescharacteristic
1366#102C22×D1311yescharacteristic
1367#102C22×D1311yescharacteristic
1368C22⋊C8—131no—
1369C22⋊C8—131no—
1370C22⋊C8—131no—
1371C22⋊C8—131no—
1372C22⋊C8C22×D1311yescharacteristic
1373C22⋊C8C22×D1311yescharacteristic
1374#97—131no—
1375#97—131no—
1376#97—131no—
1377#97—131no—
1378#97—131no—
1379#97—131no—
1380#97C22×D1311yescharacteristic
1381#97C22×D1311yescharacteristic
1382C4×C8—131no—
1383C4×C8—131no—
1384C2×C13—22no—
1385C2×C13—42no—
1386C2×C13—81no—
1387C2×C13—81no—
1388C2×C13D4×#4111yescharacteristic
1389C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1390C2×C13#358511yescharacteristic
1391D13—22no—
1392D13—41no—
1393D13—42no—
1394D13—81no—
1395D13—81no—
1396D13—81no—
1397C24—21no—
1398C24—261no—
1399C24—261no—
1400C24—261no—
1401C24—261no—
1402#41—264no—
1403#41—262no—
1404#41—524no—
1405#41—524no—
1406#41—524no—
1407#41—524no—
1408#41—524no—
1409#41—524no—
1410#41—524no—
1411#41—521no—
1412#41—1042no—
1413C2×Q8—131no—
1414C2×Q8—261no—
1415C2×Q8—261no—
1416C2×Q8—261no—
1417C2×Q8—261no—
1418C2×Q8—524no—
1419C2×Q8C23×D1311yescharacteristic
1420C2×D4—22no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—41no—
1424C2×D4—131no—
1425C2×D4—131no—
1426C2×D4—131no—
1427C2×D4—131no—
1428C2×D4—131no—
1429C2×D4—131no—
1430C2×D4—131no—
1431C2×D4—262no—
1432C2×D4—261no—
1433C2×D4—261no—
1434C2×D4—261no—
1435C2×D4—261no—
1436C2×D4—261no—
1437C2×D4—261no—
1438C2×D4—261no—
1439C2×D4—261no—
1440C2×D4—261no—
1441C2×D4—261no—
1442C2×D4—261no—
1443C2×D4—261no—
1444C2×D4—261no—
1445C2×D4—261no—
1446C2×D4—262no—
1447C2×D4—262no—
1448C2×D4—262no—
1449C2×D4—261no—
1450C2×D4—261no—
1451C2×D4—261no—
1452C2×D4—261no—
1453C2×D4—261no—
1454C2×D4—261no—
1455C2×D4—261no—
1456C2×D4—261no—
1457C2×D4—521no—
1458C2×D4—524no—
1459C2×D4—521no—
1460C2×D4—521no—
1461C2×D4—521no—
1462C2×D4—524no—
1463C2×D4—524no—
1464C2×D4—524no—
1465C2×D4C23×D1311yescharacteristic
1466C2×D4C23×D1311yescharacteristic
1467C2×D4C23×D1311yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—44no—
1475C22×C4—131no—
1476C22×C4—131no—
1477C22×C4—131no—
1478C22×C4—131no—
1479C22×C4—131no—
1480C22×C4—131no—
1481C22×C4—261no—
1482C22×C4—261no—
1483C22×C4—261no—
1484C22×C4—261no—
1485C22×C4—261no—
1486C22×C4—261no—
1487C22×C4—261no—
1488C22×C4—261no—
1489C22×C4—261no—
1490C22×C4—261no—
1491C22×C4—261no—
1492C22×C4—261no—
1493C22×C4—261no—
1494C22×C4—261no—
1495C22×C4—261no—
1496C22×C4—261no—
1497C22×C4—261no—
1498C22×C4—261no—
1499C22×C4—524no—
1500C22×C4—524no—
1501C22×C4—1042no—
1502C22×C4—1042no—
1503C22×C4D4×D1311yescharacteristic
1504C22×C4D4×D1311yescharacteristic
1505C22×C4C23×D1311yescharacteristic
1506SD16—22no—
1507SD16—41no—
1508SD16—262no—
1509SD16—521no—
1510D8—22no—
1511D8—41no—
1512D8—134no—
1513D8—262no—
1514D8—262no—
1515D8—262no—
1516D8—262no—
1517D8—262no—
1518D8—262no—
1519D8—521no—
1520D8—521no—
1521D8—521no—
1522M16—262no—
1523M16—521no—
1524C2×C8—131no—
1525C2×C8—131no—
1526C2×C8—131no—
1527C2×C8—131no—
1528C2×C8—262no—
1529C2×C8—262no—
1530C2×C8—521no—
1531C2×C8—521no—
1532C2×C8C23×D1311yescharacteristic
1533C2×C8C23×D1311yescharacteristic
1534C2×C8C23×D1311yescharacteristic
1535C2×C8C23×D1311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—131no—
1542C4⋊C4—131no—
1543C4⋊C4—131no—
1544C4⋊C4—131no—
1545C4⋊C4—131no—
1546C4⋊C4—131no—
1547C4⋊C4—131no—
1548C4⋊C4—131no—
1549C4⋊C4—131no—
1550C4⋊C4—131no—
1551C4⋊C4—261no—
1552C4⋊C4—261no—
1553C4⋊C4—261no—
1554C4⋊C4—261no—
1555C4⋊C4—261no—
1556C4⋊C4—261no—
1557C4⋊C4—261no—
1558C4⋊C4—261no—
1559C4⋊C4—261no—
1560C4⋊C4—261no—
1561C4⋊C4—261no—
1562C4⋊C4—261no—
1563C4⋊C4C23×D1311yescharacteristic
1564C4⋊C4C23×D1311yescharacteristic
1565C4⋊C4C23×D1311yescharacteristic
1566C4⋊C4C23×D1311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—131no—
1577C22⋊C4—131no—
1578C22⋊C4—131no—
1579C22⋊C4—131no—
1580C22⋊C4—131no—
1581C22⋊C4—131no—
1582C22⋊C4—261no—
1583C22⋊C4—261no—
1584C22⋊C4—261no—
1585C22⋊C4—261no—
1586C22⋊C4—261no—
1587C22⋊C4—261no—
1588C22⋊C4—261no—
1589C22⋊C4—261no—
1590C22⋊C4—261no—
1591C22⋊C4—261no—
1592C22⋊C4—261no—
1593C22⋊C4—261no—
1594C22⋊C4—261no—
1595C22⋊C4—261no—
1596C22⋊C4—261no—
1597C22⋊C4—261no—
1598C22⋊C4—261no—
1599C22⋊C4—261no—
1600C22⋊C4—261no—
1601C22⋊C4—261no—
1602C22⋊C4—261no—
1603C22⋊C4—261no—
1604C22⋊C4—261no—
1605C22⋊C4—261no—
1606C22⋊C4—261no—
1607C22⋊C4—261no—
1608C42—21no—
1609C42—131no—
1610C42—131no—
1611C42—131no—
1612C42—131no—
1613C42—131no—
1614C42—131no—
1615C42—261no—
1616C42—261no—
1617C42D4×D1311yescharacteristic
1618C42D4×D1311yescharacteristic
1619C42C23×D1311yescharacteristic
1620C42C23×D1311yescharacteristic
1621C13#6145111yescharacteristic, complemented, Sylow
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—42no—
1626C23—42no—
1627C23—81no—
1628C23—131no—
1629C23—131no—
1630C23—261no—
1631C23—261no—
1632C23—261no—
1633C23—261no—
1634C23—522no—
1635C23—522no—
1636C23—522no—
1637C23—522no—
1638C23—522no—
1639C23—522no—
1640C23—522no—
1641C23—522no—
1642C23—1041no—
1643C23—1041no—
1644C23—1041no—
1645C23—1041no—
1646C23C2×D4×D1311yescharacteristic
1647Q8—21no—
1648Q8—21no—
1649Q8—262no—
1650Q8—522no—
1651Q8—522no—
1652Q8—522no—
1653Q8—1041no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—42no—
1660D4—42no—
1661D4—134no—
1662D4—132no—
1663D4—262no—
1664D4—262no—
1665D4—261no—
1666D4—261no—
1667D4—261no—
1668D4—261no—
1669D4—261no—
1670D4—261no—
1671D4—261no—
1672D4—522no—
1673D4—522no—
1674D4—522no—
1675D4—522no—
1676D4—522no—
1677D4—522no—
1678D4—522no—
1679D4—522no—
1680D4—522no—
1681D4—522no—
1682D4—522no—
1683D4—522no—
1684D4—522no—
1685D4—522no—
1686D4—522no—
1687D4—522no—
1688D4—1041no—
1689D4—1041no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4—1041no—
1694D4#41×D1312yes—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—41no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—131no—
1711C2×C4—131no—
1712C2×C4—131no—
1713C2×C4—131no—
1714C2×C4—131no—
1715C2×C4—131no—
1716C2×C4—262no—
1717C2×C4—262no—
1718C2×C4—261no—
1719C2×C4—261no—
1720C2×C4—261no—
1721C2×C4—261no—
1722C2×C4—261no—
1723C2×C4—261no—
1724C2×C4—261no—
1725C2×C4—261no—
1726C2×C4—521no—
1727C2×C4—521no—
1728C2×C4—522no—
1729C2×C4—522no—
1730C2×C4—522no—
1731C2×C4—522no—
1732C2×C4—522no—
1733C2×C4—522no—
1734C2×C4—522no—
1735C2×C4—522no—
1736C2×C4—522no—
1737C2×C4—522no—
1738C2×C4—522no—
1739C2×C4—522no—
1740C2×C4—1041no—
1741C2×C4—1041no—
1742C2×C4—1041no—
1743C2×C4—1041no—
1744C2×C4—1041no—
1745C2×C4—1041no—
1746C2×C4C2×D4×D1311yescharacteristic
1747C2×C4C2×D4×D1311yescharacteristic
1748C2×C4C2×D4×D1311yescharacteristic
1749C2×C4C2×D4×D1311yescharacteristic
1750C2×C4C2×D4×D1311yescharacteristic
1751C2×C4C24×D1311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—21no—
1756C8—132no—
1757C8—261no—
1758C8—261no—
1759C8—261no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—84no—
1772C22—132no—
1773C22—261no—
1774C22—261no—
1775C22—261no—
1776C22—261no—
1777C22—262no—
1778C22—261no—
1779C22—521no—
1780C22—521no—
1781C22—521no—
1782C22—521no—
1783C22—521no—
1784C22—521no—
1785C22—521no—
1786C22—521no—
1787C22—521no—
1788C22—521no—
1789C22—521no—
1790C22—1044no—
1791C22—1044no—
1792C22—1044no—
1793C22—1044no—
1794C22D13×AGL(1,ℤ/8)12yes—
1795C22C22×D4×D1311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—132no—
1807C4—261no—
1808C4—261no—
1809C4—261no—
1810C4—261no—
1811C4—261no—
1812C4—521no—
1813C4—521no—
1814C4—521no—
1815C4—521no—
1816C4C2×#41×D1311yescharacteristic
1817C4#1171964811yescharacteristic
1818C2—22no—
1819C2—42no—
1820C2—81no—
1821C2—81no—
1822C2—262no—
1823C2—521no—
1824C2—522no—
1825C2—1041no—
1826C2—1041no—
1827C2—1041no—
1828C2#1312831911yescharacteristic
1829C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
1830C2#1312961311yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3114C2
socleC22×C13C23×D4
hypercenter#3114D13
hypocenterC13#61451
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #13128442C2semidirect
2. D4×#6127C2semidirect
3. #13127873C2semidirect
4. #13127738C2semidirect
5. #13127623C2semidirect
6. #13127546C2semidirect
7. #13127310C2semidirect
8. #13127303C2semidirect
9. #13127186C2semidirect
10. #13126981C2semidirect
11. #13126974C2semidirect
12. #13126804C2semidirect
13. #13126795C2semidirect
14. #13126653C2semidirect
15. #13126647C2semidirect
16. #13126506C2semidirect
17. #13126322C2semidirect
18. #13126320C2semidirect
19. #13125571C2semidirect
20. #13125535C2semidirect
21. #13125530C2semidirect
22. #13124985C2semidirect
23. #13124978C2semidirect
24. #13124928C2semidirect
25. #13124925C2semidirect
26. #13124925C2semidirect
27. #13123845C2semidirect
28. #13123641C2semidirect
29. C2×#11718675C2semidirect
30. D13×#442C2semidirect
31. C13×#3114C2semidirect
33. C13×#529C22semidirect
34. C2×C4×D4×C13C22semidirect
36. D4×C22⋊D13C22semidirect
43. #11719400C22semidirect
44. #11719395C22semidirect
45. #11719386C22semidirect
46. #11719381C22semidirect
49. #11719340C22semidirect
50. #11719335C22semidirect
51. #11719323C22semidirect
52. #11719314C22semidirect
53. #11719285C22semidirect
54. C4×#6131C22semidirect
55. #11719258C22semidirect
57. #11719256C22semidirect
59. D4×D52C22semidirect
60. #11719253C22semidirect
61. #11719253C22semidirect
62. #11719253C22semidirect
67. C4×D4×D13C22semidirect
68. C4×D4×D13C22semidirect
69. C4×D4×D13C22semidirect
70. D4×Dic26C22semidirect
74. #11719212C22semidirect
77. #11719182C22semidirect
79. C2×C4×D52C22semidirect
80. C13×#483C22semidirect
81. C13×#480C22semidirect
82. C13×#478C22semidirect
83. C13×#478C22semidirect
84. C13×#463C22semidirect
85. C13×#463C22semidirect
86. C13×#450C22semidirect
88. C13×#442C22semidirect
89. C13×#442C22semidirect
90. C13×#440C22semidirect
91. C13×#440C22semidirect
92. C13×#432C22semidirect
93. C2×#88072C22semidirect
94. #11718837C22semidirect
95. #11718833C22semidirect
96. #11718832C22semidirect
97. #11718830C22semidirect
98. #11718826C22semidirect
99. #11718824C22semidirect
100. SD16×Dic13C22semidirect
101. #11718820C22semidirect
102. #11718817C22semidirect
103. #11718817C22semidirect
104. #11718813C22semidirect
105. #11718812C22semidirect
107. #11718811C22semidirect
108. #11718728C22semidirect
109. #11718726C22semidirect
110. #11718719C22semidirect
111. #11718716C22semidirect
112. #11718709C22semidirect
113. #11718709C22semidirect
114. #11718699C22semidirect
115. #11718699C22semidirect
116. #11718687C22semidirect
117. #11718687C22semidirect
120. #11718675C22semidirect
121. #11718675C22semidirect
122. #11718675C22semidirect
123. #11718675C22semidirect
124. #11718675C22semidirect
125. #11718675C22semidirect
126. #11718675C22semidirect
127. #11718675C22semidirect
128. C2×#88049C22semidirect
129. C2×#88048C22semidirect
130. C2×#88043C22semidirect
131. #11718552C22semidirect
132. #11718551C22semidirect
133. #11718546C22semidirect
134. #11718544C22semidirect
135. #11718543C22semidirect
136. #11718542C22semidirect
137. #11718537C22semidirect
138. #11718533C22semidirect
139. #11718531C22semidirect
140. #11718531C22semidirect
141. #11718530C22semidirect
142. #11718526C22semidirect
143. #11718524C22semidirect
144. #11718524C22semidirect
145. D13×#106C22semidirect
146. #11718516C22semidirect
147. #11718504C22semidirect
148. #11718504C22semidirect
149. #11718503C22semidirect
150. #11718503C22semidirect
151. #11718497C22semidirect
152. #11718497C22semidirect
153. #11718489C22semidirect
154. #11718489C22semidirect
155. #11718480C22semidirect
156. #11718472C22semidirect
157. #11718468C22semidirect
158. #11718466C22semidirect
159. #11718464C22semidirect
160. #11718456C22semidirect
161. #11718452C22semidirect
162. #11718449C22semidirect
163. #11718447C22semidirect
164. #11718447C22semidirect
165. #11718447C22semidirect
167. #11718446C22semidirect
168. #11718443C22semidirect
169. #11718443C22semidirect
170. #11718440C22semidirect
171. #11718438C22semidirect
172. #11718438C22semidirect
173. #11718436C22semidirect
175. #11718434C22semidirect
176. #11718434C22semidirect
177. #11718431C22semidirect
178. D13×#102C22semidirect
179. D13×#102C22semidirect
180. #11718425C22semidirect
181. #11718424C22semidirect
182. #11718422C22semidirect
183. #11718422C22semidirect
184. #11718421C22semidirect
185. #11718421C22semidirect
187. #11718396C22semidirect
188. #11718396C22semidirect
189. #11718393C22semidirect
190. #11718393C22semidirect
191. #11718391C22semidirect
192. #11718391C22semidirect
193. #11718386C22semidirect
194. #11718386C22semidirect
195. #11718372C22semidirect
196. #11718372C22semidirect
197. #11718372C22semidirect
198. #11718372C22semidirect
199. #11718368C22semidirect
200. #11718366C22semidirect
201. #11718366C22semidirect
202. D13×#97C22semidirect
638. #6104#41semidirect
730. #3114D13semidirect
809. C22⋊D13AGL(1,ℤ/8)semidirect
840. D52C2×#41semidirect
875. #1055C2×#41semidirect
910. #529C2×D13semidirect
923. C2×C4×D4C2×D13semidirect
937. #483C2×D13semidirect
947. #480C2×D13semidirect
950. #478C2×D13semidirect
951. #478C2×D13semidirect
974. #463C2×D13semidirect
975. #463C2×D13semidirect
985. #450C2×D13semidirect
1016. #442C2×D13semidirect
1017. #442C2×D13semidirect
1020. #440C2×D13semidirect
1021. #440C2×D13semidirect
1034. #432C2×D13semidirect
1621. C13#61451semidirect

Maximal subgroups

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

subgroupindex
#131284422
D4×#61272
#131278732
#131277382
#131276232
#131275462
#131273102
#131273032
#131271862
#131269812
#131269742
#131268042
#131267952
#131266532
#131266472
#131265062
#131263222
#131263202
#131255712
#131255352
#131255302
#131249852
#131249782
#131249282
#131249252
#131238452
#131236412
C2×#117186752
D13×#4422
C13×#31142
#6145113