Finite Group Databasebeta

← #16741763

Subgroups — #16741763

Order 3328.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128402C211yesmaximal, characteristic, complemented
2D13×#553C211yesmaximal, characteristic, complemented
3#13127442C211yesmaximal, characteristic, complemented
4#13127438C211yesmaximal, characteristic, complemented
5#13127402C211yesmaximal, characteristic, complemented
6#13127394C211yesmaximal, characteristic, complemented
7#13127386C211yesmaximal, characteristic, complemented
8#13127378C211yesmaximal, characteristic, complemented
9#13127343C211yesmaximal, characteristic, complemented
10#13127335C211yesmaximal, characteristic, complemented
11#13127315C211yesmaximal, characteristic, complemented
12#13127308C211yesmaximal, characteristic, complemented
13#13127300C211yesmaximal, characteristic, complemented
14#13127236C211yesmaximal, characteristic, complemented
15#13127234C211yesmaximal, characteristic, complemented
16#13127221C211yesmaximal, characteristic, complemented
17#13127213C211yesmaximal, characteristic, complemented
18#13125387C211yesmaximal, characteristic, complemented
19#13124773C211yesmaximal, characteristic, complemented
20#13124771C211yesmaximal, characteristic, complemented
21#13124768C211yesmaximal, characteristic, complemented
22#13124763C211yesmaximal, characteristic, complemented
23#13124655C211yesmaximal, characteristic, complemented
24#13124628C211yesmaximal, characteristic, complemented
25#13124450C211yesmaximal, characteristic, complemented
26#13124448C211yesmaximal, characteristic, complemented
27#13123641C211yesmaximal, characteristic, complemented
28#13123569C211yesmaximal, characteristic, complemented
29#13123423C211yesmaximal, characteristic, complemented
30C2×#11718542C211yesmaximal, characteristic, complemented
31C13×#3346C211yesmaximal, characteristic, complemented
32C13×#554C2211yescharacteristic, complemented
33C13×#553C2211yescharacteristic
34C2×#88168C2211yescharacteristic
35C2×M16×D13C2211yescharacteristic
36C22×#6094C2211yescharacteristic
37#11719439C2211yescharacteristic, complemented
38#11719433C2211yescharacteristic
39#11719414—21no—
40D13×#126—21no—
41#11719400C2211yescharacteristic
42#11719399—21no—
43#11719396—21no—
44D13×#125C2211yescharacteristic
45#11719366—21no—
46D13×#123—21no—
47#11719347C2211yescharacteristic, complemented
48#11719347C2211yescharacteristic, complemented
49#11719342—21no—
50#11719342—21no—
51#11719332C2211yescharacteristic
52#11719332C2211yescharacteristic
53#11719329—21no—
54#11719329—21no—
55#11719323C2211yescharacteristic
56#11719319C2211yescharacteristic
57D13×#121—21no—
58D13×#121C2211yescharacteristic
59D13×#121C2211yescharacteristic
60#11719306—21no—
61#11719289C2211yescharacteristic, complemented
62C4×#6131C2211yescharacteristic
63#11719270C2211yescharacteristic
64#11719263C2211yescharacteristic
65#11719260C2211yescharacteristic, complemented
66#11719259—21no—
67C4×D4×D13—21no—
68C4×D4×D13C2211yescharacteristic
69C4×D4×D13C2211yescharacteristic
70#11719245—21no—
71C4×#6129—21no—
72#11719235C2211yescharacteristic
73D13×#117C2211yescharacteristic
74#11719219C2211yescharacteristic
75#11719219C2211yescharacteristic, complemented
76#11719219C2211yescharacteristic, complemented
77C2×#88146C2211yescharacteristic
78C2×#88146C2211yescharacteristic
79C2×C4⋊C4×D13C2211yescharacteristic
80C13×#501C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#484C2211yescharacteristic, complemented
83C13×#481C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#479C2211yescharacteristic, complemented
86C13×#474C2211yescharacteristic, complemented
87C13×#468C2211yescharacteristic, complemented
88C13×#465C2211yescharacteristic, complemented
89C13×#440C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic, complemented
91C13×#428C2211yescharacteristic, complemented
92C2×C13×#107C2211yescharacteristic, complemented
93#11718835C2211yescharacteristic, complemented
94#11718832C2211yescharacteristic, complemented
95SD16×Dic13C2211yescharacteristic, complemented
96#11718796C2211yescharacteristic, complemented
97#11718789C2211yescharacteristic, complemented
98#11718782C2211yescharacteristic, complemented
99#11718776C2211yescharacteristic, complemented
100C8×C22⋊D13C2211yescharacteristic, complemented
101C2×#88057C2211yescharacteristic, complemented
102#11718748C2211yescharacteristic, complemented
103#11718741C2211yescharacteristic, complemented
104#11718727C2211yescharacteristic, complemented
105#11718726C2211yescharacteristic, complemented
106#11718710C2211yescharacteristic, complemented
107#11718709C2211yescharacteristic, complemented
108#11718706C2211yescharacteristic, complemented
109#11718705C2211yescharacteristic, complemented
110#11718700C2211yescharacteristic, complemented
111#11718699C2211yescharacteristic, complemented
112#11718695C2211yescharacteristic, complemented
113#11718694C2211yescharacteristic, complemented
114#11718687C2211yescharacteristic, complemented
115#11718683C2211yescharacteristic, complemented
116#11718675C2211yescharacteristic, complemented
117#11718672C2211yescharacteristic, complemented
118#11718669C2211yescharacteristic, complemented
119#11718664C2211yescharacteristic, complemented
120#11718656C2211yescharacteristic, complemented
121#11718629C2211yescharacteristic, complemented
122#11718629C2211yescharacteristic, complemented
123#11718628C2211yescharacteristic, complemented
124#11718625C2211yescharacteristic, complemented
125C2×#88048C2211yescharacteristic, complemented
126C2×#88047C2211yescharacteristic, complemented
127#11718552C2211yescharacteristic, complemented
128#11718552C2211yescharacteristic, complemented
129#11718552C2211yescharacteristic, complemented
130#11718546C2211yescharacteristic, complemented
131#11718546C2211yescharacteristic, complemented
132#11718546C2211yescharacteristic, complemented
133#11718544C2211yescharacteristic, complemented
134#11718543C2211yescharacteristic, complemented
135#11718543C2211yescharacteristic, complemented
136#11718542C2211yescharacteristic
137#11718542C2211yescharacteristic
138#11718542C2211yescharacteristic
139#11718542C2211yescharacteristic
140#11718542C2211yescharacteristic
141#11718542C2211yescharacteristic
142#11718542C2211yescharacteristic, complemented
143#11718542C2211yescharacteristic, complemented
144#11718542C2211yescharacteristic, complemented
145#11718542C2211yescharacteristic, complemented
146#11718541C2211yescharacteristic, complemented
147#11718541C2211yescharacteristic, complemented
148#11718539C2211yescharacteristic, complemented
149#11718539C2211yescharacteristic, complemented
150#11718533C2211yescharacteristic, complemented
151#11718532C2211yescharacteristic, complemented
152#11718527C2211yescharacteristic, complemented
153#11718527C2211yescharacteristic, complemented
154#11718527C2211yescharacteristic, complemented
155#11718526C2211yescharacteristic, complemented
156#11718522C2211yescharacteristic
157#11718522C2211yescharacteristic
158#11718522C2211yescharacteristic
159#11718521C2211yescharacteristic, complemented
160#11718521C2211yescharacteristic, complemented
161#11718519C2211yescharacteristic, complemented
162#11718519C2211yescharacteristic, complemented
163#11718508C2211yescharacteristic, complemented
164#11718503C2211yescharacteristic, complemented
165#11718498C2211yescharacteristic
166#11718497C2211yescharacteristic, complemented
167#11718476C2211yescharacteristic, complemented
168#11718475C2211yescharacteristic, complemented
169#11718473C2211yescharacteristic, complemented
170#11718468C2211yescharacteristic, complemented
171#11718466C2211yescharacteristic, complemented
172#11718466C2211yescharacteristic, complemented
173#11718464C2211yescharacteristic
174#11718464C2211yescharacteristic
175#11718464C2211yescharacteristic
176#11718460C2211yescharacteristic, complemented
177#11718457C2211yescharacteristic, complemented
178#11718449C2211yescharacteristic, complemented
179#11718445C2211yescharacteristic, complemented
180#11718445C2211yescharacteristic, complemented
181#11718443C2211yescharacteristic, complemented
182#11718440C2211yescharacteristic, complemented
183#11718440C2211yescharacteristic, complemented
184#11718436C2211yescharacteristic, complemented
185#11718431C2211yescharacteristic
186#11718431C2211yescharacteristic
187#11718431C2211yescharacteristic
188#11718424C2211yescharacteristic, complemented
189#11718424C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718397C2211yescharacteristic, complemented
193#11718396C2211yescharacteristic, complemented
194#11718396C2211yescharacteristic, complemented
195#11718390C2211yescharacteristic, complemented
196#11718387C2211yescharacteristic
197#11718387C2211yescharacteristic
198#11718386C2211yescharacteristic, complemented
199#11718372C2211yescharacteristic, complemented
200#11718368C2211yescharacteristic
201#11718367C2211yescharacteristic, complemented
202#11718363C2211yescharacteristic, complemented
203C2×#6131C2311yescharacteristic
204C2×#6129—21no—
205C2×D4×D13—21no—
206C2×D4×D13—21no—
207C2×D4×D13D411yescharacteristic
208C2×D4×D13C2311yescharacteristic
209C22×C4×D13—21no—
210C22×C4×D13—21no—
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C2×C13×SD16C2311yescharacteristic
214C2×C13×M16C2311yescharacteristic
215C22×C8×C13C2311yescharacteristic
216C13×C4⋊Q8C2311yescharacteristic
217C13×#126—21no—
218C13×#125—21no—
219C13×#125C2311yescharacteristic
220C13×#123—21no—
221C13×C22⋊Q8—21no—
222C13×C22⋊Q8—21no—
223C13×C22⋊Q8C2311yescharacteristic
224C13×C22⋊Q8C2311yescharacteristic
225C13×#121—21no—
226C13×#121C2311yescharacteristic
227C13×#121C2311yescharacteristic
228C4×Q8×C13C2311yescharacteristic
229C4×D4×C13—21no—
230C4×D4×C13—21no—
231C4×D4×C13C2311yescharacteristic
232C4×D4×C13C2311yescharacteristic
233C13×#117C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237#88201—21no—
238#88201—21no—
239#88200—21no—
240#88200C2311yescharacteristic
241#88200C2311yescharacteristic
242Q8×Dic13—21no—
243Q8×Dic13C2311yescharacteristic
244C2×#6106C2311yescharacteristic
245#88193—21no—
246#88193—21no—
247#88193—21no—
248#88193—21no—
249#88192—21no—
250#88192C2311yescharacteristic
251#88192C2311yescharacteristic
252#88189—21no—
253D4×Dic13—21no—
254D4×Dic13D411yescharacteristic
255D4×Dic13C2311yescharacteristic
256C2×#6104C2311yescharacteristic
257#88184—21no—
258#88184—21no—
259#88184—21no—
260#88184C2311yescharacteristic
261#88184C2311yescharacteristic
262#88184C2311yescharacteristic
263#88184C2311yescharacteristic
264#88183—21no—
265C4×C22⋊D13—21no—
266C4×C22⋊D13—21no—
267C4×C22⋊D13—21no—
268C4×C22⋊D13—21no—
269C4×C22⋊D13—21no—
270C4×C22⋊D13C2311yescharacteristic
271C4×C22⋊D13C2311yescharacteristic
272C2×#6103—21no—
273C2×#6103—21no—
274#88180C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×#6101—21no—
279C2×C4×Dic13—21no—
280C2×C4×Dic13—21no—
281C2×#6099C2311yescharacteristic
282C22×#1055C2311yescharacteristic
283#88168—24no—
284M16×D13—24no—
285C2×D104C2311yescharacteristic
286C2×#6094—24no—
287C2×#6094C2311yescharacteristic
288C2×#6094C2311yescharacteristic
289C2×#6094C2311yescharacteristic
290C2×#6094C2311yescharacteristic
291C2×#6094C2311yescharacteristic
292C2×#6094C2311yescharacteristic
293C2×C8×D13C2311yescharacteristic
294C2×C8×D13C2311yescharacteristic
295#88152—21no—
296#88152—21no—
297#88152—21no—
298#88152—21no—
299#88152—21no—
300#88152—21no—
301#88152—21no—
302#88152—21no—
303#88152—21no—
304#88151—21no—
305#88151—21no—
306#88149—21no—
307#88149—21no—
308#88149C2311yescharacteristic
309#88149C2311yescharacteristic
310#88149C2311yescharacteristic
311#88149C2311yescharacteristic
312#88148—21no—
313#88148—21no—
314#88148—21no—
315#88148—21no—
316#88148—21no—
317#88148—21no—
318#88147—21no—
319#88147—21no—
320#88147—21no—
321#88147—21no—
322#88147D411yescharacteristic
323#88147C2311yescharacteristic
324#88147C2311yescharacteristic
325#88146—21no—
326#88146—21no—
327#88146—21no—
328#88146—21no—
329#88146—21no—
330#88146—21no—
331#88146C2311yescharacteristic
332#88146C2311yescharacteristic
333#88146C2311yescharacteristic
334#88146C2311yescharacteristic
335#88146C2311yescharacteristic
336#88146C2311yescharacteristic
337#88146C2311yescharacteristic
338#88146C2311yescharacteristic
339#88146C2311yescharacteristic
340C4⋊C4×D13—21no—
341C4⋊C4×D13—21no—
342C4⋊C4×D13—21no—
343C4⋊C4×D13—21no—
344C4⋊C4×D13D411yescharacteristic
345C4⋊C4×D13C2311yescharacteristic
346C4⋊C4×D13C2311yescharacteristic
347C4⋊C4×D13C2311yescharacteristic
348C4⋊C4×D13C2311yescharacteristic
349C4⋊C4×D13C2311yescharacteristic
350#88144—21no—
351#88144—21no—
352#88144C2311yescharacteristic
353#88144C2311yescharacteristic
354#88144C2311yescharacteristic
355#88144C2311yescharacteristic
356#88143—21no—
357#88143—21no—
358#88141—21no—
359#88140—21no—
360#88140—21no—
361#88140—21no—
362#88140—21no—
363#88140—21no—
364#88138—21no—
365#88138—21no—
366#88138—21no—
367#88138—21no—
368#88137—21no—
369#88137—21no—
370#88136—21no—
371#88136—21no—
372#88135—21no—
373#88135—21no—
374#88135—21no—
375#88135—21no—
376#88135—21no—
377#88135D411yescharacteristic
378#88135D411yescharacteristic
379C22⋊C4×D13—21no—
380C22⋊C4×D13—21no—
381C22⋊C4×D13—21no—
382C22⋊C4×D13—21no—
383C22⋊C4×D13D411yescharacteristic
384C22⋊C4×D13D411yescharacteristic
385#88133—21no—
386#88133—21no—
387#88133—21no—
388#88131—21no—
389#88131—21no—
390#88131—21no—
391#88130—21no—
392#88129—21no—
393C4×D52—21no—
394C4×D52—21no—
395C4×D52C2311yescharacteristic
396C4×D52C2311yescharacteristic
397C4×D52C2311yescharacteristic
398#88126—21no—
399C42×D13—21no—
400C42×D13—21no—
401C42×D13C2311yescharacteristic
402#88124C2311yescharacteristic
403#88123C2311yescharacteristic
404C4×Dic26—21no—
405C13×#107C2311yescharacteristic
406C13×#107C2311yescharacteristic
407C13×#107C2311yescharacteristic
408C13×#107C2311yescharacteristic
409C13×#107C2311yescharacteristic
410C13×#107C2311yescharacteristic
411C13×#106C2311yescharacteristic
412C13×#106C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#103C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×C22⋊C8C2311yescharacteristic
422C13×C22⋊C8C2311yescharacteristic
423C13×#97C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88075C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432#88061C2311yescharacteristic
433#88061C2311yescharacteristic
434#88061C2311yescharacteristic
435#88061C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88060C2311yescharacteristic
439#88060C2311yescharacteristic
440#88060C2311yescharacteristic
441#88060C2311yescharacteristic
442#88058C2311yescharacteristic
443#88058C2311yescharacteristic
444#88058C2311yescharacteristic
445#88057C2311yescharacteristic
446#88057C2311yescharacteristic
447#88057C2311yescharacteristic
448#88057C2311yescharacteristic
449#88057C2311yescharacteristic
450#88057C2311yescharacteristic
451#88054C2311yescharacteristic
452#88054C2311yescharacteristic
453C8×Dic13C2311yescharacteristic
454C8×Dic13C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88049C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88048C2311yescharacteristic
467#88048C2311yescharacteristic
468#88048C2311yescharacteristic
469#88048C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480#88043C2311yescharacteristic
481#61255—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13C2×D411yescharacteristic
484C23×D13C2×D411yescharacteristic
485C2×Q8×C13—21no—
486C2×Q8×C13C2411yescharacteristic
487C2×D4×C13—21no—
488C2×D4×C13—21no—
489C2×D4×C13C2×D411yescharacteristic
490C2×D4×C13C2411yescharacteristic
491C22×C4×C13—21no—
492C22×C4×C13—21no—
493C22×C4×C13—21no—
494C22×C4×C13—21no—
495C22×C4×C13C2411yescharacteristic
496C22×C4×C13C2411yescharacteristic
497C2×C22⋊D13—21no—
498C2×C22⋊D13—21no—
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C2×C22⋊D13—21no—
504C2×C22⋊D13C2×D411yescharacteristic
505C2×C22⋊D13C2×D411yescharacteristic
506C22×Dic13—21no—
507C22×Dic13—21no—
508C22×Dic13—21no—
509C22×Dic13—21no—
510C22×Dic13C2×D411yescharacteristic
511C22×Dic13C2×D411yescharacteristic
512#6131—22no—
513#6131—22no—
514#6129—44no—
515D4×D13—22no—
516D4×D13—22no—
517D4×D13—42no—
518D4×D13—44no—
519D4×D13—82no—
520C2×D52—21no—
521C2×D52—21no—
522C2×D52—21no—
523C2×D52—21no—
524C2×D52—21no—
525C2×D52C2×D411yescharacteristic
526C2×D52C2411yescharacteristic
527C2×D52C2411yescharacteristic
528C2×C4×D13—22no—
529C2×C4×D13—22no—
530C2×C4×D13—22no—
531C2×C4×D13—22no—
532C2×C4×D13—21no—
533C2×C4×D13—21no—
534C2×C4×D13—21no—
535C2×C4×D13—21no—
536C2×C4×D13—21no—
537C2×C4×D13—21no—
538C2×C4×D13—21no—
539C2×C4×D13—21no—
540C2×C4×D13—21no—
541C2×C4×D13—21no—
542C2×C4×D13—82no—
543C2×C4×D13—82no—
544C2×C4×D13C2×D411yescharacteristic
545C2×C4×D13C2×D411yescharacteristic
546C2×C4×D13C2×D411yescharacteristic
547C2×C4×D13C2×D411yescharacteristic
548C2×C4×D13C2×D411yescharacteristic
549C2×C4×D13C2×D411yescharacteristic
550C2×C4×D13C2411yescharacteristic
551C2×C4×D13C2411yescharacteristic
552C2×C4×D13C2411yescharacteristic
553C2×Dic26—21no—
554C13×SD16—22no—
555C13×M16—22no—
556C2×C8×C13—22no—
557C2×C8×C13C2411yescharacteristic
558C2×C8×C13C2411yescharacteristic
559C2×C8×C13C2411yescharacteristic
560C2×C8×C13C2411yescharacteristic
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4—21no—
564C13×C4⋊C4—21no—
565C13×C4⋊C4—21no—
566C13×C4⋊C4—21no—
567C13×C4⋊C4—21no—
568C13×C4⋊C4—21no—
569C13×C4⋊C4—21no—
570C13×C4⋊C4C2×D411yescharacteristic
571C13×C4⋊C4C2411yescharacteristic
572C13×C4⋊C4C2411yescharacteristic
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C4⋊C4C2411yescharacteristic
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4C2×D411yescharacteristic
584C13×C22⋊C4C2×D411yescharacteristic
585C42×C13—21no—
586C42×C13—21no—
587C42×C13C2411yescharacteristic
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13—21no—
591C22⋊Dic13—21no—
592C22⋊Dic13C2×D411yescharacteristic
593C22⋊Dic13C2×D411yescharacteristic
594#6106—22no—
595#6104—22no—
596#6103—21no—
597#6103—21no—
598#6103—21no—
599#6103—21no—
600#6103—21no—
601#6103—21no—
602#6103—21no—
603#6103—21no—
604#6103—21no—
605#6103—21no—
606#6103—21no—
607#6103—21no—
608#6103—21no—
609#6103—21no—
610#6103—21no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103—21no—
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103C2×D411yescharacteristic
620#6103C2×D411yescharacteristic
621#6103C2×D411yescharacteristic
622#6103C2×D411yescharacteristic
623C4⋊Dic13—21no—
624C4⋊Dic13—21no—
625C4⋊Dic13—21no—
626C4⋊Dic13—21no—
627C4⋊Dic13—21no—
628C4⋊Dic13—21no—
629C4⋊Dic13—21no—
630C4⋊Dic13—21no—
631C4⋊Dic13—21no—
632C4⋊Dic13C2×D411yescharacteristic
633C4⋊Dic13C2411yescharacteristic
634C4⋊Dic13C2411yescharacteristic
635C4⋊Dic13C2411yescharacteristic
636C4⋊Dic13C2411yescharacteristic
637C4⋊Dic13C2411yescharacteristic
638C4⋊Dic13C2411yescharacteristic
639#6101—21no—
640#6101—21no—
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101C2×D411yescharacteristic
653#6101C2×D411yescharacteristic
654C4×Dic13—21no—
655C4×Dic13—21no—
656C4×Dic13—21no—
657C4×Dic13—21no—
658C4×Dic13—21no—
659C4×Dic13—21no—
660C4×Dic13—21no—
661C4×Dic13—21no—
662C4×Dic13—21no—
663C4×Dic13—21no—
664C4×Dic13—21no—
665C4×Dic13C2×D411yescharacteristic
666C4×Dic13C2×D411yescharacteristic
667C4×Dic13C2411yescharacteristic
668#6099—22no—
669C2×#1055—22no—
670C2×#1055C2411yescharacteristic
671C2×#1055C2411yescharacteristic
672C2×#1055C2411yescharacteristic
673C2×#1055C2411yescharacteristic
674D104—22no—
675#6094—22no—
676#6094—22no—
677#6094—22no—
678#6094—22no—
679#6094—22no—
680#6094#4114yescomplemented
681C8×D13—22no—
682C8×D13—22no—
683#3475—131no—
684C2×#553—131no—
685#3355—131no—
686#3355—131no—
687#3351—131no—
688#3351—131no—
689#3350—131no—
690#3350—131no—
691#3347—131no—
692#3347—131no—
693#3346—131no—
694#3346D1311yescharacteristic, complemented
695#3345—131no—
696#3345—131no—
697#3339—131no—
698#3339—131no—
699#3337—131no—
700#3337—131no—
701#3166—131no—
702#3094—131no—
703#3094—131no—
704#3093—131no—
705#3092—131no—
706#3080—131no—
707#3077—131no—
708#3055—131no—
709#3055—131no—
710C4×AGL(1,ℤ/8)—131no—
711D4×M16—131no—
712#2911—131no—
713C2×#428—131no—
714C23×C13—21no—
715C23×C13C22×D411yescharacteristic
716C23×C13C22×D411yescharacteristic
717C22×D13—22no—
718C22×D13—22no—
719C22×D13—22no—
720C22×D13—21no—
721C22×D13—21no—
722C22×D13—41no—
723C22×D13—41no—
724C22×D13—41no—
725C22×D13—42no—
726C22×D13—42no—
727C22×D13—42no—
728C22×D13C22×D411yescharacteristic
729C22×D13C22×D411yescharacteristic
730C22×D13C22×D411yescharacteristic
731Q8×C13—21no—
732Q8×C13—21no—
733Q8×C13—81no—
734D4×C13—22no—
735D4×C13—21no—
736D4×C13—21no—
737D4×C13—42no—
738D4×C13—81no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—81no—
751C2×C4×C13—81no—
752C2×C4×C13—81no—
753C2×C4×C13—81no—
754C2×C4×C13C22×D411yescharacteristic
755C2×C4×C13C22×D411yescharacteristic
756C2×C4×C13C22×D411yescharacteristic
757C2×C4×C13C22×D411yescharacteristic
758C2×C4×C13C2511yescharacteristic
759C22⋊D13—22no—
760C22⋊D13—41no—
761C22⋊D13—42no—
762C22⋊D13—42no—
763C22⋊D13—42no—
764C22⋊D13—42no—
765C22⋊D13—42no—
766C22⋊D13—81no—
767C22⋊D13—81no—
768C2×Dic13—22no—
769C2×Dic13—22no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—42no—
777C2×Dic13—42no—
778C2×Dic13—81no—
779C2×Dic13—81no—
780C2×Dic13C22×D411yescharacteristic
781C2×Dic13C22×D411yescharacteristic
782C2×Dic13C22×D411yescharacteristic
783C2×Dic13C22×D411yescharacteristic
784C2×Dic13C22×D411yescharacteristic
785D52—21no—
786D52—21no—
787D52—21no—
788D52—21no—
789D52—41no—
790D52—42no—
791D52—42no—
792D52—81no—
793D52—81no—
794D52—81no—
795C4×D13—22no—
796C4×D13—22no—
797C4×D13—21no—
798C4×D13—21no—
799C4×D13—21no—
800C4×D13—21no—
801C4×D13—22no—
802C4×D13—22no—
803C4×D13—41no—
804C4×D13—41no—
805C4×D13—42no—
806C4×D13—42no—
807C4×D13—42no—
808C4×D13—42no—
809C4×D13—42no—
810C4×D13—81no—
811C4×D13—81no—
812C4×D13—81no—
813C4×D13—81no—
814C4×D13—81no—
815C4×D13C2×#4112yes—
816C4×D132−1+412yes—
817Dic26—42no—
818C8×C13—21no—
819C8×C13—21no—
820C8×C13—21no—
821C8×C13C2×#4112yes—
822#1055—21no—
823#1055—21no—
824#1055—21no—
825#1055C2×#4112yes—
826C2×AGL(1,ℤ/8)—131no—
827C22×M16—131no—
828C22×M16—131no—
829#556—131no—
830#555—131no—
831#554C2×D1311yescharacteristic, complemented
832#553—131no—
833#553—131no—
834#553—131no—
835#553—131no—
836#553—131no—
837#553—131no—
838#553—131no—
839#553—131no—
840#553—131no—
841#553—261no—
842#553—261no—
843#553—261no—
844#553—261no—
845#553C2×D1311yescharacteristic
846#552—131no—
847#552—131no—
848#552—261no—
849#551—261no—
850#551—261no—
851#547—131no—
852#546—261no—
853#533—131no—
854#529—261no—
855#529—261no—
856#529—261no—
857C2×#126—261no—
858C2×#125—131no—
859#525—131no—
860#525—131no—
861C2×#123—261no—
862C2×#121—131no—
863C2×#121—131no—
864C2×#121—261no—
865C4×#41—131no—
866C4×#41—261no—
867C2×C4×D4—131no—
868C2×C4×D4—131no—
869C2×C4×D4—261no—
870C2×#117—131no—
871C2×#117—131no—
872C2×#117—131no—
873C22×C4⋊C4—131no—
874#501—131no—
875#501—131no—
876#501—131no—
877#501C2×D1311yescharacteristic, complemented
878#499—131no—
879#499—131no—
880#499—131no—
881#499—131no—
882#485—131no—
883#485—131no—
884#485—131no—
885#485C2×D1311yescharacteristic, complemented
886#484—131no—
887#484C2×D1311yescharacteristic, complemented
888#483—131no—
889#483—131no—
890#482—131no—
891#482—131no—
892#482—131no—
893#482—131no—
894#482—131no—
895#482—131no—
896#482—131no—
897#482—131no—
898#482—131no—
899#482—131no—
900#482—131no—
901#482—131no—
902#481—131no—
903#481—131no—
904#481—131no—
905#481—131no—
906#481—131no—
907#481C2×D1311yescharacteristic, complemented
908#480—131no—
909#480—131no—
910#480—131no—
911#480—131no—
912#480—131no—
913#480C2×D1311yescharacteristic, complemented
914#479—131no—
915#479—131no—
916#479—131no—
917#479C2×D1311yescharacteristic, complemented
918#478—131no—
919#478—131no—
920#478—131no—
921#478—131no—
922#478—131no—
923#478—131no—
924#478—131no—
925#478—131no—
926#476—131no—
927#476—131no—
928#474—131no—
929#474C2×D1311yescharacteristic, complemented
930#469—131no—
931#469—131no—
932#469—131no—
933#469—131no—
934#468—131no—
935#468—131no—
936#468—131no—
937#468C2×D1311yescharacteristic, complemented
938#466—131no—
939#466—131no—
940#466—131no—
941#466—131no—
942#465—131no—
943#465—131no—
944#465—131no—
945#465C2×D1311yescharacteristic, complemented
946#442—131no—
947#442—131no—
948#440—131no—
949#440C2×D1311yescharacteristic, complemented
950C4×SD16—131no—
951C4×SD16—131no—
952C4×D8—131no—
953C4×D8—131no—
954#436—131no—
955#436—131no—
956#435—131no—
957#435—131no—
958#435—131no—
959#435C2×D1311yescharacteristic, complemented
960C8×D4—131no—
961C8×D4—131no—
962#428—131no—
963#428—131no—
964#428—131no—
965#428—131no—
966#428—131no—
967#428—131no—
968#428—131no—
969#428—131no—
970#428—131no—
971#428—131no—
972#428—131no—
973#428—131no—
974#428—131no—
975#428—131no—
976#428—131no—
977#428—131no—
978#428C2×D1311yescharacteristic, complemented
979#427—131no—
980#427—131no—
981#427—131no—
982#427—131no—
983C2×#107—131no—
984C2×#107C2×D1311yescharacteristic, complemented
985C2×#106—131no—
986C2×#106—131no—
987#423—131no—
988#418—131no—
989#418—131no—
990#418—131no—
991#417—131no—
992#417—131no—
993#417—131no—
994#407—131no—
995#407—131no—
996C4×M16—131no—
997C22×C13—21no—
998C22×C13—21no—
999C22×C13—21no—
1000C22×C13—21no—
1001C22×C13—21no—
1002C22×C13—41no—
1003C22×C13—41no—
1004C22×C13—41no—
1005C22×C13#57512yes—
1006C22×C13C23×D411yescharacteristic
1007C2×D13—21no—
1008C2×D13—21no—
1009C2×D13—21no—
1010C2×D13—21no—
1011C2×D13—21no—
1012C2×D13—21no—
1013C2×D13—21no—
1014C2×D13—21no—
1015C2×D13—44no—
1016C2×D13—41no—
1017C2×D13—41no—
1018C2×D13—41no—
1019C2×D13—41no—
1020C2×D13—41no—
1021C2×D13—41no—
1022C2×D13—82no—
1023C2×D13—84no—
1024C2×D13#54712yes—
1025C4×C13—21no—
1026C4×C13—21no—
1027C4×C13—21no—
1028C4×C13—21no—
1029C4×C13—41no—
1030C4×C13—41no—
1031C4×C13—41no—
1032C4×C13—41no—
1033C4×C13—41no—
1034C4×C13—41no—
1035C4×C13—41no—
1036C4×C13C22×#4111yescharacteristic
1037C4×C13C2×2−1+411yescharacteristic
1038Dic13—21no—
1039Dic13—21no—
1040Dic13—21no—
1041Dic13—21no—
1042Dic13—41no—
1043Dic13—41no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13—41no—
1048Dic13#54712yes—
1049C2×#41—131no—
1050C2×#41—261no—
1051C22×D4—131no—
1052C22×D4—131no—
1053C22×D4—261no—
1054C22×D4—261no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—261no—
1058C23×C4—261no—
1059AGL(1,ℤ/8)—264no—
1060C2×SD16—131no—
1061C2×SD16C22×D1311yescharacteristic
1062C2×D8—131no—
1063C2×D8—131no—
1064C2×M16—131no—
1065C2×M16—131no—
1066C2×M16—131no—
1067C2×M16—131no—
1068C2×M16—131no—
1069C2×M16—131no—
1070C2×M16—131no—
1071C2×M16—264no—
1072C2×M16—264no—
1073C2×M16C22×D1311yescharacteristic
1074C22×C8—131no—
1075C22×C8—131no—
1076C22×C8—131no—
1077C22×C8C22×D1311yescharacteristic
1078C4⋊Q8—131no—
1079C4⋊Q8C22×D1311yescharacteristic
1080#126—21no—
1081#126—261no—
1082#126—261no—
1083#126—261no—
1084#126—261no—
1085#126—261no—
1086#126—261no—
1087#126—261no—
1088#126—261no—
1089#126—261no—
1090#126—261no—
1091#126—261no—
1092#126—261no—
1093#126—261no—
1094#125—21no—
1095#125—131no—
1096#125—131no—
1097#125—131no—
1098#125—131no—
1099#125—131no—
1100#125—261no—
1101#125—261no—
1102#125—261no—
1103#125—261no—
1104#125C22×D1311yescharacteristic
1105#124—261no—
1106#124—261no—
1107#124—261no—
1108#123—21no—
1109#123—261no—
1110#123—261no—
1111#123—261no—
1112#123—261no—
1113#123—261no—
1114#123—261no—
1115#123—261no—
1116#123—261no—
1117#123—261no—
1118#123—261no—
1119#123—261no—
1120#123—261no—
1121#123—261no—
1122#123—261no—
1123#123—261no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—131no—
1127C22⋊Q8—131no—
1128C22⋊Q8—261no—
1129C22⋊Q8—261no—
1130C22⋊Q8—261no—
1131C22⋊Q8C22×D1311yescharacteristic
1132C22⋊Q8C22×D1311yescharacteristic
1133#121—21no—
1134#121—131no—
1135#121—131no—
1136#121—131no—
1137#121—131no—
1138#121—131no—
1139#121—131no—
1140#121—131no—
1141#121—131no—
1142#121—131no—
1143#121—131no—
1144#121—261no—
1145#121—261no—
1146#121—261no—
1147#121—261no—
1148#121—261no—
1149#121—261no—
1150#121—261no—
1151#121—261no—
1152#121—261no—
1153#121—261no—
1154#121—261no—
1155#121—261no—
1156#121—261no—
1157#121—261no—
1158#121C22×D1311yescharacteristic
1159#121C22×D1311yescharacteristic
1160#120—261no—
1161#120—261no—
1162C4×Q8—131no—
1163C4×Q8—261no—
1164C4×Q8—261no—
1165C4×Q8—261no—
1166C4×Q8C22×D1311yescharacteristic
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4—131no—
1170C4×D4—131no—
1171C4×D4—131no—
1172C4×D4—131no—
1173C4×D4—131no—
1174C4×D4—131no—
1175C4×D4—131no—
1176C4×D4—131no—
1177C4×D4—131no—
1178C4×D4—131no—
1179C4×D4—131no—
1180C4×D4—131no—
1181C4×D4—261no—
1182C4×D4—261no—
1183C4×D4—261no—
1184C4×D4—261no—
1185C4×D4—261no—
1186C4×D4—261no—
1187C4×D4—261no—
1188C4×D4—261no—
1189C4×D4—261no—
1190C4×D4—261no—
1191C4×D4—261no—
1192C4×D4—261no—
1193C4×D4—261no—
1194C4×D4—261no—
1195C4×D4—261no—
1196C4×D4—261no—
1197C4×D4—261no—
1198C4×D4C22×D1311yescharacteristic
1199C4×D4C22×D1311yescharacteristic
1200#117—131no—
1201#117—131no—
1202#117—131no—
1203#117—131no—
1204#117—131no—
1205#117—131no—
1206#117—131no—
1207#117—131no—
1208#117—131no—
1209#117—131no—
1210#117—261no—
1211#117—261no—
1212#117—261no—
1213#117—261no—
1214#117—261no—
1215#117—261no—
1216#117—261no—
1217#117—261no—
1218#117—261no—
1219#117—261no—
1220#117C22×D1311yescharacteristic
1221C2×C4⋊C4—131no—
1222C2×C4⋊C4—131no—
1223C2×C4⋊C4—131no—
1224C2×C4⋊C4—131no—
1225C2×C4⋊C4—131no—
1226C2×C4⋊C4—131no—
1227C2×C4⋊C4—131no—
1228C2×C4⋊C4—131no—
1229C2×C4⋊C4—131no—
1230C2×C4⋊C4—261no—
1231C2×C4⋊C4—261no—
1232C2×C4⋊C4—261no—
1233C2×C4⋊C4—261no—
1234C2×C4⋊C4—261no—
1235C2×C4⋊C4C22×D1311yescharacteristic
1236C2×C4⋊C4C22×D1311yescharacteristic
1237C2×C4⋊C4C22×D1311yescharacteristic
1238C2×C22⋊C4—131no—
1239C2×C22⋊C4—131no—
1240C2×C22⋊C4—261no—
1241C2×C22⋊C4—261no—
1242C2×C22⋊C4—261no—
1243C2×C22⋊C4—261no—
1244C2×C22⋊C4—261no—
1245C2×C22⋊C4—261no—
1246C2×C42—131no—
1247C2×C42—261no—
1248C2×C42—261no—
1249C2×C42—261no—
1250C2×C42—261no—
1251#107—131no—
1252#107—131no—
1253#107—131no—
1254#107—131no—
1255#107—131no—
1256#107—131no—
1257#107—131no—
1258#107—131no—
1259#107—131no—
1260#107—131no—
1261#107—131no—
1262#107—131no—
1263#107C22×D1311yescharacteristic
1264#107C22×D1311yescharacteristic
1265#107C22×D1311yescharacteristic
1266#107C22×D1311yescharacteristic
1267#107C22×D1311yescharacteristic
1268#107C22×D1311yescharacteristic
1269#106—131no—
1270#106—131no—
1271#106—131no—
1272#106—131no—
1273#106—131no—
1274#106—131no—
1275#106—131no—
1276#106—131no—
1277#106—131no—
1278#106—131no—
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106C22×D1311yescharacteristic
1285#106C22×D1311yescharacteristic
1286#106C22×D1311yescharacteristic
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8C22×D1311yescharacteristic
1291#103—131no—
1292#103—131no—
1293#103—131no—
1294#103C22×D1311yescharacteristic
1295#103C22×D1311yescharacteristic
1296#103C22×D1311yescharacteristic
1297#102—131no—
1298#102—131no—
1299#102—131no—
1300#102—131no—
1301#102—131no—
1302#102—131no—
1303#102—131no—
1304#102—131no—
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102C22×D1311yescharacteristic
1313#102C22×D1311yescharacteristic
1314#102C22×D1311yescharacteristic
1315C22⋊C8—131no—
1316C22⋊C8—131no—
1317C22⋊C8—131no—
1318C22⋊C8—131no—
1319C22⋊C8—131no—
1320C22⋊C8—131no—
1321C22⋊C8C22×D1311yescharacteristic
1322C22⋊C8C22×D1311yescharacteristic
1323#97—131no—
1324#97C22×D1311yescharacteristic
1325C4×C8—131no—
1326C4×C8—131no—
1327C2×C13—22no—
1328C2×C13—41no—
1329C2×C13—81no—
1330C2×C13C2×#54711yescharacteristic
1331C2×C13C2×#57511yescharacteristic
1332C2×C13#358511yescharacteristic
1333D13—22no—
1334D13—41no—
1335D13—41no—
1336D13—81no—
1337D13—81no—
1338C24—131no—
1339C24—131no—
1340C24—261no—
1341#41—262no—
1342#41—262no—
1343#41—524no—
1344C2×Q8—21no—
1345C2×Q8—261no—
1346C2×Q8C23×D1311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—131no—
1350C2×D4—131no—
1351C2×D4—131no—
1352C2×D4—131no—
1353C2×D4—131no—
1354C2×D4—261no—
1355C2×D4—261no—
1356C2×D4—261no—
1357C2×D4—261no—
1358C2×D4—261no—
1359C2×D4—262no—
1360C2×D4—262no—
1361C2×D4—261no—
1362C2×D4—261no—
1363C2×D4—261no—
1364C2×D4—261no—
1365C2×D4—261no—
1366C2×D4—261no—
1367C2×D4—261no—
1368C2×D4—522no—
1369C2×D4—524no—
1370C2×D4—1042no—
1371C2×D4D4×D1311yescharacteristic
1372C2×D4C23×D1311yescharacteristic
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—131no—
1378C22×C4—131no—
1379C22×C4—131no—
1380C22×C4—131no—
1381C22×C4—131no—
1382C22×C4—131no—
1383C22×C4—131no—
1384C22×C4—131no—
1385C22×C4—131no—
1386C22×C4—131no—
1387C22×C4—131no—
1388C22×C4—262no—
1389C22×C4—262no—
1390C22×C4—262no—
1391C22×C4—262no—
1392C22×C4—261no—
1393C22×C4—261no—
1394C22×C4—261no—
1395C22×C4—261no—
1396C22×C4—261no—
1397C22×C4—261no—
1398C22×C4—261no—
1399C22×C4—261no—
1400C22×C4—261no—
1401C22×C4—261no—
1402C22×C4—261no—
1403C22×C4—261no—
1404C22×C4—261no—
1405C22×C4—261no—
1406C22×C4—1042no—
1407C22×C4—1042no—
1408C22×C4C23×D1311yescharacteristic
1409C22×C4C23×D1311yescharacteristic
1410SD16—22no—
1411SD16—262no—
1412D8—262no—
1413D8—262no—
1414M16—22no—
1415M16—134no—
1416M16—262no—
1417M16—262no—
1418M16—262no—
1419M16—262no—
1420M16—262no—
1421M16—262no—
1422C2×C8—22no—
1423C2×C8—131no—
1424C2×C8—131no—
1425C2×C8—131no—
1426C2×C8—131no—
1427C2×C8—262no—
1428C2×C8—262no—
1429C2×C8—262no—
1430C2×C8C23×D1311yescharacteristic
1431C2×C8C23×D1311yescharacteristic
1432C2×C8C23×D1311yescharacteristic
1433C2×C8C23×D1311yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—131no—
1444C4⋊C4—131no—
1445C4⋊C4—131no—
1446C4⋊C4—131no—
1447C4⋊C4—131no—
1448C4⋊C4—131no—
1449C4⋊C4—131no—
1450C4⋊C4—131no—
1451C4⋊C4—131no—
1452C4⋊C4—261no—
1453C4⋊C4—261no—
1454C4⋊C4—261no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4—261no—
1466C4⋊C4—261no—
1467C4⋊C4—261no—
1468C4⋊C4—261no—
1469C4⋊C4—261no—
1470C4⋊C4—261no—
1471C4⋊C4—261no—
1472C4⋊C4—261no—
1473C4⋊C4—261no—
1474C4⋊C4D4×D1311yescharacteristic
1475C4⋊C4C23×D1311yescharacteristic
1476C4⋊C4C23×D1311yescharacteristic
1477C4⋊C4C23×D1311yescharacteristic
1478C4⋊C4C23×D1311yescharacteristic
1479C4⋊C4C23×D1311yescharacteristic
1480C4⋊C4C23×D1311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—131no—
1488C22⋊C4—131no—
1489C22⋊C4—131no—
1490C22⋊C4—131no—
1491C22⋊C4—131no—
1492C22⋊C4—131no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4—261no—
1496C22⋊C4—261no—
1497C22⋊C4—261no—
1498C22⋊C4—261no—
1499C22⋊C4—261no—
1500C22⋊C4—261no—
1501C22⋊C4—261no—
1502C22⋊C4—261no—
1503C22⋊C4—261no—
1504C22⋊C4—261no—
1505C22⋊C4—261no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4—261no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4D4×D1311yescharacteristic
1521C22⋊C4D4×D1311yescharacteristic
1522C42—21no—
1523C42—21no—
1524C42—131no—
1525C42—131no—
1526C42—131no—
1527C42—261no—
1528C42—261no—
1529C42—261no—
1530C42—261no—
1531C42—261no—
1532C42—261no—
1533C42—261no—
1534C42—261no—
1535C42—261no—
1536C42—261no—
1537C42—261no—
1538C42C23×D1311yescharacteristic
1539C13#6125511yescharacteristic, complemented, Sylow
1540C23—21no—
1541C23—131no—
1542C23—131no—
1543C23—131no—
1544C23—262no—
1545C23—262no—
1546C23—262no—
1547C23—261no—
1548C23—261no—
1549C23—521no—
1550C23—521no—
1551C23—521no—
1552C23—522no—
1553C23—522no—
1554C23—522no—
1555C23C2×D4×D1311yescharacteristic
1556C23C2×D4×D1311yescharacteristic
1557Q8—21no—
1558Q8—21no—
1559Q8—81no—
1560Q8—522no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—42no—
1565D4—81no—
1566D4—262no—
1567D4—261no—
1568D4—261no—
1569D4—261no—
1570D4—261no—
1571D4—521no—
1572D4—522no—
1573D4—522no—
1574D4—522no—
1575D4—521no—
1576D4—522no—
1577D4—522no—
1578D4—522no—
1579D4—522no—
1580D4—1041no—
1581D4—1041no—
1582D4—1041no—
1583D4—1041no—
1584D4—1041no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—131no—
1601C2×C4—132no—
1602C2×C4—132no—
1603C2×C4—131no—
1604C2×C4—131no—
1605C2×C4—131no—
1606C2×C4—131no—
1607C2×C4—262no—
1608C2×C4—262no—
1609C2×C4—262no—
1610C2×C4—262no—
1611C2×C4—262no—
1612C2×C4—262no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—521no—
1624C2×C4—521no—
1625C2×C4—522no—
1626C2×C4—522no—
1627C2×C4—522no—
1628C2×C4—522no—
1629C2×C4—522no—
1630C2×C4—522no—
1631C2×C4—522no—
1632C2×C4—1041no—
1633C2×C4—1041no—
1634C2×C4—1041no—
1635C2×C4—1041no—
1636C2×C4—1041no—
1637C2×C4—1041no—
1638C2×C4—1041no—
1639C2×C4C2×D4×D1311yescharacteristic
1640C2×C4C2×D4×D1311yescharacteristic
1641C2×C4C2×D4×D1311yescharacteristic
1642C2×C4C2×D4×D1311yescharacteristic
1643C2×C4C24×D1311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—132no—
1648C8—261no—
1649C8—261no—
1650C8—261no—
1651C8#41×D1312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—132no—
1661C22—261no—
1662C22—261no—
1663C22—261no—
1664C22—261no—
1665C22—261no—
1666C22—261no—
1667C22—261no—
1668C22—261no—
1669C22—524no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—1042no—
1677C22—1044no—
1678C22#1171948212yes—
1679C22C22×D4×D1311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—132no—
1692C4—261no—
1693C4—261no—
1694C4—261no—
1695C4—261no—
1696C4—521no—
1697C4—521no—
1698C4—521no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4C2×#41×D1311yescharacteristic
1703C4D13×2−1+411yescharacteristic
1704C2—22no—
1705C2—41no—
1706C2—81no—
1707C2—262no—
1708C2—521no—
1709C2—521no—
1710C2—1041no—
1711C2—1041no—
1712C2D13×#54711yescharacteristic
1713C2C2×#1171948211yescharacteristic
1714C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3346C2
socleC22×C13C23×D4
hypercenter#3346D13
hypocenterC13#61255
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #13128402C2semidirect
2. D13×#553C2semidirect
3. #13127442C2semidirect
4. #13127438C2semidirect
5. #13127402C2semidirect
6. #13127394C2semidirect
7. #13127386C2semidirect
8. #13127378C2semidirect
9. #13127343C2semidirect
10. #13127335C2semidirect
11. #13127315C2semidirect
12. #13127308C2semidirect
13. #13127300C2semidirect
14. #13127236C2semidirect
15. #13127234C2semidirect
16. #13127221C2semidirect
17. #13127213C2semidirect
18. #13125387C2semidirect
19. #13124773C2semidirect
20. #13124771C2semidirect
21. #13124768C2semidirect
22. #13124763C2semidirect
23. #13124655C2semidirect
24. #13124628C2semidirect
25. #13124450C2semidirect
26. #13124448C2semidirect
27. #13123641C2semidirect
28. #13123569C2semidirect
29. #13123423C2semidirect
30. C2×#11718542C2semidirect
31. C13×#3346C2semidirect
32. C13×#554C22semidirect
37. #11719439C22semidirect
47. #11719347C22semidirect
48. #11719347C22semidirect
61. #11719289C22semidirect
65. #11719260C22semidirect
75. #11719219C22semidirect
76. #11719219C22semidirect
80. C13×#501C22semidirect
81. C13×#485C22semidirect
82. C13×#484C22semidirect
83. C13×#481C22semidirect
84. C13×#480C22semidirect
85. C13×#479C22semidirect
86. C13×#474C22semidirect
87. C13×#468C22semidirect
88. C13×#465C22semidirect
89. C13×#440C22semidirect
90. C13×#435C22semidirect
91. C13×#428C22semidirect
92. C2×C13×#107C22semidirect
93. #11718835C22semidirect
94. #11718832C22semidirect
95. SD16×Dic13C22semidirect
96. #11718796C22semidirect
97. #11718789C22semidirect
98. #11718782C22semidirect
99. #11718776C22semidirect
100. C8×C22⋊D13C22semidirect
101. C2×#88057C22semidirect
102. #11718748C22semidirect
103. #11718741C22semidirect
104. #11718727C22semidirect
105. #11718726C22semidirect
106. #11718710C22semidirect
107. #11718709C22semidirect
108. #11718706C22semidirect
109. #11718705C22semidirect
110. #11718700C22semidirect
111. #11718699C22semidirect
112. #11718695C22semidirect
113. #11718694C22semidirect
114. #11718687C22semidirect
115. #11718683C22semidirect
116. #11718675C22semidirect
117. #11718672C22semidirect
118. #11718669C22semidirect
119. #11718664C22semidirect
120. #11718656C22semidirect
121. #11718629C22semidirect
122. #11718629C22semidirect
123. #11718628C22semidirect
124. #11718625C22semidirect
125. C2×#88048C22semidirect
126. C2×#88047C22semidirect
127. #11718552C22semidirect
128. #11718552C22semidirect
129. #11718552C22semidirect
130. #11718546C22semidirect
131. #11718546C22semidirect
132. #11718546C22semidirect
133. #11718544C22semidirect
134. #11718543C22semidirect
135. #11718543C22semidirect
142. #11718542C22semidirect
143. #11718542C22semidirect
144. #11718542C22semidirect
145. #11718542C22semidirect
146. #11718541C22semidirect
147. #11718541C22semidirect
148. #11718539C22semidirect
149. #11718539C22semidirect
150. #11718533C22semidirect
151. #11718532C22semidirect
152. #11718527C22semidirect
153. #11718527C22semidirect
154. #11718527C22semidirect
155. #11718526C22semidirect
159. #11718521C22semidirect
160. #11718521C22semidirect
161. #11718519C22semidirect
162. #11718519C22semidirect
163. #11718508C22semidirect
164. #11718503C22semidirect
166. #11718497C22semidirect
167. #11718476C22semidirect
168. #11718475C22semidirect
169. #11718473C22semidirect
170. #11718468C22semidirect
171. #11718466C22semidirect
172. #11718466C22semidirect
176. #11718460C22semidirect
177. #11718457C22semidirect
178. #11718449C22semidirect
179. #11718445C22semidirect
180. #11718445C22semidirect
181. #11718443C22semidirect
182. #11718440C22semidirect
183. #11718440C22semidirect
184. #11718436C22semidirect
188. #11718424C22semidirect
189. #11718424C22semidirect
190. #11718417C22semidirect
191. #11718398C22semidirect
192. #11718397C22semidirect
193. #11718396C22semidirect
194. #11718396C22semidirect
195. #11718390C22semidirect
198. #11718386C22semidirect
199. #11718372C22semidirect
201. #11718367C22semidirect
202. #11718363C22semidirect
680. #6094#41semidirect
694. #3346D13semidirect
831. #554C2×D13semidirect
877. #501C2×D13semidirect
885. #485C2×D13semidirect
887. #484C2×D13semidirect
907. #481C2×D13semidirect
913. #480C2×D13semidirect
917. #479C2×D13semidirect
929. #474C2×D13semidirect
937. #468C2×D13semidirect
945. #465C2×D13semidirect
949. #440C2×D13semidirect
959. #435C2×D13semidirect
978. #428C2×D13semidirect
984. C2×#107C2×D13semidirect
1539. C13#61255semidirect

Maximal subgroups

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

subgroupindex
#131284022
D13×#5532
#131274422
#131274382
#131274022
#131273942
#131273862
#131273782
#131273432
#131273352
#131273152
#131273082
#131273002
#131272362
#131272342
#131272212
#131272132
#131253872
#131247732
#131247712
#131247682
#131247632
#131246552
#131246282
#131244502
#131244482
#131236412
#131235692
#131234232
C2×#117185422
C13×#33462
#6125513