Finite Group Databasebeta

← #16741774

Subgroups — #16741774

Order 3328.

1892 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#13128395C211yesmaximal, characteristic, complemented
2D13×#555C211yesmaximal, characteristic, complemented
3#13127458C211yesmaximal, characteristic, complemented
4#13127455C211yesmaximal, characteristic, complemented
5#13127429C211yesmaximal, characteristic, complemented
6#13127426C211yesmaximal, characteristic, complemented
7#13127353C211yesmaximal, characteristic, complemented
8#13127351C211yesmaximal, characteristic, complemented
9#13127350C211yesmaximal, characteristic, complemented
10#13127348C211yesmaximal, characteristic, complemented
11#13127343C211yesmaximal, characteristic, complemented
12#13127341C211yesmaximal, characteristic, complemented
13#13127330C211yesmaximal, characteristic, complemented
14#13127255C211yesmaximal, characteristic, complemented
15#13127253C211yesmaximal, characteristic, complemented
16#13127247C211yesmaximal, characteristic, complemented
17#13127245C211yesmaximal, characteristic, complemented
18#13125381C211yesmaximal, characteristic, complemented
19#13124775C211yesmaximal, characteristic, complemented
20#13124771C211yesmaximal, characteristic, complemented
21#13124764C211yesmaximal, characteristic, complemented
22#13124764C211yesmaximal, characteristic, complemented
23#13124644C211yesmaximal, characteristic, complemented
24#13124631C211yesmaximal, characteristic, complemented
25#13124454C211yesmaximal, characteristic, complemented
26#13124452C211yesmaximal, characteristic, complemented
27#13123647C211yesmaximal, characteristic, complemented
28#13123569C211yesmaximal, characteristic, complemented
29#13123424C211yesmaximal, characteristic, complemented
30#13123423C211yesmaximal, characteristic, complemented
31C13×#3347C211yesmaximal, characteristic, complemented
32C13×#555C2211yescharacteristic
33C13×#553C2211yescharacteristic, complemented
34C2×#88165C2211yescharacteristic
35C2×M16×D13C2211yescharacteristic
36C22×#6094C2211yescharacteristic
37#11719439C2211yescharacteristic
38D13×C4⋊Q8C2211yescharacteristic
39#11719413—21no—
40#11719411—21no—
41#11719399C2211yescharacteristic, complemented
42#11719393C2211yescharacteristic
43D13×#124—21no—
44D13×#124—21no—
45#11719375—21no—
46#11719375—21no—
47#11719364—21no—
48#11719354—21no—
49#11719321—21no—
50#11719321C2211yescharacteristic
51#11719321C2211yescharacteristic
52#11719321C2211yescharacteristic, complemented
53#11719316C2211yescharacteristic, complemented
54#11719315—21no—
55#11719311C2211yescharacteristic
56#11719311C2211yescharacteristic
57D13×#121—21no—
58D13×#121C2211yescharacteristic
59D13×#121C2211yescharacteristic
60#11719305—21no—
61#11719268C2211yescharacteristic
62#11719268C2211yescharacteristic
63#11719263C2211yescharacteristic, complemented
64#11719261—21no—
65C4×D4×D13C2211yescharacteristic
66C4×D4×D13C2211yescharacteristic
67#11719246C2211yescharacteristic, complemented
68C4×#6129—21no—
69C4×#6129C2211yescharacteristic
70#11719238C2211yescharacteristic, complemented
71#11719237—21no—
72#11719237C2211yescharacteristic
73#11719237C2211yescharacteristic
74D13×#117—21no—
75D13×#117C2211yescharacteristic
76D13×#117C2211yescharacteristic
77D13×#117C2211yescharacteristic
78#11719216C2211yescharacteristic, complemented
79C2×#88146C2211yescharacteristic
80C13×#501C2211yescharacteristic, complemented
81C13×#482C2211yescharacteristic, complemented
82C13×#482C2211yescharacteristic, complemented
83C13×#482C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#474C2211yescharacteristic, complemented
87C13×#469C2211yescharacteristic, complemented
88C13×#466C2211yescharacteristic, complemented
89C13×#442C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic, complemented
91C13×#428C2211yescharacteristic, complemented
92C13×#427C2211yescharacteristic, complemented
93#11718820C2211yescharacteristic, complemented
94#11718818C2211yescharacteristic, complemented
95D8×Dic13C2211yescharacteristic, complemented
96#11718795C2211yescharacteristic, complemented
97#11718789C2211yescharacteristic, complemented
98#11718782C2211yescharacteristic, complemented
99#11718775C2211yescharacteristic, complemented
100C8×C22⋊D13C2211yescharacteristic, complemented
101#11718767C2211yescharacteristic, complemented
102#11718755C2211yescharacteristic, complemented
103#11718741C2211yescharacteristic, complemented
104#11718727C2211yescharacteristic, complemented
105#11718726C2211yescharacteristic, complemented
106#11718703C2211yescharacteristic, complemented
107#11718702C2211yescharacteristic, complemented
108#11718700C2211yescharacteristic, complemented
109#11718699C2211yescharacteristic, complemented
110#11718696C2211yescharacteristic, complemented
111#11718696C2211yescharacteristic, complemented
112#11718696C2211yescharacteristic, complemented
113#11718695C2211yescharacteristic, complemented
114#11718679C2211yescharacteristic, complemented
115#11718675C2211yescharacteristic, complemented
116#11718672C2211yescharacteristic, complemented
117#11718670C2211yescharacteristic, complemented
118#11718668C2211yescharacteristic, complemented
119#11718664C2211yescharacteristic, complemented
120#11718659C2211yescharacteristic, complemented
121#11718659C2211yescharacteristic, complemented
122#11718657C2211yescharacteristic, complemented
123#11718657C2211yescharacteristic, complemented
124#11718656C2211yescharacteristic, complemented
125#11718628C2211yescharacteristic, complemented
126#11718625C2211yescharacteristic, complemented
127#11718551C2211yescharacteristic, complemented
128#11718549C2211yescharacteristic, complemented
129#11718549C2211yescharacteristic, complemented
130#11718547C2211yescharacteristic, complemented
131#11718546C2211yescharacteristic, complemented
132#11718546C2211yescharacteristic, complemented
133#11718543C2211yescharacteristic, complemented
134#11718542C2211yescharacteristic
135#11718542C2211yescharacteristic
136#11718542C2211yescharacteristic
137#11718542C2211yescharacteristic
138#11718542C2211yescharacteristic
139#11718542C2211yescharacteristic, complemented
140#11718542C2211yescharacteristic, complemented
141#11718541C2211yescharacteristic, complemented
142#11718541C2211yescharacteristic, complemented
143#11718536C2211yescharacteristic, complemented
144#11718536C2211yescharacteristic, complemented
145#11718535C2211yescharacteristic, complemented
146#11718535C2211yescharacteristic, complemented
147#11718531C2211yescharacteristic, complemented
148#11718528C2211yescharacteristic, complemented
149#11718528C2211yescharacteristic, complemented
150#11718525C2211yescharacteristic, complemented
151#11718524C2211yescharacteristic, complemented
152#11718522C2211yescharacteristic
153#11718522C2211yescharacteristic
154#11718522C2211yescharacteristic
155#11718522C2211yescharacteristic
156#11718522C2211yescharacteristic, complemented
157#11718522C2211yescharacteristic, complemented
158#11718521C2211yescharacteristic, complemented
159#11718521C2211yescharacteristic, complemented
160#11718516C2211yescharacteristic, complemented
161#11718516C2211yescharacteristic, complemented
162#11718513C2211yescharacteristic, complemented
163#11718512C2211yescharacteristic, complemented
164#11718508C2211yescharacteristic, complemented
165#11718498C2211yescharacteristic
166#11718497C2211yescharacteristic, complemented
167#11718445C2211yescharacteristic, complemented
168#11718445C2211yescharacteristic, complemented
169#11718443C2211yescharacteristic, complemented
170#11718441C2211yescharacteristic, complemented
171#11718440C2211yescharacteristic, complemented
172#11718440C2211yescharacteristic, complemented
173#11718440C2211yescharacteristic, complemented
174#11718440C2211yescharacteristic, complemented
175#11718439C2211yescharacteristic, complemented
176#11718438C2211yescharacteristic, complemented
177#11718436C2211yescharacteristic, complemented
178#11718435C2211yescharacteristic, complemented
179#11718432C2211yescharacteristic
180#11718432C2211yescharacteristic
181#11718432C2211yescharacteristic
182#11718431C2211yescharacteristic
183#11718431C2211yescharacteristic
184#11718431C2211yescharacteristic
185#11718422C2211yescharacteristic, complemented
186#11718422C2211yescharacteristic, complemented
187#11718422C2211yescharacteristic, complemented
188#11718420C2211yescharacteristic, complemented
189#11718419C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718396C2211yescharacteristic, complemented
193#11718390C2211yescharacteristic, complemented
194#11718387C2211yescharacteristic
195#11718387C2211yescharacteristic
196#11718386C2211yescharacteristic, complemented
197#11718384C2211yescharacteristic, complemented
198#11718384C2211yescharacteristic, complemented
199#11718371C2211yescharacteristic, complemented
200#11718368C2211yescharacteristic
201#11718367C2211yescharacteristic, complemented
202#11718363C2211yescharacteristic, complemented
203C2×Q8×D13—21no—
204C2×#6129—21no—
205C2×#6129C2311yescharacteristic
206C2×D4×D13—21no—
207C2×D4×D13—21no—
208C2×D4×D13D411yescharacteristic
209C2×D4×D13C2311yescharacteristic
210C22×C4×D13—21no—
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C2×C13×D8C2311yescharacteristic
214C2×C13×M16C2311yescharacteristic
215C22×C8×C13C2311yescharacteristic
216C13×C4⋊Q8C2311yescharacteristic
217C13×#126—21no—
218C13×#125C2311yescharacteristic
219C13×#124—21no—
220C13×#124—21no—
221C13×#123—21no—
222C13×#121—21no—
223C13×#121—21no—
224C13×#121C2311yescharacteristic
225C13×#121C2311yescharacteristic
226C13×#121C2311yescharacteristic
227C13×#121C2311yescharacteristic
228C4×D4×C13—21no—
229C4×D4×C13C2311yescharacteristic
230C4×D4×C13C2311yescharacteristic
231C4×D4×C13C2311yescharacteristic
232C13×#117—21no—
233C13×#117C2311yescharacteristic
234C13×#117C2311yescharacteristic
235C13×#117C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237#88201—21no—
238#88201—21no—
239#88198—21no—
240#88193—21no—
241#88193—21no—
242#88193—21no—
243#88193—21no—
244#88193—21no—
245#88192—21no—
246#88192C2311yescharacteristic
247#88192C2311yescharacteristic
248#88192C2311yescharacteristic
249#88192C2311yescharacteristic
250#88191—21no—
251#88191—21no—
252#88190—21no—
253#88190—21no—
254#88190—21no—
255#88189—21no—
256#88189—21no—
257D4×Dic13—21no—
258D4×Dic13—21no—
259D4×Dic13D411yescharacteristic
260D4×Dic13C2311yescharacteristic
261D4×Dic13C2311yescharacteristic
262C2×#6105C2311yescharacteristic
263C2×#6104C2311yescharacteristic
264#88184—21no—
265#88184C2311yescharacteristic
266#88184C2311yescharacteristic
267#88183—21no—
268C4×C22⋊D13—21no—
269C4×C22⋊D13—21no—
270C4×C22⋊D13—21no—
271C4×C22⋊D13—21no—
272C4×C22⋊D13C2311yescharacteristic
273C4×C22⋊D13C2311yescharacteristic
274C2×#6103—21no—
275#88180—21no—
276#88180C2311yescharacteristic
277#88180C2311yescharacteristic
278#88180C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280#88178—21no—
281#88178C2311yescharacteristic
282#88178C2311yescharacteristic
283C2×C4×Dic13—21no—
284C2×C4×Dic13—21no—
285C2×#6099C2311yescharacteristic
286C22×#1055C2311yescharacteristic
287#88165—24no—
288M16×D13—24no—
289C2×#6095C2311yescharacteristic
290C2×#6094—24no—
291C2×#6094C2311yescharacteristic
292C2×#6094C2311yescharacteristic
293C2×#6094C2311yescharacteristic
294C2×#6094C2311yescharacteristic
295C2×#6094C2311yescharacteristic
296C2×#6094C2311yescharacteristic
297C2×C8×D13C2311yescharacteristic
298C2×C8×D13C2311yescharacteristic
299#88152—21no—
300#88151C2311yescharacteristic
301#88151C2311yescharacteristic
302#88150—21no—
303#88150—21no—
304#88150—21no—
305#88149—21no—
306#88149C2311yescharacteristic
307#88149C2311yescharacteristic
308#88148—21no—
309#88147D411yescharacteristic
310#88147C2311yescharacteristic
311#88146—21no—
312#88146—21no—
313#88146—21no—
314#88146—21no—
315#88146—21no—
316#88146C2311yescharacteristic
317#88146C2311yescharacteristic
318#88146C2311yescharacteristic
319#88146C2311yescharacteristic
320#88146C2311yescharacteristic
321#88146C2311yescharacteristic
322#88146C2311yescharacteristic
323#88146C2311yescharacteristic
324#88146C2311yescharacteristic
325C4⋊C4×D13—21no—
326C4⋊C4×D13D411yescharacteristic
327C4⋊C4×D13C2311yescharacteristic
328C4⋊C4×D13C2311yescharacteristic
329C4⋊C4×D13C2311yescharacteristic
330C4⋊C4×D13C2311yescharacteristic
331C4⋊C4×D13C2311yescharacteristic
332#88144—21no—
333#88143—21no—
334#88143—21no—
335#88142—21no—
336#88142C2311yescharacteristic
337#88142C2311yescharacteristic
338#88142C2311yescharacteristic
339#88142C2311yescharacteristic
340#88141—21no—
341#88141—21no—
342#88141C2311yescharacteristic
343#88139—21no—
344#88139—21no—
345#88139—21no—
346#88139—21no—
347#88139—21no—
348#88139—21no—
349#88139—21no—
350#88139—21no—
351#88139—21no—
352#88139—21no—
353#88138—21no—
354#88138—21no—
355#88138—21no—
356#88138—21no—
357#88138—21no—
358#88137—21no—
359#88137—21no—
360#88137—21no—
361#88135—21no—
362#88135—21no—
363#88135—21no—
364#88135—21no—
365#88135D411yescharacteristic
366#88135D411yescharacteristic
367C22⋊C4×D13—21no—
368C22⋊C4×D13—21no—
369C22⋊C4×D13—21no—
370C22⋊C4×D13—21no—
371C22⋊C4×D13—21no—
372C22⋊C4×D13—21no—
373C22⋊C4×D13D411yescharacteristic
374C22⋊C4×D13D411yescharacteristic
375#88133—21no—
376#88133—21no—
377#88133—21no—
378#88132—21no—
379#88131—21no—
380#88131—21no—
381#88131—21no—
382#88131—21no—
383#88131—21no—
384#88131—21no—
385#88131—21no—
386#88131—21no—
387#88130—21no—
388#88129—21no—
389#88129—21no—
390C4×D52C2311yescharacteristic
391C4×D52C2311yescharacteristic
392#88126—21no—
393#88126—21no—
394#88126—21no—
395#88126—21no—
396#88126—21no—
397C42×D13—21no—
398C42×D13—21no—
399C42×D13—21no—
400C42×D13C2311yescharacteristic
401#88124C2311yescharacteristic
402#88123C2311yescharacteristic
403C4×Dic26—21no—
404C4×Dic26C2311yescharacteristic
405C13×#107C2311yescharacteristic
406C13×#107C2311yescharacteristic
407C13×#107C2311yescharacteristic
408C13×#107C2311yescharacteristic
409C13×#107C2311yescharacteristic
410C13×#106C2311yescharacteristic
411C13×#106C2311yescharacteristic
412C13×#106C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×#102C2311yescharacteristic
416C13×#102C2311yescharacteristic
417C13×#102C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×C22⋊C8C2311yescharacteristic
422C13×C22⋊C8C2311yescharacteristic
423C13×#97C2311yescharacteristic
424#88072C2311yescharacteristic
425#88072C2311yescharacteristic
426#88072C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432#88061C2311yescharacteristic
433#88061C2311yescharacteristic
434#88061C2311yescharacteristic
435#88060C2311yescharacteristic
436#88060C2311yescharacteristic
437#88060C2311yescharacteristic
438#88060C2311yescharacteristic
439#88058C2311yescharacteristic
440#88058C2311yescharacteristic
441#88058C2311yescharacteristic
442#88058C2311yescharacteristic
443#88057C2311yescharacteristic
444#88057C2311yescharacteristic
445#88057C2311yescharacteristic
446#88057C2311yescharacteristic
447#88057C2311yescharacteristic
448#88056C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88054C2311yescharacteristic
452#88054C2311yescharacteristic
453C8×Dic13C2311yescharacteristic
454C8×Dic13C2311yescharacteristic
455#88050C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
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#61256—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13C2×D411yescharacteristic
484C23×D13C2×D411yescharacteristic
485C2×Q8×C13—21no—
486C2×D4×C13—21no—
487C2×D4×C13—21no—
488C2×D4×C13—21no—
489C2×D4×C13—21no—
490C2×D4×C13C2×D411yescharacteristic
491C2×D4×C13C2411yescharacteristic
492C2×D4×C13C2411yescharacteristic
493C22×C4×C13—21no—
494C22×C4×C13—21no—
495C22×C4×C13—21no—
496C22×C4×C13C2411yescharacteristic
497C22×C4×C13C2411yescharacteristic
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⋊D13—21no—
505C2×C22⋊D13—21no—
506C2×C22⋊D13C2×D411yescharacteristic
507C2×C22⋊D13C2×D411yescharacteristic
508C22×Dic13—21no—
509C22×Dic13—21no—
510C22×Dic13—21no—
511C22×Dic13—21no—
512C22×Dic13C2×D411yescharacteristic
513C22×Dic13C2×D411yescharacteristic
514Q8×D13—82no—
515#6129—22no—
516#6129—22no—
517#6129—44no—
518D4×D13—22no—
519D4×D13—22no—
520D4×D13—42no—
521D4×D13—82no—
522D4×D13—82no—
523C2×D52—21no—
524C2×D52—21no—
525C2×D52C2×D411yescharacteristic
526C2×D52C2411yescharacteristic
527C2×C4×D13—22no—
528C2×C4×D13—22no—
529C2×C4×D13—22no—
530C2×C4×D13—22no—
531C2×C4×D13—21no—
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—44no—
539C2×C4×D13C2×D411yescharacteristic
540C2×C4×D13C2×D411yescharacteristic
541C2×C4×D13C2×D411yescharacteristic
542C2×C4×D13C2×D411yescharacteristic
543C2×C4×D13C2×D411yescharacteristic
544C2×C4×D13C2×D411yescharacteristic
545C2×C4×D13C2411yescharacteristic
546C2×C4×D13C2411yescharacteristic
547C2×C4×D13C2411yescharacteristic
548C2×Dic26—21no—
549C2×Dic26—21no—
550C2×Dic26—21no—
551C2×Dic26—21no—
552C2×Dic26—21no—
553C2×Dic26C2411yescharacteristic
554C13×D8—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⋊C4C2×D411yescharacteristic
566C13×C4⋊C4C2411yescharacteristic
567C13×C4⋊C4C2411yescharacteristic
568C13×C4⋊C4C2411yescharacteristic
569C13×C4⋊C4C2411yescharacteristic
570C13×C4⋊C4C2411yescharacteristic
571C13×C4⋊C4C2411yescharacteristic
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4—21no—
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4C2×D411yescharacteristic
582C13×C22⋊C4C2×D411yescharacteristic
583C42×C13—21no—
584C42×C13—21no—
585C42×C13—21no—
586C42×C13C2411yescharacteristic
587C22⋊Dic13—21no—
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13—21no—
591C22⋊Dic13—21no—
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13C2×D411yescharacteristic
599C22⋊Dic13C2×D411yescharacteristic
600#6105—22no—
601#6104—22no—
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⋊Dic13C2×D411yescharacteristic
628C4⋊Dic13C2411yescharacteristic
629C4⋊Dic13C2411yescharacteristic
630C4⋊Dic13C2411yescharacteristic
631C4⋊Dic13C2411yescharacteristic
632C4⋊Dic13C2411yescharacteristic
633C4⋊Dic13C2411yescharacteristic
634#6101—21no—
635#6101—21no—
636#6101—21no—
637#6101—21no—
638#6101—21no—
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#6101C2×D411yescharacteristic
650#6101C2×D411yescharacteristic
651C4×Dic13—21no—
652C4×Dic13—21no—
653C4×Dic13—21no—
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
674#6095—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×#555—131no—
685#3357—131no—
686#3357—131no—
687#3354—131no—
688#3354—131no—
689#3348—131no—
690#3348—131no—
691#3348—131no—
692#3348—131no—
693#3347—131no—
694#3347—131no—
695#3347—131no—
696#3347D1311yescharacteristic, complemented
697#3341—131no—
698#3341—131no—
699#3340—131no—
700#3340—131no—
701#3165—131no—
702#3094—131no—
703#3094—131no—
704#3093—131no—
705#3093—131no—
706#3079—131no—
707#3077—131no—
708#3055—131no—
709#3055—131no—
710C4×AGL(1,ℤ/8)—131no—
711D4×M16—131no—
712#2911—131no—
713#2911—131no—
714C23×C13—21no—
715C23×C13—21no—
716C23×C13C22×D411yescharacteristic
717C23×C13C22×D411yescharacteristic
718C22×D13—22no—
719C22×D13—22no—
720C22×D13—21no—
721C22×D13—41no—
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—81no—
732D4×C13—21no—
733D4×C13—21no—
734D4×C13—21no—
735D4×C13—21no—
736D4×C13—41no—
737D4×C13—42no—
738D4×C13—81no—
739D4×C13—81no—
740D4×C13—81no—
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—21no—
751C2×C4×C13—42no—
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—22no—
761C22⋊D13—42no—
762C22⋊D13—42no—
763C22⋊D13—42no—
764C22⋊D13—81no—
765C22⋊D13—81no—
766C22⋊D13—81no—
767C22⋊D13—81no—
768C22⋊D13—81no—
769C2×Dic13—22no—
770C2×Dic13—22no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—42no—
779C2×Dic13—42no—
780C2×Dic13—42no—
781C2×Dic13—42no—
782C2×Dic13C22×D411yescharacteristic
783C2×Dic13C22×D411yescharacteristic
784C2×Dic13C22×D411yescharacteristic
785C2×Dic13C22×D411yescharacteristic
786C2×Dic13C22×D411yescharacteristic
787D52—21no—
788D52—21no—
789D52—41no—
790D52—81no—
791D52—81no—
792C4×D13—22no—
793C4×D13—22no—
794C4×D13—21no—
795C4×D13—21no—
796C4×D13—21no—
797C4×D13—21no—
798C4×D13—22no—
799C4×D13—22no—
800C4×D13—22no—
801C4×D13—41no—
802C4×D13—42no—
803C4×D13—42no—
804C4×D13—42no—
805C4×D13—42no—
806C4×D13—42no—
807C4×D13—42no—
808C4×D13—81no—
809C4×D13C2×#4112yes—
810C4×D132−1+412yes—
811Dic26—21no—
812Dic26—21no—
813Dic26—42no—
814Dic26—81no—
815Dic26—81no—
816Dic26—81no—
817Dic26—81no—
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#555—131no—
832#555—131no—
833#555—131no—
834#555—131no—
835#555—131no—
836#555—131no—
837#555—131no—
838#555—261no—
839#555—261no—
840#555—261no—
841#555—261no—
842#555C2×D1311yescharacteristic
843#554—131no—
844#553—131no—
845#553C2×D1311yescharacteristic, complemented
846#552—131no—
847#552—131no—
848#552—261no—
849#551—261no—
850#551—261no—
851#547—131no—
852#546—261no—
853#533—131no—
854C2×C4⋊Q8—131no—
855#529—261no—
856#529—261no—
857#529—261no—
858C2×#124—261no—
859C2×#124—261no—
860#525—131no—
861#525—131no—
862C2×#121—131no—
863C2×#121—131no—
864C2×#121—261no—
865C4×#41—131no—
866C4×#41—261no—
867C2×C4×D4—131no—
868C2×C4×D4—131no—
869C2×#117—131no—
870C2×#117—131no—
871C2×#117—131no—
872C2×#117—131no—
873C2×#117—261no—
874#501—131no—
875#501—131no—
876#501—131no—
877#501C2×D1311yescharacteristic, complemented
878#500—131no—
879#500—131no—
880#498—131no—
881#498—131no—
882#485—131no—
883#485—131no—
884#485—131no—
885#485—131no—
886#485—131no—
887#485—131no—
888#485—131no—
889#485—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#482—131no—
903#482C2×D1311yescharacteristic, complemented
904#482C2×D1311yescharacteristic, complemented
905#482C2×D1311yescharacteristic, complemented
906#481—131no—
907#481—131no—
908#481—131no—
909#481—131no—
910#480—131no—
911#480—131no—
912#480—131no—
913#480C2×D1311yescharacteristic, complemented
914#478—131no—
915#478—131no—
916#478—131no—
917#478C2×D1311yescharacteristic, complemented
918#477—131no—
919#477—131no—
920#476—131no—
921#476—131no—
922#476—131no—
923#476—131no—
924#475—131no—
925#475—131no—
926#474—131no—
927#474—131no—
928#474—131no—
929#474C2×D1311yescharacteristic, complemented
930#469—131no—
931#469—131no—
932#469—131no—
933#469C2×D1311yescharacteristic, complemented
934#468—131no—
935#468—131no—
936#468—131no—
937#468—131no—
938#466—131no—
939#466—131no—
940#466—131no—
941#466C2×D1311yescharacteristic, complemented
942#465—131no—
943#465—131no—
944#465—131no—
945#465—131no—
946#442—131no—
947#442C2×D1311yescharacteristic, complemented
948#440—131no—
949#440—131no—
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—
983#427—131no—
984#427—131no—
985#427—131no—
986#427C2×D1311yescharacteristic, complemented
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—21no—
1003C22×C13—41no—
1004C22×C13—41no—
1005C22×C13—41no—
1006C22×C13—41no—
1007C22×C13—41no—
1008C22×C13—41no—
1009C22×C13C23×D411yescharacteristic
1010C2×D13—21no—
1011C2×D13—21no—
1012C2×D13—21no—
1013C2×D13—21no—
1014C2×D13—21no—
1015C2×D13—21no—
1016C2×D13—21no—
1017C2×D13—21no—
1018C2×D13—41no—
1019C2×D13—41no—
1020C2×D13—41no—
1021C2×D13—82no—
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×C13C22×#4111yescharacteristic
1036C4×C13C2×2−1+411yescharacteristic
1037Dic13—21no—
1038Dic13—21no—
1039Dic13—21no—
1040Dic13—41no—
1041Dic13—41no—
1042Dic13—41no—
1043Dic13—41no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13#54712yes—
1048Dic13#57512yes—
1049C2×#41—131no—
1050C2×#41—261no—
1051C22×Q8—261no—
1052C22×D4—131no—
1053C22×D4—131no—
1054C22×D4—261no—
1055C22×D4—261no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—261no—
1059AGL(1,ℤ/8)—264no—
1060C2×SD16—131no—
1061C2×SD16—131no—
1062C2×D8—131no—
1063C2×D8C22×D1311yescharacteristic
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⋊Q8—131no—
1080C4⋊Q8—131no—
1081C4⋊Q8—131no—
1082C4⋊Q8—131no—
1083C4⋊Q8—261no—
1084C4⋊Q8—261no—
1085C4⋊Q8C22×D1311yescharacteristic
1086#126—21no—
1087#126—261no—
1088#126—261no—
1089#126—261no—
1090#126—261no—
1091#126—261no—
1092#125—131no—
1093#125—261no—
1094#125—261no—
1095#125—261no—
1096#125C22×D1311yescharacteristic
1097#124—21no—
1098#124—21no—
1099#124—261no—
1100#124—261no—
1101#124—261no—
1102#124—261no—
1103#124—261no—
1104#124—261no—
1105#124—261no—
1106#124—261no—
1107#124—261no—
1108#124—261no—
1109#124—261no—
1110#124—261no—
1111#124—261no—
1112#124—261no—
1113#124—261no—
1114#124—261no—
1115#124—261no—
1116#123—21no—
1117#123—261no—
1118#123—261no—
1119#123—261no—
1120#123—261no—
1121#123—261no—
1122#123—261no—
1123#123—261no—
1124C22⋊Q8—131no—
1125C22⋊Q8—131no—
1126C22⋊Q8—131no—
1127C22⋊Q8—131no—
1128C22⋊Q8—261no—
1129C22⋊Q8—261no—
1130C22⋊Q8—261no—
1131C22⋊Q8—261no—
1132C22⋊Q8—261no—
1133#121—21no—
1134#121—21no—
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—261no—
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#121C22×D1311yescharacteristic
1157#121C22×D1311yescharacteristic
1158#121C22×D1311yescharacteristic
1159#121C22×D1311yescharacteristic
1160#120—261no—
1161#120—261no—
1162C4×Q8—131no—
1163C4×Q8—131no—
1164C4×Q8—261no—
1165C4×Q8—261no—
1166C4×Q8—261no—
1167C4×D4—21no—
1168C4×D4—131no—
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—261no—
1180C4×D4—261no—
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×D4C22×D1311yescharacteristic
1190C4×D4C22×D1311yescharacteristic
1191C4×D4C22×D1311yescharacteristic
1192#117—21no—
1193#117—131no—
1194#117—131no—
1195#117—131no—
1196#117—131no—
1197#117—131no—
1198#117—131no—
1199#117—131no—
1200#117—131no—
1201#117—131no—
1202#117—131no—
1203#117—131no—
1204#117—131no—
1205#117—261no—
1206#117—261no—
1207#117—261no—
1208#117—261no—
1209#117—261no—
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#117—261no—
1221#117—261no—
1222#117—261no—
1223#117—261no—
1224#117C22×D1311yescharacteristic
1225#117C22×D1311yescharacteristic
1226#117C22×D1311yescharacteristic
1227C2×C4⋊C4—131no—
1228C2×C4⋊C4—131no—
1229C2×C4⋊C4—131no—
1230C2×C4⋊C4—131no—
1231C2×C4⋊C4—131no—
1232C2×C4⋊C4—131no—
1233C2×C4⋊C4—131no—
1234C2×C4⋊C4—261no—
1235C2×C4⋊C4C22×D1311yescharacteristic
1236C2×C22⋊C4—131no—
1237C2×C22⋊C4—131no—
1238C2×C22⋊C4—261no—
1239C2×C22⋊C4—261no—
1240C2×C22⋊C4—261no—
1241C2×C22⋊C4—261no—
1242C2×C22⋊C4—261no—
1243C2×C22⋊C4—261no—
1244C2×C22⋊C4—261no—
1245C2×C42—131no—
1246C2×C42—261no—
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#107—131no—
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#106C22×D1311yescharacteristic
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#103—131no—
1295#103—131no—
1296#103—131no—
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#102C22×D1311yescharacteristic
1310#102C22×D1311yescharacteristic
1311#102C22×D1311yescharacteristic
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—41no—
1328C2×C13—41no—
1329C2×C13—81no—
1330C2×C13—81no—
1331C2×C13C2×#54711yescharacteristic
1332C2×C13C2×#57511yescharacteristic
1333C2×C13#358511yescharacteristic
1334D13—22no—
1335D13—41no—
1336D13—41no—
1337D13—81no—
1338C24—131no—
1339C24—131no—
1340C24—261no—
1341#41—262no—
1342#41—262no—
1343#41—524no—
1344C2×Q8—21no—
1345C2×Q8—131no—
1346C2×Q8—261no—
1347C2×Q8—261no—
1348C2×Q8—261no—
1349C2×Q8—261no—
1350C2×Q8—261no—
1351C2×Q8—1042no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—131no—
1357C2×D4—131no—
1358C2×D4—131no—
1359C2×D4—131no—
1360C2×D4—261no—
1361C2×D4—261no—
1362C2×D4—262no—
1363C2×D4—262no—
1364C2×D4—261no—
1365C2×D4—261no—
1366C2×D4—261no—
1367C2×D4—261no—
1368C2×D4—261no—
1369C2×D4—261no—
1370C2×D4—261no—
1371C2×D4—261no—
1372C2×D4—522no—
1373C2×D4—1042no—
1374C2×D4—1042no—
1375C2×D4D4×D1311yescharacteristic
1376C2×D4C23×D1311yescharacteristic
1377C2×D4C23×D1311yescharacteristic
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—131no—
1382C22×C4—131no—
1383C22×C4—131no—
1384C22×C4—131no—
1385C22×C4—131no—
1386C22×C4—131no—
1387C22×C4—131no—
1388C22×C4—131no—
1389C22×C4—131no—
1390C22×C4—131no—
1391C22×C4—131no—
1392C22×C4—262no—
1393C22×C4—262no—
1394C22×C4—262no—
1395C22×C4—262no—
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—261no—
1407C22×C4—524no—
1408C22×C4C23×D1311yescharacteristic
1409C22×C4C23×D1311yescharacteristic
1410SD16—262no—
1411SD16—262no—
1412D8—22no—
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—131no—
1439C4⋊C4—131no—
1440C4⋊C4—131no—
1441C4⋊C4—131no—
1442C4⋊C4—131no—
1443C4⋊C4—131no—
1444C4⋊C4—131no—
1445C4⋊C4—131no—
1446C4⋊C4—131no—
1447C4⋊C4—261no—
1448C4⋊C4—261no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
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⋊C4D4×D1311yescharacteristic
1467C4⋊C4C23×D1311yescharacteristic
1468C4⋊C4C23×D1311yescharacteristic
1469C4⋊C4C23×D1311yescharacteristic
1470C4⋊C4C23×D1311yescharacteristic
1471C4⋊C4C23×D1311yescharacteristic
1472C4⋊C4C23×D1311yescharacteristic
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—131no—
1483C22⋊C4—131no—
1484C22⋊C4—131no—
1485C22⋊C4—131no—
1486C22⋊C4—131no—
1487C22⋊C4—131no—
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—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⋊C4D4×D1311yescharacteristic
1517C22⋊C4D4×D1311yescharacteristic
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—131no—
1522C42—131no—
1523C42—131no—
1524C42—261no—
1525C42—261no—
1526C42—261no—
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#6125611yescharacteristic, complemented, Sylow
1540C23—21no—
1541C23—21no—
1542C23—131no—
1543C23—131no—
1544C23—131no—
1545C23—262no—
1546C23—262no—
1547C23—261no—
1548C23—521no—
1549C23—521no—
1550C23—521no—
1551C23—521no—
1552C23—522no—
1553C23—522no—
1554C23—522no—
1555C23C2×D4×D1311yescharacteristic
1556C23C2×D4×D1311yescharacteristic
1557Q8—81no—
1558Q8—261no—
1559Q8—261no—
1560Q8—522no—
1561Q8—1041no—
1562Q8—1041no—
1563Q8—1041no—
1564Q8—1041no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—41no—
1570D4—42no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—262no—
1575D4—262no—
1576D4—261no—
1577D4—261no—
1578D4—521no—
1579D4—522no—
1580D4—522no—
1581D4—522no—
1582D4—1041no—
1583D4—1041no—
1584D4—1041no—
1585D4—1041no—
1586D4—1041no—
1587D4—1041no—
1588D4—1041no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—42no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—131no—
1603C2×C4—131no—
1604C2×C4—132no—
1605C2×C4—132no—
1606C2×C4—131no—
1607C2×C4—131no—
1608C2×C4—131no—
1609C2×C4—262no—
1610C2×C4—262no—
1611C2×C4—262no—
1612C2×C4—262no—
1613C2×C4—262no—
1614C2×C4—262no—
1615C2×C4—262no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—261no—
1624C2×C4—261no—
1625C2×C4—261no—
1626C2×C4—261no—
1627C2×C4—521no—
1628C2×C4—522no—
1629C2×C4—522no—
1630C2×C4—522no—
1631C2×C4—522no—
1632C2×C4—522no—
1633C2×C4—522no—
1634C2×C4—522no—
1635C2×C4—522no—
1636C2×C4—522no—
1637C2×C4—522no—
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—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—132no—
1665C22—261no—
1666C22—261no—
1667C22—261no—
1668C22—261no—
1669C22—261no—
1670C22—261no—
1671C22—261no—
1672C22—261no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—1042no—
1677C22—1042no—
1678C22—1044no—
1679C22C22×D4×D1311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—132no—
1691C4—132no—
1692C4—261no—
1693C4—261no—
1694C4—261no—
1695C4—521no—
1696C4—521no—
1697C4—521no—
1698C4—521no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4C2×#41×D1311yescharacteristic
1703C4D13×2−1+411yescharacteristic
1704C2—41no—
1705C2—41no—
1706C2—81no—
1707C2—81no—
1708C2—262no—
1709C2—521no—
1710C2—521no—
1711C2—1041no—
1712C2D13×#54711yescharacteristic
1713C2D13×#57511yescharacteristic
1714C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3347C2
socleC22×C13C23×D4
hypercenter#3347D13
hypocenterC13#61256
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #13128395C2semidirect
2. D13×#555C2semidirect
3. #13127458C2semidirect
4. #13127455C2semidirect
5. #13127429C2semidirect
6. #13127426C2semidirect
7. #13127353C2semidirect
8. #13127351C2semidirect
9. #13127350C2semidirect
10. #13127348C2semidirect
11. #13127343C2semidirect
12. #13127341C2semidirect
13. #13127330C2semidirect
14. #13127255C2semidirect
15. #13127253C2semidirect
16. #13127247C2semidirect
17. #13127245C2semidirect
18. #13125381C2semidirect
19. #13124775C2semidirect
20. #13124771C2semidirect
21. #13124764C2semidirect
22. #13124764C2semidirect
23. #13124644C2semidirect
24. #13124631C2semidirect
25. #13124454C2semidirect
26. #13124452C2semidirect
27. #13123647C2semidirect
28. #13123569C2semidirect
29. #13123424C2semidirect
30. #13123423C2semidirect
31. C13×#3347C2semidirect
33. C13×#553C22semidirect
41. #11719399C22semidirect
52. #11719321C22semidirect
53. #11719316C22semidirect
63. #11719263C22semidirect
67. #11719246C22semidirect
70. #11719238C22semidirect
78. #11719216C22semidirect
80. C13×#501C22semidirect
81. C13×#482C22semidirect
82. C13×#482C22semidirect
83. C13×#482C22semidirect
84. C13×#480C22semidirect
85. C13×#478C22semidirect
86. C13×#474C22semidirect
87. C13×#469C22semidirect
88. C13×#466C22semidirect
89. C13×#442C22semidirect
90. C13×#435C22semidirect
91. C13×#428C22semidirect
92. C13×#427C22semidirect
93. #11718820C22semidirect
94. #11718818C22semidirect
95. D8×Dic13C22semidirect
96. #11718795C22semidirect
97. #11718789C22semidirect
98. #11718782C22semidirect
99. #11718775C22semidirect
100. C8×C22⋊D13C22semidirect
101. #11718767C22semidirect
102. #11718755C22semidirect
103. #11718741C22semidirect
104. #11718727C22semidirect
105. #11718726C22semidirect
106. #11718703C22semidirect
107. #11718702C22semidirect
108. #11718700C22semidirect
109. #11718699C22semidirect
110. #11718696C22semidirect
111. #11718696C22semidirect
112. #11718696C22semidirect
113. #11718695C22semidirect
114. #11718679C22semidirect
115. #11718675C22semidirect
116. #11718672C22semidirect
117. #11718670C22semidirect
118. #11718668C22semidirect
119. #11718664C22semidirect
120. #11718659C22semidirect
121. #11718659C22semidirect
122. #11718657C22semidirect
123. #11718657C22semidirect
124. #11718656C22semidirect
125. #11718628C22semidirect
126. #11718625C22semidirect
127. #11718551C22semidirect
128. #11718549C22semidirect
129. #11718549C22semidirect
130. #11718547C22semidirect
131. #11718546C22semidirect
132. #11718546C22semidirect
133. #11718543C22semidirect
139. #11718542C22semidirect
140. #11718542C22semidirect
141. #11718541C22semidirect
142. #11718541C22semidirect
143. #11718536C22semidirect
144. #11718536C22semidirect
145. #11718535C22semidirect
146. #11718535C22semidirect
147. #11718531C22semidirect
148. #11718528C22semidirect
149. #11718528C22semidirect
150. #11718525C22semidirect
151. #11718524C22semidirect
156. #11718522C22semidirect
157. #11718522C22semidirect
158. #11718521C22semidirect
159. #11718521C22semidirect
160. #11718516C22semidirect
161. #11718516C22semidirect
162. #11718513C22semidirect
163. #11718512C22semidirect
164. #11718508C22semidirect
166. #11718497C22semidirect
167. #11718445C22semidirect
168. #11718445C22semidirect
169. #11718443C22semidirect
170. #11718441C22semidirect
171. #11718440C22semidirect
172. #11718440C22semidirect
173. #11718440C22semidirect
174. #11718440C22semidirect
175. #11718439C22semidirect
176. #11718438C22semidirect
177. #11718436C22semidirect
178. #11718435C22semidirect
185. #11718422C22semidirect
186. #11718422C22semidirect
187. #11718422C22semidirect
188. #11718420C22semidirect
189. #11718419C22semidirect
190. #11718417C22semidirect
191. #11718398C22semidirect
192. #11718396C22semidirect
193. #11718390C22semidirect
196. #11718386C22semidirect
197. #11718384C22semidirect
198. #11718384C22semidirect
199. #11718371C22semidirect
201. #11718367C22semidirect
202. #11718363C22semidirect
680. #6094#41semidirect
696. #3347D13semidirect
845. #553C2×D13semidirect
877. #501C2×D13semidirect
903. #482C2×D13semidirect
904. #482C2×D13semidirect
905. #482C2×D13semidirect
913. #480C2×D13semidirect
917. #478C2×D13semidirect
929. #474C2×D13semidirect
933. #469C2×D13semidirect
941. #466C2×D13semidirect
947. #442C2×D13semidirect
959. #435C2×D13semidirect
978. #428C2×D13semidirect
986. #427C2×D13semidirect
1539. C13#61256semidirect

Maximal subgroups

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

subgroupindex
#131283952
D13×#5552
#131274582
#131274552
#131274292
#131274262
#131273532
#131273512
#131273502
#131273482
#131273432
#131273412
#131273302
#131272552
#131272532
#131272472
#131272452
#131253812
#131247752
#131247712
#131247642
#131246442
#131246312
#131244542
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