Finite Group Databasebeta

← #16745170

Subgroups — #16745170

Order 3328.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128443C211yesmaximal, characteristic, complemented
2#13128387C211yesmaximal, characteristic, complemented
3#13127835C211yesmaximal, characteristic, complemented
4#13127698C211yesmaximal, characteristic, complemented
5#13127497C211yesmaximal, characteristic, complemented
6#13127482C211yesmaximal, characteristic, complemented
7#13127455C211yesmaximal, characteristic, complemented
8#13127394C211yesmaximal, characteristic, complemented
9#13127390C211yesmaximal, characteristic, complemented
10#13127148C211yesmaximal, characteristic, complemented
11#13127073C211yesmaximal, characteristic, complemented
12#13127054C211yesmaximal, characteristic, complemented
13#13127047C211yesmaximal, characteristic, complemented
14#13127033C211yesmaximal, characteristic, complemented
15#13126447C211yesmaximal, characteristic, complemented
16#13126443C211yesmaximal, characteristic, complemented
17#13126429C211yesmaximal, characteristic, complemented
18#13125564C211yesmaximal, characteristic, complemented
19#13125560C211yesmaximal, characteristic, complemented
20#13125549C211yesmaximal, characteristic, complemented
21#13124993C211yesmaximal, characteristic, complemented
22#13124973C211yesmaximal, characteristic, complemented
23#13124971C211yesmaximal, characteristic, complemented
24#13124950C211yesmaximal, characteristic, complemented
25#13124938C211yesmaximal, characteristic, complemented
26#13124922C211yesmaximal, characteristic, complemented
27#13123852C211yesmaximal, characteristic, complemented
28#13123649C211yesmaximal, characteristic, complemented
29#13123640C211yesmaximal, characteristic, complemented
30C4×#88165C211yesmaximal, characteristic, complemented
31C13×#3322C211yesmaximal, characteristic, complemented
32C13×#553C2211yescharacteristic
33C13×#546C2211yescharacteristic, complemented
34#41×Dic13C2211yescharacteristic, complemented
35#11719529C2211yescharacteristic
36C2×#88203C2211yescharacteristic
37#11719511C2211yescharacteristic, complemented
38C2×D4×Dic13C2211yescharacteristic, complemented
39C2×#88186C2211yescharacteristic
40C2×#88165C2211yescharacteristic
41#11719411—21no—
42#11719410—21no—
43#11719396C2211yescharacteristic, complemented
44#11719395C2211yescharacteristic, complemented
45#11719385C2211yescharacteristic, complemented
46#11719376C2211yescharacteristic, complemented
47#11719366—21no—
48#11719361—21no—
49#11719355—21no—
50#11719354—21no—
51#11719347C2211yescharacteristic, complemented
52#11719327C2211yescharacteristic, complemented
53#11719321C2211yescharacteristic
54#11719317C2211yescharacteristic
55#11719315—21no—
56#11719314C2211yescharacteristic, complemented
57#11719311—21no—
58#11719306—21no—
59#11719305—21no—
60#11719305C2211yescharacteristic, complemented
61#11719305C2211yescharacteristic, complemented
62#11719301C2211yescharacteristic
63#11719292—21no—
64#11719291—21no—
65#11719264C2211yescharacteristic, complemented
66#11719261—21no—
67#11719255C2211yescharacteristic
68C4×D4×D13—21no—
69C4×D4×D13C2211yescharacteristic, complemented
70#11719246C2211yescharacteristic, complemented
71#11719244C2211yescharacteristic, complemented
72C4×#6129C2211yescharacteristic
73C4×#6129C2211yescharacteristic, complemented
74#11719235C2211yescharacteristic
75#11719227C2211yescharacteristic
76#11719216C2211yescharacteristic, complemented
77C2×#88147C2211yescharacteristic, complemented
78#11719200—21no—
79C2×#88131—21no—
80C13×#488C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#480C2211yescharacteristic, complemented
83C13×#478C2211yescharacteristic, complemented
84C13×#469C2211yescharacteristic
85C13×#468C2211yescharacteristic, complemented
86C13×#463C2211yescharacteristic, complemented
87C13×#449C2211yescharacteristic
88C13×#447C2211yescharacteristic, complemented
89C4×C13×D8C2211yescharacteristic, complemented
90C13×#436C2211yescharacteristic, complemented
91C13×#418C2211yescharacteristic, complemented
92C13×#417C2211yescharacteristic, complemented
93#11718900C2211yescharacteristic, complemented
94#11718878C2211yescharacteristic, complemented
95#11718836C2211yescharacteristic, complemented
96#11718830C2211yescharacteristic, complemented
97#11718827C2211yescharacteristic, complemented
98#11718825C2211yescharacteristic, complemented
99#11718817C2211yescharacteristic
100#11718816C2211yescharacteristic, complemented
101#11718814C2211yescharacteristic, complemented
102#11718813C2211yescharacteristic, complemented
103#11718813C2211yescharacteristic, complemented
104#11718811C2211yescharacteristic
105#11718811C2211yescharacteristic
106#11718798C2211yescharacteristic, complemented
107#11718795C2211yescharacteristic, complemented
108#11718794C2211yescharacteristic
109#11718792C2211yescharacteristic, complemented
110#11718789C2211yescharacteristic, complemented
111#11718789C2211yescharacteristic, complemented
112M16×Dic13C2211yescharacteristic, complemented
113M16×Dic13C2211yescharacteristic, complemented
114#11718725C2211yescharacteristic, complemented
115#11718724C2211yescharacteristic, complemented
116#11718720C2211yescharacteristic, complemented
117#11718718C2211yescharacteristic
118#11718710C2211yescharacteristic, complemented
119#11718708C2211yescharacteristic
120#11718703C2211yescharacteristic, complemented
121#11718703C2211yescharacteristic, complemented
122#11718703C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic
124#11718696C2211yescharacteristic, complemented
125#11718695C2211yescharacteristic, complemented
126C4×#6105C2211yescharacteristic, complemented
127#11718677C2211yescharacteristic, complemented
128C4×#6104C2211yescharacteristic
129#11718673C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718657C2211yescharacteristic, complemented
132#11718656C2211yescharacteristic, complemented
133#11718632C2211yescharacteristic, complemented
134#11718625C2211yescharacteristic, complemented
135#11718552C2211yescharacteristic, complemented
136#11718552C2211yescharacteristic, complemented
137#11718550C2211yescharacteristic, complemented
138#11718550C2211yescharacteristic, complemented
139#11718549C2211yescharacteristic, complemented
140#11718542C2211yescharacteristic, complemented
141#11718536C2211yescharacteristic, complemented
142#11718535C2211yescharacteristic, complemented
143#11718531C2211yescharacteristic, complemented
144#11718527C2211yescharacteristic, complemented
145#11718519C2211yescharacteristic, complemented
146#11718514C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718506C2211yescharacteristic, complemented
149#11718496C2211yescharacteristic, complemented
150#11718491C2211yescharacteristic, complemented
151#11718479C2211yescharacteristic, complemented
152#11718478C2211yescharacteristic, complemented
153#11718478C2211yescharacteristic, complemented
154#11718477C2211yescharacteristic, complemented
155#11718473C2211yescharacteristic, complemented
156#11718466C2211yescharacteristic, complemented
157#11718460C2211yescharacteristic, complemented
158#11718454C2211yescharacteristic, complemented
159#11718453C2211yescharacteristic, complemented
160#11718450C2211yescharacteristic, complemented
161#11718449C2211yescharacteristic, complemented
162#11718449C2211yescharacteristic, complemented
163#11718448C2211yescharacteristic
164#11718448C2211yescharacteristic, complemented
165#11718446C2211yescharacteristic
166#11718446C2211yescharacteristic
167#11718446C2211yescharacteristic, complemented
168#11718446C2211yescharacteristic, complemented
169#11718444C2211yescharacteristic, complemented
170#11718443C2211yescharacteristic
171#11718442C2211yescharacteristic
172#11718441C2211yescharacteristic, complemented
173#11718435C2211yescharacteristic, complemented
174#11718432C2211yescharacteristic, complemented
175#11718431C2211yescharacteristic, complemented
176#11718429C2211yescharacteristic, complemented
177#11718429C2211yescharacteristic, complemented
178#11718427C2211yescharacteristic, complemented
179#11718422C2211yescharacteristic, complemented
180#11718422C2211yescharacteristic, complemented
181#11718421C2211yescharacteristic, complemented
182#11718419C2211yescharacteristic, complemented
183#11718419C2211yescharacteristic, complemented
184#11718418C2211yescharacteristic, complemented
185#11718418C2211yescharacteristic, complemented
186#11718418C2211yescharacteristic, complemented
187#11718417C2211yescharacteristic
188#11718417C2211yescharacteristic
189#11718417C2211yescharacteristic
190#11718417C2211yescharacteristic, complemented
191#11718396C2211yescharacteristic, complemented
192#11718394C2211yescharacteristic
193#11718392C2211yescharacteristic, complemented
194#11718390C2211yescharacteristic, complemented
195#11718390C2211yescharacteristic, complemented
196#11718384C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718358C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic, complemented
201C4×#6094C2211yescharacteristic, complemented
202C8×Dic26C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C23×Dic13—21no—
206C2×#6129—21no—
207C2×#6129D411yescharacteristic
208C2×#6129C2311yescharacteristic
209C2×D4×D13—21no—
210C2×D4×D13C2311yescharacteristic
211C2×#6127C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C22×C4×D13—21no—
214C22×C4×D13—21no—
215C2×C13×SD16C2311yescharacteristic
216C2×C13×D8C2311yescharacteristic
217C2×C13×D8C2311yescharacteristic
218C2×C13×M16C2311yescharacteristic
219C2×C13×M16C2311yescharacteristic
220C13×#126—21no—
221C13×#125C2311yescharacteristic
222C13×#124C2311yescharacteristic
223C13×#123—21no—
224C13×#123—21no—
225C13×C22⋊Q8C2311yescharacteristic
226C13×#121—21no—
227C13×#121—21no—
228C13×#121C2311yescharacteristic
229C13×#121C2311yescharacteristic
230C13×#121C2311yescharacteristic
231C13×#120—21no—
232C4×D4×C13—21no—
233C4×D4×C13C2311yescharacteristic
234C4×D4×C13C2311yescharacteristic
235C4×D4×C13C2311yescharacteristic
236C13×#117C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4—21no—
239#88207—21no—
240C2×C22⋊Dic13—21no—
241C2×C22⋊Dic13—21no—
242#88203—24no—
243#88200C2311yescharacteristic
244Q8×Dic13C2311yescharacteristic
245Q8×Dic13C2311yescharacteristic
246#88198C2311yescharacteristic
247C2×#6107C2311yescharacteristic
248C2×#6106C2311yescharacteristic
249C2×#6106C2311yescharacteristic
250#88194C2311yescharacteristic
251#88193—21no—
252#88193—21no—
253#88193—21no—
254#88193—21no—
255#88192—21no—
256#88192C2311yescharacteristic
257#88191—21no—
258#88191—21no—
259#88191—21no—
260#88190—21no—
261#88190C2311yescharacteristic
262#88190C2311yescharacteristic
263#88189—21no—
264#88189—21no—
265#88189—21no—
266#88189—21no—
267#88189—21no—
268D4×Dic13—21no—
269D4×Dic13—21no—
270D4×Dic13—21no—
271D4×Dic13—21no—
272D4×Dic13—21no—
273D4×Dic13—21no—
274D4×Dic13D411yescharacteristic
275D4×Dic13C2311yescharacteristic
276D4×Dic13C2311yescharacteristic
277D4×Dic13C2311yescharacteristic
278D4×Dic13C2311yescharacteristic
279D4×Dic13C2311yescharacteristic
280D4×Dic13C2311yescharacteristic
281C2×#6105C2311yescharacteristic
282C2×#6105C2311yescharacteristic
283C2×#6105C2311yescharacteristic
284#88186—24no—
285C2×#6104C2311yescharacteristic
286C2×#6104C2311yescharacteristic
287C2×#6104C2311yescharacteristic
288C2×#6104C2311yescharacteristic
289#88184C2311yescharacteristic
290#88183—21no—
291#88183—21no—
292C4×C22⋊D13—21no—
293C4×C22⋊D13—21no—
294C4×C22⋊D13—21no—
295C4×C22⋊D13—21no—
296C4×C22⋊D13C2311yescharacteristic
297C4×C22⋊D13C2311yescharacteristic
298C2×#6103—21no—
299#88180—21no—
300#88180C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302#88178—21no—
303#88178—21no—
304#88178C2311yescharacteristic
305#88178C2311yescharacteristic
306#88178C2311yescharacteristic
307C2×#6101—21no—
308C2×#6101—21no—
309C2×C4×Dic13—21no—
310C2×C4×Dic13—21no—
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×#6099C2311yescharacteristic
314C2×#6099C2311yescharacteristic
315#88165—24no—
316C2×Dic52C2311yescharacteristic
317C2×#6095C2311yescharacteristic
318C2×#6095C2311yescharacteristic
319C2×#6094C2311yescharacteristic
320C2×#6094C2311yescharacteristic
321#88152—21no—
322#88152—21no—
323#88151—21no—
324#88151C2311yescharacteristic
325#88150—21no—
326#88150—21no—
327#88150—21no—
328#88149C2311yescharacteristic
329#88148—21no—
330#88148—21no—
331#88147—21no—
332#88147—21no—
333#88147—21no—
334#88147C2311yescharacteristic
335#88147C2311yescharacteristic
336#88147C2311yescharacteristic
337#88147C2311yescharacteristic
338#88147C2311yescharacteristic
339#88146—21no—
340#88146D411yescharacteristic
341#88146C2311yescharacteristic
342C4⋊C4×D13—21no—
343C4⋊C4×D13C2311yescharacteristic
344#88144—21no—
345#88144C2311yescharacteristic
346#88144C2311yescharacteristic
347#88143—21no—
348#88143—21no—
349#88143—21no—
350#88142C2311yescharacteristic
351#88142C2311yescharacteristic
352#88141—21no—
353#88141D411yescharacteristic
354#88141C2311yescharacteristic
355#88141C2311yescharacteristic
356#88141C2311yescharacteristic
357#88140—21no—
358#88139—21no—
359#88139—21no—
360#88139—21no—
361#88138—21no—
362#88138—21no—
363#88138—21no—
364#88137—21no—
365#88137—21no—
366#88137—21no—
367#88137—21no—
368#88136—21no—
369#88135—21no—
370#88135—21no—
371#88135—21no—
372#88135—21no—
373#88135—21no—
374#88135—21no—
375#88135D411yescharacteristic
376#88135D411yescharacteristic
377C22⋊C4×D13—21no—
378C22⋊C4×D13—21no—
379C22⋊C4×D13—21no—
380#88133—21no—
381#88133—21no—
382#88133—21no—
383#88133—21no—
384#88133—21no—
385#88133—21no—
386#88132—21no—
387#88132—21no—
388#88132—21no—
389#88132—21no—
390#88131—21no—
391#88131—21no—
392#88131—21no—
393#88131—21no—
394#88131—21no—
395#88131—21no—
396#88131—21no—
397#88131—21no—
398#88131—21no—
399#88131D411yescharacteristic
400#88131D411yescharacteristic
401#88130—21no—
402#88129C2311yescharacteristic
403C4×D52—21no—
404C4×D52C2311yescharacteristic
405#88126—21no—
406C42×D13—21no—
407C42×D13C2311yescharacteristic
408#88124C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#107C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#103C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×C22⋊C8C2311yescharacteristic
426C13×C22⋊C8C2311yescharacteristic
427C4×C8×C13C2311yescharacteristic
428#88075C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88060C2311yescharacteristic
443#88060C2311yescharacteristic
444#88058C2311yescharacteristic
445#88057C2311yescharacteristic
446#88057C2311yescharacteristic
447#88056C2311yescharacteristic
448#88056C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88055C2311yescharacteristic
452#88055C2311yescharacteristic
453#88055C2311yescharacteristic
454#88055C2311yescharacteristic
455#88054C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459C8×Dic13C2311yescharacteristic
460C8×Dic13C2311yescharacteristic
461C8×Dic13C2311yescharacteristic
462C8×Dic13C2311yescharacteristic
463#88050C2311yescharacteristic
464#88050C2311yescharacteristic
465#88050C2311yescharacteristic
466#88050C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88048C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481#61464—131nomaximal, Sylow
482C24×C13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C13×#41—22no—
486C13×#41—41no—
487C2×Q8×C13C2411yescharacteristic
488C2×D4×C13—22no—
489C2×D4×C13—21no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—41no—
495C2×D4×C13C2×D411yescharacteristic
496C2×D4×C13C2411yescharacteristic
497C2×D4×C13C2411yescharacteristic
498C2×D4×C13C2411yescharacteristic
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13—21no—
503C22×C4×C13C2411yescharacteristic
504C22×C4×C13C2411yescharacteristic
505C2×C22⋊D13—21no—
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⋊D13C2×D411yescharacteristic
513C2×C22⋊D13C2×D411yescharacteristic
514C22×Dic13—21no—
515C22×Dic13—21no—
516C22×Dic13—21no—
517C22×Dic13—21no—
518C22×Dic13—21no—
519C22×Dic13—21no—
520C22×Dic13—21no—
521C22×Dic13—21no—
522C22×Dic13—44no—
523C22×Dic13C2×D411yescharacteristic
524C22×Dic13C2×D411yescharacteristic
525C22×Dic13C2×D411yescharacteristic
526C22×Dic13C2×D411yescharacteristic
527#6129—22no—
528#6129—41no—
529#6129—42no—
530#6129—82no—
531D4×D13—22no—
532D4×D13—41no—
533D4×D13—44no—
534#6127—22no—
535#6127—41no—
536C2×D52—22no—
537C2×D52—21no—
538C2×D52—21no—
539C2×D52—41no—
540C2×D52C2411yescharacteristic
541C2×D52C2411yescharacteristic
542C2×C4×D13—21no—
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—21no—
548C2×C4×D13—21no—
549C2×C4×D13—21no—
550C2×C4×D13—82no—
551C2×C4×D13—82no—
552C2×C4×D13C2×D411yescharacteristic
553C2×C4×D13C2×D411yescharacteristic
554C2×C4×D13C2411yescharacteristic
555C2×Dic26—21no—
556C2×Dic26—21no—
557C2×Dic26C2×D411yescharacteristic
558C2×Dic26C2411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×SD16—41no—
561C13×D8—22no—
562C13×D8—41no—
563C13×M16—41no—
564C13×M16—41no—
565C2×C8×C13C2411yescharacteristic
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
569C13×C4⋊C4—21no—
570C13×C4⋊C4—21no—
571C13×C4⋊C4—21no—
572C13×C4⋊C4—21no—
573C13×C4⋊C4C2×D411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C4⋊C4C2411yescharacteristic
577C13×C4⋊C4C2411yescharacteristic
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4—21no—
587C13×C22⋊C4C2×D411yescharacteristic
588C13×C22⋊C4C2×D411yescharacteristic
589C42×C13—21no—
590C42×C13C2411yescharacteristic
591C22⋊Dic13—21no—
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—21no—
605C22⋊Dic13—21no—
606C22⋊Dic13C2×D411yescharacteristic
607C22⋊Dic13C2×D411yescharacteristic
608#6107—41no—
609#6106—22no—
610#6106—22no—
611#6105—22no—
612#6105—22no—
613#6105—22no—
614#6104—22no—
615#6104—22no—
616#6104—41no—
617#6104#4114yescomplemented
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103C2×D411yescharacteristic
632#6103C2×D411yescharacteristic
633C4⋊Dic13—21no—
634C4⋊Dic13—21no—
635C4⋊Dic13—21no—
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13—21no—
639C4⋊Dic13C2×D411yescharacteristic
640C4⋊Dic13C2411yescharacteristic
641C4⋊Dic13C2411yescharacteristic
642C4⋊Dic13C2411yescharacteristic
643C4⋊Dic13C2411yescharacteristic
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#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101C2×D411yescharacteristic
662#6101C2×D411yescharacteristic
663#6101C2×D411yescharacteristic
664#6101C2×D411yescharacteristic
665C4×Dic13—21no—
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13C2×D411yescharacteristic
674C4×Dic13C2×D411yescharacteristic
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2411yescharacteristic
680C4×Dic13C2411yescharacteristic
681C4×Dic13C2411yescharacteristic
682#6099—22no—
683#6099—22no—
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688Dic52—41no—
689#6095—22no—
690#6095—41no—
691#6094—22no—
692#6094—41no—
693#3481—131no—
694#3475—131no—
695#3394—131no—
696#3380—131no—
697#3361—131no—
698#3360—131no—
699#3357—131no—
700#3351—131no—
701#3351—131no—
702#3331—131no—
703#3325—131no—
704#3323—131no—
705#3323—131no—
706#3322—131no—
707#3322D1311yescharacteristic, complemented
708#3273—131no—
709#3273—131no—
710#3272—131no—
711#3183—131no—
712#3183—131no—
713#3182—131no—
714#3116—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3109—131no—
720#2971—131no—
721C4×AGL(1,ℤ/8)—131no—
722C4×AGL(1,ℤ/8)—131no—
723C4×AGL(1,ℤ/8)—131no—
724C23×C13—21no—
725C23×C13—21no—
726C23×C13—21no—
727C23×C13—42no—
728C23×C13—42no—
729C23×C13—81no—
730C23×C13C22×D411yescharacteristic
731C23×C13C22×D411yescharacteristic
732C22×D13—21no—
733C22×D13—21no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—42no—
737C22×D13—42no—
738C22×D13—81no—
739C22×D13—81no—
740C22×D13C22×D411yescharacteristic
741Q8×C13—21no—
742Q8×C13—21no—
743D4×C13—21no—
744D4×C13—21no—
745D4×C13—21no—
746D4×C13—21no—
747D4×C13—21no—
748D4×C13—41no—
749D4×C13—42no—
750D4×C13—42no—
751D4×C13—42no—
752D4×C13—81no—
753D4×C13—81no—
754D4×C13C2×#4112yes—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—42no—
765C2×C4×C13—81no—
766C2×C4×C13—81no—
767C2×C4×C13—81no—
768C2×C4×C13C22×D411yescharacteristic
769C2×C4×C13C22×D411yescharacteristic
770C2×C4×C13C22×D411yescharacteristic
771C2×C4×C13C22×D411yescharacteristic
772C2×C4×C13C2511yescharacteristic
773C22⋊D13—22no—
774C22⋊D13—41no—
775C22⋊D13—42no—
776C22⋊D13—42no—
777C22⋊D13—42no—
778C22⋊D13—42no—
779C22⋊D13—81no—
780C22⋊D13—81no—
781C22⋊D13—81no—
782C2×Dic13—22no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—41no—
790C2×Dic13—41no—
791C2×Dic13—41no—
792C2×Dic13—42no—
793C2×Dic13—42no—
794C2×Dic13—42no—
795C2×Dic13—42no—
796C2×Dic13—42no—
797C2×Dic13—42no—
798C2×Dic13—42no—
799C2×Dic13—81no—
800C2×Dic13C22×D411yescharacteristic
801C2×Dic13C22×D411yescharacteristic
802C2×Dic13C22×D411yescharacteristic
803C2×Dic13C22×D411yescharacteristic
804C2×Dic13C22×D411yescharacteristic
805C2×Dic13C22×D411yescharacteristic
806C2×Dic13C22×D411yescharacteristic
807D52—21no—
808D52—21no—
809D52—21no—
810D52—42no—
811D52—42no—
812D52C2×#4112yes—
813C4×D13—21no—
814C4×D13—21no—
815C4×D13—41no—
816C4×D13—41no—
817C4×D13—42no—
818C4×D13—42no—
819C4×D13—42no—
820C4×D13—42no—
821C4×D13—81no—
822C4×D13—81no—
823C4×D13—81no—
824C4×D13—81no—
825Dic26—22no—
826Dic26—21no—
827Dic26—21no—
828Dic26—21no—
829Dic26—21no—
830Dic26—81no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13—21no—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055C2×#4112yes—
840C2×AGL(1,ℤ/8)—131no—
841C2×AGL(1,ℤ/8)—131no—
842C2×AGL(1,ℤ/8)—131no—
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554—131no—
849#553—131no—
850#553—261no—
851#553—261no—
852#553C2×D1311yescharacteristic
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—261no—
865#546C2×D1311yescharacteristic, complemented
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41—131no—
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—261no—
887C2×#117—261no—
888#500—131no—
889#499—131no—
890#499—131no—
891#495—131no—
892#495—131no—
893#492—131no—
894#488—131no—
895#488—131no—
896#488—131no—
897#488C2×D1311yescharacteristic, complemented
898#487—131no—
899#486—131no—
900#485—131no—
901#485—131no—
902#485—131no—
903#485C2×D1311yescharacteristic, complemented
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#481—131no—
909#481—131no—
910#480—131no—
911#480C2×D1311yescharacteristic, complemented
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478C2×D1311yescharacteristic, complemented
920#477—131no—
921#476—131no—
922#476—131no—
923#476—131no—
924#470—131no—
925#470—131no—
926#469—131no—
927#469C2×D1311yescharacteristic
928#468—131no—
929#468—131no—
930#468—131no—
931#468—131no—
932#468—131no—
933#468—131no—
934#468—131no—
935#468C2×D1311yescharacteristic, complemented
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463C2×D1311yescharacteristic, complemented
944#462—131no—
945#461—131no—
946#459—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#452—131no—
951#452—131no—
952#450—131no—
953#450—131no—
954#449—131no—
955#449C2×D1311yescharacteristic
956#447—131no—
957#447—131no—
958#447—131no—
959#447C2×D1311yescharacteristic, complemented
960C8×Q8—131no—
961C8×Q8—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#441—131no—
969#441—131no—
970#440—131no—
971#440—131no—
972#440—131no—
973#440—131no—
974#440—131no—
975#440—131no—
976#440—131no—
977#440—131no—
978C4×SD16—131no—
979C4×SD16—131no—
980C4×SD16—131no—
981C4×SD16—131no—
982C4×SD16—131no—
983C4×SD16—131no—
984C4×D8—131no—
985C4×D8—131no—
986C4×D8—131no—
987C4×D8—131no—
988C4×D8—131no—
989C4×D8C2×D1311yescharacteristic, complemented
990#436—131no—
991#436—131no—
992#436—131no—
993#436—131no—
994#436—131no—
995#436C2×D1311yescharacteristic, complemented
996#432—131no—
997#432—131no—
998#432—131no—
999#428—131no—
1000#428—131no—
1001#428—131no—
1002#418—131no—
1003#418—131no—
1004#418C2×D1311yescharacteristic, complemented
1005#417—131no—
1006#417—131no—
1007#417C2×D1311yescharacteristic, complemented
1008C4×M16—131no—
1009C4×M16—131no—
1010C4×M16—131no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—22no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—41no—
1024C22×C13—41no—
1025C22×C13—41no—
1026C22×C13—84no—
1027C22×C13C23×D411yescharacteristic
1028C2×D13—21no—
1029C2×D13—21no—
1030C2×D13—22no—
1031C2×D13—21no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—84no—
1038C2×D13—84no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13C22×#4111yescharacteristic
1049C4×C13#58511yescharacteristic
1050Dic13—21no—
1051Dic13—21no—
1052Dic13—21no—
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—21no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13#57512yes—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—131no—
1066C2×#41—261no—
1067C2×#41C22×D1311yescharacteristic
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—261no—
1071C22×D4C22×D1311yescharacteristic
1072C23×C4—261no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—264no—
1076AGL(1,ℤ/8)—264no—
1077AGL(1,ℤ/8)—264no—
1078C2×Q16—131no—
1079C2×Q16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16—131no—
1086C2×SD16—131no—
1087C2×SD16C22×D1311yescharacteristic
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—131no—
1092C2×D8C22×D1311yescharacteristic
1093C2×D8C22×D1311yescharacteristic
1094C2×M16—131no—
1095C2×M16—131no—
1096C2×M16—131no—
1097C2×M16—131no—
1098C2×M16C22×D1311yescharacteristic
1099C2×M16C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8—131no—
1103#127—131no—
1104#126—21no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—131no—
1115#125—131no—
1116#125—131no—
1117#125—261no—
1118#125—261no—
1119#125—261no—
1120#125—261no—
1121#125C22×D1311yescharacteristic
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—261no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124C22×D1311yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—131no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8—261no—
1160C22⋊Q8—261no—
1161C22⋊Q8C22×D1311yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—261no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121C22×D1311yescharacteristic
1176#121C22×D1311yescharacteristic
1177#121C22×D1311yescharacteristic
1178#120—21no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—131no—
1191C4×Q8—131no—
1192C4×Q8—261no—
1193C4×D4—21no—
1194C4×D4—131no—
1195C4×D4—131no—
1196C4×D4—131no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—131no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4—261no—
1231C4×D4C22×D1311yescharacteristic
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—131no—
1235#117—131no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—261no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117—261no—
1251#117C22×D1311yescharacteristic
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—131no—
1254C2×C4⋊C4—261no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4—261no—
1257C2×C4⋊C4C22×D1311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—131no—
1266C2×C42—131no—
1267C2×C42—131no—
1268C2×C42—261no—
1269C2×C42—261no—
1270C2×C42—261no—
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107C22×D1311yescharacteristic
1278#107C22×D1311yescharacteristic
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106—131no—
1286#106C22×D1311yescharacteristic
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8C22×D1311yescharacteristic
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103—131no—
1302#103C22×D1311yescharacteristic
1303#103C22×D1311yescharacteristic
1304#103C22×D1311yescharacteristic
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102C22×D1311yescharacteristic
1319#102C22×D1311yescharacteristic
1320#102C22×D1311yescharacteristic
1321#102C22×D1311yescharacteristic
1322#102C22×D1311yescharacteristic
1323#102C22×D1311yescharacteristic
1324#102C22×D1311yescharacteristic
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8C22×D1311yescharacteristic
1330C22⋊C8C22×D1311yescharacteristic
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335C4×C8—131no—
1336C4×C8—131no—
1337C4×C8—131no—
1338C4×C8—131no—
1339C4×C8—131no—
1340C4×C8C22×D1311yescharacteristic
1341C2×C13—41no—
1342C2×C13—41no—
1343C2×C13—42no—
1344C2×C13—81no—
1345C2×C13—81no—
1346C2×C13D4×#4111yescharacteristic
1347C2×C13C2×#57511yescharacteristic
1348C2×C13#358511yescharacteristic
1349D13—41no—
1350D13—42no—
1351D13—81no—
1352C24—21no—
1353C24—261no—
1354C24—261no—
1355#41—22no—
1356#41—41no—
1357#41—262no—
1358#41—262no—
1359#41—521no—
1360#41—521no—
1361#41—522no—
1362#41—1042no—
1363C2×Q8—131no—
1364C2×Q8—131no—
1365C2×Q8—131no—
1366C2×Q8—261no—
1367C2×Q8—261no—
1368C2×Q8C23×D1311yescharacteristic
1369C2×D4—22no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—41no—
1376C2×D4—131no—
1377C2×D4—131no—
1378C2×D4—131no—
1379C2×D4—131no—
1380C2×D4—262no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—262no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—521no—
1392C2×D4—521no—
1393C2×D4—524no—
1394C2×D4D4×D1311yescharacteristic
1395C2×D4C23×D1311yescharacteristic
1396C2×D4C23×D1311yescharacteristic
1397C2×D4C23×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—131no—
1403C22×C4—131no—
1404C22×C4—131no—
1405C22×C4—131no—
1406C22×C4—131no—
1407C22×C4—131no—
1408C22×C4—131no—
1409C22×C4—261no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—261no—
1425C22×C4—524no—
1426C22×C4—1042no—
1427C22×C4—1042no—
1428C22×C4C23×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—521no—
1431Q16—521no—
1432SD16—41no—
1433SD16—262no—
1434SD16—262no—
1435SD16—262no—
1436SD16—262no—
1437SD16—262no—
1438SD16—262no—
1439SD16—521no—
1440D8—22no—
1441D8—41no—
1442D8—134no—
1443D8—262no—
1444D8—262no—
1445D8—521no—
1446M16—41no—
1447M16—41no—
1448M16—262no—
1449M16—262no—
1450M16—262no—
1451M16—521no—
1452C2×C8—131no—
1453C2×C8—131no—
1454C2×C8—131no—
1455C2×C8—131no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—131no—
1472C4⋊C4—131no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4—261no—
1495C4⋊C4—261no—
1496C4⋊C4D4×D1311yescharacteristic
1497C4⋊C4C23×D1311yescharacteristic
1498C4⋊C4C23×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—131no—
1511C22⋊C4—131no—
1512C22⋊C4—131no—
1513C22⋊C4—131no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4D4×D1311yescharacteristic
1543C22⋊C4D4×D1311yescharacteristic
1544C42—21no—
1545C42—131no—
1546C42—131no—
1547C42—131no—
1548C42—131no—
1549C42—131no—
1550C42—131no—
1551C42—131no—
1552C42—131no—
1553C42—131no—
1554C42—261no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42—261no—
1560C42—261no—
1561C42—261no—
1562C42C23×D1311yescharacteristic
1563C13#6146411yescharacteristic, complemented, Sylow
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—131no—
1571C23—261no—
1572C23—261no—
1573C23—522no—
1574C23—522no—
1575C23—522no—
1576C23—522no—
1577C23—1041no—
1578C23—1041no—
1579C23C2×D4×D1311yescharacteristic
1580C23C2×D4×D1311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—262no—
1584Q8—261no—
1585Q8—261no—
1586Q8—261no—
1587Q8—261no—
1588Q8—1041no—
1589Q8—1041no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—41no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—81no—
1601D4—132no—
1602D4—262no—
1603D4—261no—
1604D4—261no—
1605D4—261no—
1606D4—522no—
1607D4—522no—
1608D4—522no—
1609D4—521no—
1610D4—522no—
1611D4—522no—
1612D4—522no—
1613D4—1041no—
1614D4—1041no—
1615D4—1041no—
1616D4#41×D1312yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—131no—
1631C2×C4—131no—
1632C2×C4—131no—
1633C2×C4—131no—
1634C2×C4—131no—
1635C2×C4—131no—
1636C2×C4—131no—
1637C2×C4—262no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—521no—
1647C2×C4—521no—
1648C2×C4—522no—
1649C2×C4—522no—
1650C2×C4—522no—
1651C2×C4—522no—
1652C2×C4—522no—
1653C2×C4—522no—
1654C2×C4—521no—
1655C2×C4—521no—
1656C2×C4—521no—
1657C2×C4—522no—
1658C2×C4—522no—
1659C2×C4—522no—
1660C2×C4—522no—
1661C2×C4—522no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4—1041no—
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—132no—
1677C8—261no—
1678C8—261no—
1679C8—261no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—84no—
1696C22—261no—
1697C22—261no—
1698C22—262no—
1699C22—261no—
1700C22—521no—
1701C22—521no—
1702C22—521no—
1703C22—521no—
1704C22—521no—
1705C22—1044no—
1706C22—1044no—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—132no—
1718C4—261no—
1719C4—261no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—261no—
1724C4—521no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C2×#41×D1311yescharacteristic
1731C4#1171965011yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—521no—
1738C2—522no—
1739C2—1041no—
1740C2#1312832011yescharacteristic
1741C2D13×#57511yescharacteristic
1742C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3322C2
socleC22×C13C23×D4
hypercenter#3322D13
hypocenterC13#61464
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #13128443C2semidirect
2. #13128387C2semidirect
3. #13127835C2semidirect
4. #13127698C2semidirect
5. #13127497C2semidirect
6. #13127482C2semidirect
7. #13127455C2semidirect
8. #13127394C2semidirect
9. #13127390C2semidirect
10. #13127148C2semidirect
11. #13127073C2semidirect
12. #13127054C2semidirect
13. #13127047C2semidirect
14. #13127033C2semidirect
15. #13126447C2semidirect
16. #13126443C2semidirect
17. #13126429C2semidirect
18. #13125564C2semidirect
19. #13125560C2semidirect
20. #13125549C2semidirect
21. #13124993C2semidirect
22. #13124973C2semidirect
23. #13124971C2semidirect
24. #13124950C2semidirect
25. #13124938C2semidirect
26. #13124922C2semidirect
27. #13123852C2semidirect
28. #13123649C2semidirect
29. #13123640C2semidirect
30. C4×#88165C2semidirect
31. C13×#3322C2semidirect
33. C13×#546C22semidirect
34. #41×Dic13C22semidirect
37. #11719511C22semidirect
38. C2×D4×Dic13C22semidirect
43. #11719396C22semidirect
44. #11719395C22semidirect
45. #11719385C22semidirect
46. #11719376C22semidirect
51. #11719347C22semidirect
52. #11719327C22semidirect
56. #11719314C22semidirect
60. #11719305C22semidirect
61. #11719305C22semidirect
65. #11719264C22semidirect
69. C4×D4×D13C22semidirect
70. #11719246C22semidirect
71. #11719244C22semidirect
73. C4×#6129C22semidirect
76. #11719216C22semidirect
77. C2×#88147C22semidirect
80. C13×#488C22semidirect
81. C13×#485C22semidirect
82. C13×#480C22semidirect
83. C13×#478C22semidirect
85. C13×#468C22semidirect
86. C13×#463C22semidirect
88. C13×#447C22semidirect
89. C4×C13×D8C22semidirect
90. C13×#436C22semidirect
91. C13×#418C22semidirect
92. C13×#417C22semidirect
93. #11718900C22semidirect
94. #11718878C22semidirect
95. #11718836C22semidirect
96. #11718830C22semidirect
97. #11718827C22semidirect
98. #11718825C22semidirect
100. #11718816C22semidirect
101. #11718814C22semidirect
102. #11718813C22semidirect
103. #11718813C22semidirect
106. #11718798C22semidirect
107. #11718795C22semidirect
109. #11718792C22semidirect
110. #11718789C22semidirect
111. #11718789C22semidirect
112. M16×Dic13C22semidirect
113. M16×Dic13C22semidirect
114. #11718725C22semidirect
115. #11718724C22semidirect
116. #11718720C22semidirect
118. #11718710C22semidirect
120. #11718703C22semidirect
121. #11718703C22semidirect
122. #11718703C22semidirect
124. #11718696C22semidirect
125. #11718695C22semidirect
126. C4×#6105C22semidirect
127. #11718677C22semidirect
129. #11718673C22semidirect
130. #11718670C22semidirect
131. #11718657C22semidirect
132. #11718656C22semidirect
133. #11718632C22semidirect
134. #11718625C22semidirect
135. #11718552C22semidirect
136. #11718552C22semidirect
137. #11718550C22semidirect
138. #11718550C22semidirect
139. #11718549C22semidirect
140. #11718542C22semidirect
141. #11718536C22semidirect
142. #11718535C22semidirect
143. #11718531C22semidirect
144. #11718527C22semidirect
145. #11718519C22semidirect
146. #11718514C22semidirect
147. #11718508C22semidirect
148. #11718506C22semidirect
149. #11718496C22semidirect
150. #11718491C22semidirect
151. #11718479C22semidirect
152. #11718478C22semidirect
153. #11718478C22semidirect
154. #11718477C22semidirect
155. #11718473C22semidirect
156. #11718466C22semidirect
157. #11718460C22semidirect
158. #11718454C22semidirect
159. #11718453C22semidirect
160. #11718450C22semidirect
161. #11718449C22semidirect
162. #11718449C22semidirect
164. #11718448C22semidirect
167. #11718446C22semidirect
168. #11718446C22semidirect
169. #11718444C22semidirect
172. #11718441C22semidirect
173. #11718435C22semidirect
174. #11718432C22semidirect
175. #11718431C22semidirect
176. #11718429C22semidirect
177. #11718429C22semidirect
178. #11718427C22semidirect
179. #11718422C22semidirect
180. #11718422C22semidirect
181. #11718421C22semidirect
182. #11718419C22semidirect
183. #11718419C22semidirect
184. #11718418C22semidirect
185. #11718418C22semidirect
186. #11718418C22semidirect
190. #11718417C22semidirect
191. #11718396C22semidirect
193. #11718392C22semidirect
194. #11718390C22semidirect
195. #11718390C22semidirect
196. #11718384C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. #11718358C22semidirect
200. C4×#6095C22semidirect
201. C4×#6094C22semidirect
202. C8×Dic26C22semidirect
617. #6104#41semidirect
707. #3322D13semidirect
865. #546C2×D13semidirect
897. #488C2×D13semidirect
903. #485C2×D13semidirect
911. #480C2×D13semidirect
919. #478C2×D13semidirect
935. #468C2×D13semidirect
943. #463C2×D13semidirect
959. #447C2×D13semidirect
989. C4×D8C2×D13semidirect
995. #436C2×D13semidirect
1004. #418C2×D13semidirect
1007. #417C2×D13semidirect
1563. C13#61464semidirect

Maximal subgroups

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

subgroupindex
#131284432
#131283872
#131278352
#131276982
#131274972
#131274822
#131274552
#131273942
#131273902
#131271482
#131270732
#131270542
#131270472
#131270332
#131264472
#131264432
#131264292
#131255642
#131255602
#131255492
#131249932
#131249732
#131249712
#131249502
#131249382
#131249222
#131238522
#131236492
#131236402
C4×#881652
C13×#33222
#6146413