Finite Group Databasebeta

← #16744668

Subgroups — #16744668

Order 3328.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128443C211yesmaximal, characteristic, complemented
2#13128441C211yesmaximal, characteristic, complemented
3#13127924C211yesmaximal, characteristic, complemented
4#13127794C211yesmaximal, characteristic, complemented
5#13127595C211yesmaximal, characteristic, complemented
6#13127585C211yesmaximal, characteristic, complemented
7#13127436C211yesmaximal, characteristic, complemented
8#13127324C211yesmaximal, characteristic, complemented
9#13127314C211yesmaximal, characteristic, complemented
10#13127039C211yesmaximal, characteristic, complemented
11#13126978C211yesmaximal, characteristic, complemented
12#13126972C211yesmaximal, characteristic, complemented
13#13126918C211yesmaximal, characteristic, complemented
14#13126912C211yesmaximal, characteristic, complemented
15#13126443C211yesmaximal, characteristic, complemented
16#13126319C211yesmaximal, characteristic, complemented
17#13126314C211yesmaximal, characteristic, complemented
18#13125426C211yesmaximal, characteristic, complemented
19#13125424C211yesmaximal, characteristic, complemented
20#13125405C211yesmaximal, characteristic, complemented
21#13124888C211yesmaximal, characteristic, complemented
22#13124882C211yesmaximal, characteristic, complemented
23#13124857C211yesmaximal, characteristic, complemented
24#13124847C211yesmaximal, characteristic, complemented
25#13124833C211yesmaximal, characteristic, complemented
26#13124831C211yesmaximal, characteristic, complemented
27#13123799C211yesmaximal, characteristic, complemented
28#13123649C211yesmaximal, characteristic, complemented
29#13123640C211yesmaximal, characteristic, complemented
30C4×D8×D13C211yesmaximal, characteristic, complemented
31C13×#3322C211yesmaximal, characteristic, complemented
32C13×#553C2211yescharacteristic, complemented
33C13×#546C2211yescharacteristic, complemented
34#11719534C2211yescharacteristic
35#41×Dic13C2211yescharacteristic, complemented
36C2×#88203C2211yescharacteristic
37D4×C22⋊D13C2211yescharacteristic, complemented
38C2×D4×Dic13C2211yescharacteristic, complemented
39C2×#88186C2211yescharacteristic
40C2×D8×D13C2211yescharacteristic
41#11719411—21no—
42#11719410—21no—
43#11719396C2211yescharacteristic, complemented
44#11719395C2211yescharacteristic, complemented
45#11719386C2211yescharacteristic, complemented
46#11719385C2211yescharacteristic, complemented
47#11719366—21no—
48#11719363—21no—
49#11719361—21no—
50#11719354—21no—
51#11719340C2211yescharacteristic, complemented
52#11719329C2211yescharacteristic, complemented
53#11719319C2211yescharacteristic
54#11719317C2211yescharacteristic
55#11719315—21no—
56#11719314C2211yescharacteristic, complemented
57#11719311—21no—
58#11719311—21no—
59#11719306—21no—
60#11719305C2211yescharacteristic, complemented
61#11719301C2211yescharacteristic, complemented
62#11719301C2211yescharacteristic, complemented
63#11719296—21no—
64#11719291—21no—
65#11719270C2211yescharacteristic, complemented
66#11719264C2211yescharacteristic, complemented
67#11719261—21no—
68#11719255C2211yescharacteristic, complemented
69C4×D4×D13—21no—
70C4×D4×D13C2211yescharacteristic, complemented
71C4×D4×D13C2211yescharacteristic, complemented
72#11719244C2211yescharacteristic, complemented
73C4×#6129C2211yescharacteristic
74#11719235C2211yescharacteristic
75#11719227C2211yescharacteristic, complemented
76#11719216C2211yescharacteristic, complemented
77C2×#88147C2211yescharacteristic, complemented
78#11719200—21no—
79C2×#88135—21no—
80C13×#488C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#480C2211yescharacteristic, complemented
83C13×#478C2211yescharacteristic, complemented
84C13×#469C2211yescharacteristic, complemented
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#11718837C2211yescharacteristic, complemented
96#11718830C2211yescharacteristic, complemented
97#11718827C2211yescharacteristic, complemented
98SD16×Dic13C2211yescharacteristic, complemented
99#11718817C2211yescharacteristic
100#11718815C2211yescharacteristic, complemented
101#11718814C2211yescharacteristic, complemented
102#11718811C2211yescharacteristic
103#11718811C2211yescharacteristic, complemented
104D8×Dic13C2211yescharacteristic, complemented
105D8×Dic13C2211yescharacteristic, complemented
106#11718796C2211yescharacteristic, complemented
107#11718795C2211yescharacteristic, complemented
108#11718794C2211yescharacteristic, complemented
109#11718792C2211yescharacteristic, complemented
110#11718788C2211yescharacteristic, complemented
111#11718788C2211yescharacteristic, complemented
112M16×Dic13C2211yescharacteristic, complemented
113M16×Dic13C2211yescharacteristic, complemented
114#11718727C2211yescharacteristic, complemented
115#11718725C2211yescharacteristic, complemented
116#11718720C2211yescharacteristic, complemented
117#11718718C2211yescharacteristic, complemented
118#11718710C2211yescharacteristic, complemented
119#11718708C2211yescharacteristic, complemented
120#11718703C2211yescharacteristic, complemented
121#11718700C2211yescharacteristic, complemented
122#11718700C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718696C2211yescharacteristic, complemented
125#11718694C2211yescharacteristic, complemented
126#11718677C2211yescharacteristic, complemented
127C4×#6104C2211yescharacteristic
128C4×#6104C2211yescharacteristic, complemented
129#11718673C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718656C2211yescharacteristic, complemented
133#11718628C2211yescharacteristic, complemented
134#11718625C2211yescharacteristic, complemented
135#11718551C2211yescharacteristic, complemented
136#11718551C2211yescharacteristic, complemented
137#11718545C2211yescharacteristic, complemented
138D13×#107C2211yescharacteristic, complemented
139#11718538C2211yescharacteristic, complemented
140#11718537C2211yescharacteristic, complemented
141#11718533C2211yescharacteristic, complemented
142#11718533C2211yescharacteristic, complemented
143#11718532C2211yescharacteristic, complemented
144#11718524C2211yescharacteristic, complemented
145#11718517C2211yescharacteristic, complemented
146#11718513C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718505C2211yescharacteristic, complemented
149#11718494C2211yescharacteristic, complemented
150#11718492C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718478C2211yescharacteristic, complemented
153#11718478C2211yescharacteristic, complemented
154#11718474C2211yescharacteristic, complemented
155#11718470C2211yescharacteristic, complemented
156#11718468C2211yescharacteristic, complemented
157#11718459C2211yescharacteristic, complemented
158#11718457C2211yescharacteristic, complemented
159#11718456C2211yescharacteristic, complemented
160#11718451C2211yescharacteristic, complemented
161#11718449C2211yescharacteristic, complemented
162#11718449C2211yescharacteristic, complemented
163#11718447C2211yescharacteristic
164#11718447C2211yescharacteristic, complemented
165#11718446C2211yescharacteristic
166#11718446C2211yescharacteristic
167#11718446C2211yescharacteristic, complemented
168#11718446C2211yescharacteristic, complemented
169#11718439C2211yescharacteristic, complemented
170#11718438C2211yescharacteristic, complemented
171#11718437C2211yescharacteristic, complemented
172#11718436C2211yescharacteristic
173#11718434C2211yescharacteristic
174D13×#102C2211yescharacteristic, complemented
175D13×#102C2211yescharacteristic, complemented
176#11718426C2211yescharacteristic, complemented
177#11718425C2211yescharacteristic, complemented
178#11718425C2211yescharacteristic, complemented
179#11718424C2211yescharacteristic, complemented
180#11718420C2211yescharacteristic, complemented
181#11718420C2211yescharacteristic, complemented
182#11718419C2211yescharacteristic, complemented
183#11718419C2211yescharacteristic, complemented
184#11718418C2211yescharacteristic, complemented
185#11718418C2211yescharacteristic, complemented
186#11718417C2211yescharacteristic
187#11718417C2211yescharacteristic, complemented
188#11718417C2211yescharacteristic, complemented
189#11718417C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718397C2211yescharacteristic, complemented
192#11718395C2211yescharacteristic
193#11718393C2211yescharacteristic, complemented
194#11718389C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718384C2211yescharacteristic, complemented
197#11718379C2211yescharacteristic, complemented
198#11718379C2211yescharacteristic, complemented
199#11718358C2211yescharacteristic, complemented
200C4×D104C2211yescharacteristic, complemented
201C4×C8×D13C2211yescharacteristic, complemented
202#11718340C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C22×C22⋊D13—21no—
206C23×Dic13—21no—
207C2×#6129—21no—
208C2×#6129—21no—
209C2×#6129D411yescharacteristic
210C2×D4×D13—21no—
211C2×D4×D13C2311yescharacteristic
212C2×D4×D13C2311yescharacteristic
213C2×#6127C2311yescharacteristic
214C22×D52C2311yescharacteristic
215C22×C4×D13—21no—
216C22×C4×D13—21no—
217C22×C4×D13—21no—
218C2×C13×SD16C2311yescharacteristic
219C2×C13×D8C2311yescharacteristic
220C2×C13×D8C2311yescharacteristic
221C2×C13×M16C2311yescharacteristic
222C2×C13×M16C2311yescharacteristic
223C13×#126—21no—
224C13×#125C2311yescharacteristic
225C13×#124C2311yescharacteristic
226C13×#123—21no—
227C13×#123—21no—
228C13×C22⋊Q8C2311yescharacteristic
229C13×#121—21no—
230C13×#121—21no—
231C13×#121C2311yescharacteristic
232C13×#121C2311yescharacteristic
233C13×#121C2311yescharacteristic
234C13×#120—21no—
235C4×D4×C13—21no—
236C4×D4×C13C2311yescharacteristic
237C4×D4×C13C2311yescharacteristic
238C4×D4×C13C2311yescharacteristic
239C13×#117C2311yescharacteristic
240C2×C13×C4⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4—21no—
242#88207—21no—
243C2×C22⋊Dic13—21no—
244#88203—24no—
245#88201C2311yescharacteristic
246#88200C2311yescharacteristic
247Q8×Dic13C2311yescharacteristic
248Q8×Dic13C2311yescharacteristic
249C2×#6107C2311yescharacteristic
250C2×#6106C2311yescharacteristic
251C2×#6106C2311yescharacteristic
252#88194C2311yescharacteristic
253#88194C2311yescharacteristic
254#88193—21no—
255#88193—21no—
256#88193—21no—
257#88193—21no—
258#88193—21no—
259#88192—21no—
260#88192—21no—
261#88192C2311yescharacteristic
262#88191—21no—
263#88191—21no—
264#88191—21no—
265#88191—21no—
266#88191—21no—
267#88190C2311yescharacteristic
268#88189—21no—
269#88189—21no—
270D4×Dic13—21no—
271D4×Dic13—21no—
272D4×Dic13—21no—
273D4×Dic13—21no—
274D4×Dic13—21no—
275D4×Dic13D411yescharacteristic
276D4×Dic13C2311yescharacteristic
277D4×Dic13C2311yescharacteristic
278D4×Dic13C2311yescharacteristic
279D4×Dic13C2311yescharacteristic
280D4×Dic13C2311yescharacteristic
281D4×Dic13C2311yescharacteristic
282C2×#6105C2311yescharacteristic
283C2×#6105C2311yescharacteristic
284#88186—24no—
285C2×#6104C2311yescharacteristic
286C2×#6104C2311yescharacteristic
287C2×#6104C2311yescharacteristic
288C2×#6104C2311yescharacteristic
289C2×#6104C2311yescharacteristic
290#88184C2311yescharacteristic
291#88184C2311yescharacteristic
292#88184C2311yescharacteristic
293#88183—21no—
294#88183—21no—
295C4×C22⋊D13—21no—
296C4×C22⋊D13—21no—
297C4×C22⋊D13—21no—
298C4×C22⋊D13—21no—
299C4×C22⋊D13C2311yescharacteristic
300C4×C22⋊D13C2311yescharacteristic
301C2×#6103—21no—
302C2×#6103—21no—
303#88180—21no—
304#88180C2311yescharacteristic
305C2×C4⋊Dic13C2311yescharacteristic
306#88178—21no—
307#88178—21no—
308#88178C2311yescharacteristic
309C2×#6101—21no—
310C2×C4×Dic13—21no—
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×#6099C2311yescharacteristic
314C2×#6099C2311yescharacteristic
315D8×D13—24no—
316C2×D104C2311yescharacteristic
317C2×D104C2311yescharacteristic
318C2×#6095C2311yescharacteristic
319C2×C8×D13C2311yescharacteristic
320C2×C8×D13C2311yescharacteristic
321#88152—21no—
322#88152—21no—
323#88152—21no—
324#88151—21no—
325#88151—21no—
326#88151C2311yescharacteristic
327#88150—21no—
328#88150—21no—
329#88150—21no—
330#88149C2311yescharacteristic
331#88148—21no—
332#88148—21no—
333#88147—21no—
334#88147—21no—
335#88147—21no—
336#88147C2311yescharacteristic
337#88147C2311yescharacteristic
338#88147C2311yescharacteristic
339#88147C2311yescharacteristic
340#88147C2311yescharacteristic
341#88147C2311yescharacteristic
342#88146—21no—
343#88146—21no—
344#88146D411yescharacteristic
345C4⋊C4×D13—21no—
346C4⋊C4×D13C2311yescharacteristic
347C4⋊C4×D13C2311yescharacteristic
348#88144C2311yescharacteristic
349#88144C2311yescharacteristic
350#88143—21no—
351#88143—21no—
352#88142C2311yescharacteristic
353#88142C2311yescharacteristic
354#88141D411yescharacteristic
355#88141C2311yescharacteristic
356#88141C2311yescharacteristic
357#88140—21no—
358#88140—21no—
359#88139—21no—
360#88139—21no—
361#88139—21no—
362#88139—21no—
363#88138—21no—
364#88138—21no—
365#88138—21no—
366#88137—21no—
367#88137—21no—
368#88137—21no—
369#88137—21no—
370#88137—21no—
371#88137—21no—
372#88136—21no—
373#88135—21no—
374#88135—21no—
375#88135—21no—
376#88135—21no—
377#88135—21no—
378#88135—21no—
379#88135—21no—
380#88135—21no—
381#88135—21no—
382#88135—21no—
383#88135—21no—
384#88135—21no—
385#88135D411yescharacteristic
386#88135D411yescharacteristic
387C22⋊C4×D13—21no—
388C22⋊C4×D13—21no—
389C22⋊C4×D13—21no—
390C22⋊C4×D13—21no—
391#88133—21no—
392#88133—21no—
393#88133—21no—
394#88132—21no—
395#88132—21no—
396#88132—21no—
397#88131—21no—
398#88131—21no—
399#88131D411yescharacteristic
400#88131D411yescharacteristic
401#88130—21no—
402#88129C2311yescharacteristic
403C4×D52—21no—
404C4×D52C2311yescharacteristic
405C4×D52C2311yescharacteristic
406#88126—21no—
407C42×D13—21no—
408C42×D13C2311yescharacteristic
409#88124C2311yescharacteristic
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#88061C2311yescharacteristic
443#88060C2311yescharacteristic
444#88060C2311yescharacteristic
445#88058C2311yescharacteristic
446#88058C2311yescharacteristic
447#88057C2311yescharacteristic
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#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481#61444—131nomaximal, Sylow
482C24×C13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C23×D13—21no—
486C13×#41—22no—
487C13×#41—41no—
488C2×Q8×C13C2411yescharacteristic
489C2×D4×C13—22no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—41no—
496C2×D4×C13C2×D411yescharacteristic
497C2×D4×C13C2411yescharacteristic
498C2×D4×C13C2411yescharacteristic
499C2×D4×C13C2411yescharacteristic
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13—21no—
503C22×C4×C13—21no—
504C22×C4×C13C2411yescharacteristic
505C22×C4×C13C2411yescharacteristic
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C2×C22⋊D13—21no—
510C2×C22⋊D13—21no—
511C2×C22⋊D13—21no—
512C2×C22⋊D13—21no—
513C2×C22⋊D13—21no—
514C2×C22⋊D13—21no—
515C2×C22⋊D13—21no—
516C2×C22⋊D13—21no—
517C2×C22⋊D13—44no—
518C2×C22⋊D13C2×D411yescharacteristic
519C2×C22⋊D13C2×D411yescharacteristic
520C22×Dic13—21no—
521C22×Dic13—21no—
522C22×Dic13—21no—
523C22×Dic13—21no—
524C22×Dic13—21no—
525C22×Dic13—21no—
526C22×Dic13—21no—
527C22×Dic13—82no—
528C22×Dic13C2×D411yescharacteristic
529C22×Dic13C2×D411yescharacteristic
530C22×Dic13C2×D411yescharacteristic
531C22×Dic13C2×D411yescharacteristic
532#6129—42no—
533#6129—82no—
534#6129—82no—
535D4×D13—22no—
536D4×D13—22no—
537D4×D13—41no—
538D4×D13—41no—
539D4×D13—44no—
540#6127—22no—
541#6127—41no—
542C2×D52—22no—
543C2×D52—21no—
544C2×D52—21no—
545C2×D52—41no—
546C2×D52C2411yescharacteristic
547C2×D52C2411yescharacteristic
548C2×D52C2411yescharacteristic
549C2×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—21no—
552C2×C4×D13—21no—
553C2×C4×D13—21no—
554C2×C4×D13—21no—
555C2×C4×D13—21no—
556C2×C4×D13—21no—
557C2×C4×D13—21no—
558C2×C4×D13—21no—
559C2×C4×D13—21no—
560C2×C4×D13—82no—
561C2×C4×D13—82no—
562C2×C4×D13—82no—
563C2×C4×D13C2×D411yescharacteristic
564C2×C4×D13C2×D411yescharacteristic
565C2×C4×D13C2411yescharacteristic
566C2×Dic26—21no—
567C2×Dic26—21no—
568C2×Dic26C2×D411yescharacteristic
569C2×Dic26C2411yescharacteristic
570C13×SD16—41no—
571C13×D8—22no—
572C13×D8—41no—
573C13×M16—41no—
574C13×M16—41no—
575C2×C8×C13C2411yescharacteristic
576C2×C8×C13C2411yescharacteristic
577C2×C8×C13C2411yescharacteristic
578C2×C8×C13C2411yescharacteristic
579C13×C4⋊C4—21no—
580C13×C4⋊C4—21no—
581C13×C4⋊C4—21no—
582C13×C4⋊C4—21no—
583C13×C4⋊C4C2×D411yescharacteristic
584C13×C4⋊C4C2411yescharacteristic
585C13×C4⋊C4C2411yescharacteristic
586C13×C4⋊C4C2411yescharacteristic
587C13×C4⋊C4C2411yescharacteristic
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
590C13×C22⋊C4—21no—
591C13×C22⋊C4—21no—
592C13×C22⋊C4—21no—
593C13×C22⋊C4—21no—
594C13×C22⋊C4—21no—
595C13×C22⋊C4—21no—
596C13×C22⋊C4—21no—
597C13×C22⋊C4C2×D411yescharacteristic
598C13×C22⋊C4C2×D411yescharacteristic
599C42×C13—21no—
600C42×C13C2411yescharacteristic
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—21no—
605C22⋊Dic13—21no—
606C22⋊Dic13—21no—
607C22⋊Dic13—21no—
608C22⋊Dic13—21no—
609C22⋊Dic13—21no—
610C22⋊Dic13—21no—
611C22⋊Dic13—21no—
612C22⋊Dic13C2×D411yescharacteristic
613C22⋊Dic13C2×D411yescharacteristic
614#6107—41no—
615#6106—22no—
616#6106—22no—
617#6105—22no—
618#6105—22no—
619#6104—22no—
620#6104—22no—
621#6104—22no—
622#6104—41no—
623#6104#4114yescomplemented
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633#6103—21no—
634#6103—21no—
635#6103—21no—
636#6103—21no—
637#6103—21no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103C2×D411yescharacteristic
643#6103C2×D411yescharacteristic
644C4⋊Dic13—21no—
645C4⋊Dic13—21no—
646C4⋊Dic13—21no—
647C4⋊Dic13—21no—
648C4⋊Dic13—21no—
649C4⋊Dic13—21no—
650C4⋊Dic13C2×D411yescharacteristic
651C4⋊Dic13C2411yescharacteristic
652C4⋊Dic13C2411yescharacteristic
653C4⋊Dic13C2411yescharacteristic
654C4⋊Dic13C2411yescharacteristic
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101—21no—
666#6101—21no—
667#6101C2×D411yescharacteristic
668#6101C2×D411yescharacteristic
669#6101C2×D411yescharacteristic
670#6101C2×D411yescharacteristic
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2×D411yescharacteristic
680C4×Dic13C2×D411yescharacteristic
681C4×Dic13C2×D411yescharacteristic
682C4×Dic13C2411yescharacteristic
683C4×Dic13C2411yescharacteristic
684C4×Dic13C2411yescharacteristic
685#6099—22no—
686#6099—22no—
687C2×#1055C2411yescharacteristic
688C2×#1055C2411yescharacteristic
689C2×#1055C2411yescharacteristic
690C2×#1055C2411yescharacteristic
691D104—22no—
692D104—41no—
693#6095—41no—
694C8×D13—22no—
695C8×D13—41no—
696#3481—131no—
697#3481—131no—
698#3403—131no—
699#3389—131no—
700#3370—131no—
701#3370—131no—
702#3355—131no—
703#3346—131no—
704#3346—131no—
705#3322—131no—
706#3322D1311yescharacteristic, complemented
707#3318—131no—
708#3318—131no—
709#3314—131no—
710#3314—131no—
711#3273—131no—
712#3264—131no—
713#3264—131no—
714#3171—131no—
715#3171—131no—
716#3168—131no—
717#3105—131no—
718#3105—131no—
719#3102—131no—
720#3102—131no—
721#3100—131no—
722#3100—131no—
723#2965—131no—
724C4×AGL(1,ℤ/8)—131no—
725C4×AGL(1,ℤ/8)—131no—
726C2×C4×D8—131no—
727C23×C13—21no—
728C23×C13—21no—
729C23×C13—21no—
730C23×C13—42no—
731C23×C13—42no—
732C23×C13—81no—
733C23×C13C22×D411yescharacteristic
734C23×C13C22×D411yescharacteristic
735C22×D13—21no—
736C22×D13—21no—
737C22×D13—21no—
738C22×D13—42no—
739C22×D13—42no—
740C22×D13—42no—
741C22×D13—42no—
742C22×D13—42no—
743C22×D13—42no—
744C22×D13—81no—
745C22×D13—81no—
746C22×D13—81no—
747C22×D13C22×D411yescharacteristic
748Q8×C13—21no—
749Q8×C13—21no—
750D4×C13—21no—
751D4×C13—21no—
752D4×C13—21no—
753D4×C13—21no—
754D4×C13—21no—
755D4×C13—41no—
756D4×C13—42no—
757D4×C13—42no—
758D4×C13—42no—
759D4×C13—81no—
760D4×C13—81no—
761D4×C13C2×#4112yes—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—42no—
772C2×C4×C13—81no—
773C2×C4×C13—81no—
774C2×C4×C13—81no—
775C2×C4×C13C22×D411yescharacteristic
776C2×C4×C13C22×D411yescharacteristic
777C2×C4×C13C22×D411yescharacteristic
778C2×C4×C13C22×D411yescharacteristic
779C2×C4×C13C2511yescharacteristic
780C22⋊D13—22no—
781C22⋊D13—22no—
782C22⋊D13—42no—
783C22⋊D13—42no—
784C22⋊D13—42no—
785C22⋊D13—42no—
786C22⋊D13—42no—
787C22⋊D13—42no—
788C22⋊D13—42no—
789C22⋊D13—81no—
790C22⋊D13—81no—
791C22⋊D13—81no—
792C22⋊D13—81no—
793C2×Dic13—22no—
794C2×Dic13—22no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—41no—
801C2×Dic13—41no—
802C2×Dic13—42no—
803C2×Dic13—42no—
804C2×Dic13—42no—
805C2×Dic13—42no—
806C2×Dic13—81no—
807C2×Dic13—81no—
808C2×Dic13—81no—
809C2×Dic13C22×D411yescharacteristic
810C2×Dic13C22×D411yescharacteristic
811C2×Dic13C22×D411yescharacteristic
812C2×Dic13C22×D411yescharacteristic
813C2×Dic13C22×D411yescharacteristic
814C2×Dic13C22×D411yescharacteristic
815C2×Dic13C22×D411yescharacteristic
816D52—21no—
817D52—21no—
818D52—21no—
819D52—21no—
820D52—21no—
821D52—42no—
822D52—42no—
823D52C2×#4112yes—
824C4×D13—22no—
825C4×D13—21no—
826C4×D13—21no—
827C4×D13—22no—
828C4×D13—42no—
829C4×D13—42no—
830C4×D13—42no—
831C4×D13—42no—
832C4×D13—42no—
833C4×D13—81no—
834C4×D13—81no—
835C4×D13—81no—
836C4×D13—81no—
837C4×D13—81no—
838C4×D13—81no—
839Dic26—21no—
840Dic26—21no—
841Dic26—41no—
842Dic26—81no—
843Dic26—81no—
844C8×C13—21no—
845C8×C13—21no—
846C8×C13—21no—
847C8×C13—21no—
848#1055—21no—
849#1055—21no—
850#1055—21no—
851#1055C2×#4112yes—
852C2×AGL(1,ℤ/8)—131no—
853C2×AGL(1,ℤ/8)—131no—
854C22×D8—131no—
855#559—131no—
856#559—131no—
857#554—131no—
858#554—131no—
859#554—131no—
860#554—131no—
861#553—131no—
862#553—131no—
863#553—131no—
864#553—261no—
865#553—261no—
866#553C2×D1311yescharacteristic, complemented
867#551—261no—
868#551—261no—
869#551—261no—
870#551—261no—
871#546—131no—
872#546—131no—
873#546—131no—
874#546—261no—
875#546—261no—
876#546C2×D1311yescharacteristic, complemented
877D42—131no—
878D42—131no—
879#532—131no—
880#532—131no—
881#529—131no—
882#529—131no—
883#529—131no—
884#529—131no—
885#529—261no—
886#529—261no—
887#525—261no—
888#525—261no—
889#525—261no—
890#525—261no—
891C4×#41—131no—
892C4×#41—131no—
893C4×#41—131no—
894C2×C4×D4—131no—
895C2×C4×D4—131no—
896C2×C4×D4—131no—
897C2×C4×D4—131no—
898C2×C4×D4—261no—
899C2×C4×D4—261no—
900#501—131no—
901#501—131no—
902#499—131no—
903#496—131no—
904#496—131no—
905#495—131no—
906#490—131no—
907#490—131no—
908#489—131no—
909#489—131no—
910#488—131no—
911#488C2×D1311yescharacteristic, complemented
912#485—131no—
913#485C2×D1311yescharacteristic, complemented
914#484—131no—
915#484—131no—
916#482—131no—
917#482—131no—
918#481—131no—
919#481—131no—
920#480—131no—
921#480—131no—
922#480—131no—
923#480C2×D1311yescharacteristic, complemented
924#479—131no—
925#479—131no—
926#478—131no—
927#478—131no—
928#478—131no—
929#478—131no—
930#478—131no—
931#478C2×D1311yescharacteristic, complemented
932#474—131no—
933#474—131no—
934#474—131no—
935#474—131no—
936#469—131no—
937#469—131no—
938#469—131no—
939#469C2×D1311yescharacteristic, complemented
940#468—131no—
941#468—131no—
942#468—131no—
943#468C2×D1311yescharacteristic, complemented
944#467—131no—
945#466—131no—
946#465—131no—
947#465—131no—
948#464—131no—
949#464—131no—
950#463—131no—
951#463—131no—
952#463—131no—
953#463—131no—
954#463—131no—
955#463C2×D1311yescharacteristic, complemented
956#459—131no—
957#459—131no—
958#459—131no—
959#459—131no—
960#452—131no—
961#452—131no—
962#450—131no—
963#450—131no—
964#449—131no—
965#449C2×D1311yescharacteristic
966#447—131no—
967#447—131no—
968#447—131no—
969#447—131no—
970#447—131no—
971#447C2×D1311yescharacteristic, complemented
972#446—131no—
973#446—131no—
974#442—131no—
975#442—131no—
976#442—131no—
977#442—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982C4×Q16—131no—
983C4×SD16—131no—
984C4×SD16—131no—
985C4×SD16—131no—
986C4×SD16—131no—
987C4×SD16—131no—
988C4×SD16—131no—
989C4×D8—131no—
990C4×D8—131no—
991C4×D8—131no—
992C4×D8—131no—
993C4×D8—131no—
994C4×D8—131no—
995C4×D8—131no—
996C4×D8—131no—
997C4×D8—131no—
998C4×D8—131no—
999C4×D8—131no—
1000C4×D8—131no—
1001C4×D8C2×D1311yescharacteristic, complemented
1002#436—131no—
1003#436C2×D1311yescharacteristic, complemented
1004#435—131no—
1005#435—131no—
1006#435—131no—
1007#435—131no—
1008#431—131no—
1009#431—131no—
1010#431—131no—
1011#428—131no—
1012#428—131no—
1013C2×#107—131no—
1014#418—131no—
1015#418C2×D1311yescharacteristic, complemented
1016#417—131no—
1017#417C2×D1311yescharacteristic, complemented
1018C2×#102—131no—
1019C2×#102—131no—
1020C4×M16—131no—
1021C4×M16—131no—
1022C2×C4×C8—131no—
1023C22×C13—21no—
1024C22×C13—22no—
1025C22×C13—21no—
1026C22×C13—21no—
1027C22×C13—21no—
1028C22×C13—21no—
1029C22×C13—21no—
1030C22×C13—41no—
1031C22×C13—41no—
1032C22×C13—41no—
1033C22×C13—41no—
1034C22×C13—41no—
1035C22×C13—41no—
1036C22×C13—41no—
1037C22×C13—41no—
1038C22×C13—84no—
1039C22×C13C23×D411yescharacteristic
1040C2×D13—21no—
1041C2×D13—21no—
1042C2×D13—22no—
1043C2×D13—41no—
1044C2×D13—41no—
1045C2×D13—41no—
1046C2×D13—41no—
1047C2×D13—41no—
1048C2×D13—41no—
1049C2×D13—41no—
1050C2×D13—41no—
1051C2×D13—84no—
1052C2×D13—84no—
1053C2×D13—84no—
1054C2×D13#57512yes—
1055C4×C13—21no—
1056C4×C13—21no—
1057C4×C13—21no—
1058C4×C13—21no—
1059C4×C13—41no—
1060C4×C13—41no—
1061C4×C13—41no—
1062C4×C13—41no—
1063C4×C13—41no—
1064C4×C13C22×#4111yescharacteristic
1065C4×C13#58511yescharacteristic
1066Dic13—21no—
1067Dic13—21no—
1068Dic13—21no—
1069Dic13—21no—
1070Dic13—21no—
1071Dic13—21no—
1072Dic13—41no—
1073Dic13—41no—
1074Dic13—41no—
1075Dic13—41no—
1076Dic13—41no—
1077Dic13#57612yes—
1078C2×#41—131no—
1079C2×#41—131no—
1080C2×#41—261no—
1081C2×#41—261no—
1082C2×#41C22×D1311yescharacteristic
1083C22×D4—131no—
1084C22×D4—131no—
1085C22×D4—131no—
1086C22×D4—261no—
1087C22×D4—261no—
1088C22×D4C22×D1311yescharacteristic
1089C23×C4—261no—
1090C23×C4—261no—
1091C23×C4—261no—
1092C23×C4—261no—
1093AGL(1,ℤ/8)—264no—
1094AGL(1,ℤ/8)—264no—
1095C2×Q16—131no—
1096C2×SD16—131no—
1097C2×SD16—131no—
1098C2×SD16—131no—
1099C2×SD16—131no—
1100C2×SD16—131no—
1101C2×SD16C22×D1311yescharacteristic
1102C2×D8—131no—
1103C2×D8—131no—
1104C2×D8—131no—
1105C2×D8—131no—
1106C2×D8—131no—
1107C2×D8—131no—
1108C2×D8—131no—
1109C2×D8—264no—
1110C2×D8C22×D1311yescharacteristic
1111C2×D8C22×D1311yescharacteristic
1112C2×M16—131no—
1113C2×M16—131no—
1114C2×M16C22×D1311yescharacteristic
1115C2×M16C22×D1311yescharacteristic
1116C22×C8—131no—
1117C22×C8—131no—
1118C4⋊Q8—131no—
1119C4⋊Q8—131no—
1120#127—131no—
1121#127—131no—
1122#126—21no—
1123#126—261no—
1124#126—261no—
1125#126—261no—
1126#126—261no—
1127#126—261no—
1128#126—261no—
1129#126—261no—
1130#125—131no—
1131#125—131no—
1132#125—131no—
1133#125—261no—
1134#125—261no—
1135#125C22×D1311yescharacteristic
1136#124—131no—
1137#124—131no—
1138#124—131no—
1139#124—261no—
1140#124—261no—
1141#124—261no—
1142#124—261no—
1143#124C22×D1311yescharacteristic
1144#123—21no—
1145#123—21no—
1146#123—261no—
1147#123—261no—
1148#123—261no—
1149#123—261no—
1150#123—261no—
1151#123—261no—
1152#123—261no—
1153#123—261no—
1154#123—261no—
1155#123—261no—
1156#123—261no—
1157#123—261no—
1158#123—261no—
1159#123—261no—
1160C22⋊Q8—131no—
1161C22⋊Q8—131no—
1162C22⋊Q8—131no—
1163C22⋊Q8—261no—
1164C22⋊Q8—261no—
1165C22⋊Q8—261no—
1166C22⋊Q8—261no—
1167C22⋊Q8—261no—
1168C22⋊Q8—261no—
1169C22⋊Q8—261no—
1170C22⋊Q8—261no—
1171C22⋊Q8—261no—
1172C22⋊Q8—261no—
1173C22⋊Q8C22×D1311yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—131no—
1177#121—131no—
1178#121—131no—
1179#121—131no—
1180#121—131no—
1181#121—261no—
1182#121—261no—
1183#121—261no—
1184#121—261no—
1185#121—261no—
1186#121—261no—
1187#121—261no—
1188#121—261no—
1189#121—261no—
1190#121—261no—
1191#121C22×D1311yescharacteristic
1192#121C22×D1311yescharacteristic
1193#121C22×D1311yescharacteristic
1194#120—21no—
1195#120—261no—
1196#120—261no—
1197#120—261no—
1198#120—261no—
1199#120—261no—
1200#120—261no—
1201#120—261no—
1202C4×Q8—131no—
1203C4×Q8—131no—
1204C4×Q8—131no—
1205C4×Q8—131no—
1206C4×Q8—131no—
1207C4×Q8—131no—
1208C4×D4—21no—
1209C4×D4—131no—
1210C4×D4—131no—
1211C4×D4—131no—
1212C4×D4—131no—
1213C4×D4—131no—
1214C4×D4—131no—
1215C4×D4—131no—
1216C4×D4—131no—
1217C4×D4—131no—
1218C4×D4—131no—
1219C4×D4—131no—
1220C4×D4—131no—
1221C4×D4—131no—
1222C4×D4—131no—
1223C4×D4—131no—
1224C4×D4—131no—
1225C4×D4—131no—
1226C4×D4—131no—
1227C4×D4—131no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4—261no—
1231C4×D4—261no—
1232C4×D4—261no—
1233C4×D4—261no—
1234C4×D4—261no—
1235C4×D4—261no—
1236C4×D4—261no—
1237C4×D4—261no—
1238C4×D4—261no—
1239C4×D4—261no—
1240C4×D4—261no—
1241C4×D4—261no—
1242C4×D4—261no—
1243C4×D4—261no—
1244C4×D4—261no—
1245C4×D4—261no—
1246C4×D4—261no—
1247C4×D4—261no—
1248C4×D4—261no—
1249C4×D4—261no—
1250C4×D4—261no—
1251C4×D4—261no—
1252C4×D4—261no—
1253C4×D4C22×D1311yescharacteristic
1254C4×D4C22×D1311yescharacteristic
1255C4×D4C22×D1311yescharacteristic
1256#117—131no—
1257#117—131no—
1258#117—131no—
1259#117—131no—
1260#117—261no—
1261#117—261no—
1262#117—261no—
1263#117—261no—
1264#117—261no—
1265#117—261no—
1266#117C22×D1311yescharacteristic
1267C2×C4⋊C4—131no—
1268C2×C4⋊C4—131no—
1269C2×C4⋊C4—131no—
1270C2×C4⋊C4—261no—
1271C2×C4⋊C4—261no—
1272C2×C4⋊C4C22×D1311yescharacteristic
1273C2×C22⋊C4—21no—
1274C2×C22⋊C4—261no—
1275C2×C22⋊C4—261no—
1276C2×C22⋊C4—261no—
1277C2×C22⋊C4—261no—
1278C2×C22⋊C4—261no—
1279C2×C22⋊C4—261no—
1280C2×C22⋊C4—261no—
1281C2×C42—131no—
1282C2×C42—131no—
1283C2×C42—131no—
1284C2×C42—261no—
1285C2×C42—261no—
1286#107—131no—
1287#107—131no—
1288#107—131no—
1289#107—131no—
1290#107—131no—
1291#107—131no—
1292#107—131no—
1293#107—131no—
1294#107C22×D1311yescharacteristic
1295#107C22×D1311yescharacteristic
1296#106—131no—
1297#106—131no—
1298#106—131no—
1299#106—131no—
1300#106—131no—
1301#106C22×D1311yescharacteristic
1302C4⋊C8—131no—
1303C4⋊C8—131no—
1304C4⋊C8—131no—
1305C4⋊C8—131no—
1306C4⋊C8—131no—
1307C4⋊C8C22×D1311yescharacteristic
1308#103—131no—
1309#103—131no—
1310#103—131no—
1311#103—131no—
1312#103—131no—
1313#103C22×D1311yescharacteristic
1314#103C22×D1311yescharacteristic
1315#103C22×D1311yescharacteristic
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102—131no—
1320#102—131no—
1321#102—131no—
1322#102—131no—
1323#102—131no—
1324#102—131no—
1325#102—131no—
1326#102—131no—
1327#102—131no—
1328#102—131no—
1329#102—131no—
1330#102—131no—
1331#102—131no—
1332#102—131no—
1333#102C22×D1311yescharacteristic
1334#102C22×D1311yescharacteristic
1335#102C22×D1311yescharacteristic
1336#102C22×D1311yescharacteristic
1337#102C22×D1311yescharacteristic
1338#102C22×D1311yescharacteristic
1339#102C22×D1311yescharacteristic
1340C22⋊C8—131no—
1341C22⋊C8—131no—
1342C22⋊C8—131no—
1343C22⋊C8—131no—
1344C22⋊C8C22×D1311yescharacteristic
1345C22⋊C8C22×D1311yescharacteristic
1346#97—131no—
1347#97—131no—
1348#97—131no—
1349#97—131no—
1350C4×C8—131no—
1351C4×C8—131no—
1352C4×C8—131no—
1353C4×C8—131no—
1354C4×C8—131no—
1355C4×C8C22×D1311yescharacteristic
1356C2×C13—41no—
1357C2×C13—42no—
1358C2×C13—41no—
1359C2×C13—81no—
1360C2×C13—81no—
1361C2×C13D4×#4111yescharacteristic
1362C2×C13C2×#57511yescharacteristic
1363C2×C13C2×#57611yescharacteristic
1364D13—22no—
1365D13—42no—
1366D13—81no—
1367D13—81no—
1368C24—21no—
1369C24—261no—
1370C24—261no—
1371C24—261no—
1372#41—22no—
1373#41—41no—
1374#41—262no—
1375#41—521no—
1376#41—522no—
1377#41—1042no—
1378#41—1042no—
1379C2×Q8—131no—
1380C2×Q8—131no—
1381C2×Q8—261no—
1382C2×Q8—261no—
1383C2×Q8C23×D1311yescharacteristic
1384C2×D4—22no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—131no—
1392C2×D4—131no—
1393C2×D4—131no—
1394C2×D4—131no—
1395C2×D4—131no—
1396C2×D4—262no—
1397C2×D4—261no—
1398C2×D4—261no—
1399C2×D4—261no—
1400C2×D4—261no—
1401C2×D4—261no—
1402C2×D4—261no—
1403C2×D4—261no—
1404C2×D4—262no—
1405C2×D4—262no—
1406C2×D4—261no—
1407C2×D4—261no—
1408C2×D4—261no—
1409C2×D4—261no—
1410C2×D4—261no—
1411C2×D4—261no—
1412C2×D4—521no—
1413C2×D4—521no—
1414C2×D4—521no—
1415C2×D4—524no—
1416C2×D4—524no—
1417C2×D4D4×D1311yescharacteristic
1418C2×D4C23×D1311yescharacteristic
1419C2×D4C23×D1311yescharacteristic
1420C2×D4C23×D1311yescharacteristic
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—131no—
1426C22×C4—131no—
1427C22×C4—131no—
1428C22×C4—131no—
1429C22×C4—131no—
1430C22×C4—131no—
1431C22×C4—131no—
1432C22×C4—261no—
1433C22×C4—261no—
1434C22×C4—261no—
1435C22×C4—261no—
1436C22×C4—261no—
1437C22×C4—261no—
1438C22×C4—261no—
1439C22×C4—261no—
1440C22×C4—261no—
1441C22×C4—261no—
1442C22×C4—261no—
1443C22×C4—261no—
1444C22×C4—261no—
1445C22×C4—261no—
1446C22×C4—261no—
1447C22×C4—261no—
1448C22×C4—261no—
1449C22×C4—261no—
1450C22×C4—1042no—
1451C22×C4—1042no—
1452C22×C4—1042no—
1453C22×C4—1042no—
1454C22×C4C23×D1311yescharacteristic
1455C22×C4C23×D1311yescharacteristic
1456Q16—521no—
1457SD16—41no—
1458SD16—262no—
1459SD16—262no—
1460SD16—262no—
1461SD16—262no—
1462SD16—521no—
1463D8—22no—
1464D8—41no—
1465D8—134no—
1466D8—262no—
1467D8—262no—
1468D8—262no—
1469D8—262no—
1470D8—521no—
1471D8—521no—
1472M16—41no—
1473M16—41no—
1474M16—262no—
1475M16—262no—
1476C2×C8—131no—
1477C2×C8—131no—
1478C2×C8—131no—
1479C2×C8—131no—
1480C2×C8—262no—
1481C2×C8—521no—
1482C2×C8C23×D1311yescharacteristic
1483C2×C8C23×D1311yescharacteristic
1484C2×C8C23×D1311yescharacteristic
1485C2×C8C23×D1311yescharacteristic
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—131no—
1491C4⋊C4—131no—
1492C4⋊C4—131no—
1493C4⋊C4—131no—
1494C4⋊C4—131no—
1495C4⋊C4—131no—
1496C4⋊C4—131no—
1497C4⋊C4—131no—
1498C4⋊C4—131no—
1499C4⋊C4—261no—
1500C4⋊C4—261no—
1501C4⋊C4—261no—
1502C4⋊C4—261no—
1503C4⋊C4—261no—
1504C4⋊C4—261no—
1505C4⋊C4—261no—
1506C4⋊C4—261no—
1507C4⋊C4—261no—
1508C4⋊C4—261no—
1509C4⋊C4—261no—
1510C4⋊C4—261no—
1511C4⋊C4—261no—
1512C4⋊C4—261no—
1513C4⋊C4—261no—
1514C4⋊C4—261no—
1515C4⋊C4—261no—
1516C4⋊C4—261no—
1517C4⋊C4D4×D1311yescharacteristic
1518C4⋊C4C23×D1311yescharacteristic
1519C4⋊C4C23×D1311yescharacteristic
1520C4⋊C4C23×D1311yescharacteristic
1521C4⋊C4C23×D1311yescharacteristic
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—131no—
1532C22⋊C4—131no—
1533C22⋊C4—131no—
1534C22⋊C4—131no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4—261no—
1543C22⋊C4—261no—
1544C22⋊C4—261no—
1545C22⋊C4—261no—
1546C22⋊C4—261no—
1547C22⋊C4—261no—
1548C22⋊C4—261no—
1549C22⋊C4—261no—
1550C22⋊C4—261no—
1551C22⋊C4—261no—
1552C22⋊C4—261no—
1553C22⋊C4—261no—
1554C22⋊C4—261no—
1555C22⋊C4—261no—
1556C22⋊C4—261no—
1557C22⋊C4—261no—
1558C22⋊C4—261no—
1559C22⋊C4—261no—
1560C22⋊C4—261no—
1561C22⋊C4—261no—
1562C22⋊C4—261no—
1563C22⋊C4—261no—
1564C22⋊C4D4×D1311yescharacteristic
1565C22⋊C4D4×D1311yescharacteristic
1566C42—21no—
1567C42—131no—
1568C42—131no—
1569C42—131no—
1570C42—131no—
1571C42—131no—
1572C42—131no—
1573C42—131no—
1574C42—131no—
1575C42—131no—
1576C42—261no—
1577C42—261no—
1578C42—261no—
1579C42—261no—
1580C42—261no—
1581C42C23×D1311yescharacteristic
1582C13#6144411yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—81no—
1589C23—131no—
1590C23—261no—
1591C23—261no—
1592C23—261no—
1593C23—522no—
1594C23—522no—
1595C23—522no—
1596C23—522no—
1597C23—522no—
1598C23—522no—
1599C23—1041no—
1600C23—1041no—
1601C23—1041no—
1602C23C2×D4×D1311yescharacteristic
1603C23C2×D4×D1311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—261no—
1607Q8—261no—
1608Q8—521no—
1609Q8—1041no—
1610Q8—1041no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—41no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—132no—
1623D4—262no—
1624D4—262no—
1625D4—261no—
1626D4—261no—
1627D4—261no—
1628D4—261no—
1629D4—261no—
1630D4—522no—
1631D4—522no—
1632D4—522no—
1633D4—522no—
1634D4—522no—
1635D4—522no—
1636D4—522no—
1637D4—522no—
1638D4—522no—
1639D4—1041no—
1640D4—1041no—
1641D4—1041no—
1642D4—1041no—
1643D4#41×D1312yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—42no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—131no—
1658C2×C4—131no—
1659C2×C4—131no—
1660C2×C4—131no—
1661C2×C4—131no—
1662C2×C4—131no—
1663C2×C4—131no—
1664C2×C4—262no—
1665C2×C4—262no—
1666C2×C4—262no—
1667C2×C4—262no—
1668C2×C4—261no—
1669C2×C4—261no—
1670C2×C4—261no—
1671C2×C4—261no—
1672C2×C4—261no—
1673C2×C4—261no—
1674C2×C4—261no—
1675C2×C4—522no—
1676C2×C4—522no—
1677C2×C4—522no—
1678C2×C4—522no—
1679C2×C4—522no—
1680C2×C4—522no—
1681C2×C4—522no—
1682C2×C4—522no—
1683C2×C4—521no—
1684C2×C4—521no—
1685C2×C4—522no—
1686C2×C4—1041no—
1687C2×C4—1041no—
1688C2×C4—1041no—
1689C2×C4—1041no—
1690C2×C4—1041no—
1691C2×C4—1041no—
1692C2×C4—1041no—
1693C2×C4—1041no—
1694C2×C4—1041no—
1695C2×C4C2×D4×D1311yescharacteristic
1696C2×C4C2×D4×D1311yescharacteristic
1697C2×C4C2×D4×D1311yescharacteristic
1698C2×C4C2×D4×D1311yescharacteristic
1699C2×C4C24×D1311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—132no—
1705C8—261no—
1706C8—261no—
1707C8—261no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—84no—
1724C22—132no—
1725C22—261no—
1726C22—261no—
1727C22—262no—
1728C22—521no—
1729C22—521no—
1730C22—521no—
1731C22—521no—
1732C22—521no—
1733C22—521no—
1734C22—521no—
1735C22—521no—
1736C22—1044no—
1737C22—1044no—
1738C22—1044no—
1739C22C22×D4×D1311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—132no—
1750C4—261no—
1751C4—261no—
1752C4—261no—
1753C4—261no—
1754C4—261no—
1755C4—261no—
1756C4—521no—
1757C4—521no—
1758C4—521no—
1759C4—521no—
1760C4—521no—
1761C4C2×#41×D1311yescharacteristic
1762C4#1171965011yescharacteristic
1763C2—41no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—262no—
1769C2—522no—
1770C2—1041no—
1771C2—1041no—
1772C2#1312832011yescharacteristic
1773C2D13×#57511yescharacteristic
1774C2D13×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3322C2
socleC22×C13C23×D4
hypercenter#3322D13
hypocenterC13#61444
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. #13128441C2semidirect
3. #13127924C2semidirect
4. #13127794C2semidirect
5. #13127595C2semidirect
6. #13127585C2semidirect
7. #13127436C2semidirect
8. #13127324C2semidirect
9. #13127314C2semidirect
10. #13127039C2semidirect
11. #13126978C2semidirect
12. #13126972C2semidirect
13. #13126918C2semidirect
14. #13126912C2semidirect
15. #13126443C2semidirect
16. #13126319C2semidirect
17. #13126314C2semidirect
18. #13125426C2semidirect
19. #13125424C2semidirect
20. #13125405C2semidirect
21. #13124888C2semidirect
22. #13124882C2semidirect
23. #13124857C2semidirect
24. #13124847C2semidirect
25. #13124833C2semidirect
26. #13124831C2semidirect
27. #13123799C2semidirect
28. #13123649C2semidirect
29. #13123640C2semidirect
30. C4×D8×D13C2semidirect
31. C13×#3322C2semidirect
32. C13×#553C22semidirect
33. C13×#546C22semidirect
35. #41×Dic13C22semidirect
37. D4×C22⋊D13C22semidirect
38. C2×D4×Dic13C22semidirect
43. #11719396C22semidirect
44. #11719395C22semidirect
45. #11719386C22semidirect
46. #11719385C22semidirect
51. #11719340C22semidirect
52. #11719329C22semidirect
56. #11719314C22semidirect
60. #11719305C22semidirect
61. #11719301C22semidirect
62. #11719301C22semidirect
65. #11719270C22semidirect
66. #11719264C22semidirect
68. #11719255C22semidirect
70. C4×D4×D13C22semidirect
71. C4×D4×D13C22semidirect
72. #11719244C22semidirect
75. #11719227C22semidirect
76. #11719216C22semidirect
77. C2×#88147C22semidirect
80. C13×#488C22semidirect
81. C13×#485C22semidirect
82. C13×#480C22semidirect
83. C13×#478C22semidirect
84. C13×#469C22semidirect
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. #11718837C22semidirect
96. #11718830C22semidirect
97. #11718827C22semidirect
98. SD16×Dic13C22semidirect
100. #11718815C22semidirect
101. #11718814C22semidirect
103. #11718811C22semidirect
104. D8×Dic13C22semidirect
105. D8×Dic13C22semidirect
106. #11718796C22semidirect
107. #11718795C22semidirect
108. #11718794C22semidirect
109. #11718792C22semidirect
110. #11718788C22semidirect
111. #11718788C22semidirect
112. M16×Dic13C22semidirect
113. M16×Dic13C22semidirect
114. #11718727C22semidirect
115. #11718725C22semidirect
116. #11718720C22semidirect
117. #11718718C22semidirect
118. #11718710C22semidirect
119. #11718708C22semidirect
120. #11718703C22semidirect
121. #11718700C22semidirect
122. #11718700C22semidirect
123. #11718697C22semidirect
124. #11718696C22semidirect
125. #11718694C22semidirect
126. #11718677C22semidirect
128. C4×#6104C22semidirect
129. #11718673C22semidirect
130. #11718670C22semidirect
131. #11718664C22semidirect
132. #11718656C22semidirect
133. #11718628C22semidirect
134. #11718625C22semidirect
135. #11718551C22semidirect
136. #11718551C22semidirect
137. #11718545C22semidirect
138. D13×#107C22semidirect
139. #11718538C22semidirect
140. #11718537C22semidirect
141. #11718533C22semidirect
142. #11718533C22semidirect
143. #11718532C22semidirect
144. #11718524C22semidirect
145. #11718517C22semidirect
146. #11718513C22semidirect
147. #11718508C22semidirect
148. #11718505C22semidirect
149. #11718494C22semidirect
150. #11718492C22semidirect
151. #11718480C22semidirect
152. #11718478C22semidirect
153. #11718478C22semidirect
154. #11718474C22semidirect
155. #11718470C22semidirect
156. #11718468C22semidirect
157. #11718459C22semidirect
158. #11718457C22semidirect
159. #11718456C22semidirect
160. #11718451C22semidirect
161. #11718449C22semidirect
162. #11718449C22semidirect
164. #11718447C22semidirect
167. #11718446C22semidirect
168. #11718446C22semidirect
169. #11718439C22semidirect
170. #11718438C22semidirect
171. #11718437C22semidirect
174. D13×#102C22semidirect
175. D13×#102C22semidirect
176. #11718426C22semidirect
177. #11718425C22semidirect
178. #11718425C22semidirect
179. #11718424C22semidirect
180. #11718420C22semidirect
181. #11718420C22semidirect
182. #11718419C22semidirect
183. #11718419C22semidirect
184. #11718418C22semidirect
185. #11718418C22semidirect
187. #11718417C22semidirect
188. #11718417C22semidirect
189. #11718417C22semidirect
190. #11718417C22semidirect
191. #11718397C22semidirect
193. #11718393C22semidirect
194. #11718389C22semidirect
195. #11718389C22semidirect
196. #11718384C22semidirect
197. #11718379C22semidirect
198. #11718379C22semidirect
199. #11718358C22semidirect
200. C4×D104C22semidirect
201. C4×C8×D13C22semidirect
202. #11718340C22semidirect
623. #6104#41semidirect
706. #3322D13semidirect
866. #553C2×D13semidirect
876. #546C2×D13semidirect
911. #488C2×D13semidirect
913. #485C2×D13semidirect
923. #480C2×D13semidirect
931. #478C2×D13semidirect
939. #469C2×D13semidirect
943. #468C2×D13semidirect
955. #463C2×D13semidirect
971. #447C2×D13semidirect
1001. C4×D8C2×D13semidirect
1003. #436C2×D13semidirect
1015. #418C2×D13semidirect
1017. #417C2×D13semidirect
1582. C13#61444semidirect

Maximal subgroups

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

subgroupindex
#131284432
#131284412
#131279242
#131277942
#131275952
#131275852
#131274362
#131273242
#131273142
#131270392
#131269782
#131269722
#131269182
#131269122
#131264432
#131263192
#131263142
#131254262
#131254242
#131254052
#131248882
#131248822
#131248572
#131248472
#131248332
#131248312
#131237992
#131236492
#131236402
C4×D8×D132
C13×#33222
#6144413