Finite Group Databasebeta

← #16744833

Subgroups — #16744833

Order 3328.

2178 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128443C211yesmaximal, characteristic, complemented
2#13128323C211yesmaximal, characteristic, complemented
3#13127879C211yesmaximal, characteristic, complemented
4#13127732C211yesmaximal, characteristic, complemented
5#13127631C211yesmaximal, characteristic, complemented
6#13127546C211yesmaximal, characteristic, complemented
7#13127307C211yesmaximal, characteristic, complemented
8#13127189C211yesmaximal, characteristic, complemented
9#13126980C211yesmaximal, characteristic, complemented
10#13126971C211yesmaximal, characteristic, complemented
11#13126800C211yesmaximal, characteristic, complemented
12#13126791C211yesmaximal, characteristic, complemented
13#13126658C211yesmaximal, characteristic, complemented
14#13126647C211yesmaximal, characteristic, complemented
15#13126510C211yesmaximal, characteristic, complemented
16#13126323C211yesmaximal, characteristic, complemented
17#13126321C211yesmaximal, characteristic, complemented
18#13125569C211yesmaximal, characteristic, complemented
19#13125536C211yesmaximal, characteristic, complemented
20#13125529C211yesmaximal, characteristic, complemented
21#13124982C211yesmaximal, characteristic, complemented
22#13124979C211yesmaximal, characteristic, complemented
23#13124971C211yesmaximal, characteristic, complemented
24#13124929C211yesmaximal, characteristic, complemented
25#13124924C211yesmaximal, characteristic, complemented
26#13124924C211yesmaximal, characteristic, complemented
27#13123846C211yesmaximal, characteristic, complemented
28#13123643C211yesmaximal, characteristic, complemented
29C2×#11718530C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C13×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D13—21no—
33C13×#553C2211yescharacteristic, complemented
34C13×#547C2211yescharacteristic, complemented
35#11719534—21no—
36C2×D8×D13C2211yescharacteristic
37C2×#88162C2211yescharacteristic
38C22×D104C2211yescharacteristic
39#11719432C2211yescharacteristic, complemented
40#11719430C2211yescharacteristic, complemented
41#11719411—21no—
42#11719410—21no—
43#11719396C2211yescharacteristic, complemented
44#11719395C2211yescharacteristic, complemented
45#11719366—21no—
46#11719361—21no—
47#11719361—21no—
48#11719361—21no—
49#11719359—21no—
50#11719359—21no—
51#11719338—21no—
52#11719332—21no—
53#11719317C2211yescharacteristic, complemented
54#11719315—21no—
55#11719314C2211yescharacteristic
56#11719314C2211yescharacteristic, complemented
57#11719314C2211yescharacteristic, complemented
58#11719311—21no—
59#11719305C2211yescharacteristic, complemented
60#11719301C2211yescharacteristic, complemented
61#11719301C2211yescharacteristic, complemented
62#11719301C2211yescharacteristic, complemented
63#11719264C2211yescharacteristic, complemented
64#11719261—21no—
65#11719258C2211yescharacteristic, complemented
66#11719255C2211yescharacteristic, complemented
67D4×D52C2211yescharacteristic, complemented
68C4×D4×D13—21no—
69C4×D4×D13C2211yescharacteristic, complemented
70C4×D4×D13C2211yescharacteristic, complemented
71C4×#6129C2211yescharacteristic
72#11719235C2211yescharacteristic, complemented
73#11719227C2211yescharacteristic, complemented
74#11719216C2211yescharacteristic, complemented
75#11719212C2211yescharacteristic
76#11719212C2211yescharacteristic, complemented
77C2×#88147C2211yescharacteristic, complemented
78C2×#88147C2211yescharacteristic, complemented
79C2×#88147C2211yescharacteristic, complemented
80C13×#501C2211yescharacteristic, complemented
81C13×#482C2211yescharacteristic, complemented
82C13×#481C2211yescharacteristic, complemented
83C13×#481C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#476C2211yescharacteristic, complemented
87C13×#469C2211yescharacteristic, complemented
88C13×#466C2211yescharacteristic, complemented
89C13×#442C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic, complemented
91C13×#428C2211yescharacteristic, complemented
92C2×C13×#106C2211yescharacteristic, complemented
93#11718815C2211yescharacteristic, complemented
94#11718813C2211yescharacteristic, complemented
95#11718812C2211yescharacteristic, complemented
96#11718796C2211yescharacteristic, complemented
97#11718788C2211yescharacteristic, complemented
98M16×Dic13C2211yescharacteristic, complemented
99#11718775C2211yescharacteristic, complemented
100C8×C22⋊D13C2211yescharacteristic, complemented
101C2×#88055C2211yescharacteristic, complemented
102#11718750C2211yescharacteristic, complemented
103#11718745C2211yescharacteristic, complemented
104#11718728C2211yescharacteristic, complemented
105#11718727C2211yescharacteristic, complemented
106#11718702C2211yescharacteristic, complemented
107#11718700C2211yescharacteristic, complemented
108#11718700C2211yescharacteristic, complemented
109#11718699C2211yescharacteristic, complemented
110#11718698C2211yescharacteristic, complemented
111#11718697C2211yescharacteristic
112#11718697C2211yescharacteristic, complemented
113#11718697C2211yescharacteristic, complemented
114#11718677C2211yescharacteristic, complemented
115#11718676C2211yescharacteristic, complemented
116#11718675C2211yescharacteristic, complemented
117#11718675C2211yescharacteristic, complemented
118#11718672C2211yescharacteristic, complemented
119#11718664C2211yescharacteristic, complemented
120#11718662C2211yescharacteristic, complemented
121#11718632C2211yescharacteristic, complemented
122#11718629C2211yescharacteristic, complemented
123#11718629C2211yescharacteristic, complemented
124#11718627C2211yescharacteristic, complemented
125C2×#88049C2211yescharacteristic, complemented
126C2×#88049C2211yescharacteristic, complemented
127#11718552C2211yescharacteristic, complemented
128#11718552C2211yescharacteristic, complemented
129#11718551C2211yescharacteristic, complemented
130#11718550C2211yescharacteristic, complemented
131#11718550C2211yescharacteristic, complemented
132#11718550C2211yescharacteristic, complemented
133#11718544C2211yescharacteristic, complemented
134#11718544C2211yescharacteristic, complemented
135#11718543C2211yescharacteristic, complemented
136#11718537C2211yescharacteristic, complemented
137#11718533C2211yescharacteristic
138#11718533C2211yescharacteristic, complemented
139#11718531C2211yescharacteristic, complemented
140#11718531C2211yescharacteristic, complemented
141#11718531C2211yescharacteristic, complemented
142#11718531C2211yescharacteristic, complemented
143#11718530C2211yescharacteristic
144#11718530C2211yescharacteristic
145#11718530C2211yescharacteristic, complemented
146#11718530C2211yescharacteristic, complemented
147#11718530C2211yescharacteristic, complemented
148#11718530C2211yescharacteristic, complemented
149#11718530C2211yescharacteristic, complemented
150#11718530C2211yescharacteristic, complemented
151#11718530C2211yescharacteristic, complemented
152#11718530C2211yescharacteristic, complemented
153#11718525C2211yescharacteristic, complemented
154#11718525C2211yescharacteristic, complemented
155#11718524C2211yescharacteristic, complemented
156#11718524C2211yescharacteristic, complemented
157#11718523C2211yescharacteristic, complemented
158D13×#106C2211yescharacteristic, complemented
159#11718516C2211yescharacteristic, complemented
160#11718515C2211yescharacteristic, complemented
161#11718513C2211yescharacteristic, complemented
162#11718513C2211yescharacteristic, complemented
163#11718505C2211yescharacteristic, complemented
164#11718504C2211yescharacteristic, complemented
165#11718496C2211yescharacteristic, complemented
166#11718489C2211yescharacteristic, complemented
167#11718448C2211yescharacteristic, complemented
168#11718448C2211yescharacteristic, complemented
169#11718447C2211yescharacteristic
170#11718447C2211yescharacteristic, complemented
171#11718447C2211yescharacteristic, complemented
172#11718447C2211yescharacteristic, complemented
173#11718447C2211yescharacteristic, complemented
174#11718446C2211yescharacteristic, complemented
175#11718446C2211yescharacteristic, complemented
176#11718446C2211yescharacteristic, complemented
177#11718446C2211yescharacteristic, complemented
178#11718446C2211yescharacteristic, complemented
179#11718437C2211yescharacteristic, complemented
180#11718434C2211yescharacteristic
181#11718434C2211yescharacteristic, complemented
182#11718434C2211yescharacteristic, complemented
183D13×#102C2211yescharacteristic, complemented
184D13×#102C2211yescharacteristic, complemented
185#11718426C2211yescharacteristic, complemented
186#11718425C2211yescharacteristic, complemented
187#11718423C2211yescharacteristic, complemented
188#11718421C2211yescharacteristic, complemented
189#11718421C2211yescharacteristic, complemented
190#11718418C2211yescharacteristic, complemented
191#11718395C2211yescharacteristic, complemented
192#11718393C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718392C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718386C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718373C2211yescharacteristic, complemented
200#11718372C2211yescharacteristic
201D13×#97C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204#41×D13—48no—
205C2×#6131—21no—
206C2×Q8×D13—21no—
207C2×#6129—21no—
208C2×#6129—21no—
209C2×#6129—21no—
210C2×#6129D411yescharacteristic
211C2×D4×D13—21no—
212C2×D4×D13—21no—
213C2×D4×D13—21no—
214C2×D4×D13—21no—
215C2×D4×D13C2311yescharacteristic
216C2×D4×D13C2311yescharacteristic
217C2×#6127—21no—
218C2×#6127—21no—
219C2×#6127—21no—
220C2×#6127C2311yescharacteristic
221C22×D52C2311yescharacteristic
222C22×D52C2311yescharacteristic
223C22×D52C2311yescharacteristic
224C22×C4×D13—21no—
225C22×C4×D13—21no—
226C22×C4×D13—21no—
227C22×C4×D13—21no—
228C22×C4×D13—21no—
229C2×C13×D8C2311yescharacteristic
230C2×C13×M16C2311yescharacteristic
231C22×C8×C13C2311yescharacteristic
232C13×C4⋊Q8C2311yescharacteristic
233C13×#126—21no—
234C13×#125C2311yescharacteristic
235C13×#123—21no—
236C13×#123—21no—
237C13×#123—21no—
238C13×C22⋊Q8—21no—
239C13×#121—21no—
240C13×#121C2311yescharacteristic
241C13×#121C2311yescharacteristic
242C13×#121C2311yescharacteristic
243C13×#121C2311yescharacteristic
244C4×D4×C13—21no—
245C4×D4×C13C2311yescharacteristic
246C4×D4×C13C2311yescharacteristic
247C4×D4×C13C2311yescharacteristic
248C13×#117C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×C4⋊C4C2311yescharacteristic
252#88201—21no—
253#88200—21no—
254#88194C2311yescharacteristic
255#88194C2311yescharacteristic
256#88194C2311yescharacteristic
257#88193—21no—
258#88193—21no—
259#88193—21no—
260#88192—21no—
261#88191—21no—
262#88191—21no—
263#88191—21no—
264#88191—21no—
265#88191—21no—
266#88190C2311yescharacteristic
267#88189—21no—
268D4×Dic13—21no—
269D4×Dic13D411yescharacteristic
270D4×Dic13C2311yescharacteristic
271D4×Dic13C2311yescharacteristic
272C2×#6105C2311yescharacteristic
273C2×#6104C2311yescharacteristic
274C2×#6104C2311yescharacteristic
275C2×#6104C2311yescharacteristic
276C2×#6104C2311yescharacteristic
277C2×#6104C2311yescharacteristic
278#88184—21no—
279#88184C2311yescharacteristic
280#88184C2311yescharacteristic
281#88184C2311yescharacteristic
282#88183—21no—
283#88183—21no—
284#88183—21no—
285C4×C22⋊D13—21no—
286C4×C22⋊D13—21no—
287C4×C22⋊D13—21no—
288C4×C22⋊D13—21no—
289C4×C22⋊D13C2311yescharacteristic
290C4×C22⋊D13C2311yescharacteristic
291C2×#6103—21no—
292C2×#6103—21no—
293C2×#6103—21no—
294#88178—21no—
295#88178C2311yescharacteristic
296C2×C4×Dic13C2311yescharacteristic
297C2×C4×Dic13C2311yescharacteristic
298C2×#6099C2311yescharacteristic
299C22×#1055C2311yescharacteristic
300D8×D13—24no—
301#88162—24no—
302C2×D104—24no—
303C2×D104C2311yescharacteristic
304C2×D104C2311yescharacteristic
305C2×D104C2311yescharacteristic
306C2×D104C2311yescharacteristic
307C2×D104C2311yescharacteristic
308C2×D104C2311yescharacteristic
309C2×#6095C2311yescharacteristic
310C2×#6095C2311yescharacteristic
311C2×#6095C2311yescharacteristic
312C2×C8×D13C2311yescharacteristic
313C2×C8×D13C2311yescharacteristic
314#88152—21no—
315#88151—21no—
316#88151C2311yescharacteristic
317#88150—21no—
318#88150—21no—
319#88150—21no—
320#88150—21no—
321#88150—21no—
322#88150—21no—
323#88150—21no—
324#88149—21no—
325#88149—21no—
326#88149C2311yescharacteristic
327#88149C2311yescharacteristic
328#88149C2311yescharacteristic
329#88148—21no—
330#88148—21no—
331#88148—21no—
332#88148—21no—
333#88147—21no—
334#88147—21no—
335#88147—21no—
336#88147—21no—
337#88147—21no—
338#88147—21no—
339#88147—21no—
340#88147—21no—
341#88147C2311yescharacteristic
342#88147C2311yescharacteristic
343#88147C2311yescharacteristic
344#88147C2311yescharacteristic
345#88147C2311yescharacteristic
346#88147C2311yescharacteristic
347#88147C2311yescharacteristic
348#88147C2311yescharacteristic
349#88147C2311yescharacteristic
350#88147C2311yescharacteristic
351#88147C2311yescharacteristic
352#88147C2311yescharacteristic
353#88146—21no—
354#88146D411yescharacteristic
355C4⋊C4×D13—21no—
356C4⋊C4×D13C2311yescharacteristic
357C4⋊C4×D13C2311yescharacteristic
358#88144C2311yescharacteristic
359#88143—21no—
360#88142C2311yescharacteristic
361#88142C2311yescharacteristic
362#88142C2311yescharacteristic
363#88141D411yescharacteristic
364#88141C2311yescharacteristic
365#88141C2311yescharacteristic
366#88139—21no—
367#88139—21no—
368#88139—21no—
369#88139—21no—
370#88138—21no—
371#88138—21no—
372#88138—21no—
373#88138—21no—
374#88138—21no—
375#88138—21no—
376#88138—21no—
377#88137—21no—
378#88137—21no—
379#88137—21no—
380#88136—21no—
381#88136—21no—
382#88136—21no—
383#88136—21no—
384#88136—21no—
385#88135—21no—
386#88135—21no—
387#88135—21no—
388#88135—21no—
389#88135—21no—
390#88135—21no—
391#88135—21no—
392#88135D411yescharacteristic
393#88135D411yescharacteristic
394C22⋊C4×D13—21no—
395C22⋊C4×D13—21no—
396C22⋊C4×D13—21no—
397C22⋊C4×D13—21no—
398#88133—21no—
399#88131—21no—
400#88131D411yescharacteristic
401#88131D411yescharacteristic
402#88130—21no—
403#88129C2311yescharacteristic
404#88128C2311yescharacteristic
405C4×D52—21no—
406C4×D52C2311yescharacteristic
407C4×D52C2311yescharacteristic
408#88126—21no—
409C42×D13—21no—
410C42×D13C2311yescharacteristic
411C4×Dic26C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#107C2311yescharacteristic
414C13×#107C2311yescharacteristic
415C13×#106C2311yescharacteristic
416C13×#106C2311yescharacteristic
417C13×#106C2311yescharacteristic
418C13×#106C2311yescharacteristic
419C13×#106C2311yescharacteristic
420C13×#106C2311yescharacteristic
421C13×C4⋊C8C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×#102C2311yescharacteristic
427C13×#102C2311yescharacteristic
428C13×C22⋊C8C2311yescharacteristic
429C13×C22⋊C8C2311yescharacteristic
430C13×#97C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433C22⋊#1055C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435#88061C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88060C2311yescharacteristic
441#88060C2311yescharacteristic
442#88057C2311yescharacteristic
443#88056C2311yescharacteristic
444#88055C2311yescharacteristic
445#88055C2311yescharacteristic
446#88055C2311yescharacteristic
447#88055C2311yescharacteristic
448#88055C2311yescharacteristic
449#88055C2311yescharacteristic
450#88054C2311yescharacteristic
451#88054C2311yescharacteristic
452#88054C2311yescharacteristic
453#88054C2311yescharacteristic
454C8×Dic13C2311yescharacteristic
455C8×Dic13C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
458#88050C2311yescharacteristic
459#88049C2311yescharacteristic
460#88049C2311yescharacteristic
461#88049C2311yescharacteristic
462#88049C2311yescharacteristic
463#88049C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88049C2311yescharacteristic
471#88049C2311yescharacteristic
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88048C2311yescharacteristic
477#88048C2311yescharacteristic
478#88048C2311yescharacteristic
479#88047C2311yescharacteristic
480C4⋊#1055C2311yescharacteristic
481#88043C2311yescharacteristic
482#61451—131nomaximal, Sylow
483C23×D13—21no—
484C23×D13—21no—
485C23×D13—21no—
486C23×D13—21no—
487C23×D13—21no—
488C13×#41—44no—
489C2×Q8×C13—21no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13C2×D411yescharacteristic
495C2×D4×C13C2411yescharacteristic
496C2×D4×C13C2411yescharacteristic
497C22×C4×C13—21no—
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13C2411yescharacteristic
503C22×C4×C13C2411yescharacteristic
504C2×C22⋊D13—21no—
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⋊D13—21no—
513C2×C22⋊D13—21no—
514C2×C22⋊D13—21no—
515C2×C22⋊D13—21no—
516C2×C22⋊D13C2×D411yescharacteristic
517C2×C22⋊D13C2×D411yescharacteristic
518C22×Dic13—21no—
519C22×Dic13—21no—
520C22×Dic13C2×D411yescharacteristic
521C22×Dic13C2×D411yescharacteristic
522C22×Dic13C2×D411yescharacteristic
523C22×Dic13C2×D411yescharacteristic
524#6131—44no—
525Q8×D13—44no—
526#6129—24no—
527#6129—44no—
528#6129—44no—
529#6129—82no—
530D4×D13—22no—
531D4×D13—22no—
532D4×D13—41no—
533D4×D13—41no—
534D4×D13—44no—
535D4×D13—44no—
536D4×D13—44no—
537D4×D13—44no—
538#6127—22no—
539#6127—41no—
540#6127—44no—
541#6127—44no—
542#6127—44no—
543C2×D52—22no—
544C2×D52—22no—
545C2×D52—22no—
546C2×D52—21no—
547C2×D52—21no—
548C2×D52—21no—
549C2×D52—21no—
550C2×D52—21no—
551C2×D52—21no—
552C2×D52—21no—
553C2×D52—21no—
554C2×D52—41no—
555C2×D52—41no—
556C2×D52—41no—
557C2×D52C2411yescharacteristic
558C2×D52C2411yescharacteristic
559C2×D52C2411yescharacteristic
560C2×D52C2411yescharacteristic
561C2×D52C2411yescharacteristic
562C2×C4×D13—21no—
563C2×C4×D13—21no—
564C2×C4×D13—21no—
565C2×C4×D13—21no—
566C2×C4×D13—21no—
567C2×C4×D13—21no—
568C2×C4×D13—21no—
569C2×C4×D13—21no—
570C2×C4×D13—21no—
571C2×C4×D13—21no—
572C2×C4×D13—21no—
573C2×C4×D13—21no—
574C2×C4×D13—21no—
575C2×C4×D13—21no—
576C2×C4×D13—21no—
577C2×C4×D13—21no—
578C2×C4×D13—21no—
579C2×C4×D13—44no—
580C2×C4×D13—44no—
581C2×C4×D13—44no—
582C2×C4×D13—82no—
583C2×C4×D13—82no—
584C2×C4×D13C2×D411yescharacteristic
585C2×C4×D13C2×D411yescharacteristic
586C2×C4×D13C2411yescharacteristic
587C2×Dic26—21no—
588C2×Dic26—21no—
589C2×Dic26—21no—
590C2×Dic26C2×D411yescharacteristic
591C2×Dic26C2411yescharacteristic
592C13×D8—22no—
593C13×M16—22no—
594C2×C8×C13—22no—
595C2×C8×C13C2411yescharacteristic
596C2×C8×C13C2411yescharacteristic
597C2×C8×C13C2411yescharacteristic
598C2×C8×C13C2411yescharacteristic
599C13×C4⋊C4—21no—
600C13×C4⋊C4—21no—
601C13×C4⋊C4—21no—
602C13×C4⋊C4—21no—
603C13×C4⋊C4—21no—
604C13×C4⋊C4—21no—
605C13×C4⋊C4C2×D411yescharacteristic
606C13×C4⋊C4C2411yescharacteristic
607C13×C4⋊C4C2411yescharacteristic
608C13×C4⋊C4C2411yescharacteristic
609C13×C4⋊C4C2411yescharacteristic
610C13×C4⋊C4C2411yescharacteristic
611C13×C4⋊C4C2411yescharacteristic
612C13×C22⋊C4—21no—
613C13×C22⋊C4—21no—
614C13×C22⋊C4—21no—
615C13×C22⋊C4—21no—
616C13×C22⋊C4—21no—
617C13×C22⋊C4—21no—
618C13×C22⋊C4—21no—
619C13×C22⋊C4C2×D411yescharacteristic
620C13×C22⋊C4C2×D411yescharacteristic
621C42×C13—21no—
622C42×C13C2411yescharacteristic
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626C22⋊Dic13—21no—
627C22⋊Dic13—21no—
628C22⋊Dic13C2×D411yescharacteristic
629C22⋊Dic13C2×D411yescharacteristic
630#6105—41no—
631#6104—22no—
632#6104—22no—
633#6104—41no—
634#6104—41no—
635#6104—41no—
636#6103—21no—
637#6103—21no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650#6103—21no—
651#6103—21no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103—21no—
656#6103—21no—
657#6103—21no—
658#6103—21no—
659#6103C2×D411yescharacteristic
660#6103C2×D411yescharacteristic
661C4⋊Dic13—21no—
662C4⋊Dic13—21no—
663C4⋊Dic13C2×D411yescharacteristic
664C4⋊Dic13C2411yescharacteristic
665C4⋊Dic13C2411yescharacteristic
666#6101—21no—
667#6101—21no—
668#6101—21no—
669#6101—21no—
670#6101—21no—
671#6101—21no—
672#6101—21no—
673#6101—21no—
674#6101—21no—
675#6101C2×D411yescharacteristic
676#6101C2×D411yescharacteristic
677#6101C2×D411yescharacteristic
678#6101C2×D411yescharacteristic
679C4×Dic13—21no—
680C4×Dic13—21no—
681C4×Dic13C2×D411yescharacteristic
682C4×Dic13C2×D411yescharacteristic
683C4×Dic13C2×D411yescharacteristic
684C4×Dic13C2×D411yescharacteristic
685C4×Dic13C2×D411yescharacteristic
686C4×Dic13C2×D411yescharacteristic
687C4×Dic13C2411yescharacteristic
688C4×Dic13C2411yescharacteristic
689C4×Dic13C2411yescharacteristic
690#6099—41no—
691C2×#1055—41no—
692C2×#1055C2411yescharacteristic
693C2×#1055C2411yescharacteristic
694C2×#1055C2411yescharacteristic
695C2×#1055C2411yescharacteristic
696D104—22no—
697D104—22no—
698D104—22no—
699D104—22no—
700D104—41no—
701D104#4114yescomplemented
702#6095—22no—
703#6095—22no—
704#6095—41no—
705C8×D13—22no—
706C8×D13—41no—
707#3481—131no—
708D4×#41—131no—
709#3399—131no—
710#3384—131no—
711#3373—131no—
712#3366—131no—
713#3345—131no—
714#3345D1311yescharacteristic, complemented
715#3335—131no—
716#3318—131no—
717#3318—131no—
718#3306—131no—
719#3306—131no—
720#3295—131no—
721#3294—131no—
722D4×D8—131no—
723#3264—131no—
724#3264—131no—
725#3184—131no—
726#3180—131no—
727#3180—131no—
728#3115—131no—
729#3114—131no—
730#3114—131no—
731#3109—131no—
732#3109—131no—
733#3109—131no—
734#2970—131no—
735C4×AGL(1,ℤ/8)—131no—
736C2×#442—131no—
737C2×#442—131no—
738C23×C13—21no—
739C23×C13—21no—
740C23×C13C22×D411yescharacteristic
741C23×C13C22×D411yescharacteristic
742C22×D13—21no—
743C22×D13—21no—
744C22×D13—21no—
745C22×D13—21no—
746C22×D13—21no—
747C22×D13—42no—
748C22×D13—42no—
749C22×D13—42no—
750C22×D13—42no—
751C22×D13—42no—
752C22×D13—42no—
753C22×D13—42no—
754C22×D13—42no—
755C22×D13—42no—
756C22×D13—42no—
757C22×D13—81no—
758C22×D13—81no—
759C22×D13—81no—
760C22×D13—81no—
761C22×D13—81no—
762C22×D13C22×D411yescharacteristic
763Q8×C13—42no—
764D4×C13—22no—
765D4×C13—21no—
766D4×C13—21no—
767D4×C13—21no—
768D4×C13—21no—
769D4×C13—42no—
770D4×C13—42no—
771D4×C13—42no—
772D4×C13—81no—
773C2×C4×C13—21no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—21no—
777C2×C4×C13—21no—
778C2×C4×C13—21no—
779C2×C4×C13—21no—
780C2×C4×C13—21no—
781C2×C4×C13—21no—
782C2×C4×C13—21no—
783C2×C4×C13—42no—
784C2×C4×C13—42no—
785C2×C4×C13—42no—
786C2×C4×C13—81no—
787C2×C4×C13—81no—
788C2×C4×C13C22×D411yescharacteristic
789C2×C4×C13C22×D411yescharacteristic
790C2×C4×C13C22×D411yescharacteristic
791C2×C4×C13C22×D411yescharacteristic
792C2×C4×C13C2511yescharacteristic
793C22⋊D13—22no—
794C22⋊D13—42no—
795C22⋊D13—42no—
796C22⋊D13—42no—
797C22⋊D13—42no—
798C22⋊D13—42no—
799C22⋊D13—42no—
800C22⋊D13—42no—
801C22⋊D13—42no—
802C22⋊D13—81no—
803C22⋊D13—81no—
804C22⋊D13—81no—
805C22⋊D13—81no—
806C22⋊D13AGL(1,ℤ/8)14yescomplemented
807C2×Dic13—22no—
808C2×Dic13—22no—
809C2×Dic13—21no—
810C2×Dic13—21no—
811C2×Dic13—21no—
812C2×Dic13—41no—
813C2×Dic13—41no—
814C2×Dic13—42no—
815C2×Dic13—42no—
816C2×Dic13C22×D411yescharacteristic
817C2×Dic13C22×D411yescharacteristic
818C2×Dic13C22×D411yescharacteristic
819C2×Dic13C22×D411yescharacteristic
820C2×Dic13C22×D411yescharacteristic
821C2×Dic13C22×D411yescharacteristic
822C2×Dic13C22×D411yescharacteristic
823D52—21no—
824D52—21no—
825D52—21no—
826D52—21no—
827D52—21no—
828D52—21no—
829D52—21no—
830D52—21no—
831D52—42no—
832D52—42no—
833D52—42no—
834D52—42no—
835D52—42no—
836D52—42no—
837D52—42no—
838D52—81no—
839D52C2×#4112yes—
840D52C2×#4112yescomplemented
841C4×D13—22no—
842C4×D13—21no—
843C4×D13—21no—
844C4×D13—41no—
845C4×D13—42no—
846C4×D13—42no—
847C4×D13—42no—
848C4×D13—42no—
849C4×D13—42no—
850C4×D13—42no—
851C4×D13—42no—
852C4×D13—42no—
853C4×D13—42no—
854C4×D13—42no—
855C4×D13—42no—
856C4×D13—42no—
857C4×D13—42no—
858C4×D13—81no—
859C4×D13—81no—
860C4×D13—81no—
861C4×D13—81no—
862Dic26—22no—
863Dic26—21no—
864Dic26—21no—
865Dic26—42no—
866Dic26—42no—
867Dic26—81no—
868C8×C13—21no—
869C8×C13—21no—
870C8×C13—21no—
871C8×C13C2×#4112yescomplemented
872#1055—21no—
873#1055—21no—
874#1055—21no—
875#1055—21no—
876C22×#41—261no—
877C2×AGL(1,ℤ/8)—131no—
878C22×D8—131no—
879C22×D8—131no—
880#559—131no—
881#554—131no—
882#554—131no—
883#553—131no—
884#553—261no—
885#553C2×D1311yescharacteristic, complemented
886#551—261no—
887#551—261no—
888#550—131no—
889D4×Q8—131no—
890#548—261no—
891#547—131no—
892#547—131no—
893#547C2×D1311yescharacteristic, complemented
894#546—131no—
895#546—131no—
896#546—261no—
897#546—261no—
898#546—261no—
899#546—261no—
900D42—131no—
901D42—131no—
902D42—131no—
903D42—131no—
904#532—131no—
905#532—131no—
906#532—131no—
907#532—131no—
908#529—131no—
909#529—131no—
910#529—261no—
911#525—261no—
912#525—261no—
913#525—261no—
914#525—261no—
915#525—261no—
916C4×#41—131no—
917C4×#41—131no—
918C2×C4×D4—131no—
919C2×C4×D4—131no—
920C2×C4×D4—131no—
921C2×C4×D4—131no—
922C2×C4×D4—131no—
923C2×C4×D4—261no—
924#501—131no—
925#501C2×D1311yescharacteristic, complemented
926#498—131no—
927#496—131no—
928#496—131no—
929#493—131no—
930#490—131no—
931#490—131no—
932#489—131no—
933#489—131no—
934#486—131no—
935#486—131no—
936#483—131no—
937#483—131no—
938#482—131no—
939#482C2×D1311yescharacteristic, complemented
940#481—131no—
941#481—131no—
942#481—131no—
943#481—131no—
944#481C2×D1311yescharacteristic, complemented
945#481C2×D1311yescharacteristic, complemented
946#480—131no—
947#480C2×D1311yescharacteristic, complemented
948#478—131no—
949#478—131no—
950#478—131no—
951#478C2×D1311yescharacteristic, complemented
952#476—131no—
953#476—131no—
954#476—131no—
955#476—131no—
956#476—131no—
957#476C2×D1311yescharacteristic, complemented
958#475—131no—
959#474—131no—
960#469—131no—
961#469—131no—
962#469—131no—
963#469C2×D1311yescharacteristic, complemented
964#466—131no—
965#466—131no—
966#466—131no—
967#466C2×D1311yescharacteristic, complemented
968#465—131no—
969#465—131no—
970#465—131no—
971#465—131no—
972#463—131no—
973#463—131no—
974#463—131no—
975#463—131no—
976#460—131no—
977#459—131no—
978#459—131no—
979#459—131no—
980#459—131no—
981#459—131no—
982#459—131no—
983#459—131no—
984#450—131no—
985#450—131no—
986#449—131no—
987#449—131no—
988#447—131no—
989#447—131no—
990#447—131no—
991#447—131no—
992#447—131no—
993#447—131no—
994#447—131no—
995#447—131no—
996#446—131no—
997#446—131no—
998#442—131no—
999#442—131no—
1000#442—131no—
1001#442—131no—
1002#442—131no—
1003#442—131no—
1004#442—131no—
1005#442—131no—
1006#442—131no—
1007#442—131no—
1008#442—131no—
1009#442—131no—
1010#442—131no—
1011#442—131no—
1012#442—131no—
1013#442—131no—
1014#442—131no—
1015#442—131no—
1016#442—131no—
1017#442C2×D1311yescharacteristic, complemented
1018#440—131no—
1019#440—131no—
1020#440—131no—
1021#440—131no—
1022C4×SD16—131no—
1023C4×SD16—131no—
1024C4×D8—131no—
1025C4×D8—131no—
1026#435—131no—
1027#435—131no—
1028#435—131no—
1029#435C2×D1311yescharacteristic, complemented
1030C8×D4—131no—
1031C8×D4—131no—
1032#432—131no—
1033#432—131no—
1034#432—131no—
1035#428C2×D1311yescharacteristic, complemented
1036C2×#106—131no—
1037C2×#106C2×D1311yescharacteristic, complemented
1038#418—131no—
1039#417—131no—
1040C2×#102—131no—
1041C2×#102—131no—
1042C2×#102—131no—
1043C2×#102—131no—
1044C4×M16—131no—
1045C2×#97—131no—
1046C2×#97—131no—
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—21no—
1050C22×C13—21no—
1051C22×C13—21no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13C2×AGL(1,ℤ/8)12yes—
1059C22×C13C23×D411yescharacteristic
1060C2×D13—21no—
1061C2×D13—21no—
1062C2×D13—22no—
1063C2×D13—22no—
1064C2×D13—41no—
1065C2×D13—41no—
1066C2×D13—41no—
1067C2×D13—41no—
1068C2×D13—41no—
1069C2×D13—41no—
1070C2×D13—41no—
1071C2×D13—41no—
1072C2×D13—41no—
1073C2×D13—41no—
1074C2×D13—41no—
1075C2×D13—41no—
1076C2×D13—41no—
1077C2×D13—84no—
1078C2×D13—84no—
1079C2×D13—84no—
1080C2×D13—84no—
1081C2×D13—84no—
1082C2×D13C2×AGL(1,ℤ/8)12yes—
1083C4×C13—21no—
1084C4×C13—21no—
1085C4×C13—21no—
1086C4×C13—21no—
1087C4×C13—41no—
1088C4×C13—41no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13—41no—
1092C4×C13—41no—
1093C4×C13C22×#4111yescharacteristic
1094C4×C13#58511yescharacteristic
1095Dic13—21no—
1096Dic13—21no—
1097Dic13—21no—
1098Dic13—21no—
1099Dic13—21no—
1100Dic13—21no—
1101Dic13—41no—
1102Dic13—41no—
1103Dic13—41no—
1104Dic13C2×AGL(1,ℤ/8)12yes—
1105C2×#41—21no—
1106C2×#41—131no—
1107C2×#41—131no—
1108C2×#41—261no—
1109C2×#41—261no—
1110C2×#41—261no—
1111C2×#41—261no—
1112C2×#41—261no—
1113C2×#41—261no—
1114C2×#41—261no—
1115C2×#41—528no—
1116C22×Q8—261no—
1117C22×D4—131no—
1118C22×D4—131no—
1119C22×D4—131no—
1120C22×D4—131no—
1121C22×D4—131no—
1122C22×D4—261no—
1123C22×D4—261no—
1124C22×D4—261no—
1125C22×D4—261no—
1126C23×C4—261no—
1127C23×C4—261no—
1128C23×C4—261no—
1129C23×C4—261no—
1130C23×C4—261no—
1131AGL(1,ℤ/8)—264no—
1132C2×SD16—131no—
1133C2×SD16—131no—
1134C2×SD16—131no—
1135C2×SD16—131no—
1136C2×D8—131no—
1137C2×D8—131no—
1138C2×D8—131no—
1139C2×D8—131no—
1140C2×D8—131no—
1141C2×D8—131no—
1142C2×D8—131no—
1143C2×D8—131no—
1144C2×D8—131no—
1145C2×D8—131no—
1146C2×D8—131no—
1147C2×D8—264no—
1148C2×D8—264no—
1149C2×D8C22×D1311yescharacteristic
1150C2×M16—131no—
1151C2×M16C22×D1311yescharacteristic
1152C22×C8—131no—
1153C22×C8—131no—
1154C22×C8—131no—
1155C22×C8C22×D1311yescharacteristic
1156C4⋊Q8—131no—
1157C4⋊Q8—131no—
1158C4⋊Q8—131no—
1159C4⋊Q8C22×D1311yescharacteristic
1160#127—131no—
1161#127—131no—
1162#127—131no—
1163#127—131no—
1164#126—21no—
1165#126—261no—
1166#126—261no—
1167#126—261no—
1168#125—131no—
1169#125—261no—
1170#125C22×D1311yescharacteristic
1171#124—131no—
1172#124—131no—
1173#124—261no—
1174#124—261no—
1175#124—261no—
1176#124—261no—
1177#124—261no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—261no—
1182#123—261no—
1183#123—261no—
1184#123—261no—
1185#123—261no—
1186#123—261no—
1187#123—261no—
1188#123—261no—
1189#123—261no—
1190#123—261no—
1191#123—261no—
1192C22⋊Q8—21no—
1193C22⋊Q8—131no—
1194C22⋊Q8—131no—
1195C22⋊Q8—261no—
1196C22⋊Q8—261no—
1197C22⋊Q8—261no—
1198C22⋊Q8—261no—
1199C22⋊Q8—261no—
1200C22⋊Q8—261no—
1201C22⋊Q8—261no—
1202C22⋊Q8—261no—
1203C22⋊Q8—261no—
1204C22⋊Q8—261no—
1205#121—21no—
1206#121—131no—
1207#121—131no—
1208#121—131no—
1209#121—131no—
1210#121—131no—
1211#121—131no—
1212#121—261no—
1213#121—261no—
1214#121—261no—
1215#121—261no—
1216#121—261no—
1217#121—261no—
1218#121—261no—
1219#121—261no—
1220#121—261no—
1221#121—261no—
1222#121—261no—
1223#121—261no—
1224#121—261no—
1225#121—261no—
1226#121C22×D1311yescharacteristic
1227#121C22×D1311yescharacteristic
1228#121C22×D1311yescharacteristic
1229#121C22×D1311yescharacteristic
1230#120—261no—
1231#120—261no—
1232#120—261no—
1233#120—261no—
1234#120—261no—
1235#120—261no—
1236#120—261no—
1237#120—261no—
1238#120—261no—
1239#120—261no—
1240C4×Q8—131no—
1241C4×Q8—131no—
1242C4×Q8—131no—
1243C4×Q8—131no—
1244C4×D4—21no—
1245C4×D4—131no—
1246C4×D4—131no—
1247C4×D4—131no—
1248C4×D4—131no—
1249C4×D4—131no—
1250C4×D4—131no—
1251C4×D4—131no—
1252C4×D4—131no—
1253C4×D4—131no—
1254C4×D4—131no—
1255C4×D4—131no—
1256C4×D4—131no—
1257C4×D4—131no—
1258C4×D4—131no—
1259C4×D4—131no—
1260C4×D4—131no—
1261C4×D4—131no—
1262C4×D4—131no—
1263C4×D4—131no—
1264C4×D4—131no—
1265C4×D4—131no—
1266C4×D4—261no—
1267C4×D4—261no—
1268C4×D4—261no—
1269C4×D4—261no—
1270C4×D4—261no—
1271C4×D4—261no—
1272C4×D4—261no—
1273C4×D4—261no—
1274C4×D4—261no—
1275C4×D4—261no—
1276C4×D4—261no—
1277C4×D4—261no—
1278C4×D4—261no—
1279C4×D4—261no—
1280C4×D4—261no—
1281C4×D4—261no—
1282C4×D4—261no—
1283C4×D4—261no—
1284C4×D4—261no—
1285C4×D4—261no—
1286C4×D4—261no—
1287C4×D4C22×D1311yescharacteristic
1288C4×D4C22×D1311yescharacteristic
1289C4×D4C22×D1311yescharacteristic
1290#117—131no—
1291#117—131no—
1292#117—131no—
1293#117—261no—
1294#117—261no—
1295#117—261no—
1296#117C22×D1311yescharacteristic
1297C2×C4⋊C4—131no—
1298C2×C4⋊C4—131no—
1299C2×C4⋊C4—261no—
1300C2×C4⋊C4C22×D1311yescharacteristic
1301C2×C4⋊C4C22×D1311yescharacteristic
1302C2×C4⋊C4C22×D1311yescharacteristic
1303C2×C22⋊C4—261no—
1304C2×C22⋊C4—261no—
1305C2×C22⋊C4—261no—
1306C2×C22⋊C4—261no—
1307C2×C22⋊C4—261no—
1308C2×C22⋊C4—261no—
1309C2×C22⋊C4—261no—
1310C2×C42—131no—
1311C2×C42—131no—
1312C2×C42—131no—
1313C2×C42—261no—
1314#107—131no—
1315#107C22×D1311yescharacteristic
1316#107C22×D1311yescharacteristic
1317#107C22×D1311yescharacteristic
1318#106—131no—
1319#106—131no—
1320#106—131no—
1321#106—131no—
1322#106—131no—
1323#106—131no—
1324#106C22×D1311yescharacteristic
1325#106C22×D1311yescharacteristic
1326#106C22×D1311yescharacteristic
1327#106C22×D1311yescharacteristic
1328#106C22×D1311yescharacteristic
1329#106C22×D1311yescharacteristic
1330C4⋊C8—131no—
1331C4⋊C8—131no—
1332C4⋊C8—131no—
1333C4⋊C8—131no—
1334C4⋊C8—131no—
1335C4⋊C8C22×D1311yescharacteristic
1336#103—131no—
1337#103—131no—
1338#103—131no—
1339#103—131no—
1340#102—131no—
1341#102—131no—
1342#102—131no—
1343#102—131no—
1344#102—131no—
1345#102—131no—
1346#102—131no—
1347#102—131no—
1348#102—131no—
1349#102—131no—
1350#102—131no—
1351#102—131no—
1352#102—131no—
1353#102—131no—
1354#102—131no—
1355#102—131no—
1356#102—131no—
1357#102—131no—
1358#102—131no—
1359#102—131no—
1360#102—131no—
1361#102—131no—
1362#102C22×D1311yescharacteristic
1363#102C22×D1311yescharacteristic
1364#102C22×D1311yescharacteristic
1365#102C22×D1311yescharacteristic
1366#102C22×D1311yescharacteristic
1367#102C22×D1311yescharacteristic
1368C22⋊C8—131no—
1369C22⋊C8—131no—
1370C22⋊C8—131no—
1371C22⋊C8—131no—
1372C22⋊C8C22×D1311yescharacteristic
1373C22⋊C8C22×D1311yescharacteristic
1374#97—131no—
1375#97—131no—
1376#97—131no—
1377#97—131no—
1378#97—131no—
1379#97—131no—
1380#97—131no—
1381#97C22×D1311yescharacteristic
1382C4×C8—131no—
1383C4×C8—131no—
1384C2×C13—22no—
1385C2×C13—41no—
1386C2×C13—81no—
1387C2×C13—81no—
1388C2×C13D4×#4111yescharacteristic
1389C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1390C2×C13#358511yescharacteristic
1391D13—22no—
1392D13—42no—
1393D13—42no—
1394D13—81no—
1395D13—81no—
1396D13—81no—
1397C24—261no—
1398C24—261no—
1399C24—261no—
1400C24—261no—
1401C24—261no—
1402#41—44no—
1403#41—262no—
1404#41—264no—
1405#41—521no—
1406#41—524no—
1407#41—524no—
1408#41—524no—
1409#41—524no—
1410#41—524no—
1411#41—524no—
1412#41—1042no—
1413C2×Q8—21no—
1414C2×Q8—131no—
1415C2×Q8—131no—
1416C2×Q8—261no—
1417C2×Q8—261no—
1418C2×Q8—261no—
1419C2×Q8—524no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—131no—
1425C2×D4—131no—
1426C2×D4—131no—
1427C2×D4—131no—
1428C2×D4—131no—
1429C2×D4—131no—
1430C2×D4—131no—
1431C2×D4—262no—
1432C2×D4—262no—
1433C2×D4—262no—
1434C2×D4—261no—
1435C2×D4—261no—
1436C2×D4—261no—
1437C2×D4—261no—
1438C2×D4—261no—
1439C2×D4—261no—
1440C2×D4—261no—
1441C2×D4—261no—
1442C2×D4—261no—
1443C2×D4—261no—
1444C2×D4—261no—
1445C2×D4—262no—
1446C2×D4—262no—
1447C2×D4—261no—
1448C2×D4—261no—
1449C2×D4—261no—
1450C2×D4—261no—
1451C2×D4—261no—
1452C2×D4—261no—
1453C2×D4—261no—
1454C2×D4—261no—
1455C2×D4—261no—
1456C2×D4—521no—
1457C2×D4—521no—
1458C2×D4—521no—
1459C2×D4—521no—
1460C2×D4—521no—
1461C2×D4—524no—
1462C2×D4—524no—
1463C2×D4—524no—
1464C2×D4—524no—
1465C2×D4D4×D1311yescharacteristic
1466C2×D4C23×D1311yescharacteristic
1467C2×D4C23×D1311yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—131no—
1474C22×C4—131no—
1475C22×C4—131no—
1476C22×C4—131no—
1477C22×C4—131no—
1478C22×C4—131no—
1479C22×C4—131no—
1480C22×C4—261no—
1481C22×C4—261no—
1482C22×C4—261no—
1483C22×C4—261no—
1484C22×C4—261no—
1485C22×C4—261no—
1486C22×C4—261no—
1487C22×C4—261no—
1488C22×C4—261no—
1489C22×C4—261no—
1490C22×C4—261no—
1491C22×C4—261no—
1492C22×C4—261no—
1493C22×C4—261no—
1494C22×C4—261no—
1495C22×C4—261no—
1496C22×C4—261no—
1497C22×C4—261no—
1498C22×C4—261no—
1499C22×C4—524no—
1500C22×C4—524no—
1501C22×C4—524no—
1502C22×C4—1042no—
1503C22×C4—1042no—
1504C22×C4C23×D1311yescharacteristic
1505C22×C4C23×D1311yescharacteristic
1506SD16—262no—
1507SD16—262no—
1508SD16—521no—
1509SD16—521no—
1510D8—22no—
1511D8—134no—
1512D8—262no—
1513D8—262no—
1514D8—262no—
1515D8—262no—
1516D8—262no—
1517D8—262no—
1518D8—521no—
1519D8—521no—
1520D8—521no—
1521D8—521no—
1522M16—22no—
1523M16—521no—
1524C2×C8—22no—
1525C2×C8—131no—
1526C2×C8—131no—
1527C2×C8—131no—
1528C2×C8—131no—
1529C2×C8—262no—
1530C2×C8—521no—
1531C2×C8—521no—
1532C2×C8C23×D1311yescharacteristic
1533C2×C8C23×D1311yescharacteristic
1534C2×C8C23×D1311yescharacteristic
1535C2×C8C23×D1311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—131no—
1543C4⋊C4—131no—
1544C4⋊C4—131no—
1545C4⋊C4—131no—
1546C4⋊C4—131no—
1547C4⋊C4—131no—
1548C4⋊C4—131no—
1549C4⋊C4—261no—
1550C4⋊C4—261no—
1551C4⋊C4—261no—
1552C4⋊C4—261no—
1553C4⋊C4—261no—
1554C4⋊C4—261no—
1555C4⋊C4—261no—
1556C4⋊C4—261no—
1557C4⋊C4—261no—
1558C4⋊C4—261no—
1559C4⋊C4—261no—
1560C4⋊C4D4×D1311yescharacteristic
1561C4⋊C4C23×D1311yescharacteristic
1562C4⋊C4C23×D1311yescharacteristic
1563C4⋊C4C23×D1311yescharacteristic
1564C4⋊C4C23×D1311yescharacteristic
1565C4⋊C4C23×D1311yescharacteristic
1566C4⋊C4C23×D1311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—131no—
1575C22⋊C4—131no—
1576C22⋊C4—131no—
1577C22⋊C4—131no—
1578C22⋊C4—261no—
1579C22⋊C4—261no—
1580C22⋊C4—261no—
1581C22⋊C4—261no—
1582C22⋊C4—261no—
1583C22⋊C4—261no—
1584C22⋊C4—261no—
1585C22⋊C4—261no—
1586C22⋊C4—261no—
1587C22⋊C4—261no—
1588C22⋊C4—261no—
1589C22⋊C4—261no—
1590C22⋊C4—261no—
1591C22⋊C4—261no—
1592C22⋊C4—261no—
1593C22⋊C4—261no—
1594C22⋊C4—261no—
1595C22⋊C4—261no—
1596C22⋊C4—261no—
1597C22⋊C4—261no—
1598C22⋊C4—261no—
1599C22⋊C4—261no—
1600C22⋊C4—261no—
1601C22⋊C4—261no—
1602C22⋊C4—261no—
1603C22⋊C4—261no—
1604C22⋊C4—261no—
1605C22⋊C4—261no—
1606C22⋊C4D4×D1311yescharacteristic
1607C22⋊C4D4×D1311yescharacteristic
1608C42—21no—
1609C42—131no—
1610C42—131no—
1611C42—131no—
1612C42—131no—
1613C42—131no—
1614C42—131no—
1615C42—131no—
1616C42—131no—
1617C42—131no—
1618C42—261no—
1619C42—261no—
1620C42C23×D1311yescharacteristic
1621C13#6145111yescharacteristic, complemented, Sylow
1622C23—21no—
1623C23—21no—
1624C23—131no—
1625C23—261no—
1626C23—261no—
1627C23—261no—
1628C23—261no—
1629C23—261no—
1630C23—522no—
1631C23—522no—
1632C23—522no—
1633C23—522no—
1634C23—522no—
1635C23—522no—
1636C23—522no—
1637C23—522no—
1638C23—522no—
1639C23—522no—
1640C23—1041no—
1641C23—1041no—
1642C23—1041no—
1643C23—1041no—
1644C23—1041no—
1645C23C2×D4×D1311yescharacteristic
1646C23C2×D4×D1311yescharacteristic
1647Q8—42no—
1648Q8—262no—
1649Q8—261no—
1650Q8—261no—
1651Q8—522no—
1652Q8—522no—
1653Q8—1041no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—81no—
1663D4—134no—
1664D4—132no—
1665D4—132no—
1666D4—262no—
1667D4—261no—
1668D4—261no—
1669D4—261no—
1670D4—261no—
1671D4—261no—
1672D4—261no—
1673D4—261no—
1674D4—261no—
1675D4—522no—
1676D4—522no—
1677D4—522no—
1678D4—522no—
1679D4—522no—
1680D4—522no—
1681D4—522no—
1682D4—522no—
1683D4—522no—
1684D4—522no—
1685D4—522no—
1686D4—522no—
1687D4—522no—
1688D4—522no—
1689D4—522no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4—1041no—
1694D4—1041no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—131no—
1711C2×C4—131no—
1712C2×C4—131no—
1713C2×C4—131no—
1714C2×C4—131no—
1715C2×C4—131no—
1716C2×C4—131no—
1717C2×C4—262no—
1718C2×C4—262no—
1719C2×C4—262no—
1720C2×C4—261no—
1721C2×C4—261no—
1722C2×C4—261no—
1723C2×C4—261no—
1724C2×C4—261no—
1725C2×C4—521no—
1726C2×C4—522no—
1727C2×C4—522no—
1728C2×C4—522no—
1729C2×C4—522no—
1730C2×C4—522no—
1731C2×C4—522no—
1732C2×C4—522no—
1733C2×C4—522no—
1734C2×C4—522no—
1735C2×C4—522no—
1736C2×C4—522no—
1737C2×C4—522no—
1738C2×C4—522no—
1739C2×C4—521no—
1740C2×C4—521no—
1741C2×C4—522no—
1742C2×C4—522no—
1743C2×C4—1041no—
1744C2×C4—1041no—
1745C2×C4—1041no—
1746C2×C4—1041no—
1747C2×C4C2×D4×D1311yescharacteristic
1748C2×C4C2×D4×D1311yescharacteristic
1749C2×C4C2×D4×D1311yescharacteristic
1750C2×C4C2×D4×D1311yescharacteristic
1751C2×C4C24×D1311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—261no—
1756C8—261no—
1757C8—261no—
1758C8—261no—
1759C8#41×D1312yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—132no—
1772C22—261no—
1773C22—261no—
1774C22—262no—
1775C22—262no—
1776C22—521no—
1777C22—521no—
1778C22—521no—
1779C22—521no—
1780C22—521no—
1781C22—521no—
1782C22—521no—
1783C22—521no—
1784C22—521no—
1785C22—521no—
1786C22—521no—
1787C22—521no—
1788C22—521no—
1789C22—1044no—
1790C22—1044no—
1791C22—1044no—
1792C22—1044no—
1793C22—1044no—
1794C22D13×AGL(1,ℤ/8)12yes—
1795C22C22×D4×D1311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—132no—
1807C4—261no—
1808C4—261no—
1809C4—261no—
1810C4—261no—
1811C4—261no—
1812C4—261no—
1813C4—521no—
1814C4—521no—
1815C4—521no—
1816C4C2×#41×D1311yescharacteristic
1817C4#1171965211yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—81no—
1821C2—81no—
1822C2—262no—
1823C2—522no—
1824C2—522no—
1825C2—1041no—
1826C2—1041no—
1827C2—1041no—
1828C2#1312832311yescharacteristic
1829C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
1830C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3345C2
socleC22×C13C23×D4
hypercenter#3345D13
hypocenterC13#61451
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #13128443C2semidirect
2. #13128323C2semidirect
3. #13127879C2semidirect
4. #13127732C2semidirect
5. #13127631C2semidirect
6. #13127546C2semidirect
7. #13127307C2semidirect
8. #13127189C2semidirect
9. #13126980C2semidirect
10. #13126971C2semidirect
11. #13126800C2semidirect
12. #13126791C2semidirect
13. #13126658C2semidirect
14. #13126647C2semidirect
15. #13126510C2semidirect
16. #13126323C2semidirect
17. #13126321C2semidirect
18. #13125569C2semidirect
19. #13125536C2semidirect
20. #13125529C2semidirect
21. #13124982C2semidirect
22. #13124979C2semidirect
23. #13124971C2semidirect
24. #13124929C2semidirect
25. #13124924C2semidirect
26. #13124924C2semidirect
27. #13123846C2semidirect
28. #13123643C2semidirect
29. C2×#11718530C2semidirect
30. D13×#442C2semidirect
31. C13×#3345C2semidirect
33. C13×#553C22semidirect
34. C13×#547C22semidirect
39. #11719432C22semidirect
40. #11719430C22semidirect
43. #11719396C22semidirect
44. #11719395C22semidirect
53. #11719317C22semidirect
56. #11719314C22semidirect
57. #11719314C22semidirect
59. #11719305C22semidirect
60. #11719301C22semidirect
61. #11719301C22semidirect
62. #11719301C22semidirect
63. #11719264C22semidirect
65. #11719258C22semidirect
66. #11719255C22semidirect
67. D4×D52C22semidirect
69. C4×D4×D13C22semidirect
70. C4×D4×D13C22semidirect
72. #11719235C22semidirect
73. #11719227C22semidirect
74. #11719216C22semidirect
76. #11719212C22semidirect
77. C2×#88147C22semidirect
78. C2×#88147C22semidirect
79. C2×#88147C22semidirect
80. C13×#501C22semidirect
81. C13×#482C22semidirect
82. C13×#481C22semidirect
83. C13×#481C22semidirect
84. C13×#480C22semidirect
85. C13×#478C22semidirect
86. C13×#476C22semidirect
87. C13×#469C22semidirect
88. C13×#466C22semidirect
89. C13×#442C22semidirect
90. C13×#435C22semidirect
91. C13×#428C22semidirect
92. C2×C13×#106C22semidirect
93. #11718815C22semidirect
94. #11718813C22semidirect
95. #11718812C22semidirect
96. #11718796C22semidirect
97. #11718788C22semidirect
98. M16×Dic13C22semidirect
99. #11718775C22semidirect
100. C8×C22⋊D13C22semidirect
101. C2×#88055C22semidirect
102. #11718750C22semidirect
103. #11718745C22semidirect
104. #11718728C22semidirect
105. #11718727C22semidirect
106. #11718702C22semidirect
107. #11718700C22semidirect
108. #11718700C22semidirect
109. #11718699C22semidirect
110. #11718698C22semidirect
112. #11718697C22semidirect
113. #11718697C22semidirect
114. #11718677C22semidirect
115. #11718676C22semidirect
116. #11718675C22semidirect
117. #11718675C22semidirect
118. #11718672C22semidirect
119. #11718664C22semidirect
120. #11718662C22semidirect
121. #11718632C22semidirect
122. #11718629C22semidirect
123. #11718629C22semidirect
124. #11718627C22semidirect
125. C2×#88049C22semidirect
126. C2×#88049C22semidirect
127. #11718552C22semidirect
128. #11718552C22semidirect
129. #11718551C22semidirect
130. #11718550C22semidirect
131. #11718550C22semidirect
132. #11718550C22semidirect
133. #11718544C22semidirect
134. #11718544C22semidirect
135. #11718543C22semidirect
136. #11718537C22semidirect
138. #11718533C22semidirect
139. #11718531C22semidirect
140. #11718531C22semidirect
141. #11718531C22semidirect
142. #11718531C22semidirect
145. #11718530C22semidirect
146. #11718530C22semidirect
147. #11718530C22semidirect
148. #11718530C22semidirect
149. #11718530C22semidirect
150. #11718530C22semidirect
151. #11718530C22semidirect
152. #11718530C22semidirect
153. #11718525C22semidirect
154. #11718525C22semidirect
155. #11718524C22semidirect
156. #11718524C22semidirect
157. #11718523C22semidirect
158. D13×#106C22semidirect
159. #11718516C22semidirect
160. #11718515C22semidirect
161. #11718513C22semidirect
162. #11718513C22semidirect
163. #11718505C22semidirect
164. #11718504C22semidirect
165. #11718496C22semidirect
166. #11718489C22semidirect
167. #11718448C22semidirect
168. #11718448C22semidirect
170. #11718447C22semidirect
171. #11718447C22semidirect
172. #11718447C22semidirect
173. #11718447C22semidirect
174. #11718446C22semidirect
175. #11718446C22semidirect
176. #11718446C22semidirect
177. #11718446C22semidirect
178. #11718446C22semidirect
179. #11718437C22semidirect
181. #11718434C22semidirect
182. #11718434C22semidirect
183. D13×#102C22semidirect
184. D13×#102C22semidirect
185. #11718426C22semidirect
186. #11718425C22semidirect
187. #11718423C22semidirect
188. #11718421C22semidirect
189. #11718421C22semidirect
190. #11718418C22semidirect
191. #11718395C22semidirect
192. #11718393C22semidirect
193. #11718393C22semidirect
194. #11718392C22semidirect
195. #11718389C22semidirect
196. #11718386C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. #11718373C22semidirect
201. D13×#97C22semidirect
202. #11718362C22semidirect
701. D104#41semidirect
714. #3345D13semidirect
806. C22⋊D13AGL(1,ℤ/8)semidirect
840. D52C2×#41semidirect
871. C8×C13C2×#41semidirect
885. #553C2×D13semidirect
893. #547C2×D13semidirect
925. #501C2×D13semidirect
939. #482C2×D13semidirect
944. #481C2×D13semidirect
945. #481C2×D13semidirect
947. #480C2×D13semidirect
951. #478C2×D13semidirect
957. #476C2×D13semidirect
963. #469C2×D13semidirect
967. #466C2×D13semidirect
1017. #442C2×D13semidirect
1029. #435C2×D13semidirect
1035. #428C2×D13semidirect
1037. C2×#106C2×D13semidirect
1621. C13#61451semidirect
1759. C8#41×D13semidirect

Maximal subgroups

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

subgroupindex
#131284432
#131283232
#131278792
#131277322
#131276312
#131275462
#131273072
#131271892
#131269802
#131269712
#131268002
#131267912
#131266582
#131266472
#131265102
#131263232
#131263212
#131255692
#131255362
#131255292
#131249822
#131249792
#131249712
#131249292
#131249242
#131238462
#131236432
C2×#117185302
D13×#4422
C13×#33452
#6145113