Finite Group Databasebeta

← #16744921

Subgroups — #16744921

Order 3328.

1920 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128440C211yesmaximal, characteristic, complemented
2#13128398C211yesmaximal, characteristic, complemented
3#13127898C211yesmaximal, characteristic, complemented
4#13127792C211yesmaximal, characteristic, complemented
5#13127659C211yesmaximal, characteristic, complemented
6#13127585C211yesmaximal, characteristic, complemented
7#13127337C211yesmaximal, characteristic, complemented
8#13127292C211yesmaximal, characteristic, complemented
9#13127220C211yesmaximal, characteristic, complemented
10#13126993C211yesmaximal, characteristic, complemented
11#13126918C211yesmaximal, characteristic, complemented
12#13126858C211yesmaximal, characteristic, complemented
13#13126813C211yesmaximal, characteristic, complemented
14#13126691C211yesmaximal, characteristic, complemented
15#13126676C211yesmaximal, characteristic, complemented
16#13126522C211yesmaximal, characteristic, complemented
17#13126355C211yesmaximal, characteristic, complemented
18#13126310C211yesmaximal, characteristic, complemented
19#13125565C211yesmaximal, characteristic, complemented
20#13125541C211yesmaximal, characteristic, complemented
21#13125530C211yesmaximal, characteristic, complemented
22#13124983C211yesmaximal, characteristic, complemented
23#13124974C211yesmaximal, characteristic, complemented
24#13124972C211yesmaximal, characteristic, complemented
25#13124949C211yesmaximal, characteristic, complemented
26#13124945C211yesmaximal, characteristic, complemented
27#13124933C211yesmaximal, characteristic, complemented
28#13123851C211yesmaximal, characteristic, complemented
29#13123633C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C4×C13×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
32C2×C13×AGL(1,ℤ/8)C2211yescharacteristic
33C4×C13×#41C2211yescharacteristic, complemented
34C2×C4×D4×C13C2211yescharacteristic, complemented
35#11719534C2211yescharacteristic
36#11719529C2211yescharacteristic, complemented
37#11719511C2211yescharacteristic, complemented
38D4×C22⋊D13C2211yescharacteristic
39#11719496—21no—
40C2×C4×C22⋊D13—21no—
41C2×#88166C2211yescharacteristic
42C2×D8×D13C2211yescharacteristic
43#11719286C2211yescharacteristic, complemented
44#11719285C2211yescharacteristic, complemented
45#11719283C2211yescharacteristic, complemented
46#11719273C2211yescharacteristic, complemented
47#11719264C2211yescharacteristic, complemented
48#11719263C2211yescharacteristic
49#11719262C2211yescharacteristic
50#11719261—21no—
51#11719261—21no—
52#11719259C2211yescharacteristic
53#11719259C2211yescharacteristic, complemented
54#11719253C2211yescharacteristic, complemented
55#11719252—21no—
56#11719252—21no—
57C4×D4×D13C2211yescharacteristic
58C4×D4×D13C2211yescharacteristic, complemented
59#11719245—21no—
60#11719245—21no—
61#11719244C2211yescharacteristic, complemented
62#11719244C2211yescharacteristic, complemented
63#11719243—21no—
64#11719243—21no—
65C4×#6129C2211yescharacteristic, complemented
66C4×#6129C2211yescharacteristic, complemented
67#11719237C2211yescharacteristic, complemented
68#11719236—21no—
69#11719234C2211yescharacteristic
70#11719232—21no—
71#11719219C2211yescharacteristic, complemented
72#11719216C2211yescharacteristic
73#11719200—21no—
74#11719195—21no—
75#11719184—21no—
76#11719184C2211yescharacteristic, complemented
77#11719184C2211yescharacteristic, complemented
78C4×#6127C2211yescharacteristic
79C2×#88126—21no—
80C13×#442C2211yescharacteristic
81C13×#442C2211yescharacteristic, complemented
82C13×#440C2211yescharacteristic, complemented
83C13×#440C2211yescharacteristic, complemented
84C4×C13×SD16C2211yescharacteristic, complemented
85C4×C13×SD16C2211yescharacteristic, complemented
86C4×C13×D8C2211yescharacteristic
87C4×C13×D8C2211yescharacteristic, complemented
88C13×#428C2211yescharacteristic, complemented
89C13×#418C2211yescharacteristic, complemented
90C13×#417C2211yescharacteristic, complemented
91C4×C13×M16C2211yescharacteristic, complemented
92#11718900C2211yescharacteristic, complemented
93#11718899C2211yescharacteristic
94#11718879C2211yescharacteristic, complemented
95#11718878C2211yescharacteristic
96#11718837C2211yescharacteristic
97#11718834C2211yescharacteristic, complemented
98#11718832C2211yescharacteristic
99#11718832C2211yescharacteristic, complemented
100#11718830C2211yescharacteristic
101#11718828C2211yescharacteristic, complemented
102#11718826C2211yescharacteristic
103#11718823C2211yescharacteristic, complemented
104#11718819C2211yescharacteristic, complemented
105#11718817C2211yescharacteristic
106#11718814C2211yescharacteristic, complemented
107#11718813C2211yescharacteristic
108#11718813C2211yescharacteristic
109#11718811C2211yescharacteristic
110#11718798C2211yescharacteristic, complemented
111#11718796C2211yescharacteristic
112#11718795C2211yescharacteristic, complemented
113#11718795C2211yescharacteristic, complemented
114#11718788C2211yescharacteristic
115#11718788C2211yescharacteristic
116#11718788C2211yescharacteristic, complemented
117#11718788C2211yescharacteristic, complemented
118#11718691C2211yescharacteristic, complemented
119#11718689C2211yescharacteristic, complemented
120#11718687C2211yescharacteristic, complemented
121#11718683C2211yescharacteristic, complemented
122#11718679C2211yescharacteristic, complemented
123#11718679C2211yescharacteristic, complemented
124#11718679C2211yescharacteristic, complemented
125#11718677C2211yescharacteristic
126#11718677C2211yescharacteristic, complemented
127#11718677C2211yescharacteristic, complemented
128#11718675C2211yescharacteristic
129#11718675C2211yescharacteristic, complemented
130#11718675C2211yescharacteristic, complemented
131#11718670C2211yescharacteristic, complemented
132#11718670C2211yescharacteristic, complemented
133#11718670C2211yescharacteristic, complemented
134#11718664C2211yescharacteristic, complemented
135#11718657C2211yescharacteristic, complemented
136#11718632C2211yescharacteristic, complemented
137#11718628C2211yescharacteristic, complemented
138#11718587C2211yescharacteristic, complemented
139#11718551C2211yescharacteristic, complemented
140#11718548C2211yescharacteristic, complemented
141#11718546C2211yescharacteristic, complemented
142#11718545C2211yescharacteristic, complemented
143#11718544C2211yescharacteristic, complemented
144#11718538C2211yescharacteristic, complemented
145#11718537C2211yescharacteristic, complemented
146#11718537C2211yescharacteristic, complemented
147#11718532C2211yescharacteristic, complemented
148#11718530C2211yescharacteristic, complemented
149#11718527C2211yescharacteristic, complemented
150#11718523C2211yescharacteristic, complemented
151#11718521C2211yescharacteristic, complemented
152D13×#106C2211yescharacteristic, complemented
153#11718515C2211yescharacteristic, complemented
154#11718514C2211yescharacteristic, complemented
155#11718479C2211yescharacteristic, complemented
156#11718475C2211yescharacteristic, complemented
157#11718474C2211yescharacteristic, complemented
158#11718470C2211yescharacteristic, complemented
159#11718468C2211yescharacteristic, complemented
160#11718459C2211yescharacteristic, complemented
161#11718458C2211yescharacteristic, complemented
162#11718456C2211yescharacteristic, complemented
163#11718448C2211yescharacteristic, complemented
164#11718446C2211yescharacteristic
165#11718446C2211yescharacteristic, complemented
166#11718445C2211yescharacteristic, complemented
167#11718442C2211yescharacteristic
168#11718442C2211yescharacteristic, complemented
169#11718439C2211yescharacteristic
170#11718437C2211yescharacteristic
171#11718437C2211yescharacteristic, complemented
172#11718436C2211yescharacteristic, complemented
173#11718435C2211yescharacteristic
174#11718433C2211yescharacteristic, complemented
175#11718433C2211yescharacteristic, complemented
176D13×#102C2211yescharacteristic
177D13×#102C2211yescharacteristic, complemented
178#11718427C2211yescharacteristic, complemented
179#11718427C2211yescharacteristic, complemented
180#11718426C2211yescharacteristic, complemented
181#11718425C2211yescharacteristic, complemented
182#11718423C2211yescharacteristic, complemented
183#11718420C2211yescharacteristic, complemented
184#11718420C2211yescharacteristic, complemented
185#11718418C2211yescharacteristic, complemented
186#11718418C2211yescharacteristic, complemented
187#11718377C2211yescharacteristic, complemented
188#11718372C2211yescharacteristic, complemented
189#11718371C2211yescharacteristic, complemented
190#11718371C2211yescharacteristic, complemented
191#11718366C2211yescharacteristic, complemented
192#11718366C2211yescharacteristic, complemented
193D13×#97C2211yescharacteristic, complemented
194D13×#97C2211yescharacteristic, complemented
195#11718358C2211yescharacteristic, complemented
196#11718358C2211yescharacteristic, complemented
197#11718357C2211yescharacteristic, complemented
198C8×D52C2211yescharacteristic, complemented
199C8×D52C2211yescharacteristic, complemented
200#11718344C2211yescharacteristic, complemented
201#11718340C2211yescharacteristic, complemented
202#11718340C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C23×C4×C13—21no—
206C22×C22⋊D13—21no—
207C2×#6129C2311yescharacteristic
208C2×#6129C2311yescharacteristic
209C2×D4×D13C2311yescharacteristic
210C2×D4×D13C2311yescharacteristic
211C2×#6127—21no—
212C2×#6127D411yescharacteristic
213C22×C4×D13—21no—
214C22×C4×D13—21no—
215C13×AGL(1,ℤ/8)—24no—
216C2×C13×SD16C2311yescharacteristic
217C2×C13×SD16C2311yescharacteristic
218C2×C13×D8C2311yescharacteristic
219C2×C13×D8C2311yescharacteristic
220C2×C13×M16C2311yescharacteristic
221C2×C13×M16C2311yescharacteristic
222C4×Q8×C13C2311yescharacteristic
223C4×Q8×C13C2311yescharacteristic
224C4×D4×C13—21no—
225C4×D4×C13—21no—
226C4×D4×C13—21no—
227C4×D4×C13—21no—
228C4×D4×C13C2311yescharacteristic
229C4×D4×C13C2311yescharacteristic
230C4×D4×C13C2311yescharacteristic
231C4×D4×C13C2311yescharacteristic
232C4×D4×C13C2311yescharacteristic
233C4×D4×C13C2311yescharacteristic
234C13×#117—21no—
235C13×#117C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4—21no—
238C2×C42×C13—21no—
239C2×C42×C13C2311yescharacteristic
240#88207—21no—
241#88207—21no—
242C2×C22⋊Dic13—21no—
243#88201C2311yescharacteristic
244#88200C2311yescharacteristic
245#88200C2311yescharacteristic
246#88198C2311yescharacteristic
247C2×#6107C2311yescharacteristic
248C2×#6106C2311yescharacteristic
249#88194C2311yescharacteristic
250#88193—21no—
251#88193—21no—
252#88193—21no—
253#88193—21no—
254#88192C2311yescharacteristic
255#88192C2311yescharacteristic
256#88191—21no—
257#88191—21no—
258#88190C2311yescharacteristic
259#88189—21no—
260#88189—21no—
261D4×Dic13C2311yescharacteristic
262D4×Dic13C2311yescharacteristic
263D4×Dic13C2311yescharacteristic
264D4×Dic13C2311yescharacteristic
265C2×#6105C2311yescharacteristic
266C2×#6105C2311yescharacteristic
267C2×#6105C2311yescharacteristic
268C2×#6104C2311yescharacteristic
269C2×#6104C2311yescharacteristic
270C2×#6104C2311yescharacteristic
271#88184—21no—
272#88184—21no—
273#88184—21no—
274#88184C2311yescharacteristic
275#88184C2311yescharacteristic
276#88183—21no—
277#88183—21no—
278#88183—21no—
279#88183—21no—
280#88183—21no—
281#88183—21no—
282C4×C22⋊D13—21no—
283C4×C22⋊D13—21no—
284C4×C22⋊D13—21no—
285C4×C22⋊D13—21no—
286C4×C22⋊D13—21no—
287C4×C22⋊D13—21no—
288C4×C22⋊D13—21no—
289C4×C22⋊D13—21no—
290C4×C22⋊D13—21no—
291C4×C22⋊D13—21no—
292C4×C22⋊D13—21no—
293C4×C22⋊D13—21no—
294C4×C22⋊D13D411yescharacteristic
295C4×C22⋊D13D411yescharacteristic
296C4×C22⋊D13C2311yescharacteristic
297C4×C22⋊D13C2311yescharacteristic
298C2×#6103—21no—
299C2×#6103—21no—
300C2×#6103—21no—
301#88180—21no—
302#88180D411yescharacteristic
303#88178—21no—
304#88178—21no—
305#88178—21no—
306#88178C2311yescharacteristic
307#88178C2311yescharacteristic
308C2×#6101—21no—
309C2×#6101—21no—
310C2×#6101—21no—
311C2×C4×Dic13—21no—
312C2×C4×Dic13—21no—
313#88166—24no—
314D8×D13—24no—
315C2×Dic52C2311yescharacteristic
316C2×D104C2311yescharacteristic
317C2×#6095C2311yescharacteristic
318C2×#6095C2311yescharacteristic
319C2×C8×D13C2311yescharacteristic
320C2×C8×D13C2311yescharacteristic
321C2×C8×D13C2311yescharacteristic
322C2×C8×D13C2311yescharacteristic
323#88152—21no—
324#88152—21no—
325#88152—21no—
326#88151C2311yescharacteristic
327#88151C2311yescharacteristic
328#88150—21no—
329#88150—21no—
330#88150—21no—
331#88149C2311yescharacteristic
332#88149C2311yescharacteristic
333#88148—21no—
334#88148—21no—
335#88148—21no—
336#88147C2311yescharacteristic
337#88147C2311yescharacteristic
338#88146C2311yescharacteristic
339#88146C2311yescharacteristic
340C4⋊C4×D13C2311yescharacteristic
341C4⋊C4×D13C2311yescharacteristic
342#88144C2311yescharacteristic
343#88144C2311yescharacteristic
344#88143—21no—
345#88143—21no—
346#88143—21no—
347#88142C2311yescharacteristic
348#88142C2311yescharacteristic
349#88141C2311yescharacteristic
350#88141C2311yescharacteristic
351#88140—21no—
352#88140—21no—
353#88139—21no—
354#88139—21no—
355#88139—21no—
356#88138—21no—
357#88138—21no—
358#88138—21no—
359#88137—21no—
360#88137—21no—
361#88137—21no—
362#88136—21no—
363#88136—21no—
364#88135—21no—
365#88135—21no—
366#88135—21no—
367#88135—21no—
368C22⋊C4×D13—21no—
369C22⋊C4×D13—21no—
370#88133—21no—
371#88133—21no—
372#88133—21no—
373#88132—21no—
374#88132—21no—
375#88132—21no—
376#88132—21no—
377#88131—21no—
378#88131—21no—
379#88130—21no—
380#88130—21no—
381#88130—21no—
382#88130—21no—
383#88129—21no—
384#88129C2311yescharacteristic
385#88129C2311yescharacteristic
386C4×D52—21no—
387C4×D52D411yescharacteristic
388C4×D52C2311yescharacteristic
389C4×D52C2311yescharacteristic
390C4×D52C2311yescharacteristic
391#88126—21no—
392#88126—21no—
393#88126—21no—
394#88126—21no—
395#88126—21no—
396#88126—21no—
397#88126—21no—
398#88126—21no—
399#88126D411yescharacteristic
400#88126D411yescharacteristic
401C42×D13C2311yescharacteristic
402C42×D13C2311yescharacteristic
403#88124—21no—
404#88124C2311yescharacteristic
405#88124C2311yescharacteristic
406C4×Dic26—21no—
407C4×Dic26D411yescharacteristic
408C4×Dic26C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#107C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#102C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#97C2311yescharacteristic
424C13×#97C2311yescharacteristic
425C4×C8×C13C2311yescharacteristic
426C4×C8×C13C2311yescharacteristic
427#88075C2311yescharacteristic
428#88075C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436C22⋊#1055C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88060C2311yescharacteristic
442#88060C2311yescharacteristic
443#88060C2311yescharacteristic
444#88060C2311yescharacteristic
445#88058C2311yescharacteristic
446#88058C2311yescharacteristic
447#88057C2311yescharacteristic
448#88057C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88056C2311yescharacteristic
452#88056C2311yescharacteristic
453#88055C2311yescharacteristic
454#88055C2311yescharacteristic
455#88055C2311yescharacteristic
456#88055C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459#88054C2311yescharacteristic
460#88054C2311yescharacteristic
461#88050C2311yescharacteristic
462#88050C2311yescharacteristic
463#88050C2311yescharacteristic
464#88050C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477C4⋊#1055C2311yescharacteristic
478C4⋊#1055C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#61454—131nomaximal, Sylow
482C24×C13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C13×#41—22no—
486C13×#41—41no—
487C2×Q8×C13C2411yescharacteristic
488C2×D4×C13—22no—
489C2×D4×C13—21no—
490C2×D4×C13—21no—
491C2×D4×C13—41no—
492C2×D4×C13C2411yescharacteristic
493C2×D4×C13C2411yescharacteristic
494C2×D4×C13C2411yescharacteristic
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13—21no—
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13—21no—
503C22×C4×C13—82no—
504C22×C4×C13C2×D411yescharacteristic
505C22×C4×C13C2×D411yescharacteristic
506C22×C4×C13C2411yescharacteristic
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—
526#6129—22no—
527#6129—22no—
528#6129—41no—
529#6129—41no—
530D4×D13—22no—
531D4×D13—22no—
532D4×D13—41no—
533D4×D13—41no—
534#6127—42no—
535#6127—82no—
536C2×D52—21no—
537C2×D52—21no—
538C2×D52C2×D411yescharacteristic
539C2×D52C2411yescharacteristic
540C2×D52C2411yescharacteristic
541C2×C4×D13—21no—
542C2×C4×D13—21no—
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—44no—
548C2×C4×D13—82no—
549C2×C4×D13C2×D411yescharacteristic
550C2×C4×D13C2×D411yescharacteristic
551C2×C4×D13C2×D411yescharacteristic
552C2×C4×D13C2×D411yescharacteristic
553C2×C4×D13C2411yescharacteristic
554C2×C4×D13C2411yescharacteristic
555C2×Dic26—21no—
556C2×Dic26—21no—
557C2×Dic26C2×D411yescharacteristic
558C2×Dic26C2411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×SD16—22no—
561C13×SD16—22no—
562C13×D8—22no—
563C13×D8#4114yescomplemented
564C13×M16—22no—
565C13×M16—41no—
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
569C2×C8×C13C2411yescharacteristic
570C13×C4⋊C4—21no—
571C13×C4⋊C4—21no—
572C13×C4⋊C4—21no—
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C4⋊C4C2411yescharacteristic
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C42×C13—21no—
585C42×C13—21no—
586C42×C13—21no—
587C42×C13C2×D411yescharacteristic
588C42×C13C2×D411yescharacteristic
589C42×C13C2411yescharacteristic
590C42×C13C2411yescharacteristic
591C22⋊Dic13—21no—
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13C2×D411yescharacteristic
602C22⋊Dic13C2×D411yescharacteristic
603#6107—41no—
604#6106—41no—
605#6105—22no—
606#6105—22no—
607#6105—41no—
608#6104—22no—
609#6104—22no—
610#6104—41no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103—21no—
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103C2×D411yescharacteristic
632#6103C2×D411yescharacteristic
633#6103C2×D411yescharacteristic
634#6103C2×D411yescharacteristic
635C4⋊Dic13—21no—
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13—21no—
639C4⋊Dic13C2×D411yescharacteristic
640C4⋊Dic13C2×D411yescharacteristic
641C4⋊Dic13C2411yescharacteristic
642C4⋊Dic13C2411yescharacteristic
643C4⋊Dic13C2411yescharacteristic
644C4⋊Dic13C2411yescharacteristic
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101C2×D411yescharacteristic
666#6101C2×D411yescharacteristic
667#6101C2×D411yescharacteristic
668#6101C2×D411yescharacteristic
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2411yescharacteristic
680C4×Dic13C2411yescharacteristic
681C2×#1055C2411yescharacteristic
682C2×#1055C2411yescharacteristic
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685Dic52—22no—
686D104—22no—
687#6095—41no—
688#6095—41no—
689C8×D13—22no—
690C8×D13—22no—
691C8×D13—41no—
692C8×D13—41no—
693#3481—131no—
694#3475—131no—
695#3401—131no—
696#3389—131no—
697#3376—131no—
698#3370—131no—
699#3347—131no—
700#3344—131no—
701#3337—131no—
702#3319—131no—
703#3314—131no—
704#3310—131no—
705#3307—131no—
706#3297—131no—
707#3296—131no—
708#3280—131no—
709#3267—131no—
710#3264—131no—
711#3183—131no—
712#3181—131no—
713#3180—131no—
714#3115—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3110—131no—
720#2970—131no—
721C4×AGL(1,ℤ/8)D1311yescharacteristic, complemented
722#2943—131no—
723C2×#442—131no—
724C23×C13—21no—
725C23×C13—21no—
726C23×C13—21no—
727C23×C13—42no—
728C23×C13—42no—
729C23×C13—81no—
730C23×C13C22×D411yescharacteristic
731C22×D13—21no—
732C22×D13—21no—
733C22×D13—42no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—42no—
737C22×D13—81no—
738C22×D13—81no—
739C22×D13C22×D411yescharacteristic
740C22×D13C22×D411yescharacteristic
741Q8×C13—21no—
742Q8×C13—21no—
743D4×C13—21no—
744D4×C13—21no—
745D4×C13—21no—
746D4×C13—21no—
747D4×C13—42no—
748D4×C13—42no—
749D4×C13C2×#4112yes—
750D4×C13C2×#4112yes—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—41no—
759C2×C4×C13—41no—
760C2×C4×C13—42no—
761C2×C4×C13—42no—
762C2×C4×C13—42no—
763C2×C4×C13—42no—
764C2×C4×C13—81no—
765C2×C4×C13—81no—
766C2×C4×C13—81no—
767C2×C4×C13—81no—
768C2×C4×C13C22×D411yescharacteristic
769C2×C4×C13C22×D411yescharacteristic
770C2×C4×C13C22×D411yescharacteristic
771C2×C4×C13C22×D411yescharacteristic
772C2×C4×C13C22×D411yescharacteristic
773C2×C4×C13C2511yescharacteristic
774C22⋊D13—22no—
775C22⋊D13—41no—
776C22⋊D13—42no—
777C22⋊D13—42no—
778C22⋊D13—42no—
779C22⋊D13—42no—
780C22⋊D13—42no—
781C22⋊D13—42no—
782C22⋊D13—42no—
783C22⋊D13—81no—
784C22⋊D13—81no—
785C22⋊D13—81no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—42no—
793C2×Dic13—42no—
794C2×Dic13—42no—
795C2×Dic13—42no—
796C2×Dic13—81no—
797C2×Dic13—81no—
798C2×Dic13C22×D411yescharacteristic
799C2×Dic13C22×D411yescharacteristic
800C2×Dic13C22×D411yescharacteristic
801C2×Dic13C22×D411yescharacteristic
802C2×Dic13C22×D411yescharacteristic
803C2×Dic13C22×D411yescharacteristic
804D52—22no—
805D52—21no—
806D52—21no—
807D52—21no—
808D52—21no—
809D52—81no—
810D52—81no—
811C4×D13—22no—
812C4×D13—21no—
813C4×D13—21no—
814C4×D13—21no—
815C4×D13—21no—
816C4×D13—41no—
817C4×D13—41no—
818C4×D13—41no—
819C4×D13—42no—
820C4×D13—42no—
821C4×D13—42no—
822C4×D13—42no—
823C4×D13—81no—
824C4×D13—81no—
825Dic26—21no—
826Dic26—21no—
827Dic26—21no—
828Dic26—21no—
829Dic26—41no—
830Dic26—81no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13C2×#4112yes—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055—21no—
840C2×AGL(1,ℤ/8)C2×D1311yescharacteristic
841C2×#135—131no—
842C22×D8—131no—
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554—131no—
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—131no—
865#546—261no—
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41C2×D1311yescharacteristic, complemented
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—261no—
886C2×C4×D4C2×D1311yescharacteristic, complemented
887C2×#117—261no—
888#501—131no—
889#501—131no—
890#499—131no—
891#497—131no—
892#496—131no—
893#495—131no—
894#491—131no—
895#490—131no—
896#489—131no—
897#489—131no—
898#488—131no—
899#488—131no—
900#485—131no—
901#485—131no—
902#484—131no—
903#484—131no—
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#482—131no—
909#482—131no—
910#480—131no—
911#480—131no—
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#475—131no—
921#474—131no—
922#474—131no—
923#474—131no—
924#470—131no—
925#469—131no—
926#468—131no—
927#468—131no—
928#467—131no—
929#467—131no—
930#466—131no—
931#466—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463—131no—
944#461—131no—
945#461—131no—
946#460—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#450—131no—
951#450—131no—
952#450—131no—
953#450—131no—
954#449—131no—
955#449—131no—
956#449—131no—
957#449—131no—
958#447—131no—
959#447—131no—
960#446—131no—
961#446—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#442—131no—
969#442—131no—
970#442—131no—
971#442C2×D1311yescharacteristic
972#442C2×D1311yescharacteristic, complemented
973#441—131no—
974#441—131no—
975#441—131no—
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440—131no—
983#440—131no—
984#440C2×D1311yescharacteristic, complemented
985#440C2×D1311yescharacteristic, complemented
986C4×SD16C2×D1311yescharacteristic, complemented
987C4×SD16C2×D1311yescharacteristic, complemented
988C4×D8C2×D1311yescharacteristic
989C4×D8C2×D1311yescharacteristic, complemented
990#435—131no—
991#435—131no—
992#435—131no—
993#435—131no—
994C8×D4—131no—
995C8×D4—131no—
996#432—131no—
997#432—131no—
998#432—131no—
999#428C2×D1311yescharacteristic, complemented
1000#427—131no—
1001C2×#106—131no—
1002#418C2×D1311yescharacteristic, complemented
1003#417C2×D1311yescharacteristic, complemented
1004#416—131no—
1005#416—131no—
1006C2×#102—131no—
1007C2×#102—131no—
1008C4×M16C2×D1311yescharacteristic, complemented
1009C2×#97—131no—
1010C2×#97—131no—
1011C22×C13—21no—
1012C22×C13—22no—
1013C22×C13—22no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—41no—
1017C22×C13—41no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—84no—
1024C22×C13C23×D411yescharacteristic
1025C2×D13—21no—
1026C2×D13—21no—
1027C2×D13—21no—
1028C2×D13—21no—
1029C2×D13—21no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—84no—
1037C2×D13—84no—
1038C2×D13#57512yes—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—21no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13C22×#4111yescharacteristic
1050C4×C13#58511yescharacteristic
1051Dic13—21no—
1052Dic13—21no—
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—21no—
1056Dic13—21no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—131no—
1066C2×#41—261no—
1067C2×#41C22×D1311yescharacteristic
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—261no—
1071C22×D4C22×D1311yescharacteristic
1072C23×C4—21no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—24no—
1076#135—264no—
1077C2×Q16—131no—
1078C2×Q16—131no—
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16C22×D1311yescharacteristic
1086C2×SD16C22×D1311yescharacteristic
1087C2×D8—131no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—264no—
1092C2×D8C22×D1311yescharacteristic
1093C2×D8C22×D1311yescharacteristic
1094C2×M16C22×D1311yescharacteristic
1095C2×M16C22×D1311yescharacteristic
1096C22×C8—131no—
1097C22×C8—131no—
1098C22×C8—131no—
1099C22×C8—131no—
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8—131no—
1103#127—131no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—131no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—261no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—131no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124—261no—
1130#123—261no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—131no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—131no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8—261no—
1160C22⋊Q8—261no—
1161C22⋊Q8—261no—
1162#121—131no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121—261no—
1178#120—261no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—261no—
1191C4×Q8C22×D1311yescharacteristic
1192C4×Q8C22×D1311yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—131no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4C22×D1311yescharacteristic
1229C4×D4C22×D1311yescharacteristic
1230C4×D4C22×D1311yescharacteristic
1231C4×D4C22×D1311yescharacteristic
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—21no—
1235#117—131no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—131no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117—261no—
1251#117C22×D1311yescharacteristic
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—131no—
1254C2×C4⋊C4—261no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4—261no—
1257C2×C4⋊C4C22×D1311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—21no—
1266C2×C42—131no—
1267C2×C42—131no—
1268C2×C42—261no—
1269C2×C42—261no—
1270C2×C42C22×D1311yescharacteristic
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107C22×D1311yescharacteristic
1278#107C22×D1311yescharacteristic
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106C22×D1311yescharacteristic
1286#106C22×D1311yescharacteristic
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8—131no—
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103—131no—
1302#103—131no—
1303#103C22×D1311yescharacteristic
1304#103C22×D1311yescharacteristic
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102C22×D1311yescharacteristic
1320#102C22×D1311yescharacteristic
1321#102C22×D1311yescharacteristic
1322#102C22×D1311yescharacteristic
1323#102C22×D1311yescharacteristic
1324#102C22×D1311yescharacteristic
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8—131no—
1330C22⋊C8—131no—
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335#97—131no—
1336#97—131no—
1337#97C22×D1311yescharacteristic
1338#97C22×D1311yescharacteristic
1339C4×C8C22×D1311yescharacteristic
1340C4×C8C22×D1311yescharacteristic
1341C2×C13—42no—
1342C2×C13—42no—
1343C2×C13—41no—
1344C2×C13—81no—
1345C2×C13D4×#4111yescharacteristic
1346C2×C13C2×#57511yescharacteristic
1347C2×C13#358511yescharacteristic
1348D13—22no—
1349D13—41no—
1350D13—81no—
1351D13—81no—
1352C24—21no—
1353C24—261no—
1354C24—261no—
1355#41—22no—
1356#41—41no—
1357#41—262no—
1358#41—262no—
1359#41—522no—
1360#41—521no—
1361#41—521no—
1362#41—1042no—
1363C2×Q8—131no—
1364C2×Q8—131no—
1365C2×Q8—131no—
1366C2×Q8—261no—
1367C2×Q8—261no—
1368C2×Q8C23×D1311yescharacteristic
1369C2×D4—22no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—131no—
1374C2×D4—131no—
1375C2×D4—131no—
1376C2×D4—131no—
1377C2×D4—131no—
1378C2×D4—261no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—262no—
1385C2×D4—262no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—261no—
1392C2×D4—521no—
1393C2×D4—521no—
1394C2×D4—524no—
1395C2×D4C23×D1311yescharacteristic
1396C2×D4C23×D1311yescharacteristic
1397C2×D4C23×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—82no—
1407C22×C4—131no—
1408C22×C4—131no—
1409C22×C4—131no—
1410C22×C4—131no—
1411C22×C4—131no—
1412C22×C4—131no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—261no—
1425C22×C4—524no—
1426C22×C4—1042no—
1427C22×C4D4×D1311yescharacteristic
1428C22×C4D4×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—262no—
1431Q16—521no—
1432SD16—22no—
1433SD16—22no—
1434SD16—262no—
1435SD16—262no—
1436SD16—521no—
1437SD16—521no—
1438SD16—521no—
1439SD16—521no—
1440D8—22no—
1441D8—262no—
1442D8—262no—
1443D8—262no—
1444D8—521no—
1445D8#612714yescomplemented
1446M16—22no—
1447M16—41no—
1448C2×C8—131no—
1449C2×C8—131no—
1450C2×C8—131no—
1451C2×C8—131no—
1452C2×C8—262no—
1453C2×C8—262no—
1454C2×C8—521no—
1455C2×C8—521no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—131no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—131no—
1472C4⋊C4—131no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4—261no—
1495C4⋊C4—261no—
1496C4⋊C4—261no—
1497C4⋊C4C23×D1311yescharacteristic
1498C4⋊C4C23×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—131no—
1509C22⋊C4—131no—
1510C22⋊C4—131no—
1511C22⋊C4—131no—
1512C22⋊C4—131no—
1513C22⋊C4—131no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4—261no—
1543C22⋊C4—261no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—131no—
1548C42—131no—
1549C42—131no—
1550C42—131no—
1551C42—131no—
1552C42—131no—
1553C42—261no—
1554C42—261no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42D4×D1311yescharacteristic
1560C42D4×D1311yescharacteristic
1561C42C23×D1311yescharacteristic
1562C42C23×D1311yescharacteristic
1563C13#6145411yescharacteristic, complemented, Sylow
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—131no—
1571C23—131no—
1572C23—261no—
1573C23—261no—
1574C23—522no—
1575C23—522no—
1576C23—522no—
1577C23—522no—
1578C23—1041no—
1579C23—1041no—
1580C23C2×D4×D1311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—261no—
1584Q8—261no—
1585Q8—261no—
1586Q8—261no—
1587Q8—521no—
1588Q8—1041no—
1589Q8—1041no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—42no—
1595D4—42no—
1596D4—262no—
1597D4—262no—
1598D4—261no—
1599D4—261no—
1600D4—261no—
1601D4—261no—
1602D4—521no—
1603D4—522no—
1604D4—522no—
1605D4—522no—
1606D4—522no—
1607D4—522no—
1608D4—522no—
1609D4—522no—
1610D4—1041no—
1611D4—1041no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4C2×#612712yes—
1616D4C2×#612712yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—131no—
1635C2×C4—131no—
1636C2×C4—131no—
1637C2×C4—131no—
1638C2×C4—131no—
1639C2×C4—131no—
1640C2×C4—262no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—261no—
1650C2×C4—261no—
1651C2×C4—521no—
1652C2×C4—521no—
1653C2×C4—521no—
1654C2×C4—522no—
1655C2×C4—522no—
1656C2×C4—522no—
1657C2×C4—522no—
1658C2×C4—522no—
1659C2×C4—522no—
1660C2×C4—522no—
1661C2×C4—522no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4C2×D4×D1311yescharacteristic
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—261no—
1676C8—261no—
1677C8—261no—
1678C8—261no—
1679C8C2×#612712yes—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—22no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—84no—
1693C22—132no—
1694C22—261no—
1695C22—261no—
1696C22—261no—
1697C22—261no—
1698C22—261no—
1699C22—521no—
1700C22—521no—
1701C22—521no—
1702C22—521no—
1703C22—521no—
1704C22—521no—
1705C22—1044no—
1706C22—1044no—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—261no—
1719C4—261no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—261no—
1724C4—521no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C22×#612711yescharacteristic
1731C4#1171964811yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—42no—
1735C2—81no—
1736C2—262no—
1737C2—521no—
1738C2—1041no—
1739C2—1041no—
1740C2D4×#612711yescharacteristic
1741C2D13×#57511yescharacteristic
1742C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC4×C13×AGL(1,ℤ/8)C2
socleC22×C13C23×D4
hypercenterC4×AGL(1,ℤ/8)D13
hypocenterC13#61454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #13128440C2semidirect
2. #13128398C2semidirect
3. #13127898C2semidirect
4. #13127792C2semidirect
5. #13127659C2semidirect
6. #13127585C2semidirect
7. #13127337C2semidirect
8. #13127292C2semidirect
9. #13127220C2semidirect
10. #13126993C2semidirect
11. #13126918C2semidirect
12. #13126858C2semidirect
13. #13126813C2semidirect
14. #13126691C2semidirect
15. #13126676C2semidirect
16. #13126522C2semidirect
17. #13126355C2semidirect
18. #13126310C2semidirect
19. #13125565C2semidirect
20. #13125541C2semidirect
21. #13125530C2semidirect
22. #13124983C2semidirect
23. #13124974C2semidirect
24. #13124972C2semidirect
25. #13124949C2semidirect
26. #13124945C2semidirect
27. #13124933C2semidirect
28. #13123851C2semidirect
29. #13123633C2semidirect
30. D13×#442C2semidirect
31. C4×C13×AGL(1,ℤ/8)C2semidirect
33. C4×C13×#41C22semidirect
34. C2×C4×D4×C13C22semidirect
36. #11719529C22semidirect
37. #11719511C22semidirect
43. #11719286C22semidirect
44. #11719285C22semidirect
45. #11719283C22semidirect
46. #11719273C22semidirect
47. #11719264C22semidirect
53. #11719259C22semidirect
54. #11719253C22semidirect
58. C4×D4×D13C22semidirect
61. #11719244C22semidirect
62. #11719244C22semidirect
65. C4×#6129C22semidirect
66. C4×#6129C22semidirect
67. #11719237C22semidirect
71. #11719219C22semidirect
76. #11719184C22semidirect
77. #11719184C22semidirect
81. C13×#442C22semidirect
82. C13×#440C22semidirect
83. C13×#440C22semidirect
84. C4×C13×SD16C22semidirect
85. C4×C13×SD16C22semidirect
87. C4×C13×D8C22semidirect
88. C13×#428C22semidirect
89. C13×#418C22semidirect
90. C13×#417C22semidirect
91. C4×C13×M16C22semidirect
92. #11718900C22semidirect
94. #11718879C22semidirect
97. #11718834C22semidirect
99. #11718832C22semidirect
101. #11718828C22semidirect
103. #11718823C22semidirect
104. #11718819C22semidirect
106. #11718814C22semidirect
110. #11718798C22semidirect
112. #11718795C22semidirect
113. #11718795C22semidirect
116. #11718788C22semidirect
117. #11718788C22semidirect
118. #11718691C22semidirect
119. #11718689C22semidirect
120. #11718687C22semidirect
121. #11718683C22semidirect
122. #11718679C22semidirect
123. #11718679C22semidirect
124. #11718679C22semidirect
126. #11718677C22semidirect
127. #11718677C22semidirect
129. #11718675C22semidirect
130. #11718675C22semidirect
131. #11718670C22semidirect
132. #11718670C22semidirect
133. #11718670C22semidirect
134. #11718664C22semidirect
135. #11718657C22semidirect
136. #11718632C22semidirect
137. #11718628C22semidirect
138. #11718587C22semidirect
139. #11718551C22semidirect
140. #11718548C22semidirect
141. #11718546C22semidirect
142. #11718545C22semidirect
143. #11718544C22semidirect
144. #11718538C22semidirect
145. #11718537C22semidirect
146. #11718537C22semidirect
147. #11718532C22semidirect
148. #11718530C22semidirect
149. #11718527C22semidirect
150. #11718523C22semidirect
151. #11718521C22semidirect
152. D13×#106C22semidirect
153. #11718515C22semidirect
154. #11718514C22semidirect
155. #11718479C22semidirect
156. #11718475C22semidirect
157. #11718474C22semidirect
158. #11718470C22semidirect
159. #11718468C22semidirect
160. #11718459C22semidirect
161. #11718458C22semidirect
162. #11718456C22semidirect
163. #11718448C22semidirect
165. #11718446C22semidirect
166. #11718445C22semidirect
168. #11718442C22semidirect
171. #11718437C22semidirect
172. #11718436C22semidirect
174. #11718433C22semidirect
175. #11718433C22semidirect
177. D13×#102C22semidirect
178. #11718427C22semidirect
179. #11718427C22semidirect
180. #11718426C22semidirect
181. #11718425C22semidirect
182. #11718423C22semidirect
183. #11718420C22semidirect
184. #11718420C22semidirect
185. #11718418C22semidirect
186. #11718418C22semidirect
187. #11718377C22semidirect
188. #11718372C22semidirect
189. #11718371C22semidirect
190. #11718371C22semidirect
191. #11718366C22semidirect
192. #11718366C22semidirect
193. D13×#97C22semidirect
194. D13×#97C22semidirect
195. #11718358C22semidirect
196. #11718358C22semidirect
197. #11718357C22semidirect
198. C8×D52C22semidirect
199. C8×D52C22semidirect
200. #11718344C22semidirect
201. #11718340C22semidirect
202. #11718340C22semidirect
563. C13×D8#41semidirect
721. C4×AGL(1,ℤ/8)D13semidirect
882. C4×#41C2×D13semidirect
886. C2×C4×D4C2×D13semidirect
972. #442C2×D13semidirect
984. #440C2×D13semidirect
985. #440C2×D13semidirect
986. C4×SD16C2×D13semidirect
987. C4×SD16C2×D13semidirect
989. C4×D8C2×D13semidirect
999. #428C2×D13semidirect
1002. #418C2×D13semidirect
1003. #417C2×D13semidirect
1008. C4×M16C2×D13semidirect
1445. D8#6127semidirect
1563. C13#61454semidirect

Maximal subgroups

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

subgroupindex
#131284402
#131283982
#131278982
#131277922
#131276592
#131275852
#131273372
#131272922
#131272202
#131269932
#131269182
#131268582
#131268132
#131266912
#131266762
#131265222
#131263552
#131263102
#131255652
#131255412
#131255302
#131249832
#131249742
#131249722
#131249492
#131249452
#131249332
#131238512
#131236332
D13×#4422
C4×C13×AGL(1,ℤ/8)2
#6145413