Finite Group Databasebeta

← #16749988

Subgroups — #16749988

Order 3328.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128602C211yesmaximal, characteristic, complemented
2#13127098C211yesmaximal, characteristic, complemented
3#13127083C211yesmaximal, characteristic, complemented
4#13127001C211yesmaximal, characteristic, complemented
5#13126956C211yesmaximal, characteristic, complemented
6#13126881C211yesmaximal, characteristic, complemented
7#13126836C211yesmaximal, characteristic, complemented
8#13126732C211yesmaximal, characteristic, complemented
9#13126717C211yesmaximal, characteristic, complemented
10#13126573C211yesmaximal, characteristic, complemented
11#13126539C211yesmaximal, characteristic, complemented
12#13126489C211yesmaximal, characteristic, complemented
13#13126463C211yesmaximal, characteristic, complemented
14#13126422C211yesmaximal, characteristic, complemented
15#13126402C211yesmaximal, characteristic, complemented
16#13126372C211yesmaximal, characteristic, complemented
17#13126342C211yesmaximal, characteristic, complemented
18#13125869C211yesmaximal, characteristic, complemented
19#13125808C211yesmaximal, characteristic, complemented
20#13125742C211yesmaximal, characteristic, complemented
21#13125733C211yesmaximal, characteristic, complemented
22#13125718C211yesmaximal, characteristic, complemented
23#13125688C211yesmaximal, characteristic, complemented
24#13125003C211yesmaximal, characteristic, complemented
25#13124912C211yesmaximal, characteristic, complemented
26#13124148C211yesmaximal, characteristic, complemented
27#13124148C211yesmaximal, characteristic, complemented
28#13124129C211yesmaximal, characteristic, complemented
29#13124120C211yesmaximal, characteristic, complemented
30#13123912C211yesmaximal, characteristic, complemented
31C13×#3551C211yesmaximal, characteristic, complemented
32C2×#88257C2211yescharacteristic
33C2×#88257C2211yescharacteristic, complemented
34C13×#563—21no—
35C13×#560—21no—
36C13×#555—21no—
37C13×#553C2211yescharacteristic
38C13×#553C2211yescharacteristic
39C13×#552C2211yescharacteristic
40C13×#552C2211yescharacteristic
41C13×#551—21no—
42C13×#548C2211yescharacteristic
43C13×#548C2211yescharacteristic
44C13×#546C2211yescharacteristic
45C13×#546C2211yescharacteristic
46C13×#540—21no—
47C13×#540—21no—
48C13×#538—21no—
49C13×#538—21no—
50C13×#537C2211yescharacteristic
51C13×#537C2211yescharacteristic
52C13×#536C2211yescharacteristic
53C13×#535C2211yescharacteristic
54C13×#532C2211yescharacteristic
55C13×#529C2211yescharacteristic
56C13×#529C2211yescharacteristic
57#11719538C2211yescharacteristic
58#11719538C2211yescharacteristic, complemented
59C2×#88205C2211yescharacteristic
60C2×#88205C2211yescharacteristic
61C2×#88204C2211yescharacteristic
62C2×#88204C2211yescharacteristic
63C22×#6107C2211yescharacteristic, complemented
64C2×#88196C2211yescharacteristic, complemented
65C22×#6105C2211yescharacteristic
66C2×#88186C2211yescharacteristic
67#11719432—21no—
68#11719423—21no—
69#11719382—21no—
70#11719382—21no—
71#11719302—21no—
72#11719302—21no—
73#11719301—21no—
74#11719301—21no—
75#11719258C2211yescharacteristic
76#11719258C2211yescharacteristic, complemented
77#11719257C2211yescharacteristic
78#11719257C2211yescharacteristic
79#11719257C2211yescharacteristic, complemented
80#11719257C2211yescharacteristic, complemented
81D4×Dic26C2211yescharacteristic
82D4×Dic26C2211yescharacteristic, complemented
83#11719182C2211yescharacteristic, complemented
84C2×C4×Dic26C2211yescharacteristic, complemented
85#11718900C2211yescharacteristic
86#11718900C2211yescharacteristic
87#11718899C2211yescharacteristic
88#11718899C2211yescharacteristic
89#11718895C2211yescharacteristic
90#11718895C2211yescharacteristic
91#11718895C2211yescharacteristic, complemented
92#11718895C2211yescharacteristic, complemented
93#11718889C2211yescharacteristic, complemented
94#11718888C2211yescharacteristic, complemented
95#11718879C2211yescharacteristic
96#11718878C2211yescharacteristic
97#11718730C2211yescharacteristic, complemented
98#11718729C2211yescharacteristic, complemented
99#11718729C2211yescharacteristic, complemented
100#11718728C2211yescharacteristic, complemented
101#11718724C2211yescharacteristic, complemented
102#11718724C2211yescharacteristic, complemented
103#11718724C2211yescharacteristic, complemented
104#11718724C2211yescharacteristic, complemented
105#11718721C2211yescharacteristic
106#11718720C2211yescharacteristic
107#11718720C2211yescharacteristic
108#11718719C2211yescharacteristic
109#11718715C2211yescharacteristic
110#11718715C2211yescharacteristic
111#11718715C2211yescharacteristic
112#11718715C2211yescharacteristic
113#11718713C2211yescharacteristic
114#11718713C2211yescharacteristic, complemented
115#11718712C2211yescharacteristic
116#11718712C2211yescharacteristic, complemented
117#11718711C2211yescharacteristic
118#11718711C2211yescharacteristic
119#11718711C2211yescharacteristic, complemented
120#11718711C2211yescharacteristic, complemented
121#11718711C2211yescharacteristic, complemented
122#11718711C2211yescharacteristic, complemented
123#11718710C2211yescharacteristic
124#11718710C2211yescharacteristic, complemented
125#11718709C2211yescharacteristic
126#11718709C2211yescharacteristic, complemented
127#11718708C2211yescharacteristic
128#11718708C2211yescharacteristic
129#11718708C2211yescharacteristic, complemented
130#11718708C2211yescharacteristic, complemented
131#11718708C2211yescharacteristic, complemented
132#11718708C2211yescharacteristic, complemented
133#11718708C2211yescharacteristic, complemented
134#11718708C2211yescharacteristic, complemented
135#11718705C2211yescharacteristic, complemented
136#11718704C2211yescharacteristic, complemented
137#11718703C2211yescharacteristic
138#11718703C2211yescharacteristic
139#11718702C2211yescharacteristic
140#11718702C2211yescharacteristic
141#11718701C2211yescharacteristic
142#11718701C2211yescharacteristic
143#11718701C2211yescharacteristic
144#11718701C2211yescharacteristic
145#11718701C2211yescharacteristic
146#11718701C2211yescharacteristic
147#11718700C2211yescharacteristic
148#11718700C2211yescharacteristic
149#11718699C2211yescharacteristic
150#11718699C2211yescharacteristic
151#11718698C2211yescharacteristic
152#11718698C2211yescharacteristic
153#11718698C2211yescharacteristic
154#11718698C2211yescharacteristic
155#11718698C2211yescharacteristic
156#11718698C2211yescharacteristic
157#11718698C2211yescharacteristic
158#11718698C2211yescharacteristic
159#11718695C2211yescharacteristic
160#11718694C2211yescharacteristic
161#11718692C2211yescharacteristic, complemented
162#11718691C2211yescharacteristic, complemented
163#11718691C2211yescharacteristic, complemented
164C4×#6107C2211yescharacteristic, complemented
165C4×#6107C2211yescharacteristic, complemented
166#11718689C2211yescharacteristic, complemented
167#11718689C2211yescharacteristic, complemented
168#11718688C2211yescharacteristic, complemented
169#11718680C2211yescharacteristic
170#11718679C2211yescharacteristic
171#11718679C2211yescharacteristic
172C4×#6105C2211yescharacteristic
173C4×#6105C2211yescharacteristic
174#11718677C2211yescharacteristic
175#11718677C2211yescharacteristic
176#11718676C2211yescharacteristic
177#11718673C2211yescharacteristic
178#11718673C2211yescharacteristic, complemented
179#11718672C2211yescharacteristic
180#11718672C2211yescharacteristic
181#11718672C2211yescharacteristic, complemented
182#11718672C2211yescharacteristic, complemented
183D4×#1055C2211yescharacteristic
184D4×#1055C2211yescharacteristic, complemented
185#11718665C2211yescharacteristic
186#11718665C2211yescharacteristic, complemented
187#11718664C2211yescharacteristic
188#11718664C2211yescharacteristic, complemented
189#11718663C2211yescharacteristic
190#11718663C2211yescharacteristic, complemented
191#11718657C2211yescharacteristic
192#11718657C2211yescharacteristic, complemented
193#11718632C2211yescharacteristic, complemented
194#11718631C2211yescharacteristic, complemented
195C2×#88050C2211yescharacteristic, complemented
196C2×#88050C2211yescharacteristic, complemented
197#11718629C2211yescharacteristic, complemented
198#11718628C2211yescharacteristic, complemented
199#11718627C2211yescharacteristic, complemented
200#11718627C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718586C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C2×C13×#41C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic
208C22×D4×C13C2311yescharacteristic
209#88257—42no—
210#88257—42no—
211#88257—42no—
212#88257—42no—
213C2×Q8×D13—21no—
214C2×Q8×D13—21no—
215C2×#6129—21no—
216C2×#6129—21no—
217C2×#6129—21no—
218C2×#6129—21no—
219C2×#6129—21no—
220C2×#6129—21no—
221C2×#6127C2311yescharacteristic
222C2×#6127C2311yescharacteristic
223C2×#6127C2311yescharacteristic
224C2×#6127C2311yescharacteristic
225C2×#6127C2311yescharacteristic
226C2×#6127C2311yescharacteristic
227C22×Dic26C2311yescharacteristic
228C22×Dic26C2311yescharacteristic
229C22×Dic26C2311yescharacteristic
230C22×Dic26C2311yescharacteristic
231C22×Dic26C2311yescharacteristic
232C13×C4⋊Q8—21no—
233C13×C4⋊Q8D411yescharacteristic
234C13×#127—21no—
235C13×#127D411yescharacteristic
236C13×#126—21no—
237C13×#126—21no—
238C13×#126—21no—
239C13×#126—21no—
240C13×#126—21no—
241C13×#126—21no—
242C13×#125—21no—
243C13×#125—21no—
244C13×#125C2311yescharacteristic
245C13×#125C2311yescharacteristic
246C13×#124—21no—
247C13×#124—21no—
248C13×#124—21no—
249C13×#124—21no—
250C13×#124D411yescharacteristic
251C13×#124D411yescharacteristic
252C13×#124C2311yescharacteristic
253C13×#124C2311yescharacteristic
254C13×#123—21no—
255C13×#123—21no—
256C13×#123—21no—
257C13×#123—21no—
258C13×#123—21no—
259C13×#123—21no—
260C13×#123—21no—
261C13×#123—21no—
262C13×#123—21no—
263C13×#123—21no—
264C13×C22⋊Q8—21no—
265C13×C22⋊Q8—21no—
266C13×C22⋊Q8—21no—
267C13×C22⋊Q8—21no—
268C13×C22⋊Q8C2311yescharacteristic
269C13×C22⋊Q8C2311yescharacteristic
270C13×C22⋊Q8C2311yescharacteristic
271C13×C22⋊Q8C2311yescharacteristic
272C13×C22⋊Q8C2311yescharacteristic
273C13×C22⋊Q8C2311yescharacteristic
274C13×#121—21no—
275C13×#121—21no—
276C13×#121—21no—
277C13×#121—21no—
278C13×#121—21no—
279C13×#121—21no—
280C13×#121—21no—
281C13×#121—21no—
282C13×#121—21no—
283C13×#121—21no—
284C13×#121—21no—
285C13×#121—21no—
286C13×#121D411yescharacteristic
287C13×#121D411yescharacteristic
288C13×#121D411yescharacteristic
289C13×#121D411yescharacteristic
290C13×#121C2311yescharacteristic
291C13×#121C2311yescharacteristic
292C13×#121C2311yescharacteristic
293C13×#121C2311yescharacteristic
294C13×#121C2311yescharacteristic
295C13×#121C2311yescharacteristic
296C13×#120—21no—
297C13×#120—21no—
298C13×#120—21no—
299C13×#120—21no—
300C4×Q8×C13C2311yescharacteristic
301C4×Q8×C13C2311yescharacteristic
302C4×D4×C13—21no—
303C4×D4×C13—21no—
304C4×D4×C13—21no—
305C4×D4×C13—21no—
306C4×D4×C13—21no—
307C4×D4×C13—21no—
308C4×D4×C13C2311yescharacteristic
309C4×D4×C13C2311yescharacteristic
310C4×D4×C13C2311yescharacteristic
311C4×D4×C13C2311yescharacteristic
312C4×D4×C13C2311yescharacteristic
313C4×D4×C13C2311yescharacteristic
314C13×#117—21no—
315C13×#117—21no—
316C13×#117—21no—
317C13×#117—21no—
318C13×#117C2311yescharacteristic
319C13×#117C2311yescharacteristic
320C2×C13×C4⋊C4C2311yescharacteristic
321C2×C13×C4⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4—21no—
323C2×C13×C22⋊C4—21no—
324C2×C42×C13C2311yescharacteristic
325#88205—42no—
326#88205—42no—
327#88204—42no—
328#88204—42no—
329#88200—21no—
330#88200—21no—
331C2×#6107—42no—
332C2×#6107C2311yescharacteristic
333C2×#6107C2311yescharacteristic
334C2×#6107C2311yescharacteristic
335C2×#6107C2311yescharacteristic
336C2×#6107C2311yescharacteristic
337C2×#6107C2311yescharacteristic
338C2×#6107C2311yescharacteristic
339C2×#6107C2311yescharacteristic
340#88196—42no—
341C2×#6106C2311yescharacteristic
342C2×#6106C2311yescharacteristic
343C2×#6106C2311yescharacteristic
344C2×#6106C2311yescharacteristic
345#88194—21no—
346#88194—21no—
347#88193—21no—
348#88193—21no—
349#88193—21no—
350#88193—21no—
351#88193—21no—
352#88193—21no—
353#88193—21no—
354#88193—21no—
355#88192—21no—
356#88192—21no—
357D4×Dic13—21no—
358D4×Dic13—21no—
359C2×#6105—42no—
360C2×#6105C2311yescharacteristic
361C2×#6105C2311yescharacteristic
362C2×#6105C2311yescharacteristic
363C2×#6105C2311yescharacteristic
364C2×#6105C2311yescharacteristic
365C2×#6105C2311yescharacteristic
366C2×#6105C2311yescharacteristic
367C2×#6105C2311yescharacteristic
368#88186—42no—
369C2×#6104C2311yescharacteristic
370C2×#6104C2311yescharacteristic
371C2×#6104C2311yescharacteristic
372C2×#6104C2311yescharacteristic
373#88184—21no—
374#88184—21no—
375#88184C2311yescharacteristic
376#88184C2311yescharacteristic
377#88184C2311yescharacteristic
378#88184C2311yescharacteristic
379C2×C4⋊Dic13C2311yescharacteristic
380#88178C2311yescharacteristic
381#88178C2311yescharacteristic
382#88178C2311yescharacteristic
383#88178C2311yescharacteristic
384C2×#6101—21no—
385C2×C4×Dic13—21no—
386C2×#6099C2311yescharacteristic
387C2×#6099C2311yescharacteristic
388C2×#6099C2311yescharacteristic
389C2×#6099C2311yescharacteristic
390C22×#1055C2311yescharacteristic
391C22×#1055C2311yescharacteristic
392C22×#1055C2311yescharacteristic
393C22×#1055C2311yescharacteristic
394#88150—21no—
395#88150—21no—
396#88150—21no—
397#88150—21no—
398#88147—21no—
399#88147—21no—
400#88142—21no—
401#88142—21no—
402#88139—21no—
403#88139—21no—
404#88139—21no—
405#88139—21no—
406#88138—21no—
407#88138—21no—
408#88138—21no—
409#88138—21no—
410#88135—21no—
411#88135—21no—
412#88135—21no—
413#88135—21no—
414#88132—21no—
415#88132—21no—
416#88132—21no—
417#88132—21no—
418#88129C2311yescharacteristic
419#88129C2311yescharacteristic
420#88128C2311yescharacteristic
421C4×D52—21no—
422C4×D52—21no—
423#88123C2311yescharacteristic
424C4×Dic26—21no—
425C4×Dic26—21no—
426C4×Dic26C2311yescharacteristic
427C4×Dic26C2311yescharacteristic
428C4×Dic26C2311yescharacteristic
429C4×Dic26C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432#88075C2311yescharacteristic
433#88075C2311yescharacteristic
434#88072C2311yescharacteristic
435#88072C2311yescharacteristic
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438C22⋊#1055C2311yescharacteristic
439C22⋊#1055C2311yescharacteristic
440C22⋊#1055C2311yescharacteristic
441C22⋊#1055C2311yescharacteristic
442C22⋊#1055C2311yescharacteristic
443C22⋊#1055C2311yescharacteristic
444C22⋊#1055C2311yescharacteristic
445C22⋊#1055C2311yescharacteristic
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic
448C22⋊#1055C2311yescharacteristic
449C22⋊#1055C2311yescharacteristic
450#88050C2311yescharacteristic
451#88050C2311yescharacteristic
452#88050C2311yescharacteristic
453#88050C2311yescharacteristic
454#88050C2311yescharacteristic
455#88050C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
458#88050C2311yescharacteristic
459#88050C2311yescharacteristic
460#88050C2311yescharacteristic
461#88050C2311yescharacteristic
462#88050C2311yescharacteristic
463#88050C2311yescharacteristic
464#88050C2311yescharacteristic
465#88050C2311yescharacteristic
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#88047C2311yescharacteristic
479#88047C2311yescharacteristic
480#88047C2311yescharacteristic
481#88047C2311yescharacteristic
482C4⋊#1055C2311yescharacteristic
483C4⋊#1055C2311yescharacteristic
484C4⋊#1055C2311yescharacteristic
485C4⋊#1055C2311yescharacteristic
486#88043C2311yescharacteristic
487#88043C2311yescharacteristic
488C4×#1055C2311yescharacteristic
489C4×#1055C2311yescharacteristic
490#61681—131nomaximal, Sylow
491C24×C13—21no—
492C13×#41—41no—
493C13×#41—41no—
494C13×#41—41no—
495C13×#41—41no—
496C13×#41—41no—
497C13×#41—41no—
498C13×#41—41no—
499C13×#41—41no—
500C2×Q8×C13—21no—
501C2×Q8×C13—41no—
502C2×Q8×C13—41no—
503C2×Q8×C13C2×D411yescharacteristic
504C2×Q8×C13C2×D411yescharacteristic
505C2×Q8×C13C2411yescharacteristic
506C2×Q8×C13C2411yescharacteristic
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—21no—
515C2×D4×C13—21no—
516C2×D4×C13—41no—
517C2×D4×C13—41no—
518C2×D4×C13C2×D411yescharacteristic
519C2×D4×C13C2×D411yescharacteristic
520C2×D4×C13C2×D411yescharacteristic
521C2×D4×C13C2×D411yescharacteristic
522C2×D4×C13C2×D411yescharacteristic
523C2×D4×C13C2×D411yescharacteristic
524C2×D4×C13C2×D411yescharacteristic
525C2×D4×C13C2×D411yescharacteristic
526C2×D4×C13C2×D411yescharacteristic
527C2×D4×C13C2×D411yescharacteristic
528C2×D4×C13C2411yescharacteristic
529C2×D4×C13C2411yescharacteristic
530C22×C4×C13—21no—
531C22×C4×C13—21no—
532C22×C4×C13—21no—
533C22×C4×C13—21no—
534C22×C4×C13—21no—
535C22×C4×C13—21no—
536C22×C4×C13—21no—
537C22×C4×C13C2×D411yescharacteristic
538C22×C4×C13C2×D411yescharacteristic
539C22×C4×C13C2411yescharacteristic
540C22×C4×C13C2411yescharacteristic
541C22×C4×C13C2411yescharacteristic
542C22×C4×C13C2411yescharacteristic
543C22×C4×C13C2411yescharacteristic
544C2×C22⋊D13—21no—
545C2×C22⋊D13—21no—
546C2×C22⋊D13—21no—
547C2×C22⋊D13—21no—
548C2×C22⋊D13—21no—
549C2×C22⋊D13—21no—
550C2×C22⋊D13—21no—
551C2×C22⋊D13—21no—
552C2×C22⋊D13—21no—
553C2×C22⋊D13—21no—
554C22×Dic13—21no—
555C22×Dic13—21no—
556C22×Dic13—21no—
557C22×Dic13—21no—
558C22×Dic13—21no—
559C22×Dic13—21no—
560Q8×D13—44no—
561Q8×D13—44no—
562#6129—44no—
563#6129—44no—
564#6129—44no—
565#6129—44no—
566#6129—44no—
567#6129—44no—
568#6127—22no—
569#6127—22no—
570#6127—22no—
571#6127—22no—
572#6127—41no—
573#6127—41no—
574#6127—41no—
575#6127—41no—
576#6127—41no—
577#6127—41no—
578#6127—41no—
579#6127—41no—
580C2×D52—21no—
581C2×D52—21no—
582C2×D52C2411yescharacteristic
583C2×D52C2411yescharacteristic
584C2×C4×D13—21no—
585C2×C4×D13—21no—
586C2×C4×D13—21no—
587C2×C4×D13—21no—
588C2×C4×D13—21no—
589C2×C4×D13—21no—
590C2×Dic26—21no—
591C2×Dic26—22no—
592C2×Dic26—22no—
593C2×Dic26—22no—
594C2×Dic26—22no—
595C2×Dic26—22no—
596C2×Dic26—22no—
597C2×Dic26—21no—
598C2×Dic26—21no—
599C2×Dic26—21no—
600C2×Dic26—21no—
601C2×Dic26—41no—
602C2×Dic26—41no—
603C2×Dic26—41no—
604C2×Dic26—41no—
605C2×Dic26C2411yescharacteristic
606C2×Dic26C2411yescharacteristic
607C2×Dic26C2411yescharacteristic
608C2×Dic26C2411yescharacteristic
609C13×C4⋊C4—21no—
610C13×C4⋊C4—21no—
611C13×C4⋊C4—21no—
612C13×C4⋊C4—21no—
613C13×C4⋊C4—21no—
614C13×C4⋊C4—21no—
615C13×C4⋊C4—21no—
616C13×C4⋊C4—21no—
617C13×C4⋊C4—21no—
618C13×C4⋊C4—21no—
619C13×C4⋊C4—21no—
620C13×C4⋊C4—21no—
621C13×C4⋊C4—21no—
622C13×C4⋊C4—21no—
623C13×C4⋊C4C2×D411yescharacteristic
624C13×C4⋊C4C2×D411yescharacteristic
625C13×C4⋊C4C2×D411yescharacteristic
626C13×C4⋊C4C2×D411yescharacteristic
627C13×C4⋊C4C2411yescharacteristic
628C13×C4⋊C4C2411yescharacteristic
629C13×C4⋊C4C2411yescharacteristic
630C13×C4⋊C4C2411yescharacteristic
631C13×C22⋊C4—21no—
632C13×C22⋊C4—21no—
633C13×C22⋊C4—21no—
634C13×C22⋊C4—21no—
635C13×C22⋊C4—21no—
636C13×C22⋊C4—21no—
637C13×C22⋊C4—21no—
638C13×C22⋊C4—21no—
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4—21no—
642C13×C22⋊C4—21no—
643C13×C22⋊C4—21no—
644C13×C22⋊C4—21no—
645C13×C22⋊C4—21no—
646C13×C22⋊C4—21no—
647C13×C22⋊C4—21no—
648C13×C22⋊C4—21no—
649C13×C22⋊C4—21no—
650C13×C22⋊C4—21no—
651C13×C22⋊C4C2×D411yescharacteristic
652C13×C22⋊C4C2×D411yescharacteristic
653C13×C22⋊C4C2×D411yescharacteristic
654C13×C22⋊C4C2×D411yescharacteristic
655C13×C22⋊C4C2×D411yescharacteristic
656C13×C22⋊C4C2×D411yescharacteristic
657C13×C22⋊C4C2×D411yescharacteristic
658C13×C22⋊C4C2×D411yescharacteristic
659C42×C13—21no—
660C42×C13—21no—
661C42×C13—21no—
662C42×C13—21no—
663C42×C13C2×D411yescharacteristic
664C42×C13C2×D411yescharacteristic
665C42×C13C2411yescharacteristic
666C42×C13C2411yescharacteristic
667C22⋊Dic13—21no—
668C22⋊Dic13—21no—
669C22⋊Dic13—21no—
670C22⋊Dic13—21no—
671#6107—22no—
672#6107—22no—
673#6107—22no—
674#6107—22no—
675#6107—41no—
676#6107—41no—
677#6107—41no—
678#6107—41no—
679#6106—41no—
680#6106—41no—
681#6106—41no—
682#6106—41no—
683#6105—22no—
684#6105—22no—
685#6105—22no—
686#6105—22no—
687#6105—41no—
688#6105—41no—
689#6105—41no—
690#6105—41no—
691#6104—41no—
692#6104—41no—
693#6104—41no—
694#6104—41no—
695#6103—21no—
696#6103—21no—
697#6103—21no—
698#6103—21no—
699#6103—21no—
700#6103—21no—
701#6103—21no—
702#6103—21no—
703C4⋊Dic13—21no—
704C4⋊Dic13—21no—
705C4⋊Dic13—21no—
706C4⋊Dic13C2411yescharacteristic
707C4⋊Dic13C2411yescharacteristic
708#6101—21no—
709#6101—21no—
710#6101—21no—
711#6101—21no—
712#6101—21no—
713#6101—21no—
714#6101—21no—
715#6101—21no—
716C4×Dic13—21no—
717C4×Dic13—21no—
718C4×Dic13—21no—
719C4×Dic13—21no—
720#6099—41no—
721#6099—41no—
722#6099—41no—
723#6099—41no—
724C2×#1055—41no—
725C2×#1055—41no—
726C2×#1055—41no—
727C2×#1055—41no—
728C2×#1055C2411yescharacteristic
729C2×#1055C2411yescharacteristic
730C2×#1055C2411yescharacteristic
731C2×#1055C2411yescharacteristic
732C2×#1055C2411yescharacteristic
733C2×#1055C2411yescharacteristic
734C2×#1055C2411yescharacteristic
735C2×#1055C2411yescharacteristic
736#3551D1311yescharacteristic, complemented
737#3497—131no—
738#3327—131no—
739#3326—131no—
740#3320—131no—
741#3317—131no—
742#3312—131no—
743#3309—131no—
744#3301—131no—
745#3300—131no—
746#3285—131no—
747#3282—131no—
748#3277—131no—
749#3275—131no—
750#3271—131no—
751#3270—131no—
752#3268—131no—
753#3266—131no—
754#3219—131no—
755#3212—131no—
756#3204—131no—
757#3203—131no—
758#3201—131no—
759#3198—131no—
760#3117—131no—
761#3108—131no—
762#3013—131no—
763#3013—131no—
764#3011—131no—
765#3010—131no—
766#2981—131no—
767C23×C13—21no—
768C23×C13—21no—
769C23×C13—81no—
770C23×C13—81no—
771C23×C13—81no—
772C23×C13C22×D411yescharacteristic
773C23×C13C22×D411yescharacteristic
774C23×C13C22×D411yescharacteristic
775C23×C13C22×D411yescharacteristic
776C23×C13C22×D411yescharacteristic
777C22×D13—21no—
778C22×D13—21no—
779Q8×C13—21no—
780Q8×C13—21no—
781Q8×C13—21no—
782Q8×C13—21no—
783Q8×C13—41no—
784Q8×C13—41no—
785Q8×C13—81no—
786D4×C13—21no—
787D4×C13—21no—
788D4×C13—21no—
789D4×C13—21no—
790D4×C13—41no—
791D4×C13—41no—
792D4×C13—41no—
793D4×C13—41no—
794D4×C13—41no—
795D4×C13—41no—
796D4×C13—41no—
797D4×C13—41no—
798D4×C13—41no—
799D4×C13—41no—
800D4×C13—81no—
801D4×C13—81no—
802D4×C13—81no—
803D4×C13—81no—
804D4×C13—81no—
805D4×C13—81no—
806D4×C13—81no—
807D4×C13—81no—
808D4×C13—81no—
809C2×C4×C13—21no—
810C2×C4×C13—21no—
811C2×C4×C13—21no—
812C2×C4×C13—21no—
813C2×C4×C13—21no—
814C2×C4×C13—21no—
815C2×C4×C13—21no—
816C2×C4×C13—21no—
817C2×C4×C13—21no—
818C2×C4×C13—21no—
819C2×C4×C13—21no—
820C2×C4×C13—21no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
824C2×C4×C13—21no—
825C2×C4×C13—41no—
826C2×C4×C13—41no—
827C2×C4×C13—81no—
828C2×C4×C13—81no—
829C2×C4×C13—81no—
830C2×C4×C13—81no—
831C2×C4×C13—81no—
832C2×C4×C13—81no—
833C2×C4×C13—81no—
834C2×C4×C13C22×D411yescharacteristic
835C2×C4×C13C22×D411yescharacteristic
836C2×C4×C13C22×D411yescharacteristic
837C2×C4×C13C22×D411yescharacteristic
838C2×C4×C13C22×D411yescharacteristic
839C2×C4×C13C22×D411yescharacteristic
840C2×C4×C13C22×D411yescharacteristic
841C2×C4×C13C22×D411yescharacteristic
842C2×C4×C13C22×D411yescharacteristic
843C2×C4×C13C2511yescharacteristic
844C22⋊D13—42no—
845C22⋊D13—42no—
846C22⋊D13—42no—
847C22⋊D13—42no—
848C22⋊D13—42no—
849C22⋊D13—42no—
850C22⋊D13—81no—
851C22⋊D13—81no—
852C22⋊D13—81no—
853C22⋊D13—81no—
854C2×Dic13—24no—
855C2×Dic13—21no—
856C2×Dic13—21no—
857C2×Dic13—21no—
858C2×Dic13—21no—
859C2×Dic13—21no—
860C2×Dic13—21no—
861C2×Dic13—42no—
862C2×Dic13—42no—
863C2×Dic13—42no—
864C2×Dic13—42no—
865C2×Dic13—81no—
866D52—21no—
867D52—21no—
868D52—21no—
869D52—21no—
870D52—42no—
871D52—81no—
872C4×D13—42no—
873C4×D13—42no—
874C4×D13—42no—
875C4×D13—42no—
876C4×D13—42no—
877C4×D13—42no—
878Dic26—24no—
879Dic26—21no—
880Dic26—21no—
881Dic26—21no—
882Dic26—21no—
883Dic26—21no—
884Dic26—21no—
885Dic26—42no—
886Dic26—42no—
887Dic26—42no—
888Dic26—42no—
889Dic26H(5,𝔽2)12yes—
890Dic26H(5,𝔽2)12yes—
891#1055—21no—
892#1055—21no—
893#1055—21no—
894#1055—21no—
895#1055—21no—
896#1055—21no—
897#1055—21no—
898#1055—21no—
899C2×2−1+4—131no—
900C2×2−1+4—131no—
901C2×#137—131no—
902C2×#137—131no—
903C2×#137—131no—
904C2×AGL(1,ℤ/8)—131no—
905C2×#135—131no—
906C2×#135—131no—
907C22×Q16—131no—
908C22×SD16—131no—
909#563—21no—
910#560—21no—
911#555—21no—
912#553C2×D1311yescharacteristic
913#553C2×D1311yescharacteristic
914#552C2×D1311yescharacteristic
915#552C2×D1311yescharacteristic
916#551—21no—
917#550—131no—
918#550—131no—
919#550—261no—
920D4×Q8—131no—
921D4×Q8—131no—
922D4×Q8—261no—
923#548—131no—
924#548—131no—
925#548—131no—
926#548—131no—
927#548—261no—
928#548—261no—
929#548C2×D1311yescharacteristic
930#548C2×D1311yescharacteristic
931#546C2×D1311yescharacteristic
932#546C2×D1311yescharacteristic
933#540—21no—
934#540—21no—
935#538—21no—
936#538—21no—
937#537—131no—
938#537—131no—
939#537—261no—
940#537—261no—
941#537C2×D1311yescharacteristic
942#537C2×D1311yescharacteristic
943#536C2×D1311yescharacteristic
944#535C2×D1311yescharacteristic
945#532—131no—
946#532—261no—
947#532—261no—
948#532C2×D1311yescharacteristic
949#529C2×D1311yescharacteristic
950#529C2×D1311yescharacteristic
951C2×C4×Q8—131no—
952#497—131no—
953#496—131no—
954#495—131no—
955#495—131no—
956#491—131no—
957#490—131no—
958#488—131no—
959#488—131no—
960#485—131no—
961#485—131no—
962#484—131no—
963#484—131no—
964#483—131no—
965#483—131no—
966#482—131no—
967#482—131no—
968#481—131no—
969#481—131no—
970#480—131no—
971#480—131no—
972#479—131no—
973#479—131no—
974#479—131no—
975#479—131no—
976#470—131no—
977#470—131no—
978#469—131no—
979#469—131no—
980#468—131no—
981#468—131no—
982#468—131no—
983#468—131no—
984#467—131no—
985#467—131no—
986#466—131no—
987#466—131no—
988#465—131no—
989#465—131no—
990#465—131no—
991#465—131no—
992#464—131no—
993#464—131no—
994#464—131no—
995#464—131no—
996#464—131no—
997#464—131no—
998#463—131no—
999#463—131no—
1000#462—131no—
1001#461—131no—
1002#460—131no—
1003#459—131no—
1004#452—131no—
1005#452—131no—
1006#452—131no—
1007#452—131no—
1008#452—131no—
1009#452—131no—
1010#452—131no—
1011#452—131no—
1012#452—131no—
1013#452—131no—
1014#451—131no—
1015#451—131no—
1016#451—131no—
1017#451—131no—
1018#451—131no—
1019#451—131no—
1020#451—131no—
1021#450—131no—
1022#449—131no—
1023#449—131no—
1024#449—131no—
1025#449—131no—
1026#449—131no—
1027#449—131no—
1028#449—131no—
1029#449—131no—
1030#449—131no—
1031#449—131no—
1032#448—131no—
1033#448—131no—
1034#448—131no—
1035#448—131no—
1036#448—131no—
1037#448—131no—
1038#448—131no—
1039#447—131no—
1040#441—131no—
1041#441—131no—
1042#440—131no—
1043#440—131no—
1044C4×Q16—131no—
1045C4×Q16—131no—
1046C4×SD16—131no—
1047C4×SD16—131no—
1048#436—131no—
1049#436—131no—
1050#435—131no—
1051#435—131no—
1052#435—131no—
1053#435—131no—
1054C8×D4—131no—
1055C8×D4—131no—
1056#432—131no—
1057#431—131no—
1058#419—131no—
1059#419—131no—
1060#417—131no—
1061#417—131no—
1062#416—131no—
1063#416—131no—
1064C2×#103—131no—
1065C2×#103—131no—
1066#408—131no—
1067#408—131no—
1068#408—131no—
1069#408—131no—
1070C22×C13—21no—
1071C22×C13—21no—
1072C22×C13—21no—
1073C22×C13—21no—
1074C22×C13—21no—
1075C22×C13—21no—
1076C22×C13—21no—
1077C22×C13—21no—
1078C22×C13—21no—
1079C22×C13—21no—
1080C22×C13—21no—
1081C22×C13—21no—
1082C22×C13—21no—
1083C22×C13—21no—
1084C22×C13—21no—
1085C22×C13—41no—
1086C22×C13—41no—
1087C22×C13—41no—
1088C22×C13—41no—
1089C22×C13—41no—
1090C22×C13—41no—
1091C22×C13—162no—
1092C22×C13C23×D411yescharacteristic
1093C2×D13—41no—
1094C2×D13—41no—
1095C2×D13—41no—
1096C2×D13—41no—
1097C2×D13—41no—
1098C2×D13—41no—
1099C4×C13—21no—
1100C4×C13—21no—
1101C4×C13—21no—
1102C4×C13—21no—
1103C4×C13—21no—
1104C4×C13—21no—
1105C4×C13—21no—
1106C4×C13—21no—
1107C4×C13—21no—
1108C4×C13—41no—
1109C4×C13—41no—
1110C4×C13—41no—
1111C4×C13—41no—
1112C4×C13—41no—
1113C4×C13—41no—
1114C4×C13C2×H(5,𝔽2)11yescharacteristic
1115C4×C13C2×H(5,𝔽2)11yescharacteristic
1116Dic13—22no—
1117Dic13—22no—
1118Dic13—41no—
1119Dic13—41no—
1120Dic13—41no—
1121Dic13—41no—
11222−1+4—522no—
11232−1+4—522no—
11242−1+4—522no—
11252−1+4—522no—
1126C2×#41—131no—
1127C2×#41—131no—
1128C2×#41—131no—
1129C2×#41—131no—
1130C2×#41—131no—
1131C2×#41—131no—
1132C2×#41—261no—
1133C2×#41—261no—
1134C2×#41—261no—
1135C2×#41—261no—
1136C2×#41—261no—
1137C2×#41—261no—
1138C2×#41C22×D1311yescharacteristic
1139C2×#41C22×D1311yescharacteristic
1140C2×#41C22×D1311yescharacteristic
1141C2×#41C22×D1311yescharacteristic
1142C22×Q8—131no—
1143C22×Q8—131no—
1144C22×Q8—131no—
1145C22×Q8—131no—
1146C22×Q8—131no—
1147C22×Q8—261no—
1148C22×Q8—261no—
1149C22×Q8C22×D1311yescharacteristic
1150C22×D4C22×D1311yescharacteristic
1151#137—522no—
1152#137—522no—
1153#137—522no—
1154AGL(1,ℤ/8)—522no—
1155#135—522no—
1156#135—522no—
1157C2×Q16—131no—
1158C2×Q16—131no—
1159C2×Q16—131no—
1160C2×Q16—131no—
1161C2×Q16—131no—
1162C2×Q16—131no—
1163C2×Q16—131no—
1164C2×Q16—131no—
1165C2×Q16—522no—
1166C2×SD16—131no—
1167C2×SD16—131no—
1168C2×SD16—131no—
1169C2×SD16—131no—
1170C2×SD16—131no—
1171C2×SD16—131no—
1172C2×SD16—131no—
1173C2×SD16—131no—
1174C2×SD16—131no—
1175C2×SD16—131no—
1176C2×SD16—131no—
1177C2×SD16—131no—
1178C2×SD16—522no—
1179C2×D8—131no—
1180C2×D8—131no—
1181C2×D8—131no—
1182C2×D8—131no—
1183C2×M16—131no—
1184C2×M16—131no—
1185C2×M16—131no—
1186C2×M16—131no—
1187C22×C8—131no—
1188C22×C8—131no—
1189C22×C8—131no—
1190C22×C8—131no—
1191C4⋊Q8—21no—
1192C4⋊Q8—131no—
1193C4⋊Q8—261no—
1194C4⋊Q8—261no—
1195C4⋊Q8C22⋊D1311yescharacteristic
1196#127—21no—
1197#127—131no—
1198#127—261no—
1199#127—261no—
1200#127C22⋊D1311yescharacteristic
1201#126—21no—
1202#126—21no—
1203#126—21no—
1204#126—21no—
1205#126—21no—
1206#126—21no—
1207#125—21no—
1208#125—21no—
1209#125C22×D1311yescharacteristic
1210#125C22×D1311yescharacteristic
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—131no—
1216#124—131no—
1217#124—261no—
1218#124—261no—
1219#124—261no—
1220#124—261no—
1221#124C22⋊D1311yescharacteristic
1222#124C22⋊D1311yescharacteristic
1223#124C22×D1311yescharacteristic
1224#124C22×D1311yescharacteristic
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235C22⋊Q8—21no—
1236C22⋊Q8—21no—
1237C22⋊Q8—21no—
1238C22⋊Q8—21no—
1239C22⋊Q8—131no—
1240C22⋊Q8—131no—
1241C22⋊Q8—131no—
1242C22⋊Q8—131no—
1243C22⋊Q8—261no—
1244C22⋊Q8—261no—
1245C22⋊Q8—261no—
1246C22⋊Q8—261no—
1247C22⋊Q8—261no—
1248C22⋊Q8—261no—
1249C22⋊Q8—261no—
1250C22⋊Q8—261no—
1251C22⋊Q8—261no—
1252C22⋊Q8—261no—
1253C22⋊Q8C22×D1311yescharacteristic
1254C22⋊Q8C22×D1311yescharacteristic
1255C22⋊Q8C22×D1311yescharacteristic
1256C22⋊Q8C22×D1311yescharacteristic
1257C22⋊Q8C22×D1311yescharacteristic
1258C22⋊Q8C22×D1311yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—21no—
1262#121—21no—
1263#121—21no—
1264#121—21no—
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—21no—
1269#121—21no—
1270#121—21no—
1271#121—131no—
1272#121—131no—
1273#121—131no—
1274#121—131no—
1275#121—261no—
1276#121—261no—
1277#121—261no—
1278#121—261no—
1279#121—261no—
1280#121—261no—
1281#121—261no—
1282#121—261no—
1283#121—261no—
1284#121—261no—
1285#121—261no—
1286#121—261no—
1287#121—261no—
1288#121—261no—
1289#121—261no—
1290#121—261no—
1291#121C22⋊D1311yescharacteristic
1292#121C22⋊D1311yescharacteristic
1293#121C22⋊D1311yescharacteristic
1294#121C22⋊D1311yescharacteristic
1295#121C22×D1311yescharacteristic
1296#121C22×D1311yescharacteristic
1297#121C22×D1311yescharacteristic
1298#121C22×D1311yescharacteristic
1299#121C22×D1311yescharacteristic
1300#121C22×D1311yescharacteristic
1301#120—21no—
1302#120—21no—
1303#120—21no—
1304#120—21no—
1305C4×Q8—131no—
1306C4×Q8—131no—
1307C4×Q8—131no—
1308C4×Q8—131no—
1309C4×Q8—261no—
1310C4×Q8—261no—
1311C4×Q8C22×D1311yescharacteristic
1312C4×Q8C22×D1311yescharacteristic
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—261no—
1320C4×D4—261no—
1321C4×D4—261no—
1322C4×D4—261no—
1323C4×D4—261no—
1324C4×D4—261no—
1325C4×D4—261no—
1326C4×D4—261no—
1327C4×D4—261no—
1328C4×D4—261no—
1329C4×D4C22×D1311yescharacteristic
1330C4×D4C22×D1311yescharacteristic
1331C4×D4C22×D1311yescharacteristic
1332C4×D4C22×D1311yescharacteristic
1333C4×D4C22×D1311yescharacteristic
1334C4×D4C22×D1311yescharacteristic
1335#117—21no—
1336#117—21no—
1337#117—21no—
1338#117—21no—
1339#117C22×D1311yescharacteristic
1340#117C22×D1311yescharacteristic
1341C2×C4⋊C4—131no—
1342C2×C4⋊C4—261no—
1343C2×C4⋊C4C22×D1311yescharacteristic
1344C2×C4⋊C4C22×D1311yescharacteristic
1345C2×C22⋊C4—21no—
1346C2×C22⋊C4—21no—
1347C2×C42—261no—
1348C2×C42C22×D1311yescharacteristic
1349#107—131no—
1350#107—131no—
1351#107—131no—
1352#107—131no—
1353#106—131no—
1354#106—131no—
1355#106—131no—
1356#106—131no—
1357C4⋊C8—131no—
1358C4⋊C8—131no—
1359C4⋊C8—131no—
1360C4⋊C8—131no—
1361#103—131no—
1362#103—131no—
1363#103—131no—
1364#103—131no—
1365#103—131no—
1366#103—131no—
1367#103—131no—
1368#103—131no—
1369#103—131no—
1370#103—131no—
1371#103—131no—
1372#103—131no—
1373#103—131no—
1374#103—131no—
1375#103—131no—
1376#103—131no—
1377#103—131no—
1378#103—131no—
1379#103—131no—
1380#103—131no—
1381#102—131no—
1382#102—131no—
1383#102—131no—
1384#102—131no—
1385#102—131no—
1386#102—131no—
1387#102—131no—
1388#102—131no—
1389#102—131no—
1390#102—131no—
1391#102—131no—
1392#102—131no—
1393C22⋊C8—131no—
1394C22⋊C8—131no—
1395C22⋊C8—131no—
1396C22⋊C8—131no—
1397C22⋊C8—131no—
1398C22⋊C8—131no—
1399C22⋊C8—131no—
1400C22⋊C8—131no—
1401C22⋊C8—131no—
1402C22⋊C8—131no—
1403C22⋊C8—131no—
1404C22⋊C8—131no—
1405#97—131no—
1406#97—131no—
1407C4×C8—131no—
1408C4×C8—131no—
1409C2×C13—41no—
1410C2×C13—41no—
1411C2×C13—41no—
1412C2×C13—41no—
1413C2×C13—41no—
1414C2×C13—81no—
1415C2×C13—81no—
1416C2×C13#348411yescharacteristic
1417C2×C13#358411yescharacteristic
1418C2×C13#358611yescharacteristic
1419D13—81no—
1420D13—81no—
1421C24—21no—
1422#41—41no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—262no—
1431#41—262no—
1432#41—262no—
1433#41—262no—
1434#41—521no—
1435#41—521no—
1436#41—521no—
1437#41—521no—
1438#41—521no—
1439#41—521no—
1440#41—521no—
1441#41—521no—
1442#41—524no—
1443#41—524no—
1444#41—524no—
1445#41—524no—
1446#41—524no—
1447#41—524no—
1448C2×Q8—21no—
1449C2×Q8—41no—
1450C2×Q8—41no—
1451C2×Q8—131no—
1452C2×Q8—131no—
1453C2×Q8—131no—
1454C2×Q8—131no—
1455C2×Q8—262no—
1456C2×Q8—262no—
1457C2×Q8—262no—
1458C2×Q8—262no—
1459C2×Q8—262no—
1460C2×Q8—262no—
1461C2×Q8—261no—
1462C2×Q8—261no—
1463C2×Q8—261no—
1464C2×Q8—261no—
1465C2×Q8—261no—
1466C2×Q8—521no—
1467C2×Q8—521no—
1468C2×Q8—521no—
1469C2×Q8—521no—
1470C2×Q8—524no—
1471C2×Q8—524no—
1472C2×Q8C2×C22⋊D1311yescharacteristic
1473C2×Q8C2×C22⋊D1311yescharacteristic
1474C2×Q8C23×D1311yescharacteristic
1475C2×Q8C23×D1311yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—41no—
1486C2×D4—41no—
1487C2×D4—131no—
1488C2×D4—131no—
1489C2×D4—261no—
1490C2×D4—261no—
1491C2×D4—261no—
1492C2×D4—261no—
1493C2×D4—261no—
1494C2×D4—261no—
1495C2×D4—261no—
1496C2×D4—261no—
1497C2×D4—261no—
1498C2×D4—261no—
1499C2×D4—261no—
1500C2×D4—261no—
1501C2×D4C2×C22⋊D1311yescharacteristic
1502C2×D4C2×C22⋊D1311yescharacteristic
1503C2×D4C2×C22⋊D1311yescharacteristic
1504C2×D4C2×C22⋊D1311yescharacteristic
1505C2×D4C2×C22⋊D1311yescharacteristic
1506C2×D4C2×C22⋊D1311yescharacteristic
1507C2×D4C2×C22⋊D1311yescharacteristic
1508C2×D4C2×C22⋊D1311yescharacteristic
1509C2×D4C2×C22⋊D1311yescharacteristic
1510C2×D4C2×C22⋊D1311yescharacteristic
1511C2×D4C23×D1311yescharacteristic
1512C2×D4C23×D1311yescharacteristic
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
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×C4C2×C22⋊D1311yescharacteristic
1533C22×C4C2×C22⋊D1311yescharacteristic
1534C22×C4C23×D1311yescharacteristic
1535C22×C4C23×D1311yescharacteristic
1536C22×C4C23×D1311yescharacteristic
1537C22×C4C23×D1311yescharacteristic
1538C22×C4C23×D1311yescharacteristic
1539Q16—262no—
1540Q16—262no—
1541Q16—262no—
1542Q16—262no—
1543Q16—521no—
1544Q16—521no—
1545Q16—521no—
1546Q16—521no—
1547SD16—262no—
1548SD16—262no—
1549SD16—262no—
1550SD16—262no—
1551SD16—521no—
1552SD16—521no—
1553SD16—521no—
1554SD16—521no—
1555SD16—521no—
1556SD16—521no—
1557SD16—521no—
1558SD16—521no—
1559D8—521no—
1560D8—521no—
1561D8—521no—
1562D8—521no—
1563M16—521no—
1564M16—521no—
1565M16—521no—
1566M16—521no—
1567C2×C8—131no—
1568C2×C8—131no—
1569C2×C8—131no—
1570C2×C8—131no—
1571C2×C8—131no—
1572C2×C8—131no—
1573C2×C8—131no—
1574C2×C8—131no—
1575C2×C8—521no—
1576C2×C8—521no—
1577C2×C8—521no—
1578C2×C8—521no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—131no—
1594C4⋊C4—131no—
1595C4⋊C4—261no—
1596C4⋊C4—261no—
1597C4⋊C4—261no—
1598C4⋊C4—261no—
1599C4⋊C4—261no—
1600C4⋊C4—261no—
1601C4⋊C4—261no—
1602C4⋊C4—261no—
1603C4⋊C4—261no—
1604C4⋊C4—261no—
1605C4⋊C4—261no—
1606C4⋊C4C2×C22⋊D1311yescharacteristic
1607C4⋊C4C2×C22⋊D1311yescharacteristic
1608C4⋊C4C2×C22⋊D1311yescharacteristic
1609C4⋊C4C2×C22⋊D1311yescharacteristic
1610C4⋊C4C23×D1311yescharacteristic
1611C4⋊C4C23×D1311yescharacteristic
1612C4⋊C4C23×D1311yescharacteristic
1613C4⋊C4C23×D1311yescharacteristic
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—261no—
1635C22⋊C4—261no—
1636C22⋊C4—261no—
1637C22⋊C4—261no—
1638C22⋊C4—261no—
1639C22⋊C4—261no—
1640C22⋊C4—261no—
1641C22⋊C4—261no—
1642C22⋊C4—261no—
1643C22⋊C4—261no—
1644C22⋊C4—261no—
1645C22⋊C4—261no—
1646C22⋊C4C2×C22⋊D1311yescharacteristic
1647C22⋊C4C2×C22⋊D1311yescharacteristic
1648C22⋊C4C2×C22⋊D1311yescharacteristic
1649C22⋊C4C2×C22⋊D1311yescharacteristic
1650C22⋊C4C2×C22⋊D1311yescharacteristic
1651C22⋊C4C2×C22⋊D1311yescharacteristic
1652C22⋊C4C2×C22⋊D1311yescharacteristic
1653C22⋊C4C2×C22⋊D1311yescharacteristic
1654C42—21no—
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—261no—
1659C42—261no—
1660C42—261no—
1661C42—261no—
1662C42C2×C22⋊D1311yescharacteristic
1663C42C2×C22⋊D1311yescharacteristic
1664C42C23×D1311yescharacteristic
1665C42C23×D1311yescharacteristic
1666C13#6168111yescharacteristic, complemented, Sylow
1667C23—21no—
1668C23—21no—
1669C23—81no—
1670C23—81no—
1671C23—81no—
1672C23—261no—
1673C23—261no—
1674C23C22×C22⋊D1311yescharacteristic
1675C23C22×C22⋊D1311yescharacteristic
1676C23C22×C22⋊D1311yescharacteristic
1677C23C22×C22⋊D1311yescharacteristic
1678C23C22×C22⋊D1311yescharacteristic
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—41no—
1684Q8—41no—
1685Q8—81no—
1686Q8—132no—
1687Q8—132no—
1688Q8—264no—
1689Q8—261no—
1690Q8—261no—
1691Q8—261no—
1692Q8—261no—
1693Q8—261no—
1694Q8—261no—
1695Q8—522no—
1696Q8—522no—
1697Q8—522no—
1698Q8—522no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—41no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—261no—
1723D4—261no—
1724D4—261no—
1725D4—261no—
1726D4—522no—
1727D4—522no—
1728D4—522no—
1729D4—522no—
1730D4—522no—
1731D4—522no—
1732D4—522no—
1733D4—1041no—
1734D4—1041no—
1735D4—1041no—
1736D4—1041no—
1737D4—1041no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—81no—
1757C2×C4—81no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—264no—
1764C2×C4—261no—
1765C2×C4—261no—
1766C2×C4—261no—
1767C2×C4—261no—
1768C2×C4—261no—
1769C2×C4—261no—
1770C2×C4—522no—
1771C2×C4—522no—
1772C2×C4—522no—
1773C2×C4—522no—
1774C2×C4—522no—
1775C2×C4—522no—
1776C2×C4—522no—
1777C2×C4—522no—
1778C2×C4—522no—
1779C2×C4—522no—
1780C2×C4—1041no—
1781C2×C4C22×C22⋊D1311yescharacteristic
1782C2×C4C22×C22⋊D1311yescharacteristic
1783C2×C4C22×C22⋊D1311yescharacteristic
1784C2×C4C22×C22⋊D1311yescharacteristic
1785C2×C4C22×C22⋊D1311yescharacteristic
1786C2×C4C22×C22⋊D1311yescharacteristic
1787C2×C4C22×C22⋊D1311yescharacteristic
1788C2×C4C22×C22⋊D1311yescharacteristic
1789C2×C4C22×C22⋊D1311yescharacteristic
1790C2×C4C24×D1311yescharacteristic
1791C8—261no—
1792C8—261no—
1793C8—261no—
1794C8—261no—
1795C8—261no—
1796C8—261no—
1797C8—261no—
1798C8—261no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—162no—
1821C22—521no—
1822C22—521no—
1823C22—521no—
1824C22—521no—
1825C22—521no—
1826C22—521no—
1827C22C23×C22⋊D1311yescharacteristic
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—262no—
1844C4—262no—
1845C4—521no—
1846C4—521no—
1847C4—521no—
1848C4—521no—
1849C4D13×H(5,𝔽2)11yescharacteristic
1850C4D13×H(5,𝔽2)11yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—1041no—
1859C2—1041no—
1860C2#1312846711yescharacteristic
1861C2#1312960711yescharacteristic
1862C2#1312962211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3551C2
socleC22×C13C23×D4
hypercenter#3551D13
hypocenterC13#61681
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #532 ◁ #3551

Complements

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

NH ≅ G/Ntype
1. #13128602C2semidirect
2. #13127098C2semidirect
3. #13127083C2semidirect
4. #13127001C2semidirect
5. #13126956C2semidirect
6. #13126881C2semidirect
7. #13126836C2semidirect
8. #13126732C2semidirect
9. #13126717C2semidirect
10. #13126573C2semidirect
11. #13126539C2semidirect
12. #13126489C2semidirect
13. #13126463C2semidirect
14. #13126422C2semidirect
15. #13126402C2semidirect
16. #13126372C2semidirect
17. #13126342C2semidirect
18. #13125869C2semidirect
19. #13125808C2semidirect
20. #13125742C2semidirect
21. #13125733C2semidirect
22. #13125718C2semidirect
23. #13125688C2semidirect
24. #13125003C2semidirect
25. #13124912C2semidirect
26. #13124148C2semidirect
27. #13124148C2semidirect
28. #13124129C2semidirect
29. #13124120C2semidirect
30. #13123912C2semidirect
31. C13×#3551C2semidirect
33. C2×#88257C22semidirect
58. #11719538C22semidirect
63. C22×#6107C22semidirect
64. C2×#88196C22semidirect
76. #11719258C22semidirect
79. #11719257C22semidirect
80. #11719257C22semidirect
82. D4×Dic26C22semidirect
83. #11719182C22semidirect
84. C2×C4×Dic26C22semidirect
91. #11718895C22semidirect
92. #11718895C22semidirect
93. #11718889C22semidirect
94. #11718888C22semidirect
97. #11718730C22semidirect
98. #11718729C22semidirect
99. #11718729C22semidirect
100. #11718728C22semidirect
101. #11718724C22semidirect
102. #11718724C22semidirect
103. #11718724C22semidirect
104. #11718724C22semidirect
114. #11718713C22semidirect
116. #11718712C22semidirect
119. #11718711C22semidirect
120. #11718711C22semidirect
121. #11718711C22semidirect
122. #11718711C22semidirect
124. #11718710C22semidirect
126. #11718709C22semidirect
129. #11718708C22semidirect
130. #11718708C22semidirect
131. #11718708C22semidirect
132. #11718708C22semidirect
133. #11718708C22semidirect
134. #11718708C22semidirect
135. #11718705C22semidirect
136. #11718704C22semidirect
161. #11718692C22semidirect
162. #11718691C22semidirect
163. #11718691C22semidirect
164. C4×#6107C22semidirect
165. C4×#6107C22semidirect
166. #11718689C22semidirect
167. #11718689C22semidirect
168. #11718688C22semidirect
178. #11718673C22semidirect
181. #11718672C22semidirect
182. #11718672C22semidirect
184. D4×#1055C22semidirect
186. #11718665C22semidirect
188. #11718664C22semidirect
190. #11718663C22semidirect
192. #11718657C22semidirect
193. #11718632C22semidirect
194. #11718631C22semidirect
195. C2×#88050C22semidirect
196. C2×#88050C22semidirect
197. #11718629C22semidirect
198. #11718628C22semidirect
199. #11718627C22semidirect
200. #11718627C22semidirect
201. #11718587C22semidirect
202. #11718586C22semidirect
736. #3551D13semidirect
1666. C13#61681semidirect

Maximal subgroups

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

subgroupindex
#131286022
#131270982
#131270832
#131270012
#131269562
#131268812
#131268362
#131267322
#131267172
#131265732
#131265392
#131264892
#131264632
#131264222
#131264022
#131263722
#131263422
#131258692
#131258082
#131257422
#131257332
#131257182
#131256882
#131250032
#131249122
#131241482
#131241292
#131241202
#131239122
C13×#35512
#6168113