Finite Group Databasebeta

← #16752744

Subgroups — #16752744

Order 3328.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129208C211yesmaximal, characteristic, complemented
2#13127436C211yesmaximal, characteristic, complemented
3#13127396C211yesmaximal, characteristic, complemented
4#13127375C211yesmaximal, characteristic, complemented
5#13127366C211yesmaximal, characteristic, complemented
6#13127300C211yesmaximal, characteristic, complemented
7#13127276C211yesmaximal, characteristic, complemented
8#13127232C211yesmaximal, characteristic, complemented
9#13127215C211yesmaximal, characteristic, complemented
10#13127046C211yesmaximal, characteristic, complemented
11#13127031C211yesmaximal, characteristic, complemented
12#13126971C211yesmaximal, characteristic, complemented
13#13126956C211yesmaximal, characteristic, complemented
14#13126851C211yesmaximal, characteristic, complemented
15#13126836C211yesmaximal, characteristic, complemented
16#13126680C211yesmaximal, characteristic, complemented
17#13126665C211yesmaximal, characteristic, complemented
18#13126026C211yesmaximal, characteristic, complemented
19#13126004C211yesmaximal, characteristic, complemented
20#13125742C211yesmaximal, characteristic, complemented
21#13125733C211yesmaximal, characteristic, complemented
22#13125682C211yesmaximal, characteristic, complemented
23#13125682C211yesmaximal, characteristic, complemented
24#13124945C211yesmaximal, characteristic, complemented
25#13124896C211yesmaximal, characteristic, complemented
26#13124825C211yesmaximal, characteristic, complemented
27#13124814C211yesmaximal, characteristic, complemented
28#13124794C211yesmaximal, characteristic, complemented
29#13124794C211yesmaximal, characteristic, complemented
30#13123912C211yesmaximal, characteristic, complemented
31C13×#3512C211yesmaximal, characteristic, complemented
32C13×#553—21no—
33C13×#553—21no—
34C13×#553—21no—
35C13×#553—21no—
36C13×#553C2211yescharacteristic
37C13×#553C2211yescharacteristic, complemented
38C13×#553C2211yescharacteristic, complemented
39C13×#553C2211yescharacteristic, complemented
40C13×#552C2211yescharacteristic
41C13×#552C2211yescharacteristic, complemented
42C13×#552C2211yescharacteristic, complemented
43C13×#552C2211yescharacteristic, complemented
44C13×#541—21no—
45C13×#540—21no—
46C13×#537C2211yescharacteristic, complemented
47C13×#537C2211yescharacteristic, complemented
48C13×#532C2211yescharacteristic
49C13×#529—21no—
50C13×#529—21no—
51C2×C13×#125C2211yescharacteristic, complemented
52C13×#520C2211yescharacteristic, complemented
53C13×#520C2211yescharacteristic, complemented
54C4×C13×#41C2211yescharacteristic, complemented
55#11719538C2211yescharacteristic
56#11719538C2211yescharacteristic
57#11719535C2211yescharacteristic
58#11719535C2211yescharacteristic
59#11719438—21no—
60#11719420—21no—
61#11719383—21no—
62#11719383—21no—
63#11719325—21no—
64#11719325—21no—
65#11719317—21no—
66#11719304—21no—
67#11719270C2211yescharacteristic
68#11719270C2211yescharacteristic
69#11719260C2211yescharacteristic
70#11719258C2211yescharacteristic
71#11719255C2211yescharacteristic
72#11719255C2211yescharacteristic
73D4×D52C2211yescharacteristic
74#11719247C2211yescharacteristic
75#11719184C2211yescharacteristic
76#11719182C2211yescharacteristic
77#11718900C2211yescharacteristic, complemented
78#11718899C2211yescharacteristic
79#11718899C2211yescharacteristic, complemented
80#11718899C2211yescharacteristic, complemented
81#11718895C2211yescharacteristic, complemented
82#11718895C2211yescharacteristic, complemented
83#11718895C2211yescharacteristic, complemented
84#11718895C2211yescharacteristic, complemented
85#11718729C2211yescharacteristic
86#11718729C2211yescharacteristic
87#11718728C2211yescharacteristic
88#11718728C2211yescharacteristic
89#11718727C2211yescharacteristic
90#11718727C2211yescharacteristic
91#11718727C2211yescharacteristic, complemented
92#11718727C2211yescharacteristic, complemented
93#11718727C2211yescharacteristic, complemented
94#11718727C2211yescharacteristic, complemented
95#11718726C2211yescharacteristic, complemented
96#11718726C2211yescharacteristic, complemented
97#11718725C2211yescharacteristic, complemented
98#11718725C2211yescharacteristic, complemented
99#11718724C2211yescharacteristic, complemented
100#11718724C2211yescharacteristic, complemented
101#11718713C2211yescharacteristic, complemented
102#11718712C2211yescharacteristic, complemented
103#11718710C2211yescharacteristic
104#11718710C2211yescharacteristic
105#11718710C2211yescharacteristic, complemented
106#11718709C2211yescharacteristic
107#11718709C2211yescharacteristic
108#11718709C2211yescharacteristic, complemented
109#11718708C2211yescharacteristic, complemented
110#11718708C2211yescharacteristic, complemented
111#11718707C2211yescharacteristic
112#11718707C2211yescharacteristic
113#11718706C2211yescharacteristic, complemented
114#11718706C2211yescharacteristic, complemented
115#11718705C2211yescharacteristic, complemented
116#11718704C2211yescharacteristic, complemented
117#11718703C2211yescharacteristic, complemented
118#11718702C2211yescharacteristic, complemented
119#11718700C2211yescharacteristic
120#11718700C2211yescharacteristic
121#11718700C2211yescharacteristic, complemented
122#11718699C2211yescharacteristic
123#11718699C2211yescharacteristic
124#11718699C2211yescharacteristic, complemented
125#11718698C2211yescharacteristic, complemented
126#11718698C2211yescharacteristic, complemented
127#11718697C2211yescharacteristic
128#11718697C2211yescharacteristic
129#11718696C2211yescharacteristic, complemented
130#11718696C2211yescharacteristic, complemented
131#11718695C2211yescharacteristic, complemented
132#11718694C2211yescharacteristic, complemented
133#11718691C2211yescharacteristic, complemented
134#11718689C2211yescharacteristic
135#11718688C2211yescharacteristic
136#11718687C2211yescharacteristic
137C4×#6106C2211yescharacteristic, complemented
138C4×#6106C2211yescharacteristic, complemented
139#11718683C2211yescharacteristic, complemented
140#11718682C2211yescharacteristic, complemented
141#11718679C2211yescharacteristic, complemented
142#11718677C2211yescharacteristic
143#11718676C2211yescharacteristic
144#11718675C2211yescharacteristic
145C4×#6104C2211yescharacteristic, complemented
146C4×#6104C2211yescharacteristic, complemented
147#11718673C2211yescharacteristic, complemented
148#11718673C2211yescharacteristic, complemented
149#11718672C2211yescharacteristic
150#11718672C2211yescharacteristic
151#11718672C2211yescharacteristic, complemented
152#11718672C2211yescharacteristic, complemented
153D4×#1055C2211yescharacteristic, complemented
154D4×#1055C2211yescharacteristic, complemented
155#11718670C2211yescharacteristic, complemented
156#11718669C2211yescharacteristic, complemented
157#11718664C2211yescharacteristic
158#11718664C2211yescharacteristic
159#11718664C2211yescharacteristic
160#11718664C2211yescharacteristic
161#11718664C2211yescharacteristic
162#11718664C2211yescharacteristic, complemented
163#11718664C2211yescharacteristic, complemented
164#11718664C2211yescharacteristic, complemented
165#11718664C2211yescharacteristic, complemented
166#11718663C2211yescharacteristic, complemented
167#11718663C2211yescharacteristic, complemented
168#11718662C2211yescharacteristic
169#11718662C2211yescharacteristic
170#11718659C2211yescharacteristic, complemented
171#11718659C2211yescharacteristic, complemented
172#11718657C2211yescharacteristic, complemented
173#11718657C2211yescharacteristic, complemented
174#11718657C2211yescharacteristic, complemented
175#11718656C2211yescharacteristic, complemented
176#11718656C2211yescharacteristic, complemented
177#11718632C2211yescharacteristic, complemented
178#11718632C2211yescharacteristic, complemented
179#11718631C2211yescharacteristic, complemented
180#11718631C2211yescharacteristic, complemented
181#11718629C2211yescharacteristic
182#11718629C2211yescharacteristic
183#11718629C2211yescharacteristic
184#11718629C2211yescharacteristic, complemented
185#11718629C2211yescharacteristic, complemented
186#11718629C2211yescharacteristic, complemented
187#11718628C2211yescharacteristic
188#11718628C2211yescharacteristic
189#11718628C2211yescharacteristic
190#11718628C2211yescharacteristic, complemented
191#11718628C2211yescharacteristic, complemented
192#11718628C2211yescharacteristic, complemented
193#11718627C2211yescharacteristic, complemented
194#11718627C2211yescharacteristic, complemented
195C2×#88049C2211yescharacteristic
196C2×#88049C2211yescharacteristic
197#11718625C2211yescharacteristic, complemented
198#11718625C2211yescharacteristic, complemented
199C2×#88048C2211yescharacteristic, complemented
200C2×#88047C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718586C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C2×#6129—21no—
207C2×D4×D13—21no—
208C2×#6127—21no—
209C2×#6127C2311yescharacteristic
210C2×#6127C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C13×C4⋊Q8D411yescharacteristic
214C13×#127D411yescharacteristic
215C13×#126—21no—
216C13×#126—21no—
217C13×#126—21no—
218C13×#126—21no—
219C13×#126—21no—
220C13×#126—21no—
221C13×#126—21no—
222C13×#126—21no—
223C13×#125—21no—
224C13×#125—21no—
225C13×#125—21no—
226C13×#125—21no—
227C13×#125—21no—
228C13×#125—21no—
229C13×#125C2311yescharacteristic
230C13×#125C2311yescharacteristic
231C13×#125C2311yescharacteristic
232C13×#125C2311yescharacteristic
233C13×#124D411yescharacteristic
234C13×#124D411yescharacteristic
235C13×#123—21no—
236C13×#123—21no—
237C13×#123—21no—
238C13×#123—21no—
239C13×#123—21no—
240C13×#123—21no—
241C13×#123—21no—
242C13×#123—21no—
243C13×C22⋊Q8—21no—
244C13×C22⋊Q8—21no—
245C13×C22⋊Q8C2311yescharacteristic
246C13×C22⋊Q8C2311yescharacteristic
247C13×C22⋊Q8C2311yescharacteristic
248C13×C22⋊Q8C2311yescharacteristic
249C13×#121—21no—
250C13×#121—21no—
251C13×#121—21no—
252C13×#121—21no—
253C13×#121—21no—
254C13×#121—21no—
255C13×#121—21no—
256C13×#121—21no—
257C13×#121—21no—
258C13×#121—21no—
259C13×#121D411yescharacteristic
260C13×#121D411yescharacteristic
261C13×#121D411yescharacteristic
262C13×#121D411yescharacteristic
263C13×#121C2311yescharacteristic
264C13×#121C2311yescharacteristic
265C13×#121C2311yescharacteristic
266C13×#121C2311yescharacteristic
267C4×Q8×C13—21no—
268C4×Q8×C13—21no—
269C4×Q8×C13C2311yescharacteristic
270C4×Q8×C13C2311yescharacteristic
271C4×D4×C13—21no—
272C4×D4×C13—21no—
273C4×D4×C13—21no—
274C4×D4×C13—21no—
275C4×D4×C13—21no—
276C4×D4×C13—21no—
277C4×D4×C13—21no—
278C4×D4×C13—21no—
279C4×D4×C13—21no—
280C4×D4×C13—21no—
281C4×D4×C13—21no—
282C4×D4×C13—21no—
283C4×D4×C13C2311yescharacteristic
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C4×D4×C13C2311yescharacteristic
287C4×D4×C13C2311yescharacteristic
288C4×D4×C13C2311yescharacteristic
289C13×#117—21no—
290C13×#117—21no—
291C13×#117—21no—
292C13×#117—21no—
293C13×#117—21no—
294C13×#117C2311yescharacteristic
295C13×#117C2311yescharacteristic
296C13×#117C2311yescharacteristic
297C13×#117C2311yescharacteristic
298C13×#117C2311yescharacteristic
299C2×C13×C4⋊C4—21no—
300C2×C13×C4⋊C4—21no—
301C2×C13×C4⋊C4C2311yescharacteristic
302C2×C13×C4⋊C4C2311yescharacteristic
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C4⋊C4C2311yescharacteristic
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2311yescharacteristic
307C2×C42×C13—21no—
308C2×C42×C13C2311yescharacteristic
309#88201—21no—
310#88201—21no—
311#88200—21no—
312#88200—21no—
313C2×#6107C2311yescharacteristic
314C2×#6106C2311yescharacteristic
315C2×#6106C2311yescharacteristic
316C2×#6106C2311yescharacteristic
317#88194—21no—
318#88194—21no—
319#88194—21no—
320#88193—21no—
321#88193—21no—
322#88193—21no—
323#88193—21no—
324#88193—21no—
325#88193—21no—
326#88192—21no—
327#88192—21no—
328#88191—21no—
329#88191—21no—
330#88191—21no—
331#88191—21no—
332#88191—21no—
333#88191—21no—
334#88190—21no—
335C2×#6105C2311yescharacteristic
336C2×#6104C2311yescharacteristic
337C2×#6104C2311yescharacteristic
338C2×#6104C2311yescharacteristic
339#88184—21no—
340#88184C2311yescharacteristic
341#88184C2311yescharacteristic
342#88184C2311yescharacteristic
343#88184C2311yescharacteristic
344#88184C2311yescharacteristic
345#88184C2311yescharacteristic
346#88184C2311yescharacteristic
347#88184C2311yescharacteristic
348#88184C2311yescharacteristic
349#88183—21no—
350C4×C22⋊D13—21no—
351#88180C2311yescharacteristic
352#88180C2311yescharacteristic
353C2×C4⋊Dic13C2311yescharacteristic
354C2×C4⋊Dic13C2311yescharacteristic
355#88178C2311yescharacteristic
356#88178C2311yescharacteristic
357#88178C2311yescharacteristic
358C2×#6099C2311yescharacteristic
359C2×#6099C2311yescharacteristic
360C2×#6099C2311yescharacteristic
361C2×#6099C2311yescharacteristic
362C22×#1055C2311yescharacteristic
363C22×#1055C2311yescharacteristic
364C22×#1055C2311yescharacteristic
365C22×#1055C2311yescharacteristic
366#88152—21no—
367#88152—21no—
368#88151—21no—
369#88149—21no—
370#88148—21no—
371#88148—21no—
372#88147—21no—
373#88141—21no—
374#88140—21no—
375#88140—21no—
376#88138—21no—
377#88138—21no—
378#88138—21no—
379#88138—21no—
380#88137—21no—
381#88137—21no—
382#88136—21no—
383#88136—21no—
384#88135—21no—
385#88135—21no—
386C22⋊C4×D13—21no—
387C22⋊C4×D13—21no—
388#88133—21no—
389#88133—21no—
390#88130—21no—
391#88129—21no—
392#88129C2311yescharacteristic
393#88128C2311yescharacteristic
394C4×D52—21no—
395C4×D52C2311yescharacteristic
396C4×D52C2311yescharacteristic
397C4×D52C2311yescharacteristic
398#88126—21no—
399#88124C2311yescharacteristic
400#88123C2311yescharacteristic
401C4×Dic26C2311yescharacteristic
402#88075C2311yescharacteristic
403#88075C2311yescharacteristic
404#88075C2311yescharacteristic
405#88075C2311yescharacteristic
406#88072C2311yescharacteristic
407#88072C2311yescharacteristic
408#88072C2311yescharacteristic
409#88072C2311yescharacteristic
410C22⋊#1055C2311yescharacteristic
411C22⋊#1055C2311yescharacteristic
412C22⋊#1055C2311yescharacteristic
413C22⋊#1055C2311yescharacteristic
414C22⋊#1055C2311yescharacteristic
415C22⋊#1055C2311yescharacteristic
416C22⋊#1055C2311yescharacteristic
417C22⋊#1055C2311yescharacteristic
418C22⋊#1055C2311yescharacteristic
419C22⋊#1055C2311yescharacteristic
420C22⋊#1055C2311yescharacteristic
421C22⋊#1055C2311yescharacteristic
422#88050C2311yescharacteristic
423#88050C2311yescharacteristic
424#88050C2311yescharacteristic
425#88050C2311yescharacteristic
426#88050C2311yescharacteristic
427#88050C2311yescharacteristic
428#88049C2311yescharacteristic
429#88049C2311yescharacteristic
430#88049C2311yescharacteristic
431#88049C2311yescharacteristic
432#88049C2311yescharacteristic
433#88049C2311yescharacteristic
434#88049C2311yescharacteristic
435#88049C2311yescharacteristic
436#88049C2311yescharacteristic
437#88049C2311yescharacteristic
438#88049C2311yescharacteristic
439#88049C2311yescharacteristic
440#88049C2311yescharacteristic
441#88049C2311yescharacteristic
442#88049C2311yescharacteristic
443#88049C2311yescharacteristic
444#88049C2311yescharacteristic
445#88049C2311yescharacteristic
446#88048C2311yescharacteristic
447#88048C2311yescharacteristic
448#88048C2311yescharacteristic
449#88048C2311yescharacteristic
450#88048C2311yescharacteristic
451#88048C2311yescharacteristic
452#88048C2311yescharacteristic
453#88048C2311yescharacteristic
454#88048C2311yescharacteristic
455#88048C2311yescharacteristic
456#88048C2311yescharacteristic
457#88048C2311yescharacteristic
458#88047C2311yescharacteristic
459#88047C2311yescharacteristic
460#88047C2311yescharacteristic
461#88047C2311yescharacteristic
462#88047C2311yescharacteristic
463#88047C2311yescharacteristic
464#88047C2311yescharacteristic
465#88047C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468#88047C2311yescharacteristic
469#88047C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471C4⋊#1055C2311yescharacteristic
472C4⋊#1055C2311yescharacteristic
473C4⋊#1055C2311yescharacteristic
474#88043C2311yescharacteristic
475#88043C2311yescharacteristic
476C4×#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478#61813—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13—21no—
481C13×#41—41no—
482C13×#41—41no—
483C13×#41—41no—
484C13×#41—41no—
485C13×#41—41no—
486C13×#41—41no—
487C2×Q8×C13C2×D411yescharacteristic
488C2×Q8×C13C2×D411yescharacteristic
489C2×Q8×C13C2411yescharacteristic
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13C2×D411yescharacteristic
496C2×D4×C13C2×D411yescharacteristic
497C2×D4×C13C2×D411yescharacteristic
498C2×D4×C13C2×D411yescharacteristic
499C2×D4×C13C2×D411yescharacteristic
500C2×D4×C13C2×D411yescharacteristic
501C2×D4×C13C2×D411yescharacteristic
502C2×D4×C13C2×D411yescharacteristic
503C2×D4×C13C2×D411yescharacteristic
504C2×D4×C13C2×D411yescharacteristic
505C2×D4×C13C2411yescharacteristic
506C22×C4×C13—21no—
507C22×C4×C13—21no—
508C22×C4×C13—21no—
509C22×C4×C13—21no—
510C22×C4×C13—21no—
511C22×C4×C13—21no—
512C22×C4×C13—21no—
513C22×C4×C13—21no—
514C22×C4×C13—21no—
515C22×C4×C13C2×D411yescharacteristic
516C22×C4×C13C2×D411yescharacteristic
517C22×C4×C13C2411yescharacteristic
518C22×C4×C13C2411yescharacteristic
519C22×C4×C13C2411yescharacteristic
520C22×C4×C13C2411yescharacteristic
521C22×C4×C13C2411yescharacteristic
522C2×C22⋊D13—21no—
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C22×Dic13—21no—
534C22×Dic13—21no—
535#6129—82no—
536D4×D13—82no—
537#6127—41no—
538#6127—41no—
539#6127—41no—
540#6127—41no—
541#6127—82no—
542C2×D52—21no—
543C2×D52—21no—
544C2×D52—21no—
545C2×D52—21no—
546C2×D52—41no—
547C2×D52—41no—
548C2×D52—41no—
549C2×D52—41no—
550C2×D52C2411yescharacteristic
551C2×D52C2411yescharacteristic
552C2×D52C2411yescharacteristic
553C2×C4×D13—21no—
554C2×C4×D13—21no—
555C2×C4×D13—21no—
556C2×C4×D13—21no—
557C2×C4×D13—21no—
558C2×Dic26—21no—
559C2×Dic26C2411yescharacteristic
560C13×C4⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4—21no—
564C13×C4⋊C4—21no—
565C13×C4⋊C4—21no—
566C13×C4⋊C4—21no—
567C13×C4⋊C4—21no—
568C13×C4⋊C4—21no—
569C13×C4⋊C4—21no—
570C13×C4⋊C4—21no—
571C13×C4⋊C4—21no—
572C13×C4⋊C4—21no—
573C13×C4⋊C4—21no—
574C13×C4⋊C4—21no—
575C13×C4⋊C4—21no—
576C13×C4⋊C4—21no—
577C13×C4⋊C4—21no—
578C13×C4⋊C4—21no—
579C13×C4⋊C4—21no—
580C13×C4⋊C4C2×D411yescharacteristic
581C13×C4⋊C4C2×D411yescharacteristic
582C13×C4⋊C4C2×D411yescharacteristic
583C13×C4⋊C4C2×D411yescharacteristic
584C13×C4⋊C4C2411yescharacteristic
585C13×C4⋊C4C2411yescharacteristic
586C13×C4⋊C4C2411yescharacteristic
587C13×C4⋊C4C2411yescharacteristic
588C13×C4⋊C4C2411yescharacteristic
589C13×C4⋊C4C2411yescharacteristic
590C13×C22⋊C4—21no—
591C13×C22⋊C4—21no—
592C13×C22⋊C4—21no—
593C13×C22⋊C4—21no—
594C13×C22⋊C4—21no—
595C13×C22⋊C4—21no—
596C13×C22⋊C4—21no—
597C13×C22⋊C4—21no—
598C13×C22⋊C4—21no—
599C13×C22⋊C4—21no—
600C13×C22⋊C4—21no—
601C13×C22⋊C4—21no—
602C13×C22⋊C4—21no—
603C13×C22⋊C4—21no—
604C13×C22⋊C4—21no—
605C13×C22⋊C4C2×D411yescharacteristic
606C13×C22⋊C4C2×D411yescharacteristic
607C13×C22⋊C4C2×D411yescharacteristic
608C13×C22⋊C4C2×D411yescharacteristic
609C13×C22⋊C4C2×D411yescharacteristic
610C13×C22⋊C4C2×D411yescharacteristic
611C13×C22⋊C4C2×D411yescharacteristic
612C13×C22⋊C4C2×D411yescharacteristic
613C42×C13—21no—
614C42×C13—21no—
615C42×C13—21no—
616C42×C13—21no—
617C42×C13—21no—
618C42×C13—21no—
619C42×C13—21no—
620C42×C13C2×D411yescharacteristic
621C42×C13C2×D411yescharacteristic
622C42×C13C2411yescharacteristic
623C42×C13C2411yescharacteristic
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626C22⋊Dic13—21no—
627C22⋊Dic13—21no—
628C22⋊Dic13—21no—
629#6107—41no—
630#6106—41no—
631#6106—41no—
632#6106—41no—
633#6105—41no—
634#6104—41no—
635#6104—41no—
636#6104—41no—
637#6103—21no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650#6103—21no—
651C4⋊Dic13—21no—
652C4⋊Dic13—21no—
653C4⋊Dic13—21no—
654C4⋊Dic13C2411yescharacteristic
655C4⋊Dic13C2411yescharacteristic
656C4⋊Dic13C2411yescharacteristic
657C4⋊Dic13C2411yescharacteristic
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664C4×Dic13—21no—
665C4×Dic13—21no—
666C4×Dic13—21no—
667#6099—41no—
668#6099—41no—
669#6099—41no—
670#6099—41no—
671C2×#1055—41no—
672C2×#1055—41no—
673C2×#1055—41no—
674C2×#1055—41no—
675C2×#1055C2411yescharacteristic
676C2×#1055C2411yescharacteristic
677C2×#1055C2411yescharacteristic
678C2×#1055C2411yescharacteristic
679C2×#1055C2411yescharacteristic
680C2×#1055C2411yescharacteristic
681C2×#1055C2411yescharacteristic
682C2×#1055C2411yescharacteristic
683#3546—131no—
684#3512D1311yescharacteristic, complemented
685#3355—131no—
686#3351—131no—
687#3350—131no—
688#3349—131no—
689#3345—131no—
690#3343—131no—
691#3339—131no—
692#3337—131no—
693#3323—131no—
694#3322—131no—
695#3318—131no—
696#3317—131no—
697#3310—131no—
698#3309—131no—
699#3297—131no—
700#3296—131no—
701#3234—131no—
702#3232—131no—
703#3204—131no—
704#3203—131no—
705#3198—131no—
706#3198—131no—
707#3111—131no—
708#3106—131no—
709#3099—131no—
710#3098—131no—
711#3096—131no—
712#3096—131no—
713#2981—131no—
714C23×C13—21no—
715C23×C13C22×D411yescharacteristic
716C23×C13C22×D411yescharacteristic
717C23×C13C22×D411yescharacteristic
718C23×C13C22×D411yescharacteristic
719C23×C13C22×D411yescharacteristic
720C22×D13—21no—
721C22×D13—21no—
722C22×D13—21no—
723C22×D13—81no—
724C22×D13—81no—
725C22×D13—81no—
726C22×D13—81no—
727C22×D13—81no—
728C22×D13—81no—
729Q8×C13—21no—
730Q8×C13—21no—
731Q8×C13—41no—
732Q8×C13—41no—
733D4×C13—21no—
734D4×C13—21no—
735D4×C13—41no—
736D4×C13—41no—
737D4×C13—41no—
738D4×C13—41no—
739D4×C13—41no—
740D4×C13—41no—
741D4×C13—41no—
742D4×C13—41no—
743D4×C13—41no—
744D4×C13—41no—
745D4×C13—42no—
746D4×C13—81no—
747D4×C13—81no—
748D4×C13—81no—
749D4×C13—81no—
750C2×C4×C13—21no—
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—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—41no—
768C2×C4×C13—41no—
769C2×C4×C13—42no—
770C2×C4×C13—81no—
771C2×C4×C13—81no—
772C2×C4×C13—81no—
773C2×C4×C13—81no—
774C2×C4×C13—81no—
775C2×C4×C13—81no—
776C2×C4×C13—81no—
777C2×C4×C13—81no—
778C2×C4×C13C22×D411yescharacteristic
779C2×C4×C13C22×D411yescharacteristic
780C2×C4×C13C22×D411yescharacteristic
781C2×C4×C13C22×D411yescharacteristic
782C2×C4×C13C22×D411yescharacteristic
783C2×C4×C13C22×D411yescharacteristic
784C2×C4×C13C22×D411yescharacteristic
785C2×C4×C13C22×D411yescharacteristic
786C2×C4×C13C22×D411yescharacteristic
787C2×C4×C13C2511yescharacteristic
788C22⋊D13—81no—
789C22⋊D13—81no—
790C22⋊D13—81no—
791C22⋊D13—81no—
792C22⋊D13—81no—
793C22⋊D13—81no—
794C22⋊D13—81no—
795C22⋊D13—81no—
796C22⋊D13—81no—
797C22⋊D13—81no—
798C22⋊D13—81no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—81no—
805C2×Dic13—81no—
806D52—21no—
807D52—21no—
808D52—21no—
809D52—21no—
810D52—21no—
811D52—21no—
812D52—42no—
813D52—81no—
814D52—81no—
815D52—81no—
816C4×D13—42no—
817C4×D13—81no—
818C4×D13—81no—
819C4×D13—81no—
820C4×D13—81no—
821Dic26—21no—
822Dic26—21no—
823Dic26—42no—
824#1055—21no—
825#1055—21no—
826#1055—21no—
827#1055—21no—
828#1055—21no—
829#1055—21no—
830#1055—21no—
831#1055—21no—
832#560—261no—
833#560—261no—
834#556—131no—
835#553—21no—
836#553—21no—
837#553—21no—
838#553—21no—
839#553—131no—
840#553—131no—
841#553C2×D1311yescharacteristic
842#553C2×D1311yescharacteristic, complemented
843#553C2×D1311yescharacteristic, complemented
844#553C2×D1311yescharacteristic, complemented
845#552C2×D1311yescharacteristic
846#552C2×D1311yescharacteristic, complemented
847#552C2×D1311yescharacteristic, complemented
848#552C2×D1311yescharacteristic, complemented
849#550—131no—
850#550—261no—
851#547—131no—
852#546—131no—
853#546—131no—
854#546—261no—
855D42—131no—
856#542—261no—
857#541—21no—
858#540—21no—
859#538—261no—
860#538—261no—
861#537—131no—
862#537—131no—
863#537C2×D1311yescharacteristic, complemented
864#537C2×D1311yescharacteristic, complemented
865#535—131no—
866#535—131no—
867#535—261no—
868#532—131no—
869#532C2×D1311yescharacteristic
870#529—21no—
871#529—21no—
872#529—131no—
873C2×#125C2×D1311yescharacteristic, complemented
874#520C2×D1311yescharacteristic, complemented
875#520C2×D1311yescharacteristic, complemented
876C4×#41C2×D1311yescharacteristic, complemented
877#501—131no—
878#501—131no—
879#499—131no—
880#499—131no—
881#490—131no—
882#490—131no—
883#488—131no—
884#488—131no—
885#485—131no—
886#485—131no—
887#485—131no—
888#485—131no—
889#485—131no—
890#484—131no—
891#484—131no—
892#484—131no—
893#483—131no—
894#483—131no—
895#483—131no—
896#482—131no—
897#482—131no—
898#482—131no—
899#482—131no—
900#482—131no—
901#482—131no—
902#482—131no—
903#482—131no—
904#482—131no—
905#482—131no—
906#482—131no—
907#481—131no—
908#481—131no—
909#481—131no—
910#481—131no—
911#481—131no—
912#481—131no—
913#481—131no—
914#480—131no—
915#480—131no—
916#480—131no—
917#480—131no—
918#480—131no—
919#480—131no—
920#480—131no—
921#479—131no—
922#479—131no—
923#479—131no—
924#478—131no—
925#478—131no—
926#478—131no—
927#478—131no—
928#478—131no—
929#478—131no—
930#478—131no—
931#477—131no—
932#476—131no—
933#470—131no—
934#469—131no—
935#469—131no—
936#469—131no—
937#468—131no—
938#468—131no—
939#468—131no—
940#468—131no—
941#467—131no—
942#466—131no—
943#466—131no—
944#466—131no—
945#465—131no—
946#465—131no—
947#465—131no—
948#465—131no—
949#464—131no—
950#463—131no—
951#460—131no—
952#459—131no—
953#452—131no—
954#452—131no—
955#452—131no—
956#450—131no—
957#450—131no—
958#449—131no—
959#449—131no—
960#449—131no—
961#449—131no—
962#449—131no—
963#447—131no—
964#447—131no—
965#442—131no—
966#441—131no—
967#440—131no—
968#440—131no—
969C4×SD16—131no—
970C4×SD16—131no—
971C4×D8—131no—
972C4×D8—131no—
973#436—131no—
974#436—131no—
975#435—131no—
976#435—131no—
977#435—131no—
978#435—131no—
979C8×D4—131no—
980C8×D4—131no—
981#432—131no—
982#431—131no—
983#428—131no—
984#428—131no—
985#428—131no—
986#428—131no—
987#427—131no—
988#427—131no—
989C2×#107—131no—
990C2×#106—131no—
991#418—131no—
992#418—131no—
993#417—131no—
994#417—131no—
995#416—131no—
996#416—131no—
997C2×#102—131no—
998C2×#102—131no—
999#408—131no—
1000#408—131no—
1001#408—131no—
1002#408—131no—
1003C22×C13—21no—
1004C22×C13—21no—
1005C22×C13—21no—
1006C22×C13—21no—
1007C22×C13—21no—
1008C22×C13—21no—
1009C22×C13—21no—
1010C22×C13—21no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13C23×D411yescharacteristic
1022C2×D13—41no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—162no—
1032C2×D13—162no—
1033C4×C13—21no—
1034C4×C13—21no—
1035C4×C13—21no—
1036C4×C13—21no—
1037C4×C13—21no—
1038C4×C13—21no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—41no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13#58511yescharacteristic
1050C4×C13#58511yescharacteristic
1051Dic13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056C2×#41—131no—
1057C2×#41—131no—
1058C2×#41—261no—
1059C2×#41—261no—
1060C2×#41C22×D1311yescharacteristic
1061C2×#41C22×D1311yescharacteristic
1062C2×#41C22×D1311yescharacteristic
1063C22×D4—131no—
1064C22×D4—131no—
1065C22×D4—261no—
1066C2×Q16—131no—
1067C2×SD16—131no—
1068C2×SD16—131no—
1069C2×SD16—131no—
1070C2×SD16—131no—
1071C2×D8—131no—
1072C2×D8—131no—
1073C2×D8—131no—
1074C2×M16—131no—
1075C2×M16—131no—
1076C2×M16—131no—
1077C2×M16—131no—
1078C22×C8—131no—
1079C22×C8—131no—
1080C22×C8—131no—
1081C22×C8—131no—
1082C4⋊Q8—131no—
1083C4⋊Q8C22⋊D1311yescharacteristic
1084#127—131no—
1085#127—261no—
1086#127—261no—
1087#127—261no—
1088#127C22⋊D1311yescharacteristic
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—261no—
1098#126—261no—
1099#126—261no—
1100#126—261no—
1101#126—261no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—131no—
1109#125C22×D1311yescharacteristic
1110#125C22×D1311yescharacteristic
1111#125C22×D1311yescharacteristic
1112#125C22×D1311yescharacteristic
1113#124—131no—
1114#124—261no—
1115#124—261no—
1116#124—261no—
1117#124—261no—
1118#124C22⋊D1311yescharacteristic
1119#124C22⋊D1311yescharacteristic
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—261no—
1129#123—261no—
1130#123—261no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—131no—
1138C22⋊Q8—131no—
1139C22⋊Q8—131no—
1140C22⋊Q8—261no—
1141C22⋊Q8—261no—
1142C22⋊Q8—261no—
1143C22⋊Q8C22×D1311yescharacteristic
1144C22⋊Q8C22×D1311yescharacteristic
1145C22⋊Q8C22×D1311yescharacteristic
1146C22⋊Q8C22×D1311yescharacteristic
1147#121—21no—
1148#121—21no—
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—131no—
1158#121—131no—
1159#121—131no—
1160#121—131no—
1161#121—131no—
1162#121—131no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—261no—
1167#121—261no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121—261no—
1178#121—261no—
1179#121—261no—
1180#121C22⋊D1311yescharacteristic
1181#121C22⋊D1311yescharacteristic
1182#121C22⋊D1311yescharacteristic
1183#121C22⋊D1311yescharacteristic
1184#121C22×D1311yescharacteristic
1185#121C22×D1311yescharacteristic
1186#121C22×D1311yescharacteristic
1187#121C22×D1311yescharacteristic
1188#120—261no—
1189#120—261no—
1190#120—261no—
1191#120—261no—
1192#120—261no—
1193#120—261no—
1194#120—261no—
1195#120—261no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—131no—
1199C4×Q8—261no—
1200C4×Q8C22×D1311yescharacteristic
1201C4×Q8C22×D1311yescharacteristic
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—131no—
1215C4×D4—131no—
1216C4×D4—131no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4C22×D1311yescharacteristic
1223C4×D4C22×D1311yescharacteristic
1224C4×D4C22×D1311yescharacteristic
1225C4×D4C22×D1311yescharacteristic
1226C4×D4C22×D1311yescharacteristic
1227C4×D4C22×D1311yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—131no—
1234#117—131no—
1235#117—261no—
1236#117C22×D1311yescharacteristic
1237#117C22×D1311yescharacteristic
1238#117C22×D1311yescharacteristic
1239#117C22×D1311yescharacteristic
1240#117C22×D1311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—131no—
1244C2×C4⋊C4—131no—
1245C2×C4⋊C4C22×D1311yescharacteristic
1246C2×C4⋊C4C22×D1311yescharacteristic
1247C2×C4⋊C4C22×D1311yescharacteristic
1248C2×C4⋊C4C22×D1311yescharacteristic
1249C2×C4⋊C4C22×D1311yescharacteristic
1250C2×C4⋊C4C22×D1311yescharacteristic
1251C2×C22⋊C4—261no—
1252C2×C22⋊C4—261no—
1253C2×C42—21no—
1254C2×C42C22×D1311yescharacteristic
1255#107—131no—
1256#107—131no—
1257#107—131no—
1258#107—131no—
1259#107—131no—
1260#107—131no—
1261#107—131no—
1262#107—131no—
1263#107—131no—
1264#107—131no—
1265#107—131no—
1266#107—131no—
1267#106—131no—
1268#106—131no—
1269#106—131no—
1270#106—131no—
1271#106—131no—
1272#106—131no—
1273#106—131no—
1274#106—131no—
1275#106—131no—
1276#106—131no—
1277#106—131no—
1278#106—131no—
1279C4⋊C8—131no—
1280C4⋊C8—131no—
1281C4⋊C8—131no—
1282C4⋊C8—131no—
1283#103—131no—
1284#103—131no—
1285#103—131no—
1286#103—131no—
1287#103—131no—
1288#103—131no—
1289#103—131no—
1290#103—131no—
1291#103—131no—
1292#103—131no—
1293#102—131no—
1294#102—131no—
1295#102—131no—
1296#102—131no—
1297#102—131no—
1298#102—131no—
1299#102—131no—
1300#102—131no—
1301#102—131no—
1302#102—131no—
1303#102—131no—
1304#102—131no—
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—
1315C22⋊C8—131no—
1316C22⋊C8—131no—
1317C22⋊C8—131no—
1318C22⋊C8—131no—
1319C22⋊C8—131no—
1320C22⋊C8—131no—
1321C22⋊C8—131no—
1322C22⋊C8—131no—
1323C22⋊C8—131no—
1324C22⋊C8—131no—
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327#97—131no—
1328#97—131no—
1329C4×C8—131no—
1330C4×C8—131no—
1331C2×C13—41no—
1332C2×C13—41no—
1333C2×C13—41no—
1334C2×C13—41no—
1335C2×C13—41no—
1336C2×C13—81no—
1337C2×C13#348511yescharacteristic
1338C2×C13#358411yescharacteristic
1339C2×C13#358511yescharacteristic
1340D13—81no—
1341D13—81no—
1342D13—81no—
1343C24—261no—
1344C24—261no—
1345#41—41no—
1346#41—41no—
1347#41—41no—
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—521no—
1352#41—521no—
1353#41—521no—
1354#41—521no—
1355#41—1042no—
1356#41—1042no—
1357C2×Q8—131no—
1358C2×Q8—261no—
1359C2×Q8C2×C22⋊D1311yescharacteristic
1360C2×Q8C2×C22⋊D1311yescharacteristic
1361C2×Q8C23×D1311yescharacteristic
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—131no—
1368C2×D4—131no—
1369C2×D4—131no—
1370C2×D4—261no—
1371C2×D4—261no—
1372C2×D4—261no—
1373C2×D4—261no—
1374C2×D4—261no—
1375C2×D4—261no—
1376C2×D4—261no—
1377C2×D4—261no—
1378C2×D4—261no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—521no—
1386C2×D4—521no—
1387C2×D4—521no—
1388C2×D4—521no—
1389C2×D4—1042no—
1390C2×D4C2×C22⋊D1311yescharacteristic
1391C2×D4C2×C22⋊D1311yescharacteristic
1392C2×D4C2×C22⋊D1311yescharacteristic
1393C2×D4C2×C22⋊D1311yescharacteristic
1394C2×D4C2×C22⋊D1311yescharacteristic
1395C2×D4C2×C22⋊D1311yescharacteristic
1396C2×D4C2×C22⋊D1311yescharacteristic
1397C2×D4C2×C22⋊D1311yescharacteristic
1398C2×D4C2×C22⋊D1311yescharacteristic
1399C2×D4C2×C22⋊D1311yescharacteristic
1400C2×D4C23×D1311yescharacteristic
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4C2×C22⋊D1311yescharacteristic
1418C22×C4C2×C22⋊D1311yescharacteristic
1419C22×C4C23×D1311yescharacteristic
1420C22×C4C23×D1311yescharacteristic
1421C22×C4C23×D1311yescharacteristic
1422C22×C4C23×D1311yescharacteristic
1423C22×C4C23×D1311yescharacteristic
1424Q16—521no—
1425SD16—521no—
1426SD16—521no—
1427SD16—521no—
1428SD16—521no—
1429D8—521no—
1430D8—521no—
1431D8—521no—
1432M16—521no—
1433M16—521no—
1434M16—521no—
1435M16—521no—
1436C2×C8—131no—
1437C2×C8—131no—
1438C2×C8—131no—
1439C2×C8—131no—
1440C2×C8—131no—
1441C2×C8—131no—
1442C2×C8—131no—
1443C2×C8—131no—
1444C2×C8—521no—
1445C2×C8—521no—
1446C2×C8—521no—
1447C2×C8—521no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—131no—
1472C4⋊C4—261no—
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⋊C4C2×C22⋊D1311yescharacteristic
1482C4⋊C4C2×C22⋊D1311yescharacteristic
1483C4⋊C4C2×C22⋊D1311yescharacteristic
1484C4⋊C4C2×C22⋊D1311yescharacteristic
1485C4⋊C4C23×D1311yescharacteristic
1486C4⋊C4C23×D1311yescharacteristic
1487C4⋊C4C23×D1311yescharacteristic
1488C4⋊C4C23×D1311yescharacteristic
1489C4⋊C4C23×D1311yescharacteristic
1490C4⋊C4C23×D1311yescharacteristic
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4—261no—
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⋊C4C2×C22⋊D1311yescharacteristic
1526C22⋊C4C2×C22⋊D1311yescharacteristic
1527C22⋊C4C2×C22⋊D1311yescharacteristic
1528C22⋊C4C2×C22⋊D1311yescharacteristic
1529C22⋊C4C2×C22⋊D1311yescharacteristic
1530C22⋊C4C2×C22⋊D1311yescharacteristic
1531C22⋊C4C2×C22⋊D1311yescharacteristic
1532C22⋊C4C2×C22⋊D1311yescharacteristic
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—261no—
1541C42—261no—
1542C42—261no—
1543C42C2×C22⋊D1311yescharacteristic
1544C42C2×C22⋊D1311yescharacteristic
1545C42C23×D1311yescharacteristic
1546C42C23×D1311yescharacteristic
1547C13#6181311yescharacteristic, complemented, Sylow
1548C23—21no—
1549C23—261no—
1550C23—261no—
1551C23—261no—
1552C23—1041no—
1553C23—1041no—
1554C23—1041no—
1555C23—1041no—
1556C23—1041no—
1557C23—1041no—
1558C23C22×C22⋊D1311yescharacteristic
1559C23C22×C22⋊D1311yescharacteristic
1560C23C22×C22⋊D1311yescharacteristic
1561C23C22×C22⋊D1311yescharacteristic
1562C23C22×C22⋊D1311yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—41no—
1566Q8—41no—
1567Q8—261no—
1568Q8—261no—
1569Q8—522no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—42no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—261no—
1588D4—261no—
1589D4—261no—
1590D4—261no—
1591D4—261no—
1592D4—261no—
1593D4—522no—
1594D4—1041no—
1595D4—1041no—
1596D4—1041no—
1597D4—1041no—
1598D4—1041no—
1599D4—1041no—
1600D4—1041no—
1601D4—1041no—
1602D4—1041no—
1603D4—1041no—
1604D4—1041no—
1605D4—1041no—
1606D4—1041no—
1607D4—1041no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—522no—
1642C2×C4—1041no—
1643C2×C4—1041no—
1644C2×C4—1041no—
1645C2×C4—1041no—
1646C2×C4—1041no—
1647C2×C4—1041no—
1648C2×C4C22×C22⋊D1311yescharacteristic
1649C2×C4C22×C22⋊D1311yescharacteristic
1650C2×C4C22×C22⋊D1311yescharacteristic
1651C2×C4C22×C22⋊D1311yescharacteristic
1652C2×C4C22×C22⋊D1311yescharacteristic
1653C2×C4C22×C22⋊D1311yescharacteristic
1654C2×C4C22×C22⋊D1311yescharacteristic
1655C2×C4C22×C22⋊D1311yescharacteristic
1656C2×C4C22×C22⋊D1311yescharacteristic
1657C2×C4C24×D1311yescharacteristic
1658C8—261no—
1659C8—261no—
1660C8—261no—
1661C8—261no—
1662C8—261no—
1663C8—261no—
1664C8—261no—
1665C8—261no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—21no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—521no—
1685C22—521no—
1686C22—521no—
1687C22—521no—
1688C22—521no—
1689C22—521no—
1690C22—521no—
1691C22—521no—
1692C22—521no—
1693C22—2082no—
1694C22—2082no—
1695C22C23×C22⋊D1311yescharacteristic
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—521no—
1713C4—521no—
1714C4—521no—
1715C4—521no—
1716C4—521no—
1717C4#1171964811yescharacteristic
1718C4#1171964811yescharacteristic
1719C2—41no—
1720C2—41no—
1721C2—41no—
1722C2—41no—
1723C2—41no—
1724C2—81no—
1725C2—1041no—
1726C2—1041no—
1727C2—1041no—
1728C2#1312848011yescharacteristic
1729C2#1312960711yescharacteristic
1730C2#1312961511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3512C2
socleC22×C13C23×D4
hypercenter#3512D13
hypocenterC13#61813
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #532 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #13129208C2semidirect
2. #13127436C2semidirect
3. #13127396C2semidirect
4. #13127375C2semidirect
5. #13127366C2semidirect
6. #13127300C2semidirect
7. #13127276C2semidirect
8. #13127232C2semidirect
9. #13127215C2semidirect
10. #13127046C2semidirect
11. #13127031C2semidirect
12. #13126971C2semidirect
13. #13126956C2semidirect
14. #13126851C2semidirect
15. #13126836C2semidirect
16. #13126680C2semidirect
17. #13126665C2semidirect
18. #13126026C2semidirect
19. #13126004C2semidirect
20. #13125742C2semidirect
21. #13125733C2semidirect
22. #13125682C2semidirect
23. #13125682C2semidirect
24. #13124945C2semidirect
25. #13124896C2semidirect
26. #13124825C2semidirect
27. #13124814C2semidirect
28. #13124794C2semidirect
29. #13124794C2semidirect
30. #13123912C2semidirect
31. C13×#3512C2semidirect
37. C13×#553C22semidirect
38. C13×#553C22semidirect
39. C13×#553C22semidirect
41. C13×#552C22semidirect
42. C13×#552C22semidirect
43. C13×#552C22semidirect
46. C13×#537C22semidirect
47. C13×#537C22semidirect
51. C2×C13×#125C22semidirect
52. C13×#520C22semidirect
53. C13×#520C22semidirect
54. C4×C13×#41C22semidirect
77. #11718900C22semidirect
79. #11718899C22semidirect
80. #11718899C22semidirect
81. #11718895C22semidirect
82. #11718895C22semidirect
83. #11718895C22semidirect
84. #11718895C22semidirect
91. #11718727C22semidirect
92. #11718727C22semidirect
93. #11718727C22semidirect
94. #11718727C22semidirect
95. #11718726C22semidirect
96. #11718726C22semidirect
97. #11718725C22semidirect
98. #11718725C22semidirect
99. #11718724C22semidirect
100. #11718724C22semidirect
101. #11718713C22semidirect
102. #11718712C22semidirect
105. #11718710C22semidirect
108. #11718709C22semidirect
109. #11718708C22semidirect
110. #11718708C22semidirect
113. #11718706C22semidirect
114. #11718706C22semidirect
115. #11718705C22semidirect
116. #11718704C22semidirect
117. #11718703C22semidirect
118. #11718702C22semidirect
121. #11718700C22semidirect
124. #11718699C22semidirect
125. #11718698C22semidirect
126. #11718698C22semidirect
129. #11718696C22semidirect
130. #11718696C22semidirect
131. #11718695C22semidirect
132. #11718694C22semidirect
133. #11718691C22semidirect
137. C4×#6106C22semidirect
138. C4×#6106C22semidirect
139. #11718683C22semidirect
140. #11718682C22semidirect
141. #11718679C22semidirect
145. C4×#6104C22semidirect
146. C4×#6104C22semidirect
147. #11718673C22semidirect
148. #11718673C22semidirect
151. #11718672C22semidirect
152. #11718672C22semidirect
153. D4×#1055C22semidirect
154. D4×#1055C22semidirect
155. #11718670C22semidirect
156. #11718669C22semidirect
162. #11718664C22semidirect
163. #11718664C22semidirect
164. #11718664C22semidirect
165. #11718664C22semidirect
166. #11718663C22semidirect
167. #11718663C22semidirect
170. #11718659C22semidirect
171. #11718659C22semidirect
172. #11718657C22semidirect
173. #11718657C22semidirect
174. #11718657C22semidirect
175. #11718656C22semidirect
176. #11718656C22semidirect
177. #11718632C22semidirect
178. #11718632C22semidirect
179. #11718631C22semidirect
180. #11718631C22semidirect
184. #11718629C22semidirect
185. #11718629C22semidirect
186. #11718629C22semidirect
190. #11718628C22semidirect
191. #11718628C22semidirect
192. #11718628C22semidirect
193. #11718627C22semidirect
194. #11718627C22semidirect
197. #11718625C22semidirect
198. #11718625C22semidirect
199. C2×#88048C22semidirect
200. C2×#88047C22semidirect
201. #11718587C22semidirect
202. #11718586C22semidirect
684. #3512D13semidirect
842. #553C2×D13semidirect
843. #553C2×D13semidirect
844. #553C2×D13semidirect
846. #552C2×D13semidirect
847. #552C2×D13semidirect
848. #552C2×D13semidirect
863. #537C2×D13semidirect
864. #537C2×D13semidirect
873. C2×#125C2×D13semidirect
874. #520C2×D13semidirect
875. #520C2×D13semidirect
876. C4×#41C2×D13semidirect
1547. C13#61813semidirect

Maximal subgroups

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

subgroupindex
#131292082
#131274362
#131273962
#131273752
#131273662
#131273002
#131272762
#131272322
#131272152
#131270462
#131270312
#131269712
#131269562
#131268512
#131268362
#131266802
#131266652
#131260262
#131260042
#131257422
#131257332
#131256822
#131249452
#131248962
#131248252
#131248142
#131247942
#131239122
C13×#35122
#6181313