Finite Group Databasebeta

← #16760134

Subgroups — #16760134

Order 3328.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129481C211yesmaximal, characteristic, complemented
2#13127790C211yesmaximal, characteristic, complemented
3#13127711C211yesmaximal, characteristic, complemented
4#13127598C211yesmaximal, characteristic, complemented
5#13127492C211yesmaximal, characteristic, complemented
6#13127431C211yesmaximal, characteristic, complemented
7#13127396C211yesmaximal, characteristic, complemented
8#13127390C211yesmaximal, characteristic, complemented
9#13127366C211yesmaximal, characteristic, complemented
10#13127270C211yesmaximal, characteristic, complemented
11#13127232C211yesmaximal, characteristic, complemented
12#13127067C211yesmaximal, characteristic, complemented
13#13127052C211yesmaximal, characteristic, complemented
14#13127037C211yesmaximal, characteristic, complemented
15#13126992C211yesmaximal, characteristic, complemented
16#13126977C211yesmaximal, characteristic, complemented
17#13126671C211yesmaximal, characteristic, complemented
18#13126292C211yesmaximal, characteristic, complemented
19#13126241C211yesmaximal, characteristic, complemented
20#13126232C211yesmaximal, characteristic, complemented
21#13126128C211yesmaximal, characteristic, complemented
22#13126083C211yesmaximal, characteristic, complemented
23#13126011C211yesmaximal, characteristic, complemented
24#13125113C211yesmaximal, characteristic, complemented
25#13125020C211yesmaximal, characteristic, complemented
26#13124883C211yesmaximal, characteristic, complemented
27#13124687C211yesmaximal, characteristic, complemented
28#13124667C211yesmaximal, characteristic, complemented
29#13124633C211yesmaximal, characteristic, complemented
30#13123985C211yesmaximal, characteristic, complemented
31C13×#3513C211yesmaximal, characteristic, complemented
32C13×#559C2211yescharacteristic
33C13×#554C2211yescharacteristic
34C13×#553—21no—
35C13×#553C2211yescharacteristic
36C13×#552C2211yescharacteristic
37C13×#551—21no—
38C13×#551—21no—
39C13×#547C2211yescharacteristic
40C13×#546—21no—
41C13×#546C2211yescharacteristic
42C13×#546C2211yescharacteristic
43D42×C13C2211yescharacteristic
44C13×#542C2211yescharacteristic
45C13×#540C2211yescharacteristic
46C13×#539—21no—
47C13×#538—21no—
48C13×#529C2211yescharacteristic
49C13×#529C2211yescharacteristic
50C13×#525—21no—
51C2×C13×#123—21no—
52C13×#520C2211yescharacteristic
53C13×#518C2211yescharacteristic
54C2×C4×D4×C13C2211yescharacteristic
55#11719413—21no—
56#11719407—21no—
57#11719401—21no—
58#11719374—21no—
59#11719367—21no—
60#11719365—21no—
61#11719351—21no—
62#11719326—21no—
63#11719284C2211yescharacteristic, complemented
64#11719272C2211yescharacteristic, complemented
65#11719270C2211yescharacteristic
66#11719270C2211yescharacteristic, complemented
67#11719268C2211yescharacteristic, complemented
68#11719247C2211yescharacteristic
69#11719246C2211yescharacteristic, complemented
70#11719246C2211yescharacteristic, complemented
71#11719239C2211yescharacteristic, complemented
72#11719239C2211yescharacteristic, complemented
73#11719224C2211yescharacteristic, complemented
74#11719224C2211yescharacteristic, complemented
75#11719184C2211yescharacteristic, complemented
76#11719175C2211yescharacteristic, complemented
77#11718900C2211yescharacteristic
78#11718899C2211yescharacteristic
79#11718894C2211yescharacteristic
80#11718893C2211yescharacteristic
81#11718879C2211yescharacteristic
82#11718879C2211yescharacteristic
83#11718878C2211yescharacteristic
84#11718878C2211yescharacteristic
85#11718876C2211yescharacteristic
86#11718876C2211yescharacteristic
87#11718876C2211yescharacteristic
88C2×#88072C2211yescharacteristic
89#11718752C2211yescharacteristic, complemented
90#11718748C2211yescharacteristic, complemented
91#11718741C2211yescharacteristic, complemented
92#11718740C2211yescharacteristic, complemented
93#11718736C2211yescharacteristic
94#11718733C2211yescharacteristic
95#11718732C2211yescharacteristic
96#11718731C2211yescharacteristic
97#11718727C2211yescharacteristic, complemented
98#11718727C2211yescharacteristic, complemented
99#11718726C2211yescharacteristic, complemented
100#11718725C2211yescharacteristic, complemented
101#11718725C2211yescharacteristic, complemented
102#11718725C2211yescharacteristic, complemented
103#11718724C2211yescharacteristic, complemented
104#11718724C2211yescharacteristic, complemented
105#11718718C2211yescharacteristic, complemented
106#11718718C2211yescharacteristic, complemented
107#11718717C2211yescharacteristic, complemented
108#11718717C2211yescharacteristic, complemented
109#11718717C2211yescharacteristic, complemented
110#11718716C2211yescharacteristic, complemented
111#11718715C2211yescharacteristic, complemented
112#11718715C2211yescharacteristic, complemented
113#11718713C2211yescharacteristic, complemented
114#11718712C2211yescharacteristic, complemented
115#11718710C2211yescharacteristic, complemented
116#11718710C2211yescharacteristic, complemented
117#11718706C2211yescharacteristic, complemented
118#11718706C2211yescharacteristic, complemented
119#11718706C2211yescharacteristic, complemented
120#11718704C2211yescharacteristic, complemented
121#11718703C2211yescharacteristic
122#11718703C2211yescharacteristic
123#11718703C2211yescharacteristic, complemented
124#11718702C2211yescharacteristic, complemented
125#11718700C2211yescharacteristic
126#11718700C2211yescharacteristic, complemented
127#11718699C2211yescharacteristic
128#11718699C2211yescharacteristic, complemented
129#11718696C2211yescharacteristic
130#11718696C2211yescharacteristic
131#11718696C2211yescharacteristic
132#11718696C2211yescharacteristic, complemented
133#11718696C2211yescharacteristic, complemented
134#11718695C2211yescharacteristic
135#11718695C2211yescharacteristic, complemented
136#11718694C2211yescharacteristic, complemented
137#11718691C2211yescharacteristic, complemented
138#11718689C2211yescharacteristic, complemented
139C4×#6106C2211yescharacteristic, complemented
140#11718685C2211yescharacteristic, complemented
141Q8×#1055C2211yescharacteristic, complemented
142#11718683C2211yescharacteristic, complemented
143#11718683C2211yescharacteristic, complemented
144#11718682C2211yescharacteristic, complemented
145#11718682C2211yescharacteristic, complemented
146#11718681C2211yescharacteristic, complemented
147#11718679C2211yescharacteristic, complemented
148C4×#6105C2211yescharacteristic
149C4×#6105C2211yescharacteristic
150C4×#6105C2211yescharacteristic
151C4×#6105C2211yescharacteristic, complemented
152#11718677C2211yescharacteristic
153#11718677C2211yescharacteristic, complemented
154#11718677C2211yescharacteristic, complemented
155#11718675C2211yescharacteristic
156#11718675C2211yescharacteristic
157C4×#6104C2211yescharacteristic
158C4×#6104C2211yescharacteristic, complemented
159C4×#6104C2211yescharacteristic, complemented
160#11718673C2211yescharacteristic
161#11718673C2211yescharacteristic, complemented
162#11718673C2211yescharacteristic, complemented
163#11718672C2211yescharacteristic
164#11718672C2211yescharacteristic, complemented
165D4×#1055C2211yescharacteristic, complemented
166#11718670C2211yescharacteristic
167#11718670C2211yescharacteristic
168#11718670C2211yescharacteristic
169#11718670C2211yescharacteristic
170#11718670C2211yescharacteristic
171#11718670C2211yescharacteristic, complemented
172#11718670C2211yescharacteristic, complemented
173#11718670C2211yescharacteristic, complemented
174#11718670C2211yescharacteristic, complemented
175#11718670C2211yescharacteristic, complemented
176#11718669C2211yescharacteristic
177#11718669C2211yescharacteristic, complemented
178#11718669C2211yescharacteristic, complemented
179#11718669C2211yescharacteristic, complemented
180#11718668C2211yescharacteristic
181#11718668C2211yescharacteristic
182#11718668C2211yescharacteristic
183#11718668C2211yescharacteristic, complemented
184#11718668C2211yescharacteristic, complemented
185#11718664C2211yescharacteristic, complemented
186#11718661C2211yescharacteristic, complemented
187#11718661C2211yescharacteristic, complemented
188#11718660C2211yescharacteristic, complemented
189#11718660C2211yescharacteristic, complemented
190#11718659C2211yescharacteristic, complemented
191#11718657C2211yescharacteristic, complemented
192#11718656C2211yescharacteristic, complemented
193#11718632C2211yescharacteristic, complemented
194#11718631C2211yescharacteristic, complemented
195#11718629C2211yescharacteristic, complemented
196#11718629C2211yescharacteristic, complemented
197#11718625C2211yescharacteristic, complemented
198#11718625C2211yescharacteristic, complemented
199#11718625C2211yescharacteristic, complemented
200C2×#88047C2211yescharacteristic, complemented
201#11718586C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13—21no—
206C22×D4×C13C2311yescharacteristic
207C22×D4×C13C2311yescharacteristic
208C23×C4×C13—21no—
209C13×C4⋊Q8C2311yescharacteristic
210C13×#127C2311yescharacteristic
211C13×#126—21no—
212C13×#126—21no—
213C13×#126—21no—
214C13×#126—21no—
215C13×#126D411yescharacteristic
216C13×#126D411yescharacteristic
217C13×#125—21no—
218C13×#125D411yescharacteristic
219C13×#125C2311yescharacteristic
220C13×#125C2311yescharacteristic
221C13×#124—21no—
222C13×#124—21no—
223C13×#124D411yescharacteristic
224C13×#124C2311yescharacteristic
225C13×#124C2311yescharacteristic
226C13×#123—21no—
227C13×#123—21no—
228C13×#123—21no—
229C13×#123—21no—
230C13×#123—21no—
231C13×#123—21no—
232C13×#123—21no—
233C13×#123—21no—
234C13×#123—21no—
235C13×#123—21no—
236C13×#123—21no—
237C13×#123—21no—
238C13×#123D411yescharacteristic
239C13×#123D411yescharacteristic
240C13×C22⋊Q8—21no—
241C13×C22⋊Q8—21no—
242C13×C22⋊Q8—21no—
243C13×C22⋊Q8—21no—
244C13×C22⋊Q8—21no—
245C13×C22⋊Q8D411yescharacteristic
246C13×C22⋊Q8C2311yescharacteristic
247C13×C22⋊Q8C2311yescharacteristic
248C13×#121—21no—
249C13×#121—21no—
250C13×#121—21no—
251C13×#121—21no—
252C13×#121—21no—
253C13×#121—21no—
254C13×#121D411yescharacteristic
255C13×#121C2311yescharacteristic
256C13×#121C2311yescharacteristic
257C13×#121C2311yescharacteristic
258C13×#121C2311yescharacteristic
259C13×#120—21no—
260C13×#120—21no—
261C13×#120—21no—
262C13×#120—21no—
263C4×Q8×C13C2311yescharacteristic
264C4×Q8×C13C2311yescharacteristic
265C4×Q8×C13C2311yescharacteristic
266C4×D4×C13—21no—
267C4×D4×C13—21no—
268C4×D4×C13—21no—
269C4×D4×C13—21no—
270C4×D4×C13—21no—
271C4×D4×C13—21no—
272C4×D4×C13—21no—
273C4×D4×C13—21no—
274C4×D4×C13—21no—
275C4×D4×C13C2311yescharacteristic
276C4×D4×C13C2311yescharacteristic
277C4×D4×C13C2311yescharacteristic
278C4×D4×C13C2311yescharacteristic
279C4×D4×C13C2311yescharacteristic
280C4×D4×C13C2311yescharacteristic
281C4×D4×C13C2311yescharacteristic
282C4×D4×C13C2311yescharacteristic
283C4×D4×C13C2311yescharacteristic
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C13×#117—21no—
287C13×#117—21no—
288C13×#117—21no—
289C13×#117C2311yescharacteristic
290C13×#117C2311yescharacteristic
291C13×#117C2311yescharacteristic
292C2×C13×C4⋊C4—21no—
293C2×C13×C4⋊C4—21no—
294C2×C13×C4⋊C4C2311yescharacteristic
295C2×C13×C4⋊C4C2311yescharacteristic
296C2×C13×C22⋊C4—21no—
297C2×C13×C22⋊C4—21no—
298C2×C13×C22⋊C4—21no—
299C2×C13×C22⋊C4—21no—
300C2×C13×C22⋊C4—21no—
301C2×C42×C13C2311yescharacteristic
302#88200—21no—
303#88198—21no—
304C2×#6107C2311yescharacteristic
305C2×#6106C2311yescharacteristic
306#88193—21no—
307#88193—21no—
308#88192—21no—
309#88190—21no—
310#88189—21no—
311#88189—21no—
312C2×#6105C2311yescharacteristic
313C2×#6105C2311yescharacteristic
314C2×#6105C2311yescharacteristic
315C2×#6104C2311yescharacteristic
316C2×#6104C2311yescharacteristic
317C2×#6104C2311yescharacteristic
318#88184C2311yescharacteristic
319#88184C2311yescharacteristic
320#88184C2311yescharacteristic
321#88183—21no—
322C4×C22⋊D13—21no—
323#88180C2311yescharacteristic
324#88180C2311yescharacteristic
325#88180C2311yescharacteristic
326#88180C2311yescharacteristic
327C2×C4⋊Dic13C2311yescharacteristic
328C2×C4⋊Dic13C2311yescharacteristic
329#88178—21no—
330#88178—21no—
331#88178C2311yescharacteristic
332#88178C2311yescharacteristic
333#88178C2311yescharacteristic
334C2×#6099C2311yescharacteristic
335C2×#6099C2311yescharacteristic
336C2×#6099C2311yescharacteristic
337C2×#6099C2311yescharacteristic
338C22×#1055C2311yescharacteristic
339C22×#1055C2311yescharacteristic
340#88152—21no—
341#88152—21no—
342#88152—21no—
343#88152—21no—
344#88150—21no—
345#88150—21no—
346#88150—21no—
347#88150—21no—
348#88146—21no—
349C4⋊C4×D13—21no—
350#88144—21no—
351#88144—21no—
352#88143—21no—
353#88143—21no—
354#88143—21no—
355#88143—21no—
356#88142—21no—
357#88142—21no—
358#88141—21no—
359#88141—21no—
360#88139—21no—
361#88139—21no—
362#88139—21no—
363#88139—21no—
364#88137—21no—
365#88137—21no—
366#88137—21no—
367#88137—21no—
368#88135—21no—
369#88135—21no—
370#88133—21no—
371#88133—21no—
372#88133—21no—
373#88133—21no—
374#88132—21no—
375#88132—21no—
376#88132—21no—
377#88132—21no—
378#88131—21no—
379#88131—21no—
380#88130—21no—
381#88129C2311yescharacteristic
382C4×D52C2311yescharacteristic
383C4×D52C2311yescharacteristic
384C4×D52C2311yescharacteristic
385#88126—21no—
386#88124C2311yescharacteristic
387#88124C2311yescharacteristic
388#88124C2311yescharacteristic
389#88124C2311yescharacteristic
390#88124C2311yescharacteristic
391#88123C2311yescharacteristic
392#88123C2311yescharacteristic
393#88123C2311yescharacteristic
394#88123C2311yescharacteristic
395C4×Dic26—21no—
396C4×Dic26—21no—
397C4×Dic26C2311yescharacteristic
398C4×Dic26C2311yescharacteristic
399C4×Dic26C2311yescharacteristic
400#88075C2311yescharacteristic
401#88075C2311yescharacteristic
402#88075C2311yescharacteristic
403#88075C2311yescharacteristic
404#88075C2311yescharacteristic
405#88075C2311yescharacteristic
406#88072C2311yescharacteristic
407#88072C2311yescharacteristic
408#88072C2311yescharacteristic
409#88072C2311yescharacteristic
410#88072C2311yescharacteristic
411#88072C2311yescharacteristic
412#88072C2311yescharacteristic
413#88072C2311yescharacteristic
414#88072C2311yescharacteristic
415#88072C2311yescharacteristic
416#88072C2311yescharacteristic
417#88072C2311yescharacteristic
418#88072C2311yescharacteristic
419#88072C2311yescharacteristic
420#88072C2311yescharacteristic
421#88072C2311yescharacteristic
422#88072C2311yescharacteristic
423#88072C2311yescharacteristic
424C22⋊#1055C2311yescharacteristic
425C22⋊#1055C2311yescharacteristic
426C22⋊#1055C2311yescharacteristic
427C22⋊#1055C2311yescharacteristic
428C22⋊#1055C2311yescharacteristic
429C22⋊#1055C2311yescharacteristic
430#88050C2311yescharacteristic
431#88050C2311yescharacteristic
432#88050C2311yescharacteristic
433#88050C2311yescharacteristic
434#88049C2311yescharacteristic
435#88049C2311yescharacteristic
436#88049C2311yescharacteristic
437#88049C2311yescharacteristic
438#88048C2311yescharacteristic
439#88048C2311yescharacteristic
440#88048C2311yescharacteristic
441#88048C2311yescharacteristic
442#88048C2311yescharacteristic
443#88048C2311yescharacteristic
444#88048C2311yescharacteristic
445#88048C2311yescharacteristic
446#88048C2311yescharacteristic
447#88048C2311yescharacteristic
448#88048C2311yescharacteristic
449#88048C2311yescharacteristic
450#88047C2311yescharacteristic
451#88047C2311yescharacteristic
452#88047C2311yescharacteristic
453#88047C2311yescharacteristic
454#88047C2311yescharacteristic
455#88047C2311yescharacteristic
456#88047C2311yescharacteristic
457#88047C2311yescharacteristic
458#88047C2311yescharacteristic
459#88047C2311yescharacteristic
460#88047C2311yescharacteristic
461#88047C2311yescharacteristic
462C4⋊#1055C2311yescharacteristic
463C4⋊#1055C2311yescharacteristic
464C4⋊#1055C2311yescharacteristic
465C4⋊#1055C2311yescharacteristic
466C4⋊#1055C2311yescharacteristic
467C4⋊#1055C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471C4⋊#1055C2311yescharacteristic
472#88043C2311yescharacteristic
473#88043C2311yescharacteristic
474C4×#1055C2311yescharacteristic
475C4×#1055C2311yescharacteristic
476C4×#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478#62175—131nomaximal, Sylow
479C24×C13—21no—
480C24×C13—21no—
481C13×#41—22no—
482C13×#41—41no—
483C13×#41—82no—
484C2×Q8×C13—21no—
485C2×Q8×C13C2×D411yescharacteristic
486C2×Q8×C13C2411yescharacteristic
487C2×D4×C13—22no—
488C2×D4×C13—22no—
489C2×D4×C13—21no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—21no—
496C2×D4×C13—21no—
497C2×D4×C13—21no—
498C2×D4×C13—41no—
499C2×D4×C13—41no—
500C2×D4×C13—82no—
501C2×D4×C13C2×D411yescharacteristic
502C2×D4×C13C2×D411yescharacteristic
503C2×D4×C13C2×D411yescharacteristic
504C2×D4×C13C2411yescharacteristic
505C2×D4×C13C2411yescharacteristic
506C2×D4×C13C2411yescharacteristic
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×C13—21no—
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13—82no—
519C22×C4×C13C2×D411yescharacteristic
520C22×C4×C13C2×D411yescharacteristic
521C22×C4×C13C2411yescharacteristic
522C22×C4×C13C2411yescharacteristic
523C22×C4×C13C2411yescharacteristic
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C22×Dic13—21no—
528C22×Dic13—21no—
529C2×D52C2411yescharacteristic
530C2×C4×D13—21no—
531C2×C4×D13—21no—
532C2×C4×D13—21no—
533C2×Dic26—21no—
534C2×Dic26—21no—
535C2×Dic26—21no—
536C2×Dic26—21no—
537C2×Dic26C2411yescharacteristic
538C13×C4⋊C4—21no—
539C13×C4⋊C4—21no—
540C13×C4⋊C4—21no—
541C13×C4⋊C4—21no—
542C13×C4⋊C4—21no—
543C13×C4⋊C4—21no—
544C13×C4⋊C4—21no—
545C13×C4⋊C4—21no—
546C13×C4⋊C4—21no—
547C13×C4⋊C4—21no—
548C13×C4⋊C4—21no—
549C13×C4⋊C4C2×D411yescharacteristic
550C13×C4⋊C4C2×D411yescharacteristic
551C13×C4⋊C4C2×D411yescharacteristic
552C13×C4⋊C4C2×D411yescharacteristic
553C13×C4⋊C4C2×D411yescharacteristic
554C13×C4⋊C4C2×D411yescharacteristic
555C13×C4⋊C4C2×D411yescharacteristic
556C13×C4⋊C4C2×D411yescharacteristic
557C13×C4⋊C4C2×D411yescharacteristic
558C13×C4⋊C4C2×D411yescharacteristic
559C13×C4⋊C4C2411yescharacteristic
560C13×C4⋊C4C2411yescharacteristic
561C13×C4⋊C4C2411yescharacteristic
562C13×C4⋊C4C2411yescharacteristic
563C13×C22⋊C4—21no—
564C13×C22⋊C4—21no—
565C13×C22⋊C4—21no—
566C13×C22⋊C4—21no—
567C13×C22⋊C4—21no—
568C13×C22⋊C4—21no—
569C13×C22⋊C4—21no—
570C13×C22⋊C4—21no—
571C13×C22⋊C4—21no—
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4—21no—
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4C2×D411yescharacteristic
583C13×C22⋊C4C2×D411yescharacteristic
584C13×C22⋊C4C2×D411yescharacteristic
585C13×C22⋊C4C2×D411yescharacteristic
586C13×C22⋊C4C2×D411yescharacteristic
587C13×C22⋊C4C2×D411yescharacteristic
588C13×C22⋊C4C2×D411yescharacteristic
589C13×C22⋊C4C2×D411yescharacteristic
590C13×C22⋊C4C2×D411yescharacteristic
591C13×C22⋊C4C2×D411yescharacteristic
592C42×C13—21no—
593C42×C13—21no—
594C42×C13—21no—
595C42×C13C2×D411yescharacteristic
596C42×C13C2×D411yescharacteristic
597C42×C13C2411yescharacteristic
598C42×C13C2411yescharacteristic
599C42×C13C2411yescharacteristic
600C42×C13C2411yescharacteristic
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—21no—
605C22⋊Dic13—21no—
606C22⋊Dic13—21no—
607C22⋊Dic13—21no—
608#6107—41no—
609#6106—41no—
610#6105—22no—
611#6105—41no—
612#6105—41no—
613#6104—22no—
614#6104—41no—
615#6104—41no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624C4⋊Dic13—21no—
625C4⋊Dic13—21no—
626C4⋊Dic13—21no—
627C4⋊Dic13—21no—
628C4⋊Dic13—21no—
629C4⋊Dic13—21no—
630C4⋊Dic13C2411yescharacteristic
631C4⋊Dic13C2411yescharacteristic
632C4⋊Dic13C2411yescharacteristic
633C4⋊Dic13C2411yescharacteristic
634C4⋊Dic13C2411yescharacteristic
635C4⋊Dic13C2411yescharacteristic
636#6101—21no—
637#6101—21no—
638#6101—21no—
639#6101—21no—
640#6101—21no—
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652C4×Dic13—21no—
653C4×Dic13—21no—
654C4×Dic13—21no—
655C4×Dic13—21no—
656C4×Dic13—21no—
657C4×Dic13—21no—
658C4×Dic13—21no—
659#6099—41no—
660#6099—41no—
661#6099—41no—
662#6099—41no—
663C2×#1055—41no—
664C2×#1055—41no—
665C2×#1055C2411yescharacteristic
666C2×#1055C2411yescharacteristic
667C2×#1055C2411yescharacteristic
668C2×#1055C2411yescharacteristic
669C2×#1055C2411yescharacteristic
670C2×#1055C2411yescharacteristic
671C2×#1055C2411yescharacteristic
672C2×#1055C2411yescharacteristic
673#3565—131no—
674#3513D1311yescharacteristic, complemented
675#3389—131no—
676#3381—131no—
677#3371—131no—
678#3361—131no—
679#3354—131no—
680#3351—131no—
681#3351—131no—
682#3349—131no—
683#3343—131no—
684#3339—131no—
685#3324—131no—
686#3323—131no—
687#3322—131no—
688#3319—131no—
689#3318—131no—
690#3296—131no—
691#3262—131no—
692#3257—131no—
693#3256—131no—
694#3244—131no—
695#3241—131no—
696#3233—131no—
697#3125—131no—
698#3118—131no—
699#3105—131no—
700#3083—131no—
701#3081—131no—
702#3077—131no—
703#2993—131no—
704C23×C13—21no—
705C23×C13—21no—
706C23×C13—21no—
707C23×C13—42no—
708C23×C13—42no—
709C23×C13—42no—
710C23×C13—81no—
711C23×C13—81no—
712C23×C13—81no—
713C23×C13C22×D411yescharacteristic
714C23×C13C22×D411yescharacteristic
715C23×C13C22×D411yescharacteristic
716C22×D13—21no—
717Q8×C13—21no—
718Q8×C13—21no—
719Q8×C13—41no—
720Q8×C13—81no—
721D4×C13—21no—
722D4×C13—21no—
723D4×C13—21no—
724D4×C13—21no—
725D4×C13—21no—
726D4×C13—41no—
727D4×C13—41no—
728D4×C13—41no—
729D4×C13—42no—
730D4×C13—42no—
731D4×C13—42no—
732D4×C13—42no—
733D4×C13—81no—
734D4×C13—81no—
735D4×C13—81no—
736D4×C13—81no—
737D4×C13—81no—
738D4×C132−1+412yes—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—41no—
751C2×C4×C13—41no—
752C2×C4×C13—42no—
753C2×C4×C13—42no—
754C2×C4×C13—81no—
755C2×C4×C13—81no—
756C2×C4×C13—81no—
757C2×C4×C13—81no—
758C2×C4×C13—81no—
759C2×C4×C13—81no—
760C2×C4×C13—81no—
761C2×C4×C13—81no—
762C2×C4×C13—81no—
763C2×C4×C13C22×D411yescharacteristic
764C2×C4×C13C22×D411yescharacteristic
765C2×C4×C13C22×D411yescharacteristic
766C2×C4×C13C22×D411yescharacteristic
767C2×C4×C13C22×D411yescharacteristic
768C2×C4×C13C22×D411yescharacteristic
769C2×C4×C13C22×D411yescharacteristic
770C2×C4×C13C22×D411yescharacteristic
771C2×C4×C13C22×D411yescharacteristic
772C2×C4×C13C22×D411yescharacteristic
773C2×C4×C13C22×D411yescharacteristic
774C2×C4×C13C2511yescharacteristic
775C22⋊D13—81no—
776C22⋊D13—81no—
777C22⋊D13—81no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—81no—
786C2×Dic13—81no—
787D52—21no—
788D52—21no—
789C4×D13—81no—
790C4×D13—81no—
791C4×D13—81no—
792Dic26—21no—
793Dic26—21no—
794Dic26—81no—
795Dic26—81no—
796Dic26—81no—
797Dic26—81no—
798#1055—21no—
799#1055—21no—
800#1055—21no—
801#1055—21no—
802#1055—21no—
803#1055—21no—
804#1055—21no—
805#1055—21no—
806#563—261no—
807#562—261no—
808#559C2×D1311yescharacteristic
809#557—131no—
810#556—131no—
811#556—261no—
812#555—131no—
813#554—131no—
814#554C2×D1311yescharacteristic
815#553—21no—
816#553—131no—
817#553—131no—
818#553C2×D1311yescharacteristic
819#552—131no—
820#552—131no—
821#552—261no—
822#552C2×D1311yescharacteristic
823#551—21no—
824#551—21no—
825#547C2×D1311yescharacteristic
826#546—21no—
827#546C2×D1311yescharacteristic
828#546C2×D1311yescharacteristic
829D42C2×D1311yescharacteristic
830#544—131no—
831#544—131no—
832#542—131no—
833#542—131no—
834#542—261no—
835#542—261no—
836#542C2×D1311yescharacteristic
837#541—261no—
838#540C2×D1311yescharacteristic
839#539—21no—
840#539—261no—
841#538—21no—
842#533—131no—
843#529—131no—
844#529C2×D1311yescharacteristic
845#529C2×D1311yescharacteristic
846#525—21no—
847C2×#123—21no—
848#520C2×D1311yescharacteristic
849#518C2×D1311yescharacteristic
850C2×C4×D4C2×D1311yescharacteristic
851#501—131no—
852#501—131no—
853#499—131no—
854#499—131no—
855#499—131no—
856#498—131no—
857#490—131no—
858#489—131no—
859#488—131no—
860#488—131no—
861#488—131no—
862#486—131no—
863#485—131no—
864#485—131no—
865#485—131no—
866#485—131no—
867#484—131no—
868#483—131no—
869#483—131no—
870#482—131no—
871#482—131no—
872#482—131no—
873#482—131no—
874#482—131no—
875#482—131no—
876#481—131no—
877#481—131no—
878#481—131no—
879#481—131no—
880#480—131no—
881#479—131no—
882#479—131no—
883#479—131no—
884#479—131no—
885#478—131no—
886#478—131no—
887#478—131no—
888#478—131no—
889#478—131no—
890#478—131no—
891#478—131no—
892#478—131no—
893#478—131no—
894#478—131no—
895#478—131no—
896#478—131no—
897#477—131no—
898#477—131no—
899#477—131no—
900#476—131no—
901#476—131no—
902#476—131no—
903#476—131no—
904#475—131no—
905#474—131no—
906#474—131no—
907#474—131no—
908#474—131no—
909#474—131no—
910#474—131no—
911#470—131no—
912#469—131no—
913#469—131no—
914#468—131no—
915#468—131no—
916#468—131no—
917#468—131no—
918#468—131no—
919#467—131no—
920#466—131no—
921#466—131no—
922#465—131no—
923#464—131no—
924#464—131no—
925#464—131no—
926#463—131no—
927#463—131no—
928#463—131no—
929#463—131no—
930#463—131no—
931#460—131no—
932#459—131no—
933#452—131no—
934#450—131no—
935#450—131no—
936#449—131no—
937#447—131no—
938#447—131no—
939#446—131no—
940C8×Q8—131no—
941#442—131no—
942#442—131no—
943#441—131no—
944#440—131no—
945C4×SD16—131no—
946C4×SD16—131no—
947C4×SD16—131no—
948C4×SD16—131no—
949C4×SD16—131no—
950C4×D8—131no—
951C4×D8—131no—
952C4×D8—131no—
953#436—131no—
954#436—131no—
955#436—131no—
956#435—131no—
957#435—131no—
958C8×D4—131no—
959#433—131no—
960#433—131no—
961#431—131no—
962#428—131no—
963#428—131no—
964#428—131no—
965#428—131no—
966#427—131no—
967C2×#107—131no—
968#424—131no—
969#424—131no—
970#423—131no—
971#418—131no—
972#418—131no—
973#418—131no—
974#417—131no—
975#416—131no—
976C2×#102—131no—
977C22×C13—21no—
978C22×C13—21no—
979C22×C13—21no—
980C22×C13—21no—
981C22×C13—21no—
982C22×C13—21no—
983C22×C13—21no—
984C22×C13—21no—
985C22×C13—21no—
986C22×C13—22no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13—41no—
994C22×C13—41no—
995C22×C13—84no—
996C22×C13—162no—
997C22×C13C23×D411yescharacteristic
998C2×D13—41no—
999C2×D13—41no—
1000C2×D13—41no—
1001C4×C13—21no—
1002C4×C13—21no—
1003C4×C13—21no—
1004C4×C13—21no—
1005C4×C13—21no—
1006C4×C13—21no—
1007C4×C13—21no—
1008C4×C13—21no—
1009C4×C13—21no—
1010C4×C13—21no—
1011C4×C13—21no—
1012C4×C13—41no—
1013C4×C13—41no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13C2×2−1+411yescharacteristic
1018C4×C13#58511yescharacteristic
1019Dic13—41no—
1020Dic13—41no—
1021Dic13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024Dic13—41no—
1025Dic13—41no—
1026C2×#41—21no—
1027C2×#41C22×D1311yescharacteristic
1028C22×D4—21no—
1029C22×D4C22×D1311yescharacteristic
1030C22×D4C22×D1311yescharacteristic
1031C23×C4—21no—
1032C2×Q16—131no—
1033C2×SD16—131no—
1034C2×SD16—131no—
1035C2×SD16—131no—
1036C2×SD16—131no—
1037C2×D8—131no—
1038C2×D8—131no—
1039C2×D8—131no—
1040C2×M16—131no—
1041C2×M16—131no—
1042C2×M16—131no—
1043C2×M16—131no—
1044C22×C8—131no—
1045C22×C8—131no—
1046C4⋊Q8—131no—
1047C4⋊Q8—131no—
1048C4⋊Q8—131no—
1049C4⋊Q8—131no—
1050C4⋊Q8—261no—
1051C4⋊Q8—261no—
1052C4⋊Q8—261no—
1053C4⋊Q8C22×D1311yescharacteristic
1054#127C22×D1311yescharacteristic
1055#126—21no—
1056#126—21no—
1057#126—21no—
1058#126—21no—
1059#126—261no—
1060#126—261no—
1061#126—261no—
1062#126—261no—
1063#126—261no—
1064#126—261no—
1065#126—261no—
1066#126—261no—
1067#126—261no—
1068#126C22⋊D1311yescharacteristic
1069#126C22⋊D1311yescharacteristic
1070#125—21no—
1071#125—131no—
1072#125—131no—
1073#125—131no—
1074#125—131no—
1075#125—131no—
1076#125—261no—
1077#125—261no—
1078#125—261no—
1079#125—261no—
1080#125—261no—
1081#125—261no—
1082#125C22⋊D1311yescharacteristic
1083#125C22×D1311yescharacteristic
1084#125C22×D1311yescharacteristic
1085#124—21no—
1086#124—21no—
1087#124—131no—
1088#124—261no—
1089#124—261no—
1090#124—261no—
1091#124—261no—
1092#124—261no—
1093#124C22⋊D1311yescharacteristic
1094#124C22×D1311yescharacteristic
1095#124C22×D1311yescharacteristic
1096#123—21no—
1097#123—21no—
1098#123—21no—
1099#123—21no—
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—21no—
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—261no—
1109#123—261no—
1110#123—261no—
1111#123—261no—
1112#123—261no—
1113#123—261no—
1114#123—261no—
1115#123C22⋊D1311yescharacteristic
1116#123C22⋊D1311yescharacteristic
1117C22⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—131no—
1123C22⋊Q8—131no—
1124C22⋊Q8—131no—
1125C22⋊Q8—261no—
1126C22⋊Q8—261no—
1127C22⋊Q8—261no—
1128C22⋊Q8—261no—
1129C22⋊Q8—261no—
1130C22⋊Q8—261no—
1131C22⋊Q8—261no—
1132C22⋊Q8—261no—
1133C22⋊Q8—261no—
1134C22⋊Q8—261no—
1135C22⋊Q8—261no—
1136C22⋊Q8C22⋊D1311yescharacteristic
1137C22⋊Q8C22×D1311yescharacteristic
1138C22⋊Q8C22×D1311yescharacteristic
1139#121—21no—
1140#121—21no—
1141#121—21no—
1142#121—21no—
1143#121—21no—
1144#121—21no—
1145#121—131no—
1146#121—131no—
1147#121—131no—
1148#121—261no—
1149#121—261no—
1150#121—261no—
1151#121C22⋊D1311yescharacteristic
1152#121C22×D1311yescharacteristic
1153#121C22×D1311yescharacteristic
1154#121C22×D1311yescharacteristic
1155#121C22×D1311yescharacteristic
1156#120—21no—
1157#120—21no—
1158#120—21no—
1159#120—21no—
1160C4×Q8—131no—
1161C4×Q8—131no—
1162C4×Q8—131no—
1163C4×Q8—261no—
1164C4×Q8—261no—
1165C4×Q8—261no—
1166C4×Q8—261no—
1167C4×Q8C22×D1311yescharacteristic
1168C4×Q8C22×D1311yescharacteristic
1169C4×Q8C22×D1311yescharacteristic
1170C4×D4—21no—
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
1175C4×D4—21no—
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—131no—
1180C4×D4—131no—
1181C4×D4—131no—
1182C4×D4—261no—
1183C4×D4—261no—
1184C4×D4—261no—
1185C4×D4C22×D1311yescharacteristic
1186C4×D4C22×D1311yescharacteristic
1187C4×D4C22×D1311yescharacteristic
1188C4×D4C22×D1311yescharacteristic
1189C4×D4C22×D1311yescharacteristic
1190C4×D4C22×D1311yescharacteristic
1191C4×D4C22×D1311yescharacteristic
1192C4×D4C22×D1311yescharacteristic
1193C4×D4C22×D1311yescharacteristic
1194C4×D4C22×D1311yescharacteristic
1195C4×D4C22×D1311yescharacteristic
1196#117—21no—
1197#117—21no—
1198#117—21no—
1199#117—131no—
1200#117—131no—
1201#117—131no—
1202#117—131no—
1203#117—261no—
1204#117—261no—
1205#117—261no—
1206#117—261no—
1207#117C22×D1311yescharacteristic
1208#117C22×D1311yescharacteristic
1209#117C22×D1311yescharacteristic
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—131no—
1213C2×C4⋊C4—131no—
1214C2×C4⋊C4—261no—
1215C2×C4⋊C4C22×D1311yescharacteristic
1216C2×C4⋊C4C22×D1311yescharacteristic
1217C2×C22⋊C4—21no—
1218C2×C22⋊C4—21no—
1219C2×C22⋊C4—21no—
1220C2×C22⋊C4—21no—
1221C2×C22⋊C4—21no—
1222C2×C42C22×D1311yescharacteristic
1223#107—131no—
1224#107—131no—
1225#107—131no—
1226#107—131no—
1227#107—131no—
1228#107—131no—
1229#107—131no—
1230#107—131no—
1231#107—131no—
1232#107—131no—
1233#107—131no—
1234#107—131no—
1235#106—131no—
1236#106—131no—
1237#106—131no—
1238#106—131no—
1239#106—131no—
1240#106—131no—
1241#106—131no—
1242#106—131no—
1243#106—131no—
1244#106—131no—
1245#106—131no—
1246#106—131no—
1247C4⋊C8—131no—
1248C4⋊C8—131no—
1249C4⋊C8—131no—
1250C4⋊C8—131no—
1251C4⋊C8—131no—
1252C4⋊C8—131no—
1253C4⋊C8—131no—
1254C4⋊C8—131no—
1255C4⋊C8—131no—
1256C4⋊C8—131no—
1257#103—131no—
1258#103—131no—
1259#103—131no—
1260#103—131no—
1261#103—131no—
1262#103—131no—
1263#103—131no—
1264#103—131no—
1265#103—131no—
1266#103—131no—
1267#102—131no—
1268#102—131no—
1269#102—131no—
1270#102—131no—
1271#102—131no—
1272#102—131no—
1273#102—131no—
1274#102—131no—
1275#102—131no—
1276#102—131no—
1277#102—131no—
1278#102—131no—
1279#102—131no—
1280#102—131no—
1281#102—131no—
1282#102—131no—
1283#102—131no—
1284#102—131no—
1285#102—131no—
1286#102—131no—
1287#102—131no—
1288#102—131no—
1289C22⋊C8—131no—
1290C22⋊C8—131no—
1291C22⋊C8—131no—
1292C22⋊C8—131no—
1293C22⋊C8—131no—
1294C22⋊C8—131no—
1295#97—131no—
1296#97—131no—
1297C4×C8—131no—
1298C4×C8—131no—
1299C4×C8—131no—
1300C4×C8—131no—
1301C2×C13—41no—
1302C2×C13—41no—
1303C2×C13—41no—
1304C2×C13—42no—
1305C2×C13—81no—
1306C2×C13—81no—
1307C2×C13#348911yescharacteristic
1308C2×C13#358411yescharacteristic
1309C2×C13#358511yescharacteristic
1310D13—81no—
1311C24—21no—
1312C24—21no—
1313#41—22no—
1314#41—41no—
1315#41—82no—
1316C2×Q8—21no—
1317C2×Q8—131no—
1318C2×Q8—261no—
1319C2×Q8—261no—
1320C2×Q8—261no—
1321C2×Q8—261no—
1322C2×Q8C2×C22⋊D1311yescharacteristic
1323C2×Q8C23×D1311yescharacteristic
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—82no—
1338C2×D4—131no—
1339C2×D4—261no—
1340C2×D4—261no—
1341C2×D4—261no—
1342C2×D4C2×C22⋊D1311yescharacteristic
1343C2×D4C2×C22⋊D1311yescharacteristic
1344C2×D4C2×C22⋊D1311yescharacteristic
1345C2×D4C23×D1311yescharacteristic
1346C2×D4C23×D1311yescharacteristic
1347C2×D4C23×D1311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—82no—
1360C22×C4—261no—
1361C22×C4—261no—
1362C22×C4—261no—
1363C22×C4—261no—
1364C22×C4—261no—
1365C22×C4C2×C22⋊D1311yescharacteristic
1366C22×C4C2×C22⋊D1311yescharacteristic
1367C22×C4C23×D1311yescharacteristic
1368C22×C4C23×D1311yescharacteristic
1369C22×C4C23×D1311yescharacteristic
1370Q16—521no—
1371SD16—262no—
1372SD16—521no—
1373SD16—521no—
1374SD16—521no—
1375D8—262no—
1376D8—521no—
1377D8—521no—
1378M16—521no—
1379M16—521no—
1380M16—521no—
1381M16—521no—
1382C2×C8—131no—
1383C2×C8—131no—
1384C2×C8—131no—
1385C2×C8—131no—
1386C2×C8—131no—
1387C2×C8—131no—
1388C2×C8—131no—
1389C2×C8—131no—
1390C2×C8—521no—
1391C2×C8—521no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—131no—
1404C4⋊C4—131no—
1405C4⋊C4—131no—
1406C4⋊C4—131no—
1407C4⋊C4—131no—
1408C4⋊C4—131no—
1409C4⋊C4—261no—
1410C4⋊C4—261no—
1411C4⋊C4—261no—
1412C4⋊C4—261no—
1413C4⋊C4—261no—
1414C4⋊C4—261no—
1415C4⋊C4—261no—
1416C4⋊C4—261no—
1417C4⋊C4—261no—
1418C4⋊C4—261no—
1419C4⋊C4—261no—
1420C4⋊C4—261no—
1421C4⋊C4—261no—
1422C4⋊C4—261no—
1423C4⋊C4—261no—
1424C4⋊C4—261no—
1425C4⋊C4—261no—
1426C4⋊C4—261no—
1427C4⋊C4—261no—
1428C4⋊C4—261no—
1429C4⋊C4—261no—
1430C4⋊C4—261no—
1431C4⋊C4C2×C22⋊D1311yescharacteristic
1432C4⋊C4C2×C22⋊D1311yescharacteristic
1433C4⋊C4C2×C22⋊D1311yescharacteristic
1434C4⋊C4C2×C22⋊D1311yescharacteristic
1435C4⋊C4C2×C22⋊D1311yescharacteristic
1436C4⋊C4C2×C22⋊D1311yescharacteristic
1437C4⋊C4C2×C22⋊D1311yescharacteristic
1438C4⋊C4C2×C22⋊D1311yescharacteristic
1439C4⋊C4C2×C22⋊D1311yescharacteristic
1440C4⋊C4C2×C22⋊D1311yescharacteristic
1441C4⋊C4C23×D1311yescharacteristic
1442C4⋊C4C23×D1311yescharacteristic
1443C4⋊C4C23×D1311yescharacteristic
1444C4⋊C4C23×D1311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—261no—
1465C22⋊C4—261no—
1466C22⋊C4—261no—
1467C22⋊C4—261no—
1468C22⋊C4—261no—
1469C22⋊C4—261no—
1470C22⋊C4—261no—
1471C22⋊C4—261no—
1472C22⋊C4—261no—
1473C22⋊C4—261no—
1474C22⋊C4—261no—
1475C22⋊C4—261no—
1476C22⋊C4—261no—
1477C22⋊C4—261no—
1478C22⋊C4—261no—
1479C22⋊C4C2×C22⋊D1311yescharacteristic
1480C22⋊C4C2×C22⋊D1311yescharacteristic
1481C22⋊C4C2×C22⋊D1311yescharacteristic
1482C22⋊C4C2×C22⋊D1311yescharacteristic
1483C22⋊C4C2×C22⋊D1311yescharacteristic
1484C22⋊C4C2×C22⋊D1311yescharacteristic
1485C22⋊C4C2×C22⋊D1311yescharacteristic
1486C22⋊C4C2×C22⋊D1311yescharacteristic
1487C22⋊C4C2×C22⋊D1311yescharacteristic
1488C22⋊C4C2×C22⋊D1311yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—261no—
1493C42—261no—
1494C42—261no—
1495C42—261no—
1496C42—261no—
1497C42—261no—
1498C42—261no—
1499C42C2×C22⋊D1311yescharacteristic
1500C42C2×C22⋊D1311yescharacteristic
1501C42C23×D1311yescharacteristic
1502C42C23×D1311yescharacteristic
1503C42C23×D1311yescharacteristic
1504C42C23×D1311yescharacteristic
1505C13#6217511yescharacteristic, complemented, Sylow
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—42no—
1511C23—42no—
1512C23—81no—
1513C23—81no—
1514C23—81no—
1515C23—261no—
1516C23C22×C22⋊D1311yescharacteristic
1517C23C22×C22⋊D1311yescharacteristic
1518C23C22×C22⋊D1311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—261no—
1524Q8—261no—
1525Q8—1041no—
1526Q8—1041no—
1527Q8—1041no—
1528Q8—1041no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—41no—
1536D4—41no—
1537D4—42no—
1538D4—42no—
1539D4—42no—
1540D4—42no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—261no—
1547D4—261no—
1548D4—1041no—
1549D4—1041no—
1550D4—1041no—
1551D4#8825712yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—42no—
1566C2×C4—42no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—261no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—261no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—1041no—
1584C2×C4—1041no—
1585C2×C4—1041no—
1586C2×C4—1041no—
1587C2×C4—1041no—
1588C2×C4C22×C22⋊D1311yescharacteristic
1589C2×C4C22×C22⋊D1311yescharacteristic
1590C2×C4C22×C22⋊D1311yescharacteristic
1591C2×C4C22×C22⋊D1311yescharacteristic
1592C2×C4C22×C22⋊D1311yescharacteristic
1593C2×C4C22×C22⋊D1311yescharacteristic
1594C2×C4C22×C22⋊D1311yescharacteristic
1595C2×C4C22×C22⋊D1311yescharacteristic
1596C2×C4C22×C22⋊D1311yescharacteristic
1597C2×C4C22×C22⋊D1311yescharacteristic
1598C2×C4C22×C22⋊D1311yescharacteristic
1599C2×C4C24×D1311yescharacteristic
1600C8—261no—
1601C8—261no—
1602C8—261no—
1603C8—261no—
1604C8—261no—
1605C8—261no—
1606C8—261no—
1607C8—261no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—22no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—84no—
1627C22—162no—
1628C22—521no—
1629C22—521no—
1630C22—521no—
1631C22C23×C22⋊D1311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—521no—
1649C4—521no—
1650C4—521no—
1651C4—521no—
1652C4—521no—
1653C4—521no—
1654C4—521no—
1655C4C2×#8825711yescharacteristic
1656C4#1171964811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—42no—
1661C2—81no—
1662C2—81no—
1663C2—1041no—
1664C2#1312851611yescharacteristic
1665C2#1312960711yescharacteristic
1666C2#1312961611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3513C2
socleC22×C13C23×D4
hypercenter#3513D13
hypocenterC13#62175
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #13129481C2semidirect
2. #13127790C2semidirect
3. #13127711C2semidirect
4. #13127598C2semidirect
5. #13127492C2semidirect
6. #13127431C2semidirect
7. #13127396C2semidirect
8. #13127390C2semidirect
9. #13127366C2semidirect
10. #13127270C2semidirect
11. #13127232C2semidirect
12. #13127067C2semidirect
13. #13127052C2semidirect
14. #13127037C2semidirect
15. #13126992C2semidirect
16. #13126977C2semidirect
17. #13126671C2semidirect
18. #13126292C2semidirect
19. #13126241C2semidirect
20. #13126232C2semidirect
21. #13126128C2semidirect
22. #13126083C2semidirect
23. #13126011C2semidirect
24. #13125113C2semidirect
25. #13125020C2semidirect
26. #13124883C2semidirect
27. #13124687C2semidirect
28. #13124667C2semidirect
29. #13124633C2semidirect
30. #13123985C2semidirect
31. C13×#3513C2semidirect
63. #11719284C22semidirect
64. #11719272C22semidirect
66. #11719270C22semidirect
67. #11719268C22semidirect
69. #11719246C22semidirect
70. #11719246C22semidirect
71. #11719239C22semidirect
72. #11719239C22semidirect
73. #11719224C22semidirect
74. #11719224C22semidirect
75. #11719184C22semidirect
76. #11719175C22semidirect
89. #11718752C22semidirect
90. #11718748C22semidirect
91. #11718741C22semidirect
92. #11718740C22semidirect
97. #11718727C22semidirect
98. #11718727C22semidirect
99. #11718726C22semidirect
100. #11718725C22semidirect
101. #11718725C22semidirect
102. #11718725C22semidirect
103. #11718724C22semidirect
104. #11718724C22semidirect
105. #11718718C22semidirect
106. #11718718C22semidirect
107. #11718717C22semidirect
108. #11718717C22semidirect
109. #11718717C22semidirect
110. #11718716C22semidirect
111. #11718715C22semidirect
112. #11718715C22semidirect
113. #11718713C22semidirect
114. #11718712C22semidirect
115. #11718710C22semidirect
116. #11718710C22semidirect
117. #11718706C22semidirect
118. #11718706C22semidirect
119. #11718706C22semidirect
120. #11718704C22semidirect
123. #11718703C22semidirect
124. #11718702C22semidirect
126. #11718700C22semidirect
128. #11718699C22semidirect
132. #11718696C22semidirect
133. #11718696C22semidirect
135. #11718695C22semidirect
136. #11718694C22semidirect
137. #11718691C22semidirect
138. #11718689C22semidirect
139. C4×#6106C22semidirect
140. #11718685C22semidirect
141. Q8×#1055C22semidirect
142. #11718683C22semidirect
143. #11718683C22semidirect
144. #11718682C22semidirect
145. #11718682C22semidirect
146. #11718681C22semidirect
147. #11718679C22semidirect
151. C4×#6105C22semidirect
153. #11718677C22semidirect
154. #11718677C22semidirect
158. C4×#6104C22semidirect
159. C4×#6104C22semidirect
161. #11718673C22semidirect
162. #11718673C22semidirect
164. #11718672C22semidirect
165. D4×#1055C22semidirect
171. #11718670C22semidirect
172. #11718670C22semidirect
173. #11718670C22semidirect
174. #11718670C22semidirect
175. #11718670C22semidirect
177. #11718669C22semidirect
178. #11718669C22semidirect
179. #11718669C22semidirect
183. #11718668C22semidirect
184. #11718668C22semidirect
185. #11718664C22semidirect
186. #11718661C22semidirect
187. #11718661C22semidirect
188. #11718660C22semidirect
189. #11718660C22semidirect
190. #11718659C22semidirect
191. #11718657C22semidirect
192. #11718656C22semidirect
193. #11718632C22semidirect
194. #11718631C22semidirect
195. #11718629C22semidirect
196. #11718629C22semidirect
197. #11718625C22semidirect
198. #11718625C22semidirect
199. #11718625C22semidirect
200. C2×#88047C22semidirect
201. #11718586C22semidirect
202. #11718585C22semidirect
674. #3513D13semidirect
1505. C13#62175semidirect

Maximal subgroups

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

subgroupindex
#131294812
#131277902
#131277112
#131275982
#131274922
#131274312
#131273962
#131273902
#131273662
#131272702
#131272322
#131270672
#131270522
#131270372
#131269922
#131269772
#131266712
#131262922
#131262412
#131262322
#131261282
#131260832
#131260112
#131251132
#131250202
#131248832
#131246872
#131246672
#131246332
#131239852
C13×#35132
#6217513