Finite Group Databasebeta

← #16744612

Subgroups — #16744612

Order 3328.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128429C211yesmaximal, characteristic, complemented
2#13127902C211yesmaximal, characteristic, complemented
3#13127781C211yesmaximal, characteristic, complemented
4#13127672C211yesmaximal, characteristic, complemented
5#13127589C211yesmaximal, characteristic, complemented
6#13127396C211yesmaximal, characteristic, complemented
7#13127366C211yesmaximal, characteristic, complemented
8#13127336C211yesmaximal, characteristic, complemented
9#13127098C211yesmaximal, characteristic, complemented
10#13127037C211yesmaximal, characteristic, complemented
11#13127016C211yesmaximal, characteristic, complemented
12#13126956C211yesmaximal, characteristic, complemented
13#13126872C211yesmaximal, characteristic, complemented
14#13126812C211yesmaximal, characteristic, complemented
15#13126463C211yesmaximal, characteristic, complemented
16#13126387C211yesmaximal, characteristic, complemented
17#13126372C211yesmaximal, characteristic, complemented
18#13125436C211yesmaximal, characteristic, complemented
19#13125432C211yesmaximal, characteristic, complemented
20#13125400C211yesmaximal, characteristic, complemented
21#13124912C211yesmaximal, characteristic, complemented
22#13124901C211yesmaximal, characteristic, complemented
23#13124896C211yesmaximal, characteristic, complemented
24#13124883C211yesmaximal, characteristic, complemented
25#13124854C211yesmaximal, characteristic, complemented
26#13124848C211yesmaximal, characteristic, complemented
27#13123803C211yesmaximal, characteristic, complemented
28C4×#88205C211yesmaximal, characteristic, complemented
29C4×#88186C211yesmaximal, characteristic, complemented
30C4×#88204C211yesmaximal, characteristic, complemented
31C13×#3475C211yesmaximal, characteristic, complemented
32C13×#556C2211yescharacteristic
33C13×#555C2211yescharacteristic
34C13×#554C2211yescharacteristic
35C13×#553—21no—
36C13×#552—21no—
37C13×#552C2211yescharacteristic
38C13×#552C2211yescharacteristic
39C13×#551—21no—
40C13×#551—21no—
41C13×#547C2211yescharacteristic
42C13×#546C2211yescharacteristic
43C13×#546C2211yescharacteristic
44C13×#533C2211yescharacteristic
45C13×#529—21no—
46C13×#529—21no—
47C13×#529C2211yescharacteristic
48C13×#529C2211yescharacteristic
49C13×#525—21no—
50C4×C13×#41C2211yescharacteristic
51C4×C13×#41C2211yescharacteristic
52C4×C13×#41C2211yescharacteristic
53C2×C4×D4×C13C2211yescharacteristic
54C2×C13×#117—21no—
55#11719537—21no—
56C2×#88205C2211yescharacteristic
57C2×#88204C2211yescharacteristic
58C2×#88186C2211yescharacteristic
59#11719290C2211yescharacteristic, complemented
60#11719273—21no—
61#11719272C2211yescharacteristic, complemented
62#11719270C2211yescharacteristic
63#11719270C2211yescharacteristic, complemented
64#11719264—21no—
65#11719258C2211yescharacteristic
66#11719257C2211yescharacteristic
67#11719257C2211yescharacteristic, complemented
68#11719247C2211yescharacteristic
69#11719245—21no—
70#11719245—21no—
71#11719233—21no—
72#11719233—21no—
73#11719227—21no—
74#11719184C2211yescharacteristic
75#11719184C2211yescharacteristic, complemented
76#11719182C2211yescharacteristic, complemented
77C4×#6127C2211yescharacteristic
78C4×#6127C2211yescharacteristic, complemented
79C2×C4×Dic26C2211yescharacteristic, complemented
80#11718900C2211yescharacteristic
81#11718899C2211yescharacteristic
82#11718899C2211yescharacteristic
83#11718899C2211yescharacteristic
84#11718894C2211yescharacteristic
85#11718893C2211yescharacteristic
86#11718879C2211yescharacteristic
87#11718878C2211yescharacteristic
88#11718876C2211yescharacteristic
89#11718755C2211yescharacteristic, complemented
90#11718751C2211yescharacteristic, complemented
91#11718750C2211yescharacteristic, complemented
92#11718748C2211yescharacteristic, complemented
93#11718747C2211yescharacteristic, complemented
94#11718744C2211yescharacteristic, complemented
95#11718743C2211yescharacteristic, complemented
96#11718741C2211yescharacteristic, complemented
97#11718729C2211yescharacteristic, complemented
98#11718728C2211yescharacteristic, complemented
99#11718727C2211yescharacteristic, complemented
100#11718726C2211yescharacteristic, complemented
101#11718725C2211yescharacteristic, complemented
102#11718724C2211yescharacteristic, complemented
103#11718724C2211yescharacteristic, complemented
104#11718724C2211yescharacteristic, complemented
105#11718720C2211yescharacteristic
106#11718719C2211yescharacteristic
107#11718718C2211yescharacteristic
108#11718717C2211yescharacteristic
109#11718716C2211yescharacteristic
110#11718715C2211yescharacteristic
111#11718715C2211yescharacteristic
112#11718715C2211yescharacteristic
113#11718713C2211yescharacteristic
114#11718713C2211yescharacteristic
115#11718712C2211yescharacteristic, complemented
116#11718711C2211yescharacteristic, complemented
117#11718710C2211yescharacteristic
118#11718710C2211yescharacteristic
119#11718710C2211yescharacteristic, complemented
120#11718710C2211yescharacteristic, complemented
121#11718709C2211yescharacteristic, complemented
122#11718708C2211yescharacteristic
123#11718708C2211yescharacteristic
124#11718708C2211yescharacteristic, complemented
125#11718706C2211yescharacteristic
126#11718706C2211yescharacteristic
127#11718706C2211yescharacteristic, complemented
128#11718704C2211yescharacteristic, complemented
129#11718702C2211yescharacteristic
130#11718701C2211yescharacteristic
131#11718700C2211yescharacteristic
132#11718700C2211yescharacteristic
133#11718699C2211yescharacteristic
134#11718698C2211yescharacteristic
135#11718696C2211yescharacteristic
136#11718694C2211yescharacteristic
137#11718691C2211yescharacteristic, complemented
138#11718691C2211yescharacteristic, complemented
139C4×#6107C2211yescharacteristic, complemented
140C4×#6107C2211yescharacteristic, complemented
141C4×#6107C2211yescharacteristic, complemented
142C4×#6107C2211yescharacteristic, complemented
143C4×#6107C2211yescharacteristic, complemented
144#11718689C2211yescharacteristic, complemented
145#11718688C2211yescharacteristic, complemented
146C4×#6106C2211yescharacteristic, complemented
147C4×#6106C2211yescharacteristic, complemented
148C4×#6106C2211yescharacteristic, complemented
149C4×#6106C2211yescharacteristic, complemented
150C4×#6106C2211yescharacteristic, complemented
151#11718685C2211yescharacteristic, complemented
152#11718685C2211yescharacteristic, complemented
153#11718683C2211yescharacteristic, complemented
154#11718682C2211yescharacteristic, complemented
155#11718679C2211yescharacteristic
156#11718679C2211yescharacteristic
157#11718679C2211yescharacteristic
158#11718679C2211yescharacteristic
159C4×#6105C2211yescharacteristic
160C4×#6105C2211yescharacteristic
161C4×#6105C2211yescharacteristic
162C4×#6105C2211yescharacteristic
163C4×#6105C2211yescharacteristic
164#11718677C2211yescharacteristic
165#11718677C2211yescharacteristic
166#11718677C2211yescharacteristic
167#11718676C2211yescharacteristic
168#11718675C2211yescharacteristic
169#11718675C2211yescharacteristic
170C4×#6104C2211yescharacteristic
171C4×#6104C2211yescharacteristic
172C4×#6104C2211yescharacteristic
173C4×#6104C2211yescharacteristic
174C4×#6104C2211yescharacteristic
175#11718673C2211yescharacteristic
176#11718673C2211yescharacteristic
177#11718672C2211yescharacteristic
178#11718672C2211yescharacteristic
179#11718672C2211yescharacteristic, complemented
180#11718672C2211yescharacteristic, complemented
181#11718670C2211yescharacteristic
182#11718670C2211yescharacteristic
183#11718670C2211yescharacteristic
184#11718669C2211yescharacteristic
185#11718665C2211yescharacteristic, complemented
186#11718664C2211yescharacteristic, complemented
187#11718664C2211yescharacteristic, complemented
188#11718664C2211yescharacteristic, complemented
189#11718663C2211yescharacteristic, complemented
190#11718659C2211yescharacteristic, complemented
191#11718657C2211yescharacteristic, complemented
192#11718656C2211yescharacteristic, complemented
193#11718631C2211yescharacteristic
194#11718629C2211yescharacteristic
195#11718627C2211yescharacteristic
196#11718625C2211yescharacteristic
197#11718586C2211yescharacteristic
198#11718586C2211yescharacteristic, complemented
199#11718586C2211yescharacteristic, complemented
200C4×#6099C2211yescharacteristic
201C4×#6099C2211yescharacteristic, complemented
202C2×C4×#1055C2211yescharacteristic, complemented
203C2×C13×#41D411yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C22×D4×C13C2311yescharacteristic
207C23×C4×C13—21no—
208C2×#6127—21no—
209C2×#6127C2311yescharacteristic
210C2×#6127C2311yescharacteristic
211C22×Dic26C2311yescharacteristic
212C13×C4⋊Q8C2311yescharacteristic
213C13×C4⋊Q8C2311yescharacteristic
214C13×#126—21no—
215C13×#126—21no—
216C13×#126—21no—
217C13×#126—21no—
218C13×#126—21no—
219C13×#126—21no—
220C13×#125—21no—
221C13×#125—21no—
222C13×#125—21no—
223C13×#125C2311yescharacteristic
224C13×#125C2311yescharacteristic
225C13×#124—21no—
226C13×#124—21no—
227C13×#124C2311yescharacteristic
228C13×#124C2311yescharacteristic
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×C22⋊Q8—21no—
238C13×C22⋊Q8—21no—
239C13×C22⋊Q8—21no—
240C13×C22⋊Q8—21no—
241C13×C22⋊Q8—21no—
242C13×C22⋊Q8C2311yescharacteristic
243C13×C22⋊Q8C2311yescharacteristic
244C13×C22⋊Q8C2311yescharacteristic
245C13×C22⋊Q8C2311yescharacteristic
246C13×#121—21no—
247C13×#121—21no—
248C13×#121—21no—
249C13×#121—21no—
250C13×#121C2311yescharacteristic
251C13×#121C2311yescharacteristic
252C13×#120—21no—
253C13×#120—21no—
254C4×Q8×C13—21no—
255C4×Q8×C13D411yescharacteristic
256C4×Q8×C13C2311yescharacteristic
257C4×Q8×C13C2311yescharacteristic
258C4×Q8×C13C2311yescharacteristic
259C4×Q8×C13C2311yescharacteristic
260C4×Q8×C13C2311yescharacteristic
261C4×D4×C13—21no—
262C4×D4×C13—21no—
263C4×D4×C13—21no—
264C4×D4×C13—21no—
265C4×D4×C13—21no—
266C4×D4×C13—21no—
267C4×D4×C13—21no—
268C4×D4×C13—21no—
269C4×D4×C13D411yescharacteristic
270C4×D4×C13D411yescharacteristic
271C4×D4×C13D411yescharacteristic
272C4×D4×C13C2311yescharacteristic
273C4×D4×C13C2311yescharacteristic
274C4×D4×C13C2311yescharacteristic
275C4×D4×C13C2311yescharacteristic
276C4×D4×C13C2311yescharacteristic
277C4×D4×C13C2311yescharacteristic
278C4×D4×C13C2311yescharacteristic
279C4×D4×C13C2311yescharacteristic
280C4×D4×C13C2311yescharacteristic
281C13×#117—21no—
282C13×#117—21no—
283C13×#117—21no—
284C13×#117—21no—
285C13×#117—21no—
286C13×#117—21no—
287C13×#117—21no—
288C13×#117—21no—
289C13×#117—21no—
290C13×#117D411yescharacteristic
291C13×#117D411yescharacteristic
292C13×#117D411yescharacteristic
293C13×#117C2311yescharacteristic
294C13×#117C2311yescharacteristic
295C2×C13×C4⋊C4—21no—
296C2×C13×C4⋊C4—21no—
297C2×C13×C4⋊C4C2311yescharacteristic
298C2×C13×C22⋊C4—21no—
299C2×C13×C22⋊C4—21no—
300C2×C13×C22⋊C4—21no—
301C2×C42×C13—21no—
302C2×C42×C13—21no—
303C2×C42×C13C2311yescharacteristic
304C2×C42×C13C2311yescharacteristic
305C2×C42×C13C2311yescharacteristic
306#88205—24no—
307#88204—24no—
308#88201—21no—
309#88198—21no—
310C2×#6107C2311yescharacteristic
311C2×#6107C2311yescharacteristic
312C2×#6107C2311yescharacteristic
313C2×#6107C2311yescharacteristic
314C2×#6106C2311yescharacteristic
315C2×#6106C2311yescharacteristic
316C2×#6106C2311yescharacteristic
317C2×#6106C2311yescharacteristic
318#88194—21no—
319#88193—21no—
320#88193—21no—
321#88193—21no—
322#88193—21no—
323#88190—21no—
324C2×#6105C2311yescharacteristic
325C2×#6105C2311yescharacteristic
326C2×#6105C2311yescharacteristic
327C2×#6105C2311yescharacteristic
328#88186—24no—
329C2×#6104C2311yescharacteristic
330C2×#6104C2311yescharacteristic
331C2×#6104C2311yescharacteristic
332C2×#6104C2311yescharacteristic
333#88184—21no—
334#88184C2311yescharacteristic
335#88184C2311yescharacteristic
336#88184C2311yescharacteristic
337#88184C2311yescharacteristic
338#88183—21no—
339#88183—21no—
340C4×C22⋊D13—21no—
341C4×C22⋊D13—21no—
342C4×C22⋊D13—21no—
343C4×C22⋊D13—21no—
344C4×C22⋊D13—21no—
345C4×C22⋊D13—21no—
346#88180C2311yescharacteristic
347#88180C2311yescharacteristic
348C2×C4⋊Dic13C2311yescharacteristic
349#88178C2311yescharacteristic
350#88178C2311yescharacteristic
351C2×#6101—21no—
352C2×C4×Dic13—21no—
353C2×#6099C2311yescharacteristic
354C2×#6099C2311yescharacteristic
355C2×#6099C2311yescharacteristic
356C2×#6099C2311yescharacteristic
357C22×#1055C2311yescharacteristic
358C22×#1055C2311yescharacteristic
359#88152—21no—
360#88152—21no—
361#88150—21no—
362#88150—21no—
363#88148—21no—
364#88148—21no—
365#88147—21no—
366#88147—21no—
367#88143—21no—
368#88143—21no—
369#88141—21no—
370#88141—21no—
371#88139—21no—
372#88139—21no—
373#88138—21no—
374#88138—21no—
375#88137—21no—
376#88137—21no—
377#88135—21no—
378#88135—21no—
379#88135—21no—
380#88135—21no—
381#88133—21no—
382#88133—21no—
383#88130—21no—
384#88130—21no—
385#88129—21no—
386#88129C2311yescharacteristic
387#88129C2311yescharacteristic
388#88128C2311yescharacteristic
389C4×D52—21no—
390C4×D52C2311yescharacteristic
391C4×D52C2311yescharacteristic
392C4×D52C2311yescharacteristic
393C4×D52C2311yescharacteristic
394#88126—21no—
395#88126—21no—
396#88126—21no—
397#88126—21no—
398C42×D13—21no—
399C42×D13—21no—
400#88124C2311yescharacteristic
401#88124C2311yescharacteristic
402#88123C2311yescharacteristic
403C4×Dic26—21no—
404C4×Dic26—21no—
405C4×Dic26C2311yescharacteristic
406C4×Dic26C2311yescharacteristic
407C4×Dic26C2311yescharacteristic
408C4×Dic26C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411#88075C2311yescharacteristic
412#88075C2311yescharacteristic
413#88075C2311yescharacteristic
414#88075C2311yescharacteristic
415#88075C2311yescharacteristic
416#88075C2311yescharacteristic
417#88075C2311yescharacteristic
418#88075C2311yescharacteristic
419#88072C2311yescharacteristic
420#88072C2311yescharacteristic
421#88072C2311yescharacteristic
422#88072C2311yescharacteristic
423#88072C2311yescharacteristic
424#88072C2311yescharacteristic
425#88072C2311yescharacteristic
426#88072C2311yescharacteristic
427C22⋊#1055C2311yescharacteristic
428C22⋊#1055C2311yescharacteristic
429C22⋊#1055C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433#88050C2311yescharacteristic
434#88050C2311yescharacteristic
435#88050C2311yescharacteristic
436#88050C2311yescharacteristic
437#88050C2311yescharacteristic
438#88050C2311yescharacteristic
439#88050C2311yescharacteristic
440#88050C2311yescharacteristic
441#88049C2311yescharacteristic
442#88049C2311yescharacteristic
443#88049C2311yescharacteristic
444#88049C2311yescharacteristic
445#88049C2311yescharacteristic
446#88049C2311yescharacteristic
447#88049C2311yescharacteristic
448#88049C2311yescharacteristic
449#88048C2311yescharacteristic
450#88048C2311yescharacteristic
451#88048C2311yescharacteristic
452#88048C2311yescharacteristic
453#88048C2311yescharacteristic
454#88048C2311yescharacteristic
455#88048C2311yescharacteristic
456#88048C2311yescharacteristic
457#88047C2311yescharacteristic
458#88047C2311yescharacteristic
459#88047C2311yescharacteristic
460#88047C2311yescharacteristic
461#88047C2311yescharacteristic
462#88047C2311yescharacteristic
463#88047C2311yescharacteristic
464#88047C2311yescharacteristic
465C4⋊#1055C2311yescharacteristic
466C4⋊#1055C2311yescharacteristic
467C4⋊#1055C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471#88043C2311yescharacteristic
472#88043C2311yescharacteristic
473#88043C2311yescharacteristic
474#88043C2311yescharacteristic
475C4×#1055C2311yescharacteristic
476C4×#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478C4×#1055C2311yescharacteristic
479C4×#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481#61441—131nomaximal, Sylow
482C24×C13—21no—
483C13×#41—22no—
484C13×#41—22no—
485C13×#41—42no—
486C13×#41—41no—
487C13×#41—41no—
488C2×Q8×C13—21no—
489C2×Q8×C13C2×D411yescharacteristic
490C2×Q8×C13C2411yescharacteristic
491C2×Q8×C13C2411yescharacteristic
492C2×D4×C13—22no—
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×C13C2×D411yescharacteristic
500C2×D4×C13C2×D411yescharacteristic
501C2×D4×C13C2×D411yescharacteristic
502C2×D4×C13C2411yescharacteristic
503C2×D4×C13C2411yescharacteristic
504C22×C4×C13—21no—
505C22×C4×C13—21no—
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—44no—
514C22×C4×C13C2×D411yescharacteristic
515C22×C4×C13C2×D411yescharacteristic
516C22×C4×C13C2×D411yescharacteristic
517C22×C4×C13C2×D411yescharacteristic
518C22×C4×C13C2×D411yescharacteristic
519C22×C4×C13C2×D411yescharacteristic
520C22×C4×C13C2411yescharacteristic
521C22×C4×C13C2411yescharacteristic
522C22×C4×C13C2411yescharacteristic
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C22×Dic13—21no—
530C22×Dic13—21no—
531#6127—22no—
532#6127—22no—
533#6127—41no—
534#6127—41no—
535#6127—44no—
536C2×D52—21no—
537C2×D52—21no—
538C2×D52C2411yescharacteristic
539C2×D52C2411yescharacteristic
540C2×C4×D13—21no—
541C2×C4×D13—21no—
542C2×C4×D13—21no—
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×Dic26—22no—
547C2×Dic26—21no—
548C2×Dic26—21no—
549C2×Dic26—41no—
550C2×Dic26C2411yescharacteristic
551C2×Dic26C2411yescharacteristic
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
569C13×C4⋊C4C2×D411yescharacteristic
570C13×C4⋊C4C2×D411yescharacteristic
571C13×C4⋊C4C2×D411yescharacteristic
572C13×C4⋊C4C2×D411yescharacteristic
573C13×C4⋊C4C2×D411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C4⋊C4C2411yescharacteristic
577C13×C4⋊C4C2411yescharacteristic
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4—21no—
587C13×C22⋊C4—21no—
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
597C13×C22⋊C4C2×D411yescharacteristic
598C13×C22⋊C4C2×D411yescharacteristic
599C13×C22⋊C4C2×D411yescharacteristic
600C13×C22⋊C4C2×D411yescharacteristic
601C13×C22⋊C4C2×D411yescharacteristic
602C42×C13—21no—
603C42×C13—21no—
604C42×C13—21no—
605C42×C13—21no—
606C42×C13—21no—
607C42×C13—21no—
608C42×C13C2×D411yescharacteristic
609C42×C13C2×D411yescharacteristic
610C42×C13C2×D411yescharacteristic
611C42×C13C2×D411yescharacteristic
612C42×C13C2×D411yescharacteristic
613C42×C13C2×D411yescharacteristic
614C42×C13C2411yescharacteristic
615C42×C13C2411yescharacteristic
616C42×C13C2411yescharacteristic
617C42×C13C2411yescharacteristic
618C22⋊Dic13—21no—
619C22⋊Dic13—21no—
620C22⋊Dic13—21no—
621C22⋊Dic13—21no—
622#6107—22no—
623#6107—22no—
624#6107—22no—
625#6107—41no—
626#6106—22no—
627#6106—41no—
628#6106—41no—
629#6106—41no—
630#6105—22no—
631#6105—22no—
632#6105—41no—
633#6105#4114yescomplemented
634#6104—22no—
635#6104—22no—
636#6104—22no—
637#6104—41no—
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—
650C4⋊Dic13—21no—
651C4⋊Dic13—21no—
652C4⋊Dic13C2411yescharacteristic
653C4⋊Dic13C2411yescharacteristic
654C4⋊Dic13C2411yescharacteristic
655C4⋊Dic13C2411yescharacteristic
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101—21no—
666#6101—21no—
667#6101—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676#6099—22no—
677#6099—22no—
678#6099—41no—
679#6099—41no—
680C2×#1055—22no—
681C2×#1055—41no—
682C2×#1055C2411yescharacteristic
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688C2×#1055C2411yescharacteristic
689C2×#1055C2411yescharacteristic
690#3480—131no—
691#3475D1311yescharacteristic, complemented
692#3401—131no—
693#3388—131no—
694#3377—131no—
695#3370—131no—
696#3351—131no—
697#3349—131no—
698#3347—131no—
699#3327—131no—
700#3322—131no—
701#3321—131no—
702#3317—131no—
703#3311—131no—
704#3307—131no—
705#3275—131no—
706#3269—131no—
707#3268—131no—
708#3172—131no—
709#3171—131no—
710#3168—131no—
711#3108—131no—
712#3107—131no—
713#3106—131no—
714#3105—131no—
715#3102—131no—
716#3102—131no—
717#2965—131no—
718C4×#137—131no—
719C4×AGL(1,ℤ/8)—131no—
720C4×#135—131no—
721C23×C13—21no—
722C23×C13—21no—
723C23×C13—42no—
724C23×C13—42no—
725C23×C13—81no—
726C23×C13C22×D411yescharacteristic
727C23×C13C22×D411yescharacteristic
728C23×C13C22×D411yescharacteristic
729C22×D13—21no—
730C22×D13—21no—
731Q8×C13—21no—
732Q8×C13—21no—
733Q8×C13—21no—
734Q8×C13—21no—
735Q8×C13—41no—
736Q8×C13—81no—
737D4×C13—21no—
738D4×C13—21no—
739D4×C13—21no—
740D4×C13—41no—
741D4×C13—41no—
742D4×C13—41no—
743D4×C13—42no—
744D4×C13—42no—
745D4×C13—42no—
746D4×C13—81no—
747D4×C13—81no—
748D4×C13C2×#4112yes—
749C2×C4×C13—22no—
750C2×C4×C13—22no—
751C2×C4×C13—22no—
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—41no—
765C2×C4×C13—41no—
766C2×C4×C13—41no—
767C2×C4×C13—42no—
768C2×C4×C13—42no—
769C2×C4×C13—42no—
770C2×C4×C13—42no—
771C2×C4×C13—42no—
772C2×C4×C13—42no—
773C2×C4×C13—42no—
774C2×C4×C13—81no—
775C2×C4×C13—81no—
776C2×C4×C13C22×D411yescharacteristic
777C2×C4×C13C22×D411yescharacteristic
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—42no—
789C22⋊D13—42no—
790C22⋊D13—42no—
791C22⋊D13—42no—
792C22⋊D13—81no—
793C22⋊D13—81no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—42no—
801C2×Dic13—81no—
802D52—21no—
803D52—21no—
804D52—21no—
805D52—21no—
806D52—42no—
807D52—81no—
808C4×D13—42no—
809C4×D13—42no—
810C4×D13—42no—
811C4×D13—42no—
812C4×D13—81no—
813C4×D13—81no—
814Dic26—21no—
815Dic26—21no—
816Dic26—21no—
817Dic26—42no—
818Dic26—42no—
819Dic26C2×#4112yes—
820#1055—21no—
821#1055—21no—
822#1055—21no—
823#1055—21no—
824#1055—21no—
825#1055—21no—
826#1055—21no—
827#1055C2×#4112yes—
828C2×#137—131no—
829C2×AGL(1,ℤ/8)—131no—
830C2×#135—131no—
831#559—131no—
832#559—261no—
833#557—131no—
834#556—131no—
835#556—261no—
836#556C2×D1311yescharacteristic
837#555C2×D1311yescharacteristic
838#554C2×D1311yescharacteristic
839#553—21no—
840#553—131no—
841#553—131no—
842#553—261no—
843#553—261no—
844#552—21no—
845#552C2×D1311yescharacteristic
846#552C2×D1311yescharacteristic
847#551—21no—
848#551—21no—
849#550—131no—
850#548—131no—
851#548—131no—
852#547C2×D1311yescharacteristic
853#546C2×D1311yescharacteristic
854#546C2×D1311yescharacteristic
855#533C2×D1311yescharacteristic
856#532—131no—
857#532—261no—
858#529—21no—
859#529—21no—
860#529—131no—
861#529—131no—
862#529—261no—
863#529—261no—
864#529C2×D1311yescharacteristic
865#529C2×D1311yescharacteristic
866#525—21no—
867C4×#41—131no—
868C4×#41—131no—
869C4×#41—261no—
870C4×#41C2×D1311yescharacteristic
871C4×#41C2×D1311yescharacteristic
872C4×#41C2×D1311yescharacteristic
873C2×C4×Q8—131no—
874C2×C4×D4C2×D1311yescharacteristic
875C2×#117—21no—
876#501—131no—
877#501—131no—
878#499—131no—
879#497—131no—
880#496—131no—
881#495—131no—
882#491—131no—
883#490—131no—
884#489—131no—
885#489—131no—
886#488—131no—
887#488—131no—
888#485—131no—
889#485—131no—
890#485—131no—
891#485—131no—
892#484—131no—
893#483—131no—
894#482—131no—
895#482—131no—
896#482—131no—
897#482—131no—
898#481—131no—
899#480—131no—
900#479—131no—
901#479—131no—
902#479—131no—
903#479—131no—
904#478—131no—
905#478—131no—
906#478—131no—
907#478—131no—
908#477—131no—
909#476—131no—
910#475—131no—
911#474—131no—
912#470—131no—
913#470—131no—
914#469—131no—
915#469—131no—
916#468—131no—
917#468—131no—
918#468—131no—
919#468—131no—
920#467—131no—
921#466—131no—
922#465—131no—
923#465—131no—
924#464—131no—
925#464—131no—
926#464—131no—
927#464—131no—
928#463—131no—
929#463—131no—
930#463—131no—
931#463—131no—
932#462—131no—
933#461—131no—
934#460—131no—
935#459—131no—
936#452—131no—
937#452—131no—
938#452—131no—
939#452—131no—
940#451—131no—
941#450—131no—
942#449—131no—
943#449—131no—
944#449—131no—
945#449—131no—
946#448—131no—
947#447—131no—
948#446—131no—
949#446—131no—
950#442—131no—
951#442—131no—
952#441—131no—
953#441—131no—
954#440—131no—
955#440—131no—
956#440—131no—
957#440—131no—
958C4×Q16—131no—
959C4×Q16—131no—
960C4×Q16—131no—
961C4×Q16—131no—
962C4×Q16—131no—
963C4×SD16—131no—
964C4×SD16—131no—
965C4×SD16—131no—
966C4×SD16—131no—
967C4×SD16—131no—
968C4×SD16—131no—
969C4×SD16—131no—
970C4×SD16—131no—
971C4×SD16—131no—
972C4×SD16—131no—
973C4×D8—131no—
974C4×D8—131no—
975C4×D8—131no—
976C4×D8—131no—
977C4×D8—131no—
978#436—131no—
979#436—131no—
980#435—131no—
981#435—131no—
982#435—131no—
983#435—131no—
984#431—131no—
985#431—131no—
986#431—131no—
987#428—131no—
988#428—131no—
989#427—131no—
990#419—131no—
991#418—131no—
992#417—131no—
993#417—131no—
994#416—131no—
995#416—131no—
996C4×M16—131no—
997C4×M16—131no—
998C2×C4×C8—131no—
999C22×C13—21no—
1000C22×C13—21no—
1001C22×C13—21no—
1002C22×C13—21no—
1003C22×C13—21no—
1004C22×C13—21no—
1005C22×C13—22no—
1006C22×C13—21no—
1007C22×C13—21no—
1008C22×C13—21no—
1009C22×C13—41no—
1010C22×C13—41no—
1011C22×C13—41no—
1012C22×C13—41no—
1013C22×C13—41no—
1014C22×C13—84no—
1015C22×C13C23×D411yescharacteristic
1016C2×D13—41no—
1017C2×D13—41no—
1018C2×D13—41no—
1019C2×D13—41no—
1020C2×D13—41no—
1021C2×D13—41no—
1022C4×C13—21no—
1023C4×C13—21no—
1024C4×C13—21no—
1025C4×C13—21no—
1026C4×C13—21no—
1027C4×C13—21no—
1028C4×C13—21no—
1029C4×C13—21no—
1030C4×C13—21no—
1031C4×C13—21no—
1032C4×C13—41no—
1033C4×C13—41no—
1034C4×C13—41no—
1035C4×C13—41no—
1036C4×C13—41no—
1037C4×C13—41no—
1038C4×C13#57512yes—
1039C4×C13C22×#4111yescharacteristic
1040C4×C13#58511yescharacteristic
1041Dic13—22no—
1042Dic13—41no—
1043Dic13—41no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047C2×#41—131no—
1048C2×#41—131no—
1049C2×#41—261no—
1050C2×#41C22⋊D1311yescharacteristic
1051C2×#41C22×D1311yescharacteristic
1052C2×#41C22×D1311yescharacteristic
1053C22×Q8—131no—
1054C22×D4C22×D1311yescharacteristic
1055C23×C4—21no—
1056#137—264no—
1057AGL(1,ℤ/8)—264no—
1058#135—264no—
1059C2×Q16—131no—
1060C2×Q16—131no—
1061C2×Q16—131no—
1062C2×Q16—131no—
1063C2×SD16—131no—
1064C2×SD16—131no—
1065C2×SD16—131no—
1066C2×SD16—131no—
1067C2×SD16—131no—
1068C2×SD16—131no—
1069C2×SD16—131no—
1070C2×SD16—131no—
1071C2×D8—131no—
1072C2×D8—131no—
1073C2×D8—131no—
1074C2×D8—131no—
1075C2×M16—131no—
1076C2×M16—131no—
1077C2×M16—131no—
1078C2×M16—131no—
1079C22×C8—131no—
1080C22×C8—131no—
1081C4⋊Q8—131no—
1082C4⋊Q8—261no—
1083C4⋊Q8C22×D1311yescharacteristic
1084C4⋊Q8C22×D1311yescharacteristic
1085#127—131no—
1086#127—261no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—261no—
1094#126—261no—
1095#126—261no—
1096#126—261no—
1097#126—261no—
1098#126—261no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—131no—
1103#125—131no—
1104#125—261no—
1105#125—261no—
1106#125C22×D1311yescharacteristic
1107#125C22×D1311yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—131no—
1111#124—131no—
1112#124—261no—
1113#124—261no—
1114#124—261no—
1115#124—261no—
1116#124—261no—
1117#124C22×D1311yescharacteristic
1118#124C22×D1311yescharacteristic
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—261no—
1128#123—261no—
1129#123—261no—
1130#123—261no—
1131#123—261no—
1132#123—261no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—131no—
1139C22⋊Q8—131no—
1140C22⋊Q8—261no—
1141C22⋊Q8—261no—
1142C22⋊Q8C22×D1311yescharacteristic
1143C22⋊Q8C22×D1311yescharacteristic
1144C22⋊Q8C22×D1311yescharacteristic
1145C22⋊Q8C22×D1311yescharacteristic
1146#121—21no—
1147#121—21no—
1148#121—21no—
1149#121—21no—
1150#121—131no—
1151#121—131no—
1152#121—131no—
1153#121—131no—
1154#121—261no—
1155#121—261no—
1156#121—261no—
1157#121—261no—
1158#121—261no—
1159#121—261no—
1160#121—261no—
1161#121C22×D1311yescharacteristic
1162#121C22×D1311yescharacteristic
1163#120—21no—
1164#120—21no—
1165C4×Q8—21no—
1166C4×Q8—131no—
1167C4×Q8—131no—
1168C4×Q8—131no—
1169C4×Q8—131no—
1170C4×Q8—131no—
1171C4×Q8—131no—
1172C4×Q8—261no—
1173C4×Q8—261no—
1174C4×Q8—261no—
1175C4×Q8—261no—
1176C4×Q8C22⋊D1311yescharacteristic
1177C4×Q8C22×D1311yescharacteristic
1178C4×Q8C22×D1311yescharacteristic
1179C4×Q8C22×D1311yescharacteristic
1180C4×Q8C22×D1311yescharacteristic
1181C4×Q8C22×D1311yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—131no—
1191C4×D4—131no—
1192C4×D4—131no—
1193C4×D4—131no—
1194C4×D4—261no—
1195C4×D4—261no—
1196C4×D4—261no—
1197C4×D4—261no—
1198C4×D4—261no—
1199C4×D4—261no—
1200C4×D4—261no—
1201C4×D4—261no—
1202C4×D4—261no—
1203C4×D4—261no—
1204C4×D4—261no—
1205C4×D4—261no—
1206C4×D4—261no—
1207C4×D4C22⋊D1311yescharacteristic
1208C4×D4C22⋊D1311yescharacteristic
1209C4×D4C22⋊D1311yescharacteristic
1210C4×D4C22×D1311yescharacteristic
1211C4×D4C22×D1311yescharacteristic
1212C4×D4C22×D1311yescharacteristic
1213C4×D4C22×D1311yescharacteristic
1214C4×D4C22×D1311yescharacteristic
1215C4×D4C22×D1311yescharacteristic
1216C4×D4C22×D1311yescharacteristic
1217C4×D4C22×D1311yescharacteristic
1218C4×D4C22×D1311yescharacteristic
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—131no—
1229#117—131no—
1230#117—261no—
1231#117—261no—
1232#117—261no—
1233#117—261no—
1234#117C22⋊D1311yescharacteristic
1235#117C22⋊D1311yescharacteristic
1236#117C22⋊D1311yescharacteristic
1237#117C22×D1311yescharacteristic
1238#117C22×D1311yescharacteristic
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—131no—
1242C2×C4⋊C4—261no—
1243C2×C4⋊C4C22×D1311yescharacteristic
1244C2×C22⋊C4—21no—
1245C2×C22⋊C4—21no—
1246C2×C22⋊C4—21no—
1247C2×C42—21no—
1248C2×C42—21no—
1249C2×C42—261no—
1250C2×C42—261no—
1251C2×C42—261no—
1252C2×C42C22×D1311yescharacteristic
1253C2×C42C22×D1311yescharacteristic
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#106—131no—
1264#106—131no—
1265#106—131no—
1266#106—131no—
1267#106—131no—
1268#106—131no—
1269#106—131no—
1270#106—131no—
1271C4⋊C8—131no—
1272C4⋊C8—131no—
1273C4⋊C8—131no—
1274C4⋊C8—131no—
1275C4⋊C8—131no—
1276C4⋊C8—131no—
1277#103—131no—
1278#103—131no—
1279#103—131no—
1280#103—131no—
1281#103—131no—
1282#103—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—
1309C22⋊C8—131no—
1310C22⋊C8—131no—
1311C22⋊C8—131no—
1312C22⋊C8—131no—
1313C22⋊C8—131no—
1314C22⋊C8—131no—
1315#97—131no—
1316#97—131no—
1317#97—131no—
1318#97—131no—
1319C4×C8—131no—
1320C4×C8—131no—
1321C4×C8—131no—
1322C4×C8—131no—
1323C4×C8—131no—
1324C4×C8—131no—
1325C2×C13—41no—
1326C2×C13—41no—
1327C2×C13—41no—
1328C2×C13—42no—
1329C2×C13—81no—
1330C2×C13D4×#4111yescharacteristic
1331C2×C13C2×#57511yescharacteristic
1332C2×C13#358411yescharacteristic
1333D13—81no—
1334D13—81no—
1335C24—21no—
1336#41—22no—
1337#41—22no—
1338#41—42no—
1339#41—41no—
1340#41—41no—
1341#41—262no—
1342#41—262no—
1343#41—521no—
1344#41—521no—
1345#41—524no—
1346C2×Q8—21no—
1347C2×Q8—131no—
1348C2×Q8—131no—
1349C2×Q8—262no—
1350C2×Q8—261no—
1351C2×Q8—261no—
1352C2×Q8—521no—
1353C2×Q8C2×C22⋊D1311yescharacteristic
1354C2×Q8C23×D1311yescharacteristic
1355C2×Q8C23×D1311yescharacteristic
1356C2×D4—22no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—41no—
1363C2×D4—131no—
1364C2×D4—131no—
1365C2×D4—261no—
1366C2×D4—261no—
1367C2×D4—261no—
1368C2×D4—261no—
1369C2×D4—261no—
1370C2×D4—261no—
1371C2×D4—261no—
1372C2×D4—261no—
1373C2×D4C2×C22⋊D1311yescharacteristic
1374C2×D4C2×C22⋊D1311yescharacteristic
1375C2×D4C2×C22⋊D1311yescharacteristic
1376C2×D4C23×D1311yescharacteristic
1377C2×D4C23×D1311yescharacteristic
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—44no—
1388C22×C4—261no—
1389C22×C4—261no—
1390C22×C4—261no—
1391C22×C4—261no—
1392C22×C4—261no—
1393C22×C4—261no—
1394C22×C4—261no—
1395C22×C4—261no—
1396C22×C4C2×C22⋊D1311yescharacteristic
1397C22×C4C2×C22⋊D1311yescharacteristic
1398C22×C4C2×C22⋊D1311yescharacteristic
1399C22×C4C2×C22⋊D1311yescharacteristic
1400C22×C4C2×C22⋊D1311yescharacteristic
1401C22×C4C2×C22⋊D1311yescharacteristic
1402C22×C4C23×D1311yescharacteristic
1403C22×C4C23×D1311yescharacteristic
1404C22×C4C23×D1311yescharacteristic
1405Q16—262no—
1406Q16—262no—
1407Q16—262no—
1408Q16—521no—
1409SD16—134no—
1410SD16—262no—
1411SD16—262no—
1412SD16—262no—
1413SD16—521no—
1414SD16—521no—
1415SD16—521no—
1416SD16—521no—
1417D8—262no—
1418D8—262no—
1419D8—262no—
1420D8—521no—
1421M16—262no—
1422M16—262no—
1423M16—521no—
1424M16—521no—
1425C2×C8—131no—
1426C2×C8—131no—
1427C2×C8—131no—
1428C2×C8—131no—
1429C2×C8—131no—
1430C2×C8—131no—
1431C2×C8—131no—
1432C2×C8—131no—
1433C2×C8—262no—
1434C2×C8—521no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—131no—
1452C4⋊C4—131no—
1453C4⋊C4—131no—
1454C4⋊C4—131no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4—261no—
1466C4⋊C4—261no—
1467C4⋊C4—261no—
1468C4⋊C4—261no—
1469C4⋊C4C2×C22⋊D1311yescharacteristic
1470C4⋊C4C2×C22⋊D1311yescharacteristic
1471C4⋊C4C2×C22⋊D1311yescharacteristic
1472C4⋊C4C2×C22⋊D1311yescharacteristic
1473C4⋊C4C2×C22⋊D1311yescharacteristic
1474C4⋊C4C2×C22⋊D1311yescharacteristic
1475C4⋊C4C23×D1311yescharacteristic
1476C4⋊C4C23×D1311yescharacteristic
1477C4⋊C4C23×D1311yescharacteristic
1478C4⋊C4C23×D1311yescharacteristic
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—261no—
1498C22⋊C4—261no—
1499C22⋊C4—261no—
1500C22⋊C4—261no—
1501C22⋊C4—261no—
1502C22⋊C4—261no—
1503C22⋊C4—261no—
1504C22⋊C4—261no—
1505C22⋊C4—261no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4C2×C22⋊D1311yescharacteristic
1514C22⋊C4C2×C22⋊D1311yescharacteristic
1515C22⋊C4C2×C22⋊D1311yescharacteristic
1516C22⋊C4C2×C22⋊D1311yescharacteristic
1517C22⋊C4C2×C22⋊D1311yescharacteristic
1518C22⋊C4C2×C22⋊D1311yescharacteristic
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—261no—
1526C42—261no—
1527C42—261no—
1528C42—261no—
1529C42—261no—
1530C42—261no—
1531C42—261no—
1532C42—261no—
1533C42C2×C22⋊D1311yescharacteristic
1534C42C2×C22⋊D1311yescharacteristic
1535C42C2×C22⋊D1311yescharacteristic
1536C42C2×C22⋊D1311yescharacteristic
1537C42C2×C22⋊D1311yescharacteristic
1538C42C2×C22⋊D1311yescharacteristic
1539C42C23×D1311yescharacteristic
1540C42C23×D1311yescharacteristic
1541C42C23×D1311yescharacteristic
1542C42C23×D1311yescharacteristic
1543C13#6144111yescharacteristic, complemented, Sylow
1544C23—21no—
1545C23—21no—
1546C23—42no—
1547C23—42no—
1548C23—81no—
1549C23—261no—
1550C23—261no—
1551C23C22×C22⋊D1311yescharacteristic
1552C23C22×C22⋊D1311yescharacteristic
1553C23C22×C22⋊D1311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—41no—
1559Q8—81no—
1560Q8—132no—
1561Q8—261no—
1562Q8—261no—
1563Q8—261no—
1564Q8—522no—
1565Q8—522no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
1575D4—81no—
1576D4—81no—
1577D4—261no—
1578D4—261no—
1579D4—261no—
1580D4—261no—
1581D4—522no—
1582D4—522no—
1583D4—522no—
1584D4—522no—
1585D4—522no—
1586D4—1041no—
1587D4—1041no—
1588D4—1041no—
1589D4#41×D1312yes—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—522no—
1624C2×C4—522no—
1625C2×C4—522no—
1626C2×C4—522no—
1627C2×C4—522no—
1628C2×C4—1041no—
1629C2×C4—1041no—
1630C2×C4—1041no—
1631C2×C4C22×C22⋊D1311yescharacteristic
1632C2×C4C22×C22⋊D1311yescharacteristic
1633C2×C4C22×C22⋊D1311yescharacteristic
1634C2×C4C22×C22⋊D1311yescharacteristic
1635C2×C4C22×C22⋊D1311yescharacteristic
1636C2×C4C22×C22⋊D1311yescharacteristic
1637C2×C4C22×C22⋊D1311yescharacteristic
1638C2×C4C22×C22⋊D1311yescharacteristic
1639C2×C4C22×C22⋊D1311yescharacteristic
1640C2×C4C22×C22⋊D1311yescharacteristic
1641C2×C4C22×C22⋊D1311yescharacteristic
1642C2×C4C24×D1311yescharacteristic
1643C8—132no—
1644C8—261no—
1645C8—261no—
1646C8—261no—
1647C8—261no—
1648C8—261no—
1649C8—261no—
1650C8—261no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—22no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—84no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22C23×C22⋊D1311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—262no—
1691C4—521no—
1692C4—521no—
1693C4—521no—
1694C4—521no—
1695C4—521no—
1696C4#1171952712yes—
1697C4C2×#41×D1311yescharacteristic
1698C4#1171964811yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—1041no—
1705C2—1041no—
1706C2#41×C22⋊D1311yescharacteristic
1707C2C2×#1171952711yescharacteristic
1708C2#1312960711yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3475C2
socleC22×C13C23×D4
hypercenter#3475D13
hypocenterC13#61441
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #13128429C2semidirect
2. #13127902C2semidirect
3. #13127781C2semidirect
4. #13127672C2semidirect
5. #13127589C2semidirect
6. #13127396C2semidirect
7. #13127366C2semidirect
8. #13127336C2semidirect
9. #13127098C2semidirect
10. #13127037C2semidirect
11. #13127016C2semidirect
12. #13126956C2semidirect
13. #13126872C2semidirect
14. #13126812C2semidirect
15. #13126463C2semidirect
16. #13126387C2semidirect
17. #13126372C2semidirect
18. #13125436C2semidirect
19. #13125432C2semidirect
20. #13125400C2semidirect
21. #13124912C2semidirect
22. #13124901C2semidirect
23. #13124896C2semidirect
24. #13124883C2semidirect
25. #13124854C2semidirect
26. #13124848C2semidirect
27. #13123803C2semidirect
28. C4×#88205C2semidirect
29. C4×#88186C2semidirect
30. C4×#88204C2semidirect
31. C13×#3475C2semidirect
59. #11719290C22semidirect
61. #11719272C22semidirect
63. #11719270C22semidirect
67. #11719257C22semidirect
75. #11719184C22semidirect
76. #11719182C22semidirect
78. C4×#6127C22semidirect
79. C2×C4×Dic26C22semidirect
89. #11718755C22semidirect
90. #11718751C22semidirect
91. #11718750C22semidirect
92. #11718748C22semidirect
93. #11718747C22semidirect
94. #11718744C22semidirect
95. #11718743C22semidirect
96. #11718741C22semidirect
97. #11718729C22semidirect
98. #11718728C22semidirect
99. #11718727C22semidirect
100. #11718726C22semidirect
101. #11718725C22semidirect
102. #11718724C22semidirect
103. #11718724C22semidirect
104. #11718724C22semidirect
115. #11718712C22semidirect
116. #11718711C22semidirect
119. #11718710C22semidirect
120. #11718710C22semidirect
121. #11718709C22semidirect
124. #11718708C22semidirect
127. #11718706C22semidirect
128. #11718704C22semidirect
137. #11718691C22semidirect
138. #11718691C22semidirect
139. C4×#6107C22semidirect
140. C4×#6107C22semidirect
141. C4×#6107C22semidirect
142. C4×#6107C22semidirect
143. C4×#6107C22semidirect
144. #11718689C22semidirect
145. #11718688C22semidirect
146. C4×#6106C22semidirect
147. C4×#6106C22semidirect
148. C4×#6106C22semidirect
149. C4×#6106C22semidirect
150. C4×#6106C22semidirect
151. #11718685C22semidirect
152. #11718685C22semidirect
153. #11718683C22semidirect
154. #11718682C22semidirect
179. #11718672C22semidirect
180. #11718672C22semidirect
185. #11718665C22semidirect
186. #11718664C22semidirect
187. #11718664C22semidirect
188. #11718664C22semidirect
189. #11718663C22semidirect
190. #11718659C22semidirect
191. #11718657C22semidirect
192. #11718656C22semidirect
198. #11718586C22semidirect
199. #11718586C22semidirect
201. C4×#6099C22semidirect
202. C2×C4×#1055C22semidirect
633. #6105#41semidirect
691. #3475D13semidirect
1543. C13#61441semidirect

Maximal subgroups

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

subgroupindex
#131284292
#131279022
#131277812
#131276722
#131275892
#131273962
#131273662
#131273362
#131270982
#131270372
#131270162
#131269562
#131268722
#131268122
#131264632
#131263872
#131263722
#131254362
#131254322
#131254002
#131249122
#131249012
#131248962
#131248832
#131248542
#131248482
#131238032
C4×#882052
C4×#881862
C4×#882042
C13×#34752
#6144113