Finite Group Databasebeta

← #16744920

Subgroups — #16744920

Order 3328.

1920 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128447C211yesmaximal, characteristic, complemented
2#13128387C211yesmaximal, characteristic, complemented
3#13127905C211yesmaximal, characteristic, complemented
4#13127789C211yesmaximal, characteristic, complemented
5#13127662C211yesmaximal, characteristic, complemented
6#13127590C211yesmaximal, characteristic, complemented
7#13127339C211yesmaximal, characteristic, complemented
8#13127285C211yesmaximal, characteristic, complemented
9#13127213C211yesmaximal, characteristic, complemented
10#13126987C211yesmaximal, characteristic, complemented
11#13126859C211yesmaximal, characteristic, complemented
12#13126813C211yesmaximal, characteristic, complemented
13#13126682C211yesmaximal, characteristic, complemented
14#13126677C211yesmaximal, characteristic, complemented
15#13126514C211yesmaximal, characteristic, complemented
16#13126364C211yesmaximal, characteristic, complemented
17#13126317C211yesmaximal, characteristic, complemented
18#13125558C211yesmaximal, characteristic, complemented
19#13125540C211yesmaximal, characteristic, complemented
20#13125537C211yesmaximal, characteristic, complemented
21#13124989C211yesmaximal, characteristic, complemented
22#13124975C211yesmaximal, characteristic, complemented
23#13124971C211yesmaximal, characteristic, complemented
24#13124946C211yesmaximal, characteristic, complemented
25#13124944C211yesmaximal, characteristic, complemented
26#13124932C211yesmaximal, characteristic, complemented
27#13123846C211yesmaximal, characteristic, complemented
28#13123649C211yesmaximal, characteristic, complemented
29#13123631C211yesmaximal, characteristic, complemented
30C2×#11718446C211yesmaximal, characteristic, complemented
31C13×#3314C211yesmaximal, characteristic, complemented
32C13×#554C2211yescharacteristic
33C13×#546C2211yescharacteristic
34#41×Dic13C2211yescharacteristic, complemented
35#11719529C2211yescharacteristic, complemented
36C2×#88203C2211yescharacteristic
37#11719511C2211yescharacteristic, complemented
38C2×D4×Dic13C2211yescharacteristic, complemented
39C22×#6104C2211yescharacteristic
40C2×#88170C2211yescharacteristic
41#11719435C2211yescharacteristic, complemented
42#11719430C2211yescharacteristic, complemented
43#11719400—21no—
44#11719396—21no—
45#11719385C2211yescharacteristic, complemented
46#11719376C2211yescharacteristic, complemented
47#11719355—21no—
48#11719354—21no—
49#11719347C2211yescharacteristic, complemented
50#11719342—21no—
51#11719342—21no—
52#11719335C2211yescharacteristic
53#11719335C2211yescharacteristic, complemented
54#11719332—21no—
55#11719332—21no—
56#11719329C2211yescharacteristic
57#11719329C2211yescharacteristic, complemented
58#11719327C2211yescharacteristic, complemented
59#11719321C2211yescharacteristic, complemented
60#11719306—21no—
61#11719305—21no—
62#11719305C2211yescharacteristic, complemented
63#11719292—21no—
64#11719291—21no—
65#11719290C2211yescharacteristic, complemented
66C4×#6131C2211yescharacteristic, complemented
67#11719259—21no—
68D4×D52C2211yescharacteristic
69C4×D4×D13—21no—
70#11719246C2211yescharacteristic
71#11719244C2211yescharacteristic, complemented
72C4×#6129C2211yescharacteristic
73C4×#6129C2211yescharacteristic, complemented
74#11719219C2211yescharacteristic
75#11719219C2211yescharacteristic, complemented
76C2×#88147C2211yescharacteristic
77C2×#88147C2211yescharacteristic, complemented
78#11719200—21no—
79C2×#88131—21no—
80C13×#489C2211yescharacteristic, complemented
81C13×#484C2211yescharacteristic, complemented
82C13×#480C2211yescharacteristic, complemented
83C13×#474C2211yescharacteristic, complemented
84C13×#468C2211yescharacteristic, complemented
85C13×#467C2211yescharacteristic, complemented
86C13×#464C2211yescharacteristic, complemented
87C13×#452C2211yescharacteristic, complemented
88C13×#450C2211yescharacteristic, complemented
89C13×#440C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic
91C13×#417C2211yescharacteristic, complemented
92C2×C13×#102C2211yescharacteristic, complemented
93#11718899C2211yescharacteristic
94#11718878C2211yescharacteristic
95#11718851C2211yescharacteristic, complemented
96#11718848C2211yescharacteristic, complemented
97#11718846C2211yescharacteristic, complemented
98#11718845C2211yescharacteristic, complemented
99#11718833C2211yescharacteristic
100#11718829C2211yescharacteristic, complemented
101#11718826C2211yescharacteristic, complemented
102#11718826C2211yescharacteristic, complemented
103#11718826C2211yescharacteristic, complemented
104#11718825C2211yescharacteristic, complemented
105#11718825C2211yescharacteristic, complemented
106#11718795C2211yescharacteristic, complemented
107#11718792C2211yescharacteristic, complemented
108#11718788C2211yescharacteristic, complemented
109M16×Dic13C2211yescharacteristic, complemented
110#11718775C2211yescharacteristic
111C2×#88061C2211yescharacteristic
112C8×C22⋊D13C2211yescharacteristic, complemented
113C2×#88055C2211yescharacteristic, complemented
114#11718755C2211yescharacteristic, complemented
115#11718741C2211yescharacteristic, complemented
116#11718719C2211yescharacteristic
117#11718718C2211yescharacteristic
118#11718713C2211yescharacteristic, complemented
119#11718712C2211yescharacteristic, complemented
120#11718709C2211yescharacteristic
121#11718707C2211yescharacteristic
122#11718706C2211yescharacteristic, complemented
123#11718704C2211yescharacteristic, complemented
124#11718700C2211yescharacteristic
125#11718697C2211yescharacteristic
126#11718691C2211yescharacteristic, complemented
127#11718683C2211yescharacteristic, complemented
128#11718676C2211yescharacteristic
129#11718675C2211yescharacteristic
130#11718672C2211yescharacteristic
131#11718632C2211yescharacteristic, complemented
132#11718631C2211yescharacteristic, complemented
133#11718625C2211yescharacteristic, complemented
134C2×#88048C2211yescharacteristic, complemented
135#11718552C2211yescharacteristic, complemented
136#11718552C2211yescharacteristic, complemented
137#11718551C2211yescharacteristic, complemented
138#11718551C2211yescharacteristic, complemented
139#11718550C2211yescharacteristic, complemented
140#11718550C2211yescharacteristic, complemented
141#11718550C2211yescharacteristic, complemented
142#11718546C2211yescharacteristic, complemented
143#11718546C2211yescharacteristic, complemented
144#11718541C2211yescharacteristic, complemented
145#11718539C2211yescharacteristic, complemented
146#11718537C2211yescharacteristic, complemented
147#11718509C2211yescharacteristic, complemented
148#11718508C2211yescharacteristic, complemented
149#11718496C2211yescharacteristic, complemented
150#11718489C2211yescharacteristic, complemented
151#11718479C2211yescharacteristic, complemented
152#11718479C2211yescharacteristic, complemented
153#11718478C2211yescharacteristic, complemented
154#11718478C2211yescharacteristic, complemented
155#11718478C2211yescharacteristic, complemented
156#11718475C2211yescharacteristic, complemented
157#11718468C2211yescharacteristic, complemented
158#11718468C2211yescharacteristic, complemented
159#11718465C2211yescharacteristic, complemented
160#11718461C2211yescharacteristic, complemented
161#11718458C2211yescharacteristic, complemented
162#11718457C2211yescharacteristic, complemented
163#11718456C2211yescharacteristic, complemented
164#11718450C2211yescharacteristic, complemented
165#11718449C2211yescharacteristic, complemented
166#11718449C2211yescharacteristic, complemented
167#11718448C2211yescharacteristic
168#11718448C2211yescharacteristic, complemented
169#11718446C2211yescharacteristic
170#11718446C2211yescharacteristic
171#11718446C2211yescharacteristic
172#11718446C2211yescharacteristic
173#11718446C2211yescharacteristic, complemented
174#11718446C2211yescharacteristic, complemented
175#11718446C2211yescharacteristic, complemented
176#11718446C2211yescharacteristic, complemented
177#11718446C2211yescharacteristic, complemented
178#11718446C2211yescharacteristic, complemented
179#11718442C2211yescharacteristic, complemented
180#11718442C2211yescharacteristic, complemented
181#11718440C2211yescharacteristic, complemented
182#11718436C2211yescharacteristic, complemented
183#11718436C2211yescharacteristic, complemented
184#11718433C2211yescharacteristic, complemented
185#11718429C2211yescharacteristic, complemented
186#11718427C2211yescharacteristic, complemented
187#11718427C2211yescharacteristic, complemented
188#11718424C2211yescharacteristic, complemented
189#11718417C2211yescharacteristic
190#11718417C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718397C2211yescharacteristic
193#11718392C2211yescharacteristic
194#11718392C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718386C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718374C2211yescharacteristic, complemented
200#11718371C2211yescharacteristic, complemented
201D13×#97C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C23×Dic13—21no—
206C2×#6131—21no—
207C2×#6131C2311yescharacteristic
208C2×#6129D411yescharacteristic
209C2×#6129C2311yescharacteristic
210C2×D4×D13—21no—
211C22×D52C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C22×C4×D13—21no—
214C22×C4×D13—21no—
215C2×C13×Q16C2311yescharacteristic
216C2×C13×SD16C2311yescharacteristic
217C2×C13×SD16C2311yescharacteristic
218C2×C13×M16C2311yescharacteristic
219C22×C8×C13C2311yescharacteristic
220C13×C4⋊Q8C2311yescharacteristic
221C13×#125—21no—
222C13×#124C2311yescharacteristic
223C13×#123—21no—
224C13×C22⋊Q8—21no—
225C13×C22⋊Q8—21no—
226C13×C22⋊Q8C2311yescharacteristic
227C13×C22⋊Q8C2311yescharacteristic
228C13×C22⋊Q8C2311yescharacteristic
229C13×#121—21no—
230C13×#121C2311yescharacteristic
231C13×#120—21no—
232C4×Q8×C13C2311yescharacteristic
233C4×D4×C13—21no—
234C4×D4×C13C2311yescharacteristic
235C4×D4×C13C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4—21no—
239#88207—21no—
240C2×C22⋊Dic13—21no—
241C2×C22⋊Dic13—21no—
242#88203—24no—
243#88201—21no—
244#88201C2311yescharacteristic
245#88201C2311yescharacteristic
246#88200—21no—
247#88200—21no—
248#88200C2311yescharacteristic
249Q8×Dic13C2311yescharacteristic
250Q8×Dic13C2311yescharacteristic
251Q8×Dic13C2311yescharacteristic
252#88198C2311yescharacteristic
253C2×#6107C2311yescharacteristic
254C2×#6106C2311yescharacteristic
255C2×#6106C2311yescharacteristic
256C2×#6106C2311yescharacteristic
257#88193—21no—
258#88193—21no—
259#88193—21no—
260#88192C2311yescharacteristic
261#88190—21no—
262#88190C2311yescharacteristic
263#88189—21no—
264#88189—21no—
265#88189—21no—
266#88189—21no—
267D4×Dic13—21no—
268D4×Dic13—21no—
269D4×Dic13—21no—
270D4×Dic13—21no—
271D4×Dic13—21no—
272D4×Dic13D411yescharacteristic
273D4×Dic13C2311yescharacteristic
274D4×Dic13C2311yescharacteristic
275D4×Dic13C2311yescharacteristic
276D4×Dic13C2311yescharacteristic
277D4×Dic13C2311yescharacteristic
278C2×#6104—24no—
279C2×#6104C2311yescharacteristic
280C2×#6104C2311yescharacteristic
281C2×#6104C2311yescharacteristic
282C2×#6104C2311yescharacteristic
283C2×#6104C2311yescharacteristic
284C2×#6104C2311yescharacteristic
285#88184—21no—
286#88184—21no—
287#88184C2311yescharacteristic
288#88184C2311yescharacteristic
289#88183—21no—
290C4×C22⋊D13—21no—
291C4×C22⋊D13—21no—
292C4×C22⋊D13—21no—
293C4×C22⋊D13C2311yescharacteristic
294C4×C22⋊D13C2311yescharacteristic
295C2×#6103—21no—
296C2×#6103—21no—
297#88180—21no—
298#88180C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300#88178—21no—
301#88178C2311yescharacteristic
302#88178C2311yescharacteristic
303C2×#6101—21no—
304C2×#6101—21no—
305C2×C4×Dic13—21no—
306C2×C4×Dic13—21no—
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×#6099C2311yescharacteristic
310C22×#1055C2311yescharacteristic
311#88170—24no—
312C2×#6095C2311yescharacteristic
313C2×#6095C2311yescharacteristic
314C2×#6095C2311yescharacteristic
315C2×C8×D13C2311yescharacteristic
316C2×C8×D13C2311yescharacteristic
317#88152—21no—
318#88152—21no—
319#88152—21no—
320#88152—21no—
321#88152—21no—
322#88151—21no—
323#88149—21no—
324#88149—21no—
325#88149—21no—
326#88149—21no—
327#88149C2311yescharacteristic
328#88149C2311yescharacteristic
329#88148—21no—
330#88148—21no—
331#88148—21no—
332#88148—21no—
333#88148—21no—
334#88148—21no—
335#88147—21no—
336#88147—21no—
337#88147—21no—
338#88147—21no—
339#88147—21no—
340#88147—21no—
341#88147C2311yescharacteristic
342#88147C2311yescharacteristic
343#88147C2311yescharacteristic
344#88147C2311yescharacteristic
345#88147C2311yescharacteristic
346#88147C2311yescharacteristic
347#88147C2311yescharacteristic
348#88146—21no—
349#88146—21no—
350#88146—21no—
351#88146D411yescharacteristic
352#88146C2311yescharacteristic
353#88146C2311yescharacteristic
354C4⋊C4×D13—21no—
355#88144—21no—
356#88144C2311yescharacteristic
357#88144C2311yescharacteristic
358#88144C2311yescharacteristic
359#88143—21no—
360#88143—21no—
361#88142C2311yescharacteristic
362#88141—21no—
363#88141D411yescharacteristic
364#88141C2311yescharacteristic
365#88140—21no—
366#88140—21no—
367#88140—21no—
368#88139—21no—
369#88137—21no—
370#88136—21no—
371#88136—21no—
372#88136—21no—
373#88136—21no—
374#88135—21no—
375#88135—21no—
376#88135—21no—
377#88135—21no—
378#88135D411yescharacteristic
379#88135D411yescharacteristic
380C22⋊C4×D13—21no—
381C22⋊C4×D13—21no—
382#88133—21no—
383#88133—21no—
384#88133—21no—
385#88133—21no—
386#88133—21no—
387#88132—21no—
388#88132—21no—
389#88132—21no—
390#88132—21no—
391#88131—21no—
392#88131—21no—
393#88131—21no—
394#88131—21no—
395#88131—21no—
396#88131—21no—
397#88131—21no—
398#88131—21no—
399#88131D411yescharacteristic
400#88131D411yescharacteristic
401#88129—21no—
402#88128C2311yescharacteristic
403C4×D52—21no—
404C4×D52—21no—
405C4×D52C2311yescharacteristic
406C42×D13—21no—
407C42×D13C2311yescharacteristic
408#88124C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#107C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#107C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#103C2311yescharacteristic
418C13×#103C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×C22⋊C8C2311yescharacteristic
426C13×C22⋊C8C2311yescharacteristic
427C13×#97C2311yescharacteristic
428#88075C2311yescharacteristic
429#88075C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88061C2311yescharacteristic
445#88060C2311yescharacteristic
446#88060C2311yescharacteristic
447#88058C2311yescharacteristic
448#88058C2311yescharacteristic
449#88057C2311yescharacteristic
450#88056C2311yescharacteristic
451#88055C2311yescharacteristic
452#88055C2311yescharacteristic
453#88055C2311yescharacteristic
454#88055C2311yescharacteristic
455#88055C2311yescharacteristic
456#88055C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459#88054C2311yescharacteristic
460#88054C2311yescharacteristic
461C8×Dic13C2311yescharacteristic
462C8×Dic13C2311yescharacteristic
463#88050C2311yescharacteristic
464#88050C2311yescharacteristic
465#88050C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88048C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480#88043C2311yescharacteristic
481#61454—131nomaximal, Sylow
482C24×C13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C13×#41—22no—
486C13×#41—41no—
487C2×Q8×C13—21no—
488C2×Q8×C13C2411yescharacteristic
489C2×Q8×C13C2411yescharacteristic
490C2×D4×C13—22no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—41no—
495C2×D4×C13C2×D411yescharacteristic
496C2×D4×C13C2411yescharacteristic
497C2×D4×C13C2411yescharacteristic
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13C2411yescharacteristic
503C22×C4×C13C2411yescharacteristic
504C2×C22⋊D13—21no—
505C2×C22⋊D13—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13C2×D411yescharacteristic
509C2×C22⋊D13C2×D411yescharacteristic
510C22×Dic13—21no—
511C22×Dic13—21no—
512C22×Dic13—21no—
513C22×Dic13—21no—
514C22×Dic13—21no—
515C22×Dic13—21no—
516C22×Dic13—21no—
517C22×Dic13—44no—
518C22×Dic13C2×D411yescharacteristic
519C22×Dic13C2×D411yescharacteristic
520C22×Dic13C2×D411yescharacteristic
521C22×Dic13C2×D411yescharacteristic
522#6131—22no—
523#6131—41no—
524#6131—82no—
525#6129—22no—
526#6129—41no—
527#6129—42no—
528D4×D13—44no—
529C2×D52—22no—
530C2×D52—22no—
531C2×D52—21no—
532C2×D52—21no—
533C2×D52—21no—
534C2×D52—21no—
535C2×D52—21no—
536C2×D52—21no—
537C2×D52—21no—
538C2×D52—41no—
539C2×D52—41no—
540C2×D52C2411yescharacteristic
541C2×D52C2411yescharacteristic
542C2×D52C2411yescharacteristic
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—21no—
548C2×C4×D13—21no—
549C2×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—21no—
552C2×C4×D13—82no—
553C2×C4×D13—82no—
554C2×C4×D13C2×D411yescharacteristic
555C2×C4×D13C2×D411yescharacteristic
556C2×C4×D13C2411yescharacteristic
557C2×Dic26—21no—
558C2×Dic26C2×D411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×Q16—41no—
561C13×SD16—22no—
562C13×SD16—41no—
563C13×M16—41no—
564C2×C8×C13—41no—
565C2×C8×C13C2411yescharacteristic
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
577C13×C4⋊C4C2411yescharacteristic
578C13×C4⋊C4C2411yescharacteristic
579C13×C4⋊C4C2411yescharacteristic
580C13×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
589C13×C22⋊C4C2×D411yescharacteristic
590C42×C13—21no—
591C42×C13C2411yescharacteristic
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13C2×D411yescharacteristic
604C22⋊Dic13C2×D411yescharacteristic
605#6107—22no—
606#6106—22no—
607#6106—22no—
608#6106—41no—
609#6104—22no—
610#6104—22no—
611#6104—22no—
612#6104—22no—
613#6104—41no—
614#6104#4114yescomplemented
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633#6103—21no—
634#6103C2×D411yescharacteristic
635#6103C2×D411yescharacteristic
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13—21no—
639C4⋊Dic13—21no—
640C4⋊Dic13—21no—
641C4⋊Dic13—21no—
642C4⋊Dic13—21no—
643C4⋊Dic13C2×D411yescharacteristic
644C4⋊Dic13C2411yescharacteristic
645C4⋊Dic13C2411yescharacteristic
646C4⋊Dic13C2411yescharacteristic
647C4⋊Dic13C2411yescharacteristic
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101C2×D411yescharacteristic
662#6101C2×D411yescharacteristic
663#6101C2×D411yescharacteristic
664#6101C2×D411yescharacteristic
665C4×Dic13—21no—
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13C2×D411yescharacteristic
674C4×Dic13C2×D411yescharacteristic
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2411yescharacteristic
680C4×Dic13C2411yescharacteristic
681C4×Dic13C2411yescharacteristic
682#6099—22no—
683C2×#1055—22no—
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688#6095—22no—
689#6095—41no—
690#6095—41no—
691C8×D13—22no—
692C8×D13—41no—
693#3481—131no—
694#3475—131no—
695#3401—131no—
696#3389—131no—
697#3376—131no—
698#3370—131no—
699#3347—131no—
700#3344—131no—
701#3337—131no—
702#3319—131no—
703#3314D1311yescharacteristic, complemented
704#3310—131no—
705#3307—131no—
706#3297—131no—
707#3296—131no—
708#3280—131no—
709#3267—131no—
710#3264—131no—
711#3183—131no—
712#3181—131no—
713#3180—131no—
714#3115—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3110—131no—
720#2970—131no—
721C4×AGL(1,ℤ/8)—131no—
722#2943—131no—
723C2×#442—131no—
724C23×C13—21no—
725C23×C13—21no—
726C23×C13—42no—
727C23×C13—42no—
728C23×C13—81no—
729C23×C13C22×D411yescharacteristic
730C23×C13C22×D411yescharacteristic
731C22×D13—21no—
732C22×D13—21no—
733C22×D13—21no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—42no—
737C22×D13—42no—
738C22×D13—81no—
739C22×D13—81no—
740C22×D13C22×D411yescharacteristic
741Q8×C13—21no—
742Q8×C13—21no—
743Q8×C13—21no—
744Q8×C13—21no—
745Q8×C13—81no—
746D4×C13—22no—
747D4×C13—21no—
748D4×C13—21no—
749D4×C13—21no—
750D4×C13—42no—
751D4×C13—42no—
752D4×C13—81no—
753D4×C13C2×#4112yes—
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—42no—
765C2×C4×C13—81no—
766C2×C4×C13—81no—
767C2×C4×C13—81no—
768C2×C4×C13C22×D411yescharacteristic
769C2×C4×C13C22×D411yescharacteristic
770C2×C4×C13C22×D411yescharacteristic
771C2×C4×C13C22×D411yescharacteristic
772C2×C4×C13C2511yescharacteristic
773C22⋊D13—22no—
774C22⋊D13—41no—
775C22⋊D13—42no—
776C22⋊D13—42no—
777C22⋊D13—42no—
778C22⋊D13—81no—
779C2×Dic13—22no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—41no—
786C2×Dic13—41no—
787C2×Dic13—41no—
788C2×Dic13—42no—
789C2×Dic13—42no—
790C2×Dic13—42no—
791C2×Dic13—42no—
792C2×Dic13—42no—
793C2×Dic13—42no—
794C2×Dic13—81no—
795C2×Dic13C22×D411yescharacteristic
796C2×Dic13C22×D411yescharacteristic
797C2×Dic13C22×D411yescharacteristic
798C2×Dic13C22×D411yescharacteristic
799C2×Dic13C22×D411yescharacteristic
800C2×Dic13C22×D411yescharacteristic
801C2×Dic13C22×D411yescharacteristic
802D52—21no—
803D52—21no—
804D52—21no—
805D52—21no—
806D52—21no—
807D52—42no—
808D52—42no—
809D52—42no—
810D52—42no—
811D52—81no—
812D52—81no—
813D52—81no—
814D52C2×#4112yes—
815C4×D13—21no—
816C4×D13—21no—
817C4×D13—41no—
818C4×D13—41no—
819C4×D13—42no—
820C4×D13—42no—
821C4×D13—42no—
822C4×D13—42no—
823C4×D13—42no—
824C4×D13—81no—
825C4×D13—81no—
826C4×D13—81no—
827C4×D13—81no—
828Dic26—21no—
829Dic26—21no—
830Dic26—41no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13—21no—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055C2×#4112yes—
840C2×AGL(1,ℤ/8)—131no—
841C2×#135—131no—
842C22×D8—131no—
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554C2×D1311yescharacteristic
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—261no—
865#546C2×D1311yescharacteristic
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41—131no—
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—261no—
887C2×#117—261no—
888#501—131no—
889#501—131no—
890#499—131no—
891#497—131no—
892#496—131no—
893#495—131no—
894#491—131no—
895#490—131no—
896#489—131no—
897#489C2×D1311yescharacteristic, complemented
898#488—131no—
899#488—131no—
900#485—131no—
901#485—131no—
902#484—131no—
903#484C2×D1311yescharacteristic, complemented
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#482—131no—
909#482—131no—
910#480—131no—
911#480C2×D1311yescharacteristic, complemented
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#475—131no—
921#474—131no—
922#474—131no—
923#474C2×D1311yescharacteristic, complemented
924#470—131no—
925#469—131no—
926#468—131no—
927#468C2×D1311yescharacteristic, complemented
928#467—131no—
929#467C2×D1311yescharacteristic, complemented
930#466—131no—
931#466—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464C2×D1311yescharacteristic, complemented
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463—131no—
944#461—131no—
945#461—131no—
946#460—131no—
947#459—131no—
948#452—131no—
949#452C2×D1311yescharacteristic, complemented
950#450—131no—
951#450—131no—
952#450—131no—
953#450C2×D1311yescharacteristic, complemented
954#449—131no—
955#449—131no—
956#449—131no—
957#449—131no—
958#447—131no—
959#447—131no—
960#446—131no—
961#446—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#442—131no—
969#442—131no—
970#442—131no—
971#442—131no—
972#442—131no—
973#441—131no—
974#441—131no—
975#441—131no—
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440C2×D1311yescharacteristic, complemented
986C4×SD16—131no—
987C4×SD16—131no—
988C4×D8—131no—
989C4×D8—131no—
990#435—131no—
991#435—131no—
992#435—131no—
993#435C2×D1311yescharacteristic
994C8×D4—131no—
995C8×D4—131no—
996#432—131no—
997#432—131no—
998#432—131no—
999#428—131no—
1000#427—131no—
1001C2×#106—131no—
1002#418—131no—
1003#417C2×D1311yescharacteristic, complemented
1004#416—131no—
1005#416—131no—
1006C2×#102—131no—
1007C2×#102C2×D1311yescharacteristic, complemented
1008C4×M16—131no—
1009C2×#97—131no—
1010C2×#97—131no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—22no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—41no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—84no—
1023C22×C13#57512yes—
1024C22×C13C23×D411yescharacteristic
1025C2×D13—21no—
1026C2×D13—21no—
1027C2×D13—22no—
1028C2×D13—21no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—84no—
1038C2×D13—84no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13C22×#4111yescharacteristic
1050C4×C13#58511yescharacteristic
1051Dic13—21no—
1052Dic13—21no—
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—21no—
1056Dic13—21no—
1057Dic13—21no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—131no—
1066C2×#41—261no—
1067C2×#41C22×D1311yescharacteristic
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—261no—
1071C22×D4C22×D1311yescharacteristic
1072C23×C4—261no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—264no—
1076#135—264no—
1077C2×Q16—131no—
1078C2×Q16C22×D1311yescharacteristic
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16C22×D1311yescharacteristic
1086C2×SD16C22×D1311yescharacteristic
1087C2×D8—131no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—131no—
1092C2×D8—131no—
1093C2×D8—264no—
1094C2×M16—131no—
1095C2×M16C22×D1311yescharacteristic
1096C22×C8—131no—
1097C22×C8—131no—
1098C22×C8—131no—
1099C22×C8C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8C22×D1311yescharacteristic
1103#127—131no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—21no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—131no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—261no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124C22×D1311yescharacteristic
1130#123—21no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8C22×D1311yescharacteristic
1160C22⋊Q8C22×D1311yescharacteristic
1161C22⋊Q8C22×D1311yescharacteristic
1162#121—21no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121C22×D1311yescharacteristic
1178#120—21no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—131no—
1191C4×Q8—261no—
1192C4×Q8C22×D1311yescharacteristic
1193C4×D4—21no—
1194C4×D4—131no—
1195C4×D4—131no—
1196C4×D4—131no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—131no—
1211C4×D4—131no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4—261no—
1231C4×D4—261no—
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—131no—
1235#117—131no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—131no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117—261no—
1251#117—261no—
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—261no—
1254C2×C4⋊C4—261no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4C22×D1311yescharacteristic
1257C2×C4⋊C4C22×D1311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—131no—
1266C2×C42—131no—
1267C2×C42—131no—
1268C2×C42—261no—
1269C2×C42—261no—
1270C2×C42—261no—
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107C22×D1311yescharacteristic
1277#107C22×D1311yescharacteristic
1278#107C22×D1311yescharacteristic
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106—131no—
1286#106—131no—
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8C22×D1311yescharacteristic
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103C22×D1311yescharacteristic
1302#103C22×D1311yescharacteristic
1303#103C22×D1311yescharacteristic
1304#103C22×D1311yescharacteristic
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102C22×D1311yescharacteristic
1320#102C22×D1311yescharacteristic
1321#102C22×D1311yescharacteristic
1322#102C22×D1311yescharacteristic
1323#102C22×D1311yescharacteristic
1324#102C22×D1311yescharacteristic
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8C22×D1311yescharacteristic
1330C22⋊C8C22×D1311yescharacteristic
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335#97—131no—
1336#97—131no—
1337#97—131no—
1338#97C22×D1311yescharacteristic
1339C4×C8—131no—
1340C4×C8—131no—
1341C2×C13—22no—
1342C2×C13—41no—
1343C2×C13—42no—
1344C2×C13—81no—
1345C2×C13D4×#4111yescharacteristic
1346C2×C13C2×#57511yescharacteristic
1347C2×C13#358511yescharacteristic
1348D13—41no—
1349D13—42no—
1350D13—81no—
1351D13—81no—
1352C24—21no—
1353C24—261no—
1354C24—261no—
1355#41—22no—
1356#41—41no—
1357#41—262no—
1358#41—262no—
1359#41—522no—
1360#41—521no—
1361#41—521no—
1362#41—1042no—
1363C2×Q8—21no—
1364C2×Q8—131no—
1365C2×Q8—131no—
1366C2×Q8—261no—
1367C2×Q8C23×D1311yescharacteristic
1368C2×Q8C23×D1311yescharacteristic
1369C2×D4—22no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—131no—
1375C2×D4—131no—
1376C2×D4—131no—
1377C2×D4—131no—
1378C2×D4—131no—
1379C2×D4—262no—
1380C2×D4—262no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—261no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—261no—
1392C2×D4—521no—
1393C2×D4—521no—
1394C2×D4—524no—
1395C2×D4D4×D1311yescharacteristic
1396C2×D4C23×D1311yescharacteristic
1397C2×D4C23×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—131no—
1403C22×C4—131no—
1404C22×C4—131no—
1405C22×C4—131no—
1406C22×C4—131no—
1407C22×C4—131no—
1408C22×C4—131no—
1409C22×C4—261no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—261no—
1425C22×C4—524no—
1426C22×C4—1042no—
1427C22×C4—1042no—
1428C22×C4C23×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—41no—
1431Q16—262no—
1432SD16—22no—
1433SD16—41no—
1434SD16—262no—
1435SD16—262no—
1436SD16—262no—
1437SD16—521no—
1438SD16—521no—
1439SD16—521no—
1440D8—134no—
1441D8—262no—
1442D8—262no—
1443D8—262no—
1444D8—262no—
1445D8—521no—
1446M16—41no—
1447M16—262no—
1448C2×C8—41no—
1449C2×C8—131no—
1450C2×C8—131no—
1451C2×C8—131no—
1452C2×C8—131no—
1453C2×C8—262no—
1454C2×C8—262no—
1455C2×C8—521no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—131no—
1472C4⋊C4—131no—
1473C4⋊C4—131no—
1474C4⋊C4—131no—
1475C4⋊C4—131no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4—261no—
1495C4⋊C4—261no—
1496C4⋊C4D4×D1311yescharacteristic
1497C4⋊C4C23×D1311yescharacteristic
1498C4⋊C4C23×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—131no—
1509C22⋊C4—131no—
1510C22⋊C4—131no—
1511C22⋊C4—131no—
1512C22⋊C4—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⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4D4×D1311yescharacteristic
1543C22⋊C4D4×D1311yescharacteristic
1544C42—21no—
1545C42—131no—
1546C42—131no—
1547C42—131no—
1548C42—131no—
1549C42—131no—
1550C42—131no—
1551C42—131no—
1552C42—131no—
1553C42—131no—
1554C42—261no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42—261no—
1560C42—261no—
1561C42—261no—
1562C42C23×D1311yescharacteristic
1563C13#6145411yescharacteristic, complemented, Sylow
1564C23—21no—
1565C23—21no—
1566C23—42no—
1567C23—42no—
1568C23—81no—
1569C23—131no—
1570C23—261no—
1571C23—261no—
1572C23—261no—
1573C23—522no—
1574C23—522no—
1575C23—522no—
1576C23—522no—
1577C23—1041no—
1578C23—1041no—
1579C23C2×D4×D1311yescharacteristic
1580C23C2×D4×D1311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—261no—
1587Q8—261no—
1588Q8—521no—
1589Q8—1041no—
1590D4—22no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—42no—
1595D4—42no—
1596D4—81no—
1597D4—132no—
1598D4—262no—
1599D4—261no—
1600D4—261no—
1601D4—261no—
1602D4—261no—
1603D4—261no—
1604D4—522no—
1605D4—522no—
1606D4—522no—
1607D4—522no—
1608D4—521no—
1609D4—522no—
1610D4—522no—
1611D4—522no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4—1041no—
1616D4#41×D1312yes—
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—21no—
1626C2×C4—21no—
1627C2×C4—42no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—131no—
1632C2×C4—131no—
1633C2×C4—131no—
1634C2×C4—131no—
1635C2×C4—131no—
1636C2×C4—131no—
1637C2×C4—131no—
1638C2×C4—262no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—521no—
1647C2×C4—521no—
1648C2×C4—522no—
1649C2×C4—522no—
1650C2×C4—522no—
1651C2×C4—522no—
1652C2×C4—522no—
1653C2×C4—521no—
1654C2×C4—521no—
1655C2×C4—521no—
1656C2×C4—522no—
1657C2×C4—522no—
1658C2×C4—522no—
1659C2×C4—522no—
1660C2×C4—522no—
1661C2×C4—522no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4—1041no—
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—132no—
1677C8—261no—
1678C8—261no—
1679C8—261no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—84no—
1692C22—261no—
1693C22—261no—
1694C22—262no—
1695C22—261no—
1696C22—521no—
1697C22—521no—
1698C22—521no—
1699C22—521no—
1700C22—521no—
1701C22—521no—
1702C22—521no—
1703C22—521no—
1704C22—1044no—
1705C22—1044no—
1706C22#1171948212yes—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—261no—
1719C4—261no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—261no—
1724C4—261no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C2×#41×D1311yescharacteristic
1731C4#1171965011yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—42no—
1735C2—81no—
1736C2—521no—
1737C2—522no—
1738C2—1041no—
1739C2—1041no—
1740C2#1312832011yescharacteristic
1741C2C2×#1171948211yescharacteristic
1742C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3314C2
socleC22×C13C23×D4
hypercenter#3314D13
hypocenterC13#61454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #13128447C2semidirect
2. #13128387C2semidirect
3. #13127905C2semidirect
4. #13127789C2semidirect
5. #13127662C2semidirect
6. #13127590C2semidirect
7. #13127339C2semidirect
8. #13127285C2semidirect
9. #13127213C2semidirect
10. #13126987C2semidirect
11. #13126859C2semidirect
12. #13126813C2semidirect
13. #13126682C2semidirect
14. #13126677C2semidirect
15. #13126514C2semidirect
16. #13126364C2semidirect
17. #13126317C2semidirect
18. #13125558C2semidirect
19. #13125540C2semidirect
20. #13125537C2semidirect
21. #13124989C2semidirect
22. #13124975C2semidirect
23. #13124971C2semidirect
24. #13124946C2semidirect
25. #13124944C2semidirect
26. #13124932C2semidirect
27. #13123846C2semidirect
28. #13123649C2semidirect
29. #13123631C2semidirect
30. C2×#11718446C2semidirect
31. C13×#3314C2semidirect
34. #41×Dic13C22semidirect
35. #11719529C22semidirect
37. #11719511C22semidirect
38. C2×D4×Dic13C22semidirect
41. #11719435C22semidirect
42. #11719430C22semidirect
45. #11719385C22semidirect
46. #11719376C22semidirect
49. #11719347C22semidirect
53. #11719335C22semidirect
57. #11719329C22semidirect
58. #11719327C22semidirect
59. #11719321C22semidirect
62. #11719305C22semidirect
65. #11719290C22semidirect
66. C4×#6131C22semidirect
71. #11719244C22semidirect
73. C4×#6129C22semidirect
75. #11719219C22semidirect
77. C2×#88147C22semidirect
80. C13×#489C22semidirect
81. C13×#484C22semidirect
82. C13×#480C22semidirect
83. C13×#474C22semidirect
84. C13×#468C22semidirect
85. C13×#467C22semidirect
86. C13×#464C22semidirect
87. C13×#452C22semidirect
88. C13×#450C22semidirect
89. C13×#440C22semidirect
91. C13×#417C22semidirect
92. C2×C13×#102C22semidirect
95. #11718851C22semidirect
96. #11718848C22semidirect
97. #11718846C22semidirect
98. #11718845C22semidirect
100. #11718829C22semidirect
101. #11718826C22semidirect
102. #11718826C22semidirect
103. #11718826C22semidirect
104. #11718825C22semidirect
105. #11718825C22semidirect
106. #11718795C22semidirect
107. #11718792C22semidirect
108. #11718788C22semidirect
109. M16×Dic13C22semidirect
112. C8×C22⋊D13C22semidirect
113. C2×#88055C22semidirect
114. #11718755C22semidirect
115. #11718741C22semidirect
118. #11718713C22semidirect
119. #11718712C22semidirect
122. #11718706C22semidirect
123. #11718704C22semidirect
126. #11718691C22semidirect
127. #11718683C22semidirect
131. #11718632C22semidirect
132. #11718631C22semidirect
133. #11718625C22semidirect
134. C2×#88048C22semidirect
135. #11718552C22semidirect
136. #11718552C22semidirect
137. #11718551C22semidirect
138. #11718551C22semidirect
139. #11718550C22semidirect
140. #11718550C22semidirect
141. #11718550C22semidirect
142. #11718546C22semidirect
143. #11718546C22semidirect
144. #11718541C22semidirect
145. #11718539C22semidirect
146. #11718537C22semidirect
147. #11718509C22semidirect
148. #11718508C22semidirect
149. #11718496C22semidirect
150. #11718489C22semidirect
151. #11718479C22semidirect
152. #11718479C22semidirect
153. #11718478C22semidirect
154. #11718478C22semidirect
155. #11718478C22semidirect
156. #11718475C22semidirect
157. #11718468C22semidirect
158. #11718468C22semidirect
159. #11718465C22semidirect
160. #11718461C22semidirect
161. #11718458C22semidirect
162. #11718457C22semidirect
163. #11718456C22semidirect
164. #11718450C22semidirect
165. #11718449C22semidirect
166. #11718449C22semidirect
168. #11718448C22semidirect
173. #11718446C22semidirect
174. #11718446C22semidirect
175. #11718446C22semidirect
176. #11718446C22semidirect
177. #11718446C22semidirect
178. #11718446C22semidirect
179. #11718442C22semidirect
180. #11718442C22semidirect
181. #11718440C22semidirect
182. #11718436C22semidirect
183. #11718436C22semidirect
184. #11718433C22semidirect
185. #11718429C22semidirect
186. #11718427C22semidirect
187. #11718427C22semidirect
188. #11718424C22semidirect
190. #11718417C22semidirect
191. #11718398C22semidirect
194. #11718392C22semidirect
195. #11718389C22semidirect
196. #11718386C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. #11718374C22semidirect
200. #11718371C22semidirect
201. D13×#97C22semidirect
202. #11718362C22semidirect
614. #6104#41semidirect
703. #3314D13semidirect
897. #489C2×D13semidirect
903. #484C2×D13semidirect
911. #480C2×D13semidirect
923. #474C2×D13semidirect
927. #468C2×D13semidirect
929. #467C2×D13semidirect
937. #464C2×D13semidirect
949. #452C2×D13semidirect
953. #450C2×D13semidirect
985. #440C2×D13semidirect
1003. #417C2×D13semidirect
1007. C2×#102C2×D13semidirect
1563. C13#61454semidirect

Maximal subgroups

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

subgroupindex
#131284472
#131283872
#131279052
#131277892
#131276622
#131275902
#131273392
#131272852
#131272132
#131269872
#131268592
#131268132
#131266822
#131266772
#131265142
#131263642
#131263172
#131255582
#131255402
#131255372
#131249892
#131249752
#131249712
#131249462
#131249442
#131249322
#131238462
#131236492
#131236312
C2×#117184462
C13×#33142
#6145413