Finite Group Databasebeta

← #16744875

Subgroups — #16744875

Order 3328.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128441C211yesmaximal, characteristic
2#13128415C211yesmaximal, characteristic, complemented
3#13127892C211yesmaximal, characteristic, complemented
4#13127741C211yesmaximal, characteristic, complemented
5#13127647C211yesmaximal, characteristic, complemented
6#13127618C211yesmaximal, characteristic, complemented
7#13127324C211yesmaximal, characteristic, complemented
8#13127315C211yesmaximal, characteristic, complemented
9#13127223C211yesmaximal, characteristic, complemented
10#13127009C211yesmaximal, characteristic, complemented
11#13127002C211yesmaximal, characteristic, complemented
12#13126918C211yesmaximal, characteristic, complemented
13#13126707C211yesmaximal, characteristic, complemented
14#13126656C211yesmaximal, characteristic, complemented
15#13126530C211yesmaximal, characteristic, complemented
16#13126344C211yesmaximal, characteristic, complemented
17#13126342C211yesmaximal, characteristic, complemented
18#13125549C211yesmaximal, characteristic, complemented
19#13125548C211yesmaximal, characteristic, complemented
20#13125540C211yesmaximal, characteristic, complemented
21#13125010C211yesmaximal, characteristic, complemented
22#13125006C211yesmaximal, characteristic, complemented
23#13124991C211yesmaximal, characteristic, complemented
24#13124955C211yesmaximal, characteristic, complemented
25#13124937C211yesmaximal, characteristic, complemented
26#13124930C211yesmaximal, characteristic, complemented
27#13123846C211yesmaximal, characteristic, complemented
28#13123660C211yesmaximal, characteristic, complemented
29C2×#11718418C211yesmaximal, characteristic, complemented
30D13×#440C211yesmaximal, characteristic, complemented
31C13×#3314C211yesmaximal, characteristic, complemented
32C13×#554C2211yescharacteristic, complemented
33C13×#546C2211yescharacteristic
34#11719534C2211yescharacteristic
35#41×Dic13C2211yescharacteristic
36C2×#88205C2211yescharacteristic
37D4×C22⋊D13C2211yescharacteristic
38C2×D4×Dic13C2211yescharacteristic
39C22×#6105C2211yescharacteristic
40C2×SD16×D13C2211yescharacteristic
41#11719433C2211yescharacteristic, complemented
42#11719427C2211yescharacteristic, complemented
43#11719393—21no—
44#11719390—21no—
45#11719386C2211yescharacteristic
46#11719385C2211yescharacteristic
47#11719363—21no—
48#11719354—21no—
49#11719341—21no—
50#11719341—21no—
51#11719340C2211yescharacteristic
52#11719337C2211yescharacteristic
53#11719337C2211yescharacteristic, complemented
54#11719329C2211yescharacteristic
55#11719327—21no—
56#11719327—21no—
57#11719327C2211yescharacteristic, complemented
58#11719327C2211yescharacteristic, complemented
59#11719319C2211yescharacteristic
60#11719311—21no—
61#11719306—21no—
62#11719301C2211yescharacteristic
63#11719296—21no—
64#11719291—21no—
65C4×Q8×D13C2211yescharacteristic, complemented
66#11719272C2211yescharacteristic, complemented
67#11719270C2211yescharacteristic
68C4×D4×D13C2211yescharacteristic
69#11719244—21no—
70#11719244C2211yescharacteristic
71D4×Dic26C2211yescharacteristic, complemented
72C4×#6129—21no—
73C4×#6129C2211yescharacteristic
74#11719216C2211yescharacteristic
75#11719216C2211yescharacteristic, complemented
76C2×#88141C2211yescharacteristic, complemented
77C2×#88141C2211yescharacteristic, complemented
78#11719200—21no—
79C2×#88135—21no—
80C13×#489C2211yescharacteristic, complemented
81C13×#484C2211yescharacteristic, complemented
82C13×#480C2211yescharacteristic, complemented
83C13×#474C2211yescharacteristic
84C13×#468C2211yescharacteristic, complemented
85C13×#467C2211yescharacteristic, complemented
86C13×#464C2211yescharacteristic, complemented
87C13×#452C2211yescharacteristic
88C13×#450C2211yescharacteristic
89C13×#440C2211yescharacteristic
90C13×#435C2211yescharacteristic, complemented
91C13×#417C2211yescharacteristic
92C2×C13×#102C2211yescharacteristic
93#11718900C2211yescharacteristic
94#11718879C2211yescharacteristic
95#11718851C2211yescharacteristic, complemented
96#11718847C2211yescharacteristic, complemented
97#11718845C2211yescharacteristic, complemented
98#11718843C2211yescharacteristic, complemented
99#11718836C2211yescharacteristic
100#11718831C2211yescharacteristic
101#11718825C2211yescharacteristic
102#11718825C2211yescharacteristic, complemented
103#11718823C2211yescharacteristic
104#11718823C2211yescharacteristic
105#11718823C2211yescharacteristic, complemented
106#11718795C2211yescharacteristic, complemented
107#11718788C2211yescharacteristic, complemented
108#11718781C2211yescharacteristic, complemented
109M16×Dic13C2211yescharacteristic, complemented
110#11718775C2211yescharacteristic
111C8×C22⋊D13C2211yescharacteristic
112C2×#88056C2211yescharacteristic, complemented
113C2×#88055C2211yescharacteristic, complemented
114#11718748C2211yescharacteristic, complemented
115#11718741C2211yescharacteristic, complemented
116#11718721C2211yescharacteristic, complemented
117#11718715C2211yescharacteristic, complemented
118#11718712C2211yescharacteristic, complemented
119#11718711C2211yescharacteristic, complemented
120#11718710C2211yescharacteristic, complemented
121#11718709C2211yescharacteristic
122#11718706C2211yescharacteristic, complemented
123#11718705C2211yescharacteristic, complemented
124#11718703C2211yescharacteristic, complemented
125#11718701C2211yescharacteristic, complemented
126#11718687C2211yescharacteristic, complemented
127#11718683C2211yescharacteristic, complemented
128#11718680C2211yescharacteristic
129#11718679C2211yescharacteristic
130#11718672C2211yescharacteristic, complemented
131#11718629C2211yescharacteristic
132#11718628C2211yescharacteristic, complemented
133#11718625C2211yescharacteristic, complemented
134C2×#88047C2211yescharacteristic, complemented
135#11718550C2211yescharacteristic, complemented
136#11718550C2211yescharacteristic, complemented
137#11718550C2211yescharacteristic, complemented
138#11718545C2211yescharacteristic, complemented
139#11718545C2211yescharacteristic, complemented
140D13×#107C2211yescharacteristic, complemented
141#11718538C2211yescharacteristic, complemented
142#11718538C2211yescharacteristic, complemented
143#11718537C2211yescharacteristic, complemented
144#11718536C2211yescharacteristic, complemented
145#11718536C2211yescharacteristic, complemented
146#11718535C2211yescharacteristic, complemented
147#11718502C2211yescharacteristic, complemented
148#11718496C2211yescharacteristic, complemented
149#11718490C2211yescharacteristic, complemented
150#11718489C2211yescharacteristic, complemented
151#11718478C2211yescharacteristic, complemented
152#11718474C2211yescharacteristic, complemented
153#11718474C2211yescharacteristic, complemented
154#11718470C2211yescharacteristic, complemented
155D13×#103C2211yescharacteristic, complemented
156#11718459C2211yescharacteristic, complemented
157#11718459C2211yescharacteristic, complemented
158#11718458C2211yescharacteristic, complemented
159#11718456C2211yescharacteristic, complemented
160#11718455C2211yescharacteristic, complemented
161#11718453C2211yescharacteristic, complemented
162#11718451C2211yescharacteristic, complemented
163#11718451C2211yescharacteristic, complemented
164#11718450C2211yescharacteristic, complemented
165#11718450C2211yescharacteristic, complemented
166#11718450C2211yescharacteristic, complemented
167#11718439C2211yescharacteristic
168#11718439C2211yescharacteristic
169#11718438C2211yescharacteristic
170#11718437C2211yescharacteristic
171#11718437C2211yescharacteristic
172D13×#102C2211yescharacteristic
173#11718423C2211yescharacteristic
174#11718423C2211yescharacteristic
175#11718422C2211yescharacteristic
176#11718421C2211yescharacteristic
177#11718420C2211yescharacteristic
178#11718420C2211yescharacteristic, complemented
179#11718419C2211yescharacteristic
180#11718419C2211yescharacteristic
181#11718418C2211yescharacteristic
182#11718418C2211yescharacteristic
183#11718418C2211yescharacteristic
184#11718418C2211yescharacteristic
185#11718418C2211yescharacteristic
186#11718418C2211yescharacteristic, complemented
187#11718418C2211yescharacteristic, complemented
188#11718418C2211yescharacteristic, complemented
189#11718418C2211yescharacteristic, complemented
190#11718418C2211yescharacteristic, complemented
191#11718399C2211yescharacteristic
192#11718399C2211yescharacteristic, complemented
193#11718389C2211yescharacteristic, complemented
194#11718386C2211yescharacteristic
195#11718384C2211yescharacteristic, complemented
196#11718383C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718371C2211yescharacteristic, complemented
200D13×#97C2211yescharacteristic, complemented
201#11718364C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C22×C22⋊D13—21no—
206C23×Dic13—21no—
207C2×Q8×D13C2311yescharacteristic
208C2×#6129—21no—
209C2×#6129D411yescharacteristic
210C2×D4×D13C2311yescharacteristic
211C22×C4×D13—21no—
212C22×Dic26C2311yescharacteristic
213C22×Dic26C2311yescharacteristic
214C2×C13×Q16C2311yescharacteristic
215C2×C13×SD16C2311yescharacteristic
216C2×C13×SD16C2311yescharacteristic
217C2×C13×M16C2311yescharacteristic
218C22×C8×C13C2311yescharacteristic
219C13×C4⋊Q8C2311yescharacteristic
220C13×#125—21no—
221C13×#124C2311yescharacteristic
222C13×#123—21no—
223C13×C22⋊Q8—21no—
224C13×C22⋊Q8—21no—
225C13×C22⋊Q8C2311yescharacteristic
226C13×C22⋊Q8C2311yescharacteristic
227C13×C22⋊Q8C2311yescharacteristic
228C13×#121—21no—
229C13×#121C2311yescharacteristic
230C13×#120—21no—
231C4×Q8×C13C2311yescharacteristic
232C4×D4×C13—21no—
233C4×D4×C13C2311yescharacteristic
234C4×D4×C13C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4—21no—
238#88207—21no—
239C2×C22⋊Dic13—21no—
240#88205—24no—
241#88201C2311yescharacteristic
242#88200—21no—
243#88200C2311yescharacteristic
244Q8×Dic13—21no—
245Q8×Dic13C2311yescharacteristic
246Q8×Dic13C2311yescharacteristic
247Q8×Dic13C2311yescharacteristic
248#88198—21no—
249#88198—21no—
250#88198C2311yescharacteristic
251#88198C2311yescharacteristic
252C2×#6107C2311yescharacteristic
253C2×#6107C2311yescharacteristic
254C2×#6107C2311yescharacteristic
255C2×#6106C2311yescharacteristic
256#88194C2311yescharacteristic
257#88193—21no—
258#88193—21no—
259#88193—21no—
260#88193—21no—
261#88192—21no—
262#88192C2311yescharacteristic
263#88191—21no—
264#88191—21no—
265#88189—21no—
266D4×Dic13—21no—
267D4×Dic13—21no—
268D4×Dic13—21no—
269D4×Dic13—21no—
270D4×Dic13—21no—
271D4×Dic13D411yescharacteristic
272D4×Dic13C2311yescharacteristic
273D4×Dic13C2311yescharacteristic
274D4×Dic13C2311yescharacteristic
275D4×Dic13C2311yescharacteristic
276D4×Dic13C2311yescharacteristic
277C2×#6105—24no—
278C2×#6105C2311yescharacteristic
279C2×#6105C2311yescharacteristic
280C2×#6105C2311yescharacteristic
281C2×#6105C2311yescharacteristic
282C2×#6105C2311yescharacteristic
283C2×#6105C2311yescharacteristic
284#88184C2311yescharacteristic
285#88184C2311yescharacteristic
286#88183—21no—
287C4×C22⋊D13—21no—
288C4×C22⋊D13—21no—
289C4×C22⋊D13—21no—
290C4×C22⋊D13C2311yescharacteristic
291C4×C22⋊D13C2311yescharacteristic
292C2×#6103—21no—
293#88180—21no—
294#88180C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296#88178—21no—
297#88178—21no—
298#88178—21no—
299#88178C2311yescharacteristic
300#88178C2311yescharacteristic
301C2×#6101—21no—
302C2×#6101—21no—
303C2×#6101—21no—
304C2×C4×Dic13—21no—
305C2×C4×Dic13—21no—
306C2×C4×Dic13—21no—
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×#6099C2311yescharacteristic
310C22×#1055C2311yescharacteristic
311SD16×D13—24no—
312C2×#6095C2311yescharacteristic
313C2×#6095C2311yescharacteristic
314C2×#6095C2311yescharacteristic
315C2×C8×D13C2311yescharacteristic
316C2×C8×D13C2311yescharacteristic
317#88152—21no—
318#88152—21no—
319#88151—21no—
320#88151C2311yescharacteristic
321#88151C2311yescharacteristic
322#88150—21no—
323#88150—21no—
324#88150—21no—
325#88150—21no—
326#88147C2311yescharacteristic
327#88146—21no—
328#88146—21no—
329#88146D411yescharacteristic
330C4⋊C4×D13—21no—
331C4⋊C4×D13C2311yescharacteristic
332C4⋊C4×D13C2311yescharacteristic
333#88144—21no—
334#88144C2311yescharacteristic
335#88143—21no—
336#88143—21no—
337#88143—21no—
338#88143—21no—
339#88143—21no—
340#88143—21no—
341#88143—21no—
342#88142—21no—
343#88142—21no—
344#88142—21no—
345#88142—21no—
346#88142C2311yescharacteristic
347#88142C2311yescharacteristic
348#88142C2311yescharacteristic
349#88141—21no—
350#88141—21no—
351#88141—21no—
352#88141—21no—
353#88141—21no—
354#88141—21no—
355#88141—21no—
356#88141—21no—
357#88141D411yescharacteristic
358#88141C2311yescharacteristic
359#88141C2311yescharacteristic
360#88141C2311yescharacteristic
361#88141C2311yescharacteristic
362#88141C2311yescharacteristic
363#88141C2311yescharacteristic
364#88141C2311yescharacteristic
365#88140—21no—
366#88140—21no—
367#88139—21no—
368#88139—21no—
369#88137—21no—
370#88137—21no—
371#88137—21no—
372#88135—21no—
373#88135—21no—
374#88135—21no—
375#88135—21no—
376#88135—21no—
377#88135—21no—
378#88135—21no—
379#88135—21no—
380#88135—21no—
381#88135—21no—
382#88135D411yescharacteristic
383#88135D411yescharacteristic
384C22⋊C4×D13—21no—
385#88133—21no—
386#88133—21no—
387#88132—21no—
388#88132—21no—
389#88132—21no—
390#88132—21no—
391#88132—21no—
392#88132—21no—
393#88132—21no—
394#88132—21no—
395#88132—21no—
396#88131—21no—
397#88131—21no—
398#88131—21no—
399#88131D411yescharacteristic
400#88131D411yescharacteristic
401C4×D52C2311yescharacteristic
402C42×D13—21no—
403C42×D13C2311yescharacteristic
404#88124—21no—
405#88124C2311yescharacteristic
406#88123C2311yescharacteristic
407C4×Dic26—21no—
408C4×Dic26—21no—
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#88060C2311yescharacteristic
438#88060C2311yescharacteristic
439#88058C2311yescharacteristic
440#88058C2311yescharacteristic
441#88057C2311yescharacteristic
442#88056C2311yescharacteristic
443#88056C2311yescharacteristic
444#88056C2311yescharacteristic
445#88056C2311yescharacteristic
446#88056C2311yescharacteristic
447#88056C2311yescharacteristic
448#88056C2311yescharacteristic
449#88056C2311yescharacteristic
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#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480#88043C2311yescharacteristic
481#61453—131nomaximal, Sylow
482C24×C13—21no—
483C23×D13—21no—
484C13×#41—22no—
485C13×#41—41no—
486C2×Q8×C13—21no—
487C2×Q8×C13C2411yescharacteristic
488C2×Q8×C13C2411yescharacteristic
489C2×D4×C13—22no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—41no—
494C2×D4×C13C2×D411yescharacteristic
495C2×D4×C13C2411yescharacteristic
496C2×D4×C13C2411yescharacteristic
497C22×C4×C13—21no—
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13C2411yescharacteristic
502C22×C4×C13C2411yescharacteristic
503C2×C22⋊D13—21no—
504C2×C22⋊D13—21no—
505C2×C22⋊D13—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C2×C22⋊D13—44no—
510C2×C22⋊D13C2×D411yescharacteristic
511C2×C22⋊D13C2×D411yescharacteristic
512C22×Dic13—21no—
513C22×Dic13—21no—
514C22×Dic13—21no—
515C22×Dic13—21no—
516C22×Dic13—21no—
517C22×Dic13—21no—
518C22×Dic13—21no—
519C22×Dic13—21no—
520C22×Dic13—82no—
521C22×Dic13C2×D411yescharacteristic
522C22×Dic13C2×D411yescharacteristic
523C22×Dic13C2×D411yescharacteristic
524C22×Dic13C2×D411yescharacteristic
525Q8×D13—22no—
526Q8×D13—41no—
527#6129—24no—
528#6129—82no—
529D4×D13—22no—
530D4×D13—41no—
531C2×D52C2411yescharacteristic
532C2×C4×D13—21no—
533C2×C4×D13—21no—
534C2×C4×D13—21no—
535C2×C4×D13—21no—
536C2×C4×D13—21no—
537C2×C4×D13—82no—
538C2×C4×D13C2×D411yescharacteristic
539C2×C4×D13C2×D411yescharacteristic
540C2×C4×D13C2411yescharacteristic
541C2×Dic26—22no—
542C2×Dic26—22no—
543C2×Dic26—21no—
544C2×Dic26—21no—
545C2×Dic26—21no—
546C2×Dic26—21no—
547C2×Dic26—21no—
548C2×Dic26—21no—
549C2×Dic26—41no—
550C2×Dic26—41no—
551C2×Dic26C2×D411yescharacteristic
552C2×Dic26C2411yescharacteristic
553C2×Dic26C2411yescharacteristic
554C2×Dic26C2411yescharacteristic
555C13×Q16—41no—
556C13×SD16—22no—
557C13×SD16—41no—
558C13×M16—41no—
559C2×C8×C13—41no—
560C2×C8×C13C2411yescharacteristic
561C2×C8×C13C2411yescharacteristic
562C2×C8×C13C2411yescharacteristic
563C2×C8×C13C2411yescharacteristic
564C13×C4⋊C4—21no—
565C13×C4⋊C4—21no—
566C13×C4⋊C4—21no—
567C13×C4⋊C4—21no—
568C13×C4⋊C4—21no—
569C13×C4⋊C4—21no—
570C13×C4⋊C4—21no—
571C13×C4⋊C4C2×D411yescharacteristic
572C13×C4⋊C4C2411yescharacteristic
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
583C13×C22⋊C4C2×D411yescharacteristic
584C13×C22⋊C4C2×D411yescharacteristic
585C42×C13—21no—
586C42×C13C2411yescharacteristic
587C22⋊Dic13—21no—
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13—21no—
591C22⋊Dic13—21no—
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13C2×D411yescharacteristic
597C22⋊Dic13C2×D411yescharacteristic
598#6107—22no—
599#6107—22no—
600#6107—41no—
601#6106—22no—
602#6105—22no—
603#6105—22no—
604#6105—22no—
605#6105—22no—
606#6105—41no—
607#6105#4114yescomplemented
608#6103—21no—
609#6103—21no—
610#6103—21no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103—21no—
615#6103—21no—
616#6103—21no—
617#6103C2×D411yescharacteristic
618#6103C2×D411yescharacteristic
619C4⋊Dic13—21no—
620C4⋊Dic13—21no—
621C4⋊Dic13—21no—
622C4⋊Dic13—21no—
623C4⋊Dic13—21no—
624C4⋊Dic13—21no—
625C4⋊Dic13—21no—
626C4⋊Dic13—21no—
627C4⋊Dic13—21no—
628C4⋊Dic13C2×D411yescharacteristic
629C4⋊Dic13C2411yescharacteristic
630C4⋊Dic13C2411yescharacteristic
631C4⋊Dic13C2411yescharacteristic
632C4⋊Dic13C2411yescharacteristic
633#6101—21no—
634#6101—21no—
635#6101—21no—
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—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101C2×D411yescharacteristic
657#6101C2×D411yescharacteristic
658#6101C2×D411yescharacteristic
659#6101C2×D411yescharacteristic
660C4×Dic13—21no—
661C4×Dic13—21no—
662C4×Dic13—21no—
663C4×Dic13—21no—
664C4×Dic13—21no—
665C4×Dic13—21no—
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13C2×D411yescharacteristic
673C4×Dic13C2×D411yescharacteristic
674C4×Dic13C2×D411yescharacteristic
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2411yescharacteristic
679C4×Dic13C2411yescharacteristic
680C4×Dic13C2411yescharacteristic
681#6099—22no—
682C2×#1055—22no—
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687#6095—22no—
688#6095—41no—
689#6095—41no—
690C8×D13—22no—
691C8×D13—41no—
692#3481—131no—
693Q8×#41—131no—
694#3400—131no—
695#3385—131no—
696#3375—131no—
697#3372—131no—
698#3346—131no—
699#3346—131no—
700#3338—131no—
701#3320—131no—
702#3320—131no—
703#3314—131no—
704#3314D1311yescharacteristic, complemented
705#3299—131no—
706#3295—131no—
707D4×SD16—131no—
708#3266—131no—
709#3266—131no—
710#3182—131no—
711#3181—131no—
712#3181—131no—
713#3117—131no—
714#3117—131no—
715#3116—131no—
716#3112—131no—
717#3110—131no—
718#3110—131no—
719#2970—131no—
720C4×#137—131no—
721C2×#440—131no—
722C2×#440—131no—
723C23×C13—21no—
724C23×C13—21no—
725C23×C13—42no—
726C23×C13—42no—
727C23×C13—81no—
728C23×C13C22×D411yescharacteristic
729C23×C13C22×D411yescharacteristic
730C22×D13—21no—
731C22×D13—42no—
732C22×D13—42no—
733C22×D13—81no—
734C22×D13C22×D411yescharacteristic
735Q8×C13—21no—
736Q8×C13—21no—
737Q8×C13—21no—
738Q8×C13—21no—
739Q8×C13—81no—
740D4×C13—22no—
741D4×C13—21no—
742D4×C13—21no—
743D4×C13—21no—
744D4×C13—42no—
745D4×C13—42no—
746D4×C13—81no—
747D4×C13C2×#4112yes—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—42no—
759C2×C4×C13—81no—
760C2×C4×C13—81no—
761C2×C4×C13—81no—
762C2×C4×C13C22×D411yescharacteristic
763C2×C4×C13C22×D411yescharacteristic
764C2×C4×C13C22×D411yescharacteristic
765C2×C4×C13C22×D411yescharacteristic
766C2×C4×C13C2511yescharacteristic
767C22⋊D13—22no—
768C22⋊D13—42no—
769C22⋊D13—42no—
770C22⋊D13—42no—
771C22⋊D13—42no—
772C22⋊D13—81no—
773C22⋊D13—81no—
774C22⋊D13#13714yescomplemented
775C2×Dic13—22no—
776C2×Dic13—21no—
777C2×Dic13—22no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—41no—
785C2×Dic13—41no—
786C2×Dic13—42no—
787C2×Dic13—42no—
788C2×Dic13—42no—
789C2×Dic13—42no—
790C2×Dic13—42no—
791C2×Dic13—81no—
792C2×Dic13—81no—
793C2×Dic13—81no—
794C2×Dic13C22×D411yescharacteristic
795C2×Dic13C22×D411yescharacteristic
796C2×Dic13C22×D411yescharacteristic
797C2×Dic13C22×D411yescharacteristic
798C2×Dic13C22×D411yescharacteristic
799C2×Dic13C22×D411yescharacteristic
800C2×Dic13C22×D411yescharacteristic
801D52—21no—
802D52—21no—
803C4×D13—22no—
804C4×D13—21no—
805C4×D13—21no—
806C4×D13—41no—
807C4×D13—42no—
808C4×D13—42no—
809C4×D13—81no—
810C4×D13—81no—
811C4×D13—81no—
812Dic26—21no—
813Dic26—22no—
814Dic26—21no—
815Dic26—21no—
816Dic26—21no—
817Dic26—21no—
818Dic26—42no—
819Dic26—42no—
820Dic26—42no—
821Dic26—81no—
822Dic26—81no—
823Dic26—81no—
824Dic26C2×#4112yes—
825C8×C13—21no—
826C8×C13—21no—
827C8×C13—21no—
828C8×C13—21no—
829#1055—21no—
830#1055—21no—
831#1055—21no—
832#1055C2×#4112yes—
833C2×#137—131no—
834C22×SD16—131no—
835C22×SD16—131no—
836#559—131no—
837Q82—131no—
838#557—131no—
839#557—261no—
840#554—131no—
841#554—131no—
842#554—131no—
843#554—131no—
844#554—261no—
845#554—261no—
846#554—261no—
847#554C2×D1311yescharacteristic, complemented
848#553—131no—
849#553—131no—
850#553—261no—
851#551—261no—
852#551—261no—
853D4×Q8—131no—
854D4×Q8—131no—
855D4×Q8—131no—
856#546—131no—
857#546—261no—
858#546C2×D1311yescharacteristic
859D42—131no—
860#533—131no—
861#533—131no—
862#533—131no—
863#533—261no—
864#533—261no—
865#533—261no—
866#532—131no—
867#529—131no—
868#529—131no—
869#529—261no—
870#525—261no—
871#525—261no—
872C4×#41—131no—
873C4×#41—131no—
874C4×#41—261no—
875C2×C4×Q8—131no—
876C2×C4×Q8—131no—
877C2×C4×Q8—131no—
878C2×C4×D4—131no—
879C2×C4×D4—131no—
880C2×C4×D4—261no—
881#501—131no—
882#501—131no—
883#500—131no—
884#497—131no—
885#497—131no—
886#492—131no—
887#491—131no—
888#491—131no—
889#489—131no—
890#489C2×D1311yescharacteristic, complemented
891#487—131no—
892#486—131no—
893#485—131no—
894#485—131no—
895#484—131no—
896#484—131no—
897#484—131no—
898#484—131no—
899#484—131no—
900#484C2×D1311yescharacteristic, complemented
901#481—131no—
902#481—131no—
903#480—131no—
904#480C2×D1311yescharacteristic, complemented
905#479—131no—
906#479—131no—
907#479—131no—
908#479—131no—
909#477—131no—
910#477—131no—
911#477—131no—
912#476—131no—
913#474—131no—
914#474—131no—
915#474—131no—
916#474C2×D1311yescharacteristic
917#468—131no—
918#468—131no—
919#468—131no—
920#468C2×D1311yescharacteristic, complemented
921#467—131no—
922#467—131no—
923#467—131no—
924#467C2×D1311yescharacteristic, complemented
925#465—131no—
926#465—131no—
927#465—131no—
928#465—131no—
929#464—131no—
930#464—131no—
931#464—131no—
932#464C2×D1311yescharacteristic, complemented
933#462—131no—
934#461—131no—
935#461—131no—
936#461—131no—
937#461—131no—
938#461—131no—
939#460—131no—
940#460—131no—
941#452—131no—
942#452C2×D1311yescharacteristic
943#451—131no—
944#451—131no—
945#450—131no—
946#450—131no—
947#450—131no—
948#450C2×D1311yescharacteristic
949#448—131no—
950#448—131no—
951#448—131no—
952#448—131no—
953#446—131no—
954#446—131no—
955#441—131no—
956#441—131no—
957#441—131no—
958#441—131no—
959#440—131no—
960#440—131no—
961#440—131no—
962#440—131no—
963#440—131no—
964#440—131no—
965#440—131no—
966#440—131no—
967#440—131no—
968#440—131no—
969#440—131no—
970#440—131no—
971#440—131no—
972#440—131no—
973#440—131no—
974#440—131no—
975#440—131no—
976#440—131no—
977#440—131no—
978#440C2×D1311yescharacteristic
979C4×Q16—131no—
980C4×Q16—131no—
981C4×SD16—131no—
982C4×SD16—131no—
983#435—131no—
984#435—131no—
985#435—131no—
986#435C2×D1311yescharacteristic, complemented
987C8×D4—131no—
988C8×D4—131no—
989#432—131no—
990#432—131no—
991#432—131no—
992#428—131no—
993C2×#107—131no—
994C2×#107—131no—
995#419—131no—
996#417C2×D1311yescharacteristic
997C2×#103—131no—
998C2×#103—131no—
999C2×#102—131no—
1000C2×#102C2×D1311yescharacteristic
1001C4×M16—131no—
1002C2×#97—131no—
1003C2×#97—131no—
1004C22×C13—21no—
1005C22×C13—21no—
1006C22×C13—21no—
1007C22×C13—21no—
1008C22×C13—22no—
1009C22×C13—21no—
1010C22×C13—41no—
1011C22×C13—41no—
1012C22×C13—41no—
1013C22×C13—41no—
1014C22×C13—41no—
1015C22×C13—84no—
1016C22×C13C2×#13712yes—
1017C22×C13C23×D411yescharacteristic
1018C2×D13—21no—
1019C2×D13—21no—
1020C2×D13—41no—
1021C2×D13—41no—
1022C2×D13—41no—
1023C2×D13—84no—
1024C2×D13C2×#13712yes—
1025C4×C13—21no—
1026C4×C13—21no—
1027C4×C13—21no—
1028C4×C13—21no—
1029C4×C13—41no—
1030C4×C13—41no—
1031C4×C13—41no—
1032C4×C13—41no—
1033C4×C13—41no—
1034C4×C13—41no—
1035C4×C13C22×#4111yescharacteristic
1036C4×C13#58511yescharacteristic
1037Dic13—21no—
1038Dic13—21no—
1039Dic13—21no—
1040Dic13—22no—
1041Dic13—21no—
1042Dic13—21no—
1043Dic13—21no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13—41no—
1048Dic13—41no—
1049Dic13—41no—
1050Dic13C2×#13712yes—
1051C2×#41—131no—
1052C2×#41—261no—
1053C2×#41C22×D1311yescharacteristic
1054C22×Q8—131no—
1055C22×Q8—131no—
1056C22×Q8—131no—
1057C22×D4—131no—
1058C22×D4—261no—
1059C22×D4C22×D1311yescharacteristic
1060C23×C4—261no—
1061C23×C4—261no—
1062#137—264no—
1063C2×Q16—131no—
1064C2×Q16—131no—
1065C2×Q16—131no—
1066C2×Q16C22×D1311yescharacteristic
1067C2×SD16—131no—
1068C2×SD16—131no—
1069C2×SD16—131no—
1070C2×SD16—131no—
1071C2×SD16—131no—
1072C2×SD16—131no—
1073C2×SD16—131no—
1074C2×SD16—131no—
1075C2×SD16—131no—
1076C2×SD16—131no—
1077C2×SD16—264no—
1078C2×SD16—264no—
1079C2×SD16C22×D1311yescharacteristic
1080C2×SD16C22×D1311yescharacteristic
1081C2×M16—131no—
1082C2×M16C22×D1311yescharacteristic
1083C22×C8—131no—
1084C22×C8—131no—
1085C22×C8—131no—
1086C22×C8C22×D1311yescharacteristic
1087C4⋊Q8—131no—
1088C4⋊Q8—131no—
1089C4⋊Q8—131no—
1090C4⋊Q8—131no—
1091C4⋊Q8—131no—
1092C4⋊Q8—131no—
1093C4⋊Q8—261no—
1094C4⋊Q8—261no—
1095C4⋊Q8—261no—
1096C4⋊Q8—261no—
1097C4⋊Q8—261no—
1098C4⋊Q8—261no—
1099C4⋊Q8C22×D1311yescharacteristic
1100#127—131no—
1101#126—261no—
1102#126—261no—
1103#126—261no—
1104#126—261no—
1105#125—21no—
1106#125—131no—
1107#125—131no—
1108#125—261no—
1109#125—261no—
1110#125—261no—
1111#125—261no—
1112#125—261no—
1113#125—261no—
1114#125—261no—
1115#125—261no—
1116#125—261no—
1117#124—131no—
1118#124—261no—
1119#124—261no—
1120#124C22×D1311yescharacteristic
1121#123—21no—
1122#123—261no—
1123#123—261no—
1124#123—261no—
1125#123—261no—
1126#123—261no—
1127#123—261no—
1128#123—261no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—131no—
1132C22⋊Q8—131no—
1133C22⋊Q8—131no—
1134C22⋊Q8—131no—
1135C22⋊Q8—131no—
1136C22⋊Q8—261no—
1137C22⋊Q8—261no—
1138C22⋊Q8—261no—
1139C22⋊Q8—261no—
1140C22⋊Q8—261no—
1141C22⋊Q8—261no—
1142C22⋊Q8—261no—
1143C22⋊Q8—261no—
1144C22⋊Q8—261no—
1145C22⋊Q8—261no—
1146C22⋊Q8—261no—
1147C22⋊Q8—261no—
1148C22⋊Q8—261no—
1149C22⋊Q8—261no—
1150C22⋊Q8—261no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8C22×D1311yescharacteristic
1155C22⋊Q8C22×D1311yescharacteristic
1156C22⋊Q8C22×D1311yescharacteristic
1157#121—21no—
1158#121—131no—
1159#121—131no—
1160#121—131no—
1161#121—261no—
1162#121—261no—
1163#121—261no—
1164#121—261no—
1165#121—261no—
1166#121C22×D1311yescharacteristic
1167#120—21no—
1168#120—261no—
1169#120—261no—
1170#120—261no—
1171C4×Q8—131no—
1172C4×Q8—131no—
1173C4×Q8—131no—
1174C4×Q8—131no—
1175C4×Q8—131no—
1176C4×Q8—131no—
1177C4×Q8—131no—
1178C4×Q8—131no—
1179C4×Q8—131no—
1180C4×Q8—131no—
1181C4×Q8—131no—
1182C4×Q8—131no—
1183C4×Q8—131no—
1184C4×Q8—261no—
1185C4×Q8—261no—
1186C4×Q8—261no—
1187C4×Q8—261no—
1188C4×Q8—261no—
1189C4×Q8—261no—
1190C4×Q8—261no—
1191C4×Q8—261no—
1192C4×Q8—261no—
1193C4×Q8—261no—
1194C4×Q8—261no—
1195C4×Q8C22×D1311yescharacteristic
1196C4×D4—21no—
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—261no—
1210C4×D4—261no—
1211C4×D4—261no—
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×D4C22×D1311yescharacteristic
1228C4×D4C22×D1311yescharacteristic
1229#117—131no—
1230#117—131no—
1231#117—131no—
1232#117—131no—
1233#117—261no—
1234#117—261no—
1235#117—261no—
1236#117—261no—
1237#117—261no—
1238#117—261no—
1239C2×C4⋊C4—131no—
1240C2×C4⋊C4—131no—
1241C2×C4⋊C4—131no—
1242C2×C4⋊C4—261no—
1243C2×C4⋊C4—261no—
1244C2×C4⋊C4—261no—
1245C2×C4⋊C4—261no—
1246C2×C4⋊C4C22×D1311yescharacteristic
1247C2×C4⋊C4C22×D1311yescharacteristic
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—261no—
1250C2×C22⋊C4—261no—
1251C2×C22⋊C4—261no—
1252C2×C42—131no—
1253C2×C42—131no—
1254C2×C42—131no—
1255C2×C42—261no—
1256C2×C42—261no—
1257C2×C42—261no—
1258C2×C42—261no—
1259#107—131no—
1260#107—131no—
1261#107—131no—
1262#107—131no—
1263#107—131no—
1264#107—131no—
1265#107—131no—
1266#107—131no—
1267#107—131no—
1268#107C22×D1311yescharacteristic
1269#107C22×D1311yescharacteristic
1270#107C22×D1311yescharacteristic
1271#106—131no—
1272#106—131no—
1273#106—131no—
1274#106—131no—
1275C4⋊C8—131no—
1276C4⋊C8—131no—
1277C4⋊C8—131no—
1278C4⋊C8—131no—
1279C4⋊C8—131no—
1280C4⋊C8C22×D1311yescharacteristic
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#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103C22×D1311yescharacteristic
1298#103C22×D1311yescharacteristic
1299#103C22×D1311yescharacteristic
1300#103C22×D1311yescharacteristic
1301#102—131no—
1302#102—131no—
1303#102—131no—
1304#102—131no—
1305#102—131no—
1306#102—131no—
1307#102C22×D1311yescharacteristic
1308#102C22×D1311yescharacteristic
1309#102C22×D1311yescharacteristic
1310#102C22×D1311yescharacteristic
1311#102C22×D1311yescharacteristic
1312#102C22×D1311yescharacteristic
1313C22⋊C8—131no—
1314C22⋊C8—131no—
1315C22⋊C8—131no—
1316C22⋊C8—131no—
1317C22⋊C8C22×D1311yescharacteristic
1318C22⋊C8C22×D1311yescharacteristic
1319#97—131no—
1320#97—131no—
1321#97—131no—
1322#97—131no—
1323#97—131no—
1324#97—131no—
1325#97—131no—
1326#97C22×D1311yescharacteristic
1327C4×C8—131no—
1328C4×C8—131no—
1329C2×C13—22no—
1330C2×C13—42no—
1331C2×C13—41no—
1332C2×C13—81no—
1333C2×C13D4×#4111yescharacteristic
1334C2×C13C22×#13711yescharacteristic
1335C2×C13#358511yescharacteristic
1336D13—22no—
1337D13—81no—
1338C24—21no—
1339C24—261no—
1340#41—22no—
1341#41—41no—
1342#41—264no—
1343#41—1042no—
1344C2×Q8—21no—
1345C2×Q8—131no—
1346C2×Q8—131no—
1347C2×Q8—131no—
1348C2×Q8—131no—
1349C2×Q8—261no—
1350C2×Q8—261no—
1351C2×Q8—261no—
1352C2×Q8—261no—
1353C2×Q8—262no—
1354C2×Q8—262no—
1355C2×Q8—261no—
1356C2×Q8—261no—
1357C2×Q8—262no—
1358C2×Q8—521no—
1359C2×Q8—521no—
1360C2×Q8—521no—
1361C2×Q8C23×D1311yescharacteristic
1362C2×Q8C23×D1311yescharacteristic
1363C2×D4—22no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—41no—
1368C2×D4—131no—
1369C2×D4—131no—
1370C2×D4—131no—
1371C2×D4—261no—
1372C2×D4—261no—
1373C2×D4—261no—
1374C2×D4—262no—
1375C2×D4—261no—
1376C2×D4—261no—
1377C2×D4—261no—
1378C2×D4—521no—
1379C2×D4—524no—
1380C2×D4D4×D1311yescharacteristic
1381C2×D4C23×D1311yescharacteristic
1382C2×D4C23×D1311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—131no—
1388C22×C4—131no—
1389C22×C4—131no—
1390C22×C4—131no—
1391C22×C4—131no—
1392C22×C4—131no—
1393C22×C4—131no—
1394C22×C4—261no—
1395C22×C4—261no—
1396C22×C4—261no—
1397C22×C4—261no—
1398C22×C4—261no—
1399C22×C4—261no—
1400C22×C4—261no—
1401C22×C4—261no—
1402C22×C4—261no—
1403C22×C4—261no—
1404C22×C4—261no—
1405C22×C4—261no—
1406C22×C4—261no—
1407C22×C4—1042no—
1408C22×C4—1042no—
1409C22×C4C23×D1311yescharacteristic
1410C22×C4C23×D1311yescharacteristic
1411Q16—41no—
1412Q16—262no—
1413Q16—262no—
1414Q16—521no—
1415SD16—22no—
1416SD16—41no—
1417SD16—134no—
1418SD16—262no—
1419SD16—262no—
1420SD16—262no—
1421SD16—262no—
1422SD16—262no—
1423SD16—262no—
1424SD16—521no—
1425SD16—521no—
1426SD16—521no—
1427M16—41no—
1428M16—262no—
1429C2×C8—41no—
1430C2×C8—131no—
1431C2×C8—131no—
1432C2×C8—131no—
1433C2×C8—131no—
1434C2×C8—262no—
1435C2×C8—262no—
1436C2×C8—521no—
1437C2×C8C23×D1311yescharacteristic
1438C2×C8C23×D1311yescharacteristic
1439C2×C8C23×D1311yescharacteristic
1440C2×C8C23×D1311yescharacteristic
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—131no—
1449C4⋊C4—131no—
1450C4⋊C4—131no—
1451C4⋊C4—131no—
1452C4⋊C4—131no—
1453C4⋊C4—131no—
1454C4⋊C4—131no—
1455C4⋊C4—131no—
1456C4⋊C4—131no—
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⋊C4—261no—
1470C4⋊C4—261no—
1471C4⋊C4—261no—
1472C4⋊C4—261no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4D4×D1311yescharacteristic
1490C4⋊C4C23×D1311yescharacteristic
1491C4⋊C4C23×D1311yescharacteristic
1492C4⋊C4C23×D1311yescharacteristic
1493C4⋊C4C23×D1311yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—131no—
1502C22⋊C4—131no—
1503C22⋊C4—131no—
1504C22⋊C4—131no—
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⋊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⋊C4D4×D1311yescharacteristic
1524C22⋊C4D4×D1311yescharacteristic
1525C42—21no—
1526C42—131no—
1527C42—131no—
1528C42—131no—
1529C42—131no—
1530C42—131no—
1531C42—131no—
1532C42—131no—
1533C42—131no—
1534C42—131no—
1535C42—261no—
1536C42—261no—
1537C42—261no—
1538C42—261no—
1539C42—261no—
1540C42—261no—
1541C42—261no—
1542C42—261no—
1543C42—261no—
1544C42—261no—
1545C42—261no—
1546C42—261no—
1547C42C23×D1311yescharacteristic
1548C13#6145311yescharacteristic, complemented, Sylow
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—42no—
1553C23—81no—
1554C23—131no—
1555C23—261no—
1556C23—522no—
1557C23—522no—
1558C23—1041no—
1559C23C2×D4×D1311yescharacteristic
1560C23C2×D4×D1311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—81no—
1566Q8—132no—
1567Q8—262no—
1568Q8—261no—
1569Q8—261no—
1570Q8—261no—
1571Q8—261no—
1572Q8—261no—
1573Q8—522no—
1574Q8—522no—
1575Q8—522no—
1576Q8—1041no—
1577Q8—1041no—
1578Q8—1041no—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—134no—
1587D4—262no—
1588D4—261no—
1589D4—261no—
1590D4—522no—
1591D4—522no—
1592D4—522no—
1593D4—522no—
1594D4—1041no—
1595D4—1041no—
1596D4#41×D1312yes—
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—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—131no—
1612C2×C4—131no—
1613C2×C4—131no—
1614C2×C4—131no—
1615C2×C4—131no—
1616C2×C4—131no—
1617C2×C4—131no—
1618C2×C4—262no—
1619C2×C4—262no—
1620C2×C4—262no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—261no—
1624C2×C4—261no—
1625C2×C4—261no—
1626C2×C4—261no—
1627C2×C4—261no—
1628C2×C4—261no—
1629C2×C4—261no—
1630C2×C4—521no—
1631C2×C4—522no—
1632C2×C4—522no—
1633C2×C4—522no—
1634C2×C4—521no—
1635C2×C4—521no—
1636C2×C4—522no—
1637C2×C4—522no—
1638C2×C4—522no—
1639C2×C4—522no—
1640C2×C4—1041no—
1641C2×C4—1041no—
1642C2×C4—1041no—
1643C2×C4—1041no—
1644C2×C4—1041no—
1645C2×C4—1041no—
1646C2×C4C2×D4×D1311yescharacteristic
1647C2×C4C2×D4×D1311yescharacteristic
1648C2×C4C2×D4×D1311yescharacteristic
1649C2×C4C2×D4×D1311yescharacteristic
1650C2×C4C24×D1311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—132no—
1656C8—261no—
1657C8—261no—
1658C8—261no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—22no—
1664C22—21no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—132no—
1672C22—261no—
1673C22—261no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22—1044no—
1678C22D13×#13712yes—
1679C22C22×D4×D1311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—132no—
1691C4—261no—
1692C4—261no—
1693C4—261no—
1694C4—262no—
1695C4—261no—
1696C4—261no—
1697C4—261no—
1698C4—521no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4C2×#41×D1311yescharacteristic
1705C4#1171965011yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—42no—
1709C2—81no—
1710C2—262no—
1711C2—1041no—
1712C2#1312832011yescharacteristic
1713C2C2×D13×#13711yescharacteristic
1714C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3314C2
socleC22×C13C23×D4
prime radical#13128441C2
hypercenter#3314D13
hypocenterC13#61453
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
2. #13128415C2semidirect
3. #13127892C2semidirect
4. #13127741C2semidirect
5. #13127647C2semidirect
6. #13127618C2semidirect
7. #13127324C2semidirect
8. #13127315C2semidirect
9. #13127223C2semidirect
10. #13127009C2semidirect
11. #13127002C2semidirect
12. #13126918C2semidirect
13. #13126707C2semidirect
14. #13126656C2semidirect
15. #13126530C2semidirect
16. #13126344C2semidirect
17. #13126342C2semidirect
18. #13125549C2semidirect
19. #13125548C2semidirect
20. #13125540C2semidirect
21. #13125010C2semidirect
22. #13125006C2semidirect
23. #13124991C2semidirect
24. #13124955C2semidirect
25. #13124937C2semidirect
26. #13124930C2semidirect
27. #13123846C2semidirect
28. #13123660C2semidirect
29. C2×#11718418C2semidirect
30. D13×#440C2semidirect
31. C13×#3314C2semidirect
32. C13×#554C22semidirect
41. #11719433C22semidirect
42. #11719427C22semidirect
53. #11719337C22semidirect
57. #11719327C22semidirect
58. #11719327C22semidirect
65. C4×Q8×D13C22semidirect
66. #11719272C22semidirect
71. D4×Dic26C22semidirect
75. #11719216C22semidirect
76. C2×#88141C22semidirect
77. C2×#88141C22semidirect
80. C13×#489C22semidirect
81. C13×#484C22semidirect
82. C13×#480C22semidirect
84. C13×#468C22semidirect
85. C13×#467C22semidirect
86. C13×#464C22semidirect
90. C13×#435C22semidirect
95. #11718851C22semidirect
96. #11718847C22semidirect
97. #11718845C22semidirect
98. #11718843C22semidirect
102. #11718825C22semidirect
105. #11718823C22semidirect
106. #11718795C22semidirect
107. #11718788C22semidirect
108. #11718781C22semidirect
109. M16×Dic13C22semidirect
112. C2×#88056C22semidirect
113. C2×#88055C22semidirect
114. #11718748C22semidirect
115. #11718741C22semidirect
116. #11718721C22semidirect
117. #11718715C22semidirect
118. #11718712C22semidirect
119. #11718711C22semidirect
120. #11718710C22semidirect
122. #11718706C22semidirect
123. #11718705C22semidirect
124. #11718703C22semidirect
125. #11718701C22semidirect
126. #11718687C22semidirect
127. #11718683C22semidirect
130. #11718672C22semidirect
132. #11718628C22semidirect
133. #11718625C22semidirect
134. C2×#88047C22semidirect
135. #11718550C22semidirect
136. #11718550C22semidirect
137. #11718550C22semidirect
138. #11718545C22semidirect
139. #11718545C22semidirect
140. D13×#107C22semidirect
141. #11718538C22semidirect
142. #11718538C22semidirect
143. #11718537C22semidirect
144. #11718536C22semidirect
145. #11718536C22semidirect
146. #11718535C22semidirect
147. #11718502C22semidirect
148. #11718496C22semidirect
149. #11718490C22semidirect
150. #11718489C22semidirect
151. #11718478C22semidirect
152. #11718474C22semidirect
153. #11718474C22semidirect
154. #11718470C22semidirect
155. D13×#103C22semidirect
156. #11718459C22semidirect
157. #11718459C22semidirect
158. #11718458C22semidirect
159. #11718456C22semidirect
160. #11718455C22semidirect
161. #11718453C22semidirect
162. #11718451C22semidirect
163. #11718451C22semidirect
164. #11718450C22semidirect
165. #11718450C22semidirect
166. #11718450C22semidirect
178. #11718420C22semidirect
186. #11718418C22semidirect
187. #11718418C22semidirect
188. #11718418C22semidirect
189. #11718418C22semidirect
190. #11718418C22semidirect
192. #11718399C22semidirect
193. #11718389C22semidirect
195. #11718384C22semidirect
196. #11718383C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. #11718371C22semidirect
200. D13×#97C22semidirect
201. #11718364C22semidirect
202. #11718362C22semidirect
607. #6105#41semidirect
704. #3314D13semidirect
774. C22⋊D13#137semidirect
847. #554C2×D13semidirect
890. #489C2×D13semidirect
900. #484C2×D13semidirect
904. #480C2×D13semidirect
920. #468C2×D13semidirect
924. #467C2×D13semidirect
932. #464C2×D13semidirect
986. #435C2×D13semidirect
1548. C13#61453semidirect

Maximal subgroups

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

subgroupindex
#131284412
#131284152
#131278922
#131277412
#131276472
#131276182
#131273242
#131273152
#131272232
#131270092
#131270022
#131269182
#131267072
#131266562
#131265302
#131263442
#131263422
#131255492
#131255482
#131255402
#131250102
#131250062
#131249912
#131249552
#131249372
#131249302
#131238462
#131236602
C2×#117184182
D13×#4402
C13×#33142
#6145313