Finite Group Databasebeta

← #16744834

Subgroups — #16744834

Order 3328.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128440C211yesmaximal, characteristic, complemented
2D4×#6127C211yesmaximal, characteristic, complemented
3#13127879C211yesmaximal, characteristic, complemented
4#13127736C211yesmaximal, characteristic, complemented
5#13127629C211yesmaximal, characteristic, complemented
6#13127544C211yesmaximal, characteristic, complemented
7#13127311C211yesmaximal, characteristic, complemented
8#13127302C211yesmaximal, characteristic, complemented
9#13127189C211yesmaximal, characteristic, complemented
10#13126982C211yesmaximal, characteristic, complemented
11#13126973C211yesmaximal, characteristic, complemented
12#13126802C211yesmaximal, characteristic, complemented
13#13126793C211yesmaximal, characteristic, complemented
14#13126656C211yesmaximal, characteristic, complemented
15#13126645C211yesmaximal, characteristic, complemented
16D8×C22⋊D13C211yesmaximal, characteristic, complemented
17#13126318C211yesmaximal, characteristic, complemented
18#13126316C211yesmaximal, characteristic, complemented
19#13125571C211yesmaximal, characteristic, complemented
20#13125534C211yesmaximal, characteristic, complemented
21#13125532C211yesmaximal, characteristic, complemented
22#13124983C211yesmaximal, characteristic, complemented
23#13124974C211yesmaximal, characteristic, complemented
24#13124972C211yesmaximal, characteristic, complemented
25#13124927C211yesmaximal, characteristic, complemented
26#13124925C211yesmaximal, characteristic, complemented
27#13124925C211yesmaximal, characteristic, complemented
28#13123847C211yesmaximal, characteristic, complemented
29#13123647C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C2×C13×#442C211yesmaximal, characteristic, complemented
32C22×#6127—21no—
33C22×C13×D8C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic, complemented
35C2×C4×D4×C13C2211yescharacteristic, complemented
36#11719511C2211yescharacteristic, complemented
37D4×C22⋊D13C2211yescharacteristic
38D4×C22⋊D13C2211yescharacteristic, complemented
39D4×C22⋊D13C2211yescharacteristic, complemented
40#11719496—21no—
41#11719496—21no—
42C2×C4×C22⋊D13—21no—
43C2×#88165C2211yescharacteristic
44C2×D8×D13C2211yescharacteristic
45#11719264C2211yescharacteristic, complemented
46#11719263C2211yescharacteristic, complemented
47#11719262C2211yescharacteristic, complemented
48#11719261—21no—
49#11719259C2211yescharacteristic, complemented
50#11719258C2211yescharacteristic, complemented
51#11719257—21no—
52#11719256C2211yescharacteristic, complemented
53#11719255—21no—
54D4×D52C2211yescharacteristic, complemented
55#11719253C2211yescharacteristic, complemented
56#11719253C2211yescharacteristic, complemented
57#11719253C2211yescharacteristic, complemented
58#11719252—21no—
59#11719252—21no—
60#11719252—21no—
61C4×D4×D13C2211yescharacteristic, complemented
62C4×D4×D13C2211yescharacteristic, complemented
63C4×D4×D13C2211yescharacteristic, complemented
64#11719245—21no—
65#11719244C2211yescharacteristic, complemented
66#11719243—21no—
67D4×Dic26C2211yescharacteristic, complemented
68C4×#6129C2211yescharacteristic, complemented
69#11719219C2211yescharacteristic, complemented
70#11719216C2211yescharacteristic, complemented
71#11719212C2211yescharacteristic
72#11719212C2211yescharacteristic, complemented
73#11719200—21no—
74#11719195—21no—
75#11719195—21no—
76#11719195—21no—
77#11719184C2211yescharacteristic, complemented
78#11719182C2211yescharacteristic, complemented
79C4×#6127C2211yescharacteristic
80C13×#442C2211yescharacteristic
81C13×#442C2211yescharacteristic
82C13×#442C2211yescharacteristic, complemented
83C13×#442C2211yescharacteristic, complemented
84C13×#442C2211yescharacteristic, complemented
85C13×#442C2211yescharacteristic, complemented
86C13×#442C2211yescharacteristic, complemented
87C13×#442C2211yescharacteristic, complemented
88C2×C13×#106C2211yescharacteristic, complemented
89C2×C13×#102C2211yescharacteristic, complemented
90C2×C13×#102C2211yescharacteristic, complemented
91C2×C13×#97C2211yescharacteristic, complemented
92#11718879C2211yescharacteristic, complemented
93#11718878C2211yescharacteristic
94#11718878C2211yescharacteristic, complemented
95#11718878C2211yescharacteristic, complemented
96#11718820C2211yescharacteristic, complemented
97#11718819C2211yescharacteristic, complemented
98#11718818C2211yescharacteristic, complemented
99#11718817C2211yescharacteristic
100#11718817C2211yescharacteristic, complemented
101#11718817C2211yescharacteristic, complemented
102#11718815C2211yescharacteristic, complemented
103#11718814C2211yescharacteristic, complemented
104#11718813C2211yescharacteristic
105#11718812C2211yescharacteristic, complemented
106#11718811C2211yescharacteristic
107#11718811C2211yescharacteristic, complemented
108#11718811C2211yescharacteristic, complemented
109D8×Dic13C2211yescharacteristic
110#11718776C2211yescharacteristic, complemented
111#11718776C2211yescharacteristic, complemented
112#11718775C2211yescharacteristic, complemented
113#11718775C2211yescharacteristic, complemented
114#11718772C2211yescharacteristic, complemented
115#11718772C2211yescharacteristic, complemented
116C8×C22⋊D13C2211yescharacteristic, complemented
117C8×C22⋊D13C2211yescharacteristic, complemented
118#11718679C2211yescharacteristic, complemented
119#11718679C2211yescharacteristic, complemented
120#11718677C2211yescharacteristic, complemented
121#11718677C2211yescharacteristic, complemented
122#11718676C2211yescharacteristic, complemented
123#11718676C2211yescharacteristic, complemented
124#11718675C2211yescharacteristic, complemented
125#11718675C2211yescharacteristic, complemented
126#11718675C2211yescharacteristic, complemented
127#11718675C2211yescharacteristic, complemented
128#11718675C2211yescharacteristic, complemented
129#11718675C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718670C2211yescharacteristic, complemented
132#11718669C2211yescharacteristic, complemented
133#11718669C2211yescharacteristic, complemented
134#11718632C2211yescharacteristic, complemented
135#11718629C2211yescharacteristic, complemented
136#11718629C2211yescharacteristic, complemented
137#11718628C2211yescharacteristic, complemented
138#11718587C2211yescharacteristic, complemented
139#11718532C2211yescharacteristic, complemented
140#11718531C2211yescharacteristic, complemented
141#11718531C2211yescharacteristic, complemented
142#11718530C2211yescharacteristic, complemented
143#11718527C2211yescharacteristic, complemented
144#11718526C2211yescharacteristic, complemented
145#11718525C2211yescharacteristic, complemented
146#11718524C2211yescharacteristic, complemented
147#11718524C2211yescharacteristic, complemented
148#11718523C2211yescharacteristic, complemented
149#11718522C2211yescharacteristic, complemented
150D13×#106C2211yescharacteristic, complemented
151#11718517C2211yescharacteristic, complemented
152#11718516C2211yescharacteristic, complemented
153#11718515C2211yescharacteristic, complemented
154#11718513C2211yescharacteristic, complemented
155#11718448C2211yescharacteristic, complemented
156#11718447C2211yescharacteristic, complemented
157#11718447C2211yescharacteristic, complemented
158#11718446C2211yescharacteristic, complemented
159#11718446C2211yescharacteristic, complemented
160#11718445C2211yescharacteristic, complemented
161#11718443C2211yescharacteristic, complemented
162#11718443C2211yescharacteristic, complemented
163#11718442C2211yescharacteristic, complemented
164#11718439C2211yescharacteristic, complemented
165#11718438C2211yescharacteristic, complemented
166#11718438C2211yescharacteristic, complemented
167#11718437C2211yescharacteristic, complemented
168#11718436C2211yescharacteristic, complemented
169#11718435C2211yescharacteristic, complemented
170#11718434C2211yescharacteristic, complemented
171#11718434C2211yescharacteristic, complemented
172#11718432C2211yescharacteristic, complemented
173#11718431C2211yescharacteristic, complemented
174D13×#102C2211yescharacteristic, complemented
175D13×#102C2211yescharacteristic, complemented
176#11718427C2211yescharacteristic, complemented
177#11718426C2211yescharacteristic, complemented
178#11718425C2211yescharacteristic, complemented
179#11718423C2211yescharacteristic, complemented
180#11718422C2211yescharacteristic, complemented
181#11718422C2211yescharacteristic, complemented
182#11718421C2211yescharacteristic, complemented
183#11718421C2211yescharacteristic, complemented
184#11718420C2211yescharacteristic, complemented
185#11718419C2211yescharacteristic, complemented
186#11718417C2211yescharacteristic, complemented
187#11718375C2211yescharacteristic, complemented
188#11718374C2211yescharacteristic, complemented
189#11718373C2211yescharacteristic, complemented
190#11718372C2211yescharacteristic, complemented
191#11718372C2211yescharacteristic, complemented
192#11718371C2211yescharacteristic, complemented
193#11718371C2211yescharacteristic, complemented
194#11718368C2211yescharacteristic, complemented
195#11718367C2211yescharacteristic, complemented
196#11718367C2211yescharacteristic, complemented
197#11718366C2211yescharacteristic, complemented
198#11718366C2211yescharacteristic, complemented
199D13×#97C2211yescharacteristic, complemented
200#11718363C2211yescharacteristic, complemented
201#11718362C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C22×D4×C13C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C23×C4×C13—21no—
206C23×C4×C13—21no—
207C22×C22⋊D13—21no—
208C22×C22⋊D13—21no—
209C22×C22⋊D13—21no—
210C2×#6129C2311yescharacteristic
211C2×D4×D13C2311yescharacteristic
212C2×D4×D13C2311yescharacteristic
213C2×D4×D13C2311yescharacteristic
214C2×#6127—21no—
215C2×#6127—21no—
216C2×#6127—21no—
217C2×#6127—21no—
218C2×#6127—21no—
219C2×#6127—21no—
220C2×#6127—21no—
221C2×#6127—21no—
222C2×#6127—48no—
223C2×#6127D411yescharacteristic
224C22×D52—21no—
225C22×C4×D13—21no—
226C22×C4×D13—21no—
227C22×C4×D13—21no—
228C22×Dic26—21no—
229C2×C13×D8—24no—
230C2×C13×D8C2311yescharacteristic
231C2×C13×D8C2311yescharacteristic
232C2×C13×D8C2311yescharacteristic
233C2×C13×D8C2311yescharacteristic
234C22×C8×C13C2311yescharacteristic
235C22×C8×C13C2311yescharacteristic
236C4×D4×C13—21no—
237C4×D4×C13—21no—
238C4×D4×C13—21no—
239C4×D4×C13—21no—
240C4×D4×C13C2311yescharacteristic
241C4×D4×C13C2311yescharacteristic
242C4×D4×C13C2311yescharacteristic
243C4×D4×C13C2311yescharacteristic
244C4×D4×C13C2311yescharacteristic
245C4×D4×C13C2311yescharacteristic
246C4×D4×C13C2311yescharacteristic
247C4×D4×C13C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4—21no—
251C2×C13×C22⋊C4—21no—
252C2×C42×C13C2311yescharacteristic
253#88207—21no—
254#88207—21no—
255#88207—21no—
256#88207—21no—
257C2×C22⋊Dic13—21no—
258#88194C2311yescharacteristic
259#88194C2311yescharacteristic
260#88194C2311yescharacteristic
261#88193—21no—
262#88193—21no—
263#88193—21no—
264#88193—21no—
265#88192C2311yescharacteristic
266#88192C2311yescharacteristic
267#88192C2311yescharacteristic
268#88192C2311yescharacteristic
269#88191—21no—
270#88191—21no—
271#88191—21no—
272#88190C2311yescharacteristic
273#88189—21no—
274D4×Dic13C2311yescharacteristic
275D4×Dic13C2311yescharacteristic
276D4×Dic13C2311yescharacteristic
277D4×Dic13C2311yescharacteristic
278C2×#6105C2311yescharacteristic
279C2×#6105C2311yescharacteristic
280C2×#6104C2311yescharacteristic
281C2×#6104C2311yescharacteristic
282C2×#6104C2311yescharacteristic
283C2×#6104C2311yescharacteristic
284C2×#6104C2311yescharacteristic
285C2×#6104C2311yescharacteristic
286#88184—21no—
287#88184—21no—
288#88184—21no—
289#88184—21no—
290#88184—21no—
291#88184C2311yescharacteristic
292#88184C2311yescharacteristic
293#88184C2311yescharacteristic
294#88183—21no—
295#88183—21no—
296#88183—21no—
297#88183—21no—
298#88183—21no—
299C4×C22⋊D13—21no—
300C4×C22⋊D13—21no—
301C4×C22⋊D13—21no—
302C4×C22⋊D13—21no—
303C4×C22⋊D13—21no—
304C4×C22⋊D13—21no—
305C4×C22⋊D13—21no—
306C4×C22⋊D13—21no—
307C4×C22⋊D13—21no—
308C4×C22⋊D13—21no—
309C4×C22⋊D13—21no—
310C4×C22⋊D13—21no—
311C4×C22⋊D13—21no—
312C4×C22⋊D13D411yescharacteristic
313C4×C22⋊D13D411yescharacteristic
314C4×C22⋊D13C2311yescharacteristic
315C4×C22⋊D13C2311yescharacteristic
316C2×#6103—21no—
317#88180—21no—
318#88180D411yescharacteristic
319#88178—21no—
320#88178—21no—
321#88178—21no—
322#88178—21no—
323#88178C2311yescharacteristic
324C2×#6101—21no—
325C2×C4×Dic13—21no—
326#88165—24no—
327D8×D13—24no—
328C2×D104C2311yescharacteristic
329C2×D104C2311yescharacteristic
330C2×#6095C2311yescharacteristic
331C2×#6095C2311yescharacteristic
332C2×#6094C2311yescharacteristic
333C2×#6094C2311yescharacteristic
334C2×C8×D13C2311yescharacteristic
335C2×C8×D13C2311yescharacteristic
336#88152—21no—
337#88151C2311yescharacteristic
338#88150—21no—
339#88150—21no—
340#88150—21no—
341#88149C2311yescharacteristic
342#88149C2311yescharacteristic
343#88149C2311yescharacteristic
344#88148—21no—
345#88148—21no—
346#88148—21no—
347#88147C2311yescharacteristic
348#88147C2311yescharacteristic
349#88147C2311yescharacteristic
350#88146C2311yescharacteristic
351C4⋊C4×D13C2311yescharacteristic
352C4⋊C4×D13C2311yescharacteristic
353C4⋊C4×D13C2311yescharacteristic
354#88144C2311yescharacteristic
355#88143—21no—
356#88142C2311yescharacteristic
357#88142C2311yescharacteristic
358#88142C2311yescharacteristic
359#88141C2311yescharacteristic
360#88140—21no—
361#88139—21no—
362#88139—21no—
363#88139—21no—
364#88139—21no—
365#88138—21no—
366#88138—21no—
367#88138—21no—
368#88138—21no—
369#88138—21no—
370#88138—21no—
371#88137—21no—
372#88137—21no—
373#88137—21no—
374#88137—21no—
375#88136—21no—
376#88136—21no—
377#88136—21no—
378#88135—21no—
379#88135—21no—
380#88135—21no—
381#88135—21no—
382C22⋊C4×D13—21no—
383C22⋊C4×D13—21no—
384C22⋊C4×D13—21no—
385#88133—21no—
386#88133—21no—
387#88132—21no—
388#88132—21no—
389#88132—21no—
390#88132—21no—
391#88131—21no—
392#88130—21no—
393#88129—21no—
394#88129C2311yescharacteristic
395#88128C2311yescharacteristic
396C4×D52—21no—
397C4×D52D411yescharacteristic
398C4×D52C2311yescharacteristic
399C4×D52C2311yescharacteristic
400C4×D52C2311yescharacteristic
401C4×D52C2311yescharacteristic
402#88126—21no—
403#88126D411yescharacteristic
404#88126D411yescharacteristic
405C42×D13C2311yescharacteristic
406C42×D13C2311yescharacteristic
407#88124C2311yescharacteristic
408#88123C2311yescharacteristic
409C4×Dic26D411yescharacteristic
410C4×Dic26C2311yescharacteristic
411C4×Dic26C2311yescharacteristic
412C13×#106C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×#106C2311yescharacteristic
416C13×#102C2311yescharacteristic
417C13×#102C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#97C2311yescharacteristic
425C13×#97C2311yescharacteristic
426C13×#97C2311yescharacteristic
427C13×#97C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435#88072C2311yescharacteristic
436C22⋊#1055C2311yescharacteristic
437C22⋊#1055C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88060C2311yescharacteristic
445#88060C2311yescharacteristic
446#88060C2311yescharacteristic
447#88060C2311yescharacteristic
448#88058C2311yescharacteristic
449#88058C2311yescharacteristic
450#88057C2311yescharacteristic
451#88057C2311yescharacteristic
452#88056C2311yescharacteristic
453#88056C2311yescharacteristic
454#88055C2311yescharacteristic
455#88055C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459#88054C2311yescharacteristic
460C8×Dic13C2311yescharacteristic
461C8×Dic13C2311yescharacteristic
462#88050C2311yescharacteristic
463#88050C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88048C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478C4⋊#1055C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480#88043C2311yescharacteristic
481#88043C2311yescharacteristic
482#61451—131nomaximal, Sylow
483C24×C13—21no—
484C24×C13—21no—
485C23×D13—21no—
486C23×D13—21no—
487C23×D13—21no—
488C2×D4×C13—22no—
489C2×D4×C13—22no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—41no—
493C2×D4×C13—41no—
494C2×D4×C13C2411yescharacteristic
495C2×D4×C13C2411yescharacteristic
496C2×D4×C13C2411yescharacteristic
497C2×D4×C13C2411yescharacteristic
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13—21no—
503C22×C4×C13—21no—
504C22×C4×C13—21no—
505C22×C4×C13—21no—
506C22×C4×C13—21no—
507C22×C4×C13—21no—
508C22×C4×C13—44no—
509C22×C4×C13—82no—
510C22×C4×C13C2×D411yescharacteristic
511C22×C4×C13C2×D411yescharacteristic
512C22×C4×C13C2411yescharacteristic
513C2×C22⋊D13—21no—
514C2×C22⋊D13—21no—
515C2×C22⋊D13—21no—
516C2×C22⋊D13—21no—
517C2×C22⋊D13—21no—
518C2×C22⋊D13—21no—
519C2×C22⋊D13—21no—
520C2×C22⋊D13—21no—
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—44no—
531C2×C22⋊D13—44no—
532C2×C22⋊D13—44no—
533C2×C22⋊D13C2×D411yescharacteristic
534C2×C22⋊D13C2×D411yescharacteristic
535C22×Dic13—21no—
536C22×Dic13—21no—
537C22×Dic13—21no—
538C22×Dic13—21no—
539C22×Dic13—21no—
540#6129—22no—
541#6129—41no—
542D4×D13—22no—
543D4×D13—22no—
544D4×D13—22no—
545D4×D13—41no—
546D4×D13—41no—
547D4×D13—41no—
548#6127—24no—
549#6127—44no—
550#6127—44no—
551#6127—44no—
552#6127—44no—
553#6127—44no—
554#6127—44no—
555#6127—44no—
556#6127—82no—
557C2×D52—21no—
558C2×D52—21no—
559C2×D52—21no—
560C2×D52—21no—
561C2×D52—21no—
562C2×D52—44no—
563C2×D52C2×D411yescharacteristic
564C2×D52C2411yescharacteristic
565C2×D52C2411yescharacteristic
566C2×D52C2411yescharacteristic
567C2×C4×D13—21no—
568C2×C4×D13—21no—
569C2×C4×D13—21no—
570C2×C4×D13—21no—
571C2×C4×D13—21no—
572C2×C4×D13—21no—
573C2×C4×D13—21no—
574C2×C4×D13—21no—
575C2×C4×D13—21no—
576C2×C4×D13—44no—
577C2×C4×D13—44no—
578C2×C4×D13—82no—
579C2×C4×D13C2×D411yescharacteristic
580C2×C4×D13C2×D411yescharacteristic
581C2×C4×D13C2×D411yescharacteristic
582C2×C4×D13C2×D411yescharacteristic
583C2×C4×D13C2411yescharacteristic
584C2×C4×D13C2411yescharacteristic
585C2×Dic26—21no—
586C2×Dic26—21no—
587C2×Dic26—21no—
588C2×Dic26—21no—
589C2×Dic26—44no—
590C2×Dic26C2×D411yescharacteristic
591C2×Dic26C2411yescharacteristic
592C13×D8—22no—
593C13×D8—22no—
594C13×D8—22no—
595C13×D8#4114yescomplemented
596C2×C8×C13—22no—
597C2×C8×C13—41no—
598C2×C8×C13C2411yescharacteristic
599C2×C8×C13C2411yescharacteristic
600C2×C8×C13C2411yescharacteristic
601C2×C8×C13C2411yescharacteristic
602C13×C4⋊C4—21no—
603C13×C4⋊C4—21no—
604C13×C4⋊C4C2411yescharacteristic
605C13×C4⋊C4C2411yescharacteristic
606C13×C4⋊C4C2411yescharacteristic
607C13×C4⋊C4C2411yescharacteristic
608C13×C22⋊C4—21no—
609C13×C22⋊C4—21no—
610C13×C22⋊C4—21no—
611C13×C22⋊C4—21no—
612C13×C22⋊C4—21no—
613C13×C22⋊C4—21no—
614C13×C22⋊C4—21no—
615C13×C22⋊C4—21no—
616C42×C13C2×D411yescharacteristic
617C42×C13C2×D411yescharacteristic
618C42×C13C2411yescharacteristic
619C42×C13C2411yescharacteristic
620C22⋊Dic13—21no—
621C22⋊Dic13—21no—
622C22⋊Dic13—21no—
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626C22⋊Dic13—21no—
627C22⋊Dic13—21no—
628C22⋊Dic13—21no—
629C22⋊Dic13—21no—
630C22⋊Dic13—21no—
631C22⋊Dic13C2×D411yescharacteristic
632C22⋊Dic13C2×D411yescharacteristic
633#6105—22no—
634#6105—41no—
635#6104—22no—
636#6104—22no—
637#6104—22no—
638#6104—41no—
639#6104—41no—
640#6104—41no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650#6103—21no—
651#6103—21no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103—21no—
656#6103—21no—
657#6103C2×D411yescharacteristic
658#6103C2×D411yescharacteristic
659#6103C2×D411yescharacteristic
660#6103C2×D411yescharacteristic
661C4⋊Dic13—21no—
662C4⋊Dic13—21no—
663C4⋊Dic13—21no—
664C4⋊Dic13C2×D411yescharacteristic
665C4⋊Dic13C2×D411yescharacteristic
666C4⋊Dic13C2411yescharacteristic
667C4⋊Dic13C2411yescharacteristic
668C4⋊Dic13C2411yescharacteristic
669C4⋊Dic13C2411yescharacteristic
670#6101—21no—
671#6101—21no—
672#6101—21no—
673#6101—21no—
674#6101—21no—
675#6101—21no—
676#6101—21no—
677#6101—21no—
678#6101—21no—
679#6101—21no—
680#6101—21no—
681#6101—21no—
682#6101C2×D411yescharacteristic
683#6101C2×D411yescharacteristic
684#6101C2×D411yescharacteristic
685#6101C2×D411yescharacteristic
686C4×Dic13—21no—
687C4×Dic13—21no—
688C4×Dic13—21no—
689C4×Dic13C2×D411yescharacteristic
690C4×Dic13C2×D411yescharacteristic
691C4×Dic13C2×D411yescharacteristic
692C4×Dic13C2×D411yescharacteristic
693C4×Dic13C2411yescharacteristic
694C4×Dic13C2411yescharacteristic
695C2×#1055C2411yescharacteristic
696C2×#1055C2411yescharacteristic
697C2×#1055C2411yescharacteristic
698C2×#1055C2411yescharacteristic
699D104—22no—
700D104—41no—
701#6095—22no—
702#6095—41no—
703#6094—22no—
704#6094—41no—
705C8×D13—22no—
706C8×D13—41no—
707#3481—131no—
708D4×#41—131no—
709#3399—131no—
710#3384—131no—
711#3373—131no—
712#3366—131no—
713#3345—131no—
714#3345—131no—
715#3335—131no—
716#3318—131no—
717#3318—131no—
718#3306—131no—
719#3306—131no—
720#3295—131no—
721#3294—131no—
722D4×D8—131no—
723#3264—131no—
724#3264—131no—
725#3184—131no—
726#3180—131no—
727#3180—131no—
728#3115—131no—
729#3114—131no—
730#3114—131no—
731#3109—131no—
732#3109—131no—
733#3109—131no—
734#2970—131no—
735C4×AGL(1,ℤ/8)—131no—
736C2×#442—131no—
737C2×#442D1311yescharacteristic, complemented
738C23×C13—21no—
739C23×C13—21no—
740C23×C13—21no—
741C23×C13—21no—
742C23×C13—42no—
743C23×C13—42no—
744C23×C13—42no—
745C23×C13—42no—
746C23×C13—81no—
747C23×C13—81no—
748C23×C13C22×D411yescharacteristic
749C22×D13—21no—
750C22×D13—21no—
751C22×D13—21no—
752C22×D13—42no—
753C22×D13—42no—
754C22×D13—42no—
755C22×D13—42no—
756C22×D13—42no—
757C22×D13—42no—
758C22×D13—81no—
759C22×D13—81no—
760C22×D13—81no—
761C22×D13C22×D411yescharacteristic
762C22×D13C22×D411yescharacteristic
763D4×C13—21no—
764D4×C13—21no—
765D4×C13—21no—
766D4×C13—21no—
767D4×C13—21no—
768D4×C13—21no—
769D4×C13—42no—
770D4×C13—42no—
771D4×C13C2×#4112yes—
772D4×C13C2×#4112yescomplemented
773C2×C4×C13—22no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—21no—
777C2×C4×C13—21no—
778C2×C4×C13—21no—
779C2×C4×C13—21no—
780C2×C4×C13—41no—
781C2×C4×C13—42no—
782C2×C4×C13—42no—
783C2×C4×C13—42no—
784C2×C4×C13—42no—
785C2×C4×C13—42no—
786C2×C4×C13—42no—
787C2×C4×C13—42no—
788C2×C4×C13—81no—
789C2×C4×C13—81no—
790C2×C4×C13—81no—
791C2×C4×C13C22×D411yescharacteristic
792C2×C4×C13C22×D411yescharacteristic
793C2×C4×C13C22×D411yescharacteristic
794C2×C4×C13C22×D411yescharacteristic
795C2×C4×C13C22×D411yescharacteristic
796C2×C4×C13C2511yescharacteristic
797C22⋊D13—22no—
798C22⋊D13—42no—
799C22⋊D13—42no—
800C22⋊D13—42no—
801C22⋊D13—42no—
802C22⋊D13—42no—
803C22⋊D13—42no—
804C22⋊D13—42no—
805C22⋊D13—42no—
806C22⋊D13—42no—
807C22⋊D13—42no—
808C22⋊D13—42no—
809C22⋊D13—42no—
810C22⋊D13—42no—
811C22⋊D13—81no—
812C22⋊D13—81no—
813C22⋊D13—81no—
814C22⋊D13—81no—
815C22⋊D13AGL(1,ℤ/8)14yescomplemented
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—21no—
820C2×Dic13—21no—
821C2×Dic13—42no—
822C2×Dic13—42no—
823C2×Dic13—42no—
824C2×Dic13—42no—
825C2×Dic13—81no—
826C2×Dic13C22×D411yescharacteristic
827C2×Dic13C22×D411yescharacteristic
828C2×Dic13C22×D411yescharacteristic
829C2×Dic13C22×D411yescharacteristic
830C2×Dic13C22×D411yescharacteristic
831C2×Dic13C22×D411yescharacteristic
832D52—22no—
833D52—21no—
834D52—21no—
835D52—21no—
836D52—21no—
837D52—21no—
838D52—21no—
839D52—42no—
840D52—42no—
841D52—42no—
842D52—81no—
843D52—81no—
844C4×D13—22no—
845C4×D13—21no—
846C4×D13—21no—
847C4×D13—21no—
848C4×D13—21no—
849C4×D13—22no—
850C4×D13—41no—
851C4×D13—41no—
852C4×D13—42no—
853C4×D13—42no—
854C4×D13—42no—
855C4×D13—42no—
856C4×D13—42no—
857C4×D13—42no—
858C4×D13—42no—
859C4×D13—81no—
860C4×D13—81no—
861Dic26—22no—
862Dic26—21no—
863Dic26—21no—
864Dic26—42no—
865Dic26—42no—
866Dic26—42no—
867Dic26—81no—
868C8×C13—21no—
869C8×C13—21no—
870C8×C13—21no—
871C8×C13C2×#4112yescomplemented
872#1055—21no—
873#1055—21no—
874#1055—21no—
875#1055—21no—
876C22×#41—261no—
877C2×AGL(1,ℤ/8)—131no—
878C22×D8—131no—
879C22×D8C2×D1311yescharacteristic
880#559—131no—
881#554—131no—
882#554—131no—
883#553—131no—
884#553—131no—
885#553—261no—
886#551—261no—
887#551—261no—
888#550—131no—
889D4×Q8—131no—
890#548—261no—
891#547—131no—
892#547—131no—
893#547—131no—
894#546—131no—
895#546—131no—
896#546—261no—
897#546—261no—
898#546—261no—
899#546—261no—
900D42—131no—
901D42—131no—
902D42—131no—
903D42—131no—
904#532—131no—
905#532—131no—
906#532—131no—
907#532—131no—
908#529—131no—
909#529—131no—
910#529—261no—
911#525—261no—
912#525—261no—
913#525—261no—
914#525—261no—
915#525—261no—
916C4×#41—131no—
917C4×#41—131no—
918C2×C4×D4—131no—
919C2×C4×D4—131no—
920C2×C4×D4—131no—
921C2×C4×D4—261no—
922C2×C4×D4C2×D1311yescharacteristic, complemented
923C2×C4×D4C2×D1311yescharacteristic, complemented
924#501—131no—
925#501—131no—
926#498—131no—
927#496—131no—
928#496—131no—
929#493—131no—
930#490—131no—
931#490—131no—
932#489—131no—
933#489—131no—
934#486—131no—
935#486—131no—
936#483—131no—
937#483—131no—
938#482—131no—
939#482—131no—
940#481—131no—
941#481—131no—
942#481—131no—
943#481—131no—
944#481—131no—
945#481—131no—
946#480—131no—
947#480—131no—
948#478—131no—
949#478—131no—
950#478—131no—
951#478—131no—
952#476—131no—
953#476—131no—
954#476—131no—
955#476—131no—
956#476—131no—
957#476—131no—
958#475—131no—
959#474—131no—
960#469—131no—
961#469—131no—
962#469—131no—
963#469—131no—
964#466—131no—
965#466—131no—
966#466—131no—
967#466—131no—
968#465—131no—
969#465—131no—
970#465—131no—
971#465—131no—
972#463—131no—
973#463—131no—
974#463—131no—
975#463—131no—
976#460—131no—
977#459—131no—
978#459—131no—
979#459—131no—
980#459—131no—
981#459—131no—
982#459—131no—
983#459—131no—
984#450—131no—
985#450—131no—
986#449—131no—
987#449—131no—
988#447—131no—
989#447—131no—
990#447—131no—
991#447—131no—
992#447—131no—
993#447—131no—
994#447—131no—
995#447—131no—
996#446—131no—
997#446—131no—
998#442—131no—
999#442—131no—
1000#442—131no—
1001#442—131no—
1002#442—131no—
1003#442—131no—
1004#442—131no—
1005#442—131no—
1006#442—131no—
1007#442—131no—
1008#442—131no—
1009#442—131no—
1010#442C2×D1311yescharacteristic
1011#442C2×D1311yescharacteristic
1012#442C2×D1311yescharacteristic, complemented
1013#442C2×D1311yescharacteristic, complemented
1014#442C2×D1311yescharacteristic, complemented
1015#442C2×D1311yescharacteristic, complemented
1016#442C2×D1311yescharacteristic, complemented
1017#442C2×D1311yescharacteristic, complemented
1018#440—131no—
1019#440—131no—
1020#440—131no—
1021#440—131no—
1022C4×SD16—131no—
1023C4×SD16—131no—
1024C4×D8—131no—
1025C4×D8—131no—
1026#435—131no—
1027#435—131no—
1028#435—131no—
1029#435—131no—
1030C8×D4—131no—
1031C8×D4—131no—
1032#432—131no—
1033#432—131no—
1034#432—131no—
1035#428—131no—
1036C2×#106—131no—
1037C2×#106C2×D1311yescharacteristic, complemented
1038#418—131no—
1039#417—131no—
1040C2×#102—131no—
1041C2×#102—131no—
1042C2×#102C2×D1311yescharacteristic, complemented
1043C2×#102C2×D1311yescharacteristic, complemented
1044C4×M16—131no—
1045C2×#97—131no—
1046C2×#97C2×D1311yescharacteristic, complemented
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—22no—
1050C22×C13—22no—
1051C22×C13—41no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13—41no—
1059C22×C13—41no—
1060C22×C13—41no—
1061C22×C13—84no—
1062C22×C13—84no—
1063C22×C13C2×AGL(1,ℤ/8)12yes—
1064C22×C13C23×D411yescharacteristic
1065C2×D13—21no—
1066C2×D13—21no—
1067C2×D13—21no—
1068C2×D13—21no—
1069C2×D13—21no—
1070C2×D13—41no—
1071C2×D13—41no—
1072C2×D13—41no—
1073C2×D13—41no—
1074C2×D13—41no—
1075C2×D13—41no—
1076C2×D13—41no—
1077C2×D13—41no—
1078C2×D13—41no—
1079C2×D13—84no—
1080C2×D13—84no—
1081C2×D13—84no—
1082C2×D13C2×AGL(1,ℤ/8)12yes—
1083C4×C13—21no—
1084C4×C13—21no—
1085C4×C13—21no—
1086C4×C13—21no—
1087C4×C13—21no—
1088C4×C13—41no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13—41no—
1092C4×C13C22×#4111yescharacteristic
1093C4×C13#58511yescharacteristic
1094Dic13—21no—
1095Dic13—21no—
1096Dic13—21no—
1097Dic13—21no—
1098Dic13—21no—
1099Dic13—41no—
1100Dic13—41no—
1101Dic13—41no—
1102Dic13—41no—
1103Dic13—41no—
1104Dic13C2×AGL(1,ℤ/8)12yes—
1105C2×#41—131no—
1106C2×#41—131no—
1107C2×#41—261no—
1108C2×#41—261no—
1109C2×#41—261no—
1110C2×#41—261no—
1111C2×#41—261no—
1112C2×#41—261no—
1113C2×#41—261no—
1114C2×#41—261no—
1115C2×#41—528no—
1116C22×Q8—261no—
1117C22×D4—131no—
1118C22×D4—131no—
1119C22×D4—131no—
1120C22×D4—261no—
1121C22×D4—261no—
1122C22×D4—261no—
1123C22×D4—261no—
1124C22×D4C22×D1311yescharacteristic
1125C22×D4C22×D1311yescharacteristic
1126C23×C4—21no—
1127C23×C4—21no—
1128C23×C4—261no—
1129C23×C4—261no—
1130C23×C4—261no—
1131AGL(1,ℤ/8)—264no—
1132C2×SD16—131no—
1133C2×SD16—131no—
1134C2×SD16—131no—
1135C2×SD16—131no—
1136C2×D8—24no—
1137C2×D8—131no—
1138C2×D8—131no—
1139C2×D8—131no—
1140C2×D8—131no—
1141C2×D8—131no—
1142C2×D8—131no—
1143C2×D8—131no—
1144C2×D8—131no—
1145C2×D8—264no—
1146C2×D8C22×D1311yescharacteristic
1147C2×D8C22×D1311yescharacteristic
1148C2×D8C22×D1311yescharacteristic
1149C2×D8C22×D1311yescharacteristic
1150C2×M16—131no—
1151C2×M16—131no—
1152C22×C8—131no—
1153C22×C8—131no—
1154C22×C8C22×D1311yescharacteristic
1155C22×C8C22×D1311yescharacteristic
1156C4⋊Q8—131no—
1157C4⋊Q8—131no—
1158C4⋊Q8—131no—
1159C4⋊Q8—131no—
1160#127—131no—
1161#127—131no—
1162#127—131no—
1163#127—131no—
1164#126—261no—
1165#126—261no—
1166#126—261no—
1167#126—261no—
1168#125—131no—
1169#125—131no—
1170#125—261no—
1171#124—131no—
1172#124—131no—
1173#124—261no—
1174#124—261no—
1175#124—261no—
1176#124—261no—
1177#124—261no—
1178#123—261no—
1179#123—261no—
1180#123—261no—
1181#123—261no—
1182#123—261no—
1183#123—261no—
1184#123—261no—
1185#123—261no—
1186#123—261no—
1187#123—261no—
1188#123—261no—
1189#123—261no—
1190#123—261no—
1191#123—261no—
1192C22⋊Q8—131no—
1193C22⋊Q8—131no—
1194C22⋊Q8—261no—
1195C22⋊Q8—261no—
1196C22⋊Q8—261no—
1197C22⋊Q8—261no—
1198C22⋊Q8—261no—
1199C22⋊Q8—261no—
1200C22⋊Q8—261no—
1201C22⋊Q8—261no—
1202C22⋊Q8—261no—
1203C22⋊Q8—261no—
1204C22⋊Q8—261no—
1205#121—131no—
1206#121—131no—
1207#121—131no—
1208#121—131no—
1209#121—131no—
1210#121—131no—
1211#121—131no—
1212#121—131no—
1213#121—131no—
1214#121—131no—
1215#121—261no—
1216#121—261no—
1217#121—261no—
1218#121—261no—
1219#121—261no—
1220#121—261no—
1221#121—261no—
1222#121—261no—
1223#121—261no—
1224#121—261no—
1225#121—261no—
1226#121—261no—
1227#121—261no—
1228#121—261no—
1229#121—261no—
1230#120—261no—
1231#120—261no—
1232#120—261no—
1233#120—261no—
1234#120—261no—
1235#120—261no—
1236#120—261no—
1237#120—261no—
1238#120—261no—
1239#120—261no—
1240C4×Q8—131no—
1241C4×Q8—131no—
1242C4×Q8—131no—
1243C4×Q8—131no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—131no—
1249C4×D4—131no—
1250C4×D4—131no—
1251C4×D4—131no—
1252C4×D4—131no—
1253C4×D4—131no—
1254C4×D4—131no—
1255C4×D4—131no—
1256C4×D4—131no—
1257C4×D4—131no—
1258C4×D4—131no—
1259C4×D4—131no—
1260C4×D4—131no—
1261C4×D4—131no—
1262C4×D4—131no—
1263C4×D4—131no—
1264C4×D4—261no—
1265C4×D4—261no—
1266C4×D4—261no—
1267C4×D4—261no—
1268C4×D4—261no—
1269C4×D4—261no—
1270C4×D4—261no—
1271C4×D4—261no—
1272C4×D4—261no—
1273C4×D4—261no—
1274C4×D4—261no—
1275C4×D4—261no—
1276C4×D4—261no—
1277C4×D4—261no—
1278C4×D4—261no—
1279C4×D4—261no—
1280C4×D4—261no—
1281C4×D4—261no—
1282C4×D4C22×D1311yescharacteristic
1283C4×D4C22×D1311yescharacteristic
1284C4×D4C22×D1311yescharacteristic
1285C4×D4C22×D1311yescharacteristic
1286C4×D4C22×D1311yescharacteristic
1287C4×D4C22×D1311yescharacteristic
1288C4×D4C22×D1311yescharacteristic
1289C4×D4C22×D1311yescharacteristic
1290#117—131no—
1291#117—131no—
1292#117—131no—
1293#117—131no—
1294#117—261no—
1295#117—261no—
1296#117—261no—
1297C2×C4⋊C4—131no—
1298C2×C4⋊C4—131no—
1299C2×C4⋊C4—131no—
1300C2×C4⋊C4—261no—
1301C2×C4⋊C4C22×D1311yescharacteristic
1302C2×C4⋊C4C22×D1311yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—261no—
1306C2×C22⋊C4—261no—
1307C2×C22⋊C4—261no—
1308C2×C22⋊C4—261no—
1309C2×C22⋊C4—261no—
1310C2×C42—131no—
1311C2×C42—131no—
1312C2×C42—261no—
1313C2×C42C22×D1311yescharacteristic
1314#107—131no—
1315#107—131no—
1316#107—131no—
1317#107—131no—
1318#106—131no—
1319#106—131no—
1320#106—131no—
1321#106—131no—
1322#106—131no—
1323#106—131no—
1324#106—131no—
1325#106—131no—
1326#106C22×D1311yescharacteristic
1327#106C22×D1311yescharacteristic
1328#106C22×D1311yescharacteristic
1329#106C22×D1311yescharacteristic
1330C4⋊C8—131no—
1331C4⋊C8—131no—
1332C4⋊C8—131no—
1333C4⋊C8—131no—
1334C4⋊C8—131no—
1335C4⋊C8—131no—
1336#103—131no—
1337#103—131no—
1338#103—131no—
1339#103—131no—
1340#102—131no—
1341#102—131no—
1342#102—131no—
1343#102—131no—
1344#102—131no—
1345#102—131no—
1346#102—131no—
1347#102—131no—
1348#102—131no—
1349#102—131no—
1350#102—131no—
1351#102—131no—
1352#102—131no—
1353#102—131no—
1354#102—131no—
1355#102—131no—
1356#102—131no—
1357#102—131no—
1358#102—131no—
1359#102—131no—
1360#102C22×D1311yescharacteristic
1361#102C22×D1311yescharacteristic
1362#102C22×D1311yescharacteristic
1363#102C22×D1311yescharacteristic
1364#102C22×D1311yescharacteristic
1365#102C22×D1311yescharacteristic
1366#102C22×D1311yescharacteristic
1367#102C22×D1311yescharacteristic
1368C22⋊C8—131no—
1369C22⋊C8—131no—
1370C22⋊C8—131no—
1371C22⋊C8—131no—
1372C22⋊C8—131no—
1373C22⋊C8—131no—
1374#97—131no—
1375#97—131no—
1376#97—131no—
1377#97—131no—
1378#97C22×D1311yescharacteristic
1379#97C22×D1311yescharacteristic
1380#97C22×D1311yescharacteristic
1381#97C22×D1311yescharacteristic
1382C4×C8—131no—
1383C4×C8—131no—
1384C2×C13—22no—
1385C2×C13—42no—
1386C2×C13—42no—
1387C2×C13—81no—
1388C2×C13—81no—
1389C2×C13D4×#4111yescharacteristic
1390C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1391C2×C13#358511yescharacteristic
1392D13—22no—
1393D13—41no—
1394D13—81no—
1395D13—81no—
1396D13—81no—
1397C24—21no—
1398C24—21no—
1399C24—261no—
1400C24—261no—
1401C24—261no—
1402#41—264no—
1403#41—262no—
1404#41—524no—
1405#41—524no—
1406#41—524no—
1407#41—524no—
1408#41—524no—
1409#41—524no—
1410#41—524no—
1411#41—521no—
1412#41—1042no—
1413C2×Q8—131no—
1414C2×Q8—131no—
1415C2×Q8—261no—
1416C2×Q8—261no—
1417C2×Q8—261no—
1418C2×Q8—261no—
1419C2×Q8—524no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—131no—
1427C2×D4—131no—
1428C2×D4—131no—
1429C2×D4—131no—
1430C2×D4—131no—
1431C2×D4—131no—
1432C2×D4—261no—
1433C2×D4—261no—
1434C2×D4—261no—
1435C2×D4—261no—
1436C2×D4—261no—
1437C2×D4—261no—
1438C2×D4—261no—
1439C2×D4—261no—
1440C2×D4—261no—
1441C2×D4—261no—
1442C2×D4—261no—
1443C2×D4—261no—
1444C2×D4—262no—
1445C2×D4—262no—
1446C2×D4—262no—
1447C2×D4—261no—
1448C2×D4—261no—
1449C2×D4—261no—
1450C2×D4—261no—
1451C2×D4—261no—
1452C2×D4—261no—
1453C2×D4—261no—
1454C2×D4—261no—
1455C2×D4—261no—
1456C2×D4—261no—
1457C2×D4—524no—
1458C2×D4—521no—
1459C2×D4—521no—
1460C2×D4—521no—
1461C2×D4—524no—
1462C2×D4—524no—
1463C2×D4—524no—
1464C2×D4C23×D1311yescharacteristic
1465C2×D4C23×D1311yescharacteristic
1466C2×D4C23×D1311yescharacteristic
1467C2×D4C23×D1311yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—44no—
1479C22×C4—82no—
1480C22×C4—131no—
1481C22×C4—131no—
1482C22×C4—131no—
1483C22×C4—131no—
1484C22×C4—131no—
1485C22×C4—131no—
1486C22×C4—261no—
1487C22×C4—261no—
1488C22×C4—261no—
1489C22×C4—261no—
1490C22×C4—261no—
1491C22×C4—261no—
1492C22×C4—261no—
1493C22×C4—261no—
1494C22×C4—261no—
1495C22×C4—261no—
1496C22×C4—261no—
1497C22×C4—261no—
1498C22×C4—261no—
1499C22×C4—261no—
1500C22×C4—524no—
1501C22×C4—524no—
1502C22×C4—1042no—
1503C22×C4D4×D1311yescharacteristic
1504C22×C4D4×D1311yescharacteristic
1505C22×C4C23×D1311yescharacteristic
1506SD16—262no—
1507SD16—262no—
1508SD16—521no—
1509SD16—521no—
1510D8—22no—
1511D8—22no—
1512D8—22no—
1513D8—262no—
1514D8—262no—
1515D8—262no—
1516D8—262no—
1517D8—521no—
1518D8—521no—
1519D8—521no—
1520D8—521no—
1521D8#612714yescomplemented
1522M16—262no—
1523M16—521no—
1524C2×C8—22no—
1525C2×C8—41no—
1526C2×C8—131no—
1527C2×C8—131no—
1528C2×C8—131no—
1529C2×C8—131no—
1530C2×C8—262no—
1531C2×C8—521no—
1532C2×C8C23×D1311yescharacteristic
1533C2×C8C23×D1311yescharacteristic
1534C2×C8C23×D1311yescharacteristic
1535C2×C8C23×D1311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—131no—
1539C4⋊C4—131no—
1540C4⋊C4—131no—
1541C4⋊C4—131no—
1542C4⋊C4—131no—
1543C4⋊C4—131no—
1544C4⋊C4—131no—
1545C4⋊C4—131no—
1546C4⋊C4—131no—
1547C4⋊C4—131no—
1548C4⋊C4—261no—
1549C4⋊C4—261no—
1550C4⋊C4—261no—
1551C4⋊C4—261no—
1552C4⋊C4—261no—
1553C4⋊C4—261no—
1554C4⋊C4—261no—
1555C4⋊C4—261no—
1556C4⋊C4—261no—
1557C4⋊C4—261no—
1558C4⋊C4—261no—
1559C4⋊C4—261no—
1560C4⋊C4—261no—
1561C4⋊C4—261no—
1562C4⋊C4—261no—
1563C4⋊C4C23×D1311yescharacteristic
1564C4⋊C4C23×D1311yescharacteristic
1565C4⋊C4C23×D1311yescharacteristic
1566C4⋊C4C23×D1311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—131no—
1576C22⋊C4—131no—
1577C22⋊C4—131no—
1578C22⋊C4—131no—
1579C22⋊C4—131no—
1580C22⋊C4—131no—
1581C22⋊C4—261no—
1582C22⋊C4—261no—
1583C22⋊C4—261no—
1584C22⋊C4—261no—
1585C22⋊C4—261no—
1586C22⋊C4—261no—
1587C22⋊C4—261no—
1588C22⋊C4—261no—
1589C22⋊C4—261no—
1590C22⋊C4—261no—
1591C22⋊C4—261no—
1592C22⋊C4—261no—
1593C22⋊C4—261no—
1594C22⋊C4—261no—
1595C22⋊C4—261no—
1596C22⋊C4—261no—
1597C22⋊C4—261no—
1598C22⋊C4—261no—
1599C22⋊C4—261no—
1600C22⋊C4—261no—
1601C22⋊C4—261no—
1602C22⋊C4—261no—
1603C22⋊C4—261no—
1604C22⋊C4—261no—
1605C22⋊C4—261no—
1606C22⋊C4—261no—
1607C22⋊C4—261no—
1608C42—131no—
1609C42—131no—
1610C42—131no—
1611C42—131no—
1612C42—131no—
1613C42—131no—
1614C42—261no—
1615C42—261no—
1616C42—261no—
1617C42D4×D1311yescharacteristic
1618C42D4×D1311yescharacteristic
1619C42C23×D1311yescharacteristic
1620C42C23×D1311yescharacteristic
1621C13#6145111yescharacteristic, complemented, Sylow
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—81no—
1631C23—81no—
1632C23—131no—
1633C23—131no—
1634C23—261no—
1635C23—261no—
1636C23—261no—
1637C23—522no—
1638C23—522no—
1639C23—522no—
1640C23—522no—
1641C23—522no—
1642C23—522no—
1643C23—1041no—
1644C23—1041no—
1645C23—1041no—
1646C23C2×D4×D1311yescharacteristic
1647Q8—262no—
1648Q8—261no—
1649Q8—261no—
1650Q8—522no—
1651Q8—522no—
1652Q8—522no—
1653Q8—1041no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—42no—
1661D4—42no—
1662D4—134no—
1663D4—262no—
1664D4—262no—
1665D4—261no—
1666D4—261no—
1667D4—261no—
1668D4—261no—
1669D4—261no—
1670D4—261no—
1671D4—522no—
1672D4—522no—
1673D4—522no—
1674D4—522no—
1675D4—522no—
1676D4—522no—
1677D4—522no—
1678D4—522no—
1679D4—522no—
1680D4—522no—
1681D4—522no—
1682D4—522no—
1683D4—522no—
1684D4—522no—
1685D4—522no—
1686D4—522no—
1687D4—1041no—
1688D4—1041no—
1689D4—1041no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4C2×#612712yes—
1694D4C2×#612712yescomplemented
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—41no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—131no—
1714C2×C4—131no—
1715C2×C4—131no—
1716C2×C4—131no—
1717C2×C4—131no—
1718C2×C4—131no—
1719C2×C4—262no—
1720C2×C4—262no—
1721C2×C4—261no—
1722C2×C4—261no—
1723C2×C4—261no—
1724C2×C4—261no—
1725C2×C4—261no—
1726C2×C4—261no—
1727C2×C4—261no—
1728C2×C4—261no—
1729C2×C4—261no—
1730C2×C4—521no—
1731C2×C4—521no—
1732C2×C4—522no—
1733C2×C4—522no—
1734C2×C4—522no—
1735C2×C4—522no—
1736C2×C4—522no—
1737C2×C4—522no—
1738C2×C4—522no—
1739C2×C4—522no—
1740C2×C4—522no—
1741C2×C4—522no—
1742C2×C4—522no—
1743C2×C4—1041no—
1744C2×C4—1041no—
1745C2×C4—1041no—
1746C2×C4C2×D4×D1311yescharacteristic
1747C2×C4C2×D4×D1311yescharacteristic
1748C2×C4C2×D4×D1311yescharacteristic
1749C2×C4C2×D4×D1311yescharacteristic
1750C2×C4C2×D4×D1311yescharacteristic
1751C2×C4C24×D1311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—261no—
1756C8—261no—
1757C8—261no—
1758C8—261no—
1759C8C2×#612712yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—22no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—84no—
1775C22—84no—
1776C22—132no—
1777C22—261no—
1778C22—261no—
1779C22—261no—
1780C22—261no—
1781C22—261no—
1782C22—521no—
1783C22—521no—
1784C22—521no—
1785C22—521no—
1786C22—521no—
1787C22—521no—
1788C22—521no—
1789C22—521no—
1790C22—521no—
1791C22—1044no—
1792C22—1044no—
1793C22—1044no—
1794C22D13×AGL(1,ℤ/8)12yes—
1795C22C22×D4×D1311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—132no—
1806C4—261no—
1807C4—261no—
1808C4—261no—
1809C4—261no—
1810C4—261no—
1811C4—521no—
1812C4—521no—
1813C4—521no—
1814C4—521no—
1815C4—521no—
1816C4C22×#612711yescharacteristic
1817C4#1171964811yescharacteristic
1818C2—22no—
1819C2—42no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—262no—
1824C2—521no—
1825C2—1041no—
1826C2—1041no—
1827C2—1041no—
1828C2D4×#612711yescharacteristic
1829C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
1830C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#442C2
socleC22×C13C23×D4
hypercenterC2×#442D13
hypocenterC13#61451
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #13128440C2semidirect
2. D4×#6127C2semidirect
3. #13127879C2semidirect
4. #13127736C2semidirect
5. #13127629C2semidirect
6. #13127544C2semidirect
7. #13127311C2semidirect
8. #13127302C2semidirect
9. #13127189C2semidirect
10. #13126982C2semidirect
11. #13126973C2semidirect
12. #13126802C2semidirect
13. #13126793C2semidirect
14. #13126656C2semidirect
15. #13126645C2semidirect
16. D8×C22⋊D13C2semidirect
17. #13126318C2semidirect
18. #13126316C2semidirect
19. #13125571C2semidirect
20. #13125534C2semidirect
21. #13125532C2semidirect
22. #13124983C2semidirect
23. #13124974C2semidirect
24. #13124972C2semidirect
25. #13124927C2semidirect
26. #13124925C2semidirect
27. #13124925C2semidirect
28. #13123847C2semidirect
29. #13123647C2semidirect
30. D13×#442C2semidirect
31. C2×C13×#442C2semidirect
34. C2×C4×D4×C13C22semidirect
35. C2×C4×D4×C13C22semidirect
36. #11719511C22semidirect
38. D4×C22⋊D13C22semidirect
39. D4×C22⋊D13C22semidirect
45. #11719264C22semidirect
46. #11719263C22semidirect
47. #11719262C22semidirect
49. #11719259C22semidirect
50. #11719258C22semidirect
52. #11719256C22semidirect
54. D4×D52C22semidirect
55. #11719253C22semidirect
56. #11719253C22semidirect
57. #11719253C22semidirect
61. C4×D4×D13C22semidirect
62. C4×D4×D13C22semidirect
63. C4×D4×D13C22semidirect
65. #11719244C22semidirect
67. D4×Dic26C22semidirect
68. C4×#6129C22semidirect
69. #11719219C22semidirect
70. #11719216C22semidirect
72. #11719212C22semidirect
77. #11719184C22semidirect
78. #11719182C22semidirect
82. C13×#442C22semidirect
83. C13×#442C22semidirect
84. C13×#442C22semidirect
85. C13×#442C22semidirect
86. C13×#442C22semidirect
87. C13×#442C22semidirect
88. C2×C13×#106C22semidirect
89. C2×C13×#102C22semidirect
90. C2×C13×#102C22semidirect
91. C2×C13×#97C22semidirect
92. #11718879C22semidirect
94. #11718878C22semidirect
95. #11718878C22semidirect
96. #11718820C22semidirect
97. #11718819C22semidirect
98. #11718818C22semidirect
100. #11718817C22semidirect
101. #11718817C22semidirect
102. #11718815C22semidirect
103. #11718814C22semidirect
105. #11718812C22semidirect
107. #11718811C22semidirect
108. #11718811C22semidirect
110. #11718776C22semidirect
111. #11718776C22semidirect
112. #11718775C22semidirect
113. #11718775C22semidirect
114. #11718772C22semidirect
115. #11718772C22semidirect
116. C8×C22⋊D13C22semidirect
117. C8×C22⋊D13C22semidirect
118. #11718679C22semidirect
119. #11718679C22semidirect
120. #11718677C22semidirect
121. #11718677C22semidirect
122. #11718676C22semidirect
123. #11718676C22semidirect
124. #11718675C22semidirect
125. #11718675C22semidirect
126. #11718675C22semidirect
127. #11718675C22semidirect
128. #11718675C22semidirect
129. #11718675C22semidirect
130. #11718670C22semidirect
131. #11718670C22semidirect
132. #11718669C22semidirect
133. #11718669C22semidirect
134. #11718632C22semidirect
135. #11718629C22semidirect
136. #11718629C22semidirect
137. #11718628C22semidirect
138. #11718587C22semidirect
139. #11718532C22semidirect
140. #11718531C22semidirect
141. #11718531C22semidirect
142. #11718530C22semidirect
143. #11718527C22semidirect
144. #11718526C22semidirect
145. #11718525C22semidirect
146. #11718524C22semidirect
147. #11718524C22semidirect
148. #11718523C22semidirect
149. #11718522C22semidirect
150. D13×#106C22semidirect
151. #11718517C22semidirect
152. #11718516C22semidirect
153. #11718515C22semidirect
154. #11718513C22semidirect
155. #11718448C22semidirect
156. #11718447C22semidirect
157. #11718447C22semidirect
158. #11718446C22semidirect
159. #11718446C22semidirect
160. #11718445C22semidirect
161. #11718443C22semidirect
162. #11718443C22semidirect
163. #11718442C22semidirect
164. #11718439C22semidirect
165. #11718438C22semidirect
166. #11718438C22semidirect
167. #11718437C22semidirect
168. #11718436C22semidirect
169. #11718435C22semidirect
170. #11718434C22semidirect
171. #11718434C22semidirect
172. #11718432C22semidirect
173. #11718431C22semidirect
174. D13×#102C22semidirect
175. D13×#102C22semidirect
176. #11718427C22semidirect
177. #11718426C22semidirect
178. #11718425C22semidirect
179. #11718423C22semidirect
180. #11718422C22semidirect
181. #11718422C22semidirect
182. #11718421C22semidirect
183. #11718421C22semidirect
184. #11718420C22semidirect
185. #11718419C22semidirect
186. #11718417C22semidirect
187. #11718375C22semidirect
188. #11718374C22semidirect
189. #11718373C22semidirect
190. #11718372C22semidirect
191. #11718372C22semidirect
192. #11718371C22semidirect
193. #11718371C22semidirect
194. #11718368C22semidirect
195. #11718367C22semidirect
196. #11718367C22semidirect
197. #11718366C22semidirect
198. #11718366C22semidirect
199. D13×#97C22semidirect
200. #11718363C22semidirect
201. #11718362C22semidirect
202. #11718362C22semidirect
595. C13×D8#41semidirect
737. C2×#442D13semidirect
772. D4×C13C2×#41semidirect
815. C22⋊D13AGL(1,ℤ/8)semidirect
871. C8×C13C2×#41semidirect
922. C2×C4×D4C2×D13semidirect
923. C2×C4×D4C2×D13semidirect
1012. #442C2×D13semidirect
1013. #442C2×D13semidirect
1014. #442C2×D13semidirect
1015. #442C2×D13semidirect
1016. #442C2×D13semidirect
1017. #442C2×D13semidirect
1037. C2×#106C2×D13semidirect
1042. C2×#102C2×D13semidirect
1043. C2×#102C2×D13semidirect
1046. C2×#97C2×D13semidirect
1521. D8#6127semidirect
1621. C13#61451semidirect
1694. D4C2×#6127semidirect
1759. C8C2×#6127semidirect

Maximal subgroups

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

subgroupindex
#131284402
D4×#61272
#131278792
#131277362
#131276292
#131275442
#131273112
#131273022
#131271892
#131269822
#131269732
#131268022
#131267932
#131266562
#131266452
D8×C22⋊D132
#131263182
#131263162
#131255712
#131255342
#131255322
#131249832
#131249742
#131249722
#131249272
#131249252
#131238472
#131236472
D13×#4422
C2×C13×#4422
#6145113