Finite Group Databasebeta

← #16744829

Subgroups — #16744829

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#13128443C211yesmaximal, characteristic, complemented
2D4×#6129C211yesmaximal, characteristic, complemented
3#13127881C211yesmaximal, characteristic, complemented
4#13127738C211yesmaximal, characteristic, complemented
5#13127629C211yesmaximal, characteristic, complemented
6#13127540C211yesmaximal, characteristic, complemented
7#13127309C211yesmaximal, characteristic, complemented
8#13127300C211yesmaximal, characteristic, complemented
9#13127191C211yesmaximal, characteristic, complemented
10#13126978C211yesmaximal, characteristic, complemented
11#13126799C211yesmaximal, characteristic, complemented
12#13126792C211yesmaximal, characteristic, complemented
13#13126656C211yesmaximal, characteristic, complemented
14#13126644C211yesmaximal, characteristic, complemented
15#13126506C211yesmaximal, characteristic, complemented
16#13126314C211yesmaximal, characteristic, complemented
17#13126312C211yesmaximal, characteristic, complemented
18#13125569C211yesmaximal, characteristic, complemented
19#13125533C211yesmaximal, characteristic, complemented
20#13125529C211yesmaximal, characteristic, complemented
21#13124982C211yesmaximal, characteristic, complemented
22#13124979C211yesmaximal, characteristic, complemented
23#13124969C211yesmaximal, characteristic, complemented
24#13124926C211yesmaximal, characteristic, complemented
25#13124924C211yesmaximal, characteristic, complemented
26#13124922C211yesmaximal, characteristic, complemented
27#13123846C211yesmaximal, characteristic, complemented
28#13123640C211yesmaximal, characteristic, complemented
29C2×#11718446C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C13×#3318C211yesmaximal, characteristic, complemented
32C22×#6129—21no—
33C13×#553C2211yescharacteristic, complemented
34D42×C13C2211yescharacteristic, complemented
35#11719511—21no—
36D4×C22⋊D13C2211yescharacteristic
37D4×C22⋊D13C2211yescharacteristic, complemented
38C2×D4×Dic13C2211yescharacteristic, complemented
39C2×D4×Dic13C2211yescharacteristic, complemented
40C2×#88186C2211yescharacteristic
41C22×#6104C2211yescharacteristic
42C2×D8×D13C2211yescharacteristic
43#11719423C2211yescharacteristic, complemented
44#11719421C2211yescharacteristic, complemented
45#11719411—21no—
46#11719410—21no—
47#11719396C2211yescharacteristic, complemented
48#11719395C2211yescharacteristic, complemented
49#11719366—21no—
50#11719361—21no—
51#11719317C2211yescharacteristic, complemented
52#11719316C2211yescharacteristic
53#11719316C2211yescharacteristic, complemented
54#11719315—21no—
55#11719314C2211yescharacteristic, complemented
56#11719311—21no—
57#11719311—21no—
58#11719305C2211yescharacteristic, complemented
59#11719303—21no—
60#11719301C2211yescharacteristic, complemented
61#11719301C2211yescharacteristic, complemented
62#11719301C2211yescharacteristic, complemented
63#11719296—21no—
64#11719296—21no—
65#11719291—21no—
66#11719291—21no—
67#11719264C2211yescharacteristic, complemented
68#11719261—21no—
69#11719260C2211yescharacteristic, complemented
70#11719255C2211yescharacteristic, complemented
71C4×D4×D13—21no—
72C4×D4×D13C2211yescharacteristic, complemented
73C4×D4×D13C2211yescharacteristic, complemented
74D4×Dic26C2211yescharacteristic, complemented
75C4×#6129C2211yescharacteristic
76#11719235C2211yescharacteristic, complemented
77#11719227C2211yescharacteristic, complemented
78#11719216C2211yescharacteristic, complemented
79C2×#88147C2211yescharacteristic, complemented
80C13×#490C2211yescharacteristic, complemented
81C13×#482C2211yescharacteristic, complemented
82C13×#481C2211yescharacteristic, complemented
83C13×#478C2211yescharacteristic, complemented
84C13×#469C2211yescharacteristic, complemented
85C13×#466C2211yescharacteristic, complemented
86C13×#459C2211yescharacteristic, complemented
87C13×#447C2211yescharacteristic
88C13×#447C2211yescharacteristic, complemented
89C13×#442C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic, complemented
91C13×#418C2211yescharacteristic, complemented
92C2×C13×#102C2211yescharacteristic, complemented
93#11718879C2211yescharacteristic, complemented
94#11718878C2211yescharacteristic, complemented
95#11718817C2211yescharacteristic, complemented
96#11718817C2211yescharacteristic, complemented
97#11718815C2211yescharacteristic, complemented
98#11718814C2211yescharacteristic, complemented
99#11718814C2211yescharacteristic, complemented
100#11718813C2211yescharacteristic, complemented
101#11718813C2211yescharacteristic, complemented
102#11718813C2211yescharacteristic, complemented
103#11718812C2211yescharacteristic, complemented
104#11718811C2211yescharacteristic
105#11718811C2211yescharacteristic, complemented
106#11718796C2211yescharacteristic, complemented
107#11718794C2211yescharacteristic, complemented
108#11718788C2211yescharacteristic, complemented
109M16×Dic13C2211yescharacteristic, complemented
110#11718775C2211yescharacteristic, complemented
111C2×#88061C2211yescharacteristic, complemented
112C8×C22⋊D13C2211yescharacteristic, complemented
113C2×#88055C2211yescharacteristic, complemented
114#11718735C2211yescharacteristic, complemented
115#11718733C2211yescharacteristic, complemented
116#11718727C2211yescharacteristic, complemented
117#11718726C2211yescharacteristic, complemented
118#11718702C2211yescharacteristic, complemented
119#11718700C2211yescharacteristic, complemented
120#11718700C2211yescharacteristic, complemented
121#11718699C2211yescharacteristic, complemented
122#11718698C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718695C2211yescharacteristic, complemented
125#11718694C2211yescharacteristic, complemented
126#11718677C2211yescharacteristic, complemented
127#11718675C2211yescharacteristic
128#11718675C2211yescharacteristic, complemented
129#11718672C2211yescharacteristic, complemented
130#11718669C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718656C2211yescharacteristic, complemented
133#11718629C2211yescharacteristic, complemented
134C2×#88048C2211yescharacteristic, complemented
135#11718551C2211yescharacteristic, complemented
136#11718550C2211yescharacteristic, complemented
137#11718543C2211yescharacteristic, complemented
138#11718537C2211yescharacteristic, complemented
139#11718531C2211yescharacteristic, complemented
140#11718531C2211yescharacteristic, complemented
141#11718530C2211yescharacteristic, complemented
142#11718530C2211yescharacteristic, complemented
143#11718523C2211yescharacteristic, complemented
144D13×#106C2211yescharacteristic, complemented
145#11718516C2211yescharacteristic, complemented
146#11718515C2211yescharacteristic, complemented
147#11718505C2211yescharacteristic, complemented
148#11718503C2211yescharacteristic, complemented
149#11718496C2211yescharacteristic, complemented
150#11718489C2211yescharacteristic, complemented
151#11718447C2211yescharacteristic, complemented
152#11718447C2211yescharacteristic, complemented
153#11718447C2211yescharacteristic, complemented
154#11718446C2211yescharacteristic
155#11718446C2211yescharacteristic
156#11718446C2211yescharacteristic, complemented
157#11718446C2211yescharacteristic, complemented
158#11718446C2211yescharacteristic, complemented
159#11718446C2211yescharacteristic, complemented
160#11718446C2211yescharacteristic, complemented
161#11718446C2211yescharacteristic, complemented
162#11718446C2211yescharacteristic, complemented
163#11718446C2211yescharacteristic, complemented
164#11718446C2211yescharacteristic, complemented
165#11718439C2211yescharacteristic, complemented
166#11718439C2211yescharacteristic, complemented
167#11718438C2211yescharacteristic, complemented
168#11718438C2211yescharacteristic, complemented
169#11718437C2211yescharacteristic, complemented
170#11718436C2211yescharacteristic, complemented
171#11718436C2211yescharacteristic, complemented
172#11718434C2211yescharacteristic
173D13×#102C2211yescharacteristic, complemented
174D13×#102C2211yescharacteristic, complemented
175#11718426C2211yescharacteristic, complemented
176#11718425C2211yescharacteristic, complemented
177#11718424C2211yescharacteristic, complemented
178#11718424C2211yescharacteristic, complemented
179#11718423C2211yescharacteristic, complemented
180#11718422C2211yescharacteristic, complemented
181#11718422C2211yescharacteristic, complemented
182#11718421C2211yescharacteristic, complemented
183#11718421C2211yescharacteristic, complemented
184#11718419C2211yescharacteristic, complemented
185#11718419C2211yescharacteristic, complemented
186#11718418C2211yescharacteristic, complemented
187#11718418C2211yescharacteristic, complemented
188#11718418C2211yescharacteristic, complemented
189#11718417C2211yescharacteristic
190#11718417C2211yescharacteristic, complemented
191#11718396C2211yescharacteristic, complemented
192#11718395C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718389C2211yescharacteristic, complemented
195#11718386C2211yescharacteristic, complemented
196#11718382C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718375C2211yescharacteristic, complemented
200#11718372C2211yescharacteristic, complemented
201D13×#97C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C22×D4×C13—21no—
204C22×D4×C13C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C22×C22⋊D13—21no—
207C22×C22⋊D13—21no—
208C23×Dic13—21no—
209C23×Dic13—21no—
210C2×#6129—21no—
211C2×#6129—21no—
212C2×#6129—21no—
213C2×#6129—21no—
214C2×#6129—21no—
215C2×#6129—21no—
216C2×#6129—21no—
217C2×#6129—21no—
218C2×#6129—48no—
219C2×#6129D411yescharacteristic
220C2×D4×D13—21no—
221C2×D4×D13C2311yescharacteristic
222C2×D4×D13C2311yescharacteristic
223C2×#6127C2311yescharacteristic
224C22×D52C2311yescharacteristic
225C22×C4×D13—21no—
226C22×C4×D13—21no—
227C22×C4×D13—21no—
228C22×Dic26—21no—
229C2×C13×D8C2311yescharacteristic
230C2×C13×D8C2311yescharacteristic
231C2×C13×D8C2311yescharacteristic
232C2×C13×M16C2311yescharacteristic
233C22×C8×C13C2311yescharacteristic
234C13×#127C2311yescharacteristic
235C13×#126—21no—
236C13×#125C2311yescharacteristic
237C13×#123—21no—
238C13×#121—21no—
239C13×#121—21no—
240C13×#121C2311yescharacteristic
241C13×#121C2311yescharacteristic
242C13×#121C2311yescharacteristic
243C13×#121C2311yescharacteristic
244C13×#120—21no—
245C13×#120—21no—
246C4×D4×C13—21no—
247C4×D4×C13C2311yescharacteristic
248C4×D4×C13C2311yescharacteristic
249C4×D4×C13C2311yescharacteristic
250C13×#117C2311yescharacteristic
251C2×C13×C4⋊C4C2311yescharacteristic
252#88207—21no—
253#88207—21no—
254C2×C22⋊Dic13—21no—
255C2×C22⋊Dic13—21no—
256#88194C2311yescharacteristic
257#88194C2311yescharacteristic
258#88194C2311yescharacteristic
259#88193—21no—
260#88193—21no—
261#88193—21no—
262#88193—21no—
263#88193—21no—
264#88193—21no—
265#88193—21no—
266#88192—21no—
267#88192—21no—
268#88192—21no—
269#88192C2311yescharacteristic
270#88192C2311yescharacteristic
271#88191—21no—
272#88191—21no—
273#88191—21no—
274#88191—21no—
275#88191—21no—
276#88190—21no—
277#88190C2311yescharacteristic
278#88189—21no—
279#88189—21no—
280#88189—21no—
281D4×Dic13—21no—
282D4×Dic13—21no—
283D4×Dic13—21no—
284D4×Dic13—21no—
285D4×Dic13—21no—
286D4×Dic13—21no—
287D4×Dic13D411yescharacteristic
288D4×Dic13C2311yescharacteristic
289D4×Dic13C2311yescharacteristic
290D4×Dic13C2311yescharacteristic
291D4×Dic13C2311yescharacteristic
292D4×Dic13C2311yescharacteristic
293D4×Dic13C2311yescharacteristic
294D4×Dic13C2311yescharacteristic
295D4×Dic13C2311yescharacteristic
296C2×#6105C2311yescharacteristic
297C2×#6105C2311yescharacteristic
298C2×#6105C2311yescharacteristic
299#88186—24no—
300C2×#6104—24no—
301C2×#6104C2311yescharacteristic
302C2×#6104C2311yescharacteristic
303C2×#6104C2311yescharacteristic
304C2×#6104C2311yescharacteristic
305C2×#6104C2311yescharacteristic
306C2×#6104C2311yescharacteristic
307C2×#6104C2311yescharacteristic
308#88184C2311yescharacteristic
309#88184C2311yescharacteristic
310#88184C2311yescharacteristic
311#88183—21no—
312C4×C22⋊D13—21no—
313C4×C22⋊D13—21no—
314C4×C22⋊D13—21no—
315C4×C22⋊D13—21no—
316C4×C22⋊D13C2311yescharacteristic
317C4×C22⋊D13C2311yescharacteristic
318C2×#6103—21no—
319C2×C4⋊Dic13C2311yescharacteristic
320C2×C4⋊Dic13C2311yescharacteristic
321#88178—21no—
322#88178—21no—
323#88178C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×#6099C2311yescharacteristic
327C22×#1055C2311yescharacteristic
328D8×D13—24no—
329C2×D104C2311yescharacteristic
330C2×D104C2311yescharacteristic
331C2×#6095C2311yescharacteristic
332C2×C8×D13C2311yescharacteristic
333C2×C8×D13C2311yescharacteristic
334#88152—21no—
335#88151—21no—
336#88151—21no—
337#88151C2311yescharacteristic
338#88150—21no—
339#88150—21no—
340#88150—21no—
341#88149C2311yescharacteristic
342#88148—21no—
343#88148—21no—
344#88147—21no—
345#88147—21no—
346#88147—21no—
347#88147C2311yescharacteristic
348#88147C2311yescharacteristic
349#88147C2311yescharacteristic
350#88147C2311yescharacteristic
351#88147C2311yescharacteristic
352#88147C2311yescharacteristic
353#88146—21no—
354#88146D411yescharacteristic
355C4⋊C4×D13—21no—
356C4⋊C4×D13C2311yescharacteristic
357C4⋊C4×D13C2311yescharacteristic
358#88144C2311yescharacteristic
359#88143—21no—
360#88142C2311yescharacteristic
361#88142C2311yescharacteristic
362#88142C2311yescharacteristic
363#88141D411yescharacteristic
364#88141C2311yescharacteristic
365#88141C2311yescharacteristic
366#88140—21no—
367#88140—21no—
368#88139—21no—
369#88139—21no—
370#88139—21no—
371#88139—21no—
372#88138—21no—
373#88138—21no—
374#88138—21no—
375#88137—21no—
376#88137—21no—
377#88137—21no—
378#88137—21no—
379#88137—21no—
380#88136—21no—
381#88135—21no—
382#88135—21no—
383#88135—21no—
384#88135—21no—
385#88135—21no—
386#88135—21no—
387#88135—21no—
388#88135D411yescharacteristic
389#88135D411yescharacteristic
390C22⋊C4×D13—21no—
391C22⋊C4×D13—21no—
392C22⋊C4×D13—21no—
393C22⋊C4×D13—21no—
394#88133—21no—
395#88132—21no—
396#88132—21no—
397#88132—21no—
398#88132—21no—
399#88131—21no—
400#88131D411yescharacteristic
401#88131D411yescharacteristic
402#88130—21no—
403#88129C2311yescharacteristic
404C4×D52—21no—
405C4×D52C2311yescharacteristic
406C4×D52C2311yescharacteristic
407#88126—21no—
408C42×D13—21no—
409C42×D13C2311yescharacteristic
410#88123C2311yescharacteristic
411C4×Dic26C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×C4⋊C8C2311yescharacteristic
416C13×#102C2311yescharacteristic
417C13×#102C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×C22⋊C8C2311yescharacteristic
427C13×C22⋊C8C2311yescharacteristic
428C13×#97C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436C22⋊#1055C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88060C2311yescharacteristic
445#88060C2311yescharacteristic
446#88057C2311yescharacteristic
447#88057C2311yescharacteristic
448#88057C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88056C2311yescharacteristic
452#88055C2311yescharacteristic
453#88055C2311yescharacteristic
454#88055C2311yescharacteristic
455#88055C2311yescharacteristic
456#88055C2311yescharacteristic
457#88055C2311yescharacteristic
458#88054C2311yescharacteristic
459#88054C2311yescharacteristic
460#88054C2311yescharacteristic
461#88054C2311yescharacteristic
462C8×Dic13C2311yescharacteristic
463C8×Dic13C2311yescharacteristic
464#88050C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88048C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88048C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479#88047C2311yescharacteristic
480C4⋊#1055C2311yescharacteristic
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—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—21no—
496C2×D4×C13—21no—
497C2×D4×C13—21no—
498C2×D4×C13—41no—
499C2×D4×C13—41no—
500C2×D4×C13—44no—
501C2×D4×C13C2×D411yescharacteristic
502C2×D4×C13C2411yescharacteristic
503C2×D4×C13C2411yescharacteristic
504C2×D4×C13C2411yescharacteristic
505C2×D4×C13C2411yescharacteristic
506C22×C4×C13—21no—
507C22×C4×C13—21no—
508C22×C4×C13—21no—
509C22×C4×C13C2411yescharacteristic
510C22×C4×C13C2411yescharacteristic
511C2×C22⋊D13—21no—
512C2×C22⋊D13—21no—
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—44no—
526C2×C22⋊D13—44no—
527C2×C22⋊D13C2×D411yescharacteristic
528C2×C22⋊D13C2×D411yescharacteristic
529C22×Dic13—21no—
530C22×Dic13—21no—
531C22×Dic13—21no—
532C22×Dic13—21no—
533C22×Dic13—21no—
534C22×Dic13—21no—
535C22×Dic13—21no—
536C22×Dic13—21no—
537C22×Dic13—21no—
538C22×Dic13—21no—
539C22×Dic13—44no—
540C22×Dic13—44no—
541C22×Dic13C2×D411yescharacteristic
542C22×Dic13C2×D411yescharacteristic
543C22×Dic13C2×D411yescharacteristic
544C22×Dic13C2×D411yescharacteristic
545#6129—24no—
546#6129—44no—
547#6129—44no—
548#6129—44no—
549#6129—44no—
550#6129—44no—
551#6129—44no—
552#6129—44no—
553#6129—82no—
554D4×D13—22no—
555D4×D13—22no—
556D4×D13—41no—
557D4×D13—41no—
558D4×D13—44no—
559#6127—22no—
560#6127—41no—
561C2×D52—22no—
562C2×D52—21no—
563C2×D52—21no—
564C2×D52—41no—
565C2×D52C2411yescharacteristic
566C2×D52C2411yescharacteristic
567C2×D52C2411yescharacteristic
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—21no—
577C2×C4×D13—21no—
578C2×C4×D13—21no—
579C2×C4×D13—44no—
580C2×C4×D13—82no—
581C2×C4×D13—82no—
582C2×C4×D13C2×D411yescharacteristic
583C2×C4×D13C2×D411yescharacteristic
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—41no—
594C13×D8—41no—
595C13×M16—41no—
596C2×C8×C13—41no—
597C2×C8×C13C2411yescharacteristic
598C2×C8×C13C2411yescharacteristic
599C2×C8×C13C2411yescharacteristic
600C2×C8×C13C2411yescharacteristic
601C13×C4⋊C4—21no—
602C13×C4⋊C4—21no—
603C13×C4⋊C4—21no—
604C13×C4⋊C4C2×D411yescharacteristic
605C13×C4⋊C4C2411yescharacteristic
606C13×C4⋊C4C2411yescharacteristic
607C13×C4⋊C4C2411yescharacteristic
608C13×C4⋊C4C2411yescharacteristic
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—
616C13×C22⋊C4C2×D411yescharacteristic
617C13×C22⋊C4C2×D411yescharacteristic
618C42×C13—21no—
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⋊Dic13—21no—
632C22⋊Dic13—21no—
633C22⋊Dic13C2×D411yescharacteristic
634C22⋊Dic13C2×D411yescharacteristic
635#6105—22no—
636#6105—22no—
637#6105—41no—
638#6104—22no—
639#6104—22no—
640#6104—22no—
641#6104—22no—
642#6104—22no—
643#6104—41no—
644#6104#4114yescomplemented
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#6103—21no—
658#6103—21no—
659#6103—21no—
660#6103C2×D411yescharacteristic
661#6103C2×D411yescharacteristic
662C4⋊Dic13—21no—
663C4⋊Dic13—21no—
664C4⋊Dic13—21no—
665C4⋊Dic13—21no—
666C4⋊Dic13—21no—
667C4⋊Dic13C2×D411yescharacteristic
668C4⋊Dic13C2411yescharacteristic
669C4⋊Dic13C2411yescharacteristic
670C4⋊Dic13C2411yescharacteristic
671C4⋊Dic13C2411yescharacteristic
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#6101C2×D411yescharacteristic
682#6101C2×D411yescharacteristic
683#6101C2×D411yescharacteristic
684#6101C2×D411yescharacteristic
685C4×Dic13—21no—
686C4×Dic13—21no—
687C4×Dic13C2×D411yescharacteristic
688C4×Dic13C2×D411yescharacteristic
689C4×Dic13C2×D411yescharacteristic
690C4×Dic13C2×D411yescharacteristic
691C4×Dic13C2×D411yescharacteristic
692C4×Dic13C2×D411yescharacteristic
693C4×Dic13C2411yescharacteristic
694C4×Dic13C2411yescharacteristic
695C4×Dic13C2411yescharacteristic
696#6099—22no—
697C2×#1055—22no—
698C2×#1055C2411yescharacteristic
699C2×#1055C2411yescharacteristic
700C2×#1055C2411yescharacteristic
701C2×#1055C2411yescharacteristic
702D104—22no—
703D104—41no—
704#6095—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#3318D1311yescharacteristic, complemented
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×#442—131no—
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
749C23×C13C22×D411yescharacteristic
750C22×D13—21no—
751C22×D13—21no—
752C22×D13—21no—
753C22×D13—42no—
754C22×D13—42no—
755C22×D13—42no—
756C22×D13—42no—
757C22×D13—42no—
758C22×D13—42no—
759C22×D13—81no—
760C22×D13—81no—
761C22×D13—81no—
762C22×D13C22×D411yescharacteristic
763D4×C13—22no—
764D4×C13—21no—
765D4×C13—21no—
766D4×C13—21no—
767D4×C13—21no—
768D4×C13—21no—
769D4×C13—21no—
770D4×C13—21no—
771D4×C13—42no—
772D4×C13—42no—
773D4×C13—42no—
774D4×C13—42no—
775D4×C13—42no—
776D4×C13—42no—
777D4×C13—81no—
778D4×C13—81no—
779D4×C13C2×#4112yes—
780C2×C4×C13—21no—
781C2×C4×C13—21no—
782C2×C4×C13—21no—
783C2×C4×C13—21no—
784C2×C4×C13—21no—
785C2×C4×C13—21no—
786C2×C4×C13—21no—
787C2×C4×C13—21no—
788C2×C4×C13—42no—
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×C13C2511yescharacteristic
796C22⋊D13—22no—
797C22⋊D13—42no—
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—81no—
808C22⋊D13—81no—
809C22⋊D13—81no—
810C22⋊D13—81no—
811C22⋊D13AGL(1,ℤ/8)14yescomplemented
812C2×Dic13—22no—
813C2×Dic13—22no—
814C2×Dic13—21no—
815C2×Dic13—21no—
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—41no—
820C2×Dic13—41no—
821C2×Dic13—42no—
822C2×Dic13—42no—
823C2×Dic13—42no—
824C2×Dic13—42no—
825C2×Dic13—42no—
826C2×Dic13—42no—
827C2×Dic13—42no—
828C2×Dic13—42no—
829C2×Dic13—42no—
830C2×Dic13—42no—
831C2×Dic13C22×D411yescharacteristic
832C2×Dic13C22×D411yescharacteristic
833C2×Dic13C22×D411yescharacteristic
834C2×Dic13C22×D411yescharacteristic
835C2×Dic13C22×D411yescharacteristic
836C2×Dic13C22×D411yescharacteristic
837C2×Dic13C22×D411yescharacteristic
838D52—21no—
839D52—21no—
840D52—21no—
841D52—21no—
842D52—21no—
843D52—42no—
844D52—42no—
845D52C2×#4112yescomplemented
846C4×D13—22no—
847C4×D13—21no—
848C4×D13—21no—
849C4×D13—41no—
850C4×D13—42no—
851C4×D13—42no—
852C4×D13—42no—
853C4×D13—42no—
854C4×D13—42no—
855C4×D13—42no—
856C4×D13—42no—
857C4×D13—81no—
858C4×D13—81no—
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×C13—21no—
872#1055—21no—
873#1055—21no—
874#1055—21no—
875#1055C2×#4112yescomplemented
876C22×#41—261no—
877C2×AGL(1,ℤ/8)—131no—
878C22×D8—131no—
879C22×D8—131no—
880#559—131no—
881#554—131no—
882#554—131no—
883#553—131no—
884#553—261no—
885#553C2×D1311yescharacteristic, complemented
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—
903D42C2×D1311yescharacteristic, complemented
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—131no—
922C2×C4×D4—131no—
923C2×C4×D4—261no—
924#501—131no—
925#501—131no—
926#498—131no—
927#496—131no—
928#496—131no—
929#493—131no—
930#490—131no—
931#490C2×D1311yescharacteristic, complemented
932#489—131no—
933#489—131no—
934#486—131no—
935#486—131no—
936#483—131no—
937#483—131no—
938#482—131no—
939#482C2×D1311yescharacteristic, complemented
940#481—131no—
941#481—131no—
942#481—131no—
943#481—131no—
944#481—131no—
945#481C2×D1311yescharacteristic, complemented
946#480—131no—
947#480—131no—
948#478—131no—
949#478—131no—
950#478—131no—
951#478C2×D1311yescharacteristic, complemented
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#469C2×D1311yescharacteristic, complemented
964#466—131no—
965#466—131no—
966#466—131no—
967#466C2×D1311yescharacteristic, complemented
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#459C2×D1311yescharacteristic, complemented
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#447C2×D1311yescharacteristic
995#447C2×D1311yescharacteristic, complemented
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#442—131no—
1011#442—131no—
1012#442—131no—
1013#442—131no—
1014#442—131no—
1015#442—131no—
1016#442—131no—
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#435C2×D1311yescharacteristic, complemented
1030C8×D4—131no—
1031C8×D4—131no—
1032#432—131no—
1033#432—131no—
1034#432—131no—
1035#428—131no—
1036C2×#106—131no—
1037C2×#106—131no—
1038#418C2×D1311yescharacteristic, complemented
1039#417—131no—
1040C2×#102—131no—
1041C2×#102—131no—
1042C2×#102—131no—
1043C2×#102C2×D1311yescharacteristic, complemented
1044C4×M16—131no—
1045C2×#97—131no—
1046C2×#97—131no—
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—21no—
1050C22×C13—21no—
1051C22×C13—22no—
1052C22×C13—21no—
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—41no—
1062C22×C13—41no—
1063C22×C13—41no—
1064C22×C13—84no—
1065C22×C13—84no—
1066C22×C13C2×AGL(1,ℤ/8)12yes—
1067C22×C13C23×D411yescharacteristic
1068C2×D13—21no—
1069C2×D13—21no—
1070C2×D13—22no—
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—41no—
1088C4×C13—41no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13C22×#4111yescharacteristic
1092C4×C13#58511yescharacteristic
1093Dic13—21no—
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—21no—
1118C22×D4—131no—
1119C22×D4—131no—
1120C22×D4—131no—
1121C22×D4—261no—
1122C22×D4—261no—
1123C22×D4—261no—
1124C22×D4C22×D1311yescharacteristic
1125C22×D4C22×D1311yescharacteristic
1126C23×C4—261no—
1127C23×C4—261no—
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—131no—
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×D8—264no—
1147C2×D8C22×D1311yescharacteristic
1148C2×D8C22×D1311yescharacteristic
1149C2×D8C22×D1311yescharacteristic
1150C2×M16—131no—
1151C2×M16C22×D1311yescharacteristic
1152C22×C8—131no—
1153C22×C8—131no—
1154C22×C8—131no—
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#127C22×D1311yescharacteristic
1164#126—21no—
1165#126—261no—
1166#126—261no—
1167#126—261no—
1168#125—131no—
1169#125—261no—
1170#125C22×D1311yescharacteristic
1171#124—131no—
1172#124—131no—
1173#124—261no—
1174#124—261no—
1175#124—261no—
1176#124—261no—
1177#124—261no—
1178#123—21no—
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—21no—
1206#121—21no—
1207#121—131no—
1208#121—131no—
1209#121—131no—
1210#121—131no—
1211#121—131no—
1212#121—131no—
1213#121—261no—
1214#121—261no—
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#121C22×D1311yescharacteristic
1227#121C22×D1311yescharacteristic
1228#121C22×D1311yescharacteristic
1229#121C22×D1311yescharacteristic
1230#120—21no—
1231#120—21no—
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—131no—
1246C4×D4—131no—
1247C4×D4—131no—
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—131no—
1265C4×D4—131no—
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×D4—261no—
1283C4×D4—261no—
1284C4×D4—261no—
1285C4×D4—261no—
1286C4×D4—261no—
1287C4×D4C22×D1311yescharacteristic
1288C4×D4C22×D1311yescharacteristic
1289C4×D4C22×D1311yescharacteristic
1290#117—131no—
1291#117—131no—
1292#117—131no—
1293#117—261no—
1294#117—261no—
1295#117—261no—
1296#117C22×D1311yescharacteristic
1297C2×C4⋊C4—131no—
1298C2×C4⋊C4—131no—
1299C2×C4⋊C4—131no—
1300C2×C4⋊C4—131no—
1301C2×C4⋊C4—261no—
1302C2×C4⋊C4C22×D1311yescharacteristic
1303C2×C22⋊C4—261no—
1304C2×C22⋊C4—261no—
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—131no—
1313C2×C42—261no—
1314#107—131no—
1315#107—131no—
1316#107—131no—
1317#107C22×D1311yescharacteristic
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#106—131no—
1327#106—131no—
1328#106C22×D1311yescharacteristic
1329#106C22×D1311yescharacteristic
1330C4⋊C8—131no—
1331C4⋊C8—131no—
1332C4⋊C8—131no—
1333C4⋊C8—131no—
1334C4⋊C8—131no—
1335C4⋊C8C22×D1311yescharacteristic
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#102C22×D1311yescharacteristic
1359#102C22×D1311yescharacteristic
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⋊C8C22×D1311yescharacteristic
1373C22⋊C8C22×D1311yescharacteristic
1374#97—131no—
1375#97—131no—
1376#97—131no—
1377#97—131no—
1378#97—131no—
1379#97—131no—
1380#97—131no—
1381#97C22×D1311yescharacteristic
1382C4×C8—131no—
1383C4×C8—131no—
1384C2×C13—22no—
1385C2×C13—42no—
1386C2×C13—41no—
1387C2×C13—81no—
1388C2×C13—81no—
1389C2×C13—81no—
1390C2×C13D4×#4111yescharacteristic
1391C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1392C2×C13#358511yescharacteristic
1393D13—22no—
1394D13—42no—
1395D13—81no—
1396D13—81no—
1397C24—21no—
1398C24—21no—
1399C24—261no—
1400C24—261no—
1401C24—261no—
1402#41—262no—
1403#41—264no—
1404#41—521no—
1405#41—524no—
1406#41—524no—
1407#41—524no—
1408#41—524no—
1409#41—524no—
1410#41—524no—
1411#41—524no—
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—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—44no—
1433C2×D4—131no—
1434C2×D4—131no—
1435C2×D4—131no—
1436C2×D4—131no—
1437C2×D4—131no—
1438C2×D4—262no—
1439C2×D4—261no—
1440C2×D4—261no—
1441C2×D4—261no—
1442C2×D4—261no—
1443C2×D4—261no—
1444C2×D4—261no—
1445C2×D4—261no—
1446C2×D4—261no—
1447C2×D4—261no—
1448C2×D4—262no—
1449C2×D4—262no—
1450C2×D4—261no—
1451C2×D4—261no—
1452C2×D4—261no—
1453C2×D4—261no—
1454C2×D4—261no—
1455C2×D4—261no—
1456C2×D4—261no—
1457C2×D4—521no—
1458C2×D4—521no—
1459C2×D4—521no—
1460C2×D4—524no—
1461C2×D4—524no—
1462C2×D4—524no—
1463C2×D4D4×D1311yescharacteristic
1464C2×D4C23×D1311yescharacteristic
1465C2×D4C23×D1311yescharacteristic
1466C2×D4C23×D1311yescharacteristic
1467C2×D4C23×D1311yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—131no—
1472C22×C4—131no—
1473C22×C4—131no—
1474C22×C4—131no—
1475C22×C4—131no—
1476C22×C4—131no—
1477C22×C4—131no—
1478C22×C4—261no—
1479C22×C4—261no—
1480C22×C4—261no—
1481C22×C4—261no—
1482C22×C4—261no—
1483C22×C4—261no—
1484C22×C4—261no—
1485C22×C4—261no—
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—524no—
1500C22×C4—524no—
1501C22×C4—524no—
1502C22×C4—1042no—
1503C22×C4—1042no—
1504C22×C4C23×D1311yescharacteristic
1505C22×C4C23×D1311yescharacteristic
1506SD16—262no—
1507SD16—262no—
1508SD16—521no—
1509SD16—521no—
1510D8—22no—
1511D8—41no—
1512D8—41no—
1513D8—134no—
1514D8—262no—
1515D8—262no—
1516D8—262no—
1517D8—262no—
1518D8—262no—
1519D8—262no—
1520D8—521no—
1521D8—521no—
1522M16—41no—
1523M16—262no—
1524C2×C8—41no—
1525C2×C8—131no—
1526C2×C8—131no—
1527C2×C8—131no—
1528C2×C8—131no—
1529C2×C8—262no—
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—21no—
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⋊C4D4×D1311yescharacteristic
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—131no—
1575C22⋊C4—131no—
1576C22⋊C4—131no—
1577C22⋊C4—131no—
1578C22⋊C4—261no—
1579C22⋊C4—261no—
1580C22⋊C4—261no—
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⋊C4D4×D1311yescharacteristic
1607C22⋊C4D4×D1311yescharacteristic
1608C42—21no—
1609C42—131no—
1610C42—131no—
1611C42—131no—
1612C42—131no—
1613C42—131no—
1614C42—131no—
1615C42—131no—
1616C42—131no—
1617C42—131no—
1618C42—261no—
1619C42—261no—
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—261no—
1634C23—261no—
1635C23—261no—
1636C23—522no—
1637C23—522no—
1638C23—522no—
1639C23—522no—
1640C23—522no—
1641C23—522no—
1642C23—1041no—
1643C23—1041no—
1644C23—1041no—
1645C23C2×D4×D1311yescharacteristic
1646C23C2×D4×D1311yescharacteristic
1647Q8—262no—
1648Q8—261no—
1649Q8—261no—
1650Q8—522no—
1651Q8—522no—
1652Q8—522no—
1653Q8—1041no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—81no—
1669D4—81no—
1670D4—134no—
1671D4—132no—
1672D4—262no—
1673D4—261no—
1674D4—261no—
1675D4—261no—
1676D4—261no—
1677D4—261no—
1678D4—522no—
1679D4—522no—
1680D4—522no—
1681D4—522no—
1682D4—522no—
1683D4—522no—
1684D4—522no—
1685D4—522no—
1686D4—522no—
1687D4—522no—
1688D4—522no—
1689D4—522no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4—1041no—
1694D4#41×D1312yes—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—131no—
1707C2×C4—131no—
1708C2×C4—131no—
1709C2×C4—131no—
1710C2×C4—131no—
1711C2×C4—131no—
1712C2×C4—131no—
1713C2×C4—262no—
1714C2×C4—262no—
1715C2×C4—262no—
1716C2×C4—261no—
1717C2×C4—261no—
1718C2×C4—261no—
1719C2×C4—261no—
1720C2×C4—261no—
1721C2×C4—261no—
1722C2×C4—261no—
1723C2×C4—521no—
1724C2×C4—522no—
1725C2×C4—522no—
1726C2×C4—522no—
1727C2×C4—522no—
1728C2×C4—522no—
1729C2×C4—522no—
1730C2×C4—522no—
1731C2×C4—522no—
1732C2×C4—522no—
1733C2×C4—521no—
1734C2×C4—521no—
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×C4—1041no—
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—21no—
1756C8—132no—
1757C8—261no—
1758C8—261no—
1759C8—261no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—22no—
1765C22—21no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—84no—
1778C22—84no—
1779C22—132no—
1780C22—261no—
1781C22—261no—
1782C22—262no—
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—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—132no—
1805C4—261no—
1806C4—261no—
1807C4—261no—
1808C4—261no—
1809C4—261no—
1810C4—261no—
1811C4—521no—
1812C4—521no—
1813C4—521no—
1814C4—521no—
1815C4—521no—
1816C4C2×#41×D1311yescharacteristic
1817C4#1171965011yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—81no—
1824C2—262no—
1825C2—522no—
1826C2—1041no—
1827C2—1041no—
1828C2#1312832011yescharacteristic
1829C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
1830C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3318C2
socleC22×C13C23×D4
hypercenter#3318D13
hypocenterC13#61451
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #13128443C2semidirect
2. D4×#6129C2semidirect
3. #13127881C2semidirect
4. #13127738C2semidirect
5. #13127629C2semidirect
6. #13127540C2semidirect
7. #13127309C2semidirect
8. #13127300C2semidirect
9. #13127191C2semidirect
10. #13126978C2semidirect
11. #13126799C2semidirect
12. #13126792C2semidirect
13. #13126656C2semidirect
14. #13126644C2semidirect
15. #13126506C2semidirect
16. #13126314C2semidirect
17. #13126312C2semidirect
18. #13125569C2semidirect
19. #13125533C2semidirect
20. #13125529C2semidirect
21. #13124982C2semidirect
22. #13124979C2semidirect
23. #13124969C2semidirect
24. #13124926C2semidirect
25. #13124924C2semidirect
26. #13124922C2semidirect
27. #13123846C2semidirect
28. #13123640C2semidirect
29. C2×#11718446C2semidirect
30. D13×#442C2semidirect
31. C13×#3318C2semidirect
33. C13×#553C22semidirect
34. D42×C13C22semidirect
37. D4×C22⋊D13C22semidirect
38. C2×D4×Dic13C22semidirect
39. C2×D4×Dic13C22semidirect
43. #11719423C22semidirect
44. #11719421C22semidirect
47. #11719396C22semidirect
48. #11719395C22semidirect
51. #11719317C22semidirect
53. #11719316C22semidirect
55. #11719314C22semidirect
58. #11719305C22semidirect
60. #11719301C22semidirect
61. #11719301C22semidirect
62. #11719301C22semidirect
67. #11719264C22semidirect
69. #11719260C22semidirect
70. #11719255C22semidirect
72. C4×D4×D13C22semidirect
73. C4×D4×D13C22semidirect
74. D4×Dic26C22semidirect
76. #11719235C22semidirect
77. #11719227C22semidirect
78. #11719216C22semidirect
79. C2×#88147C22semidirect
80. C13×#490C22semidirect
81. C13×#482C22semidirect
82. C13×#481C22semidirect
83. C13×#478C22semidirect
84. C13×#469C22semidirect
85. C13×#466C22semidirect
86. C13×#459C22semidirect
88. C13×#447C22semidirect
89. C13×#442C22semidirect
90. C13×#435C22semidirect
91. C13×#418C22semidirect
92. C2×C13×#102C22semidirect
93. #11718879C22semidirect
94. #11718878C22semidirect
95. #11718817C22semidirect
96. #11718817C22semidirect
97. #11718815C22semidirect
98. #11718814C22semidirect
99. #11718814C22semidirect
100. #11718813C22semidirect
101. #11718813C22semidirect
102. #11718813C22semidirect
103. #11718812C22semidirect
105. #11718811C22semidirect
106. #11718796C22semidirect
107. #11718794C22semidirect
108. #11718788C22semidirect
109. M16×Dic13C22semidirect
110. #11718775C22semidirect
111. C2×#88061C22semidirect
112. C8×C22⋊D13C22semidirect
113. C2×#88055C22semidirect
114. #11718735C22semidirect
115. #11718733C22semidirect
116. #11718727C22semidirect
117. #11718726C22semidirect
118. #11718702C22semidirect
119. #11718700C22semidirect
120. #11718700C22semidirect
121. #11718699C22semidirect
122. #11718698C22semidirect
123. #11718697C22semidirect
124. #11718695C22semidirect
125. #11718694C22semidirect
126. #11718677C22semidirect
128. #11718675C22semidirect
129. #11718672C22semidirect
130. #11718669C22semidirect
131. #11718664C22semidirect
132. #11718656C22semidirect
133. #11718629C22semidirect
134. C2×#88048C22semidirect
135. #11718551C22semidirect
136. #11718550C22semidirect
137. #11718543C22semidirect
138. #11718537C22semidirect
139. #11718531C22semidirect
140. #11718531C22semidirect
141. #11718530C22semidirect
142. #11718530C22semidirect
143. #11718523C22semidirect
144. D13×#106C22semidirect
145. #11718516C22semidirect
146. #11718515C22semidirect
147. #11718505C22semidirect
148. #11718503C22semidirect
149. #11718496C22semidirect
150. #11718489C22semidirect
151. #11718447C22semidirect
152. #11718447C22semidirect
153. #11718447C22semidirect
156. #11718446C22semidirect
157. #11718446C22semidirect
158. #11718446C22semidirect
159. #11718446C22semidirect
160. #11718446C22semidirect
161. #11718446C22semidirect
162. #11718446C22semidirect
163. #11718446C22semidirect
164. #11718446C22semidirect
165. #11718439C22semidirect
166. #11718439C22semidirect
167. #11718438C22semidirect
168. #11718438C22semidirect
169. #11718437C22semidirect
170. #11718436C22semidirect
171. #11718436C22semidirect
173. D13×#102C22semidirect
174. D13×#102C22semidirect
175. #11718426C22semidirect
176. #11718425C22semidirect
177. #11718424C22semidirect
178. #11718424C22semidirect
179. #11718423C22semidirect
180. #11718422C22semidirect
181. #11718422C22semidirect
182. #11718421C22semidirect
183. #11718421C22semidirect
184. #11718419C22semidirect
185. #11718419C22semidirect
186. #11718418C22semidirect
187. #11718418C22semidirect
188. #11718418C22semidirect
190. #11718417C22semidirect
191. #11718396C22semidirect
192. #11718395C22semidirect
193. #11718393C22semidirect
194. #11718389C22semidirect
195. #11718386C22semidirect
196. #11718382C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. #11718375C22semidirect
200. #11718372C22semidirect
201. D13×#97C22semidirect
202. #11718362C22semidirect
644. #6104#41semidirect
717. #3318D13semidirect
811. C22⋊D13AGL(1,ℤ/8)semidirect
845. D52C2×#41semidirect
875. #1055C2×#41semidirect
885. #553C2×D13semidirect
903. D42C2×D13semidirect
931. #490C2×D13semidirect
939. #482C2×D13semidirect
945. #481C2×D13semidirect
951. #478C2×D13semidirect
963. #469C2×D13semidirect
967. #466C2×D13semidirect
983. #459C2×D13semidirect
995. #447C2×D13semidirect
1017. #442C2×D13semidirect
1029. #435C2×D13semidirect
1038. #418C2×D13semidirect
1043. C2×#102C2×D13semidirect
1621. C13#61451semidirect

Maximal subgroups

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

subgroupindex
#131284432
D4×#61292
#131278812
#131277382
#131276292
#131275402
#131273092
#131273002
#131271912
#131269782
#131267992
#131267922
#131266562
#131266442
#131265062
#131263142
#131263122
#131255692
#131255332
#131255292
#131249822
#131249792
#131249692
#131249262
#131249242
#131249222
#131238462
#131236402
C2×#117184462
D13×#4422
C13×#33182
#6145113