Finite Group Databasebeta

← #16740487

Subgroups — #16740487

Order 3328.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128560C211yesmaximal, characteristic, complemented
2#13128464C211yesmaximal, characteristic, complemented
3#13127077C211yesmaximal, characteristic, complemented
4#13127071C211yesmaximal, characteristic, complemented
5#13127042C211yesmaximal, characteristic, complemented
6#13127040C211yesmaximal, characteristic, complemented
7#13126998C211yesmaximal, characteristic, complemented
8#13126989C211yesmaximal, characteristic, complemented
9#13126984C211yesmaximal, characteristic, complemented
10#13126983C211yesmaximal, characteristic, complemented
11#13126977C211yesmaximal, characteristic, complemented
12#13126973C211yesmaximal, characteristic, complemented
13#13126793C211yesmaximal, characteristic, complemented
14#13126791C211yesmaximal, characteristic, complemented
15#13126690C211yesmaximal, characteristic, complemented
16#13126688C211yesmaximal, characteristic, complemented
17#13126647C211yesmaximal, characteristic, complemented
18#13125185C211yesmaximal, characteristic, complemented
19#13124787C211yesmaximal, characteristic, complemented
20#13124744C211yesmaximal, characteristic, complemented
21#13124660C211yesmaximal, characteristic, complemented
22#13124479C211yesmaximal, characteristic, complemented
23#13124452C211yesmaximal, characteristic, complemented
24#13124334C211yesmaximal, characteristic, complemented
25#13124099C211yesmaximal, characteristic, complemented
26D13×#447C211yesmaximal, characteristic, complemented
27#13123683C211yesmaximal, characteristic, complemented
28#13123556C211yesmaximal, characteristic, complemented
29#13123357C211yesmaximal, characteristic, complemented
30C2×#11718431C211yesmaximal, characteristic, complemented
31C13×#3294C211yesmaximal, characteristic, complemented
32C2×#88251C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#547C2211yescharacteristic, complemented
35D42×C13C2211yescharacteristic, complemented
36#11719537—21no—
37#11719534—21no—
38#11719511C2211yescharacteristic, complemented
39D4×C22⋊D13—21no—
40D4×C22⋊D13C2211yescharacteristic, complemented
41C2×#88191—21no—
42C2×#88165C2211yescharacteristic, complemented
43C2×D8×D13C2211yescharacteristic
44C2×D8×D13C2211yescharacteristic, complemented
45C2×#88155C2211yescharacteristic, complemented
46C22×#6094C2211yescharacteristic, complemented
47#11719439C2211yescharacteristic, complemented
48#11719434C2211yescharacteristic, complemented
49#11719422C2211yescharacteristic, complemented
50#11719420C2211yescharacteristic
51#11719368—21no—
52#11719364—21no—
53#11719359—21no—
54#11719354—21no—
55#11719345—21no—
56#11719342—21no—
57#11719323C2211yescharacteristic, complemented
58#11719321C2211yescharacteristic, complemented
59#11719317C2211yescharacteristic, complemented
60#11719315—21no—
61#11719314C2211yescharacteristic, complemented
62#11719312C2211yescharacteristic
63#11719312C2211yescharacteristic, complemented
64#11719311C2211yescharacteristic
65#11719310—21no—
66D13×#121C2211yescharacteristic, complemented
67#11719296—21no—
68#11719295—21no—
69#11719294—21no—
70D13×#120—21no—
71#11719270C2211yescharacteristic, complemented
72#11719263C2211yescharacteristic, complemented
73#11719259C2211yescharacteristic, complemented
74#11719255C2211yescharacteristic, complemented
75#11719252C2211yescharacteristic
76#11719250C2211yescharacteristic
77#11719250C2211yescharacteristic, complemented
78#11719219C2211yescharacteristic, complemented
79#11719212C2211yescharacteristic, complemented
80#11719209C2211yescharacteristic, complemented
81C2×#88146C2211yescharacteristic, complemented
82C13×#486C2211yescharacteristic, complemented
83C13×#480C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#474C2211yescharacteristic, complemented
86C13×#466C2211yescharacteristic, complemented
87C13×#466C2211yescharacteristic, complemented
88C13×#459C2211yescharacteristic, complemented
89C13×#447C2211yescharacteristic, complemented
90C13×#447C2211yescharacteristic, complemented
91C4×C13×D8C2211yescharacteristic, complemented
92C8×D4×C13C2211yescharacteristic, complemented
93C2×C13×#102C2211yescharacteristic, complemented
94C2×C13×#102C2211yescharacteristic, complemented
95#11718878C2211yescharacteristic, complemented
96#11718878C2211yescharacteristic, complemented
97#11718876C2211yescharacteristic, complemented
98C2×#88072C2211yescharacteristic, complemented
99#11718820C2211yescharacteristic, complemented
100#11718819C2211yescharacteristic, complemented
101#11718818C2211yescharacteristic, complemented
102#11718817C2211yescharacteristic, complemented
103#11718817C2211yescharacteristic, complemented
104#11718817C2211yescharacteristic, complemented
105#11718814C2211yescharacteristic, complemented
106#11718811C2211yescharacteristic, complemented
107D8×Dic13C2211yescharacteristic, complemented
108#11718776C2211yescharacteristic, complemented
109#11718775C2211yescharacteristic, complemented
110#11718774C2211yescharacteristic, complemented
111C2×#88061C2211yescharacteristic, complemented
112#11718772C2211yescharacteristic, complemented
113#11718772C2211yescharacteristic, complemented
114#11718750C2211yescharacteristic, complemented
115#11718745C2211yescharacteristic, complemented
116#11718733C2211yescharacteristic, complemented
117#11718732C2211yescharacteristic, complemented
118#11718702C2211yescharacteristic, complemented
119#11718700C2211yescharacteristic, complemented
120#11718700C2211yescharacteristic, complemented
121#11718699C2211yescharacteristic, complemented
122#11718698C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718696C2211yescharacteristic, complemented
125#11718695C2211yescharacteristic, complemented
126#11718677C2211yescharacteristic, complemented
127#11718675C2211yescharacteristic, complemented
128#11718675C2211yescharacteristic, complemented
129#11718672C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718632C2211yescharacteristic, complemented
132#11718629C2211yescharacteristic, complemented
133#11718627C2211yescharacteristic, complemented
134C2×#88049C2211yescharacteristic, complemented
135#11718552C2211yescharacteristic, complemented
136#11718551C2211yescharacteristic, complemented
137#11718549C2211yescharacteristic, complemented
138#11718549C2211yescharacteristic, complemented
139#11718547C2211yescharacteristic, complemented
140#11718546C2211yescharacteristic, complemented
141#11718544C2211yescharacteristic, complemented
142#11718543C2211yescharacteristic, complemented
143#11718542C2211yescharacteristic, complemented
144#11718541C2211yescharacteristic, complemented
145#11718541C2211yescharacteristic, complemented
146#11718533C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718505C2211yescharacteristic, complemented
149#11718500C2211yescharacteristic, complemented
150#11718497C2211yescharacteristic, complemented
151#11718448C2211yescharacteristic, complemented
152#11718447C2211yescharacteristic, complemented
153#11718446C2211yescharacteristic, complemented
154#11718446C2211yescharacteristic, complemented
155#11718445C2211yescharacteristic, complemented
156#11718445C2211yescharacteristic, complemented
157#11718445C2211yescharacteristic, complemented
158#11718443C2211yescharacteristic, complemented
159#11718443C2211yescharacteristic, complemented
160#11718443C2211yescharacteristic, complemented
161#11718442C2211yescharacteristic, complemented
162#11718441C2211yescharacteristic, complemented
163#11718438C2211yescharacteristic, complemented
164#11718434C2211yescharacteristic, complemented
165#11718434C2211yescharacteristic, complemented
166#11718434C2211yescharacteristic, complemented
167#11718433C2211yescharacteristic, complemented
168#11718433C2211yescharacteristic, complemented
169#11718433C2211yescharacteristic, complemented
170#11718432C2211yescharacteristic, complemented
171#11718432C2211yescharacteristic, complemented
172#11718431C2211yescharacteristic
173#11718431C2211yescharacteristic
174#11718431C2211yescharacteristic, complemented
175#11718431C2211yescharacteristic, complemented
176#11718431C2211yescharacteristic, complemented
177#11718431C2211yescharacteristic, complemented
178#11718431C2211yescharacteristic, complemented
179#11718431C2211yescharacteristic, complemented
180#11718431C2211yescharacteristic, complemented
181#11718431C2211yescharacteristic, complemented
182D13×#102C2211yescharacteristic
183D13×#102C2211yescharacteristic, complemented
184D13×#102C2211yescharacteristic, complemented
185#11718429C2211yescharacteristic, complemented
186#11718427C2211yescharacteristic, complemented
187#11718426C2211yescharacteristic, complemented
188#11718425C2211yescharacteristic, complemented
189#11718422C2211yescharacteristic, complemented
190#11718421C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718395C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718390C2211yescharacteristic, complemented
195#11718388C2211yescharacteristic, complemented
196#11718386C2211yescharacteristic, complemented
197D13×C22⋊C8C2211yescharacteristic, complemented
198#11718383C2211yescharacteristic, complemented
199#11718358C2211yescharacteristic, complemented
200C4×D104C2211yescharacteristic, complemented
201#11718350C2211yescharacteristic, complemented
202#11718349C2211yescharacteristic, complemented
203C24×D13—21no—
204C2×C13×#41—21no—
205C22×D4×C13—21no—
206C22×D4×C13C2311yescharacteristic
207C22×D4×C13C2311yescharacteristic
208C22×C22⋊D13—21no—
209C22×C22⋊D13—21no—
210C22×C22⋊D13—21no—
211C22×C22⋊D13—21no—
212#88251—24no—
213#88251—42no—
214C2×#6129—21no—
215C2×#6129C2311yescharacteristic
216C2×#6129C2311yescharacteristic
217C2×D4×D13—24no—
218C2×D4×D13—21no—
219C2×D4×D13—21no—
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—21no—
223C2×D4×D13—21no—
224C2×D4×D13—42no—
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C2×D4×D13C2311yescharacteristic
230C2×D4×D13C2311yescharacteristic
231C2×#6127—21no—
232C2×#6127C2311yescharacteristic
233C2×#6127C2311yescharacteristic
234C22×D52C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C2×C13×D8C2311yescharacteristic
237C2×C13×D8C2311yescharacteristic
238C2×C13×D8C2311yescharacteristic, complemented
239C22×C8×C13C2311yescharacteristic
240C22×C8×C13C2311yescharacteristic, complemented
241C13×C4⋊Q8C2311yescharacteristic, complemented
242C13×#127C2311yescharacteristic
243C13×#123—21no—
244C13×#123—21no—
245C13×C22⋊Q8—21no—
246C13×#121—21no—
247C13×#121C2311yescharacteristic
248C13×#121C2311yescharacteristic
249C13×#121C2311yescharacteristic
250C13×#121C2311yescharacteristic, complemented
251C13×#120—21no—
252C13×#120—21no—
253C4×D4×C13C2311yescharacteristic
254C4×D4×C13C2311yescharacteristic
255C4×D4×C13C2311yescharacteristic, complemented
256C2×C13×C4⋊C4C2311yescharacteristic
257C2×C13×C4⋊C4C2311yescharacteristic, complemented
258#88207—21no—
259#88207—21no—
260C2×C22⋊Dic13—21no—
261#88201—21no—
262#88201—21no—
263#88200—21no—
264#88198—21no—
265#88194—21no—
266#88194—21no—
267#88194C2311yescharacteristic
268#88193—21no—
269#88193—21no—
270#88193—21no—
271#88193—21no—
272#88193—21no—
273#88193—21no—
274#88193—21no—
275#88193—21no—
276#88193D411yescharacteristic
277#88192—21no—
278#88192—21no—
279#88192C2311yescharacteristic
280#88192C2311yescharacteristic
281#88192C2311yescharacteristic
282#88192C2311yescharacteristic, complemented
283#88191—21no—
284#88191—21no—
285#88191—21no—
286#88191—21no—
287#88191—21no—
288#88191—21no—
289#88191—21no—
290#88191—21no—
291#88191—21no—
292#88191—21no—
293#88191—21no—
294#88191D411yescharacteristic
295#88190—21no—
296#88190C2311yescharacteristic
297#88189—21no—
298D4×Dic13—21no—
299D4×Dic13—21no—
300D4×Dic13C2311yescharacteristic
301D4×Dic13C2311yescharacteristic, complemented
302C2×#6105C2311yescharacteristic, complemented
303C2×#6104C2311yescharacteristic
304C2×#6104C2311yescharacteristic
305C2×#6104C2311yescharacteristic
306C2×#6104C2311yescharacteristic
307C2×#6104C2311yescharacteristic, complemented
308#88184—21no—
309#88184—21no—
310#88184C2311yescharacteristic
311#88184C2311yescharacteristic
312#88184C2311yescharacteristic, complemented
313#88183—21no—
314#88183—21no—
315C4×C22⋊D13—21no—
316C4×C22⋊D13—21no—
317C4×C22⋊D13—21no—
318C4×C22⋊D13—21no—
319C4×C22⋊D13—21no—
320C4×C22⋊D13—21no—
321C4×C22⋊D13C2311yescharacteristic
322C4×C22⋊D13C2311yescharacteristic
323C2×#6103—21no—
324C2×#6103—21no—
325C2×#6103—21no—
326C2×#6103—21no—
327#88180C2311yescharacteristic, complemented
328C2×C4⋊Dic13C2311yescharacteristic
329#88178C2311yescharacteristic
330C2×C4×Dic13—21no—
331C2×#6099C2311yescharacteristic, complemented
332C22×#1055C2311yescharacteristic
333#88165—42no—
334D8×D13—24no—
335D8×D13—42no—
336C2×D104C2311yescharacteristic
337C2×D104C2311yescharacteristic
338C2×#6095C2311yescharacteristic, complemented
339#88155—42no—
340C2×#6094—42no—
341C2×#6094C2311yescharacteristic
342C2×#6094C2311yescharacteristic
343C2×#6094C2311yescharacteristic
344C2×#6094C2311yescharacteristic
345C2×#6094C2311yescharacteristic, complemented
346C2×C8×D13C2311yescharacteristic
347C2×C8×D13C2311yescharacteristic
348C2×C8×D13C2311yescharacteristic, complemented
349#88152—21no—
350#88152—21no—
351#88151C2311yescharacteristic
352#88150—21no—
353#88150—21no—
354#88150D411yescharacteristic
355#88149—21no—
356#88149C2311yescharacteristic
357#88149C2311yescharacteristic
358#88149C2311yescharacteristic, complemented
359#88148—21no—
360#88148—21no—
361#88148—21no—
362#88148D411yescharacteristic
363#88147—21no—
364#88147C2311yescharacteristic
365#88147C2311yescharacteristic, complemented
366#88146—21no—
367#88146—21no—
368#88146—21no—
369#88146C2311yescharacteristic
370#88146C2311yescharacteristic
371#88146C2311yescharacteristic
372#88146C2311yescharacteristic
373#88146C2311yescharacteristic
374#88146C2311yescharacteristic, complemented
375C4⋊C4×D13C2311yescharacteristic
376C4⋊C4×D13C2311yescharacteristic, complemented
377#88144C2311yescharacteristic, complemented
378#88143—21no—
379#88142C2311yescharacteristic, complemented
380#88141—21no—
381#88140—21no—
382#88140—21no—
383#88139—21no—
384#88139—21no—
385#88139—21no—
386#88138—21no—
387#88138—21no—
388#88138—21no—
389#88138—21no—
390#88138D411yescharacteristic
391#88137—21no—
392#88137—21no—
393#88137—21no—
394#88137D411yescharacteristic
395#88136—21no—
396#88136—21no—
397#88136—21no—
398#88136—21no—
399#88136D411yescharacteristic
400#88135—21no—
401#88135—21no—
402#88135—21no—
403#88135—21no—
404C22⋊C4×D13—21no—
405C22⋊C4×D13—21no—
406C22⋊C4×D13—21no—
407C22⋊C4×D13—21no—
408C22⋊C4×D13—21no—
409#88133—21no—
410#88133—21no—
411#88132D411yescharacteristic
412#88131—21no—
413#88129C2311yescharacteristic
414C4×D52C2311yescharacteristic
415C4×D52C2311yescharacteristic
416C4×D52C2311yescharacteristic, complemented
417#88126C2311yescharacteristic
418#88124C2311yescharacteristic, complemented
419C13×#107C2311yescharacteristic, complemented
420C13×#107C2311yescharacteristic, complemented
421C13×#107C2311yescharacteristic, complemented
422C13×C4⋊C8C2311yescharacteristic, complemented
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×#102C2311yescharacteristic
427C13×#102C2311yescharacteristic
428C13×#102C2311yescharacteristic
429C13×#102C2311yescharacteristic, complemented
430C13×#102C2311yescharacteristic, complemented
431C13×#102C2311yescharacteristic, complemented
432C13×#102C2311yescharacteristic, complemented
433C13×C22⋊C8C2311yescharacteristic
434C13×C22⋊C8C2311yescharacteristic, complemented
435C4×C8×C13C2311yescharacteristic, complemented
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438#88072C2311yescharacteristic
439#88072C2311yescharacteristic
440#88072C2311yescharacteristic
441#88072C2311yescharacteristic
442#88072C2311yescharacteristic, complemented
443#88072C2311yescharacteristic, complemented
444#88072C2311yescharacteristic, complemented
445#88072C2311yescharacteristic, complemented
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic, complemented
448#88061C2311yescharacteristic
449#88061C2311yescharacteristic
450#88061C2311yescharacteristic
451#88061C2311yescharacteristic
452#88061C2311yescharacteristic
453#88061C2311yescharacteristic
454#88061C2311yescharacteristic, complemented
455#88060C2311yescharacteristic
456#88060C2311yescharacteristic
457#88060C2311yescharacteristic, complemented
458#88060C2311yescharacteristic, complemented
459#88058C2311yescharacteristic, complemented
460#88058C2311yescharacteristic, complemented
461#88057C2311yescharacteristic, complemented
462#88056C2311yescharacteristic, complemented
463#88056C2311yescharacteristic, complemented
464#88056C2311yescharacteristic, complemented
465#88055C2311yescharacteristic, complemented
466#88054C2311yescharacteristic, complemented
467#88054C2311yescharacteristic, complemented
468C8×Dic13C2311yescharacteristic, complemented
469#88050C2311yescharacteristic, complemented
470#88050C2311yescharacteristic, complemented
471#88050C2311yescharacteristic, complemented
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88049C2311yescharacteristic
475#88049C2311yescharacteristic
476#88049C2311yescharacteristic
477#88049C2311yescharacteristic
478#88049C2311yescharacteristic, complemented
479#88048C2311yescharacteristic, complemented
480#88048C2311yescharacteristic, complemented
481#88048C2311yescharacteristic, complemented
482#88048C2311yescharacteristic, complemented
483#88048C2311yescharacteristic, complemented
484#88047C2311yescharacteristic, complemented
485C4⋊#1055C2311yescharacteristic, complemented
486#88043C2311yescharacteristic, complemented
487#61183—131nomaximal, Sylow
488C24×C13—21no—
489C24×C13—21no—
490C23×D13—21no—
491C23×D13—21no—
492C23×D13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—44no—
498C23×D13—82no—
499C23×D13—82no—
500C23×D13C2×D411yescharacteristic
501C13×#41—82no—
502C2×Q8×C13—21no—
503C2×D4×C13—22no—
504C2×D4×C13—22no—
505C2×D4×C13—21no—
506C2×D4×C13—21no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—41no—
514C2×D4×C13—41no—
515C2×D4×C13—82no—
516C2×D4×C13C2×D411yescharacteristic
517C2×D4×C13C2411yescharacteristic
518C2×D4×C13C2411yescharacteristic
519C2×D4×C13C2411yescharacteristic
520C2×D4×C13C2411yescharacteristic
521C22×C4×C13—21no—
522C22×C4×C13—21no—
523C22×C4×C13—21no—
524C22×C4×C13—21no—
525C22×C4×C13C2411yescharacteristic
526C22×C4×C13C2411yescharacteristic
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—21no—
537C2×C22⋊D13—21no—
538C2×C22⋊D13—21no—
539C2×C22⋊D13—21no—
540C2×C22⋊D13—21no—
541C2×C22⋊D13—21no—
542C2×C22⋊D13—21no—
543C2×C22⋊D13—21no—
544C2×C22⋊D13—21no—
545C2×C22⋊D13—44no—
546C2×C22⋊D13—44no—
547C2×C22⋊D13—44no—
548C2×C22⋊D13—82no—
549C2×C22⋊D13C2×D411yescharacteristic
550C2×C22⋊D13C2×D411yescharacteristic
551C2×C22⋊D13C2×D411yescharacteristic
552C2×C22⋊D13C2×D411yescharacteristic
553C22×Dic13—21no—
554C22×Dic13—21no—
555C22×Dic13—21no—
556C22×Dic13—21no—
557C22×Dic13—21no—
558C22×Dic13C2×D411yescharacteristic
559#6129—22no—
560#6129—22no—
561#6129—22no—
562#6129—41no—
563#6129—44no—
564D4×D13—22no—
565D4×D13—22no—
566D4×D13—22no—
567D4×D13—22no—
568D4×D13—22no—
569D4×D13—22no—
570D4×D13—22no—
571D4×D13—22no—
572D4×D13—41no—
573D4×D13—41no—
574D4×D13—41no—
575D4×D13—44no—
576D4×D13—44no—
577D4×D13—44no—
578D4×D13—82no—
579D4×D13—82no—
580D4×D13—82no—
581D4×D13#4114yescomplemented
582#6127—22no—
583#6127—22no—
584#6127—22no—
585#6127—41no—
586#6127—82no—
587C2×D52—22no—
588C2×D52—21no—
589C2×D52—21no—
590C2×D52—21no—
591C2×D52—21no—
592C2×D52—41no—
593C2×D52C2×D411yescharacteristic
594C2×D52C2×D411yescharacteristic
595C2×D52C2411yescharacteristic
596C2×D52C2411yescharacteristic
597C2×D52C2411yescharacteristic
598C2×C4×D13—22no—
599C2×C4×D13—22no—
600C2×C4×D13—21no—
601C2×C4×D13—21no—
602C2×C4×D13—21no—
603C2×C4×D13—21no—
604C2×C4×D13—21no—
605C2×C4×D13—21no—
606C2×C4×D13—21no—
607C2×C4×D13C2×D411yescharacteristic
608C2×C4×D13C2×D411yescharacteristic
609C2×C4×D13C2411yescharacteristic
610C2×C4×D13C2411yescharacteristic
611C2×C4×D13C2411yescharacteristic
612C2×Dic26—21no—
613C2×Dic26C2×D411yescharacteristic
614C2×Dic26C2411yescharacteristic
615C13×D8—22no—
616C13×D8—41no—
617C13×D8—41no—
618C2×C8×C13—41no—
619C2×C8×C13—41no—
620C2×C8×C13C2411yescharacteristic
621C2×C8×C13C2411yescharacteristic
622C2×C8×C13C2411yescharacteristic
623C2×C8×C13C2411yescharacteristic
624C13×C4⋊C4—21no—
625C13×C4⋊C4—21no—
626C13×C4⋊C4—21no—
627C13×C4⋊C4C2×D411yescharacteristic
628C13×C4⋊C4C2411yescharacteristic
629C13×C4⋊C4C2411yescharacteristic
630C13×C4⋊C4C2411yescharacteristic
631C13×C4⋊C4C2411yescharacteristic
632C13×C22⋊C4—21no—
633C13×C22⋊C4—21no—
634C13×C22⋊C4—21no—
635C13×C22⋊C4—21no—
636C13×C22⋊C4—21no—
637C13×C22⋊C4—21no—
638C13×C22⋊C4C2×D411yescharacteristic
639C13×C22⋊C4C2×D411yescharacteristic
640C42×C13C2411yescharacteristic
641C22⋊Dic13—21no—
642C22⋊Dic13—21no—
643C22⋊Dic13—21no—
644C22⋊Dic13—21no—
645C22⋊Dic13—21no—
646C22⋊Dic13—21no—
647C22⋊Dic13—21no—
648C22⋊Dic13—21no—
649C22⋊Dic13—21no—
650C22⋊Dic13—21no—
651C22⋊Dic13C2×D411yescharacteristic
652C22⋊Dic13C2×D411yescharacteristic
653#6105—41no—
654#6104—22no—
655#6104—22no—
656#6104—41no—
657#6104—41no—
658#6104—41no—
659#6103—21no—
660#6103—21no—
661#6103—21no—
662#6103—21no—
663#6103—21no—
664#6103—21no—
665#6103—21no—
666#6103—21no—
667#6103—21no—
668#6103—21no—
669#6103—21no—
670#6103—21no—
671#6103—21no—
672#6103—21no—
673#6103—21no—
674#6103—21no—
675#6103—21no—
676#6103—21no—
677#6103—21no—
678#6103C2×D411yescharacteristic
679#6103C2×D411yescharacteristic
680#6103C2×D411yescharacteristic
681#6103C2×D411yescharacteristic
682#6103C2×D411yescharacteristic
683#6103C2×D411yescharacteristic
684C4⋊Dic13—21no—
685C4⋊Dic13—21no—
686C4⋊Dic13—21no—
687C4⋊Dic13C2×D411yescharacteristic
688C4⋊Dic13C2411yescharacteristic
689C4⋊Dic13C2411yescharacteristic
690C4⋊Dic13C2411yescharacteristic
691C4⋊Dic13C2411yescharacteristic
692#6101—21no—
693#6101—21no—
694#6101—21no—
695#6101—21no—
696#6101—21no—
697#6101—21no—
698#6101—21no—
699#6101C2×D411yescharacteristic
700#6101C2×D411yescharacteristic
701#6101C2×D411yescharacteristic
702#6101C2×D411yescharacteristic
703C4×Dic13—21no—
704C4×Dic13—21no—
705C4×Dic13—21no—
706C4×Dic13—21no—
707C4×Dic13—21no—
708C4×Dic13—21no—
709C4×Dic13—21no—
710C4×Dic13C2411yescharacteristic
711#6099—41no—
712C2×#1055—41no—
713C2×#1055C2411yescharacteristic
714C2×#1055C2411yescharacteristic
715C2×#1055C2411yescharacteristic
716C2×#1055C2411yescharacteristic
717D104—22no—
718D104—41no—
719#6095—41no—
720#6094—22no—
721#6094—22no—
722#6094—41no—
723#6094—41no—
724#6094—41no—
725C8×D13—22no—
726C8×D13—22no—
727C8×D13—41no—
728#3494—131no—
729#3484—131no—
730#3325—131no—
731#3325—131no—
732#3322—131no—
733#3322—131no—
734#3319—131no—
735#3319—131no—
736#3318—131no—
737#3318—131no—
738#3318—131no—
739#3318—131no—
740#3306—131no—
741#3306—131no—
742#3297—131no—
743#3297—131no—
744#3294—131no—
745#3294D1311yescharacteristic, complemented
746#3136—131no—
747#3096—131no—
748#3091—131no—
749#3081—131no—
750#3058—131no—
751#3055—131no—
752#3041—131no—
753#3008—131no—
754C2×#447—131no—
755#2948—131no—
756#2933—131no—
757#2897—131no—
758C2×#418—131no—
759C23×C13—21no—
760C23×C13—21no—
761C23×C13—21no—
762C23×C13—21no—
763C23×C13—42no—
764C23×C13—42no—
765C23×C13—42no—
766C23×C13—81no—
767C23×C13—81no—
768C23×C13—81no—
769C23×C13C22×D411yescharacteristic
770C23×C13C22×D411yescharacteristic
771C22×D13—22no—
772C22×D13—21no—
773C22×D13—22no—
774C22×D13—24no—
775C22×D13—21no—
776C22×D13—21no—
777C22×D13—41no—
778C22×D13—42no—
779C22×D13—42no—
780C22×D13—42no—
781C22×D13—42no—
782C22×D13—42no—
783C22×D13—42no—
784C22×D13—42no—
785C22×D13—42no—
786C22×D13—42no—
787C22×D13—81no—
788C22×D13—81no—
789C22×D13—81no—
790C22×D13—81no—
791C22×D13—81no—
792C22×D13—81no—
793C22×D13—81no—
794C22×D13—81no—
795C22×D13—81no—
796C22×D13—81no—
797C22×D13—81no—
798C22×D13—816no—
799C22×D13C22×D411yescharacteristic
800C22×D13C22×D411yescharacteristic
801C22×D13C22×D411yescharacteristic
802Q8×C13—81no—
803D4×C13—22no—
804D4×C13—21no—
805D4×C13—21no—
806D4×C13—21no—
807D4×C13—21no—
808D4×C13—21no—
809D4×C13—21no—
810D4×C13—21no—
811D4×C13—42no—
812D4×C13—42no—
813D4×C13—42no—
814D4×C13—42no—
815D4×C13—81no—
816D4×C13—81no—
817D4×C13—81no—
818D4×C13—81no—
819D4×C13C2×#4112yes—
820C2×C4×C13—21no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
824C2×C4×C13—21no—
825C2×C4×C13—21no—
826C2×C4×C13—21no—
827C2×C4×C13—21no—
828C2×C4×C13—42no—
829C2×C4×C13—81no—
830C2×C4×C13—81no—
831C2×C4×C13—81no—
832C2×C4×C13C22×D411yescharacteristic
833C2×C4×C13C22×D411yescharacteristic
834C2×C4×C13C22×D411yescharacteristic
835C2×C4×C13C22×D411yescharacteristic
836C2×C4×C13C2511yescharacteristic
837C22⋊D13—22no—
838C22⋊D13—22no—
839C22⋊D13—22no—
840C22⋊D13—24no—
841C22⋊D13—41no—
842C22⋊D13—42no—
843C22⋊D13—42no—
844C22⋊D13—42no—
845C22⋊D13—42no—
846C22⋊D13—42no—
847C22⋊D13—42no—
848C22⋊D13—42no—
849C22⋊D13—42no—
850C22⋊D13—42no—
851C22⋊D13—42no—
852C22⋊D13—81no—
853C22⋊D13—81no—
854C22⋊D13—81no—
855C22⋊D13—81no—
856C22⋊D13—81no—
857C22⋊D13—81no—
858C22⋊D13—81no—
859C2×Dic13—22no—
860C2×Dic13—21no—
861C2×Dic13—21no—
862C2×Dic13—21no—
863C2×Dic13—21no—
864C2×Dic13—21no—
865C2×Dic13—42no—
866C2×Dic13—42no—
867C2×Dic13—81no—
868C2×Dic13—81no—
869C2×Dic13—81no—
870C2×Dic13C22×D411yescharacteristic
871C2×Dic13C22×D411yescharacteristic
872C2×Dic13C22×D411yescharacteristic
873C2×Dic13C22×D411yescharacteristic
874C2×Dic13C22×D411yescharacteristic
875D52—22no—
876D52—21no—
877D52—21no—
878D52—21no—
879D52—21no—
880D52—21no—
881D52—41no—
882D52—42no—
883D52—81no—
884D52—81no—
885D52—81no—
886D52C2×#4112yes—
887C4×D13—22no—
888C4×D13—21no—
889C4×D13—21no—
890C4×D13—21no—
891C4×D13—21no—
892C4×D13—22no—
893C4×D13—42no—
894C4×D13—81no—
895C4×D13—81no—
896C4×D13—81no—
897C4×D13—81no—
898C4×D13—81no—
899C4×D13—81no—
900C4×D13C2×#4112yes—
901C4×D13H(5,𝔽2)12yes—
902Dic26—22no—
903Dic26—21no—
904Dic26—21no—
905Dic26—81no—
906C8×C13—21no—
907C8×C13—21no—
908C8×C13—21no—
909C8×C13—21no—
910#1055—21no—
911#1055—21no—
912#1055—21no—
913#1055—21no—
914C2×H(5,𝔽2)—131no—
915C23×D4—131no—
916C2×AGL(1,ℤ/8)—131no—
917C22×D8—131no—
918C22×D8—131no—
919C2×#131—131no—
920C22×M16—131no—
921#555—131no—
922#555—131no—
923#553—131no—
924#553—131no—
925#553—131no—
926#553—131no—
927#551—261no—
928#551—261no—
929#547—131no—
930#547C2×D1311yescharacteristic, complemented
931#546—131no—
932#546—131no—
933#546—131no—
934#546—131no—
935#546—261no—
936#546—261no—
937#546—261no—
938#546—261no—
939D42—131no—
940D42—131no—
941D42—131no—
942D42—261no—
943D42—261no—
944D42C2×D1311yescharacteristic, complemented
945#544—131no—
946#542—261no—
947#540—261no—
948#535—131no—
949#535—131no—
950#535—131no—
951#534—261no—
952#534—261no—
953#532—261no—
954#529—261no—
955#525—131no—
956#525—131no—
957C2×#121—131no—
958C2×#120—261no—
959C2×#120—261no—
960#520—131no—
961#518—131no—
962#518—131no—
963C2×#117—131no—
964#490—131no—
965#490—131no—
966#489—131no—
967#489—131no—
968#488—131no—
969#488—131no—
970#486—131no—
971#486C2×D1311yescharacteristic, complemented
972#485—131no—
973#485—131no—
974#484—131no—
975#483—131no—
976#482—131no—
977#482—131no—
978#482—131no—
979#482—131no—
980#482—131no—
981#482—131no—
982#481—131no—
983#481—131no—
984#481—131no—
985#480—131no—
986#480C2×D1311yescharacteristic, complemented
987#480C2×D1311yescharacteristic, complemented
988#478—131no—
989#478—131no—
990#478—131no—
991#478—131no—
992#476—131no—
993#476—131no—
994#474—131no—
995#474C2×D1311yescharacteristic, complemented
996#469—131no—
997#469—131no—
998#469—131no—
999#469—131no—
1000#469—131no—
1001#469—131no—
1002#468—131no—
1003#468—131no—
1004#466—131no—
1005#466—131no—
1006#466—131no—
1007#466—131no—
1008#466C2×D1311yescharacteristic, complemented
1009#466C2×D1311yescharacteristic, complemented
1010#465—131no—
1011#465—131no—
1012#463—131no—
1013#463—131no—
1014#463—131no—
1015#463—131no—
1016#459—131no—
1017#459—131no—
1018#459—131no—
1019#459C2×D1311yescharacteristic, complemented
1020#449—131no—
1021#449—131no—
1022#449—131no—
1023#449—131no—
1024#447—131no—
1025#447—131no—
1026#447—131no—
1027#447—131no—
1028#447—131no—
1029#447—131no—
1030#447—131no—
1031#447—131no—
1032#447—131no—
1033#447—131no—
1034#447C2×D1311yescharacteristic, complemented
1035#447C2×D1311yescharacteristic, complemented
1036#442—131no—
1037#442—131no—
1038#442—131no—
1039#442—131no—
1040C4×D8—131no—
1041C4×D8—131no—
1042C4×D8—131no—
1043C4×D8C2×D1311yescharacteristic, complemented
1044#436—131no—
1045#436—131no—
1046#435—131no—
1047#435—131no—
1048#435—131no—
1049#435—131no—
1050C8×D4—131no—
1051C8×D4C2×D1311yescharacteristic, complemented
1052#428—131no—
1053#427—131no—
1054#427—131no—
1055#424—131no—
1056#418—131no—
1057#418—131no—
1058#418—131no—
1059#418—131no—
1060#418—131no—
1061#418—131no—
1062#418—131no—
1063#418—131no—
1064#418—131no—
1065#418—131no—
1066#418—131no—
1067#417—131no—
1068#417—131no—
1069#417—131no—
1070#416—131no—
1071#416—131no—
1072#416—131no—
1073#416—131no—
1074C2×#102—131no—
1075C2×#102—131no—
1076C2×#102—131no—
1077C2×#102—131no—
1078C2×#102—131no—
1079C2×#102—131no—
1080C2×#102C2×D1311yescharacteristic, complemented
1081C2×#102C2×D1311yescharacteristic, complemented
1082#408—131no—
1083C2×C22⋊C8—131no—
1084#405—131no—
1085C22×C13—21no—
1086C22×C13—21no—
1087C22×C13—21no—
1088C22×C13—22no—
1089C22×C13—21no—
1090C22×C13—21no—
1091C22×C13—41no—
1092C22×C13—41no—
1093C22×C13—41no—
1094C22×C13—41no—
1095C22×C13—41no—
1096C22×C13—41no—
1097C22×C13—41no—
1098C22×C13—41no—
1099C22×C13—41no—
1100C22×C13—41no—
1101C22×C13—41no—
1102C22×C13—84no—
1103C22×C13—162no—
1104C22×C13#57612yes—
1105C22×C13C23×D411yescharacteristic
1106C2×D13—21no—
1107C2×D13—21no—
1108C2×D13—21no—
1109C2×D13—21no—
1110C2×D13—21no—
1111C2×D13—21no—
1112C2×D13—22no—
1113C2×D13—21no—
1114C2×D13—21no—
1115C2×D13—44no—
1116C2×D13—41no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—41no—
1123C2×D13—41no—
1124C2×D13—84no—
1125C2×D13—84no—
1126C2×D13—84no—
1127C2×D13—84no—
1128C2×D13—84no—
1129C2×D13—162no—
1130C2×D13—162no—
1131C2×D13#54612yes—
1132C4×C13—21no—
1133C4×C13—21no—
1134C4×C13—21no—
1135C4×C13—21no—
1136C4×C13—41no—
1137C4×C13—41no—
1138C4×C13—41no—
1139C4×C13—41no—
1140C4×C13C22×#4111yescharacteristic
1141C4×C13C2×H(5,𝔽2)11yescharacteristic
1142Dic13—21no—
1143Dic13—21no—
1144Dic13—21no—
1145Dic13—21no—
1146Dic13—41no—
1147Dic13—41no—
1148Dic13—41no—
1149Dic13—41no—
1150Dic13—41no—
1151Dic13#54612yes—
1152C25—261no—
1153H(5,𝔽2)—264no—
1154H(5,𝔽2)—522no—
1155C2×#41—21no—
1156C2×#41—131no—
1157C2×#41—131no—
1158C2×#41—131no—
1159C2×#41—131no—
1160C2×#41—261no—
1161C2×#41—261no—
1162C22×D4—21no—
1163C22×D4—131no—
1164C22×D4—131no—
1165C22×D4—131no—
1166C22×D4—131no—
1167C22×D4—131no—
1168C22×D4—131no—
1169C22×D4—131no—
1170C22×D4—261no—
1171C22×D4—261no—
1172C22×D4—261no—
1173C22×D4—264no—
1174C22×D4—261no—
1175C22×D4—261no—
1176C22×D4—261no—
1177C22×D4—261no—
1178C22×D4—261no—
1179C22×D4—261no—
1180C22×D4—261no—
1181C22×D4—522no—
1182C22×D4C22×D1311yescharacteristic
1183C22×D4C22×D1311yescharacteristic
1184C23×C4—131no—
1185AGL(1,ℤ/8)—522no—
1186C2×SD16—131no—
1187C2×SD16—131no—
1188C2×D8—131no—
1189C2×D8—131no—
1190C2×D8—131no—
1191C2×D8—131no—
1192C2×D8—131no—
1193C2×D8—131no—
1194C2×D8—131no—
1195C2×D8—264no—
1196C2×D8—522no—
1197C2×D8C22×D1311yescharacteristic
1198C2×D8C22×D1311yescharacteristic
1199C2×D8C22×D1311yescharacteristic, complemented
1200#131—522no—
1201C2×M16—131no—
1202C2×M16—131no—
1203C2×M16—131no—
1204C2×M16—131no—
1205C2×M16—131no—
1206C2×M16—131no—
1207C2×M16—522no—
1208C22×C8—131no—
1209C22×C8—131no—
1210C22×C8—131no—
1211C22×C8—131no—
1212C22×C8C22×D1311yescharacteristic
1213C22×C8C22×D1311yescharacteristic, complemented
1214C4⋊Q8—131no—
1215C4⋊Q8—261no—
1216C4⋊Q8C22×D1311yescharacteristic, complemented
1217#127—131no—
1218#127—261no—
1219#127—261no—
1220#127C22×D1311yescharacteristic
1221#126—261no—
1222#126—261no—
1223#126—261no—
1224#126—261no—
1225#125—131no—
1226#125—131no—
1227#125—261no—
1228#124—131no—
1229#124—131no—
1230#124—261no—
1231#124—261no—
1232#124—261no—
1233#124—261no—
1234#124—261no—
1235#124—261no—
1236#123—21no—
1237#123—21no—
1238#123—131no—
1239#123—131no—
1240#123—261no—
1241#123—261no—
1242#123—261no—
1243#123—261no—
1244#123—261no—
1245#123—261no—
1246#123—261no—
1247#123—261no—
1248#123—261no—
1249#123—261no—
1250#123—261no—
1251C22⋊Q8—21no—
1252C22⋊Q8—131no—
1253C22⋊Q8—131no—
1254C22⋊Q8—131no—
1255C22⋊Q8—131no—
1256C22⋊Q8—261no—
1257C22⋊Q8—261no—
1258C22⋊Q8—261no—
1259#121—21no—
1260#121—131no—
1261#121—131no—
1262#121—131no—
1263#121—131no—
1264#121—131no—
1265#121—131no—
1266#121—131no—
1267#121—131no—
1268#121—131no—
1269#121—131no—
1270#121—131no—
1271#121—131no—
1272#121—261no—
1273#121—261no—
1274#121—261no—
1275#121—261no—
1276#121—261no—
1277#121—261no—
1278#121—261no—
1279#121—261no—
1280#121—261no—
1281#121—261no—
1282#121—261no—
1283#121—261no—
1284#121—261no—
1285#121—261no—
1286#121—261no—
1287#121—261no—
1288#121—261no—
1289#121C22×D1311yescharacteristic
1290#121C22×D1311yescharacteristic
1291#121C22×D1311yescharacteristic
1292#121C22×D1311yescharacteristic, complemented
1293#120—21no—
1294#120—21no—
1295#120—131no—
1296#120—131no—
1297#120—261no—
1298#120—261no—
1299#120—261no—
1300#120—261no—
1301#120—261no—
1302#120—261no—
1303#120—261no—
1304#120—261no—
1305#120—261no—
1306#120—261no—
1307#120—261no—
1308#120—261no—
1309#120—261no—
1310#120—261no—
1311#120—261no—
1312#120—261no—
1313#120—261no—
1314C4×Q8—261no—
1315C4×D4—131no—
1316C4×D4—131no—
1317C4×D4—131no—
1318C4×D4—131no—
1319C4×D4—131no—
1320C4×D4—131no—
1321C4×D4—131no—
1322C4×D4—131no—
1323C4×D4—131no—
1324C4×D4—261no—
1325C4×D4—261no—
1326C4×D4—261no—
1327C4×D4—261no—
1328C4×D4—261no—
1329C4×D4—261no—
1330C4×D4—261no—
1331C4×D4—261no—
1332C4×D4—261no—
1333C4×D4—261no—
1334C4×D4—261no—
1335C4×D4—261no—
1336C4×D4—261no—
1337C4×D4C22×D1311yescharacteristic
1338C4×D4C22×D1311yescharacteristic
1339C4×D4C22×D1311yescharacteristic, complemented
1340#117—131no—
1341#117—131no—
1342#117—131no—
1343#117—131no—
1344#117—131no—
1345#117—131no—
1346#117—131no—
1347#117—131no—
1348#117—261no—
1349#117—261no—
1350#117—261no—
1351#117—261no—
1352C2×C4⋊C4—131no—
1353C2×C4⋊C4—131no—
1354C2×C4⋊C4—131no—
1355C2×C4⋊C4C22×D1311yescharacteristic
1356C2×C4⋊C4C22×D1311yescharacteristic, complemented
1357C2×C22⋊C4—261no—
1358C2×C22⋊C4—261no—
1359C2×C22⋊C4—261no—
1360C2×C22⋊C4—261no—
1361C2×C22⋊C4—261no—
1362C2×C22⋊C4—261no—
1363C2×C22⋊C4—261no—
1364C2×C22⋊C4—261no—
1365C2×C22⋊C4—261no—
1366C2×C22⋊C4—261no—
1367C2×C42—261no—
1368#107—131no—
1369#107—131no—
1370#107—131no—
1371#107C22×D1311yescharacteristic, complemented
1372#107C22×D1311yescharacteristic, complemented
1373#107C22×D1311yescharacteristic, complemented
1374#106—131no—
1375#106—131no—
1376#106—131no—
1377#106—131no—
1378#106—131no—
1379#106—131no—
1380C4⋊C8—131no—
1381C4⋊C8—131no—
1382C4⋊C8—131no—
1383C4⋊C8C22×D1311yescharacteristic, complemented
1384#103—131no—
1385#103—131no—
1386#103—131no—
1387#103—131no—
1388#103—131no—
1389#103—131no—
1390#102—131no—
1391#102—131no—
1392#102—131no—
1393#102—131no—
1394#102—131no—
1395#102—131no—
1396#102—131no—
1397#102—131no—
1398#102—131no—
1399#102—131no—
1400#102—131no—
1401#102—131no—
1402#102—131no—
1403#102—131no—
1404#102—131no—
1405#102—131no—
1406#102—131no—
1407#102—131no—
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102C22×D1311yescharacteristic
1415#102C22×D1311yescharacteristic
1416#102C22×D1311yescharacteristic
1417#102C22×D1311yescharacteristic
1418#102C22×D1311yescharacteristic
1419#102C22×D1311yescharacteristic
1420#102C22×D1311yescharacteristic, complemented
1421#102C22×D1311yescharacteristic, complemented
1422#102C22×D1311yescharacteristic, complemented
1423#102C22×D1311yescharacteristic, complemented
1424C22⋊C8—131no—
1425C22⋊C8—131no—
1426C22⋊C8—131no—
1427C22⋊C8—131no—
1428C22⋊C8—131no—
1429C22⋊C8—131no—
1430C22⋊C8C22×D1311yescharacteristic
1431C22⋊C8C22×D1311yescharacteristic, complemented
1432#97—131no—
1433#97—131no—
1434C4×C8—131no—
1435C4×C8C22×D1311yescharacteristic, complemented
1436C2×C13—22no—
1437C2×C13—42no—
1438C2×C13—41no—
1439C2×C13—81no—
1440C2×C13—81no—
1441C2×C13—81no—
1442C2×C13C2×#54611yescharacteristic
1443C2×C13C2×#57611yescharacteristic
1444C2×C13#358511yescharacteristic
1445D13—22no—
1446D13—41no—
1447D13—41no—
1448D13—42no—
1449D13—81no—
1450D13—81no—
1451C24—21no—
1452C24—21no—
1453C24—131no—
1454C24—261no—
1455C24—261no—
1456C24—261no—
1457C24—261no—
1458C24—261no—
1459C24—261no—
1460C24—261no—
1461C24—524no—
1462C24—1042no—
1463C24—1042no—
1464#41—82no—
1465#41—262no—
1466#41—262no—
1467#41—262no—
1468#41—262no—
1469#41—262no—
1470#41—262no—
1471#41—521no—
1472#41—521no—
1473#41—524no—
1474#41—1042no—
1475C2×Q8—21no—
1476C2×Q8—131no—
1477C2×Q8—131no—
1478C2×Q8—261no—
1479C2×D4—22no—
1480C2×D4—22no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—82no—
1492C2×D4—134no—
1493C2×D4—131no—
1494C2×D4—131no—
1495C2×D4—131no—
1496C2×D4—131no—
1497C2×D4—131no—
1498C2×D4—131no—
1499C2×D4—131no—
1500C2×D4—131no—
1501C2×D4—131no—
1502C2×D4—262no—
1503C2×D4—261no—
1504C2×D4—261no—
1505C2×D4—261no—
1506C2×D4—262no—
1507C2×D4—262no—
1508C2×D4—262no—
1509C2×D4—262no—
1510C2×D4—262no—
1511C2×D4—261no—
1512C2×D4—261no—
1513C2×D4—261no—
1514C2×D4—261no—
1515C2×D4—261no—
1516C2×D4—261no—
1517C2×D4—261no—
1518C2×D4—261no—
1519C2×D4—262no—
1520C2×D4—262no—
1521C2×D4—262no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—261no—
1525C2×D4—261no—
1526C2×D4—261no—
1527C2×D4—261no—
1528C2×D4—261no—
1529C2×D4—261no—
1530C2×D4—261no—
1531C2×D4—261no—
1532C2×D4—261no—
1533C2×D4—521no—
1534C2×D4—521no—
1535C2×D4—521no—
1536C2×D4—521no—
1537C2×D4—524no—
1538C2×D4—524no—
1539C2×D4—524no—
1540C2×D4—524no—
1541C2×D4—524no—
1542C2×D4—524no—
1543C2×D4—1042no—
1544C2×D4—1042no—
1545C2×D4—1042no—
1546C2×D4—1042no—
1547C2×D4D4×D1311yescharacteristic
1548C2×D4C23×D1311yescharacteristic
1549C2×D4C23×D1311yescharacteristic
1550C2×D4C23×D1311yescharacteristic
1551C2×D4C23×D1311yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—131no—
1557C22×C4—131no—
1558C22×C4—131no—
1559C22×C4—131no—
1560C22×C4—131no—
1561C22×C4—131no—
1562C22×C4—262no—
1563C22×C4—262no—
1564C22×C4—261no—
1565C22×C4—261no—
1566C22×C4—261no—
1567C22×C4—261no—
1568C22×C4—261no—
1569C22×C4—261no—
1570C22×C4—261no—
1571C22×C4—261no—
1572C22×C4—261no—
1573C22×C4—261no—
1574C22×C4—261no—
1575C22×C4—261no—
1576C22×C4C23×D1311yescharacteristic
1577C22×C4C23×D1311yescharacteristic
1578SD16—521no—
1579SD16—521no—
1580D8—22no—
1581D8—41no—
1582D8—41no—
1583D8—262no—
1584D8—262no—
1585D8—262no—
1586D8—521no—
1587D8—521no—
1588D8—521no—
1589D8—521no—
1590M16—262no—
1591M16—262no—
1592M16—521no—
1593M16—521no—
1594M16—521no—
1595M16—521no—
1596C2×C8—41no—
1597C2×C8—41no—
1598C2×C8—131no—
1599C2×C8—131no—
1600C2×C8—131no—
1601C2×C8—131no—
1602C2×C8—262no—
1603C2×C8—262no—
1604C2×C8—521no—
1605C2×C8—521no—
1606C2×C8C23×D1311yescharacteristic
1607C2×C8C23×D1311yescharacteristic
1608C2×C8C23×D1311yescharacteristic
1609C2×C8C23×D1311yescharacteristic
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—131no—
1614C4⋊C4—131no—
1615C4⋊C4—131no—
1616C4⋊C4—131no—
1617C4⋊C4—131no—
1618C4⋊C4—131no—
1619C4⋊C4—131no—
1620C4⋊C4—131no—
1621C4⋊C4—131no—
1622C4⋊C4—261no—
1623C4⋊C4—261no—
1624C4⋊C4—261no—
1625C4⋊C4—261no—
1626C4⋊C4—261no—
1627C4⋊C4—261no—
1628C4⋊C4—261no—
1629C4⋊C4—261no—
1630C4⋊C4—261no—
1631C4⋊C4—261no—
1632C4⋊C4D4×D1311yescharacteristic
1633C4⋊C4C23×D1311yescharacteristic
1634C4⋊C4C23×D1311yescharacteristic
1635C4⋊C4C23×D1311yescharacteristic
1636C4⋊C4C23×D1311yescharacteristic
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—131no—
1644C22⋊C4—131no—
1645C22⋊C4—131no—
1646C22⋊C4—131no—
1647C22⋊C4—131no—
1648C22⋊C4—131no—
1649C22⋊C4—131no—
1650C22⋊C4—131no—
1651C22⋊C4—261no—
1652C22⋊C4—261no—
1653C22⋊C4—261no—
1654C22⋊C4—261no—
1655C22⋊C4—261no—
1656C22⋊C4—261no—
1657C22⋊C4—261no—
1658C22⋊C4—261no—
1659C22⋊C4—261no—
1660C22⋊C4—261no—
1661C22⋊C4—261no—
1662C22⋊C4—261no—
1663C22⋊C4—261no—
1664C22⋊C4—261no—
1665C22⋊C4—261no—
1666C22⋊C4—261no—
1667C22⋊C4—261no—
1668C22⋊C4—261no—
1669C22⋊C4—261no—
1670C22⋊C4—261no—
1671C22⋊C4—261no—
1672C22⋊C4—261no—
1673C22⋊C4—261no—
1674C22⋊C4—261no—
1675C22⋊C4—261no—
1676C22⋊C4—261no—
1677C22⋊C4—261no—
1678C22⋊C4—261no—
1679C22⋊C4—261no—
1680C22⋊C4D4×D1311yescharacteristic
1681C22⋊C4D4×D1311yescharacteristic
1682C42—131no—
1683C42—261no—
1684C42—261no—
1685C42—261no—
1686C42—261no—
1687C42—261no—
1688C42—261no—
1689C42—261no—
1690C42C23×D1311yescharacteristic
1691C13#6118311yescharacteristic, complemented, Sylow
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—131no—
1703C23—131no—
1704C23—131no—
1705C23—262no—
1706C23—264no—
1707C23—262no—
1708C23—261no—
1709C23—261no—
1710C23—261no—
1711C23—521no—
1712C23—522no—
1713C23—522no—
1714C23—522no—
1715C23—522no—
1716C23—522no—
1717C23—522no—
1718C23—522no—
1719C23—522no—
1720C23—522no—
1721C23—1041no—
1722C23—1041no—
1723C23—1041no—
1724C23—1041no—
1725C23—1041no—
1726C23—1041no—
1727C23—1041no—
1728C23—1041no—
1729C23—1041no—
1730C23—1041no—
1731C23—1041no—
1732C23—10416no—
1733C23C2×D4×D1311yescharacteristic
1734C23C2×D4×D1311yescharacteristic
1735Q8—81no—
1736Q8—262no—
1737Q8—261no—
1738Q8—261no—
1739Q8—1041no—
1740D4—22no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—132no—
1757D4—262no—
1758D4—264no—
1759D4—262no—
1760D4—262no—
1761D4—262no—
1762D4—261no—
1763D4—261no—
1764D4—261no—
1765D4—261no—
1766D4—261no—
1767D4—521no—
1768D4—522no—
1769D4—522no—
1770D4—522no—
1771D4—521no—
1772D4—522no—
1773D4—522no—
1774D4—522no—
1775D4—522no—
1776D4—522no—
1777D4—522no—
1778D4—522no—
1779D4—522no—
1780D4—1041no—
1781D4—1041no—
1782D4—1041no—
1783D4—1041no—
1784D4—1041no—
1785D4—1041no—
1786D4—1041no—
1787D4—1041no—
1788D4—1041no—
1789D4—1041no—
1790D4#41×D1312yes—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—81no—
1803C2×C4—131no—
1804C2×C4—132no—
1805C2×C4—132no—
1806C2×C4—131no—
1807C2×C4—131no—
1808C2×C4—131no—
1809C2×C4—131no—
1810C2×C4—262no—
1811C2×C4—262no—
1812C2×C4—262no—
1813C2×C4—261no—
1814C2×C4—261no—
1815C2×C4—261no—
1816C2×C4—261no—
1817C2×C4—261no—
1818C2×C4—261no—
1819C2×C4—261no—
1820C2×C4—261no—
1821C2×C4—261no—
1822C2×C4—522no—
1823C2×C4—522no—
1824C2×C4—522no—
1825C2×C4—1041no—
1826C2×C4—1041no—
1827C2×C4—1041no—
1828C2×C4—1041no—
1829C2×C4—1041no—
1830C2×C4—1041no—
1831C2×C4—1041no—
1832C2×C4—1041no—
1833C2×C4—1041no—
1834C2×C4C2×D4×D1311yescharacteristic
1835C2×C4C2×D4×D1311yescharacteristic
1836C2×C4C2×D4×D1311yescharacteristic
1837C2×C4C2×D4×D1311yescharacteristic
1838C2×C4C24×D1311yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—261no—
1844C8—261no—
1845C8—261no—
1846C8—261no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—84no—
1865C22—132no—
1866C22—162no—
1867C22—261no—
1868C22—261no—
1869C22—261no—
1870C22—261no—
1871C22—262no—
1872C22—261no—
1873C22—261no—
1874C22—261no—
1875C22—261no—
1876C22—524no—
1877C22—521no—
1878C22—521no—
1879C22—521no—
1880C22—521no—
1881C22—521no—
1882C22—521no—
1883C22—521no—
1884C22—521no—
1885C22—1044no—
1886C22—1044no—
1887C22—1044no—
1888C22—1044no—
1889C22—1044no—
1890C22—2082no—
1891C22—2082no—
1892C22#1171946212yes—
1893C22C22×D4×D1311yescharacteristic
1894C4—21no—
1895C4—21no—
1896C4—21no—
1897C4—21no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—132no—
1903C4—261no—
1904C4—261no—
1905C4—261no—
1906C4—261no—
1907C4—521no—
1908C4—521no—
1909C4—521no—
1910C4—521no—
1911C4—521no—
1912C4C2×#41×D1311yescharacteristic
1913C4D13×H(5,𝔽2)11yescharacteristic
1914C2—22no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—81no—
1920C2—262no—
1921C2—521no—
1922C2—521no—
1923C2—522no—
1924C2—1041no—
1925C2—1041no—
1926C2D13×#54611yescharacteristic
1927C2C2×#1171946211yescharacteristic
1928C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3294C2
socleC22×C13C23×D4
hypercenter#3294D13
hypocenterC13#61183
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #13128560C2semidirect
2. #13128464C2semidirect
3. #13127077C2semidirect
4. #13127071C2semidirect
5. #13127042C2semidirect
6. #13127040C2semidirect
7. #13126998C2semidirect
8. #13126989C2semidirect
9. #13126984C2semidirect
10. #13126983C2semidirect
11. #13126977C2semidirect
12. #13126973C2semidirect
13. #13126793C2semidirect
14. #13126791C2semidirect
15. #13126690C2semidirect
16. #13126688C2semidirect
17. #13126647C2semidirect
18. #13125185C2semidirect
19. #13124787C2semidirect
20. #13124744C2semidirect
21. #13124660C2semidirect
22. #13124479C2semidirect
23. #13124452C2semidirect
24. #13124334C2semidirect
25. #13124099C2semidirect
26. D13×#447C2semidirect
27. #13123683C2semidirect
28. #13123556C2semidirect
29. #13123357C2semidirect
30. C2×#11718431C2semidirect
31. C13×#3294C2semidirect
34. C13×#547C22semidirect
35. D42×C13C22semidirect
38. #11719511C22semidirect
40. D4×C22⋊D13C22semidirect
42. C2×#88165C22semidirect
44. C2×D8×D13C22semidirect
45. C2×#88155C22semidirect
46. C22×#6094C22semidirect
47. #11719439C22semidirect
48. #11719434C22semidirect
49. #11719422C22semidirect
57. #11719323C22semidirect
58. #11719321C22semidirect
59. #11719317C22semidirect
61. #11719314C22semidirect
63. #11719312C22semidirect
66. D13×#121C22semidirect
71. #11719270C22semidirect
72. #11719263C22semidirect
73. #11719259C22semidirect
74. #11719255C22semidirect
77. #11719250C22semidirect
78. #11719219C22semidirect
79. #11719212C22semidirect
80. #11719209C22semidirect
81. C2×#88146C22semidirect
82. C13×#486C22semidirect
83. C13×#480C22semidirect
84. C13×#480C22semidirect
85. C13×#474C22semidirect
86. C13×#466C22semidirect
87. C13×#466C22semidirect
88. C13×#459C22semidirect
89. C13×#447C22semidirect
90. C13×#447C22semidirect
91. C4×C13×D8C22semidirect
92. C8×D4×C13C22semidirect
93. C2×C13×#102C22semidirect
94. C2×C13×#102C22semidirect
95. #11718878C22semidirect
96. #11718878C22semidirect
97. #11718876C22semidirect
98. C2×#88072C22semidirect
99. #11718820C22semidirect
100. #11718819C22semidirect
101. #11718818C22semidirect
102. #11718817C22semidirect
103. #11718817C22semidirect
104. #11718817C22semidirect
105. #11718814C22semidirect
106. #11718811C22semidirect
107. D8×Dic13C22semidirect
108. #11718776C22semidirect
109. #11718775C22semidirect
110. #11718774C22semidirect
111. C2×#88061C22semidirect
112. #11718772C22semidirect
113. #11718772C22semidirect
114. #11718750C22semidirect
115. #11718745C22semidirect
116. #11718733C22semidirect
117. #11718732C22semidirect
118. #11718702C22semidirect
119. #11718700C22semidirect
120. #11718700C22semidirect
121. #11718699C22semidirect
122. #11718698C22semidirect
123. #11718697C22semidirect
124. #11718696C22semidirect
125. #11718695C22semidirect
126. #11718677C22semidirect
127. #11718675C22semidirect
128. #11718675C22semidirect
129. #11718672C22semidirect
130. #11718670C22semidirect
131. #11718632C22semidirect
132. #11718629C22semidirect
133. #11718627C22semidirect
134. C2×#88049C22semidirect
135. #11718552C22semidirect
136. #11718551C22semidirect
137. #11718549C22semidirect
138. #11718549C22semidirect
139. #11718547C22semidirect
140. #11718546C22semidirect
141. #11718544C22semidirect
142. #11718543C22semidirect
143. #11718542C22semidirect
144. #11718541C22semidirect
145. #11718541C22semidirect
146. #11718533C22semidirect
147. #11718508C22semidirect
148. #11718505C22semidirect
149. #11718500C22semidirect
150. #11718497C22semidirect
151. #11718448C22semidirect
152. #11718447C22semidirect
153. #11718446C22semidirect
154. #11718446C22semidirect
155. #11718445C22semidirect
156. #11718445C22semidirect
157. #11718445C22semidirect
158. #11718443C22semidirect
159. #11718443C22semidirect
160. #11718443C22semidirect
161. #11718442C22semidirect
162. #11718441C22semidirect
163. #11718438C22semidirect
164. #11718434C22semidirect
165. #11718434C22semidirect
166. #11718434C22semidirect
167. #11718433C22semidirect
168. #11718433C22semidirect
169. #11718433C22semidirect
170. #11718432C22semidirect
171. #11718432C22semidirect
174. #11718431C22semidirect
175. #11718431C22semidirect
176. #11718431C22semidirect
177. #11718431C22semidirect
178. #11718431C22semidirect
179. #11718431C22semidirect
180. #11718431C22semidirect
181. #11718431C22semidirect
183. D13×#102C22semidirect
184. D13×#102C22semidirect
185. #11718429C22semidirect
186. #11718427C22semidirect
187. #11718426C22semidirect
188. #11718425C22semidirect
189. #11718422C22semidirect
190. #11718421C22semidirect
191. #11718398C22semidirect
192. #11718395C22semidirect
193. #11718393C22semidirect
194. #11718390C22semidirect
195. #11718388C22semidirect
196. #11718386C22semidirect
197. D13×C22⋊C8C22semidirect
198. #11718383C22semidirect
199. #11718358C22semidirect
200. C4×D104C22semidirect
201. #11718350C22semidirect
202. #11718349C22semidirect
238. C2×C13×D8C23semidirect
240. C22×C8×C13C23semidirect
241. C13×C4⋊Q8C23semidirect
250. C13×#121C23semidirect
255. C4×D4×C13C23semidirect
257. C2×C13×C4⋊C4C23semidirect
282. #88192C23semidirect
301. D4×Dic13C23semidirect
302. C2×#6105C23semidirect
307. C2×#6104C23semidirect
312. #88184C23semidirect
327. #88180C23semidirect
331. C2×#6099C23semidirect
338. C2×#6095C23semidirect
345. C2×#6094C23semidirect
348. C2×C8×D13C23semidirect
358. #88149C23semidirect
365. #88147C23semidirect
374. #88146C23semidirect
376. C4⋊C4×D13C23semidirect
377. #88144C23semidirect
379. #88142C23semidirect
416. C4×D52C23semidirect
418. #88124C23semidirect
419. C13×#107C23semidirect
420. C13×#107C23semidirect
421. C13×#107C23semidirect
422. C13×C4⋊C8C23semidirect
429. C13×#102C23semidirect
430. C13×#102C23semidirect
431. C13×#102C23semidirect
432. C13×#102C23semidirect
434. C13×C22⋊C8C23semidirect
435. C4×C8×C13C23semidirect
442. #88072C23semidirect
443. #88072C23semidirect
444. #88072C23semidirect
445. #88072C23semidirect
447. C22⋊#1055C23semidirect
454. #88061C23semidirect
457. #88060C23semidirect
458. #88060C23semidirect
459. #88058C23semidirect
460. #88058C23semidirect
461. #88057C23semidirect
462. #88056C23semidirect
463. #88056C23semidirect
464. #88056C23semidirect
465. #88055C23semidirect
466. #88054C23semidirect
467. #88054C23semidirect
468. C8×Dic13C23semidirect
469. #88050C23semidirect
470. #88050C23semidirect
471. #88050C23semidirect
478. #88049C23semidirect
479. #88048C23semidirect
480. #88048C23semidirect
481. #88048C23semidirect
482. #88048C23semidirect
483. #88048C23semidirect
484. #88047C23semidirect
485. C4⋊#1055C23semidirect
486. #88043C23semidirect
581. D4×D13#41semidirect
745. #3294D13semidirect
930. #547C2×D13semidirect
944. D42C2×D13semidirect
971. #486C2×D13semidirect
986. #480C2×D13semidirect
987. #480C2×D13semidirect
995. #474C2×D13semidirect
1008. #466C2×D13semidirect
1009. #466C2×D13semidirect
1019. #459C2×D13semidirect
1034. #447C2×D13semidirect
1035. #447C2×D13semidirect
1043. C4×D8C2×D13semidirect
1051. C8×D4C2×D13semidirect
1080. C2×#102C2×D13semidirect
1081. C2×#102C2×D13semidirect
1199. C2×D8C22×D13semidirect
1213. C22×C8C22×D13semidirect
1216. C4⋊Q8C22×D13semidirect
1292. #121C22×D13semidirect
1339. C4×D4C22×D13semidirect
1356. C2×C4⋊C4C22×D13semidirect
1371. #107C22×D13semidirect
1372. #107C22×D13semidirect
1373. #107C22×D13semidirect
1383. C4⋊C8C22×D13semidirect
1420. #102C22×D13semidirect
1421. #102C22×D13semidirect
1422. #102C22×D13semidirect
1423. #102C22×D13semidirect
1431. C22⋊C8C22×D13semidirect
1435. C4×C8C22×D13semidirect
1691. C13#61183semidirect

Maximal subgroups

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

subgroupindex
#131285602
#131284642
#131270772
#131270712
#131270422
#131270402
#131269982
#131269892
#131269842
#131269832
#131269772
#131269732
#131267932
#131267912
#131266902
#131266882
#131266472
#131251852
#131247872
#131247442
#131246602
#131244792
#131244522
#131243342
#131240992
D13×#4472
#131236832
#131235562
#131233572
C2×#117184312
C13×#32942
#6118313