Finite Group Databasebeta

← #16740070

Subgroups — #16740070

Order 3328.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D13×#553C211yesmaximal, characteristic, complemented
2D4×#6129C211yesmaximal, characteristic, complemented
3#13127095C211yesmaximal, characteristic, complemented
4#13127087C211yesmaximal, characteristic, complemented
5#13127041C211yesmaximal, characteristic, complemented
6#13127033C211yesmaximal, characteristic, complemented
7#13127009C211yesmaximal, characteristic, complemented
8#13127001C211yesmaximal, characteristic, complemented
9#13126977C211yesmaximal, characteristic, complemented
10#13126849C211yesmaximal, characteristic, complemented
11#13126841C211yesmaximal, characteristic, complemented
12#13126817C211yesmaximal, characteristic, complemented
13#13126809C211yesmaximal, characteristic, complemented
14#13126744C211yesmaximal, characteristic, complemented
15#13126736C211yesmaximal, characteristic, complemented
16#13126690C211yesmaximal, characteristic, complemented
17#13126682C211yesmaximal, characteristic, complemented
18#13125235C211yesmaximal, characteristic, complemented
19#13124764C211yesmaximal, characteristic, complemented
20#13124758C211yesmaximal, characteristic, complemented
21#13124653C211yesmaximal, characteristic, complemented
22#13124454C211yesmaximal, characteristic, complemented
23#13124452C211yesmaximal, characteristic, complemented
24#13124295C211yesmaximal, characteristic, complemented
25#13124083C211yesmaximal, characteristic, complemented
26#13124083C211yesmaximal, characteristic, complemented
27#13123647C211yesmaximal, characteristic, complemented
28#13123569C211yesmaximal, characteristic, complemented
29#13123350C211yesmaximal, characteristic, complemented
30C2×#11718432C211yesmaximal, characteristic, complemented
31C13×#3318C211yesmaximal, characteristic, complemented
32C22×#6129C2211yescharacteristic
33C22×#6129C2211yescharacteristic
34C13×#553C2211yescharacteristic
35D42×C13C2211yescharacteristic, complemented
36#11719511C2211yescharacteristic, complemented
37#11719511C2211yescharacteristic, complemented
38D4×C22⋊D13—21no—
39C2×D4×Dic13—21no—
40C2×#88165C2211yescharacteristic
41C2×#88165C2211yescharacteristic, complemented
42C2×#88165C2211yescharacteristic, complemented
43C2×M16×D13C2211yescharacteristic, complemented
44C22×#6094C2211yescharacteristic, complemented
45#11719423C2211yescharacteristic, complemented
46#11719421C2211yescharacteristic
47#11719414—21no—
48D13×#126—21no—
49#11719400C2211yescharacteristic, complemented
50D13×#125C2211yescharacteristic, complemented
51#11719366—21no—
52D13×#123—21no—
53#11719323C2211yescharacteristic, complemented
54#11719319C2211yescharacteristic, complemented
55#11719316—21no—
56#11719311C2211yescharacteristic
57#11719311C2211yescharacteristic
58D13×#121—21no—
59D13×#121C2211yescharacteristic, complemented
60D13×#121C2211yescharacteristic, complemented
61#11719306—21no—
62#11719303C2211yescharacteristic, complemented
63#11719303C2211yescharacteristic, complemented
64#11719301—21no—
65#11719296—21no—
66#11719296—21no—
67#11719291—21no—
68#11719291—21no—
69#11719270C2211yescharacteristic
70#11719263C2211yescharacteristic, complemented
71#11719260C2211yescharacteristic, complemented
72C4×D4×D13—21no—
73C4×D4×D13C2211yescharacteristic
74C4×D4×D13C2211yescharacteristic, complemented
75#11719245—21no—
76D4×Dic26C2211yescharacteristic, complemented
77C4×#6129C2211yescharacteristic
78#11719235C2211yescharacteristic, complemented
79D13×#117C2211yescharacteristic, complemented
80#11719219C2211yescharacteristic, complemented
81C2×C4⋊C4×D13C2211yescharacteristic, complemented
82C13×#490C2211yescharacteristic, complemented
83C13×#482C2211yescharacteristic, complemented
84C13×#481C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#469C2211yescharacteristic, complemented
87C13×#466C2211yescharacteristic, complemented
88C13×#459C2211yescharacteristic, complemented
89C13×#447C2211yescharacteristic, complemented
90C13×#447C2211yescharacteristic, complemented
91C13×#442C2211yescharacteristic, complemented
92C13×#435C2211yescharacteristic, complemented
93C13×#418C2211yescharacteristic, complemented
94C2×C13×#102C2211yescharacteristic, complemented
95#11718878C2211yescharacteristic, complemented
96#11718878C2211yescharacteristic, complemented
97#11718876C2211yescharacteristic, complemented
98C2×#88072C2211yescharacteristic, complemented
99#11718820C2211yescharacteristic, complemented
100#11718819C2211yescharacteristic, complemented
101#11718819C2211yescharacteristic, complemented
102#11718819C2211yescharacteristic, complemented
103#11718819C2211yescharacteristic, complemented
104#11718818C2211yescharacteristic, complemented
105#11718814C2211yescharacteristic, complemented
106#11718814C2211yescharacteristic, complemented
107D8×Dic13C2211yescharacteristic, complemented
108#11718795C2211yescharacteristic, complemented
109#11718789C2211yescharacteristic, complemented
110#11718781C2211yescharacteristic, complemented
111#11718775C2211yescharacteristic, complemented
112C8×C22⋊D13C2211yescharacteristic, complemented
113C2×#88056C2211yescharacteristic, complemented
114#11718733C2211yescharacteristic, complemented
115#11718732C2211yescharacteristic, complemented
116#11718730C2211yescharacteristic, complemented
117#11718724C2211yescharacteristic, complemented
118#11718703C2211yescharacteristic, complemented
119#11718702C2211yescharacteristic, complemented
120#11718701C2211yescharacteristic, complemented
121#11718701C2211yescharacteristic, complemented
122#11718700C2211yescharacteristic, complemented
123#11718699C2211yescharacteristic, complemented
124#11718696C2211yescharacteristic, complemented
125#11718695C2211yescharacteristic, complemented
126#11718680C2211yescharacteristic, complemented
127#11718679C2211yescharacteristic, complemented
128#11718675C2211yescharacteristic, complemented
129#11718672C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718665C2211yescharacteristic, complemented
132#11718657C2211yescharacteristic, complemented
133#11718631C2211yescharacteristic, complemented
134C2×#88050C2211yescharacteristic, complemented
135#11718549C2211yescharacteristic, complemented
136#11718547C2211yescharacteristic, complemented
137#11718542C2211yescharacteristic, complemented
138#11718538C2211yescharacteristic, complemented
139#11718528C2211yescharacteristic, complemented
140#11718525C2211yescharacteristic, complemented
141#11718523C2211yescharacteristic, complemented
142#11718523C2211yescharacteristic, complemented
143#11718522C2211yescharacteristic, complemented
144#11718522C2211yescharacteristic, complemented
145#11718518C2211yescharacteristic, complemented
146#11718513C2211yescharacteristic, complemented
147#11718502C2211yescharacteristic, complemented
148#11718498C2211yescharacteristic, complemented
149#11718497C2211yescharacteristic, complemented
150#11718490C2211yescharacteristic, complemented
151#11718448C2211yescharacteristic, complemented
152#11718448C2211yescharacteristic, complemented
153#11718445C2211yescharacteristic, complemented
154#11718443C2211yescharacteristic, complemented
155#11718442C2211yescharacteristic, complemented
156#11718442C2211yescharacteristic, complemented
157#11718442C2211yescharacteristic, complemented
158#11718442C2211yescharacteristic, complemented
159#11718441C2211yescharacteristic, complemented
160#11718440C2211yescharacteristic, complemented
161#11718439C2211yescharacteristic, complemented
162#11718436C2211yescharacteristic, complemented
163#11718435C2211yescharacteristic, complemented
164#11718435C2211yescharacteristic, complemented
165#11718433C2211yescharacteristic, complemented
166#11718433C2211yescharacteristic, complemented
167#11718433C2211yescharacteristic, complemented
168#11718433C2211yescharacteristic, complemented
169#11718432C2211yescharacteristic
170#11718432C2211yescharacteristic
171#11718432C2211yescharacteristic
172#11718432C2211yescharacteristic, complemented
173#11718432C2211yescharacteristic, complemented
174#11718432C2211yescharacteristic, complemented
175#11718432C2211yescharacteristic, complemented
176#11718432C2211yescharacteristic, complemented
177#11718432C2211yescharacteristic, complemented
178#11718432C2211yescharacteristic, complemented
179#11718432C2211yescharacteristic, complemented
180#11718432C2211yescharacteristic, complemented
181#11718432C2211yescharacteristic, complemented
182#11718431C2211yescharacteristic, complemented
183#11718429C2211yescharacteristic, complemented
184#11718429C2211yescharacteristic, complemented
185#11718429C2211yescharacteristic, complemented
186#11718429C2211yescharacteristic, complemented
187#11718427C2211yescharacteristic, complemented
188#11718424C2211yescharacteristic, complemented
189#11718419C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718399C2211yescharacteristic, complemented
192#11718399C2211yescharacteristic, complemented
193#11718390C2211yescharacteristic, complemented
194#11718387C2211yescharacteristic, complemented
195#11718387C2211yescharacteristic, complemented
196#11718386C2211yescharacteristic, complemented
197#11718384C2211yescharacteristic, complemented
198#11718383C2211yescharacteristic, complemented
199#11718371C2211yescharacteristic, complemented
200#11718368C2211yescharacteristic, complemented
201#11718367C2211yescharacteristic, complemented
202#11718364C2211yescharacteristic, 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—24no—
211C2×#6129—24no—
212C2×#6129—21no—
213C2×#6129—21no—
214C2×#6129—21no—
215C2×#6129—21no—
216C2×#6129—42no—
217C2×#6129—42no—
218C2×#6129C2311yescharacteristic
219C2×#6129C2311yescharacteristic
220C2×#6129C2311yescharacteristic
221C2×#6129C2311yescharacteristic
222C2×#6129C2311yescharacteristic
223C2×#6129C2311yescharacteristic
224C2×#6129C2311yescharacteristic
225C2×D4×D13—21no—
226C2×D4×D13—21no—
227C2×D4×D13D411yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C22×C4×D13—21no—
230C22×C4×D13—21no—
231C22×C4×D13C2311yescharacteristic
232C22×C4×D13C2311yescharacteristic
233C22×Dic26C2311yescharacteristic
234C22×Dic26C2311yescharacteristic
235C2×C13×D8C2311yescharacteristic
236C2×C13×D8C2311yescharacteristic
237C2×C13×D8C2311yescharacteristic
238C2×C13×M16C2311yescharacteristic
239C22×C8×C13C2311yescharacteristic
240C13×#127C2311yescharacteristic
241C13×#126—21no—
242C13×#125C2311yescharacteristic
243C13×#123—21no—
244C13×#121—21no—
245C13×#121—21no—
246C13×#121C2311yescharacteristic
247C13×#121C2311yescharacteristic
248C13×#121C2311yescharacteristic
249C13×#121C2311yescharacteristic
250C13×#120—21no—
251C13×#120—21no—
252C4×D4×C13—21no—
253C4×D4×C13C2311yescharacteristic
254C4×D4×C13C2311yescharacteristic
255C4×D4×C13C2311yescharacteristic
256C13×#117C2311yescharacteristic
257C2×C13×C4⋊C4C2311yescharacteristic
258#88207—21no—
259#88207—21no—
260C2×C22⋊Dic13—21no—
261C2×C22⋊Dic13—21no—
262#88194—21no—
263#88193—21no—
264#88193—21no—
265#88193—21no—
266#88193—21no—
267#88193—21no—
268#88193—21no—
269#88193—21no—
270#88193—21no—
271#88193—21no—
272#88193—21no—
273#88192—21no—
274#88192—21no—
275#88192—21no—
276#88192C2311yescharacteristic
277#88192C2311yescharacteristic
278#88192C2311yescharacteristic
279#88192C2311yescharacteristic
280#88191—21no—
281#88191—21no—
282#88190C2311yescharacteristic
283#88190C2311yescharacteristic
284#88189—21no—
285#88189—21no—
286#88189—21no—
287D4×Dic13—21no—
288D4×Dic13—21no—
289D4×Dic13—21no—
290D4×Dic13—21no—
291D4×Dic13—21no—
292D4×Dic13—21no—
293D4×Dic13—21no—
294D4×Dic13—21no—
295D4×Dic13—21no—
296D4×Dic13D411yescharacteristic
297D4×Dic13C2311yescharacteristic
298D4×Dic13C2311yescharacteristic
299C2×#6105C2311yescharacteristic
300C2×#6105C2311yescharacteristic
301C2×#6105C2311yescharacteristic
302C2×#6104C2311yescharacteristic
303C2×#6104C2311yescharacteristic
304C2×#6104C2311yescharacteristic
305#88184—21no—
306#88184—21no—
307#88184C2311yescharacteristic
308#88184C2311yescharacteristic
309#88183—21no—
310C4×C22⋊D13—21no—
311C4×C22⋊D13—21no—
312C4×C22⋊D13—21no—
313C4×C22⋊D13—21no—
314C4×C22⋊D13C2311yescharacteristic
315C4×C22⋊D13C2311yescharacteristic
316#88180C2311yescharacteristic
317C2×C4⋊Dic13—21no—
318C2×C4⋊Dic13C2311yescharacteristic
319#88178C2311yescharacteristic
320#88178C2311yescharacteristic
321C2×#6101—21no—
322C2×C4×Dic13—21no—
323C2×#6099C2311yescharacteristic
324C22×#1055C2311yescharacteristic
325#88165—24no—
326#88165—42no—
327#88165—42no—
328M16×D13—42no—
329C2×#6095C2311yescharacteristic
330C2×#6095C2311yescharacteristic
331C2×#6095C2311yescharacteristic
332C2×#6094—42no—
333C2×#6094C2311yescharacteristic
334C2×#6094C2311yescharacteristic
335C2×#6094C2311yescharacteristic
336C2×#6094C2311yescharacteristic
337C2×#6094C2311yescharacteristic
338C2×#6094C2311yescharacteristic
339C2×C8×D13C2311yescharacteristic
340C2×C8×D13C2311yescharacteristic
341#88152—21no—
342#88152—21no—
343#88152—21no—
344#88151C2311yescharacteristic
345#88151C2311yescharacteristic
346#88149—21no—
347#88149C2311yescharacteristic
348#88149C2311yescharacteristic
349#88148—21no—
350#88148—21no—
351#88147—21no—
352#88147D411yescharacteristic
353#88147C2311yescharacteristic
354#88146C2311yescharacteristic
355#88146C2311yescharacteristic
356#88146C2311yescharacteristic
357C4⋊C4×D13—21no—
358C4⋊C4×D13—21no—
359C4⋊C4×D13—21no—
360C4⋊C4×D13—21no—
361C4⋊C4×D13D411yescharacteristic
362C4⋊C4×D13C2311yescharacteristic
363C4⋊C4×D13C2311yescharacteristic
364C4⋊C4×D13C2311yescharacteristic
365C4⋊C4×D13C2311yescharacteristic
366C4⋊C4×D13C2311yescharacteristic
367#88144C2311yescharacteristic
368#88144C2311yescharacteristic
369#88143—21no—
370#88143—21no—
371#88142—21no—
372#88141C2311yescharacteristic
373#88140—21no—
374#88140—21no—
375#88140—21no—
376#88139—21no—
377#88139—21no—
378#88138—21no—
379#88138—21no—
380#88138—21no—
381#88138—21no—
382#88137—21no—
383#88137—21no—
384#88137—21no—
385#88137—21no—
386#88135—21no—
387#88135—21no—
388#88135—21no—
389#88135—21no—
390#88135—21no—
391#88135—21no—
392#88135D411yescharacteristic
393#88135D411yescharacteristic
394C22⋊C4×D13—21no—
395C22⋊C4×D13—21no—
396C22⋊C4×D13—21no—
397C22⋊C4×D13—21no—
398C22⋊C4×D13D411yescharacteristic
399C22⋊C4×D13D411yescharacteristic
400#88133—21no—
401#88133—21no—
402#88133—21no—
403#88132—21no—
404#88132—21no—
405#88132—21no—
406#88132—21no—
407#88131—21no—
408#88131—21no—
409#88130—21no—
410C4×D52—21no—
411C4×D52C2311yescharacteristic
412C4×D52C2311yescharacteristic
413#88126—21no—
414C42×D13—21no—
415C42×D13C2311yescharacteristic
416#88124C2311yescharacteristic
417#88123C2311yescharacteristic
418C4×Dic26C2311yescharacteristic
419C13×#107C2311yescharacteristic
420C13×#106C2311yescharacteristic
421C13×#106C2311yescharacteristic
422C13×C4⋊C8C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×#102C2311yescharacteristic
427C13×#102C2311yescharacteristic
428C13×#102C2311yescharacteristic
429C13×#102C2311yescharacteristic
430C13×#102C2311yescharacteristic
431C13×#102C2311yescharacteristic
432C13×#102C2311yescharacteristic
433C13×C22⋊C8C2311yescharacteristic
434C13×C22⋊C8C2311yescharacteristic
435C13×#97C2311yescharacteristic
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438#88072C2311yescharacteristic
439#88072C2311yescharacteristic
440#88072C2311yescharacteristic
441#88072C2311yescharacteristic
442#88072C2311yescharacteristic
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic
448#88061C2311yescharacteristic
449#88060C2311yescharacteristic
450#88060C2311yescharacteristic
451#88060C2311yescharacteristic
452#88060C2311yescharacteristic
453#88058C2311yescharacteristic
454#88058C2311yescharacteristic
455#88057C2311yescharacteristic
456#88056C2311yescharacteristic
457#88056C2311yescharacteristic
458#88056C2311yescharacteristic
459#88056C2311yescharacteristic
460#88056C2311yescharacteristic
461#88056C2311yescharacteristic
462#88056C2311yescharacteristic
463#88056C2311yescharacteristic
464#88056C2311yescharacteristic
465#88054C2311yescharacteristic
466#88054C2311yescharacteristic
467C8×Dic13C2311yescharacteristic
468C8×Dic13C2311yescharacteristic
469#88050C2311yescharacteristic
470#88050C2311yescharacteristic
471#88050C2311yescharacteristic
472#88050C2311yescharacteristic
473#88050C2311yescharacteristic
474#88050C2311yescharacteristic
475#88050C2311yescharacteristic
476#88050C2311yescharacteristic
477#88050C2311yescharacteristic
478#88049C2311yescharacteristic
479#88048C2311yescharacteristic
480#88048C2311yescharacteristic
481#88048C2311yescharacteristic
482#88047C2311yescharacteristic
483#88047C2311yescharacteristic
484#88047C2311yescharacteristic
485C4⋊#1055C2311yescharacteristic
486#88043C2311yescharacteristic
487#61164—131nomaximal, Sylow
488C24×C13—21no—
489C24×C13—21no—
490C23×D13—21no—
491C23×D13C2×D411yescharacteristic
492C23×D13C2×D411yescharacteristic
493C2×D4×C13—22no—
494C2×D4×C13—22no—
495C2×D4×C13—21no—
496C2×D4×C13—21no—
497C2×D4×C13—21no—
498C2×D4×C13—21no—
499C2×D4×C13—21no—
500C2×D4×C13—21no—
501C2×D4×C13—21no—
502C2×D4×C13—21no—
503C2×D4×C13—41no—
504C2×D4×C13—41no—
505C2×D4×C13—44no—
506C2×D4×C13C2×D411yescharacteristic
507C2×D4×C13C2411yescharacteristic
508C2×D4×C13C2411yescharacteristic
509C2×D4×C13C2411yescharacteristic
510C2×D4×C13C2411yescharacteristic
511C22×C4×C13—21no—
512C22×C4×C13—21no—
513C22×C4×C13—21no—
514C22×C4×C13C2411yescharacteristic
515C22×C4×C13C2411yescharacteristic
516C2×C22⋊D13—21no—
517C2×C22⋊D13—21no—
518C2×C22⋊D13—21no—
519C2×C22⋊D13—21no—
520C2×C22⋊D13—21no—
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—44no—
531C2×C22⋊D13—44no—
532C2×C22⋊D13C2×D411yescharacteristic
533C2×C22⋊D13C2×D411yescharacteristic
534C22×Dic13—21no—
535C22×Dic13—21no—
536C22×Dic13—21no—
537C22×Dic13—21no—
538C22×Dic13—21no—
539C22×Dic13—21no—
540C22×Dic13—21no—
541C22×Dic13—21no—
542C22×Dic13—21no—
543C22×Dic13—21no—
544C22×Dic13—21no—
545C22×Dic13—21no—
546C22×Dic13—44no—
547C22×Dic13—44no—
548C22×Dic13C2×D411yescharacteristic
549C22×Dic13C2×D411yescharacteristic
550#6129—22no—
551#6129—22no—
552#6129—22no—
553#6129—22no—
554#6129—22no—
555#6129—22no—
556#6129—22no—
557#6129—22no—
558#6129—22no—
559#6129—41no—
560#6129—41no—
561#6129—41no—
562#6129—41no—
563#6129—44no—
564#6129—44no—
565#6129—44no—
566#6129—44no—
567#6129#4114yes—
568D4×D13—22no—
569D4×D13—22no—
570D4×D13—42no—
571D4×D13—44no—
572D4×D13—82no—
573C2×D52—21no—
574C2×D52—21no—
575C2×D52C2×D411yescharacteristic
576C2×D52C2411yescharacteristic
577C2×C4×D13—22no—
578C2×C4×D13—22no—
579C2×C4×D13—22no—
580C2×C4×D13—22no—
581C2×C4×D13—21no—
582C2×C4×D13—21no—
583C2×C4×D13—21no—
584C2×C4×D13—21no—
585C2×C4×D13—21no—
586C2×C4×D13—21no—
587C2×C4×D13—21no—
588C2×C4×D13—82no—
589C2×C4×D13—82no—
590C2×C4×D13C2×D411yescharacteristic
591C2×C4×D13C2×D411yescharacteristic
592C2×C4×D13C2×D411yescharacteristic
593C2×C4×D13C2×D411yescharacteristic
594C2×C4×D13C2×D411yescharacteristic
595C2×C4×D13C2×D411yescharacteristic
596C2×C4×D13C2411yescharacteristic
597C2×C4×D13C2411yescharacteristic
598C2×C4×D13C2411yescharacteristic
599C2×Dic26—22no—
600C2×Dic26—22no—
601C2×Dic26—21no—
602C2×Dic26—21no—
603C2×Dic26—41no—
604C2×Dic26—41no—
605C2×Dic26C2411yescharacteristic
606C2×Dic26C2411yescharacteristic
607C2×Dic26C2411yescharacteristic
608C13×D8—22no—
609C13×D8—41no—
610C13×D8—41no—
611C13×M16—41no—
612C2×C8×C13—41no—
613C2×C8×C13C2411yescharacteristic
614C2×C8×C13C2411yescharacteristic
615C2×C8×C13C2411yescharacteristic
616C2×C8×C13C2411yescharacteristic
617C13×C4⋊C4—21no—
618C13×C4⋊C4—21no—
619C13×C4⋊C4—21no—
620C13×C4⋊C4C2×D411yescharacteristic
621C13×C4⋊C4C2411yescharacteristic
622C13×C4⋊C4C2411yescharacteristic
623C13×C4⋊C4C2411yescharacteristic
624C13×C4⋊C4C2411yescharacteristic
625C13×C22⋊C4—21no—
626C13×C22⋊C4—21no—
627C13×C22⋊C4—21no—
628C13×C22⋊C4—21no—
629C13×C22⋊C4—21no—
630C13×C22⋊C4—21no—
631C13×C22⋊C4—21no—
632C13×C22⋊C4C2×D411yescharacteristic
633C13×C22⋊C4C2×D411yescharacteristic
634C42×C13—21no—
635C42×C13C2411yescharacteristic
636C22⋊Dic13—21no—
637C22⋊Dic13—21no—
638C22⋊Dic13—21no—
639C22⋊Dic13—21no—
640C22⋊Dic13—21no—
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⋊Dic13C2×D411yescharacteristic
650C22⋊Dic13C2×D411yescharacteristic
651#6105—22no—
652#6105—41no—
653#6105—41no—
654#6104—22no—
655#6104—41no—
656#6104—41no—
657#6103—21no—
658#6103—21no—
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#6103C2×D411yescharacteristic
669#6103C2×D411yescharacteristic
670#6103C2×D411yescharacteristic
671#6103C2×D411yescharacteristic
672C4⋊Dic13—21no—
673C4⋊Dic13—21no—
674C4⋊Dic13—21no—
675C4⋊Dic13—21no—
676C4⋊Dic13—21no—
677C4⋊Dic13—21no—
678C4⋊Dic13—21no—
679C4⋊Dic13C2×D411yescharacteristic
680C4⋊Dic13C2411yescharacteristic
681C4⋊Dic13C2411yescharacteristic
682C4⋊Dic13C2411yescharacteristic
683C4⋊Dic13C2411yescharacteristic
684#6101—21no—
685#6101—21no—
686#6101—21no—
687#6101—21no—
688#6101—21no—
689#6101—21no—
690#6101—21no—
691#6101—21no—
692#6101—21no—
693#6101—21no—
694#6101—21no—
695#6101—21no—
696#6101—21no—
697#6101C2×D411yescharacteristic
698#6101C2×D411yescharacteristic
699C4×Dic13—21no—
700C4×Dic13—21no—
701C4×Dic13—21no—
702C4×Dic13—21no—
703C4×Dic13—21no—
704C4×Dic13—21no—
705C4×Dic13C2×D411yescharacteristic
706C4×Dic13C2×D411yescharacteristic
707C4×Dic13C2411yescharacteristic
708#6099—41no—
709C2×#1055—41no—
710C2×#1055C2411yescharacteristic
711C2×#1055C2411yescharacteristic
712C2×#1055C2411yescharacteristic
713C2×#1055C2411yescharacteristic
714#6095—22no—
715#6095—41no—
716#6095—41no—
717#6094—22no—
718#6094—22no—
719#6094—22no—
720#6094—22no—
721#6094—41no—
722#6094—41no—
723C8×D13—41no—
724C8×D13—41no—
725C2×#553—131no—
726D4×#41—131no—
727#3326—131no—
728#3326—131no—
729#3322—131no—
730#3322—131no—
731#3320—131no—
732#3320—131no—
733#3318—131no—
734#3318D1311yescharacteristic, complemented
735#3309—131no—
736#3309—131no—
737#3307—131no—
738#3307—131no—
739#3301—131no—
740#3301—131no—
741#3297—131no—
742#3297—131no—
743#3142—131no—
744#3093—131no—
745#3092—131no—
746#3080—131no—
747#3055—131no—
748#3055—131no—
749#3036—131no—
750#3006—131no—
751#3006—131no—
752C4×AGL(1,ℤ/8)—131no—
753D4×M16—131no—
754#2896—131no—
755C2×#417—131no—
756C23×C13—21no—
757C23×C13—21no—
758C23×C13—21no—
759C23×C13—21no—
760C23×C13—42no—
761C23×C13—42no—
762C23×C13—42no—
763C23×C13—42no—
764C23×C13—81no—
765C23×C13—81no—
766C23×C13C22×D411yescharacteristic
767C23×C13C22×D411yescharacteristic
768C22×D13—22no—
769C22×D13—22no—
770C22×D13—22no—
771C22×D13—21no—
772C22×D13—41no—
773C22×D13—41no—
774C22×D13—41no—
775C22×D13—42no—
776C22×D13—42no—
777C22×D13—42no—
778C22×D13C22×D411yescharacteristic
779C22×D13C22×D411yescharacteristic
780C22×D13C22×D411yescharacteristic
781D4×C13—22no—
782D4×C13—21no—
783D4×C13—21no—
784D4×C13—21no—
785D4×C13—21no—
786D4×C13—21no—
787D4×C13—21no—
788D4×C13—21no—
789D4×C13—42no—
790D4×C13—42no—
791D4×C13—42no—
792D4×C13—42no—
793D4×C13—42no—
794D4×C13—42no—
795D4×C13—81no—
796D4×C13—81no—
797D4×C13C2×#4112yes—
798C2×C4×C13—21no—
799C2×C4×C13—21no—
800C2×C4×C13—21no—
801C2×C4×C13—21no—
802C2×C4×C13—21no—
803C2×C4×C13—21no—
804C2×C4×C13—21no—
805C2×C4×C13—21no—
806C2×C4×C13—42no—
807C2×C4×C13—81no—
808C2×C4×C13—81no—
809C2×C4×C13C22×D411yescharacteristic
810C2×C4×C13C22×D411yescharacteristic
811C2×C4×C13C22×D411yescharacteristic
812C2×C4×C13C22×D411yescharacteristic
813C2×C4×C13C2511yescharacteristic
814C22⋊D13—22no—
815C22⋊D13—24no—
816C22⋊D13—41no—
817C22⋊D13—42no—
818C22⋊D13—42no—
819C22⋊D13—42no—
820C22⋊D13—42no—
821C22⋊D13—42no—
822C22⋊D13—42no—
823C22⋊D13—42no—
824C22⋊D13—42no—
825C22⋊D13—42no—
826C22⋊D13—81no—
827C22⋊D13—81no—
828C22⋊D13—81no—
829C22⋊D13—81no—
830C2×Dic13—21no—
831C2×Dic13—22no—
832C2×Dic13—22no—
833C2×Dic13—24no—
834C2×Dic13—21no—
835C2×Dic13—21no—
836C2×Dic13—21no—
837C2×Dic13—21no—
838C2×Dic13—21no—
839C2×Dic13—21no—
840C2×Dic13—42no—
841C2×Dic13—42no—
842C2×Dic13—42no—
843C2×Dic13—42no—
844C2×Dic13—42no—
845C2×Dic13—42no—
846C2×Dic13—42no—
847C2×Dic13—42no—
848C2×Dic13—81no—
849C2×Dic13—81no—
850C2×Dic13—81no—
851C2×Dic13C22×D411yescharacteristic
852C2×Dic13C22×D411yescharacteristic
853C2×Dic13C22×D411yescharacteristic
854C2×Dic13C22×D411yescharacteristic
855C2×Dic13C22×D411yescharacteristic
856D52—21no—
857D52—21no—
858D52—41no—
859D52—42no—
860D52—81no—
861C4×D13—22no—
862C4×D13—22no—
863C4×D13—21no—
864C4×D13—21no—
865C4×D13—21no—
866C4×D13—21no—
867C4×D13—22no—
868C4×D13—22no—
869C4×D13—41no—
870C4×D13—41no—
871C4×D13—42no—
872C4×D13—42no—
873C4×D13—42no—
874C4×D13—81no—
875C4×D13—81no—
876C4×D13—81no—
877C4×D13—81no—
878C4×D13C2×#4112yes—
879C4×D13H(5,𝔽2)12yes—
880Dic26—21no—
881Dic26—21no—
882Dic26—21no—
883Dic26—21no—
884Dic26—21no—
885Dic26—42no—
886Dic26—42no—
887Dic26C2×#4112yes—
888C8×C13—21no—
889C8×C13—21no—
890C8×C13—21no—
891C8×C13—21no—
892#1055—21no—
893#1055—21no—
894#1055—21no—
895#1055—21no—
896C22×#41—131no—
897C22×#41—131no—
898C2×AGL(1,ℤ/8)—131no—
899C2×AGL(1,ℤ/8)—131no—
900C2×AGL(1,ℤ/8)—131no—
901C22×M16—131no—
902C22×M16—131no—
903#553—131no—
904#553—131no—
905#553—131no—
906#553—131no—
907#553—131no—
908#553—131no—
909#553—131no—
910#553—261no—
911#553—261no—
912#553—261no—
913#553—261no—
914#553C2×D1311yescharacteristic
915#550—131no—
916D4×Q8—131no—
917#548—131no—
918#548—131no—
919#547—131no—
920#547—261no—
921#546—131no—
922#546—131no—
923#546—261no—
924#546—261no—
925D42—261no—
926D42C2×D1311yescharacteristic, complemented
927#532—131no—
928#532—261no—
929C2×#126—261no—
930C2×#125—131no—
931#525—131no—
932#525—131no—
933#525—261no—
934#525—261no—
935C2×#123—261no—
936C2×#121—131no—
937C2×#121—131no—
938C2×#121—261no—
939C4×#41—131no—
940C2×C4×D4—131no—
941C2×C4×D4—131no—
942C2×C4×D4—261no—
943C2×C4×D4—261no—
944C2×#117—131no—
945C22×C4⋊C4—131no—
946#491—131no—
947#491—131no—
948#490—131no—
949#490C2×D1311yescharacteristic, complemented
950#488—131no—
951#488—131no—
952#488—131no—
953#488—131no—
954#485—131no—
955#485—131no—
956#485—131no—
957#485—131no—
958#484—131no—
959#484—131no—
960#483—131no—
961#483—131no—
962#482—131no—
963#482—131no—
964#482—131no—
965#482C2×D1311yescharacteristic, complemented
966#481—131no—
967#481C2×D1311yescharacteristic, complemented
968#480—131no—
969#480—131no—
970#479—131no—
971#479—131no—
972#479—131no—
973#479—131no—
974#478—131no—
975#478—131no—
976#478—131no—
977#478C2×D1311yescharacteristic, complemented
978#469—131no—
979#469—131no—
980#469—131no—
981#469C2×D1311yescharacteristic, complemented
982#468—131no—
983#468—131no—
984#468—131no—
985#468—131no—
986#466—131no—
987#466—131no—
988#466—131no—
989#466C2×D1311yescharacteristic, complemented
990#465—131no—
991#465—131no—
992#465—131no—
993#465—131no—
994#463—131no—
995#463—131no—
996#463—131no—
997#463—131no—
998#461—131no—
999#461—131no—
1000#459—131no—
1001#459C2×D1311yescharacteristic, complemented
1002#449—131no—
1003#449—131no—
1004#449—131no—
1005#449—131no—
1006#449—131no—
1007#449—131no—
1008#449—131no—
1009#449—131no—
1010#448—131no—
1011#448—131no—
1012#448—131no—
1013#448—131no—
1014#447—131no—
1015#447—131no—
1016#447C2×D1311yescharacteristic, complemented
1017#447C2×D1311yescharacteristic, complemented
1018#442—131no—
1019#442C2×D1311yescharacteristic, complemented
1020#440—131no—
1021#440—131no—
1022C4×SD16—131no—
1023C4×SD16—131no—
1024C4×D8—131no—
1025C4×D8—131no—
1026#436—131no—
1027#436—131no—
1028#435—131no—
1029#435—131no—
1030#435—131no—
1031#435C2×D1311yescharacteristic, complemented
1032C8×D4—131no—
1033C8×D4—131no—
1034#428—131no—
1035#428—131no—
1036#428—131no—
1037#423—131no—
1038#419—131no—
1039#419—131no—
1040#418—131no—
1041#418—131no—
1042#418C2×D1311yescharacteristic, complemented
1043#417—131no—
1044#417—131no—
1045#417—131no—
1046#417—131no—
1047#417—131no—
1048#417—131no—
1049#417—131no—
1050#417—131no—
1051#417—131no—
1052#417—131no—
1053#417—131no—
1054#417—131no—
1055#417—131no—
1056#416—131no—
1057#416—131no—
1058#416—131no—
1059#416—131no—
1060C2×#103—131no—
1061C2×#103—131no—
1062C2×#102—131no—
1063C2×#102C2×D1311yescharacteristic, complemented
1064#407—131no—
1065#407—131no—
1066C4×M16—131no—
1067C22×C13—21no—
1068C22×C13—21no—
1069C22×C13—21no—
1070C22×C13—22no—
1071C22×C13—21no—
1072C22×C13—21no—
1073C22×C13—41no—
1074C22×C13—41no—
1075C22×C13—41no—
1076C22×C13—41no—
1077C22×C13—41no—
1078C22×C13—41no—
1079C22×C13—41no—
1080C22×C13—41no—
1081C22×C13—41no—
1082C22×C13—41no—
1083C22×C13—41no—
1084C22×C13—84no—
1085C22×C13—84no—
1086C22×C13#57512yes—
1087C22×C13C23×D411yescharacteristic
1088C2×D13—21no—
1089C2×D13—21no—
1090C2×D13—21no—
1091C2×D13—21no—
1092C2×D13—21no—
1093C2×D13—21no—
1094C2×D13—21no—
1095C2×D13—21no—
1096C2×D13—44no—
1097C2×D13—41no—
1098C2×D13—41no—
1099C2×D13—41no—
1100C2×D13—82no—
1101C2×D13—84no—
1102C2×D13#54612yes—
1103C4×C13—21no—
1104C4×C13—21no—
1105C4×C13—21no—
1106C4×C13—21no—
1107C4×C13—41no—
1108C4×C13—41no—
1109C4×C13—41no—
1110C4×C13—41no—
1111C4×C13C22×#4111yescharacteristic
1112C4×C13C2×H(5,𝔽2)11yescharacteristic
1113Dic13—21no—
1114Dic13—22no—
1115Dic13—21no—
1116Dic13—21no—
1117Dic13—21no—
1118Dic13—41no—
1119Dic13—41no—
1120Dic13—41no—
1121Dic13—41no—
1122Dic13—41no—
1123Dic13—41no—
1124Dic13#54612yes—
1125C2×#41—131no—
1126C2×#41—131no—
1127C2×#41—131no—
1128C2×#41—131no—
1129C2×#41—131no—
1130C2×#41—131no—
1131C2×#41—131no—
1132C2×#41—261no—
1133C2×#41—261no—
1134C2×#41—261no—
1135C2×#41—261no—
1136C2×#41—264no—
1137C2×#41—264no—
1138C2×#41—522no—
1139C2×#41—522no—
1140C22×Q8—131no—
1141C22×Q8—131no—
1142C22×D4—21no—
1143C22×D4—131no—
1144C22×D4—131no—
1145C22×D4—261no—
1146C22×D4—261no—
1147C22×D4—261no—
1148C22×D4—261no—
1149C22×D4C22×D1311yescharacteristic
1150C22×D4C22×D1311yescharacteristic
1151C23×C4—131no—
1152C23×C4—131no—
1153C23×C4—261no—
1154C23×C4—261no—
1155C23×C4—261no—
1156C23×C4—261no—
1157AGL(1,ℤ/8)—264no—
1158AGL(1,ℤ/8)—522no—
1159AGL(1,ℤ/8)—522no—
1160C2×SD16—131no—
1161C2×SD16—131no—
1162C2×SD16—131no—
1163C2×SD16—131no—
1164C2×SD16—131no—
1165C2×SD16—131no—
1166C2×D8—131no—
1167C2×D8—131no—
1168C2×D8—131no—
1169C2×D8C22×D1311yescharacteristic
1170C2×D8C22×D1311yescharacteristic
1171C2×D8C22×D1311yescharacteristic
1172C2×M16—131no—
1173C2×M16—131no—
1174C2×M16—131no—
1175C2×M16—131no—
1176C2×M16—131no—
1177C2×M16—131no—
1178C2×M16—131no—
1179C2×M16—522no—
1180C2×M16—522no—
1181C2×M16C22×D1311yescharacteristic
1182C22×C8—131no—
1183C22×C8—131no—
1184C22×C8—131no—
1185C22×C8C22×D1311yescharacteristic
1186C4⋊Q8—131no—
1187C4⋊Q8—261no—
1188#127—261no—
1189#127C22×D1311yescharacteristic
1190#126—21no—
1191#126—261no—
1192#126—261no—
1193#126—261no—
1194#126—261no—
1195#126—261no—
1196#126—261no—
1197#126—261no—
1198#125—131no—
1199#125—131no—
1200#125—131no—
1201#125—261no—
1202#125—261no—
1203#125C22×D1311yescharacteristic
1204#124—131no—
1205#124—131no—
1206#124—261no—
1207#124—261no—
1208#123—21no—
1209#123—261no—
1210#123—261no—
1211#123—261no—
1212#123—261no—
1213#123—261no—
1214#123—261no—
1215#123—261no—
1216#123—261no—
1217#123—261no—
1218#123—261no—
1219#123—261no—
1220#123—261no—
1221#123—261no—
1222C22⋊Q8—131no—
1223C22⋊Q8—131no—
1224C22⋊Q8—131no—
1225C22⋊Q8—131no—
1226C22⋊Q8—261no—
1227C22⋊Q8—261no—
1228C22⋊Q8—261no—
1229C22⋊Q8—261no—
1230#121—21no—
1231#121—21no—
1232#121—131no—
1233#121—131no—
1234#121—131no—
1235#121—131no—
1236#121—131no—
1237#121—131no—
1238#121—131no—
1239#121—131no—
1240#121—261no—
1241#121—261no—
1242#121—261no—
1243#121—261no—
1244#121—261no—
1245#121—261no—
1246#121—261no—
1247#121—261no—
1248#121—261no—
1249#121—261no—
1250#121—261no—
1251#121—261no—
1252#121—261no—
1253#121—261no—
1254#121—261no—
1255#121—261no—
1256#121—261no—
1257#121—261no—
1258#121—261no—
1259#121—261no—
1260#121C22×D1311yescharacteristic
1261#121C22×D1311yescharacteristic
1262#121C22×D1311yescharacteristic
1263#121C22×D1311yescharacteristic
1264#120—21no—
1265#120—21no—
1266#120—261no—
1267#120—261no—
1268#120—261no—
1269#120—261no—
1270C4×Q8—131no—
1271C4×Q8—131no—
1272C4×D4—21no—
1273C4×D4—131no—
1274C4×D4—131no—
1275C4×D4—131no—
1276C4×D4—131no—
1277C4×D4—131no—
1278C4×D4—131no—
1279C4×D4—131no—
1280C4×D4—131no—
1281C4×D4—131no—
1282C4×D4—131no—
1283C4×D4—131no—
1284C4×D4—261no—
1285C4×D4—261no—
1286C4×D4—261no—
1287C4×D4—261no—
1288C4×D4—261no—
1289C4×D4—261no—
1290C4×D4—261no—
1291C4×D4—261no—
1292C4×D4—261no—
1293C4×D4—261no—
1294C4×D4—261no—
1295C4×D4—261no—
1296C4×D4—261no—
1297C4×D4—261no—
1298C4×D4—261no—
1299C4×D4—261no—
1300C4×D4—261no—
1301C4×D4—261no—
1302C4×D4—261no—
1303C4×D4—261no—
1304C4×D4—261no—
1305C4×D4C22×D1311yescharacteristic
1306C4×D4C22×D1311yescharacteristic
1307C4×D4C22×D1311yescharacteristic
1308#117—131no—
1309#117—131no—
1310#117—131no—
1311#117—131no—
1312#117—261no—
1313#117—261no—
1314#117—261no—
1315#117C22×D1311yescharacteristic
1316C2×C4⋊C4—131no—
1317C2×C4⋊C4—131no—
1318C2×C4⋊C4—131no—
1319C2×C4⋊C4—131no—
1320C2×C4⋊C4—131no—
1321C2×C4⋊C4—131no—
1322C2×C4⋊C4—131no—
1323C2×C4⋊C4—261no—
1324C2×C4⋊C4—261no—
1325C2×C4⋊C4—261no—
1326C2×C4⋊C4—261no—
1327C2×C4⋊C4—261no—
1328C2×C4⋊C4—261no—
1329C2×C4⋊C4C22×D1311yescharacteristic
1330C2×C22⋊C4—131no—
1331C2×C22⋊C4—131no—
1332C2×C22⋊C4—261no—
1333C2×C22⋊C4—261no—
1334C2×C22⋊C4—261no—
1335C2×C22⋊C4—261no—
1336C2×C22⋊C4—261no—
1337C2×C22⋊C4—261no—
1338C2×C42—131no—
1339C2×C42—261no—
1340C2×C42—261no—
1341#107—131no—
1342#107—131no—
1343#107—131no—
1344#107—131no—
1345#107—131no—
1346#107C22×D1311yescharacteristic
1347#106—131no—
1348#106—131no—
1349#106—131no—
1350#106—131no—
1351#106C22×D1311yescharacteristic
1352#106C22×D1311yescharacteristic
1353C4⋊C8—131no—
1354C4⋊C8—131no—
1355C4⋊C8—131no—
1356C4⋊C8C22×D1311yescharacteristic
1357#103—131no—
1358#103—131no—
1359#103—131no—
1360#103—131no—
1361#103—131no—
1362#103—131no—
1363#103—131no—
1364#103—131no—
1365#103—131no—
1366#103—131no—
1367#103—131no—
1368#103—131no—
1369#103—131no—
1370#103—131no—
1371#103—131no—
1372#103—131no—
1373#103—131no—
1374#103—131no—
1375#102—131no—
1376#102—131no—
1377#102—131no—
1378#102—131no—
1379#102—131no—
1380#102—131no—
1381#102—131no—
1382#102—131no—
1383#102—131no—
1384#102—131no—
1385#102—131no—
1386#102—131no—
1387#102C22×D1311yescharacteristic
1388#102C22×D1311yescharacteristic
1389#102C22×D1311yescharacteristic
1390#102C22×D1311yescharacteristic
1391#102C22×D1311yescharacteristic
1392#102C22×D1311yescharacteristic
1393#102C22×D1311yescharacteristic
1394#102C22×D1311yescharacteristic
1395#102C22×D1311yescharacteristic
1396#102C22×D1311yescharacteristic
1397C22⋊C8—131no—
1398C22⋊C8—131no—
1399C22⋊C8—131no—
1400C22⋊C8—131no—
1401C22⋊C8—131no—
1402C22⋊C8—131no—
1403C22⋊C8C22×D1311yescharacteristic
1404C22⋊C8C22×D1311yescharacteristic
1405#97—131no—
1406#97C22×D1311yescharacteristic
1407C4×C8—131no—
1408C4×C8—131no—
1409C2×C13—22no—
1410C2×C13—41no—
1411C2×C13—42no—
1412C2×C13—81no—
1413C2×C13—81no—
1414C2×C13—81no—
1415C2×C13C2×#54611yescharacteristic
1416C2×C13C2×#57511yescharacteristic
1417C2×C13#358511yescharacteristic
1418D13—22no—
1419D13—41no—
1420D13—41no—
1421D13—81no—
1422C24—21no—
1423C24—21no—
1424C24—131no—
1425C24—131no—
1426C24—261no—
1427#41—134no—
1428#41—262no—
1429#41—262no—
1430#41—262no—
1431#41—262no—
1432#41—262no—
1433#41—262no—
1434#41—262no—
1435#41—262no—
1436#41—262no—
1437#41—524no—
1438#41—524no—
1439#41—521no—
1440#41—521no—
1441#41—521no—
1442#41—521no—
1443#41—524no—
1444#41—524no—
1445C2×Q8—131no—
1446C2×Q8—131no—
1447C2×Q8—131no—
1448C2×Q8—262no—
1449C2×Q8—262no—
1450C2×Q8—261no—
1451C2×Q8—261no—
1452C2×Q8—521no—
1453C2×Q8—521no—
1454C2×D4—22no—
1455C2×D4—22no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—41no—
1465C2×D4—41no—
1466C2×D4—44no—
1467C2×D4—131no—
1468C2×D4—131no—
1469C2×D4—131no—
1470C2×D4—131no—
1471C2×D4—261no—
1472C2×D4—261no—
1473C2×D4—262no—
1474C2×D4—262no—
1475C2×D4—261no—
1476C2×D4—261no—
1477C2×D4—261no—
1478C2×D4—261no—
1479C2×D4—261no—
1480C2×D4—261no—
1481C2×D4—261no—
1482C2×D4—261no—
1483C2×D4—261no—
1484C2×D4—261no—
1485C2×D4—261no—
1486C2×D4—261no—
1487C2×D4—261no—
1488C2×D4—261no—
1489C2×D4—522no—
1490C2×D4—524no—
1491C2×D4—524no—
1492C2×D4—524no—
1493C2×D4—1042no—
1494C2×D4D4×D1311yescharacteristic
1495C2×D4C23×D1311yescharacteristic
1496C2×D4C23×D1311yescharacteristic
1497C2×D4C23×D1311yescharacteristic
1498C2×D4C23×D1311yescharacteristic
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—131no—
1503C22×C4—131no—
1504C22×C4—131no—
1505C22×C4—131no—
1506C22×C4—131no—
1507C22×C4—131no—
1508C22×C4—131no—
1509C22×C4—131no—
1510C22×C4—131no—
1511C22×C4—131no—
1512C22×C4—131no—
1513C22×C4—262no—
1514C22×C4—262no—
1515C22×C4—262no—
1516C22×C4—262no—
1517C22×C4—261no—
1518C22×C4—261no—
1519C22×C4—261no—
1520C22×C4—261no—
1521C22×C4—261no—
1522C22×C4—261no—
1523C22×C4—261no—
1524C22×C4—261no—
1525C22×C4—261no—
1526C22×C4—261no—
1527C22×C4—261no—
1528C22×C4—261no—
1529C22×C4—261no—
1530C22×C4—261no—
1531C22×C4—261no—
1532C22×C4—261no—
1533C22×C4—261no—
1534C22×C4—261no—
1535C22×C4—261no—
1536C22×C4—524no—
1537C22×C4—524no—
1538C22×C4—1042no—
1539C22×C4—1042no—
1540C22×C4C23×D1311yescharacteristic
1541C22×C4C23×D1311yescharacteristic
1542SD16—262no—
1543SD16—262no—
1544SD16—521no—
1545SD16—521no—
1546SD16—521no—
1547SD16—521no—
1548D8—22no—
1549D8—41no—
1550D8—41no—
1551D8—262no—
1552D8—521no—
1553D8—521no—
1554M16—41no—
1555M16—262no—
1556M16—262no—
1557M16—262no—
1558M16—262no—
1559M16—521no—
1560M16—521no—
1561M16—521no—
1562C2×C8—41no—
1563C2×C8—131no—
1564C2×C8—131no—
1565C2×C8—131no—
1566C2×C8—131no—
1567C2×C8—521no—
1568C2×C8—521no—
1569C2×C8—521no—
1570C2×C8C23×D1311yescharacteristic
1571C2×C8C23×D1311yescharacteristic
1572C2×C8C23×D1311yescharacteristic
1573C2×C8C23×D1311yescharacteristic
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—131no—
1578C4⋊C4—131no—
1579C4⋊C4—131no—
1580C4⋊C4—131no—
1581C4⋊C4—131no—
1582C4⋊C4—131no—
1583C4⋊C4—131no—
1584C4⋊C4—261no—
1585C4⋊C4—261no—
1586C4⋊C4—261no—
1587C4⋊C4—261no—
1588C4⋊C4—261no—
1589C4⋊C4—261no—
1590C4⋊C4—261no—
1591C4⋊C4—261no—
1592C4⋊C4—261no—
1593C4⋊C4—261no—
1594C4⋊C4—261no—
1595C4⋊C4—261no—
1596C4⋊C4—261no—
1597C4⋊C4—261no—
1598C4⋊C4—261no—
1599C4⋊C4—261no—
1600C4⋊C4—261no—
1601C4⋊C4—261no—
1602C4⋊C4—261no—
1603C4⋊C4—261no—
1604C4⋊C4D4×D1311yescharacteristic
1605C4⋊C4C23×D1311yescharacteristic
1606C4⋊C4C23×D1311yescharacteristic
1607C4⋊C4C23×D1311yescharacteristic
1608C4⋊C4C23×D1311yescharacteristic
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—131no—
1617C22⋊C4—131no—
1618C22⋊C4—131no—
1619C22⋊C4—131no—
1620C22⋊C4—131no—
1621C22⋊C4—131no—
1622C22⋊C4—261no—
1623C22⋊C4—261no—
1624C22⋊C4—261no—
1625C22⋊C4—261no—
1626C22⋊C4—261no—
1627C22⋊C4—261no—
1628C22⋊C4—261no—
1629C22⋊C4—261no—
1630C22⋊C4—261no—
1631C22⋊C4—261no—
1632C22⋊C4—261no—
1633C22⋊C4—261no—
1634C22⋊C4—261no—
1635C22⋊C4—261no—
1636C22⋊C4—261no—
1637C22⋊C4—261no—
1638C22⋊C4—261no—
1639C22⋊C4—261no—
1640C22⋊C4—261no—
1641C22⋊C4—261no—
1642C22⋊C4—261no—
1643C22⋊C4—261no—
1644C22⋊C4—261no—
1645C22⋊C4—261no—
1646C22⋊C4D4×D1311yescharacteristic
1647C22⋊C4D4×D1311yescharacteristic
1648C42—21no—
1649C42—131no—
1650C42—131no—
1651C42—131no—
1652C42—261no—
1653C42—261no—
1654C42—261no—
1655C42—261no—
1656C42—261no—
1657C42—261no—
1658C42C23×D1311yescharacteristic
1659C13#6116411yescharacteristic, complemented, Sylow
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—42no—
1665C23—42no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—81no—
1670C23—131no—
1671C23—131no—
1672C23—131no—
1673C23—262no—
1674C23—262no—
1675C23—262no—
1676C23—261no—
1677C23—521no—
1678C23—521no—
1679C23—521no—
1680C23—522no—
1681C23—522no—
1682C23—522no—
1683C23C2×D4×D1311yescharacteristic
1684C23C2×D4×D1311yescharacteristic
1685Q8—132no—
1686Q8—261no—
1687Q8—261no—
1688Q8—261no—
1689Q8—261no—
1690Q8—261no—
1691Q8—522no—
1692Q8—522no—
1693D4—22no—
1694D4—21no—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—42no—
1702D4—42no—
1703D4—42no—
1704D4—42no—
1705D4—42no—
1706D4—42no—
1707D4—81no—
1708D4—81no—
1709D4—264no—
1710D4—262no—
1711D4—261no—
1712D4—261no—
1713D4—521no—
1714D4—522no—
1715D4—522no—
1716D4—521no—
1717D4—522no—
1718D4—522no—
1719D4—522no—
1720D4—522no—
1721D4—522no—
1722D4—522no—
1723D4—522no—
1724D4—522no—
1725D4—1041no—
1726D4—1041no—
1727D4—1041no—
1728D4—1041no—
1729D4—1041no—
1730D4#41×D1312yes—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—42no—
1740C2×C4—81no—
1741C2×C4—81no—
1742C2×C4—131no—
1743C2×C4—132no—
1744C2×C4—132no—
1745C2×C4—131no—
1746C2×C4—131no—
1747C2×C4—131no—
1748C2×C4—131no—
1749C2×C4—262no—
1750C2×C4—262no—
1751C2×C4—262no—
1752C2×C4—262no—
1753C2×C4—262no—
1754C2×C4—262no—
1755C2×C4—264no—
1756C2×C4—261no—
1757C2×C4—261no—
1758C2×C4—261no—
1759C2×C4—261no—
1760C2×C4—261no—
1761C2×C4—261no—
1762C2×C4—261no—
1763C2×C4—261no—
1764C2×C4—261no—
1765C2×C4—261no—
1766C2×C4—261no—
1767C2×C4—521no—
1768C2×C4—521no—
1769C2×C4—522no—
1770C2×C4—522no—
1771C2×C4—522no—
1772C2×C4—522no—
1773C2×C4—522no—
1774C2×C4—522no—
1775C2×C4—522no—
1776C2×C4—522no—
1777C2×C4—522no—
1778C2×C4—522no—
1779C2×C4—522no—
1780C2×C4—1041no—
1781C2×C4—1041no—
1782C2×C4—1041no—
1783C2×C4—1041no—
1784C2×C4—1041no—
1785C2×C4—1041no—
1786C2×C4—1041no—
1787C2×C4C2×D4×D1311yescharacteristic
1788C2×C4C2×D4×D1311yescharacteristic
1789C2×C4C2×D4×D1311yescharacteristic
1790C2×C4C2×D4×D1311yescharacteristic
1791C2×C4C24×D1311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—261no—
1797C8—261no—
1798C8—261no—
1799C8—261no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—22no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—84no—
1818C22—84no—
1819C22—132no—
1820C22—261no—
1821C22—261no—
1822C22—261no—
1823C22—261no—
1824C22—261no—
1825C22—261no—
1826C22—261no—
1827C22—261no—
1828C22—524no—
1829C22—521no—
1830C22—521no—
1831C22—521no—
1832C22—1042no—
1833C22—1044no—
1834C22#1171947812yes—
1835C22C22×D4×D1311yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—132no—
1845C4—261no—
1846C4—261no—
1847C4—262no—
1848C4—261no—
1849C4—261no—
1850C4—521no—
1851C4—521no—
1852C4—521no—
1853C4—521no—
1854C4—521no—
1855C4—521no—
1856C4C2×#41×D1311yescharacteristic
1857C4D13×H(5,𝔽2)11yescharacteristic
1858C2—22no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2—262no—
1865C2—521no—
1866C2—521no—
1867C2—1041no—
1868C2D13×#54611yescharacteristic
1869C2C2×#1171947811yescharacteristic
1870C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3318C2
socleC22×C13C23×D4
hypercenter#3318D13
hypocenterC13#61164
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. D13×#553C2semidirect
2. D4×#6129C2semidirect
3. #13127095C2semidirect
4. #13127087C2semidirect
5. #13127041C2semidirect
6. #13127033C2semidirect
7. #13127009C2semidirect
8. #13127001C2semidirect
9. #13126977C2semidirect
10. #13126849C2semidirect
11. #13126841C2semidirect
12. #13126817C2semidirect
13. #13126809C2semidirect
14. #13126744C2semidirect
15. #13126736C2semidirect
16. #13126690C2semidirect
17. #13126682C2semidirect
18. #13125235C2semidirect
19. #13124764C2semidirect
20. #13124758C2semidirect
21. #13124653C2semidirect
22. #13124454C2semidirect
23. #13124452C2semidirect
24. #13124295C2semidirect
25. #13124083C2semidirect
26. #13124083C2semidirect
27. #13123647C2semidirect
28. #13123569C2semidirect
29. #13123350C2semidirect
30. C2×#11718432C2semidirect
31. C13×#3318C2semidirect
35. D42×C13C22semidirect
36. #11719511C22semidirect
37. #11719511C22semidirect
41. C2×#88165C22semidirect
42. C2×#88165C22semidirect
43. C2×M16×D13C22semidirect
44. C22×#6094C22semidirect
45. #11719423C22semidirect
49. #11719400C22semidirect
50. D13×#125C22semidirect
53. #11719323C22semidirect
54. #11719319C22semidirect
59. D13×#121C22semidirect
60. D13×#121C22semidirect
62. #11719303C22semidirect
63. #11719303C22semidirect
70. #11719263C22semidirect
71. #11719260C22semidirect
74. C4×D4×D13C22semidirect
76. D4×Dic26C22semidirect
78. #11719235C22semidirect
79. D13×#117C22semidirect
80. #11719219C22semidirect
81. C2×C4⋊C4×D13C22semidirect
82. C13×#490C22semidirect
83. C13×#482C22semidirect
84. C13×#481C22semidirect
85. C13×#478C22semidirect
86. C13×#469C22semidirect
87. C13×#466C22semidirect
88. C13×#459C22semidirect
89. C13×#447C22semidirect
90. C13×#447C22semidirect
91. C13×#442C22semidirect
92. C13×#435C22semidirect
93. C13×#418C22semidirect
94. C2×C13×#102C22semidirect
95. #11718878C22semidirect
96. #11718878C22semidirect
97. #11718876C22semidirect
98. C2×#88072C22semidirect
99. #11718820C22semidirect
100. #11718819C22semidirect
101. #11718819C22semidirect
102. #11718819C22semidirect
103. #11718819C22semidirect
104. #11718818C22semidirect
105. #11718814C22semidirect
106. #11718814C22semidirect
107. D8×Dic13C22semidirect
108. #11718795C22semidirect
109. #11718789C22semidirect
110. #11718781C22semidirect
111. #11718775C22semidirect
112. C8×C22⋊D13C22semidirect
113. C2×#88056C22semidirect
114. #11718733C22semidirect
115. #11718732C22semidirect
116. #11718730C22semidirect
117. #11718724C22semidirect
118. #11718703C22semidirect
119. #11718702C22semidirect
120. #11718701C22semidirect
121. #11718701C22semidirect
122. #11718700C22semidirect
123. #11718699C22semidirect
124. #11718696C22semidirect
125. #11718695C22semidirect
126. #11718680C22semidirect
127. #11718679C22semidirect
128. #11718675C22semidirect
129. #11718672C22semidirect
130. #11718670C22semidirect
131. #11718665C22semidirect
132. #11718657C22semidirect
133. #11718631C22semidirect
134. C2×#88050C22semidirect
135. #11718549C22semidirect
136. #11718547C22semidirect
137. #11718542C22semidirect
138. #11718538C22semidirect
139. #11718528C22semidirect
140. #11718525C22semidirect
141. #11718523C22semidirect
142. #11718523C22semidirect
143. #11718522C22semidirect
144. #11718522C22semidirect
145. #11718518C22semidirect
146. #11718513C22semidirect
147. #11718502C22semidirect
148. #11718498C22semidirect
149. #11718497C22semidirect
150. #11718490C22semidirect
151. #11718448C22semidirect
152. #11718448C22semidirect
153. #11718445C22semidirect
154. #11718443C22semidirect
155. #11718442C22semidirect
156. #11718442C22semidirect
157. #11718442C22semidirect
158. #11718442C22semidirect
159. #11718441C22semidirect
160. #11718440C22semidirect
161. #11718439C22semidirect
162. #11718436C22semidirect
163. #11718435C22semidirect
164. #11718435C22semidirect
165. #11718433C22semidirect
166. #11718433C22semidirect
167. #11718433C22semidirect
168. #11718433C22semidirect
172. #11718432C22semidirect
173. #11718432C22semidirect
174. #11718432C22semidirect
175. #11718432C22semidirect
176. #11718432C22semidirect
177. #11718432C22semidirect
178. #11718432C22semidirect
179. #11718432C22semidirect
180. #11718432C22semidirect
181. #11718432C22semidirect
182. #11718431C22semidirect
183. #11718429C22semidirect
184. #11718429C22semidirect
185. #11718429C22semidirect
186. #11718429C22semidirect
187. #11718427C22semidirect
188. #11718424C22semidirect
189. #11718419C22semidirect
190. #11718417C22semidirect
191. #11718399C22semidirect
192. #11718399C22semidirect
193. #11718390C22semidirect
194. #11718387C22semidirect
195. #11718387C22semidirect
196. #11718386C22semidirect
197. #11718384C22semidirect
198. #11718383C22semidirect
199. #11718371C22semidirect
200. #11718368C22semidirect
201. #11718367C22semidirect
202. #11718364C22semidirect
734. #3318D13semidirect
926. D42C2×D13semidirect
949. #490C2×D13semidirect
965. #482C2×D13semidirect
967. #481C2×D13semidirect
977. #478C2×D13semidirect
981. #469C2×D13semidirect
989. #466C2×D13semidirect
1001. #459C2×D13semidirect
1016. #447C2×D13semidirect
1017. #447C2×D13semidirect
1019. #442C2×D13semidirect
1031. #435C2×D13semidirect
1042. #418C2×D13semidirect
1063. C2×#102C2×D13semidirect
1659. C13#61164semidirect

Maximal subgroups

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

subgroupindex
D13×#5532
D4×#61292
#131270952
#131270872
#131270412
#131270332
#131270092
#131270012
#131269772
#131268492
#131268412
#131268172
#131268092
#131267442
#131267362
#131266902
#131266822
#131252352
#131247642
#131247582
#131246532
#131244542
#131244522
#131242952
#131240832
#131236472
#131235692
#131233502
C2×#117184322
C13×#33182
#6116413