Finite Group Databasebeta

← #16740501

Subgroups — #16740501

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#13128564C211yesmaximal, characteristic, complemented
2#13128464C211yesmaximal, characteristic, complemented
3#13127078C211yesmaximal, characteristic, complemented
4#13127073C211yesmaximal, characteristic, complemented
5#13127033C211yesmaximal, characteristic, complemented
6#13127031C211yesmaximal, characteristic, complemented
7#13126994C211yesmaximal, characteristic, complemented
8#13126985C211yesmaximal, characteristic, complemented
9#13126980C211yesmaximal, characteristic, complemented
10#13126976C211yesmaximal, characteristic, complemented
11#13126970C211yesmaximal, characteristic, complemented
12#13126802C211yesmaximal, characteristic, complemented
13#13126800C211yesmaximal, characteristic, complemented
14#13126683C211yesmaximal, characteristic, complemented
15#13126681C211yesmaximal, characteristic, complemented
16#13126652C211yesmaximal, characteristic, complemented
17#13126645C211yesmaximal, characteristic, complemented
18#13125191C211yesmaximal, characteristic, complemented
19#13124793C211yesmaximal, characteristic, complemented
20#13124748C211yesmaximal, characteristic, complemented
21#13124664C211yesmaximal, characteristic, complemented
22#13124479C211yesmaximal, characteristic, complemented
23#13124454C211yesmaximal, characteristic, complemented
24#13124334C211yesmaximal, characteristic, complemented
25#13124099C211yesmaximal, characteristic, complemented
26D13×#447C211yesmaximal, characteristic, complemented
27#13123685C211yesmaximal, characteristic, complemented
28#13123559C211yesmaximal, characteristic, complemented
29#13123357C211yesmaximal, characteristic, complemented
30D13×#418C211yesmaximal, characteristic, complemented
31C13×#3318C211yesmaximal, characteristic, complemented
32C2×#88251C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#553C2211yescharacteristic, complemented
35D42×C13C2211yescharacteristic, complemented
36#11719511C2211yescharacteristic, complemented
37D4×C22⋊D13—21no—
38D4×C22⋊D13C2211yescharacteristic, complemented
39C2×#88191—21no—
40C2×#88165C2211yescharacteristic, complemented
41C2×D8×D13C2211yescharacteristic
42C2×D8×D13C2211yescharacteristic, complemented
43C2×M16×D13C2211yescharacteristic, complemented
44C2×#88155C2211yescharacteristic, complemented
45#11719422C2211yescharacteristic, complemented
46#11719420C2211yescharacteristic
47#11719411—21no—
48#11719410—21no—
49#11719400C2211yescharacteristic, complemented
50#11719394C2211yescharacteristic, complemented
51#11719367—21no—
52#11719359—21no—
53#11719321C2211yescharacteristic, complemented
54#11719320—21no—
55#11719319C2211yescharacteristic, complemented
56#11719317—21no—
57#11719317C2211yescharacteristic, complemented
58#11719315—21no—
59#11719314C2211yescharacteristic, complemented
60#11719312C2211yescharacteristic
61#11719312C2211yescharacteristic, complemented
62#11719311C2211yescharacteristic
63#11719310—21no—
64D13×#121C2211yescharacteristic, complemented
65#11719296—21no—
66#11719295—21no—
67#11719294—21no—
68D13×#120—21no—
69#11719268C2211yescharacteristic, complemented
70#11719261—21no—
71#11719259C2211yescharacteristic, complemented
72#11719256C2211yescharacteristic, complemented
73#11719255C2211yescharacteristic, complemented
74#11719253—21no—
75#11719252C2211yescharacteristic
76#11719250C2211yescharacteristic
77#11719250C2211yescharacteristic, complemented
78#11719235C2211yescharacteristic, complemented
79D13×#117C2211yescharacteristic, complemented
80#11719212C2211yescharacteristic, complemented
81#11719209C2211yescharacteristic, 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
98#11718876C2211yescharacteristic, complemented
99#11718819C2211yescharacteristic, complemented
100#11718818C2211yescharacteristic, complemented
101#11718818C2211yescharacteristic, complemented
102#11718817C2211yescharacteristic, complemented
103#11718817C2211yescharacteristic, complemented
104#11718817C2211yescharacteristic, complemented
105#11718814C2211yescharacteristic, complemented
106#11718813C2211yescharacteristic, complemented
107#11718811C2211yescharacteristic, complemented
108#11718795C2211yescharacteristic, complemented
109#11718792C2211yescharacteristic, complemented
110#11718789C2211yescharacteristic, complemented
111#11718776C2211yescharacteristic, complemented
112#11718774C2211yescharacteristic, complemented
113C8×C22⋊D13C2211yescharacteristic, complemented
114#11718733C2211yescharacteristic, complemented
115#11718731C2211yescharacteristic, complemented
116#11718729C2211yescharacteristic, complemented
117#11718727C2211yescharacteristic, complemented
118#11718703C2211yescharacteristic, complemented
119#11718700C2211yescharacteristic, complemented
120#11718700C2211yescharacteristic, complemented
121#11718700C2211yescharacteristic, complemented
122#11718698C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718696C2211yescharacteristic, complemented
125#11718696C2211yescharacteristic, complemented
126#11718677C2211yescharacteristic, complemented
127C4×#6104C2211yescharacteristic, complemented
128C4×#6104C2211yescharacteristic, complemented
129#11718673C2211yescharacteristic, complemented
130#11718669C2211yescharacteristic, complemented
131#11718662C2211yescharacteristic, complemented
132#11718657C2211yescharacteristic, complemented
133#11718628C2211yescharacteristic, complemented
134#11718627C2211yescharacteristic, complemented
135#11718552C2211yescharacteristic, complemented
136#11718545C2211yescharacteristic, complemented
137#11718544C2211yescharacteristic, complemented
138#11718541C2211yescharacteristic, complemented
139#11718531C2211yescharacteristic, complemented
140#11718530C2211yescharacteristic, complemented
141#11718527C2211yescharacteristic, complemented
142#11718525C2211yescharacteristic, complemented
143#11718524C2211yescharacteristic, complemented
144#11718523C2211yescharacteristic, complemented
145#11718522C2211yescharacteristic, complemented
146#11718521C2211yescharacteristic, complemented
147#11718507C2211yescharacteristic, complemented
148#11718505C2211yescharacteristic, complemented
149#11718500C2211yescharacteristic, complemented
150#11718495C2211yescharacteristic, complemented
151#11718448C2211yescharacteristic, complemented
152#11718447C2211yescharacteristic, complemented
153#11718443C2211yescharacteristic, complemented
154#11718443C2211yescharacteristic, complemented
155#11718442C2211yescharacteristic, complemented
156#11718440C2211yescharacteristic, complemented
157#11718439C2211yescharacteristic, complemented
158#11718438C2211yescharacteristic, complemented
159#11718436C2211yescharacteristic, complemented
160#11718435C2211yescharacteristic, complemented
161#11718435C2211yescharacteristic, complemented
162#11718434C2211yescharacteristic, complemented
163#11718434C2211yescharacteristic, complemented
164#11718434C2211yescharacteristic, complemented
165#11718433C2211yescharacteristic, complemented
166#11718433C2211yescharacteristic, complemented
167#11718433C2211yescharacteristic, complemented
168#11718432C2211yescharacteristic, complemented
169#11718432C2211yescharacteristic, complemented
170#11718431C2211yescharacteristic
171#11718431C2211yescharacteristic
172#11718431C2211yescharacteristic, complemented
173#11718431C2211yescharacteristic, complemented
174#11718431C2211yescharacteristic, complemented
175#11718431C2211yescharacteristic, complemented
176D13×#102C2211yescharacteristic
177D13×#102C2211yescharacteristic, complemented
178D13×#102C2211yescharacteristic, complemented
179D13×#102C2211yescharacteristic, complemented
180D13×#102C2211yescharacteristic, complemented
181D13×#102C2211yescharacteristic, complemented
182D13×#102C2211yescharacteristic, complemented
183#11718429C2211yescharacteristic, complemented
184#11718427C2211yescharacteristic, complemented
185#11718426C2211yescharacteristic, complemented
186#11718425C2211yescharacteristic, complemented
187#11718421C2211yescharacteristic, complemented
188#11718420C2211yescharacteristic, complemented
189#11718417C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718395C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718389C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718388C2211yescharacteristic, complemented
197D13×C22⋊C8C2211yescharacteristic, complemented
198#11718384C2211yescharacteristic, complemented
199#11718375C2211yescharacteristic, complemented
200#11718372C2211yescharacteristic, complemented
201#11718369C2211yescharacteristic, complemented
202#11718367C2211yescharacteristic, complemented
203C24×D13—21no—
204C22×D4×C13—21no—
205C22×D4×C13C2311yescharacteristic
206C22×D4×C13C2311yescharacteristic
207C22×C22⋊D13—21no—
208C22×C22⋊D13—21no—
209C22×C22⋊D13—21no—
210C22×C22⋊D13—21no—
211#88251—24no—
212#88251—42no—
213C2×#6129—21no—
214C2×#6129C2311yescharacteristic
215C2×#6129C2311yescharacteristic
216C2×D4×D13—24no—
217C2×D4×D13—21no—
218C2×D4×D13—21no—
219C2×D4×D13—21no—
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—21no—
223C2×D4×D13—42no—
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C2×D4×D13C2311yescharacteristic
230C2×#6127—21no—
231C2×#6127—21no—
232C2×#6127C2311yescharacteristic
233C2×#6127C2311yescharacteristic
234C22×D52C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C2×C13×D8C2311yescharacteristic
237C2×C13×D8C2311yescharacteristic
238C2×C13×D8C2311yescharacteristic, complemented
239C2×C13×M16C2311yescharacteristic
240C22×C8×C13C2311yescharacteristic, complemented
241C13×#127C2311yescharacteristic
242C13×#126—21no—
243C13×#125C2311yescharacteristic, complemented
244C13×#123—21no—
245C13×#121—21no—
246C13×#121—21no—
247C13×#121C2311yescharacteristic
248C13×#121C2311yescharacteristic
249C13×#121C2311yescharacteristic
250C13×#121C2311yescharacteristic, complemented
251C13×#120—21no—
252C13×#120—21no—
253C4×D4×C13—21no—
254C4×D4×C13C2311yescharacteristic
255C4×D4×C13C2311yescharacteristic
256C4×D4×C13C2311yescharacteristic, complemented
257C13×#117C2311yescharacteristic
258C2×C13×C4⋊C4C2311yescharacteristic, complemented
259#88207—21no—
260#88207—21no—
261C2×C22⋊Dic13—21no—
262#88194—21no—
263#88194—21no—
264#88194C2311yescharacteristic
265#88193—21no—
266#88193—21no—
267#88193—21no—
268#88193—21no—
269#88193—21no—
270#88193—21no—
271#88193D411yescharacteristic
272#88192—21no—
273#88192—21no—
274#88192—21no—
275#88192—21no—
276#88192C2311yescharacteristic
277#88192C2311yescharacteristic
278#88192C2311yescharacteristic
279#88192C2311yescharacteristic, complemented
280#88191—21no—
281#88191—21no—
282#88191—21no—
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#88191D411yescharacteristic
292#88190—21no—
293#88190C2311yescharacteristic
294#88189—21no—
295#88189—21no—
296D4×Dic13—21no—
297D4×Dic13C2311yescharacteristic
298D4×Dic13C2311yescharacteristic, complemented
299C2×#6105C2311yescharacteristic, complemented
300C2×#6104C2311yescharacteristic
301C2×#6104C2311yescharacteristic
302C2×#6104C2311yescharacteristic
303C2×#6104C2311yescharacteristic
304C2×#6104C2311yescharacteristic, complemented
305#88184—21no—
306#88184C2311yescharacteristic
307#88184C2311yescharacteristic
308#88184C2311yescharacteristic, complemented
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
316C2×#6103—21no—
317C2×#6103—21no—
318C2×#6103—21no—
319#88180C2311yescharacteristic
320#88180C2311yescharacteristic, complemented
321#88178—21no—
322#88178C2311yescharacteristic
323C2×#6099C2311yescharacteristic
324C2×#6099C2311yescharacteristic, complemented
325#88165—42no—
326D8×D13—24no—
327D8×D13—42no—
328M16×D13—42no—
329C2×D104C2311yescharacteristic
330C2×D104C2311yescharacteristic
331C2×#6095C2311yescharacteristic, complemented
332#88155—42no—
333C2×#6094C2311yescharacteristic
334C2×#6094C2311yescharacteristic
335C2×#6094C2311yescharacteristic, complemented
336C2×C8×D13C2311yescharacteristic
337C2×C8×D13C2311yescharacteristic
338C2×C8×D13C2311yescharacteristic
339C2×C8×D13C2311yescharacteristic
340C2×C8×D13C2311yescharacteristic, complemented
341#88152—21no—
342#88151—21no—
343#88151C2311yescharacteristic
344#88150—21no—
345#88150—21no—
346#88150D411yescharacteristic
347#88149—21no—
348#88149C2311yescharacteristic
349#88149C2311yescharacteristic
350#88149C2311yescharacteristic, complemented
351#88148—21no—
352#88148—21no—
353#88148—21no—
354#88148D411yescharacteristic
355#88147—21no—
356#88147—21no—
357#88147C2311yescharacteristic
358#88147C2311yescharacteristic, complemented
359#88146—21no—
360#88146C2311yescharacteristic
361#88146C2311yescharacteristic
362#88146C2311yescharacteristic
363#88146C2311yescharacteristic, complemented
364C4⋊C4×D13C2311yescharacteristic
365C4⋊C4×D13C2311yescharacteristic
366C4⋊C4×D13C2311yescharacteristic
367C4⋊C4×D13C2311yescharacteristic, complemented
368#88144C2311yescharacteristic, complemented
369#88143—21no—
370#88142—21no—
371#88142C2311yescharacteristic, complemented
372#88141—21no—
373#88140—21no—
374#88139—21no—
375#88139—21no—
376#88139—21no—
377#88139—21no—
378#88139—21no—
379#88138—21no—
380#88138—21no—
381#88138—21no—
382#88138—21no—
383#88138D411yescharacteristic
384#88137—21no—
385#88137—21no—
386#88137—21no—
387#88137—21no—
388#88137—21no—
389#88137D411yescharacteristic
390#88136—21no—
391#88136—21no—
392#88136—21no—
393#88136—21no—
394#88136D411yescharacteristic
395#88135—21no—
396#88135—21no—
397#88135—21no—
398#88135—21no—
399C22⋊C4×D13—21no—
400C22⋊C4×D13—21no—
401C22⋊C4×D13—21no—
402C22⋊C4×D13—21no—
403C22⋊C4×D13—21no—
404C22⋊C4×D13—21no—
405#88133—21no—
406#88132D411yescharacteristic
407#88131—21no—
408#88131—21no—
409#88130—21no—
410#88129C2311yescharacteristic
411C4×D52—21no—
412C4×D52C2311yescharacteristic
413C4×D52C2311yescharacteristic
414C4×D52C2311yescharacteristic, complemented
415#88126—21no—
416#88126C2311yescharacteristic
417C42×D13—21no—
418#88123C2311yescharacteristic, complemented
419C13×#107C2311yescharacteristic, complemented
420C13×#106C2311yescharacteristic, complemented
421C13×#106C2311yescharacteristic, 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
435C13×#97C2311yescharacteristic, 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#88047C2311yescharacteristic, complemented
483#88047C2311yescharacteristic, complemented
484#88047C2311yescharacteristic, complemented
485C4⋊#1055C2311yescharacteristic, complemented
486C4×#1055C2311yescharacteristic, 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
501C2×D4×C13—22no—
502C2×D4×C13—22no—
503C2×D4×C13—21no—
504C2×D4×C13—21no—
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—41no—
512C2×D4×C13—41no—
513C2×D4×C13—82no—
514C2×D4×C13C2×D411yescharacteristic
515C2×D4×C13C2411yescharacteristic
516C2×D4×C13C2411yescharacteristic
517C2×D4×C13C2411yescharacteristic
518C2×D4×C13C2411yescharacteristic
519C22×C4×C13—21no—
520C22×C4×C13—21no—
521C22×C4×C13—21no—
522C22×C4×C13C2411yescharacteristic
523C22×C4×C13C2411yescharacteristic
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—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—44no—
543C2×C22⋊D13—44no—
544C2×C22⋊D13—44no—
545C2×C22⋊D13—82no—
546C2×C22⋊D13C2×D411yescharacteristic
547C2×C22⋊D13C2×D411yescharacteristic
548C2×C22⋊D13C2×D411yescharacteristic
549C2×C22⋊D13C2×D411yescharacteristic
550C22×Dic13—21no—
551C22×Dic13—21no—
552C22×Dic13—21no—
553C22×Dic13—21no—
554C22×Dic13C2×D411yescharacteristic
555#6129—22no—
556#6129—22no—
557#6129—22no—
558#6129—41no—
559#6129—44no—
560D4×D13—22no—
561D4×D13—22no—
562D4×D13—22no—
563D4×D13—22no—
564D4×D13—22no—
565D4×D13—22no—
566D4×D13—22no—
567D4×D13—22no—
568D4×D13—41no—
569D4×D13—41no—
570D4×D13—41no—
571D4×D13—44no—
572D4×D13—44no—
573D4×D13—44no—
574D4×D13—82no—
575D4×D13—82no—
576D4×D13—82no—
577D4×D13#4114yescomplemented
578#6127—22no—
579#6127—22no—
580#6127—22no—
581#6127—41no—
582#6127—82no—
583#6127—82no—
584C2×D52—22no—
585C2×D52—21no—
586C2×D52—21no—
587C2×D52—21no—
588C2×D52—21no—
589C2×D52—41no—
590C2×D52C2×D411yescharacteristic
591C2×D52C2×D411yescharacteristic
592C2×D52C2411yescharacteristic
593C2×D52C2411yescharacteristic
594C2×D52C2411yescharacteristic
595C2×C4×D13—22no—
596C2×C4×D13—22no—
597C2×C4×D13—21no—
598C2×C4×D13—21no—
599C2×C4×D13—21no—
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×D13C2×D411yescharacteristic
607C2×C4×D13C2×D411yescharacteristic
608C2×C4×D13C2411yescharacteristic
609C2×C4×D13C2411yescharacteristic
610C2×C4×D13C2411yescharacteristic
611C2×Dic26—21no—
612C2×Dic26—21no—
613C2×Dic26C2×D411yescharacteristic
614C2×Dic26C2411yescharacteristic
615C13×D8—22no—
616C13×D8—41no—
617C13×D8—41no—
618C13×M16—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⋊C4—21no—
639C13×C22⋊C4C2×D411yescharacteristic
640C13×C22⋊C4C2×D411yescharacteristic
641C42×C13—21no—
642C42×C13C2411yescharacteristic
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⋊Dic13—21no—
652C22⋊Dic13—21no—
653C22⋊Dic13—21no—
654C22⋊Dic13C2×D411yescharacteristic
655C22⋊Dic13C2×D411yescharacteristic
656#6105—41no—
657#6104—22no—
658#6104—22no—
659#6104—41no—
660#6104—41no—
661#6104—41no—
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#6103—21no—
679#6103C2×D411yescharacteristic
680#6103C2×D411yescharacteristic
681#6103C2×D411yescharacteristic
682#6103C2×D411yescharacteristic
683#6103C2×D411yescharacteristic
684#6103C2×D411yescharacteristic
685C4⋊Dic13—21no—
686C4⋊Dic13—21no—
687C4⋊Dic13—21no—
688C4⋊Dic13C2×D411yescharacteristic
689C4⋊Dic13C2411yescharacteristic
690C4⋊Dic13C2411yescharacteristic
691C4⋊Dic13C2411yescharacteristic
692C4⋊Dic13C2411yescharacteristic
693#6101—21no—
694#6101—21no—
695#6101—21no—
696#6101—21no—
697#6101—21no—
698#6101—21no—
699#6101—21no—
700#6101C2×D411yescharacteristic
701#6101C2×D411yescharacteristic
702#6101C2×D411yescharacteristic
703#6101C2×D411yescharacteristic
704C4×Dic13—21no—
705C4×Dic13—21no—
706C4×Dic13—21no—
707C4×Dic13—21no—
708C4×Dic13—21no—
709C4×Dic13—21no—
710C4×Dic13C2411yescharacteristic
711#6099—41no—
712#6099—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—
723C8×D13—22no—
724C8×D13—22no—
725C8×D13—41no—
726C8×D13—41no—
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#3318D1311yescharacteristic, complemented
740#3306—131no—
741#3306—131no—
742#3297—131no—
743#3297—131no—
744#3294—131no—
745#3294—131no—
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—21no—
772C22×D13—22no—
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
802D4×C13—21no—
803D4×C13—21no—
804D4×C13—21no—
805D4×C13—21no—
806D4×C13—21no—
807D4×C13—21no—
808D4×C13—21no—
809D4×C13—41no—
810D4×C13—42no—
811D4×C13—42no—
812D4×C13—42no—
813D4×C13—81no—
814D4×C13—81no—
815D4×C13—81no—
816D4×C13—81no—
817D4×C13—81no—
818D4×C13C2×#4112yes—
819C2×C4×C13—21no—
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—81no—
828C2×C4×C13—81no—
829C2×C4×C13—81no—
830C2×C4×C13C22×D411yescharacteristic
831C2×C4×C13C22×D411yescharacteristic
832C2×C4×C13C22×D411yescharacteristic
833C2×C4×C13C22×D411yescharacteristic
834C2×C4×C13C2511yescharacteristic
835C22⋊D13—22no—
836C22⋊D13—22no—
837C22⋊D13—22no—
838C22⋊D13—24no—
839C22⋊D13—41no—
840C22⋊D13—42no—
841C22⋊D13—42no—
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—81no—
851C22⋊D13—81no—
852C22⋊D13—81no—
853C22⋊D13—81no—
854C22⋊D13—81no—
855C22⋊D13—81no—
856C22⋊D13—81no—
857C2×Dic13—22no—
858C2×Dic13—21no—
859C2×Dic13—21no—
860C2×Dic13—21no—
861C2×Dic13—21no—
862C2×Dic13—21no—
863C2×Dic13—42no—
864C2×Dic13—42no—
865C2×Dic13—81no—
866C2×Dic13—81no—
867C2×Dic13C22×D411yescharacteristic
868C2×Dic13C22×D411yescharacteristic
869C2×Dic13C22×D411yescharacteristic
870C2×Dic13C22×D411yescharacteristic
871C2×Dic13C22×D411yescharacteristic
872D52—22no—
873D52—22no—
874D52—21no—
875D52—21no—
876D52—21no—
877D52—21no—
878D52—21no—
879D52—42no—
880D52—42no—
881D52—81no—
882D52—81no—
883D52C2×#4112yes—
884C4×D13—22no—
885C4×D13—21no—
886C4×D13—21no—
887C4×D13—21no—
888C4×D13—21no—
889C4×D13—22no—
890C4×D13—42no—
891C4×D13—42no—
892C4×D13—81no—
893C4×D13—81no—
894C4×D13—81no—
895C4×D13—81no—
896C4×D13—81no—
897C4×D13—81no—
898C4×D13—81no—
899C4×D13C2×#4112yes—
900C4×D13H(5,𝔽2)12yes—
901Dic26—22no—
902Dic26—21no—
903Dic26—21no—
904Dic26—81no—
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#553C2×D1311yescharacteristic, complemented
927#551—261no—
928#551—261no—
929#547—131no—
930#547—131no—
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#490C2×D1311yescharacteristic, complemented
966#489—131no—
967#489—131no—
968#488—131no—
969#488—131no—
970#486—131no—
971#486—131no—
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#482C2×D1311yescharacteristic, complemented
982#481—131no—
983#481—131no—
984#481C2×D1311yescharacteristic, complemented
985#480—131no—
986#480—131no—
987#480—131no—
988#478—131no—
989#478—131no—
990#478—131no—
991#478C2×D1311yescharacteristic, complemented
992#476—131no—
993#476—131no—
994#474—131no—
995#474—131no—
996#469—131no—
997#469—131no—
998#469—131no—
999#469—131no—
1000#469—131no—
1001#469C2×D1311yescharacteristic, complemented
1002#468—131no—
1003#468—131no—
1004#466—131no—
1005#466—131no—
1006#466—131no—
1007#466—131no—
1008#466—131no—
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#442C2×D1311yescharacteristic, complemented
1040C4×D8—131no—
1041C4×D8—131no—
1042C4×D8—131no—
1043C4×D8—131no—
1044#436—131no—
1045#436—131no—
1046#435—131no—
1047#435—131no—
1048#435—131no—
1049#435C2×D1311yescharacteristic, complemented
1050C8×D4—131no—
1051C8×D4—131no—
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#418C2×D1311yescharacteristic, complemented
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×#102—131no—
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—21no—
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—41no—
1103C22×C13—84no—
1104C22×C13—162no—
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—44no—
1115C2×D13—41no—
1116C2×D13—41no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—41no—
1123C2×D13—84no—
1124C2×D13—84no—
1125C2×D13—84no—
1126C2×D13—84no—
1127C2×D13—84no—
1128C2×D13—162no—
1129C2×D13—162no—
1130C2×D13#54612yes—
1131C2×D13#57612yes—
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—131no—
1156C2×#41—131no—
1157C2×#41—131no—
1158C2×#41—131no—
1159C2×#41—261no—
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—522no—
1207C2×M16C22×D1311yescharacteristic
1208C22×C8—131no—
1209C22×C8—131no—
1210C22×C8—131no—
1211C22×C8—131no—
1212C22×C8—131no—
1213C22×C8C22×D1311yescharacteristic, complemented
1214C4⋊Q8—131no—
1215C4⋊Q8—131no—
1216C4⋊Q8—261no—
1217#127—131no—
1218#127—261no—
1219#127—261no—
1220#127C22×D1311yescharacteristic
1221#126—21no—
1222#126—261no—
1223#126—261no—
1224#126—261no—
1225#125—131no—
1226#125—261no—
1227#125C22×D1311yescharacteristic, complemented
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—131no—
1238#123—131no—
1239#123—261no—
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—131no—
1252C22⋊Q8—131no—
1253C22⋊Q8—131no—
1254C22⋊Q8—131no—
1255C22⋊Q8—261no—
1256C22⋊Q8—261no—
1257C22⋊Q8—261no—
1258C22⋊Q8—261no—
1259#121—21no—
1260#121—21no—
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—131no—
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—21no—
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—131no—
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—261no—
1348#117—261no—
1349#117—261no—
1350#117—261no—
1351#117C22×D1311yescharacteristic
1352C2×C4⋊C4—131no—
1353C2×C4⋊C4—131no—
1354C2×C4⋊C4—131no—
1355C2×C4⋊C4—131no—
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#107—131no—
1372#107—131no—
1373#107C22×D1311yescharacteristic, complemented
1374#106—131no—
1375#106—131no—
1376#106—131no—
1377#106—131no—
1378#106C22×D1311yescharacteristic, complemented
1379#106C22×D1311yescharacteristic, complemented
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#97C22×D1311yescharacteristic, complemented
1434C4×C8—131no—
1435C4×C8—131no—
1436C2×C13—41no—
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—22no—
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—262no—
1465#41—262no—
1466#41—262no—
1467#41—262no—
1468#41—262no—
1469#41—262no—
1470#41—521no—
1471#41—521no—
1472#41—524no—
1473#41—1042no—
1474#41—1042no—
1475C2×Q8—131no—
1476C2×Q8—131no—
1477C2×Q8—261no—
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—131no—
1556C22×C4—131no—
1557C22×C4—131no—
1558C22×C4—131no—
1559C22×C4—131no—
1560C22×C4—131no—
1561C22×C4—262no—
1562C22×C4—262no—
1563C22×C4—261no—
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—41no—
1591M16—262no—
1592M16—262no—
1593M16—521no—
1594M16—521no—
1595M16—521no—
1596C2×C8—41no—
1597C2×C8—131no—
1598C2×C8—131no—
1599C2×C8—131no—
1600C2×C8—131no—
1601C2×C8—262no—
1602C2×C8—262no—
1603C2×C8—521no—
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—21no—
1644C22⋊C4—131no—
1645C22⋊C4—131no—
1646C22⋊C4—131no—
1647C22⋊C4—131no—
1648C22⋊C4—131no—
1649C22⋊C4—131no—
1650C22⋊C4—131no—
1651C22⋊C4—131no—
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—21no—
1683C42—131no—
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—262no—
1707C23—264no—
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—262no—
1736Q8—261no—
1737Q8—261no—
1738Q8—1041no—
1739Q8—1041no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—41no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—132no—
1757D4—262no—
1758D4—262no—
1759D4—264no—
1760D4—262no—
1761D4—262no—
1762D4—262no—
1763D4—261no—
1764D4—261no—
1765D4—261no—
1766D4—261no—
1767D4—261no—
1768D4—522no—
1769D4—522no—
1770D4—522no—
1771D4—522no—
1772D4—521no—
1773D4—522no—
1774D4—522no—
1775D4—522no—
1776D4—522no—
1777D4—522no—
1778D4—522no—
1779D4—522no—
1780D4—522no—
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—81no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—131no—
1803C2×C4—132no—
1804C2×C4—132no—
1805C2×C4—131no—
1806C2×C4—131no—
1807C2×C4—131no—
1808C2×C4—131no—
1809C2×C4—262no—
1810C2×C4—262no—
1811C2×C4—262no—
1812C2×C4—261no—
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—522no—
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—22no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—84no—
1866C22—132no—
1867C22—132no—
1868C22—162no—
1869C22—261no—
1870C22—261no—
1871C22—261no—
1872C22—261no—
1873C22—261no—
1874C22—262no—
1875C22—261no—
1876C22—261no—
1877C22—524no—
1878C22—521no—
1879C22—521no—
1880C22—521no—
1881C22—521no—
1882C22—521no—
1883C22—521no—
1884C22—521no—
1885C22—521no—
1886C22—1044no—
1887C22—1044no—
1888C22—1044no—
1889C22—1044no—
1890C22—1044no—
1891C22—2082no—
1892C22—2082no—
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—41no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—81no—
1920C2—262no—
1921C2—262no—
1922C2—521no—
1923C2—522no—
1924C2—1041no—
1925C2—1041no—
1926C2D13×#54611yescharacteristic
1927C2D13×#57611yescharacteristic
1928C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3318C2
socleC22×C13C23×D4
hypercenter#3318D13
hypocenterC13#61183
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. #13128564C2semidirect
2. #13128464C2semidirect
3. #13127078C2semidirect
4. #13127073C2semidirect
5. #13127033C2semidirect
6. #13127031C2semidirect
7. #13126994C2semidirect
8. #13126985C2semidirect
9. #13126980C2semidirect
10. #13126976C2semidirect
11. #13126970C2semidirect
12. #13126802C2semidirect
13. #13126800C2semidirect
14. #13126683C2semidirect
15. #13126681C2semidirect
16. #13126652C2semidirect
17. #13126645C2semidirect
18. #13125191C2semidirect
19. #13124793C2semidirect
20. #13124748C2semidirect
21. #13124664C2semidirect
22. #13124479C2semidirect
23. #13124454C2semidirect
24. #13124334C2semidirect
25. #13124099C2semidirect
26. D13×#447C2semidirect
27. #13123685C2semidirect
28. #13123559C2semidirect
29. #13123357C2semidirect
30. D13×#418C2semidirect
31. C13×#3318C2semidirect
34. C13×#553C22semidirect
35. D42×C13C22semidirect
36. #11719511C22semidirect
38. D4×C22⋊D13C22semidirect
40. C2×#88165C22semidirect
42. C2×D8×D13C22semidirect
43. C2×M16×D13C22semidirect
44. C2×#88155C22semidirect
45. #11719422C22semidirect
49. #11719400C22semidirect
50. #11719394C22semidirect
53. #11719321C22semidirect
55. #11719319C22semidirect
57. #11719317C22semidirect
59. #11719314C22semidirect
61. #11719312C22semidirect
64. D13×#121C22semidirect
69. #11719268C22semidirect
71. #11719259C22semidirect
72. #11719256C22semidirect
73. #11719255C22semidirect
77. #11719250C22semidirect
78. #11719235C22semidirect
79. D13×#117C22semidirect
80. #11719212C22semidirect
81. #11719209C22semidirect
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. #11718876C22semidirect
99. #11718819C22semidirect
100. #11718818C22semidirect
101. #11718818C22semidirect
102. #11718817C22semidirect
103. #11718817C22semidirect
104. #11718817C22semidirect
105. #11718814C22semidirect
106. #11718813C22semidirect
107. #11718811C22semidirect
108. #11718795C22semidirect
109. #11718792C22semidirect
110. #11718789C22semidirect
111. #11718776C22semidirect
112. #11718774C22semidirect
113. C8×C22⋊D13C22semidirect
114. #11718733C22semidirect
115. #11718731C22semidirect
116. #11718729C22semidirect
117. #11718727C22semidirect
118. #11718703C22semidirect
119. #11718700C22semidirect
120. #11718700C22semidirect
121. #11718700C22semidirect
122. #11718698C22semidirect
123. #11718697C22semidirect
124. #11718696C22semidirect
125. #11718696C22semidirect
126. #11718677C22semidirect
127. C4×#6104C22semidirect
128. C4×#6104C22semidirect
129. #11718673C22semidirect
130. #11718669C22semidirect
131. #11718662C22semidirect
132. #11718657C22semidirect
133. #11718628C22semidirect
134. #11718627C22semidirect
135. #11718552C22semidirect
136. #11718545C22semidirect
137. #11718544C22semidirect
138. #11718541C22semidirect
139. #11718531C22semidirect
140. #11718530C22semidirect
141. #11718527C22semidirect
142. #11718525C22semidirect
143. #11718524C22semidirect
144. #11718523C22semidirect
145. #11718522C22semidirect
146. #11718521C22semidirect
147. #11718507C22semidirect
148. #11718505C22semidirect
149. #11718500C22semidirect
150. #11718495C22semidirect
151. #11718448C22semidirect
152. #11718447C22semidirect
153. #11718443C22semidirect
154. #11718443C22semidirect
155. #11718442C22semidirect
156. #11718440C22semidirect
157. #11718439C22semidirect
158. #11718438C22semidirect
159. #11718436C22semidirect
160. #11718435C22semidirect
161. #11718435C22semidirect
162. #11718434C22semidirect
163. #11718434C22semidirect
164. #11718434C22semidirect
165. #11718433C22semidirect
166. #11718433C22semidirect
167. #11718433C22semidirect
168. #11718432C22semidirect
169. #11718432C22semidirect
172. #11718431C22semidirect
173. #11718431C22semidirect
174. #11718431C22semidirect
175. #11718431C22semidirect
177. D13×#102C22semidirect
178. D13×#102C22semidirect
179. D13×#102C22semidirect
180. D13×#102C22semidirect
181. D13×#102C22semidirect
182. D13×#102C22semidirect
183. #11718429C22semidirect
184. #11718427C22semidirect
185. #11718426C22semidirect
186. #11718425C22semidirect
187. #11718421C22semidirect
188. #11718420C22semidirect
189. #11718417C22semidirect
190. #11718417C22semidirect
191. #11718398C22semidirect
192. #11718395C22semidirect
193. #11718393C22semidirect
194. #11718389C22semidirect
195. #11718389C22semidirect
196. #11718388C22semidirect
197. D13×C22⋊C8C22semidirect
198. #11718384C22semidirect
199. #11718375C22semidirect
200. #11718372C22semidirect
201. #11718369C22semidirect
202. #11718367C22semidirect
238. C2×C13×D8C23semidirect
240. C22×C8×C13C23semidirect
243. C13×#125C23semidirect
250. C13×#121C23semidirect
256. C4×D4×C13C23semidirect
258. C2×C13×C4⋊C4C23semidirect
279. #88192C23semidirect
298. D4×Dic13C23semidirect
299. C2×#6105C23semidirect
304. C2×#6104C23semidirect
308. #88184C23semidirect
320. #88180C23semidirect
324. C2×#6099C23semidirect
331. C2×#6095C23semidirect
335. C2×#6094C23semidirect
340. C2×C8×D13C23semidirect
350. #88149C23semidirect
358. #88147C23semidirect
363. #88146C23semidirect
367. C4⋊C4×D13C23semidirect
368. #88144C23semidirect
371. #88142C23semidirect
414. C4×D52C23semidirect
418. #88123C23semidirect
419. C13×#107C23semidirect
420. C13×#106C23semidirect
421. C13×#106C23semidirect
422. C13×C4⋊C8C23semidirect
429. C13×#102C23semidirect
430. C13×#102C23semidirect
431. C13×#102C23semidirect
432. C13×#102C23semidirect
434. C13×C22⋊C8C23semidirect
435. C13×#97C23semidirect
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. #88047C23semidirect
483. #88047C23semidirect
484. #88047C23semidirect
485. C4⋊#1055C23semidirect
486. C4×#1055C23semidirect
577. D4×D13#41semidirect
739. #3318D13semidirect
926. #553C2×D13semidirect
944. D42C2×D13semidirect
965. #490C2×D13semidirect
981. #482C2×D13semidirect
984. #481C2×D13semidirect
991. #478C2×D13semidirect
1001. #469C2×D13semidirect
1009. #466C2×D13semidirect
1019. #459C2×D13semidirect
1034. #447C2×D13semidirect
1035. #447C2×D13semidirect
1039. #442C2×D13semidirect
1049. #435C2×D13semidirect
1066. #418C2×D13semidirect
1081. C2×#102C2×D13semidirect
1199. C2×D8C22×D13semidirect
1213. C22×C8C22×D13semidirect
1227. #125C22×D13semidirect
1292. #121C22×D13semidirect
1339. C4×D4C22×D13semidirect
1356. C2×C4⋊C4C22×D13semidirect
1373. #107C22×D13semidirect
1378. #106C22×D13semidirect
1379. #106C22×D13semidirect
1383. C4⋊C8C22×D13semidirect
1420. #102C22×D13semidirect
1421. #102C22×D13semidirect
1422. #102C22×D13semidirect
1423. #102C22×D13semidirect
1431. C22⋊C8C22×D13semidirect
1433. #97C22×D13semidirect
1691. C13#61183semidirect

Maximal subgroups

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

subgroupindex
#131285642
#131284642
#131270782
#131270732
#131270332
#131270312
#131269942
#131269852
#131269802
#131269762
#131269702
#131268022
#131268002
#131266832
#131266812
#131266522
#131266452
#131251912
#131247932
#131247482
#131246642
#131244792
#131244542
#131243342
#131240992
D13×#4472
#131236852
#131235592
#131233572
D13×#4182
C13×#33182
#6118313