Finite Group Databasebeta

← #16740524

Subgroups — #16740524

Order 3328.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128587C211yesmaximal, characteristic, complemented
2#13128464C211yesmaximal, characteristic
3#13127067C211yesmaximal, characteristic, complemented
4#13127062C211yesmaximal, characteristic, complemented
5#13127048C211yesmaximal, characteristic, complemented
6#13127046C211yesmaximal, characteristic, complemented
7#13126922C211yesmaximal, characteristic, complemented
8#13126920C211yesmaximal, characteristic, complemented
9#13126874C211yesmaximal, characteristic, complemented
10#13126865C211yesmaximal, characteristic, complemented
11#13126860C211yesmaximal, characteristic, complemented
12#13126856C211yesmaximal, characteristic, complemented
13#13126850C211yesmaximal, characteristic, complemented
14#13126668C211yesmaximal, characteristic, complemented
15#13126666C211yesmaximal, characteristic, complemented
16#13126663C211yesmaximal, characteristic, complemented
17#13126656C211yesmaximal, characteristic, complemented
18#13125191C211yesmaximal, characteristic, complemented
19#13124787C211yesmaximal, characteristic, complemented
20#13124748C211yesmaximal, characteristic, complemented
21#13124666C211yesmaximal, characteristic, complemented
22#13124470C211yesmaximal, characteristic, complemented
23#13124461C211yesmaximal, characteristic, complemented
24#13124352C211yesmaximal, characteristic, complemented
25#13124108C211yesmaximal, characteristic, complemented
26D13×#450C211yesmaximal, characteristic, complemented
27#13123692C211yesmaximal, characteristic, complemented
28#13123559C211yesmaximal, characteristic, complemented
29#13123357C211yesmaximal, characteristic, complemented
30D13×#418C211yesmaximal, characteristic, complemented
31C13×#3310C211yesmaximal, characteristic, complemented
32C2×#88251C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#552C2211yescharacteristic, complemented
35D42×C13C2211yescharacteristic
36#11719511C2211yescharacteristic
37D4×C22⋊D13—21no—
38D4×C22⋊D13C2211yescharacteristic
39C2×#88191—21no—
40C2×#88169C2211yescharacteristic, complemented
41C2×SD16×D13C2211yescharacteristic
42C2×SD16×D13C2211yescharacteristic, complemented
43C2×M16×D13C2211yescharacteristic, complemented
44C2×#88155C2211yescharacteristic, complemented
45#11719422C2211yescharacteristic
46#11719420C2211yescharacteristic
47#11719410—21no—
48#11719406—21no—
49#11719399C2211yescharacteristic, complemented
50#11719398—21no—
51#11719394C2211yescharacteristic, complemented
52#11719393—21no—
53#11719367—21no—
54#11719364—21no—
55#11719346C2211yescharacteristic, complemented
56#11719344C2211yescharacteristic, complemented
57#11719333C2211yescharacteristic, complemented
58D13×C22⋊Q8C2211yescharacteristic, complemented
59#11719317C2211yescharacteristic
60#11719315—21no—
61#11719314C2211yescharacteristic
62#11719312C2211yescharacteristic
63#11719311C2211yescharacteristic
64#11719310—21no—
65#11719296—21no—
66#11719295—21no—
67#11719294—21no—
68D13×#120—21no—
69#11719284C2211yescharacteristic, complemented
70#11719277C2211yescharacteristic, complemented
71#11719259C2211yescharacteristic
72#11719255C2211yescharacteristic
73#11719252C2211yescharacteristic
74#11719250C2211yescharacteristic
75#11719247C2211yescharacteristic, complemented
76#11719234—21no—
77#11719234C2211yescharacteristic, complemented
78#11719233—21no—
79D13×#117C2211yescharacteristic, complemented
80#11719216C2211yescharacteristic, complemented
81#11719209C2211yescharacteristic, complemented
82C13×#490C2211yescharacteristic, complemented
83C13×#482C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#468C2211yescharacteristic, complemented
87C13×#465C2211yescharacteristic, complemented
88C13×#460C2211yescharacteristic, complemented
89C13×#450C2211yescharacteristic, complemented
90C13×#450C2211yescharacteristic, complemented
91C13×#440C2211yescharacteristic, complemented
92C13×#435C2211yescharacteristic, complemented
93C13×#418C2211yescharacteristic, complemented
94C2×C13×#102C2211yescharacteristic, complemented
95#11718879C2211yescharacteristic, complemented
96#11718879C2211yescharacteristic, complemented
97#11718876C2211yescharacteristic, complemented
98#11718876C2211yescharacteristic, complemented
99#11718834C2211yescharacteristic, complemented
100#11718832C2211yescharacteristic, complemented
101#11718832C2211yescharacteristic, complemented
102#11718830C2211yescharacteristic, complemented
103#11718830C2211yescharacteristic, complemented
104#11718830C2211yescharacteristic, complemented
105#11718827C2211yescharacteristic, complemented
106#11718825C2211yescharacteristic, complemented
107#11718824C2211yescharacteristic, complemented
108#11718798C2211yescharacteristic, complemented
109#11718792C2211yescharacteristic, complemented
110#11718789C2211yescharacteristic, complemented
111#11718775C2211yescharacteristic, complemented
112#11718774C2211yescharacteristic, complemented
113C8×C22⋊D13C2211yescharacteristic, complemented
114#11718736C2211yescharacteristic, complemented
115#11718731C2211yescharacteristic, complemented
116#11718729C2211yescharacteristic, complemented
117#11718727C2211yescharacteristic, complemented
118#11718713C2211yescharacteristic, complemented
119#11718710C2211yescharacteristic, complemented
120#11718708C2211yescharacteristic, complemented
121#11718707C2211yescharacteristic, complemented
122#11718703C2211yescharacteristic, complemented
123#11718703C2211yescharacteristic, complemented
124#11718696C2211yescharacteristic, complemented
125#11718696C2211yescharacteristic, complemented
126#11718689C2211yescharacteristic, complemented
127C4×#6106C2211yescharacteristic, complemented
128C4×#6105C2211yescharacteristic, complemented
129#11718673C2211yescharacteristic, complemented
130#11718668C2211yescharacteristic, complemented
131#11718662C2211yescharacteristic, complemented
132#11718657C2211yescharacteristic, complemented
133#11718629C2211yescharacteristic, complemented
134#11718627C2211yescharacteristic, complemented
135#11718551C2211yescharacteristic, complemented
136#11718550C2211yescharacteristic, complemented
137#11718548C2211yescharacteristic, complemented
138#11718546C2211yescharacteristic, complemented
139#11718545C2211yescharacteristic, complemented
140#11718543C2211yescharacteristic, complemented
141#11718542C2211yescharacteristic, complemented
142#11718541C2211yescharacteristic, complemented
143#11718532C2211yescharacteristic, complemented
144#11718525C2211yescharacteristic, complemented
145#11718523C2211yescharacteristic, complemented
146#11718521C2211yescharacteristic, complemented
147#11718506C2211yescharacteristic, complemented
148#11718503C2211yescharacteristic, complemented
149#11718500C2211yescharacteristic, complemented
150#11718495C2211yescharacteristic, complemented
151#11718474C2211yescharacteristic, complemented
152#11718473C2211yescharacteristic, complemented
153#11718463C2211yescharacteristic, complemented
154#11718449C2211yescharacteristic, complemented
155#11718445C2211yescharacteristic, complemented
156#11718444C2211yescharacteristic, complemented
157#11718441C2211yescharacteristic, complemented
158#11718439C2211yescharacteristic, complemented
159#11718438C2211yescharacteristic, complemented
160#11718438C2211yescharacteristic, complemented
161#11718437C2211yescharacteristic, complemented
162#11718437C2211yescharacteristic, complemented
163#11718437C2211yescharacteristic, complemented
164#11718435C2211yescharacteristic, 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
175D13×#102C2211yescharacteristic
176D13×#102C2211yescharacteristic, complemented
177D13×#102C2211yescharacteristic, complemented
178D13×#102C2211yescharacteristic, complemented
179D13×#102C2211yescharacteristic, complemented
180D13×#102C2211yescharacteristic, complemented
181D13×#102C2211yescharacteristic, complemented
182#11718429C2211yescharacteristic, complemented
183#11718428C2211yescharacteristic, complemented
184#11718426C2211yescharacteristic, complemented
185#11718425C2211yescharacteristic, complemented
186#11718424C2211yescharacteristic, complemented
187#11718423C2211yescharacteristic, complemented
188#11718422C2211yescharacteristic, complemented
189#11718421C2211yescharacteristic, complemented
190#11718419C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718394C2211yescharacteristic, complemented
193#11718392C2211yescharacteristic, complemented
194#11718389C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718388C2211yescharacteristic, complemented
197D13×C22⋊C8C2211yescharacteristic, complemented
198#11718384C2211yescharacteristic, complemented
199#11718375C2211yescharacteristic, complemented
200#11718371C2211yescharacteristic, 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—
211C2×Q8×D13C2311yescharacteristic
212#88251—24no—
213#88251—42no—
214C2×#6129—21no—
215C2×#6129C2311yescharacteristic
216C2×#6129C2311yescharacteristic
217C2×D4×D13—24no—
218C2×D4×D13—21no—
219C2×D4×D13—21no—
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—21no—
223C2×D4×D13—42no—
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C2×#6127C2311yescharacteristic
230C2×#6127C2311yescharacteristic
231C22×D52C2311yescharacteristic
232C22×C4×D13C2311yescharacteristic
233C2×C13×SD16C2311yescharacteristic
234C2×C13×SD16C2311yescharacteristic
235C2×C13×SD16C2311yescharacteristic, complemented
236C2×C13×M16C2311yescharacteristic
237C22×C8×C13C2311yescharacteristic, complemented
238C13×#127C2311yescharacteristic
239C13×#126—21no—
240C13×#125—21no—
241C13×#125C2311yescharacteristic, complemented
242C13×#123—21no—
243C13×C22⋊Q8C2311yescharacteristic
244C13×C22⋊Q8C2311yescharacteristic, complemented
245C13×#121—21no—
246C13×#121C2311yescharacteristic
247C13×#121C2311yescharacteristic
248C13×#120—21no—
249C13×#120—21no—
250C4×Q8×C13C2311yescharacteristic, complemented
251C4×D4×C13C2311yescharacteristic
252C4×D4×C13C2311yescharacteristic
253C13×#117—21no—
254C13×#117C2311yescharacteristic
255C2×C13×C4⋊C4C2311yescharacteristic, complemented
256#88207—21no—
257#88207—21no—
258C2×C22⋊Dic13—21no—
259#88200C2311yescharacteristic
260#88200C2311yescharacteristic, complemented
261Q8×Dic13C2311yescharacteristic, complemented
262C2×#6107C2311yescharacteristic, complemented
263C2×#6106C2311yescharacteristic
264C2×#6106C2311yescharacteristic
265#88194—21no—
266#88194C2311yescharacteristic
267#88193—21no—
268#88193—21no—
269#88193—21no—
270#88193—21no—
271#88193D411yescharacteristic
272#88192—21no—
273#88192—21no—
274#88192C2311yescharacteristic
275#88192C2311yescharacteristic
276#88191—21no—
277#88191—21no—
278#88191—21no—
279#88191—21no—
280#88191—21no—
281#88191—21no—
282#88191—21no—
283#88191—21no—
284#88191—21no—
285#88191—21no—
286#88191D411yescharacteristic
287#88190—21no—
288#88190C2311yescharacteristic
289#88189—21no—
290D4×Dic13—21no—
291D4×Dic13C2311yescharacteristic
292C2×#6105C2311yescharacteristic
293C2×#6105C2311yescharacteristic
294C2×#6105C2311yescharacteristic, complemented
295#88184—21no—
296#88184C2311yescharacteristic
297C4×C22⋊D13—21no—
298C4×C22⋊D13—21no—
299C4×C22⋊D13—21no—
300C4×C22⋊D13—21no—
301C4×C22⋊D13C2311yescharacteristic
302C4×C22⋊D13C2311yescharacteristic
303C2×#6103—21no—
304C2×#6103—21no—
305#88180C2311yescharacteristic
306#88180C2311yescharacteristic, complemented
307#88178—21no—
308#88178C2311yescharacteristic
309#88178C2311yescharacteristic
310#88178C2311yescharacteristic, complemented
311C2×#6099C2311yescharacteristic
312C2×#6099C2311yescharacteristic, complemented
313#88169—42no—
314SD16×D13—24no—
315SD16×D13—42no—
316M16×D13—42no—
317C2×Dic52C2311yescharacteristic, complemented
318C2×#6095C2311yescharacteristic
319C2×#6095C2311yescharacteristic
320#88155—42no—
321C2×#6094C2311yescharacteristic
322C2×#6094C2311yescharacteristic
323C2×#6094C2311yescharacteristic, complemented
324C2×C8×D13C2311yescharacteristic
325C2×C8×D13C2311yescharacteristic
326C2×C8×D13C2311yescharacteristic
327C2×C8×D13C2311yescharacteristic
328C2×C8×D13C2311yescharacteristic, complemented
329#88152—21no—
330#88152—21no—
331#88151—21no—
332#88151C2311yescharacteristic
333#88151C2311yescharacteristic
334#88151C2311yescharacteristic, complemented
335#88150—21no—
336#88150—21no—
337#88150—21no—
338#88150—21no—
339#88150—21no—
340#88150D411yescharacteristic
341#88149C2311yescharacteristic
342#88148—21no—
343#88148—21no—
344#88148—21no—
345#88148D411yescharacteristic
346#88147—21no—
347#88147C2311yescharacteristic
348#88146—21no—
349#88146—21no—
350#88146—21no—
351#88146C2311yescharacteristic
352#88146C2311yescharacteristic
353#88146C2311yescharacteristic
354#88146C2311yescharacteristic, complemented
355C4⋊C4×D13—21no—
356C4⋊C4×D13C2311yescharacteristic
357C4⋊C4×D13C2311yescharacteristic
358C4⋊C4×D13C2311yescharacteristic
359C4⋊C4×D13C2311yescharacteristic, complemented
360#88144—21no—
361#88144C2311yescharacteristic, complemented
362#88143—21no—
363#88143—21no—
364#88143—21no—
365#88142—21no—
366#88142—21no—
367#88142C2311yescharacteristic, complemented
368#88141—21no—
369#88141—21no—
370#88141—21no—
371#88141—21no—
372#88141C2311yescharacteristic, complemented
373#88140—21no—
374#88139—21no—
375#88139—21no—
376#88139—21no—
377#88138—21no—
378#88138—21no—
379#88138D411yescharacteristic
380#88137—21no—
381#88137—21no—
382#88137—21no—
383#88137—21no—
384#88137—21no—
385#88137D411yescharacteristic
386#88136—21no—
387#88136—21no—
388#88136—21no—
389#88136D411yescharacteristic
390#88135—21no—
391#88135—21no—
392C22⋊C4×D13—21no—
393C22⋊C4×D13—21no—
394C22⋊C4×D13—21no—
395C22⋊C4×D13—21no—
396C22⋊C4×D13—21no—
397#88133—21no—
398#88133—21no—
399#88133—21no—
400#88133—21no—
401#88133—21no—
402#88132—21no—
403#88132D411yescharacteristic
404#88131—21no—
405#88129C2311yescharacteristic
406C4×D52—21no—
407C4×D52C2311yescharacteristic
408C4×D52C2311yescharacteristic
409#88126—21no—
410#88126—21no—
411#88126—21no—
412#88126C2311yescharacteristic
413C42×D13—21no—
414#88124—21no—
415#88124—21no—
416#88123C2311yescharacteristic, complemented
417C4×Dic26—21no—
418C4×Dic26C2311yescharacteristic, complemented
419C13×#107C2311yescharacteristic, complemented
420C13×#107C2311yescharacteristic, complemented
421C13×#106C2311yescharacteristic, complemented
422C13×C4⋊C8C2311yescharacteristic, complemented
423C13×#103C2311yescharacteristic, complemented
424C13×#102C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×#102C2311yescharacteristic
427C13×#102C2311yescharacteristic
428C13×#102C2311yescharacteristic
429C13×#102C2311yescharacteristic
430C13×#102C2311yescharacteristic, complemented
431C13×#102C2311yescharacteristic, complemented
432C13×#102C2311yescharacteristic, complemented
433C13×C22⋊C8C2311yescharacteristic
434C13×C22⋊C8C2311yescharacteristic, complemented
435C13×#97C2311yescharacteristic, complemented
436#88075C2311yescharacteristic, complemented
437#88072C2311yescharacteristic
438#88072C2311yescharacteristic
439#88072C2311yescharacteristic
440#88072C2311yescharacteristic
441#88072C2311yescharacteristic
442#88072C2311yescharacteristic
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#88060C2311yescharacteristic
455#88060C2311yescharacteristic
456#88060C2311yescharacteristic, complemented
457#88060C2311yescharacteristic, complemented
458#88058C2311yescharacteristic, complemented
459#88057C2311yescharacteristic, complemented
460#88057C2311yescharacteristic, complemented
461#88056C2311yescharacteristic, 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#88050C2311yescharacteristic, complemented
473#88049C2311yescharacteristic
474#88049C2311yescharacteristic
475#88049C2311yescharacteristic
476#88049C2311yescharacteristic
477#88049C2311yescharacteristic
478#88049C2311yescharacteristic
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#61184—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—44no—
497C23×D13—82no—
498C23×D13—82no—
499C23×D13C2×D411yescharacteristic
500C2×Q8×C13C2411yescharacteristic
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—41no—
510C2×D4×C13—41no—
511C2×D4×C13—82no—
512C2×D4×C13C2×D411yescharacteristic
513C2×D4×C13C2411yescharacteristic
514C2×D4×C13C2411yescharacteristic
515C2×D4×C13C2411yescharacteristic
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13C2411yescharacteristic
519C22×C4×C13C2411yescharacteristic
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—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C2×C22⋊D13—44no—
534C2×C22⋊D13—44no—
535C2×C22⋊D13—44no—
536C2×C22⋊D13—82no—
537C2×C22⋊D13C2×D411yescharacteristic
538C2×C22⋊D13C2×D411yescharacteristic
539C2×C22⋊D13C2×D411yescharacteristic
540C2×C22⋊D13C2×D411yescharacteristic
541C22×Dic13—21no—
542C22×Dic13—21no—
543C22×Dic13—21no—
544C22×Dic13C2×D411yescharacteristic
545Q8×D13—22no—
546Q8×D13—22no—
547#6129—22no—
548#6129—22no—
549#6129—22no—
550#6129—41no—
551#6129—44no—
552D4×D13—22no—
553D4×D13—22no—
554D4×D13—22no—
555D4×D13—22no—
556D4×D13—22no—
557D4×D13—22no—
558D4×D13—41no—
559D4×D13—41no—
560D4×D13—41no—
561D4×D13—44no—
562D4×D13—44no—
563D4×D13—44no—
564D4×D13—82no—
565D4×D13—82no—
566D4×D13#4114yes—
567#6127—22no—
568#6127—22no—
569#6127—22no—
570#6127—41no—
571C2×D52—22no—
572C2×D52—21no—
573C2×D52—21no—
574C2×D52—41no—
575C2×D52C2×D411yescharacteristic
576C2×D52C2×D411yescharacteristic
577C2×D52C2411yescharacteristic
578C2×D52C2411yescharacteristic
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—21no—
589C2×C4×D13C2×D411yescharacteristic
590C2×C4×D13C2×D411yescharacteristic
591C2×C4×D13C2411yescharacteristic
592C2×C4×D13C2411yescharacteristic
593C2×C4×D13C2411yescharacteristic
594C2×Dic26—21no—
595C2×Dic26—21no—
596C2×Dic26—21no—
597C2×Dic26C2×D411yescharacteristic
598C2×Dic26C2411yescharacteristic
599C2×Dic26C2411yescharacteristic
600C13×SD16—22no—
601C13×SD16—41no—
602C13×SD16—41no—
603C13×M16—41no—
604C2×C8×C13—41no—
605C2×C8×C13C2411yescharacteristic
606C2×C8×C13C2411yescharacteristic
607C2×C8×C13C2411yescharacteristic
608C2×C8×C13C2411yescharacteristic
609C13×C4⋊C4—21no—
610C13×C4⋊C4—21no—
611C13×C4⋊C4—21no—
612C13×C4⋊C4—21no—
613C13×C4⋊C4—21no—
614C13×C4⋊C4—21no—
615C13×C4⋊C4C2×D411yescharacteristic
616C13×C4⋊C4C2411yescharacteristic
617C13×C4⋊C4C2411yescharacteristic
618C13×C4⋊C4C2411yescharacteristic
619C13×C4⋊C4C2411yescharacteristic
620C13×C22⋊C4—21no—
621C13×C22⋊C4—21no—
622C13×C22⋊C4—21no—
623C13×C22⋊C4—21no—
624C13×C22⋊C4—21no—
625C13×C22⋊C4—21no—
626C13×C22⋊C4C2×D411yescharacteristic
627C13×C22⋊C4C2×D411yescharacteristic
628C42×C13—21no—
629C42×C13—21no—
630C42×C13C2411yescharacteristic
631C22⋊Dic13—21no—
632C22⋊Dic13—21no—
633C22⋊Dic13—21no—
634C22⋊Dic13—21no—
635C22⋊Dic13—21no—
636C22⋊Dic13—21no—
637C22⋊Dic13—21no—
638C22⋊Dic13—21no—
639C22⋊Dic13—21no—
640C22⋊Dic13—21no—
641C22⋊Dic13C2×D411yescharacteristic
642C22⋊Dic13C2×D411yescharacteristic
643#6107—41no—
644#6106—22no—
645#6106—41no—
646#6105—22no—
647#6105—41no—
648#6105—41no—
649#6103—21no—
650#6103—21no—
651#6103—21no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103—21no—
656#6103—21no—
657#6103—21no—
658#6103—21no—
659#6103—21no—
660#6103—21no—
661#6103—21no—
662#6103—21no—
663#6103—21no—
664#6103C2×D411yescharacteristic
665#6103C2×D411yescharacteristic
666#6103C2×D411yescharacteristic
667#6103C2×D411yescharacteristic
668#6103C2×D411yescharacteristic
669#6103C2×D411yescharacteristic
670C4⋊Dic13—21no—
671C4⋊Dic13—21no—
672C4⋊Dic13—21no—
673C4⋊Dic13—21no—
674C4⋊Dic13—21no—
675C4⋊Dic13—21no—
676C4⋊Dic13C2×D411yescharacteristic
677C4⋊Dic13C2411yescharacteristic
678C4⋊Dic13C2411yescharacteristic
679C4⋊Dic13C2411yescharacteristic
680C4⋊Dic13C2411yescharacteristic
681#6101—21no—
682#6101—21no—
683#6101—21no—
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#6101C2×D411yescharacteristic
695#6101C2×D411yescharacteristic
696#6101C2×D411yescharacteristic
697#6101C2×D411yescharacteristic
698C4×Dic13—21no—
699C4×Dic13—21no—
700C4×Dic13—21no—
701C4×Dic13—21no—
702C4×Dic13—21no—
703C4×Dic13—21no—
704C4×Dic13—21no—
705C4×Dic13—21no—
706C4×Dic13—21no—
707C4×Dic13C2411yescharacteristic
708#6099—41no—
709#6099—41no—
710C2×#1055C2411yescharacteristic
711C2×#1055C2411yescharacteristic
712C2×#1055C2411yescharacteristic
713C2×#1055C2411yescharacteristic
714Dic52—41no—
715#6095—22no—
716#6095—41no—
717#6094—22no—
718#6094—22no—
719#6094—41no—
720C8×D13—22no—
721C8×D13—22no—
722C8×D13—41no—
723C8×D13—41no—
724C8×D13—41no—
725#3495—131no—
726#3484—131no—
727#3324—131no—
728#3324—131no—
729#3323—131no—
730#3323—131no—
731#3314—131no—
732#3314—131no—
733#3311—131no—
734#3311—131no—
735#3310—131no—
736#3310—131no—
737#3310—131no—
738#3310D1311yescharacteristic, complemented
739#3296—131no—
740#3296—131no—
741#3295—131no—
742#3295—131no—
743#3136—131no—
744#3096—131no—
745#3091—131no—
746#3081—131no—
747#3057—131no—
748#3056—131no—
749#3043—131no—
750#3009—131no—
751C2×#450—131no—
752#2949—131no—
753#2933—131no—
754#2897—131no—
755C2×#418—131no—
756C23×C13—21no—
757C23×C13—21no—
758C23×C13—21no—
759C23×C13—42no—
760C23×C13—42no—
761C23×C13—42no—
762C23×C13—81no—
763C23×C13—81no—
764C23×C13—81no—
765C23×C13C22×D411yescharacteristic
766C23×C13C22×D411yescharacteristic
767C22×D13—21no—
768C22×D13—22no—
769C22×D13—22no—
770C22×D13—24no—
771C22×D13—21no—
772C22×D13—41no—
773C22×D13—42no—
774C22×D13—42no—
775C22×D13—42no—
776C22×D13—42no—
777C22×D13—42no—
778C22×D13—42no—
779C22×D13—42no—
780C22×D13—42no—
781C22×D13—81no—
782C22×D13—81no—
783C22×D13—81no—
784C22×D13—81no—
785C22×D13—81no—
786C22×D13—81no—
787C22×D13—81no—
788C22×D13—81no—
789C22×D13—81no—
790C22×D13—816no—
791C22×D13C22×D411yescharacteristic
792C22×D13C22×D411yescharacteristic
793C22×D13C22×D411yescharacteristic
794Q8×C13—21no—
795Q8×C13—21no—
796D4×C13—21no—
797D4×C13—21no—
798D4×C13—21no—
799D4×C13—21no—
800D4×C13—21no—
801D4×C13—41no—
802D4×C13—42no—
803D4×C13—42no—
804D4×C13—42no—
805D4×C13—81no—
806D4×C13—81no—
807D4×C13—81no—
808D4×C13C2×#4112yes—
809C2×C4×C13—21no—
810C2×C4×C13—21no—
811C2×C4×C13—21no—
812C2×C4×C13—21no—
813C2×C4×C13—21no—
814C2×C4×C13—21no—
815C2×C4×C13—21no—
816C2×C4×C13—21no—
817C2×C4×C13—21no—
818C2×C4×C13—81no—
819C2×C4×C13—81no—
820C2×C4×C13C22×D411yescharacteristic
821C2×C4×C13C22×D411yescharacteristic
822C2×C4×C13C22×D411yescharacteristic
823C2×C4×C13C22×D411yescharacteristic
824C2×C4×C13C2511yescharacteristic
825C22⋊D13—22no—
826C22⋊D13—22no—
827C22⋊D13—22no—
828C22⋊D13—24no—
829C22⋊D13—41no—
830C22⋊D13—42no—
831C22⋊D13—42no—
832C22⋊D13—42no—
833C22⋊D13—42no—
834C22⋊D13—42no—
835C22⋊D13—42no—
836C22⋊D13—42no—
837C22⋊D13—42no—
838C22⋊D13—81no—
839C22⋊D13—81no—
840C22⋊D13—81no—
841C22⋊D13—81no—
842C2×Dic13—22no—
843C2×Dic13—21no—
844C2×Dic13—21no—
845C2×Dic13—21no—
846C2×Dic13—21no—
847C2×Dic13—21no—
848C2×Dic13—21no—
849C2×Dic13—42no—
850C2×Dic13—42no—
851C2×Dic13—81no—
852C2×Dic13C22×D411yescharacteristic
853C2×Dic13C22×D411yescharacteristic
854C2×Dic13C22×D411yescharacteristic
855C2×Dic13C22×D411yescharacteristic
856C2×Dic13C22×D411yescharacteristic
857D52—22no—
858D52—22no—
859D52—21no—
860D52—21no—
861D52—21no—
862D52—42no—
863D52—81no—
864D52C2×#4112yes—
865C4×D13—22no—
866C4×D13—21no—
867C4×D13—21no—
868C4×D13—21no—
869C4×D13—21no—
870C4×D13—22no—
871C4×D13—42no—
872C4×D13—42no—
873C4×D13—42no—
874C4×D13—81no—
875C4×D13—81no—
876C4×D13—81no—
877C4×D13—81no—
878C4×D13—81no—
879C4×D13C2×#4112yes—
880C4×D13H(5,𝔽2)12yes—
881Dic26—22no—
882Dic26—21no—
883Dic26—21no—
884Dic26—21no—
885Dic26—21no—
886Dic26—42no—
887Dic26—81no—
888Dic26—81no—
889C8×C13—21no—
890C8×C13—21no—
891C8×C13—21no—
892C8×C13—21no—
893#1055—21no—
894#1055—21no—
895#1055—21no—
896#1055—21no—
897C2×H(5,𝔽2)—131no—
898C23×D4—131no—
899C2×#137—131no—
900C22×SD16—131no—
901C22×SD16—131no—
902C2×#131—131no—
903C22×M16—131no—
904#556—131no—
905#556—131no—
906#554—131no—
907#554—131no—
908#552—131no—
909#552—131no—
910#552—131no—
911#552—261no—
912#552—261no—
913#552C2×D1311yescharacteristic, complemented
914#551—261no—
915#551—261no—
916#546—131no—
917#546—131no—
918#546—131no—
919#546—131no—
920#546—261no—
921#546—261no—
922D42—131no—
923D42—131no—
924D42—131no—
925D42—261no—
926D42—261no—
927D42C2×D1311yescharacteristic
928#544—131no—
929#542—261no—
930#541—261no—
931#536—131no—
932#535—131no—
933#535—131no—
934#534—261no—
935#534—261no—
936#533—261no—
937#529—261no—
938#525—131no—
939#525—131no—
940C2×C22⋊Q8—131no—
941C2×#120—261no—
942C2×#120—261no—
943#520—131no—
944#519—131no—
945#518—131no—
946C2×#117—131no—
947#490—131no—
948#490C2×D1311yescharacteristic, complemented
949#489—131no—
950#489—131no—
951#488—131no—
952#488—131no—
953#486—131no—
954#486—131no—
955#485—131no—
956#485—131no—
957#484—131no—
958#483—131no—
959#482—131no—
960#482—131no—
961#482—131no—
962#482—131no—
963#482—131no—
964#482C2×D1311yescharacteristic, complemented
965#481—131no—
966#481—131no—
967#481—131no—
968#480—131no—
969#480—131no—
970#480C2×D1311yescharacteristic, complemented
971#478—131no—
972#478—131no—
973#478—131no—
974#478C2×D1311yescharacteristic, complemented
975#476—131no—
976#476—131no—
977#474—131no—
978#474—131no—
979#470—131no—
980#470—131no—
981#468—131no—
982#468—131no—
983#468—131no—
984#468—131no—
985#468—131no—
986#468C2×D1311yescharacteristic, complemented
987#467—131no—
988#467—131no—
989#465—131no—
990#465—131no—
991#465—131no—
992#465—131no—
993#465—131no—
994#465C2×D1311yescharacteristic, complemented
995#464—131no—
996#464—131no—
997#464—131no—
998#464—131no—
999#460—131no—
1000#460—131no—
1001#460—131no—
1002#460C2×D1311yescharacteristic, complemented
1003#452—131no—
1004#452—131no—
1005#452—131no—
1006#452—131no—
1007#450—131no—
1008#450—131no—
1009#450—131no—
1010#450—131no—
1011#450—131no—
1012#450—131no—
1013#450—131no—
1014#450—131no—
1015#450—131no—
1016#450—131no—
1017#450C2×D1311yescharacteristic, complemented
1018#450C2×D1311yescharacteristic, complemented
1019#440—131no—
1020#440—131no—
1021#440—131no—
1022#440C2×D1311yescharacteristic, complemented
1023C4×SD16—131no—
1024C4×SD16—131no—
1025C4×SD16—131no—
1026C4×SD16—131no—
1027#436—131no—
1028#436—131no—
1029#435—131no—
1030#435—131no—
1031#435—131no—
1032#435C2×D1311yescharacteristic, complemented
1033C8×D4—131no—
1034C8×D4—131no—
1035#428—131no—
1036#427—131no—
1037#427—131no—
1038#424—131no—
1039#419—131no—
1040#418—131no—
1041#418—131no—
1042#418—131no—
1043#418—131no—
1044#418—131no—
1045#418—131no—
1046#418—131no—
1047#418—131no—
1048#418—131no—
1049#418C2×D1311yescharacteristic, complemented
1050#417—131no—
1051#417—131no—
1052#417—131no—
1053#416—131no—
1054#416—131no—
1055#416—131no—
1056#416—131no—
1057C2×#102—131no—
1058C2×#102—131no—
1059C2×#102—131no—
1060C2×#102—131no—
1061C2×#102—131no—
1062C2×#102—131no—
1063C2×#102—131no—
1064C2×#102C2×D1311yescharacteristic, complemented
1065#408—131no—
1066C2×C22⋊C8—131no—
1067#405—131no—
1068C22×C13—21no—
1069C22×C13—21no—
1070C22×C13—21no—
1071C22×C13—22no—
1072C22×C13—21no—
1073C22×C13—21no—
1074C22×C13—21no—
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—84no—
1084C22×C13—162no—
1085C22×C13C23×D411yescharacteristic
1086C2×D13—21no—
1087C2×D13—21no—
1088C2×D13—21no—
1089C2×D13—21no—
1090C2×D13—21no—
1091C2×D13—21no—
1092C2×D13—22no—
1093C2×D13—21no—
1094C2×D13—44no—
1095C2×D13—41no—
1096C2×D13—41no—
1097C2×D13—41no—
1098C2×D13—41no—
1099C2×D13—41no—
1100C2×D13—84no—
1101C2×D13—84no—
1102C2×D13—84no—
1103C2×D13—84no—
1104C2×D13—84no—
1105C2×D13—162no—
1106C2×D13#54612yes—
1107C2×D13#57712yes—
1108C4×C13—21no—
1109C4×C13—21no—
1110C4×C13—21no—
1111C4×C13—21no—
1112C4×C13—41no—
1113C4×C13—41no—
1114C4×C13—41no—
1115C4×C13—41no—
1116C4×C13—41no—
1117C4×C13C22×#4111yescharacteristic
1118C4×C13C2×H(5,𝔽2)11yescharacteristic
1119Dic13—21no—
1120Dic13—21no—
1121Dic13—21no—
1122Dic13—21no—
1123Dic13—41no—
1124Dic13—41no—
1125Dic13—41no—
1126Dic13—41no—
1127Dic13—41no—
1128Dic13—41no—
1129Dic13#54612yes—
1130C25—261no—
1131H(5,𝔽2)—264no—
1132H(5,𝔽2)—522no—
1133C2×#41—131no—
1134C2×#41—131no—
1135C2×#41—131no—
1136C2×#41—131no—
1137C2×#41—261no—
1138C22×Q8—131no—
1139C22×D4—21no—
1140C22×D4—131no—
1141C22×D4—131no—
1142C22×D4—131no—
1143C22×D4—131no—
1144C22×D4—131no—
1145C22×D4—131no—
1146C22×D4—261no—
1147C22×D4—261no—
1148C22×D4—261no—
1149C22×D4—264no—
1150C22×D4—261no—
1151C22×D4—261no—
1152C22×D4—261no—
1153C22×D4—261no—
1154C22×D4—261no—
1155C22×D4—261no—
1156C22×D4—522no—
1157C22×D4C22×D1311yescharacteristic
1158C22×D4C22×D1311yescharacteristic
1159C23×C4—131no—
1160#137—522no—
1161C2×Q16—131no—
1162C2×Q16—131no—
1163C2×SD16—131no—
1164C2×SD16—131no—
1165C2×SD16—131no—
1166C2×SD16—131no—
1167C2×SD16—131no—
1168C2×SD16—131no—
1169C2×SD16—131no—
1170C2×SD16—264no—
1171C2×SD16—522no—
1172C2×SD16C22×D1311yescharacteristic
1173C2×SD16C22×D1311yescharacteristic
1174C2×SD16C22×D1311yescharacteristic, complemented
1175#131—522no—
1176C2×M16—131no—
1177C2×M16—131no—
1178C2×M16—131no—
1179C2×M16—131no—
1180C2×M16—131no—
1181C2×M16—522no—
1182C2×M16C22×D1311yescharacteristic
1183C22×C8—131no—
1184C22×C8—131no—
1185C22×C8—131no—
1186C22×C8—131no—
1187C22×C8—131no—
1188C22×C8C22×D1311yescharacteristic, complemented
1189C4⋊Q8—131no—
1190C4⋊Q8—131no—
1191C4⋊Q8—261no—
1192C4⋊Q8—261no—
1193#127—131no—
1194#127—261no—
1195#127C22×D1311yescharacteristic
1196#126—21no—
1197#126—261no—
1198#126—261no—
1199#126—261no—
1200#126—261no—
1201#126—261no—
1202#126—261no—
1203#126—261no—
1204#125—21no—
1205#125—131no—
1206#125—261no—
1207#125—261no—
1208#125—261no—
1209#125—261no—
1210#125—261no—
1211#125—261no—
1212#125C22×D1311yescharacteristic, complemented
1213#124—131no—
1214#124—131no—
1215#124—261no—
1216#124—261no—
1217#124—261no—
1218#124—261no—
1219#123—21no—
1220#123—131no—
1221#123—131no—
1222#123—261no—
1223#123—261no—
1224#123—261no—
1225#123—261no—
1226#123—261no—
1227#123—261no—
1228#123—261no—
1229#123—261no—
1230#123—261no—
1231#123—261no—
1232C22⋊Q8—131no—
1233C22⋊Q8—131no—
1234C22⋊Q8—131no—
1235C22⋊Q8—131no—
1236C22⋊Q8—131no—
1237C22⋊Q8—131no—
1238C22⋊Q8—131no—
1239C22⋊Q8—131no—
1240C22⋊Q8—131no—
1241C22⋊Q8—131no—
1242C22⋊Q8—261no—
1243C22⋊Q8—261no—
1244C22⋊Q8—261no—
1245C22⋊Q8—261no—
1246C22⋊Q8—261no—
1247C22⋊Q8—261no—
1248C22⋊Q8—261no—
1249C22⋊Q8—261no—
1250C22⋊Q8C22×D1311yescharacteristic
1251C22⋊Q8C22×D1311yescharacteristic, complemented
1252#121—21no—
1253#121—131no—
1254#121—131no—
1255#121—131no—
1256#121—131no—
1257#121—131no—
1258#121—131no—
1259#121—261no—
1260#121—261no—
1261#121—261no—
1262#121—261no—
1263#121—261no—
1264#121—261no—
1265#121—261no—
1266#121—261no—
1267#121—261no—
1268#121C22×D1311yescharacteristic
1269#121C22×D1311yescharacteristic
1270#120—21no—
1271#120—21no—
1272#120—131no—
1273#120—131no—
1274#120—261no—
1275#120—261no—
1276#120—261no—
1277#120—261no—
1278#120—261no—
1279#120—261no—
1280#120—261no—
1281#120—261no—
1282#120—261no—
1283#120—261no—
1284#120—261no—
1285#120—261no—
1286#120—261no—
1287#120—261no—
1288#120—261no—
1289C4×Q8—131no—
1290C4×Q8—131no—
1291C4×Q8—131no—
1292C4×Q8—261no—
1293C4×Q8—261no—
1294C4×Q8—261no—
1295C4×Q8—261no—
1296C4×Q8—261no—
1297C4×Q8C22×D1311yescharacteristic, complemented
1298C4×D4—131no—
1299C4×D4—131no—
1300C4×D4—131no—
1301C4×D4—131no—
1302C4×D4—131no—
1303C4×D4—131no—
1304C4×D4—261no—
1305C4×D4—261no—
1306C4×D4—261no—
1307C4×D4—261no—
1308C4×D4—261no—
1309C4×D4—261no—
1310C4×D4—261no—
1311C4×D4—261no—
1312C4×D4—261no—
1313C4×D4C22×D1311yescharacteristic
1314C4×D4C22×D1311yescharacteristic
1315#117—21no—
1316#117—131no—
1317#117—131no—
1318#117—131no—
1319#117—131no—
1320#117—131no—
1321#117—131no—
1322#117—131no—
1323#117—261no—
1324#117—261no—
1325#117—261no—
1326#117—261no—
1327#117—261no—
1328#117—261no—
1329#117—261no—
1330#117C22×D1311yescharacteristic
1331C2×C4⋊C4—131no—
1332C2×C4⋊C4—131no—
1333C2×C4⋊C4—131no—
1334C2×C4⋊C4—131no—
1335C2×C4⋊C4—261no—
1336C2×C4⋊C4C22×D1311yescharacteristic, complemented
1337C2×C22⋊C4—261no—
1338C2×C22⋊C4—261no—
1339C2×C22⋊C4—261no—
1340C2×C22⋊C4—261no—
1341C2×C22⋊C4—261no—
1342C2×C22⋊C4—261no—
1343C2×C22⋊C4—261no—
1344C2×C22⋊C4—261no—
1345C2×C42—261no—
1346#107—131no—
1347#107—131no—
1348#107—131no—
1349#107—131no—
1350#107C22×D1311yescharacteristic, complemented
1351#107C22×D1311yescharacteristic, complemented
1352#106—131no—
1353#106—131no—
1354#106—131no—
1355#106—131no—
1356#106—131no—
1357#106C22×D1311yescharacteristic, complemented
1358C4⋊C8—131no—
1359C4⋊C8—131no—
1360C4⋊C8—131no—
1361C4⋊C8C22×D1311yescharacteristic, complemented
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#103C22×D1311yescharacteristic, complemented
1372#102—131no—
1373#102—131no—
1374#102—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#102—131no—
1388#102—131no—
1389#102—131no—
1390#102—131no—
1391#102—131no—
1392#102—131no—
1393#102C22×D1311yescharacteristic
1394#102C22×D1311yescharacteristic
1395#102C22×D1311yescharacteristic
1396#102C22×D1311yescharacteristic
1397#102C22×D1311yescharacteristic
1398#102C22×D1311yescharacteristic
1399#102C22×D1311yescharacteristic, complemented
1400#102C22×D1311yescharacteristic, complemented
1401#102C22×D1311yescharacteristic, complemented
1402C22⋊C8—131no—
1403C22⋊C8—131no—
1404C22⋊C8—131no—
1405C22⋊C8—131no—
1406C22⋊C8—131no—
1407C22⋊C8—131no—
1408C22⋊C8C22×D1311yescharacteristic
1409C22⋊C8C22×D1311yescharacteristic, complemented
1410#97—131no—
1411#97C22×D1311yescharacteristic, complemented
1412C4×C8—131no—
1413C4×C8—131no—
1414C2×C13—41no—
1415C2×C13—42no—
1416C2×C13—41no—
1417C2×C13—81no—
1418C2×C13—81no—
1419C2×C13C2×#54611yescharacteristic
1420C2×C13C2×#57711yescharacteristic
1421C2×C13#358511yescharacteristic
1422D13—22no—
1423D13—22no—
1424D13—41no—
1425D13—42no—
1426D13—81no—
1427C24—21no—
1428C24—21no—
1429C24—131no—
1430C24—261no—
1431C24—261no—
1432C24—261no—
1433C24—261no—
1434C24—261no—
1435C24—261no—
1436C24—524no—
1437C24—1042no—
1438C24—1042no—
1439#41—262no—
1440#41—262no—
1441#41—262no—
1442#41—262no—
1443#41—262no—
1444#41—262no—
1445#41—521no—
1446#41—521no—
1447#41—524no—
1448C2×Q8—131no—
1449C2×Q8—131no—
1450C2×Q8—131no—
1451C2×Q8—261no—
1452C2×Q8—261no—
1453C2×Q8—262no—
1454C2×Q8—262no—
1455C2×Q8—261no—
1456C2×Q8C23×D1311yescharacteristic
1457C2×D4—22no—
1458C2×D4—22no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—41no—
1466C2×D4—41no—
1467C2×D4—82no—
1468C2×D4—134no—
1469C2×D4—131no—
1470C2×D4—131no—
1471C2×D4—131no—
1472C2×D4—131no—
1473C2×D4—131no—
1474C2×D4—131no—
1475C2×D4—131no—
1476C2×D4—131no—
1477C2×D4—262no—
1478C2×D4—261no—
1479C2×D4—262no—
1480C2×D4—262no—
1481C2×D4—262no—
1482C2×D4—261no—
1483C2×D4—261no—
1484C2×D4—261no—
1485C2×D4—261no—
1486C2×D4—261no—
1487C2×D4—261no—
1488C2×D4—261no—
1489C2×D4—262no—
1490C2×D4—262no—
1491C2×D4—262no—
1492C2×D4—261no—
1493C2×D4—261no—
1494C2×D4—261no—
1495C2×D4—261no—
1496C2×D4—261no—
1497C2×D4—261no—
1498C2×D4—261no—
1499C2×D4—521no—
1500C2×D4—521no—
1501C2×D4—521no—
1502C2×D4—521no—
1503C2×D4—524no—
1504C2×D4—524no—
1505C2×D4—524no—
1506C2×D4—524no—
1507C2×D4—524no—
1508C2×D4—524no—
1509C2×D4—1042no—
1510C2×D4—1042no—
1511C2×D4—1042no—
1512C2×D4D4×D1311yescharacteristic
1513C2×D4C23×D1311yescharacteristic
1514C2×D4C23×D1311yescharacteristic
1515C2×D4C23×D1311yescharacteristic
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—131no—
1519C22×C4—131no—
1520C22×C4—131no—
1521C22×C4—131no—
1522C22×C4—131no—
1523C22×C4—131no—
1524C22×C4—262no—
1525C22×C4—262no—
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—261no—
1537C22×C4C23×D1311yescharacteristic
1538C22×C4C23×D1311yescharacteristic
1539Q16—521no—
1540Q16—521no—
1541SD16—22no—
1542SD16—41no—
1543SD16—41no—
1544SD16—262no—
1545SD16—262no—
1546SD16—262no—
1547SD16—521no—
1548SD16—521no—
1549SD16—521no—
1550SD16—521no—
1551M16—41no—
1552M16—262no—
1553M16—262no—
1554M16—521no—
1555M16—521no—
1556M16—521no—
1557C2×C8—41no—
1558C2×C8—131no—
1559C2×C8—131no—
1560C2×C8—131no—
1561C2×C8—131no—
1562C2×C8—262no—
1563C2×C8—262no—
1564C2×C8—521no—
1565C2×C8—521no—
1566C2×C8—521no—
1567C2×C8C23×D1311yescharacteristic
1568C2×C8C23×D1311yescharacteristic
1569C2×C8C23×D1311yescharacteristic
1570C2×C8C23×D1311yescharacteristic
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
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—131no—
1585C4⋊C4—131no—
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⋊C4—261no—
1605C4⋊C4D4×D1311yescharacteristic
1606C4⋊C4C23×D1311yescharacteristic
1607C4⋊C4C23×D1311yescharacteristic
1608C4⋊C4C23×D1311yescharacteristic
1609C4⋊C4C23×D1311yescharacteristic
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—131no—
1623C22⋊C4—131no—
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⋊C4—261no—
1647C22⋊C4—261no—
1648C22⋊C4—261no—
1649C22⋊C4D4×D1311yescharacteristic
1650C22⋊C4D4×D1311yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—131no—
1654C42—261no—
1655C42—261no—
1656C42—261no—
1657C42—261no—
1658C42—261no—
1659C42—261no—
1660C42—261no—
1661C42—261no—
1662C42—261no—
1663C42C23×D1311yescharacteristic
1664C13#6118411yescharacteristic, complemented, Sylow
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—42no—
1669C23—42no—
1670C23—42no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23—131no—
1675C23—131no—
1676C23—131no—
1677C23—262no—
1678C23—262no—
1679C23—264no—
1680C23—261no—
1681C23—261no—
1682C23—521no—
1683C23—522no—
1684C23—522no—
1685C23—522no—
1686C23—522no—
1687C23—522no—
1688C23—522no—
1689C23—522no—
1690C23—522no—
1691C23—1041no—
1692C23—1041no—
1693C23—1041no—
1694C23—1041no—
1695C23—1041no—
1696C23—1041no—
1697C23—1041no—
1698C23—1041no—
1699C23—1041no—
1700C23—10416no—
1701C23C2×D4×D1311yescharacteristic
1702C23C2×D4×D1311yescharacteristic
1703Q8—21no—
1704Q8—21no—
1705Q8—262no—
1706Q8—261no—
1707Q8—261no—
1708Q8—261no—
1709Q8—261no—
1710Q8—522no—
1711Q8—1041no—
1712Q8—1041no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—41no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—132no—
1726D4—262no—
1727D4—262no—
1728D4—264no—
1729D4—262no—
1730D4—262no—
1731D4—262no—
1732D4—261no—
1733D4—261no—
1734D4—261no—
1735D4—522no—
1736D4—522no—
1737D4—521no—
1738D4—522no—
1739D4—522no—
1740D4—522no—
1741D4—522no—
1742D4—522no—
1743D4—522no—
1744D4—522no—
1745D4—1041no—
1746D4—1041no—
1747D4—1041no—
1748D4—1041no—
1749D4—1041no—
1750D4#41×D1312yes—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—131no—
1763C2×C4—132no—
1764C2×C4—132no—
1765C2×C4—131no—
1766C2×C4—131no—
1767C2×C4—131no—
1768C2×C4—131no—
1769C2×C4—262no—
1770C2×C4—262no—
1771C2×C4—262no—
1772C2×C4—261no—
1773C2×C4—261no—
1774C2×C4—261no—
1775C2×C4—261no—
1776C2×C4—261no—
1777C2×C4—261no—
1778C2×C4—261no—
1779C2×C4—261no—
1780C2×C4—261no—
1781C2×C4—261no—
1782C2×C4—522no—
1783C2×C4—522no—
1784C2×C4—522no—
1785C2×C4—522no—
1786C2×C4—522no—
1787C2×C4—1041no—
1788C2×C4—1041no—
1789C2×C4—1041no—
1790C2×C4—1041no—
1791C2×C4—1041no—
1792C2×C4—1041no—
1793C2×C4C2×D4×D1311yescharacteristic
1794C2×C4C2×D4×D1311yescharacteristic
1795C2×C4C2×D4×D1311yescharacteristic
1796C2×C4C2×D4×D1311yescharacteristic
1797C2×C4C24×D1311yescharacteristic
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—21no—
1802C8—261no—
1803C8—261no—
1804C8—261no—
1805C8—261no—
1806C22—21no—
1807C22—21no—
1808C22—22no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—84no—
1822C22—132no—
1823C22—132no—
1824C22—162no—
1825C22—261no—
1826C22—261no—
1827C22—261no—
1828C22—261no—
1829C22—261no—
1830C22—262no—
1831C22—261no—
1832C22—261no—
1833C22—524no—
1834C22—521no—
1835C22—521no—
1836C22—521no—
1837C22—521no—
1838C22—521no—
1839C22—1044no—
1840C22—1044no—
1841C22—1044no—
1842C22—1044no—
1843C22—1044no—
1844C22—2082no—
1845C22C22×D4×D1311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—132no—
1856C4—261no—
1857C4—261no—
1858C4—261no—
1859C4—261no—
1860C4—521no—
1861C4—521no—
1862C4—521no—
1863C4—521no—
1864C4—521no—
1865C4—521no—
1866C4C2×#41×D1311yescharacteristic
1867C4D13×H(5,𝔽2)11yescharacteristic
1868C2—41no—
1869C2—41no—
1870C2—42no—
1871C2—81no—
1872C2—81no—
1873C2—262no—
1874C2—262no—
1875C2—521no—
1876C2—522no—
1877C2—1041no—
1878C2D13×#54611yescharacteristic
1879C2D13×#57711yescharacteristic
1880C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3310C2
socleC22×C13C23×D4
prime radical#13128464C2
hypercenter#3310D13
hypocenterC13#61184
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #13128587C2semidirect
3. #13127067C2semidirect
4. #13127062C2semidirect
5. #13127048C2semidirect
6. #13127046C2semidirect
7. #13126922C2semidirect
8. #13126920C2semidirect
9. #13126874C2semidirect
10. #13126865C2semidirect
11. #13126860C2semidirect
12. #13126856C2semidirect
13. #13126850C2semidirect
14. #13126668C2semidirect
15. #13126666C2semidirect
16. #13126663C2semidirect
17. #13126656C2semidirect
18. #13125191C2semidirect
19. #13124787C2semidirect
20. #13124748C2semidirect
21. #13124666C2semidirect
22. #13124470C2semidirect
23. #13124461C2semidirect
24. #13124352C2semidirect
25. #13124108C2semidirect
26. D13×#450C2semidirect
27. #13123692C2semidirect
28. #13123559C2semidirect
29. #13123357C2semidirect
30. D13×#418C2semidirect
31. C13×#3310C2semidirect
34. C13×#552C22semidirect
40. C2×#88169C22semidirect
42. C2×SD16×D13C22semidirect
43. C2×M16×D13C22semidirect
44. C2×#88155C22semidirect
49. #11719399C22semidirect
51. #11719394C22semidirect
55. #11719346C22semidirect
56. #11719344C22semidirect
57. #11719333C22semidirect
58. D13×C22⋊Q8C22semidirect
69. #11719284C22semidirect
70. #11719277C22semidirect
75. #11719247C22semidirect
77. #11719234C22semidirect
79. D13×#117C22semidirect
80. #11719216C22semidirect
81. #11719209C22semidirect
82. C13×#490C22semidirect
83. C13×#482C22semidirect
84. C13×#480C22semidirect
85. C13×#478C22semidirect
86. C13×#468C22semidirect
87. C13×#465C22semidirect
88. C13×#460C22semidirect
89. C13×#450C22semidirect
90. C13×#450C22semidirect
91. C13×#440C22semidirect
92. C13×#435C22semidirect
93. C13×#418C22semidirect
94. C2×C13×#102C22semidirect
95. #11718879C22semidirect
96. #11718879C22semidirect
97. #11718876C22semidirect
98. #11718876C22semidirect
99. #11718834C22semidirect
100. #11718832C22semidirect
101. #11718832C22semidirect
102. #11718830C22semidirect
103. #11718830C22semidirect
104. #11718830C22semidirect
105. #11718827C22semidirect
106. #11718825C22semidirect
107. #11718824C22semidirect
108. #11718798C22semidirect
109. #11718792C22semidirect
110. #11718789C22semidirect
111. #11718775C22semidirect
112. #11718774C22semidirect
113. C8×C22⋊D13C22semidirect
114. #11718736C22semidirect
115. #11718731C22semidirect
116. #11718729C22semidirect
117. #11718727C22semidirect
118. #11718713C22semidirect
119. #11718710C22semidirect
120. #11718708C22semidirect
121. #11718707C22semidirect
122. #11718703C22semidirect
123. #11718703C22semidirect
124. #11718696C22semidirect
125. #11718696C22semidirect
126. #11718689C22semidirect
127. C4×#6106C22semidirect
128. C4×#6105C22semidirect
129. #11718673C22semidirect
130. #11718668C22semidirect
131. #11718662C22semidirect
132. #11718657C22semidirect
133. #11718629C22semidirect
134. #11718627C22semidirect
135. #11718551C22semidirect
136. #11718550C22semidirect
137. #11718548C22semidirect
138. #11718546C22semidirect
139. #11718545C22semidirect
140. #11718543C22semidirect
141. #11718542C22semidirect
142. #11718541C22semidirect
143. #11718532C22semidirect
144. #11718525C22semidirect
145. #11718523C22semidirect
146. #11718521C22semidirect
147. #11718506C22semidirect
148. #11718503C22semidirect
149. #11718500C22semidirect
150. #11718495C22semidirect
151. #11718474C22semidirect
152. #11718473C22semidirect
153. #11718463C22semidirect
154. #11718449C22semidirect
155. #11718445C22semidirect
156. #11718444C22semidirect
157. #11718441C22semidirect
158. #11718439C22semidirect
159. #11718438C22semidirect
160. #11718438C22semidirect
161. #11718437C22semidirect
162. #11718437C22semidirect
163. #11718437C22semidirect
164. #11718435C22semidirect
165. #11718433C22semidirect
166. #11718433C22semidirect
167. #11718433C22semidirect
168. #11718432C22semidirect
169. #11718432C22semidirect
172. #11718431C22semidirect
173. #11718431C22semidirect
174. #11718431C22semidirect
176. D13×#102C22semidirect
177. D13×#102C22semidirect
178. D13×#102C22semidirect
179. D13×#102C22semidirect
180. D13×#102C22semidirect
181. D13×#102C22semidirect
182. #11718429C22semidirect
183. #11718428C22semidirect
184. #11718426C22semidirect
185. #11718425C22semidirect
186. #11718424C22semidirect
187. #11718423C22semidirect
188. #11718422C22semidirect
189. #11718421C22semidirect
190. #11718419C22semidirect
191. #11718398C22semidirect
192. #11718394C22semidirect
193. #11718392C22semidirect
194. #11718389C22semidirect
195. #11718389C22semidirect
196. #11718388C22semidirect
197. D13×C22⋊C8C22semidirect
198. #11718384C22semidirect
199. #11718375C22semidirect
200. #11718371C22semidirect
201. #11718369C22semidirect
202. #11718367C22semidirect
235. C2×C13×SD16C23semidirect
237. C22×C8×C13C23semidirect
241. C13×#125C23semidirect
244. C13×C22⋊Q8C23semidirect
250. C4×Q8×C13C23semidirect
255. C2×C13×C4⋊C4C23semidirect
260. #88200C23semidirect
261. Q8×Dic13C23semidirect
262. C2×#6107C23semidirect
294. C2×#6105C23semidirect
306. #88180C23semidirect
310. #88178C23semidirect
312. C2×#6099C23semidirect
317. C2×Dic52C23semidirect
323. C2×#6094C23semidirect
328. C2×C8×D13C23semidirect
334. #88151C23semidirect
354. #88146C23semidirect
359. C4⋊C4×D13C23semidirect
361. #88144C23semidirect
367. #88142C23semidirect
372. #88141C23semidirect
416. #88123C23semidirect
418. C4×Dic26C23semidirect
419. C13×#107C23semidirect
420. C13×#107C23semidirect
421. C13×#106C23semidirect
422. C13×C4⋊C8C23semidirect
423. C13×#103C23semidirect
430. C13×#102C23semidirect
431. C13×#102C23semidirect
432. C13×#102C23semidirect
434. C13×C22⋊C8C23semidirect
435. C13×#97C23semidirect
436. #88075C23semidirect
443. #88072C23semidirect
444. #88072C23semidirect
445. #88072C23semidirect
447. C22⋊#1055C23semidirect
456. #88060C23semidirect
457. #88060C23semidirect
458. #88058C23semidirect
459. #88057C23semidirect
460. #88057C23semidirect
461. #88056C23semidirect
462. #88056C23semidirect
463. #88056C23semidirect
464. #88056C23semidirect
465. #88055C23semidirect
466. #88054C23semidirect
467. #88054C23semidirect
468. C8×Dic13C23semidirect
469. #88050C23semidirect
470. #88050C23semidirect
471. #88050C23semidirect
472. #88050C23semidirect
479. #88048C23semidirect
480. #88048C23semidirect
481. #88048C23semidirect
482. #88047C23semidirect
483. #88047C23semidirect
484. #88047C23semidirect
485. C4⋊#1055C23semidirect
486. C4×#1055C23semidirect
738. #3310D13semidirect
913. #552C2×D13semidirect
948. #490C2×D13semidirect
964. #482C2×D13semidirect
970. #480C2×D13semidirect
974. #478C2×D13semidirect
986. #468C2×D13semidirect
994. #465C2×D13semidirect
1002. #460C2×D13semidirect
1017. #450C2×D13semidirect
1018. #450C2×D13semidirect
1022. #440C2×D13semidirect
1032. #435C2×D13semidirect
1049. #418C2×D13semidirect
1064. C2×#102C2×D13semidirect
1174. C2×SD16C22×D13semidirect
1188. C22×C8C22×D13semidirect
1212. #125C22×D13semidirect
1251. C22⋊Q8C22×D13semidirect
1297. C4×Q8C22×D13semidirect
1336. C2×C4⋊C4C22×D13semidirect
1350. #107C22×D13semidirect
1351. #107C22×D13semidirect
1357. #106C22×D13semidirect
1361. C4⋊C8C22×D13semidirect
1371. #103C22×D13semidirect
1399. #102C22×D13semidirect
1400. #102C22×D13semidirect
1401. #102C22×D13semidirect
1409. C22⋊C8C22×D13semidirect
1411. #97C22×D13semidirect
1664. C13#61184semidirect

Maximal subgroups

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

subgroupindex
#131285872
#131284642
#131270672
#131270622
#131270482
#131270462
#131269222
#131269202
#131268742
#131268652
#131268602
#131268562
#131268502
#131266682
#131266662
#131266632
#131266562
#131251912
#131247872
#131247482
#131246662
#131244702
#131244612
#131243522
#131241082
D13×#4502
#131236922
#131235592
#131233572
D13×#4182
C13×#33102
#6118413