Finite Group Databasebeta

← #16748498

Subgroups — #16748498

Order 3328.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129119C211yesmaximal, characteristic, complemented
2#13128464C211yesmaximal, characteristic, complemented
3#13127062C211yesmaximal, characteristic, complemented
4#13127054C211yesmaximal, characteristic, complemented
5#13126984C211yesmaximal, characteristic, complemented
6#13126912C211yesmaximal, characteristic, complemented
7#13126865C211yesmaximal, characteristic, complemented
8#13126857C211yesmaximal, characteristic, complemented
9#13126691C211yesmaximal, characteristic, complemented
10#13126653C211yesmaximal, characteristic, complemented
11#13126546C211yesmaximal, characteristic, complemented
12#13126531C211yesmaximal, characteristic, complemented
13#13126467C211yesmaximal, characteristic, complemented
14#13126362C211yesmaximal, characteristic, complemented
15#13126352C211yesmaximal, characteristic, complemented
16#13126334C211yesmaximal, characteristic, complemented
17#13126325C211yesmaximal, characteristic, complemented
18#13125927C211yesmaximal, characteristic, complemented
19#13125901C211yesmaximal, characteristic, complemented
20#13125704C211yesmaximal, characteristic, complemented
21#13125687C211yesmaximal, characteristic, complemented
22#13125661C211yesmaximal, characteristic, complemented
23#13125626C211yesmaximal, characteristic, complemented
24#13125086C211yesmaximal, characteristic, complemented
25#13125016C211yesmaximal, characteristic, complemented
26#13124139C211yesmaximal, characteristic, complemented
27#13124108C211yesmaximal, characteristic, complemented
28#13124061C211yesmaximal, characteristic, complemented
29D13×#450C211yesmaximal, characteristic, complemented
30#13123880C211yesmaximal, characteristic, complemented
31C13×#3272C211yesmaximal, characteristic, complemented
32C2×#88251C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C13×#547C2211yescharacteristic, complemented
37D42×C13C2211yescharacteristic
38#11719538C2211yescharacteristic, complemented
39#11719536C2211yescharacteristic, complemented
40#11719536C2211yescharacteristic, complemented
41#11719533C2211yescharacteristic, complemented
42C2×#88204C2211yescharacteristic, complemented
43C2×#88203C2211yescharacteristic, complemented
44#11719511C2211yescharacteristic
45D4×C22⋊D13—21no—
46D4×C22⋊D13C2211yescharacteristic
47C2×#88191—21no—
48C2×#88169C2211yescharacteristic, complemented
49C2×SD16×D13C2211yescharacteristic, complemented
50C2×SD16×D13C2211yescharacteristic, complemented
51C2×SD16×D13C2211yescharacteristic, complemented
52#11719436C2211yescharacteristic, complemented
53#11719432C2211yescharacteristic, complemented
54#11719422C2211yescharacteristic
55#11719420C2211yescharacteristic
56#11719367—21no—
57#11719366—21no—
58#11719362—21no—
59#11719356—21no—
60#11719346C2211yescharacteristic, complemented
61#11719340C2211yescharacteristic, complemented
62#11719333C2211yescharacteristic, complemented
63D13×C22⋊Q8C2211yescharacteristic, complemented
64#11719326—21no—
65#11719318—21no—
66#11719317C2211yescharacteristic
67#11719315—21no—
68#11719314C2211yescharacteristic
69#11719312C2211yescharacteristic
70#11719311C2211yescharacteristic
71#11719310—21no—
72#11719296—21no—
73#11719295—21no—
74#11719294—21no—
75D13×#120—21no—
76#11719266C2211yescharacteristic, complemented
77#11719263C2211yescharacteristic, complemented
78#11719259C2211yescharacteristic
79#11719255C2211yescharacteristic
80#11719252C2211yescharacteristic
81#11719250C2211yescharacteristic
82#11719246C2211yescharacteristic, complemented
83#11719220—21no—
84#11719216—21no—
85C13×#492C2211yescharacteristic, complemented
86C13×#468C2211yescharacteristic, complemented
87C13×#468C2211yescharacteristic, complemented
88C13×#461C2211yescharacteristic, complemented
89C13×#459C2211yescharacteristic, complemented
90C13×#450C2211yescharacteristic, complemented
91C13×#450C2211yescharacteristic, complemented
92C13×#449C2211yescharacteristic, complemented
93C13×#449C2211yescharacteristic, complemented
94C4×C13×D8C2211yescharacteristic, complemented
95C13×#436C2211yescharacteristic, complemented
96#11718900C2211yescharacteristic, complemented
97#11718899C2211yescharacteristic, complemented
98#11718879C2211yescharacteristic, complemented
99#11718879C2211yescharacteristic, complemented
100#11718876C2211yescharacteristic, complemented
101C2×#88072C2211yescharacteristic, complemented
102#11718834C2211yescharacteristic, complemented
103#11718834C2211yescharacteristic, complemented
104#11718834C2211yescharacteristic, complemented
105#11718832C2211yescharacteristic, complemented
106#11718832C2211yescharacteristic, complemented
107#11718831C2211yescharacteristic, complemented
108#11718831C2211yescharacteristic, complemented
109#11718830C2211yescharacteristic
110#11718830C2211yescharacteristic
111#11718830C2211yescharacteristic, complemented
112#11718830C2211yescharacteristic, complemented
113#11718830C2211yescharacteristic, complemented
114#11718830C2211yescharacteristic, complemented
115#11718830C2211yescharacteristic, complemented
116#11718827C2211yescharacteristic, complemented
117#11718827C2211yescharacteristic, complemented
118#11718825C2211yescharacteristic, complemented
119#11718824C2211yescharacteristic, complemented
120#11718824C2211yescharacteristic, complemented
121SD16×Dic13C2211yescharacteristic, complemented
122#11718820C2211yescharacteristic, complemented
123#11718819C2211yescharacteristic, complemented
124#11718819C2211yescharacteristic, complemented
125#11718818C2211yescharacteristic, complemented
126#11718817C2211yescharacteristic
127#11718817C2211yescharacteristic, complemented
128#11718817C2211yescharacteristic, complemented
129#11718817C2211yescharacteristic, complemented
130#11718817C2211yescharacteristic, complemented
131#11718816C2211yescharacteristic, complemented
132#11718815C2211yescharacteristic, complemented
133#11718814C2211yescharacteristic, complemented
134#11718798C2211yescharacteristic, complemented
135#11718795C2211yescharacteristic, complemented
136#11718794C2211yescharacteristic, complemented
137#11718792C2211yescharacteristic, complemented
138#11718790C2211yescharacteristic, complemented
139#11718789C2211yescharacteristic, complemented
140#11718788C2211yescharacteristic, complemented
141#11718787C2211yescharacteristic, complemented
142#11718747C2211yescharacteristic, complemented
143#11718744C2211yescharacteristic, complemented
144#11718736C2211yescharacteristic, complemented
145#11718732C2211yescharacteristic, complemented
146#11718713C2211yescharacteristic, complemented
147#11718709C2211yescharacteristic, complemented
148#11718708C2211yescharacteristic, complemented
149#11718707C2211yescharacteristic, complemented
150#11718703C2211yescharacteristic, complemented
151#11718702C2211yescharacteristic, complemented
152#11718696C2211yescharacteristic, complemented
153#11718694C2211yescharacteristic, complemented
154#11718679C2211yescharacteristic, complemented
155#11718677C2211yescharacteristic, complemented
156#11718675C2211yescharacteristic, complemented
157#11718672C2211yescharacteristic, complemented
158#11718670C2211yescharacteristic, complemented
159#11718551C2211yescharacteristic, complemented
160#11718549C2211yescharacteristic, complemented
161#11718546C2211yescharacteristic, complemented
162#11718545C2211yescharacteristic, complemented
163#11718508C2211yescharacteristic, complemented
164#11718506C2211yescharacteristic, complemented
165#11718501C2211yescharacteristic, complemented
166#11718497C2211yescharacteristic, complemented
167#11718478C2211yescharacteristic, complemented
168#11718476C2211yescharacteristic, complemented
169#11718475C2211yescharacteristic, complemented
170#11718474C2211yescharacteristic, complemented
171#11718473C2211yescharacteristic, complemented
172#11718469C2211yescharacteristic, complemented
173#11718467C2211yescharacteristic, complemented
174#11718449C2211yescharacteristic, complemented
175#11718448C2211yescharacteristic, complemented
176#11718445C2211yescharacteristic, complemented
177#11718444C2211yescharacteristic, complemented
178#11718440C2211yescharacteristic, complemented
179#11718439C2211yescharacteristic, complemented
180#11718438C2211yescharacteristic, complemented
181#11718437C2211yescharacteristic
182#11718437C2211yescharacteristic, complemented
183#11718436C2211yescharacteristic, complemented
184#11718433C2211yescharacteristic, complemented
185#11718431C2211yescharacteristic, complemented
186D13×#102C2211yescharacteristic, complemented
187D13×#102C2211yescharacteristic, complemented
188#11718426C2211yescharacteristic, complemented
189#11718422C2211yescharacteristic, complemented
190#11718421C2211yescharacteristic, complemented
191#11718396C2211yescharacteristic, complemented
192#11718394C2211yescharacteristic, complemented
193#11718392C2211yescharacteristic, complemented
194#11718389C2211yescharacteristic, complemented
195#11718388C2211yescharacteristic, complemented
196#11718386C2211yescharacteristic, complemented
197D13×C22⋊C8C2211yescharacteristic, complemented
198#11718384C2211yescharacteristic, complemented
199#11718358C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic, complemented
201#11718351C2211yescharacteristic, complemented
202C8×D52C2211yescharacteristic, complemented
203C24×D13—21no—
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic, complemented
206C22×D4×C13—21no—
207C22×D4×C13C2311yescharacteristic
208C22×D4×C13C2311yescharacteristic
209C22×C22⋊D13—21no—
210C22×C22⋊D13—21no—
211C22×C22⋊D13—21no—
212C22×C22⋊D13—21no—
213C2×Q8×D13C2311yescharacteristic
214C2×Q8×D13C2311yescharacteristic, complemented
215#88251—42no—
216#88251—42no—
217C2×#6129—21no—
218C2×#6129C2311yescharacteristic
219C2×#6129C2311yescharacteristic
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—21no—
223C2×D4×D13—21no—
224C2×D4×D13—21no—
225C2×D4×D13—42no—
226C2×D4×D13—42no—
227C2×D4×D13C2311yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C2×D4×D13C2311yescharacteristic
230C2×D4×D13C2311yescharacteristic
231C2×D4×D13C2311yescharacteristic
232C2×#6127C2311yescharacteristic
233C2×#6127C2311yescharacteristic
234C22×D52C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C13×AGL(1,ℤ/8)—42no—
237C13×AGL(1,ℤ/8)—42no—
238C2×C13×SD16C2311yescharacteristic
239C2×C13×SD16C2311yescharacteristic
240C2×C13×SD16C2311yescharacteristic
241C2×C13×SD16C2311yescharacteristic
242C2×C13×SD16C2311yescharacteristic, complemented
243C2×C13×SD16C2311yescharacteristic, complemented
244C2×C13×D8C2311yescharacteristic
245C2×C13×D8C2311yescharacteristic
246C2×C13×D8C2311yescharacteristic, complemented
247C2×C13×M16C2311yescharacteristic
248C2×C13×M16C2311yescharacteristic, complemented
249C13×C4⋊Q8C2311yescharacteristic, complemented
250C13×#127C2311yescharacteristic
251C13×#123—21no—
252C13×#123—21no—
253C13×C22⋊Q8C2311yescharacteristic
254C13×C22⋊Q8C2311yescharacteristic, complemented
255C13×#121—21no—
256C13×#121—21no—
257C13×#121C2311yescharacteristic
258C13×#121C2311yescharacteristic
259C13×#120—21no—
260C13×#120—21no—
261C4×D4×C13C2311yescharacteristic
262C4×D4×C13C2311yescharacteristic
263C4×D4×C13C2311yescharacteristic, complemented
264C2×C13×C4⋊C4—21no—
265#88207—21no—
266#88207—21no—
267C2×C22⋊Dic13—21no—
268#88204—42no—
269#88203—42no—
270#88200C2311yescharacteristic
271#88200C2311yescharacteristic
272#88200C2311yescharacteristic
273#88200C2311yescharacteristic, complemented
274Q8×Dic13C2311yescharacteristic, complemented
275Q8×Dic13C2311yescharacteristic, complemented
276C2×#6107C2311yescharacteristic, complemented
277C2×#6107C2311yescharacteristic, complemented
278C2×#6106C2311yescharacteristic
279C2×#6106C2311yescharacteristic
280C2×#6106C2311yescharacteristic
281C2×#6106C2311yescharacteristic
282#88194—21no—
283#88194C2311yescharacteristic
284#88193—21no—
285#88193—21no—
286#88193—21no—
287#88193—21no—
288#88193—21no—
289#88193—21no—
290#88193D411yescharacteristic
291#88192—21no—
292#88192—21no—
293#88192—21no—
294#88192—21no—
295#88192C2311yescharacteristic
296#88192C2311yescharacteristic
297#88192C2311yescharacteristic
298#88192C2311yescharacteristic
299#88192C2311yescharacteristic, complemented
300#88191—21no—
301#88191—21no—
302#88191—21no—
303#88191—21no—
304#88191—21no—
305#88191—21no—
306#88191—21no—
307#88191—21no—
308#88191—21no—
309#88191—21no—
310#88191—21no—
311#88191D411yescharacteristic
312#88190—21no—
313#88190—21no—
314#88190C2311yescharacteristic
315#88190C2311yescharacteristic, complemented
316#88189—21no—
317#88189—21no—
318#88189—21no—
319D4×Dic13—21no—
320D4×Dic13C2311yescharacteristic
321C2×#6105C2311yescharacteristic
322C2×#6105C2311yescharacteristic
323C2×#6105C2311yescharacteristic, complemented
324C2×#6105C2311yescharacteristic, complemented
325C2×#6104C2311yescharacteristic
326C2×#6104C2311yescharacteristic
327#88184—21no—
328#88184—21no—
329#88184C2311yescharacteristic
330#88183—21no—
331#88183—21no—
332C4×C22⋊D13—21no—
333C4×C22⋊D13—21no—
334C4×C22⋊D13—21no—
335C4×C22⋊D13—21no—
336C4×C22⋊D13—21no—
337C4×C22⋊D13—21no—
338C4×C22⋊D13C2311yescharacteristic
339C4×C22⋊D13C2311yescharacteristic
340C2×#6103—21no—
341C2×#6103—21no—
342#88180C2311yescharacteristic
343C2×C4⋊Dic13C2311yescharacteristic, complemented
344#88178—21no—
345#88178—21no—
346#88178—21no—
347#88178—21no—
348#88178C2311yescharacteristic
349#88178C2311yescharacteristic
350#88178C2311yescharacteristic, complemented
351C2×#6099C2311yescharacteristic
352C22×#1055C2311yescharacteristic, complemented
353#88169—42no—
354SD16×D13—42no—
355SD16×D13—42no—
356SD16×D13—42no—
357C2×Dic52C2311yescharacteristic, complemented
358C2×#6095C2311yescharacteristic
359C2×#6095C2311yescharacteristic
360C2×#6094C2311yescharacteristic, complemented
361C2×C8×D13C2311yescharacteristic
362C2×C8×D13C2311yescharacteristic
363C2×C8×D13C2311yescharacteristic, complemented
364#88152—21no—
365#88152—21no—
366#88152—21no—
367#88151—21no—
368#88151C2311yescharacteristic
369#88151C2311yescharacteristic
370#88150—21no—
371#88150—21no—
372#88150—21no—
373#88150D411yescharacteristic
374#88149C2311yescharacteristic
375#88148—21no—
376#88148—21no—
377#88148D411yescharacteristic
378#88147—21no—
379#88147C2311yescharacteristic
380#88146C2311yescharacteristic
381#88146C2311yescharacteristic, complemented
382C4⋊C4×D13—21no—
383C4⋊C4×D13C2311yescharacteristic
384#88143—21no—
385#88143—21no—
386#88143—21no—
387#88143—21no—
388#88142—21no—
389#88142—21no—
390#88142C2311yescharacteristic, complemented
391#88141—21no—
392#88140—21no—
393#88139—21no—
394#88139—21no—
395#88139—21no—
396#88139—21no—
397#88138—21no—
398#88138—21no—
399#88138—21no—
400#88138D411yescharacteristic
401#88137—21no—
402#88137—21no—
403#88137—21no—
404#88137D411yescharacteristic
405#88136—21no—
406#88136—21no—
407#88136—21no—
408#88136D411yescharacteristic
409#88135—21no—
410#88135—21no—
411#88135—21no—
412C22⋊C4×D13—21no—
413C22⋊C4×D13—21no—
414C22⋊C4×D13—21no—
415C22⋊C4×D13—21no—
416#88133—21no—
417#88133—21no—
418#88133—21no—
419#88133—21no—
420#88132—21no—
421#88132—21no—
422#88132D411yescharacteristic
423#88131—21no—
424#88129C2311yescharacteristic
425C4×D52C2311yescharacteristic
426C4×D52C2311yescharacteristic
427#88126C2311yescharacteristic
428#88124C2311yescharacteristic, complemented
429C4×Dic26C2311yescharacteristic, complemented
430C13×#107C2311yescharacteristic, complemented
431C13×C4⋊C8C2311yescharacteristic, complemented
432C13×#103C2311yescharacteristic, complemented
433C13×#103C2311yescharacteristic, complemented
434C13×#102C2311yescharacteristic
435C13×#102C2311yescharacteristic
436C13×#102C2311yescharacteristic, complemented
437C13×#102C2311yescharacteristic, complemented
438C13×C22⋊C8C2311yescharacteristic
439C13×C22⋊C8C2311yescharacteristic, complemented
440C4×C8×C13C2311yescharacteristic, complemented
441#88075C2311yescharacteristic, complemented
442#88075C2311yescharacteristic, complemented
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic
446#88072C2311yescharacteristic
447#88072C2311yescharacteristic
448#88072C2311yescharacteristic
449#88072C2311yescharacteristic, complemented
450#88072C2311yescharacteristic, complemented
451#88072C2311yescharacteristic, complemented
452#88072C2311yescharacteristic, complemented
453C22⋊#1055C2311yescharacteristic
454C22⋊#1055C2311yescharacteristic, complemented
455#88061C2311yescharacteristic
456#88061C2311yescharacteristic
457#88061C2311yescharacteristic
458#88061C2311yescharacteristic
459#88061C2311yescharacteristic
460#88061C2311yescharacteristic
461#88060C2311yescharacteristic
462#88060C2311yescharacteristic
463#88060C2311yescharacteristic
464#88060C2311yescharacteristic
465#88060C2311yescharacteristic
466#88060C2311yescharacteristic
467#88060C2311yescharacteristic, complemented
468#88060C2311yescharacteristic, complemented
469#88058C2311yescharacteristic, complemented
470#88057C2311yescharacteristic, complemented
471#88057C2311yescharacteristic, complemented
472#88056C2311yescharacteristic, complemented
473#88056C2311yescharacteristic, complemented
474#88056C2311yescharacteristic, complemented
475#88056C2311yescharacteristic, complemented
476#88055C2311yescharacteristic, complemented
477#88054C2311yescharacteristic, complemented
478#88054C2311yescharacteristic, complemented
479C8×Dic13C2311yescharacteristic, complemented
480#88050C2311yescharacteristic, complemented
481#88050C2311yescharacteristic, complemented
482#88049C2311yescharacteristic
483#88049C2311yescharacteristic
484#88048C2311yescharacteristic, complemented
485#88048C2311yescharacteristic, complemented
486#88047C2311yescharacteristic, complemented
487#88047C2311yescharacteristic, complemented
488C4⋊#1055C2311yescharacteristic, complemented
489#88043C2311yescharacteristic, complemented
490#61610—131nomaximal, Sylow
491C24×C13—21no—
492C24×C13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—21no—
498C23×D13—21no—
499C23×D13—44no—
500C23×D13—82no—
501C23×D13—82no—
502C23×D13C2×D411yescharacteristic
503C13×#41—41no—
504C13×#41—41no—
505C13×#41—41no—
506C13×#41—41no—
507C2×Q8×C13C2411yescharacteristic
508C2×Q8×C13C2411yescharacteristic
509C2×D4×C13—22no—
510C2×D4×C13—22no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—21no—
515C2×D4×C13—21no—
516C2×D4×C13—21no—
517C2×D4×C13—21no—
518C2×D4×C13—21no—
519C2×D4×C13—41no—
520C2×D4×C13—41no—
521C2×D4×C13—82no—
522C2×D4×C13C2×D411yescharacteristic
523C2×D4×C13C2411yescharacteristic
524C2×D4×C13C2411yescharacteristic
525C2×D4×C13C2411yescharacteristic
526C2×D4×C13C2411yescharacteristic
527C22×C4×C13—21no—
528C22×C4×C13—21no—
529C22×C4×C13—21no—
530C22×C4×C13—21no—
531C22×C4×C13C2411yescharacteristic
532C22×C4×C13C2411yescharacteristic
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—21no—
537C2×C22⋊D13—21no—
538C2×C22⋊D13—21no—
539C2×C22⋊D13—21no—
540C2×C22⋊D13—21no—
541C2×C22⋊D13—21no—
542C2×C22⋊D13—21no—
543C2×C22⋊D13—21no—
544C2×C22⋊D13—21no—
545C2×C22⋊D13—21no—
546C2×C22⋊D13—21no—
547C2×C22⋊D13—21no—
548C2×C22⋊D13—21no—
549C2×C22⋊D13—44no—
550C2×C22⋊D13—44no—
551C2×C22⋊D13—44no—
552C2×C22⋊D13—82no—
553C2×C22⋊D13C2×D411yescharacteristic
554C2×C22⋊D13C2×D411yescharacteristic
555C2×C22⋊D13C2×D411yescharacteristic
556C2×C22⋊D13C2×D411yescharacteristic
557C22×Dic13—21no—
558C22×Dic13—21no—
559C22×Dic13—21no—
560C22×Dic13—21no—
561C22×Dic13C2×D411yescharacteristic
562Q8×D13—41no—
563Q8×D13—41no—
564Q8×D13—41no—
565Q8×D13—41no—
566#6129—22no—
567#6129—41no—
568#6129—41no—
569#6129—41no—
570#6129—44no—
571D4×D13—22no—
572D4×D13—22no—
573D4×D13—22no—
574D4×D13—22no—
575D4×D13—22no—
576D4×D13—41no—
577D4×D13—41no—
578D4×D13—41no—
579D4×D13—41no—
580D4×D13—41no—
581D4×D13—44no—
582D4×D13—44no—
583D4×D13—44no—
584D4×D13—82no—
585D4×D13—82no—
586#6127—22no—
587#6127—41no—
588#6127—41no—
589#6127—41no—
590C2×D52—22no—
591C2×D52—21no—
592C2×D52—21no—
593C2×D52—41no—
594C2×D52C2×D411yescharacteristic
595C2×D52C2×D411yescharacteristic
596C2×D52C2411yescharacteristic
597C2×D52C2411yescharacteristic
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—41no—
605C2×C4×D13—41no—
606C2×C4×D13C2×D411yescharacteristic
607C2×C4×D13C2×D411yescharacteristic
608C2×C4×D13C2411yescharacteristic
609C2×C4×D13C2411yescharacteristic
610C2×C4×D13C2411yescharacteristic
611C2×Dic26—21no—
612C2×Dic26—21no—
613C2×Dic26—21no—
614C2×Dic26C2×D411yescharacteristic
615C2×Dic26C2411yescharacteristic
616C2×Dic26C2411yescharacteristic
617C13×SD16—22no—
618C13×SD16—22no—
619C13×SD16—41no—
620C13×SD16—41no—
621C13×SD16—41no—
622C13×SD16—41no—
623C13×D8—22no—
624C13×D8—41no—
625C13×D8—41no—
626C13×M16—41no—
627C13×M16—41no—
628C2×C8×C13C2411yescharacteristic
629C2×C8×C13C2411yescharacteristic
630C2×C8×C13C2411yescharacteristic
631C2×C8×C13C2411yescharacteristic
632C13×C4⋊C4—21no—
633C13×C4⋊C4—21no—
634C13×C4⋊C4—21no—
635C13×C4⋊C4—21no—
636C13×C4⋊C4C2×D411yescharacteristic
637C13×C4⋊C4C2411yescharacteristic
638C13×C4⋊C4C2411yescharacteristic
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4—21no—
642C13×C22⋊C4—21no—
643C13×C22⋊C4—21no—
644C13×C22⋊C4—21no—
645C13×C22⋊C4C2×D411yescharacteristic
646C13×C22⋊C4C2×D411yescharacteristic
647C42×C13C2411yescharacteristic
648C22⋊Dic13—21no—
649C22⋊Dic13—21no—
650C22⋊Dic13—21no—
651C22⋊Dic13—21no—
652C22⋊Dic13—21no—
653C22⋊Dic13—21no—
654C22⋊Dic13—21no—
655C22⋊Dic13—21no—
656C22⋊Dic13—21no—
657C22⋊Dic13—21no—
658C22⋊Dic13—21no—
659C22⋊Dic13—21no—
660C22⋊Dic13—21no—
661C22⋊Dic13—21no—
662C22⋊Dic13C2×D411yescharacteristic
663C22⋊Dic13C2×D411yescharacteristic
664#6107—41no—
665#6107—41no—
666#6106—22no—
667#6106—22no—
668#6106—41no—
669#6106—41no—
670#6105—22no—
671#6105—41no—
672#6105—41no—
673#6105—41no—
674#6104—22no—
675#6104—41no—
676#6103—21no—
677#6103—21no—
678#6103—21no—
679#6103—21no—
680#6103—21no—
681#6103—21no—
682#6103—21no—
683#6103—21no—
684#6103—21no—
685#6103—21no—
686#6103—21no—
687#6103—21no—
688#6103—21no—
689#6103—21no—
690#6103C2×D411yescharacteristic
691#6103C2×D411yescharacteristic
692#6103C2×D411yescharacteristic
693#6103C2×D411yescharacteristic
694#6103C2×D411yescharacteristic
695#6103C2×D411yescharacteristic
696C4⋊Dic13—21no—
697C4⋊Dic13—21no—
698C4⋊Dic13—21no—
699C4⋊Dic13—21no—
700C4⋊Dic13—21no—
701C4⋊Dic13C2×D411yescharacteristic
702C4⋊Dic13C2411yescharacteristic
703C4⋊Dic13C2411yescharacteristic
704C4⋊Dic13C2411yescharacteristic
705C4⋊Dic13C2411yescharacteristic
706#6101—21no—
707#6101—21no—
708#6101—21no—
709#6101—21no—
710#6101—21no—
711#6101—21no—
712#6101—21no—
713#6101—21no—
714#6101—21no—
715#6101—21no—
716#6101—21no—
717#6101—21no—
718#6101C2×D411yescharacteristic
719#6101C2×D411yescharacteristic
720#6101C2×D411yescharacteristic
721#6101C2×D411yescharacteristic
722C4×Dic13—21no—
723C4×Dic13—21no—
724C4×Dic13—21no—
725C4×Dic13—21no—
726C4×Dic13—21no—
727C4×Dic13—21no—
728C4×Dic13C2411yescharacteristic
729#6099—41no—
730C2×#1055—41no—
731C2×#1055C2411yescharacteristic
732C2×#1055C2411yescharacteristic
733C2×#1055C2411yescharacteristic
734C2×#1055C2411yescharacteristic
735Dic52—41no—
736#6095—22no—
737#6095—41no—
738#6094—41no—
739C8×D13—41no—
740C8×D13—41no—
741C8×D13—41no—
742#3541—131no—
743#3484—131no—
744#3324—131no—
745#3323—131no—
746#3318—131no—
747#3314—131no—
748#3311—131no—
749#3310—131no—
750#3297—131no—
751#3295—131no—
752#3282—131no—
753D4×SD16—131no—
754#3275—131no—
755#3272D1311yescharacteristic, complemented
756#3267—131no—
757#3266—131no—
758#3265—131no—
759#3265—131no—
760#3224—131no—
761#3222—131no—
762#3200—131no—
763#3198—131no—
764#3196—131no—
765#3191—131no—
766#3123—131no—
767#3118—131no—
768#3012—131no—
769#3009—131no—
770#3003—131no—
771C2×#450—131no—
772#2976—131no—
773C23×C13—21no—
774C23×C13—21no—
775C23×C13—21no—
776C23×C13—21no—
777C23×C13—42no—
778C23×C13—42no—
779C23×C13—42no—
780C23×C13—81no—
781C23×C13—81no—
782C23×C13—81no—
783C23×C13C22×D411yescharacteristic
784C23×C13C22×D411yescharacteristic
785C22×D13—21no—
786C22×D13—24no—
787C22×D13—22no—
788C22×D13—21no—
789C22×D13—41no—
790C22×D13—41no—
791C22×D13—42no—
792C22×D13—42no—
793C22×D13—42no—
794C22×D13—42no—
795C22×D13—42no—
796C22×D13—42no—
797C22×D13—42no—
798C22×D13—42no—
799C22×D13—81no—
800C22×D13—81no—
801C22×D13—81no—
802C22×D13—81no—
803C22×D13—81no—
804C22×D13—81no—
805C22×D13—81no—
806C22×D13—81no—
807C22×D13—81no—
808C22×D13—816no—
809C22×D13C22×D411yescharacteristic
810C22×D13C22×D411yescharacteristic
811C22×D13C22×D411yescharacteristic
812Q8×C13—21no—
813Q8×C13—21no—
814Q8×C13—21no—
815Q8×C13—21no—
816D4×C13—21no—
817D4×C13—21no—
818D4×C13—21no—
819D4×C13—21no—
820D4×C13—21no—
821D4×C13—21no—
822D4×C13—21no—
823D4×C13—41no—
824D4×C13—42no—
825D4×C13—42no—
826D4×C13—42no—
827D4×C13—81no—
828D4×C13—81no—
829D4×C13—81no—
830D4×C13—81no—
831D4×C13—81no—
832D4×C13H(5,𝔽2)12yes—
833C2×C4×C13—21no—
834C2×C4×C13—21no—
835C2×C4×C13—21no—
836C2×C4×C13—21no—
837C2×C4×C13—21no—
838C2×C4×C13—21no—
839C2×C4×C13—21no—
840C2×C4×C13—21no—
841C2×C4×C13—81no—
842C2×C4×C13—81no—
843C2×C4×C13—81no—
844C2×C4×C13—81no—
845C2×C4×C13C22×D411yescharacteristic
846C2×C4×C13C22×D411yescharacteristic
847C2×C4×C13C22×D411yescharacteristic
848C2×C4×C13C22×D411yescharacteristic
849C2×C4×C13C2511yescharacteristic
850C22⋊D13—24no—
851C22⋊D13—22no—
852C22⋊D13—41no—
853C22⋊D13—41no—
854C22⋊D13—41no—
855C22⋊D13—42no—
856C22⋊D13—42no—
857C22⋊D13—42no—
858C22⋊D13—42no—
859C22⋊D13—42no—
860C22⋊D13—42no—
861C22⋊D13—42no—
862C22⋊D13—42no—
863C22⋊D13—42no—
864C22⋊D13—81no—
865C22⋊D13—81no—
866C22⋊D13—81no—
867C22⋊D13—81no—
868C22⋊D13—81no—
869C22⋊D13—81no—
870C2×Dic13—21no—
871C2×Dic13—21no—
872C2×Dic13—21no—
873C2×Dic13—21no—
874C2×Dic13—21no—
875C2×Dic13—21no—
876C2×Dic13—41no—
877C2×Dic13—42no—
878C2×Dic13—42no—
879C2×Dic13—81no—
880C2×Dic13—81no—
881C2×Dic13C22×D411yescharacteristic
882C2×Dic13C22×D411yescharacteristic
883C2×Dic13C22×D411yescharacteristic
884C2×Dic13C22×D411yescharacteristic
885C2×Dic13C22×D411yescharacteristic
886D52—22no—
887D52—21no—
888D52—21no—
889D52—21no—
890D52—41no—
891D52—42no—
892D52—81no—
893D52H(5,𝔽2)12yes—
894C4×D13—21no—
895C4×D13—21no—
896C4×D13—21no—
897C4×D13—21no—
898C4×D13—21no—
899C4×D13—21no—
900C4×D13—41no—
901C4×D13—41no—
902C4×D13—42no—
903C4×D13—81no—
904C4×D13—81no—
905C4×D13—81no—
906C4×D13—81no—
907C4×D13—81no—
908Dic26—21no—
909Dic26—21no—
910Dic26—21no—
911Dic26—21no—
912Dic26—41no—
913Dic26—81no—
914Dic26—81no—
915Dic26—81no—
916C8×C13—21no—
917C8×C13—21no—
918C8×C13—21no—
919C8×C13—21no—
920#1055—21no—
921#1055—21no—
922#1055—21no—
923#1055—21no—
924C2×H(5,𝔽2)—131no—
925C23×D4—131no—
926C2×#137—131no—
927C2×AGL(1,ℤ/8)—131no—
928C2×AGL(1,ℤ/8)C2×D1311yescharacteristic, complemented
929C2×AGL(1,ℤ/8)C2×D1311yescharacteristic, complemented
930C2×#135—131no—
931C22×SD16—131no—
932C22×SD16—131no—
933C22×SD16—131no—
934#563—261no—
935#562—261no—
936#556—131no—
937#554—131no—
938#554—261no—
939#553—131no—
940#553—261no—
941#552—131no—
942D4×Q8—131no—
943#548—131no—
944#548—131no—
945#547C2×D1311yescharacteristic, complemented
946#546—131no—
947#546—131no—
948#546—131no—
949#546—131no—
950#546—261no—
951#546—261no—
952D42—131no—
953D42—131no—
954D42—131no—
955D42—261no—
956D42—261no—
957D42C2×D1311yescharacteristic
958#542—131no—
959#542—261no—
960#541—131no—
961#539—261no—
962#538—261no—
963#538—261no—
964#537—131no—
965#536—131no—
966#535—131no—
967#535—131no—
968#534—261no—
969#534—261no—
970#525—131no—
971#525—131no—
972#525—131no—
973C2×C22⋊Q8—131no—
974C2×#120—261no—
975C2×#120—261no—
976#518—131no—
977#497—131no—
978#496—131no—
979#495—131no—
980#492C2×D1311yescharacteristic, complemented
981#490—131no—
982#489—131no—
983#488—131no—
984#486—131no—
985#485—131no—
986#485—131no—
987#485—131no—
988#485—131no—
989#484—131no—
990#482—131no—
991#482—131no—
992#482—131no—
993#482—131no—
994#481—131no—
995#481—131no—
996#480—131no—
997#478—131no—
998#478—131no—
999#476—131no—
1000#474—131no—
1001#470—131no—
1002#470—131no—
1003#469—131no—
1004#468—131no—
1005#468—131no—
1006#468—131no—
1007#468C2×D1311yescharacteristic, complemented
1008#468C2×D1311yescharacteristic, complemented
1009#467—131no—
1010#466—131no—
1011#466—131no—
1012#465—131no—
1013#465—131no—
1014#465—131no—
1015#465—131no—
1016#465—131no—
1017#464—131no—
1018#464—131no—
1019#464—131no—
1020#463—131no—
1021#463—131no—
1022#463—131no—
1023#461—131no—
1024#461C2×D1311yescharacteristic, complemented
1025#460—131no—
1026#460—131no—
1027#460—131no—
1028#459C2×D1311yescharacteristic, complemented
1029#452—131no—
1030#452—131no—
1031#452—131no—
1032#452—131no—
1033#452—131no—
1034#452—131no—
1035#452—131no—
1036#451—131no—
1037#450—131no—
1038#450—131no—
1039#450—131no—
1040#450—131no—
1041#450—131no—
1042#450—131no—
1043#450—131no—
1044#450—131no—
1045#450—131no—
1046#450—131no—
1047#450—131no—
1048#450—131no—
1049#450—131no—
1050#450C2×D1311yescharacteristic, complemented
1051#450C2×D1311yescharacteristic, complemented
1052#449—131no—
1053#449—131no—
1054#449—131no—
1055#449C2×D1311yescharacteristic, complemented
1056#449C2×D1311yescharacteristic, complemented
1057#448—131no—
1058#448—131no—
1059#448—131no—
1060#447—131no—
1061#447—131no—
1062#447—131no—
1063#447—131no—
1064#447—131no—
1065#442—131no—
1066#440—131no—
1067#440—131no—
1068#440—131no—
1069C4×SD16—131no—
1070C4×SD16—131no—
1071C4×SD16—131no—
1072C4×D8C2×D1311yescharacteristic, complemented
1073#436—131no—
1074#436C2×D1311yescharacteristic, complemented
1075#435—131no—
1076#435—131no—
1077#435—131no—
1078#435—131no—
1079C8×D4—131no—
1080C8×D4—131no—
1081#433—131no—
1082#433—131no—
1083#418—131no—
1084#418—131no—
1085#418—131no—
1086#417—131no—
1087#416—131no—
1088C2×#102—131no—
1089C2×#102—131no—
1090C2×#102—131no—
1091#408—131no—
1092#408—131no—
1093#407—131no—
1094C2×C22⋊C8—131no—
1095C22×C13—21no—
1096C22×C13—21no—
1097C22×C13—22no—
1098C22×C13—21no—
1099C22×C13—21no—
1100C22×C13—21no—
1101C22×C13—21no—
1102C22×C13—41no—
1103C22×C13—41no—
1104C22×C13—41no—
1105C22×C13—41no—
1106C22×C13—41no—
1107C22×C13—41no—
1108C22×C13—41no—
1109C22×C13—41no—
1110C22×C13—41no—
1111C22×C13—41no—
1112C22×C13—41no—
1113C22×C13—84no—
1114C22×C13—162no—
1115C22×C13C23×D411yescharacteristic
1116C2×D13—21no—
1117C2×D13—21no—
1118C2×D13—21no—
1119C2×D13—21no—
1120C2×D13—21no—
1121C2×D13—21no—
1122C2×D13—22no—
1123C2×D13—21no—
1124C2×D13—21no—
1125C2×D13—44no—
1126C2×D13—41no—
1127C2×D13—41no—
1128C2×D13—41no—
1129C2×D13—41no—
1130C2×D13—41no—
1131C2×D13—84no—
1132C2×D13—84no—
1133C2×D13—84no—
1134C2×D13—84no—
1135C2×D13—84no—
1136C2×D13—162no—
1137C2×D13#57712yes—
1138C4×C13—21no—
1139C4×C13—21no—
1140C4×C13—21no—
1141C4×C13—21no—
1142C4×C13—41no—
1143C4×C13—41no—
1144C4×C13—41no—
1145C4×C13—41no—
1146C4×C13C2×H(5,𝔽2)11yescharacteristic
1147C4×C13C2×H(5,𝔽2)11yescharacteristic
1148Dic13—21no—
1149Dic13—21no—
1150Dic13—21no—
1151Dic13—21no—
1152Dic13—21no—
1153Dic13—41no—
1154Dic13—41no—
1155Dic13—41no—
1156Dic13—41no—
1157Dic13—41no—
1158Dic13—41no—
1159C25—261no—
1160H(5,𝔽2)—522no—
1161H(5,𝔽2)—522no—
1162C2×#41—131no—
1163C2×#41—131no—
1164C2×#41—131no—
1165C2×#41—131no—
1166C2×#41—261no—
1167C2×#41C22×D1311yescharacteristic
1168C2×#41C22×D1311yescharacteristic, complemented
1169C22×Q8—131no—
1170C22×Q8—131no—
1171C22×D4—21no—
1172C22×D4—131no—
1173C22×D4—131no—
1174C22×D4—131no—
1175C22×D4—131no—
1176C22×D4—131no—
1177C22×D4—131no—
1178C22×D4—261no—
1179C22×D4—261no—
1180C22×D4—261no—
1181C22×D4—261no—
1182C22×D4—261no—
1183C22×D4—261no—
1184C22×D4—261no—
1185C22×D4—261no—
1186C22×D4—261no—
1187C22×D4—522no—
1188C22×D4—522no—
1189C22×D4C22×D1311yescharacteristic
1190C22×D4C22×D1311yescharacteristic
1191C23×C4—131no—
1192#137—522no—
1193AGL(1,ℤ/8)—42no—
1194AGL(1,ℤ/8)—42no—
1195AGL(1,ℤ/8)—522no—
1196#135—522no—
1197C2×Q16—131no—
1198C2×Q16—131no—
1199C2×Q16—131no—
1200C2×SD16—131no—
1201C2×SD16—131no—
1202C2×SD16—131no—
1203C2×SD16—131no—
1204C2×SD16—131no—
1205C2×SD16—131no—
1206C2×SD16—131no—
1207C2×SD16—131no—
1208C2×SD16—131no—
1209C2×SD16—131no—
1210C2×SD16—522no—
1211C2×SD16—522no—
1212C2×SD16—522no—
1213C2×SD16C22×D1311yescharacteristic
1214C2×SD16C22×D1311yescharacteristic
1215C2×SD16C22×D1311yescharacteristic
1216C2×SD16C22×D1311yescharacteristic
1217C2×SD16C22×D1311yescharacteristic, complemented
1218C2×SD16C22×D1311yescharacteristic, complemented
1219C2×D8—131no—
1220C2×D8—131no—
1221C2×D8C22×D1311yescharacteristic
1222C2×D8C22×D1311yescharacteristic
1223C2×D8C22×D1311yescharacteristic, complemented
1224C2×M16—131no—
1225C2×M16—131no—
1226C2×M16C22×D1311yescharacteristic
1227C2×M16C22×D1311yescharacteristic, complemented
1228C22×C8—131no—
1229C22×C8—131no—
1230C22×C8—131no—
1231C22×C8—131no—
1232C4⋊Q8—131no—
1233C4⋊Q8—261no—
1234C4⋊Q8—261no—
1235C4⋊Q8C22×D1311yescharacteristic, complemented
1236#127—131no—
1237#127—261no—
1238#127C22×D1311yescharacteristic
1239#126—261no—
1240#126—261no—
1241#126—261no—
1242#126—261no—
1243#126—261no—
1244#126—261no—
1245#126—261no—
1246#125—131no—
1247#125—261no—
1248#125—261no—
1249#125—261no—
1250#125—261no—
1251#124—131no—
1252#124—131no—
1253#124—131no—
1254#124—261no—
1255#124—261no—
1256#124—261no—
1257#124—261no—
1258#124—261no—
1259#124—261no—
1260#123—21no—
1261#123—21no—
1262#123—131no—
1263#123—131no—
1264#123—261no—
1265#123—261no—
1266#123—261no—
1267#123—261no—
1268#123—261no—
1269#123—261no—
1270#123—261no—
1271#123—261no—
1272#123—261no—
1273#123—261no—
1274#123—261no—
1275C22⋊Q8—131no—
1276C22⋊Q8—131no—
1277C22⋊Q8—131no—
1278C22⋊Q8—131no—
1279C22⋊Q8—131no—
1280C22⋊Q8—131no—
1281C22⋊Q8—131no—
1282C22⋊Q8—131no—
1283C22⋊Q8—131no—
1284C22⋊Q8—131no—
1285C22⋊Q8—131no—
1286C22⋊Q8—261no—
1287C22⋊Q8—261no—
1288C22⋊Q8—261no—
1289C22⋊Q8—261no—
1290C22⋊Q8—261no—
1291C22⋊Q8—261no—
1292C22⋊Q8—261no—
1293C22⋊Q8—261no—
1294C22⋊Q8—261no—
1295C22⋊Q8—261no—
1296C22⋊Q8C22×D1311yescharacteristic
1297C22⋊Q8C22×D1311yescharacteristic, complemented
1298#121—21no—
1299#121—21no—
1300#121—131no—
1301#121—131no—
1302#121—131no—
1303#121—131no—
1304#121—131no—
1305#121—131no—
1306#121—131no—
1307#121—131no—
1308#121—131no—
1309#121—261no—
1310#121—261no—
1311#121—261no—
1312#121—261no—
1313#121—261no—
1314#121—261no—
1315#121—261no—
1316#121—261no—
1317#121—261no—
1318#121—261no—
1319#121—261no—
1320#121—261no—
1321#121—261no—
1322#121—261no—
1323#121—261no—
1324#121C22×D1311yescharacteristic
1325#121C22×D1311yescharacteristic
1326#120—21no—
1327#120—21no—
1328#120—131no—
1329#120—131no—
1330#120—261no—
1331#120—261no—
1332#120—261no—
1333#120—261no—
1334#120—261no—
1335#120—261no—
1336#120—261no—
1337#120—261no—
1338#120—261no—
1339#120—261no—
1340#120—261no—
1341#120—261no—
1342#120—261no—
1343#120—261no—
1344#120—261no—
1345#120—261no—
1346C4×Q8—131no—
1347C4×Q8—131no—
1348C4×Q8—131no—
1349C4×Q8—261no—
1350C4×D4—131no—
1351C4×D4—131no—
1352C4×D4—131no—
1353C4×D4—131no—
1354C4×D4—131no—
1355C4×D4—131no—
1356C4×D4—261no—
1357C4×D4—261no—
1358C4×D4—261no—
1359C4×D4—261no—
1360C4×D4—261no—
1361C4×D4—261no—
1362C4×D4—261no—
1363C4×D4—261no—
1364C4×D4—261no—
1365C4×D4—261no—
1366C4×D4—261no—
1367C4×D4C22×D1311yescharacteristic
1368C4×D4C22×D1311yescharacteristic
1369C4×D4C22×D1311yescharacteristic, complemented
1370#117—131no—
1371#117—131no—
1372#117—131no—
1373#117—131no—
1374#117—261no—
1375C2×C4⋊C4—21no—
1376C2×C4⋊C4—131no—
1377C2×C4⋊C4—131no—
1378C2×C4⋊C4—261no—
1379C2×C22⋊C4—261no—
1380C2×C22⋊C4—261no—
1381C2×C22⋊C4—261no—
1382C2×C22⋊C4—261no—
1383C2×C22⋊C4—261no—
1384C2×C22⋊C4—261no—
1385C2×C22⋊C4—261no—
1386#107—131no—
1387#107—131no—
1388#107—131no—
1389#107C22×D1311yescharacteristic, complemented
1390#106—131no—
1391#106—131no—
1392#106—131no—
1393#106—131no—
1394C4⋊C8—131no—
1395C4⋊C8—131no—
1396C4⋊C8—131no—
1397C4⋊C8C22×D1311yescharacteristic, complemented
1398#103—131no—
1399#103—131no—
1400#103—131no—
1401#103—131no—
1402#103—131no—
1403#103—131no—
1404#103—131no—
1405#103—131no—
1406#103C22×D1311yescharacteristic, complemented
1407#103C22×D1311yescharacteristic, complemented
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102—131no—
1415#102—131no—
1416#102—131no—
1417#102—131no—
1418#102—131no—
1419#102—131no—
1420#102—131no—
1421#102—131no—
1422#102—131no—
1423#102—131no—
1424#102—131no—
1425#102—131no—
1426#102C22×D1311yescharacteristic
1427#102C22×D1311yescharacteristic
1428#102C22×D1311yescharacteristic, complemented
1429#102C22×D1311yescharacteristic, complemented
1430C22⋊C8—131no—
1431C22⋊C8—131no—
1432C22⋊C8—131no—
1433C22⋊C8—131no—
1434C22⋊C8—131no—
1435C22⋊C8—131no—
1436C22⋊C8—131no—
1437C22⋊C8—131no—
1438C22⋊C8—131no—
1439C22⋊C8—131no—
1440C22⋊C8C22×D1311yescharacteristic
1441C22⋊C8C22×D1311yescharacteristic, complemented
1442#97—131no—
1443#97—131no—
1444C4×C8—131no—
1445C4×C8C22×D1311yescharacteristic, complemented
1446C2×C13—41no—
1447C2×C13—42no—
1448C2×C13—41no—
1449C2×C13—81no—
1450C2×C13—81no—
1451C2×C13—81no—
1452C2×C13#348411yescharacteristic
1453C2×C13C2×#57711yescharacteristic
1454C2×C13#358511yescharacteristic
1455D13—22no—
1456D13—41no—
1457D13—41no—
1458D13—42no—
1459D13—81no—
1460C24—21no—
1461C24—21no—
1462C24—131no—
1463C24—261no—
1464C24—261no—
1465C24—261no—
1466C24—261no—
1467C24—261no—
1468C24—261no—
1469C24—524no—
1470C24—1042no—
1471C24—1042no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—262no—
1477#41—262no—
1478#41—521no—
1479#41—521no—
1480#41—521no—
1481#41—521no—
1482#41—521no—
1483#41—521no—
1484#41—524no—
1485C2×Q8—131no—
1486C2×Q8—131no—
1487C2×Q8—131no—
1488C2×Q8—261no—
1489C2×Q8—261no—
1490C2×Q8—261no—
1491C2×Q8—521no—
1492C2×Q8—521no—
1493C2×Q8—521no—
1494C2×Q8—521no—
1495C2×Q8C23×D1311yescharacteristic
1496C2×Q8C23×D1311yescharacteristic
1497C2×D4—22no—
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—82no—
1510C2×D4—131no—
1511C2×D4—131no—
1512C2×D4—131no—
1513C2×D4—131no—
1514C2×D4—131no—
1515C2×D4—131no—
1516C2×D4—131no—
1517C2×D4—131no—
1518C2×D4—262no—
1519C2×D4—261no—
1520C2×D4—261no—
1521C2×D4—261no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—261no—
1525C2×D4—261no—
1526C2×D4—261no—
1527C2×D4—262no—
1528C2×D4—262no—
1529C2×D4—262no—
1530C2×D4—262no—
1531C2×D4—262no—
1532C2×D4—261no—
1533C2×D4—261no—
1534C2×D4—261no—
1535C2×D4—261no—
1536C2×D4—261no—
1537C2×D4—261no—
1538C2×D4—261no—
1539C2×D4—261no—
1540C2×D4—261no—
1541C2×D4—261no—
1542C2×D4—521no—
1543C2×D4—521no—
1544C2×D4—521no—
1545C2×D4—521no—
1546C2×D4—521no—
1547C2×D4—521no—
1548C2×D4—524no—
1549C2×D4—524no—
1550C2×D4—524no—
1551C2×D4—524no—
1552C2×D4—524no—
1553C2×D4—524no—
1554C2×D4—1042no—
1555C2×D4—1042no—
1556C2×D4—1042no—
1557C2×D4D4×D1311yescharacteristic
1558C2×D4C23×D1311yescharacteristic
1559C2×D4C23×D1311yescharacteristic
1560C2×D4C23×D1311yescharacteristic
1561C2×D4C23×D1311yescharacteristic
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—131no—
1567C22×C4—131no—
1568C22×C4—131no—
1569C22×C4—131no—
1570C22×C4—131no—
1571C22×C4—131no—
1572C22×C4—261no—
1573C22×C4—261no—
1574C22×C4—261no—
1575C22×C4—261no—
1576C22×C4—261no—
1577C22×C4—261no—
1578C22×C4—261no—
1579C22×C4—261no—
1580C22×C4—261no—
1581C22×C4—261no—
1582C22×C4—521no—
1583C22×C4—521no—
1584C22×C4C23×D1311yescharacteristic
1585C22×C4C23×D1311yescharacteristic
1586Q16—521no—
1587Q16—521no—
1588Q16—521no—
1589SD16—22no—
1590SD16—22no—
1591SD16—41no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—262no—
1596SD16—262no—
1597SD16—262no—
1598SD16—262no—
1599SD16—521no—
1600SD16—521no—
1601SD16—521no—
1602SD16—521no—
1603SD16—521no—
1604SD16—521no—
1605D8—22no—
1606D8—41no—
1607D8—41no—
1608D8—262no—
1609D8—521no—
1610M16—41no—
1611M16—41no—
1612M16—521no—
1613M16—521no—
1614C2×C8—131no—
1615C2×C8—131no—
1616C2×C8—131no—
1617C2×C8—131no—
1618C2×C8—521no—
1619C2×C8—521no—
1620C2×C8—521no—
1621C2×C8—521no—
1622C2×C8C23×D1311yescharacteristic
1623C2×C8C23×D1311yescharacteristic
1624C2×C8C23×D1311yescharacteristic
1625C2×C8C23×D1311yescharacteristic
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—131no—
1631C4⋊C4—131no—
1632C4⋊C4—131no—
1633C4⋊C4—131no—
1634C4⋊C4—131no—
1635C4⋊C4—131no—
1636C4⋊C4—131no—
1637C4⋊C4—131no—
1638C4⋊C4—131no—
1639C4⋊C4—261no—
1640C4⋊C4—261no—
1641C4⋊C4—261no—
1642C4⋊C4—261no—
1643C4⋊C4—261no—
1644C4⋊C4—261no—
1645C4⋊C4—261no—
1646C4⋊C4—261no—
1647C4⋊C4—261no—
1648C4⋊C4—261no—
1649C4⋊C4—261no—
1650C4⋊C4—261no—
1651C4⋊C4—261no—
1652C4⋊C4—261no—
1653C4⋊C4—261no—
1654C4⋊C4—261no—
1655C4⋊C4—261no—
1656C4⋊C4D4×D1311yescharacteristic
1657C4⋊C4C23×D1311yescharacteristic
1658C4⋊C4C23×D1311yescharacteristic
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—131no—
1666C22⋊C4—131no—
1667C22⋊C4—131no—
1668C22⋊C4—131no—
1669C22⋊C4—131no—
1670C22⋊C4—131no—
1671C22⋊C4—131no—
1672C22⋊C4—131no—
1673C22⋊C4—261no—
1674C22⋊C4—261no—
1675C22⋊C4—261no—
1676C22⋊C4—261no—
1677C22⋊C4—261no—
1678C22⋊C4—261no—
1679C22⋊C4—261no—
1680C22⋊C4—261no—
1681C22⋊C4—261no—
1682C22⋊C4—261no—
1683C22⋊C4—261no—
1684C22⋊C4—261no—
1685C22⋊C4—261no—
1686C22⋊C4—261no—
1687C22⋊C4—261no—
1688C22⋊C4—261no—
1689C22⋊C4—261no—
1690C22⋊C4—261no—
1691C22⋊C4—261no—
1692C22⋊C4—261no—
1693C22⋊C4—261no—
1694C22⋊C4—261no—
1695C22⋊C4—261no—
1696C22⋊C4—261no—
1697C22⋊C4—261no—
1698C22⋊C4—261no—
1699C22⋊C4—261no—
1700C22⋊C4—261no—
1701C22⋊C4D4×D1311yescharacteristic
1702C22⋊C4D4×D1311yescharacteristic
1703C42—131no—
1704C42—261no—
1705C42—261no—
1706C42—261no—
1707C42—261no—
1708C42—261no—
1709C42—261no—
1710C42C23×D1311yescharacteristic
1711C13#6161011yescharacteristic, complemented, Sylow
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—42no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—131no—
1723C23—131no—
1724C23—131no—
1725C23—262no—
1726C23—264no—
1727C23—261no—
1728C23—261no—
1729C23—521no—
1730C23—521no—
1731C23—522no—
1732C23—522no—
1733C23—522no—
1734C23—522no—
1735C23—522no—
1736C23—522no—
1737C23—522no—
1738C23—522no—
1739C23—1041no—
1740C23—1041no—
1741C23—1041no—
1742C23—1041no—
1743C23—1041no—
1744C23—1041no—
1745C23—1041no—
1746C23—1041no—
1747C23—1041no—
1748C23—10416no—
1749C23C2×D4×D1311yescharacteristic
1750C23C2×D4×D1311yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—261no—
1756Q8—261no—
1757Q8—261no—
1758Q8—261no—
1759Q8—521no—
1760Q8—1041no—
1761Q8—1041no—
1762Q8—1041no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—41no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—132no—
1780D4—262no—
1781D4—262no—
1782D4—264no—
1783D4—261no—
1784D4—261no—
1785D4—261no—
1786D4—521no—
1787D4—522no—
1788D4—521no—
1789D4—521no—
1790D4—521no—
1791D4—522no—
1792D4—522no—
1793D4—522no—
1794D4—522no—
1795D4—522no—
1796D4—522no—
1797D4—522no—
1798D4—522no—
1799D4—522no—
1800D4—1041no—
1801D4—1041no—
1802D4—1041no—
1803D4—1041no—
1804D4—1041no—
1805D4—1041no—
1806D4—1041no—
1807D4#8825112yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—81no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—131no—
1821C2×C4—131no—
1822C2×C4—131no—
1823C2×C4—131no—
1824C2×C4—131no—
1825C2×C4—261no—
1826C2×C4—261no—
1827C2×C4—261no—
1828C2×C4—261no—
1829C2×C4—261no—
1830C2×C4—261no—
1831C2×C4—261no—
1832C2×C4—261no—
1833C2×C4—261no—
1834C2×C4—261no—
1835C2×C4—261no—
1836C2×C4—261no—
1837C2×C4—521no—
1838C2×C4—521no—
1839C2×C4—522no—
1840C2×C4—521no—
1841C2×C4—522no—
1842C2×C4—522no—
1843C2×C4—1041no—
1844C2×C4—1041no—
1845C2×C4—1041no—
1846C2×C4—1041no—
1847C2×C4—1041no—
1848C2×C4—1041no—
1849C2×C4—1041no—
1850C2×C4C2×D4×D1311yescharacteristic
1851C2×C4C2×D4×D1311yescharacteristic
1852C2×C4C2×D4×D1311yescharacteristic
1853C2×C4C2×D4×D1311yescharacteristic
1854C2×C4C24×D1311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—261no—
1860C8—261no—
1861C8—261no—
1862C8—261no—
1863C22—21no—
1864C22—21no—
1865C22—22no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—84no—
1882C22—132no—
1883C22—162no—
1884C22—261no—
1885C22—261no—
1886C22—261no—
1887C22—261no—
1888C22—262no—
1889C22—261no—
1890C22—261no—
1891C22—261no—
1892C22—261no—
1893C22—524no—
1894C22—521no—
1895C22—521no—
1896C22—521no—
1897C22—521no—
1898C22—521no—
1899C22—1044no—
1900C22—1044no—
1901C22—1044no—
1902C22—1044no—
1903C22—1044no—
1904C22—2082no—
1905C22C22×D4×D1311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—261no—
1915C4—261no—
1916C4—261no—
1917C4—261no—
1918C4—261no—
1919C4—521no—
1920C4—521no—
1921C4—521no—
1922C4—521no—
1923C4—521no—
1924C4—521no—
1925C4C2×#8825111yescharacteristic
1926C4D13×H(5,𝔽2)11yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—81no—
1933C2—262no—
1934C2—521no—
1935C2—521no—
1936C2—522no—
1937C2—1041no—
1938C2#1312846411yescharacteristic
1939C2D13×#57711yescharacteristic
1940C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3272C2
socleC22×C13C23×D4
hypercenter#3272D13
hypocenterC13#61610
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3272

Complements

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

NH ≅ G/Ntype
1. #13129119C2semidirect
2. #13128464C2semidirect
3. #13127062C2semidirect
4. #13127054C2semidirect
5. #13126984C2semidirect
6. #13126912C2semidirect
7. #13126865C2semidirect
8. #13126857C2semidirect
9. #13126691C2semidirect
10. #13126653C2semidirect
11. #13126546C2semidirect
12. #13126531C2semidirect
13. #13126467C2semidirect
14. #13126362C2semidirect
15. #13126352C2semidirect
16. #13126334C2semidirect
17. #13126325C2semidirect
18. #13125927C2semidirect
19. #13125901C2semidirect
20. #13125704C2semidirect
21. #13125687C2semidirect
22. #13125661C2semidirect
23. #13125626C2semidirect
24. #13125086C2semidirect
25. #13125016C2semidirect
26. #13124139C2semidirect
27. #13124108C2semidirect
28. #13124061C2semidirect
29. D13×#450C2semidirect
30. #13123880C2semidirect
31. C13×#3272C2semidirect
34. C2×C13×AGL(1,ℤ/8)C22semidirect
35. C2×C13×AGL(1,ℤ/8)C22semidirect
36. C13×#547C22semidirect
38. #11719538C22semidirect
39. #11719536C22semidirect
40. #11719536C22semidirect
41. #11719533C22semidirect
42. C2×#88204C22semidirect
43. C2×#88203C22semidirect
48. C2×#88169C22semidirect
49. C2×SD16×D13C22semidirect
50. C2×SD16×D13C22semidirect
51. C2×SD16×D13C22semidirect
52. #11719436C22semidirect
53. #11719432C22semidirect
60. #11719346C22semidirect
61. #11719340C22semidirect
62. #11719333C22semidirect
63. D13×C22⋊Q8C22semidirect
76. #11719266C22semidirect
77. #11719263C22semidirect
82. #11719246C22semidirect
85. C13×#492C22semidirect
86. C13×#468C22semidirect
87. C13×#468C22semidirect
88. C13×#461C22semidirect
89. C13×#459C22semidirect
90. C13×#450C22semidirect
91. C13×#450C22semidirect
92. C13×#449C22semidirect
93. C13×#449C22semidirect
94. C4×C13×D8C22semidirect
95. C13×#436C22semidirect
96. #11718900C22semidirect
97. #11718899C22semidirect
98. #11718879C22semidirect
99. #11718879C22semidirect
100. #11718876C22semidirect
101. C2×#88072C22semidirect
102. #11718834C22semidirect
103. #11718834C22semidirect
104. #11718834C22semidirect
105. #11718832C22semidirect
106. #11718832C22semidirect
107. #11718831C22semidirect
108. #11718831C22semidirect
111. #11718830C22semidirect
112. #11718830C22semidirect
113. #11718830C22semidirect
114. #11718830C22semidirect
115. #11718830C22semidirect
116. #11718827C22semidirect
117. #11718827C22semidirect
118. #11718825C22semidirect
119. #11718824C22semidirect
120. #11718824C22semidirect
121. SD16×Dic13C22semidirect
122. #11718820C22semidirect
123. #11718819C22semidirect
124. #11718819C22semidirect
125. #11718818C22semidirect
127. #11718817C22semidirect
128. #11718817C22semidirect
129. #11718817C22semidirect
130. #11718817C22semidirect
131. #11718816C22semidirect
132. #11718815C22semidirect
133. #11718814C22semidirect
134. #11718798C22semidirect
135. #11718795C22semidirect
136. #11718794C22semidirect
137. #11718792C22semidirect
138. #11718790C22semidirect
139. #11718789C22semidirect
140. #11718788C22semidirect
141. #11718787C22semidirect
142. #11718747C22semidirect
143. #11718744C22semidirect
144. #11718736C22semidirect
145. #11718732C22semidirect
146. #11718713C22semidirect
147. #11718709C22semidirect
148. #11718708C22semidirect
149. #11718707C22semidirect
150. #11718703C22semidirect
151. #11718702C22semidirect
152. #11718696C22semidirect
153. #11718694C22semidirect
154. #11718679C22semidirect
155. #11718677C22semidirect
156. #11718675C22semidirect
157. #11718672C22semidirect
158. #11718670C22semidirect
159. #11718551C22semidirect
160. #11718549C22semidirect
161. #11718546C22semidirect
162. #11718545C22semidirect
163. #11718508C22semidirect
164. #11718506C22semidirect
165. #11718501C22semidirect
166. #11718497C22semidirect
167. #11718478C22semidirect
168. #11718476C22semidirect
169. #11718475C22semidirect
170. #11718474C22semidirect
171. #11718473C22semidirect
172. #11718469C22semidirect
173. #11718467C22semidirect
174. #11718449C22semidirect
175. #11718448C22semidirect
176. #11718445C22semidirect
177. #11718444C22semidirect
178. #11718440C22semidirect
179. #11718439C22semidirect
180. #11718438C22semidirect
182. #11718437C22semidirect
183. #11718436C22semidirect
184. #11718433C22semidirect
185. #11718431C22semidirect
186. D13×#102C22semidirect
187. D13×#102C22semidirect
188. #11718426C22semidirect
189. #11718422C22semidirect
190. #11718421C22semidirect
191. #11718396C22semidirect
192. #11718394C22semidirect
193. #11718392C22semidirect
194. #11718389C22semidirect
195. #11718388C22semidirect
196. #11718386C22semidirect
197. D13×C22⋊C8C22semidirect
198. #11718384C22semidirect
199. #11718358C22semidirect
200. C4×#6095C22semidirect
201. #11718351C22semidirect
202. C8×D52C22semidirect
205. C2×C13×#41C23semidirect
214. C2×Q8×D13C23semidirect
242. C2×C13×SD16C23semidirect
243. C2×C13×SD16C23semidirect
246. C2×C13×D8C23semidirect
248. C2×C13×M16C23semidirect
249. C13×C4⋊Q8C23semidirect
254. C13×C22⋊Q8C23semidirect
263. C4×D4×C13C23semidirect
273. #88200C23semidirect
274. Q8×Dic13C23semidirect
275. Q8×Dic13C23semidirect
276. C2×#6107C23semidirect
277. C2×#6107C23semidirect
299. #88192C23semidirect
315. #88190C23semidirect
323. C2×#6105C23semidirect
324. C2×#6105C23semidirect
343. C2×C4⋊Dic13C23semidirect
350. #88178C23semidirect
352. C22×#1055C23semidirect
357. C2×Dic52C23semidirect
360. C2×#6094C23semidirect
363. C2×C8×D13C23semidirect
381. #88146C23semidirect
390. #88142C23semidirect
428. #88124C23semidirect
429. C4×Dic26C23semidirect
430. C13×#107C23semidirect
431. C13×C4⋊C8C23semidirect
432. C13×#103C23semidirect
433. C13×#103C23semidirect
436. C13×#102C23semidirect
437. C13×#102C23semidirect
439. C13×C22⋊C8C23semidirect
440. C4×C8×C13C23semidirect
441. #88075C23semidirect
442. #88075C23semidirect
449. #88072C23semidirect
450. #88072C23semidirect
451. #88072C23semidirect
452. #88072C23semidirect
454. C22⋊#1055C23semidirect
467. #88060C23semidirect
468. #88060C23semidirect
469. #88058C23semidirect
470. #88057C23semidirect
471. #88057C23semidirect
472. #88056C23semidirect
473. #88056C23semidirect
474. #88056C23semidirect
475. #88056C23semidirect
476. #88055C23semidirect
477. #88054C23semidirect
478. #88054C23semidirect
479. C8×Dic13C23semidirect
480. #88050C23semidirect
481. #88050C23semidirect
484. #88048C23semidirect
485. #88048C23semidirect
486. #88047C23semidirect
487. #88047C23semidirect
488. C4⋊#1055C23semidirect
489. #88043C23semidirect
755. #3272D13semidirect
928. C2×AGL(1,ℤ/8)C2×D13semidirect
929. C2×AGL(1,ℤ/8)C2×D13semidirect
945. #547C2×D13semidirect
980. #492C2×D13semidirect
1007. #468C2×D13semidirect
1008. #468C2×D13semidirect
1024. #461C2×D13semidirect
1028. #459C2×D13semidirect
1050. #450C2×D13semidirect
1051. #450C2×D13semidirect
1055. #449C2×D13semidirect
1056. #449C2×D13semidirect
1072. C4×D8C2×D13semidirect
1074. #436C2×D13semidirect
1168. C2×#41C22×D13semidirect
1217. C2×SD16C22×D13semidirect
1218. C2×SD16C22×D13semidirect
1223. C2×D8C22×D13semidirect
1227. C2×M16C22×D13semidirect
1235. C4⋊Q8C22×D13semidirect
1297. C22⋊Q8C22×D13semidirect
1369. C4×D4C22×D13semidirect
1389. #107C22×D13semidirect
1397. C4⋊C8C22×D13semidirect
1406. #103C22×D13semidirect
1407. #103C22×D13semidirect
1428. #102C22×D13semidirect
1429. #102C22×D13semidirect
1441. C22⋊C8C22×D13semidirect
1445. C4×C8C22×D13semidirect
1711. C13#61610semidirect

Maximal subgroups

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

subgroupindex
#131291192
#131284642
#131270622
#131270542
#131269842
#131269122
#131268652
#131268572
#131266912
#131266532
#131265462
#131265312
#131264672
#131263622
#131263522
#131263342
#131263252
#131259272
#131259012
#131257042
#131256872
#131256612
#131256262
#131250862
#131250162
#131241392
#131241082
#131240612
D13×#4502
#131238802
C13×#32722
#6161013