Finite Group Databasebeta

← #16744838

Subgroups — #16744838

Order 3328.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128440C211yesmaximal, characteristic, complemented
2#13128322C211yesmaximal, characteristic, complemented
3#13127881C211yesmaximal, characteristic, complemented
4#13127730C211yesmaximal, characteristic, complemented
5#13127631C211yesmaximal, characteristic, complemented
6#13127538C211yesmaximal, characteristic, complemented
7#13127313C211yesmaximal, characteristic, complemented
8#13127304C211yesmaximal, characteristic, complemented
9#13127191C211yesmaximal, characteristic, complemented
10#13126984C211yesmaximal, characteristic, complemented
11#13126975C211yesmaximal, characteristic, complemented
12#13126801C211yesmaximal, characteristic, complemented
13#13126794C211yesmaximal, characteristic, complemented
14#13126658C211yesmaximal, characteristic, complemented
15#13126642C211yesmaximal, characteristic, complemented
16#13126506C211yesmaximal, characteristic, complemented
17#13126311C211yesmaximal, characteristic, complemented
18#13126309C211yesmaximal, characteristic, complemented
19#13125571C211yesmaximal, characteristic, complemented
20#13125532C211yesmaximal, characteristic, complemented
21#13125528C211yesmaximal, characteristic, complemented
22#13124983C211yesmaximal, characteristic, complemented
23#13124976C211yesmaximal, characteristic, complemented
24#13124972C211yesmaximal, characteristic, complemented
25#13124925C211yesmaximal, characteristic, complemented
26#13124925C211yesmaximal, characteristic, complemented
27#13123845C211yesmaximal, characteristic, complemented
28#13123647C211yesmaximal, characteristic, complemented
29C2×#11718675C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C13×#3109C211yesmaximal, characteristic, complemented
32C2×#41×D13—21no—
33C13×#532C2211yescharacteristic, complemented
34C2×C4×D4×C13C2211yescharacteristic, complemented
35#11719533—21no—
36#11719511C2211yescharacteristic, complemented
37D4×C22⋊D13C2211yescharacteristic, complemented
38C22×#6104C2211yescharacteristic
39#11719496—21no—
40C2×C4×C22⋊D13—21no—
41C2×#88165C2211yescharacteristic
42C2×D8×D13C2211yescharacteristic
43#11719432C2211yescharacteristic, complemented
44#11719431C2211yescharacteristic, complemented
45#11719423C2211yescharacteristic, complemented
46#11719422C2211yescharacteristic, complemented
47#11719382—21no—
48#11719381—21no—
49#11719316C2211yescharacteristic
50#11719316C2211yescharacteristic, complemented
51#11719315—21no—
52#11719315—21no—
53#11719314C2211yescharacteristic
54#11719314C2211yescharacteristic, complemented
55#11719264C2211yescharacteristic, complemented
56#11719263C2211yescharacteristic, complemented
57#11719262C2211yescharacteristic, complemented
58#11719261—21no—
59#11719259C2211yescharacteristic, complemented
60#11719253C2211yescharacteristic, complemented
61#11719253C2211yescharacteristic, complemented
62#11719253C2211yescharacteristic, complemented
63#11719252—21no—
64#11719252—21no—
65#11719252—21no—
66C4×D4×D13C2211yescharacteristic, complemented
67C4×D4×D13C2211yescharacteristic, complemented
68C4×D4×D13C2211yescharacteristic, complemented
69#11719245—21no—
70#11719244C2211yescharacteristic, complemented
71#11719243—21no—
72C4×#6129C2211yescharacteristic, complemented
73#11719219C2211yescharacteristic, complemented
74#11719216C2211yescharacteristic, complemented
75#11719200—21no—
76#11719195—21no—
77#11719184C2211yescharacteristic, complemented
78C4×#6127C2211yescharacteristic
79C2×C4×D52C2211yescharacteristic, complemented
80C13×#481C2211yescharacteristic, complemented
81C13×#481C2211yescharacteristic, complemented
82C13×#476C2211yescharacteristic, complemented
83C13×#476C2211yescharacteristic, complemented
84C13×#459C2211yescharacteristic, complemented
85C13×#459C2211yescharacteristic, complemented
86C13×#447C2211yescharacteristic, complemented
87C13×#447C2211yescharacteristic, complemented
88C13×#442C2211yescharacteristic, complemented
89C13×#442C2211yescharacteristic, complemented
90C13×#442C2211yescharacteristic, complemented
91C13×#442C2211yescharacteristic, complemented
92C13×#432C2211yescharacteristic, complemented
93C2×#88072C2211yescharacteristic, complemented
94#11718820C2211yescharacteristic, complemented
95#11718819C2211yescharacteristic, complemented
96#11718818C2211yescharacteristic, complemented
97#11718817C2211yescharacteristic
98#11718817C2211yescharacteristic, complemented
99#11718817C2211yescharacteristic, complemented
100#11718815C2211yescharacteristic, complemented
101#11718814C2211yescharacteristic, complemented
102#11718813C2211yescharacteristic, complemented
103#11718812C2211yescharacteristic, complemented
104#11718811C2211yescharacteristic, complemented
105#11718811C2211yescharacteristic, complemented
106#11718811C2211yescharacteristic, complemented
107D8×Dic13C2211yescharacteristic, complemented
108#11718750C2211yescharacteristic, complemented
109#11718741C2211yescharacteristic, complemented
110#11718735C2211yescharacteristic, complemented
111#11718732C2211yescharacteristic, complemented
112#11718702C2211yescharacteristic, complemented
113#11718702C2211yescharacteristic, complemented
114#11718699C2211yescharacteristic, complemented
115#11718699C2211yescharacteristic, complemented
116#11718679C2211yescharacteristic, complemented
117#11718679C2211yescharacteristic, complemented
118#11718675C2211yescharacteristic
119#11718675C2211yescharacteristic
120#11718675C2211yescharacteristic, complemented
121#11718675C2211yescharacteristic, complemented
122#11718675C2211yescharacteristic, complemented
123#11718675C2211yescharacteristic, complemented
124#11718675C2211yescharacteristic, complemented
125#11718675C2211yescharacteristic, complemented
126#11718675C2211yescharacteristic, complemented
127#11718675C2211yescharacteristic, complemented
128C2×#88049C2211yescharacteristic, complemented
129C2×#88048C2211yescharacteristic, complemented
130C2×#88043C2211yescharacteristic, complemented
131#11718532C2211yescharacteristic, complemented
132#11718531C2211yescharacteristic, complemented
133#11718531C2211yescharacteristic, complemented
134#11718530C2211yescharacteristic, complemented
135#11718527C2211yescharacteristic, complemented
136#11718526C2211yescharacteristic, complemented
137#11718525C2211yescharacteristic, complemented
138#11718524C2211yescharacteristic, complemented
139#11718524C2211yescharacteristic, complemented
140#11718523C2211yescharacteristic, complemented
141#11718522C2211yescharacteristic, complemented
142D13×#106C2211yescharacteristic, complemented
143#11718517C2211yescharacteristic, complemented
144#11718516C2211yescharacteristic, complemented
145#11718515C2211yescharacteristic, complemented
146#11718513C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718508C2211yescharacteristic, complemented
149#11718505C2211yescharacteristic, complemented
150#11718505C2211yescharacteristic, complemented
151#11718497C2211yescharacteristic, complemented
152#11718497C2211yescharacteristic, complemented
153#11718489C2211yescharacteristic, complemented
154#11718489C2211yescharacteristic, complemented
155#11718448C2211yescharacteristic, complemented
156#11718447C2211yescharacteristic
157#11718447C2211yescharacteristic, complemented
158#11718446C2211yescharacteristic
159#11718446C2211yescharacteristic, complemented
160#11718445C2211yescharacteristic, complemented
161#11718443C2211yescharacteristic, complemented
162#11718443C2211yescharacteristic, complemented
163#11718442C2211yescharacteristic, complemented
164#11718439C2211yescharacteristic, complemented
165#11718438C2211yescharacteristic, complemented
166#11718438C2211yescharacteristic, complemented
167#11718437C2211yescharacteristic, complemented
168#11718436C2211yescharacteristic, complemented
169#11718435C2211yescharacteristic, complemented
170#11718434C2211yescharacteristic, complemented
171#11718434C2211yescharacteristic, complemented
172#11718432C2211yescharacteristic, complemented
173#11718431C2211yescharacteristic, complemented
174D13×#102C2211yescharacteristic, complemented
175D13×#102C2211yescharacteristic, complemented
176#11718427C2211yescharacteristic, complemented
177#11718426C2211yescharacteristic, complemented
178#11718425C2211yescharacteristic, complemented
179#11718423C2211yescharacteristic, complemented
180#11718422C2211yescharacteristic, complemented
181#11718422C2211yescharacteristic, complemented
182#11718421C2211yescharacteristic, complemented
183#11718421C2211yescharacteristic, complemented
184#11718420C2211yescharacteristic, complemented
185#11718419C2211yescharacteristic, complemented
186#11718417C2211yescharacteristic
187#11718397C2211yescharacteristic, complemented
188#11718393C2211yescharacteristic
189#11718392C2211yescharacteristic, complemented
190#11718391C2211yescharacteristic, complemented
191#11718391C2211yescharacteristic, complemented
192#11718386C2211yescharacteristic, complemented
193#11718386C2211yescharacteristic, complemented
194#11718382C2211yescharacteristic, complemented
195#11718372C2211yescharacteristic, complemented
196#11718372C2211yescharacteristic, complemented
197#11718371C2211yescharacteristic, complemented
198#11718371C2211yescharacteristic, complemented
199#11718368C2211yescharacteristic, complemented
200#11718366C2211yescharacteristic, complemented
201#11718366C2211yescharacteristic, complemented
202D13×#97C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C22×D4×C13C2311yescharacteristic
205C23×C4×C13—21no—
206C22×C22⋊D13—21no—
207#41×D13—48no—
208C2×#6131—21no—
209C2×Q8×D13—21no—
210C2×#6129—21no—
211C2×#6129—21no—
212C2×#6129—21no—
213C2×#6129C2311yescharacteristic
214C2×D4×D13—21no—
215C2×D4×D13—21no—
216C2×D4×D13—21no—
217C2×D4×D13C2311yescharacteristic
218C2×D4×D13C2311yescharacteristic
219C2×D4×D13C2311yescharacteristic
220C2×#6127—21no—
221C2×#6127—21no—
222C2×#6127—21no—
223C2×#6127D411yescharacteristic
224C22×D52C2311yescharacteristic
225C22×C4×D13—21no—
226C22×C4×D13—21no—
227C22×C4×D13—21no—
228C22×C4×D13—21no—
229C2×C13×D8C2311yescharacteristic
230C2×C13×D8C2311yescharacteristic
231C2×C13×D8C2311yescharacteristic
232C2×C13×D8C2311yescharacteristic
233C13×C4⋊Q8C2311yescharacteristic
234C13×#127C2311yescharacteristic
235C13×#124—21no—
236C13×#121—21no—
237C13×#121C2311yescharacteristic
238C13×#121C2311yescharacteristic
239C4×D4×C13—21no—
240C4×D4×C13—21no—
241C4×D4×C13—21no—
242C4×D4×C13C2311yescharacteristic
243C4×D4×C13C2311yescharacteristic
244C4×D4×C13C2311yescharacteristic
245C4×D4×C13C2311yescharacteristic
246C4×D4×C13C2311yescharacteristic
247C4×D4×C13C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4—21no—
250C2×C42×C13C2311yescharacteristic
251#88207—21no—
252#88207—21no—
253C2×C22⋊Dic13—21no—
254#88200—21no—
255#88200—21no—
256#88194C2311yescharacteristic
257#88194C2311yescharacteristic
258#88194C2311yescharacteristic
259#88193—21no—
260#88193—21no—
261#88193—21no—
262#88193—21no—
263#88192—21no—
264#88192—21no—
265#88192C2311yescharacteristic
266#88192C2311yescharacteristic
267#88192C2311yescharacteristic
268#88192C2311yescharacteristic
269#88191—21no—
270#88191—21no—
271#88191—21no—
272#88191—21no—
273#88191—21no—
274#88190C2311yescharacteristic
275#88189—21no—
276#88189—21no—
277#88189—21no—
278D4×Dic13C2311yescharacteristic
279D4×Dic13C2311yescharacteristic
280D4×Dic13C2311yescharacteristic
281D4×Dic13C2311yescharacteristic
282C2×#6105C2311yescharacteristic
283C2×#6105C2311yescharacteristic
284C2×#6104—24no—
285C2×#6104C2311yescharacteristic
286C2×#6104C2311yescharacteristic
287C2×#6104C2311yescharacteristic
288C2×#6104C2311yescharacteristic
289C2×#6104C2311yescharacteristic
290C2×#6104C2311yescharacteristic
291#88184—21no—
292#88184—21no—
293#88184C2311yescharacteristic
294#88183—21no—
295#88183—21no—
296#88183—21no—
297C4×C22⋊D13—21no—
298C4×C22⋊D13—21no—
299C4×C22⋊D13—21no—
300C4×C22⋊D13—21no—
301C4×C22⋊D13—21no—
302C4×C22⋊D13—21no—
303C4×C22⋊D13—21no—
304C4×C22⋊D13—21no—
305C4×C22⋊D13—21no—
306C4×C22⋊D13—21no—
307C4×C22⋊D13—21no—
308C4×C22⋊D13—21no—
309C4×C22⋊D13—21no—
310C4×C22⋊D13D411yescharacteristic
311C4×C22⋊D13D411yescharacteristic
312C4×C22⋊D13C2311yescharacteristic
313C4×C22⋊D13C2311yescharacteristic
314C2×#6103—21no—
315C2×#6103—21no—
316#88180—21no—
317#88180D411yescharacteristic
318C2×C4⋊Dic13C2311yescharacteristic
319#88178—21no—
320#88178—21no—
321#88178C2311yescharacteristic
322C2×#6101—21no—
323C2×C4×Dic13—21no—
324C22×#1055C2311yescharacteristic
325C22×#1055C2311yescharacteristic
326#88165—24no—
327D8×D13—24no—
328C2×D104C2311yescharacteristic
329C2×D104C2311yescharacteristic
330C2×#6095C2311yescharacteristic
331C2×#6095C2311yescharacteristic
332C2×#6094C2311yescharacteristic
333C2×#6094C2311yescharacteristic
334C2×C8×D13C2311yescharacteristic
335C2×C8×D13C2311yescharacteristic
336#88152—21no—
337#88151C2311yescharacteristic
338#88150—21no—
339#88150—21no—
340#88150—21no—
341#88149C2311yescharacteristic
342#88149C2311yescharacteristic
343#88149C2311yescharacteristic
344#88148—21no—
345#88148—21no—
346#88148—21no—
347#88147C2311yescharacteristic
348#88147C2311yescharacteristic
349#88147C2311yescharacteristic
350#88146C2311yescharacteristic
351C4⋊C4×D13C2311yescharacteristic
352C4⋊C4×D13C2311yescharacteristic
353C4⋊C4×D13C2311yescharacteristic
354#88144C2311yescharacteristic
355#88143—21no—
356#88142C2311yescharacteristic
357#88142C2311yescharacteristic
358#88142C2311yescharacteristic
359#88141C2311yescharacteristic
360#88140—21no—
361#88139—21no—
362#88139—21no—
363#88139—21no—
364#88139—21no—
365#88138—21no—
366#88138—21no—
367#88138—21no—
368#88138—21no—
369#88138—21no—
370#88138—21no—
371#88137—21no—
372#88137—21no—
373#88137—21no—
374#88137—21no—
375#88136—21no—
376#88136—21no—
377#88136—21no—
378#88135—21no—
379#88135—21no—
380#88135—21no—
381#88135—21no—
382C22⋊C4×D13—21no—
383C22⋊C4×D13—21no—
384C22⋊C4×D13—21no—
385#88133—21no—
386#88133—21no—
387#88132—21no—
388#88132—21no—
389#88132—21no—
390#88132—21no—
391#88131—21no—
392#88130—21no—
393#88129C2311yescharacteristic
394C4×D52—21no—
395C4×D52—21no—
396C4×D52D411yescharacteristic
397C4×D52C2311yescharacteristic
398C4×D52C2311yescharacteristic
399C4×D52C2311yescharacteristic
400C4×D52C2311yescharacteristic
401C4×D52C2311yescharacteristic
402C4×D52C2311yescharacteristic
403#88126—21no—
404#88126D411yescharacteristic
405#88126D411yescharacteristic
406C42×D13C2311yescharacteristic
407C42×D13C2311yescharacteristic
408#88124C2311yescharacteristic
409C4×Dic26D411yescharacteristic
410C4×Dic26C2311yescharacteristic
411C4×Dic26C2311yescharacteristic
412C13×#106C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×#106C2311yescharacteristic
416C13×C4⋊C8C2311yescharacteristic
417C13×C4⋊C8C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×#102C2311yescharacteristic
426C13×C22⋊C8C2311yescharacteristic
427C13×C22⋊C8C2311yescharacteristic
428C13×#97C2311yescharacteristic
429C13×#97C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435#88072C2311yescharacteristic
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88060C2311yescharacteristic
445#88060C2311yescharacteristic
446#88060C2311yescharacteristic
447#88060C2311yescharacteristic
448#88058C2311yescharacteristic
449#88058C2311yescharacteristic
450#88057C2311yescharacteristic
451#88057C2311yescharacteristic
452#88056C2311yescharacteristic
453#88056C2311yescharacteristic
454#88055C2311yescharacteristic
455#88055C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459#88054C2311yescharacteristic
460C8×Dic13C2311yescharacteristic
461C8×Dic13C2311yescharacteristic
462#88050C2311yescharacteristic
463#88050C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88048C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88043C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#88043C2311yescharacteristic
482#61451—131nomaximal, Sylow
483C24×C13—21no—
484C23×D13—21no—
485C23×D13—21no—
486C23×D13—21no—
487C23×D13—21no—
488C13×#41—44no—
489C2×Q8×C13—21no—
490C2×D4×C13—22no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—21no—
496C2×D4×C13—41no—
497C2×D4×C13C2411yescharacteristic
498C2×D4×C13C2411yescharacteristic
499C2×D4×C13C2411yescharacteristic
500C2×D4×C13C2411yescharacteristic
501C22×C4×C13—21no—
502C22×C4×C13—21no—
503C22×C4×C13—21no—
504C22×C4×C13—21no—
505C22×C4×C13—21no—
506C22×C4×C13—21no—
507C22×C4×C13—21no—
508C22×C4×C13—82no—
509C22×C4×C13C2×D411yescharacteristic
510C22×C4×C13C2×D411yescharacteristic
511C22×C4×C13C2411yescharacteristic
512C2×C22⋊D13—21no—
513C2×C22⋊D13—21no—
514C2×C22⋊D13—21no—
515C2×C22⋊D13—21no—
516C2×C22⋊D13—21no—
517C2×C22⋊D13—21no—
518C2×C22⋊D13—21no—
519C2×C22⋊D13—21no—
520C2×C22⋊D13—21no—
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—44no—
528C2×C22⋊D13C2×D411yescharacteristic
529C2×C22⋊D13C2×D411yescharacteristic
530C22×Dic13—21no—
531C22×Dic13—21no—
532C22×Dic13—21no—
533C22×Dic13—21no—
534C22×Dic13—21no—
535C22×Dic13—21no—
536#6131—44no—
537Q8×D13—44no—
538#6129—22no—
539#6129—41no—
540#6129—44no—
541#6129—44no—
542#6129—44no—
543D4×D13—22no—
544D4×D13—22no—
545D4×D13—22no—
546D4×D13—41no—
547D4×D13—41no—
548D4×D13—41no—
549D4×D13—44no—
550D4×D13—44no—
551D4×D13—44no—
552#6127—24no—
553#6127—44no—
554#6127—44no—
555#6127—82no—
556C2×D52—22no—
557C2×D52—21no—
558C2×D52—21no—
559C2×D52—21no—
560C2×D52—21no—
561C2×D52—41no—
562C2×D52C2×D411yescharacteristic
563C2×D52C2411yescharacteristic
564C2×D52C2411yescharacteristic
565C2×D52C2411yescharacteristic
566C2×C4×D13—21no—
567C2×C4×D13—21no—
568C2×C4×D13—21no—
569C2×C4×D13—21no—
570C2×C4×D13—21no—
571C2×C4×D13—21no—
572C2×C4×D13—21no—
573C2×C4×D13—21no—
574C2×C4×D13—21no—
575C2×C4×D13—21no—
576C2×C4×D13—21no—
577C2×C4×D13—44no—
578C2×C4×D13—44no—
579C2×C4×D13—44no—
580C2×C4×D13—82no—
581C2×C4×D13C2×D411yescharacteristic
582C2×C4×D13C2×D411yescharacteristic
583C2×C4×D13C2×D411yescharacteristic
584C2×C4×D13C2×D411yescharacteristic
585C2×C4×D13C2411yescharacteristic
586C2×C4×D13C2411yescharacteristic
587C2×Dic26—21no—
588C2×Dic26—21no—
589C2×Dic26—21no—
590C2×Dic26C2×D411yescharacteristic
591C2×Dic26C2411yescharacteristic
592C13×D8—22no—
593C13×D8—22no—
594C13×D8—41no—
595C13×D8—41no—
596C2×C8×C13C2411yescharacteristic
597C2×C8×C13C2411yescharacteristic
598C2×C8×C13C2411yescharacteristic
599C2×C8×C13C2411yescharacteristic
600C13×C4⋊C4—21no—
601C13×C4⋊C4—21no—
602C13×C4⋊C4C2411yescharacteristic
603C13×C4⋊C4C2411yescharacteristic
604C13×C4⋊C4C2411yescharacteristic
605C13×C4⋊C4C2411yescharacteristic
606C13×C22⋊C4—21no—
607C13×C22⋊C4—21no—
608C13×C22⋊C4—21no—
609C13×C22⋊C4—21no—
610C13×C22⋊C4—21no—
611C13×C22⋊C4—21no—
612C13×C22⋊C4—21no—
613C13×C22⋊C4—21no—
614C42×C13C2×D411yescharacteristic
615C42×C13C2×D411yescharacteristic
616C42×C13C2411yescharacteristic
617C42×C13C2411yescharacteristic
618C22⋊Dic13—21no—
619C22⋊Dic13—21no—
620C22⋊Dic13—21no—
621C22⋊Dic13—21no—
622C22⋊Dic13—21no—
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626C22⋊Dic13—21no—
627C22⋊Dic13—21no—
628C22⋊Dic13—21no—
629C22⋊Dic13C2×D411yescharacteristic
630C22⋊Dic13C2×D411yescharacteristic
631#6105—22no—
632#6105—41no—
633#6104—22no—
634#6104—22no—
635#6104—22no—
636#6104—22no—
637#6104—41no—
638#6104#4114yescomplemented
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650#6103—21no—
651#6103—21no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103C2×D411yescharacteristic
656#6103C2×D411yescharacteristic
657#6103C2×D411yescharacteristic
658#6103C2×D411yescharacteristic
659C4⋊Dic13—21no—
660C4⋊Dic13—21no—
661C4⋊Dic13—21no—
662C4⋊Dic13C2×D411yescharacteristic
663C4⋊Dic13C2×D411yescharacteristic
664C4⋊Dic13C2411yescharacteristic
665C4⋊Dic13C2411yescharacteristic
666C4⋊Dic13C2411yescharacteristic
667C4⋊Dic13C2411yescharacteristic
668#6101—21no—
669#6101—21no—
670#6101—21no—
671#6101—21no—
672#6101—21no—
673#6101—21no—
674#6101—21no—
675#6101—21no—
676#6101—21no—
677#6101—21no—
678#6101—21no—
679#6101—21no—
680#6101C2×D411yescharacteristic
681#6101C2×D411yescharacteristic
682#6101C2×D411yescharacteristic
683#6101C2×D411yescharacteristic
684C4×Dic13—21no—
685C4×Dic13—21no—
686C4×Dic13—21no—
687C4×Dic13C2×D411yescharacteristic
688C4×Dic13C2×D411yescharacteristic
689C4×Dic13C2×D411yescharacteristic
690C4×Dic13C2×D411yescharacteristic
691C4×Dic13C2411yescharacteristic
692C4×Dic13C2411yescharacteristic
693C2×#1055—22no—
694C2×#1055—41no—
695C2×#1055C2411yescharacteristic
696C2×#1055C2411yescharacteristic
697C2×#1055C2411yescharacteristic
698C2×#1055C2411yescharacteristic
699D104—22no—
700D104—41no—
701#6095—22no—
702#6095—41no—
703#6094—22no—
704#6094—41no—
705C8×D13—22no—
706C8×D13—41no—
707#3481—131no—
708D4×#41—131no—
709#3399—131no—
710#3384—131no—
711#3373—131no—
712#3366—131no—
713#3345—131no—
714#3345—131no—
715#3335—131no—
716#3318—131no—
717#3318—131no—
718#3306—131no—
719#3306—131no—
720#3295—131no—
721#3294—131no—
722D4×D8—131no—
723#3264—131no—
724#3264—131no—
725#3184—131no—
726#3180—131no—
727#3180—131no—
728#3115—131no—
729#3114—131no—
730#3114—131no—
731#3109—131no—
732#3109—131no—
733#3109D1311yescharacteristic, complemented
734#2970—131no—
735C4×AGL(1,ℤ/8)—131no—
736C2×#442—131no—
737C2×#442—131no—
738C23×C13—21no—
739C23×C13—21no—
740C23×C13—21no—
741C23×C13—21no—
742C23×C13—42no—
743C23×C13—42no—
744C23×C13—81no—
745C23×C13C22×D411yescharacteristic
746C22×D13—21no—
747C22×D13—21no—
748C22×D13—21no—
749C22×D13—42no—
750C22×D13—42no—
751C22×D13—42no—
752C22×D13—42no—
753C22×D13—42no—
754C22×D13—42no—
755C22×D13—42no—
756C22×D13—42no—
757C22×D13—81no—
758C22×D13—81no—
759C22×D13—81no—
760C22×D13—81no—
761C22×D13C22×D411yescharacteristic
762C22×D13C22×D411yescharacteristic
763Q8×C13—42no—
764D4×C13—21no—
765D4×C13—21no—
766D4×C13—21no—
767D4×C13—21no—
768D4×C13—21no—
769D4×C13—21no—
770D4×C13—21no—
771D4×C13—42no—
772D4×C13—42no—
773D4×C13—42no—
774D4×C13—42no—
775D4×C13—81no—
776D4×C13C2×#4112yescomplemented
777C2×C4×C13—22no—
778C2×C4×C13—21no—
779C2×C4×C13—21no—
780C2×C4×C13—21no—
781C2×C4×C13—21no—
782C2×C4×C13—21no—
783C2×C4×C13—21no—
784C2×C4×C13—41no—
785C2×C4×C13—42no—
786C2×C4×C13—42no—
787C2×C4×C13—42no—
788C2×C4×C13—42no—
789C2×C4×C13—81no—
790C2×C4×C13—81no—
791C2×C4×C13—81no—
792C2×C4×C13C22×D411yescharacteristic
793C2×C4×C13C22×D411yescharacteristic
794C2×C4×C13C22×D411yescharacteristic
795C2×C4×C13C22×D411yescharacteristic
796C2×C4×C13C22×D411yescharacteristic
797C2×C4×C13C2511yescharacteristic
798C22⋊D13—22no—
799C22⋊D13—42no—
800C22⋊D13—42no—
801C22⋊D13—42no—
802C22⋊D13—42no—
803C22⋊D13—42no—
804C22⋊D13—42no—
805C22⋊D13—42no—
806C22⋊D13—42no—
807C22⋊D13—42no—
808C22⋊D13—42no—
809C22⋊D13—42no—
810C22⋊D13—81no—
811C22⋊D13—81no—
812C22⋊D13—81no—
813C22⋊D13—81no—
814C22⋊D13AGL(1,ℤ/8)14yescomplemented
815C2×Dic13—21no—
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—21no—
820C2×Dic13—42no—
821C2×Dic13—42no—
822C2×Dic13—42no—
823C2×Dic13—42no—
824C2×Dic13—42no—
825C2×Dic13—81no—
826C2×Dic13C22×D411yescharacteristic
827C2×Dic13C22×D411yescharacteristic
828C2×Dic13C22×D411yescharacteristic
829C2×Dic13C22×D411yescharacteristic
830C2×Dic13C22×D411yescharacteristic
831C2×Dic13C22×D411yescharacteristic
832D52—22no—
833D52—21no—
834D52—21no—
835D52—21no—
836D52—21no—
837D52—21no—
838D52—42no—
839D52—42no—
840D52—42no—
841D52—81no—
842D52C2×#4112yes—
843C4×D13—22no—
844C4×D13—21no—
845C4×D13—21no—
846C4×D13—21no—
847C4×D13—21no—
848C4×D13—22no—
849C4×D13—41no—
850C4×D13—41no—
851C4×D13—42no—
852C4×D13—42no—
853C4×D13—42no—
854C4×D13—42no—
855C4×D13—42no—
856C4×D13—42no—
857C4×D13—42no—
858C4×D13—42no—
859C4×D13—42no—
860C4×D13—81no—
861C4×D13—81no—
862Dic26—22no—
863Dic26—21no—
864Dic26—21no—
865Dic26—42no—
866Dic26—42no—
867Dic26—81no—
868C8×C13—21no—
869C8×C13—21no—
870C8×C13—21no—
871C8×C13—21no—
872#1055—21no—
873#1055—21no—
874#1055—21no—
875#1055C2×#4112yescomplemented
876C22×#41—261no—
877C2×AGL(1,ℤ/8)—131no—
878C22×D8—131no—
879C22×D8—131no—
880#559—131no—
881#554—131no—
882#554—131no—
883#553—131no—
884#553—131no—
885#553—261no—
886#551—261no—
887#551—261no—
888#550—131no—
889D4×Q8—131no—
890#548—261no—
891#547—131no—
892#547—131no—
893#547—131no—
894#546—131no—
895#546—131no—
896#546—261no—
897#546—261no—
898#546—261no—
899#546—261no—
900D42—131no—
901D42—131no—
902D42—131no—
903D42—131no—
904#532—131no—
905#532—131no—
906#532—131no—
907#532C2×D1311yescharacteristic, complemented
908#529—131no—
909#529—131no—
910#529—261no—
911#525—261no—
912#525—261no—
913#525—261no—
914#525—261no—
915#525—261no—
916C4×#41—131no—
917C4×#41—131no—
918C2×C4×D4—131no—
919C2×C4×D4—131no—
920C2×C4×D4—131no—
921C2×C4×D4—131no—
922C2×C4×D4—261no—
923C2×C4×D4C2×D1311yescharacteristic, complemented
924#501—131no—
925#501—131no—
926#498—131no—
927#496—131no—
928#496—131no—
929#493—131no—
930#490—131no—
931#490—131no—
932#489—131no—
933#489—131no—
934#486—131no—
935#486—131no—
936#483—131no—
937#483—131no—
938#482—131no—
939#482—131no—
940#481—131no—
941#481—131no—
942#481—131no—
943#481—131no—
944#481C2×D1311yescharacteristic, complemented
945#481C2×D1311yescharacteristic, complemented
946#480—131no—
947#480—131no—
948#478—131no—
949#478—131no—
950#478—131no—
951#478—131no—
952#476—131no—
953#476—131no—
954#476—131no—
955#476—131no—
956#476C2×D1311yescharacteristic, complemented
957#476C2×D1311yescharacteristic, complemented
958#475—131no—
959#474—131no—
960#469—131no—
961#469—131no—
962#469—131no—
963#469—131no—
964#466—131no—
965#466—131no—
966#466—131no—
967#466—131no—
968#465—131no—
969#465—131no—
970#465—131no—
971#465—131no—
972#463—131no—
973#463—131no—
974#463—131no—
975#463—131no—
976#460—131no—
977#459—131no—
978#459—131no—
979#459—131no—
980#459—131no—
981#459—131no—
982#459C2×D1311yescharacteristic, complemented
983#459C2×D1311yescharacteristic, complemented
984#450—131no—
985#450—131no—
986#449—131no—
987#449—131no—
988#447—131no—
989#447—131no—
990#447—131no—
991#447—131no—
992#447—131no—
993#447—131no—
994#447C2×D1311yescharacteristic, complemented
995#447C2×D1311yescharacteristic, complemented
996#446—131no—
997#446—131no—
998#442—131no—
999#442—131no—
1000#442—131no—
1001#442—131no—
1002#442—131no—
1003#442—131no—
1004#442—131no—
1005#442—131no—
1006#442—131no—
1007#442—131no—
1008#442—131no—
1009#442—131no—
1010#442—131no—
1011#442—131no—
1012#442—131no—
1013#442—131no—
1014#442C2×D1311yescharacteristic, complemented
1015#442C2×D1311yescharacteristic, complemented
1016#442C2×D1311yescharacteristic, complemented
1017#442C2×D1311yescharacteristic, complemented
1018#440—131no—
1019#440—131no—
1020#440—131no—
1021#440—131no—
1022C4×SD16—131no—
1023C4×SD16—131no—
1024C4×D8—131no—
1025C4×D8—131no—
1026#435—131no—
1027#435—131no—
1028#435—131no—
1029#435—131no—
1030C8×D4—131no—
1031C8×D4—131no—
1032#432—131no—
1033#432—131no—
1034#432C2×D1311yescharacteristic, complemented
1035#428—131no—
1036C2×#106—131no—
1037C2×#106—131no—
1038#418—131no—
1039#417—131no—
1040C2×#102—131no—
1041C2×#102—131no—
1042C2×#102—131no—
1043C2×#102—131no—
1044C4×M16—131no—
1045C2×#97—131no—
1046C2×#97—131no—
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—22no—
1050C22×C13—41no—
1051C22×C13—41no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13—41no—
1059C22×C13—41no—
1060C22×C13—41no—
1061C22×C13—84no—
1062C22×C13C2×AGL(1,ℤ/8)12yes—
1063C22×C13C23×D411yescharacteristic
1064C2×D13—21no—
1065C2×D13—21no—
1066C2×D13—21no—
1067C2×D13—21no—
1068C2×D13—22no—
1069C2×D13—21no—
1070C2×D13—41no—
1071C2×D13—41no—
1072C2×D13—41no—
1073C2×D13—41no—
1074C2×D13—41no—
1075C2×D13—41no—
1076C2×D13—41no—
1077C2×D13—41no—
1078C2×D13—84no—
1079C2×D13—84no—
1080C2×D13—84no—
1081C2×D13—84no—
1082C2×D13C2×AGL(1,ℤ/8)12yes—
1083C4×C13—21no—
1084C4×C13—21no—
1085C4×C13—21no—
1086C4×C13—21no—
1087C4×C13—21no—
1088C4×C13—41no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13—41no—
1092C4×C13C22×#4111yescharacteristic
1093C4×C13#58511yescharacteristic
1094Dic13—21no—
1095Dic13—21no—
1096Dic13—21no—
1097Dic13—21no—
1098Dic13—21no—
1099Dic13—41no—
1100Dic13—41no—
1101Dic13—41no—
1102Dic13—41no—
1103Dic13—41no—
1104Dic13C2×AGL(1,ℤ/8)12yes—
1105C2×#41—21no—
1106C2×#41—131no—
1107C2×#41—131no—
1108C2×#41—261no—
1109C2×#41—261no—
1110C2×#41—261no—
1111C2×#41—261no—
1112C2×#41—261no—
1113C2×#41—261no—
1114C2×#41—261no—
1115C2×#41—528no—
1116C22×Q8—261no—
1117C22×D4—131no—
1118C22×D4—131no—
1119C22×D4—131no—
1120C22×D4—131no—
1121C22×D4—261no—
1122C22×D4—261no—
1123C22×D4—261no—
1124C22×D4—261no—
1125C22×D4C22×D1311yescharacteristic
1126C23×C4—21no—
1127C23×C4—261no—
1128C23×C4—261no—
1129C23×C4—261no—
1130C23×C4—261no—
1131AGL(1,ℤ/8)—264no—
1132C2×SD16—131no—
1133C2×SD16—131no—
1134C2×SD16—131no—
1135C2×SD16—131no—
1136C2×D8—131no—
1137C2×D8—131no—
1138C2×D8—131no—
1139C2×D8—131no—
1140C2×D8—131no—
1141C2×D8—131no—
1142C2×D8—131no—
1143C2×D8—131no—
1144C2×D8—264no—
1145C2×D8—264no—
1146C2×D8C22×D1311yescharacteristic
1147C2×D8C22×D1311yescharacteristic
1148C2×D8C22×D1311yescharacteristic
1149C2×D8C22×D1311yescharacteristic
1150C2×M16—131no—
1151C2×M16—131no—
1152C22×C8—131no—
1153C22×C8—131no—
1154C22×C8—131no—
1155C22×C8—131no—
1156C4⋊Q8—131no—
1157C4⋊Q8—131no—
1158C4⋊Q8—131no—
1159C4⋊Q8C22×D1311yescharacteristic
1160#127—131no—
1161#127—131no—
1162#127—131no—
1163#127C22×D1311yescharacteristic
1164#126—261no—
1165#126—261no—
1166#126—261no—
1167#126—261no—
1168#125—131no—
1169#125—131no—
1170#125—261no—
1171#124—21no—
1172#124—131no—
1173#124—131no—
1174#124—261no—
1175#124—261no—
1176#124—261no—
1177#124—261no—
1178#123—261no—
1179#123—261no—
1180#123—261no—
1181#123—261no—
1182#123—261no—
1183#123—261no—
1184#123—261no—
1185#123—261no—
1186#123—261no—
1187#123—261no—
1188#123—261no—
1189#123—261no—
1190#123—261no—
1191#123—261no—
1192C22⋊Q8—131no—
1193C22⋊Q8—131no—
1194C22⋊Q8—261no—
1195C22⋊Q8—261no—
1196C22⋊Q8—261no—
1197C22⋊Q8—261no—
1198C22⋊Q8—261no—
1199C22⋊Q8—261no—
1200C22⋊Q8—261no—
1201C22⋊Q8—261no—
1202C22⋊Q8—261no—
1203C22⋊Q8—261no—
1204C22⋊Q8—261no—
1205#121—21no—
1206#121—131no—
1207#121—131no—
1208#121—131no—
1209#121—131no—
1210#121—131no—
1211#121—131no—
1212#121—131no—
1213#121—131no—
1214#121—261no—
1215#121—261no—
1216#121—261no—
1217#121—261no—
1218#121—261no—
1219#121—261no—
1220#121—261no—
1221#121—261no—
1222#121—261no—
1223#121—261no—
1224#121—261no—
1225#121—261no—
1226#121—261no—
1227#121—261no—
1228#121C22×D1311yescharacteristic
1229#121C22×D1311yescharacteristic
1230#120—261no—
1231#120—261no—
1232#120—261no—
1233#120—261no—
1234#120—261no—
1235#120—261no—
1236#120—261no—
1237#120—261no—
1238#120—261no—
1239#120—261no—
1240C4×Q8—131no—
1241C4×Q8—131no—
1242C4×Q8—131no—
1243C4×Q8—131no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—131no—
1248C4×D4—131no—
1249C4×D4—131no—
1250C4×D4—131no—
1251C4×D4—131no—
1252C4×D4—131no—
1253C4×D4—131no—
1254C4×D4—131no—
1255C4×D4—131no—
1256C4×D4—131no—
1257C4×D4—131no—
1258C4×D4—131no—
1259C4×D4—131no—
1260C4×D4—131no—
1261C4×D4—131no—
1262C4×D4—131no—
1263C4×D4—131no—
1264C4×D4—131no—
1265C4×D4—261no—
1266C4×D4—261no—
1267C4×D4—261no—
1268C4×D4—261no—
1269C4×D4—261no—
1270C4×D4—261no—
1271C4×D4—261no—
1272C4×D4—261no—
1273C4×D4—261no—
1274C4×D4—261no—
1275C4×D4—261no—
1276C4×D4—261no—
1277C4×D4—261no—
1278C4×D4—261no—
1279C4×D4—261no—
1280C4×D4—261no—
1281C4×D4—261no—
1282C4×D4—261no—
1283C4×D4—261no—
1284C4×D4C22×D1311yescharacteristic
1285C4×D4C22×D1311yescharacteristic
1286C4×D4C22×D1311yescharacteristic
1287C4×D4C22×D1311yescharacteristic
1288C4×D4C22×D1311yescharacteristic
1289C4×D4C22×D1311yescharacteristic
1290#117—131no—
1291#117—131no—
1292#117—131no—
1293#117—131no—
1294#117—261no—
1295#117—261no—
1296#117—261no—
1297C2×C4⋊C4—131no—
1298C2×C4⋊C4—131no—
1299C2×C4⋊C4—131no—
1300C2×C4⋊C4—131no—
1301C2×C4⋊C4—261no—
1302C2×C4⋊C4C22×D1311yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—261no—
1305C2×C22⋊C4—261no—
1306C2×C22⋊C4—261no—
1307C2×C22⋊C4—261no—
1308C2×C22⋊C4—261no—
1309C2×C22⋊C4—261no—
1310C2×C42—131no—
1311C2×C42—131no—
1312C2×C42—261no—
1313C2×C42C22×D1311yescharacteristic
1314#107—131no—
1315#107—131no—
1316#107—131no—
1317#107—131no—
1318#106—131no—
1319#106—131no—
1320#106—131no—
1321#106—131no—
1322#106—131no—
1323#106—131no—
1324#106—131no—
1325#106—131no—
1326#106C22×D1311yescharacteristic
1327#106C22×D1311yescharacteristic
1328#106C22×D1311yescharacteristic
1329#106C22×D1311yescharacteristic
1330C4⋊C8—131no—
1331C4⋊C8—131no—
1332C4⋊C8—131no—
1333C4⋊C8—131no—
1334C4⋊C8C22×D1311yescharacteristic
1335C4⋊C8C22×D1311yescharacteristic
1336#103—131no—
1337#103—131no—
1338#103—131no—
1339#103—131no—
1340#102—131no—
1341#102—131no—
1342#102—131no—
1343#102—131no—
1344#102—131no—
1345#102—131no—
1346#102—131no—
1347#102—131no—
1348#102—131no—
1349#102—131no—
1350#102—131no—
1351#102—131no—
1352#102—131no—
1353#102—131no—
1354#102—131no—
1355#102—131no—
1356#102—131no—
1357#102—131no—
1358#102—131no—
1359#102—131no—
1360#102C22×D1311yescharacteristic
1361#102C22×D1311yescharacteristic
1362#102C22×D1311yescharacteristic
1363#102C22×D1311yescharacteristic
1364#102C22×D1311yescharacteristic
1365#102C22×D1311yescharacteristic
1366#102C22×D1311yescharacteristic
1367#102C22×D1311yescharacteristic
1368C22⋊C8—131no—
1369C22⋊C8—131no—
1370C22⋊C8—131no—
1371C22⋊C8—131no—
1372C22⋊C8C22×D1311yescharacteristic
1373C22⋊C8C22×D1311yescharacteristic
1374#97—131no—
1375#97—131no—
1376#97—131no—
1377#97—131no—
1378#97—131no—
1379#97—131no—
1380#97C22×D1311yescharacteristic
1381#97C22×D1311yescharacteristic
1382C4×C8—131no—
1383C4×C8—131no—
1384C2×C13—22no—
1385C2×C13—42no—
1386C2×C13—81no—
1387C2×C13—81no—
1388C2×C13—81no—
1389C2×C13D4×#4111yescharacteristic
1390C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1391C2×C13#358511yescharacteristic
1392D13—22no—
1393D13—41no—
1394D13—42no—
1395D13—81no—
1396D13—81no—
1397C24—21no—
1398C24—261no—
1399C24—261no—
1400C24—261no—
1401C24—261no—
1402#41—44no—
1403#41—264no—
1404#41—262no—
1405#41—524no—
1406#41—524no—
1407#41—521no—
1408#41—524no—
1409#41—524no—
1410#41—524no—
1411#41—524no—
1412#41—1042no—
1413C2×Q8—21no—
1414C2×Q8—131no—
1415C2×Q8—131no—
1416C2×Q8—261no—
1417C2×Q8—261no—
1418C2×Q8—261no—
1419C2×Q8—524no—
1420C2×D4—22no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—41no—
1427C2×D4—131no—
1428C2×D4—131no—
1429C2×D4—131no—
1430C2×D4—131no—
1431C2×D4—131no—
1432C2×D4—131no—
1433C2×D4—262no—
1434C2×D4—261no—
1435C2×D4—261no—
1436C2×D4—261no—
1437C2×D4—261no—
1438C2×D4—261no—
1439C2×D4—261no—
1440C2×D4—261no—
1441C2×D4—261no—
1442C2×D4—261no—
1443C2×D4—261no—
1444C2×D4—261no—
1445C2×D4—261no—
1446C2×D4—262no—
1447C2×D4—262no—
1448C2×D4—262no—
1449C2×D4—261no—
1450C2×D4—261no—
1451C2×D4—261no—
1452C2×D4—261no—
1453C2×D4—261no—
1454C2×D4—261no—
1455C2×D4—261no—
1456C2×D4—521no—
1457C2×D4—521no—
1458C2×D4—521no—
1459C2×D4—521no—
1460C2×D4—524no—
1461C2×D4—524no—
1462C2×D4—524no—
1463C2×D4—524no—
1464C2×D4C23×D1311yescharacteristic
1465C2×D4C23×D1311yescharacteristic
1466C2×D4C23×D1311yescharacteristic
1467C2×D4C23×D1311yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—82no—
1476C22×C4—131no—
1477C22×C4—131no—
1478C22×C4—131no—
1479C22×C4—131no—
1480C22×C4—131no—
1481C22×C4—131no—
1482C22×C4—261no—
1483C22×C4—261no—
1484C22×C4—261no—
1485C22×C4—261no—
1486C22×C4—261no—
1487C22×C4—261no—
1488C22×C4—261no—
1489C22×C4—261no—
1490C22×C4—261no—
1491C22×C4—261no—
1492C22×C4—261no—
1493C22×C4—261no—
1494C22×C4—261no—
1495C22×C4—261no—
1496C22×C4—261no—
1497C22×C4—261no—
1498C22×C4—261no—
1499C22×C4—524no—
1500C22×C4—524no—
1501C22×C4—524no—
1502C22×C4—1042no—
1503C22×C4D4×D1311yescharacteristic
1504C22×C4D4×D1311yescharacteristic
1505C22×C4C23×D1311yescharacteristic
1506SD16—262no—
1507SD16—262no—
1508SD16—521no—
1509SD16—521no—
1510D8—22no—
1511D8—22no—
1512D8—41no—
1513D8—41no—
1514D8—134no—
1515D8—262no—
1516D8—262no—
1517D8—262no—
1518D8—262no—
1519D8—262no—
1520D8—521no—
1521D8—521no—
1522M16—262no—
1523M16—521no—
1524C2×C8—131no—
1525C2×C8—131no—
1526C2×C8—131no—
1527C2×C8—131no—
1528C2×C8—262no—
1529C2×C8—262no—
1530C2×C8—521no—
1531C2×C8—521no—
1532C2×C8C23×D1311yescharacteristic
1533C2×C8C23×D1311yescharacteristic
1534C2×C8C23×D1311yescharacteristic
1535C2×C8C23×D1311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—131no—
1539C4⋊C4—131no—
1540C4⋊C4—131no—
1541C4⋊C4—131no—
1542C4⋊C4—131no—
1543C4⋊C4—131no—
1544C4⋊C4—131no—
1545C4⋊C4—131no—
1546C4⋊C4—131no—
1547C4⋊C4—131no—
1548C4⋊C4—261no—
1549C4⋊C4—261no—
1550C4⋊C4—261no—
1551C4⋊C4—261no—
1552C4⋊C4—261no—
1553C4⋊C4—261no—
1554C4⋊C4—261no—
1555C4⋊C4—261no—
1556C4⋊C4—261no—
1557C4⋊C4—261no—
1558C4⋊C4—261no—
1559C4⋊C4—261no—
1560C4⋊C4—261no—
1561C4⋊C4—261no—
1562C4⋊C4—261no—
1563C4⋊C4C23×D1311yescharacteristic
1564C4⋊C4C23×D1311yescharacteristic
1565C4⋊C4C23×D1311yescharacteristic
1566C4⋊C4C23×D1311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—131no—
1576C22⋊C4—131no—
1577C22⋊C4—131no—
1578C22⋊C4—131no—
1579C22⋊C4—131no—
1580C22⋊C4—131no—
1581C22⋊C4—261no—
1582C22⋊C4—261no—
1583C22⋊C4—261no—
1584C22⋊C4—261no—
1585C22⋊C4—261no—
1586C22⋊C4—261no—
1587C22⋊C4—261no—
1588C22⋊C4—261no—
1589C22⋊C4—261no—
1590C22⋊C4—261no—
1591C22⋊C4—261no—
1592C22⋊C4—261no—
1593C22⋊C4—261no—
1594C22⋊C4—261no—
1595C22⋊C4—261no—
1596C22⋊C4—261no—
1597C22⋊C4—261no—
1598C22⋊C4—261no—
1599C22⋊C4—261no—
1600C22⋊C4—261no—
1601C22⋊C4—261no—
1602C22⋊C4—261no—
1603C22⋊C4—261no—
1604C22⋊C4—261no—
1605C22⋊C4—261no—
1606C22⋊C4—261no—
1607C22⋊C4—261no—
1608C42—131no—
1609C42—131no—
1610C42—131no—
1611C42—131no—
1612C42—131no—
1613C42—131no—
1614C42—261no—
1615C42—261no—
1616C42—261no—
1617C42D4×D1311yescharacteristic
1618C42D4×D1311yescharacteristic
1619C42C23×D1311yescharacteristic
1620C42C23×D1311yescharacteristic
1621C13#6145111yescharacteristic, complemented, Sylow
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—81no—
1629C23—131no—
1630C23—131no—
1631C23—261no—
1632C23—261no—
1633C23—261no—
1634C23—522no—
1635C23—522no—
1636C23—522no—
1637C23—522no—
1638C23—522no—
1639C23—522no—
1640C23—522no—
1641C23—522no—
1642C23—1041no—
1643C23—1041no—
1644C23—1041no—
1645C23—1041no—
1646C23C2×D4×D1311yescharacteristic
1647Q8—42no—
1648Q8—262no—
1649Q8—261no—
1650Q8—261no—
1651Q8—522no—
1652Q8—522no—
1653Q8—1041no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—81no—
1666D4—134no—
1667D4—132no—
1668D4—262no—
1669D4—262no—
1670D4—261no—
1671D4—261no—
1672D4—261no—
1673D4—261no—
1674D4—261no—
1675D4—522no—
1676D4—522no—
1677D4—522no—
1678D4—522no—
1679D4—522no—
1680D4—522no—
1681D4—522no—
1682D4—522no—
1683D4—522no—
1684D4—522no—
1685D4—522no—
1686D4—522no—
1687D4—522no—
1688D4—522no—
1689D4—1041no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4—1041no—
1694D4#41×D1312yescomplemented
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—41no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—131no—
1711C2×C4—131no—
1712C2×C4—131no—
1713C2×C4—131no—
1714C2×C4—131no—
1715C2×C4—131no—
1716C2×C4—262no—
1717C2×C4—262no—
1718C2×C4—261no—
1719C2×C4—261no—
1720C2×C4—261no—
1721C2×C4—261no—
1722C2×C4—261no—
1723C2×C4—261no—
1724C2×C4—261no—
1725C2×C4—261no—
1726C2×C4—261no—
1727C2×C4—521no—
1728C2×C4—521no—
1729C2×C4—522no—
1730C2×C4—522no—
1731C2×C4—522no—
1732C2×C4—522no—
1733C2×C4—522no—
1734C2×C4—522no—
1735C2×C4—522no—
1736C2×C4—522no—
1737C2×C4—522no—
1738C2×C4—522no—
1739C2×C4—522no—
1740C2×C4—522no—
1741C2×C4—522no—
1742C2×C4—522no—
1743C2×C4—1041no—
1744C2×C4—1041no—
1745C2×C4—1041no—
1746C2×C4C2×D4×D1311yescharacteristic
1747C2×C4C2×D4×D1311yescharacteristic
1748C2×C4C2×D4×D1311yescharacteristic
1749C2×C4C2×D4×D1311yescharacteristic
1750C2×C4C2×D4×D1311yescharacteristic
1751C2×C4C24×D1311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—21no—
1756C8—132no—
1757C8—261no—
1758C8—261no—
1759C8—261no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—84no—
1775C22—132no—
1776C22—261no—
1777C22—261no—
1778C22—261no—
1779C22—261no—
1780C22—262no—
1781C22—261no—
1782C22—521no—
1783C22—521no—
1784C22—521no—
1785C22—521no—
1786C22—521no—
1787C22—521no—
1788C22—521no—
1789C22—521no—
1790C22—1044no—
1791C22—1044no—
1792C22—1044no—
1793C22—1044no—
1794C22D13×AGL(1,ℤ/8)12yes—
1795C22C22×D4×D1311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—132no—
1806C4—261no—
1807C4—261no—
1808C4—261no—
1809C4—261no—
1810C4—261no—
1811C4—521no—
1812C4—521no—
1813C4—521no—
1814C4—521no—
1815C4—521no—
1816C4C2×#41×D1311yescharacteristic
1817C4#1171964811yescharacteristic
1818C2—22no—
1819C2—42no—
1820C2—81no—
1821C2—81no—
1822C2—81no—
1823C2—262no—
1824C2—521no—
1825C2—522no—
1826C2—1041no—
1827C2—1041no—
1828C2#1312831911yescharacteristic
1829C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
1830C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3109C2
socleC22×C13C23×D4
hypercenter#3109D13
hypocenterC13#61451
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3109

Complements

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

NH ≅ G/Ntype
1. #13128440C2semidirect
2. #13128322C2semidirect
3. #13127881C2semidirect
4. #13127730C2semidirect
5. #13127631C2semidirect
6. #13127538C2semidirect
7. #13127313C2semidirect
8. #13127304C2semidirect
9. #13127191C2semidirect
10. #13126984C2semidirect
11. #13126975C2semidirect
12. #13126801C2semidirect
13. #13126794C2semidirect
14. #13126658C2semidirect
15. #13126642C2semidirect
16. #13126506C2semidirect
17. #13126311C2semidirect
18. #13126309C2semidirect
19. #13125571C2semidirect
20. #13125532C2semidirect
21. #13125528C2semidirect
22. #13124983C2semidirect
23. #13124976C2semidirect
24. #13124972C2semidirect
25. #13124925C2semidirect
26. #13124925C2semidirect
27. #13123845C2semidirect
28. #13123647C2semidirect
29. C2×#11718675C2semidirect
30. D13×#442C2semidirect
31. C13×#3109C2semidirect
33. C13×#532C22semidirect
34. C2×C4×D4×C13C22semidirect
36. #11719511C22semidirect
37. D4×C22⋊D13C22semidirect
43. #11719432C22semidirect
44. #11719431C22semidirect
45. #11719423C22semidirect
46. #11719422C22semidirect
50. #11719316C22semidirect
54. #11719314C22semidirect
55. #11719264C22semidirect
56. #11719263C22semidirect
57. #11719262C22semidirect
59. #11719259C22semidirect
60. #11719253C22semidirect
61. #11719253C22semidirect
62. #11719253C22semidirect
66. C4×D4×D13C22semidirect
67. C4×D4×D13C22semidirect
68. C4×D4×D13C22semidirect
70. #11719244C22semidirect
72. C4×#6129C22semidirect
73. #11719219C22semidirect
74. #11719216C22semidirect
77. #11719184C22semidirect
79. C2×C4×D52C22semidirect
80. C13×#481C22semidirect
81. C13×#481C22semidirect
82. C13×#476C22semidirect
83. C13×#476C22semidirect
84. C13×#459C22semidirect
85. C13×#459C22semidirect
86. C13×#447C22semidirect
87. C13×#447C22semidirect
88. C13×#442C22semidirect
89. C13×#442C22semidirect
90. C13×#442C22semidirect
91. C13×#442C22semidirect
92. C13×#432C22semidirect
93. C2×#88072C22semidirect
94. #11718820C22semidirect
95. #11718819C22semidirect
96. #11718818C22semidirect
98. #11718817C22semidirect
99. #11718817C22semidirect
100. #11718815C22semidirect
101. #11718814C22semidirect
102. #11718813C22semidirect
103. #11718812C22semidirect
104. #11718811C22semidirect
105. #11718811C22semidirect
106. #11718811C22semidirect
107. D8×Dic13C22semidirect
108. #11718750C22semidirect
109. #11718741C22semidirect
110. #11718735C22semidirect
111. #11718732C22semidirect
112. #11718702C22semidirect
113. #11718702C22semidirect
114. #11718699C22semidirect
115. #11718699C22semidirect
116. #11718679C22semidirect
117. #11718679C22semidirect
120. #11718675C22semidirect
121. #11718675C22semidirect
122. #11718675C22semidirect
123. #11718675C22semidirect
124. #11718675C22semidirect
125. #11718675C22semidirect
126. #11718675C22semidirect
127. #11718675C22semidirect
128. C2×#88049C22semidirect
129. C2×#88048C22semidirect
130. C2×#88043C22semidirect
131. #11718532C22semidirect
132. #11718531C22semidirect
133. #11718531C22semidirect
134. #11718530C22semidirect
135. #11718527C22semidirect
136. #11718526C22semidirect
137. #11718525C22semidirect
138. #11718524C22semidirect
139. #11718524C22semidirect
140. #11718523C22semidirect
141. #11718522C22semidirect
142. D13×#106C22semidirect
143. #11718517C22semidirect
144. #11718516C22semidirect
145. #11718515C22semidirect
146. #11718513C22semidirect
147. #11718508C22semidirect
148. #11718508C22semidirect
149. #11718505C22semidirect
150. #11718505C22semidirect
151. #11718497C22semidirect
152. #11718497C22semidirect
153. #11718489C22semidirect
154. #11718489C22semidirect
155. #11718448C22semidirect
157. #11718447C22semidirect
159. #11718446C22semidirect
160. #11718445C22semidirect
161. #11718443C22semidirect
162. #11718443C22semidirect
163. #11718442C22semidirect
164. #11718439C22semidirect
165. #11718438C22semidirect
166. #11718438C22semidirect
167. #11718437C22semidirect
168. #11718436C22semidirect
169. #11718435C22semidirect
170. #11718434C22semidirect
171. #11718434C22semidirect
172. #11718432C22semidirect
173. #11718431C22semidirect
174. D13×#102C22semidirect
175. D13×#102C22semidirect
176. #11718427C22semidirect
177. #11718426C22semidirect
178. #11718425C22semidirect
179. #11718423C22semidirect
180. #11718422C22semidirect
181. #11718422C22semidirect
182. #11718421C22semidirect
183. #11718421C22semidirect
184. #11718420C22semidirect
185. #11718419C22semidirect
187. #11718397C22semidirect
189. #11718392C22semidirect
190. #11718391C22semidirect
191. #11718391C22semidirect
192. #11718386C22semidirect
193. #11718386C22semidirect
194. #11718382C22semidirect
195. #11718372C22semidirect
196. #11718372C22semidirect
197. #11718371C22semidirect
198. #11718371C22semidirect
199. #11718368C22semidirect
200. #11718366C22semidirect
201. #11718366C22semidirect
202. D13×#97C22semidirect
638. #6104#41semidirect
733. #3109D13semidirect
776. D4×C13C2×#41semidirect
814. C22⋊D13AGL(1,ℤ/8)semidirect
875. #1055C2×#41semidirect
907. #532C2×D13semidirect
923. C2×C4×D4C2×D13semidirect
944. #481C2×D13semidirect
945. #481C2×D13semidirect
956. #476C2×D13semidirect
957. #476C2×D13semidirect
982. #459C2×D13semidirect
983. #459C2×D13semidirect
994. #447C2×D13semidirect
995. #447C2×D13semidirect
1014. #442C2×D13semidirect
1015. #442C2×D13semidirect
1016. #442C2×D13semidirect
1017. #442C2×D13semidirect
1034. #432C2×D13semidirect
1621. C13#61451semidirect
1694. D4#41×D13semidirect

Maximal subgroups

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

subgroupindex
#131284402
#131283222
#131278812
#131277302
#131276312
#131275382
#131273132
#131273042
#131271912
#131269842
#131269752
#131268012
#131267942
#131266582
#131266422
#131265062
#131263112
#131263092
#131255712
#131255322
#131255282
#131249832
#131249762
#131249722
#131249252
#131238452
#131236472
C2×#117186752
D13×#4422
C13×#31092
#6145113