Finite Group Databasebeta

← #16758039

Subgroups — #16758039

Order 3328.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129424C211yesmaximal, characteristic, complemented
2#13127920C211yesmaximal, characteristic, complemented
3#13127896C211yesmaximal, characteristic, complemented
4#13127650C211yesmaximal, characteristic, complemented
5#13127576C211yesmaximal, characteristic, complemented
6#13127157C211yesmaximal, characteristic, complemented
7#13127135C211yesmaximal, characteristic, complemented
8#13126941C211yesmaximal, characteristic, complemented
9#13126911C211yesmaximal, characteristic, complemented
10#13126821C211yesmaximal, characteristic, complemented
11#13126791C211yesmaximal, characteristic, complemented
12#13126489C211yesmaximal, characteristic, complemented
13#13126468C211yesmaximal, characteristic, complemented
14#13126422C211yesmaximal, characteristic, complemented
15#13126417C211yesmaximal, characteristic, complemented
16#13126392C211yesmaximal, characteristic, complemented
17#13126377C211yesmaximal, characteristic, complemented
18#13126262C211yesmaximal, characteristic, complemented
19#13126247C211yesmaximal, characteristic, complemented
20#13126192C211yesmaximal, characteristic, complemented
21#13125939C211yesmaximal, characteristic, complemented
22#13125924C211yesmaximal, characteristic, complemented
23#13125827C211yesmaximal, characteristic, complemented
24#13125050C211yesmaximal, characteristic, complemented
25#13125035C211yesmaximal, characteristic, complemented
26#13125007C211yesmaximal, characteristic, complemented
27#13124386C211yesmaximal, characteristic, complemented
28#13124375C211yesmaximal, characteristic, complemented
29#13124308C211yesmaximal, characteristic, complemented
30#13124006C211yesmaximal, characteristic, complemented
31C13×#3522C211yesmaximal, characteristic, complemented
32C13×#559—21no—
33C13×#559C2211yescharacteristic, complemented
34Q82×C13C2211yescharacteristic, complemented
35C13×#554—21no—
36C13×#554C2211yescharacteristic
37C13×#550C2211yescharacteristic
38C13×#548C2211yescharacteristic
39C13×#548C2211yescharacteristic, complemented
40C13×#547—21no—
41C13×#547—21no—
42C13×#547C2211yescharacteristic
43C13×#547C2211yescharacteristic, complemented
44C13×#542—21no—
45C13×#542—21no—
46C13×#542C2211yescharacteristic
47C13×#542C2211yescharacteristic, complemented
48C13×#532—21no—
49C13×#532C2211yescharacteristic, complemented
50C13×#529—21no—
51C13×#529C2211yescharacteristic
52C13×#520C2211yescharacteristic
53C13×#520C2211yescharacteristic, complemented
54C2×C4×Q8×C13C2211yescharacteristic, complemented
55C2×#88205C2211yescharacteristic, complemented
56C2×#88204C2211yescharacteristic
57C2×#88204C2211yescharacteristic
58C2×#88203C2211yescharacteristic
59C2×#88196C2211yescharacteristic
60C2×#88196C2211yescharacteristic, complemented
61#11719414—21no—
62#11719410—21no—
63#11719397—21no—
64#11719383—21no—
65#11719368—21no—
66#11719362—21no—
67#11719352—21no—
68#11719325—21no—
69#11719290C2211yescharacteristic
70#11719289C2211yescharacteristic
71#11719258C2211yescharacteristic
72#11719257C2211yescharacteristic
73#11719257C2211yescharacteristic
74#11719256C2211yescharacteristic
75#11719255C2211yescharacteristic
76#11719255C2211yescharacteristic
77#11719240C2211yescharacteristic
78#11719231C2211yescharacteristic
79#11719230C2211yescharacteristic
80#11719223C2211yescharacteristic
81#11719184C2211yescharacteristic
82#11719182C2211yescharacteristic
83#11718900C2211yescharacteristic
84#11718900C2211yescharacteristic
85#11718899C2211yescharacteristic
86#11718899C2211yescharacteristic, complemented
87#11718889C2211yescharacteristic, complemented
88#11718888C2211yescharacteristic
89#11718755C2211yescharacteristic, complemented
90#11718755C2211yescharacteristic, complemented
91#11718754C2211yescharacteristic, complemented
92#11718752C2211yescharacteristic, complemented
93#11718750C2211yescharacteristic
94#11718750C2211yescharacteristic
95#11718750C2211yescharacteristic
96#11718750C2211yescharacteristic, complemented
97#11718749C2211yescharacteristic
98#11718748C2211yescharacteristic
99#11718748C2211yescharacteristic, complemented
100#11718745C2211yescharacteristic
101#11718736C2211yescharacteristic, complemented
102#11718735C2211yescharacteristic
103#11718735C2211yescharacteristic, complemented
104#11718733C2211yescharacteristic
105#11718721C2211yescharacteristic, complemented
106#11718720C2211yescharacteristic
107#11718720C2211yescharacteristic
108#11718719C2211yescharacteristic
109#11718718C2211yescharacteristic
110#11718718C2211yescharacteristic, complemented
111#11718715C2211yescharacteristic, complemented
112#11718715C2211yescharacteristic, complemented
113#11718713C2211yescharacteristic
114#11718712C2211yescharacteristic
115#11718711C2211yescharacteristic, complemented
116#11718710C2211yescharacteristic
117#11718709C2211yescharacteristic, complemented
118#11718708C2211yescharacteristic
119#11718708C2211yescharacteristic
120#11718707C2211yescharacteristic
121#11718703C2211yescharacteristic
122#11718703C2211yescharacteristic, complemented
123#11718703C2211yescharacteristic, complemented
124#11718702C2211yescharacteristic
125#11718701C2211yescharacteristic, complemented
126#11718700C2211yescharacteristic
127#11718700C2211yescharacteristic
128#11718700C2211yescharacteristic, complemented
129#11718699C2211yescharacteristic
130#11718698C2211yescharacteristic
131#11718698C2211yescharacteristic
132#11718698C2211yescharacteristic
133#11718698C2211yescharacteristic
134#11718698C2211yescharacteristic, complemented
135#11718698C2211yescharacteristic, complemented
136#11718697C2211yescharacteristic
137#11718692C2211yescharacteristic, complemented
138#11718692C2211yescharacteristic, complemented
139#11718692C2211yescharacteristic, complemented
140#11718691C2211yescharacteristic, complemented
141#11718691C2211yescharacteristic, complemented
142#11718691C2211yescharacteristic, complemented
143C4×#6107C2211yescharacteristic, complemented
144#11718689C2211yescharacteristic
145#11718689C2211yescharacteristic
146#11718689C2211yescharacteristic
147#11718689C2211yescharacteristic
148#11718689C2211yescharacteristic
149#11718689C2211yescharacteristic
150#11718689C2211yescharacteristic, complemented
151#11718689C2211yescharacteristic, complemented
152#11718688C2211yescharacteristic
153#11718688C2211yescharacteristic
154#11718688C2211yescharacteristic
155#11718687C2211yescharacteristic
156#11718687C2211yescharacteristic
157#11718687C2211yescharacteristic, complemented
158C4×#6106C2211yescharacteristic
159#11718685C2211yescharacteristic, complemented
160#11718685C2211yescharacteristic, complemented
161#11718683C2211yescharacteristic, complemented
162#11718683C2211yescharacteristic, complemented
163#11718680C2211yescharacteristic, complemented
164#11718680C2211yescharacteristic, complemented
165#11718680C2211yescharacteristic, complemented
166#11718679C2211yescharacteristic, complemented
167C4×#6105C2211yescharacteristic, complemented
168#11718677C2211yescharacteristic
169#11718677C2211yescharacteristic
170#11718677C2211yescharacteristic
171#11718677C2211yescharacteristic
172#11718676C2211yescharacteristic
173#11718676C2211yescharacteristic
174#11718676C2211yescharacteristic
175#11718675C2211yescharacteristic
176C4×#6104C2211yescharacteristic, complemented
177#11718673C2211yescharacteristic
178#11718673C2211yescharacteristic, complemented
179#11718672C2211yescharacteristic
180#11718672C2211yescharacteristic
181#11718672C2211yescharacteristic
182#11718672C2211yescharacteristic, complemented
183#11718670C2211yescharacteristic, complemented
184#11718670C2211yescharacteristic, complemented
185#11718661C2211yescharacteristic
186#11718661C2211yescharacteristic, complemented
187#11718660C2211yescharacteristic
188#11718660C2211yescharacteristic, complemented
189#11718632C2211yescharacteristic
190#11718631C2211yescharacteristic
191#11718631C2211yescharacteristic, complemented
192C2×#88050C2211yescharacteristic, complemented
193#11718629C2211yescharacteristic
194#11718629C2211yescharacteristic, complemented
195#11718628C2211yescharacteristic
196#11718627C2211yescharacteristic
197#11718627C2211yescharacteristic
198#11718627C2211yescharacteristic
199#11718627C2211yescharacteristic, complemented
200C2×#88049C2211yescharacteristic
201#11718587C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41—21no—
205C2×C13×#41—21no—
206C2×C13×#41C2311yescharacteristic
207C2×C13×#41C2311yescharacteristic
208C22×Q8×C13C2311yescharacteristic
209C2×#6127C2311yescharacteristic
210C2×#6127C2311yescharacteristic
211C2×#6127C2311yescharacteristic
212C2×#6127C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×Dic26C2311yescharacteristic
215C13×C4⋊Q8—21no—
216C13×C4⋊Q8—21no—
217C13×C4⋊Q8—21no—
218C13×C4⋊Q8C2311yescharacteristic
219C13×C4⋊Q8C2311yescharacteristic
220C13×C4⋊Q8C2311yescharacteristic
221C13×#127—21no—
222C13×#127C2311yescharacteristic
223C13×#126—21no—
224C13×#126—21no—
225C13×#126D411yescharacteristic
226C13×#126D411yescharacteristic
227C13×#125—21no—
228C13×#125D411yescharacteristic
229C13×#124—21no—
230C13×#124—21no—
231C13×#124—21no—
232C13×#124—21no—
233C13×#124—21no—
234C13×#124—21no—
235C13×#124D411yescharacteristic
236C13×#124C2311yescharacteristic
237C13×#124C2311yescharacteristic
238C13×#123—21no—
239C13×#123—21no—
240C13×#123—21no—
241C13×#123—21no—
242C13×#123—21no—
243C13×#123—21no—
244C13×#123—21no—
245C13×#123—21no—
246C13×#123D411yescharacteristic
247C13×#123D411yescharacteristic
248C13×C22⋊Q8—21no—
249C13×C22⋊Q8—21no—
250C13×C22⋊Q8—21no—
251C13×C22⋊Q8—21no—
252C13×C22⋊Q8—21no—
253C13×C22⋊Q8—21no—
254C13×C22⋊Q8—21no—
255C13×C22⋊Q8—21no—
256C13×C22⋊Q8D411yescharacteristic
257C13×C22⋊Q8C2311yescharacteristic
258C13×C22⋊Q8C2311yescharacteristic
259C13×#121—21no—
260C13×#121—21no—
261C13×#121—21no—
262C13×#121—21no—
263C13×#121—21no—
264C13×#121D411yescharacteristic
265C13×#121C2311yescharacteristic
266C13×#121C2311yescharacteristic
267C13×#121C2311yescharacteristic
268C13×#121C2311yescharacteristic
269C4×Q8×C13—21no—
270C4×Q8×C13—21no—
271C4×Q8×C13—21no—
272C4×Q8×C13C2311yescharacteristic
273C4×Q8×C13C2311yescharacteristic
274C4×Q8×C13C2311yescharacteristic
275C4×Q8×C13C2311yescharacteristic
276C4×Q8×C13C2311yescharacteristic
277C4×Q8×C13C2311yescharacteristic
278C4×Q8×C13C2311yescharacteristic
279C4×D4×C13—21no—
280C4×D4×C13—21no—
281C4×D4×C13—21no—
282C4×D4×C13—21no—
283C4×D4×C13—21no—
284C4×D4×C13—21no—
285C4×D4×C13—21no—
286C4×D4×C13—21no—
287C4×D4×C13—21no—
288C4×D4×C13—21no—
289C4×D4×C13C2311yescharacteristic
290C4×D4×C13C2311yescharacteristic
291C4×D4×C13C2311yescharacteristic
292C4×D4×C13C2311yescharacteristic
293C4×D4×C13C2311yescharacteristic
294C4×D4×C13C2311yescharacteristic
295C4×D4×C13C2311yescharacteristic
296C13×#117—21no—
297C13×#117—21no—
298C13×#117C2311yescharacteristic
299C13×#117C2311yescharacteristic
300C2×C13×C4⋊C4—21no—
301C2×C13×C4⋊C4—21no—
302C2×C13×C4⋊C4—21no—
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C4⋊C4C2311yescharacteristic
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C42×C13—21no—
307C2×C42×C13C2311yescharacteristic
308#88205—42no—
309#88204—42no—
310#88204—42no—
311#88203—42no—
312#88201—21no—
313#88200—21no—
314C2×#6107C2311yescharacteristic
315C2×#6107C2311yescharacteristic
316C2×#6107C2311yescharacteristic
317C2×#6107C2311yescharacteristic
318C2×#6107C2311yescharacteristic
319C2×#6107C2311yescharacteristic
320#88196—42no—
321#88196—42no—
322C2×#6106C2311yescharacteristic
323C2×#6106C2311yescharacteristic
324C2×#6106C2311yescharacteristic
325C2×#6106C2311yescharacteristic
326C2×#6106C2311yescharacteristic
327C2×#6106C2311yescharacteristic
328#88194—21no—
329#88193—21no—
330#88193—21no—
331#88192—21no—
332#88191—21no—
333#88191—21no—
334C2×#6105C2311yescharacteristic
335C2×#6105C2311yescharacteristic
336C2×#6105C2311yescharacteristic
337C2×#6105C2311yescharacteristic
338C2×#6105C2311yescharacteristic
339C2×#6105C2311yescharacteristic
340C2×#6104C2311yescharacteristic
341C2×#6104C2311yescharacteristic
342C2×#6104C2311yescharacteristic
343C2×#6104C2311yescharacteristic
344C2×#6104C2311yescharacteristic
345C2×#6104C2311yescharacteristic
346#88184—21no—
347#88184—21no—
348#88184C2311yescharacteristic
349#88184C2311yescharacteristic
350#88184C2311yescharacteristic
351#88183—21no—
352C4×C22⋊D13—21no—
353#88178C2311yescharacteristic
354#88178C2311yescharacteristic
355#88178C2311yescharacteristic
356C2×#6099C2311yescharacteristic
357C2×#6099C2311yescharacteristic
358C2×#6099C2311yescharacteristic
359C2×#6099C2311yescharacteristic
360C22×#1055C2311yescharacteristic
361C22×#1055C2311yescharacteristic
362#88152—21no—
363#88152—21no—
364#88151—21no—
365#88151—21no—
366#88150—21no—
367#88150—21no—
368#88149—21no—
369#88149—21no—
370#88148—21no—
371#88148—21no—
372#88148—21no—
373#88148—21no—
374#88148—21no—
375#88148—21no—
376#88147—21no—
377#88147—21no—
378#88146—21no—
379C4⋊C4×D13—21no—
380#88143—21no—
381#88143—21no—
382#88140—21no—
383#88140—21no—
384#88139—21no—
385#88139—21no—
386#88138—21no—
387#88138—21no—
388#88138—21no—
389#88138—21no—
390#88138—21no—
391#88138—21no—
392#88137—21no—
393#88137—21no—
394#88136—21no—
395#88136—21no—
396#88135—21no—
397#88135—21no—
398C22⋊C4×D13—21no—
399C22⋊C4×D13—21no—
400#88133—21no—
401#88133—21no—
402#88130—21no—
403#88129C2311yescharacteristic
404#88129C2311yescharacteristic
405#88129C2311yescharacteristic
406#88129C2311yescharacteristic
407#88129C2311yescharacteristic
408#88128C2311yescharacteristic
409#88128C2311yescharacteristic
410C4×D52—21no—
411C4×D52—21no—
412C4×D52C2311yescharacteristic
413C4×D52C2311yescharacteristic
414C4×D52C2311yescharacteristic
415#88126—21no—
416#88124C2311yescharacteristic
417#88123C2311yescharacteristic
418#88123C2311yescharacteristic
419C4×Dic26C2311yescharacteristic
420C4×Dic26C2311yescharacteristic
421C4×Dic26C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88072C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433C22⋊#1055C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436#88050C2311yescharacteristic
437#88050C2311yescharacteristic
438#88050C2311yescharacteristic
439#88050C2311yescharacteristic
440#88050C2311yescharacteristic
441#88050C2311yescharacteristic
442#88050C2311yescharacteristic
443#88050C2311yescharacteristic
444#88050C2311yescharacteristic
445#88050C2311yescharacteristic
446#88050C2311yescharacteristic
447#88050C2311yescharacteristic
448#88049C2311yescharacteristic
449#88049C2311yescharacteristic
450#88049C2311yescharacteristic
451#88049C2311yescharacteristic
452#88049C2311yescharacteristic
453#88049C2311yescharacteristic
454#88049C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88047C2311yescharacteristic
465#88047C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471C4⋊#1055C2311yescharacteristic
472C4⋊#1055C2311yescharacteristic
473C4⋊#1055C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476C4⋊#1055C2311yescharacteristic
477C4⋊#1055C2311yescharacteristic
478#88043C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#88043C2311yescharacteristic
482C4×#1055C2311yescharacteristic
483C4×#1055C2311yescharacteristic
484#62078—131nomaximal, Sylow
485C23×D13—21no—
486C13×#41—22no—
487C13×#41—22no—
488C13×#41—41no—
489C13×#41—41no—
490C13×#41—82no—
491C13×#41—82no—
492C13×#41—82no—
493C2×Q8×C13—21no—
494C2×Q8×C13—21no—
495C2×Q8×C13—21no—
496C2×Q8×C13—21no—
497C2×Q8×C13—22no—
498C2×Q8×C13—41no—
499C2×Q8×C13C2×D411yescharacteristic
500C2×Q8×C13C2411yescharacteristic
501C2×Q8×C13C2411yescharacteristic
502C2×D4×C13—21no—
503C2×D4×C13—21no—
504C2×D4×C13—21no—
505C2×D4×C13—21no—
506C2×D4×C13—21no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13C2×D411yescharacteristic
511C2×D4×C13C2×D411yescharacteristic
512C2×D4×C13C2×D411yescharacteristic
513C2×D4×C13C2411yescharacteristic
514C2×D4×C13C2411yescharacteristic
515C22×C4×C13—21no—
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13—21no—
519C22×C4×C13—21no—
520C22×C4×C13—21no—
521C22×C4×C13—21no—
522C22×C4×C13—21no—
523C22×C4×C13—21no—
524C22×C4×C13—21no—
525C22×C4×C13C2×D411yescharacteristic
526C22×C4×C13C2×D411yescharacteristic
527C22×C4×C13C2411yescharacteristic
528C22×C4×C13C2411yescharacteristic
529C22×C4×C13C2411yescharacteristic
530C2×C22⋊D13—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—21no—
537C22×Dic13—21no—
538#6127—41no—
539#6127—41no—
540#6127—41no—
541#6127—41no—
542#6127—41no—
543#6127—41no—
544#6127—41no—
545#6127—41no—
546C2×D52—21no—
547C2×D52—21no—
548C2×D52—21no—
549C2×D52—21no—
550C2×D52—21no—
551C2×D52—41no—
552C2×D52—41no—
553C2×D52C2411yescharacteristic
554C2×D52C2411yescharacteristic
555C2×D52C2411yescharacteristic
556C2×C4×D13—21no—
557C2×C4×D13—21no—
558C2×C4×D13—21no—
559C2×C4×D13—21no—
560C2×C4×D13—21no—
561C2×C4×D13—21no—
562C2×C4×D13—21no—
563C2×Dic26—21no—
564C2×Dic26—41no—
565C2×Dic26—41no—
566C2×Dic26C2411yescharacteristic
567C2×Dic26C2411yescharacteristic
568C2×Dic26C2411yescharacteristic
569C13×C4⋊C4—21no—
570C13×C4⋊C4—21no—
571C13×C4⋊C4—21no—
572C13×C4⋊C4—21no—
573C13×C4⋊C4—21no—
574C13×C4⋊C4—21no—
575C13×C4⋊C4—21no—
576C13×C4⋊C4—21no—
577C13×C4⋊C4—21no—
578C13×C4⋊C4—21no—
579C13×C4⋊C4—21no—
580C13×C4⋊C4—21no—
581C13×C4⋊C4—21no—
582C13×C4⋊C4—21no—
583C13×C4⋊C4C2×D411yescharacteristic
584C13×C4⋊C4C2×D411yescharacteristic
585C13×C4⋊C4C2×D411yescharacteristic
586C13×C4⋊C4C2×D411yescharacteristic
587C13×C4⋊C4C2×D411yescharacteristic
588C13×C4⋊C4C2×D411yescharacteristic
589C13×C4⋊C4C2×D411yescharacteristic
590C13×C4⋊C4C2×D411yescharacteristic
591C13×C4⋊C4C2×D411yescharacteristic
592C13×C4⋊C4C2×D411yescharacteristic
593C13×C4⋊C4C2411yescharacteristic
594C13×C4⋊C4C2411yescharacteristic
595C13×C4⋊C4C2411yescharacteristic
596C13×C4⋊C4C2411yescharacteristic
597C13×C22⋊C4—21no—
598C13×C22⋊C4—21no—
599C13×C22⋊C4—21no—
600C13×C22⋊C4—21no—
601C13×C22⋊C4—21no—
602C13×C22⋊C4—21no—
603C13×C22⋊C4—21no—
604C13×C22⋊C4—21no—
605C13×C22⋊C4—21no—
606C13×C22⋊C4—21no—
607C13×C22⋊C4—21no—
608C13×C22⋊C4—21no—
609C13×C22⋊C4—21no—
610C13×C22⋊C4—21no—
611C13×C22⋊C4C2×D411yescharacteristic
612C13×C22⋊C4C2×D411yescharacteristic
613C13×C22⋊C4C2×D411yescharacteristic
614C13×C22⋊C4C2×D411yescharacteristic
615C13×C22⋊C4C2×D411yescharacteristic
616C13×C22⋊C4C2×D411yescharacteristic
617C13×C22⋊C4C2×D411yescharacteristic
618C13×C22⋊C4C2×D411yescharacteristic
619C13×C22⋊C4C2×D411yescharacteristic
620C13×C22⋊C4C2×D411yescharacteristic
621C42×C13—21no—
622C42×C13—21no—
623C42×C13—21no—
624C42×C13—21no—
625C42×C13—21no—
626C42×C13—21no—
627C42×C13C2×D411yescharacteristic
628C42×C13C2×D411yescharacteristic
629C42×C13C2411yescharacteristic
630C42×C13C2411yescharacteristic
631C42×C13C2411yescharacteristic
632C42×C13C2411yescharacteristic
633C22⋊Dic13—21no—
634C22⋊Dic13—21no—
635C22⋊Dic13—21no—
636#6107—22no—
637#6107—22no—
638#6107—22no—
639#6107—41no—
640#6107—41no—
641#6107—41no—
642#6106—22no—
643#6106—22no—
644#6106—22no—
645#6106—41no—
646#6106—41no—
647#6106—41no—
648#6105—41no—
649#6105—41no—
650#6105—41no—
651#6105—41no—
652#6105—41no—
653#6105—41no—
654#6104—41no—
655#6104—41no—
656#6104—41no—
657#6104—41no—
658#6104—41no—
659#6104—41no—
660#6103—21no—
661#6103—21no—
662#6103—21no—
663#6103—21no—
664#6103—21no—
665#6103—21no—
666#6103—21no—
667#6103—21no—
668#6103—21no—
669#6103—21no—
670#6103—21no—
671#6103—21no—
672#6103—21no—
673#6103—21no—
674#6103—21no—
675#6103—21no—
676C4⋊Dic13—21no—
677C4⋊Dic13—21no—
678C4⋊Dic13—21no—
679C4⋊Dic13—21no—
680C4⋊Dic13C2411yescharacteristic
681C4⋊Dic13C2411yescharacteristic
682#6101—21no—
683#6101—21no—
684#6101—21no—
685#6101—21no—
686#6101—21no—
687#6101—21no—
688#6101—21no—
689#6101—21no—
690C4×Dic13—21no—
691C4×Dic13—21no—
692C4×Dic13—21no—
693#6099—41no—
694#6099—41no—
695#6099—41no—
696#6099—41no—
697C2×#1055—41no—
698C2×#1055—41no—
699C2×#1055C2411yescharacteristic
700C2×#1055C2411yescharacteristic
701C2×#1055C2411yescharacteristic
702C2×#1055C2411yescharacteristic
703C2×#1055C2411yescharacteristic
704C2×#1055C2411yescharacteristic
705C2×#1055C2411yescharacteristic
706C2×#1055C2411yescharacteristic
707#3562—131no—
708#3522D1311yescharacteristic, complemented
709#3403—131no—
710#3401—131no—
711#3375—131no—
712#3369—131no—
713#3332—131no—
714#3330—131no—
715#3316—131no—
716#3314—131no—
717#3308—131no—
718#3306—131no—
719#3277—131no—
720#3275—131no—
721#3271—131no—
722#3271—131no—
723#3269—131no—
724#3268—131no—
725#3258—131no—
726#3257—131no—
727#3251—131no—
728#3225—131no—
729#3224—131no—
730#3214—131no—
731#3120—131no—
732#3119—131no—
733#3117—131no—
734#3046—131no—
735#3045—131no—
736#3037—131no—
737#2995—131no—
738C23×C13—21no—
739C23×C13—21no—
740C23×C13C22×D411yescharacteristic
741C23×C13C22×D411yescharacteristic
742C23×C13C22×D411yescharacteristic
743C22×D13—21no—
744C22×D13—21no—
745C22×D13—21no—
746C22×D13—81no—
747C22×D13—81no—
748C22×D13—81no—
749Q8×C13—21no—
750Q8×C13—21no—
751Q8×C13—21no—
752Q8×C13—41no—
753Q8×C13—42no—
754Q8×C13—81no—
755Q8×C13—81no—
756Q8×C13—81no—
757Q8×C13H(5,𝔽2)12yes—
758D4×C13—21no—
759D4×C13—21no—
760D4×C13—21no—
761D4×C13—21no—
762D4×C13—41no—
763D4×C13—41no—
764D4×C13—41no—
765D4×C13—42no—
766D4×C13—42no—
767D4×C13—42no—
768D4×C13—42no—
769D4×C13—42no—
770D4×C13—81no—
771D4×C13—81no—
772D4×C13—81no—
773C2×C4×C13—21no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—21no—
777C2×C4×C13—21no—
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—21no—
785C2×C4×C13—41no—
786C2×C4×C13—41no—
787C2×C4×C13—42no—
788C2×C4×C13—42no—
789C2×C4×C13—42no—
790C2×C4×C13—42no—
791C2×C4×C13—81no—
792C2×C4×C13—81no—
793C2×C4×C13—81no—
794C2×C4×C13—81no—
795C2×C4×C13—81no—
796C2×C4×C13—81no—
797C2×C4×C13C22×D411yescharacteristic
798C2×C4×C13C22×D411yescharacteristic
799C2×C4×C13C22×D411yescharacteristic
800C2×C4×C13C22×D411yescharacteristic
801C2×C4×C13C22×D411yescharacteristic
802C2×C4×C13C22×D411yescharacteristic
803C2×C4×C13C22×D411yescharacteristic
804C2×C4×C13C22×D411yescharacteristic
805C2×C4×C13C22×D411yescharacteristic
806C2×C4×C13C22×D411yescharacteristic
807C2×C4×C13C22×D411yescharacteristic
808C2×C4×C13C2511yescharacteristic
809C22⋊D13—81no—
810C22⋊D13—81no—
811C22⋊D13—81no—
812C22⋊D13—81no—
813C22⋊D13—81no—
814C22⋊D13—81no—
815C22⋊D13—81no—
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—21no—
820C2×Dic13—21no—
821C2×Dic13—81no—
822D52—21no—
823D52—21no—
824D52—21no—
825D52—21no—
826D52—21no—
827D52—21no—
828D52—81no—
829D52—81no—
830D52—81no—
831D52—81no—
832D52—81no—
833C4×D13—81no—
834C4×D13—81no—
835C4×D13—81no—
836C4×D13—81no—
837C4×D13—81no—
838C4×D13—81no—
839C4×D13—81no—
840Dic26—21no—
841Dic26—21no—
842Dic26—21no—
843Dic26—21no—
844Dic26—21no—
845Dic26—21no—
846Dic26—81no—
847#1055—21no—
848#1055—21no—
849#1055—21no—
850#1055—21no—
851#1055—21no—
852#1055—21no—
853#1055—21no—
854#1055—21no—
855C2×#137—131no—
856C2×#137—131no—
857C2×#137—131no—
858C2×AGL(1,ℤ/8)—131no—
859C2×#135—131no—
860C2×#135—131no—
861#562—261no—
862#560—261no—
863#559—21no—
864#559—131no—
865#559C2×D1311yescharacteristic, complemented
866Q82C2×D1311yescharacteristic, complemented
867#556—131no—
868#554—21no—
869#554C2×D1311yescharacteristic
870#553—261no—
871#551—261no—
872#550—131no—
873#550C2×D1311yescharacteristic
874#548—131no—
875#548—131no—
876#548C2×D1311yescharacteristic
877#548C2×D1311yescharacteristic, complemented
878#547—21no—
879#547—21no—
880#547—131no—
881#547C2×D1311yescharacteristic
882#547C2×D1311yescharacteristic, complemented
883#546—131no—
884#546—131no—
885#542—21no—
886#542—21no—
887#542C2×D1311yescharacteristic
888#542C2×D1311yescharacteristic, complemented
889#541—131no—
890#540—131no—
891#540—261no—
892#539—261no—
893#538—261no—
894#538—261no—
895#536—131no—
896#535—131no—
897#532—21no—
898#532—131no—
899#532C2×D1311yescharacteristic, complemented
900#529—21no—
901#529—131no—
902#529C2×D1311yescharacteristic
903#520C2×D1311yescharacteristic
904#520C2×D1311yescharacteristic, complemented
905C2×C4×Q8C2×D1311yescharacteristic, complemented
906#497—131no—
907#496—131no—
908#496—131no—
909#496—131no—
910#495—131no—
911#495—131no—
912#489—131no—
913#489—131no—
914#489—131no—
915#489—131no—
916#487—131no—
917#486—131no—
918#484—131no—
919#484—131no—
920#483—131no—
921#481—131no—
922#481—131no—
923#480—131no—
924#479—131no—
925#479—131no—
926#478—131no—
927#478—131no—
928#477—131no—
929#476—131no—
930#475—131no—
931#475—131no—
932#474—131no—
933#474—131no—
934#470—131no—
935#469—131no—
936#469—131no—
937#469—131no—
938#468—131no—
939#468—131no—
940#468—131no—
941#468—131no—
942#467—131no—
943#466—131no—
944#465—131no—
945#465—131no—
946#464—131no—
947#464—131no—
948#464—131no—
949#464—131no—
950#464—131no—
951#464—131no—
952#464—131no—
953#464—131no—
954#464—131no—
955#464—131no—
956#463—131no—
957#463—131no—
958#463—131no—
959#463—131no—
960#463—131no—
961#463—131no—
962#462—131no—
963#462—131no—
964#462—131no—
965#461—131no—
966#461—131no—
967#461—131no—
968#460—131no—
969#460—131no—
970#460—131no—
971#460—131no—
972#459—131no—
973#459—131no—
974#459—131no—
975#459—131no—
976#452—131no—
977#452—131no—
978#452—131no—
979#452—131no—
980#451—131no—
981#451—131no—
982#450—131no—
983#449—131no—
984#449—131no—
985#449—131no—
986#449—131no—
987#449—131no—
988#449—131no—
989#449—131no—
990#449—131no—
991#448—131no—
992#448—131no—
993#447—131no—
994#446—131no—
995#446—131no—
996#442—131no—
997#441—131no—
998#441—131no—
999#441—131no—
1000#440—131no—
1001#440—131no—
1002#440—131no—
1003#440—131no—
1004C4×Q16—131no—
1005C4×SD16—131no—
1006C4×SD16—131no—
1007C4×D8—131no—
1008#436—131no—
1009#436—131no—
1010#435—131no—
1011#435—131no—
1012#435—131no—
1013#435—131no—
1014#433—131no—
1015#433—131no—
1016#432—131no—
1017#424—131no—
1018#424—131no—
1019#423—131no—
1020#417—131no—
1021#417—131no—
1022#417—131no—
1023#417—131no—
1024C2×#103—131no—
1025C2×#102—131no—
1026C22×C13—21no—
1027C22×C13—21no—
1028C22×C13—21no—
1029C22×C13—21no—
1030C22×C13—21no—
1031C22×C13—21no—
1032C22×C13—21no—
1033C22×C13—21no—
1034C22×C13—21no—
1035C22×C13—41no—
1036C22×C13—41no—
1037C22×C13—41no—
1038C22×C13—41no—
1039C22×C13—41no—
1040C22×C13—41no—
1041C22×C13C23×D411yescharacteristic
1042C2×D13—41no—
1043C2×D13—41no—
1044C2×D13—41no—
1045C2×D13—41no—
1046C2×D13—41no—
1047C2×D13—41no—
1048C2×D13—41no—
1049C2×D13—41no—
1050C2×D13—41no—
1051C2×D13—162no—
1052C4×C13—21no—
1053C4×C13—21no—
1054C4×C13—21no—
1055C4×C13—21no—
1056C4×C13—21no—
1057C4×C13—21no—
1058C4×C13—21no—
1059C4×C13—21no—
1060C4×C13—21no—
1061C4×C13—21no—
1062C4×C13—21no—
1063C4×C13—22no—
1064C4×C13—41no—
1065C4×C13—41no—
1066C4×C13—41no—
1067C4×C13—41no—
1068C4×C13—41no—
1069C4×C13C2×H(5,𝔽2)11yescharacteristic
1070C4×C13#58511yescharacteristic
1071Dic13—41no—
1072Dic13—41no—
1073Dic13—41no—
1074Dic13—41no—
1075Dic13—41no—
1076C2×#41—21no—
1077C2×#41—21no—
1078C2×#41—21no—
1079C2×#41—131no—
1080C2×#41—131no—
1081C2×#41—131no—
1082C2×#41—131no—
1083C2×#41C22×D1311yescharacteristic
1084C2×#41C22×D1311yescharacteristic
1085C22×Q8—131no—
1086C22×Q8C22×D1311yescharacteristic
1087C22×D4—131no—
1088#137—522no—
1089#137—522no—
1090#137—522no—
1091AGL(1,ℤ/8)—522no—
1092#135—522no—
1093#135—522no—
1094C2×Q16—131no—
1095C2×Q16—131no—
1096C2×Q16—131no—
1097C2×Q16—131no—
1098C2×Q16—131no—
1099C2×Q16—131no—
1100C2×SD16—131no—
1101C2×SD16—131no—
1102C2×SD16—131no—
1103C2×SD16—131no—
1104C2×SD16—131no—
1105C2×SD16—131no—
1106C2×SD16—131no—
1107C2×SD16—131no—
1108C2×SD16—131no—
1109C2×SD16—131no—
1110C2×SD16—131no—
1111C2×SD16—131no—
1112C2×D8—131no—
1113C2×D8—131no—
1114C2×D8—131no—
1115C2×D8—131no—
1116C2×D8—131no—
1117C2×D8—131no—
1118C2×M16—131no—
1119C2×M16—131no—
1120C2×M16—131no—
1121C2×M16—131no—
1122C22×C8—131no—
1123C22×C8—131no—
1124C4⋊Q8—21no—
1125C4⋊Q8—21no—
1126C4⋊Q8—21no—
1127C4⋊Q8—131no—
1128C4⋊Q8—131no—
1129C4⋊Q8C22×D1311yescharacteristic
1130C4⋊Q8C22×D1311yescharacteristic
1131C4⋊Q8C22×D1311yescharacteristic
1132#127—21no—
1133#127—131no—
1134#127—131no—
1135#127—261no—
1136#127C22×D1311yescharacteristic
1137#126—21no—
1138#126—21no—
1139#126—261no—
1140#126—261no—
1141#126—261no—
1142#126—261no—
1143#126—261no—
1144#126C22⋊D1311yescharacteristic
1145#126C22⋊D1311yescharacteristic
1146#125—21no—
1147#125—131no—
1148#125—261no—
1149#125—261no—
1150#125C22⋊D1311yescharacteristic
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124—21no—
1155#124—21no—
1156#124—21no—
1157#124—131no—
1158#124—131no—
1159#124—131no—
1160#124—131no—
1161#124—131no—
1162#124—261no—
1163#124—261no—
1164#124—261no—
1165#124C22⋊D1311yescharacteristic
1166#124C22×D1311yescharacteristic
1167#124C22×D1311yescharacteristic
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—261no—
1177#123—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#123C22⋊D1311yescharacteristic
1188#123C22⋊D1311yescharacteristic
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—131no—
1198C22⋊Q8—131no—
1199C22⋊Q8—131no—
1200C22⋊Q8—261no—
1201C22⋊Q8—261no—
1202C22⋊Q8—261no—
1203C22⋊Q8—261no—
1204C22⋊Q8—261no—
1205C22⋊Q8C22⋊D1311yescharacteristic
1206C22⋊Q8C22×D1311yescharacteristic
1207C22⋊Q8C22×D1311yescharacteristic
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—131no—
1214#121—131no—
1215#121—131no—
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#121—261no—
1229#121C22⋊D1311yescharacteristic
1230#121C22×D1311yescharacteristic
1231#121C22×D1311yescharacteristic
1232#121C22×D1311yescharacteristic
1233#121C22×D1311yescharacteristic
1234#120—261no—
1235#120—261no—
1236#120—261no—
1237#120—261no—
1238C4×Q8—21no—
1239C4×Q8—21no—
1240C4×Q8—21no—
1241C4×Q8—131no—
1242C4×Q8—131no—
1243C4×Q8—131no—
1244C4×Q8C22×D1311yescharacteristic
1245C4×Q8C22×D1311yescharacteristic
1246C4×Q8C22×D1311yescharacteristic
1247C4×Q8C22×D1311yescharacteristic
1248C4×Q8C22×D1311yescharacteristic
1249C4×Q8C22×D1311yescharacteristic
1250C4×Q8C22×D1311yescharacteristic
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—131no—
1262C4×D4—131no—
1263C4×D4—131no—
1264C4×D4—261no—
1265C4×D4—261no—
1266C4×D4—261no—
1267C4×D4—261no—
1268C4×D4—261no—
1269C4×D4—261no—
1270C4×D4—261no—
1271C4×D4C22×D1311yescharacteristic
1272C4×D4C22×D1311yescharacteristic
1273C4×D4C22×D1311yescharacteristic
1274C4×D4C22×D1311yescharacteristic
1275C4×D4C22×D1311yescharacteristic
1276C4×D4C22×D1311yescharacteristic
1277C4×D4C22×D1311yescharacteristic
1278#117—21no—
1279#117—21no—
1280#117—261no—
1281#117—261no—
1282#117C22×D1311yescharacteristic
1283#117C22×D1311yescharacteristic
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4—21no—
1287C2×C4⋊C4—261no—
1288C2×C4⋊C4C22×D1311yescharacteristic
1289C2×C4⋊C4C22×D1311yescharacteristic
1290C2×C4⋊C4C22×D1311yescharacteristic
1291C2×C22⋊C4—261no—
1292C2×C22⋊C4—261no—
1293C2×C42—21no—
1294C2×C42C22×D1311yescharacteristic
1295#107—131no—
1296#107—131no—
1297#107—131no—
1298#107—131no—
1299#106—131no—
1300#106—131no—
1301#106—131no—
1302#106—131no—
1303C4⋊C8—131no—
1304C4⋊C8—131no—
1305C4⋊C8—131no—
1306C4⋊C8—131no—
1307C4⋊C8—131no—
1308C4⋊C8—131no—
1309C4⋊C8—131no—
1310C4⋊C8—131no—
1311C4⋊C8—131no—
1312C4⋊C8—131no—
1313#103—131no—
1314#103—131no—
1315#103—131no—
1316#103—131no—
1317#103—131no—
1318#103—131no—
1319#103—131no—
1320#103—131no—
1321#103—131no—
1322#103—131no—
1323#103—131no—
1324#103—131no—
1325#103—131no—
1326#103—131no—
1327#103—131no—
1328#103—131no—
1329#102—131no—
1330#102—131no—
1331#102—131no—
1332#102—131no—
1333#102—131no—
1334#102—131no—
1335#102—131no—
1336#102—131no—
1337#102—131no—
1338#102—131no—
1339#102—131no—
1340#102—131no—
1341#102—131no—
1342#102—131no—
1343#102—131no—
1344#102—131no—
1345C22⋊C8—131no—
1346C22⋊C8—131no—
1347C22⋊C8—131no—
1348C22⋊C8—131no—
1349C22⋊C8—131no—
1350C22⋊C8—131no—
1351#97—131no—
1352#97—131no—
1353#97—131no—
1354#97—131no—
1355C4×C8—131no—
1356C4×C8—131no—
1357C2×C13—41no—
1358C2×C13—41no—
1359C2×C13—41no—
1360C2×C13—81no—
1361C2×C13—81no—
1362C2×C13#348811yescharacteristic
1363C2×C13#358511yescharacteristic
1364C2×C13#358611yescharacteristic
1365D13—81no—
1366D13—81no—
1367D13—81no—
1368C24—261no—
1369#41—22no—
1370#41—22no—
1371#41—41no—
1372#41—41no—
1373#41—82no—
1374#41—82no—
1375#41—82no—
1376#41—521no—
1377#41—521no—
1378#41—521no—
1379#41—521no—
1380#41—521no—
1381#41—521no—
1382#41—521no—
1383#41—521no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—22no—
1389C2×Q8—41no—
1390C2×Q8—131no—
1391C2×Q8—131no—
1392C2×Q8—131no—
1393C2×Q8—261no—
1394C2×Q8—521no—
1395C2×Q8—521no—
1396C2×Q8C2×C22⋊D1311yescharacteristic
1397C2×Q8C23×D1311yescharacteristic
1398C2×Q8C23×D1311yescharacteristic
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—131no—
1408C2×D4—131no—
1409C2×D4—131no—
1410C2×D4—261no—
1411C2×D4—261no—
1412C2×D4—261no—
1413C2×D4—261no—
1414C2×D4—261no—
1415C2×D4—261no—
1416C2×D4—261no—
1417C2×D4—261no—
1418C2×D4—261no—
1419C2×D4—261no—
1420C2×D4—261no—
1421C2×D4—261no—
1422C2×D4—521no—
1423C2×D4—521no—
1424C2×D4C2×C22⋊D1311yescharacteristic
1425C2×D4C2×C22⋊D1311yescharacteristic
1426C2×D4C2×C22⋊D1311yescharacteristic
1427C2×D4C23×D1311yescharacteristic
1428C2×D4C23×D1311yescharacteristic
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—261no—
1440C22×C4—261no—
1441C22×C4—261no—
1442C22×C4—261no—
1443C22×C4—261no—
1444C22×C4—261no—
1445C22×C4—261no—
1446C22×C4—261no—
1447C22×C4C2×C22⋊D1311yescharacteristic
1448C22×C4C2×C22⋊D1311yescharacteristic
1449C22×C4C23×D1311yescharacteristic
1450C22×C4C23×D1311yescharacteristic
1451C22×C4C23×D1311yescharacteristic
1452Q16—262no—
1453Q16—262no—
1454Q16—262no—
1455Q16—521no—
1456Q16—521no—
1457Q16—521no—
1458SD16—262no—
1459SD16—262no—
1460SD16—262no—
1461SD16—521no—
1462SD16—521no—
1463SD16—521no—
1464SD16—521no—
1465SD16—521no—
1466SD16—521no—
1467SD16—521no—
1468SD16—521no—
1469SD16—521no—
1470D8—521no—
1471D8—521no—
1472D8—521no—
1473D8—521no—
1474D8—521no—
1475D8—521no—
1476M16—521no—
1477M16—521no—
1478M16—521no—
1479M16—521no—
1480C2×C8—131no—
1481C2×C8—131no—
1482C2×C8—131no—
1483C2×C8—131no—
1484C2×C8—131no—
1485C2×C8—131no—
1486C2×C8—131no—
1487C2×C8—131no—
1488C2×C8—521no—
1489C2×C8—521no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—131no—
1505C4⋊C4—131no—
1506C4⋊C4—261no—
1507C4⋊C4—261no—
1508C4⋊C4—261no—
1509C4⋊C4—261no—
1510C4⋊C4—261no—
1511C4⋊C4—261no—
1512C4⋊C4—261no—
1513C4⋊C4—261no—
1514C4⋊C4—261no—
1515C4⋊C4—261no—
1516C4⋊C4—261no—
1517C4⋊C4—261no—
1518C4⋊C4C2×C22⋊D1311yescharacteristic
1519C4⋊C4C2×C22⋊D1311yescharacteristic
1520C4⋊C4C2×C22⋊D1311yescharacteristic
1521C4⋊C4C2×C22⋊D1311yescharacteristic
1522C4⋊C4C2×C22⋊D1311yescharacteristic
1523C4⋊C4C2×C22⋊D1311yescharacteristic
1524C4⋊C4C2×C22⋊D1311yescharacteristic
1525C4⋊C4C2×C22⋊D1311yescharacteristic
1526C4⋊C4C2×C22⋊D1311yescharacteristic
1527C4⋊C4C2×C22⋊D1311yescharacteristic
1528C4⋊C4C23×D1311yescharacteristic
1529C4⋊C4C23×D1311yescharacteristic
1530C4⋊C4C23×D1311yescharacteristic
1531C4⋊C4C23×D1311yescharacteristic
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—261no—
1547C22⋊C4—261no—
1548C22⋊C4—261no—
1549C22⋊C4—261no—
1550C22⋊C4—261no—
1551C22⋊C4—261no—
1552C22⋊C4—261no—
1553C22⋊C4—261no—
1554C22⋊C4—261no—
1555C22⋊C4—261no—
1556C22⋊C4—261no—
1557C22⋊C4—261no—
1558C22⋊C4—261no—
1559C22⋊C4—261no—
1560C22⋊C4—261no—
1561C22⋊C4—261no—
1562C22⋊C4—261no—
1563C22⋊C4—261no—
1564C22⋊C4—261no—
1565C22⋊C4C2×C22⋊D1311yescharacteristic
1566C22⋊C4C2×C22⋊D1311yescharacteristic
1567C22⋊C4C2×C22⋊D1311yescharacteristic
1568C22⋊C4C2×C22⋊D1311yescharacteristic
1569C22⋊C4C2×C22⋊D1311yescharacteristic
1570C22⋊C4C2×C22⋊D1311yescharacteristic
1571C22⋊C4C2×C22⋊D1311yescharacteristic
1572C22⋊C4C2×C22⋊D1311yescharacteristic
1573C22⋊C4C2×C22⋊D1311yescharacteristic
1574C22⋊C4C2×C22⋊D1311yescharacteristic
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—261no—
1582C42—261no—
1583C42—261no—
1584C42C2×C22⋊D1311yescharacteristic
1585C42C2×C22⋊D1311yescharacteristic
1586C42C23×D1311yescharacteristic
1587C42C23×D1311yescharacteristic
1588C42C23×D1311yescharacteristic
1589C42C23×D1311yescharacteristic
1590C13#6207811yescharacteristic, complemented, Sylow
1591C23—21no—
1592C23—21no—
1593C23—261no—
1594C23—261no—
1595C23—261no—
1596C23—1041no—
1597C23—1041no—
1598C23—1041no—
1599C23C22×C22⋊D1311yescharacteristic
1600C23C22×C22⋊D1311yescharacteristic
1601C23C22×C22⋊D1311yescharacteristic
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—41no—
1606Q8—42no—
1607Q8—81no—
1608Q8—81no—
1609Q8—81no—
1610Q8—261no—
1611Q8—261no—
1612Q8—261no—
1613Q8—261no—
1614Q8—261no—
1615Q8—261no—
1616Q8—1041no—
1617Q8#8825612yes—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—42no—
1626D4—42no—
1627D4—42no—
1628D4—42no—
1629D4—42no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—261no—
1634D4—261no—
1635D4—261no—
1636D4—261no—
1637D4—261no—
1638D4—261no—
1639D4—1041no—
1640D4—1041no—
1641D4—1041no—
1642D4—1041no—
1643D4—1041no—
1644D4—1041no—
1645D4—1041no—
1646D4—1041no—
1647D4—1041no—
1648D4—1041no—
1649D4—1041no—
1650D4—1041no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—261no—
1676C2×C4—261no—
1677C2×C4—261no—
1678C2×C4—261no—
1679C2×C4—261no—
1680C2×C4—1041no—
1681C2×C4—1041no—
1682C2×C4—1041no—
1683C2×C4—1041no—
1684C2×C4—1041no—
1685C2×C4—1041no—
1686C2×C4—1041no—
1687C2×C4—1041no—
1688C2×C4C22×C22⋊D1311yescharacteristic
1689C2×C4C22×C22⋊D1311yescharacteristic
1690C2×C4C22×C22⋊D1311yescharacteristic
1691C2×C4C22×C22⋊D1311yescharacteristic
1692C2×C4C22×C22⋊D1311yescharacteristic
1693C2×C4C22×C22⋊D1311yescharacteristic
1694C2×C4C22×C22⋊D1311yescharacteristic
1695C2×C4C22×C22⋊D1311yescharacteristic
1696C2×C4C22×C22⋊D1311yescharacteristic
1697C2×C4C22×C22⋊D1311yescharacteristic
1698C2×C4C22×C22⋊D1311yescharacteristic
1699C2×C4C24×D1311yescharacteristic
1700C8—261no—
1701C8—261no—
1702C8—261no—
1703C8—261no—
1704C8—261no—
1705C8—261no—
1706C8—261no—
1707C8—261no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—521no—
1724C22—521no—
1725C22—521no—
1726C22—521no—
1727C22—521no—
1728C22—521no—
1729C22—521no—
1730C22—521no—
1731C22—521no—
1732C22—2082no—
1733C22C23×C22⋊D1311yescharacteristic
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—22no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—521no—
1752C4—521no—
1753C4—521no—
1754C4—521no—
1755C4—521no—
1756C4C2×#8825611yescharacteristic
1757C4#1171964811yescharacteristic
1758C2—41no—
1759C2—41no—
1760C2—41no—
1761C2—81no—
1762C2—81no—
1763C2—1041no—
1764C2—1041no—
1765C2—1041no—
1766C2#1312850511yescharacteristic
1767C2#1312961611yescharacteristic
1768C2#1312962311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3522C2
socleC22×C13C23×D4
hypercenter#3522D13
hypocenterC13#62078
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #13129424C2semidirect
2. #13127920C2semidirect
3. #13127896C2semidirect
4. #13127650C2semidirect
5. #13127576C2semidirect
6. #13127157C2semidirect
7. #13127135C2semidirect
8. #13126941C2semidirect
9. #13126911C2semidirect
10. #13126821C2semidirect
11. #13126791C2semidirect
12. #13126489C2semidirect
13. #13126468C2semidirect
14. #13126422C2semidirect
15. #13126417C2semidirect
16. #13126392C2semidirect
17. #13126377C2semidirect
18. #13126262C2semidirect
19. #13126247C2semidirect
20. #13126192C2semidirect
21. #13125939C2semidirect
22. #13125924C2semidirect
23. #13125827C2semidirect
24. #13125050C2semidirect
25. #13125035C2semidirect
26. #13125007C2semidirect
27. #13124386C2semidirect
28. #13124375C2semidirect
29. #13124308C2semidirect
30. #13124006C2semidirect
31. C13×#3522C2semidirect
33. C13×#559C22semidirect
34. Q82×C13C22semidirect
39. C13×#548C22semidirect
43. C13×#547C22semidirect
47. C13×#542C22semidirect
49. C13×#532C22semidirect
53. C13×#520C22semidirect
54. C2×C4×Q8×C13C22semidirect
55. C2×#88205C22semidirect
60. C2×#88196C22semidirect
86. #11718899C22semidirect
87. #11718889C22semidirect
89. #11718755C22semidirect
90. #11718755C22semidirect
91. #11718754C22semidirect
92. #11718752C22semidirect
96. #11718750C22semidirect
99. #11718748C22semidirect
101. #11718736C22semidirect
103. #11718735C22semidirect
105. #11718721C22semidirect
110. #11718718C22semidirect
111. #11718715C22semidirect
112. #11718715C22semidirect
115. #11718711C22semidirect
117. #11718709C22semidirect
122. #11718703C22semidirect
123. #11718703C22semidirect
125. #11718701C22semidirect
128. #11718700C22semidirect
134. #11718698C22semidirect
135. #11718698C22semidirect
137. #11718692C22semidirect
138. #11718692C22semidirect
139. #11718692C22semidirect
140. #11718691C22semidirect
141. #11718691C22semidirect
142. #11718691C22semidirect
143. C4×#6107C22semidirect
150. #11718689C22semidirect
151. #11718689C22semidirect
157. #11718687C22semidirect
159. #11718685C22semidirect
160. #11718685C22semidirect
161. #11718683C22semidirect
162. #11718683C22semidirect
163. #11718680C22semidirect
164. #11718680C22semidirect
165. #11718680C22semidirect
166. #11718679C22semidirect
167. C4×#6105C22semidirect
176. C4×#6104C22semidirect
178. #11718673C22semidirect
182. #11718672C22semidirect
183. #11718670C22semidirect
184. #11718670C22semidirect
186. #11718661C22semidirect
188. #11718660C22semidirect
191. #11718631C22semidirect
192. C2×#88050C22semidirect
194. #11718629C22semidirect
199. #11718627C22semidirect
201. #11718587C22semidirect
202. #11718585C22semidirect
708. #3522D13semidirect
865. #559C2×D13semidirect
866. Q82C2×D13semidirect
877. #548C2×D13semidirect
882. #547C2×D13semidirect
888. #542C2×D13semidirect
899. #532C2×D13semidirect
904. #520C2×D13semidirect
905. C2×C4×Q8C2×D13semidirect
1590. C13#62078semidirect

Maximal subgroups

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

subgroupindex
#131294242
#131279202
#131278962
#131276502
#131275762
#131271572
#131271352
#131269412
#131269112
#131268212
#131267912
#131264892
#131264682
#131264222
#131264172
#131263922
#131263772
#131262622
#131262472
#131261922
#131259392
#131259242
#131258272
#131250502
#131250352
#131250072
#131243862
#131243752
#131243082
#131240062
C13×#35222
#6207813