Finite Group Databasebeta

← #16758089

Subgroups — #16758089

Order 3328.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128908C211yesmaximal, characteristic, complemented
2#13127911C211yesmaximal, characteristic, complemented
3#13127863C211yesmaximal, characteristic, complemented
4#13127657C211yesmaximal, characteristic, complemented
5#13127613C211yesmaximal, characteristic, complemented
6#13127119C211yesmaximal, characteristic, complemented
7#13127089C211yesmaximal, characteristic, complemented
8#13127007C211yesmaximal, characteristic, complemented
9#13126932C211yesmaximal, characteristic, complemented
10#13126902C211yesmaximal, characteristic, complemented
11#13126887C211yesmaximal, characteristic, complemented
12#13126482C211yesmaximal, characteristic, complemented
13#13126468C211yesmaximal, characteristic, complemented
14#13126392C211yesmaximal, characteristic, complemented
15#13126362C211yesmaximal, characteristic, complemented
16#13126347C211yesmaximal, characteristic, complemented
17#13126347C211yesmaximal, characteristic, complemented
18#13126286C211yesmaximal, characteristic, complemented
19#13126256C211yesmaximal, characteristic, complemented
20#13126232C211yesmaximal, characteristic, complemented
21#13125945C211yesmaximal, characteristic, complemented
22#13125919C211yesmaximal, characteristic, complemented
23#13125863C211yesmaximal, characteristic, complemented
24#13125083C211yesmaximal, characteristic, complemented
25#13125044C211yesmaximal, characteristic, complemented
26#13124939C211yesmaximal, characteristic, complemented
27#13124382C211yesmaximal, characteristic, complemented
28#13124344C211yesmaximal, characteristic, complemented
29#13124319C211yesmaximal, characteristic, complemented
30#13124006C211yesmaximal, characteristic, complemented
31C13×#3552C211yesmaximal, characteristic, complemented
32C13×#563—21no—
33C13×#563—21no—
34C13×#557C2211yescharacteristic, complemented
35C13×#556C2211yescharacteristic, complemented
36C13×#554—21no—
37C13×#553—21no—
38D4×Q8×C13C2211yescharacteristic
39D4×Q8×C13C2211yescharacteristic
40D4×Q8×C13C2211yescharacteristic, complemented
41C13×#548C2211yescharacteristic
42C13×#548C2211yescharacteristic, complemented
43C13×#547C2211yescharacteristic
44C13×#544—21no—
45C13×#542—21no—
46C13×#541C2211yescharacteristic
47C13×#541C2211yescharacteristic, complemented
48C13×#539—21no—
49C13×#539—21no—
50C13×#536C2211yescharacteristic
51C13×#536C2211yescharacteristic, complemented
52C2×C13×C4⋊Q8C2211yescharacteristic, complemented
53C13×#529C2211yescharacteristic
54C13×#529C2211yescharacteristic, complemented
55C2×#88204C2211yescharacteristic
56C2×#88203C2211yescharacteristic
57C2×#88196C2211yescharacteristic
58C2×#88196C2211yescharacteristic
59C2×#88196C2211yescharacteristic
60C22×#6106C2211yescharacteristic
61#11719411—21no—
62D13×#126—21no—
63#11719398—21no—
64#11719384—21no—
65#11719366—21no—
66#11719364—21no—
67#11719343—21no—
68#11719318—21no—
69#11719289C2211yescharacteristic
70#11719284C2211yescharacteristic
71#11719270C2211yescharacteristic
72#11719256C2211yescharacteristic
73#11719255C2211yescharacteristic
74#11719255C2211yescharacteristic
75#11719247C2211yescharacteristic
76#11719246C2211yescharacteristic
77#11719239C2211yescharacteristic
78#11719228C2211yescharacteristic
79#11719226C2211yescharacteristic
80#11719223C2211yescharacteristic
81#11719184C2211yescharacteristic
82C4×#6127C2211yescharacteristic
83#11718900C2211yescharacteristic
84#11718900C2211yescharacteristic
85#11718900C2211yescharacteristic, complemented
86#11718899C2211yescharacteristic
87#11718894C2211yescharacteristic
88#11718893C2211yescharacteristic, complemented
89#11718889C2211yescharacteristic
90#11718889C2211yescharacteristic
91#11718889C2211yescharacteristic, complemented
92#11718889C2211yescharacteristic, complemented
93#11718889C2211yescharacteristic, complemented
94#11718888C2211yescharacteristic
95#11718888C2211yescharacteristic
96#11718888C2211yescharacteristic
97#11718886C2211yescharacteristic
98#11718886C2211yescharacteristic, complemented
99#11718886C2211yescharacteristic, complemented
100C2×#88075C2211yescharacteristic, complemented
101#11718753C2211yescharacteristic, complemented
102#11718751C2211yescharacteristic, complemented
103#11718751C2211yescharacteristic, complemented
104#11718751C2211yescharacteristic, complemented
105#11718751C2211yescharacteristic, complemented
106#11718751C2211yescharacteristic, complemented
107#11718751C2211yescharacteristic, complemented
108#11718751C2211yescharacteristic, complemented
109#11718747C2211yescharacteristic
110#11718747C2211yescharacteristic
111#11718747C2211yescharacteristic
112#11718744C2211yescharacteristic
113#11718744C2211yescharacteristic
114#11718744C2211yescharacteristic
115#11718744C2211yescharacteristic
116#11718744C2211yescharacteristic
117#11718744C2211yescharacteristic
118#11718744C2211yescharacteristic
119#11718744C2211yescharacteristic
120#11718744C2211yescharacteristic
121#11718743C2211yescharacteristic, complemented
122#11718743C2211yescharacteristic, complemented
123#11718743C2211yescharacteristic, complemented
124#11718742C2211yescharacteristic, complemented
125#11718727C2211yescharacteristic
126#11718727C2211yescharacteristic
127#11718724C2211yescharacteristic, complemented
128#11718724C2211yescharacteristic, complemented
129#11718721C2211yescharacteristic, complemented
130#11718720C2211yescharacteristic
131#11718718C2211yescharacteristic
132#11718718C2211yescharacteristic
133#11718718C2211yescharacteristic
134#11718718C2211yescharacteristic
135#11718718C2211yescharacteristic
136#11718717C2211yescharacteristic, complemented
137#11718716C2211yescharacteristic, complemented
138#11718715C2211yescharacteristic, complemented
139#11718715C2211yescharacteristic, complemented
140#11718715C2211yescharacteristic, complemented
141#11718713C2211yescharacteristic
142#11718713C2211yescharacteristic
143#11718713C2211yescharacteristic, complemented
144#11718713C2211yescharacteristic, complemented
145#11718712C2211yescharacteristic
146#11718712C2211yescharacteristic
147#11718712C2211yescharacteristic, complemented
148#11718710C2211yescharacteristic
149#11718710C2211yescharacteristic
150#11718709C2211yescharacteristic
151#11718708C2211yescharacteristic
152#11718708C2211yescharacteristic
153#11718708C2211yescharacteristic
154#11718707C2211yescharacteristic
155#11718707C2211yescharacteristic
156#11718706C2211yescharacteristic
157#11718706C2211yescharacteristic
158#11718706C2211yescharacteristic, complemented
159#11718705C2211yescharacteristic, complemented
160#11718704C2211yescharacteristic, complemented
161#11718703C2211yescharacteristic, complemented
162#11718700C2211yescharacteristic
163#11718698C2211yescharacteristic
164#11718696C2211yescharacteristic, complemented
165#11718692C2211yescharacteristic, complemented
166#11718692C2211yescharacteristic, complemented
167#11718691C2211yescharacteristic, complemented
168#11718691C2211yescharacteristic, complemented
169C4×#6107C2211yescharacteristic, complemented
170#11718689C2211yescharacteristic
171#11718689C2211yescharacteristic
172#11718689C2211yescharacteristic
173#11718687C2211yescharacteristic
174#11718687C2211yescharacteristic
175#11718687C2211yescharacteristic
176#11718687C2211yescharacteristic
177C4×#6106C2211yescharacteristic
178C4×#6106C2211yescharacteristic
179C4×#6106C2211yescharacteristic
180#11718685C2211yescharacteristic, complemented
181#11718685C2211yescharacteristic, complemented
182#11718683C2211yescharacteristic, complemented
183#11718683C2211yescharacteristic, complemented
184#11718683C2211yescharacteristic, complemented
185#11718682C2211yescharacteristic, complemented
186#11718681C2211yescharacteristic, complemented
187#11718679C2211yescharacteristic, complemented
188#11718677C2211yescharacteristic
189#11718675C2211yescharacteristic
190#11718673C2211yescharacteristic
191#11718673C2211yescharacteristic, complemented
192#11718672C2211yescharacteristic
193#11718672C2211yescharacteristic
194#11718672C2211yescharacteristic
195#11718672C2211yescharacteristic, complemented
196#11718670C2211yescharacteristic, complemented
197#11718661C2211yescharacteristic
198#11718661C2211yescharacteristic, complemented
199#11718660C2211yescharacteristic
200#11718660C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C22×Q8×C13C2311yescharacteristic
206C22×Q8×C13C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic
208C22×Q8×C13C2311yescharacteristic
209C2×#6127C2311yescharacteristic
210C2×#6127C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C13×C4⋊Q8—21no—
213C13×C4⋊Q8—21no—
214C13×C4⋊Q8—21no—
215C13×C4⋊Q8—21no—
216C13×C4⋊Q8—21no—
217C13×C4⋊Q8C2311yescharacteristic
218C13×C4⋊Q8C2311yescharacteristic
219C13×C4⋊Q8C2311yescharacteristic
220C13×C4⋊Q8C2311yescharacteristic
221C13×C4⋊Q8C2311yescharacteristic
222C13×C4⋊Q8C2311yescharacteristic
223C13×#126—21no—
224C13×#126—21no—
225C13×#126—21no—
226C13×#126—21no—
227C13×#126—21no—
228C13×#126—21no—
229C13×#126—21no—
230C13×#126D411yescharacteristic
231C13×#126D411yescharacteristic
232C13×#125—21no—
233C13×#125—21no—
234C13×#125—21no—
235C13×#125—21no—
236C13×#125—21no—
237C13×#125—21no—
238C13×#125—21no—
239C13×#125D411yescharacteristic
240C13×#125C2311yescharacteristic
241C13×#124—21no—
242C13×#124—21no—
243C13×#124D411yescharacteristic
244C13×#124C2311yescharacteristic
245C13×#124C2311yescharacteristic
246C13×#124C2311yescharacteristic
247C13×#123—21no—
248C13×#123—21no—
249C13×#123—21no—
250C13×#123—21no—
251C13×#123—21no—
252C13×#123—21no—
253C13×#123—21no—
254C13×#123D411yescharacteristic
255C13×#123D411yescharacteristic
256C13×C22⋊Q8—21no—
257C13×C22⋊Q8—21no—
258C13×C22⋊Q8—21no—
259C13×C22⋊Q8—21no—
260C13×C22⋊Q8—21no—
261C13×C22⋊Q8—21no—
262C13×C22⋊Q8—21no—
263C13×C22⋊Q8—21no—
264C13×C22⋊Q8—21no—
265C13×C22⋊Q8—21no—
266C13×C22⋊Q8—21no—
267C13×C22⋊Q8—21no—
268C13×C22⋊Q8—21no—
269C13×C22⋊Q8D411yescharacteristic
270C13×C22⋊Q8C2311yescharacteristic
271C13×C22⋊Q8C2311yescharacteristic
272C13×C22⋊Q8C2311yescharacteristic
273C13×C22⋊Q8C2311yescharacteristic
274C13×C22⋊Q8C2311yescharacteristic
275C13×#121—21no—
276C13×#121—21no—
277C13×#121—21no—
278C13×#121D411yescharacteristic
279C13×#121C2311yescharacteristic
280C4×Q8×C13—21no—
281C4×Q8×C13C2311yescharacteristic
282C4×Q8×C13C2311yescharacteristic
283C4×Q8×C13C2311yescharacteristic
284C4×Q8×C13C2311yescharacteristic
285C4×Q8×C13C2311yescharacteristic
286C4×Q8×C13C2311yescharacteristic
287C4×D4×C13—21no—
288C4×D4×C13—21no—
289C4×D4×C13—21no—
290C4×D4×C13—21no—
291C4×D4×C13—21no—
292C4×D4×C13—21no—
293C4×D4×C13C2311yescharacteristic
294C4×D4×C13C2311yescharacteristic
295C4×D4×C13C2311yescharacteristic
296C4×D4×C13C2311yescharacteristic
297C13×#117—21no—
298C13×#117—21no—
299C13×#117C2311yescharacteristic
300C13×#117C2311yescharacteristic
301C2×C13×C4⋊C4—21no—
302C2×C13×C4⋊C4—21no—
303C2×C13×C4⋊C4—21no—
304C2×C42×C13C2311yescharacteristic
305#88204—42no—
306#88203—42no—
307#88200—21no—
308#88200—21no—
309C2×#6107C2311yescharacteristic
310C2×#6107C2311yescharacteristic
311C2×#6107C2311yescharacteristic
312C2×#6107C2311yescharacteristic
313C2×#6107C2311yescharacteristic
314C2×#6107C2311yescharacteristic
315C2×#6107C2311yescharacteristic
316C2×#6107C2311yescharacteristic
317C2×#6107C2311yescharacteristic
318C2×#6107C2311yescharacteristic
319#88196—42no—
320#88196—42no—
321#88196—42no—
322C2×#6106—42no—
323C2×#6106C2311yescharacteristic
324C2×#6106C2311yescharacteristic
325C2×#6106C2311yescharacteristic
326C2×#6106C2311yescharacteristic
327C2×#6106C2311yescharacteristic
328C2×#6106C2311yescharacteristic
329C2×#6106C2311yescharacteristic
330C2×#6106C2311yescharacteristic
331C2×#6106C2311yescharacteristic
332C2×#6106C2311yescharacteristic
333#88193—21no—
334#88192—21no—
335#88191—21no—
336#88191—21no—
337#88190—21no—
338#88189—21no—
339C2×#6105C2311yescharacteristic
340C2×#6105C2311yescharacteristic
341C2×#6104C2311yescharacteristic
342C2×#6104C2311yescharacteristic
343#88184C2311yescharacteristic
344#88184C2311yescharacteristic
345#88183—21no—
346C4×C22⋊D13—21no—
347C4×C22⋊D13—21no—
348C4×C22⋊D13—21no—
349#88180C2311yescharacteristic
350#88180C2311yescharacteristic
351C2×C4⋊Dic13C2311yescharacteristic
352#88178C2311yescharacteristic
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#88152—21no—
365#88152—21no—
366#88150—21no—
367#88150—21no—
368#88150—21no—
369#88148—21no—
370#88148—21no—
371#88147—21no—
372#88147—21no—
373#88146—21no—
374#88146—21no—
375C4⋊C4×D13—21no—
376C4⋊C4×D13—21no—
377C4⋊C4×D13—21no—
378#88143—21no—
379#88143—21no—
380#88143—21no—
381#88141—21no—
382#88139—21no—
383#88138—21no—
384#88138—21no—
385#88137—21no—
386#88137—21no—
387#88137—21no—
388#88137—21no—
389#88135—21no—
390#88135—21no—
391#88135—21no—
392C22⋊C4×D13—21no—
393C22⋊C4×D13—21no—
394C22⋊C4×D13—21no—
395C22⋊C4×D13—21no—
396#88133—21no—
397#88133—21no—
398#88133—21no—
399#88133—21no—
400#88133—21no—
401#88131—21no—
402#88130—21no—
403#88129C2311yescharacteristic
404#88129C2311yescharacteristic
405C4×D52C2311yescharacteristic
406C4×D52C2311yescharacteristic
407C4×D52C2311yescharacteristic
408C4×D52C2311yescharacteristic
409C4×D52C2311yescharacteristic
410C4×D52C2311yescharacteristic
411#88126—21no—
412#88126—21no—
413C42×D13—21no—
414#88124C2311yescharacteristic
415#88124C2311yescharacteristic
416#88123C2311yescharacteristic
417#88123C2311yescharacteristic
418C4×Dic26C2311yescharacteristic
419C4×Dic26C2311yescharacteristic
420C4×Dic26C2311yescharacteristic
421C4×Dic26C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88075C2311yescharacteristic
427#88075C2311yescharacteristic
428#88075C2311yescharacteristic
429#88075C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432#88075C2311yescharacteristic
433#88075C2311yescharacteristic
434#88075C2311yescharacteristic
435#88075C2311yescharacteristic
436#88075C2311yescharacteristic
437#88075C2311yescharacteristic
438#88075C2311yescharacteristic
439#88075C2311yescharacteristic
440#88075C2311yescharacteristic
441#88075C2311yescharacteristic
442#88072C2311yescharacteristic
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic
448C22⋊#1055C2311yescharacteristic
449C22⋊#1055C2311yescharacteristic
450C22⋊#1055C2311yescharacteristic
451C22⋊#1055C2311yescharacteristic
452#88050C2311yescharacteristic
453#88050C2311yescharacteristic
454#88050C2311yescharacteristic
455#88050C2311yescharacteristic
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#62080—131nomaximal, Sylow
485C23×D13—21no—
486C13×#41—41no—
487C13×#41—41no—
488C13×#41—41no—
489C13×#41—41no—
490C2×Q8×C13—21no—
491C2×Q8×C13—21no—
492C2×Q8×C13—21no—
493C2×Q8×C13—21no—
494C2×Q8×C13—41no—
495C2×Q8×C13—41no—
496C2×Q8×C13—41no—
497C2×Q8×C13—41no—
498C2×Q8×C13—41no—
499C2×Q8×C13—41no—
500C2×Q8×C13—41no—
501C2×Q8×C13—41no—
502C2×Q8×C13C2×D411yescharacteristic
503C2×Q8×C13C2411yescharacteristic
504C2×Q8×C13C2411yescharacteristic
505C2×Q8×C13C2411yescharacteristic
506C2×Q8×C13C2411yescharacteristic
507C2×Q8×C13C2411yescharacteristic
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13C2×D411yescharacteristic
512C2×D4×C13C2×D411yescharacteristic
513C2×D4×C13C2×D411yescharacteristic
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×C13C2×D411yescharacteristic
523C22×C4×C13C2×D411yescharacteristic
524C22×C4×C13C2411yescharacteristic
525C22×C4×C13C2411yescharacteristic
526C22×C4×C13C2411yescharacteristic
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—21no—
531C22×Dic13—21no—
532#6127—22no—
533#6127—22no—
534#6127—41no—
535#6127—41no—
536C2×D52—22no—
537C2×D52—21no—
538C2×D52—41no—
539C2×D52C2411yescharacteristic
540C2×D52C2411yescharacteristic
541C2×C4×D13—21no—
542C2×C4×D13—21no—
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—21no—
548C2×C4×D13—21no—
549C2×Dic26—21no—
550C2×Dic26C2411yescharacteristic
551C2×Dic26C2411yescharacteristic
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4—21no—
564C13×C4⋊C4—21no—
565C13×C4⋊C4—21no—
566C13×C4⋊C4—21no—
567C13×C4⋊C4—21no—
568C13×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
577C13×C4⋊C4C2×D411yescharacteristic
578C13×C4⋊C4C2×D411yescharacteristic
579C13×C4⋊C4C2×D411yescharacteristic
580C13×C4⋊C4C2×D411yescharacteristic
581C13×C4⋊C4C2×D411yescharacteristic
582C13×C4⋊C4C2×D411yescharacteristic
583C13×C4⋊C4C2×D411yescharacteristic
584C13×C4⋊C4C2×D411yescharacteristic
585C13×C4⋊C4C2×D411yescharacteristic
586C13×C4⋊C4C2411yescharacteristic
587C13×C4⋊C4C2411yescharacteristic
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
590C13×C22⋊C4—21no—
591C13×C22⋊C4—21no—
592C13×C22⋊C4—21no—
593C13×C22⋊C4—21no—
594C13×C22⋊C4—21no—
595C13×C22⋊C4—21no—
596C13×C22⋊C4—21no—
597C13×C22⋊C4—21no—
598C13×C22⋊C4—21no—
599C13×C22⋊C4—21no—
600C13×C22⋊C4—21no—
601C13×C22⋊C4C2×D411yescharacteristic
602C13×C22⋊C4C2×D411yescharacteristic
603C13×C22⋊C4C2×D411yescharacteristic
604C13×C22⋊C4C2×D411yescharacteristic
605C13×C22⋊C4C2×D411yescharacteristic
606C13×C22⋊C4C2×D411yescharacteristic
607C13×C22⋊C4C2×D411yescharacteristic
608C13×C22⋊C4C2×D411yescharacteristic
609C13×C22⋊C4C2×D411yescharacteristic
610C13×C22⋊C4C2×D411yescharacteristic
611C42×C13—21no—
612C42×C13—21no—
613C42×C13—21no—
614C42×C13—21no—
615C42×C13—21no—
616C42×C13C2×D411yescharacteristic
617C42×C13C2×D411yescharacteristic
618C42×C13C2411yescharacteristic
619C42×C13C2411yescharacteristic
620C42×C13C2411yescharacteristic
621C42×C13C2411yescharacteristic
622C22⋊Dic13—21no—
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626C22⋊Dic13—21no—
627C22⋊Dic13—21no—
628#6107—41no—
629#6107—41no—
630#6107—41no—
631#6107—41no—
632#6107—41no—
633#6107—41no—
634#6107—41no—
635#6107—41no—
636#6107—41no—
637#6107—41no—
638#6106—22no—
639#6106—22no—
640#6106—22no—
641#6106—22no—
642#6106—22no—
643#6106—41no—
644#6106—41no—
645#6106—41no—
646#6106—41no—
647#6106—41no—
648#6105—41no—
649#6105—41no—
650#6104—22no—
651#6104—41no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103—21no—
656#6103—21no—
657#6103—21no—
658#6103—21no—
659#6103—21no—
660#6103—21no—
661#6103—21no—
662#6103—21no—
663#6103—21no—
664C4⋊Dic13—21no—
665C4⋊Dic13—21no—
666C4⋊Dic13—21no—
667C4⋊Dic13—21no—
668C4⋊Dic13C2411yescharacteristic
669C4⋊Dic13C2411yescharacteristic
670C4⋊Dic13C2411yescharacteristic
671C4⋊Dic13C2411yescharacteristic
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#6101—21no—
681#6101—21no—
682#6101—21no—
683#6101—21no—
684C4×Dic13—21no—
685C4×Dic13—21no—
686C4×Dic13—21no—
687C4×Dic13—21no—
688C4×Dic13—21no—
689C4×Dic13—21no—
690#6099—41no—
691#6099—41no—
692#6099—41no—
693#6099—41no—
694C2×#1055—41no—
695C2×#1055—41no—
696C2×#1055C2411yescharacteristic
697C2×#1055C2411yescharacteristic
698C2×#1055C2411yescharacteristic
699C2×#1055C2411yescharacteristic
700C2×#1055C2411yescharacteristic
701C2×#1055C2411yescharacteristic
702C2×#1055C2411yescharacteristic
703C2×#1055C2411yescharacteristic
704#3552D1311yescharacteristic, complemented
705#3521—131no—
706#3402—131no—
707#3398—131no—
708#3376—131no—
709#3372—131no—
710#3328—131no—
711#3326—131no—
712#3320—131no—
713#3315—131no—
714#3313—131no—
715#3312—131no—
716#3276—131no—
717#3275—131no—
718#3269—131no—
719#3267—131no—
720#3266—131no—
721#3266—131no—
722#3261—131no—
723#3258—131no—
724#3256—131no—
725#3225—131no—
726#3223—131no—
727#3218—131no—
728#3123—131no—
729#3120—131no—
730#3111—131no—
731#3046—131no—
732#3042—131no—
733#3039—131no—
734#2995—131no—
735C23×C13—21no—
736C23×C13C22×D411yescharacteristic
737C23×C13C22×D411yescharacteristic
738C23×C13C22×D411yescharacteristic
739C22×D13—21no—
740C22×D13—21no—
741C22×D13—42no—
742C22×D13—81no—
743C22×D13—81no—
744Q8×C13—21no—
745Q8×C13—21no—
746Q8×C13—21no—
747Q8×C13—21no—
748Q8×C13—21no—
749Q8×C13—21no—
750Q8×C13—21no—
751Q8×C13—21no—
752Q8×C13—21no—
753Q8×C13—21no—
754Q8×C13—41no—
755Q8×C13—81no—
756Q8×C13—81no—
757Q8×C13—81no—
758Q8×C13—81no—
759D4×C13—21no—
760D4×C13—21no—
761D4×C13—41no—
762D4×C13—41no—
763D4×C13—41no—
764D4×C13—42no—
765D4×C13—81no—
766D4×C13—81no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—21no—
772C2×C4×C13—21no—
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—41no—
781C2×C4×C13—41no—
782C2×C4×C13—42no—
783C2×C4×C13—81no—
784C2×C4×C13—81no—
785C2×C4×C13—81no—
786C2×C4×C13—81no—
787C2×C4×C13—81no—
788C2×C4×C13—81no—
789C2×C4×C13C22×D411yescharacteristic
790C2×C4×C13C22×D411yescharacteristic
791C2×C4×C13C22×D411yescharacteristic
792C2×C4×C13C22×D411yescharacteristic
793C2×C4×C13C22×D411yescharacteristic
794C2×C4×C13C22×D411yescharacteristic
795C2×C4×C13C22×D411yescharacteristic
796C2×C4×C13C22×D411yescharacteristic
797C2×C4×C13C22×D411yescharacteristic
798C2×C4×C13C22×D411yescharacteristic
799C2×C4×C13C22×D411yescharacteristic
800C2×C4×C13C2511yescharacteristic
801C22⋊D13—42no—
802C22⋊D13—42no—
803C22⋊D13—81no—
804C22⋊D13—81no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—21no—
808C2×Dic13—21no—
809C2×Dic13—21no—
810C2×Dic13—21no—
811C2×Dic13—81no—
812D52—21no—
813D52—21no—
814D52—21no—
815D52—42no—
816D52H(5,𝔽2)12yes—
817C4×D13—42no—
818C4×D13—42no—
819C4×D13—81no—
820C4×D13—81no—
821C4×D13—81no—
822C4×D13—81no—
823C4×D13—81no—
824C4×D13—81no—
825Dic26—21no—
826Dic26—21no—
827Dic26—21no—
828Dic26—21no—
829Dic26—81no—
830#1055—21no—
831#1055—21no—
832#1055—21no—
833#1055—21no—
834#1055—21no—
835#1055—21no—
836#1055—21no—
837#1055—21no—
838C2×#137—131no—
839C2×#137—131no—
840C2×#137—131no—
841C2×AGL(1,ℤ/8)—131no—
842C2×#135—131no—
843C22×SD16—131no—
844#563—21no—
845#563—21no—
846#557C2×D1311yescharacteristic, complemented
847#556—131no—
848#556—131no—
849#556C2×D1311yescharacteristic, complemented
850#554—21no—
851#554—131no—
852#553—21no—
853#553—131no—
854#553—261no—
855#552—131no—
856#552—261no—
857#551—261no—
858#551—261no—
859D4×Q8C2×D1311yescharacteristic
860D4×Q8C2×D1311yescharacteristic
861D4×Q8C2×D1311yescharacteristic, complemented
862#548C2×D1311yescharacteristic
863#548C2×D1311yescharacteristic, complemented
864#547—131no—
865#547C2×D1311yescharacteristic
866#546—131no—
867#546—131no—
868#544—21no—
869#542—21no—
870#542—131no—
871#541—131no—
872#541C2×D1311yescharacteristic
873#541C2×D1311yescharacteristic, complemented
874#539—21no—
875#539—21no—
876#539—261no—
877#538—261no—
878#536C2×D1311yescharacteristic
879#536C2×D1311yescharacteristic, complemented
880C2×C4⋊Q8C2×D1311yescharacteristic, complemented
881#529—131no—
882#529—261no—
883#529C2×D1311yescharacteristic
884#529C2×D1311yescharacteristic, complemented
885C2×#126—261no—
886#520—131no—
887#518—131no—
888C4×#41—131no—
889#497—131no—
890#497—131no—
891#497—131no—
892#497—131no—
893#495—131no—
894#494—131no—
895#491—131no—
896#491—131no—
897#491—131no—
898#489—131no—
899#488—131no—
900#487—131no—
901#485—131no—
902#485—131no—
903#485—131no—
904#484—131no—
905#483—131no—
906#482—131no—
907#479—131no—
908#479—131no—
909#479—131no—
910#479—131no—
911#479—131no—
912#478—131no—
913#478—131no—
914#478—131no—
915#477—131no—
916#475—131no—
917#470—131no—
918#470—131no—
919#470—131no—
920#470—131no—
921#469—131no—
922#468—131no—
923#468—131no—
924#468—131no—
925#467—131no—
926#467—131no—
927#467—131no—
928#465—131no—
929#464—131no—
930#464—131no—
931#464—131no—
932#464—131no—
933#464—131no—
934#464—131no—
935#463—131no—
936#463—131no—
937#463—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#462—131no—
942#462—131no—
943#462—131no—
944#462—131no—
945#462—131no—
946#462—131no—
947#462—131no—
948#462—131no—
949#462—131no—
950#461—131no—
951#461—131no—
952#461—131no—
953#461—131no—
954#461—131no—
955#461—131no—
956#461—131no—
957#461—131no—
958#461—131no—
959#452—131no—
960#452—131no—
961#452—131no—
962#452—131no—
963#452—131no—
964#452—131no—
965#451—131no—
966#451—131no—
967#451—131no—
968#451—131no—
969#451—131no—
970#450—131no—
971#450—131no—
972#449—131no—
973#449—131no—
974#448—131no—
975#448—131no—
976#448—131no—
977#446—131no—
978#446—131no—
979#442—131no—
980#441—131no—
981#441—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440—131no—
986#440—131no—
987C4×Q16—131no—
988C4×SD16—131no—
989C4×SD16—131no—
990C4×SD16—131no—
991#436—131no—
992#436—131no—
993#435—131no—
994#435—131no—
995#435—131no—
996#435—131no—
997#433—131no—
998#433—131no—
999#432—131no—
1000#424—131no—
1001#424—131no—
1002#423—131no—
1003#419—131no—
1004#419—131no—
1005#419—131no—
1006#417—131no—
1007#416—131no—
1008C2×#103—131no—
1009C22×C13—21no—
1010C22×C13—21no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13C23×D411yescharacteristic
1022C2×D13—22no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—162no—
1029C4×C13—21no—
1030C4×C13—21no—
1031C4×C13—21no—
1032C4×C13—21no—
1033C4×C13—21no—
1034C4×C13—21no—
1035C4×C13—21no—
1036C4×C13—21no—
1037C4×C13—21no—
1038C4×C13—21no—
1039C4×C13—21no—
1040C4×C13—41no—
1041C4×C13—41no—
1042C4×C13—41no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13C2×H(5,𝔽2)11yescharacteristic
1048C4×C13#58511yescharacteristic
1049Dic13—41no—
1050Dic13—41no—
1051Dic13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055C2×#41—131no—
1056C2×#41—131no—
1057C2×#41C22×D1311yescharacteristic
1058C2×#41C22×D1311yescharacteristic
1059C22×Q8C22×D1311yescharacteristic
1060C22×Q8C22×D1311yescharacteristic
1061C22×Q8C22×D1311yescharacteristic
1062C22×Q8C22×D1311yescharacteristic
1063C22×D4—131no—
1064#137—522no—
1065#137—522no—
1066#137—522no—
1067AGL(1,ℤ/8)—522no—
1068#135—522no—
1069C2×Q16—131no—
1070C2×Q16—131no—
1071C2×Q16—131no—
1072C2×Q16—131no—
1073C2×Q16—131no—
1074C2×Q16—131no—
1075C2×Q16—131no—
1076C2×Q16—131no—
1077C2×Q16—131no—
1078C2×Q16—131no—
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16—131no—
1086C2×SD16—131no—
1087C2×SD16—131no—
1088C2×SD16—131no—
1089C2×SD16—131no—
1090C2×SD16—131no—
1091C2×SD16—522no—
1092C2×D8—131no—
1093C2×D8—131no—
1094C2×M16—131no—
1095C2×M16—131no—
1096C2×M16—131no—
1097C2×M16—131no—
1098C22×C8—131no—
1099C22×C8—131no—
1100C4⋊Q8—21no—
1101C4⋊Q8—21no—
1102C4⋊Q8—21no—
1103C4⋊Q8—21no—
1104C4⋊Q8—21no—
1105C4⋊Q8—131no—
1106C4⋊Q8—131no—
1107C4⋊Q8C22×D1311yescharacteristic
1108C4⋊Q8C22×D1311yescharacteristic
1109C4⋊Q8C22×D1311yescharacteristic
1110C4⋊Q8C22×D1311yescharacteristic
1111C4⋊Q8C22×D1311yescharacteristic
1112C4⋊Q8C22×D1311yescharacteristic
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—261no—
1121#126—261no—
1122#126—261no—
1123#126—261no—
1124#126—261no—
1125#126—261no—
1126#126—261no—
1127#126—261no—
1128#126—261no—
1129#126—261no—
1130#126C22⋊D1311yescharacteristic
1131#126C22⋊D1311yescharacteristic
1132#125—21no—
1133#125—21no—
1134#125—21no—
1135#125—21no—
1136#125—21no—
1137#125—21no—
1138#125—21no—
1139#125—131no—
1140#125—131no—
1141#125—261no—
1142#125—261no—
1143#125—261no—
1144#125C22⋊D1311yescharacteristic
1145#125C22×D1311yescharacteristic
1146#124—21no—
1147#124—21no—
1148#124—131no—
1149#124—131no—
1150#124—261no—
1151#124—261no—
1152#124C22⋊D1311yescharacteristic
1153#124C22×D1311yescharacteristic
1154#124C22×D1311yescharacteristic
1155#124C22×D1311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—261no—
1164#123—261no—
1165#123—261no—
1166#123—261no—
1167#123—261no—
1168#123—261no—
1169#123—261no—
1170#123—261no—
1171#123C22⋊D1311yescharacteristic
1172#123C22⋊D1311yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—131no—
1187C22⋊Q8—131no—
1188C22⋊Q8—131no—
1189C22⋊Q8—131no—
1190C22⋊Q8—261no—
1191C22⋊Q8—261no—
1192C22⋊Q8—261no—
1193C22⋊Q8—261no—
1194C22⋊Q8—261no—
1195C22⋊Q8C22⋊D1311yescharacteristic
1196C22⋊Q8C22×D1311yescharacteristic
1197C22⋊Q8C22×D1311yescharacteristic
1198C22⋊Q8C22×D1311yescharacteristic
1199C22⋊Q8C22×D1311yescharacteristic
1200C22⋊Q8C22×D1311yescharacteristic
1201#121—21no—
1202#121—21no—
1203#121—21no—
1204#121—131no—
1205#121—131no—
1206#121—261no—
1207#121—261no—
1208#121—261no—
1209#121—261no—
1210#121C22⋊D1311yescharacteristic
1211#121C22×D1311yescharacteristic
1212#120—261no—
1213#120—261no—
1214C4×Q8—21no—
1215C4×Q8—131no—
1216C4×Q8—131no—
1217C4×Q8—131no—
1218C4×Q8—131no—
1219C4×Q8—261no—
1220C4×Q8C22×D1311yescharacteristic
1221C4×Q8C22×D1311yescharacteristic
1222C4×Q8C22×D1311yescharacteristic
1223C4×Q8C22×D1311yescharacteristic
1224C4×Q8C22×D1311yescharacteristic
1225C4×Q8C22×D1311yescharacteristic
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—131no—
1233C4×D4—131no—
1234C4×D4—131no—
1235C4×D4—131no—
1236C4×D4—131no—
1237C4×D4—131no—
1238C4×D4—261no—
1239C4×D4—261no—
1240C4×D4—261no—
1241C4×D4—261no—
1242C4×D4—261no—
1243C4×D4—261no—
1244C4×D4—261no—
1245C4×D4—261no—
1246C4×D4C22×D1311yescharacteristic
1247C4×D4C22×D1311yescharacteristic
1248C4×D4C22×D1311yescharacteristic
1249C4×D4C22×D1311yescharacteristic
1250#117—21no—
1251#117—21no—
1252#117—131no—
1253#117—131no—
1254#117—261no—
1255#117—261no—
1256#117—261no—
1257#117—261no—
1258#117—261no—
1259#117C22×D1311yescharacteristic
1260#117C22×D1311yescharacteristic
1261C2×C4⋊C4—21no—
1262C2×C4⋊C4—21no—
1263C2×C4⋊C4—21no—
1264C2×C4⋊C4—131no—
1265C2×C4⋊C4—261no—
1266C2×C4⋊C4—261no—
1267C2×C4⋊C4—261no—
1268C2×C22⋊C4—261no—
1269C2×C22⋊C4—261no—
1270C2×C22⋊C4—261no—
1271C2×C22⋊C4—261no—
1272C2×C42—261no—
1273C2×C42C22×D1311yescharacteristic
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107—131no—
1278#106—131no—
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282C4⋊C8—131no—
1283C4⋊C8—131no—
1284C4⋊C8—131no—
1285C4⋊C8—131no—
1286C4⋊C8—131no—
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292#103—131no—
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103—131no—
1302#103—131no—
1303#103—131no—
1304#103—131no—
1305#103—131no—
1306#103—131no—
1307#103—131no—
1308#103—131no—
1309#103—131no—
1310#103—131no—
1311#103—131no—
1312#103—131no—
1313#103—131no—
1314#103—131no—
1315#103—131no—
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102—131no—
1320#102—131no—
1321#102—131no—
1322#102—131no—
1323#102—131no—
1324C22⋊C8—131no—
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8—131no—
1330#97—131no—
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334C4×C8—131no—
1335C4×C8—131no—
1336C2×C13—41no—
1337C2×C13—41no—
1338C2×C13—41no—
1339C2×C13—81no—
1340C2×C13#348811yescharacteristic
1341C2×C13#358611yescharacteristic
1342C2×C13#358611yescharacteristic
1343D13—42no—
1344D13—81no—
1345C24—261no—
1346#41—41no—
1347#41—41no—
1348#41—41no—
1349#41—41no—
1350#41—262no—
1351#41—262no—
1352#41—521no—
1353#41—521no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—41no—
1361C2×Q8—41no—
1362C2×Q8—41no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×Q8—41no—
1366C2×Q8—131no—
1367C2×Q8—131no—
1368C2×Q8—261no—
1369C2×Q8C2×C22⋊D1311yescharacteristic
1370C2×Q8C23×D1311yescharacteristic
1371C2×Q8C23×D1311yescharacteristic
1372C2×Q8C23×D1311yescharacteristic
1373C2×Q8C23×D1311yescharacteristic
1374C2×Q8C23×D1311yescharacteristic
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—131no—
1379C2×D4—131no—
1380C2×D4—262no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—261no—
1386C2×D4—521no—
1387C2×D4C2×C22⋊D1311yescharacteristic
1388C2×D4C2×C22⋊D1311yescharacteristic
1389C2×D4C2×C22⋊D1311yescharacteristic
1390C2×D4C23×D1311yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—261no—
1399C22×C4—261no—
1400C22×C4—261no—
1401C22×C4—261no—
1402C22×C4—261no—
1403C22×C4—261no—
1404C22×C4—261no—
1405C22×C4—261no—
1406C22×C4—261no—
1407C22×C4C2×C22⋊D1311yescharacteristic
1408C22×C4C2×C22⋊D1311yescharacteristic
1409C22×C4C23×D1311yescharacteristic
1410C22×C4C23×D1311yescharacteristic
1411C22×C4C23×D1311yescharacteristic
1412Q16—521no—
1413Q16—521no—
1414Q16—521no—
1415Q16—521no—
1416Q16—521no—
1417Q16—521no—
1418Q16—521no—
1419Q16—521no—
1420Q16—521no—
1421Q16—521no—
1422SD16—262no—
1423SD16—262no—
1424SD16—262no—
1425SD16—262no—
1426SD16—262no—
1427SD16—521no—
1428SD16—521no—
1429SD16—521no—
1430SD16—521no—
1431SD16—521no—
1432SD16—521no—
1433SD16—521no—
1434D8—262no—
1435D8—521no—
1436M16—521no—
1437M16—521no—
1438M16—521no—
1439M16—521no—
1440C2×C8—131no—
1441C2×C8—131no—
1442C2×C8—131no—
1443C2×C8—131no—
1444C2×C8—131no—
1445C2×C8—131no—
1446C2×C8—131no—
1447C2×C8—131no—
1448C2×C8—521no—
1449C2×C8—521no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—131no—
1475C4⋊C4—131no—
1476C4⋊C4—131no—
1477C4⋊C4—131no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4C2×C22⋊D1311yescharacteristic
1495C4⋊C4C2×C22⋊D1311yescharacteristic
1496C4⋊C4C2×C22⋊D1311yescharacteristic
1497C4⋊C4C2×C22⋊D1311yescharacteristic
1498C4⋊C4C2×C22⋊D1311yescharacteristic
1499C4⋊C4C2×C22⋊D1311yescharacteristic
1500C4⋊C4C2×C22⋊D1311yescharacteristic
1501C4⋊C4C2×C22⋊D1311yescharacteristic
1502C4⋊C4C2×C22⋊D1311yescharacteristic
1503C4⋊C4C2×C22⋊D1311yescharacteristic
1504C4⋊C4C23×D1311yescharacteristic
1505C4⋊C4C23×D1311yescharacteristic
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4C2×C22⋊D1311yescharacteristic
1538C22⋊C4C2×C22⋊D1311yescharacteristic
1539C22⋊C4C2×C22⋊D1311yescharacteristic
1540C22⋊C4C2×C22⋊D1311yescharacteristic
1541C22⋊C4C2×C22⋊D1311yescharacteristic
1542C22⋊C4C2×C22⋊D1311yescharacteristic
1543C22⋊C4C2×C22⋊D1311yescharacteristic
1544C22⋊C4C2×C22⋊D1311yescharacteristic
1545C22⋊C4C2×C22⋊D1311yescharacteristic
1546C22⋊C4C2×C22⋊D1311yescharacteristic
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—261no—
1553C42—261no—
1554C42—261no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42C2×C22⋊D1311yescharacteristic
1559C42C2×C22⋊D1311yescharacteristic
1560C42C23×D1311yescharacteristic
1561C42C23×D1311yescharacteristic
1562C42C23×D1311yescharacteristic
1563C42C23×D1311yescharacteristic
1564C13#6208011yescharacteristic, complemented, Sylow
1565C23—21no—
1566C23—261no—
1567C23—261no—
1568C23—522no—
1569C23—1041no—
1570C23—1041no—
1571C23C22×C22⋊D1311yescharacteristic
1572C23C22×C22⋊D1311yescharacteristic
1573C23C22×C22⋊D1311yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—41no—
1585Q8—81no—
1586Q8—81no—
1587Q8—81no—
1588Q8—81no—
1589Q8—261no—
1590Q8—261no—
1591Q8—261no—
1592Q8—261no—
1593Q8—1041no—
1594D4—21no—
1595D4—21no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—42no—
1600D4—81no—
1601D4—81no—
1602D4—132no—
1603D4—261no—
1604D4—261no—
1605D4—261no—
1606D4—522no—
1607D4—522no—
1608D4—522no—
1609D4—1041no—
1610D4—1041no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—261no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—522no—
1640C2×C4—522no—
1641C2×C4—1041no—
1642C2×C4—1041no—
1643C2×C4—1041no—
1644C2×C4—1041no—
1645C2×C4—1041no—
1646C2×C4—1041no—
1647C2×C4—1041no—
1648C2×C4C22×C22⋊D1311yescharacteristic
1649C2×C4C22×C22⋊D1311yescharacteristic
1650C2×C4C22×C22⋊D1311yescharacteristic
1651C2×C4C22×C22⋊D1311yescharacteristic
1652C2×C4C22×C22⋊D1311yescharacteristic
1653C2×C4C22×C22⋊D1311yescharacteristic
1654C2×C4C22×C22⋊D1311yescharacteristic
1655C2×C4C22×C22⋊D1311yescharacteristic
1656C2×C4C22×C22⋊D1311yescharacteristic
1657C2×C4C22×C22⋊D1311yescharacteristic
1658C2×C4C22×C22⋊D1311yescharacteristic
1659C2×C4C24×D1311yescharacteristic
1660C8—261no—
1661C8—261no—
1662C8—261no—
1663C8—261no—
1664C8—261no—
1665C8—261no—
1666C8—261no—
1667C8—261no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—262no—
1681C22—521no—
1682C22—521no—
1683C22—521no—
1684C22—521no—
1685C22—521no—
1686C22—2082no—
1687C22C23×C22⋊D1311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C4—521no—
1711C4—521no—
1712C4D13×H(5,𝔽2)11yescharacteristic
1713C4#1171965011yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—81no—
1718C2—522no—
1719C2—1041no—
1720C2#1312849811yescharacteristic
1721C2#1312962311yescharacteristic
1722C2#1312962311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3552C2
socleC22×C13C23×D4
hypercenter#3552D13
hypocenterC13#62080
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #13128908C2semidirect
2. #13127911C2semidirect
3. #13127863C2semidirect
4. #13127657C2semidirect
5. #13127613C2semidirect
6. #13127119C2semidirect
7. #13127089C2semidirect
8. #13127007C2semidirect
9. #13126932C2semidirect
10. #13126902C2semidirect
11. #13126887C2semidirect
12. #13126482C2semidirect
13. #13126468C2semidirect
14. #13126392C2semidirect
15. #13126362C2semidirect
16. #13126347C2semidirect
17. #13126347C2semidirect
18. #13126286C2semidirect
19. #13126256C2semidirect
20. #13126232C2semidirect
21. #13125945C2semidirect
22. #13125919C2semidirect
23. #13125863C2semidirect
24. #13125083C2semidirect
25. #13125044C2semidirect
26. #13124939C2semidirect
27. #13124382C2semidirect
28. #13124344C2semidirect
29. #13124319C2semidirect
30. #13124006C2semidirect
31. C13×#3552C2semidirect
34. C13×#557C22semidirect
35. C13×#556C22semidirect
40. D4×Q8×C13C22semidirect
42. C13×#548C22semidirect
47. C13×#541C22semidirect
51. C13×#536C22semidirect
52. C2×C13×C4⋊Q8C22semidirect
54. C13×#529C22semidirect
85. #11718900C22semidirect
88. #11718893C22semidirect
91. #11718889C22semidirect
92. #11718889C22semidirect
93. #11718889C22semidirect
98. #11718886C22semidirect
99. #11718886C22semidirect
100. C2×#88075C22semidirect
101. #11718753C22semidirect
102. #11718751C22semidirect
103. #11718751C22semidirect
104. #11718751C22semidirect
105. #11718751C22semidirect
106. #11718751C22semidirect
107. #11718751C22semidirect
108. #11718751C22semidirect
121. #11718743C22semidirect
122. #11718743C22semidirect
123. #11718743C22semidirect
124. #11718742C22semidirect
127. #11718724C22semidirect
128. #11718724C22semidirect
129. #11718721C22semidirect
136. #11718717C22semidirect
137. #11718716C22semidirect
138. #11718715C22semidirect
139. #11718715C22semidirect
140. #11718715C22semidirect
143. #11718713C22semidirect
144. #11718713C22semidirect
147. #11718712C22semidirect
158. #11718706C22semidirect
159. #11718705C22semidirect
160. #11718704C22semidirect
161. #11718703C22semidirect
164. #11718696C22semidirect
165. #11718692C22semidirect
166. #11718692C22semidirect
167. #11718691C22semidirect
168. #11718691C22semidirect
169. C4×#6107C22semidirect
180. #11718685C22semidirect
181. #11718685C22semidirect
182. #11718683C22semidirect
183. #11718683C22semidirect
184. #11718683C22semidirect
185. #11718682C22semidirect
186. #11718681C22semidirect
187. #11718679C22semidirect
191. #11718673C22semidirect
195. #11718672C22semidirect
196. #11718670C22semidirect
198. #11718661C22semidirect
200. #11718660C22semidirect
201. #11718587C22semidirect
202. #11718585C22semidirect
704. #3552D13semidirect
846. #557C2×D13semidirect
849. #556C2×D13semidirect
861. D4×Q8C2×D13semidirect
863. #548C2×D13semidirect
873. #541C2×D13semidirect
879. #536C2×D13semidirect
880. C2×C4⋊Q8C2×D13semidirect
884. #529C2×D13semidirect
1564. C13#62080semidirect

Maximal subgroups

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

subgroupindex
#131289082
#131279112
#131278632
#131276572
#131276132
#131271192
#131270892
#131270072
#131269322
#131269022
#131268872
#131264822
#131264682
#131263922
#131263622
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