Finite Group Databasebeta

← #16758213

Subgroups — #16758213

Order 3328.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128780C211yesmaximal, characteristic, complemented
2#13127920C211yesmaximal, characteristic, complemented
3#13127885C211yesmaximal, characteristic, complemented
4#13127613C211yesmaximal, characteristic, complemented
5#13127583C211yesmaximal, characteristic, complemented
6#13127141C211yesmaximal, characteristic, complemented
7#13127104C211yesmaximal, characteristic, complemented
8#13127007C211yesmaximal, characteristic, complemented
9#13126932C211yesmaximal, characteristic, complemented
10#13126842C211yesmaximal, characteristic, complemented
11#13126827C211yesmaximal, characteristic, complemented
12#13126468C211yesmaximal, characteristic, complemented
13#13126436C211yesmaximal, characteristic, complemented
14#13126377C211yesmaximal, characteristic, complemented
15#13126362C211yesmaximal, characteristic, complemented
16#13126347C211yesmaximal, characteristic, complemented
17#13126332C211yesmaximal, characteristic, complemented
18#13126292C211yesmaximal, characteristic, complemented
19#13126247C211yesmaximal, characteristic, complemented
20#13126203C211yesmaximal, characteristic, complemented
21#13125945C211yesmaximal, characteristic, complemented
22#13125897C211yesmaximal, characteristic, complemented
23#13125873C211yesmaximal, characteristic, complemented
24#13125092C211yesmaximal, characteristic, complemented
25#13125014C211yesmaximal, characteristic, complemented
26#13124931C211yesmaximal, characteristic, complemented
27#13124382C211yesmaximal, characteristic, complemented
28#13124344C211yesmaximal, characteristic, complemented
29#13124296C211yesmaximal, characteristic, complemented
30#13124006C211yesmaximal, characteristic, complemented
31C13×#3554C211yesmaximal, characteristic, complemented
32C13×#562—21no—
33C13×#562—21no—
34C13×#559—21no—
35C13×#559C2211yescharacteristic, complemented
36C13×#557C2211yescharacteristic, complemented
37C13×#554—21no—
38C13×#550C2211yescharacteristic, complemented
39D4×Q8×C13C2211yescharacteristic, complemented
40C13×#548C2211yescharacteristic
41C13×#548C2211yescharacteristic, complemented
42C13×#547C2211yescharacteristic
43C13×#547C2211yescharacteristic, complemented
44C13×#542—21no—
45C13×#542C2211yescharacteristic, complemented
46C13×#542C2211yescharacteristic, complemented
47C13×#540—21no—
48C13×#539—21no—
49C13×#539—21no—
50C13×#536C2211yescharacteristic, complemented
51C13×#536C2211yescharacteristic, complemented
52C13×#533C2211yescharacteristic, complemented
53C13×#532C2211yescharacteristic, complemented
54C13×#529C2211yescharacteristic
55C2×#88204C2211yescharacteristic
56C2×#88203C2211yescharacteristic
57C2×#88203C2211yescharacteristic
58C2×#88203C2211yescharacteristic
59C2×#88196C2211yescharacteristic
60C22×#6106C2211yescharacteristic
61#11719414—21no—
62#11719410—21no—
63#11719397—21no—
64#11719383—21no—
65#11719361—21no—
66D13×#123—21no—
67#11719342—21no—
68#11719315—21no—
69#11719290C2211yescharacteristic
70#11719284C2211yescharacteristic
71#11719270C2211yescharacteristic
72#11719260C2211yescharacteristic
73#11719255C2211yescharacteristic
74#11719255C2211yescharacteristic
75D4×D52C2211yescharacteristic
76#11719246C2211yescharacteristic
77#11719240C2211yescharacteristic
78#11719239C2211yescharacteristic
79#11719228C2211yescharacteristic
80#11719226C2211yescharacteristic
81#11719184C2211yescharacteristic
82C2×C4×D52C2211yescharacteristic
83#11718900C2211yescharacteristic, complemented
84#11718900C2211yescharacteristic, complemented
85#11718900C2211yescharacteristic, complemented
86#11718899C2211yescharacteristic
87#11718899C2211yescharacteristic
88#11718899C2211yescharacteristic
89#11718899C2211yescharacteristic, complemented
90#11718899C2211yescharacteristic, complemented
91#11718894C2211yescharacteristic, complemented
92#11718893C2211yescharacteristic, complemented
93#11718893C2211yescharacteristic, complemented
94#11718893C2211yescharacteristic, complemented
95#11718889C2211yescharacteristic, complemented
96#11718888C2211yescharacteristic
97#11718888C2211yescharacteristic, complemented
98#11718888C2211yescharacteristic, complemented
99#11718886C2211yescharacteristic, complemented
100C2×#88075C2211yescharacteristic, complemented
101#11718752C2211yescharacteristic, complemented
102#11718751C2211yescharacteristic, complemented
103#11718751C2211yescharacteristic, complemented
104#11718748C2211yescharacteristic
105#11718748C2211yescharacteristic, complemented
106#11718747C2211yescharacteristic, complemented
107#11718747C2211yescharacteristic, complemented
108#11718746C2211yescharacteristic
109#11718745C2211yescharacteristic, complemented
110#11718744C2211yescharacteristic
111#11718744C2211yescharacteristic
112#11718744C2211yescharacteristic
113#11718744C2211yescharacteristic
114#11718744C2211yescharacteristic, complemented
115#11718744C2211yescharacteristic, complemented
116#11718744C2211yescharacteristic, complemented
117#11718744C2211yescharacteristic, complemented
118#11718743C2211yescharacteristic, complemented
119#11718743C2211yescharacteristic, complemented
120#11718742C2211yescharacteristic, complemented
121#11718735C2211yescharacteristic, complemented
122#11718733C2211yescharacteristic
123#11718733C2211yescharacteristic, complemented
124#11718732C2211yescharacteristic, complemented
125#11718720C2211yescharacteristic, complemented
126#11718719C2211yescharacteristic
127#11718718C2211yescharacteristic
128#11718718C2211yescharacteristic
129#11718718C2211yescharacteristic
130#11718718C2211yescharacteristic
131#11718718C2211yescharacteristic, complemented
132#11718718C2211yescharacteristic, complemented
133#11718718C2211yescharacteristic, complemented
134#11718718C2211yescharacteristic, complemented
135#11718718C2211yescharacteristic, complemented
136#11718717C2211yescharacteristic, complemented
137#11718716C2211yescharacteristic, complemented
138#11718715C2211yescharacteristic, complemented
139#11718715C2211yescharacteristic, complemented
140#11718715C2211yescharacteristic, complemented
141#11718713C2211yescharacteristic, complemented
142#11718713C2211yescharacteristic, complemented
143#11718712C2211yescharacteristic, complemented
144#11718710C2211yescharacteristic
145#11718710C2211yescharacteristic
146#11718710C2211yescharacteristic
147#11718710C2211yescharacteristic, complemented
148#11718709C2211yescharacteristic, complemented
149#11718708C2211yescharacteristic
150#11718707C2211yescharacteristic
151#11718707C2211yescharacteristic
152#11718707C2211yescharacteristic
153#11718706C2211yescharacteristic, complemented
154#11718705C2211yescharacteristic, complemented
155#11718705C2211yescharacteristic, complemented
156#11718705C2211yescharacteristic, complemented
157#11718703C2211yescharacteristic, complemented
158#11718700C2211yescharacteristic, complemented
159#11718699C2211yescharacteristic
160#11718699C2211yescharacteristic, complemented
161#11718698C2211yescharacteristic
162#11718697C2211yescharacteristic
163#11718696C2211yescharacteristic, complemented
164#11718694C2211yescharacteristic, complemented
165C4×#6107C2211yescharacteristic, complemented
166#11718689C2211yescharacteristic, complemented
167#11718689C2211yescharacteristic, complemented
168#11718689C2211yescharacteristic, complemented
169#11718688C2211yescharacteristic
170#11718687C2211yescharacteristic
171#11718687C2211yescharacteristic
172#11718687C2211yescharacteristic
173#11718687C2211yescharacteristic, complemented
174#11718687C2211yescharacteristic, complemented
175#11718687C2211yescharacteristic, complemented
176C4×#6106C2211yescharacteristic
177#11718685C2211yescharacteristic, complemented
178#11718685C2211yescharacteristic, complemented
179#11718683C2211yescharacteristic, complemented
180#11718683C2211yescharacteristic, complemented
181#11718683C2211yescharacteristic, complemented
182#11718682C2211yescharacteristic, complemented
183#11718679C2211yescharacteristic, complemented
184#11718677C2211yescharacteristic, complemented
185#11718676C2211yescharacteristic
186#11718675C2211yescharacteristic
187C4×#6104C2211yescharacteristic
188C4×#6104C2211yescharacteristic, complemented
189#11718673C2211yescharacteristic
190#11718673C2211yescharacteristic, complemented
191#11718672C2211yescharacteristic
192#11718672C2211yescharacteristic, complemented
193#11718672C2211yescharacteristic, complemented
194#11718672C2211yescharacteristic, complemented
195#11718670C2211yescharacteristic, complemented
196#11718668C2211yescharacteristic, complemented
197#11718661C2211yescharacteristic, complemented
198#11718661C2211yescharacteristic, complemented
199#11718660C2211yescharacteristic, complemented
200#11718660C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C2×C13×#41C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic
208C22×Q8×C13C2311yescharacteristic
209C2×#6129—21no—
210C2×D4×D13—21no—
211C2×#6127C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×C4×D13—21no—
215C13×C4⋊Q8—21no—
216C13×C4⋊Q8C2311yescharacteristic
217C13×C4⋊Q8C2311yescharacteristic
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×#125—21no—
229C13×#125—21no—
230C13×#125—21no—
231C13×#125D411yescharacteristic
232C13×#124—21no—
233C13×#124—21no—
234C13×#124—21no—
235C13×#124—21no—
236C13×#124—21no—
237C13×#124D411yescharacteristic
238C13×#124C2311yescharacteristic
239C13×#124C2311yescharacteristic
240C13×#124C2311yescharacteristic
241C13×#124C2311yescharacteristic
242C13×#123—21no—
243C13×#123—21no—
244C13×#123—21no—
245C13×#123—21no—
246C13×#123—21no—
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⋊Q8D411yescharacteristic
268C13×C22⋊Q8C2311yescharacteristic
269C13×C22⋊Q8C2311yescharacteristic
270C13×C22⋊Q8C2311yescharacteristic
271C13×C22⋊Q8C2311yescharacteristic
272C13×#121—21no—
273C13×#121—21no—
274C13×#121—21no—
275C13×#121—21no—
276C13×#121—21no—
277C13×#121—21no—
278C13×#121—21no—
279C13×#121—21no—
280C13×#121D411yescharacteristic
281C13×#121C2311yescharacteristic
282C13×#121C2311yescharacteristic
283C4×Q8×C13—21no—
284C4×Q8×C13—21no—
285C4×Q8×C13C2311yescharacteristic
286C4×Q8×C13C2311yescharacteristic
287C4×Q8×C13C2311yescharacteristic
288C4×Q8×C13C2311yescharacteristic
289C4×Q8×C13C2311yescharacteristic
290C4×D4×C13—21no—
291C4×D4×C13—21no—
292C4×D4×C13—21no—
293C4×D4×C13—21no—
294C4×D4×C13—21no—
295C4×D4×C13—21no—
296C4×D4×C13—21no—
297C4×D4×C13C2311yescharacteristic
298C4×D4×C13C2311yescharacteristic
299C4×D4×C13C2311yescharacteristic
300C4×D4×C13C2311yescharacteristic
301C4×D4×C13C2311yescharacteristic
302C13×#117—21no—
303C13×#117C2311yescharacteristic
304C13×#117C2311yescharacteristic
305C2×C13×C4⋊C4—21no—
306C2×C13×C4⋊C4—21no—
307C2×C42×C13C2311yescharacteristic
308#88204—42no—
309#88203—42no—
310#88203—42no—
311#88203—42no—
312#88201—21no—
313#88200—21no—
314C2×#6107C2311yescharacteristic
315C2×#6107C2311yescharacteristic
316C2×#6107C2311yescharacteristic
317C2×#6107C2311yescharacteristic
318#88196—42no—
319C2×#6106—42no—
320C2×#6106C2311yescharacteristic
321C2×#6106C2311yescharacteristic
322C2×#6106C2311yescharacteristic
323C2×#6106C2311yescharacteristic
324C2×#6106C2311yescharacteristic
325C2×#6106C2311yescharacteristic
326C2×#6106C2311yescharacteristic
327C2×#6106C2311yescharacteristic
328C2×#6106C2311yescharacteristic
329C2×#6106C2311yescharacteristic
330C2×#6106C2311yescharacteristic
331C2×#6106C2311yescharacteristic
332#88193—21no—
333#88191—21no—
334#88191—21no—
335#88189—21no—
336C2×#6105C2311yescharacteristic
337C2×#6105C2311yescharacteristic
338C2×#6104C2311yescharacteristic
339C2×#6104C2311yescharacteristic
340C2×#6104C2311yescharacteristic
341C2×#6104C2311yescharacteristic
342C2×#6104C2311yescharacteristic
343C2×#6104C2311yescharacteristic
344#88184C2311yescharacteristic
345#88184C2311yescharacteristic
346#88184C2311yescharacteristic
347#88184C2311yescharacteristic
348#88183—21no—
349C4×C22⋊D13—21no—
350C2×#6103—21no—
351#88180C2311yescharacteristic
352C2×C4⋊Dic13C2311yescharacteristic
353C2×C4⋊Dic13C2311yescharacteristic
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#88150—21no—
366#88150—21no—
367#88150—21no—
368#88149—21no—
369#88148—21no—
370#88148—21no—
371#88148—21no—
372#88148—21no—
373#88148—21no—
374#88148—21no—
375#88147—21no—
376#88147—21no—
377#88147—21no—
378#88146—21no—
379C4⋊C4×D13—21no—
380C4⋊C4×D13—21no—
381#88143—21no—
382#88140—21no—
383#88140—21no—
384#88139—21no—
385#88138—21no—
386#88138—21no—
387#88138—21no—
388#88138—21no—
389#88137—21no—
390#88137—21no—
391#88136—21no—
392#88136—21no—
393#88135—21no—
394#88135—21no—
395#88135—21no—
396C22⋊C4×D13—21no—
397C22⋊C4×D13—21no—
398C22⋊C4×D13—21no—
399C22⋊C4×D13—21no—
400#88133—21no—
401#88131—21no—
402#88130—21no—
403#88129C2311yescharacteristic
404#88129C2311yescharacteristic
405#88128C2311yescharacteristic
406C4×D52—21no—
407C4×D52—21no—
408C4×D52C2311yescharacteristic
409C4×D52C2311yescharacteristic
410C4×D52C2311yescharacteristic
411C4×D52C2311yescharacteristic
412C4×D52C2311yescharacteristic
413C4×D52C2311yescharacteristic
414C4×D52C2311yescharacteristic
415C4×D52C2311yescharacteristic
416#88126—21no—
417#88124C2311yescharacteristic
418#88124C2311yescharacteristic
419#88123C2311yescharacteristic
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#88072C2311yescharacteristic
439#88072C2311yescharacteristic
440#88072C2311yescharacteristic
441#88072C2311yescharacteristic
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#88049C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88047C2311yescharacteristic
463#88047C2311yescharacteristic
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#62084—131nomaximal, Sylow
485C23×D13—21no—
486C23×D13—21no—
487C13×#41—41no—
488C13×#41—41no—
489C13×#41—41no—
490C13×#41—41no—
491C13×#41—41no—
492C13×#41—41no—
493C13×#41—41no—
494C13×#41—41no—
495C2×Q8×C13—21no—
496C2×Q8×C13—21no—
497C2×Q8×C13—21no—
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×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—21no—
515C2×D4×C13C2×D411yescharacteristic
516C2×D4×C13C2×D411yescharacteristic
517C2×D4×C13C2×D411yescharacteristic
518C2×D4×C13C2411yescharacteristic
519C2×D4×C13C2411yescharacteristic
520C22×C4×C13—21no—
521C22×C4×C13—21no—
522C22×C4×C13—21no—
523C22×C4×C13—21no—
524C22×C4×C13—21no—
525C22×C4×C13—21no—
526C22×C4×C13—21no—
527C22×C4×C13—21no—
528C22×C4×C13C2×D411yescharacteristic
529C22×C4×C13C2×D411yescharacteristic
530C22×C4×C13C2411yescharacteristic
531C22×C4×C13C2411yescharacteristic
532C22×C4×C13C2411yescharacteristic
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—21no—
537C2×C22⋊D13—21no—
538C22×Dic13—21no—
539C22×Dic13—21no—
540#6129—82no—
541D4×D13—82no—
542#6127—22no—
543#6127—41no—
544C2×D52—22no—
545C2×D52—22no—
546C2×D52—21no—
547C2×D52—21no—
548C2×D52—21no—
549C2×D52—21no—
550C2×D52—41no—
551C2×D52—41no—
552C2×D52C2411yescharacteristic
553C2×D52C2411yescharacteristic
554C2×D52C2411yescharacteristic
555C2×C4×D13—21no—
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×C4×D13—21no—
564C2×C4×D13—82no—
565C2×Dic26—21no—
566C2×Dic26C2411yescharacteristic
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⋊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⋊C4—21no—
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⋊C4C2×D411yescharacteristic
594C13×C4⋊C4C2411yescharacteristic
595C13×C4⋊C4C2411yescharacteristic
596C13×C22⋊C4—21no—
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⋊C4—21no—
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
621C13×C22⋊C4C2×D411yescharacteristic
622C42×C13—21no—
623C42×C13—21no—
624C42×C13—21no—
625C42×C13—21no—
626C42×C13C2×D411yescharacteristic
627C42×C13C2×D411yescharacteristic
628C42×C13C2411yescharacteristic
629C42×C13C2411yescharacteristic
630C42×C13C2411yescharacteristic
631C42×C13C2411yescharacteristic
632C22⋊Dic13—21no—
633C22⋊Dic13—21no—
634C22⋊Dic13—21no—
635#6107—41no—
636#6107—41no—
637#6107—41no—
638#6107—41no—
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#6106—41no—
649#6106—41no—
650#6106—41no—
651#6105—41no—
652#6105—41no—
653#6104—22no—
654#6104—22no—
655#6104—41no—
656#6104—41no—
657#6104—41no—
658#6104—41no—
659#6103—21no—
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—
675C4⋊Dic13—21no—
676C4⋊Dic13—21no—
677C4⋊Dic13—21no—
678C4⋊Dic13C2411yescharacteristic
679C4⋊Dic13C2411yescharacteristic
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#3554D1311yescharacteristic, complemented
708#3513—131no—
709#3403—131no—
710#3400—131no—
711#3372—131no—
712#3370—131no—
713#3330—131no—
714#3327—131no—
715#3320—131no—
716#3315—131no—
717#3309—131no—
718#3308—131no—
719#3275—131no—
720#3272—131no—
721#3268—131no—
722#3267—131no—
723#3266—131no—
724#3265—131no—
725#3262—131no—
726#3257—131no—
727#3252—131no—
728#3225—131no—
729#3221—131no—
730#3219—131no—
731#3124—131no—
732#3118—131no—
733#3110—131no—
734#3046—131no—
735#3042—131no—
736#3036—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—42no—
747C22×D13—42no—
748C22×D13—42no—
749C22×D13—81no—
750C22×D13—81no—
751C22×D13—81no—
752Q8×C13—21no—
753Q8×C13—21no—
754Q8×C13—21no—
755Q8×C13—21no—
756Q8×C13—21no—
757Q8×C13—21no—
758Q8×C13—21no—
759Q8×C13—21no—
760Q8×C13—41no—
761Q8×C13—81no—
762Q8×C13—81no—
763Q8×C13—81no—
764D4×C13—21no—
765D4×C13—21no—
766D4×C13—21no—
767D4×C13—21no—
768D4×C13—41no—
769D4×C13—41no—
770D4×C13—41no—
771D4×C13—42no—
772D4×C13—81no—
773D4×C13—81no—
774D4×C13—81no—
775D4×C13—81no—
776D4×C13—81no—
777D4×C13—81no—
778D4×C13—81no—
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—21no—
786C2×C4×C13—21no—
787C2×C4×C13—21no—
788C2×C4×C13—21no—
789C2×C4×C13—21no—
790C2×C4×C13—21no—
791C2×C4×C13—41no—
792C2×C4×C13—41no—
793C2×C4×C13—81no—
794C2×C4×C13—81no—
795C2×C4×C13—81no—
796C2×C4×C13—81no—
797C2×C4×C13—81no—
798C2×C4×C13—81no—
799C2×C4×C13—81no—
800C2×C4×C13—81no—
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×C13C22×D411yescharacteristic
809C2×C4×C13C22×D411yescharacteristic
810C2×C4×C13C22×D411yescharacteristic
811C2×C4×C13C22×D411yescharacteristic
812C2×C4×C13C2511yescharacteristic
813C22⋊D13—42no—
814C22⋊D13—42no—
815C22⋊D13—81no—
816C22⋊D13—81no—
817C22⋊D13—81no—
818C2×Dic13—21no—
819C2×Dic13—21no—
820C2×Dic13—21no—
821C2×Dic13—21no—
822C2×Dic13—21no—
823C2×Dic13—42no—
824C2×Dic13—81no—
825D52—21no—
826D52—21no—
827D52—21no—
828D52—21no—
829D52—21no—
830D52—42no—
831D52—42no—
832D52—81no—
833D52—81no—
834D52H(5,𝔽2)12yes—
835C4×D13—42no—
836C4×D13—81no—
837C4×D13—81no—
838C4×D13—81no—
839C4×D13—81no—
840C4×D13—81no—
841C4×D13—81no—
842C4×D13—81no—
843C4×D13—81no—
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×AGL(1,ℤ/8)—131no—
857C2×AGL(1,ℤ/8)—131no—
858C2×AGL(1,ℤ/8)—131no—
859C2×#135—131no—
860C22×SD16—131no—
861#562—21no—
862#562—21no—
863#559—21no—
864#559—131no—
865#559C2×D1311yescharacteristic, complemented
866#557C2×D1311yescharacteristic, complemented
867#554—21no—
868#554—131no—
869#553—131no—
870#553—261no—
871#552—131no—
872#551—261no—
873#551—261no—
874#550C2×D1311yescharacteristic, complemented
875D4×Q8C2×D1311yescharacteristic, complemented
876#548C2×D1311yescharacteristic
877#548C2×D1311yescharacteristic, complemented
878#547—131no—
879#547C2×D1311yescharacteristic
880#547C2×D1311yescharacteristic, complemented
881#546—131no—
882#546—131no—
883#546—261no—
884D42—131no—
885#542—21no—
886#542—131no—
887#542C2×D1311yescharacteristic, complemented
888#542C2×D1311yescharacteristic, complemented
889#540—21no—
890#540—131no—
891#539—21no—
892#539—21no—
893#539—261no—
894#538—261no—
895#536C2×D1311yescharacteristic, complemented
896#536C2×D1311yescharacteristic, complemented
897#533C2×D1311yescharacteristic, complemented
898#532C2×D1311yescharacteristic, complemented
899#529—131no—
900#529C2×D1311yescharacteristic
901#525—261no—
902C2×#123—261no—
903#520—131no—
904#518—131no—
905C2×C4×D4—131no—
906#497—131no—
907#497—131no—
908#496—131no—
909#496—131no—
910#495—131no—
911#492—131no—
912#491—131no—
913#491—131no—
914#490—131no—
915#489—131no—
916#488—131no—
917#487—131no—
918#485—131no—
919#484—131no—
920#484—131no—
921#484—131no—
922#482—131no—
923#480—131no—
924#479—131no—
925#479—131no—
926#479—131no—
927#478—131no—
928#477—131no—
929#477—131no—
930#476—131no—
931#474—131no—
932#474—131no—
933#474—131no—
934#470—131no—
935#470—131no—
936#469—131no—
937#468—131no—
938#468—131no—
939#468—131no—
940#468—131no—
941#468—131no—
942#467—131no—
943#466—131no—
944#466—131no—
945#465—131no—
946#464—131no—
947#464—131no—
948#464—131no—
949#464—131no—
950#464—131no—
951#464—131no—
952#463—131no—
953#463—131no—
954#463—131no—
955#463—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#461—131no—
965#461—131no—
966#461—131no—
967#461—131no—
968#461—131no—
969#461—131no—
970#461—131no—
971#461—131no—
972#460—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#450—131no—
982#450—131no—
983#450—131no—
984#449—131no—
985#449—131no—
986#449—131no—
987#449—131no—
988#449—131no—
989#449—131no—
990#448—131no—
991#448—131no—
992#448—131no—
993#447—131no—
994#446—131no—
995#446—131no—
996#442—131no—
997#440—131no—
998#440—131no—
999#440—131no—
1000#440—131no—
1001#440—131no—
1002#440—131no—
1003#440—131no—
1004C4×Q16—131no—
1005C4×SD16—131no—
1006C4×D8—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#419—131no—
1021#417—131no—
1022#417—131no—
1023#417—131no—
1024#416—131no—
1025C2×#103—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—22no—
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—84no—
1052C2×D13—162no—
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—21no—
1064C4×C13—41no—
1065C4×C13—41no—
1066C4×C13—41no—
1067C4×C13—41no—
1068C4×C13—41no—
1069C4×C13—41no—
1070C4×C13C2×H(5,𝔽2)11yescharacteristic
1071C4×C13#58511yescharacteristic
1072Dic13—41no—
1073Dic13—41no—
1074Dic13—41no—
1075Dic13—41no—
1076Dic13—41no—
1077C2×#41—131no—
1078C2×#41—261no—
1079C2×#41C22×D1311yescharacteristic
1080C2×#41C22×D1311yescharacteristic
1081C2×#41C22×D1311yescharacteristic
1082C2×#41C22×D1311yescharacteristic
1083C22×Q8C22×D1311yescharacteristic
1084C22×Q8C22×D1311yescharacteristic
1085C22×D4—131no—
1086C22×D4—131no—
1087C22×D4—261no—
1088C23×C4—261no—
1089#137—522no—
1090AGL(1,ℤ/8)—522no—
1091AGL(1,ℤ/8)—522no—
1092AGL(1,ℤ/8)—522no—
1093#135—522no—
1094C2×Q16—131no—
1095C2×Q16—131no—
1096C2×Q16—131no—
1097C2×Q16—131no—
1098C2×SD16—131no—
1099C2×SD16—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×SD16—522no—
1113C2×D8—131no—
1114C2×D8—131no—
1115C2×D8—131no—
1116C2×D8—131no—
1117C2×D8—131no—
1118C2×D8—131no—
1119C2×M16—131no—
1120C2×M16—131no—
1121C2×M16—131no—
1122C2×M16—131no—
1123C22×C8—131no—
1124C22×C8—131no—
1125C4⋊Q8—21no—
1126C4⋊Q8—131no—
1127C4⋊Q8C22×D1311yescharacteristic
1128C4⋊Q8C22×D1311yescharacteristic
1129C4⋊Q8C22×D1311yescharacteristic
1130C4⋊Q8C22×D1311yescharacteristic
1131C4⋊Q8C22×D1311yescharacteristic
1132#127—21no—
1133#127—131no—
1134#127C22×D1311yescharacteristic
1135#126—21no—
1136#126—21no—
1137#126—261no—
1138#126—261no—
1139#126—261no—
1140#126—261no—
1141#126C22⋊D1311yescharacteristic
1142#126C22⋊D1311yescharacteristic
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—131no—
1148#125—131no—
1149#125—261no—
1150#125C22⋊D1311yescharacteristic
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124—21no—
1155#124—21no—
1156#124—131no—
1157#124—131no—
1158#124—261no—
1159#124—261no—
1160#124C22⋊D1311yescharacteristic
1161#124C22×D1311yescharacteristic
1162#124C22×D1311yescharacteristic
1163#124C22×D1311yescharacteristic
1164#124C22×D1311yescharacteristic
1165#123—21no—
1166#123—21no—
1167#123—21no—
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—21no—
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#123—261no—
1188#123—261no—
1189#123C22⋊D1311yescharacteristic
1190#123C22⋊D1311yescharacteristic
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—131no—
1203C22⋊Q8—131no—
1204C22⋊Q8—261no—
1205C22⋊Q8—261no—
1206C22⋊Q8—261no—
1207C22⋊Q8—261no—
1208C22⋊Q8—261no—
1209C22⋊Q8C22⋊D1311yescharacteristic
1210C22⋊Q8C22×D1311yescharacteristic
1211C22⋊Q8C22×D1311yescharacteristic
1212C22⋊Q8C22×D1311yescharacteristic
1213C22⋊Q8C22×D1311yescharacteristic
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—131no—
1223#121—131no—
1224#121—131no—
1225#121—131no—
1226#121—261no—
1227#121—261no—
1228#121—261no—
1229#121—261no—
1230#121—261no—
1231#121—261no—
1232#121C22⋊D1311yescharacteristic
1233#121C22×D1311yescharacteristic
1234#121C22×D1311yescharacteristic
1235#120—261no—
1236#120—261no—
1237#120—261no—
1238#120—261no—
1239C4×Q8—21no—
1240C4×Q8—21no—
1241C4×Q8—131no—
1242C4×Q8—131no—
1243C4×Q8C22×D1311yescharacteristic
1244C4×Q8C22×D1311yescharacteristic
1245C4×Q8C22×D1311yescharacteristic
1246C4×Q8C22×D1311yescharacteristic
1247C4×Q8C22×D1311yescharacteristic
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
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—261no—
1264C4×D4—261no—
1265C4×D4—261no—
1266C4×D4—261no—
1267C4×D4—261no—
1268C4×D4—261no—
1269C4×D4—261no—
1270C4×D4—261no—
1271C4×D4—261no—
1272C4×D4C22×D1311yescharacteristic
1273C4×D4C22×D1311yescharacteristic
1274C4×D4C22×D1311yescharacteristic
1275C4×D4C22×D1311yescharacteristic
1276C4×D4C22×D1311yescharacteristic
1277#117—21no—
1278#117—131no—
1279#117—261no—
1280#117—261no—
1281#117—261no—
1282#117C22×D1311yescharacteristic
1283#117C22×D1311yescharacteristic
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4—131no—
1287C2×C4⋊C4—131no—
1288C2×C4⋊C4—261no—
1289C2×C4⋊C4—261no—
1290C2×C22⋊C4—261no—
1291C2×C22⋊C4—261no—
1292C2×C22⋊C4—261no—
1293C2×C22⋊C4—261no—
1294C2×C22⋊C4—261no—
1295C2×C42C22×D1311yescharacteristic
1296#107—131no—
1297#107—131no—
1298#107—131no—
1299#107—131no—
1300#107—131no—
1301#107—131no—
1302#106—131no—
1303#106—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—
1313C4⋊C8—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#103—131no—
1330#103—131no—
1331#103—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—
1345#102—131no—
1346C22⋊C8—131no—
1347C22⋊C8—131no—
1348C22⋊C8—131no—
1349C22⋊C8—131no—
1350C22⋊C8—131no—
1351C22⋊C8—131no—
1352#97—131no—
1353#97—131no—
1354#97—131no—
1355#97—131no—
1356C4×C8—131no—
1357C4×C8—131no—
1358C2×C13—41no—
1359C2×C13—41no—
1360C2×C13—41no—
1361C2×C13—81no—
1362C2×C13—81no—
1363C2×C13#348811yescharacteristic
1364C2×C13#358511yescharacteristic
1365C2×C13#358611yescharacteristic
1366D13—42no—
1367D13—81no—
1368D13—81no—
1369C24—261no—
1370C24—261no—
1371#41—41no—
1372#41—41no—
1373#41—41no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—262no—
1380#41—521no—
1381#41—1042no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—41no—
1388C2×Q8—41no—
1389C2×Q8—131no—
1390C2×Q8—261no—
1391C2×Q8C2×C22⋊D1311yescharacteristic
1392C2×Q8C23×D1311yescharacteristic
1393C2×Q8C23×D1311yescharacteristic
1394C2×Q8C23×D1311yescharacteristic
1395C2×Q8C23×D1311yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—131no—
1405C2×D4—131no—
1406C2×D4—131no—
1407C2×D4—262no—
1408C2×D4—262no—
1409C2×D4—261no—
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—521no—
1419C2×D4—521no—
1420C2×D4—1042no—
1421C2×D4C2×C22⋊D1311yescharacteristic
1422C2×D4C2×C22⋊D1311yescharacteristic
1423C2×D4C2×C22⋊D1311yescharacteristic
1424C2×D4C23×D1311yescharacteristic
1425C2×D4C23×D1311yescharacteristic
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—261no—
1435C22×C4—261no—
1436C22×C4—261no—
1437C22×C4—261no—
1438C22×C4—261no—
1439C22×C4—261no—
1440C22×C4—261no—
1441C22×C4—261no—
1442C22×C4—261no—
1443C22×C4—261no—
1444C22×C4—261no—
1445C22×C4—1042no—
1446C22×C4C2×C22⋊D1311yescharacteristic
1447C22×C4C2×C22⋊D1311yescharacteristic
1448C22×C4C23×D1311yescharacteristic
1449C22×C4C23×D1311yescharacteristic
1450C22×C4C23×D1311yescharacteristic
1451Q16—521no—
1452Q16—521no—
1453Q16—521no—
1454Q16—521no—
1455SD16—262no—
1456SD16—262no—
1457SD16—262no—
1458SD16—262no—
1459SD16—521no—
1460SD16—521no—
1461SD16—521no—
1462SD16—521no—
1463SD16—521no—
1464SD16—521no—
1465SD16—521no—
1466SD16—521no—
1467SD16—521no—
1468SD16—521no—
1469D8—262no—
1470D8—262no—
1471D8—521no—
1472D8—521no—
1473D8—521no—
1474D8—521no—
1475M16—521no—
1476M16—521no—
1477M16—521no—
1478M16—521no—
1479C2×C8—131no—
1480C2×C8—131no—
1481C2×C8—131no—
1482C2×C8—131no—
1483C2×C8—131no—
1484C2×C8—131no—
1485C2×C8—131no—
1486C2×C8—131no—
1487C2×C8—521no—
1488C2×C8—521no—
1489C4⋊C4—21no—
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—21no—
1505C4⋊C4—21no—
1506C4⋊C4—131no—
1507C4⋊C4—131no—
1508C4⋊C4—131no—
1509C4⋊C4—131no—
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⋊C4—261no—
1519C4⋊C4—261no—
1520C4⋊C4—261no—
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⋊C4C2×C22⋊D1311yescharacteristic
1529C4⋊C4C2×C22⋊D1311yescharacteristic
1530C4⋊C4C2×C22⋊D1311yescharacteristic
1531C4⋊C4C23×D1311yescharacteristic
1532C4⋊C4C23×D1311yescharacteristic
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—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
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⋊C4—261no—
1566C22⋊C4—261no—
1567C22⋊C4—261no—
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
1575C22⋊C4C2×C22⋊D1311yescharacteristic
1576C22⋊C4C2×C22⋊D1311yescharacteristic
1577C22⋊C4C2×C22⋊D1311yescharacteristic
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—261no—
1583C42—261no—
1584C42—261no—
1585C42C2×C22⋊D1311yescharacteristic
1586C42C2×C22⋊D1311yescharacteristic
1587C42C23×D1311yescharacteristic
1588C42C23×D1311yescharacteristic
1589C42C23×D1311yescharacteristic
1590C42C23×D1311yescharacteristic
1591C13#6208411yescharacteristic, complemented, Sylow
1592C23—21no—
1593C23—21no—
1594C23—261no—
1595C23—261no—
1596C23—261no—
1597C23—522no—
1598C23—522no—
1599C23—522no—
1600C23—1041no—
1601C23—1041no—
1602C23—1041no—
1603C23C22×C22⋊D1311yescharacteristic
1604C23C22×C22⋊D1311yescharacteristic
1605C23C22×C22⋊D1311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—41no—
1615Q8—81no—
1616Q8—81no—
1617Q8—81no—
1618Q8—261no—
1619Q8—261no—
1620Q8—1041no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—42no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—132no—
1637D4—261no—
1638D4—261no—
1639D4—261no—
1640D4—261no—
1641D4—261no—
1642D4—522no—
1643D4—522no—
1644D4—522no—
1645D4—522no—
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—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—261no—
1674C2×C4—261no—
1675C2×C4—261no—
1676C2×C4—261no—
1677C2×C4—261no—
1678C2×C4—522no—
1679C2×C4—522no—
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×C4—1041no—
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×C4C22×C22⋊D1311yescharacteristic
1700C2×C4C24×D1311yescharacteristic
1701C8—261no—
1702C8—261no—
1703C8—261no—
1704C8—261no—
1705C8—261no—
1706C8—261no—
1707C8—261no—
1708C8—261no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—262no—
1725C22—521no—
1726C22—521no—
1727C22—521no—
1728C22—521no—
1729C22—521no—
1730C22—521no—
1731C22—521no—
1732C22—521no—
1733C22—1044no—
1734C22—2082no—
1735C22C23×C22⋊D1311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—521no—
1754C4—521no—
1755C4—521no—
1756C4—521no—
1757C4—521no—
1758C4D13×H(5,𝔽2)11yescharacteristic
1759C4#1171965011yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—522no—
1766C2—1041no—
1767C2—1041no—
1768C2#1312849811yescharacteristic
1769C2#1312961511yescharacteristic
1770C2#1312962311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3554C2
socleC22×C13C23×D4
hypercenter#3554D13
hypocenterC13#62084
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3554

Complements

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

NH ≅ G/Ntype
1. #13128780C2semidirect
2. #13127920C2semidirect
3. #13127885C2semidirect
4. #13127613C2semidirect
5. #13127583C2semidirect
6. #13127141C2semidirect
7. #13127104C2semidirect
8. #13127007C2semidirect
9. #13126932C2semidirect
10. #13126842C2semidirect
11. #13126827C2semidirect
12. #13126468C2semidirect
13. #13126436C2semidirect
14. #13126377C2semidirect
15. #13126362C2semidirect
16. #13126347C2semidirect
17. #13126332C2semidirect
18. #13126292C2semidirect
19. #13126247C2semidirect
20. #13126203C2semidirect
21. #13125945C2semidirect
22. #13125897C2semidirect
23. #13125873C2semidirect
24. #13125092C2semidirect
25. #13125014C2semidirect
26. #13124931C2semidirect
27. #13124382C2semidirect
28. #13124344C2semidirect
29. #13124296C2semidirect
30. #13124006C2semidirect
31. C13×#3554C2semidirect
35. C13×#559C22semidirect
36. C13×#557C22semidirect
38. C13×#550C22semidirect
39. D4×Q8×C13C22semidirect
41. C13×#548C22semidirect
43. C13×#547C22semidirect
45. C13×#542C22semidirect
46. C13×#542C22semidirect
50. C13×#536C22semidirect
51. C13×#536C22semidirect
52. C13×#533C22semidirect
53. C13×#532C22semidirect
83. #11718900C22semidirect
84. #11718900C22semidirect
85. #11718900C22semidirect
89. #11718899C22semidirect
90. #11718899C22semidirect
91. #11718894C22semidirect
92. #11718893C22semidirect
93. #11718893C22semidirect
94. #11718893C22semidirect
95. #11718889C22semidirect
97. #11718888C22semidirect
98. #11718888C22semidirect
99. #11718886C22semidirect
100. C2×#88075C22semidirect
101. #11718752C22semidirect
102. #11718751C22semidirect
103. #11718751C22semidirect
105. #11718748C22semidirect
106. #11718747C22semidirect
107. #11718747C22semidirect
109. #11718745C22semidirect
114. #11718744C22semidirect
115. #11718744C22semidirect
116. #11718744C22semidirect
117. #11718744C22semidirect
118. #11718743C22semidirect
119. #11718743C22semidirect
120. #11718742C22semidirect
121. #11718735C22semidirect
123. #11718733C22semidirect
124. #11718732C22semidirect
125. #11718720C22semidirect
131. #11718718C22semidirect
132. #11718718C22semidirect
133. #11718718C22semidirect
134. #11718718C22semidirect
135. #11718718C22semidirect
136. #11718717C22semidirect
137. #11718716C22semidirect
138. #11718715C22semidirect
139. #11718715C22semidirect
140. #11718715C22semidirect
141. #11718713C22semidirect
142. #11718713C22semidirect
143. #11718712C22semidirect
147. #11718710C22semidirect
148. #11718709C22semidirect
153. #11718706C22semidirect
154. #11718705C22semidirect
155. #11718705C22semidirect
156. #11718705C22semidirect
157. #11718703C22semidirect
158. #11718700C22semidirect
160. #11718699C22semidirect
163. #11718696C22semidirect
164. #11718694C22semidirect
165. C4×#6107C22semidirect
166. #11718689C22semidirect
167. #11718689C22semidirect
168. #11718689C22semidirect
173. #11718687C22semidirect
174. #11718687C22semidirect
175. #11718687C22semidirect
177. #11718685C22semidirect
178. #11718685C22semidirect
179. #11718683C22semidirect
180. #11718683C22semidirect
181. #11718683C22semidirect
182. #11718682C22semidirect
183. #11718679C22semidirect
184. #11718677C22semidirect
188. C4×#6104C22semidirect
190. #11718673C22semidirect
192. #11718672C22semidirect
193. #11718672C22semidirect
194. #11718672C22semidirect
195. #11718670C22semidirect
196. #11718668C22semidirect
197. #11718661C22semidirect
198. #11718661C22semidirect
199. #11718660C22semidirect
200. #11718660C22semidirect
201. #11718587C22semidirect
202. #11718585C22semidirect
707. #3554D13semidirect
865. #559C2×D13semidirect
866. #557C2×D13semidirect
874. #550C2×D13semidirect
875. D4×Q8C2×D13semidirect
877. #548C2×D13semidirect
880. #547C2×D13semidirect
887. #542C2×D13semidirect
888. #542C2×D13semidirect
895. #536C2×D13semidirect
896. #536C2×D13semidirect
897. #533C2×D13semidirect
898. #532C2×D13semidirect
1591. C13#62084semidirect

Maximal subgroups

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

subgroupindex
#131287802
#131279202
#131278852
#131276132
#131275832
#131271412
#131271042
#131270072
#131269322
#131268422
#131268272
#131264682
#131264362
#131263772
#131263622
#131263472
#131263322
#131262922
#131262472
#131262032
#131259452
#131258972
#131258732
#131250922
#131250142
#131249312
#131243822
#131243442
#131242962
#131240062
C13×#35542
#6208413