Finite Group Databasebeta

← #16744918

Subgroups — #16744918

Order 3328.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128441C211yesmaximal, characteristic, complemented
2#13128393C211yesmaximal, characteristic, complemented
3#13127899C211yesmaximal, characteristic, complemented
4#13127789C211yesmaximal, characteristic, complemented
5#13127664C211yesmaximal, characteristic, complemented
6#13127588C211yesmaximal, characteristic, complemented
7#13127336C211yesmaximal, characteristic, complemented
8#13127284C211yesmaximal, characteristic, complemented
9#13127208C211yesmaximal, characteristic, complemented
10#13126912C211yesmaximal, characteristic, complemented
11#13126858C211yesmaximal, characteristic, complemented
12#13126814C211yesmaximal, characteristic, complemented
13#13126681C211yesmaximal, characteristic, complemented
14#13126672C211yesmaximal, characteristic, complemented
15#13126519C211yesmaximal, characteristic, complemented
16#13126357C211yesmaximal, characteristic, complemented
17#13126314C211yesmaximal, characteristic, complemented
18#13125558C211yesmaximal, characteristic, complemented
19#13125548C211yesmaximal, characteristic, complemented
20#13125529C211yesmaximal, characteristic, complemented
21#13124982C211yesmaximal, characteristic, complemented
22#13124973C211yesmaximal, characteristic, complemented
23#13124969C211yesmaximal, characteristic, complemented
24#13124948C211yesmaximal, characteristic, complemented
25#13124938C211yesmaximal, characteristic, complemented
26#13124937C211yesmaximal, characteristic, complemented
27#13123846C211yesmaximal, characteristic, complemented
28#13123640C211yesmaximal, characteristic, complemented
29#13123632C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C13×#3319C211yesmaximal, characteristic, complemented
32C13×#555C2211yescharacteristic, complemented
33C13×#546C2211yescharacteristic, complemented
34#11719534C2211yescharacteristic
35#41×Dic13C2211yescharacteristic, complemented
36C2×#88204C2211yescharacteristic
37D4×C22⋊D13C2211yescharacteristic
38C2×D4×Dic13C2211yescharacteristic, complemented
39C2×#88186C2211yescharacteristic
40C2×D8×D13C2211yescharacteristic
41#11719435C2211yescharacteristic, complemented
42#11719433C2211yescharacteristic, complemented
43#11719386C2211yescharacteristic, complemented
44#11719385—21no—
45#11719385—21no—
46#11719385C2211yescharacteristic
47#11719384—21no—
48#11719384—21no—
49#11719363—21no—
50#11719354—21no—
51#11719340C2211yescharacteristic
52#11719329C2211yescharacteristic, complemented
53#11719319—21no—
54#11719319C2211yescharacteristic
55#11719317C2211yescharacteristic
56#11719317C2211yescharacteristic, complemented
57#11719311—21no—
58#11719311—21no—
59#11719306—21no—
60#11719305C2211yescharacteristic, complemented
61#11719305C2211yescharacteristic, complemented
62#11719301C2211yescharacteristic, complemented
63#11719296—21no—
64#11719291—21no—
65#11719270C2211yescharacteristic, complemented
66#11719256C2211yescharacteristic, complemented
67C4×D4×D13C2211yescharacteristic
68C4×D4×D13C2211yescharacteristic, complemented
69#11719247C2211yescharacteristic, complemented
70#11719244C2211yescharacteristic, complemented
71C4×#6129C2211yescharacteristic
72#11719234—21no—
73#11719234C2211yescharacteristic
74#11719234C2211yescharacteristic, complemented
75#11719227C2211yescharacteristic, complemented
76#11719227C2211yescharacteristic, complemented
77D13×#117—21no—
78#11719200—21no—
79C2×#88135—21no—
80C13×#489C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#482C2211yescharacteristic, complemented
83C13×#474C2211yescharacteristic, complemented
84C13×#468C2211yescharacteristic, complemented
85C13×#466C2211yescharacteristic, complemented
86C13×#463C2211yescharacteristic, complemented
87C13×#449C2211yescharacteristic
88C13×#447C2211yescharacteristic
89C13×#442C2211yescharacteristic
90C13×#435C2211yescharacteristic, complemented
91C13×#418C2211yescharacteristic, complemented
92C13×#416C2211yescharacteristic, complemented
93#11718900C2211yescharacteristic, complemented
94#11718879C2211yescharacteristic, complemented
95#11718830C2211yescharacteristic, complemented
96#11718829C2211yescharacteristic, complemented
97#11718827C2211yescharacteristic, complemented
98#11718825C2211yescharacteristic, complemented
99#11718817C2211yescharacteristic
100#11718815C2211yescharacteristic
101#11718814C2211yescharacteristic
102#11718814C2211yescharacteristic
103#11718814C2211yescharacteristic, complemented
104#11718813C2211yescharacteristic
105#11718813C2211yescharacteristic, complemented
106#11718795C2211yescharacteristic, complemented
107#11718794C2211yescharacteristic, complemented
108#11718788C2211yescharacteristic
109M16×Dic13C2211yescharacteristic, complemented
110#11718775C2211yescharacteristic, complemented
111#11718774C2211yescharacteristic, complemented
112C8×C22⋊D13C2211yescharacteristic, complemented
113C2×#88055C2211yescharacteristic, complemented
114#11718748C2211yescharacteristic, complemented
115#11718741C2211yescharacteristic, complemented
116#11718721C2211yescharacteristic, complemented
117#11718718C2211yescharacteristic, complemented
118#11718713C2211yescharacteristic, complemented
119#11718708C2211yescharacteristic, complemented
120#11718702C2211yescharacteristic, complemented
121#11718700C2211yescharacteristic
122#11718699C2211yescharacteristic, complemented
123#11718698C2211yescharacteristic, complemented
124#11718696C2211yescharacteristic, complemented
125#11718694C2211yescharacteristic, complemented
126#11718680C2211yescharacteristic, complemented
127#11718675C2211yescharacteristic
128#11718675C2211yescharacteristic, complemented
129#11718672C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718664C2211yescharacteristic, complemented
133#11718659C2211yescharacteristic, complemented
134#11718656C2211yescharacteristic, complemented
135#11718552C2211yescharacteristic, complemented
136#11718551C2211yescharacteristic, complemented
137#11718550C2211yescharacteristic, complemented
138#11718550C2211yescharacteristic, complemented
139#11718545C2211yescharacteristic, complemented
140#11718545C2211yescharacteristic, complemented
141#11718539C2211yescharacteristic, complemented
142#11718537C2211yescharacteristic, complemented
143#11718530C2211yescharacteristic, complemented
144D13×#106C2211yescharacteristic, complemented
145#11718518C2211yescharacteristic, complemented
146#11718515C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718502C2211yescharacteristic, complemented
149#11718496C2211yescharacteristic, complemented
150#11718489C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718478C2211yescharacteristic, complemented
153#11718478C2211yescharacteristic, complemented
154#11718474C2211yescharacteristic, complemented
155#11718474C2211yescharacteristic, complemented
156#11718466C2211yescharacteristic, complemented
157#11718461C2211yescharacteristic, complemented
158#11718460C2211yescharacteristic, complemented
159#11718459C2211yescharacteristic, complemented
160#11718450C2211yescharacteristic, complemented
161#11718450C2211yescharacteristic, complemented
162#11718450C2211yescharacteristic, complemented
163#11718447C2211yescharacteristic
164#11718446C2211yescharacteristic
165#11718446C2211yescharacteristic
166#11718446C2211yescharacteristic, complemented
167#11718446C2211yescharacteristic, complemented
168#11718439C2211yescharacteristic
169#11718439C2211yescharacteristic
170#11718437C2211yescharacteristic
171#11718437C2211yescharacteristic
172#11718435C2211yescharacteristic
173D13×#102C2211yescharacteristic
174D13×#102C2211yescharacteristic, complemented
175#11718429C2211yescharacteristic, complemented
176#11718427C2211yescharacteristic, complemented
177#11718426C2211yescharacteristic, complemented
178#11718425C2211yescharacteristic, complemented
179#11718424C2211yescharacteristic, complemented
180#11718424C2211yescharacteristic, complemented
181#11718423C2211yescharacteristic, complemented
182#11718419C2211yescharacteristic, complemented
183#11718419C2211yescharacteristic, complemented
184#11718418C2211yescharacteristic, complemented
185#11718418C2211yescharacteristic, complemented
186#11718418C2211yescharacteristic, complemented
187#11718418C2211yescharacteristic, complemented
188#11718418C2211yescharacteristic, complemented
189#11718417C2211yescharacteristic
190#11718417C2211yescharacteristic, complemented
191#11718395C2211yescharacteristic
192#11718395C2211yescharacteristic, complemented
193#11718389C2211yescharacteristic
194#11718386C2211yescharacteristic, complemented
195#11718384C2211yescharacteristic, complemented
196#11718382C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199#11718372C2211yescharacteristic, complemented
200D13×#97C2211yescharacteristic, complemented
201#11718364C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C22×C22⋊D13—21no—
206C23×Dic13—21no—
207C2×#6129—21no—
208C2×#6129D411yescharacteristic
209C2×D4×D13C2311yescharacteristic
210C2×D4×D13C2311yescharacteristic
211C2×#6127C2311yescharacteristic
212C2×#6127C2311yescharacteristic
213C22×C4×D13—21no—
214C22×C4×D13—21no—
215C2×C13×SD16C2311yescharacteristic
216C2×C13×D8C2311yescharacteristic
217C2×C13×D8C2311yescharacteristic
218C2×C13×M16C2311yescharacteristic
219C22×C8×C13C2311yescharacteristic
220C13×C4⋊Q8C2311yescharacteristic
221C13×#124—21no—
222C13×#124—21no—
223C13×#124C2311yescharacteristic
224C13×#123—21no—
225C13×C22⋊Q8C2311yescharacteristic
226C13×#121—21no—
227C13×#121—21no—
228C13×#121C2311yescharacteristic
229C13×#121C2311yescharacteristic
230C13×#121C2311yescharacteristic
231C13×#120—21no—
232C4×D4×C13C2311yescharacteristic
233C4×D4×C13C2311yescharacteristic
234C4×D4×C13C2311yescharacteristic
235C13×#117—21no—
236C13×#117C2311yescharacteristic
237C13×#117C2311yescharacteristic
238C2×C13×C22⋊C4—21no—
239#88207—21no—
240C2×C22⋊Dic13—21no—
241#88204—24no—
242#88201C2311yescharacteristic
243#88200—21no—
244#88200—21no—
245#88200—21no—
246#88200C2311yescharacteristic
247Q8×Dic13—21no—
248Q8×Dic13C2311yescharacteristic
249Q8×Dic13C2311yescharacteristic
250C2×#6107C2311yescharacteristic
251C2×#6107C2311yescharacteristic
252C2×#6106C2311yescharacteristic
253#88194C2311yescharacteristic
254#88193—21no—
255#88193—21no—
256#88193—21no—
257#88193—21no—
258#88192—21no—
259#88192—21no—
260#88192—21no—
261#88192—21no—
262#88192C2311yescharacteristic
263#88191—21no—
264#88191—21no—
265#88191—21no—
266#88191—21no—
267#88190C2311yescharacteristic
268#88190C2311yescharacteristic
269#88189—21no—
270#88189—21no—
271#88189—21no—
272D4×Dic13—21no—
273D4×Dic13—21no—
274D4×Dic13—21no—
275D4×Dic13—21no—
276D4×Dic13—21no—
277D4×Dic13—21no—
278D4×Dic13D411yescharacteristic
279D4×Dic13C2311yescharacteristic
280D4×Dic13C2311yescharacteristic
281D4×Dic13C2311yescharacteristic
282D4×Dic13C2311yescharacteristic
283D4×Dic13C2311yescharacteristic
284D4×Dic13C2311yescharacteristic
285C2×#6105C2311yescharacteristic
286C2×#6105C2311yescharacteristic
287C2×#6105C2311yescharacteristic
288C2×#6105C2311yescharacteristic
289#88186—24no—
290C2×#6104C2311yescharacteristic
291C2×#6104C2311yescharacteristic
292C2×#6104C2311yescharacteristic
293#88184C2311yescharacteristic
294#88184C2311yescharacteristic
295#88183—21no—
296C4×C22⋊D13—21no—
297C4×C22⋊D13—21no—
298C4×C22⋊D13C2311yescharacteristic
299C4×C22⋊D13C2311yescharacteristic
300C2×#6103—21no—
301#88180—21no—
302#88180—21no—
303#88180C2311yescharacteristic
304C2×C4⋊Dic13C2311yescharacteristic
305#88178—21no—
306#88178—21no—
307#88178C2311yescharacteristic
308#88178C2311yescharacteristic
309C2×#6101—21no—
310C2×C4×Dic13—21no—
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×#6099C2311yescharacteristic
314C22×#1055C2311yescharacteristic
315D8×D13—24no—
316C2×D104C2311yescharacteristic
317C2×#6095C2311yescharacteristic
318C2×#6095C2311yescharacteristic
319C2×C8×D13C2311yescharacteristic
320C2×C8×D13C2311yescharacteristic
321#88152—21no—
322#88152—21no—
323#88151—21no—
324#88151—21no—
325#88151C2311yescharacteristic
326#88151C2311yescharacteristic
327#88147C2311yescharacteristic
328#88147C2311yescharacteristic
329#88147C2311yescharacteristic
330#88147C2311yescharacteristic
331#88146—21no—
332#88146—21no—
333#88146D411yescharacteristic
334C4⋊C4×D13—21no—
335C4⋊C4×D13—21no—
336C4⋊C4×D13C2311yescharacteristic
337C4⋊C4×D13C2311yescharacteristic
338#88144—21no—
339#88144C2311yescharacteristic
340#88144C2311yescharacteristic
341#88144C2311yescharacteristic
342#88143—21no—
343#88142C2311yescharacteristic
344#88141D411yescharacteristic
345#88141C2311yescharacteristic
346#88141C2311yescharacteristic
347#88141C2311yescharacteristic
348#88141C2311yescharacteristic
349#88140—21no—
350#88140—21no—
351#88139—21no—
352#88139—21no—
353#88137—21no—
354#88137—21no—
355#88137—21no—
356#88137—21no—
357#88137—21no—
358#88137—21no—
359#88137—21no—
360#88137—21no—
361#88137—21no—
362#88135—21no—
363#88135—21no—
364#88135—21no—
365#88135—21no—
366#88135—21no—
367#88135—21no—
368#88135—21no—
369#88135—21no—
370#88135—21no—
371#88135—21no—
372#88135—21no—
373#88135—21no—
374#88135—21no—
375#88135D411yescharacteristic
376#88135D411yescharacteristic
377C22⋊C4×D13—21no—
378C22⋊C4×D13—21no—
379C22⋊C4×D13—21no—
380C22⋊C4×D13—21no—
381#88133—21no—
382#88133—21no—
383#88133—21no—
384#88133—21no—
385#88133—21no—
386#88133—21no—
387#88133—21no—
388#88133—21no—
389#88132—21no—
390#88132—21no—
391#88132—21no—
392#88131—21no—
393#88131—21no—
394#88131—21no—
395#88131D411yescharacteristic
396#88131D411yescharacteristic
397C4×D52C2311yescharacteristic
398C4×D52C2311yescharacteristic
399#88126—21no—
400#88126—21no—
401#88126—21no—
402#88126—21no—
403C42×D13—21no—
404C42×D13—21no—
405C42×D13C2311yescharacteristic
406#88124—21no—
407#88124—21no—
408#88124C2311yescharacteristic
409#88123C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#107C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#103C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#102C2311yescharacteristic
424C13×#102C2311yescharacteristic
425C13×C22⋊C8C2311yescharacteristic
426C13×C22⋊C8C2311yescharacteristic
427C13×#97C2311yescharacteristic
428#88075C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88060C2311yescharacteristic
441#88060C2311yescharacteristic
442#88058C2311yescharacteristic
443#88057C2311yescharacteristic
444#88057C2311yescharacteristic
445#88056C2311yescharacteristic
446#88056C2311yescharacteristic
447#88056C2311yescharacteristic
448#88056C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88055C2311yescharacteristic
452#88055C2311yescharacteristic
453#88055C2311yescharacteristic
454#88055C2311yescharacteristic
455#88055C2311yescharacteristic
456#88055C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459#88054C2311yescharacteristic
460#88054C2311yescharacteristic
461C8×Dic13C2311yescharacteristic
462C8×Dic13C2311yescharacteristic
463#88050C2311yescharacteristic
464#88050C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88048C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480#88043C2311yescharacteristic
481#61454—131nomaximal, Sylow
482C24×C13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C13×#41—22no—
486C13×#41—41no—
487C2×Q8×C13—21no—
488C2×Q8×C13C2411yescharacteristic
489C2×D4×C13—22no—
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—41no—
496C2×D4×C13C2×D411yescharacteristic
497C2×D4×C13C2411yescharacteristic
498C2×D4×C13C2411yescharacteristic
499C2×D4×C13C2411yescharacteristic
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13—21no—
503C22×C4×C13C2411yescharacteristic
504C22×C4×C13C2411yescharacteristic
505C2×C22⋊D13—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C2×C22⋊D13—21no—
510C2×C22⋊D13—21no—
511C2×C22⋊D13—21no—
512C2×C22⋊D13—21no—
513C2×C22⋊D13—21no—
514C2×C22⋊D13—44no—
515C2×C22⋊D13C2×D411yescharacteristic
516C2×C22⋊D13C2×D411yescharacteristic
517C22×Dic13—21no—
518C22×Dic13—21no—
519C22×Dic13—21no—
520C22×Dic13—21no—
521C22×Dic13—21no—
522C22×Dic13—21no—
523C22×Dic13—21no—
524C22×Dic13—82no—
525C22×Dic13C2×D411yescharacteristic
526C22×Dic13C2×D411yescharacteristic
527C22×Dic13C2×D411yescharacteristic
528C22×Dic13C2×D411yescharacteristic
529#6129—42no—
530#6129—82no—
531D4×D13—22no—
532D4×D13—22no—
533D4×D13—41no—
534D4×D13—41no—
535#6127—22no—
536#6127—22no—
537#6127—41no—
538#6127—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×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—44no—
552C2×C4×D13—82no—
553C2×C4×D13C2×D411yescharacteristic
554C2×C4×D13C2×D411yescharacteristic
555C2×C4×D13C2411yescharacteristic
556C2×Dic26—21no—
557C2×Dic26C2×D411yescharacteristic
558C2×Dic26C2411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×SD16—41no—
561C13×D8—22no—
562C13×D8—41no—
563C13×M16—41no—
564C2×C8×C13—41no—
565C2×C8×C13C2411yescharacteristic
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
569C13×C4⋊C4—21no—
570C13×C4⋊C4—21no—
571C13×C4⋊C4C2×D411yescharacteristic
572C13×C4⋊C4C2411yescharacteristic
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4C2×D411yescharacteristic
587C13×C22⋊C4C2×D411yescharacteristic
588C42×C13—21no—
589C42×C13—21no—
590C42×C13C2411yescharacteristic
591C22⋊Dic13—21no—
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—21no—
605C22⋊Dic13C2×D411yescharacteristic
606C22⋊Dic13C2×D411yescharacteristic
607#6107—22no—
608#6107—41no—
609#6106—22no—
610#6105—22no—
611#6105—22no—
612#6105—22no—
613#6105—41no—
614#6104—22no—
615#6104—22no—
616#6104#4114yescomplemented
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103C2×D411yescharacteristic
631#6103C2×D411yescharacteristic
632C4⋊Dic13—21no—
633C4⋊Dic13—21no—
634C4⋊Dic13—21no—
635C4⋊Dic13—21no—
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13—21no—
639C4⋊Dic13—21no—
640C4⋊Dic13—21no—
641C4⋊Dic13—21no—
642C4⋊Dic13C2×D411yescharacteristic
643C4⋊Dic13C2411yescharacteristic
644C4⋊Dic13C2411yescharacteristic
645C4⋊Dic13C2411yescharacteristic
646C4⋊Dic13C2411yescharacteristic
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101C2×D411yescharacteristic
663#6101C2×D411yescharacteristic
664#6101C2×D411yescharacteristic
665#6101C2×D411yescharacteristic
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13C2×D411yescharacteristic
674C4×Dic13C2×D411yescharacteristic
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2411yescharacteristic
680C4×Dic13C2411yescharacteristic
681C4×Dic13C2411yescharacteristic
682#6099—22no—
683C2×#1055—22no—
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688D104—22no—
689#6095—41no—
690#6095—41no—
691C8×D13—22no—
692C8×D13—41no—
693#3481—131no—
694#3475—131no—
695#3401—131no—
696#3389—131no—
697#3376—131no—
698#3370—131no—
699#3347—131no—
700#3344—131no—
701#3337—131no—
702#3319D1311yescharacteristic, complemented
703#3314—131no—
704#3310—131no—
705#3307—131no—
706#3297—131no—
707#3296—131no—
708#3280—131no—
709#3267—131no—
710#3264—131no—
711#3183—131no—
712#3181—131no—
713#3180—131no—
714#3115—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3110—131no—
720#2970—131no—
721C4×AGL(1,ℤ/8)—131no—
722#2943—131no—
723C2×#442—131no—
724C23×C13—21no—
725C23×C13—21no—
726C23×C13—21no—
727C23×C13—42no—
728C23×C13—42no—
729C23×C13—81no—
730C23×C13C22×D411yescharacteristic
731C23×C13C22×D411yescharacteristic
732C22×D13—21no—
733C22×D13—21no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—42no—
737C22×D13—42no—
738C22×D13—81no—
739C22×D13—81no—
740C22×D13C22×D411yescharacteristic
741Q8×C13—21no—
742Q8×C13—21no—
743Q8×C13—81no—
744D4×C13—21no—
745D4×C13—21no—
746D4×C13—21no—
747D4×C13—21no—
748D4×C13—21no—
749D4×C13—41no—
750D4×C13—42no—
751D4×C13—42no—
752D4×C13—81no—
753D4×C13—81no—
754D4×C13—81no—
755D4×C13C2×#4112yes—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—42no—
766C2×C4×C13—42no—
767C2×C4×C13—81no—
768C2×C4×C13C22×D411yescharacteristic
769C2×C4×C13C22×D411yescharacteristic
770C2×C4×C13C22×D411yescharacteristic
771C2×C4×C13C22×D411yescharacteristic
772C2×C4×C13C2511yescharacteristic
773C22⋊D13—22no—
774C22⋊D13—22no—
775C22⋊D13—42no—
776C22⋊D13—42no—
777C22⋊D13—42no—
778C22⋊D13—42no—
779C22⋊D13—42no—
780C22⋊D13—42no—
781C22⋊D13—42no—
782C22⋊D13—81no—
783C22⋊D13—81no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—41no—
791C2×Dic13—41no—
792C2×Dic13—41no—
793C2×Dic13—41no—
794C2×Dic13—42no—
795C2×Dic13—42no—
796C2×Dic13—42no—
797C2×Dic13—42no—
798C2×Dic13—81no—
799C2×Dic13—81no—
800C2×Dic13—81no—
801C2×Dic13C22×D411yescharacteristic
802C2×Dic13C22×D411yescharacteristic
803C2×Dic13C22×D411yescharacteristic
804C2×Dic13C22×D411yescharacteristic
805C2×Dic13C22×D411yescharacteristic
806C2×Dic13C22×D411yescharacteristic
807C2×Dic13C22×D411yescharacteristic
808D52—21no—
809D52—21no—
810D52—21no—
811D52C2×#4112yes—
812C4×D13—22no—
813C4×D13—21no—
814C4×D13—21no—
815C4×D13—41no—
816C4×D13—42no—
817C4×D13—42no—
818C4×D13—42no—
819C4×D13—42no—
820C4×D13—42no—
821C4×D13—42no—
822C4×D13—81no—
823C4×D13—81no—
824C4×D13—81no—
825C4×D13—81no—
826Dic26—21no—
827Dic26—21no—
828Dic26—21no—
829Dic26—21no—
830Dic26—41no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13—21no—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055C2×#4112yes—
840C2×AGL(1,ℤ/8)—131no—
841C2×#135—131no—
842C22×D8—131no—
843#559—131no—
844#556—131no—
845#555C2×D1311yescharacteristic, complemented
846#554—131no—
847#554—131no—
848#554—131no—
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—261no—
865#546C2×D1311yescharacteristic, complemented
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41—131no—
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—261no—
887C2×#117—261no—
888#501—131no—
889#501—131no—
890#499—131no—
891#497—131no—
892#496—131no—
893#495—131no—
894#491—131no—
895#490—131no—
896#489—131no—
897#489C2×D1311yescharacteristic, complemented
898#488—131no—
899#488—131no—
900#485—131no—
901#485C2×D1311yescharacteristic, complemented
902#484—131no—
903#484—131no—
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#482—131no—
909#482C2×D1311yescharacteristic, complemented
910#480—131no—
911#480—131no—
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#475—131no—
921#474—131no—
922#474—131no—
923#474C2×D1311yescharacteristic, complemented
924#470—131no—
925#469—131no—
926#468—131no—
927#468C2×D1311yescharacteristic, complemented
928#467—131no—
929#467—131no—
930#466—131no—
931#466C2×D1311yescharacteristic, complemented
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463C2×D1311yescharacteristic, complemented
944#461—131no—
945#461—131no—
946#460—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#450—131no—
951#450—131no—
952#450—131no—
953#450—131no—
954#449—131no—
955#449—131no—
956#449—131no—
957#449C2×D1311yescharacteristic
958#447—131no—
959#447C2×D1311yescharacteristic
960#446—131no—
961#446—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#442—131no—
969#442—131no—
970#442—131no—
971#442—131no—
972#442C2×D1311yescharacteristic
973#441—131no—
974#441—131no—
975#441—131no—
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440—131no—
986C4×SD16—131no—
987C4×SD16—131no—
988C4×D8—131no—
989C4×D8—131no—
990#435—131no—
991#435—131no—
992#435—131no—
993#435C2×D1311yescharacteristic, complemented
994C8×D4—131no—
995C8×D4—131no—
996#432—131no—
997#432—131no—
998#432—131no—
999#428—131no—
1000#427—131no—
1001C2×#106—131no—
1002#418C2×D1311yescharacteristic, complemented
1003#417—131no—
1004#416—131no—
1005#416C2×D1311yescharacteristic, complemented
1006C2×#102—131no—
1007C2×#102—131no—
1008C4×M16—131no—
1009C2×#97—131no—
1010C2×#97—131no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—21no—
1015C22×C13—22no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—41no—
1024C22×C13—41no—
1025C22×C13—41no—
1026C22×C13—84no—
1027C22×C13C23×D411yescharacteristic
1028C2×D13—21no—
1029C2×D13—21no—
1030C2×D13—22no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—84no—
1037C2×D13—84no—
1038C2×D13#57512yes—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13C22×#4111yescharacteristic
1049C4×C13#58511yescharacteristic
1050Dic13—21no—
1051Dic13—21no—
1052Dic13—21no—
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—21no—
1056Dic13—21no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—131no—
1066C2×#41—261no—
1067C2×#41C22×D1311yescharacteristic
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—261no—
1071C22×D4C22×D1311yescharacteristic
1072C23×C4—261no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—264no—
1076#135—264no—
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×SD16C22×D1311yescharacteristic
1087C2×D8—131no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—264no—
1092C2×D8C22×D1311yescharacteristic
1093C2×D8C22×D1311yescharacteristic
1094C2×M16—131no—
1095C2×M16C22×D1311yescharacteristic
1096C22×C8—131no—
1097C22×C8—131no—
1098C22×C8—131no—
1099C22×C8C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8C22×D1311yescharacteristic
1103#127—131no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—131no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—261no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—21no—
1123#124—21no—
1124#124—131no—
1125#124—131no—
1126#124—131no—
1127#124—261no—
1128#124—261no—
1129#124C22×D1311yescharacteristic
1130#123—21no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—131no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8—261no—
1160C22⋊Q8—261no—
1161C22⋊Q8C22×D1311yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—261no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121C22×D1311yescharacteristic
1176#121C22×D1311yescharacteristic
1177#121C22×D1311yescharacteristic
1178#120—21no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—131no—
1191C4×Q8—131no—
1192C4×Q8—261no—
1193C4×D4—131no—
1194C4×D4—131no—
1195C4×D4—131no—
1196C4×D4—131no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—261no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4—261no—
1231C4×D4C22×D1311yescharacteristic
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—21no—
1235#117—131no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—261no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117C22×D1311yescharacteristic
1251#117C22×D1311yescharacteristic
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—131no—
1254C2×C4⋊C4—131no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4—261no—
1257C2×C4⋊C4—261no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—131no—
1266C2×C42—131no—
1267C2×C42—131no—
1268C2×C42—261no—
1269C2×C42—261no—
1270C2×C42—261no—
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107C22×D1311yescharacteristic
1278#107C22×D1311yescharacteristic
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106—131no—
1286#106C22×D1311yescharacteristic
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8C22×D1311yescharacteristic
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#103C22×D1311yescharacteristic
1303#103C22×D1311yescharacteristic
1304#103C22×D1311yescharacteristic
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102C22×D1311yescharacteristic
1319#102C22×D1311yescharacteristic
1320#102C22×D1311yescharacteristic
1321#102C22×D1311yescharacteristic
1322#102C22×D1311yescharacteristic
1323#102C22×D1311yescharacteristic
1324#102C22×D1311yescharacteristic
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8C22×D1311yescharacteristic
1330C22⋊C8C22×D1311yescharacteristic
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335#97—131no—
1336#97—131no—
1337#97—131no—
1338#97C22×D1311yescharacteristic
1339C4×C8—131no—
1340C4×C8—131no—
1341C2×C13—42no—
1342C2×C13—41no—
1343C2×C13—41no—
1344C2×C13—81no—
1345C2×C13—81no—
1346C2×C13D4×#4111yescharacteristic
1347C2×C13C2×#57511yescharacteristic
1348C2×C13#358511yescharacteristic
1349D13—22no—
1350D13—42no—
1351D13—81no—
1352C24—21no—
1353C24—261no—
1354C24—261no—
1355#41—22no—
1356#41—41no—
1357#41—262no—
1358#41—262no—
1359#41—521no—
1360#41—521no—
1361#41—522no—
1362#41—1042no—
1363C2×Q8—21no—
1364C2×Q8—131no—
1365C2×Q8—131no—
1366C2×Q8—131no—
1367C2×Q8—261no—
1368C2×Q8C23×D1311yescharacteristic
1369C2×D4—22no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—41no—
1376C2×D4—131no—
1377C2×D4—131no—
1378C2×D4—131no—
1379C2×D4—131no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—262no—
1385C2×D4—262no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—521no—
1392C2×D4—521no—
1393C2×D4—524no—
1394C2×D4D4×D1311yescharacteristic
1395C2×D4C23×D1311yescharacteristic
1396C2×D4C23×D1311yescharacteristic
1397C2×D4C23×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—131no—
1402C22×C4—131no—
1403C22×C4—131no—
1404C22×C4—131no—
1405C22×C4—131no—
1406C22×C4—131no—
1407C22×C4—131no—
1408C22×C4—261no—
1409C22×C4—261no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—261no—
1425C22×C4—524no—
1426C22×C4—1042no—
1427C22×C4—1042no—
1428C22×C4C23×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—262no—
1431Q16—521no—
1432SD16—41no—
1433SD16—262no—
1434SD16—262no—
1435SD16—262no—
1436SD16—262no—
1437SD16—521no—
1438SD16—521no—
1439SD16—521no—
1440D8—22no—
1441D8—41no—
1442D8—134no—
1443D8—262no—
1444D8—262no—
1445D8—262no—
1446M16—41no—
1447M16—262no—
1448C2×C8—41no—
1449C2×C8—131no—
1450C2×C8—131no—
1451C2×C8—131no—
1452C2×C8—131no—
1453C2×C8—262no—
1454C2×C8—262no—
1455C2×C8—521no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—131no—
1463C4⋊C4—131no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—261no—
1472C4⋊C4—261no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
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⋊C4—261no—
1495C4⋊C4—261no—
1496C4⋊C4D4×D1311yescharacteristic
1497C4⋊C4C23×D1311yescharacteristic
1498C4⋊C4C23×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—131no—
1512C22⋊C4—131no—
1513C22⋊C4—131no—
1514C22⋊C4—131no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
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⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4D4×D1311yescharacteristic
1543C22⋊C4D4×D1311yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—131no—
1547C42—131no—
1548C42—131no—
1549C42—131no—
1550C42—131no—
1551C42—131no—
1552C42—131no—
1553C42—131no—
1554C42—131no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42—261no—
1560C42—261no—
1561C42—261no—
1562C42C23×D1311yescharacteristic
1563C13#6145411yescharacteristic, complemented, Sylow
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—131no—
1571C23—261no—
1572C23—261no—
1573C23—522no—
1574C23—522no—
1575C23—522no—
1576C23—522no—
1577C23—1041no—
1578C23—1041no—
1579C23C2×D4×D1311yescharacteristic
1580C23C2×D4×D1311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—81no—
1584Q8—261no—
1585Q8—261no—
1586Q8—261no—
1587Q8—261no—
1588Q8—521no—
1589Q8—1041no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—41no—
1596D4—42no—
1597D4—42no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—132no—
1602D4—262no—
1603D4—262no—
1604D4—261no—
1605D4—261no—
1606D4—261no—
1607D4—522no—
1608D4—522no—
1609D4—522no—
1610D4—522no—
1611D4—522no—
1612D4—522no—
1613D4—522no—
1614D4—1041no—
1615D4—1041no—
1616D4#41×D1312yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—81no—
1629C2×C4—131no—
1630C2×C4—131no—
1631C2×C4—131no—
1632C2×C4—131no—
1633C2×C4—131no—
1634C2×C4—131no—
1635C2×C4—131no—
1636C2×C4—262no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—521no—
1646C2×C4—522no—
1647C2×C4—522no—
1648C2×C4—522no—
1649C2×C4—522no—
1650C2×C4—522no—
1651C2×C4—522no—
1652C2×C4—521no—
1653C2×C4—521no—
1654C2×C4—521no—
1655C2×C4—521no—
1656C2×C4—522no—
1657C2×C4—522no—
1658C2×C4—522no—
1659C2×C4—522no—
1660C2×C4—1041no—
1661C2×C4—1041no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4—1041no—
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—132no—
1677C8—261no—
1678C8—261no—
1679C8—261no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—84no—
1696C22—132no—
1697C22—261no—
1698C22—261no—
1699C22—262no—
1700C22—521no—
1701C22—521no—
1702C22—521no—
1703C22—521no—
1704C22—521no—
1705C22—1044no—
1706C22—1044no—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—261no—
1718C4—261no—
1719C4—261no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—261no—
1724C4—521no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C2×#41×D1311yescharacteristic
1731C4#1171965011yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—262no—
1738C2—522no—
1739C2—1041no—
1740C2#1312832011yescharacteristic
1741C2D13×#57511yescharacteristic
1742C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3319C2
socleC22×C13C23×D4
hypercenter#3319D13
hypocenterC13#61454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #13128441C2semidirect
2. #13128393C2semidirect
3. #13127899C2semidirect
4. #13127789C2semidirect
5. #13127664C2semidirect
6. #13127588C2semidirect
7. #13127336C2semidirect
8. #13127284C2semidirect
9. #13127208C2semidirect
10. #13126912C2semidirect
11. #13126858C2semidirect
12. #13126814C2semidirect
13. #13126681C2semidirect
14. #13126672C2semidirect
15. #13126519C2semidirect
16. #13126357C2semidirect
17. #13126314C2semidirect
18. #13125558C2semidirect
19. #13125548C2semidirect
20. #13125529C2semidirect
21. #13124982C2semidirect
22. #13124973C2semidirect
23. #13124969C2semidirect
24. #13124948C2semidirect
25. #13124938C2semidirect
26. #13124937C2semidirect
27. #13123846C2semidirect
28. #13123640C2semidirect
29. #13123632C2semidirect
30. D13×#442C2semidirect
31. C13×#3319C2semidirect
32. C13×#555C22semidirect
33. C13×#546C22semidirect
35. #41×Dic13C22semidirect
38. C2×D4×Dic13C22semidirect
41. #11719435C22semidirect
42. #11719433C22semidirect
43. #11719386C22semidirect
52. #11719329C22semidirect
56. #11719317C22semidirect
60. #11719305C22semidirect
61. #11719305C22semidirect
62. #11719301C22semidirect
65. #11719270C22semidirect
66. #11719256C22semidirect
68. C4×D4×D13C22semidirect
69. #11719247C22semidirect
70. #11719244C22semidirect
74. #11719234C22semidirect
75. #11719227C22semidirect
76. #11719227C22semidirect
80. C13×#489C22semidirect
81. C13×#485C22semidirect
82. C13×#482C22semidirect
83. C13×#474C22semidirect
84. C13×#468C22semidirect
85. C13×#466C22semidirect
86. C13×#463C22semidirect
90. C13×#435C22semidirect
91. C13×#418C22semidirect
92. C13×#416C22semidirect
93. #11718900C22semidirect
94. #11718879C22semidirect
95. #11718830C22semidirect
96. #11718829C22semidirect
97. #11718827C22semidirect
98. #11718825C22semidirect
103. #11718814C22semidirect
105. #11718813C22semidirect
106. #11718795C22semidirect
107. #11718794C22semidirect
109. M16×Dic13C22semidirect
110. #11718775C22semidirect
111. #11718774C22semidirect
112. C8×C22⋊D13C22semidirect
113. C2×#88055C22semidirect
114. #11718748C22semidirect
115. #11718741C22semidirect
116. #11718721C22semidirect
117. #11718718C22semidirect
118. #11718713C22semidirect
119. #11718708C22semidirect
120. #11718702C22semidirect
122. #11718699C22semidirect
123. #11718698C22semidirect
124. #11718696C22semidirect
125. #11718694C22semidirect
126. #11718680C22semidirect
128. #11718675C22semidirect
129. #11718672C22semidirect
130. #11718670C22semidirect
131. #11718664C22semidirect
132. #11718664C22semidirect
133. #11718659C22semidirect
134. #11718656C22semidirect
135. #11718552C22semidirect
136. #11718551C22semidirect
137. #11718550C22semidirect
138. #11718550C22semidirect
139. #11718545C22semidirect
140. #11718545C22semidirect
141. #11718539C22semidirect
142. #11718537C22semidirect
143. #11718530C22semidirect
144. D13×#106C22semidirect
145. #11718518C22semidirect
146. #11718515C22semidirect
147. #11718508C22semidirect
148. #11718502C22semidirect
149. #11718496C22semidirect
150. #11718489C22semidirect
151. #11718480C22semidirect
152. #11718478C22semidirect
153. #11718478C22semidirect
154. #11718474C22semidirect
155. #11718474C22semidirect
156. #11718466C22semidirect
157. #11718461C22semidirect
158. #11718460C22semidirect
159. #11718459C22semidirect
160. #11718450C22semidirect
161. #11718450C22semidirect
162. #11718450C22semidirect
166. #11718446C22semidirect
167. #11718446C22semidirect
174. D13×#102C22semidirect
175. #11718429C22semidirect
176. #11718427C22semidirect
177. #11718426C22semidirect
178. #11718425C22semidirect
179. #11718424C22semidirect
180. #11718424C22semidirect
181. #11718423C22semidirect
182. #11718419C22semidirect
183. #11718419C22semidirect
184. #11718418C22semidirect
185. #11718418C22semidirect
186. #11718418C22semidirect
187. #11718418C22semidirect
188. #11718418C22semidirect
190. #11718417C22semidirect
192. #11718395C22semidirect
194. #11718386C22semidirect
195. #11718384C22semidirect
196. #11718382C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. #11718372C22semidirect
200. D13×#97C22semidirect
201. #11718364C22semidirect
202. #11718362C22semidirect
616. #6104#41semidirect
702. #3319D13semidirect
845. #555C2×D13semidirect
865. #546C2×D13semidirect
897. #489C2×D13semidirect
901. #485C2×D13semidirect
909. #482C2×D13semidirect
923. #474C2×D13semidirect
927. #468C2×D13semidirect
931. #466C2×D13semidirect
943. #463C2×D13semidirect
993. #435C2×D13semidirect
1002. #418C2×D13semidirect
1005. #416C2×D13semidirect
1563. C13#61454semidirect

Maximal subgroups

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

subgroupindex
#131284412
#131283932
#131278992
#131277892
#131276642
#131275882
#131273362
#131272842
#131272082
#131269122
#131268582
#131268142
#131266812
#131266722
#131265192
#131263572
#131263142
#131255582
#131255482
#131255292
#131249822
#131249732
#131249692
#131249482
#131249382
#131249372
#131238462
#131236402
#131236322
D13×#4422
C13×#33192
#6145413