Finite Group Databasebeta

← #16750278

Subgroups — #16750278

Order 3328.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128663C211yesmaximal, characteristic
2D13×#552C211yesmaximal, characteristic, complemented
3#13127222C211yesmaximal, characteristic, complemented
4#13127220C211yesmaximal, characteristic, complemented
5#13127210C211yesmaximal, characteristic, complemented
6#13127208C211yesmaximal, characteristic, complemented
7#13127207C211yesmaximal, characteristic, complemented
8#13127205C211yesmaximal, characteristic, complemented
9#13127202C211yesmaximal, characteristic, complemented
10#13127198C211yesmaximal, characteristic, complemented
11#13126730C211yesmaximal, characteristic, complemented
12#13126724C211yesmaximal, characteristic, complemented
13#13126722C211yesmaximal, characteristic, complemented
14#13126716C211yesmaximal, characteristic, complemented
15#13126675C211yesmaximal, characteristic, complemented
16#13126671C211yesmaximal, characteristic, complemented
17#13126667C211yesmaximal, characteristic, complemented
18#13126002C211yesmaximal, characteristic, complemented
19#13125999C211yesmaximal, characteristic, complemented
20#13125615C211yesmaximal, characteristic, complemented
21#13125612C211yesmaximal, characteristic, complemented
22#13125607C211yesmaximal, characteristic, complemented
23#13125590C211yesmaximal, characteristic, complemented
24#13124915C211yesmaximal, characteristic, complemented
25#13124914C211yesmaximal, characteristic, complemented
26#13124748C211yesmaximal, characteristic, complemented
27#13124747C211yesmaximal, characteristic, complemented
28D13×#483C211yesmaximal, characteristic, complemented
29C2×#11718435C211yesmaximal, characteristic, complemented
30#13123857C211yesmaximal, characteristic, complemented
31C13×#3296C211yesmaximal, characteristic, complemented
32C13×#552C2211yescharacteristic
33C13×#546C2211yescharacteristic
34#11719536C2211yescharacteristic
35#11719533C2211yescharacteristic
36#11719511C2211yescharacteristic
37C2×#88192C2211yescharacteristic
38#11719413—21no—
39D13×#126—21no—
40#11719399C2211yescharacteristic, complemented
41#11719398—21no—
42D13×#125—21no—
43D13×#125C2211yescharacteristic, complemented
44#11719385C2211yescharacteristic
45#11719382C2211yescharacteristic
46#11719366—21no—
47#11719365—21no—
48D13×#123—21no—
49#11719355—21no—
50#11719347C2211yescharacteristic
51#11719347C2211yescharacteristic
52#11719344C2211yescharacteristic, complemented
53D13×C22⋊Q8C2211yescharacteristic
54D13×C22⋊Q8C2211yescharacteristic
55D13×C22⋊Q8C2211yescharacteristic, complemented
56#11719319—21no—
57#11719319C2211yescharacteristic
58#11719318—21no—
59#11719311C2211yescharacteristic
60#11719294—21no—
61#11719292—21no—
62#11719286C2211yescharacteristic, complemented
63C4×Q8×D13C2211yescharacteristic, complemented
64#11719263C2211yescharacteristic
65#11719262C2211yescharacteristic
66C4×D4×D13C2211yescharacteristic
67#11719246C2211yescharacteristic
68#11719246C2211yescharacteristic
69#11719236—21no—
70#11719234C2211yescharacteristic, complemented
71D13×#117—21no—
72D13×#117C2211yescharacteristic, complemented
73#11719218C2211yescharacteristic
74C2×C4⋊C4×D13C2211yescharacteristic
75#11719200—21no—
76#11719191—21no—
77C13×#488C2211yescharacteristic, complemented
78C13×#483C2211yescharacteristic, complemented
79C13×#482C2211yescharacteristic, complemented
80C13×#478C2211yescharacteristic, complemented
81C13×#467C2211yescharacteristic, complemented
82C13×#465C2211yescharacteristic, complemented
83C13×#464C2211yescharacteristic, complemented
84C13×#452C2211yescharacteristic, complemented
85C13×#450C2211yescharacteristic, complemented
86C4×C13×SD16C2211yescharacteristic, complemented
87C8×D4×C13C2211yescharacteristic
88C13×#416C2211yescharacteristic, complemented
89C2×C13×#102C2211yescharacteristic, complemented
90#11718900C2211yescharacteristic, complemented
91#11718894C2211yescharacteristic, complemented
92#11718879C2211yescharacteristic, complemented
93C2×#88072C2211yescharacteristic, complemented
94#11718849C2211yescharacteristic, complemented
95#11718847C2211yescharacteristic, complemented
96#11718847C2211yescharacteristic, complemented
97Q16×Dic13C2211yescharacteristic, complemented
98#11718834C2211yescharacteristic, complemented
99#11718832C2211yescharacteristic, complemented
100#11718832C2211yescharacteristic, complemented
101#11718832C2211yescharacteristic, complemented
102#11718831C2211yescharacteristic
103#11718831C2211yescharacteristic
104#11718827C2211yescharacteristic, complemented
105SD16×Dic13C2211yescharacteristic, complemented
106#11718777C2211yescharacteristic, complemented
107#11718777C2211yescharacteristic, complemented
108C8×C22⋊D13C2211yescharacteristic
109C8×C22⋊D13C2211yescharacteristic, complemented
110C2×#88060C2211yescharacteristic
111C2×#88060C2211yescharacteristic, complemented
112#11718767C2211yescharacteristic, complemented
113C2×#88058C2211yescharacteristic, complemented
114#11718725C2211yescharacteristic, complemented
115#11718724C2211yescharacteristic, complemented
116#11718717C2211yescharacteristic, complemented
117#11718715C2211yescharacteristic, complemented
118#11718712C2211yescharacteristic, complemented
119#11718712C2211yescharacteristic, complemented
120#11718712C2211yescharacteristic, complemented
121#11718706C2211yescharacteristic, complemented
122#11718704C2211yescharacteristic, complemented
123#11718704C2211yescharacteristic, complemented
124#11718702C2211yescharacteristic, complemented
125#11718696C2211yescharacteristic, complemented
126C4×#6107C2211yescharacteristic, complemented
127#11718683C2211yescharacteristic, complemented
128C4×#6105C2211yescharacteristic, complemented
129D4×#1055C2211yescharacteristic
130#11718670C2211yescharacteristic, complemented
131#11718659C2211yescharacteristic, complemented
132#11718657C2211yescharacteristic, complemented
133#11718632C2211yescharacteristic, complemented
134C2×#88047C2211yescharacteristic, complemented
135#11718545C2211yescharacteristic, complemented
136#11718545C2211yescharacteristic, complemented
137#11718541C2211yescharacteristic, complemented
138#11718539C2211yescharacteristic, complemented
139#11718528C2211yescharacteristic, complemented
140#11718523C2211yescharacteristic, complemented
141#11718523C2211yescharacteristic, complemented
142#11718521C2211yescharacteristic, complemented
143D13×#106C2211yescharacteristic, complemented
144D13×#106C2211yescharacteristic, complemented
145#11718519C2211yescharacteristic, complemented
146#11718518C2211yescharacteristic, complemented
147#11718495C2211yescharacteristic, complemented
148#11718494C2211yescharacteristic, complemented
149#11718490C2211yescharacteristic, complemented
150#11718490C2211yescharacteristic, complemented
151#11718476C2211yescharacteristic, complemented
152#11718475C2211yescharacteristic, complemented
153#11718475C2211yescharacteristic, complemented
154#11718474C2211yescharacteristic, complemented
155#11718470C2211yescharacteristic, complemented
156#11718470C2211yescharacteristic, complemented
157#11718469C2211yescharacteristic, complemented
158#11718469C2211yescharacteristic, complemented
159#11718466C2211yescharacteristic, complemented
160#11718466C2211yescharacteristic, complemented
161D13×#103C2211yescharacteristic, complemented
162D13×#103C2211yescharacteristic, complemented
163#11718460C2211yescharacteristic, complemented
164#11718457C2211yescharacteristic, complemented
165#11718457C2211yescharacteristic, complemented
166#11718451C2211yescharacteristic, complemented
167#11718445C2211yescharacteristic, complemented
168#11718444C2211yescharacteristic, complemented
169#11718440C2211yescharacteristic, complemented
170#11718439C2211yescharacteristic, complemented
171#11718439C2211yescharacteristic, complemented
172#11718439C2211yescharacteristic, complemented
173#11718438C2211yescharacteristic
174#11718438C2211yescharacteristic
175#11718435C2211yescharacteristic
176#11718435C2211yescharacteristic
177#11718435C2211yescharacteristic
178#11718435C2211yescharacteristic
179#11718435C2211yescharacteristic, complemented
180#11718435C2211yescharacteristic, complemented
181#11718435C2211yescharacteristic, complemented
182#11718435C2211yescharacteristic, complemented
183#11718433C2211yescharacteristic, complemented
184#11718433C2211yescharacteristic, complemented
185#11718429C2211yescharacteristic, complemented
186#11718429C2211yescharacteristic, complemented
187#11718428C2211yescharacteristic, complemented
188#11718427C2211yescharacteristic, complemented
189#11718424C2211yescharacteristic, complemented
190#11718419C2211yescharacteristic, complemented
191#11718386C2211yescharacteristic
192#11718386C2211yescharacteristic, complemented
193D13×C22⋊C8C2211yescharacteristic
194D13×C22⋊C8C2211yescharacteristic, complemented
195#11718384C2211yescharacteristic, complemented
196#11718384C2211yescharacteristic, complemented
197#11718382C2211yescharacteristic, complemented
198#11718382C2211yescharacteristic, complemented
199C4×Dic52C2211yescharacteristic, complemented
200C8×D52C2211yescharacteristic, complemented
201#11718346C2211yescharacteristic, complemented
202#11718344C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C22×C22⋊D13—21no—
206C2×Q8×D13C2311yescharacteristic
207C2×Q8×D13C2311yescharacteristic
208C2×#6129C2311yescharacteristic
209C2×D4×D13D411yescharacteristic
210C22×C4×D13—21no—
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C2×C13×Q16C2311yescharacteristic
214C2×C13×SD16C2311yescharacteristic
215C2×C13×SD16C2311yescharacteristic
216C22×C8×C13C2311yescharacteristic
217C22×C8×C13C2311yescharacteristic
218C13×#126—21no—
219C13×#125—21no—
220C13×#125C2311yescharacteristic
221C13×#124C2311yescharacteristic
222C13×#123—21no—
223C13×#123—21no—
224C13×C22⋊Q8C2311yescharacteristic
225C13×C22⋊Q8C2311yescharacteristic
226C13×C22⋊Q8C2311yescharacteristic
227C13×#121—21no—
228C13×#121C2311yescharacteristic
229C13×#120—21no—
230C4×Q8×C13C2311yescharacteristic
231C4×D4×C13C2311yescharacteristic
232C4×D4×C13C2311yescharacteristic
233C13×#117—21no—
234C13×#117C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4—21no—
237#88207—21no—
238C2×C22⋊Dic13—21no—
239C2×C22⋊Dic13—21no—
240#88200C2311yescharacteristic
241#88200C2311yescharacteristic
242#88200C2311yescharacteristic
243#88200C2311yescharacteristic
244Q8×Dic13C2311yescharacteristic
245Q8×Dic13C2311yescharacteristic
246C2×#6107C2311yescharacteristic
247C2×#6107C2311yescharacteristic
248#88193—21no—
249#88192—21no—
250#88192—21no—
251#88192—21no—
252#88192—21no—
253#88192C2311yescharacteristic
254#88192C2311yescharacteristic
255#88192C2311yescharacteristic
256#88192C2311yescharacteristic
257#88192C2311yescharacteristic
258#88191—21no—
259#88191—21no—
260#88190—21no—
261#88190C2311yescharacteristic
262#88189—21no—
263#88189—21no—
264#88189—21no—
265#88189—21no—
266#88189—21no—
267D4×Dic13—21no—
268D4×Dic13D411yescharacteristic
269D4×Dic13C2311yescharacteristic
270C2×#6105C2311yescharacteristic
271C2×#6105C2311yescharacteristic
272#88183—21no—
273#88183—21no—
274C4×C22⋊D13—21no—
275C4×C22⋊D13—21no—
276C4×C22⋊D13—21no—
277C4×C22⋊D13—21no—
278C4×C22⋊D13—21no—
279C4×C22⋊D13C2311yescharacteristic
280C4×C22⋊D13C2311yescharacteristic
281#88180—21no—
282#88180—21no—
283#88180C2311yescharacteristic
284#88180C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287#88178—21no—
288#88178C2311yescharacteristic
289#88178C2311yescharacteristic
290#88178C2311yescharacteristic
291#88178C2311yescharacteristic
292C2×#6101—21no—
293C22×#1055C2311yescharacteristic
294C22×#1055C2311yescharacteristic
295C2×Dic52C2311yescharacteristic
296C2×C8×D13C2311yescharacteristic
297C2×C8×D13C2311yescharacteristic
298C2×C8×D13C2311yescharacteristic
299C2×C8×D13C2311yescharacteristic
300#88152—21no—
301#88152—21no—
302#88152—21no—
303#88152—21no—
304#88151C2311yescharacteristic
305#88151C2311yescharacteristic
306#88151C2311yescharacteristic
307#88150—21no—
308#88150—21no—
309#88150—21no—
310#88148—21no—
311#88148—21no—
312#88147D411yescharacteristic
313#88146—21no—
314#88146—21no—
315#88146C2311yescharacteristic
316#88146C2311yescharacteristic
317#88146C2311yescharacteristic
318C4⋊C4×D13—21no—
319C4⋊C4×D13—21no—
320C4⋊C4×D13—21no—
321C4⋊C4×D13—21no—
322C4⋊C4×D13—21no—
323C4⋊C4×D13—21no—
324C4⋊C4×D13—21no—
325C4⋊C4×D13—21no—
326C4⋊C4×D13D411yescharacteristic
327C4⋊C4×D13C2311yescharacteristic
328C4⋊C4×D13C2311yescharacteristic
329C4⋊C4×D13C2311yescharacteristic
330C4⋊C4×D13C2311yescharacteristic
331C4⋊C4×D13C2311yescharacteristic
332C4⋊C4×D13C2311yescharacteristic
333#88144—21no—
334#88144—21no—
335#88144—21no—
336#88144C2311yescharacteristic
337#88144C2311yescharacteristic
338#88144C2311yescharacteristic
339#88143—21no—
340#88143—21no—
341#88143—21no—
342#88143—21no—
343#88143—21no—
344#88143—21no—
345#88143—21no—
346#88141—21no—
347#88141C2311yescharacteristic
348#88140—21no—
349#88140—21no—
350#88139—21no—
351#88138—21no—
352#88138—21no—
353#88137—21no—
354#88137—21no—
355#88137—21no—
356#88137—21no—
357#88137—21no—
358#88135—21no—
359#88135—21no—
360#88135—21no—
361#88135—21no—
362#88135D411yescharacteristic
363#88135D411yescharacteristic
364C22⋊C4×D13—21no—
365C22⋊C4×D13—21no—
366C22⋊C4×D13—21no—
367C22⋊C4×D13—21no—
368C22⋊C4×D13D411yescharacteristic
369C22⋊C4×D13D411yescharacteristic
370#88133—21no—
371#88133—21no—
372#88133—21no—
373#88133—21no—
374#88133—21no—
375#88133—21no—
376#88133—21no—
377#88133—21no—
378#88132—21no—
379#88132—21no—
380#88132—21no—
381#88132—21no—
382#88131—21no—
383#88131—21no—
384#88131—21no—
385#88131—21no—
386#88131—21no—
387#88131—21no—
388#88130—21no—
389C4×D52C2311yescharacteristic
390#88126—21no—
391#88126—21no—
392#88126—21no—
393C42×D13—21no—
394C42×D13—21no—
395C42×D13C2311yescharacteristic
396#88124—21no—
397#88124C2311yescharacteristic
398#88124C2311yescharacteristic
399C4×Dic26—21no—
400C4×Dic26C2311yescharacteristic
401C4×Dic26C2311yescharacteristic
402C13×#107C2311yescharacteristic
403C13×#106C2311yescharacteristic
404C13×#106C2311yescharacteristic
405C13×C4⋊C8C2311yescharacteristic
406C13×#103C2311yescharacteristic
407C13×#103C2311yescharacteristic
408C13×#103C2311yescharacteristic
409C13×#103C2311yescharacteristic
410C13×#102C2311yescharacteristic
411C13×#102C2311yescharacteristic
412C13×#102C2311yescharacteristic
413C13×#102C2311yescharacteristic
414C13×#102C2311yescharacteristic
415C13×#102C2311yescharacteristic
416C13×C22⋊C8C2311yescharacteristic
417C13×C22⋊C8C2311yescharacteristic
418C4×C8×C13C2311yescharacteristic
419#88075C2311yescharacteristic
420#88075C2311yescharacteristic
421#88075C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88075C2311yescharacteristic
425#88072C2311yescharacteristic
426#88072C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433#88060C2311yescharacteristic
434#88060C2311yescharacteristic
435#88060C2311yescharacteristic
436#88060C2311yescharacteristic
437#88060C2311yescharacteristic
438#88060C2311yescharacteristic
439#88060C2311yescharacteristic
440#88060C2311yescharacteristic
441#88058C2311yescharacteristic
442#88058C2311yescharacteristic
443#88058C2311yescharacteristic
444#88058C2311yescharacteristic
445#88058C2311yescharacteristic
446#88057C2311yescharacteristic
447#88057C2311yescharacteristic
448#88057C2311yescharacteristic
449#88057C2311yescharacteristic
450#88056C2311yescharacteristic
451#88056C2311yescharacteristic
452#88056C2311yescharacteristic
453#88056C2311yescharacteristic
454#88056C2311yescharacteristic
455#88056C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458C8×Dic13C2311yescharacteristic
459C8×Dic13C2311yescharacteristic
460#88050C2311yescharacteristic
461#88050C2311yescharacteristic
462#88050C2311yescharacteristic
463#88050C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88048C2311yescharacteristic
467#88048C2311yescharacteristic
468#88048C2311yescharacteristic
469#88048C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476C4⋊#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478#61696—131nomaximal, Sylow
479C24×C13—21no—
480C23×D13C2×D411yescharacteristic
481C23×D13C2×D411yescharacteristic
482C13×#41—41no—
483C13×#41—41no—
484C2×Q8×C13C2411yescharacteristic
485C2×Q8×C13C2411yescharacteristic
486C2×D4×C13—21no—
487C2×D4×C13—21no—
488C2×D4×C13—21no—
489C2×D4×C13—41no—
490C2×D4×C13—41no—
491C2×D4×C13C2×D411yescharacteristic
492C2×D4×C13C2411yescharacteristic
493C2×D4×C13C2411yescharacteristic
494C22×C4×C13—21no—
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13C2411yescharacteristic
498C22×C4×C13C2411yescharacteristic
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C2×C22⋊D13—21no—
504C2×C22⋊D13—21no—
505C2×C22⋊D13—44no—
506C2×C22⋊D13C2×D411yescharacteristic
507C2×C22⋊D13C2×D411yescharacteristic
508C22×Dic13—21no—
509C22×Dic13—21no—
510C22×Dic13—21no—
511C22×Dic13—21no—
512C22×Dic13C2×D411yescharacteristic
513C22×Dic13C2×D411yescharacteristic
514Q8×D13—41no—
515Q8×D13—41no—
516Q8×D13—41no—
517Q8×D13—41no—
518#6129—41no—
519#6129—41no—
520D4×D13—24no—
521C2×D52C2×D411yescharacteristic
522C2×C4×D13—21no—
523C2×C4×D13—21no—
524C2×C4×D13—21no—
525C2×C4×D13—21no—
526C2×C4×D13—21no—
527C2×C4×D13—21no—
528C2×C4×D13—21no—
529C2×C4×D13—21no—
530C2×C4×D13—41no—
531C2×C4×D13—41no—
532C2×C4×D13—41no—
533C2×C4×D13—41no—
534C2×C4×D13—44no—
535C2×C4×D13C2×D411yescharacteristic
536C2×C4×D13C2×D411yescharacteristic
537C2×C4×D13C2×D411yescharacteristic
538C2×C4×D13C2×D411yescharacteristic
539C2×C4×D13C2×D411yescharacteristic
540C2×C4×D13C2×D411yescharacteristic
541C2×C4×D13C2411yescharacteristic
542C2×C4×D13C2411yescharacteristic
543C2×C4×D13C2411yescharacteristic
544C2×Dic26—21no—
545C2×Dic26—21no—
546C2×Dic26C2411yescharacteristic
547C2×Dic26C2411yescharacteristic
548C13×Q16—41no—
549C13×SD16—41no—
550C13×SD16—41no—
551C2×C8×C13—41no—
552C2×C8×C13—41no—
553C2×C8×C13C2411yescharacteristic
554C2×C8×C13C2411yescharacteristic
555C2×C8×C13C2411yescharacteristic
556C2×C8×C13C2411yescharacteristic
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4—21no—
564C13×C4⋊C4C2×D411yescharacteristic
565C13×C4⋊C4C2411yescharacteristic
566C13×C4⋊C4C2411yescharacteristic
567C13×C4⋊C4C2411yescharacteristic
568C13×C4⋊C4C2411yescharacteristic
569C13×C22⋊C4—21no—
570C13×C22⋊C4—21no—
571C13×C22⋊C4—21no—
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4—21no—
576C13×C22⋊C4—21no—
577C13×C22⋊C4C2×D411yescharacteristic
578C13×C22⋊C4C2×D411yescharacteristic
579C42×C13—21no—
580C42×C13—21no—
581C42×C13C2411yescharacteristic
582C22⋊Dic13—21no—
583C22⋊Dic13—21no—
584C22⋊Dic13—21no—
585C22⋊Dic13—21no—
586C22⋊Dic13—21no—
587C22⋊Dic13—21no—
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13—21no—
591C22⋊Dic13—21no—
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13C2×D411yescharacteristic
597C22⋊Dic13C2×D411yescharacteristic
598#6107—41no—
599#6107—41no—
600#6105—41no—
601#6105—41no—
602#6103—21no—
603#6103—21no—
604#6103—21no—
605#6103—21no—
606#6103—21no—
607#6103—21no—
608#6103—21no—
609#6103—21no—
610#6103—21no—
611#6103—21no—
612#6103C2×D411yescharacteristic
613#6103C2×D411yescharacteristic
614#6103C2×D411yescharacteristic
615#6103C2×D411yescharacteristic
616C4⋊Dic13—21no—
617C4⋊Dic13—21no—
618C4⋊Dic13—21no—
619C4⋊Dic13—21no—
620C4⋊Dic13—21no—
621C4⋊Dic13—21no—
622C4⋊Dic13—21no—
623C4⋊Dic13—21no—
624C4⋊Dic13—21no—
625C4⋊Dic13—21no—
626C4⋊Dic13C2×D411yescharacteristic
627C4⋊Dic13C2411yescharacteristic
628C4⋊Dic13C2411yescharacteristic
629C4⋊Dic13C2411yescharacteristic
630C4⋊Dic13C2411yescharacteristic
631C4⋊Dic13C2411yescharacteristic
632C4⋊Dic13C2411yescharacteristic
633#6101—21no—
634#6101—21no—
635#6101—21no—
636#6101—21no—
637#6101—21no—
638#6101—21no—
639#6101—21no—
640#6101—21no—
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101—21no—
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#6101C2×D411yescharacteristic
658#6101C2×D411yescharacteristic
659C4×Dic13—21no—
660C4×Dic13—21no—
661C4×Dic13—21no—
662C4×Dic13—21no—
663C4×Dic13—21no—
664C4×Dic13—21no—
665C4×Dic13—21no—
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13C2×D411yescharacteristic
670C4×Dic13C2×D411yescharacteristic
671C4×Dic13C2411yescharacteristic
672C2×#1055—41no—
673C2×#1055—41no—
674C2×#1055C2411yescharacteristic
675C2×#1055C2411yescharacteristic
676C2×#1055C2411yescharacteristic
677C2×#1055C2411yescharacteristic
678Dic52—41no—
679C8×D13—41no—
680C8×D13—41no—
681C8×D13—41no—
682C8×D13—41no—
683#3505—131no—
684C2×#552—131no—
685#3337—131no—
686#3337—131no—
687#3337—131no—
688#3337—131no—
689#3336—131no—
690#3336—131no—
691#3336—131no—
692#3336—131no—
693#3300—131no—
694#3300—131no—
695#3300—131no—
696#3300—131no—
697#3296—131no—
698#3296—131no—
699#3296—131no—
700#3296D1311yescharacteristic, complemented
701#3232—131no—
702#3232—131no—
703#3190—131no—
704#3190—131no—
705#3189—131no—
706#3187—131no—
707#3108—131no—
708#3108—131no—
709#3091—131no—
710#3091—131no—
711C2×#483—131no—
712C2×#480—131no—
713#2972—131no—
714C23×C13—21no—
715C23×C13—21no—
716C23×C13—42no—
717C23×C13—81no—
718C23×C13—81no—
719C23×C13C22×D411yescharacteristic
720C23×C13C22×D411yescharacteristic
721C22×D13—22no—
722C22×D13—41no—
723C22×D13—41no—
724C22×D13—41no—
725C22×D13—41no—
726C22×D13#13514yes—
727C22×D13C22×D411yescharacteristic
728C22×D13C22×D411yescharacteristic
729C22×D13C22×D411yescharacteristic
730Q8×C13—21no—
731Q8×C13—21no—
732Q8×C13—21no—
733Q8×C13—21no—
734D4×C13—22no—
735D4×C13—21no—
736D4×C13—21no—
737D4×C13—21no—
738D4×C13—21no—
739D4×C13—81no—
740D4×C13—81no—
741D4×C13—81no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—42no—
753C2×C4×C13—81no—
754C2×C4×C13—81no—
755C2×C4×C13C22×D411yescharacteristic
756C2×C4×C13C22×D411yescharacteristic
757C2×C4×C13C22×D411yescharacteristic
758C2×C4×C13C22×D411yescharacteristic
759C2×C4×C13C2511yescharacteristic
760C22⋊D13—22no—
761C22⋊D13—22no—
762C22⋊D13—42no—
763C22⋊D13—42no—
764C22⋊D13—42no—
765C22⋊D13—42no—
766C22⋊D13—81no—
767C22⋊D13—81no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—41no—
777C2×Dic13—41no—
778C2×Dic13—42no—
779C2×Dic13—42no—
780C2×Dic13—81no—
781C2×Dic13—81no—
782C2×Dic13C22×D411yescharacteristic
783C2×Dic13C22×D411yescharacteristic
784C2×Dic13C22×D411yescharacteristic
785C2×Dic13C22×D411yescharacteristic
786C2×Dic13C22×D411yescharacteristic
787D52—22no—
788C4×D13—22no—
789C4×D13—21no—
790C4×D13—21no—
791C4×D13—21no—
792C4×D13—21no—
793C4×D13—21no—
794C4×D13—21no—
795C4×D13—41no—
796C4×D13—41no—
797C4×D13—41no—
798C4×D13—41no—
799C4×D13—41no—
800C4×D13—42no—
801C4×D13—42no—
802C4×D13—42no—
803C4×D13—42no—
804C4×D13—42no—
805C4×D13—42no—
806C4×D13—81no—
807C4×D13—81no—
808Dic26—21no—
809Dic26—21no—
810Dic26—21no—
811Dic26—21no—
812Dic26—42no—
813Dic26—81no—
814C8×C13—21no—
815C8×C13—21no—
816C8×C13—21no—
817C8×C13—21no—
818#1055—21no—
819#1055—21no—
820#1055—21no—
821#1055—21no—
822#553—131no—
823#553—131no—
824#553—261no—
825#553—261no—
826#552—131no—
827#552—131no—
828#552—131no—
829#552—131no—
830#552—131no—
831#552—131no—
832#552—131no—
833#552—131no—
834#552—131no—
835#552—261no—
836#552—261no—
837#552—261no—
838#552—261no—
839#552C2×D1311yescharacteristic
840#551—261no—
841#551—261no—
842#548—131no—
843#548—131no—
844#546—131no—
845#546C2×D1311yescharacteristic
846#539—261no—
847#538—261no—
848#534—261no—
849#529—131no—
850#529—131no—
851C2×#126—261no—
852C2×#125—131no—
853C2×#125—261no—
854#525—131no—
855#525—131no—
856C2×#123—261no—
857C2×C22⋊Q8—131no—
858C2×C22⋊Q8—131no—
859C2×C22⋊Q8—131no—
860C2×#121—131no—
861#518—261no—
862C2×C4×Q8—131no—
863C2×C4×D4—131no—
864C2×#117—131no—
865C2×#117—261no—
866C22×C4⋊C4—131no—
867#499—131no—
868#499—131no—
869#499—131no—
870#499—131no—
871#488—131no—
872#488—131no—
873#488—131no—
874#488C2×D1311yescharacteristic, complemented
875#485—131no—
876#485—131no—
877#485—131no—
878#485—131no—
879#485—131no—
880#485—131no—
881#485—131no—
882#485—131no—
883#484—131no—
884#484—131no—
885#484—131no—
886#484—131no—
887#483—131no—
888#483—131no—
889#483—131no—
890#483—131no—
891#483—131no—
892#483—131no—
893#483—131no—
894#483—131no—
895#483—131no—
896#483C2×D1311yescharacteristic, complemented
897#482—131no—
898#482—131no—
899#482—131no—
900#482C2×D1311yescharacteristic, complemented
901#481—131no—
902#481—131no—
903#480—131no—
904#480—131no—
905#480—131no—
906#480—131no—
907#480—131no—
908#480—131no—
909#480—131no—
910#480—131no—
911#479—131no—
912#479—131no—
913#479—131no—
914#479—131no—
915#479—131no—
916#479—131no—
917#479—131no—
918#479—131no—
919#478—131no—
920#478—131no—
921#478—131no—
922#478C2×D1311yescharacteristic, complemented
923#467—131no—
924#467—131no—
925#467—131no—
926#467—131no—
927#467—131no—
928#467—131no—
929#467—131no—
930#467C2×D1311yescharacteristic, complemented
931#465—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#465—131no—
937#465—131no—
938#465C2×D1311yescharacteristic, complemented
939#464—131no—
940#464—131no—
941#464—131no—
942#464C2×D1311yescharacteristic, complemented
943#452—131no—
944#452—131no—
945#452—131no—
946#452C2×D1311yescharacteristic, complemented
947#451—131no—
948#451—131no—
949#451—131no—
950#451—131no—
951#450—131no—
952#450C2×D1311yescharacteristic, complemented
953#448—131no—
954#448—131no—
955C4×Q16—131no—
956C4×Q16—131no—
957C4×Q16—131no—
958C4×Q16—131no—
959C4×SD16—131no—
960C4×SD16—131no—
961C4×SD16—131no—
962C4×SD16C2×D1311yescharacteristic, complemented
963C8×D4—131no—
964C8×D4—131no—
965C8×D4—131no—
966C8×D4—131no—
967C8×D4—131no—
968C8×D4—131no—
969C8×D4—131no—
970C8×D4C2×D1311yescharacteristic
971#431—131no—
972#431—131no—
973#427—131no—
974#427—131no—
975#427—131no—
976#427—131no—
977C2×#107—131no—
978C2×#107—131no—
979C2×#106—131no—
980C2×#106—131no—
981#416—131no—
982#416—131no—
983#416—131no—
984#416C2×D1311yescharacteristic, complemented
985C2×#103—131no—
986C2×#103—131no—
987C2×#102—131no—
988C2×#102C2×D1311yescharacteristic, complemented
989C2×C22⋊C8—131no—
990C2×C22⋊C8—131no—
991C2×C22⋊C8—131no—
992C2×C22⋊C8—131no—
993C22×C13—21no—
994C22×C13—21no—
995C22×C13—21no—
996C22×C13—21no—
997C22×C13—21no—
998C22×C13—41no—
999C22×C13—41no—
1000C22×C13—41no—
1001C22×C13—41no—
1002C22×C13—41no—
1003C22×C13—41no—
1004C22×C13—162no—
1005C22×C13C2×#13512yes—
1006C22×C13C23×D411yescharacteristic
1007C2×D13—21no—
1008C2×D13—21no—
1009C2×D13—21no—
1010C2×D13—21no—
1011C2×D13—21no—
1012C2×D13—21no—
1013C2×D13—21no—
1014C2×D13—44no—
1015C2×D13—82no—
1016C2×D13C2×#13512yes—
1017C2×D13C2×#13512yes—
1018C4×C13—21no—
1019C4×C13—21no—
1020C4×C13—21no—
1021C4×C13—21no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13—41no—
1025C4×C13—41no—
1026C4×C13—41no—
1027C4×C13—41no—
1028C4×C13#58511yescharacteristic
1029C4×C13#58511yescharacteristic
1030Dic13—21no—
1031Dic13—21no—
1032Dic13—21no—
1033Dic13—21no—
1034Dic13—21no—
1035Dic13—41no—
1036Dic13—41no—
1037Dic13—41no—
1038Dic13—41no—
1039Dic13—41no—
1040Dic13—41no—
1041Dic13—41no—
1042Dic13—41no—
1043C2×#41—131no—
1044C2×#41C22×D1311yescharacteristic
1045C22×Q8—131no—
1046C22×Q8—131no—
1047C22×D4—131no—
1048C22×D4—261no—
1049C22×D4C22×D1311yescharacteristic
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—261no—
1053C2×Q16—131no—
1054C2×Q16—131no—
1055C2×Q16—131no—
1056C2×Q16C22×D1311yescharacteristic
1057C2×SD16—131no—
1058C2×SD16—131no—
1059C2×SD16C22×D1311yescharacteristic
1060C2×SD16C22×D1311yescharacteristic
1061C22×C8—131no—
1062C22×C8—131no—
1063C22×C8—131no—
1064C22×C8—131no—
1065C22×C8—131no—
1066C22×C8—131no—
1067C22×C8C22×D1311yescharacteristic
1068C22×C8C22×D1311yescharacteristic
1069#126—21no—
1070#126—261no—
1071#126—261no—
1072#126—261no—
1073#126—261no—
1074#126—261no—
1075#126—261no—
1076#126—261no—
1077#126—261no—
1078#126—261no—
1079#126—261no—
1080#126—261no—
1081#126—261no—
1082#126—261no—
1083#125—21no—
1084#125—131no—
1085#125—131no—
1086#125—131no—
1087#125—131no—
1088#125—131no—
1089#125—261no—
1090#125—261no—
1091#125—261no—
1092#125—261no—
1093#125—261no—
1094#125—261no—
1095#125—261no—
1096#125—261no—
1097#125—261no—
1098#125—261no—
1099#125—261no—
1100#125C22×D1311yescharacteristic
1101#124—131no—
1102#124—261no—
1103#124—261no—
1104#124C22×D1311yescharacteristic
1105#123—21no—
1106#123—21no—
1107#123—261no—
1108#123—261no—
1109#123—261no—
1110#123—261no—
1111#123—261no—
1112#123—261no—
1113#123—261no—
1114#123—261no—
1115#123—261no—
1116#123—261no—
1117#123—261no—
1118#123—261no—
1119#123—261no—
1120#123—261no—
1121#123—261no—
1122#123—261no—
1123C22⋊Q8—131no—
1124C22⋊Q8—131no—
1125C22⋊Q8—131no—
1126C22⋊Q8—131no—
1127C22⋊Q8—131no—
1128C22⋊Q8—131no—
1129C22⋊Q8—131no—
1130C22⋊Q8—131no—
1131C22⋊Q8—131no—
1132C22⋊Q8—131no—
1133C22⋊Q8—131no—
1134C22⋊Q8—261no—
1135C22⋊Q8—261no—
1136C22⋊Q8—261no—
1137C22⋊Q8—261no—
1138C22⋊Q8—261no—
1139C22⋊Q8—261no—
1140C22⋊Q8—261no—
1141C22⋊Q8—261no—
1142C22⋊Q8C22×D1311yescharacteristic
1143C22⋊Q8C22×D1311yescharacteristic
1144C22⋊Q8C22×D1311yescharacteristic
1145#121—21no—
1146#121—131no—
1147#121—131no—
1148#121—131no—
1149#121—131no—
1150#121—131no—
1151#121—261no—
1152#121—261no—
1153#121—261no—
1154#121—261no—
1155#121—261no—
1156#121—261no—
1157#121—261no—
1158#121C22×D1311yescharacteristic
1159#120—21no—
1160#120—261no—
1161#120—261no—
1162#120—261no—
1163C4×Q8—131no—
1164C4×Q8—131no—
1165C4×Q8—131no—
1166C4×Q8—131no—
1167C4×Q8—131no—
1168C4×Q8—261no—
1169C4×Q8—261no—
1170C4×Q8C22×D1311yescharacteristic
1171C4×D4—131no—
1172C4×D4—131no—
1173C4×D4—131no—
1174C4×D4—131no—
1175C4×D4—131no—
1176C4×D4—131no—
1177C4×D4—131no—
1178C4×D4—131no—
1179C4×D4—261no—
1180C4×D4—261no—
1181C4×D4—261no—
1182C4×D4—261no—
1183C4×D4—261no—
1184C4×D4—261no—
1185C4×D4—261no—
1186C4×D4—261no—
1187C4×D4—261no—
1188C4×D4—261no—
1189C4×D4C22×D1311yescharacteristic
1190C4×D4C22×D1311yescharacteristic
1191#117—21no—
1192#117—131no—
1193#117—131no—
1194#117—131no—
1195#117—131no—
1196#117—131no—
1197#117—261no—
1198#117—261no—
1199#117—261no—
1200#117—261no—
1201#117—261no—
1202#117—261no—
1203#117—261no—
1204#117—261no—
1205#117—261no—
1206#117—261no—
1207#117—261no—
1208#117—261no—
1209#117—261no—
1210#117C22×D1311yescharacteristic
1211C2×C4⋊C4—131no—
1212C2×C4⋊C4—131no—
1213C2×C4⋊C4—131no—
1214C2×C4⋊C4—131no—
1215C2×C4⋊C4—131no—
1216C2×C4⋊C4—131no—
1217C2×C4⋊C4—131no—
1218C2×C4⋊C4—131no—
1219C2×C4⋊C4—131no—
1220C2×C4⋊C4—261no—
1221C2×C4⋊C4—261no—
1222C2×C4⋊C4—261no—
1223C2×C4⋊C4—261no—
1224C2×C4⋊C4—261no—
1225C2×C4⋊C4—261no—
1226C2×C4⋊C4—261no—
1227C2×C4⋊C4—261no—
1228C2×C4⋊C4—261no—
1229C2×C4⋊C4C22×D1311yescharacteristic
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—131no—
1232C2×C22⋊C4—131no—
1233C2×C22⋊C4—261no—
1234C2×C22⋊C4—261no—
1235C2×C22⋊C4—261no—
1236C2×C22⋊C4—261no—
1237C2×C22⋊C4—261no—
1238C2×C22⋊C4—261no—
1239C2×C42—131no—
1240C2×C42—261no—
1241C2×C42—261no—
1242#107—131no—
1243#107—131no—
1244#107—131no—
1245#107—131no—
1246#107—131no—
1247#107—131no—
1248#107—131no—
1249#107—131no—
1250#107—131no—
1251#107—131no—
1252#107—131no—
1253#107C22×D1311yescharacteristic
1254#106—131no—
1255#106—131no—
1256#106—131no—
1257#106—131no—
1258#106—131no—
1259#106—131no—
1260#106—131no—
1261#106—131no—
1262#106—131no—
1263#106—131no—
1264#106C22×D1311yescharacteristic
1265#106C22×D1311yescharacteristic
1266C4⋊C8—131no—
1267C4⋊C8—131no—
1268C4⋊C8—131no—
1269C4⋊C8C22×D1311yescharacteristic
1270#103—131no—
1271#103—131no—
1272#103—131no—
1273#103—131no—
1274#103—131no—
1275#103—131no—
1276#103—131no—
1277#103—131no—
1278#103—131no—
1279#103—131no—
1280#103—131no—
1281#103—131no—
1282#103—131no—
1283#103—131no—
1284#103—131no—
1285#103—131no—
1286#103C22×D1311yescharacteristic
1287#103C22×D1311yescharacteristic
1288#103C22×D1311yescharacteristic
1289#103C22×D1311yescharacteristic
1290#102—131no—
1291#102—131no—
1292#102—131no—
1293#102—131no—
1294#102—131no—
1295#102—131no—
1296#102C22×D1311yescharacteristic
1297#102C22×D1311yescharacteristic
1298#102C22×D1311yescharacteristic
1299#102C22×D1311yescharacteristic
1300#102C22×D1311yescharacteristic
1301#102C22×D1311yescharacteristic
1302C22⋊C8—131no—
1303C22⋊C8—131no—
1304C22⋊C8—131no—
1305C22⋊C8—131no—
1306C22⋊C8—131no—
1307C22⋊C8—131no—
1308C22⋊C8—131no—
1309C22⋊C8—131no—
1310C22⋊C8—131no—
1311C22⋊C8—131no—
1312C22⋊C8C22×D1311yescharacteristic
1313C22⋊C8C22×D1311yescharacteristic
1314C4×C8—131no—
1315C4×C8—131no—
1316C4×C8—131no—
1317C4×C8C22×D1311yescharacteristic
1318C2×C13—22no—
1319C2×C13—41no—
1320C2×C13—81no—
1321C2×C13—81no—
1322C2×C13#348511yescharacteristic
1323C2×C13C22×#13511yescharacteristic
1324C2×C13#358611yescharacteristic
1325D13—22no—
1326D13—22no—
1327D13—41no—
1328C24—21no—
1329C24—131no—
1330C24—131no—
1331#41—41no—
1332#41—41no—
1333#41—521no—
1334#41—521no—
1335C2×Q8—131no—
1336C2×Q8—131no—
1337C2×Q8—261no—
1338C2×Q8—261no—
1339C2×Q8—521no—
1340C2×Q8—521no—
1341C2×Q8—521no—
1342C2×Q8—521no—
1343C2×Q8C23×D1311yescharacteristic
1344C2×Q8C23×D1311yescharacteristic
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—131no—
1351C2×D4—131no—
1352C2×D4—131no—
1353C2×D4—264no—
1354C2×D4—261no—
1355C2×D4—261no—
1356C2×D4—261no—
1357C2×D4—261no—
1358C2×D4—261no—
1359C2×D4—261no—
1360C2×D4—524no—
1361C2×D4D4×D1311yescharacteristic
1362C2×D4C23×D1311yescharacteristic
1363C2×D4C23×D1311yescharacteristic
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—131no—
1371C22×C4—131no—
1372C22×C4—131no—
1373C22×C4—131no—
1374C22×C4—131no—
1375C22×C4—131no—
1376C22×C4—131no—
1377C22×C4—131no—
1378C22×C4—261no—
1379C22×C4—261no—
1380C22×C4—261no—
1381C22×C4—261no—
1382C22×C4—261no—
1383C22×C4—261no—
1384C22×C4—261no—
1385C22×C4—261no—
1386C22×C4—261no—
1387C22×C4—261no—
1388C22×C4—261no—
1389C22×C4—261no—
1390C22×C4—521no—
1391C22×C4—521no—
1392C22×C4—521no—
1393C22×C4—521no—
1394C22×C4—524no—
1395C22×C4C23×D1311yescharacteristic
1396C22×C4C23×D1311yescharacteristic
1397Q16—41no—
1398Q16—521no—
1399Q16—521no—
1400Q16—521no—
1401SD16—41no—
1402SD16—41no—
1403SD16—521no—
1404SD16—521no—
1405C2×C8—41no—
1406C2×C8—41no—
1407C2×C8—131no—
1408C2×C8—131no—
1409C2×C8—131no—
1410C2×C8—131no—
1411C2×C8—521no—
1412C2×C8—521no—
1413C2×C8—521no—
1414C2×C8—521no—
1415C2×C8—521no—
1416C2×C8—521no—
1417C2×C8C23×D1311yescharacteristic
1418C2×C8C23×D1311yescharacteristic
1419C2×C8C23×D1311yescharacteristic
1420C2×C8C23×D1311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—131no—
1429C4⋊C4—131no—
1430C4⋊C4—131no—
1431C4⋊C4—131no—
1432C4⋊C4—131no—
1433C4⋊C4—131no—
1434C4⋊C4—131no—
1435C4⋊C4—131no—
1436C4⋊C4—131no—
1437C4⋊C4—261no—
1438C4⋊C4—261no—
1439C4⋊C4—261no—
1440C4⋊C4—261no—
1441C4⋊C4—261no—
1442C4⋊C4—261no—
1443C4⋊C4—261no—
1444C4⋊C4—261no—
1445C4⋊C4—261no—
1446C4⋊C4—261no—
1447C4⋊C4—261no—
1448C4⋊C4—261no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
1452C4⋊C4—261no—
1453C4⋊C4—261no—
1454C4⋊C4—261no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4—261no—
1466C4⋊C4—261no—
1467C4⋊C4—261no—
1468C4⋊C4—261no—
1469C4⋊C4—261no—
1470C4⋊C4—261no—
1471C4⋊C4D4×D1311yescharacteristic
1472C4⋊C4C23×D1311yescharacteristic
1473C4⋊C4C23×D1311yescharacteristic
1474C4⋊C4C23×D1311yescharacteristic
1475C4⋊C4C23×D1311yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—131no—
1485C22⋊C4—131no—
1486C22⋊C4—131no—
1487C22⋊C4—131no—
1488C22⋊C4—131no—
1489C22⋊C4—131no—
1490C22⋊C4—261no—
1491C22⋊C4—261no—
1492C22⋊C4—261no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4—261no—
1496C22⋊C4—261no—
1497C22⋊C4—261no—
1498C22⋊C4—261no—
1499C22⋊C4—261no—
1500C22⋊C4—261no—
1501C22⋊C4—261no—
1502C22⋊C4—261no—
1503C22⋊C4—261no—
1504C22⋊C4—261no—
1505C22⋊C4—261no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4—261no—
1514C22⋊C4D4×D1311yescharacteristic
1515C22⋊C4D4×D1311yescharacteristic
1516C42—21no—
1517C42—21no—
1518C42—131no—
1519C42—131no—
1520C42—131no—
1521C42—261no—
1522C42—261no—
1523C42—261no—
1524C42—261no—
1525C42—261no—
1526C42—261no—
1527C42—261no—
1528C42—261no—
1529C42—261no—
1530C42—261no—
1531C42C23×D1311yescharacteristic
1532C13#6169611yescharacteristic, complemented, Sylow
1533C23—21no—
1534C23—21no—
1535C23—42no—
1536C23—81no—
1537C23—81no—
1538C23—131no—
1539C23—131no—
1540C23—134no—
1541C23—131no—
1542C23—262no—
1543C23—521no—
1544C23—521no—
1545C23—521no—
1546C23—521no—
1547C23C2×D4×D1311yescharacteristic
1548C23C2×D4×D1311yescharacteristic
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—261no—
1554Q8—261no—
1555Q8—261no—
1556Q8—261no—
1557Q8—522no—
1558Q8—1041no—
1559D4—22no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—262no—
1568D4—262no—
1569D4—262no—
1570D4—522no—
1571D4—522no—
1572D4—522no—
1573D4—522no—
1574D4—1041no—
1575D4—1041no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—42no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—131no—
1590C2×C4—131no—
1591C2×C4—131no—
1592C2×C4—131no—
1593C2×C4—131no—
1594C2×C4—262no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—521no—
1610C2×C4—521no—
1611C2×C4—521no—
1612C2×C4—521no—
1613C2×C4—521no—
1614C2×C4—522no—
1615C2×C4—522no—
1616C2×C4—522no—
1617C2×C4—522no—
1618C2×C4—522no—
1619C2×C4—522no—
1620C2×C4—521no—
1621C2×C4—521no—
1622C2×C4—522no—
1623C2×C4—522no—
1624C2×C4—1041no—
1625C2×C4—1041no—
1626C2×C4—1041no—
1627C2×C4—1041no—
1628C2×C4C2×D4×D1311yescharacteristic
1629C2×C4C2×D4×D1311yescharacteristic
1630C2×C4C2×D4×D1311yescharacteristic
1631C2×C4C2×D4×D1311yescharacteristic
1632C2×C4C24×D1311yescharacteristic
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—261no—
1638C8—261no—
1639C8—261no—
1640C8—261no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—132no—
1653C22—132no—
1654C22—162no—
1655C22—261no—
1656C22—261no—
1657C22—261no—
1658C22—261no—
1659C22—261no—
1660C22—261no—
1661C22—261no—
1662C22—524no—
1663C22—1042no—
1664C22D13×#13512yes—
1665C22C22×D4×D1311yescharacteristic
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—261no—
1677C4—261no—
1678C4—261no—
1679C4—261no—
1680C4—261no—
1681C4—521no—
1682C4—521no—
1683C4—521no—
1684C4—521no—
1685C4—521no—
1686C4—521no—
1687C4—521no—
1688C4—521no—
1689C4#1171964811yescharacteristic
1690C4#1171965011yescharacteristic
1691C2—22no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—262no—
1696C2—262no—
1697C2—521no—
1698C2#1312847311yescharacteristic
1699C2C2×D13×#13511yescharacteristic
1700C2#1312961811yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3296C2
socleC22×C13C23×D4
prime radical#13128663C2
hypercenter#3296D13
hypocenterC13#61696
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
2. D13×#552C2semidirect
3. #13127222C2semidirect
4. #13127220C2semidirect
5. #13127210C2semidirect
6. #13127208C2semidirect
7. #13127207C2semidirect
8. #13127205C2semidirect
9. #13127202C2semidirect
10. #13127198C2semidirect
11. #13126730C2semidirect
12. #13126724C2semidirect
13. #13126722C2semidirect
14. #13126716C2semidirect
15. #13126675C2semidirect
16. #13126671C2semidirect
17. #13126667C2semidirect
18. #13126002C2semidirect
19. #13125999C2semidirect
20. #13125615C2semidirect
21. #13125612C2semidirect
22. #13125607C2semidirect
23. #13125590C2semidirect
24. #13124915C2semidirect
25. #13124914C2semidirect
26. #13124748C2semidirect
27. #13124747C2semidirect
28. D13×#483C2semidirect
29. C2×#11718435C2semidirect
30. #13123857C2semidirect
31. C13×#3296C2semidirect
40. #11719399C22semidirect
43. D13×#125C22semidirect
52. #11719344C22semidirect
55. D13×C22⋊Q8C22semidirect
62. #11719286C22semidirect
63. C4×Q8×D13C22semidirect
70. #11719234C22semidirect
72. D13×#117C22semidirect
77. C13×#488C22semidirect
78. C13×#483C22semidirect
79. C13×#482C22semidirect
80. C13×#478C22semidirect
81. C13×#467C22semidirect
82. C13×#465C22semidirect
83. C13×#464C22semidirect
84. C13×#452C22semidirect
85. C13×#450C22semidirect
86. C4×C13×SD16C22semidirect
88. C13×#416C22semidirect
89. C2×C13×#102C22semidirect
90. #11718900C22semidirect
91. #11718894C22semidirect
92. #11718879C22semidirect
93. C2×#88072C22semidirect
94. #11718849C22semidirect
95. #11718847C22semidirect
96. #11718847C22semidirect
97. Q16×Dic13C22semidirect
98. #11718834C22semidirect
99. #11718832C22semidirect
100. #11718832C22semidirect
101. #11718832C22semidirect
104. #11718827C22semidirect
105. SD16×Dic13C22semidirect
106. #11718777C22semidirect
107. #11718777C22semidirect
109. C8×C22⋊D13C22semidirect
111. C2×#88060C22semidirect
112. #11718767C22semidirect
113. C2×#88058C22semidirect
114. #11718725C22semidirect
115. #11718724C22semidirect
116. #11718717C22semidirect
117. #11718715C22semidirect
118. #11718712C22semidirect
119. #11718712C22semidirect
120. #11718712C22semidirect
121. #11718706C22semidirect
122. #11718704C22semidirect
123. #11718704C22semidirect
124. #11718702C22semidirect
125. #11718696C22semidirect
126. C4×#6107C22semidirect
127. #11718683C22semidirect
128. C4×#6105C22semidirect
130. #11718670C22semidirect
131. #11718659C22semidirect
132. #11718657C22semidirect
133. #11718632C22semidirect
134. C2×#88047C22semidirect
135. #11718545C22semidirect
136. #11718545C22semidirect
137. #11718541C22semidirect
138. #11718539C22semidirect
139. #11718528C22semidirect
140. #11718523C22semidirect
141. #11718523C22semidirect
142. #11718521C22semidirect
143. D13×#106C22semidirect
144. D13×#106C22semidirect
145. #11718519C22semidirect
146. #11718518C22semidirect
147. #11718495C22semidirect
148. #11718494C22semidirect
149. #11718490C22semidirect
150. #11718490C22semidirect
151. #11718476C22semidirect
152. #11718475C22semidirect
153. #11718475C22semidirect
154. #11718474C22semidirect
155. #11718470C22semidirect
156. #11718470C22semidirect
157. #11718469C22semidirect
158. #11718469C22semidirect
159. #11718466C22semidirect
160. #11718466C22semidirect
161. D13×#103C22semidirect
162. D13×#103C22semidirect
163. #11718460C22semidirect
164. #11718457C22semidirect
165. #11718457C22semidirect
166. #11718451C22semidirect
167. #11718445C22semidirect
168. #11718444C22semidirect
169. #11718440C22semidirect
170. #11718439C22semidirect
171. #11718439C22semidirect
172. #11718439C22semidirect
179. #11718435C22semidirect
180. #11718435C22semidirect
181. #11718435C22semidirect
182. #11718435C22semidirect
183. #11718433C22semidirect
184. #11718433C22semidirect
185. #11718429C22semidirect
186. #11718429C22semidirect
187. #11718428C22semidirect
188. #11718427C22semidirect
189. #11718424C22semidirect
190. #11718419C22semidirect
192. #11718386C22semidirect
194. D13×C22⋊C8C22semidirect
195. #11718384C22semidirect
196. #11718384C22semidirect
197. #11718382C22semidirect
198. #11718382C22semidirect
199. C4×Dic52C22semidirect
200. C8×D52C22semidirect
201. #11718346C22semidirect
202. #11718344C22semidirect
700. #3296D13semidirect
874. #488C2×D13semidirect
896. #483C2×D13semidirect
900. #482C2×D13semidirect
922. #478C2×D13semidirect
930. #467C2×D13semidirect
938. #465C2×D13semidirect
942. #464C2×D13semidirect
946. #452C2×D13semidirect
952. #450C2×D13semidirect
962. C4×SD16C2×D13semidirect
984. #416C2×D13semidirect
988. C2×#102C2×D13semidirect
1532. C13#61696semidirect

Maximal subgroups

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

subgroupindex
#131286632
D13×#5522
#131272222
#131272202
#131272102
#131272082
#131272072
#131272052
#131272022
#131271982
#131267302
#131267242
#131267222
#131267162
#131266752
#131266712
#131266672
#131260022
#131259992
#131256152
#131256122
#131256072
#131255902
#131249152
#131249142
#131247482
#131247472
D13×#4832
C2×#117184352
#131238572
C13×#32962
#6169613