Finite Group Databasebeta

← #16758074

Subgroups — #16758074

Order 3328.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129166C211yesmaximal, characteristic, complemented
2#13128908C211yesmaximal, characteristic, complemented
3#13127904C211yesmaximal, characteristic, complemented
4#13127858C211yesmaximal, characteristic, complemented
5#13127591C211yesmaximal, characteristic, complemented
6#13127545C211yesmaximal, characteristic, complemented
7#13127068C211yesmaximal, characteristic, complemented
8#13127039C211yesmaximal, characteristic, complemented
9#13126979C211yesmaximal, characteristic, complemented
10#13126964C211yesmaximal, characteristic, complemented
11#13126874C211yesmaximal, characteristic, complemented
12#13126859C211yesmaximal, characteristic, complemented
13#13126448C211yesmaximal, characteristic, complemented
14#13126438C211yesmaximal, characteristic, complemented
15#13126381C211yesmaximal, characteristic, complemented
16#13126366C211yesmaximal, characteristic, complemented
17#13126321C211yesmaximal, characteristic, complemented
18#13126321C211yesmaximal, characteristic, complemented
19#13126283C211yesmaximal, characteristic, complemented
20#13126249C211yesmaximal, characteristic, complemented
21#13126237C211yesmaximal, characteristic, complemented
22#13125932C211yesmaximal, characteristic, complemented
23#13125910C211yesmaximal, characteristic, complemented
24#13125856C211yesmaximal, characteristic, complemented
25#13125080C211yesmaximal, characteristic, complemented
26#13125037C211yesmaximal, characteristic, complemented
27#13124947C211yesmaximal, characteristic, complemented
28#13124377C211yesmaximal, characteristic, complemented
29#13124340C211yesmaximal, characteristic, complemented
30#13124317C211yesmaximal, characteristic, complemented
31C13×#2995C211yesmaximal, characteristic, complemented
32C13×#529C2211yescharacteristic
33C2×#88162C2211yescharacteristic, complemented
34C2×#88162C2211yescharacteristic, complemented
35C2×#88162C2211yescharacteristic, complemented
36C2×#88162C2211yescharacteristic, complemented
37C2×#88158C2211yescharacteristic, complemented
38C22×D104C2211yescharacteristic, complemented
39#11719416—21no—
40#11719416—21no—
41#11719411—21no—
42D13×#126—21no—
43#11719403—21no—
44#11719398—21no—
45#11719384—21no—
46#11719379—21no—
47#11719366—21no—
48#11719364—21no—
49#11719358—21no—
50#11719358—21no—
51#11719343—21no—
52#11719335—21no—
53#11719318—21no—
54#11719314—21no—
55#11719290C2211yescharacteristic, complemented
56#11719289C2211yescharacteristic, complemented
57#11719284C2211yescharacteristic, complemented
58#11719282C2211yescharacteristic, complemented
59#11719270C2211yescharacteristic, complemented
60#11719258C2211yescharacteristic
61#11719256C2211yescharacteristic, complemented
62#11719255C2211yescharacteristic
63#11719255C2211yescharacteristic, complemented
64#11719255C2211yescharacteristic, complemented
65#11719255C2211yescharacteristic, complemented
66D4×D52C2211yescharacteristic
67D4×D52C2211yescharacteristic
68D4×D52C2211yescharacteristic, complemented
69#11719247C2211yescharacteristic, complemented
70#11719246C2211yescharacteristic, complemented
71#11719240C2211yescharacteristic
72#11719240C2211yescharacteristic, complemented
73#11719239C2211yescharacteristic, complemented
74#11719230C2211yescharacteristic
75#11719230C2211yescharacteristic, complemented
76#11719228C2211yescharacteristic, complemented
77#11719226C2211yescharacteristic, complemented
78#11719223C2211yescharacteristic, complemented
79#11719184C2211yescharacteristic, complemented
80#11719184C2211yescharacteristic, complemented
81C2×#88128C2211yescharacteristic, complemented
82C4×#6127C2211yescharacteristic, complemented
83C13×#446C2211yescharacteristic, complemented
84C13×#446C2211yescharacteristic, complemented
85C13×#436C2211yescharacteristic, complemented
86C13×#436C2211yescharacteristic, complemented
87C13×#435C2211yescharacteristic, complemented
88C13×#435C2211yescharacteristic, complemented
89C13×#435C2211yescharacteristic, complemented
90C13×#435C2211yescharacteristic, complemented
91C13×#433C2211yescharacteristic, complemented
92C13×#433C2211yescharacteristic, complemented
93C13×#432C2211yescharacteristic, complemented
94C13×#424C2211yescharacteristic, complemented
95C13×#424C2211yescharacteristic, complemented
96C13×#423C2211yescharacteristic, complemented
97#11718798C2211yescharacteristic, complemented
98#11718796C2211yescharacteristic
99#11718796C2211yescharacteristic, complemented
100#11718795C2211yescharacteristic, complemented
101#11718795C2211yescharacteristic, complemented
102#11718795C2211yescharacteristic, complemented
103#11718795C2211yescharacteristic, complemented
104#11718795C2211yescharacteristic, complemented
105#11718794C2211yescharacteristic, complemented
106#11718792C2211yescharacteristic, complemented
107#11718792C2211yescharacteristic, complemented
108#11718792C2211yescharacteristic, complemented
109#11718776C2211yescharacteristic, complemented
110#11718775C2211yescharacteristic, complemented
111#11718775C2211yescharacteristic, complemented
112#11718775C2211yescharacteristic, complemented
113#11718774C2211yescharacteristic, complemented
114C2×#88061C2211yescharacteristic, complemented
115#11718509C2211yescharacteristic, complemented
116#11718509C2211yescharacteristic, complemented
117#11718509C2211yescharacteristic, complemented
118#11718509C2211yescharacteristic, complemented
119#11718509C2211yescharacteristic, complemented
120#11718509C2211yescharacteristic, complemented
121#11718509C2211yescharacteristic, complemented
122#11718508C2211yescharacteristic, complemented
123#11718508C2211yescharacteristic, complemented
124#11718508C2211yescharacteristic, complemented
125#11718508C2211yescharacteristic, complemented
126#11718508C2211yescharacteristic, complemented
127#11718507C2211yescharacteristic, complemented
128#11718506C2211yescharacteristic, complemented
129#11718506C2211yescharacteristic, complemented
130#11718506C2211yescharacteristic, complemented
131#11718506C2211yescharacteristic, complemented
132#11718505C2211yescharacteristic, complemented
133#11718505C2211yescharacteristic, complemented
134#11718505C2211yescharacteristic, complemented
135#11718505C2211yescharacteristic, complemented
136#11718505C2211yescharacteristic, complemented
137#11718505C2211yescharacteristic, complemented
138#11718505C2211yescharacteristic, complemented
139#11718505C2211yescharacteristic, complemented
140#11718504C2211yescharacteristic
141#11718504C2211yescharacteristic, complemented
142#11718504C2211yescharacteristic, complemented
143#11718504C2211yescharacteristic, complemented
144#11718504C2211yescharacteristic, complemented
145#11718504C2211yescharacteristic, complemented
146#11718504C2211yescharacteristic, complemented
147#11718504C2211yescharacteristic, complemented
148#11718504C2211yescharacteristic, complemented
149#11718503C2211yescharacteristic, complemented
150#11718502C2211yescharacteristic, complemented
151#11718502C2211yescharacteristic, complemented
152#11718490C2211yescharacteristic, complemented
153#11718490C2211yescharacteristic, complemented
154#11718490C2211yescharacteristic, complemented
155#11718398C2211yescharacteristic, complemented
156#11718398C2211yescharacteristic, complemented
157#11718398C2211yescharacteristic, complemented
158#11718397C2211yescharacteristic, complemented
159#11718396C2211yescharacteristic, complemented
160#11718395C2211yescharacteristic
161#11718395C2211yescharacteristic, complemented
162#11718395C2211yescharacteristic, complemented
163#11718395C2211yescharacteristic, complemented
164#11718394C2211yescharacteristic, complemented
165#11718394C2211yescharacteristic, complemented
166#11718394C2211yescharacteristic, complemented
167#11718394C2211yescharacteristic, complemented
168#11718393C2211yescharacteristic, complemented
169#11718393C2211yescharacteristic, complemented
170#11718393C2211yescharacteristic, complemented
171#11718393C2211yescharacteristic, complemented
172#11718393C2211yescharacteristic, complemented
173#11718392C2211yescharacteristic, complemented
174#11718392C2211yescharacteristic, complemented
175#11718392C2211yescharacteristic, complemented
176#11718392C2211yescharacteristic, complemented
177#11718392C2211yescharacteristic, complemented
178#11718384C2211yescharacteristic, complemented
179#11718377C2211yescharacteristic, complemented
180#11718376C2211yescharacteristic, complemented
181#11718375C2211yescharacteristic, complemented
182#11718374C2211yescharacteristic, complemented
183#11718374C2211yescharacteristic, complemented
184#11718374C2211yescharacteristic, complemented
185#11718373C2211yescharacteristic
186#11718373C2211yescharacteristic, complemented
187#11718373C2211yescharacteristic, complemented
188#11718372C2211yescharacteristic, complemented
189#11718372C2211yescharacteristic, complemented
190#11718372C2211yescharacteristic, complemented
191#11718372C2211yescharacteristic, complemented
192#11718371C2211yescharacteristic, complemented
193#11718371C2211yescharacteristic, complemented
194#11718371C2211yescharacteristic, complemented
195#11718358C2211yescharacteristic, complemented
196#11718357C2211yescharacteristic, complemented
197#11718355C2211yescharacteristic, complemented
198#11718354C2211yescharacteristic, complemented
199C4×D104C2211yescharacteristic, complemented
200C4×D104C2211yescharacteristic, complemented
201C4×D104C2211yescharacteristic, complemented
202C4×#6095C2211yescharacteristic, complemented
203C2×#6131—21no—
204C2×D4×D13—21no—
205C2×D4×D13—21no—
206C2×D4×D13—21no—
207C2×#6127C2311yescharacteristic
208C2×#6127C2311yescharacteristic
209C2×#6127C2311yescharacteristic
210C2×#6127C2311yescharacteristic
211C22×D52—21no—
212C22×D52—21no—
213C22×D52C2311yescharacteristic
214C22×D52C2311yescharacteristic
215C22×D52C2311yescharacteristic
216C22×D52C2311yescharacteristic
217C22×D52C2311yescharacteristic
218C2×C13×M16C2311yescharacteristic
219C2×C13×M16C2311yescharacteristic
220C2×C13×M16C2311yescharacteristic
221C2×C13×M16C2311yescharacteristic
222C22×C8×C13C2311yescharacteristic
223C22×C8×C13C2311yescharacteristic
224C13×#126D411yescharacteristic
225C13×#126D411yescharacteristic
226C13×#125D411yescharacteristic
227C13×#124D411yescharacteristic
228C13×#123D411yescharacteristic
229C13×#123D411yescharacteristic
230C13×C22⋊Q8D411yescharacteristic
231C13×#121D411yescharacteristic
232C4×Q8×C13C2311yescharacteristic
233C4×D4×C13C2311yescharacteristic
234C4×D4×C13C2311yescharacteristic
235C4×D4×C13C2311yescharacteristic
236C13×#117C2311yescharacteristic
237C13×#117C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239#88201—21no—
240#88200—21no—
241#88200—21no—
242#88194—21no—
243#88193—21no—
244#88192—21no—
245#88191—21no—
246#88191—21no—
247#88191—21no—
248#88191—21no—
249#88190—21no—
250#88189—21no—
251#88184C2311yescharacteristic
252#88184C2311yescharacteristic
253#88184C2311yescharacteristic
254#88184C2311yescharacteristic
255#88184C2311yescharacteristic
256#88184C2311yescharacteristic
257#88184C2311yescharacteristic
258#88183—21no—
259#88183—21no—
260C4×C22⋊D13—21no—
261C4×C22⋊D13—21no—
262C4×C22⋊D13—21no—
263C4×C22⋊D13—21no—
264#88180C2311yescharacteristic
265#88180C2311yescharacteristic
266C2×C4⋊Dic13C2311yescharacteristic
267#88178C2311yescharacteristic
268#88178C2311yescharacteristic
269#88178C2311yescharacteristic
270#88178C2311yescharacteristic
271#88178C2311yescharacteristic
272#88162—42no—
273#88162—42no—
274#88162—42no—
275#88162—42no—
276C2×Dic52C2311yescharacteristic
277C2×Dic52C2311yescharacteristic
278#88158—42no—
279C2×D104—42no—
280C2×D104C2311yescharacteristic
281C2×D104C2311yescharacteristic
282C2×D104C2311yescharacteristic
283C2×D104C2311yescharacteristic
284C2×D104C2311yescharacteristic
285C2×D104C2311yescharacteristic
286C2×D104C2311yescharacteristic
287C2×D104C2311yescharacteristic
288C2×D104C2311yescharacteristic
289C2×D104C2311yescharacteristic
290C2×#6095C2311yescharacteristic
291C2×#6095C2311yescharacteristic
292C2×#6095C2311yescharacteristic
293C2×#6095C2311yescharacteristic
294C2×#6095C2311yescharacteristic
295C2×#6095C2311yescharacteristic
296C2×#6095C2311yescharacteristic
297C2×#6095C2311yescharacteristic
298C2×#6095C2311yescharacteristic
299C2×#6095C2311yescharacteristic
300C2×#6095C2311yescharacteristic
301C2×#6095C2311yescharacteristic
302#88152—21no—
303#88152—21no—
304#88152—21no—
305#88152—21no—
306#88150—21no—
307#88150—21no—
308#88150—21no—
309#88149—21no—
310#88149—21no—
311#88149—21no—
312#88149—21no—
313#88149—21no—
314#88149—21no—
315#88149—21no—
316#88149—21no—
317#88149—21no—
318#88149—21no—
319#88148—21no—
320#88148—21no—
321#88148—21no—
322#88148—21no—
323#88148—21no—
324#88148—21no—
325#88148—21no—
326#88148—21no—
327#88148—21no—
328#88148—21no—
329#88147—21no—
330#88147—21no—
331#88147—21no—
332#88147—21no—
333#88146—21no—
334#88146—21no—
335C4⋊C4×D13—21no—
336C4⋊C4×D13—21no—
337C4⋊C4×D13—21no—
338#88143—21no—
339#88143—21no—
340#88143—21no—
341#88141—21no—
342#88139—21no—
343#88138—21no—
344#88138—21no—
345#88138—21no—
346#88138—21no—
347#88138—21no—
348#88138—21no—
349#88138—21no—
350#88138—21no—
351#88138—21no—
352#88138—21no—
353#88137—21no—
354#88137—21no—
355#88137—21no—
356#88137—21no—
357#88136—21no—
358#88136—21no—
359#88136—21no—
360#88136—21no—
361#88136—21no—
362#88136—21no—
363#88136—21no—
364#88136—21no—
365#88136—21no—
366#88136—21no—
367#88135—21no—
368#88135—21no—
369#88135—21no—
370C22⋊C4×D13—21no—
371C22⋊C4×D13—21no—
372C22⋊C4×D13—21no—
373C22⋊C4×D13—21no—
374C22⋊C4×D13—21no—
375C22⋊C4×D13—21no—
376#88133—21no—
377#88133—21no—
378#88133—21no—
379#88133—21no—
380#88133—21no—
381#88131—21no—
382#88130—21no—
383#88130—21no—
384#88129C2311yescharacteristic
385#88129C2311yescharacteristic
386#88129C2311yescharacteristic
387#88129C2311yescharacteristic
388#88129C2311yescharacteristic
389#88128—21no—
390#88128—21no—
391#88128C2311yescharacteristic
392#88128C2311yescharacteristic
393#88128C2311yescharacteristic
394#88128C2311yescharacteristic
395#88128C2311yescharacteristic
396#88128C2311yescharacteristic
397C4×D52C2311yescharacteristic
398C4×D52C2311yescharacteristic
399C4×D52C2311yescharacteristic
400C4×D52C2311yescharacteristic
401C4×D52C2311yescharacteristic
402C4×D52C2311yescharacteristic
403C4×D52C2311yescharacteristic
404C4×D52C2311yescharacteristic
405C4×D52C2311yescharacteristic
406C4×D52C2311yescharacteristic
407C4×D52C2311yescharacteristic
408#88126—21no—
409#88126—21no—
410#88126—21no—
411C42×D13—21no—
412#88124C2311yescharacteristic
413#88124C2311yescharacteristic
414#88124C2311yescharacteristic
415#88123C2311yescharacteristic
416#88123C2311yescharacteristic
417C4×Dic26C2311yescharacteristic
418C4×Dic26C2311yescharacteristic
419C4×Dic26C2311yescharacteristic
420C4×Dic26C2311yescharacteristic
421C4×Dic26C2311yescharacteristic
422C13×C4⋊C8C2311yescharacteristic
423C13×C4⋊C8C2311yescharacteristic
424C13×C4⋊C8C2311yescharacteristic
425C13×C4⋊C8C2311yescharacteristic
426C13×C4⋊C8C2311yescharacteristic
427C13×C4⋊C8C2311yescharacteristic
428C13×C4⋊C8C2311yescharacteristic
429C13×C4⋊C8C2311yescharacteristic
430C13×C4⋊C8C2311yescharacteristic
431C13×C4⋊C8C2311yescharacteristic
432C13×C22⋊C8C2311yescharacteristic
433C13×C22⋊C8C2311yescharacteristic
434C13×C22⋊C8C2311yescharacteristic
435C13×C22⋊C8C2311yescharacteristic
436C13×C22⋊C8C2311yescharacteristic
437C13×C22⋊C8C2311yescharacteristic
438C13×#97C2311yescharacteristic
439C13×#97C2311yescharacteristic
440C13×#97C2311yescharacteristic
441C13×#97C2311yescharacteristic
442C4×C8×C13C2311yescharacteristic
443C4×C8×C13C2311yescharacteristic
444#88061C2311yescharacteristic
445#88061C2311yescharacteristic
446#88061C2311yescharacteristic
447#88061C2311yescharacteristic
448#88061C2311yescharacteristic
449#88061C2311yescharacteristic
450#88061C2311yescharacteristic
451#88061C2311yescharacteristic
452#88061C2311yescharacteristic
453#88061C2311yescharacteristic
454#88061C2311yescharacteristic
455#88061C2311yescharacteristic
456#88061C2311yescharacteristic
457#88061C2311yescharacteristic
458#88061C2311yescharacteristic
459#88061C2311yescharacteristic
460#88061C2311yescharacteristic
461#88061C2311yescharacteristic
462#88061C2311yescharacteristic
463#88061C2311yescharacteristic
464#88061C2311yescharacteristic
465#88061C2311yescharacteristic
466#88061C2311yescharacteristic
467#88061C2311yescharacteristic
468#88058C2311yescharacteristic
469#88058C2311yescharacteristic
470#88058C2311yescharacteristic
471#88058C2311yescharacteristic
472#88057C2311yescharacteristic
473#88057C2311yescharacteristic
474#88057C2311yescharacteristic
475#88057C2311yescharacteristic
476#88056C2311yescharacteristic
477#88056C2311yescharacteristic
478#88056C2311yescharacteristic
479#88056C2311yescharacteristic
480#88056C2311yescharacteristic
481#88056C2311yescharacteristic
482#88056C2311yescharacteristic
483#88056C2311yescharacteristic
484#62079—131nomaximal, Sylow
485C23×D13—21no—
486C23×D13—21no—
487C23×D13—21no—
488C23×D13—21no—
489C23×D13—21no—
490C2×Q8×C13C2×D411yescharacteristic
491C2×D4×C13C2×D411yescharacteristic
492C2×D4×C13C2×D411yescharacteristic
493C2×D4×C13C2×D411yescharacteristic
494C22×C4×C13C2×D411yescharacteristic
495C22×C4×C13C2×D411yescharacteristic
496C22×C4×C13C2411yescharacteristic
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—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C2×C22⋊D13—21no—
510C22×Dic13—21no—
511#6131—82no—
512D4×D13—82no—
513D4×D13—82no—
514D4×D13—82no—
515#6127—22no—
516#6127—22no—
517#6127—41no—
518#6127—41no—
519#6127—41no—
520#6127—41no—
521#6127—41no—
522#6127—41no—
523C2×D52—22no—
524C2×D52—21no—
525C2×D52—21no—
526C2×D52—21no—
527C2×D52—21no—
528C2×D52—21no—
529C2×D52—21no—
530C2×D52—21no—
531C2×D52—21no—
532C2×D52—21no—
533C2×D52—21no—
534C2×D52—21no—
535C2×D52—21no—
536C2×D52—21no—
537C2×D52—21no—
538C2×D52—21no—
539C2×D52—21no—
540C2×D52—21no—
541C2×D52—41no—
542C2×D52—41no—
543C2×D52—41no—
544C2×D52—41no—
545C2×D52—41no—
546C2×D52—41no—
547C2×D52—41no—
548C2×D52—41no—
549C2×D52—41no—
550C2×D52—82no—
551C2×D52—82no—
552C2×D52C2411yescharacteristic
553C2×D52C2411yescharacteristic
554C2×D52C2411yescharacteristic
555C2×D52C2411yescharacteristic
556C2×D52C2411yescharacteristic
557C2×D52C2411yescharacteristic
558C2×D52C2411yescharacteristic
559C2×C4×D13—21no—
560C2×C4×D13—21no—
561C2×C4×D13—21no—
562C2×C4×D13—21no—
563C2×C4×D13—21no—
564C2×C4×D13—21no—
565C2×C4×D13—21no—
566C2×C4×D13—21no—
567C2×C4×D13—21no—
568C2×C4×D13—21no—
569C2×C4×D13—21no—
570C2×C4×D13—21no—
571C2×C4×D13—21no—
572C2×C4×D13—21no—
573C2×C4×D13—21no—
574C2×Dic26—21no—
575C2×Dic26C2411yescharacteristic
576C2×Dic26C2411yescharacteristic
577C2×Dic26C2411yescharacteristic
578C13×M16—41no—
579C13×M16—41no—
580C13×M16—41no—
581C13×M16—41no—
582C2×C8×C13—41no—
583C2×C8×C13—41no—
584C2×C8×C13C2411yescharacteristic
585C2×C8×C13C2411yescharacteristic
586C2×C8×C13C2411yescharacteristic
587C2×C8×C13C2411yescharacteristic
588C2×C8×C13C2411yescharacteristic
589C2×C8×C13C2411yescharacteristic
590C2×C8×C13C2411yescharacteristic
591C2×C8×C13C2411yescharacteristic
592C13×C4⋊C4C2×D411yescharacteristic
593C13×C4⋊C4C2×D411yescharacteristic
594C13×C4⋊C4C2×D411yescharacteristic
595C13×C4⋊C4C2×D411yescharacteristic
596C13×C4⋊C4C2×D411yescharacteristic
597C13×C4⋊C4C2×D411yescharacteristic
598C13×C4⋊C4C2×D411yescharacteristic
599C13×C4⋊C4C2×D411yescharacteristic
600C13×C4⋊C4C2×D411yescharacteristic
601C13×C4⋊C4C2×D411yescharacteristic
602C13×C22⋊C4C2×D411yescharacteristic
603C13×C22⋊C4C2×D411yescharacteristic
604C13×C22⋊C4C2×D411yescharacteristic
605C13×C22⋊C4C2×D411yescharacteristic
606C13×C22⋊C4C2×D411yescharacteristic
607C13×C22⋊C4C2×D411yescharacteristic
608C13×C22⋊C4C2×D411yescharacteristic
609C13×C22⋊C4C2×D411yescharacteristic
610C13×C22⋊C4C2×D411yescharacteristic
611C13×C22⋊C4C2×D411yescharacteristic
612C42×C13C2×D411yescharacteristic
613C42×C13C2×D411yescharacteristic
614C42×C13C2411yescharacteristic
615C42×C13C2411yescharacteristic
616C42×C13C2411yescharacteristic
617C42×C13C2411yescharacteristic
618C22⋊Dic13—21no—
619C22⋊Dic13—21no—
620C22⋊Dic13—21no—
621C22⋊Dic13—21no—
622C22⋊Dic13—21no—
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633#6103—21no—
634#6103—21no—
635#6103—21no—
636#6103—21no—
637#6103—21no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650#6103—21no—
651#6103—21no—
652#6103—21no—
653C4⋊Dic13—21no—
654C4⋊Dic13—21no—
655C4⋊Dic13—21no—
656C4⋊Dic13—21no—
657C4⋊Dic13C2411yescharacteristic
658C4⋊Dic13C2411yescharacteristic
659C4⋊Dic13C2411yescharacteristic
660C4⋊Dic13C2411yescharacteristic
661C4⋊Dic13C2411yescharacteristic
662C4⋊Dic13C2411yescharacteristic
663#6101—21no—
664#6101—21no—
665#6101—21no—
666#6101—21no—
667#6101—21no—
668#6101—21no—
669#6101—21no—
670#6101—21no—
671#6101—21no—
672#6101—21no—
673#6101—21no—
674#6101—21no—
675#6101—21no—
676#6101—21no—
677#6101—21no—
678#6101—21no—
679C4×Dic13—21no—
680C4×Dic13—21no—
681C4×Dic13—21no—
682C4×Dic13—21no—
683C4×Dic13—21no—
684C4×Dic13—21no—
685C4×Dic13—21no—
686Dic52—41no—
687Dic52—41no—
688D104—22no—
689D104—22no—
690D104—22no—
691D104—22no—
692D104—22no—
693D104—41no—
694D104—41no—
695D104—41no—
696D104—41no—
697D104—41no—
698#6095—22no—
699#6095—41no—
700#6095—41no—
701#6095—41no—
702#6095—41no—
703#6095—41no—
704#6095—41no—
705#6095—41no—
706#6095—41no—
707#6095—41no—
708#6095—41no—
709#6095—41no—
710#3543—131no—
711#3521—131no—
712#3401—131no—
713#3397—131no—
714#3370—131no—
715#3366—131no—
716#3324—131no—
717#3322—131no—
718#3318—131no—
719#3317—131no—
720#3311—131no—
721#3310—131no—
722#3273—131no—
723#3272—131no—
724#3268—131no—
725#3267—131no—
726#3264—131no—
727#3264—131no—
728#3260—131no—
729#3257—131no—
730#3256—131no—
731#3224—131no—
732#3222—131no—
733#3217—131no—
734#3122—131no—
735#3119—131no—
736#3111—131no—
737#3045—131no—
738#3041—131no—
739#3038—131no—
740#2995D1311yescharacteristic, complemented
741C23×C13C22×D411yescharacteristic
742C23×C13C22×D411yescharacteristic
743C23×C13C22×D411yescharacteristic
744C22×D13—21no—
745C22×D13—21no—
746C22×D13—21no—
747C22×D13—21no—
748C22×D13—21no—
749C22×D13—21no—
750C22×D13—21no—
751C22×D13—42no—
752C22×D13—42no—
753C22×D13—42no—
754C22×D13—81no—
755C22×D13—81no—
756C22×D13—81no—
757C22×D13—81no—
758C22×D13—81no—
759C22×D13—81no—
760C22×D13—81no—
761C22×D13—81no—
762C22×D13—81no—
763C22×D13—81no—
764C22×D13—81no—
765C22×D13—81no—
766Q8×C13—41no—
767D4×C13—41no—
768D4×C13—41no—
769D4×C13—41no—
770C2×C4×C13—21no—
771C2×C4×C13—21no—
772C2×C4×C13—21no—
773C2×C4×C13—21no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—41no—
777C2×C4×C13—41no—
778C2×C4×C13C22×D411yescharacteristic
779C2×C4×C13C22×D411yescharacteristic
780C2×C4×C13C22×D411yescharacteristic
781C2×C4×C13C22×D411yescharacteristic
782C2×C4×C13C22×D411yescharacteristic
783C2×C4×C13C22×D411yescharacteristic
784C2×C4×C13C22×D411yescharacteristic
785C2×C4×C13C22×D411yescharacteristic
786C2×C4×C13C22×D411yescharacteristic
787C2×C4×C13C22×D411yescharacteristic
788C2×C4×C13C22×D411yescharacteristic
789C2×C4×C13C2511yescharacteristic
790C22⋊D13—42no—
791C22⋊D13—42no—
792C22⋊D13—42no—
793C22⋊D13—81no—
794C22⋊D13—81no—
795C22⋊D13—81no—
796C22⋊D13—81no—
797C22⋊D13—81no—
798C22⋊D13—81no—
799C22⋊D13—81no—
800C22⋊D13—81no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—21no—
808C2×Dic13—21no—
809C2×Dic13—21no—
810C2×Dic13—81no—
811D52—21no—
812D52—21no—
813D52—21no—
814D52—21no—
815D52—21no—
816D52—21no—
817D52—21no—
818D52—21no—
819D52—21no—
820D52—21no—
821D52—21no—
822D52—21no—
823D52—21no—
824D52—42no—
825D52—42no—
826D52—42no—
827D52—81no—
828D52—81no—
829D52—81no—
830D52—81no—
831D52—81no—
832D52—81no—
833D52—81no—
834D52—81no—
835D52—81no—
836D52—81no—
837D52—81no—
838D52—81no—
839D52—81no—
840D52—81no—
841D52H(5,𝔽2)12yes—
842C4×D13—42no—
843C4×D13—42no—
844C4×D13—42no—
845C4×D13—81no—
846C4×D13—81no—
847C4×D13—81no—
848C4×D13—81no—
849C4×D13—81no—
850C4×D13—81no—
851C4×D13—81no—
852C4×D13—81no—
853C4×D13—81no—
854C4×D13—81no—
855C4×D13—81no—
856C4×D13—81no—
857Dic26—21no—
858Dic26—21no—
859Dic26—21no—
860Dic26—21no—
861Dic26—21no—
862Dic26—21no—
863Dic26—81no—
864C8×C13—21no—
865C8×C13—21no—
866C8×C13—21no—
867C8×C13—21no—
868C8×C13—21no—
869C8×C13—21no—
870C8×C13—21no—
871C8×C13—21no—
872C2×AGL(1,ℤ/8)—131no—
873C2×AGL(1,ℤ/8)—131no—
874C2×AGL(1,ℤ/8)—131no—
875C2×AGL(1,ℤ/8)—131no—
876C2×#135—131no—
877C22×D8—131no—
878#560—261no—
879#560—261no—
880#559—131no—
881#556—131no—
882#556—131no—
883#554—131no—
884#553—131no—
885#553—261no—
886#552—131no—
887#552—261no—
888#551—261no—
889#551—261no—
890#550—131no—
891#550—131no—
892#547—131no—
893#546—131no—
894#546—131no—
895#546—131no—
896#546—131no—
897#546—261no—
898D42—131no—
899D42—131no—
900D42—131no—
901D42—261no—
902#542—131no—
903#541—131no—
904#540—131no—
905#540—131no—
906#540—261no—
907#539—261no—
908#538—261no—
909#535—131no—
910#535—131no—
911#535—261no—
912#534—261no—
913#534—261no—
914C2×#127—131no—
915#529—131no—
916#529—131no—
917#529—261no—
918#529C2×D1311yescharacteristic
919C2×#126—261no—
920#520—131no—
921#518—131no—
922C4×#41—131no—
923#497—131no—
924#496—131no—
925#496—131no—
926#496—131no—
927#495—131no—
928#492—131no—
929#490—131no—
930#490—131no—
931#490—131no—
932#489—131no—
933#488—131no—
934#486—131no—
935#485—131no—
936#482—131no—
937#482—131no—
938#482—131no—
939#481—131no—
940#480—131no—
941#479—131no—
942#479—131no—
943#479—131no—
944#478—131no—
945#478—131no—
946#478—131no—
947#478—131no—
948#478—131no—
949#476—131no—
950#474—131no—
951#470—131no—
952#469—131no—
953#469—131no—
954#468—131no—
955#468—131no—
956#468—131no—
957#468—131no—
958#468—131no—
959#466—131no—
960#465—131no—
961#465—131no—
962#465—131no—
963#464—131no—
964#464—131no—
965#464—131no—
966#464—131no—
967#463—131no—
968#463—131no—
969#463—131no—
970#463—131no—
971#463—131no—
972#463—131no—
973#463—131no—
974#463—131no—
975#461—131no—
976#461—131no—
977#460—131no—
978#460—131no—
979#460—131no—
980#460—131no—
981#460—131no—
982#460—131no—
983#460—131no—
984#459—131no—
985#459—131no—
986#459—131no—
987#459—131no—
988#459—131no—
989#459—131no—
990#459—131no—
991#459—131no—
992#459—131no—
993#452—131no—
994#452—131no—
995#452—131no—
996#452—131no—
997#450—131no—
998#450—131no—
999#450—131no—
1000#450—131no—
1001#450—131no—
1002#449—131no—
1003#449—131no—
1004#449—131no—
1005#449—131no—
1006#447—131no—
1007#447—131no—
1008#447—131no—
1009#447—131no—
1010#447—131no—
1011#446C2×D1311yescharacteristic, complemented
1012#446C2×D1311yescharacteristic, complemented
1013#442—131no—
1014#442—131no—
1015#442—131no—
1016#442—131no—
1017#441—131no—
1018#440—131no—
1019#440—131no—
1020#440—131no—
1021C4×SD16—131no—
1022C4×D8—131no—
1023C4×D8—131no—
1024C4×D8—131no—
1025#436C2×D1311yescharacteristic, complemented
1026#436C2×D1311yescharacteristic, complemented
1027#435C2×D1311yescharacteristic, complemented
1028#435C2×D1311yescharacteristic, complemented
1029#435C2×D1311yescharacteristic, complemented
1030#435C2×D1311yescharacteristic, complemented
1031#433C2×D1311yescharacteristic, complemented
1032#433C2×D1311yescharacteristic, complemented
1033#432C2×D1311yescharacteristic, complemented
1034#424C2×D1311yescharacteristic, complemented
1035#424C2×D1311yescharacteristic, complemented
1036#423C2×D1311yescharacteristic, complemented
1037#418—131no—
1038#418—131no—
1039#418—131no—
1040#417—131no—
1041#416—131no—
1042C2×#102—131no—
1043C22×C13—21no—
1044C22×C13—21no—
1045C22×C13—21no—
1046C22×C13—21no—
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—21no—
1050C22×C13—21no—
1051C22×C13—21no—
1052C22×C13C23×D411yescharacteristic
1053C2×D13—22no—
1054C2×D13—41no—
1055C2×D13—41no—
1056C2×D13—41no—
1057C2×D13—41no—
1058C2×D13—41no—
1059C2×D13—41no—
1060C2×D13—41no—
1061C2×D13—41no—
1062C2×D13—41no—
1063C2×D13—41no—
1064C2×D13—41no—
1065C2×D13—41no—
1066C2×D13—41no—
1067C2×D13—41no—
1068C2×D13—41no—
1069C2×D13—41no—
1070C2×D13—41no—
1071C2×D13—41no—
1072C2×D13—41no—
1073C2×D13—41no—
1074C2×D13—162no—
1075C2×D13—162no—
1076C2×D13—162no—
1077C2×D13—162no—
1078C2×D13—162no—
1079C4×C13—21no—
1080C4×C13—21no—
1081C4×C13—21no—
1082C4×C13—21no—
1083C4×C13—21no—
1084C4×C13—21no—
1085C4×C13—21no—
1086C4×C13—21no—
1087C4×C13—21no—
1088C4×C13—21no—
1089C4×C13—21no—
1090C4×C13C2×H(5,𝔽2)11yescharacteristic
1091C4×C13#58511yescharacteristic
1092Dic13—41no—
1093Dic13—41no—
1094Dic13—41no—
1095Dic13—41no—
1096Dic13—41no—
1097Dic13—41no—
1098Dic13—41no—
1099Dic13—41no—
1100Dic13—41no—
1101C2×#41—131no—
1102C2×#41—131no—
1103C2×#41—131no—
1104C2×#41—131no—
1105C2×#41—261no—
1106C22×D4—131no—
1107C22×D4—131no—
1108C22×D4—131no—
1109C22×D4—131no—
1110C22×D4—131no—
1111C22×D4—261no—
1112C22×D4—261no—
1113C22×D4—261no—
1114C22×D4—261no—
1115C22×D4—261no—
1116AGL(1,ℤ/8)—522no—
1117AGL(1,ℤ/8)—522no—
1118AGL(1,ℤ/8)—522no—
1119AGL(1,ℤ/8)—522no—
1120#135—522no—
1121C2×Q16—131no—
1122C2×Q16—131no—
1123C2×SD16—131no—
1124C2×SD16—131no—
1125C2×SD16—131no—
1126C2×SD16—131no—
1127C2×SD16—131no—
1128C2×SD16—131no—
1129C2×SD16—131no—
1130C2×SD16—131no—
1131C2×SD16—131no—
1132C2×SD16—131no—
1133C2×SD16—131no—
1134C2×SD16—131no—
1135C2×D8—131no—
1136C2×D8—131no—
1137C2×D8—131no—
1138C2×D8—131no—
1139C2×D8—131no—
1140C2×D8—131no—
1141C2×D8—131no—
1142C2×D8—131no—
1143C2×D8—131no—
1144C2×D8—131no—
1145C2×D8—522no—
1146C2×M16C22×D1311yescharacteristic
1147C2×M16C22×D1311yescharacteristic
1148C2×M16C22×D1311yescharacteristic
1149C2×M16C22×D1311yescharacteristic
1150C22×C8C22×D1311yescharacteristic
1151C22×C8C22×D1311yescharacteristic
1152C4⋊Q8—131no—
1153C4⋊Q8—131no—
1154#127—131no—
1155#127—131no—
1156#127—131no—
1157#127—131no—
1158#127—131no—
1159#127—131no—
1160#127—261no—
1161#127—261no—
1162#127—261no—
1163#126—261no—
1164#126—261no—
1165#126—261no—
1166#126—261no—
1167#126—261no—
1168#126—261no—
1169#126—261no—
1170#126—261no—
1171#126—261no—
1172#126—261no—
1173#126—261no—
1174#126D5211yescharacteristic
1175#126D5211yescharacteristic
1176#125—131no—
1177#125—131no—
1178#125—131no—
1179#125—261no—
1180#125—261no—
1181#125—261no—
1182#125D5211yescharacteristic
1183#124—131no—
1184#124—131no—
1185#124—131no—
1186#124—131no—
1187#124—131no—
1188#124—261no—
1189#124—261no—
1190#124—261no—
1191#124D5211yescharacteristic
1192#123—261no—
1193#123—261no—
1194#123—261no—
1195#123—261no—
1196#123—261no—
1197#123—261no—
1198#123—261no—
1199#123—261no—
1200#123—261no—
1201#123—261no—
1202#123—261no—
1203#123—261no—
1204#123—261no—
1205#123—261no—
1206#123—261no—
1207#123—261no—
1208#123—261no—
1209#123D5211yescharacteristic
1210#123D5211yescharacteristic
1211C22⋊Q8—131no—
1212C22⋊Q8—131no—
1213C22⋊Q8—131no—
1214C22⋊Q8—131no—
1215C22⋊Q8—131no—
1216C22⋊Q8—261no—
1217C22⋊Q8—261no—
1218C22⋊Q8—261no—
1219C22⋊Q8—261no—
1220C22⋊Q8—261no—
1221C22⋊Q8D5211yescharacteristic
1222#121—131no—
1223#121—131no—
1224#121—131no—
1225#121—131no—
1226#121—131no—
1227#121—131no—
1228#121—131no—
1229#121—261no—
1230#121—261no—
1231#121—261no—
1232#121—261no—
1233#121—261no—
1234#121—261no—
1235#121—261no—
1236#121—261no—
1237#121—261no—
1238#121—261no—
1239#121—261no—
1240#121—261no—
1241#121—261no—
1242#121—261no—
1243#121—261no—
1244#121—261no—
1245#121—261no—
1246#121—261no—
1247#121—261no—
1248#121—261no—
1249#121—261no—
1250#121—261no—
1251#121D5211yescharacteristic
1252#120—261no—
1253#120—261no—
1254#120—261no—
1255#120—261no—
1256#120—261no—
1257#120—261no—
1258#120—261no—
1259#120—261no—
1260#120—261no—
1261#120—261no—
1262#120—261no—
1263#120—261no—
1264#120—261no—
1265#120—261no—
1266C4×Q8—131no—
1267C4×Q8—131no—
1268C4×Q8—131no—
1269C4×Q8—131no—
1270C4×Q8—131no—
1271C4×Q8—261no—
1272C4×Q8C22×D1311yescharacteristic
1273C4×D4—131no—
1274C4×D4—131no—
1275C4×D4—131no—
1276C4×D4—131no—
1277C4×D4—131no—
1278C4×D4—131no—
1279C4×D4—131no—
1280C4×D4—131no—
1281C4×D4—131no—
1282C4×D4—131no—
1283C4×D4—131no—
1284C4×D4—261no—
1285C4×D4—261no—
1286C4×D4—261no—
1287C4×D4—261no—
1288C4×D4—261no—
1289C4×D4—261no—
1290C4×D4—261no—
1291C4×D4—261no—
1292C4×D4—261no—
1293C4×D4—261no—
1294C4×D4—261no—
1295C4×D4C22×D1311yescharacteristic
1296C4×D4C22×D1311yescharacteristic
1297C4×D4C22×D1311yescharacteristic
1298#117—131no—
1299#117—131no—
1300#117—261no—
1301#117—261no—
1302#117—261no—
1303#117—261no—
1304#117—261no—
1305#117—261no—
1306#117C22×D1311yescharacteristic
1307#117C22×D1311yescharacteristic
1308C2×C4⋊C4—131no—
1309C2×C4⋊C4—261no—
1310C2×C4⋊C4—261no—
1311C2×C4⋊C4—261no—
1312C2×C22⋊C4—261no—
1313C2×C22⋊C4—261no—
1314C2×C22⋊C4—261no—
1315C2×C22⋊C4—261no—
1316C2×C22⋊C4—261no—
1317C2×C22⋊C4—261no—
1318C2×C42—261no—
1319C2×C42C22×D1311yescharacteristic
1320#107—131no—
1321#107—131no—
1322#107—131no—
1323#107—131no—
1324#106—131no—
1325#106—131no—
1326#106—131no—
1327#106—131no—
1328C4⋊C8C22×D1311yescharacteristic
1329C4⋊C8C22×D1311yescharacteristic
1330C4⋊C8C22×D1311yescharacteristic
1331C4⋊C8C22×D1311yescharacteristic
1332C4⋊C8C22×D1311yescharacteristic
1333C4⋊C8C22×D1311yescharacteristic
1334C4⋊C8C22×D1311yescharacteristic
1335C4⋊C8C22×D1311yescharacteristic
1336C4⋊C8C22×D1311yescharacteristic
1337C4⋊C8C22×D1311yescharacteristic
1338#103—131no—
1339#103—131no—
1340#103—131no—
1341#103—131no—
1342#103—131no—
1343#103—131no—
1344#103—131no—
1345#103—131no—
1346#102—131no—
1347#102—131no—
1348#102—131no—
1349#102—131no—
1350#102—131no—
1351#102—131no—
1352#102—131no—
1353#102—131no—
1354#102—131no—
1355#102—131no—
1356#102—131no—
1357#102—131no—
1358#102—131no—
1359#102—131no—
1360#102—131no—
1361#102—131no—
1362#102—131no—
1363#102—131no—
1364#102—131no—
1365#102—131no—
1366#102—131no—
1367#102—131no—
1368#102—131no—
1369#102—131no—
1370C22⋊C8C22×D1311yescharacteristic
1371C22⋊C8C22×D1311yescharacteristic
1372C22⋊C8C22×D1311yescharacteristic
1373C22⋊C8C22×D1311yescharacteristic
1374C22⋊C8C22×D1311yescharacteristic
1375C22⋊C8C22×D1311yescharacteristic
1376#97C22×D1311yescharacteristic
1377#97C22×D1311yescharacteristic
1378#97C22×D1311yescharacteristic
1379#97C22×D1311yescharacteristic
1380C4×C8C22×D1311yescharacteristic
1381C4×C8C22×D1311yescharacteristic
1382C2×C13—41no—
1383C2×C13—41no—
1384C2×C13—41no—
1385C2×C13#348811yescharacteristic
1386C2×C13#358511yescharacteristic
1387C2×C13#358511yescharacteristic
1388D13—42no—
1389D13—81no—
1390D13—81no—
1391D13—81no—
1392D13—81no—
1393D13—81no—
1394D13—81no—
1395C24—261no—
1396C24—261no—
1397C24—261no—
1398C24—261no—
1399C24—261no—
1400#41—262no—
1401#41—262no—
1402#41—521no—
1403#41—521no—
1404#41—521no—
1405#41—521no—
1406#41—521no—
1407#41—521no—
1408#41—1042no—
1409C2×Q8—131no—
1410C2×Q8—131no—
1411C2×Q8—131no—
1412C2×Q8—261no—
1413C2×Q8C2×D5211yescharacteristic
1414C2×D4—131no—
1415C2×D4—131no—
1416C2×D4—131no—
1417C2×D4—131no—
1418C2×D4—131no—
1419C2×D4—131no—
1420C2×D4—131no—
1421C2×D4—262no—
1422C2×D4—261no—
1423C2×D4—261no—
1424C2×D4—261no—
1425C2×D4—261no—
1426C2×D4—261no—
1427C2×D4—261no—
1428C2×D4—261no—
1429C2×D4—261no—
1430C2×D4—261no—
1431C2×D4—261no—
1432C2×D4—261no—
1433C2×D4—261no—
1434C2×D4—261no—
1435C2×D4—261no—
1436C2×D4—261no—
1437C2×D4—261no—
1438C2×D4—261no—
1439C2×D4—261no—
1440C2×D4—261no—
1441C2×D4—261no—
1442C2×D4—261no—
1443C2×D4—261no—
1444C2×D4—261no—
1445C2×D4—261no—
1446C2×D4—261no—
1447C2×D4—261no—
1448C2×D4—261no—
1449C2×D4—261no—
1450C2×D4—521no—
1451C2×D4—521no—
1452C2×D4—521no—
1453C2×D4—521no—
1454C2×D4—521no—
1455C2×D4—521no—
1456C2×D4—521no—
1457C2×D4—521no—
1458C2×D4—521no—
1459C2×D4—1042no—
1460C2×D4—1042no—
1461C2×D4—1042no—
1462C2×D4—1042no—
1463C2×D4—1042no—
1464C2×D4C2×D5211yescharacteristic
1465C2×D4C2×D5211yescharacteristic
1466C2×D4C2×D5211yescharacteristic
1467C22×C4—261no—
1468C22×C4—261no—
1469C22×C4—261no—
1470C22×C4—261no—
1471C22×C4—261no—
1472C22×C4—261no—
1473C22×C4—261no—
1474C22×C4—261no—
1475C22×C4—261no—
1476C22×C4—261no—
1477C22×C4—261no—
1478C22×C4—261no—
1479C22×C4—261no—
1480C22×C4—261no—
1481C22×C4—261no—
1482C22×C4—261no—
1483C22×C4C2×D5211yescharacteristic
1484C22×C4C2×D5211yescharacteristic
1485C22×C4C23×D1311yescharacteristic
1486C22×C4C23×D1311yescharacteristic
1487C22×C4C23×D1311yescharacteristic
1488Q16—521no—
1489Q16—521no—
1490SD16—262no—
1491SD16—521no—
1492SD16—521no—
1493SD16—521no—
1494SD16—521no—
1495SD16—521no—
1496SD16—521no—
1497SD16—521no—
1498SD16—521no—
1499SD16—521no—
1500SD16—521no—
1501SD16—521no—
1502D8—262no—
1503D8—262no—
1504D8—262no—
1505D8—262no—
1506D8—262no—
1507D8—521no—
1508D8—521no—
1509D8—521no—
1510D8—521no—
1511D8—521no—
1512M16—41no—
1513M16—41no—
1514M16—41no—
1515M16—41no—
1516C2×C8—41no—
1517C2×C8—41no—
1518C2×C8C23×D1311yescharacteristic
1519C2×C8C23×D1311yescharacteristic
1520C2×C8C23×D1311yescharacteristic
1521C2×C8C23×D1311yescharacteristic
1522C2×C8C23×D1311yescharacteristic
1523C2×C8C23×D1311yescharacteristic
1524C2×C8C23×D1311yescharacteristic
1525C2×C8C23×D1311yescharacteristic
1526C4⋊C4—131no—
1527C4⋊C4—131no—
1528C4⋊C4—131no—
1529C4⋊C4—131no—
1530C4⋊C4—131no—
1531C4⋊C4—131no—
1532C4⋊C4—261no—
1533C4⋊C4—261no—
1534C4⋊C4—261no—
1535C4⋊C4—261no—
1536C4⋊C4—261no—
1537C4⋊C4—261no—
1538C4⋊C4—261no—
1539C4⋊C4—261no—
1540C4⋊C4—261no—
1541C4⋊C4—261no—
1542C4⋊C4—261no—
1543C4⋊C4—261no—
1544C4⋊C4—261no—
1545C4⋊C4—261no—
1546C4⋊C4—261no—
1547C4⋊C4—261no—
1548C4⋊C4—261no—
1549C4⋊C4—261no—
1550C4⋊C4—261no—
1551C4⋊C4—261no—
1552C4⋊C4C2×D5211yescharacteristic
1553C4⋊C4C2×D5211yescharacteristic
1554C4⋊C4C2×D5211yescharacteristic
1555C4⋊C4C2×D5211yescharacteristic
1556C4⋊C4C2×D5211yescharacteristic
1557C4⋊C4C2×D5211yescharacteristic
1558C4⋊C4C2×D5211yescharacteristic
1559C4⋊C4C2×D5211yescharacteristic
1560C4⋊C4C2×D5211yescharacteristic
1561C4⋊C4C2×D5211yescharacteristic
1562C22⋊C4—261no—
1563C22⋊C4—261no—
1564C22⋊C4—261no—
1565C22⋊C4—261no—
1566C22⋊C4—261no—
1567C22⋊C4—261no—
1568C22⋊C4—261no—
1569C22⋊C4—261no—
1570C22⋊C4—261no—
1571C22⋊C4—261no—
1572C22⋊C4—261no—
1573C22⋊C4—261no—
1574C22⋊C4—261no—
1575C22⋊C4—261no—
1576C22⋊C4—261no—
1577C22⋊C4—261no—
1578C22⋊C4—261no—
1579C22⋊C4—261no—
1580C22⋊C4—261no—
1581C22⋊C4—261no—
1582C22⋊C4—261no—
1583C22⋊C4—261no—
1584C22⋊C4—261no—
1585C22⋊C4—261no—
1586C22⋊C4—261no—
1587C22⋊C4—261no—
1588C22⋊C4—261no—
1589C22⋊C4—261no—
1590C22⋊C4—261no—
1591C22⋊C4—261no—
1592C22⋊C4—261no—
1593C22⋊C4—261no—
1594C22⋊C4—261no—
1595C22⋊C4—261no—
1596C22⋊C4—261no—
1597C22⋊C4C2×D5211yescharacteristic
1598C22⋊C4C2×D5211yescharacteristic
1599C22⋊C4C2×D5211yescharacteristic
1600C22⋊C4C2×D5211yescharacteristic
1601C22⋊C4C2×D5211yescharacteristic
1602C22⋊C4C2×D5211yescharacteristic
1603C22⋊C4C2×D5211yescharacteristic
1604C22⋊C4C2×D5211yescharacteristic
1605C22⋊C4C2×D5211yescharacteristic
1606C22⋊C4C2×D5211yescharacteristic
1607C42—261no—
1608C42—261no—
1609C42—261no—
1610C42—261no—
1611C42—261no—
1612C42—261no—
1613C42—261no—
1614C42C2×D5211yescharacteristic
1615C42C2×D5211yescharacteristic
1616C42C23×D1311yescharacteristic
1617C42C23×D1311yescharacteristic
1618C42C23×D1311yescharacteristic
1619C42C23×D1311yescharacteristic
1620C13#6207911yescharacteristic, complemented, Sylow
1621C23—261no—
1622C23—261no—
1623C23—261no—
1624C23—261no—
1625C23—261no—
1626C23—261no—
1627C23—261no—
1628C23—522no—
1629C23—522no—
1630C23—522no—
1631C23—1041no—
1632C23—1041no—
1633C23—1041no—
1634C23—1041no—
1635C23—1041no—
1636C23—1041no—
1637C23—1041no—
1638C23—1041no—
1639C23—1041no—
1640C23—1041no—
1641C23—1041no—
1642C23—1041no—
1643C23C22×D5211yescharacteristic
1644C23C22×D5211yescharacteristic
1645C23C22×D5211yescharacteristic
1646Q8—41no—
1647Q8—261no—
1648Q8—261no—
1649Q8—261no—
1650Q8—261no—
1651Q8—261no—
1652Q8—261no—
1653Q8—1041no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—132no—
1658D4—261no—
1659D4—261no—
1660D4—261no—
1661D4—261no—
1662D4—261no—
1663D4—261no—
1664D4—261no—
1665D4—261no—
1666D4—261no—
1667D4—261no—
1668D4—261no—
1669D4—261no—
1670D4—261no—
1671D4—522no—
1672D4—522no—
1673D4—522no—
1674D4—522no—
1675D4—522no—
1676D4—522no—
1677D4—1041no—
1678D4—1041no—
1679D4—1041no—
1680D4—1041no—
1681D4—1041no—
1682D4—1041no—
1683D4—1041no—
1684D4—1041no—
1685D4—1041no—
1686D4—1041no—
1687D4—1041no—
1688D4—1041no—
1689D4—1041no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4—1041no—
1694D4—1041no—
1695D4—1041no—
1696D4—1041no—
1697D4—1041no—
1698D4—1041no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—261no—
1708C2×C4—261no—
1709C2×C4—261no—
1710C2×C4—261no—
1711C2×C4—261no—
1712C2×C4—261no—
1713C2×C4—261no—
1714C2×C4—261no—
1715C2×C4—261no—
1716C2×C4—522no—
1717C2×C4—522no—
1718C2×C4—522no—
1719C2×C4—1041no—
1720C2×C4—1041no—
1721C2×C4—1041no—
1722C2×C4—1041no—
1723C2×C4—1041no—
1724C2×C4—1041no—
1725C2×C4—1041no—
1726C2×C4—1041no—
1727C2×C4—1041no—
1728C2×C4—1041no—
1729C2×C4—1041no—
1730C2×C4—1041no—
1731C2×C4—1041no—
1732C2×C4C22×D5211yescharacteristic
1733C2×C4C22×D5211yescharacteristic
1734C2×C4C22×D5211yescharacteristic
1735C2×C4C22×D5211yescharacteristic
1736C2×C4C22×D5211yescharacteristic
1737C2×C4C22×D5211yescharacteristic
1738C2×C4C22×D5211yescharacteristic
1739C2×C4C22×D5211yescharacteristic
1740C2×C4C22×D5211yescharacteristic
1741C2×C4C22×D5211yescharacteristic
1742C2×C4C22×D5211yescharacteristic
1743C2×C4C24×D1311yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—21no—
1749C8—21no—
1750C8—21no—
1751C8—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—262no—
1762C22—521no—
1763C22—521no—
1764C22—521no—
1765C22—521no—
1766C22—521no—
1767C22—521no—
1768C22—521no—
1769C22—521no—
1770C22—521no—
1771C22—521no—
1772C22—521no—
1773C22—521no—
1774C22—521no—
1775C22—521no—
1776C22—521no—
1777C22—521no—
1778C22—521no—
1779C22—521no—
1780C22—521no—
1781C22—521no—
1782C22—2082no—
1783C22—2082no—
1784C22—2082no—
1785C22—2082no—
1786C22—2082no—
1787C22C23×D5211yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—521no—
1800C4—521no—
1801C4—521no—
1802C4—521no—
1803C4—521no—
1804C4—521no—
1805C4—521no—
1806C4—521no—
1807C4—521no—
1808C4D13×H(5,𝔽2)11yescharacteristic
1809C4#1171965211yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—41no—
1813C2—522no—
1814C2—1041no—
1815C2—1041no—
1816C2—1041no—
1817C2—1041no—
1818C2—1041no—
1819C2—1041no—
1820C2#1312850611yescharacteristic
1821C2#1312961711yescharacteristic
1822C2#1312961711yescharacteristic
subgroupG/H
centerC22C23×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#2995C2
socleC22×C13C23×D4
hypercenter#2995D13
hypocenterC13#62079
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #2995

Complements

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

NH ≅ G/Ntype
1. #13129166C2semidirect
2. #13128908C2semidirect
3. #13127904C2semidirect
4. #13127858C2semidirect
5. #13127591C2semidirect
6. #13127545C2semidirect
7. #13127068C2semidirect
8. #13127039C2semidirect
9. #13126979C2semidirect
10. #13126964C2semidirect
11. #13126874C2semidirect
12. #13126859C2semidirect
13. #13126448C2semidirect
14. #13126438C2semidirect
15. #13126381C2semidirect
16. #13126366C2semidirect
17. #13126321C2semidirect
18. #13126321C2semidirect
19. #13126283C2semidirect
20. #13126249C2semidirect
21. #13126237C2semidirect
22. #13125932C2semidirect
23. #13125910C2semidirect
24. #13125856C2semidirect
25. #13125080C2semidirect
26. #13125037C2semidirect
27. #13124947C2semidirect
28. #13124377C2semidirect
29. #13124340C2semidirect
30. #13124317C2semidirect
31. C13×#2995C2semidirect
33. C2×#88162C22semidirect
34. C2×#88162C22semidirect
35. C2×#88162C22semidirect
36. C2×#88162C22semidirect
37. C2×#88158C22semidirect
38. C22×D104C22semidirect
55. #11719290C22semidirect
56. #11719289C22semidirect
57. #11719284C22semidirect
58. #11719282C22semidirect
59. #11719270C22semidirect
61. #11719256C22semidirect
63. #11719255C22semidirect
64. #11719255C22semidirect
65. #11719255C22semidirect
68. D4×D52C22semidirect
69. #11719247C22semidirect
70. #11719246C22semidirect
72. #11719240C22semidirect
73. #11719239C22semidirect
75. #11719230C22semidirect
76. #11719228C22semidirect
77. #11719226C22semidirect
78. #11719223C22semidirect
79. #11719184C22semidirect
80. #11719184C22semidirect
81. C2×#88128C22semidirect
82. C4×#6127C22semidirect
83. C13×#446C22semidirect
84. C13×#446C22semidirect
85. C13×#436C22semidirect
86. C13×#436C22semidirect
87. C13×#435C22semidirect
88. C13×#435C22semidirect
89. C13×#435C22semidirect
90. C13×#435C22semidirect
91. C13×#433C22semidirect
92. C13×#433C22semidirect
93. C13×#432C22semidirect
94. C13×#424C22semidirect
95. C13×#424C22semidirect
96. C13×#423C22semidirect
97. #11718798C22semidirect
99. #11718796C22semidirect
100. #11718795C22semidirect
101. #11718795C22semidirect
102. #11718795C22semidirect
103. #11718795C22semidirect
104. #11718795C22semidirect
105. #11718794C22semidirect
106. #11718792C22semidirect
107. #11718792C22semidirect
108. #11718792C22semidirect
109. #11718776C22semidirect
110. #11718775C22semidirect
111. #11718775C22semidirect
112. #11718775C22semidirect
113. #11718774C22semidirect
114. C2×#88061C22semidirect
115. #11718509C22semidirect
116. #11718509C22semidirect
117. #11718509C22semidirect
118. #11718509C22semidirect
119. #11718509C22semidirect
120. #11718509C22semidirect
121. #11718509C22semidirect
122. #11718508C22semidirect
123. #11718508C22semidirect
124. #11718508C22semidirect
125. #11718508C22semidirect
126. #11718508C22semidirect
127. #11718507C22semidirect
128. #11718506C22semidirect
129. #11718506C22semidirect
130. #11718506C22semidirect
131. #11718506C22semidirect
132. #11718505C22semidirect
133. #11718505C22semidirect
134. #11718505C22semidirect
135. #11718505C22semidirect
136. #11718505C22semidirect
137. #11718505C22semidirect
138. #11718505C22semidirect
139. #11718505C22semidirect
141. #11718504C22semidirect
142. #11718504C22semidirect
143. #11718504C22semidirect
144. #11718504C22semidirect
145. #11718504C22semidirect
146. #11718504C22semidirect
147. #11718504C22semidirect
148. #11718504C22semidirect
149. #11718503C22semidirect
150. #11718502C22semidirect
151. #11718502C22semidirect
152. #11718490C22semidirect
153. #11718490C22semidirect
154. #11718490C22semidirect
155. #11718398C22semidirect
156. #11718398C22semidirect
157. #11718398C22semidirect
158. #11718397C22semidirect
159. #11718396C22semidirect
161. #11718395C22semidirect
162. #11718395C22semidirect
163. #11718395C22semidirect
164. #11718394C22semidirect
165. #11718394C22semidirect
166. #11718394C22semidirect
167. #11718394C22semidirect
168. #11718393C22semidirect
169. #11718393C22semidirect
170. #11718393C22semidirect
171. #11718393C22semidirect
172. #11718393C22semidirect
173. #11718392C22semidirect
174. #11718392C22semidirect
175. #11718392C22semidirect
176. #11718392C22semidirect
177. #11718392C22semidirect
178. #11718384C22semidirect
179. #11718377C22semidirect
180. #11718376C22semidirect
181. #11718375C22semidirect
182. #11718374C22semidirect
183. #11718374C22semidirect
184. #11718374C22semidirect
186. #11718373C22semidirect
187. #11718373C22semidirect
188. #11718372C22semidirect
189. #11718372C22semidirect
190. #11718372C22semidirect
191. #11718372C22semidirect
192. #11718371C22semidirect
193. #11718371C22semidirect
194. #11718371C22semidirect
195. #11718358C22semidirect
196. #11718357C22semidirect
197. #11718355C22semidirect
198. #11718354C22semidirect
199. C4×D104C22semidirect
200. C4×D104C22semidirect
201. C4×D104C22semidirect
202. C4×#6095C22semidirect
740. #2995D13semidirect
1011. #446C2×D13semidirect
1012. #446C2×D13semidirect
1025. #436C2×D13semidirect
1026. #436C2×D13semidirect
1027. #435C2×D13semidirect
1028. #435C2×D13semidirect
1029. #435C2×D13semidirect
1030. #435C2×D13semidirect
1031. #433C2×D13semidirect
1032. #433C2×D13semidirect
1033. #432C2×D13semidirect
1034. #424C2×D13semidirect
1035. #424C2×D13semidirect
1036. #423C2×D13semidirect
1620. C13#62079semidirect

Maximal subgroups

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

subgroupindex
#131291662
#131289082
#131279042
#131278582
#131275912
#131275452
#131270682
#131270392
#131269792
#131269642
#131268742
#131268592
#131264482
#131264382
#131263812
#131263662
#131263212
#131262832
#131262492
#131262372
#131259322
#131259102
#131258562
#131250802
#131250372
#131249472
#131243772
#131243402
#131243172
C13×#29952
#6207913