Finite Group Databasebeta

← #16744913

Subgroups — #16744913

Order 3328.

1920 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128446C211yesmaximal, characteristic, complemented
2#13128398C211yesmaximal, characteristic, complemented
3#13127903C211yesmaximal, characteristic, complemented
4#13127795C211yesmaximal, characteristic, complemented
5#13127668C211yesmaximal, characteristic, complemented
6#13127590C211yesmaximal, characteristic, complemented
7#13127332C211yesmaximal, characteristic, complemented
8#13127296C211yesmaximal, characteristic, complemented
9#13127216C211yesmaximal, characteristic, complemented
10#13126988C211yesmaximal, characteristic, complemented
11#13126922C211yesmaximal, characteristic, complemented
12#13126862C211yesmaximal, characteristic, complemented
13#13126808C211yesmaximal, characteristic, complemented
14#13126687C211yesmaximal, characteristic, complemented
15#13126672C211yesmaximal, characteristic, complemented
16#13126515C211yesmaximal, characteristic, complemented
17#13126361C211yesmaximal, characteristic, complemented
18#13126318C211yesmaximal, characteristic, complemented
19#13125568C211yesmaximal, characteristic, complemented
20#13125543C211yesmaximal, characteristic, complemented
21#13125534C211yesmaximal, characteristic, complemented
22#13124987C211yesmaximal, characteristic, complemented
23#13124978C211yesmaximal, characteristic, complemented
24#13124978C211yesmaximal, characteristic, complemented
25#13124949C211yesmaximal, characteristic, complemented
26#13124945C211yesmaximal, characteristic, complemented
27#13124933C211yesmaximal, characteristic, complemented
28#13123847C211yesmaximal, characteristic, complemented
29#13123647C211yesmaximal, characteristic, complemented
30D13×#442C211yesmaximal, characteristic, complemented
31C13×#2943C211yesmaximal, characteristic, complemented
32C2×C13×#135C2211yescharacteristic
33C4×C13×#41C2211yescharacteristic, complemented
34C4×C13×#41C2211yescharacteristic, complemented
35#11719534C2211yescharacteristic
36#11719534C2211yescharacteristic, complemented
37#11719534C2211yescharacteristic, complemented
38#11719529C2211yescharacteristic, complemented
39C2×#88165C2211yescharacteristic
40C2×D8×D13C2211yescharacteristic
41#11719290C2211yescharacteristic, complemented
42#11719286C2211yescharacteristic
43#11719285C2211yescharacteristic
44#11719285C2211yescharacteristic, complemented
45#11719285C2211yescharacteristic, complemented
46#11719284C2211yescharacteristic
47#11719283C2211yescharacteristic, complemented
48#11719273C2211yescharacteristic, complemented
49#11719270—21no—
50#11719261—21no—
51#11719259C2211yescharacteristic
52#11719255—21no—
53D4×D52C2211yescharacteristic
54#11719252—21no—
55#11719252—21no—
56#11719252—21no—
57C4×D4×D13C2211yescharacteristic
58C4×D4×D13C2211yescharacteristic, complemented
59C4×D4×D13C2211yescharacteristic, complemented
60#11719248C2211yescharacteristic, complemented
61#11719245—21no—
62#11719244C2211yescharacteristic, complemented
63#11719243—21no—
64C4×#6129C2211yescharacteristic, complemented
65#11719237C2211yescharacteristic, complemented
66#11719236—21no—
67#11719235C2211yescharacteristic
68#11719235C2211yescharacteristic, complemented
69#11719234C2211yescharacteristic, complemented
70#11719232—21no—
71#11719232—21no—
72#11719232—21no—
73#11719184—21no—
74#11719184—21no—
75#11719184C2211yescharacteristic, complemented
76#11719182C2211yescharacteristic, complemented
77C4×#6127C2211yescharacteristic
78C2×C4×D52—21no—
79C2×#88126—21no—
80C13×#442C2211yescharacteristic
81C13×#442C2211yescharacteristic
82C13×#441C2211yescharacteristic, complemented
83C13×#441C2211yescharacteristic, complemented
84C13×#440C2211yescharacteristic, complemented
85C13×#440C2211yescharacteristic, complemented
86C13×#440C2211yescharacteristic, complemented
87C13×#440C2211yescharacteristic, complemented
88C13×#427C2211yescharacteristic, complemented
89C13×#416C2211yescharacteristic, complemented
90C13×#416C2211yescharacteristic, complemented
91C2×C13×#97C2211yescharacteristic, complemented
92#11718900C2211yescharacteristic, complemented
93#11718899C2211yescharacteristic
94#11718899C2211yescharacteristic, complemented
95#11718899C2211yescharacteristic, complemented
96#11718852C2211yescharacteristic, complemented
97#11718851C2211yescharacteristic, complemented
98#11718850C2211yescharacteristic, complemented
99#11718849C2211yescharacteristic, complemented
100#11718834C2211yescharacteristic, complemented
101#11718830C2211yescharacteristic
102#11718830C2211yescharacteristic, complemented
103#11718830C2211yescharacteristic, complemented
104#11718826C2211yescharacteristic
105#11718826C2211yescharacteristic, complemented
106#11718826C2211yescharacteristic, complemented
107#11718823C2211yescharacteristic, complemented
108#11718813C2211yescharacteristic
109D8×Dic13C2211yescharacteristic
110#11718776C2211yescharacteristic, complemented
111#11718776C2211yescharacteristic, complemented
112#11718775C2211yescharacteristic, complemented
113#11718775C2211yescharacteristic, complemented
114#11718772C2211yescharacteristic, complemented
115#11718772C2211yescharacteristic, complemented
116C8×C22⋊D13C2211yescharacteristic, complemented
117C8×C22⋊D13C2211yescharacteristic, complemented
118#11718691C2211yescharacteristic, complemented
119#11718689C2211yescharacteristic, complemented
120#11718688C2211yescharacteristic, complemented
121#11718687C2211yescharacteristic, complemented
122#11718687C2211yescharacteristic, complemented
123#11718687C2211yescharacteristic, complemented
124#11718683C2211yescharacteristic, complemented
125#11718681C2211yescharacteristic, complemented
126#11718679C2211yescharacteristic, complemented
127#11718677C2211yescharacteristic
128#11718676C2211yescharacteristic
129#11718675C2211yescharacteristic
130#11718675C2211yescharacteristic, complemented
131#11718675C2211yescharacteristic, complemented
132#11718670C2211yescharacteristic, complemented
133#11718668C2211yescharacteristic, complemented
134#11718664C2211yescharacteristic, complemented
135#11718664C2211yescharacteristic, complemented
136#11718664C2211yescharacteristic, complemented
137#11718657C2211yescharacteristic, complemented
138#11718587C2211yescharacteristic, complemented
139#11718552C2211yescharacteristic, complemented
140#11718552C2211yescharacteristic, complemented
141#11718551C2211yescharacteristic, complemented
142#11718546C2211yescharacteristic, complemented
143#11718545C2211yescharacteristic, complemented
144#11718543C2211yescharacteristic
145#11718543C2211yescharacteristic, complemented
146#11718538C2211yescharacteristic, complemented
147#11718530C2211yescharacteristic, complemented
148#11718526C2211yescharacteristic
149#11718525C2211yescharacteristic
150#11718522C2211yescharacteristic, complemented
151D13×#106C2211yescharacteristic, complemented
152#11718519C2211yescharacteristic, complemented
153#11718517C2211yescharacteristic, complemented
154#11718513C2211yescharacteristic, complemented
155#11718480C2211yescharacteristic, complemented
156#11718480C2211yescharacteristic, complemented
157#11718479C2211yescharacteristic, complemented
158#11718475C2211yescharacteristic, complemented
159#11718474C2211yescharacteristic, complemented
160#11718473C2211yescharacteristic, complemented
161#11718473C2211yescharacteristic, complemented
162#11718470C2211yescharacteristic, complemented
163#11718468C2211yescharacteristic
164#11718466C2211yescharacteristic, complemented
165#11718466C2211yescharacteristic, complemented
166#11718461C2211yescharacteristic, complemented
167#11718461C2211yescharacteristic, complemented
168#11718459C2211yescharacteristic, complemented
169#11718458C2211yescharacteristic, complemented
170#11718456C2211yescharacteristic, complemented
171#11718446C2211yescharacteristic
172#11718446C2211yescharacteristic, complemented
173#11718442C2211yescharacteristic
174#11718437C2211yescharacteristic
175#11718434C2211yescharacteristic
176#11718434C2211yescharacteristic
177#11718432C2211yescharacteristic, complemented
178#11718431C2211yescharacteristic, complemented
179D13×#102C2211yescharacteristic
180D13×#102C2211yescharacteristic, complemented
181#11718427C2211yescharacteristic, complemented
182#11718424C2211yescharacteristic, complemented
183#11718424C2211yescharacteristic, complemented
184#11718420C2211yescharacteristic, complemented
185#11718419C2211yescharacteristic, complemented
186#11718417C2211yescharacteristic, complemented
187#11718375C2211yescharacteristic, complemented
188#11718374C2211yescharacteristic, complemented
189#11718373C2211yescharacteristic
190#11718372C2211yescharacteristic, complemented
191#11718372C2211yescharacteristic, complemented
192#11718371C2211yescharacteristic, complemented
193#11718371C2211yescharacteristic, complemented
194#11718368C2211yescharacteristic, complemented
195#11718367C2211yescharacteristic
196#11718367C2211yescharacteristic
197#11718366C2211yescharacteristic, complemented
198#11718366C2211yescharacteristic, complemented
199D13×#97C2211yescharacteristic, complemented
200#11718363C2211yescharacteristic, complemented
201#11718362C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C2×#6129C2311yescharacteristic
206C2×D4×D13C2311yescharacteristic
207C2×D4×D13C2311yescharacteristic
208C2×D4×D13C2311yescharacteristic
209C2×#6127—21no—
210C2×#6127D411yescharacteristic
211C22×D52—21no—
212C22×C4×D13—21no—
213C22×C4×D13—21no—
214C22×C4×D13—21no—
215C13×#135—24no—
216C2×C13×Q16C2311yescharacteristic
217C2×C13×SD16C2311yescharacteristic
218C2×C13×SD16C2311yescharacteristic
219C2×C13×D8C2311yescharacteristic
220C22×C8×C13C2311yescharacteristic
221C22×C8×C13C2311yescharacteristic
222C4×Q8×C13C2311yescharacteristic
223C4×Q8×C13C2311yescharacteristic
224C4×Q8×C13C2311yescharacteristic
225C4×Q8×C13C2311yescharacteristic
226C4×D4×C13—21no—
227C4×D4×C13—21no—
228C4×D4×C13—21no—
229C4×D4×C13—21no—
230C4×D4×C13C2311yescharacteristic
231C4×D4×C13C2311yescharacteristic
232C4×D4×C13C2311yescharacteristic
233C4×D4×C13C2311yescharacteristic
234C13×#117—21no—
235C13×#117—21no—
236C13×#117C2311yescharacteristic
237C13×#117C2311yescharacteristic
238C2×C42×C13—21no—
239C2×C42×C13—21no—
240C2×C42×C13C2311yescharacteristic
241#88201C2311yescharacteristic
242#88201C2311yescharacteristic
243#88201C2311yescharacteristic
244#88200C2311yescharacteristic
245#88200C2311yescharacteristic
246#88200C2311yescharacteristic
247#88200C2311yescharacteristic
248#88198C2311yescharacteristic
249C2×#6107C2311yescharacteristic
250C2×#6106C2311yescharacteristic
251C2×#6106C2311yescharacteristic
252C2×#6106C2311yescharacteristic
253#88193—21no—
254#88193—21no—
255#88193—21no—
256#88193—21no—
257#88191—21no—
258#88191—21no—
259#88191—21no—
260#88189—21no—
261D4×Dic13C2311yescharacteristic
262D4×Dic13C2311yescharacteristic
263D4×Dic13C2311yescharacteristic
264D4×Dic13C2311yescharacteristic
265C2×#6105C2311yescharacteristic
266C2×#6104C2311yescharacteristic
267C2×#6104C2311yescharacteristic
268C2×#6104C2311yescharacteristic
269#88184—21no—
270#88184—21no—
271#88184—21no—
272#88184C2311yescharacteristic
273#88184C2311yescharacteristic
274#88184C2311yescharacteristic
275#88183—21no—
276#88183—21no—
277#88183—21no—
278#88183—21no—
279#88183—21no—
280C4×C22⋊D13—21no—
281C4×C22⋊D13—21no—
282C4×C22⋊D13—21no—
283C4×C22⋊D13—21no—
284C4×C22⋊D13—21no—
285C4×C22⋊D13D411yescharacteristic
286C4×C22⋊D13D411yescharacteristic
287C4×C22⋊D13C2311yescharacteristic
288C4×C22⋊D13C2311yescharacteristic
289C2×#6103—21no—
290C2×#6103—21no—
291C2×#6103—21no—
292C2×#6103—21no—
293#88180D411yescharacteristic
294C2×C4⋊Dic13—21no—
295#88178—21no—
296#88178—21no—
297#88178C2311yescharacteristic
298C2×#6101—21no—
299C2×#6101—21no—
300C2×C4×Dic13—21no—
301#88165—24no—
302D8×D13—24no—
303C2×D104C2311yescharacteristic
304C2×D104C2311yescharacteristic
305C2×#6095C2311yescharacteristic
306C2×#6095C2311yescharacteristic
307C2×#6094C2311yescharacteristic
308C2×#6094C2311yescharacteristic
309C2×C8×D13C2311yescharacteristic
310C2×C8×D13C2311yescharacteristic
311#88152—21no—
312#88152—21no—
313#88152—21no—
314#88152—21no—
315#88151C2311yescharacteristic
316#88150—21no—
317#88150—21no—
318#88150—21no—
319#88150—21no—
320#88149C2311yescharacteristic
321#88149C2311yescharacteristic
322#88149C2311yescharacteristic
323#88148—21no—
324#88148—21no—
325#88148—21no—
326#88148—21no—
327#88148—21no—
328#88148—21no—
329#88147C2311yescharacteristic
330#88147C2311yescharacteristic
331#88147C2311yescharacteristic
332#88146C2311yescharacteristic
333C4⋊C4×D13C2311yescharacteristic
334C4⋊C4×D13C2311yescharacteristic
335C4⋊C4×D13C2311yescharacteristic
336#88144C2311yescharacteristic
337#88144C2311yescharacteristic
338#88144C2311yescharacteristic
339#88143—21no—
340#88143—21no—
341#88142C2311yescharacteristic
342#88141C2311yescharacteristic
343#88140—21no—
344#88139—21no—
345#88138—21no—
346#88138—21no—
347#88138—21no—
348#88137—21no—
349#88137—21no—
350#88137—21no—
351#88136—21no—
352#88136—21no—
353#88136—21no—
354#88135—21no—
355#88135—21no—
356#88135—21no—
357#88135—21no—
358C22⋊C4×D13—21no—
359C22⋊C4×D13—21no—
360C22⋊C4×D13—21no—
361#88133—21no—
362#88132—21no—
363#88132—21no—
364#88132—21no—
365#88132—21no—
366#88131—21no—
367#88130—21no—
368#88130—21no—
369#88130—21no—
370#88130—21no—
371#88130—21no—
372#88129—21no—
373#88129—21no—
374#88129—21no—
375#88129C2311yescharacteristic
376#88128C2311yescharacteristic
377C4×D52—21no—
378C4×D52—21no—
379C4×D52—21no—
380C4×D52—21no—
381C4×D52—21no—
382C4×D52—21no—
383C4×D52—21no—
384C4×D52—21no—
385C4×D52D411yescharacteristic
386C4×D52C2311yescharacteristic
387C4×D52C2311yescharacteristic
388C4×D52C2311yescharacteristic
389C4×D52C2311yescharacteristic
390#88126—21no—
391#88126—21no—
392#88126—21no—
393#88126—21no—
394#88126—21no—
395#88126—21no—
396#88126—21no—
397#88126—21no—
398#88126—21no—
399#88126D411yescharacteristic
400#88126D411yescharacteristic
401C42×D13C2311yescharacteristic
402C42×D13C2311yescharacteristic
403#88124—21no—
404#88124—21no—
405#88124C2311yescharacteristic
406#88123C2311yescharacteristic
407C4×Dic26—21no—
408C4×Dic26D411yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#107C2311yescharacteristic
412C13×#107C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#103C2311yescharacteristic
418C13×#103C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#97C2311yescharacteristic
424C13×#97C2311yescharacteristic
425C13×#97C2311yescharacteristic
426C13×#97C2311yescharacteristic
427#88075C2311yescharacteristic
428#88075C2311yescharacteristic
429#88075C2311yescharacteristic
430#88075C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436C22⋊#1055C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88060C2311yescharacteristic
444#88060C2311yescharacteristic
445#88060C2311yescharacteristic
446#88060C2311yescharacteristic
447#88058C2311yescharacteristic
448#88058C2311yescharacteristic
449#88057C2311yescharacteristic
450#88057C2311yescharacteristic
451#88056C2311yescharacteristic
452#88056C2311yescharacteristic
453#88055C2311yescharacteristic
454#88055C2311yescharacteristic
455#88054C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459C8×Dic13C2311yescharacteristic
460C8×Dic13C2311yescharacteristic
461#88050C2311yescharacteristic
462#88050C2311yescharacteristic
463#88049C2311yescharacteristic
464#88049C2311yescharacteristic
465#88049C2311yescharacteristic
466#88049C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88048C2311yescharacteristic
472#88048C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477C4⋊#1055C2311yescharacteristic
478C4⋊#1055C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#61454—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C13×#41—22no—
486C13×#41—22no—
487C13×#41—41no—
488C13×#41—41no—
489C2×Q8×C13C2411yescharacteristic
490C2×Q8×C13C2411yescharacteristic
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13C2411yescharacteristic
494C2×D4×C13C2411yescharacteristic
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13—21no—
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13C2×D411yescharacteristic
502C22×C4×C13C2×D411yescharacteristic
503C22×C4×C13C2411yescharacteristic
504C2×C22⋊D13—21no—
505C2×C22⋊D13—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C2×C22⋊D13—21no—
510C2×C22⋊D13—21no—
511C2×C22⋊D13C2×D411yescharacteristic
512C2×C22⋊D13C2×D411yescharacteristic
513C22×Dic13—21no—
514C22×Dic13—21no—
515C22×Dic13—21no—
516C22×Dic13—21no—
517C22×Dic13—21no—
518#6129—22no—
519#6129—41no—
520D4×D13—22no—
521D4×D13—22no—
522D4×D13—22no—
523D4×D13—41no—
524D4×D13—41no—
525D4×D13—41no—
526#6127—42no—
527#6127—82no—
528C2×D52—21no—
529C2×D52—21no—
530C2×D52—21no—
531C2×D52—21no—
532C2×D52—21no—
533C2×D52—44no—
534C2×D52C2×D411yescharacteristic
535C2×D52C2411yescharacteristic
536C2×D52C2411yescharacteristic
537C2×D52C2411yescharacteristic
538C2×C4×D13—21no—
539C2×C4×D13—21no—
540C2×C4×D13—21no—
541C2×C4×D13—21no—
542C2×C4×D13—21no—
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—44no—
548C2×C4×D13—82no—
549C2×C4×D13—82no—
550C2×C4×D13C2×D411yescharacteristic
551C2×C4×D13C2×D411yescharacteristic
552C2×C4×D13C2×D411yescharacteristic
553C2×C4×D13C2×D411yescharacteristic
554C2×C4×D13C2411yescharacteristic
555C2×C4×D13C2411yescharacteristic
556C2×Dic26—21no—
557C2×Dic26—21no—
558C2×Dic26C2×D411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×Q16—22no—
561C13×SD16—22no—
562C13×SD16—22no—
563C13×D8#4114yescomplemented
564C2×C8×C13—22no—
565C2×C8×C13—41no—
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
569C2×C8×C13C2411yescharacteristic
570C13×C4⋊C4—21no—
571C13×C4⋊C4—21no—
572C13×C4⋊C4—21no—
573C13×C4⋊C4—21no—
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C4⋊C4C2411yescharacteristic
577C13×C4⋊C4C2411yescharacteristic
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C42×C13—21no—
585C42×C13—21no—
586C42×C13—21no—
587C42×C13—21no—
588C42×C13—21no—
589C42×C13—21no—
590C42×C13C2×D411yescharacteristic
591C42×C13C2×D411yescharacteristic
592C42×C13C2411yescharacteristic
593C42×C13C2411yescharacteristic
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13C2×D411yescharacteristic
600C22⋊Dic13C2×D411yescharacteristic
601#6107—41no—
602#6106—41no—
603#6106—41no—
604#6106—41no—
605#6105—22no—
606#6104—22no—
607#6104—22no—
608#6104—22no—
609#6103—21no—
610#6103—21no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103—21no—
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633#6103—21no—
634#6103—21no—
635#6103C2×D411yescharacteristic
636#6103C2×D411yescharacteristic
637#6103C2×D411yescharacteristic
638#6103C2×D411yescharacteristic
639C4⋊Dic13—21no—
640C4⋊Dic13—21no—
641C4⋊Dic13—21no—
642C4⋊Dic13—21no—
643C4⋊Dic13—21no—
644C4⋊Dic13C2×D411yescharacteristic
645C4⋊Dic13C2×D411yescharacteristic
646C4⋊Dic13C2411yescharacteristic
647C4⋊Dic13C2411yescharacteristic
648C4⋊Dic13C2411yescharacteristic
649C4⋊Dic13C2411yescharacteristic
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101—21no—
666#6101—21no—
667#6101—21no—
668#6101C2×D411yescharacteristic
669#6101C2×D411yescharacteristic
670#6101C2×D411yescharacteristic
671#6101C2×D411yescharacteristic
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2411yescharacteristic
680C4×Dic13C2411yescharacteristic
681C2×#1055C2411yescharacteristic
682C2×#1055C2411yescharacteristic
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685D104—22no—
686D104—41no—
687#6095—22no—
688#6095—41no—
689#6094—22no—
690#6094—41no—
691C8×D13—22no—
692C8×D13—41no—
693#3481—131no—
694#3475—131no—
695#3401—131no—
696#3389—131no—
697#3376—131no—
698#3370—131no—
699#3347—131no—
700#3344—131no—
701#3337—131no—
702#3319—131no—
703#3314—131no—
704#3310—131no—
705#3307—131no—
706#3297—131no—
707#3296—131no—
708#3280—131no—
709#3267—131no—
710#3264—131no—
711#3183—131no—
712#3181—131no—
713#3180—131no—
714#3115—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3110—131no—
720#2970—131no—
721C4×AGL(1,ℤ/8)—131no—
722#2943D1311yescharacteristic, complemented
723C2×#442—131no—
724C23×C13—21no—
725C23×C13—21no—
726C23×C13C22×D411yescharacteristic
727C22×D13—21no—
728C22×D13—21no—
729C22×D13—21no—
730C22×D13—42no—
731C22×D13—42no—
732C22×D13—42no—
733C22×D13—42no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—81no—
737C22×D13—81no—
738C22×D13—81no—
739C22×D13C22×D411yescharacteristic
740C22×D13C22×D411yescharacteristic
741Q8×C13—21no—
742Q8×C13—21no—
743Q8×C13—21no—
744Q8×C13—21no—
745D4×C13—21no—
746D4×C13—21no—
747D4×C13—42no—
748D4×C13—42no—
749D4×C13C2×#4112yes—
750D4×C13C2×#4112yes—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—41no—
760C2×C4×C13—41no—
761C2×C4×C13—42no—
762C2×C4×C13—42no—
763C2×C4×C13—42no—
764C2×C4×C13—42no—
765C2×C4×C13—42no—
766C2×C4×C13—81no—
767C2×C4×C13C22×D411yescharacteristic
768C2×C4×C13C22×D411yescharacteristic
769C2×C4×C13C22×D411yescharacteristic
770C2×C4×C13C22×D411yescharacteristic
771C2×C4×C13C22×D411yescharacteristic
772C2×C4×C13C2511yescharacteristic
773C22⋊D13—22no—
774C22⋊D13—41no—
775C22⋊D13—42no—
776C22⋊D13—42no—
777C22⋊D13—42no—
778C22⋊D13—42no—
779C22⋊D13—81no—
780C22⋊D13—81no—
781C22⋊D13—81no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—42no—
788C2×Dic13—42no—
789C2×Dic13—81no—
790C2×Dic13—81no—
791C2×Dic13—81no—
792C2×Dic13C22×D411yescharacteristic
793C2×Dic13C22×D411yescharacteristic
794C2×Dic13C22×D411yescharacteristic
795C2×Dic13C22×D411yescharacteristic
796C2×Dic13C22×D411yescharacteristic
797C2×Dic13C22×D411yescharacteristic
798D52—22no—
799D52—21no—
800D52—21no—
801D52—21no—
802D52—21no—
803D52—21no—
804D52—21no—
805D52—42no—
806D52—42no—
807D52—42no—
808D52—81no—
809D52—81no—
810C4×D13—22no—
811C4×D13—21no—
812C4×D13—21no—
813C4×D13—21no—
814C4×D13—21no—
815C4×D13—41no—
816C4×D13—41no—
817C4×D13—41no—
818C4×D13—42no—
819C4×D13—42no—
820C4×D13—42no—
821C4×D13—42no—
822C4×D13—42no—
823C4×D13—81no—
824C4×D13—81no—
825C4×D13—81no—
826C4×D13—81no—
827Dic26—21no—
828Dic26—21no—
829Dic26—41no—
830Dic26—81no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13C2×#4112yes—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055—21no—
840C2×AGL(1,ℤ/8)—131no—
841C2×#135C2×D1311yescharacteristic
842C22×D8—131no—
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554—131no—
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—131no—
865#546—261no—
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41C2×D1311yescharacteristic, complemented
882C4×#41C2×D1311yescharacteristic, complemented
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—261no—
887C2×#117—261no—
888#501—131no—
889#501—131no—
890#499—131no—
891#497—131no—
892#496—131no—
893#495—131no—
894#491—131no—
895#490—131no—
896#489—131no—
897#489—131no—
898#488—131no—
899#488—131no—
900#485—131no—
901#485—131no—
902#484—131no—
903#484—131no—
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#482—131no—
909#482—131no—
910#480—131no—
911#480—131no—
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#475—131no—
921#474—131no—
922#474—131no—
923#474—131no—
924#470—131no—
925#469—131no—
926#468—131no—
927#468—131no—
928#467—131no—
929#467—131no—
930#466—131no—
931#466—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463—131no—
944#461—131no—
945#461—131no—
946#460—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#450—131no—
951#450—131no—
952#450—131no—
953#450—131no—
954#449—131no—
955#449—131no—
956#449—131no—
957#449—131no—
958#447—131no—
959#447—131no—
960#446—131no—
961#446—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#442—131no—
969#442—131no—
970#442—131no—
971#442C2×D1311yescharacteristic
972#442C2×D1311yescharacteristic
973#441—131no—
974#441C2×D1311yescharacteristic, complemented
975#441C2×D1311yescharacteristic, complemented
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440C2×D1311yescharacteristic, complemented
983#440C2×D1311yescharacteristic, complemented
984#440C2×D1311yescharacteristic, complemented
985#440C2×D1311yescharacteristic, complemented
986C4×SD16—131no—
987C4×SD16—131no—
988C4×D8—131no—
989C4×D8—131no—
990#435—131no—
991#435—131no—
992#435—131no—
993#435—131no—
994C8×D4—131no—
995C8×D4—131no—
996#432—131no—
997#432—131no—
998#432—131no—
999#428—131no—
1000#427C2×D1311yescharacteristic, complemented
1001C2×#106—131no—
1002#418—131no—
1003#417—131no—
1004#416C2×D1311yescharacteristic, complemented
1005#416C2×D1311yescharacteristic, complemented
1006C2×#102—131no—
1007C2×#102—131no—
1008C4×M16—131no—
1009C2×#97—131no—
1010C2×#97C2×D1311yescharacteristic, complemented
1011C22×C13—21no—
1012C22×C13—22no—
1013C22×C13—22no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—41no—
1017C22×C13—41no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13C23×D411yescharacteristic
1021C2×D13—21no—
1022C2×D13—21no—
1023C2×D13—21no—
1024C2×D13—21no—
1025C2×D13—21no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—84no—
1036C2×D13—84no—
1037C2×D13—84no—
1038C2×D13#57512yes—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—21no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13—41no—
1050C4×C13C22×#4111yescharacteristic
1051C4×C13#58511yescharacteristic
1052Dic13—21no—
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—21no—
1056Dic13—21no—
1057Dic13—21no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—261no—
1066C2×#41C22×D1311yescharacteristic
1067C2×#41C22×D1311yescharacteristic
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—261no—
1072C23×C4—261no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—264no—
1076#135—24no—
1077C2×Q16—131no—
1078C2×Q16C22×D1311yescharacteristic
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16C22×D1311yescharacteristic
1086C2×SD16C22×D1311yescharacteristic
1087C2×D8—131no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—131no—
1092C2×D8—264no—
1093C2×D8C22×D1311yescharacteristic
1094C2×M16—131no—
1095C2×M16—131no—
1096C22×C8—131no—
1097C22×C8—131no—
1098C22×C8C22×D1311yescharacteristic
1099C22×C8C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8—131no—
1103#127—131no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—131no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—261no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—131no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124—261no—
1130#123—261no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—131no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—131no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8—261no—
1160C22⋊Q8—261no—
1161C22⋊Q8—261no—
1162#121—131no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121—261no—
1178#120—261no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—261no—
1189C4×Q8C22×D1311yescharacteristic
1190C4×Q8C22×D1311yescharacteristic
1191C4×Q8C22×D1311yescharacteristic
1192C4×Q8C22×D1311yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—131no—
1211C4×D4—131no—
1212C4×D4—131no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4C22×D1311yescharacteristic
1231C4×D4C22×D1311yescharacteristic
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—21no—
1235#117—21no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—131no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117C22×D1311yescharacteristic
1251#117C22×D1311yescharacteristic
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—131no—
1254C2×C4⋊C4—131no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4—261no—
1257C2×C4⋊C4—261no—
1258C2×C22⋊C4—261no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—21no—
1266C2×C42—21no—
1267C2×C42—131no—
1268C2×C42—131no—
1269C2×C42—261no—
1270C2×C42C22×D1311yescharacteristic
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107C22×D1311yescharacteristic
1278#107C22×D1311yescharacteristic
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106C22×D1311yescharacteristic
1286#106C22×D1311yescharacteristic
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8—131no—
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103C22×D1311yescharacteristic
1302#103C22×D1311yescharacteristic
1303#103C22×D1311yescharacteristic
1304#103C22×D1311yescharacteristic
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102—131no—
1320#102—131no—
1321#102C22×D1311yescharacteristic
1322#102C22×D1311yescharacteristic
1323#102C22×D1311yescharacteristic
1324#102C22×D1311yescharacteristic
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8—131no—
1330C22⋊C8—131no—
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335#97C22×D1311yescharacteristic
1336#97C22×D1311yescharacteristic
1337#97C22×D1311yescharacteristic
1338#97C22×D1311yescharacteristic
1339C4×C8—131no—
1340C4×C8—131no—
1341C2×C13—42no—
1342C2×C13—42no—
1343C2×C13—41no—
1344C2×C13D4×#4111yescharacteristic
1345C2×C13C2×#57511yescharacteristic
1346C2×C13#358511yescharacteristic
1347D13—22no—
1348D13—41no—
1349D13—81no—
1350D13—81no—
1351D13—81no—
1352C24—261no—
1353C24—261no—
1354C24—261no—
1355#41—22no—
1356#41—22no—
1357#41—41no—
1358#41—41no—
1359#41—262no—
1360#41—522no—
1361#41—521no—
1362#41—1042no—
1363C2×Q8—131no—
1364C2×Q8—131no—
1365C2×Q8—261no—
1366C2×Q8—261no—
1367C2×Q8C23×D1311yescharacteristic
1368C2×Q8C23×D1311yescharacteristic
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—131no—
1372C2×D4—131no—
1373C2×D4—131no—
1374C2×D4—131no—
1375C2×D4—131no—
1376C2×D4—131no—
1377C2×D4—261no—
1378C2×D4—261no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—262no—
1384C2×D4—262no—
1385C2×D4—262no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—261no—
1392C2×D4—524no—
1393C2×D4—521no—
1394C2×D4—521no—
1395C2×D4—521no—
1396C2×D4C23×D1311yescharacteristic
1397C2×D4C23×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—131no—
1405C22×C4—131no—
1406C22×C4—131no—
1407C22×C4—131no—
1408C22×C4—131no—
1409C22×C4—131no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—524no—
1425C22×C4—1042no—
1426C22×C4—1042no—
1427C22×C4D4×D1311yescharacteristic
1428C22×C4D4×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—22no—
1431Q16—521no—
1432SD16—22no—
1433SD16—22no—
1434SD16—262no—
1435SD16—262no—
1436SD16—521no—
1437SD16—521no—
1438SD16—521no—
1439SD16—521no—
1440D8—262no—
1441D8—262no—
1442D8—262no—
1443D8—262no—
1444D8—521no—
1445D8#612714yescomplemented
1446M16—262no—
1447M16—521no—
1448C2×C8—22no—
1449C2×C8—41no—
1450C2×C8—131no—
1451C2×C8—131no—
1452C2×C8—131no—
1453C2×C8—131no—
1454C2×C8—262no—
1455C2×C8—521no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—131no—
1472C4⋊C4—131no—
1473C4⋊C4—131no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4—261no—
1495C4⋊C4—261no—
1496C4⋊C4—261no—
1497C4⋊C4C23×D1311yescharacteristic
1498C4⋊C4C23×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—131no—
1508C22⋊C4—131no—
1509C22⋊C4—131no—
1510C22⋊C4—131no—
1511C22⋊C4—131no—
1512C22⋊C4—131no—
1513C22⋊C4—261no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4—261no—
1543C22⋊C4—261no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—131no—
1551C42—131no—
1552C42—131no—
1553C42—131no—
1554C42—131no—
1555C42—131no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42D4×D1311yescharacteristic
1560C42D4×D1311yescharacteristic
1561C42C23×D1311yescharacteristic
1562C42C23×D1311yescharacteristic
1563C13#6145411yescharacteristic, complemented, Sylow
1564C23—21no—
1565C23—21no—
1566C23—131no—
1567C23—131no—
1568C23—261no—
1569C23—261no—
1570C23—261no—
1571C23—522no—
1572C23—522no—
1573C23—522no—
1574C23—522no—
1575C23—522no—
1576C23—522no—
1577C23—1041no—
1578C23—1041no—
1579C23—1041no—
1580C23C2×D4×D1311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—261no—
1586Q8—261no—
1587Q8—521no—
1588Q8—1041no—
1589Q8—1041no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—42no—
1594D4—262no—
1595D4—262no—
1596D4—261no—
1597D4—261no—
1598D4—261no—
1599D4—261no—
1600D4—261no—
1601D4—261no—
1602D4—522no—
1603D4—522no—
1604D4—522no—
1605D4—521no—
1606D4—522no—
1607D4—522no—
1608D4—522no—
1609D4—522no—
1610D4—1041no—
1611D4—1041no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4C2×#612712yes—
1616D4C2×#612712yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—131no—
1634C2×C4—131no—
1635C2×C4—131no—
1636C2×C4—131no—
1637C2×C4—131no—
1638C2×C4—131no—
1639C2×C4—262no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—521no—
1650C2×C4—521no—
1651C2×C4—521no—
1652C2×C4—522no—
1653C2×C4—522no—
1654C2×C4—522no—
1655C2×C4—522no—
1656C2×C4—522no—
1657C2×C4—522no—
1658C2×C4—522no—
1659C2×C4—1041no—
1660C2×C4—1041no—
1661C2×C4—1041no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4C2×D4×D1311yescharacteristic
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—261no—
1676C8—261no—
1677C8—261no—
1678C8—261no—
1679C8C2×#612712yes—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—22no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—132no—
1690C22—261no—
1691C22—261no—
1692C22—261no—
1693C22—261no—
1694C22—261no—
1695C22—521no—
1696C22—521no—
1697C22—521no—
1698C22—521no—
1699C22—521no—
1700C22—521no—
1701C22—521no—
1702C22—521no—
1703C22—521no—
1704C22—1044no—
1705C22—1044no—
1706C22—1044no—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—261no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—261no—
1724C4—261no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C22×#612711yescharacteristic
1731C4#1171964811yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—42no—
1735C2—262no—
1736C2—521no—
1737C2—1041no—
1738C2—1041no—
1739C2—1041no—
1740C2D4×#612711yescharacteristic
1741C2D13×#57511yescharacteristic
1742C2#1312961311yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#2943C2
socleC22×C13C23×D4
hypercenter#2943D13
hypocenterC13#61454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #13128446C2semidirect
2. #13128398C2semidirect
3. #13127903C2semidirect
4. #13127795C2semidirect
5. #13127668C2semidirect
6. #13127590C2semidirect
7. #13127332C2semidirect
8. #13127296C2semidirect
9. #13127216C2semidirect
10. #13126988C2semidirect
11. #13126922C2semidirect
12. #13126862C2semidirect
13. #13126808C2semidirect
14. #13126687C2semidirect
15. #13126672C2semidirect
16. #13126515C2semidirect
17. #13126361C2semidirect
18. #13126318C2semidirect
19. #13125568C2semidirect
20. #13125543C2semidirect
21. #13125534C2semidirect
22. #13124987C2semidirect
23. #13124978C2semidirect
24. #13124978C2semidirect
25. #13124949C2semidirect
26. #13124945C2semidirect
27. #13124933C2semidirect
28. #13123847C2semidirect
29. #13123647C2semidirect
30. D13×#442C2semidirect
31. C13×#2943C2semidirect
33. C4×C13×#41C22semidirect
34. C4×C13×#41C22semidirect
36. #11719534C22semidirect
37. #11719534C22semidirect
38. #11719529C22semidirect
41. #11719290C22semidirect
44. #11719285C22semidirect
45. #11719285C22semidirect
47. #11719283C22semidirect
48. #11719273C22semidirect
58. C4×D4×D13C22semidirect
59. C4×D4×D13C22semidirect
60. #11719248C22semidirect
62. #11719244C22semidirect
64. C4×#6129C22semidirect
65. #11719237C22semidirect
68. #11719235C22semidirect
69. #11719234C22semidirect
75. #11719184C22semidirect
76. #11719182C22semidirect
82. C13×#441C22semidirect
83. C13×#441C22semidirect
84. C13×#440C22semidirect
85. C13×#440C22semidirect
86. C13×#440C22semidirect
87. C13×#440C22semidirect
88. C13×#427C22semidirect
89. C13×#416C22semidirect
90. C13×#416C22semidirect
91. C2×C13×#97C22semidirect
92. #11718900C22semidirect
94. #11718899C22semidirect
95. #11718899C22semidirect
96. #11718852C22semidirect
97. #11718851C22semidirect
98. #11718850C22semidirect
99. #11718849C22semidirect
100. #11718834C22semidirect
102. #11718830C22semidirect
103. #11718830C22semidirect
105. #11718826C22semidirect
106. #11718826C22semidirect
107. #11718823C22semidirect
110. #11718776C22semidirect
111. #11718776C22semidirect
112. #11718775C22semidirect
113. #11718775C22semidirect
114. #11718772C22semidirect
115. #11718772C22semidirect
116. C8×C22⋊D13C22semidirect
117. C8×C22⋊D13C22semidirect
118. #11718691C22semidirect
119. #11718689C22semidirect
120. #11718688C22semidirect
121. #11718687C22semidirect
122. #11718687C22semidirect
123. #11718687C22semidirect
124. #11718683C22semidirect
125. #11718681C22semidirect
126. #11718679C22semidirect
130. #11718675C22semidirect
131. #11718675C22semidirect
132. #11718670C22semidirect
133. #11718668C22semidirect
134. #11718664C22semidirect
135. #11718664C22semidirect
136. #11718664C22semidirect
137. #11718657C22semidirect
138. #11718587C22semidirect
139. #11718552C22semidirect
140. #11718552C22semidirect
141. #11718551C22semidirect
142. #11718546C22semidirect
143. #11718545C22semidirect
145. #11718543C22semidirect
146. #11718538C22semidirect
147. #11718530C22semidirect
150. #11718522C22semidirect
151. D13×#106C22semidirect
152. #11718519C22semidirect
153. #11718517C22semidirect
154. #11718513C22semidirect
155. #11718480C22semidirect
156. #11718480C22semidirect
157. #11718479C22semidirect
158. #11718475C22semidirect
159. #11718474C22semidirect
160. #11718473C22semidirect
161. #11718473C22semidirect
162. #11718470C22semidirect
164. #11718466C22semidirect
165. #11718466C22semidirect
166. #11718461C22semidirect
167. #11718461C22semidirect
168. #11718459C22semidirect
169. #11718458C22semidirect
170. #11718456C22semidirect
172. #11718446C22semidirect
177. #11718432C22semidirect
178. #11718431C22semidirect
180. D13×#102C22semidirect
181. #11718427C22semidirect
182. #11718424C22semidirect
183. #11718424C22semidirect
184. #11718420C22semidirect
185. #11718419C22semidirect
186. #11718417C22semidirect
187. #11718375C22semidirect
188. #11718374C22semidirect
190. #11718372C22semidirect
191. #11718372C22semidirect
192. #11718371C22semidirect
193. #11718371C22semidirect
194. #11718368C22semidirect
197. #11718366C22semidirect
198. #11718366C22semidirect
199. D13×#97C22semidirect
200. #11718363C22semidirect
201. #11718362C22semidirect
202. #11718362C22semidirect
563. C13×D8#41semidirect
722. #2943D13semidirect
881. C4×#41C2×D13semidirect
882. C4×#41C2×D13semidirect
974. #441C2×D13semidirect
975. #441C2×D13semidirect
982. #440C2×D13semidirect
983. #440C2×D13semidirect
984. #440C2×D13semidirect
985. #440C2×D13semidirect
1000. #427C2×D13semidirect
1004. #416C2×D13semidirect
1005. #416C2×D13semidirect
1010. C2×#97C2×D13semidirect
1445. D8#6127semidirect
1563. C13#61454semidirect

Maximal subgroups

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

subgroupindex
#131284462
#131283982
#131279032
#131277952
#131276682
#131275902
#131273322
#131272962
#131272162
#131269882
#131269222
#131268622
#131268082
#131266872
#131266722
#131265152
#131263612
#131263182
#131255682
#131255432
#131255342
#131249872
#131249782
#131249492
#131249452
#131249332
#131238472
#131236472
D13×#4422
C13×#29432
#6145413