Finite Group Databasebeta

← #16740493

Subgroups — #16740493

Order 3328.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128570C211yesmaximal, characteristic, complemented
2#13128466C211yesmaximal, characteristic, complemented
3#13127074C211yesmaximal, characteristic, complemented
4#13127072C211yesmaximal, characteristic, complemented
5#13127043C211yesmaximal, characteristic, complemented
6#13127037C211yesmaximal, characteristic, complemented
7#13126995C211yesmaximal, characteristic, complemented
8#13126982C211yesmaximal, characteristic, complemented
9#13126980C211yesmaximal, characteristic, complemented
10#13126979C211yesmaximal, characteristic, complemented
11#13126970C211yesmaximal, characteristic, complemented
12#13126796C211yesmaximal, characteristic, complemented
13#13126790C211yesmaximal, characteristic, complemented
14#13126693C211yesmaximal, characteristic, complemented
15#13126687C211yesmaximal, characteristic, complemented
16#13126646C211yesmaximal, characteristic, complemented
17#13126644C211yesmaximal, characteristic, complemented
18#13125187C211yesmaximal, characteristic, complemented
19#13124789C211yesmaximal, characteristic, complemented
20#13124754C211yesmaximal, characteristic, complemented
21#13124660C211yesmaximal, characteristic, complemented
22#13124479C211yesmaximal, characteristic, complemented
23#13124450C211yesmaximal, characteristic, complemented
24#13124337C211yesmaximal, characteristic, complemented
25#13124101C211yesmaximal, characteristic, complemented
26D13×#447C211yesmaximal, characteristic, complemented
27#13123685C211yesmaximal, characteristic, complemented
28#13123559C211yesmaximal, characteristic, complemented
29#13123358C211yesmaximal, characteristic, complemented
30D13×#418C211yesmaximal, characteristic, complemented
31C13×#3319C211yesmaximal, characteristic, complemented
32C2×#88256C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#555C2211yescharacteristic, complemented
35C13×#546C2211yescharacteristic, complemented
36#11719534C2211yescharacteristic, complemented
37D4×C22⋊D13C2211yescharacteristic, complemented
38C2×#88168C2211yescharacteristic, complemented
39C2×D8×D13C2211yescharacteristic
40C2×D8×D13C2211yescharacteristic, complemented
41C2×M16×D13C2211yescharacteristic, complemented
42C2×#88155C2211yescharacteristic, complemented
43#11719434C2211yescharacteristic, complemented
44#11719431C2211yescharacteristic, complemented
45#11719384—21no—
46#11719381—21no—
47#11719381C2211yescharacteristic, complemented
48#11719379C2211yescharacteristic
49#11719374—21no—
50#11719373—21no—
51#11719359—21no—
52#11719358—21no—
53#11719335C2211yescharacteristic, complemented
54#11719332C2211yescharacteristic
55#11719320—21no—
56#11719319C2211yescharacteristic, complemented
57#11719316C2211yescharacteristic, complemented
58#11719315—21no—
59#11719314—21no—
60#11719314C2211yescharacteristic, complemented
61#11719312C2211yescharacteristic
62#11719312C2211yescharacteristic, complemented
63#11719310—21no—
64D13×#121C2211yescharacteristic, complemented
65#11719295—21no—
66D13×#120—21no—
67#11719270C2211yescharacteristic, complemented
68#11719263C2211yescharacteristic, complemented
69D4×D52C2211yescharacteristic, complemented
70D4×D52C2211yescharacteristic, complemented
71#11719252C2211yescharacteristic
72#11719250C2211yescharacteristic
73#11719250C2211yescharacteristic, complemented
74#11719237C2211yescharacteristic, complemented
75#11719235C2211yescharacteristic, complemented
76#11719233—21no—
77#11719232—21no—
78#11719228C2211yescharacteristic, complemented
79D13×#117C2211yescharacteristic, complemented
80#11719195—21no—
81C2×#88136—21no—
82C13×#489C2211yescharacteristic, complemented
83C13×#485C2211yescharacteristic, complemented
84C13×#482C2211yescharacteristic, complemented
85C13×#474C2211yescharacteristic, complemented
86C13×#468C2211yescharacteristic, complemented
87C13×#466C2211yescharacteristic, complemented
88C13×#463C2211yescharacteristic, complemented
89C13×#449C2211yescharacteristic, complemented
90C13×#447C2211yescharacteristic, complemented
91C13×#442C2211yescharacteristic, complemented
92C13×#435C2211yescharacteristic, complemented
93C13×#418C2211yescharacteristic, complemented
94C13×#416C2211yescharacteristic, complemented
95#11718899C2211yescharacteristic, complemented
96#11718893C2211yescharacteristic, complemented
97#11718878C2211yescharacteristic, complemented
98#11718876C2211yescharacteristic, complemented
99#11718833C2211yescharacteristic, complemented
100#11718832C2211yescharacteristic, complemented
101#11718826C2211yescharacteristic, complemented
102#11718818C2211yescharacteristic, complemented
103#11718817C2211yescharacteristic, complemented
104#11718817C2211yescharacteristic, complemented
105#11718817C2211yescharacteristic, complemented
106#11718813C2211yescharacteristic, complemented
107#11718811C2211yescharacteristic, complemented
108#11718796C2211yescharacteristic, complemented
109#11718792C2211yescharacteristic, complemented
110#11718789C2211yescharacteristic, complemented
111#11718776C2211yescharacteristic, complemented
112C2×#88061C2211yescharacteristic, complemented
113C8×C22⋊D13C2211yescharacteristic, complemented
114#11718749C2211yescharacteristic, complemented
115#11718745C2211yescharacteristic, complemented
116#11718718C2211yescharacteristic, complemented
117#11718717C2211yescharacteristic, complemented
118#11718710C2211yescharacteristic, complemented
119#11718706C2211yescharacteristic, complemented
120#11718700C2211yescharacteristic, complemented
121#11718700C2211yescharacteristic, complemented
122#11718700C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718697C2211yescharacteristic, complemented
125#11718694C2211yescharacteristic, complemented
126#11718676C2211yescharacteristic, complemented
127C4×#6104C2211yescharacteristic, complemented
128C4×#6104C2211yescharacteristic, complemented
129#11718673C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718664C2211yescharacteristic, complemented
133#11718662C2211yescharacteristic, complemented
134#11718662C2211yescharacteristic, complemented
135#11718552C2211yescharacteristic, complemented
136#11718551C2211yescharacteristic, complemented
137#11718544C2211yescharacteristic, complemented
138#11718544C2211yescharacteristic, complemented
139#11718543C2211yescharacteristic, complemented
140#11718543C2211yescharacteristic, complemented
141#11718542C2211yescharacteristic, complemented
142#11718541C2211yescharacteristic, complemented
143#11718530C2211yescharacteristic, complemented
144#11718527C2211yescharacteristic, complemented
145#11718524C2211yescharacteristic, complemented
146#11718521C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718504C2211yescharacteristic, complemented
149#11718500C2211yescharacteristic, complemented
150#11718495C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718472C2211yescharacteristic, complemented
153#11718470C2211yescharacteristic, complemented
154#11718468C2211yescharacteristic, complemented
155#11718466C2211yescharacteristic, complemented
156#11718465C2211yescharacteristic, complemented
157#11718465C2211yescharacteristic, complemented
158#11718465C2211yescharacteristic, complemented
159#11718464C2211yescharacteristic, complemented
160#11718464C2211yescharacteristic, complemented
161#11718461C2211yescharacteristic, complemented
162#11718456C2211yescharacteristic, complemented
163#11718447C2211yescharacteristic, complemented
164#11718443C2211yescharacteristic, complemented
165#11718443C2211yescharacteristic, complemented
166#11718440C2211yescharacteristic, complemented
167#11718438C2211yescharacteristic, complemented
168#11718436C2211yescharacteristic, complemented
169#11718434C2211yescharacteristic, complemented
170#11718434C2211yescharacteristic, complemented
171#11718434C2211yescharacteristic, complemented
172#11718431C2211yescharacteristic
173#11718431C2211yescharacteristic
174#11718431C2211yescharacteristic, complemented
175#11718431C2211yescharacteristic, complemented
176#11718431C2211yescharacteristic, complemented
177#11718431C2211yescharacteristic, complemented
178D13×#102C2211yescharacteristic
179D13×#102C2211yescharacteristic, complemented
180D13×#102C2211yescharacteristic, complemented
181D13×#102C2211yescharacteristic, complemented
182D13×#102C2211yescharacteristic, complemented
183D13×#102C2211yescharacteristic, complemented
184D13×#102C2211yescharacteristic, complemented
185#11718427C2211yescharacteristic, complemented
186#11718425C2211yescharacteristic, complemented
187#11718422C2211yescharacteristic, complemented
188#11718421C2211yescharacteristic, complemented
189#11718417C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718396C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718393C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718389C2211yescharacteristic, complemented
197#11718388C2211yescharacteristic, complemented
198D13×C22⋊C8C2211yescharacteristic, complemented
199#11718374C2211yescharacteristic, complemented
200#11718372C2211yescharacteristic, complemented
201#11718369C2211yescharacteristic, complemented
202#11718367C2211yescharacteristic, complemented
203C24×D13—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C22×C22⋊D13—21no—
207C22×C22⋊D13—21no—
208#88256—24no—
209#88256—42no—
210C2×#6131—21no—
211C2×#6131C2311yescharacteristic
212C2×#6131C2311yescharacteristic
213C2×#6129—21no—
214C2×D4×D13—24no—
215C2×D4×D13—21no—
216C2×D4×D13—21no—
217C2×D4×D13—21no—
218C2×D4×D13—21no—
219C2×D4×D13—21no—
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—42no—
223C2×D4×D13C2311yescharacteristic
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C2×#6127—21no—
230C2×#6127C2311yescharacteristic
231C22×D52—21no—
232C22×D52—21no—
233C22×D52C2311yescharacteristic
234C22×D52C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C2×C13×SD16C2311yescharacteristic, complemented
237C2×C13×D8C2311yescharacteristic
238C2×C13×D8C2311yescharacteristic
239C2×C13×M16C2311yescharacteristic
240C22×C8×C13C2311yescharacteristic, complemented
241C13×C4⋊Q8C2311yescharacteristic, complemented
242C13×#124—21no—
243C13×#124—21no—
244C13×#124C2311yescharacteristic
245C13×#123—21no—
246C13×C22⋊Q8C2311yescharacteristic
247C13×#121—21no—
248C13×#121—21no—
249C13×#121C2311yescharacteristic
250C13×#121C2311yescharacteristic
251C13×#121C2311yescharacteristic, complemented
252C13×#120—21no—
253C4×D4×C13C2311yescharacteristic
254C4×D4×C13C2311yescharacteristic
255C4×D4×C13C2311yescharacteristic, complemented
256C13×#117—21no—
257C13×#117C2311yescharacteristic
258C13×#117C2311yescharacteristic, complemented
259C2×C13×C22⋊C4—21no—
260#88207—21no—
261#88201C2311yescharacteristic
262#88200—21no—
263#88200—21no—
264#88200C2311yescharacteristic
265#88198—21no—
266C2×#6106C2311yescharacteristic, complemented
267#88194—21no—
268#88194—21no—
269#88194C2311yescharacteristic
270#88193—21no—
271#88193—21no—
272#88193—21no—
273#88193—21no—
274#88193D411yescharacteristic
275#88192—21no—
276#88192C2311yescharacteristic
277#88192C2311yescharacteristic
278#88192C2311yescharacteristic, complemented
279#88191—21no—
280#88191—21no—
281#88191—21no—
282#88191—21no—
283#88191—21no—
284#88191D411yescharacteristic
285#88189—21no—
286#88189—21no—
287D4×Dic13C2311yescharacteristic
288D4×Dic13C2311yescharacteristic, complemented
289C2×#6104C2311yescharacteristic
290C2×#6104C2311yescharacteristic
291C2×#6104C2311yescharacteristic
292C2×#6104C2311yescharacteristic
293C2×#6104C2311yescharacteristic, complemented
294#88184—21no—
295#88184C2311yescharacteristic
296#88184C2311yescharacteristic
297#88184C2311yescharacteristic
298#88184C2311yescharacteristic, complemented
299#88183—21no—
300#88183—21no—
301C4×C22⋊D13—21no—
302C4×C22⋊D13—21no—
303C4×C22⋊D13—21no—
304C4×C22⋊D13C2311yescharacteristic
305C4×C22⋊D13C2311yescharacteristic
306C2×#6103—21no—
307C2×#6103—21no—
308C2×#6103—21no—
309#88180C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic, complemented
311C2×#6099C2311yescharacteristic
312C2×#6099C2311yescharacteristic, complemented
313#88168—42no—
314D8×D13—24no—
315D8×D13—42no—
316M16×D13—42no—
317C2×D104C2311yescharacteristic
318C2×D104C2311yescharacteristic
319C2×D104C2311yescharacteristic, complemented
320#88155—42no—
321C2×#6094C2311yescharacteristic
322C2×#6094C2311yescharacteristic
323C2×#6094C2311yescharacteristic, complemented
324C2×C8×D13C2311yescharacteristic
325C2×C8×D13C2311yescharacteristic
326C2×C8×D13C2311yescharacteristic
327C2×C8×D13C2311yescharacteristic
328C2×C8×D13C2311yescharacteristic, complemented
329#88152—21no—
330#88150—21no—
331#88150D411yescharacteristic
332#88149—21no—
333#88149—21no—
334#88149C2311yescharacteristic
335#88149C2311yescharacteristic
336#88149C2311yescharacteristic
337#88149C2311yescharacteristic, complemented
338#88148—21no—
339#88148—21no—
340#88148—21no—
341#88148—21no—
342#88148D411yescharacteristic
343#88147—21no—
344#88147C2311yescharacteristic
345#88147C2311yescharacteristic, complemented
346#88146C2311yescharacteristic
347#88146C2311yescharacteristic
348#88146C2311yescharacteristic
349#88146C2311yescharacteristic, complemented
350C4⋊C4×D13C2311yescharacteristic
351C4⋊C4×D13C2311yescharacteristic
352C4⋊C4×D13C2311yescharacteristic
353C4⋊C4×D13C2311yescharacteristic, complemented
354#88144C2311yescharacteristic, complemented
355#88143—21no—
356#88142C2311yescharacteristic, complemented
357#88139—21no—
358#88139—21no—
359#88139—21no—
360#88138—21no—
361#88138—21no—
362#88138—21no—
363#88138—21no—
364#88138—21no—
365#88138—21no—
366#88138—21no—
367#88138—21no—
368#88138D411yescharacteristic
369#88137—21no—
370#88137—21no—
371#88137—21no—
372#88137—21no—
373#88137D411yescharacteristic
374#88136—21no—
375#88136—21no—
376#88136—21no—
377#88136—21no—
378#88136—21no—
379#88136—21no—
380#88136—21no—
381#88136—21no—
382#88136—21no—
383#88136—21no—
384#88136—21no—
385#88136—21no—
386#88136D411yescharacteristic
387#88135—21no—
388#88135—21no—
389#88135—21no—
390#88135—21no—
391#88135—21no—
392#88135—21no—
393#88135—21no—
394C22⋊C4×D13—21no—
395C22⋊C4×D13—21no—
396C22⋊C4×D13—21no—
397C22⋊C4×D13—21no—
398C22⋊C4×D13—21no—
399C22⋊C4×D13—21no—
400#88133—21no—
401#88133—21no—
402#88132—21no—
403#88132D411yescharacteristic
404#88131—21no—
405#88130—21no—
406#88129—21no—
407#88128C2311yescharacteristic
408C4×D52—21no—
409C4×D52—21no—
410C4×D52C2311yescharacteristic
411C4×D52C2311yescharacteristic
412C4×D52C2311yescharacteristic, complemented
413#88126—21no—
414#88126—21no—
415#88126C2311yescharacteristic
416C42×D13—21no—
417#88124C2311yescharacteristic, complemented
418C4×Dic26—21no—
419C13×#107C2311yescharacteristic, complemented
420C13×#107C2311yescharacteristic, complemented
421C13×#106C2311yescharacteristic, complemented
422C13×C4⋊C8C2311yescharacteristic, complemented
423C13×#103C2311yescharacteristic, complemented
424C13×#103C2311yescharacteristic, complemented
425C13×#103C2311yescharacteristic, complemented
426C13×#102C2311yescharacteristic
427C13×#102C2311yescharacteristic
428C13×#102C2311yescharacteristic
429C13×#102C2311yescharacteristic
430C13×#102C2311yescharacteristic
431C13×#102C2311yescharacteristic
432C13×#102C2311yescharacteristic, complemented
433C13×C22⋊C8C2311yescharacteristic
434C13×C22⋊C8C2311yescharacteristic, complemented
435C13×#97C2311yescharacteristic, complemented
436#88075C2311yescharacteristic, complemented
437#88075C2311yescharacteristic, complemented
438#88075C2311yescharacteristic, complemented
439#88072C2311yescharacteristic
440#88072C2311yescharacteristic
441#88072C2311yescharacteristic
442#88072C2311yescharacteristic
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic, complemented
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic, complemented
448#88061C2311yescharacteristic
449#88061C2311yescharacteristic
450#88061C2311yescharacteristic
451#88061C2311yescharacteristic
452#88061C2311yescharacteristic
453#88061C2311yescharacteristic
454#88061C2311yescharacteristic, complemented
455#88061C2311yescharacteristic, complemented
456#88061C2311yescharacteristic, complemented
457#88061C2311yescharacteristic, complemented
458#88060C2311yescharacteristic
459#88060C2311yescharacteristic
460#88060C2311yescharacteristic, complemented
461#88060C2311yescharacteristic, complemented
462#88058C2311yescharacteristic, complemented
463#88057C2311yescharacteristic, complemented
464#88057C2311yescharacteristic, complemented
465#88055C2311yescharacteristic, complemented
466#88054C2311yescharacteristic, complemented
467#88054C2311yescharacteristic, complemented
468C8×Dic13C2311yescharacteristic, complemented
469#88049C2311yescharacteristic
470#88049C2311yescharacteristic
471#88049C2311yescharacteristic
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88049C2311yescharacteristic
475#88049C2311yescharacteristic, complemented
476#88049C2311yescharacteristic, complemented
477#88049C2311yescharacteristic, complemented
478#88049C2311yescharacteristic, complemented
479#88048C2311yescharacteristic, complemented
480#88048C2311yescharacteristic, complemented
481#88048C2311yescharacteristic, complemented
482#88047C2311yescharacteristic, complemented
483#88047C2311yescharacteristic, complemented
484#88047C2311yescharacteristic, complemented
485C4⋊#1055C2311yescharacteristic, complemented
486C4×#1055C2311yescharacteristic, complemented
487#61183—131nomaximal, Sylow
488C24×C13—21no—
489C23×D13—21no—
490C23×D13—21no—
491C23×D13—21no—
492C23×D13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—44no—
498C23×D13—82no—
499C23×D13—82no—
500C23×D13C2×D411yescharacteristic
501C13×#41—22no—
502C13×#41—41no—
503C2×Q8×C13—21no—
504C2×Q8×C13C2411yescharacteristic
505C2×D4×C13—22no—
506C2×D4×C13—21no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—41no—
512C2×D4×C13C2×D411yescharacteristic
513C2×D4×C13C2411yescharacteristic
514C2×D4×C13C2411yescharacteristic
515C2×D4×C13C2411yescharacteristic
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13—21no—
519C22×C4×C13C2411yescharacteristic
520C22×C4×C13C2411yescharacteristic
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—44no—
537C2×C22⋊D13—82no—
538C2×C22⋊D13C2×D411yescharacteristic
539C2×C22⋊D13C2×D411yescharacteristic
540C2×C22⋊D13C2×D411yescharacteristic
541C2×C22⋊D13C2×D411yescharacteristic
542C22×Dic13—21no—
543C22×Dic13—21no—
544C22×Dic13—21no—
545C22×Dic13C2×D411yescharacteristic
546#6131—22no—
547#6131—22no—
548#6131—22no—
549#6131—41no—
550#6131—82no—
551#6129—82no—
552D4×D13—22no—
553D4×D13—22no—
554D4×D13—22no—
555D4×D13—22no—
556D4×D13—22no—
557D4×D13—22no—
558D4×D13—22no—
559D4×D13—22no—
560D4×D13—41no—
561D4×D13—41no—
562D4×D13—41no—
563D4×D13—44no—
564D4×D13—44no—
565D4×D13—44no—
566D4×D13—44no—
567D4×D13—82no—
568D4×D13—82no—
569D4×D13—82no—
570D4×D13#4114yescomplemented
571#6127—22no—
572#6127—22no—
573#6127—44no—
574C2×D52—22no—
575C2×D52—22no—
576C2×D52—21no—
577C2×D52—21no—
578C2×D52—21no—
579C2×D52—21no—
580C2×D52—21no—
581C2×D52—21no—
582C2×D52—21no—
583C2×D52—21no—
584C2×D52—21no—
585C2×D52—21no—
586C2×D52—41no—
587C2×D52—41no—
588C2×D52—44no—
589C2×D52—82no—
590C2×D52C2×D411yescharacteristic
591C2×D52C2×D411yescharacteristic
592C2×D52C2411yescharacteristic
593C2×D52C2411yescharacteristic
594C2×D52C2411yescharacteristic
595C2×D52C2411yescharacteristic
596C2×C4×D13—22no—
597C2×C4×D13—22no—
598C2×C4×D13—21no—
599C2×C4×D13—21no—
600C2×C4×D13—21no—
601C2×C4×D13—21no—
602C2×C4×D13—21no—
603C2×C4×D13—21no—
604C2×C4×D13—21no—
605C2×C4×D13—21no—
606C2×C4×D13—21no—
607C2×C4×D13—21no—
608C2×C4×D13C2×D411yescharacteristic
609C2×C4×D13C2×D411yescharacteristic
610C2×C4×D13C2411yescharacteristic
611C2×C4×D13C2411yescharacteristic
612C2×C4×D13C2411yescharacteristic
613C2×Dic26—21no—
614C2×Dic26C2×D411yescharacteristic
615C13×SD16—41no—
616C13×D8—22no—
617C13×D8—41no—
618C13×M16—41no—
619C2×C8×C13—41no—
620C2×C8×C13C2411yescharacteristic
621C2×C8×C13C2411yescharacteristic
622C2×C8×C13C2411yescharacteristic
623C2×C8×C13C2411yescharacteristic
624C13×C4⋊C4—21no—
625C13×C4⋊C4—21no—
626C13×C4⋊C4C2×D411yescharacteristic
627C13×C4⋊C4C2411yescharacteristic
628C13×C4⋊C4C2411yescharacteristic
629C13×C4⋊C4C2411yescharacteristic
630C13×C4⋊C4C2411yescharacteristic
631C13×C22⋊C4—21no—
632C13×C22⋊C4—21no—
633C13×C22⋊C4—21no—
634C13×C22⋊C4—21no—
635C13×C22⋊C4—21no—
636C13×C22⋊C4—21no—
637C13×C22⋊C4—21no—
638C13×C22⋊C4—21no—
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4C2×D411yescharacteristic
642C13×C22⋊C4C2×D411yescharacteristic
643C42×C13—21no—
644C42×C13—21no—
645C42×C13C2411yescharacteristic
646C22⋊Dic13—21no—
647C22⋊Dic13—21no—
648C22⋊Dic13—21no—
649C22⋊Dic13—21no—
650C22⋊Dic13—21no—
651C22⋊Dic13—21no—
652C22⋊Dic13C2×D411yescharacteristic
653C22⋊Dic13C2×D411yescharacteristic
654#6106—41no—
655#6104—22no—
656#6104—22no—
657#6104—41no—
658#6104—41no—
659#6104—41no—
660#6103—21no—
661#6103—21no—
662#6103—21no—
663#6103—21no—
664#6103—21no—
665#6103—21no—
666#6103—21no—
667#6103—21no—
668#6103—21no—
669#6103—21no—
670#6103—21no—
671#6103—21no—
672#6103—21no—
673#6103—21no—
674#6103—21no—
675#6103—21no—
676#6103—21no—
677#6103—21no—
678#6103—21no—
679#6103C2×D411yescharacteristic
680#6103C2×D411yescharacteristic
681#6103C2×D411yescharacteristic
682#6103C2×D411yescharacteristic
683#6103C2×D411yescharacteristic
684#6103C2×D411yescharacteristic
685C4⋊Dic13—21no—
686C4⋊Dic13—21no—
687C4⋊Dic13C2×D411yescharacteristic
688C4⋊Dic13C2411yescharacteristic
689C4⋊Dic13C2411yescharacteristic
690C4⋊Dic13C2411yescharacteristic
691C4⋊Dic13C2411yescharacteristic
692#6101—21no—
693#6101—21no—
694#6101—21no—
695#6101—21no—
696#6101—21no—
697#6101—21no—
698#6101—21no—
699#6101—21no—
700#6101—21no—
701#6101C2×D411yescharacteristic
702#6101C2×D411yescharacteristic
703#6101C2×D411yescharacteristic
704#6101C2×D411yescharacteristic
705C4×Dic13—21no—
706C4×Dic13—21no—
707C4×Dic13—21no—
708C4×Dic13—21no—
709C4×Dic13—21no—
710C4×Dic13C2411yescharacteristic
711#6099—41no—
712#6099—41no—
713C2×#1055C2411yescharacteristic
714C2×#1055C2411yescharacteristic
715C2×#1055C2411yescharacteristic
716C2×#1055C2411yescharacteristic
717D104—22no—
718D104—41no—
719D104—41no—
720#6094—22no—
721#6094—22no—
722#6094—41no—
723C8×D13—22no—
724C8×D13—22no—
725C8×D13—41no—
726C8×D13—41no—
727C8×D13—41no—
728#3494—131no—
729#3484—131no—
730#3325—131no—
731#3325—131no—
732#3322—131no—
733#3322—131no—
734#3319—131no—
735#3319D1311yescharacteristic, complemented
736#3318—131no—
737#3318—131no—
738#3318—131no—
739#3318—131no—
740#3306—131no—
741#3306—131no—
742#3297—131no—
743#3297—131no—
744#3294—131no—
745#3294—131no—
746#3136—131no—
747#3096—131no—
748#3091—131no—
749#3081—131no—
750#3058—131no—
751#3055—131no—
752#3041—131no—
753#3008—131no—
754C2×#447—131no—
755#2948—131no—
756#2933—131no—
757#2897—131no—
758C2×#418—131no—
759C23×C13—21no—
760C23×C13—21no—
761C23×C13—21no—
762C23×C13—42no—
763C23×C13—42no—
764C23×C13—81no—
765C23×C13C22×D411yescharacteristic
766C23×C13C22×D411yescharacteristic
767C22×D13—21no—
768C22×D13—22no—
769C22×D13—22no—
770C22×D13—24no—
771C22×D13—21no—
772C22×D13—21no—
773C22×D13—21no—
774C22×D13—41no—
775C22×D13—42no—
776C22×D13—42no—
777C22×D13—42no—
778C22×D13—42no—
779C22×D13—42no—
780C22×D13—42no—
781C22×D13—42no—
782C22×D13—42no—
783C22×D13—42no—
784C22×D13—42no—
785C22×D13—81no—
786C22×D13—81no—
787C22×D13—81no—
788C22×D13—81no—
789C22×D13—81no—
790C22×D13—81no—
791C22×D13—81no—
792C22×D13—81no—
793C22×D13—81no—
794C22×D13—81no—
795C22×D13—81no—
796C22×D13—81no—
797C22×D13—81no—
798C22×D13—816no—
799C22×D13C22×D411yescharacteristic
800C22×D13C22×D411yescharacteristic
801C22×D13C22×D411yescharacteristic
802Q8×C13—21no—
803Q8×C13—21no—
804Q8×C13—81no—
805D4×C13—21no—
806D4×C13—21no—
807D4×C13—21no—
808D4×C13—21no—
809D4×C13—21no—
810D4×C13—41no—
811D4×C13—42no—
812D4×C13—42no—
813D4×C13—81no—
814D4×C13—81no—
815D4×C13—81no—
816D4×C13C2×#4112yes—
817C2×C4×C13—21no—
818C2×C4×C13—21no—
819C2×C4×C13—21no—
820C2×C4×C13—21no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
824C2×C4×C13—21no—
825C2×C4×C13—21no—
826C2×C4×C13—42no—
827C2×C4×C13—81no—
828C2×C4×C13—81no—
829C2×C4×C13C22×D411yescharacteristic
830C2×C4×C13C22×D411yescharacteristic
831C2×C4×C13C22×D411yescharacteristic
832C2×C4×C13C22×D411yescharacteristic
833C2×C4×C13C2511yescharacteristic
834C22⋊D13—22no—
835C22⋊D13—22no—
836C22⋊D13—22no—
837C22⋊D13—24no—
838C22⋊D13—41no—
839C22⋊D13—42no—
840C22⋊D13—42no—
841C22⋊D13—42no—
842C22⋊D13—42no—
843C22⋊D13—42no—
844C22⋊D13—42no—
845C22⋊D13—42no—
846C22⋊D13—81no—
847C22⋊D13—81no—
848C22⋊D13—81no—
849C22⋊D13—81no—
850C22⋊D13—81no—
851C22⋊D13—81no—
852C22⋊D13—81no—
853C2×Dic13—22no—
854C2×Dic13—21no—
855C2×Dic13—21no—
856C2×Dic13—21no—
857C2×Dic13—21no—
858C2×Dic13—81no—
859C2×Dic13—81no—
860C2×Dic13—81no—
861C2×Dic13C22×D411yescharacteristic
862C2×Dic13C22×D411yescharacteristic
863C2×Dic13C22×D411yescharacteristic
864C2×Dic13C22×D411yescharacteristic
865C2×Dic13C22×D411yescharacteristic
866D52—22no—
867D52—22no—
868D52—21no—
869D52—21no—
870D52—21no—
871D52—21no—
872D52—21no—
873D52—21no—
874D52—21no—
875D52—42no—
876D52—42no—
877D52—42no—
878D52—42no—
879D52—42no—
880D52—42no—
881D52—81no—
882D52—81no—
883D52—81no—
884D52—81no—
885D52C2×#4112yes—
886C4×D13—22no—
887C4×D13—21no—
888C4×D13—21no—
889C4×D13—21no—
890C4×D13—21no—
891C4×D13—22no—
892C4×D13—42no—
893C4×D13—42no—
894C4×D13—42no—
895C4×D13—81no—
896C4×D13—81no—
897C4×D13—81no—
898C4×D13—81no—
899C4×D13—81no—
900C4×D13—81no—
901C4×D13—81no—
902C4×D13C2×#4112yes—
903C4×D13H(5,𝔽2)12yes—
904Dic26—22no—
905Dic26—81no—
906C8×C13—21no—
907C8×C13—21no—
908C8×C13—21no—
909C8×C13—21no—
910#1055—21no—
911#1055—21no—
912#1055—21no—
913#1055—21no—
914C2×H(5,𝔽2)—131no—
915C23×D4—131no—
916C2×AGL(1,ℤ/8)—131no—
917C22×D8—131no—
918C22×D8—131no—
919C2×#131—131no—
920C22×M16—131no—
921#555—131no—
922#555C2×D1311yescharacteristic, complemented
923#553—131no—
924#553—131no—
925#553—131no—
926#553—131no—
927#551—261no—
928#551—261no—
929#547—131no—
930#547—131no—
931#546—131no—
932#546—131no—
933#546—131no—
934#546—261no—
935#546—261no—
936#546—261no—
937#546—261no—
938#546C2×D1311yescharacteristic, complemented
939D42—131no—
940D42—131no—
941D42—131no—
942D42—131no—
943D42—261no—
944D42—261no—
945#544—131no—
946#542—261no—
947#540—261no—
948#535—131no—
949#535—131no—
950#535—131no—
951#534—261no—
952#534—261no—
953#532—261no—
954#529—261no—
955#525—131no—
956#525—131no—
957C2×#121—131no—
958C2×#120—261no—
959C2×#120—261no—
960#520—131no—
961#518—131no—
962#518—131no—
963C2×#117—131no—
964#490—131no—
965#490—131no—
966#489—131no—
967#489C2×D1311yescharacteristic, complemented
968#488—131no—
969#488—131no—
970#486—131no—
971#486—131no—
972#485—131no—
973#485C2×D1311yescharacteristic, complemented
974#484—131no—
975#483—131no—
976#482—131no—
977#482—131no—
978#482—131no—
979#482—131no—
980#482—131no—
981#482C2×D1311yescharacteristic, complemented
982#481—131no—
983#481—131no—
984#481—131no—
985#480—131no—
986#480—131no—
987#480—131no—
988#478—131no—
989#478—131no—
990#478—131no—
991#478—131no—
992#476—131no—
993#476—131no—
994#474—131no—
995#474C2×D1311yescharacteristic, complemented
996#469—131no—
997#469—131no—
998#469—131no—
999#469—131no—
1000#469—131no—
1001#469—131no—
1002#468—131no—
1003#468C2×D1311yescharacteristic, complemented
1004#466—131no—
1005#466—131no—
1006#466—131no—
1007#466—131no—
1008#466—131no—
1009#466C2×D1311yescharacteristic, complemented
1010#465—131no—
1011#465—131no—
1012#463—131no—
1013#463—131no—
1014#463—131no—
1015#463C2×D1311yescharacteristic, complemented
1016#459—131no—
1017#459—131no—
1018#459—131no—
1019#459—131no—
1020#449—131no—
1021#449—131no—
1022#449—131no—
1023#449C2×D1311yescharacteristic, complemented
1024#447—131no—
1025#447—131no—
1026#447—131no—
1027#447—131no—
1028#447—131no—
1029#447—131no—
1030#447—131no—
1031#447—131no—
1032#447—131no—
1033#447—131no—
1034#447—131no—
1035#447C2×D1311yescharacteristic, complemented
1036#442—131no—
1037#442—131no—
1038#442—131no—
1039#442C2×D1311yescharacteristic, complemented
1040C4×D8—131no—
1041C4×D8—131no—
1042C4×D8—131no—
1043C4×D8—131no—
1044#436—131no—
1045#436—131no—
1046#435—131no—
1047#435—131no—
1048#435—131no—
1049#435C2×D1311yescharacteristic, complemented
1050C8×D4—131no—
1051C8×D4—131no—
1052#428—131no—
1053#427—131no—
1054#427—131no—
1055#424—131no—
1056#418—131no—
1057#418—131no—
1058#418—131no—
1059#418—131no—
1060#418—131no—
1061#418—131no—
1062#418—131no—
1063#418—131no—
1064#418—131no—
1065#418—131no—
1066#418C2×D1311yescharacteristic, complemented
1067#417—131no—
1068#417—131no—
1069#417—131no—
1070#416—131no—
1071#416—131no—
1072#416—131no—
1073#416C2×D1311yescharacteristic, complemented
1074C2×#102—131no—
1075C2×#102—131no—
1076C2×#102—131no—
1077C2×#102—131no—
1078C2×#102—131no—
1079C2×#102—131no—
1080C2×#102—131no—
1081C2×#102—131no—
1082#408—131no—
1083C2×C22⋊C8—131no—
1084#405—131no—
1085C22×C13—21no—
1086C22×C13—21no—
1087C22×C13—21no—
1088C22×C13—21no—
1089C22×C13—22no—
1090C22×C13—21no—
1091C22×C13—21no—
1092C22×C13—41no—
1093C22×C13—41no—
1094C22×C13—41no—
1095C22×C13—41no—
1096C22×C13—41no—
1097C22×C13—41no—
1098C22×C13—41no—
1099C22×C13—41no—
1100C22×C13—84no—
1101C22×C13C23×D411yescharacteristic
1102C2×D13—21no—
1103C2×D13—21no—
1104C2×D13—21no—
1105C2×D13—21no—
1106C2×D13—21no—
1107C2×D13—21no—
1108C2×D13—22no—
1109C2×D13—21no—
1110C2×D13—44no—
1111C2×D13—41no—
1112C2×D13—41no—
1113C2×D13—41no—
1114C2×D13—41no—
1115C2×D13—41no—
1116C2×D13—41no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—84no—
1123C2×D13—84no—
1124C2×D13—84no—
1125C2×D13—84no—
1126C2×D13—84no—
1127C2×D13—162no—
1128C2×D13—162no—
1129C2×D13—162no—
1130C2×D13#54612yes—
1131C2×D13#57612yes—
1132C4×C13—21no—
1133C4×C13—21no—
1134C4×C13—21no—
1135C4×C13—21no—
1136C4×C13—41no—
1137C4×C13—41no—
1138C4×C13—41no—
1139C4×C13—41no—
1140C4×C13—41no—
1141C4×C13C22×#4111yescharacteristic
1142C4×C13C2×H(5,𝔽2)11yescharacteristic
1143Dic13—21no—
1144Dic13—21no—
1145Dic13—21no—
1146Dic13—21no—
1147Dic13—41no—
1148Dic13—41no—
1149Dic13—41no—
1150Dic13—41no—
1151Dic13#54612yes—
1152C25—261no—
1153H(5,𝔽2)—264no—
1154H(5,𝔽2)—522no—
1155C2×#41—131no—
1156C2×#41—131no—
1157C2×#41—131no—
1158C2×#41—261no—
1159C2×#41—261no—
1160C2×#41—261no—
1161C2×#41C22×D1311yescharacteristic
1162C22×D4—131no—
1163C22×D4—131no—
1164C22×D4—131no—
1165C22×D4—131no—
1166C22×D4—131no—
1167C22×D4—131no—
1168C22×D4—131no—
1169C22×D4—131no—
1170C22×D4—261no—
1171C22×D4—261no—
1172C22×D4—261no—
1173C22×D4—261no—
1174C22×D4—261no—
1175C22×D4—264no—
1176C22×D4—261no—
1177C22×D4—261no—
1178C22×D4—261no—
1179C22×D4—261no—
1180C22×D4—261no—
1181C22×D4—261no—
1182C22×D4—522no—
1183C22×D4C22×D1311yescharacteristic
1184C23×C4—131no—
1185AGL(1,ℤ/8)—522no—
1186C2×SD16—131no—
1187C2×SD16C22×D1311yescharacteristic, complemented
1188C2×D8—131no—
1189C2×D8—131no—
1190C2×D8—131no—
1191C2×D8—131no—
1192C2×D8—131no—
1193C2×D8—131no—
1194C2×D8—131no—
1195C2×D8—131no—
1196C2×D8—264no—
1197C2×D8—522no—
1198C2×D8C22×D1311yescharacteristic
1199C2×D8C22×D1311yescharacteristic
1200#131—522no—
1201C2×M16—131no—
1202C2×M16—131no—
1203C2×M16—131no—
1204C2×M16—131no—
1205C2×M16—131no—
1206C2×M16—522no—
1207C2×M16C22×D1311yescharacteristic
1208C22×C8—131no—
1209C22×C8—131no—
1210C22×C8—131no—
1211C22×C8—131no—
1212C22×C8—131no—
1213C22×C8C22×D1311yescharacteristic, complemented
1214C4⋊Q8—131no—
1215C4⋊Q8—261no—
1216C4⋊Q8C22×D1311yescharacteristic, complemented
1217#127—131no—
1218#127—131no—
1219#127—261no—
1220#127—261no—
1221#126—261no—
1222#126—261no—
1223#126—261no—
1224#126—261no—
1225#125—131no—
1226#125—131no—
1227#125—261no—
1228#124—21no—
1229#124—21no—
1230#124—131no—
1231#124—261no—
1232#124—261no—
1233#124—261no—
1234#124—261no—
1235#124C22×D1311yescharacteristic
1236#123—21no—
1237#123—131no—
1238#123—131no—
1239#123—261no—
1240#123—261no—
1241#123—261no—
1242#123—261no—
1243#123—261no—
1244#123—261no—
1245#123—261no—
1246#123—261no—
1247#123—261no—
1248#123—261no—
1249#123—261no—
1250#123—261no—
1251C22⋊Q8—131no—
1252C22⋊Q8—131no—
1253C22⋊Q8—131no—
1254C22⋊Q8—261no—
1255C22⋊Q8—261no—
1256C22⋊Q8—261no—
1257C22⋊Q8—261no—
1258C22⋊Q8C22×D1311yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—131no—
1262#121—131no—
1263#121—131no—
1264#121—131no—
1265#121—131no—
1266#121—131no—
1267#121—131no—
1268#121—131no—
1269#121—131no—
1270#121—131no—
1271#121—131no—
1272#121—131no—
1273#121—131no—
1274#121—261no—
1275#121—261no—
1276#121—261no—
1277#121—261no—
1278#121—261no—
1279#121—261no—
1280#121—261no—
1281#121—261no—
1282#121—261no—
1283#121—261no—
1284#121—261no—
1285#121—261no—
1286#121—261no—
1287#121—261no—
1288#121—261no—
1289#121—261no—
1290#121C22×D1311yescharacteristic
1291#121C22×D1311yescharacteristic
1292#121C22×D1311yescharacteristic, complemented
1293#120—21no—
1294#120—131no—
1295#120—131no—
1296#120—261no—
1297#120—261no—
1298#120—261no—
1299#120—261no—
1300#120—261no—
1301#120—261no—
1302#120—261no—
1303#120—261no—
1304#120—261no—
1305#120—261no—
1306#120—261no—
1307#120—261no—
1308#120—261no—
1309#120—261no—
1310#120—261no—
1311#120—261no—
1312#120—261no—
1313#120—261no—
1314C4×Q8—261no—
1315C4×D4—131no—
1316C4×D4—131no—
1317C4×D4—131no—
1318C4×D4—131no—
1319C4×D4—131no—
1320C4×D4—131no—
1321C4×D4—131no—
1322C4×D4—131no—
1323C4×D4—131no—
1324C4×D4—261no—
1325C4×D4—261no—
1326C4×D4—261no—
1327C4×D4—261no—
1328C4×D4—261no—
1329C4×D4—261no—
1330C4×D4—261no—
1331C4×D4—261no—
1332C4×D4—261no—
1333C4×D4—261no—
1334C4×D4—261no—
1335C4×D4—261no—
1336C4×D4—261no—
1337C4×D4C22×D1311yescharacteristic
1338C4×D4C22×D1311yescharacteristic
1339C4×D4C22×D1311yescharacteristic, complemented
1340#117—21no—
1341#117—131no—
1342#117—131no—
1343#117—131no—
1344#117—131no—
1345#117—131no—
1346#117—131no—
1347#117—261no—
1348#117—261no—
1349#117—261no—
1350#117C22×D1311yescharacteristic
1351#117C22×D1311yescharacteristic, complemented
1352C2×C4⋊C4—131no—
1353C2×C4⋊C4—131no—
1354C2×C4⋊C4—131no—
1355C2×C4⋊C4—131no—
1356C2×C4⋊C4—131no—
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—261no—
1359C2×C22⋊C4—261no—
1360C2×C22⋊C4—261no—
1361C2×C22⋊C4—261no—
1362C2×C22⋊C4—261no—
1363C2×C22⋊C4—261no—
1364C2×C22⋊C4—261no—
1365C2×C22⋊C4—261no—
1366C2×C22⋊C4—261no—
1367C2×C42—261no—
1368#107—131no—
1369#107—131no—
1370#107—131no—
1371#107—131no—
1372#107C22×D1311yescharacteristic, complemented
1373#107C22×D1311yescharacteristic, complemented
1374#106—131no—
1375#106—131no—
1376#106—131no—
1377#106—131no—
1378#106—131no—
1379#106C22×D1311yescharacteristic, complemented
1380C4⋊C8—131no—
1381C4⋊C8—131no—
1382C4⋊C8—131no—
1383C4⋊C8C22×D1311yescharacteristic, complemented
1384#103—131no—
1385#103—131no—
1386#103—131no—
1387#103C22×D1311yescharacteristic, complemented
1388#103C22×D1311yescharacteristic, complemented
1389#103C22×D1311yescharacteristic, complemented
1390#102—131no—
1391#102—131no—
1392#102—131no—
1393#102—131no—
1394#102—131no—
1395#102—131no—
1396#102—131no—
1397#102—131no—
1398#102—131no—
1399#102—131no—
1400#102—131no—
1401#102—131no—
1402#102—131no—
1403#102—131no—
1404#102—131no—
1405#102—131no—
1406#102—131no—
1407#102—131no—
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102—131no—
1415#102—131no—
1416#102—131no—
1417#102C22×D1311yescharacteristic
1418#102C22×D1311yescharacteristic
1419#102C22×D1311yescharacteristic
1420#102C22×D1311yescharacteristic
1421#102C22×D1311yescharacteristic
1422#102C22×D1311yescharacteristic
1423#102C22×D1311yescharacteristic, complemented
1424C22⋊C8—131no—
1425C22⋊C8—131no—
1426C22⋊C8—131no—
1427C22⋊C8—131no—
1428C22⋊C8—131no—
1429C22⋊C8—131no—
1430C22⋊C8C22×D1311yescharacteristic
1431C22⋊C8C22×D1311yescharacteristic, complemented
1432#97—131no—
1433#97C22×D1311yescharacteristic, complemented
1434C4×C8—131no—
1435C4×C8—131no—
1436C2×C13—41no—
1437C2×C13—42no—
1438C2×C13—41no—
1439C2×C13—81no—
1440C2×C13—81no—
1441C2×C13C2×#54611yescharacteristic
1442C2×C13C2×#57611yescharacteristic
1443C2×C13#358511yescharacteristic
1444D13—22no—
1445D13—22no—
1446D13—41no—
1447D13—42no—
1448D13—81no—
1449D13—81no—
1450D13—81no—
1451C24—21no—
1452C24—131no—
1453C24—261no—
1454C24—261no—
1455C24—261no—
1456C24—261no—
1457C24—261no—
1458C24—261no—
1459C24—261no—
1460C24—261no—
1461C24—524no—
1462C24—1042no—
1463C24—1042no—
1464#41—22no—
1465#41—41no—
1466#41—262no—
1467#41—262no—
1468#41—262no—
1469#41—262no—
1470#41—262no—
1471#41—524no—
1472#41—521no—
1473#41—1042no—
1474#41—1042no—
1475C2×Q8—21no—
1476C2×Q8—131no—
1477C2×Q8—261no—
1478C2×Q8C23×D1311yescharacteristic
1479C2×D4—22no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—41no—
1486C2×D4—134no—
1487C2×D4—131no—
1488C2×D4—131no—
1489C2×D4—131no—
1490C2×D4—131no—
1491C2×D4—131no—
1492C2×D4—131no—
1493C2×D4—131no—
1494C2×D4—131no—
1495C2×D4—131no—
1496C2×D4—131no—
1497C2×D4—262no—
1498C2×D4—262no—
1499C2×D4—261no—
1500C2×D4—261no—
1501C2×D4—261no—
1502C2×D4—261no—
1503C2×D4—261no—
1504C2×D4—261no—
1505C2×D4—262no—
1506C2×D4—262no—
1507C2×D4—262no—
1508C2×D4—262no—
1509C2×D4—262no—
1510C2×D4—261no—
1511C2×D4—261no—
1512C2×D4—261no—
1513C2×D4—261no—
1514C2×D4—261no—
1515C2×D4—261no—
1516C2×D4—261no—
1517C2×D4—261no—
1518C2×D4—262no—
1519C2×D4—262no—
1520C2×D4—262no—
1521C2×D4—261no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—261no—
1525C2×D4—261no—
1526C2×D4—261no—
1527C2×D4—261no—
1528C2×D4—261no—
1529C2×D4—261no—
1530C2×D4—261no—
1531C2×D4—261no—
1532C2×D4—521no—
1533C2×D4—521no—
1534C2×D4—524no—
1535C2×D4—521no—
1536C2×D4—521no—
1537C2×D4—521no—
1538C2×D4—524no—
1539C2×D4—524no—
1540C2×D4—524no—
1541C2×D4—524no—
1542C2×D4—524no—
1543C2×D4—1042no—
1544C2×D4—1042no—
1545C2×D4—1042no—
1546C2×D4—1042no—
1547C2×D4—1042no—
1548C2×D4D4×D1311yescharacteristic
1549C2×D4C23×D1311yescharacteristic
1550C2×D4C23×D1311yescharacteristic
1551C2×D4C23×D1311yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—131no—
1556C22×C4—131no—
1557C22×C4—131no—
1558C22×C4—131no—
1559C22×C4—131no—
1560C22×C4—131no—
1561C22×C4—262no—
1562C22×C4—262no—
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×C4C23×D1311yescharacteristic
1577C22×C4C23×D1311yescharacteristic
1578SD16—41no—
1579SD16—521no—
1580D8—22no—
1581D8—41no—
1582D8—262no—
1583D8—262no—
1584D8—262no—
1585D8—521no—
1586D8—521no—
1587D8—521no—
1588D8—521no—
1589D8—521no—
1590M16—41no—
1591M16—262no—
1592M16—262no—
1593M16—521no—
1594M16—521no—
1595M16—521no—
1596C2×C8—41no—
1597C2×C8—131no—
1598C2×C8—131no—
1599C2×C8—131no—
1600C2×C8—131no—
1601C2×C8—262no—
1602C2×C8—262no—
1603C2×C8—521no—
1604C2×C8—521no—
1605C2×C8—521no—
1606C2×C8C23×D1311yescharacteristic
1607C2×C8C23×D1311yescharacteristic
1608C2×C8C23×D1311yescharacteristic
1609C2×C8C23×D1311yescharacteristic
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—131no—
1613C4⋊C4—131no—
1614C4⋊C4—131no—
1615C4⋊C4—131no—
1616C4⋊C4—131no—
1617C4⋊C4—131no—
1618C4⋊C4—131no—
1619C4⋊C4—131no—
1620C4⋊C4—131no—
1621C4⋊C4—261no—
1622C4⋊C4—261no—
1623C4⋊C4—261no—
1624C4⋊C4—261no—
1625C4⋊C4—261no—
1626C4⋊C4—261no—
1627C4⋊C4—261no—
1628C4⋊C4—261no—
1629C4⋊C4—261no—
1630C4⋊C4—261no—
1631C4⋊C4—261no—
1632C4⋊C4D4×D1311yescharacteristic
1633C4⋊C4C23×D1311yescharacteristic
1634C4⋊C4C23×D1311yescharacteristic
1635C4⋊C4C23×D1311yescharacteristic
1636C4⋊C4C23×D1311yescharacteristic
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—131no—
1648C22⋊C4—131no—
1649C22⋊C4—131no—
1650C22⋊C4—131no—
1651C22⋊C4—131no—
1652C22⋊C4—131no—
1653C22⋊C4—131no—
1654C22⋊C4—131no—
1655C22⋊C4—261no—
1656C22⋊C4—261no—
1657C22⋊C4—261no—
1658C22⋊C4—261no—
1659C22⋊C4—261no—
1660C22⋊C4—261no—
1661C22⋊C4—261no—
1662C22⋊C4—261no—
1663C22⋊C4—261no—
1664C22⋊C4—261no—
1665C22⋊C4—261no—
1666C22⋊C4—261no—
1667C22⋊C4—261no—
1668C22⋊C4—261no—
1669C22⋊C4—261no—
1670C22⋊C4—261no—
1671C22⋊C4—261no—
1672C22⋊C4—261no—
1673C22⋊C4—261no—
1674C22⋊C4—261no—
1675C22⋊C4—261no—
1676C22⋊C4—261no—
1677C22⋊C4—261no—
1678C22⋊C4—261no—
1679C22⋊C4—261no—
1680C22⋊C4D4×D1311yescharacteristic
1681C22⋊C4D4×D1311yescharacteristic
1682C42—21no—
1683C42—21no—
1684C42—131no—
1685C42—261no—
1686C42—261no—
1687C42—261no—
1688C42—261no—
1689C42—261no—
1690C42C23×D1311yescharacteristic
1691C13#6118311yescharacteristic, complemented, Sylow
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—42no—
1696C23—42no—
1697C23—81no—
1698C23—131no—
1699C23—131no—
1700C23—131no—
1701C23—262no—
1702C23—262no—
1703C23—264no—
1704C23—261no—
1705C23—261no—
1706C23—261no—
1707C23—261no—
1708C23—521no—
1709C23—522no—
1710C23—522no—
1711C23—522no—
1712C23—522no—
1713C23—522no—
1714C23—522no—
1715C23—522no—
1716C23—522no—
1717C23—522no—
1718C23—522no—
1719C23—1041no—
1720C23—1041no—
1721C23—1041no—
1722C23—1041no—
1723C23—1041no—
1724C23—1041no—
1725C23—1041no—
1726C23—1041no—
1727C23—1041no—
1728C23—1041no—
1729C23—1041no—
1730C23—1041no—
1731C23—1041no—
1732C23—10416no—
1733C23C2×D4×D1311yescharacteristic
1734C23C2×D4×D1311yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—81no—
1738Q8—262no—
1739Q8—1041no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—42no—
1747D4—42no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—132no—
1752D4—262no—
1753D4—262no—
1754D4—264no—
1755D4—262no—
1756D4—262no—
1757D4—262no—
1758D4—261no—
1759D4—261no—
1760D4—261no—
1761D4—261no—
1762D4—261no—
1763D4—261no—
1764D4—261no—
1765D4—522no—
1766D4—522no—
1767D4—522no—
1768D4—522no—
1769D4—522no—
1770D4—522no—
1771D4—522no—
1772D4—522no—
1773D4—521no—
1774D4—522no—
1775D4—522no—
1776D4—522no—
1777D4—522no—
1778D4—522no—
1779D4—1041no—
1780D4—1041no—
1781D4—1041no—
1782D4—1041no—
1783D4—1041no—
1784D4—1041no—
1785D4—1041no—
1786D4—1041no—
1787D4—1041no—
1788D4—1041no—
1789D4—1041no—
1790D4#41×D1312yes—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—42no—
1801C2×C4—81no—
1802C2×C4—81no—
1803C2×C4—131no—
1804C2×C4—132no—
1805C2×C4—132no—
1806C2×C4—131no—
1807C2×C4—131no—
1808C2×C4—131no—
1809C2×C4—131no—
1810C2×C4—262no—
1811C2×C4—262no—
1812C2×C4—262no—
1813C2×C4—261no—
1814C2×C4—261no—
1815C2×C4—261no—
1816C2×C4—261no—
1817C2×C4—261no—
1818C2×C4—261no—
1819C2×C4—261no—
1820C2×C4—261no—
1821C2×C4—522no—
1822C2×C4—522no—
1823C2×C4—522no—
1824C2×C4—1041no—
1825C2×C4—1041no—
1826C2×C4—1041no—
1827C2×C4—1041no—
1828C2×C4—1041no—
1829C2×C4—1041no—
1830C2×C4—1041no—
1831C2×C4—1041no—
1832C2×C4—1041no—
1833C2×C4—1041no—
1834C2×C4C2×D4×D1311yescharacteristic
1835C2×C4C2×D4×D1311yescharacteristic
1836C2×C4C2×D4×D1311yescharacteristic
1837C2×C4C2×D4×D1311yescharacteristic
1838C2×C4C24×D1311yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—261no—
1844C8—261no—
1845C8—261no—
1846C8—261no—
1847C22—21no—
1848C22—21no—
1849C22—22no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—84no—
1863C22—132no—
1864C22—132no—
1865C22—261no—
1866C22—261no—
1867C22—261no—
1868C22—261no—
1869C22—261no—
1870C22—262no—
1871C22—261no—
1872C22—261no—
1873C22—524no—
1874C22—521no—
1875C22—521no—
1876C22—521no—
1877C22—521no—
1878C22—521no—
1879C22—521no—
1880C22—521no—
1881C22—521no—
1882C22—521no—
1883C22—521no—
1884C22—521no—
1885C22—1044no—
1886C22—1044no—
1887C22—1044no—
1888C22—1044no—
1889C22—1044no—
1890C22—2082no—
1891C22—2082no—
1892C22—2082no—
1893C22C22×D4×D1311yescharacteristic
1894C4—21no—
1895C4—21no—
1896C4—21no—
1897C4—21no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—132no—
1904C4—261no—
1905C4—261no—
1906C4—261no—
1907C4—261no—
1908C4—521no—
1909C4—521no—
1910C4—521no—
1911C4—521no—
1912C4C2×#41×D1311yescharacteristic
1913C4D13×H(5,𝔽2)11yescharacteristic
1914C2—41no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—262no—
1920C2—262no—
1921C2—521no—
1922C2—522no—
1923C2—1041no—
1924C2—1041no—
1925C2—1041no—
1926C2D13×#54611yescharacteristic
1927C2D13×#57611yescharacteristic
1928C2#1312961311yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3319C2
socleC22×C13C23×D4
hypercenter#3319D13
hypocenterC13#61183
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #13128570C2semidirect
2. #13128466C2semidirect
3. #13127074C2semidirect
4. #13127072C2semidirect
5. #13127043C2semidirect
6. #13127037C2semidirect
7. #13126995C2semidirect
8. #13126982C2semidirect
9. #13126980C2semidirect
10. #13126979C2semidirect
11. #13126970C2semidirect
12. #13126796C2semidirect
13. #13126790C2semidirect
14. #13126693C2semidirect
15. #13126687C2semidirect
16. #13126646C2semidirect
17. #13126644C2semidirect
18. #13125187C2semidirect
19. #13124789C2semidirect
20. #13124754C2semidirect
21. #13124660C2semidirect
22. #13124479C2semidirect
23. #13124450C2semidirect
24. #13124337C2semidirect
25. #13124101C2semidirect
26. D13×#447C2semidirect
27. #13123685C2semidirect
28. #13123559C2semidirect
29. #13123358C2semidirect
30. D13×#418C2semidirect
31. C13×#3319C2semidirect
34. C13×#555C22semidirect
35. C13×#546C22semidirect
36. #11719534C22semidirect
37. D4×C22⋊D13C22semidirect
38. C2×#88168C22semidirect
40. C2×D8×D13C22semidirect
41. C2×M16×D13C22semidirect
42. C2×#88155C22semidirect
43. #11719434C22semidirect
44. #11719431C22semidirect
47. #11719381C22semidirect
53. #11719335C22semidirect
56. #11719319C22semidirect
57. #11719316C22semidirect
60. #11719314C22semidirect
62. #11719312C22semidirect
64. D13×#121C22semidirect
67. #11719270C22semidirect
68. #11719263C22semidirect
69. D4×D52C22semidirect
70. D4×D52C22semidirect
73. #11719250C22semidirect
74. #11719237C22semidirect
75. #11719235C22semidirect
78. #11719228C22semidirect
79. D13×#117C22semidirect
82. C13×#489C22semidirect
83. C13×#485C22semidirect
84. C13×#482C22semidirect
85. C13×#474C22semidirect
86. C13×#468C22semidirect
87. C13×#466C22semidirect
88. C13×#463C22semidirect
89. C13×#449C22semidirect
90. C13×#447C22semidirect
91. C13×#442C22semidirect
92. C13×#435C22semidirect
93. C13×#418C22semidirect
94. C13×#416C22semidirect
95. #11718899C22semidirect
96. #11718893C22semidirect
97. #11718878C22semidirect
98. #11718876C22semidirect
99. #11718833C22semidirect
100. #11718832C22semidirect
101. #11718826C22semidirect
102. #11718818C22semidirect
103. #11718817C22semidirect
104. #11718817C22semidirect
105. #11718817C22semidirect
106. #11718813C22semidirect
107. #11718811C22semidirect
108. #11718796C22semidirect
109. #11718792C22semidirect
110. #11718789C22semidirect
111. #11718776C22semidirect
112. C2×#88061C22semidirect
113. C8×C22⋊D13C22semidirect
114. #11718749C22semidirect
115. #11718745C22semidirect
116. #11718718C22semidirect
117. #11718717C22semidirect
118. #11718710C22semidirect
119. #11718706C22semidirect
120. #11718700C22semidirect
121. #11718700C22semidirect
122. #11718700C22semidirect
123. #11718697C22semidirect
124. #11718697C22semidirect
125. #11718694C22semidirect
126. #11718676C22semidirect
127. C4×#6104C22semidirect
128. C4×#6104C22semidirect
129. #11718673C22semidirect
130. #11718670C22semidirect
131. #11718664C22semidirect
132. #11718664C22semidirect
133. #11718662C22semidirect
134. #11718662C22semidirect
135. #11718552C22semidirect
136. #11718551C22semidirect
137. #11718544C22semidirect
138. #11718544C22semidirect
139. #11718543C22semidirect
140. #11718543C22semidirect
141. #11718542C22semidirect
142. #11718541C22semidirect
143. #11718530C22semidirect
144. #11718527C22semidirect
145. #11718524C22semidirect
146. #11718521C22semidirect
147. #11718508C22semidirect
148. #11718504C22semidirect
149. #11718500C22semidirect
150. #11718495C22semidirect
151. #11718480C22semidirect
152. #11718472C22semidirect
153. #11718470C22semidirect
154. #11718468C22semidirect
155. #11718466C22semidirect
156. #11718465C22semidirect
157. #11718465C22semidirect
158. #11718465C22semidirect
159. #11718464C22semidirect
160. #11718464C22semidirect
161. #11718461C22semidirect
162. #11718456C22semidirect
163. #11718447C22semidirect
164. #11718443C22semidirect
165. #11718443C22semidirect
166. #11718440C22semidirect
167. #11718438C22semidirect
168. #11718436C22semidirect
169. #11718434C22semidirect
170. #11718434C22semidirect
171. #11718434C22semidirect
174. #11718431C22semidirect
175. #11718431C22semidirect
176. #11718431C22semidirect
177. #11718431C22semidirect
179. D13×#102C22semidirect
180. D13×#102C22semidirect
181. D13×#102C22semidirect
182. D13×#102C22semidirect
183. D13×#102C22semidirect
184. D13×#102C22semidirect
185. #11718427C22semidirect
186. #11718425C22semidirect
187. #11718422C22semidirect
188. #11718421C22semidirect
189. #11718417C22semidirect
190. #11718417C22semidirect
191. #11718398C22semidirect
192. #11718396C22semidirect
193. #11718393C22semidirect
194. #11718393C22semidirect
195. #11718389C22semidirect
196. #11718389C22semidirect
197. #11718388C22semidirect
198. D13×C22⋊C8C22semidirect
199. #11718374C22semidirect
200. #11718372C22semidirect
201. #11718369C22semidirect
202. #11718367C22semidirect
236. C2×C13×SD16C23semidirect
240. C22×C8×C13C23semidirect
241. C13×C4⋊Q8C23semidirect
251. C13×#121C23semidirect
255. C4×D4×C13C23semidirect
258. C13×#117C23semidirect
266. C2×#6106C23semidirect
278. #88192C23semidirect
288. D4×Dic13C23semidirect
293. C2×#6104C23semidirect
298. #88184C23semidirect
310. C2×C4⋊Dic13C23semidirect
312. C2×#6099C23semidirect
319. C2×D104C23semidirect
323. C2×#6094C23semidirect
328. C2×C8×D13C23semidirect
337. #88149C23semidirect
345. #88147C23semidirect
349. #88146C23semidirect
353. C4⋊C4×D13C23semidirect
354. #88144C23semidirect
356. #88142C23semidirect
412. C4×D52C23semidirect
417. #88124C23semidirect
419. C13×#107C23semidirect
420. C13×#107C23semidirect
421. C13×#106C23semidirect
422. C13×C4⋊C8C23semidirect
423. C13×#103C23semidirect
424. C13×#103C23semidirect
425. C13×#103C23semidirect
432. C13×#102C23semidirect
434. C13×C22⋊C8C23semidirect
435. C13×#97C23semidirect
436. #88075C23semidirect
437. #88075C23semidirect
438. #88075C23semidirect
445. #88072C23semidirect
447. C22⋊#1055C23semidirect
454. #88061C23semidirect
455. #88061C23semidirect
456. #88061C23semidirect
457. #88061C23semidirect
460. #88060C23semidirect
461. #88060C23semidirect
462. #88058C23semidirect
463. #88057C23semidirect
464. #88057C23semidirect
465. #88055C23semidirect
466. #88054C23semidirect
467. #88054C23semidirect
468. C8×Dic13C23semidirect
475. #88049C23semidirect
476. #88049C23semidirect
477. #88049C23semidirect
478. #88049C23semidirect
479. #88048C23semidirect
480. #88048C23semidirect
481. #88048C23semidirect
482. #88047C23semidirect
483. #88047C23semidirect
484. #88047C23semidirect
485. C4⋊#1055C23semidirect
486. C4×#1055C23semidirect
570. D4×D13#41semidirect
735. #3319D13semidirect
922. #555C2×D13semidirect
938. #546C2×D13semidirect
967. #489C2×D13semidirect
973. #485C2×D13semidirect
981. #482C2×D13semidirect
995. #474C2×D13semidirect
1003. #468C2×D13semidirect
1009. #466C2×D13semidirect
1015. #463C2×D13semidirect
1023. #449C2×D13semidirect
1035. #447C2×D13semidirect
1039. #442C2×D13semidirect
1049. #435C2×D13semidirect
1066. #418C2×D13semidirect
1073. #416C2×D13semidirect
1187. C2×SD16C22×D13semidirect
1213. C22×C8C22×D13semidirect
1216. C4⋊Q8C22×D13semidirect
1292. #121C22×D13semidirect
1339. C4×D4C22×D13semidirect
1351. #117C22×D13semidirect
1372. #107C22×D13semidirect
1373. #107C22×D13semidirect
1379. #106C22×D13semidirect
1383. C4⋊C8C22×D13semidirect
1387. #103C22×D13semidirect
1388. #103C22×D13semidirect
1389. #103C22×D13semidirect
1423. #102C22×D13semidirect
1431. C22⋊C8C22×D13semidirect
1433. #97C22×D13semidirect
1691. C13#61183semidirect

Maximal subgroups

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

subgroupindex
#131285702
#131284662
#131270742
#131270722
#131270432
#131270372
#131269952
#131269822
#131269802
#131269792
#131269702
#131267962
#131267902
#131266932
#131266872
#131266462
#131266442
#131251872
#131247892
#131247542
#131246602
#131244792
#131244502
#131243372
#131241012
D13×#4472
#131236852
#131235592
#131233582
D13×#4182
C13×#33192
#6118313