Finite Group Databasebeta

← #16740491

Subgroups — #16740491

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#13128560C211yesmaximal, characteristic, complemented
2#13128466C211yesmaximal, characteristic, complemented
3#13127075C211yesmaximal, characteristic, complemented
4#13127073C211yesmaximal, characteristic, complemented
5#13127044C211yesmaximal, characteristic, complemented
6#13127038C211yesmaximal, characteristic, complemented
7#13126996C211yesmaximal, characteristic, complemented
8#13126991C211yesmaximal, characteristic, complemented
9#13126982C211yesmaximal, characteristic, complemented
10#13126981C211yesmaximal, characteristic, complemented
11#13126979C211yesmaximal, characteristic, complemented
12#13126975C211yesmaximal, characteristic, complemented
13#13126795C211yesmaximal, characteristic, complemented
14#13126692C211yesmaximal, characteristic, complemented
15#13126686C211yesmaximal, characteristic, complemented
16#13126645C211yesmaximal, characteristic, complemented
17#13126643C211yesmaximal, characteristic, complemented
18#13125187C211yesmaximal, characteristic, complemented
19#13124793C211yesmaximal, characteristic, complemented
20#13124750C211yesmaximal, characteristic, complemented
21#13124662C211yesmaximal, characteristic, complemented
22#13124482C211yesmaximal, characteristic, complemented
23#13124448C211yesmaximal, characteristic, complemented
24#13124337C211yesmaximal, characteristic, complemented
25#13124101C211yesmaximal, characteristic, complemented
26D13×#447C211yesmaximal, characteristic, complemented
27#13123685C211yesmaximal, characteristic, complemented
28#13123562C211yesmaximal, characteristic, complemented
29#13123360C211yesmaximal, characteristic, complemented
30C2×#11718431C211yesmaximal, characteristic, complemented
31C13×#3306C211yesmaximal, characteristic, complemented
32C2×#88256C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#547C2211yescharacteristic, complemented
35C13×#546C2211yescharacteristic, complemented
36#11719537—21no—
37#11719534—21no—
38#11719534C2211yescharacteristic, complemented
39D4×C22⋊D13C2211yescharacteristic, complemented
40C2×#88168C2211yescharacteristic, complemented
41C2×D8×D13C2211yescharacteristic
42C2×D8×D13C2211yescharacteristic, complemented
43C2×#88161C2211yescharacteristic, complemented
44C22×#6094C2211yescharacteristic, complemented
45#11719439C2211yescharacteristic, complemented
46#11719434C2211yescharacteristic, complemented
47#11719381C2211yescharacteristic, complemented
48#11719379C2211yescharacteristic
49#11719368—21no—
50#11719364—21no—
51#11719359—21no—
52#11719359—21no—
53#11719358—21no—
54#11719354—21no—
55#11719345—21no—
56#11719342—21no—
57#11719335C2211yescharacteristic, complemented
58#11719332C2211yescharacteristic
59#11719323C2211yescharacteristic, complemented
60#11719321C2211yescharacteristic, complemented
61#11719314—21no—
62#11719314C2211yescharacteristic, complemented
63#11719312C2211yescharacteristic
64#11719312C2211yescharacteristic, complemented
65#11719310—21no—
66D13×#121C2211yescharacteristic, complemented
67#11719295—21no—
68D13×#120—21no—
69#11719270C2211yescharacteristic, complemented
70#11719263C2211yescharacteristic, complemented
71D4×D52C2211yescharacteristic, complemented
72D4×D52C2211yescharacteristic, complemented
73#11719252C2211yescharacteristic
74#11719250C2211yescharacteristic
75#11719250C2211yescharacteristic, complemented
76#11719219C2211yescharacteristic, complemented
77#11719212C2211yescharacteristic, complemented
78#11719209C2211yescharacteristic, complemented
79C2×#88146C2211yescharacteristic, complemented
80#11719195—21no—
81C2×#88136—21no—
82C13×#489C2211yescharacteristic, complemented
83C13×#483C2211yescharacteristic, complemented
84C13×#481C2211yescharacteristic, complemented
85C13×#476C2211yescharacteristic, complemented
86C13×#469C2211yescharacteristic, complemented
87C13×#465C2211yescharacteristic, complemented
88C13×#463C2211yescharacteristic, complemented
89C13×#449C2211yescharacteristic, complemented
90C13×#447C2211yescharacteristic, complemented
91C13×#442C2211yescharacteristic, complemented
92C13×#435C2211yescharacteristic, complemented
93C13×#417C2211yescharacteristic, complemented
94C2×C13×#102C2211yescharacteristic, complemented
95#11718899C2211yescharacteristic, complemented
96#11718894C2211yescharacteristic, complemented
97#11718878C2211yescharacteristic, complemented
98C2×#88072C2211yescharacteristic, complemented
99#11718835C2211yescharacteristic, complemented
100#11718833C2211yescharacteristic, complemented
101#11718826C2211yescharacteristic, complemented
102#11718820C2211yescharacteristic, 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#11718748C2211yescharacteristic, complemented
116#11718718C2211yescharacteristic, complemented
117#11718717C2211yescharacteristic, complemented
118#11718709C2211yescharacteristic, complemented
119#11718705C2211yescharacteristic, complemented
120#11718699C2211yescharacteristic, complemented
121#11718699C2211yescharacteristic, complemented
122#11718699C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718697C2211yescharacteristic, complemented
125#11718696C2211yescharacteristic, complemented
126#11718676C2211yescharacteristic, complemented
127C4×#6104C2211yescharacteristic, complemented
128C4×#6104C2211yescharacteristic, complemented
129D4×#1055C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718628C2211yescharacteristic, complemented
132#11718628C2211yescharacteristic, complemented
133C2×#88049C2211yescharacteristic, complemented
134C2×#88049C2211yescharacteristic, complemented
135#11718532C2211yescharacteristic, complemented
136#11718531C2211yescharacteristic, complemented
137#11718530C2211yescharacteristic, complemented
138#11718527C2211yescharacteristic, complemented
139#11718527C2211yescharacteristic, complemented
140#11718527C2211yescharacteristic, complemented
141#11718526C2211yescharacteristic, complemented
142#11718526C2211yescharacteristic, complemented
143#11718524C2211yescharacteristic, complemented
144#11718522C2211yescharacteristic, complemented
145#11718521C2211yescharacteristic, complemented
146#11718521C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718504C2211yescharacteristic, complemented
149#11718500C2211yescharacteristic, complemented
150#11718499C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718476C2211yescharacteristic, complemented
153#11718476C2211yescharacteristic, complemented
154#11718473C2211yescharacteristic, complemented
155#11718472C2211yescharacteristic, 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#11718440C2211yescharacteristic, complemented
166#11718436C2211yescharacteristic, complemented
167#11718436C2211yescharacteristic, complemented
168#11718435C2211yescharacteristic, 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
178#11718431C2211yescharacteristic, complemented
179#11718431C2211yescharacteristic, complemented
180#11718431C2211yescharacteristic, complemented
181#11718431C2211yescharacteristic, complemented
182D13×#102C2211yescharacteristic
183D13×#102C2211yescharacteristic, complemented
184D13×#102C2211yescharacteristic, complemented
185#11718425C2211yescharacteristic, complemented
186#11718424C2211yescharacteristic, complemented
187#11718421C2211yescharacteristic, complemented
188#11718420C2211yescharacteristic, complemented
189#11718417C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718396C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718393C2211yescharacteristic, complemented
195#11718391C2211yescharacteristic, complemented
196#11718391C2211yescharacteristic, 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×#41—21no—
205C2×C13×#41C2311yescharacteristic
206C22×D4×C13C2311yescharacteristic
207C22×C22⋊D13—21no—
208C22×C22⋊D13—21no—
209#88256—24no—
210#88256—42no—
211C2×#6131C2311yescharacteristic
212C2×#6131C2311yescharacteristic
213C2×D4×D13—24no—
214C2×D4×D13—21no—
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—42no—
222C2×D4×D13C2311yescharacteristic
223C2×D4×D13C2311yescharacteristic
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic
228C2×#6127—21no—
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, complemented
240C22×C8×C13C2311yescharacteristic
241C13×C4⋊Q8C2311yescharacteristic, complemented
242C13×#124C2311yescharacteristic
243C13×#123—21no—
244C13×#123—21no—
245C13×#123—21no—
246C13×C22⋊Q8—21no—
247C13×C22⋊Q8C2311yescharacteristic
248C13×#121—21no—
249C13×#121C2311yescharacteristic
250C13×#121C2311yescharacteristic
251C13×#121C2311yescharacteristic, complemented
252C13×#120—21no—
253C4×D4×C13C2311yescharacteristic
254C4×D4×C13C2311yescharacteristic
255C4×D4×C13C2311yescharacteristic, complemented
256C2×C13×C4⋊C4C2311yescharacteristic
257C2×C13×C4⋊C4C2311yescharacteristic, complemented
258C2×C13×C22⋊C4—21no—
259#88207—21no—
260#88201—21no—
261#88201—21no—
262#88201C2311yescharacteristic
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#88193—21no—
275#88193—21no—
276#88193D411yescharacteristic
277#88192C2311yescharacteristic
278#88192C2311yescharacteristic
279#88192C2311yescharacteristic, complemented
280#88191—21no—
281#88191—21no—
282#88191—21no—
283#88191—21no—
284#88191—21no—
285#88191D411yescharacteristic
286#88190—21no—
287D4×Dic13—21no—
288D4×Dic13C2311yescharacteristic
289D4×Dic13C2311yescharacteristic, complemented
290C2×#6104C2311yescharacteristic
291C2×#6104C2311yescharacteristic
292C2×#6104C2311yescharacteristic
293C2×#6104C2311yescharacteristic
294C2×#6104C2311yescharacteristic, complemented
295#88184—21no—
296#88184—21no—
297#88184C2311yescharacteristic
298#88184C2311yescharacteristic
299#88184C2311yescharacteristic
300#88184C2311yescharacteristic, complemented
301#88183—21no—
302#88183—21no—
303#88183—21no—
304C4×C22⋊D13—21no—
305C4×C22⋊D13—21no—
306C4×C22⋊D13—21no—
307C4×C22⋊D13—21no—
308C4×C22⋊D13—21no—
309C4×C22⋊D13—21no—
310C4×C22⋊D13C2311yescharacteristic
311C4×C22⋊D13C2311yescharacteristic
312C2×#6103—21no—
313C2×#6103—21no—
314C2×#6103—21no—
315C2×#6103—21no—
316#88180C2311yescharacteristic, complemented
317C2×C4⋊Dic13C2311yescharacteristic
318C2×C4×Dic13—21no—
319C22×#1055C2311yescharacteristic
320C22×#1055C2311yescharacteristic, complemented
321#88168—42no—
322D8×D13—24no—
323D8×D13—42no—
324#88161—42no—
325C2×D104C2311yescharacteristic
326C2×D104C2311yescharacteristic
327C2×D104C2311yescharacteristic, complemented
328C2×#6094—42no—
329C2×#6094C2311yescharacteristic
330C2×#6094C2311yescharacteristic
331C2×#6094C2311yescharacteristic
332C2×#6094C2311yescharacteristic
333C2×#6094C2311yescharacteristic, complemented
334C2×C8×D13C2311yescharacteristic
335C2×C8×D13C2311yescharacteristic
336C2×C8×D13C2311yescharacteristic, complemented
337#88152—21no—
338#88152—21no—
339#88150—21no—
340#88150—21no—
341#88150D411yescharacteristic
342#88149—21no—
343#88149—21no—
344#88149—21no—
345#88149C2311yescharacteristic
346#88149C2311yescharacteristic
347#88149C2311yescharacteristic
348#88149C2311yescharacteristic, complemented
349#88148—21no—
350#88148—21no—
351#88148—21no—
352#88148—21no—
353#88148D411yescharacteristic
354#88147—21no—
355#88147—21no—
356#88147C2311yescharacteristic
357#88147C2311yescharacteristic, complemented
358#88146—21no—
359#88146—21no—
360#88146—21no—
361#88146C2311yescharacteristic
362#88146C2311yescharacteristic
363#88146C2311yescharacteristic
364#88146C2311yescharacteristic
365#88146C2311yescharacteristic
366#88146C2311yescharacteristic, complemented
367C4⋊C4×D13C2311yescharacteristic
368C4⋊C4×D13C2311yescharacteristic, complemented
369#88144C2311yescharacteristic, complemented
370#88143—21no—
371#88142C2311yescharacteristic, complemented
372#88141—21no—
373#88140—21no—
374#88139—21no—
375#88139—21no—
376#88139—21no—
377#88138—21no—
378#88138—21no—
379#88138—21no—
380#88138—21no—
381#88138—21no—
382#88138—21no—
383#88138D411yescharacteristic
384#88137—21no—
385#88137—21no—
386#88137D411yescharacteristic
387#88136—21no—
388#88136—21no—
389#88136—21no—
390#88136—21no—
391#88136—21no—
392#88136—21no—
393#88136—21no—
394#88136—21no—
395#88136—21no—
396#88136—21no—
397#88136—21no—
398#88136—21no—
399#88136D411yescharacteristic
400#88135—21no—
401#88135—21no—
402#88135—21no—
403#88135—21no—
404C22⋊C4×D13—21no—
405C22⋊C4×D13—21no—
406C22⋊C4×D13—21no—
407C22⋊C4×D13—21no—
408C22⋊C4×D13—21no—
409#88133—21no—
410#88133—21no—
411#88132D411yescharacteristic
412#88131—21no—
413#88128C2311yescharacteristic
414C4×D52C2311yescharacteristic
415C4×D52C2311yescharacteristic
416C4×D52C2311yescharacteristic, complemented
417#88126C2311yescharacteristic
418#88124C2311yescharacteristic, complemented
419C13×#106C2311yescharacteristic, complemented
420C13×#106C2311yescharacteristic, 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#88047C2311yescharacteristic, complemented
481#88047C2311yescharacteristic, 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—
503C13×#41—82no—
504C2×Q8×C13—21no—
505C2×Q8×C13C2411yescharacteristic
506C2×D4×C13—22no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—21no—
512C2×D4×C13—41no—
513C2×D4×C13C2×D411yescharacteristic
514C2×D4×C13C2411yescharacteristic
515C2×D4×C13C2411yescharacteristic
516C2×D4×C13C2411yescharacteristic
517C22×C4×C13—21no—
518C22×C4×C13—21no—
519C22×C4×C13—21no—
520C22×C4×C13—21no—
521C22×C4×C13—21no—
522C22×C4×C13C2411yescharacteristic
523C22×C4×C13C2411yescharacteristic
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—21no—
537C2×C22⋊D13—21no—
538C2×C22⋊D13—21no—
539C2×C22⋊D13—44no—
540C2×C22⋊D13—82no—
541C2×C22⋊D13C2×D411yescharacteristic
542C2×C22⋊D13C2×D411yescharacteristic
543C2×C22⋊D13C2×D411yescharacteristic
544C2×C22⋊D13C2×D411yescharacteristic
545C22×Dic13—21no—
546C22×Dic13—21no—
547C22×Dic13—21no—
548C22×Dic13C2×D411yescharacteristic
549#6131—22no—
550#6131—22no—
551#6131—22no—
552#6131—41no—
553D4×D13—22no—
554D4×D13—22no—
555D4×D13—22no—
556D4×D13—22no—
557D4×D13—22no—
558D4×D13—22no—
559D4×D13—22no—
560D4×D13—22no—
561D4×D13—41no—
562D4×D13—41no—
563D4×D13—41no—
564D4×D13—44no—
565D4×D13—44no—
566D4×D13—44no—
567D4×D13—44no—
568D4×D13—82no—
569D4×D13—82no—
570D4×D13—82no—
571D4×D13#4114yescomplemented
572#6127—22no—
573#6127—22no—
574#6127—44no—
575#6127—82no—
576C2×D52—22no—
577C2×D52—22no—
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—21no—
587C2×D52—21no—
588C2×D52—41no—
589C2×D52—41no—
590C2×D52—44no—
591C2×D52—82no—
592C2×D52C2×D411yescharacteristic
593C2×D52C2×D411yescharacteristic
594C2×D52C2411yescharacteristic
595C2×D52C2411yescharacteristic
596C2×D52C2411yescharacteristic
597C2×D52C2411yescharacteristic
598C2×C4×D13—22no—
599C2×C4×D13—22no—
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⋊C4—21no—
627C13×C4⋊C4—21no—
628C13×C4⋊C4C2×D411yescharacteristic
629C13×C4⋊C4C2411yescharacteristic
630C13×C4⋊C4C2411yescharacteristic
631C13×C4⋊C4C2411yescharacteristic
632C13×C4⋊C4C2411yescharacteristic
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×C13C2411yescharacteristic
644C22⋊Dic13—21no—
645C22⋊Dic13—21no—
646C22⋊Dic13—21no—
647C22⋊Dic13—21no—
648C22⋊Dic13—21no—
649C22⋊Dic13—21no—
650C22⋊Dic13C2×D411yescharacteristic
651C22⋊Dic13C2×D411yescharacteristic
652#6106—41no—
653#6104—22no—
654#6104—22no—
655#6104—41no—
656#6104—41no—
657#6104—41no—
658#6103—21no—
659#6103—21no—
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#6101C2×D411yescharacteristic
700#6101C2×D411yescharacteristic
701#6101C2×D411yescharacteristic
702#6101C2×D411yescharacteristic
703C4×Dic13—21no—
704C4×Dic13—21no—
705C4×Dic13—21no—
706C4×Dic13—21no—
707C4×Dic13—21no—
708C4×Dic13—21no—
709C4×Dic13—21no—
710C4×Dic13C2411yescharacteristic
711C2×#1055—41no—
712C2×#1055—41no—
713C2×#1055C2411yescharacteristic
714C2×#1055C2411yescharacteristic
715C2×#1055C2411yescharacteristic
716C2×#1055C2411yescharacteristic
717D104—22no—
718D104—41no—
719D104—41no—
720#6094—22no—
721#6094—22no—
722#6094—41no—
723#6094—41no—
724#6094—41no—
725C8×D13—22no—
726C8×D13—22no—
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#3319—131no—
736#3318—131no—
737#3318—131no—
738#3318—131no—
739#3318—131no—
740#3306—131no—
741#3306D1311yescharacteristic, complemented
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—22no—
768C22×D13—21no—
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—22no—
806D4×C13—21no—
807D4×C13—21no—
808D4×C13—21no—
809D4×C13—21no—
810D4×C13—21no—
811D4×C13—42no—
812D4×C13—42no—
813D4×C13—42no—
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—42no—
828C2×C4×C13—81no—
829C2×C4×C13—81no—
830C2×C4×C13—81no—
831C2×C4×C13C22×D411yescharacteristic
832C2×C4×C13C22×D411yescharacteristic
833C2×C4×C13C22×D411yescharacteristic
834C2×C4×C13C22×D411yescharacteristic
835C2×C4×C13C2511yescharacteristic
836C22⋊D13—22no—
837C22⋊D13—22no—
838C22⋊D13—22no—
839C22⋊D13—24no—
840C22⋊D13—41no—
841C22⋊D13—42no—
842C22⋊D13—42no—
843C22⋊D13—42no—
844C22⋊D13—42no—
845C22⋊D13—42no—
846C22⋊D13—42no—
847C22⋊D13—42no—
848C22⋊D13—81no—
849C22⋊D13—81no—
850C22⋊D13—81no—
851C22⋊D13—81no—
852C22⋊D13—81no—
853C22⋊D13—81no—
854C22⋊D13—81no—
855C2×Dic13—22no—
856C2×Dic13—21no—
857C2×Dic13—21no—
858C2×Dic13—21no—
859C2×Dic13—21no—
860C2×Dic13—81no—
861C2×Dic13—81no—
862C2×Dic13—81no—
863C2×Dic13C22×D411yescharacteristic
864C2×Dic13C22×D411yescharacteristic
865C2×Dic13C22×D411yescharacteristic
866C2×Dic13C22×D411yescharacteristic
867C2×Dic13C22×D411yescharacteristic
868D52—22no—
869D52—21no—
870D52—21no—
871D52—21no—
872D52—21no—
873D52—21no—
874D52—21no—
875D52—21no—
876D52—41no—
877D52—42no—
878D52—42no—
879D52—42no—
880D52—42no—
881D52—42no—
882D52—81no—
883D52—81no—
884D52—81no—
885D52—81no—
886D52—81no—
887D52C2×#4112yes—
888C4×D13—22no—
889C4×D13—21no—
890C4×D13—21no—
891C4×D13—21no—
892C4×D13—21no—
893C4×D13—22no—
894C4×D13—42no—
895C4×D13—42no—
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#555—131no—
923#553—131no—
924#553—131no—
925#553—131no—
926#553—131no—
927#551—261no—
928#551—261no—
929#547—131no—
930#547C2×D1311yescharacteristic, complemented
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#485—131no—
974#484—131no—
975#483C2×D1311yescharacteristic, complemented
976#482—131no—
977#482—131no—
978#482—131no—
979#482—131no—
980#482—131no—
981#482—131no—
982#481—131no—
983#481—131no—
984#481C2×D1311yescharacteristic, complemented
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#476C2×D1311yescharacteristic, complemented
994#474—131no—
995#474—131no—
996#469—131no—
997#469—131no—
998#469—131no—
999#469—131no—
1000#469—131no—
1001#469C2×D1311yescharacteristic, complemented
1002#468—131no—
1003#468—131no—
1004#466—131no—
1005#466—131no—
1006#466—131no—
1007#466—131no—
1008#466—131no—
1009#466—131no—
1010#465—131no—
1011#465C2×D1311yescharacteristic, complemented
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#418—131no—
1067#417—131no—
1068#417—131no—
1069#417C2×D1311yescharacteristic, complemented
1070#416—131no—
1071#416—131no—
1072#416—131no—
1073#416—131no—
1074C2×#102—131no—
1075C2×#102—131no—
1076C2×#102—131no—
1077C2×#102—131no—
1078C2×#102—131no—
1079C2×#102—131no—
1080C2×#102—131no—
1081C2×#102C2×D1311yescharacteristic, complemented
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—41no—
1092C22×C13—41no—
1093C22×C13—41no—
1094C22×C13—41no—
1095C22×C13—41no—
1096C22×C13—41no—
1097C22×C13—41no—
1098C22×C13—41no—
1099C22×C13—84no—
1100C22×C13#57612yes—
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—21no—
1111C2×D13—44no—
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—41no—
1123C2×D13—84no—
1124C2×D13—84no—
1125C2×D13—84no—
1126C2×D13—84no—
1127C2×D13—84no—
1128C2×D13—162no—
1129C2×D13—162no—
1130C2×D13—162no—
1131C2×D13#54612yes—
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—21no—
1156C2×#41—131no—
1157C2×#41—131no—
1158C2×#41—131no—
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, complemented
1208C22×C8—131no—
1209C22×C8—131no—
1210C22×C8—131no—
1211C22×C8—131no—
1212C22×C8—131no—
1213C22×C8C22×D1311yescharacteristic
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—131no—
1229#124—261no—
1230#124—261no—
1231#124—261no—
1232#124—261no—
1233#124—261no—
1234#124—261no—
1235#124C22×D1311yescharacteristic
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—131no—
1240#123—131no—
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—21no—
1252C22⋊Q8—131no—
1253C22⋊Q8—131no—
1254C22⋊Q8—131no—
1255C22⋊Q8—261no—
1256C22⋊Q8—261no—
1257C22⋊Q8—261no—
1258C22⋊Q8C22×D1311yescharacteristic
1259#121—21no—
1260#121—131no—
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—261no—
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—131no—
1341#117—131no—
1342#117—131no—
1343#117—131no—
1344#117—131no—
1345#117—131no—
1346#117—131no—
1347#117—131no—
1348#117—261no—
1349#117—261no—
1350#117—261no—
1351#117—261no—
1352C2×C4⋊C4—131no—
1353C2×C4⋊C4—131no—
1354C2×C4⋊C4—131no—
1355C2×C4⋊C4C22×D1311yescharacteristic
1356C2×C4⋊C4C22×D1311yescharacteristic, complemented
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#107—131no—
1373#107—131no—
1374#106—131no—
1375#106—131no—
1376#106—131no—
1377#106C22×D1311yescharacteristic, complemented
1378#106C22×D1311yescharacteristic, complemented
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—22no—
1437C2×C13—42no—
1438C2×C13—41no—
1439C2×C13—81no—
1440C2×C13—81no—
1441C2×C13C2×#54611yescharacteristic
1442C2×C13C2×#57611yescharacteristic
1443C2×C13#358511yescharacteristic
1444D13—22no—
1445D13—41no—
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—82no—
1467#41—262no—
1468#41—262no—
1469#41—262no—
1470#41—262no—
1471#41—262no—
1472#41—524no—
1473#41—521no—
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—21no—
1556C22×C4—21no—
1557C22×C4—131no—
1558C22×C4—131no—
1559C22×C4—131no—
1560C22×C4—131no—
1561C22×C4—131no—
1562C22×C4—131no—
1563C22×C4—262no—
1564C22×C4—262no—
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—21no—
1613C4⋊C4—21no—
1614C4⋊C4—131no—
1615C4⋊C4—131no—
1616C4⋊C4—131no—
1617C4⋊C4—131no—
1618C4⋊C4—131no—
1619C4⋊C4—131no—
1620C4⋊C4—131no—
1621C4⋊C4—131no—
1622C4⋊C4—131no—
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—131no—
1646C22⋊C4—131no—
1647C22⋊C4—131no—
1648C22⋊C4—131no—
1649C22⋊C4—131no—
1650C22⋊C4—131no—
1651C22⋊C4—131no—
1652C22⋊C4—131no—
1653C22⋊C4—261no—
1654C22⋊C4—261no—
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—131no—
1683C42—261no—
1684C42—261no—
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—264no—
1703C23—262no—
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—22no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—132no—
1752D4—262no—
1753D4—264no—
1754D4—262no—
1755D4—262no—
1756D4—262no—
1757D4—261no—
1758D4—261no—
1759D4—261no—
1760D4—261no—
1761D4—261no—
1762D4—261no—
1763D4—261no—
1764D4—521no—
1765D4—522no—
1766D4—522no—
1767D4—522no—
1768D4—522no—
1769D4—522no—
1770D4—522no—
1771D4—522no—
1772D4—521no—
1773D4—522no—
1774D4—522no—
1775D4—522no—
1776D4—522no—
1777D4—522no—
1778D4—1041no—
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—42no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—131no—
1806C2×C4—132no—
1807C2×C4—132no—
1808C2×C4—131no—
1809C2×C4—131no—
1810C2×C4—131no—
1811C2×C4—131no—
1812C2×C4—262no—
1813C2×C4—262no—
1814C2×C4—262no—
1815C2×C4—261no—
1816C2×C4—261no—
1817C2×C4—261no—
1818C2×C4—261no—
1819C2×C4—261no—
1820C2×C4—261no—
1821C2×C4—261no—
1822C2×C4—261no—
1823C2×C4—522no—
1824C2×C4—522no—
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—21no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—84no—
1862C22—132no—
1863C22—261no—
1864C22—261no—
1865C22—261no—
1866C22—261no—
1867C22—262no—
1868C22—261no—
1869C22—261no—
1870C22—261no—
1871C22—261no—
1872C22—524no—
1873C22—521no—
1874C22—521no—
1875C22—521no—
1876C22—521no—
1877C22—521no—
1878C22—521no—
1879C22—521no—
1880C22—521no—
1881C22—521no—
1882C22—521no—
1883C22—521no—
1884C22—1044no—
1885C22—1044no—
1886C22—1044no—
1887C22—1044no—
1888C22—1044no—
1889C22—2082no—
1890C22—2082no—
1891C22—2082no—
1892C22#1171947912yes—
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—22no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—262no—
1920C2—521no—
1921C2—521no—
1922C2—522no—
1923C2—1041no—
1924C2—1041no—
1925C2—1041no—
1926C2D13×#54611yescharacteristic
1927C2C2×#1171947911yescharacteristic
1928C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3306C2
socleC22×C13C23×D4
hypercenter#3306D13
hypocenterC13#61183
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #13128560C2semidirect
2. #13128466C2semidirect
3. #13127075C2semidirect
4. #13127073C2semidirect
5. #13127044C2semidirect
6. #13127038C2semidirect
7. #13126996C2semidirect
8. #13126991C2semidirect
9. #13126982C2semidirect
10. #13126981C2semidirect
11. #13126979C2semidirect
12. #13126975C2semidirect
13. #13126795C2semidirect
14. #13126692C2semidirect
15. #13126686C2semidirect
16. #13126645C2semidirect
17. #13126643C2semidirect
18. #13125187C2semidirect
19. #13124793C2semidirect
20. #13124750C2semidirect
21. #13124662C2semidirect
22. #13124482C2semidirect
23. #13124448C2semidirect
24. #13124337C2semidirect
25. #13124101C2semidirect
26. D13×#447C2semidirect
27. #13123685C2semidirect
28. #13123562C2semidirect
29. #13123360C2semidirect
30. C2×#11718431C2semidirect
31. C13×#3306C2semidirect
34. C13×#547C22semidirect
35. C13×#546C22semidirect
38. #11719534C22semidirect
39. D4×C22⋊D13C22semidirect
40. C2×#88168C22semidirect
42. C2×D8×D13C22semidirect
43. C2×#88161C22semidirect
44. C22×#6094C22semidirect
45. #11719439C22semidirect
46. #11719434C22semidirect
47. #11719381C22semidirect
57. #11719335C22semidirect
59. #11719323C22semidirect
60. #11719321C22semidirect
62. #11719314C22semidirect
64. #11719312C22semidirect
66. D13×#121C22semidirect
69. #11719270C22semidirect
70. #11719263C22semidirect
71. D4×D52C22semidirect
72. D4×D52C22semidirect
75. #11719250C22semidirect
76. #11719219C22semidirect
77. #11719212C22semidirect
78. #11719209C22semidirect
79. C2×#88146C22semidirect
82. C13×#489C22semidirect
83. C13×#483C22semidirect
84. C13×#481C22semidirect
85. C13×#476C22semidirect
86. C13×#469C22semidirect
87. C13×#465C22semidirect
88. C13×#463C22semidirect
89. C13×#449C22semidirect
90. C13×#447C22semidirect
91. C13×#442C22semidirect
92. C13×#435C22semidirect
93. C13×#417C22semidirect
94. C2×C13×#102C22semidirect
95. #11718899C22semidirect
96. #11718894C22semidirect
97. #11718878C22semidirect
98. C2×#88072C22semidirect
99. #11718835C22semidirect
100. #11718833C22semidirect
101. #11718826C22semidirect
102. #11718820C22semidirect
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. #11718748C22semidirect
116. #11718718C22semidirect
117. #11718717C22semidirect
118. #11718709C22semidirect
119. #11718705C22semidirect
120. #11718699C22semidirect
121. #11718699C22semidirect
122. #11718699C22semidirect
123. #11718697C22semidirect
124. #11718697C22semidirect
125. #11718696C22semidirect
126. #11718676C22semidirect
127. C4×#6104C22semidirect
128. C4×#6104C22semidirect
129. D4×#1055C22semidirect
130. #11718670C22semidirect
131. #11718628C22semidirect
132. #11718628C22semidirect
133. C2×#88049C22semidirect
134. C2×#88049C22semidirect
135. #11718532C22semidirect
136. #11718531C22semidirect
137. #11718530C22semidirect
138. #11718527C22semidirect
139. #11718527C22semidirect
140. #11718527C22semidirect
141. #11718526C22semidirect
142. #11718526C22semidirect
143. #11718524C22semidirect
144. #11718522C22semidirect
145. #11718521C22semidirect
146. #11718521C22semidirect
147. #11718508C22semidirect
148. #11718504C22semidirect
149. #11718500C22semidirect
150. #11718499C22semidirect
151. #11718480C22semidirect
152. #11718476C22semidirect
153. #11718476C22semidirect
154. #11718473C22semidirect
155. #11718472C22semidirect
156. #11718465C22semidirect
157. #11718465C22semidirect
158. #11718465C22semidirect
159. #11718464C22semidirect
160. #11718464C22semidirect
161. #11718461C22semidirect
162. #11718456C22semidirect
163. #11718447C22semidirect
164. #11718443C22semidirect
165. #11718440C22semidirect
166. #11718436C22semidirect
167. #11718436C22semidirect
168. #11718435C22semidirect
169. #11718434C22semidirect
170. #11718434C22semidirect
171. #11718434C22semidirect
174. #11718431C22semidirect
175. #11718431C22semidirect
176. #11718431C22semidirect
177. #11718431C22semidirect
178. #11718431C22semidirect
179. #11718431C22semidirect
180. #11718431C22semidirect
181. #11718431C22semidirect
183. D13×#102C22semidirect
184. D13×#102C22semidirect
185. #11718425C22semidirect
186. #11718424C22semidirect
187. #11718421C22semidirect
188. #11718420C22semidirect
189. #11718417C22semidirect
190. #11718417C22semidirect
191. #11718398C22semidirect
192. #11718396C22semidirect
193. #11718393C22semidirect
194. #11718393C22semidirect
195. #11718391C22semidirect
196. #11718391C22semidirect
197. #11718388C22semidirect
198. D13×C22⋊C8C22semidirect
199. #11718374C22semidirect
200. #11718372C22semidirect
201. #11718369C22semidirect
202. #11718367C22semidirect
236. C2×C13×SD16C23semidirect
239. C2×C13×M16C23semidirect
241. C13×C4⋊Q8C23semidirect
251. C13×#121C23semidirect
255. C4×D4×C13C23semidirect
257. C2×C13×C4⋊C4C23semidirect
266. C2×#6106C23semidirect
279. #88192C23semidirect
289. D4×Dic13C23semidirect
294. C2×#6104C23semidirect
300. #88184C23semidirect
316. #88180C23semidirect
320. C22×#1055C23semidirect
327. C2×D104C23semidirect
333. C2×#6094C23semidirect
336. C2×C8×D13C23semidirect
348. #88149C23semidirect
357. #88147C23semidirect
366. #88146C23semidirect
368. C4⋊C4×D13C23semidirect
369. #88144C23semidirect
371. #88142C23semidirect
416. C4×D52C23semidirect
418. #88124C23semidirect
419. C13×#106C23semidirect
420. C13×#106C23semidirect
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. #88047C23semidirect
481. #88047C23semidirect
482. #88047C23semidirect
483. #88047C23semidirect
484. #88047C23semidirect
485. C4⋊#1055C23semidirect
486. C4×#1055C23semidirect
571. D4×D13#41semidirect
741. #3306D13semidirect
930. #547C2×D13semidirect
938. #546C2×D13semidirect
967. #489C2×D13semidirect
975. #483C2×D13semidirect
984. #481C2×D13semidirect
993. #476C2×D13semidirect
1001. #469C2×D13semidirect
1011. #465C2×D13semidirect
1015. #463C2×D13semidirect
1023. #449C2×D13semidirect
1035. #447C2×D13semidirect
1039. #442C2×D13semidirect
1049. #435C2×D13semidirect
1069. #417C2×D13semidirect
1081. C2×#102C2×D13semidirect
1187. C2×SD16C22×D13semidirect
1207. C2×M16C22×D13semidirect
1216. C4⋊Q8C22×D13semidirect
1292. #121C22×D13semidirect
1339. C4×D4C22×D13semidirect
1356. C2×C4⋊C4C22×D13semidirect
1377. #106C22×D13semidirect
1378. #106C22×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
#131285602
#131284662
#131270752
#131270732
#131270442
#131270382
#131269962
#131269912
#131269822
#131269812
#131269792
#131269752
#131267952
#131266922
#131266862
#131266452
#131266432
#131251872
#131247932
#131247502
#131246622
#131244822
#131244482
#131243372
#131241012
D13×#4472
#131236852
#131235622
#131233602
C2×#117184312
C13×#33062
#6118313