Finite Group Databasebeta

← #15639252

Subgroups — #15639252

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082443C211yesmaximal, characteristic, complemented
2#13082105C211yesmaximal, characteristic, complemented
3#13080884C211yesmaximal, characteristic, complemented
4#13080834C211yesmaximal, characteristic, complemented
5#13080780C211yesmaximal, characteristic, complemented
6#13080752C211yesmaximal, characteristic, complemented
7#13080735C211yesmaximal, characteristic, complemented
8#13080707C211yesmaximal, characteristic, complemented
9#13080523C211yesmaximal, characteristic, complemented
10#13080473C211yesmaximal, characteristic, complemented
11#13080352C211yesmaximal, characteristic, complemented
12#13080322C211yesmaximal, characteristic, complemented
13#13080223C211yesmaximal, characteristic, complemented
14#13080180C211yesmaximal, characteristic, complemented
15#13080150C211yesmaximal, characteristic, complemented
16#13080139C211yesmaximal, characteristic, complemented
17#13080114C211yesmaximal, characteristic, complemented
18#13079652C211yesmaximal, characteristic, complemented
19#13079587C211yesmaximal, characteristic, complemented
20#13079452C211yesmaximal, characteristic, complemented
21#13079447C211yesmaximal, characteristic, complemented
22#13079406C211yesmaximal, characteristic, complemented
23#13079384C211yesmaximal, characteristic, complemented
24#13078724C211yesmaximal, characteristic, complemented
25#13078632C211yesmaximal, characteristic, complemented
26#13077864C211yesmaximal, characteristic, complemented
27#13077857C211yesmaximal, characteristic, complemented
28#13077833C211yesmaximal, characteristic, complemented
29D11×#452C211yesmaximal, characteristic, complemented
30#13077648C211yesmaximal, characteristic, complemented
31C11×#3275C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4343C2211yescharacteristic, complemented
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C11×#548C2211yescharacteristic
37C11×#546C2211yescharacteristic, complemented
38#10623365C2211yescharacteristic
39#10623362C2211yescharacteristic
40#10623359C2211yescharacteristic, complemented
41C2×#67002C2211yescharacteristic, complemented
42Q8×C22⋊D11C2211yescharacteristic, complemented
43#10623337C2211yescharacteristic, complemented
44C2×#66991C2211yescharacteristic, complemented
45C2×#66985C2211yescharacteristic, complemented
46C2×Q16×D11C2211yescharacteristic, complemented
47C2×#66969C2211yescharacteristic, complemented
48C2×#66969C2211yescharacteristic, complemented
49C2×SD16×D11C2211yescharacteristic, complemented
50#10623211C2211yescharacteristic, complemented
51#10623208C2211yescharacteristic, complemented
52#10623207—21no—
53#10623207C2211yescharacteristic, complemented
54#10623199—21no—
55#10623199C2211yescharacteristic, complemented
56#10623192—21no—
57#10623191—21no—
58#10623173C2211yescharacteristic, complemented
59#10623162—21no—
60#10623162C2211yescharacteristic
61#10623158—21no—
62#10623158C2211yescharacteristic
63D11×C22⋊Q8C2211yescharacteristic, complemented
64#10623145—21no—
65#10623145C2211yescharacteristic
66#10623144—21no—
67#10623140—21no—
68#10623140C2211yescharacteristic, complemented
69#10623137—21no—
70#10623137C2211yescharacteristic, complemented
71#10623137C2211yescharacteristic, complemented
72#10623120—21no—
73#10623118—21no—
74#10623107C2211yescharacteristic, complemented
75C4×#4343C2211yescharacteristic, complemented
76#10623089C2211yescharacteristic, complemented
77#10623088C2211yescharacteristic, complemented
78#10623081—21no—
79#10623081C2211yescharacteristic
80C4×D4×D11—21no—
81C4×D4×D11C2211yescharacteristic
82#10623072C2211yescharacteristic, complemented
83#10623026—21no—
84#10623017—21no—
85C11×#495C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#450C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622838C2211yescharacteristic, complemented
101#10622830C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622800C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622797C2211yescharacteristic, complemented
108#10622795C2211yescharacteristic, complemented
109#10622786C2211yescharacteristic, complemented
110#10622785C2211yescharacteristic
111#10622785C2211yescharacteristic
112#10622785C2211yescharacteristic, complemented
113#10622785C2211yescharacteristic, complemented
114#10622785C2211yescharacteristic, complemented
115#10622785C2211yescharacteristic, complemented
116#10622784C2211yescharacteristic, complemented
117#10622784C2211yescharacteristic, complemented
118#10622784C2211yescharacteristic, complemented
119#10622783C2211yescharacteristic, complemented
120#10622783C2211yescharacteristic, complemented
121#10622780C2211yescharacteristic, complemented
122#10622779C2211yescharacteristic, complemented
123#10622777C2211yescharacteristic, complemented
124#10622776C2211yescharacteristic, complemented
125#10622775C2211yescharacteristic, complemented
126#10622771C2211yescharacteristic, complemented
127#10622771C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic, complemented
129#10622770C2211yescharacteristic, complemented
130#10622769C2211yescharacteristic, complemented
131#10622769C2211yescharacteristic, complemented
132#10622767C2211yescharacteristic, complemented
133#10622763C2211yescharacteristic, complemented
134#10622750C2211yescharacteristic, complemented
135#10622747C2211yescharacteristic, complemented
136#10622746C2211yescharacteristic, complemented
137#10622744C2211yescharacteristic, complemented
138#10622740C2211yescharacteristic, complemented
139#10622740C2211yescharacteristic, complemented
140#10622739C2211yescharacteristic, complemented
141#10622739C2211yescharacteristic, complemented
142#10622672C2211yescharacteristic, complemented
143#10622670C2211yescharacteristic, complemented
144#10622669C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622665C2211yescharacteristic, complemented
147#10622662C2211yescharacteristic, complemented
148#10622660C2211yescharacteristic, complemented
149#10622657C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622655C2211yescharacteristic, complemented
152#10622649C2211yescharacteristic, complemented
153#10622648C2211yescharacteristic, complemented
154C4×#4326C2211yescharacteristic, complemented
155#10622635C2211yescharacteristic, complemented
156#10622629C2211yescharacteristic, complemented
157C4×#4323C2211yescharacteristic, complemented
158#10622625C2211yescharacteristic, complemented
159#10622484C2211yescharacteristic, complemented
160#10622480C2211yescharacteristic, complemented
161#10622480C2211yescharacteristic, complemented
162#10622476C2211yescharacteristic, complemented
163#10622460C2211yescharacteristic, complemented
164#10622458C2211yescharacteristic, complemented
165#10622448C2211yescharacteristic, complemented
166#10622447C2211yescharacteristic, complemented
167#10622430C2211yescharacteristic, complemented
168#10622427C2211yescharacteristic, complemented
169#10622426C2211yescharacteristic, complemented
170#10622423C2211yescharacteristic, complemented
171#10622423C2211yescharacteristic, complemented
172#10622422C2211yescharacteristic, complemented
173#10622419C2211yescharacteristic, complemented
174#10622417C2211yescharacteristic, complemented
175#10622417C2211yescharacteristic, complemented
176D11×#103C2211yescharacteristic, complemented
177#10622412C2211yescharacteristic, complemented
178#10622410C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622398C2211yescharacteristic, complemented
181#10622396C2211yescharacteristic, complemented
182#10622396C2211yescharacteristic, complemented
183#10622392C2211yescharacteristic, complemented
184#10622392C2211yescharacteristic, complemented
185#10622392C2211yescharacteristic, complemented
186#10622391C2211yescharacteristic, complemented
187#10622388C2211yescharacteristic, complemented
188#10622388C2211yescharacteristic, complemented
189D11×#102C2211yescharacteristic, complemented
190#10622377C2211yescharacteristic, complemented
191#10622348C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622341C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196D11×C22⋊C8C2211yescharacteristic, complemented
197D11×C22⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201C8×D44C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208#41×D11—42no—
209#41×D11—42no—
210C2×#4343—21no—
211C2×#4343—21no—
212C2×#4343—42no—
213C2×#4343—42no—
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×#4343C2311yescharacteristic
217C2×#4343C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×#4341—21no—
221C2×#4341C2311yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×D4×D11—21no—
224C2×D4×D11—21no—
225C2×D4×D11D411yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339C2311yescharacteristic
229C22×D44—21no—
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C11×#137—42no—
236C11×AGL(1,ℤ/8)—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×D8C2311yescharacteristic
246C2×C11×M16C2311yescharacteristic
247C2×C11×M16C2311yescharacteristic
248C11×#124—21no—
249C11×#124C2311yescharacteristic
250C11×#124C2311yescharacteristic
251C11×#123—21no—
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×#121—21no—
256C11×#121—21no—
257C11×#121C2311yescharacteristic
258C11×#121C2311yescharacteristic
259C11×#120—21no—
260C4×Q8×C11C2311yescharacteristic
261C4×D4×C11—21no—
262C4×D4×C11C2311yescharacteristic
263C4×D4×C11C2311yescharacteristic
264C2×C11×C22⋊C4—21no—
265#67006—21no—
266C2×C22⋊Dic11—21no—
267C2×C22⋊Dic11—21no—
268#67002—42no—
269#66999—21no—
270#66999C2311yescharacteristic
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273Q8×Dic11C2311yescharacteristic
274Q8×Dic11C2311yescharacteristic
275#66997—21no—
276#66997C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282#66993—21no—
283#66993C2311yescharacteristic
284#66992—21no—
285#66991—21no—
286#66991—21no—
287#66991—21no—
288#66991—21no—
289#66991—21no—
290#66991C2311yescharacteristic
291#66991C2311yescharacteristic
292#66991C2311yescharacteristic
293#66991C2311yescharacteristic
294#66991C2311yescharacteristic
295#66991C2311yescharacteristic
296#66990—21no—
297#66990—21no—
298#66990—21no—
299#66990—21no—
300#66990—21no—
301#66989—21no—
302#66989C2311yescharacteristic
303#66988—21no—
304#66988—21no—
305#66988—21no—
306#66988—21no—
307D4×Dic11—21no—
308D4×Dic11—21no—
309D4×Dic11D411yescharacteristic
310D4×Dic11C2311yescharacteristic
311C2×#4324C2311yescharacteristic
312C2×#4324C2311yescharacteristic
313C2×#4324C2311yescharacteristic
314#66985—42no—
315C2×#4323C2311yescharacteristic
316C2×#4323C2311yescharacteristic
317C2×#4323C2311yescharacteristic
318C2×#4323C2311yescharacteristic
319#66983—21no—
320#66983C2311yescharacteristic
321#66982—21no—
322C4×C22⋊D11—21no—
323C4×C22⋊D11—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C4×C22⋊D11—21no—
327C4×C22⋊D11—21no—
328C4×C22⋊D11—21no—
329C4×C22⋊D11C2311yescharacteristic
330C4×C22⋊D11C2311yescharacteristic
331#66979—21no—
332#66979C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334#66977—21no—
335#66977—21no—
336#66977C2311yescharacteristic
337#66977C2311yescharacteristic
338#66977C2311yescharacteristic
339C2×#4318C2311yescharacteristic
340C2×#4318C2311yescharacteristic
341Q16×D11—42no—
342#66969—42no—
343#66969—42no—
344SD16×D11—42no—
345C2×Dic44C2311yescharacteristic
346C2×#4314C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×C8×D11C2311yescharacteristic
349C2×C8×D11C2311yescharacteristic
350C2×C8×D11C2311yescharacteristic
351C2×C8×D11C2311yescharacteristic
352#66951—21no—
353#66950—21no—
354#66950C2311yescharacteristic
355#66950C2311yescharacteristic
356#66949—21no—
357#66948—21no—
358#66948C2311yescharacteristic
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66946—21no—
363#66946—21no—
364#66946D411yescharacteristic
365#66946C2311yescharacteristic
366#66945—21no—
367#66945C2311yescharacteristic
368#66945C2311yescharacteristic
369C4⋊C4×D11—21no—
370C4⋊C4×D11—21no—
371C4⋊C4×D11D411yescharacteristic
372C4⋊C4×D11C2311yescharacteristic
373#66943—21no—
374#66943C2311yescharacteristic
375#66942—21no—
376#66939—21no—
377#66938—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66936—21no—
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66935—21no—
393#66935—21no—
394#66935—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4D411yescharacteristic
404(C22⋊D11)⋊C4D411yescharacteristic
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11D411yescharacteristic
409C22⋊C4×D11D411yescharacteristic
410#66932—21no—
411#66932—21no—
412#66932—21no—
413#66932—21no—
414#66932—21no—
415#66931—21no—
416#66931—21no—
417#66930—21no—
418#66930—21no—
419#66930—21no—
420#66928—21no—
421#66928C2311yescharacteristic
422C4×D44—21no—
423C4×D44—21no—
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426C42×D11—21no—
427C42×D11C2311yescharacteristic
428#66923C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468(C2×D11)⋊C8C2311yescharacteristic
469#66882C2311yescharacteristic
470#66881C2311yescharacteristic
471#66881C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477#66879C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479Dic11⋊C8C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C2×Q8×C11—21no—
501C2×Q8×C11—22no—
502C2×Q8×C11—41no—
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—41no—
512C2×D4×C11—41no—
513C2×D4×C11C2×D411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2411yescharacteristic
516C2×D4×C11C2411yescharacteristic
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11C2411yescharacteristic
522C22×C4×C11C2411yescharacteristic
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—44no—
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11C2×D411yescharacteristic
544C22×Dic11C2×D411yescharacteristic
545#4343—22no—
546#4343—22no—
547#4343—22no—
548#4343—22no—
549#4343—41no—
550#4343—41no—
551#4343—41no—
552#4343—41no—
553#4343—44no—
554#4343—44no—
555Q8×D11—22no—
556Q8×D11—41no—
557Q8×D11—41no—
558Q8×D11—41no—
559#4341—41no—
560#4341—41no—
561#4341—41no—
562#4341—41no—
563#4341—44no—
564D4×D11—22no—
565D4×D11—41no—
566D4×D11—42no—
567D4×D11—44no—
568D4×D11—44no—
569#4339—22no—
570#4339—41no—
571#4339—44no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44—22no—
578C2×D44—21no—
579C2×D44—41no—
580C2×D44—44no—
581C2×D44C2×D411yescharacteristic
582C2×D44C2411yescharacteristic
583C2×D44C2411yescharacteristic
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—41no—
595C2×C4×D11—41no—
596C2×C4×D11—41no—
597C2×C4×D11—41no—
598C2×C4×D11—44no—
599C2×C4×D11—44no—
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2×D411yescharacteristic
605C2×C4×D11C2×D411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C2×C4×D11C2411yescharacteristic
609C2×Dic22—21no—
610C2×Dic22—21no—
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—22no—
614C11×Q16—41no—
615C11×SD16—22no—
616C11×SD16—22no—
617C11×SD16—41no—
618C11×SD16—41no—
619C11×SD16—41no—
620C11×D8—41no—
621C11×D8—41no—
622C11×M16—41no—
623C11×M16—41no—
624C2×C8×C11C2411yescharacteristic
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C2×C8×C11C2411yescharacteristic
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4C2×D411yescharacteristic
632C11×C4⋊C4C2411yescharacteristic
633C11×C4⋊C4C2411yescharacteristic
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4—21no—
643C11×C22⋊C4C2×D411yescharacteristic
644C11×C22⋊C4C2×D411yescharacteristic
645C42×C11—21no—
646C42×C11C2411yescharacteristic
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11—21no—
659C22⋊Dic11—21no—
660C22⋊Dic11C2×D411yescharacteristic
661C22⋊Dic11C2×D411yescharacteristic
662#4326—22no—
663#4326—41no—
664#4326—41no—
665#4325—22no—
666#4325—41no—
667#4324—41no—
668#4324—41no—
669#4324—41no—
670#4323—22no—
671#4323—22no—
672#4323—41no—
673#4323—41no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11C2×D411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11C2×D411yescharacteristic
724C4×Dic11C2×D411yescharacteristic
725C4×Dic11C2411yescharacteristic
726#4318—41no—
727#4318—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732Dic44—41no—
733#4314—22no—
734#4314—41no—
735C8×D11—41no—
736C8×D11—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3505—111no—
740D4×#41—111no—
741#3327—111no—
742#3323—111no—
743#3320—111no—
744#3318—111no—
745#3317—111no—
746#3315—111no—
747#3301—111no—
748#3297—111no—
749#3285—111no—
750#3282—111no—
751#3275D1111yescharacteristic, complemented
752#3273—111no—
753#3270—111no—
754#3268—111no—
755#3267—111no—
756#3265—111no—
757#3219—111no—
758#3212—111no—
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188—111no—
763#3111—111no—
764#3102—111no—
765#3006—111no—
766#3005—111no—
767#3002—111no—
768C2×#452—111no—
769#2974—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—42no—
774C23×C11—81no—
775C23×C11—81no—
776C23×C11C22×D411yescharacteristic
777C23×C11C22×D411yescharacteristic
778C22×D11—21no—
779C22×D11—22no—
780C22×D11—21no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—41no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11—42no—
789C22×D11—42no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—42no—
801Q8×C11H(5,𝔽2)12yes—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—41no—
809D4×C11—42no—
810D4×C11—42no—
811D4×C11—81no—
812D4×C11—81no—
813D4×C11—81no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—42no—
824C2×C4×C11—42no—
825C2×C4×C11—81no—
826C2×C4×C11—81no—
827C2×C4×C11C22×D411yescharacteristic
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C22×D411yescharacteristic
830C2×C4×C11C22×D411yescharacteristic
831C2×C4×C11C2511yescharacteristic
832C22⋊D11—22no—
833C22⋊D11—41no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—42no—
840C22⋊D11—42no—
841C22⋊D11—42no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C22⋊D11—81no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—41no—
854C2×Dic11—41no—
855C2×Dic11—42no—
856C2×Dic11—42no—
857C2×Dic11—81no—
858C2×Dic11—81no—
859C2×Dic11C22×D411yescharacteristic
860C2×Dic11C22×D411yescharacteristic
861C2×Dic11C22×D411yescharacteristic
862C2×Dic11C22×D411yescharacteristic
863C2×Dic11C22×D411yescharacteristic
864D44—24no—
865D44—22no—
866D44—21no—
867D44—21no—
868D44—21no—
869D44—42no—
870D44—42no—
871D44—42no—
872D44—42no—
873D44—42no—
874D44H(5,𝔽2)12yes—
875C4×D11—24no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—21no—
880C4×D11—21no—
881C4×D11—21no—
882C4×D11—41no—
883C4×D11—41no—
884C4×D11—41no—
885C4×D11—41no—
886C4×D11—41no—
887C4×D11—41no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—42no—
892C4×D11—42no—
893C4×D11—42no—
894C4×D11—81no—
895C4×D11—81no—
896C4×D11—81no—
897Dic22—21no—
898Dic22—21no—
899Dic22—21no—
900Dic22—21no—
901Dic22—42no—
902Dic22—81no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C22×#41—111no—
912C22×#41—111no—
913C2×#137C2×D1111yescharacteristic, complemented
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
917C2×#135—111no—
918C2×#135—111no—
919C22×Q16—111no—
920C22×SD16—111no—
921#553—111no—
922#553—111no—
923#553—221no—
924#553—221no—
925#552—111no—
926#552—111no—
927#551—221no—
928#551—221no—
929#550—111no—
930D4×Q8—111no—
931#548—111no—
932#548—111no—
933#548—111no—
934#548C2×D1111yescharacteristic
935#547—111no—
936#547—221no—
937#546—111no—
938#546—111no—
939#546—111no—
940#546—221no—
941#546—221no—
942#546C2×D1111yescharacteristic, complemented
943D42—111no—
944D42—221no—
945#539—221no—
946#538—221no—
947#534—221no—
948#532—111no—
949#532—221no—
950#529—111no—
951#529—111no—
952#525—111no—
953#525—111no—
954#525—111no—
955#525—111no—
956#525—221no—
957#525—221no—
958C2×C22⋊Q8—111no—
959C2×#121—111no—
960#518—221no—
961C4×#41—111no—
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495—111no—
967#495C2×D1111yescharacteristic, complemented
968#491—111no—
969#490—111no—
970#488—111no—
971#488—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485—111no—
976#484—111no—
977#484—111no—
978#482—111no—
979#482—111no—
980#482—111no—
981#482—111no—
982#481—111no—
983#481—111no—
984#479—111no—
985#479—111no—
986#478—111no—
987#478—111no—
988#470—111no—
989#470—111no—
990#470C2×D1111yescharacteristic, complemented
991#469C2×D1111yescharacteristic, complemented
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#467—111no—
997#466—111no—
998#466—111no—
999#466—111no—
1000#465—111no—
1001#465—111no—
1002#465—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464C2×D1111yescharacteristic, complemented
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463C2×D1111yescharacteristic, complemented
1012#462—111no—
1013#461—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452—111no—
1029#452C2×D1111yescharacteristic, complemented
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450C2×D1111yescharacteristic, complemented
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449C2×D1111yescharacteristic, complemented
1044#448—111no—
1045#448—111no—
1046#448—111no—
1047#448C2×D1111yescharacteristic, complemented
1048#447—111no—
1049#447—111no—
1050#447—111no—
1051#447—111no—
1052#442—111no—
1053#441—111no—
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×SD16—111no—
1058C4×SD16C2×D1111yescharacteristic, complemented
1059C4×D8—111no—
1060#436—111no—
1061#436C2×D1111yescharacteristic, complemented
1062#435—111no—
1063#435—111no—
1064#435—111no—
1065#435—111no—
1066C8×D4—111no—
1067C8×D4—111no—
1068#432—111no—
1069#431—111no—
1070#419—111no—
1071#418—111no—
1072#417—111no—
1073#417—111no—
1074#416—111no—
1075#416—111no—
1076C2×#103—111no—
1077C2×#102—111no—
1078#407—111no—
1079#407—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—162no—
1098C22×C11C23×D411yescharacteristic
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—22no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—82no—
1114C2×D11—84no—
1115C2×D11—82no—
1116C2×D11—84no—
1117C2×D11#57512yes—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—22no—
1122C4×C11—21no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11C2×H(5,𝔽2)11yescharacteristic
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—41no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—221no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—442no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41C22×D1111yescharacteristic
1156C2×#41C22×D1111yescharacteristic
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8C22×D1111yescharacteristic
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4C22×D1111yescharacteristic
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—221no—
1171C23×C4—221no—
1172#137—42no—
1173AGL(1,ℤ/8)—42no—
1174AGL(1,ℤ/8)—442no—
1175AGL(1,ℤ/8)—442no—
1176#135—442no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—442no—
1183C2×Q16C22×D1111yescharacteristic
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—442no—
1193C2×SD16C22×D1111yescharacteristic
1194C2×SD16C22×D1111yescharacteristic
1195C2×SD16C22×D1111yescharacteristic
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8C22×D1111yescharacteristic
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16C22×D1111yescharacteristic
1207C2×M16C22×D1111yescharacteristic
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8—111no—
1211C22×C8—111no—
1212C4⋊Q8—111no—
1213C4⋊Q8—221no—
1214#127—111no—
1215#127—221no—
1216#126—221no—
1217#126—221no—
1218#126—221no—
1219#126—221no—
1220#126—221no—
1221#126—221no—
1222#125—111no—
1223#125—111no—
1224#125—221no—
1225#125—221no—
1226#124—21no—
1227#124—111no—
1228#124—111no—
1229#124—221no—
1230#124—221no—
1231#124—221no—
1232#124C22×D1111yescharacteristic
1233#124C22×D1111yescharacteristic
1234#123—21no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250C22⋊Q8—21no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8C22×D1111yescharacteristic
1267C22⋊Q8C22×D1111yescharacteristic
1268#121—21no—
1269#121—21no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121C22×D1111yescharacteristic
1295#121C22×D1111yescharacteristic
1296#120—21no—
1297#120—221no—
1298#120—221no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8C22×D1111yescharacteristic
1310C4×D4—21no—
1311C4×D4—111no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4C22×D1111yescharacteristic
1343C4×D4C22×D1111yescharacteristic
1344#117—111no—
1345#117—111no—
1346#117—111no—
1347#117—221no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117—221no—
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—111no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4—221no—
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—111no—
1359C2×C22⋊C4—111no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#106—111no—
1372#106—111no—
1373#106—111no—
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8C22×D1111yescharacteristic
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103C22×D1111yescharacteristic
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97—111no—
1425C4×C8—111no—
1426C4×C8C22×D1111yescharacteristic
1427C2×C11—41no—
1428C2×C11—41no—
1429C2×C11—81no—
1430C2×C11—81no—
1431C2×C11—81no—
1432C2×C11#348411yescharacteristic
1433C2×C11C2×#57511yescharacteristic
1434C2×C11#358411yescharacteristic
1435D11—22no—
1436D11—41no—
1437D11—41no—
1438D11—42no—
1439D11—81no—
1440C24—21no—
1441C24—111no—
1442C24—111no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—222no—
1454#41—441no—
1455#41—444no—
1456#41—441no—
1457#41—441no—
1458#41—444no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—444no—
1464#41—441no—
1465#41—441no—
1466#41—444no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—111no—
1471C2×Q8—111no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—222no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8C23×D1111yescharacteristic
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—41no—
1487C2×D4—41no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—222no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—222no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—441no—
1515C2×D4—444no—
1516C2×D4—441no—
1517C2×D4—442no—
1518C2×D4—444no—
1519C2×D4—444no—
1520C2×D4—444no—
1521C2×D4D4×D1111yescharacteristic
1522C2×D4C23×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—441no—
1555C22×C4—441no—
1556C22×C4—441no—
1557C22×C4—441no—
1558C22×C4—444no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—22no—
1563Q16—41no—
1564Q16—222no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—222no—
1574SD16—222no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—41no—
1581D8—41no—
1582D8—222no—
1583D8—222no—
1584D8—441no—
1585D8—441no—
1586M16—41no—
1587M16—41no—
1588M16—441no—
1589M16—441no—
1590C2×C8—111no—
1591C2×C8—111no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—441no—
1595C2×C8—441no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—111no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4D4×D1111yescharacteristic
1632C4⋊C4C23×D1111yescharacteristic
1633C4⋊C4C23×D1111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4D4×D1111yescharacteristic
1676C22⋊C4D4×D1111yescharacteristic
1677C42—21no—
1678C42—111no—
1679C42—111no—
1680C42—111no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—81no—
1694C23—81no—
1695C23—111no—
1696C23—111no—
1697C23—111no—
1698C23—222no—
1699C23—221no—
1700C23—221no—
1701C23—441no—
1702C23—441no—
1703C23—441no—
1704C23—441no—
1705C23—441no—
1706C23—442no—
1707C23—442no—
1708C23—442no—
1709C23—442no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—42no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—442no—
1725Q8—881no—
1726Q8#6703712yes—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—112no—
1740D4—222no—
1741D4—224no—
1742D4—222no—
1743D4—221no—
1744D4—221no—
1745D4—221no—
1746D4—442no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—441no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—111no—
1779C2×C4—111no—
1780C2×C4—111no—
1781C2×C4—111no—
1782C2×C4—111no—
1783C2×C4—224no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—441no—
1799C2×C4—441no—
1800C2×C4—441no—
1801C2×C4—441no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—441no—
1809C2×C4—441no—
1810C2×C4—442no—
1811C2×C4—442no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—112no—
1846C22—162no—
1847C22—221no—
1848C22—221no—
1849C22—222no—
1850C22—221no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—221no—
1855C22—221no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—441no—
1861C22—882no—
1862C22—882no—
1863C22—884no—
1864C22—884no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—441no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6703711yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—222no—
1894C2—441no—
1895C2—441no—
1896C2—442no—
1897C2—881no—
1898C2#1308224411yescharacteristic
1899C2D11×#57511yescharacteristic
1900C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3275C2
socleC22×C11C23×D4
hypercenter#3275D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #13082443C2semidirect
2. #13082105C2semidirect
3. #13080884C2semidirect
4. #13080834C2semidirect
5. #13080780C2semidirect
6. #13080752C2semidirect
7. #13080735C2semidirect
8. #13080707C2semidirect
9. #13080523C2semidirect
10. #13080473C2semidirect
11. #13080352C2semidirect
12. #13080322C2semidirect
13. #13080223C2semidirect
14. #13080180C2semidirect
15. #13080150C2semidirect
16. #13080139C2semidirect
17. #13080114C2semidirect
18. #13079652C2semidirect
19. #13079587C2semidirect
20. #13079452C2semidirect
21. #13079447C2semidirect
22. #13079406C2semidirect
23. #13079384C2semidirect
24. #13078724C2semidirect
25. #13078632C2semidirect
26. #13077864C2semidirect
27. #13077857C2semidirect
28. #13077833C2semidirect
29. D11×#452C2semidirect
30. #13077648C2semidirect
31. C11×#3275C2semidirect
33. C22×#4343C22semidirect
34. C2×C11×#137C22semidirect
35. C2×C11×AGL(1,ℤ/8)C22semidirect
37. C11×#546C22semidirect
40. #10623359C22semidirect
41. C2×#67002C22semidirect
42. Q8×C22⋊D11C22semidirect
43. #10623337C22semidirect
44. C2×#66991C22semidirect
45. C2×#66985C22semidirect
46. C2×Q16×D11C22semidirect
47. C2×#66969C22semidirect
48. C2×#66969C22semidirect
49. C2×SD16×D11C22semidirect
50. #10623211C22semidirect
51. #10623208C22semidirect
53. #10623207C22semidirect
55. #10623199C22semidirect
58. #10623173C22semidirect
63. D11×C22⋊Q8C22semidirect
68. #10623140C22semidirect
70. #10623137C22semidirect
71. #10623137C22semidirect
74. #10623107C22semidirect
75. C4×#4343C22semidirect
76. #10623089C22semidirect
77. #10623088C22semidirect
82. #10623072C22semidirect
85. C11×#495C22semidirect
86. C11×#470C22semidirect
87. C11×#469C22semidirect
88. C11×#464C22semidirect
89. C11×#463C22semidirect
90. C11×#452C22semidirect
91. C11×#450C22semidirect
92. C11×#449C22semidirect
93. C11×#448C22semidirect
94. C4×C11×SD16C22semidirect
95. C11×#436C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622845C22semidirect
99. #10622841C22semidirect
100. #10622838C22semidirect
101. #10622830C22semidirect
102. #10622800C22semidirect
103. #10622800C22semidirect
104. #10622800C22semidirect
105. #10622800C22semidirect
106. #10622799C22semidirect
107. #10622797C22semidirect
108. #10622795C22semidirect
109. #10622786C22semidirect
112. #10622785C22semidirect
113. #10622785C22semidirect
114. #10622785C22semidirect
115. #10622785C22semidirect
116. #10622784C22semidirect
117. #10622784C22semidirect
118. #10622784C22semidirect
119. #10622783C22semidirect
120. #10622783C22semidirect
121. #10622780C22semidirect
122. #10622779C22semidirect
123. #10622777C22semidirect
124. #10622776C22semidirect
125. #10622775C22semidirect
126. #10622771C22semidirect
127. #10622771C22semidirect
128. #10622771C22semidirect
129. #10622770C22semidirect
130. #10622769C22semidirect
131. #10622769C22semidirect
132. #10622767C22semidirect
133. #10622763C22semidirect
134. #10622750C22semidirect
135. #10622747C22semidirect
136. #10622746C22semidirect
137. #10622744C22semidirect
138. #10622740C22semidirect
139. #10622740C22semidirect
140. #10622739C22semidirect
141. #10622739C22semidirect
142. #10622672C22semidirect
143. #10622670C22semidirect
144. #10622669C22semidirect
145. #10622667C22semidirect
146. #10622665C22semidirect
147. #10622662C22semidirect
148. #10622660C22semidirect
149. #10622657C22semidirect
150. #10622655C22semidirect
151. #10622655C22semidirect
152. #10622649C22semidirect
153. #10622648C22semidirect
154. C4×#4326C22semidirect
155. #10622635C22semidirect
156. #10622629C22semidirect
157. C4×#4323C22semidirect
158. #10622625C22semidirect
159. #10622484C22semidirect
160. #10622480C22semidirect
161. #10622480C22semidirect
162. #10622476C22semidirect
163. #10622460C22semidirect
164. #10622458C22semidirect
165. #10622448C22semidirect
166. #10622447C22semidirect
167. #10622430C22semidirect
168. #10622427C22semidirect
169. #10622426C22semidirect
170. #10622423C22semidirect
171. #10622423C22semidirect
172. #10622422C22semidirect
173. #10622419C22semidirect
174. #10622417C22semidirect
175. #10622417C22semidirect
176. D11×#103C22semidirect
177. #10622412C22semidirect
178. #10622410C22semidirect
179. #10622400C22semidirect
180. #10622398C22semidirect
181. #10622396C22semidirect
182. #10622396C22semidirect
183. #10622392C22semidirect
184. #10622392C22semidirect
185. #10622392C22semidirect
186. #10622391C22semidirect
187. #10622388C22semidirect
188. #10622388C22semidirect
189. D11×#102C22semidirect
190. #10622377C22semidirect
191. #10622348C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
194. #10622341C22semidirect
195. #10622341C22semidirect
196. D11×C22⋊C8C22semidirect
197. D11×C22⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. C8×D44C22semidirect
202. #10622298C22semidirect
751. #3275D11semidirect
913. C2×#137C2×D11semidirect
916. C2×AGL(1,ℤ/8)C2×D11semidirect
942. #546C2×D11semidirect
967. #495C2×D11semidirect
990. #470C2×D11semidirect
991. #469C2×D11semidirect
1007. #464C2×D11semidirect
1011. #463C2×D11semidirect
1029. #452C2×D11semidirect
1033. #450C2×D11semidirect
1043. #449C2×D11semidirect
1047. #448C2×D11semidirect
1058. C4×SD16C2×D11semidirect
1061. #436C2×D11semidirect
1688. C11#61606semidirect

Maximal subgroups

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

subgroupindex
#130824432
#130821052
#130808842
#130808342
#130807802
#130807522
#130807352
#130807072
#130805232
#130804732
#130803522
#130803222
#130802232
#130801802
#130801502
#130801392
#130801142
#130796522
#130795872
#130794522
#130794472
#130794062
#130793842
#130787242
#130786322
#130778642
#130778572
#130778332
D11×#4522
#130776482
C11×#32752
#6160611