Finite Group Databasebeta

← #15647339

Subgroups — #15647339

Order 2816.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083131C211yesmaximal, characteristic, complemented
2#13082663C211yesmaximal, characteristic, complemented
3#13081685C211yesmaximal, characteristic, complemented
4#13081680C211yesmaximal, characteristic, complemented
5#13081411C211yesmaximal, characteristic, complemented
6#13081407C211yesmaximal, characteristic, complemented
7#13080724C211yesmaximal, characteristic, complemented
8#13080722C211yesmaximal, characteristic, complemented
9#13080583C211yesmaximal, characteristic, complemented
10#13080572C211yesmaximal, characteristic, complemented
11#13080437C211yesmaximal, characteristic, complemented
12#13080435C211yesmaximal, characteristic, complemented
13#13080330C211yesmaximal, characteristic, complemented
14#13080318C211yesmaximal, characteristic, complemented
15#13080148C211yesmaximal, characteristic, complemented
16#13080138C211yesmaximal, characteristic, complemented
17#13080103C211yesmaximal, characteristic, complemented
18#13080102C211yesmaximal, characteristic, complemented
19#13080088C211yesmaximal, characteristic, complemented
20#13079931C211yesmaximal, characteristic, complemented
21#13079709C211yesmaximal, characteristic, complemented
22#13079704C211yesmaximal, characteristic, complemented
23#13079617C211yesmaximal, characteristic, complemented
24#13078900C211yesmaximal, characteristic, complemented
25#13078887C211yesmaximal, characteristic, complemented
26#13078709C211yesmaximal, characteristic, complemented
27#13078158C211yesmaximal, characteristic, complemented
28#13078157C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077753C211yesmaximal, characteristic, complemented
31C11×#3263C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic, complemented
33C11×#542C2211yescharacteristic, complemented
34C2×#66972C2211yescharacteristic, complemented
35C2×#66967C2211yescharacteristic, complemented
36C2×SD16×D11C2211yescharacteristic, complemented
37C2×D8×D11C2211yescharacteristic
38C2×#66961C2211yescharacteristic, complemented
39C2×#66957C2211yescharacteristic, complemented
40#10623264C2211yescharacteristic, complemented
41#10623261C2211yescharacteristic, complemented
42#10623258C2211yescharacteristic, complemented
43#10623256C2211yescharacteristic
44#10623239—21no—
45#10623236—21no—
46#10623235—21no—
47#10623235—21no—
48#10623214—21no—
49#10623210—21no—
50#10623208—21no—
51#10623207—21no—
52#10623207C2211yescharacteristic, complemented
53#10623205C2211yescharacteristic, complemented
54D11×#124C2211yescharacteristic
55#10623202C2211yescharacteristic, complemented
56#10623191—21no—
57#10623188—21no—
58#10623187—21no—
59#10623184—21no—
60#10623178—21no—
61#10623169—21no—
62#10623166C2211yescharacteristic, complemented
63#10623164C2211yescharacteristic
64#10623162C2211yescharacteristic, complemented
65#10623161—21no—
66#10623161C2211yescharacteristic, complemented
67D11×C22⋊Q8—21no—
68#10623143C2211yescharacteristic, complemented
69#10623143C2211yescharacteristic, complemented
70#10623142C2211yescharacteristic, complemented
71#10623140C2211yescharacteristic
72#10623116C2211yescharacteristic, complemented
73#10623109C2211yescharacteristic, complemented
74#10623107C2211yescharacteristic
75#10623105C2211yescharacteristic, complemented
76#10623092C2211yescharacteristic, complemented
77#10623090C2211yescharacteristic, complemented
78D4×D44C2211yescharacteristic
79C4×D4×D11C2211yescharacteristic, complemented
80#10623059C2211yescharacteristic
81#10623056C2211yescharacteristic, complemented
82#10623054C2211yescharacteristic, complemented
83C11×#476C2211yescharacteristic, complemented
84C11×#476C2211yescharacteristic, complemented
85C11×#475C2211yescharacteristic, complemented
86C11×#475C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#469C2211yescharacteristic
89C11×#465C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#464C2211yescharacteristic, complemented
93C11×#463C2211yescharacteristic, complemented
94C11×#463C2211yescharacteristic, complemented
95C11×#424C2211yescharacteristic, complemented
96#10622803C2211yescharacteristic, complemented
97#10622799C2211yescharacteristic, complemented
98#10622798C2211yescharacteristic, complemented
99#10622785C2211yescharacteristic, complemented
100#10622782C2211yescharacteristic
101#10622781C2211yescharacteristic, complemented
102#10622780C2211yescharacteristic, complemented
103#10622778C2211yescharacteristic, complemented
104#10622776C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic, complemented
106#10622767C2211yescharacteristic
107#10622766C2211yescharacteristic, complemented
108#10622746C2211yescharacteristic, complemented
109#10622740C2211yescharacteristic, complemented
110#10622740C2211yescharacteristic, complemented
111C2×#66885C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622707C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622701C2211yescharacteristic, complemented
117#10622697C2211yescharacteristic, complemented
118#10622672C2211yescharacteristic, complemented
119#10622671C2211yescharacteristic
120#10622670C2211yescharacteristic, complemented
121#10622667C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622659C2211yescharacteristic, complemented
125#10622656C2211yescharacteristic, complemented
126#10622650C2211yescharacteristic
127#10622650C2211yescharacteristic, complemented
128#10622649C2211yescharacteristic, complemented
129#10622647C2211yescharacteristic, complemented
130#10622643C2211yescharacteristic, complemented
131#10622641C2211yescharacteristic, complemented
132#10622640C2211yescharacteristic, complemented
133C4×#4325C2211yescharacteristic, complemented
134C4×#4324C2211yescharacteristic, complemented
135#10622629C2211yescharacteristic, complemented
136#10622628C2211yescharacteristic, complemented
137#10622627C2211yescharacteristic, complemented
138#10622613C2211yescharacteristic, complemented
139#10622483C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622483C2211yescharacteristic, complemented
142#10622482C2211yescharacteristic, complemented
143#10622482C2211yescharacteristic, complemented
144#10622482C2211yescharacteristic, complemented
145#10622481C2211yescharacteristic, complemented
146#10622477C2211yescharacteristic, complemented
147#10622477C2211yescharacteristic, complemented
148#10622477C2211yescharacteristic, complemented
149#10622476C2211yescharacteristic, complemented
150#10622476C2211yescharacteristic, complemented
151#10622476C2211yescharacteristic, complemented
152#10622475C2211yescharacteristic, complemented
153#10622467C2211yescharacteristic, complemented
154#10622465C2211yescharacteristic, complemented
155#10622461C2211yescharacteristic, complemented
156#10622461C2211yescharacteristic, complemented
157#10622458C2211yescharacteristic, complemented
158#10622458C2211yescharacteristic, complemented
159#10622457C2211yescharacteristic, complemented
160#10622457C2211yescharacteristic, complemented
161#10622456C2211yescharacteristic
162#10622456C2211yescharacteristic, complemented
163#10622453C2211yescharacteristic, complemented
164#10622452C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic, complemented
166#10622448C2211yescharacteristic, complemented
167#10622447C2211yescharacteristic, complemented
168D11×C4⋊C8C2211yescharacteristic, complemented
169#10622444C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622432C2211yescharacteristic, complemented
172#10622432C2211yescharacteristic, complemented
173#10622431C2211yescharacteristic, complemented
174#10622431C2211yescharacteristic, complemented
175#10622424C2211yescharacteristic
176#10622423C2211yescharacteristic, complemented
177#10622423C2211yescharacteristic, complemented
178#10622421C2211yescharacteristic, complemented
179#10622420C2211yescharacteristic, complemented
180#10622420C2211yescharacteristic, complemented
181#10622416C2211yescharacteristic, complemented
182D11×#103C2211yescharacteristic, complemented
183#10622408C2211yescharacteristic, complemented
184#10622408C2211yescharacteristic, complemented
185#10622402C2211yescharacteristic, complemented
186#10622401C2211yescharacteristic, complemented
187#10622400C2211yescharacteristic, complemented
188#10622400C2211yescharacteristic, complemented
189#10622399C2211yescharacteristic
190#10622398C2211yescharacteristic, complemented
191#10622398C2211yescharacteristic, complemented
192#10622395C2211yescharacteristic
193#10622391C2211yescharacteristic, complemented
194#10622389C2211yescharacteristic
195#10622389C2211yescharacteristic, complemented
196#10622386C2211yescharacteristic, complemented
197#10622386C2211yescharacteristic, complemented
198D11×#102C2211yescharacteristic
199D11×#102C2211yescharacteristic, complemented
200#10622380C2211yescharacteristic, complemented
201#10622378C2211yescharacteristic, complemented
202#10622373C2211yescharacteristic, complemented
203C2×#4343—21no—
204C2×#4343C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×Q8×D11—21no—
207C2×Q8×D11C2311yescharacteristic
208C2×#4341—21no—
209C2×D4×D11—21no—
210C2×D4×D11C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339C2311yescharacteristic
214C2×#4339C2311yescharacteristic
215C22×D44—21no—
216C22×D44C2311yescharacteristic
217C22×C4×D11—21no—
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C2×C11×M16C2311yescharacteristic
223C22×C8×C11C2311yescharacteristic
224C11×C4⋊Q8C2311yescharacteristic
225C11×C4⋊Q8C2311yescharacteristic
226C11×#126—21no—
227C11×#126—21no—
228C11×#124—21no—
229C11×#124—21no—
230C11×#124C2311yescharacteristic
231C11×#124C2311yescharacteristic
232C11×#123—21no—
233C11×#123—21no—
234C11×C22⋊Q8—21no—
235C11×C22⋊Q8—21no—
236C11×C22⋊Q8C2311yescharacteristic
237C11×C22⋊Q8C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#121C2311yescharacteristic
240C4×Q8×C11C2311yescharacteristic
241C4×Q8×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117C2311yescharacteristic
245#67000—21no—
246#67000—21no—
247#67000C2311yescharacteristic
248#67000C2311yescharacteristic
249#66999—21no—
250#66999—21no—
251#66999—21no—
252#66999—21no—
253#66999C2311yescharacteristic
254Q8×Dic11C2311yescharacteristic
255#66997C2311yescharacteristic
256C2×#4326C2311yescharacteristic
257C2×#4326C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262#66993C2311yescharacteristic
263#66991—21no—
264#66991—21no—
265#66991C2311yescharacteristic
266#66990—21no—
267#66990—21no—
268#66990—21no—
269#66989C2311yescharacteristic
270#66989C2311yescharacteristic
271#66988—21no—
272D4×Dic11C2311yescharacteristic
273C2×#4324C2311yescharacteristic
274C2×#4324C2311yescharacteristic
275C2×#4323C2311yescharacteristic
276C2×#4323C2311yescharacteristic
277C2×#4323C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279#66983—21no—
280#66982—21no—
281#66982—21no—
282C4×C22⋊D11—21no—
283C4×C22⋊D11—21no—
284C4×C22⋊D11C2311yescharacteristic
285C4×C22⋊D11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287#66977—21no—
288#66972—42no—
289#66967—42no—
290SD16×D11—42no—
291D8×D11—42no—
292#66961—42no—
293C2×Dic44C2311yescharacteristic
294#66957—42no—
295C2×D88C2311yescharacteristic
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×#4314C2311yescharacteristic
299C2×#4314C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4313C2311yescharacteristic
303C2×C8×D11C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305C2×C8×D11C2311yescharacteristic
306#66951—21no—
307#66951D411yescharacteristic
308#66950—21no—
309#66950—21no—
310#66950C2311yescharacteristic
311#66950C2311yescharacteristic
312#66950C2311yescharacteristic
313#66949—21no—
314#66949—21no—
315#66949—21no—
316#66949—21no—
317#66949D411yescharacteristic
318#66948—21no—
319#66948—21no—
320#66948—21no—
321#66948—21no—
322#66948—21no—
323#66948C2311yescharacteristic
324#66948C2311yescharacteristic
325#66948C2311yescharacteristic
326#66947—21no—
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66947—21no—
331#66947D411yescharacteristic
332#66946—21no—
333#66946—21no—
334#66946—21no—
335#66946—21no—
336#66946C2311yescharacteristic
337#66946C2311yescharacteristic
338#66946C2311yescharacteristic
339#66946C2311yescharacteristic
340#66946C2311yescharacteristic
341#66945—21no—
342C4⋊C4×D11—21no—
343C4⋊C4×D11—21no—
344C4⋊C4×D11—21no—
345C4⋊C4×D11C2311yescharacteristic
346C4⋊C4×D11C2311yescharacteristic
347#66943—21no—
348#66942—21no—
349#66942—21no—
350#66942D411yescharacteristic
351#66941C2311yescharacteristic
352#66941C2311yescharacteristic
353#66940C2311yescharacteristic
354#66938—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66938—21no—
359#66938D411yescharacteristic
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937D411yescharacteristic
367#66936—21no—
368#66936—21no—
369#66936—21no—
370#66936—21no—
371#66936—21no—
372#66936—21no—
373#66936D411yescharacteristic
374#66935—21no—
375#66935—21no—
376#66935—21no—
377#66935—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381#66935—21no—
382#66935—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387C22⋊C4×D11—21no—
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390C22⋊C4×D11—21no—
391C22⋊C4×D11—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394#66932—21no—
395#66932—21no—
396#66932—21no—
397#66932D411yescharacteristic
398#66931—21no—
399#66931—21no—
400#66931—21no—
401#66930—21no—
402#66928—21no—
403#66928—21no—
404#66928C2311yescharacteristic
405#66928C2311yescharacteristic
406#66927C2311yescharacteristic
407#66927C2311yescharacteristic
408C4×D44—21no—
409C4×D44—21no—
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414#66925—21no—
415#66925—21no—
416#66925C2311yescharacteristic
417C42×D11C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×#106C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×C4⋊C8C2311yescharacteristic
429C11×C4⋊C8C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442C22⋊(C11⋊C8)C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456#66879C2311yescharacteristic
457#66879C2311yescharacteristic
458#66879C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62018—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C2×Q8×C11—21no—
490C2×Q8×C11—21no—
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11C2411yescharacteristic
496C2×D4×C11C2411yescharacteristic
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11C2411yescharacteristic
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11C2×D411yescharacteristic
509C2×C22⋊D11C2×D411yescharacteristic
510C22×Dic11—21no—
511C22×Dic11—21no—
512#4343—22no—
513#4343—41no—
514#4343—41no—
515#4343—41no—
516#4343—82no—
517Q8×D11—41no—
518Q8×D11—41no—
519Q8×D11—82no—
520#4341—82no—
521D4×D11—22no—
522D4×D11—41no—
523D4×D11—41no—
524D4×D11—41no—
525D4×D11—41no—
526D4×D11—41no—
527D4×D11—82no—
528#4339—22no—
529#4339—41no—
530#4339—41no—
531#4339—41no—
532C2×D44—21no—
533C2×D44—21no—
534C2×D44—21no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—41no—
543C2×D44—41no—
544C2×D44—82no—
545C2×D44C2×D411yescharacteristic
546C2×D44C2411yescharacteristic
547C2×D44C2411yescharacteristic
548C2×D44C2411yescharacteristic
549C2×D44C2411yescharacteristic
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—82no—
565C2×C4×D11C2×D411yescharacteristic
566C2×C4×D11C2×D411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×C4×D11C2411yescharacteristic
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22C2×D411yescharacteristic
573C2×Dic22C2411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×Q16—41no—
576C11×SD16—41no—
577C11×SD16—41no—
578C11×D8—41no—
579C11×M16—41no—
580C2×C8×C11—41no—
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C11×C22⋊C4—21no—
607C11×C22⋊C4C2×D411yescharacteristic
608C11×C22⋊C4C2×D411yescharacteristic
609C42×C11—21no—
610C42×C11—21no—
611C42×C11C2411yescharacteristic
612C42×C11C2411yescharacteristic
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11C2×D411yescharacteristic
620C22⋊Dic11C2×D411yescharacteristic
621#4326—41no—
622#4326—41no—
623#4325—22no—
624#4325—41no—
625#4325—41no—
626#4325—41no—
627#4324—41no—
628#4324—41no—
629#4323—22no—
630#4323—41no—
631#4323—41no—
632#4323—41no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660(C2×D11)⋊C4C2×D411yescharacteristic
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11C2×D411yescharacteristic
667C4⋊Dic11C2×D411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11C2×D411yescharacteristic
691C4×Dic11C2×D411yescharacteristic
692C4×Dic11C2411yescharacteristic
693C4×Dic11C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698Dic44—41no—
699D88—22no—
700D88—22no—
701D88—22no—
702#4314—22no—
703#4314—41no—
704#4314—41no—
705#4314—41no—
706#4313—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3558—111no—
711#3520—111no—
712#3401—111no—
713#3401—111no—
714#3373—111no—
715#3373—111no—
716#3316—111no—
717#3316—111no—
718#3306—111no—
719#3306—111no—
720#3295—111no—
721#3295—111no—
722#3282—111no—
723#3282—111no—
724#3267—111no—
725#3267—111no—
726#3264—111no—
727#3264—111no—
728#3263—111no—
729#3263D1111yescharacteristic, complemented
730#3246—111no—
731#3224—111no—
732#3224—111no—
733#3215—111no—
734#3125—111no—
735#3125—111no—
736#3109—111no—
737#3045—111no—
738#3045—111no—
739C2×#463—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11C22×D411yescharacteristic
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—42no—
749C22×D11—42no—
750C22×D11—42no—
751C22×D11—81no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11—81no—
760C22×D11C22×D411yescharacteristic
761C22×D11C22×D411yescharacteristic
762Q8×C11—21no—
763Q8×C11—21no—
764Q8×C11—21no—
765Q8×C11—21no—
766Q8×C11—81no—
767Q8×C11—81no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—81no—
773D4×C11—81no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—81no—
783C2×C4×C11—81no—
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C22×D411yescharacteristic
789C2×C4×C11C2511yescharacteristic
790C22⋊D11—22no—
791C22⋊D11—41no—
792C22⋊D11—42no—
793C22⋊D11—42no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—42no—
805C2×Dic11—81no—
806C2×Dic11C22×D411yescharacteristic
807C2×Dic11C22×D411yescharacteristic
808C2×Dic11C22×D411yescharacteristic
809C2×Dic11C22×D411yescharacteristic
810C2×Dic11C22×D411yescharacteristic
811C2×Dic11C22×D411yescharacteristic
812D44—22no—
813D44—21no—
814D44—21no—
815D44—21no—
816D44—21no—
817D44—21no—
818D44—21no—
819D44—21no—
820D44—42no—
821D44—42no—
822D44—42no—
823D44—81no—
824D44—81no—
825D44—81no—
826D44—81no—
827D44—81no—
828D44—81no—
829D44—81no—
830D44H(5,𝔽2)12yes—
831C4×D11—22no—
832C4×D11—21no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—41no—
837C4×D11—42no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850C4×D11—81no—
851Dic22—21no—
852Dic22—21no—
853Dic22—21no—
854Dic22—21no—
855Dic22—41no—
856Dic22—42no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C2×#135—111no—
870C2×#135—111no—
871C22×SD16—111no—
872C22×D8—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#556—111no—
878#554—111no—
879#554—111no—
880#552—221no—
881#551—221no—
882#551—221no—
883D4×Q8—111no—
884#548—111no—
885#548—111no—
886#548—221no—
887#547—111no—
888#547—111no—
889#546—111no—
890#546—111no—
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542C2×D1111yescharacteristic, complemented
900#542C2×D1111yescharacteristic, complemented
901#539—221no—
902#539—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535—111no—
908#534—221no—
909#533—111no—
910#532—111no—
911#529—111no—
912C2×#124—111no—
913#525—221no—
914C2×C22⋊Q8—221no—
915#520—111no—
916#520—111no—
917C2×C4×D4—111no—
918#497—111no—
919#497—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489—111no—
927#489—111no—
928#486—111no—
929#486—111no—
930#483—111no—
931#483—111no—
932#481—111no—
933#481—111no—
934#481—111no—
935#481—111no—
936#476—111no—
937#476—111no—
938#476—111no—
939#476—111no—
940#476C2×D1111yescharacteristic, complemented
941#476C2×D1111yescharacteristic, complemented
942#475—111no—
943#475—111no—
944#475C2×D1111yescharacteristic, complemented
945#475C2×D1111yescharacteristic, complemented
946#470—111no—
947#470C2×D1111yescharacteristic, complemented
948#469—111no—
949#469C2×D1111yescharacteristic
950#465—111no—
951#465—111no—
952#465—111no—
953#465—111no—
954#465—111no—
955#465—111no—
956#465C2×D1111yescharacteristic, complemented
957#465C2×D1111yescharacteristic, complemented
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464C2×D1111yescharacteristic, complemented
965#464C2×D1111yescharacteristic, complemented
966#463—111no—
967#463—111no—
968#463—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463C2×D1111yescharacteristic, complemented
977#463C2×D1111yescharacteristic, complemented
978#461—111no—
979#461—111no—
980#460—111no—
981#460—111no—
982#460—111no—
983#460—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#459—111no—
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#451—111no—
993#451—111no—
994#450—111no—
995#450—111no—
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446—111no—
1008#442—111no—
1009#442—111no—
1010#442—111no—
1011#442—111no—
1012#442—111no—
1013#442—111no—
1014#441—111no—
1015#441—111no—
1016C4×SD16—111no—
1017C4×SD16—111no—
1018C4×SD16—111no—
1019C4×SD16—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424C2×D1111yescharacteristic, complemented
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417—111no—
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102—111no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11C23×D411yescharacteristic
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—21no—
1051C2×D11—22no—
1052C2×D11—21no—
1053C2×D11—21no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—84no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11—162no—
1069C2×D11#57712yes—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11C2×H(5,𝔽2)11yescharacteristic
1082C4×C11#58511yescharacteristic
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—21no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—111no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C22×Q8—111no—
1100C22×Q8—221no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—221no—
1106C22×D4—221no—
1107C23×C4—221no—
1108AGL(1,ℤ/8)—442no—
1109AGL(1,ℤ/8)—442no—
1110#135—442no—
1111#135—442no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—111no—
1115C2×Q16C22×D1111yescharacteristic
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—111no—
1125C2×SD16—111no—
1126C2×SD16—442no—
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—442no—
1137C2×D8C22×D1111yescharacteristic
1138C2×M16—111no—
1139C2×M16C22×D1111yescharacteristic
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C22×C8C22×D1111yescharacteristic
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8C22×D1111yescharacteristic
1148C4⋊Q8C22×D1111yescharacteristic
1149#127—111no—
1150#127—111no—
1151#127—111no—
1152#126—21no—
1153#126—21no—
1154#126—111no—
1155#126—111no—
1156#126—221no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#125—111no—
1161#125—221no—
1162#125—221no—
1163#125—221no—
1164#124—21no—
1165#124—21no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—111no—
1172#124—111no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124C22×D1111yescharacteristic
1183#124C22×D1111yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—111no—
1187#123—111no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—111no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8—221no—
1223C22⋊Q8C22×D1111yescharacteristic
1224C22⋊Q8C22×D1111yescharacteristic
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121C22×D1111yescharacteristic
1245#121C22×D1111yescharacteristic
1246#120—221no—
1247#120—221no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—221no—
1264C4×Q8C22×D1111yescharacteristic
1265C4×Q8C22×D1111yescharacteristic
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4C22×D1111yescharacteristic
1291C4×D4C22×D1111yescharacteristic
1292#117—111no—
1293#117—221no—
1294#117—221no—
1295#117—221no—
1296#117—221no—
1297#117C22×D1111yescharacteristic
1298C2×C4⋊C4—111no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4—221no—
1304C2×C22⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C42—111no—
1312#106—111no—
1313#106—111no—
1314#106—111no—
1315#106—111no—
1316#106C22×D1111yescharacteristic
1317#106C22×D1111yescharacteristic
1318#106C22×D1111yescharacteristic
1319#106C22×D1111yescharacteristic
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8C22×D1111yescharacteristic
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329C4⋊C8C22×D1111yescharacteristic
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103C22×D1111yescharacteristic
1339#103C22×D1111yescharacteristic
1340#103C22×D1111yescharacteristic
1341#103C22×D1111yescharacteristic
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102—111no—
1356#102—111no—
1357#102—111no—
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361#102C22×D1111yescharacteristic
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8—111no—
1367C22⋊C8—111no—
1368#97—111no—
1369#97—111no—
1370#97—111no—
1371#97—111no—
1372C4×C8—111no—
1373C4×C8—111no—
1374C2×C11—41no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11#348811yescharacteristic
1378C2×C11C2×#57711yescharacteristic
1379C2×C11#358511yescharacteristic
1380D11—22no—
1381D11—41no—
1382D11—42no—
1383D11—81no—
1384D11—81no—
1385D11—81no—
1386C24—221no—
1387C24—221no—
1388C24—221no—
1389C24—221no—
1390#41—222no—
1391#41—222no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—441no—
1397#41—441no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—21no—
1402C2×Q8—111no—
1403C2×Q8—111no—
1404C2×Q8—111no—
1405C2×Q8—221no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—441no—
1409C2×Q8—441no—
1410C2×Q8—882no—
1411C2×Q8C23×D1111yescharacteristic
1412C2×Q8C23×D1111yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—111no—
1416C2×D4—111no—
1417C2×D4—111no—
1418C2×D4—111no—
1419C2×D4—111no—
1420C2×D4—111no—
1421C2×D4—111no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—222no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—882no—
1449C2×D4—882no—
1450C2×D4C23×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—111no—
1455C22×C4—111no—
1456C22×C4—111no—
1457C22×C4—111no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—882no—
1475C22×C4C23×D1111yescharacteristic
1476Q16—41no—
1477Q16—441no—
1478Q16—441no—
1479Q16—441no—
1480SD16—41no—
1481SD16—41no—
1482SD16—222no—
1483SD16—222no—
1484SD16—441no—
1485SD16—441no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492D8—41no—
1493D8—222no—
1494D8—222no—
1495D8—222no—
1496D8—222no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500M16—41no—
1501M16—441no—
1502C2×C8—41no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8C23×D1111yescharacteristic
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4D4×D1111yescharacteristic
1546C4⋊C4D4×D1111yescharacteristic
1547C4⋊C4C23×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C4⋊C4C23×D1111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
1567C22⋊C4—111no—
1568C22⋊C4—111no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4D4×D1111yescharacteristic
1598C22⋊C4D4×D1111yescharacteristic
1599C42—21no—
1600C42—21no—
1601C42—111no—
1602C42—111no—
1603C42—111no—
1604C42—111no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42—221no—
1609C42C23×D1111yescharacteristic
1610C42C23×D1111yescharacteristic
1611C11#6201811yescharacteristic, complemented, Sylow
1612C23—21no—
1613C23—21no—
1614C23—111no—
1615C23—111no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—442no—
1621C23—442no—
1622C23—442no—
1623C23—881no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629C23—881no—
1630C23—881no—
1631C23—881no—
1632C23C2×D4×D1111yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—81no—
1638Q8—81no—
1639Q8—221no—
1640Q8—221no—
1641Q8—221no—
1642Q8—221no—
1643Q8—441no—
1644Q8—442no—
1645Q8—881no—
1646Q8—881no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—81no—
1652D4—81no—
1653D4—112no—
1654D4—222no—
1655D4—222no—
1656D4—221no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—221no—
1661D4—221no—
1662D4—221no—
1663D4—442no—
1664D4—442no—
1665D4—442no—
1666D4—441no—
1667D4—442no—
1668D4—442no—
1669D4—881no—
1670D4—881no—
1671D4—881no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—111no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—111no—
1697C2×C4—111no—
1698C2×C4—222no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—441no—
1708C2×C4—442no—
1709C2×C4—442no—
1710C2×C4—442no—
1711C2×C4—442no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4—881no—
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C2×D4×D1111yescharacteristic
1729C2×C4C24×D1111yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C8—221no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—112no—
1748C22—221no—
1749C22—221no—
1750C22—221no—
1751C22—221no—
1752C22—222no—
1753C22—221no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—884no—
1766C22—1762no—
1767C22—1762no—
1768C22—1762no—
1769C22C22×D4×D1111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—221no—
1782C4—221no—
1783C4—221no—
1784C4—221no—
1785C4—221no—
1786C4—221no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4D11×H(5,𝔽2)11yescharacteristic
1792C4#1062345711yescharacteristic
1793C2—41no—
1794C2—81no—
1795C2—81no—
1796C2—222no—
1797C2—441no—
1798C2—442no—
1799C2—881no—
1800C2—881no—
1801C2—881no—
1802C2#1308228011yescharacteristic
1803C2D11×#57711yescharacteristic
1804C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3263C2
socleC22×C11C23×D4
hypercenter#3263D11
hypocenterC11#62018
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3263

Complements

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

NH ≅ G/Ntype
1. #13083131C2semidirect
2. #13082663C2semidirect
3. #13081685C2semidirect
4. #13081680C2semidirect
5. #13081411C2semidirect
6. #13081407C2semidirect
7. #13080724C2semidirect
8. #13080722C2semidirect
9. #13080583C2semidirect
10. #13080572C2semidirect
11. #13080437C2semidirect
12. #13080435C2semidirect
13. #13080330C2semidirect
14. #13080318C2semidirect
15. #13080148C2semidirect
16. #13080138C2semidirect
17. #13080103C2semidirect
18. #13080102C2semidirect
19. #13080088C2semidirect
20. #13079931C2semidirect
21. #13079709C2semidirect
22. #13079704C2semidirect
23. #13079617C2semidirect
24. #13078900C2semidirect
25. #13078887C2semidirect
26. #13078709C2semidirect
27. #13078158C2semidirect
28. #13078157C2semidirect
29. D11×#463C2semidirect
30. #13077753C2semidirect
31. C11×#3263C2semidirect
32. C11×#542C22semidirect
33. C11×#542C22semidirect
34. C2×#66972C22semidirect
35. C2×#66967C22semidirect
36. C2×SD16×D11C22semidirect
38. C2×#66961C22semidirect
39. C2×#66957C22semidirect
40. #10623264C22semidirect
41. #10623261C22semidirect
42. #10623258C22semidirect
52. #10623207C22semidirect
53. #10623205C22semidirect
55. #10623202C22semidirect
62. #10623166C22semidirect
64. #10623162C22semidirect
66. #10623161C22semidirect
68. #10623143C22semidirect
69. #10623143C22semidirect
70. #10623142C22semidirect
72. #10623116C22semidirect
73. #10623109C22semidirect
75. #10623105C22semidirect
76. #10623092C22semidirect
77. #10623090C22semidirect
79. C4×D4×D11C22semidirect
81. #10623056C22semidirect
82. #10623054C22semidirect
83. C11×#476C22semidirect
84. C11×#476C22semidirect
85. C11×#475C22semidirect
86. C11×#475C22semidirect
87. C11×#470C22semidirect
89. C11×#465C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
92. C11×#464C22semidirect
93. C11×#463C22semidirect
94. C11×#463C22semidirect
95. C11×#424C22semidirect
96. #10622803C22semidirect
97. #10622799C22semidirect
98. #10622798C22semidirect
99. #10622785C22semidirect
101. #10622781C22semidirect
102. #10622780C22semidirect
103. #10622778C22semidirect
104. #10622776C22semidirect
105. #10622769C22semidirect
107. #10622766C22semidirect
108. #10622746C22semidirect
109. #10622740C22semidirect
110. #10622740C22semidirect
111. C2×#66885C22semidirect
112. #10622724C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622707C22semidirect
115. #10622702C22semidirect
116. #10622701C22semidirect
117. #10622697C22semidirect
118. #10622672C22semidirect
120. #10622670C22semidirect
121. #10622667C22semidirect
122. #10622660C22semidirect
123. #10622660C22semidirect
124. #10622659C22semidirect
125. #10622656C22semidirect
127. #10622650C22semidirect
128. #10622649C22semidirect
129. #10622647C22semidirect
130. #10622643C22semidirect
131. #10622641C22semidirect
132. #10622640C22semidirect
133. C4×#4325C22semidirect
134. C4×#4324C22semidirect
135. #10622629C22semidirect
136. #10622628C22semidirect
137. #10622627C22semidirect
138. #10622613C22semidirect
139. #10622483C22semidirect
140. #10622483C22semidirect
141. #10622483C22semidirect
142. #10622482C22semidirect
143. #10622482C22semidirect
144. #10622482C22semidirect
145. #10622481C22semidirect
146. #10622477C22semidirect
147. #10622477C22semidirect
148. #10622477C22semidirect
149. #10622476C22semidirect
150. #10622476C22semidirect
151. #10622476C22semidirect
152. #10622475C22semidirect
153. #10622467C22semidirect
154. #10622465C22semidirect
155. #10622461C22semidirect
156. #10622461C22semidirect
157. #10622458C22semidirect
158. #10622458C22semidirect
159. #10622457C22semidirect
160. #10622457C22semidirect
162. #10622456C22semidirect
163. #10622453C22semidirect
164. #10622452C22semidirect
165. #10622449C22semidirect
166. #10622448C22semidirect
167. #10622447C22semidirect
168. D11×C4⋊C8C22semidirect
169. #10622444C22semidirect
170. #10622441C22semidirect
171. #10622432C22semidirect
172. #10622432C22semidirect
173. #10622431C22semidirect
174. #10622431C22semidirect
176. #10622423C22semidirect
177. #10622423C22semidirect
178. #10622421C22semidirect
179. #10622420C22semidirect
180. #10622420C22semidirect
181. #10622416C22semidirect
182. D11×#103C22semidirect
183. #10622408C22semidirect
184. #10622408C22semidirect
185. #10622402C22semidirect
186. #10622401C22semidirect
187. #10622400C22semidirect
188. #10622400C22semidirect
190. #10622398C22semidirect
191. #10622398C22semidirect
193. #10622391C22semidirect
195. #10622389C22semidirect
196. #10622386C22semidirect
197. #10622386C22semidirect
199. D11×#102C22semidirect
200. #10622380C22semidirect
201. #10622378C22semidirect
202. #10622373C22semidirect
729. #3263D11semidirect
899. #542C2×D11semidirect
900. #542C2×D11semidirect
940. #476C2×D11semidirect
941. #476C2×D11semidirect
944. #475C2×D11semidirect
945. #475C2×D11semidirect
947. #470C2×D11semidirect
956. #465C2×D11semidirect
957. #465C2×D11semidirect
964. #464C2×D11semidirect
965. #464C2×D11semidirect
976. #463C2×D11semidirect
977. #463C2×D11semidirect
1030. #424C2×D11semidirect
1611. C11#62018semidirect

Maximal subgroups

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

subgroupindex
#130831312
#130826632
#130816852
#130816802
#130814112
#130814072
#130807242
#130807222
#130805832
#130805722
#130804372
#130804352
#130803302
#130803182
#130801482
#130801382
#130801032
#130801022
#130800882
#130799312
#130797092
#130797042
#130796172
#130789002
#130788872
#130787092
#130781582
#130781572
D11×#4632
#130777532
C11×#32632
#6201811