Finite Group Databasebeta

← #15649273

Subgroups — #15649273

Order 2816.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083125C211yesmaximal, characteristic, complemented
2#13082617C211yesmaximal, characteristic, complemented
3#13081661C211yesmaximal, characteristic, complemented
4#13081655C211yesmaximal, characteristic, complemented
5#13081389C211yesmaximal, characteristic, complemented
6#13081381C211yesmaximal, characteristic, complemented
7#13080864C211yesmaximal, characteristic, complemented
8#13080862C211yesmaximal, characteristic, complemented
9#13080763C211yesmaximal, characteristic, complemented
10#13080761C211yesmaximal, characteristic, complemented
11#13080579C211yesmaximal, characteristic, complemented
12#13080577C211yesmaximal, characteristic, complemented
13#13080230C211yesmaximal, characteristic, complemented
14#13080229C211yesmaximal, characteristic, complemented
15#13080205C211yesmaximal, characteristic, complemented
16#13080201C211yesmaximal, characteristic, complemented
17#13080157C211yesmaximal, characteristic, complemented
18#13080022C211yesmaximal, characteristic, complemented
19#13080020C211yesmaximal, characteristic, complemented
20#13079995C211yesmaximal, characteristic, complemented
21#13079664C211yesmaximal, characteristic, complemented
22#13079662C211yesmaximal, characteristic, complemented
23#13079598C211yesmaximal, characteristic, complemented
24#13078894C211yesmaximal, characteristic, complemented
25#13078886C211yesmaximal, characteristic, complemented
26#13078765C211yesmaximal, characteristic, complemented
27#13078159C211yesmaximal, characteristic, complemented
28#13078153C211yesmaximal, characteristic, complemented
29#13078107C211yesmaximal, characteristic, complemented
30#13077782C211yesmaximal, characteristic, complemented
31C11×#3268C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×C11×#135C2211yescharacteristic, complemented
34C11×#550C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623365C2211yescharacteristic, complemented
37#10623365C2211yescharacteristic, complemented
38#10623362C2211yescharacteristic
39#10623361C2211yescharacteristic
40#10623358C2211yescharacteristic, complemented
41#10623358C2211yescharacteristic, complemented
42C2×#67003C2211yescharacteristic, complemented
43C2×#67002C2211yescharacteristic, complemented
44#10623336C2211yescharacteristic
45D4×C22⋊D11C2211yescharacteristic
46C2×#66971C2211yescharacteristic, complemented
47C2×#66967C2211yescharacteristic
48#10623249—21no—
49#10623249C2211yescharacteristic, complemented
50#10623247—21no—
51#10623247C2211yescharacteristic, complemented
52#10623212C2211yescharacteristic
53D11×#124C2211yescharacteristic
54#10623198—21no—
55#10623188—21no—
56#10623174C2211yescharacteristic
57#10623164C2211yescharacteristic
58#10623150—21no—
59#10623150—21no—
60#10623150C2211yescharacteristic, complemented
61#10623150C2211yescharacteristic, complemented
62#10623149—21no—
63#10623149—21no—
64#10623149C2211yescharacteristic, complemented
65#10623149C2211yescharacteristic, complemented
66#10623144—21no—
67#10623143—21no—
68#10623140C2211yescharacteristic
69#10623134C2211yescharacteristic
70#10623125—21no—
71#10623120—21no—
72C4×#4343C2211yescharacteristic, complemented
73#10623101C2211yescharacteristic, complemented
74#10623090C2211yescharacteristic
75#10623088—21no—
76#10623088C2211yescharacteristic
77#10623086—21no—
78#10623086C2211yescharacteristic, complemented
79#10623081C2211yescharacteristic
80#10623079C2211yescharacteristic
81#10623025—21no—
82#10623021—21no—
83C11×#496C2211yescharacteristic, complemented
84C11×#468C2211yescharacteristic, complemented
85C11×#466C2211yescharacteristic
86C11×#464C2211yescharacteristic, complemented
87C11×#459C2211yescharacteristic, complemented
88C11×#452C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic
90C11×#449C2211yescharacteristic, complemented
91C11×#447C2211yescharacteristic, complemented
92C11×#440C2211yescharacteristic, complemented
93C11×#435C2211yescharacteristic, complemented
94#10622852C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic
96#10622851C2211yescharacteristic, complemented
97#10622845C2211yescharacteristic, complemented
98#10622830C2211yescharacteristic, complemented
99C2×#66896C2211yescharacteristic, complemented
100#10622798C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102#10622797C2211yescharacteristic, complemented
103#10622789C2211yescharacteristic, complemented
104#10622785C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic, complemented
106#10622783C2211yescharacteristic, complemented
107#10622779C2211yescharacteristic, complemented
108#10622779C2211yescharacteristic, complemented
109#10622778C2211yescharacteristic, complemented
110#10622778C2211yescharacteristic, complemented
111#10622778C2211yescharacteristic, complemented
112#10622776C2211yescharacteristic
113#10622776C2211yescharacteristic
114#10622776C2211yescharacteristic, complemented
115#10622776C2211yescharacteristic, complemented
116SD16×Dic11C2211yescharacteristic, complemented
117SD16×Dic11C2211yescharacteristic, complemented
118#10622772C2211yescharacteristic, complemented
119#10622772C2211yescharacteristic, complemented
120#10622769C2211yescharacteristic
121#10622769C2211yescharacteristic
122#10622767C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622766C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622765C2211yescharacteristic, complemented
127#10622764C2211yescharacteristic
128#10622764C2211yescharacteristic
129#10622763C2211yescharacteristic
130#10622763C2211yescharacteristic
131#10622763C2211yescharacteristic, complemented
132#10622763C2211yescharacteristic, complemented
133#10622763C2211yescharacteristic, complemented
134#10622748C2211yescharacteristic
135#10622746C2211yescharacteristic, complemented
136#10622741C2211yescharacteristic, complemented
137#10622732C2211yescharacteristic, complemented
138#10622727C2211yescharacteristic, complemented
139C2×#66885C2211yescharacteristic, complemented
140#10622724C2211yescharacteristic, complemented
141#10622715C2211yescharacteristic, complemented
142#10622687C2211yescharacteristic, complemented
143#10622685C2211yescharacteristic, complemented
144#10622670C2211yescharacteristic, complemented
145#10622668C2211yescharacteristic, complemented
146#10622661C2211yescharacteristic, complemented
147#10622656C2211yescharacteristic, complemented
148#10622655C2211yescharacteristic, complemented
149#10622652C2211yescharacteristic
150#10622651C2211yescharacteristic
151#10622650C2211yescharacteristic, complemented
152#10622649C2211yescharacteristic, complemented
153#10622647C2211yescharacteristic
154#10622641C2211yescharacteristic, complemented
155#10622639C2211yescharacteristic, complemented
156#10622627C2211yescharacteristic, complemented
157#10622624C2211yescharacteristic, complemented
158#10622621C2211yescharacteristic, complemented
159#10622504C2211yescharacteristic, complemented
160#10622503C2211yescharacteristic, complemented
161#10622498C2211yescharacteristic, complemented
162#10622490C2211yescharacteristic, complemented
163#10622457C2211yescharacteristic, complemented
164#10622455C2211yescharacteristic, complemented
165#10622450C2211yescharacteristic, complemented
166#10622441C2211yescharacteristic, complemented
167#10622432C2211yescharacteristic, complemented
168#10622424C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170#10622413C2211yescharacteristic, complemented
171#10622412C2211yescharacteristic, complemented
172#10622404C2211yescharacteristic, complemented
173#10622402C2211yescharacteristic, complemented
174#10622401C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622399C2211yescharacteristic, complemented
177#10622399C2211yescharacteristic, complemented
178#10622398C2211yescharacteristic, complemented
179#10622395C2211yescharacteristic, complemented
180#10622395C2211yescharacteristic, complemented
181#10622392C2211yescharacteristic, complemented
182#10622383C2211yescharacteristic
183#10622381C2211yescharacteristic, complemented
184#10622377C2211yescharacteristic
185#10622377C2211yescharacteristic
186#10622376C2211yescharacteristic, complemented
187#10622375C2211yescharacteristic, complemented
188#10622374C2211yescharacteristic, complemented
189#10622374C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622348C2211yescharacteristic
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622334C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622333C2211yescharacteristic, complemented
199#10622327C2211yescharacteristic, complemented
200#10622324C2211yescharacteristic, complemented
201#10622318C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208C2×#4343C2311yescharacteristic
209C2×Q8×D11C2311yescharacteristic
210C2×#4341—21no—
211C2×#4341—21no—
212C2×#4341—21no—
213C2×D4×D11—21no—
214C2×D4×D11C2311yescharacteristic
215C2×#4339—21no—
216C2×#4339C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C11×AGL(1,ℤ/8)—42no—
219C11×#135—42no—
220C2×C11×Q16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C2×C11×D8C2311yescharacteristic
229C2×C11×M16C2311yescharacteristic
230C22×C8×C11C2311yescharacteristic
231C11×#127—21no—
232C11×#127C2311yescharacteristic
233C11×#124C2311yescharacteristic
234C11×#123—21no—
235C11×C22⋊Q8C2311yescharacteristic
236C11×#121—21no—
237C11×#121—21no—
238C11×#121—21no—
239C11×#121C2311yescharacteristic
240C11×#121C2311yescharacteristic
241C11×#121C2311yescharacteristic
242C11×#120—21no—
243C4×Q8×C11C2311yescharacteristic
244C4×D4×C11—21no—
245C4×D4×C11C2311yescharacteristic
246C4×D4×C11C2311yescharacteristic
247C2×C11×C22⋊C4—21no—
248#67006—21no—
249#67006—21no—
250#67006—21no—
251#67003—42no—
252#67002—42no—
253#67000C2311yescharacteristic
254#67000C2311yescharacteristic
255Q8×Dic11C2311yescharacteristic
256Q8×Dic11C2311yescharacteristic
257Q8×Dic11C2311yescharacteristic
258Q8×Dic11C2311yescharacteristic
259C2×#4326C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262C2×#4325C2311yescharacteristic
263#66993—21no—
264#66993—21no—
265#66993C2311yescharacteristic
266#66993C2311yescharacteristic
267#66993C2311yescharacteristic
268#66993C2311yescharacteristic
269#66993C2311yescharacteristic
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66991—21no—
278#66991—21no—
279#66991—21no—
280#66991—21no—
281#66991—21no—
282#66991—21no—
283#66991—21no—
284#66991—21no—
285#66991—21no—
286#66991D411yescharacteristic
287#66991C2311yescharacteristic
288#66991C2311yescharacteristic
289#66991C2311yescharacteristic
290#66990—21no—
291#66990—21no—
292#66990—21no—
293#66990—21no—
294#66990—21no—
295#66989—21no—
296#66989—21no—
297#66989—21no—
298#66989D411yescharacteristic
299#66989C2311yescharacteristic
300#66989C2311yescharacteristic
301#66988—21no—
302D4×Dic11—21no—
303D4×Dic11—21no—
304D4×Dic11—21no—
305D4×Dic11—21no—
306D4×Dic11—21no—
307D4×Dic11—21no—
308D4×Dic11—21no—
309D4×Dic11C2311yescharacteristic
310D4×Dic11C2311yescharacteristic
311D4×Dic11C2311yescharacteristic
312D4×Dic11C2311yescharacteristic
313D4×Dic11C2311yescharacteristic
314C2×#4324C2311yescharacteristic
315C2×#4324C2311yescharacteristic
316C2×#4323C2311yescharacteristic
317C2×#4323C2311yescharacteristic
318C2×#4323C2311yescharacteristic
319C2×#4323C2311yescharacteristic
320C2×#4323C2311yescharacteristic
321C2×#4323C2311yescharacteristic
322#66983—21no—
323#66983—21no—
324#66983—21no—
325#66983—21no—
326#66983C2311yescharacteristic
327#66983C2311yescharacteristic
328#66983C2311yescharacteristic
329#66982—21no—
330C4×C22⋊D11—21no—
331C4×C22⋊D11—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11C2311yescharacteristic
336C4×C22⋊D11C2311yescharacteristic
337#66979—21no—
338#66979—21no—
339#66979C2311yescharacteristic
340#66979C2311yescharacteristic
341C2×C4⋊Dic11—21no—
342C2×C4⋊Dic11—21no—
343C2×C4⋊Dic11C2311yescharacteristic
344C2×C4⋊Dic11C2311yescharacteristic
345#66977—21no—
346#66977C2311yescharacteristic
347C2×#4318C2311yescharacteristic
348C22×C11⋊C8C2311yescharacteristic
349#66971—42no—
350#66967—42no—
351C2×D88C2311yescharacteristic
352C2×D88C2311yescharacteristic
353C2×#4314C2311yescharacteristic
354C2×#4313C2311yescharacteristic
355C2×#4313C2311yescharacteristic
356#66951—21no—
357#66950—21no—
358#66950—21no—
359#66950D411yescharacteristic
360#66949—21no—
361#66948C2311yescharacteristic
362#66947—21no—
363#66946—21no—
364#66946—21no—
365#66946C2311yescharacteristic
366#66946C2311yescharacteristic
367#66945—21no—
368#66945C2311yescharacteristic
369#66943—21no—
370#66943—21no—
371#66943D411yescharacteristic
372#66943C2311yescharacteristic
373#66943C2311yescharacteristic
374#66941C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66939—21no—
380#66939—21no—
381#66939—21no—
382#66939—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936D411yescharacteristic
400#66936D411yescharacteristic
401#66935—21no—
402(C22⋊D11)⋊C4—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406#66932—21no—
407#66932—21no—
408#66932—21no—
409#66932D411yescharacteristic
410#66932D411yescharacteristic
411#66931—21no—
412#66928C2311yescharacteristic
413C4×D44—21no—
414C4×D44C2311yescharacteristic
415C4×D44C2311yescharacteristic
416C42×D11—21no—
417C42×D11C2311yescharacteristic
418#66922—21no—
419#66922C2311yescharacteristic
420C4×Dic22—21no—
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×C22⋊C8C2311yescharacteristic
431C11×C22⋊C8C2311yescharacteristic
432C11×#97C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445C22⋊(C11⋊C8)C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66881C2311yescharacteristic
457#66881C2311yescharacteristic
458#66881C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66879C2311yescharacteristic
463#66879C2311yescharacteristic
464Dic11⋊C8C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472C8×Dic11C2311yescharacteristic
473C8×Dic11C2311yescharacteristic
474#66874C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483#66867C2311yescharacteristic
484#62093—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C11×#41—22no—
489C11×#41—22no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—41no—
493C11×#41—41no—
494C2×Q8×C11C2411yescharacteristic
495C2×Q8×C11C2411yescharacteristic
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—41no—
506C2×D4×C11—41no—
507C2×D4×C11C2×D411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11C2411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
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—82no—
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546#4343—22no—
547#4343—41no—
548Q8×D11—41no—
549Q8×D11—41no—
550#4341—82no—
551#4341—82no—
552#4341—82no—
553D4×D11—41no—
554D4×D11—41no—
555D4×D11—82no—
556#4339—41no—
557#4339—41no—
558#4339—82no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—41no—
563C2×D44—41no—
564C2×D44C2411yescharacteristic
565C2×D44C2411yescharacteristic
566C2×D44C2411yescharacteristic
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11C2×D411yescharacteristic
575C2×C4×D11C2×D411yescharacteristic
576C2×C4×D11C2411yescharacteristic
577C2×Dic22—21no—
578C2×Dic22—21no—
579C2×Dic22—21no—
580C2×Dic22C2×D411yescharacteristic
581C2×Dic22C2411yescharacteristic
582C11×Q16—22no—
583C11×SD16—22no—
584C11×SD16—22no—
585C11×SD16—41no—
586C11×SD16—41no—
587C11×D8—41no—
588C11×D8—41no—
589C11×D8—41no—
590C11×D8—41no—
591C11×M16—41no—
592C2×C8×C11—41no—
593C2×C8×C11C2411yescharacteristic
594C2×C8×C11C2411yescharacteristic
595C2×C8×C11C2411yescharacteristic
596C2×C8×C11C2411yescharacteristic
597C11×C4⋊C4—21no—
598C11×C4⋊C4—21no—
599C11×C4⋊C4C2×D411yescharacteristic
600C11×C4⋊C4C2411yescharacteristic
601C11×C4⋊C4C2411yescharacteristic
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C11×C22⋊C4—21no—
607C11×C22⋊C4—21no—
608C11×C22⋊C4—21no—
609C11×C22⋊C4C2×D411yescharacteristic
610C11×C22⋊C4C2×D411yescharacteristic
611C42×C11—21no—
612C42×C11C2411yescharacteristic
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11—21no—
623C22⋊Dic11—21no—
624C22⋊Dic11—21no—
625C22⋊Dic11—21no—
626C22⋊Dic11C2×D411yescharacteristic
627C22⋊Dic11C2×D411yescharacteristic
628C22⋊Dic11C2×D411yescharacteristic
629C22⋊Dic11C2×D411yescharacteristic
630C22⋊Dic11C2×D411yescharacteristic
631C22⋊Dic11C2×D411yescharacteristic
632#4326—22no—
633#4325—22no—
634#4325—22no—
635#4325—41no—
636#4324—41no—
637#4324—41no—
638#4323—41no—
639#4323—41no—
640#4323—41no—
641#4323—41no—
642#4323—41no—
643#4323—41no—
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)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
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⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11C2×D411yescharacteristic
671C4⋊Dic11C2×D411yescharacteristic
672C4⋊Dic11C2×D411yescharacteristic
673C4⋊Dic11C2×D411yescharacteristic
674C4⋊Dic11C2×D411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686Dic11⋊C4C2×D411yescharacteristic
687Dic11⋊C4C2×D411yescharacteristic
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11—21no—
694C4×Dic11C2×D411yescharacteristic
695C4×Dic11C2×D411yescharacteristic
696C4×Dic11C2411yescharacteristic
697C4×Dic11C2411yescharacteristic
698C4×Dic11C2411yescharacteristic
699#4318—41no—
700C2×C11⋊C8—41no—
701C2×C11⋊C8C2411yescharacteristic
702C2×C11⋊C8C2411yescharacteristic
703C2×C11⋊C8C2411yescharacteristic
704C2×C11⋊C8C2411yescharacteristic
705D88—41no—
706D88—41no—
707#4314—41no—
708#4313—41no—
709#4313—41no—
710#3558—111no—
711#3517—111no—
712#3399—111no—
713#3399—111no—
714#3371—111no—
715#3371—111no—
716#3326—111no—
717#3326—111no—
718#3318—111no—
719#3318—111no—
720#3306—111no—
721#3306—111no—
722#3274—111no—
723#3274—111no—
724#3271—111no—
725#3271—111no—
726#3268—111no—
727#3268D1111yescharacteristic, complemented
728#3257—111no—
729#3257—111no—
730#3253—111no—
731#3220—111no—
732#3220—111no—
733#3213—111no—
734#3125—111no—
735#3125—111no—
736#3115—111no—
737#3045—111no—
738#3045—111no—
739#3040—111no—
740#2995—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C23×C11—21no—
745C23×C11—81no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11C22×D411yescharacteristic
749C23×C11C22×D411yescharacteristic
750C22×D11—21no—
751C22×D11—21no—
752C22×D11—21no—
753C22×D11—42no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11C22×D411yescharacteristic
760Q8×C11—21no—
761Q8×C11—21no—
762Q8×C11—21no—
763Q8×C11H(5,𝔽2)12yes—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—41no—
773D4×C11—42no—
774D4×C11—42no—
775D4×C11—42no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11—81no—
781D4×C11—81no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—42no—
791C2×C4×C11—42no—
792C2×C4×C11—81no—
793C2×C4×C11—81no—
794C2×C4×C11C22×D411yescharacteristic
795C2×C4×C11C22×D411yescharacteristic
796C2×C4×C11C22×D411yescharacteristic
797C2×C4×C11C22×D411yescharacteristic
798C2×C4×C11C2511yescharacteristic
799C22⋊D11—41no—
800C22⋊D11—41no—
801C22⋊D11—42no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C22⋊D11—81no—
810C22⋊D11—81no—
811C22⋊D11—81no—
812C22⋊D11—81no—
813C22⋊D11—81no—
814C22⋊D11—81no—
815C22⋊D11—81no—
816C22⋊D11—81no—
817C22⋊D11—81no—
818C22⋊D11—81no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—81no—
825C2×Dic11—81no—
826C2×Dic11—81no—
827C2×Dic11—81no—
828C2×Dic11—81no—
829C2×Dic11—81no—
830C2×Dic11—81no—
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838D44—21no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—21no—
843D44—21no—
844D44—42no—
845D44—42no—
846D44—81no—
847C4×D11—21no—
848C4×D11—21no—
849C4×D11—41no—
850C4×D11—41no—
851C4×D11—42no—
852C4×D11—42no—
853C4×D11—81no—
854C4×D11—81no—
855C4×D11—81no—
856C4×D11—81no—
857C4×D11—81no—
858Dic22—21no—
859Dic22—21no—
860Dic22—41no—
861Dic22—42no—
862Dic22—81no—
863Dic22—81no—
864C8×C11—21no—
865C8×C11—21no—
866C8×C11—21no—
867C8×C11—21no—
868C11⋊C8—21no—
869C11⋊C8—21no—
870C11⋊C8—21no—
871C11⋊C8—21no—
872C2×#137—111no—
873C2×AGL(1,ℤ/8)—111no—
874C2×AGL(1,ℤ/8)—111no—
875C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
876C2×#135—111no—
877C2×#135C2×D1111yescharacteristic, complemented
878#562—221no—
879H(3,𝔽4)—221no—
880#559—111no—
881#559—111no—
882#557—111no—
883#553—111no—
884#553—111no—
885#553—221no—
886#553—221no—
887#550—111no—
888#550—111no—
889#550—111no—
890#550—221no—
891#550C2×D1111yescharacteristic, complemented
892#548—111no—
893#548—111no—
894#547—111no—
895#547—221no—
896#546—111no—
897#546—221no—
898#546—221no—
899#546C2×D1111yescharacteristic
900D42—111no—
901D42—111no—
902#542—111no—
903#542—111no—
904#540—111no—
905#540—111no—
906#540—221no—
907#540—221no—
908#538—221no—
909#538—221no—
910#538—221no—
911#535—111no—
912#535—111no—
913#534—221no—
914#532—111no—
915#532—111no—
916#532—221no—
917#529—111no—
918#529—221no—
919C2×#124—111no—
920#520—111no—
921#520—111no—
922C4×#41—111no—
923#496—111no—
924#496—111no—
925#496—111no—
926#496C2×D1111yescharacteristic, complemented
927#493—111no—
928#493—111no—
929#490—111no—
930#490—111no—
931#489—111no—
932#489—111no—
933#488—111no—
934#488—111no—
935#483—111no—
936#483—111no—
937#482—111no—
938#482—111no—
939#481—111no—
940#481—111no—
941#479—111no—
942#479—111no—
943#478—111no—
944#478—111no—
945#476—111no—
946#476—111no—
947#476—111no—
948#476—111no—
949#475—111no—
950#474—111no—
951#469—111no—
952#469—111no—
953#469—111no—
954#469—111no—
955#469—111no—
956#469—111no—
957#468—111no—
958#468C2×D1111yescharacteristic, complemented
959#466—111no—
960#466C2×D1111yescharacteristic
961#465—111no—
962#465—111no—
963#464—111no—
964#464—111no—
965#464—111no—
966#464—111no—
967#464—111no—
968#464C2×D1111yescharacteristic, complemented
969#463—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463—111no—
978#463—111no—
979#460—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#459—111no—
989#459—111no—
990#459—111no—
991#459—111no—
992#459C2×D1111yescharacteristic, complemented
993#452—111no—
994#452C2×D1111yescharacteristic, complemented
995#449—111no—
996#449—111no—
997#449—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449C2×D1111yescharacteristic
1002#449C2×D1111yescharacteristic, complemented
1003#448—111no—
1004#448—111no—
1005#447—111no—
1006#447—111no—
1007#447—111no—
1008#447—111no—
1009#447—111no—
1010#447C2×D1111yescharacteristic, complemented
1011#446—111no—
1012#446—111no—
1013#442—111no—
1014#442—111no—
1015#442—111no—
1016#442—111no—
1017#441—111no—
1018#441—111no—
1019#440—111no—
1020#440C2×D1111yescharacteristic, complemented
1021C4×SD16—111no—
1022C4×SD16—111no—
1023C4×SD16—111no—
1024C4×SD16—111no—
1025#436—111no—
1026#436—111no—
1027#435—111no—
1028#435—111no—
1029#435—111no—
1030#435C2×D1111yescharacteristic, complemented
1031#433—111no—
1032#433—111no—
1033#432—111no—
1034#424—111no—
1035#424—111no—
1036#423—111no—
1037#419—111no—
1038#418—111no—
1039#417—111no—
1040#417—111no—
1041C2×#102—111no—
1042C2×#102—111no—
1043C22×C11—21no—
1044C22×C11—21no—
1045C22×C11—21no—
1046C22×C11—21no—
1047C22×C11—21no—
1048C22×C11—21no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11—41no—
1056C22×C11—41no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—162no—
1062C22×C11C23×D411yescharacteristic
1063C2×D11—21no—
1064C2×D11—21no—
1065C2×D11—21no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11—41no—
1075C2×D11—162no—
1076C2×D11—162no—
1077C4×C11—21no—
1078C4×C11—21no—
1079C4×C11—21no—
1080C4×C11—21no—
1081C4×C11—22no—
1082C4×C11—41no—
1083C4×C11—41no—
1084C4×C11—41no—
1085C4×C11C2×H(5,𝔽2)11yescharacteristic
1086C4×C11#58511yescharacteristic
1087Dic11—21no—
1088Dic11—21no—
1089Dic11—21no—
1090Dic11—21no—
1091Dic11—21no—
1092Dic11—21no—
1093Dic11—21no—
1094Dic11—41no—
1095Dic11—41no—
1096Dic11—41no—
1097Dic11—41no—
1098Dic11—41no—
1099C2×#41—111no—
1100C2×#41—111no—
1101C2×#41—221no—
1102C2×#41—221no—
1103C2×#41—221no—
1104C2×#41—221no—
1105C2×#41C22×D1111yescharacteristic
1106C2×#41C22×D1111yescharacteristic
1107C2×#41C22×D1111yescharacteristic
1108C22×Q8—111no—
1109C22×D4—111no—
1110C22×D4—111no—
1111C22×D4—221no—
1112C22×D4—221no—
1113C22×D4C22×D1111yescharacteristic
1114#137—442no—
1115AGL(1,ℤ/8)—42no—
1116AGL(1,ℤ/8)—442no—
1117AGL(1,ℤ/8)—442no—
1118#135—42no—
1119#135—442no—
1120C2×Q16—111no—
1121C2×Q16C22×D1111yescharacteristic
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—111no—
1125C2×SD16—111no—
1126C2×SD16—111no—
1127C2×SD16—111no—
1128C2×SD16C22×D1111yescharacteristic
1129C2×SD16C22×D1111yescharacteristic
1130C2×SD16C22×D1111yescharacteristic
1131C2×SD16C22×D1111yescharacteristic
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—111no—
1137C2×D8—111no—
1138C2×D8—111no—
1139C2×D8—111no—
1140C2×D8C22×D1111yescharacteristic
1141C2×D8C22×D1111yescharacteristic
1142C2×D8C22×D1111yescharacteristic
1143C2×D8C22×D1111yescharacteristic
1144C2×M16—111no—
1145C2×M16—111no—
1146C2×M16—111no—
1147C2×M16C22×D1111yescharacteristic
1148C22×C8—111no—
1149C22×C8C22×D1111yescharacteristic
1150C4⋊Q8—111no—
1151C4⋊Q8—111no—
1152C4⋊Q8—221no—
1153#127—21no—
1154#127—111no—
1155#127—111no—
1156#127—111no—
1157#127—111no—
1158#127—111no—
1159#127—221no—
1160#127—221no—
1161#127C22×D1111yescharacteristic
1162#126—111no—
1163#126—111no—
1164#126—221no—
1165#126—221no—
1166#126—221no—
1167#126—221no—
1168#125—111no—
1169#125—111no—
1170#125—111no—
1171#125—221no—
1172#125—221no—
1173#124—111no—
1174#124—111no—
1175#124—111no—
1176#124—111no—
1177#124—111no—
1178#124—111no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124—221no—
1183#124—221no—
1184#124—221no—
1185#124—221no—
1186#124—221no—
1187#124—221no—
1188#124—221no—
1189#124C22×D1111yescharacteristic
1190#123—21no—
1191#123—111no—
1192#123—111no—
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—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8C22×D1111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—111no—
1220#121—111no—
1221#121—111no—
1222#121—111no—
1223#121—111no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
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#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121C22×D1111yescharacteristic
1252#121C22×D1111yescharacteristic
1253#121C22×D1111yescharacteristic
1254#120—21no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258#120—221no—
1259#120—221no—
1260#120—221no—
1261#120—221no—
1262#120—221no—
1263#120—221no—
1264C4×Q8—111no—
1265C4×Q8—111no—
1266C4×Q8—111no—
1267C4×Q8—111no—
1268C4×Q8—111no—
1269C4×Q8—111no—
1270C4×Q8—221no—
1271C4×Q8C22×D1111yescharacteristic
1272C4×D4—21no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4C22×D1111yescharacteristic
1301C4×D4C22×D1111yescharacteristic
1302#117—111no—
1303#117—111no—
1304#117—111no—
1305#117—221no—
1306#117—221no—
1307#117—221no—
1308C2×C4⋊C4—111no—
1309C2×C4⋊C4—111no—
1310C2×C4⋊C4—221no—
1311C2×C4⋊C4—221no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—221no—
1314C2×C22⋊C4—221no—
1315C2×C22⋊C4—221no—
1316C2×C42—111no—
1317C2×C42—221no—
1318#107—111no—
1319#107C22×D1111yescharacteristic
1320#106—111no—
1321#106—111no—
1322#106—111no—
1323#106—111no—
1324#106—111no—
1325#106—111no—
1326C4⋊C8—111no—
1327C4⋊C8—111no—
1328C4⋊C8—111no—
1329C4⋊C8—111no—
1330C4⋊C8—111no—
1331C4⋊C8—111no—
1332C4⋊C8—111no—
1333C4⋊C8—111no—
1334C4⋊C8—111no—
1335C4⋊C8C22×D1111yescharacteristic
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103—111no—
1340#103—111no—
1341#103—111no—
1342#103—111no—
1343#103—111no—
1344#103C22×D1111yescharacteristic
1345#103C22×D1111yescharacteristic
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#102—111no—
1359#102—111no—
1360#102—111no—
1361#102—111no—
1362#102—111no—
1363#102—111no—
1364#102C22×D1111yescharacteristic
1365#102C22×D1111yescharacteristic
1366#102C22×D1111yescharacteristic
1367#102C22×D1111yescharacteristic
1368C22⋊C8—111no—
1369C22⋊C8—111no—
1370C22⋊C8—111no—
1371C22⋊C8—111no—
1372C22⋊C8C22×D1111yescharacteristic
1373C22⋊C8C22×D1111yescharacteristic
1374#97—111no—
1375#97—111no—
1376#97—111no—
1377#97C22×D1111yescharacteristic
1378C4×C8—111no—
1379C4×C8—111no—
1380C2×C11—41no—
1381C2×C11—41no—
1382C2×C11—81no—
1383C2×C11—81no—
1384C2×C11—81no—
1385C2×C11—81no—
1386C2×C11#348811yescharacteristic
1387C2×C11#358511yescharacteristic
1388C2×C11#358511yescharacteristic
1389D11—41no—
1390D11—81no—
1391D11—81no—
1392D11—81no—
1393C24—21no—
1394C24—221no—
1395C24—221no—
1396#41—22no—
1397#41—22no—
1398#41—41no—
1399#41—41no—
1400#41—41no—
1401#41—41no—
1402#41—222no—
1403#41—441no—
1404#41—441no—
1405#41—441no—
1406#41—882no—
1407#41—882no—
1408#41—882no—
1409#41—882no—
1410C2×Q8—111no—
1411C2×Q8—111no—
1412C2×Q8—221no—
1413C2×Q8—221no—
1414C2×Q8—221no—
1415C2×Q8—441no—
1416C2×Q8—441no—
1417C2×Q8C23×D1111yescharacteristic
1418C2×Q8C23×D1111yescharacteristic
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—111no—
1431C2×D4—111no—
1432C2×D4—111no—
1433C2×D4—111no—
1434C2×D4—111no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—221no—
1443C2×D4—221no—
1444C2×D4—221no—
1445C2×D4—221no—
1446C2×D4—221no—
1447C2×D4—221no—
1448C2×D4—221no—
1449C2×D4—221no—
1450C2×D4—221no—
1451C2×D4—221no—
1452C2×D4—221no—
1453C2×D4—221no—
1454C2×D4—221no—
1455C2×D4—221no—
1456C2×D4—441no—
1457C2×D4—441no—
1458C2×D4—441no—
1459C2×D4—441no—
1460C2×D4—882no—
1461C2×D4—882no—
1462C2×D4D4×D1111yescharacteristic
1463C2×D4C23×D1111yescharacteristic
1464C2×D4C23×D1111yescharacteristic
1465C2×D4C23×D1111yescharacteristic
1466C2×D4C23×D1111yescharacteristic
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—111no—
1472C22×C4—111no—
1473C22×C4—111no—
1474C22×C4—221no—
1475C22×C4—221no—
1476C22×C4—221no—
1477C22×C4—221no—
1478C22×C4—221no—
1479C22×C4—221no—
1480C22×C4—221no—
1481C22×C4—221no—
1482C22×C4—221no—
1483C22×C4—221no—
1484C22×C4—221no—
1485C22×C4—221no—
1486C22×C4—221no—
1487C22×C4—221no—
1488C22×C4C23×D1111yescharacteristic
1489C22×C4C23×D1111yescharacteristic
1490Q16—22no—
1491Q16—222no—
1492SD16—22no—
1493SD16—22no—
1494SD16—41no—
1495SD16—41no—
1496SD16—222no—
1497SD16—222no—
1498SD16—441no—
1499SD16—441no—
1500SD16—441no—
1501SD16—441no—
1502D8—41no—
1503D8—41no—
1504D8—41no—
1505D8—41no—
1506D8—441no—
1507D8—441no—
1508D8—441no—
1509D8—441no—
1510D8—441no—
1511D8—441no—
1512D8—441no—
1513D8—441no—
1514M16—41no—
1515M16—441no—
1516M16—441no—
1517M16—441no—
1518C2×C8—41no—
1519C2×C8—111no—
1520C2×C8—111no—
1521C2×C8—111no—
1522C2×C8—111no—
1523C2×C8—441no—
1524C2×C8C23×D1111yescharacteristic
1525C2×C8C23×D1111yescharacteristic
1526C2×C8C23×D1111yescharacteristic
1527C2×C8C23×D1111yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—111no—
1531C4⋊C4—111no—
1532C4⋊C4—111no—
1533C4⋊C4—111no—
1534C4⋊C4—111no—
1535C4⋊C4—111no—
1536C4⋊C4—111no—
1537C4⋊C4—111no—
1538C4⋊C4—111no—
1539C4⋊C4—111no—
1540C4⋊C4—111no—
1541C4⋊C4—111no—
1542C4⋊C4—111no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4—221no—
1547C4⋊C4—221no—
1548C4⋊C4—221no—
1549C4⋊C4—221no—
1550C4⋊C4—221no—
1551C4⋊C4—221no—
1552C4⋊C4—221no—
1553C4⋊C4—221no—
1554C4⋊C4—221no—
1555C4⋊C4—221no—
1556C4⋊C4—221no—
1557C4⋊C4D4×D1111yescharacteristic
1558C4⋊C4C23×D1111yescharacteristic
1559C4⋊C4C23×D1111yescharacteristic
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—111no—
1568C22⋊C4—111no—
1569C22⋊C4—111no—
1570C22⋊C4—111no—
1571C22⋊C4—111no—
1572C22⋊C4—111no—
1573C22⋊C4—111no—
1574C22⋊C4—111no—
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⋊C4—221no—
1598C22⋊C4—221no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4D4×D1111yescharacteristic
1604C22⋊C4D4×D1111yescharacteristic
1605C42—21no—
1606C42—111no—
1607C42—111no—
1608C42—111no—
1609C42—111no—
1610C42—111no—
1611C42—221no—
1612C42—221no—
1613C42—221no—
1614C42—221no—
1615C42—221no—
1616C42—221no—
1617C42C23×D1111yescharacteristic
1618C11#6209311yescharacteristic, complemented, Sylow
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—81no—
1624C23—81no—
1625C23—81no—
1626C23—111no—
1627C23—221no—
1628C23—221no—
1629C23—221no—
1630C23—442no—
1631C23—881no—
1632C23—881no—
1633C23—881no—
1634C23—881no—
1635C23—881no—
1636C23C2×D4×D1111yescharacteristic
1637C23C2×D4×D1111yescharacteristic
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—221no—
1642Q8—221no—
1643Q8—441no—
1644Q8—442no—
1645Q8—881no—
1646Q8—881no—
1647Q8#6703712yes—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—41no—
1657D4—42no—
1658D4—42no—
1659D4—42no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—221no—
1667D4—221no—
1668D4—221no—
1669D4—221no—
1670D4—221no—
1671D4—221no—
1672D4—442no—
1673D4—442no—
1674D4—441no—
1675D4—441no—
1676D4—442no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682D4—881no—
1683D4—881no—
1684D4—881no—
1685D4—881no—
1686D4—881no—
1687D4—881no—
1688D4—881no—
1689D4—881no—
1690D4—881no—
1691D4—881no—
1692D4—881no—
1693D4—881no—
1694D4—881no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—111no—
1708C2×C4—111no—
1709C2×C4—111no—
1710C2×C4—111no—
1711C2×C4—111no—
1712C2×C4—111no—
1713C2×C4—111no—
1714C2×C4—221no—
1715C2×C4—221no—
1716C2×C4—221no—
1717C2×C4—221no—
1718C2×C4—221no—
1719C2×C4—221no—
1720C2×C4—221no—
1721C2×C4—441no—
1722C2×C4—441no—
1723C2×C4—442no—
1724C2×C4—442no—
1725C2×C4—881no—
1726C2×C4—881no—
1727C2×C4—881no—
1728C2×C4—881no—
1729C2×C4—881no—
1730C2×C4—881no—
1731C2×C4—881no—
1732C2×C4—881no—
1733C2×C4—881no—
1734C2×C4—881no—
1735C2×C4—881no—
1736C2×C4—881no—
1737C2×C4C2×D4×D1111yescharacteristic
1738C2×C4C2×D4×D1111yescharacteristic
1739C2×C4C2×D4×D1111yescharacteristic
1740C2×C4C2×D4×D1111yescharacteristic
1741C2×C4C24×D1111yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—221no—
1747C8—221no—
1748C8—221no—
1749C8—221no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—162no—
1769C22—221no—
1770C22—221no—
1771C22—221no—
1772C22—441no—
1773C22—441no—
1774C22—441no—
1775C22—441no—
1776C22—441no—
1777C22—441no—
1778C22—441no—
1779C22—441no—
1780C22—441no—
1781C22—1762no—
1782C22—1762no—
1783C22C22×D4×D1111yescharacteristic
1784C4—21no—
1785C4—21no—
1786C4—21no—
1787C4—22no—
1788C4—21no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—221no—
1793C4—221no—
1794C4—221no—
1795C4—221no—
1796C4—221no—
1797C4—221no—
1798C4—221no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C4—441no—
1803C4—441no—
1804C4C2×#6703711yescharacteristic
1805C4#1062345511yescharacteristic
1806C2—41no—
1807C2—41no—
1808C2—81no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—441no—
1813C2—881no—
1814C2—881no—
1815C2—881no—
1816C2#1308227611yescharacteristic
1817C2#1308339111yescharacteristic
1818C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3268C2
socleC22×C11C23×D4
hypercenter#3268D11
hypocenterC11#62093
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #13083125C2semidirect
2. #13082617C2semidirect
3. #13081661C2semidirect
4. #13081655C2semidirect
5. #13081389C2semidirect
6. #13081381C2semidirect
7. #13080864C2semidirect
8. #13080862C2semidirect
9. #13080763C2semidirect
10. #13080761C2semidirect
11. #13080579C2semidirect
12. #13080577C2semidirect
13. #13080230C2semidirect
14. #13080229C2semidirect
15. #13080205C2semidirect
16. #13080201C2semidirect
17. #13080157C2semidirect
18. #13080022C2semidirect
19. #13080020C2semidirect
20. #13079995C2semidirect
21. #13079664C2semidirect
22. #13079662C2semidirect
23. #13079598C2semidirect
24. #13078894C2semidirect
25. #13078886C2semidirect
26. #13078765C2semidirect
27. #13078159C2semidirect
28. #13078153C2semidirect
29. #13078107C2semidirect
30. #13077782C2semidirect
31. C11×#3268C2semidirect
32. C2×C11×AGL(1,ℤ/8)C22semidirect
33. C2×C11×#135C22semidirect
34. C11×#550C22semidirect
36. #10623365C22semidirect
37. #10623365C22semidirect
40. #10623358C22semidirect
41. #10623358C22semidirect
42. C2×#67003C22semidirect
43. C2×#67002C22semidirect
46. C2×#66971C22semidirect
49. #10623249C22semidirect
51. #10623247C22semidirect
60. #10623150C22semidirect
61. #10623150C22semidirect
64. #10623149C22semidirect
65. #10623149C22semidirect
72. C4×#4343C22semidirect
73. #10623101C22semidirect
78. #10623086C22semidirect
83. C11×#496C22semidirect
84. C11×#468C22semidirect
86. C11×#464C22semidirect
87. C11×#459C22semidirect
88. C11×#452C22semidirect
90. C11×#449C22semidirect
91. C11×#447C22semidirect
92. C11×#440C22semidirect
93. C11×#435C22semidirect
94. #10622852C22semidirect
96. #10622851C22semidirect
97. #10622845C22semidirect
98. #10622830C22semidirect
99. C2×#66896C22semidirect
100. #10622798C22semidirect
101. #10622798C22semidirect
102. #10622797C22semidirect
103. #10622789C22semidirect
104. #10622785C22semidirect
105. #10622783C22semidirect
106. #10622783C22semidirect
107. #10622779C22semidirect
108. #10622779C22semidirect
109. #10622778C22semidirect
110. #10622778C22semidirect
111. #10622778C22semidirect
114. #10622776C22semidirect
115. #10622776C22semidirect
116. SD16×Dic11C22semidirect
117. SD16×Dic11C22semidirect
118. #10622772C22semidirect
119. #10622772C22semidirect
122. #10622767C22semidirect
123. #10622766C22semidirect
124. #10622766C22semidirect
125. #10622766C22semidirect
126. #10622765C22semidirect
131. #10622763C22semidirect
132. #10622763C22semidirect
133. #10622763C22semidirect
135. #10622746C22semidirect
136. #10622741C22semidirect
137. #10622732C22semidirect
138. #10622727C22semidirect
139. C2×#66885C22semidirect
140. #10622724C22semidirect
141. #10622715C22semidirect
142. #10622687C22semidirect
143. #10622685C22semidirect
144. #10622670C22semidirect
145. #10622668C22semidirect
146. #10622661C22semidirect
147. #10622656C22semidirect
148. #10622655C22semidirect
151. #10622650C22semidirect
152. #10622649C22semidirect
154. #10622641C22semidirect
155. #10622639C22semidirect
156. #10622627C22semidirect
157. #10622624C22semidirect
158. #10622621C22semidirect
159. #10622504C22semidirect
160. #10622503C22semidirect
161. #10622498C22semidirect
162. #10622490C22semidirect
163. #10622457C22semidirect
164. #10622455C22semidirect
165. #10622450C22semidirect
166. #10622441C22semidirect
167. #10622432C22semidirect
168. #10622424C22semidirect
169. #10622415C22semidirect
170. #10622413C22semidirect
171. #10622412C22semidirect
172. #10622404C22semidirect
173. #10622402C22semidirect
174. #10622401C22semidirect
175. #10622400C22semidirect
176. #10622399C22semidirect
177. #10622399C22semidirect
178. #10622398C22semidirect
179. #10622395C22semidirect
180. #10622395C22semidirect
181. #10622392C22semidirect
183. #10622381C22semidirect
186. #10622376C22semidirect
187. #10622375C22semidirect
188. #10622374C22semidirect
189. #10622374C22semidirect
190. #10622371C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
194. #10622343C22semidirect
195. #10622342C22semidirect
196. #10622334C22semidirect
197. #10622333C22semidirect
198. #10622333C22semidirect
199. #10622327C22semidirect
200. #10622324C22semidirect
201. #10622318C22semidirect
202. #10622314C22semidirect
727. #3268D11semidirect
875. C2×AGL(1,ℤ/8)C2×D11semidirect
877. C2×#135C2×D11semidirect
891. #550C2×D11semidirect
926. #496C2×D11semidirect
958. #468C2×D11semidirect
968. #464C2×D11semidirect
992. #459C2×D11semidirect
994. #452C2×D11semidirect
1002. #449C2×D11semidirect
1010. #447C2×D11semidirect
1020. #440C2×D11semidirect
1030. #435C2×D11semidirect
1618. C11#62093semidirect

Maximal subgroups

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

subgroupindex
#130831252
#130826172
#130816612
#130816552
#130813892
#130813812
#130808642
#130808622
#130807632
#130807612
#130805792
#130805772
#130802302
#130802292
#130802052
#130802012
#130801572
#130800222
#130800202
#130799952
#130796642
#130796622
#130795982
#130788942
#130788862
#130787652
#130781592
#130781532
#130781072
#130777822
C11×#32682
#6209311