Finite Group Databasebeta

← #15640335

Subgroups — #15640335

Order 2816.

2100 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082897C211yesmaximal, characteristic, complemented
2#13082278C211yesmaximal, characteristic, complemented
3#13080950C211yesmaximal, characteristic, complemented
4#13080885C211yesmaximal, characteristic, complemented
5#13080840C211yesmaximal, characteristic, complemented
6#13080821C211yesmaximal, characteristic, complemented
7#13080693C211yesmaximal, characteristic, complemented
8#13080686C211yesmaximal, characteristic, complemented
9#13080633C211yesmaximal, characteristic, complemented
10#13080626C211yesmaximal, characteristic, complemented
11#13080275C211yesmaximal, characteristic, complemented
12#13080266C211yesmaximal, characteristic, complemented
13#13080247C211yesmaximal, characteristic, complemented
14#13080210C211yesmaximal, characteristic, complemented
15#13080201C211yesmaximal, characteristic, complemented
16#13080171C211yesmaximal, characteristic, complemented
17#13080130C211yesmaximal, characteristic, complemented
18#13080115C211yesmaximal, characteristic, complemented
19#13079706C211yesmaximal, characteristic, complemented
20#13079684C211yesmaximal, characteristic, complemented
21#13079513C211yesmaximal, characteristic, complemented
22#13079500C211yesmaximal, characteristic, complemented
23#13079427C211yesmaximal, characteristic, complemented
24#13079419C211yesmaximal, characteristic, complemented
25#13078871C211yesmaximal, characteristic, complemented
26#13078823C211yesmaximal, characteristic, complemented
27#13077893C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077854C211yesmaximal, characteristic, complemented
30#13077674C211yesmaximal, characteristic, complemented
31C11×#3012C211yesmaximal, characteristic, complemented
32C2×C11×H(5,𝔽2)C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#537C2211yescharacteristic, complemented
37#10623365C2211yescharacteristic
38#10623365C2211yescharacteristic
39#10623364—21no—
40#10623364C2211yescharacteristic
41#10623362C2211yescharacteristic
42#10623362C2211yescharacteristic
43#10623362C2211yescharacteristic, complemented
44#10623359—21no—
45#10623359C2211yescharacteristic
46#10623358C2211yescharacteristic
47#10623356C2211yescharacteristic, complemented
48#10623355C2211yescharacteristic, complemented
49C2×#67004C2211yescharacteristic, complemented
50#10623337—21no—
51#10623337—21no—
52#10623337C2211yescharacteristic
53#10623337C2211yescharacteristic
54#10623336—21no—
55#10623336C2211yescharacteristic
56D4×C22⋊D11—21no—
57D4×C22⋊D11—21no—
58D4×C22⋊D11C2211yescharacteristic
59D4×C22⋊D11C2211yescharacteristic
60C2×#66991—21no—
61C2×#66991C2211yescharacteristic
62C22×#4324C2211yescharacteristic, complemented
63C2×#66971C2211yescharacteristic, complemented
64C2×#66968C2211yescharacteristic, complemented
65C2×#66968C2211yescharacteristic, complemented
66C2×#66964C2211yescharacteristic, complemented
67#10623177—21no—
68#10623172C2211yescharacteristic, complemented
69#10623167—21no—
70#10623163C2211yescharacteristic, complemented
71D11×C22⋊Q8C2211yescharacteristic, complemented
72#10623156C2211yescharacteristic, complemented
73#10623152—21no—
74#10623145—21no—
75#10623145C2211yescharacteristic, complemented
76#10623144—21no—
77#10623144—21no—
78#10623137C2211yescharacteristic, complemented
79#10623134—21no—
80#10623134C2211yescharacteristic, complemented
81#10623133—21no—
82#10623129C2211yescharacteristic, complemented
83#10623044C2211yescharacteristic, complemented
84#10623042C2211yescharacteristic, complemented
85C11×#452C2211yescharacteristic
86C11×#452C2211yescharacteristic, complemented
87C11×#450C2211yescharacteristic, complemented
88C11×#450C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic
90C11×#449C2211yescharacteristic, complemented
91C11×#447C2211yescharacteristic, complemented
92C11×#447C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic
97#10622852C2211yescharacteristic
98#10622852C2211yescharacteristic, complemented
99#10622852C2211yescharacteristic, complemented
100#10622852C2211yescharacteristic, complemented
101#10622851C2211yescharacteristic, complemented
102#10622847C2211yescharacteristic, complemented
103#10622846C2211yescharacteristic, complemented
104#10622831C2211yescharacteristic, complemented
105#10622831C2211yescharacteristic, complemented
106#10622831C2211yescharacteristic, complemented
107#10622831C2211yescharacteristic, complemented
108#10622828C2211yescharacteristic, complemented
109#10622799C2211yescharacteristic, complemented
110#10622797C2211yescharacteristic, complemented
111#10622795C2211yescharacteristic, complemented
112#10622788C2211yescharacteristic, complemented
113#10622787C2211yescharacteristic, complemented
114#10622787C2211yescharacteristic, complemented
115#10622785C2211yescharacteristic, complemented
116#10622783C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic, complemented
118#10622782C2211yescharacteristic, complemented
119#10622780C2211yescharacteristic, complemented
120#10622779C2211yescharacteristic, complemented
121#10622779C2211yescharacteristic, complemented
122#10622777C2211yescharacteristic, complemented
123#10622776C2211yescharacteristic, complemented
124#10622775C2211yescharacteristic, complemented
125SD16×Dic11C2211yescharacteristic, complemented
126#10622772C2211yescharacteristic, complemented
127#10622772C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic, complemented
129#10622771C2211yescharacteristic, complemented
130#10622771C2211yescharacteristic, complemented
131#10622768C2211yescharacteristic, complemented
132#10622767C2211yescharacteristic, complemented
133#10622766C2211yescharacteristic, complemented
134#10622766C2211yescharacteristic, complemented
135#10622763C2211yescharacteristic, complemented
136D8×Dic11C2211yescharacteristic, complemented
137#10622750C2211yescharacteristic, complemented
138#10622747C2211yescharacteristic, complemented
139#10622741C2211yescharacteristic, complemented
140#10622741C2211yescharacteristic, complemented
141#10622729C2211yescharacteristic, complemented
142#10622727C2211yescharacteristic, complemented
143#10622724C2211yescharacteristic, complemented
144#10622724C2211yescharacteristic, complemented
145#10622664C2211yescharacteristic, complemented
146#10622662C2211yescharacteristic, complemented
147#10622660C2211yescharacteristic, complemented
148#10622657C2211yescharacteristic, complemented
149#10622655C2211yescharacteristic, complemented
150#10622651C2211yescharacteristic, complemented
151#10622650C2211yescharacteristic, complemented
152#10622646C2211yescharacteristic, complemented
153#10622583C2211yescharacteristic, complemented
154#10622580C2211yescharacteristic, complemented
155#10622423C2211yescharacteristic, complemented
156#10622421C2211yescharacteristic, complemented
157#10622416C2211yescharacteristic, complemented
158#10622415C2211yescharacteristic, complemented
159#10622412C2211yescharacteristic, complemented
160#10622407C2211yescharacteristic, complemented
161#10622403C2211yescharacteristic, complemented
162#10622403C2211yescharacteristic, complemented
163#10622396C2211yescharacteristic, complemented
164#10622393C2211yescharacteristic, complemented
165#10622393C2211yescharacteristic, complemented
166#10622393C2211yescharacteristic, complemented
167#10622393C2211yescharacteristic, complemented
168#10622392C2211yescharacteristic, complemented
169#10622392C2211yescharacteristic, complemented
170#10622389C2211yescharacteristic, complemented
171#10622387C2211yescharacteristic, complemented
172#10622387C2211yescharacteristic, complemented
173#10622384C2211yescharacteristic, complemented
174#10622383C2211yescharacteristic, complemented
175#10622381C2211yescharacteristic, complemented
176#10622380C2211yescharacteristic, complemented
177#10622380C2211yescharacteristic, complemented
178#10622378C2211yescharacteristic, complemented
179#10622377C2211yescharacteristic, complemented
180#10622376C2211yescharacteristic, complemented
181#10622375C2211yescharacteristic, complemented
182#10622375C2211yescharacteristic, complemented
183#10622373C2211yescharacteristic, complemented
184#10622372C2211yescharacteristic, complemented
185#10622370C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622350C2211yescharacteristic, complemented
190#10622346C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic, complemented
192#10622343C2211yescharacteristic, complemented
193#10622343C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622335C2211yescharacteristic, complemented
200#10622334C2211yescharacteristic, complemented
201#10622333C2211yescharacteristic, complemented
202#10622333C2211yescharacteristic, complemented
203C11×H(5,𝔽2)—42no—
204C11×H(5,𝔽2)—42no—
205C2×C11×#41—21no—
206C2×C11×#41C2311yescharacteristic
207C2×C11×#41C2311yescharacteristic
208C2×C11×#41C2311yescharacteristic
209C2×C11×#41C2311yescharacteristic
210C2×C11×#41C2311yescharacteristic
211C22×D4×C11—21no—
212C22×D4×C11—21no—
213C22×D4×C11—21no—
214C22×D4×C11C2311yescharacteristic
215C22×D4×C11C2311yescharacteristic
216C22×D4×C11C2311yescharacteristic
217C22×C22⋊D11—21no—
218C22×C22⋊D11—21no—
219C22×C22⋊D11—21no—
220#41×D11—42no—
221#41×D11—42no—
222C2×#4343C2311yescharacteristic
223C2×Q8×D11C2311yescharacteristic
224C2×Q8×D11C2311yescharacteristic
225C2×#4341—21no—
226C2×#4341C2311yescharacteristic
227C2×#4341C2311yescharacteristic
228C2×D4×D11—21no—
229C2×D4×D11C2311yescharacteristic
230C2×#4339—21no—
231C2×#4339C2311yescharacteristic
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C11×AGL(1,ℤ/8)—42no—
236C11×#135—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×D8C2311yescharacteristic
243C2×C11×D8C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×M16C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8C2311yescharacteristic
249C11×C22⋊Q8C2311yescharacteristic
250C11×#121—21no—
251C11×#121—21no—
252C11×#121—21no—
253C11×#121C2311yescharacteristic
254C11×#121C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#67006—21no—
257#67006—21no—
258#67006—21no—
259#67006—21no—
260#67006—21no—
261#67006—21no—
262C2×C22⋊Dic11—21no—
263C2×C22⋊Dic11—21no—
264C2×C22⋊Dic11—21no—
265#67004—42no—
266#66999—21no—
267#66999D411yescharacteristic
268#66999D411yescharacteristic
269#66999C2311yescharacteristic
270Q8×Dic11C2311yescharacteristic
271Q8×Dic11C2311yescharacteristic
272Q8×Dic11C2311yescharacteristic
273#66997—21no—
274#66997C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4325C2311yescharacteristic
279#66993—21no—
280#66993—21no—
281#66993C2311yescharacteristic
282#66993C2311yescharacteristic
283#66992—21no—
284#66992—21no—
285#66992—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66991—21no—
292#66991—21no—
293#66991—21no—
294#66991—21no—
295#66991—21no—
296#66991—21no—
297#66991—21no—
298#66991—21no—
299#66991—21no—
300#66991—21no—
301#66991—21no—
302#66991D411yescharacteristic
303#66991D411yescharacteristic
304#66991C2311yescharacteristic
305#66991C2311yescharacteristic
306#66991C2311yescharacteristic
307#66991C2311yescharacteristic
308#66991C2311yescharacteristic
309#66990—21no—
310#66990—21no—
311#66990—21no—
312#66990D411yescharacteristic
313#66990D411yescharacteristic
314#66989—21no—
315#66989—21no—
316#66989—21no—
317#66989—21no—
318#66989—21no—
319#66989C2311yescharacteristic
320#66989C2311yescharacteristic
321#66989C2311yescharacteristic
322#66988—21no—
323#66988—21no—
324#66988—21no—
325#66988—21no—
326#66988—21no—
327#66988—21no—
328#66988—21no—
329#66988D411yescharacteristic
330#66988D411yescharacteristic
331D4×Dic11—21no—
332D4×Dic11—21no—
333D4×Dic11—21no—
334D4×Dic11—21no—
335D4×Dic11C2311yescharacteristic
336D4×Dic11C2311yescharacteristic
337D4×Dic11C2311yescharacteristic
338C2×#4324—42no—
339C2×#4324C2311yescharacteristic
340C2×#4324C2311yescharacteristic
341C2×#4324C2311yescharacteristic
342C2×#4324C2311yescharacteristic
343C2×#4324C2311yescharacteristic
344C2×#4324C2311yescharacteristic
345C2×#4324C2311yescharacteristic
346C2×#4323C2311yescharacteristic
347#66983—21no—
348#66983—21no—
349#66983C2311yescharacteristic
350#66983C2311yescharacteristic
351#66982—21no—
352#66982—21no—
353C4×C22⋊D11—21no—
354C4×C22⋊D11—21no—
355C4×C22⋊D11—21no—
356C4×C22⋊D11—21no—
357C4×C22⋊D11—21no—
358C4×C22⋊D11—21no—
359C4×C22⋊D11C2311yescharacteristic
360C4×C22⋊D11C2311yescharacteristic
361C4×C22⋊D11C2311yescharacteristic
362C4×C22⋊D11C2311yescharacteristic
363#66979—21no—
364#66979—21no—
365#66979C2311yescharacteristic
366#66979C2311yescharacteristic
367C2×C4⋊Dic11—21no—
368C2×C4⋊Dic11C2311yescharacteristic
369#66977—21no—
370#66977—21no—
371#66977—21no—
372#66977—21no—
373#66977C2311yescharacteristic
374#66977C2311yescharacteristic
375#66977C2311yescharacteristic
376#66977C2311yescharacteristic
377#66977C2311yescharacteristic
378#66977C2311yescharacteristic
379C2×Dic11⋊C4—21no—
380C2×#4318C2311yescharacteristic
381C22×C11⋊C8C2311yescharacteristic
382#66971—42no—
383#66968—42no—
384#66968—42no—
385#66964—42no—
386C2×Dic44C2311yescharacteristic
387C2×Dic44C2311yescharacteristic
388C2×#4314C2311yescharacteristic
389C2×#4314C2311yescharacteristic
390C2×#4313C2311yescharacteristic
391C2×#4313C2311yescharacteristic
392C2×#4313C2311yescharacteristic
393C2×#4313C2311yescharacteristic
394#66951—21no—
395#66951—21no—
396#66950C2311yescharacteristic
397#66950C2311yescharacteristic
398#66949—21no—
399#66949—21no—
400#66949—21no—
401#66945C2311yescharacteristic
402C4⋊C4×D11—21no—
403C4⋊C4×D11C2311yescharacteristic
404#66943—21no—
405#66943C2311yescharacteristic
406#66942—21no—
407#66942—21no—
408#66942—21no—
409#66941—21no—
410#66941C2311yescharacteristic
411#66940—21no—
412#66940C2311yescharacteristic
413#66940C2311yescharacteristic
414#66938—21no—
415#66938—21no—
416#66936—21no—
417(C22⋊D11)⋊C4—21no—
418(C22⋊D11)⋊C4—21no—
419(C22⋊D11)⋊C4—21no—
420C22⋊C4×D11—21no—
421#66932—21no—
422#66932—21no—
423#66932—21no—
424#66932—21no—
425#66932—21no—
426#66931—21no—
427#66931—21no—
428#66931—21no—
429#66931—21no—
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455C22⋊(C11⋊C8)C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464#66882C2311yescharacteristic
465#66882C2311yescharacteristic
466#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66879C2311yescharacteristic
475#66879C2311yescharacteristic
476Dic11⋊C8C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479Dic11⋊C8C2311yescharacteristic
480C8×Dic11C2311yescharacteristic
481C8×Dic11C2311yescharacteristic
482#66874C2311yescharacteristic
483#66874C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#61654—111nomaximal, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C24×C11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—22no—
499C11×#41—22no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—41no—
504C11×#41—44no—
505C11×#41—41no—
506C11×#41—41no—
507C2×Q8×C11C2×D411yescharacteristic
508C2×Q8×C11C2411yescharacteristic
509C2×Q8×C11C2411yescharacteristic
510C2×D4×C11—21no—
511C2×D4×C11—22no—
512C2×D4×C11—22no—
513C2×D4×C11—21no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11—21no—
517C2×D4×C11—21no—
518C2×D4×C11—21no—
519C2×D4×C11—21no—
520C2×D4×C11—21no—
521C2×D4×C11—41no—
522C2×D4×C11—41no—
523C2×D4×C11—41no—
524C2×D4×C11—41no—
525C2×D4×C11—44no—
526C2×D4×C11—44no—
527C2×D4×C11—44no—
528C2×D4×C11C2×D411yescharacteristic
529C2×D4×C11C2×D411yescharacteristic
530C2×D4×C11C2×D411yescharacteristic
531C2×D4×C11C2411yescharacteristic
532C2×D4×C11C2411yescharacteristic
533C2×D4×C11C2411yescharacteristic
534C2×D4×C11C2411yescharacteristic
535C22×C4×C11—21no—
536C22×C4×C11—21no—
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11C2411yescharacteristic
541C22×C4×C11C2411yescharacteristic
542C22×C4×C11C2411yescharacteristic
543C2×C22⋊D11—21no—
544C2×C22⋊D11—21no—
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—21no—
551C2×C22⋊D11—21no—
552C2×C22⋊D11—21no—
553C2×C22⋊D11—21no—
554C2×C22⋊D11—21no—
555C2×C22⋊D11—21no—
556C2×C22⋊D11—21no—
557C2×C22⋊D11—21no—
558C2×C22⋊D11—82no—
559C2×C22⋊D11—82no—
560C2×C22⋊D11—82no—
561C2×C22⋊D11C2×D411yescharacteristic
562C2×C22⋊D11C2×D411yescharacteristic
563C2×C22⋊D11C2×D411yescharacteristic
564C2×C22⋊D11C2×D411yescharacteristic
565C22×Dic11—21no—
566C22×Dic11—21no—
567C22×Dic11—21no—
568C22×Dic11—21no—
569C22×Dic11—21no—
570C22×Dic11—21no—
571C22×Dic11—21no—
572C22×Dic11C2×D411yescharacteristic
573#4343—22no—
574#4343—41no—
575Q8×D11—22no—
576Q8×D11—41no—
577Q8×D11—41no—
578Q8×D11—41no—
579#4341—22no—
580#4341—41no—
581#4341—41no—
582#4341—41no—
583#4341—44no—
584D4×D11—22no—
585D4×D11—41no—
586D4×D11—44no—
587#4339—41no—
588#4339—41no—
589#4339—44no—
590C2×D44—21no—
591C2×D44C2411yescharacteristic
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—41no—
598C2×C4×D11—41no—
599C2×C4×D11—44no—
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2411yescharacteristic
603C2×C4×D11C2411yescharacteristic
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22—21no—
608C2×Dic22—41no—
609C2×Dic22—41no—
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—22no—
614C11×SD16—22no—
615C11×SD16—22no—
616C11×SD16—41no—
617C11×SD16—41no—
618C11×D8—22no—
619C11×D8—41no—
620C11×D8—41no—
621C11×M16—41no—
622C2×C8×C11—41no—
623C2×C8×C11C2411yescharacteristic
624C2×C8×C11C2411yescharacteristic
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4C2411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11C2×D411yescharacteristic
658C22⋊Dic11C2×D411yescharacteristic
659C22⋊Dic11C2×D411yescharacteristic
660C22⋊Dic11C2×D411yescharacteristic
661C22⋊Dic11C2×D411yescharacteristic
662C22⋊Dic11C2×D411yescharacteristic
663#4326—22no—
664#4326—22no—
665#4326—41no—
666#4325—41no—
667#4324—22no—
668#4324—22no—
669#4324—41no—
670#4324—41no—
671#4324—41no—
672#4324—41no—
673#4324—41no—
674#4323—41no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11C2×D411yescharacteristic
693C4⋊Dic11C2×D411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
695C4⋊Dic11C2411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11C2411yescharacteristic
724C4×Dic11C2411yescharacteristic
725#4318—41no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731Dic44—41no—
732Dic44—41no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738#4313—41no—
739#3541—111no—
740#3488—111no—
741#3333—111no—
742#3327—111no—
743#3324—111no—
744#3322—111no—
745#3314—111no—
746#3313—111no—
747#3310—111no—
748#3309—111no—
749#3278—111no—
750#3277—111no—
751#3275—111no—
752#3272—111no—
753#3271—111no—
754#3269—111no—
755#3266—111no—
756#3265—111no—
757#3224—111no—
758#3222—111no—
759#3203—111no—
760#3201—111no—
761#3194—111no—
762#3193—111no—
763#3124—111no—
764#3120—111no—
765#3012D1111yescharacteristic, complemented
766#3009—111no—
767#3007—111no—
768#3005—111no—
769#2978—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—21no—
774C23×C11—42no—
775C23×C11—42no—
776C23×C11—42no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11—81no—
780C23×C11—81no—
781C23×C11—81no—
782C23×C11—81no—
783C23×C11C22×D411yescharacteristic
784C23×C11C22×D411yescharacteristic
785C23×C11C22×D411yescharacteristic
786C22×D11—21no—
787C22×D11—41no—
788C22×D11—41no—
789C22×D11—41no—
790C22×D11—42no—
791C22×D11—42no—
792C22×D11—81no—
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—41no—
799Q8×C11H(5,𝔽2)12yes—
800D4×C11—24no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—41no—
809D4×C11—41no—
810D4×C11—41no—
811D4×C11—42no—
812D4×C11—42no—
813D4×C11—42no—
814D4×C11—42no—
815D4×C11—42no—
816D4×C11—81no—
817D4×C11—81no—
818D4×C11—81no—
819D4×C11H(5,𝔽2)12yes—
820C2×C4×C11—24no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—21no—
830C2×C4×C11—21no—
831C2×C4×C11—42no—
832C2×C4×C11—42no—
833C2×C4×C11—81no—
834C2×C4×C11—81no—
835C2×C4×C11C22×D411yescharacteristic
836C2×C4×C11C22×D411yescharacteristic
837C2×C4×C11C22×D411yescharacteristic
838C2×C4×C11C2511yescharacteristic
839C22⋊D11—41no—
840C22⋊D11—41no—
841C22⋊D11—41no—
842C22⋊D11—41no—
843C22⋊D11—42no—
844C22⋊D11—42no—
845C22⋊D11—42no—
846C22⋊D11—42no—
847C22⋊D11—42no—
848C22⋊D11—42no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C22⋊D11—81no—
853C22⋊D11—81no—
854C22⋊D11—81no—
855C22⋊D11—81no—
856C22⋊D11—81no—
857C22⋊D11—81no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—21no—
864C2×Dic11—21no—
865C2×Dic11—41no—
866C2×Dic11—42no—
867C2×Dic11—81no—
868C2×Dic11—81no—
869C2×Dic11—81no—
870C2×Dic11—81no—
871C2×Dic11—81no—
872C2×Dic11—81no—
873C2×Dic11C22×D411yescharacteristic
874C2×Dic11C22×D411yescharacteristic
875C2×Dic11C22×D411yescharacteristic
876C2×Dic11C22×D411yescharacteristic
877C2×Dic11C22×D411yescharacteristic
878C2×Dic11C22×D411yescharacteristic
879D44—21no—
880D44—21no—
881D44—42no—
882C4×D11—21no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—41no—
887C4×D11—41no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—81no—
892C4×D11—81no—
893Dic22—21no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—42no—
900Dic22—81no—
901Dic22—81no—
902Dic22—81no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C2×H(5,𝔽2)C2×D1111yescharacteristic
912C22×#41—111no—
913C2×#137—111no—
914C2×#137—111no—
915C2×#137—111no—
916C2×#137—111no—
917C2×AGL(1,ℤ/8)—111no—
918C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
919C2×#135C2×D1111yescharacteristic, complemented
920C22×SD16—111no—
921#563—221no—
922#562—221no—
923#556—111no—
924#554—111no—
925#554—221no—
926#553—111no—
927#553—221no—
928#552—111no—
929#550—111no—
930#550—111no—
931D4×Q8—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#548—111no—
936#547—111no—
937#546—111no—
938#546—111no—
939#546—221no—
940#546—221no—
941D42—111no—
942D42—111no—
943D42—221no—
944D42—221no—
945#542—111no—
946#542—221no—
947#541—111no—
948#539—221no—
949#538—221no—
950#538—221no—
951#537—111no—
952#537—221no—
953#537C2×D1111yescharacteristic, complemented
954#536—111no—
955#535—111no—
956#535—221no—
957#525—111no—
958#525—111no—
959#525—221no—
960C2×C22⋊Q8—111no—
961C2×#121—111no—
962C2×#121—221no—
963#520—111no—
964#497—111no—
965#496—111no—
966#495—111no—
967#492—111no—
968#490—111no—
969#489—111no—
970#488—111no—
971#486—111no—
972#485—111no—
973#484—111no—
974#484—111no—
975#484—111no—
976#483—111no—
977#482—111no—
978#482—111no—
979#482—111no—
980#480—111no—
981#480—111no—
982#480—111no—
983#480—111no—
984#479—111no—
985#478—111no—
986#477—111no—
987#474—111no—
988#470—111no—
989#469—111no—
990#469—111no—
991#468—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#468—111no—
997#468—111no—
998#468—111no—
999#468—111no—
1000#467—111no—
1001#467—111no—
1002#466—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#462—111no—
1011#461—111no—
1012#460—111no—
1013#460—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452C2×D1111yescharacteristic
1027#452C2×D1111yescharacteristic, complemented
1028#451—111no—
1029#451—111no—
1030#451—111no—
1031#450—111no—
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#450—111no—
1037#450C2×D1111yescharacteristic, complemented
1038#450C2×D1111yescharacteristic, complemented
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449C2×D1111yescharacteristic
1046#449C2×D1111yescharacteristic, complemented
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#447C2×D1111yescharacteristic, complemented
1051#447C2×D1111yescharacteristic, complemented
1052#441—111no—
1053#440—111no—
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×Q16—111no—
1058C4×SD16—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#436—111no—
1063#436—111no—
1064#435—111no—
1065#435—111no—
1066#435—111no—
1067#435—111no—
1068#433—111no—
1069#433—111no—
1070#419—111no—
1071#418—111no—
1072#418—111no—
1073#417—111no—
1074#417—111no—
1075#417C2×D1111yescharacteristic, complemented
1076#416—111no—
1077C2×#102C2×D1111yescharacteristic, complemented
1078#408—111no—
1079#408C2×D1111yescharacteristic, complemented
1080#407—111no—
1081#407—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—22no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11—41no—
1100C22×C11—41no—
1101C22×C11—41no—
1102C22×C11—41no—
1103C22×C11—162no—
1104C22×C11—162no—
1105C22×C11—162no—
1106C22×C11C23×D411yescharacteristic
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—21no—
1112C2×D11—21no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—41no—
1116C2×D11—82no—
1117C2×D11—84no—
1118C4×C11—21no—
1119C4×C11—22no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11C2×H(5,𝔽2)11yescharacteristic
1126C4×C11C2×H(5,𝔽2)11yescharacteristic
1127Dic11—21no—
1128Dic11—21no—
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—41no—
1134Dic11—41no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140H(5,𝔽2)—42no—
1141H(5,𝔽2)—42no—
1142C2×#41—21no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—221no—
1148C2×#41—221no—
1149C2×#41—442no—
1150C2×#41—442no—
1151C2×#41C22×D1111yescharacteristic
1152C2×#41C22×D1111yescharacteristic
1153C2×#41C22×D1111yescharacteristic
1154C2×#41C22×D1111yescharacteristic
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×D4—21no—
1160C22×D4—21no—
1161C22×D4—21no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4C22×D1111yescharacteristic
1168C22×D4C22×D1111yescharacteristic
1169C22×D4C22×D1111yescharacteristic
1170C23×C4—111no—
1171C23×C4—221no—
1172#137—442no—
1173#137—442no—
1174#137—442no—
1175#137—442no—
1176AGL(1,ℤ/8)—42no—
1177AGL(1,ℤ/8)—442no—
1178#135—42no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—111no—
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—442no—
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×D8—111no—
1201C2×D8C22×D1111yescharacteristic
1202C2×D8C22×D1111yescharacteristic
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C2×M16—111no—
1209C2×M16C22×D1111yescharacteristic
1210C22×C8—111no—
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—111no—
1213C4⋊Q8—111no—
1214C4⋊Q8—221no—
1215C4⋊Q8—221no—
1216#127—111no—
1217#127—111no—
1218#127—221no—
1219#127—221no—
1220#126—221no—
1221#126—221no—
1222#126—221no—
1223#126—221no—
1224#126—221no—
1225#126—221no—
1226#126—221no—
1227#125—111no—
1228#125—221no—
1229#125—221no—
1230#125—221no—
1231#125—221no—
1232#124—111no—
1233#124—111no—
1234#124—111no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#124—221no—
1242#123—111no—
1243#123—111no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254C22⋊Q8—21no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—111no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8C22×D1111yescharacteristic
1279C22⋊Q8C22×D1111yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—111no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121C22×D1111yescharacteristic
1314#121C22×D1111yescharacteristic
1315#120—111no—
1316#120—111no—
1317#120—221no—
1318#120—221no—
1319#120—221no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326C4×Q8—111no—
1327C4×Q8—111no—
1328C4×Q8—111no—
1329C4×Q8—111no—
1330C4×Q8—111no—
1331C4×Q8—221no—
1332C4×D4—111no—
1333C4×D4—111no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
1337C4×D4—111no—
1338C4×D4—111no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352#117—111no—
1353#117—111no—
1354#117—111no—
1355#117—221no—
1356#117—221no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—221no—
1360C2×C4⋊C4—221no—
1361C2×C4⋊C4—221no—
1362C2×C4⋊C4C22×D1111yescharacteristic
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C22⋊C4—221no—
1366C2×C22⋊C4—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#107—111no—
1372#107—111no—
1373#106—111no—
1374#106—111no—
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102C22×D1111yescharacteristic
1406#102C22×D1111yescharacteristic
1407#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8C22×D1111yescharacteristic
1420C22⋊C8C22×D1111yescharacteristic
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97—111no—
1425C4×C8—111no—
1426C4×C8—111no—
1427C2×C11—41no—
1428C2×C11—42no—
1429C2×C11—41no—
1430C2×C11—41no—
1431C2×C11—81no—
1432C2×C11—81no—
1433C2×C11—81no—
1434C2×C11#348411yescharacteristic
1435C2×C11#358511yescharacteristic
1436C2×C11#358611yescharacteristic
1437D11—41no—
1438D11—41no—
1439D11—81no—
1440C24—21no—
1441C24—21no—
1442C24—21no—
1443C24—111no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—44no—
1454#41—41no—
1455#41—41no—
1456#41—222no—
1457#41—222no—
1458#41—441no—
1459#41—441no—
1460#41—444no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—444no—
1466C2×Q8—111no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—221no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—221no—
1473C2×Q8—222no—
1474C2×Q8—441no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8D4×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—21no—
1483C2×D4—22no—
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—111no—
1501C2×D4—111no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—222no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—441no—
1523C2×D4—444no—
1524C2×D4—882no—
1525C2×D4—882no—
1526C2×D4—882no—
1527C2×D4D4×D1111yescharacteristic
1528C2×D4D4×D1111yescharacteristic
1529C2×D4D4×D1111yescharacteristic
1530C2×D4C23×D1111yescharacteristic
1531C2×D4C23×D1111yescharacteristic
1532C2×D4C23×D1111yescharacteristic
1533C2×D4C23×D1111yescharacteristic
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—111no—
1543C22×C4—111no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—221no—
1555C22×C4—221no—
1556C22×C4—441no—
1557C22×C4—441no—
1558C22×C4—444no—
1559C22×C4C23×D1111yescharacteristic
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—22no—
1563Q16—222no—
1564Q16—222no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—222no—
1573SD16—222no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580SD16—441no—
1581SD16—441no—
1582D8—22no—
1583D8—41no—
1584D8—41no—
1585D8—441no—
1586M16—41no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590M16—441no—
1591M16—441no—
1592C2×C8—41no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
1596C2×C8—111no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—111no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
1614C4⋊C4—111no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4C23×D1111yescharacteristic
1637C4⋊C4C23×D1111yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—111no—
1651C22⋊C4—111no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4—221no—
1678C22⋊C4—221no—
1679C42—111no—
1680C42—111no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42—221no—
1688C11#6165411yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—111no—
1703C23—111no—
1704C23—221no—
1705C23—441no—
1706C23—441no—
1707C23—441no—
1708C23—442no—
1709C23—442no—
1710C23—881no—
1711C23C2×D4×D1111yescharacteristic
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—41no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—442no—
1725Q8—881no—
1726Q8—881no—
1727Q8—881no—
1728Q8#6703712yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—42no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—221no—
1749D4—221no—
1750D4—442no—
1751D4—441no—
1752D4—441no—
1753D4—441no—
1754D4—441no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—442no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4#6703712yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—111no—
1789C2×C4—111no—
1790C2×C4—111no—
1791C2×C4—111no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—221no—
1802C2×C4—221no—
1803C2×C4—441no—
1804C2×C4—441no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—441no—
1809C2×C4—442no—
1810C2×C4—881no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4—881no—
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—22no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—162no—
1852C22—162no—
1853C22—162no—
1854C22—221no—
1855C22—221no—
1856C22—221no—
1857C22—221no—
1858C22—221no—
1859C22—221no—
1860C22—441no—
1861C22—441no—
1862C22—441no—
1863C22—882no—
1864C22—884no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—221no—
1874C4—221no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—441no—
1880C4—441no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6703711yescharacteristic
1887C4C2×#6703711yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—81no—
1895C2—441no—
1896C2—441no—
1897C2—881no—
1898C2#1308224511yescharacteristic
1899C2#1308339111yescharacteristic
1900C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3012C2
socleC22×C11C23×D4
hypercenter#3012D11
hypocenterC11#61654
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #13082897C2semidirect
2. #13082278C2semidirect
3. #13080950C2semidirect
4. #13080885C2semidirect
5. #13080840C2semidirect
6. #13080821C2semidirect
7. #13080693C2semidirect
8. #13080686C2semidirect
9. #13080633C2semidirect
10. #13080626C2semidirect
11. #13080275C2semidirect
12. #13080266C2semidirect
13. #13080247C2semidirect
14. #13080210C2semidirect
15. #13080201C2semidirect
16. #13080171C2semidirect
17. #13080130C2semidirect
18. #13080115C2semidirect
19. #13079706C2semidirect
20. #13079684C2semidirect
21. #13079513C2semidirect
22. #13079500C2semidirect
23. #13079427C2semidirect
24. #13079419C2semidirect
25. #13078871C2semidirect
26. #13078823C2semidirect
27. #13077893C2semidirect
28. #13077873C2semidirect
29. #13077854C2semidirect
30. #13077674C2semidirect
31. C11×#3012C2semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
35. C2×C11×#135C22semidirect
36. C11×#537C22semidirect
43. #10623362C22semidirect
47. #10623356C22semidirect
48. #10623355C22semidirect
49. C2×#67004C22semidirect
62. C22×#4324C22semidirect
63. C2×#66971C22semidirect
64. C2×#66968C22semidirect
65. C2×#66968C22semidirect
66. C2×#66964C22semidirect
68. #10623172C22semidirect
70. #10623163C22semidirect
71. D11×C22⋊Q8C22semidirect
72. #10623156C22semidirect
75. #10623145C22semidirect
78. #10623137C22semidirect
80. #10623134C22semidirect
82. #10623129C22semidirect
83. #10623044C22semidirect
84. #10623042C22semidirect
86. C11×#452C22semidirect
87. C11×#450C22semidirect
88. C11×#450C22semidirect
90. C11×#449C22semidirect
91. C11×#447C22semidirect
92. C11×#447C22semidirect
93. C11×#417C22semidirect
94. C2×C11×#102C22semidirect
95. C11×#408C22semidirect
98. #10622852C22semidirect
99. #10622852C22semidirect
100. #10622852C22semidirect
101. #10622851C22semidirect
102. #10622847C22semidirect
103. #10622846C22semidirect
104. #10622831C22semidirect
105. #10622831C22semidirect
106. #10622831C22semidirect
107. #10622831C22semidirect
108. #10622828C22semidirect
109. #10622799C22semidirect
110. #10622797C22semidirect
111. #10622795C22semidirect
112. #10622788C22semidirect
113. #10622787C22semidirect
114. #10622787C22semidirect
115. #10622785C22semidirect
116. #10622783C22semidirect
117. #10622783C22semidirect
118. #10622782C22semidirect
119. #10622780C22semidirect
120. #10622779C22semidirect
121. #10622779C22semidirect
122. #10622777C22semidirect
123. #10622776C22semidirect
124. #10622775C22semidirect
125. SD16×Dic11C22semidirect
126. #10622772C22semidirect
127. #10622772C22semidirect
128. #10622771C22semidirect
129. #10622771C22semidirect
130. #10622771C22semidirect
131. #10622768C22semidirect
132. #10622767C22semidirect
133. #10622766C22semidirect
134. #10622766C22semidirect
135. #10622763C22semidirect
136. D8×Dic11C22semidirect
137. #10622750C22semidirect
138. #10622747C22semidirect
139. #10622741C22semidirect
140. #10622741C22semidirect
141. #10622729C22semidirect
142. #10622727C22semidirect
143. #10622724C22semidirect
144. #10622724C22semidirect
145. #10622664C22semidirect
146. #10622662C22semidirect
147. #10622660C22semidirect
148. #10622657C22semidirect
149. #10622655C22semidirect
150. #10622651C22semidirect
151. #10622650C22semidirect
152. #10622646C22semidirect
153. #10622583C22semidirect
154. #10622580C22semidirect
155. #10622423C22semidirect
156. #10622421C22semidirect
157. #10622416C22semidirect
158. #10622415C22semidirect
159. #10622412C22semidirect
160. #10622407C22semidirect
161. #10622403C22semidirect
162. #10622403C22semidirect
163. #10622396C22semidirect
164. #10622393C22semidirect
165. #10622393C22semidirect
166. #10622393C22semidirect
167. #10622393C22semidirect
168. #10622392C22semidirect
169. #10622392C22semidirect
170. #10622389C22semidirect
171. #10622387C22semidirect
172. #10622387C22semidirect
173. #10622384C22semidirect
174. #10622383C22semidirect
175. #10622381C22semidirect
176. #10622380C22semidirect
177. #10622380C22semidirect
178. #10622378C22semidirect
179. #10622377C22semidirect
180. #10622376C22semidirect
181. #10622375C22semidirect
182. #10622375C22semidirect
183. #10622373C22semidirect
184. #10622372C22semidirect
185. #10622370C22semidirect
186. #10622370C22semidirect
187. #10622352C22semidirect
188. #10622351C22semidirect
189. #10622350C22semidirect
190. #10622346C22semidirect
191. #10622346C22semidirect
192. #10622343C22semidirect
193. #10622343C22semidirect
194. #10622342C22semidirect
195. #10622342C22semidirect
196. #10622339C22semidirect
197. #10622339C22semidirect
198. #10622336C22semidirect
199. #10622335C22semidirect
200. #10622334C22semidirect
201. #10622333C22semidirect
202. #10622333C22semidirect
765. #3012D11semidirect
918. C2×AGL(1,ℤ/8)C2×D11semidirect
919. C2×#135C2×D11semidirect
953. #537C2×D11semidirect
1027. #452C2×D11semidirect
1037. #450C2×D11semidirect
1038. #450C2×D11semidirect
1046. #449C2×D11semidirect
1050. #447C2×D11semidirect
1051. #447C2×D11semidirect
1075. #417C2×D11semidirect
1077. C2×#102C2×D11semidirect
1079. #408C2×D11semidirect
1688. C11#61654semidirect

Maximal subgroups

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

subgroupindex
#130828972
#130822782
#130809502
#130808852
#130808402
#130808212
#130806932
#130806862
#130806332
#130806262
#130802752
#130802662
#130802472
#130802102
#130802012
#130801712
#130801302
#130801152
#130797062
#130796842
#130795132
#130795002
#130794272
#130794192
#130788712
#130788232
#130778932
#130778732
#130778542
#130776742
C11×#30122
#6165411