Finite Group Databasebeta

← #15639254

Subgroups — #15639254

Order 2816.

2138 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082445C211yesmaximal, characteristic, complemented
2#13082100C211yesmaximal, characteristic, complemented
3#13080883C211yesmaximal, characteristic, complemented
4#13080829C211yesmaximal, characteristic, complemented
5#13080785C211yesmaximal, characteristic, complemented
6#13080753C211yesmaximal, characteristic, complemented
7#13080740C211yesmaximal, characteristic, complemented
8#13080708C211yesmaximal, characteristic, complemented
9#13080512C211yesmaximal, characteristic, complemented
10#13080359C211yesmaximal, characteristic, complemented
11#13080319C211yesmaximal, characteristic, complemented
12#13080253C211yesmaximal, characteristic, complemented
13#13080226C211yesmaximal, characteristic, complemented
14#13080183C211yesmaximal, characteristic, complemented
15#13080153C211yesmaximal, characteristic, complemented
16#13080134C211yesmaximal, characteristic, complemented
17#13080115C211yesmaximal, characteristic, complemented
18#13079652C211yesmaximal, characteristic, complemented
19#13079593C211yesmaximal, characteristic, complemented
20#13079456C211yesmaximal, characteristic, complemented
21#13079451C211yesmaximal, characteristic, complemented
22#13079403C211yesmaximal, characteristic, complemented
23#13079382C211yesmaximal, characteristic, complemented
24#13078730C211yesmaximal, characteristic, complemented
25#13078630C211yesmaximal, characteristic, complemented
26#13077863C211yesmaximal, characteristic, complemented
27#13077854C211yesmaximal, characteristic, complemented
28#13077836C211yesmaximal, characteristic, complemented
29C2×#10622396C211yesmaximal, characteristic, complemented
30#13077649C211yesmaximal, characteristic, complemented
31C11×#3297C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C22×#4341C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic, complemented
36#10623355C2211yescharacteristic
37C2×#67003C2211yescharacteristic, complemented
38D4×C22⋊D11C2211yescharacteristic, complemented
39C22×#4324C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66964C2211yescharacteristic, complemented
42C2×#66964C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44C22×Dic44C2211yescharacteristic, complemented
45C2×#66957C2211yescharacteristic, complemented
46#10623238—21no—
47#10623236—21no—
48#10623225C2211yescharacteristic, complemented
49#10623222C2211yescharacteristic, complemented
50#10623208C2211yescharacteristic
51#10623199C2211yescharacteristic, complemented
52#10623189—21no—
53#10623188—21no—
54#10623187—21no—
55#10623186—21no—
56#10623163C2211yescharacteristic, complemented
57#10623158C2211yescharacteristic
58#10623149—21no—
59#10623143C2211yescharacteristic, complemented
60#10623141—21no—
61#10623137C2211yescharacteristic, complemented
62#10623137C2211yescharacteristic, complemented
63#10623136—21no—
64D11×#121C2211yescharacteristic, complemented
65#10623130C2211yescharacteristic
66#10623129C2211yescharacteristic
67#10623127—21no—
68#10623121—21no—
69#10623117—21no—
70#10623096—21no—
71#10623088C2211yescharacteristic, complemented
72#10623085C2211yescharacteristic
73#10623085C2211yescharacteristic, complemented
74#10623083C2211yescharacteristic, complemented
75#10623083C2211yescharacteristic, complemented
76#10623076—21no—
77C4×D4×D11C2211yescharacteristic
78C4×#4341C2211yescharacteristic, complemented
79#10623060C2211yescharacteristic, complemented
80#10623055C2211yescharacteristic, complemented
81#10623045C2211yescharacteristic
82C2×#66950C2211yescharacteristic, complemented
83#10623021—21no—
84C2×(C22⋊D11)⋊C4—21no—
85C11×#488C2211yescharacteristic, complemented
86C11×#484C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#466C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#447C2211yescharacteristic, complemented
94C4×C11×D8C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96C11×#416C2211yescharacteristic, complemented
97C2×C11×#102C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622830C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622782C2211yescharacteristic, complemented
102#10622780C2211yescharacteristic, complemented
103#10622771C2211yescharacteristic
104#10622771C2211yescharacteristic, complemented
105#10622771C2211yescharacteristic, complemented
106#10622767C2211yescharacteristic, complemented
107#10622766C2211yescharacteristic, complemented
108#10622729C2211yescharacteristic, complemented
109#10622728C2211yescharacteristic, complemented
110#10622724C2211yescharacteristic, complemented
111#10622724C2211yescharacteristic, complemented
112C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622663C2211yescharacteristic, complemented
119#10622661C2211yescharacteristic, complemented
120#10622654C2211yescharacteristic, complemented
121#10622654C2211yescharacteristic, complemented
122#10622653C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126C4×#4324C2211yescharacteristic, complemented
127C4×#4324C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130D4×C11⋊C8C2211yescharacteristic, complemented
131#10622615C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133C2×#66874C2211yescharacteristic, complemented
134#10622581C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622501C2211yescharacteristic, complemented
137#10622501C2211yescharacteristic, complemented
138#10622501C2211yescharacteristic, complemented
139#10622499C2211yescharacteristic, complemented
140#10622499C2211yescharacteristic, complemented
141#10622499C2211yescharacteristic, complemented
142#10622490C2211yescharacteristic, complemented
143#10622481C2211yescharacteristic, complemented
144#10622479C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622466C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622451C2211yescharacteristic, complemented
150#10622448C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622429C2211yescharacteristic, complemented
154#10622424C2211yescharacteristic, complemented
155#10622423C2211yescharacteristic, complemented
156#10622423C2211yescharacteristic, complemented
157#10622422C2211yescharacteristic, complemented
158#10622421C2211yescharacteristic, complemented
159#10622419C2211yescharacteristic, complemented
160#10622415C2211yescharacteristic, complemented
161#10622410C2211yescharacteristic, complemented
162#10622406C2211yescharacteristic, complemented
163#10622399C2211yescharacteristic, complemented
164#10622398C2211yescharacteristic, complemented
165#10622397C2211yescharacteristic, complemented
166#10622397C2211yescharacteristic, complemented
167#10622396C2211yescharacteristic, complemented
168#10622396C2211yescharacteristic, complemented
169#10622396C2211yescharacteristic, complemented
170#10622396C2211yescharacteristic, complemented
171#10622396C2211yescharacteristic, complemented
172#10622396C2211yescharacteristic, complemented
173#10622396C2211yescharacteristic, complemented
174#10622396C2211yescharacteristic, complemented
175#10622396C2211yescharacteristic, complemented
176#10622395C2211yescharacteristic, complemented
177#10622394C2211yescharacteristic
178#10622394C2211yescharacteristic, complemented
179#10622393C2211yescharacteristic, complemented
180#10622389C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622379C2211yescharacteristic, complemented
188#10622377C2211yescharacteristic, complemented
189#10622375C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622351C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622343C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207C23×Dic11—21no—
208#41×D11—42no—
209#41×D11—42no—
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×#4341—21no—
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341—42no—
216C2×#4341—42no—
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11D411yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×D8C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C22×C8×C11C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#126—21no—
241C11×#125C2311yescharacteristic
242C11×#124C2311yescharacteristic
243C11×#123—21no—
244C11×#123—21no—
245C11×C22⋊Q8C2311yescharacteristic
246C11×#121—21no—
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#120—21no—
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C4×D4×C11C2311yescharacteristic
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4—21no—
259#67006—21no—
260#67003—42no—
261#66999C2311yescharacteristic
262#66997C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266#66993—21no—
267#66993C2311yescharacteristic
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66991—21no—
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66990—21no—
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66989C2311yescharacteristic
283#66988—21no—
284D4×Dic11—21no—
285D4×Dic11—21no—
286D4×Dic11—21no—
287D4×Dic11D411yescharacteristic
288D4×Dic11C2311yescharacteristic
289C2×#4324—42no—
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295C2×#4324C2311yescharacteristic
296C2×#4323C2311yescharacteristic
297C2×#4323C2311yescharacteristic
298C2×#4323C2311yescharacteristic
299#66983—21no—
300#66983—21no—
301#66983—21no—
302#66983C2311yescharacteristic
303#66983C2311yescharacteristic
304#66982—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11C2311yescharacteristic
309C4×C22⋊D11C2311yescharacteristic
310C2×(C2×D11)⋊C4—21no—
311C2×(C2×D11)⋊C4—21no—
312C2×(C2×D11)⋊C4—21no—
313#66979—21no—
314C2×C4⋊Dic11—21no—
315#66977C2311yescharacteristic
316#66977C2311yescharacteristic
317C2×Dic11⋊C4—21no—
318C2×C4×Dic11—21no—
319C22×C11⋊C8C2311yescharacteristic
320C22×C11⋊C8C2311yescharacteristic
321#66968—42no—
322#66964—42no—
323#66964—42no—
324#66964—42no—
325C2×Dic44—42no—
326C2×Dic44C2311yescharacteristic
327C2×Dic44C2311yescharacteristic
328C2×Dic44C2311yescharacteristic
329C2×Dic44C2311yescharacteristic
330#66957—42no—
331C2×D88C2311yescharacteristic
332C2×#4314C2311yescharacteristic
333C2×#4314C2311yescharacteristic
334C2×#4314C2311yescharacteristic
335C2×#4314C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×#4313C2311yescharacteristic
340#66951—21no—
341#66951—21no—
342#66951—21no—
343#66950—21no—
344#66950—21no—
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66950C2311yescharacteristic
349#66950C2311yescharacteristic
350#66950C2311yescharacteristic
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66948C2311yescharacteristic
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66946—21no—
362#66946—21no—
363#66946D411yescharacteristic
364#66946C2311yescharacteristic
365#66945—21no—
366#66945—21no—
367#66945C2311yescharacteristic
368#66945C2311yescharacteristic
369C4⋊C4×D11D411yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371#66943—21no—
372#66943C2311yescharacteristic
373#66941—21no—
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66935—21no—
394#66935—21no—
395#66935—21no—
396#66935—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4D411yescharacteristic
409(C22⋊D11)⋊C4D411yescharacteristic
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11D411yescharacteristic
413C22⋊C4×D11D411yescharacteristic
414#66932—21no—
415#66932—21no—
416#66931—21no—
417#66931—21no—
418#66931—21no—
419#66930—21no—
420#66928C2311yescharacteristic
421#66928C2311yescharacteristic
422C4×D44—21no—
423C4×D44—21no—
424C4×D44C2311yescharacteristic
425#66925—21no—
426C42×D11C2311yescharacteristic
427#66923—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463#66882C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469#66879C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66872C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—41no—
498C2×Q8×C11C2411yescharacteristic
499C2×D4×C11—22no—
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×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11C2411yescharacteristic
515C22×C4×C11C2411yescharacteristic
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
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—44no—
532C2×C22⋊D11—44no—
533C2×C22⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—44no—
544C22×Dic11C2×D411yescharacteristic
545C22×Dic11C2×D411yescharacteristic
546#4343—41no—
547#4343—41no—
548Q8×D11—22no—
549Q8×D11—41no—
550#4341—22no—
551#4341—22no—
552#4341—22no—
553#4341—22no—
554#4341—41no—
555#4341—41no—
556#4341—41no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—44no—
561#4341—44no—
562#4341—44no—
563D4×D11—22no—
564D4×D11—42no—
565D4×D11—41no—
566D4×D11—41no—
567D4×D11—41no—
568D4×D11—44no—
569D4×D11—44no—
570#4339—22no—
571#4339—41no—
572#4339—41no—
573#4339—41no—
574#4339—44no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44—21no—
579C2×D44C2×D411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—41no—
589C2×C4×D11—41no—
590C2×C4×D11—41no—
591C2×C4×D11—41no—
592C2×C4×D11—44no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×C4×D11C2411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×Dic22—22no—
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—41no—
607C2×Dic22—41no—
608C2×Dic22—41no—
609C2×Dic22C2411yescharacteristic
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×SD16—41no—
614C11×D8—22no—
615C11×D8—41no—
616C2×C8×C11—41no—
617C2×C8×C11—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4C2×D411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4C2×D411yescharacteristic
641C11×C22⋊C4C2×D411yescharacteristic
642C42×C11—21no—
643C42×C11C2411yescharacteristic
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11C2×D411yescharacteristic
652C22⋊Dic11C2×D411yescharacteristic
653#4326—41no—
654#4326—41no—
655#4325—41no—
656#4324—22no—
657#4324—22no—
658#4324—22no—
659#4324—41no—
660#4324—41no—
661#4324—41no—
662#4323—22no—
663#4323—41no—
664#4323—41no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2411yescharacteristic
720C2×C11⋊C8—41no—
721C2×C11⋊C8—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726Dic44—22no—
727Dic44—22no—
728Dic44—41no—
729Dic44—41no—
730D88—41no—
731#4314—22no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738#4313—41no—
739#3505—111no—
740D4×#41—111no—
741#3327—111no—
742#3323—111no—
743#3320—111no—
744#3318—111no—
745#3317—111no—
746#3315—111no—
747#3301—111no—
748#3297D1111yescharacteristic, complemented
749#3285—111no—
750#3282—111no—
751#3275—111no—
752#3273—111no—
753#3270—111no—
754#3268—111no—
755#3267—111no—
756#3265—111no—
757#3219—111no—
758#3212—111no—
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188—111no—
763#3111—111no—
764#3102—111no—
765#3006—111no—
766#3005—111no—
767#3002—111no—
768C2×#452—111no—
769#2974—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—42no—
774C23×C11—42no—
775C23×C11—81no—
776C23×C11C22×D411yescharacteristic
777C23×C11C22×D411yescharacteristic
778C22×D11—22no—
779C22×D11—21no—
780C22×D11—21no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—41no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11—42no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797D4×C11—22no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—42no—
804D4×C11—42no—
805D4×C11—42no—
806D4×C11—81no—
807D4×C11—81no—
808D4×C11H(5,𝔽2)12yes—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—42no—
819C2×C4×C11—81no—
820C2×C4×C11—81no—
821C2×C4×C11—81no—
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C2511yescharacteristic
827C22⋊D11—24no—
828C22⋊D11—22no—
829C22⋊D11—41no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—42no—
840C22⋊D11—81no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C2×Dic11—24no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—41no—
852C2×Dic11—41no—
853C2×Dic11—42no—
854C2×Dic11—42no—
855C2×Dic11—42no—
856C2×Dic11—42no—
857C2×Dic11—42no—
858C2×Dic11—81no—
859C2×Dic11—81no—
860C2×Dic11C22×D411yescharacteristic
861C2×Dic11C22×D411yescharacteristic
862C2×Dic11C22×D411yescharacteristic
863C2×Dic11C22×D411yescharacteristic
864C2×Dic11C22×D411yescharacteristic
865D44—21no—
866D44—21no—
867D44—21no—
868D44—21no—
869D44—41no—
870D44—42no—
871D44—42no—
872D44—81no—
873D44—81no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—21no—
880C4×D11—41no—
881C4×D11—41no—
882C4×D11—41no—
883C4×D11—41no—
884C4×D11—41no—
885C4×D11—41no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—81no—
891C4×D11—81no—
892Dic22—21no—
893Dic22—21no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—42no—
900Dic22—42no—
901Dic22—81no—
902Dic22H(5,𝔽2)12yes—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C22×#41—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)—111no—
917C2×#135—111no—
918C2×#135—111no—
919C22×Q16—111no—
920C22×SD16—111no—
921#553—111no—
922#553—221no—
923#553—221no—
924#553C2×D1111yescharacteristic, complemented
925#552—111no—
926#552—111no—
927#551—221no—
928#551—221no—
929#550—111no—
930D4×Q8—111no—
931#548—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#547—111no—
936#547—221no—
937#546—111no—
938#546—111no—
939#546—111no—
940#546—221no—
941#546—221no—
942#546C2×D1111yescharacteristic, complemented
943D42—111no—
944D42—221no—
945#539—221no—
946#538—221no—
947#534—221no—
948#532—111no—
949#532—221no—
950#529—111no—
951#529—111no—
952#525—111no—
953#525—111no—
954#525—111no—
955#525—111no—
956#525—221no—
957#525—221no—
958C2×C22⋊Q8—111no—
959C2×#121—111no—
960#518—221no—
961C4×#41—111no—
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495—111no—
967#495—111no—
968#491—111no—
969#490—111no—
970#488—111no—
971#488C2×D1111yescharacteristic, complemented
972#485—111no—
973#485—111no—
974#485—111no—
975#485—111no—
976#484—111no—
977#484C2×D1111yescharacteristic, complemented
978#482—111no—
979#482—111no—
980#482—111no—
981#482C2×D1111yescharacteristic, complemented
982#481—111no—
983#481—111no—
984#479—111no—
985#479—111no—
986#478—111no—
987#478C2×D1111yescharacteristic, complemented
988#470—111no—
989#470—111no—
990#470—111no—
991#469—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#467—111no—
997#466—111no—
998#466—111no—
999#466C2×D1111yescharacteristic, complemented
1000#465—111no—
1001#465—111no—
1002#465—111no—
1003#465C2×D1111yescharacteristic, complemented
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463C2×D1111yescharacteristic, complemented
1012#462—111no—
1013#461—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452—111no—
1029#452—111no—
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449C2×D1111yescharacteristic, complemented
1044#448—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#447—111no—
1049#447—111no—
1050#447—111no—
1051#447C2×D1111yescharacteristic, complemented
1052#442—111no—
1053#441—111no—
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×SD16—111no—
1058C4×SD16—111no—
1059C4×D8C2×D1111yescharacteristic, complemented
1060#436—111no—
1061#436—111no—
1062#435—111no—
1063#435—111no—
1064#435—111no—
1065#435—111no—
1066C8×D4—111no—
1067C8×D4C2×D1111yescharacteristic, complemented
1068#432—111no—
1069#431—111no—
1070#419—111no—
1071#418—111no—
1072#417—111no—
1073#417—111no—
1074#416—111no—
1075#416C2×D1111yescharacteristic, complemented
1076C2×#103—111no—
1077C2×#102C2×D1111yescharacteristic, complemented
1078#407—111no—
1079#407—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—22no—
1087C22×C11—21no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—84no—
1097C22×C11#57512yes—
1098C22×C11C23×D411yescharacteristic
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—82no—
1115C2×D11—82no—
1116C2×D11—84no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11C2×H(5,𝔽2)11yescharacteristic
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129Dic11—21no—
1130Dic11—22no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41—442no—
1156C2×#41C22×D1111yescharacteristic
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4C22×D1111yescharacteristic
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—221no—
1171C23×C4—221no—
1172#137—442no—
1173AGL(1,ℤ/8)—442no—
1174AGL(1,ℤ/8)—442no—
1175AGL(1,ℤ/8)—442no—
1176#135—442no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—111no—
1184C2×Q16—442no—
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—111no—
1196C2×SD16—442no—
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8C22×D1111yescharacteristic
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8C22×D1111yescharacteristic
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—111no—
1213C4⋊Q8—221no—
1214#127—111no—
1215#127—221no—
1216#126—21no—
1217#126—221no—
1218#126—221no—
1219#126—221no—
1220#126—221no—
1221#126—221no—
1222#125—111no—
1223#125—221no—
1224#125—221no—
1225#125C22×D1111yescharacteristic
1226#124—111no—
1227#124—111no—
1228#124—111no—
1229#124—221no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124C22×D1111yescharacteristic
1234#123—21no—
1235#123—21no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8C22×D1111yescharacteristic
1268#121—21no—
1269#121—21no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121C22×D1111yescharacteristic
1294#121C22×D1111yescharacteristic
1295#121C22×D1111yescharacteristic
1296#120—21no—
1297#120—221no—
1298#120—221no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×D4—21no—
1311C4×D4—111no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4C22×D1111yescharacteristic
1342C4×D4C22×D1111yescharacteristic
1343C4×D4C22×D1111yescharacteristic
1344#117—111no—
1345#117—111no—
1346#117—221no—
1347#117—221no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117C22×D1111yescharacteristic
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—221no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4C22×D1111yescharacteristic
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—111no—
1359C2×C22⋊C4—111no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—221no—
1367#107—111no—
1368#107—111no—
1369#107C22×D1111yescharacteristic
1370#107C22×D1111yescharacteristic
1371#106—111no—
1372#106—111no—
1373#106—111no—
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8C22×D1111yescharacteristic
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103C22×D1111yescharacteristic
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102C22×D1111yescharacteristic
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⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97—111no—
1425C4×C8—111no—
1426C4×C8C22×D1111yescharacteristic
1427C2×C11—22no—
1428C2×C11—41no—
1429C2×C11—42no—
1430C2×C11—81no—
1431C2×C11—81no—
1432C2×C11#348411yescharacteristic
1433C2×C11C2×#57511yescharacteristic
1434C2×C11#358411yescharacteristic
1435D11—41no—
1436D11—41no—
1437D11—41no—
1438D11—81no—
1439D11—81no—
1440C24—21no—
1441C24—111no—
1442C24—111no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—41no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—441no—
1453#41—441no—
1454#41—441no—
1455#41—444no—
1456#41—441no—
1457#41—441no—
1458#41—441no—
1459#41—441no—
1460#41—444no—
1461#41—444no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—441no—
1466#41—444no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—111no—
1470C2×Q8—111no—
1471C2×Q8—221no—
1472C2×Q8—222no—
1473C2×Q8—221no—
1474C2×Q8—221no—
1475C2×Q8—222no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8—441no—
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—22no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—41no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—222no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—441no—
1514C2×D4—441no—
1515C2×D4—441no—
1516C2×D4—442no—
1517C2×D4—444no—
1518C2×D4—444no—
1519C2×D4—444no—
1520C2×D4—444no—
1521C2×D4D4×D1111yescharacteristic
1522C2×D4C23×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—441no—
1555C22×C4—441no—
1556C22×C4—441no—
1557C22×C4—441no—
1558C22×C4—444no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—222no—
1563Q16—222no—
1564Q16—441no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—41no—
1569SD16—222no—
1570SD16—222no—
1571SD16—222no—
1572SD16—222no—
1573SD16—441no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—22no—
1581D8—41no—
1582D8—222no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—441no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590C2×C8—41no—
1591C2×C8—41no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4D4×D1111yescharacteristic
1630C4⋊C4C23×D1111yescharacteristic
1631C4⋊C4C23×D1111yescharacteristic
1632C4⋊C4C23×D1111yescharacteristic
1633C4⋊C4C23×D1111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4D4×D1111yescharacteristic
1676C22⋊C4D4×D1111yescharacteristic
1677C42—21no—
1678C42—111no—
1679C42—111no—
1680C42—111no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—42no—
1694C23—81no—
1695C23—111no—
1696C23—111no—
1697C23—111no—
1698C23—222no—
1699C23—221no—
1700C23—221no—
1701C23—441no—
1702C23—441no—
1703C23—441no—
1704C23—441no—
1705C23—441no—
1706C23—442no—
1707C23—442no—
1708C23—442no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—112no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—442no—
1725Q8—442no—
1726Q8—881no—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—224no—
1739D4—222no—
1740D4—221no—
1741D4—221no—
1742D4—221no—
1743D4—221no—
1744D4—441no—
1745D4—442no—
1746D4—442no—
1747D4—441no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—442no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4#6704212yes—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—111no—
1779C2×C4—111no—
1780C2×C4—111no—
1781C2×C4—111no—
1782C2×C4—111no—
1783C2×C4—224no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—441no—
1799C2×C4—441no—
1800C2×C4—441no—
1801C2×C4—441no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—441no—
1807C2×C4—441no—
1808C2×C4—442no—
1809C2×C4—442no—
1810C2×C4—442no—
1811C2×C4—442no—
1812C2×C4—442no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—84no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—882no—
1862C22—884no—
1863C22—1762no—
1864C22#1062329912yes—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—222no—
1879C4—221no—
1880C4—221no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6704211yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—441no—
1894C2—441no—
1895C2—441no—
1896C2—881no—
1897C2—881no—
1898C2#1308224611yescharacteristic
1899C2C2×#1062329911yescharacteristic
1900C2#1308338411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3297C2
socleC22×C11C23×D4
hypercenter#3297D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #13082445C2semidirect
2. #13082100C2semidirect
3. #13080883C2semidirect
4. #13080829C2semidirect
5. #13080785C2semidirect
6. #13080753C2semidirect
7. #13080740C2semidirect
8. #13080708C2semidirect
9. #13080512C2semidirect
10. #13080359C2semidirect
11. #13080319C2semidirect
12. #13080253C2semidirect
13. #13080226C2semidirect
14. #13080183C2semidirect
15. #13080153C2semidirect
16. #13080134C2semidirect
17. #13080115C2semidirect
18. #13079652C2semidirect
19. #13079593C2semidirect
20. #13079456C2semidirect
21. #13079451C2semidirect
22. #13079403C2semidirect
23. #13079382C2semidirect
24. #13078730C2semidirect
25. #13078630C2semidirect
26. #13077863C2semidirect
27. #13077854C2semidirect
28. #13077836C2semidirect
29. C2×#10622396C2semidirect
30. #13077649C2semidirect
31. C11×#3297C2semidirect
32. C2×#41×D11C22semidirect
34. C11×#553C22semidirect
35. C11×#546C22semidirect
37. C2×#67003C22semidirect
38. D4×C22⋊D11C22semidirect
39. C22×#4324C22semidirect
40. C2×#66968C22semidirect
41. C2×#66964C22semidirect
42. C2×#66964C22semidirect
43. C2×#66964C22semidirect
44. C22×Dic44C22semidirect
45. C2×#66957C22semidirect
48. #10623225C22semidirect
49. #10623222C22semidirect
51. #10623199C22semidirect
56. #10623163C22semidirect
59. #10623143C22semidirect
61. #10623137C22semidirect
62. #10623137C22semidirect
64. D11×#121C22semidirect
71. #10623088C22semidirect
73. #10623085C22semidirect
74. #10623083C22semidirect
75. #10623083C22semidirect
78. C4×#4341C22semidirect
79. #10623060C22semidirect
80. #10623055C22semidirect
82. C2×#66950C22semidirect
85. C11×#488C22semidirect
86. C11×#484C22semidirect
87. C11×#482C22semidirect
88. C11×#478C22semidirect
89. C11×#466C22semidirect
90. C11×#465C22semidirect
91. C11×#463C22semidirect
92. C11×#449C22semidirect
93. C11×#447C22semidirect
94. C4×C11×D8C22semidirect
95. C8×D4×C11C22semidirect
96. C11×#416C22semidirect
97. C2×C11×#102C22semidirect
98. #10622852C22semidirect
99. #10622830C22semidirect
100. #10622785C22semidirect
101. #10622782C22semidirect
102. #10622780C22semidirect
104. #10622771C22semidirect
105. #10622771C22semidirect
106. #10622767C22semidirect
107. #10622766C22semidirect
108. #10622729C22semidirect
109. #10622728C22semidirect
110. #10622724C22semidirect
111. #10622724C22semidirect
112. C2×(C2×D11)⋊C8C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
116. #10622672C22semidirect
117. #10622667C22semidirect
118. #10622663C22semidirect
119. #10622661C22semidirect
120. #10622654C22semidirect
121. #10622654C22semidirect
122. #10622653C22semidirect
123. #10622651C22semidirect
124. #10622650C22semidirect
125. #10622650C22semidirect
126. C4×#4324C22semidirect
127. C4×#4324C22semidirect
128. #10622629C22semidirect
129. #10622629C22semidirect
130. D4×C11⋊C8C22semidirect
131. #10622615C22semidirect
132. #10622609C22semidirect
133. C2×#66874C22semidirect
134. #10622581C22semidirect
135. #10622502C22semidirect
136. #10622501C22semidirect
137. #10622501C22semidirect
138. #10622501C22semidirect
139. #10622499C22semidirect
140. #10622499C22semidirect
141. #10622499C22semidirect
142. #10622490C22semidirect
143. #10622481C22semidirect
144. #10622479C22semidirect
145. #10622476C22semidirect
146. #10622466C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622451C22semidirect
150. #10622448C22semidirect
151. #10622431C22semidirect
152. #10622429C22semidirect
153. #10622429C22semidirect
154. #10622424C22semidirect
155. #10622423C22semidirect
156. #10622423C22semidirect
157. #10622422C22semidirect
158. #10622421C22semidirect
159. #10622419C22semidirect
160. #10622415C22semidirect
161. #10622410C22semidirect
162. #10622406C22semidirect
163. #10622399C22semidirect
164. #10622398C22semidirect
165. #10622397C22semidirect
166. #10622397C22semidirect
167. #10622396C22semidirect
168. #10622396C22semidirect
169. #10622396C22semidirect
170. #10622396C22semidirect
171. #10622396C22semidirect
172. #10622396C22semidirect
173. #10622396C22semidirect
174. #10622396C22semidirect
175. #10622396C22semidirect
176. #10622395C22semidirect
178. #10622394C22semidirect
179. #10622393C22semidirect
180. #10622389C22semidirect
181. #10622386C22semidirect
182. #10622386C22semidirect
183. #10622384C22semidirect
184. #10622384C22semidirect
185. #10622383C22semidirect
186. #10622380C22semidirect
187. #10622379C22semidirect
188. #10622377C22semidirect
189. #10622375C22semidirect
190. #10622370C22semidirect
191. #10622351C22semidirect
192. #10622351C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622343C22semidirect
196. #10622343C22semidirect
197. #10622339C22semidirect
198. #10622339C22semidirect
199. C4×Dic44C22semidirect
200. #10622309C22semidirect
201. #10622301C22semidirect
202. #10622298C22semidirect
748. #3297D11semidirect
924. #553C2×D11semidirect
942. #546C2×D11semidirect
971. #488C2×D11semidirect
977. #484C2×D11semidirect
981. #482C2×D11semidirect
987. #478C2×D11semidirect
999. #466C2×D11semidirect
1003. #465C2×D11semidirect
1011. #463C2×D11semidirect
1043. #449C2×D11semidirect
1051. #447C2×D11semidirect
1059. C4×D8C2×D11semidirect
1067. C8×D4C2×D11semidirect
1075. #416C2×D11semidirect
1077. C2×#102C2×D11semidirect
1688. C11#61606semidirect

Maximal subgroups

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

subgroupindex
#130824452
#130821002
#130808832
#130808292
#130807852
#130807532
#130807402
#130807082
#130805122
#130803592
#130803192
#130802532
#130802262
#130801832
#130801532
#130801342
#130801152
#130796522
#130795932
#130794562
#130794512
#130794032
#130793822
#130787302
#130786302
#130778632
#130778542
#130778362
C2×#106223962
#130776492
C11×#32972
#6160611