Finite Group Databasebeta

← #15622411

Subgroups — #15622411

Order 2816.

2144 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082037C211yesmaximal, characteristic, complemented
2C4×#67042C211yesmaximal, characteristic, complemented
3#13078892C211yesmaximal, characteristic, complemented
4#13078886C211yesmaximal, characteristic, complemented
5#13078861C211yesmaximal, characteristic, complemented
6#13078855C211yesmaximal, characteristic, complemented
7#13078822C211yesmaximal, characteristic, complemented
8#13078816C211yesmaximal, characteristic, complemented
9#13078803C211yesmaximal, characteristic, complemented
10#13078799C211yesmaximal, characteristic, complemented
11#13078767C211yesmaximal, characteristic, complemented
12#13078765C211yesmaximal, characteristic, complemented
13#13078758C211yesmaximal, characteristic, complemented
14#13078750C211yesmaximal, characteristic, complemented
15#13078731C211yesmaximal, characteristic, complemented
16#13078708C211yesmaximal, characteristic, complemented
17#13078705C211yesmaximal, characteristic, complemented
18#13078602C211yesmaximal, characteristic, complemented
19#13078569C211yesmaximal, characteristic, complemented
20#13078481C211yesmaximal, characteristic, complemented
21#13078446C211yesmaximal, characteristic, complemented
22#13078158C211yesmaximal, characteristic, complemented
23#13078117C211yesmaximal, characteristic, complemented
24#13077924C211yesmaximal, characteristic, complemented
25#13077881C211yesmaximal, characteristic, complemented
26#13077421C211yesmaximal, characteristic, complemented
27#13077421C211yesmaximal, characteristic, complemented
28#13077415C211yesmaximal, characteristic, complemented
29D11×#442C211yesmaximal, characteristic, complemented
30#13077262C211yesmaximal, characteristic, complemented
31C11×#3111C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C11×#529C2211yescharacteristic, complemented
34C4×C11×#41C2211yescharacteristic, complemented
35#10623358C2211yescharacteristic, complemented
36C2×#66972C2211yescharacteristic
37C2×#66967C2211yescharacteristic
38C2×#66967C2211yescharacteristic
39C2×D8×D11C2211yescharacteristic
40#10623241—21no—
41#10623235—21no—
42#10623229C2211yescharacteristic, complemented
43#10623220C2211yescharacteristic, complemented
44#10623213C2211yescharacteristic, complemented
45#10623205C2211yescharacteristic, complemented
46#10623194—21no—
47#10623188—21no—
48#10623174C2211yescharacteristic, complemented
49#10623160C2211yescharacteristic
50#10623150C2211yescharacteristic, complemented
51#10623138C2211yescharacteristic
52#10623111C2211yescharacteristic, complemented
53#10623105C2211yescharacteristic
54#10623105C2211yescharacteristic, complemented
55C4×#4343C2211yescharacteristic
56C4×#4343C2211yescharacteristic, complemented
57C4×#4343C2211yescharacteristic, complemented
58#10623079—21no—
59#10623079C2211yescharacteristic, complemented
60#10623078—21no—
61#10623076—21no—
62#10623076—21no—
63#10623076C2211yescharacteristic
64#10623076C2211yescharacteristic, complemented
65C4×D4×D11—21no—
66C4×D4×D11—21no—
67C4×D4×D11C2211yescharacteristic
68C4×D4×D11C2211yescharacteristic, complemented
69C4×D4×D11C2211yescharacteristic, complemented
70#10623059—21no—
71#10623055—21no—
72#10623054—21no—
73#10623054C2211yescharacteristic
74#10623052—21no—
75#10623052C2211yescharacteristic, complemented
76#10623008C2211yescharacteristic, complemented
77C4×#4339—21no—
78C4×#4339C2211yescharacteristic
79C2×C4×D44—21no—
80C2×C4×D44C2211yescharacteristic, complemented
81C11×#485C2211yescharacteristic, complemented
82C11×#482C2211yescharacteristic, complemented
83C11×#479C2211yescharacteristic, complemented
84C11×#478C2211yescharacteristic, complemented
85C11×#464C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#452C2211yescharacteristic, complemented
88C11×#449C2211yescharacteristic
89C11×#442C2211yescharacteristic, complemented
90C11×#441C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic, complemented
92C11×#440C2211yescharacteristic, complemented
93C11×#432C2211yescharacteristic, complemented
94#10622851C2211yescharacteristic
95#10622851C2211yescharacteristic, complemented
96#10622800C2211yescharacteristic, complemented
97#10622798C2211yescharacteristic, complemented
98#10622797C2211yescharacteristic, complemented
99#10622785C2211yescharacteristic
100#10622782C2211yescharacteristic, complemented
101#10622778C2211yescharacteristic, complemented
102#10622776C2211yescharacteristic, complemented
103SD16×Dic11C2211yescharacteristic, complemented
104SD16×Dic11C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic
106#10622765C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622679C2211yescharacteristic, complemented
109#10622679C2211yescharacteristic, complemented
110#10622670C2211yescharacteristic, complemented
111#10622670C2211yescharacteristic, complemented
112#10622659C2211yescharacteristic, complemented
113#10622656C2211yescharacteristic, complemented
114#10622649C2211yescharacteristic
115#10622646C2211yescharacteristic, complemented
116#10622640C2211yescharacteristic, complemented
117#10622639C2211yescharacteristic, complemented
118#10622639C2211yescharacteristic, complemented
119#10622639C2211yescharacteristic, complemented
120#10622639C2211yescharacteristic, complemented
121#10622633C2211yescharacteristic, complemented
122#10622628C2211yescharacteristic, complemented
123#10622627C2211yescharacteristic, complemented
124#10622627C2211yescharacteristic, complemented
125#10622627C2211yescharacteristic, complemented
126#10622627C2211yescharacteristic, complemented
127#10622620C2211yescharacteristic, complemented
128#10622616C2211yescharacteristic, complemented
129#10622616C2211yescharacteristic, complemented
130#10622539C2211yescharacteristic, complemented
131#10622504C2211yescharacteristic, complemented
132#10622503C2211yescharacteristic, complemented
133#10622498C2211yescharacteristic, complemented
134#10622495C2211yescharacteristic, complemented
135#10622494C2211yescharacteristic, complemented
136#10622494C2211yescharacteristic, complemented
137#10622485C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622482C2211yescharacteristic, complemented
142#10622482C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622476C2211yescharacteristic, complemented
145#10622473C2211yescharacteristic, complemented
146D11×#106C2211yescharacteristic, complemented
147#10622456C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic, complemented
149#10622455C2211yescharacteristic, complemented
150#10622455C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622453C2211yescharacteristic, complemented
153#10622452C2211yescharacteristic, complemented
154#10622452C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622430C2211yescharacteristic, complemented
158#10622430C2211yescharacteristic, complemented
159#10622428C2211yescharacteristic, complemented
160#10622424C2211yescharacteristic
161#10622424C2211yescharacteristic, complemented
162#10622418C2211yescharacteristic, complemented
163#10622417C2211yescharacteristic
164#10622417C2211yescharacteristic, complemented
165#10622416C2211yescharacteristic
166#10622416C2211yescharacteristic, complemented
167#10622412C2211yescharacteristic, complemented
168#10622404C2211yescharacteristic, complemented
169#10622401C2211yescharacteristic, complemented
170#10622401C2211yescharacteristic, complemented
171#10622399C2211yescharacteristic, complemented
172#10622399C2211yescharacteristic, complemented
173#10622398C2211yescharacteristic, complemented
174#10622398C2211yescharacteristic, complemented
175#10622392C2211yescharacteristic, complemented
176#10622390C2211yescharacteristic, complemented
177#10622386C2211yescharacteristic
178#10622386C2211yescharacteristic, complemented
179#10622383C2211yescharacteristic
180#10622383C2211yescharacteristic, complemented
181D11×#102C2211yescharacteristic
182D11×#102C2211yescharacteristic, complemented
183#10622376C2211yescharacteristic, complemented
184#10622374C2211yescharacteristic, complemented
185#10622369C2211yescharacteristic, complemented
186#10622369C2211yescharacteristic, complemented
187#10622348C2211yescharacteristic, complemented
188#10622348C2211yescharacteristic, complemented
189#10622345C2211yescharacteristic
190#10622345C2211yescharacteristic, complemented
191#10622340C2211yescharacteristic
192#10622340C2211yescharacteristic
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic, complemented
196#10622324C2211yescharacteristic, complemented
197#10622324C2211yescharacteristic, complemented
198#10622324C2211yescharacteristic, complemented
199#10622320C2211yescharacteristic, complemented
200#10622318C2211yescharacteristic, complemented
201#10622318C2211yescharacteristic, complemented
202D11×#97C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204#67042—24no—
205#67042—24no—
206C2×#4343C2311yescharacteristic
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×D4×D11—21no—
210C2×D4×D11—21no—
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C2×#4339—21no—
215C2×#4339—21no—
216C2×#4339—21no—
217C2×#4339C2311yescharacteristic
218C22×D44—21no—
219C22×D44C2311yescharacteristic
220C22×C4×D11—21no—
221C22×C4×D11—21no—
222C22×C4×D11—21no—
223C22×C4×D11—21no—
224C2×C11×Q16C2311yescharacteristic
225C2×C11×SD16C2311yescharacteristic
226C2×C11×SD16C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C11×#126—21no—
229C11×#125C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#123—21no—
232C11×C22⋊Q8C2311yescharacteristic
233C11×#121C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×D4×C11—21no—
238C4×D4×C11—21no—
239C4×D4×C11—21no—
240C4×D4×C11C2311yescharacteristic
241C4×D4×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C11×#117—21no—
244C11×#117—21no—
245C11×#117C2311yescharacteristic
246C2×C42×C11—21no—
247C2×C42×C11C2311yescharacteristic
248#67000C2311yescharacteristic
249#66999C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257#66993—21no—
258#66993C2311yescharacteristic
259#66992—21no—
260#66991—21no—
261#66991C2311yescharacteristic
262#66990—21no—
263D4×Dic11—21no—
264D4×Dic11—21no—
265D4×Dic11C2311yescharacteristic
266D4×Dic11C2311yescharacteristic
267D4×Dic11C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270C2×#4323C2311yescharacteristic
271C2×#4323C2311yescharacteristic
272#66983—21no—
273#66983C2311yescharacteristic
274#66983C2311yescharacteristic
275C4×C22⋊D11—21no—
276C4×C22⋊D11—21no—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11D411yescharacteristic
282C4×C22⋊D11D411yescharacteristic
283C4×C22⋊D11D411yescharacteristic
284C4×C22⋊D11D411yescharacteristic
285C2×(C2×D11)⋊C4—21no—
286C2×(C2×D11)⋊C4—21no—
287C2×(C2×D11)⋊C4—21no—
288#66979—21no—
289#66979C2311yescharacteristic
290C2×C4⋊Dic11—21no—
291C2×C4⋊Dic11C2311yescharacteristic
292#66972—24no—
293#66967—24no—
294#66967—24no—
295D8×D11—24no—
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×D88C2311yescharacteristic
299C2×D88C2311yescharacteristic
300C2×#4313C2311yescharacteristic
301C2×#4313C2311yescharacteristic
302C2×C8×D11C2311yescharacteristic
303C2×C8×D11C2311yescharacteristic
304#66951—21no—
305#66951—21no—
306#66950—21no—
307#66950—21no—
308#66949—21no—
309#66949—21no—
310#66948—21no—
311#66948—21no—
312#66948—21no—
313#66948C2311yescharacteristic
314#66948C2311yescharacteristic
315#66947—21no—
316#66947—21no—
317#66947—21no—
318#66946—21no—
319#66946—21no—
320#66946—21no—
321#66946—21no—
322#66946—21no—
323#66946C2311yescharacteristic
324#66946C2311yescharacteristic
325#66946C2311yescharacteristic
326#66946C2311yescharacteristic
327#66946C2311yescharacteristic
328#66946C2311yescharacteristic
329#66945—21no—
330#66945—21no—
331#66945—21no—
332#66945C2311yescharacteristic
333#66945C2311yescharacteristic
334#66945C2311yescharacteristic
335C4⋊C4×D11—21no—
336C4⋊C4×D11—21no—
337C4⋊C4×D11C2311yescharacteristic
338C4⋊C4×D11C2311yescharacteristic
339C4⋊C4×D11C2311yescharacteristic
340#66943C2311yescharacteristic
341#66942—21no—
342#66941—21no—
343#66941C2311yescharacteristic
344#66939—21no—
345#66939—21no—
346#66938—21no—
347#66938—21no—
348#66938—21no—
349#66938—21no—
350#66937—21no—
351#66937—21no—
352#66937—21no—
353#66937—21no—
354#66937—21no—
355#66936—21no—
356#66936—21no—
357#66935—21no—
358#66935—21no—
359#66935—21no—
360(C22⋊D11)⋊C4—21no—
361(C22⋊D11)⋊C4—21no—
362(C22⋊D11)⋊C4—21no—
363(C22⋊D11)⋊C4—21no—
364(C22⋊D11)⋊C4—21no—
365(C22⋊D11)⋊C4—21no—
366(C22⋊D11)⋊C4—21no—
367C22⋊C4×D11—21no—
368C22⋊C4×D11—21no—
369C22⋊C4×D11—21no—
370C22⋊C4×D11—21no—
371C22⋊C4×D11—21no—
372C22⋊C4×D11—21no—
373C22⋊C4×D11—21no—
374#66932—21no—
375#66931—21no—
376#66928—21no—
377#66927C2311yescharacteristic
378C4×D44—21no—
379C4×D44—21no—
380C4×D44—21no—
381C4×D44—21no—
382C4×D44—21no—
383C4×D44—21no—
384C4×D44—21no—
385C4×D44—21no—
386C4×D44—21no—
387C4×D44—21no—
388C4×D44—21no—
389C4×D44—21no—
390C4×D44D411yescharacteristic
391C4×D44D411yescharacteristic
392C4×D44C2311yescharacteristic
393C4×D44C2311yescharacteristic
394C4×D44C2311yescharacteristic
395C4×D44C2311yescharacteristic
396C4×D44C2311yescharacteristic
397C4×D44C2311yescharacteristic
398#66925—21no—
399#66925—21no—
400#66925—21no—
401#66925C2311yescharacteristic
402#66925C2311yescharacteristic
403C42×D11—21no—
404C42×D11—21no—
405C42×D11—21no—
406C42×D11C2311yescharacteristic
407C42×D11C2311yescharacteristic
408#66922C2311yescharacteristic
409C4×Dic22—21no—
410C4×Dic22D411yescharacteristic
411C4×Dic22D411yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#106C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×C4⋊C8C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#103C2311yescharacteristic
420C11×#103C2311yescharacteristic
421C11×#103C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×#97C2311yescharacteristic
429C11×#97C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438C22⋊(C11⋊C8)C2311yescharacteristic
439C22⋊(C11⋊C8)C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452#66881C2311yescharacteristic
453#66881C2311yescharacteristic
454#66881C2311yescharacteristic
455#66881C2311yescharacteristic
456#66879C2311yescharacteristic
457#66879C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483#66867C2311yescharacteristic
484#60574—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C11×#41—22no—
490C11×#41—22no—
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11C2411yescharacteristic
496C2×D4×C11C2411yescharacteristic
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11C2×D411yescharacteristic
502C22×C4×C11C2×D411yescharacteristic
503C22×C4×C11C2411yescharacteristic
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11C2×D411yescharacteristic
513C2×C22⋊D11C2×D411yescharacteristic
514C22×Dic11—21no—
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518#4343—22no—
519#4343—22no—
520#4343—22no—
521#4343—22no—
522#4343—22no—
523#4343#4114yescomplemented
524D4×D11—28no—
525D4×D11—28no—
526D4×D11—22no—
527D4×D11—22no—
528D4×D11—22no—
529D4×D11—22no—
530D4×D11—22no—
531D4×D11#4114yescomplemented
532#4339—28no—
533#4339—22no—
534#4339—22no—
535#4339—82no—
536#4339—82no—
537C2×D44—28no—
538C2×D44—22no—
539C2×D44—22no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—21no—
546C2×D44—21no—
547C2×D44—21no—
548C2×D44C2×D411yescharacteristic
549C2×D44C2411yescharacteristic
550C2×D44C2411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—82no—
572C2×C4×D11—82no—
573C2×C4×D11—82no—
574C2×C4×D11—82no—
575C2×C4×D11C2×D411yescharacteristic
576C2×C4×D11C2×D411yescharacteristic
577C2×C4×D11C2×D411yescharacteristic
578C2×C4×D11C2×D411yescharacteristic
579C2×C4×D11C2411yescharacteristic
580C2×C4×D11C2411yescharacteristic
581C2×Dic22—21no—
582C2×Dic22—21no—
583C2×Dic22C2×D411yescharacteristic
584C11×Q16—22no—
585C11×SD16—22no—
586C11×SD16—22no—
587C11×D8—22no—
588C2×C8×C11C2411yescharacteristic
589C2×C8×C11C2411yescharacteristic
590C2×C8×C11C2411yescharacteristic
591C2×C8×C11C2411yescharacteristic
592C11×C4⋊C4—21no—
593C11×C4⋊C4—21no—
594C11×C4⋊C4—21no—
595C11×C4⋊C4—21no—
596C11×C4⋊C4—21no—
597C11×C4⋊C4—21no—
598C11×C4⋊C4C2411yescharacteristic
599C11×C4⋊C4C2411yescharacteristic
600C11×C4⋊C4C2411yescharacteristic
601C11×C4⋊C4C2411yescharacteristic
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C11×C22⋊C4—21no—
607C11×C22⋊C4—21no—
608C11×C22⋊C4—21no—
609C11×C22⋊C4—21no—
610C42×C11—21no—
611C42×C11—21no—
612C42×C11—21no—
613C42×C11—21no—
614C42×C11C2×D411yescharacteristic
615C42×C11C2×D411yescharacteristic
616C42×C11C2411yescharacteristic
617C42×C11C2411yescharacteristic
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11C2×D411yescharacteristic
623C22⋊Dic11C2×D411yescharacteristic
624#4325—22no—
625#4325—22no—
626#4325—22no—
627#4325—22no—
628#4323—22no—
629#4323—22no—
630#4323—22no—
631#4323—22no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11C2×D411yescharacteristic
665C4⋊Dic11C2×D411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4C2×D411yescharacteristic
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2×D411yescharacteristic
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696D88—22no—
697D88—22no—
698D88—22no—
699D88—22no—
700#4313—22no—
701#4313—22no—
702C8×D11—22no—
703C8×D11—22no—
704#3460—111no—
705C4×H(5,𝔽2)—111no—
706#3125—111no—
707#3125—111no—
708#3122—111no—
709#3122—111no—
710#3119—111no—
711#3119—111no—
712#3118—111no—
713#3118—111no—
714#3115—111no—
715#3115—111no—
716#3114—111no—
717#3114—111no—
718#3111—111no—
719#3111D1111yescharacteristic, complemented
720#3109—111no—
721#3109—111no—
722#3099—111no—
723#3096—111no—
724#3084—111no—
725#3081—111no—
726#3045—111no—
727#3041—111no—
728#3012—111no—
729#3008—111no—
730C4×AGL(1,ℤ/8)—111no—
731C4×AGL(1,ℤ/8)—111no—
732#2943—111no—
733C2×#442—111no—
734#2923—111no—
735C23×C11—21no—
736C23×C11—21no—
737C23×C11C22×D411yescharacteristic
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—24no—
741C22×D11—24no—
742C22×D11—24no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—42no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11—81no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11C22×D411yescharacteristic
755C22×D11C22×D411yescharacteristic
756Q8×C11—21no—
757Q8×C11—21no—
758Q8×C11—21no—
759Q8×C11C2×#4112yes—
760D4×C11—24no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—81no—
765D4×C11C2×#4112yes—
766C2×C4×C11—24no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—41no—
776C2×C4×C11—41no—
777C2×C4×C11—42no—
778C2×C4×C11—42no—
779C2×C4×C11—81no—
780C2×C4×C11C22×D411yescharacteristic
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C2511yescharacteristic
786C22⋊D11—24no—
787C22⋊D11—22no—
788C22⋊D11—22no—
789C22⋊D11—24no—
790C22⋊D11—42no—
791C22⋊D11—81no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—81no—
801C2×Dic11—81no—
802C2×Dic11—81no—
803C2×Dic11—81no—
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806C2×Dic11C22×D411yescharacteristic
807C2×Dic11C22×D411yescharacteristic
808C2×Dic11C22×D411yescharacteristic
809C2×Dic11C22×D411yescharacteristic
810D44—24no—
811D44—24no—
812D44—22no—
813D44—24no—
814D44—21no—
815D44—21no—
816D44—21no—
817D44—21no—
818D44—21no—
819D44—21no—
820D44—42no—
821D44—81no—
822D44—81no—
823D44—81no—
824D44—81no—
825D44C2×#4112yes—
826D44C2×#4112yes—
827C4×D11—24no—
828C4×D11—21no—
829C4×D11—21no—
830C4×D11—24no—
831C4×D11—41no—
832C4×D11—41no—
833C4×D11—41no—
834C4×D11—41no—
835C4×D11—42no—
836C4×D11—42no—
837C4×D11—42no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850C4×D11—81no—
851C4×D11C2×#4112yes—
852C4×D11C2×#4112yes—
853Dic22—22no—
854Dic22—81no—
855Dic22—81no—
856C8×C11—21no—
857C8×C11—21no—
858C8×C11—21no—
859C8×C11—21no—
860C11⋊C8—21no—
861C11⋊C8—21no—
862C11⋊C8—21no—
863C11⋊C8—21no—
864C2×H(5,𝔽2)—111no—
865C2×AGL(1,ℤ/8)—111no—
866C2×AGL(1,ℤ/8)—111no—
867C2×#135—111no—
868C22×D8—111no—
869#544—111no—
870#542—111no—
871#542—111no—
872#542—221no—
873#540—111no—
874#540—111no—
875#540—221no—
876#538—221no—
877#538—221no—
878#537—111no—
879#535—111no—
880#535—111no—
881#532—111no—
882#532—111no—
883#532—221no—
884#529—111no—
885#529—221no—
886#529C2×D1111yescharacteristic, complemented
887#525—221no—
888#525—221no—
889#520—111no—
890#520—111no—
891#520—111no—
892#520—111no—
893#520—221no—
894#518—111no—
895#518—111no—
896#518—111no—
897#518—221no—
898#518—221no—
899#518—221no—
900C4×#41—111no—
901C4×#41—111no—
902C4×#41—111no—
903C4×#41—111no—
904C4×#41—221no—
905C4×#41C2×D1111yescharacteristic, complemented
906C2×C4×D4—111no—
907C2×C4×D4—111no—
908C2×C4×D4—111no—
909C2×C4×D4—111no—
910C2×C4×D4—221no—
911C2×C4×D4—221no—
912C2×C4×D4—221no—
913#485—111no—
914#485C2×D1111yescharacteristic, complemented
915#483—111no—
916#483—111no—
917#482—111no—
918#482—111no—
919#482—111no—
920#482—111no—
921#482—111no—
922#482C2×D1111yescharacteristic, complemented
923#481—111no—
924#481—111no—
925#481—111no—
926#481—111no—
927#480—111no—
928#480—111no—
929#479—111no—
930#479C2×D1111yescharacteristic, complemented
931#478—111no—
932#478—111no—
933#478—111no—
934#478—111no—
935#478—111no—
936#478C2×D1111yescharacteristic, complemented
937#476—111no—
938#476—111no—
939#476—111no—
940#476—111no—
941#475—111no—
942#475—111no—
943#474—111no—
944#474—111no—
945#464—111no—
946#464C2×D1111yescharacteristic, complemented
947#463—111no—
948#463—111no—
949#463—111no—
950#463—111no—
951#463—111no—
952#463C2×D1111yescharacteristic, complemented
953#460—111no—
954#460—111no—
955#459—111no—
956#459—111no—
957#459—111no—
958#459—111no—
959#459—111no—
960#459—111no—
961#452—111no—
962#452C2×D1111yescharacteristic, complemented
963#450—111no—
964#450—111no—
965#449—111no—
966#449—111no—
967#449—111no—
968#449—111no—
969#449—111no—
970#449C2×D1111yescharacteristic
971#447—111no—
972#447—111no—
973#447—111no—
974#447—111no—
975#447—111no—
976#447—111no—
977#442—111no—
978#442—111no—
979#442—111no—
980#442—111no—
981#442—111no—
982#442—111no—
983#442—111no—
984#442—111no—
985#442—111no—
986#442—111no—
987#442—111no—
988#442—111no—
989#442—111no—
990#442C2×D1111yescharacteristic, complemented
991#441—111no—
992#441C2×D1111yescharacteristic, complemented
993#440—111no—
994#440—111no—
995#440—111no—
996#440—111no—
997#440—111no—
998#440—111no—
999#440C2×D1111yescharacteristic, complemented
1000#440C2×D1111yescharacteristic, complemented
1001C4×SD16—111no—
1002C4×SD16—111no—
1003C4×SD16—111no—
1004C4×SD16—111no—
1005C4×D8—111no—
1006C4×D8—111no—
1007C4×D8—111no—
1008C4×D8—111no—
1009#433—111no—
1010#433—111no—
1011#433—111no—
1012#433—111no—
1013#432—111no—
1014#432—111no—
1015#432—111no—
1016#432C2×D1111yescharacteristic, complemented
1017#428—111no—
1018#428—111no—
1019#427—111no—
1020C2×#106—111no—
1021#424—111no—
1022#424—111no—
1023#418—111no—
1024#418—111no—
1025#417—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029C2×#102—111no—
1030C2×#102—111no—
1031#408—111no—
1032#408—111no—
1033C4×M16—111no—
1034C2×#97—111no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—21no—
1038C22×C11—22no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11C23×D411yescharacteristic
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—22no—
1050C2×D11—22no—
1051C2×D11—21no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—84no—
1063C2×D11—84no—
1064C2×D11—84no—
1065C2×D11—84no—
1066C2×D11#52512yes—
1067C4×C11—21no—
1068C4×C11—21no—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—22no—
1073C4×C11—41no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11C22×#4111yescharacteristic
1079C4×C11C22×#4111yescharacteristic
1080Dic11—21no—
1081Dic11—21no—
1082Dic11—21no—
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—41no—
1086Dic11—41no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11#52512yes—
1090H(5,𝔽2)—224no—
1091H(5,𝔽2)—224no—
1092C2×#41—111no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—221no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C2×#41C22×D1111yescharacteristic
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4—221no—
1107C23×C4—221no—
1108C23×C4—221no—
1109C23×C4—221no—
1110C23×C4—221no—
1111AGL(1,ℤ/8)—224no—
1112AGL(1,ℤ/8)—224no—
1113#135—224no—
1114C2×Q16C22×D1111yescharacteristic
1115C2×SD16—111no—
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16C22×D1111yescharacteristic
1120C2×SD16C22×D1111yescharacteristic
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8—111no—
1125C2×D8—111no—
1126C2×D8—111no—
1127C2×D8—111no—
1128C2×D8—111no—
1129C2×D8—224no—
1130C2×D8C22×D1111yescharacteristic
1131C2×M16—111no—
1132C2×M16—111no—
1133C22×C8—111no—
1134C22×C8—111no—
1135C4⋊Q8—111no—
1136C4⋊Q8—111no—
1137C4⋊Q8—221no—
1138#127—111no—
1139#127—111no—
1140#127—221no—
1141#126—21no—
1142#126—221no—
1143#126—221no—
1144#126—221no—
1145#125—111no—
1146#125—221no—
1147#125C22×D1111yescharacteristic
1148#124—111no—
1149#124—221no—
1150#124—221no—
1151#124—221no—
1152#124—221no—
1153#124—221no—
1154#124C22×D1111yescharacteristic
1155#123—21no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160#123—221no—
1161#123—221no—
1162#123—221no—
1163C22⋊Q8—111no—
1164C22⋊Q8—221no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8—221no—
1169C22⋊Q8C22×D1111yescharacteristic
1170#121—111no—
1171#121—111no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—221no—
1176#121—221no—
1177#121—221no—
1178#121—221no—
1179#121—221no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121—221no—
1186#121C22×D1111yescharacteristic
1187#120—221no—
1188#120—221no—
1189#120—221no—
1190#120—221no—
1191C4×Q8—111no—
1192C4×Q8—111no—
1193C4×Q8—111no—
1194C4×Q8—111no—
1195C4×Q8—111no—
1196C4×Q8—221no—
1197C4×Q8C22×D1111yescharacteristic
1198C4×Q8C22×D1111yescharacteristic
1199C4×Q8C22×D1111yescharacteristic
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—111no—
1208C4×D4—111no—
1209C4×D4—111no—
1210C4×D4—111no—
1211C4×D4—111no—
1212C4×D4—111no—
1213C4×D4—111no—
1214C4×D4—111no—
1215C4×D4—111no—
1216C4×D4—111no—
1217C4×D4—111no—
1218C4×D4—111no—
1219C4×D4—111no—
1220C4×D4—111no—
1221C4×D4—111no—
1222C4×D4—111no—
1223C4×D4—111no—
1224C4×D4—221no—
1225C4×D4—221no—
1226C4×D4—221no—
1227C4×D4—221no—
1228C4×D4—221no—
1229C4×D4—221no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4C22×D1111yescharacteristic
1257C4×D4C22×D1111yescharacteristic
1258C4×D4C22×D1111yescharacteristic
1259#117—21no—
1260#117—21no—
1261#117—111no—
1262#117—111no—
1263#117—111no—
1264#117—111no—
1265#117—111no—
1266#117—111no—
1267#117—221no—
1268#117—221no—
1269#117—221no—
1270#117—221no—
1271#117—221no—
1272#117—221no—
1273#117—221no—
1274#117C22×D1111yescharacteristic
1275C2×C4⋊C4—111no—
1276C2×C4⋊C4—111no—
1277C2×C4⋊C4—111no—
1278C2×C4⋊C4—111no—
1279C2×C4⋊C4—221no—
1280C2×C4⋊C4—221no—
1281C2×C4⋊C4—221no—
1282C2×C22⋊C4—221no—
1283C2×C22⋊C4—221no—
1284C2×C22⋊C4—221no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C22⋊C4—221no—
1291C2×C22⋊C4—221no—
1292C2×C42—21no—
1293C2×C42—111no—
1294C2×C42—111no—
1295C2×C42—221no—
1296C2×C42—221no—
1297C2×C42—221no—
1298C2×C42C22×D1111yescharacteristic
1299#107—111no—
1300#107—111no—
1301#107—111no—
1302#107—111no—
1303#107C22×D1111yescharacteristic
1304#107C22×D1111yescharacteristic
1305#106—111no—
1306#106—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106—111no—
1311#106—111no—
1312#106—111no—
1313#106C22×D1111yescharacteristic
1314#106C22×D1111yescharacteristic
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8—111no—
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321C4⋊C8C22×D1111yescharacteristic
1322C4⋊C8C22×D1111yescharacteristic
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#103C22×D1111yescharacteristic
1330#103C22×D1111yescharacteristic
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353#102C22×D1111yescharacteristic
1354#102C22×D1111yescharacteristic
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8—111no—
1358C22⋊C8—111no—
1359C22⋊C8—111no—
1360C22⋊C8—111no—
1361C22⋊C8C22×D1111yescharacteristic
1362C22⋊C8C22×D1111yescharacteristic
1363#97—111no—
1364#97—111no—
1365#97—111no—
1366#97—111no—
1367#97C22×D1111yescharacteristic
1368#97C22×D1111yescharacteristic
1369C4×C8—111no—
1370C4×C8—111no—
1371C2×C11—41no—
1372C2×C11—42no—
1373C2×C11—81no—
1374C2×C11C2×#52511yescharacteristic
1375C2×C11#358511yescharacteristic
1376C2×C11#358511yescharacteristic
1377D11—22no—
1378D11—41no—
1379D11—42no—
1380D11—42no—
1381D11—81no—
1382D11—81no—
1383C24—221no—
1384C24—221no—
1385C24—221no—
1386C24—221no—
1387#41—22no—
1388#41—22no—
1389#41—114no—
1390#41—222no—
1391#41—222no—
1392#41—228no—
1393#41—222no—
1394#41—222no—
1395#41—222no—
1396#41—222no—
1397#41—222no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—111no—
1401C2×Q8—221no—
1402C2×Q8—221no—
1403C2×Q8C23×D1111yescharacteristic
1404C2×Q8C23×D1111yescharacteristic
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—114no—
1408C2×D4—111no—
1409C2×D4—111no—
1410C2×D4—111no—
1411C2×D4—111no—
1412C2×D4—111no—
1413C2×D4—111no—
1414C2×D4—111no—
1415C2×D4—222no—
1416C2×D4—222no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—228no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—222no—
1424C2×D4—222no—
1425C2×D4—222no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—222no—
1432C2×D4—228no—
1433C2×D4—228no—
1434C2×D4—222no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—111no—
1451C22×C4—111no—
1452C22×C4—111no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—882no—
1476C22×C4—882no—
1477C22×C4—882no—
1478C22×C4—882no—
1479C22×C4D4×D1111yescharacteristic
1480C22×C4D4×D1111yescharacteristic
1481C22×C4C23×D1111yescharacteristic
1482Q16—22no—
1483SD16—22no—
1484SD16—22no—
1485SD16—222no—
1486SD16—222no—
1487SD16—222no—
1488SD16—222no—
1489D8—22no—
1490D8—222no—
1491D8—222no—
1492D8—222no—
1493D8—222no—
1494D8—222no—
1495D8—222no—
1496D8—222no—
1497D8—222no—
1498M16—222no—
1499M16—222no—
1500C2×C8—111no—
1501C2×C8—111no—
1502C2×C8—111no—
1503C2×C8—111no—
1504C2×C8—222no—
1505C2×C8—222no—
1506C2×C8C23×D1111yescharacteristic
1507C2×C8C23×D1111yescharacteristic
1508C2×C8C23×D1111yescharacteristic
1509C2×C8C23×D1111yescharacteristic
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—111no—
1517C4⋊C4—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4C23×D1111yescharacteristic
1539C4⋊C4C23×D1111yescharacteristic
1540C4⋊C4C23×D1111yescharacteristic
1541C4⋊C4C23×D1111yescharacteristic
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—111no—
1555C22⋊C4—111no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—111no—
1587C42—111no—
1588C42—111no—
1589C42—111no—
1590C42—111no—
1591C42—111no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42—221no—
1596C42—221no—
1597C42—221no—
1598C42D4×D1111yescharacteristic
1599C42D4×D1111yescharacteristic
1600C42C23×D1111yescharacteristic
1601C42C23×D1111yescharacteristic
1602C11#6057411yescharacteristic, complemented, Sylow
1603C23—21no—
1604C23—21no—
1605C23—111no—
1606C23—111no—
1607C23—224no—
1608C23—224no—
1609C23—224no—
1610C23—221no—
1611C23—221no—
1612C23—221no—
1613C23—221no—
1614C23—442no—
1615C23—881no—
1616C23—881no—
1617C23—881no—
1618C23—881no—
1619C23—881no—
1620C23—881no—
1621C23—881no—
1622C23—881no—
1623C23C2×D4×D1111yescharacteristic
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—222no—
1628Q8—881no—
1629Q8—881no—
1630Q8#41×D1112yes—
1631D4—24no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—81no—
1636D4—112no—
1637D4—112no—
1638D4—222no—
1639D4—224no—
1640D4—224no—
1641D4—224no—
1642D4—222no—
1643D4—224no—
1644D4—222no—
1645D4—224no—
1646D4—221no—
1647D4—221no—
1648D4—221no—
1649D4—221no—
1650D4—221no—
1651D4—221no—
1652D4—442no—
1653D4—442no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4#41×D1112yes—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—111no—
1679C2×C4—112no—
1680C2×C4—112no—
1681C2×C4—111no—
1682C2×C4—111no—
1683C2×C4—111no—
1684C2×C4—111no—
1685C2×C4—111no—
1686C2×C4—224no—
1687C2×C4—224no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—441no—
1695C2×C4—441no—
1696C2×C4—441no—
1697C2×C4—441no—
1698C2×C4—442no—
1699C2×C4—442no—
1700C2×C4—442no—
1701C2×C4—442no—
1702C2×C4—442no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4—881no—
1708C2×C4—881no—
1709C2×C4—881no—
1710C2×C4—881no—
1711C2×C4—881no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4C2×D4×D1111yescharacteristic
1719C2×C4C2×D4×D1111yescharacteristic
1720C2×C4C2×D4×D1111yescharacteristic
1721C2×C4C2×D4×D1111yescharacteristic
1722C2×C4C2×D4×D1111yescharacteristic
1723C2×C4C24×D1111yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—221no—
1729C8—221no—
1730C8—221no—
1731C8—221no—
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—22no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—112no—
1742C22—221no—
1743C22—221no—
1744C22—221no—
1745C22—221no—
1746C22—222no—
1747C22—222no—
1748C22—221no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—884no—
1760C22—884no—
1761C22—884no—
1762C22—884no—
1763C22C22×D4×D1111yescharacteristic
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—22no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—112no—
1776C4—221no—
1777C4—221no—
1778C4—221no—
1779C4—221no—
1780C4—221no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C4—441no—
1785C4C2×#41×D1111yescharacteristic
1786C4C2×#41×D1111yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—81no—
1790C2—222no—
1791C2—441no—
1792C2—442no—
1793C2—442no—
1794C2—881no—
1795C2—881no—
1796C2D11×#52511yescharacteristic
1797C2#1308339311yescharacteristic
1798C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3111C2
socleC22×C11C23×D4
hypercenter#3111D11
hypocenterC11#60574
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #13082037C2semidirect
2. C4×#67042C2semidirect
3. #13078892C2semidirect
4. #13078886C2semidirect
5. #13078861C2semidirect
6. #13078855C2semidirect
7. #13078822C2semidirect
8. #13078816C2semidirect
9. #13078803C2semidirect
10. #13078799C2semidirect
11. #13078767C2semidirect
12. #13078765C2semidirect
13. #13078758C2semidirect
14. #13078750C2semidirect
15. #13078731C2semidirect
16. #13078708C2semidirect
17. #13078705C2semidirect
18. #13078602C2semidirect
19. #13078569C2semidirect
20. #13078481C2semidirect
21. #13078446C2semidirect
22. #13078158C2semidirect
23. #13078117C2semidirect
24. #13077924C2semidirect
25. #13077881C2semidirect
26. #13077421C2semidirect
27. #13077421C2semidirect
28. #13077415C2semidirect
29. D11×#442C2semidirect
30. #13077262C2semidirect
31. C11×#3111C2semidirect
33. C11×#529C22semidirect
34. C4×C11×#41C22semidirect
35. #10623358C22semidirect
42. #10623229C22semidirect
43. #10623220C22semidirect
44. #10623213C22semidirect
45. #10623205C22semidirect
48. #10623174C22semidirect
50. #10623150C22semidirect
52. #10623111C22semidirect
54. #10623105C22semidirect
56. C4×#4343C22semidirect
57. C4×#4343C22semidirect
59. #10623079C22semidirect
64. #10623076C22semidirect
68. C4×D4×D11C22semidirect
69. C4×D4×D11C22semidirect
75. #10623052C22semidirect
76. #10623008C22semidirect
80. C2×C4×D44C22semidirect
81. C11×#485C22semidirect
82. C11×#482C22semidirect
83. C11×#479C22semidirect
84. C11×#478C22semidirect
85. C11×#464C22semidirect
86. C11×#463C22semidirect
87. C11×#452C22semidirect
89. C11×#442C22semidirect
90. C11×#441C22semidirect
91. C11×#440C22semidirect
92. C11×#440C22semidirect
93. C11×#432C22semidirect
95. #10622851C22semidirect
96. #10622800C22semidirect
97. #10622798C22semidirect
98. #10622797C22semidirect
100. #10622782C22semidirect
101. #10622778C22semidirect
102. #10622776C22semidirect
103. SD16×Dic11C22semidirect
104. SD16×Dic11C22semidirect
106. #10622765C22semidirect
107. #10622763C22semidirect
108. #10622679C22semidirect
109. #10622679C22semidirect
110. #10622670C22semidirect
111. #10622670C22semidirect
112. #10622659C22semidirect
113. #10622656C22semidirect
115. #10622646C22semidirect
116. #10622640C22semidirect
117. #10622639C22semidirect
118. #10622639C22semidirect
119. #10622639C22semidirect
120. #10622639C22semidirect
121. #10622633C22semidirect
122. #10622628C22semidirect
123. #10622627C22semidirect
124. #10622627C22semidirect
125. #10622627C22semidirect
126. #10622627C22semidirect
127. #10622620C22semidirect
128. #10622616C22semidirect
129. #10622616C22semidirect
130. #10622539C22semidirect
131. #10622504C22semidirect
132. #10622503C22semidirect
133. #10622498C22semidirect
134. #10622495C22semidirect
135. #10622494C22semidirect
136. #10622494C22semidirect
137. #10622485C22semidirect
138. #10622485C22semidirect
139. #10622484C22semidirect
140. #10622483C22semidirect
141. #10622482C22semidirect
142. #10622482C22semidirect
143. #10622479C22semidirect
144. #10622476C22semidirect
145. #10622473C22semidirect
146. D11×#106C22semidirect
147. #10622456C22semidirect
148. #10622456C22semidirect
149. #10622455C22semidirect
150. #10622455C22semidirect
151. #10622453C22semidirect
152. #10622453C22semidirect
153. #10622452C22semidirect
154. #10622452C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622430C22semidirect
158. #10622430C22semidirect
159. #10622428C22semidirect
161. #10622424C22semidirect
162. #10622418C22semidirect
164. #10622417C22semidirect
166. #10622416C22semidirect
167. #10622412C22semidirect
168. #10622404C22semidirect
169. #10622401C22semidirect
170. #10622401C22semidirect
171. #10622399C22semidirect
172. #10622399C22semidirect
173. #10622398C22semidirect
174. #10622398C22semidirect
175. #10622392C22semidirect
176. #10622390C22semidirect
178. #10622386C22semidirect
180. #10622383C22semidirect
182. D11×#102C22semidirect
183. #10622376C22semidirect
184. #10622374C22semidirect
185. #10622369C22semidirect
186. #10622369C22semidirect
187. #10622348C22semidirect
188. #10622348C22semidirect
190. #10622345C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
195. #10622324C22semidirect
196. #10622324C22semidirect
197. #10622324C22semidirect
198. #10622324C22semidirect
199. #10622320C22semidirect
200. #10622318C22semidirect
201. #10622318C22semidirect
202. D11×#97C22semidirect
523. #4343#41semidirect
531. D4×D11#41semidirect
719. #3111D11semidirect
886. #529C2×D11semidirect
905. C4×#41C2×D11semidirect
914. #485C2×D11semidirect
922. #482C2×D11semidirect
930. #479C2×D11semidirect
936. #478C2×D11semidirect
946. #464C2×D11semidirect
952. #463C2×D11semidirect
962. #452C2×D11semidirect
990. #442C2×D11semidirect
992. #441C2×D11semidirect
999. #440C2×D11semidirect
1000. #440C2×D11semidirect
1016. #432C2×D11semidirect
1602. C11#60574semidirect

Maximal subgroups

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

subgroupindex
#130820372
C4×#670422
#130788922
#130788862
#130788612
#130788552
#130788222
#130788162
#130788032
#130787992
#130787672
#130787652
#130787582
#130787502
#130787312
#130787082
#130787052
#130786022
#130785692
#130784812
#130784462
#130781582
#130781172
#130779242
#130778812
#130774212
#130774152
D11×#4422
#130772622
C11×#31112
#6057411