Finite Group Databasebeta

← #15639525

Subgroups — #15639525

Order 2816.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082920C211yesmaximal, characteristic, complemented
2#13082271C211yesmaximal, characteristic, complemented
3#13080939C211yesmaximal, characteristic, complemented
4#13080888C211yesmaximal, characteristic, complemented
5#13080795C211yesmaximal, characteristic, complemented
6#13080746C211yesmaximal, characteristic, complemented
7#13080623C211yesmaximal, characteristic, complemented
8#13080603C211yesmaximal, characteristic, complemented
9#13080559C211yesmaximal, characteristic, complemented
10#13080514C211yesmaximal, characteristic, complemented
11#13080370C211yesmaximal, characteristic, complemented
12#13080316C211yesmaximal, characteristic, complemented
13#13080241C211yesmaximal, characteristic, complemented
14#13080229C211yesmaximal, characteristic, complemented
15#13080195C211yesmaximal, characteristic, complemented
16#13080159C211yesmaximal, characteristic, complemented
17#13080156C211yesmaximal, characteristic, complemented
18#13080104C211yesmaximal, characteristic, complemented
19#13079716C211yesmaximal, characteristic, complemented
20#13079664C211yesmaximal, characteristic, complemented
21#13079481C211yesmaximal, characteristic, complemented
22#13079462C211yesmaximal, characteristic, complemented
23#13079457C211yesmaximal, characteristic, complemented
24#13079379C211yesmaximal, characteristic, complemented
25#13078901C211yesmaximal, characteristic, complemented
26#13078846C211yesmaximal, characteristic, complemented
27#13077902C211yesmaximal, characteristic, complemented
28#13077867C211yesmaximal, characteristic, complemented
29#13077839C211yesmaximal, characteristic, complemented
30#13077659C211yesmaximal, characteristic, complemented
31C11×#3013C211yesmaximal, characteristic, complemented
32C2×C11×2−1+4C2211yescharacteristic, complemented
33C22×#4343C2211yescharacteristic, complemented
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#537C2211yescharacteristic
37#10623365—21no—
38#10623365—21no—
39#10623365C2211yescharacteristic
40#10623365C2211yescharacteristic, complemented
41#10623365C2211yescharacteristic, complemented
42#10623365C2211yescharacteristic, complemented
43#10623365C2211yescharacteristic, complemented
44#10623361—21no—
45#10623361—21no—
46#10623361C2211yescharacteristic
47#10623361C2211yescharacteristic, complemented
48#10623361C2211yescharacteristic, complemented
49#10623360C2211yescharacteristic, complemented
50#10623359—21no—
51#10623359—21no—
52#10623359C2211yescharacteristic
53#10623359C2211yescharacteristic, complemented
54C2×#67002C2211yescharacteristic, complemented
55#10623348—21no—
56#10623348—21no—
57#10623348C2211yescharacteristic
58#10623348C2211yescharacteristic, complemented
59#10623348C2211yescharacteristic, complemented
60#10623348C2211yescharacteristic, complemented
61#10623343C2211yescharacteristic, complemented
62C22×#4325C2211yescharacteristic, complemented
63C2×#66972C2211yescharacteristic, complemented
64C2×#66972C2211yescharacteristic, complemented
65C2×#66967C2211yescharacteristic
66C2×#66967C2211yescharacteristic
67#10623178—21no—
68#10623174C2211yescharacteristic
69#10623170C2211yescharacteristic, complemented
70#10623168—21no—
71#10623161C2211yescharacteristic, complemented
72#10623158C2211yescharacteristic
73#10623151—21no—
74#10623150C2211yescharacteristic
75#10623147C2211yescharacteristic, complemented
76#10623146—21no—
77#10623144—21no—
78#10623143—21no—
79#10623140C2211yescharacteristic, complemented
80#10623138—21no—
81#10623136—21no—
82D11×#121C2211yescharacteristic
83#10623045C2211yescharacteristic, complemented
84#10623038C2211yescharacteristic, complemented
85C11×#452C2211yescharacteristic, complemented
86C11×#452C2211yescharacteristic, complemented
87C11×#451C2211yescharacteristic, complemented
88C11×#451C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#449C2211yescharacteristic, complemented
91C11×#448C2211yescharacteristic, complemented
92C11×#448C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C2×C11×#103C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic
97#10622851C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622851C2211yescharacteristic, complemented
101#10622851C2211yescharacteristic, complemented
102#10622847C2211yescharacteristic, complemented
103#10622846C2211yescharacteristic, complemented
104#10622840C2211yescharacteristic
105#10622840C2211yescharacteristic, complemented
106#10622840C2211yescharacteristic, complemented
107#10622840C2211yescharacteristic, complemented
108#10622838C2211yescharacteristic, complemented
109#10622804C2211yescharacteristic, complemented
110#10622802C2211yescharacteristic, complemented
111#10622800C2211yescharacteristic, complemented
112#10622800C2211yescharacteristic, complemented
113#10622800C2211yescharacteristic, complemented
114#10622798C2211yescharacteristic, complemented
115#10622798C2211yescharacteristic, complemented
116#10622798C2211yescharacteristic, complemented
117#10622797C2211yescharacteristic, complemented
118Q16×Dic11C2211yescharacteristic, complemented
119#10622789C2211yescharacteristic, complemented
120#10622789C2211yescharacteristic, complemented
121#10622787C2211yescharacteristic, complemented
122#10622785C2211yescharacteristic, complemented
123#10622785C2211yescharacteristic, complemented
124#10622785C2211yescharacteristic, complemented
125#10622784C2211yescharacteristic, complemented
126#10622782C2211yescharacteristic, complemented
127#10622778C2211yescharacteristic, complemented
128#10622777C2211yescharacteristic, complemented
129#10622776C2211yescharacteristic, complemented
130#10622776C2211yescharacteristic, complemented
131#10622776C2211yescharacteristic, complemented
132SD16×Dic11C2211yescharacteristic, complemented
133#10622770C2211yescharacteristic, complemented
134#10622769C2211yescharacteristic, complemented
135#10622764C2211yescharacteristic, complemented
136#10622763C2211yescharacteristic, complemented
137#10622748C2211yescharacteristic, complemented
138#10622748C2211yescharacteristic, complemented
139#10622741C2211yescharacteristic, complemented
140#10622740C2211yescharacteristic, complemented
141#10622728C2211yescharacteristic, complemented
142#10622728C2211yescharacteristic, complemented
143#10622724C2211yescharacteristic, complemented
144C8×C22⋊D11C2211yescharacteristic, complemented
145#10622662C2211yescharacteristic, complemented
146#10622661C2211yescharacteristic, complemented
147#10622659C2211yescharacteristic, complemented
148#10622658C2211yescharacteristic, complemented
149#10622652C2211yescharacteristic, complemented
150#10622651C2211yescharacteristic, complemented
151#10622649C2211yescharacteristic, complemented
152#10622648C2211yescharacteristic, complemented
153#10622581C2211yescharacteristic, complemented
154#10622580C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622430C2211yescharacteristic, complemented
158#10622430C2211yescharacteristic, complemented
159#10622427C2211yescharacteristic, complemented
160#10622425C2211yescharacteristic, complemented
161#10622424C2211yescharacteristic
162#10622424C2211yescharacteristic
163#10622424C2211yescharacteristic
164#10622424C2211yescharacteristic
165#10622422C2211yescharacteristic, complemented
166#10622420C2211yescharacteristic, complemented
167#10622417C2211yescharacteristic, complemented
168#10622417C2211yescharacteristic, complemented
169#10622416C2211yescharacteristic, complemented
170#10622416C2211yescharacteristic, complemented
171#10622413C2211yescharacteristic, complemented
172#10622412C2211yescharacteristic, complemented
173#10622409C2211yescharacteristic, complemented
174#10622408C2211yescharacteristic, complemented
175#10622407C2211yescharacteristic, complemented
176#10622404C2211yescharacteristic, complemented
177#10622401C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic, complemented
180#10622399C2211yescharacteristic, complemented
181#10622395C2211yescharacteristic, complemented
182#10622392C2211yescharacteristic, complemented
183#10622390C2211yescharacteristic, complemented
184#10622388C2211yescharacteristic, complemented
185#10622377C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic
188#10622350C2211yescharacteristic, complemented
189#10622350C2211yescharacteristic, complemented
190#10622350C2211yescharacteristic, complemented
191#10622345C2211yescharacteristic
192#10622345C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622341C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199(C22⋊D11)⋊C8C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic, complemented
201#10622333C2211yescharacteristic, complemented
202#10622333C2211yescharacteristic, complemented
203C11×2−1+4—42no—
204C11×2−1+4—42no—
205C2×C11×#41—21no—
206C2×C11×#41—21no—
207C2×C11×#41—21no—
208C2×C11×#41C2311yescharacteristic
209C2×C11×#41C2311yescharacteristic
210C2×C11×#41C2311yescharacteristic
211C2×C11×#41C2311yescharacteristic
212C2×C11×#41C2311yescharacteristic
213C22×Q8×C11—21no—
214C22×Q8×C11C2311yescharacteristic
215C22×Q8×C11C2311yescharacteristic
216C22×Q8×C11C2311yescharacteristic
217C2×#4343—21no—
218C2×#4343—21no—
219C2×#4343—42no—
220C2×#4343—42no—
221C2×#4343C2311yescharacteristic
222C2×#4343C2311yescharacteristic
223C2×#4343C2311yescharacteristic
224C2×#4343C2311yescharacteristic
225C2×#4343C2311yescharacteristic
226C2×D4×D11—21no—
227C2×D4×D11—21no—
228C2×D4×D11C2311yescharacteristic
229C2×#4339—21no—
230C22×D44—21no—
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C11×#137—42no—
236C11×#135—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×Q16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×M16C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8C2311yescharacteristic
249C11×C22⋊Q8C2311yescharacteristic
250C11×#121—21no—
251C11×#121—21no—
252C11×#121—21no—
253C11×#121C2311yescharacteristic
254C11×#121C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#67002—42no—
257#67000—21no—
258#67000—21no—
259#67000—21no—
260#67000—21no—
261#67000—21no—
262#67000—21no—
263#67000C2311yescharacteristic
264#67000C2311yescharacteristic
265#67000C2311yescharacteristic
266#66999—21no—
267#66999—21no—
268#66999—21no—
269#66999—21no—
270#66999D411yescharacteristic
271#66999D411yescharacteristic
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275Q8×Dic11—21no—
276Q8×Dic11—21no—
277Q8×Dic11C2311yescharacteristic
278Q8×Dic11C2311yescharacteristic
279Q8×Dic11C2311yescharacteristic
280Q8×Dic11C2311yescharacteristic
281Q8×Dic11C2311yescharacteristic
282C2×#4325—42no—
283C2×#4325C2311yescharacteristic
284C2×#4325C2311yescharacteristic
285C2×#4325C2311yescharacteristic
286C2×#4325C2311yescharacteristic
287C2×#4325C2311yescharacteristic
288C2×#4325C2311yescharacteristic
289C2×#4325C2311yescharacteristic
290C2×#4325C2311yescharacteristic
291#66993—21no—
292#66993—21no—
293#66993—21no—
294#66993—21no—
295#66993—21no—
296#66993—21no—
297#66993—21no—
298#66993C2311yescharacteristic
299#66993C2311yescharacteristic
300#66993C2311yescharacteristic
301#66992—21no—
302#66992—21no—
303#66992—21no—
304#66992—21no—
305#66991—21no—
306#66991—21no—
307#66991—21no—
308#66991—21no—
309#66991—21no—
310#66991—21no—
311#66991D411yescharacteristic
312#66991D411yescharacteristic
313#66991C2311yescharacteristic
314#66991C2311yescharacteristic
315#66991C2311yescharacteristic
316#66990—21no—
317#66990—21no—
318#66990—21no—
319#66990—21no—
320#66990—21no—
321#66990—21no—
322#66990—21no—
323#66990—21no—
324#66990—21no—
325#66990D411yescharacteristic
326#66990D411yescharacteristic
327#66989—21no—
328#66988—21no—
329#66988D411yescharacteristic
330#66988D411yescharacteristic
331D4×Dic11C2311yescharacteristic
332C2×#4323C2311yescharacteristic
333C2×#4323C2311yescharacteristic
334C2×#4323C2311yescharacteristic
335C2×#4323C2311yescharacteristic
336#66983—21no—
337#66983—21no—
338#66983—21no—
339#66983—21no—
340#66983—21no—
341#66983—21no—
342#66983—21no—
343#66983—21no—
344#66983—21no—
345#66983—21no—
346#66983—21no—
347#66983—21no—
348#66983C2311yescharacteristic
349#66983C2311yescharacteristic
350#66983C2311yescharacteristic
351#66983C2311yescharacteristic
352#66983C2311yescharacteristic
353#66983C2311yescharacteristic
354#66983C2311yescharacteristic
355#66983C2311yescharacteristic
356#66982—21no—
357#66982—21no—
358C4×C22⋊D11—21no—
359C4×C22⋊D11—21no—
360C4×C22⋊D11—21no—
361C4×C22⋊D11—21no—
362C4×C22⋊D11—21no—
363C4×C22⋊D11—21no—
364C4×C22⋊D11—21no—
365C4×C22⋊D11—21no—
366C4×C22⋊D11—21no—
367C4×C22⋊D11—21no—
368C4×C22⋊D11—21no—
369C4×C22⋊D11—21no—
370C4×C22⋊D11C2311yescharacteristic
371C4×C22⋊D11C2311yescharacteristic
372C4×C22⋊D11C2311yescharacteristic
373C4×C22⋊D11C2311yescharacteristic
374C2×(C2×D11)⋊C4—21no—
375#66979—21no—
376#66979—21no—
377#66979C2311yescharacteristic
378#66979C2311yescharacteristic
379#66979C2311yescharacteristic
380C2×#4318C2311yescharacteristic
381C22×C11⋊C8C2311yescharacteristic
382#66972—42no—
383#66972—42no—
384#66967—42no—
385#66967—42no—
386C2×D88C2311yescharacteristic
387C2×D88C2311yescharacteristic
388C2×D88C2311yescharacteristic
389C2×D88C2311yescharacteristic
390C2×#4313C2311yescharacteristic
391C2×#4313C2311yescharacteristic
392C2×C8×D11C2311yescharacteristic
393C2×C8×D11C2311yescharacteristic
394#66951—21no—
395#66951—21no—
396#66950—21no—
397#66949—21no—
398#66948—21no—
399#66948C2311yescharacteristic
400#66948C2311yescharacteristic
401#66947—21no—
402#66947—21no—
403#66947—21no—
404#66947—21no—
405#66946—21no—
406#66946C2311yescharacteristic
407#66946C2311yescharacteristic
408#66945—21no—
409#66945C2311yescharacteristic
410C4⋊C4×D11C2311yescharacteristic
411#66943C2311yescharacteristic
412#66942—21no—
413#66941C2311yescharacteristic
414#66939—21no—
415#66938—21no—
416#66938—21no—
417#66937—21no—
418#66937—21no—
419#66936—21no—
420#66936—21no—
421#66936—21no—
422#66935—21no—
423#66935—21no—
424#66935—21no—
425(C22⋊D11)⋊C4—21no—
426C22⋊C4×D11—21no—
427C22⋊C4×D11—21no—
428#66932—21no—
429#66930—21no—
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455C22⋊(C11⋊C8)C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462#66885C2311yescharacteristic
463#66885C2311yescharacteristic
464#66885C2311yescharacteristic
465#66885C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468(C2×D11)⋊C8C2311yescharacteristic
469(C2×D11)⋊C8C2311yescharacteristic
470#66882C2311yescharacteristic
471#66882C2311yescharacteristic
472#66881C2311yescharacteristic
473#66881C2311yescharacteristic
474#66879C2311yescharacteristic
475#66879C2311yescharacteristic
476Dic11⋊C8C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479Dic11⋊C8C2311yescharacteristic
480C8×Dic11C2311yescharacteristic
481C8×Dic11C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#61616—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—22no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—44no—
504C11×#41—44no—
505C11×#41—41no—
506C11×#41—41no—
507C11×#41—44no—
508C2×Q8×C11—22no—
509C2×Q8×C11—22no—
510C2×Q8×C11—21no—
511C2×Q8×C11—21no—
512C2×Q8×C11—21no—
513C2×Q8×C11—22no—
514C2×Q8×C11—22no—
515C2×Q8×C11—41no—
516C2×Q8×C11—41no—
517C2×Q8×C11—44no—
518C2×Q8×C11C2×D411yescharacteristic
519C2×Q8×C11C2411yescharacteristic
520C2×Q8×C11C2411yescharacteristic
521C2×Q8×C11C2411yescharacteristic
522C2×Q8×C11C2411yescharacteristic
523C2×D4×C11—21no—
524C2×D4×C11—21no—
525C2×D4×C11—21no—
526C2×D4×C11—21no—
527C2×D4×C11—21no—
528C2×D4×C11—21no—
529C2×D4×C11C2×D411yescharacteristic
530C2×D4×C11C2×D411yescharacteristic
531C2×D4×C11C2×D411yescharacteristic
532C2×D4×C11C2411yescharacteristic
533C2×D4×C11C2411yescharacteristic
534C22×C4×C11—21no—
535C22×C4×C11—21no—
536C22×C4×C11—21no—
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11C2411yescharacteristic
543C22×C4×C11C2411yescharacteristic
544C22×C4×C11C2411yescharacteristic
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—21no—
551C2×C22⋊D11—21no—
552C2×C22⋊D11—21no—
553C2×C22⋊D11—21no—
554C2×C22⋊D11—21no—
555C2×C22⋊D11—21no—
556C2×C22⋊D11—21no—
557C2×C22⋊D11—21no—
558C2×C22⋊D11—21no—
559C2×C22⋊D11—21no—
560C2×C22⋊D11—21no—
561C2×C22⋊D11—21no—
562C2×C22⋊D11—21no—
563C2×C22⋊D11C2×D411yescharacteristic
564C2×C22⋊D11C2×D411yescharacteristic
565C2×C22⋊D11C2×D411yescharacteristic
566C2×C22⋊D11C2×D411yescharacteristic
567C22×Dic11—21no—
568C22×Dic11C2×D411yescharacteristic
569#4343—22no—
570#4343—22no—
571#4343—22no—
572#4343—22no—
573#4343—41no—
574#4343—41no—
575#4343—41no—
576#4343—41no—
577#4343—41no—
578#4343—41no—
579#4343—44no—
580#4343—44no—
581D4×D11—41no—
582D4×D11—41no—
583D4×D11—82no—
584D4×D11—82no—
585#4339—82no—
586C2×D44—21no—
587C2×D44—21no—
588C2×D44—21no—
589C2×D44—21no—
590C2×D44—21no—
591C2×D44—21no—
592C2×D44—21no—
593C2×D44—21no—
594C2×D44—21no—
595C2×D44—41no—
596C2×D44—41no—
597C2×D44—44no—
598C2×D44—41no—
599C2×D44—41no—
600C2×D44C2411yescharacteristic
601C2×D44C2411yescharacteristic
602C2×D44C2411yescharacteristic
603C2×D44C2411yescharacteristic
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—21no—
608C2×C4×D11—21no—
609C2×C4×D11—21no—
610C2×C4×D11—21no—
611C2×C4×D11—21no—
612C2×C4×D11—41no—
613C2×C4×D11—41no—
614C2×C4×D11—44no—
615C2×C4×D11C2×D411yescharacteristic
616C2×C4×D11C2×D411yescharacteristic
617C2×C4×D11C2411yescharacteristic
618C2×C4×D11C2411yescharacteristic
619C2×Dic22—21no—
620C11×Q16—22no—
621C11×Q16—22no—
622C11×Q16—41no—
623C11×SD16—22no—
624C11×SD16—22no—
625C11×SD16—41no—
626C11×SD16—41no—
627C11×D8—41no—
628C11×M16—41no—
629C2×C8×C11—41no—
630C2×C8×C11C2411yescharacteristic
631C2×C8×C11C2411yescharacteristic
632C2×C8×C11C2411yescharacteristic
633C2×C8×C11C2411yescharacteristic
634C11×C4⋊C4—21no—
635C11×C4⋊C4—21no—
636C11×C4⋊C4—21no—
637C11×C4⋊C4C2411yescharacteristic
638C11×C4⋊C4C2411yescharacteristic
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11C2×D411yescharacteristic
650C22⋊Dic11C2×D411yescharacteristic
651C22⋊Dic11C2×D411yescharacteristic
652C22⋊Dic11C2×D411yescharacteristic
653C22⋊Dic11C2×D411yescharacteristic
654C22⋊Dic11C2×D411yescharacteristic
655#4325—22no—
656#4325—22no—
657#4325—22no—
658#4325—22no—
659#4325—41no—
660#4325—41no—
661#4325—41no—
662#4325—41no—
663#4323—41no—
664#4323—41no—
665#4323—41no—
666#4323—41no—
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)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11C2×D411yescharacteristic
700C4⋊Dic11C2×D411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703C4⋊Dic11C2411yescharacteristic
704C4⋊Dic11C2411yescharacteristic
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4C2×D411yescharacteristic
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11C2411yescharacteristic
724C4×Dic11C2411yescharacteristic
725#4318—41no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731D88—41no—
732D88—41no—
733D88—41no—
734D88—41no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3542—111no—
740#3487—111no—
741#3332—111no—
742#3327—111no—
743#3321—111no—
744#3317—111no—
745#3309—111no—
746#3308—111no—
747#3305—111no—
748#3301—111no—
749#3287—111no—
750#3282—111no—
751#3275—111no—
752#3274—111no—
753#3271—111no—
754#3268—111no—
755#3268—111no—
756#3265—111no—
757#3224—111no—
758#3220—111no—
759#3199—111no—
760#3198—111no—
761#3197—111no—
762#3188—111no—
763#3126—111no—
764#3121—111no—
765#3013D1111yescharacteristic, complemented
766#3010—111no—
767#3006—111no—
768#3002—111no—
769#2976—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—21no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11C22×D411yescharacteristic
792C22×D11C22×D411yescharacteristic
793Q8×C11—24no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—41no—
801Q8×C11—42no—
802Q8×C11—42no—
803Q8×C11H(5,𝔽2)12yes—
804Q8×C11H(5,𝔽2)12yes—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—21no—
809D4×C11—41no—
810D4×C11—41no—
811D4×C11—41no—
812D4×C11—42no—
813D4×C11—42no—
814D4×C11—42no—
815D4×C11—81no—
816D4×C11—81no—
817D4×C11—81no—
818C2×C4×C11—24no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—21no—
827C2×C4×C11—21no—
828C2×C4×C11—21no—
829C2×C4×C11—21no—
830C2×C4×C11—21no—
831C2×C4×C11—42no—
832C2×C4×C11—42no—
833C2×C4×C11—42no—
834C2×C4×C11—42no—
835C2×C4×C11—42no—
836C2×C4×C11—81no—
837C2×C4×C11—81no—
838C2×C4×C11C22×D411yescharacteristic
839C2×C4×C11C22×D411yescharacteristic
840C2×C4×C11C22×D411yescharacteristic
841C2×C4×C11C2511yescharacteristic
842C22⋊D11—41no—
843C22⋊D11—41no—
844C22⋊D11—41no—
845C22⋊D11—41no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C22⋊D11—81no—
853C22⋊D11—81no—
854C22⋊D11—81no—
855C22⋊D11—81no—
856C22⋊D11—81no—
857C22⋊D11—81no—
858C22⋊D11—81no—
859C22⋊D11—81no—
860C22⋊D11—81no—
861C22⋊D11—81no—
862C22⋊D11—81no—
863C22⋊D11—81no—
864C2×Dic11—21no—
865C2×Dic11—21no—
866C2×Dic11—21no—
867C2×Dic11—21no—
868C2×Dic11—41no—
869C2×Dic11—81no—
870C2×Dic11C22×D411yescharacteristic
871C2×Dic11C22×D411yescharacteristic
872C2×Dic11C22×D411yescharacteristic
873C2×Dic11C22×D411yescharacteristic
874C2×Dic11C22×D411yescharacteristic
875C2×Dic11C22×D411yescharacteristic
876D44—21no—
877D44—21no—
878D44—21no—
879D44—21no—
880D44—21no—
881D44—21no—
882D44—21no—
883D44—21no—
884D44—42no—
885D44—42no—
886D44—42no—
887D44—42no—
888D44—42no—
889D44—42no—
890D44—81no—
891D44—81no—
892D44—81no—
893C4×D11—21no—
894C4×D11—21no—
895C4×D11—21no—
896C4×D11—21no—
897C4×D11—41no—
898C4×D11—41no—
899C4×D11—42no—
900C4×D11—42no—
901C4×D11—42no—
902C4×D11—42no—
903C4×D11—42no—
904C4×D11—81no—
905C4×D11—81no—
906C4×D11—81no—
907Dic22—81no—
908C8×C11—21no—
909C8×C11—21no—
910C8×C11—21no—
911C8×C11—21no—
912C11⋊C8—21no—
913C11⋊C8—21no—
914C11⋊C8—21no—
915C11⋊C8—21no—
916C2×2−1+4C2×D1111yescharacteristic, complemented
917C22×#41—111no—
918C2×#137C2×D1111yescharacteristic, complemented
919C2×AGL(1,ℤ/8)—111no—
920C2×AGL(1,ℤ/8)—111no—
921C2×AGL(1,ℤ/8)—111no—
922C2×#135—111no—
923C2×#135—111no—
924C2×#135C2×D1111yescharacteristic, complemented
925C22×SD16—111no—
926#562—221no—
927#560—221no—
928#555—111no—
929#553—111no—
930#552—111no—
931#551—221no—
932#550—111no—
933#550—111no—
934#550—111no—
935#550—111no—
936#550—111no—
937#550—221no—
938#550—221no—
939#548—111no—
940#548—111no—
941#548—111no—
942#548—111no—
943#548—221no—
944#548—221no—
945#547—111no—
946#546—111no—
947#546—111no—
948#546—221no—
949D42—111no—
950#542—111no—
951#540—111no—
952#540—221no—
953#538—221no—
954#537C2×D1111yescharacteristic
955#535—111no—
956#535—111no—
957#535—111no—
958#535—221no—
959#535—221no—
960#535—221no—
961#534—221no—
962#525—111no—
963#525—111no—
964#525—111no—
965#525—221no—
966#525—221no—
967C2×#121—111no—
968#519—111no—
969#496—111no—
970#496—111no—
971#495—111no—
972#493—111no—
973#490—111no—
974#489—111no—
975#488—111no—
976#486—111no—
977#485—111no—
978#485—111no—
979#484—111no—
980#482—111no—
981#482—111no—
982#482—111no—
983#482—111no—
984#482—111no—
985#482—111no—
986#481—111no—
987#481—111no—
988#480—111no—
989#479—111no—
990#479—111no—
991#477—111no—
992#475—111no—
993#470—111no—
994#469—111no—
995#469—111no—
996#469—111no—
997#469—111no—
998#468—111no—
999#468—111no—
1000#468—111no—
1001#466—111no—
1002#466—111no—
1003#466—111no—
1004#466—111no—
1005#466—111no—
1006#465—111no—
1007#465—111no—
1008#465—111no—
1009#464—111no—
1010#464—111no—
1011#464—111no—
1012#463—111no—
1013#463—111no—
1014#463—111no—
1015#460—111no—
1016#460—111no—
1017#460—111no—
1018#459—111no—
1019#459—111no—
1020#459—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452C2×D1111yescharacteristic, complemented
1025#452C2×D1111yescharacteristic, complemented
1026#451C2×D1111yescharacteristic, complemented
1027#451C2×D1111yescharacteristic, complemented
1028#450—111no—
1029#450—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—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#449C2×D1111yescharacteristic, complemented
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#448—111no—
1049#448C2×D1111yescharacteristic, complemented
1050#448C2×D1111yescharacteristic, complemented
1051#447—111no—
1052#447—111no—
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447—111no—
1057#441—111no—
1058#440—111no—
1059#440—111no—
1060#440—111no—
1061C4×Q16—111no—
1062C4×SD16—111no—
1063C4×SD16—111no—
1064C4×SD16—111no—
1065#436—111no—
1066#436—111no—
1067#435—111no—
1068#435—111no—
1069#435—111no—
1070#435—111no—
1071C8×D4—111no—
1072C8×D4—111no—
1073#433—111no—
1074#433—111no—
1075#419—111no—
1076#417—111no—
1077#417—111no—
1078#417C2×D1111yescharacteristic, complemented
1079#416—111no—
1080#416—111no—
1081#416—111no—
1082C2×#103C2×D1111yescharacteristic, complemented
1083#408—111no—
1084#408C2×D1111yescharacteristic, complemented
1085#407—111no—
1086C2×C22⋊C8—111no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—21no—
1094C22×C11—21no—
1095C22×C11—21no—
1096C22×C11—41no—
1097C22×C11—41no—
1098C22×C11—41no—
1099C22×C11—41no—
1100C22×C11—41no—
1101C22×C11—41no—
1102C22×C11C23×D411yescharacteristic
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—41no—
1116C2×D11—41no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—82no—
1122C2×D11—84no—
1123C2×D11—162no—
1124C2×D11—162no—
1125C4×C11—22no—
1126C4×C11—22no—
1127C4×C11—21no—
1128C4×C11—21no—
1129C4×C11—21no—
1130C4×C11—41no—
1131C4×C11—41no—
1132C4×C11—41no—
1133C4×C11—41no—
1134C4×C11C2×H(5,𝔽2)11yescharacteristic
1135C4×C11C2×H(5,𝔽2)11yescharacteristic
1136Dic11—21no—
1137Dic11—21no—
1138Dic11—21no—
1139Dic11—21no—
1140Dic11—21no—
1141Dic11—21no—
1142Dic11—41no—
1143Dic11—41no—
1144Dic11—41no—
1145Dic11—41no—
11462−1+4—42no—
11472−1+4—42no—
1148C2×#41—21no—
1149C2×#41—21no—
1150C2×#41—21no—
1151C2×#41—111no—
1152C2×#41—111no—
1153C2×#41—111no—
1154C2×#41—111no—
1155C2×#41—111no—
1156C2×#41—221no—
1157C2×#41—221no—
1158C2×#41—221no—
1159C2×#41—442no—
1160C2×#41—442no—
1161C2×#41C22×D1111yescharacteristic
1162C2×#41C22×D1111yescharacteristic
1163C2×#41C22×D1111yescharacteristic
1164C2×#41C22×D1111yescharacteristic
1165C2×#41C22×D1111yescharacteristic
1166C22×Q8—21no—
1167C22×Q8C22×D1111yescharacteristic
1168C22×Q8C22×D1111yescharacteristic
1169C22×Q8C22×D1111yescharacteristic
1170C22×D4—111no—
1171C22×D4—111no—
1172C22×D4—111no—
1173C22×D4—221no—
1174C22×D4—221no—
1175C22×D4—221no—
1176C23×C4—111no—
1177C23×C4—221no—
1178#137—42no—
1179AGL(1,ℤ/8)—442no—
1180AGL(1,ℤ/8)—442no—
1181AGL(1,ℤ/8)—442no—
1182#135—42no—
1183#135—442no—
1184#135—442no—
1185C2×Q16C22×D1111yescharacteristic
1186C2×Q16C22×D1111yescharacteristic
1187C2×Q16C22×D1111yescharacteristic
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×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×SD16C22×D1111yescharacteristic
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×D8—111no—
1205C2×D8—111no—
1206C2×D8—111no—
1207C2×D8—111no—
1208C2×D8—111no—
1209C2×D8C22×D1111yescharacteristic
1210C2×M16—111no—
1211C2×M16—111no—
1212C2×M16—111no—
1213C2×M16C22×D1111yescharacteristic
1214C22×C8—111no—
1215C22×C8—111no—
1216C22×C8—111no—
1217C22×C8C22×D1111yescharacteristic
1218C4⋊Q8—111no—
1219#127—111no—
1220#127—111no—
1221#127—111no—
1222#127—221no—
1223#127—221no—
1224#127—221no—
1225#127—221no—
1226#127—221no—
1227#127—221no—
1228#127—221no—
1229#126—221no—
1230#126—221no—
1231#126—221no—
1232#125—111no—
1233#125—221no—
1234#124—111no—
1235#124—111no—
1236#124—111no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#124—221no—
1242#124—221no—
1243#124—221no—
1244#124—221no—
1245#124—221no—
1246#123—111no—
1247#123—111no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256#123—221no—
1257#123—221no—
1258#123—221no—
1259C22⋊Q8—21no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8C22×D1111yescharacteristic
1272C22⋊Q8C22×D1111yescharacteristic
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#121—221no—
1316#121C22×D1111yescharacteristic
1317#121C22×D1111yescharacteristic
1318#120—111no—
1319#120—111no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—221no—
1329#120—221no—
1330#120—221no—
1331#120—221no—
1332C4×Q8—111no—
1333C4×Q8—111no—
1334C4×Q8—111no—
1335C4×Q8—111no—
1336C4×Q8—111no—
1337C4×Q8—221no—
1338C4×Q8—221no—
1339C4×D4—111no—
1340C4×D4—111no—
1341C4×D4—111no—
1342C4×D4—111no—
1343C4×D4—111no—
1344C4×D4—111no—
1345C4×D4—111no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352C4×D4—221no—
1353C4×D4—221no—
1354C4×D4—221no—
1355C4×D4—221no—
1356C4×D4—221no—
1357C4×D4—221no—
1358C4×D4—221no—
1359C4×D4—221no—
1360#117—111no—
1361#117—111no—
1362#117—111no—
1363#117—111no—
1364#117—221no—
1365#117—221no—
1366#117—221no—
1367#117—221no—
1368C2×C4⋊C4—111no—
1369C2×C4⋊C4C22×D1111yescharacteristic
1370C2×C22⋊C4—221no—
1371C2×C22⋊C4—221no—
1372C2×C22⋊C4—221no—
1373#107—111no—
1374#107—111no—
1375#107—111no—
1376#107—111no—
1377#106—111no—
1378#106—111no—
1379#106—111no—
1380#106—111no—
1381C4⋊C8—111no—
1382C4⋊C8—111no—
1383C4⋊C8—111no—
1384C4⋊C8—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103—111no—
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
1395#103C22×D1111yescharacteristic
1396#103C22×D1111yescharacteristic
1397#103C22×D1111yescharacteristic
1398#103C22×D1111yescharacteristic
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102—111no—
1415#102C22×D1111yescharacteristic
1416#102C22×D1111yescharacteristic
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8C22×D1111yescharacteristic
1426C22⋊C8C22×D1111yescharacteristic
1427C22⋊C8C22×D1111yescharacteristic
1428C22⋊C8C22×D1111yescharacteristic
1429#97—111no—
1430#97—111no—
1431C4×C8—111no—
1432C4×C8—111no—
1433C2×C11—41no—
1434C2×C11—41no—
1435C2×C11—41no—
1436C2×C11—81no—
1437C2×C11—81no—
1438C2×C11#348411yescharacteristic
1439C2×C11#358411yescharacteristic
1440C2×C11#358511yescharacteristic
1441D11—41no—
1442D11—41no—
1443D11—81no—
1444D11—81no—
1445D11—81no—
1446D11—81no—
1447C24—111no—
1448C24—221no—
1449C24—221no—
1450C24—221no—
1451#41—22no—
1452#41—22no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—44no—
1460#41—44no—
1461#41—41no—
1462#41—41no—
1463#41—44no—
1464#41—222no—
1465#41—222no—
1466#41—222no—
1467#41—222no—
1468#41—441no—
1469#41—441no—
1470#41—441no—
1471#41—441no—
1472#41—441no—
1473#41—441no—
1474#41—444no—
1475#41—444no—
1476#41—882no—
1477C2×Q8—22no—
1478C2×Q8—22no—
1479C2×Q8—21no—
1480C2×Q8—21no—
1481C2×Q8—21no—
1482C2×Q8—22no—
1483C2×Q8—22no—
1484C2×Q8—41no—
1485C2×Q8—41no—
1486C2×Q8—44no—
1487C2×Q8—221no—
1488C2×Q8D4×D1111yescharacteristic
1489C2×Q8C23×D1111yescharacteristic
1490C2×Q8C23×D1111yescharacteristic
1491C2×Q8C23×D1111yescharacteristic
1492C2×Q8C23×D1111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—111no—
1500C2×D4—111no—
1501C2×D4—111no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—111no—
1506C2×D4—111no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—221no—
1533C2×D4—221no—
1534C2×D4—441no—
1535C2×D4—441no—
1536C2×D4—441no—
1537C2×D4—441no—
1538C2×D4—444no—
1539C2×D4—441no—
1540C2×D4—441no—
1541C2×D4—882no—
1542C2×D4—882no—
1543C2×D4D4×D1111yescharacteristic
1544C2×D4D4×D1111yescharacteristic
1545C2×D4D4×D1111yescharacteristic
1546C2×D4C23×D1111yescharacteristic
1547C2×D4C23×D1111yescharacteristic
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—111no—
1557C22×C4—111no—
1558C22×C4—111no—
1559C22×C4—111no—
1560C22×C4—111no—
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—441no—
1571C22×C4—441no—
1572C22×C4—444no—
1573C22×C4C23×D1111yescharacteristic
1574C22×C4C23×D1111yescharacteristic
1575C22×C4C23×D1111yescharacteristic
1576Q16—22no—
1577Q16—22no—
1578Q16—41no—
1579SD16—22no—
1580SD16—22no—
1581SD16—41no—
1582SD16—41no—
1583SD16—222no—
1584SD16—222no—
1585SD16—222no—
1586SD16—222no—
1587SD16—441no—
1588SD16—441no—
1589SD16—441no—
1590SD16—441no—
1591D8—41no—
1592D8—441no—
1593D8—441no—
1594D8—441no—
1595D8—441no—
1596D8—441no—
1597D8—441no—
1598D8—441no—
1599D8—441no—
1600M16—41no—
1601M16—441no—
1602M16—441no—
1603M16—441no—
1604C2×C8—41no—
1605C2×C8—111no—
1606C2×C8—111no—
1607C2×C8—111no—
1608C2×C8—111no—
1609C2×C8—441no—
1610C2×C8—441no—
1611C2×C8—441no—
1612C2×C8C23×D1111yescharacteristic
1613C2×C8C23×D1111yescharacteristic
1614C2×C8C23×D1111yescharacteristic
1615C2×C8C23×D1111yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—111no—
1620C4⋊C4—111no—
1621C4⋊C4—111no—
1622C4⋊C4—111no—
1623C4⋊C4—111no—
1624C4⋊C4—111no—
1625C4⋊C4—111no—
1626C4⋊C4—111no—
1627C4⋊C4—111no—
1628C4⋊C4—111no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4—221no—
1637C4⋊C4—221no—
1638C4⋊C4—221no—
1639C4⋊C4—221no—
1640C4⋊C4—221no—
1641C4⋊C4C23×D1111yescharacteristic
1642C4⋊C4C23×D1111yescharacteristic
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—111no—
1651C22⋊C4—111no—
1652C22⋊C4—111no—
1653C22⋊C4—111no—
1654C22⋊C4—111no—
1655C22⋊C4—111no—
1656C22⋊C4—111no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4—221no—
1678C22⋊C4—221no—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C42—111no—
1686C42—111no—
1687C42—221no—
1688C42—221no—
1689C42—221no—
1690C42—221no—
1691C42—221no—
1692C42—221no—
1693C42—221no—
1694C42—221no—
1695C11#6161611yescharacteristic, complemented, Sylow
1696C23—21no—
1697C23—21no—
1698C23—111no—
1699C23—111no—
1700C23—221no—
1701C23—221no—
1702C23—221no—
1703C23—221no—
1704C23—441no—
1705C23—441no—
1706C23—441no—
1707C23—442no—
1708C23—442no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23—881no—
1713C23—881no—
1714C23—881no—
1715C23—881no—
1716C23C2×D4×D1111yescharacteristic
1717C23C2×D4×D1111yescharacteristic
1718C23C2×D4×D1111yescharacteristic
1719Q8—24no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—41no—
1727Q8—42no—
1728Q8—42no—
1729Q8—881no—
1730Q8#6703712yes—
1731Q8#6703712yes—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—41no—
1737D4—41no—
1738D4—41no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—221no—
1746D4—221no—
1747D4—221no—
1748D4—221no—
1749D4—221no—
1750D4—221no—
1751D4—221no—
1752D4—221no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—441no—
1760D4—441no—
1761D4—441no—
1762D4—441no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4—881no—
1771D4—881no—
1772D4—881no—
1773D4—881no—
1774D4—881no—
1775D4—881no—
1776D4—881no—
1777D4—881no—
1778D4—881no—
1779D4—881no—
1780D4—881no—
1781D4—881no—
1782D4—881no—
1783D4—881no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—111no—
1805C2×C4—111no—
1806C2×C4—111no—
1807C2×C4—111no—
1808C2×C4—111no—
1809C2×C4—111no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—221no—
1814C2×C4—221no—
1815C2×C4—221no—
1816C2×C4—221no—
1817C2×C4—221no—
1818C2×C4—441no—
1819C2×C4—441no—
1820C2×C4—442no—
1821C2×C4—442no—
1822C2×C4—442no—
1823C2×C4—442no—
1824C2×C4—442no—
1825C2×C4—441no—
1826C2×C4—881no—
1827C2×C4—881no—
1828C2×C4—881no—
1829C2×C4—881no—
1830C2×C4C2×D4×D1111yescharacteristic
1831C2×C4C2×D4×D1111yescharacteristic
1832C2×C4C2×D4×D1111yescharacteristic
1833C2×C4C24×D1111yescharacteristic
1834C8—21no—
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—221no—
1839C8—221no—
1840C8—221no—
1841C8—221no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—221no—
1858C22—221no—
1859C22—221no—
1860C22—221no—
1861C22—221no—
1862C22—221no—
1863C22—441no—
1864C22—441no—
1865C22—441no—
1866C22—441no—
1867C22—441no—
1868C22—441no—
1869C22—441no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—882no—
1876C22—884no—
1877C22—1762no—
1878C22—1762no—
1879C22C22×D4×D1111yescharacteristic
1880C4—22no—
1881C4—22no—
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—221no—
1890C4—221no—
1891C4—221no—
1892C4—221no—
1893C4—221no—
1894C4—221no—
1895C4—441no—
1896C4—441no—
1897C4—441no—
1898C4—441no—
1899C4C2×#6703711yescharacteristic
1900C4C2×#6703711yescharacteristic
1901C2—41no—
1902C2—41no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—441no—
1907C2—441no—
1908C2—881no—
1909C2—881no—
1910C2—881no—
1911C2—881no—
1912C2#1308224511yescharacteristic
1913C2#1308338611yescharacteristic
1914C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3013C2
socleC22×C11C23×D4
hypercenter#3013D11
hypocenterC11#61616
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3013

Complements

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

NH ≅ G/Ntype
1. #13082920C2semidirect
2. #13082271C2semidirect
3. #13080939C2semidirect
4. #13080888C2semidirect
5. #13080795C2semidirect
6. #13080746C2semidirect
7. #13080623C2semidirect
8. #13080603C2semidirect
9. #13080559C2semidirect
10. #13080514C2semidirect
11. #13080370C2semidirect
12. #13080316C2semidirect
13. #13080241C2semidirect
14. #13080229C2semidirect
15. #13080195C2semidirect
16. #13080159C2semidirect
17. #13080156C2semidirect
18. #13080104C2semidirect
19. #13079716C2semidirect
20. #13079664C2semidirect
21. #13079481C2semidirect
22. #13079462C2semidirect
23. #13079457C2semidirect
24. #13079379C2semidirect
25. #13078901C2semidirect
26. #13078846C2semidirect
27. #13077902C2semidirect
28. #13077867C2semidirect
29. #13077839C2semidirect
30. #13077659C2semidirect
31. C11×#3013C2semidirect
32. C2×C11×2−1+4C22semidirect
33. C22×#4343C22semidirect
34. C2×C11×#137C22semidirect
35. C2×C11×#135C22semidirect
40. #10623365C22semidirect
41. #10623365C22semidirect
42. #10623365C22semidirect
43. #10623365C22semidirect
47. #10623361C22semidirect
48. #10623361C22semidirect
49. #10623360C22semidirect
53. #10623359C22semidirect
54. C2×#67002C22semidirect
58. #10623348C22semidirect
59. #10623348C22semidirect
60. #10623348C22semidirect
61. #10623343C22semidirect
62. C22×#4325C22semidirect
63. C2×#66972C22semidirect
64. C2×#66972C22semidirect
69. #10623170C22semidirect
71. #10623161C22semidirect
75. #10623147C22semidirect
79. #10623140C22semidirect
83. #10623045C22semidirect
84. #10623038C22semidirect
85. C11×#452C22semidirect
86. C11×#452C22semidirect
87. C11×#451C22semidirect
88. C11×#451C22semidirect
89. C11×#449C22semidirect
90. C11×#449C22semidirect
91. C11×#448C22semidirect
92. C11×#448C22semidirect
93. C11×#417C22semidirect
94. C2×C11×#103C22semidirect
95. C11×#408C22semidirect
97. #10622851C22semidirect
98. #10622851C22semidirect
99. #10622851C22semidirect
100. #10622851C22semidirect
101. #10622851C22semidirect
102. #10622847C22semidirect
103. #10622846C22semidirect
105. #10622840C22semidirect
106. #10622840C22semidirect
107. #10622840C22semidirect
108. #10622838C22semidirect
109. #10622804C22semidirect
110. #10622802C22semidirect
111. #10622800C22semidirect
112. #10622800C22semidirect
113. #10622800C22semidirect
114. #10622798C22semidirect
115. #10622798C22semidirect
116. #10622798C22semidirect
117. #10622797C22semidirect
118. Q16×Dic11C22semidirect
119. #10622789C22semidirect
120. #10622789C22semidirect
121. #10622787C22semidirect
122. #10622785C22semidirect
123. #10622785C22semidirect
124. #10622785C22semidirect
125. #10622784C22semidirect
126. #10622782C22semidirect
127. #10622778C22semidirect
128. #10622777C22semidirect
129. #10622776C22semidirect
130. #10622776C22semidirect
131. #10622776C22semidirect
132. SD16×Dic11C22semidirect
133. #10622770C22semidirect
134. #10622769C22semidirect
135. #10622764C22semidirect
136. #10622763C22semidirect
137. #10622748C22semidirect
138. #10622748C22semidirect
139. #10622741C22semidirect
140. #10622740C22semidirect
141. #10622728C22semidirect
142. #10622728C22semidirect
143. #10622724C22semidirect
144. C8×C22⋊D11C22semidirect
145. #10622662C22semidirect
146. #10622661C22semidirect
147. #10622659C22semidirect
148. #10622658C22semidirect
149. #10622652C22semidirect
150. #10622651C22semidirect
151. #10622649C22semidirect
152. #10622648C22semidirect
153. #10622581C22semidirect
154. #10622580C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622430C22semidirect
158. #10622430C22semidirect
159. #10622427C22semidirect
160. #10622425C22semidirect
165. #10622422C22semidirect
166. #10622420C22semidirect
167. #10622417C22semidirect
168. #10622417C22semidirect
169. #10622416C22semidirect
170. #10622416C22semidirect
171. #10622413C22semidirect
172. #10622412C22semidirect
173. #10622409C22semidirect
174. #10622408C22semidirect
175. #10622407C22semidirect
176. #10622404C22semidirect
177. #10622401C22semidirect
178. #10622401C22semidirect
179. #10622399C22semidirect
180. #10622399C22semidirect
181. #10622395C22semidirect
182. #10622392C22semidirect
183. #10622390C22semidirect
184. #10622388C22semidirect
185. #10622377C22semidirect
186. #10622373C22semidirect
188. #10622350C22semidirect
189. #10622350C22semidirect
190. #10622350C22semidirect
192. #10622345C22semidirect
193. #10622345C22semidirect
194. #10622345C22semidirect
195. #10622343C22semidirect
196. #10622342C22semidirect
197. #10622341C22semidirect
198. #10622339C22semidirect
199. (C22⋊D11)⋊C8C22semidirect
200. D11×C22⋊C8C22semidirect
201. #10622333C22semidirect
202. #10622333C22semidirect
765. #3013D11semidirect
916. C2×2−1+4C2×D11semidirect
918. C2×#137C2×D11semidirect
924. C2×#135C2×D11semidirect
1024. #452C2×D11semidirect
1025. #452C2×D11semidirect
1026. #451C2×D11semidirect
1027. #451C2×D11semidirect
1043. #449C2×D11semidirect
1044. #449C2×D11semidirect
1049. #448C2×D11semidirect
1050. #448C2×D11semidirect
1078. #417C2×D11semidirect
1082. C2×#103C2×D11semidirect
1084. #408C2×D11semidirect
1695. C11#61616semidirect

Maximal subgroups

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

subgroupindex
#130829202
#130822712
#130809392
#130808882
#130807952
#130807462
#130806232
#130806032
#130805592
#130805142
#130803702
#130803162
#130802412
#130802292
#130801952
#130801592
#130801562
#130801042
#130797162
#130796642
#130794812
#130794622
#130794572
#130793792
#130789012
#130788462
#130779022
#130778672
#130778392
#130776592
C11×#30132
#6161611