Finite Group Databasebeta

← #15630928

Subgroups — #15630928

Order 2816.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#553C211yesmaximal, characteristic, complemented
2D4×#4343C211yesmaximal, characteristic, complemented
3#13080873C211yesmaximal, characteristic, complemented
4#13080865C211yesmaximal, characteristic, complemented
5#13080823C211yesmaximal, characteristic, complemented
6#13080815C211yesmaximal, characteristic, complemented
7#13080787C211yesmaximal, characteristic, complemented
8#13080759C211yesmaximal, characteristic, complemented
9#13080751C211yesmaximal, characteristic, complemented
10#13080627C211yesmaximal, characteristic, complemented
11#13080619C211yesmaximal, characteristic, complemented
12#13080599C211yesmaximal, characteristic, complemented
13#13080591C211yesmaximal, characteristic, complemented
14#13080522C211yesmaximal, characteristic, complemented
15#13080514C211yesmaximal, characteristic, complemented
16#13080472C211yesmaximal, characteristic, complemented
17#13080464C211yesmaximal, characteristic, complemented
18#13079018C211yesmaximal, characteristic, complemented
19#13078548C211yesmaximal, characteristic, complemented
20#13078543C211yesmaximal, characteristic, complemented
21#13078435C211yesmaximal, characteristic, complemented
22#13078230C211yesmaximal, characteristic, complemented
23#13078228C211yesmaximal, characteristic, complemented
24#13078081C211yesmaximal, characteristic, complemented
25#13077867C211yesmaximal, characteristic, complemented
26#13077867C211yesmaximal, characteristic, complemented
27#13077421C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29#13077134C211yesmaximal, characteristic, complemented
30C2×#10622416C211yesmaximal, characteristic, complemented
31C11×#3320C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C22×#4343C2211yescharacteristic
34C11×#553C2211yescharacteristic
35D4×Q8×C11C2211yescharacteristic, complemented
36#10623348C2211yescharacteristic, complemented
37#10623348C2211yescharacteristic, complemented
38C2×#66967C2211yescharacteristic
39C2×#66967C2211yescharacteristic, complemented
40C2×#66967C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C22×#4313C2211yescharacteristic, complemented
43#10623257—21no—
44#10623257C2211yescharacteristic, complemented
45#10623256—21no—
46#10623256C2211yescharacteristic
47#10623240—21no—
48D11×#126—21no—
49#10623226C2211yescharacteristic, complemented
50D11×#125C2211yescharacteristic, complemented
51#10623192—21no—
52D11×#123—21no—
53#10623161—21no—
54#10623161—21no—
55#10623161C2211yescharacteristic, complemented
56#10623161C2211yescharacteristic, complemented
57#10623158—21no—
58#10623158—21no—
59#10623158C2211yescharacteristic
60#10623158C2211yescharacteristic
61#10623149C2211yescharacteristic, complemented
62#10623145C2211yescharacteristic, complemented
63D11×#121—21no—
64D11×#121C2211yescharacteristic, complemented
65D11×#121C2211yescharacteristic, complemented
66#10623132—21no—
67#10623108C2211yescharacteristic, complemented
68C4×#4343C2211yescharacteristic
69#10623096C2211yescharacteristic
70#10623089C2211yescharacteristic, complemented
71D4×D44—21no—
72D4×D44C2211yescharacteristic, complemented
73C4×D4×D11—21no—
74C4×D4×D11—21no—
75C4×D4×D11C2211yescharacteristic
76C4×D4×D11C2211yescharacteristic, complemented
77#10623071—21no—
78#10623061C2211yescharacteristic, complemented
79D11×#117C2211yescharacteristic, complemented
80#10623045C2211yescharacteristic, complemented
81C2×C4⋊C4×D11C2211yescharacteristic, complemented
82C11×#491C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#484C2211yescharacteristic, complemented
85C11×#479C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#461C2211yescharacteristic, complemented
89C11×#448C2211yescharacteristic, complemented
90C11×#448C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#419C2211yescharacteristic, complemented
94C2×C11×#103C2211yescharacteristic, complemented
95#10622840C2211yescharacteristic, complemented
96#10622840C2211yescharacteristic, complemented
97#10622838C2211yescharacteristic, complemented
98C2×#66899C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622785C2211yescharacteristic, complemented
102#10622785C2211yescharacteristic, complemented
103#10622785C2211yescharacteristic, complemented
104#10622784C2211yescharacteristic, complemented
105#10622778C2211yescharacteristic, complemented
106#10622778C2211yescharacteristic, complemented
107SD16×Dic11C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622744C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic, complemented
112C2×#66885C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622696C2211yescharacteristic, complemented
115#10622695C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic, complemented
117#10622679C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622661C2211yescharacteristic, complemented
120#10622658C2211yescharacteristic, complemented
121#10622657C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622649C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622639C2211yescharacteristic, complemented
127#10622635C2211yescharacteristic, complemented
128#10622628C2211yescharacteristic, complemented
129#10622627C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622614C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622496C2211yescharacteristic, complemented
138#10622495C2211yescharacteristic, complemented
139#10622495C2211yescharacteristic, complemented
140#10622494C2211yescharacteristic, complemented
141#10622494C2211yescharacteristic, complemented
142#10622485C2211yescharacteristic, complemented
143#10622484C2211yescharacteristic, complemented
144#10622479C2211yescharacteristic, complemented
145#10622478C2211yescharacteristic, complemented
146#10622474C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic, complemented
149#10622450C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622428C2211yescharacteristic, complemented
154#10622427C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622424C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622420C2211yescharacteristic, complemented
161#10622418C2211yescharacteristic, complemented
162#10622418C2211yescharacteristic, complemented
163#10622417C2211yescharacteristic, complemented
164#10622417C2211yescharacteristic, complemented
165#10622417C2211yescharacteristic, complemented
166#10622417C2211yescharacteristic, complemented
167#10622416C2211yescharacteristic
168#10622416C2211yescharacteristic
169#10622416C2211yescharacteristic
170#10622416C2211yescharacteristic, complemented
171#10622416C2211yescharacteristic, complemented
172#10622416C2211yescharacteristic, complemented
173#10622416C2211yescharacteristic, complemented
174#10622416C2211yescharacteristic, complemented
175#10622416C2211yescharacteristic, complemented
176#10622416C2211yescharacteristic, complemented
177#10622416C2211yescharacteristic, complemented
178#10622416C2211yescharacteristic, complemented
179#10622416C2211yescharacteristic, complemented
180#10622413C2211yescharacteristic, complemented
181#10622413C2211yescharacteristic, complemented
182#10622413C2211yescharacteristic, complemented
183#10622413C2211yescharacteristic, complemented
184#10622412C2211yescharacteristic, complemented
185#10622409C2211yescharacteristic, complemented
186#10622401C2211yescharacteristic, complemented
187#10622395C2211yescharacteristic, complemented
188#10622388C2211yescharacteristic, complemented
189#10622383C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622348C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622326C2211yescharacteristic, complemented
200#10622324C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C2×#4343—21no—
206C2×#4343—21no—
207C2×#4343—21no—
208C2×#4343—21no—
209C2×#4343—24no—
210C2×#4343—24no—
211C2×#4343—42no—
212C2×#4343—42no—
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×#4343C2311yescharacteristic
217C2×#4343C2311yescharacteristic
218C2×#4343C2311yescharacteristic
219C2×#4343C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11D411yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C22×D44—21no—
226C22×D44—21no—
227C22×D44C2311yescharacteristic
228C22×D44C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×C4⋊Q8—21no—
241C11×C4⋊Q8C2311yescharacteristic
242C11×#126—21no—
243C11×#125C2311yescharacteristic
244C11×#123—21no—
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8—21no—
247C11×C22⋊Q8C2311yescharacteristic
248C11×C22⋊Q8C2311yescharacteristic
249C11×#121—21no—
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C4×D4×C11C2311yescharacteristic
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259#67000—21no—
260#67000—21no—
261#67000C2311yescharacteristic
262#67000C2311yescharacteristic
263#66999—21no—
264#66999—21no—
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267Q8×Dic11C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66991—21no—
276#66991C2311yescharacteristic
277#66991C2311yescharacteristic
278#66988—21no—
279D4×Dic11—21no—
280D4×Dic11D411yescharacteristic
281D4×Dic11C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283C2×#4323C2311yescharacteristic
284C2×#4323C2311yescharacteristic
285#66983—21no—
286#66983—21no—
287#66983—21no—
288#66983C2311yescharacteristic
289#66983C2311yescharacteristic
290#66983C2311yescharacteristic
291#66983C2311yescharacteristic
292#66982—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11C2311yescharacteristic
299C4×C22⋊D11C2311yescharacteristic
300#66979C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×Dic11⋊C4—21no—
303C2×#4318C2311yescharacteristic
304C22×C11⋊C8C2311yescharacteristic
305#66967—24no—
306#66967—42no—
307#66967—42no—
308M16×D11—42no—
309C2×D88C2311yescharacteristic
310C2×D88C2311yescharacteristic
311C2×D88C2311yescharacteristic
312C2×#4313—42no—
313C2×#4313C2311yescharacteristic
314C2×#4313C2311yescharacteristic
315C2×#4313C2311yescharacteristic
316C2×#4313C2311yescharacteristic
317C2×#4313C2311yescharacteristic
318C2×#4313C2311yescharacteristic
319C2×C8×D11C2311yescharacteristic
320C2×C8×D11C2311yescharacteristic
321#66951—21no—
322#66951—21no—
323#66951—21no—
324#66948—21no—
325#66948—21no—
326#66948—21no—
327#66948—21no—
328#66948—21no—
329#66948—21no—
330#66948—21no—
331#66948—21no—
332#66948—21no—
333#66948C2311yescharacteristic
334#66948C2311yescharacteristic
335#66948C2311yescharacteristic
336#66948C2311yescharacteristic
337#66947—21no—
338#66947—21no—
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66947—21no—
344#66947—21no—
345#66946—21no—
346#66946—21no—
347#66946—21no—
348#66946—21no—
349#66946—21no—
350#66946—21no—
351#66946D411yescharacteristic
352#66946C2311yescharacteristic
353#66946C2311yescharacteristic
354#66945—21no—
355#66945C2311yescharacteristic
356#66945C2311yescharacteristic
357#66945C2311yescharacteristic
358C4⋊C4×D11—21no—
359C4⋊C4×D11—21no—
360C4⋊C4×D11—21no—
361C4⋊C4×D11—21no—
362C4⋊C4×D11—21no—
363C4⋊C4×D11D411yescharacteristic
364C4⋊C4×D11C2311yescharacteristic
365C4⋊C4×D11C2311yescharacteristic
366C4⋊C4×D11C2311yescharacteristic
367C4⋊C4×D11C2311yescharacteristic
368C4⋊C4×D11C2311yescharacteristic
369#66943C2311yescharacteristic
370#66943C2311yescharacteristic
371#66942—21no—
372#66942—21no—
373#66939—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66936—21no—
379#66936—21no—
380#66935—21no—
381#66935—21no—
382#66935—21no—
383#66935—21no—
384#66935—21no—
385#66935—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4D411yescharacteristic
392(C22⋊D11)⋊C4D411yescharacteristic
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11D411yescharacteristic
400C22⋊C4×D11D411yescharacteristic
401#66932—21no—
402#66932—21no—
403#66932—21no—
404#66930—21no—
405#66929—21no—
406#66927—21no—
407#66927C2311yescharacteristic
408C4×D44—21no—
409C4×D44—21no—
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414#66925—21no—
415C42×D11—21no—
416C42×D11—21no—
417C42×D11C2311yescharacteristic
418#66923C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66882C2311yescharacteristic
463#66881C2311yescharacteristic
464#66881C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61164—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11C2×D411yescharacteristic
492C23×D11C2×D411yescharacteristic
493C2×Q8×C11—21no—
494C2×Q8×C11—21no—
495C2×Q8×C11—22no—
496C2×Q8×C11—22no—
497C2×Q8×C11—41no—
498C2×Q8×C11—41no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11C2×D411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2411yescharacteristic
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11C2×D411yescharacteristic
524C22×Dic11C2×D411yescharacteristic
525#4343—22no—
526#4343—22no—
527#4343—22no—
528#4343—22no—
529#4343—22no—
530#4343—22no—
531#4343—22no—
532#4343—22no—
533#4343—22no—
534#4343—41no—
535#4343—41no—
536#4343—41no—
537#4343—41no—
538#4343—44no—
539#4343—44no—
540#4343—44no—
541#4343—44no—
542#4343#4114yes—
543D4×D11—22no—
544D4×D11—22no—
545D4×D11—42no—
546D4×D11—44no—
547D4×D11—44no—
548D4×D11—82no—
549C2×D44—21no—
550C2×D44—21no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44—21no—
555C2×D44—21no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—22no—
561C2×D44—22no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—41no—
567C2×D44—41no—
568C2×D44—44no—
569C2×D44—44no—
570C2×D44C2×D411yescharacteristic
571C2×D44C2411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×D44C2411yescharacteristic
574C2×D44C2411yescharacteristic
575C2×C4×D11—21no—
576C2×C4×D11—22no—
577C2×C4×D11—22no—
578C2×C4×D11—22no—
579C2×C4×D11—22no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—44no—
596C2×C4×D11—44no—
597C2×C4×D11—82no—
598C2×C4×D11—82no—
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2×D411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C11×SD16—22no—
609C11×SD16—41no—
610C11×SD16—41no—
611C11×M16—41no—
612C2×C8×C11—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4C2×D411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4C2×D411yescharacteristic
637C11×C22⋊C4C2×D411yescharacteristic
638C42×C11—21no—
639C42×C11—21no—
640C42×C11C2411yescharacteristic
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11C2×D411yescharacteristic
646C22⋊Dic11C2×D411yescharacteristic
647#4325—22no—
648#4325—41no—
649#4325—41no—
650#4323—22no—
651#4323—41no—
652#4323—41no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4C2×D411yescharacteristic
675(C2×D11)⋊C4C2×D411yescharacteristic
676(C2×D11)⋊C4C2×D411yescharacteristic
677(C2×D11)⋊C4C2×D411yescharacteristic
678C4⋊Dic11—21no—
679C4⋊Dic11—21no—
680C4⋊Dic11—21no—
681C4⋊Dic11—21no—
682C4⋊Dic11C2×D411yescharacteristic
683C4⋊Dic11C2411yescharacteristic
684C4⋊Dic11C2411yescharacteristic
685C4⋊Dic11C2411yescharacteristic
686C4⋊Dic11C2411yescharacteristic
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4C2×D411yescharacteristic
699Dic11⋊C4C2×D411yescharacteristic
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709C2×C11⋊C8—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714D88—22no—
715D88—41no—
716D88—41no—
717#4313—22no—
718#4313—22no—
719#4313—22no—
720#4313—22no—
721#4313—41no—
722#4313—41no—
723C8×D11—41no—
724C8×D11—41no—
725C2×#553—111no—
726D4×#41—111no—
727#3326—111no—
728#3326—111no—
729#3322—111no—
730#3322—111no—
731#3320—111no—
732#3320D1111yescharacteristic, complemented
733#3318—111no—
734#3318—111no—
735#3309—111no—
736#3309—111no—
737#3307—111no—
738#3307—111no—
739#3301—111no—
740#3301—111no—
741#3297—111no—
742#3297—111no—
743#3142—111no—
744#3093—111no—
745#3092—111no—
746#3080—111no—
747#3055—111no—
748#3055—111no—
749#3036—111no—
750#3006—111no—
751#3006—111no—
752C4×AGL(1,ℤ/8)—111no—
753D4×M16—111no—
754#2896—111no—
755C2×#417—111no—
756C23×C11—21no—
757C23×C11C22×D411yescharacteristic
758C23×C11C22×D411yescharacteristic
759C22×D11—22no—
760C22×D11—21no—
761C22×D11—22no—
762C22×D11—22no—
763C22×D11—21no—
764C22×D11—21no—
765C22×D11—21no—
766C22×D11—41no—
767C22×D11—41no—
768C22×D11—41no—
769C22×D11—42no—
770C22×D11—42no—
771C22×D11—42no—
772C22×D11—42no—
773C22×D11—42no—
774C22×D11—42no—
775C22×D11—42no—
776C22×D11—81no—
777C22×D11—81no—
778C22×D11C22×D411yescharacteristic
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781Q8×C11—21no—
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—42no—
787Q8×C11—42no—
788Q8×C11C2×#4112yes—
789D4×C11—22no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—42no—
793D4×C11—81no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—42no—
806C2×C4×C11—42no—
807C2×C4×C11—81no—
808C2×C4×C11—81no—
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C2511yescharacteristic
814C22⋊D11—22no—
815C22⋊D11—41no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—81no—
822C22⋊D11—81no—
823C2×Dic11—22no—
824C2×Dic11—22no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—81no—
830C2×Dic11—81no—
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836D44—24no—
837D44—21no—
838D44—21no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—21no—
843D44—21no—
844D44—41no—
845D44—42no—
846D44—42no—
847D44—42no—
848D44—42no—
849D44—42no—
850D44—42no—
851D44—42no—
852D44—42no—
853D44—42no—
854D44—42no—
855D44—81no—
856D44—81no—
857D44—81no—
858D44—81no—
859D44C2×#4112yes—
860C4×D11—22no—
861C4×D11—22no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—22no—
867C4×D11—22no—
868C4×D11—24no—
869C4×D11—41no—
870C4×D11—41no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—42no—
880C4×D11—42no—
881C4×D11—81no—
882C4×D11—81no—
883C4×D11—81no—
884C4×D11—81no—
885C4×D11—81no—
886C4×D11C2×#4112yes—
887C4×D11H(5,𝔽2)12yes—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C22×#41—111no—
897C22×#41—111no—
898C2×AGL(1,ℤ/8)—111no—
899C2×AGL(1,ℤ/8)—111no—
900C2×AGL(1,ℤ/8)—111no—
901C22×M16—111no—
902C22×M16—111no—
903#553—111no—
904#553—111no—
905#553—111no—
906#553—111no—
907#553—111no—
908#553—111no—
909#553—111no—
910#553—221no—
911#553—221no—
912#553—221no—
913#553—221no—
914#553C2×D1111yescharacteristic
915#550—111no—
916D4×Q8C2×D1111yescharacteristic, complemented
917#548—111no—
918#548—111no—
919#547—111no—
920#547—221no—
921#546—111no—
922#546—111no—
923#546—221no—
924#546—221no—
925D42—111no—
926D42—221no—
927#532—111no—
928#532—221no—
929C2×#126—221no—
930C2×#125—111no—
931#525—111no—
932#525—111no—
933#525—221no—
934#525—221no—
935C2×#123—221no—
936C2×#121—111no—
937C2×#121—111no—
938C2×#121—221no—
939C4×#41—111no—
940C2×C4×D4—111no—
941C2×C4×D4—111no—
942C2×C4×D4—221no—
943C2×C4×D4—221no—
944C2×#117—111no—
945C22×C4⋊C4—111no—
946#491—111no—
947#491C2×D1111yescharacteristic, complemented
948#490—111no—
949#490—111no—
950#488—111no—
951#488—111no—
952#488—111no—
953#488—111no—
954#485—111no—
955#485—111no—
956#485—111no—
957#485C2×D1111yescharacteristic, complemented
958#484—111no—
959#484C2×D1111yescharacteristic, complemented
960#483—111no—
961#483—111no—
962#482—111no—
963#482—111no—
964#482—111no—
965#482—111no—
966#481—111no—
967#481—111no—
968#480—111no—
969#480—111no—
970#479—111no—
971#479—111no—
972#479—111no—
973#479C2×D1111yescharacteristic, complemented
974#478—111no—
975#478—111no—
976#478—111no—
977#478—111no—
978#469—111no—
979#469—111no—
980#469—111no—
981#469—111no—
982#468—111no—
983#468—111no—
984#468—111no—
985#468C2×D1111yescharacteristic, complemented
986#466—111no—
987#466—111no—
988#466—111no—
989#466—111no—
990#465—111no—
991#465—111no—
992#465—111no—
993#465C2×D1111yescharacteristic, complemented
994#463—111no—
995#463—111no—
996#463—111no—
997#463—111no—
998#461—111no—
999#461C2×D1111yescharacteristic, complemented
1000#459—111no—
1001#459—111no—
1002#449—111no—
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449—111no—
1007#449—111no—
1008#449—111no—
1009#449—111no—
1010#448—111no—
1011#448—111no—
1012#448C2×D1111yescharacteristic, complemented
1013#448C2×D1111yescharacteristic, complemented
1014#447—111no—
1015#447—111no—
1016#447—111no—
1017#447—111no—
1018#442—111no—
1019#442—111no—
1020#440—111no—
1021#440C2×D1111yescharacteristic, complemented
1022C4×SD16—111no—
1023C4×SD16—111no—
1024C4×D8—111no—
1025C4×D8—111no—
1026#436—111no—
1027#436—111no—
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#435C2×D1111yescharacteristic, complemented
1032C8×D4—111no—
1033C8×D4—111no—
1034#428—111no—
1035#428—111no—
1036#428—111no—
1037#423—111no—
1038#419—111no—
1039#419C2×D1111yescharacteristic, complemented
1040#418—111no—
1041#418—111no—
1042#418—111no—
1043#417—111no—
1044#417—111no—
1045#417—111no—
1046#417—111no—
1047#417—111no—
1048#417—111no—
1049#417—111no—
1050#417—111no—
1051#417—111no—
1052#417—111no—
1053#417—111no—
1054#417—111no—
1055#417—111no—
1056#416—111no—
1057#416—111no—
1058#416—111no—
1059#416—111no—
1060C2×#103—111no—
1061C2×#103C2×D1111yescharacteristic, complemented
1062C2×#102—111no—
1063C2×#102—111no—
1064#407—111no—
1065#407—111no—
1066C4×M16—111no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11#57512yes—
1076C22×C11C23×D411yescharacteristic
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—21no—
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—22no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—44no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C2×D11—84no—
1101C2×D11—84no—
1102C2×D11#54612yes—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—22no—
1107C4×C11—21no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11—41no—
1114C4×C11C22×#4111yescharacteristic
1115C4×C11C2×H(5,𝔽2)11yescharacteristic
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—21no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11#54612yes—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—221no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—224no—
1137C2×#41—224no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C22×Q8C22×D1111yescharacteristic
1141C22×Q8C22×D1111yescharacteristic
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—221no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C23×C4—111no—
1152C23×C4—111no—
1153C23×C4—221no—
1154C23×C4—221no—
1155C23×C4—221no—
1156C23×C4—221no—
1157AGL(1,ℤ/8)—224no—
1158AGL(1,ℤ/8)—442no—
1159AGL(1,ℤ/8)—442no—
1160C2×SD16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16C22×D1111yescharacteristic
1164C2×SD16C22×D1111yescharacteristic
1165C2×SD16C22×D1111yescharacteristic
1166C2×D8—111no—
1167C2×D8—111no—
1168C2×D8—111no—
1169C2×D8—111no—
1170C2×D8—111no—
1171C2×D8—111no—
1172C2×M16—111no—
1173C2×M16—111no—
1174C2×M16—111no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—111no—
1179C2×M16—442no—
1180C2×M16—442no—
1181C2×M16C22×D1111yescharacteristic
1182C22×C8—111no—
1183C22×C8—111no—
1184C22×C8—111no—
1185C22×C8C22×D1111yescharacteristic
1186C4⋊Q8—21no—
1187C4⋊Q8C22×D1111yescharacteristic
1188#127—111no—
1189#127—221no—
1190#126—21no—
1191#126—221no—
1192#126—221no—
1193#126—221no—
1194#126—221no—
1195#126—221no—
1196#126—221no—
1197#126—221no—
1198#125—111no—
1199#125—111no—
1200#125—111no—
1201#125—221no—
1202#125—221no—
1203#125C22×D1111yescharacteristic
1204#124—111no—
1205#124—111no—
1206#124—221no—
1207#124—221no—
1208#123—21no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—111no—
1225C22⋊Q8—111no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8C22×D1111yescharacteristic
1229C22⋊Q8C22×D1111yescharacteristic
1230#121—21no—
1231#121—111no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121C22×D1111yescharacteristic
1263#121C22×D1111yescharacteristic
1264#120—221no—
1265#120—221no—
1266#120—221no—
1267#120—221no—
1268#120—221no—
1269#120—221no—
1270C4×Q8—111no—
1271C4×Q8C22×D1111yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4—221no—
1306C4×D4C22×D1111yescharacteristic
1307C4×D4C22×D1111yescharacteristic
1308#117—111no—
1309#117—111no—
1310#117—111no—
1311#117—111no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4—221no—
1327C2×C4⋊C4—221no—
1328C2×C4⋊C4—221no—
1329C2×C4⋊C4C22×D1111yescharacteristic
1330C2×C22⋊C4—111no—
1331C2×C22⋊C4—111no—
1332C2×C22⋊C4—221no—
1333C2×C22⋊C4—221no—
1334C2×C22⋊C4—221no—
1335C2×C22⋊C4—221no—
1336C2×C22⋊C4—221no—
1337C2×C22⋊C4—221no—
1338C2×C42—111no—
1339C2×C42—221no—
1340C2×C42—221no—
1341#107—111no—
1342#107—111no—
1343#107—111no—
1344#107—111no—
1345#107C22×D1111yescharacteristic
1346#107C22×D1111yescharacteristic
1347#106—111no—
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106—111no—
1352#106C22×D1111yescharacteristic
1353C4⋊C8—111no—
1354C4⋊C8—111no—
1355C4⋊C8—111no—
1356C4⋊C8C22×D1111yescharacteristic
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103C22×D1111yescharacteristic
1367#103C22×D1111yescharacteristic
1368#103C22×D1111yescharacteristic
1369#103C22×D1111yescharacteristic
1370#103C22×D1111yescharacteristic
1371#103C22×D1111yescharacteristic
1372#103C22×D1111yescharacteristic
1373#103C22×D1111yescharacteristic
1374#103C22×D1111yescharacteristic
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102C22×D1111yescharacteristic
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8C22×D1111yescharacteristic
1404C22⋊C8C22×D1111yescharacteristic
1405#97—111no—
1406#97C22×D1111yescharacteristic
1407C4×C8—111no—
1408C4×C8—111no—
1409C2×C11—22no—
1410C2×C11—41no—
1411C2×C11—81no—
1412C2×C11C2×#54611yescharacteristic
1413C2×C11C2×#57511yescharacteristic
1414C2×C11#358511yescharacteristic
1415D11—22no—
1416D11—41no—
1417D11—41no—
1418D11—42no—
1419D11—81no—
1420D11—81no—
1421D11—81no—
1422C24—111no—
1423C24—111no—
1424C24—221no—
1425C24—221no—
1426C24—221no—
1427#41—114no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—444no—
1438#41—444no—
1439#41—441no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—444no—
1444#41—444no—
1445C2×Q8—21no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—22no—
1449C2×Q8—41no—
1450C2×Q8—41no—
1451C2×Q8C23×D1111yescharacteristic
1452C2×Q8C23×D1111yescharacteristic
1453C2×Q8C23×D1111yescharacteristic
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—111no—
1457C2×D4—111no—
1458C2×D4—111no—
1459C2×D4—111no—
1460C2×D4—111no—
1461C2×D4—111no—
1462C2×D4—111no—
1463C2×D4—222no—
1464C2×D4—222no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—222no—
1477C2×D4—222no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—441no—
1490C2×D4—441no—
1491C2×D4—444no—
1492C2×D4—444no—
1493C2×D4—442no—
1494C2×D4—444no—
1495C2×D4—444no—
1496C2×D4—882no—
1497C2×D4D4×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—221no—
1515C22×C4—222no—
1516C22×C4—222no—
1517C22×C4—222no—
1518C22×C4—222no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—444no—
1537C22×C4—444no—
1538C22×C4—882no—
1539C22×C4—882no—
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542SD16—22no—
1543SD16—41no—
1544SD16—41no—
1545SD16—222no—
1546SD16—441no—
1547SD16—441no—
1548D8—222no—
1549D8—222no—
1550D8—441no—
1551D8—441no—
1552D8—441no—
1553D8—441no—
1554M16—41no—
1555M16—222no—
1556M16—222no—
1557M16—222no—
1558M16—222no—
1559M16—441no—
1560M16—441no—
1561M16—441no—
1562C2×C8—41no—
1563C2×C8—111no—
1564C2×C8—111no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—441no—
1568C2×C8—441no—
1569C2×C8—441no—
1570C2×C8C23×D1111yescharacteristic
1571C2×C8C23×D1111yescharacteristic
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4D4×D1111yescharacteristic
1605C4⋊C4C23×D1111yescharacteristic
1606C4⋊C4C23×D1111yescharacteristic
1607C4⋊C4C23×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—111no—
1616C22⋊C4—111no—
1617C22⋊C4—111no—
1618C22⋊C4—111no—
1619C22⋊C4—111no—
1620C22⋊C4—111no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4D4×D1111yescharacteristic
1647C22⋊C4D4×D1111yescharacteristic
1648C42—21no—
1649C42—21no—
1650C42—111no—
1651C42—111no—
1652C42—111no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42—221no—
1658C42C23×D1111yescharacteristic
1659C11#6116411yescharacteristic, complemented, Sylow
1660C23—21no—
1661C23—111no—
1662C23—111no—
1663C23—111no—
1664C23—222no—
1665C23—222no—
1666C23—222no—
1667C23—221no—
1668C23—221no—
1669C23—221no—
1670C23—221no—
1671C23—441no—
1672C23—441no—
1673C23—441no—
1674C23—442no—
1675C23—442no—
1676C23—442no—
1677C23—442no—
1678C23—442no—
1679C23—442no—
1680C23—442no—
1681C23—881no—
1682C23—881no—
1683C23C2×D4×D1111yescharacteristic
1684C23C2×D4×D1111yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—42no—
1691Q8—42no—
1692Q8#41×D1112yes—
1693D4—22no—
1694D4—21no—
1695D4—21no—
1696D4—42no—
1697D4—81no—
1698D4—112no—
1699D4—224no—
1700D4—222no—
1701D4—221no—
1702D4—221no—
1703D4—221no—
1704D4—221no—
1705D4—221no—
1706D4—221no—
1707D4—221no—
1708D4—441no—
1709D4—442no—
1710D4—442no—
1711D4—442no—
1712D4—442no—
1713D4—442no—
1714D4—442no—
1715D4—442no—
1716D4—442no—
1717D4—442no—
1718D4—442no—
1719D4—442no—
1720D4—441no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—881no—
1726D4—881no—
1727D4—881no—
1728D4—881no—
1729D4—881no—
1730D4—881no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—81no—
1745C2×C4—81no—
1746C2×C4—111no—
1747C2×C4—112no—
1748C2×C4—112no—
1749C2×C4—111no—
1750C2×C4—111no—
1751C2×C4—111no—
1752C2×C4—111no—
1753C2×C4—222no—
1754C2×C4—222no—
1755C2×C4—224no—
1756C2×C4—222no—
1757C2×C4—222no—
1758C2×C4—222no—
1759C2×C4—222no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—441no—
1769C2×C4—441no—
1770C2×C4—442no—
1771C2×C4—442no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—112no—
1809C22—221no—
1810C22—221no—
1811C22—221no—
1812C22—221no—
1813C22—221no—
1814C22—221no—
1815C22—222no—
1816C22—221no—
1817C22—221no—
1818C22—444no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—441no—
1829C22—441no—
1830C22—884no—
1831C22—882no—
1832C22—884no—
1833C22—884no—
1834C22#1062330812yes—
1835C22C22×D4×D1111yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—22no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—112no—
1848C4—221no—
1849C4—221no—
1850C4—221no—
1851C4—221no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C4C2×#41×D1111yescharacteristic
1857C4D11×H(5,𝔽2)11yescharacteristic
1858C2—22no—
1859C2—41no—
1860C2—81no—
1861C2—222no—
1862C2—441no—
1863C2—441no—
1864C2—442no—
1865C2—881no—
1866C2—881no—
1867C2—881no—
1868C2D11×#54611yescharacteristic
1869C2C2×#1062330811yescharacteristic
1870C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3320C2
socleC22×C11C23×D4
hypercenter#3320D11
hypocenterC11#61164
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. D11×#553C2semidirect
2. D4×#4343C2semidirect
3. #13080873C2semidirect
4. #13080865C2semidirect
5. #13080823C2semidirect
6. #13080815C2semidirect
7. #13080787C2semidirect
8. #13080759C2semidirect
9. #13080751C2semidirect
10. #13080627C2semidirect
11. #13080619C2semidirect
12. #13080599C2semidirect
13. #13080591C2semidirect
14. #13080522C2semidirect
15. #13080514C2semidirect
16. #13080472C2semidirect
17. #13080464C2semidirect
18. #13079018C2semidirect
19. #13078548C2semidirect
20. #13078543C2semidirect
21. #13078435C2semidirect
22. #13078230C2semidirect
23. #13078228C2semidirect
24. #13078081C2semidirect
25. #13077867C2semidirect
26. #13077867C2semidirect
27. #13077421C2semidirect
28. #13077349C2semidirect
29. #13077134C2semidirect
30. C2×#10622416C2semidirect
31. C11×#3320C2semidirect
35. D4×Q8×C11C22semidirect
36. #10623348C22semidirect
37. #10623348C22semidirect
39. C2×#66967C22semidirect
40. C2×#66967C22semidirect
41. C2×M16×D11C22semidirect
42. C22×#4313C22semidirect
44. #10623257C22semidirect
49. #10623226C22semidirect
50. D11×#125C22semidirect
55. #10623161C22semidirect
56. #10623161C22semidirect
61. #10623149C22semidirect
62. #10623145C22semidirect
64. D11×#121C22semidirect
65. D11×#121C22semidirect
67. #10623108C22semidirect
70. #10623089C22semidirect
72. D4×D44C22semidirect
76. C4×D4×D11C22semidirect
78. #10623061C22semidirect
79. D11×#117C22semidirect
80. #10623045C22semidirect
81. C2×C4⋊C4×D11C22semidirect
82. C11×#491C22semidirect
83. C11×#485C22semidirect
84. C11×#484C22semidirect
85. C11×#479C22semidirect
86. C11×#468C22semidirect
87. C11×#465C22semidirect
88. C11×#461C22semidirect
89. C11×#448C22semidirect
90. C11×#448C22semidirect
91. C11×#440C22semidirect
92. C11×#435C22semidirect
93. C11×#419C22semidirect
94. C2×C11×#103C22semidirect
95. #10622840C22semidirect
96. #10622840C22semidirect
97. #10622838C22semidirect
98. C2×#66899C22semidirect
99. #10622787C22semidirect
100. #10622785C22semidirect
101. #10622785C22semidirect
102. #10622785C22semidirect
103. #10622785C22semidirect
104. #10622784C22semidirect
105. #10622778C22semidirect
106. #10622778C22semidirect
107. SD16×Dic11C22semidirect
108. #10622748C22semidirect
109. #10622744C22semidirect
110. #10622741C22semidirect
111. #10622728C22semidirect
112. C2×#66885C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622696C22semidirect
115. #10622695C22semidirect
116. #10622680C22semidirect
117. #10622679C22semidirect
118. #10622662C22semidirect
119. #10622661C22semidirect
120. #10622658C22semidirect
121. #10622657C22semidirect
122. #10622652C22semidirect
123. #10622651C22semidirect
124. #10622649C22semidirect
125. #10622649C22semidirect
126. #10622639C22semidirect
127. #10622635C22semidirect
128. #10622628C22semidirect
129. #10622627C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622614C22semidirect
133. #10622581C22semidirect
134. C2×#66873C22semidirect
135. #10622504C22semidirect
136. #10622498C22semidirect
137. #10622496C22semidirect
138. #10622495C22semidirect
139. #10622495C22semidirect
140. #10622494C22semidirect
141. #10622494C22semidirect
142. #10622485C22semidirect
143. #10622484C22semidirect
144. #10622479C22semidirect
145. #10622478C22semidirect
146. #10622474C22semidirect
147. #10622460C22semidirect
148. #10622456C22semidirect
149. #10622450C22semidirect
150. #10622449C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622428C22semidirect
154. #10622427C22semidirect
155. #10622425C22semidirect
156. #10622424C22semidirect
157. #10622424C22semidirect
158. #10622424C22semidirect
159. #10622424C22semidirect
160. #10622420C22semidirect
161. #10622418C22semidirect
162. #10622418C22semidirect
163. #10622417C22semidirect
164. #10622417C22semidirect
165. #10622417C22semidirect
166. #10622417C22semidirect
170. #10622416C22semidirect
171. #10622416C22semidirect
172. #10622416C22semidirect
173. #10622416C22semidirect
174. #10622416C22semidirect
175. #10622416C22semidirect
176. #10622416C22semidirect
177. #10622416C22semidirect
178. #10622416C22semidirect
179. #10622416C22semidirect
180. #10622413C22semidirect
181. #10622413C22semidirect
182. #10622413C22semidirect
183. #10622413C22semidirect
184. #10622412C22semidirect
185. #10622409C22semidirect
186. #10622401C22semidirect
187. #10622395C22semidirect
188. #10622388C22semidirect
189. #10622383C22semidirect
190. #10622369C22semidirect
191. #10622350C22semidirect
192. #10622348C22semidirect
193. #10622345C22semidirect
194. #10622345C22semidirect
195. #10622342C22semidirect
196. #10622339C22semidirect
197. #10622339C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622326C22semidirect
200. #10622324C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
732. #3320D11semidirect
916. D4×Q8C2×D11semidirect
947. #491C2×D11semidirect
957. #485C2×D11semidirect
959. #484C2×D11semidirect
973. #479C2×D11semidirect
985. #468C2×D11semidirect
993. #465C2×D11semidirect
999. #461C2×D11semidirect
1012. #448C2×D11semidirect
1013. #448C2×D11semidirect
1021. #440C2×D11semidirect
1031. #435C2×D11semidirect
1039. #419C2×D11semidirect
1061. C2×#103C2×D11semidirect
1659. C11#61164semidirect

Maximal subgroups

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

subgroupindex
D11×#5532
D4×#43432
#130808732
#130808652
#130808232
#130808152
#130807872
#130807592
#130807512
#130806272
#130806192
#130805992
#130805912
#130805222
#130805142
#130804722
#130804642
#130790182
#130785482
#130785432
#130784352
#130782302
#130782282
#130780812
#130778672
#130774212
#130773492
#130771342
C2×#106224162
C11×#33202
#6116411