Finite Group Databasebeta

← #15640541

Subgroups — #15640541

Order 2816.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083044C211yesmaximal, characteristic, complemented
2#13082407C211yesmaximal, characteristic, complemented
3#13080830C211yesmaximal, characteristic, complemented
4#13080826C211yesmaximal, characteristic, complemented
5#13080820C211yesmaximal, characteristic, complemented
6#13080816C211yesmaximal, characteristic, complemented
7#13080515C211yesmaximal, characteristic, complemented
8#13080514C211yesmaximal, characteristic, complemented
9#13080504C211yesmaximal, characteristic, complemented
10#13080330C211yesmaximal, characteristic, complemented
11#13080318C211yesmaximal, characteristic, complemented
12#13080303C211yesmaximal, characteristic, complemented
13#13080298C211yesmaximal, characteristic, complemented
14#13080273C211yesmaximal, characteristic, complemented
15#13080272C211yesmaximal, characteristic, complemented
16#13080248C211yesmaximal, characteristic, complemented
17#13080240C211yesmaximal, characteristic, complemented
18#13079585C211yesmaximal, characteristic, complemented
19#13079582C211yesmaximal, characteristic, complemented
20#13079506C211yesmaximal, characteristic, complemented
21#13079487C211yesmaximal, characteristic, complemented
22#13079475C211yesmaximal, characteristic, complemented
23#13079471C211yesmaximal, characteristic, complemented
24#13078641C211yesmaximal, characteristic, complemented
25#13078640C211yesmaximal, characteristic, complemented
26#13077936C211yesmaximal, characteristic, complemented
27#13077932C211yesmaximal, characteristic, complemented
28#13077890C211yesmaximal, characteristic, complemented
29#13077887C211yesmaximal, characteristic, complemented
30#13077679C211yesmaximal, characteristic, complemented
31C11×#3300C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#67040C2211yescharacteristic, complemented
34C11×#552C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623362C2211yescharacteristic
37C2×#67002C2211yescharacteristic
38#10623348C2211yescharacteristic, complemented
39C2×#66995C2211yescharacteristic, complemented
40C2×#66972C2211yescharacteristic, complemented
41C2×#66971C2211yescharacteristic, complemented
42C2×#66971C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66957C2211yescharacteristic, complemented
45C22×D88C2211yescharacteristic
46#10623236—21no—
47#10623235—21no—
48#10623230—21no—
49#10623229—21no—
50#10623226C2211yescharacteristic, complemented
51#10623222C2211yescharacteristic, complemented
52#10623207—21no—
53#10623207C2211yescharacteristic, complemented
54D11×#124—21no—
55D11×#124C2211yescharacteristic, complemented
56#10623197—21no—
57#10623188—21no—
58#10623164C2211yescharacteristic, complemented
59#10623161—21no—
60#10623161C2211yescharacteristic
61#10623161C2211yescharacteristic, complemented
62#10623160C2211yescharacteristic, complemented
63#10623159—21no—
64#10623159C2211yescharacteristic
65#10623159C2211yescharacteristic
66#10623143—21no—
67#10623143C2211yescharacteristic, complemented
68#10623138—21no—
69#10623138C2211yescharacteristic, complemented
70#10623111C2211yescharacteristic, complemented
71#10623107C2211yescharacteristic, complemented
72#10623107C2211yescharacteristic, complemented
73C4×#4343C2211yescharacteristic, complemented
74#10623081—21no—
75#10623081C2211yescharacteristic
76#10623081C2211yescharacteristic, complemented
77#10623079—21no—
78#10623079C2211yescharacteristic
79#10623066—21no—
80#10623063—21no—
81#10623060C2211yescharacteristic, complemented
82#10623056C2211yescharacteristic
83#10623045C2211yescharacteristic, complemented
84#10623041C2211yescharacteristic, complemented
85C11×#488C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#480C2211yescharacteristic, complemented
88C11×#479C2211yescharacteristic, complemented
89C11×#467C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic
93C11×#451C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96C11×#416C2211yescharacteristic
97C2×C11×#103C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic
99#10622840C2211yescharacteristic, complemented
100#10622804C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622799C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622798C2211yescharacteristic, complemented
105#10622785C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic, complemented
107#10622781C2211yescharacteristic, complemented
108#10622729C2211yescharacteristic, complemented
109#10622728C2211yescharacteristic, complemented
110#10622723C2211yescharacteristic
111#10622723C2211yescharacteristic, complemented
112C8×C22⋊D11C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622670C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622665C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic
123#10622659C2211yescharacteristic, complemented
124#10622652C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126#10622641C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128C4×#4325C2211yescharacteristic, complemented
129C4×#4325C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622614C2211yescharacteristic
132#10622609C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622501C2211yescharacteristic, complemented
137#10622501C2211yescharacteristic, complemented
138#10622499C2211yescharacteristic, complemented
139#10622499C2211yescharacteristic, complemented
140#10622498C2211yescharacteristic, complemented
141#10622496C2211yescharacteristic, complemented
142#10622485C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150#10622446C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622427C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622424C2211yescharacteristic
157#10622424C2211yescharacteristic
158#10622424C2211yescharacteristic
159#10622424C2211yescharacteristic
160#10622424C2211yescharacteristic, complemented
161#10622424C2211yescharacteristic, complemented
162#10622423C2211yescharacteristic, complemented
163#10622423C2211yescharacteristic, complemented
164#10622421C2211yescharacteristic, complemented
165#10622421C2211yescharacteristic, complemented
166#10622421C2211yescharacteristic, complemented
167#10622420C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622417C2211yescharacteristic, complemented
172#10622416C2211yescharacteristic, complemented
173D11×#103C2211yescharacteristic, complemented
174#10622413C2211yescharacteristic, complemented
175#10622411C2211yescharacteristic, complemented
176#10622409C2211yescharacteristic, complemented
177#10622403C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622395C2211yescharacteristic, complemented
181#10622391C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic, complemented
183#10622387C2211yescharacteristic, complemented
184#10622386C2211yescharacteristic
185#10622386C2211yescharacteristic
186#10622386C2211yescharacteristic
187#10622386C2211yescharacteristic
188#10622383C2211yescharacteristic, complemented
189#10622381C2211yescharacteristic, complemented
190#10622380C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic
194#10622344C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic
198#10622340C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#67042—42no—
206#67042—42no—
207#67040—42no—
208#67040—42no—
209C2×#4343—21no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×Q8×D11—21no—
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11C2311yescharacteristic
221C2×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44—21no—
230C22×D44C2311yescharacteristic
231C22×D44C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C22×C8×C11C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×#126—21no—
238C11×#125—21no—
239C11×#125C2311yescharacteristic
240C11×#124—21no—
241C11×#124C2311yescharacteristic
242C11×#123—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11—21no—
252C4×D4×C11C2311yescharacteristic
253C11×#117—21no—
254C11×#117C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#67002—42no—
257#67000—21no—
258#67000C2311yescharacteristic
259#67000C2311yescharacteristic
260#66999—21no—
261#66999C2311yescharacteristic
262#66999C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267#66995—42no—
268C2×#4325C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274#66993—21no—
275#66993D411yescharacteristic
276#66991—21no—
277#66991—21no—
278#66991D411yescharacteristic
279#66991C2311yescharacteristic
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66990—21no—
284#66989—21no—
285#66989C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4323C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289#66983—21no—
290#66983—21no—
291#66983—21no—
292#66983—21no—
293#66983C2311yescharacteristic
294#66983C2311yescharacteristic
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11C2311yescharacteristic
299C4×C22⋊D11C2311yescharacteristic
300#66977—21no—
301#66977C2311yescharacteristic
302#66977C2311yescharacteristic
303C2×#4318C2311yescharacteristic
304C2×#4318C2311yescharacteristic
305#66972—42no—
306#66971—42no—
307#66971—42no—
308SD16×D11—42no—
309C2×Dic44C2311yescharacteristic
310#66957—42no—
311C2×D88—42no—
312C2×D88C2311yescharacteristic
313C2×D88C2311yescharacteristic
314C2×D88C2311yescharacteristic
315C2×D88C2311yescharacteristic
316C2×#4314C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×#4314C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×#4313C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324#66951—21no—
325#66951—21no—
326#66951—21no—
327#66951—21no—
328#66950—21no—
329#66950—21no—
330#66950—21no—
331#66950C2311yescharacteristic
332#66950C2311yescharacteristic
333#66950C2311yescharacteristic
334#66949—21no—
335#66949—21no—
336#66948—21no—
337#66948—21no—
338#66948—21no—
339#66948—21no—
340#66948—21no—
341#66948—21no—
342#66948—21no—
343#66948D411yescharacteristic
344#66948C2311yescharacteristic
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66948C2311yescharacteristic
348#66948C2311yescharacteristic
349#66948C2311yescharacteristic
350#66947—21no—
351#66947—21no—
352#66947—21no—
353#66947—21no—
354#66947—21no—
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66946—21no—
361#66946—21no—
362#66946—21no—
363#66946—21no—
364#66946C2311yescharacteristic
365#66946C2311yescharacteristic
366#66945—21no—
367#66945—21no—
368#66945C2311yescharacteristic
369#66945C2311yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371#66943C2311yescharacteristic
372#66941—21no—
373#66941—21no—
374#66941D411yescharacteristic
375#66940C2311yescharacteristic
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938D411yescharacteristic
383#66938D411yescharacteristic
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937D411yescharacteristic
391#66937D411yescharacteristic
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66935—21no—
398#66935—21no—
399#66935—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11—21no—
411#66932—21no—
412#66928—21no—
413#66928—21no—
414#66928—21no—
415#66928C2311yescharacteristic
416#66928C2311yescharacteristic
417#66927—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44—21no—
421C4×D44—21no—
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426#66925—21no—
427C42×D11—21no—
428C42×D11C2311yescharacteristic
429#66923—21no—
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465#66882C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66872C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61663—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C11×#41—22no—
496C11×#41—41no—
497C2×Q8×C11—21no—
498C2×Q8×C11—22no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
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
521C2×C22⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525#4343—22no—
526#4343—22no—
527#4343—22no—
528#4343—22no—
529#4343—41no—
530#4343—41no—
531#4343—41no—
532#4343—41no—
533#4343—44no—
534Q8×D11—22no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—44no—
541D4×D11—22no—
542D4×D11—41no—
543D4×D11—41no—
544D4×D11—41no—
545D4×D11—44no—
546D4×D11—44no—
547#4339—22no—
548#4339—41no—
549#4339—41no—
550#4339—41no—
551#4339—41no—
552#4339—41no—
553#4339—41no—
554#4339—41no—
555#4339—44no—
556#4339—44no—
557#4339—44no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—22no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—41no—
572C2×D44—41no—
573C2×D44—41no—
574C2×D44—44no—
575C2×D44C2×D411yescharacteristic
576C2×D44C2×D411yescharacteristic
577C2×D44C2×D411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—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—21no—
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×C4×D11C2411yescharacteristic
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22—21no—
604C2×Dic22C2×D411yescharacteristic
605C2×Dic22C2×D411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C11×Q16—22no—
609C11×Q16—41no—
610C11×SD16—41no—
611C2×C8×C11—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⋊C4—21no—
637C11×C22⋊C4C2×D411yescharacteristic
638C11×C22⋊C4C2×D411yescharacteristic
639C42×C11—21no—
640C42×C11—21no—
641C42×C11—21no—
642C42×C11C2411yescharacteristic
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11C2×D411yescharacteristic
649C22⋊Dic11C2×D411yescharacteristic
650#4326—22no—
651#4326—41no—
652#4326—41no—
653#4325—22no—
654#4325—22no—
655#4325—22no—
656#4325—41no—
657#4325—41no—
658#4325—41no—
659#4324—41no—
660#4323—41no—
661#4323—41no—
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)⋊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⋊Dic11C2×D411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11C2×D411yescharacteristic
715C4×Dic11C2×D411yescharacteristic
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718#4318—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—41no—
724D88—22no—
725D88—22no—
726D88—41no—
727D88—41no—
728#4314—22no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733#4313—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3551—111no—
737#3500—111no—
738#3323—111no—
739#3323—111no—
740#3322—111no—
741#3322—111no—
742#3301—111no—
743#3301—111no—
744#3300—111no—
745#3300D1111yescharacteristic, complemented
746#3282—111no—
747#3282—111no—
748#3280—111no—
749#3280—111no—
750#3277—111no—
751#3277—111no—
752#3275—111no—
753#3275—111no—
754#3211—111no—
755#3211—111no—
756#3202—111no—
757#3200—111no—
758#3198—111no—
759#3198—111no—
760#3102—111no—
761#3102—111no—
762#3013—111no—
763#3013—111no—
764#3009—111no—
765#3008—111no—
766#2979—111no—
767C23×C11—21no—
768C23×C11C22×D411yescharacteristic
769C23×C11C22×D411yescharacteristic
770C22×D11—21no—
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—21no—
774C22×D11—42no—
775C22×D11—42no—
776C22×D11—42no—
777C22×D11—81no—
778C22×D11—81no—
779C22×D11—81no—
780C22×D11—81no—
781C22×D11—81no—
782C22×D11—81no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11C22×D411yescharacteristic
787C22×D11C22×D411yescharacteristic
788C22×D11C22×D411yescharacteristic
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—42no—
795Q8×C11H(5,𝔽2)12yes—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—41no—
799D4×C11—42no—
800D4×C11—81no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—42no—
813C2×C4×C11—42no—
814C2×C4×C11—81no—
815C2×C4×C11C22×D411yescharacteristic
816C2×C4×C11C22×D411yescharacteristic
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C2511yescharacteristic
820C22⋊D11—41no—
821C22⋊D11—41no—
822C22⋊D11—41no—
823C22⋊D11—41no—
824C22⋊D11—41no—
825C22⋊D11—41no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—81no—
830C22⋊D11—81no—
831C22⋊D11—81no—
832C22⋊D11—81no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840C2×Dic11C22×D411yescharacteristic
841C2×Dic11C22×D411yescharacteristic
842D44—24no—
843D44—21no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—21no—
848D44—21no—
849D44—21no—
850D44—41no—
851D44—41no—
852D44—41no—
853D44—42no—
854D44—42no—
855D44—42no—
856D44—81no—
857D44—81no—
858D44—81no—
859D44—81no—
860D44—81no—
861D44—81no—
862D44—81no—
863D44—81no—
864D44H(5,𝔽2)12yes—
865C4×D11—24no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—21no—
871C4×D11—21no—
872C4×D11—41no—
873C4×D11—41no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—81no—
880C4×D11—81no—
881C4×D11—81no—
882C4×D11—81no—
883C4×D11—81no—
884C4×D11—81no—
885C4×D11—81no—
886C4×D11—81no—
887Dic22—21no—
888Dic22—21no—
889Dic22—21no—
890Dic22—21no—
891Dic22—41no—
892Dic22—41no—
893Dic22—42no—
894Dic22—42no—
895Dic22—81no—
896C8×C11—21no—
897C8×C11—21no—
898C8×C11—21no—
899C8×C11—21no—
900C11⋊C8—21no—
901C11⋊C8—21no—
902C11⋊C8—21no—
903C11⋊C8—21no—
904C2×2−1+4—111no—
905C2×H(5,𝔽2)—111no—
906C2×#137—111no—
907C2×#137—111no—
908C2×#137—111no—
909C2×AGL(1,ℤ/8)—111no—
910C2×#135—111no—
911C2×#135—111no—
912C22×SD16—111no—
913C22×D8—111no—
914#563—221no—
915#560—221no—
916#555—221no—
917#553—111no—
918#553—111no—
919#552—111no—
920#552C2×D1111yescharacteristic, complemented
921#551—221no—
922#548—111no—
923#548—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548C2×D1111yescharacteristic
928#546—111no—
929#546—111no—
930#546—111no—
931#546—111no—
932#546—111no—
933#546—111no—
934#546—221no—
935#546—221no—
936#546—221no—
937#546—221no—
938#540—221no—
939#540—221no—
940#538—221no—
941#538—221no—
942#537—111no—
943#537—111no—
944#536—111no—
945#536—111no—
946#536—221no—
947#535—111no—
948#535—111no—
949#535—221no—
950#532—111no—
951#532—221no—
952#529—111no—
953#529—111no—
954C2×#124—111no—
955C2×#124—221no—
956C4×#41—111no—
957#495—111no—
958#495—111no—
959#495—111no—
960#495—111no—
961#488—111no—
962#488—111no—
963#488—111no—
964#488C2×D1111yescharacteristic, complemented
965#485—111no—
966#485—111no—
967#485—111no—
968#485—111no—
969#485—111no—
970#485C2×D1111yescharacteristic, complemented
971#482—111no—
972#482—111no—
973#481—111no—
974#481—111no—
975#480—111no—
976#480C2×D1111yescharacteristic, complemented
977#479—111no—
978#479C2×D1111yescharacteristic, complemented
979#478—111no—
980#478—111no—
981#470—111no—
982#470—111no—
983#469—111no—
984#469—111no—
985#468—111no—
986#468—111no—
987#468—111no—
988#468—111no—
989#467—111no—
990#467C2×D1111yescharacteristic, complemented
991#466—111no—
992#466—111no—
993#465—111no—
994#465—111no—
995#465—111no—
996#465C2×D1111yescharacteristic, complemented
997#464—111no—
998#464—111no—
999#464—111no—
1000#464—111no—
1001#464—111no—
1002#464C2×D1111yescharacteristic, complemented
1003#463—111no—
1004#463—111no—
1005#463—111no—
1006#463—111no—
1007#463—111no—
1008#463—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452C2×D1111yescharacteristic
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451C2×D1111yescharacteristic, complemented
1021#450—111no—
1022#450—111no—
1023#450—111no—
1024#450—111no—
1025#450—111no—
1026#450—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#448—111no—
1038#448—111no—
1039#448—111no—
1040#448—111no—
1041#447—111no—
1042#447—111no—
1043#447—111no—
1044#447—111no—
1045C4×Q16—111no—
1046C4×Q16C2×D1111yescharacteristic, complemented
1047C4×SD16—111no—
1048C4×SD16—111no—
1049C4×SD16—111no—
1050C4×SD16—111no—
1051C4×D8—111no—
1052C4×D8—111no—
1053#436—111no—
1054#436—111no—
1055#436—111no—
1056#436—111no—
1057C8×D4—111no—
1058C8×D4—111no—
1059C8×D4—111no—
1060C8×D4C2×D1111yescharacteristic, complemented
1061#431—111no—
1062#431—111no—
1063#418—111no—
1064#418—111no—
1065#417—111no—
1066#417—111no—
1067#416—111no—
1068#416C2×D1111yescharacteristic
1069C2×#103—111no—
1070C2×#103C2×D1111yescharacteristic, complemented
1071#408—111no—
1072#408—111no—
1073#408—111no—
1074#408—111no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11C23×D411yescharacteristic
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—22no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—162no—
1107C2×D11—162no—
1108C2×D11—162no—
1109C2×D11—162no—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—21no—
1113C4×C11—21no—
1114C4×C11—22no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11—41no—
1120C4×C11—41no—
1121C4×C11C2×H(5,𝔽2)11yescharacteristic
1122C4×C11C2×H(5,𝔽2)11yescharacteristic
1123Dic11—21no—
1124Dic11—21no—
1125Dic11—21no—
1126Dic11—21no—
1127Dic11—21no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
11322−1+4—442no—
11332−1+4—442no—
1134H(5,𝔽2)—442no—
1135H(5,𝔽2)—442no—
1136C2×#41—111no—
1137C2×#41—111no—
1138C2×#41—111no—
1139C2×#41—111no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—221no—
1145C2×#41—221no—
1146C2×#41—221no—
1147C2×#41—221no—
1148C2×#41C22×D1111yescharacteristic
1149C22×Q8—111no—
1150C22×Q8—111no—
1151C22×Q8—111no—
1152C22×Q8—221no—
1153C22×Q8C22×D1111yescharacteristic
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—111no—
1158C22×D4—221no—
1159C22×D4—221no—
1160C22×D4—221no—
1161#137—442no—
1162#137—442no—
1163#137—442no—
1164AGL(1,ℤ/8)—442no—
1165#135—442no—
1166#135—442no—
1167C2×Q16—111no—
1168C2×Q16—111no—
1169C2×Q16—111no—
1170C2×Q16—111no—
1171C2×Q16C22×D1111yescharacteristic
1172C2×Q16C22×D1111yescharacteristic
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—442no—
1185C2×SD16C22×D1111yescharacteristic
1186C2×D8—111no—
1187C2×D8—111no—
1188C2×D8—111no—
1189C2×D8—111no—
1190C2×D8—111no—
1191C2×D8—111no—
1192C2×D8—442no—
1193C2×M16—111no—
1194C2×M16—111no—
1195C2×M16—111no—
1196C2×M16—111no—
1197C22×C8—111no—
1198C22×C8—111no—
1199C22×C8C22×D1111yescharacteristic
1200C22×C8C22×D1111yescharacteristic
1201C4⋊Q8—111no—
1202C4⋊Q8—221no—
1203C4⋊Q8—221no—
1204#127—111no—
1205#127—221no—
1206#127—221no—
1207#126—21no—
1208#126—221no—
1209#126—221no—
1210#126—221no—
1211#126—221no—
1212#126—221no—
1213#125—21no—
1214#125—111no—
1215#125—221no—
1216#125C22×D1111yescharacteristic
1217#124—21no—
1218#124—111no—
1219#124—111no—
1220#124—111no—
1221#124—111no—
1222#124—111no—
1223#124—111no—
1224#124—111no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#124—221no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#124—221no—
1235#124—221no—
1236#124C22×D1111yescharacteristic
1237#123—21no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253C22⋊Q8—21no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8C22×D1111yescharacteristic
1269C22⋊Q8C22×D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271#121—21no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
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—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
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#121C22×D1111yescharacteristic
1305#120—221no—
1306#120—221no—
1307#120—221no—
1308#120—221no—
1309#120—221no—
1310#120—221no—
1311#120—221no—
1312#120—221no—
1313#120—221no—
1314#120—221no—
1315C4×Q8—111no—
1316C4×Q8—111no—
1317C4×Q8C22×D1111yescharacteristic
1318C4×Q8C22×D1111yescharacteristic
1319C4×D4—21no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—111no—
1323C4×D4—111no—
1324C4×D4—111no—
1325C4×D4—111no—
1326C4×D4—111no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4C22×D1111yescharacteristic
1339#117—21no—
1340#117—111no—
1341#117—111no—
1342#117—221no—
1343#117—221no—
1344#117—221no—
1345#117—221no—
1346#117C22×D1111yescharacteristic
1347C2×C4⋊C4—111no—
1348C2×C4⋊C4C22×D1111yescharacteristic
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352C2×C22⋊C4—221no—
1353C2×C22⋊C4—221no—
1354C2×C22⋊C4—221no—
1355C2×C22⋊C4—221no—
1356C2×C22⋊C4—221no—
1357C2×C42—111no—
1358C2×C42—221no—
1359#107—111no—
1360#107—111no—
1361#107C22×D1111yescharacteristic
1362#107C22×D1111yescharacteristic
1363#106—111no—
1364#106—111no—
1365#106—111no—
1366#106C22×D1111yescharacteristic
1367C4⋊C8—111no—
1368C4⋊C8—111no—
1369C4⋊C8—111no—
1370C4⋊C8C22×D1111yescharacteristic
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#103C22×D1111yescharacteristic
1383#103C22×D1111yescharacteristic
1384#103C22×D1111yescharacteristic
1385#103C22×D1111yescharacteristic
1386#103C22×D1111yescharacteristic
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#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102C22×D1111yescharacteristic
1401#102C22×D1111yescharacteristic
1402#102C22×D1111yescharacteristic
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408C22⋊C8—111no—
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8C22×D1111yescharacteristic
1414C22⋊C8C22×D1111yescharacteristic
1415C4×C8—111no—
1416C4×C8—111no—
1417C4×C8—111no—
1418C4×C8C22×D1111yescharacteristic
1419C2×C11—41no—
1420C2×C11—41no—
1421C2×C11—81no—
1422C2×C11#348411yescharacteristic
1423C2×C11#358411yescharacteristic
1424C2×C11#358411yescharacteristic
1425D11—41no—
1426D11—41no—
1427D11—41no—
1428D11—42no—
1429D11—81no—
1430D11—81no—
1431D11—81no—
1432C24—221no—
1433C24—221no—
1434C24—221no—
1435C24—221no—
1436#41—22no—
1437#41—41no—
1438#41—222no—
1439#41—222no—
1440#41—222no—
1441#41—222no—
1442#41—222no—
1443#41—441no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—441no—
1450#41—444no—
1451#41—444no—
1452#41—444no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458C2×Q8—21no—
1459C2×Q8—22no—
1460C2×Q8—41no—
1461C2×Q8—111no—
1462C2×Q8—111no—
1463C2×Q8—111no—
1464C2×Q8—111no—
1465C2×Q8—221no—
1466C2×Q8—221no—
1467C2×Q8—221no—
1468C2×Q8—222no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8—441no—
1472C2×Q8—444no—
1473C2×Q8—441no—
1474C2×Q8—441no—
1475C2×Q8C23×D1111yescharacteristic
1476C2×Q8C23×D1111yescharacteristic
1477C2×Q8C23×D1111yescharacteristic
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—222no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—222no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—441no—
1515C2×D4—441no—
1516C2×D4—441no—
1517C2×D4—444no—
1518C2×D4—441no—
1519C2×D4—441no—
1520C2×D4—441no—
1521C2×D4—444no—
1522C2×D4—444no—
1523C2×D4D4×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—111no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—221no—
1537C22×C4—221no—
1538C22×C4—221no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4C23×D1111yescharacteristic
1548C22×C4C23×D1111yescharacteristic
1549Q16—22no—
1550Q16—41no—
1551Q16—222no—
1552Q16—441no—
1553Q16—441no—
1554Q16—441no—
1555SD16—41no—
1556SD16—222no—
1557SD16—222no—
1558SD16—222no—
1559SD16—222no—
1560SD16—441no—
1561SD16—441no—
1562SD16—441no—
1563SD16—441no—
1564SD16—441no—
1565SD16—441no—
1566SD16—441no—
1567D8—222no—
1568D8—222no—
1569D8—441no—
1570D8—441no—
1571D8—441no—
1572D8—441no—
1573M16—441no—
1574M16—441no—
1575M16—441no—
1576M16—441no—
1577C2×C8—41no—
1578C2×C8—41no—
1579C2×C8—111no—
1580C2×C8—111no—
1581C2×C8—111no—
1582C2×C8—111no—
1583C2×C8—441no—
1584C2×C8—441no—
1585C2×C8C23×D1111yescharacteristic
1586C2×C8C23×D1111yescharacteristic
1587C2×C8C23×D1111yescharacteristic
1588C2×C8C23×D1111yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—111no—
1598C4⋊C4—111no—
1599C4⋊C4—111no—
1600C4⋊C4—111no—
1601C4⋊C4—111no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4D4×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C4⋊C4C23×D1111yescharacteristic
1617C4⋊C4C23×D1111yescharacteristic
1618C4⋊C4C23×D1111yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—111no—
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⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4D4×D1111yescharacteristic
1665C22⋊C4D4×D1111yescharacteristic
1666C42—21no—
1667C42—21no—
1668C42—21no—
1669C42—111no—
1670C42—111no—
1671C42—111no—
1672C42—221no—
1673C42—221no—
1674C42—221no—
1675C42—221no—
1676C42C23×D1111yescharacteristic
1677C11#6166311yescharacteristic, complemented, Sylow
1678C23—21no—
1679C23—111no—
1680C23—111no—
1681C23—111no—
1682C23—221no—
1683C23—221no—
1684C23—221no—
1685C23—221no—
1686C23—442no—
1687C23—442no—
1688C23—442no—
1689C23—881no—
1690C23—881no—
1691C23—881no—
1692C23—881no—
1693C23—881no—
1694C23—881no—
1695C23—881no—
1696C23—881no—
1697C23—881no—
1698C23C2×D4×D1111yescharacteristic
1699C23C2×D4×D1111yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—42no—
1706Q8—221no—
1707Q8—221no—
1708Q8—221no—
1709Q8—221no—
1710Q8—441no—
1711Q8—441no—
1712Q8—442no—
1713Q8—442no—
1714Q8—881no—
1715Q8#6704212yes—
1716D4—21no—
1717D4—21no—
1718D4—41no—
1719D4—42no—
1720D4—81no—
1721D4—112no—
1722D4—224no—
1723D4—221no—
1724D4—221no—
1725D4—221no—
1726D4—221no—
1727D4—221no—
1728D4—221no—
1729D4—221no—
1730D4—441no—
1731D4—441no—
1732D4—441no—
1733D4—442no—
1734D4—442no—
1735D4—442no—
1736D4—441no—
1737D4—441no—
1738D4—441no—
1739D4—441no—
1740D4—441no—
1741D4—441no—
1742D4—442no—
1743D4—442no—
1744D4—442no—
1745D4—881no—
1746D4—881no—
1747D4—881no—
1748D4—881no—
1749D4—881no—
1750D4—881no—
1751D4—881no—
1752D4—881no—
1753D4—881no—
1754D4—881no—
1755D4—881no—
1756D4—881no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—81no—
1771C2×C4—111no—
1772C2×C4—111no—
1773C2×C4—111no—
1774C2×C4—111no—
1775C2×C4—111no—
1776C2×C4—224no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—441no—
1788C2×C4—441no—
1789C2×C4—442no—
1790C2×C4—442no—
1791C2×C4—442no—
1792C2×C4—442no—
1793C2×C4—442no—
1794C2×C4—881no—
1795C2×C4—881no—
1796C2×C4—881no—
1797C2×C4—881no—
1798C2×C4—881no—
1799C2×C4—881no—
1800C2×C4—881no—
1801C2×C4—881no—
1802C2×C4C2×D4×D1111yescharacteristic
1803C2×C4C2×D4×D1111yescharacteristic
1804C2×C4C2×D4×D1111yescharacteristic
1805C2×C4C2×D4×D1111yescharacteristic
1806C2×C4C24×D1111yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—221no—
1812C8—221no—
1813C8—221no—
1814C8—221no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—222no—
1825C22—221no—
1826C22—221no—
1827C22—221no—
1828C22—221no—
1829C22—221no—
1830C22—221no—
1831C22—221no—
1832C22—221no—
1833C22—221no—
1834C22—441no—
1835C22—441no—
1836C22—441no—
1837C22—441no—
1838C22—441no—
1839C22—441no—
1840C22—441no—
1841C22—441no—
1842C22—441no—
1843C22—441no—
1844C22—441no—
1845C22—1762no—
1846C22—1762no—
1847C22—1762no—
1848C22—1762no—
1849C22C22×D4×D1111yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—22no—
1853C4—21no—
1854C4—21no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—221no—
1862C4—221no—
1863C4—221no—
1864C4—221no—
1865C4—221no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4—441no—
1870C4C2×#6704211yescharacteristic
1871C4D11×H(5,𝔽2)11yescharacteristic
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—441no—
1876C2—441no—
1877C2—441no—
1878C2—442no—
1879C2—881no—
1880C2—881no—
1881C2—881no—
1882C2#1308224611yescharacteristic
1883C2#1308338511yescharacteristic
1884C2#1308338611yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3300C2
socleC22×C11C23×D4
hypercenter#3300D11
hypocenterC11#61663
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3300

Complements

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

NH ≅ G/Ntype
1. #13083044C2semidirect
2. #13082407C2semidirect
3. #13080830C2semidirect
4. #13080826C2semidirect
5. #13080820C2semidirect
6. #13080816C2semidirect
7. #13080515C2semidirect
8. #13080514C2semidirect
9. #13080504C2semidirect
10. #13080330C2semidirect
11. #13080318C2semidirect
12. #13080303C2semidirect
13. #13080298C2semidirect
14. #13080273C2semidirect
15. #13080272C2semidirect
16. #13080248C2semidirect
17. #13080240C2semidirect
18. #13079585C2semidirect
19. #13079582C2semidirect
20. #13079506C2semidirect
21. #13079487C2semidirect
22. #13079475C2semidirect
23. #13079471C2semidirect
24. #13078641C2semidirect
25. #13078640C2semidirect
26. #13077936C2semidirect
27. #13077932C2semidirect
28. #13077890C2semidirect
29. #13077887C2semidirect
30. #13077679C2semidirect
31. C11×#3300C2semidirect
33. C2×#67040C22semidirect
34. C11×#552C22semidirect
38. #10623348C22semidirect
39. C2×#66995C22semidirect
40. C2×#66972C22semidirect
41. C2×#66971C22semidirect
42. C2×#66971C22semidirect
43. C2×SD16×D11C22semidirect
44. C2×#66957C22semidirect
50. #10623226C22semidirect
51. #10623222C22semidirect
53. #10623207C22semidirect
55. D11×#124C22semidirect
58. #10623164C22semidirect
61. #10623161C22semidirect
62. #10623160C22semidirect
67. #10623143C22semidirect
69. #10623138C22semidirect
70. #10623111C22semidirect
71. #10623107C22semidirect
72. #10623107C22semidirect
73. C4×#4343C22semidirect
76. #10623081C22semidirect
81. #10623060C22semidirect
83. #10623045C22semidirect
84. #10623041C22semidirect
85. C11×#488C22semidirect
86. C11×#485C22semidirect
87. C11×#480C22semidirect
88. C11×#479C22semidirect
89. C11×#467C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
93. C11×#451C22semidirect
94. C4×C11×Q16C22semidirect
95. C8×D4×C11C22semidirect
97. C2×C11×#103C22semidirect
99. #10622840C22semidirect
100. #10622804C22semidirect
101. #10622800C22semidirect
102. #10622799C22semidirect
103. #10622799C22semidirect
104. #10622798C22semidirect
105. #10622785C22semidirect
106. #10622782C22semidirect
107. #10622781C22semidirect
108. #10622729C22semidirect
109. #10622728C22semidirect
111. #10622723C22semidirect
112. C8×C22⋊D11C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622681C22semidirect
115. #10622679C22semidirect
116. #10622672C22semidirect
117. #10622670C22semidirect
118. #10622665C22semidirect
119. #10622665C22semidirect
120. #10622662C22semidirect
121. #10622660C22semidirect
123. #10622659C22semidirect
124. #10622652C22semidirect
125. #10622650C22semidirect
126. #10622641C22semidirect
127. #10622641C22semidirect
128. C4×#4325C22semidirect
129. C4×#4325C22semidirect
130. #10622625C22semidirect
132. #10622609C22semidirect
133. #10622581C22semidirect
134. #10622579C22semidirect
135. #10622504C22semidirect
136. #10622501C22semidirect
137. #10622501C22semidirect
138. #10622499C22semidirect
139. #10622499C22semidirect
140. #10622498C22semidirect
141. #10622496C22semidirect
142. #10622485C22semidirect
143. #10622479C22semidirect
144. #10622477C22semidirect
145. #10622476C22semidirect
146. #10622465C22semidirect
147. #10622457C22semidirect
148. #10622457C22semidirect
149. #10622447C22semidirect
150. #10622446C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622427C22semidirect
154. #10622427C22semidirect
155. #10622425C22semidirect
160. #10622424C22semidirect
161. #10622424C22semidirect
162. #10622423C22semidirect
163. #10622423C22semidirect
164. #10622421C22semidirect
165. #10622421C22semidirect
166. #10622421C22semidirect
167. #10622420C22semidirect
168. #10622419C22semidirect
169. #10622419C22semidirect
170. #10622419C22semidirect
171. #10622417C22semidirect
172. #10622416C22semidirect
173. D11×#103C22semidirect
174. #10622413C22semidirect
175. #10622411C22semidirect
176. #10622409C22semidirect
177. #10622403C22semidirect
178. #10622401C22semidirect
179. #10622400C22semidirect
180. #10622395C22semidirect
181. #10622391C22semidirect
182. #10622389C22semidirect
183. #10622387C22semidirect
188. #10622383C22semidirect
189. #10622381C22semidirect
190. #10622380C22semidirect
191. #10622347C22semidirect
192. #10622347C22semidirect
194. #10622344C22semidirect
195. #10622342C22semidirect
196. #10622342C22semidirect
198. #10622340C22semidirect
199. #10622309C22semidirect
200. C4×D88C22semidirect
201. #10622301C22semidirect
202. #10622298C22semidirect
745. #3300D11semidirect
920. #552C2×D11semidirect
964. #488C2×D11semidirect
970. #485C2×D11semidirect
976. #480C2×D11semidirect
978. #479C2×D11semidirect
990. #467C2×D11semidirect
996. #465C2×D11semidirect
1002. #464C2×D11semidirect
1020. #451C2×D11semidirect
1046. C4×Q16C2×D11semidirect
1060. C8×D4C2×D11semidirect
1070. C2×#103C2×D11semidirect
1677. C11#61663semidirect

Maximal subgroups

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

subgroupindex
#130830442
#130824072
#130808302
#130808262
#130808202
#130808162
#130805152
#130805142
#130805042
#130803302
#130803182
#130803032
#130802982
#130802732
#130802722
#130802482
#130802402
#130795852
#130795822
#130795062
#130794872
#130794752
#130794712
#130786412
#130786402
#130779362
#130779322
#130778902
#130778872
#130776792
C11×#33002
#6166311