Finite Group Databasebeta

← #15629346

Subgroups — #15629346

Order 2816.

2682 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623310C211yesmaximal, characteristic, complemented
2C2×#10623308C211yesmaximal, characteristic, complemented
3#13082293C211yesmaximal, characteristic, complemented
4#13082290C211yesmaximal, characteristic, complemented
5#13080261C211yesmaximal, characteristic, complemented
6#13080259C211yesmaximal, characteristic, complemented
7#13080256C211yesmaximal, characteristic, complemented
8#13080252C211yesmaximal, characteristic, complemented
9#13080249C211yesmaximal, characteristic, complemented
10#13080244C211yesmaximal, characteristic, complemented
11#13080241C211yesmaximal, characteristic, complemented
12#13080192C211yesmaximal, characteristic, complemented
13#13080190C211yesmaximal, characteristic, complemented
14#13080189C211yesmaximal, characteristic, complemented
15#13080187C211yesmaximal, characteristic, complemented
16#13080147C211yesmaximal, characteristic, complemented
17#13080145C211yesmaximal, characteristic, complemented
18#13080144C211yesmaximal, characteristic, complemented
19#13080142C211yesmaximal, characteristic, complemented
20#13079104C211yesmaximal, characteristic, complemented
21#13078280C211yesmaximal, characteristic, complemented
22D11×#470C211yesmaximal, characteristic, complemented
23#13078163C211yesmaximal, characteristic, complemented
24#13078161C211yesmaximal, characteristic, complemented
25#13077935C211yesmaximal, characteristic, complemented
26#13077932C211yesmaximal, characteristic, complemented
27#13077875C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077494C211yesmaximal, characteristic, complemented
30#13077316C211yesmaximal, characteristic, complemented
31C11×#3276C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic, complemented
33C2×#41×D11C2211yescharacteristic
34C2×#67040C2211yescharacteristic, complemented
35C22×#4343C2211yescharacteristic
36C2×C11×#137C2211yescharacteristic
37C2×C11×#137C2211yescharacteristic, complemented
38D4×Q8×C11C2211yescharacteristic, complemented
39C11×#547C2211yescharacteristic
40#10623360C2211yescharacteristic, complemented
41#10623355C2211yescharacteristic
42C2×#67003C2211yescharacteristic, complemented
43C2×#67002C2211yescharacteristic
44#10623348C2211yescharacteristic
45Q8×C22⋊D11C2211yescharacteristic, complemented
46C22×#4326C2211yescharacteristic, complemented
47C2×#66995C2211yescharacteristic
48#10623310—28no—
49#10623308—28no—
50C2×#66972C2211yescharacteristic
51C2×#66972C2211yescharacteristic
52C2×#66971C2211yescharacteristic
53C2×#66971C2211yescharacteristic
54C2×#66971C2211yescharacteristic, complemented
55C2×#66971C2211yescharacteristic, complemented
56C2×#66971C2211yescharacteristic, complemented
57C2×#66971C2211yescharacteristic, complemented
58C2×Q16×D11C2211yescharacteristic, complemented
59C2×Q16×D11C2211yescharacteristic, complemented
60C2×#66969C2211yescharacteristic
61C2×#66969C2211yescharacteristic
62C2×#66969C2211yescharacteristic, complemented
63C2×#66968C2211yescharacteristic, complemented
64C2×#66968C2211yescharacteristic, complemented
65C2×#66967C2211yescharacteristic
66C2×#66967C2211yescharacteristic
67C2×#66962C2211yescharacteristic, complemented
68C2×#66961C2211yescharacteristic
69C2×#66960C2211yescharacteristic, complemented
70C2×M16×D11C2211yescharacteristic
71#10623258C2211yescharacteristic, complemented
72#10623257—21no—
73#10623257C2211yescharacteristic
74#10623255—21no—
75#10623255C2211yescharacteristic, complemented
76#10623255C2211yescharacteristic, complemented
77#10623187—21no—
78#10623186—21no—
79#10623185—21no—
80#10623179—21no—
81#10623164C2211yescharacteristic
82#10623163C2211yescharacteristic, complemented
83#10623162—21no—
84#10623162C2211yescharacteristic
85#10623161—21no—
86#10623161C2211yescharacteristic, complemented
87#10623160—21no—
88#10623160C2211yescharacteristic, complemented
89#10623160C2211yescharacteristic, complemented
90D11×C22⋊Q8—21no—
91D11×C22⋊Q8C2211yescharacteristic
92D11×C22⋊Q8C2211yescharacteristic
93#10623141—21no—
94#10623128—21no—
95#10623107C2211yescharacteristic
96#10623105C2211yescharacteristic, complemented
97#10623085C2211yescharacteristic, complemented
98#10623083C2211yescharacteristic
99#10623081—21no—
100#10623081C2211yescharacteristic, complemented
101#10623078—21no—
102#10623078C2211yescharacteristic
103#10623077C2211yescharacteristic, complemented
104C2×#66949—21no—
105#10623038—21no—
106C11×#494C2211yescharacteristic, complemented
107C11×#470C2211yescharacteristic, complemented
108C11×#470C2211yescharacteristic, complemented
109C11×#462C2211yescharacteristic, complemented
110C11×#461C2211yescharacteristic, complemented
111C11×#452C2211yescharacteristic
112C11×#452C2211yescharacteristic, complemented
113C11×#451C2211yescharacteristic, complemented
114C11×#451C2211yescharacteristic, complemented
115C4×C11×SD16C2211yescharacteristic, complemented
116C11×#436C2211yescharacteristic, complemented
117#10622852C2211yescharacteristic
118#10622851C2211yescharacteristic, complemented
119#10622841C2211yescharacteristic, complemented
120#10622840C2211yescharacteristic, complemented
121#10622804C2211yescharacteristic, complemented
122#10622803C2211yescharacteristic, complemented
123#10622803C2211yescharacteristic, complemented
124#10622802C2211yescharacteristic, complemented
125#10622802C2211yescharacteristic, complemented
126#10622800C2211yescharacteristic
127#10622800C2211yescharacteristic
128#10622800C2211yescharacteristic, complemented
129#10622799C2211yescharacteristic, complemented
130#10622799C2211yescharacteristic, complemented
131#10622799C2211yescharacteristic, complemented
132#10622798C2211yescharacteristic, complemented
133#10622795C2211yescharacteristic, complemented
134#10622794C2211yescharacteristic, complemented
135#10622786C2211yescharacteristic, complemented
136#10622782C2211yescharacteristic, complemented
137#10622778C2211yescharacteristic, complemented
138#10622775C2211yescharacteristic, complemented
139SD16×Dic11C2211yescharacteristic, complemented
140#10622750C2211yescharacteristic, complemented
141#10622748C2211yescharacteristic, complemented
142#10622741C2211yescharacteristic, complemented
143#10622741C2211yescharacteristic, complemented
144#10622703C2211yescharacteristic, complemented
145#10622699C2211yescharacteristic, complemented
146#10622699C2211yescharacteristic, complemented
147#10622696C2211yescharacteristic, complemented
148#10622665C2211yescharacteristic, complemented
149#10622665C2211yescharacteristic, complemented
150#10622663C2211yescharacteristic, complemented
151#10622661C2211yescharacteristic, complemented
152#10622661C2211yescharacteristic, complemented
153#10622660C2211yescharacteristic
154#10622660C2211yescharacteristic, complemented
155#10622659C2211yescharacteristic, complemented
156#10622643C2211yescharacteristic, complemented
157#10622641C2211yescharacteristic, complemented
158#10622629C2211yescharacteristic, complemented
159#10622627C2211yescharacteristic, complemented
160#10622624C2211yescharacteristic, complemented
161#10622481C2211yescharacteristic, complemented
162#10622478C2211yescharacteristic, complemented
163D11×#106C2211yescharacteristic, complemented
164#10622465C2211yescharacteristic, complemented
165#10622458C2211yescharacteristic, complemented
166#10622457C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622449C2211yescharacteristic, complemented
169#10622432C2211yescharacteristic, complemented
170#10622431C2211yescharacteristic, complemented
171#10622429C2211yescharacteristic, complemented
172#10622429C2211yescharacteristic, complemented
173#10622424C2211yescharacteristic, complemented
174#10622423C2211yescharacteristic
175#10622423C2211yescharacteristic
176#10622421C2211yescharacteristic, complemented
177#10622420C2211yescharacteristic, complemented
178#10622420C2211yescharacteristic, complemented
179#10622419C2211yescharacteristic, complemented
180#10622419C2211yescharacteristic, complemented
181#10622416C2211yescharacteristic, complemented
182#10622416C2211yescharacteristic, complemented
183#10622416C2211yescharacteristic, complemented
184D11×#103C2211yescharacteristic, complemented
185D11×#103C2211yescharacteristic, complemented
186#10622411C2211yescharacteristic, complemented
187#10622406C2211yescharacteristic, complemented
188#10622402C2211yescharacteristic, complemented
189#10622398C2211yescharacteristic, complemented
190#10622394C2211yescharacteristic, complemented
191#10622389C2211yescharacteristic, complemented
192#10622384C2211yescharacteristic, complemented
193#10622351C2211yescharacteristic, complemented
194#10622347C2211yescharacteristic, complemented
195#10622346C2211yescharacteristic
196#10622344C2211yescharacteristic, complemented
197#10622343C2211yescharacteristic, complemented
198#10622341C2211yescharacteristic, complemented
199#10622340C2211yescharacteristic, complemented
200#10622339C2211yescharacteristic
201#10622309C2211yescharacteristic, complemented
202C4×#4314C2211yescharacteristic, complemented
203#10622302C2211yescharacteristic, complemented
204#10622301C2211yescharacteristic, complemented
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209#67043—24no—
210#67043—42no—
211#41×D11—24no—
212#41×D11—42no—
213#67040—24no—
214#67040—42no—
215C2×#4343—21no—
216C2×#4343—21no—
217C2×#4343—21no—
218C2×#4343—24no—
219C2×#4343—42no—
220C2×#4343C2311yescharacteristic
221C2×#4343C2311yescharacteristic
222C2×#4343C2311yescharacteristic
223C2×#4343C2311yescharacteristic
224C2×#4343C2311yescharacteristic
225C2×#4343C2311yescharacteristic
226C2×Q8×D11—21no—
227C2×Q8×D11C2311yescharacteristic
228C2×Q8×D11C2311yescharacteristic
229C2×Q8×D11C2311yescharacteristic
230C2×Q8×D11C2311yescharacteristic
231C2×Q8×D11C2311yescharacteristic
232C2×#4341—21no—
233C2×#4341—21no—
234C2×#4341—21no—
235C2×#4341C2311yescharacteristic
236C2×#4341C2311yescharacteristic
237C2×D4×D11—21no—
238C2×D4×D11C2311yescharacteristic
239C2×#4339—21no—
240C2×#4339—21no—
241C2×#4339—21no—
242C2×#4339—21no—
243C2×#4339C2311yescharacteristic
244C2×#4339C2311yescharacteristic
245C2×#4339C2311yescharacteristic
246C22×D44—21no—
247C22×D44C2311yescharacteristic
248C22×C4×D11—21no—
249C22×C4×D11—21no—
250C22×C4×D11C2311yescharacteristic
251C22×Dic22—21no—
252C22×Dic22C2311yescharacteristic
253C11×#137—24no—
254C11×#137—24no—
255C2×C11×Q16C2311yescharacteristic
256C2×C11×Q16C2311yescharacteristic
257C2×C11×Q16C2311yescharacteristic
258C2×C11×Q16C2311yescharacteristic
259C2×C11×Q16C2311yescharacteristic
260C2×C11×Q16C2311yescharacteristic
261C2×C11×SD16C2311yescharacteristic
262C2×C11×SD16C2311yescharacteristic
263C2×C11×SD16C2311yescharacteristic
264C2×C11×M16C2311yescharacteristic
265C2×C11×M16C2311yescharacteristic
266C11×C4⋊Q8—21no—
267C11×C4⋊Q8C2311yescharacteristic
268C11×C4⋊Q8C2311yescharacteristic
269C11×#123—21no—
270C11×#123—21no—
271C11×C22⋊Q8—21no—
272C11×C22⋊Q8—21no—
273C11×C22⋊Q8C2311yescharacteristic
274C11×C22⋊Q8C2311yescharacteristic
275C11×C22⋊Q8C2311yescharacteristic
276C11×C22⋊Q8C2311yescharacteristic
277C11×#121—21no—
278C4×Q8×C11C2311yescharacteristic
279C4×D4×C11—21no—
280C4×D4×C11C2311yescharacteristic
281C4×D4×C11C2311yescharacteristic
282C2×C11×C4⋊C4—21no—
283#67003—24no—
284#67002—24no—
285#67000—21no—
286#67000C2311yescharacteristic
287#67000C2311yescharacteristic
288#66999—21no—
289#66999—21no—
290#66999C2311yescharacteristic
291#66999C2311yescharacteristic
292#66999C2311yescharacteristic
293#66999C2311yescharacteristic
294Q8×Dic11C2311yescharacteristic
295#66997—21no—
296#66997C2311yescharacteristic
297#66997C2311yescharacteristic
298C2×#4326—24no—
299C2×#4326C2311yescharacteristic
300C2×#4326C2311yescharacteristic
301C2×#4326C2311yescharacteristic
302C2×#4326C2311yescharacteristic
303C2×#4326C2311yescharacteristic
304C2×#4326C2311yescharacteristic
305C2×#4326C2311yescharacteristic
306C2×#4326C2311yescharacteristic
307#66995—24no—
308C2×#4325C2311yescharacteristic
309C2×#4325C2311yescharacteristic
310C2×#4325C2311yescharacteristic
311C2×#4325C2311yescharacteristic
312C2×#4325C2311yescharacteristic
313C2×#4325C2311yescharacteristic
314C2×#4325C2311yescharacteristic
315#66992—21no—
316#66992—21no—
317#66992—21no—
318#66992D411yescharacteristic
319#66990—21no—
320#66990—21no—
321#66990D411yescharacteristic
322#66988—21no—
323D4×Dic11C2311yescharacteristic
324C2×#4324C2311yescharacteristic
325C2×#4323C2311yescharacteristic
326C2×#4323C2311yescharacteristic
327#66983—21no—
328#66983—21no—
329#66983C2311yescharacteristic
330#66983C2311yescharacteristic
331#66982—21no—
332#66982—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11—21no—
336C4×C22⋊D11C2311yescharacteristic
337C4×C22⋊D11C2311yescharacteristic
338C2×(C2×D11)⋊C4—21no—
339C2×(C2×D11)⋊C4—21no—
340#66977—21no—
341#66977C2311yescharacteristic
342#66977C2311yescharacteristic
343C2×Dic11⋊C4—21no—
344C2×Dic11⋊C4—21no—
345C2×#4318C2311yescharacteristic
346C22×C11⋊C8C2311yescharacteristic
347#66972—24no—
348#66972—24no—
349#66971—24no—
350#66971—24no—
351#66971—24no—
352#66971—24no—
353#66971—42no—
354#66971—42no—
355Q16×D11—24no—
356Q16×D11—24no—
357#66969—24no—
358#66969—24no—
359#66969D418yescomplemented
360#66968—24no—
361#66968—24no—
362#66967—24no—
363#66967—24no—
364#66962—24no—
365#66961—24no—
366#66960—24no—
367M16×D11—24no—
368C2×Dic44C2311yescharacteristic
369C2×Dic44C2311yescharacteristic
370C2×D88C2311yescharacteristic
371C2×D88C2311yescharacteristic
372C2×#4314C2311yescharacteristic
373C2×#4314C2311yescharacteristic
374C2×#4314C2311yescharacteristic
375C2×#4314C2311yescharacteristic
376C2×#4314C2311yescharacteristic
377C2×#4313C2311yescharacteristic
378C2×#4313C2311yescharacteristic
379C2×#4313C2311yescharacteristic
380C2×#4313C2311yescharacteristic
381C2×#4313C2311yescharacteristic
382C2×C8×D11C2311yescharacteristic
383C2×C8×D11C2311yescharacteristic
384C2×C8×D11C2311yescharacteristic
385#66950—21no—
386#66950C2311yescharacteristic
387#66950C2311yescharacteristic
388#66949—21no—
389#66949—21no—
390#66949—21no—
391#66949—21no—
392#66949—21no—
393#66949—21no—
394#66949—21no—
395#66949—21no—
396#66949—21no—
397#66949—21no—
398#66949—21no—
399#66949—21no—
400#66949—21no—
401#66949D411yescharacteristic
402#66948—21no—
403#66948—21no—
404#66948—21no—
405#66948—21no—
406#66948—21no—
407#66948C2311yescharacteristic
408#66948C2311yescharacteristic
409#66947—21no—
410#66947—21no—
411#66947—21no—
412#66947—21no—
413#66947—21no—
414#66947—21no—
415#66947—21no—
416#66947—21no—
417#66947—21no—
418#66947D411yescharacteristic
419#66946—21no—
420#66946—21no—
421#66946—21no—
422#66946C2311yescharacteristic
423C4⋊C4×D11—21no—
424C4⋊C4×D11—21no—
425C4⋊C4×D11—21no—
426C4⋊C4×D11—21no—
427C4⋊C4×D11—21no—
428C4⋊C4×D11C2311yescharacteristic
429C4⋊C4×D11C2311yescharacteristic
430#66941—21no—
431#66941—21no—
432#66940C2311yescharacteristic
433#66939—21no—
434#66938—21no—
435#66938—21no—
436#66937—21no—
437#66937—21no—
438#66937—21no—
439#66937—21no—
440#66937—21no—
441#66937—21no—
442#66937—21no—
443#66937D411yescharacteristic
444#66936—21no—
445#66936D411yescharacteristic
446#66935—21no—
447#66935—21no—
448#66935D411yescharacteristic
449(C22⋊D11)⋊C4—21no—
450(C22⋊D11)⋊C4—21no—
451(C22⋊D11)⋊C4—21no—
452C22⋊C4×D11—21no—
453C22⋊C4×D11—21no—
454C22⋊C4×D11—21no—
455C22⋊C4×D11—21no—
456#66931—21no—
457#66931—21no—
458#66931—21no—
459#66931D411yescharacteristic
460#66930—21no—
461#66928—21no—
462#66928C2311yescharacteristic
463#66928C2311yescharacteristic
464C4×D44—21no—
465C4×D44—21no—
466C4×D44C2311yescharacteristic
467C4×D44C2311yescharacteristic
468#66925—21no—
469#66925C2311yescharacteristic
470C4×Dic22C2311yescharacteristic
471C11×#106C2311yescharacteristic
472C11×C4⋊C8C2311yescharacteristic
473C11×#103C2311yescharacteristic
474C11×#103C2311yescharacteristic
475C11×#103C2311yescharacteristic
476C11×#103C2311yescharacteristic
477C11×#103C2311yescharacteristic
478C11×#102C2311yescharacteristic
479C11×C22⋊C8C2311yescharacteristic
480C11×C22⋊C8C2311yescharacteristic
481C4×C8×C11C2311yescharacteristic
482#66899C2311yescharacteristic
483#66899C2311yescharacteristic
484#66899C2311yescharacteristic
485#66899C2311yescharacteristic
486#66899C2311yescharacteristic
487#66896C2311yescharacteristic
488C22⋊(C11⋊C8)C2311yescharacteristic
489C22⋊(C11⋊C8)C2311yescharacteristic
490#66885C2311yescharacteristic
491#66885C2311yescharacteristic
492#66885C2311yescharacteristic
493(C2×D11)⋊C8C2311yescharacteristic
494(C2×D11)⋊C8C2311yescharacteristic
495(C2×D11)⋊C8C2311yescharacteristic
496(C2×D11)⋊C8C2311yescharacteristic
497#66881C2311yescharacteristic
498#66880C2311yescharacteristic
499#66880C2311yescharacteristic
500#66880C2311yescharacteristic
501#66879C2311yescharacteristic
502Dic11⋊C8C2311yescharacteristic
503Dic11⋊C8C2311yescharacteristic
504C8×Dic11C2311yescharacteristic
505#66874C2311yescharacteristic
506#66874C2311yescharacteristic
507#66874C2311yescharacteristic
508#66873C2311yescharacteristic
509#66873C2311yescharacteristic
510#66873C2311yescharacteristic
511#66872C2311yescharacteristic
512#66872C2311yescharacteristic
513C4⋊(C11⋊C8)C2311yescharacteristic
514#66867C2311yescharacteristic
515#61064—111nomaximal, Sylow
516C23×D11—21no—
517C23×D11—21no—
518C23×D11C2×D411yescharacteristic
519C11×#41—22no—
520C11×#41—22no—
521C11×#41—41no—
522C11×#41—41no—
523C2×Q8×C11—21no—
524C2×Q8×C11—21no—
525C2×Q8×C11—22no—
526C2×Q8×C11—22no—
527C2×Q8×C11—41no—
528C2×Q8×C11—41no—
529C2×Q8×C11C2411yescharacteristic
530C2×Q8×C11C2411yescharacteristic
531C2×Q8×C11C2411yescharacteristic
532C2×Q8×C11C2411yescharacteristic
533C2×Q8×C11C2411yescharacteristic
534C2×D4×C11—21no—
535C2×D4×C11—21no—
536C2×D4×C11C2×D411yescharacteristic
537C2×D4×C11C2411yescharacteristic
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11—21no—
543C22×C4×C11C2411yescharacteristic
544C22×C4×C11C2411yescharacteristic
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—21no—
551C2×C22⋊D11—21no—
552C2×C22⋊D11C2×D411yescharacteristic
553C2×C22⋊D11C2×D411yescharacteristic
554C2×C22⋊D11C2×D411yescharacteristic
555C2×C22⋊D11C2×D411yescharacteristic
556C22×Dic11—21no—
557C22×Dic11—21no—
558C22×Dic11—21no—
559C22×Dic11—21no—
560C22×Dic11C2×D411yescharacteristic
561#4343—22no—
562#4343—22no—
563#4343—22no—
564#4343—22no—
565#4343—22no—
566#4343—22no—
567#4343—22no—
568#4343—22no—
569#4343—41no—
570#4343—41no—
571#4343—41no—
572#4343—44no—
573#4343—44no—
574#4343—44no—
575#4343C2×D414yes—
576Q8×D11—22no—
577Q8×D11—22no—
578Q8×D11—22no—
579Q8×D11—22no—
580Q8×D11—22no—
581Q8×D11—22no—
582Q8×D11—22no—
583Q8×D11—41no—
584Q8×D11—41no—
585Q8×D11—41no—
586Q8×D11—44no—
587#4341—22no—
588#4341—22no—
589#4341—41no—
590#4341—44no—
591#4341—44no—
592#4341—44no—
593#4341C2×D414yes—
594D4×D11—22no—
595D4×D11—41no—
596D4×D11—44no—
597#4339—22no—
598#4339—22no—
599#4339—22no—
600#4339—22no—
601#4339—41no—
602#4339—41no—
603#4339—44no—
604#4339—44no—
605#4339—44no—
606#4339—44no—
607C2×D44—21no—
608C2×D44—21no—
609C2×D44—21no—
610C2×D44—21no—
611C2×D44—21no—
612C2×D44—21no—
613C2×D44—21no—
614C2×D44—21no—
615C2×D44—22no—
616C2×D44—21no—
617C2×D44—41no—
618C2×D44—44no—
619C2×D44C2×D411yescharacteristic
620C2×D44C2×D411yescharacteristic
621C2×D44C2411yescharacteristic
622C2×D44C2411yescharacteristic
623C2×D44C2411yescharacteristic
624C2×C4×D11—21no—
625C2×C4×D11—22no—
626C2×C4×D11—22no—
627C2×C4×D11—21no—
628C2×C4×D11—21no—
629C2×C4×D11—21no—
630C2×C4×D11—21no—
631C2×C4×D11—21no—
632C2×C4×D11—21no—
633C2×C4×D11—21no—
634C2×C4×D11—21no—
635C2×C4×D11—21no—
636C2×C4×D11—21no—
637C2×C4×D11—21no—
638C2×C4×D11—21no—
639C2×C4×D11—21no—
640C2×C4×D11—21no—
641C2×C4×D11—21no—
642C2×C4×D11—21no—
643C2×C4×D11—44no—
644C2×C4×D11—44no—
645C2×C4×D11C2×D411yescharacteristic
646C2×C4×D11C2×D411yescharacteristic
647C2×C4×D11C2411yescharacteristic
648C2×C4×D11C2411yescharacteristic
649C2×C4×D11C2411yescharacteristic
650C2×Dic22—22no—
651C2×Dic22—21no—
652C2×Dic22—21no—
653C2×Dic22—21no—
654C2×Dic22—21no—
655C2×Dic22—21no—
656C2×Dic22—21no—
657C2×Dic22—41no—
658C2×Dic22—44no—
659C2×Dic22C2×D411yescharacteristic
660C2×Dic22C2411yescharacteristic
661C2×Dic22C2411yescharacteristic
662C2×Dic22C2411yescharacteristic
663C11×Q16—22no—
664C11×Q16—22no—
665C11×Q16—22no—
666C11×Q16—22no—
667C11×Q16—41no—
668C11×Q16—41no—
669C11×SD16—22no—
670C11×SD16—22no—
671C11×SD16C2×D414yes—
672C11×M16—22no—
673C11×M16—22no—
674C2×C8×C11C2411yescharacteristic
675C2×C8×C11C2411yescharacteristic
676C2×C8×C11C2411yescharacteristic
677C2×C8×C11C2411yescharacteristic
678C11×C4⋊C4—21no—
679C11×C4⋊C4—21no—
680C11×C4⋊C4—21no—
681C11×C4⋊C4—21no—
682C11×C4⋊C4—21no—
683C11×C4⋊C4—21no—
684C11×C4⋊C4—21no—
685C11×C4⋊C4—21no—
686C11×C4⋊C4—21no—
687C11×C4⋊C4C2×D411yescharacteristic
688C11×C4⋊C4C2411yescharacteristic
689C11×C4⋊C4C2411yescharacteristic
690C11×C22⋊C4—21no—
691C11×C22⋊C4—21no—
692C11×C22⋊C4—21no—
693C11×C22⋊C4—21no—
694C11×C22⋊C4—21no—
695C11×C22⋊C4C2×D411yescharacteristic
696C11×C22⋊C4C2×D411yescharacteristic
697C42×C11—21no—
698C42×C11C2411yescharacteristic
699C22⋊Dic11—21no—
700C22⋊Dic11—21no—
701C22⋊Dic11—21no—
702C22⋊Dic11C2×D411yescharacteristic
703C22⋊Dic11C2×D411yescharacteristic
704#4326—22no—
705#4326—22no—
706#4326—22no—
707#4326—22no—
708#4326—22no—
709#4326—41no—
710#4326—41no—
711#4326C2×D414yes—
712#4325—22no—
713#4325—22no—
714#4325—22no—
715#4325—22no—
716#4325—22no—
717#4325—41no—
718#4325—41no—
719#4324—22no—
720#4323—22no—
721#4323C2×D414yes—
722(C2×D11)⋊C4—21no—
723(C2×D11)⋊C4—21no—
724(C2×D11)⋊C4—21no—
725(C2×D11)⋊C4—21no—
726(C2×D11)⋊C4—21no—
727(C2×D11)⋊C4—21no—
728(C2×D11)⋊C4—21no—
729(C2×D11)⋊C4—21no—
730(C2×D11)⋊C4—21no—
731(C2×D11)⋊C4—21no—
732(C2×D11)⋊C4—21no—
733(C2×D11)⋊C4—21no—
734(C2×D11)⋊C4—21no—
735(C2×D11)⋊C4—21no—
736(C2×D11)⋊C4—21no—
737(C2×D11)⋊C4—21no—
738(C2×D11)⋊C4—21no—
739(C2×D11)⋊C4—21no—
740(C2×D11)⋊C4—21no—
741(C2×D11)⋊C4—21no—
742(C2×D11)⋊C4C2×D411yescharacteristic
743(C2×D11)⋊C4C2×D411yescharacteristic
744(C2×D11)⋊C4C2×D411yescharacteristic
745(C2×D11)⋊C4C2×D411yescharacteristic
746(C2×D11)⋊C4C2×D411yescharacteristic
747(C2×D11)⋊C4C2×D411yescharacteristic
748C4⋊Dic11—21no—
749C4⋊Dic11—21no—
750C4⋊Dic11—21no—
751C4⋊Dic11C2×D411yescharacteristic
752C4⋊Dic11C2411yescharacteristic
753C4⋊Dic11C2411yescharacteristic
754Dic11⋊C4—21no—
755Dic11⋊C4—21no—
756Dic11⋊C4—21no—
757Dic11⋊C4—21no—
758Dic11⋊C4—21no—
759Dic11⋊C4—21no—
760Dic11⋊C4—21no—
761Dic11⋊C4—21no—
762Dic11⋊C4—21no—
763Dic11⋊C4—21no—
764Dic11⋊C4—21no—
765Dic11⋊C4—21no—
766Dic11⋊C4—21no—
767Dic11⋊C4—21no—
768Dic11⋊C4C2×D411yescharacteristic
769Dic11⋊C4C2×D411yescharacteristic
770Dic11⋊C4C2×D411yescharacteristic
771Dic11⋊C4C2×D411yescharacteristic
772C4×Dic11—21no—
773C4×Dic11—21no—
774C4×Dic11—21no—
775C4×Dic11C2411yescharacteristic
776#4318—22no—
777C2×C11⋊C8—22no—
778C2×C11⋊C8C2411yescharacteristic
779C2×C11⋊C8C2411yescharacteristic
780C2×C11⋊C8C2411yescharacteristic
781C2×C11⋊C8C2411yescharacteristic
782Dic44—22no—
783Dic44—22no—
784D88—22no—
785D88—22no—
786#4314—22no—
787#4314—22no—
788#4314—41no—
789#4314—41no—
790#4314C2×D414yes—
791#4313—22no—
792#4313—22no—
793#4313—22no—
794#4313—22no—
795#4313—22no—
796C8×D11—22no—
797C8×D11—22no—
798C8×D11C2×D414yes—
799C2×#578—111no—
800C2×#575—111no—
801#3489—111no—
802#3489—111no—
803#3276—111no—
804#3276—111no—
805#3276—111no—
806#3276D1111yescharacteristic, complemented
807#3275—111no—
808#3275—111no—
809#3275—111no—
810#3275—111no—
811#3270—111no—
812#3270—111no—
813#3270—111no—
814#3270—111no—
815#3267—111no—
816#3267—111no—
817#3267—111no—
818#3267—111no—
819#3156—111no—
820#3060—111no—
821C2×#470—111no—
822#3046—111no—
823#3046—111no—
824#3013—111no—
825#3013—111no—
826#3007—111no—
827#3007—111no—
828#2952—111no—
829#2930—111no—
830C23×C11—21no—
831C23×C11C22×D411yescharacteristic
832C23×C11C22×D411yescharacteristic
833C22×D11—21no—
834C22×D11—22no—
835C22×D11—21no—
836C22×D11—21no—
837C22×D11—41no—
838C22×D11—41no—
839C22×D11—42no—
840C22×D11—42no—
841C22×D11—42no—
842C22×D11—42no—
843C22×D11—81no—
844C22×D11—81no—
845C22×D11C22×D411yescharacteristic
846C22×D11C22×D411yescharacteristic
847C22×D11C22×D411yescharacteristic
848Q8×C11—21no—
849Q8×C11—21no—
850Q8×C11—21no—
851Q8×C11—21no—
852Q8×C11—21no—
853Q8×C11—21no—
854Q8×C11—21no—
855Q8×C11—21no—
856Q8×C11—21no—
857Q8×C11—42no—
858Q8×C11—42no—
859Q8×C11C22×D412yes—
860D4×C11—21no—
861D4×C11—41no—
862D4×C11—42no—
863D4×C11—42no—
864D4×C11C22×D412yes—
865C2×C4×C11—21no—
866C2×C4×C11—21no—
867C2×C4×C11—21no—
868C2×C4×C11—21no—
869C2×C4×C11—21no—
870C2×C4×C11—21no—
871C2×C4×C11—21no—
872C2×C4×C11—21no—
873C2×C4×C11—21no—
874C2×C4×C11—21no—
875C2×C4×C11—21no—
876C2×C4×C11—42no—
877C2×C4×C11—42no—
878C2×C4×C11—42no—
879C2×C4×C11—42no—
880C2×C4×C11—81no—
881C2×C4×C11C22×D411yescharacteristic
882C2×C4×C11C22×D411yescharacteristic
883C2×C4×C11C22×D411yescharacteristic
884C2×C4×C11C22×D411yescharacteristic
885C2×C4×C11C2511yescharacteristic
886C22⋊D11—22no—
887C22⋊D11—24no—
888C22⋊D11—22no—
889C22⋊D11—41no—
890C22⋊D11—41no—
891C22⋊D11—42no—
892C22⋊D11—42no—
893C22⋊D11—42no—
894C22⋊D11—42no—
895C22⋊D11—81no—
896C22⋊D11—81no—
897C2×Dic11—21no—
898C2×Dic11—24no—
899C2×Dic11—22no—
900C2×Dic11—21no—
901C2×Dic11—21no—
902C2×Dic11—21no—
903C2×Dic11—21no—
904C2×Dic11—42no—
905C2×Dic11—42no—
906C2×Dic11—81no—
907C2×Dic11C22×D411yescharacteristic
908C2×Dic11C22×D411yescharacteristic
909C2×Dic11C22×D411yescharacteristic
910C2×Dic11C22×D411yescharacteristic
911C2×Dic11C22×D411yescharacteristic
912D44—24no—
913D44—22no—
914D44—21no—
915D44—21no—
916D44—21no—
917D44—21no—
918D44—21no—
919D44—41no—
920D44—42no—
921D44—42no—
922D44—42no—
923D44—42no—
924D44—42no—
925D44—42no—
926D44—81no—
927D44—81no—
928D44C22×D412yes—
929C4×D11—22no—
930C4×D11—21no—
931C4×D11—21no—
932C4×D11—21no—
933C4×D11—21no—
934C4×D11—22no—
935C4×D11—24no—
936C4×D11—42no—
937C4×D11—42no—
938C4×D11—42no—
939C4×D11—42no—
940C4×D11—42no—
941C4×D11—42no—
942C4×D11—42no—
943C4×D11—42no—
944C4×D11—42no—
945C4×D11—42no—
946C4×D11—42no—
947C4×D11—42no—
948C4×D11—81no—
949C4×D11—81no—
950C4×D11—81no—
951C4×D11—81no—
952C4×D11C22×D412yes—
953C4×D11H(5,𝔽2)12yes—
954Dic22—21no—
955Dic22—22no—
956Dic22—21no—
957Dic22—21no—
958Dic22—21no—
959Dic22—21no—
960Dic22—42no—
961Dic22—42no—
962Dic22—42no—
963Dic22—42no—
964Dic22—42no—
965Dic22—42no—
966Dic22C22×D412yes—
967C8×C11—21no—
968C8×C11—21no—
969C8×C11—21no—
970C8×C11C22×D412yes—
971C11⋊C8—21no—
972C11⋊C8—21no—
973C11⋊C8—21no—
974C11⋊C8C22×D412yes—
975C2×2−1+4—111no—
976C2×2−1+4—111no—
977C22×#41—111no—
978C22×#41—111no—
979#578—228no—
980#575—228no—
981C2×#137—111no—
982C2×#137—111no—
983C2×#137—111no—
984C2×#137—111no—
985C2×#137—111no—
986C2×#137—111no—
987C2×#137—111no—
988C2×#137—111no—
989C2×#137—111no—
990C2×#137—111no—
991C2×#137C2×D1111yescharacteristic
992C2×#137C2×D1111yescharacteristic, complemented
993C2×AGL(1,ℤ/8)—111no—
994C2×AGL(1,ℤ/8)—111no—
995C2×AGL(1,ℤ/8)—111no—
996C2×AGL(1,ℤ/8)—111no—
997C2×#135—111no—
998C2×#135—111no—
999C2×#135—111no—
1000C2×#135—111no—
1001C2×#135—111no—
1002C2×#135—111no—
1003C22×Q16—111no—
1004C22×Q16—111no—
1005C22×Q16—111no—
1006C2×#131—111no—
1007C22×M16—111no—
1008D4×Q8—111no—
1009D4×Q8—111no—
1010D4×Q8—111no—
1011D4×Q8C2×D1111yescharacteristic, complemented
1012#548—111no—
1013#548—111no—
1014#548—111no—
1015#548—111no—
1016#547—111no—
1017#547—111no—
1018#547—111no—
1019#547—221no—
1020#547—221no—
1021#547—221no—
1022#547—221no—
1023#547C2×D1111yescharacteristic
1024#546—111no—
1025#546—111no—
1026#546—111no—
1027#546—111no—
1028#546—221no—
1029#546—221no—
1030#546—221no—
1031#546—221no—
1032#537—111no—
1033#537—111no—
1034#537—221no—
1035#537—221no—
1036#536—111no—
1037#536—111no—
1038#536—221no—
1039#536—221no—
1040#525—111no—
1041#525—221no—
1042#525—221no—
1043C2×C22⋊Q8—111no—
1044C2×C22⋊Q8—111no—
1045C2×C22⋊Q8—221no—
1046C2×C22⋊Q8—221no—
1047#520—111no—
1048#520—111no—
1049#497—111no—
1050#497—111no—
1051#497—111no—
1052#497—111no—
1053#495—111no—
1054#495—111no—
1055#494—111no—
1056#494C2×D1111yescharacteristic, complemented
1057#470—111no—
1058#470—111no—
1059#470—111no—
1060#470—111no—
1061#470—111no—
1062#470—111no—
1063#470—111no—
1064#470—111no—
1065#470C2×D1111yescharacteristic, complemented
1066#470C2×D1111yescharacteristic, complemented
1067#469—111no—
1068#469—111no—
1069#465—111no—
1070#465—111no—
1071#465—111no—
1072#465—111no—
1073#464—111no—
1074#464—111no—
1075#464—111no—
1076#464—111no—
1077#463—111no—
1078#463—111no—
1079#463—111no—
1080#463—111no—
1081#462—111no—
1082#462—111no—
1083#462—111no—
1084#462C2×D1111yescharacteristic, complemented
1085#461—111no—
1086#461—111no—
1087#461—111no—
1088#461C2×D1111yescharacteristic, complemented
1089#452—111no—
1090#452—111no—
1091#452—111no—
1092#452—111no—
1093#452—111no—
1094#452—111no—
1095#452—111no—
1096#452—111no—
1097#452—111no—
1098#452—111no—
1099#452C2×D1111yescharacteristic
1100#452C2×D1111yescharacteristic, complemented
1101#451—111no—
1102#451—111no—
1103#451—111no—
1104#451—111no—
1105#451—111no—
1106#451—111no—
1107#451C2×D1111yescharacteristic, complemented
1108#451C2×D1111yescharacteristic, complemented
1109#450—111no—
1110#450—111no—
1111#450—111no—
1112#450—111no—
1113#449—111no—
1114#449—111no—
1115#449—111no—
1116#449—111no—
1117#448—111no—
1118#448—111no—
1119#448—111no—
1120#448—111no—
1121#442—111no—
1122#442—111no—
1123#441—111no—
1124#441—111no—
1125C4×SD16—111no—
1126C4×SD16—111no—
1127C4×SD16—111no—
1128C4×SD16C2×D1111yescharacteristic, complemented
1129#436—111no—
1130#436—111no—
1131#436—111no—
1132#436C2×D1111yescharacteristic, complemented
1133#435—111no—
1134#435—111no—
1135#435—111no—
1136#435—111no—
1137C2×#106—111no—
1138#424—111no—
1139#417—111no—
1140#417—111no—
1141#417—111no—
1142#417—111no—
1143C2×#103—111no—
1144C2×#103—111no—
1145#408—111no—
1146#407—111no—
1147#405—111no—
1148C22×C11—21no—
1149C22×C11—21no—
1150C22×C11—21no—
1151C22×C11—21no—
1152C22×C11—21no—
1153C22×C11—21no—
1154C22×C11—22no—
1155C22×C11—41no—
1156C22×C11—41no—
1157C22×C11C23×D411yescharacteristic
1158C2×D11—21no—
1159C2×D11—21no—
1160C2×D11—21no—
1161C2×D11—21no—
1162C2×D11—21no—
1163C2×D11—21no—
1164C2×D11—21no—
1165C2×D11—22no—
1166C2×D11—21no—
1167C2×D11—41no—
1168C2×D11—41no—
1169C2×D11—41no—
1170C2×D11—41no—
1171C2×D11—41no—
1172C2×D11—41no—
1173C2×D11—41no—
1174C2×D11—41no—
1175C2×D11—82no—
1176C2×D11—84no—
1177C2×D11—84no—
1178C2×D11D4212yes—
1179C4×C11—21no—
1180C4×C11—21no—
1181C4×C11—21no—
1182C4×C11—21no—
1183C4×C11—22no—
1184C4×C11—41no—
1185C4×C11—41no—
1186C4×C11—41no—
1187C4×C11—41no—
1188C4×C11—41no—
1189C4×C11—41no—
1190C4×C11C23×D411yescharacteristic
1191C4×C11C2×H(5,𝔽2)11yescharacteristic
1192Dic11—21no—
1193Dic11—21no—
1194Dic11—21no—
1195Dic11—22no—
1196Dic11—21no—
1197Dic11—41no—
1198Dic11—41no—
1199Dic11—41no—
1200Dic11—41no—
1201Dic11D4212yes—
12022−1+4—224no—
12032−1+4—224no—
12042−1+4—442no—
12052−1+4—442no—
1206C2×#41—111no—
1207C2×#41—111no—
1208C2×#41—111no—
1209C2×#41—111no—
1210C2×#41—111no—
1211C2×#41—111no—
1212C2×#41—111no—
1213C2×#41—111no—
1214C2×#41—111no—
1215C2×#41—111no—
1216C2×#41—111no—
1217C2×#41—221no—
1218C2×#41—221no—
1219C2×#41—221no—
1220C2×#41—221no—
1221C2×#41—221no—
1222C2×#41—221no—
1223C2×#41—221no—
1224C2×#41—221no—
1225C2×#41—221no—
1226C2×#41—221no—
1227C2×#41—224no—
1228C2×#41—224no—
1229C2×#41—442no—
1230C2×#41—442no—
1231C2×#41C22×D1111yescharacteristic
1232C2×#41C22×D1111yescharacteristic
1233C22×Q8—111no—
1234C22×Q8—111no—
1235C22×Q8—111no—
1236C22×Q8—111no—
1237C22×Q8—111no—
1238C22×Q8—111no—
1239C22×Q8—221no—
1240C22×Q8—221no—
1241C22×Q8C22×D1111yescharacteristic
1242C22×Q8C22×D1111yescharacteristic
1243C22×D4—111no—
1244C22×D4—111no—
1245C22×D4—221no—
1246C22×D4—221no—
1247C23×C4—111no—
1248C23×C4—221no—
1249C23×C4—221no—
1250#137—24no—
1251#137—24no—
1252#137—224no—
1253#137—224no—
1254#137—224no—
1255#137—224no—
1256#137—224no—
1257#137—224no—
1258#137—224no—
1259#137—224no—
1260#137—442no—
1261#137—442no—
1262AGL(1,ℤ/8)—224no—
1263AGL(1,ℤ/8)—224no—
1264AGL(1,ℤ/8)—224no—
1265AGL(1,ℤ/8)—224no—
1266#135—118no—
1267#135—224no—
1268#135—224no—
1269#135—224no—
1270#135—224no—
1271#135—224no—
1272C2×Q16—111no—
1273C2×Q16—111no—
1274C2×Q16—111no—
1275C2×Q16—111no—
1276C2×Q16—111no—
1277C2×Q16—111no—
1278C2×Q16—111no—
1279C2×Q16—111no—
1280C2×Q16—111no—
1281C2×Q16—111no—
1282C2×Q16—224no—
1283C2×Q16—224no—
1284C2×Q16—224no—
1285C2×Q16C22×D1111yescharacteristic
1286C2×Q16C22×D1111yescharacteristic
1287C2×Q16C22×D1111yescharacteristic
1288C2×Q16C22×D1111yescharacteristic
1289C2×Q16C22×D1111yescharacteristic
1290C2×Q16C22×D1111yescharacteristic
1291C2×SD16—111no—
1292C2×SD16—111no—
1293C2×SD16—111no—
1294C2×SD16—111no—
1295C2×SD16—111no—
1296C2×SD16—111no—
1297C2×SD16—111no—
1298C2×SD16—111no—
1299C2×SD16—111no—
1300C2×SD16—111no—
1301C2×SD16—111no—
1302C2×SD16—111no—
1303C2×SD16—111no—
1304C2×SD16C22×D1111yescharacteristic
1305C2×SD16C22×D1111yescharacteristic
1306C2×SD16C22×D1111yescharacteristic
1307C2×D8—111no—
1308C2×D8—111no—
1309C2×D8—111no—
1310C2×D8—111no—
1311#131—224no—
1312C2×M16—111no—
1313C2×M16—111no—
1314C2×M16—111no—
1315C2×M16—111no—
1316C2×M16—111no—
1317C2×M16—111no—
1318C2×M16—224no—
1319C2×M16C22×D1111yescharacteristic
1320C2×M16C22×D1111yescharacteristic
1321C22×C8—111no—
1322C22×C8—111no—
1323C22×C8—111no—
1324C22×C8—111no—
1325C4⋊Q8—21no—
1326C4⋊Q8—111no—
1327C4⋊Q8—111no—
1328C4⋊Q8—221no—
1329C4⋊Q8—221no—
1330C4⋊Q8—221no—
1331C4⋊Q8C22×D1111yescharacteristic
1332C4⋊Q8C22×D1111yescharacteristic
1333#124—111no—
1334#124—111no—
1335#124—111no—
1336#124—111no—
1337#124—221no—
1338#124—221no—
1339#124—221no—
1340#124—221no—
1341#123—21no—
1342#123—21no—
1343#123—111no—
1344#123—111no—
1345#123—221no—
1346#123—221no—
1347#123—221no—
1348#123—221no—
1349#123—221no—
1350#123—221no—
1351#123—221no—
1352#123—221no—
1353#123—221no—
1354#123—221no—
1355#123—221no—
1356#123—221no—
1357#123—221no—
1358#123—221no—
1359C22⋊Q8—21no—
1360C22⋊Q8—21no—
1361C22⋊Q8—111no—
1362C22⋊Q8—111no—
1363C22⋊Q8—111no—
1364C22⋊Q8—111no—
1365C22⋊Q8—111no—
1366C22⋊Q8—111no—
1367C22⋊Q8—111no—
1368C22⋊Q8—111no—
1369C22⋊Q8—111no—
1370C22⋊Q8—111no—
1371C22⋊Q8—221no—
1372C22⋊Q8—221no—
1373C22⋊Q8—221no—
1374C22⋊Q8—221no—
1375C22⋊Q8—221no—
1376C22⋊Q8—221no—
1377C22⋊Q8—221no—
1378C22⋊Q8—221no—
1379C22⋊Q8—221no—
1380C22⋊Q8—221no—
1381C22⋊Q8—221no—
1382C22⋊Q8—221no—
1383C22⋊Q8—221no—
1384C22⋊Q8—221no—
1385C22⋊Q8—221no—
1386C22⋊Q8—221no—
1387C22⋊Q8—221no—
1388C22⋊Q8—221no—
1389C22⋊Q8—221no—
1390C22⋊Q8—221no—
1391C22⋊Q8C22×D1111yescharacteristic
1392C22⋊Q8C22×D1111yescharacteristic
1393C22⋊Q8C22×D1111yescharacteristic
1394C22⋊Q8C22×D1111yescharacteristic
1395#121—21no—
1396#121—111no—
1397#121—111no—
1398#121—111no—
1399#121—111no—
1400#121—111no—
1401#121—111no—
1402#121—221no—
1403#121—221no—
1404#121—221no—
1405#121—221no—
1406#121—221no—
1407#121—221no—
1408#121—221no—
1409#121—221no—
1410#121—221no—
1411#121—221no—
1412#121—221no—
1413#121—221no—
1414#121—221no—
1415#121—221no—
1416#121—221no—
1417#121—221no—
1418#121—221no—
1419#120—111no—
1420#120—111no—
1421#120—221no—
1422#120—221no—
1423#120—221no—
1424#120—221no—
1425C4×Q8—111no—
1426C4×Q8—111no—
1427C4×Q8—111no—
1428C4×Q8C22×D1111yescharacteristic
1429C4×D4—21no—
1430C4×D4—111no—
1431C4×D4—111no—
1432C4×D4—111no—
1433C4×D4—111no—
1434C4×D4—111no—
1435C4×D4—111no—
1436C4×D4—221no—
1437C4×D4—221no—
1438C4×D4—221no—
1439C4×D4—221no—
1440C4×D4—221no—
1441C4×D4—221no—
1442C4×D4—221no—
1443C4×D4—221no—
1444C4×D4—221no—
1445C4×D4—221no—
1446C4×D4—221no—
1447C4×D4C22×D1111yescharacteristic
1448C4×D4C22×D1111yescharacteristic
1449#117—111no—
1450#117—221no—
1451#117—221no—
1452C2×C4⋊C4—21no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—221no—
1456C2×C4⋊C4—221no—
1457C2×C4⋊C4—221no—
1458C2×C4⋊C4—221no—
1459C2×C4⋊C4—221no—
1460C2×C4⋊C4—221no—
1461C2×C4⋊C4—221no—
1462C2×C22⋊C4—221no—
1463C2×C22⋊C4—221no—
1464C2×C22⋊C4—221no—
1465C2×C22⋊C4—221no—
1466C2×C22⋊C4—221no—
1467C2×C22⋊C4—221no—
1468#106—111no—
1469#106—111no—
1470#106—111no—
1471#106C22×D1111yescharacteristic
1472C4⋊C8—111no—
1473C4⋊C8—111no—
1474C4⋊C8—111no—
1475C4⋊C8C22×D1111yescharacteristic
1476#103—111no—
1477#103—111no—
1478#103—111no—
1479#103—111no—
1480#103—111no—
1481#103—111no—
1482#103—111no—
1483#103—111no—
1484#103—111no—
1485#103—111no—
1486#103—111no—
1487#103C22×D1111yescharacteristic
1488#103C22×D1111yescharacteristic
1489#103C22×D1111yescharacteristic
1490#103C22×D1111yescharacteristic
1491#103C22×D1111yescharacteristic
1492#102—111no—
1493#102—111no—
1494#102—111no—
1495#102—111no—
1496#102—111no—
1497#102—111no—
1498#102—111no—
1499#102C22×D1111yescharacteristic
1500C22⋊C8—111no—
1501C22⋊C8—111no—
1502C22⋊C8—111no—
1503C22⋊C8—111no—
1504C22⋊C8—111no—
1505C22⋊C8—111no—
1506C22⋊C8C22×D1111yescharacteristic
1507C22⋊C8C22×D1111yescharacteristic
1508#97—111no—
1509#97—111no—
1510C4×C8—111no—
1511C4×C8C22×D1111yescharacteristic
1512C2×C11—41no—
1513C2×C11—42no—
1514C2×C11—41no—
1515C2×C11C2×D4211yescharacteristic
1516C2×C11#358611yescharacteristic
1517C2×C11#358611yescharacteristic
1518D11—22no—
1519D11—41no—
1520D11—41no—
1521D11—42no—
1522D11—81no—
1523D11—81no—
1524C24—111no—
1525C24—221no—
1526C24—221no—
1527#41—22no—
1528#41—22no—
1529#41—41no—
1530#41—41no—
1531#41—114no—
1532#41—114no—
1533#41—222no—
1534#41—222no—
1535#41—222no—
1536#41—222no—
1537#41—222no—
1538#41—222no—
1539#41—222no—
1540#41—222no—
1541#41—222no—
1542#41—222no—
1543#41—222no—
1544#41—222no—
1545#41—222no—
1546#41—222no—
1547#41—441no—
1548#41—441no—
1549#41—444no—
1550#41—444no—
1551#41—444no—
1552#41—444no—
1553#41—444no—
1554#41—444no—
1555#41—441no—
1556#41—444no—
1557#41—441no—
1558#41—441no—
1559#41—441no—
1560#41—444no—
1561#41—444no—
1562#41—444no—
1563C2×Q8—21no—
1564C2×Q8—21no—
1565C2×Q8—22no—
1566C2×Q8—22no—
1567C2×Q8—41no—
1568C2×Q8—41no—
1569C2×Q8—111no—
1570C2×Q8—111no—
1571C2×Q8—111no—
1572C2×Q8—111no—
1573C2×Q8—221no—
1574C2×Q8—221no—
1575C2×Q8—221no—
1576C2×Q8—221no—
1577C2×Q8—221no—
1578C2×Q8—222no—
1579C2×Q8—222no—
1580C2×Q8—222no—
1581C2×Q8—222no—
1582C2×Q8—222no—
1583C2×Q8—221no—
1584C2×Q8—222no—
1585C2×Q8—222no—
1586C2×Q8—222no—
1587C2×Q8—441no—
1588C2×Q8—444no—
1589C2×Q8—441no—
1590C2×Q8—441no—
1591C2×Q8—441no—
1592C2×Q8—444no—
1593C2×Q8C23×D1111yescharacteristic
1594C2×Q8C23×D1111yescharacteristic
1595C2×Q8C23×D1111yescharacteristic
1596C2×Q8C23×D1111yescharacteristic
1597C2×Q8C23×D1111yescharacteristic
1598C2×D4—21no—
1599C2×D4—21no—
1600C2×D4—111no—
1601C2×D4—111no—
1602C2×D4—111no—
1603C2×D4—111no—
1604C2×D4—111no—
1605C2×D4—111no—
1606C2×D4—111no—
1607C2×D4—111no—
1608C2×D4—111no—
1609C2×D4—222no—
1610C2×D4—221no—
1611C2×D4—221no—
1612C2×D4—221no—
1613C2×D4—221no—
1614C2×D4—221no—
1615C2×D4—221no—
1616C2×D4—221no—
1617C2×D4—221no—
1618C2×D4—221no—
1619C2×D4—221no—
1620C2×D4—222no—
1621C2×D4—221no—
1622C2×D4—221no—
1623C2×D4—221no—
1624C2×D4—221no—
1625C2×D4—221no—
1626C2×D4—221no—
1627C2×D4—441no—
1628C2×D4—444no—
1629C2×D4—441no—
1630C2×D4—444no—
1631C2×D4D4×D1111yescharacteristic
1632C2×D4C23×D1111yescharacteristic
1633C22×C4—21no—
1634C22×C4—21no—
1635C22×C4—21no—
1636C22×C4—21no—
1637C22×C4—21no—
1638C22×C4—111no—
1639C22×C4—111no—
1640C22×C4—111no—
1641C22×C4—111no—
1642C22×C4—111no—
1643C22×C4—111no—
1644C22×C4—221no—
1645C22×C4—222no—
1646C22×C4—222no—
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×C4—221no—
1665C22×C4—221no—
1666C22×C4—221no—
1667C22×C4—444no—
1668C22×C4—444no—
1669C22×C4C23×D1111yescharacteristic
1670C22×C4C23×D1111yescharacteristic
1671Q16—22no—
1672Q16—22no—
1673Q16—22no—
1674Q16—22no—
1675Q16—41no—
1676Q16—41no—
1677Q16—114no—
1678Q16—222no—
1679Q16—222no—
1680Q16—222no—
1681Q16—222no—
1682Q16—222no—
1683Q16—222no—
1684Q16—222no—
1685Q16—441no—
1686Q16—441no—
1687SD16—22no—
1688SD16—22no—
1689SD16—114no—
1690SD16—222no—
1691SD16—222no—
1692SD16—222no—
1693SD16—222no—
1694SD16—222no—
1695SD16—222no—
1696SD16—222no—
1697SD16—222no—
1698SD16—441no—
1699SD16—441no—
1700SD16—441no—
1701SD16—441no—
1702SD16D4×D1114yes—
1703D8—114no—
1704D8—222no—
1705D8—222no—
1706D8—222no—
1707M16—22no—
1708M16—22no—
1709M16—222no—
1710M16—222no—
1711M16—222no—
1712M16—222no—
1713M16—222no—
1714M16—222no—
1715C2×C8—111no—
1716C2×C8—114no—
1717C2×C8—111no—
1718C2×C8—111no—
1719C2×C8—111no—
1720C2×C8—222no—
1721C2×C8—222no—
1722C2×C8—222no—
1723C2×C8C23×D1111yescharacteristic
1724C2×C8C23×D1111yescharacteristic
1725C2×C8C23×D1111yescharacteristic
1726C2×C8C23×D1111yescharacteristic
1727C4⋊C4—21no—
1728C4⋊C4—21no—
1729C4⋊C4—21no—
1730C4⋊C4—21no—
1731C4⋊C4—21no—
1732C4⋊C4—21no—
1733C4⋊C4—21no—
1734C4⋊C4—21no—
1735C4⋊C4—21no—
1736C4⋊C4—111no—
1737C4⋊C4—111no—
1738C4⋊C4—111no—
1739C4⋊C4—111no—
1740C4⋊C4—111no—
1741C4⋊C4—111no—
1742C4⋊C4—111no—
1743C4⋊C4—221no—
1744C4⋊C4—221no—
1745C4⋊C4—221no—
1746C4⋊C4—221no—
1747C4⋊C4—221no—
1748C4⋊C4—221no—
1749C4⋊C4—221no—
1750C4⋊C4—221no—
1751C4⋊C4—221no—
1752C4⋊C4—221no—
1753C4⋊C4—221no—
1754C4⋊C4—221no—
1755C4⋊C4—221no—
1756C4⋊C4—221no—
1757C4⋊C4—221no—
1758C4⋊C4—221no—
1759C4⋊C4—221no—
1760C4⋊C4D4×D1111yescharacteristic
1761C4⋊C4C23×D1111yescharacteristic
1762C4⋊C4C23×D1111yescharacteristic
1763C22⋊C4—21no—
1764C22⋊C4—21no—
1765C22⋊C4—21no—
1766C22⋊C4—21no—
1767C22⋊C4—21no—
1768C22⋊C4—111no—
1769C22⋊C4—111no—
1770C22⋊C4—111no—
1771C22⋊C4—111no—
1772C22⋊C4—111no—
1773C22⋊C4—111no—
1774C22⋊C4—111no—
1775C22⋊C4—111no—
1776C22⋊C4—221no—
1777C22⋊C4—221no—
1778C22⋊C4—221no—
1779C22⋊C4—221no—
1780C22⋊C4—221no—
1781C22⋊C4—221no—
1782C22⋊C4—221no—
1783C22⋊C4—221no—
1784C22⋊C4—221no—
1785C22⋊C4—221no—
1786C22⋊C4—221no—
1787C22⋊C4—221no—
1788C22⋊C4—221no—
1789C22⋊C4—221no—
1790C22⋊C4—221no—
1791C22⋊C4—221no—
1792C22⋊C4—221no—
1793C22⋊C4—221no—
1794C22⋊C4—221no—
1795C22⋊C4—221no—
1796C22⋊C4—221no—
1797C22⋊C4—221no—
1798C22⋊C4—221no—
1799C22⋊C4D4×D1111yescharacteristic
1800C22⋊C4D4×D1111yescharacteristic
1801C42—21no—
1802C42—111no—
1803C42—221no—
1804C42—221no—
1805C42—221no—
1806C42C23×D1111yescharacteristic
1807C11#6106411yescharacteristic, complemented, Sylow
1808C23—21no—
1809C23—111no—
1810C23—111no—
1811C23—111no—
1812C23—222no—
1813C23—221no—
1814C23—221no—
1815C23—221no—
1816C23—441no—
1817C23—441no—
1818C23—442no—
1819C23—442no—
1820C23—442no—
1821C23—442no—
1822C23—881no—
1823C23—881no—
1824C23C2×D4×D1111yescharacteristic
1825C23C2×D4×D1111yescharacteristic
1826Q8—21no—
1827Q8—21no—
1828Q8—21no—
1829Q8—21no—
1830Q8—21no—
1831Q8—21no—
1832Q8—21no—
1833Q8—21no—
1834Q8—21no—
1835Q8—42no—
1836Q8—42no—
1837Q8—112no—
1838Q8—222no—
1839Q8—221no—
1840Q8—221no—
1841Q8—221no—
1842Q8—221no—
1843Q8—221no—
1844Q8—442no—
1845Q8—442no—
1846Q8—442no—
1847Q8—442no—
1848Q8—442no—
1849Q8—442no—
1850Q8C2×D4×D1112yes—
1851D4—21no—
1852D4—41no—
1853D4—42no—
1854D4—42no—
1855D4—112no—
1856D4—222no—
1857D4—224no—
1858D4—222no—
1859D4—222no—
1860D4—224no—
1861D4—221no—
1862D4—221no—
1863D4—221no—
1864D4—221no—
1865D4—221no—
1866D4—441no—
1867D4—442no—
1868D4—442no—
1869D4—442no—
1870D4—442no—
1871D4—442no—
1872D4—442no—
1873D4—441no—
1874D4—441no—
1875D4—442no—
1876D4—442no—
1877D4—442no—
1878D4—442no—
1879D4—881no—
1880D4—881no—
1881D4—881no—
1882D4—881no—
1883D4C2×D4×D1112yes—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—42no—
1896C2×C4—42no—
1897C2×C4—42no—
1898C2×C4—42no—
1899C2×C4—81no—
1900C2×C4—111no—
1901C2×C4—112no—
1902C2×C4—112no—
1903C2×C4—111no—
1904C2×C4—111no—
1905C2×C4—111no—
1906C2×C4—111no—
1907C2×C4—222no—
1908C2×C4—224no—
1909C2×C4—222no—
1910C2×C4—222no—
1911C2×C4—224no—
1912C2×C4—221no—
1913C2×C4—221no—
1914C2×C4—221no—
1915C2×C4—221no—
1916C2×C4—221no—
1917C2×C4—221no—
1918C2×C4—221no—
1919C2×C4—221no—
1920C2×C4—221no—
1921C2×C4—442no—
1922C2×C4—442no—
1923C2×C4—442no—
1924C2×C4—442no—
1925C2×C4—442no—
1926C2×C4—442no—
1927C2×C4—442no—
1928C2×C4—442no—
1929C2×C4—442no—
1930C2×C4—442no—
1931C2×C4—442no—
1932C2×C4—442no—
1933C2×C4—442no—
1934C2×C4—442no—
1935C2×C4—881no—
1936C2×C4—881no—
1937C2×C4—881no—
1938C2×C4—881no—
1939C2×C4—881no—
1940C2×C4C2×D4×D1111yescharacteristic
1941C2×C4C2×D4×D1111yescharacteristic
1942C2×C4C2×D4×D1111yescharacteristic
1943C2×C4C2×D4×D1111yescharacteristic
1944C2×C4C24×D1111yescharacteristic
1945C8—21no—
1946C8—21no—
1947C8—21no—
1948C8—112no—
1949C8—221no—
1950C8—221no—
1951C8—221no—
1952C8C2×D4×D1112yes—
1953C22—21no—
1954C22—21no—
1955C22—21no—
1956C22—21no—
1957C22—21no—
1958C22—21no—
1959C22—22no—
1960C22—41no—
1961C22—41no—
1962C22—112no—
1963C22—221no—
1964C22—221no—
1965C22—221no—
1966C22—221no—
1967C22—221no—
1968C22—221no—
1969C22—221no—
1970C22—221no—
1971C22—222no—
1972C22—441no—
1973C22—441no—
1974C22—441no—
1975C22—441no—
1976C22—441no—
1977C22—441no—
1978C22—441no—
1979C22—441no—
1980C22—882no—
1981C22—884no—
1982C22—884no—
1983C22C22×D4×D1111yescharacteristic
1984C4—21no—
1985C4—21no—
1986C4—21no—
1987C4—21no—
1988C4—22no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—41no—
1993C4—41no—
1994C4—41no—
1995C4—112no—
1996C4—221no—
1997C4—221no—
1998C4—221no—
1999C4—221no—
2000C4—222no—
2001C4—441no—
2002C4—441no—
2003C4—441no—
2004C4—441no—
2005C4C22×D4×D1111yescharacteristic
2006C4D11×H(5,𝔽2)11yescharacteristic
2007C2—41no—
2008C2—41no—
2009C2—42no—
2010C2—222no—
2011C2—441no—
2012C2—441no—
2013C2—442no—
2014C2—881no—
2015C2—881no—
2016C2D42×D1111yescharacteristic
2017C2#1308339911yescharacteristic
2018C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3276C2
socleC22×C11C23×D4
hypercenter#3276D11
hypocenterC11#61064
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3276

Complements

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

NH ≅ G/Ntype
1. C2×#10623310C2semidirect
2. C2×#10623308C2semidirect
3. #13082293C2semidirect
4. #13082290C2semidirect
5. #13080261C2semidirect
6. #13080259C2semidirect
7. #13080256C2semidirect
8. #13080252C2semidirect
9. #13080249C2semidirect
10. #13080244C2semidirect
11. #13080241C2semidirect
12. #13080192C2semidirect
13. #13080190C2semidirect
14. #13080189C2semidirect
15. #13080187C2semidirect
16. #13080147C2semidirect
17. #13080145C2semidirect
18. #13080144C2semidirect
19. #13080142C2semidirect
20. #13079104C2semidirect
21. #13078280C2semidirect
22. D11×#470C2semidirect
23. #13078163C2semidirect
24. #13078161C2semidirect
25. #13077935C2semidirect
26. #13077932C2semidirect
27. #13077875C2semidirect
28. #13077873C2semidirect
29. #13077494C2semidirect
30. #13077316C2semidirect
31. C11×#3276C2semidirect
32. C2×#67043C22semidirect
34. C2×#67040C22semidirect
37. C2×C11×#137C22semidirect
38. D4×Q8×C11C22semidirect
40. #10623360C22semidirect
42. C2×#67003C22semidirect
45. Q8×C22⋊D11C22semidirect
46. C22×#4326C22semidirect
54. C2×#66971C22semidirect
55. C2×#66971C22semidirect
56. C2×#66971C22semidirect
57. C2×#66971C22semidirect
58. C2×Q16×D11C22semidirect
59. C2×Q16×D11C22semidirect
62. C2×#66969C22semidirect
63. C2×#66968C22semidirect
64. C2×#66968C22semidirect
67. C2×#66962C22semidirect
69. C2×#66960C22semidirect
71. #10623258C22semidirect
75. #10623255C22semidirect
76. #10623255C22semidirect
82. #10623163C22semidirect
86. #10623161C22semidirect
88. #10623160C22semidirect
89. #10623160C22semidirect
96. #10623105C22semidirect
97. #10623085C22semidirect
100. #10623081C22semidirect
103. #10623077C22semidirect
106. C11×#494C22semidirect
107. C11×#470C22semidirect
108. C11×#470C22semidirect
109. C11×#462C22semidirect
110. C11×#461C22semidirect
112. C11×#452C22semidirect
113. C11×#451C22semidirect
114. C11×#451C22semidirect
115. C4×C11×SD16C22semidirect
116. C11×#436C22semidirect
118. #10622851C22semidirect
119. #10622841C22semidirect
120. #10622840C22semidirect
121. #10622804C22semidirect
122. #10622803C22semidirect
123. #10622803C22semidirect
124. #10622802C22semidirect
125. #10622802C22semidirect
128. #10622800C22semidirect
129. #10622799C22semidirect
130. #10622799C22semidirect
131. #10622799C22semidirect
132. #10622798C22semidirect
133. #10622795C22semidirect
134. #10622794C22semidirect
135. #10622786C22semidirect
136. #10622782C22semidirect
137. #10622778C22semidirect
138. #10622775C22semidirect
139. SD16×Dic11C22semidirect
140. #10622750C22semidirect
141. #10622748C22semidirect
142. #10622741C22semidirect
143. #10622741C22semidirect
144. #10622703C22semidirect
145. #10622699C22semidirect
146. #10622699C22semidirect
147. #10622696C22semidirect
148. #10622665C22semidirect
149. #10622665C22semidirect
150. #10622663C22semidirect
151. #10622661C22semidirect
152. #10622661C22semidirect
154. #10622660C22semidirect
155. #10622659C22semidirect
156. #10622643C22semidirect
157. #10622641C22semidirect
158. #10622629C22semidirect
159. #10622627C22semidirect
160. #10622624C22semidirect
161. #10622481C22semidirect
162. #10622478C22semidirect
163. D11×#106C22semidirect
164. #10622465C22semidirect
165. #10622458C22semidirect
166. #10622457C22semidirect
167. #10622452C22semidirect
168. #10622449C22semidirect
169. #10622432C22semidirect
170. #10622431C22semidirect
171. #10622429C22semidirect
172. #10622429C22semidirect
173. #10622424C22semidirect
176. #10622421C22semidirect
177. #10622420C22semidirect
178. #10622420C22semidirect
179. #10622419C22semidirect
180. #10622419C22semidirect
181. #10622416C22semidirect
182. #10622416C22semidirect
183. #10622416C22semidirect
184. D11×#103C22semidirect
185. D11×#103C22semidirect
186. #10622411C22semidirect
187. #10622406C22semidirect
188. #10622402C22semidirect
189. #10622398C22semidirect
190. #10622394C22semidirect
191. #10622389C22semidirect
192. #10622384C22semidirect
193. #10622351C22semidirect
194. #10622347C22semidirect
196. #10622344C22semidirect
197. #10622343C22semidirect
198. #10622341C22semidirect
199. #10622340C22semidirect
201. #10622309C22semidirect
202. C4×#4314C22semidirect
203. #10622302C22semidirect
204. #10622301C22semidirect
359. #66969D4semidirect
806. #3276D11semidirect
992. C2×#137C2×D11semidirect
1011. D4×Q8C2×D11semidirect
1056. #494C2×D11semidirect
1065. #470C2×D11semidirect
1066. #470C2×D11semidirect
1084. #462C2×D11semidirect
1088. #461C2×D11semidirect
1100. #452C2×D11semidirect
1107. #451C2×D11semidirect
1108. #451C2×D11semidirect
1128. C4×SD16C2×D11semidirect
1132. #436C2×D11semidirect
1807. C11#61064semidirect

Maximal subgroups

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

subgroupindex
C2×#106233102
C2×#106233082
#130822932
#130822902
#130802612
#130802592
#130802562
#130802522
#130802492
#130802442
#130802412
#130801922
#130801902
#130801892
#130801872
#130801472
#130801452
#130801442
#130801422
#130791042
#130782802
D11×#4702
#130781632
#130781612
#130779352
#130779322
#130778752
#130778732
#130774942
#130773162
C11×#32762
#6106411