Finite Group Databasebeta

← #15624642

Subgroups — #15624642

Order 2816.

2118 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#13082291C211yesmaximal, characteristic
2D11×#536C211yesmaximal, characteristic, complemented
3#13079511C211yesmaximal, characteristic, complemented
4#13079510C211yesmaximal, characteristic, complemented
5#13079509C211yesmaximal, characteristic, complemented
6#13079507C211yesmaximal, characteristic, complemented
7#13079496C211yesmaximal, characteristic, complemented
8#13079494C211yesmaximal, characteristic, complemented
9#13079492C211yesmaximal, characteristic, complemented
10#13079444C211yesmaximal, characteristic, complemented
11#13079441C211yesmaximal, characteristic, complemented
12#13079439C211yesmaximal, characteristic, complemented
13#13079436C211yesmaximal, characteristic, complemented
14#13079395C211yesmaximal, characteristic, complemented
15#13079392C211yesmaximal, characteristic, complemented
16#13079390C211yesmaximal, characteristic, complemented
17#13079387C211yesmaximal, characteristic, complemented
18#13078584C211yesmaximal, characteristic, complemented
19#13078578C211yesmaximal, characteristic, complemented
20#13078563C211yesmaximal, characteristic, complemented
21#13078528C211yesmaximal, characteristic, complemented
22#13078302C211yesmaximal, characteristic, complemented
23#13078300C211yesmaximal, characteristic, complemented
24#13078269C211yesmaximal, characteristic, complemented
25#13078266C211yesmaximal, characteristic, complemented
26#13077908C211yesmaximal, characteristic, complemented
27#13077908C211yesmaximal, characteristic, complemented
28#13077847C211yesmaximal, characteristic, complemented
29D11×#451C211yesmaximal, characteristic, complemented
30#13077064C211yesmaximal, characteristic, complemented
31C11×#3201C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C22×Q8×D11C2211yescharacteristic
35C11×#537C2211yescharacteristic
36C11×#536C2211yescharacteristic
37#10623359C2211yescharacteristic
38#10623356C2211yescharacteristic
39#10623356C2211yescharacteristic
40#10623347C2211yescharacteristic
41C2×Q16×D11C2211yescharacteristic, complemented
42C2×Q16×D11C2211yescharacteristic, complemented
43C2×#66968C2211yescharacteristic, complemented
44C2×#66968C2211yescharacteristic, complemented
45C2×#66960C2211yescharacteristic
46C2×#66954C2211yescharacteristic
47#10623255—21no—
48D11×C4⋊Q8—21no—
49#10623206—21no—
50D11×#124—21no—
51D11×#123—21no—
52D11×#123—21no—
53#10623179—21no—
54#10623179—21no—
55#10623163—21no—
56#10623162—21no—
57#10623159C2211yescharacteristic
58#10623159C2211yescharacteristic
59#10623159C2211yescharacteristic
60#10623159C2211yescharacteristic
61#10623159C2211yescharacteristic
62#10623159C2211yescharacteristic
63D11×C22⋊Q8C2211yescharacteristic
64D11×C22⋊Q8C2211yescharacteristic
65D11×C22⋊Q8C2211yescharacteristic
66D11×C22⋊Q8C2211yescharacteristic
67D11×C22⋊Q8C2211yescharacteristic
68D11×C22⋊Q8C2211yescharacteristic
69#10623143—21no—
70#10623142—21no—
71#10623142—21no—
72#10623141—21no—
73#10623141—21no—
74#10623139C2211yescharacteristic
75#10623139C2211yescharacteristic
76#10623137C2211yescharacteristic
77#10623137C2211yescharacteristic
78#10623129—21no—
79#10623057C2211yescharacteristic
80D11×#117C2211yescharacteristic
81C2×#66950C2211yescharacteristic
82#10623035C2211yescharacteristic
83C11×#485C2211yescharacteristic, complemented
84C11×#484C2211yescharacteristic, complemented
85C11×#483C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#468C2211yescharacteristic, complemented
89C11×#467C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#451C2211yescharacteristic, complemented
94C11×#448C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622847C2211yescharacteristic
99#10622841C2211yescharacteristic, complemented
100#10622841C2211yescharacteristic, complemented
101#10622802C2211yescharacteristic, complemented
102#10622801C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic
104#10622799C2211yescharacteristic
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622787C2211yescharacteristic, complemented
108#10622786C2211yescharacteristic, complemented
109#10622786C2211yescharacteristic, complemented
110#10622784C2211yescharacteristic, complemented
111#10622783C2211yescharacteristic
112#10622783C2211yescharacteristic
113#10622750C2211yescharacteristic, complemented
114#10622750C2211yescharacteristic, complemented
115#10622739C2211yescharacteristic
116#10622729C2211yescharacteristic, complemented
117#10622729C2211yescharacteristic, complemented
118C2×(C2×D11)⋊C8C2211yescharacteristic
119#10622665C2211yescharacteristic, complemented
120#10622665C2211yescharacteristic, complemented
121#10622665C2211yescharacteristic, complemented
122#10622664C2211yescharacteristic, complemented
123#10622664C2211yescharacteristic, complemented
124#10622664C2211yescharacteristic, complemented
125#10622663C2211yescharacteristic, complemented
126#10622663C2211yescharacteristic, complemented
127#10622663C2211yescharacteristic, complemented
128#10622658C2211yescharacteristic, complemented
129#10622658C2211yescharacteristic, complemented
130#10622658C2211yescharacteristic, complemented
131#10622655C2211yescharacteristic, complemented
132#10622654C2211yescharacteristic, complemented
133#10622653C2211yescharacteristic, complemented
134#10622648C2211yescharacteristic, complemented
135#10622609C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137#10622584C2211yescharacteristic, complemented
138#10622583C2211yescharacteristic, complemented
139#10622501C2211yescharacteristic, complemented
140#10622500C2211yescharacteristic, complemented
141#10622500C2211yescharacteristic, complemented
142#10622497C2211yescharacteristic
143#10622497C2211yescharacteristic
144#10622497C2211yescharacteristic, complemented
145#10622494C2211yescharacteristic, complemented
146#10622493C2211yescharacteristic, complemented
147#10622481C2211yescharacteristic, complemented
148#10622481C2211yescharacteristic, complemented
149#10622480C2211yescharacteristic, complemented
150#10622475C2211yescharacteristic
151#10622475C2211yescharacteristic
152#10622475C2211yescharacteristic, complemented
153#10622474C2211yescharacteristic, complemented
154#10622473C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622429C2211yescharacteristic, complemented
157#10622429C2211yescharacteristic, complemented
158#10622428C2211yescharacteristic, complemented
159#10622427C2211yescharacteristic, complemented
160#10622426C2211yescharacteristic, complemented
161#10622426C2211yescharacteristic, complemented
162#10622426C2211yescharacteristic, complemented
163#10622422C2211yescharacteristic
164#10622422C2211yescharacteristic, complemented
165#10622421C2211yescharacteristic
166#10622421C2211yescharacteristic
167#10622421C2211yescharacteristic
168#10622421C2211yescharacteristic
169#10622421C2211yescharacteristic, complemented
170#10622421C2211yescharacteristic, complemented
171#10622418C2211yescharacteristic
172#10622418C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174#10622415C2211yescharacteristic, complemented
175#10622415C2211yescharacteristic, complemented
176#10622415C2211yescharacteristic, complemented
177D11×#103C2211yescharacteristic, complemented
178D11×#103C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic, complemented
181#10622393C2211yescharacteristic, complemented
182#10622391C2211yescharacteristic, complemented
183#10622390C2211yescharacteristic
184#10622387C2211yescharacteristic
185#10622385C2211yescharacteristic, complemented
186#10622385C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622352C2211yescharacteristic, complemented
189#10622352C2211yescharacteristic, complemented
190#10622352C2211yescharacteristic, complemented
191#10622340C2211yescharacteristic
192#10622340C2211yescharacteristic
193#10622340C2211yescharacteristic
194#10622340C2211yescharacteristic
195#10622339C2211yescharacteristic
196#10622339C2211yescharacteristic
197D11×C22⋊C8C2211yescharacteristic
198D11×C22⋊C8C2211yescharacteristic
199#10622336C2211yescharacteristic, complemented
200#10622336C2211yescharacteristic, complemented
201#10622336C2211yescharacteristic, complemented
202#10622336C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206#67043—42no—
207#67043—42no—
208#41×D11—42no—
209#41×D11—42no—
210C2×#4343D411yescharacteristic
211C2×Q8×D11—21no—
212C2×Q8×D11—21no—
213C2×Q8×D11—42no—
214C2×Q8×D11—42no—
215C2×Q8×D11D411yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×Q8×D11C2311yescharacteristic
221C2×Q8×D11C2311yescharacteristic
222C2×#4341—21no—
223C2×#4341—21no—
224C2×#4341D411yescharacteristic
225C2×#4341D411yescharacteristic
226C2×#4341D411yescharacteristic
227C2×#4341C2311yescharacteristic
228C2×#4341C2311yescharacteristic
229C2×D4×D11D411yescharacteristic
230C2×D4×D11D411yescharacteristic
231C2×D4×D11D411yescharacteristic
232C2×#4339—21no—
233C2×#4339C2311yescharacteristic
234C2×#4339C2311yescharacteristic
235C2×#4339C2311yescharacteristic
236C22×C4×D11—21no—
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×Dic22—21no—
241C22×Dic22—21no—
242C22×Dic22C2311yescharacteristic
243C22×Dic22C2311yescharacteristic
244C2×C11×Q16C2311yescharacteristic
245C2×C11×Q16C2311yescharacteristic
246C2×C11×SD16C2311yescharacteristic
247C2×C11×SD16C2311yescharacteristic
248C2×C11×M16C2311yescharacteristic
249C22×C8×C11C2311yescharacteristic
250C11×C4⋊Q8—21no—
251C11×#124—21no—
252C11×#123—21no—
253C11×#123—21no—
254C11×C22⋊Q8—21no—
255C11×C22⋊Q8C2311yescharacteristic
256C11×C22⋊Q8C2311yescharacteristic
257C11×C22⋊Q8C2311yescharacteristic
258C11×C22⋊Q8C2311yescharacteristic
259C11×C22⋊Q8C2311yescharacteristic
260C11×C22⋊Q8C2311yescharacteristic
261C11×#121—21no—
262C11×#121—21no—
263C11×#121—21no—
264C11×#121C2311yescharacteristic
265C11×#121C2311yescharacteristic
266C11×#117C2311yescharacteristic
267C2×C11×C4⋊C4C2311yescharacteristic
268#67000—21no—
269#66999C2311yescharacteristic
270#66999C2311yescharacteristic
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66997—21no—
276#66997—21no—
277#66997—21no—
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281C2×#4326C2311yescharacteristic
282C2×#4326C2311yescharacteristic
283C2×#4326C2311yescharacteristic
284#66992—21no—
285#66992—21no—
286#66991—21no—
287#66991—21no—
288#66991C2311yescharacteristic
289#66991C2311yescharacteristic
290#66990—21no—
291#66990—21no—
292#66990—21no—
293#66989—21no—
294#66989—21no—
295#66988—21no—
296#66988—21no—
297#66988—21no—
298#66988—21no—
299#66988—21no—
300D4×Dic11—21no—
301D4×Dic11—21no—
302C2×#4324C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304#66982—21no—
305#66982—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C2×(C2×D11)⋊C4—21no—
311#66979C2311yescharacteristic
312#66979C2311yescharacteristic
313C2×C4⋊Dic11—21no—
314#66977C2311yescharacteristic
315#66977C2311yescharacteristic
316#66977C2311yescharacteristic
317#66977C2311yescharacteristic
318#66977C2311yescharacteristic
319#66977C2311yescharacteristic
320#66977C2311yescharacteristic
321#66977C2311yescharacteristic
322C2×#4318C2311yescharacteristic
323C22×C11⋊C8C2311yescharacteristic
324Q16×D11—42no—
325Q16×D11—42no—
326#66968—42no—
327#66968—42no—
328#66960—42no—
329C2×Dic44C2311yescharacteristic
330C2×Dic44C2311yescharacteristic
331C2×Dic44C2311yescharacteristic
332C2×Dic44C2311yescharacteristic
333#66954—42no—
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×C8×D11C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66950—21no—
343#66950—21no—
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66950C2311yescharacteristic
349#66950C2311yescharacteristic
350#66950C2311yescharacteristic
351#66950C2311yescharacteristic
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66949—21no—
356#66949—21no—
357#66949—21no—
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66946—21no—
365#66945C2311yescharacteristic
366#66945C2311yescharacteristic
367#66945C2311yescharacteristic
368#66945C2311yescharacteristic
369C4⋊C4×D11—21no—
370C4⋊C4×D11—21no—
371C4⋊C4×D11—21no—
372C4⋊C4×D11—21no—
373C4⋊C4×D11—21no—
374C4⋊C4×D11—21no—
375C4⋊C4×D11C2311yescharacteristic
376C4⋊C4×D11C2311yescharacteristic
377C4⋊C4×D11C2311yescharacteristic
378C4⋊C4×D11C2311yescharacteristic
379#66941—21no—
380#66941—21no—
381#66941—21no—
382#66941—21no—
383#66941—21no—
384#66941—21no—
385#66940—21no—
386#66939—21no—
387#66939—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66938—21no—
393#66938—21no—
394#66937—21no—
395#66937—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66936—21no—
401#66936—21no—
402#66936—21no—
403#66936—21no—
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11—21no—
413#66931—21no—
414#66931—21no—
415#66931—21no—
416#66931—21no—
417#66931—21no—
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66930—21no—
422#66928—21no—
423#66925—21no—
424C42×D11—21no—
425#66922—21no—
426C11×#107C2311yescharacteristic
427C11×#107C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66882C2311yescharacteristic
463#66882C2311yescharacteristic
464#66881C2311yescharacteristic
465#66881C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60759—111nomaximal, Sylow
491C23×D11C2×D411yescharacteristic
492C23×D11C2×D411yescharacteristic
493C23×D11C2×D411yescharacteristic
494C11×#41—41no—
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C2×Q8×C11—21no—
499C2×Q8×C11—41no—
500C2×Q8×C11—41no—
501C2×Q8×C11C2×D411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11C2×D411yescharacteristic
509C2×D4×C11C2×D411yescharacteristic
510C2×D4×C11C2×D411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11C2411yescharacteristic
516C22×C4×C11C2411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C2×C22⋊D11C2×D411yescharacteristic
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11C2×D411yescharacteristic
533C22×Dic11C2×D411yescharacteristic
534C22×Dic11C2×D411yescharacteristic
535#4343—42no—
536Q8×D11—22no—
537Q8×D11—22no—
538Q8×D11—22no—
539Q8×D11—22no—
540Q8×D11—22no—
541Q8×D11—22no—
542Q8×D11—41no—
543Q8×D11—41no—
544Q8×D11—41no—
545Q8×D11—41no—
546Q8×D11—41no—
547Q8×D11—41no—
548Q8×D11—42no—
549Q8×D11—44no—
550Q8×D11—44no—
551#4341—22no—
552#4341—22no—
553#4341—41no—
554#4341—41no—
555#4341—42no—
556#4341—42no—
557#4341—42no—
558#4341—44no—
559#4341—44no—
560D4×D11—42no—
561D4×D11—42no—
562D4×D11—42no—
563#4339—22no—
564#4339—22no—
565#4339—22no—
566#4339—22no—
567#4339—41no—
568#4339—41no—
569#4339—44no—
570C2×D44C2×D411yescharacteristic
571C2×D44C2×D411yescharacteristic
572C2×D44C2×D411yescharacteristic
573C2×C4×D11—22no—
574C2×C4×D11—22no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—41no—
586C2×C4×D11—41no—
587C2×C4×D11—41no—
588C2×C4×D11—41no—
589C2×C4×D11—44no—
590C2×C4×D11C2×D411yescharacteristic
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22—21no—
608C2×Dic22—41no—
609C2×Dic22—41no—
610C2×Dic22—41no—
611C2×Dic22—41no—
612C2×Dic22—44no—
613C2×Dic22—44no—
614C2×Dic22C2×D411yescharacteristic
615C2×Dic22C2×D411yescharacteristic
616C2×Dic22C2×D411yescharacteristic
617C2×Dic22C2411yescharacteristic
618C2×Dic22C2411yescharacteristic
619C2×Dic22C2411yescharacteristic
620C2×Dic22C2411yescharacteristic
621C11×Q16—41no—
622C11×Q16—41no—
623C11×SD16—41no—
624C11×SD16—41no—
625C11×M16—41no—
626C2×C8×C11—41no—
627C2×C8×C11C2411yescharacteristic
628C2×C8×C11C2411yescharacteristic
629C2×C8×C11C2411yescharacteristic
630C2×C8×C11C2411yescharacteristic
631C11×C4⋊C4—21no—
632C11×C4⋊C4—21no—
633C11×C4⋊C4—21no—
634C11×C4⋊C4—21no—
635C11×C4⋊C4—21no—
636C11×C4⋊C4—21no—
637C11×C4⋊C4—21no—
638C11×C4⋊C4C2411yescharacteristic
639C11×C4⋊C4C2411yescharacteristic
640C11×C4⋊C4C2411yescharacteristic
641C11×C4⋊C4C2411yescharacteristic
642C11×C22⋊C4—21no—
643C11×C22⋊C4—21no—
644C11×C22⋊C4—21no—
645C11×C22⋊C4—21no—
646C11×C22⋊C4—21no—
647C11×C22⋊C4—21no—
648C11×C22⋊C4—21no—
649C11×C22⋊C4—21no—
650C11×C22⋊C4—21no—
651C42×C11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11—21no—
656C22⋊Dic11—21no—
657C22⋊Dic11—21no—
658C22⋊Dic11—21no—
659C22⋊Dic11—21no—
660C22⋊Dic11—21no—
661C22⋊Dic11—21no—
662C22⋊Dic11—21no—
663C22⋊Dic11—21no—
664#4326—41no—
665#4326—41no—
666#4326—41no—
667#4326—41no—
668#4326—41no—
669#4326—41no—
670#4324—41no—
671#4324—41no—
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)⋊C4—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11C2411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719Dic11⋊C4—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11—21no—
726#4318—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732Dic44—41no—
733Dic44—41no—
734Dic44—41no—
735Dic44—41no—
736#4313—22no—
737#4313—22no—
738#4313—41no—
739#4313—41no—
740C8×D11—22no—
741C8×D11—22no—
742C8×D11—41no—
743C8×D11—41no—
744#3489—111no—
745C2×#536—111no—
746#3202—111no—
747#3202—111no—
748#3202—111no—
749#3202—111no—
750#3201—111no—
751#3201—111no—
752#3201—111no—
753#3201D1111yescharacteristic, complemented
754#3196—111no—
755#3196—111no—
756#3195—111no—
757#3195—111no—
758#3190—111no—
759#3190—111no—
760#3189—111no—
761#3189—111no—
762#3097—111no—
763#3097—111no—
764#3095—111no—
765#3091—111no—
766#3063—111no—
767#3063—111no—
768#3059—111no—
769#3059—111no—
770#3011—111no—
771#3011—111no—
772#3004—111no—
773C2×#451—111no—
774#2880—111no—
775C23×C11—21no—
776C23×C11C22×D411yescharacteristic
777C23×C11C22×D411yescharacteristic
778C23×C11C22×D411yescharacteristic
779C22×D11—22no—
780C22×D11—22no—
781C22×D11—22no—
782C22×D11—22no—
783C22×D11—41no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11—41no—
787C22×D11—41no—
788C22×D11C22×D411yescharacteristic
789C22×D11C22×D411yescharacteristic
790C22×D11C22×D411yescharacteristic
791C22×D11C22×D411yescharacteristic
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—41no—
799Q8×C11—42no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—41no—
803D4×C11—41no—
804D4×C11—41no—
805D4×C11—42no—
806D4×C11—81no—
807D4×C11—81no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—42no—
822C2×C4×C11—42no—
823C2×C4×C11—81no—
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C2511yescharacteristic
828C22⋊D11—22no—
829C22⋊D11—22no—
830C22⋊D11—22no—
831C22⋊D11—22no—
832C22⋊D11—41no—
833C22⋊D11—41no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—81no—
838C2×Dic11—22no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—41no—
848C2×Dic11—41no—
849C2×Dic11—42no—
850C2×Dic11—42no—
851C2×Dic11—42no—
852C2×Dic11—42no—
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857D44—22no—
858D44—22no—
859D44—41no—
860C4×D11—22no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—22no—
868C4×D11—41no—
869C4×D11—41no—
870C4×D11—41no—
871C4×D11—41no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—42no—
880C4×D11—81no—
881C4×D11—81no—
882C4×D11H(5,𝔽2)12yes—
883C4×D11H(5,𝔽2)12yes—
884Dic22—22no—
885Dic22—22no—
886Dic22—21no—
887Dic22—21no—
888Dic22—21no—
889Dic22—21no—
890Dic22—21no—
891Dic22—21no—
892Dic22—21no—
893Dic22—21no—
894Dic22—41no—
895Dic22—42no—
896Dic22—42no—
897Dic22—42no—
898Dic22—42no—
899Dic22—42no—
900Dic22—42no—
901Dic22—42no—
902Dic22—42no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C2×2−1+4—111no—
912C22×#41—111no—
913C23×Q8—111no—
914C2×#137—111no—
915C2×#137—111no—
916C22×Q16—111no—
917C22×Q16—111no—
918C2×#131—111no—
919C2×#131—111no—
920D4×Q8—221no—
921#548—221no—
922#547—221no—
923#547—221no—
924#547—221no—
925#546—221no—
926#546—221no—
927#546—221no—
928#537—111no—
929#537—111no—
930#537C2×D1111yescharacteristic
931#536—111no—
932#536—111no—
933#536—111no—
934#536—111no—
935#536—111no—
936#536—111no—
937#536—111no—
938#536—111no—
939#536—111no—
940#536—111no—
941#536—221no—
942#536—221no—
943#536—221no—
944#536—221no—
945#536C2×D1111yescharacteristic
946C2×C4⋊Q8—221no—
947C2×#124—221no—
948#525—111no—
949#525—111no—
950#525—111no—
951C2×#123—221no—
952C2×#123—221no—
953C2×C22⋊Q8—111no—
954C2×C22⋊Q8—111no—
955C2×C22⋊Q8—111no—
956C2×C22⋊Q8—111no—
957C2×C22⋊Q8—111no—
958C2×C22⋊Q8—111no—
959C2×C22⋊Q8—111no—
960#520—111no—
961C2×#117—111no—
962#485—111no—
963#485—111no—
964#485—111no—
965#485—111no—
966#485—111no—
967#485—111no—
968#485—111no—
969#485—111no—
970#485—111no—
971#485—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485C2×D1111yescharacteristic, complemented
976#484—111no—
977#484—111no—
978#484—111no—
979#484—111no—
980#484—111no—
981#484—111no—
982#484C2×D1111yescharacteristic, complemented
983#483—111no—
984#483—111no—
985#483—111no—
986#483—111no—
987#483—111no—
988#483—111no—
989#483C2×D1111yescharacteristic, complemented
990#482—111no—
991#482C2×D1111yescharacteristic, complemented
992#481—111no—
993#480—111no—
994#470—111no—
995#470—111no—
996#470—111no—
997#470—111no—
998#470—111no—
999#470—111no—
1000#470—111no—
1001#470—111no—
1002#470—111no—
1003#470—111no—
1004#470—111no—
1005#470C2×D1111yescharacteristic, complemented
1006#468—111no—
1007#468—111no—
1008#468—111no—
1009#468C2×D1111yescharacteristic, complemented
1010#467—111no—
1011#467—111no—
1012#467—111no—
1013#467—111no—
1014#467—111no—
1015#467—111no—
1016#467—111no—
1017#467—111no—
1018#467—111no—
1019#467—111no—
1020#467—111no—
1021#467C2×D1111yescharacteristic, complemented
1022#465—111no—
1023#465—111no—
1024#465—111no—
1025#465C2×D1111yescharacteristic, complemented
1026#452—111no—
1027#452—111no—
1028#452—111no—
1029#452—111no—
1030#452—111no—
1031#452—111no—
1032#452C2×D1111yescharacteristic, complemented
1033#452C2×D1111yescharacteristic, complemented
1034#451—111no—
1035#451—111no—
1036#451—111no—
1037#451—111no—
1038#451—111no—
1039#451—111no—
1040#451—111no—
1041#451—111no—
1042#451—111no—
1043#451—111no—
1044#451—111no—
1045#451—111no—
1046#451—111no—
1047#451—111no—
1048#451—111no—
1049#451—111no—
1050#451—111no—
1051#451—111no—
1052#451—111no—
1053#451C2×D1111yescharacteristic, complemented
1054#448—111no—
1055#448—111no—
1056#448—111no—
1057#448C2×D1111yescharacteristic, complemented
1058#428—111no—
1059#428—111no—
1060#427—111no—
1061#427—111no—
1062#419—111no—
1063#419—111no—
1064#419—111no—
1065#419—111no—
1066#416—111no—
1067#416—111no—
1068C2×#103—111no—
1069C2×#103—111no—
1070#408—111no—
1071#408—111no—
1072#408—111no—
1073#408—111no—
1074#408—111no—
1075#408C2×D1111yescharacteristic
1076#407—111no—
1077#407—111no—
1078#407—111no—
1079C2×C22⋊C8—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11C23×D411yescharacteristic
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—44no—
1106C2×D11—82no—
1107C2×D11—82no—
1108C2×D11#53412yes—
1109C2×D11#57812yes—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—21no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11—41no—
1120C4×C11C2×H(5,𝔽2)11yescharacteristic
1121C4×C11C2×H(5,𝔽2)11yescharacteristic
1122Dic11—21no—
1123Dic11—21no—
1124Dic11—21no—
1125Dic11—41no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132Dic11—41no—
1133Dic11#53412yes—
11342−1+4—442no—
11352−1+4—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—111no—
1145C2×#41—221no—
1146C2×#41—221no—
1147C2×#41—221no—
1148C2×#41—442no—
1149C2×#41—442no—
1150C2×#41C22×D1111yescharacteristic
1151C2×#41C22×D1111yescharacteristic
1152C22×Q8—111no—
1153C22×Q8—111no—
1154C22×Q8—111no—
1155C22×Q8—111no—
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—111no—
1160C22×Q8—111no—
1161C22×Q8—221no—
1162C22×Q8—221no—
1163C22×Q8—221no—
1164C22×Q8—221no—
1165C22×Q8—442no—
1166C22×Q8—442no—
1167C22×Q8C22×D1111yescharacteristic
1168C22×D4—111no—
1169C22×D4—111no—
1170C22×D4—111no—
1171C23×C4—111no—
1172C23×C4—111no—
1173C23×C4—111no—
1174C23×C4—221no—
1175#137—442no—
1176#137—442no—
1177C2×Q16—111no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—111no—
1184C2×Q16—111no—
1185C2×Q16—111no—
1186C2×Q16—111no—
1187C2×Q16—442no—
1188C2×Q16—442no—
1189C2×Q16C22×D1111yescharacteristic
1190C2×Q16C22×D1111yescharacteristic
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16C22×D1111yescharacteristic
1194C2×SD16C22×D1111yescharacteristic
1195#131—442no—
1196#131—442no—
1197C2×M16—111no—
1198C2×M16—111no—
1199C2×M16—111no—
1200C2×M16—111no—
1201C2×M16—111no—
1202C2×M16C22×D1111yescharacteristic
1203C22×C8—111no—
1204C22×C8—111no—
1205C22×C8—111no—
1206C22×C8—111no—
1207C22×C8—111no—
1208C22×C8C22×D1111yescharacteristic
1209C4⋊Q8—21no—
1210C4⋊Q8—221no—
1211C4⋊Q8—221no—
1212C4⋊Q8—221no—
1213C4⋊Q8—221no—
1214C4⋊Q8—221no—
1215C4⋊Q8—221no—
1216C4⋊Q8—221no—
1217C4⋊Q8—221no—
1218C4⋊Q8—221no—
1219C4⋊Q8—221no—
1220#124—21no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#124—221no—
1230#124—221no—
1231#123—21no—
1232#123—21no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
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—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256C22⋊Q8—21no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—111no—
1266C22⋊Q8—111no—
1267C22⋊Q8—111no—
1268C22⋊Q8—111no—
1269C22⋊Q8—111no—
1270C22⋊Q8—111no—
1271C22⋊Q8—111no—
1272C22⋊Q8—111no—
1273C22⋊Q8—111no—
1274C22⋊Q8—111no—
1275C22⋊Q8—111no—
1276C22⋊Q8—111no—
1277C22⋊Q8—111no—
1278C22⋊Q8—111no—
1279C22⋊Q8—221no—
1280C22⋊Q8—221no—
1281C22⋊Q8—221no—
1282C22⋊Q8—221no—
1283C22⋊Q8—221no—
1284C22⋊Q8—221no—
1285C22⋊Q8—221no—
1286C22⋊Q8—221no—
1287C22⋊Q8—221no—
1288C22⋊Q8—221no—
1289C22⋊Q8—221no—
1290C22⋊Q8—221no—
1291C22⋊Q8—221no—
1292C22⋊Q8—221no—
1293C22⋊Q8—221no—
1294C22⋊Q8—221no—
1295C22⋊Q8C22×D1111yescharacteristic
1296C22⋊Q8C22×D1111yescharacteristic
1297C22⋊Q8C22×D1111yescharacteristic
1298C22⋊Q8C22×D1111yescharacteristic
1299C22⋊Q8C22×D1111yescharacteristic
1300C22⋊Q8C22×D1111yescharacteristic
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—111no—
1305#121—111no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121C22×D1111yescharacteristic
1313#121C22×D1111yescharacteristic
1314#120—221no—
1315#120—221no—
1316#120—221no—
1317C4×Q8—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327#117—111no—
1328#117—111no—
1329#117—111no—
1330#117—111no—
1331#117—111no—
1332#117—111no—
1333#117—221no—
1334#117—221no—
1335#117C22×D1111yescharacteristic
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—111no—
1339C2×C4⋊C4—111no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4—221no—
1347C2×C4⋊C4C22×D1111yescharacteristic
1348C2×C22⋊C4—221no—
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×C42—221no—
1357#107—111no—
1358#107—111no—
1359#107—111no—
1360#107—111no—
1361#107—111no—
1362#107—111no—
1363#107C22×D1111yescharacteristic
1364#107C22×D1111yescharacteristic
1365#106—111no—
1366#106—111no—
1367#106—111no—
1368#106—111no—
1369#106—111no—
1370#106—111no—
1371#106C22×D1111yescharacteristic
1372#106C22×D1111yescharacteristic
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103—111no—
1393#103—111no—
1394#103—111no—
1395#103C22×D1111yescharacteristic
1396#103C22×D1111yescharacteristic
1397#103C22×D1111yescharacteristic
1398#103C22×D1111yescharacteristic
1399#103C22×D1111yescharacteristic
1400#103C22×D1111yescharacteristic
1401#102—111no—
1402#102—111no—
1403#102C22×D1111yescharacteristic
1404#102C22×D1111yescharacteristic
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⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8C22×D1111yescharacteristic
1418C22⋊C8C22×D1111yescharacteristic
1419C22⋊C8C22×D1111yescharacteristic
1420C22⋊C8C22×D1111yescharacteristic
1421C2×C11—41no—
1422C2×C11—41no—
1423C2×C11—41no—
1424C2×C11—81no—
1425C2×C11C2×#53411yescharacteristic
1426C2×C11C2×#57811yescharacteristic
1427C2×C11#358611yescharacteristic
1428D11—22no—
1429D11—22no—
1430D11—41no—
1431D11—41no—
1432C24—111no—
1433C24—111no—
1434C24—111no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—222no—
1440#41—222no—
1441#41—222no—
1442#41—222no—
1443#41—222no—
1444#41—222no—
1445#41—441no—
1446#41—441no—
1447#41—444no—
1448#41—441no—
1449#41—441no—
1450#41—442no—
1451#41—442no—
1452#41—442no—
1453#41—442no—
1454#41—444no—
1455#41—444no—
1456C2×Q8—21no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—111no—
1460C2×Q8—111no—
1461C2×Q8—111no—
1462C2×Q8—111no—
1463C2×Q8—111no—
1464C2×Q8—111no—
1465C2×Q8—111no—
1466C2×Q8—221no—
1467C2×Q8—221no—
1468C2×Q8—221no—
1469C2×Q8—221no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—222no—
1473C2×Q8—222no—
1474C2×Q8—222no—
1475C2×Q8—222no—
1476C2×Q8—222no—
1477C2×Q8—222no—
1478C2×Q8—221no—
1479C2×Q8—221no—
1480C2×Q8—441no—
1481C2×Q8—441no—
1482C2×Q8—441no—
1483C2×Q8—441no—
1484C2×Q8—444no—
1485C2×Q8—444no—
1486C2×Q8—441no—
1487C2×Q8—441no—
1488C2×Q8—441no—
1489C2×Q8—441no—
1490C2×Q8—441no—
1491C2×Q8—441no—
1492C2×Q8—442no—
1493C2×Q8—444no—
1494C2×Q8—444no—
1495C2×Q8D4×D1111yescharacteristic
1496C2×Q8C23×D1111yescharacteristic
1497C2×Q8C23×D1111yescharacteristic
1498C2×Q8C23×D1111yescharacteristic
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—111no—
1506C2×D4—111no—
1507C2×D4—111no—
1508C2×D4—111no—
1509C2×D4—111no—
1510C2×D4—111no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—442no—
1516C2×D4—442no—
1517C2×D4—442no—
1518C2×D4D4×D1111yescharacteristic
1519C2×D4D4×D1111yescharacteristic
1520C2×D4D4×D1111yescharacteristic
1521C2×D4C23×D1111yescharacteristic
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—111no—
1526C22×C4—111no—
1527C22×C4—111no—
1528C22×C4—111no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—222no—
1539C22×C4—222no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—441no—
1555C22×C4—441no—
1556C22×C4—441no—
1557C22×C4—441no—
1558C22×C4—444no—
1559C22×C4C23×D1111yescharacteristic
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—41no—
1563Q16—41no—
1564Q16—441no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568Q16—441no—
1569Q16—441no—
1570Q16—441no—
1571Q16—441no—
1572Q16—441no—
1573Q16—441no—
1574SD16—41no—
1575SD16—41no—
1576SD16—441no—
1577SD16—441no—
1578M16—41no—
1579M16—222no—
1580M16—222no—
1581M16—441no—
1582M16—441no—
1583M16—441no—
1584C2×C8—41no—
1585C2×C8—111no—
1586C2×C8—111no—
1587C2×C8—111no—
1588C2×C8—111no—
1589C2×C8—222no—
1590C2×C8—222no—
1591C2×C8—441no—
1592C2×C8—441no—
1593C2×C8—441no—
1594C2×C8C23×D1111yescharacteristic
1595C2×C8C23×D1111yescharacteristic
1596C2×C8C23×D1111yescharacteristic
1597C2×C8C23×D1111yescharacteristic
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—111no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4C23×D1111yescharacteristic
1636C4⋊C4C23×D1111yescharacteristic
1637C4⋊C4C23×D1111yescharacteristic
1638C4⋊C4C23×D1111yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
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—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4—221no—
1678C42—21no—
1679C42—221no—
1680C42—221no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C11#6075911yescharacteristic, complemented, Sylow
1686C23—21no—
1687C23—111no—
1688C23—111no—
1689C23—111no—
1690C23—111no—
1691C23—222no—
1692C23—222no—
1693C23—222no—
1694C23—222no—
1695C23—441no—
1696C23—441no—
1697C23—441no—
1698C23—441no—
1699C23—441no—
1700C23C2×D4×D1111yescharacteristic
1701C23C2×D4×D1111yescharacteristic
1702C23C2×D4×D1111yescharacteristic
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—41no—
1710Q8—42no—
1711Q8—222no—
1712Q8—222no—
1713Q8—221no—
1714Q8—221no—
1715Q8—221no—
1716Q8—221no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—441no—
1722Q8—442no—
1723Q8—442no—
1724Q8—442no—
1725Q8—442no—
1726Q8—442no—
1727Q8—442no—
1728Q8—442no—
1729Q8—442no—
1730D4—21no—
1731D4—21no—
1732D4—41no—
1733D4—41no—
1734D4—41no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—222no—
1739D4—222no—
1740D4—222no—
1741D4—222no—
1742D4—222no—
1743D4—222no—
1744D4—441no—
1745D4—441no—
1746D4—441no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—881no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—81no—
1767C2×C4—111no—
1768C2×C4—112no—
1769C2×C4—112no—
1770C2×C4—111no—
1771C2×C4—111no—
1772C2×C4—111no—
1773C2×C4—222no—
1774C2×C4—222no—
1775C2×C4—222no—
1776C2×C4—221no—
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—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—441no—
1791C2×C4—441no—
1792C2×C4—441no—
1793C2×C4—441no—
1794C2×C4—442no—
1795C2×C4—442no—
1796C2×C4—442no—
1797C2×C4—442no—
1798C2×C4—442no—
1799C2×C4—442no—
1800C2×C4—442no—
1801C2×C4—442no—
1802C2×C4—442no—
1803C2×C4—441no—
1804C2×C4—441no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—881no—
1809C2×C4—881no—
1810C2×C4C2×D4×D1111yescharacteristic
1811C2×C4C2×D4×D1111yescharacteristic
1812C2×C4C2×D4×D1111yescharacteristic
1813C2×C4C24×D1111yescharacteristic
1814C8—21no—
1815C8—21no—
1816C8—21no—
1817C8—21no—
1818C8—221no—
1819C8—221no—
1820C8—221no—
1821C8—221no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—112no—
1835C22—112no—
1836C22—221no—
1837C22—221no—
1838C22—221no—
1839C22—221no—
1840C22—221no—
1841C22—221no—
1842C22—221no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—444no—
1847C22—882no—
1848C22—882no—
1849C22C22×D4×D1111yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—112no—
1861C4—221no—
1862C4—221no—
1863C4—221no—
1864C4—441no—
1865C4—441no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4—441no—
1870C4—441no—
1871C4—441no—
1872C4D11×H(5,𝔽2)11yescharacteristic
1873C4D11×H(5,𝔽2)11yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—41no—
1877C2—81no—
1878C2—222no—
1879C2—222no—
1880C2—441no—
1881C2—441no—
1882C2D11×#53411yescharacteristic
1883C2D11×#57811yescharacteristic
1884C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3201C2
socleC22×C11C23×D4
prime radical#13082291C2
hypercenter#3201D11
hypocenterC11#60759
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
2. D11×#536C2semidirect
3. #13079511C2semidirect
4. #13079510C2semidirect
5. #13079509C2semidirect
6. #13079507C2semidirect
7. #13079496C2semidirect
8. #13079494C2semidirect
9. #13079492C2semidirect
10. #13079444C2semidirect
11. #13079441C2semidirect
12. #13079439C2semidirect
13. #13079436C2semidirect
14. #13079395C2semidirect
15. #13079392C2semidirect
16. #13079390C2semidirect
17. #13079387C2semidirect
18. #13078584C2semidirect
19. #13078578C2semidirect
20. #13078563C2semidirect
21. #13078528C2semidirect
22. #13078302C2semidirect
23. #13078300C2semidirect
24. #13078269C2semidirect
25. #13078266C2semidirect
26. #13077908C2semidirect
27. #13077908C2semidirect
28. #13077847C2semidirect
29. D11×#451C2semidirect
30. #13077064C2semidirect
31. C11×#3201C2semidirect
41. C2×Q16×D11C22semidirect
42. C2×Q16×D11C22semidirect
43. C2×#66968C22semidirect
44. C2×#66968C22semidirect
83. C11×#485C22semidirect
84. C11×#484C22semidirect
85. C11×#483C22semidirect
86. C11×#482C22semidirect
87. C11×#470C22semidirect
88. C11×#468C22semidirect
89. C11×#467C22semidirect
90. C11×#465C22semidirect
91. C11×#452C22semidirect
92. C11×#452C22semidirect
93. C11×#451C22semidirect
94. C11×#448C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
99. #10622841C22semidirect
100. #10622841C22semidirect
101. #10622802C22semidirect
102. #10622801C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622787C22semidirect
108. #10622786C22semidirect
109. #10622786C22semidirect
110. #10622784C22semidirect
113. #10622750C22semidirect
114. #10622750C22semidirect
116. #10622729C22semidirect
117. #10622729C22semidirect
119. #10622665C22semidirect
120. #10622665C22semidirect
121. #10622665C22semidirect
122. #10622664C22semidirect
123. #10622664C22semidirect
124. #10622664C22semidirect
125. #10622663C22semidirect
126. #10622663C22semidirect
127. #10622663C22semidirect
128. #10622658C22semidirect
129. #10622658C22semidirect
130. #10622658C22semidirect
131. #10622655C22semidirect
132. #10622654C22semidirect
133. #10622653C22semidirect
134. #10622648C22semidirect
135. #10622609C22semidirect
136. #10622609C22semidirect
137. #10622584C22semidirect
138. #10622583C22semidirect
139. #10622501C22semidirect
140. #10622500C22semidirect
141. #10622500C22semidirect
144. #10622497C22semidirect
145. #10622494C22semidirect
146. #10622493C22semidirect
147. #10622481C22semidirect
148. #10622481C22semidirect
149. #10622480C22semidirect
152. #10622475C22semidirect
153. #10622474C22semidirect
154. #10622473C22semidirect
155. #10622429C22semidirect
156. #10622429C22semidirect
157. #10622429C22semidirect
158. #10622428C22semidirect
159. #10622427C22semidirect
160. #10622426C22semidirect
161. #10622426C22semidirect
162. #10622426C22semidirect
164. #10622422C22semidirect
169. #10622421C22semidirect
170. #10622421C22semidirect
172. #10622418C22semidirect
173. #10622415C22semidirect
174. #10622415C22semidirect
175. #10622415C22semidirect
176. #10622415C22semidirect
177. D11×#103C22semidirect
178. D11×#103C22semidirect
179. #10622396C22semidirect
180. #10622396C22semidirect
181. #10622393C22semidirect
182. #10622391C22semidirect
185. #10622385C22semidirect
186. #10622385C22semidirect
187. #10622352C22semidirect
188. #10622352C22semidirect
189. #10622352C22semidirect
190. #10622352C22semidirect
199. #10622336C22semidirect
200. #10622336C22semidirect
201. #10622336C22semidirect
202. #10622336C22semidirect
753. #3201D11semidirect
975. #485C2×D11semidirect
982. #484C2×D11semidirect
989. #483C2×D11semidirect
991. #482C2×D11semidirect
1005. #470C2×D11semidirect
1009. #468C2×D11semidirect
1021. #467C2×D11semidirect
1025. #465C2×D11semidirect
1032. #452C2×D11semidirect
1033. #452C2×D11semidirect
1053. #451C2×D11semidirect
1057. #448C2×D11semidirect
1685. C11#60759semidirect

Maximal subgroups

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

subgroupindex
#130822912
D11×#5362
#130795112
#130795102
#130795092
#130795072
#130794962
#130794942
#130794922
#130794442
#130794412
#130794392
#130794362
#130793952
#130793922
#130793902
#130793872
#130785842
#130785782
#130785632
#130785282
#130783022
#130783002
#130782692
#130782662
#130779082
#130778472
D11×#4512
#130770642
C11×#32012
#6075911