Finite Group Databasebeta

← #15630941

Subgroups — #15630941

Order 2816.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#556C211yesmaximal, characteristic, complemented
2#13082100C211yesmaximal, characteristic
3#13080897C211yesmaximal, characteristic, complemented
4#13080894C211yesmaximal, characteristic, complemented
5#13080843C211yesmaximal, characteristic, complemented
6#13080840C211yesmaximal, characteristic, complemented
7#13080689C211yesmaximal, characteristic, complemented
8#13080684C211yesmaximal, characteristic, complemented
9#13080681C211yesmaximal, characteristic, complemented
10#13080676C211yesmaximal, characteristic, complemented
11#13080657C211yesmaximal, characteristic, complemented
12#13080652C211yesmaximal, characteristic, complemented
13#13080649C211yesmaximal, characteristic, complemented
14#13080553C211yesmaximal, characteristic, complemented
15#13080550C211yesmaximal, characteristic, complemented
16#13080529C211yesmaximal, characteristic, complemented
17#13080526C211yesmaximal, characteristic, complemented
18#13079008C211yesmaximal, characteristic, complemented
19#13078548C211yesmaximal, characteristic, complemented
20#13078544C211yesmaximal, characteristic, complemented
21#13078428C211yesmaximal, characteristic, complemented
22#13078245C211yesmaximal, characteristic, complemented
23#13078239C211yesmaximal, characteristic, complemented
24#13078086C211yesmaximal, characteristic, complemented
25#13077873C211yesmaximal, characteristic, complemented
26#13077871C211yesmaximal, characteristic, complemented
27#13077438C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29#13077131C211yesmaximal, characteristic, complemented
30#13077130C211yesmaximal, characteristic, complemented
31C11×#3311C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C11×#556C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623355C2211yescharacteristic
37D4×C22⋊D11C2211yescharacteristic
38C2×#66971C2211yescharacteristic, complemented
39C2×#66968C2211yescharacteristic
40C2×#66968C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C22×#4313C2211yescharacteristic, complemented
43#10623263C2211yescharacteristic, complemented
44D11×C4⋊Q8C2211yescharacteristic, complemented
45D11×#126—21no—
46D11×#126—21no—
47#10623233—21no—
48#10623233—21no—
49#10623208C2211yescharacteristic
50D11×#124—21no—
51#10623202—21no—
52#10623199C2211yescharacteristic
53#10623187—21no—
54#10623186—21no—
55#10623172C2211yescharacteristic
56#10623172C2211yescharacteristic, complemented
57#10623163C2211yescharacteristic
58#10623158C2211yescharacteristic
59D11×C22⋊Q8C2211yescharacteristic, complemented
60D11×C22⋊Q8C2211yescharacteristic, complemented
61#10623141—21no—
62#10623137C2211yescharacteristic
63#10623130C2211yescharacteristic
64#10623127—21no—
65#10623121—21no—
66#10623117—21no—
67#10623115C2211yescharacteristic, complemented
68C4×Q8×D11—21no—
69C4×Q8×D11C2211yescharacteristic, complemented
70#10623099—21no—
71#10623085C2211yescharacteristic
72#10623083C2211yescharacteristic
73C4×D4×D11C2211yescharacteristic
74#10623073C2211yescharacteristic, complemented
75C4×#4341C2211yescharacteristic
76#10623064C2211yescharacteristic
77#10623064C2211yescharacteristic, complemented
78D11×#117C2211yescharacteristic, complemented
79D11×#117C2211yescharacteristic, complemented
80#10623021—21no—
81C2×(C22⋊D11)⋊C4—21no—
82C11×#489C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#482C2211yescharacteristic, complemented
85C11×#476C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#452C2211yescharacteristic, complemented
90C11×#450C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622831C2211yescharacteristic, complemented
98#10622828C2211yescharacteristic, complemented
99#10622801C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622795C2211yescharacteristic, complemented
102#10622787C2211yescharacteristic, complemented
103#10622786C2211yescharacteristic, complemented
104#10622786C2211yescharacteristic, complemented
105#10622782C2211yescharacteristic, complemented
106#10622776C2211yescharacteristic, complemented
107SD16×Dic11C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622741C2211yescharacteristic
110#10622733C2211yescharacteristic, complemented
111#10622729C2211yescharacteristic, complemented
112#10622726C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622704C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622668C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622663C2211yescharacteristic, complemented
121#10622662C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622658C2211yescharacteristic, complemented
124#10622654C2211yescharacteristic, complemented
125#10622648C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622631C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622621C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622615C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622494C2211yescharacteristic, complemented
138#10622486C2211yescharacteristic, complemented
139#10622481C2211yescharacteristic, complemented
140#10622480C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622474C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145#10622467C2211yescharacteristic, complemented
146#10622467C2211yescharacteristic, complemented
147#10622463C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622450C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622428C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622426C2211yescharacteristic, complemented
155#10622421C2211yescharacteristic, complemented
156#10622420C2211yescharacteristic, complemented
157#10622416C2211yescharacteristic, complemented
158#10622416C2211yescharacteristic, complemented
159#10622416C2211yescharacteristic, complemented
160#10622415C2211yescharacteristic, complemented
161#10622415C2211yescharacteristic, complemented
162#10622415C2211yescharacteristic, complemented
163#10622406C2211yescharacteristic, complemented
164#10622405C2211yescharacteristic, complemented
165#10622405C2211yescharacteristic, complemented
166#10622403C2211yescharacteristic, complemented
167#10622397C2211yescharacteristic, complemented
168#10622396C2211yescharacteristic, complemented
169#10622396C2211yescharacteristic, complemented
170#10622393C2211yescharacteristic, complemented
171#10622392C2211yescharacteristic, complemented
172#10622389C2211yescharacteristic, complemented
173#10622385C2211yescharacteristic, complemented
174#10622385C2211yescharacteristic, complemented
175#10622385C2211yescharacteristic, complemented
176#10622385C2211yescharacteristic, complemented
177#10622384C2211yescharacteristic
178#10622384C2211yescharacteristic
179#10622384C2211yescharacteristic
180#10622384C2211yescharacteristic, complemented
181#10622384C2211yescharacteristic, complemented
182#10622384C2211yescharacteristic, complemented
183#10622383C2211yescharacteristic, complemented
184#10622383C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622372C2211yescharacteristic, complemented
189#10622372C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic
195#10622339C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622329C2211yescharacteristic, complemented
200#10622327C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207C23×Dic11—21no—
208#41×D11—24no—
209#41×D11—42no—
210C2×#4343C2311yescharacteristic
211C2×Q8×D11—21no—
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×#4341—24no—
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341—21no—
218C2×#4341—42no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×D4×D11—21no—
224C2×D4×D11D411yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#126—21no—
239C11×#126—21no—
240C11×#124—21no—
241C11×#124C2311yescharacteristic
242C11×#123—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×#121—21no—
247C11×#121C2311yescharacteristic
248C11×#120—21no—
249C4×Q8×C11—21no—
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257#67000—21no—
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260#66999C2311yescharacteristic
261Q8×Dic11—21no—
262Q8×Dic11C2311yescharacteristic
263#66997—21no—
264#66997C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269#66993—21no—
270#66993C2311yescharacteristic
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66991C2311yescharacteristic
276#66990—21no—
277#66990—21no—
278#66989—21no—
279#66988—21no—
280D4×Dic11—21no—
281D4×Dic11D411yescharacteristic
282D4×Dic11C2311yescharacteristic
283C2×#4324C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285#66983—21no—
286#66983C2311yescharacteristic
287#66982—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11C2311yescharacteristic
290C4×C22⋊D11C2311yescharacteristic
291C2×(C2×D11)⋊C4—21no—
292#66979C2311yescharacteristic
293#66979C2311yescharacteristic
294#66977C2311yescharacteristic
295#66977C2311yescharacteristic
296#66977C2311yescharacteristic
297C2×Dic11⋊C4—21no—
298C2×C4×Dic11—21no—
299C2×#4318C2311yescharacteristic
300C22×C11⋊C8C2311yescharacteristic
301#66971—42no—
302#66968—24no—
303#66968—42no—
304M16×D11—42no—
305C2×Dic44C2311yescharacteristic
306C2×Dic44C2311yescharacteristic
307C2×#4314C2311yescharacteristic
308C2×#4313—42no—
309C2×#4313C2311yescharacteristic
310C2×#4313C2311yescharacteristic
311C2×#4313C2311yescharacteristic
312C2×#4313C2311yescharacteristic
313C2×#4313C2311yescharacteristic
314C2×#4313C2311yescharacteristic
315C2×C8×D11C2311yescharacteristic
316C2×C8×D11C2311yescharacteristic
317#66951—21no—
318#66951—21no—
319#66951—21no—
320#66951—21no—
321#66951—21no—
322#66951—21no—
323#66950C2311yescharacteristic
324#66950C2311yescharacteristic
325#66950C2311yescharacteristic
326#66949—21no—
327#66949—21no—
328#66949—21no—
329#66949—21no—
330#66948C2311yescharacteristic
331#66947—21no—
332#66946—21no—
333#66946D411yescharacteristic
334#66945C2311yescharacteristic
335#66945C2311yescharacteristic
336#66945C2311yescharacteristic
337#66945C2311yescharacteristic
338#66945C2311yescharacteristic
339C4⋊C4×D11—21no—
340C4⋊C4×D11—21no—
341C4⋊C4×D11—21no—
342C4⋊C4×D11—21no—
343C4⋊C4×D11D411yescharacteristic
344C4⋊C4×D11C2311yescharacteristic
345C4⋊C4×D11C2311yescharacteristic
346C4⋊C4×D11C2311yescharacteristic
347#66941—21no—
348#66941—21no—
349#66941C2311yescharacteristic
350#66941C2311yescharacteristic
351#66940—21no—
352#66940—21no—
353#66940—21no—
354#66940—21no—
355#66940C2311yescharacteristic
356#66940C2311yescharacteristic
357#66939—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66938—21no—
362#66938—21no—
363#66938—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66936—21no—
369#66935—21no—
370#66935—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4D411yescharacteristic
381(C22⋊D11)⋊C4D411yescharacteristic
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11—21no—
385C22⋊C4×D11—21no—
386C22⋊C4×D11D411yescharacteristic
387C22⋊C4×D11D411yescharacteristic
388#66932—21no—
389#66932—21no—
390#66932—21no—
391#66932—21no—
392#66932—21no—
393#66932—21no—
394#66931—21no—
395#66931—21no—
396#66931—21no—
397#66931—21no—
398#66930—21no—
399#66930—21no—
400#66930—21no—
401#66929—21no—
402#66929—21no—
403#66928—21no—
404#66928C2311yescharacteristic
405C4×D44C2311yescharacteristic
406#66925—21no—
407#66925—21no—
408C42×D11—21no—
409C42×D11—21no—
410C42×D11—21no—
411C42×D11C2311yescharacteristic
412#66922C2311yescharacteristic
413C4×Dic22—21no—
414C4×Dic22—21no—
415C4×Dic22—21no—
416C4×Dic22—21no—
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455#66882C2311yescharacteristic
456#66882C2311yescharacteristic
457#66881C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61165—111nomaximal, Sylow
488C24×C11—21no—
489C23×D11—21no—
490C23×D11C2×D411yescharacteristic
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—41no—
494C2×Q8×C11—21no—
495C2×Q8×C11C2411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
497C2×D4×C11—22no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—41no—
502C2×D4×C11C2×D411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11C2411yescharacteristic
508C22×C4×C11C2411yescharacteristic
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—44no—
520C2×C22⋊D11—44no—
521C2×C22⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—44no—
530C22×Dic11C2×D411yescharacteristic
531C22×Dic11C2×D411yescharacteristic
532#4343—22no—
533#4343—22no—
534Q8×D11—22no—
535Q8×D11—22no—
536Q8×D11—22no—
537Q8×D11—41no—
538Q8×D11—44no—
539#4341—22no—
540#4341—22no—
541#4341—22no—
542#4341—22no—
543#4341—22no—
544#4341—41no—
545#4341—41no—
546#4341—44no—
547#4341—44no—
548#4341—44no—
549#4341#4114yes—
550D4×D11—22no—
551D4×D11—41no—
552D4×D11—44no—
553D4×D11—42no—
554#4339—22no—
555#4339—41no—
556#4339—44no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44C2×D411yescharacteristic
560C2×D44C2411yescharacteristic
561C2×C4×D11—22no—
562C2×C4×D11—22no—
563C2×C4×D11—22no—
564C2×C4×D11—22no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—44no—
573C2×C4×D11C2×D411yescharacteristic
574C2×C4×D11C2×D411yescharacteristic
575C2×C4×D11C2×D411yescharacteristic
576C2×C4×D11C2×D411yescharacteristic
577C2×C4×D11C2×D411yescharacteristic
578C2×C4×D11C2×D411yescharacteristic
579C2×C4×D11C2411yescharacteristic
580C2×C4×D11C2411yescharacteristic
581C2×C4×D11C2411yescharacteristic
582C2×Dic22—22no—
583C2×Dic22—21no—
584C2×Dic22—21no—
585C2×Dic22—21no—
586C2×Dic22—21no—
587C2×Dic22—21no—
588C2×Dic22—21no—
589C2×Dic22—41no—
590C2×Dic22C2411yescharacteristic
591C2×Dic22C2411yescharacteristic
592C2×Dic22C2411yescharacteristic
593C11×Q16—41no—
594C11×SD16—22no—
595C11×SD16—41no—
596C11×M16—41no—
597C2×C8×C11—41no—
598C2×C8×C11C2411yescharacteristic
599C2×C8×C11C2411yescharacteristic
600C2×C8×C11C2411yescharacteristic
601C2×C8×C11C2411yescharacteristic
602C11×C4⋊C4—21no—
603C11×C4⋊C4—21no—
604C11×C4⋊C4—21no—
605C11×C4⋊C4—21no—
606C11×C4⋊C4—21no—
607C11×C4⋊C4C2×D411yescharacteristic
608C11×C4⋊C4C2411yescharacteristic
609C11×C4⋊C4C2411yescharacteristic
610C11×C4⋊C4C2411yescharacteristic
611C11×C4⋊C4C2411yescharacteristic
612C11×C22⋊C4—21no—
613C11×C22⋊C4—21no—
614C11×C22⋊C4—21no—
615C11×C22⋊C4—21no—
616C11×C22⋊C4—21no—
617C11×C22⋊C4—21no—
618C11×C22⋊C4—21no—
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
621C11×C22⋊C4C2×D411yescharacteristic
622C11×C22⋊C4C2×D411yescharacteristic
623C42×C11—21no—
624C42×C11—21no—
625C42×C11—21no—
626C42×C11C2411yescharacteristic
627C22⋊Dic11—21no—
628C22⋊Dic11—21no—
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11C2×D411yescharacteristic
635C22⋊Dic11C2×D411yescharacteristic
636#4326—22no—
637#4326—41no—
638#4326—41no—
639#4325—41no—
640#4324—22no—
641#4324—41no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660(C2×D11)⋊C4C2×D411yescharacteristic
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11C2×D411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4C2×D411yescharacteristic
689Dic11⋊C4C2×D411yescharacteristic
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×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711Dic44—22no—
712Dic44—41no—
713#4314—41no—
714#4313—22no—
715#4313—22no—
716#4313—22no—
717#4313—22no—
718#4313—41no—
719#4313—41no—
720C8×D11—41no—
721C8×D11—41no—
722C2×#556—111no—
723D4×#41—111no—
724#3328—111no—
725#3328—111no—
726#3324—111no—
727#3324—111no—
728#3313—111no—
729#3313—111no—
730#3313—111no—
731#3313—111no—
732#3311—111no—
733#3311—111no—
734#3311—111no—
735#3311D1111yescharacteristic, complemented
736#3304—111no—
737#3304—111no—
738#3302—111no—
739#3302—111no—
740#3141—111no—
741#3093—111no—
742#3093—111no—
743#3079—111no—
744#3056—111no—
745#3056—111no—
746#3037—111no—
747#3007—111no—
748#3007—111no—
749C4×#137—111no—
750D4×M16—111no—
751#2896—111no—
752#2896—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11—42no—
756C23×C11—42no—
757C23×C11—81no—
758C23×C11C22×D411yescharacteristic
759C23×C11C22×D411yescharacteristic
760C22×D11—22no—
761C22×D11—22no—
762C22×D11—21no—
763C22×D11—41no—
764C22×D11—41no—
765C22×D11—41no—
766C22×D11—41no—
767C22×D11—42no—
768C22×D11—42no—
769C22×D11—81no—
770C22×D11C22×D411yescharacteristic
771C22×D11C22×D411yescharacteristic
772C22×D11C22×D411yescharacteristic
773Q8×C11—21no—
774Q8×C11—21no—
775Q8×C11—21no—
776Q8×C11—21no—
777Q8×C11—42no—
778D4×C11—21no—
779D4×C11—21no—
780D4×C11—21no—
781D4×C11—41no—
782D4×C11—42no—
783D4×C11—42no—
784D4×C11—81no—
785D4×C11C2×#4112yes—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—42no—
797C2×C4×C11—81no—
798C2×C4×C11C22×D411yescharacteristic
799C2×C4×C11C22×D411yescharacteristic
800C2×C4×C11C22×D411yescharacteristic
801C2×C4×C11C22×D411yescharacteristic
802C2×C4×C11C2511yescharacteristic
803C22⋊D11—24no—
804C22⋊D11—22no—
805C22⋊D11—22no—
806C22⋊D11—42no—
807C22⋊D11—42no—
808C22⋊D11—42no—
809C22⋊D11—42no—
810C22⋊D11—42no—
811C22⋊D11—42no—
812C22⋊D11—42no—
813C22⋊D11—42no—
814C22⋊D11—81no—
815C2×Dic11—21no—
816C2×Dic11—22no—
817C2×Dic11—22no—
818C2×Dic11—24no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—42no—
826C2×Dic11—42no—
827C2×Dic11—42no—
828C2×Dic11—42no—
829C2×Dic11—42no—
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835D44—21no—
836D44—21no—
837D44—41no—
838D44—42no—
839D44—81no—
840C4×D11—22no—
841C4×D11—22no—
842C4×D11—21no—
843C4×D11—21no—
844C4×D11—21no—
845C4×D11—21no—
846C4×D11—22no—
847C4×D11—22no—
848C4×D11—22no—
849C4×D11—41no—
850C4×D11—42no—
851C4×D11—42no—
852C4×D11—42no—
853C4×D11—42no—
854C4×D11—42no—
855C4×D11—42no—
856C4×D11—42no—
857C4×D11C2×#4112yes—
858C4×D11H(5,𝔽2)12yes—
859Dic22—21no—
860Dic22—21no—
861Dic22—21no—
862Dic22—21no—
863Dic22—21no—
864Dic22—42no—
865Dic22—42no—
866Dic22—42no—
867Dic22—42no—
868Dic22—42no—
869Dic22—42no—
870Dic22C2×#4112yes—
871C8×C11—21no—
872C8×C11—21no—
873C8×C11—21no—
874C8×C11—21no—
875C11⋊C8—21no—
876C11⋊C8—21no—
877C11⋊C8—21no—
878C11⋊C8—21no—
879C22×#41—111no—
880C22×#41—111no—
881C2×#137—111no—
882C2×#137—111no—
883C2×#137—111no—
884C22×M16—111no—
885C22×M16—111no—
886#556—111no—
887#556—111no—
888#556—111no—
889#556—111no—
890#556—111no—
891#556—111no—
892#556—111no—
893#556—221no—
894#556—221no—
895#556—221no—
896#556—221no—
897#556C2×D1111yescharacteristic, complemented
898#550—111no—
899D4×Q8—111no—
900#548—111no—
901#548—111no—
902#547—111no—
903#547—221no—
904#546—111no—
905#546—221no—
906#546—221no—
907#546C2×D1111yescharacteristic
908D42—111no—
909D42—221no—
910#532—111no—
911#532—221no—
912C2×C4⋊Q8—111no—
913C2×#126—221no—
914C2×#126—221no—
915C2×#124—221no—
916#525—111no—
917#525—111no—
918#525—221no—
919#525—221no—
920C2×C22⋊Q8—111no—
921C2×C22⋊Q8—111no—
922C4×#41—111no—
923C2×C4×Q8—111no—
924C2×C4×Q8—221no—
925C2×C4×D4—111no—
926C2×C4×D4—221no—
927C2×#117—111no—
928C2×#117—111no—
929#489—111no—
930#489—111no—
931#489—111no—
932#489C2×D1111yescharacteristic, complemented
933#487—111no—
934#487—111no—
935#486—111no—
936#486—111no—
937#485—111no—
938#485—111no—
939#485—111no—
940#485—111no—
941#485—111no—
942#485—111no—
943#485—111no—
944#485C2×D1111yescharacteristic, complemented
945#482—111no—
946#482—111no—
947#482—111no—
948#482—111no—
949#482—111no—
950#482—111no—
951#482—111no—
952#482C2×D1111yescharacteristic, complemented
953#477—111no—
954#477—111no—
955#476—111no—
956#476C2×D1111yescharacteristic, complemented
957#475—111no—
958#475—111no—
959#474—111no—
960#474—111no—
961#470—111no—
962#470—111no—
963#470—111no—
964#470C2×D1111yescharacteristic, complemented
965#468—111no—
966#468—111no—
967#468—111no—
968#468—111no—
969#467—111no—
970#467—111no—
971#467—111no—
972#467—111no—
973#465—111no—
974#465—111no—
975#465—111no—
976#465C2×D1111yescharacteristic, complemented
977#464—111no—
978#464—111no—
979#464—111no—
980#464C2×D1111yescharacteristic, complemented
981#462—111no—
982#462—111no—
983#460—111no—
984#460—111no—
985#452—111no—
986#452—111no—
987#452—111no—
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#452C2×D1111yescharacteristic, complemented
993#451—111no—
994#451—111no—
995#451—111no—
996#451—111no—
997#450—111no—
998#450—111no—
999#450—111no—
1000#450C2×D1111yescharacteristic, complemented
1001#441—111no—
1002#441—111no—
1003#440—111no—
1004#440C2×D1111yescharacteristic, complemented
1005C4×Q16—111no—
1006C4×Q16—111no—
1007C4×SD16—111no—
1008C4×SD16—111no—
1009#436—111no—
1010#436—111no—
1011#435—111no—
1012#435—111no—
1013#435—111no—
1014#435C2×D1111yescharacteristic, complemented
1015C8×D4—111no—
1016C8×D4—111no—
1017#428—111no—
1018#428—111no—
1019#428—111no—
1020#423—111no—
1021#419—111no—
1022#419—111no—
1023#419—111no—
1024#419—111no—
1025#419—111no—
1026#418—111no—
1027#418—111no—
1028#418—111no—
1029#418C2×D1111yescharacteristic, complemented
1030#417—111no—
1031#417—111no—
1032#417—111no—
1033#417—111no—
1034#417—111no—
1035#417—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#416—111no—
1040#416—111no—
1041#416—111no—
1042#416—111no—
1043#416—111no—
1044#416—111no—
1045#416—111no—
1046#416C2×D1111yescharacteristic, complemented
1047#407—111no—
1048#407—111no—
1049C4×M16—111no—
1050C22×C11—21no—
1051C22×C11—21no—
1052C22×C11—21no—
1053C22×C11—21no—
1054C22×C11—22no—
1055C22×C11—21no—
1056C22×C11—21no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—84no—
1063C22×C11C23×D411yescharacteristic
1064C2×D11—21no—
1065C2×D11—21no—
1066C2×D11—21no—
1067C2×D11—21no—
1068C2×D11—21no—
1069C2×D11—21no—
1070C2×D11—21no—
1071C2×D11—21no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11—41no—
1075C2×D11—82no—
1076C2×D11—82no—
1077C2×D11—84no—
1078C2×D11#54612yes—
1079C4×C11—21no—
1080C4×C11—21no—
1081C4×C11—21no—
1082C4×C11—21no—
1083C4×C11—41no—
1084C4×C11—41no—
1085C4×C11—41no—
1086C4×C11—41no—
1087C4×C11—41no—
1088C4×C11—41no—
1089C4×C11C22×#4111yescharacteristic
1090C4×C11C2×H(5,𝔽2)11yescharacteristic
1091Dic11—21no—
1092Dic11—22no—
1093Dic11—21no—
1094Dic11—21no—
1095Dic11—41no—
1096Dic11—41no—
1097Dic11—41no—
1098Dic11—41no—
1099Dic11—41no—
1100Dic11—41no—
1101Dic11#54612yes—
1102Dic11#57512yes—
1103C2×#41—111no—
1104C2×#41—111no—
1105C2×#41—111no—
1106C2×#41—111no—
1107C2×#41—111no—
1108C2×#41—111no—
1109C2×#41—221no—
1110C2×#41—221no—
1111C2×#41—221no—
1112C2×#41—221no—
1113C2×#41—224no—
1114C2×#41—224no—
1115C2×#41—442no—
1116C2×#41—442no—
1117C2×#41C22×D1111yescharacteristic
1118C22×Q8—111no—
1119C22×Q8—111no—
1120C22×Q8—111no—
1121C22×Q8—221no—
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—221no—
1125C22×D4—221no—
1126C22×D4—221no—
1127C22×D4C22×D1111yescharacteristic
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4—221no—
1131C23×C4—221no—
1132#137—224no—
1133#137—442no—
1134#137—442no—
1135C2×Q16—111no—
1136C2×Q16—111no—
1137C2×Q16—111no—
1138C2×Q16—111no—
1139C2×Q16—111no—
1140C2×Q16C22×D1111yescharacteristic
1141C2×SD16—111no—
1142C2×SD16—111no—
1143C2×SD16—111no—
1144C2×SD16—111no—
1145C2×SD16C22×D1111yescharacteristic
1146C2×SD16C22×D1111yescharacteristic
1147C2×M16—111no—
1148C2×M16—111no—
1149C2×M16—111no—
1150C2×M16—111no—
1151C2×M16—111no—
1152C2×M16—111no—
1153C2×M16—111no—
1154C2×M16—442no—
1155C2×M16—442no—
1156C2×M16C22×D1111yescharacteristic
1157C22×C8—111no—
1158C22×C8—111no—
1159C22×C8—111no—
1160C22×C8C22×D1111yescharacteristic
1161C4⋊Q8—111no—
1162C4⋊Q8—111no—
1163C4⋊Q8—111no—
1164C4⋊Q8—111no—
1165C4⋊Q8—221no—
1166C4⋊Q8—221no—
1167C4⋊Q8—221no—
1168C4⋊Q8C22×D1111yescharacteristic
1169#127—111no—
1170#127—221no—
1171#126—21no—
1172#126—21no—
1173#126—221no—
1174#126—221no—
1175#126—221no—
1176#126—221no—
1177#126—221no—
1178#126—221no—
1179#126—221no—
1180#126—221no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#126—221no—
1187#124—21no—
1188#124—111no—
1189#124—221no—
1190#124—221no—
1191#124—221no—
1192#124—221no—
1193#124—221no—
1194#124—221no—
1195#124—221no—
1196#124—221no—
1197#124—221no—
1198#124C22×D1111yescharacteristic
1199#123—21no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—111no—
1211C22⋊Q8—111no—
1212C22⋊Q8—111no—
1213C22⋊Q8—111no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8C22×D1111yescharacteristic
1223C22⋊Q8C22×D1111yescharacteristic
1224C22⋊Q8C22×D1111yescharacteristic
1225#121—21no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121C22×D1111yescharacteristic
1239#120—21no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245C4×Q8—21no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—221no—
1252C4×Q8—221no—
1253C4×Q8—221no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8—221no—
1258C4×Q8—221no—
1259C4×Q8—221no—
1260C4×Q8C22×D1111yescharacteristic
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4C22×D1111yescharacteristic
1282C4×D4C22×D1111yescharacteristic
1283#117—111no—
1284#117—111no—
1285#117—111no—
1286#117—111no—
1287#117—111no—
1288#117—111no—
1289#117—111no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117C22×D1111yescharacteristic
1296#117C22×D1111yescharacteristic
1297C2×C4⋊C4—111no—
1298C2×C4⋊C4—111no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4—221no—
1304C2×C4⋊C4—221no—
1305C2×C4⋊C4—221no—
1306C2×C22⋊C4—21no—
1307C2×C22⋊C4—111no—
1308C2×C22⋊C4—111no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C22⋊C4—221no—
1312C2×C22⋊C4—221no—
1313C2×C22⋊C4—221no—
1314C2×C42—111no—
1315C2×C42—221no—
1316C2×C42—221no—
1317C2×C42—221no—
1318C2×C42—221no—
1319#107—111no—
1320#107—111no—
1321#107—111no—
1322#107—111no—
1323#107—111no—
1324#107C22×D1111yescharacteristic
1325#106—111no—
1326#106—111no—
1327#106—111no—
1328#106—111no—
1329#106C22×D1111yescharacteristic
1330#106C22×D1111yescharacteristic
1331C4⋊C8—111no—
1332C4⋊C8—111no—
1333C4⋊C8—111no—
1334C4⋊C8C22×D1111yescharacteristic
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103—111no—
1340#103—111no—
1341#103—111no—
1342#103—111no—
1343#103—111no—
1344#103—111no—
1345#103—111no—
1346#103—111no—
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103C22×D1111yescharacteristic
1354#103C22×D1111yescharacteristic
1355#103C22×D1111yescharacteristic
1356#103C22×D1111yescharacteristic
1357#102—111no—
1358#102—111no—
1359#102—111no—
1360#102—111no—
1361#102—111no—
1362#102—111no—
1363#102—111no—
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102C22×D1111yescharacteristic
1370#102C22×D1111yescharacteristic
1371#102C22×D1111yescharacteristic
1372#102C22×D1111yescharacteristic
1373#102C22×D1111yescharacteristic
1374#102C22×D1111yescharacteristic
1375C22⋊C8—111no—
1376C22⋊C8—111no—
1377C22⋊C8—111no—
1378C22⋊C8—111no—
1379C22⋊C8—111no—
1380C22⋊C8—111no—
1381C22⋊C8C22×D1111yescharacteristic
1382C22⋊C8C22×D1111yescharacteristic
1383#97—111no—
1384#97C22×D1111yescharacteristic
1385C4×C8—111no—
1386C4×C8—111no—
1387C2×C11—41no—
1388C2×C11—41no—
1389C2×C11—42no—
1390C2×C11—81no—
1391C2×C11C2×#54611yescharacteristic
1392C2×C11C2×#57511yescharacteristic
1393C2×C11#358611yescharacteristic
1394D11—22no—
1395D11—41no—
1396D11—41no—
1397D11—81no—
1398C24—21no—
1399C24—111no—
1400C24—111no—
1401C24—221no—
1402#41—22no—
1403#41—41no—
1404#41—114no—
1405#41—222no—
1406#41—222no—
1407#41—222no—
1408#41—222no—
1409#41—222no—
1410#41—222no—
1411#41—222no—
1412#41—222no—
1413#41—441no—
1414#41—444no—
1415#41—444no—
1416#41—444no—
1417#41—441no—
1418#41—441no—
1419#41—444no—
1420C2×Q8—21no—
1421C2×Q8—111no—
1422C2×Q8—111no—
1423C2×Q8—111no—
1424C2×Q8—221no—
1425C2×Q8—221no—
1426C2×Q8—221no—
1427C2×Q8—221no—
1428C2×Q8—222no—
1429C2×Q8—222no—
1430C2×Q8—222no—
1431C2×Q8—221no—
1432C2×Q8—221no—
1433C2×Q8—222no—
1434C2×Q8—441no—
1435C2×Q8—441no—
1436C2×Q8—444no—
1437C2×Q8C23×D1111yescharacteristic
1438C2×Q8C23×D1111yescharacteristic
1439C2×D4—22no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—111no—
1445C2×D4—111no—
1446C2×D4—111no—
1447C2×D4—111no—
1448C2×D4—221no—
1449C2×D4—221no—
1450C2×D4—221no—
1451C2×D4—221no—
1452C2×D4—221no—
1453C2×D4—221no—
1454C2×D4—222no—
1455C2×D4—221no—
1456C2×D4—221no—
1457C2×D4—221no—
1458C2×D4—221no—
1459C2×D4—221no—
1460C2×D4—221no—
1461C2×D4—441no—
1462C2×D4—442no—
1463C2×D4—444no—
1464C2×D4—444no—
1465C2×D4—444no—
1466C2×D4D4×D1111yescharacteristic
1467C2×D4C23×D1111yescharacteristic
1468C2×D4C23×D1111yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—111no—
1472C22×C4—111no—
1473C22×C4—111no—
1474C22×C4—111no—
1475C22×C4—111no—
1476C22×C4—111no—
1477C22×C4—111no—
1478C22×C4—111no—
1479C22×C4—111no—
1480C22×C4—111no—
1481C22×C4—111no—
1482C22×C4—222no—
1483C22×C4—222no—
1484C22×C4—222no—
1485C22×C4—222no—
1486C22×C4—221no—
1487C22×C4—221no—
1488C22×C4—221no—
1489C22×C4—221no—
1490C22×C4—221no—
1491C22×C4—221no—
1492C22×C4—221no—
1493C22×C4—221no—
1494C22×C4—221no—
1495C22×C4—221no—
1496C22×C4—221no—
1497C22×C4—221no—
1498C22×C4—221no—
1499C22×C4—444no—
1500C22×C4—444no—
1501C22×C4C23×D1111yescharacteristic
1502C22×C4C23×D1111yescharacteristic
1503Q16—41no—
1504Q16—222no—
1505Q16—222no—
1506Q16—441no—
1507Q16—441no—
1508Q16—441no—
1509SD16—22no—
1510SD16—41no—
1511SD16—222no—
1512SD16—441no—
1513SD16—441no—
1514SD16—441no—
1515M16—41no—
1516M16—222no—
1517M16—222no—
1518M16—222no—
1519M16—222no—
1520M16—441no—
1521M16—441no—
1522M16—441no—
1523C2×C8—41no—
1524C2×C8—111no—
1525C2×C8—111no—
1526C2×C8—111no—
1527C2×C8—111no—
1528C2×C8—441no—
1529C2×C8—441no—
1530C2×C8—441no—
1531C2×C8C23×D1111yescharacteristic
1532C2×C8C23×D1111yescharacteristic
1533C2×C8C23×D1111yescharacteristic
1534C2×C8C23×D1111yescharacteristic
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—111no—
1541C4⋊C4—111no—
1542C4⋊C4—111no—
1543C4⋊C4—111no—
1544C4⋊C4—111no—
1545C4⋊C4—111no—
1546C4⋊C4—111no—
1547C4⋊C4—221no—
1548C4⋊C4—221no—
1549C4⋊C4—221no—
1550C4⋊C4—221no—
1551C4⋊C4—221no—
1552C4⋊C4—221no—
1553C4⋊C4—221no—
1554C4⋊C4—221no—
1555C4⋊C4—221no—
1556C4⋊C4—221no—
1557C4⋊C4—221no—
1558C4⋊C4—221no—
1559C4⋊C4—221no—
1560C4⋊C4—221no—
1561C4⋊C4—221no—
1562C4⋊C4—221no—
1563C4⋊C4—221no—
1564C4⋊C4—221no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4D4×D1111yescharacteristic
1570C4⋊C4C23×D1111yescharacteristic
1571C4⋊C4C23×D1111yescharacteristic
1572C4⋊C4C23×D1111yescharacteristic
1573C4⋊C4C23×D1111yescharacteristic
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—111no—
1584C22⋊C4—111no—
1585C22⋊C4—111no—
1586C22⋊C4—111no—
1587C22⋊C4—111no—
1588C22⋊C4—111no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4—221no—
1598C22⋊C4—221no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4—221no—
1604C22⋊C4—221no—
1605C22⋊C4—221no—
1606C22⋊C4—221no—
1607C22⋊C4—221no—
1608C22⋊C4—221no—
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4D4×D1111yescharacteristic
1612C22⋊C4D4×D1111yescharacteristic
1613C42—21no—
1614C42—21no—
1615C42—21no—
1616C42—111no—
1617C42—111no—
1618C42—111no—
1619C42—221no—
1620C42—221no—
1621C42—221no—
1622C42—221no—
1623C42—221no—
1624C42—221no—
1625C42—221no—
1626C42—221no—
1627C42—221no—
1628C42—221no—
1629C42—221no—
1630C42—221no—
1631C42C23×D1111yescharacteristic
1632C11#6116511yescharacteristic, complemented, Sylow
1633C23—21no—
1634C23—21no—
1635C23—42no—
1636C23—42no—
1637C23—81no—
1638C23—111no—
1639C23—111no—
1640C23—111no—
1641C23—222no—
1642C23—222no—
1643C23—221no—
1644C23—441no—
1645C23—441no—
1646C23—441no—
1647C23—441no—
1648C23—442no—
1649C23—442no—
1650C23—881no—
1651C23C2×D4×D1111yescharacteristic
1652C23C2×D4×D1111yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—42no—
1658Q8—112no—
1659Q8—221no—
1660Q8—221no—
1661Q8—221no—
1662Q8—221no—
1663Q8—221no—
1664Q8—442no—
1665Q8—442no—
1666Q8—442no—
1667Q8—442no—
1668Q8—442no—
1669Q8—442no—
1670D4—21no—
1671D4—21no—
1672D4—21no—
1673D4—41no—
1674D4—42no—
1675D4—42no—
1676D4—81no—
1677D4—222no—
1678D4—222no—
1679D4—224no—
1680D4—221no—
1681D4—221no—
1682D4—441no—
1683D4—442no—
1684D4—442no—
1685D4—442no—
1686D4—442no—
1687D4—442no—
1688D4—442no—
1689D4—442no—
1690D4—442no—
1691D4—442no—
1692D4—881no—
1693D4—881no—
1694D4#41×D1112yes—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—81no—
1707C2×C4—111no—
1708C2×C4—111no—
1709C2×C4—112no—
1710C2×C4—112no—
1711C2×C4—111no—
1712C2×C4—111no—
1713C2×C4—111no—
1714C2×C4—222no—
1715C2×C4—222no—
1716C2×C4—222no—
1717C2×C4—222no—
1718C2×C4—222no—
1719C2×C4—222no—
1720C2×C4—222no—
1721C2×C4—224no—
1722C2×C4—221no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—441no—
1734C2×C4—442no—
1735C2×C4—442no—
1736C2×C4—442no—
1737C2×C4—442no—
1738C2×C4—442no—
1739C2×C4—442no—
1740C2×C4—442no—
1741C2×C4—442no—
1742C2×C4—442no—
1743C2×C4—442no—
1744C2×C4—442no—
1745C2×C4—442no—
1746C2×C4C2×D4×D1111yescharacteristic
1747C2×C4C2×D4×D1111yescharacteristic
1748C2×C4C2×D4×D1111yescharacteristic
1749C2×C4C2×D4×D1111yescharacteristic
1750C2×C4C24×D1111yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—221no—
1756C8—221no—
1757C8—221no—
1758C8—221no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—22no—
1764C22—21no—
1765C22—21no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—84no—
1772C22—112no—
1773C22—221no—
1774C22—221no—
1775C22—221no—
1776C22—221no—
1777C22—221no—
1778C22—221no—
1779C22—221no—
1780C22—221no—
1781C22—441no—
1782C22—441no—
1783C22—441no—
1784C22—882no—
1785C22—882no—
1786C22—884no—
1787C22C22×D4×D1111yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—112no—
1799C4—112no—
1800C4—221no—
1801C4—221no—
1802C4—221no—
1803C4—222no—
1804C4—441no—
1805C4—441no—
1806C4—441no—
1807C4—441no—
1808C4—441no—
1809C4—441no—
1810C4C2×#41×D1111yescharacteristic
1811C4D11×H(5,𝔽2)11yescharacteristic
1812C2—41no—
1813C2—41no—
1814C2—42no—
1815C2—81no—
1816C2—222no—
1817C2—441no—
1818C2—441no—
1819C2—881no—
1820C2D11×#54611yescharacteristic
1821C2D11×#57511yescharacteristic
1822C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3311C2
socleC22×C11C23×D4
prime radical#13082100C2
hypercenter#3311D11
hypocenterC11#61165
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. D11×#556C2semidirect
3. #13080897C2semidirect
4. #13080894C2semidirect
5. #13080843C2semidirect
6. #13080840C2semidirect
7. #13080689C2semidirect
8. #13080684C2semidirect
9. #13080681C2semidirect
10. #13080676C2semidirect
11. #13080657C2semidirect
12. #13080652C2semidirect
13. #13080649C2semidirect
14. #13080553C2semidirect
15. #13080550C2semidirect
16. #13080529C2semidirect
17. #13080526C2semidirect
18. #13079008C2semidirect
19. #13078548C2semidirect
20. #13078544C2semidirect
21. #13078428C2semidirect
22. #13078245C2semidirect
23. #13078239C2semidirect
24. #13078086C2semidirect
25. #13077873C2semidirect
26. #13077871C2semidirect
27. #13077438C2semidirect
28. #13077349C2semidirect
29. #13077131C2semidirect
30. #13077130C2semidirect
31. C11×#3311C2semidirect
34. C11×#556C22semidirect
38. C2×#66971C22semidirect
40. C2×#66968C22semidirect
41. C2×M16×D11C22semidirect
42. C22×#4313C22semidirect
43. #10623263C22semidirect
44. D11×C4⋊Q8C22semidirect
56. #10623172C22semidirect
59. D11×C22⋊Q8C22semidirect
60. D11×C22⋊Q8C22semidirect
67. #10623115C22semidirect
69. C4×Q8×D11C22semidirect
74. #10623073C22semidirect
77. #10623064C22semidirect
78. D11×#117C22semidirect
79. D11×#117C22semidirect
82. C11×#489C22semidirect
83. C11×#485C22semidirect
84. C11×#482C22semidirect
85. C11×#476C22semidirect
86. C11×#470C22semidirect
87. C11×#465C22semidirect
88. C11×#464C22semidirect
89. C11×#452C22semidirect
90. C11×#450C22semidirect
91. C11×#440C22semidirect
92. C11×#435C22semidirect
93. C11×#418C22semidirect
94. C11×#416C22semidirect
95. #10622852C22semidirect
96. #10622846C22semidirect
97. #10622831C22semidirect
98. #10622828C22semidirect
99. #10622801C22semidirect
100. #10622799C22semidirect
101. #10622795C22semidirect
102. #10622787C22semidirect
103. #10622786C22semidirect
104. #10622786C22semidirect
105. #10622782C22semidirect
106. #10622776C22semidirect
107. SD16×Dic11C22semidirect
108. #10622747C22semidirect
110. #10622733C22semidirect
111. #10622729C22semidirect
112. #10622726C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622704C22semidirect
115. #10622702C22semidirect
116. #10622668C22semidirect
117. #10622667C22semidirect
118. #10622665C22semidirect
119. #10622664C22semidirect
120. #10622663C22semidirect
121. #10622662C22semidirect
122. #10622660C22semidirect
123. #10622658C22semidirect
124. #10622654C22semidirect
125. #10622648C22semidirect
126. #10622643C22semidirect
127. #10622641C22semidirect
128. #10622631C22semidirect
129. #10622624C22semidirect
130. #10622621C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622615C22semidirect
134. #10622609C22semidirect
135. #10622501C22semidirect
136. #10622498C22semidirect
137. #10622494C22semidirect
138. #10622486C22semidirect
139. #10622481C22semidirect
140. #10622480C22semidirect
141. #10622479C22semidirect
142. #10622477C22semidirect
143. #10622474C22semidirect
144. #10622474C22semidirect
145. #10622467C22semidirect
146. #10622467C22semidirect
147. #10622463C22semidirect
148. #10622458C22semidirect
149. #10622450C22semidirect
150. #10622449C22semidirect
151. #10622429C22semidirect
152. #10622428C22semidirect
153. #10622427C22semidirect
154. #10622426C22semidirect
155. #10622421C22semidirect
156. #10622420C22semidirect
157. #10622416C22semidirect
158. #10622416C22semidirect
159. #10622416C22semidirect
160. #10622415C22semidirect
161. #10622415C22semidirect
162. #10622415C22semidirect
163. #10622406C22semidirect
164. #10622405C22semidirect
165. #10622405C22semidirect
166. #10622403C22semidirect
167. #10622397C22semidirect
168. #10622396C22semidirect
169. #10622396C22semidirect
170. #10622393C22semidirect
171. #10622392C22semidirect
172. #10622389C22semidirect
173. #10622385C22semidirect
174. #10622385C22semidirect
175. #10622385C22semidirect
176. #10622385C22semidirect
180. #10622384C22semidirect
181. #10622384C22semidirect
182. #10622384C22semidirect
183. #10622383C22semidirect
184. #10622383C22semidirect
185. #10622375C22semidirect
186. #10622373C22semidirect
187. #10622373C22semidirect
188. #10622372C22semidirect
189. #10622372C22semidirect
190. #10622371C22semidirect
191. #10622352C22semidirect
192. #10622350C22semidirect
193. #10622346C22semidirect
195. #10622339C22semidirect
196. #10622339C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622329C22semidirect
200. #10622327C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
735. #3311D11semidirect
897. #556C2×D11semidirect
932. #489C2×D11semidirect
944. #485C2×D11semidirect
952. #482C2×D11semidirect
956. #476C2×D11semidirect
964. #470C2×D11semidirect
976. #465C2×D11semidirect
980. #464C2×D11semidirect
992. #452C2×D11semidirect
1000. #450C2×D11semidirect
1004. #440C2×D11semidirect
1014. #435C2×D11semidirect
1029. #418C2×D11semidirect
1046. #416C2×D11semidirect
1632. C11#61165semidirect

Maximal subgroups

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

subgroupindex
D11×#5562
#130821002
#130808972
#130808942
#130808432
#130808402
#130806892
#130806842
#130806812
#130806762
#130806572
#130806522
#130806492
#130805532
#130805502
#130805292
#130805262
#130790082
#130785482
#130785442
#130784282
#130782452
#130782392
#130780862
#130778732
#130778712
#130774382
#130773492
#130771312
#130771302
C11×#33112
#6116511