Finite Group Databasebeta

← #15647343

Subgroups — #15647343

Order 2816.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083136C211yesmaximal, characteristic, complemented
2#13082666C211yesmaximal, characteristic, complemented
3#13081684C211yesmaximal, characteristic, complemented
4#13081676C211yesmaximal, characteristic, complemented
5#13081408C211yesmaximal, characteristic, complemented
6#13080726C211yesmaximal, characteristic, complemented
7#13080724C211yesmaximal, characteristic, complemented
8#13080576C211yesmaximal, characteristic, complemented
9#13080574C211yesmaximal, characteristic, complemented
10#13080439C211yesmaximal, characteristic, complemented
11#13080437C211yesmaximal, characteristic, complemented
12#13080329C211yesmaximal, characteristic, complemented
13#13080325C211yesmaximal, characteristic, complemented
14#13080143C211yesmaximal, characteristic, complemented
15#13080136C211yesmaximal, characteristic, complemented
16#13080098C211yesmaximal, characteristic, complemented
17#13080091C211yesmaximal, characteristic, complemented
18#13080088C211yesmaximal, characteristic, complemented
19#13080085C211yesmaximal, characteristic, complemented
20#13079934C211yesmaximal, characteristic, complemented
21#13079713C211yesmaximal, characteristic, complemented
22#13079711C211yesmaximal, characteristic, complemented
23#13079620C211yesmaximal, characteristic, complemented
24#13078897C211yesmaximal, characteristic, complemented
25#13078889C211yesmaximal, characteristic, complemented
26#13078705C211yesmaximal, characteristic, complemented
27#13078156C211yesmaximal, characteristic, complemented
28#13078150C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077754C211yesmaximal, characteristic, complemented
31C11×#3373C211yesmaximal, characteristic, complemented
32C11×#559C2211yescharacteristic, complemented
33D4×Q8×C11C2211yescharacteristic, complemented
34#10623348—21no—
35C2×#66999—21no—
36C2×#66969C2211yescharacteristic, complemented
37C2×SD16×D11C2211yescharacteristic, complemented
38C2×#66965C2211yescharacteristic, complemented
39C2×#66964C2211yescharacteristic, complemented
40C2×#66964C2211yescharacteristic, complemented
41C2×D8×D11C2211yescharacteristic
42#10623264C2211yescharacteristic, complemented
43#10623264C2211yescharacteristic, complemented
44#10623261C2211yescharacteristic, complemented
45#10623261C2211yescharacteristic, complemented
46#10623259C2211yescharacteristic, complemented
47#10623257C2211yescharacteristic, complemented
48#10623248C2211yescharacteristic
49#10623246C2211yescharacteristic, complemented
50#10623214—21no—
51#10623209—21no—
52#10623208C2211yescharacteristic
53#10623207C2211yescharacteristic, complemented
54#10623205C2211yescharacteristic, complemented
55D11×#124C2211yescharacteristic
56#10623198—21no—
57#10623188—21no—
58#10623185—21no—
59#10623184—21no—
60#10623176—21no—
61#10623176—21no—
62#10623173—21no—
63#10623168—21no—
64#10623168—21no—
65#10623158—21no—
66#10623116C2211yescharacteristic, complemented
67#10623115C2211yescharacteristic, complemented
68#10623113C2211yescharacteristic, complemented
69#10623111C2211yescharacteristic
70#10623107C2211yescharacteristic
71#10623092C2211yescharacteristic, complemented
72#10623091—21no—
73#10623086C2211yescharacteristic, complemented
74#10623085C2211yescharacteristic, complemented
75#10623085C2211yescharacteristic, complemented
76#10623085C2211yescharacteristic, complemented
77#10623081—21no—
78D4×D44C2211yescharacteristic
79#10623079C2211yescharacteristic
80#10623077C2211yescharacteristic, complemented
81#10623077C2211yescharacteristic, complemented
82C4×D4×D11C2211yescharacteristic, complemented
83C11×#489C2211yescharacteristic, complemented
84C11×#489C2211yescharacteristic, complemented
85C11×#486C2211yescharacteristic, complemented
86C11×#476C2211yescharacteristic, complemented
87C11×#476C2211yescharacteristic, complemented
88C11×#475C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#459C2211yescharacteristic
92C11×#446C2211yescharacteristic, complemented
93C11×#442C2211yescharacteristic, complemented
94C11×#442C2211yescharacteristic, complemented
95C4×C11×SD16C2211yescharacteristic, complemented
96#10622786C2211yescharacteristic, complemented
97#10622778C2211yescharacteristic, complemented
98#10622771C2211yescharacteristic
99#10622769C2211yescharacteristic, complemented
100#10622766C2211yescharacteristic, complemented
101#10622763C2211yescharacteristic, complemented
102#10622707C2211yescharacteristic, complemented
103#10622702C2211yescharacteristic, complemented
104#10622702C2211yescharacteristic, complemented
105#10622701C2211yescharacteristic, complemented
106#10622697C2211yescharacteristic, complemented
107#10622697C2211yescharacteristic, complemented
108#10622688C2211yescharacteristic, complemented
109#10622687C2211yescharacteristic
110#10622673C2211yescharacteristic, complemented
111#10622672C2211yescharacteristic, complemented
112#10622670C2211yescharacteristic, complemented
113#10622667C2211yescharacteristic, complemented
114#10622643C2211yescharacteristic, complemented
115#10622641C2211yescharacteristic, complemented
116#10622637C2211yescharacteristic, complemented
117#10622632C2211yescharacteristic, complemented
118C4×#4324C2211yescharacteristic, complemented
119C4×#4324C2211yescharacteristic, complemented
120#10622629C2211yescharacteristic, complemented
121#10622629C2211yescharacteristic, complemented
122#10622629C2211yescharacteristic, complemented
123#10622628C2211yescharacteristic
124#10622627C2211yescharacteristic, complemented
125#10622627C2211yescharacteristic, complemented
126#10622627C2211yescharacteristic, complemented
127#10622483C2211yescharacteristic, complemented
128#10622481C2211yescharacteristic, complemented
129#10622478C2211yescharacteristic
130#10622477C2211yescharacteristic, complemented
131#10622477C2211yescharacteristic, complemented
132#10622477C2211yescharacteristic, complemented
133#10622477C2211yescharacteristic, complemented
134#10622476C2211yescharacteristic, complemented
135#10622476C2211yescharacteristic, complemented
136#10622475C2211yescharacteristic, complemented
137#10622467C2211yescharacteristic, complemented
138#10622467C2211yescharacteristic, complemented
139#10622461C2211yescharacteristic, complemented
140#10622458C2211yescharacteristic, complemented
141#10622458C2211yescharacteristic, complemented
142#10622457C2211yescharacteristic, complemented
143#10622457C2211yescharacteristic, complemented
144#10622454C2211yescharacteristic, complemented
145#10622452C2211yescharacteristic, complemented
146#10622452C2211yescharacteristic, complemented
147#10622449C2211yescharacteristic, complemented
148#10622449C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622424C2211yescharacteristic, complemented
154#10622423C2211yescharacteristic, complemented
155#10622421C2211yescharacteristic, complemented
156#10622421C2211yescharacteristic, complemented
157#10622420C2211yescharacteristic, complemented
158#10622418C2211yescharacteristic, complemented
159#10622416C2211yescharacteristic, complemented
160D11×#103C2211yescharacteristic, complemented
161#10622411C2211yescharacteristic, complemented
162#10622411C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic, complemented
164#10622399C2211yescharacteristic, complemented
165#10622396C2211yescharacteristic, complemented
166#10622396C2211yescharacteristic, complemented
167#10622395C2211yescharacteristic
168#10622394C2211yescharacteristic
169#10622394C2211yescharacteristic, complemented
170#10622391C2211yescharacteristic, complemented
171#10622391C2211yescharacteristic, complemented
172#10622391C2211yescharacteristic, complemented
173#10622390C2211yescharacteristic, complemented
174#10622390C2211yescharacteristic, complemented
175#10622389C2211yescharacteristic
176#10622389C2211yescharacteristic
177#10622389C2211yescharacteristic, complemented
178#10622389C2211yescharacteristic, complemented
179#10622386C2211yescharacteristic, complemented
180#10622386C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic, complemented
182#10622384C2211yescharacteristic, complemented
183D11×#102C2211yescharacteristic
184D11×#102C2211yescharacteristic, complemented
185D11×#102C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622380C2211yescharacteristic, complemented
188#10622375C2211yescharacteristic, complemented
189#10622375C2211yescharacteristic, complemented
190#10622374C2211yescharacteristic, complemented
191#10622329C2211yescharacteristic, complemented
192#10622328C2211yescharacteristic, complemented
193#10622325C2211yescharacteristic
194#10622324C2211yescharacteristic, complemented
195#10622322C2211yescharacteristic, complemented
196#10622319C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C22×Q8×C11—21no—
204C2×#4343—21no—
205C2×#4343C2311yescharacteristic
206C2×Q8×D11C2311yescharacteristic
207C2×#4341C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×D4×D11—21no—
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×#4339—21no—
216C22×D44—21no—
217C22×C4×D11—21no—
218C2×C11×SD16C2311yescharacteristic
219C2×C11×D8C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C11×C4⋊Q8C2311yescharacteristic
222C11×C4⋊Q8C2311yescharacteristic
223C11×C4⋊Q8C2311yescharacteristic
224C11×#127C2311yescharacteristic
225C11×#124—21no—
226C11×#124C2311yescharacteristic
227C11×#124C2311yescharacteristic
228C11×#123—21no—
229C11×#123—21no—
230C11×C22⋊Q8—21no—
231C11×C22⋊Q8—21no—
232C11×C22⋊Q8—21no—
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×D4×C11—21no—
236C4×D4×C11C2311yescharacteristic
237C4×D4×C11C2311yescharacteristic
238C4×D4×C11C2311yescharacteristic
239C4×D4×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241#67000—21no—
242#67000—21no—
243#67000—21no—
244#67000D411yescharacteristic
245#67000C2311yescharacteristic
246#66999—21no—
247#66999—21no—
248#66999—21no—
249#66999—21no—
250#66999—21no—
251#66999—21no—
252#66999—21no—
253#66999—21no—
254#66999—21no—
255#66999D411yescharacteristic
256#66999C2311yescharacteristic
257Q8×Dic11—21no—
258C2×#4326C2311yescharacteristic
259C2×#4326C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261#66993C2311yescharacteristic
262#66992—21no—
263#66992—21no—
264#66991—21no—
265#66991C2311yescharacteristic
266#66991C2311yescharacteristic
267#66990—21no—
268#66990—21no—
269#66990—21no—
270#66990—21no—
271#66989C2311yescharacteristic
272D4×Dic11C2311yescharacteristic
273C2×#4324C2311yescharacteristic
274C2×#4324C2311yescharacteristic
275C2×#4324C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4324C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282#66983—21no—
283#66983—21no—
284#66983—21no—
285#66983—21no—
286#66983—21no—
287#66982—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C2×(C2×D11)⋊C4—21no—
293C2×(C2×D11)⋊C4—21no—
294C2×(C2×D11)⋊C4—21no—
295C2×C4⋊Dic11—21no—
296#66977—21no—
297C2×Dic11⋊C4—21no—
298C2×Dic11⋊C4—21no—
299#66969—42no—
300SD16×D11—42no—
301#66965—42no—
302#66964—42no—
303#66964—42no—
304D8×D11—42no—
305C2×Dic44C2311yescharacteristic
306C2×Dic44C2311yescharacteristic
307C2×D88C2311yescharacteristic
308C2×D88C2311yescharacteristic
309C2×#4314C2311yescharacteristic
310C2×#4314C2311yescharacteristic
311C2×#4314C2311yescharacteristic
312C2×#4314C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4313C2311yescharacteristic
315C2×#4313C2311yescharacteristic
316C2×C8×D11C2311yescharacteristic
317C2×C8×D11C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319C2×C8×D11C2311yescharacteristic
320#66951—21no—
321#66951—21no—
322#66951—21no—
323#66951—21no—
324#66951D411yescharacteristic
325#66951D411yescharacteristic
326#66950—21no—
327#66950C2311yescharacteristic
328#66950C2311yescharacteristic
329#66950C2311yescharacteristic
330#66950C2311yescharacteristic
331#66950C2311yescharacteristic
332#66949—21no—
333#66948—21no—
334#66948D411yescharacteristic
335#66948C2311yescharacteristic
336#66948C2311yescharacteristic
337#66948C2311yescharacteristic
338#66948C2311yescharacteristic
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66947—21no—
344#66947—21no—
345#66947—21no—
346#66947D411yescharacteristic
347#66947D411yescharacteristic
348#66946—21no—
349#66946—21no—
350#66946—21no—
351#66946C2311yescharacteristic
352#66945—21no—
353#66945—21no—
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356C4⋊C4×D11C2311yescharacteristic
357#66943—21no—
358#66943—21no—
359#66943—21no—
360#66943D411yescharacteristic
361#66941C2311yescharacteristic
362#66940C2311yescharacteristic
363#66940C2311yescharacteristic
364#66939—21no—
365#66939—21no—
366#66939—21no—
367#66939—21no—
368#66939—21no—
369#66938—21no—
370#66938—21no—
371#66938—21no—
372#66938—21no—
373#66938—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66936—21no—
380#66935—21no—
381#66935—21no—
382#66935—21no—
383#66935—21no—
384#66935—21no—
385#66935—21no—
386#66935—21no—
387#66935—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395C22⋊C4×D11—21no—
396#66932—21no—
397#66931—21no—
398#66930—21no—
399#66930—21no—
400#66929—21no—
401#66928—21no—
402#66928—21no—
403#66928C2311yescharacteristic
404#66928C2311yescharacteristic
405#66928C2311yescharacteristic
406#66928C2311yescharacteristic
407#66927C2311yescharacteristic
408C4×D44—21no—
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414C4×D44C2311yescharacteristic
415#66925C2311yescharacteristic
416#66925C2311yescharacteristic
417C42×D11C2311yescharacteristic
418#66922C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#97C2311yescharacteristic
439C11×#97C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454#66881C2311yescharacteristic
455#66880C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481#66867C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62018—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C2×Q8×C11—21no—
490C2×Q8×C11—21no—
491C2×Q8×C11—21no—
492C2×Q8×C11—82no—
493C2×Q8×C11C2×D411yescharacteristic
494C2×Q8×C11C2411yescharacteristic
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11C2411yescharacteristic
498C2×D4×C11C2411yescharacteristic
499C2×D4×C11C2411yescharacteristic
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
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—
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11—21no—
519C22×Dic11—21no—
520#4343—41no—
521#4343—41no—
522#4343—82no—
523Q8×D11—41no—
524Q8×D11—41no—
525#4341—22no—
526#4341—22no—
527#4341—41no—
528#4341—41no—
529#4341—41no—
530#4341—41no—
531D4×D11—22no—
532D4×D11—41no—
533D4×D11—41no—
534D4×D11—41no—
535D4×D11—41no—
536D4×D11—41no—
537D4×D11—41no—
538D4×D11—41no—
539D4×D11—82no—
540#4339—82no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—21no—
546C2×D44—21no—
547C2×D44—21no—
548C2×D44—82no—
549C2×D44C2×D411yescharacteristic
550C2×D44C2×D411yescharacteristic
551C2×D44C2×D411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×D44C2411yescharacteristic
554C2×D44C2411yescharacteristic
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—82no—
565C2×C4×D11C2×D411yescharacteristic
566C2×C4×D11C2×D411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×C4×D11C2411yescharacteristic
569C2×C4×D11C2411yescharacteristic
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22C2411yescharacteristic
573C2×Dic22C2411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×SD16—22no—
576C11×D8—22no—
577C11×D8—22no—
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4C2×D411yescharacteristic
587C11×C4⋊C4C2×D411yescharacteristic
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C42×C11—21no—
603C42×C11C2411yescharacteristic
604C42×C11C2411yescharacteristic
605C42×C11C2411yescharacteristic
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611#4326—41no—
612#4326—41no—
613#4325—41no—
614#4324—22no—
615#4324—41no—
616#4324—41no—
617#4324—41no—
618#4324—41no—
619#4323—22no—
620#4323—22no—
621#4323—41no—
622#4323—41no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651(C2×D11)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653(C2×D11)⋊C4C2×D411yescharacteristic
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11C2×D411yescharacteristic
665C4⋊Dic11C2×D411yescharacteristic
666C4⋊Dic11C2×D411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695Dic44—41no—
696Dic44—41no—
697D88—41no—
698D88—41no—
699#4314—41no—
700#4314—41no—
701#4314—41no—
702#4314—41no—
703#4314—41no—
704#4313—41no—
705#4313—41no—
706C8×D11—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3558—111no—
711#3520—111no—
712#3401—111no—
713#3401—111no—
714#3373—111no—
715#3373D1111yescharacteristic, complemented
716#3316—111no—
717#3316—111no—
718#3306—111no—
719#3306—111no—
720#3295—111no—
721#3295—111no—
722#3282—111no—
723#3282—111no—
724#3267—111no—
725#3267—111no—
726#3264—111no—
727#3264—111no—
728#3263—111no—
729#3263—111no—
730#3246—111no—
731#3224—111no—
732#3224—111no—
733#3215—111no—
734#3125—111no—
735#3125—111no—
736#3109—111no—
737#3045—111no—
738#3045—111no—
739C2×#463—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—42no—
749C22×D11—42no—
750C22×D11—81no—
751C22×D11—81no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11C22×D411yescharacteristic
760C22×D11C22×D411yescharacteristic
761C22×D11C22×D411yescharacteristic
762Q8×C11—21no—
763Q8×C11—21no—
764Q8×C11—41no—
765Q8×C11—42no—
766Q8×C11—81no—
767Q8×C11—81no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—81no—
774D4×C11—81no—
775D4×C11H(5,𝔽2)12yes—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—42no—
782C2×C4×C11—81no—
783C2×C4×C11—81no—
784C2×C4×C11—81no—
785C2×C4×C11—81no—
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C22×D411yescharacteristic
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C2511yescharacteristic
793C22⋊D11—42no—
794C22⋊D11—42no—
795C22⋊D11—42no—
796C22⋊D11—42no—
797C22⋊D11—81no—
798C22⋊D11—81no—
799C22⋊D11—81no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—42no—
810C2×Dic11—42no—
811C2×Dic11—81no—
812C2×Dic11—81no—
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818D44—22no—
819D44—22no—
820D44—21no—
821D44—21no—
822D44—21no—
823D44—21no—
824D44—21no—
825D44—21no—
826D44—41no—
827D44—42no—
828D44—81no—
829D44—81no—
830D44—81no—
831D44—81no—
832D44—81no—
833D44—81no—
834C4×D11—22no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—21no—
838C4×D11—21no—
839C4×D11—21no—
840C4×D11—21no—
841C4×D11—41no—
842C4×D11—42no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850C4×D11—81no—
851Dic22—21no—
852Dic22—21no—
853Dic22—21no—
854Dic22—21no—
855Dic22—21no—
856Dic22—21no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C2×#135—111no—
870C2×#135—111no—
871C22×SD16—111no—
872C22×D8—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559C2×D1111yescharacteristic, complemented
877#556—111no—
878#554—111no—
879#554—111no—
880#552—221no—
881#551—221no—
882#551—221no—
883D4×Q8C2×D1111yescharacteristic, complemented
884#548—111no—
885#548—111no—
886#548—221no—
887#547—111no—
888#547—111no—
889#546—111no—
890#546—111no—
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#539—221no—
902#539—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535—111no—
908#534—221no—
909#533—111no—
910#532—111no—
911#529—111no—
912C2×#124—111no—
913#525—221no—
914C2×C22⋊Q8—221no—
915#520—111no—
916#520—111no—
917C2×C4×D4—111no—
918#497—111no—
919#497—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489C2×D1111yescharacteristic, complemented
927#489C2×D1111yescharacteristic, complemented
928#486—111no—
929#486C2×D1111yescharacteristic, complemented
930#483—111no—
931#483—111no—
932#481—111no—
933#481—111no—
934#481—111no—
935#481—111no—
936#476—111no—
937#476—111no—
938#476—111no—
939#476—111no—
940#476C2×D1111yescharacteristic, complemented
941#476C2×D1111yescharacteristic, complemented
942#475—111no—
943#475—111no—
944#475—111no—
945#475C2×D1111yescharacteristic, complemented
946#470—111no—
947#470—111no—
948#469—111no—
949#469—111no—
950#465—111no—
951#465—111no—
952#465—111no—
953#465—111no—
954#465—111no—
955#465—111no—
956#465—111no—
957#465—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464—111no—
965#464—111no—
966#463—111no—
967#463—111no—
968#463—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463C2×D1111yescharacteristic, complemented
977#463C2×D1111yescharacteristic, complemented
978#461—111no—
979#461—111no—
980#460—111no—
981#460—111no—
982#460—111no—
983#460—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#459C2×D1111yescharacteristic
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#451—111no—
993#451—111no—
994#450—111no—
995#450—111no—
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446C2×D1111yescharacteristic, complemented
1008#442—111no—
1009#442—111no—
1010#442—111no—
1011#442—111no—
1012#442C2×D1111yescharacteristic, complemented
1013#442C2×D1111yescharacteristic, complemented
1014#441—111no—
1015#441—111no—
1016C4×SD16—111no—
1017C4×SD16—111no—
1018C4×SD16—111no—
1019C4×SD16C2×D1111yescharacteristic, complemented
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417—111no—
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102—111no—
1038C22×C11—22no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11C23×D411yescharacteristic
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—21no—
1051C2×D11—21no—
1052C2×D11—21no—
1053C2×D11—21no—
1054C2×D11—21no—
1055C2×D11—21no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—84no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11—162no—
1069C2×D11#57712yes—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—21no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11C2×H(5,𝔽2)11yescharacteristic
1082C4×C11#58511yescharacteristic
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—111no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C22×Q8—21no—
1100C22×Q8—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—221no—
1106C22×D4—221no—
1107C23×C4—221no—
1108AGL(1,ℤ/8)—442no—
1109AGL(1,ℤ/8)—442no—
1110#135—442no—
1111#135—442no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—111no—
1115C2×Q16—111no—
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—111no—
1125C2×SD16—111no—
1126C2×SD16—111no—
1127C2×SD16—442no—
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—442no—
1136C2×D8C22×D1111yescharacteristic
1137C2×D8C22×D1111yescharacteristic
1138C2×M16—111no—
1139C2×M16—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C22×C8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8C22×D1111yescharacteristic
1147C4⋊Q8C22×D1111yescharacteristic
1148C4⋊Q8C22×D1111yescharacteristic
1149#127—111no—
1150#127—111no—
1151#127C22×D1111yescharacteristic
1152#126—111no—
1153#126—111no—
1154#126—221no—
1155#126—221no—
1156#126—221no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#125—111no—
1161#125—221no—
1162#125—221no—
1163#125—221no—
1164#124—21no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—111no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124C22×D1111yescharacteristic
1183#124C22×D1111yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—111no—
1187#123—111no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—111no—
1211C22⋊Q8—111no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
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⋊Q8—221no—
1223C22⋊Q8—221no—
1224C22⋊Q8—221no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—111no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#120—221no—
1247#120—221no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—221no—
1264C4×Q8C22×D1111yescharacteristic
1265C4×Q8C22×D1111yescharacteristic
1266C4×D4—21no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4C22×D1111yescharacteristic
1288C4×D4C22×D1111yescharacteristic
1289C4×D4C22×D1111yescharacteristic
1290C4×D4C22×D1111yescharacteristic
1291C4×D4C22×D1111yescharacteristic
1292#117—111no—
1293#117—111no—
1294#117—221no—
1295#117—221no—
1296#117—221no—
1297#117—221no—
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×C22⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C42—111no—
1312#106—111no—
1313#106—111no—
1314#106—111no—
1315#106—111no—
1316#106—111no—
1317#106C22×D1111yescharacteristic
1318#106C22×D1111yescharacteristic
1319#106C22×D1111yescharacteristic
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8—111no—
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329C4⋊C8C22×D1111yescharacteristic
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103C22×D1111yescharacteristic
1340#103C22×D1111yescharacteristic
1341#103C22×D1111yescharacteristic
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102C22×D1111yescharacteristic
1356#102C22×D1111yescharacteristic
1357#102C22×D1111yescharacteristic
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361#102C22×D1111yescharacteristic
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8—111no—
1367C22⋊C8—111no—
1368#97—111no—
1369#97—111no—
1370#97C22×D1111yescharacteristic
1371#97C22×D1111yescharacteristic
1372C4×C8—111no—
1373C4×C8C22×D1111yescharacteristic
1374C2×C11—42no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11#348811yescharacteristic
1378C2×C11C2×#57711yescharacteristic
1379C2×C11#358511yescharacteristic
1380D11—22no—
1381D11—41no—
1382D11—41no—
1383D11—81no—
1384D11—81no—
1385D11—81no—
1386C24—221no—
1387C24—221no—
1388C24—221no—
1389C24—221no—
1390#41—222no—
1391#41—222no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—441no—
1397#41—441no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—21no—
1402C2×Q8—21no—
1403C2×Q8—82no—
1404C2×Q8—111no—
1405C2×Q8—111no—
1406C2×Q8—111no—
1407C2×Q8—221no—
1408C2×Q8—221no—
1409C2×Q8—441no—
1410C2×Q8—441no—
1411C2×Q8D4×D1111yescharacteristic
1412C2×Q8C23×D1111yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—111no—
1416C2×D4—111no—
1417C2×D4—111no—
1418C2×D4—111no—
1419C2×D4—111no—
1420C2×D4—111no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—222no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—441no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—882no—
1448C2×D4—882no—
1449C2×D4C23×D1111yescharacteristic
1450C2×D4C23×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—111no—
1458C22×C4—111no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—111no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—882no—
1476Q16—441no—
1477Q16—441no—
1478Q16—441no—
1479Q16—441no—
1480SD16—22no—
1481SD16—222no—
1482SD16—441no—
1483SD16—441no—
1484SD16—441no—
1485SD16—441no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492D8—22no—
1493D8—22no—
1494D8—222no—
1495D8—222no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500M16—441no—
1501M16—441no—
1502C2×C8—111no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—441no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8C23×D1111yescharacteristic
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4D4×D1111yescharacteristic
1545C4⋊C4D4×D1111yescharacteristic
1546C4⋊C4D4×D1111yescharacteristic
1547C4⋊C4C23×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C4⋊C4C23×D1111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
1567C22⋊C4—111no—
1568C22⋊C4—111no—
1569C22⋊C4—111no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
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—
1599C42—21no—
1600C42—111no—
1601C42—111no—
1602C42—111no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42C23×D1111yescharacteristic
1609C42C23×D1111yescharacteristic
1610C42C23×D1111yescharacteristic
1611C11#6201811yescharacteristic, complemented, Sylow
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—111no—
1616C23—111no—
1617C23—111no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—442no—
1622C23—442no—
1623C23—442no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629C23—881no—
1630C23—881no—
1631C23—881no—
1632C23—881no—
1633Q8—21no—
1634Q8—21no—
1635Q8—41no—
1636Q8—42no—
1637Q8—81no—
1638Q8—81no—
1639Q8—221no—
1640Q8—221no—
1641Q8—221no—
1642Q8—221no—
1643Q8—221no—
1644Q8—221no—
1645Q8—881no—
1646Q8—881no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—81no—
1653D4—81no—
1654D4—222no—
1655D4—222no—
1656D4—221no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—221no—
1661D4—221no—
1662D4—441no—
1663D4—442no—
1664D4—442no—
1665D4—442no—
1666D4—442no—
1667D4—442no—
1668D4—881no—
1669D4—881no—
1670D4—881no—
1671D4—881no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4#6704212yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—111no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—111no—
1697C2×C4—222no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—441no—
1710C2×C4—442no—
1711C2×C4—442no—
1712C2×C4—442no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4C2×D4×D1111yescharacteristic
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C2×D4×D1111yescharacteristic
1729C2×C4C24×D1111yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C8—221no—
1738C22—22no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—112no—
1748C22—221no—
1749C22—221no—
1750C22—221no—
1751C22—221no—
1752C22—221no—
1753C22—221no—
1754C22—221no—
1755C22—221no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—884no—
1766C22—1762no—
1767C22—1762no—
1768C22—1762no—
1769C22C22×D4×D1111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—221no—
1782C4—221no—
1783C4—221no—
1784C4—221no—
1785C4—221no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4C2×#6704211yescharacteristic
1792C4#1062345711yescharacteristic
1793C2—42no—
1794C2—81no—
1795C2—81no—
1796C2—222no—
1797C2—441no—
1798C2—441no—
1799C2—881no—
1800C2—881no—
1801C2—881no—
1802C2#1308228211yescharacteristic
1803C2D11×#57711yescharacteristic
1804C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3373C2
socleC22×C11C23×D4
hypercenter#3373D11
hypocenterC11#62018
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3373

Complements

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

NH ≅ G/Ntype
1. #13083136C2semidirect
2. #13082666C2semidirect
3. #13081684C2semidirect
4. #13081676C2semidirect
5. #13081408C2semidirect
6. #13080726C2semidirect
7. #13080724C2semidirect
8. #13080576C2semidirect
9. #13080574C2semidirect
10. #13080439C2semidirect
11. #13080437C2semidirect
12. #13080329C2semidirect
13. #13080325C2semidirect
14. #13080143C2semidirect
15. #13080136C2semidirect
16. #13080098C2semidirect
17. #13080091C2semidirect
18. #13080088C2semidirect
19. #13080085C2semidirect
20. #13079934C2semidirect
21. #13079713C2semidirect
22. #13079711C2semidirect
23. #13079620C2semidirect
24. #13078897C2semidirect
25. #13078889C2semidirect
26. #13078705C2semidirect
27. #13078156C2semidirect
28. #13078150C2semidirect
29. D11×#463C2semidirect
30. #13077754C2semidirect
31. C11×#3373C2semidirect
32. C11×#559C22semidirect
33. D4×Q8×C11C22semidirect
36. C2×#66969C22semidirect
37. C2×SD16×D11C22semidirect
38. C2×#66965C22semidirect
39. C2×#66964C22semidirect
40. C2×#66964C22semidirect
42. #10623264C22semidirect
43. #10623264C22semidirect
44. #10623261C22semidirect
45. #10623261C22semidirect
46. #10623259C22semidirect
47. #10623257C22semidirect
49. #10623246C22semidirect
53. #10623207C22semidirect
54. #10623205C22semidirect
66. #10623116C22semidirect
67. #10623115C22semidirect
68. #10623113C22semidirect
71. #10623092C22semidirect
73. #10623086C22semidirect
74. #10623085C22semidirect
75. #10623085C22semidirect
76. #10623085C22semidirect
80. #10623077C22semidirect
81. #10623077C22semidirect
82. C4×D4×D11C22semidirect
83. C11×#489C22semidirect
84. C11×#489C22semidirect
85. C11×#486C22semidirect
86. C11×#476C22semidirect
87. C11×#476C22semidirect
88. C11×#475C22semidirect
89. C11×#463C22semidirect
90. C11×#463C22semidirect
92. C11×#446C22semidirect
93. C11×#442C22semidirect
94. C11×#442C22semidirect
95. C4×C11×SD16C22semidirect
96. #10622786C22semidirect
97. #10622778C22semidirect
99. #10622769C22semidirect
100. #10622766C22semidirect
101. #10622763C22semidirect
102. #10622707C22semidirect
103. #10622702C22semidirect
104. #10622702C22semidirect
105. #10622701C22semidirect
106. #10622697C22semidirect
107. #10622697C22semidirect
108. #10622688C22semidirect
110. #10622673C22semidirect
111. #10622672C22semidirect
112. #10622670C22semidirect
113. #10622667C22semidirect
114. #10622643C22semidirect
115. #10622641C22semidirect
116. #10622637C22semidirect
117. #10622632C22semidirect
118. C4×#4324C22semidirect
119. C4×#4324C22semidirect
120. #10622629C22semidirect
121. #10622629C22semidirect
122. #10622629C22semidirect
124. #10622627C22semidirect
125. #10622627C22semidirect
126. #10622627C22semidirect
127. #10622483C22semidirect
128. #10622481C22semidirect
130. #10622477C22semidirect
131. #10622477C22semidirect
132. #10622477C22semidirect
133. #10622477C22semidirect
134. #10622476C22semidirect
135. #10622476C22semidirect
136. #10622475C22semidirect
137. #10622467C22semidirect
138. #10622467C22semidirect
139. #10622461C22semidirect
140. #10622458C22semidirect
141. #10622458C22semidirect
142. #10622457C22semidirect
143. #10622457C22semidirect
144. #10622454C22semidirect
145. #10622452C22semidirect
146. #10622452C22semidirect
147. #10622449C22semidirect
148. #10622449C22semidirect
149. #10622447C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622432C22semidirect
152. #10622429C22semidirect
153. #10622424C22semidirect
154. #10622423C22semidirect
155. #10622421C22semidirect
156. #10622421C22semidirect
157. #10622420C22semidirect
158. #10622418C22semidirect
159. #10622416C22semidirect
160. D11×#103C22semidirect
161. #10622411C22semidirect
162. #10622411C22semidirect
163. #10622400C22semidirect
164. #10622399C22semidirect
165. #10622396C22semidirect
166. #10622396C22semidirect
169. #10622394C22semidirect
170. #10622391C22semidirect
171. #10622391C22semidirect
172. #10622391C22semidirect
173. #10622390C22semidirect
174. #10622390C22semidirect
177. #10622389C22semidirect
178. #10622389C22semidirect
179. #10622386C22semidirect
180. #10622386C22semidirect
181. #10622386C22semidirect
182. #10622384C22semidirect
184. D11×#102C22semidirect
185. D11×#102C22semidirect
186. #10622380C22semidirect
187. #10622380C22semidirect
188. #10622375C22semidirect
189. #10622375C22semidirect
190. #10622374C22semidirect
191. #10622329C22semidirect
192. #10622328C22semidirect
194. #10622324C22semidirect
195. #10622322C22semidirect
196. #10622319C22semidirect
197. #10622319C22semidirect
198. #10622318C22semidirect
199. #10622309C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
715. #3373D11semidirect
876. #559C2×D11semidirect
883. D4×Q8C2×D11semidirect
926. #489C2×D11semidirect
927. #489C2×D11semidirect
929. #486C2×D11semidirect
940. #476C2×D11semidirect
941. #476C2×D11semidirect
945. #475C2×D11semidirect
976. #463C2×D11semidirect
977. #463C2×D11semidirect
1007. #446C2×D11semidirect
1012. #442C2×D11semidirect
1013. #442C2×D11semidirect
1019. C4×SD16C2×D11semidirect
1611. C11#62018semidirect

Maximal subgroups

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

subgroupindex
#130831362
#130826662
#130816842
#130816762
#130814082
#130807262
#130807242
#130805762
#130805742
#130804392
#130804372
#130803292
#130803252
#130801432
#130801362
#130800982
#130800912
#130800882
#130800852
#130799342
#130797132
#130797112
#130796202
#130788972
#130788892
#130787052
#130781562
#130781502
D11×#4632
#130777542
C11×#33732
#6201811