Finite Group Databasebeta

← #15639433

Subgroups — #15639433

Order 2816.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082903C211yesmaximal, characteristic, complemented
2#13082253C211yesmaximal, characteristic, complemented
3#13080928C211yesmaximal, characteristic, complemented
4#13080709C211yesmaximal, characteristic, complemented
5#13080700C211yesmaximal, characteristic, complemented
6#13080653C211yesmaximal, characteristic, complemented
7#13080586C211yesmaximal, characteristic, complemented
8#13080531C211yesmaximal, characteristic, complemented
9#13080450C211yesmaximal, characteristic, complemented
10#13080337C211yesmaximal, characteristic, complemented
11#13080327C211yesmaximal, characteristic, complemented
12#13080264C211yesmaximal, characteristic, complemented
13#13080254C211yesmaximal, characteristic, complemented
14#13080178C211yesmaximal, characteristic, complemented
15#13080169C211yesmaximal, characteristic, complemented
16#13080136C211yesmaximal, characteristic, complemented
17#13080122C211yesmaximal, characteristic, complemented
18#13079722C211yesmaximal, characteristic, complemented
19#13079702C211yesmaximal, characteristic, complemented
20#13079510C211yesmaximal, characteristic, complemented
21#13079493C211yesmaximal, characteristic, complemented
22#13079452C211yesmaximal, characteristic, complemented
23#13079396C211yesmaximal, characteristic, complemented
24#13078870C211yesmaximal, characteristic, complemented
25#13078796C211yesmaximal, characteristic, complemented
26#13077915C211yesmaximal, characteristic, complemented
27#13077894C211yesmaximal, characteristic, complemented
28#13077877C211yesmaximal, characteristic, complemented
29#13077831C211yesmaximal, characteristic, complemented
30#13077660C211yesmaximal, characteristic, complemented
31C11×#3322C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623355C2211yescharacteristic
37C2×#67004C2211yescharacteristic, complemented
38#10623337C2211yescharacteristic
39C22×#4324C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×#66965C2211yescharacteristic, complemented
42C2×#66965C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44C2×#66962C2211yescharacteristic, complemented
45C2×#66962C2211yescharacteristic, complemented
46#10623243—21no—
47#10623241—21no—
48#10623228C2211yescharacteristic, complemented
49#10623225C2211yescharacteristic, complemented
50#10623207C2211yescharacteristic
51#10623206C2211yescharacteristic
52#10623198—21no—
53#10623196—21no—
54#10623186—21no—
55D11×#123—21no—
56#10623162C2211yescharacteristic
57#10623159C2211yescharacteristic
58#10623149—21no—
59#10623148—21no—
60#10623143C2211yescharacteristic
61#10623142—21no—
62#10623139C2211yescharacteristic
63#10623137C2211yescharacteristic
64#10623137C2211yescharacteristic, complemented
65#10623136—21no—
66#10623129C2211yescharacteristic, complemented
67#10623129C2211yescharacteristic, complemented
68#10623122—21no—
69#10623120—21no—
70#10623092C2211yescharacteristic, complemented
71#10623091—21no—
72#10623086C2211yescharacteristic
73#10623086C2211yescharacteristic, complemented
74#10623082C2211yescharacteristic
75#10623078C2211yescharacteristic
76#10623076C2211yescharacteristic
77#10623074—21no—
78D4×Dic22C2211yescharacteristic, complemented
79#10623064C2211yescharacteristic, complemented
80#10623057C2211yescharacteristic
81#10623042C2211yescharacteristic, complemented
82C2×#66950C2211yescharacteristic, complemented
83#10623021—21no—
84C2×#66936—21no—
85C11×#488C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#480C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#469C2211yescharacteristic, complemented
90C11×#468C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#447C2211yescharacteristic, complemented
94C4×C11×D8C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96C11×#418C2211yescharacteristic, complemented
97C11×#417C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622831C2211yescharacteristic, complemented
100#10622786C2211yescharacteristic, complemented
101#10622783C2211yescharacteristic, complemented
102#10622780C2211yescharacteristic, complemented
103#10622771C2211yescharacteristic
104#10622771C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic
106#10622768C2211yescharacteristic, complemented
107#10622766C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622750C2211yescharacteristic, complemented
110#10622742C2211yescharacteristic
111#10622741C2211yescharacteristic, complemented
112#10622740C2211yescharacteristic, complemented
113#10622739C2211yescharacteristic, complemented
114#10622682C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622673C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622663C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622655C2211yescharacteristic, complemented
122#10622654C2211yescharacteristic, complemented
123#10622653C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126#10622632C2211yescharacteristic, complemented
127#10622632C2211yescharacteristic, complemented
128#10622631C2211yescharacteristic, complemented
129#10622627C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622615C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic, complemented
136#10622502C2211yescharacteristic, complemented
137#10622501C2211yescharacteristic, complemented
138#10622501C2211yescharacteristic, complemented
139#10622500C2211yescharacteristic, complemented
140#10622500C2211yescharacteristic, complemented
141#10622500C2211yescharacteristic, complemented
142#10622497C2211yescharacteristic, complemented
143#10622481C2211yescharacteristic, complemented
144#10622480C2211yescharacteristic, complemented
145#10622480C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622454C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622426C2211yescharacteristic, complemented
153#10622423C2211yescharacteristic, complemented
154#10622423C2211yescharacteristic, complemented
155#10622421C2211yescharacteristic, complemented
156#10622421C2211yescharacteristic, complemented
157#10622421C2211yescharacteristic, complemented
158#10622418C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic, complemented
160#10622406C2211yescharacteristic, complemented
161#10622406C2211yescharacteristic, complemented
162#10622405C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic
165#10622396C2211yescharacteristic
166#10622396C2211yescharacteristic
167#10622396C2211yescharacteristic, complemented
168#10622396C2211yescharacteristic, complemented
169#10622396C2211yescharacteristic, complemented
170#10622396C2211yescharacteristic, complemented
171#10622396C2211yescharacteristic, complemented
172#10622396C2211yescharacteristic, complemented
173#10622392C2211yescharacteristic, complemented
174#10622392C2211yescharacteristic, complemented
175#10622391C2211yescharacteristic, complemented
176#10622391C2211yescharacteristic, complemented
177#10622389C2211yescharacteristic
178#10622389C2211yescharacteristic
179#10622389C2211yescharacteristic
180#10622389C2211yescharacteristic, complemented
181#10622389C2211yescharacteristic, complemented
182#10622385C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic, complemented
185#10622380C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622378C2211yescharacteristic, complemented
188#10622374C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622352C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622312C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×Q8×D11C2311yescharacteristic
211#67037—42no—
212#67037—42no—
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×SD16C2311yescharacteristic
233C2×C11×D8C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C11×#126—21no—
238C11×#125C2311yescharacteristic
239C11×#124C2311yescharacteristic
240C11×#123—21no—
241C11×#123—21no—
242C11×C22⋊Q8C2311yescharacteristic
243C11×#121—21no—
244C11×#121—21no—
245C11×#121C2311yescharacteristic
246C11×#121C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#120—21no—
249C4×D4×C11—21no—
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257C2×C22⋊Dic11—21no—
258#67004—42no—
259#66999C2311yescharacteristic
260#66997C2311yescharacteristic
261C2×#4326C2311yescharacteristic
262C2×#4326C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992D411yescharacteristic
270#66991—21no—
271#66991—21no—
272#66991—21no—
273#66991C2311yescharacteristic
274#66991C2311yescharacteristic
275#66990—21no—
276#66990—21no—
277#66990—21no—
278#66990D411yescharacteristic
279#66989C2311yescharacteristic
280#66989C2311yescharacteristic
281#66988—21no—
282#66988—21no—
283D4×Dic11—21no—
284D4×Dic11—21no—
285D4×Dic11—21no—
286D4×Dic11—21no—
287D4×Dic11—21no—
288D4×Dic11C2311yescharacteristic
289C2×#4324—42no—
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295C2×#4324C2311yescharacteristic
296C2×#4324C2311yescharacteristic
297C2×#4324C2311yescharacteristic
298C2×#4323C2311yescharacteristic
299#66983—21no—
300#66983—21no—
301#66982—21no—
302#66982—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11C2311yescharacteristic
306C4×C22⋊D11C2311yescharacteristic
307C2×(C2×D11)⋊C4—21no—
308C2×(C2×D11)⋊C4—21no—
309C2×C4⋊Dic11—21no—
310C2×C4⋊Dic11—21no—
311C2×C4⋊Dic11—21no—
312#66977—21no—
313#66977—21no—
314#66977C2311yescharacteristic
315#66977C2311yescharacteristic
316#66977C2311yescharacteristic
317#66977C2311yescharacteristic
318C2×Dic11⋊C4—21no—
319C2×#4318C2311yescharacteristic
320C22×C11⋊C8C2311yescharacteristic
321#66969—42no—
322#66965—42no—
323#66965—42no—
324#66964—42no—
325#66962—42no—
326#66962—42no—
327C2×Dic44C2311yescharacteristic
328C2×Dic44C2311yescharacteristic
329C2×Dic44C2311yescharacteristic
330C2×Dic44C2311yescharacteristic
331C2×Dic44C2311yescharacteristic
332C2×Dic44C2311yescharacteristic
333C2×#4314C2311yescharacteristic
334C2×#4314C2311yescharacteristic
335C2×#4314C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×C8×D11C2311yescharacteristic
338C2×C8×D11C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340#66951—21no—
341#66951—21no—
342#66951—21no—
343#66950—21no—
344#66950—21no—
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66950C2311yescharacteristic
349#66950C2311yescharacteristic
350#66950C2311yescharacteristic
351#66950C2311yescharacteristic
352#66950C2311yescharacteristic
353#66950C2311yescharacteristic
354#66949—21no—
355#66949D411yescharacteristic
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947D411yescharacteristic
360#66946C2311yescharacteristic
361#66945—21no—
362#66945C2311yescharacteristic
363#66945C2311yescharacteristic
364C4⋊C4×D11—21no—
365C4⋊C4×D11—21no—
366C4⋊C4×D11C2311yescharacteristic
367#66943—21no—
368#66943—21no—
369#66943—21no—
370#66942—21no—
371#66941—21no—
372#66941—21no—
373#66941C2311yescharacteristic
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66939—21no—
380#66939—21no—
381#66939—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937D411yescharacteristic
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66936—21no—
401#66936D411yescharacteristic
402#66935—21no—
403#66935D411yescharacteristic
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410#66932—21no—
411#66932—21no—
412#66931—21no—
413#66931—21no—
414#66931—21no—
415#66931—21no—
416#66931—21no—
417#66931—21no—
418#66931—21no—
419#66931D411yescharacteristic
420#66929—21no—
421#66928—21no—
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925C2311yescharacteristic
425#66922—21no—
426#66922C2311yescharacteristic
427#66922C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66881C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61613—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—41no—
497C2×Q8×C11C2411yescharacteristic
498C2×D4×C11—22no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—41no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—44no—
527C2×C22⋊D11—44no—
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11C2×D411yescharacteristic
541#4343—22no—
542#4343—41no—
543Q8×D11—41no—
544Q8×D11—41no—
545#4341—22no—
546#4341—22no—
547#4341—41no—
548#4341—41no—
549#4341—41no—
550#4341—41no—
551#4341—41no—
552#4341—41no—
553#4341—41no—
554#4341—41no—
555#4341—44no—
556#4341—44no—
557D4×D11—22no—
558D4×D11—22no—
559D4×D11—22no—
560D4×D11—41no—
561D4×D11—44no—
562D4×D11—44no—
563#4339—22no—
564#4339—22no—
565#4339—41no—
566#4339—41no—
567#4339—41no—
568#4339—41no—
569#4339—44no—
570C2×D44—21no—
571C2×D44C2×D411yescharacteristic
572C2×D44C2×D411yescharacteristic
573C2×D44C2411yescharacteristic
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—41no—
582C2×C4×D11—41no—
583C2×C4×D11—44no—
584C2×C4×D11C2×D411yescharacteristic
585C2×C4×D11C2×D411yescharacteristic
586C2×C4×D11C2411yescharacteristic
587C2×C4×D11C2411yescharacteristic
588C2×C4×D11C2411yescharacteristic
589C2×Dic22—21no—
590C2×Dic22—21no—
591C2×Dic22—21no—
592C2×Dic22—21no—
593C2×Dic22—41no—
594C2×Dic22—41no—
595C2×Dic22—41no—
596C2×Dic22—41no—
597C2×Dic22C2×D411yescharacteristic
598C2×Dic22C2411yescharacteristic
599C2×Dic22C2411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C11×SD16—41no—
604C11×D8—22no—
605C11×D8—41no—
606C11×M16—41no—
607C11×M16—41no—
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4C2×D411yescharacteristic
617C11×C4⋊C4C2411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
619C11×C4⋊C4C2411yescharacteristic
620C11×C4⋊C4C2411yescharacteristic
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4C2×D411yescharacteristic
631C11×C22⋊C4C2×D411yescharacteristic
632C42×C11—21no—
633C42×C11C2411yescharacteristic
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11C2×D411yescharacteristic
646C22⋊Dic11C2×D411yescharacteristic
647#4326—41no—
648#4326—41no—
649#4326—41no—
650#4324—22no—
651#4324—22no—
652#4324—22no—
653#4324—41no—
654#4324—41no—
655#4324—41no—
656#4324—41no—
657#4324—41no—
658#4323—22no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4C2×D411yescharacteristic
674(C2×D11)⋊C4C2×D411yescharacteristic
675(C2×D11)⋊C4C2×D411yescharacteristic
676(C2×D11)⋊C4C2×D411yescharacteristic
677(C2×D11)⋊C4C2×D411yescharacteristic
678(C2×D11)⋊C4C2×D411yescharacteristic
679C4⋊Dic11—21no—
680C4⋊Dic11—21no—
681C4⋊Dic11—21no—
682C4⋊Dic11—21no—
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11C2×D411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718C2×C11⋊C8—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—41no—
724Dic44—41no—
725Dic44—41no—
726Dic44—41no—
727Dic44—41no—
728Dic44—41no—
729#4314—22no—
730#4314—22no—
731#4314—22no—
732#4313—41no—
733C8×D11—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3541—111no—
737#3485—111no—
738#3331—111no—
739#3322D1111yescharacteristic, complemented
740#3315—111no—
741#3314—111no—
742#3311—111no—
743#3307—111no—
744#3302—111no—
745#3296—111no—
746#3283—111no—
747#3282—111no—
748#3276—111no—
749#3275—111no—
750#3269—111no—
751#3269—111no—
752#3267—111no—
753#3266—111no—
754#3225—111no—
755#3223—111no—
756#3202—111no—
757#3201—111no—
758#3197—111no—
759#3190—111no—
760#3123—111no—
761#3118—111no—
762#3012—111no—
763#3009—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11—42no—
771C23×C11—81no—
772C23×C11—81no—
773C23×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C22×D11—21no—
776C22×D11—24no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—42no—
781C22×D11—81no—
782C22×D11—81no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11C22×D411yescharacteristic
786C22×D11C22×D411yescharacteristic
787C22×D11C22×D411yescharacteristic
788Q8×C11—21no—
789Q8×C11—21no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—21no—
793D4×C11—21no—
794D4×C11—21no—
795D4×C11—41no—
796D4×C11—42no—
797D4×C11—42no—
798D4×C11—42no—
799D4×C11—81no—
800D4×C11—81no—
801D4×C11H(5,𝔽2)12yes—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—42no—
812C2×C4×C11—81no—
813C2×C4×C11—81no—
814C2×C4×C11—81no—
815C2×C4×C11C22×D411yescharacteristic
816C2×C4×C11C22×D411yescharacteristic
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C2511yescharacteristic
820C22⋊D11—24no—
821C22⋊D11—41no—
822C22⋊D11—41no—
823C22⋊D11—41no—
824C22⋊D11—41no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—81no—
832C22⋊D11—81no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—41no—
843C2×Dic11—42no—
844C2×Dic11—42no—
845C2×Dic11—42no—
846C2×Dic11—81no—
847C2×Dic11—81no—
848C2×Dic11—81no—
849C2×Dic11—81no—
850C2×Dic11—81no—
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856D44—21no—
857D44—41no—
858D44—41no—
859D44—42no—
860D44H(5,𝔽2)12yes—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—41no—
868C4×D11—41no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876Dic22—21no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—41no—
887Dic22—42no—
888Dic22—81no—
889Dic22—81no—
890Dic22—81no—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×H(5,𝔽2)—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135—111no—
908C22×SD16—111no—
909#563—221no—
910#562—221no—
911#556—111no—
912#554—111no—
913#554—221no—
914#553—221no—
915#553C2×D1111yescharacteristic, complemented
916#552—111no—
917D4×Q8—111no—
918#548—111no—
919#548—111no—
920#547—111no—
921#547—111no—
922#547—111no—
923#547—111no—
924#547—111no—
925#547—221no—
926#547—221no—
927#546—111no—
928#546—111no—
929#546—111no—
930#546—221no—
931#546—221no—
932#546C2×D1111yescharacteristic
933#542—111no—
934#542—221no—
935#541—111no—
936#539—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#536—111no—
941#536—111no—
942#536—111no—
943#534—221no—
944#534—221no—
945#525—111no—
946#525—111no—
947#525—111no—
948C2×#123—221no—
949C2×#123—221no—
950C2×C22⋊Q8—111no—
951#518—111no—
952#497—111no—
953#497—111no—
954#495—111no—
955#494—111no—
956#491—111no—
957#489—111no—
958#488C2×D1111yescharacteristic, complemented
959#487—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#485—111no—
965#485C2×D1111yescharacteristic, complemented
966#484—111no—
967#483—111no—
968#483—111no—
969#482—111no—
970#482—111no—
971#480C2×D1111yescharacteristic, complemented
972#478—111no—
973#478C2×D1111yescharacteristic, complemented
974#476—111no—
975#474—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#470—111no—
980#469C2×D1111yescharacteristic, complemented
981#468—111no—
982#468—111no—
983#468C2×D1111yescharacteristic, complemented
984#467—111no—
985#467—111no—
986#467—111no—
987#467—111no—
988#467—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#464—111no—
993#464—111no—
994#464—111no—
995#463—111no—
996#463—111no—
997#463C2×D1111yescharacteristic, complemented
998#462—111no—
999#462—111no—
1000#462—111no—
1001#461—111no—
1002#461—111no—
1003#461—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#451—111no—
1025#450—111no—
1026#450—111no—
1027#450—111no—
1028#450—111no—
1029#450—111no—
1030#450—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449C2×D1111yescharacteristic, complemented
1036#448—111no—
1037#448—111no—
1038#447—111no—
1039#447C2×D1111yescharacteristic, complemented
1040#442—111no—
1041#440—111no—
1042#440—111no—
1043#440—111no—
1044C4×SD16—111no—
1045C4×SD16—111no—
1046C4×SD16—111no—
1047C4×D8C2×D1111yescharacteristic, complemented
1048#436—111no—
1049#436C2×D1111yescharacteristic, complemented
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#418C2×D1111yescharacteristic, complemented
1059#417—111no—
1060#417—111no—
1061#417C2×D1111yescharacteristic, complemented
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065C2×#102—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—22no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—162no—
1086C22×C11C23×D411yescharacteristic
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—22no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—84no—
1100C2×D11—82no—
1101C2×D11—162no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11—41no—
1125H(5,𝔽2)—442no—
1126H(5,𝔽2)—442no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—111no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—221no—
1139C2×#41—442no—
1140C2×#41—442no—
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C22×D4C22×D1111yescharacteristic
1152C23×C4—111no—
1153C23×C4—221no—
1154#137—442no—
1155#137—442no—
1156#137—442no—
1157AGL(1,ℤ/8)—442no—
1158#135—442no—
1159#135—442no—
1160#135—442no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—111no—
1167C2×Q16—111no—
1168C2×Q16—111no—
1169C2×Q16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—442no—
1182C2×SD16C22×D1111yescharacteristic
1183C2×D8—111no—
1184C2×D8C22×D1111yescharacteristic
1185C2×D8C22×D1111yescharacteristic
1186C2×M16—111no—
1187C2×M16—111no—
1188C2×M16C22×D1111yescharacteristic
1189C2×M16C22×D1111yescharacteristic
1190C22×C8—111no—
1191C22×C8—111no—
1192C22×C8—111no—
1193C22×C8—111no—
1194C4⋊Q8—111no—
1195C4⋊Q8—111no—
1196C4⋊Q8—111no—
1197C4⋊Q8—111no—
1198C4⋊Q8—221no—
1199C4⋊Q8—221no—
1200C4⋊Q8—221no—
1201#126—21no—
1202#126—221no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#125—221no—
1209#125—221no—
1210#125—221no—
1211#125—221no—
1212#125C22×D1111yescharacteristic
1213#124—111no—
1214#124—111no—
1215#124—221no—
1216#124—221no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124C22×D1111yescharacteristic
1222#123—21no—
1223#123—21no—
1224#123—111no—
1225#123—111no—
1226#123—221no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8C22×D1111yescharacteristic
1278#121—21no—
1279#121—21no—
1280#121—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121C22×D1111yescharacteristic
1298#121C22×D1111yescharacteristic
1299#121C22×D1111yescharacteristic
1300#120—21no—
1301#120—111no—
1302#120—111no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306#120—221no—
1307#120—221no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—221no—
1312C4×D4—21no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4C22×D1111yescharacteristic
1330C4×D4C22×D1111yescharacteristic
1331C4×D4C22×D1111yescharacteristic
1332#117—111no—
1333#117—111no—
1334#117—111no—
1335#117—221no—
1336#117C22×D1111yescharacteristic
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—221no—
1339C2×C4⋊C4—221no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4C22×D1111yescharacteristic
1345C2×C22⋊C4—21no—
1346C2×C22⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352#107—111no—
1353#107—111no—
1354#107C22×D1111yescharacteristic
1355#107C22×D1111yescharacteristic
1356#106—111no—
1357#106—111no—
1358#106—111no—
1359#106C22×D1111yescharacteristic
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362C4⋊C8—111no—
1363C4⋊C8C22×D1111yescharacteristic
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103C22×D1111yescharacteristic
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8C22×D1111yescharacteristic
1407C22⋊C8C22×D1111yescharacteristic
1408#97—111no—
1409#97—111no—
1410C4×C8—111no—
1411C4×C8C22×D1111yescharacteristic
1412C2×C11—41no—
1413C2×C11—42no—
1414C2×C11—41no—
1415C2×C11—81no—
1416C2×C11—81no—
1417C2×C11#348411yescharacteristic
1418C2×C11#358411yescharacteristic
1419C2×C11#358611yescharacteristic
1420D11—41no—
1421D11—41no—
1422D11—41no—
1423D11—42no—
1424C24—21no—
1425C24—111no—
1426C24—221no—
1427C24—221no—
1428#41—22no—
1429#41—41no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—441no—
1436#41—441no—
1437#41—441no—
1438#41—441no—
1439#41—444no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—441no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—444no—
1450#41—444no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—111no—
1456C2×Q8—111no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—221no—
1461C2×Q8—441no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8C23×D1111yescharacteristic
1468C2×D4—22no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—41no—
1475C2×D4—111no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—111no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—222no—
1486C2×D4—222no—
1487C2×D4—222no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—441no—
1498C2×D4—444no—
1499C2×D4—444no—
1500C2×D4—444no—
1501C2×D4—444no—
1502C2×D4D4×D1111yescharacteristic
1503C2×D4C23×D1111yescharacteristic
1504C2×D4C23×D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—441no—
1532C22×C4—441no—
1533C22×C4—444no—
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536Q16—441no—
1537Q16—441no—
1538Q16—441no—
1539Q16—441no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—41no—
1546SD16—222no—
1547SD16—222no—
1548SD16—222no—
1549SD16—222no—
1550SD16—222no—
1551SD16—222no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557D8—22no—
1558D8—41no—
1559D8—222no—
1560M16—41no—
1561M16—41no—
1562M16—441no—
1563M16—441no—
1564C2×C8—111no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—441no—
1569C2×C8—441no—
1570C2×C8—441no—
1571C2×C8—441no—
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4D4×D1111yescharacteristic
1613C4⋊C4C23×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C4⋊C4C23×D1111yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—111no—
1632C22⋊C4—111no—
1633C22⋊C4—111no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4D4×D1111yescharacteristic
1660C22⋊C4D4×D1111yescharacteristic
1661C42—21no—
1662C42—111no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42—221no—
1668C42C23×D1111yescharacteristic
1669C11#6161311yescharacteristic, complemented, Sylow
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—42no—
1674C23—81no—
1675C23—81no—
1676C23—111no—
1677C23—111no—
1678C23—111no—
1679C23—224no—
1680C23—221no—
1681C23—441no—
1682C23—441no—
1683C23—441no—
1684C23—442no—
1685C23—881no—
1686C23—881no—
1687C23—881no—
1688C23—881no—
1689C23C2×D4×D1111yescharacteristic
1690C23C2×D4×D1111yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—221no—
1701Q8—221no—
1702Q8—221no—
1703Q8—441no—
1704Q8—442no—
1705Q8—881no—
1706Q8—881no—
1707Q8—881no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—41no—
1714D4—42no—
1715D4—42no—
1716D4—42no—
1717D4—81no—
1718D4—81no—
1719D4—112no—
1720D4—224no—
1721D4—221no—
1722D4—441no—
1723D4—441no—
1724D4—442no—
1725D4—441no—
1726D4—441no—
1727D4—441no—
1728D4—441no—
1729D4—442no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—442no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4#6704212yes—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—42no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—441no—
1772C2×C4—441no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—441no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4—881no—
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C2×D4×D1111yescharacteristic
1792C2×C4C2×D4×D1111yescharacteristic
1793C2×C4C24×D1111yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C8—221no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—22no—
1807C22—21no—
1808C22—21no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—162no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—222no—
1825C22—221no—
1826C22—221no—
1827C22—221no—
1828C22—441no—
1829C22—441no—
1830C22—884no—
1831C22—882no—
1832C22—1762no—
1833C22C22×D4×D1111yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—221no—
1844C4—221no—
1845C4—221no—
1846C4—221no—
1847C4—221no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4C2×#6704211yescharacteristic
1856C4D11×H(5,𝔽2)11yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—42no—
1860C2—81no—
1861C2—81no—
1862C2—441no—
1863C2—441no—
1864C2—441no—
1865C2—442no—
1866C2#1308224611yescharacteristic
1867C2#1308338411yescharacteristic
1868C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3322C2
socleC22×C11C23×D4
hypercenter#3322D11
hypocenterC11#61613
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #13082903C2semidirect
2. #13082253C2semidirect
3. #13080928C2semidirect
4. #13080709C2semidirect
5. #13080700C2semidirect
6. #13080653C2semidirect
7. #13080586C2semidirect
8. #13080531C2semidirect
9. #13080450C2semidirect
10. #13080337C2semidirect
11. #13080327C2semidirect
12. #13080264C2semidirect
13. #13080254C2semidirect
14. #13080178C2semidirect
15. #13080169C2semidirect
16. #13080136C2semidirect
17. #13080122C2semidirect
18. #13079722C2semidirect
19. #13079702C2semidirect
20. #13079510C2semidirect
21. #13079493C2semidirect
22. #13079452C2semidirect
23. #13079396C2semidirect
24. #13078870C2semidirect
25. #13078796C2semidirect
26. #13077915C2semidirect
27. #13077894C2semidirect
28. #13077877C2semidirect
29. #13077831C2semidirect
30. #13077660C2semidirect
31. C11×#3322C2semidirect
34. C11×#553C22semidirect
37. C2×#67004C22semidirect
39. C22×#4324C22semidirect
40. C2×#66969C22semidirect
41. C2×#66965C22semidirect
42. C2×#66965C22semidirect
43. C2×#66964C22semidirect
44. C2×#66962C22semidirect
45. C2×#66962C22semidirect
48. #10623228C22semidirect
49. #10623225C22semidirect
64. #10623137C22semidirect
66. #10623129C22semidirect
67. #10623129C22semidirect
70. #10623092C22semidirect
73. #10623086C22semidirect
78. D4×Dic22C22semidirect
79. #10623064C22semidirect
81. #10623042C22semidirect
82. C2×#66950C22semidirect
85. C11×#488C22semidirect
86. C11×#485C22semidirect
87. C11×#480C22semidirect
88. C11×#478C22semidirect
89. C11×#469C22semidirect
90. C11×#468C22semidirect
91. C11×#463C22semidirect
92. C11×#449C22semidirect
93. C11×#447C22semidirect
94. C4×C11×D8C22semidirect
95. C11×#436C22semidirect
96. C11×#418C22semidirect
97. C11×#417C22semidirect
98. #10622852C22semidirect
99. #10622831C22semidirect
100. #10622786C22semidirect
101. #10622783C22semidirect
102. #10622780C22semidirect
104. #10622771C22semidirect
106. #10622768C22semidirect
107. #10622766C22semidirect
108. #10622750C22semidirect
109. #10622750C22semidirect
111. #10622741C22semidirect
112. #10622740C22semidirect
113. #10622739C22semidirect
114. #10622682C22semidirect
115. #10622679C22semidirect
116. #10622673C22semidirect
117. #10622667C22semidirect
118. #10622664C22semidirect
119. #10622663C22semidirect
120. #10622655C22semidirect
121. #10622655C22semidirect
122. #10622654C22semidirect
123. #10622653C22semidirect
124. #10622650C22semidirect
125. #10622650C22semidirect
126. #10622632C22semidirect
127. #10622632C22semidirect
128. #10622631C22semidirect
129. #10622627C22semidirect
130. #10622624C22semidirect
131. #10622615C22semidirect
132. #10622609C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622503C22semidirect
136. #10622502C22semidirect
137. #10622501C22semidirect
138. #10622501C22semidirect
139. #10622500C22semidirect
140. #10622500C22semidirect
141. #10622500C22semidirect
142. #10622497C22semidirect
143. #10622481C22semidirect
144. #10622480C22semidirect
145. #10622480C22semidirect
146. #10622465C22semidirect
147. #10622462C22semidirect
148. #10622454C22semidirect
149. #10622453C22semidirect
150. #10622449C22semidirect
151. #10622429C22semidirect
152. #10622426C22semidirect
153. #10622423C22semidirect
154. #10622423C22semidirect
155. #10622421C22semidirect
156. #10622421C22semidirect
157. #10622421C22semidirect
158. #10622418C22semidirect
159. #10622417C22semidirect
160. #10622406C22semidirect
161. #10622406C22semidirect
162. #10622405C22semidirect
163. #10622400C22semidirect
167. #10622396C22semidirect
168. #10622396C22semidirect
169. #10622396C22semidirect
170. #10622396C22semidirect
171. #10622396C22semidirect
172. #10622396C22semidirect
173. #10622392C22semidirect
174. #10622392C22semidirect
175. #10622391C22semidirect
176. #10622391C22semidirect
180. #10622389C22semidirect
181. #10622389C22semidirect
182. #10622385C22semidirect
183. #10622384C22semidirect
184. D11×#102C22semidirect
185. #10622380C22semidirect
186. #10622380C22semidirect
187. #10622378C22semidirect
188. #10622374C22semidirect
189. #10622371C22semidirect
190. #10622370C22semidirect
191. #10622352C22semidirect
192. #10622352C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622341C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622312C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
739. #3322D11semidirect
915. #553C2×D11semidirect
958. #488C2×D11semidirect
965. #485C2×D11semidirect
971. #480C2×D11semidirect
973. #478C2×D11semidirect
980. #469C2×D11semidirect
983. #468C2×D11semidirect
997. #463C2×D11semidirect
1035. #449C2×D11semidirect
1039. #447C2×D11semidirect
1047. C4×D8C2×D11semidirect
1049. #436C2×D11semidirect
1058. #418C2×D11semidirect
1061. #417C2×D11semidirect
1669. C11#61613semidirect

Maximal subgroups

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

subgroupindex
#130829032
#130822532
#130809282
#130807092
#130807002
#130806532
#130805862
#130805312
#130804502
#130803372
#130803272
#130802642
#130802542
#130801782
#130801692
#130801362
#130801222
#130797222
#130797022
#130795102
#130794932
#130794522
#130793962
#130788702
#130787962
#130779152
#130778942
#130778772
#130778312
#130776602
C11×#33222
#6161311