Finite Group Databasebeta

← #15631753

Subgroups — #15631753

Order 2816.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082534C211yesmaximal, characteristic, complemented
2#13082376C211yesmaximal, characteristic, complemented
3#13080832C211yesmaximal, characteristic, complemented
4#13080831C211yesmaximal, characteristic, complemented
5#13080822C211yesmaximal, characteristic, complemented
6#13080811C211yesmaximal, characteristic, complemented
7#13080763C211yesmaximal, characteristic, complemented
8#13080750C211yesmaximal, characteristic, complemented
9#13080715C211yesmaximal, characteristic, complemented
10#13080708C211yesmaximal, characteristic, complemented
11#13080640C211yesmaximal, characteristic, complemented
12#13080633C211yesmaximal, characteristic, complemented
13#13080598C211yesmaximal, characteristic, complemented
14#13080585C211yesmaximal, characteristic, complemented
15#13080473C211yesmaximal, characteristic, complemented
16#13080453C211yesmaximal, characteristic, complemented
17#13080448C211yesmaximal, characteristic, complemented
18#13079013C211yesmaximal, characteristic, complemented
19#13078608C211yesmaximal, characteristic, complemented
20#13078595C211yesmaximal, characteristic, complemented
21D11×#478C211yesmaximal, characteristic, complemented
22#13078281C211yesmaximal, characteristic, complemented
23#13078273C211yesmaximal, characteristic, complemented
24#13078068C211yesmaximal, characteristic, complemented
25#13077918C211yesmaximal, characteristic, complemented
26#13077915C211yesmaximal, characteristic, complemented
27C4×#66964C211yesmaximal, characteristic, complemented
28#13077355C211yesmaximal, characteristic, complemented
29#13077138C211yesmaximal, characteristic, complemented
30#13077137C211yesmaximal, characteristic, complemented
31C11×#3297C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623355C2211yescharacteristic
37D4×C22⋊D11C2211yescharacteristic
38C2×#66969C2211yescharacteristic, complemented
39C2×#66965C2211yescharacteristic, complemented
40C2×#66964C2211yescharacteristic
41C2×#66954C2211yescharacteristic, complemented
42C2×#66954C2211yescharacteristic, complemented
43#10623240—21no—
44#10623232—21no—
45#10623225C2211yescharacteristic, complemented
46D11×#125C2211yescharacteristic, complemented
47#10623207C2211yescharacteristic
48#10623199C2211yescharacteristic
49#10623192—21no—
50#10623186—21no—
51#10623184—21no—
52#10623180—21no—
53#10623162C2211yescharacteristic
54#10623160C2211yescharacteristic
55#10623149C2211yescharacteristic, complemented
56#10623146—21no—
57#10623145—21no—
58#10623145C2211yescharacteristic, complemented
59#10623141—21no—
60#10623140C2211yescharacteristic
61#10623139C2211yescharacteristic
62#10623139C2211yescharacteristic, complemented
63#10623139C2211yescharacteristic, complemented
64D11×#121—21no—
65#10623121—21no—
66#10623120—21no—
67#10623089—21no—
68#10623089C2211yescharacteristic, complemented
69#10623085C2211yescharacteristic
70#10623081C2211yescharacteristic
71#10623079C2211yescharacteristic
72C4×D4×D11C2211yescharacteristic
73#10623072C2211yescharacteristic, complemented
74#10623069—21no—
75C4×#4341C2211yescharacteristic, complemented
76#10623060C2211yescharacteristic, complemented
77#10623054C2211yescharacteristic, complemented
78#10623044C2211yescharacteristic, complemented
79#10623035C2211yescharacteristic, complemented
80#10623021—21no—
81C2×#66937—21no—
82C11×#488C2211yescharacteristic, complemented
83C11×#484C2211yescharacteristic, complemented
84C11×#482C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#466C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#447C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic, complemented
92C8×D4×C11C2211yescharacteristic, complemented
93C11×#416C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622831C2211yescharacteristic, complemented
98#10622828C2211yescharacteristic, complemented
99#10622785C2211yescharacteristic, complemented
100#10622784C2211yescharacteristic, complemented
101#10622775C2211yescharacteristic, complemented
102#10622771C2211yescharacteristic, complemented
103#10622770C2211yescharacteristic, complemented
104#10622769C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic, complemented
106#10622765C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622729C2211yescharacteristic, complemented
109#10622727C2211yescharacteristic, complemented
110#10622726C2211yescharacteristic, complemented
111C2×#66885C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113#10622724C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622669C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622658C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622655C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic, complemented
123#10622650C2211yescharacteristic, complemented
124#10622649C2211yescharacteristic, complemented
125#10622647C2211yescharacteristic, complemented
126C4×#4324C2211yescharacteristic, complemented
127#10622629C2211yescharacteristic, complemented
128C4×#4323C2211yescharacteristic, complemented
129#10622625C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622614C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622502C2211yescharacteristic, complemented
137#10622501C2211yescharacteristic, complemented
138#10622500C2211yescharacteristic, complemented
139#10622498C2211yescharacteristic, complemented
140#10622495C2211yescharacteristic, complemented
141#10622494C2211yescharacteristic, complemented
142D11×#107C2211yescharacteristic, complemented
143#10622484C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622475C2211yescharacteristic, complemented
146D11×#106C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622428C2211yescharacteristic, complemented
153#10622423C2211yescharacteristic, complemented
154#10622422C2211yescharacteristic, complemented
155#10622417C2211yescharacteristic, complemented
156#10622417C2211yescharacteristic, complemented
157#10622416C2211yescharacteristic, complemented
158#10622416C2211yescharacteristic, complemented
159#10622416C2211yescharacteristic, complemented
160#10622410C2211yescharacteristic, complemented
161#10622410C2211yescharacteristic, complemented
162#10622406C2211yescharacteristic, complemented
163#10622398C2211yescharacteristic, complemented
164#10622396C2211yescharacteristic, complemented
165#10622395C2211yescharacteristic, complemented
166#10622393C2211yescharacteristic, complemented
167#10622393C2211yescharacteristic, complemented
168#10622392C2211yescharacteristic, complemented
169#10622390C2211yescharacteristic, complemented
170#10622389C2211yescharacteristic, complemented
171#10622389C2211yescharacteristic, complemented
172#10622385C2211yescharacteristic, complemented
173#10622385C2211yescharacteristic, complemented
174#10622384C2211yescharacteristic, complemented
175#10622384C2211yescharacteristic, complemented
176#10622384C2211yescharacteristic, complemented
177#10622384C2211yescharacteristic, complemented
178#10622383C2211yescharacteristic
179#10622383C2211yescharacteristic, complemented
180#10622383C2211yescharacteristic, complemented
181D11×#102C2211yescharacteristic
182D11×#102C2211yescharacteristic
183D11×#102C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic, complemented
185#10622379C2211yescharacteristic, complemented
186#10622377C2211yescharacteristic, complemented
187#10622377C2211yescharacteristic, complemented
188#10622376C2211yescharacteristic, complemented
189#10622375C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622341C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622334C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202C4×#4313C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208#67042—24no—
209#67042—42no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212#67037—24no—
213#67037—42no—
214C2×#4341—21no—
215C2×#4341C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44—21no—
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C2×C11×SD16C2311yescharacteristic
233C2×C11×D8C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C22×C8×C11C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
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—
257#66999C2311yescharacteristic
258#66997C2311yescharacteristic
259C2×#4326C2311yescharacteristic
260#66993D411yescharacteristic
261#66993C2311yescharacteristic
262#66992—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66991—21no—
269#66991—21no—
270#66991—21no—
271#66991—21no—
272#66991D411yescharacteristic
273#66991C2311yescharacteristic
274#66991C2311yescharacteristic
275#66991C2311yescharacteristic
276#66990—21no—
277#66990—21no—
278#66990—21no—
279#66988—21no—
280#66988—21no—
281#66988—21no—
282D4×Dic11—21no—
283D4×Dic11C2311yescharacteristic
284D4×Dic11C2311yescharacteristic
285C2×#4324C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4324C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290#66983—21no—
291#66983C2311yescharacteristic
292#66982—21no—
293#66982—21no—
294#66982—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11C2311yescharacteristic
301C4×C22⋊D11C2311yescharacteristic
302C2×(C2×D11)⋊C4—21no—
303#66979—21no—
304#66979C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306#66977C2311yescharacteristic
307#66977C2311yescharacteristic
308#66977C2311yescharacteristic
309C2×Dic11⋊C4—21no—
310C2×C4×Dic11—21no—
311C2×#4318C2311yescharacteristic
312C2×#4318C2311yescharacteristic
313#66969—42no—
314#66965—42no—
315#66964—24no—
316C2×Dic44C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×#4314C2311yescharacteristic
319#66954—42no—
320#66954—42no—
321C2×#4313C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×#4313C2311yescharacteristic
324C2×#4313C2311yescharacteristic
325C2×C8×D11C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328C2×C8×D11C2311yescharacteristic
329#66951—21no—
330#66951—21no—
331#66950C2311yescharacteristic
332#66950C2311yescharacteristic
333#66950C2311yescharacteristic
334#66949—21no—
335#66948—21no—
336#66948D411yescharacteristic
337#66948C2311yescharacteristic
338#66947—21no—
339#66947—21no—
340#66947—21no—
341#66946—21no—
342#66946C2311yescharacteristic
343#66945—21no—
344#66945C2311yescharacteristic
345#66945C2311yescharacteristic
346#66945C2311yescharacteristic
347C4⋊C4×D11—21no—
348C4⋊C4×D11—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11C2311yescharacteristic
351C4⋊C4×D11C2311yescharacteristic
352C4⋊C4×D11C2311yescharacteristic
353C4⋊C4×D11C2311yescharacteristic
354C4⋊C4×D11C2311yescharacteristic
355#66943—21no—
356#66943C2311yescharacteristic
357#66943C2311yescharacteristic
358#66942—21no—
359#66942—21no—
360#66942—21no—
361#66942—21no—
362#66941D411yescharacteristic
363#66940—21no—
364#66940C2311yescharacteristic
365#66939—21no—
366#66939—21no—
367#66938D411yescharacteristic
368#66938D411yescharacteristic
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937D411yescharacteristic
382#66937D411yescharacteristic
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66935—21no—
387#66935—21no—
388#66935—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399#66932—21no—
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66932—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66930—21no—
408#66930—21no—
409#66928C2311yescharacteristic
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413#66925—21no—
414C42×D11C2311yescharacteristic
415#66923—21no—
416#66923C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66881C2311yescharacteristic
460#66881C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486C4×C11⋊C8C2311yescharacteristic
487#61201—111nomaximal, Sylow
488C24×C11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C11×#41—22no—
494C11×#41—41no—
495C2×Q8×C11C2411yescharacteristic
496C2×D4×C11—22no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—41no—
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11C2411yescharacteristic
512C22×C4×C11C2411yescharacteristic
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—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⋊D11—82no—
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541#4343—22no—
542#4343—22no—
543#4343—22no—
544#4343—41no—
545#4341—22no—
546#4341—22no—
547#4341—22no—
548#4341—22no—
549#4341—22no—
550#4341—41no—
551#4341—44no—
552D4×D11—22no—
553D4×D11—22no—
554D4×D11—22no—
555D4×D11—41no—
556D4×D11—41no—
557D4×D11—44no—
558D4×D11—44no—
559D4×D11—44no—
560D4×D11—82no—
561D4×D11#4114yes—
562#4339—22no—
563#4339—22no—
564#4339—22no—
565#4339—22no—
566#4339—22no—
567#4339—41no—
568#4339—44no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—22no—
573C2×D44—21no—
574C2×D44—41no—
575C2×D44—44no—
576C2×D44C2×D411yescharacteristic
577C2×D44C2×D411yescharacteristic
578C2×D44C2×D411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—82no—
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×Dic22C2×D411yescharacteristic
598C2×Dic22C2×D411yescharacteristic
599C2×Dic22C2411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C11×SD16—41no—
602C11×D8—22no—
603C11×D8—41no—
604C2×C8×C11—41no—
605C2×C8×C11—41no—
606C2×C8×C11C2411yescharacteristic
607C2×C8×C11C2411yescharacteristic
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4C2×D411yescharacteristic
615C11×C4⋊C4C2411yescharacteristic
616C11×C4⋊C4C2411yescharacteristic
617C11×C4⋊C4C2411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
629C11×C22⋊C4C2×D411yescharacteristic
630C42×C11—21no—
631C42×C11C2411yescharacteristic
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11C2×D411yescharacteristic
642C22⋊Dic11C2×D411yescharacteristic
643#4326—41no—
644#4324—22no—
645#4324—41no—
646#4324—41no—
647#4323—22no—
648#4323—41no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4C2×D411yescharacteristic
663(C2×D11)⋊C4C2×D411yescharacteristic
664(C2×D11)⋊C4C2×D411yescharacteristic
665(C2×D11)⋊C4C2×D411yescharacteristic
666C4⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11C2×D411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674C4⋊Dic11C2411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4C2×D411yescharacteristic
695Dic11⋊C4C2×D411yescharacteristic
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706#4318—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711Dic44—41no—
712#4314—22no—
713#4314—41no—
714#4313—22no—
715#4313—22no—
716#4313—41no—
717#4313—41no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—41no—
721C8×D11—41no—
722#3512—111no—
723#3496—111no—
724#3323—111no—
725#3323—111no—
726#3322—111no—
727#3322—111no—
728#3318—111no—
729#3318—111no—
730#3315—111no—
731#3315—111no—
732#3310—111no—
733#3310—111no—
734#3307—111no—
735#3307—111no—
736#3297—111no—
737#3297D1111yescharacteristic, complemented
738#3296—111no—
739#3296—111no—
740#3142—111no—
741#3099—111no—
742#3098—111no—
743C2×#478—111no—
744#3061—111no—
745#3060—111no—
746#3035—111no—
747#3012—111no—
748#3012—111no—
749C4×AGL(1,ℤ/8)—111no—
750#2935—111no—
751#2897—111no—
752#2897—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11—21no—
756C23×C11—42no—
757C23×C11—81no—
758C23×C11—81no—
759C23×C11C22×D411yescharacteristic
760C23×C11C22×D411yescharacteristic
761C22×D11—21no—
762C22×D11—24no—
763C22×D11—21no—
764C22×D11—42no—
765C22×D11—42no—
766C22×D11—42no—
767C22×D11—81no—
768C22×D11—81no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11—81no—
772C22×D11—81no—
773C22×D11—81no—
774C22×D11—81no—
775C22×D11C22×D411yescharacteristic
776C22×D11C22×D411yescharacteristic
777C22×D11C22×D411yescharacteristic
778Q8×C11—21no—
779Q8×C11—21no—
780D4×C11—21no—
781D4×C11—21no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—41no—
786D4×C11—42no—
787D4×C11—42no—
788D4×C11—81no—
789D4×C11—81no—
790D4×C11—81no—
791D4×C11C2×#4112yes—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—42no—
802C2×C4×C11—81no—
803C2×C4×C11—81no—
804C2×C4×C11—81no—
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C2511yescharacteristic
810C22⋊D11—22no—
811C22⋊D11—22no—
812C22⋊D11—22no—
813C22⋊D11—22no—
814C22⋊D11—24no—
815C22⋊D11—41no—
816C22⋊D11—41no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—42no—
836C2×Dic11—42no—
837C2×Dic11—42no—
838C2×Dic11—42no—
839C2×Dic11—81no—
840C2×Dic11—81no—
841C2×Dic11C22×D411yescharacteristic
842C2×Dic11C22×D411yescharacteristic
843C2×Dic11C22×D411yescharacteristic
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846D44—22no—
847D44—22no—
848D44—21no—
849D44—21no—
850D44—21no—
851D44—41no—
852D44—42no—
853D44—42no—
854D44—42no—
855D44—81no—
856D44C2×#4112yes—
857C4×D11—21no—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—41no—
862C4×D11—41no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—81no—
868C4×D11—81no—
869C4×D11—81no—
870C4×D11—81no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11C2×#4112yes—
874C4×D11H(5,𝔽2)12yes—
875Dic22—22no—
876Dic22—22no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881C8×C11—21no—
882C8×C11—21no—
883C8×C11—21no—
884C8×C11—21no—
885C11⋊C8—21no—
886C11⋊C8—21no—
887C11⋊C8—21no—
888C11⋊C8—21no—
889C2×H(5,𝔽2)—111no—
890C2×H(5,𝔽2)—111no—
891C2×AGL(1,ℤ/8)—111no—
892C2×#135—111no—
893C2×#135—111no—
894C2×#131—111no—
895C2×#131—111no—
896#553—111no—
897#553—111no—
898#553—111no—
899#553—221no—
900#553—221no—
901#553—221no—
902#553—221no—
903#553C2×D1111yescharacteristic, complemented
904#552—111no—
905#552—111no—
906#552—111no—
907#552—111no—
908#547—111no—
909#547—111no—
910#547—221no—
911#546—111no—
912#546—111no—
913#546—111no—
914#546—221no—
915#546—221no—
916#546C2×D1111yescharacteristic
917D42—111no—
918D42—111no—
919D42—221no—
920#541—221no—
921#540—221no—
922#537—111no—
923#537—111no—
924#537—111no—
925#537—111no—
926#534—221no—
927#534—221no—
928#532—111no—
929#532—111no—
930#529—221no—
931#529—221no—
932C2×#125—111no—
933C2×#121—221no—
934C2×#121—221no—
935#520—111no—
936#520—111no—
937C4×#41—111no—
938C2×C4×D4—111no—
939#491—111no—
940#491—111no—
941#490—111no—
942#490—111no—
943#488—111no—
944#488—111no—
945#488—111no—
946#488C2×D1111yescharacteristic, complemented
947#485—111no—
948#485—111no—
949#485—111no—
950#485—111no—
951#484—111no—
952#484C2×D1111yescharacteristic, complemented
953#483—111no—
954#483—111no—
955#482—111no—
956#482—111no—
957#482—111no—
958#482C2×D1111yescharacteristic, complemented
959#481—111no—
960#481—111no—
961#480—111no—
962#480—111no—
963#478—111no—
964#478—111no—
965#478—111no—
966#478—111no—
967#478—111no—
968#478—111no—
969#478—111no—
970#478C2×D1111yescharacteristic, complemented
971#470—111no—
972#470—111no—
973#469—111no—
974#469—111no—
975#468—111no—
976#468—111no—
977#468—111no—
978#468—111no—
979#467—111no—
980#467—111no—
981#466—111no—
982#466C2×D1111yescharacteristic, complemented
983#465—111no—
984#465—111no—
985#465—111no—
986#465C2×D1111yescharacteristic, complemented
987#464—111no—
988#464—111no—
989#463—111no—
990#463C2×D1111yescharacteristic, complemented
991#462—111no—
992#461—111no—
993#460—111no—
994#459—111no—
995#452—111no—
996#452—111no—
997#452—111no—
998#452—111no—
999#450—111no—
1000#450—111no—
1001#450—111no—
1002#450—111no—
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449C2×D1111yescharacteristic, complemented
1007#447—111no—
1008#447—111no—
1009#447—111no—
1010#447C2×D1111yescharacteristic, complemented
1011#442—111no—
1012#442—111no—
1013#440—111no—
1014#440—111no—
1015C4×SD16—111no—
1016C4×SD16—111no—
1017C4×D8—111no—
1018C4×D8C2×D1111yescharacteristic, complemented
1019#436—111no—
1020#436—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024#435—111no—
1025C8×D4—111no—
1026C8×D4C2×D1111yescharacteristic, complemented
1027#428—111no—
1028C2×#107—111no—
1029C2×#106—111no—
1030C2×C4⋊C8—111no—
1031#418—111no—
1032#418—111no—
1033#418—111no—
1034#418—111no—
1035#418—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417—111no—
1041#417—111no—
1042#417—111no—
1043#417—111no—
1044#417—111no—
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048#416—111no—
1049#416—111no—
1050#416C2×D1111yescharacteristic, complemented
1051C2×#102—111no—
1052C2×#102—111no—
1053C2×#102—111no—
1054C2×#102—111no—
1055C2×#102—111no—
1056C2×#102C2×D1111yescharacteristic, complemented
1057#408—111no—
1058#408—111no—
1059C4×M16—111no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—21no—
1066C22×C11—22no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—162no—
1076C22×C11C23×D411yescharacteristic
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—21no—
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—22no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—41no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—84no—
1092C2×D11—162no—
1093C2×D11—162no—
1094C2×D11—162no—
1095C2×D11#54612yes—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11—41no—
1105C4×C11C22×#4111yescharacteristic
1106C4×C11C2×H(5,𝔽2)11yescharacteristic
1107Dic11—21no—
1108Dic11—21no—
1109Dic11—21no—
1110Dic11—21no—
1111Dic11—41no—
1112Dic11—41no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11—41no—
1117Dic11#54612yes—
1118H(5,𝔽2)—224no—
1119H(5,𝔽2)—224no—
1120H(5,𝔽2)—442no—
1121H(5,𝔽2)—442no—
1122C2×#41—111no—
1123C2×#41—111no—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—221no—
1131C2×#41—221no—
1132C2×#41C22×D1111yescharacteristic
1133C22×D4—111no—
1134C22×D4—111no—
1135C22×D4—111no—
1136C22×D4—111no—
1137C22×D4—221no—
1138C22×D4—221no—
1139C22×D4—221no—
1140C22×D4—221no—
1141C22×D4—221no—
1142C22×D4—221no—
1143C22×D4—221no—
1144C22×D4—221no—
1145C22×D4C22×D1111yescharacteristic
1146C23×C4—221no—
1147AGL(1,ℤ/8)—224no—
1148#135—442no—
1149#135—442no—
1150C2×Q16—111no—
1151C2×Q16—111no—
1152C2×SD16—111no—
1153C2×SD16—111no—
1154C2×SD16—111no—
1155C2×SD16—111no—
1156C2×SD16—111no—
1157C2×SD16C22×D1111yescharacteristic
1158C2×D8—111no—
1159C2×D8—111no—
1160C2×D8C22×D1111yescharacteristic
1161C2×D8C22×D1111yescharacteristic
1162#131—442no—
1163#131—442no—
1164C2×M16—111no—
1165C2×M16—111no—
1166C2×M16—111no—
1167C2×M16—111no—
1168C2×M16—111no—
1169C2×M16—111no—
1170C22×C8—111no—
1171C22×C8—111no—
1172C22×C8—111no—
1173C22×C8—111no—
1174C22×C8C22×D1111yescharacteristic
1175C22×C8C22×D1111yescharacteristic
1176C4⋊Q8—111no—
1177C4⋊Q8—111no—
1178#127—111no—
1179#127—111no—
1180#126—21no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#126—221no—
1187#126—221no—
1188#125—111no—
1189#125—111no—
1190#125—111no—
1191#125—221no—
1192#125—221no—
1193#125—221no—
1194#125—221no—
1195#125—221no—
1196#125—221no—
1197#125C22×D1111yescharacteristic
1198#124—111no—
1199#124—111no—
1200#124—111no—
1201#124C22×D1111yescharacteristic
1202#123—21no—
1203#123—21no—
1204#123—221no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218C22⋊Q8—111no—
1219C22⋊Q8—111no—
1220C22⋊Q8—111no—
1221C22⋊Q8—111no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—221no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8C22×D1111yescharacteristic
1230#121—21no—
1231#121—21no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121—221no—
1263#121—221no—
1264#121—221no—
1265#121C22×D1111yescharacteristic
1266#121C22×D1111yescharacteristic
1267#121C22×D1111yescharacteristic
1268#120—21no—
1269#120—221no—
1270#120—221no—
1271#120—221no—
1272#120—221no—
1273#120—221no—
1274#120—221no—
1275#120—221no—
1276C4×Q8—111no—
1277C4×Q8—111no—
1278C4×Q8—221no—
1279C4×Q8—221no—
1280C4×D4—21no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—111no—
1287C4×D4—111no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4C22×D1111yescharacteristic
1304C4×D4C22×D1111yescharacteristic
1305C4×D4C22×D1111yescharacteristic
1306#117—111no—
1307#117—111no—
1308#117—111no—
1309#117—111no—
1310#117—221no—
1311#117—221no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—221no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4C22×D1111yescharacteristic
1327C2×C22⋊C4—21no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C42—111no—
1333C2×C42—221no—
1334#107—111no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107C22×D1111yescharacteristic
1339#107C22×D1111yescharacteristic
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343#106—111no—
1344#106—111no—
1345#106C22×D1111yescharacteristic
1346C4⋊C8—111no—
1347C4⋊C8—111no—
1348C4⋊C8—111no—
1349C4⋊C8C22×D1111yescharacteristic
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103C22×D1111yescharacteristic
1362#103C22×D1111yescharacteristic
1363#103C22×D1111yescharacteristic
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102C22×D1111yescharacteristic
1384#102C22×D1111yescharacteristic
1385#102C22×D1111yescharacteristic
1386#102C22×D1111yescharacteristic
1387#102C22×D1111yescharacteristic
1388#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390C22⋊C8—111no—
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8C22×D1111yescharacteristic
1397C22⋊C8C22×D1111yescharacteristic
1398#97—111no—
1399#97—111no—
1400C4×C8—111no—
1401C4×C8C22×D1111yescharacteristic
1402C2×C11—42no—
1403C2×C11—41no—
1404C2×C11—41no—
1405C2×C11—81no—
1406C2×C11—81no—
1407C2×C11C2×#54611yescharacteristic
1408C2×C11#358411yescharacteristic
1409C2×C11#358511yescharacteristic
1410D11—22no—
1411D11—41no—
1412D11—41no—
1413D11—42no—
1414D11—81no—
1415C24—21no—
1416C24—221no—
1417C24—221no—
1418C24—221no—
1419C24—221no—
1420#41—22no—
1421#41—41no—
1422#41—222no—
1423#41—222no—
1424#41—222no—
1425#41—222no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—441no—
1436#41—444no—
1437#41—441no—
1438#41—441no—
1439#41—444no—
1440C2×Q8—111no—
1441C2×Q8—111no—
1442C2×Q8—111no—
1443C2×Q8—111no—
1444C2×Q8C23×D1111yescharacteristic
1445C2×D4—22no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—41no—
1452C2×D4—114no—
1453C2×D4—111no—
1454C2×D4—111no—
1455C2×D4—111no—
1456C2×D4—111no—
1457C2×D4—111no—
1458C2×D4—111no—
1459C2×D4—111no—
1460C2×D4—111no—
1461C2×D4—111no—
1462C2×D4—111no—
1463C2×D4—111no—
1464C2×D4—222no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—222no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—222no—
1475C2×D4—222no—
1476C2×D4—221no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—441no—
1486C2×D4—444no—
1487C2×D4—441no—
1488C2×D4—441no—
1489C2×D4—444no—
1490C2×D4—444no—
1491C2×D4—444no—
1492C2×D4—444no—
1493C2×D4—444no—
1494C2×D4—882no—
1495C2×D4—882no—
1496C2×D4D4×D1111yescharacteristic
1497C2×D4C23×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C2×D4C23×D1111yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—221no—
1513C22×C4—221no—
1514C22×C4—221no—
1515C22×C4—221no—
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—882no—
1526C22×C4C23×D1111yescharacteristic
1527C22×C4C23×D1111yescharacteristic
1528Q16—441no—
1529Q16—441no—
1530SD16—41no—
1531SD16—222no—
1532SD16—222no—
1533SD16—441no—
1534SD16—441no—
1535SD16—441no—
1536D8—22no—
1537D8—41no—
1538D8—222no—
1539D8—441no—
1540M16—222no—
1541M16—222no—
1542M16—441no—
1543M16—441no—
1544M16—441no—
1545M16—441no—
1546C2×C8—41no—
1547C2×C8—41no—
1548C2×C8—111no—
1549C2×C8—111no—
1550C2×C8—111no—
1551C2×C8—111no—
1552C2×C8—222no—
1553C2×C8—222no—
1554C2×C8—441no—
1555C2×C8—441no—
1556C2×C8C23×D1111yescharacteristic
1557C2×C8C23×D1111yescharacteristic
1558C2×C8C23×D1111yescharacteristic
1559C2×C8C23×D1111yescharacteristic
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—111no—
1565C4⋊C4—111no—
1566C4⋊C4—111no—
1567C4⋊C4—111no—
1568C4⋊C4—111no—
1569C4⋊C4—111no—
1570C4⋊C4—111no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4D4×D1111yescharacteristic
1595C4⋊C4C23×D1111yescharacteristic
1596C4⋊C4C23×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C4⋊C4C23×D1111yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—111no—
1609C22⋊C4—111no—
1610C22⋊C4—111no—
1611C22⋊C4—111no—
1612C22⋊C4—111no—
1613C22⋊C4—111no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4D4×D1111yescharacteristic
1637C22⋊C4D4×D1111yescharacteristic
1638C42—21no—
1639C42—111no—
1640C42—111no—
1641C42—111no—
1642C42—221no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C11#6120111yescharacteristic, complemented, Sylow
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—42no—
1654C23—81no—
1655C23—81no—
1656C23—111no—
1657C23—111no—
1658C23—111no—
1659C23—224no—
1660C23—221no—
1661C23—221no—
1662C23—442no—
1663C23—442no—
1664C23—442no—
1665C23—881no—
1666C23—881no—
1667C23—881no—
1668C23—881no—
1669C23—881no—
1670C23—881no—
1671C23—881no—
1672C23—881no—
1673C23C2×D4×D1111yescharacteristic
1674C23C2×D4×D1111yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—222no—
1678Q8—222no—
1679Q8—221no—
1680Q8—221no—
1681Q8—221no—
1682Q8—221no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—41no—
1689D4—42no—
1690D4—42no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—112no—
1695D4—222no—
1696D4—222no—
1697D4—224no—
1698D4—222no—
1699D4—222no—
1700D4—222no—
1701D4—222no—
1702D4—221no—
1703D4—221no—
1704D4—221no—
1705D4—441no—
1706D4—442no—
1707D4—442no—
1708D4—442no—
1709D4—441no—
1710D4—441no—
1711D4—442no—
1712D4—442no—
1713D4—442no—
1714D4—442no—
1715D4—442no—
1716D4—442no—
1717D4—442no—
1718D4—881no—
1719D4—881no—
1720D4—881no—
1721D4—881no—
1722D4—881no—
1723D4—881no—
1724D4#41×D1112yes—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—111no—
1739C2×C4—112no—
1740C2×C4—112no—
1741C2×C4—111no—
1742C2×C4—111no—
1743C2×C4—111no—
1744C2×C4—111no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—441no—
1756C2×C4—441no—
1757C2×C4—442no—
1758C2×C4—442no—
1759C2×C4—442no—
1760C2×C4—442no—
1761C2×C4—442no—
1762C2×C4—442no—
1763C2×C4—442no—
1764C2×C4—442no—
1765C2×C4—881no—
1766C2×C4—881no—
1767C2×C4—881no—
1768C2×C4—881no—
1769C2×C4—881no—
1770C2×C4—881no—
1771C2×C4—881no—
1772C2×C4—881no—
1773C2×C4C2×D4×D1111yescharacteristic
1774C2×C4C2×D4×D1111yescharacteristic
1775C2×C4C2×D4×D1111yescharacteristic
1776C2×C4C2×D4×D1111yescharacteristic
1777C2×C4C24×D1111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—221no—
1783C8—221no—
1784C8—221no—
1785C8—221no—
1786C22—21no—
1787C22—21no—
1788C22—22no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—112no—
1802C22—162no—
1803C22—221no—
1804C22—221no—
1805C22—221no—
1806C22—221no—
1807C22—222no—
1808C22—221no—
1809C22—221no—
1810C22—221no—
1811C22—221no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—441no—
1817C22—884no—
1818C22—1762no—
1819C22—1762no—
1820C22—1762no—
1821C22C22×D4×D1111yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—112no—
1832C4—221no—
1833C4—221no—
1834C4—221no—
1835C4—221no—
1836C4—441no—
1837C4—441no—
1838C4—441no—
1839C4—441no—
1840C4—441no—
1841C4—441no—
1842C4C2×#41×D1111yescharacteristic
1843C4D11×H(5,𝔽2)11yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—222no—
1850C2—441no—
1851C2—441no—
1852C2—442no—
1853C2—881no—
1854C2D11×#54611yescharacteristic
1855C2#1308338511yescharacteristic
1856C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3297C2
socleC22×C11C23×D4
hypercenter#3297D11
hypocenterC11#61201
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #13082534C2semidirect
2. #13082376C2semidirect
3. #13080832C2semidirect
4. #13080831C2semidirect
5. #13080822C2semidirect
6. #13080811C2semidirect
7. #13080763C2semidirect
8. #13080750C2semidirect
9. #13080715C2semidirect
10. #13080708C2semidirect
11. #13080640C2semidirect
12. #13080633C2semidirect
13. #13080598C2semidirect
14. #13080585C2semidirect
15. #13080473C2semidirect
16. #13080453C2semidirect
17. #13080448C2semidirect
18. #13079013C2semidirect
19. #13078608C2semidirect
20. #13078595C2semidirect
21. D11×#478C2semidirect
22. #13078281C2semidirect
23. #13078273C2semidirect
24. #13078068C2semidirect
25. #13077918C2semidirect
26. #13077915C2semidirect
27. C4×#66964C2semidirect
28. #13077355C2semidirect
29. #13077138C2semidirect
30. #13077137C2semidirect
31. C11×#3297C2semidirect
34. C11×#553C22semidirect
38. C2×#66969C22semidirect
39. C2×#66965C22semidirect
41. C2×#66954C22semidirect
42. C2×#66954C22semidirect
45. #10623225C22semidirect
46. D11×#125C22semidirect
55. #10623149C22semidirect
58. #10623145C22semidirect
62. #10623139C22semidirect
63. #10623139C22semidirect
68. #10623089C22semidirect
73. #10623072C22semidirect
75. C4×#4341C22semidirect
76. #10623060C22semidirect
77. #10623054C22semidirect
78. #10623044C22semidirect
79. #10623035C22semidirect
82. C11×#488C22semidirect
83. C11×#484C22semidirect
84. C11×#482C22semidirect
85. C11×#478C22semidirect
86. C11×#466C22semidirect
87. C11×#465C22semidirect
88. C11×#463C22semidirect
89. C11×#449C22semidirect
90. C11×#447C22semidirect
91. C4×C11×D8C22semidirect
92. C8×D4×C11C22semidirect
93. C11×#416C22semidirect
94. C2×C11×#102C22semidirect
95. #10622852C22semidirect
96. #10622845C22semidirect
97. #10622831C22semidirect
98. #10622828C22semidirect
99. #10622785C22semidirect
100. #10622784C22semidirect
101. #10622775C22semidirect
102. #10622771C22semidirect
103. #10622770C22semidirect
104. #10622769C22semidirect
105. #10622769C22semidirect
106. #10622765C22semidirect
107. #10622763C22semidirect
108. #10622729C22semidirect
109. #10622727C22semidirect
110. #10622726C22semidirect
111. C2×#66885C22semidirect
112. #10622724C22semidirect
113. #10622724C22semidirect
114. #10622681C22semidirect
115. #10622679C22semidirect
116. #10622669C22semidirect
117. #10622667C22semidirect
118. #10622665C22semidirect
119. #10622658C22semidirect
120. #10622655C22semidirect
121. #10622655C22semidirect
122. #10622652C22semidirect
123. #10622650C22semidirect
124. #10622649C22semidirect
125. #10622647C22semidirect
126. C4×#4324C22semidirect
127. #10622629C22semidirect
128. C4×#4323C22semidirect
129. #10622625C22semidirect
130. #10622622C22semidirect
131. #10622614C22semidirect
132. #10622609C22semidirect
133. #10622580C22semidirect
134. #10622579C22semidirect
135. #10622504C22semidirect
136. #10622502C22semidirect
137. #10622501C22semidirect
138. #10622500C22semidirect
139. #10622498C22semidirect
140. #10622495C22semidirect
141. #10622494C22semidirect
142. D11×#107C22semidirect
143. #10622484C22semidirect
144. #10622477C22semidirect
145. #10622475C22semidirect
146. D11×#106C22semidirect
147. #10622460C22semidirect
148. #10622458C22semidirect
149. #10622447C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622429C22semidirect
152. #10622428C22semidirect
153. #10622423C22semidirect
154. #10622422C22semidirect
155. #10622417C22semidirect
156. #10622417C22semidirect
157. #10622416C22semidirect
158. #10622416C22semidirect
159. #10622416C22semidirect
160. #10622410C22semidirect
161. #10622410C22semidirect
162. #10622406C22semidirect
163. #10622398C22semidirect
164. #10622396C22semidirect
165. #10622395C22semidirect
166. #10622393C22semidirect
167. #10622393C22semidirect
168. #10622392C22semidirect
169. #10622390C22semidirect
170. #10622389C22semidirect
171. #10622389C22semidirect
172. #10622385C22semidirect
173. #10622385C22semidirect
174. #10622384C22semidirect
175. #10622384C22semidirect
176. #10622384C22semidirect
177. #10622384C22semidirect
179. #10622383C22semidirect
180. #10622383C22semidirect
183. D11×#102C22semidirect
184. D11×#102C22semidirect
185. #10622379C22semidirect
186. #10622377C22semidirect
187. #10622377C22semidirect
188. #10622376C22semidirect
189. #10622375C22semidirect
190. #10622370C22semidirect
191. #10622350C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
194. #10622341C22semidirect
195. #10622341C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. #10622334C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622301C22semidirect
202. C4×#4313C22semidirect
737. #3297D11semidirect
903. #553C2×D11semidirect
946. #488C2×D11semidirect
952. #484C2×D11semidirect
958. #482C2×D11semidirect
970. #478C2×D11semidirect
982. #466C2×D11semidirect
986. #465C2×D11semidirect
990. #463C2×D11semidirect
1006. #449C2×D11semidirect
1010. #447C2×D11semidirect
1018. C4×D8C2×D11semidirect
1026. C8×D4C2×D11semidirect
1050. #416C2×D11semidirect
1056. C2×#102C2×D11semidirect
1649. C11#61201semidirect

Maximal subgroups

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

subgroupindex
#130825342
#130823762
#130808322
#130808312
#130808222
#130808112
#130807632
#130807502
#130807152
#130807082
#130806402
#130806332
#130805982
#130805852
#130804732
#130804532
#130804482
#130790132
#130786082
#130785952
D11×#4782
#130782812
#130782732
#130780682
#130779182
#130779152
C4×#669642
#130773552
#130771382
#130771372
C11×#32972
#6120111