Finite Group Databasebeta

← #15636701

Subgroups — #15636701

Order 2816.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082663C211yesmaximal, characteristic, complemented
2#13082638C211yesmaximal, characteristic, complemented
3#13081639C211yesmaximal, characteristic, complemented
4#13081510C211yesmaximal, characteristic, complemented
5#13081260C211yesmaximal, characteristic, complemented
6#13081250C211yesmaximal, characteristic, complemented
7#13081209C211yesmaximal, characteristic, complemented
8#13081098C211yesmaximal, characteristic, complemented
9#13081094C211yesmaximal, characteristic, complemented
10#13080542C211yesmaximal, characteristic, complemented
11#13080473C211yesmaximal, characteristic, complemented
12#13080469C211yesmaximal, characteristic, complemented
13#13080437C211yesmaximal, characteristic, complemented
14#13080433C211yesmaximal, characteristic, complemented
15#13080422C211yesmaximal, characteristic, complemented
16#13080214C211yesmaximal, characteristic, complemented
17#13080102C211yesmaximal, characteristic, complemented
18#13080094C211yesmaximal, characteristic, complemented
19#13079305C211yesmaximal, characteristic, complemented
20#13079293C211yesmaximal, characteristic, complemented
21#13079172C211yesmaximal, characteristic, complemented
22#13078821C211yesmaximal, characteristic, complemented
23#13078817C211yesmaximal, characteristic, complemented
24#13078796C211yesmaximal, characteristic, complemented
25#13078713C211yesmaximal, characteristic, complemented
26#13078705C211yesmaximal, characteristic, complemented
27#13077589C211yesmaximal, characteristic, complemented
28#13077448C211yesmaximal, characteristic, complemented
29#13077447C211yesmaximal, characteristic, complemented
30C4×D8×D11C211yesmaximal, characteristic, complemented
31C11×#3118C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic, complemented
33C11×#518C2211yescharacteristic, complemented
34D4×C22⋊D11C2211yescharacteristic
35D4×C22⋊D11C2211yescharacteristic, complemented
36C2×#66985C2211yescharacteristic
37C2×#66967C2211yescharacteristic
38C2×D8×D11C2211yescharacteristic
39#10623261C2211yescharacteristic, complemented
40#10623258C2211yescharacteristic, complemented
41#10623239—21no—
42#10623236—21no—
43#10623210—21no—
44#10623208—21no—
45#10623207C2211yescharacteristic, complemented
46#10623202C2211yescharacteristic, complemented
47#10623191—21no—
48#10623187—21no—
49#10623169—21no—
50#10623166C2211yescharacteristic, complemented
51#10623162C2211yescharacteristic, complemented
52D11×C22⋊Q8—21no—
53#10623143C2211yescharacteristic, complemented
54#10623142C2211yescharacteristic, complemented
55#10623109C2211yescharacteristic, complemented
56#10623105C2211yescharacteristic, complemented
57#10623093C2211yescharacteristic, complemented
58#10623092C2211yescharacteristic, complemented
59#10623091—21no—
60#10623089C2211yescharacteristic
61#10623084C2211yescharacteristic, complemented
62#10623081—21no—
63D4×D44C2211yescharacteristic
64#10623079C2211yescharacteristic
65#10623078—21no—
66#10623076C2211yescharacteristic, complemented
67C4×D4×D11C2211yescharacteristic
68C4×D4×D11C2211yescharacteristic, complemented
69#10623071—21no—
70#10623070C2211yescharacteristic, complemented
71#10623066C2211yescharacteristic, complemented
72#10623063C2211yescharacteristic, complemented
73#10623061C2211yescharacteristic
74#10623059C2211yescharacteristic
75#10623054C2211yescharacteristic, complemented
76#10623025—21no—
77#10623021—21no—
78#10623021—21no—
79C2×#66937—21no—
80C11×#485C2211yescharacteristic, complemented
81C11×#482C2211yescharacteristic, complemented
82C11×#476C2211yescharacteristic, complemented
83C11×#474C2211yescharacteristic, complemented
84C11×#463C2211yescharacteristic
85C11×#463C2211yescharacteristic, complemented
86C11×#450C2211yescharacteristic, complemented
87C11×#447C2211yescharacteristic
88C11×#442C2211yescharacteristic, complemented
89C11×#440C2211yescharacteristic, complemented
90C4×C11×SD16C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic
92C11×#433C2211yescharacteristic, complemented
93C2×#66896C2211yescharacteristic, complemented
94#10622788C2211yescharacteristic, complemented
95#10622785C2211yescharacteristic, complemented
96#10622784C2211yescharacteristic, complemented
97#10622782C2211yescharacteristic
98#10622776C2211yescharacteristic, complemented
99#10622775C2211yescharacteristic, complemented
100SD16×Dic11C2211yescharacteristic, complemented
101#10622770C2211yescharacteristic, complemented
102#10622769C2211yescharacteristic
103#10622769C2211yescharacteristic, complemented
104#10622767C2211yescharacteristic, complemented
105#10622766C2211yescharacteristic
106#10622763C2211yescharacteristic, complemented
107D8×Dic11C2211yescharacteristic
108#10622701C2211yescharacteristic, complemented
109#10622693C2211yescharacteristic, complemented
110#10622671C2211yescharacteristic, complemented
111#10622669C2211yescharacteristic, complemented
112#10622662C2211yescharacteristic, complemented
113#10622661C2211yescharacteristic, complemented
114#10622652C2211yescharacteristic, complemented
115#10622651C2211yescharacteristic, complemented
116#10622639C2211yescharacteristic, complemented
117C4×#4325C2211yescharacteristic, complemented
118#10622631C2211yescharacteristic, complemented
119#10622631C2211yescharacteristic, complemented
120C4×#4324C2211yescharacteristic, complemented
121C4×#4324C2211yescharacteristic, complemented
122#10622627C2211yescharacteristic
123#10622627C2211yescharacteristic, complemented
124#10622627C2211yescharacteristic, complemented
125C4×#4323C2211yescharacteristic
126C4×#4323C2211yescharacteristic, complemented
127C4×#4323C2211yescharacteristic, complemented
128#10622615C2211yescharacteristic, complemented
129#10622610C2211yescharacteristic, complemented
130#10622608C2211yescharacteristic, complemented
131#10622503C2211yescharacteristic, complemented
132#10622503C2211yescharacteristic, complemented
133#10622501C2211yescharacteristic, complemented
134#10622497C2211yescharacteristic, complemented
135#10622494C2211yescharacteristic, complemented
136D11×#107C2211yescharacteristic, complemented
137#10622485C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622477C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622476C2211yescharacteristic, complemented
144#10622476C2211yescharacteristic, complemented
145#10622469C2211yescharacteristic, complemented
146#10622468C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622460C2211yescharacteristic, complemented
149#10622456C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622447C2211yescharacteristic, complemented
152#10622443C2211yescharacteristic, complemented
153#10622442C2211yescharacteristic, complemented
154#10622441C2211yescharacteristic, complemented
155#10622431C2211yescharacteristic, complemented
156#10622430C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622422C2211yescharacteristic, complemented
159#10622420C2211yescharacteristic, complemented
160#10622417C2211yescharacteristic, complemented
161#10622409C2211yescharacteristic, complemented
162#10622405C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic, complemented
164#10622399C2211yescharacteristic, complemented
165#10622399C2211yescharacteristic, complemented
166#10622398C2211yescharacteristic
167#10622395C2211yescharacteristic, complemented
168#10622393C2211yescharacteristic, complemented
169#10622392C2211yescharacteristic, complemented
170#10622391C2211yescharacteristic, complemented
171#10622390C2211yescharacteristic, complemented
172#10622389C2211yescharacteristic
173#10622389C2211yescharacteristic, complemented
174#10622387C2211yescharacteristic, complemented
175#10622386C2211yescharacteristic, complemented
176D11×#102C2211yescharacteristic
177D11×#102C2211yescharacteristic, complemented
178D11×#102C2211yescharacteristic, complemented
179#10622381C2211yescharacteristic, complemented
180#10622374C2211yescharacteristic, complemented
181#10622374C2211yescharacteristic, complemented
182#10622373C2211yescharacteristic, complemented
183#10622373C2211yescharacteristic, complemented
184#10622372C2211yescharacteristic, complemented
185#10622369C2211yescharacteristic
186#10622369C2211yescharacteristic, complemented
187#10622349C2211yescharacteristic, complemented
188#10622348C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic, complemented
190#10622347C2211yescharacteristic, complemented
191#10622342C2211yescharacteristic, complemented
192#10622341C2211yescharacteristic, complemented
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194(C22⋊D11)⋊C8C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622321C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199C4×D88C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C4×C8×D11C2211yescharacteristic, complemented
203C22×D4×C11C2311yescharacteristic
204C22×C22⋊D11—21no—
205C22×C22⋊D11—21no—
206C2×#4343C2311yescharacteristic
207C2×Q8×D11—21no—
208C2×#4341—21no—
209C2×D4×D11C2311yescharacteristic
210C2×D4×D11C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×#4339—21no—
213C2×#4339—21no—
214C2×#4339C2311yescharacteristic
215C22×D44—21no—
216C22×C4×D11—21no—
217C22×C4×D11—21no—
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C11×C4⋊Q8C2311yescharacteristic
223C11×#126—21no—
224C11×#124—21no—
225C11×#124C2311yescharacteristic
226C11×#123—21no—
227C11×C22⋊Q8—21no—
228C11×C22⋊Q8C2311yescharacteristic
229C11×#121C2311yescharacteristic
230C4×Q8×C11C2311yescharacteristic
231C4×D4×C11—21no—
232C4×D4×C11—21no—
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C4×D4×C11C2311yescharacteristic
238C11×#117C2311yescharacteristic
239C11×#117C2311yescharacteristic
240C2×C11×C22⋊C4—21no—
241C2×C11×C22⋊C4—21no—
242#67006—21no—
243#67006—21no—
244#66999—21no—
245#66999—21no—
246#66999—21no—
247#66999C2311yescharacteristic
248Q8×Dic11C2311yescharacteristic
249#66997C2311yescharacteristic
250C2×#4325C2311yescharacteristic
251C2×#4325C2311yescharacteristic
252#66993C2311yescharacteristic
253#66993C2311yescharacteristic
254#66992—21no—
255#66992—21no—
256#66991—21no—
257#66991C2311yescharacteristic
258#66991C2311yescharacteristic
259#66991C2311yescharacteristic
260#66990—21no—
261#66990—21no—
262#66990—21no—
263#66989C2311yescharacteristic
264#66988—21no—
265D4×Dic11C2311yescharacteristic
266D4×Dic11C2311yescharacteristic
267D4×Dic11C2311yescharacteristic
268C2×#4324C2311yescharacteristic
269C2×#4324C2311yescharacteristic
270#66985—24no—
271C2×#4323C2311yescharacteristic
272C2×#4323C2311yescharacteristic
273C2×#4323C2311yescharacteristic
274C2×#4323C2311yescharacteristic
275#66983—21no—
276#66983—21no—
277#66983—21no—
278#66983C2311yescharacteristic
279#66983C2311yescharacteristic
280#66982—21no—
281#66982—21no—
282#66982—21no—
283C4×C22⋊D11—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11C2311yescharacteristic
289C4×C22⋊D11C2311yescharacteristic
290C2×(C2×D11)⋊C4—21no—
291C2×C4⋊Dic11C2311yescharacteristic
292#66977—21no—
293#66977—21no—
294C2×Dic11⋊C4—21no—
295C2×#4318C2311yescharacteristic
296C22×C11⋊C8C2311yescharacteristic
297#66967—24no—
298D8×D11—24no—
299C2×D88C2311yescharacteristic
300C2×D88C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4314C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305C2×C8×D11C2311yescharacteristic
306C2×C8×D11C2311yescharacteristic
307#66951D411yescharacteristic
308#66950—21no—
309#66950C2311yescharacteristic
310#66950C2311yescharacteristic
311#66949—21no—
312#66949—21no—
313#66949—21no—
314#66949D411yescharacteristic
315#66948C2311yescharacteristic
316#66948C2311yescharacteristic
317#66947—21no—
318#66947—21no—
319#66947—21no—
320#66947D411yescharacteristic
321#66946—21no—
322#66946—21no—
323#66946C2311yescharacteristic
324#66946C2311yescharacteristic
325#66946C2311yescharacteristic
326#66946C2311yescharacteristic
327#66945—21no—
328#66945C2311yescharacteristic
329C4⋊C4×D11—21no—
330C4⋊C4×D11—21no—
331C4⋊C4×D11—21no—
332C4⋊C4×D11C2311yescharacteristic
333C4⋊C4×D11C2311yescharacteristic
334C4⋊C4×D11C2311yescharacteristic
335#66943—21no—
336#66943C2311yescharacteristic
337#66942—21no—
338#66942—21no—
339#66942D411yescharacteristic
340#66941C2311yescharacteristic
341#66941C2311yescharacteristic
342#66941C2311yescharacteristic
343#66938—21no—
344#66938—21no—
345#66938—21no—
346#66938D411yescharacteristic
347#66937—21no—
348#66937—21no—
349#66937—21no—
350#66937—21no—
351#66937—21no—
352#66937—21no—
353#66937—21no—
354#66937—21no—
355#66937—21no—
356#66937—21no—
357#66937—21no—
358#66937D411yescharacteristic
359#66936—21no—
360#66936—21no—
361#66936—21no—
362#66936—21no—
363#66936—21no—
364#66936—21no—
365#66936D411yescharacteristic
366#66935—21no—
367#66935—21no—
368#66935—21no—
369(C22⋊D11)⋊C4—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375C22⋊C4×D11—21no—
376C22⋊C4×D11—21no—
377C22⋊C4×D11—21no—
378C22⋊C4×D11—21no—
379C22⋊C4×D11—21no—
380#66932—21no—
381#66932—21no—
382#66932—21no—
383#66932—21no—
384#66932D411yescharacteristic
385#66931—21no—
386#66931—21no—
387#66931—21no—
388#66931—21no—
389#66931—21no—
390#66930—21no—
391#66929—21no—
392#66928—21no—
393#66927C2311yescharacteristic
394C4×D44—21no—
395C4×D44—21no—
396C4×D44C2311yescharacteristic
397C4×D44C2311yescharacteristic
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401#66925—21no—
402#66925—21no—
403#66925—21no—
404#66925C2311yescharacteristic
405C42×D11C2311yescharacteristic
406#66923C2311yescharacteristic
407C4×Dic22—21no—
408C4×Dic22C2311yescharacteristic
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×C4⋊C8C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×#103C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×C22⋊C8C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×#97C2311yescharacteristic
428C4×C8×C11C2311yescharacteristic
429#66899C2311yescharacteristic
430#66899C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439#66885C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443(C2×D11)⋊C8C2311yescharacteristic
444(C2×D11)⋊C8C2311yescharacteristic
445(C2×D11)⋊C8C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447#66882C2311yescharacteristic
448#66882C2311yescharacteristic
449#66881C2311yescharacteristic
450#66881C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66879C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459C8×Dic11C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461#66874C2311yescharacteristic
462#66874C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66867C2311yescharacteristic
478#66867C2311yescharacteristic
479C4×C11⋊C8C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61496—111nomaximal, Sylow
482C24×C11—21no—
483C23×D11—21no—
484C23×D11—21no—
485C23×D11—21no—
486C2×Q8×C11—21no—
487C2×Q8×C11C2411yescharacteristic
488C2×D4×C11—22no—
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—41no—
492C2×D4×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11C2411yescharacteristic
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—82no—
515C2×C22⋊D11—82no—
516C2×C22⋊D11C2×D411yescharacteristic
517C2×C22⋊D11C2×D411yescharacteristic
518C22×Dic11—21no—
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522#4343—22no—
523#4343—41no—
524Q8×D11—82no—
525#4341—82no—
526D4×D11—22no—
527D4×D11—22no—
528D4×D11—22no—
529D4×D11—41no—
530D4×D11—41no—
531D4×D11—41no—
532#4339—22no—
533#4339—41no—
534#4339—82no—
535#4339—82no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—82no—
542C2×D44C2×D411yescharacteristic
543C2×D44C2411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×D44C2411yescharacteristic
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—82no—
560C2×C4×D11—82no—
561C2×C4×D11C2×D411yescharacteristic
562C2×C4×D11C2×D411yescharacteristic
563C2×C4×D11C2411yescharacteristic
564C2×C4×D11C2411yescharacteristic
565C2×Dic22—21no—
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22C2×D411yescharacteristic
569C2×Dic22C2411yescharacteristic
570C11×SD16—22no—
571C11×SD16—41no—
572C11×D8—22no—
573C11×D8—41no—
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C2×C8×C11C2411yescharacteristic
577C2×C8×C11C2411yescharacteristic
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4C2×D411yescharacteristic
582C11×C4⋊C4C2×D411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C4⋊C4C2411yescharacteristic
586C11×C4⋊C4C2411yescharacteristic
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4C2×D411yescharacteristic
598C11×C22⋊C4C2×D411yescharacteristic
599C42×C11—21no—
600C42×C11—21no—
601C42×C11C2411yescharacteristic
602C42×C11C2411yescharacteristic
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11C2×D411yescharacteristic
612C22⋊Dic11C2×D411yescharacteristic
613#4325—22no—
614#4325—41no—
615#4324—22no—
616#4324—22no—
617#4323—22no—
618#4323—22no—
619#4323—41no—
620#4323#4114yescomplemented
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639(C2×D11)⋊C4C2×D411yescharacteristic
640(C2×D11)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643C4⋊Dic11—21no—
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11C2×D411yescharacteristic
649C4⋊Dic11C2×D411yescharacteristic
650C4⋊Dic11C2411yescharacteristic
651C4⋊Dic11C2411yescharacteristic
652C4⋊Dic11C2411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
670Dic11⋊C4C2×D411yescharacteristic
671Dic11⋊C4C2×D411yescharacteristic
672Dic11⋊C4C2×D411yescharacteristic
673Dic11⋊C4C2×D411yescharacteristic
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11C2×D411yescharacteristic
679C4×Dic11C2×D411yescharacteristic
680C4×Dic11C2411yescharacteristic
681C4×Dic11C2411yescharacteristic
682#4318—22no—
683C2×C11⋊C8—41no—
684C2×C11⋊C8C2411yescharacteristic
685C2×C11⋊C8C2411yescharacteristic
686C2×C11⋊C8C2411yescharacteristic
687C2×C11⋊C8C2411yescharacteristic
688D88—22no—
689D88—22no—
690#4314—41no—
691#4314—41no—
692#4313—22no—
693C8×D11—22no—
694C8×D11—41no—
695C8×D11—41no—
696#3520—111no—
697#3519—111no—
698#3397—111no—
699#3384—111no—
700#3360—111no—
701#3358—111no—
702#3354—111no—
703#3346—111no—
704#3346—111no—
705#3303—111no—
706#3297—111no—
707#3297—111no—
708#3295—111no—
709#3295—111no—
710#3294—111no—
711#3272—111no—
712#3264—111no—
713#3264—111no—
714#3179—111no—
715#3179—111no—
716#3167—111no—
717#3119—111no—
718#3119—111no—
719#3118—111no—
720#3118D1111yescharacteristic, complemented
721#3110—111no—
722#3109—111no—
723#2966—111no—
724#2946—111no—
725#2946—111no—
726C2×C4×D8—111no—
727C23×C11—21no—
728C23×C11—21no—
729C23×C11—21no—
730C23×C11—42no—
731C23×C11—81no—
732C23×C11—81no—
733C23×C11C22×D411yescharacteristic
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—42no—
738C22×D11—42no—
739C22×D11—42no—
740C22×D11—42no—
741C22×D11—42no—
742C22×D11—81no—
743C22×D11—81no—
744C22×D11—81no—
745C22×D11—81no—
746C22×D11C22×D411yescharacteristic
747C22×D11C22×D411yescharacteristic
748Q8×C11—21no—
749Q8×C11—21no—
750Q8×C11—81no—
751D4×C11—21no—
752D4×C11—21no—
753D4×C11—21no—
754D4×C11—21no—
755D4×C11—21no—
756D4×C11—42no—
757D4×C11—81no—
758D4×C11C2×#4112yes—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—81no—
767C2×C4×C11—81no—
768C2×C4×C11—81no—
769C2×C4×C11—81no—
770C2×C4×C11—81no—
771C2×C4×C11C22×D411yescharacteristic
772C2×C4×C11C22×D411yescharacteristic
773C2×C4×C11C22×D411yescharacteristic
774C2×C4×C11C22×D411yescharacteristic
775C2×C4×C11C22×D411yescharacteristic
776C2×C4×C11C2511yescharacteristic
777C22⋊D11—22no—
778C22⋊D11—22no—
779C22⋊D11—42no—
780C22⋊D11—42no—
781C22⋊D11—42no—
782C22⋊D11—42no—
783C22⋊D11—42no—
784C22⋊D11—42no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C22⋊D11—81no—
788C22⋊D11—81no—
789C22⋊D11—81no—
790C22⋊D11—81no—
791C22⋊D11—81no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—42no—
798C2×Dic11—42no—
799C2×Dic11—81no—
800C2×Dic11—81no—
801C2×Dic11C22×D411yescharacteristic
802C2×Dic11C22×D411yescharacteristic
803C2×Dic11C22×D411yescharacteristic
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806C2×Dic11C22×D411yescharacteristic
807D44—22no—
808D44—21no—
809D44—21no—
810D44—21no—
811D44—21no—
812D44—21no—
813D44—42no—
814D44—42no—
815D44—81no—
816D44—81no—
817D44—81no—
818D44C2×#4112yes—
819C4×D11—22no—
820C4×D11—21no—
821C4×D11—21no—
822C4×D11—21no—
823C4×D11—21no—
824C4×D11—22no—
825C4×D11—42no—
826C4×D11—42no—
827C4×D11—42no—
828C4×D11—42no—
829C4×D11—81no—
830C4×D11—81no—
831C4×D11—81no—
832C4×D11—81no—
833C4×D11—81no—
834C4×D11—81no—
835C4×D11—81no—
836C4×D11—81no—
837C4×D11—81no—
838Dic22—22no—
839Dic22—21no—
840Dic22—21no—
841Dic22—42no—
842Dic22—81no—
843Dic22—81no—
844C8×C11—21no—
845C8×C11—21no—
846C8×C11—21no—
847C8×C11—21no—
848C11⋊C8—21no—
849C11⋊C8—21no—
850C11⋊C8—21no—
851C11⋊C8C2×#4112yes—
852C2×AGL(1,ℤ/8)—111no—
853C2×AGL(1,ℤ/8)—111no—
854C22×D8—111no—
855#556—111no—
856#555—111no—
857#554—111no—
858#554—111no—
859#554—111no—
860#553—111no—
861#553—111no—
862#553—221no—
863#552—221no—
864#551—221no—
865#551—221no—
866#550—111no—
867D4×Q8—111no—
868#548—221no—
869#547—111no—
870#547—111no—
871#546—111no—
872#546—111no—
873#546—221no—
874#546—221no—
875#546—221no—
876D42—111no—
877D42—111no—
878D42—111no—
879#542—111no—
880#542C2×D1111yescharacteristic, complemented
881#540—111no—
882#540—111no—
883#539—221no—
884#539—221no—
885#538—221no—
886#538—221no—
887#533—111no—
888#532—111no—
889#529—111no—
890#525—221no—
891#525—221no—
892C2×C22⋊Q8—221no—
893C2×#121—221no—
894#520—111no—
895#520—111no—
896#518—111no—
897#518C2×D1111yescharacteristic, complemented
898C2×C4×D4—111no—
899C2×C4×D4—111no—
900#501—111no—
901#501—111no—
902#498—111no—
903#496—111no—
904#496—111no—
905#492—111no—
906#488—111no—
907#488—111no—
908#487—111no—
909#486—111no—
910#486—111no—
911#486—111no—
912#485—111no—
913#485C2×D1111yescharacteristic, complemented
914#484—111no—
915#484—111no—
916#482—111no—
917#482C2×D1111yescharacteristic, complemented
918#481—111no—
919#481—111no—
920#481—111no—
921#481—111no—
922#480—111no—
923#480—111no—
924#479—111no—
925#479—111no—
926#478—111no—
927#478—111no—
928#476—111no—
929#476—111no—
930#476—111no—
931#476C2×D1111yescharacteristic, complemented
932#474—111no—
933#474—111no—
934#474—111no—
935#474C2×D1111yescharacteristic, complemented
936#469—111no—
937#469—111no—
938#468—111no—
939#468—111no—
940#466—111no—
941#466—111no—
942#465—111no—
943#465—111no—
944#465—111no—
945#465—111no—
946#465—111no—
947#465—111no—
948#463—111no—
949#463—111no—
950#463C2×D1111yescharacteristic
951#463C2×D1111yescharacteristic, complemented
952#461—111no—
953#461—111no—
954#460—111no—
955#460—111no—
956#459—111no—
957#459—111no—
958#459—111no—
959#459—111no—
960#450—111no—
961#450—111no—
962#450—111no—
963#450C2×D1111yescharacteristic, complemented
964#449—111no—
965#449—111no—
966#449—111no—
967#449—111no—
968#447—111no—
969#447—111no—
970#447—111no—
971#447C2×D1111yescharacteristic
972#446—111no—
973C8×Q8—111no—
974#442—111no—
975#442—111no—
976#442—111no—
977#442—111no—
978#442—111no—
979#442C2×D1111yescharacteristic, complemented
980#440—111no—
981#440—111no—
982#440—111no—
983#440—111no—
984#440—111no—
985#440C2×D1111yescharacteristic, complemented
986C4×SD16—111no—
987C4×SD16—111no—
988C4×SD16—111no—
989C4×SD16—111no—
990C4×SD16—111no—
991C4×SD16C2×D1111yescharacteristic, complemented
992C4×D8—111no—
993C4×D8—111no—
994C4×D8—111no—
995C4×D8—111no—
996C4×D8—111no—
997C4×D8—111no—
998C4×D8—111no—
999C4×D8—111no—
1000C4×D8—111no—
1001C4×D8C2×D1111yescharacteristic
1002#436—111no—
1003#435—111no—
1004#435—111no—
1005C8×D4—111no—
1006C8×D4—111no—
1007C8×D4—111no—
1008#433—111no—
1009#433C2×D1111yescharacteristic, complemented
1010#432—111no—
1011#428—111no—
1012#428—111no—
1013C2×#107—111no—
1014#416—111no—
1015#416—111no—
1016C2×#102—111no—
1017C2×#102—111no—
1018C2×#102—111no—
1019C2×#102—111no—
1020#405—111no—
1021#405—111no—
1022C2×C4×C8—111no—
1023C22×C11—21no—
1024C22×C11—22no—
1025C22×C11—21no—
1026C22×C11—21no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—162no—
1036C22×C11C23×D411yescharacteristic
1037C2×D11—21no—
1038C2×D11—21no—
1039C2×D11—22no—
1040C2×D11—21no—
1041C2×D11—21no—
1042C2×D11—21no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—84no—
1052C2×D11—84no—
1053C2×D11—162no—
1054C2×D11#57712yes—
1055C4×C11—21no—
1056C4×C11—21no—
1057C4×C11—21no—
1058C4×C11—21no—
1059C4×C11—21no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11C22×#4111yescharacteristic
1066C4×C11#58511yescharacteristic
1067Dic11—21no—
1068Dic11—21no—
1069Dic11—21no—
1070Dic11—21no—
1071Dic11—21no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11#57612yes—
1078C2×#41—111no—
1079C2×#41—111no—
1080C2×#41—221no—
1081C2×#41—221no—
1082C2×#41—221no—
1083C22×Q8—221no—
1084C22×D4—111no—
1085C22×D4—111no—
1086C22×D4—111no—
1087C22×D4—221no—
1088C22×D4—221no—
1089C22×D4—221no—
1090C22×D4C22×D1111yescharacteristic
1091C23×C4—221no—
1092C23×C4—221no—
1093AGL(1,ℤ/8)—224no—
1094AGL(1,ℤ/8)—224no—
1095C2×SD16—111no—
1096C2×SD16—111no—
1097C2×SD16—111no—
1098C2×SD16—111no—
1099C2×SD16—111no—
1100C2×SD16—111no—
1101C2×SD16C22×D1111yescharacteristic
1102C2×SD16C22×D1111yescharacteristic
1103C2×D8—111no—
1104C2×D8—111no—
1105C2×D8—111no—
1106C2×D8—111no—
1107C2×D8—111no—
1108C2×D8—111no—
1109C2×D8—224no—
1110C2×D8C22×D1111yescharacteristic
1111C2×D8C22×D1111yescharacteristic
1112C2×M16—111no—
1113C2×M16—111no—
1114C22×C8—111no—
1115C22×C8—111no—
1116C22×C8—111no—
1117C22×C8—111no—
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—111no—
1121C4⋊Q8—111no—
1122C4⋊Q8C22×D1111yescharacteristic
1123#127—111no—
1124#127—111no—
1125#127—111no—
1126#126—21no—
1127#126—111no—
1128#126—111no—
1129#126—221no—
1130#126—221no—
1131#126—221no—
1132#126—221no—
1133#126—221no—
1134#125—111no—
1135#125—111no—
1136#125—111no—
1137#125—221no—
1138#125—221no—
1139#125—221no—
1140#124—21no—
1141#124—111no—
1142#124—111no—
1143#124—221no—
1144#124—221no—
1145#124—221no—
1146#124—221no—
1147#124C22×D1111yescharacteristic
1148#123—21no—
1149#123—111no—
1150#123—111no—
1151#123—221no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160#123—221no—
1161#123—221no—
1162#123—221no—
1163#123—221no—
1164C22⋊Q8—21no—
1165C22⋊Q8—111no—
1166C22⋊Q8—111no—
1167C22⋊Q8—111no—
1168C22⋊Q8—111no—
1169C22⋊Q8—221no—
1170C22⋊Q8—221no—
1171C22⋊Q8—221no—
1172C22⋊Q8—221no—
1173C22⋊Q8—221no—
1174C22⋊Q8—221no—
1175C22⋊Q8—221no—
1176C22⋊Q8—221no—
1177C22⋊Q8—221no—
1178C22⋊Q8—221no—
1179C22⋊Q8—221no—
1180C22⋊Q8—221no—
1181C22⋊Q8—221no—
1182C22⋊Q8—221no—
1183C22⋊Q8C22×D1111yescharacteristic
1184#121—111no—
1185#121—111no—
1186#121—111no—
1187#121—111no—
1188#121—111no—
1189#121—111no—
1190#121—111no—
1191#121—111no—
1192#121—221no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121—221no—
1208#121—221no—
1209#121C22×D1111yescharacteristic
1210#120—221no—
1211#120—221no—
1212#120—221no—
1213#120—221no—
1214#120—221no—
1215#120—221no—
1216#120—221no—
1217#120—221no—
1218C4×Q8—111no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—221no—
1223C4×Q8C22×D1111yescharacteristic
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—111no—
1227C4×D4—111no—
1228C4×D4—111no—
1229C4×D4—111no—
1230C4×D4—111no—
1231C4×D4—111no—
1232C4×D4—111no—
1233C4×D4—111no—
1234C4×D4—111no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4C22×D1111yescharacteristic
1256C4×D4C22×D1111yescharacteristic
1257C4×D4C22×D1111yescharacteristic
1258C4×D4C22×D1111yescharacteristic
1259C4×D4C22×D1111yescharacteristic
1260#117—111no—
1261#117—111no—
1262#117—221no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117C22×D1111yescharacteristic
1268#117C22×D1111yescharacteristic
1269C2×C4⋊C4—111no—
1270C2×C4⋊C4—111no—
1271C2×C4⋊C4—111no—
1272C2×C4⋊C4—111no—
1273C2×C4⋊C4—221no—
1274C2×C4⋊C4—221no—
1275C2×C4⋊C4—221no—
1276C2×C4⋊C4—221no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—221no—
1280C2×C22⋊C4—221no—
1281C2×C22⋊C4—221no—
1282C2×C22⋊C4—221no—
1283C2×C22⋊C4—221no—
1284C2×C22⋊C4—221no—
1285C2×C42—111no—
1286#107—111no—
1287#107—111no—
1288#107—111no—
1289#107—111no—
1290#107—111no—
1291#107—111no—
1292#107C22×D1111yescharacteristic
1293#107C22×D1111yescharacteristic
1294#106—111no—
1295#106—111no—
1296#106—111no—
1297#106—111no—
1298#106—111no—
1299#106—111no—
1300#106C22×D1111yescharacteristic
1301#106C22×D1111yescharacteristic
1302C4⋊C8—111no—
1303C4⋊C8—111no—
1304C4⋊C8—111no—
1305C4⋊C8—111no—
1306C4⋊C8C22×D1111yescharacteristic
1307C4⋊C8C22×D1111yescharacteristic
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103C22×D1111yescharacteristic
1315#103C22×D1111yescharacteristic
1316#102—111no—
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102C22×D1111yescharacteristic
1335#102C22×D1111yescharacteristic
1336#102C22×D1111yescharacteristic
1337#102C22×D1111yescharacteristic
1338#102C22×D1111yescharacteristic
1339#102C22×D1111yescharacteristic
1340C22⋊C8—111no—
1341C22⋊C8—111no—
1342C22⋊C8—111no—
1343C22⋊C8—111no—
1344C22⋊C8C22×D1111yescharacteristic
1345C22⋊C8C22×D1111yescharacteristic
1346#97—111no—
1347#97—111no—
1348#97—111no—
1349#97C22×D1111yescharacteristic
1350C4×C8—111no—
1351C4×C8—111no—
1352C4×C8—111no—
1353C4×C8—111no—
1354C4×C8—111no—
1355C4×C8C22×D1111yescharacteristic
1356C2×C11—42no—
1357C2×C11—41no—
1358C2×C11—81no—
1359C2×C11—81no—
1360C2×C11D4×#4111yescharacteristic
1361C2×C11C2×#57611yescharacteristic
1362C2×C11C2×#57711yescharacteristic
1363D11—22no—
1364D11—41no—
1365D11—42no—
1366D11—81no—
1367D11—81no—
1368C24—21no—
1369C24—221no—
1370C24—221no—
1371C24—221no—
1372#41—222no—
1373#41—222no—
1374#41—441no—
1375#41—441no—
1376#41—882no—
1377#41—882no—
1378#41—882no—
1379C2×Q8—21no—
1380C2×Q8—111no—
1381C2×Q8—111no—
1382C2×Q8—221no—
1383C2×Q8—221no—
1384C2×Q8—221no—
1385C2×Q8—882no—
1386C2×Q8C23×D1111yescharacteristic
1387C2×D4—22no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—111no—
1392C2×D4—111no—
1393C2×D4—111no—
1394C2×D4—111no—
1395C2×D4—111no—
1396C2×D4—111no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—222no—
1408C2×D4—222no—
1409C2×D4—222no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—441no—
1419C2×D4—441no—
1420C2×D4—441no—
1421C2×D4—882no—
1422C2×D4—882no—
1423C2×D4—882no—
1424C2×D4C23×D1111yescharacteristic
1425C2×D4C23×D1111yescharacteristic
1426C2×D4C23×D1111yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4—221no—
1444C22×C4—221no—
1445C22×C4—221no—
1446C22×C4—221no—
1447C22×C4—221no—
1448C22×C4—221no—
1449C22×C4—221no—
1450C22×C4—221no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—882no—
1454C22×C4—882no—
1455C22×C4C23×D1111yescharacteristic
1456SD16—22no—
1457SD16—41no—
1458SD16—222no—
1459SD16—222no—
1460SD16—222no—
1461SD16—441no—
1462SD16—441no—
1463SD16—441no—
1464D8—22no—
1465D8—41no—
1466D8—114no—
1467D8—222no—
1468D8—222no—
1469D8—222no—
1470D8—222no—
1471D8—441no—
1472M16—222no—
1473M16—222no—
1474C2×C8—111no—
1475C2×C8—111no—
1476C2×C8—111no—
1477C2×C8—111no—
1478C2×C8—222no—
1479C2×C8—441no—
1480C2×C8—441no—
1481C2×C8—441no—
1482C2×C8C23×D1111yescharacteristic
1483C2×C8C23×D1111yescharacteristic
1484C2×C8C23×D1111yescharacteristic
1485C2×C8C23×D1111yescharacteristic
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—111no—
1490C4⋊C4—111no—
1491C4⋊C4—111no—
1492C4⋊C4—111no—
1493C4⋊C4—111no—
1494C4⋊C4—111no—
1495C4⋊C4—111no—
1496C4⋊C4—111no—
1497C4⋊C4—111no—
1498C4⋊C4—111no—
1499C4⋊C4—111no—
1500C4⋊C4—111no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4D4×D1111yescharacteristic
1521C4⋊C4D4×D1111yescharacteristic
1522C4⋊C4C23×D1111yescharacteristic
1523C4⋊C4C23×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C4⋊C4C23×D1111yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—111no—
1537C22⋊C4—111no—
1538C22⋊C4—111no—
1539C22⋊C4—111no—
1540C22⋊C4—111no—
1541C22⋊C4—111no—
1542C22⋊C4—111no—
1543C22⋊C4—111no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4D4×D1111yescharacteristic
1569C22⋊C4D4×D1111yescharacteristic
1570C42—21no—
1571C42—21no—
1572C42—111no—
1573C42—111no—
1574C42—111no—
1575C42—111no—
1576C42—221no—
1577C42—221no—
1578C42—221no—
1579C42—221no—
1580C42C23×D1111yescharacteristic
1581C42C23×D1111yescharacteristic
1582C11#6149611yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—111no—
1590C23—111no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—442no—
1595C23—442no—
1596C23—442no—
1597C23—442no—
1598C23—442no—
1599C23—881no—
1600C23—881no—
1601C23—881no—
1602C23—881no—
1603C23C2×D4×D1111yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—222no—
1608Q8—221no—
1609Q8—221no—
1610Q8—442no—
1611Q8—881no—
1612Q8—881no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—81no—
1620D4—112no—
1621D4—222no—
1622D4—222no—
1623D4—222no—
1624D4—221no—
1625D4—221no—
1626D4—221no—
1627D4—221no—
1628D4—221no—
1629D4—442no—
1630D4—442no—
1631D4—442no—
1632D4—442no—
1633D4—442no—
1634D4—442no—
1635D4—442no—
1636D4—442no—
1637D4—881no—
1638D4—881no—
1639D4—881no—
1640D4—881no—
1641D4—881no—
1642D4—881no—
1643D4—881no—
1644D4—881no—
1645D4—881no—
1646D4—881no—
1647D4#41×D1112yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—111no—
1661C2×C4—111no—
1662C2×C4—111no—
1663C2×C4—111no—
1664C2×C4—111no—
1665C2×C4—111no—
1666C2×C4—222no—
1667C2×C4—222no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—442no—
1678C2×C4—442no—
1679C2×C4—442no—
1680C2×C4—442no—
1681C2×C4—442no—
1682C2×C4—442no—
1683C2×C4—881no—
1684C2×C4—881no—
1685C2×C4—881no—
1686C2×C4—881no—
1687C2×C4—881no—
1688C2×C4—881no—
1689C2×C4—881no—
1690C2×C4—881no—
1691C2×C4—881no—
1692C2×C4—881no—
1693C2×C4—881no—
1694C2×C4C2×D4×D1111yescharacteristic
1695C2×C4C2×D4×D1111yescharacteristic
1696C2×C4C2×D4×D1111yescharacteristic
1697C2×C4C2×D4×D1111yescharacteristic
1698C2×C4C2×D4×D1111yescharacteristic
1699C2×C4C24×D1111yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—112no—
1705C8—221no—
1706C8—221no—
1707C8—221no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—112no—
1721C22—162no—
1722C22—221no—
1723C22—221no—
1724C22—221no—
1725C22—221no—
1726C22—221no—
1727C22—222no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—884no—
1737C22—884no—
1738C22—1762no—
1739C22C22×D4×D1111yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—112no—
1751C4—221no—
1752C4—221no—
1753C4—221no—
1754C4—221no—
1755C4—221no—
1756C4—441no—
1757C4—441no—
1758C4—441no—
1759C4—441no—
1760C4—441no—
1761C4C2×#41×D1111yescharacteristic
1762C4#1062345311yescharacteristic
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—222no—
1768C2—441no—
1769C2—442no—
1770C2—881no—
1771C2—881no—
1772C2#1308209911yescharacteristic
1773C2D11×#57611yescharacteristic
1774C2D11×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3118C2
socleC22×C11C23×D4
hypercenter#3118D11
hypocenterC11#61496
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #13082663C2semidirect
2. #13082638C2semidirect
3. #13081639C2semidirect
4. #13081510C2semidirect
5. #13081260C2semidirect
6. #13081250C2semidirect
7. #13081209C2semidirect
8. #13081098C2semidirect
9. #13081094C2semidirect
10. #13080542C2semidirect
11. #13080473C2semidirect
12. #13080469C2semidirect
13. #13080437C2semidirect
14. #13080433C2semidirect
15. #13080422C2semidirect
16. #13080214C2semidirect
17. #13080102C2semidirect
18. #13080094C2semidirect
19. #13079305C2semidirect
20. #13079293C2semidirect
21. #13079172C2semidirect
22. #13078821C2semidirect
23. #13078817C2semidirect
24. #13078796C2semidirect
25. #13078713C2semidirect
26. #13078705C2semidirect
27. #13077589C2semidirect
28. #13077448C2semidirect
29. #13077447C2semidirect
30. C4×D8×D11C2semidirect
31. C11×#3118C2semidirect
32. C11×#542C22semidirect
33. C11×#518C22semidirect
35. D4×C22⋊D11C22semidirect
39. #10623261C22semidirect
40. #10623258C22semidirect
45. #10623207C22semidirect
46. #10623202C22semidirect
50. #10623166C22semidirect
51. #10623162C22semidirect
53. #10623143C22semidirect
54. #10623142C22semidirect
55. #10623109C22semidirect
56. #10623105C22semidirect
57. #10623093C22semidirect
58. #10623092C22semidirect
61. #10623084C22semidirect
66. #10623076C22semidirect
68. C4×D4×D11C22semidirect
70. #10623070C22semidirect
71. #10623066C22semidirect
72. #10623063C22semidirect
75. #10623054C22semidirect
80. C11×#485C22semidirect
81. C11×#482C22semidirect
82. C11×#476C22semidirect
83. C11×#474C22semidirect
85. C11×#463C22semidirect
86. C11×#450C22semidirect
88. C11×#442C22semidirect
89. C11×#440C22semidirect
90. C4×C11×SD16C22semidirect
92. C11×#433C22semidirect
93. C2×#66896C22semidirect
94. #10622788C22semidirect
95. #10622785C22semidirect
96. #10622784C22semidirect
98. #10622776C22semidirect
99. #10622775C22semidirect
100. SD16×Dic11C22semidirect
101. #10622770C22semidirect
103. #10622769C22semidirect
104. #10622767C22semidirect
106. #10622763C22semidirect
108. #10622701C22semidirect
109. #10622693C22semidirect
110. #10622671C22semidirect
111. #10622669C22semidirect
112. #10622662C22semidirect
113. #10622661C22semidirect
114. #10622652C22semidirect
115. #10622651C22semidirect
116. #10622639C22semidirect
117. C4×#4325C22semidirect
118. #10622631C22semidirect
119. #10622631C22semidirect
120. C4×#4324C22semidirect
121. C4×#4324C22semidirect
123. #10622627C22semidirect
124. #10622627C22semidirect
126. C4×#4323C22semidirect
127. C4×#4323C22semidirect
128. #10622615C22semidirect
129. #10622610C22semidirect
130. #10622608C22semidirect
131. #10622503C22semidirect
132. #10622503C22semidirect
133. #10622501C22semidirect
134. #10622497C22semidirect
135. #10622494C22semidirect
136. D11×#107C22semidirect
137. #10622485C22semidirect
138. #10622485C22semidirect
139. #10622484C22semidirect
140. #10622483C22semidirect
141. #10622477C22semidirect
142. #10622477C22semidirect
143. #10622476C22semidirect
144. #10622476C22semidirect
145. #10622469C22semidirect
146. #10622468C22semidirect
147. #10622461C22semidirect
148. #10622460C22semidirect
149. #10622456C22semidirect
150. #10622449C22semidirect
151. #10622447C22semidirect
152. #10622443C22semidirect
153. #10622442C22semidirect
154. #10622441C22semidirect
155. #10622431C22semidirect
156. #10622430C22semidirect
157. #10622424C22semidirect
158. #10622422C22semidirect
159. #10622420C22semidirect
160. #10622417C22semidirect
161. #10622409C22semidirect
162. #10622405C22semidirect
163. #10622400C22semidirect
164. #10622399C22semidirect
165. #10622399C22semidirect
167. #10622395C22semidirect
168. #10622393C22semidirect
169. #10622392C22semidirect
170. #10622391C22semidirect
171. #10622390C22semidirect
173. #10622389C22semidirect
174. #10622387C22semidirect
175. #10622386C22semidirect
177. D11×#102C22semidirect
178. D11×#102C22semidirect
179. #10622381C22semidirect
180. #10622374C22semidirect
181. #10622374C22semidirect
182. #10622373C22semidirect
183. #10622373C22semidirect
184. #10622372C22semidirect
186. #10622369C22semidirect
187. #10622349C22semidirect
188. #10622348C22semidirect
189. #10622347C22semidirect
190. #10622347C22semidirect
191. #10622342C22semidirect
192. #10622341C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. (C22⋊D11)⋊C8C22semidirect
195. #10622324C22semidirect
196. #10622323C22semidirect
197. #10622321C22semidirect
198. #10622318C22semidirect
199. C4×D88C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C4×C8×D11C22semidirect
620. #4323#41semidirect
720. #3118D11semidirect
880. #542C2×D11semidirect
897. #518C2×D11semidirect
913. #485C2×D11semidirect
917. #482C2×D11semidirect
931. #476C2×D11semidirect
935. #474C2×D11semidirect
951. #463C2×D11semidirect
963. #450C2×D11semidirect
979. #442C2×D11semidirect
985. #440C2×D11semidirect
991. C4×SD16C2×D11semidirect
1009. #433C2×D11semidirect
1582. C11#61496semidirect

Maximal subgroups

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

subgroupindex
#130826632
#130826382
#130816392
#130815102
#130812602
#130812502
#130812092
#130810982
#130810942
#130805422
#130804732
#130804692
#130804372
#130804332
#130804222
#130802142
#130801022
#130800942
#130793052
#130792932
#130791722
#130788212
#130788172
#130787962
#130787132
#130787052
#130775892
#130774482
#130774472
C4×D8×D112
C11×#31182
#6149611