Finite Group Databasebeta

← #15638378

Subgroups — #15638378

Order 2816.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082638C211yesmaximal, characteristic, complemented
2#13082618C211yesmaximal, characteristic, complemented
3#13081587C211yesmaximal, characteristic, complemented
4#13081486C211yesmaximal, characteristic, complemented
5#13081348C211yesmaximal, characteristic, complemented
6#13081318C211yesmaximal, characteristic, complemented
7#13081219C211yesmaximal, characteristic, complemented
8#13081215C211yesmaximal, characteristic, complemented
9#13081209C211yesmaximal, characteristic, complemented
10#13080761C211yesmaximal, characteristic, complemented
11#13080754C211yesmaximal, characteristic, complemented
12#13080629C211yesmaximal, characteristic, complemented
13#13080620C211yesmaximal, characteristic, complemented
14#13080564C211yesmaximal, characteristic, complemented
15#13080422C211yesmaximal, characteristic, complemented
16#13080239C211yesmaximal, characteristic, complemented
17#13080234C211yesmaximal, characteristic, complemented
18#13080234C211yesmaximal, characteristic, complemented
19#13079351C211yesmaximal, characteristic, complemented
20#13079262C211yesmaximal, characteristic, complemented
21#13079260C211yesmaximal, characteristic, complemented
22#13078858C211yesmaximal, characteristic, complemented
23#13078819C211yesmaximal, characteristic, complemented
24#13078817C211yesmaximal, characteristic, complemented
25#13078672C211yesmaximal, characteristic, complemented
26#13078614C211yesmaximal, characteristic, complemented
27#13077618C211yesmaximal, characteristic, complemented
28#13077448C211yesmaximal, characteristic, complemented
29#13077441C211yesmaximal, characteristic, complemented
30#13077427C211yesmaximal, characteristic, complemented
31C11×#3122C211yesmaximal, characteristic, complemented
32C11×#540C2211yescharacteristic, complemented
33C11×#518C2211yescharacteristic
34D4×C22⋊D11C2211yescharacteristic
35D4×C22⋊D11C2211yescharacteristic
36C2×#66985C2211yescharacteristic
37C2×#66964C2211yescharacteristic
38C2×#66964C2211yescharacteristic
39#10623249C2211yescharacteristic, complemented
40#10623249C2211yescharacteristic, complemented
41#10623226C2211yescharacteristic, complemented
42#10623216C2211yescharacteristic, complemented
43#10623194—21no—
44#10623192—21no—
45#10623186—21no—
46#10623180—21no—
47#10623149C2211yescharacteristic, complemented
48#10623146—21no—
49#10623142C2211yescharacteristic, complemented
50#10623132—21no—
51#10623130—21no—
52#10623130C2211yescharacteristic, complemented
53#10623130C2211yescharacteristic, complemented
54#10623127—21no—
55#10623093C2211yescharacteristic
56#10623093C2211yescharacteristic, complemented
57#10623091—21no—
58#10623089C2211yescharacteristic
59#10623084C2211yescharacteristic
60#10623081—21no—
61D4×D44C2211yescharacteristic
62#10623079C2211yescharacteristic
63#10623079C2211yescharacteristic, complemented
64#10623078—21no—
65#10623077C2211yescharacteristic, complemented
66#10623076C2211yescharacteristic
67C4×D4×D11C2211yescharacteristic
68#10623071—21no—
69#10623070C2211yescharacteristic
70C4×#4341C2211yescharacteristic, complemented
71#10623066C2211yescharacteristic
72#10623063C2211yescharacteristic
73#10623061C2211yescharacteristic
74#10623059C2211yescharacteristic
75#10623054C2211yescharacteristic, complemented
76#10623025—21no—
77#10623021—21no—
78#10623021—21no—
79C2×#66937—21no—
80C11×#482C2211yescharacteristic, complemented
81C11×#482C2211yescharacteristic, complemented
82C11×#478C2211yescharacteristic
83C11×#478C2211yescharacteristic, complemented
84C11×#459C2211yescharacteristic
85C11×#459C2211yescharacteristic, complemented
86C11×#447C2211yescharacteristic
87C11×#447C2211yescharacteristic
88C11×#442C2211yescharacteristic
89C11×#442C2211yescharacteristic, complemented
90C4×C11×D8C2211yescharacteristic
91C4×C11×D8C2211yescharacteristic, complemented
92C11×#433C2211yescharacteristic, complemented
93C2×#66896C2211yescharacteristic
94#10622772C2211yescharacteristic, complemented
95#10622771C2211yescharacteristic, complemented
96#10622771C2211yescharacteristic, complemented
97#10622770C2211yescharacteristic, complemented
98#10622769C2211yescharacteristic
99#10622769C2211yescharacteristic
100#10622765C2211yescharacteristic
101#10622764C2211yescharacteristic, complemented
102#10622764C2211yescharacteristic, complemented
103#10622763C2211yescharacteristic
104#10622763C2211yescharacteristic
105#10622763C2211yescharacteristic, complemented
106#10622763C2211yescharacteristic, complemented
107D8×Dic11C2211yescharacteristic
108#10622686C2211yescharacteristic, complemented
109#10622684C2211yescharacteristic, complemented
110#10622680C2211yescharacteristic, complemented
111#10622677C2211yescharacteristic, complemented
112#10622652C2211yescharacteristic, complemented
113#10622652C2211yescharacteristic, complemented
114#10622651C2211yescharacteristic, complemented
115#10622651C2211yescharacteristic, complemented
116#10622631C2211yescharacteristic
117#10622631C2211yescharacteristic, complemented
118C4×#4324C2211yescharacteristic
119C4×#4324C2211yescharacteristic, complemented
120#10622627C2211yescharacteristic
121#10622627C2211yescharacteristic, complemented
122#10622627C2211yescharacteristic, complemented
123#10622627C2211yescharacteristic, complemented
124C4×#4323C2211yescharacteristic
125C4×#4323C2211yescharacteristic, complemented
126C4×#4323C2211yescharacteristic, complemented
127C4×#4323C2211yescharacteristic, complemented
128#10622615C2211yescharacteristic, complemented
129#10622610C2211yescharacteristic, complemented
130#10622608C2211yescharacteristic, complemented
131#10622503C2211yescharacteristic, complemented
132#10622502C2211yescharacteristic, complemented
133#10622498C2211yescharacteristic, complemented
134#10622496C2211yescharacteristic, complemented
135#10622495C2211yescharacteristic, complemented
136#10622494C2211yescharacteristic, complemented
137#10622491C2211yescharacteristic, complemented
138#10622488C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622478C2211yescharacteristic, complemented
142#10622476C2211yescharacteristic, complemented
143#10622474C2211yescharacteristic, complemented
144#10622470C2211yescharacteristic, complemented
145#10622468C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622460C2211yescharacteristic, complemented
149#10622456C2211yescharacteristic, complemented
150#10622451C2211yescharacteristic, complemented
151#10622449C2211yescharacteristic, complemented
152#10622443C2211yescharacteristic, complemented
153#10622442C2211yescharacteristic, complemented
154#10622441C2211yescharacteristic, complemented
155#10622399C2211yescharacteristic, complemented
156#10622399C2211yescharacteristic, complemented
157#10622395C2211yescharacteristic, complemented
158#10622395C2211yescharacteristic, complemented
159#10622395C2211yescharacteristic, complemented
160#10622395C2211yescharacteristic, complemented
161#10622394C2211yescharacteristic, complemented
162#10622394C2211yescharacteristic, complemented
163#10622392C2211yescharacteristic, complemented
164#10622392C2211yescharacteristic, complemented
165#10622387C2211yescharacteristic, complemented
166#10622387C2211yescharacteristic, complemented
167#10622386C2211yescharacteristic
168#10622386C2211yescharacteristic
169#10622385C2211yescharacteristic, complemented
170#10622384C2211yescharacteristic, complemented
171#10622383C2211yescharacteristic
172D11×#102C2211yescharacteristic
173#10622379C2211yescharacteristic, complemented
174#10622377C2211yescharacteristic, complemented
175#10622377C2211yescharacteristic, complemented
176#10622376C2211yescharacteristic
177#10622375C2211yescharacteristic, complemented
178#10622375C2211yescharacteristic, complemented
179#10622374C2211yescharacteristic, complemented
180#10622373C2211yescharacteristic, complemented
181#10622373C2211yescharacteristic, complemented
182#10622372C2211yescharacteristic
183#10622371C2211yescharacteristic
184#10622371C2211yescharacteristic
185#10622369C2211yescharacteristic, complemented
186#10622369C2211yescharacteristic, complemented
187#10622349C2211yescharacteristic, complemented
188#10622348C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic, complemented
190#10622347C2211yescharacteristic, complemented
191#10622343C2211yescharacteristic, complemented
192#10622342C2211yescharacteristic, complemented
193#10622342C2211yescharacteristic, complemented
194(C22⋊D11)⋊C8C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622322C2211yescharacteristic, complemented
198#10622320C2211yescharacteristic, complemented
199C4×D88C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622302C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C22×D4×C11C2311yescharacteristic
204C22×C22⋊D11—21no—
205C22×C22⋊D11—21no—
206C2×#4341—21no—
207C2×#4341—21no—
208C2×#4341C2311yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×D4×D11C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×#4339—21no—
213C2×#4339—21no—
214C2×#4339—21no—
215C2×#4339C2311yescharacteristic
216C22×D44—21no—
217C22×C4×D11—21no—
218C2×C11×D8C2311yescharacteristic
219C2×C11×D8C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C11×#127C2311yescharacteristic
223C11×#125C2311yescharacteristic
224C11×#123—21no—
225C11×#123—21no—
226C11×#121—21no—
227C11×#121—21no—
228C11×#121C2311yescharacteristic
229C11×#121C2311yescharacteristic
230C4×D4×C11—21no—
231C4×D4×C11—21no—
232C4×D4×C11C2311yescharacteristic
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#66993—21no—
245#66993—21no—
246#66993—21no—
247#66993C2311yescharacteristic
248#66993C2311yescharacteristic
249#66993C2311yescharacteristic
250#66993C2311yescharacteristic
251#66992—21no—
252#66992—21no—
253#66992—21no—
254#66992—21no—
255#66992—21no—
256#66992—21no—
257#66992—21no—
258#66992—21no—
259#66992—21no—
260#66991—21no—
261#66991C2311yescharacteristic
262#66991C2311yescharacteristic
263#66991C2311yescharacteristic
264#66991C2311yescharacteristic
265#66990—21no—
266#66990—21no—
267#66988—21no—
268D4×Dic11—21no—
269D4×Dic11—21no—
270D4×Dic11C2311yescharacteristic
271D4×Dic11C2311yescharacteristic
272D4×Dic11C2311yescharacteristic
273D4×Dic11C2311yescharacteristic
274C2×#4324C2311yescharacteristic
275C2×#4324C2311yescharacteristic
276#66985—24no—
277C2×#4323C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283#66983—21no—
284#66983—21no—
285#66983—21no—
286#66983—21no—
287#66983C2311yescharacteristic
288#66983C2311yescharacteristic
289#66982—21no—
290#66982—21no—
291#66982—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11C2311yescharacteristic
300C4×C22⋊D11C2311yescharacteristic
301C2×(C2×D11)⋊C4—21no—
302C2×C4⋊Dic11C2311yescharacteristic
303#66977—21no—
304C2×Dic11⋊C4—21no—
305C2×Dic11⋊C4—21no—
306C2×C4×Dic11—21no—
307C2×#4318C2311yescharacteristic
308C22×C11⋊C8C2311yescharacteristic
309#66964—24no—
310#66964—24no—
311C2×D88C2311yescharacteristic
312C2×D88C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4313C2311yescharacteristic
316C2×#4313C2311yescharacteristic
317C2×#4313C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319#66951—21no—
320#66951D411yescharacteristic
321#66949D411yescharacteristic
322#66948—21no—
323#66948C2311yescharacteristic
324#66948C2311yescharacteristic
325#66948C2311yescharacteristic
326#66948C2311yescharacteristic
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66947D411yescharacteristic
331#66946—21no—
332#66946C2311yescharacteristic
333#66946C2311yescharacteristic
334#66945—21no—
335#66945C2311yescharacteristic
336#66945C2311yescharacteristic
337C4⋊C4×D11—21no—
338C4⋊C4×D11C2311yescharacteristic
339C4⋊C4×D11C2311yescharacteristic
340#66943C2311yescharacteristic
341#66943C2311yescharacteristic
342#66942—21no—
343#66942—21no—
344#66942D411yescharacteristic
345#66941—21no—
346#66941C2311yescharacteristic
347#66941C2311yescharacteristic
348#66940—21no—
349#66940C2311yescharacteristic
350#66940C2311yescharacteristic
351#66939—21no—
352#66938—21no—
353#66938—21no—
354#66938—21no—
355#66938D411yescharacteristic
356#66937—21no—
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937D411yescharacteristic
370#66936—21no—
371#66936—21no—
372#66936—21no—
373#66936—21no—
374#66936D411yescharacteristic
375#66935—21no—
376#66935—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385C22⋊C4×D11—21no—
386C22⋊C4×D11—21no—
387#66932—21no—
388#66932—21no—
389#66932D411yescharacteristic
390#66931—21no—
391#66931—21no—
392#66931—21no—
393#66930—21no—
394#66930—21no—
395#66929—21no—
396#66928—21no—
397#66927C2311yescharacteristic
398C4×D44—21no—
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic
402C4×D44C2311yescharacteristic
403C4×D44C2311yescharacteristic
404#66925—21no—
405#66925C2311yescharacteristic
406C42×D11C2311yescharacteristic
407#66923C2311yescharacteristic
408C4×Dic22C2311yescharacteristic
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×C4⋊C8C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×C22⋊C8C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×#97C2311yescharacteristic
428C4×C8×C11C2311yescharacteristic
429#66896C2311yescharacteristic
430#66896C2311yescharacteristic
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#61555—111nomaximal, Sylow
482C24×C11—21no—
483C23×D11—21no—
484C23×D11—21no—
485C2×D4×C11—22no—
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—41no—
492C2×D4×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C2×D4×C11C2411yescharacteristic
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11C2411yescharacteristic
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—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—82no—
523C2×C22⋊D11—82no—
524C2×C22⋊D11C2×D411yescharacteristic
525C2×C22⋊D11C2×D411yescharacteristic
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533#4341—22no—
534#4341—22no—
535#4341—41no—
536#4341—41no—
537#4341—82no—
538#4341—82no—
539D4×D11—22no—
540D4×D11—22no—
541D4×D11—41no—
542D4×D11—41no—
543#4339—22no—
544#4339—41no—
545#4339—82no—
546#4339—82no—
547#4339—82no—
548C2×D44—21no—
549C2×D44—21no—
550C2×D44—21no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44—82no—
555C2×D44C2×D411yescharacteristic
556C2×D44C2411yescharacteristic
557C2×D44C2411yescharacteristic
558C2×D44C2411yescharacteristic
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—82no—
569C2×C4×D11C2×D411yescharacteristic
570C2×C4×D11C2×D411yescharacteristic
571C2×C4×D11C2411yescharacteristic
572C2×C4×D11C2411yescharacteristic
573C2×Dic22—21no—
574C2×Dic22—21no—
575C2×Dic22C2×D411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×D8—22no—
578C11×D8—22no—
579C11×D8—41no—
580C11×D8—41no—
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4C2×D411yescharacteristic
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4C2×D411yescharacteristic
603C11×C22⋊C4C2×D411yescharacteristic
604C42×C11—21no—
605C42×C11C2411yescharacteristic
606C42×C11C2411yescharacteristic
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11C2×D411yescharacteristic
616C22⋊Dic11C2×D411yescharacteristic
617#4324—22no—
618#4324#4114yescomplemented
619#4323—22no—
620#4323—22no—
621#4323—22no—
622#4323—22no—
623#4323—41no—
624#4323—41no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4C2×D411yescharacteristic
640(C2×D11)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644(C2×D11)⋊C4C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
670Dic11⋊C4C2×D411yescharacteristic
671Dic11⋊C4C2×D411yescharacteristic
672C4×Dic11—21no—
673C4×Dic11—21no—
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—41no—
689D88—41no—
690#4314—22no—
691#4314—22no—
692#4313—22no—
693#4313—22no—
694#4313—41no—
695C8×D11—41no—
696#3519—111no—
697#3517—111no—
698#3391—111no—
699#3381—111no—
700#3368—111no—
701#3366—111no—
702#3355—111no—
703#3355—111no—
704#3354—111no—
705#3318—111no—
706#3318—111no—
707#3309—111no—
708#3309—111no—
709#3305—111no—
710#3294—111no—
711#3274—111no—
712#3274—111no—
713#3274—111no—
714#3184—111no—
715#3176—111no—
716#3176—111no—
717#3122—111no—
718#3122D1111yescharacteristic, complemented
719#3119—111no—
720#3119—111no—
721#3106—111no—
722#3100—111no—
723#2969—111no—
724#2946—111no—
725#2946—111no—
726C4×AGL(1,ℤ/8)—111no—
727C23×C11—21no—
728C23×C11—21no—
729C23×C11—21no—
730C23×C11—21no—
731C23×C11—42no—
732C23×C11—81no—
733C23×C11—81no—
734C23×C11C22×D411yescharacteristic
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—42no—
739C22×D11—42no—
740C22×D11—42no—
741C22×D11—81no—
742C22×D11—81no—
743C22×D11—81no—
744C22×D11C22×D411yescharacteristic
745C22×D11C22×D411yescharacteristic
746D4×C11—21no—
747D4×C11—21no—
748D4×C11—21no—
749D4×C11—21no—
750D4×C11—21no—
751D4×C11—21no—
752D4×C11—21no—
753D4×C11—42no—
754D4×C11—81no—
755D4×C11—81no—
756D4×C11—81no—
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—81no—
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—41no—
779C22⋊D11—42no—
780C22⋊D11—42no—
781C22⋊D11—42no—
782C22⋊D11—42no—
783C22⋊D11—42no—
784C22⋊D11—42no—
785C22⋊D11—42no—
786C22⋊D11—42no—
787C22⋊D11—81no—
788C22⋊D11—81no—
789C22⋊D11—81no—
790C22⋊D11—81no—
791C22⋊D11—81no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C22⋊D11—81no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—42no—
804C2×Dic11—42no—
805C2×Dic11—42no—
806C2×Dic11—42no—
807C2×Dic11—81no—
808C2×Dic11—81no—
809C2×Dic11—81no—
810C2×Dic11C22×D411yescharacteristic
811C2×Dic11C22×D411yescharacteristic
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816D44—21no—
817D44—21no—
818D44—21no—
819D44—21no—
820D44—21no—
821D44—21no—
822D44—41no—
823D44—42no—
824D44—81no—
825D44—81no—
826D44—81no—
827D44—81no—
828D44—81no—
829C4×D11—21no—
830C4×D11—21no—
831C4×D11—21no—
832C4×D11—21no—
833C4×D11—22no—
834C4×D11—41no—
835C4×D11—42no—
836C4×D11—42no—
837C4×D11—81no—
838C4×D11—81no—
839C4×D11—81no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844Dic22—21no—
845Dic22—22no—
846Dic22—42no—
847Dic22—81no—
848Dic22C2×#4112yes—
849C8×C11—21no—
850C8×C11—21no—
851C8×C11—21no—
852C8×C11—21no—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C11⋊C8—21no—
856C11⋊C8C2×#4112yes—
857C2×AGL(1,ℤ/8)—111no—
858C2×AGL(1,ℤ/8)—111no—
859C2×AGL(1,ℤ/8)—111no—
860#557—111no—
861#555—111no—
862#554—111no—
863#553—111no—
864#553—111no—
865#553—111no—
866#553—111no—
867#553—221no—
868#553—221no—
869#553—221no—
870#550—111no—
871#550—111no—
872#550—111no—
873#550—111no—
874#550—111no—
875#550—221no—
876#547—111no—
877#547—221no—
878#546—221no—
879#546—221no—
880#546—221no—
881D42—111no—
882D42—111no—
883D42—111no—
884#540—111no—
885#540—111no—
886#540—111no—
887#540—221no—
888#540—221no—
889#540C2×D1111yescharacteristic, complemented
890#538—221no—
891#538—221no—
892#532—111no—
893#532—111no—
894#532—221no—
895#529—111no—
896#529—221no—
897#525—221no—
898C2×#121—221no—
899#520—111no—
900#520—111no—
901#518—111no—
902#518C2×D1111yescharacteristic
903C4×#41—111no—
904C2×C4×D4—111no—
905#499—111no—
906#499—111no—
907#498—111no—
908#493—111no—
909#493—111no—
910#493—111no—
911#490—111no—
912#490—111no—
913#490—111no—
914#490—111no—
915#486—111no—
916#486—111no—
917#482—111no—
918#482—111no—
919#482—111no—
920#482—111no—
921#482C2×D1111yescharacteristic, complemented
922#482C2×D1111yescharacteristic, complemented
923#481—111no—
924#481—111no—
925#480—111no—
926#480—111no—
927#480—111no—
928#480—111no—
929#479—111no—
930#479—111no—
931#478—111no—
932#478—111no—
933#478—111no—
934#478—111no—
935#478C2×D1111yescharacteristic
936#478C2×D1111yescharacteristic, complemented
937#477—111no—
938#476—111no—
939#474—111no—
940#474—111no—
941#469—111no—
942#469—111no—
943#469—111no—
944#469—111no—
945#469—111no—
946#469—111no—
947#469—111no—
948#469—111no—
949#466—111no—
950#466—111no—
951#466—111no—
952#466—111no—
953#460—111no—
954#460—111no—
955#460—111no—
956#459—111no—
957#459—111no—
958#459—111no—
959#459—111no—
960#459—111no—
961#459—111no—
962#459—111no—
963#459C2×D1111yescharacteristic
964#459C2×D1111yescharacteristic, complemented
965#449—111no—
966#449—111no—
967#449—111no—
968#449—111no—
969#449—111no—
970#449—111no—
971#447—111no—
972#447—111no—
973#447—111no—
974#447—111no—
975#447C2×D1111yescharacteristic
976#447C2×D1111yescharacteristic
977#446—111no—
978C8×Q8—111no—
979#442—111no—
980#442—111no—
981#442—111no—
982#442—111no—
983#442—111no—
984#442—111no—
985#442C2×D1111yescharacteristic
986#442C2×D1111yescharacteristic, complemented
987#440—111no—
988#440—111no—
989#440—111no—
990#440—111no—
991C4×SD16—111no—
992C4×SD16—111no—
993C4×SD16—111no—
994C4×SD16—111no—
995C4×SD16—111no—
996C4×SD16—111no—
997C4×D8—111no—
998C4×D8—111no—
999C4×D8—111no—
1000C4×D8—111no—
1001C4×D8—111no—
1002C4×D8—111no—
1003C4×D8—111no—
1004C4×D8—111no—
1005C4×D8C2×D1111yescharacteristic
1006C4×D8C2×D1111yescharacteristic, complemented
1007#436—111no—
1008#436—111no—
1009#436—111no—
1010#435—111no—
1011#435—111no—
1012C8×D4—111no—
1013#433—111no—
1014#433C2×D1111yescharacteristic, complemented
1015#431—111no—
1016#428—111no—
1017#428—111no—
1018#428—111no—
1019#418—111no—
1020#417—111no—
1021#416—111no—
1022#416—111no—
1023C2×#102—111no—
1024C2×#102—111no—
1025#405—111no—
1026#405—111no—
1027C4×M16—111no—
1028C22×C11—21no—
1029C22×C11—21no—
1030C22×C11—22no—
1031C22×C11—21no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—162no—
1044C22×C11C23×D411yescharacteristic
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—21no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—84no—
1061C2×D11—162no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—21no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11C22×#4111yescharacteristic
1072C4×C11#58511yescharacteristic
1073Dic11—21no—
1074Dic11—21no—
1075Dic11—22no—
1076Dic11—21no—
1077Dic11—21no—
1078Dic11—21no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11#57612yes—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—221no—
1088C2×#41—221no—
1089C2×#41—221no—
1090C2×#41—221no—
1091C2×#41—221no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—221no—
1095C22×D4—221no—
1096C22×D4—221no—
1097C22×D4C22×D1111yescharacteristic
1098C23×C4—221no—
1099AGL(1,ℤ/8)—224no—
1100AGL(1,ℤ/8)—224no—
1101AGL(1,ℤ/8)—224no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—111no—
1106C2×D8—111no—
1107C2×D8—111no—
1108C2×D8—111no—
1109C2×D8—111no—
1110C2×D8—111no—
1111C2×D8—111no—
1112C2×D8—111no—
1113C2×D8—111no—
1114C2×D8C22×D1111yescharacteristic
1115C2×D8C22×D1111yescharacteristic
1116C2×D8C22×D1111yescharacteristic
1117C2×D8C22×D1111yescharacteristic
1118C2×M16—111no—
1119C2×M16—111no—
1120C2×M16—111no—
1121C2×M16—111no—
1122C22×C8—111no—
1123C22×C8—111no—
1124C4⋊Q8—111no—
1125C4⋊Q8—111no—
1126C4⋊Q8—221no—
1127#127—111no—
1128#127—111no—
1129#127—111no—
1130#127—111no—
1131#127—111no—
1132#127—221no—
1133#127—221no—
1134#127—221no—
1135#127C22×D1111yescharacteristic
1136#126—111no—
1137#126—111no—
1138#126—221no—
1139#126—221no—
1140#126—221no—
1141#126—221no—
1142#125—111no—
1143#125—111no—
1144#125—111no—
1145#125—111no—
1146#125—221no—
1147#125—221no—
1148#125C22×D1111yescharacteristic
1149#124—111no—
1150#124—221no—
1151#124—221no—
1152#124—221no—
1153#124—221no—
1154#123—21no—
1155#123—21no—
1156#123—111no—
1157#123—111no—
1158#123—221no—
1159#123—221no—
1160#123—221no—
1161#123—221no—
1162#123—221no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170C22⋊Q8—111no—
1171C22⋊Q8—221no—
1172C22⋊Q8—221no—
1173C22⋊Q8—221no—
1174C22⋊Q8—221no—
1175#121—21no—
1176#121—21no—
1177#121—111no—
1178#121—111no—
1179#121—111no—
1180#121—111no—
1181#121—111no—
1182#121—111no—
1183#121—111no—
1184#121—111no—
1185#121—111no—
1186#121—111no—
1187#121—111no—
1188#121—221no—
1189#121—221no—
1190#121—221no—
1191#121—221no—
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#121—221no—
1210#121—221no—
1211#121—221no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121C22×D1111yescharacteristic
1217#121C22×D1111yescharacteristic
1218#120—221no—
1219#120—221no—
1220#120—221no—
1221#120—221no—
1222#120—221no—
1223#120—221no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—111no—
1228C4×Q8—111no—
1229C4×Q8—221no—
1230C4×D4—21no—
1231C4×D4—21no—
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—111no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
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×D4—221no—
1256C4×D4—221no—
1257C4×D4—221no—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4C22×D1111yescharacteristic
1265C4×D4C22×D1111yescharacteristic
1266C4×D4C22×D1111yescharacteristic
1267C4×D4C22×D1111yescharacteristic
1268C4×D4C22×D1111yescharacteristic
1269C4×D4C22×D1111yescharacteristic
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—221no—
1274#117—221no—
1275#117—221no—
1276#117—221no—
1277#117C22×D1111yescharacteristic
1278#117C22×D1111yescharacteristic
1279C2×C4⋊C4—111no—
1280C2×C4⋊C4—111no—
1281C2×C4⋊C4—111no—
1282C2×C4⋊C4—221no—
1283C2×C4⋊C4—221no—
1284C2×C4⋊C4—221no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C42—111no—
1291C2×C42—221no—
1292#107—111no—
1293#107—111no—
1294#107—111no—
1295#107—111no—
1296#107—111no—
1297#107—111no—
1298#107C22×D1111yescharacteristic
1299#107C22×D1111yescharacteristic
1300#106—111no—
1301#106—111no—
1302#106—111no—
1303#106—111no—
1304#106—111no—
1305#106—111no—
1306#106C22×D1111yescharacteristic
1307#106C22×D1111yescharacteristic
1308C4⋊C8—111no—
1309C4⋊C8—111no—
1310C4⋊C8—111no—
1311C4⋊C8—111no—
1312C4⋊C8C22×D1111yescharacteristic
1313C4⋊C8C22×D1111yescharacteristic
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—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#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102C22×D1111yescharacteristic
1339#102C22×D1111yescharacteristic
1340#102C22×D1111yescharacteristic
1341#102C22×D1111yescharacteristic
1342#102C22×D1111yescharacteristic
1343#102C22×D1111yescharacteristic
1344#102C22×D1111yescharacteristic
1345#102C22×D1111yescharacteristic
1346C22⋊C8—111no—
1347C22⋊C8—111no—
1348C22⋊C8—111no—
1349C22⋊C8—111no—
1350C22⋊C8C22×D1111yescharacteristic
1351C22⋊C8C22×D1111yescharacteristic
1352#97—111no—
1353#97—111no—
1354#97—111no—
1355#97C22×D1111yescharacteristic
1356C4×C8—111no—
1357C4×C8—111no—
1358C4×C8—111no—
1359C4×C8—111no—
1360C4×C8—111no—
1361C4×C8C22×D1111yescharacteristic
1362C2×C11—42no—
1363C2×C11—41no—
1364C2×C11—81no—
1365C2×C11—81no—
1366C2×C11—81no—
1367C2×C11D4×#4111yescharacteristic
1368C2×C11C2×#57611yescharacteristic
1369C2×C11#358511yescharacteristic
1370D11—41no—
1371D11—41no—
1372D11—81no—
1373D11—81no—
1374D11—81no—
1375C24—21no—
1376C24—221no—
1377C24—221no—
1378#41—222no—
1379#41—222no—
1380#41—222no—
1381#41—441no—
1382#41—441no—
1383#41—441no—
1384#41—882no—
1385#41—882no—
1386#41—882no—
1387#41—882no—
1388#41—882no—
1389C2×Q8—111no—
1390C2×Q8—111no—
1391C2×Q8—221no—
1392C2×Q8—221no—
1393C2×D4—22no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—41no—
1400C2×D4—111no—
1401C2×D4—111no—
1402C2×D4—111no—
1403C2×D4—111no—
1404C2×D4—111no—
1405C2×D4—111no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
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—221no—
1419C2×D4—221no—
1420C2×D4—222no—
1421C2×D4—222no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—441no—
1434C2×D4—441no—
1435C2×D4—882no—
1436C2×D4—882no—
1437C2×D4—882no—
1438C2×D4C23×D1111yescharacteristic
1439C2×D4C23×D1111yescharacteristic
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—111no—
1451C22×C4—111no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—882no—
1469C22×C4C23×D1111yescharacteristic
1470SD16—114no—
1471SD16—222no—
1472SD16—222no—
1473SD16—222no—
1474D8—22no—
1475D8—22no—
1476D8—41no—
1477D8—41no—
1478D8—222no—
1479D8—222no—
1480D8—222no—
1481D8—222no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486M16—222no—
1487M16—222no—
1488M16—222no—
1489M16—441no—
1490C2×C8—111no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—441no—
1495C2×C8—441no—
1496C2×C8C23×D1111yescharacteristic
1497C2×C8C23×D1111yescharacteristic
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—111no—
1503C4⋊C4—111no—
1504C4⋊C4—111no—
1505C4⋊C4—111no—
1506C4⋊C4—111no—
1507C4⋊C4—111no—
1508C4⋊C4—111no—
1509C4⋊C4—111no—
1510C4⋊C4—111no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4D4×D1111yescharacteristic
1530C4⋊C4D4×D1111yescharacteristic
1531C4⋊C4C23×D1111yescharacteristic
1532C4⋊C4C23×D1111yescharacteristic
1533C4⋊C4C23×D1111yescharacteristic
1534C4⋊C4C23×D1111yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—111no—
1545C22⋊C4—111no—
1546C22⋊C4—111no—
1547C22⋊C4—111no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
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⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4D4×D1111yescharacteristic
1575C22⋊C4D4×D1111yescharacteristic
1576C42—21no—
1577C42—111no—
1578C42—111no—
1579C42—111no—
1580C42—111no—
1581C42—221no—
1582C42—221no—
1583C42—221no—
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42C23×D1111yescharacteristic
1588C42C23×D1111yescharacteristic
1589C11#6155511yescharacteristic, complemented, Sylow
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—42no—
1595C23—81no—
1596C23—81no—
1597C23—111no—
1598C23—111no—
1599C23—221no—
1600C23—221no—
1601C23—221no—
1602C23—442no—
1603C23—442no—
1604C23—442no—
1605C23—881no—
1606C23—881no—
1607C23—881no—
1608C23C2×D4×D1111yescharacteristic
1609Q8—112no—
1610Q8—222no—
1611Q8—221no—
1612Q8—442no—
1613Q8—881no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—42no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—222no—
1627D4—221no—
1628D4—221no—
1629D4—221no—
1630D4—221no—
1631D4—221no—
1632D4—221no—
1633D4—441no—
1634D4—442no—
1635D4—442no—
1636D4—442no—
1637D4—441no—
1638D4—442no—
1639D4—442no—
1640D4—442no—
1641D4—442no—
1642D4—442no—
1643D4—442no—
1644D4—881no—
1645D4—881no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4#41×D1112yes—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—111no—
1674C2×C4—111no—
1675C2×C4—111no—
1676C2×C4—111no—
1677C2×C4—111no—
1678C2×C4—111no—
1679C2×C4—222no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—441no—
1690C2×C4—442no—
1691C2×C4—442no—
1692C2×C4—442no—
1693C2×C4—442no—
1694C2×C4—442no—
1695C2×C4—442no—
1696C2×C4—881no—
1697C2×C4—881no—
1698C2×C4—881no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4C2×D4×D1111yescharacteristic
1707C2×C4C2×D4×D1111yescharacteristic
1708C2×C4C2×D4×D1111yescharacteristic
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C24×D1111yescharacteristic
1712C8—21no—
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—112no—
1717C8—221no—
1718C8—221no—
1719C8—221no—
1720C22—21no—
1721C22—21no—
1722C22—22no—
1723C22—21no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—162no—
1736C22—221no—
1737C22—221no—
1738C22—221no—
1739C22—221no—
1740C22—221no—
1741C22—221no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—884no—
1752C22—1762no—
1753C22C22×D4×D1111yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—112no—
1764C4—221no—
1765C4—221no—
1766C4—221no—
1767C4—222no—
1768C4—221no—
1769C4—221no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4—441no—
1774C4C2×#41×D1111yescharacteristic
1775C4#1062345311yescharacteristic
1776C2—41no—
1777C2—42no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—441no—
1782C2—441no—
1783C2—881no—
1784C2—881no—
1785C2—881no—
1786C2#1308209911yescharacteristic
1787C2D11×#57611yescharacteristic
1788C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3122C2
socleC22×C11C23×D4
hypercenter#3122D11
hypocenterC11#61555
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #13082638C2semidirect
2. #13082618C2semidirect
3. #13081587C2semidirect
4. #13081486C2semidirect
5. #13081348C2semidirect
6. #13081318C2semidirect
7. #13081219C2semidirect
8. #13081215C2semidirect
9. #13081209C2semidirect
10. #13080761C2semidirect
11. #13080754C2semidirect
12. #13080629C2semidirect
13. #13080620C2semidirect
14. #13080564C2semidirect
15. #13080422C2semidirect
16. #13080239C2semidirect
17. #13080234C2semidirect
18. #13080234C2semidirect
19. #13079351C2semidirect
20. #13079262C2semidirect
21. #13079260C2semidirect
22. #13078858C2semidirect
23. #13078819C2semidirect
24. #13078817C2semidirect
25. #13078672C2semidirect
26. #13078614C2semidirect
27. #13077618C2semidirect
28. #13077448C2semidirect
29. #13077441C2semidirect
30. #13077427C2semidirect
31. C11×#3122C2semidirect
32. C11×#540C22semidirect
39. #10623249C22semidirect
40. #10623249C22semidirect
41. #10623226C22semidirect
42. #10623216C22semidirect
47. #10623149C22semidirect
49. #10623142C22semidirect
52. #10623130C22semidirect
53. #10623130C22semidirect
56. #10623093C22semidirect
63. #10623079C22semidirect
65. #10623077C22semidirect
70. C4×#4341C22semidirect
75. #10623054C22semidirect
80. C11×#482C22semidirect
81. C11×#482C22semidirect
83. C11×#478C22semidirect
85. C11×#459C22semidirect
89. C11×#442C22semidirect
91. C4×C11×D8C22semidirect
92. C11×#433C22semidirect
94. #10622772C22semidirect
95. #10622771C22semidirect
96. #10622771C22semidirect
97. #10622770C22semidirect
101. #10622764C22semidirect
102. #10622764C22semidirect
105. #10622763C22semidirect
106. #10622763C22semidirect
108. #10622686C22semidirect
109. #10622684C22semidirect
110. #10622680C22semidirect
111. #10622677C22semidirect
112. #10622652C22semidirect
113. #10622652C22semidirect
114. #10622651C22semidirect
115. #10622651C22semidirect
117. #10622631C22semidirect
119. C4×#4324C22semidirect
121. #10622627C22semidirect
122. #10622627C22semidirect
123. #10622627C22semidirect
125. C4×#4323C22semidirect
126. C4×#4323C22semidirect
127. C4×#4323C22semidirect
128. #10622615C22semidirect
129. #10622610C22semidirect
130. #10622608C22semidirect
131. #10622503C22semidirect
132. #10622502C22semidirect
133. #10622498C22semidirect
134. #10622496C22semidirect
135. #10622495C22semidirect
136. #10622494C22semidirect
137. #10622491C22semidirect
138. #10622488C22semidirect
139. #10622484C22semidirect
140. #10622479C22semidirect
141. #10622478C22semidirect
142. #10622476C22semidirect
143. #10622474C22semidirect
144. #10622470C22semidirect
145. #10622468C22semidirect
146. #10622465C22semidirect
147. #10622461C22semidirect
148. #10622460C22semidirect
149. #10622456C22semidirect
150. #10622451C22semidirect
151. #10622449C22semidirect
152. #10622443C22semidirect
153. #10622442C22semidirect
154. #10622441C22semidirect
155. #10622399C22semidirect
156. #10622399C22semidirect
157. #10622395C22semidirect
158. #10622395C22semidirect
159. #10622395C22semidirect
160. #10622395C22semidirect
161. #10622394C22semidirect
162. #10622394C22semidirect
163. #10622392C22semidirect
164. #10622392C22semidirect
165. #10622387C22semidirect
166. #10622387C22semidirect
169. #10622385C22semidirect
170. #10622384C22semidirect
173. #10622379C22semidirect
174. #10622377C22semidirect
175. #10622377C22semidirect
177. #10622375C22semidirect
178. #10622375C22semidirect
179. #10622374C22semidirect
180. #10622373C22semidirect
181. #10622373C22semidirect
185. #10622369C22semidirect
186. #10622369C22semidirect
187. #10622349C22semidirect
188. #10622348C22semidirect
189. #10622347C22semidirect
190. #10622347C22semidirect
191. #10622343C22semidirect
192. #10622342C22semidirect
193. #10622342C22semidirect
194. (C22⋊D11)⋊C8C22semidirect
195. #10622324C22semidirect
196. #10622323C22semidirect
197. #10622322C22semidirect
198. #10622320C22semidirect
199. C4×D88C22semidirect
200. C4×#4314C22semidirect
201. #10622302C22semidirect
202. #10622298C22semidirect
618. #4324#41semidirect
718. #3122D11semidirect
889. #540C2×D11semidirect
921. #482C2×D11semidirect
922. #482C2×D11semidirect
936. #478C2×D11semidirect
964. #459C2×D11semidirect
986. #442C2×D11semidirect
1006. C4×D8C2×D11semidirect
1014. #433C2×D11semidirect
1589. C11#61555semidirect

Maximal subgroups

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

subgroupindex
#130826382
#130826182
#130815872
#130814862
#130813482
#130813182
#130812192
#130812152
#130812092
#130807612
#130807542
#130806292
#130806202
#130805642
#130804222
#130802392
#130802342
#130793512
#130792622
#130792602
#130788582
#130788192
#130788172
#130786722
#130786142
#130776182
#130774482
#130774412
#130774272
C11×#31222
#6155511