Finite Group Databasebeta

← #15638366

Subgroups — #15638366

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#13082646C211yesmaximal, characteristic, complemented
2#13082618C211yesmaximal, characteristic, complemented
3#13081589C211yesmaximal, characteristic, complemented
4#13081488C211yesmaximal, characteristic, complemented
5#13081342C211yesmaximal, characteristic, complemented
6#13081320C211yesmaximal, characteristic, complemented
7#13081220C211yesmaximal, characteristic, complemented
8#13081217C211yesmaximal, characteristic, complemented
9#13081206C211yesmaximal, characteristic, complemented
10#13080763C211yesmaximal, characteristic, complemented
11#13080756C211yesmaximal, characteristic, complemented
12#13080628C211yesmaximal, characteristic, complemented
13#13080621C211yesmaximal, characteristic, complemented
14#13080561C211yesmaximal, characteristic, complemented
15#13080424C211yesmaximal, characteristic, complemented
16#13080235C211yesmaximal, characteristic, complemented
17#13080233C211yesmaximal, characteristic, complemented
18#13080233C211yesmaximal, characteristic, complemented
19#13079351C211yesmaximal, characteristic, complemented
20#13079264C211yesmaximal, characteristic, complemented
21#13078856C211yesmaximal, characteristic, complemented
22#13078854C211yesmaximal, characteristic, complemented
23#13078811C211yesmaximal, characteristic, complemented
24#13078809C211yesmaximal, characteristic, complemented
25#13078672C211yesmaximal, characteristic, complemented
26#13078614C211yesmaximal, characteristic, complemented
27#13077616C211yesmaximal, characteristic, complemented
28#13077450C211yesmaximal, characteristic, complemented
29#13077445C211yesmaximal, characteristic, complemented
30#13077427C211yesmaximal, characteristic, complemented
31C11×#3176C211yesmaximal, characteristic, complemented
32C11×#540C2211yescharacteristic
33C11×#540C2211yescharacteristic, complemented
34C2×#66964C2211yescharacteristic
35C2×#66964C2211yescharacteristic
36C2×#66961C2211yescharacteristic
37#10623249C2211yescharacteristic
38#10623249C2211yescharacteristic, complemented
39#10623249C2211yescharacteristic, complemented
40#10623248C2211yescharacteristic
41#10623226C2211yescharacteristic
42#10623226C2211yescharacteristic, complemented
43#10623221C2211yescharacteristic
44#10623216C2211yescharacteristic, complemented
45#10623194—21no—
46#10623192—21no—
47#10623192—21no—
48#10623188—21no—
49#10623187—21no—
50#10623186—21no—
51#10623185—21no—
52#10623180—21no—
53#10623149C2211yescharacteristic, complemented
54#10623147C2211yescharacteristic
55#10623146—21no—
56#10623145C2211yescharacteristic
57#10623144—21no—
58#10623143—21no—
59#10623142C2211yescharacteristic, complemented
60#10623141—21no—
61#10623140C2211yescharacteristic
62#10623140C2211yescharacteristic
63D11×#121—21no—
64#10623132—21no—
65#10623130—21no—
66#10623130C2211yescharacteristic, complemented
67#10623130C2211yescharacteristic, complemented
68#10623127—21no—
69#10623093C2211yescharacteristic
70#10623093C2211yescharacteristic, complemented
71#10623079C2211yescharacteristic
72#10623079C2211yescharacteristic, complemented
73#10623077C2211yescharacteristic, complemented
74#10623076C2211yescharacteristic
75C4×D4×D11C2211yescharacteristic
76C4×#4341C2211yescharacteristic, complemented
77#10623059C2211yescharacteristic
78#10623054C2211yescharacteristic, complemented
79#10623052C2211yescharacteristic
80C11×#499C2211yescharacteristic, complemented
81C11×#493C2211yescharacteristic, complemented
82C11×#490C2211yescharacteristic, complemented
83C11×#490C2211yescharacteristic, complemented
84C11×#469C2211yescharacteristic, complemented
85C11×#469C2211yescharacteristic, complemented
86C11×#466C2211yescharacteristic, complemented
87C11×#466C2211yescharacteristic, complemented
88C11×#442C2211yescharacteristic, complemented
89C11×#442C2211yescharacteristic, complemented
90C4×C11×D8C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic, complemented
92C11×#405C2211yescharacteristic, complemented
93#10622772C2211yescharacteristic, complemented
94#10622772C2211yescharacteristic, complemented
95#10622771C2211yescharacteristic, complemented
96#10622771C2211yescharacteristic, complemented
97#10622769C2211yescharacteristic
98#10622769C2211yescharacteristic
99#10622764C2211yescharacteristic, complemented
100#10622764C2211yescharacteristic, complemented
101#10622763C2211yescharacteristic, complemented
102#10622763C2211yescharacteristic, complemented
103#10622763C2211yescharacteristic, complemented
104#10622763C2211yescharacteristic, complemented
105D8×Dic11C2211yescharacteristic, complemented
106D8×Dic11C2211yescharacteristic, complemented
107#10622741C2211yescharacteristic, complemented
108#10622741C2211yescharacteristic, complemented
109#10622734C2211yescharacteristic, complemented
110#10622726C2211yescharacteristic, complemented
111C2×#66885C2211yescharacteristic
112#10622724C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622688C2211yescharacteristic, complemented
115#10622685C2211yescharacteristic
116#10622685C2211yescharacteristic, complemented
117#10622685C2211yescharacteristic, complemented
118#10622679C2211yescharacteristic
119#10622679C2211yescharacteristic, complemented
120#10622679C2211yescharacteristic, complemented
121#10622676C2211yescharacteristic, complemented
122#10622650C2211yescharacteristic, complemented
123#10622650C2211yescharacteristic, complemented
124#10622649C2211yescharacteristic
125#10622649C2211yescharacteristic
126#10622648C2211yescharacteristic, complemented
127#10622648C2211yescharacteristic, complemented
128#10622647C2211yescharacteristic, complemented
129#10622646C2211yescharacteristic, complemented
130#10622631C2211yescharacteristic, complemented
131C4×#4324C2211yescharacteristic, complemented
132#10622627C2211yescharacteristic
133#10622627C2211yescharacteristic, complemented
134#10622627C2211yescharacteristic, complemented
135C4×#4323C2211yescharacteristic
136C4×#4323C2211yescharacteristic, complemented
137C4×#4323C2211yescharacteristic, complemented
138#10622613C2211yescharacteristic, complemented
139#10622504C2211yescharacteristic
140#10622503C2211yescharacteristic
141#10622498C2211yescharacteristic, complemented
142#10622498C2211yescharacteristic, complemented
143#10622495C2211yescharacteristic, complemented
144#10622495C2211yescharacteristic, complemented
145#10622490C2211yescharacteristic, complemented
146#10622488C2211yescharacteristic, complemented
147#10622478C2211yescharacteristic, complemented
148#10622478C2211yescharacteristic, complemented
149#10622474C2211yescharacteristic, complemented
150#10622474C2211yescharacteristic, complemented
151#10622471C2211yescharacteristic, complemented
152#10622468C2211yescharacteristic, complemented
153#10622465C2211yescharacteristic
154#10622465C2211yescharacteristic
155#10622399C2211yescharacteristic
156#10622399C2211yescharacteristic
157#10622398C2211yescharacteristic
158#10622397C2211yescharacteristic, complemented
159#10622395C2211yescharacteristic, complemented
160#10622395C2211yescharacteristic, complemented
161#10622394C2211yescharacteristic, complemented
162#10622394C2211yescharacteristic, complemented
163#10622392C2211yescharacteristic, complemented
164#10622390C2211yescharacteristic, complemented
165#10622388C2211yescharacteristic, complemented
166#10622388C2211yescharacteristic, complemented
167#10622387C2211yescharacteristic, complemented
168#10622386C2211yescharacteristic
169#10622386C2211yescharacteristic
170#10622385C2211yescharacteristic, complemented
171#10622384C2211yescharacteristic, complemented
172#10622383C2211yescharacteristic
173D11×#102C2211yescharacteristic
174#10622379C2211yescharacteristic, complemented
175#10622377C2211yescharacteristic, complemented
176#10622377C2211yescharacteristic, complemented
177#10622376C2211yescharacteristic, complemented
178#10622375C2211yescharacteristic, complemented
179#10622375C2211yescharacteristic, complemented
180#10622374C2211yescharacteristic, complemented
181#10622373C2211yescharacteristic, complemented
182#10622373C2211yescharacteristic, complemented
183#10622372C2211yescharacteristic, complemented
184#10622371C2211yescharacteristic, complemented
185#10622370C2211yescharacteristic, complemented
186#10622369C2211yescharacteristic
187#10622324C2211yescharacteristic
188#10622324C2211yescharacteristic, complemented
189#10622323C2211yescharacteristic
190#10622323C2211yescharacteristic, complemented
191#10622321C2211yescharacteristic, complemented
192#10622320C2211yescharacteristic, complemented
193#10622319C2211yescharacteristic, complemented
194#10622314C2211yescharacteristic, complemented
195C4×D88C2211yescharacteristic
196C4×D88C2211yescharacteristic, complemented
197C4×#4314C2211yescharacteristic
198C4×#4314C2211yescharacteristic, complemented
199#10622303C2211yescharacteristic, complemented
200#10622301C2211yescharacteristic, complemented
201#10622298C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×#4341—21no—
204C2×#4341—21no—
205C2×#4341—21no—
206C2×#4341C2311yescharacteristic
207C2×#4341C2311yescharacteristic
208C2×D4×D11—21no—
209C2×D4×D11—21no—
210C2×D4×D11—21no—
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339—21no—
214C2×#4339—21no—
215C2×#4339C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—21no—
218C2×C11×D8C2311yescharacteristic
219C2×C11×D8C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C2×C11×M16C2311yescharacteristic
223C22×C8×C11C2311yescharacteristic
224C11×#127C2311yescharacteristic
225C11×#127C2311yescharacteristic
226C11×#125C2311yescharacteristic
227C11×#125C2311yescharacteristic
228C11×#123—21no—
229C11×#123—21no—
230C11×#123—21no—
231C11×#123—21no—
232C11×#121—21no—
233C11×#121—21no—
234C11×#121—21no—
235C11×#121—21no—
236C11×#121C2311yescharacteristic
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#121C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C4×D4×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117C2311yescharacteristic
245#66993—21no—
246#66993—21no—
247#66993—21no—
248#66993C2311yescharacteristic
249#66993C2311yescharacteristic
250#66993C2311yescharacteristic
251#66993C2311yescharacteristic
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#66992—21no—
261#66992—21no—
262#66991—21no—
263#66991—21no—
264#66991—21no—
265#66991—21no—
266#66991C2311yescharacteristic
267#66991C2311yescharacteristic
268#66991C2311yescharacteristic
269#66991C2311yescharacteristic
270#66990—21no—
271#66990—21no—
272#66990—21no—
273#66990—21no—
274#66989—21no—
275#66988—21no—
276#66988—21no—
277D4×Dic11—21no—
278D4×Dic11—21no—
279D4×Dic11C2311yescharacteristic
280D4×Dic11C2311yescharacteristic
281D4×Dic11C2311yescharacteristic
282D4×Dic11C2311yescharacteristic
283C2×#4324C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285C2×#4323C2311yescharacteristic
286C2×#4323C2311yescharacteristic
287C2×#4323C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291#66983—21no—
292#66983—21no—
293#66982—21no—
294#66982—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11C2311yescharacteristic
302C4×C22⋊D11C2311yescharacteristic
303C2×(C2×D11)⋊C4—21no—
304#66979C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×Dic11⋊C4—21no—
307C2×C4×Dic11—21no—
308#66964—24no—
309#66964—24no—
310#66961—24no—
311C2×D88C2311yescharacteristic
312C2×D88C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4313C2311yescharacteristic
316C2×#4313C2311yescharacteristic
317C2×#4313C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319#66951—21no—
320#66951—21no—
321#66951D411yescharacteristic
322#66950—21no—
323#66949—21no—
324#66949—21no—
325#66949D411yescharacteristic
326#66948—21no—
327#66948—21no—
328#66948C2311yescharacteristic
329#66948C2311yescharacteristic
330#66948C2311yescharacteristic
331#66948C2311yescharacteristic
332#66947—21no—
333#66947—21no—
334#66947D411yescharacteristic
335#66946—21no—
336#66946—21no—
337#66946—21no—
338#66946—21no—
339#66946C2311yescharacteristic
340#66946C2311yescharacteristic
341#66945—21no—
342#66945C2311yescharacteristic
343#66945C2311yescharacteristic
344C4⋊C4×D11—21no—
345C4⋊C4×D11—21no—
346C4⋊C4×D11C2311yescharacteristic
347C4⋊C4×D11C2311yescharacteristic
348#66943C2311yescharacteristic
349#66943C2311yescharacteristic
350#66942—21no—
351#66942—21no—
352#66942D411yescharacteristic
353#66941—21no—
354#66941C2311yescharacteristic
355#66941C2311yescharacteristic
356#66940—21no—
357#66940C2311yescharacteristic
358#66940C2311yescharacteristic
359#66939—21no—
360#66938—21no—
361#66938—21no—
362#66938—21no—
363#66938D411yescharacteristic
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937D411yescharacteristic
373#66936—21no—
374#66936—21no—
375#66936—21no—
376#66936D411yescharacteristic
377#66935—21no—
378#66935—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—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390C22⋊C4×D11—21no—
391C22⋊C4×D11—21no—
392#66932—21no—
393#66932—21no—
394#66932D411yescharacteristic
395#66931—21no—
396#66930—21no—
397#66930—21no—
398#66930—21no—
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic
402C4×D44C2311yescharacteristic
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406#66925C2311yescharacteristic
407C42×D11C2311yescharacteristic
408C4×Dic22C2311yescharacteristic
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#102C2311yescharacteristic
416C11×#102C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#97C2311yescharacteristic
424C11×#97C2311yescharacteristic
425C4×C8×C11C2311yescharacteristic
426C4×C8×C11C2311yescharacteristic
427#66896C2311yescharacteristic
428#66896C2311yescharacteristic
429#66896C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435C22⋊(C11⋊C8)C2311yescharacteristic
436C22⋊(C11⋊C8)C2311yescharacteristic
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
477C4⋊(C11⋊C8)C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479#66867C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61555—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C23×D11—21no—
485C2×D4×C11—21no—
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C2×D4×C11C2411yescharacteristic
496C2×D4×C11C2411yescharacteristic
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11C2411yescharacteristic
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—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528#4341—22no—
529#4341—22no—
530#4341—41no—
531#4341—41no—
532#4341—82no—
533#4341—82no—
534#4341—82no—
535D4×D11—22no—
536D4×D11—22no—
537D4×D11—41no—
538D4×D11—41no—
539D4×D11—82no—
540D4×D11—82no—
541D4×D11—82no—
542#4339—22no—
543#4339—41no—
544#4339—82no—
545#4339—82no—
546C2×D44—21no—
547C2×D44—21no—
548C2×D44—21no—
549C2×D44—21no—
550C2×D44—22no—
551C2×D44—21no—
552C2×D44—41no—
553C2×D44C2×D411yescharacteristic
554C2×D44C2411yescharacteristic
555C2×D44C2411yescharacteristic
556C2×D44C2411yescharacteristic
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—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—
581C11×M16—22no—
582C2×C8×C11—41no—
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C42×C11C2411yescharacteristic
608C42×C11C2411yescharacteristic
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11C2×D411yescharacteristic
619C22⋊Dic11C2×D411yescharacteristic
620#4324—22no—
621#4324—22no—
622#4323—22no—
623#4323—22no—
624#4323—41no—
625#4323—41no—
626#4323—41no—
627#4323—41no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644(C2×D11)⋊C4C2×D411yescharacteristic
645(C2×D11)⋊C4C2×D411yescharacteristic
646(C2×D11)⋊C4C2×D411yescharacteristic
647(C2×D11)⋊C4C2×D411yescharacteristic
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11C2×D411yescharacteristic
652C4⋊Dic11C2×D411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654C4⋊Dic11C2411yescharacteristic
655C4⋊Dic11C2411yescharacteristic
656C4⋊Dic11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
670Dic11⋊C4C2×D411yescharacteristic
671Dic11⋊C4C2×D411yescharacteristic
672Dic11⋊C4C2×D411yescharacteristic
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11C2×D411yescharacteristic
681C4×Dic11C2×D411yescharacteristic
682C4×Dic11C2411yescharacteristic
683C4×Dic11C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685C2×C11⋊C8C2411yescharacteristic
686C2×C11⋊C8C2411yescharacteristic
687C2×C11⋊C8C2411yescharacteristic
688D88—22no—
689D88—22no—
690#4314—22no—
691#4314#4114yescomplemented
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#3176D1111yescharacteristic, complemented
717#3122—111no—
718#3122—111no—
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×C11C22×D411yescharacteristic
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—42no—
736C22×D11—42no—
737C22×D11—42no—
738C22×D11—42no—
739C22×D11—81no—
740C22×D11—81no—
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—21no—
754D4×C11—81no—
755D4×C11—81no—
756D4×C11—81no—
757D4×C11—81no—
758D4×C11—81no—
759D4×C11—81no—
760D4×C11—81no—
761D4×C11—81no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—81no—
769C2×C4×C11—81no—
770C2×C4×C11—81no—
771C2×C4×C11—81no—
772C2×C4×C11C22×D411yescharacteristic
773C2×C4×C11C22×D411yescharacteristic
774C2×C4×C11C22×D411yescharacteristic
775C2×C4×C11C22×D411yescharacteristic
776C2×C4×C11C22×D411yescharacteristic
777C2×C4×C11C2511yescharacteristic
778C22⋊D11—22no—
779C22⋊D11—41no—
780C22⋊D11—42no—
781C22⋊D11—42no—
782C22⋊D11—42no—
783C22⋊D11—42no—
784C22⋊D11—42no—
785C22⋊D11—42no—
786C22⋊D11—42no—
787C22⋊D11—42no—
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—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—42no—
803C2×Dic11—42no—
804C2×Dic11—42no—
805C2×Dic11—42no—
806C2×Dic11—81no—
807C2×Dic11—81no—
808C2×Dic11—81no—
809C2×Dic11C22×D411yescharacteristic
810C2×Dic11C22×D411yescharacteristic
811C2×Dic11C22×D411yescharacteristic
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815D44—21no—
816D44—21no—
817D44—21no—
818D44—21no—
819D44—21no—
820D44—41no—
821D44—42no—
822D44—42no—
823D44—81no—
824D44—81no—
825D44—81no—
826D44C2×#4112yes—
827C4×D11—21no—
828C4×D11—21no—
829C4×D11—21no—
830C4×D11—21no—
831C4×D11—22no—
832C4×D11—41no—
833C4×D11—42no—
834C4×D11—42no—
835C4×D11—81no—
836C4×D11—81no—
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×C11C2×#4112yes—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C11⋊C8—21no—
856C11⋊C8—21no—
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—221no—
887#540—221no—
888#540C2×D1111yescharacteristic
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#518—111no—
903C4×#41—111no—
904C2×C4×D4—111no—
905#499—111no—
906#499C2×D1111yescharacteristic, complemented
907#498—111no—
908#493—111no—
909#493—111no—
910#493C2×D1111yescharacteristic, complemented
911#490—111no—
912#490—111no—
913#490C2×D1111yescharacteristic, complemented
914#490C2×D1111yescharacteristic, complemented
915#486—111no—
916#486—111no—
917#482—111no—
918#482—111no—
919#482—111no—
920#482—111no—
921#482—111no—
922#482—111no—
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#478—111no—
936#478—111no—
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#469C2×D1111yescharacteristic, complemented
948#469C2×D1111yescharacteristic, complemented
949#466—111no—
950#466—111no—
951#466C2×D1111yescharacteristic, complemented
952#466C2×D1111yescharacteristic, complemented
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#459—111no—
964#459—111no—
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#447—111no—
976#447—111no—
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, complemented
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, complemented
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#433—111no—
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#405C2×D1111yescharacteristic, complemented
1027C4×M16—111no—
1028C22×C11—21no—
1029C22×C11—21no—
1030C22×C11—21no—
1031C22×C11—41no—
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×C11C23×D411yescharacteristic
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—22no—
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—84no—
1060C2×D11—162no—
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—111no—
1095C22×D4—221no—
1096C22×D4—221no—
1097C22×D4—221no—
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×M16C22×D1111yescharacteristic
1122C22×C8—111no—
1123C22×C8C22×D1111yescharacteristic
1124C4⋊Q8—111no—
1125C4⋊Q8—111no—
1126C4⋊Q8—221no—
1127#127—111no—
1128#127—111no—
1129#127—111no—
1130#127—111no—
1131#127—221no—
1132#127—221no—
1133#127—221no—
1134#127C22×D1111yescharacteristic
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—221no—
1146#125—221no—
1147#125C22×D1111yescharacteristic
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—21no—
1157#123—21no—
1158#123—111no—
1159#123—111no—
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—21no—
1178#121—21no—
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#121C22×D1111yescharacteristic
1215#121C22×D1111yescharacteristic
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—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—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×D4—221no—
1265C4×D4—221no—
1266C4×D4C22×D1111yescharacteristic
1267C4×D4C22×D1111yescharacteristic
1268C4×D4C22×D1111yescharacteristic
1269C4×D4C22×D1111yescharacteristic
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—111no—
1274#117—221no—
1275#117—221no—
1276#117—221no—
1277#117—221no—
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—221no—
1286C2×C22⋊C4—221no—
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⋊C8—111no—
1313C4⋊C8—111no—
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⋊C8—111no—
1351C22⋊C8—111no—
1352#97—111no—
1353#97—111no—
1354#97C22×D1111yescharacteristic
1355#97C22×D1111yescharacteristic
1356C4×C8—111no—
1357C4×C8—111no—
1358C4×C8—111no—
1359C4×C8—111no—
1360C4×C8C22×D1111yescharacteristic
1361C4×C8C22×D1111yescharacteristic
1362C2×C11—41no—
1363C2×C11—81no—
1364C2×C11—81no—
1365C2×C11—81no—
1366C2×C11—81no—
1367C2×C11D4×#4111yescharacteristic
1368C2×C11C2×#57611yescharacteristic
1369C2×C11#358511yescharacteristic
1370D11—41no—
1371D11—41no—
1372D11—42no—
1373D11—81no—
1374D11—81no—
1375C24—221no—
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—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—111no—
1402C2×D4—111no—
1403C2×D4—111no—
1404C2×D4—111no—
1405C2×D4—111no—
1406C2×D4—111no—
1407C2×D4—222no—
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—221no—
1421C2×D4—221no—
1422C2×D4—222no—
1423C2×D4—222no—
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—441no—
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—111no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—221no—
1451C22×C4—221no—
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—22no—
1487M16—222no—
1488M16—222no—
1489M16—441no—
1490C2×C8—41no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—111no—
1495C2×C8—441no—
1496C2×C8C23×D1111yescharacteristic
1497C2×C8C23×D1111yescharacteristic
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
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—111no—
1515C4⋊C4—111no—
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—111no—
1544C22⋊C4—111no—
1545C22⋊C4—111no—
1546C22⋊C4—111no—
1547C22⋊C4—111no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
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⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4D4×D1111yescharacteristic
1575C22⋊C4D4×D1111yescharacteristic
1576C42—111no—
1577C42—111no—
1578C42—111no—
1579C42—111no—
1580C42—221no—
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—111no—
1595C23—111no—
1596C23—221no—
1597C23—221no—
1598C23—221no—
1599C23—442no—
1600C23—442no—
1601C23—442no—
1602C23—442no—
1603C23—881no—
1604C23—881no—
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—21no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—112no—
1631D4—222no—
1632D4—221no—
1633D4—221no—
1634D4—221no—
1635D4—221no—
1636D4—221no—
1637D4—441no—
1638D4—442no—
1639D4—442no—
1640D4—442no—
1641D4—442no—
1642D4—441no—
1643D4—442no—
1644D4—442no—
1645D4—442no—
1646D4—442no—
1647D4—442no—
1648D4—442no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
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—111no—
1672C2×C4—111no—
1673C2×C4—111no—
1674C2×C4—111no—
1675C2×C4—111no—
1676C2×C4—111no—
1677C2×C4—222no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—441no—
1688C2×C4—442no—
1689C2×C4—442no—
1690C2×C4—442no—
1691C2×C4—442no—
1692C2×C4—442no—
1693C2×C4—442no—
1694C2×C4—881no—
1695C2×C4—881no—
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—221no—
1716C8—221no—
1717C8—221no—
1718C8—221no—
1719C8#41×D1112yes—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—221no—
1736C22—221no—
1737C22—221no—
1738C22—221no—
1739C22—222no—
1740C22—221no—
1741C22—221no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—884no—
1751C22—1762no—
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—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—441no—
1782C2—441no—
1783C2—442no—
1784C2—881no—
1785C2—881no—
1786C2#1308210211yescharacteristic
1787C2D11×#57611yescharacteristic
1788C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3176C2
socleC22×C11C23×D4
hypercenter#3176D11
hypocenterC11#61555
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3176

Complements

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

NH ≅ G/Ntype
1. #13082646C2semidirect
2. #13082618C2semidirect
3. #13081589C2semidirect
4. #13081488C2semidirect
5. #13081342C2semidirect
6. #13081320C2semidirect
7. #13081220C2semidirect
8. #13081217C2semidirect
9. #13081206C2semidirect
10. #13080763C2semidirect
11. #13080756C2semidirect
12. #13080628C2semidirect
13. #13080621C2semidirect
14. #13080561C2semidirect
15. #13080424C2semidirect
16. #13080235C2semidirect
17. #13080233C2semidirect
18. #13080233C2semidirect
19. #13079351C2semidirect
20. #13079264C2semidirect
21. #13078856C2semidirect
22. #13078854C2semidirect
23. #13078811C2semidirect
24. #13078809C2semidirect
25. #13078672C2semidirect
26. #13078614C2semidirect
27. #13077616C2semidirect
28. #13077450C2semidirect
29. #13077445C2semidirect
30. #13077427C2semidirect
31. C11×#3176C2semidirect
33. C11×#540C22semidirect
38. #10623249C22semidirect
39. #10623249C22semidirect
42. #10623226C22semidirect
44. #10623216C22semidirect
53. #10623149C22semidirect
59. #10623142C22semidirect
66. #10623130C22semidirect
67. #10623130C22semidirect
70. #10623093C22semidirect
72. #10623079C22semidirect
73. #10623077C22semidirect
76. C4×#4341C22semidirect
78. #10623054C22semidirect
80. C11×#499C22semidirect
81. C11×#493C22semidirect
82. C11×#490C22semidirect
83. C11×#490C22semidirect
84. C11×#469C22semidirect
85. C11×#469C22semidirect
86. C11×#466C22semidirect
87. C11×#466C22semidirect
88. C11×#442C22semidirect
89. C11×#442C22semidirect
90. C4×C11×D8C22semidirect
91. C4×C11×D8C22semidirect
92. C11×#405C22semidirect
93. #10622772C22semidirect
94. #10622772C22semidirect
95. #10622771C22semidirect
96. #10622771C22semidirect
99. #10622764C22semidirect
100. #10622764C22semidirect
101. #10622763C22semidirect
102. #10622763C22semidirect
103. #10622763C22semidirect
104. #10622763C22semidirect
105. D8×Dic11C22semidirect
106. D8×Dic11C22semidirect
107. #10622741C22semidirect
108. #10622741C22semidirect
109. #10622734C22semidirect
110. #10622726C22semidirect
112. #10622724C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622688C22semidirect
116. #10622685C22semidirect
117. #10622685C22semidirect
119. #10622679C22semidirect
120. #10622679C22semidirect
121. #10622676C22semidirect
122. #10622650C22semidirect
123. #10622650C22semidirect
126. #10622648C22semidirect
127. #10622648C22semidirect
128. #10622647C22semidirect
129. #10622646C22semidirect
130. #10622631C22semidirect
131. C4×#4324C22semidirect
133. #10622627C22semidirect
134. #10622627C22semidirect
136. C4×#4323C22semidirect
137. C4×#4323C22semidirect
138. #10622613C22semidirect
141. #10622498C22semidirect
142. #10622498C22semidirect
143. #10622495C22semidirect
144. #10622495C22semidirect
145. #10622490C22semidirect
146. #10622488C22semidirect
147. #10622478C22semidirect
148. #10622478C22semidirect
149. #10622474C22semidirect
150. #10622474C22semidirect
151. #10622471C22semidirect
152. #10622468C22semidirect
158. #10622397C22semidirect
159. #10622395C22semidirect
160. #10622395C22semidirect
161. #10622394C22semidirect
162. #10622394C22semidirect
163. #10622392C22semidirect
164. #10622390C22semidirect
165. #10622388C22semidirect
166. #10622388C22semidirect
167. #10622387C22semidirect
170. #10622385C22semidirect
171. #10622384C22semidirect
174. #10622379C22semidirect
175. #10622377C22semidirect
176. #10622377C22semidirect
177. #10622376C22semidirect
178. #10622375C22semidirect
179. #10622375C22semidirect
180. #10622374C22semidirect
181. #10622373C22semidirect
182. #10622373C22semidirect
183. #10622372C22semidirect
184. #10622371C22semidirect
185. #10622370C22semidirect
188. #10622324C22semidirect
190. #10622323C22semidirect
191. #10622321C22semidirect
192. #10622320C22semidirect
193. #10622319C22semidirect
194. #10622314C22semidirect
196. C4×D88C22semidirect
198. C4×#4314C22semidirect
199. #10622303C22semidirect
200. #10622301C22semidirect
201. #10622298C22semidirect
202. C8×Dic22C22semidirect
691. #4314#41semidirect
716. #3176D11semidirect
889. #540C2×D11semidirect
906. #499C2×D11semidirect
910. #493C2×D11semidirect
913. #490C2×D11semidirect
914. #490C2×D11semidirect
947. #469C2×D11semidirect
948. #469C2×D11semidirect
951. #466C2×D11semidirect
952. #466C2×D11semidirect
985. #442C2×D11semidirect
986. #442C2×D11semidirect
1005. C4×D8C2×D11semidirect
1006. C4×D8C2×D11semidirect
1026. #405C2×D11semidirect
1589. C11#61555semidirect

Maximal subgroups

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

subgroupindex
#130826462
#130826182
#130815892
#130814882
#130813422
#130813202
#130812202
#130812172
#130812062
#130807632
#130807562
#130806282
#130806212
#130805612
#130804242
#130802352
#130802332
#130793512
#130792642
#130788562
#130788542
#130788112
#130788092
#130786722
#130786142
#130776162
#130774502
#130774452
#130774272
C11×#31762
#6155511