Finite Group Databasebeta

← #15633732

Subgroups — #15633732

Order 2816.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082477C211yesmaximal, characteristic, complemented
2#13082415C211yesmaximal, characteristic, complemented
3#13081449C211yesmaximal, characteristic, complemented
4#13081445C211yesmaximal, characteristic, complemented
5#13081439C211yesmaximal, characteristic, complemented
6#13081409C211yesmaximal, characteristic, complemented
7#13081405C211yesmaximal, characteristic, complemented
8#13081398C211yesmaximal, characteristic, complemented
9#13081394C211yesmaximal, characteristic, complemented
10#13081279C211yesmaximal, characteristic, complemented
11#13081271C211yesmaximal, characteristic, complemented
12#13081268C211yesmaximal, characteristic, complemented
13#13081265C211yesmaximal, characteristic, complemented
14#13081261C211yesmaximal, characteristic, complemented
15#13081260C211yesmaximal, characteristic, complemented
16#13081257C211yesmaximal, characteristic, complemented
17#13081253C211yesmaximal, characteristic, complemented
18#13078982C211yesmaximal, characteristic, complemented
19#13078978C211yesmaximal, characteristic, complemented
20#13078937C211yesmaximal, characteristic, complemented
21#13078479C211yesmaximal, characteristic, complemented
22#13078475C211yesmaximal, characteristic, complemented
23#13078419C211yesmaximal, characteristic, complemented
24#13078126C211yesmaximal, characteristic, complemented
25#13078123C211yesmaximal, characteristic, complemented
26#13078078C211yesmaximal, characteristic
27#13077547C211yesmaximal, characteristic, complemented
28#13077447C211yesmaximal, characteristic, complemented
29#13077445C211yesmaximal, characteristic, complemented
30C4×SD16×D11C211yesmaximal, characteristic, complemented
31C11×#3376C211yesmaximal, characteristic, complemented
32C11×#556C2211yescharacteristic, complemented
33C11×#554C2211yescharacteristic
34C2×#66967C2211yescharacteristic
35C2×SD16×D11C2211yescharacteristic
36C2×#66964C2211yescharacteristic
37#10623260C2211yescharacteristic
38#10623258C2211yescharacteristic
39#10623255C2211yescharacteristic
40#10623252C2211yescharacteristic, complemented
41#10623239—21no—
42#10623238—21no—
43#10623237—21no—
44#10623233—21no—
45#10623221C2211yescharacteristic
46#10623221C2211yescharacteristic
47#10623220C2211yescharacteristic
48#10623219C2211yescharacteristic
49#10623212C2211yescharacteristic, complemented
50#10623206C2211yescharacteristic
51#10623202C2211yescharacteristic, complemented
52#10623199C2211yescharacteristic
53#10623169—21no—
54#10623167—21no—
55#10623167—21no—
56#10623167—21no—
57#10623165—21no—
58#10623165—21no—
59#10623163—21no—
60D11×C22⋊Q8—21no—
61#10623115C2211yescharacteristic, complemented
62#10623110C2211yescharacteristic
63#10623109C2211yescharacteristic
64#10623105C2211yescharacteristic
65C4×Q8×D11C2211yescharacteristic
66#10623099C2211yescharacteristic, complemented
67#10623098C2211yescharacteristic, complemented
68#10623090C2211yescharacteristic, complemented
69#10623077C2211yescharacteristic
70#10623076C2211yescharacteristic
71#10623076C2211yescharacteristic
72C4×D4×D11C2211yescharacteristic
73#10623070C2211yescharacteristic
74#10623070C2211yescharacteristic
75D4×Dic22C2211yescharacteristic
76#10623062—21no—
77#10623059—21no—
78#10623042—21no—
79C2×#66949—21no—
80C11×#491C2211yescharacteristic, complemented
81C11×#489C2211yescharacteristic, complemented
82C11×#488C2211yescharacteristic, complemented
83C11×#479C2211yescharacteristic, complemented
84C11×#478C2211yescharacteristic, complemented
85C11×#475C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic
87C11×#463C2211yescharacteristic
88C11×#461C2211yescharacteristic
89C11×#446C2211yescharacteristic, complemented
90C11×#442C2211yescharacteristic
91C11×#440C2211yescharacteristic
92C4×C11×SD16C2211yescharacteristic
93#10622778C2211yescharacteristic
94#10622775C2211yescharacteristic
95#10622775C2211yescharacteristic
96#10622775C2211yescharacteristic
97SD16×Dic11C2211yescharacteristic
98SD16×Dic11C2211yescharacteristic
99#10622766C2211yescharacteristic
100#10622763C2211yescharacteristic
101D8×Dic11C2211yescharacteristic
102#10622706C2211yescharacteristic, complemented
103#10622697C2211yescharacteristic, complemented
104#10622696C2211yescharacteristic
105#10622694C2211yescharacteristic, complemented
106#10622681C2211yescharacteristic, complemented
107#10622681C2211yescharacteristic, complemented
108#10622676C2211yescharacteristic, complemented
109#10622676C2211yescharacteristic, complemented
110#10622670C2211yescharacteristic
111#10622670C2211yescharacteristic
112#10622669C2211yescharacteristic, complemented
113#10622669C2211yescharacteristic, complemented
114C4×#4325C2211yescharacteristic
115C4×#4325C2211yescharacteristic
116Q8×C11⋊C8C2211yescharacteristic, complemented
117#10622635C2211yescharacteristic, complemented
118#10622635C2211yescharacteristic, complemented
119#10622632C2211yescharacteristic
120C4×#4324C2211yescharacteristic
121C4×#4324C2211yescharacteristic
122#10622629C2211yescharacteristic
123#10622629C2211yescharacteristic
124C4×#4323C2211yescharacteristic
125C4×#4323C2211yescharacteristic
126#10622621C2211yescharacteristic, complemented
127#10622494C2211yescharacteristic
128#10622490C2211yescharacteristic, complemented
129#10622488C2211yescharacteristic, complemented
130#10622485C2211yescharacteristic
131#10622484C2211yescharacteristic, complemented
132#10622483C2211yescharacteristic, complemented
133#10622474C2211yescharacteristic
134D11×#106C2211yescharacteristic
135#10622467C2211yescharacteristic, complemented
136#10622467C2211yescharacteristic, complemented
137#10622465C2211yescharacteristic
138#10622465C2211yescharacteristic
139#10622464C2211yescharacteristic, complemented
140#10622460C2211yescharacteristic, complemented
141#10622457C2211yescharacteristic
142#10622457C2211yescharacteristic
143#10622454C2211yescharacteristic
144#10622452C2211yescharacteristic
145#10622452C2211yescharacteristic
146#10622450C2211yescharacteristic
147#10622443C2211yescharacteristic, complemented
148#10622443C2211yescharacteristic, complemented
149#10622443C2211yescharacteristic, complemented
150#10622442C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic
152#10622431C2211yescharacteristic
153#10622431C2211yescharacteristic
154#10622431C2211yescharacteristic
155#10622430C2211yescharacteristic
156#10622417C2211yescharacteristic
157#10622417C2211yescharacteristic
158#10622416C2211yescharacteristic
159#10622415C2211yescharacteristic
160#10622415C2211yescharacteristic
161D11×#103C2211yescharacteristic
162#10622413C2211yescharacteristic, complemented
163#10622410C2211yescharacteristic, complemented
164#10622410C2211yescharacteristic, complemented
165#10622409C2211yescharacteristic, complemented
166#10622408C2211yescharacteristic, complemented
167#10622407C2211yescharacteristic, complemented
168#10622405C2211yescharacteristic, complemented
169#10622405C2211yescharacteristic, complemented
170#10622405C2211yescharacteristic, complemented
171#10622405C2211yescharacteristic, complemented
172#10622404C2211yescharacteristic, complemented
173#10622404C2211yescharacteristic, complemented
174#10622401C2211yescharacteristic
175#10622400C2211yescharacteristic
176#10622399C2211yescharacteristic
177#10622398C2211yescharacteristic
178#10622398C2211yescharacteristic
179#10622385C2211yescharacteristic
180#10622385C2211yescharacteristic
181#10622384C2211yescharacteristic
182D11×#102C2211yescharacteristic
183#10622381C2211yescharacteristic, complemented
184#10622378C2211yescharacteristic, complemented
185#10622376C2211yescharacteristic, complemented
186#10622374C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622373C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic
190#10622370C2211yescharacteristic
191#10622327C2211yescharacteristic, complemented
192#10622324C2211yescharacteristic
193#10622323C2211yescharacteristic
194#10622321C2211yescharacteristic
195#10622321C2211yescharacteristic
196#10622316C2211yescharacteristic, complemented
197#10622314C2211yescharacteristic, complemented
198#10622314C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic
201C4×C8×D11C2211yescharacteristic
202#10622292C2211yescharacteristic, complemented
203C2×#4343C2311yescharacteristic
204C2×Q8×D11—21no—
205C2×Q8×D11C2311yescharacteristic
206C2×#4341C2311yescharacteristic
207C2×D4×D11C2311yescharacteristic
208C22×C4×D11—21no—
209C22×Dic22—21no—
210C2×C11×SD16C2311yescharacteristic
211C2×C11×SD16C2311yescharacteristic
212C2×C11×D8C2311yescharacteristic
213C11×C4⋊Q8C2311yescharacteristic
214C11×C4⋊Q8C2311yescharacteristic
215C11×#126—21no—
216C11×#126—21no—
217C11×#125C2311yescharacteristic
218C11×#125C2311yescharacteristic
219C11×#124C2311yescharacteristic
220C11×#124C2311yescharacteristic
221C11×C22⋊Q8—21no—
222C11×C22⋊Q8—21no—
223C11×C22⋊Q8—21no—
224C11×C22⋊Q8—21no—
225C4×Q8×C11C2311yescharacteristic
226C4×Q8×C11C2311yescharacteristic
227C4×Q8×C11C2311yescharacteristic
228C4×D4×C11C2311yescharacteristic
229C4×D4×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C4×D4×C11C2311yescharacteristic
232C11×#117—21no—
233C2×C11×C4⋊C4—21no—
234#67000C2311yescharacteristic
235#66999—21no—
236#66999—21no—
237#66999—21no—
238#66999—21no—
239#66999D411yescharacteristic
240Q8×Dic11C2311yescharacteristic
241Q8×Dic11C2311yescharacteristic
242#66997—21no—
243#66997D411yescharacteristic
244#66997C2311yescharacteristic
245#66997C2311yescharacteristic
246#66997C2311yescharacteristic
247C2×#4325C2311yescharacteristic
248C2×#4325C2311yescharacteristic
249#66993C2311yescharacteristic
250#66989C2311yescharacteristic
251D4×Dic11C2311yescharacteristic
252D4×Dic11C2311yescharacteristic
253D4×Dic11C2311yescharacteristic
254D4×Dic11C2311yescharacteristic
255C2×#4324C2311yescharacteristic
256C2×#4324C2311yescharacteristic
257C2×#4323C2311yescharacteristic
258C2×#4323C2311yescharacteristic
259#66982—21no—
260C4×C22⋊D11—21no—
261C4×C22⋊D11—21no—
262C4×C22⋊D11—21no—
263C4×C22⋊D11—21no—
264C4×C22⋊D11—21no—
265C2×(C2×D11)⋊C4—21no—
266C2×(C2×D11)⋊C4—21no—
267#66977—21no—
268#66977—21no—
269#66977—21no—
270C2×Dic11⋊C4—21no—
271C2×Dic11⋊C4—21no—
272C2×Dic11⋊C4—21no—
273#66967—24no—
274SD16×D11—24no—
275#66964—24no—
276C2×D88C2311yescharacteristic
277C2×#4314C2311yescharacteristic
278C2×#4314C2311yescharacteristic
279C2×#4313C2311yescharacteristic
280C2×#4313C2311yescharacteristic
281C2×C8×D11C2311yescharacteristic
282C2×C8×D11C2311yescharacteristic
283#66951—21no—
284#66951—21no—
285#66951—21no—
286#66950—21no—
287#66950—21no—
288#66950—21no—
289#66950D411yescharacteristic
290#66949—21no—
291#66949—21no—
292#66949—21no—
293#66949—21no—
294#66949—21no—
295#66949—21no—
296#66949—21no—
297#66949—21no—
298#66949—21no—
299#66949—21no—
300#66949—21no—
301#66949—21no—
302#66949—21no—
303#66949—21no—
304#66949—21no—
305#66949D411yescharacteristic
306#66949D411yescharacteristic
307#66947—21no—
308#66947—21no—
309#66946—21no—
310#66946C2311yescharacteristic
311#66946C2311yescharacteristic
312#66946C2311yescharacteristic
313#66946C2311yescharacteristic
314#66945—21no—
315#66945C2311yescharacteristic
316#66945C2311yescharacteristic
317C4⋊C4×D11—21no—
318C4⋊C4×D11—21no—
319C4⋊C4×D11—21no—
320C4⋊C4×D11—21no—
321C4⋊C4×D11—21no—
322C4⋊C4×D11C2311yescharacteristic
323C4⋊C4×D11C2311yescharacteristic
324#66943—21no—
325#66943C2311yescharacteristic
326#66943C2311yescharacteristic
327#66942—21no—
328#66942—21no—
329#66942—21no—
330#66942—21no—
331#66942—21no—
332#66942—21no—
333#66942D411yescharacteristic
334#66942D411yescharacteristic
335#66941—21no—
336#66941D411yescharacteristic
337#66941C2311yescharacteristic
338#66941C2311yescharacteristic
339#66941C2311yescharacteristic
340#66941C2311yescharacteristic
341#66940—21no—
342#66940—21no—
343#66940—21no—
344#66940—21no—
345#66940C2311yescharacteristic
346#66940C2311yescharacteristic
347#66939—21no—
348#66938—21no—
349#66938—21no—
350#66937—21no—
351#66937—21no—
352#66936—21no—
353#66936—21no—
354#66936—21no—
355#66936—21no—
356(C22⋊D11)⋊C4—21no—
357(C22⋊D11)⋊C4—21no—
358(C22⋊D11)⋊C4—21no—
359(C22⋊D11)⋊C4—21no—
360(C22⋊D11)⋊C4—21no—
361(C22⋊D11)⋊C4—21no—
362(C22⋊D11)⋊C4—21no—
363C22⋊C4×D11—21no—
364C22⋊C4×D11—21no—
365C22⋊C4×D11—21no—
366#66932—21no—
367#66932—21no—
368#66931—21no—
369#66931—21no—
370#66931—21no—
371#66931—21no—
372#66931—21no—
373#66931—21no—
374#66931—21no—
375#66931—21no—
376#66931—21no—
377#66930—21no—
378#66930—21no—
379#66929—21no—
380#66928C2311yescharacteristic
381#66928C2311yescharacteristic
382C4×D44—21no—
383C4×D44C2311yescharacteristic
384C4×D44C2311yescharacteristic
385C4×D44C2311yescharacteristic
386C4×D44C2311yescharacteristic
387#66925—21no—
388#66925—21no—
389#66925C2311yescharacteristic
390#66925C2311yescharacteristic
391C42×D11—21no—
392C42×D11C2311yescharacteristic
393#66923—21no—
394#66923C2311yescharacteristic
395#66923C2311yescharacteristic
396#66922C2311yescharacteristic
397#66922C2311yescharacteristic
398C4×Dic22—21no—
399C4×Dic22—21no—
400C4×Dic22C2311yescharacteristic
401C4×Dic22C2311yescharacteristic
402C4×Dic22C2311yescharacteristic
403C4×Dic22C2311yescharacteristic
404C4×Dic22C2311yescharacteristic
405C11×#107C2311yescharacteristic
406C11×#106C2311yescharacteristic
407C11×#106C2311yescharacteristic
408C11×C4⋊C8C2311yescharacteristic
409C11×C4⋊C8C2311yescharacteristic
410C11×C4⋊C8C2311yescharacteristic
411C11×#103C2311yescharacteristic
412C11×#103C2311yescharacteristic
413C11×#103C2311yescharacteristic
414C11×#103C2311yescharacteristic
415C11×#103C2311yescharacteristic
416C11×#103C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#97C2311yescharacteristic
422C11×#97C2311yescharacteristic
423C4×C8×C11C2311yescharacteristic
424#66899C2311yescharacteristic
425#66899C2311yescharacteristic
426#66899C2311yescharacteristic
427#66899C2311yescharacteristic
428#66899C2311yescharacteristic
429#66899C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66885C2311yescharacteristic
435#66885C2311yescharacteristic
436#66885C2311yescharacteristic
437#66885C2311yescharacteristic
438#66882C2311yescharacteristic
439#66881C2311yescharacteristic
440#66881C2311yescharacteristic
441#66880C2311yescharacteristic
442#66880C2311yescharacteristic
443#66880C2311yescharacteristic
444#66880C2311yescharacteristic
445#66880C2311yescharacteristic
446#66880C2311yescharacteristic
447#66879C2311yescharacteristic
448#66879C2311yescharacteristic
449Dic11⋊C8C2311yescharacteristic
450Dic11⋊C8C2311yescharacteristic
451Dic11⋊C8C2311yescharacteristic
452Dic11⋊C8C2311yescharacteristic
453Dic11⋊C8C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455C8×Dic11C2311yescharacteristic
456C8×Dic11C2311yescharacteristic
457C8×Dic11C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459#66874C2311yescharacteristic
460#66874C2311yescharacteristic
461#66874C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476C4⋊(C11⋊C8)C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478C4×C11⋊C8C2311yescharacteristic
479C4×C11⋊C8C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61326—111nomaximal, Sylow
482C23×D11—21no—
483C2×Q8×C11—21no—
484C2×Q8×C11C2×D411yescharacteristic
485C2×Q8×C11C2411yescharacteristic
486C2×Q8×C11C2411yescharacteristic
487C2×D4×C11C2411yescharacteristic
488C2×D4×C11C2411yescharacteristic
489C22×C4×C11—21no—
490C22×C4×C11—21no—
491C22×C4×C11—21no—
492C22×C4×C11—21no—
493C2×C22⋊D11—21no—
494C2×C22⋊D11—21no—
495C2×C22⋊D11—21no—
496C2×C22⋊D11—21no—
497C22×Dic11—21no—
498C22×Dic11—21no—
499C22×Dic11—21no—
500C22×Dic11—21no—
501C22×Dic11—21no—
502#4343—22no—
503#4343—22no—
504Q8×D11—22no—
505Q8×D11—22no—
506Q8×D11—82no—
507#4341—22no—
508#4341—22no—
509D4×D11—22no—
510D4×D11#4114yes—
511C2×D44—21no—
512C2×D44C2411yescharacteristic
513C2×D44C2411yescharacteristic
514C2×C4×D11—21no—
515C2×C4×D11—21no—
516C2×C4×D11—21no—
517C2×C4×D11—21no—
518C2×C4×D11—21no—
519C2×C4×D11—21no—
520C2×C4×D11—21no—
521C2×C4×D11—21no—
522C2×C4×D11—21no—
523C2×C4×D11—21no—
524C2×C4×D11—21no—
525C2×C4×D11—21no—
526C2×C4×D11—82no—
527C2×C4×D11C2×D411yescharacteristic
528C2×C4×D11C2×D411yescharacteristic
529C2×C4×D11C2411yescharacteristic
530C2×Dic22—21no—
531C2×Dic22—21no—
532C2×Dic22—21no—
533C2×Dic22—21no—
534C2×Dic22—21no—
535C2×Dic22—21no—
536C2×Dic22—82no—
537C2×Dic22C2×D411yescharacteristic
538C2×Dic22C2×D411yescharacteristic
539C2×Dic22C2×D411yescharacteristic
540C2×Dic22C2411yescharacteristic
541C2×Dic22C2411yescharacteristic
542C11×SD16—22no—
543C11×SD16—22no—
544C11×D8—22no—
545C2×C8×C11C2411yescharacteristic
546C2×C8×C11C2411yescharacteristic
547C2×C8×C11C2411yescharacteristic
548C2×C8×C11C2411yescharacteristic
549C11×C4⋊C4—21no—
550C11×C4⋊C4—21no—
551C11×C4⋊C4—21no—
552C11×C4⋊C4—21no—
553C11×C4⋊C4—21no—
554C11×C4⋊C4—21no—
555C11×C4⋊C4—21no—
556C11×C4⋊C4—21no—
557C11×C4⋊C4—21no—
558C11×C4⋊C4C2×D411yescharacteristic
559C11×C4⋊C4C2×D411yescharacteristic
560C11×C4⋊C4C2×D411yescharacteristic
561C11×C4⋊C4C2411yescharacteristic
562C11×C4⋊C4C2411yescharacteristic
563C11×C4⋊C4C2411yescharacteristic
564C11×C4⋊C4C2411yescharacteristic
565C11×C22⋊C4—21no—
566C11×C22⋊C4—21no—
567C11×C22⋊C4—21no—
568C11×C22⋊C4—21no—
569C11×C22⋊C4—21no—
570C11×C22⋊C4—21no—
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C42×C11—21no—
574C42×C11—21no—
575C42×C11C2411yescharacteristic
576C42×C11C2411yescharacteristic
577C42×C11C2411yescharacteristic
578C22⋊Dic11—21no—
579C22⋊Dic11—21no—
580C22⋊Dic11—21no—
581C22⋊Dic11—21no—
582C22⋊Dic11—21no—
583C22⋊Dic11—21no—
584#4325—22no—
585#4325—22no—
586#4324—22no—
587#4324—22no—
588#4323—22no—
589#4323—22no—
590(C2×D11)⋊C4—21no—
591(C2×D11)⋊C4—21no—
592(C2×D11)⋊C4—21no—
593(C2×D11)⋊C4—21no—
594(C2×D11)⋊C4—21no—
595(C2×D11)⋊C4—21no—
596(C2×D11)⋊C4—21no—
597(C2×D11)⋊C4—21no—
598(C2×D11)⋊C4—21no—
599(C2×D11)⋊C4—21no—
600(C2×D11)⋊C4—21no—
601(C2×D11)⋊C4—21no—
602(C2×D11)⋊C4—21no—
603(C2×D11)⋊C4—21no—
604(C2×D11)⋊C4—21no—
605(C2×D11)⋊C4—21no—
606(C2×D11)⋊C4C2×D411yescharacteristic
607(C2×D11)⋊C4C2×D411yescharacteristic
608(C2×D11)⋊C4C2×D411yescharacteristic
609(C2×D11)⋊C4C2×D411yescharacteristic
610C4⋊Dic11—21no—
611C4⋊Dic11—21no—
612C4⋊Dic11—21no—
613C4⋊Dic11—21no—
614C4⋊Dic11—21no—
615C4⋊Dic11—21no—
616C4⋊Dic11—21no—
617C4⋊Dic11C2×D411yescharacteristic
618C4⋊Dic11C2×D411yescharacteristic
619C4⋊Dic11C2×D411yescharacteristic
620C4⋊Dic11C2411yescharacteristic
621C4⋊Dic11C2411yescharacteristic
622C4⋊Dic11C2411yescharacteristic
623C4⋊Dic11C2411yescharacteristic
624Dic11⋊C4—21no—
625Dic11⋊C4—21no—
626Dic11⋊C4—21no—
627Dic11⋊C4—21no—
628Dic11⋊C4—21no—
629Dic11⋊C4—21no—
630Dic11⋊C4—21no—
631Dic11⋊C4—21no—
632Dic11⋊C4—21no—
633Dic11⋊C4—21no—
634Dic11⋊C4—21no—
635Dic11⋊C4—21no—
636Dic11⋊C4—21no—
637Dic11⋊C4—21no—
638Dic11⋊C4—21no—
639Dic11⋊C4—21no—
640Dic11⋊C4—21no—
641Dic11⋊C4—21no—
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4C2×D411yescharacteristic
647Dic11⋊C4C2×D411yescharacteristic
648Dic11⋊C4C2×D411yescharacteristic
649Dic11⋊C4C2×D411yescharacteristic
650Dic11⋊C4C2×D411yescharacteristic
651Dic11⋊C4C2×D411yescharacteristic
652Dic11⋊C4C2×D411yescharacteristic
653Dic11⋊C4C2×D411yescharacteristic
654Dic11⋊C4C2×D411yescharacteristic
655Dic11⋊C4C2×D411yescharacteristic
656C4×Dic11—21no—
657C4×Dic11—21no—
658C4×Dic11—21no—
659C4×Dic11—21no—
660C4×Dic11—21no—
661C4×Dic11—21no—
662C4×Dic11—21no—
663C4×Dic11—21no—
664C4×Dic11C2×D411yescharacteristic
665C4×Dic11C2×D411yescharacteristic
666C4×Dic11C2411yescharacteristic
667C4×Dic11C2411yescharacteristic
668C4×Dic11C2411yescharacteristic
669C2×C11⋊C8C2411yescharacteristic
670C2×C11⋊C8C2411yescharacteristic
671C2×C11⋊C8C2411yescharacteristic
672C2×C11⋊C8C2411yescharacteristic
673D88—22no—
674#4314—22no—
675#4314—22no—
676#4313—22no—
677#4313—22no—
678C8×D11—22no—
679C8×D11—22no—
680#3507—111no—
681#3501—111no—
682#3376—111no—
683#3376—111no—
684#3376—111no—
685#3376D1111yescharacteristic, complemented
686#3373—111no—
687#3373—111no—
688#3372—111no—
689#3372—111no—
690#3361—111no—
691#3361—111no—
692#3360—111no—
693#3360—111no—
694#3360—111no—
695#3360—111no—
696#3359—111no—
697#3359—111no—
698#3137—111no—
699#3137—111no—
700#3131—111no—
701#3084—111no—
702#3084—111no—
703#3078—111no—
704#3042—111no—
705#3042—111no—
706#3036—111no—
707#2960—111no—
708#2946—111no—
709#2946—111no—
710C2×C4×SD16—111no—
711C23×C11—21no—
712C23×C11—21no—
713C22×D11—21no—
714C22×D11—24no—
715C22×D11—21no—
716C22×D11—81no—
717C22×D11—81no—
718C22×D11C22×D411yescharacteristic
719Q8×C11—21no—
720Q8×C11—21no—
721Q8×C11—21no—
722Q8×C11—21no—
723Q8×C11—41no—
724Q8×C11—81no—
725D4×C11—21no—
726D4×C11—21no—
727D4×C11—21no—
728D4×C11C2×#4112yes—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—81no—
736C2×C4×C11—81no—
737C2×C4×C11—81no—
738C2×C4×C11—81no—
739C2×C4×C11C22×D411yescharacteristic
740C2×C4×C11C22×D411yescharacteristic
741C2×C4×C11C22×D411yescharacteristic
742C2×C4×C11C22×D411yescharacteristic
743C2×C4×C11C22×D411yescharacteristic
744C2×C4×C11C22×D411yescharacteristic
745C2×C4×C11C2511yescharacteristic
746C22⋊D11—24no—
747C22⋊D11—42no—
748C22⋊D11—42no—
749C22⋊D11—81no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—42no—
757C2×Dic11—42no—
758C2×Dic11—81no—
759C2×Dic11—81no—
760C2×Dic11—81no—
761C2×Dic11C22×D411yescharacteristic
762C2×Dic11C22×D411yescharacteristic
763C2×Dic11C22×D411yescharacteristic
764C2×Dic11C22×D411yescharacteristic
765C2×Dic11C22×D411yescharacteristic
766C2×Dic11C22×D411yescharacteristic
767C2×Dic11C22×D411yescharacteristic
768D44—21no—
769D44—21no—
770D44—21no—
771D44—42no—
772D44C2×#4112yes—
773C4×D11—22no—
774C4×D11—41no—
775C4×D11—42no—
776C4×D11—42no—
777C4×D11—42no—
778C4×D11—81no—
779C4×D11—81no—
780C4×D11—81no—
781C4×D11—81no—
782C4×D11—81no—
783C4×D11—81no—
784C4×D11—81no—
785C4×D11—81no—
786C4×D11—81no—
787C4×D11C2×#4112yes—
788C4×D112−1+412yes—
789Dic22—22no—
790Dic22—22no—
791Dic22—21no—
792Dic22—21no—
793Dic22—21no—
794Dic22—21no—
795Dic22—41no—
796Dic22—42no—
797Dic22—42no—
798Dic22—81no—
799Dic22—81no—
800Dic22—81no—
801Dic22—81no—
802C8×C11—21no—
803C8×C11—21no—
804C8×C11—21no—
805C8×C11—21no—
806C11⋊C8—21no—
807C11⋊C8—21no—
808C11⋊C8—21no—
809C11⋊C8—21no—
810C2×AGL(1,ℤ/8)—111no—
811C2×AGL(1,ℤ/8)—111no—
812C22×SD16—111no—
813#559—111no—
814#559—111no—
815#557—111no—
816#557—111no—
817#556—111no—
818#556—111no—
819#556—111no—
820#556—221no—
821#556C2×D1111yescharacteristic, complemented
822#554—111no—
823#554—111no—
824#554—111no—
825#554—111no—
826#554—111no—
827#554—221no—
828#554—221no—
829#554—221no—
830#554—221no—
831#554C2×D1111yescharacteristic
832#552—221no—
833#552—221no—
834D4×Q8—111no—
835D4×Q8—111no—
836D4×Q8—221no—
837#544—111no—
838#544—111no—
839#543—221no—
840#543—221no—
841#539—221no—
842#539—221no—
843#536—111no—
844#536—111no—
845#533—111no—
846#533—111no—
847#532—111no—
848#529—221no—
849#529—221no—
850C2×C22⋊Q8—221no—
851C2×C22⋊Q8—221no—
852#520—111no—
853#520—111no—
854#518—111no—
855#518—111no—
856C2×C4×Q8—111no—
857C2×C4×D4—111no—
858#491—111no—
859#491—111no—
860#491—111no—
861#491C2×D1111yescharacteristic, complemented
862#489—111no—
863#489—111no—
864#489—111no—
865#489C2×D1111yescharacteristic, complemented
866#488—111no—
867#488—111no—
868#488—111no—
869#488—111no—
870#488—111no—
871#488—111no—
872#488—111no—
873#488C2×D1111yescharacteristic, complemented
874#487—111no—
875#487—111no—
876#487—111no—
877#487—111no—
878#487—111no—
879#487—111no—
880#486—111no—
881#486—111no—
882#479—111no—
883#479—111no—
884#479—111no—
885#479—111no—
886#479—111no—
887#479—111no—
888#479—111no—
889#479C2×D1111yescharacteristic, complemented
890#478—111no—
891#478—111no—
892#478—111no—
893#478C2×D1111yescharacteristic, complemented
894#477—111no—
895#477—111no—
896#476—111no—
897#476—111no—
898#476—111no—
899#476—111no—
900#475—111no—
901#475—111no—
902#475—111no—
903#475—111no—
904#475—111no—
905#475C2×D1111yescharacteristic, complemented
906#463—111no—
907#463—111no—
908#463—111no—
909#463—111no—
910#463—111no—
911#463—111no—
912#463—111no—
913#463—111no—
914#463—111no—
915#463—111no—
916#463C2×D1111yescharacteristic
917#463C2×D1111yescharacteristic
918#461—111no—
919#461—111no—
920#461—111no—
921#461—111no—
922#461—111no—
923#461—111no—
924#461—111no—
925#461—111no—
926#461—111no—
927#461C2×D1111yescharacteristic
928#459—111no—
929#459—111no—
930#446—111no—
931#446—111no—
932#446—111no—
933#446C2×D1111yescharacteristic, complemented
934C8×Q8—111no—
935C8×Q8—111no—
936C8×Q8—111no—
937C8×Q8—111no—
938#442—111no—
939#442—111no—
940#442—111no—
941#442C2×D1111yescharacteristic
942#440—111no—
943#440—111no—
944#440—111no—
945#440C2×D1111yescharacteristic
946C4×SD16—111no—
947C4×SD16—111no—
948C4×SD16—111no—
949C4×SD16—111no—
950C4×SD16—111no—
951C4×SD16—111no—
952C4×SD16—111no—
953C4×SD16—111no—
954C4×SD16—111no—
955C4×SD16—111no—
956C4×SD16—111no—
957C4×SD16C2×D1111yescharacteristic
958C4×D8—111no—
959C4×D8—111no—
960C4×D8—111no—
961C4×D8—111no—
962#428—111no—
963#428—111no—
964C2×#106—111no—
965#424—111no—
966#424—111no—
967#423—111no—
968#419—111no—
969#419—111no—
970#417—111no—
971#417—111no—
972#416—111no—
973#416—111no—
974#416—111no—
975#416—111no—
976C2×#103—111no—
977C2×#102—111no—
978#405—111no—
979#405—111no—
980C2×C4×C8—111no—
981C22×C11—22no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11C23×D411yescharacteristic
988C2×D11—21no—
989C2×D11—21no—
990C2×D11—22no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—84no—
997C2×D11#54812yes—
998C4×C11—21no—
999C4×C11—21no—
1000C4×C11—21no—
1001C4×C11—21no—
1002C4×C11—21no—
1003C4×C11—21no—
1004C4×C11—41no—
1005C4×C11—41no—
1006C4×C11—41no—
1007C4×C11—41no—
1008C4×C11—41no—
1009C4×C11—41no—
1010C4×C11C22×#4111yescharacteristic
1011C4×C11C2×2−1+411yescharacteristic
1012Dic11—21no—
1013Dic11—21no—
1014Dic11—21no—
1015Dic11—21no—
1016Dic11—21no—
1017Dic11—41no—
1018Dic11—41no—
1019Dic11—41no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11#54812yes—
1024Dic11#57712yes—
1025C2×#41—111no—
1026C2×#41—111no—
1027C22×Q8—111no—
1028C22×Q8—221no—
1029C22×Q8—221no—
1030C22×D4—111no—
1031C23×C4—221no—
1032AGL(1,ℤ/8)—224no—
1033AGL(1,ℤ/8)—224no—
1034C2×SD16—111no—
1035C2×SD16—111no—
1036C2×SD16—111no—
1037C2×SD16—111no—
1038C2×SD16—111no—
1039C2×SD16—111no—
1040C2×SD16—224no—
1041C2×SD16C22×D1111yescharacteristic
1042C2×SD16C22×D1111yescharacteristic
1043C2×D8—111no—
1044C2×D8—111no—
1045C2×D8—111no—
1046C2×D8C22×D1111yescharacteristic
1047C2×M16—111no—
1048C2×M16—111no—
1049C22×C8—111no—
1050C22×C8—111no—
1051C4⋊Q8—111no—
1052C4⋊Q8—111no—
1053C4⋊Q8—111no—
1054C4⋊Q8—111no—
1055C4⋊Q8—111no—
1056C4⋊Q8—111no—
1057C4⋊Q8—111no—
1058C4⋊Q8—111no—
1059C4⋊Q8—111no—
1060C4⋊Q8—111no—
1061C4⋊Q8—111no—
1062C4⋊Q8—221no—
1063C4⋊Q8—221no—
1064C4⋊Q8C22×D1111yescharacteristic
1065C4⋊Q8C22×D1111yescharacteristic
1066#127—111no—
1067#126—21no—
1068#126—21no—
1069#126—221no—
1070#126—221no—
1071#126—221no—
1072#126—221no—
1073#126—221no—
1074#126—221no—
1075#125—111no—
1076#125—111no—
1077#125—111no—
1078#125—111no—
1079#125—111no—
1080#125—111no—
1081#125—221no—
1082#125—221no—
1083#125—221no—
1084#125—221no—
1085#125—221no—
1086#125—221no—
1087#125—221no—
1088#125—221no—
1089#125C22×D1111yescharacteristic
1090#125C22×D1111yescharacteristic
1091#124—111no—
1092#124—111no—
1093#124—111no—
1094#124—111no—
1095#124—221no—
1096#124—221no—
1097#124C22×D1111yescharacteristic
1098#124C22×D1111yescharacteristic
1099#123—221no—
1100#123—221no—
1101#123—221no—
1102#123—221no—
1103#123—221no—
1104#123—221no—
1105#123—221no—
1106#123—221no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—111no—
1112C22⋊Q8—111no—
1113C22⋊Q8—111no—
1114C22⋊Q8—111no—
1115C22⋊Q8—221no—
1116C22⋊Q8—221no—
1117C22⋊Q8—221no—
1118C22⋊Q8—221no—
1119C22⋊Q8—221no—
1120C22⋊Q8—221no—
1121C22⋊Q8—221no—
1122C22⋊Q8—221no—
1123C22⋊Q8—221no—
1124C22⋊Q8—221no—
1125C22⋊Q8—221no—
1126C22⋊Q8—221no—
1127C22⋊Q8—221no—
1128C22⋊Q8—221no—
1129C22⋊Q8—221no—
1130C22⋊Q8—221no—
1131C22⋊Q8—221no—
1132C22⋊Q8—221no—
1133C22⋊Q8—221no—
1134C22⋊Q8—221no—
1135C22⋊Q8—221no—
1136C22⋊Q8—221no—
1137C22⋊Q8—221no—
1138C22⋊Q8—221no—
1139C22⋊Q8—221no—
1140C22⋊Q8—221no—
1141C22⋊Q8—221no—
1142C22⋊Q8—221no—
1143C22⋊Q8—221no—
1144C22⋊Q8—221no—
1145C22⋊Q8—221no—
1146C22⋊Q8—221no—
1147C22⋊Q8—221no—
1148C22⋊Q8—221no—
1149#121—221no—
1150#121—221no—
1151C4×Q8—111no—
1152C4×Q8—111no—
1153C4×Q8—111no—
1154C4×Q8—111no—
1155C4×Q8—111no—
1156C4×Q8—111no—
1157C4×Q8—111no—
1158C4×Q8—111no—
1159C4×Q8—111no—
1160C4×Q8—221no—
1161C4×Q8—221no—
1162C4×Q8—221no—
1163C4×Q8—221no—
1164C4×Q8—221no—
1165C4×Q8—221no—
1166C4×Q8C22×D1111yescharacteristic
1167C4×Q8C22×D1111yescharacteristic
1168C4×Q8C22×D1111yescharacteristic
1169C4×D4—111no—
1170C4×D4—111no—
1171C4×D4—111no—
1172C4×D4—111no—
1173C4×D4—111no—
1174C4×D4—111no—
1175C4×D4—111no—
1176C4×D4—111no—
1177C4×D4—111no—
1178C4×D4—111no—
1179C4×D4—111no—
1180C4×D4—111no—
1181C4×D4—221no—
1182C4×D4—221no—
1183C4×D4—221no—
1184C4×D4—221no—
1185C4×D4—221no—
1186C4×D4—221no—
1187C4×D4—221no—
1188C4×D4—221no—
1189C4×D4—221no—
1190C4×D4—221no—
1191C4×D4—221no—
1192C4×D4—221no—
1193C4×D4—221no—
1194C4×D4—221no—
1195C4×D4C22×D1111yescharacteristic
1196C4×D4C22×D1111yescharacteristic
1197C4×D4C22×D1111yescharacteristic
1198C4×D4C22×D1111yescharacteristic
1199#117—21no—
1200#117—111no—
1201#117—111no—
1202#117—111no—
1203#117—111no—
1204#117—221no—
1205#117—221no—
1206#117—221no—
1207#117—221no—
1208#117—221no—
1209C2×C4⋊C4—21no—
1210C2×C4⋊C4—111no—
1211C2×C4⋊C4—111no—
1212C2×C4⋊C4—221no—
1213C2×C4⋊C4—221no—
1214C2×C4⋊C4—221no—
1215C2×C4⋊C4—221no—
1216C2×C4⋊C4—221no—
1217C2×C4⋊C4—221no—
1218C2×C4⋊C4—221no—
1219C2×C4⋊C4—221no—
1220C2×C22⋊C4—221no—
1221C2×C22⋊C4—221no—
1222C2×C22⋊C4—221no—
1223C2×C22⋊C4—221no—
1224C2×C22⋊C4—221no—
1225C2×C42—111no—
1226C2×C42—221no—
1227#107—111no—
1228#107—111no—
1229#107—111no—
1230#107C22×D1111yescharacteristic
1231#106—111no—
1232#106—111no—
1233#106—111no—
1234#106—111no—
1235#106—111no—
1236#106—111no—
1237#106C22×D1111yescharacteristic
1238#106C22×D1111yescharacteristic
1239C4⋊C8—111no—
1240C4⋊C8—111no—
1241C4⋊C8—111no—
1242C4⋊C8—111no—
1243C4⋊C8—111no—
1244C4⋊C8—111no—
1245C4⋊C8—111no—
1246C4⋊C8—111no—
1247C4⋊C8—111no—
1248C4⋊C8C22×D1111yescharacteristic
1249C4⋊C8C22×D1111yescharacteristic
1250C4⋊C8C22×D1111yescharacteristic
1251#103—111no—
1252#103—111no—
1253#103—111no—
1254#103—111no—
1255#103—111no—
1256#103—111no—
1257#103—111no—
1258#103—111no—
1259#103—111no—
1260#103—111no—
1261#103—111no—
1262#103—111no—
1263#103—111no—
1264#103—111no—
1265#103—111no—
1266#103—111no—
1267#103—111no—
1268#103—111no—
1269#103C22×D1111yescharacteristic
1270#103C22×D1111yescharacteristic
1271#103C22×D1111yescharacteristic
1272#103C22×D1111yescharacteristic
1273#103C22×D1111yescharacteristic
1274#103C22×D1111yescharacteristic
1275#102—111no—
1276#102—111no—
1277#102—111no—
1278#102—111no—
1279#102—111no—
1280#102—111no—
1281#102—111no—
1282#102—111no—
1283#102—111no—
1284#102—111no—
1285#102—111no—
1286#102—111no—
1287#102C22×D1111yescharacteristic
1288#102C22×D1111yescharacteristic
1289#102C22×D1111yescharacteristic
1290#102C22×D1111yescharacteristic
1291#97—111no—
1292#97—111no—
1293#97C22×D1111yescharacteristic
1294#97C22×D1111yescharacteristic
1295C4×C8—111no—
1296C4×C8—111no—
1297C4×C8—111no—
1298C4×C8—111no—
1299C4×C8—111no—
1300C4×C8—111no—
1301C4×C8—111no—
1302C4×C8C22×D1111yescharacteristic
1303C2×C11—42no—
1304C2×C11—81no—
1305C2×C11C2×#54811yescharacteristic
1306C2×C11C2×#57711yescharacteristic
1307C2×C11#358411yescharacteristic
1308D11—22no—
1309D11—42no—
1310D11—81no—
1311C24—221no—
1312#41—222no—
1313#41—222no—
1314#41—222no—
1315#41—222no—
1316C2×Q8—21no—
1317C2×Q8—111no—
1318C2×Q8—111no—
1319C2×Q8—111no—
1320C2×Q8—111no—
1321C2×Q8—111no—
1322C2×Q8—221no—
1323C2×Q8—221no—
1324C2×Q8—221no—
1325C2×Q8—221no—
1326C2×Q8—221no—
1327C2×Q8—222no—
1328C2×Q8—222no—
1329C2×Q8—221no—
1330C2×Q8—882no—
1331C2×Q8—882no—
1332C2×Q8D4×D1111yescharacteristic
1333C2×Q8C23×D1111yescharacteristic
1334C2×Q8C23×D1111yescharacteristic
1335C2×D4—114no—
1336C2×D4—111no—
1337C2×D4—111no—
1338C2×D4—221no—
1339C2×D4—222no—
1340C2×D4—221no—
1341C2×D4—221no—
1342C2×D4—221no—
1343C2×D4—221no—
1344C2×D4C23×D1111yescharacteristic
1345C2×D4C23×D1111yescharacteristic
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—221no—
1354C22×C4—221no—
1355C22×C4—221no—
1356C22×C4—221no—
1357C22×C4—221no—
1358C22×C4—221no—
1359C22×C4—221no—
1360C22×C4—221no—
1361C22×C4—221no—
1362C22×C4—221no—
1363C22×C4—221no—
1364C22×C4—221no—
1365C22×C4—221no—
1366C22×C4—221no—
1367C22×C4—221no—
1368C22×C4—221no—
1369C22×C4—221no—
1370C22×C4—882no—
1371SD16—22no—
1372SD16—22no—
1373SD16—222no—
1374SD16—222no—
1375SD16—222no—
1376SD16—222no—
1377SD16—222no—
1378SD16—222no—
1379D8—22no—
1380D8—222no—
1381D8—222no—
1382D8—222no—
1383M16—222no—
1384M16—222no—
1385C2×C8—111no—
1386C2×C8—111no—
1387C2×C8—111no—
1388C2×C8—111no—
1389C2×C8—222no—
1390C2×C8—222no—
1391C2×C8C23×D1111yescharacteristic
1392C2×C8C23×D1111yescharacteristic
1393C2×C8C23×D1111yescharacteristic
1394C2×C8C23×D1111yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—111no—
1405C4⋊C4—111no—
1406C4⋊C4—111no—
1407C4⋊C4—111no—
1408C4⋊C4—111no—
1409C4⋊C4—111no—
1410C4⋊C4—111no—
1411C4⋊C4—111no—
1412C4⋊C4—111no—
1413C4⋊C4—111no—
1414C4⋊C4—111no—
1415C4⋊C4—111no—
1416C4⋊C4—111no—
1417C4⋊C4—111no—
1418C4⋊C4—111no—
1419C4⋊C4—111no—
1420C4⋊C4—111no—
1421C4⋊C4—221no—
1422C4⋊C4—221no—
1423C4⋊C4—221no—
1424C4⋊C4—221no—
1425C4⋊C4—221no—
1426C4⋊C4—221no—
1427C4⋊C4—221no—
1428C4⋊C4—221no—
1429C4⋊C4—221no—
1430C4⋊C4—221no—
1431C4⋊C4—221no—
1432C4⋊C4—221no—
1433C4⋊C4—221no—
1434C4⋊C4—221no—
1435C4⋊C4—221no—
1436C4⋊C4—221no—
1437C4⋊C4—221no—
1438C4⋊C4—221no—
1439C4⋊C4—221no—
1440C4⋊C4—221no—
1441C4⋊C4—221no—
1442C4⋊C4—221no—
1443C4⋊C4—221no—
1444C4⋊C4—221no—
1445C4⋊C4—221no—
1446C4⋊C4—221no—
1447C4⋊C4—221no—
1448C4⋊C4—221no—
1449C4⋊C4—221no—
1450C4⋊C4D4×D1111yescharacteristic
1451C4⋊C4D4×D1111yescharacteristic
1452C4⋊C4D4×D1111yescharacteristic
1453C4⋊C4C23×D1111yescharacteristic
1454C4⋊C4C23×D1111yescharacteristic
1455C4⋊C4C23×D1111yescharacteristic
1456C4⋊C4C23×D1111yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—111no—
1466C22⋊C4—111no—
1467C22⋊C4—111no—
1468C22⋊C4—111no—
1469C22⋊C4—221no—
1470C22⋊C4—221no—
1471C22⋊C4—221no—
1472C22⋊C4—221no—
1473C22⋊C4—221no—
1474C22⋊C4—221no—
1475C22⋊C4—221no—
1476C22⋊C4—221no—
1477C22⋊C4—221no—
1478C22⋊C4—221no—
1479C22⋊C4—221no—
1480C22⋊C4—221no—
1481C22⋊C4—221no—
1482C22⋊C4—221no—
1483C22⋊C4—221no—
1484C22⋊C4—221no—
1485C22⋊C4—221no—
1486C22⋊C4—221no—
1487C22⋊C4—221no—
1488C22⋊C4—221no—
1489C22⋊C4—221no—
1490C22⋊C4—221no—
1491C42—21no—
1492C42—21no—
1493C42—111no—
1494C42—111no—
1495C42—111no—
1496C42—111no—
1497C42—111no—
1498C42—221no—
1499C42—221no—
1500C42—221no—
1501C42—221no—
1502C42—221no—
1503C42—221no—
1504C42—221no—
1505C42—221no—
1506C42C23×D1111yescharacteristic
1507C42C23×D1111yescharacteristic
1508C42C23×D1111yescharacteristic
1509C11#6132611yescharacteristic, complemented, Sylow
1510C23—21no—
1511C23—21no—
1512C23—111no—
1513C23—224no—
1514C23—221no—
1515C23—221no—
1516C23—881no—
1517C23—881no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—41no—
1523Q8—81no—
1524Q8—222no—
1525Q8—222no—
1526Q8—221no—
1527Q8—221no—
1528Q8—221no—
1529Q8—221no—
1530Q8—441no—
1531Q8—442no—
1532Q8—442no—
1533Q8—881no—
1534Q8—881no—
1535Q8—881no—
1536Q8—881no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—112no—
1541D4—224no—
1542D4—221no—
1543D4—221no—
1544D4—221no—
1545D4—442no—
1546D4—442no—
1547D4—442no—
1548D4—881no—
1549D4#41×D1112yes—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—81no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—111no—
1561C2×C4—111no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—111no—
1565C2×C4—111no—
1566C2×C4—111no—
1567C2×C4—111no—
1568C2×C4—111no—
1569C2×C4—222no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—441no—
1577C2×C4—442no—
1578C2×C4—442no—
1579C2×C4—442no—
1580C2×C4—442no—
1581C2×C4—442no—
1582C2×C4—881no—
1583C2×C4—881no—
1584C2×C4—881no—
1585C2×C4—881no—
1586C2×C4—881no—
1587C2×C4—881no—
1588C2×C4—881no—
1589C2×C4—881no—
1590C2×C4—881no—
1591C2×C4—881no—
1592C2×C4—881no—
1593C2×C4—881no—
1594C2×C4C2×D4×D1111yescharacteristic
1595C2×C4C2×D4×D1111yescharacteristic
1596C2×C4C2×D4×D1111yescharacteristic
1597C2×C4C2×D4×D1111yescharacteristic
1598C2×C4C2×D4×D1111yescharacteristic
1599C2×C4C2×D4×D1111yescharacteristic
1600C2×C4C24×D1111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—221no—
1606C8—221no—
1607C8—221no—
1608C8—221no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—112no—
1616C22—221no—
1617C22—221no—
1618C22—222no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—884no—
1625C22C22×D4×D1111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—112no—
1639C4—112no—
1640C4—221no—
1641C4—221no—
1642C4—221no—
1643C4—221no—
1644C4—221no—
1645C4—441no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4C2×#41×D1111yescharacteristic
1652C4D11×2−1+411yescharacteristic
1653C2—42no—
1654C2—81no—
1655C2—222no—
1656C2—442no—
1657C2—881no—
1658C2D11×#54811yescharacteristic
1659C2D11×#57711yescharacteristic
1660C2#1308338911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3376C2
socleC22×C11C23×D4
prime radical#13078078C2
hypercenter#3376D11
hypocenterC11#61326
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #13082477C2semidirect
2. #13082415C2semidirect
3. #13081449C2semidirect
4. #13081445C2semidirect
5. #13081439C2semidirect
6. #13081409C2semidirect
7. #13081405C2semidirect
8. #13081398C2semidirect
9. #13081394C2semidirect
10. #13081279C2semidirect
11. #13081271C2semidirect
12. #13081268C2semidirect
13. #13081265C2semidirect
14. #13081261C2semidirect
15. #13081260C2semidirect
16. #13081257C2semidirect
17. #13081253C2semidirect
18. #13078982C2semidirect
19. #13078978C2semidirect
20. #13078937C2semidirect
21. #13078479C2semidirect
22. #13078475C2semidirect
23. #13078419C2semidirect
24. #13078126C2semidirect
25. #13078123C2semidirect
27. #13077547C2semidirect
28. #13077447C2semidirect
29. #13077445C2semidirect
30. C4×SD16×D11C2semidirect
31. C11×#3376C2semidirect
32. C11×#556C22semidirect
40. #10623252C22semidirect
49. #10623212C22semidirect
51. #10623202C22semidirect
61. #10623115C22semidirect
66. #10623099C22semidirect
67. #10623098C22semidirect
68. #10623090C22semidirect
80. C11×#491C22semidirect
81. C11×#489C22semidirect
82. C11×#488C22semidirect
83. C11×#479C22semidirect
84. C11×#478C22semidirect
85. C11×#475C22semidirect
89. C11×#446C22semidirect
102. #10622706C22semidirect
103. #10622697C22semidirect
105. #10622694C22semidirect
106. #10622681C22semidirect
107. #10622681C22semidirect
108. #10622676C22semidirect
109. #10622676C22semidirect
112. #10622669C22semidirect
113. #10622669C22semidirect
116. Q8×C11⋊C8C22semidirect
117. #10622635C22semidirect
118. #10622635C22semidirect
126. #10622621C22semidirect
128. #10622490C22semidirect
129. #10622488C22semidirect
131. #10622484C22semidirect
132. #10622483C22semidirect
135. #10622467C22semidirect
136. #10622467C22semidirect
139. #10622464C22semidirect
140. #10622460C22semidirect
147. #10622443C22semidirect
148. #10622443C22semidirect
149. #10622443C22semidirect
150. #10622442C22semidirect
162. #10622413C22semidirect
163. #10622410C22semidirect
164. #10622410C22semidirect
165. #10622409C22semidirect
166. #10622408C22semidirect
167. #10622407C22semidirect
168. #10622405C22semidirect
169. #10622405C22semidirect
170. #10622405C22semidirect
171. #10622405C22semidirect
172. #10622404C22semidirect
173. #10622404C22semidirect
183. #10622381C22semidirect
184. #10622378C22semidirect
185. #10622376C22semidirect
186. #10622374C22semidirect
187. #10622373C22semidirect
188. #10622373C22semidirect
191. #10622327C22semidirect
196. #10622316C22semidirect
197. #10622314C22semidirect
198. #10622314C22semidirect
199. #10622310C22semidirect
202. #10622292C22semidirect
685. #3376D11semidirect
821. #556C2×D11semidirect
861. #491C2×D11semidirect
865. #489C2×D11semidirect
873. #488C2×D11semidirect
889. #479C2×D11semidirect
893. #478C2×D11semidirect
905. #475C2×D11semidirect
933. #446C2×D11semidirect
1509. C11#61326semidirect

Maximal subgroups

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

subgroupindex
#130824772
#130824152
#130814492
#130814452
#130814392
#130814092
#130814052
#130813982
#130813942
#130812792
#130812712
#130812682
#130812652
#130812612
#130812602
#130812572
#130812532
#130789822
#130789782
#130789372
#130784792
#130784752
#130784192
#130781262
#130781232
#130780782
#130775472
#130774472
#130774452
C4×SD16×D112
C11×#33762
#6132611