Finite Group Databasebeta

← #15649426

Subgroups — #15649426

Order 2816.

1804 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082582C211yesmaximal, characteristic, complemented
2#13082222C211yesmaximal, characteristic, complemented
3#13081494C211yesmaximal, characteristic, complemented
4#13081478C211yesmaximal, characteristic, complemented
5#13081307C211yesmaximal, characteristic, complemented
6#13081271C211yesmaximal, characteristic, complemented
7#13081021C211yesmaximal, characteristic, complemented
8#13081015C211yesmaximal, characteristic, complemented
9#13081005C211yesmaximal, characteristic, complemented
10#13081001C211yesmaximal, characteristic, complemented
11#13080992C211yesmaximal, characteristic, complemented
12#13080968C211yesmaximal, characteristic, complemented
13#13080473C211yesmaximal, characteristic, complemented
14#13080472C211yesmaximal, characteristic, complemented
15#13080458C211yesmaximal, characteristic, complemented
16#13080457C211yesmaximal, characteristic, complemented
17#13080435C211yesmaximal, characteristic, complemented
18#13080424C211yesmaximal, characteristic, complemented
19#13079966C211yesmaximal, characteristic, complemented
20#13079939C211yesmaximal, characteristic, complemented
21#13079788C211yesmaximal, characteristic, complemented
22#13079780C211yesmaximal, characteristic, complemented
23#13079751C211yesmaximal, characteristic, complemented
24#13078662C211yesmaximal, characteristic, complemented
25#13078659C211yesmaximal, characteristic, complemented
26#13078633C211yesmaximal, characteristic, complemented
27#13078403C211yesmaximal, characteristic, complemented
28C2×#10622460C211yesmaximal, characteristic, complemented
29D11×#478C211yesmaximal, characteristic, complemented
30#13077725C211yesmaximal, characteristic, complemented
31C11×#3250C211yesmaximal, characteristic, complemented
32C11×#529C2211yescharacteristic
33C11×#529C2211yescharacteristic, complemented
34#10623240—21no—
35#10623238—21no—
36#10623236—21no—
37#10623232—21no—
38#10623226C2211yescharacteristic
39#10623221C2211yescharacteristic
40#10623219C2211yescharacteristic, complemented
41D11×#125C2211yescharacteristic, complemented
42#10623212C2211yescharacteristic
43#10623211C2211yescharacteristic, complemented
44#10623211C2211yescharacteristic, complemented
45#10623207C2211yescharacteristic
46#10623189—21no—
47#10623186—21no—
48#10623185—21no—
49#10623181—21no—
50#10623173C2211yescharacteristic, complemented
51#10623166C2211yescharacteristic
52#10623166C2211yescharacteristic
53#10623161C2211yescharacteristic
54#10623149C2211yescharacteristic
55#10623149C2211yescharacteristic, complemented
56#10623142C2211yescharacteristic
57#10623140C2211yescharacteristic
58#10623112C2211yescharacteristic, complemented
59#10623111C2211yescharacteristic
60C4×#4343C2211yescharacteristic
61#10623100C2211yescharacteristic, complemented
62#10623095—21no—
63#10623089C2211yescharacteristic, complemented
64#10623079C2211yescharacteristic
65#10623078—21no—
66#10623077—21no—
67C4×D4×D11—21no—
68C4×D4×D11C2211yescharacteristic
69#10623070C2211yescharacteristic, complemented
70#10623062—21no—
71#10623060—21no—
72#10623059—21no—
73#10623055—21no—
74C4×#4339C2211yescharacteristic
75C2×C4×D44C2211yescharacteristic
76C2×#66923C2211yescharacteristic, complemented
77C11×#479C2211yescharacteristic, complemented
78C11×#479C2211yescharacteristic, complemented
79C11×#478C2211yescharacteristic, complemented
80C11×#478C2211yescharacteristic, complemented
81C11×#467C2211yescharacteristic, complemented
82C11×#466C2211yescharacteristic
83C11×#465C2211yescharacteristic
84C11×#465C2211yescharacteristic, complemented
85C11×#464C2211yescharacteristic, complemented
86C11×#464C2211yescharacteristic, complemented
87C11×#463C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C2×C11×C4⋊C8C2211yescharacteristic, complemented
90#10622801C2211yescharacteristic, complemented
91#10622800C2211yescharacteristic
92#10622798C2211yescharacteristic, complemented
93Q16×Dic11C2211yescharacteristic, complemented
94#10622785C2211yescharacteristic
95#10622784C2211yescharacteristic, complemented
96#10622784C2211yescharacteristic, complemented
97#10622782C2211yescharacteristic
98#10622778C2211yescharacteristic, complemented
99#10622776C2211yescharacteristic
100SD16×Dic11C2211yescharacteristic, complemented
101SD16×Dic11C2211yescharacteristic, complemented
102#10622770C2211yescharacteristic, complemented
103#10622769C2211yescharacteristic
104#10622763C2211yescharacteristic
105D8×Dic11C2211yescharacteristic, complemented
106C2×#66885C2211yescharacteristic
107C2×#66885C2211yescharacteristic
108C8×C22⋊D11C2211yescharacteristic
109C8×C22⋊D11C2211yescharacteristic
110C8×C22⋊D11C2211yescharacteristic, complemented
111C8×C22⋊D11C2211yescharacteristic, complemented
112C2×#66882C2211yescharacteristic, complemented
113C2×#66881C2211yescharacteristic, complemented
114#10622679C2211yescharacteristic
115#10622679C2211yescharacteristic, complemented
116#10622677C2211yescharacteristic, complemented
117#10622677C2211yescharacteristic, complemented
118#10622670C2211yescharacteristic
119#10622670C2211yescharacteristic, complemented
120#10622669C2211yescharacteristic, complemented
121#10622669C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic
123#10622657C2211yescharacteristic, complemented
124#10622657C2211yescharacteristic, complemented
125#10622656C2211yescharacteristic, complemented
126#10622649C2211yescharacteristic
127#10622647C2211yescharacteristic
128#10622647C2211yescharacteristic, complemented
129#10622646C2211yescharacteristic
130C4×#4325C2211yescharacteristic
131C4×#4325C2211yescharacteristic, complemented
132#10622635C2211yescharacteristic, complemented
133#10622635C2211yescharacteristic, complemented
134C4×#4323C2211yescharacteristic
135C4×#4323C2211yescharacteristic, complemented
136#10622622C2211yescharacteristic, complemented
137#10622622C2211yescharacteristic, complemented
138#10622538C2211yescharacteristic, complemented
139#10622504C2211yescharacteristic
140#10622503C2211yescharacteristic
141#10622498C2211yescharacteristic, complemented
142#10622495C2211yescharacteristic
143#10622493C2211yescharacteristic, complemented
144D11×#107C2211yescharacteristic, complemented
145#10622491C2211yescharacteristic, complemented
146#10622487C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic
148#10622483C2211yescharacteristic
149#10622479C2211yescharacteristic, complemented
150#10622476C2211yescharacteristic
151#10622473C2211yescharacteristic, complemented
152D11×#106C2211yescharacteristic, complemented
153#10622471C2211yescharacteristic, complemented
154#10622468C2211yescharacteristic, complemented
155#10622460C2211yescharacteristic
156#10622460C2211yescharacteristic
157#10622460C2211yescharacteristic
158#10622460C2211yescharacteristic
159#10622460C2211yescharacteristic, complemented
160#10622460C2211yescharacteristic, complemented
161#10622460C2211yescharacteristic, complemented
162#10622460C2211yescharacteristic, complemented
163#10622447C2211yescharacteristic, complemented
164#10622447C2211yescharacteristic, complemented
165#10622446C2211yescharacteristic, complemented
166#10622446C2211yescharacteristic, complemented
167D11×C4⋊C8C2211yescharacteristic, complemented
168D11×C4⋊C8C2211yescharacteristic, complemented
169#10622443C2211yescharacteristic, complemented
170#10622443C2211yescharacteristic, complemented
171#10622428C2211yescharacteristic, complemented
172#10622422C2211yescharacteristic, complemented
173#10622422C2211yescharacteristic, complemented
174#10622420C2211yescharacteristic
175#10622420C2211yescharacteristic, complemented
176#10622418C2211yescharacteristic, complemented
177#10622417C2211yescharacteristic
178#10622417C2211yescharacteristic
179#10622413C2211yescharacteristic, complemented
180#10622413C2211yescharacteristic, complemented
181#10622412C2211yescharacteristic, complemented
182#10622407C2211yescharacteristic, complemented
183#10622407C2211yescharacteristic, complemented
184#10622404C2211yescharacteristic, complemented
185#10622401C2211yescharacteristic
186#10622401C2211yescharacteristic
187#10622397C2211yescharacteristic, complemented
188#10622397C2211yescharacteristic, complemented
189#10622392C2211yescharacteristic, complemented
190#10622390C2211yescharacteristic, complemented
191#10622388C2211yescharacteristic
192#10622388C2211yescharacteristic, complemented
193D11×#102C2211yescharacteristic
194D11×#102C2211yescharacteristic
195#10622379C2211yescharacteristic, complemented
196#10622379C2211yescharacteristic, complemented
197#10622376C2211yescharacteristic, complemented
198#10622374C2211yescharacteristic, complemented
199#10622373C2211yescharacteristic
200#10622373C2211yescharacteristic
201#10622369C2211yescharacteristic
202#10622369C2211yescharacteristic
203C2×#4343C2311yescharacteristic
204C2×#4341—21no—
205C2×D4×D11—21no—
206C2×D4×D11C2311yescharacteristic
207C2×#4339—21no—
208C2×#4339D411yescharacteristic
209C22×D44C2311yescharacteristic
210C22×C4×D11—21no—
211C22×C4×D11—21no—
212C2×C11×Q16C2311yescharacteristic
213C2×C11×SD16C2311yescharacteristic
214C2×C11×SD16C2311yescharacteristic
215C2×C11×D8C2311yescharacteristic
216C22×C8×C11C2311yescharacteristic
217C22×C8×C11C2311yescharacteristic
218C11×#126—21no—
219C11×#126—21no—
220C11×#125C2311yescharacteristic
221C11×#125C2311yescharacteristic
222C11×#124C2311yescharacteristic
223C11×#124C2311yescharacteristic
224C11×#123—21no—
225C11×#123—21no—
226C11×C22⋊Q8C2311yescharacteristic
227C11×C22⋊Q8C2311yescharacteristic
228C11×#121C2311yescharacteristic
229C11×#121C2311yescharacteristic
230C4×Q8×C11C2311yescharacteristic
231C4×Q8×C11C2311yescharacteristic
232C4×D4×C11—21no—
233C4×D4×C11—21no—
234C4×D4×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C11×#117—21no—
237C11×#117—21no—
238C2×C42×C11C2311yescharacteristic
239#67000C2311yescharacteristic
240#66999C2311yescharacteristic
241#66999C2311yescharacteristic
242#66999C2311yescharacteristic
243Q8×Dic11C2311yescharacteristic
244Q8×Dic11C2311yescharacteristic
245Q8×Dic11C2311yescharacteristic
246C2×#4325C2311yescharacteristic
247C2×#4325C2311yescharacteristic
248#66993C2311yescharacteristic
249#66992—21no—
250#66992—21no—
251#66991C2311yescharacteristic
252#66991C2311yescharacteristic
253#66991C2311yescharacteristic
254#66990—21no—
255#66988—21no—
256D4×Dic11—21no—
257D4×Dic11—21no—
258D4×Dic11C2311yescharacteristic
259D4×Dic11C2311yescharacteristic
260D4×Dic11C2311yescharacteristic
261C2×#4323C2311yescharacteristic
262C2×#4323C2311yescharacteristic
263#66982—21no—
264C4×C22⋊D11—21no—
265C4×C22⋊D11—21no—
266C4×C22⋊D11—21no—
267C4×C22⋊D11D411yescharacteristic
268C4×C22⋊D11D411yescharacteristic
269C4×C22⋊D11C2311yescharacteristic
270C4×C22⋊D11C2311yescharacteristic
271C2×(C2×D11)⋊C4—21no—
272#66979D411yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276#66977—21no—
277C2×Dic11⋊C4—21no—
278C2×Dic11⋊C4—21no—
279C2×Dic11⋊C4—21no—
280C2×C8×D11C2311yescharacteristic
281C2×C8×D11C2311yescharacteristic
282C2×C8×D11C2311yescharacteristic
283C2×C8×D11C2311yescharacteristic
284#66951—21no—
285#66951—21no—
286#66951—21no—
287#66950—21no—
288#66950—21no—
289#66950—21no—
290#66949—21no—
291#66949—21no—
292#66949—21no—
293#66949—21no—
294#66948—21no—
295#66948—21no—
296#66948C2311yescharacteristic
297#66948C2311yescharacteristic
298#66947—21no—
299#66947—21no—
300#66947—21no—
301#66947—21no—
302#66946—21no—
303#66946—21no—
304#66946C2311yescharacteristic
305#66946C2311yescharacteristic
306#66945—21no—
307#66945C2311yescharacteristic
308#66945C2311yescharacteristic
309#66945C2311yescharacteristic
310C4⋊C4×D11—21no—
311C4⋊C4×D11—21no—
312C4⋊C4×D11—21no—
313C4⋊C4×D11C2311yescharacteristic
314C4⋊C4×D11C2311yescharacteristic
315C4⋊C4×D11C2311yescharacteristic
316#66943—21no—
317#66943—21no—
318#66943C2311yescharacteristic
319#66943C2311yescharacteristic
320#66943C2311yescharacteristic
321#66942—21no—
322#66942—21no—
323#66942—21no—
324#66942—21no—
325#66942—21no—
326#66941—21no—
327#66941C2311yescharacteristic
328#66941C2311yescharacteristic
329#66941C2311yescharacteristic
330#66940—21no—
331#66940—21no—
332#66939—21no—
333#66939—21no—
334#66939—21no—
335#66939—21no—
336#66938—21no—
337#66938—21no—
338#66937—21no—
339#66937—21no—
340#66937—21no—
341#66937—21no—
342#66936—21no—
343#66936—21no—
344#66936—21no—
345#66936—21no—
346#66936—21no—
347#66935—21no—
348#66935—21no—
349#66935—21no—
350(C22⋊D11)⋊C4—21no—
351(C22⋊D11)⋊C4—21no—
352(C22⋊D11)⋊C4—21no—
353(C22⋊D11)⋊C4—21no—
354(C22⋊D11)⋊C4—21no—
355(C22⋊D11)⋊C4—21no—
356C22⋊C4×D11—21no—
357C22⋊C4×D11—21no—
358C22⋊C4×D11—21no—
359#66932—21no—
360#66932—21no—
361#66932—21no—
362#66932—21no—
363#66932—21no—
364#66931—21no—
365#66931—21no—
366#66931—21no—
367#66931—21no—
368#66931—21no—
369#66930—21no—
370#66930—21no—
371#66930—21no—
372#66929—21no—
373C4×D44—21no—
374C4×D44—21no—
375C4×D44—21no—
376C4×D44—21no—
377C4×D44D411yescharacteristic
378C4×D44C2311yescharacteristic
379C4×D44C2311yescharacteristic
380C4×D44C2311yescharacteristic
381C4×D44C2311yescharacteristic
382C4×D44C2311yescharacteristic
383#66925—21no—
384#66925—21no—
385#66925D411yescharacteristic
386#66925D411yescharacteristic
387C42×D11—21no—
388C42×D11C2311yescharacteristic
389C42×D11C2311yescharacteristic
390#66923—21no—
391#66923—21no—
392#66923—21no—
393#66923C2311yescharacteristic
394#66923C2311yescharacteristic
395#66923C2311yescharacteristic
396#66923C2311yescharacteristic
397C4×Dic22—21no—
398C4×Dic22D411yescharacteristic
399C4×Dic22C2311yescharacteristic
400C11×#107C2311yescharacteristic
401C11×#107C2311yescharacteristic
402C11×#106C2311yescharacteristic
403C11×#106C2311yescharacteristic
404C11×C4⋊C8C2311yescharacteristic
405C11×C4⋊C8C2311yescharacteristic
406C11×C4⋊C8C2311yescharacteristic
407C11×C4⋊C8C2311yescharacteristic
408C11×#103C2311yescharacteristic
409C11×#103C2311yescharacteristic
410C11×#103C2311yescharacteristic
411C11×#103C2311yescharacteristic
412C11×#102C2311yescharacteristic
413C11×#102C2311yescharacteristic
414C11×#102C2311yescharacteristic
415C11×#102C2311yescharacteristic
416#66899C2311yescharacteristic
417#66899C2311yescharacteristic
418#66899C2311yescharacteristic
419#66899C2311yescharacteristic
420#66899C2311yescharacteristic
421#66899C2311yescharacteristic
422#66896C2311yescharacteristic
423#66896C2311yescharacteristic
424#66896C2311yescharacteristic
425#66896C2311yescharacteristic
426#66896C2311yescharacteristic
427#66896C2311yescharacteristic
428C22⋊(C11⋊C8)C2311yescharacteristic
429C22⋊(C11⋊C8)C2311yescharacteristic
430#66885C2311yescharacteristic
431#66885C2311yescharacteristic
432#66885C2311yescharacteristic
433#66885C2311yescharacteristic
434#66885C2311yescharacteristic
435#66885C2311yescharacteristic
436#66885C2311yescharacteristic
437#66885C2311yescharacteristic
438(C2×D11)⋊C8C2311yescharacteristic
439(C2×D11)⋊C8C2311yescharacteristic
440(C2×D11)⋊C8C2311yescharacteristic
441(C2×D11)⋊C8C2311yescharacteristic
442#66882C2311yescharacteristic
443#66882C2311yescharacteristic
444#66882C2311yescharacteristic
445#66882C2311yescharacteristic
446#66881C2311yescharacteristic
447#66881C2311yescharacteristic
448#66881C2311yescharacteristic
449#66881C2311yescharacteristic
450Dic11⋊C8C2311yescharacteristic
451Dic11⋊C8C2311yescharacteristic
452Dic11⋊C8C2311yescharacteristic
453Dic11⋊C8C2311yescharacteristic
454C8×Dic11C2311yescharacteristic
455C8×Dic11C2311yescharacteristic
456C8×Dic11C2311yescharacteristic
457C8×Dic11C2311yescharacteristic
458#66873C2311yescharacteristic
459#66873C2311yescharacteristic
460#66873C2311yescharacteristic
461#66873C2311yescharacteristic
462#66872C2311yescharacteristic
463#66872C2311yescharacteristic
464#66872C2311yescharacteristic
465#66872C2311yescharacteristic
466#66872C2311yescharacteristic
467#66872C2311yescharacteristic
468#66871C2311yescharacteristic
469#66871C2311yescharacteristic
470#66871C2311yescharacteristic
471#66871C2311yescharacteristic
472#66871C2311yescharacteristic
473#66871C2311yescharacteristic
474C4⋊(C11⋊C8)C2311yescharacteristic
475C4⋊(C11⋊C8)C2311yescharacteristic
476C4×C11⋊C8C2311yescharacteristic
477C4×C11⋊C8C2311yescharacteristic
478#62103—111nomaximal, Sylow
479C23×D11—21no—
480C23×D11—21no—
481C2×Q8×C11C2411yescharacteristic
482C2×Q8×C11C2411yescharacteristic
483C2×D4×C11—21no—
484C2×D4×C11—21no—
485C2×D4×C11C2411yescharacteristic
486C2×D4×C11C2411yescharacteristic
487C22×C4×C11—21no—
488C22×C4×C11—21no—
489C22×C4×C11C2×D411yescharacteristic
490C22×C4×C11C2×D411yescharacteristic
491C22×C4×C11C2411yescharacteristic
492C2×C22⋊D11—21no—
493C2×C22⋊D11—21no—
494C2×C22⋊D11—21no—
495C2×C22⋊D11—21no—
496C2×C22⋊D11—21no—
497C2×C22⋊D11—21no—
498C2×C22⋊D11C2×D411yescharacteristic
499C2×C22⋊D11C2×D411yescharacteristic
500C22×Dic11—21no—
501C22×Dic11—21no—
502C22×Dic11—21no—
503C22×Dic11—21no—
504C22×Dic11—21no—
505C22×Dic11—21no—
506#4343—22no—
507#4343—41no—
508#4341—44no—
509D4×D11—22no—
510D4×D11—41no—
511D4×D11—44no—
512#4339—24no—
513#4339—82no—
514C2×D44—21no—
515C2×D44—21no—
516C2×D44—21no—
517C2×D44—22no—
518C2×D44—21no—
519C2×D44—41no—
520C2×D44C2×D411yescharacteristic
521C2×D44C2411yescharacteristic
522C2×D44C2411yescharacteristic
523C2×C4×D11—21no—
524C2×C4×D11—21no—
525C2×C4×D11—21no—
526C2×C4×D11—21no—
527C2×C4×D11—21no—
528C2×C4×D11—21no—
529C2×C4×D11—21no—
530C2×C4×D11—21no—
531C2×C4×D11—21no—
532C2×C4×D11—21no—
533C2×C4×D11—82no—
534C2×C4×D11—82no—
535C2×C4×D11C2×D411yescharacteristic
536C2×C4×D11C2×D411yescharacteristic
537C2×C4×D11C2×D411yescharacteristic
538C2×C4×D11C2×D411yescharacteristic
539C2×C4×D11C2411yescharacteristic
540C2×C4×D11C2411yescharacteristic
541C2×Dic22—21no—
542C2×Dic22—21no—
543C2×Dic22—21no—
544C2×Dic22C2×D411yescharacteristic
545C11×Q16—41no—
546C11×SD16—41no—
547C11×SD16—41no—
548C11×D8—41no—
549C2×C8×C11—41no—
550C2×C8×C11—41no—
551C2×C8×C11C2411yescharacteristic
552C2×C8×C11C2411yescharacteristic
553C2×C8×C11C2411yescharacteristic
554C2×C8×C11C2411yescharacteristic
555C11×C4⋊C4—21no—
556C11×C4⋊C4—21no—
557C11×C4⋊C4—21no—
558C11×C4⋊C4—21no—
559C11×C4⋊C4—21no—
560C11×C4⋊C4—21no—
561C11×C4⋊C4—21no—
562C11×C4⋊C4—21no—
563C11×C4⋊C4C2411yescharacteristic
564C11×C4⋊C4C2411yescharacteristic
565C11×C4⋊C4C2411yescharacteristic
566C11×C4⋊C4C2411yescharacteristic
567C11×C22⋊C4—21no—
568C11×C22⋊C4—21no—
569C11×C22⋊C4—21no—
570C11×C22⋊C4—21no—
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C42×C11—21no—
578C42×C11—21no—
579C42×C11C2×D411yescharacteristic
580C42×C11C2×D411yescharacteristic
581C42×C11C2411yescharacteristic
582C42×C11C2411yescharacteristic
583C22⋊Dic11—21no—
584C22⋊Dic11—21no—
585C22⋊Dic11—21no—
586C22⋊Dic11—21no—
587C22⋊Dic11—21no—
588C22⋊Dic11—21no—
589C22⋊Dic11C2×D411yescharacteristic
590C22⋊Dic11C2×D411yescharacteristic
591#4325—22no—
592#4325—41no—
593#4323—22no—
594#4323—41no—
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)⋊C4—21no—
607(C2×D11)⋊C4—21no—
608(C2×D11)⋊C4—21no—
609(C2×D11)⋊C4—21no—
610(C2×D11)⋊C4—21no—
611(C2×D11)⋊C4C2×D411yescharacteristic
612(C2×D11)⋊C4C2×D411yescharacteristic
613(C2×D11)⋊C4C2×D411yescharacteristic
614(C2×D11)⋊C4C2×D411yescharacteristic
615C4⋊Dic11—21no—
616C4⋊Dic11—21no—
617C4⋊Dic11—21no—
618C4⋊Dic11—21no—
619C4⋊Dic11—21no—
620C4⋊Dic11—21no—
621C4⋊Dic11—21no—
622C4⋊Dic11—21no—
623C4⋊Dic11—21no—
624C4⋊Dic11C2×D411yescharacteristic
625C4⋊Dic11C2×D411yescharacteristic
626C4⋊Dic11C2411yescharacteristic
627C4⋊Dic11C2411yescharacteristic
628C4⋊Dic11C2411yescharacteristic
629C4⋊Dic11C2411yescharacteristic
630C4⋊Dic11C2411yescharacteristic
631C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
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×Dic11C2×D411yescharacteristic
663C4×Dic11C2×D411yescharacteristic
664C4×Dic11C2×D411yescharacteristic
665C4×Dic11C2×D411yescharacteristic
666C4×Dic11C2411yescharacteristic
667C4×Dic11C2411yescharacteristic
668C2×C11⋊C8C2411yescharacteristic
669C2×C11⋊C8C2411yescharacteristic
670C2×C11⋊C8C2411yescharacteristic
671C2×C11⋊C8C2411yescharacteristic
672C8×D11—41no—
673C8×D11—41no—
674C8×D11—41no—
675C8×D11—41no—
676#3515—111no—
677#3481—111no—
678#3381—111no—
679#3380—111no—
680#3365—111no—
681#3361—111no—
682#3339—111no—
683#3339—111no—
684#3338—111no—
685#3337—111no—
686#3337—111no—
687#3335—111no—
688#3297—111no—
689#3297—111no—
690#3296—111no—
691#3296—111no—
692#3295—111no—
693#3294—111no—
694#3250—111no—
695#3250D1111yescharacteristic, complemented
696#3247—111no—
697#3232—111no—
698#3232—111no—
699#3228—111no—
700#3105—111no—
701#3105—111no—
702#3102—111no—
703#3076—111no—
704C2×#478—111no—
705C2×#478—111no—
706#2988—111no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11C22×D411yescharacteristic
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—42no—
713C22×D11—42no—
714C22×D11—42no—
715C22×D11—42no—
716C22×D11—81no—
717C22×D11—81no—
718C22×D11C22×D411yescharacteristic
719C22×D11C22×D411yescharacteristic
720Q8×C11—21no—
721Q8×C11—21no—
722Q8×C11—21no—
723Q8×C11—21no—
724D4×C11—21no—
725D4×C11—21no—
726D4×C11—21no—
727D4×C11—21no—
728D4×C11—42no—
729D4×C11—42no—
730C2×C4×C11—22no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—41no—
740C2×C4×C11—42no—
741C2×C4×C11—81no—
742C2×C4×C11C22×D411yescharacteristic
743C2×C4×C11C22×D411yescharacteristic
744C2×C4×C11C22×D411yescharacteristic
745C2×C4×C11C22×D411yescharacteristic
746C2×C4×C11C22×D411yescharacteristic
747C2×C4×C11C2511yescharacteristic
748C22⋊D11—22no—
749C22⋊D11—42no—
750C22⋊D11—42no—
751C22⋊D11—42no—
752C22⋊D11—81no—
753C22⋊D11—81no—
754C22⋊D11—81no—
755C22⋊D11#13514yes—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—42no—
763C2×Dic11—42no—
764C2×Dic11—81no—
765C2×Dic11—81no—
766C2×Dic11—81no—
767C2×Dic11—81no—
768C2×Dic11C22×D411yescharacteristic
769C2×Dic11C22×D411yescharacteristic
770C2×Dic11C22×D411yescharacteristic
771C2×Dic11C22×D411yescharacteristic
772C2×Dic11C22×D411yescharacteristic
773C2×Dic11C22×D411yescharacteristic
774D44—22no—
775D44—21no—
776D44—21no—
777D44—21no—
778D44—42no—
779D44—42no—
780D44—42no—
781D44—81no—
782D442−1+412yes—
783C4×D11—22no—
784C4×D11—21no—
785C4×D11—21no—
786C4×D11—21no—
787C4×D11—21no—
788C4×D11—22no—
789C4×D11—41no—
790C4×D11—41no—
791C4×D11—42no—
792C4×D11—42no—
793C4×D11—42no—
794C4×D11—42no—
795C4×D11—42no—
796C4×D11—81no—
797C4×D11—81no—
798C4×D11—81no—
799C4×D11—81no—
800C4×D11—81no—
801Dic22—22no—
802Dic22—42no—
803Dic22—81no—
804Dic22—81no—
805C8×C11—21no—
806C8×C11—21no—
807C8×C11—21no—
808C8×C11—21no—
809C11⋊C8—21no—
810C11⋊C8—21no—
811C11⋊C8—21no—
812C11⋊C8—21no—
813#559—111no—
814#557—111no—
815#554—111no—
816#554—111no—
817#554—111no—
818#554—111no—
819#553—111no—
820#553—111no—
821#553—111no—
822#553—111no—
823#553—221no—
824#552—111no—
825#552—111no—
826#552—221no—
827#552—221no—
828#552—221no—
829#551—221no—
830#551—221no—
831#547—111no—
832#547—221no—
833#546—111no—
834#546—111no—
835#546—221no—
836D42—111no—
837#541—221no—
838#539—221no—
839#539—221no—
840#533—111no—
841#532—111no—
842#529—111no—
843#529—111no—
844#529—111no—
845#529—221no—
846#529C2×D1111yescharacteristic
847#529C2×D1111yescharacteristic, complemented
848C2×#125—111no—
849C2×#125—111no—
850#525—221no—
851#525—221no—
852#520—221no—
853C4×#41—111no—
854C4×#41—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4—221no—
858#500—111no—
859#499—111no—
860#499—111no—
861#499—111no—
862#499—111no—
863#498—111no—
864#488—111no—
865#488—111no—
866#488—111no—
867#488—111no—
868#486—111no—
869#486—111no—
870#485—111no—
871#484—111no—
872#484—111no—
873#484—111no—
874#484—111no—
875#483—111no—
876#483—111no—
877#482—111no—
878#482—111no—
879#482—111no—
880#482—111no—
881#482—111no—
882#481—111no—
883#481—111no—
884#481—111no—
885#481—111no—
886#480—111no—
887#480—111no—
888#479—111no—
889#479—111no—
890#479—111no—
891#479C2×D1111yescharacteristic, complemented
892#479C2×D1111yescharacteristic, complemented
893#478—111no—
894#478—111no—
895#478—111no—
896#478—111no—
897#478—111no—
898#478—111no—
899#478—111no—
900#478—111no—
901#478—111no—
902#478—111no—
903#478—111no—
904#478—111no—
905#478—111no—
906#478—111no—
907#478—111no—
908#478—111no—
909#478—111no—
910#478C2×D1111yescharacteristic, complemented
911#478C2×D1111yescharacteristic, complemented
912#477—111no—
913#477—111no—
914#476—111no—
915#476—111no—
916#475—111no—
917#474—111no—
918#467—111no—
919#467C2×D1111yescharacteristic, complemented
920#466—111no—
921#466—111no—
922#466—111no—
923#466C2×D1111yescharacteristic
924#465—111no—
925#465—111no—
926#465—111no—
927#465—111no—
928#465C2×D1111yescharacteristic
929#465C2×D1111yescharacteristic, complemented
930#464—111no—
931#464C2×D1111yescharacteristic, complemented
932#464C2×D1111yescharacteristic, complemented
933#463—111no—
934#463—111no—
935#463—111no—
936#463C2×D1111yescharacteristic, complemented
937#463C2×D1111yescharacteristic, complemented
938#460—111no—
939#459—111no—
940#452—111no—
941#450—111no—
942#450—111no—
943#449—111no—
944#447—111no—
945#447—111no—
946C8×Q8—111no—
947C8×Q8—111no—
948C4×Q16—111no—
949C4×SD16—111no—
950C4×SD16—111no—
951C4×SD16—111no—
952C4×SD16—111no—
953C4×SD16—111no—
954C4×SD16—111no—
955C4×D8—111no—
956C4×D8—111no—
957C4×D8—111no—
958C4×D8—111no—
959C4×D8—111no—
960C8×D4—111no—
961C8×D4—111no—
962C8×D4—111no—
963C8×D4—111no—
964C8×D4—111no—
965C8×D4—111no—
966#431—111no—
967#431—111no—
968#431—111no—
969#427—111no—
970#427—111no—
971C2×#107—111no—
972C2×#107—111no—
973C2×#106—111no—
974C2×#106—111no—
975C2×C4⋊C8—111no—
976C2×C4⋊C8—111no—
977C2×C4⋊C8C2×D1111yescharacteristic, complemented
978#416—111no—
979#416—111no—
980C2×#102—111no—
981C2×#102—111no—
982C2×#102—111no—
983C2×#102—111no—
984C22×C11—21no—
985C22×C11—21no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11C2×#13512yes—
993C22×C11C23×D411yescharacteristic
994C2×D11—21no—
995C2×D11—21no—
996C2×D11—21no—
997C2×D11—22no—
998C2×D11—21no—
999C2×D11—21no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—84no—
1006C2×D11—84no—
1007C2×D11C2×#13512yes—
1008C4×C11—21no—
1009C4×C11—21no—
1010C4×C11—21no—
1011C4×C11—21no—
1012C4×C11—21no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11C2×2−1+411yescharacteristic
1020C4×C11#58511yescharacteristic
1021Dic11—21no—
1022Dic11—21no—
1023Dic11—21no—
1024Dic11—21no—
1025Dic11—21no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11C2×#13512yes—
1033C2×#41—111no—
1034C2×#41—111no—
1035C2×#41—221no—
1036C2×#41—221no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—221no—
1040C23×C4—221no—
1041C23×C4—221no—
1042C2×Q16C22×D1111yescharacteristic
1043C2×SD16—111no—
1044C2×SD16—111no—
1045C2×SD16C22×D1111yescharacteristic
1046C2×SD16C22×D1111yescharacteristic
1047C2×D8—111no—
1048C2×D8—111no—
1049C2×D8C22×D1111yescharacteristic
1050C22×C8—111no—
1051C22×C8—111no—
1052C22×C8—111no—
1053C22×C8—111no—
1054C22×C8C22×D1111yescharacteristic
1055C22×C8C22×D1111yescharacteristic
1056C4⋊Q8—111no—
1057C4⋊Q8—111no—
1058C4⋊Q8—111no—
1059C4⋊Q8—221no—
1060#127—111no—
1061#126—21no—
1062#126—21no—
1063#126—221no—
1064#126—221no—
1065#126—221no—
1066#126—221no—
1067#126—221no—
1068#126—221no—
1069#126—221no—
1070#126—221no—
1071#126—221no—
1072#125—111no—
1073#125—111no—
1074#125—111no—
1075#125—111no—
1076#125—111no—
1077#125—111no—
1078#125—111no—
1079#125—221no—
1080#125—221no—
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—221no—
1093#124—221no—
1094#124C22×D1111yescharacteristic
1095#124C22×D1111yescharacteristic
1096#123—21no—
1097#123—21no—
1098#123—221no—
1099#123—221no—
1100#123—221no—
1101#123—221no—
1102#123—221no—
1103#123—221no—
1104#123—221no—
1105#123—221no—
1106#123—221no—
1107#123—221no—
1108#123—221no—
1109#123—221no—
1110#123—221no—
1111#123—221no—
1112#123—221no—
1113C22⋊Q8—111no—
1114C22⋊Q8—111no—
1115C22⋊Q8—111no—
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⋊Q8C22×D1111yescharacteristic
1130C22⋊Q8C22×D1111yescharacteristic
1131#121—111no—
1132#121—111no—
1133#121—111no—
1134#121—111no—
1135#121—111no—
1136#121—221no—
1137#121—221no—
1138#121—221no—
1139#121—221no—
1140#121—221no—
1141#121—221no—
1142#121—221no—
1143#121—221no—
1144#121C22×D1111yescharacteristic
1145#121C22×D1111yescharacteristic
1146#120—221no—
1147#120—221no—
1148#120—221no—
1149#120—221no—
1150C4×Q8—111no—
1151C4×Q8—111no—
1152C4×Q8—111no—
1153C4×Q8—111no—
1154C4×Q8—111no—
1155C4×Q8—221no—
1156C4×Q8—221no—
1157C4×Q8—221no—
1158C4×Q8C22×D1111yescharacteristic
1159C4×Q8C22×D1111yescharacteristic
1160C4×D4—21no—
1161C4×D4—21no—
1162C4×D4—111no—
1163C4×D4—111no—
1164C4×D4—111no—
1165C4×D4—111no—
1166C4×D4—111no—
1167C4×D4—111no—
1168C4×D4—111no—
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—221no—
1178C4×D4—221no—
1179C4×D4—221no—
1180C4×D4—221no—
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×D4C22×D1111yescharacteristic
1195C4×D4C22×D1111yescharacteristic
1196#117—21no—
1197#117—21no—
1198#117—111no—
1199#117—111no—
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—
1209#117—221no—
1210C2×C4⋊C4—111no—
1211C2×C4⋊C4—111no—
1212C2×C4⋊C4—111no—
1213C2×C4⋊C4—111no—
1214C2×C4⋊C4—111no—
1215C2×C4⋊C4—111no—
1216C2×C4⋊C4—221no—
1217C2×C4⋊C4—221no—
1218C2×C4⋊C4—221no—
1219C2×C4⋊C4—221no—
1220C2×C4⋊C4—221no—
1221C2×C4⋊C4—221no—
1222C2×C22⋊C4—221no—
1223C2×C22⋊C4—221no—
1224C2×C22⋊C4—221no—
1225C2×C22⋊C4—221no—
1226C2×C42—111no—
1227C2×C42—111no—
1228C2×C42—221no—
1229C2×C42C22×D1111yescharacteristic
1230#107—111no—
1231#107—111no—
1232#107—111no—
1233#107—111no—
1234#107—111no—
1235#107—111no—
1236#107—111no—
1237#107—111no—
1238#107—111no—
1239#107—111no—
1240#107C22×D1111yescharacteristic
1241#107C22×D1111yescharacteristic
1242#106—111no—
1243#106—111no—
1244#106—111no—
1245#106—111no—
1246#106—111no—
1247#106—111no—
1248#106—111no—
1249#106—111no—
1250#106—111no—
1251#106—111no—
1252#106C22×D1111yescharacteristic
1253#106C22×D1111yescharacteristic
1254C4⋊C8—111no—
1255C4⋊C8—111no—
1256C4⋊C8—111no—
1257C4⋊C8—111no—
1258C4⋊C8—111no—
1259C4⋊C8—111no—
1260C4⋊C8C22×D1111yescharacteristic
1261C4⋊C8C22×D1111yescharacteristic
1262C4⋊C8C22×D1111yescharacteristic
1263C4⋊C8C22×D1111yescharacteristic
1264#103—111no—
1265#103—111no—
1266#103—111no—
1267#103—111no—
1268#103—111no—
1269#103—111no—
1270#103C22×D1111yescharacteristic
1271#103C22×D1111yescharacteristic
1272#103C22×D1111yescharacteristic
1273#103C22×D1111yescharacteristic
1274#102—111no—
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#102—111no—
1288#102—111no—
1289#102—111no—
1290#102—111no—
1291#102—111no—
1292#102C22×D1111yescharacteristic
1293#102C22×D1111yescharacteristic
1294#102C22×D1111yescharacteristic
1295#102C22×D1111yescharacteristic
1296C22⋊C8—111no—
1297C22⋊C8—111no—
1298C22⋊C8—111no—
1299C22⋊C8—111no—
1300C22⋊C8—111no—
1301C22⋊C8—111no—
1302C4×C8—111no—
1303C4×C8—111no—
1304C4×C8—111no—
1305C4×C8—111no—
1306C4×C8—111no—
1307C4×C8—111no—
1308C2×C11—22no—
1309C2×C11—81no—
1310C2×C11—81no—
1311C2×C11#348911yescharacteristic
1312C2×C11C22×#13511yescharacteristic
1313C2×C11#358511yescharacteristic
1314D11—22no—
1315D11—41no—
1316D11—42no—
1317D11—81no—
1318C24—221no—
1319C24—221no—
1320#41—224no—
1321#41—222no—
1322#41—441no—
1323#41—444no—
1324#41—882no—
1325C2×Q8—111no—
1326C2×Q8—221no—
1327C2×Q8—221no—
1328C2×Q8—221no—
1329C2×Q8C23×D1111yescharacteristic
1330C2×Q8C23×D1111yescharacteristic
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—111no—
1334C2×D4—111no—
1335C2×D4—111no—
1336C2×D4—111no—
1337C2×D4—111no—
1338C2×D4—222no—
1339C2×D4—221no—
1340C2×D4—221no—
1341C2×D4—221no—
1342C2×D4—221no—
1343C2×D4—221no—
1344C2×D4—221no—
1345C2×D4—222no—
1346C2×D4—221no—
1347C2×D4—221no—
1348C2×D4—221no—
1349C2×D4—221no—
1350C2×D4—441no—
1351C2×D4—441no—
1352C2×D4—444no—
1353C2×D4C23×D1111yescharacteristic
1354C2×D4C23×D1111yescharacteristic
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—221no—
1364C22×C4—221no—
1365C22×C4—221no—
1366C22×C4—221no—
1367C22×C4—221no—
1368C22×C4—221no—
1369C22×C4—221no—
1370C22×C4—221no—
1371C22×C4—221no—
1372C22×C4—221no—
1373C22×C4—221no—
1374C22×C4—221no—
1375C22×C4—221no—
1376C22×C4—221no—
1377C22×C4—221no—
1378C22×C4—221no—
1379C22×C4—882no—
1380C22×C4—882no—
1381C22×C4D4×D1111yescharacteristic
1382C22×C4D4×D1111yescharacteristic
1383C22×C4C23×D1111yescharacteristic
1384Q16—41no—
1385SD16—41no—
1386SD16—41no—
1387SD16—222no—
1388SD16—441no—
1389D8—41no—
1390D8—222no—
1391D8—441no—
1392C2×C8—41no—
1393C2×C8—41no—
1394C2×C8—111no—
1395C2×C8—111no—
1396C2×C8—111no—
1397C2×C8—111no—
1398C2×C8—441no—
1399C2×C8—441no—
1400C2×C8—441no—
1401C2×C8—441no—
1402C2×C8C23×D1111yescharacteristic
1403C2×C8C23×D1111yescharacteristic
1404C2×C8C23×D1111yescharacteristic
1405C2×C8C23×D1111yescharacteristic
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—111no—
1415C4⋊C4—111no—
1416C4⋊C4—111no—
1417C4⋊C4—111no—
1418C4⋊C4—111no—
1419C4⋊C4—111no—
1420C4⋊C4—111no—
1421C4⋊C4—111no—
1422C4⋊C4—111no—
1423C4⋊C4—111no—
1424C4⋊C4—111no—
1425C4⋊C4—111no—
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⋊C4—221no—
1451C4⋊C4—221no—
1452C4⋊C4—221no—
1453C4⋊C4—221no—
1454C4⋊C4—221no—
1455C4⋊C4C23×D1111yescharacteristic
1456C4⋊C4C23×D1111yescharacteristic
1457C4⋊C4C23×D1111yescharacteristic
1458C4⋊C4C23×D1111yescharacteristic
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—111no—
1470C22⋊C4—111no—
1471C22⋊C4—111no—
1472C22⋊C4—111no—
1473C22⋊C4—111no—
1474C22⋊C4—111no—
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—
1491C22⋊C4—221no—
1492C22⋊C4—221no—
1493C22⋊C4—221no—
1494C22⋊C4—221no—
1495C22⋊C4—221no—
1496C22⋊C4—221no—
1497C42—21no—
1498C42—21no—
1499C42—111no—
1500C42—111no—
1501C42—111no—
1502C42—111no—
1503C42—111no—
1504C42—111no—
1505C42—221no—
1506C42—221no—
1507C42—221no—
1508C42—221no—
1509C42—221no—
1510C42—221no—
1511C42D4×D1111yescharacteristic
1512C42D4×D1111yescharacteristic
1513C42C23×D1111yescharacteristic
1514C42C23×D1111yescharacteristic
1515C11#6210311yescharacteristic, complemented, Sylow
1516C23—21no—
1517C23—21no—
1518C23—111no—
1519C23—111no—
1520C23—221no—
1521C23—221no—
1522C23—442no—
1523C23—442no—
1524C23—442no—
1525C23—442no—
1526C23—881no—
1527C23—881no—
1528C23C2×D4×D1111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—222no—
1534Q8—442no—
1535Q8—881no—
1536Q8—881no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—42no—
1542D4—42no—
1543D4—114no—
1544D4—112no—
1545D4—222no—
1546D4—222no—
1547D4—221no—
1548D4—221no—
1549D4—221no—
1550D4—442no—
1551D4—442no—
1552D4—442no—
1553D4—442no—
1554D4—442no—
1555D4—442no—
1556D4—881no—
1557D4—881no—
1558D4—881no—
1559D4—881no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—111no—
1573C2×C4—111no—
1574C2×C4—111no—
1575C2×C4—111no—
1576C2×C4—111no—
1577C2×C4—111no—
1578C2×C4—222no—
1579C2×C4—222no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—441no—
1591C2×C4—441no—
1592C2×C4—442no—
1593C2×C4—442no—
1594C2×C4—442no—
1595C2×C4—442no—
1596C2×C4—442no—
1597C2×C4—442no—
1598C2×C4—442no—
1599C2×C4—881no—
1600C2×C4—881no—
1601C2×C4—881no—
1602C2×C4—881no—
1603C2×C4—881no—
1604C2×C4—881no—
1605C2×C4—881no—
1606C2×C4—881no—
1607C2×C4—881no—
1608C2×C4C2×D4×D1111yescharacteristic
1609C2×C4C2×D4×D1111yescharacteristic
1610C2×C4C2×D4×D1111yescharacteristic
1611C2×C4C2×D4×D1111yescharacteristic
1612C2×C4C2×D4×D1111yescharacteristic
1613C2×C4C24×D1111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—221no—
1619C8—221no—
1620C8—221no—
1621C8—221no—
1622C22—21no—
1623C22—21no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—112no—
1631C22—221no—
1632C22—221no—
1633C22—221no—
1634C22—221no—
1635C22—222no—
1636C22—221no—
1637C22—441no—
1638C22—441no—
1639C22—441no—
1640C22—441no—
1641C22—441no—
1642C22—884no—
1643C22—884no—
1644C22D11×#13512yes—
1645C22C22×D4×D1111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—112no—
1658C4—221no—
1659C4—221no—
1660C4—221no—
1661C4—221no—
1662C4—221no—
1663C4—441no—
1664C4—441no—
1665C4—441no—
1666C4—441no—
1667C4—441no—
1668C4—441no—
1669C4#1062345511yescharacteristic
1670C4D11×2−1+411yescharacteristic
1671C2—22no—
1672C2—81no—
1673C2—81no—
1674C2—222no—
1675C2—441no—
1676C2—442no—
1677C2—881no—
1678C2#1308229111yescharacteristic
1679C2C2×D11×#13511yescharacteristic
1680C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3250C2
socleC22×C11C23×D4
hypercenter#3250D11
hypocenterC11#62103
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3250

Complements

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

NH ≅ G/Ntype
1. #13082582C2semidirect
2. #13082222C2semidirect
3. #13081494C2semidirect
4. #13081478C2semidirect
5. #13081307C2semidirect
6. #13081271C2semidirect
7. #13081021C2semidirect
8. #13081015C2semidirect
9. #13081005C2semidirect
10. #13081001C2semidirect
11. #13080992C2semidirect
12. #13080968C2semidirect
13. #13080473C2semidirect
14. #13080472C2semidirect
15. #13080458C2semidirect
16. #13080457C2semidirect
17. #13080435C2semidirect
18. #13080424C2semidirect
19. #13079966C2semidirect
20. #13079939C2semidirect
21. #13079788C2semidirect
22. #13079780C2semidirect
23. #13079751C2semidirect
24. #13078662C2semidirect
25. #13078659C2semidirect
26. #13078633C2semidirect
27. #13078403C2semidirect
28. C2×#10622460C2semidirect
29. D11×#478C2semidirect
30. #13077725C2semidirect
31. C11×#3250C2semidirect
33. C11×#529C22semidirect
40. #10623219C22semidirect
41. D11×#125C22semidirect
43. #10623211C22semidirect
44. #10623211C22semidirect
50. #10623173C22semidirect
55. #10623149C22semidirect
58. #10623112C22semidirect
61. #10623100C22semidirect
63. #10623089C22semidirect
69. #10623070C22semidirect
76. C2×#66923C22semidirect
77. C11×#479C22semidirect
78. C11×#479C22semidirect
79. C11×#478C22semidirect
80. C11×#478C22semidirect
81. C11×#467C22semidirect
84. C11×#465C22semidirect
85. C11×#464C22semidirect
86. C11×#464C22semidirect
87. C11×#463C22semidirect
88. C11×#463C22semidirect
89. C2×C11×C4⋊C8C22semidirect
90. #10622801C22semidirect
92. #10622798C22semidirect
93. Q16×Dic11C22semidirect
95. #10622784C22semidirect
96. #10622784C22semidirect
98. #10622778C22semidirect
100. SD16×Dic11C22semidirect
101. SD16×Dic11C22semidirect
102. #10622770C22semidirect
105. D8×Dic11C22semidirect
110. C8×C22⋊D11C22semidirect
111. C8×C22⋊D11C22semidirect
112. C2×#66882C22semidirect
113. C2×#66881C22semidirect
115. #10622679C22semidirect
116. #10622677C22semidirect
117. #10622677C22semidirect
119. #10622670C22semidirect
120. #10622669C22semidirect
121. #10622669C22semidirect
123. #10622657C22semidirect
124. #10622657C22semidirect
125. #10622656C22semidirect
128. #10622647C22semidirect
131. C4×#4325C22semidirect
132. #10622635C22semidirect
133. #10622635C22semidirect
135. C4×#4323C22semidirect
136. #10622622C22semidirect
137. #10622622C22semidirect
138. #10622538C22semidirect
141. #10622498C22semidirect
143. #10622493C22semidirect
144. D11×#107C22semidirect
145. #10622491C22semidirect
146. #10622487C22semidirect
149. #10622479C22semidirect
151. #10622473C22semidirect
152. D11×#106C22semidirect
153. #10622471C22semidirect
154. #10622468C22semidirect
159. #10622460C22semidirect
160. #10622460C22semidirect
161. #10622460C22semidirect
162. #10622460C22semidirect
163. #10622447C22semidirect
164. #10622447C22semidirect
165. #10622446C22semidirect
166. #10622446C22semidirect
167. D11×C4⋊C8C22semidirect
168. D11×C4⋊C8C22semidirect
169. #10622443C22semidirect
170. #10622443C22semidirect
171. #10622428C22semidirect
172. #10622422C22semidirect
173. #10622422C22semidirect
175. #10622420C22semidirect
176. #10622418C22semidirect
179. #10622413C22semidirect
180. #10622413C22semidirect
181. #10622412C22semidirect
182. #10622407C22semidirect
183. #10622407C22semidirect
184. #10622404C22semidirect
187. #10622397C22semidirect
188. #10622397C22semidirect
189. #10622392C22semidirect
190. #10622390C22semidirect
192. #10622388C22semidirect
195. #10622379C22semidirect
196. #10622379C22semidirect
197. #10622376C22semidirect
198. #10622374C22semidirect
695. #3250D11semidirect
847. #529C2×D11semidirect
891. #479C2×D11semidirect
892. #479C2×D11semidirect
910. #478C2×D11semidirect
911. #478C2×D11semidirect
919. #467C2×D11semidirect
929. #465C2×D11semidirect
931. #464C2×D11semidirect
932. #464C2×D11semidirect
936. #463C2×D11semidirect
937. #463C2×D11semidirect
977. C2×C4⋊C8C2×D11semidirect
1515. C11#62103semidirect

Maximal subgroups

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

subgroupindex
#130825822
#130822222
#130814942
#130814782
#130813072
#130812712
#130810212
#130810152
#130810052
#130810012
#130809922
#130809682
#130804732
#130804722
#130804582
#130804572
#130804352
#130804242
#130799662
#130799392
#130797882
#130797802
#130797512
#130786622
#130786592
#130786332
#130784032
C2×#106224602
D11×#4782
#130777252
C11×#32502
#6210311