Finite Group Databasebeta

← #15629367

Subgroups — #15629367

Order 2816.

3230 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66985C211yesmaximal, characteristic, complemented
2C2×D11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3#13082099C211yesmaximal, characteristic, complemented
4C2×D4×C22⋊D11C211yesmaximal, characteristic, complemented
5#13080310C212yesmaximal, complemented
6#13080286C212yesmaximal, complemented
7#13080234C212yesmaximal, complemented
8#13080214C212yesmaximal, complemented
9#13080115C212yesmaximal, complemented
10#13080109C212yesmaximal, complemented
11#13080100C212yesmaximal, complemented
12#13080094C212yesmaximal, complemented
13#13079064C211yesmaximal, characteristic, complemented
14#13078237C211yesmaximal, characteristic, complemented
15#13078233C211yesmaximal, characteristic, complemented
16#13078095C211yesmaximal, characteristic, complemented
17#13078077C211yesmaximal, characteristic, complemented
18#13077870C211yesmaximal, characteristic, complemented
19#13077864C211yesmaximal, characteristic, complemented
20#13077845C211yesmaximal, characteristic, complemented
21#13077420C211yesmaximal, characteristic, complemented
22#13077348C211yesmaximal, characteristic, complemented
23C11×#3003C211yesmaximal, characteristic, complemented
24C23×D4×C11C2211yescharacteristic, complemented
25C23×C22⋊D11—21no—
26C2×#41×D11C2211yescharacteristic, complemented
27C22×D4×D11C2211yescharacteristic, complemented
28C22×#4339C2211yescharacteristic, complemented
29C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
30C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
31C11×#525C2211yescharacteristic, complemented
32C2×#67006—21no—
33#10623363C2211yescharacteristic, complemented
34C2×#67002C2211yescharacteristic, complemented
35C2×#66993C2211yescharacteristic, complemented
36C2×#66992—21no—
37D4×C22⋊D11—21no—
38D4×C22⋊D11—21no—
39D4×C22⋊D11—21no—
40D4×C22⋊D11—21no—
41D4×C22⋊D11C2212yes—
42D4×C22⋊D11C2212yescomplemented
43D4×C22⋊D11C2212yescomplemented
44D4×C22⋊D11C2212yescomplemented
45C2×#66991C2211yescharacteristic, complemented
46C2×#66990—21no—
47C2×D4×Dic11C2211yescharacteristic, complemented
48C22×#4324C2212yescomplemented
49C2×#66985—28no—
50C2×#66985C2211yescharacteristic
51C2×#66985C2211yescharacteristic, complemented
52C2×#66985C2211yescharacteristic, complemented
53C2×#66985C2211yescharacteristic, complemented
54C2×#66985C2212yescomplemented
55C2×#66985C2212yescomplemented
56C22×#4323C2212yescomplemented
57C2×#66983C2211yescharacteristic, complemented
58C2×C4×C22⋊D11C2211yescharacteristic
59C22×#4318C2211yescharacteristic, complemented
60D11×AGL(1,ℤ/8)—28no—
61C2×#66967C2212yescomplemented
62C2×SD16×D11C2212yescomplemented
63C2×#66964C2212yescomplemented
64C2×D8×D11C2212yescomplemented
65C2×#66961C2211yescharacteristic, complemented
66C2×#66961C2211yescharacteristic, complemented
67C2×M16×D11C2211yescharacteristic, complemented
68#10623186—21no—
69#10623185—21no—
70#10623164C2211yescharacteristic, complemented
71#10623163C2211yescharacteristic, complemented
72#10623162C2211yescharacteristic, complemented
73#10623161C2211yescharacteristic, complemented
74#10623143C2211yescharacteristic, complemented
75#10623140C2211yescharacteristic, complemented
76#10623130C2211yescharacteristic, complemented
77#10623129C2211yescharacteristic, complemented
78#10623122—21no—
79#10623121—21no—
80#10623079—21no—
81#10623078—21no—
82#10623078—21no—
83C4×D4×D11—21no—
84#10623055C2211yescharacteristic, complemented
85#10623053C2211yescharacteristic, complemented
86C11×#450C2212yescomplemented
87C11×#450C2212yescomplemented
88C11×#447C2212yescomplemented
89C11×#447C2212yescomplemented
90C11×#418C2211yescharacteristic, complemented
91C11×#418C2211yescharacteristic, complemented
92C11×#407C2211yescharacteristic, complemented
93#10622845C2211yescharacteristic, complemented
94#10622789C2212yescomplemented
95#10622788C2212yescomplemented
96#10622785C2212yescomplemented
97#10622783C2212yescomplemented
98#10622778C2212yescomplemented
99#10622775C2212yescomplemented
100#10622771C2212yescomplemented
101#10622769C2212yescomplemented
102#10622767C2212yescomplemented
103#10622766C2212yescomplemented
104#10622764C2212yescomplemented
105#10622763C2212yescomplemented
106#10622746C2211yescharacteristic, complemented
107#10622746C2211yescharacteristic, complemented
108#10622739C2211yescharacteristic, complemented
109#10622731C2211yescharacteristic, complemented
110M16×Dic11C2211yescharacteristic, complemented
111#10622662C2212yescomplemented
112#10622661C2212yescomplemented
113#10622652C2212yescomplemented
114#10622651C2212yescomplemented
115#10622614C2211yescharacteristic, complemented
116#10622608C2211yescharacteristic, complemented
117#10622399C2212yescomplemented
118#10622399C2212yescomplemented
119#10622398C2212yescomplemented
120#10622395C2212yescomplemented
121#10622393C2212yescomplemented
122#10622391C2212yescomplemented
123#10622389C2212yescomplemented
124#10622389C2212yescomplemented
125#10622388C2212yescomplemented
126#10622386C2212yescomplemented
127#10622386C2212yescomplemented
128#10622375C2212yescomplemented
129#10622375C2212yescomplemented
130#10622371C2212yescomplemented
131#10622370C2212yescomplemented
132#10622369C2212yescomplemented
133#10622351C2212yescomplemented
134#10622347C2212yescomplemented
135#10622347C2212yescomplemented
136#10622345C2212yescomplemented
137#10622343C2212yescomplemented
138#10622342C2212yescomplemented
139#10622341C2212yescomplemented
140(C22⋊D11)⋊C8C2212yescomplemented
141C25×C11—21no—
142C24×D11—21no—
143C2×C11×#41C2311yescharacteristic
144C22×D4×C11—24no—
145C22×D4×C11—21no—
146C22×D4×C11—21no—
147C22×D4×C11—21no—
148C22×D4×C11—42no—
149C22×D4×C11C2311yescharacteristic
150C22×D4×C11C2312yes—
151C22×D4×C11C2312yes—
152C22×D4×C11C2311yescharacteristic
153C23×C4×C11C2311yescharacteristic
154C22×C22⋊D11—21no—
155C22×C22⋊D11—21no—
156C22×C22⋊D11—21no—
157C22×C22⋊D11—22no—
158C22×C22⋊D11—22no—
159C22×C22⋊D11—22no—
160C22×C22⋊D11—22no—
161C22×C22⋊D11—21no—
162C22×C22⋊D11—21no—
163C22×C22⋊D11—21no—
164C22×C22⋊D11—48no—
165C22×C22⋊D11D411yescharacteristic
166C23×Dic11—21no—
167#41×D11—24no—
168#41×D11—42no—
169C2×#4343C2311yescharacteristic, complemented
170C2×Q8×D11C2311yescharacteristic, complemented
171C2×#4341—21no—
172C2×#4341C2311yescharacteristic, complemented
173C2×D4×D11—24no—
174C2×D4×D11—21no—
175C2×D4×D11—21no—
176C2×D4×D11—21no—
177C2×D4×D11—21no—
178C2×D4×D11—42no—
179C2×D4×D11C2312yes—
180C2×D4×D11C2312yes—
181C2×D4×D11C2311yescharacteristic, complemented
182C2×#4339—21no—
183C2×#4339—21no—
184C2×#4339—21no—
185C2×#4339—24no—
186C2×#4339—42no—
187C2×#4339C2311yescharacteristic
188C2×#4339C2311yescharacteristic
189C2×#4339C2311yescharacteristic, complemented
190C2×#4339C2311yescharacteristic, complemented
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic, complemented
193C22×C4×D11—21no—
194C22×C4×D11—21no—
195C22×C4×D11C2311yescharacteristic
196C22×Dic22C2311yescharacteristic, complemented
197C11×AGL(1,ℤ/8)—24no—
198C11×AGL(1,ℤ/8)—42no—
199C2×C11×SD16C2312yes—
200C2×C11×SD16C2312yescomplemented
201C2×C11×D8C2312yes—
202C2×C11×D8C2312yescomplemented
203C2×C11×M16C2311yescharacteristic
204C2×C11×M16C2311yescharacteristic
205C11×#123—21no—
206C11×C22⋊Q8C2311yescharacteristic, complemented
207C11×C22⋊Q8C2311yescharacteristic, complemented
208C11×#121C2311yescharacteristic, complemented
209C11×#121C2311yescharacteristic, complemented
210C11×#120—21no—
211C4×D4×C11—21no—
212C4×D4×C11—21no—
213C11×#117C2311yescharacteristic
214#67006—22no—
215#67006—22no—
216#67006—22no—
217#67006—22no—
218C2×C22⋊Dic11—21no—
219C2×C22⋊Dic11—21no—
220C2×C22⋊Dic11D411yescharacteristic
221#67002—24no—
222#67000C2311yescharacteristic, complemented
223#66997C2311yescharacteristic, complemented
224C2×#4325C2312yescomplemented
225#66993—21no—
226#66993—21no—
227#66993—21no—
228#66993C2312yes—
229#66993C2312yes—
230#66993C2311yescharacteristic, complemented
231#66992—21no—
232#66992—21no—
233#66992—21no—
234#66992—21no—
235#66992—22no—
236#66992—22no—
237#66992—22no—
238#66992—22no—
239#66991—21no—
240#66991—21no—
241#66991—21no—
242#66991C2312yes—
243#66991C2312yes—
244#66990—21no—
245#66990—21no—
246#66990—22no—
247#66990—22no—
248#66990—22no—
249#66990—22no—
250#66989C2311yescharacteristic, complemented
251D4×Dic11—21no—
252D4×Dic11—21no—
253D4×Dic11—21no—
254D4×Dic11C2312yes—
255D4×Dic11C2312yes—
256C2×#4324—28no—
257C2×#4324C2312yes—
258C2×#4324C2312yes—
259C2×#4324C2312yescomplemented
260C2×#4324C2312yescomplemented
261#66985—24no—
262#66985—24no—
263#66985—28no—
264#66985—28no—
265#66985—24no—
266#66985D418yescomplemented
267C2×#4323—28no—
268C2×#4323C2312yes—
269C2×#4323C2312yes—
270C2×#4323C2312yescomplemented
271C2×#4323C2312yescomplemented
272C2×#4323C2312yescomplemented
273#66983—21no—
274#66983—21no—
275#66983C2312yes—
276#66983C2312yes—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11D411yescharacteristic
280C4×C22⋊D11D411yescharacteristic
281C4×C22⋊D11D411yescharacteristic
282C4×C22⋊D11D411yescharacteristic
283C4×C22⋊D11C2311yescharacteristic
284C4×C22⋊D11C2311yescharacteristic
285C4×C22⋊D11C2311yescharacteristic
286C4×C22⋊D11C2311yescharacteristic
287C2×(C2×D11)⋊C4—21no—
288C2×(C2×D11)⋊C4D411yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×Dic11⋊C4D411yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×#4318—24no—
293C2×#4318C2311yescharacteristic
294C2×#4318C2311yescharacteristic
295C2×#4318C2312yescomplemented
296C22×C11⋊C8C2312yescomplemented
297#66967—28no—
298SD16×D11—28no—
299#66964—28no—
300D8×D11—28no—
301#66961—24no—
302#66961—42no—
303M16×D11—24no—
304C2×D88C2312yescomplemented
305C2×D88C2312yescomplemented
306C2×#4314C2312yescomplemented
307C2×#4314C2312yescomplemented
308C2×#4313C2312yescomplemented
309C2×C8×D11C2312yescomplemented
310#66950C2311yescharacteristic, complemented
311#66950C2311yescharacteristic, complemented
312#66949—21no—
313#66949—21no—
314#66948—21no—
315#66948C2311yescharacteristic, complemented
316#66948C2311yescharacteristic, complemented
317#66947—21no—
318#66947—21no—
319#66946—21no—
320#66946C2311yescharacteristic, complemented
321#66946C2311yescharacteristic, complemented
322C4⋊C4×D11—21no—
323#66941—21no—
324#66940C2311yescharacteristic, complemented
325#66940C2311yescharacteristic, complemented
326#66939—21no—
327#66938—21no—
328#66938—21no—
329#66937—21no—
330#66937—21no—
331#66937—21no—
332#66937—21no—
333#66936—21no—
334#66936—21no—
335#66935—21no—
336#66935—21no—
337#66935—21no—
338(C22⋊D11)⋊C4—21no—
339(C22⋊D11)⋊C4—21no—
340(C22⋊D11)⋊C4—21no—
341(C22⋊D11)⋊C4—21no—
342C22⋊C4×D11—21no—
343C22⋊C4×D11—21no—
344#66931—21no—
345#66931—21no—
346C4×D44—21no—
347C4×D44—21no—
348#66925—21no—
349C42×D11—21no—
350C11×#102C2312yes—
351C11×#102C2312yes—
352C11×#102C2312yescomplemented
353C11×#102C2312yescomplemented
354C11×C22⋊C8C2312yescomplemented
355C11×C22⋊C8C2312yescomplemented
356#66899C2312yescomplemented
357#66896C2312yescomplemented
358#66885C2312yescomplemented
359#66885C2312yescomplemented
360(C2×D11)⋊C8C2312yescomplemented
361(C2×D11)⋊C8C2312yescomplemented
362#66880C2312yescomplemented
363#66880C2312yescomplemented
364#66879C2312yescomplemented
365Dic11⋊C8C2312yescomplemented
366Dic11⋊C8C2312yescomplemented
367C8×Dic11C2312yescomplemented
368#66873C2312yescomplemented
369#66873C2312yescomplemented
370#66872C2312yescomplemented
371#66871C2312yescomplemented
372D4×AGL(1,ℤ/8)—111nomaximal, Sylow
373C24×C11—21no—
374C24×C11—21no—
375C24×C11—22no—
376C24×C11—22no—
377C24×C11—44no—
378C24×C11—44no—
379C24×C11—82no—
380C24×C11C2×D411yescharacteristic
381C23×D11—21no—
382C23×D11—21no—
383C23×D11—21no—
384C23×D11—22no—
385C23×D11—22no—
386C23×D11—44no—
387C23×D11—44no—
388C23×D11—82no—
389C23×D11C2×D411yescharacteristic
390C11×#41—22no—
391C11×#41—22no—
392C2×Q8×C11C2411yescharacteristic
393C2×D4×C11—24no—
394C2×D4×C11—24no—
395C2×D4×C11—21no—
396C2×D4×C11—21no—
397C2×D4×C11—21no—
398C2×D4×C11—21no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—21no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—42no—
406C2×D4×C11—42no—
407C2×D4×C11—44no—
408C2×D4×C11—44no—
409C2×D4×C11—44no—
410C2×D4×C11C2×D414yescomplemented
411C2×D4×C11C2411yescharacteristic
412C2×D4×C11C2412yes—
413C2×D4×C11C2412yes—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—21no—
417C22×C4×C11C2×D411yescharacteristic
418C22×C4×C11C2×D411yescharacteristic
419C22×C4×C11C2×D411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—24no—
424C2×C22⋊D11—21no—
425C2×C22⋊D11—21no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—21no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—21no—
434C2×C22⋊D11—21no—
435C2×C22⋊D11—21no—
436C2×C22⋊D11—21no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—21no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—44no—
443C2×C22⋊D11—44no—
444C2×C22⋊D11—44no—
445C2×C22⋊D11—44no—
446C2×C22⋊D11—44no—
447C2×C22⋊D11—48no—
448C2×C22⋊D11—48no—
449C2×C22⋊D11—48no—
450C2×C22⋊D11—48no—
451C2×C22⋊D11—82no—
452C2×C22⋊D11C2×D411yescharacteristic
453C2×C22⋊D11C2×D411yescharacteristic
454C2×C22⋊D11C2×D411yescharacteristic
455C2×C22⋊D11C2×D411yescharacteristic
456C22×Dic11—21no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—21no—
460C22×Dic11—21no—
461C22×Dic11—44no—
462C22×Dic11C2×D411yescharacteristic
463C22×Dic11C2×D411yescharacteristic
464C22×Dic11C2×D411yescharacteristic
465#4343—22no—
466#4343—41no—
467Q8×D11—22no—
468Q8×D11—41no—
469#4341—22no—
470#4341—41no—
471#4341—44no—
472D4×D11—22no—
473D4×D11—24no—
474D4×D11—24no—
475D4×D11—42no—
476D4×D11—42no—
477D4×D11—41no—
478D4×D11—44no—
479D4×D11—44no—
480D4×D11—44no—
481D4×D11—44no—
482#4339—22no—
483#4339—22no—
484#4339—22no—
485#4339—22no—
486#4339—22no—
487#4339—41no—
488#4339—41no—
489#4339—44no—
490#4339—44no—
491#4339—44no—
492#4339C2×D414yescomplemented
493C2×D44—21no—
494C2×D44—21no—
495C2×D44—21no—
496C2×D44—22no—
497C2×D44—21no—
498C2×D44—21no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—41no—
502C2×D44C2412yes—
503C2×D44C2411yescharacteristic
504C2×D44C2411yescharacteristic
505C2×C4×D11—21no—
506C2×C4×D11—21no—
507C2×C4×D11—21no—
508C2×C4×D11—21no—
509C2×C4×D11—21no—
510C2×C4×D11—22no—
511C2×C4×D11—21no—
512C2×C4×D11—21no—
513C2×C4×D11—21no—
514C2×C4×D11—22no—
515C2×C4×D11—44no—
516C2×C4×D11—44no—
517C2×C4×D11C2×D411yescharacteristic
518C2×C4×D11C2×D411yescharacteristic
519C2×C4×D11C2411yescharacteristic
520C2×C4×D11C2411yescharacteristic
521C2×Dic22—22no—
522C2×Dic22—21no—
523C2×Dic22—21no—
524C2×Dic22—41no—
525C2×Dic22C2411yescharacteristic
526C2×Dic22C2411yescharacteristic
527C11×SD16—24no—
528C11×SD16—42no—
529C11×D8—24no—
530C11×D8—42no—
531C11×M16—22no—
532C11×M16—22no—
533C2×C8×C11C2412yes—
534C2×C8×C11C2412yes—
535C11×C4⋊C4—21no—
536C11×C4⋊C4—21no—
537C11×C4⋊C4C2411yescharacteristic
538C11×C4⋊C4C2411yescharacteristic
539C11×C22⋊C4—21no—
540C11×C22⋊C4—21no—
541C11×C22⋊C4—21no—
542C11×C22⋊C4—21no—
543C11×C22⋊C4—21no—
544C42×C11—21no—
545C22⋊Dic11—21no—
546C22⋊Dic11—21no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11C2×D411yescharacteristic
552C22⋊Dic11C2×D411yescharacteristic
553C22⋊Dic11C2×D411yescharacteristic
554C22⋊Dic11C2×D411yescharacteristic
555#4325—24no—
556#4324—24no—
557#4324—24no—
558#4324—24no—
559#4324C2×D418yescomplemented
560#4323—24no—
561#4323—24no—
562#4323—24no—
563#4323—24no—
564#4323C2×D418yescomplemented
565(C2×D11)⋊C4—21no—
566(C2×D11)⋊C4—21no—
567(C2×D11)⋊C4—21no—
568(C2×D11)⋊C4—21no—
569(C2×D11)⋊C4—21no—
570(C2×D11)⋊C4—21no—
571(C2×D11)⋊C4—21no—
572(C2×D11)⋊C4—21no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4C2×D411yescharacteristic
576(C2×D11)⋊C4C2×D411yescharacteristic
577(C2×D11)⋊C4C2×D411yescharacteristic
578(C2×D11)⋊C4C2×D411yescharacteristic
579C4⋊Dic11—21no—
580C4⋊Dic11—21no—
581C4⋊Dic11—21no—
582C4⋊Dic11C2412yes—
583Dic11⋊C4—21no—
584Dic11⋊C4—21no—
585Dic11⋊C4—21no—
586Dic11⋊C4—21no—
587Dic11⋊C4C2×D411yescharacteristic
588Dic11⋊C4C2×D411yescharacteristic
589Dic11⋊C4C2×D411yescharacteristic
590Dic11⋊C4C2×D411yescharacteristic
591C4×Dic11—21no—
592C4×Dic11—21no—
593C4×Dic11C2×D411yescharacteristic
594C4×Dic11C2×D411yescharacteristic
595C4×Dic11C2411yescharacteristic
596C4×Dic11C2411yescharacteristic
597#4318—24no—
598#4318—22no—
599#4318C2×D414yescomplemented
600C2×C11⋊C8—24no—
601C2×C11⋊C8C2412yes—
602C2×C11⋊C8C2412yes—
603D88—24no—
604D88—42no—
605#4314—24no—
606#4314—42no—
607#4313—24no—
608C8×D11—24no—
609C22×AGL(1,ℤ/8)—111no—
610C22×AGL(1,ℤ/8)—111no—
611D4×#41—111no—
612C2×D42—111no—
613D4×SD16—112no—
614D4×D8—112no—
615#3274—112no—
616#3272—112no—
617#3265—112no—
618#3265—112no—
619#3264—112no—
620#3264—112no—
621#3151—111no—
622#3055—111no—
623#3055—111no—
624#3038—111no—
625#3036—111no—
626#3006—111no—
627#3006—111no—
628#3003—111no—
629#3003D1111yescharacteristic, complemented
630C4×AGL(1,ℤ/8)—111no—
631D4×M16—111no—
632C23×C11—22no—
633C23×C11—24no—
634C23×C11—22no—
635C23×C11—22no—
636C23×C11—21no—
637C23×C11—22no—
638C23×C11—41no—
639C23×C11—44no—
640C23×C11—44no—
641C23×C11—42no—
642C23×C11—42no—
643C23×C11—42no—
644C23×C11—44no—
645C23×C11—42no—
646C23×C11—42no—
647C23×C11—44no—
648C23×C11—82no—
649C23×C11—82no—
650C23×C11—816no—
651C23×C11C22×D411yescharacteristic
652C23×C11C22×D411yescharacteristic
653C23×C11C22×D411yescharacteristic
654C22×D11—22no—
655C22×D11—21no—
656C22×D11—22no—
657C22×D11—21no—
658C22×D11—22no—
659C22×D11—41no—
660C22×D11—42no—
661C22×D11—42no—
662C22×D11—44no—
663C22×D11—44no—
664C22×D11—44no—
665C22×D11—42no—
666C22×D11—42no—
667C22×D11—42no—
668C22×D11—42no—
669C22×D11—42no—
670C22×D11—44no—
671C22×D11—81no—
672C22×D11—82no—
673C22×D11—82no—
674C22×D11—81no—
675C22×D11—816no—
676C22×D11C22×D411yescharacteristic
677C22×D11C22×D411yescharacteristic
678Q8×C11—21no—
679Q8×C11—21no—
680D4×C11—24no—
681D4×C11—22no—
682D4×C11—21no—
683D4×C11—22no—
684D4×C11—21no—
685D4×C11—22no—
686D4×C11—44no—
687D4×C11—44no—
688D4×C11—42no—
689D4×C11—42no—
690D4×C11—42no—
691D4×C11—81no—
692D4×C11C22×D414yes—
693C2×C4×C11—22no—
694C2×C4×C11—22no—
695C2×C4×C11—22no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—42no—
704C2×C4×C11C22×D411yescharacteristic
705C2×C4×C11C22×D411yescharacteristic
706C2×C4×C11C22×D411yescharacteristic
707C2×C4×C11C22×D412yes—
708C2×C4×C11H(5,𝔽2)12yes—
709C2×C4×C11C2511yescharacteristic
710C22⋊D11—24no—
711C22⋊D11—22no—
712C22⋊D11—22no—
713C22⋊D11—22no—
714C22⋊D11—42no—
715C22⋊D11—42no—
716C22⋊D11—42no—
717C22⋊D11—44no—
718C22⋊D11—44no—
719C22⋊D11—44no—
720C22⋊D11—42no—
721C22⋊D11—44no—
722C22⋊D11—44no—
723C22⋊D11—42no—
724C22⋊D11—44no—
725C22⋊D11—44no—
726C22⋊D11—42no—
727C22⋊D11—44no—
728C22⋊D11—81no—
729C22⋊D11—82no—
730C22⋊D11—82no—
731C22⋊D11AGL(1,ℤ/8)14yescomplemented
732C2×Dic11—22no—
733C2×Dic11—21no—
734C2×Dic11—22no—
735C2×Dic11—21no—
736C2×Dic11—22no—
737C2×Dic11—41no—
738C2×Dic11—42no—
739C2×Dic11—42no—
740C2×Dic11—44no—
741C2×Dic11—42no—
742C2×Dic11—44no—
743C2×Dic11C22×D411yescharacteristic
744C2×Dic11C22×D411yescharacteristic
745C2×Dic11C22×D411yescharacteristic
746C2×Dic11C22×D411yescharacteristic
747C2×Dic11C22×D411yescharacteristic
748C2×Dic11C22×D411yescharacteristic
749D44—22no—
750D44—21no—
751D44—21no—
752D44—22no—
753D44—21no—
754D44—42no—
755D44—42no—
756D44—42no—
757D44—42no—
758D44—81no—
759D44C22×D412yescomplemented
760C4×D11—22no—
761C4×D11—22no—
762C4×D11—24no—
763C4×D11—21no—
764C4×D11—21no—
765C4×D11—21no—
766C4×D11—21no—
767C4×D11—42no—
768C4×D11—42no—
769C4×D11—42no—
770C4×D11—42no—
771C4×D11—42no—
772C4×D11—42no—
773C4×D11—81no—
774Dic22—21no—
775Dic22—21no—
776Dic22—21no—
777Dic22—42no—
778Dic22—42no—
779Dic22C22×D412yescomplemented
780C8×C11—22no—
781C8×C11—22no—
782C11⋊C8—22no—
783C11⋊C8C22×D414yescomplemented
784C22×#41—111no—
785C22×#41—111no—
786C23×D4—111no—
787C23×D4—221no—
788C23×D4C2×D1111yescharacteristic, complemented
789C2×AGL(1,ℤ/8)—111no—
790C2×AGL(1,ℤ/8)—111no—
791C2×AGL(1,ℤ/8)—111no—
792C2×AGL(1,ℤ/8)—111no—
793C2×AGL(1,ℤ/8)—111no—
794C2×AGL(1,ℤ/8)—112no—
795C2×AGL(1,ℤ/8)—112no—
796C2×AGL(1,ℤ/8)—112no—
797C2×AGL(1,ℤ/8)—112no—
798C2×AGL(1,ℤ/8)—111no—
799C2×AGL(1,ℤ/8)—111no—
800C2×AGL(1,ℤ/8)—228no—
801C2×AGL(1,ℤ/8)—228no—
802C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
803C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
804C22×SD16—112no—
805C22×SD16—112no—
806C22×D8—112no—
807C22×D8—112no—
808C22×M16—111no—
809C22×M16—111no—
810#550—111no—
811D4×Q8—111no—
812#548—111no—
813#548—111no—
814#547—111no—
815#547—221no—
816#546—111no—
817#546—111no—
818#546—221no—
819#546—221no—
820D42—112no—
821D42—112no—
822D42—112no—
823D42—112no—
824D42—111no—
825D42—221no—
826D42—221no—
827D42—221no—
828D42—221no—
829D42—221no—
830#532—111no—
831#532—221no—
832C2×#127—111no—
833#525—111no—
834#525—221no—
835#525—221no—
836#525C2×D1111yescharacteristic, complemented
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—221no—
840C2×#120—221no—
841C2×#120—221no—
842C4×#41—111no—
843C2×C4×D4—111no—
844C2×C4×D4—111no—
845C2×C4×D4—221no—
846#496—112no—
847#496—112no—
848#493—112no—
849#492—112no—
850#469—112no—
851#469—112no—
852#468—112no—
853#468—112no—
854#466—112no—
855#466—112no—
856#465—112no—
857#465—112no—
858#463—112no—
859#463—112no—
860#461—112no—
861#460—112no—
862#460—112no—
863#459—112no—
864#459—112no—
865#459—112no—
866#450—112no—
867#450—112no—
868#450C2×D1112yescomplemented
869#450C2×D1112yescomplemented
870#449—112no—
871#449—112no—
872#449—112no—
873#449—112no—
874#448—112no—
875#448—112no—
876#447—112no—
877#447—112no—
878#447—112no—
879#447—112no—
880#447C2×D1112yescomplemented
881#447C2×D1112yescomplemented
882#442—112no—
883#440—112no—
884C4×SD16—112no—
885C4×D8—112no—
886#436—112no—
887#435—112no—
888#435—112no—
889C8×D4—112no—
890#428—111no—
891#423—111no—
892#418—111no—
893#418C2×D1111yescharacteristic, complemented
894#418C2×D1111yescharacteristic, complemented
895#417—111no—
896#417—111no—
897#417—111no—
898#407—111no—
899#407C2×D1111yescharacteristic, complemented
900C4×M16—111no—
901C22×C11—21no—
902C22×C11—21no—
903C22×C11—21no—
904C22×C11—21no—
905C22×C11—21no—
906C22×C11—21no—
907C22×C11—24no—
908C22×C11—21no—
909C22×C11—44no—
910C22×C11—48no—
911C22×C11—42no—
912C22×C11—42no—
913C22×C11—41no—
914C22×C11—42no—
915C22×C11—41no—
916C22×C11—42no—
917C22×C11—41no—
918C22×C11—42no—
919C22×C11—88no—
920C22×C11—84no—
921C22×C11—88no—
922C22×C11D4212yes—
923C22×C11C2×AGL(1,ℤ/8)12yescomplemented
924C22×C11C23×D411yescharacteristic
925C2×D11—21no—
926C2×D11—21no—
927C2×D11—21no—
928C2×D11—21no—
929C2×D11—22no—
930C2×D11—21no—
931C2×D11—44no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—42no—
935C2×D11—41no—
936C2×D11—42no—
937C2×D11—41no—
938C2×D11—42no—
939C2×D11—41no—
940C2×D11—84no—
941C2×D11—88no—
942C2×D11—84no—
943C2×D11—88no—
944C2×D11—84no—
945C2×D11C2×AGL(1,ℤ/8)12yescomplemented
946C4×C11—21no—
947C4×C11—21no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11D4212yes—
952C4×C11C23×D411yescharacteristic
953C4×C11C2×H(5,𝔽2)11yescharacteristic
954Dic11—21no—
955Dic11—21no—
956Dic11—22no—
957Dic11—21no—
958Dic11—21no—
959Dic11—21no—
960Dic11—41no—
961Dic11—42no—
962Dic11C2×AGL(1,ℤ/8)12yescomplemented
963C25—21no—
964C25—221no—
965C2×#41—111no—
966C2×#41—111no—
967C2×#41—111no—
968C2×#41—111no—
969C2×#41—111no—
970C2×#41—111no—
971C2×#41—221no—
972C2×#41—224no—
973C2×#41—221no—
974C2×#41—221no—
975C2×#41—221no—
976C2×#41—224no—
977C2×#41—442no—
978C2×#41—442no—
979C2×#41C22×D1111yescharacteristic
980C22×Q8—111no—
981C22×Q8—111no—
982C22×D4—24no—
983C22×D4—21no—
984C22×D4—21no—
985C22×D4—21no—
986C22×D4—42no—
987C22×D4—111no—
988C22×D4—112no—
989C22×D4—112no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—221no—
994C22×D4—221no—
995C22×D4—221no—
996C22×D4—221no—
997C22×D4—221no—
998C22×D4—221no—
999C22×D4—221no—
1000C22×D4—222no—
1001C22×D4—222no—
1002C22×D4—222no—
1003C22×D4—222no—
1004C22×D4—224no—
1005C22×D4—221no—
1006C22×D4—221no—
1007C22×D4—221no—
1008C22×D4—442no—
1009C22×D4—448no—
1010C22×D4C22×D1111yescharacteristic
1011C22×D4C22×D1112yes—
1012C22×D4C22×D1112yes—
1013C22×D4C22×D1111yescharacteristic
1014C23×C4—111no—
1015C23×C4—221no—
1016C23×C4—221no—
1017C23×C4—221no—
1018C23×C4C22×D1111yescharacteristic
1019AGL(1,ℤ/8)—24no—
1020AGL(1,ℤ/8)—42no—
1021AGL(1,ℤ/8)—118no—
1022AGL(1,ℤ/8)—224no—
1023AGL(1,ℤ/8)—224no—
1024AGL(1,ℤ/8)—224no—
1025AGL(1,ℤ/8)—228no—
1026AGL(1,ℤ/8)—228no—
1027AGL(1,ℤ/8)—228no—
1028AGL(1,ℤ/8)—228no—
1029AGL(1,ℤ/8)—224no—
1030AGL(1,ℤ/8)—224no—
1031AGL(1,ℤ/8)—442no—
1032C2×SD16—112no—
1033C2×SD16—112no—
1034C2×SD16—112no—
1035C2×SD16—112no—
1036C2×SD16—112no—
1037C2×SD16—112no—
1038C2×SD16—112no—
1039C2×SD16—228no—
1040C2×SD16—228no—
1041C2×SD16C22×D1112yes—
1042C2×SD16C22×D1112yescomplemented
1043C2×D8—112no—
1044C2×D8—112no—
1045C2×D8—112no—
1046C2×D8—112no—
1047C2×D8—112no—
1048C2×D8—112no—
1049C2×D8—112no—
1050C2×D8—228no—
1051C2×D8—228no—
1052C2×D8C22×D1112yes—
1053C2×D8C22×D1112yescomplemented
1054C2×M16—111no—
1055C2×M16—111no—
1056C2×M16—112no—
1057C2×M16—112no—
1058C2×M16—224no—
1059C2×M16—224no—
1060C2×M16C22×D1111yescharacteristic
1061C2×M16C22×D1111yescharacteristic
1062C22×C8—112no—
1063C22×C8—112no—
1064C4⋊Q8—111no—
1065C4⋊Q8—221no—
1066#127—112no—
1067#127—112no—
1068#127—111no—
1069#127—221no—
1070#127—221no—
1071#127—221no—
1072#124—111no—
1073#124—111no—
1074#124—221no—
1075#124—221no—
1076#123—21no—
1077#123—221no—
1078#123—221no—
1079#123—221no—
1080#123—221no—
1081#123—221no—
1082C22⋊Q8—111no—
1083C22⋊Q8—111no—
1084C22⋊Q8—221no—
1085C22⋊Q8—221no—
1086C22⋊Q8—221no—
1087C22⋊Q8—221no—
1088C22⋊Q8C22×D1111yescharacteristic, complemented
1089C22⋊Q8C22×D1111yescharacteristic, complemented
1090#121—112no—
1091#121—112no—
1092#121—112no—
1093#121—112no—
1094#121—111no—
1095#121—111no—
1096#121—221no—
1097#121—221no—
1098#121—221no—
1099#121—221no—
1100#121—221no—
1101#121—221no—
1102#121—221no—
1103#121—222no—
1104#121—222no—
1105#121—222no—
1106#121—222no—
1107#121—221no—
1108#121—221no—
1109#121—221no—
1110#121—221no—
1111#121—221no—
1112#121—221no—
1113#121—221no—
1114#121C22×D1111yescharacteristic, complemented
1115#121C22×D1111yescharacteristic, complemented
1116#120—21no—
1117#120—221no—
1118#120—221no—
1119#120—221no—
1120#120—222no—
1121#120—222no—
1122#120—222no—
1123#120—222no—
1124#120—221no—
1125#120—222no—
1126#120—222no—
1127#120—222no—
1128#120—222no—
1129#120—221no—
1130C4×Q8—111no—
1131C4×Q8—111no—
1132C4×D4—21no—
1133C4×D4—21no—
1134C4×D4—111no—
1135C4×D4—111no—
1136C4×D4—111no—
1137C4×D4—111no—
1138C4×D4—111no—
1139C4×D4—111no—
1140C4×D4—111no—
1141C4×D4—111no—
1142C4×D4—112no—
1143C4×D4—112no—
1144C4×D4—111no—
1145C4×D4—111no—
1146C4×D4—221no—
1147C4×D4—221no—
1148C4×D4—221no—
1149C4×D4—221no—
1150C4×D4—221no—
1151C4×D4—221no—
1152C4×D4—221no—
1153C4×D4—221no—
1154C4×D4—221no—
1155C4×D4—221no—
1156C4×D4—221no—
1157C4×D4—221no—
1158#117—221no—
1159#117C22×D1111yescharacteristic
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—221no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—221no—
1166C2×C22⋊C4—221no—
1167C2×C22⋊C4—221no—
1168C2×C22⋊C4—221no—
1169C2×C22⋊C4—221no—
1170C2×C42—111no—
1171C2×C42—221no—
1172#107—112no—
1173#106—112no—
1174C4⋊C8—112no—
1175C4⋊C8—112no—
1176#103—112no—
1177#103—112no—
1178#103—112no—
1179#102—112no—
1180#102—112no—
1181#102—112no—
1182#102—112no—
1183#102—112no—
1184#102C22×D1112yes—
1185#102C22×D1112yes—
1186#102C22×D1112yescomplemented
1187#102C22×D1112yescomplemented
1188C22⋊C8—112no—
1189C22⋊C8—112no—
1190C22⋊C8C22×D1112yescomplemented
1191C22⋊C8C22×D1112yescomplemented
1192#97—112no—
1193C4×C8—112no—
1194C2×C11—22no—
1195C2×C11—22no—
1196C2×C11—44no—
1197C2×C11—41no—
1198C2×C11—81no—
1199C2×C11—82no—
1200C2×C11C2×D4211yescharacteristic
1201C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1202C2×C11#358511yescharacteristic
1203D11—22no—
1204D11—41no—
1205D11—42no—
1206D11—81no—
1207D11—82no—
1208C24—21no—
1209C24—21no—
1210C24—22no—
1211C24—22no—
1212C24—44no—
1213C24—44no—
1214C24—82no—
1215C24—111no—
1216C24—221no—
1217C24—222no—
1218C24—222no—
1219C24—221no—
1220C24—221no—
1221C24—444no—
1222C24—444no—
1223C24—882no—
1224C24D4×D1111yescharacteristic
1225#41—22no—
1226#41—22no—
1227#41—114no—
1228#41—222no—
1229#41—222no—
1230#41—222no—
1231#41—222no—
1232#41—222no—
1233#41—222no—
1234#41—222no—
1235#41—444no—
1236#41—441no—
1237#41—441no—
1238#41—444no—
1239#41—444no—
1240#41—441no—
1241#41—444no—
1242#41—441no—
1243C2×Q8—111no—
1244C2×Q8—111no—
1245C2×Q8—221no—
1246C2×Q8—222no—
1247C2×Q8—221no—
1248C2×Q8—222no—
1249C2×Q8—441no—
1250C2×Q8—441no—
1251C2×Q8C23×D1111yescharacteristic
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—21no—
1255C2×D4—21no—
1256C2×D4—21no—
1257C2×D4—21no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—21no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—111no—
1270C2×D4—111no—
1271C2×D4—111no—
1272C2×D4—111no—
1273C2×D4—111no—
1274C2×D4—111no—
1275C2×D4—112no—
1276C2×D4—222no—
1277C2×D4—221no—
1278C2×D4—221no—
1279C2×D4—221no—
1280C2×D4—221no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—221no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—221no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—224no—
1291C2×D4—221no—
1292C2×D4—224no—
1293C2×D4—224no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—221no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—221no—
1300C2×D4—221no—
1301C2×D4—221no—
1302C2×D4—222no—
1303C2×D4—221no—
1304C2×D4—221no—
1305C2×D4—222no—
1306C2×D4—441no—
1307C2×D4—442no—
1308C2×D4—442no—
1309C2×D4—441no—
1310C2×D4—444no—
1311C2×D4—444no—
1312C2×D4—444no—
1313C2×D4—444no—
1314C2×D4—444no—
1315C2×D4—444no—
1316C2×D4—448no—
1317C2×D4—444no—
1318C2×D4—448no—
1319C2×D4—448no—
1320C2×D4—448no—
1321C2×D4—444no—
1322C2×D4—444no—
1323C2×D4—882no—
1324C2×D4D4×D1114yescomplemented
1325C2×D4C23×D1111yescharacteristic
1326C2×D4C23×D1112yes—
1327C2×D4C23×D1112yes—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—21no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—111no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—111no—
1337C22×C4—111no—
1338C22×C4—221no—
1339C22×C4—221no—
1340C22×C4—221no—
1341C22×C4—221no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—221no—
1345C22×C4—221no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—221no—
1349C22×C4—221no—
1350C22×C4—221no—
1351C22×C4—221no—
1352C22×C4—221no—
1353C22×C4—444no—
1354C22×C4—444no—
1355C22×C4—444no—
1356C22×C4D4×D1111yescharacteristic
1357C22×C4D4×D1111yescharacteristic
1358C22×C4D4×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362SD16—24no—
1363SD16—42no—
1364SD16—118no—
1365SD16—224no—
1366SD16—224no—
1367SD16—224no—
1368SD16—224no—
1369SD16—224no—
1370SD16—442no—
1371D8—24no—
1372D8—42no—
1373D8—118no—
1374D8—224no—
1375D8—224no—
1376D8—224no—
1377D8—224no—
1378D8—224no—
1379D8—442no—
1380M16—22no—
1381M16—22no—
1382M16—114no—
1383M16—224no—
1384M16—224no—
1385M16—222no—
1386C2×C8—112no—
1387C2×C8—112no—
1388C2×C8—224no—
1389C2×C8—224no—
1390C2×C8C23×D1112yes—
1391C2×C8C23×D1112yes—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—111no—
1395C4⋊C4—111no—
1396C4⋊C4—111no—
1397C4⋊C4—111no—
1398C4⋊C4—112no—
1399C4⋊C4—221no—
1400C4⋊C4—221no—
1401C4⋊C4—221no—
1402C4⋊C4—221no—
1403C4⋊C4—221no—
1404C4⋊C4—221no—
1405C4⋊C4—221no—
1406C4⋊C4C23×D1111yescharacteristic
1407C4⋊C4C23×D1111yescharacteristic
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—21no—
1412C22⋊C4—21no—
1413C22⋊C4—111no—
1414C22⋊C4—111no—
1415C22⋊C4—111no—
1416C22⋊C4—111no—
1417C22⋊C4—111no—
1418C22⋊C4—111no—
1419C22⋊C4—111no—
1420C22⋊C4—111no—
1421C22⋊C4—221no—
1422C22⋊C4—221no—
1423C22⋊C4—221no—
1424C22⋊C4—221no—
1425C22⋊C4—221no—
1426C22⋊C4—221no—
1427C22⋊C4—221no—
1428C22⋊C4—221no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—221no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—221no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C42—21no—
1438C42—111no—
1439C42—111no—
1440C42—111no—
1441C42—111no—
1442C42—221no—
1443C42—221no—
1444C11D4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
1445C23—22no—
1446C23—22no—
1447C23—24no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—41no—
1452C23—44no—
1453C23—44no—
1454C23—42no—
1455C23—42no—
1456C23—42no—
1457C23—44no—
1458C23—42no—
1459C23—44no—
1460C23—42no—
1461C23—82no—
1462C23—82no—
1463C23—816no—
1464C23—111no—
1465C23—111no—
1466C23—222no—
1467C23—222no—
1468C23—221no—
1469C23—221no—
1470C23—222no—
1471C23—441no—
1472C23—442no—
1473C23—444no—
1474C23—444no—
1475C23—442no—
1476C23—442no—
1477C23—444no—
1478C23—442no—
1479C23—442no—
1480C23—444no—
1481C23—442no—
1482C23—442no—
1483C23—881no—
1484C23—881no—
1485C23—882no—
1486C23—882no—
1487C23—8816no—
1488C23C2×D4×D1111yescharacteristic
1489C23C2×D4×D1111yescharacteristic
1490C23C2×D4×D1111yescharacteristic
1491Q8—21no—
1492Q8—21no—
1493Q8—112no—
1494Q8—221no—
1495Q8—221no—
1496Q8—221no—
1497Q8—442no—
1498Q8—442no—
1499D4—24no—
1500D4—21no—
1501D4—22no—
1502D4—22no—
1503D4—21no—
1504D4—22no—
1505D4—44no—
1506D4—44no—
1507D4—42no—
1508D4—42no—
1509D4—42no—
1510D4—81no—
1511D4—114no—
1512D4—112no—
1513D4—222no—
1514D4—222no—
1515D4—222no—
1516D4—224no—
1517D4—221no—
1518D4—222no—
1519D4—221no—
1520D4—221no—
1521D4—222no—
1522D4—442no—
1523D4—442no—
1524D4—442no—
1525D4—444no—
1526D4—442no—
1527D4—444no—
1528D4—444no—
1529D4—442no—
1530D4—442no—
1531D4—442no—
1532D4—444no—
1533D4—442no—
1534D4—444no—
1535D4—444no—
1536D4—444no—
1537D4—444no—
1538D4—442no—
1539D4—442no—
1540D4—881no—
1541D4—882no—
1542D4—882no—
1543D4—881no—
1544D4C2×D4×D1114yes—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—42no—
1556C2×C4—111no—
1557C2×C4—111no—
1558C2×C4—111no—
1559C2×C4—111no—
1560C2×C4—111no—
1561C2×C4—111no—
1562C2×C4—222no—
1563C2×C4—222no—
1564C2×C4—221no—
1565C2×C4—222no—
1566C2×C4—222no—
1567C2×C4—224no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—222no—
1573C2×C4—221no—
1574C2×C4—442no—
1575C2×C4—442no—
1576C2×C4—442no—
1577C2×C4—442no—
1578C2×C4—442no—
1579C2×C4—444no—
1580C2×C4—441no—
1581C2×C4—442no—
1582C2×C4—442no—
1583C2×C4—444no—
1584C2×C4—442no—
1585C2×C4—442no—
1586C2×C4—881no—
1587C2×C4C2×D4×D1111yescharacteristic
1588C2×C4C2×D4×D1111yescharacteristic
1589C2×C4C2×D4×D1111yescharacteristic
1590C2×C4C2×D4×D1112yes—
1591C2×C4#6703712yes—
1592C2×C4C24×D1111yescharacteristic
1593C8—22no—
1594C8—22no—
1595C8—114no—
1596C8—222no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—24no—
1604C22—21no—
1605C22—44no—
1606C22—48no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—41no—
1614C22—42no—
1615C22—88no—
1616C22—84no—
1617C22—88no—
1618C22—112no—
1619C22—221no—
1620C22—221no—
1621C22—221no—
1622C22—221no—
1623C22—222no—
1624C22—221no—
1625C22—444no—
1626C22—441no—
1627C22—441no—
1628C22—442no—
1629C22—441no—
1630C22—441no—
1631C22—442no—
1632C22—442no—
1633C22—441no—
1634C22—884no—
1635C22—884no—
1636C22—888no—
1637C22—888no—
1638C22—884no—
1639C22#1062312112yes—
1640C22D11×AGL(1,ℤ/8)12yescomplemented
1641C22C22×D4×D1111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—112no—
1648C4—221no—
1649C4—221no—
1650C4—221no—
1651C4—221no—
1652C4—222no—
1653C4—221no—
1654C4—441no—
1655C4—442no—
1656C4#1062312112yes—
1657C4C22×D4×D1111yescharacteristic
1658C4C2×#6703711yescharacteristic
1659C2—22no—
1660C2—22no—
1661C2—41no—
1662C2—44no—
1663C2—82no—
1664C2—81no—
1665C2—222no—
1666C2—441no—
1667C2—442no—
1668C2—882no—
1669C2—881no—
1670C2C2×#1062312111yescharacteristic
1671C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
1672C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3003C2
socleC22×C11C23×D4
hypercenter#3003D11
hypocenterC11D4×AGL(1,ℤ/8)
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3003

Complements

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

NH ≅ G/Ntype
1. C22×#66985C2semidirect
2. C2×D11×AGL(1,ℤ/8)C2semidirect
3. #13082099C2semidirect
4. C2×D4×C22⋊D11C2semidirect
5. #13080310C2semidirect
6. #13080286C2semidirect
7. #13080234C2semidirect
8. #13080214C2semidirect
9. #13080115C2semidirect
10. #13080109C2semidirect
11. #13080100C2semidirect
12. #13080094C2semidirect
13. #13079064C2semidirect
14. #13078237C2semidirect
15. #13078233C2semidirect
16. #13078095C2semidirect
17. #13078077C2semidirect
18. #13077870C2semidirect
19. #13077864C2semidirect
20. #13077845C2semidirect
21. #13077420C2semidirect
22. #13077348C2semidirect
23. C11×#3003C2semidirect
24. C23×D4×C11C22semidirect
26. C2×#41×D11C22semidirect
27. C22×D4×D11C22semidirect
28. C22×#4339C22semidirect
29. C2×C11×AGL(1,ℤ/8)C22semidirect
30. C2×C11×AGL(1,ℤ/8)C22semidirect
31. C11×#525C22semidirect
33. #10623363C22semidirect
34. C2×#67002C22semidirect
35. C2×#66993C22semidirect
42. D4×C22⋊D11C22semidirect
43. D4×C22⋊D11C22semidirect
44. D4×C22⋊D11C22semidirect
45. C2×#66991C22semidirect
47. C2×D4×Dic11C22semidirect
48. C22×#4324C22semidirect
51. C2×#66985C22semidirect
52. C2×#66985C22semidirect
53. C2×#66985C22semidirect
54. C2×#66985C22semidirect
55. C2×#66985C22semidirect
56. C22×#4323C22semidirect
57. C2×#66983C22semidirect
59. C22×#4318C22semidirect
61. C2×#66967C22semidirect
62. C2×SD16×D11C22semidirect
63. C2×#66964C22semidirect
64. C2×D8×D11C22semidirect
65. C2×#66961C22semidirect
66. C2×#66961C22semidirect
67. C2×M16×D11C22semidirect
70. #10623164C22semidirect
71. #10623163C22semidirect
72. #10623162C22semidirect
73. #10623161C22semidirect
74. #10623143C22semidirect
75. #10623140C22semidirect
76. #10623130C22semidirect
77. #10623129C22semidirect
84. #10623055C22semidirect
85. #10623053C22semidirect
86. C11×#450C22semidirect
87. C11×#450C22semidirect
88. C11×#447C22semidirect
89. C11×#447C22semidirect
90. C11×#418C22semidirect
91. C11×#418C22semidirect
92. C11×#407C22semidirect
93. #10622845C22semidirect
94. #10622789C22semidirect
95. #10622788C22semidirect
96. #10622785C22semidirect
97. #10622783C22semidirect
98. #10622778C22semidirect
99. #10622775C22semidirect
100. #10622771C22semidirect
101. #10622769C22semidirect
102. #10622767C22semidirect
103. #10622766C22semidirect
104. #10622764C22semidirect
105. #10622763C22semidirect
106. #10622746C22semidirect
107. #10622746C22semidirect
108. #10622739C22semidirect
109. #10622731C22semidirect
110. M16×Dic11C22semidirect
111. #10622662C22semidirect
112. #10622661C22semidirect
113. #10622652C22semidirect
114. #10622651C22semidirect
115. #10622614C22semidirect
116. #10622608C22semidirect
117. #10622399C22semidirect
118. #10622399C22semidirect
119. #10622398C22semidirect
120. #10622395C22semidirect
121. #10622393C22semidirect
122. #10622391C22semidirect
123. #10622389C22semidirect
124. #10622389C22semidirect
125. #10622388C22semidirect
126. #10622386C22semidirect
127. #10622386C22semidirect
128. #10622375C22semidirect
129. #10622375C22semidirect
130. #10622371C22semidirect
131. #10622370C22semidirect
132. #10622369C22semidirect
133. #10622351C22semidirect
134. #10622347C22semidirect
135. #10622347C22semidirect
136. #10622345C22semidirect
137. #10622343C22semidirect
138. #10622342C22semidirect
139. #10622341C22semidirect
140. (C22⋊D11)⋊C8C22semidirect
169. C2×#4343C23semidirect
170. C2×Q8×D11C23semidirect
172. C2×#4341C23semidirect
181. C2×D4×D11C23semidirect
189. C2×#4339C23semidirect
190. C2×#4339C23semidirect
192. C22×D44C23semidirect
196. C22×Dic22C23semidirect
200. C2×C11×SD16C23semidirect
202. C2×C11×D8C23semidirect
206. C11×C22⋊Q8C23semidirect
207. C11×C22⋊Q8C23semidirect
208. C11×#121C23semidirect
209. C11×#121C23semidirect
222. #67000C23semidirect
223. #66997C23semidirect
224. C2×#4325C23semidirect
230. #66993C23semidirect
250. #66989C23semidirect
259. C2×#4324C23semidirect
260. C2×#4324C23semidirect
266. #66985D4semidirect
270. C2×#4323C23semidirect
271. C2×#4323C23semidirect
272. C2×#4323C23semidirect
295. C2×#4318C23semidirect
296. C22×C11⋊C8C23semidirect
304. C2×D88C23semidirect
305. C2×D88C23semidirect
306. C2×#4314C23semidirect
307. C2×#4314C23semidirect
308. C2×#4313C23semidirect
309. C2×C8×D11C23semidirect
310. #66950C23semidirect
311. #66950C23semidirect
315. #66948C23semidirect
316. #66948C23semidirect
320. #66946C23semidirect
321. #66946C23semidirect
324. #66940C23semidirect
325. #66940C23semidirect
352. C11×#102C23semidirect
353. C11×#102C23semidirect
354. C11×C22⋊C8C23semidirect
355. C11×C22⋊C8C23semidirect
356. #66899C23semidirect
357. #66896C23semidirect
358. #66885C23semidirect
359. #66885C23semidirect
360. (C2×D11)⋊C8C23semidirect
361. (C2×D11)⋊C8C23semidirect
362. #66880C23semidirect
363. #66880C23semidirect
364. #66879C23semidirect
365. Dic11⋊C8C23semidirect
366. Dic11⋊C8C23semidirect
367. C8×Dic11C23semidirect
368. #66873C23semidirect
369. #66873C23semidirect
370. #66872C23semidirect
371. #66871C23semidirect
410. C2×D4×C11C2×D4semidirect
492. #4339C2×D4semidirect
559. #4324C2×D4semidirect
564. #4323C2×D4semidirect
599. #4318C2×D4semidirect
629. #3003D11semidirect
731. C22⋊D11AGL(1,ℤ/8)semidirect
759. D44C22×D4semidirect
779. Dic22C22×D4semidirect
783. C11⋊C8C22×D4semidirect
788. C23×D4C2×D11semidirect
802. C2×AGL(1,ℤ/8)C2×D11semidirect
803. C2×AGL(1,ℤ/8)C2×D11semidirect
836. #525C2×D11semidirect
868. #450C2×D11semidirect
869. #450C2×D11semidirect
880. #447C2×D11semidirect
881. #447C2×D11semidirect
893. #418C2×D11semidirect
894. #418C2×D11semidirect
899. #407C2×D11semidirect
923. C22×C11C2×AGL(1,ℤ/8)semidirect
945. C2×D11C2×AGL(1,ℤ/8)semidirect
962. Dic11C2×AGL(1,ℤ/8)semidirect
1042. C2×SD16C22×D11semidirect
1053. C2×D8C22×D11semidirect
1088. C22⋊Q8C22×D11semidirect
1089. C22⋊Q8C22×D11semidirect
1114. #121C22×D11semidirect
1115. #121C22×D11semidirect
1186. #102C22×D11semidirect
1187. #102C22×D11semidirect
1190. C22⋊C8C22×D11semidirect
1191. C22⋊C8C22×D11semidirect
1324. C2×D4D4×D11semidirect
1444. C11D4×AGL(1,ℤ/8)semidirect
1640. C22D11×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C22×#669852
C2×D11×AGL(1,ℤ/8)2
#130820992
C2×D4×C22⋊D112
#130803102
#130802862
#130802342
#130802142
#130801152
#130801092
#130801002
#130800942
#130790642
#130782372
#130782332
#130780952
#130780772
#130778702
#130778642
#130778452
#130774202
#130773482
C11×#30032
D4×AGL(1,ℤ/8)11