Finite Group Databasebeta

← #15629358

Subgroups — #15629358

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×#67002C211yesmaximal, characteristic, complemented
2C2×D11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3#41×C22⋊D11C211yesmaximal, characteristic, complemented
4C2×#10623140C211yesmaximal, characteristic, complemented
5#13080305C212yesmaximal, complemented
6#13080286C212yesmaximal, complemented
7#13080229C212yesmaximal, complemented
8#13080209C212yesmaximal, complemented
9#13080114C212yesmaximal, complemented
10#13080104C212yesmaximal, complemented
11#13080099C212yesmaximal, complemented
12#13080089C212yesmaximal, complemented
13#13079064C211yesmaximal, characteristic, complemented
14#13078238C211yesmaximal, characteristic, complemented
15#13078231C211yesmaximal, characteristic, complemented
16#13078094C211yesmaximal, characteristic, complemented
17#13078079C211yesmaximal, characteristic, complemented
18#13077869C211yesmaximal, characteristic, complemented
19#13077846C211yesmaximal, characteristic, complemented
20#13077841C211yesmaximal, characteristic, complemented
21#13077429C211yesmaximal, characteristic, complemented
22#13077348C211yesmaximal, characteristic, complemented
23C11×#3006C211yesmaximal, characteristic, complemented
24C22×C11×#41C2211yescharacteristic, complemented
25C2×#41×D11C2211yescharacteristic, complemented
26C22×D4×D11—21no—
27C22×D4×D11C2211yescharacteristic, complemented
28C23×D44C2211yescharacteristic, complemented
29C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
30C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
31C2×C11×#121C2211yescharacteristic, complemented
32#10623365C2211yescharacteristic, complemented
33#10623363—21no—
34#10623363C2211yescharacteristic, complemented
35#10623362C2211yescharacteristic, complemented
36#10623360—21no—
37#10623360C2211yescharacteristic, complemented
38#10623359—21no—
39#10623359C2211yescharacteristic, complemented
40#41×Dic11C2211yescharacteristic, complemented
41#10623355—21no—
42#10623355C2211yescharacteristic, complemented
43C2×#67002—28no—
44C2×#67002C2211yescharacteristic
45C2×#67002C2211yescharacteristic, complemented
46C2×#67002C2211yescharacteristic, complemented
47C2×#67002C2211yescharacteristic, complemented
48C2×#67002C2212yescomplemented
49C2×#67002C2212yescomplemented
50#10623348C2211yescharacteristic, complemented
51Q8×C22⋊D11C2211yescharacteristic, complemented
52C22×#4325C2212yescomplemented
53#10623337—21no—
54#10623337C2211yescharacteristic, complemented
55C2×#66993C2211yescharacteristic, complemented
56D4×C22⋊D11—21no—
57D4×C22⋊D11C2211yescharacteristic, complemented
58C2×#66990—21no—
59C2×#66985C2211yescharacteristic, complemented
60C22×#4323C2212yescomplemented
61#10623322—21no—
62#10623322C2211yescharacteristic, complemented
63C2×C4×C22⋊D11—21no—
64C2×C4×C22⋊D11C2211yescharacteristic
65C22×#4318C2211yescharacteristic, complemented
66D11×AGL(1,ℤ/8)—28no—
67C2×#66967C2212yescomplemented
68C2×SD16×D11C2212yescomplemented
69C2×#66964C2212yescomplemented
70C2×D8×D11C2212yescomplemented
71C2×#66961C2211yescharacteristic, complemented
72C2×#66961C2211yescharacteristic, complemented
73C2×M16×D11C2211yescharacteristic, complemented
74#10623140—21no—
75#10623140—21no—
76#10623140—21no—
77#10623140—21no—
78#10623140C2212yes—
79#10623140C2212yescomplemented
80#10623140C2212yescomplemented
81#10623140C2212yescomplemented
82C2×#66948C2211yescharacteristic, complemented
83C2×#66946C2211yescharacteristic, complemented
84C2×#66937—21no—
85C2×#66935—21no—
86C11×#449C2212yescomplemented
87C11×#449C2212yescomplemented
88C11×#448C2212yescomplemented
89C11×#447C2212yescomplemented
90C11×#417C2211yescharacteristic, complemented
91C11×#417C2211yescharacteristic, complemented
92C11×#407C2211yescharacteristic, complemented
93#10622828C2211yescharacteristic, complemented
94#10622789C2212yescomplemented
95#10622788C2212yescomplemented
96#10622782C2212yescomplemented
97#10622782C2212yescomplemented
98#10622776C2212yescomplemented
99#10622776C2212yescomplemented
100#10622769C2212yescomplemented
101#10622769C2212yescomplemented
102#10622767C2212yescomplemented
103#10622764C2212yescomplemented
104#10622763C2212yescomplemented
105#10622763C2212yescomplemented
106#10622744C2211yescharacteristic, complemented
107#10622744C2211yescharacteristic, complemented
108#10622739C2211yescharacteristic, complemented
109#10622731C2211yescharacteristic, complemented
110M16×Dic11C2211yescharacteristic, complemented
111#10622655C2212yescomplemented
112#10622654C2212yescomplemented
113#10622652C2212yescomplemented
114#10622651C2212yescomplemented
115#10622579C2211yescharacteristic, complemented
116#10622577C2211yescharacteristic, complemented
117#10622432C2212yescomplemented
118#10622431C2212yescomplemented
119#10622430C2212yescomplemented
120#10622425C2212yescomplemented
121#10622424C2212yescomplemented
122#10622420C2212yescomplemented
123#10622419C2212yescomplemented
124#10622401C2212yescomplemented
125#10622400C2212yescomplemented
126#10622399C2212yescomplemented
127#10622398C2212yescomplemented
128#10622395C2212yescomplemented
129#10622394C2212yescomplemented
130#10622388C2212yescomplemented
131#10622386C2212yescomplemented
132#10622369C2212yescomplemented
133#10622345C2212yescomplemented
134#10622345C2212yescomplemented
135#10622344C2212yescomplemented
136#10622344C2212yescomplemented
137#10622343C2212yescomplemented
138#10622342C2212yescomplemented
139#10622341C2212yescomplemented
140(C22⋊D11)⋊C8C2212yescomplemented
141C24×D11—21no—
142C24×D11—21no—
143C2×C11×#41—21no—
144C2×C11×#41—21no—
145C2×C11×#41—24no—
146C2×C11×#41—42no—
147C2×C11×#41C2311yescharacteristic
148C2×C11×#41C2311yescharacteristic
149C2×C11×#41C2311yescharacteristic, complemented
150C2×C11×#41C2311yescharacteristic, complemented
151C22×Q8×C11C2311yescharacteristic, complemented
152C22×D4×C11—21no—
153C22×D4×C11—21no—
154C22×D4×C11C2311yescharacteristic
155C22×D4×C11C2311yescharacteristic, complemented
156C23×C4×C11—21no—
157C23×C4×C11C2311yescharacteristic
158C22×C22⋊D11—21no—
159C22×C22⋊D11—21no—
160C22×C22⋊D11—21no—
161C22×C22⋊D11—21no—
162C22×C22⋊D11D411yescharacteristic
163#41×D11—24no—
164#41×D11—42no—
165C2×#4343C2311yescharacteristic, complemented
166C2×Q8×D11C2311yescharacteristic, complemented
167C2×#4341—21no—
168C2×#4341C2311yescharacteristic, complemented
169C2×D4×D11—21no—
170C2×D4×D11—22no—
171C2×D4×D11—22no—
172C2×D4×D11—22no—
173C2×D4×D11—22no—
174C2×D4×D11—24no—
175C2×D4×D11—21no—
176C2×D4×D11—21no—
177C2×D4×D11—42no—
178C2×D4×D11—48no—
179C2×D4×D11C2312yes—
180C2×D4×D11C2312yes—
181C2×D4×D11C2311yescharacteristic, complemented
182C2×#4339—21no—
183C2×#4339C2311yescharacteristic
184C22×D44—24no—
185C22×D44—21no—
186C22×D44—21no—
187C22×D44—21no—
188C22×D44—21no—
189C22×D44—42no—
190C22×D44C2311yescharacteristic
191C22×D44C2312yes—
192C22×D44C2312yes—
193C22×D44C2311yescharacteristic
194C22×C4×D11—21no—
195C22×C4×D11—21no—
196C22×C4×D11C2311yescharacteristic
197C11×AGL(1,ℤ/8)—24no—
198C11×AGL(1,ℤ/8)—42no—
199C2×C11×SD16C2312yescomplemented
200C2×C11×SD16C2312yescomplemented
201C2×C11×D8C2312yescomplemented
202C2×C11×D8C2312yescomplemented
203C2×C11×M16C2311yescharacteristic
204C2×C11×M16C2311yescharacteristic
205C11×#121—21no—
206C11×#121—21no—
207C11×#121C2312yes—
208C11×#121C2312yes—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4—21no—
211#67006—21no—
212#67006—21no—
213#67006—21no—
214C2×C22⋊Dic11—21no—
215C2×C22⋊Dic11D411yescharacteristic
216#67002—24no—
217#67002—24no—
218#67002—28no—
219#67002—28no—
220#67002—24no—
221#67002D418yescomplemented
222#67000—21no—
223#67000C2311yescharacteristic, complemented
224#66999—21no—
225#66999—21no—
226#66999C2311yescharacteristic, complemented
227#66999C2311yescharacteristic, complemented
228Q8×Dic11C2311yescharacteristic, complemented
229Q8×Dic11C2311yescharacteristic, complemented
230#66997—21no—
231#66997C2311yescharacteristic, complemented
232C2×#4325—28no—
233C2×#4325C2312yes—
234C2×#4325C2312yes—
235C2×#4325C2312yescomplemented
236C2×#4325C2312yescomplemented
237#66993—21no—
238#66993—21no—
239#66993—21no—
240#66993C2312yes—
241#66993C2312yes—
242#66993C2311yescharacteristic, complemented
243#66992—21no—
244#66992—21no—
245#66992—21no—
246#66992—21no—
247#66992—21no—
248#66992—21no—
249#66991—21no—
250#66991—21no—
251#66991C2311yescharacteristic, complemented
252#66991C2311yescharacteristic, complemented
253#66990—21no—
254#66990—21no—
255#66990—22no—
256#66990—22no—
257#66990—22no—
258#66990—22no—
259#66990—21no—
260#66989—21no—
261#66989C2311yescharacteristic, complemented
262#66988—21no—
263#66988—21no—
264#66988—21no—
265D4×Dic11—21no—
266D4×Dic11—21no—
267D4×Dic11C2311yescharacteristic, complemented
268D4×Dic11C2311yescharacteristic, complemented
269C2×#4324C2312yescomplemented
270#66985—24no—
271C2×#4323—28no—
272C2×#4323C2312yes—
273C2×#4323C2312yes—
274C2×#4323C2312yescomplemented
275C2×#4323C2312yescomplemented
276C2×#4323C2312yescomplemented
277#66983—21no—
278#66983—21no—
279#66983C2311yescharacteristic, complemented
280#66983C2311yescharacteristic, complemented
281#66982—21no—
282#66982—21no—
283#66982—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11D411yescharacteristic
295C4×C22⋊D11D411yescharacteristic
296C4×C22⋊D11D411yescharacteristic
297C4×C22⋊D11D411yescharacteristic
298C4×C22⋊D11C2311yescharacteristic
299C4×C22⋊D11C2311yescharacteristic
300C4×C22⋊D11C2311yescharacteristic
301C4×C22⋊D11C2311yescharacteristic
302C2×(C2×D11)⋊C4—21no—
303C2×(C2×D11)⋊C4—21no—
304C2×(C2×D11)⋊C4—21no—
305C2×(C2×D11)⋊C4D411yescharacteristic
306#66979—21no—
307#66979C2311yescharacteristic
308#66977—21no—
309#66977—21no—
310#66977C2311yescharacteristic, complemented
311#66977C2311yescharacteristic, complemented
312C2×Dic11⋊C4—21no—
313C2×Dic11⋊C4D411yescharacteristic
314C2×C4×Dic11—21no—
315C2×C4×Dic11C2311yescharacteristic
316C2×#4318—24no—
317C2×#4318C2311yescharacteristic
318C2×#4318C2311yescharacteristic
319C2×#4318C2312yescomplemented
320C22×C11⋊C8C2312yescomplemented
321#66967—28no—
322SD16×D11—28no—
323#66964—28no—
324D8×D11—28no—
325#66961—24no—
326#66961—42no—
327M16×D11—24no—
328C2×D88C2312yes—
329C2×D88C2312yescomplemented
330C2×#4314C2312yes—
331C2×#4314C2312yescomplemented
332C2×#4313C2312yescomplemented
333C2×C8×D11C2312yescomplemented
334#66948—21no—
335#66948—21no—
336#66948C2312yes—
337#66948C2312yes—
338#66946—21no—
339#66946—21no—
340#66946C2312yes—
341#66946C2312yes—
342#66937—22no—
343#66937—22no—
344#66937—22no—
345#66937—22no—
346#66935—22no—
347#66935—22no—
348#66935—22no—
349#66935—22no—
350C11×#103C2312yescomplemented
351C11×#103C2312yescomplemented
352C11×#102C2312yescomplemented
353C11×#102C2312yescomplemented
354C11×C22⋊C8C2312yescomplemented
355C11×C22⋊C8C2312yescomplemented
356#66896C2312yescomplemented
357#66896C2312yescomplemented
358#66885C2312yes—
359#66885C2312yes—
360#66885C2312yescomplemented
361#66885C2312yescomplemented
362(C2×D11)⋊C8C2312yescomplemented
363(C2×D11)⋊C8C2312yescomplemented
364#66879C2312yescomplemented
365Dic11⋊C8C2312yescomplemented
366Dic11⋊C8C2312yescomplemented
367C8×Dic11C2312yescomplemented
368#66874C2312yescomplemented
369#66873C2312yescomplemented
370#66872C2312yescomplemented
371#66871C2312yescomplemented
372D4×AGL(1,ℤ/8)—111nomaximal, Sylow
373C24×C11—21no—
374C24×C11—21no—
375C24×C11C2×D411yescharacteristic
376C23×D11—21no—
377C23×D11—21no—
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—21no—
383C23×D11—44no—
384C23×D11—44no—
385C23×D11—44no—
386C23×D11—44no—
387C23×D11—82no—
388C23×D11—82no—
389C23×D11C2×D411yescharacteristic
390C11×#41—22no—
391C11×#41—22no—
392C11×#41—22no—
393C11×#41—22no—
394C11×#41—22no—
395C11×#41—44no—
396C11×#41—41no—
397C11×#41—41no—
398C11×#41—44no—
399C11×#41C2×D414yescomplemented
400C2×Q8×C11—21no—
401C2×Q8×C11—22no—
402C2×Q8×C11—41no—
403C2×Q8×C11C2411yescharacteristic
404C2×Q8×C11C2411yescharacteristic
405C2×D4×C11—21no—
406C2×D4×C11—22no—
407C2×D4×C11—21no—
408C2×D4×C11—21no—
409C2×D4×C11—21no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—21no—
414C2×D4×C11—21no—
415C2×D4×C11—22no—
416C2×D4×C11—41no—
417C2×D4×C11—44no—
418C2×D4×C11—44no—
419C2×D4×C11C2412yes—
420C2×D4×C11C2411yescharacteristic
421C2×D4×C11C2411yescharacteristic
422C22×C4×C11—22no—
423C22×C4×C11—21no—
424C22×C4×C11—22no—
425C22×C4×C11—21no—
426C22×C4×C11—21no—
427C22×C4×C11—21no—
428C22×C4×C11—21no—
429C22×C4×C11—21no—
430C22×C4×C11—44no—
431C22×C4×C11C2×D411yescharacteristic
432C22×C4×C11C2×D411yescharacteristic
433C22×C4×C11C2×D411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C2×C22⋊D11—24no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—21no—
443C2×C22⋊D11—21no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—21no—
447C2×C22⋊D11—21no—
448C2×C22⋊D11—21no—
449C2×C22⋊D11—21no—
450C2×C22⋊D11—21no—
451C2×C22⋊D11—21no—
452C2×C22⋊D11—21no—
453C2×C22⋊D11—44no—
454C2×C22⋊D11—44no—
455C2×C22⋊D11—44no—
456C2×C22⋊D11—82no—
457C2×C22⋊D11C2×D411yescharacteristic
458C2×C22⋊D11C2×D411yescharacteristic
459C2×C22⋊D11C2×D411yescharacteristic
460C2×C22⋊D11C2×D411yescharacteristic
461C22×Dic11—21no—
462C22×Dic11—21no—
463C22×Dic11—21no—
464C22×Dic11C2×D411yescharacteristic
465C22×Dic11C2×D411yescharacteristic
466C22×Dic11C2×D411yescharacteristic
467#4343—22no—
468#4343—41no—
469Q8×D11—22no—
470Q8×D11—41no—
471#4341—22no—
472#4341—41no—
473#4341—44no—
474D4×D11—24no—
475D4×D11—24no—
476D4×D11—22no—
477D4×D11—44no—
478D4×D11—42no—
479D4×D11—42no—
480D4×D11—41no—
481D4×D11—44no—
482D4×D11—44no—
483D4×D11—48no—
484D4×D11—48no—
485D4×D11—48no—
486D4×D11—48no—
487#4339—22no—
488#4339—22no—
489#4339—44no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—21no—
493C2×D44—24no—
494C2×D44—24no—
495C2×D44—21no—
496C2×D44—22no—
497C2×D44—22no—
498C2×D44—21no—
499C2×D44—22no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—44no—
503C2×D44—42no—
504C2×D44—42no—
505C2×D44—44no—
506C2×D44—44no—
507C2×D44—44no—
508C2×D44C2×D414yescomplemented
509C2×D44C2411yescharacteristic
510C2×D44C2412yes—
511C2×D44C2412yes—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—21no—
515C2×C4×D11—21no—
516C2×C4×D11—22no—
517C2×C4×D11—21no—
518C2×C4×D11—22no—
519C2×C4×D11—44no—
520C2×C4×D11—44no—
521C2×C4×D11C2×D411yescharacteristic
522C2×C4×D11C2×D411yescharacteristic
523C2×C4×D11C2411yescharacteristic
524C2×C4×D11C2411yescharacteristic
525C2×Dic22—21no—
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⋊C4C2412yes—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C22⋊Dic11—21no—
540C22⋊Dic11—21no—
541C22⋊Dic11—21no—
542C22⋊Dic11—21no—
543C22⋊Dic11—21no—
544C22⋊Dic11—21no—
545C22⋊Dic11—21no—
546C22⋊Dic11—21no—
547C22⋊Dic11—21no—
548C22⋊Dic11C2×D411yescharacteristic
549C22⋊Dic11C2×D411yescharacteristic
550C22⋊Dic11C2×D411yescharacteristic
551C22⋊Dic11C2×D411yescharacteristic
552#4325—24no—
553#4325—24no—
554#4325—24no—
555#4325C2×D418yescomplemented
556#4324—24no—
557#4323—24no—
558#4323—24no—
559#4323—24no—
560#4323—24no—
561#4323C2×D418yescomplemented
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
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)⋊C4C2×D411yescharacteristic
573(C2×D11)⋊C4C2×D411yescharacteristic
574(C2×D11)⋊C4C2×D411yescharacteristic
575(C2×D11)⋊C4C2×D411yescharacteristic
576C4⋊Dic11—21no—
577C4⋊Dic11—21no—
578C4⋊Dic11C2411yescharacteristic
579C4⋊Dic11C2411yescharacteristic
580Dic11⋊C4—21no—
581Dic11⋊C4—21no—
582Dic11⋊C4—21no—
583Dic11⋊C4—21no—
584Dic11⋊C4—21no—
585Dic11⋊C4—21no—
586Dic11⋊C4C2×D411yescharacteristic
587Dic11⋊C4C2×D411yescharacteristic
588Dic11⋊C4C2×D411yescharacteristic
589Dic11⋊C4C2×D411yescharacteristic
590C4×Dic11—21no—
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#3006D1111yescharacteristic, complemented
628#3003—111no—
629#3003—111no—
630C4×AGL(1,ℤ/8)—111no—
631D4×M16—111no—
632C23×C11—22no—
633C23×C11—22no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—22no—
637C23×C11—41no—
638C23×C11—42no—
639C23×C11—42no—
640C23×C11—42no—
641C23×C11—42no—
642C23×C11—42no—
643C23×C11—81no—
644C23×C11C22×D411yescharacteristic
645C23×C11C22×D411yescharacteristic
646C23×C11C22×D411yescharacteristic
647C22×D11—22no—
648C22×D11—24no—
649C22×D11—22no—
650C22×D11—22no—
651C22×D11—21no—
652C22×D11—22no—
653C22×D11—41no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—42no—
657C22×D11—44no—
658C22×D11—44no—
659C22×D11—44no—
660C22×D11—42no—
661C22×D11—42no—
662C22×D11—42no—
663C22×D11—44no—
664C22×D11—42no—
665C22×D11—42no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11—42no—
669C22×D11—81no—
670C22×D11—82no—
671C22×D11—82no—
672C22×D11—82no—
673C22×D11—82no—
674C22×D11—816no—
675C22×D11—816no—
676C22×D11C22×D411yescharacteristic
677C22×D11C22×D411yescharacteristic
678Q8×C11—21no—
679Q8×C11—21no—
680Q8×C11—21no—
681Q8×C11—42no—
682Q8×C11C22×D412yescomplemented
683D4×C11—24no—
684D4×C11—21no—
685D4×C11—22no—
686D4×C11—21no—
687D4×C11—21no—
688D4×C11—22no—
689D4×C11—42no—
690D4×C11—42no—
691D4×C11—42no—
692D4×C11—44no—
693D4×C11—42no—
694D4×C11—44no—
695D4×C11—42no—
696D4×C11C22×D412yescomplemented
697C2×C4×C11—22no—
698C2×C4×C11—21no—
699C2×C4×C11—24no—
700C2×C4×C11—22no—
701C2×C4×C11—22no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—22no—
708C2×C4×C11—42no—
709C2×C4×C11—42no—
710C2×C4×C11—42no—
711C2×C4×C11—42no—
712C2×C4×C11—42no—
713C2×C4×C11C22×D411yescharacteristic
714C2×C4×C11C22×D411yescharacteristic
715C2×C4×C11C22×D411yescharacteristic
716C2×C4×C11C22×D412yes—
717C2×C4×C11H(5,𝔽2)12yes—
718C2×C4×C11C2511yescharacteristic
719C22⋊D11—22no—
720C22⋊D11—22no—
721C22⋊D11—22no—
722C22⋊D11—44no—
723C22⋊D11—44no—
724C22⋊D11—42no—
725C22⋊D11—44no—
726C22⋊D11—42no—
727C22⋊D11—42no—
728C22⋊D11—42no—
729C22⋊D11—42no—
730C22⋊D11—44no—
731C22⋊D11—42no—
732C22⋊D11—81no—
733C22⋊D11—82no—
734C22⋊D11—82no—
735C22⋊D11—81no—
736C22⋊D11—81no—
737C22⋊D11AGL(1,ℤ/8)14yescomplemented
738C2×Dic11—22no—
739C2×Dic11—22no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—41no—
744C2×Dic11—42no—
745C2×Dic11—42no—
746C2×Dic11—81no—
747C2×Dic11C22×D411yescharacteristic
748C2×Dic11C22×D411yescharacteristic
749C2×Dic11C22×D411yescharacteristic
750C2×Dic11C22×D411yescharacteristic
751C2×Dic11C22×D411yescharacteristic
752C2×Dic11C22×D411yescharacteristic
753D44—24no—
754D44—21no—
755D44—22no—
756D44—22no—
757D44—22no—
758D44—21no—
759D44—44no—
760D44—44no—
761D44—42no—
762D44—44no—
763D44—44no—
764D44—42no—
765D44C22×D414yes—
766C4×D11—22no—
767C4×D11—22no—
768C4×D11—21no—
769C4×D11—21no—
770C4×D11—21no—
771C4×D11—21no—
772C4×D11—42no—
773C4×D11—44no—
774C4×D11—42no—
775C4×D11—42no—
776C4×D11—44no—
777Dic22—21no—
778Dic22—21no—
779Dic22—42no—
780C8×C11—22no—
781C8×C11—22no—
782C11⋊C8—22no—
783C11⋊C8C22×D414yescomplemented
784C22×#41—111no—
785C22×#41C2×D1111yescharacteristic, complemented
786C23×D4—111no—
787C23×D4—111no—
788C23×D4—221no—
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)—112no—
794C2×AGL(1,ℤ/8)—112no—
795C2×AGL(1,ℤ/8)—111no—
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—111no—
821D42—112no—
822D42—112no—
823D42—112no—
824D42—112no—
825D42—221no—
826D42—221no—
827D42—221no—
828D42—221no—
829D42—221no—
830#532—111no—
831#532—221no—
832C2×#127—111no—
833#525—111no—
834#525—111no—
835#525—221no—
836#525—221no—
837C2×#121—111no—
838C2×#121—221no—
839C2×#121C2×D1111yescharacteristic, complemented
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#450—112no—
869#450—112no—
870#449—112no—
871#449—112no—
872#449C2×D1112yescomplemented
873#449C2×D1112yescomplemented
874#448—112no—
875#448C2×D1112yescomplemented
876#447—112no—
877#447—112no—
878#447—112no—
879#447—112no—
880#447—112no—
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#418—111no—
894#418—111no—
895#417—111no—
896#417C2×D1111yescharacteristic, complemented
897#417C2×D1111yescharacteristic, complemented
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—22no—
908C22×C11—21no—
909C22×C11—44no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—42no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—42no—
916C22×C11—42no—
917C22×C11—41no—
918C22×C11—84no—
919C22×C11—84no—
920C22×C11D4212yes—
921C22×C11C2×AGL(1,ℤ/8)12yescomplemented
922C22×C11C23×D411yescharacteristic
923C2×D11—21no—
924C2×D11—21no—
925C2×D11—21no—
926C2×D11—24no—
927C2×D11—21no—
928C2×D11—21no—
929C2×D11—44no—
930C2×D11—48no—
931C2×D11—42no—
932C2×D11—42no—
933C2×D11—42no—
934C2×D11—41no—
935C2×D11—42no—
936C2×D11—41no—
937C2×D11—42no—
938C2×D11—41no—
939C2×D11—88no—
940C2×D11—84no—
941C2×D11—88no—
942C2×D11—88no—
943C2×D11—88no—
944C2×D11—84no—
945C2×D11C2×AGL(1,ℤ/8)12yescomplemented
946C4×C11—21no—
947C4×C11—21no—
948C4×C11—22no—
949C4×C11—41no—
950C4×C11—42no—
951C4×C11D4212yes—
952C4×C11C23×D411yescharacteristic
953C4×C11C2×H(5,𝔽2)11yescharacteristic
954Dic11—21no—
955Dic11—21no—
956Dic11—21no—
957Dic11—21no—
958Dic11—21no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11C2×AGL(1,ℤ/8)12yescomplemented
963C25—221no—
964C25—221no—
965C2×#41—21no—
966C2×#41—21no—
967C2×#41—24no—
968C2×#41—42no—
969C2×#41—111no—
970C2×#41—111no—
971C2×#41—111no—
972C2×#41—221no—
973C2×#41—221no—
974C2×#41—224no—
975C2×#41—442no—
976C2×#41C22×D1111yescharacteristic
977C2×#41C22×D1111yescharacteristic
978C2×#41C22×D1111yescharacteristic, complemented
979C2×#41C22×D1111yescharacteristic, complemented
980C22×Q8—111no—
981C22×Q8C22×D1111yescharacteristic, complemented
982C22×D4—21no—
983C22×D4—21no—
984C22×D4—111no—
985C22×D4—112no—
986C22×D4—112no—
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—112no—
991C22×D4—112no—
992C22×D4—224no—
993C22×D4—221no—
994C22×D4—221no—
995C22×D4—221no—
996C22×D4—221no—
997C22×D4—221no—
998C22×D4—221no—
999C22×D4—224no—
1000C22×D4—222no—
1001C22×D4—222no—
1002C22×D4—222no—
1003C22×D4—222no—
1004C22×D4—221no—
1005C22×D4—221no—
1006C22×D4—221no—
1007C22×D4—221no—
1008C22×D4—221no—
1009C22×D4—442no—
1010C22×D4—442no—
1011C22×D4—448no—
1012C22×D4C22×D1111yescharacteristic
1013C22×D4C22×D1111yescharacteristic, complemented
1014C23×C4—21no—
1015C23×C4—111no—
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×D1112yescomplemented
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×D1112yescomplemented
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—221no—
1077#123—221no—
1078#123—221no—
1079#123—221no—
1080#123—221no—
1081#123—221no—
1082C22⋊Q8—111no—
1083C22⋊Q8—111no—
1084C22⋊Q8—111no—
1085C22⋊Q8—111no—
1086C22⋊Q8—221no—
1087C22⋊Q8—221no—
1088C22⋊Q8—221no—
1089C22⋊Q8—221no—
1090#121—21no—
1091#121—21no—
1092#121—111no—
1093#121—111no—
1094#121—111no—
1095#121—111no—
1096#121—112no—
1097#121—112no—
1098#121—222no—
1099#121—222no—
1100#121—222no—
1101#121—222no—
1102#121—221no—
1103#121—221no—
1104#121—221no—
1105#121—221no—
1106#121—221no—
1107#121—221no—
1108#121—221no—
1109#121—221no—
1110#121—221no—
1111#121—221no—
1112#121—221no—
1113#121—221no—
1114#121C22×D1112yes—
1115#121C22×D1112yes—
1116#120—222no—
1117#120—222no—
1118#120—222no—
1119#120—222no—
1120#120—222no—
1121#120—222no—
1122#120—222no—
1123#120—222no—
1124#120—221no—
1125#120—221no—
1126#120—221no—
1127#120—221no—
1128#120—221no—
1129#120—221no—
1130C4×Q8—111no—
1131C4×Q8—111no—
1132C4×D4—111no—
1133C4×D4—111no—
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—221no—
1145C4×D4—221no—
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—111no—
1159#117—221no—
1160C2×C4⋊C4—111no—
1161C2×C4⋊C4—221no—
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4—21no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
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#103C22×D1112yescomplemented
1178#103C22×D1112yescomplemented
1179#102—112no—
1180#102—112no—
1181#102—112no—
1182#102—112no—
1183#102—112no—
1184#102—112no—
1185#102—112no—
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—41no—
1197C2×C11—42no—
1198C2×C11—82no—
1199C2×C11—81no—
1200C2×C11C2×D4211yescharacteristic
1201C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1202C2×C11#358511yescharacteristic
1203D11—22no—
1204D11—41no—
1205D11—44no—
1206D11—81no—
1207D11—82no—
1208C24—21no—
1209C24—21no—
1210C24—111no—
1211C24—221no—
1212C24—222no—
1213C24—222no—
1214C24—221no—
1215C24—221no—
1216C24—222no—
1217C24—222no—
1218C24—444no—
1219C24—444no—
1220C24—444no—
1221C24—444no—
1222C24—882no—
1223C24—882no—
1224C24D4×D1111yescharacteristic
1225#41—22no—
1226#41—22no—
1227#41—22no—
1228#41—22no—
1229#41—22no—
1230#41—44no—
1231#41—41no—
1232#41—41no—
1233#41—44no—
1234#41—222no—
1235#41—222no—
1236#41—222no—
1237#41—222no—
1238#41—444no—
1239#41—441no—
1240#41—444no—
1241#41—441no—
1242#41D4×D1114yescomplemented
1243C2×Q8—21no—
1244C2×Q8—22no—
1245C2×Q8—41no—
1246C2×Q8—111no—
1247C2×Q8—221no—
1248C2×Q8—222no—
1249C2×Q8—441no—
1250C2×Q8C23×D1111yescharacteristic
1251C2×Q8C23×D1111yescharacteristic
1252C2×D4—21no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—21no—
1257C2×D4—21no—
1258C2×D4—21no—
1259C2×D4—22no—
1260C2×D4—21no—
1261C2×D4—21no—
1262C2×D4—22no—
1263C2×D4—41no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—111no—
1267C2×D4—111no—
1268C2×D4—111no—
1269C2×D4—111no—
1270C2×D4—114no—
1271C2×D4—112no—
1272C2×D4—111no—
1273C2×D4—112no—
1274C2×D4—224no—
1275C2×D4—224no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—221no—
1279C2×D4—221no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—221no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—221no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—224no—
1289C2×D4—224no—
1290C2×D4—224no—
1291C2×D4—222no—
1292C2×D4—221no—
1293C2×D4—221no—
1294C2×D4—221no—
1295C2×D4—221no—
1296C2×D4—221no—
1297C2×D4—221no—
1298C2×D4—221no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—221no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—442no—
1306C2×D4—442no—
1307C2×D4—444no—
1308C2×D4—444no—
1309C2×D4—444no—
1310C2×D4—444no—
1311C2×D4—442no—
1312C2×D4—442no—
1313C2×D4—441no—
1314C2×D4—444no—
1315C2×D4—444no—
1316C2×D4—444no—
1317C2×D4—444no—
1318C2×D4—444no—
1319C2×D4—448no—
1320C2×D4—448no—
1321C2×D4—448no—
1322C2×D4—448no—
1323C2×D4—444no—
1324C2×D4—882no—
1325C2×D4C23×D1112yes—
1326C2×D4C23×D1111yescharacteristic
1327C2×D4C23×D1111yescharacteristic
1328C22×C4—21no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—44no—
1337C22×C4—111no—
1338C22×C4—111no—
1339C22×C4—111no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—221no—
1347C22×C4—221no—
1348C22×C4—221no—
1349C22×C4—221no—
1350C22×C4—221no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—221no—
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—111no—
1394C4⋊C4—111no—
1395C4⋊C4—111no—
1396C4⋊C4—111no—
1397C4⋊C4—111no—
1398C4⋊C4—111no—
1399C4⋊C4—221no—
1400C4⋊C4—221no—
1401C4⋊C4—221no—
1402C4⋊C4—221no—
1403C4⋊C4—221no—
1404C4⋊C4—221no—
1405C4⋊C4—221no—
1406C4⋊C4—221no—
1407C4⋊C4C23×D1112yes—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—111no—
1411C22⋊C4—111no—
1412C22⋊C4—111no—
1413C22⋊C4—111no—
1414C22⋊C4—111no—
1415C22⋊C4—111no—
1416C22⋊C4—111no—
1417C22⋊C4—111no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—221no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—221no—
1424C22⋊C4—221no—
1425C22⋊C4—221no—
1426C22⋊C4—221no—
1427C22⋊C4—221no—
1428C22⋊C4—221no—
1429C22⋊C4—221no—
1430C22⋊C4—221no—
1431C22⋊C4—221no—
1432C22⋊C4—221no—
1433C22⋊C4—221no—
1434C22⋊C4—221no—
1435C22⋊C4—221no—
1436C22⋊C4—221no—
1437C42—111no—
1438C42—111no—
1439C42—111no—
1440C42—111no—
1441C42—221no—
1442C42—221no—
1443C42—221no—
1444C11D4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
1445C23—22no—
1446C23—22no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—41no—
1451C23—42no—
1452C23—42no—
1453C23—42no—
1454C23—42no—
1455C23—42no—
1456C23—81no—
1457C23—111no—
1458C23—111no—
1459C23—222no—
1460C23—222no—
1461C23—224no—
1462C23—222no—
1463C23—221no—
1464C23—222no—
1465C23—441no—
1466C23—442no—
1467C23—444no—
1468C23—444no—
1469C23—442no—
1470C23—442no—
1471C23—442no—
1472C23—444no—
1473C23—442no—
1474C23—444no—
1475C23—442no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—442no—
1481C23—882no—
1482C23—882no—
1483C23—881no—
1484C23—882no—
1485C23—882no—
1486C23—8816no—
1487C23—8816no—
1488C23C2×D4×D1111yescharacteristic
1489C23C2×D4×D1111yescharacteristic
1490C23C2×D4×D1111yescharacteristic
1491Q8—21no—
1492Q8—21no—
1493Q8—21no—
1494Q8—42no—
1495Q8—221no—
1496Q8—221no—
1497Q8—442no—
1498Q8C2×D4×D1112yescomplemented
1499D4—24no—
1500D4—22no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—22no—
1505D4—42no—
1506D4—42no—
1507D4—42no—
1508D4—44no—
1509D4—44no—
1510D4—42no—
1511D4—42no—
1512D4—114no—
1513D4—114no—
1514D4—222no—
1515D4—222no—
1516D4—222no—
1517D4—224no—
1518D4—221no—
1519D4—222no—
1520D4—222no—
1521D4—221no—
1522D4—222no—
1523D4—444no—
1524D4—444no—
1525D4—442no—
1526D4—444no—
1527D4—444no—
1528D4—444no—
1529D4—442no—
1530D4—442no—
1531D4—444no—
1532D4—444no—
1533D4—444no—
1534D4—442no—
1535D4—442no—
1536D4—442no—
1537D4—442no—
1538D4—442no—
1539D4—882no—
1540D4—882no—
1541D4—881no—
1542D4—881no—
1543D4—881no—
1544D4C2×D4×D1112yescomplemented
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—42no—
1557C2×C4—42no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—111no—
1562C2×C4—111no—
1563C2×C4—111no—
1564C2×C4—111no—
1565C2×C4—111no—
1566C2×C4—111no—
1567C2×C4—222no—
1568C2×C4—222no—
1569C2×C4—222no—
1570C2×C4—222no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—442no—
1579C2×C4—442no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—442no—
1583C2×C4—441no—
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—22no—
1604C22—21no—
1605C22—44no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—84no—
1615C22—84no—
1616C22—112no—
1617C22—221no—
1618C22—221no—
1619C22—221no—
1620C22—221no—
1621C22—224no—
1622C22—221no—
1623C22—444no—
1624C22—448no—
1625C22—442no—
1626C22—442no—
1627C22—442no—
1628C22—441no—
1629C22—441no—
1630C22—442no—
1631C22—442no—
1632C22—441no—
1633C22—888no—
1634C22—884no—
1635C22—884no—
1636C22—888no—
1637C22—888no—
1638C22—888no—
1639C22#1062312112yes—
1640C22D11×AGL(1,ℤ/8)12yescomplemented
1641C22C22×D4×D1111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—22no—
1645C4—41no—
1646C4—42no—
1647C4—112no—
1648C4—221no—
1649C4—221no—
1650C4—221no—
1651C4—221no—
1652C4—221no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4#1062312112yes—
1657C4C22×D4×D1111yescharacteristic
1658C4C2×#6703711yescharacteristic
1659C2—22no—
1660C2—22no—
1661C2—41no—
1662C2—42no—
1663C2—82no—
1664C2—81no—
1665C2—222no—
1666C2—441no—
1667C2—444no—
1668C2—882no—
1669C2—881no—
1670C2C2×#1062312111yescharacteristic
1671C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
1672C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3006C2
socleC22×C11C23×D4
hypercenter#3006D11
hypocenterC11D4×AGL(1,ℤ/8)
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3006

Complements

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

NH ≅ G/Ntype
1. C22×#67002C2semidirect
2. C2×D11×AGL(1,ℤ/8)C2semidirect
3. #41×C22⋊D11C2semidirect
4. C2×#10623140C2semidirect
5. #13080305C2semidirect
6. #13080286C2semidirect
7. #13080229C2semidirect
8. #13080209C2semidirect
9. #13080114C2semidirect
10. #13080104C2semidirect
11. #13080099C2semidirect
12. #13080089C2semidirect
13. #13079064C2semidirect
14. #13078238C2semidirect
15. #13078231C2semidirect
16. #13078094C2semidirect
17. #13078079C2semidirect
18. #13077869C2semidirect
19. #13077846C2semidirect
20. #13077841C2semidirect
21. #13077429C2semidirect
22. #13077348C2semidirect
23. C11×#3006C2semidirect
24. C22×C11×#41C22semidirect
25. C2×#41×D11C22semidirect
27. C22×D4×D11C22semidirect
28. C23×D44C22semidirect
29. C2×C11×AGL(1,ℤ/8)C22semidirect
30. C2×C11×AGL(1,ℤ/8)C22semidirect
31. C2×C11×#121C22semidirect
32. #10623365C22semidirect
34. #10623363C22semidirect
35. #10623362C22semidirect
37. #10623360C22semidirect
39. #10623359C22semidirect
40. #41×Dic11C22semidirect
42. #10623355C22semidirect
45. C2×#67002C22semidirect
46. C2×#67002C22semidirect
47. C2×#67002C22semidirect
48. C2×#67002C22semidirect
49. C2×#67002C22semidirect
50. #10623348C22semidirect
51. Q8×C22⋊D11C22semidirect
52. C22×#4325C22semidirect
54. #10623337C22semidirect
55. C2×#66993C22semidirect
57. D4×C22⋊D11C22semidirect
59. C2×#66985C22semidirect
60. C22×#4323C22semidirect
62. #10623322C22semidirect
65. C22×#4318C22semidirect
67. C2×#66967C22semidirect
68. C2×SD16×D11C22semidirect
69. C2×#66964C22semidirect
70. C2×D8×D11C22semidirect
71. C2×#66961C22semidirect
72. C2×#66961C22semidirect
73. C2×M16×D11C22semidirect
79. #10623140C22semidirect
80. #10623140C22semidirect
81. #10623140C22semidirect
82. C2×#66948C22semidirect
83. C2×#66946C22semidirect
86. C11×#449C22semidirect
87. C11×#449C22semidirect
88. C11×#448C22semidirect
89. C11×#447C22semidirect
90. C11×#417C22semidirect
91. C11×#417C22semidirect
92. C11×#407C22semidirect
93. #10622828C22semidirect
94. #10622789C22semidirect
95. #10622788C22semidirect
96. #10622782C22semidirect
97. #10622782C22semidirect
98. #10622776C22semidirect
99. #10622776C22semidirect
100. #10622769C22semidirect
101. #10622769C22semidirect
102. #10622767C22semidirect
103. #10622764C22semidirect
104. #10622763C22semidirect
105. #10622763C22semidirect
106. #10622744C22semidirect
107. #10622744C22semidirect
108. #10622739C22semidirect
109. #10622731C22semidirect
110. M16×Dic11C22semidirect
111. #10622655C22semidirect
112. #10622654C22semidirect
113. #10622652C22semidirect
114. #10622651C22semidirect
115. #10622579C22semidirect
116. #10622577C22semidirect
117. #10622432C22semidirect
118. #10622431C22semidirect
119. #10622430C22semidirect
120. #10622425C22semidirect
121. #10622424C22semidirect
122. #10622420C22semidirect
123. #10622419C22semidirect
124. #10622401C22semidirect
125. #10622400C22semidirect
126. #10622399C22semidirect
127. #10622398C22semidirect
128. #10622395C22semidirect
129. #10622394C22semidirect
130. #10622388C22semidirect
131. #10622386C22semidirect
132. #10622369C22semidirect
133. #10622345C22semidirect
134. #10622345C22semidirect
135. #10622344C22semidirect
136. #10622344C22semidirect
137. #10622343C22semidirect
138. #10622342C22semidirect
139. #10622341C22semidirect
140. (C22⋊D11)⋊C8C22semidirect
149. C2×C11×#41C23semidirect
150. C2×C11×#41C23semidirect
151. C22×Q8×C11C23semidirect
155. C22×D4×C11C23semidirect
165. C2×#4343C23semidirect
166. C2×Q8×D11C23semidirect
168. C2×#4341C23semidirect
181. C2×D4×D11C23semidirect
199. C2×C11×SD16C23semidirect
200. C2×C11×SD16C23semidirect
201. C2×C11×D8C23semidirect
202. C2×C11×D8C23semidirect
221. #67002D4semidirect
223. #67000C23semidirect
226. #66999C23semidirect
227. #66999C23semidirect
228. Q8×Dic11C23semidirect
229. Q8×Dic11C23semidirect
231. #66997C23semidirect
235. C2×#4325C23semidirect
236. C2×#4325C23semidirect
242. #66993C23semidirect
251. #66991C23semidirect
252. #66991C23semidirect
261. #66989C23semidirect
267. D4×Dic11C23semidirect
268. D4×Dic11C23semidirect
269. C2×#4324C23semidirect
274. C2×#4323C23semidirect
275. C2×#4323C23semidirect
276. C2×#4323C23semidirect
279. #66983C23semidirect
280. #66983C23semidirect
310. #66977C23semidirect
311. #66977C23semidirect
319. C2×#4318C23semidirect
320. C22×C11⋊C8C23semidirect
329. C2×D88C23semidirect
331. C2×#4314C23semidirect
332. C2×#4313C23semidirect
333. C2×C8×D11C23semidirect
350. C11×#103C23semidirect
351. C11×#103C23semidirect
352. C11×#102C23semidirect
353. C11×#102C23semidirect
354. C11×C22⋊C8C23semidirect
355. C11×C22⋊C8C23semidirect
356. #66896C23semidirect
357. #66896C23semidirect
360. #66885C23semidirect
361. #66885C23semidirect
362. (C2×D11)⋊C8C23semidirect
363. (C2×D11)⋊C8C23semidirect
364. #66879C23semidirect
365. Dic11⋊C8C23semidirect
366. Dic11⋊C8C23semidirect
367. C8×Dic11C23semidirect
368. #66874C23semidirect
369. #66873C23semidirect
370. #66872C23semidirect
371. #66871C23semidirect
399. C11×#41C2×D4semidirect
508. C2×D44C2×D4semidirect
555. #4325C2×D4semidirect
561. #4323C2×D4semidirect
599. #4318C2×D4semidirect
627. #3006D11semidirect
682. Q8×C11C22×D4semidirect
696. D4×C11C22×D4semidirect
737. C22⋊D11AGL(1,ℤ/8)semidirect
783. C11⋊C8C22×D4semidirect
785. C22×#41C2×D11semidirect
802. C2×AGL(1,ℤ/8)C2×D11semidirect
803. C2×AGL(1,ℤ/8)C2×D11semidirect
839. C2×#121C2×D11semidirect
872. #449C2×D11semidirect
873. #449C2×D11semidirect
875. #448C2×D11semidirect
881. #447C2×D11semidirect
896. #417C2×D11semidirect
897. #417C2×D11semidirect
899. #407C2×D11semidirect
921. C22×C11C2×AGL(1,ℤ/8)semidirect
945. C2×D11C2×AGL(1,ℤ/8)semidirect
962. Dic11C2×AGL(1,ℤ/8)semidirect
978. C2×#41C22×D11semidirect
979. C2×#41C22×D11semidirect
981. C22×Q8C22×D11semidirect
1013. C22×D4C22×D11semidirect
1041. C2×SD16C22×D11semidirect
1042. C2×SD16C22×D11semidirect
1052. C2×D8C22×D11semidirect
1053. C2×D8C22×D11semidirect
1177. #103C22×D11semidirect
1178. #103C22×D11semidirect
1186. #102C22×D11semidirect
1187. #102C22×D11semidirect
1190. C22⋊C8C22×D11semidirect
1191. C22⋊C8C22×D11semidirect
1242. #41D4×D11semidirect
1444. C11D4×AGL(1,ℤ/8)semidirect
1498. Q8C2×D4×D11semidirect
1544. D4C2×D4×D11semidirect
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×#670022
C2×D11×AGL(1,ℤ/8)2
#41×C22⋊D112
C2×#106231402
#130803052
#130802862
#130802292
#130802092
#130801142
#130801042
#130800992
#130800892
#130790642
#130782382
#130782312
#130780942
#130780792
#130778692
#130778462
#130778412
#130774292
#130773482
C11×#30062
D4×AGL(1,ℤ/8)11