Finite Group Databasebeta

← AGL(1,ℤ/8)×C22⋊D11 #15629360

Subgroups — AGL(1,ℤ/8)×C22⋊D11 #15629360

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
1C2×D11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
2#41×C22⋊D11C211yesmaximal, characteristic, complemented
3C2×D4×C22⋊D11C211yesmaximal, characteristic, complemented
4SD16×C22⋊D11C212yesmaximal, complemented
5D8×C22⋊D11C212yesmaximal, complemented
6#13080230C212yesmaximal, complemented
7#13080210C212yesmaximal, complemented
8#13080111C212yesmaximal, complemented
9#13080105C212yesmaximal, complemented
10#13080096C212yesmaximal, complemented
11#13080090C212yesmaximal, complemented
12#13079064C211yesmaximal, characteristic, complemented
13#13078235C211yesmaximal, characteristic, complemented
14#13078229C211yesmaximal, characteristic, complemented
15#13078094C211yesmaximal, characteristic, complemented
16#13078077C211yesmaximal, characteristic, complemented
17#13077868C211yesmaximal, characteristic, complemented
18#13077864C211yesmaximal, characteristic, complemented
19#13077843C211yesmaximal, characteristic, complemented
20#13077841C211yesmaximal, characteristic, complemented
21AGL(1,ℤ/8)×Dic11C211yesmaximal, characteristic, complemented
22M16×C22⋊D11C211yesmaximal, characteristic, complemented
23C22×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
24C22×C11×#41C2211yescharacteristic, complemented
25C23×D4×C11C2211yescharacteristic, complemented
26C23×C22⋊D11—21no—
27C2×#41×D11C2211yescharacteristic, complemented
28C22×D4×D11C2211yescharacteristic, complemented
29C2×C11×AGL(1,ℤ/8)—28no—
30C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
31C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×C11×AGL(1,ℤ/8)C2212yescomplemented
35C2×C11×AGL(1,ℤ/8)C2212yescomplemented
36C22×C11×SD16C2212yescomplemented
37C22×C11×D8C2212yescomplemented
38C22×C11×M16C2211yescharacteristic, complemented
39C2×#67006—21no—
40#10623365C2211yescharacteristic, complemented
41#10623363—21no—
42#10623363C2211yescharacteristic, complemented
43#10623362C2211yescharacteristic, complemented
44#10623360—21no—
45#10623360C2211yescharacteristic, complemented
46#10623359—21no—
47#10623359C2211yescharacteristic, complemented
48#41×Dic11C2211yescharacteristic, complemented
49#10623355—21no—
50#10623355C2211yescharacteristic, complemented
51C2×#67002C2211yescharacteristic, complemented
52C2×#67002C2211yescharacteristic, complemented
53#10623348C2211yescharacteristic, complemented
54Q8×C22⋊D11C2211yescharacteristic, complemented
55#10623337—21no—
56#10623337C2211yescharacteristic, complemented
57C2×#66993C2211yescharacteristic, complemented
58C2×#66992—21no—
59D4×C22⋊D11—21no—
60D4×C22⋊D11—21no—
61D4×C22⋊D11—21no—
62D4×C22⋊D11—21no—
63D4×C22⋊D11—21no—
64D4×C22⋊D11C2212yes—
65D4×C22⋊D11C2212yescomplemented
66D4×C22⋊D11C2212yescomplemented
67D4×C22⋊D11C2212yescomplemented
68D4×C22⋊D11C2211yescharacteristic, complemented
69C2×#66991C2211yescharacteristic, complemented
70C2×#66990—21no—
71C2×D4×Dic11C2211yescharacteristic, complemented
72C2×#66985C2211yescharacteristic, complemented
73C2×#66985C2211yescharacteristic, complemented
74#10623322—21no—
75#10623322C2211yescharacteristic, complemented
76C2×#66983C2211yescharacteristic, complemented
77C2×C4×C22⋊D11—21no—
78C2×C4×C22⋊D11C2211yescharacteristic
79D11×AGL(1,ℤ/8)—28no—
80C2×#66967C2212yescomplemented
81C2×SD16×D11C2212yescomplemented
82C2×#66964C2212yescomplemented
83C2×D8×D11C2212yescomplemented
84C2×#66961C2211yescharacteristic, complemented
85C2×M16×D11C2211yescharacteristic, complemented
86#10622851C2212yescomplemented
87#10622851C2212yescomplemented
88#10622845C2211yescharacteristic, complemented
89#10622845C2211yescharacteristic, complemented
90#10622840C2212yescomplemented
91#10622831C2212yescomplemented
92#10622831C2212yescomplemented
93#10622830C2212yescomplemented
94#10622830C2212yescomplemented
95#10622830C2212yescomplemented
96#10622828C2211yescharacteristic, complemented
97#10622828C2211yescharacteristic, complemented
98#10622820C2211yescharacteristic, complemented
99#10622789C2212yescomplemented
100#10622788C2212yescomplemented
101#10622787C2212yescomplemented
102#10622785C2212yescomplemented
103#10622784C2212yescomplemented
104#10622783C2212yescomplemented
105#10622782C2212yescomplemented
106#10622782C2212yescomplemented
107#10622778C2212yescomplemented
108#10622777C2212yescomplemented
109#10622776C2212yescomplemented
110#10622776C2212yescomplemented
111#10622775C2212yescomplemented
112SD16×Dic11C2212yescomplemented
113#10622772C2212yescomplemented
114#10622771C2212yescomplemented
115#10622770C2212yescomplemented
116#10622769C2212yescomplemented
117#10622769C2212yescomplemented
118#10622769C2212yescomplemented
119#10622767C2212yescomplemented
120#10622766C2212yescomplemented
121#10622765C2212yescomplemented
122#10622764C2212yescomplemented
123#10622763C2212yescomplemented
124#10622763C2212yescomplemented
125#10622763C2212yescomplemented
126D8×Dic11C2212yescomplemented
127#10622748C2212yescomplemented
128#10622747C2212yescomplemented
129#10622746C2211yescharacteristic, complemented
130#10622744C2211yescharacteristic, complemented
131#10622741C2212yescomplemented
132#10622740C2212yescomplemented
133#10622739C2211yescharacteristic, complemented
134#10622734C2211yescharacteristic, complemented
135#10622731C2211yescharacteristic, complemented
136M16×Dic11C2211yescharacteristic, complemented
137#10622728C2212yescomplemented
138#10622727C2212yescomplemented
139#10622724C2212yescomplemented
140C8×C22⋊D11C2212yescomplemented
141C25×C11—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—24no—
153C22×D4×C11—21no—
154C22×D4×C11—21no—
155C22×D4×C11—21no—
156C22×D4×C11—21no—
157C22×D4×C11—42no—
158C22×D4×C11C2311yescharacteristic
159C22×D4×C11C2312yes—
160C22×D4×C11C2312yes—
161C22×D4×C11C2311yescharacteristic
162C22×D4×C11C2311yescharacteristic, complemented
163C23×C4×C11—21no—
164C23×C4×C11C2311yescharacteristic
165C22×C22⋊D11—21no—
166C22×C22⋊D11—21no—
167C22×C22⋊D11—21no—
168C22×C22⋊D11—22no—
169C22×C22⋊D11—22no—
170C22×C22⋊D11—22no—
171C22×C22⋊D11—22no—
172C22×C22⋊D11—21no—
173C22×C22⋊D11—21no—
174C22×C22⋊D11—21no—
175C22×C22⋊D11—48no—
176C22×C22⋊D11D411yescharacteristic
177C23×Dic11—21no—
178#41×D11—24no—
179#41×D11—42no—
180C2×#4343C2311yescharacteristic, complemented
181C2×Q8×D11C2311yescharacteristic, complemented
182C2×#4341—21no—
183C2×#4341C2311yescharacteristic, complemented
184C2×D4×D11—24no—
185C2×D4×D11—21no—
186C2×D4×D11—21no—
187C2×D4×D11—21no—
188C2×D4×D11—42no—
189C2×D4×D11C2312yes—
190C2×D4×D11C2312yes—
191C2×D4×D11C2311yescharacteristic, complemented
192C2×#4339—21no—
193C2×#4339C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×C4×D11—21no—
196C22×C4×D11C2311yescharacteristic
197C11×AGL(1,ℤ/8)—24no—
198C11×AGL(1,ℤ/8)—24no—
199C11×AGL(1,ℤ/8)—28no—
200C11×AGL(1,ℤ/8)—28no—
201C11×AGL(1,ℤ/8)—24no—
202C11×AGL(1,ℤ/8)D418yescomplemented
203C2×C11×SD16—28no—
204C2×C11×SD16C2312yes—
205C2×C11×SD16C2312yes—
206C2×C11×SD16C2312yescomplemented
207C2×C11×SD16C2312yescomplemented
208C2×C11×D8—28no—
209C2×C11×D8C2312yes—
210C2×C11×D8C2312yes—
211C2×C11×D8C2312yescomplemented
212C2×C11×D8C2312yescomplemented
213C2×C11×M16—24no—
214C2×C11×M16C2311yescharacteristic
215C2×C11×M16C2311yescharacteristic
216C2×C11×M16C2312yescomplemented
217C22×C8×C11C2312yescomplemented
218#67006—21no—
219#67006—21no—
220#67006—21no—
221#67006—22no—
222#67006—22no—
223#67006—22no—
224#67006—22no—
225C2×C22⋊Dic11—21no—
226C2×C22⋊Dic11—21no—
227C2×C22⋊Dic11—21no—
228C2×C22⋊Dic11D411yescharacteristic
229#67002—24no—
230#67002—42no—
231#67000—21no—
232#67000C2311yescharacteristic, complemented
233#66999—21no—
234#66999—21no—
235#66999C2311yescharacteristic, complemented
236#66999C2311yescharacteristic, complemented
237Q8×Dic11C2311yescharacteristic, complemented
238Q8×Dic11C2311yescharacteristic, complemented
239#66997—21no—
240#66997C2311yescharacteristic, complemented
241C2×#4325C2312yescomplemented
242C2×#4325C2312yescomplemented
243#66993—21no—
244#66993—21no—
245#66993—21no—
246#66993C2312yes—
247#66993C2312yes—
248#66993C2311yescharacteristic, complemented
249#66992—21no—
250#66992—21no—
251#66992—21no—
252#66992—21no—
253#66992—21no—
254#66992—22no—
255#66992—22no—
256#66992—22no—
257#66992—22no—
258#66992—21no—
259#66991—21no—
260#66991—21no—
261#66991—21no—
262#66991—21no—
263#66991C2312yes—
264#66991C2312yes—
265#66991C2311yescharacteristic, complemented
266#66991C2311yescharacteristic, complemented
267#66990—21no—
268#66990—21no—
269#66990—22no—
270#66990—22no—
271#66990—22no—
272#66990—22no—
273#66990—21no—
274#66989—21no—
275#66989C2311yescharacteristic, complemented
276#66988—21no—
277#66988—21no—
278#66988—21no—
279D4×Dic11—21no—
280D4×Dic11—21no—
281D4×Dic11—21no—
282D4×Dic11—21no—
283D4×Dic11C2312yes—
284D4×Dic11C2312yes—
285D4×Dic11C2311yescharacteristic, complemented
286D4×Dic11C2311yescharacteristic, complemented
287C2×#4324C2312yes—
288C2×#4324C2312yescomplemented
289#66985—24no—
290#66985—42no—
291C2×#4323C2312yes—
292C2×#4323C2312yescomplemented
293C2×#4323C2312yescomplemented
294C2×#4323C2312yescomplemented
295#66983—21no—
296#66983—21no—
297#66983—21no—
298#66983—21no—
299#66983C2312yes—
300#66983C2312yes—
301#66983C2311yescharacteristic, complemented
302#66983C2311yescharacteristic, complemented
303#66982—21no—
304#66982—21no—
305#66982—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11—21no—
315C4×C22⋊D11—21no—
316C4×C22⋊D11D411yescharacteristic
317C4×C22⋊D11D411yescharacteristic
318C4×C22⋊D11D411yescharacteristic
319C4×C22⋊D11D411yescharacteristic
320C4×C22⋊D11C2311yescharacteristic
321C4×C22⋊D11C2311yescharacteristic
322C4×C22⋊D11C2311yescharacteristic
323C4×C22⋊D11C2311yescharacteristic
324C2×(C2×D11)⋊C4—21no—
325C2×(C2×D11)⋊C4—21no—
326C2×(C2×D11)⋊C4D411yescharacteristic
327#66979—21no—
328#66979C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330#66977—21no—
331#66977—21no—
332#66977C2311yescharacteristic, complemented
333#66977C2311yescharacteristic, complemented
334C2×Dic11⋊C4—21no—
335C2×Dic11⋊C4D411yescharacteristic
336C2×C4×Dic11—21no—
337C2×C4×Dic11C2311yescharacteristic
338C2×#4318C2311yescharacteristic
339C2×#4318C2311yescharacteristic
340#66967—28no—
341SD16×D11—28no—
342#66964—28no—
343D8×D11—28no—
344#66961—24no—
345M16×D11—24no—
346C2×D88C2312yescomplemented
347C2×#4314C2312yescomplemented
348C2×#4313C2312yescomplemented
349C2×C8×D11C2312yescomplemented
350#66899C2312yescomplemented
351#66899C2312yescomplemented
352#66896C2312yes—
353#66896C2312yes—
354#66896C2312yescomplemented
355#66896C2312yescomplemented
356#66896C2312yescomplemented
357#66896C2312yescomplemented
358C22⋊(C11⋊C8)C2312yescomplemented
359C22⋊(C11⋊C8)C2312yescomplemented
360#66885C2312yescomplemented
361#66885C2312yescomplemented
362#66885C2312yescomplemented
363(C2×D11)⋊C8C2312yescomplemented
364(C2×D11)⋊C8C2312yescomplemented
365#66882C2312yescomplemented
366#66881C2312yescomplemented
367#66880C2312yescomplemented
368#66879C2312yescomplemented
369Dic11⋊C8C2312yescomplemented
370Dic11⋊C8C2312yescomplemented
371C8×Dic11C2312yescomplemented
372D4×AGL(1,ℤ/8)—111nomaximal, Sylow
373C24×C11—21no—
374C24×C11—21no—
375C24×C11—21no—
376C24×C11—22no—
377C24×C11—22no—
378C24×C11—44no—
379C24×C11—44no—
380C24×C11—82no—
381C24×C11C2×D411yescharacteristic
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—
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—24no—
407C2×D4×C11—24no—
408C2×D4×C11—22no—
409C2×D4×C11—21no—
410C2×D4×C11—21no—
411C2×D4×C11—21no—
412C2×D4×C11—21no—
413C2×D4×C11—22no—
414C2×D4×C11—21no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—21no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—42no—
421C2×D4×C11—42no—
422C2×D4×C11—41no—
423C2×D4×C11—44no—
424C2×D4×C11—44no—
425C2×D4×C11—44no—
426C2×D4×C11—44no—
427C2×D4×C11C2×D414yescomplemented
428C2×D4×C11C2411yescharacteristic
429C2×D4×C11C2412yes—
430C2×D4×C11C2412yes—
431C2×D4×C11C2411yescharacteristic
432C22×C4×C11—21no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—21no—
436C22×C4×C11—21no—
437C22×C4×C11—21no—
438C22×C4×C11—21no—
439C22×C4×C11—44no—
440C22×C4×C11C2×D411yescharacteristic
441C22×C4×C11C2×D411yescharacteristic
442C22×C4×C11C2×D411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C2×C22⋊D11—24no—
447C2×C22⋊D11—21no—
448C2×C22⋊D11—21no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—21no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—21no—
457C2×C22⋊D11—21no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—21no—
461C2×C22⋊D11—21no—
462C2×C22⋊D11—21no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—21no—
466C2×C22⋊D11—44no—
467C2×C22⋊D11—44no—
468C2×C22⋊D11—44no—
469C2×C22⋊D11—44no—
470C2×C22⋊D11—48no—
471C2×C22⋊D11—48no—
472C2×C22⋊D11—48no—
473C2×C22⋊D11—44no—
474C2×C22⋊D11—48no—
475C2×C22⋊D11—82no—
476C2×C22⋊D11C2×D411yescharacteristic
477C2×C22⋊D11C2×D411yescharacteristic
478C2×C22⋊D11C2×D411yescharacteristic
479C2×C22⋊D11C2×D411yescharacteristic
480C22×Dic11—21no—
481C22×Dic11—21no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—21no—
485C22×Dic11—21no—
486C22×Dic11—44no—
487C22×Dic11C2×D411yescharacteristic
488C22×Dic11C2×D411yescharacteristic
489C22×Dic11C2×D411yescharacteristic
490#4343—22no—
491#4343—41no—
492Q8×D11—22no—
493Q8×D11—41no—
494#4341—22no—
495#4341—41no—
496#4341—44no—
497D4×D11—24no—
498D4×D11—24no—
499D4×D11—22no—
500D4×D11—44no—
501D4×D11—42no—
502D4×D11—42no—
503D4×D11—41no—
504D4×D11—44no—
505D4×D11—44no—
506#4339—22no—
507#4339—22no—
508#4339—44no—
509C2×D44—21no—
510C2×D44—21no—
511C2×D44—22no—
512C2×D44—22no—
513C2×D44C2412yes—
514C2×D44C2411yescharacteristic
515C2×C4×D11—21no—
516C2×C4×D11—21no—
517C2×C4×D11—22no—
518C2×C4×D11—21no—
519C2×C4×D11—22no—
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—24no—
529C11×SD16—24no—
530C11×SD16C2×D418yescomplemented
531C11×D8—24no—
532C11×D8—24no—
533C11×D8—24no—
534C11×D8C2×D418yescomplemented
535C11×M16—24no—
536C11×M16—22no—
537C11×M16C2×D414yescomplemented
538C2×C8×C11—24no—
539C2×C8×C11C2412yes—
540C2×C8×C11C2412yes—
541C22⋊Dic11—21no—
542C22⋊Dic11—21no—
543C22⋊Dic11—21no—
544C22⋊Dic11—21no—
545C22⋊Dic11—21no—
546C22⋊Dic11—21no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—21no—
552C22⋊Dic11—21no—
553C22⋊Dic11—21no—
554C22⋊Dic11C2×D411yescharacteristic
555C22⋊Dic11C2×D411yescharacteristic
556C22⋊Dic11C2×D411yescharacteristic
557C22⋊Dic11C2×D411yescharacteristic
558#4325—24no—
559#4325—42no—
560#4324—24no—
561#4324—42no—
562#4323—24no—
563#4323—24no—
564#4323—42no—
565#4323—42no—
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—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—21no—
574(C2×D11)⋊C4C2×D411yescharacteristic
575(C2×D11)⋊C4C2×D411yescharacteristic
576(C2×D11)⋊C4C2×D411yescharacteristic
577(C2×D11)⋊C4C2×D411yescharacteristic
578C4⋊Dic11—21no—
579C4⋊Dic11—21no—
580C4⋊Dic11—21no—
581C4⋊Dic11C2412yes—
582C4⋊Dic11C2411yescharacteristic
583C4⋊Dic11C2411yescharacteristic
584Dic11⋊C4—21no—
585Dic11⋊C4—21no—
586Dic11⋊C4—21no—
587Dic11⋊C4—21no—
588Dic11⋊C4—21no—
589Dic11⋊C4—21no—
590Dic11⋊C4C2×D411yescharacteristic
591Dic11⋊C4C2×D411yescharacteristic
592Dic11⋊C4C2×D411yescharacteristic
593Dic11⋊C4C2×D411yescharacteristic
594C4×Dic11—21no—
595C4×Dic11—21no—
596C4×Dic11—21no—
597C4×Dic11C2×D411yescharacteristic
598C4×Dic11C2×D411yescharacteristic
599C4×Dic11C2411yescharacteristic
600C4×Dic11C2411yescharacteristic
601#4318—22no—
602#4318—22no—
603C2×C11⋊C8C2412yes—
604C2×C11⋊C8C2412yes—
605D88—24no—
606#4314—24no—
607#4313—24no—
608C8×D11—24no—
609C22×AGL(1,ℤ/8)—111no—
610C22×AGL(1,ℤ/8)D1111yescharacteristic, complemented
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#3003—111no—
630C4×AGL(1,ℤ/8)—111no—
631D4×M16—111no—
632C23×C11—24no—
633C23×C11—22no—
634C23×C11—22no—
635C23×C11—21no—
636C23×C11—22no—
637C23×C11—21no—
638C23×C11—22no—
639C23×C11—41no—
640C23×C11—42no—
641C23×C11—44no—
642C23×C11—44no—
643C23×C11—42no—
644C23×C11—42no—
645C23×C11—42no—
646C23×C11—44no—
647C23×C11—42no—
648C23×C11—42no—
649C23×C11—44no—
650C23×C11—42no—
651C23×C11—81no—
652C23×C11—82no—
653C23×C11—82no—
654C23×C11—816no—
655C23×C11C22×D411yescharacteristic
656C23×C11C22×D411yescharacteristic
657C23×C11C22×D411yescharacteristic
658C22×D11—22no—
659C22×D11—22no—
660C22×D11—21no—
661C22×D11—22no—
662C22×D11—41no—
663C22×D11—42no—
664C22×D11—44no—
665C22×D11—44no—
666C22×D11—44no—
667C22×D11—42no—
668C22×D11—42no—
669C22×D11—42no—
670C22×D11—44no—
671C22×D11—42no—
672C22×D11—81no—
673C22×D11—82no—
674C22×D11—82no—
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—24no—
685D4×C11—21no—
686D4×C11—22no—
687D4×C11—22no—
688D4×C11—21no—
689D4×C11—21no—
690D4×C11—22no—
691D4×C11—44no—
692D4×C11—44no—
693D4×C11—42no—
694D4×C11—42no—
695D4×C11—42no—
696D4×C11—42no—
697D4×C11—42no—
698D4×C11C22×D414yes—
699D4×C11C22×D412yescomplemented
700C2×C4×C11—22no—
701C2×C4×C11—21no—
702C2×C4×C11—24no—
703C2×C4×C11—22no—
704C2×C4×C11—22no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—42no—
711C2×C4×C11—42no—
712C2×C4×C11—42no—
713C2×C4×C11—42no—
714C2×C4×C11C22×D411yescharacteristic
715C2×C4×C11C22×D411yescharacteristic
716C2×C4×C11C22×D411yescharacteristic
717C2×C4×C11C22×D412yes—
718C2×C4×C11H(5,𝔽2)12yes—
719C2×C4×C11C2511yescharacteristic
720C22⋊D11—22no—
721C22⋊D11—22no—
722C22⋊D11—22no—
723C22⋊D11—42no—
724C22⋊D11—44no—
725C22⋊D11—44no—
726C22⋊D11—44no—
727C22⋊D11—42no—
728C22⋊D11—44no—
729C22⋊D11—44no—
730C22⋊D11—42no—
731C22⋊D11—42no—
732C22⋊D11—44no—
733C22⋊D11—42no—
734C22⋊D11—44no—
735C22⋊D11—42no—
736C22⋊D11—44no—
737C22⋊D11—81no—
738C22⋊D11—82no—
739C22⋊D11—82no—
740C22⋊D11—81no—
741C22⋊D11—81no—
742C22⋊D11AGL(1,ℤ/8)14yesdirect product factor
743C2×Dic11—22no—
744C2×Dic11—22no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—22no—
749C2×Dic11—41no—
750C2×Dic11—42no—
751C2×Dic11—44no—
752C2×Dic11—42no—
753C2×Dic11—44no—
754C2×Dic11—42no—
755C2×Dic11—81no—
756C2×Dic11C22×D411yescharacteristic
757C2×Dic11C22×D411yescharacteristic
758C2×Dic11C22×D411yescharacteristic
759C2×Dic11C22×D411yescharacteristic
760C2×Dic11C22×D411yescharacteristic
761C2×Dic11C22×D411yescharacteristic
762D44—22no—
763D44—21no—
764D44—21no—
765D44—22no—
766D44—42no—
767D44—42no—
768C4×D11—22no—
769C4×D11—22no—
770C4×D11—21no—
771C4×D11—21no—
772C4×D11—21no—
773C4×D11—21no—
774C4×D11—42no—
775C4×D11—42no—
776C4×D11—42no—
777Dic22—21no—
778Dic22—21no—
779Dic22—42no—
780C8×C11—22no—
781C8×C11C22×D414yescomplemented
782C11⋊C8—22no—
783C11⋊C8—22no—
784C22×#41—111no—
785C22×#41C2×D1111yescharacteristic, complemented
786C23×D4—111no—
787C23×D4—221no—
788C23×D4C2×D1111yescharacteristic, complemented
789C2×AGL(1,ℤ/8)—28no—
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)—111no—
797C2×AGL(1,ℤ/8)—228no—
798C2×AGL(1,ℤ/8)C2×D1111yescharacteristic
799C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
800C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
801C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
802C2×AGL(1,ℤ/8)C2×D1112yescomplemented
803C2×AGL(1,ℤ/8)C2×D1112yescomplemented
804C22×SD16—112no—
805C22×SD16C2×D1112yescomplemented
806C22×D8—112no—
807C22×D8C2×D1112yescomplemented
808C22×M16—111no—
809C22×M16C2×D1111yescharacteristic, complemented
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—111no—
835#525—221no—
836#525—221no—
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#450—112no—
869#450—112no—
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#447—112no—
881#447—112no—
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#417—111no—
897#417—111no—
898#407—111no—
899#407—111no—
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—24no—
909C22×C11—21no—
910C22×C11—44no—
911C22×C11—48no—
912C22×C11—42no—
913C22×C11—41no—
914C22×C11—42no—
915C22×C11—41no—
916C22×C11—42no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—42no—
920C22×C11—42no—
921C22×C11—41no—
922C22×C11—84no—
923C22×C11—88no—
924C22×C11—84no—
925C22×C11—88no—
926C22×C11D4212yes—
927C22×C11C2×AGL(1,ℤ/8)12yescomplemented
928C22×C11C23×D411yescharacteristic
929C2×D11—21no—
930C2×D11—21no—
931C2×D11—21no—
932C2×D11—21no—
933C2×D11—21no—
934C2×D11—44no—
935C2×D11—42no—
936C2×D11—41no—
937C2×D11—42no—
938C2×D11—41no—
939C2×D11—42no—
940C2×D11—41no—
941C2×D11—84no—
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×C11D4212yes—
951C4×C11C23×D411yescharacteristic
952C4×C11C2×H(5,𝔽2)11yescharacteristic
953Dic11—21no—
954Dic11—21no—
955Dic11—21no—
956Dic11—21no—
957Dic11—21no—
958Dic11—41no—
959Dic11—41no—
960Dic11—42no—
961Dic11—41no—
962Dic11C2×AGL(1,ℤ/8)12yescomplemented
963C25—21no—
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—24no—
983C22×D4—21no—
984C22×D4—21no—
985C22×D4—21no—
986C22×D4—21no—
987C22×D4—42no—
988C22×D4—111no—
989C22×D4—112no—
990C22×D4—112no—
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—442no—
1008C22×D4—448no—
1009C22×D4C22×D1111yescharacteristic
1010C22×D4C22×D1112yes—
1011C22×D4C22×D1112yes—
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)—24no—
1021AGL(1,ℤ/8)—28no—
1022AGL(1,ℤ/8)—28no—
1023AGL(1,ℤ/8)—24no—
1024AGL(1,ℤ/8)—224no—
1025AGL(1,ℤ/8)—224no—
1026AGL(1,ℤ/8)—228no—
1027AGL(1,ℤ/8)—228no—
1028AGL(1,ℤ/8)—224no—
1029AGL(1,ℤ/8)—442no—
1030AGL(1,ℤ/8)—442no—
1031AGL(1,ℤ/8)C22⋊D1118yesdirect product factor
1032C2×SD16—28no—
1033C2×SD16—112no—
1034C2×SD16—112no—
1035C2×SD16—112no—
1036C2×SD16—112no—
1037C2×SD16—112no—
1038C2×SD16—228no—
1039C2×SD16C22×D1112yes—
1040C2×SD16C22×D1112yes—
1041C2×SD16C22×D1112yescomplemented
1042C2×SD16C22×D1112yescomplemented
1043C2×D8—28no—
1044C2×D8—112no—
1045C2×D8—112no—
1046C2×D8—112no—
1047C2×D8—112no—
1048C2×D8—112no—
1049C2×D8—228no—
1050C2×D8C22×D1112yes—
1051C2×D8C22×D1112yes—
1052C2×D8C22×D1112yescomplemented
1053C2×D8C22×D1112yescomplemented
1054C2×M16—24no—
1055C2×M16—111no—
1056C2×M16—111no—
1057C2×M16—112no—
1058C2×M16—224no—
1059C2×M16C22×D1111yescharacteristic
1060C2×M16C22×D1111yescharacteristic
1061C2×M16C22×D1112yescomplemented
1062C22×C8—112no—
1063C22×C8C22×D1112yescomplemented
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—112no—
1091#121—112no—
1092#121—111no—
1093#121—111no—
1094#121—112no—
1095#121—112no—
1096#121—111no—
1097#121—111no—
1098#121—221no—
1099#121—221no—
1100#121—221no—
1101#121—221no—
1102#121—222no—
1103#121—222no—
1104#121—222no—
1105#121—222no—
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#121—221no—
1115#121—221no—
1116#120—222no—
1117#120—222no—
1118#120—222no—
1119#120—222no—
1120#120—221no—
1121#120—222no—
1122#120—222no—
1123#120—222no—
1124#120—222no—
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—112no—
1141C4×D4—112no—
1142C4×D4—111no—
1143C4×D4—111no—
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—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#102—112no—
1185#102—112no—
1186#102—112no—
1187#102—112no—
1188C22⋊C8—112no—
1189C22⋊C8—112no—
1190C22⋊C8—112no—
1191C22⋊C8—112no—
1192#97—112no—
1193C4×C8—112no—
1194C2×C11—22no—
1195C2×C11—22no—
1196C2×C11—44no—
1197C2×C11—42no—
1198C2×C11—41no—
1199C2×C11—81no—
1200C2×C11—82no—
1201C2×C11C2×D4211yescharacteristic
1202C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1203C2×C11#358511yescharacteristic
1204D11—22no—
1205D11—41no—
1206D11—81no—
1207D11—82no—
1208C24—21no—
1209C24—21no—
1210C24—21no—
1211C24—22no—
1212C24—22no—
1213C24—44no—
1214C24—44no—
1215C24—82no—
1216C24—111no—
1217C24—221no—
1218C24—222no—
1219C24—222no—
1220C24—221no—
1221C24—444no—
1222C24—444no—
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#41C2×C22⋊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—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—21no—
1257C2×D4—21no—
1258C2×D4—21no—
1259C2×D4—21no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—21no—
1263C2×D4—21no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—41no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—111no—
1275C2×D4—111no—
1276C2×D4—111no—
1277C2×D4—111no—
1278C2×D4—111no—
1279C2×D4—112no—
1280C2×D4—221no—
1281C2×D4—221no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—221no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—221no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—224no—
1291C2×D4—224no—
1292C2×D4—224no—
1293C2×D4—222no—
1294C2×D4—221no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—221no—
1298C2×D4—221no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—221no—
1302C2×D4—221no—
1303C2×D4—221no—
1304C2×D4—221no—
1305C2×D4—222no—
1306C2×D4—222no—
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—448no—
1316C2×D4—444no—
1317C2×D4—448no—
1318C2×D4—448no—
1319C2×D4—448no—
1320C2×D4—444no—
1321C2×D4—444no—
1322C2×D4—882no—
1323C2×D4C2×C22⋊D1114yescomplemented
1324C2×D4C23×D1111yescharacteristic
1325C2×D4C23×D1112yes—
1326C2×D4C23×D1112yes—
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—44no—
1336C22×C4—111no—
1337C22×C4—111no—
1338C22×C4—111no—
1339C22×C4—111no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—221no—
1344C22×C4—221no—
1345C22×C4—221no—
1346C22×C4—221no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—221no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—221no—
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—24no—
1364SD16—24no—
1365SD16—224no—
1366SD16—224no—
1367SD16—224no—
1368SD16—442no—
1369SD16—442no—
1370SD16C2×C22⋊D1118yescomplemented
1371D8—24no—
1372D8—24no—
1373D8—24no—
1374D8—224no—
1375D8—224no—
1376D8—224no—
1377D8—442no—
1378D8—442no—
1379D8C2×C22⋊D1118yescomplemented
1380M16—22no—
1381M16—24no—
1382M16—222no—
1383M16—222no—
1384M16—224no—
1385M16C2×C22⋊D1114yescomplemented
1386C2×C8—24no—
1387C2×C8—112no—
1388C2×C8—112no—
1389C2×C8—224no—
1390C2×C8C23×D1112yes—
1391C2×C8C23×D1112yes—
1392C4⋊C4—111no—
1393C4⋊C4—111no—
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⋊C4—221no—
1407C4⋊C4—221no—
1408C22⋊C4—111no—
1409C22⋊C4—111no—
1410C22⋊C4—111no—
1411C22⋊C4—111no—
1412C22⋊C4—111no—
1413C22⋊C4—111no—
1414C22⋊C4—111no—
1415C22⋊C4—111no—
1416C22⋊C4—221no—
1417C22⋊C4—221no—
1418C22⋊C4—221no—
1419C22⋊C4—221no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—221no—
1423C22⋊C4—221no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
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—222no—
1435C22⋊C4—222no—
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—24no—
1448C23—21no—
1449C23—22no—
1450C23—21no—
1451C23—22no—
1452C23—41no—
1453C23—42no—
1454C23—44no—
1455C23—44no—
1456C23—42no—
1457C23—42no—
1458C23—42no—
1459C23—44no—
1460C23—42no—
1461C23—44no—
1462C23—42no—
1463C23—42no—
1464C23—81no—
1465C23—82no—
1466C23—82no—
1467C23—816no—
1468C23—111no—
1469C23—111no—
1470C23—222no—
1471C23—222no—
1472C23—221no—
1473C23—222no—
1474C23—441no—
1475C23—442no—
1476C23—444no—
1477C23—444no—
1478C23—442no—
1479C23—442no—
1480C23—444no—
1481C23—442no—
1482C23—444no—
1483C23—442no—
1484C23—881no—
1485C23—882no—
1486C23—882no—
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—
1498Q8C22×C22⋊D1112yescomplemented
1499D4—24no—
1500D4—24no—
1501D4—22no—
1502D4—21no—
1503D4—21no—
1504D4—22no—
1505D4—21no—
1506D4—22no—
1507D4—44no—
1508D4—44no—
1509D4—42no—
1510D4—42no—
1511D4—42no—
1512D4—42no—
1513D4—42no—
1514D4—114no—
1515D4—222no—
1516D4—222no—
1517D4—222no—
1518D4—221no—
1519D4—222no—
1520D4—221no—
1521D4—222no—
1522D4—442no—
1523D4—444no—
1524D4—442no—
1525D4—444no—
1526D4—444no—
1527D4—442no—
1528D4—444no—
1529D4—442no—
1530D4—444no—
1531D4—444no—
1532D4—442no—
1533D4—444no—
1534D4—444no—
1535D4—442no—
1536D4—442no—
1537D4—442no—
1538D4—882no—
1539D4—882no—
1540D4—881no—
1541D4—881no—
1542D4—881no—
1543D4C22×C22⋊D1114yes—
1544D4C22×C22⋊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—21no—
1555C2×C4—42no—
1556C2×C4—42no—
1557C2×C4—42no—
1558C2×C4—42no—
1559C2×C4—111no—
1560C2×C4—111no—
1561C2×C4—111no—
1562C2×C4—111no—
1563C2×C4—111no—
1564C2×C4—111no—
1565C2×C4—222no—
1566C2×C4—222no—
1567C2×C4—222no—
1568C2×C4—222no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—222no—
1576C2×C4—221no—
1577C2×C4—442no—
1578C2×C4—442no—
1579C2×C4—444no—
1580C2×C4—442no—
1581C2×C4—441no—
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×C4#6703712yes—
1591C2×C4C22×C22⋊D1112yes—
1592C2×C4C24×D1111yescharacteristic
1593C8—22no—
1594C8—222no—
1595C8—222no—
1596C8C22×C22⋊D1114yescomplemented
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—22no—
1604C22—24no—
1605C22—21no—
1606C22—44no—
1607C22—48no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—88no—
1619C22—84no—
1620C22—84no—
1621C22—88no—
1622C22—112no—
1623C22—221no—
1624C22—221no—
1625C22—221no—
1626C22—221no—
1627C22—221no—
1628C22—444no—
1629C22—442no—
1630C22—441no—
1631C22—441no—
1632C22—442no—
1633C22—442no—
1634C22—441no—
1635C22—884no—
1636C22—888no—
1637C22—884no—
1638C22—888no—
1639C22D11×AGL(1,ℤ/8)12yescomplemented
1640C22D4×C22⋊D1112yes—
1641C22C22×D4×D1111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—22no—
1645C4—41no—
1646C4—112no—
1647C4—221no—
1648C4—221no—
1649C4—221no—
1650C4—221no—
1651C4—221no—
1652C4—441no—
1653C4—441no—
1654C4—442no—
1655C4—441no—
1656C4D4×C22⋊D1112yes—
1657C4C2×#6703711yescharacteristic
1658C4C23×C22⋊D1111yescharacteristic
1659C2—22no—
1660C2—22no—
1661C2—41no—
1662C2—44no—
1663C2—42no—
1664C2—82no—
1665C2—81no—
1666C2—222no—
1667C2—441no—
1668C2—882no—
1669C2—881no—
1670C2C2×D4×C22⋊D1111yescharacteristic
1671C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
1672C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×AGL(1,ℤ/8)C2
socleC22×C11C23×D4
hypercenterC22×AGL(1,ℤ/8)D11
hypocenterC11D4×AGL(1,ℤ/8)
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C2×D11×AGL(1,ℤ/8)C2semidirect
2. #41×C22⋊D11C2semidirect
3. C2×D4×C22⋊D11C2semidirect
4. SD16×C22⋊D11C2semidirect
5. D8×C22⋊D11C2semidirect
6. #13080230C2semidirect
7. #13080210C2semidirect
8. #13080111C2semidirect
9. #13080105C2semidirect
10. #13080096C2semidirect
11. #13080090C2semidirect
12. #13079064C2semidirect
13. #13078235C2semidirect
14. #13078229C2semidirect
15. #13078094C2semidirect
16. #13078077C2semidirect
17. #13077868C2semidirect
18. #13077864C2semidirect
19. #13077843C2semidirect
20. #13077841C2semidirect
21. AGL(1,ℤ/8)×Dic11C2semidirect
22. M16×C22⋊D11C2semidirect
23. C22×C11×AGL(1,ℤ/8)C2semidirect
24. C22×C11×#41C22semidirect
25. C23×D4×C11C22semidirect
27. C2×#41×D11C22semidirect
28. C22×D4×D11C22semidirect
31. C2×C11×AGL(1,ℤ/8)C22semidirect
32. C2×C11×AGL(1,ℤ/8)C22semidirect
33. C2×C11×AGL(1,ℤ/8)C22semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
35. C2×C11×AGL(1,ℤ/8)C22semidirect
36. C22×C11×SD16C22semidirect
37. C22×C11×D8C22semidirect
38. C22×C11×M16C22semidirect
40. #10623365C22semidirect
42. #10623363C22semidirect
43. #10623362C22semidirect
45. #10623360C22semidirect
47. #10623359C22semidirect
48. #41×Dic11C22semidirect
50. #10623355C22semidirect
51. C2×#67002C22semidirect
52. C2×#67002C22semidirect
53. #10623348C22semidirect
54. Q8×C22⋊D11C22semidirect
56. #10623337C22semidirect
57. C2×#66993C22semidirect
65. D4×C22⋊D11C22semidirect
66. D4×C22⋊D11C22semidirect
67. D4×C22⋊D11C22semidirect
68. D4×C22⋊D11C22semidirect
69. C2×#66991C22semidirect
71. C2×D4×Dic11C22semidirect
72. C2×#66985C22semidirect
73. C2×#66985C22semidirect
75. #10623322C22semidirect
76. C2×#66983C22semidirect
80. C2×#66967C22semidirect
81. C2×SD16×D11C22semidirect
82. C2×#66964C22semidirect
83. C2×D8×D11C22semidirect
84. C2×#66961C22semidirect
85. C2×M16×D11C22semidirect
86. #10622851C22semidirect
87. #10622851C22semidirect
88. #10622845C22semidirect
89. #10622845C22semidirect
90. #10622840C22semidirect
91. #10622831C22semidirect
92. #10622831C22semidirect
93. #10622830C22semidirect
94. #10622830C22semidirect
95. #10622830C22semidirect
96. #10622828C22semidirect
97. #10622828C22semidirect
98. #10622820C22semidirect
99. #10622789C22semidirect
100. #10622788C22semidirect
101. #10622787C22semidirect
102. #10622785C22semidirect
103. #10622784C22semidirect
104. #10622783C22semidirect
105. #10622782C22semidirect
106. #10622782C22semidirect
107. #10622778C22semidirect
108. #10622777C22semidirect
109. #10622776C22semidirect
110. #10622776C22semidirect
111. #10622775C22semidirect
112. SD16×Dic11C22semidirect
113. #10622772C22semidirect
114. #10622771C22semidirect
115. #10622770C22semidirect
116. #10622769C22semidirect
117. #10622769C22semidirect
118. #10622769C22semidirect
119. #10622767C22semidirect
120. #10622766C22semidirect
121. #10622765C22semidirect
122. #10622764C22semidirect
123. #10622763C22semidirect
124. #10622763C22semidirect
125. #10622763C22semidirect
126. D8×Dic11C22semidirect
127. #10622748C22semidirect
128. #10622747C22semidirect
129. #10622746C22semidirect
130. #10622744C22semidirect
131. #10622741C22semidirect
132. #10622740C22semidirect
133. #10622739C22semidirect
134. #10622734C22semidirect
135. #10622731C22semidirect
136. M16×Dic11C22semidirect
137. #10622728C22semidirect
138. #10622727C22semidirect
139. #10622724C22semidirect
140. C8×C22⋊D11C22semidirect
149. C2×C11×#41C23semidirect
150. C2×C11×#41C23semidirect
151. C22×Q8×C11C23semidirect
162. C22×D4×C11C23semidirect
180. C2×#4343C23semidirect
181. C2×Q8×D11C23semidirect
183. C2×#4341C23semidirect
191. C2×D4×D11C23semidirect
202. C11×AGL(1,ℤ/8)D4semidirect
206. C2×C11×SD16C23semidirect
207. C2×C11×SD16C23semidirect
211. C2×C11×D8C23semidirect
212. C2×C11×D8C23semidirect
216. C2×C11×M16C23semidirect
217. C22×C8×C11C23semidirect
232. #67000C23semidirect
235. #66999C23semidirect
236. #66999C23semidirect
237. Q8×Dic11C23semidirect
238. Q8×Dic11C23semidirect
240. #66997C23semidirect
241. C2×#4325C23semidirect
242. C2×#4325C23semidirect
248. #66993C23semidirect
265. #66991C23semidirect
266. #66991C23semidirect
275. #66989C23semidirect
285. D4×Dic11C23semidirect
286. D4×Dic11C23semidirect
288. C2×#4324C23semidirect
292. C2×#4323C23semidirect
293. C2×#4323C23semidirect
294. C2×#4323C23semidirect
301. #66983C23semidirect
302. #66983C23semidirect
332. #66977C23semidirect
333. #66977C23semidirect
346. C2×D88C23semidirect
347. C2×#4314C23semidirect
348. C2×#4313C23semidirect
349. C2×C8×D11C23semidirect
350. #66899C23semidirect
351. #66899C23semidirect
354. #66896C23semidirect
355. #66896C23semidirect
356. #66896C23semidirect
357. #66896C23semidirect
358. C22⋊(C11⋊C8)C23semidirect
359. C22⋊(C11⋊C8)C23semidirect
360. #66885C23semidirect
361. #66885C23semidirect
362. #66885C23semidirect
363. (C2×D11)⋊C8C23semidirect
364. (C2×D11)⋊C8C23semidirect
365. #66882C23semidirect
366. #66881C23semidirect
367. #66880C23semidirect
368. #66879C23semidirect
369. Dic11⋊C8C23semidirect
370. Dic11⋊C8C23semidirect
371. C8×Dic11C23semidirect
399. C11×#41C2×D4semidirect
427. C2×D4×C11C2×D4semidirect
530. C11×SD16C2×D4semidirect
534. C11×D8C2×D4semidirect
537. C11×M16C2×D4semidirect
610. C22×AGL(1,ℤ/8)D11semidirect
682. Q8×C11C22×D4semidirect
699. D4×C11C22×D4semidirect
742. C22⋊D11AGL(1,ℤ/8)direct (N × H)
781. C8×C11C22×D4semidirect
785. C22×#41C2×D11semidirect
788. C23×D4C2×D11semidirect
799. C2×AGL(1,ℤ/8)C2×D11semidirect
800. C2×AGL(1,ℤ/8)C2×D11semidirect
801. C2×AGL(1,ℤ/8)C2×D11semidirect
802. C2×AGL(1,ℤ/8)C2×D11semidirect
803. C2×AGL(1,ℤ/8)C2×D11semidirect
805. C22×SD16C2×D11semidirect
807. C22×D8C2×D11semidirect
809. C22×M16C2×D11semidirect
927. 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
1031. AGL(1,ℤ/8)C22⋊D11direct (N × H)
1041. C2×SD16C22×D11semidirect
1042. C2×SD16C22×D11semidirect
1052. C2×D8C22×D11semidirect
1053. C2×D8C22×D11semidirect
1061. C2×M16C22×D11semidirect
1063. C22×C8C22×D11semidirect
1242. #41C2×C22⋊D11semidirect
1323. C2×D4C2×C22⋊D11semidirect
1370. SD16C2×C22⋊D11semidirect
1379. D8C2×C22⋊D11semidirect
1385. M16C2×C22⋊D11semidirect
1444. C11D4×AGL(1,ℤ/8)semidirect
1498. Q8C22×C22⋊D11semidirect
1544. D4C22×C22⋊D11semidirect
1596. C8C22×C22⋊D11semidirect
1639. 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
C2×D11×AGL(1,ℤ/8)2
#41×C22⋊D112
C2×D4×C22⋊D112
SD16×C22⋊D112
D8×C22⋊D112
#130802302
#130802102
#130801112
#130801052
#130800962
#130800902
#130790642
#130782352
#130782292
#130780942
#130780772
#130778682
#130778642
#130778432
#130778412
AGL(1,ℤ/8)×Dic112
M16×C22⋊D112
C22×C11×AGL(1,ℤ/8)2
D4×AGL(1,ℤ/8)11