Finite Group Databasebeta

← D11×#3006 #15620142

Subgroups — D11×#3006 #15620142

Order 2816.

5422 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D11C211yesmaximal, characteristic, complemented
2C2×D11×AGL(1,ℤ/8)C212yesmaximal, complemented
3C2×D11×#121C211yesmaximal, characteristic, complemented
4#13077870C211yesmaximal, characteristic, complemented
5#13077869C212yesmaximal, complemented
6#13077868C211yesmaximal, characteristic, complemented
7#13077867C212yesmaximal, complemented
8#13077866C211yesmaximal, characteristic, complemented
9#13077865C214yesmaximal, complemented
10#13077864C212yesmaximal, complemented
11#13077863C212yesmaximal, complemented
12D11×#449C214yesmaximal, complemented
13D11×#448C212yesmaximal, complemented
14D11×#447C212yesmaximal, complemented
15D11×#417C212yesmaximal, complemented
16D11×#407C211yesmaximal, characteristic, complemented
17C11×#3006C211yesmaximal, characteristic, complemented
18C22×C11×#41C2211yescharacteristic, complemented
19C2×#41×D11—216no—
20C2×#41×D11—21no—
21C2×#41×D11—21no—
22C2×#41×D11—21no—
23C2×#41×D11—21no—
24C2×#41×D11C2212yes—
25C2×#41×D11C2212yescomplemented
26C2×#41×D11C2212yescomplemented
27C2×#41×D11C2212yescomplemented
28C22×#4343C2211yescharacteristic, complemented
29C22×Q8×D11C2211yescharacteristic, complemented
30C22×#4341—21no—
31C22×#4341C2211yescharacteristic, complemented
32C22×D4×D11—21no—
33C22×D4×D11—21no—
34C22×D4×D11C2211yescharacteristic, complemented
35C22×D4×D11C2211yescharacteristic, complemented
36C22×#4339—21no—
37C22×#4339C2211yescharacteristic, complemented
38C23×C4×D11—21no—
39C23×C4×D11C2211yescharacteristic
40C2×C11×AGL(1,ℤ/8)C2212yescomplemented
41C2×C11×#121C2211yescharacteristic, complemented
42C2×#67002C2212yescomplemented
43C2×#66992—21no—
44C2×#66991C2211yescharacteristic, complemented
45C2×#66985C2212yescomplemented
46C2×#66983C2211yescharacteristic, complemented
47D11×AGL(1,ℤ/8)—216no—
48C2×#66967C2214yescomplemented
49C2×SD16×D11C2214yescomplemented
50C2×#66964C2214yescomplemented
51C2×D8×D11C2214yescomplemented
52C2×#66961C2212yescomplemented
53C2×M16×D11C2212yescomplemented
54D11×#121—21no—
55D11×#121—21no—
56D11×#121—21no—
57D11×#121—21no—
58D11×#121C2212yes—
59D11×#121C2212yescomplemented
60D11×#121C2212yescomplemented
61D11×#121C2212yescomplemented
62C2×#66948C2211yescharacteristic, complemented
63C2×C4⋊C4×D11C2211yescharacteristic, complemented
64C2×#66937—21no—
65C2×C22⋊C4×D11—21no—
66C11×#449C2214yescomplemented
67C11×#448C2212yescomplemented
68C11×#447C2212yescomplemented
69C11×#417C2212yescomplemented
70C11×#407C2211yescharacteristic, complemented
71#10622851C2214yescomplemented
72#10622845C2212yescomplemented
73#10622840C2212yescomplemented
74#10622830C2212yescomplemented
75#10622820C2211yescharacteristic, complemented
76#10622785C2214yescomplemented
77#10622783C2214yescomplemented
78#10622771C2214yescomplemented
79#10622769C2214yescomplemented
80#10622746C2212yescomplemented
81#10622739C2212yescomplemented
82#10622653C2212yescomplemented
83#10622650C2214yescomplemented
84#10622649C2212yescomplemented
85#10622579C2212yescomplemented
86#10622424C2214yescomplemented
87#10622419C2214yescomplemented
88#10622416C2214yescomplemented
89D11×#103C2214yescomplemented
90#10622394C2214yescomplemented
91#10622386C2214yescomplemented
92#10622384C2214yescomplemented
93D11×#102C2214yescomplemented
94#10622351C2212yescomplemented
95#10622347C2214yescomplemented
96#10622345C2212yescomplemented
97#10622339C2212yescomplemented
98#10622339C2212yescomplemented
99D11×C22⋊C8C2212yescomplemented
100D11×C22⋊C8C2212yescomplemented
101C24×D11—21no—
102C24×D11—21no—
103C24×D11D411yescharacteristic
104C2×C11×#41—28no—
105C2×C11×#41—21no—
106C2×C11×#41—21no—
107C2×C11×#41C2312yes—
108C2×C11×#41C2312yescomplemented
109C22×Q8×C11C2311yescharacteristic, complemented
110C22×D4×C11—21no—
111C22×D4×C11—21no—
112C22×D4×C11C2311yescharacteristic, complemented
113C22×D4×C11C2311yescharacteristic, complemented
114C23×C4×C11—21no—
115C23×C4×C11C2311yescharacteristic
116C22×C22⋊D11—21no—
117C22×C22⋊D11—21no—
118C22×C22⋊D11—21no—
119C22×C22⋊D11—21no—
120C22×C22⋊D11—21no—
121C22×C22⋊D11—21no—
122C23×Dic11—21no—
123C23×Dic11D411yescharacteristic
124#41×D11—216no—
125#41×D11—216no—
126#41×D11—216no—
127#41×D11—216no—
128#41×D11—28no—
129#41×D11—28no—
130#41×D11—28no—
131#41×D11—28no—
132#41×D11—28no—
133#41×D11—28no—
134#41×D11—28no—
135#41×D11D4116yescomplemented
136C2×#4343—28no—
137C2×#4343—21no—
138C2×#4343—21no—
139C2×#4343C2312yes—
140C2×#4343C2312yescomplemented
141C2×Q8×D11—28no—
142C2×Q8×D11—21no—
143C2×Q8×D11—21no—
144C2×Q8×D11C2312yes—
145C2×Q8×D11C2312yescomplemented
146C2×#4341—216no—
147C2×#4341—22no—
148C2×#4341—22no—
149C2×#4341—22no—
150C2×#4341—22no—
151C2×#4341—28no—
152C2×#4341—21no—
153C2×#4341—21no—
154C2×#4341C2312yes—
155C2×#4341C2312yescomplemented
156C2×D4×D11—216no—
157C2×D4×D11—22no—
158C2×D4×D11—22no—
159C2×D4×D11—22no—
160C2×D4×D11—22no—
161C2×D4×D11—28no—
162C2×D4×D11—22no—
163C2×D4×D11—22no—
164C2×D4×D11—22no—
165C2×D4×D11—22no—
166C2×D4×D11—21no—
167C2×D4×D11—21no—
168C2×D4×D11—28no—
169C2×D4×D11—21no—
170C2×D4×D11—21no—
171C2×D4×D11—48no—
172C2×D4×D11C2312yes—
173C2×D4×D11C2312yes—
174C2×D4×D11C2312yescomplemented
175C2×D4×D11C2312yescomplemented
176C2×#4339—216no—
177C2×#4339—21no—
178C2×#4339—21no—
179C2×#4339—28no—
180C2×#4339—22no—
181C2×#4339—22no—
182C2×#4339—22no—
183C2×#4339—22no—
184C2×#4339C2312yes—
185C2×#4339C2312yescomplemented
186C22×D44—21no—
187C22×D44—21no—
188C22×D44C2311yescharacteristic, complemented
189C22×D44C2311yescharacteristic, complemented
190C22×C4×D11—216no—
191C22×C4×D11—21no—
192C22×C4×D11—21no—
193C22×C4×D11—21no—
194C22×C4×D11—22no—
195C22×C4×D11—22no—
196C22×C4×D11—22no—
197C22×C4×D11—22no—
198C22×C4×D11—28no—
199C22×C4×D11—21no—
200C22×C4×D11D411yescharacteristic
201C22×C4×D11D411yescharacteristic
202C22×C4×D11D411yescharacteristic
203C22×C4×D11D411yescharacteristic
204C22×C4×D11D411yescharacteristic
205C22×C4×D11D411yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22—21no—
213C22×Dic22C2311yescharacteristic, complemented
214C11×AGL(1,ℤ/8)—28no—
215C2×C11×SD16C2314yescomplemented
216C2×C11×D8C2314yescomplemented
217C2×C11×M16C2312yescomplemented
218C11×#121—21no—
219C11×#121—21no—
220C11×#121C2312yes—
221C11×#121C2312yescomplemented
222C2×C11×C4⋊C4C2311yescharacteristic, complemented
223C2×C11×C22⋊C4—21no—
224C2×C22⋊Dic11—21no—
225#67002—28no—
226C2×#4325C2314yescomplemented
227#66992—22no—
228#66992—22no—
229#66992—22no—
230#66992—22no—
231#66991—21no—
232#66991—21no—
233#66991C2312yes—
234#66991C2312yescomplemented
235C2×#4324C2314yescomplemented
236#66985—28no—
237C2×#4323C2314yescomplemented
238C2×#4323C2314yescomplemented
239#66983—21no—
240#66983—21no—
241#66983C2312yes—
242#66983C2312yescomplemented
243C2×(C2×D11)⋊C4—21no—
244C2×(C2×D11)⋊C4—21no—
245C2×C4⋊Dic11C2311yescharacteristic, complemented
246C2×Dic11⋊C4—21no—
247C2×#4318C2312yescomplemented
248#66967—216no—
249SD16×D11—216no—
250#66964—216no—
251D8×D11—216no—
252#66961—28no—
253M16×D11—28no—
254C2×D88C2314yescomplemented
255C2×#4314C2314yescomplemented
256C2×#4313C2314yescomplemented
257C2×C8×D11C2314yes—
258#66948—21no—
259#66948—21no—
260#66948C2312yes—
261#66948C2312yescomplemented
262C4⋊C4×D11—21no—
263C4⋊C4×D11—21no—
264C4⋊C4×D11C2312yes—
265C4⋊C4×D11C2312yescomplemented
266#66937—22no—
267#66937—22no—
268#66937—22no—
269#66937—22no—
270C22⋊C4×D11—22no—
271C22⋊C4×D11—22no—
272C22⋊C4×D11—22no—
273C22⋊C4×D11—22no—
274C11×#103C2314yescomplemented
275C11×#102C2314yescomplemented
276C11×C22⋊C8C2312yescomplemented
277C11×C22⋊C8C2312yescomplemented
278#66899C2314yescomplemented
279#66896C2314yescomplemented
280C22⋊(C11⋊C8)C2312yescomplemented
281C22⋊(C11⋊C8)C2312yescomplemented
282#66885C2314yescomplemented
283(C2×D11)⋊C8C2314yescomplemented
284(C2×D11)⋊C8C2314yescomplemented
285#66880C2314yescomplemented
286#66874C2314yescomplemented
287#66873C2314yescomplemented
288C2×#3006—111nomaximal, Sylow
289C24×C11—21no—
290C24×C11—21no—
291C24×C11C2×D411yescharacteristic
292C23×D11—28no—
293C23×D11—21no—
294C23×D11—24no—
295C23×D11—24no—
296C23×D11—22no—
297C23×D11—22no—
298C23×D11—21no—
299C23×D11—22no—
300C23×D11—22no—
301C23×D11—42no—
302C23×D11—44no—
303C23×D11—44no—
304C23×D11—44no—
305C23×D11—44no—
306C23×D11—44no—
307C23×D11C2×D411yescharacteristic
308C23×D11C2×D411yescharacteristic
309C23×D11C2×D411yescharacteristic
310C23×D11C2×D411yescharacteristic
311C23×D11C2×D411yescharacteristic
312C23×D11C2×D411yescharacteristic
313C11×#41—28no—
314C11×#41—28no—
315C11×#41—24no—
316C11×#41—24no—
317C11×#41—24no—
318C11×#41C2×D418yescomplemented
319C2×Q8×C11—24no—
320C2×Q8×C11—21no—
321C2×Q8×C11C2412yes—
322C2×D4×C11—28no—
323C2×D4×C11—22no—
324C2×D4×C11—22no—
325C2×D4×C11—24no—
326C2×D4×C11—22no—
327C2×D4×C11—22no—
328C2×D4×C11—21no—
329C2×D4×C11—24no—
330C2×D4×C11—21no—
331C2×D4×C11—44no—
332C2×D4×C11C2412yes—
333C2×D4×C11C2412yes—
334C22×C4×C11—28no—
335C22×C4×C11—21no—
336C22×C4×C11—22no—
337C22×C4×C11—22no—
338C22×C4×C11—24no—
339C22×C4×C11—21no—
340C22×C4×C11C2×D411yescharacteristic
341C22×C4×C11C2×D411yescharacteristic
342C22×C4×C11C2×D411yescharacteristic
343C22×C4×C11C2411yescharacteristic
344C22×C4×C11C2411yescharacteristic
345C22×C4×C11C2411yescharacteristic
346C2×C22⋊D11—28no—
347C2×C22⋊D11—28no—
348C2×C22⋊D11—28no—
349C2×C22⋊D11—22no—
350C2×C22⋊D11—22no—
351C2×C22⋊D11—22no—
352C2×C22⋊D11—22no—
353C2×C22⋊D11—22no—
354C2×C22⋊D11—22no—
355C2×C22⋊D11—22no—
356C2×C22⋊D11—22no—
357C2×C22⋊D11—22no—
358C2×C22⋊D11—22no—
359C2×C22⋊D11—22no—
360C2×C22⋊D11—22no—
361C2×C22⋊D11—44no—
362C2×C22⋊D11—44no—
363C2×C22⋊D11—44no—
364C22×Dic11—28no—
365C22×Dic11—24no—
366C22×Dic11—22no—
367C22×Dic11—22no—
368C22×Dic11—21no—
369C22×Dic11—21no—
370C22×Dic11C2×D411yescharacteristic
371C22×Dic11C2×D411yescharacteristic
372C22×Dic11C2×D411yescharacteristic
373C22×Dic11C2×D411yescharacteristic
374C22×Dic11C2×D411yescharacteristic
375C22×Dic11C2×D411yescharacteristic
376#4343—28no—
377#4343—28no—
378#4343—24no—
379#4343—24no—
380#4343—24no—
381#4343C2×D418yescomplemented
382Q8×D11—28no—
383Q8×D11—28no—
384Q8×D11—24no—
385Q8×D11—24no—
386Q8×D11—24no—
387Q8×D11C2×D418yescomplemented
388#4341—28no—
389#4341—216no—
390#4341—28no—
391#4341—216no—
392#4341—216no—
393#4341—216no—
394#4341—24no—
395#4341—24no—
396#4341—24no—
397#4341C2×D418yescomplemented
398D4×D11—28no—
399D4×D11—216no—
400D4×D11—216no—
401D4×D11—28no—
402D4×D11—216no—
403D4×D11—24no—
404D4×D11—24no—
405D4×D11—216no—
406D4×D11—28no—
407D4×D11—28no—
408D4×D11—24no—
409D4×D11—48no—
410D4×D11—48no—
411D4×D11—48no—
412D4×D11—44no—
413D4×D11—44no—
414D4×D11—48no—
415D4×D11C2×D418yescomplemented
416#4339—216no—
417#4339—216no—
418#4339—28no—
419#4339—216no—
420#4339—28no—
421#4339—24no—
422#4339—216no—
423#4339—24no—
424#4339—24no—
425#4339C2×D418yescomplemented
426C2×D44—28no—
427C2×D44—24no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—22no—
432C2×D44—21no—
433C2×D44—21no—
434C2×D44—24no—
435C2×D44—44no—
436C2×D44C2412yes—
437C2×D44C2412yes—
438C2×C4×D11—28no—
439C2×C4×D11—28no—
440C2×C4×D11—28no—
441C2×C4×D11—216no—
442C2×C4×D11—216no—
443C2×C4×D11—216no—
444C2×C4×D11—24no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—24no—
448C2×C4×D11—216no—
449C2×C4×D11—24no—
450C2×C4×D11—24no—
451C2×C4×D11—24no—
452C2×C4×D11—24no—
453C2×C4×D11—24no—
454C2×C4×D11—24no—
455C2×C4×D11—24no—
456C2×C4×D11—24no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—24no—
464C2×C4×D11—44no—
465C2×C4×D11C2×D418yes—
466C2×C4×D11C2×D411yescharacteristic
467C2×C4×D11C2×D411yescharacteristic
468C2×C4×D11C2×D411yescharacteristic
469C2×C4×D11C2×D411yescharacteristic
470C2×C4×D11C2×D411yescharacteristic
471C2×C4×D11C2×D411yescharacteristic
472C2×C4×D11C2×D411yescharacteristic
473C2×C4×D11C2×D411yescharacteristic
474C2×C4×D11C2×D411yescharacteristic
475C2×C4×D11C2×D411yescharacteristic
476C2×C4×D11C2×D411yescharacteristic
477C2×C4×D11C2×D411yescharacteristic
478C2×C4×D11C2411yescharacteristic
479C2×C4×D11C2411yescharacteristic
480C2×C4×D11C2411yescharacteristic
481C2×C4×D11C2411yescharacteristic
482C2×Dic22—28no—
483C2×Dic22—22no—
484C2×Dic22—22no—
485C2×Dic22—24no—
486C2×Dic22—21no—
487C2×Dic22C2412yes—
488C11×SD16—28no—
489C11×D8—28no—
490C11×M16—24no—
491C2×C8×C11C2414yes—
492C11×C4⋊C4—21no—
493C11×C4⋊C4C2412yes—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498#4325—28no—
499#4324—28no—
500#4323—28no—
501#4323—28no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506C4⋊Dic11—21no—
507C4⋊Dic11C2412yes—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510#4318—24no—
511C2×C11⋊C8C2414yes—
512D88—28no—
513#4314—28no—
514#4313—28no—
515C8×D11—28no—
516C23×#41—111no—
517C22×AGL(1,ℤ/8)—112no—
518C22×#121—111no—
519#3006—114no—
520#3006—112no—
521#3006—112no—
522#3006—112no—
523#3006—111no—
524#3006—111no—
525#3006—112no—
526#3006—111no—
527#3006D1111yescharacteristic, direct product factor
528C2×#449—114no—
529C2×#448—112no—
530C2×#447—112no—
531C2×#417—112no—
532C2×#407—111no—
533C23×C11—24no—
534C23×C11—22no—
535C23×C11—22no—
536C23×C11—22no—
537C23×C11—22no—
538C23×C11—41no—
539C23×C11—42no—
540C23×C11—42no—
541C23×C11—42no—
542C23×C11—42no—
543C23×C11—42no—
544C23×C11C22×D411yescharacteristic
545C23×C11C22×D411yescharacteristic
546C23×C11C22×D411yescharacteristic
547C22×D11—22no—
548C22×D11—22no—
549C22×D11—22no—
550C22×D11—22no—
551C22×D11—24no—
552C22×D11—28no—
553C22×D11—22no—
554C22×D11—22no—
555C22×D11—22no—
556C22×D11—22no—
557C22×D11—22no—
558C22×D11—22no—
559C22×D11—28no—
560C22×D11—22no—
561C22×D11—22no—
562C22×D11—22no—
563C22×D11—22no—
564C22×D11—22no—
565C22×D11—41no—
566C22×D11—41no—
567C22×D11—41no—
568C22×D11—416no—
569C22×D11—44no—
570C22×D11—432no—
571C22×D11—44no—
572C22×D11—44no—
573C22×D11—42no—
574C22×D11—42no—
575C22×D11—44no—
576C22×D11—44no—
577C22×D11—44no—
578C22×D11—42no—
579C22×D11—42no—
580C22×D11—42no—
581C22×D11—44no—
582C22×D11—44no—
583C22×D11—44no—
584C22×D11—44no—
585C22×D11—816no—
586C22×D11#12014yes—
587C22×D11AGL(1,ℤ/8)14yescomplemented
588C22×D11C22×D411yescharacteristic
589C22×D11C22×D411yescharacteristic
590C22×D11C22×D411yescharacteristic
591C22×D11C22×D411yescharacteristic
592Q8×C11—24no—
593Q8×C11—22no—
594Q8×C11C22×D414yescomplemented
595D4×C11—28no—
596D4×C11—24no—
597D4×C11—28no—
598D4×C11—22no—
599D4×C11—24no—
600D4×C11—44no—
601D4×C11—44no—
602D4×C11—42no—
603D4×C11C22×D414yescomplemented
604C2×C4×C11—24no—
605C2×C4×C11—28no—
606C2×C4×C11—22no—
607C2×C4×C11—22no—
608C2×C4×C11—22no—
609C2×C4×C11—28no—
610C2×C4×C11—22no—
611C2×C4×C11—22no—
612C2×C4×C11—22no—
613C2×C4×C11—22no—
614C2×C4×C11—42no—
615C2×C4×C11C22×D411yescharacteristic
616C2×C4×C11C22×D411yescharacteristic
617C2×C4×C11C22×D411yescharacteristic
618C2×C4×C11C22×D414yes—
619C2×C4×C11C2511yescharacteristic
620C22⋊D11—28no—
621C22⋊D11—28no—
622C22⋊D11—28no—
623C22⋊D11—28no—
624C22⋊D11—28no—
625C22⋊D11—28no—
626C22⋊D11—44no—
627C22⋊D11—44no—
628C22⋊D11—44no—
629C22⋊D11—44no—
630C22⋊D11—44no—
631C22⋊D11—44no—
632C2×Dic11—24no—
633C2×Dic11—28no—
634C2×Dic11—22no—
635C2×Dic11—22no—
636C2×Dic11—22no—
637C2×Dic11—22no—
638C2×Dic11—22no—
639C2×Dic11—22no—
640C2×Dic11—28no—
641C2×Dic11—22no—
642C2×Dic11—42no—
643C2×Dic11#12014yes—
644C2×Dic11C22×D411yescharacteristic
645C2×Dic11C22×D411yescharacteristic
646C2×Dic11C22×D411yescharacteristic
647C2×Dic11C22×D411yescharacteristic
648D44—28no—
649D44—24no—
650D44—28no—
651D44—22no—
652D44—24no—
653D44—44no—
654D44—44no—
655D44—42no—
656D44C22×D414yescomplemented
657C4×D11—28no—
658C4×D11—28no—
659C4×D11—28no—
660C4×D11—22no—
661C4×D11—28no—
662C4×D11—22no—
663C4×D11—22no—
664C4×D11—22no—
665C4×D11—22no—
666C4×D11—28no—
667C4×D11—22no—
668C4×D11—22no—
669C4×D11—22no—
670C4×D11—22no—
671C4×D11—28no—
672C4×D11—22no—
673C4×D11—22no—
674C4×D11—22no—
675C4×D11—44no—
676C4×D11—44no—
677C4×D11#12014yes—
678C4×D11#12014yes—
679C4×D11C22×D414yes—
680C4×D11C22×D414yes—
681Dic22—28no—
682Dic22—24no—
683Dic22—22no—
684Dic22—28no—
685Dic22C22×D414yescomplemented
686C8×C11—24no—
687C11⋊C8—24no—
688C22×#41—112no—
689C22×#41—112no—
690C22×#41—112no—
691C22×#41—112no—
692C22×#41—111no—
693C22×#41—111no—
694C22×#41—111no—
695C22×#41—221no—
696C22×#41—221no—
697C22×#41—221no—
698C22×#41—221no—
699C22×#41—221no—
700C22×#41—221no—
701C22×#41—2216no—
702C22×#41C2×D1111yescharacteristic, complemented
703C23×Q8—111no—
704C23×D4—111no—
705C23×D4—111no—
706C23×D4—221no—
707C23×D4—221no—
708C24×C4—111no—
709C24×C4—221no—
710C2×AGL(1,ℤ/8)—112no—
711C2×AGL(1,ℤ/8)—112no—
712C2×AGL(1,ℤ/8)—114no—
713C2×AGL(1,ℤ/8)—114no—
714C2×AGL(1,ℤ/8)—112no—
715C2×AGL(1,ℤ/8)—2216no—
716C2×AGL(1,ℤ/8)C2×D1112yescomplemented
717C22×SD16—114no—
718C22×D8—114no—
719C22×M16—112no—
720C2×#121—111no—
721C2×#121—111no—
722C2×#121—112no—
723C2×#121—112no—
724C2×#121—112no—
725C2×#121—112no—
726C2×#121—111no—
727C2×#121—221no—
728C2×#121—221no—
729C2×#121—221no—
730C2×#121—221no—
731C2×#121—221no—
732C2×#121—221no—
733C2×#121C2×D1111yescharacteristic, complemented
734C22×C4⋊C4—111no—
735C22×C22⋊C4—221no—
736#449—114no—
737#449—114no—
738#449—114no—
739#449—114no—
740#449—114no—
741#449—114no—
742#449—114no—
743#449C2×D1114yescomplemented
744#448—112no—
745#448—114no—
746#448—112no—
747#448—114no—
748#448—112no—
749#448C2×D1112yescomplemented
750#447—112no—
751#447—114no—
752#447—112no—
753#447—114no—
754#447—112no—
755#447C2×D1112yescomplemented
756#417—112no—
757#417—112no—
758#417—112no—
759#417—114no—
760#417—114no—
761#417C2×D1112yescomplemented
762C2×#103—114no—
763C2×#102—114no—
764#407—111no—
765#407—112no—
766#407—112no—
767#407—112no—
768#407C2×D1111yescharacteristic, complemented
769C2×C22⋊C8—112no—
770C2×C22⋊C8—112no—
771C22×C11—21no—
772C22×C11—21no—
773C22×C11—21no—
774C22×C11—21no—
775C22×C11—21no—
776C22×C11—24no—
777C22×C11—21no—
778C22×C11—21no—
779C22×C11—44no—
780C22×C11—48no—
781C22×C11—42no—
782C22×C11—42no—
783C22×C11—42no—
784C22×C11—42no—
785C22×C11—42no—
786C22×C11—84no—
787C22×C11C2×#12012yes—
788C22×C11C2×AGL(1,ℤ/8)12yescomplemented
789C22×C11C23×D411yescharacteristic
790C2×D11—21no—
791C2×D11—21no—
792C2×D11—21no—
793C2×D11—21no—
794C2×D11—28no—
795C2×D11—28no—
796C2×D11—24no—
797C2×D11—21no—
798C2×D11—21no—
799C2×D11—21no—
800C2×D11—44no—
801C2×D11—44no—
802C2×D11—44no—
803C2×D11—416no—
804C2×D11—48no—
805C2×D11—42no—
806C2×D11—42no—
807C2×D11—44no—
808C2×D11—416no—
809C2×D11—42no—
810C2×D11—42no—
811C2×D11—42no—
812C2×D11—88no—
813C2×D11—84no—
814C2×D11—88no—
815C2×D11C2×#12012yes—
816C2×D11C2×#12012yes—
817C2×D11C2×AGL(1,ℤ/8)12yes—
818C2×D11C2×AGL(1,ℤ/8)12yescomplemented
819C2×D11#57512yes—
820C4×C11—21no—
821C4×C11—24no—
822C4×C11—21no—
823C4×C11—42no—
824C4×C11C2×#12012yes—
825C4×C11C23×D412yes—
826Dic11—21no—
827Dic11—24no—
828Dic11—21no—
829Dic11—42no—
830Dic11C2×#12012yes—
831Dic11C2×#12012yes—
832C25—111no—
833C25—221no—
834C25—221no—
835C2×#41—28no—
836C2×#41—21no—
837C2×#41—21no—
838C2×#41—1116no—
839C2×#41—112no—
840C2×#41—112no—
841C2×#41—112no—
842C2×#41—112no—
843C2×#41—112no—
844C2×#41—112no—
845C2×#41—222no—
846C2×#41—222no—
847C2×#41—222no—
848C2×#41—222no—
849C2×#41—228no—
850C2×#41—2216no—
851C2×#41—222no—
852C2×#41—222no—
853C2×#41—222no—
854C2×#41—222no—
855C2×#41—221no—
856C2×#41—221no—
857C2×#41—221no—
858C2×#41—221no—
859C2×#41—228no—
860C2×#41—228no—
861C2×#41—2216no—
862C2×#41—228no—
863C2×#41—228no—
864C2×#41—228no—
865C2×#41—228no—
866C2×#41—228no—
867C2×#41—228no—
868C2×#41—2216no—
869C2×#41—2216no—
870C2×#41—2216no—
871C2×#41—2216no—
872C2×#41—228no—
873C2×#41—221no—
874C2×#41—221no—
875C2×#41C22×D1112yes—
876C2×#41C22×D1112yescomplemented
877C22×Q8—112no—
878C22×Q8—112no—
879C22×Q8—111no—
880C22×Q8—221no—
881C22×Q8—221no—
882C22×Q8—221no—
883C22×Q8—228no—
884C22×Q8C22×D1111yescharacteristic, complemented
885C22×D4—21no—
886C22×D4—21no—
887C22×D4—112no—
888C22×D4—112no—
889C22×D4—112no—
890C22×D4—112no—
891C22×D4—111no—
892C22×D4—111no—
893C22×D4—221no—
894C22×D4—221no—
895C22×D4—221no—
896C22×D4—221no—
897C22×D4—228no—
898C22×D4—221no—
899C22×D4—221no—
900C22×D4—221no—
901C22×D4—221no—
902C22×D4—228no—
903C22×D4—222no—
904C22×D4—222no—
905C22×D4—222no—
906C22×D4—222no—
907C22×D4—2216no—
908C22×D4—222no—
909C22×D4—222no—
910C22×D4—222no—
911C22×D4—222no—
912C22×D4—221no—
913C22×D4—221no—
914C22×D4—221no—
915C22×D4—221no—
916C22×D4—448no—
917C22×D4C22×D1111yescharacteristic, complemented
918C22×D4C22×D1111yescharacteristic, complemented
919C23×C4—21no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—228no—
934C23×C4—221no—
935C23×C4—222no—
936C23×C4—222no—
937C23×C4—222no—
938C23×C4—222no—
939C23×C4—221no—
940C23×C4—2216no—
941C23×C4—221no—
942C23×C4—221no—
943C23×C4—221no—
944C23×C4C22×D1111yescharacteristic
945AGL(1,ℤ/8)—28no—
946AGL(1,ℤ/8)—228no—
947AGL(1,ℤ/8)—2216no—
948AGL(1,ℤ/8)—2216no—
949AGL(1,ℤ/8)—228no—
950AGL(1,ℤ/8)—228no—
951C2×SD16—114no—
952C2×SD16—114no—
953C2×SD16—114no—
954C2×SD16—2216no—
955C2×SD16C22×D1114yescomplemented
956C2×D8—114no—
957C2×D8—114no—
958C2×D8—114no—
959C2×D8—2216no—
960C2×D8C22×D1114yescomplemented
961C2×M16—112no—
962C2×M16—114no—
963C2×M16—228no—
964C2×M16C22×D1112yescomplemented
965C22×C8—114no—
966#121—21no—
967#121—21no—
968#121—112no—
969#121—112no—
970#121—112no—
971#121—112no—
972#121—112no—
973#121—112no—
974#121—222no—
975#121—222no—
976#121—222no—
977#121—222no—
978#121—221no—
979#121—221no—
980#121—221no—
981#121—221no—
982#121—222no—
983#121—222no—
984#121—222no—
985#121—222no—
986#121—221no—
987#121—221no—
988#121C22×D1112yes—
989#121C22×D1112yescomplemented
990C2×C4⋊C4—111no—
991C2×C4⋊C4—112no—
992C2×C4⋊C4—112no—
993C2×C4⋊C4—221no—
994C2×C4⋊C4—221no—
995C2×C4⋊C4—221no—
996C2×C4⋊C4C22×D1111yescharacteristic, complemented
997C2×C22⋊C4—21no—
998C2×C22⋊C4—222no—
999C2×C22⋊C4—222no—
1000C2×C22⋊C4—222no—
1001C2×C22⋊C4—222no—
1002C2×C22⋊C4—221no—
1003C2×C22⋊C4—221no—
1004C2×C22⋊C4—221no—
1005#103—114no—
1006#103—114no—
1007#103—114no—
1008#103C22×D1114yescomplemented
1009#102—114no—
1010#102—114no—
1011#102—114no—
1012#102C22×D1114yescomplemented
1013C22⋊C8—112no—
1014C22⋊C8—112no—
1015C22⋊C8—114no—
1016C22⋊C8—114no—
1017C22⋊C8C22×D1112yescomplemented
1018C22⋊C8C22×D1112yescomplemented
1019C2×C11—22no—
1020C2×C11—22no—
1021C2×C11—41no—
1022C2×C11—44no—
1023C2×C11—82no—
1024C2×C11C22×#12011yescharacteristic
1025C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1026C2×C11C2×#57511yescharacteristic
1027D11—22no—
1028D11—22no—
1029D11—41no—
1030D11—44no—
1031D11—82no—
1032D11#300614yesdirect product factor
1033C24—21no—
1034C24—21no—
1035C24—111no—
1036C24—111no—
1037C24—111no—
1038C24—111no—
1039C24—111no—
1040C24—111no—
1041C24—222no—
1042C24—222no—
1043C24—224no—
1044C24—224no—
1045C24—222no—
1046C24—222no—
1047C24—228no—
1048C24—221no—
1049C24—221no—
1050C24—444no—
1051C24—444no—
1052C24—442no—
1053C24—444no—
1054C24—444no—
1055C24—444no—
1056C24D4×D1111yescharacteristic
1057#41—28no—
1058#41—28no—
1059#41—24no—
1060#41—24no—
1061#41—24no—
1062#41—118no—
1063#41—118no—
1064#41—118no—
1065#41—2216no—
1066#41—224no—
1067#41—224no—
1068#41—2216no—
1069#41—2216no—
1070#41—228no—
1071#41—2216no—
1072#41—228no—
1073#41—2216no—
1074#41—224no—
1075#41—224no—
1076#41—224no—
1077#41—228no—
1078#41—2216no—
1079#41—228no—
1080#41—2216no—
1081#41—2216no—
1082#41—224no—
1083#41—228no—
1084#41—228no—
1085#41—224no—
1086#41—224no—
1087#41—224no—
1088#41D4×D1118yescomplemented
1089C2×Q8—24no—
1090C2×Q8—21no—
1091C2×Q8—118no—
1092C2×Q8—112no—
1093C2×Q8—222no—
1094C2×Q8—222no—
1095C2×Q8—224no—
1096C2×Q8—228no—
1097C2×Q8—224no—
1098C2×Q8—224no—
1099C2×Q8—228no—
1100C2×Q8—228no—
1101C2×Q8—224no—
1102C2×Q8—221no—
1103C2×Q8C23×D1112yes—
1104C2×D4—28no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—24no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—21no—
1111C2×D4—24no—
1112C2×D4—21no—
1113C2×D4—44no—
1114C2×D4—118no—
1115C2×D4—112no—
1116C2×D4—112no—
1117C2×D4—224no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—228no—
1121C2×D4—222no—
1122C2×D4—222no—
1123C2×D4—224no—
1124C2×D4—228no—
1125C2×D4—228no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—224no—
1131C2×D4—2216no—
1132C2×D4—228no—
1133C2×D4—228no—
1134C2×D4—2216no—
1135C2×D4—2216no—
1136C2×D4—2216no—
1137C2×D4—222no—
1138C2×D4—222no—
1139C2×D4—228no—
1140C2×D4—228no—
1141C2×D4—228no—
1142C2×D4—222no—
1143C2×D4—222no—
1144C2×D4—224no—
1145C2×D4—222no—
1146C2×D4—222no—
1147C2×D4—222no—
1148C2×D4—222no—
1149C2×D4—221no—
1150C2×D4—224no—
1151C2×D4—221no—
1152C2×D4—444no—
1153C2×D4—444no—
1154C2×D4—444no—
1155C2×D4—444no—
1156C2×D4—448no—
1157C2×D4—448no—
1158C2×D4—448no—
1159C2×D4—448no—
1160C2×D4—444no—
1161C2×D4—444no—
1162C2×D4C23×D1112yes—
1163C2×D4C23×D1112yes—
1164C22×C4—28no—
1165C22×C4—21no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—21no—
1170C22×C4—111no—
1171C22×C4—111no—
1172C22×C4—111no—
1173C22×C4—118no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—224no—
1194C22×C4—224no—
1195C22×C4—224no—
1196C22×C4—224no—
1197C22×C4—224no—
1198C22×C4—224no—
1199C22×C4—224no—
1200C22×C4—224no—
1201C22×C4—224no—
1202C22×C4—222no—
1203C22×C4—222no—
1204C22×C4—2216no—
1205C22×C4—224no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—228no—
1209C22×C4—228no—
1210C22×C4—2216no—
1211C22×C4—2216no—
1212C22×C4—228no—
1213C22×C4—2216no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—224no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—228no—
1220C22×C4—221no—
1221C22×C4—224no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—221no—
1225C22×C4—444no—
1226C22×C4D4×D1111yescharacteristic
1227C22×C4D4×D1111yescharacteristic
1228C22×C4D4×D1111yescharacteristic
1229C22×C4C23×D1111yescharacteristic
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232SD16—28no—
1233SD16—228no—
1234SD16—228no—
1235SD16—228no—
1236D8—28no—
1237D8—228no—
1238D8—228no—
1239D8—228no—
1240M16—24no—
1241M16—228no—
1242M16—224no—
1243C2×C8—114no—
1244C2×C8—228no—
1245C2×C8C23×D1114yes—
1246C4⋊C4—21no—
1247C4⋊C4—112no—
1248C4⋊C4—222no—
1249C4⋊C4—222no—
1250C4⋊C4—221no—
1251C4⋊C4C23×D1112yes—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C11C2×#300611yescharacteristic, complemented, Sylow
1261C23—24no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—41no—
1267C23—42no—
1268C23—42no—
1269C23—42no—
1270C23—42no—
1271C23—42no—
1272C23—111no—
1273C23—114no—
1274C23—114no—
1275C23—111no—
1276C23—111no—
1277C23—111no—
1278C23—222no—
1279C23—222no—
1280C23—222no—
1281C23—222no—
1282C23—228no—
1283C23—222no—
1284C23—222no—
1285C23—222no—
1286C23—222no—
1287C23—222no—
1288C23—222no—
1289C23—222no—
1290C23—224no—
1291C23—228no—
1292C23—222no—
1293C23—222no—
1294C23—222no—
1295C23—222no—
1296C23—441no—
1297C23—441no—
1298C23—441no—
1299C23—442no—
1300C23—442no—
1301C23—442no—
1302C23—444no—
1303C23—444no—
1304C23—444no—
1305C23—444no—
1306C23—444no—
1307C23—444no—
1308C23—444no—
1309C23—4416no—
1310C23—4432no—
1311C23—444no—
1312C23—444no—
1313C23—444no—
1314C23—442no—
1315C23—442no—
1316C23—8816no—
1317C23C2×D4×D1111yescharacteristic
1318C23C2×D4×D1111yescharacteristic
1319C23C2×D4×D1111yescharacteristic
1320Q8—24no—
1321Q8—22no—
1322Q8—114no—
1323Q8—228no—
1324Q8—228no—
1325Q8—224no—
1326Q8—222no—
1327Q8C2×D4×D1114yescomplemented
1328D4—28no—
1329D4—24no—
1330D4—28no—
1331D4—22no—
1332D4—24no—
1333D4—44no—
1334D4—44no—
1335D4—42no—
1336D4—114no—
1337D4—228no—
1338D4—228no—
1339D4—224no—
1340D4—228no—
1341D4—228no—
1342D4—228no—
1343D4—228no—
1344D4—228no—
1345D4—228no—
1346D4—222no—
1347D4—224no—
1348D4—444no—
1349D4—444no—
1350D4—444no—
1351D4—444no—
1352D4—444no—
1353D4—444no—
1354D4—444no—
1355D4—444no—
1356D4—442no—
1357D4C2×D4×D1114yescomplemented
1358C2×C4—24no—
1359C2×C4—28no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—28no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—42no—
1369C2×C4—114no—
1370C2×C4—111no—
1371C2×C4—111no—
1372C2×C4—114no—
1373C2×C4—114no—
1374C2×C4—114no—
1375C2×C4—114no—
1376C2×C4—111no—
1377C2×C4—111no—
1378C2×C4—222no—
1379C2×C4—222no—
1380C2×C4—222no—
1381C2×C4—222no—
1382C2×C4—228no—
1383C2×C4—222no—
1384C2×C4—222no—
1385C2×C4—222no—
1386C2×C4—222no—
1387C2×C4—228no—
1388C2×C4—228no—
1389C2×C4—228no—
1390C2×C4—228no—
1391C2×C4—222no—
1392C2×C4—222no—
1393C2×C4—222no—
1394C2×C4—222no—
1395C2×C4—228no—
1396C2×C4—224no—
1397C2×C4—228no—
1398C2×C4—222no—
1399C2×C4—222no—
1400C2×C4—222no—
1401C2×C4—222no—
1402C2×C4—228no—
1403C2×C4—222no—
1404C2×C4—222no—
1405C2×C4—222no—
1406C2×C4—444no—
1407C2×C4—444no—
1408C2×C4—442no—
1409C2×C4C2×D4×D1111yescharacteristic
1410C2×C4C2×D4×D1111yescharacteristic
1411C2×C4C2×D4×D1111yescharacteristic
1412C2×C4C2×D4×D1114yes—
1413C2×C4C24×D1111yescharacteristic
1414C8—24no—
1415C8—224no—
1416C22—21no—
1417C22—21no—
1418C22—21no—
1419C22—21no—
1420C22—21no—
1421C22—21no—
1422C22—21no—
1423C22—24no—
1424C22—44no—
1425C22—48no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—84no—
1432C22—112no—
1433C22—112no—
1434C22—112no—
1435C22—112no—
1436C22—112no—
1437C22—228no—
1438C22—228no—
1439C22—221no—
1440C22—221no—
1441C22—221no—
1442C22—221no—
1443C22—221no—
1444C22—221no—
1445C22—224no—
1446C22—221no—
1447C22—444no—
1448C22—444no—
1449C22—448no—
1450C22—444no—
1451C22—4416no—
1452C22—444no—
1453C22—4416no—
1454C22—442no—
1455C22—442no—
1456C22—442no—
1457C22—442no—
1458C22—442no—
1459C22—884no—
1460C22—888no—
1461C22—888no—
1462C22D11×#12012yes—
1463C22D11×AGL(1,ℤ/8)12yescomplemented
1464C22C22×D4×D1111yescharacteristic
1465C4—21no—
1466C4—24no—
1467C4—21no—
1468C4—42no—
1469C4—112no—
1470C4—112no—
1471C4—221no—
1472C4—221no—
1473C4—224no—
1474C4—442no—
1475C4D11×#12012yes—
1476C4C22×D4×D1112yes—
1477C2—22no—
1478C2—22no—
1479C2—41no—
1480C2—44no—
1481C2—82no—
1482C2—114no—
1483C2—222no—
1484C2—222no—
1485C2—441no—
1486C2—444no—
1487C2—882no—
1488C2C2×D11×#12011yescharacteristic
1489C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
1490C2D11×#57511yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3006C2
socleC22×C11C23×D4
hypercenter#3006D11
hypocenterC11C2×#3006
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×#41×D11C2semidirect
2. C2×D11×AGL(1,ℤ/8)C2semidirect
3. C2×D11×#121C2semidirect
4. #13077870C2semidirect
5. #13077869C2semidirect
6. #13077868C2semidirect
7. #13077867C2semidirect
8. #13077866C2semidirect
9. #13077865C2semidirect
10. #13077864C2semidirect
11. #13077863C2semidirect
12. D11×#449C2semidirect
13. D11×#448C2semidirect
14. D11×#447C2semidirect
15. D11×#417C2semidirect
16. D11×#407C2semidirect
17. C11×#3006C2semidirect
18. C22×C11×#41C22semidirect
25. C2×#41×D11C22semidirect
26. C2×#41×D11C22semidirect
27. C2×#41×D11C22semidirect
28. C22×#4343C22semidirect
29. C22×Q8×D11C22semidirect
31. C22×#4341C22semidirect
34. C22×D4×D11C22semidirect
35. C22×D4×D11C22semidirect
37. C22×#4339C22semidirect
40. C2×C11×AGL(1,ℤ/8)C22semidirect
41. C2×C11×#121C22semidirect
42. C2×#67002C22semidirect
44. C2×#66991C22semidirect
45. C2×#66985C22semidirect
46. C2×#66983C22semidirect
48. C2×#66967C22semidirect
49. C2×SD16×D11C22semidirect
50. C2×#66964C22semidirect
51. C2×D8×D11C22semidirect
52. C2×#66961C22semidirect
53. C2×M16×D11C22semidirect
59. D11×#121C22semidirect
60. D11×#121C22semidirect
61. D11×#121C22semidirect
62. C2×#66948C22semidirect
63. C2×C4⋊C4×D11C22semidirect
66. C11×#449C22semidirect
67. C11×#448C22semidirect
68. C11×#447C22semidirect
69. C11×#417C22semidirect
70. C11×#407C22semidirect
71. #10622851C22semidirect
72. #10622845C22semidirect
73. #10622840C22semidirect
74. #10622830C22semidirect
75. #10622820C22semidirect
76. #10622785C22semidirect
77. #10622783C22semidirect
78. #10622771C22semidirect
79. #10622769C22semidirect
80. #10622746C22semidirect
81. #10622739C22semidirect
82. #10622653C22semidirect
83. #10622650C22semidirect
84. #10622649C22semidirect
85. #10622579C22semidirect
86. #10622424C22semidirect
87. #10622419C22semidirect
88. #10622416C22semidirect
89. D11×#103C22semidirect
90. #10622394C22semidirect
91. #10622386C22semidirect
92. #10622384C22semidirect
93. D11×#102C22semidirect
94. #10622351C22semidirect
95. #10622347C22semidirect
96. #10622345C22semidirect
97. #10622339C22semidirect
98. #10622339C22semidirect
99. D11×C22⋊C8C22semidirect
100. D11×C22⋊C8C22semidirect
108. C2×C11×#41C23semidirect
109. C22×Q8×C11C23semidirect
112. C22×D4×C11C23semidirect
113. C22×D4×C11C23semidirect
135. #41×D11D4semidirect
140. C2×#4343C23semidirect
145. C2×Q8×D11C23semidirect
155. C2×#4341C23semidirect
174. C2×D4×D11C23semidirect
175. C2×D4×D11C23semidirect
185. C2×#4339C23semidirect
188. C22×D44C23semidirect
189. C22×D44C23semidirect
213. C22×Dic22C23semidirect
215. C2×C11×SD16C23semidirect
216. C2×C11×D8C23semidirect
217. C2×C11×M16C23semidirect
221. C11×#121C23semidirect
222. C2×C11×C4⋊C4C23semidirect
226. C2×#4325C23semidirect
234. #66991C23semidirect
235. C2×#4324C23semidirect
237. C2×#4323C23semidirect
238. C2×#4323C23semidirect
242. #66983C23semidirect
245. C2×C4⋊Dic11C23semidirect
247. C2×#4318C23semidirect
254. C2×D88C23semidirect
255. C2×#4314C23semidirect
256. C2×#4313C23semidirect
261. #66948C23semidirect
265. C4⋊C4×D11C23semidirect
274. C11×#103C23semidirect
275. C11×#102C23semidirect
276. C11×C22⋊C8C23semidirect
277. C11×C22⋊C8C23semidirect
278. #66899C23semidirect
279. #66896C23semidirect
280. C22⋊(C11⋊C8)C23semidirect
281. C22⋊(C11⋊C8)C23semidirect
282. #66885C23semidirect
283. (C2×D11)⋊C8C23semidirect
284. (C2×D11)⋊C8C23semidirect
285. #66880C23semidirect
286. #66874C23semidirect
287. #66873C23semidirect
318. C11×#41C2×D4semidirect
381. #4343C2×D4semidirect
387. Q8×D11C2×D4semidirect
397. #4341C2×D4semidirect
415. D4×D11C2×D4semidirect
425. #4339C2×D4semidirect
527. #3006D11direct (N × H)
587. C22×D11AGL(1,ℤ/8)semidirect
594. Q8×C11C22×D4semidirect
603. D4×C11C22×D4semidirect
656. D44C22×D4semidirect
685. Dic22C22×D4semidirect
702. C22×#41C2×D11semidirect
716. C2×AGL(1,ℤ/8)C2×D11semidirect
733. C2×#121C2×D11semidirect
743. #449C2×D11semidirect
749. #448C2×D11semidirect
755. #447C2×D11semidirect
761. #417C2×D11semidirect
768. #407C2×D11semidirect
788. C22×C11C2×AGL(1,ℤ/8)semidirect
818. C2×D11C2×AGL(1,ℤ/8)semidirect
876. C2×#41C22×D11semidirect
884. C22×Q8C22×D11semidirect
917. C22×D4C22×D11semidirect
918. C22×D4C22×D11semidirect
955. C2×SD16C22×D11semidirect
960. C2×D8C22×D11semidirect
964. C2×M16C22×D11semidirect
989. #121C22×D11semidirect
996. C2×C4⋊C4C22×D11semidirect
1008. #103C22×D11semidirect
1012. #102C22×D11semidirect
1017. C22⋊C8C22×D11semidirect
1018. C22⋊C8C22×D11semidirect
1032. D11#3006direct (N × H)
1088. #41D4×D11semidirect
1260. C11C2×#3006semidirect
1327. Q8C2×D4×D11semidirect
1357. D4C2×D4×D11semidirect
1463. 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×#41×D112
C2×D11×AGL(1,ℤ/8)2
C2×D11×#1212
#130778702
#130778692
#130778682
#130778672
#130778662
#130778652
#130778642
#130778632
D11×#4492
D11×#4482
D11×#4472
D11×#4172
D11×#4072
C11×#30062
C2×#300611