Finite Group Databasebeta

← D11×#2879 #15617210

Subgroups — D11×#2879 #15617210

Order 2816.

5150 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D11C211yesmaximal, characteristic
2C22×M16×D11C212yesmaximal, complemented
3#13077061C211yesmaximal, characteristic, complemented
4#13077060C212yesmaximal, complemented
5#13077059C214yesmaximal, complemented
6#13077058C218yesmaximal, complemented
7D11×#408C218yesmaximal, complemented
8D11×#407C214yesmaximal, complemented
9C11×#2879C211yesmaximal, characteristic, complemented
10C22×C11×#41C2211yescharacteristic
11C2×#41×D11—216no—
12C2×#41×D11C414yes—
13C2×#41×D11C414yes—
14C2×#41×D11C2214yes—
15C2×#41×D11C2214yes—
16C22×#4343C411yescharacteristic
17C22×Q8×D11C411yescharacteristic
18C22×#4341C412yes—
19C22×#4341C411yescharacteristic
20C22×D4×D11C412yes—
21C22×D4×D11C411yescharacteristic
22C22×#4339C2212yes—
23C22×#4339C2211yescharacteristic
24C23×C4×D11C2212yes—
25C23×C4×D11C2211yescharacteristic
26C22×C11×M16C2212yescomplemented
27C22×#4318C2212yescomplemented
28C2×M16×D11—216no—
29C2×M16×D11C2214yes—
30C2×M16×D11C2214yescomplemented
31C2×M16×D11C2214yescomplemented
32C2×M16×D11C2214yescomplemented
33C22×#4313C2214yescomplemented
34C22×C8×D11C2214yescomplemented
35C11×#408C2218yescomplemented
36C11×#407C2214yescomplemented
37#10622847C2218yescomplemented
38#10622820C2214yescomplemented
39#10622742C2218yescomplemented
40#10622739C2218yescomplemented
41#10622723C2218yescomplemented
42#10622340C22132yescomplemented
43#10622339C22116yescomplemented
44D11×C22⋊C8C22116yescomplemented
45C24×D11C2×C412yes—
46C24×D11C2×C411yescharacteristic
47C2×C11×#41—28no—
48C2×C11×#41C2×C414yes—
49C2×C11×#41C2314yes—
50C22×Q8×C11C2×C411yescharacteristic
51C22×D4×C11C2×C412yes—
52C22×D4×C11C2×C411yescharacteristic
53C23×C4×C11C2312yes—
54C23×C4×C11C2311yescharacteristic
55C22×C22⋊D11C2×C412yes—
56C22×C22⋊D11C2×C412yes—
57C22×C22⋊D11C2×C412yes—
58C23×Dic11C2×C412yes—
59C23×Dic11C2×C411yescharacteristic
60#41×D11—232no—
61#41×D11—232no—
62#41×D11—216no—
63#41×D11—216no—
64#41×D11—216no—
65#41×D11—216no—
66C2×#4343—28no—
67C2×#4343C2×C414yes—
68C2×#4343C2×C414yes—
69C2×Q8×D11—28no—
70C2×Q8×D11C2×C414yes—
71C2×Q8×D11C2×C414yes—
72C2×#4341—216no—
73C2×#4341—28no—
74C2×#4341C2×C418yes—
75C2×#4341C2×C418yes—
76C2×#4341C2×C414yes—
77C2×#4341C2×C414yes—
78C2×D4×D11—216no—
79C2×D4×D11—28no—
80C2×D4×D11C2×C418yes—
81C2×D4×D11C2×C418yes—
82C2×D4×D11C2×C414yes—
83C2×D4×D11C2×C414yes—
84C2×#4339—28no—
85C2×#4339—216no—
86C2×#4339C2×C414yes—
87C2×#4339C2×C418yes—
88C2×#4339C2314yes—
89C2×#4339C2318yes—
90C22×D44C2×C412yes—
91C22×D44C2×C411yescharacteristic
92C22×C4×D11—216no—
93C22×C4×D11C2×C412yes—
94C22×C4×D11C2×C412yes—
95C22×C4×D11C2×C414yes—
96C22×C4×D11C2×C414yes—
97C22×C4×D11C2×C411yescharacteristic
98C22×C4×D11C2×C411yescharacteristic
99C22×C4×D11C2×C412yes—
100C22×C4×D11C2×C412yes—
101C22×C4×D11D4116yes—
102C22×C4×D11C2312yes—
103C22×C4×D11C2314yes—
104C22×C4×D11C2314yes—
105C22×C4×D11C2312yes—
106C22×C4×D11C2312yes—
107C22×C4×D11C2311yescharacteristic
108C22×C4×D11C2311yescharacteristic
109C22×Dic22C2×C412yes—
110C22×Dic22C2×C411yescharacteristic
111C2×C11×M16—28no—
112C2×C11×M16C2314yes—
113C2×C11×M16C2314yescomplemented
114C22×C8×C11C2314yescomplemented
115C2×#4318—28no—
116C2×#4318C2314yes—
117C2×#4318C2314yescomplemented
118C22×C11⋊C8C2314yescomplemented
119M16×D11—216no—
120M16×D11—216no—
121M16×D11—216no—
122M16×D11—216no—
123C2×#4313—216no—
124C2×#4313C2318yes—
125C2×#4313C2318yescomplemented
126C2×C8×D11—216no—
127C2×C8×D11C2318yes—
128C2×C8×D11C2318yescomplemented
129C11×C22⋊C8C23116yescomplemented
130C22⋊(C11⋊C8)C23116yescomplemented
131(C2×D11)⋊C8C23132yescomplemented
132C2×#2879—111nomaximal, Sylow
133C24×C11C22×C412yes—
134C24×C11C22×C411yescharacteristic
135C23×D11—28no—
136C23×D11—44no—
137C23×D11—48no—
138C23×D11C22⋊C418yes—
139C23×D11C22×C414yes—
140C23×D11C22×C411yescharacteristic
141C23×D11C22×C412yes—
142C23×D11C22×C412yes—
143C23×D11C22×C414yes—
144C23×D11C22×C411yescharacteristic
145C23×D11C22×C412yes—
146C11×#41—216no—
147C11×#41—28no—
148C11×#41—28no—
149C2×Q8×C11—24no—
150C2×Q8×C11C22×C414yes—
151C2×D4×C11—28no—
152C2×D4×C11—24no—
153C2×D4×C11C22×C418yes—
154C2×D4×C11C22×C414yes—
155C22×C4×C11—28no—
156C22×C4×C11C22×C412yes—
157C22×C4×C11C22×C414yes—
158C22×C4×C11C22×C411yescharacteristic
159C22×C4×C11C22×C412yes—
160C22×C4×C11C2×D418yes—
161C22×C4×C11C2414yes—
162C22×C4×C11C2412yes—
163C22×C4×C11C2411yescharacteristic
164C2×C22⋊D11—28no—
165C2×C22⋊D11—28no—
166C2×C22⋊D11—28no—
167C2×C22⋊D11C22×C418yes—
168C2×C22⋊D11C22×C418yes—
169C2×C22⋊D11C22×C418yes—
170C22×Dic11—28no—
171C22×Dic11C22⋊C418yes—
172C22×Dic11C22×C412yes—
173C22×Dic11C22×C414yes—
174C22×Dic11C22×C414yes—
175C22×Dic11C22×C411yescharacteristic
176C22×Dic11C22×C411yescharacteristic
177C22×Dic11C22×C412yes—
178C22×Dic11C22×C412yes—
179#4343—216no—
180#4343—216no—
181Q8×D11—216no—
182Q8×D11—216no—
183#4341—232no—
184#4341—232no—
185#4341—216no—
186#4341—216no—
187D4×D11—216no—
188D4×D11—216no—
189D4×D11—232no—
190D4×D11—232no—
191#4339—232no—
192#4339—216no—
193#4339—216no—
194#4339—216no—
195#4339—28no—
196#4339—28no—
197C2×D44—28no—
198C2×D44—24no—
199C2×D44C22×C418yes—
200C2×D44C22×C414yes—
201C2×C4×D11—28no—
202C2×C4×D11—216no—
203C2×C4×D11—216no—
204C2×C4×D11—216no—
205C2×C4×D11—216no—
206C2×C4×D11—28no—
207C2×C4×D11—28no—
208C2×C4×D11C22⋊C418yes—
209C2×C4×D11C22⋊C418yes—
210C2×C4×D11C22⋊C4116yes—
211C2×C4×D11C22⋊C4116yes—
212C2×C4×D11C22×C414yes—
213C2×C4×D11C22×C414yes—
214C2×C4×D11C22×C414yes—
215C2×C4×D11C22×C414yes—
216C2×C4×D11C22×C414yes—
217C2×C4×D11C22×C411yescharacteristic
218C2×C4×D11C22×C411yescharacteristic
219C2×C4×D11C22×C412yes—
220C2×C4×D11C22×C412yes—
221C2×C4×D11C22×C412yes—
222C2×C4×D11C22×C412yes—
223C2×C4×D11C22×C412yes—
224C2×C4×D11C2×D418yes—
225C2×C4×D11C2×D418yes—
226C2×C4×D11C2×D418yes—
227C2×C4×D11C2×D418yes—
228C2×C4×D11C2×D418yes—
229C2×C4×D11C2×D418yes—
230C2×C4×D11C2414yes—
231C2×C4×D11C2411yescharacteristic
232C2×C4×D11C2412yes—
233C2×C4×D11C2411yescharacteristic
234C2×Dic22—28no—
235C2×Dic22—24no—
236C2×Dic22C22×C418yes—
237C2×Dic22C22×C414yes—
238C11×M16—28no—
239C11×M16—28no—
240C2×C8×C11—28no—
241C2×C8×C11C2418yes—
242#4318—28no—
243#4318—28no—
244C2×C11⋊C8—28no—
245C2×C11⋊C8C2418yes—
246#4313—216no—
247#4313—216no—
248C8×D11—216no—
249C8×D11—216no—
250C23×#41—111no—
251C23×M16—112no—
252#2879—118no—
253#2879—114no—
254#2879—111no—
255#2879—112no—
256#2879D1111yescharacteristic, direct product factor
257C2×#408—118no—
258C2×#407—114no—
259C23×C11—24no—
260C23×C11—42no—
261C23×C11—44no—
262C23×C11C2×C22⋊C414yes—
263C23×C11C23×C414yes—
264C23×C11C23×C411yescharacteristic
265C23×C11C23×C412yes—
266C22×D11—24no—
267C22×D11—28no—
268C22×D11—24no—
269C22×D11—28no—
270C22×D11—28no—
271C22×D11—216no—
272C22×D11—416no—
273C22×D11—44no—
274C22×D11—48no—
275C22×D11—42no—
276C22×D11—44no—
277C22×D11—432no—
278C22×D11C2×C22⋊C414yes—
279C22×D11C2×C22⋊C418yes—
280C22×D11C2×C22⋊C414yes—
281C22×D11C2×C22⋊C418yes—
282C22×D11C23×C414yes—
283C22×D11C23×C411yescharacteristic
284C22×D11C23×C412yes—
285C22×D11C23×C411yescharacteristic
286Q8×C11—28no—
287D4×C11—216no—
288D4×C11—28no—
289C2×C4×C11—24no—
290C2×C4×C11—28no—
291C2×C4×C11—28no—
292C2×C4×C11C2×C22⋊C414yes—
293C2×C4×C11C2×C22⋊C418yes—
294C2×C4×C11C23×C414yes—
295C2×C4×C11C23×C412yes—
296C2×C4×C11C23×C411yescharacteristic
297C2×C4×C11C22×D414yes—
298C2×C4×C11C22×D414yes—
299C2×C4×C11C22×D414yes—
300C2×C4×C11C2511yescharacteristic
301C22⋊D11—216no—
302C22⋊D11—216no—
303C22⋊D11—216no—
304C2×Dic11—24no—
305C2×Dic11—28no—
306C2×Dic11—28no—
307C2×Dic11C2×C22⋊C414yes—
308C2×Dic11C2×C22⋊C414yes—
309C2×Dic11C2×C22⋊C418yes—
310C2×Dic11C2×C22⋊C418yes—
311C2×Dic11C23×C414yes—
312C2×Dic11C23×C412yes—
313C2×Dic11C23×C411yescharacteristic
314C2×Dic11C23×C411yescharacteristic
315D44—216no—
316D44—28no—
317C4×D11—28no—
318C4×D11—28no—
319C4×D11—28no—
320C4×D11—28no—
321C4×D11—28no—
322C4×D11—28no—
323C4×D11C2×C22⋊C414yes—
324C4×D11C2×C22⋊C414yes—
325C4×D11C2×C22⋊C418yes—
326C4×D11C2×C22⋊C418yes—
327C4×D11C2×C22⋊C418yes—
328C4×D11C2×C22⋊C418yes—
329C4×D11C2×C22⋊C418yes—
330C4×D11C22×D414yes—
331C4×D11C22×D414yes—
332C4×D11C22×D414yes—
333C4×D11C22×D414yes—
334Dic22—28no—
335Dic22—216no—
336C8×C11—28no—
337C11⋊C8—28no—
338C22×#41—114no—
339C22×#41—114no—
340C22×#41—114no—
341C22×#41—114no—
342C22×#41—111no—
343C22×#41—112no—
344C22×#41—111no—
345C22×#41—112no—
346C22×#41—111no—
347C22×#41—2216no—
348C22×#41C2×D1111yescharacteristic
349C23×Q8—111no—
350C23×D4—111no—
351C23×D4—112no—
352C24×C4—111no—
353C24×C4—112no—
354C22×M16—112no—
355C22×M16—114no—
356C22×M16—114no—
357C22×M16—114no—
358C22×M16—114no—
359C22×M16—114no—
360C22×M16—2216no—
361C22×M16C2×D1112yescomplemented
362C23×C8—114no—
363#408—118no—
364#408—118no—
365#408—118no—
366#408—1132no—
367#408C2×D1118yescomplemented
368#407—114no—
369#407—118no—
370#407—1116no—
371#407C2×D1114yescomplemented
372C2×C22⋊C8—1116no—
373C22×C11—22no—
374C22×C11—24no—
375C22×C11—24no—
376C22×C11—28no—
377C22×C11—44no—
378C22×C11—48no—
379C22×C11C22×C22⋊C412yes—
380C22×C11C22×C22⋊C414yes—
381C22×C11C24×C411yescharacteristic
382C2×D11—22no—
383C2×D11—24no—
384C2×D11—28no—
385C2×D11—216no—
386C2×D11—24no—
387C2×D11—28no—
388C2×D11—48no—
389C2×D11—44no—
390C2×D11—416no—
391C2×D11—48no—
392C2×D11—416no—
393C2×D11C22×C22⋊C412yes—
394C2×D11C22×C22⋊C414yes—
395C2×D11C22×C22⋊C412yes—
396C2×D11#56814yes—
397C4×C11—24no—
398C4×C11C22×C22⋊C412yes—
399C4×C11C22×C22⋊C414yes—
400C4×C11C23×D412yes—
401Dic11—24no—
402Dic11C22×C22⋊C414yes—
403Dic11C22×C22⋊C412yes—
404Dic11C22×C22⋊C412yes—
405C25—111no—
406C25—112no—
407C2×#41—28no—
408C2×#41—114no—
409C2×#41—114no—
410C2×#41—118no—
411C2×#41—118no—
412C2×#41—114no—
413C2×#41—114no—
414C2×#41—118no—
415C2×#41—114no—
416C2×#41—118no—
417C2×#41—114no—
418C2×#41—2216no—
419C2×#41—2216no—
420C2×#41—228no—
421C2×#41—228no—
422C2×#41—2232no—
423C2×#41—2232no—
424C2×#41—2216no—
425C2×#41—2216no—
426C2×#41—2216no—
427C2×#41—2216no—
428C2×#41—228no—
429C2×#41C4×D1114yes—
430C2×#41C22×D1114yes—
431C22×Q8—114no—
432C22×Q8—114no—
433C22×Q8—112no—
434C22×Q8—111no—
435C22×Q8—228no—
436C22×Q8C4×D1111yescharacteristic
437C22×D4—112no—
438C22×D4—112no—
439C22×D4—112no—
440C22×D4—114no—
441C22×D4—114no—
442C22×D4—118no—
443C22×D4—118no—
444C22×D4—112no—
445C22×D4—111no—
446C22×D4—228no—
447C22×D4—2216no—
448C22×D4C4×D1112yes—
449C22×D4C4×D1111yescharacteristic
450C23×C4—111no—
451C23×C4—111no—
452C23×C4—111no—
453C23×C4—112no—
454C23×C4—112no—
455C23×C4—1116no—
456C23×C4—112no—
457C23×C4—111no—
458C23×C4—111no—
459C23×C4—112no—
460C23×C4—112no—
461C23×C4—112no—
462C23×C4—112no—
463C23×C4—114no—
464C23×C4—114no—
465C23×C4—114no—
466C23×C4—114no—
467C23×C4—112no—
468C23×C4—2216no—
469C23×C4C22×D1112yes—
470C23×C4C22×D1111yescharacteristic
471C2×M16—28no—
472C2×M16—114no—
473C2×M16—114no—
474C2×M16—118no—
475C2×M16—118no—
476C2×M16—2216no—
477C2×M16—2216no—
478C2×M16—2216no—
479C2×M16—2216no—
480C2×M16—2216no—
481C2×M16—228no—
482C2×M16C22×D1114yes—
483C2×M16C22×D1114yescomplemented
484C22×C8—114no—
485C22×C8—118no—
486C22×C8—118no—
487C22×C8—2216no—
488C22×C8C22×D1114yescomplemented
489C22⋊C8—1116no—
490C22⋊C8—1132no—
491C22⋊C8C22×D11116yescomplemented
492C2×C11—22no—
493C2×C11—24no—
494C2×C11—44no—
495C2×C11C23×C22⋊C411yescharacteristic
496C2×C11C2×#56812yes—
497D11—22no—
498D11—24no—
499D11—44no—
500D11#287914yesdirect product factor
501C24—111no—
502C24—112no—
503C24—118no—
504C24—112no—
505C24—111no—
506C24—114no—
507C24—114no—
508C24—112no—
509C24—228no—
510C24—444no—
511C24—448no—
512C24C2×C4×D1112yes—
513C24C2×C4×D1111yescharacteristic
514#41—216no—
515#41—28no—
516#41—28no—
517#41—2232no—
518#41—2216no—
519#41—2216no—
520#41—2232no—
521#41—2232no—
522#41—2216no—
523#41—2216no—
524#41—2216no—
525#41—2216no—
526#41—2216no—
527#41—228no—
528#41—228no—
529C2×Q8—24no—
530C2×Q8—118no—
531C2×Q8—114no—
532C2×Q8—228no—
533C2×Q8—2216no—
534C2×Q8—2216no—
535C2×Q8—224no—
536C2×Q8C2×C4×D1114yes—
537C2×D4—28no—
538C2×D4—24no—
539C2×D4—118no—
540C2×D4—118no—
541C2×D4—118no—
542C2×D4—118no—
543C2×D4—114no—
544C2×D4—228no—
545C2×D4—2216no—
546C2×D4—2216no—
547C2×D4—228no—
548C2×D4—2232no—
549C2×D4—2232no—
550C2×D4—228no—
551C2×D4—228no—
552C2×D4—224no—
553C2×D4C2×C4×D1118yes—
554C2×D4C2×C4×D1114yes—
555C22×C4—28no—
556C22×C4—118no—
557C22×C4—111no—
558C22×C4—111no—
559C22×C4—112no—
560C22×C4—112no—
561C22×C4—118no—
562C22×C4—118no—
563C22×C4—1116no—
564C22×C4—1116no—
565C22×C4—111no—
566C22×C4—111no—
567C22×C4—112no—
568C22×C4—112no—
569C22×C4—112no—
570C22×C4—112no—
571C22×C4—112no—
572C22×C4—118no—
573C22×C4—118no—
574C22×C4—118no—
575C22×C4—118no—
576C22×C4—118no—
577C22×C4—118no—
578C22×C4—111no—
579C22×C4—112no—
580C22×C4—111no—
581C22×C4—112no—
582C22×C4—114no—
583C22×C4—114no—
584C22×C4—114no—
585C22×C4—114no—
586C22×C4—114no—
587C22×C4—114no—
588C22×C4—114no—
589C22×C4—114no—
590C22×C4—228no—
591C22×C4—2216no—
592C22×C4—2216no—
593C22×C4—2216no—
594C22×C4—2216no—
595C22×C4—228no—
596C22×C4—228no—
597C22×C4—228no—
598C22×C4C2×C4×D1112yes—
599C22×C4C2×C4×D1114yes—
600C22×C4C2×C4×D1111yescharacteristic
601C22×C4C2×C4×D1112yes—
602C22×C4D4×D1118yes—
603C22×C4C23×D1114yes—
604C22×C4C23×D1112yes—
605C22×C4C23×D1111yescharacteristic
606M16—28no—
607M16—28no—
608M16—2216no—
609M16—2216no—
610M16—228no—
611M16—228no—
612C2×C8—28no—
613C2×C8—118no—
614C2×C8—2216no—
615C2×C8—2216no—
616C2×C8—228no—
617C2×C8C23×D1118yes—
618C11C2×#287911yescharacteristic, complemented, Sylow
619C23—24no—
620C23—42no—
621C23—44no—
622C23—111no—
623C23—114no—
624C23—118no—
625C23—111no—
626C23—112no—
627C23—118no—
628C23—114no—
629C23—114no—
630C23—228no—
631C23—224no—
632C23—228no—
633C23—228no—
634C23—2216no—
635C23—224no—
636C23—442no—
637C23—444no—
638C23—444no—
639C23—448no—
640C23—4416no—
641C23—4432no—
642C23C22⋊C4×D1114yes—
643C23C22×C4×D1114yes—
644C23C22×C4×D1111yescharacteristic
645C23C22×C4×D1112yes—
646Q8—28no—
647Q8—2216no—
648Q8—228no—
649D4—216no—
650D4—28no—
651D4—2216no—
652D4—2216no—
653D4—2216no—
654D4—2216no—
655D4—228no—
656C2×C4—24no—
657C2×C4—28no—
658C2×C4—28no—
659C2×C4—114no—
660C2×C4—114no—
661C2×C4—118no—
662C2×C4—118no—
663C2×C4—111no—
664C2×C4—111no—
665C2×C4—112no—
666C2×C4—114no—
667C2×C4—114no—
668C2×C4—118no—
669C2×C4—118no—
670C2×C4—118no—
671C2×C4—118no—
672C2×C4—118no—
673C2×C4—114no—
674C2×C4—114no—
675C2×C4—114no—
676C2×C4—114no—
677C2×C4—114no—
678C2×C4—228no—
679C2×C4—228no—
680C2×C4—228no—
681C2×C4—228no—
682C2×C4—228no—
683C2×C4—228no—
684C2×C4—224no—
685C2×C4—228no—
686C2×C4—228no—
687C2×C4C22⋊C4×D1114yes—
688C2×C4C22⋊C4×D1118yes—
689C2×C4C22×C4×D1114yes—
690C2×C4C22×C4×D1111yescharacteristic
691C2×C4C22×C4×D1112yes—
692C2×C4C2×D4×D1114yes—
693C2×C4C2×D4×D1114yes—
694C2×C4C2×D4×D1114yes—
695C2×C4C24×D1111yescharacteristic
696C8—28no—
697C8—228no—
698C22—22no—
699C22—24no—
700C22—24no—
701C22—28no—
702C22—44no—
703C22—48no—
704C22—112no—
705C22—114no—
706C22—112no—
707C22—114no—
708C22—228no—
709C22—2216no—
710C22—222no—
711C22—224no—
712C22—224no—
713C22—228no—
714C22—444no—
715C22—448no—
716C22—448no—
717C22—4416no—
718C22—4416no—
719C22C2×C22⋊C4×D1112yes—
720C22C2×C22⋊C4×D1114yes—
721C22C23×C4×D1111yescharacteristic
722C4—24no—
723C4—112no—
724C4—112no—
725C4—114no—
726C4—224no—
727C4C2×C22⋊C4×D1112yes—
728C4C2×C22⋊C4×D1114yes—
729C4C22×D4×D1112yes—
730C2—22no—
731C2—24no—
732C2—44no—
733C2—114no—
734C2—222no—
735C2—224no—
736C2—444no—
737C2C22×C22⋊C4×D1111yescharacteristic
738C2D11×#56812yes—
subgroupG/H
center, FrattiniC2×C4C24×D11
commutator, socleC22×C11C24×C4
FittingC11×#2879C2
prime radicalC22×#41×D11C2
cosocleC2×C4×C11C25
hypercenter#2879D11
hypocenterC11C2×#2879
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #2879

Complements

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

NH ≅ G/Ntype
2. C22×M16×D11C2semidirect
3. #13077061C2semidirect
4. #13077060C2semidirect
5. #13077059C2semidirect
6. #13077058C2semidirect
7. D11×#408C2semidirect
8. D11×#407C2semidirect
9. C11×#2879C2semidirect
26. C22×C11×M16C22semidirect
27. C22×#4318C22semidirect
30. C2×M16×D11C22semidirect
31. C2×M16×D11C22semidirect
32. C2×M16×D11C22semidirect
33. C22×#4313C22semidirect
34. C22×C8×D11C22semidirect
35. C11×#408C22semidirect
36. C11×#407C22semidirect
37. #10622847C22semidirect
38. #10622820C22semidirect
39. #10622742C22semidirect
40. #10622739C22semidirect
41. #10622723C22semidirect
42. #10622340C22semidirect
43. #10622339C22semidirect
44. D11×C22⋊C8C22semidirect
113. C2×C11×M16C23semidirect
114. C22×C8×C11C23semidirect
117. C2×#4318C23semidirect
118. C22×C11⋊C8C23semidirect
125. C2×#4313C23semidirect
128. C2×C8×D11C23semidirect
129. C11×C22⋊C8C23semidirect
130. C22⋊(C11⋊C8)C23semidirect
131. (C2×D11)⋊C8C23semidirect
256. #2879D11direct (N × H)
361. C22×M16C2×D11semidirect
367. #408C2×D11semidirect
371. #407C2×D11semidirect
483. C2×M16C22×D11semidirect
488. C22×C8C22×D11semidirect
491. C22⋊C8C22×D11semidirect
500. D11#2879direct (N × H)
618. C11C2×#2879semidirect

Maximal subgroups

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

subgroupindex
C22×#41×D112
C22×M16×D112
#130770612
#130770602
#130770592
#130770582
D11×#4082
D11×#4072
C11×#28792
C2×#287911