Finite Group Databasebeta

← #14769133

Subgroups — #14769133

Order 2816.

1544 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#4318C212yesmaximal, complemented
2C2×#10622850C211yesmaximal, characteristic, complemented
3C22×#66897C211yesmaximal, characteristic, complemented
4#13069466C212yesmaximal, complemented
5#13069085C212yesmaximal, complemented
6#13069080C212yesmaximal, complemented
7#13068608C211yesmaximal, characteristic, complemented
8#13068544C211yesmaximal, characteristic, complemented
9#13068537C211yesmaximal, characteristic, complemented
10C4×#66897C211yesmaximal, characteristic, complemented
11C2×C11×#546C211yesmaximal, characteristic
12C22×C11×#41C2211yescharacteristic
13C23×D4×C11C2211yescharacteristic
14C11×#546—22no—
15C11×#546—22no—
16C11×#546—22no—
17C11×#546—22no—
18C2×C11×#124C2211yescharacteristic
19C2×C11×#123C412yes—
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×C11×#121C412yes—
22C2×C11×#121C2211yescharacteristic
23C2×C11×#120C412yes—
24C2×C4×D4×C11C2211yescharacteristic
25C2×C4×D4×C11C2211yescharacteristic
26C22×C11×C22⋊C4C412yes—
27C22×#4318C2212yes—
28C22×#4318C2212yescomplemented
29#10622850—24no—
30C2×#66900C2212yescomplemented
31C2×#66900C2212yescomplemented
32C2×#66897—24no—
33C2×#66897C2211yescharacteristic
34C2×#66897C2211yescharacteristic
35C2×#66897C2212yes—
36C2×#66897C2211yescharacteristic
37C2×#66897C2212yes—
38C2×#66897C2211yescharacteristic
39#10622820C2212yes—
40#10622820C2212yescomplemented
41#10622625—22no—
42#10622624—22no—
43#10622624—22no—
44D4×C11⋊C8—22no—
45#10622537C2212yescomplemented
46C4×#4318C2212yescomplemented
47#10622168C2212yescomplemented
48#10622168C2212yescomplemented
49C25×C11C2×C412yes—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41—22no—
54C2×C11×#41—42no—
55C22×Q8×C11C2311yescharacteristic
56C22×D4×C11—22no—
57C22×D4×C11—22no—
58C22×D4×C11—22no—
59C22×D4×C11—22no—
60C22×D4×C11—42no—
61C22×D4×C11C2×C412yes—
62C22×D4×C11C2×C412yes—
63C22×D4×C11C2×C412yes—
64C22×D4×C11C2×C411yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11C2×C412yes—
68C23×C4×C11C2×C412yes—
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C11×#124—22no—
72C11×#124—22no—
73C11×#123—24no—
74C11×#123—24no—
75C11×C22⋊Q8—22no—
76C11×C22⋊Q8—22no—
77C11×#121—22no—
78C11×#121—22no—
79C11×#121—24no—
80C11×#121—24no—
81C11×#120—24no—
82C11×#120—24no—
83C4×D4×C11—22no—
84C4×D4×C11—22no—
85C4×D4×C11D412yes—
86C4×D4×C11D412yes—
87C4×D4×C11D412yes—
88C4×D4×C11D412yes—
89C2×C11×C4⋊C4C2×C412yes—
90C2×C11×C4⋊C4C2×C411yescharacteristic
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C22⋊C4—22no—
93C2×C11×C22⋊C4—22no—
94C2×C11×C22⋊C4—22no—
95C2×C11×C22⋊C4—22no—
96C2×C11×C22⋊C4C2×C412yes—
97C2×C11×C22⋊C4C2×C412yes—
98C2×C11×C22⋊C4C2×C412yes—
99C2×C11×C22⋊C4C2×C412yes—
100C2×C11×C22⋊C4C2×C412yes—
101C2×C11×C22⋊C4C2×C411yescharacteristic
102C2×C11×C22⋊C4C2×C411yescharacteristic
103C2×C42×C11C2311yescharacteristic
104C2×#4318—22no—
105C2×#4318—22no—
106C2×#4318—24no—
107C2×#4318—24no—
108C2×#4318—42no—
109C2×#4318—42no—
110C2×#4318C2312yes—
111C2×#4318C2312yes—
112C2×#4318C2312yes—
113C2×#4318C2312yes—
114C22×C11⋊C8—22no—
115C22×C11⋊C8—22no—
116#66900—24no—
117#66900—42no—
118#66897—22no—
119#66897—22no—
120#66897—22no—
121#66897—24no—
122#66897—42no—
123#66897D414yescomplemented
124C22⋊(C11⋊C8)—22no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)—22no—
127C22⋊(C11⋊C8)—22no—
128C4⋊(C11⋊C8)—22no—
129C4⋊(C11⋊C8)—22no—
130#66867—22no—
131C4×C11⋊C8—22no—
132#22408—111nomaximal, Sylow
133C24×C11—22no—
134C24×C11—22no—
135C24×C11—24no—
136C24×C11—42no—
137C24×C11—44no—
138C24×C11—82no—
139C24×C11C22×C411yescharacteristic
140C24×C11C22×C412yes—
141C24×C11C22×C411yescharacteristic
142C24×C11C22×C412yes—
143C11×#41—44no—
144C11×#41—44no—
145C11×#41—44no—
146C11×#41—44no—
147C2×Q8×C11—21no—
148C2×Q8×C11—22no—
149C2×Q8×C11—21no—
150C2×Q8×C11—22no—
151C2×D4×C11—24no—
152C2×D4×C11—24no—
153C2×D4×C11—24no—
154C2×D4×C11—24no—
155C2×D4×C11—24no—
156C2×D4×C11—22no—
157C2×D4×C11—21no—
158C2×D4×C11—22no—
159C2×D4×C11—21no—
160C2×D4×C11—22no—
161C2×D4×C11—22no—
162C2×D4×C11—44no—
163C2×D4×C11—44no—
164C2×D4×C11—44no—
165C2×D4×C11—44no—
166C2×D4×C11—42no—
167C2×D4×C11—42no—
168C2×D4×C11—42no—
169C2×D4×C11—82no—
170C2×D4×C11C22⋊C412yes—
171C2×D4×C11C22⋊C412yes—
172C2×D4×C11C2×D412yes—
173C2×D4×C11#4112yes—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—24no—
181C22×C4×C11—22no—
182C22×C4×C11—22no—
183C22×C4×C11—22no—
184C22×C4×C11—22no—
185C22×C4×C11—42no—
186C22×C4×C11—82no—
187C22×C4×C11C22×C412yes—
188C22×C4×C11C22×C411yescharacteristic
189C22×C4×C11C22×C411yescharacteristic
190C22×C4×C11C22×C412yes—
191C22×C4×C11C22×C411yescharacteristic
192C22×C4×C11C22×C411yescharacteristic
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2×D412yes—
195C22×C4×C11C2×D412yes—
196C22×C4×C11C2×D412yes—
197C22×C4×C11C2411yescharacteristic
198C11×C4⋊C4—24no—
199C11×C4⋊C4—22no—
200C11×C4⋊C4C22⋊C412yes—
201C11×C4⋊C4C22⋊C412yes—
202C11×C22⋊C4—22no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4—22no—
205C11×C22⋊C4—22no—
206C11×C22⋊C4—22no—
207C11×C22⋊C4—22no—
208C11×C22⋊C4—24no—
209C11×C22⋊C4—24no—
210C11×C22⋊C4C22⋊C411yescharacteristic
211C11×C22⋊C4C22⋊C411yescharacteristic
212C11×C22⋊C4C22⋊C411yescharacteristic
213C11×C22⋊C4C22⋊C411yescharacteristic
214C11×C22⋊C4C22⋊C412yes—
215C11×C22⋊C4C22⋊C412yes—
216C42×C11C2×D412yes—
217C42×C11C2×D412yes—
218#4318—22no—
219#4318—22no—
220#4318—22no—
221#4318—22no—
222#4318—22no—
223#4318—22no—
224#4318—22no—
225#4318—44no—
226#4318—44no—
227#4318C2×D414yes—
228C2×C11⋊C8—22no—
229C2×C11⋊C8—22no—
230C2×C11⋊C8—22no—
231C2×C11⋊C8—22no—
232C2×C11⋊C8—44no—
233C2×C11⋊C8—44no—
234C2×#546D1111yescharacteristic
235D4×M16—112no—
236C2×#413—111no—
237C22×#100—111no—
238#1967—112no—
239#1901—112no—
240#1900—112no—
241#1800—111no—
242#1785—111no—
243#1783—111no—
244C4×#100—111no—
245C23×C11—22no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—44no—
259C23×C11—44no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—44no—
263C23×C11—42no—
264C23×C11—42no—
265C23×C11—44no—
266C23×C11—82no—
267C23×C11—82no—
268C23×C11—88no—
269C23×C11—88no—
270C23×C11C2×C22⋊C411yescharacteristic
271C23×C11C2×C22⋊C412yes—
272C23×C11C2×C22⋊C411yescharacteristic
273C23×C11C4×D414yes—
274C23×C11C23×C411yescharacteristic
275Q8×C11—42no—
276Q8×C11—42no—
277D4×C11—24no—
278D4×C11—24no—
279D4×C11—24no—
280D4×C11—42no—
281D4×C11—48no—
282D4×C11—48no—
283D4×C11—42no—
284D4×C11—42no—
285D4×C11—84no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—44no—
305C2×C4×C11—44no—
306C2×C4×C11—42no—
307C2×C4×C11—82no—
308C2×C4×C11—82no—
309C2×C4×C11C2×C22⋊C412yes—
310C2×C4×C11C2×C22⋊C411yescharacteristic
311C2×C4×C11C2×C22⋊C411yescharacteristic
312C2×C4×C11C2×C22⋊C411yescharacteristic
313C2×C4×C11C2×C22⋊C411yescharacteristic
314C2×C4×C11C2×C22⋊C412yes—
315C2×C4×C11C22×D411yescharacteristic
316C2×C4×C11C22×D412yes—
317C2×C4×C11C2×#4111yescharacteristic
318C2×C4×C11H(5,𝔽2)12yes—
319C11⋊C8—24no—
320C11⋊C8—42no—
321C11⋊C8—42no—
322C11⋊C8—42no—
323C22×#41C2×D1111yescharacteristic
324C23×D4C2×D1111yescharacteristic
325C22×M16—112no—
326C22×M16—112no—
327#546—22no—
328#546—22no—
329#546—22no—
330#546—22no—
331C2×#124C2×D1111yescharacteristic
332C2×#123Dic1112yes—
333C2×C22⋊Q8C2×D1111yescharacteristic
334C2×#121Dic1112yes—
335C2×#121C2×D1111yescharacteristic
336C2×#120Dic1112yes—
337C2×C4×D4C2×D1111yescharacteristic
338C2×C4×D4C2×D1111yescharacteristic
339C22×C22⋊C4Dic1112yes—
340#436—222no—
341#435—222no—
342#435—222no—
343C8×D4—222no—
344#423—112no—
345#413—224no—
346C2×#101—112no—
347C2×#101—112no—
348C2×#100—111no—
349C2×#100—111no—
350C2×#100—111no—
351C2×#100—112no—
352C2×#100—111no—
353C2×#100—112no—
354C2×#100—224no—
355#407—112no—
356#407—112no—
357C4×M16—112no—
358#343—112no—
359#343—112no—
360C22×C11—21no—
361C22×C11—21no—
362C22×C11—21no—
363C22×C11—21no—
364C22×C11—22no—
365C22×C11—21no—
366C22×C11—24no—
367C22×C11—22no—
368C22×C11—21no—
369C22×C11—22no—
370C22×C11—21no—
371C22×C11—42no—
372C22×C11—42no—
373C22×C11—44no—
374C22×C11—44no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11—88no—
383C22×C11—82no—
384C22×C11—82no—
385C22×C11—88no—
386C22×C11#41312yescomplemented
387C22×C11C22×C22⋊C411yescharacteristic
388C22×C11C2×C4×D411yescharacteristic
389C22×C11#51811yescharacteristic
390C4×C11—21no—
391C4×C11—21no—
392C4×C11—22no—
393C4×C11—22no—
394C4×C11—21no—
395C4×C11—21no—
396C4×C11—42no—
397C4×C11—42no—
398C4×C11D4212yes—
399C4×C11#54612yes—
400C25C2×Dic1112yes—
401C2×#41—22no—
402C2×#41—22no—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—42no—
406C22×Q8C22×D1111yescharacteristic
407C22×D4—22no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4—22no—
411C22×D4—42no—
412C22×D4C2×Dic1112yes—
413C22×D4C2×Dic1112yes—
414C22×D4C2×Dic1112yes—
415C22×D4C2×Dic1111yescharacteristic
416C22×D4C22×D1111yescharacteristic
417C22×D4C22×D1111yescharacteristic
418C23×C4C2×Dic1112yes—
419C23×C4C2×Dic1112yes—
420C23×C4C22×D1111yescharacteristic
421C23×C4C22×D1111yescharacteristic
422C2×M16—112no—
423C2×M16—112no—
424C2×M16—112no—
425C2×M16—112no—
426C2×M16—222no—
427C2×M16—222no—
428C2×M16—224no—
429C2×M16—224no—
430C2×M16—442no—
431C2×M16—442no—
432C22×C8—222no—
433C22×C8—222no—
434#124—22no—
435#124—22no—
436#123—24no—
437#123—24no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440#121—22no—
441#121—22no—
442#121—24no—
443#121—24no—
444#120—24no—
445#120—24no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4C22⋊D1112yes—
449C4×D4C22⋊D1112yes—
450C4×D4C22⋊D1112yes—
451C4×D4C22⋊D1112yes—
452C2×C4⋊C4C2×Dic1112yes—
453C2×C4⋊C4C2×Dic1111yescharacteristic
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C22⋊C4—22no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4—22no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4C2×Dic1112yes—
460C2×C22⋊C4C2×Dic1112yes—
461C2×C22⋊C4C2×Dic1112yes—
462C2×C22⋊C4C2×Dic1112yes—
463C2×C22⋊C4C2×Dic1112yes—
464C2×C22⋊C4C2×Dic1111yescharacteristic
465C2×C22⋊C4C2×Dic1111yescharacteristic
466C2×C42C22×D1111yescharacteristic
467C4⋊C8—222no—
468C4⋊C8—222no—
469#101—224no—
470#101—442no—
471#100—114no—
472#100—224no—
473#100—222no—
474#100—222no—
475#100—222no—
476#100—442no—
477C22⋊C8—222no—
478C22⋊C8—222no—
479C22⋊C8—222no—
480C22⋊C8—222no—
481#97—222no—
482C4×C8—222no—
483C2×C11—21no—
484C2×C11—21no—
485C2×C11—22no—
486C2×C11—41no—
487C2×C11—42no—
488C2×C11—44no—
489C2×C11—82no—
490C2×C11D4×C22⋊C411yescharacteristic
491C2×C11C2×#41311yescharacteristic
492C2×C11#288811yescharacteristic
493C24—22no—
494C24—22no—
495C24—24no—
496C24—42no—
497C24—44no—
498C24—82no—
499C24C22×Dic1111yescharacteristic
500C24C22×Dic1112yes—
501C24C22×Dic1112yes—
502C24C22×Dic1111yescharacteristic
503#41—44no—
504#41—44no—
505#41—44no—
506#41—44no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—24no—
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—44no—
523C2×D4—44no—
524C2×D4—44no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—82no—
530C2×D4C22⋊Dic1112yes—
531C2×D4C22⋊Dic1112yes—
532C2×D4D4×D1112yes—
533C2×D4#434112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—24no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—42no—
546C22×C4—82no—
547C22×C4C22×Dic1112yes—
548C22×C4C22×Dic1111yescharacteristic
549C22×C4C22×Dic1111yescharacteristic
550C22×C4C22×Dic1112yes—
551C22×C4C22×Dic1111yescharacteristic
552C22×C4C22×Dic1111yescharacteristic
553C22×C4C2×C22⋊D1112yes—
554C22×C4C2×C22⋊D1112yes—
555C22×C4C2×C22⋊D1112yes—
556C22×C4C2×C22⋊D1112yes—
557C22×C4C23×D1111yescharacteristic
558M16—114no—
559M16—222no—
560M16—222no—
561M16—222no—
562M16—222no—
563M16—222no—
564M16—222no—
565M16—222no—
566M16—444no—
567M16—444no—
568C2×C8—222no—
569C2×C8—222no—
570C2×C8—222no—
571C2×C8—222no—
572C2×C8—444no—
573C2×C8—444no—
574C4⋊C4—24no—
575C4⋊C4—22no—
576C4⋊C4C22⋊Dic1112yes—
577C4⋊C4C22⋊Dic1112yes—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4C22⋊Dic1111yescharacteristic
587C22⋊C4C22⋊Dic1111yescharacteristic
588C22⋊C4C22⋊Dic1111yescharacteristic
589C22⋊C4C22⋊Dic1111yescharacteristic
590C22⋊C4C22⋊Dic1112yes—
591C22⋊C4C22⋊Dic1112yes—
592C42C2×C22⋊D1112yes—
593C42C2×C22⋊D1112yes—
594C11#2240811yescharacteristic, complemented, Sylow
595C23—21no—
596C23—21no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—44no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—42no—
614C23—42no—
615C23—44no—
616C23—82no—
617C23—82no—
618C23—88no—
619C23—88no—
620C23D4×Dic1114yes—
621C23C2×C22⋊Dic1111yescharacteristic
622C23C2×C22⋊Dic1112yes—
623C23C2×C22⋊Dic1111yescharacteristic
624C23C23×Dic1111yescharacteristic
625Q8—42no—
626Q8—42no—
627D4—24no—
628D4—24no—
629D4—24no—
630D4—42no—
631D4—48no—
632D4—48no—
633D4—42no—
634D4—42no—
635D4—84no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—42no—
657C2×C4—82no—
658C2×C4—82no—
659C2×C4C2×C22⋊Dic1112yes—
660C2×C4C2×C22⋊Dic1111yescharacteristic
661C2×C4C2×C22⋊Dic1111yescharacteristic
662C2×C4C2×C22⋊Dic1111yescharacteristic
663C2×C4C2×C22⋊Dic1111yescharacteristic
664C2×C4C2×C22⋊Dic1112yes—
665C2×C4C2×D4×D1111yescharacteristic
666C2×C4C2×#434111yescharacteristic
667C2×C4#6703712yes—
668C2×C4C22×C22⋊D1112yes—
669C8—224no—
670C8—442no—
671C8—442no—
672C8—442no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—22no—
678C22—21no—
679C22—24no—
680C22—22no—
681C22—21no—
682C22—22no—
683C22—21no—
684C22—42no—
685C22—42no—
686C22—44no—
687C22—44no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—88no—
696C22—82no—
697C22—82no—
698C22—88no—
699C22#1062285012yescomplemented
700C22C2×D4×Dic1111yescharacteristic
701C22#1062332911yescharacteristic
702C22C22×C22⋊Dic1111yescharacteristic
703C4—21no—
704C4—21no—
705C4—22no—
706C4—22no—
707C4—21no—
708C4—21no—
709C4—42no—
710C4—42no—
711C4D4×C22⋊D1112yes—
712C4#1062333712yes—
713C2—21no—
714C2—21no—
715C2—22no—
716C2—41no—
717C2—42no—
718C2—44no—
719C2—82no—
720C2D4×C22⋊Dic1111yescharacteristic
721C2C2×#1062285011yescharacteristic
722C2#1307709511yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic11
commutatorC23×C11C23×C4
FrattiniC22×C4C23×D11
Fitting, prime radicalC2×C11×#546C2
socleC22×C11C22×C22⋊C4
cosocleC22×C4×C11C24
hypercenterC2×#546D11
hypocenterC11#22408
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. D4×#4318C2semidirect
2. C2×#10622850C2semidirect
3. C22×#66897C2semidirect
4. #13069466C2semidirect
5. #13069085C2semidirect
6. #13069080C2semidirect
7. #13068608C2semidirect
8. #13068544C2semidirect
9. #13068537C2semidirect
10. C4×#66897C2semidirect
28. C22×#4318C22semidirect
30. C2×#66900C22semidirect
31. C2×#66900C22semidirect
40. #10622820C22semidirect
45. #10622537C22semidirect
46. C4×#4318C22semidirect
47. #10622168C22semidirect
48. #10622168C22semidirect
123. #66897D4semidirect
386. C22×C11#413semidirect
594. C11#22408semidirect
699. C22#10622850semidirect

Maximal subgroups

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

subgroupindex
D4×#43182
C2×#106228502
C22×#668972
#130694662
#130690852
#130690802
#130686082
#130685442
#130685372
C4×#668972
C2×C11×#5462
#2240811