Finite Group Databasebeta

← #15618746

Subgroups — #15618746

Order 2816.

1974 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic22C211yesmaximal, characteristic
2#13077706C214yesmaximal, complemented
3#13077703C214yesmaximal, complemented
4#13077700C214yesmaximal, complemented
5#13077699C212yesmaximal, complemented
6#13077696C212yesmaximal, complemented
7M16×Dic22C214yesmaximal, complemented
8#13077567C214yesmaximal, complemented
9#13077249C211yesmaximal, characteristic
10#13077245C214yesmaximal
11C11×#2920C211yesmaximal, characteristic
12C23×Dic22C411yescharacteristic
13C22×C42×C11C2211yescharacteristic
14C22×C4⋊Dic11C411yescharacteristic
15C22×Dic11⋊C4C412yes—
16C22×C4×Dic11C2212yes—
17C2×C4×Dic22C411yescharacteristic
18C2×C4×Dic22C412yes—
19C2×C4×Dic22C412yes—
20C2×C4×Dic22C412yes—
21C2×C4×Dic22C412yes—
22C2×C4×Dic22C412yes—
23C2×C4×Dic22C411yescharacteristic
24C2×C4×Dic22C2212yes—
25C2×C4×Dic22C2212yes—
26C2×C4×Dic22C2211yescharacteristic
27C2×C4×Dic22C2211yescharacteristic
28C2×C4×Dic22C2212yes—
29C2×C4×Dic22C2212yes—
30C2×C4×Dic22C2212yes—
31C11×#432C2212yes—
32C11×#432C2212yes—
33C11×#431C2212yes—
34C11×#431C2212yes—
35C11×#423C2212yes—
36C11×#407C2212yes—
37C4×C11×M16C2212yes—
38#10622820C2212yes—
39#10622731C2218yes—
40M16×Dic11C2218yes—
41#10622539C2212yes—
42#10622539C2212yes—
43#10622538C2212yes—
44#10622538C2212yes—
45#10622537C2212yes—
46C4×#4318C2212yes—
47#10622444C2218yescomplemented
48#10622443C2218yescomplemented
49#10622441C22116yescomplemented
50#10622332C2218yes—
51#10622332C2218yes—
52#10622331C2218yes—
53#10622331C2218yes—
54#10622314C22116yescomplemented
55#10622292C2218yescomplemented
56C8×Dic22C2218yescomplemented
57C23×C4×C11C2×C411yescharacteristic
58C23×C4×C11C2×C411yescharacteristic
59C23×C4×C11C2311yescharacteristic
60C23×Dic11C2×C412yes—
61C23×Dic11C2×C412yes—
62C22×Dic22—28no—
63C22×Dic22C2×C412yes—
64C22×Dic22C2×C412yes—
65C22×Dic22C2×C412yes—
66C22×Dic22C2×C412yes—
67C22×Dic22C2×C412yes—
68C22×Dic22C2×C411yescharacteristic
69C22×Dic22C2×C411yescharacteristic
70C2×C11×M16C2314yes—
71C2×C42×C11C2×C411yescharacteristic
72C2×C42×C11C2×C411yescharacteristic
73C2×C42×C11C2×C411yescharacteristic
74C2×C42×C11C2×C411yescharacteristic
75C2×C42×C11C2×C411yescharacteristic
76C2×C42×C11C2×C411yescharacteristic
77C2×C42×C11C2311yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×C42×C11C2311yescharacteristic
80C2×C42×C11C2311yescharacteristic
81C2×C42×C11C2311yescharacteristic
82C2×C42×C11C2311yescharacteristic
83C2×C4⋊Dic11C2×C412yes—
84C2×C4⋊Dic11C2×C412yes—
85C2×C4⋊Dic11C2×C412yes—
86C2×C4⋊Dic11C2×C412yes—
87C2×C4⋊Dic11C2×C412yes—
88C2×C4⋊Dic11C2×C411yescharacteristic
89C2×C4⋊Dic11C2×C411yescharacteristic
90C2×Dic11⋊C4C2×C414yes—
91C2×Dic11⋊C4C2×C414yes—
92C2×Dic11⋊C4C2×C414yes—
93C2×Dic11⋊C4C2×C414yes—
94C2×Dic11⋊C4C2×C412yes—
95C2×Dic11⋊C4C2×C412yes—
96C2×Dic11⋊C4C2×C412yes—
97C2×Dic11⋊C4C2×C412yes—
98C2×C4×Dic11C2×C414yes—
99C2×C4×Dic11C2×C412yes—
100C2×C4×Dic11C2×C414yes—
101C2×C4×Dic11C2×C412yes—
102C2×C4×Dic11C2314yes—
103C2×C4×Dic11C2312yes—
104C2×C4×Dic11C2314yes—
105C2×C4×Dic11C2312yes—
106C2×#4318C2314yes—
107C4×Dic22C2×C412yes—
108C4×Dic22C2×C414yes—
109C4×Dic22C2×C412yes—
110C4×Dic22C2×C414yes—
111C4×Dic22C2×C412yes—
112C4×Dic22C2×C412yes—
113C4×Dic22C2×C414yes—
114C4×Dic22C2×C414yes—
115C4×Dic22C2×C412yes—
116C4×Dic22C2×C414yes—
117C4×Dic22C2×C412yes—
118C4×Dic22C2×C414yes—
119C4×Dic22C2×C412yes—
120C4×Dic22C2×C412yes—
121C4×Dic22C2×C412yes—
122C4×Dic22C2×C412yes—
123C4×Dic22C2×C412yes—
124C4×Dic22C2×C412yes—
125C4×Dic22C2312yes—
126C4×Dic22C2312yes—
127C4×Dic22C2314yes—
128C4×Dic22C2314yes—
129C4×Dic22C2312yes—
130C4×Dic22C2312yes—
131C11×C4⋊C8C2314yes—
132C11×C4⋊C8C2314yes—
133C11×C22⋊C8C2314yes—
134C11×C22⋊C8C2314yes—
135C11×#97C2314yes—
136C4×C8×C11C2314yes—
137C22⋊(C11⋊C8)C2314yes—
138C22⋊(C11⋊C8)C2314yes—
139#66879C23116yes—
140Dic11⋊C8C23116yes—
141Dic11⋊C8C23116yes—
142C8×Dic11C23116yes—
143C4⋊(C11⋊C8)C2314yes—
144C4⋊(C11⋊C8)C2314yes—
145#66867C2314yes—
146C4×C11⋊C8C2314yes—
147#60248—111nomaximal, Sylow
148C24×C11C22×C411yescharacteristic
149C22×C4×C11—24no—
150C22×C4×C11—24no—
151C22×C4×C11—42no—
152C22×C4×C11C22×C411yescharacteristic
153C22×C4×C11C22×C411yescharacteristic
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C22×C411yescharacteristic
156C22×C4×C11C22×C411yescharacteristic
157C22×C4×C11C22×C411yescharacteristic
158C22×C4×C11C22×C411yescharacteristic
159C22×C4×C11C22×C411yescharacteristic
160C22×C4×C11C22×C411yescharacteristic
161C22×C4×C11C22×C411yescharacteristic
162C22×C4×C11C22×C411yescharacteristic
163C22×C4×C11C22×C411yescharacteristic
164C22×C4×C11C22×C411yescharacteristic
165C22×C4×C11C22×C411yescharacteristic
166C22×C4×C11C22×C411yescharacteristic
167C22×C4×C11C2411yescharacteristic
168C22×C4×C11C2411yescharacteristic
169C22×C4×C11C2411yescharacteristic
170C22×Dic11—28no—
171C22×Dic11—44no—
172C22×Dic11C22×C414yes—
173C22×Dic11C22×C414yes—
174C22×Dic11C22×C412yes—
175C22×Dic11C22×C414yes—
176C22×Dic11C22×C414yes—
177C22×Dic11C22×C412yes—
178C22×Dic11C22×C412yes—
179C22×Dic11C22×C412yes—
180C2×Dic22—28no—
181C2×Dic22—28no—
182C2×Dic22—28no—
183C2×Dic22—28no—
184C2×Dic22—28no—
185C2×Dic22—24no—
186C2×Dic22M1618yescomplemented
187C2×Dic22C22×C414yes—
188C2×Dic22C22×C414yes—
189C2×Dic22C22×C412yes—
190C2×Dic22C22×C412yes—
191C2×Dic22C22×C412yes—
192C2×Dic22C22×C412yes—
193C11×M16—28no—
194C2×C8×C11C2418yes—
195C42×C11C22×C411yescharacteristic
196C42×C11C22×C411yescharacteristic
197C42×C11C22×C411yescharacteristic
198C42×C11C22×C411yescharacteristic
199C42×C11C22×C411yescharacteristic
200C42×C11C22×C411yescharacteristic
201C42×C11C22×C411yescharacteristic
202C42×C11C22×C411yescharacteristic
203C42×C11C22×C411yescharacteristic
204C42×C11C22×C411yescharacteristic
205C42×C11C22×C411yescharacteristic
206C42×C11C22×C411yescharacteristic
207C42×C11C2411yescharacteristic
208C42×C11C2411yescharacteristic
209C42×C11C2411yescharacteristic
210C42×C11C2411yescharacteristic
211C4⋊Dic11C22×C414yes—
212C4⋊Dic11C22×C414yes—
213C4⋊Dic11C22×C412yes—
214C4⋊Dic11C22×C412yes—
215C4⋊Dic11C22×C412yes—
216C4⋊Dic11C22×C412yes—
217Dic11⋊C4C22×C414yes—
218Dic11⋊C4C22×C414yes—
219Dic11⋊C4C22×C414yes—
220Dic11⋊C4C22×C414yes—
221Dic11⋊C4C22×C414yes—
222Dic11⋊C4C22×C414yes—
223Dic11⋊C4C22×C414yes—
224Dic11⋊C4C22×C414yes—
225C4×Dic11C22×C414yes—
226C4×Dic11C22×C414yes—
227C4×Dic11C22×C414yes—
228C4×Dic11C22×C414yes—
229C4×Dic11C22×C414yes—
230C4×Dic11C22×C414yes—
231C4×Dic11C2414yes—
232C4×Dic11C2414yes—
233#4318—28no—
234C2×C11⋊C8C2418yes—
235C22×C4×Q8—111no—
236#2984—114no—
237#2984—114no—
238#2983—114no—
239#2983—112no—
240#2982—112no—
241Q8×M16—114no—
242Q8×M16—114no—
243#2920—111no—
244#2920—114no—
245#2920D1111yescharacteristic
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11C23×C411yescharacteristic
250C23×C11C23×C411yescharacteristic
251C23×C11C23×C411yescharacteristic
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11C2×M1614yes—
269C2×C4×C11C23×C411yescharacteristic
270C2×C4×C11C23×C411yescharacteristic
271C2×C4×C11C23×C411yescharacteristic
272C2×C4×C11C23×C411yescharacteristic
273C2×C4×C11C23×C411yescharacteristic
274C2×C4×C11C23×C411yescharacteristic
275C2×C4×C11C23×C411yescharacteristic
276C2×C4×C11C23×C411yescharacteristic
277C2×C4×C11C23×C411yescharacteristic
278C2×C4×C11C23×C411yescharacteristic
279C2×C4×C11C23×C411yescharacteristic
280C2×C4×C112−1+414yes—
281C2×C4×C11C2511yescharacteristic
282C2×Dic11—24no—
283C2×Dic11—28no—
284C2×Dic11—28no—
285C2×Dic11—28no—
286C2×Dic11—44no—
287C2×Dic11—42no—
288C2×Dic11—42no—
289C2×Dic11C2×M1618yes—
290C2×Dic11C23×C414yes—
291C2×Dic11C23×C414yes—
292C2×Dic11C23×C414yes—
293C2×Dic11C23×C414yes—
294Dic22—24no—
295Dic22—24no—
296Dic22—28no—
297Dic22—28no—
298Dic22C2×M1618yes—
299Dic22C2×M1618yes—
300C8×C11—28no—
301C11⋊C8—28no—
302C23×Q8—111no—
303C2×C4×Q8—112no—
304C2×C4×Q8—112no—
305C2×C4×Q8—111no—
306C2×C4×Q8—112no—
307C2×C4×Q8—111no—
308C2×C4×Q8—112no—
309C2×C4×Q8—112no—
310C2×C4×Q8—111no—
311C2×C4×Q8—112no—
312C2×C4×Q8—112no—
313C2×C4×Q8—112no—
314C2×C4×Q8—112no—
315C2×C4×Q8—112no—
316C2×C4×Q8—111no—
317C22×C4⋊C4—112no—
318C22×C4⋊C4—111no—
319C22×C42—112no—
320C22×C42C2×D1111yescharacteristic
321#446—1116no—
322#446—118no—
323#446—1116no—
324#446—118no—
325C8×Q8—118no—
326C8×Q8—118no—
327#432—112no—
328#432—112no—
329#432—118no—
330#432—118no—
331#432C2×D1112yes—
332#432C2×D1112yes—
333#431—112no—
334#431—112no—
335#431—118no—
336#431—118no—
337#431C2×D1112yes—
338#431C2×D1112yes—
339#423—118no—
340#423—112no—
341#423C2×D1112yes—
342#407—112no—
343#407C2×D1112yes—
344C4×M16—118no—
345C4×M16—112no—
346C4×M16C2×D1112yes—
347C22×C11—28no—
348C22×C11—21no—
349C22×C11—21no—
350C22×C11—21no—
351C22×C11—21no—
352C22×C11—21no—
353C22×C11—21no—
354C22×C11#51912yes—
355C22×C11C22×M1612yes—
356C22×C11#56812yes—
357C22×C11C24×C411yescharacteristic
358C4×C11—21no—
359C4×C11—21no—
360C4×C11—21no—
361C4×C11—21no—
362C4×C11—21no—
363C4×C11—21no—
364C4×C11—21no—
365C4×C11—21no—
366C4×C11#51912yes—
367C4×C11C22×M1612yes—
368C4×C11C22×M1612yes—
369C4×C11C2×2−1+412yes—
370Dic11—24no—
371Dic11—24no—
372Dic11—24no—
373Dic11C22×M1618yes—
374C22×Q8—111no—
375C22×Q8—112no—
376C22×Q8—112no—
377C22×Q8—112no—
378C22×Q8—112no—
379C22×Q8—112no—
380C22×Q8—111no—
381C22×Q8—228no—
382C23×C4—112no—
383C23×C4—112no—
384C23×C4C4×D1111yescharacteristic
385C23×C4C4×D1111yescharacteristic
386C23×C4C22×D1111yescharacteristic
387C2×M16—114no—
388C2×M16C22×D1114yes—
389C4×Q8—112no—
390C4×Q8—112no—
391C4×Q8—112no—
392C4×Q8—112no—
393C4×Q8—112no—
394C4×Q8—112no—
395C4×Q8—114no—
396C4×Q8—114no—
397C4×Q8—112no—
398C4×Q8—112no—
399C4×Q8—114no—
400C4×Q8—114no—
401C4×Q8—112no—
402C4×Q8—112no—
403C4×Q8—114no—
404C4×Q8—114no—
405C4×Q8—112no—
406C4×Q8—112no—
407C4×Q8—112no—
408C4×Q8—112no—
409C4×Q8—114no—
410C4×Q8—114no—
411C4×Q8—112no—
412C4×Q8—112no—
413C2×C4⋊C4—112no—
414C2×C4⋊C4—112no—
415C2×C4⋊C4—114no—
416C2×C4⋊C4—114no—
417C2×C4⋊C4—114no—
418C2×C4⋊C4—114no—
419C2×C4⋊C4—112no—
420C2×C4⋊C4—112no—
421C2×C4⋊C4—112no—
422C2×C4⋊C4—112no—
423C2×C4⋊C4—112no—
424C2×C4⋊C4—112no—
425C2×C4⋊C4—112no—
426C2×C4⋊C4—111no—
427C2×C4⋊C4—111no—
428C2×C42—112no—
429C2×C42—114no—
430C2×C42—114no—
431C2×C42—112no—
432C2×C42—114no—
433C2×C42—112no—
434C2×C42—114no—
435C2×C42—112no—
436C2×C42C4×D1111yescharacteristic
437C2×C42C4×D1111yescharacteristic
438C2×C42C4×D1111yescharacteristic
439C2×C42C4×D1111yescharacteristic
440C2×C42C4×D1111yescharacteristic
441C2×C42C4×D1111yescharacteristic
442C2×C42C22×D1111yescharacteristic
443C2×C42C22×D1111yescharacteristic
444C2×C42C22×D1111yescharacteristic
445C2×C42C22×D1111yescharacteristic
446C2×C42C22×D1111yescharacteristic
447C2×C42C22×D1111yescharacteristic
448C4⋊C8—1116no—
449C4⋊C8—1116no—
450C4⋊C8—114no—
451C4⋊C8—114no—
452C4⋊C8C22×D1114yes—
453C4⋊C8C22×D1114yes—
454C22⋊C8—114no—
455C22⋊C8—114no—
456C22⋊C8C22×D1114yes—
457C22⋊C8C22×D1114yes—
458#97—1116no—
459#97—114no—
460#97C22×D1114yes—
461C4×C8—1116no—
462C4×C8—114no—
463C4×C8C22×D1114yes—
464C2×C11—22no—
465C2×C11—22no—
466C2×C11—22no—
467C2×C11C2×#51911yescharacteristic
468C2×C11C23×M1611yescharacteristic
469C2×C11C2×#56811yescharacteristic
470C24C2×C4×D1111yescharacteristic
471C2×Q8—118no—
472C2×Q8—112no—
473C2×Q8—112no—
474C2×Q8—114no—
475C2×Q8—114no—
476C2×Q8—112no—
477C2×Q8—112no—
478C2×Q8—228no—
479C2×Q8—228no—
480C2×Q8—228no—
481C2×Q8—228no—
482C2×Q8—228no—
483C2×Q8—224no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—42no—
487C22×C4—112no—
488C22×C4—114no—
489C22×C4—114no—
490C22×C4—114no—
491C22×C4—112no—
492C22×C4—112no—
493C22×C4—112no—
494C22×C4—114no—
495C22×C4—228no—
496C22×C4—444no—
497C22×C4C2×C4×D1111yescharacteristic
498C22×C4C2×C4×D1111yescharacteristic
499C22×C4C2×C4×D1111yescharacteristic
500C22×C4C2×C4×D1111yescharacteristic
501C22×C4C2×C4×D1111yescharacteristic
502C22×C4C2×C4×D1111yescharacteristic
503C22×C4C2×C4×D1111yescharacteristic
504C22×C4C2×C4×D1111yescharacteristic
505C22×C4C2×C4×D1111yescharacteristic
506C22×C4C2×C4×D1111yescharacteristic
507C22×C4C2×C4×D1111yescharacteristic
508C22×C4C2×C4×D1111yescharacteristic
509C22×C4C2×C4×D1111yescharacteristic
510C22×C4C2×C4×D1111yescharacteristic
511C22×C4C2×C4×D1111yescharacteristic
512C22×C4C23×D1111yescharacteristic
513C22×C4C23×D1111yescharacteristic
514C22×C4C23×D1111yescharacteristic
515M16—28no—
516M16—228no—
517C2×C8—118no—
518C2×C8C23×D1118yes—
519C4⋊C4—114no—
520C4⋊C4—114no—
521C4⋊C4—114no—
522C4⋊C4—114no—
523C4⋊C4—114no—
524C4⋊C4—114no—
525C4⋊C4—114no—
526C4⋊C4—114no—
527C4⋊C4—114no—
528C4⋊C4—114no—
529C4⋊C4—112no—
530C4⋊C4—112no—
531C4⋊C4—112no—
532C4⋊C4—112no—
533C42—114no—
534C42—114no—
535C42—114no—
536C42—114no—
537C42—114no—
538C42—114no—
539C42—114no—
540C42—114no—
541C42C2×C4×D1111yescharacteristic
542C42C2×C4×D1111yescharacteristic
543C42C2×C4×D1111yescharacteristic
544C42C2×C4×D1111yescharacteristic
545C42C2×C4×D1111yescharacteristic
546C42C2×C4×D1111yescharacteristic
547C42C2×C4×D1111yescharacteristic
548C42C2×C4×D1111yescharacteristic
549C42C2×C4×D1111yescharacteristic
550C42C2×C4×D1111yescharacteristic
551C42C2×C4×D1111yescharacteristic
552C42C2×C4×D1111yescharacteristic
553C42C23×D1111yescharacteristic
554C42C23×D1111yescharacteristic
555C42C23×D1111yescharacteristic
556C42C23×D1111yescharacteristic
557C11#6024811yescharacteristic, complemented, Sylow
558C23—22no—
559C23—22no—
560C23—22no—
561C23C22×C4×D1111yescharacteristic
562C23C22×C4×D1111yescharacteristic
563C23C22×C4×D1111yescharacteristic
564Q8—118no—
565Q8—118no—
566Q8—228no—
567Q8—228no—
568Q8—224no—
569Q8—224no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—118no—
587C2×C4—114no—
588C2×C4—114no—
589C2×C4—114no—
590C2×C4—114no—
591C2×C4—228no—
592C2×C4—228no—
593C2×C4—224no—
594C2×C4—228no—
595C2×C4—442no—
596C2×C4—442no—
597C2×C4—444no—
598C2×C4M16×D1114yes—
599C2×C4C22×C4×D1111yescharacteristic
600C2×C4C22×C4×D1111yescharacteristic
601C2×C4C22×C4×D1111yescharacteristic
602C2×C4C22×C4×D1111yescharacteristic
603C2×C4C22×C4×D1111yescharacteristic
604C2×C4C22×C4×D1111yescharacteristic
605C2×C4C22×C4×D1111yescharacteristic
606C2×C4C22×C4×D1111yescharacteristic
607C2×C4C22×C4×D1111yescharacteristic
608C2×C4C22×C4×D1111yescharacteristic
609C2×C4C22×C4×D1111yescharacteristic
610C2×C4#6704314yes—
611C2×C4C24×D1111yescharacteristic
612C8—28no—
613C8—228no—
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#1062304712yes—
622C22C2×M16×D1112yes—
623C22#1062327612yes—
624C22C23×C4×D1111yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—118no—
634C4—224no—
635C4—224no—
636C4—224no—
637C4#1062304712yes—
638C4C2×M16×D1112yes—
639C4C2×M16×D1112yes—
640C4C2×#6704312yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#1062304711yescharacteristic
645C2C22×M16×D1111yescharacteristic
646C2C2×#1062327611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D11
commutator, socleC22×C11C24×C4
FittingC11×#2920C2
prime radicalC24×C11C22×C4
cosocleC2×C4×C11C25
hypercenter#2920D11
hypocenterC11#60248
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #13077706C2semidirect
3. #13077703C2semidirect
4. #13077700C2semidirect
5. #13077699C2semidirect
6. #13077696C2semidirect
7. M16×Dic22C2semidirect
8. #13077567C2semidirect
47. #10622444C22semidirect
48. #10622443C22semidirect
49. #10622441C22semidirect
54. #10622314C22semidirect
55. #10622292C22semidirect
56. C8×Dic22C22semidirect
186. C2×Dic22M16semidirect
557. C11#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic222
#130777062
#130777032
#130777002
#130776992
#130776962
M16×Dic222
#130775672
#130772492
#130772452
C11×#29202
#6024811