Finite Group Databasebeta

← #14784808

Subgroups — #14784808

Order 2816.

2096 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#4323C211yesmaximal, characteristic, complemented
2C2×#10622851C212yesmaximal, complemented
3C2×#10622659C211yesmaximal, characteristic, complemented
4#13071972C211yesmaximal, characteristic, complemented
5#13069693C212yesmaximal, complemented
6#13069612C212yesmaximal, complemented
7#13069040C211yesmaximal, characteristic, complemented
8#13068964C212yesmaximal, complemented
9#13068909C211yesmaximal, characteristic, complemented
10#13068547C211yesmaximal, characteristic, complemented
11C2×C11×#546C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×D44C2211yescharacteristic
15C11×#546—24no—
16C11×#546—24no—
17C2×C11×#124C2211yescharacteristic, complemented
18C2×C11×#123—21no—
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×C11×#121—21no—
21C2×C11×#121C2211yescharacteristic, complemented
22C2×C11×#120—21no—
23C2×C4×D4×C11C2211yescharacteristic
24C2×C4×D4×C11C2211yescharacteristic, complemented
25C22×C11×C22⋊C4—21no—
26C22×#4325C2212yescomplemented
27C2×#66990—21no—
28C22×#4323—24no—
29C22×#4323—28no—
30C22×#4323C2212yes—
31C22×#4323C2212yes—
32C2×#66983C2212yescomplemented
33C23×C11⋊C8C2211yescharacteristic
34#10622851—28no—
35C2×#66899C2212yescomplemented
36C2×#66896C2212yescomplemented
37C2×#66896C2212yescomplemented
38#10622825C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40C2×C22⋊(C11⋊C8)C2212yescomplemented
41#10622659—24no—
42#10622604—21no—
43C2×#66873C2212yescomplemented
44#10622573—21no—
45#10622568—21no—
46#10622552C2212yescomplemented
47#10622167C2212yescomplemented
48#10622162C2212yescomplemented
49C25×C11—21no—
50C24×D11—21no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41—24no—
54C2×C11×#41—42no—
55C22×Q8×C11C2311yescharacteristic
56C22×D4×C11—24no—
57C22×D4×C11—21no—
58C22×D4×C11—21no—
59C22×D4×C11—21no—
60C22×D4×C11—22no—
61C22×D4×C11—42no—
62C22×D4×C11D411yescharacteristic
63C22×D4×C11D414yescomplemented
64C22×D4×C11C2311yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11—21no—
67C23×C4×C11—21no—
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C22×C22⋊D11—22no—
71C22×D44—22no—
72C22×D44—24no—
73C22×D44—22no—
74C22×D44—21no—
75C22×D44—42no—
76C22×D44C2312yes—
77C11×#124—22no—
78C11×#124—22no—
79C11×#123—28no—
80C11×C22⋊Q8—22no—
81C11×C22⋊Q8D414yescomplemented
82C11×#121—28no—
83C11×#121—22no—
84C11×#121—22no—
85C11×#120—28no—
86C4×D4×C11—22no—
87C4×D4×C11—22no—
88C4×D4×C11—22no—
89C4×D4×C11—22no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4D411yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C22⋊C4—28no—
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4D411yescharacteristic
100C2×C11×C22⋊C4D411yescharacteristic
101C2×C42×C11C2311yescharacteristic
102C2×C22⋊Dic11—21no—
103C2×#4325—24no—
104C2×#4325—24no—
105C2×#4325—42no—
106#66990—44no—
107C2×#4323—232no—
108C2×#4323—24no—
109C2×#4323—24no—
110C2×#4323—24no—
111C2×#4323—24no—
112C2×#4323—24no—
113C2×#4323D418yescomplemented
114#66983—24no—
115#66983—42no—
116C2×(C2×D11)⋊C4—22no—
117C2×(C2×D11)⋊C4—22no—
118C2×(C2×D11)⋊C4—22no—
119C2×C4⋊Dic11C2312yes—
120C22×C11⋊C8—22no—
121C22×C11⋊C8—24no—
122C22×C11⋊C8C2312yes—
123C22×C11⋊C8C2312yes—
124#66899—24no—
125#66896—24no—
126#66896—42no—
127C11⋊#95—21no—
128C22⋊(C11⋊C8)—22no—
129C22⋊(C11⋊C8)—24no—
130#66873—24no—
131#23851—111nomaximal, Sylow
132C24×C11—21no—
133C24×C11—21no—
134C24×C11—24no—
135C24×C11—44no—
136C24×C11—42no—
137C24×C11—42no—
138C24×C11—82no—
139C24×C11C2×D411yescharacteristic
140C24×C11C2×D411yescharacteristic
141C23×D11—22no—
142C23×D11—44no—
143C23×D11—42no—
144C23×D11—42no—
145C23×D11—42no—
146C23×D11—82no—
147C11×#41—48no—
148C11×#41—44no—
149C11×#41—44no—
150C2×Q8×C11—21no—
151C2×Q8×C11—22no—
152C2×Q8×C11—22no—
153C2×Q8×C11C2×D412yes—
154C2×D4×C11—28no—
155C2×D4×C11—24no—
156C2×D4×C11—22no—
157C2×D4×C11—22no—
158C2×D4×C11—22no—
159C2×D4×C11—24no—
160C2×D4×C11—24no—
161C2×D4×C11—21no—
162C2×D4×C11—22no—
163C2×D4×C11—21no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—44no—
167C2×D4×C11—48no—
168C2×D4×C11—44no—
169C2×D4×C11—44no—
170C2×D4×C11—82no—
171C2×D4×C11C2×D412yes—
172C2×D4×C11C2×D414yes—
173C2×D4×C11C2×D412yes—
174C22×C4×C11—22no—
175C22×C4×C11—22no—
176C22×C4×C11—24no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—24no—
180C22×C4×C11—22no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—22no—
184C22×C4×C11—44no—
185C22×C4×C11—82no—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2411yescharacteristic
193C2×C22⋊D11—44no—
194C2×C22⋊D11—44no—
195C2×C22⋊D11—82no—
196C22×Dic11—22no—
197C2×D44—28no—
198C2×D44—22no—
199C2×D44—22no—
200C2×D44—22no—
201C2×D44—22no—
202C2×D44—22no—
203C2×D44—44no—
204C2×D44—48no—
205C2×D44—44no—
206C2×D44—42no—
207C2×D44C2×D414yes—
208C11×C4⋊C4—24no—
209C11×C4⋊C4—22no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4C2×D412yes—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—24no—
214C11×C22⋊C4—24no—
215C11×C22⋊C4—24no—
216C11×C22⋊C4—22no—
217C11×C22⋊C4—24no—
218C11×C22⋊C4—22no—
219C42×C11—21no—
220C42×C11—21no—
221C22⋊Dic11—42no—
222#4325—48no—
223#4323—216no—
224#4323—216no—
225(C2×D11)⋊C4—44no—
226(C2×D11)⋊C4—44no—
227(C2×D11)⋊C4—82no—
228C4⋊Dic11—22no—
229C4⋊Dic11—22no—
230C2×C11⋊C8—28no—
231C2×C11⋊C8—22no—
232C2×C11⋊C8—22no—
233C2×C11⋊C8—22no—
234C2×C11⋊C8—22no—
235C2×C11⋊C8—22no—
236C2×C11⋊C8C2×D414yes—
237C23×D8—111no—
238C2×#546D1111yescharacteristic, complemented
239C2×#449—112no—
240C2×#450—111no—
241#2408—111no—
242#2012—112no—
243#1999—112no—
244#1892—111no—
245#1879—112no—
246#1869—111no—
247#1786—111no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—24no—
252C23×C11—22no—
253C23×C11—21no—
254C23×C11—22no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—22no—
258C23×C11—48no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—42no—
266C23×C11—48no—
267C23×C11—84no—
268C23×C11—88no—
269C23×C11—88no—
270C23×C11#12012yes—
271C23×C11#13512yes—
272C23×C11AGL(1,ℤ/8)12yes—
273C23×C11C22×D411yescharacteristic
274C22×D11—24no—
275C22×D11—48no—
276C22×D11—42no—
277C22×D11—42no—
278C22×D11—42no—
279C22×D11—42no—
280C22×D11—42no—
281C22×D11—42no—
282C22×D11—88no—
283C22×D11—88no—
284C22×D11—84no—
285C22×D11—84no—
286Q8×C11—24no—
287Q8×C11—41no—
288Q8×C11—41no—
289D4×C11—22no—
290D4×C11—22no—
291D4×C11—22no—
292D4×C11—24no—
293D4×C11—48no—
294D4×C11—48no—
295D4×C11—44no—
296D4×C11—42no—
297D4×C11—84no—
298D4×C11#12014yescomplemented
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—24no—
303C2×C4×C11—21no—
304C2×C4×C11—21no—
305C2×C4×C11—22no—
306C2×C4×C11—21no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—21no—
310C2×C4×C11—21no—
311C2×C4×C11—22no—
312C2×C4×C11—48no—
313C2×C4×C11—42no—
314C2×C4×C11—42no—
315C2×C4×C11—41no—
316C2×C4×C11—41no—
317C2×C4×C11—42no—
318C2×C4×C11—84no—
319C2×C4×C11#12012yes—
320C2×C4×C11C22×D412yes—
321C2×C4×C11C22×D411yescharacteristic
322C2×C4×C11C22×D411yescharacteristic
323C2×C4×C11H(5,𝔽2)12yes—
324C22⋊D11—88no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328D44—24no—
329D44—24no—
330D44—48no—
331D44—42no—
332D44—42no—
333C11⋊C8—24no—
334C11⋊C8—42no—
335C22×#41C2×D1111yescharacteristic, complemented
336C23×D4—111no—
337C23×D4C2×D1111yescharacteristic
338C22×SD16—112no—
339C22×D8—112no—
340C22×D8—112no—
341C22×D8—228no—
342C22×D8—224no—
343C23×C8—111no—
344#546—24no—
345#546—24no—
346C2×#124C2×D1111yescharacteristic, complemented
347C2×#123—21no—
348C2×C22⋊Q8C2×D1111yescharacteristic
349C2×#121—21no—
350C2×#121—112no—
351C2×#121C2×D1111yescharacteristic, complemented
352C2×#120—21no—
353C2×#120—221no—
354C2×C4×D4C2×D1111yescharacteristic
355C2×C4×D4C2×D1111yescharacteristic, complemented
356C22×C22⋊C4—21no—
357#450—224no—
358#449—228no—
359C2×#103—112no—
360C2×#102—112no—
361C2×#102—112no—
362C2×#102—112no—
363C2×C22⋊C8—111no—
364C2×C22⋊C8—112no—
365#394—221no—
366#392—221no—
367#390—112no—
368#380—111no—
369#379—221no—
370#340—112no—
371#336—112no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—24no—
375C22×C11—24no—
376C22×C11—24no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—44no—
380C22×C11—44no—
381C22×C11—41no—
382C22×C11—42no—
383C22×C11—41no—
384C22×C11—42no—
385C22×C11—41no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—816no—
390C22×C11—82no—
391C22×C11—82no—
392C22×C11#44914yescomplemented
393C22×C11C2×#12011yescharacteristic
394C22×C11D4212yes—
395C22×C11C2×#13511yescharacteristic
396C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
397C22×C11#57612yes—
398C2×D11—44no—
399C2×D11—44no—
400C2×D11—44no—
401C2×D11—816no—
402C2×D11—82no—
403C2×D11—82no—
404C2×D11—82no—
405C2×D11—82no—
406C4×C11—22no—
407C4×C11—41no—
408C4×C11—42no—
409C4×C11—41no—
410C4×C11—41no—
411C4×C11—42no—
412C4×C11C2×#12011yescharacteristic
413C4×C11#53411yescharacteristic
414C4×C11D4212yes—
415Dic11—82no—
416C25—21no—
417C25—221no—
418C2×#41—22no—
419C2×#41—22no—
420C2×#41—24no—
421C2×#41—42no—
422C22×Q8C22×D1111yescharacteristic
423C22×D4—24no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—22no—
428C22×D4—42no—
429C22×D4—112no—
430C22×D4—224no—
431C22×D4—222no—
432C22×D4—222no—
433C22×D4—222no—
434C22×D4—221no—
435C22×D4—442no—
436C22×D4C22⋊D1111yescharacteristic
437C22×D4C22⋊D1114yescomplemented
438C22×D4C22×D1111yescharacteristic
439C22×D4C22×D1111yescharacteristic
440C23×C4—21no—
441C23×C4—21no—
442C23×C4C22×D1111yescharacteristic
443C23×C4C22×D1111yescharacteristic
444C2×SD16—224no—
445C2×SD16—224no—
446C2×SD16—442no—
447C2×D8—118no—
448C2×D8—224no—
449C2×D8—224no—
450C2×D8—2232no—
451C2×D8—224no—
452C2×D8—224no—
453C2×D8—224no—
454C22×C8—112no—
455C22×C8—112no—
456C22×C8—224no—
457C22×C8—222no—
458#124—22no—
459#124—22no—
460#123—28no—
461C22⋊Q8—22no—
462C22⋊Q8C22⋊D1114yescomplemented
463#121—28no—
464#121—22no—
465#121—22no—
466#121—224no—
467#121—442no—
468#120—28no—
469#120—444no—
470C4×D4—22no—
471C4×D4—22no—
472C4×D4—22no—
473C4×D4—22no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—112no—
476C2×C4⋊C4C22⋊D1111yescharacteristic
477C2×C4⋊C4C22×D1111yescharacteristic
478C2×C22⋊C4—28no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—221no—
485C2×C22⋊C4—222no—
486C2×C22⋊C4—222no—
487C2×C22⋊C4—222no—
488C2×C22⋊C4C22⋊D1111yescharacteristic
489C2×C22⋊C4C22⋊D1111yescharacteristic
490C2×C42C22×D1111yescharacteristic
491#103—224no—
492#102—224no—
493#102—224no—
494#102—442no—
495C22⋊C8—224no—
496C22⋊C8—222no—
497#95—221no—
498C2×C11—24no—
499C2×C11—44no—
500C2×C11—81no—
501C2×C11—82no—
502C2×C11#240311yescharacteristic
503C2×C11C2×#44911yescharacteristic
504C2×C11#300811yescharacteristic
505C2×C11#326412yes—
506C2×C11#328012yes—
507D11—84no—
508C24—21no—
509C24—21no—
510C24—24no—
511C24—44no—
512C24—42no—
513C24—42no—
514C24—82no—
515C24—222no—
516C24—444no—
517C24—442no—
518C24—442no—
519C24—442no—
520C24—882no—
521C24C2×C22⋊D1111yescharacteristic
522C24C2×C22⋊D1111yescharacteristic
523#41—48no—
524#41—44no—
525#41—44no—
526C2×Q8—21no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8C2×C22⋊D1112yes—
530C2×D4—28no—
531C2×D4—24no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—24no—
536C2×D4—24no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—44no—
543C2×D4—48no—
544C2×D4—44no—
545C2×D4—44no—
546C2×D4—82no—
547C2×D4—114no—
548C2×D4—228no—
549C2×D4—222no—
550C2×D4—222no—
551C2×D4—222no—
552C2×D4—222no—
553C2×D4—222no—
554C2×D4—448no—
555C2×D4—444no—
556C2×D4—444no—
557C2×D4—444no—
558C2×D4—444no—
559C2×D4—442no—
560C2×D4—882no—
561C2×D4D4×D1114yes—
562C2×D4C2×C22⋊D1112yes—
563C2×D4C2×C22⋊D1112yes—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—24no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—24no—
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—44no—
575C22×C4—82no—
576C22×C4—222no—
577C22×C4C2×C22⋊D1111yescharacteristic
578C22×C4C2×C22⋊D1111yescharacteristic
579C22×C4C2×C22⋊D1111yescharacteristic
580C22×C4C2×C22⋊D1111yescharacteristic
581C22×C4C2×C22⋊D1112yes—
582C22×C4C2×C22⋊D1112yes—
583C22×C4C23×D1111yescharacteristic
584SD16—448no—
585D8—2216no—
586D8—2216no—
587C2×C8—114no—
588C2×C8—228no—
589C2×C8—222no—
590C2×C8—222no—
591C2×C8—222no—
592C2×C8—222no—
593C2×C8—222no—
594C4⋊C4—24no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—222no—
598C4⋊C4—222no—
599C4⋊C4C2×C22⋊D1112yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—22no—
605C22⋊C4—24no—
606C22⋊C4—22no—
607C22⋊C4—444no—
608C22⋊C4—444no—
609C22⋊C4—442no—
610C22⋊C4—882no—
611C42—21no—
612C42—21no—
613C11#2385111yescharacteristic, complemented, Sylow
614C23—22no—
615C23—22no—
616C23—24no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—21no—
621C23—22no—
622C23—22no—
623C23—21no—
624C23—48no—
625C23—41no—
626C23—41no—
627C23—42no—
628C23—42no—
629C23—41no—
630C23—41no—
631C23—48no—
632C23—42no—
633C23—84no—
634C23—88no—
635C23—88no—
636C23—224no—
637C23—448no—
638C23—442no—
639C23—442no—
640C23—442no—
641C23—442no—
642C23—442no—
643C23—442no—
644C23—888no—
645C23—888no—
646C23—884no—
647C23—884no—
648C23#6700212yes—
649C23#6700312yes—
650C23#6700612yes—
651C23C22×C22⋊D1111yescharacteristic
652Q8—24no—
653Q8—41no—
654Q8—41no—
655D4—22no—
656D4—24no—
657D4—22no—
658D4—22no—
659D4—48no—
660D4—48no—
661D4—44no—
662D4—42no—
663D4—84no—
664D4—224no—
665D4—224no—
666D4—448no—
667D4—442no—
668D4—442no—
669D4—888no—
670D4#6699014yescomplemented
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—22no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—48no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—41no—
690C2×C4—84no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4#6700612yes—
695C2×C4C2×D4×D1112yes—
696C2×C4#6703712yes—
697C2×C4C22×C22⋊D1111yescharacteristic
698C2×C4C22×C22⋊D1111yescharacteristic
699C8—224no—
700C8—442no—
701C22—24no—
702C22—22no—
703C22—22no—
704C22—24no—
705C22—24no—
706C22—44no—
707C22—42no—
708C22—42no—
709C22—44no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—816no—
719C22—82no—
720C22—82no—
721C22—444no—
722C22—444no—
723C22—444no—
724C22—8816no—
725C22—882no—
726C22—882no—
727C22—882no—
728C22—882no—
729C22#1062285114yescomplemented
730C22D4×C22⋊D1112yes—
731C22C2×#6700211yescharacteristic
732C22C2×#6700311yescharacteristic
733C22#1062336612yes—
734C22C2×#6700611yescharacteristic
735C4—22no—
736C4—41no—
737C4—42no—
738C4—41no—
739C4—41no—
740C4—42no—
741C4—882no—
742C4C2×#6699011yescharacteristic
743C4D4×C22⋊D1112yes—
744C4#1062333511yescharacteristic
745C2—24no—
746C2—44no—
747C2—81no—
748C2—82no—
749C2—884no—
750C2#1307192611yescharacteristic
751C2C2×#1062285111yescharacteristic
752C2#1307788411yescharacteristic
753C2#1308009712yes—
754C2#1308029712yes—
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#546C2
socleC23×C11C22×D4
hypercenterC2×#546D11
hypocenterC11#23851
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C23×#4323C2semidirect
2. C2×#10622851C2semidirect
3. C2×#10622659C2semidirect
4. #13071972C2semidirect
5. #13069693C2semidirect
6. #13069612C2semidirect
7. #13069040C2semidirect
8. #13068964C2semidirect
9. #13068909C2semidirect
10. #13068547C2semidirect
11. C2×C11×#546C2semidirect
12. C22×C11×#41C22semidirect
17. C2×C11×#124C22semidirect
21. C2×C11×#121C22semidirect
24. C2×C4×D4×C11C22semidirect
26. C22×#4325C22semidirect
32. C2×#66983C22semidirect
35. C2×#66899C22semidirect
36. C2×#66896C22semidirect
37. C2×#66896C22semidirect
40. C2×C22⋊(C11⋊C8)C22semidirect
43. C2×#66873C22semidirect
46. #10622552C22semidirect
47. #10622167C22semidirect
48. #10622162C22semidirect
63. C22×D4×C11D4semidirect
81. C11×C22⋊Q8D4semidirect
113. C2×#4323D4semidirect
238. C2×#546D11semidirect
298. D4×C11#120semidirect
335. C22×#41C2×D11semidirect
346. C2×#124C2×D11semidirect
351. C2×#121C2×D11semidirect
355. C2×C4×D4C2×D11semidirect
392. C22×C11#449semidirect
437. C22×D4C22⋊D11semidirect
462. C22⋊Q8C22⋊D11semidirect
613. C11#23851semidirect
670. D4#66990semidirect
729. C22#10622851semidirect

Maximal subgroups

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

subgroupindex
C23×#43232
C2×#106228512
C2×#106226592
#130719722
#130696932
#130696122
#130690402
#130689642
#130689092
#130685472
C2×C11×#5462
#2385111