Finite Group Databasebeta

← C2×#13069629 #14780647

Subgroups — C2×#13069629 #14780647

Order 2816.

2750 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×#67002C211yesmaximal, characteristic, complemented
2C22×#66993C211yesmaximal, characteristic, complemented
3C22×#66901C211yesmaximal, characteristic, complemented
4C2×#10622614C211yesmaximal, characteristic, complemented
5C22×#66897C211yesmaximal, characteristic, complemented
6#13069629C218yesmaximal, direct product factor
7C2×#10622170C211yesmaximal, characteristic, complemented
8C2×C11×#535C211yesmaximal, characteristic, complemented
9C22×C11×#41C2211yescharacteristic
10C23×D4×C11C2211yescharacteristic
11C23×C22⋊D11—22no—
12C23×D44C2211yescharacteristic
13C11×#535—22no—
14C11×#535—22no—
15C11×#535—22no—
16C11×#535C2214yescomplemented
17C2×C11×#127—21no—
18C2×C11×#124—21no—
19C2×C11×#121—22no—
20C2×C11×#120—22no—
21C2×C11×#117C2211yescharacteristic
22C2×#67002—22no—
23C2×#67002—24no—
24C2×#67002—24no—
25C2×#67002C2214yescomplemented
26C22×#4325—21no—
27C2×#66993—22no—
28C2×#66993—24no—
29C2×#66993—24no—
30C2×#66993C2214yescomplemented
31C22×#4323—21no—
32C22×C4×Dic11C2211yescharacteristic
33C22×#4318C2211yescharacteristic
34C22×#4318C2211yescharacteristic
35C2×#66901—24no—
36C2×#66901C2214yescomplemented
37C2×#66897—24no—
38C2×#66897C2214yescomplemented
39#10622614—22no—
40#10622614C2214yescomplemented
41C2×#66873—22no—
42#10622170C2214yescomplemented
43C25×C11D412yes—
44C24×D11—21no—
45C2×C11×#41—21no—
46C2×C11×#41—21no—
47C2×C11×#41—22no—
48C2×C11×#41—22no—
49C2×C11×#41—22no—
50C2×C11×#41—22no—
51C2×C11×#41D412yescomplemented
52C2×C11×#41C2312yes—
53C22×Q8×C11D411yescharacteristic, complemented
54C22×D4×C11—21no—
55C22×D4×C11—24no—
56C22×D4×C11—22no—
57C22×D4×C11—22no—
58C22×D4×C11—22no—
59C22×D4×C11—21no—
60C22×D4×C11—21no—
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11—22no—
64C22×D4×C11D412yes—
65C22×D4×C11D411yescharacteristic, complemented
66C22×D4×C11C2312yes—
67C23×C4×C11—21no—
68C23×C4×C11C2311yescharacteristic
69C22×C22⋊D11—216no—
70C22×C22⋊D11—28no—
71C22×C22⋊D11—416no—
72C23×Dic11—21no—
73C22×D44—21no—
74C22×D44—21no—
75C22×D44—22no—
76C22×D44—21no—
77C22×D44—21no—
78C22×D44—22no—
79C22×D44—22no—
80C22×D44—21no—
81C22×D44D414yescomplemented
82C22×D44C2312yes—
83C11×#127—24no—
84C11×#127—24no—
85C11×#124—24no—
86C11×#124—24no—
87C11×#121—28no—
88C11×#121—28no—
89C11×#120—28no—
90C11×#120—28no—
91C11×#117—21no—
92C11×#117—21no—
93C11×#117D412yescomplemented
94C11×#117C2312yes—
95C2×C11×C4⋊C4D412yescomplemented
96C2×C11×C22⋊C4—24no—
97C2×C11×C22⋊C4—21no—
98C2×C42×C11—21no—
99#67002—216no—
100#67002—28no—
101#67002—28no—
102C2×#4325—28no—
103C2×#4325—24no—
104#66993—216no—
105#66993—28no—
106#66993—28no—
107C2×#4323—28no—
108C2×#4323—24no—
109C2×C4×Dic11—22no—
110C2×C4×Dic11—21no—
111C2×C4×Dic11D414yescomplemented
112C2×C4×Dic11C2312yes—
113C2×#4318—22no—
114C2×#4318—21no—
115C2×#4318—21no—
116C2×#4318—22no—
117C2×#4318—22no—
118C2×#4318D414yescomplemented
119C2×#4318C2312yes—
120C2×#4318C2312yes—
121C22×C11⋊C8—21no—
122C22×C11⋊C8—21no—
123#66901—28no—
124#66897—28no—
125#66873—28no—
126C2×#2002—111nomaximal, Sylow
127C24×C11—22no—
128C24×C11—24no—
129C24×C11—21no—
130C24×C11—22no—
131C24×C11—24no—
132C24×C11—48no—
133C24×C11C2×D411yescharacteristic
134C24×C11C2×D414yes—
135C23×D11—24no—
136C23×D11—22no—
137C23×D11—48no—
138C23×D11—41no—
139C23×D11—41no—
140C23×D11—42no—
141C11×#41—24no—
142C11×#41—24no—
143C11×#41—22no—
144C11×#41—22no—
145C11×#41—22no—
146C11×#41—22no—
147C11×#41—42no—
148C11×#41—42no—
149C11×#41—42no—
150C11×#41—42no—
151C2×Q8×C11—21no—
152C2×Q8×C11—22no—
153C2×Q8×C11—22no—
154C2×Q8×C11C2×D412yescomplemented
155C2×D4×C11—22no—
156C2×D4×C11—22no—
157C2×D4×C11—216no—
158C2×D4×C11—22no—
159C2×D4×C11—24no—
160C2×D4×C11—22no—
161C2×D4×C11—22no—
162C2×D4×C11—21no—
163C2×D4×C11—22no—
164C2×D4×C11—24no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—22no—
168C2×D4×C11—22no—
169C2×D4×C11—22no—
170C2×D4×C11—22no—
171C2×D4×C11—42no—
172C2×D4×C11—42no—
173C2×D4×C11—42no—
174C2×D4×C11—42no—
175C2×D4×C11—42no—
176C2×D4×C11—42no—
177C2×D4×C11—42no—
178C2×D4×C11—42no—
179C2×D4×C11—42no—
180C2×D4×C11—42no—
181C2×D4×C11—88no—
182C2×D4×C11C2×D412yescomplemented
183C22×C4×C11—22no—
184C22×C4×C11—21no—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—42no—
188C22×C4×C11—42no—
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2×D412yes—
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11#4112yes—
198C22×C4×C11C2411yescharacteristic
199C2×C22⋊D11—232no—
200C2×C22⋊D11—432no—
201C2×C22⋊D11—464no—
202C22×Dic11—28no—
203C22×Dic11—24no—
204C22×Dic11—22no—
205C2×D44—24no—
206C2×D44—24no—
207C2×D44—24no—
208C2×D44—24no—
209C2×D44—24no—
210C2×D44—22no—
211C2×D44—22no—
212C2×D44—22no—
213C2×D44—22no—
214C2×D44—22no—
215C2×D44—41no—
216C2×D44—41no—
217C2×D44—42no—
218C2×D44—42no—
219C2×D44—42no—
220C2×D44—42no—
221C2×D44—42no—
222C2×D44C2×D414yescomplemented
223C11×C4⋊C4—22no—
224C11×C4⋊C4C2×D414yescomplemented
225C11×C22⋊C4—216no—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C42×C11—22no—
229C42×C11—22no—
230#4325—216no—
231#4323—216no—
232C4×Dic11—24no—
233C4×Dic11—22no—
234C4×Dic11C2×D414yescomplemented
235#4318—24no—
236#4318—22no—
237#4318—22no—
238#4318—22no—
239#4318—42no—
240#4318C2×D414yescomplemented
241C2×C11⋊C8—24no—
242C2×C11⋊C8—22no—
243C2×C11⋊C8—22no—
244C2×C11⋊C8—42no—
245C22×AGL(1,ℤ/8)—111no—
246C2×#535D1111yescharacteristic, complemented
247C22×#127—111no—
248C22×#104—111no—
249C2×#418—111no—
250C22×#100—111no—
251#2002—118no—
252C2×#339—111no—
253C23×C11—24no—
254C23×C11—24no—
255C23×C11—24no—
256C23×C11—22no—
257C23×C11—24no—
258C23×C11—48no—
259C23×C11—416no—
260C23×C11—42no—
261C23×C11—44no—
262C23×C11—44no—
263C23×C11—44no—
264C23×C11—48no—
265C23×C11—84no—
266C23×C11—88no—
267C23×C11#12012yes—
268C23×C11#12011yescharacteristic
269C23×C11#12011yescharacteristic
270C23×C11#12112yes—
271C23×C11C22×D411yescharacteristic
272C22×D11—24no—
273C22×D11—48no—
274C22×D11—416no—
275C22×D11—42no—
276C22×D11—42no—
277C22×D11—44no—
278C22×D11—44no—
279C22×D11—84no—
280C22×D11—88no—
281C22×D11—84no—
282Q8×C11—22no—
283Q8×C11—22no—
284Q8×C11—42no—
285D4×C11—22no—
286D4×C11—22no—
287D4×C11—42no—
288D4×C11—42no—
289D4×C11—44no—
290D4×C11—42no—
291D4×C11—42no—
292D4×C11—42no—
293D4×C11—42no—
294D4×C11—44no—
295D4×C11—44no—
296D4×C11—42no—
297D4×C11—816no—
298C2×C4×C11—24no—
299C2×C4×C11—22no—
300C2×C4×C11—42no—
301C2×C4×C11—44no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—44no—
305C2×C4×C11#12012yes—
306C2×C4×C11#12012yes—
307C2×C4×C11#12012yes—
308C2×C4×C11#12011yescharacteristic
309C2×C4×C11#12011yescharacteristic
310C2×C4×C11#12112yes—
311C2×C4×C11#12112yes—
312C2×C4×C11#12112yes—
313C2×C4×C11#12112yes—
314C2×C4×C11#12112yes—
315C2×C4×C11#12712yes—
316C2×C4×C11#12712yes—
317C2×C4×C11C22×D411yescharacteristic
318C2×C4×C11C22×D411yescharacteristic
319C2×C4×C11C22×D411yescharacteristic
320C2×C4×C11C22×D411yescharacteristic
321C2×C4×C11C22×D411yescharacteristic
322C2×C4×C11C2×#4111yescharacteristic
323C22⋊D11—464no—
324C2×Dic11—28no—
325C2×Dic11—216no—
326C2×Dic11—24no—
327D44—24no—
328D44—24no—
329D44—42no—
330D44—42no—
331D44—44no—
332D44—44no—
333C11⋊C8—24no—
334C11⋊C8—42no—
335C22×#41C2×D1111yescharacteristic
336C23×D4—111no—
337C23×D4—222no—
338C23×D4C2×D1111yescharacteristic
339C2×AGL(1,ℤ/8)—114no—
340C2×AGL(1,ℤ/8)—224no—
341C2×AGL(1,ℤ/8)—224no—
342C2×AGL(1,ℤ/8)—222no—
343C22×SD16—221no—
344C22×D8—221no—
345C22×M16—111no—
346C22×M16—111no—
347#535—22no—
348#535—22no—
349#535—22no—
350#535C2×D1114yescomplemented
351C2×#127—21no—
352C2×#127—114no—
353C2×#127—224no—
354C2×#127—224no—
355C2×#127—222no—
356C2×#124—21no—
357C2×#121—22no—
358C2×#120—22no—
359C2×#117C2×D1111yescharacteristic
360C22×C42—111no—
361C2×#104—114no—
362C2×#104—224no—
363#418—114no—
364#418—222no—
365C2×#102—222no—
366C2×#100—114no—
367C2×#100—224no—
368#339—114no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—24no—
372C22×C11—24no—
373C22×C11—48no—
374C22×C11—42no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11—48no—
378C22×C11—84no—
379C22×C11—88no—
380C22×C11—84no—
381C22×C11—88no—
382C22×C11#39212yes—
383C22×C11#39212yes—
384C22×C11#45314yes—
385C22×C11C2×#12011yescharacteristic
386C22×C11C2×#12011yescharacteristic
387C22×C11C2×#12111yescharacteristic
388C2×D11—48no—
389C2×D11—44no—
390C2×D11—84no—
391C2×D11—88no—
392C2×D11—84no—
393C2×D11—88no—
394C4×C11—42no—
395C4×C11—44no—
396C4×C11#39212yes—
397C4×C11#39212yes—
398C4×C11C2×#12011yescharacteristic
399C4×C11C2×#12111yescharacteristic
400C4×C11C2×#12111yescharacteristic
401C4×C11C2×#12711yescharacteristic
402Dic11—28no—
403C25—221no—
404C25C22⋊D1112yes—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41C22⋊D1112yescomplemented
412C2×#41C22×D1112yes—
413C22×Q8C22⋊D1111yescharacteristic, complemented
414C22×D4—21no—
415C22×D4—24no—
416C22×D4—22no—
417C22×D4—22no—
418C22×D4—22no—
419C22×D4—22no—
420C22×D4—21no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—114no—
425C22×D4—112no—
426C22×D4—2216no—
427C22×D4—228no—
428C22×D4—222no—
429C22×D4—222no—
430C22×D4—222no—
431C22×D4—221no—
432C22×D4—221no—
433C22×D4—221no—
434C22×D4—221no—
435C22×D4—221no—
436C22×D4—4416no—
437C22×D4C22⋊D1112yes—
438C22×D4C22⋊D1111yescharacteristic, complemented
439C22×D4C22×D1112yes—
440C23×C4—21no—
441C23×C4—221no—
442C23×C4C22×D1111yescharacteristic
443AGL(1,ℤ/8)—228no—
444AGL(1,ℤ/8)—228no—
445AGL(1,ℤ/8)—2216no—
446C2×SD16—228no—
447C2×SD16—224no—
448C2×D8—228no—
449C2×D8—224no—
450C2×M16—114no—
451C2×M16—112no—
452C2×M16—112no—
453C2×M16—222no—
454C2×M16—221no—
455C2×M16—221no—
456C2×M16—222no—
457C2×M16—222no—
458C22×C8—221no—
459C22×C8—221no—
460#127—24no—
461#127—24no—
462#127—228no—
463#127—228no—
464#127—2216no—
465#124—24no—
466#124—24no—
467#121—28no—
468#121—28no—
469#120—28no—
470#120—28no—
471#117—21no—
472#117—21no—
473#117C22⋊D1112yescomplemented
474#117C22×D1112yes—
475C2×C4⋊C4C22⋊D1112yescomplemented
476C2×C22⋊C4—24no—
477C2×C22⋊C4—21no—
478C2×C42—21no—
479C2×C42—114no—
480C2×C42—112no—
481C2×C42—222no—
482C2×C42—221no—
483#104—228no—
484#102—228no—
485#100—228no—
486C2×C11—21no—
487C2×C11—21no—
488C2×C11—22no—
489C2×C11—84no—
490C2×C11—82no—
491C2×C11#200214yescomplemented
492C2×C11C2×#39211yescharacteristic
493C2×C11C2×#45312yes—
494D11—84no—
495C24—24no—
496C24—22no—
497C24—21no—
498C24—24no—
499C24—22no—
500C24—48no—
501C24—224no—
502C24—222no—
503C24—448no—
504C24—442no—
505C24—441no—
506C24—441no—
507C24C2×C22⋊D1111yescharacteristic
508C24C2×C22⋊D1114yes—
509#41—24no—
510#41—24no—
511#41—22no—
512#41—22no—
513#41—22no—
514#41—22no—
515#41—42no—
516#41—42no—
517#41—42no—
518#41—42no—
519C2×Q8—21no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8C2×C22⋊D1112yescomplemented
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—216no—
526C2×D4—22no—
527C2×D4—24no—
528C2×D4—22no—
529C2×D4—24no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—42no—
544C2×D4—42no—
545C2×D4—42no—
546C2×D4—42no—
547C2×D4—42no—
548C2×D4—42no—
549C2×D4—88no—
550C2×D4—114no—
551C2×D4—2232no—
552C2×D4—224no—
553C2×D4—224no—
554C2×D4—224no—
555C2×D4—224no—
556C2×D4—224no—
557C2×D4—222no—
558C2×D4—222no—
559C2×D4—222no—
560C2×D4—222no—
561C2×D4—222no—
562C2×D4—4432no—
563C2×D4—4464no—
564C2×D4—442no—
565C2×D4—442no—
566C2×D4—442no—
567C2×D4—442no—
568C2×D4—442no—
569C2×D4—441no—
570C2×D4—441no—
571C2×D4C2×C22⋊D1112yescomplemented
572C22×C4—22no—
573C22×C4—21no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—42no—
577C22×C4—42no—
578C22×C4—228no—
579C22×C4—224no—
580C22×C4—222no—
581C22×C4D4×D1112yes—
582C22×C4D4×D1112yes—
583C22×C4D4×D1112yes—
584C22×C4#434112yes—
585C22×C4C2×C22⋊D1111yescharacteristic
586C22×C4C2×C22⋊D1111yescharacteristic
587C22×C4C2×C22⋊D1111yescharacteristic
588C22×C4C2×C22⋊D1111yescharacteristic
589C22×C4C2×C22⋊D1111yescharacteristic
590C22×C4C23×D1111yescharacteristic
591SD16—2216no—
592D8—2216no—
593M16—114no—
594M16—224no—
595M16—222no—
596M16—222no—
597M16—222no—
598M16—442no—
599C2×C8—224no—
600C2×C8—222no—
601C2×C8—222no—
602C2×C8—442no—
603C4⋊C4—22no—
604C4⋊C4C2×C22⋊D1114yescomplemented
605C22⋊C4—216no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C42—22no—
609C42—22no—
610C42—114no—
611C42—224no—
612C42—222no—
613C11C2×#200211yescharacteristic, complemented, Sylow
614C23—24no—
615C23—24no—
616C23—24no—
617C23—22no—
618C23—24no—
619C23—48no—
620C23—416no—
621C23—42no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—48no—
626C23—84no—
627C23—88no—
628C23—224no—
629C23—4416no—
630C23—448no—
631C23—442no—
632C23—444no—
633C23—444no—
634C23—442no—
635C23—888no—
636C23—884no—
637C23—884no—
638C23#6699012yes—
639C23#6699212yes—
640C23#6700611yescharacteristic
641C23#6700611yescharacteristic
642C23C22×C22⋊D1111yescharacteristic
643Q8—22no—
644Q8—22no—
645Q8—42no—
646D4—22no—
647D4—22no—
648D4—42no—
649D4—42no—
650D4—44no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—44no—
656D4—44no—
657D4—42no—
658D4—816no—
659D4—224no—
660D4—224no—
661D4—4464no—
662D4—442no—
663D4—442no—
664D4—444no—
665D4—444no—
666C2×C4—24no—
667C2×C4—22no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—2216no—
674C2×C4—228no—
675C2×C4—224no—
676C2×C4#6699012yes—
677C2×C4#6699012yes—
678C2×C4#6699012yes—
679C2×C4#6699112yes—
680C2×C4#6699112yes—
681C2×C4#6699212yes—
682C2×C4#6699212yes—
683C2×C4#6699212yes—
684C2×C4#6699312yes—
685C2×C4#6699312yes—
686C2×C4#6700611yescharacteristic
687C2×C4#6700611yescharacteristic
688C2×C4C2×D4×D1111yescharacteristic
689C2×C4C2×D4×D1111yescharacteristic
690C2×C4C2×D4×D1111yescharacteristic
691C2×C4C2×#434111yescharacteristic
692C2×C4C22×C22⋊D1111yescharacteristic
693C2×C4C22×C22⋊D1111yescharacteristic
694C8—224no—
695C8—442no—
696C22—24no—
697C22—24no—
698C22—22no—
699C22—22no—
700C22—48no—
701C22—44no—
702C22—48no—
703C22—42no—
704C22—44no—
705C22—84no—
706C22—88no—
707C22—88no—
708C22—84no—
709C22—448no—
710C22—444no—
711C22—884no—
712C22—888no—
713C22—888no—
714C22—884no—
715C22#1062283612yes—
716C22#1062283612yes—
717C22#1062285414yes—
718C22C2×#6699011yescharacteristic
719C22C2×#6699211yescharacteristic
720C22C2×#6700611yescharacteristic
721C4—44no—
722C4—42no—
723C4—228no—
724C4#1062283612yes—
725C4#1062283612yes—
726C4C2×#6699011yescharacteristic
727C4C2×#6699111yescharacteristic
728C4C2×#6699211yescharacteristic
729C4C2×#6699311yescharacteristic
730C2—21no—
731C2—21no—
732C2—22no—
733C2—84no—
734C2—82no—
735C2—884no—
736C2#1306962914yesdirect product factor
737C2C2×#1062283611yescharacteristic
738C2C2×#1062285412yes—
subgroupG/H
centerC23#67006
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#535C2
socleC23×C11#120
hypercenterC2×#535D11
hypocenterC11C2×#2002
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. C22×#67002C2semidirect
2. C22×#66993C2semidirect
3. C22×#66901C2semidirect
4. C2×#10622614C2semidirect
5. C22×#66897C2semidirect
6. #13069629C2direct (N × H)
7. C2×#10622170C2semidirect
8. C2×C11×#535C2semidirect
16. C11×#535C22semidirect
25. C2×#67002C22semidirect
30. C2×#66993C22semidirect
36. C2×#66901C22semidirect
38. C2×#66897C22semidirect
40. #10622614C22semidirect
42. #10622170C22semidirect
51. C2×C11×#41D4semidirect
53. C22×Q8×C11D4semidirect
65. C22×D4×C11D4semidirect
81. C22×D44D4semidirect
93. C11×#117D4semidirect
95. C2×C11×C4⋊C4D4semidirect
111. C2×C4×Dic11D4semidirect
118. C2×#4318D4semidirect
154. C2×Q8×C11C2×D4semidirect
182. C2×D4×C11C2×D4semidirect
222. C2×D44C2×D4semidirect
224. C11×C4⋊C4C2×D4semidirect
234. C4×Dic11C2×D4semidirect
240. #4318C2×D4semidirect
246. C2×#535D11semidirect
350. #535C2×D11semidirect
411. C2×#41C22⋊D11semidirect
413. C22×Q8C22⋊D11semidirect
438. C22×D4C22⋊D11semidirect
473. #117C22⋊D11semidirect
475. C2×C4⋊C4C22⋊D11semidirect
491. C2×C11#2002semidirect
522. C2×Q8C2×C22⋊D11semidirect
571. C2×D4C2×C22⋊D11semidirect
604. C4⋊C4C2×C22⋊D11semidirect
613. C11C2×#2002semidirect
736. C2#13069629direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670022
C22×#669932
C22×#669012
C2×#106226142
C22×#668972
#130696292
C2×#106221702
C2×C11×#5352
C2×#200211