Finite Group Databasebeta

← C2×#13078153 #15620696

Subgroups — C2×#13078153 #15620696

Order 2816.

2934 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67002C211yesmaximal, characteristic, complemented
2C2×#10623361C211yesmaximal, characteristic, complemented
3C2×#10623358C211yesmaximal, characteristic, complemented
4#13078153C2116yesmaximal, direct product factor
5C2×#10622798C212yesmaximal, complemented
6C2×#10622776C212yesmaximal, complemented
7C2×#10622778C212yesmaximal, complemented
8C2×#10622763C212yesmaximal, complemented
9C2×#10622715C211yesmaximal, characteristic, complemented
10C2×#10622845C211yesmaximal, characteristic, complemented
11C22×#66885C211yesmaximal, characteristic, complemented
12C22×C11×#135C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic
14C22×C11×#41C2211yescharacteristic
15C23×D44C2211yescharacteristic
16C2×C11×#135—28no—
17C2×C11×#135C2218yescomplemented
18C22×C11×Q16C2211yescharacteristic, complemented
19C22×C11×SD16C2211yescharacteristic, complemented
20C22×C11×SD16C2211yescharacteristic, complemented
21C22×C11×D8C2211yescharacteristic, complemented
22C23×C8×C11C2211yescharacteristic
23#10623361—24no—
24#10623361C2218yescomplemented
25#10623358—24no—
26#10623358C2218yescomplemented
27C2×#67002—28no—
28C2×#67002C2218yescomplemented
29C2×#67000C2212yes—
30C2×Q8×Dic11C2212yescomplemented
31C22×#4325C2212yes—
32C2×#66993C2212yes—
33C2×#66990—22no—
34C2×D4×Dic11—22no—
35C2×D4×Dic11C2212yescomplemented
36C22×#4323C2212yes—
37C2×#66983—21no—
38C2×#66983—21no—
39C2×#66979—21no—
40C2×#66979C2211yescharacteristic
41C22×C4⋊Dic11—21no—
42C22×C4⋊Dic11C2211yescharacteristic
43C22×#4318C2211yescharacteristic
44#10622845C2218yescomplemented
45C2×#66899C2212yescomplemented
46C2×#66896C2212yescomplemented
47#10622798C22116yescomplemented
48#10622778C22116yescomplemented
49#10622776C22116yescomplemented
50#10622763C22116yescomplemented
51C2×#66885C2212yes—
52C2×#66885C2212yes—
53C2×#66885C2218yescomplemented
54#10622715C2218yescomplemented
55C2×Dic11⋊C8C2212yescomplemented
56C2×Dic11⋊C8C2212yescomplemented
57C24×D11—21no—
58C2×C11×#41—22no—
59C2×C11×#41—22no—
60C2×C11×#41—24no—
61C2×C11×#41—24no—
62C2×C11×#41—24no—
63C2×C11×#41D418yescomplemented
64C2×C11×#41C2314yes—
65C2×C11×#41C2314yes—
66C22×Q8×C11C2311yescharacteristic
67C22×Q8×C11C2311yescharacteristic
68C22×D4×C11—21no—
69C22×D4×C11—21no—
70C22×D4×C11C2311yescharacteristic
71C22×D4×C11C2311yescharacteristic
72C23×C4×C11—21no—
73C23×C4×C11—21no—
74C23×C4×C11C2311yescharacteristic
75C22×C22⋊D11—22no—
76C22×C22⋊D11—22no—
77C23×Dic11—21no—
78C23×Dic11—22no—
79C22×D44—24no—
80C22×D44—24no—
81C22×D44—21no—
82C22×D44—22no—
83C22×D44C2312yes—
84C22×D44C2314yes—
85C11×#135—232no—
86C2×C11×Q16—24no—
87C2×C11×Q16C2314yescomplemented
88C2×C11×SD16—24no—
89C2×C11×SD16—24no—
90C2×C11×SD16C2314yescomplemented
91C2×C11×SD16C2314yescomplemented
92C2×C11×D8—24no—
93C2×C11×D8C2314yescomplemented
94C22×C8×C11—24no—
95C22×C8×C11C2311yescharacteristic
96C22×C8×C11C2311yescharacteristic
97C22×C8×C11C2314yes—
98C2×C22⋊Dic11—22no—
99C2×C22⋊Dic11D412yes—
100#67002—232no—
101#67000—24no—
102#67000C2318yes—
103Q8×Dic11—24no—
104Q8×Dic11C2318yescomplemented
105C2×#4325—28no—
106C2×#4325C2318yes—
107#66993—24no—
108#66993C2318yes—
109#66990—216no—
110D4×Dic11—216no—
111D4×Dic11—24no—
112D4×Dic11C2318yescomplemented
113C2×#4323—28no—
114C2×#4323C2318yes—
115#66983—28no—
116#66983—28no—
117C2×(C2×D11)⋊C4—22no—
118C2×(C2×D11)⋊C4—22no—
119#66979—28no—
120#66979D414yes—
121#66979C2314yes—
122C2×C4⋊Dic11—21no—
123C2×C4⋊Dic11—22no—
124C2×C4⋊Dic11—22no—
125C2×C4⋊Dic11—28no—
126C2×C4⋊Dic11D411yescharacteristic
127C2×C4⋊Dic11D411yescharacteristic
128C2×C4⋊Dic11C2312yes—
129C2×C4⋊Dic11C2314yes—
130C2×C4×Dic11—22no—
131C2×C4×Dic11C2312yes—
132C2×#4318—24no—
133C2×#4318C2314yes—
134C22×C11⋊C8C2312yes—
135#66899C2318yescomplemented
136#66896C2318yescomplemented
137#66885C2318yes—
138#66885C2318yes—
139Dic11⋊C8C2318yescomplemented
140Dic11⋊C8C2318yescomplemented
141C2×#3045—111nomaximal, Sylow
142C24×C11—21no—
143C24×C11—21no—
144C24×C11C2×D411yescharacteristic
145C23×D11—22no—
146C23×D11—24no—
147C23×D11—44no—
148C23×D11—82no—
149C23×D11—82no—
150C11×#41—216no—
151C11×#41—28no—
152C11×#41—28no—
153C11×#41—28no—
154C11×#41—48no—
155C11×#41C2×D4116yescomplemented
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—22no—
159C2×Q8×C11—22no—
160C2×Q8×C11—22no—
161C2×Q8×C11C2×D414yes—
162C2×Q8×C11C2412yes—
163C2×Q8×C11C2412yes—
164C2×D4×C11—28no—
165C2×D4×C11—24no—
166C2×D4×C11—24no—
167C2×D4×C11—21no—
168C2×D4×C11—22no—
169C2×D4×C11—21no—
170C2×D4×C11—22no—
171C2×D4×C11—22no—
172C2×D4×C11—44no—
173C2×D4×C11C2×D414yes—
174C2×D4×C11C2412yes—
175C2×D4×C11C2412yes—
176C22×C4×C11—21no—
177C22×C4×C11—28no—
178C22×C4×C11—24no—
179C22×C4×C11—21no—
180C22×C4×C11—24no—
181C22×C4×C11—44no—
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2×D412yes—
184C22×C4×C11C2×D414yes—
185C22×C4×C11#4114yes—
186C22×C4×C11C2411yescharacteristic
187C22×C4×C11C2412yes—
188C2×C22⋊D11—28no—
189C2×C22⋊D11—28no—
190C2×C22⋊D11—84no—
191C2×C22⋊D11—84no—
192C22×Dic11—28no—
193C22×Dic11—22no—
194C22×Dic11—24no—
195C22×Dic11—82no—
196C22×Dic11—84no—
197C22×Dic11C2×D412yes—
198C22×Dic11C2×D412yes—
199C2×D44—24no—
200C2×D44—22no—
201C2×D44—24no—
202C2×D44—28no—
203C2×D44—24no—
204C2×D44—28no—
205C2×D44—44no—
206C2×D44—48no—
207C2×D44C2414yes—
208C11×Q16—28no—
209C11×SD16—28no—
210C11×SD16—28no—
211C11×D8—28no—
212C2×C8×C11—22no—
213C2×C8×C11—22no—
214C2×C8×C11—28no—
215C2×C8×C11C2412yes—
216C2×C8×C11C2412yes—
217C22⋊Dic11—28no—
218C22⋊Dic11C2×D418yes—
219#4325—216no—
220#4323—216no—
221(C2×D11)⋊C4—28no—
222(C2×D11)⋊C4—28no—
223C4⋊Dic11—28no—
224C4⋊Dic11—24no—
225C4⋊Dic11—22no—
226C4⋊Dic11C2×D414yes—
227C4⋊Dic11C2×D414yes—
228C4⋊Dic11C2414yes—
229C4×Dic11—28no—
230C4×Dic11C2×D414yes—
231C4×Dic11C2414yes—
232#4318—28no—
233C2×C11⋊C8—24no—
234C2×C11⋊C8C2414yes—
235C22×AGL(1,ℤ/8)—111no—
236C22×#135D1111yescharacteristic, complemented
237C2×#535—111no—
238C2×#520—111no—
239#3045—1116no—
240C2×#464—112no—
241C2×#460—112no—
242C2×#463—112no—
243C2×#459—112no—
244C2×#424—111no—
245C2×#417—111no—
246C22×#102—111no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—24no—
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11—42no—
257C23×C11#12114yes—
258C23×C11C22×D412yes—
259C23×C11C22×D411yescharacteristic
260C22×D11—24no—
261C22×D11—48no—
262C22×D11—44no—
263C22×D11—44no—
264C22×D11—44no—
265C22×D11—84no—
266C22×D11—84no—
267C22×D11—816no—
268Q8×C11—24no—
269Q8×C11—22no—
270Q8×C11—22no—
271Q8×C11—22no—
272Q8×C11—42no—
273Q8×C11C22×D414yes—
274D4×C11—216no—
275D4×C11—24no—
276D4×C11—22no—
277D4×C11—22no—
278D4×C11—22no—
279D4×C11—48no—
280D4×C11—42no—
281D4×C11C22×D414yes—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—216no—
285C2×C4×C11—22no—
286C2×C4×C11—42no—
287C2×C4×C11—48no—
288C2×C4×C11#12114yes—
289C2×C4×C11#12118yes—
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C22×D412yes—
292C2×C4×C11C22×D412yes—
293C2×C4×C11C22×D414yes—
294C2×C4×C11C2×#4112yes—
295C2×C4×C11C2×#4114yes—
296C2×C4×C11C2511yescharacteristic
297C22⋊D11—88no—
298C22⋊D11—88no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—44no—
303C2×Dic11—88no—
304C2×Dic11—84no—
305C2×Dic11C22×D414yes—
306C2×Dic11C22×D414yes—
307D44—24no—
308D44—24no—
309D44—48no—
310D44—44no—
311C8×C11—22no—
312C8×C11—22no—
313C11⋊C8—24no—
314C22×#41C2×D1111yescharacteristic
315C22×#41C2×D1111yescharacteristic
316C23×D4—111no—
317C2×AGL(1,ℤ/8)—118no—
318C2×AGL(1,ℤ/8)—228no—
319C2×#135—28no—
320C2×#135C2×D1118yescomplemented
321C22×Q16C2×D1111yescharacteristic, complemented
322C22×SD16—112no—
323C22×SD16C2×D1111yescharacteristic, complemented
324C22×SD16C2×D1111yescharacteristic, complemented
325C22×D8—112no—
326C22×D8C2×D1111yescharacteristic, complemented
327C22×M16—111no—
328C23×C8C2×D1111yescharacteristic
329#535—118no—
330#535—224no—
331C2×#127—112no—
332C2×#124—112no—
333C2×#121—221no—
334C2×#121—221no—
335C2×#120—222no—
336#520—118no—
337#520—224no—
338C2×C4×Q8—112no—
339C2×C4×D4—112no—
340C2×C4×D4—222no—
341C2×#117—111no—
342C2×#117—221no—
343C22×C4⋊C4—111no—
344C22×C4⋊C4—221no—
345#464—1116no—
346#463—1116no—
347#460—1116no—
348#459—1116no—
349#424—118no—
350C2×C4⋊C8—112no—
351C2×C4⋊C8—112no—
352#417—118no—
353C2×#103—112no—
354C2×#102—112no—
355C2×#102—112no—
356C2×#102—112no—
357C2×#102—118no—
358C22×C11—28no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—24no—
362C22×C11—48no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—84no—
369C22×C11C2×#12114yes—
370C22×C11C2×#12112yes—
371C22×C11#57612yes—
372C22×C11#57712yes—
373C22×C11C23×D411yescharacteristic
374C2×D11—44no—
375C2×D11—44no—
376C2×D11—44no—
377C2×D11—816no—
378C2×D11—88no—
379C4×C11—24no—
380C4×C11—42no—
381C4×C11C2×#12114yes—
382C4×C11C2×#12112yes—
383C4×C11C23×D411yescharacteristic
384C4×C11C22×#4111yescharacteristic
385Dic11—24no—
386Dic11—24no—
387Dic11—44no—
388C25—221no—
389C2×#41—22no—
390C2×#41—22no—
391C2×#41—24no—
392C2×#41—24no—
393C2×#41—24no—
394C2×#41C22⋊D1118yescomplemented
395C2×#41C22×D1114yes—
396C2×#41C22×D1114yes—
397C22×Q8C22×D1111yescharacteristic
398C22×Q8C22×D1111yescharacteristic
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—112no—
402C22×D4—114no—
403C22×D4—222no—
404C22×D4—222no—
405C22×D4—221no—
406C22×D4—222no—
407C22×D4—224no—
408C22×D4—224no—
409C22×D4C22×D1111yescharacteristic
410C22×D4C22×D1111yescharacteristic
411C23×C4—21no—
412C23×C4—21no—
413C23×C4—222no—
414C23×C4—221no—
415C23×C4C22×D1111yescharacteristic
416AGL(1,ℤ/8)—2232no—
417#135—232no—
418C2×Q16—24no—
419C2×Q16C22×D1114yescomplemented
420C2×SD16—24no—
421C2×SD16—24no—
422C2×SD16—118no—
423C2×SD16—228no—
424C2×SD16C22×D1114yescomplemented
425C2×SD16C22×D1114yescomplemented
426C2×D8—24no—
427C2×D8—118no—
428C2×D8—228no—
429C2×D8C22×D1114yescomplemented
430C2×M16—114no—
431C2×M16—224no—
432C22×C8—24no—
433C22×C8—112no—
434C22×C8C22×D1111yescharacteristic
435C22×C8C22×D1111yescharacteristic
436C22×C8C22×D1114yes—
437#127—118no—
438#127—224no—
439#124—118no—
440#124—224no—
441#121—228no—
442#121—228no—
443#120—2216no—
444C4×Q8—118no—
445C4×Q8—224no—
446C4×D4—118no—
447C4×D4—224no—
448C4×D4—2216no—
449#117—114no—
450#117—114no—
451#117—228no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—112no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—228no—
457C2×C4⋊C4—222no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—222no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—222no—
462C2×C22⋊C4—222no—
463C2×C22⋊C4—222no—
464C2×C42—112no—
465C2×C42—222no—
466C4⋊C8—118no—
467C4⋊C8—118no—
468#103—118no—
469#102—118no—
470#102—118no—
471#102—118no—
472C2×C11—24no—
473C2×C11—44no—
474C2×C11—82no—
475C2×C11#304514yescomplemented
476C2×C11C22×#12111yescharacteristic
477C2×C11C2×#57611yescharacteristic
478C2×C11C2×#57711yescharacteristic
479D11—84no—
480C24—21no—
481C24—21no—
482C24—222no—
483C24—224no—
484C24—444no—
485C24—882no—
486C24—882no—
487C24D4×D1111yescharacteristic
488#41—216no—
489#41—28no—
490#41—28no—
491#41—28no—
492#41—48no—
493#41C2×C22⋊D11116yescomplemented
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8C2×C22⋊D1114yes—
500C2×Q8C23×D1112yes—
501C2×Q8C23×D1112yes—
502C2×D4—28no—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—44no—
511C2×D4—114no—
512C2×D4—228no—
513C2×D4—228no—
514C2×D4—224no—
515C2×D4—222no—
516C2×D4—224no—
517C2×D4—228no—
518C2×D4—224no—
519C2×D4—228no—
520C2×D4—444no—
521C2×D4—448no—
522C2×D4—884no—
523C2×D4—884no—
524C2×D4C2×C22⋊D1114yes—
525C2×D4C23×D1112yes—
526C2×D4C23×D1112yes—
527C22×C4—21no—
528C22×C4—28no—
529C22×C4—24no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—44no—
533C22×C4—112no—
534C22×C4—112no—
535C22×C4—228no—
536C22×C4—222no—
537C22×C4—224no—
538C22×C4—884no—
539C22×C4—882no—
540C22×C4D4×D1112yes—
541C22×C4D4×D1111yescharacteristic
542C22×C4#434114yes—
543C22×C4C2×C22⋊D1114yes—
544C22×C4C23×D1112yes—
545C22×C4C23×D1111yescharacteristic
546Q16—28no—
547SD16—28no—
548SD16—28no—
549SD16—2216no—
550D8—28no—
551D8—2216no—
552M16—228no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—28no—
556C2×C8—114no—
557C2×C8—224no—
558C2×C8C23×D1112yes—
559C2×C8C23×D1112yes—
560C4⋊C4—114no—
561C4⋊C4—114no—
562C4⋊C4—114no—
563C4⋊C4—228no—
564C4⋊C4—224no—
565C4⋊C4—222no—
566C22⋊C4—118no—
567C22⋊C4—228no—
568C22⋊C4—228no—
569C22⋊C4—228no—
570C42—114no—
571C42—114no—
572C42—228no—
573C11C2×#304511yescharacteristic, complemented, Sylow
574C23—22no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—22no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—224no—
585C23—444no—
586C23—444no—
587C23—448no—
588C23—444no—
589C23—884no—
590C23—884no—
591C23—8816no—
592C23#6699214yes—
593C23C2×D4×D1112yes—
594C23C2×D4×D1111yescharacteristic
595Q8—24no—
596Q8—22no—
597Q8—22no—
598Q8—22no—
599Q8—42no—
600Q8C22×C22⋊D1114yes—
601D4—216no—
602D4—24no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—48no—
607D4—42no—
608D4—224no—
609D4—224no—
610D4—448no—
611D4—444no—
612D4—888no—
613D4—888no—
614D4C22×C22⋊D1114yes—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—216no—
618C2×C4—22no—
619C2×C4—42no—
620C2×C4—48no—
621C2×C4—114no—
622C2×C4—114no—
623C2×C4—224no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—444no—
627C2×C4—888no—
628C2×C4—884no—
629C2×C4#6699214yes—
630C2×C4#6699218yes—
631C2×C4C2×D4×D1111yescharacteristic
632C2×C4C2×D4×D1112yes—
633C2×C4C2×#434112yes—
634C2×C4C2×#434114yes—
635C2×C4C22×C22⋊D1112yes—
636C2×C4C22×C22⋊D1114yes—
637C2×C4C24×D1111yescharacteristic
638C8—22no—
639C8—22no—
640C8—224no—
641C22—28no—
642C22—22no—
643C22—22no—
644C22—24no—
645C22—48no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—84no—
652C22—444no—
653C22—444no—
654C22—444no—
655C22—8816no—
656C22—888no—
657C22#1062330012yes—
658C22#1062330112yes—
659C22C2×#6699214yes—
660C22C2×#6699212yes—
661C22C22×D4×D1111yescharacteristic
662C4—24no—
663C4—42no—
664C4—224no—
665C4—224no—
666C4—444no—
667C4C2×#6699214yes—
668C4C2×#6699212yes—
669C4C22×#434111yescharacteristic
670C4C23×C22⋊D1111yescharacteristic
671C2—24no—
672C2—44no—
673C2—82no—
674C2—884no—
675C2#1307815314yesdirect product factor
676C2C22×#6699211yescharacteristic
677C2C2×#1062330011yescharacteristic
678C2C2×#1062330111yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×#135C2
socleC23×C11C22×D4
hypercenterC22×#135D11
hypocenterC11C2×#3045
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#135

Complements

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

NH ≅ G/Ntype
1. C22×#67002C2semidirect
2. C2×#10623361C2semidirect
3. C2×#10623358C2semidirect
4. #13078153C2direct (N × H)
5. C2×#10622798C2semidirect
6. C2×#10622776C2semidirect
7. C2×#10622778C2semidirect
8. C2×#10622763C2semidirect
9. C2×#10622715C2semidirect
10. C2×#10622845C2semidirect
11. C22×#66885C2semidirect
12. C22×C11×#135C2semidirect
17. C2×C11×#135C22semidirect
18. C22×C11×Q16C22semidirect
19. C22×C11×SD16C22semidirect
20. C22×C11×SD16C22semidirect
21. C22×C11×D8C22semidirect
24. #10623361C22semidirect
26. #10623358C22semidirect
28. C2×#67002C22semidirect
30. C2×Q8×Dic11C22semidirect
35. C2×D4×Dic11C22semidirect
44. #10622845C22semidirect
45. C2×#66899C22semidirect
46. C2×#66896C22semidirect
47. #10622798C22semidirect
48. #10622778C22semidirect
49. #10622776C22semidirect
50. #10622763C22semidirect
53. C2×#66885C22semidirect
54. #10622715C22semidirect
55. C2×Dic11⋊C8C22semidirect
56. C2×Dic11⋊C8C22semidirect
63. C2×C11×#41D4semidirect
87. C2×C11×Q16C23semidirect
90. C2×C11×SD16C23semidirect
91. C2×C11×SD16C23semidirect
93. C2×C11×D8C23semidirect
104. Q8×Dic11C23semidirect
112. D4×Dic11C23semidirect
135. #66899C23semidirect
136. #66896C23semidirect
139. Dic11⋊C8C23semidirect
140. Dic11⋊C8C23semidirect
155. C11×#41C2×D4semidirect
236. C22×#135D11semidirect
320. C2×#135C2×D11semidirect
321. C22×Q16C2×D11semidirect
323. C22×SD16C2×D11semidirect
324. C22×SD16C2×D11semidirect
326. C22×D8C2×D11semidirect
394. C2×#41C22⋊D11semidirect
419. C2×Q16C22×D11semidirect
424. C2×SD16C22×D11semidirect
425. C2×SD16C22×D11semidirect
429. C2×D8C22×D11semidirect
475. C2×C11#3045semidirect
493. #41C2×C22⋊D11semidirect
573. C11C2×#3045semidirect
675. C2#13078153direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670022
C2×#106233612
C2×#106233582
#130781532
C2×#106227982
C2×#106227762
C2×#106227782
C2×#106227632
C2×#106227152
C2×#106228452
C22×#668852
C22×C11×#1352
C2×#304511