Finite Group Databasebeta

← C2×#13078240 #15620925

Subgroups — C2×#13078240 #15620925

Order 2816.

2898 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D11C211yesmaximal, characteristic, complemented
2C2×#10623359C211yesmaximal, characteristic
3C22×#66999C211yesmaximal, characteristic, complemented
4#13078240C2116yesmaximal, direct product factor
5C2×#10622802C212yesmaximal, complemented
6C2×#10622787C212yesmaximal, complemented
7C2×#10622801C212yesmaximal, complemented
8C2×#10622784C212yesmaximal, complemented
9C2×#10622734C211yesmaximal, characteristic, complemented
10C2×#10622845C211yesmaximal, characteristic, complemented
11C2×#10622838C211yesmaximal, characteristic, complemented
12C22×C11×#137C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic
14C23×Q8×C11C2211yescharacteristic
15C23×C4×D11C2211yescharacteristic
16C2×C11×#137—28no—
17C2×C11×#137C2218yescomplemented
18C22×C11×Q16C2212yescomplemented
19C22×C11×SD16C2212yescomplemented
20C22×C11×M16C2211yescharacteristic
21#10623359—24no—
22#10623359C2218yes—
23C2×#66999—21no—
24C2×#66999—21no—
25C2×#66999—24no—
26C2×#66999C2212yes—
27C2×#66999C2211yescharacteristic
28C2×#66999C2212yes—
29C2×#66999C2211yescharacteristic
30C2×#66999C2218yescomplemented
31C2×#66991C2211yescharacteristic
32C2×#66991C2211yescharacteristic
33C2×#66990—21no—
34C2×#66988—21no—
35C2×C4×C22⋊D11—21no—
36C2×C4×C22⋊D11—21no—
37C22×(C2×D11)⋊C4—21no—
38C2×#66979C2211yescharacteristic
39C22×C4⋊Dic11C2211yescharacteristic
40C22×Dic11⋊C4—21no—
41C22×#4318C2211yescharacteristic
42C2×M16×D11—28no—
43C2×M16×D11C2218yescomplemented
44C22×#4313C2212yes—
45C22×C8×D11C2212yes—
46#10622845C2218yescomplemented
47#10622838C2218yescomplemented
48C2×#66899C2212yescomplemented
49C2×#66899C2212yescomplemented
50C2×#66899C2212yescomplemented
51C2×#66896C2212yescomplemented
52#10622802C22116yescomplemented
53#10622801C22116yescomplemented
54#10622787C22116yescomplemented
55#10622784C22116yescomplemented
56#10622734C2218yescomplemented
57C2×#66882C2212yescomplemented
58C2×#66881C2212yescomplemented
59C24×D11D411yescharacteristic
60C2×C11×#41—22no—
61C2×C11×#41—24no—
62C2×C11×#41—24no—
63C2×C11×#41C2314yes—
64C22×Q8×C11—21no—
65C22×Q8×C11—22no—
66C22×Q8×C11—24no—
67C22×Q8×C11—24no—
68C22×Q8×C11C2312yes—
69C22×Q8×C11C2311yescharacteristic
70C22×Q8×C11C2314yes—
71C22×D4×C11—21no—
72C22×D4×C11C2311yescharacteristic
73C23×C4×C11—21no—
74C23×C4×C11—21no—
75C23×C4×C11C2311yescharacteristic
76C22×C22⋊D11—21no—
77C22×C22⋊D11—21no—
78C23×Dic11—21no—
79C23×Dic11D411yescharacteristic
80C22×C4×D11—24no—
81C22×C4×D11—24no—
82C22×C4×D11D411yescharacteristic
83C22×C4×D11D411yescharacteristic
84C22×C4×D11D414yes—
85C22×C4×D11C2311yescharacteristic
86C22×C4×D11C2311yescharacteristic
87C22×C4×D11C2314yes—
88C11×#137—232no—
89C2×C11×Q16—28no—
90C2×C11×Q16C2318yescomplemented
91C2×C11×SD16—28no—
92C2×C11×SD16C2318yescomplemented
93C2×C11×M16D418yescomplemented
94C2×C11×M16C2314yes—
95C22×C8×C11C2312yes—
96C2×C22⋊Dic11—21no—
97C2×C22⋊Dic11—21no—
98C2×C22⋊Dic11—21no—
99#66999—24no—
100#66999—24no—
101#66999—28no—
102#66999—28no—
103#66999—22no—
104#66999—22no—
105#66999C2318yes—
106#66999C2318yes—
107#66999C2314yes—
108#66999C2314yes—
109#66991—22no—
110#66991—22no—
111#66991C2314yes—
112#66991C2314yes—
113#66990—28no—
114#66988—28no—
115C4×C22⋊D11—28no—
116C4×C22⋊D11—28no—
117C2×(C2×D11)⋊C4—22no—
118C2×(C2×D11)⋊C4—22no—
119C2×(C2×D11)⋊C4—28no—
120C2×(C2×D11)⋊C4—21no—
121C2×(C2×D11)⋊C4—21no—
122#66979—22no—
123#66979C2314yes—
124C2×C4⋊Dic11—21no—
125C2×C4⋊Dic11—22no—
126C2×C4⋊Dic11C2314yes—
127C2×C4⋊Dic11C2312yes—
128C2×C4⋊Dic11C2311yescharacteristic
129C2×C4⋊Dic11C2311yescharacteristic
130C2×Dic11⋊C4—22no—
131C2×Dic11⋊C4—22no—
132C2×Dic11⋊C4—28no—
133C2×Dic11⋊C4—21no—
134C2×Dic11⋊C4—21no—
135C2×C4×Dic11—21no—
136C2×#4318—24no—
137C2×#4318C2314yes—
138C22×C11⋊C8C2312yes—
139M16×D11—232no—
140C2×#4313—28no—
141C2×#4313C2318yes—
142C2×C8×D11—28no—
143C2×C8×D11C2318yes—
144#66899C2318yescomplemented
145#66899C2318yescomplemented
146#66899C2318yescomplemented
147#66896C2318yescomplemented
148#66882C2318yescomplemented
149#66881C2318yescomplemented
150C2×#3056—111nomaximal, Sylow
151C24×C11—21no—
152C24×C11C2×D411yescharacteristic
153C23×D11—24no—
154C23×D11—24no—
155C23×D11—42no—
156C23×D11C2×D411yescharacteristic
157C23×D11C2×D414yes—
158C23×D11C2×D411yescharacteristic
159C11×#41—28no—
160C11×#41—28no—
161C11×#41—48no—
162C2×Q8×C11—24no—
163C2×Q8×C11—22no—
164C2×Q8×C11—21no—
165C2×Q8×C11—24no—
166C2×Q8×C11—22no—
167C2×Q8×C11—28no—
168C2×Q8×C11—24no—
169C2×Q8×C11—28no—
170C2×Q8×C11—22no—
171C2×Q8×C11—44no—
172C2×Q8×C11—48no—
173C2×Q8×C11C2414yes—
174C2×Q8×C11C2412yes—
175C2×D4×C11—24no—
176C2×D4×C11—22no—
177C2×D4×C11—21no—
178C2×D4×C11—22no—
179C2×D4×C11—44no—
180C2×D4×C11C2412yes—
181C22×C4×C11—21no—
182C22×C4×C11—24no—
183C22×C4×C11—22no—
184C22×C4×C11—24no—
185C22×C4×C11—44no—
186C22×C4×C11—44no—
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D414yes—
190C22×C4×C11#4114yes—
191C22×C4×C11C2411yescharacteristic
192C22×C4×C11C2412yes—
193C2×C22⋊D11—24no—
194C2×C22⋊D11—24no—
195C2×C22⋊D11—44no—
196C2×C22⋊D11—44no—
197C22×Dic11—24no—
198C22×Dic11—21no—
199C22×Dic11—21no—
200C22×Dic11—24no—
201C22×Dic11—22no—
202C22×Dic11—44no—
203C22×Dic11C2×D411yescharacteristic
204C22×Dic11C2×D411yescharacteristic
205C22×Dic11C2×D414yes—
206C2×C4×D11—24no—
207C2×C4×D11—24no—
208C2×C4×D11—216no—
209C2×C4×D11—22no—
210C2×C4×D11—22no—
211C2×C4×D11—28no—
212C2×C4×D11—22no—
213C2×C4×D11—22no—
214C2×C4×D11—28no—
215C2×C4×D11C2×D414yes—
216C2×C4×D11C2×D414yes—
217C2×C4×D11C2×D412yes—
218C2×C4×D11C2×D412yes—
219C2×C4×D11C2412yes—
220C2×C4×D11C2412yes—
221C11×Q16—216no—
222C11×SD16—216no—
223C11×M16C2×D4116yescomplemented
224C2×C8×C11C2×D418yes—
225C2×C8×C11C2414yes—
226C22⋊Dic11—24no—
227C22⋊Dic11—24no—
228C22⋊Dic11—24no—
229(C2×D11)⋊C4—28no—
230(C2×D11)⋊C4—28no—
231(C2×D11)⋊C4—24no—
232(C2×D11)⋊C4—24no—
233C4⋊Dic11—24no—
234C4⋊Dic11—22no—
235C4⋊Dic11—21no—
236C4⋊Dic11—21no—
237C4⋊Dic11C2412yes—
238C4⋊Dic11C2414yes—
239C4⋊Dic11C2412yes—
240Dic11⋊C4—28no—
241Dic11⋊C4—28no—
242Dic11⋊C4—24no—
243Dic11⋊C4—24no—
244C4×Dic11—24no—
245#4318—28no—
246C2×C11⋊C8—24no—
247C2×C11⋊C8C2414yes—
248#4313—216no—
249C8×D11—216no—
250C22×#137D1111yescharacteristic, complemented
251C23×M16—111no—
252C2×#525—111no—
253C22×C22⋊Q8—111no—
254#3056—1116no—
255C2×#470—112no—
256C2×#468—112no—
257C2×#467—112no—
258C2×#465—112no—
259C2×#428—111no—
260C2×#417—111no—
261C2×#419—111no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—42no—
266C23×C11—42no—
267C23×C11—42no—
268C23×C11#12114yes—
269C23×C11C22×D412yes—
270C23×C11C22×D411yescharacteristic
271C22×D11—22no—
272C22×D11—22no—
273C22×D11—28no—
274C22×D11—22no—
275C22×D11—22no—
276C22×D11—22no—
277C22×D11—28no—
278C22×D11—44no—
279C22×D11—416no—
280C22×D11#13714yescomplemented
281C22×D11C22×D412yes—
282C22×D11C22×D412yes—
283Q8×C11—24no—
284Q8×C11—22no—
285Q8×C11—24no—
286Q8×C11—22no—
287Q8×C11—48no—
288Q8×C11—44no—
289Q8×C11—42no—
290D4×C11—22no—
291D4×C11—22no—
292D4×C11—48no—
293D4×C11—42no—
294C2×C4×C11—22no—
295C2×C4×C11—24no—
296C2×C4×C11—42no—
297C2×C4×C11—48no—
298C2×C4×C11—44no—
299C2×C4×C11—48no—
300C2×C4×C11#12114yes—
301C2×C4×C11#12118yes—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C22×D412yes—
305C2×C4×C11C22×D414yes—
306C2×C4×C11C2×#4112yes—
307C2×C4×C11C2×#4114yes—
308C2×C4×C11C2511yescharacteristic
309C22⋊D11—48no—
310C22⋊D11—48no—
311C2×Dic11—28no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—24no—
317C2×Dic11—48no—
318C2×Dic11—42no—
319C2×Dic11—44no—
320C2×Dic11—42no—
321C2×Dic11C22×D412yes—
322C2×Dic11C22×D412yes—
323C4×D11—28no—
324C4×D11—28no—
325C4×D11—24no—
326C4×D11—24no—
327C4×D11—22no—
328C4×D11—22no—
329C4×D11—22no—
330C4×D11—22no—
331C8×C11C22×D418yes—
332C11⋊C8—24no—
333C22×#41C2×D1111yescharacteristic
334C23×Q8C2×D1111yescharacteristic
335C24×C4—111no—
336C2×#137—28no—
337C2×#137C2×D1118yescomplemented
338C22×Q16C2×D1112yescomplemented
339C22×SD16C2×D1112yescomplemented
340C22×M16—111no—
341C22×M16—118no—
342C22×M16—112no—
343C22×M16—228no—
344C22×M16C2×D1111yescharacteristic
345C23×C8—112no—
346#525—118no—
347#525—224no—
348C2×#123—221no—
349C2×C22⋊Q8—112no—
350C2×C22⋊Q8—112no—
351C2×C22⋊Q8—118no—
352C2×C22⋊Q8—111no—
353C2×C22⋊Q8—111no—
354C2×C22⋊Q8—221no—
355C2×C22⋊Q8—221no—
356C2×C22⋊Q8—224no—
357C2×#121—111no—
358C2×#121—111no—
359C2×#120—221no—
360C2×C4×D4—221no—
361C2×C4×D4—221no—
362C2×#117—111no—
363C22×C4⋊C4—111no—
364C22×C4⋊C4—221no—
365C22×C22⋊C4—221no—
366#470—1116no—
367#468—1116no—
368#467—1116no—
369#465—1116no—
370#428—118no—
371C2×#107—112no—
372C2×#106—112no—
373#419—118no—
374#417—118no—
375C2×#103—112no—
376C2×#103—112no—
377C2×#103—112no—
378C2×#102—112no—
379C22×C11—28no—
380C22×C11—22no—
381C22×C11—22no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—84no—
386C22×C11C2×#12114yes—
387C22×C11C2×#12112yes—
388C22×C11C2×#13712yes—
389C22×C11#57512yes—
390C22×C11C23×D411yescharacteristic
391C2×D11—22no—
392C2×D11—28no—
393C2×D11—22no—
394C2×D11—22no—
395C2×D11—22no—
396C2×D11—22no—
397C2×D11—416no—
398C2×D11—44no—
399C2×D11C2×#13714yescomplemented
400C4×C11—42no—
401C4×C11—44no—
402C4×C11C2×#12114yes—
403C4×C11C2×#12112yes—
404C4×C11C23×D411yescharacteristic
405C4×C11C22×#4111yescharacteristic
406Dic11—22no—
407Dic11—22no—
408Dic11—42no—
409Dic11—44no—
410Dic11—42no—
411C25—111no—
412C2×#41—22no—
413C2×#41—24no—
414C2×#41—24no—
415C2×#41C22×D1114yes—
416C22×Q8—22no—
417C22×Q8—21no—
418C22×Q8—24no—
419C22×Q8—24no—
420C22×Q8C22×D1112yes—
421C22×Q8C22×D1111yescharacteristic
422C22×Q8C22×D1114yes—
423C22×D4—21no—
424C22×D4—221no—
425C22×D4—221no—
426C22×D4C22×D1111yescharacteristic
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—111no—
430C23×C4—111no—
431C23×C4—111no—
432C23×C4—114no—
433C23×C4—111no—
434C23×C4—111no—
435C23×C4—114no—
436C23×C4—224no—
437C23×C4—224no—
438C23×C4—221no—
439C23×C4C22×D1111yescharacteristic
440#137—232no—
441C2×Q16—28no—
442C2×Q16C22×D1118yescomplemented
443C2×SD16—28no—
444C2×SD16C22×D1118yescomplemented
445C2×M16—114no—
446C2×M16—118no—
447C2×M16—224no—
448C2×M16—2232no—
449C2×M16—228no—
450C2×M16C22⋊D1118yescomplemented
451C2×M16C22×D1114yes—
452C22×C8—112no—
453C22×C8—118no—
454C22×C8—228no—
455C22×C8C22×D1112yes—
456#123—228no—
457C22⋊Q8—118no—
458C22⋊Q8—118no—
459C22⋊Q8—114no—
460C22⋊Q8—114no—
461C22⋊Q8—228no—
462C22⋊Q8—228no—
463C22⋊Q8—224no—
464C22⋊Q8—224no—
465C22⋊Q8—222no—
466C22⋊Q8—222no—
467#121—114no—
468#121—114no—
469#121—222no—
470#121—222no—
471#120—228no—
472C4×D4—228no—
473C4×D4—228no—
474#117—114no—
475#117—222no—
476C2×C4⋊C4—112no—
477C2×C4⋊C4—114no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—111no—
480C2×C4⋊C4—228no—
481C2×C4⋊C4—222no—
482C2×C4⋊C4—222no—
483C2×C4⋊C4—221no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—222no—
486C2×C4⋊C4—221no—
487C2×C22⋊C4—228no—
488C2×C22⋊C4—222no—
489C2×C22⋊C4—222no—
490C2×C22⋊C4—221no—
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493C2×C22⋊C4—221no—
494C2×C22⋊C4—221no—
495C2×C42—221no—
496#107—118no—
497#106—118no—
498#103—118no—
499#103—118no—
500#103—118no—
501#102—118no—
502C2×C11—24no—
503C2×C11—82no—
504C2×C11#305614yescomplemented
505C2×C11C22×#12111yescharacteristic
506C2×C11C22×#13711yescharacteristic
507C2×C11C2×#57511yescharacteristic
508D11—24no—
509D11—42no—
510C24—21no—
511C24—111no—
512C24—111no—
513C24—114no—
514C24—224no—
515C24—224no—
516C24—442no—
517C24D4×D1111yescharacteristic
518#41—28no—
519#41—28no—
520#41—48no—
521C2×Q8—24no—
522C2×Q8—22no—
523C2×Q8—21no—
524C2×Q8—24no—
525C2×Q8—28no—
526C2×Q8—22no—
527C2×Q8—24no—
528C2×Q8—22no—
529C2×Q8—28no—
530C2×Q8—44no—
531C2×Q8—48no—
532C2×Q8C23×D1114yes—
533C2×Q8C23×D1112yes—
534C2×D4—24no—
535C2×D4—21no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—44no—
539C2×D4—224no—
540C2×D4—224no—
541C2×D4—444no—
542C2×D4—444no—
543C2×D4C23×D1112yes—
544C22×C4—24no—
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—24no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—114no—
551C22×C4—111no—
552C22×C4—111no—
553C22×C4—114no—
554C22×C4—114no—
555C22×C4—112no—
556C22×C4—112no—
557C22×C4—112no—
558C22×C4—112no—
559C22×C4—224no—
560C22×C4—224no—
561C22×C4—224no—
562C22×C4—2216no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—228no—
566C22×C4—222no—
567C22×C4—228no—
568C22×C4—222no—
569C22×C4—224no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—222no—
573C22×C4—444no—
574C22×C4D4×D1112yes—
575C22×C4D4×D1111yescharacteristic
576C22×C4#434114yes—
577C22×C4C2×C22⋊D1114yes—
578C22×C4C23×D1112yes—
579C22×C4C23×D1111yescharacteristic
580Q16—216no—
581SD16—216no—
582M16—228no—
583M16—2216no—
584M16C2×C22⋊D11116yescomplemented
585C2×C8—114no—
586C2×C8—224no—
587C2×C8—2216no—
588C2×C8C2×C22⋊D1118yes—
589C2×C8C23×D1114yes—
590C4⋊C4—114no—
591C4⋊C4—112no—
592C4⋊C4—112no—
593C4⋊C4—228no—
594C4⋊C4—228no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—222no—
599C4⋊C4—221no—
600C4⋊C4—221no—
601C22⋊C4—228no—
602C22⋊C4—228no—
603C22⋊C4—224no—
604C22⋊C4—224no—
605C22⋊C4—224no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C42—224no—
609C11C2×#305611yescharacteristic, complemented, Sylow
610C23—22no—
611C23—22no—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—114no—
617C23—112no—
618C23—112no—
619C23—228no—
620C23—222no—
621C23—222no—
622C23—222no—
623C23—222no—
624C23—228no—
625C23—222no—
626C23—444no—
627C23—4416no—
628C23#6699114yes—
629C23C2×D4×D1112yes—
630C23C2×D4×D1111yescharacteristic
631Q8—24no—
632Q8—22no—
633Q8—24no—
634Q8—22no—
635Q8—48no—
636Q8—44no—
637Q8—42no—
638D4—22no—
639D4—22no—
640D4—48no—
641D4—42no—
642D4—448no—
643D4—448no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—42no—
647C2×C4—48no—
648C2×C4—44no—
649C2×C4—48no—
650C2×C4—112no—
651C2×C4—112no—
652C2×C4—228no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—228no—
656C2×C4—228no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—224no—
666C2×C4—448no—
667C2×C4—442no—
668C2×C4—444no—
669C2×C4—442no—
670C2×C4#6699114yes—
671C2×C4#6699118yes—
672C2×C4C2×D4×D1112yes—
673C2×C4C2×D4×D1111yescharacteristic
674C2×C4C2×#434112yes—
675C2×C4C2×#434114yes—
676C2×C4C22×C22⋊D1112yes—
677C2×C4C22×C22⋊D1114yes—
678C2×C4C24×D1111yescharacteristic
679C8—224no—
680C8C22×C22⋊D1118yes—
681C22—22no—
682C22—28no—
683C22—22no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—84no—
688C22—114no—
689C22—228no—
690C22—222no—
691C22—222no—
692C22—222no—
693C22—222no—
694C22—222no—
695C22—4416no—
696C22—444no—
697C22D11×#13712yes—
698C22#1062330812yes—
699C22C2×#6699114yes—
700C22C2×#6699112yes—
701C22C22×D4×D1111yescharacteristic
702C4—42no—
703C4—44no—
704C4—222no—
705C4—222no—
706C4—442no—
707C4—444no—
708C4—442no—
709C4C2×#6699114yes—
710C4C2×#6699112yes—
711C4C22×#434111yescharacteristic
712C4C23×C22⋊D1111yescharacteristic
713C2—24no—
714C2—82no—
715C2—224no—
716C2—442no—
717C2#1307824014yesdirect product factor
718C2C22×#6699111yescharacteristic
719C2C2×D11×#13711yescharacteristic
720C2C2×#1062330811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×#137C2
socleC23×C11C22×D4
prime radicalC2×#10623359C2
hypercenterC22×#137D11
hypocenterC11C2×#3056
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#137

Complements

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

NH ≅ G/Ntype
1. C22×M16×D11C2semidirect
3. C22×#66999C2semidirect
4. #13078240C2direct (N × H)
5. C2×#10622802C2semidirect
6. C2×#10622787C2semidirect
7. C2×#10622801C2semidirect
8. C2×#10622784C2semidirect
9. C2×#10622734C2semidirect
10. C2×#10622845C2semidirect
11. C2×#10622838C2semidirect
12. C22×C11×#137C2semidirect
17. C2×C11×#137C22semidirect
18. C22×C11×Q16C22semidirect
19. C22×C11×SD16C22semidirect
30. C2×#66999C22semidirect
43. C2×M16×D11C22semidirect
46. #10622845C22semidirect
47. #10622838C22semidirect
48. C2×#66899C22semidirect
49. C2×#66899C22semidirect
50. C2×#66899C22semidirect
51. C2×#66896C22semidirect
52. #10622802C22semidirect
53. #10622801C22semidirect
54. #10622787C22semidirect
55. #10622784C22semidirect
56. #10622734C22semidirect
57. C2×#66882C22semidirect
58. C2×#66881C22semidirect
90. C2×C11×Q16C23semidirect
92. C2×C11×SD16C23semidirect
93. C2×C11×M16D4semidirect
144. #66899C23semidirect
145. #66899C23semidirect
146. #66899C23semidirect
147. #66896C23semidirect
148. #66882C23semidirect
149. #66881C23semidirect
223. C11×M16C2×D4semidirect
250. C22×#137D11semidirect
280. C22×D11#137semidirect
337. C2×#137C2×D11semidirect
338. C22×Q16C2×D11semidirect
339. C22×SD16C2×D11semidirect
399. C2×D11C2×#137semidirect
442. C2×Q16C22×D11semidirect
444. C2×SD16C22×D11semidirect
450. C2×M16C22⋊D11semidirect
504. C2×C11#3056semidirect
584. M16C2×C22⋊D11semidirect
609. C11C2×#3056semidirect
717. C2#13078240direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D112
C2×#106233592
C22×#669992
#130782402
C2×#106228022
C2×#106227872
C2×#106228012
C2×#106227842
C2×#106227342
C2×#106228452
C2×#106228382
C22×C11×#1372
C2×#305611