Finite Group Databasebeta

← C2×#13078236 #15620920

Subgroups — C2×#13078236 #15620920

Order 2816.

3242 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66961C211yesmaximal, characteristic, complemented
2C22×M16×D11C211yesmaximal, characteristic, complemented
3C2×#10623055C211yesmaximal, characteristic, complemented
4C22×#66948C211yesmaximal, characteristic, complemented
5#13078236C2116yesmaximal, direct product factor
6C2×#10622478C212yesmaximal, complemented
7C2×#10622499C212yesmaximal, complemented
8C2×#10622496C212yesmaximal, complemented
9C2×#10622477C212yesmaximal, complemented
10C2×#10622579C211yesmaximal, characteristic, complemented
11C2×#10622614C211yesmaximal, characteristic, complemented
12C2×C11×#428C211yesmaximal, characteristic, complemented
13C22×#4339C2211yescharacteristic
14C23×D44—21no—
15C23×D44C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×(C2×D11)⋊C4—21no—
21C22×#4318C2211yescharacteristic
22C2×#66961—28no—
23C2×#66961C2218yescomplemented
24C2×M16×D11—28no—
25C2×M16×D11C2218yescomplemented
26C22×D88C2212yescomplemented
27C22×#4314C2212yescomplemented
28C22×#4313C2212yescomplemented
29C22×C8×D11C2212yescomplemented
30#10623055—24no—
31#10623055C2218yescomplemented
32C2×#66950C2211yescharacteristic, complemented
33C2×#66950C2211yescharacteristic, complemented
34C2×#66948—24no—
35C2×#66948—21no—
36C2×#66948—21no—
37C2×#66948C2212yes—
38C2×#66948C2212yes—
39C2×#66948C2218yescomplemented
40C2×#66948C2211yescharacteristic, complemented
41C2×#66948C2211yescharacteristic, complemented
42C2×#66939—21no—
43C2×#66935—21no—
44C2×C4×D44—21no—
45C2×C4×D44—21no—
46C11×#428C2218yescomplemented
47C2×C11×#107C2212yescomplemented
48C2×C11×#106C2212yescomplemented
49#10622614C2218yescomplemented
50C2×#66874C2212yescomplemented
51#10622579C2218yescomplemented
52C2×#66873C2212yescomplemented
53C2×#66873C2212yescomplemented
54C2×#66873C2212yescomplemented
55#10622499C22116yescomplemented
56#10622496C22116yescomplemented
57#10622478C22116yescomplemented
58#10622477C22116yescomplemented
59C24×D11—21no—
60C24×D11D411yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C23×Dic11D411yescharacteristic
65C2×#4339—22no—
66C2×#4339—24no—
67C2×#4339—24no—
68C2×#4339C2314yes—
69C22×D44—24no—
70C22×D44—24no—
71C22×D44—21no—
72C22×D44—21no—
73C22×D44—22no—
74C22×D44—22no—
75C22×D44—28no—
76C22×D44—21no—
77C22×D44—22no—
78C22×D44—48no—
79C22×D44C2312yes—
80C22×D44C2311yescharacteristic
81C22×D44C2314yes—
82C22×C4×D11—24no—
83C22×C4×D11—24no—
84C22×C4×D11—21no—
85C22×C4×D11D411yescharacteristic
86C22×C4×D11D411yescharacteristic
87C22×C4×D11D414yes—
88C22×C4×D11C2311yescharacteristic
89C22×C4×D11C2311yescharacteristic
90C22×C4×D11C2314yes—
91C22×Dic22C2311yescharacteristic
92C2×C11×M16D418yescomplemented
93C2×C11×M16C2314yes—
94C22×C8×C11C2312yes—
95C11×#117—22no—
96C11×#117C2314yes—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4—22no—
99C2×C11×C4⋊C4C2312yes—
100C2×C11×C4⋊C4C2314yes—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2311yescharacteristic
103C2×C11×C22⋊C4—21no—
104C2×C42×C11—21no—
105C2×(C2×D11)⋊C4—21no—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—22no—
110C2×(C2×D11)⋊C4—22no—
111C2×(C2×D11)⋊C4—28no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11—21no—
114C2×#4318—24no—
115C2×#4318C2314yes—
116C22×C11⋊C8C2312yes—
117#66961—232no—
118M16×D11—232no—
119C2×D88—28no—
120C2×D88C2318yescomplemented
121C2×#4314—28no—
122C2×#4314C2318yescomplemented
123C2×#4313—28no—
124C2×#4313C2318yescomplemented
125C2×C8×D11—28no—
126C2×C8×D11C2318yescomplemented
127#66950—22no—
128#66950—22no—
129#66950C2314yescomplemented
130#66950C2314yescomplemented
131#66948—24no—
132#66948—24no—
133#66948—28no—
134#66948—28no—
135#66948—22no—
136#66948—22no—
137#66948C2318yes—
138#66948C2318yes—
139#66948C2314yescomplemented
140#66948C2314yescomplemented
141#66939—28no—
142#66935—28no—
143C4×D44—28no—
144C4×D44—28no—
145C11×#107C2318yescomplemented
146C11×#106C2318yescomplemented
147#66874C2318yescomplemented
148#66873C2318yescomplemented
149#66873C2318yescomplemented
150#66873C2318yescomplemented
151C2×#3055—111nomaximal, Sylow
152C24×C11C2×D411yescharacteristic
153C23×D11—24no—
154C23×D11—24no—
155C23×D11—21no—
156C23×D11—24no—
157C23×D11—22no—
158C23×D11—42no—
159C23×D11—44no—
160C23×D11—44no—
161C23×D11—44no—
162C23×D11C2×D411yescharacteristic
163C23×D11C2×D414yes—
164C23×D11C2×D411yescharacteristic
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—24no—
168C22×C4×C11—22no—
169C22×C4×C11—44no—
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D412yes—
172C22×C4×C11C2×D414yes—
173C22×C4×C11#4114yes—
174C22×C4×C11C2411yescharacteristic
175C22×C4×C11C2412yes—
176C2×C22⋊D11—24no—
177C2×C22⋊D11—44no—
178C22×Dic11—24no—
179C22×Dic11—21no—
180C22×Dic11C2×D414yes—
181C22×Dic11C2×D411yescharacteristic
182C22×Dic11C2×D411yescharacteristic
183#4339—28no—
184#4339—28no—
185#4339—48no—
186C2×D44—24no—
187C2×D44—24no—
188C2×D44—28no—
189C2×D44—28no—
190C2×D44—24no—
191C2×D44—22no—
192C2×D44—21no—
193C2×D44—24no—
194C2×D44—22no—
195C2×D44—28no—
196C2×D44—24no—
197C2×D44—28no—
198C2×D44—22no—
199C2×D44—44no—
200C2×D44—432no—
201C2×D44—48no—
202C2×D44—44no—
203C2×D44—48no—
204C2×D44—44no—
205C2×D44—48no—
206C2×D44C2414yes—
207C2×D44C2412yes—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—216no—
211C2×C4×D11—22no—
212C2×C4×D11—22no—
213C2×C4×D11—28no—
214C2×C4×D11—24no—
215C2×C4×D11—22no—
216C2×C4×D11—22no—
217C2×C4×D11—28no—
218C2×C4×D11—44no—
219C2×C4×D11C2×D414yes—
220C2×C4×D11C2×D414yes—
221C2×C4×D11C2×D412yes—
222C2×C4×D11C2×D412yes—
223C2×C4×D11C2412yes—
224C2×C4×D11C2412yes—
225C2×Dic22—22no—
226C2×Dic22—21no—
227C2×Dic22—22no—
228C2×Dic22C2412yes—
229C11×M16C2×D4116yescomplemented
230C2×C8×C11C2×D418yescomplemented
231C2×C8×C11C2414yes—
232C11×C4⋊C4—24no—
233C11×C4⋊C4—22no—
234C11×C4⋊C4—21no—
235C11×C4⋊C4—21no—
236C11×C4⋊C4C2412yes—
237C11×C4⋊C4C2412yes—
238C11×C4⋊C4C2414yes—
239C11×C22⋊C4—24no—
240C42×C11—24no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4—28no—
244(C2×D11)⋊C4—28no—
245(C2×D11)⋊C4—24no—
246(C2×D11)⋊C4—24no—
247C4⋊Dic11—24no—
248C4⋊Dic11—24no—
249#4318—28no—
250C2×C11⋊C8—24no—
251C2×C11⋊C8C2414yes—
252D88—216no—
253#4314—216no—
254#4313—216no—
255C8×D11—216no—
256C22×AGL(1,ℤ/8)—111no—
257C23×M16—111no—
258C2×#525—111no—
259C22×#121—111no—
260#3055—1116no—
261C2×#469—112no—
262C2×#468—112no—
263C2×#466—112no—
264C2×#465—112no—
265C2×#428D1111yescharacteristic, complemented
266C2×#417—111no—
267C2×#418—111no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11#12114yes—
271C23×C11C22×D412yes—
272C23×C11C22×D411yescharacteristic
273C22×D11—22no—
274C22×D11—22no—
275C22×D11—28no—
276C22×D11—22no—
277C22×D11—22no—
278C22×D11—22no—
279C22×D11—28no—
280C22×D11—22no—
281C22×D11—24no—
282C22×D11—44no—
283C22×D11—416no—
284C22×D11—48no—
285C22×D11—48no—
286C22×D11—42no—
287C22×D11—48no—
288C22×D11—44no—
289C22×D11—44no—
290C22×D11—42no—
291C22×D11—42no—
292C22×D11—44no—
293C22×D11—816no—
294C22×D11AGL(1,ℤ/8)14yescomplemented
295C22×D11C22×D412yes—
296C22×D11C22×D412yes—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—24no—
300C2×C4×C11—48no—
301C2×C4×C11—44no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11#12114yes—
305C2×C4×C11#12118yes—
306C2×C4×C11C22×D412yes—
307C2×C4×C11C22×D414yes—
308C2×C4×C11C22×D412yes—
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11C2×#4112yes—
311C2×C4×C11C2×#4114yes—
312C2×C4×C11C2511yescharacteristic
313C22⋊D11—48no—
314C2×Dic11—28no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—42no—
319C2×Dic11C22×D412yes—
320C2×Dic11C22×D412yes—
321D44—24no—
322D44—22no—
323D44—24no—
324D44—22no—
325D44—48no—
326D44—416no—
327D44—48no—
328D44—416no—
329D44—44no—
330D44—48no—
331D44—42no—
332C4×D11—24no—
333C4×D11—24no—
334C4×D11—28no—
335C4×D11—28no—
336C4×D11—22no—
337C4×D11—22no—
338C4×D11—22no—
339C4×D11—22no—
340C4×D11—48no—
341Dic22—22no—
342Dic22—22no—
343Dic22—42no—
344C8×C11C22×D418yescomplemented
345C11⋊C8—24no—
346C22×#41—111no—
347C23×D4—111no—
348C23×D4—221no—
349C24×C4—111no—
350C2×AGL(1,ℤ/8)—118no—
351C2×AGL(1,ℤ/8)—228no—
352C22×SD16—112no—
353C22×D8—112no—
354C22×M16—111no—
355C22×M16—118no—
356C22×M16—112no—
357C22×M16—228no—
358C22×M16C2×D1111yescharacteristic
359C23×C8—112no—
360#525—118no—
361#525—224no—
362C2×#123—221no—
363C2×C22⋊Q8—111no—
364C2×C22⋊Q8—111no—
365C2×#121—112no—
366C2×#121—112no—
367C2×#121—118no—
368C2×#121—111no—
369C2×#121—111no—
370C2×#121—221no—
371C2×#121—221no—
372C2×#121—224no—
373C2×#120—221no—
374C2×C4×D4—221no—
375C2×C4×D4—221no—
376C2×#117C2×D1111yescharacteristic
377C22×C4⋊C4C2×D1111yescharacteristic
378C22×C22⋊C4—221no—
379#469—1116no—
380#468—1116no—
381#466—1116no—
382#465—1116no—
383#428C2×D1118yescomplemented
384C2×#107C2×D1112yescomplemented
385C2×#106C2×D1112yescomplemented
386#418—118no—
387#417—118no—
388C2×#103—112no—
389C2×#102—112no—
390C2×#102—112no—
391C2×#102—112no—
392C22×C11—28no—
393C22×C11—22no—
394C22×C11—22no—
395C22×C11C2×#12114yes—
396C22×C11C2×#12112yes—
397C22×C11C2×AGL(1,ℤ/8)12yes—
398C22×C11#57512yes—
399C22×C11C23×D411yescharacteristic
400C2×D11—22no—
401C2×D11—28no—
402C2×D11—22no—
403C2×D11—22no—
404C2×D11—22no—
405C2×D11—22no—
406C2×D11—416no—
407C2×D11—44no—
408C2×D11—44no—
409C2×D11—42no—
410C2×D11—44no—
411C2×D11—42no—
412C2×D11—44no—
413C2×D11—42no—
414C2×D11—816no—
415C2×D11—84no—
416C2×D11—88no—
417C2×D11C2×AGL(1,ℤ/8)14yescomplemented
418C4×C11—44no—
419C4×C11—42no—
420C4×C11—42no—
421C4×C11C2×#12112yes—
422C4×C11C2×#12114yes—
423C4×C11C23×D411yescharacteristic
424C4×C11C22×#4111yescharacteristic
425Dic11—22no—
426Dic11—22no—
427Dic11—42no—
428C25—111no—
429C25—221no—
430C2×#41—114no—
431C2×#41—222no—
432C2×#41—224no—
433C2×#41—224no—
434C22×Q8—111no—
435C22×D4—111no—
436C22×D4—112no—
437C22×D4—114no—
438C22×D4—221no—
439C22×D4—221no—
440C22×D4—228no—
441C22×D4—222no—
442C22×D4—222no—
443C22×D4—221no—
444C22×D4—224no—
445C22×D4—222no—
446C22×D4—221no—
447C22×D4—224no—
448C22×D4—448no—
449C23×C4—21no—
450C23×C4—111no—
451C23×C4—111no—
452C23×C4—111no—
453C23×C4—114no—
454C23×C4—111no—
455C23×C4—111no—
456C23×C4—114no—
457C23×C4—224no—
458C23×C4—224no—
459C23×C4—221no—
460C23×C4C22×D1111yescharacteristic
461AGL(1,ℤ/8)—2232no—
462C2×SD16—118no—
463C2×SD16—228no—
464C2×D8—118no—
465C2×D8—228no—
466C2×M16—114no—
467C2×M16—118no—
468C2×M16—224no—
469C2×M16—2232no—
470C2×M16—228no—
471C2×M16D4418yescomplemented
472C2×M16C22×D1114yes—
473C22×C8—112no—
474C22×C8—118no—
475C22×C8—228no—
476C22×C8C22×D1112yes—
477#123—228no—
478C22⋊Q8—114no—
479C22⋊Q8—114no—
480C22⋊Q8—222no—
481C22⋊Q8—222no—
482#121—118no—
483#121—118no—
484#121—114no—
485#121—114no—
486#121—228no—
487#121—228no—
488#121—224no—
489#121—224no—
490#121—222no—
491#121—222no—
492#120—228no—
493C4×D4—228no—
494C4×D4—228no—
495#117—22no—
496#117C22×D1114yes—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—21no—
499C2×C4⋊C4—221no—
500C2×C4⋊C4—221no—
501C2×C4⋊C4C22×D1112yes—
502C2×C4⋊C4C22×D1114yes—
503C2×C4⋊C4C22×D1111yescharacteristic
504C2×C4⋊C4C22×D1111yescharacteristic
505C2×C22⋊C4—21no—
506C2×C22⋊C4—228no—
507C2×C22⋊C4—222no—
508C2×C22⋊C4—222no—
509C2×C22⋊C4—221no—
510C2×C22⋊C4—221no—
511C2×C22⋊C4—221no—
512C2×C22⋊C4—221no—
513C2×C42—21no—
514#107C22×D1118yescomplemented
515#106C22×D1118yescomplemented
516#103—118no—
517#102—118no—
518#102—118no—
519#102—118no—
520C2×C11—24no—
521C2×C11#305514yescomplemented
522C2×C11C22×#12111yescharacteristic
523C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
524C2×C11C2×#57511yescharacteristic
525D11—24no—
526D11—42no—
527D11—82no—
528D11—84no—
529C24—111no—
530C24—111no—
531C24—114no—
532C24—224no—
533C24—224no—
534C24—224no—
535C24—221no—
536C24—222no—
537C24—442no—
538C24—444no—
539C24—444no—
540C24—444no—
541C24D4×D1111yescharacteristic
542#41—228no—
543#41—228no—
544#41—448no—
545C2×Q8—112no—
546C2×Q8—221no—
547C2×Q8—222no—
548C2×Q8—222no—
549C2×D4—112no—
550C2×D4—114no—
551C2×D4—224no—
552C2×D4—224no—
553C2×D4—228no—
554C2×D4—228no—
555C2×D4—224no—
556C2×D4—222no—
557C2×D4—224no—
558C2×D4—228no—
559C2×D4—224no—
560C2×D4—222no—
561C2×D4—221no—
562C2×D4—224no—
563C2×D4—228no—
564C2×D4—222no—
565C2×D4—448no—
566C2×D4—444no—
567C2×D4—4432no—
568C2×D4—448no—
569C2×D4—444no—
570C2×D4—444no—
571C2×D4—444no—
572C2×D4—448no—
573C22×C4—24no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—22no—
577C22×C4—44no—
578C22×C4—114no—
579C22×C4—111no—
580C22×C4—111no—
581C22×C4—114no—
582C22×C4—114no—
583C22×C4—112no—
584C22×C4—112no—
585C22×C4—112no—
586C22×C4—112no—
587C22×C4—224no—
588C22×C4—224no—
589C22×C4—224no—
590C22×C4—2216no—
591C22×C4—222no—
592C22×C4—228no—
593C22×C4—222no—
594C22×C4—222no—
595C22×C4—222no—
596C22×C4—228no—
597C22×C4—221no—
598C22×C4—224no—
599C22×C4—444no—
600C22×C4C2×D4414yes—
601C22×C4D4×D1112yes—
602C22×C4D4×D1111yescharacteristic
603C22×C4#434314yes—
604C22×C4C23×D1112yes—
605C22×C4C23×D1111yescharacteristic
606SD16—2216no—
607D8—2216no—
608M16—228no—
609M16—2216no—
610M16C2×D44116yescomplemented
611C2×C8—114no—
612C2×C8—224no—
613C2×C8—2216no—
614C2×C8C2×D4418yescomplemented
615C2×C8C23×D1114yes—
616C4⋊C4—24no—
617C4⋊C4—22no—
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—224no—
621C4⋊C4—224no—
622C4⋊C4C23×D1112yes—
623C4⋊C4C23×D1112yes—
624C4⋊C4C23×D1114yes—
625C22⋊C4—24no—
626C22⋊C4—228no—
627C22⋊C4—228no—
628C22⋊C4—224no—
629C22⋊C4—224no—
630C22⋊C4—224no—
631C22⋊C4—224no—
632C42—24no—
633C11C2×#305511yescharacteristic, complemented, Sylow
634C23—22no—
635C23—22no—
636C23—114no—
637C23—112no—
638C23—112no—
639C23—228no—
640C23—222no—
641C23—222no—
642C23—228no—
643C23—222no—
644C23—222no—
645C23—222no—
646C23—222no—
647C23—224no—
648C23—444no—
649C23—4416no—
650C23—448no—
651C23—448no—
652C23—442no—
653C23—448no—
654C23—444no—
655C23—444no—
656C23—442no—
657C23—442no—
658C23—444no—
659C23—8816no—
660C23#6694814yes—
661C23C2×D4×D1112yes—
662C23C2×D4×D1111yescharacteristic
663Q8—222no—
664Q8—222no—
665Q8—442no—
666D4—222no—
667D4—224no—
668D4—224no—
669D4—222no—
670D4—4416no—
671D4—448no—
672D4—4416no—
673D4—448no—
674D4—448no—
675D4—448no—
676D4—444no—
677D4—442no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—48no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—112no—
686C2×C4—112no—
687C2×C4—228no—
688C2×C4—222no—
689C2×C4—222no—
690C2×C4—228no—
691C2×C4—228no—
692C2×C4—224no—
693C2×C4—224no—
694C2×C4—222no—
695C2×C4—222no—
696C2×C4—222no—
697C2×C4—222no—
698C2×C4—222no—
699C2×C4—442no—
700C2×C4—448no—
701C2×C4#6694814yes—
702C2×C4#6694818yes—
703C2×C4C22×D4412yes—
704C2×C4C22×D4414yes—
705C2×C4C2×D4×D1112yes—
706C2×C4C2×D4×D1111yescharacteristic
707C2×C4C2×#434312yes—
708C2×C4C2×#434314yes—
709C2×C4C24×D1111yescharacteristic
710C8—224no—
711C8C22×D4418yescomplemented
712C22—22no—
713C22—28no—
714C22—22no—
715C22—114no—
716C22—228no—
717C22—222no—
718C22—222no—
719C22—222no—
720C22—222no—
721C22—222no—
722C22—4416no—
723C22—444no—
724C22—444no—
725C22—442no—
726C22—442no—
727C22—444no—
728C22—442no—
729C22—444no—
730C22—8816no—
731C22—888no—
732C22—884no—
733C22C2×#6694814yes—
734C22C2×#6694812yes—
735C22D11×AGL(1,ℤ/8)12yes—
736C22#1062330812yes—
737C22C22×D4×D1111yescharacteristic
738C4—44no—
739C4—42no—
740C4—42no—
741C4—222no—
742C4—222no—
743C4—442no—
744C4C2×#6694814yes—
745C4C2×#6694812yes—
746C4C23×D4411yescharacteristic
747C4C22×#434311yescharacteristic
748C2—24no—
749C2—224no—
750C2—442no—
751C2—884no—
752C2—882no—
753C2#1307823614yesdirect product factor
754C2C22×#6694811yescharacteristic
755C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
756C2C2×#1062330811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#428C2
socleC23×C11C22×D4
hypercenterC2×#428D11
hypocenterC11C2×#3055
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
1. C22×#66961C2semidirect
2. C22×M16×D11C2semidirect
3. C2×#10623055C2semidirect
4. C22×#66948C2semidirect
5. #13078236C2direct (N × H)
6. C2×#10622478C2semidirect
7. C2×#10622499C2semidirect
8. C2×#10622496C2semidirect
9. C2×#10622477C2semidirect
10. C2×#10622579C2semidirect
11. C2×#10622614C2semidirect
12. C2×C11×#428C2semidirect
23. C2×#66961C22semidirect
25. C2×M16×D11C22semidirect
26. C22×D88C22semidirect
27. C22×#4314C22semidirect
28. C22×#4313C22semidirect
29. C22×C8×D11C22semidirect
31. #10623055C22semidirect
32. C2×#66950C22semidirect
33. C2×#66950C22semidirect
39. C2×#66948C22semidirect
40. C2×#66948C22semidirect
41. C2×#66948C22semidirect
46. C11×#428C22semidirect
47. C2×C11×#107C22semidirect
48. C2×C11×#106C22semidirect
49. #10622614C22semidirect
50. C2×#66874C22semidirect
51. #10622579C22semidirect
52. C2×#66873C22semidirect
53. C2×#66873C22semidirect
54. C2×#66873C22semidirect
55. #10622499C22semidirect
56. #10622496C22semidirect
57. #10622478C22semidirect
58. #10622477C22semidirect
92. C2×C11×M16D4semidirect
120. C2×D88C23semidirect
122. C2×#4314C23semidirect
124. C2×#4313C23semidirect
126. C2×C8×D11C23semidirect
129. #66950C23semidirect
130. #66950C23semidirect
139. #66948C23semidirect
140. #66948C23semidirect
145. C11×#107C23semidirect
146. C11×#106C23semidirect
147. #66874C23semidirect
148. #66873C23semidirect
149. #66873C23semidirect
150. #66873C23semidirect
229. C11×M16C2×D4semidirect
230. C2×C8×C11C2×D4semidirect
265. C2×#428D11semidirect
294. C22×D11AGL(1,ℤ/8)semidirect
344. C8×C11C22×D4semidirect
383. #428C2×D11semidirect
384. C2×#107C2×D11semidirect
385. C2×#106C2×D11semidirect
417. C2×D11C2×AGL(1,ℤ/8)semidirect
471. C2×M16D44semidirect
514. #107C22×D11semidirect
515. #106C22×D11semidirect
521. C2×C11#3055semidirect
610. M16C2×D44semidirect
614. C2×C8C2×D44semidirect
633. C11C2×#3055semidirect
711. C8C22×D44semidirect
753. C2#13078236direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669612
C22×M16×D112
C2×#106230552
C22×#669482
#130782362
C2×#106224782
C2×#106224992
C2×#106224962
C2×#106224772
C2×#106225792
C2×#106226142
C2×C11×#4282
C2×#305511