Finite Group Databasebeta

← C2×#13079432 #15624375

Subgroups — C2×#13079432 #15624375

Order 2816.

2686 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623322C211yesmaximal, characteristic, complemented
2C22×#66983C211yesmaximal, characteristic, complemented
3#13079432C2116yesmaximal, direct product factor
4C2×#10622350C212yesmaximal, complemented
5C2×#10622334C211yesmaximal, characteristic, complemented
6C2×#10622349C211yesmaximal, characteristic, complemented
7C2×#10622748C212yesmaximal, complemented
8C2×#10622747C212yesmaximal, complemented
9C2×#10622347C212yesmaximal, complemented
10C2×#10622344C211yesmaximal, characteristic, complemented
11C2×#10622345C211yesmaximal, characteristic, complemented
12C2×C11×#407C211yesmaximal, characteristic, complemented
13C24×C4×C11C2211yescharacteristic
14C23×C22⋊D11—21no—
15C22×#4339C2211yescharacteristic, complemented
16C23×D44C2211yescharacteristic
17C22×C11×M16C2212yescomplemented
18C2×#67006—21no—
19#10623322—24no—
20#10623322C2218yescomplemented
21C2×#66983—21no—
22C2×#66983—21no—
23C2×#66983—24no—
24C2×#66983C2211yescharacteristic
25C2×#66983C2212yes—
26C2×#66983C2212yes—
27C2×#66983C2218yescomplemented
28C2×#66983C2211yescharacteristic, complemented
29C2×#66982—21no—
30C2×C4×C22⋊D11—21no—
31C2×C4×C22⋊D11—21no—
32C22×(C2×D11)⋊C4—21no—
33C2×#66979C2211yescharacteristic, complemented
34C22×C4⋊Dic11C2211yescharacteristic
35C2×#66977C2211yescharacteristic
36C2×#66977C2211yescharacteristic, complemented
37C22×D88C2212yescomplemented
38C22×#4314C2212yescomplemented
39C11×#407C2218yescomplemented
40C2×C11×C22⋊C8C2211yescharacteristic
41C2×C11×C22⋊C8C2211yescharacteristic
42C2×C11×C22⋊C8C2212yescomplemented
43#10622748C22116yescomplemented
44#10622747C22116yescomplemented
45C2×#66885C2212yescomplemented
46C2×#66885C2212yescomplemented
47C2×#66885C2212yescomplemented
48C2×#66882C2212yescomplemented
49C2×#66881C2212yescomplemented
50C2×#66880C2212yescomplemented
51#10622350C22116yescomplemented
52#10622349C2218yescomplemented
53#10622347C22116yescomplemented
54#10622345C2218yescomplemented
55#10622344C2218yescomplemented
56#10622334C2218yescomplemented
57C25×C11D411yescharacteristic
58C24×D11—21no—
59C23×C4×C11—44no—
60C23×C4×C11D411yescharacteristic
61C23×C4×C11D411yescharacteristic
62C23×C4×C11D411yescharacteristic
63C23×C4×C11D414yes—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2314yes—
68C22×C22⋊D11—21no—
69C22×C22⋊D11—21no—
70C22×C22⋊D11—21no—
71C22×C22⋊D11—22no—
72C22×C22⋊D11—22no—
73C22×C22⋊D11—28no—
74C22×C22⋊D11—48no—
75C23×Dic11—21no—
76C2×#4339—22no—
77C2×#4339—44no—
78C2×#4339C2314yescomplemented
79C22×D44—21no—
80C22×D44—22no—
81C22×D44—44no—
82C22×D44C2312yes—
83C22×D44C2311yescharacteristic
84C22×D44C2314yes—
85C22×C4×D11—21no—
86C22×Dic22C2311yescharacteristic
87C2×C11×M16—44no—
88C2×C11×M16C2318yescomplemented
89C22×C8×C11C2312yes—
90C22×C8×C11C2312yes—
91#67006—28no—
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94C2×C22⋊Dic11—21no—
95#66983—24no—
96#66983—24no—
97#66983—28no—
98#66983—28no—
99#66983—22no—
100#66983—22no—
101#66983C2318yes—
102#66983C2318yes—
103#66983C2314yes—
104#66983C2314yescomplemented
105#66982—28no—
106C4×C22⋊D11—28no—
107C4×C22⋊D11—28no—
108C2×(C2×D11)⋊C4—22no—
109C2×(C2×D11)⋊C4—22no—
110C2×(C2×D11)⋊C4—28no—
111C2×(C2×D11)⋊C4—21no—
112C2×(C2×D11)⋊C4—21no—
113#66979—22no—
114#66979C2314yescomplemented
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11—22no—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2314yes—
121#66977—22no—
122#66977—22no—
123#66977C2314yes—
124#66977C2314yescomplemented
125C2×Dic11⋊C4—21no—
126C2×Dic11⋊C4—21no—
127C2×C4×Dic11—21no—
128C2×D88—44no—
129C2×D88C2318yescomplemented
130C2×#4314—44no—
131C2×#4314C2318yescomplemented
132C11×C22⋊C8C2314yes—
133C11×C22⋊C8C2314yes—
134C11×C22⋊C8C2318yescomplemented
135#66885C2318yescomplemented
136#66885C2318yescomplemented
137#66885C2318yescomplemented
138#66882C2318yescomplemented
139#66881C2318yescomplemented
140#66880C2318yescomplemented
141C2×#3194—111nomaximal, Sylow
142C24×C11—24no—
143C24×C11—42no—
144C24×C11—42no—
145C24×C11C2×D411yescharacteristic
146C24×C11C2×D411yescharacteristic
147C24×C11C2×D411yescharacteristic
148C24×C11C2×D414yes—
149C23×D11—21no—
150C23×D11—24no—
151C23×D11—22no—
152C23×D11—44no—
153C23×D11—44no—
154C23×D11—44no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11—48no—
159C22×C4×C11—48no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D412yes—
167C22×C4×C11C2×D412yes—
168C22×C4×C11C2×D412yes—
169C22×C4×C11C2×D414yes—
170C22×C4×C11C2×D414yes—
171C22×C4×C11C2×D414yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2411yescharacteristic
176C2×C22⋊D11—24no—
177C2×C22⋊D11—24no—
178C2×C22⋊D11—24no—
179C2×C22⋊D11—28no—
180C2×C22⋊D11—28no—
181C2×C22⋊D11—44no—
182C2×C22⋊D11—44no—
183C2×C22⋊D11—48no—
184C2×C22⋊D11—48no—
185C2×C22⋊D11—432no—
186C2×C22⋊D11—44no—
187C22×Dic11—21no—
188C22×Dic11—21no—
189C22×Dic11—21no—
190C22×Dic11—24no—
191C22×Dic11—22no—
192C22×Dic11—44no—
193#4339—48no—
194#4339—48no—
195C2×D44—24no—
196C2×D44—22no—
197C2×D44—21no—
198C2×D44—24no—
199C2×D44—24no—
200C2×D44—24no—
201C2×D44—48no—
202C2×D44—44no—
203C2×D44—48no—
204C2×D44C2414yes—
205C2×D44C2412yes—
206C2×C4×D11—24no—
207C2×C4×D11—44no—
208C2×Dic22—21no—
209C2×Dic22—24no—
210C2×Dic22C2412yes—
211C11×M16—48no—
212C2×C8×C11—24no—
213C2×C8×C11—24no—
214C2×C8×C11C2414yes—
215C2×C8×C11C2414yes—
216C22⋊Dic11—24no—
217C22⋊Dic11—24no—
218C22⋊Dic11—24no—
219(C2×D11)⋊C4—28no—
220(C2×D11)⋊C4—28no—
221(C2×D11)⋊C4—24no—
222(C2×D11)⋊C4—24no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—24no—
226C4⋊Dic11—22no—
227C4⋊Dic11C2414yes—
228C4⋊Dic11C2412yes—
229C4⋊Dic11C2412yes—
230Dic11⋊C4—24no—
231Dic11⋊C4—24no—
232C4×Dic11—24no—
233D88—48no—
234#4314—48no—
235C2×#525—111no—
236C22×#121—111no—
237#3194—1116no—
238C2×#482—112no—
239C2×#483—111no—
240C2×#480—111no—
241C2×#469—112no—
242C2×#468—112no—
243C2×#449—112no—
244C2×#450—111no—
245C2×#447—111no—
246C2×#407D1111yescharacteristic, complemented
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—28no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—44no—
257C23×C11—44no—
258C23×C11—416no—
259C23×C11AGL(1,ℤ/8)14yes—
260C23×C11C22×D412yes—
261C23×C11C22×D412yes—
262C23×C11C22×D412yes—
263C23×C11C22×D411yescharacteristic
264C22×D11—22no—
265C22×D11—24no—
266C22×D11—48no—
267C22×D11—48no—
268C22×D11—42no—
269C22×D11—44no—
270C22×D11—48no—
271C22×D11—44no—
272C22×D11—42no—
273C22×D11—42no—
274C22×D11—44no—
275C22×D11—816no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—44no—
286C2×C4×C11—44no—
287C2×C4×C11—44no—
288C2×C4×C11C22×D412yes—
289C2×C4×C11C22×D412yes—
290C2×C4×C11C22×D412yes—
291C2×C4×C11C22×D411yescharacteristic
292C2×C4×C11H(5,𝔽2)14yes—
293C2×C4×C11C2511yescharacteristic
294C22⋊D11—48no—
295C22⋊D11—48no—
296C22⋊D11—416no—
297C22⋊D11—416no—
298C22⋊D11—48no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—24no—
303C2×Dic11—42no—
304C2×Dic11—48no—
305C2×Dic11—44no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308D44—24no—
309D44—24no—
310D44—24no—
311D44—48no—
312D44—44no—
313D44—42no—
314C4×D11—48no—
315Dic22—24no—
316Dic22—42no—
317C8×C11—24no—
318C8×C11—24no—
319C22×#41—111no—
320C23×D4—111no—
321C23×D4—221no—
322C24×C4C2×D1111yescharacteristic
323C22×SD16—112no—
324C22×D8—112no—
325C22×M16C2×D1112yescomplemented
326#525—118no—
327#525—224no—
328C2×#123—221no—
329C2×C22⋊Q8—111no—
330C2×C22⋊Q8—111no—
331C2×#121—111no—
332C2×#121—112no—
333C2×#121—112no—
334C2×#121—118no—
335C2×#121—111no—
336C2×#121—221no—
337C2×#121—221no—
338C2×#121—224no—
339C2×#120—221no—
340C2×C4×D4—221no—
341C2×C4×D4—221no—
342C2×#117—111no—
343C22×C4⋊C4—111no—
344C22×C22⋊C4—221no—
345#483—118no—
346#482—1116no—
347#480—118no—
348#469—1116no—
349#468—1116no—
350#450—118no—
351#449—1116no—
352#447—118no—
353C2×#107—112no—
354C2×#106—112no—
355C2×#103—112no—
356C2×#102—112no—
357C2×#102—112no—
358C2×#102—112no—
359#407C2×D1118yescomplemented
360C2×C22⋊C8C2×D1111yescharacteristic
361C2×C22⋊C8C2×D1111yescharacteristic
362C2×C22⋊C8C2×D1112yescomplemented
363C22×C11—22no—
364C22×C11—28no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—416no—
373C22×C11—44no—
374C22×C11—44no—
375C22×C11#53412yes—
376C22×C11C2×AGL(1,ℤ/8)14yes—
377C22×C11C2×AGL(1,ℤ/8)12yes—
378C22×C11#57512yes—
379C22×C11C23×D411yescharacteristic
380C2×D11—44no—
381C2×D11—42no—
382C2×D11—44no—
383C2×D11—42no—
384C2×D11—44no—
385C2×D11—42no—
386C2×D11—816no—
387C2×D11—84no—
388C2×D11—88no—
389C4×C11—22no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11#53412yes—
393C4×C11C2×H(5,𝔽2)12yes—
394Dic11—42no—
395Dic11—44no—
396Dic11—42no—
397Dic11—42no—
398C25—221no—
399C25D4411yescharacteristic
400C2×#41—114no—
401C2×#41—222no—
402C2×#41—444no—
403C22×Q8—111no—
404C22×D4—111no—
405C22×D4—112no—
406C22×D4—114no—
407C22×D4—221no—
408C22×D4—221no—
409C22×D4—221no—
410C22×D4—228no—
411C22×D4—222no—
412C22×D4—222no—
413C22×D4—222no—
414C22×D4—221no—
415C22×D4—444no—
416C22×D4—448no—
417C23×C4—44no—
418C23×C4—221no—
419C23×C4—221no—
420C23×C4D4411yescharacteristic
421C23×C4D4411yescharacteristic
422C23×C4D4411yescharacteristic
423C23×C4D4414yes—
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1114yes—
428C2×SD16—118no—
429C2×SD16—444no—
430C2×D8—118no—
431C2×D8—444no—
432C2×M16—44no—
433C2×M16C22×D1118yescomplemented
434C22×C8C22×D1112yes—
435C22×C8C22×D1112yes—
436#123—228no—
437C22⋊Q8—114no—
438C22⋊Q8—114no—
439C22⋊Q8—222no—
440C22⋊Q8—222no—
441#121—118no—
442#121—118no—
443#121—114no—
444#121—114no—
445#121—224no—
446#121—224no—
447#121—228no—
448#121—228no—
449#121—222no—
450#121—222no—
451#120—228no—
452C4×D4—228no—
453C4×D4—228no—
454#117—114no—
455#117—222no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—114no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—222no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4—221no—
463C2×C4⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—228no—
468C2×C22⋊C4—222no—
469C2×C22⋊C4—222no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C42—221no—
473#107—118no—
474#106—118no—
475#103—118no—
476#102—118no—
477#102—118no—
478#102—118no—
479C22⋊C8C22×D1114yes—
480C22⋊C8C22×D1114yes—
481C22⋊C8C22×D1118yescomplemented
482C2×C11—24no—
483C2×C11—42no—
484C2×C11—42no—
485C2×C11#319414yescomplemented
486C2×C11C2×#53411yescharacteristic
487C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
488C2×C11C2×#57511yescharacteristic
489D11—82no—
490D11—84no—
491C24—24no—
492C24—42no—
493C24—42no—
494C24—224no—
495C24—221no—
496C24—222no—
497C24—444no—
498C24—444no—
499C24—444no—
500C24C2×D4411yescharacteristic
501C24C2×D4411yescharacteristic
502C24C2×D4411yescharacteristic
503C24C2×D4414yes—
504#41—448no—
505#41—448no—
506C2×Q8—112no—
507C2×Q8—221no—
508C2×Q8—224no—
509C2×D4—112no—
510C2×D4—114no—
511C2×D4—224no—
512C2×D4—224no—
513C2×D4—224no—
514C2×D4—228no—
515C2×D4—228no—
516C2×D4—224no—
517C2×D4—222no—
518C2×D4—221no—
519C2×D4—224no—
520C2×D4—224no—
521C2×D4—224no—
522C2×D4—448no—
523C2×D4—444no—
524C2×D4—448no—
525C2×D4—4432no—
526C2×D4—448no—
527C2×D4—448no—
528C2×D4—444no—
529C2×D4—444no—
530C2×D4—444no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—224no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—222no—
543C22×C4—221no—
544C22×C4—224no—
545C22×C4—444no—
546C22×C4—444no—
547C22×C4C2×D4412yes—
548C22×C4C2×D4412yes—
549C22×C4C2×D4412yes—
550C22×C4C2×D4411yescharacteristic
551C22×C4C2×D4411yescharacteristic
552C22×C4C2×D4411yescharacteristic
553C22×C4C2×D4414yes—
554C22×C4C2×D4414yes—
555C22×C4C2×D4414yes—
556C22×C4C23×D1112yes—
557C22×C4C23×D1112yes—
558C22×C4C23×D1112yes—
559C22×C4C23×D1111yescharacteristic
560SD16—448no—
561D8—448no—
562M16—48no—
563C2×C8—24no—
564C2×C8—24no—
565C2×C8C23×D1114yes—
566C2×C8C23×D1114yes—
567C4⋊C4—112no—
568C4⋊C4—112no—
569C4⋊C4—114no—
570C4⋊C4—224no—
571C4⋊C4—222no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—224no—
575C4⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—224no—
578C22⋊C4—224no—
579C22⋊C4—228no—
580C22⋊C4—228no—
581C22⋊C4—224no—
582C22⋊C4—224no—
583C42—224no—
584C11C2×#319411yescharacteristic, complemented, Sylow
585C23—22no—
586C23—22no—
587C23—28no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—44no—
595C23—44no—
596C23—416no—
597C23—222no—
598C23—224no—
599C23—448no—
600C23—448no—
601C23—448no—
602C23—444no—
603C23—442no—
604C23—442no—
605C23—444no—
606C23—442no—
607C23—444no—
608C23—8816no—
609C23#6696114yes—
610C23C22×D4412yes—
611C23C22×D4412yes—
612C23C22×D4412yes—
613C23C22×D4411yescharacteristic
614Q8—224no—
615Q8—442no—
616D4—224no—
617D4—224no—
618D4—224no—
619D4—448no—
620D4—4416no—
621D4—4416no—
622D4—448no—
623D4—448no—
624D4—448no—
625D4—444no—
626D4—442no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—44no—
637C2×C4—44no—
638C2×C4—44no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—224no—
642C2×C4—222no—
643C2×C4—448no—
644C2×C4—448no—
645C2×C4—444no—
646C2×C4—442no—
647C2×C4—442no—
648C2×C4—442no—
649C2×C4C22×D4412yes—
650C2×C4C22×D4412yes—
651C2×C4C22×D4412yes—
652C2×C4C22×D4411yescharacteristic
653C2×C4#6703714yes—
654C2×C4C24×D1111yescharacteristic
655C8—24no—
656C8—24no—
657C22—22no—
658C22—28no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—416no—
667C22—44no—
668C22—44no—
669C22—442no—
670C22—444no—
671C22—444no—
672C22—442no—
673C22—442no—
674C22—444no—
675C22—8816no—
676C22—888no—
677C22—884no—
678C22#1062302412yes—
679C22C2×#6696114yes—
680C22C2×#6696112yes—
681C22#1062327912yes—
682C22C23×D4411yescharacteristic
683C4—22no—
684C4—22no—
685C4—22no—
686C4—442no—
687C4—444no—
688C4—442no—
689C4—442no—
690C4#1062302412yes—
691C4C2×#6703712yes—
692C2—24no—
693C2—42no—
694C2—42no—
695C2—884no—
696C2—882no—
697C2#1307943214yesdirect product factor
698C2C2×#1062302411yescharacteristic
699C2C22×#6696111yescharacteristic
700C2C2×#1062327911yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#407C2
socleC23×C11C22×D4
hypercenterC2×#407D11
hypocenterC11C2×#3194
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#407

Complements

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

NH ≅ G/Ntype
1. C2×#10623322C2semidirect
2. C22×#66983C2semidirect
3. #13079432C2direct (N × H)
4. C2×#10622350C2semidirect
5. C2×#10622334C2semidirect
6. C2×#10622349C2semidirect
7. C2×#10622748C2semidirect
8. C2×#10622747C2semidirect
9. C2×#10622347C2semidirect
10. C2×#10622344C2semidirect
11. C2×#10622345C2semidirect
12. C2×C11×#407C2semidirect
15. C22×#4339C22semidirect
17. C22×C11×M16C22semidirect
20. #10623322C22semidirect
27. C2×#66983C22semidirect
28. C2×#66983C22semidirect
33. C2×#66979C22semidirect
36. C2×#66977C22semidirect
37. C22×D88C22semidirect
38. C22×#4314C22semidirect
39. C11×#407C22semidirect
42. C2×C11×C22⋊C8C22semidirect
43. #10622748C22semidirect
44. #10622747C22semidirect
45. C2×#66885C22semidirect
46. C2×#66885C22semidirect
47. C2×#66885C22semidirect
48. C2×#66882C22semidirect
49. C2×#66881C22semidirect
50. C2×#66880C22semidirect
51. #10622350C22semidirect
52. #10622349C22semidirect
53. #10622347C22semidirect
54. #10622345C22semidirect
55. #10622344C22semidirect
56. #10622334C22semidirect
78. C2×#4339C23semidirect
88. C2×C11×M16C23semidirect
104. #66983C23semidirect
114. #66979C23semidirect
124. #66977C23semidirect
129. C2×D88C23semidirect
131. C2×#4314C23semidirect
134. C11×C22⋊C8C23semidirect
135. #66885C23semidirect
136. #66885C23semidirect
137. #66885C23semidirect
138. #66882C23semidirect
139. #66881C23semidirect
140. #66880C23semidirect
246. C2×#407D11semidirect
325. C22×M16C2×D11semidirect
359. #407C2×D11semidirect
362. C2×C22⋊C8C2×D11semidirect
433. C2×M16C22×D11semidirect
481. C22⋊C8C22×D11semidirect
485. C2×C11#3194semidirect
584. C11C2×#3194semidirect
697. C2#13079432direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106233222
C22×#669832
#130794322
C2×#106223502
C2×#106223342
C2×#106223492
C2×#106227482
C2×#106227472
C2×#106223472
C2×#106223442
C2×#106223452
C2×C11×#4072
C2×#319411