Finite Group Databasebeta

← C2×#13070263 #14906501

Subgroups — C2×#13070263 #14906501

Order 2816.

1494 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623335C211yesmaximal, characteristic
2C22×#66898C211yesmaximal, characteristic, complemented
3#13070263C218yesmaximal, direct product factor
4C2×#10622114C212yesmaximal, complemented
5C2×#10622113C212yesmaximal, complemented
6C22×C11×#100C211yesmaximal, characteristic, complemented
7C23×D4×C11C2211yescharacteristic
8C23×C22⋊D11C411yescharacteristic, complemented
9C22×C11×M16—21no—
10C2×#67006—21no—
11C22×C22⋊Dic11—21no—
12C22×C22⋊Dic11C411yescharacteristic, complemented
13#10623335—22no—
14#10623335—22no—
15#10623335C414yescomplemented
16#10623335C2214yes—
17C2×#66992—21no—
18C2×#66992—21no—
19C2×#66990C411yescharacteristic, complemented
20C2×#66990C2211yescharacteristic
21C2×#66988C411yescharacteristic, complemented
22C2×#66988C2211yescharacteristic
23C2×#66982—21no—
24C2×C11×#100—22no—
25C2×C11×#100—21no—
26C2×C11×#100C2212yes—
27C2×C11×#100C2214yescomplemented
28C2×#66898—22no—
29C2×#66898—21no—
30C2×#66898C2212yes—
31C2×#66898C2214yescomplemented
32#10622114C2218yescomplemented
33#10622113C2218yescomplemented
34C25×C11C2×C411yescharacteristic
35C25×C11D411yescharacteristic
36C24×D11C2×C411yescharacteristic, complemented
37C22×D4×C11—41no—
38C22×D4×C11—41no—
39C22×D4×C11—42no—
40C22×D4×C11C2×C411yescharacteristic
41C22×D4×C11C2×C412yes—
42C22×D4×C11D411yescharacteristic
43C22×D4×C11D412yes—
44C22×D4×C11D411yescharacteristic
45C22×D4×C11D412yes—
46C22×D4×C11C2311yescharacteristic
47C22×D4×C11C2312yes—
48C23×C4×C11D411yescharacteristic
49C22×C22⋊D11—21no—
50C22×C22⋊D11—21no—
51C22×C22⋊D11—22no—
52C22×C22⋊D11—21no—
53C22×C22⋊D11—21no—
54C22×C22⋊D11—41no—
55C22×C22⋊D11—41no—
56C22×C22⋊D11—42no—
57C22×C22⋊D11C2×C414yescomplemented
58C23×Dic11—21no—
59C23×Dic11—41no—
60C23×Dic11C2×C411yescharacteristic, complemented
61C2×C11×M16—22no—
62C2×C11×M16—24no—
63C2×C11×M16—41no—
64C2×C11×M16—42no—
65C22×C8×C11—41no—
66#67006—24no—
67#67006—24no—
68C2×C22⋊Dic11—21no—
69C2×C22⋊Dic11—21no—
70C2×C22⋊Dic11—22no—
71C2×C22⋊Dic11—21no—
72C2×C22⋊Dic11—22no—
73C2×C22⋊Dic11—24no—
74C2×C22⋊Dic11—42no—
75C2×C22⋊Dic11—41no—
76C2×C22⋊Dic11C2×C411yescharacteristic, complemented
77C2×C22⋊Dic11C2×C411yescharacteristic, complemented
78C2×C22⋊Dic11C2×C414yescomplemented
79#66992—24no—
80#66992—24no—
81#66992—24no—
82#66992—24no—
83#66990—22no—
84#66990—21no—
85#66990—21no—
86#66990C2×C414yescomplemented
87#66990C2×C412yescomplemented
88#66990C2312yes—
89#66988—22no—
90#66988—21no—
91#66988—21no—
92#66988C2×C414yescomplemented
93#66988C2×C412yescomplemented
94#66988C2312yes—
95#66982—24no—
96#66982—24no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C11×#100—22no—
102C11×#100—24no—
103C11×#100C2314yes—
104#66898—22no—
105#66898—24no—
106#66898C2314yes—
107C2×#2121—111nomaximal, Sylow
108C24×C11—21no—
109C24×C11—21no—
110C24×C11—22no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11—22no—
114C24×C11—82no—
115C24×C11—82no—
116C24×C11C22⋊C411yescharacteristic
117C24×C11C22⋊C411yescharacteristic
118C24×C11C22⋊C412yes—
119C24×C11C22⋊C412yes—
120C24×C11C22⋊C411yescharacteristic
121C24×C11C22×C411yescharacteristic
122C24×C11C22×C412yes—
123C24×C11C2×D411yescharacteristic
124C24×C11C2×D412yes—
125C23×D11—21no—
126C23×D11—21no—
127C23×D11—41no—
128C23×D11—41no—
129C23×D11—82no—
130C23×D11C22×C412yescomplemented
131C2×D4×C11—41no—
132C2×D4×C11—41no—
133C2×D4×C11—42no—
134C2×D4×C11—42no—
135C2×D4×C11—41no—
136C2×D4×C11—42no—
137C2×D4×C11—41no—
138C2×D4×C11—42no—
139C2×D4×C11—41no—
140C2×D4×C11—42no—
141C2×D4×C11—41no—
142C2×D4×C11—42no—
143C2×D4×C11—41no—
144C2×D4×C11—42no—
145C2×D4×C11—42no—
146C2×D4×C11—41no—
147C2×D4×C11C22⋊C412yes—
148C2×D4×C11C22⋊C412yes—
149C2×D4×C11C22⋊C412yes—
150C2×D4×C11C22×C412yes—
151C2×D4×C11C22×C411yescharacteristic
152C2×D4×C11C2×D411yescharacteristic
153C2×D4×C11C2×D412yes—
154C2×D4×C11C2×D411yescharacteristic
155C2×D4×C11C2×D412yes—
156C2×D4×C11C2411yescharacteristic
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—22no—
160C22×C4×C11C22⋊C411yescharacteristic
161C22×C4×C11C22⋊C412yes—
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D412yes—
164C2×C22⋊D11—24no—
165C2×C22⋊D11—24no—
166C2×C22⋊D11—24no—
167C2×C22⋊D11—22no—
168C2×C22⋊D11—22no—
169C2×C22⋊D11—44no—
170C2×C22⋊D11—44no—
171C2×C22⋊D11—44no—
172C2×C22⋊D11—44no—
173C2×C22⋊D11—42no—
174C2×C22⋊D11—42no—
175C2×C22⋊D11—41no—
176C2×C22⋊D11—41no—
177C2×C22⋊D11—42no—
178C2×C22⋊D11—82no—
179C2×C22⋊D11—82no—
180C22×Dic11—21no—
181C22×Dic11—21no—
182C22×Dic11—21no—
183C22×Dic11—21no—
184C22×Dic11—24no—
185C22×Dic11—41no—
186C22×Dic11—41no—
187C22×Dic11—42no—
188C22×Dic11—44no—
189C22×Dic11—82no—
190C22×Dic11—84no—
191C22×Dic11C22×C412yescomplemented
192C11×M16—24no—
193C11×M16—42no—
194C11×M16—44no—
195C2×C8×C11—42no—
196C2×C8×C11—44no—
197C22⋊Dic11—24no—
198C22⋊Dic11—21no—
199C22⋊Dic11—21no—
200C22⋊Dic11—24no—
201C22⋊Dic11—22no—
202C22⋊Dic11—22no—
203C22⋊Dic11—24no—
204C22⋊Dic11—42no—
205C22⋊Dic11—44no—
206C22⋊Dic11C22×C412yescomplemented
207C22⋊Dic11C22×C412yescomplemented
208(C2×D11)⋊C4—24no—
209(C2×D11)⋊C4—22no—
210(C2×D11)⋊C4—22no—
211Dic11⋊C4—24no—
212Dic11⋊C4—22no—
213Dic11⋊C4—22no—
214C2×#534—111no—
215C22×#100D1111yescharacteristic, complemented
216C22×#99—111no—
217#2121—118no—
218C2×#352—112no—
219C2×AΣL(1,𝔽16)—112no—
220C23×C11—22no—
221C23×C11—21no—
222C23×C11—21no—
223C23×C11—21no—
224C23×C11—21no—
225C23×C11—21no—
226C23×C11—22no—
227C23×C11—21no—
228C23×C11—21no—
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—21no—
235C23×C11—22no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—44no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—82no—
243C23×C11—82no—
244C23×C11—82no—
245C23×C11—82no—
246C23×C11—82no—
247C23×C11—82no—
248C23×C11—82no—
249C23×C11—84no—
250C23×C11—84no—
251C23×C11#9911yescharacteristic
252C23×C11#9911yescharacteristic
253C23×C11#9912yes—
254C23×C11C2×C22⋊C411yescharacteristic
255C23×C11C2×C22⋊C411yescharacteristic
256C23×C11C2×C22⋊C412yes—
257C23×C11C2×C22⋊C411yescharacteristic
258C23×C11C2×C22⋊C412yes—
259C23×C11C2×C22⋊C412yes—
260C23×C11C23×C411yescharacteristic
261C23×C11C22×D411yescharacteristic
262C22×D11—22no—
263C22×D11—42no—
264C22×D11—42no—
265C22×D11—42no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—42no—
269C22×D11—82no—
270C22×D11—82no—
271C22×D11—84no—
272C22×D11—84no—
273D4×C11—42no—
274D4×C11—42no—
275D4×C11—42no—
276D4×C11—42no—
277D4×C11—41no—
278D4×C11—41no—
279D4×C11—42no—
280D4×C11—41no—
281D4×C11—42no—
282D4×C11—41no—
283C2×C4×C11—22no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—21no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11C2×C22⋊C412yes—
292C2×C4×C11C2×C22⋊C411yescharacteristic
293C2×C4×C11C22×D411yescharacteristic
294C22⋊D11—48no—
295C22⋊D11—44no—
296C22⋊D11—44no—
297C22⋊D11—84no—
298C22⋊D11—82no—
299C22⋊D11—82no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—42no—
309C2×Dic11—44no—
310C2×Dic11—84no—
311C2×Dic11—88no—
312C2×Dic11—84no—
313C8×C11—44no—
314C23×D4—111no—
315C23×D4C2×D1111yescharacteristic
316C22×M16—21no—
317#534—114no—
318#534—114no—
319#534—222no—
320#534—222no—
321C2×#123—111no—
322C2×#123—111no—
323C2×#123—221no—
324C2×#121—221no—
325C2×#121—221no—
326C2×#120—111no—
327C2×#120—111no—
328C2×#120—221no—
329C22×C22⋊C4—111no—
330C22×C22⋊C4—221no—
331C2×#100—22no—
332C2×#100—21no—
333C2×#100C2×D1112yes—
334C2×#100C2×D1114yescomplemented
335C2×#99—112no—
336C2×#99—114no—
337C2×#99—221no—
338C2×#99—222no—
339#352—118no—
340AΣL(1,𝔽16)—118no—
341C22×C11—22no—
342C22×C11—22no—
343C22×C11—22no—
344C22×C11—21no—
345C22×C11—21no—
346C22×C11—22no—
347C22×C11—21no—
348C22×C11—22no—
349C22×C11—21no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—81no—
367C22×C11—81no—
368C22×C11—82no—
369C22×C11—82no—
370C22×C11—82no—
371C22×C11—82no—
372C22×C11—82no—
373C22×C11—82no—
374C22×C11C2×#9911yescharacteristic
375C22×C11C2×#9912yes—
376C22×C11C2×#9912yes—
377C22×C11C2×#9911yescharacteristic
378C22×C11C22×C22⋊C411yescharacteristic
379C2×D11—42no—
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—82no—
383C2×D11—84no—
384C2×D11—82no—
385C2×D11—84no—
386C4×C11—22no—
387C4×C11—21no—
388C4×C11—21no—
389Dic11—42no—
390Dic11—42no—
391Dic11—42no—
392Dic11—84no—
393C25—111no—
394C25C4×D1111yescharacteristic
395C25D4411yescharacteristic
396C22×D4—41no—
397C22×D4—41no—
398C22×D4—42no—
399C22×D4—114no—
400C22×D4—221no—
401C22×D4—222no—
402C22×D4—221no—
403C22×D4—221no—
404C22×D4—221no—
405C22×D4—442no—
406C22×D4—441no—
407C22×D4—441no—
408C22×D4C4×D1111yescharacteristic
409C22×D4C4×D1112yes—
410C22×D4D4411yescharacteristic
411C22×D4D4412yes—
412C22×D4C22⋊D1111yescharacteristic
413C22×D4C22⋊D1112yes—
414C22×D4C22×D1111yescharacteristic
415C22×D4C22×D1112yes—
416C23×C4—111no—
417C23×C4—221no—
418C23×C4—441no—
419C23×C4C22⋊D1111yescharacteristic
420C2×M16—22no—
421C2×M16—24no—
422C2×M16—42no—
423C2×M16—41no—
424C22×C8—41no—
425#123—112no—
426#123—114no—
427#123—112no—
428#123—222no—
429#123—221no—
430#123—221no—
431#123—224no—
432#123—224no—
433#121—224no—
434#121—224no—
435#121—224no—
436#121—224no—
437#120—112no—
438#120—114no—
439#120—112no—
440#120—224no—
441#120—224no—
442#120—222no—
443#120—221no—
444#120—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C22⋊C4—111no—
448C2×C22⋊C4—111no—
449C2×C22⋊C4—114no—
450C2×C22⋊C4—222no—
451C2×C22⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—222no—
457C2×C22⋊C4—224no—
458C2×C22⋊C4—442no—
459C2×C22⋊C4—441no—
460#100—22no—
461#100—24no—
462#100C22×D1114yes—
463#99—114no—
464#99—222no—
465#99—224no—
466C2×C11—21no—
467C2×C11—21no—
468C2×C11—22no—
469C2×C11—22no—
470C2×C11—41no—
471C2×C11—41no—
472C2×C11—41no—
473C2×C11—41no—
474C2×C11—42no—
475C2×C11—42no—
476C2×C11#212112yescomplemented
477C2×C11C22×#9911yescharacteristic
478D11—82no—
479C24—21no—
480C24—22no—
481C24—21no—
482C24—22no—
483C24—21no—
484C24—21no—
485C24—82no—
486C24—82no—
487C24—112no—
488C24—221no—
489C24—221no—
490C24—441no—
491C24—441no—
492C24—882no—
493C24(C2×D11)⋊C411yescharacteristic
494C24(C2×D11)⋊C411yescharacteristic
495C24(C2×D11)⋊C412yes—
496C24(C2×D11)⋊C412yes—
497C24(C2×D11)⋊C411yescharacteristic
498C24C2×C4×D1111yescharacteristic
499C24C2×C4×D1112yes—
500C24C2×D4411yescharacteristic
501C24C2×D4412yes—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—41no—
510C2×D4—42no—
511C2×D4—41no—
512C2×D4—42no—
513C2×D4—41no—
514C2×D4—42no—
515C2×D4—41no—
516C2×D4—42no—
517C2×D4—41no—
518C2×D4—224no—
519C2×D4—224no—
520C2×D4—222no—
521C2×D4—224no—
522C2×D4—222no—
523C2×D4—444no—
524C2×D4—444no—
525C2×D4—442no—
526C2×D4—442no—
527C2×D4—442no—
528C2×D4—441no—
529C2×D4—441no—
530C2×D4—444no—
531C2×D4—444no—
532C2×D4—882no—
533C2×D4—882no—
534C2×D4(C2×D11)⋊C412yes—
535C2×D4(C2×D11)⋊C412yes—
536C2×D4(C2×D11)⋊C412yes—
537C2×D4C2×C4×D1111yescharacteristic
538C2×D4C2×C4×D1112yes—
539C2×D4C2×D4411yescharacteristic
540C2×D4C2×D4412yes—
541C2×D4C2×C22⋊D1111yescharacteristic
542C2×D4C2×C22⋊D1112yes—
543C2×D4C23×D1111yescharacteristic
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—112no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—224no—
553C22×C4—441no—
554C22×C4—441no—
555C22×C4—444no—
556C22×C4—442no—
557C22×C4—882no—
558C22×C4—884no—
559C22×C4(C2×D11)⋊C411yescharacteristic
560C22×C4(C2×D11)⋊C412yes—
561C22×C4C2×C22⋊D1111yescharacteristic
562C22×C4C2×C22⋊D1112yes—
563M16—24no—
564M16—42no—
565M16—44no—
566C2×C8—44no—
567C2×C8—42no—
568C4⋊C4—224no—
569C4⋊C4—222no—
570C4⋊C4—222no—
571C22⋊C4—112no—
572C22⋊C4—112no—
573C22⋊C4—221no—
574C22⋊C4—221no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—222no—
578C22⋊C4—222no—
579C22⋊C4—224no—
580C22⋊C4—222no—
581C22⋊C4—222no—
582C22⋊C4—224no—
583C22⋊C4—442no—
584C22⋊C4—444no—
585C11C2×#212111yescharacteristic, complemented, Sylow
586C23—22no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—22no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—82no—
609C23—82no—
610C23—82no—
611C23—82no—
612C23—82no—
613C23—82no—
614C23—82no—
615C23—84no—
616C23—84no—
617C23—222no—
618C23—442no—
619C23—442no—
620C23—442no—
621C23—442no—
622C23—441no—
623C23—441no—
624C23—882no—
625C23—882no—
626C23—884no—
627C23—884no—
628C23#6687011yescharacteristic
629C23#6687011yescharacteristic
630C23#6687012yes—
631C23C2×(C2×D11)⋊C411yescharacteristic
632C23C2×(C2×D11)⋊C411yescharacteristic
633C23C2×(C2×D11)⋊C412yes—
634C23C2×(C2×D11)⋊C411yescharacteristic
635C23C2×(C2×D11)⋊C412yes—
636C23C2×(C2×D11)⋊C412yes—
637C23C22×C4×D1111yescharacteristic
638C23C22×D4411yescharacteristic
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—41no—
644D4—41no—
645D4—42no—
646D4—41no—
647D4—42no—
648D4—41no—
649D4—448no—
650D4—444no—
651D4—444no—
652D4—884no—
653D4—882no—
654D4—882no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—442no—
672C2×C4—444no—
673C2×C4—884no—
674C2×C4—888no—
675C2×C4—884no—
676C2×C4C2×(C2×D11)⋊C412yes—
677C2×C4C2×(C2×D11)⋊C411yescharacteristic
678C2×C4C22×C22⋊D1111yescharacteristic
679C8—44no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—21no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—442no—
714C22—442no—
715C22—442no—
716C22—882no—
717C22—884no—
718C22—884no—
719C22—882no—
720C22C2×#6687011yescharacteristic
721C22C2×#6687012yes—
722C22C2×#6687012yes—
723C22C2×#6687011yescharacteristic
724C22C22×(C2×D11)⋊C411yescharacteristic
725C4—21no—
726C4—22no—
727C4—21no—
728C4—442no—
729C4—442no—
730C4—442no—
731C4—884no—
732C2—21no—
733C2—21no—
734C2—22no—
735C2—22no—
736C2—41no—
737C2—42no—
738C2—41no—
739C2—41no—
740C2—41no—
741C2—42no—
742C2—882no—
743C2#1307026312yesdirect product factor
744C2C22×#6687011yescharacteristic
subgroupG/H
centerC22C2×#66870
commutatorC23×C11C23×C4
FrattiniC2×D4C23×D11
FittingC22×C11×#100C2
socleC22×C11C2×#99
prime radicalC2×#10623335C2
cosocleC2×D4×C11C24
hypercenterC22×#100D11
hypocenterC11C2×#2121
LCSG ▷ C23×C11 ▷ C22×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ C22×#100

Complements

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

NH ≅ G/Ntype
2. C22×#66898C2semidirect
3. #13070263C2direct (N × H)
4. C2×#10622114C2semidirect
5. C2×#10622113C2semidirect
6. C22×C11×#100C2semidirect
8. C23×C22⋊D11C4semidirect
12. C22×C22⋊Dic11C4semidirect
15. #10623335C4semidirect
19. C2×#66990C4semidirect
21. C2×#66988C4semidirect
27. C2×C11×#100C22semidirect
31. C2×#66898C22semidirect
32. #10622114C22semidirect
33. #10622113C22semidirect
36. C24×D11C2×C4semidirect
57. C22×C22⋊D11C2×C4semidirect
60. C23×Dic11C2×C4semidirect
76. C2×C22⋊Dic11C2×C4semidirect
77. C2×C22⋊Dic11C2×C4semidirect
78. C2×C22⋊Dic11C2×C4semidirect
86. #66990C2×C4semidirect
87. #66990C2×C4semidirect
92. #66988C2×C4semidirect
93. #66988C2×C4semidirect
130. C23×D11C22×C4semidirect
191. C22×Dic11C22×C4semidirect
206. C22⋊Dic11C22×C4semidirect
207. C22⋊Dic11C22×C4semidirect
215. C22×#100D11semidirect
334. C2×#100C2×D11semidirect
476. C2×C11#2121semidirect
585. C11C2×#2121semidirect
743. C2#13070263direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106233352
C22×#668982
#130702632
C2×#106221142
C2×#106221132
C22×C11×#1002
C2×#212111