Finite Group Databasebeta

← C2×#13068714 #14753599

Subgroups — C2×#13068714 #14753599

Order 2816.

1606 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#117C211yesmaximal, characteristic
2C2×#10622739C211yesmaximal, characteristic
3C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic
4#13068714C218yesmaximal, direct product factor
5C2×#10622193C211yesmaximal, characteristic, complemented
6C2×#10622161C211yesmaximal, characteristic, complemented
7C2×#10622170C211yesmaximal, characteristic, complemented
8C2×C11×#339C211yesmaximal, characteristic, complemented
9C23×C4×D11C2211yescharacteristic
10C22×C11×M16C2211yescharacteristic
11C2×C11×#117C2211yescharacteristic
12C22×C42×C11C2211yescharacteristic
13C22×(C2×D11)⋊C4—21no—
14C2×#66979C2211yescharacteristic
15C22×C4×Dic11C2211yescharacteristic
16C22×#4318C2211yescharacteristic
17D11×#117—22no—
18D11×#117—22no—
19D11×#117C414yescomplemented
20D11×#117C2214yes—
21C2×#66945C411yescharacteristic, complemented
22C2×#66945C411yescharacteristic, complemented
23C2×C4⋊C4×D11C411yescharacteristic, complemented
24C2×C4⋊C4×D11C411yescharacteristic, complemented
25C2×C22⋊C4×D11—21no—
26C2×#66930—21no—
27C2×#66925—21no—
28C2×C42×D11—21no—
29C2×C11⋊#95—21no—
30#10622739—22no—
31#10622739C2214yes—
32C2×(C2×D11)⋊C8—21no—
33C2×(C2×D11)⋊C8—21no—
34C4×(C2×D11)⋊C4—22no—
35C4×(C2×D11)⋊C4C2214yes—
36C11×#339C2214yescomplemented
37#10622193C2214yescomplemented
38#10622170C2214yescomplemented
39#10622161C2214yescomplemented
40C24×D11D411yescharacteristic
41C23×C4×C11—21no—
42C23×C4×C11C2311yescharacteristic
43C23×Dic11—21no—
44C23×Dic11D411yescharacteristic
45C22×C4×D11—22no—
46C22×C4×D11—22no—
47C22×C4×D11—22no—
48C22×C4×D11—22no—
49C22×C4×D11—21no—
50C22×C4×D11—21no—
51C22×C4×D11C2×C411yescharacteristic
52C22×C4×D11C2×C411yescharacteristic
53C22×C4×D11C2×C412yes—
54C22×C4×D11D412yes—
55C22×C4×D11D411yescharacteristic
56C22×C4×D11D411yescharacteristic
57C22×C4×D11D412yes—
58C22×C4×D11C2312yes—
59C2×C11×M16—21no—
60C2×C11×M16—22no—
61C2×C11×M16—22no—
62C2×C11×M16C2312yes—
63C22×C8×C11—21no—
64C11×#117—21no—
65C11×#117—21no—
66C11×#117C2×C412yes—
67C11×#117C2312yes—
68C2×C11×C4⋊C4C2×C411yescharacteristic
69C2×C11×C4⋊C4C2×C411yescharacteristic
70C2×C11×C22⋊C4—21no—
71C2×C42×C11—21no—
72C2×C42×C11—22no—
73C2×C42×C11—22no—
74C2×C42×C11—21no—
75C2×C42×C11C2312yes—
76C2×C22⋊Dic11—21no—
77C2×(C2×D11)⋊C4—28no—
78C2×(C2×D11)⋊C4—21no—
79C2×(C2×D11)⋊C4—21no—
80C2×(C2×D11)⋊C4—24no—
81#66979—21no—
82#66979—21no—
83#66979C2×C412yes—
84#66979C2312yes—
85C2×C4⋊Dic11C2×C411yescharacteristic
86C2×C4⋊Dic11C2×C411yescharacteristic
87C2×Dic11⋊C4—21no—
88C2×Dic11⋊C4—21no—
89C2×C4×Dic11—21no—
90C2×C4×Dic11—21no—
91C2×C4×Dic11—21no—
92C2×C4×Dic11—22no—
93C2×C4×Dic11—22no—
94C2×C4×Dic11—21no—
95C2×C4×Dic11C2312yes—
96C2×#4318—21no—
97C2×#4318—22no—
98C2×#4318—22no—
99C2×#4318C2312yes—
100C22×C11⋊C8—21no—
101#66945—22no—
102#66945—22no—
103#66945C2×C414yescomplemented
104#66945C2×C414yescomplemented
105C4⋊C4×D11—22no—
106C4⋊C4×D11—22no—
107C4⋊C4×D11C2×C414yescomplemented
108C4⋊C4×D11C2×C414yescomplemented
109C22⋊C4×D11—24no—
110C22⋊C4×D11—24no—
111#66930—24no—
112#66930—24no—
113#66925—24no—
114#66925—24no—
115C42×D11—24no—
116C42×D11—24no—
117C11⋊#95—24no—
118(C2×D11)⋊C8—24no—
119(C2×D11)⋊C8—24no—
120C2×#1826—111nomaximal, Sylow
121C24×C11C2×D411yescharacteristic
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—24no—
125C23×D11—42no—
126C23×D11C22⋊C411yescharacteristic
127C23×D11C22⋊C412yes—
128C23×D11C22⋊C411yescharacteristic
129C23×D11C2×D412yes—
130C22×C4×C11—24no—
131C22×C4×C11—21no—
132C22×C4×C11—21no—
133C22×C4×C11—22no—
134C22×C4×C11—42no—
135C22×C4×C11—42no—
136C22×C4×C11C22×C411yescharacteristic
137C22×C4×C11C22×C411yescharacteristic
138C22×C4×C11C2×D411yescharacteristic
139C22×C4×C11C2×D411yescharacteristic
140C22×C4×C11C2×D411yescharacteristic
141C22×C4×C11#4112yes—
142C22×C4×C11#4112yes—
143C22×C4×C11#4112yes—
144C22×C4×C11#4112yes—
145C22×C4×C11C2411yescharacteristic
146C22×Dic11—24no—
147C22×Dic11—21no—
148C22×Dic11—21no—
149C22×Dic11—22no—
150C22×Dic11—22no—
151C22×Dic11—22no—
152C22×Dic11—42no—
153C22×Dic11—42no—
154C22×Dic11C22⋊C412yes—
155C22×Dic11C22⋊C411yescharacteristic
156C22×Dic11C22⋊C411yescharacteristic
157C22×Dic11C2×D412yes—
158C2×C4×D11—24no—
159C2×C4×D11—24no—
160C2×C4×D11—22no—
161C2×C4×D11—22no—
162C2×C4×D11—24no—
163C2×C4×D11—22no—
164C2×C4×D11—22no—
165C2×C4×D11—24no—
166C2×C4×D11—22no—
167C2×C4×D11—22no—
168C2×C4×D11—24no—
169C2×C4×D11—24no—
170C2×C4×D11—22no—
171C2×C4×D11—22no—
172C2×C4×D11—24no—
173C2×C4×D11—24no—
174C2×C4×D11—22no—
175C2×C4×D11—22no—
176C2×C4×D11—22no—
177C2×C4×D11—22no—
178C2×C4×D11—44no—
179C2×C4×D11—44no—
180C2×C4×D11C22⋊C412yes—
181C2×C4×D11C22⋊C412yes—
182C2×C4×D11C22⋊C412yes—
183C2×C4×D11C22⋊C412yes—
184C2×C4×D11C22×C412yes—
185C2×C4×D11C22×C412yes—
186C2×C4×D11C2×D412yes—
187C2×C4×D11C2×D412yes—
188C11×M16—22no—
189C11×M16—22no—
190C11×M16—42no—
191C2×C8×C11—22no—
192C2×C8×C11—42no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4C22×C412yes—
196C11×C4⋊C4C22×C412yes—
197C11×C22⋊C4—22no—
198C11×C22⋊C4—22no—
199C42×C11—22no—
200C42×C11—22no—
201C42×C11—22no—
202C42×C11—22no—
203C42×C11—42no—
204C22⋊Dic11—22no—
205C22⋊Dic11—22no—
206(C2×D11)⋊C4—216no—
207(C2×D11)⋊C4—24no—
208(C2×D11)⋊C4—24no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11C22×C412yes—
212C4⋊Dic11C22×C412yes—
213Dic11⋊C4—24no—
214Dic11⋊C4—24no—
215C4×Dic11—24no—
216C4×Dic11—24no—
217C4×Dic11—22no—
218C4×Dic11—22no—
219C4×Dic11—22no—
220C4×Dic11—22no—
221C4×Dic11—42no—
222#4318—22no—
223#4318—22no—
224#4318—42no—
225C2×C11⋊C8—22no—
226C2×C11⋊C8—42no—
227C22×#117—111no—
228C2×#407—111no—
229C2×C4×C22⋊C4—111no—
230#1826—118no—
231C2×#339—111no—
232C2×#339—111no—
233C2×#339—111no—
234C2×#339D1111yescharacteristic, complemented
235C23×C11—22no—
236C23×C11—22no—
237C23×C11C2×C22⋊C411yescharacteristic
238C23×C11C2×C22⋊C411yescharacteristic
239C23×C11#12312yes—
240C23×C11#12312yes—
241C23×C11C22×D411yescharacteristic
242C22×D11—22no—
243C22×D11—22no—
244C22×D11—22no—
245C22×D11—22no—
246C22×D11—24no—
247C22×D11—22no—
248C22×D11—22no—
249C22×D11—22no—
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—42no—
253C22×D11—42no—
254C22×D11—48no—
255C22×D11—48no—
256C22×D11#10414yes—
257C22×D11C2×C22⋊C412yes—
258C22×D11C2×C22⋊C412yes—
259C2×C4×C11—24no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—48no—
263C2×C4×C11—42no—
264C2×C4×C11—42no—
265C2×C4×C11—42no—
266C2×C4×C11—42no—
267C2×C4×C11C2×C22⋊C411yescharacteristic
268C2×C4×C11C2×C22⋊C411yescharacteristic
269C2×C4×C11#11712yes—
270C2×C4×C11#11712yes—
271C2×C4×C11#11712yes—
272C2×C4×C11#11712yes—
273C2×C4×C11#12312yes—
274C2×C4×C11#12312yes—
275C2×C4×C11#12312yes—
276C2×C4×C11#12312yes—
277C2×C4×C11#12312yes—
278C2×C4×C11#12312yes—
279C2×C4×C11C23×C411yescharacteristic
280C2×C4×C11C22×D411yescharacteristic
281C2×C4×C11C2×#4111yescharacteristic
282C2×C4×C11C2×#4111yescharacteristic
283C2×C4×C11C2×#4111yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×Dic11—22no—
286C2×Dic11—22no—
287C2×Dic11—24no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—24no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—48no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11—42no—
297C2×Dic11—42no—
298C2×Dic11C2×C22⋊C412yes—
299C2×Dic11C2×C22⋊C412yes—
300C4×D11—22no—
301C4×D11—22no—
302C4×D11—22no—
303C4×D11—22no—
304C4×D11—22no—
305C4×D11—22no—
306C4×D11—22no—
307C4×D11—22no—
308C4×D11—24no—
309C4×D11—24no—
310C4×D11—24no—
311C4×D11—24no—
312C4×D11—48no—
313C4×D11—48no—
314C8×C11—42no—
315C11⋊C8—42no—
316C24×C4—111no—
317C22×M16—111no—
318C22×M16C2×D1111yescharacteristic
319C2×#117—111no—
320C2×#117—114no—
321C2×#117—114no—
322C2×#117—111no—
323C2×#117—111no—
324C2×#117—221no—
325C2×#117—221no—
326C2×#117—222no—
327C2×#117—222no—
328C2×#117C2×D1111yescharacteristic
329C22×C4⋊C4—111no—
330C22×C4⋊C4—111no—
331C22×C22⋊C4—221no—
332C22×C22⋊C4—221no—
333C22×C42—111no—
334C22×C42—221no—
335C22×C42C2×D1111yescharacteristic
336#407—114no—
337#407—222no—
338C2×C22⋊C8—221no—
339C2×C22⋊C8—221no—
340C4×C22⋊C4—114no—
341C4×C22⋊C4—222no—
342C2×#95—221no—
343#339—114no—
344#339—114no—
345#339—114no—
346#339C2×D1114yescomplemented
347C22×C11—24no—
348C22×C11—24no—
349C22×C11—21no—
350C22×C11—21no—
351C22×C11—21no—
352C22×C11—21no—
353C22×C11#38112yes—
354C22×C11#38112yes—
355C22×C11C2×#10412yes—
356C22×C11#42112yes—
357C22×C11C22×C22⋊C411yescharacteristic
358C22×C11C2×#12311yescharacteristic
359C22×C11C2×#12311yescharacteristic
360C2×D11—28no—
361C2×D11—22no—
362C2×D11—22no—
363C2×D11—22no—
364C2×D11—22no—
365C2×D11—22no—
366C2×D11—44no—
367C2×D11—44no—
368C2×D11—48no—
369C2×D11—44no—
370C2×D11C2×#10414yes—
371C4×C11—44no—
372C4×C11—42no—
373C4×C11—42no—
374C4×C11#38112yes—
375C4×C11#38112yes—
376C4×C11C2×#11711yescharacteristic
377C4×C11C2×#11711yescharacteristic
378C4×C11C2×#12311yescharacteristic
379C4×C11C2×#12311yescharacteristic
380Dic11—22no—
381Dic11—22no—
382Dic11—44no—
383Dic11—42no—
384Dic11—42no—
385C25—111no—
386C23×C4—21no—
387C23×C4—111no—
388C23×C4—111no—
389C23×C4—111no—
390C23×C4—112no—
391C23×C4—112no—
392C23×C4—112no—
393C23×C4—111no—
394C23×C4—111no—
395C23×C4—112no—
396C23×C4—221no—
397C23×C4—221no—
398C23×C4—222no—
399C23×C4—222no—
400C23×C4—222no—
401C23×C4—222no—
402C23×C4—221no—
403C23×C4C22×D1111yescharacteristic
404C2×M16—21no—
405C2×M16—22no—
406C2×M16—22no—
407C2×M16—112no—
408C2×M16—221no—
409C2×M16—222no—
410C2×M16—222no—
411C2×M16C22×D1112yes—
412C22×C8—21no—
413C22×C8—221no—
414#117—21no—
415#117—21no—
416#117—112no—
417#117—112no—
418#117—114no—
419#117—114no—
420#117—224no—
421#117—224no—
422#117—224no—
423#117—224no—
424#117—222no—
425#117—222no—
426#117—221no—
427#117—221no—
428#117C4×D1112yes—
429#117C22×D1112yes—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—114no—
433C2×C4⋊C4—114no—
434C2×C4⋊C4—222no—
435C2×C4⋊C4—222no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4C4×D1111yescharacteristic
439C2×C4⋊C4C4×D1111yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—221no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—228no—
447C2×C22⋊C4—221no—
448C2×C42—21no—
449C2×C42—22no—
450C2×C42—22no—
451C2×C42—21no—
452C2×C42—112no—
453C2×C42—224no—
454C2×C42—224no—
455C2×C42—221no—
456C2×C42—221no—
457C2×C42—221no—
458C2×C42—222no—
459C2×C42—222no—
460C2×C42—221no—
461C2×C42C22×D1112yes—
462C22⋊C8—224no—
463C22⋊C8—224no—
464#95—224no—
465C2×C11—21no—
466C2×C11—21no—
467C2×C11—22no—
468C2×C11#182614yescomplemented
469C2×C11C2×#38111yescharacteristic
470C2×C11C22×#10411yescharacteristic
471C2×C11C2×#42111yescharacteristic
472D11—24no—
473D11—42no—
474C24—111no—
475C24—111no—
476C24—112no—
477C24—112no—
478C24—224no—
479C24—222no—
480C24—222no—
481C24—442no—
482C24D4×D1111yescharacteristic
483C22×C4—24no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—111no—
490C22×C4—111no—
491C22×C4—112no—
492C22×C4—112no—
493C22×C4—112no—
494C22×C4—112no—
495C22×C4—112no—
496C22×C4—112no—
497C22×C4—112no—
498C22×C4—112no—
499C22×C4—112no—
500C22×C4—112no—
501C22×C4—224no—
502C22×C4—224no—
503C22×C4—222no—
504C22×C4—222no—
505C22×C4—222no—
506C22×C4—224no—
507C22×C4—222no—
508C22×C4—224no—
509C22×C4—222no—
510C22×C4—222no—
511C22×C4—224no—
512C22×C4—222no—
513C22×C4—224no—
514C22×C4—222no—
515C22×C4—224no—
516C22×C4—222no—
517C22×C4—222no—
518C22×C4—224no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4—224no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—222no—
527C22×C4—444no—
528C22×C4—444no—
529C22×C4—442no—
530C22×C4—442no—
531C22×C4C2×C4×D1111yescharacteristic
532C22×C4C2×C4×D1111yescharacteristic
533C22×C4#433912yes—
534C22×C4#433912yes—
535C22×C4D4×D1111yescharacteristic
536C22×C4D4×D1111yescharacteristic
537C22×C4D4×D1111yescharacteristic
538C22×C4#434112yes—
539C22×C4#434312yes—
540C22×C4C23×D1111yescharacteristic
541M16—22no—
542M16—22no—
543M16—42no—
544M16—222no—
545M16—222no—
546M16—442no—
547C2×C8—22no—
548C2×C8—42no—
549C2×C8—222no—
550C2×C8—442no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—112no—
554C4⋊C4—112no—
555C4⋊C4—224no—
556C4⋊C4—224no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C4⋊C4C2×C4×D1112yes—
560C4⋊C4C2×C4×D1112yes—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—224no—
564C22⋊C4—224no—
565C22⋊C4—2216no—
566C22⋊C4—222no—
567C22⋊C4—222no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—42no—
573C42—224no—
574C42—224no—
575C42—222no—
576C42—222no—
577C42—222no—
578C42—222no—
579C42—442no—
580C11C2×#182611yescharacteristic, complemented, Sylow
581C23—22no—
582C23—22no—
583C23—112no—
584C23—114no—
585C23—112no—
586C23—224no—
587C23—224no—
588C23—222no—
589C23—222no—
590C23—222no—
591C23—222no—
592C23—224no—
593C23—222no—
594C23—222no—
595C23—222no—
596C23—442no—
597C23—442no—
598C23—448no—
599C23—448no—
600C23C22⋊C4×D1111yescharacteristic
601C23C22⋊C4×D1111yescharacteristic
602C23#6693612yes—
603C23#6694712yes—
604C23C2×D4×D1111yescharacteristic
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—42no—
609C2×C4—48no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—112no—
614C2×C4—112no—
615C2×C4—222no—
616C2×C4—222no—
617C2×C4—224no—
618C2×C4—222no—
619C2×C4—222no—
620C2×C4—222no—
621C2×C4—222no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—224no—
631C2×C4—224no—
632C2×C4—224no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—448no—
636C2×C4—448no—
637C2×C4—442no—
638C2×C4—448no—
639C2×C4—442no—
640C2×C4—442no—
641C2×C4—442no—
642C2×C4#6692512yes—
643C2×C4#6692512yes—
644C2×C4C22⋊C4×D1111yescharacteristic
645C2×C4C22⋊C4×D1111yescharacteristic
646C2×C4#6693612yes—
647C2×C4#6693612yes—
648C2×C4#6693612yes—
649C2×C4#6694512yes—
650C2×C4#6694512yes—
651C2×C4#6694712yes—
652C2×C4#6694712yes—
653C2×C4#6694712yes—
654C2×C4C22×C4×D1111yescharacteristic
655C2×C4C2×#433911yescharacteristic
656C2×C4C2×#433911yescharacteristic
657C2×C4C2×D4×D1111yescharacteristic
658C2×C4C2×#434111yescharacteristic
659C2×C4C2×#434311yescharacteristic
660C8—42no—
661C8—442no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—24no—
667C22—24no—
668C22—114no—
669C22—222no—
670C22—222no—
671C22—228no—
672C22—222no—
673C22—222no—
674C22—222no—
675C22—444no—
676C22—444no—
677C22—448no—
678C22—444no—
679C22#1062227712yes—
680C22#1062227712yes—
681C22D11×#10412yes—
682C22#1062243412yes—
683C22C2×C22⋊C4×D1111yescharacteristic
684C22C2×#6693611yescharacteristic
685C22C2×#6694711yescharacteristic
686C4—44no—
687C4—42no—
688C4—42no—
689C4—222no—
690C4—222no—
691C4—444no—
692C4—442no—
693C4—442no—
694C4#1062227712yes—
695C4#1062227712yes—
696C4C2×#6692511yescharacteristic
697C4C2×#6693611yescharacteristic
698C4C2×#6694511yescharacteristic
699C4C2×#6694711yescharacteristic
700C2—21no—
701C2—21no—
702C2—22no—
703C2—224no—
704C2—442no—
705C2#1306871414yesdirect product factor
706C2C2×#1062227711yescharacteristic
707C2C2×D11×#10411yescharacteristic
708C2C2×#1062243411yescharacteristic
subgroupG/H
centerC22×C4D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#339C2
socleC23×C11C2×C22⋊C4
prime radicalC24×D11D4
cosocleC22×C4×C11C24
hypercenterC2×#339D11
hypocenterC11C2×#1826
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
4. #13068714C2direct (N × H)
5. C2×#10622193C2semidirect
6. C2×#10622161C2semidirect
7. C2×#10622170C2semidirect
8. C2×C11×#339C2semidirect
19. D11×#117C4semidirect
21. C2×#66945C4semidirect
22. C2×#66945C4semidirect
23. C2×C4⋊C4×D11C4semidirect
24. C2×C4⋊C4×D11C4semidirect
36. C11×#339C22semidirect
37. #10622193C22semidirect
38. #10622170C22semidirect
39. #10622161C22semidirect
103. #66945C2×C4semidirect
104. #66945C2×C4semidirect
107. C4⋊C4×D11C2×C4semidirect
108. C4⋊C4×D11C2×C4semidirect
234. C2×#339D11semidirect
346. #339C2×D11semidirect
468. C2×C11#1826semidirect
580. C11C2×#1826semidirect
705. C2#13068714direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D11×#1172
C2×#106227392
C2×C4×(C2×D11)⋊C42
#130687142
C2×#106221932
C2×#106221612
C2×#106221702
C2×C11×#3392
C2×#182611