Finite Group Databasebeta

← C2×#13081557 #15634296

Subgroups — C2×#13081557 #15634296

Order 2816.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623100C211yesmaximal, characteristic, complemented
2C2×#10623070C211yesmaximal, characteristic
3#13081557C2116yesmaximal, direct product factor
4C2×#10622469C211yesmaximal, characteristic, complemented
5C2×#10622469C211yesmaximal, characteristic, complemented
6C2×#10622296C211yesmaximal, characteristic, complemented
7C2×#10622635C211yesmaximal, characteristic, complemented
8C2×#10622412C211yesmaximal, characteristic, complemented
9C2×#10622404C211yesmaximal, characteristic, complemented
10C2×#10622376C211yesmaximal, characteristic
11C2×#10622622C211yesmaximal, characteristic
12C2×#10622374C211yesmaximal, characteristic
13C2×#10622292C211yesmaximal, characteristic, complemented
14C2×#10622777C211yesmaximal, characteristic
15C2×#10622777C211yesmaximal, characteristic
16C2×C4×C11×SD16C211yesmaximal, characteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C2×Q8×Dic11C2211yescharacteristic
22C2×D4×Dic11C2211yescharacteristic
23C2×D4×Dic11C2211yescharacteristic
24C2×#66977—21no—
25C22×Dic11⋊C4—21no—
26#10623100—24no—
27#10623100C2218yescomplemented
28#10623070—24no—
29#10623070C2218yes—
30C2×#66943—21no—
31C2×#66943C2211yescharacteristic
32C2×#66943C2211yescharacteristic
33C2×#66941—21no—
34C2×#66941C2211yescharacteristic
35C2×#66941C2211yescharacteristic
36C2×#66931—21no—
37C2×#66931—21no—
38C2×#66923—21no—
39C2×#66923C2211yescharacteristic
40C2×#66923C2211yescharacteristic
41C2×C4×Dic22—21no—
42C2×C4×Dic22C2211yescharacteristic
43C4×C11×SD16C2218yes—
44C2×C11×#106C2211yescharacteristic
45C2×C11×#103C2211yescharacteristic
46C2×C11×#102C2211yescharacteristic
47C2×C4×C8×C11C2211yescharacteristic
48C2×#66899C2211yescharacteristic
49C2×#66899C2211yescharacteristic
50C2×#66896C2211yescharacteristic
51C2×#66896C2211yescharacteristic
52#10622777C2218yes—
53#10622777C2218yes—
54C2×#66882C2211yescharacteristic
55C2×#66882C2211yescharacteristic
56C2×#66881C2211yescharacteristic
57C2×#66881C2211yescharacteristic
58C2×#66879C2211yescharacteristic
59C2×#66879C2211yescharacteristic
60C2×Dic11⋊C8C2211yescharacteristic
61C2×Dic11⋊C8C2211yescharacteristic
62#10622635C2218yescomplemented
63#10622622C2218yes—
64C2×#66872C2211yescharacteristic
65C2×#66872C2211yescharacteristic
66C2×#66871C2211yescharacteristic
67C2×#66871C2211yescharacteristic
68C2×C4⋊(C11⋊C8)C2211yescharacteristic
69#10622469C2218yescomplemented
70#10622469C2218yescomplemented
71#10622412C2218yescomplemented
72#10622404C2218yescomplemented
73#10622376C2218yes—
74#10622374C2218yes—
75#10622296C2218yescomplemented
76#10622292C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×D4×C11C2311yescharacteristic
79C23×C4×C11—21no—
80C23×Dic11—21no—
81C23×Dic11—21no—
82C22×Dic22—21no—
83C22×Dic22—21no—
84C22×Dic22D411yescharacteristic
85C2×C11×SD16Q818yescomplemented
86C2×C11×SD16C2314yes—
87C22×C8×C11C2311yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C4×Q8×C11—22no—
90C4×Q8×C11C2314yes—
91C4×D4×C11—22no—
92C4×D4×C11C2314yes—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C22⋊C4—21no—
97C2×C42×C11—21no—
98C2×C42×C11C2311yescharacteristic
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101Q8×Dic11—22no—
102Q8×Dic11—22no—
103Q8×Dic11C2314yes—
104Q8×Dic11C2314yes—
105D4×Dic11—22no—
106D4×Dic11—22no—
107D4×Dic11C2314yes—
108D4×Dic11C2314yes—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11D411yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2311yescharacteristic
117C2×C4⋊Dic11C2311yescharacteristic
118#66977—28no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—21no—
125C2×Dic11⋊C4—21no—
126C2×Dic11⋊C4—21no—
127C2×Dic11⋊C4—28no—
128C2×Dic11⋊C4D411yescharacteristic
129C2×Dic11⋊C4D411yescharacteristic
130C2×C4×Dic11—21no—
131C2×C4×Dic11—21no—
132C2×C4×Dic11C2311yescharacteristic
133C2×C4×Dic11C2311yescharacteristic
134C22×C11⋊C8C2311yescharacteristic
135C22×C11⋊C8C2311yescharacteristic
136#66943—28no—
137#66943—22no—
138#66943—22no—
139#66943C2314yes—
140#66943C2314yes—
141#66941—28no—
142#66941—22no—
143#66941—22no—
144#66941C2314yes—
145#66941C2314yes—
146#66931—28no—
147#66931—28no—
148#66923—22no—
149#66923—22no—
150#66923—28no—
151#66923C2314yes—
152#66923C2314yes—
153C4×Dic22—28no—
154C4×Dic22D414yes—
155C4×Dic22C2314yes—
156C11×#106C2314yes—
157C11×#103C2314yes—
158C11×#102C2314yes—
159C4×C8×C11C2314yes—
160#66899C2314yes—
161#66899C2314yes—
162#66896C2314yes—
163#66896C2314yes—
164#66882C2314yes—
165#66882C2314yes—
166#66881C2314yes—
167#66881C2314yes—
168#66879C2314yes—
169#66879C2314yes—
170Dic11⋊C8C2314yes—
171Dic11⋊C8C2314yes—
172#66872C2314yes—
173#66872C2314yes—
174#66871C2314yes—
175#66871C2314yes—
176C4⋊(C11⋊C8)C2314yes—
177C2×#3388—111nomaximal, Sylow
178C24×C11—21no—
179C2×Q8×C11—21no—
180C2×Q8×C11—22no—
181C2×Q8×C11C2×Q814yes—
182C2×Q8×C11C2412yes—
183C2×D4×C11—21no—
184C2×D4×C11—22no—
185C2×D4×C11C2×Q814yes—
186C2×D4×C11C2412yes—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—24no—
191C22×C4×C11—82no—
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2411yescharacteristic
195C22×Dic11—24no—
196C22×Dic11—24no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11—21no—
200C22×Dic11—21no—
201C22×Dic11—44no—
202C22×Dic11—82no—
203C22×Dic11C2×D411yescharacteristic
204C22×Dic11C2×D411yescharacteristic
205C22×Dic11C2×D411yescharacteristic
206C22×Dic11C2×D411yescharacteristic
207C2×Dic22—24no—
208C2×Dic22—24no—
209C2×Dic22—42no—
210C2×Dic22—44no—
211C2×Dic22—82no—
212C2×Dic22C2×D414yes—
213C11×SD16C2×Q8116yescomplemented
214C2×C8×C11—22no—
215C2×C8×C11C2×Q814yes—
216C2×C8×C11C2412yes—
217C2×C8×C11C2412yes—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4C2412yes—
222C11×C4⋊C4C2412yes—
223C11×C22⋊C4—24no—
224C42×C11—24no—
225C42×C11C2×D412yes—
226C42×C11C2412yes—
227C22⋊Dic11—24no—
228C22⋊Dic11—24no—
229C4⋊Dic11—24no—
230C4⋊Dic11—24no—
231C4⋊Dic11—24no—
232C4⋊Dic11—24no—
233C4⋊Dic11—21no—
234C4⋊Dic11—21no—
235C4⋊Dic11—21no—
236C4⋊Dic11—21no—
237C4⋊Dic11C2×D414yes—
238C4⋊Dic11C2412yes—
239C4⋊Dic11C2412yes—
240C4⋊Dic11C2412yes—
241C4⋊Dic11C2412yes—
242Dic11⋊C4—24no—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—24no—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4C2×D414yes—
251Dic11⋊C4C2×D414yes—
252C4×Dic11—24no—
253C4×Dic11—24no—
254C4×Dic11C2×D412yes—
255C4×Dic11C2×D412yes—
256C4×Dic11C2412yes—
257C4×Dic11C2412yes—
258C2×C11⋊C8—22no—
259C2×C11⋊C8—22no—
260C2×C11⋊C8C2412yes—
261C2×C11⋊C8C2412yes—
262C2×#557—111no—
263C2×#554—111no—
264#3388—1116no—
265C2×#501—111no—
266C2×#501—111no—
267C2×#499—111no—
268C2×#479—111no—
269C2×#479—111no—
270C2×#475—111no—
271C2×#478—111no—
272C2×#478—111no—
273C2×#476—111no—
274C2×#446—111no—
275C2×#440—111no—
276C2×#440—111no—
277C2×C4×SD16D1111yescharacteristic
278C23×C11—24no—
279C23×C11—22no—
280C23×C11—42no—
281C23×C11—42no—
282C23×C11C22×D411yescharacteristic
283Q8×C11—24no—
284Q8×C11—22no—
285Q8×C11C22×Q814yes—
286D4×C11—24no—
287D4×C11—22no—
288D4×C11C22×Q814yes—
289C2×C4×C11—24no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11—84no—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C22×Q812yes—
302C2×C4×C112−1+412yes—
303C2×C4×C11C2511yescharacteristic
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—48no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—84no—
318C2×Dic11C22×D412yes—
319C2×Dic11C22×D412yes—
320C2×Dic11C22×D412yes—
321C2×Dic11C22×D412yes—
322Dic22—44no—
323Dic22—48no—
324Dic22—84no—
325C8×C11—22no—
326C8×C11C22×Q814yes—
327C11⋊C8—22no—
328C11⋊C8—22no—
329C22×SD16C2×D1111yescharacteristic
330#557—118no—
331#557—224no—
332#554—118no—
333#554—224no—
334C2×C4⋊Q8—111no—
335C2×C4⋊Q8—111no—
336C2×C4⋊Q8—221no—
337C2×#125—111no—
338C2×#125—111no—
339C2×#125—111no—
340C2×#125—111no—
341C2×#125—221no—
342C2×#125—221no—
343C2×C22⋊Q8—221no—
344C2×C22⋊Q8—221no—
345C2×C22⋊Q8—221no—
346C2×C4×Q8—111no—
347C2×C4×Q8—111no—
348C2×C4×Q8—111no—
349C2×C4×Q8—221no—
350C2×C4×Q8C2×D1111yescharacteristic
351C2×C4×D4—111no—
352C2×C4×D4—111no—
353C2×C4×D4C2×D1111yescharacteristic
354C22×C4⋊C4—221no—
355#501—118no—
356#501—118no—
357#499—118no—
358#479—118no—
359#479—118no—
360#478—118no—
361#478—118no—
362#476—118no—
363#475—118no—
364#446—118no—
365#440—118no—
366#440—118no—
367C4×SD16C2×D1118yes—
368C2×#107—111no—
369C2×#107—111no—
370C2×#107—111no—
371C2×#107—111no—
372C2×#106—111no—
373C2×#106—111no—
374C2×#106—111no—
375C2×#106—111no—
376C2×#106C2×D1111yescharacteristic
377C2×C4⋊C8—111no—
378C2×C4⋊C8—111no—
379C2×C4⋊C8—111no—
380C2×#103—111no—
381C2×#103—111no—
382C2×#103C2×D1111yescharacteristic
383C2×#102—111no—
384C2×#102—111no—
385C2×#102C2×D1111yescharacteristic
386C2×#97—111no—
387C2×#97—111no—
388C2×C4×C8C2×D1111yescharacteristic
389C22×C11—24no—
390C22×C11—48no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11D4×Q812yes—
394C22×C11#57512yes—
395C22×C11#57712yes—
396C22×C11C23×D411yescharacteristic
397C4×C11—24no—
398C4×C11—22no—
399C4×C11—22no—
400C4×C11—42no—
401C4×C11—42no—
402C4×C11D4×Q812yes—
403C4×C11C23×Q811yescharacteristic
404C4×C11C2×2−1+411yescharacteristic
405Dic11—22no—
406Dic11—22no—
407Dic11—22no—
408Dic11—22no—
409Dic11—42no—
410Dic11—42no—
411Dic11—42no—
412Dic11—42no—
413C22×Q8—111no—
414C22×Q8—221no—
415C22×Q8—221no—
416C22×Q8C22×D1111yescharacteristic
417C22×D4C22×D1111yescharacteristic
418C23×C4—21no—
419C23×C4—221no—
420C23×C4—221no—
421C2×SD16Dic2218yescomplemented
422C2×SD16C22×D1114yes—
423C22×C8—111no—
424C22×C8—111no—
425C22×C8C22×D1111yescharacteristic
426C22×C8C22×D1111yescharacteristic
427C4⋊Q8—114no—
428C4⋊Q8—114no—
429C4⋊Q8—222no—
430C4⋊Q8—222no—
431C4⋊Q8—228no—
432#125—114no—
433#125—114no—
434#125—114no—
435#125—114no—
436#125—228no—
437#125—222no—
438#125—222no—
439#125—228no—
440#125—222no—
441#125—222no—
442C22⋊Q8—228no—
443C22⋊Q8—228no—
444C22⋊Q8—228no—
445C4×Q8—22no—
446C4×Q8—114no—
447C4×Q8—114no—
448C4×Q8—114no—
449C4×Q8—114no—
450C4×Q8—228no—
451C4×Q8—222no—
452C4×Q8—222no—
453C4×Q8C22×D1114yes—
454C4×D4—22no—
455C4×D4—114no—
456C4×D4—114no—
457C4×D4—222no—
458C4×D4—222no—
459C4×D4C22×D1114yes—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4—228no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4—221no—
471C2×C4⋊C4—221no—
472C2×C4⋊C4—221no—
473C2×C4⋊C4—221no—
474C2×C4⋊C4—221no—
475C2×C4⋊C4—221no—
476C2×C4⋊C4—221no—
477C2×C4⋊C4—221no—
478C2×C4⋊C4—221no—
479C2×C4⋊C4—221no—
480C2×C4⋊C4—221no—
481C2×C4⋊C4C22×D1111yescharacteristic
482C2×C4⋊C4C22×D1111yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—221no—
485C2×C22⋊C4—221no—
486C2×C42—21no—
487C2×C42—111no—
488C2×C42—111no—
489C2×C42—221no—
490C2×C42—221no—
491C2×C42C22×D1111yescharacteristic
492#107—114no—
493#107—114no—
494#107—114no—
495#107—114no—
496#106—114no—
497#106—114no—
498#106—114no—
499#106—114no—
500#106C22×D1114yes—
501C4⋊C8—114no—
502C4⋊C8—114no—
503C4⋊C8—114no—
504#103—114no—
505#103—114no—
506#103C22×D1114yes—
507#102—114no—
508#102—114no—
509#102C22×D1114yes—
510#97—114no—
511#97—114no—
512C4×C8C22×D1114yes—
513C2×C11—44no—
514C2×C11#338814yescomplemented
515C2×C11C2×D4×Q811yescharacteristic
516C2×C11C2×#57511yescharacteristic
517C2×C11C2×#57711yescharacteristic
518C24—21no—
519C2×Q8—21no—
520C2×Q8—22no—
521C2×Q8—114no—
522C2×Q8—224no—
523C2×Q8—224no—
524C2×Q8—442no—
525C2×Q8—444no—
526C2×Q8—882no—
527C2×Q8C2×Dic2214yes—
528C2×Q8C23×D1112yes—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4C2×Dic2214yes—
532C2×D4C23×D1112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—82no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—224no—
543C22×C4—224no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—444no—
549C22×C4—882no—
550C22×C4D4×D1111yescharacteristic
551C22×C4D4×D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553SD16C2×Dic22116yescomplemented
554C2×C8—22no—
555C2×C8—112no—
556C2×C8—112no—
557C2×C8—222no—
558C2×C8—222no—
559C2×C8C2×Dic2214yes—
560C2×C8C23×D1112yes—
561C2×C8C23×D1112yes—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—114no—
566C4⋊C4—114no—
567C4⋊C4—114no—
568C4⋊C4—112no—
569C4⋊C4—112no—
570C4⋊C4—112no—
571C4⋊C4—112no—
572C4⋊C4—224no—
573C4⋊C4—224no—
574C4⋊C4—224no—
575C4⋊C4—224no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4—224no—
579C4⋊C4—224no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—224no—
588C4⋊C4C23×D1112yes—
589C4⋊C4C23×D1112yes—
590C22⋊C4—24no—
591C22⋊C4—224no—
592C22⋊C4—224no—
593C42—24no—
594C42—112no—
595C42—112no—
596C42—112no—
597C42—112no—
598C42—224no—
599C42—224no—
600C42D4×D1112yes—
601C42C23×D1112yes—
602C11C2×#338811yescharacteristic, complemented, Sylow
603C23—24no—
604C23—22no—
605C23—42no—
606C23—42no—
607C23C2×D4×D1111yescharacteristic
608Q8—24no—
609Q8—22no—
610Q8—444no—
611Q8—448no—
612Q8—884no—
613Q8C22×Dic2214yes—
614D4—24no—
615D4—22no—
616D4C22×Dic2214yes—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—84no—
626C2×C4—112no—
627C2×C4—112no—
628C2×C4—112no—
629C2×C4—112no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—448no—
639C2×C4—442no—
640C2×C4—442no—
641C2×C4—442no—
642C2×C4—442no—
643C2×C4—884no—
644C2×C4C22×Dic2212yes—
645C2×C4C2×D4×D1112yes—
646C2×C4C2×D4×D1112yes—
647C2×C4C2×D4×D1111yescharacteristic
648C2×C4#6704312yes—
649C2×C4C24×D1111yescharacteristic
650C8—22no—
651C8—222no—
652C8—222no—
653C8C22×Dic2214yes—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22D4×Dic2212yes—
659C22#1062329312yes—
660C22#1062329912yes—
661C22C22×D4×D1111yescharacteristic
662C4—22no—
663C4—24no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—222no—
668C4—222no—
669C4—222no—
670C4—222no—
671C4—442no—
672C4—442no—
673C4—442no—
674C4—442no—
675C4D4×Dic2212yes—
676C4C23×Dic2211yescharacteristic
677C4C2×#6704311yescharacteristic
678C2—44no—
679C2#1308155714yesdirect product factor
680C2C2×D4×Dic2211yescharacteristic
681C2C2×#1062329911yescharacteristic
682C2C2×#1062329311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C4×C11×SD16C2
socleC23×C11C22×D4
prime radicalC22×D4×C11C23
hypercenterC2×C4×SD16D11
hypocenterC11C2×#3388
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#10623100C2semidirect
3. #13081557C2direct (N × H)
4. C2×#10622469C2semidirect
5. C2×#10622469C2semidirect
6. C2×#10622296C2semidirect
7. C2×#10622635C2semidirect
8. C2×#10622412C2semidirect
9. C2×#10622404C2semidirect
13. C2×#10622292C2semidirect
27. #10623100C22semidirect
62. #10622635C22semidirect
69. #10622469C22semidirect
70. #10622469C22semidirect
71. #10622412C22semidirect
72. #10622404C22semidirect
75. #10622296C22semidirect
76. #10622292C22semidirect
85. C2×C11×SD16Q8semidirect
213. C11×SD16C2×Q8semidirect
421. C2×SD16Dic22semidirect
514. C2×C11#3388semidirect
553. SD16C2×Dic22semidirect
602. C11C2×#3388semidirect
679. C2#13081557direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231002
C2×#106230702
#130815572
C2×#106224692
C2×#106222962
C2×#106226352
C2×#106224122
C2×#106224042
C2×#106223762
C2×#106226222
C2×#106223742
C2×#106222922
C2×#106227772
C2×C4×C11×SD162
C2×#338811