Finite Group Databasebeta

← C2×#13081521 #15634257

Subgroups — C2×#13081521 #15634257

Order 2816.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623253C211yesmaximal, characteristic, complemented
2C2×#10623070C211yesmaximal, characteristic
3#13081521C2116yesmaximal, direct product factor
4C2×#10622489C211yesmaximal, characteristic, complemented
5C2×#10622693C211yesmaximal, characteristic, complemented
6C2×#10622487C211yesmaximal, characteristic, complemented
7C2×#10622442C211yesmaximal, characteristic, complemented
8C2×#10622490C211yesmaximal, characteristic, complemented
9C2×#10622488C211yesmaximal, characteristic, complemented
10C2×#10622374C211yesmaximal, characteristic
11C2×#10622372C211yesmaximal, characteristic
12C2×#10622441C211yesmaximal, characteristic, complemented
13C2×#10622631C211yesmaximal, characteristic
14C2×#10622370C211yesmaximal, characteristic
15C2×#10622371C211yesmaximal, characteristic
16C2×C11×#474C211yesmaximal, characteristic
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66997—21no—
20C2×#66997—21no—
21C2×D4×Dic11C2211yescharacteristic
22C2×D4×Dic11C2211yescharacteristic
23C22×#4324C2211yescharacteristic
24C2×#66977—21no—
25C22×Dic11⋊C4—21no—
26#10623253—24no—
27#10623253C2218yescomplemented
28#10623070—24no—
29#10623070C2218yes—
30C2×#66943C2211yescharacteristic
31C2×#66941—21no—
32C2×#66941C2211yescharacteristic
33C2×#66941C2211yescharacteristic
34C2×#66941C2211yescharacteristic
35C2×#66940—21no—
36C2×#66940C2211yescharacteristic
37C2×#66940C2211yescharacteristic
38C2×#66931—21no—
39C2×#66931—21no—
40C2×#66923C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C11×#474C2218yes—
44C2×C11×#107C2211yescharacteristic
45C2×C11×#107C2211yescharacteristic
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×#102C2211yescharacteristic
48C2×C11×#102C2211yescharacteristic
49C2×#66896C2211yescharacteristic
50C2×#66882C2211yescharacteristic
51C2×#66881C2211yescharacteristic
52C2×#66880C2211yescharacteristic
53C2×#66880C2211yescharacteristic
54C2×#66879C2211yescharacteristic
55C2×Dic11⋊C8C2211yescharacteristic
56C2×Dic11⋊C8C2211yescharacteristic
57C2×C8×Dic11C2211yescharacteristic
58#10622693C2218yescomplemented
59#10622631C2218yes—
60C2×#66874C2211yescharacteristic
61C2×#66872C2211yescharacteristic
62C2×#66872C2211yescharacteristic
63C2×#66871C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×#66867C2211yescharacteristic
67#10622490C2218yescomplemented
68#10622489C2218yescomplemented
69#10622488C2218yescomplemented
70#10622487C2218yescomplemented
71#10622442C2218yescomplemented
72#10622441C2218yescomplemented
73#10622374C2218yes—
74#10622372C2218yes—
75#10622371C2218yes—
76#10622370C2218yes—
77C22×Q8×C11—21no—
78C22×D4×C11C2311yescharacteristic
79C23×C4×C11—21no—
80C23×Dic11—21no—
81C23×Dic11—21no—
82C22×Dic22—21no—
83C22×Dic22—21no—
84C22×Dic22—21no—
85C22×Dic22D411yescharacteristic
86C22×Dic22C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C11×C4⋊Q8—22no—
90C11×C4⋊Q8C2314yes—
91C4×D4×C11—22no—
92C4×D4×C11C2314yes—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C22⋊C4—21no—
98C2×C42×C11C2311yescharacteristic
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101#66997—28no—
102#66997—28no—
103D4×Dic11—22no—
104D4×Dic11—22no—
105D4×Dic11C2314yes—
106D4×Dic11C2314yes—
107C2×#4324Q818yescomplemented
108C2×#4324C2314yes—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11D411yescharacteristic
111C2×C4⋊Dic11C2311yescharacteristic
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2311yescharacteristic
114#66977—28no—
115C2×Dic11⋊C4—21no—
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—28no—
125C2×Dic11⋊C4D411yescharacteristic
126C2×Dic11⋊C4D411yescharacteristic
127C2×C4×Dic11—21no—
128C2×C4×Dic11—21no—
129C2×C4×Dic11—21no—
130C2×C4×Dic11C2311yescharacteristic
131C2×C4×Dic11C2311yescharacteristic
132C22×C11⋊C8C2311yescharacteristic
133C22×C11⋊C8C2311yescharacteristic
134#66943—22no—
135#66943C2314yes—
136#66941—28no—
137#66941—22no—
138#66941—22no—
139#66941—22no—
140#66941C2314yes—
141#66941C2314yes—
142#66941C2314yes—
143#66940—28no—
144#66940—22no—
145#66940—22no—
146#66940C2314yes—
147#66940C2314yes—
148#66931—28no—
149#66931—28no—
150#66923—22no—
151#66923C2314yes—
152C4×Dic22—22no—
153C4×Dic22D414yes—
154C4×Dic22C2314yes—
155C4×Dic22C2314yes—
156C11×#107C2314yes—
157C11×#107C2314yes—
158C11×C4⋊C8C2314yes—
159C11×#102C2314yes—
160C11×#102C2314yes—
161#66896C2314yes—
162#66882C2314yes—
163#66881C2314yes—
164#66880C2314yes—
165#66880C2314yes—
166#66879C2314yes—
167Dic11⋊C8C2314yes—
168Dic11⋊C8C2314yes—
169C8×Dic11C2314yes—
170#66874C2314yes—
171#66872C2314yes—
172#66872C2314yes—
173#66871C2314yes—
174#66871C2314yes—
175#66871C2314yes—
176#66867C2314yes—
177C2×#3385—111nomaximal, Sylow
178C24×C11—21no—
179C2×Q8×C11—24no—
180C2×Q8×C11—82no—
181C2×D4×C11—21no—
182C2×D4×C11—22no—
183C2×D4×C11C2×Q814yes—
184C2×D4×C11C2412yes—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—24no—
189C22×C4×C11—82no—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2411yescharacteristic
193C22×Dic11—24no—
194C22×Dic11—24no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11—44no—
200C22×Dic11—82no—
201C22×Dic11C2×D411yescharacteristic
202C22×Dic11C2×D411yescharacteristic
203C22×Dic11C2×D411yescharacteristic
204C22×Dic11C2×D411yescharacteristic
205C2×Dic22—24no—
206C2×Dic22—24no—
207C2×Dic22—24no—
208C2×Dic22—24no—
209C2×Dic22—21no—
210C2×Dic22—22no—
211C2×Dic22—82no—
212C2×Dic22—82no—
213C2×Dic22—82no—
214C2×Dic22C2×D414yes—
215C2×Dic22C2×Q814yes—
216C2×Dic22C2412yes—
217C2×C8×C11—22no—
218C2×C8×C11—22no—
219C2×C8×C11C2412yes—
220C2×C8×C11C2412yes—
221C11×C4⋊C4—24no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4C2412yes—
226C11×C4⋊C4C2412yes—
227C11×C4⋊C4C2412yes—
228C11×C22⋊C4—24no—
229C42×C11C2×D412yes—
230C42×C11C2412yes—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233#4324C2×Q8116yescomplemented
234C4⋊Dic11—24no—
235C4⋊Dic11—21no—
236C4⋊Dic11—21no—
237C4⋊Dic11—21no—
238C4⋊Dic11C2×D414yes—
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⋊C4—24no—
251Dic11⋊C4C2×D414yes—
252Dic11⋊C4C2×D414yes—
253C4×Dic11—24no—
254C4×Dic11—24no—
255C4×Dic11—24no—
256C4×Dic11C2×D412yes—
257C4×Dic11C2×D412yes—
258C4×Dic11C2412yes—
259C4×Dic11C2412yes—
260C2×C11⋊C8—22no—
261C2×C11⋊C8C2×Q814yes—
262C2×C11⋊C8C2412yes—
263C2×C11⋊C8C2412yes—
264C2×Q82—111no—
265C2×#554—111no—
266#3385—1116no—
267C2×#501—111no—
268C2×#501—111no—
269C2×#500—111no—
270C2×#479—111no—
271C2×#479—111no—
272C2×#477—111no—
273C2×#476—111no—
274C2×#474—111no—
275C2×#474D1111yescharacteristic
276C2×#446—111no—
277C2×#440—111no—
278C2×#440—111no—
279C2×C4×SD16—111no—
280C23×C11—24no—
281C23×C11—22no—
282C23×C11—42no—
283C23×C11—42no—
284C23×C11C22×D411yescharacteristic
285Q8×C11—84no—
286D4×C11—24no—
287D4×C11—22no—
288D4×C11C22×Q814yes—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—42no—
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—24no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—48no—
316C2×Dic11—84no—
317C2×Dic11#13714yes—
318C2×Dic11C22×D412yes—
319C2×Dic11C22×D412yes—
320C2×Dic11C22×D412yes—
321C2×Dic11C22×D412yes—
322Dic22—24no—
323Dic22—22no—
324Dic22—28no—
325Dic22—84no—
326Dic22—84no—
327Dic22—84no—
328Dic22C22×Q814yes—
329C8×C11—22no—
330C8×C11—22no—
331C11⋊C8—22no—
332C11⋊C8C22×Q814yes—
333C22×SD16—111no—
334Q82—118no—
335Q82—224no—
336#554—118no—
337#554—224no—
338C2×C4⋊Q8—111no—
339C2×C4⋊Q8—111no—
340C2×C4⋊Q8—111no—
341C2×C4⋊Q8—221no—
342C2×C4⋊Q8—221no—
343C2×C4⋊Q8—221no—
344C2×C4⋊Q8C2×D1111yescharacteristic
345C2×#125—111no—
346C2×#125—111no—
347C2×C22⋊Q8—221no—
348C2×C22⋊Q8—221no—
349C2×C22⋊Q8—221no—
350C2×C4×Q8—111no—
351C2×C4×Q8—111no—
352C2×C4×Q8—111no—
353C2×C4×Q8—111no—
354C2×C4×Q8—221no—
355C2×C4×D4—111no—
356C2×C4×D4—111no—
357C2×C4×D4C2×D1111yescharacteristic
358C22×C4⋊C4—221no—
359#501—118no—
360#501—118no—
361#500—118no—
362#479—118no—
363#479—118no—
364#477—118no—
365#476—118no—
366#474—118no—
367#474C2×D1118yes—
368#446—118no—
369#440—118no—
370#440—118no—
371C4×SD16—118no—
372C2×#107—111no—
373C2×#107—111no—
374C2×#107—111no—
375C2×#107—111no—
376C2×#107C2×D1111yescharacteristic
377C2×#107C2×D1111yescharacteristic
378C2×#106—111no—
379C2×#106—111no—
380C2×#106—111no—
381C2×C4⋊C8—111no—
382C2×C4⋊C8—111no—
383C2×C4⋊C8C2×D1111yescharacteristic
384C2×#103—111no—
385C2×#103—111no—
386C2×#103—111no—
387C2×#102—111no—
388C2×#102C2×D1111yescharacteristic
389C2×#102C2×D1111yescharacteristic
390C2×#97—111no—
391C2×#97—111no—
392C2×C4×C8—111no—
393C22×C11—24no—
394C22×C11—48no—
395C22×C11—42no—
396C22×C11—42no—
397C22×C11D4×Q812yes—
398C22×C11C2×#13712yes—
399C22×C11#57612yes—
400C22×C11C23×D411yescharacteristic
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—42no—
404C4×C11—42no—
405C4×C11—42no—
406C4×C11D4×Q812yes—
407C4×C11C23×Q811yescharacteristic
408C4×C11C2×2−1+411yescharacteristic
409Dic11—24no—
410Dic11—22no—
411Dic11—22no—
412Dic11—22no—
413Dic11—42no—
414Dic11—42no—
415Dic11—42no—
416Dic11C2×#13714yes—
417C22×Q8—21no—
418C22×Q8—111no—
419C22×Q8—111no—
420C22×Q8—221no—
421C22×Q8—221no—
422C22×Q8—221no—
423C22×D4C22×D1111yescharacteristic
424C23×C4—21no—
425C23×C4—221no—
426C23×C4—221no—
427C2×SD16—118no—
428C2×SD16—114no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8C22×D1111yescharacteristic
432C22×C8C22×D1111yescharacteristic
433C4⋊Q8—22no—
434C4⋊Q8—114no—
435C4⋊Q8—114no—
436C4⋊Q8—114no—
437C4⋊Q8—222no—
438C4⋊Q8—222no—
439C4⋊Q8—222no—
440C4⋊Q8—228no—
441C4⋊Q8—228no—
442C4⋊Q8—228no—
443C4⋊Q8C22×D1114yes—
444#125—114no—
445#125—114no—
446#125—222no—
447#125—222no—
448C22⋊Q8—228no—
449C22⋊Q8—228no—
450C22⋊Q8—228no—
451C4×Q8—114no—
452C4×Q8—114no—
453C4×Q8—114no—
454C4×Q8—114no—
455C4×Q8—114no—
456C4×Q8—222no—
457C4×Q8—222no—
458C4×Q8—228no—
459C4×Q8—222no—
460C4×D4—22no—
461C4×D4—114no—
462C4×D4—114no—
463C4×D4—222no—
464C4×D4—222no—
465C4×D4C22×D1114yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4—111no—
469C2×C4⋊C4—111no—
470C2×C4⋊C4—111no—
471C2×C4⋊C4—111no—
472C2×C4⋊C4—111no—
473C2×C4⋊C4—228no—
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⋊C4—221no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4—221no—
484C2×C4⋊C4C22×D1111yescharacteristic
485C2×C4⋊C4C22×D1111yescharacteristic
486C2×C4⋊C4C22×D1111yescharacteristic
487C2×C22⋊C4—21no—
488C2×C22⋊C4—221no—
489C2×C22⋊C4—221no—
490C2×C42—111no—
491C2×C42—111no—
492C2×C42—221no—
493C2×C42—221no—
494C2×C42—221no—
495C2×C42C22×D1111yescharacteristic
496#107—114no—
497#107—114no—
498#107—114no—
499#107—114no—
500#107C22×D1114yes—
501#107C22×D1114yes—
502#106—114no—
503#106—114no—
504#106—114no—
505C4⋊C8—114no—
506C4⋊C8—114no—
507C4⋊C8C22×D1114yes—
508#103—114no—
509#103—114no—
510#103—114no—
511#102—114no—
512#102C22×D1114yes—
513#102C22×D1114yes—
514#97—114no—
515#97—114no—
516C4×C8—114no—
517C2×C11—44no—
518C2×C11#338514yescomplemented
519C2×C11C2×D4×Q811yescharacteristic
520C2×C11C22×#13711yescharacteristic
521C2×C11C2×#57611yescharacteristic
522C24—21no—
523C2×Q8—24no—
524C2×Q8—82no—
525C2×Q8—114no—
526C2×Q8—114no—
527C2×Q8—112no—
528C2×Q8—224no—
529C2×Q8—224no—
530C2×Q8—224no—
531C2×Q8—224no—
532C2×Q8—221no—
533C2×Q8—222no—
534C2×Q8—882no—
535C2×Q8—882no—
536C2×Q8—882no—
537C2×D4—21no—
538C2×D4—22no—
539C2×D4Q8×D1114yes—
540C2×D4C23×D1112yes—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—24no—
545C22×C4—82no—
546C22×C4—111no—
547C22×C4—111no—
548C22×C4—111no—
549C22×C4—111no—
550C22×C4—224no—
551C22×C4—224no—
552C22×C4—221no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—444no—
557C22×C4—882no—
558C22×C4D4×D1111yescharacteristic
559C22×C4D4×D1111yescharacteristic
560C22×C4C23×D1111yescharacteristic
561SD16—1116no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—114no—
565C2×C8—112no—
566C2×C8—112no—
567C2×C8—222no—
568C2×C8C23×D1112yes—
569C2×C8C23×D1112yes—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—114no—
575C4⋊C4—114no—
576C4⋊C4—114no—
577C4⋊C4—112no—
578C4⋊C4—112no—
579C4⋊C4—112no—
580C4⋊C4—224no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—224no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4C23×D1112yes—
594C4⋊C4C23×D1112yes—
595C4⋊C4C23×D1112yes—
596C22⋊C4—24no—
597C22⋊C4—224no—
598C22⋊C4—224no—
599C42—112no—
600C42—112no—
601C42—112no—
602C42—112no—
603C42—224no—
604C42—224no—
605C42—224no—
606C42D4×D1112yes—
607C42C23×D1112yes—
608C11C2×#338511yescharacteristic, complemented, Sylow
609C23—24no—
610C23—22no—
611C23—42no—
612C23—42no—
613C23C2×D4×D1111yescharacteristic
614Q8—84no—
615Q8—114no—
616Q8—228no—
617Q8—224no—
618Q8—222no—
619Q8—884no—
620Q8—884no—
621Q8—884no—
622D4—24no—
623D4—22no—
624D4C2×Q8×D1114yes—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—84no—
634C2×C4—114no—
635C2×C4—112no—
636C2×C4—112no—
637C2×C4—112no—
638C2×C4—112no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—224no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—222no—
647C2×C4—448no—
648C2×C4—442no—
649C2×C4—442no—
650C2×C4—442no—
651C2×C4—884no—
652C2×C4C2×D4×D1112yes—
653C2×C4C2×D4×D1112yes—
654C2×C4C2×D4×D1111yescharacteristic
655C2×C4C2×Q8×D1112yes—
656C2×C4#6704312yes—
657C2×C4C24×D1111yescharacteristic
658C8—22no—
659C8—22no—
660C8—114no—
661C8—222no—
662C22—24no—
663C22—48no—
664C22—42no—
665C22—42no—
666C22#1062316312yes—
667C22#1062328812yes—
668C22D11×#13712yes—
669C22C22×D4×D1111yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—42no—
675C4—114no—
676C4—222no—
677C4—222no—
678C4—222no—
679C4—224no—
680C4—442no—
681C4—442no—
682C4—442no—
683C4#1062316312yes—
684C4C22×Q8×D1111yescharacteristic
685C4C2×#6704311yescharacteristic
686C2—44no—
687C2#1308152114yesdirect product factor
688C2C2×#1062316311yescharacteristic
689C2C2×D11×#13711yescharacteristic
690C2C2×#1062328811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#474C2
socleC23×C11C22×D4
prime radicalC22×D4×C11C23
hypercenterC2×#474D11
hypocenterC11C2×#3385
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#474

Complements

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

NH ≅ G/Ntype
1. C2×#10623253C2semidirect
3. #13081521C2direct (N × H)
4. C2×#10622489C2semidirect
5. C2×#10622693C2semidirect
6. C2×#10622487C2semidirect
7. C2×#10622442C2semidirect
8. C2×#10622490C2semidirect
9. C2×#10622488C2semidirect
12. C2×#10622441C2semidirect
27. #10623253C22semidirect
58. #10622693C22semidirect
67. #10622490C22semidirect
68. #10622489C22semidirect
69. #10622488C22semidirect
70. #10622487C22semidirect
71. #10622442C22semidirect
72. #10622441C22semidirect
107. C2×#4324Q8semidirect
233. #4324C2×Q8semidirect
518. C2×C11#3385semidirect
608. C11C2×#3385semidirect
687. C2#13081521direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232532
C2×#106230702
#130815212
C2×#106224892
C2×#106226932
C2×#106224872
C2×#106224422
C2×#106224902
C2×#106224882
C2×#106223742
C2×#106223722
C2×#106224412
C2×#106226312
C2×#106223702
C2×#106223712
C2×C11×#4742
C2×#338511