Finite Group Databasebeta

← C2×#13081563 #15634302

Subgroups — C2×#13081563 #15634302

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×#10623098C211yesmaximal, characteristic, complemented
2C2×#10623110C211yesmaximal, characteristic
3#13081563C2116yesmaximal, direct product factor
4C2×#10622315C211yesmaximal, characteristic, complemented
5C2×#10622315C211yesmaximal, characteristic, complemented
6C2×#10622296C211yesmaximal, characteristic, complemented
7C2×#10622442C211yesmaximal, characteristic, complemented
8C2×#10622442C211yesmaximal, characteristic, complemented
9C2×#10622464C211yesmaximal, characteristic, complemented
10C2×#10622460C211yesmaximal, characteristic
11C2×#10622460C211yesmaximal, characteristic
12C2×#10622455C211yesmaximal, characteristic
13C2×#10622323C211yesmaximal, characteristic
14C2×#10622323C211yesmaximal, characteristic
15C2×C4×#4314C211yesmaximal, characteristic
16C2×C11×#446C211yesmaximal, characteristic, complemented
17C2×C4×Q8×C11C2211yescharacteristic
18C2×#66999—21no—
19C2×#66997—21no—
20C22×#4314C2211yescharacteristic
21#10623110—24no—
22#10623110C2218yes—
23#10623098—24no—
24#10623098C2218yescomplemented
25C2×#66949—21no—
26C2×#66949—21no—
27C2×C4⋊C4×D11—21no—
28C2×#66942—21no—
29C2×#66942—21no—
30C2×#66940—21no—
31C2×C4×D44C2211yescharacteristic
32C2×C4×D44C2211yescharacteristic
33C2×C4×D44C2211yescharacteristic
34C2×#66923C2211yescharacteristic
35C2×#66923C2211yescharacteristic
36C2×#66923C2211yescharacteristic
37C2×#66923C2211yescharacteristic
38C2×#66922C2211yescharacteristic
39C2×#66922C2211yescharacteristic
40C2×C4×Dic22C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C11×#446C2218yescomplemented
44C2×C11×C4⋊C8C2211yescharacteristic
45C2×C11×C4⋊C8C2211yescharacteristic
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×#97C2211yescharacteristic
48C2×C11×#97C2211yescharacteristic
49C2×C4×C8×C11C2211yescharacteristic
50C2×#66885C2211yescharacteristic
51C2×#66885C2211yescharacteristic
52C2×#66885C2211yescharacteristic
53C2×#66882C2211yescharacteristic
54C2×#66882C2211yescharacteristic
55C2×#66882C2211yescharacteristic
56C2×#66882C2211yescharacteristic
57C2×#66881C2211yescharacteristic
58C2×#66881C2211yescharacteristic
59C2×#66881C2211yescharacteristic
60C2×#66881C2211yescharacteristic
61C2×#66881C2211yescharacteristic
62C2×#66880C2211yescharacteristic
63C2×#66880C2211yescharacteristic
64C2×#66880C2211yescharacteristic
65#10622464C2218yescomplemented
66#10622460C2218yes—
67#10622460C2218yes—
68#10622455C2218yes—
69#10622442C2218yescomplemented
70#10622442C2218yescomplemented
71#10622323C2218yes—
72#10622323C2218yes—
73#10622315C2218yescomplemented
74#10622315C2218yescomplemented
75C4×#4314C2218yes—
76#10622296C2218yescomplemented
77C22×Q8×C11D411yescharacteristic
78C22×D44C2311yescharacteristic
79C22×C4×D11—21no—
80C22×C4×D11—21no—
81C22×C4×D11—21no—
82C22×Dic22—21no—
83C22×Dic22—21no—
84C22×Dic22C2311yescharacteristic
85C22×C8×C11C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C4×Q8×C11D414yes—
90C4×Q8×C11C2314yes—
91C2×C11×C4⋊C4D411yescharacteristic
92C2×C11×C4⋊C4D411yescharacteristic
93C2×C11×C4⋊C4D411yescharacteristic
94C2×C42×C11C2311yescharacteristic
95C2×C42×C11C2311yescharacteristic
96C2×C42×C11C2311yescharacteristic
97#66999—28no—
98#66997—28no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4—21no—
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11—21no—
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
109C2×C4⋊Dic11C2311yescharacteristic
110C2×Dic11⋊C4—21no—
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4—21no—
114C2×Dic11⋊C4—21no—
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×C4×Dic11—21no—
122C2×C4×Dic11—21no—
123C2×C4×Dic11—21no—
124C2×#4314Q818yescomplemented
125C2×#4314C2314yes—
126#66949—28no—
127#66949—28no—
128C4⋊C4×D11—28no—
129#66942—28no—
130#66942—28no—
131#66940—28no—
132C4×D44—22no—
133C4×D44—22no—
134C4×D44—22no—
135C4×D44C2314yes—
136C4×D44C2314yes—
137C4×D44C2314yes—
138#66923—22no—
139#66923—22no—
140#66923—22no—
141#66923—22no—
142#66923C2314yes—
143#66923C2314yes—
144#66923C2314yes—
145#66923C2314yes—
146#66922—22no—
147#66922—22no—
148#66922C2314yes—
149#66922C2314yes—
150C4×Dic22—22no—
151C4×Dic22—22no—
152C4×Dic22—22no—
153C4×Dic22C2314yes—
154C4×Dic22C2314yes—
155C4×Dic22C2314yes—
156C11×C4⋊C8C2314yes—
157C11×C4⋊C8C2314yes—
158C11×C4⋊C8C2314yes—
159C11×#97C2314yes—
160C11×#97C2314yes—
161C4×C8×C11C2314yes—
162#66885C2314yes—
163#66885C2314yes—
164#66885C2314yes—
165#66882C2314yes—
166#66882C2314yes—
167#66882C2314yes—
168#66882C2314yes—
169#66881C2314yes—
170#66881C2314yes—
171#66881C2314yes—
172#66881C2314yes—
173#66881C2314yes—
174#66880C2314yes—
175#66880C2314yes—
176#66880C2314yes—
177C2×#3388—111nomaximal, Sylow
178C23×D11—21no—
179C2×Q8×C11—42no—
180C2×Q8×C11C2×D414yes—
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2411yescharacteristic
188C22×Dic11—21no—
189C22×Dic11—21no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193C22×Dic11—21no—
194C22×Dic11—21no—
195C2×D44—21no—
196C2×D44—22no—
197C2×D44C2×Q814yes—
198C2×D44C2412yes—
199C2×C4×D11—24no—
200C2×C4×D11—24no—
201C2×C4×D11—24no—
202C2×C4×D11—44no—
203C2×C4×D11—82no—
204C2×C4×D11—82no—
205C2×Dic22—21no—
206C2×Dic22—24no—
207C2×Dic22—24no—
208C2×Dic22—22no—
209C2×Dic22—44no—
210C2×Dic22—82no—
211C2×Dic22C2×Q814yes—
212C2×Dic22C2412yes—
213C2×C8×C11—22no—
214C2×C8×C11—22no—
215C2×C8×C11—22no—
216C2×C8×C11C2×Q814yes—
217C2×C8×C11C2412yes—
218C2×C8×C11C2412yes—
219C2×C8×C11C2412yes—
220C2×C8×C11C2412yes—
221C11×C4⋊C4C2×D414yes—
222C11×C4⋊C4C2×D414yes—
223C11×C4⋊C4C2×D414yes—
224C42×C11C2×D412yes—
225C42×C11C2×D412yes—
226C42×C11C2×D412yes—
227C42×C11C2412yes—
228C42×C11C2412yes—
229C42×C11C2412yes—
230(C2×D11)⋊C4—24no—
231(C2×D11)⋊C4—24no—
232(C2×D11)⋊C4—24no—
233C4⋊Dic11—21no—
234C4⋊Dic11—21no—
235C4⋊Dic11—21no—
236C4⋊Dic11—21no—
237C4⋊Dic11—21no—
238C4⋊Dic11—24no—
239C4⋊Dic11—24no—
240C4⋊Dic11—21no—
241C4⋊Dic11C2412yes—
242C4⋊Dic11C2412yes—
243C4⋊Dic11C2412yes—
244C4⋊Dic11C2412yes—
245C4⋊Dic11C2412yes—
246C4⋊Dic11C2412yes—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4—24no—
258C4×Dic11—24no—
259C4×Dic11—24no—
260C4×Dic11—24no—
261#4314C2×Q8116yescomplemented
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×#446D1111yescharacteristic, complemented
275C2×#440—111no—
276C2×#440—111no—
277C2×C4×SD16—111no—
278C23×C11C22×D411yescharacteristic
279C22×D11—24no—
280C22×D11—22no—
281C22×D11—42no—
282C22×D11—42no—
283Q8×C11—44no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11C22×D412yes—
291C2×C4×C11C22×D412yes—
292C2×C4×C11C22×D412yes—
293C2×C4×C11C22×D412yes—
294C2×C4×C11C22×D412yes—
295C2×C4×C11C22×D412yes—
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×Q812yes—
298C2×C4×C112−1+412yes—
299C2×C4×C11C2511yescharacteristic
300C2×Dic11—24no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314D44—24no—
315D44—22no—
316D44C22×Q814yes—
317C4×D11—48no—
318C4×D11—84no—
319C4×D11—84no—
320Dic22—24no—
321Dic22—22no—
322Dic22—48no—
323Dic22—84no—
324Dic22C22×Q814yes—
325C8×C11—22no—
326C8×C11—22no—
327C8×C11—22no—
328C8×C11C22×Q814yes—
329C22×SD16—111no—
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×D4—111no—
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#446C2×D1118yescomplemented
365#440—118no—
366#440—118no—
367C4×SD16—118no—
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×#106—111no—
377C2×C4⋊C8C2×D1111yescharacteristic
378C2×C4⋊C8C2×D1111yescharacteristic
379C2×C4⋊C8C2×D1111yescharacteristic
380C2×#103—111no—
381C2×#103—111no—
382C2×#103—111no—
383C2×#102—111no—
384C2×#102—111no—
385C2×#102—111no—
386C2×#97C2×D1111yescharacteristic
387C2×#97C2×D1111yescharacteristic
388C2×C4×C8C2×D1111yescharacteristic
389C22×C11D4×Q812yes—
390C22×C11#57512yes—
391C22×C11#57712yes—
392C22×C11C23×D411yescharacteristic
393C2×D11—24no—
394C2×D11—48no—
395C2×D11—42no—
396C2×D11—42no—
397C4×C11—22no—
398C4×C11—22no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—22no—
403C4×C11D4×Q812yes—
404C4×C11C23×Q811yescharacteristic
405C4×C11C2×2−1+411yescharacteristic
406Dic11—24no—
407Dic11—42no—
408Dic11—42no—
409Dic11—42no—
410Dic11—42no—
411Dic11—42no—
412Dic11—42no—
413C22×Q8—111no—
414C22×Q8—221no—
415C22×Q8—221no—
416C22×Q8D4411yescharacteristic
417C22×D4—111no—
418C23×C4—221no—
419C23×C4—221no—
420C23×C4—221no—
421C2×SD16—118no—
422C2×SD16—114no—
423C22×C8C22×D1111yescharacteristic
424C22×C8C22×D1111yescharacteristic
425C22×C8C22×D1111yescharacteristic
426C22×C8C22×D1111yescharacteristic
427C4⋊Q8—114no—
428C4⋊Q8—114no—
429C4⋊Q8—228no—
430C4⋊Q8—222no—
431C4⋊Q8—222no—
432#125—114no—
433#125—114no—
434#125—114no—
435#125—114no—
436#125—228no—
437#125—228no—
438#125—222no—
439#125—222no—
440#125—222no—
441#125—222no—
442C22⋊Q8—228no—
443C22⋊Q8—228no—
444C22⋊Q8—228no—
445C4×Q8—114no—
446C4×Q8—114no—
447C4×Q8—114no—
448C4×Q8—228no—
449C4×Q8—222no—
450C4×Q8—222no—
451C4×Q8—222no—
452C4×Q8D4414yes—
453C4×Q8C22×D1114yes—
454C4×D4—114no—
455C4×D4—114no—
456C4×D4—114no—
457C4×D4—222no—
458C4×D4—222no—
459C4×D4—222no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4—221no—
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—228no—
480C2×C4⋊C4D4411yescharacteristic
481C2×C4⋊C4D4411yescharacteristic
482C2×C4⋊C4D4411yescharacteristic
483C2×C22⋊C4—221no—
484C2×C22⋊C4—221no—
485C2×C22⋊C4—221no—
486C2×C42—221no—
487C2×C42—221no—
488C2×C42—221no—
489C2×C42C22×D1111yescharacteristic
490C2×C42C22×D1111yescharacteristic
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#106—114no—
501C4⋊C8C22×D1114yes—
502C4⋊C8C22×D1114yes—
503C4⋊C8C22×D1114yes—
504#103—114no—
505#103—114no—
506#103—114no—
507#102—114no—
508#102—114no—
509#102—114no—
510#97C22×D1114yes—
511#97C22×D1114yes—
512C4×C8C22×D1114yes—
513C2×C11#338814yescomplemented
514C2×C11C2×D4×Q811yescharacteristic
515C2×C11C2×#57511yescharacteristic
516C2×C11C2×#57711yescharacteristic
517D11—44no—
518C24—221no—
519C2×Q8—42no—
520C2×Q8—114no—
521C2×Q8—112no—
522C2×Q8—221no—
523C2×Q8—224no—
524C2×Q8—224no—
525C2×Q8—222no—
526C2×Q8—444no—
527C2×Q8—882no—
528C2×Q8C2×D4414yes—
529C2×D4—114no—
530C2×D4—112no—
531C2×D4—221no—
532C2×D4—222no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—224no—
541C22×C4—224no—
542C22×C4—224no—
543C22×C4—444no—
544C22×C4—882no—
545C22×C4—882no—
546C22×C4C2×D4411yescharacteristic
547C22×C4C2×D4411yescharacteristic
548C22×C4C2×D4411yescharacteristic
549C22×C4C2×D4411yescharacteristic
550C22×C4C2×D4411yescharacteristic
551C22×C4C2×D4411yescharacteristic
552C22×C4C23×D1111yescharacteristic
553SD16—1116no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8Q8×D1114yes—
558C2×C8C23×D1112yes—
559C2×C8C23×D1112yes—
560C2×C8C23×D1112yes—
561C2×C8C23×D1112yes—
562C4⋊C4—112no—
563C4⋊C4—112no—
564C4⋊C4—112no—
565C4⋊C4—112no—
566C4⋊C4—112no—
567C4⋊C4—112no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—224no—
575C4⋊C4—224no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4—224no—
579C4⋊C4—224no—
580C4⋊C4—224no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4C2×D4414yes—
588C4⋊C4C2×D4414yes—
589C4⋊C4C2×D4414yes—
590C22⋊C4—224no—
591C22⋊C4—224no—
592C22⋊C4—224no—
593C42—224no—
594C42—224no—
595C42—224no—
596C42C2×D4412yes—
597C42C2×D4412yes—
598C42C2×D4412yes—
599C42C23×D1112yes—
600C42C23×D1112yes—
601C42C23×D1112yes—
602C11C2×#338811yescharacteristic, complemented, Sylow
603C23—224no—
604C23—222no—
605C23—442no—
606C23—442no—
607C23C22×D4411yescharacteristic
608Q8—44no—
609Q8—114no—
610Q8—224no—
611Q8—222no—
612Q8—448no—
613Q8—884no—
614D4—114no—
615D4—224no—
616D4—222no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—224no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—448no—
632C2×C4—442no—
633C2×C4—442no—
634C2×C4—442no—
635C2×C4—442no—
636C2×C4—442no—
637C2×C4—442no—
638C2×C4—884no—
639C2×C4—884no—
640C2×C4C22×D4412yes—
641C2×C4C22×D4412yes—
642C2×C4C22×D4412yes—
643C2×C4C22×D4412yes—
644C2×C4C22×D4412yes—
645C2×C4C22×D4412yes—
646C2×C4C22×D4411yescharacteristic
647C2×C4C2×Q8×D1112yes—
648C2×C4#6704312yes—
649C2×C4C24×D1111yescharacteristic
650C8—22no—
651C8—22no—
652C8—22no—
653C8C2×Q8×D1114yes—
654C22—224no—
655C22—448no—
656C22—442no—
657C22—442no—
658C22Q8×D4412yes—
659C22#1062327912yes—
660C22#1062328212yes—
661C22C23×D4411yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—224no—
669C4—442no—
670C4—442no—
671C4—442no—
672C4—442no—
673C4—442no—
674C4—442no—
675C4Q8×D4412yes—
676C4C22×Q8×D1111yescharacteristic
677C4C2×#6704311yescharacteristic
678C2—444no—
679C2#1308156314yesdirect product factor
680C2C2×Q8×D4411yescharacteristic
681C2C2×#1062327911yescharacteristic
682C2C2×#1062328211yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#446C2
socleC23×C11C22×D4
prime radicalC22×D44C23
hypercenterC2×#446D11
hypocenterC11C2×#3388
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#10623098C2semidirect
3. #13081563C2direct (N × H)
4. C2×#10622315C2semidirect
5. C2×#10622315C2semidirect
6. C2×#10622296C2semidirect
7. C2×#10622442C2semidirect
8. C2×#10622442C2semidirect
9. C2×#10622464C2semidirect
16. C2×C11×#446C2semidirect
24. #10623098C22semidirect
43. C11×#446C22semidirect
65. #10622464C22semidirect
69. #10622442C22semidirect
70. #10622442C22semidirect
73. #10622315C22semidirect
74. #10622315C22semidirect
76. #10622296C22semidirect
124. C2×#4314Q8semidirect
261. #4314C2×Q8semidirect
274. C2×#446D11semidirect
364. #446C2×D11semidirect
513. C2×C11#3388semidirect
602. C11C2×#3388semidirect
679. C2#13081563direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230982
C2×#106231102
#130815632
C2×#106223152
C2×#106222962
C2×#106224422
C2×#106224642
C2×#106224602
C2×#106224552
C2×#106223232
C2×C4×#43142
C2×C11×#4462
C2×#338811