Finite Group Databasebeta

← C2×#13079862 #15625955

Subgroups — C2×#13079862 #15625955

Order 2816.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623260C211yesmaximal, characteristic, complemented
2C2×#10623250C211yesmaximal, characteristic
3#13079862C2116yesmaximal, direct product factor
4C2×#10622693C211yesmaximal, characteristic, complemented
5C2×#10622296C211yesmaximal, characteristic, complemented
6C2×#10622684C211yesmaximal, characteristic, complemented
7C2×#10622390C211yesmaximal, characteristic, complemented
8C2×#10622392C211yesmaximal, characteristic, complemented
9C2×#10622397C211yesmaximal, characteristic, complemented
10C2×#10622387C211yesmaximal, characteristic, complemented
11C2×#10622376C211yesmaximal, characteristic, complemented
12C2×#10622379C211yesmaximal, characteristic, complemented
13C2×#10622374C211yesmaximal, characteristic, complemented
14C2×#10622372C211yesmaximal, characteristic, complemented
15C2×#10622303C211yesmaximal, characteristic, complemented
16C2×C11×#486C211yesmaximal, characteristic, complemented
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×#127C2211yescharacteristic
19C2×#66999—21no—
20C2×#66997—21no—
21C2×#66992—21no—
22C2×#66992—21no—
23C2×#66991C2211yescharacteristic
24C2×#66991C2211yescharacteristic
25C2×#66988—21no—
26C2×#66988—21no—
27C2×D4×Dic11C2211yescharacteristic
28C2×D4×Dic11C2211yescharacteristic
29#10623260—24no—
30#10623260C2218yescomplemented
31#10623250—24no—
32#10623250C2218yes—
33C2×#66949—21no—
34C2×#66945C2211yescharacteristic
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×#66943C2211yescharacteristic
37C2×#66942—21no—
38C2×#66941C2211yescharacteristic
39C2×#66925C2211yescharacteristic
40C2×#66923C2211yescharacteristic
41C2×#66923C2211yescharacteristic
42C11×#486C2218yescomplemented
43C2×C11×#102C2211yescharacteristic
44C2×C11×#102C2211yescharacteristic
45C2×C11×#102C2211yescharacteristic
46C2×C11×#102C2211yescharacteristic
47C2×C4×C8×C11C2211yescharacteristic
48C2×#66896C2211yescharacteristic
49C2×#66896C2211yescharacteristic
50C2×#66896C2211yescharacteristic
51C2×#66896C2211yescharacteristic
52C2×(C2×D11)⋊C8C2211yescharacteristic
53C2×(C2×D11)⋊C8C2211yescharacteristic
54C2×#66882C2211yescharacteristic
55C2×#66882C2211yescharacteristic
56C2×#66881C2211yescharacteristic
57C2×#66881C2211yescharacteristic
58C2×Dic11⋊C8C2211yescharacteristic
59C2×Dic11⋊C8C2211yescharacteristic
60#10622693C2218yescomplemented
61#10622684C2218yescomplemented
62C2×#66872C2211yescharacteristic
63C2×#66872C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×#66867C2211yescharacteristic
67#10622397C2218yescomplemented
68#10622392C2218yescomplemented
69#10622390C2218yescomplemented
70#10622387C2218yescomplemented
71#10622379C2218yescomplemented
72#10622376C2218yescomplemented
73#10622374C2218yescomplemented
74#10622372C2218yescomplemented
75#10622303C2218yescomplemented
76#10622296C2218yescomplemented
77C22×Q8×C11—21no—
78C22×D4×C11—21no—
79C22×D4×C11—21no—
80C22×D4×C11C2311yescharacteristic
81C22×D4×C11C2311yescharacteristic
82C22×C22⋊D11—21no—
83C22×C22⋊D11—21no—
84C23×Dic11—21no—
85C23×Dic11—21no—
86C22×C4×D11—21no—
87C22×C4×D11C2311yescharacteristic
88C22×Dic22—21no—
89C22×C8×C11C2311yescharacteristic
90C22×C8×C11C2311yescharacteristic
91C11×C4⋊Q8—22no—
92C11×C4⋊Q8C2314yes—
93C11×#127—22no—
94C11×#127C2314yes—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C42×C11C2311yescharacteristic
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103#66999—28no—
104#66997—28no—
105#66992—28no—
106#66992—28no—
107#66991—22no—
108#66991—22no—
109#66991C2314yes—
110#66991C2314yes—
111#66988—28no—
112#66988—28no—
113D4×Dic11—22no—
114D4×Dic11—22no—
115D4×Dic11C2314yes—
116D4×Dic11C2314yes—
117C2×(C2×D11)⋊C4—21no—
118C2×(C2×D11)⋊C4D411yescharacteristic
119C2×(C2×D11)⋊C4D411yescharacteristic
120C2×C4⋊Dic11—21no—
121C2×C4⋊Dic11C2311yescharacteristic
122C2×C4⋊Dic11C2311yescharacteristic
123C2×C4⋊Dic11C2311yescharacteristic
124C2×C4⋊Dic11C2311yescharacteristic
125C2×Dic11⋊C4—21no—
126C2×Dic11⋊C4—21no—
127C2×Dic11⋊C4—21no—
128C2×Dic11⋊C4—21no—
129C2×Dic11⋊C4—21no—
130C2×Dic11⋊C4—21no—
131C2×Dic11⋊C4—21no—
132C2×Dic11⋊C4D411yescharacteristic
133C2×Dic11⋊C4D411yescharacteristic
134C2×C4×Dic11—21no—
135C2×C4×Dic11C2311yescharacteristic
136C22×C11⋊C8C2311yescharacteristic
137C22×C11⋊C8C2311yescharacteristic
138#66949—28no—
139#66945—22no—
140#66945C2314yes—
141C4⋊C4×D11—22no—
142C4⋊C4×D11C2314yes—
143#66943—22no—
144#66943C2314yes—
145#66942—28no—
146#66941—22no—
147#66941C2314yes—
148#66925D414yes—
149#66925C2314yes—
150#66923—22no—
151#66923—22no—
152#66923C2314yes—
153#66923C2314yes—
154C11×#102C2314yes—
155C11×#102C2314yes—
156C11×#102C2314yes—
157C11×#102C2314yes—
158C4×C8×C11C2314yes—
159#66896C2314yes—
160#66896C2314yes—
161#66896C2314yes—
162#66896C2314yes—
163(C2×D11)⋊C8C2314yes—
164(C2×D11)⋊C8C2314yes—
165#66882C2314yes—
166#66882C2314yes—
167#66881C2314yes—
168#66881C2314yes—
169Dic11⋊C8C2314yes—
170Dic11⋊C8C2314yes—
171#66872C2314yes—
172#66872C2314yes—
173#66871C2314yes—
174#66871C2314yes—
175#66867C2314yes—
176C2×#3241—111nomaximal, Sylow
177C24×C11—21no—
178C24×C11—21no—
179C23×D11C2×D411yescharacteristic
180C2×Q8×C11—24no—
181C2×Q8×C11—82no—
182C2×D4×C11—21no—
183C2×D4×C11—21no—
184C2×D4×C11—24no—
185C2×D4×C11—24no—
186C2×D4×C11—22no—
187C2×D4×C11—22no—
188C2×D4×C11—22no—
189C2×D4×C11—22no—
190C2×D4×C11—82no—
191C2×D4×C11—82no—
192C2×D4×C11C2412yes—
193C2×D4×C11C2412yes—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2411yescharacteristic
199C2×C22⋊D11—24no—
200C2×C22⋊D11—24no—
201C2×C22⋊D11—82no—
202C2×C22⋊D11—82no—
203C22×Dic11—24no—
204C22×Dic11—24no—
205C22×Dic11—21no—
206C22×Dic11—21no—
207C22×Dic11—21no—
208C22×Dic11—21no—
209C22×Dic11—82no—
210C22×Dic11—82no—
211C22×Dic11C2×D411yescharacteristic
212C22×Dic11C2×D411yescharacteristic
213C22×Dic11C2×D411yescharacteristic
214C2×C4×D11—24no—
215C2×C4×D11—22no—
216C2×C4×D11—22no—
217C2×C4×D11—82no—
218C2×C4×D11C2×D412yes—
219C2×C4×D11C2412yes—
220C2×Dic22—24no—
221C2×Dic22—82no—
222C2×C8×C11—22no—
223C2×C8×C11—22no—
224C2×C8×C11C2412yes—
225C2×C8×C11C2412yes—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—24no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4C2412yes—
230C11×C4⋊C4C2412yes—
231C42×C11C2×D412yes—
232C42×C11C2412yes—
233C22⋊Dic11—24no—
234C22⋊Dic11—24no—
235C22⋊Dic11—24no—
236C22⋊Dic11—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4C2×D414yes—
239(C2×D11)⋊C4C2×D414yes—
240C4⋊Dic11—24no—
241C4⋊Dic11—21no—
242C4⋊Dic11—21no—
243C4⋊Dic11—21no—
244C4⋊Dic11—21no—
245C4⋊Dic11C2412yes—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2412yes—
248C4⋊Dic11C2412yes—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4C2×D414yes—
257Dic11⋊C4C2×D414yes—
258C4×Dic11—24no—
259C4×Dic11C2×D412yes—
260C4×Dic11C2412yes—
261C2×C11⋊C8—22no—
262C2×C11⋊C8—22no—
263C2×C11⋊C8C2412yes—
264C2×C11⋊C8C2412yes—
265C2×#544—111no—
266C2×#540—111no—
267#3241—1116no—
268C2×#501—111no—
269C2×#499—111no—
270C2×#490—111no—
271C2×#486D1111yescharacteristic, complemented
272C2×#481—111no—
273C2×#482—111no—
274C2×#482—111no—
275C2×#480—111no—
276C2×#478—111no—
277C2×#478—111no—
278C2×#476—111no—
279C2×#474—111no—
280C2×#433—111no—
281C23×C11—22no—
282C23×C11—22no—
283C23×C11—42no—
284C23×C11—42no—
285C23×C11—42no—
286C23×C11—42no—
287C23×C11—42no—
288C23×C11—42no—
289C23×C11C22×D411yescharacteristic
290C22×D11—22no—
291C22×D11—22no—
292C22×D11—22no—
293C22×D11C22×D412yes—
294Q8×C11—84no—
295D4×C11—22no—
296D4×C11—22no—
297D4×C11—22no—
298D4×C11—22no—
299D4×C11—42no—
300D4×C11—42no—
301D4×C11—84no—
302D4×C11—84no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—42no—
308C2×C4×C11—42no—
309C2×C4×C11C22×D412yes—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D411yescharacteristic
312C2×C4×C112−1+412yes—
313C2×C4×C112−1+412yes—
314C2×C4×C11C2511yescharacteristic
315C22⋊D11—84no—
316C22⋊D11—84no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328C2×Dic11—84no—
329C2×Dic11—84no—
330C2×Dic11C22×D412yes—
331C2×Dic11C22×D412yes—
332C2×Dic11C22×D412yes—
333C4×D11—24no—
334C4×D11—22no—
335C4×D11—22no—
336C4×D11—84no—
337Dic22—84no—
338C8×C11—22no—
339C8×C11—22no—
340C11⋊C8—22no—
341C11⋊C8—22no—
342#544—118no—
343#544—224no—
344#540—118no—
345#540—224no—
346C2×C4⋊Q8—111no—
347C2×C4⋊Q8—221no—
348C2×C4⋊Q8C2×D1111yescharacteristic
349C2×#127C2×D1111yescharacteristic
350C2×#125—111no—
351C2×#125—111no—
352C2×#125—111no—
353C2×#125—221no—
354C2×#123—221no—
355C2×#123—221no—
356C2×C22⋊Q8—221no—
357C2×C22⋊Q8—221no—
358C2×#121—111no—
359C2×#121—111no—
360C2×#121—221no—
361C2×#121—221no—
362C2×C4×D4—111no—
363C2×C4×D4—111no—
364C2×#117—111no—
365C2×#117—111no—
366C22×C4⋊C4—111no—
367#501—118no—
368#499—118no—
369#490—118no—
370#486C2×D1118yescomplemented
371#482—118no—
372#482—118no—
373#481—118no—
374#480—118no—
375#478—118no—
376#478—118no—
377#476—118no—
378#474—118no—
379#433—118no—
380C2×#107—111no—
381C2×#107—111no—
382C2×#107—111no—
383C2×#107—111no—
384C2×#106—111no—
385C2×#106—111no—
386C2×#106—111no—
387C2×#106—111no—
388C2×C4⋊C8—111no—
389C2×C4⋊C8—111no—
390C2×#102—111no—
391C2×#102—111no—
392C2×#102—111no—
393C2×#102—111no—
394C2×#102C2×D1111yescharacteristic
395C2×#102C2×D1111yescharacteristic
396C2×#102C2×D1111yescharacteristic
397C2×#102C2×D1111yescharacteristic
398C2×C22⋊C8—111no—
399C2×C22⋊C8—111no—
400C2×#97—111no—
401C2×C4×C8C2×D1111yescharacteristic
402C22×C11—42no—
403C22×C11—42no—
404C22×C11—42no—
405C22×C11—42no—
406C22×C11—42no—
407C22×C11—42no—
408C22×C11—84no—
409C22×C11—84no—
410C22×C11#53612yes—
411C22×C11#57612yes—
412C22×C11#57712yes—
413C22×C11C23×D411yescharacteristic
414C2×D11—22no—
415C2×D11—22no—
416C2×D11—22no—
417C2×D11—44no—
418C4×C11—22no—
419C4×C11—22no—
420C4×C11—42no—
421C4×C11—42no—
422C4×C11#53612yes—
423C4×C11C2×2−1+411yescharacteristic
424C4×C11C2×2−1+411yescharacteristic
425Dic11—22no—
426Dic11—22no—
427Dic11—22no—
428Dic11—42no—
429Dic11—42no—
430Dic11—42no—
431Dic11—42no—
432C22×Q8—21no—
433C22×Q8—221no—
434C22×D4—21no—
435C22×D4—21no—
436C22×D4—221no—
437C22×D4—221no—
438C22×D4C22×D1111yescharacteristic
439C22×D4C22×D1111yescharacteristic
440C23×C4—111no—
441C23×C4—221no—
442C23×C4—221no—
443C23×C4—221no—
444C22×C8—111no—
445C22×C8—111no—
446C22×C8C22×D1111yescharacteristic
447C22×C8C22×D1111yescharacteristic
448C4⋊Q8—22no—
449C4⋊Q8—114no—
450C4⋊Q8—222no—
451C4⋊Q8—228no—
452C4⋊Q8C22×D1114yes—
453#127—22no—
454#127C22×D1114yes—
455#125—114no—
456#125—114no—
457#125—114no—
458#125—222no—
459#125—228no—
460#125—222no—
461#125—222no—
462#123—228no—
463#123—228no—
464C22⋊Q8—228no—
465C22⋊Q8—228no—
466#121—114no—
467#121—114no—
468#121—228no—
469#121—228no—
470#121—222no—
471#121—222no—
472C4×D4—114no—
473C4×D4—114no—
474C4×D4—222no—
475C4×D4—222no—
476#117—114no—
477#117—114no—
478#117—114no—
479#117—222no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—111no—
482C2×C4⋊C4—111no—
483C2×C4⋊C4—111no—
484C2×C4⋊C4—111no—
485C2×C4⋊C4—111no—
486C2×C4⋊C4—111no—
487C2×C4⋊C4—114no—
488C2×C4⋊C4—222no—
489C2×C4⋊C4—221no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4—221no—
492C2×C4⋊C4—221no—
493C2×C4⋊C4—221no—
494C2×C4⋊C4—221no—
495C2×C4⋊C4—221no—
496C2×C4⋊C4—221no—
497C2×C4⋊C4C22×D1111yescharacteristic
498C2×C4⋊C4C22×D1111yescharacteristic
499C2×C22⋊C4—111no—
500C2×C22⋊C4—111no—
501C2×C22⋊C4—221no—
502C2×C22⋊C4—221no—
503C2×C22⋊C4—221no—
504C2×C22⋊C4—221no—
505C2×C22⋊C4—221no—
506C2×C42—111no—
507C2×C42—221no—
508C2×C42C22×D1111yescharacteristic
509#107—114no—
510#107—114no—
511#107—114no—
512#107—114no—
513#106—114no—
514#106—114no—
515#106—114no—
516#106—114no—
517C4⋊C8—114no—
518C4⋊C8—114no—
519#102—114no—
520#102—114no—
521#102—114no—
522#102—114no—
523#102C22×D1114yes—
524#102C22×D1114yes—
525#102C22×D1114yes—
526#102C22×D1114yes—
527C22⋊C8—114no—
528C22⋊C8—114no—
529#97—114no—
530C4×C8C22×D1114yes—
531C2×C11—82no—
532C2×C11—82no—
533C2×C11#324114yescomplemented
534C2×C11C2×#53611yescharacteristic
535C2×C11C2×#57611yescharacteristic
536C2×C11C2×#57711yescharacteristic
537D11—42no—
538C24—21no—
539C24—21no—
540C24—111no—
541C2×Q8—24no—
542C2×Q8—82no—
543C2×Q8—224no—
544C2×Q8—882no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—24no—
548C2×D4—24no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—224no—
556C2×D4—224no—
557C2×D4—882no—
558C2×D4—882no—
559C2×D4C23×D1112yes—
560C2×D4C23×D1112yes—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—111no—
564C22×C4—111no—
565C22×C4—111no—
566C22×C4—112no—
567C22×C4—112no—
568C22×C4—224no—
569C22×C4—224no—
570C22×C4—224no—
571C22×C4—222no—
572C22×C4—222no—
573C22×C4—221no—
574C22×C4—221no—
575C22×C4—221no—
576C22×C4—221no—
577C22×C4—882no—
578C22×C4—882no—
579C22×C4—882no—
580C22×C4D4×D1111yescharacteristic
581C22×C4D4×D1111yescharacteristic
582C22×C4C23×D1111yescharacteristic
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—112no—
586C2×C8—112no—
587C2×C8—222no—
588C2×C8—222no—
589C2×C8C23×D1112yes—
590C2×C8C23×D1112yes—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—114no—
595C4⋊C4—114no—
596C4⋊C4—112no—
597C4⋊C4—112no—
598C4⋊C4—112no—
599C4⋊C4—112no—
600C4⋊C4—224no—
601C4⋊C4—224no—
602C4⋊C4—224no—
603C4⋊C4—224no—
604C4⋊C4—221no—
605C4⋊C4—221no—
606C4⋊C4—221no—
607C4⋊C4—221no—
608C4⋊C4—224no—
609C4⋊C4—224no—
610C4⋊C4—224no—
611C4⋊C4—224no—
612C4⋊C4C23×D1112yes—
613C4⋊C4C23×D1112yes—
614C22⋊C4—114no—
615C22⋊C4—114no—
616C22⋊C4—224no—
617C22⋊C4—224no—
618C22⋊C4—224no—
619C22⋊C4—224no—
620C22⋊C4—224no—
621C42—112no—
622C42—112no—
623C42—224no—
624C42D4×D1112yes—
625C42C23×D1112yes—
626C11C2×#324111yescharacteristic, complemented, Sylow
627C23—22no—
628C23—22no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—112no—
636C23—222no—
637C23—222no—
638C23—222no—
639C23C2×D4×D1111yescharacteristic
640Q8—84no—
641Q8—884no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4—42no—
647D4—42no—
648D4—84no—
649D4—84no—
650D4—884no—
651D4—884no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—112no—
659C2×C4—112no—
660C2×C4—112no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—224no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—884no—
676C2×C4—884no—
677C2×C4—884no—
678C2×C4C2×D4×D1112yes—
679C2×C4C2×D4×D1112yes—
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4#6704312yes—
682C2×C4#6704312yes—
683C2×C4C24×D1111yescharacteristic
684C8—22no—
685C8—22no—
686C8—222no—
687C8—222no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—84no—
695C22—84no—
696C22—222no—
697C22—222no—
698C22—222no—
699C22—444no—
700C22#1062320612yes—
701C22#1062328812yes—
702C22#1062329312yes—
703C22C22×D4×D1111yescharacteristic
704C4—22no—
705C4—22no—
706C4—42no—
707C4—42no—
708C4—222no—
709C4—222no—
710C4—222no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4—442no—
715C4#1062320612yes—
716C4C2×#6704311yescharacteristic
717C4C2×#6704311yescharacteristic
718C2—82no—
719C2—82no—
720C2—442no—
721C2#1307986214yesdirect product factor
722C2C2×#1062320611yescharacteristic
723C2C2×#1062328811yescharacteristic
724C2C2×#1062329311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#486C2
socleC23×C11C22×D4
prime radicalC2×#10623250C2
hypercenterC2×#486D11
hypocenterC11C2×#3241
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#486

Complements

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

NH ≅ G/Ntype
1. C2×#10623260C2semidirect
3. #13079862C2direct (N × H)
4. C2×#10622693C2semidirect
5. C2×#10622296C2semidirect
6. C2×#10622684C2semidirect
7. C2×#10622390C2semidirect
8. C2×#10622392C2semidirect
9. C2×#10622397C2semidirect
10. C2×#10622387C2semidirect
11. C2×#10622376C2semidirect
12. C2×#10622379C2semidirect
13. C2×#10622374C2semidirect
14. C2×#10622372C2semidirect
15. C2×#10622303C2semidirect
16. C2×C11×#486C2semidirect
30. #10623260C22semidirect
42. C11×#486C22semidirect
60. #10622693C22semidirect
61. #10622684C22semidirect
67. #10622397C22semidirect
68. #10622392C22semidirect
69. #10622390C22semidirect
70. #10622387C22semidirect
71. #10622379C22semidirect
72. #10622376C22semidirect
73. #10622374C22semidirect
74. #10622372C22semidirect
75. #10622303C22semidirect
76. #10622296C22semidirect
271. C2×#486D11semidirect
370. #486C2×D11semidirect
533. C2×C11#3241semidirect
626. C11C2×#3241semidirect
721. C2#13079862direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232602
C2×#106232502
#130798622
C2×#106226932
C2×#106222962
C2×#106226842
C2×#106223902
C2×#106223922
C2×#106223972
C2×#106223872
C2×#106223762
C2×#106223792
C2×#106223742
C2×#106223722
C2×#106223032
C2×C11×#4862
C2×#324111