Finite Group Databasebeta

← C2×#13079884 #15625978

Subgroups — C2×#13079884 #15625978

Order 2816.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623049C211yesmaximal, characteristic
2#13079884C2116yesmaximal, direct product factor
3C2×#10622693C211yesmaximal, characteristic, complemented
4C2×#10622677C211yesmaximal, characteristic, complemented
5C2×#10622682C211yesmaximal, characteristic, complemented
6C2×#10622706C211yesmaximal, characteristic, complemented
7C2×#10622583C211yesmaximal, characteristic
8C2×#10622609C211yesmaximal, characteristic
9C2×#10622609C211yesmaximal, characteristic
10C2×#10622584C211yesmaximal, characteristic
11C2×#10622676C211yesmaximal, characteristic, complemented
12C2×#10622676C211yesmaximal, characteristic, complemented
13C2×#10622704C211yesmaximal, characteristic, complemented
14C2×#10622707C211yesmaximal, characteristic, complemented
15C2×#10622613C211yesmaximal, characteristic
16C2×C11×#544C211yesmaximal, characteristic
17C11×#544—24no—
18C11×#544C2218yes—
19C2×C11×C4⋊Q8—21no—
20C2×C11×C4⋊Q8C2211yescharacteristic
21C2×C11×C4⋊Q8C2211yescharacteristic
22C2×C11×#125—21no—
23C2×C11×#125C2211yescharacteristic
24C2×C11×#125C2211yescharacteristic
25C2×C11×C22⋊Q8—21no—
26C2×C11×C22⋊Q8—21no—
27C2×C11×#117C2211yescharacteristic
28C2×C11×#117C2211yescharacteristic
29C22×C11×C4⋊C4C2211yescharacteristic
30C2×#66977C2211yescharacteristic
31C2×#66977C2211yescharacteristic
32#10623049—24no—
33#10623049C2218yes—
34C2×#66942—21no—
35C2×#66942—21no—
36C2×#66932—21no—
37C2×#66932—21no—
38C2×#66923C2211yescharacteristic
39C2×#66922C2211yescharacteristic
40C2×C4×Dic22C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42C2×C22⋊(C11⋊C8)C2211yescharacteristic
43C2×C22⋊(C11⋊C8)C2211yescharacteristic
44#10622707C2218yescomplemented
45#10622706C2218yescomplemented
46#10622704C2218yescomplemented
47#10622693C2218yescomplemented
48#10622682C2218yescomplemented
49#10622677C2218yescomplemented
50#10622676C2218yescomplemented
51#10622676C2218yescomplemented
52#10622613C2218yes—
53#10622609C2218yes—
54#10622609C2218yes—
55#10622584C2218yes—
56#10622583C2218yes—
57C2×#66874C2211yescharacteristic
58C2×#66874C2211yescharacteristic
59C2×#66874C2211yescharacteristic
60C2×#66874C2211yescharacteristic
61C2×#66874C2211yescharacteristic
62C2×#66874C2211yescharacteristic
63C2×#66874C2211yescharacteristic
64C2×#66874C2211yescharacteristic
65C2×#66872C2211yescharacteristic
66C2×#66872C2211yescharacteristic
67C2×#66872C2211yescharacteristic
68C2×#66872C2211yescharacteristic
69C2×#66871C2211yescharacteristic
70C2×#66871C2211yescharacteristic
71C2×#66871C2211yescharacteristic
72C2×#66871C2211yescharacteristic
73C2×C4⋊(C11⋊C8)C2211yescharacteristic
74C2×C4⋊(C11⋊C8)C2211yescharacteristic
75C2×#66867C2211yescharacteristic
76C2×C4×C11⋊C8C2211yescharacteristic
77C22×Q8×C11—21no—
78C22×Q8×C11—21no—
79C23×C4×C11—21no—
80C23×C4×C11C2311yescharacteristic
81C22×Dic22C2311yescharacteristic
82C22×Dic22C2311yescharacteristic
83C11×C4⋊Q8—28no—
84C11×C4⋊Q8—22no—
85C11×C4⋊Q8—22no—
86C11×C4⋊Q8C2314yes—
87C11×C4⋊Q8C2314yes—
88C11×#125—28no—
89C11×#125—22no—
90C11×#125—22no—
91C11×#125C2314yes—
92C11×#125C2314yes—
93C11×C22⋊Q8—28no—
94C11×C22⋊Q8—28no—
95C11×#117—22no—
96C11×#117D414yes—
97C11×#117C2314yes—
98C11×#117C2314yes—
99C2×C11×C4⋊C4—21no—
100C2×C11×C4⋊C4—22no—
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4—21no—
103C2×C11×C4⋊C4—21no—
104C2×C11×C4⋊C4—21no—
105C2×C11×C4⋊C4—21no—
106C2×C11×C4⋊C4—21no—
107C2×C11×C4⋊C4D411yescharacteristic
108C2×C11×C4⋊C4D411yescharacteristic
109C2×C11×C4⋊C4C2311yescharacteristic
110C2×C11×C4⋊C4C2311yescharacteristic
111C2×C11×C4⋊C4C2311yescharacteristic
112C2×C11×C4⋊C4C2311yescharacteristic
113C2×C11×C4⋊C4C2314yes—
114C2×C11×C22⋊C4—21no—
115C2×C11×C22⋊C4D411yescharacteristic
116C2×C11×C22⋊C4D411yescharacteristic
117C2×C42×C11—21no—
118C2×C42×C11C2311yescharacteristic
119C2×C42×C11C2311yescharacteristic
120C2×C22⋊Dic11—21no—
121C2×C22⋊Dic11—21no—
122C2×C4⋊Dic11—21no—
123C2×C4⋊Dic11—21no—
124C2×C4⋊Dic11C2311yescharacteristic
125C2×C4⋊Dic11C2311yescharacteristic
126#66977—22no—
127#66977—22no—
128#66977C2314yes—
129#66977C2314yes—
130C2×Dic11⋊C4—21no—
131C2×Dic11⋊C4—21no—
132C2×Dic11⋊C4—21no—
133C2×Dic11⋊C4—21no—
134C2×Dic11⋊C4—21no—
135C2×Dic11⋊C4—21no—
136C2×C4×Dic11—21no—
137C2×C4×Dic11—21no—
138C22×C11⋊C8C2311yescharacteristic
139C22×C11⋊C8C2311yescharacteristic
140C22×C11⋊C8C2311yescharacteristic
141C22×C11⋊C8C2311yescharacteristic
142#66942—28no—
143#66942—28no—
144#66932—28no—
145#66932—28no—
146#66923—22no—
147#66923C2314yes—
148#66922—22no—
149#66922C2314yes—
150C4×Dic22—22no—
151C4×Dic22—22no—
152C4×Dic22C2314yes—
153C4×Dic22C2314yes—
154C22⋊(C11⋊C8)C2314yes—
155C22⋊(C11⋊C8)C2314yes—
156#66874C2314yes—
157#66874C2314yes—
158#66874C2314yes—
159#66874C2314yes—
160#66874C2314yes—
161#66874C2314yes—
162#66874C2314yes—
163#66874C2314yes—
164#66872C2314yes—
165#66872C2314yes—
166#66872C2314yes—
167#66872C2314yes—
168#66871C2314yes—
169#66871C2314yes—
170#66871C2314yes—
171#66871C2314yes—
172C4⋊(C11⋊C8)C2314yes—
173C4⋊(C11⋊C8)C2314yes—
174#66867C2314yes—
175C4×C11⋊C8C2314yes—
176C2×#3242—111nomaximal, Sylow
177C24×C11C2×D411yescharacteristic
178C2×Q8×C11—24no—
179C2×Q8×C11—24no—
180C2×Q8×C11—82no—
181C2×Q8×C11—82no—
182C22×C4×C11—22no—
183C22×C4×C11—22no—
184C22×C4×C11—21no—
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×C11C2×D411yescharacteristic
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D412yes—
196C22×C4×C11C2412yes—
197C22×C4×C11C2411yescharacteristic
198C22×Dic11—21no—
199C22×Dic11—21no—
200C22×Dic11—21no—
201C22×Dic11—21no—
202C2×Dic22—21no—
203C2×Dic22—21no—
204C2×Dic22—22no—
205C2×Dic22—22no—
206C2×Dic22—22no—
207C2×Dic22—22no—
208C2×Dic22C2412yes—
209C2×Dic22C2412yes—
210C11×C4⋊C4—24no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—24no—
214C11×C4⋊C4—24no—
215C11×C4⋊C4—24no—
216C11×C4⋊C4—24no—
217C11×C4⋊C4—24no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4C2×D414yes—
222C11×C4⋊C4C2×D414yes—
223C11×C4⋊C4C2412yes—
224C11×C4⋊C4C2412yes—
225C11×C4⋊C4C2412yes—
226C11×C4⋊C4C2412yes—
227C11×C22⋊C4—24no—
228C11×C22⋊C4C2×D414yes—
229C11×C22⋊C4C2×D414yes—
230C42×C11—24no—
231C42×C11C2×D412yes—
232C42×C11C2×D412yes—
233C42×C11C2412yes—
234C42×C11C2412yes—
235C22⋊Dic11—24no—
236C22⋊Dic11—24no—
237C4⋊Dic11—21no—
238C4⋊Dic11—21no—
239C4⋊Dic11—24no—
240C4⋊Dic11—24no—
241C4⋊Dic11C2412yes—
242C4⋊Dic11C2412yes—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—24no—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249C4×Dic11—24no—
250C4×Dic11—24no—
251C2×C11⋊C8—22no—
252C2×C11⋊C8—22no—
253C2×C11⋊C8—22no—
254C2×C11⋊C8—22no—
255C2×C11⋊C8C2412yes—
256C2×C11⋊C8C2412yes—
257C2×C11⋊C8C2412yes—
258C2×C11⋊C8C2412yes—
259C2×#544D1111yescharacteristic
260C2×#541—111no—
261#3242—1116no—
262C2×#501—111no—
263C2×#499—111no—
264C2×#491—111no—
265C2×#487—111no—
266C2×#484—111no—
267C2×#485—111no—
268C2×#485—111no—
269C2×#483—111no—
270C2×#479—111no—
271C2×#479—111no—
272C2×#477—111no—
273C2×#475—111no—
274C2×#433—111no—
275C23×C11—22no—
276C23×C11—22no—
277C23×C11—22no—
278C23×C11C22×D412yes—
279C23×C11C22×D411yescharacteristic
280Q8×C11—84no—
281Q8×C11—84no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
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—42no—
298C2×C4×C11—84no—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D412yes—
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C112−1+412yes—
306C2×C4×C112−1+412yes—
307C2×C4×C11C2511yescharacteristic
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316Dic22—22no—
317Dic22—22no—
318Dic22—22no—
319Dic22—22no—
320Dic22—42no—
321Dic22—42no—
322C11⋊C8—22no—
323C11⋊C8—22no—
324C11⋊C8—22no—
325C11⋊C8—22no—
326#544—24no—
327#544C2×D1118yes—
328#541—118no—
329#541—224no—
330C2×C4⋊Q8—21no—
331C2×C4⋊Q8—111no—
332C2×C4⋊Q8C2×D1111yescharacteristic
333C2×C4⋊Q8C2×D1111yescharacteristic
334C2×#126—221no—
335C2×#126—221no—
336C2×#125—21no—
337C2×#125—111no—
338C2×#125—221no—
339C2×#125—221no—
340C2×#125C2×D1111yescharacteristic
341C2×#125C2×D1111yescharacteristic
342C2×C22⋊Q8—21no—
343C2×C22⋊Q8—21no—
344C2×C22⋊Q8—111no—
345C2×C22⋊Q8—111no—
346C2×C4×Q8—111no—
347C2×C4×Q8—111no—
348C2×#117C2×D1111yescharacteristic
349C2×#117C2×D1111yescharacteristic
350C22×C4⋊C4C2×D1111yescharacteristic
351#501—118no—
352#499—118no—
353#491—118no—
354#487—118no—
355#485—118no—
356#485—118no—
357#484—118no—
358#483—118no—
359#479—118no—
360#479—118no—
361#477—118no—
362#475—118no—
363#433—118no—
364C2×#107—111no—
365C2×#107—111no—
366C2×#107—111no—
367C2×#107—111no—
368C2×#106—111no—
369C2×#106—111no—
370C2×#106—111no—
371C2×#106—111no—
372C2×C4⋊C8—111no—
373C2×C4⋊C8—111no—
374C2×#103—111no—
375C2×#103—111no—
376C2×#103—111no—
377C2×#103—111no—
378C2×#103—111no—
379C2×#103—111no—
380C2×#103—111no—
381C2×#103—111no—
382C2×C22⋊C8—111no—
383C2×C22⋊C8—111no—
384C2×#97—111no—
385C2×C4×C8—111no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—22no—
389C22×C11—44no—
390C22×C11#53612yes—
391C22×C11#57712yes—
392C22×C11#57812yes—
393C22×C11C23×D411yescharacteristic
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—22no—
398C4×C11—22no—
399C4×C11—42no—
400C4×C11—42no—
401C4×C11—42no—
402C4×C11—42no—
403C4×C11#53612yes—
404C4×C11C2×2−1+411yescharacteristic
405C4×C11C2×2−1+411yescharacteristic
406Dic11—42no—
407Dic11—42no—
408Dic11—42no—
409Dic11—42no—
410C22×Q8—21no—
411C22×Q8—21no—
412C22×Q8—111no—
413C22×Q8—111no—
414C23×C4—21no—
415C23×C4C22×D1111yescharacteristic
416C22×C8—111no—
417C22×C8—111no—
418C22×C8—111no—
419C22×C8—111no—
420C4⋊Q8—28no—
421C4⋊Q8—22no—
422C4⋊Q8—22no—
423C4⋊Q8—114no—
424C4⋊Q8—222no—
425C4⋊Q8C22×D1114yes—
426C4⋊Q8C22×D1114yes—
427#126—228no—
428#126—228no—
429#125—28no—
430#125—22no—
431#125—22no—
432#125—114no—
433#125—228no—
434#125—228no—
435#125—222no—
436#125C22×D1114yes—
437#125C22×D1114yes—
438C22⋊Q8—28no—
439C22⋊Q8—28no—
440C22⋊Q8—114no—
441C22⋊Q8—114no—
442C22⋊Q8—222no—
443C22⋊Q8—222no—
444C4×Q8—114no—
445C4×Q8—114no—
446C4×Q8—222no—
447C4×Q8—222no—
448#117—22no—
449#117C22⋊D1114yes—
450#117C22×D1114yes—
451#117C22×D1114yes—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—221no—
463C2×C4⋊C4—221no—
464C2×C4⋊C4—221no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4C22⋊D1111yescharacteristic
471C2×C4⋊C4C22⋊D1111yescharacteristic
472C2×C4⋊C4C22×D1111yescharacteristic
473C2×C4⋊C4C22×D1111yescharacteristic
474C2×C4⋊C4C22×D1114yes—
475C2×C4⋊C4C22×D1111yescharacteristic
476C2×C4⋊C4C22×D1111yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—221no—
480C2×C22⋊C4C22⋊D1111yescharacteristic
481C2×C22⋊C4C22⋊D1111yescharacteristic
482C2×C42—21no—
483C2×C42—221no—
484C2×C42—221no—
485C2×C42C22×D1111yescharacteristic
486C2×C42C22×D1111yescharacteristic
487#107—114no—
488#107—114no—
489#107—114no—
490#107—114no—
491#106—114no—
492#106—114no—
493#106—114no—
494#106—114no—
495C4⋊C8—114no—
496C4⋊C8—114no—
497#103—114no—
498#103—114no—
499#103—114no—
500#103—114no—
501#103—114no—
502#103—114no—
503#103—114no—
504#103—114no—
505C22⋊C8—114no—
506C22⋊C8—114no—
507#97—114no—
508C4×C8—114no—
509C2×C11—42no—
510C2×C11#324214yescomplemented
511C2×C11C2×#53611yescharacteristic
512C2×C11C2×#57711yescharacteristic
513C2×C11C2×#57811yescharacteristic
514C24C2×C22⋊D1111yescharacteristic
515C2×Q8—24no—
516C2×Q8—24no—
517C2×Q8—82no—
518C2×Q8—82no—
519C2×Q8—112no—
520C2×Q8—112no—
521C2×Q8—221no—
522C2×Q8—221no—
523C2×Q8—222no—
524C2×Q8—222no—
525C2×Q8—222no—
526C2×Q8—222no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—24no—
534C22×C4—82no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4C2×C22⋊D1112yes—
540C22×C4C2×C22⋊D1111yescharacteristic
541C22×C4C2×C22⋊D1111yescharacteristic
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C2×C22⋊D1111yescharacteristic
545C22×C4C23×D1112yes—
546C22×C4C23×D1111yescharacteristic
547C2×C8—112no—
548C2×C8—112no—
549C2×C8—112no—
550C2×C8—112no—
551C2×C8—222no—
552C2×C8—222no—
553C2×C8—222no—
554C2×C8—222no—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—112no—
567C4⋊C4—112no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—224no—
571C4⋊C4—224no—
572C4⋊C4—224no—
573C4⋊C4—224no—
574C4⋊C4—224no—
575C4⋊C4—224no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4C2×C22⋊D1114yes—
579C4⋊C4C2×C22⋊D1114yes—
580C4⋊C4C23×D1112yes—
581C4⋊C4C23×D1112yes—
582C4⋊C4C23×D1112yes—
583C4⋊C4C23×D1112yes—
584C22⋊C4—24no—
585C22⋊C4—224no—
586C22⋊C4—224no—
587C22⋊C4C2×C22⋊D1114yes—
588C22⋊C4C2×C22⋊D1114yes—
589C42—24no—
590C42—224no—
591C42—224no—
592C42C2×C22⋊D1112yes—
593C42C2×C22⋊D1112yes—
594C42C23×D1112yes—
595C42C23×D1112yes—
596C11C2×#324211yescharacteristic, complemented, Sylow
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×C22⋊D1112yes—
601C23C22×C22⋊D1111yescharacteristic
602Q8—84no—
603Q8—84no—
604Q8—222no—
605Q8—222no—
606Q8—222no—
607Q8—222no—
608Q8—442no—
609Q8—442no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—84no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—442no—
632C2×C4—442no—
633C2×C4—442no—
634C2×C4—442no—
635C2×C4#6704012yes—
636C2×C4#6704012yes—
637C2×C4C22×C22⋊D1112yes—
638C2×C4C22×C22⋊D1112yes—
639C2×C4C22×C22⋊D1112yes—
640C2×C4C22×C22⋊D1112yes—
641C2×C4C22×C22⋊D1112yes—
642C2×C4C22×C22⋊D1111yescharacteristic
643C2×C4C24×D1111yescharacteristic
644C8—222no—
645C8—222no—
646C8—222no—
647C8—222no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1062334712yes—
653C22#1062336712yes—
654C22#1062336912yes—
655C22C23×C22⋊D1111yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—42no—
662C4—42no—
663C4—42no—
664C4—42no—
665C4—442no—
666C4—442no—
667C4—442no—
668C4—442no—
669C4#1062334712yes—
670C4C2×#6704011yescharacteristic
671C4C2×#6704011yescharacteristic
672C2—42no—
673C2#1307988414yesdirect product factor
674C2C2×#1062334711yescharacteristic
675C2C2×#1062336711yescharacteristic
676C2C2×#1062336911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#544C2
socleC23×C11C22×D4
prime radicalC24×C11C2×D4
hypercenterC2×#544D11
hypocenterC11C2×#3242
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
2. #13079884C2direct (N × H)
3. C2×#10622693C2semidirect
4. C2×#10622677C2semidirect
5. C2×#10622682C2semidirect
6. C2×#10622706C2semidirect
11. C2×#10622676C2semidirect
12. C2×#10622676C2semidirect
13. C2×#10622704C2semidirect
14. C2×#10622707C2semidirect
44. #10622707C22semidirect
45. #10622706C22semidirect
46. #10622704C22semidirect
47. #10622693C22semidirect
48. #10622682C22semidirect
49. #10622677C22semidirect
50. #10622676C22semidirect
51. #10622676C22semidirect
510. C2×C11#3242semidirect
596. C11C2×#3242semidirect
673. C2#13079884direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230492
#130798842
C2×#106226932
C2×#106226772
C2×#106226822
C2×#106227062
C2×#106225832
C2×#106226092
C2×#106225842
C2×#106226762
C2×#106227042
C2×#106227072
C2×#106226132
C2×C11×#5442
C2×#324211