Finite Group Databasebeta

← C2×#13081534 #15634271

Subgroups — C2×#13081534 #15634271

Order 2816.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623216C211yesmaximal, characteristic, complemented
2C2×#10623258C211yesmaximal, characteristic
3#13081534C2116yesmaximal, direct product factor
4C2×#10622469C211yesmaximal, characteristic, complemented
5C2×#10622487C211yesmaximal, characteristic, complemented
6C2×#10622488C211yesmaximal, characteristic, complemented
7C2×#10622704C211yesmaximal, characteristic, complemented
8C2×#10622467C211yesmaximal, characteristic, complemented
9C2×#10622484C211yesmaximal, characteristic
10C2×#10622679C211yesmaximal, characteristic
11C2×#10622503C211yesmaximal, characteristic
12C2×#10622314C211yesmaximal, characteristic, complemented
13C2×#10622323C211yesmaximal, characteristic
14C2×#10622502C211yesmaximal, characteristic
15C2×#10622465C211yesmaximal, characteristic
16C2×C11×#501C211yesmaximal, characteristic, complemented
17C22×Q8×D11—21no—
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C11×#125C2211yescharacteristic
20C2×#66999—21no—
21C22×#4314C2211yescharacteristic
22#10623258—24no—
23#10623258C2218yes—
24#10623216—24no—
25#10623216C2218yescomplemented
26C2×#66949—21no—
27C2×#66949—21no—
28C2×#66946C2211yescharacteristic
29C2×#66946C2211yescharacteristic
30C2×#66943C2211yescharacteristic
31C2×#66942—21no—
32C2×#66942—21no—
33C2×#66941—21no—
34C2×#66941C2211yescharacteristic
35C2×#66941C2211yescharacteristic
36C2×#66941C2211yescharacteristic
37C2×#66940—21no—
38C2×#66940C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×C4×D44C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C11×#501C2218yescomplemented
44C2×C11×#107C2211yescharacteristic
45C2×C11×#107C2211yescharacteristic
46C2×C11×#106C2211yescharacteristic
47C2×C11×#106C2211yescharacteristic
48C2×C11×#97C2211yescharacteristic
49C2×#66885C2211yescharacteristic
50C2×#66882C2211yescharacteristic
51C2×#66880C2211yescharacteristic
52C2×#66879C2211yescharacteristic
53C2×Dic11⋊C8C2211yescharacteristic
54C2×Dic11⋊C8C2211yescharacteristic
55C2×C8×Dic11C2211yescharacteristic
56#10622704C2218yescomplemented
57#10622679C2218yes—
58C2×#66874C2211yescharacteristic
59C2×#66874C2211yescharacteristic
60C2×#66873C2211yescharacteristic
61C2×#66873C2211yescharacteristic
62C2×#66872C2211yescharacteristic
63C2×#66871C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622503C2218yes—
68#10622502C2218yes—
69#10622488C2218yescomplemented
70#10622487C2218yescomplemented
71#10622484C2218yes—
72#10622469C2218yescomplemented
73#10622467C2218yescomplemented
74#10622465C2218yes—
75#10622323C2218yes—
76#10622314C2218yescomplemented
77C22×Q8×C11—21no—
78C2×Q8×D11—28no—
79C2×Q8×D11—48no—
80C22×D44C2311yescharacteristic
81C22×C4×D11—21no—
82C22×C4×D11—21no—
83C22×C4×D11—21no—
84C22×Dic22—21no—
85C22×Dic22—21no—
86C22×Dic22—21no—
87C22×Dic22D411yescharacteristic
88C22×Dic22C2311yescharacteristic
89C22×C8×C11C2311yescharacteristic
90C22×C8×C11C2311yescharacteristic
91C11×C4⋊Q8—22no—
92C11×C4⋊Q8C2314yes—
93C11×#125—22no—
94C11×#125C2314yes—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C42×C11C2311yescharacteristic
103#66999—28no—
104C2×(C2×D11)⋊C4—21no—
105C2×(C2×D11)⋊C4—21no—
106C2×(C2×D11)⋊C4—21no—
107C2×C4⋊Dic11—21no—
108C2×C4⋊Dic11D411yescharacteristic
109C2×C4⋊Dic11C2311yescharacteristic
110C2×C4⋊Dic11C2311yescharacteristic
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⋊C4D411yescharacteristic
119C2×Dic11⋊C4D411yescharacteristic
120C2×C4×Dic11—21no—
121C2×C4×Dic11—21no—
122C2×C4×Dic11—21no—
123C2×C4×Dic11C2311yescharacteristic
124C2×C4×Dic11C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126C22×C11⋊C8C2311yescharacteristic
127C2×#4314Q818yescomplemented
128C2×#4314C2314yes—
129#66949—28no—
130#66949—28no—
131#66946—22no—
132#66946—22no—
133#66946C2314yes—
134#66946C2314yes—
135#66943—22no—
136#66943C2314yes—
137#66942—28no—
138#66942—28no—
139#66941—28no—
140#66941—22no—
141#66941—22no—
142#66941—22no—
143#66941C2314yes—
144#66941C2314yes—
145#66941C2314yes—
146#66940—28no—
147#66940—22no—
148#66940—22no—
149#66940C2314yes—
150#66940C2314yes—
151C4×D44—22no—
152C4×D44C2314yes—
153C4×Dic22—22no—
154C4×Dic22D414yes—
155C4×Dic22C2314yes—
156C4×Dic22C2314yes—
157C11×#107C2314yes—
158C11×#107C2314yes—
159C11×#106C2314yes—
160C11×#106C2314yes—
161C11×#97C2314yes—
162#66885C2314yes—
163#66882C2314yes—
164#66880C2314yes—
165#66879C2314yes—
166Dic11⋊C8C2314yes—
167Dic11⋊C8C2314yes—
168C8×Dic11C2314yes—
169#66874C2314yes—
170#66874C2314yes—
171#66873C2314yes—
172#66873C2314yes—
173#66872C2314yes—
174#66871C2314yes—
175#66871C2314yes—
176#66871C2314yes—
177C4⋊(C11⋊C8)C2314yes—
178C2×#3386—111nomaximal, Sylow
179C23×D11—21no—
180C2×Q8×C11—24no—
181C2×Q8×C11—44no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2411yescharacteristic
189C22×Dic11—21no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11C2×D411yescharacteristic
193C22×Dic11C2×D411yescharacteristic
194C22×Dic11C2×D411yescharacteristic
195C22×Dic11C2×D411yescharacteristic
196Q8×D11—432no—
197C2×D44—21no—
198C2×D44—22no—
199C2×D44C2×Q814yes—
200C2×D44C2412yes—
201C2×C4×D11—24no—
202C2×C4×D11—24no—
203C2×C4×D11—24no—
204C2×C4×D11—44no—
205C2×C4×D11—44no—
206C2×C4×D11—44no—
207C2×Dic22—24no—
208C2×Dic22—24no—
209C2×Dic22—24no—
210C2×Dic22—24no—
211C2×Dic22—21no—
212C2×Dic22—22no—
213C2×Dic22—44no—
214C2×Dic22—44no—
215C2×Dic22—44no—
216C2×Dic22C2×D414yes—
217C2×Dic22C2×Q814yescomplemented
218C2×Dic22C2412yes—
219C2×C8×C11—22no—
220C2×C8×C11C2×Q814yescomplemented
221C2×C8×C11C2412yes—
222C2×C8×C11C2412yes—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—24no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—24no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—24no—
230C11×C4⋊C4C2412yes—
231C11×C4⋊C4C2412yes—
232C11×C4⋊C4C2412yes—
233C11×C4⋊C4C2412yes—
234C42×C11C2×D412yes—
235C42×C11C2412yes—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239C4⋊Dic11—24no—
240C4⋊Dic11—21no—
241C4⋊Dic11—21no—
242C4⋊Dic11C2×D414yes—
243C4⋊Dic11C2412yes—
244C4⋊Dic11C2412yes—
245Dic11⋊C4—24no—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4C2×D414yes—
253Dic11⋊C4C2×D414yes—
254C4×Dic11—24no—
255C4×Dic11—24no—
256C4×Dic11—24no—
257C4×Dic11C2×D412yes—
258C4×Dic11C2×D412yes—
259C4×Dic11C2412yes—
260C4×Dic11C2412yes—
261C2×C11⋊C8—22no—
262C2×C11⋊C8—22no—
263C2×C11⋊C8C2412yes—
264C2×C11⋊C8C2412yes—
265#4314C2×Q8116yescomplemented
266C2×#557—111no—
267C2×D4×Q8—111no—
268#3386—1116no—
269C2×#501—111no—
270C2×#501D1111yescharacteristic, complemented
271C2×#500—111no—
272C2×#477—111no—
273C2×#477—111no—
274C2×#475—111no—
275C2×#478—111no—
276C2×#478—111no—
277C2×#474—111no—
278C2×#446—111no—
279C2×#440—111no—
280C2×#440—111no—
281C2×C4×SD16—111no—
282C23×C11C22×D411yescharacteristic
283C22×D11—24no—
284C22×D11—22no—
285C22×D11—42no—
286C22×D11—42no—
287Q8×C11—48no—
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×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—42no—
312C2×Dic11—42no—
313C2×Dic11AGL(1,ℤ/8)14yes—
314C2×Dic11C22×D412yes—
315C2×Dic11C22×D412yes—
316C2×Dic11C22×D412yes—
317C2×Dic11C22×D412yes—
318D44—24no—
319D44—22no—
320D44C22×Q814yes—
321C4×D11—48no—
322C4×D11—48no—
323C4×D11—48no—
324Dic22—24no—
325Dic22—22no—
326Dic22—28no—
327Dic22—48no—
328Dic22—48no—
329Dic22—48no—
330Dic22C22×Q814yescomplemented
331C8×C11—22no—
332C8×C11C22×Q814yescomplemented
333C11⋊C8—22no—
334C11⋊C8—22no—
335C23×Q8—221no—
336C22×SD16—111no—
337#557—118no—
338#557—224no—
339D4×Q8—118no—
340D4×Q8—224no—
341C2×C4⋊Q8—111no—
342C2×C4⋊Q8—111no—
343C2×C4⋊Q8—111no—
344C2×C4⋊Q8—221no—
345C2×C4⋊Q8C2×D1111yescharacteristic
346C2×#125—111no—
347C2×#125—221no—
348C2×#125—221no—
349C2×#125C2×D1111yescharacteristic
350C2×C22⋊Q8—221no—
351C2×C22⋊Q8—221no—
352C2×C22⋊Q8—221no—
353C2×C4×Q8—111no—
354C2×C4×Q8—111no—
355C2×C4×Q8—111no—
356C2×C4×Q8—111no—
357C2×C4×Q8—221no—
358C2×C4×D4—111no—
359C2×C4×D4—111no—
360C2×C4×D4—111no—
361#501—118no—
362#501C2×D1118yescomplemented
363#500—118no—
364#478—118no—
365#478—118no—
366#477—118no—
367#477—118no—
368#475—118no—
369#474—118no—
370#446—118no—
371#440—118no—
372#440—118no—
373C4×SD16—118no—
374C2×#107—111no—
375C2×#107—111no—
376C2×#107—111no—
377C2×#107—111no—
378C2×#107C2×D1111yescharacteristic
379C2×#107C2×D1111yescharacteristic
380C2×#106—111no—
381C2×#106C2×D1111yescharacteristic
382C2×#106C2×D1111yescharacteristic
383C2×C4⋊C8—111no—
384C2×C4⋊C8—111no—
385C2×C4⋊C8—111no—
386C2×#103—111no—
387C2×#103—111no—
388C2×#103—111no—
389C2×#102—111no—
390C2×#102—111no—
391C2×#102—111no—
392C2×#97—111no—
393C2×#97C2×D1111yescharacteristic
394C2×C4×C8—111no—
395C22×C11D4×Q812yes—
396C22×C11C2×AGL(1,ℤ/8)12yes—
397C22×C11#57812yes—
398C22×C11C23×D411yescharacteristic
399C2×D11—24no—
400C2×D11—48no—
401C2×D11—42no—
402C2×D11—42no—
403C4×C11—22no—
404C4×C11—22no—
405C4×C11—42no—
406C4×C11—42no—
407C4×C11—42no—
408C4×C11—42no—
409C4×C11D4×Q812yes—
410C4×C11C23×Q811yescharacteristic
411C4×C11C2×2−1+411yescharacteristic
412Dic11—24no—
413Dic11—22no—
414Dic11—22no—
415Dic11—22no—
416Dic11—42no—
417Dic11—42no—
418Dic11C2×AGL(1,ℤ/8)14yes—
419C22×Q8—21no—
420C22×Q8—111no—
421C22×Q8—111no—
422C22×Q8—221no—
423C22×Q8—221no—
424C22×Q8—221no—
425C22×Q8—228no—
426C22×Q8—448no—
427C22×D4—111no—
428C23×C4—221no—
429C23×C4—221no—
430C23×C4—221no—
431C2×SD16—118no—
432C2×SD16—114no—
433C22×C8—111no—
434C22×C8—111no—
435C22×C8C22×D1111yescharacteristic
436C22×C8C22×D1111yescharacteristic
437C4⋊Q8—22no—
438C4⋊Q8—114no—
439C4⋊Q8—114no—
440C4⋊Q8—114no—
441C4⋊Q8—222no—
442C4⋊Q8—222no—
443C4⋊Q8—222no—
444C4⋊Q8—228no—
445C4⋊Q8C22×D1114yes—
446#125—22no—
447#125—114no—
448#125—222no—
449#125—228no—
450#125—228no—
451#125C22×D1114yes—
452C22⋊Q8—228no—
453C22⋊Q8—228no—
454C22⋊Q8—228no—
455C4×Q8—114no—
456C4×Q8—114no—
457C4×Q8—114no—
458C4×Q8—114no—
459C4×Q8—114no—
460C4×Q8—222no—
461C4×Q8—222no—
462C4×Q8—228no—
463C4×Q8—222no—
464C4×D4—114no—
465C4×D4—114no—
466C4×D4—114no—
467C4×D4—222no—
468C4×D4—222no—
469C4×D4—222no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—111no—
474C2×C4⋊C4—111no—
475C2×C4⋊C4—111no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—111no—
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⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4C22×D1111yescharacteristic
487C2×C4⋊C4C22×D1111yescharacteristic
488C2×C4⋊C4C22×D1111yescharacteristic
489C2×C4⋊C4C22×D1111yescharacteristic
490C2×C22⋊C4—221no—
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493C2×C42—111no—
494C2×C42—111no—
495C2×C42—221no—
496C2×C42—221no—
497C2×C42—221no—
498C2×C42C22×D1111yescharacteristic
499#107—114no—
500#107—114no—
501#107—114no—
502#107—114no—
503#107C22×D1114yes—
504#107C22×D1114yes—
505#106—114no—
506#106C22×D1114yes—
507#106C22×D1114yes—
508C4⋊C8—114no—
509C4⋊C8—114no—
510C4⋊C8—114no—
511#103—114no—
512#103—114no—
513#103—114no—
514#102—114no—
515#102—114no—
516#102—114no—
517#97—114no—
518#97C22×D1114yes—
519C4×C8—114no—
520C2×C11#338614yescomplemented
521C2×C11C2×D4×Q811yescharacteristic
522C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
523C2×C11C2×#57811yescharacteristic
524D11—44no—
525C24—221no—
526C2×Q8—24no—
527C2×Q8—44no—
528C2×Q8—114no—
529C2×Q8—114no—
530C2×Q8—112no—
531C2×Q8—224no—
532C2×Q8—224no—
533C2×Q8—224no—
534C2×Q8—224no—
535C2×Q8—221no—
536C2×Q8—222no—
537C2×Q8—444no—
538C2×Q8—444no—
539C2×Q8—444no—
540C2×Q8—4432no—
541C2×D4—114no—
542C2×D4—112no—
543C2×D4—221no—
544C2×D4—222no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—111no—
550C22×C4—111no—
551C22×C4—111no—
552C22×C4—111no—
553C22×C4—224no—
554C22×C4—224no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—221no—
558C22×C4—224no—
559C22×C4—444no—
560C22×C4—444no—
561C22×C4—444no—
562C22×C4D4×D1111yescharacteristic
563C22×C4D4×D1111yescharacteristic
564C22×C4C23×D1111yescharacteristic
565SD16—1116no—
566C2×C8—22no—
567C2×C8—112no—
568C2×C8—112no—
569C2×C8—222no—
570C2×C8—222no—
571C2×C8Q8×D1114yescomplemented
572C2×C8C23×D1112yes—
573C2×C8C23×D1112yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—114no—
582C4⋊C4—114no—
583C4⋊C4—114no—
584C4⋊C4—112no—
585C4⋊C4—112no—
586C4⋊C4—224no—
587C4⋊C4—224no—
588C4⋊C4—224no—
589C4⋊C4—224no—
590C4⋊C4—224no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—221no—
594C4⋊C4—221no—
595C4⋊C4—224no—
596C4⋊C4C23×D1112yes—
597C4⋊C4C23×D1112yes—
598C4⋊C4C23×D1112yes—
599C4⋊C4C23×D1112yes—
600C22⋊C4—224no—
601C22⋊C4—224no—
602C22⋊C4—224no—
603C42—112no—
604C42—112no—
605C42—112no—
606C42—112no—
607C42—224no—
608C42—224no—
609C42—224no—
610C42D4×D1112yes—
611C42C23×D1112yes—
612C11C2×#338611yescharacteristic, complemented, Sylow
613C23—224no—
614C23—222no—
615C23—442no—
616C23—442no—
617C23C2×D4×D1111yescharacteristic
618Q8—48no—
619Q8—114no—
620Q8—228no—
621Q8—224no—
622Q8—222no—
623Q8—448no—
624Q8—448no—
625Q8—448no—
626D4—114no—
627D4—224no—
628D4—222no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—114no—
640C2×C4—112no—
641C2×C4—112no—
642C2×C4—112no—
643C2×C4—112no—
644C2×C4—224no—
645C2×C4—222no—
646C2×C4—222no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—448no—
652C2×C4—448no—
653C2×C4—448no—
654C2×C4—442no—
655C2×C4—442no—
656C2×C4C2×D4×D1112yes—
657C2×C4C2×D4×D1112yes—
658C2×C4C2×D4×D1111yescharacteristic
659C2×C4C2×Q8×D1112yes—
660C2×C4#6704012yes—
661C2×C4C24×D1111yescharacteristic
662C8—22no—
663C8—222no—
664C8—222no—
665C8C2×Q8×D1114yescomplemented
666C22—224no—
667C22—448no—
668C22—442no—
669C22—442no—
670C22#1062325812yes—
671C22D11×AGL(1,ℤ/8)12yes—
672C22#1062331012yes—
673C22C22×D4×D1111yescharacteristic
674C4—22no—
675C4—22no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—114no—
681C4—222no—
682C4—224no—
683C4—222no—
684C4—222no—
685C4—442no—
686C4—442no—
687C4#1062325812yes—
688C4C22×Q8×D1111yescharacteristic
689C4C2×#6704011yescharacteristic
690C2—444no—
691C2#1308153414yesdirect product factor
692C2C2×#1062325811yescharacteristic
693C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
694C2C2×#1062331011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#501C2
socleC23×C11C22×D4
prime radicalC22×D44C23
hypercenterC2×#501D11
hypocenterC11C2×#3386
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#10623216C2semidirect
3. #13081534C2direct (N × H)
4. C2×#10622469C2semidirect
5. C2×#10622487C2semidirect
6. C2×#10622488C2semidirect
7. C2×#10622704C2semidirect
8. C2×#10622467C2semidirect
12. C2×#10622314C2semidirect
16. C2×C11×#501C2semidirect
25. #10623216C22semidirect
43. C11×#501C22semidirect
56. #10622704C22semidirect
69. #10622488C22semidirect
70. #10622487C22semidirect
72. #10622469C22semidirect
73. #10622467C22semidirect
76. #10622314C22semidirect
127. C2×#4314Q8semidirect
217. C2×Dic22C2×Q8semidirect
220. C2×C8×C11C2×Q8semidirect
265. #4314C2×Q8semidirect
270. C2×#501D11semidirect
330. Dic22C22×Q8semidirect
332. C8×C11C22×Q8semidirect
362. #501C2×D11semidirect
520. C2×C11#3386semidirect
571. C2×C8Q8×D11semidirect
612. C11C2×#3386semidirect
665. C8C2×Q8×D11semidirect
691. C2#13081534direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232162
C2×#106232582
#130815342
C2×#106224692
C2×#106224872
C2×#106224882
C2×#106227042
C2×#106224672
C2×#106224842
C2×#106226792
C2×#106225032
C2×#106223142
C2×#106223232
C2×#106225022
C2×#106224652
C2×C11×#5012
C2×#338611