Finite Group Databasebeta

← C2×#13073566 #14925551

Subgroups — C2×#13073566 #14925551

Order 2816.

4006 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
1C22×#66997C211yesmaximal, characteristic, complemented
2C22×#66950C211yesmaximal, characteristic, complemented
3C22×#66977C211yesmaximal, characteristic, complemented
4C22×#66999C211yesmaximal, characteristic, complemented
5C22×C4×C22⋊D11C211yesmaximal, characteristic
6#13073566C2116yesmaximal, direct product factor
7C2×#10622562C212yesmaximal, complemented
8C2×#10622605C212yesmaximal, complemented
9C2×#10622570C212yesmaximal
10C2×#10622589C212yesmaximal, complemented
11C2×C4⋊C4×Dic11C211yesmaximal, characteristic, complemented
12C22×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
13C23×Q8×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C23×Dic22C2211yescharacteristic
18C2×C11×C22⋊Q8—28no—
19C2×C11×C22⋊Q8C2218yescomplemented
20C22×C11×C4⋊C4C2212yes—
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2212yes—
23C22×C22⋊Dic11C2211yescharacteristic
24C22×C22⋊Dic11C2212yes—
25C2×#66999—28no—
26C2×#66999C2218yescomplemented
27C2×#66997—28no—
28C2×#66997C2218yescomplemented
29C2×C4×C22⋊D11—28no—
30C2×C4×C22⋊D11C2218yes—
31C22×(C2×D11)⋊C4C2211yescharacteristic
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×C4⋊Dic11C2212yes—
35C22×C4⋊Dic11C2211yescharacteristic
36C2×#66977—28no—
37C2×#66977C2218yescomplemented
38C22×Dic11⋊C4C2212yes—
39C22×Dic11⋊C4C2212yes—
40C22×Dic11⋊C4C2211yescharacteristic
41C22×Dic11⋊C4C2212yes—
42C22×Dic11⋊C4C2212yes—
43C22×C4×Dic11C2212yes—
44C22×C4×Dic11C2211yescharacteristic
45C2×#66950—28no—
46C2×#66950C2218yescomplemented
47C2×C11⋊#95C2212yes—
48#10622605C22116yescomplemented
49#10622589C22116yescomplemented
50C4⋊C4×Dic11C2218yescomplemented
51#10622570C22116yes—
52#10622562C22116yescomplemented
53C25×C11C2311yescharacteristic
54C24×D11C2311yescharacteristic
55C22×Q8×C11—24no—
56C22×Q8×C11—24no—
57C22×Q8×C11—24no—
58C22×Q8×C11C2314yes—
59C23×C4×C11—24no—
60C23×C4×C11—24no—
61C23×C4×C11—24no—
62C23×C4×C11C2312yes—
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2314yes—
65C23×C4×C11C2312yes—
66C23×C4×C11C2311yescharacteristic
67C22×C22⋊D11—24no—
68C22×C22⋊D11—24no—
69C22×C22⋊D11Q818yescomplemented
70C22×C22⋊D11C2314yes—
71C23×Dic11C2311yescharacteristic
72C23×Dic11C2312yes—
73C23×Dic11C2312yes—
74C23×Dic11C2311yescharacteristic
75C23×Dic11C2311yescharacteristic
76C22×C4×D11—24no—
77C22×C4×D11—24no—
78C22×C4×D11—24no—
79C22×C4×D11C2314yes—
80C22×Dic22—24no—
81C22×Dic22—24no—
82C22×Dic22—24no—
83C22×Dic22C2314yes—
84C11×C22⋊Q8—232no—
85C2×C11×C4⋊C4—28no—
86C2×C11×C4⋊C4D418yescomplemented
87C2×C11×C4⋊C4C2318yes—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C22⋊C4—28no—
90C2×C11×C22⋊C4C2318yes—
91C2×C22⋊Dic11—28no—
92C2×C22⋊Dic11—24no—
93C2×C22⋊Dic11C2318yes—
94C2×C22⋊Dic11C2314yes—
95#66999—232no—
96#66997—232no—
97C4×C22⋊D11—232no—
98C2×(C2×D11)⋊C4—28no—
99C2×(C2×D11)⋊C4—24no—
100C2×(C2×D11)⋊C4—28no—
101C2×(C2×D11)⋊C4C2318yes—
102C2×(C2×D11)⋊C4C2314yes—
103C2×(C2×D11)⋊C4C2318yes—
104C2×C4⋊Dic11—28no—
105C2×C4⋊Dic11D418yescomplemented
106C2×C4⋊Dic11C2318yes—
107C2×C4⋊Dic11C2314yes—
108#66977—232no—
109C2×Dic11⋊C4—28no—
110C2×Dic11⋊C4—24no—
111C2×Dic11⋊C4—28no—
112C2×Dic11⋊C4—28no—
113C2×Dic11⋊C4—28no—
114C2×Dic11⋊C4C2318yes—
115C2×Dic11⋊C4C2314yes—
116C2×Dic11⋊C4C2318yes—
117C2×Dic11⋊C4C2318yes—
118C2×Dic11⋊C4C2318yes—
119C2×C4×Dic11—28no—
120C2×C4×Dic11D418yes—
121C2×C4×Dic11C2318yes—
122C2×C4×Dic11C2314yes—
123#66950—232no—
124C11⋊#95C2318yes—
125C2×#2542—111nomaximal, Sylow
126C24×C11—22no—
127C24×C11—22no—
128C24×C11—22no—
129C24×C11—22no—
130C24×C11—22no—
131C24×C11—22no—
132C24×C11C2×Q814yes—
133C24×C11C2412yes—
134C24×C11C2411yescharacteristic
135C23×D11—22no—
136C23×D11—22no—
137C23×D11—22no—
138C23×D11—22no—
139C23×D11—22no—
140C23×D11—22no—
141C23×D11C2×Q814yes—
142C23×D11C2412yes—
143C2×Q8×C11—28no—
144C2×Q8×C11—28no—
145C2×Q8×C11—28no—
146C2×Q8×C11—416no—
147C22×C4×C11—24no—
148C22×C4×C11—24no—
149C22×C4×C11—22no—
150C22×C4×C11—24no—
151C22×C4×C11—22no—
152C22×C4×C11—24no—
153C22×C4×C11—24no—
154C22×C4×C11—22no—
155C22×C4×C11—28no—
156C22×C4×C11—28no—
157C22×C4×C11—28no—
158C22×C4×C11—416no—
159C22×C4×C11C2×D418yes—
160C22×C4×C11C2×D414yes—
161C22×C4×C11C2×D414yes—
162C22×C4×C11C2×D414yes—
163C22×C4×C11C2414yes—
164C22×C4×C11C2412yes—
165C22×C4×C11C2414yes—
166C22×C4×C11C2412yes—
167C2×C22⋊D11—232no—
168C2×C22⋊D11—28no—
169C2×C22⋊D11—28no—
170C2×C22⋊D11C2×Q8116yescomplemented
171C22×Dic11—24no—
172C22×Dic11—22no—
173C22×Dic11—24no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—24no—
177C22×Dic11—24no—
178C22×Dic11—22no—
179C22×Dic11—24no—
180C22×Dic11—22no—
181C22×Dic11C2×D414yes—
182C22×Dic11C2×D418yes—
183C22×Dic11C2×D414yes—
184C22×Dic11C2×Q814yes—
185C22×Dic11#4114yes—
186C22×Dic11C2412yes—
187C22×Dic11C2414yes—
188C22×Dic11C2412yes—
189C22×Dic11C2414yes—
190C22×Dic11C2412yes—
191C2×C4×D11—28no—
192C2×C4×D11—28no—
193C2×C4×D11—28no—
194C2×C4×D11—416no—
195C2×Dic22—28no—
196C2×Dic22—28no—
197C2×Dic22—28no—
198C2×Dic22—416no—
199C11×C4⋊C4—216no—
200C11×C4⋊C4C2×D4116yescomplemented
201C11×C22⋊C4—216no—
202C22⋊Dic11—216no—
203C22⋊Dic11—28no—
204(C2×D11)⋊C4—28no—
205(C2×D11)⋊C4—216no—
206(C2×D11)⋊C4—216no—
207C4⋊Dic11—216no—
208C4⋊Dic11C2×D4116yescomplemented
209Dic11⋊C4—216no—
210Dic11⋊C4—28no—
211Dic11⋊C4—216no—
212Dic11⋊C4—216no—
213Dic11⋊C4—216no—
214C4×Dic11—216no—
215C4×Dic11C2×D4116yes—
216C22×C4⋊Q8—111no—
217C22×C22⋊Q8—111no—
218C22×C22⋊Q8—111no—
219C22×C22⋊Q8—111no—
220C22×C22⋊Q8D1111yescharacteristic, complemented
221C22×C4×D4—111no—
222#2542—1116no—
223C2×#399—112no—
224C2×#399—112no—
225C2×#390—112no—
226C2×#384—112no—
227C2×C4×C4⋊C4—111no—
228C23×C11—28no—
229C23×C11—28no—
230C23×C11—28no—
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—44no—
238C23×C11—44no—
239C23×C11—44no—
240C23×C11—44no—
241C23×C11C22×D412yes—
242C23×C11C22×D412yes—
243C23×C11C22×D412yes—
244C23×C11C22×Q814yes—
245C23×C11C22×Q812yes—
246C23×C11C2×#4112yes—
247C23×C112−1+412yes—
248C23×C112−1+412yes—
249C23×C11C2511yescharacteristic
250C22×D11—28no—
251C22×D11—28no—
252C22×D11—28no—
253C22×D11—22no—
254C22×D11—22no—
255C22×D11—22no—
256C22×D11—22no—
257C22×D11—22no—
258C22×D11—22no—
259C22×D11—44no—
260C22×D11—44no—
261C22×D11—44no—
262C22×D11—44no—
263C22×D11C22×Q814yes—
264Q8×C11—416no—
265C2×C4×C11—216no—
266C2×C4×C11—24no—
267C2×C4×C11—24no—
268C2×C4×C11—22no—
269C2×C4×C11—24no—
270C2×C4×C11—22no—
271C2×C4×C11—24no—
272C2×C4×C11—24no—
273C2×C4×C11—22no—
274C2×C4×C11—44no—
275C2×C4×C11—48no—
276C2×C4×C11—416no—
277C2×C4×C11#127116yes—
278C2×C4×C11C22×D414yes—
279C2×C4×C11C22×D414yes—
280C2×C4×C11C22×D418yes—
281C2×C4×C11C22×D414yes—
282C22⋊D11—232no—
283C2×Dic11—28no—
284C2×Dic11—216no—
285C2×Dic11—24no—
286C2×Dic11—22no—
287C2×Dic11—24no—
288C2×Dic11—22no—
289C2×Dic11—24no—
290C2×Dic11—22no—
291C2×Dic11—24no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—24no—
295C2×Dic11—48no—
296C2×Dic11—44no—
297C2×Dic11C22⋊Q8116yescomplemented
298C2×Dic11C22×D414yes—
299C2×Dic11C22×D418yes—
300C2×Dic11C22×D414yes—
301C2×Dic11C22×Q814yes—
302C2×Dic11C2×#4114yes—
303C4×D11—416no—
304Dic22—416no—
305C23×Q8—111no—
306C23×Q8C2×D1111yescharacteristic
307C23×D4—111no—
308C24×C4—111no—
309C24×C4C2×D1111yescharacteristic
310C2×C4⋊Q8—118no—
311C2×C4⋊Q8—228no—
312C2×C22⋊Q8—28no—
313C2×C22⋊Q8—118no—
314C2×C22⋊Q8—118no—
315C2×C22⋊Q8—118no—
316C2×C22⋊Q8—228no—
317C2×C22⋊Q8—228no—
318C2×C22⋊Q8—228no—
319C2×C22⋊Q8C2×D1118yescomplemented
320C2×C4×D4—118no—
321C2×C4×D4—228no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4—112no—
324C22×C4⋊C4—112no—
325C22×C4⋊C4—112no—
326C22×C4⋊C4—111no—
327C22×C4⋊C4—112no—
328C22×C4⋊C4—112no—
329C22×C4⋊C4C2×D1112yes—
330C22×C4⋊C4C2×D1111yescharacteristic
331C22×C22⋊C4—111no—
332C22×C22⋊C4—112no—
333C22×C22⋊C4—111no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4C2×D1112yes—
337C22×C42—111no—
338C22×C42—112no—
339#399—1116no—
340#399—1116no—
341#390—1116no—
342#384—1116no—
343C4×C4⋊C4—118no—
344C2×#95—112no—
345C22×C11—24no—
346C22×C11—24no—
347C22×C11—24no—
348C22×C11—42no—
349C22×C11—42no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11—416no—
353C22×C11C2×C22⋊Q814yes—
354C22×C11C2×#12714yes—
355C22×C11#53614yes—
356C22×C11#54714yes—
357C22×C11#54714yes—
358C22×C11D4×Q814yes—
359C22×C11D4×Q814yes—
360C22×C11C23×D411yescharacteristic
361C22×C11C23×D411yescharacteristic
362C22×C11C23×D411yescharacteristic
363C22×C11C23×Q811yescharacteristic
364C22×C11C22×#4111yescharacteristic
365C22×C11C2×2−1+411yescharacteristic
366C22×C11C2×2−1+411yescharacteristic
367C2×D11—24no—
368C2×D11—24no—
369C2×D11—24no—
370C2×D11—42no—
371C2×D11—42no—
372C2×D11—42no—
373C2×D11—42no—
374C2×D11—416no—
375C4×C11—28no—
376C4×C11—42no—
377C4×C11—44no—
378C4×C11C2×#12718yes—
379Dic11—24no—
380Dic11—28no—
381Dic11—44no—
382Dic11—42no—
383Dic11C2×C22⋊Q818yescomplemented
384C25—111no—
385C25C22×D1111yescharacteristic
386C22×Q8—24no—
387C22×Q8—24no—
388C22×Q8—24no—
389C22×Q8—114no—
390C22×Q8—224no—
391C22×Q8—224no—
392C22×Q8—224no—
393C22×Q8C22×D1114yes—
394C22×D4—118no—
395C22×D4—114no—
396C22×D4—224no—
397C22×D4—224no—
398C23×C4—24no—
399C23×C4—24no—
400C23×C4—24no—
401C23×C4—111no—
402C23×C4—112no—
403C23×C4—111no—
404C23×C4—112no—
405C23×C4—111no—
406C23×C4—114no—
407C23×C4—224no—
408C23×C4—224no—
409C23×C4—224no—
410C23×C4C22×D1114yes—
411C23×C4C22×D1112yes—
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1112yes—
414C23×C4C22×D1111yescharacteristic
415C4⋊Q8—2232no—
416C22⋊Q8—232no—
417C22⋊Q8—2232no—
418C22⋊Q8—2232no—
419C22⋊Q8—2232no—
420C4×D4—2232no—
421C2×C4⋊C4—28no—
422C2×C4⋊C4—118no—
423C2×C4⋊C4—114no—
424C2×C4⋊C4—114no—
425C2×C4⋊C4—118no—
426C2×C4⋊C4—118no—
427C2×C4⋊C4—118no—
428C2×C4⋊C4—118no—
429C2×C4⋊C4—118no—
430C2×C4⋊C4—224no—
431C2×C4⋊C4—228no—
432C2×C4⋊C4—228no—
433C2×C4⋊C4—228no—
434C2×C4⋊C4—228no—
435C2×C4⋊C4—228no—
436C2×C4⋊C4C22⋊D1118yescomplemented
437C2×C4⋊C4C22×D1118yes—
438C2×C4⋊C4C22×D1114yes—
439C2×C22⋊C4—28no—
440C2×C22⋊C4—114no—
441C2×C22⋊C4—118no—
442C2×C22⋊C4—114no—
443C2×C22⋊C4—118no—
444C2×C22⋊C4—118no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—228no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—228no—
449C2×C22⋊C4—228no—
450C2×C22⋊C4C22×D1118yes—
451C2×C42—118no—
452C2×C42—114no—
453C2×C42—118no—
454C2×C42—228no—
455#95—118no—
456C2×C11—44no—
457C2×C11#254218yescomplemented
458C2×C11C22×C22⋊Q811yescharacteristic
459C2×C11C22×#12711yescharacteristic
460C2×C11C2×#53611yescharacteristic
461C2×C11C2×#54711yescharacteristic
462C2×C11C2×#54711yescharacteristic
463C2×C11C2×D4×Q811yescharacteristic
464C2×C11C2×D4×Q811yescharacteristic
465D11—44no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—114no—
473C24—112no—
474C24—222no—
475C24—222no—
476C24—222no—
477C24—222no—
478C24—222no—
479C24—222no—
480C24Q8×D1114yes—
481C24C23×D1112yes—
482C24C23×D1111yescharacteristic
483C2×Q8—28no—
484C2×Q8—28no—
485C2×Q8—28no—
486C2×Q8—416no—
487C2×Q8—228no—
488C2×Q8—228no—
489C2×Q8—228no—
490C2×Q8—4416no—
491C2×D4—1116no—
492C2×D4—228no—
493C2×D4—2232no—
494C2×D4—228no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—28no—
506C22×C4—416no—
507C22×C4—114no—
508C22×C4—114no—
509C22×C4—114no—
510C22×C4—112no—
511C22×C4—114no—
512C22×C4—118no—
513C22×C4—112no—
514C22×C4—114no—
515C22×C4—114no—
516C22×C4—112no—
517C22×C4—222no—
518C22×C4—224no—
519C22×C4—224no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—224no—
523C22×C4—222no—
524C22×C4—224no—
525C22×C4—224no—
526C22×C4—222no—
527C22×C4—228no—
528C22×C4—228no—
529C22×C4—228no—
530C22×C4—4416no—
531C22×C4D4×D1114yes—
532C22×C4D4×D1114yes—
533C22×C4C2×C22⋊D1118yes—
534C22×C4C2×C22⋊D1114yes—
535C22×C4C23×D1114yes—
536C22×C4C23×D1112yes—
537C22×C4C23×D1114yes—
538C22×C4C23×D1112yes—
539C4⋊C4—216no—
540C4⋊C4—1116no—
541C4⋊C4—228no—
542C4⋊C4—2216no—
543C4⋊C4—2216no—
544C4⋊C4—2216no—
545C4⋊C4—2216no—
546C4⋊C4—2216no—
547C4⋊C4C2×C22⋊D11116yescomplemented
548C22⋊C4—216no—
549C22⋊C4—228no—
550C22⋊C4—2216no—
551C22⋊C4—228no—
552C22⋊C4—2216no—
553C22⋊C4—2216no—
554C42—1116no—
555C42—2216no—
556C11C2×#254211yescharacteristic, complemented, Sylow
557C23—28no—
558C23—28no—
559C23—28no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—44no—
570C23—114no—
571C23—228no—
572C23—228no—
573C23—228no—
574C23—222no—
575C23—222no—
576C23—222no—
577C23—222no—
578C23—222no—
579C23—222no—
580C23—444no—
581C23—444no—
582C23—444no—
583C23—444no—
584C23C2×D4×D1112yes—
585C23C2×D4×D1112yes—
586C23C2×Q8×D1114yes—
587C23C2×Q8×D1112yes—
588C23#6704012yes—
589C23#41×D1112yes—
590C23#6704312yes—
591C23C22×C22⋊D1112yes—
592C23C24×D1111yescharacteristic
593Q8—416no—
594Q8—4416no—
595D4—2232no—
596C2×C4—216no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—44no—
606C2×C4—48no—
607C2×C4—416no—
608C2×C4—1116no—
609C2×C4—114no—
610C2×C4—114no—
611C2×C4—114no—
612C2×C4—114no—
613C2×C4—118no—
614C2×C4—228no—
615C2×C4—2216no—
616C2×C4—222no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—222no—
620C2×C4—222no—
621C2×C4—224no—
622C2×C4—222no—
623C2×C4—224no—
624C2×C4—224no—
625C2×C4—222no—
626C2×C4—444no—
627C2×C4—448no—
628C2×C4—4416no—
629C2×C4#66993116yes—
630C2×C4C2×D4×D1114yes—
631C2×C4C2×D4×D1114yes—
632C2×C4C22×C22⋊D1118yes—
633C2×C4C22×C22⋊D1114yes—
634C22—24no—
635C22—24no—
636C22—24no—
637C22—42no—
638C22—42no—
639C22—416no—
640C22—42no—
641C22—42no—
642C22—224no—
643C22—224no—
644C22—224no—
645C22—442no—
646C22—442no—
647C22—4416no—
648C22—442no—
649C22—442no—
650C22D11×C22⋊Q814yes—
651C22#1062315914yes—
652C22#1062316214yes—
653C22#1062316314yes—
654C22C2×#6699314yes—
655C22Q8×C22⋊D1114yes—
656C22#1062335514yes—
657C22C22×D4×D1111yescharacteristic
658C22C22×D4×D1111yescharacteristic
659C22C22×Q8×D1111yescharacteristic
660C22C2×#6704011yescharacteristic
661C22C2×#41×D1111yescharacteristic
662C22C2×#6704311yescharacteristic
663C22C23×C22⋊D1111yescharacteristic
664C4—28no—
665C4—42no—
666C4—44no—
667C4—118no—
668C4—224no—
669C4—228no—
670C4—442no—
671C4—444no—
672C4C2×#6699318yes—
673C2—44no—
674C2—444no—
675C2#1307356618yesdirect product factor
676C2C2×D11×C22⋊Q811yescharacteristic
677C2C22×#6699311yescharacteristic
678C2C2×#1062315911yescharacteristic
679C2C2×#1062335511yescharacteristic
680C2C2×#1062316211yescharacteristic
681C2C2×#1062316311yescharacteristic
682C2C2×Q8×C22⋊D1111yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×C22⋊Q8C2
socleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenterC22×C22⋊Q8D11
hypocenterC11C2×#2542
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#66997C2semidirect
2. C22×#66950C2semidirect
3. C22×#66977C2semidirect
4. C22×#66999C2semidirect
6. #13073566C2direct (N × H)
7. C2×#10622562C2semidirect
8. C2×#10622605C2semidirect
10. C2×#10622589C2semidirect
11. C2×C4⋊C4×Dic11C2semidirect
12. C22×C11×C22⋊Q8C2semidirect
19. C2×C11×C22⋊Q8C22semidirect
26. C2×#66999C22semidirect
28. C2×#66997C22semidirect
37. C2×#66977C22semidirect
46. C2×#66950C22semidirect
48. #10622605C22semidirect
49. #10622589C22semidirect
50. C4⋊C4×Dic11C22semidirect
52. #10622562C22semidirect
69. C22×C22⋊D11Q8semidirect
86. C2×C11×C4⋊C4D4semidirect
105. C2×C4⋊Dic11D4semidirect
170. C2×C22⋊D11C2×Q8semidirect
200. C11×C4⋊C4C2×D4semidirect
208. C4⋊Dic11C2×D4semidirect
220. C22×C22⋊Q8D11semidirect
297. C2×Dic11C22⋊Q8semidirect
319. C2×C22⋊Q8C2×D11semidirect
383. Dic11C2×C22⋊Q8semidirect
436. C2×C4⋊C4C22⋊D11semidirect
457. C2×C11#2542semidirect
547. C4⋊C4C2×C22⋊D11semidirect
556. C11C2×#2542semidirect
675. C2#13073566direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669972
C22×#669502
C22×#669772
C22×#669992
C22×C4×C22⋊D112
#130735662
C2×#106225622
C2×#106226052
C2×#106225702
C2×#106225892
C2×C4⋊C4×Dic112
C22×C11×C22⋊Q82
C2×#254211