Finite Group Databasebeta

← #14922638

Subgroups — #14922638

Order 2816.

2738 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic11C211yesmaximal, characteristic, complemented
2#13072137C212yesmaximal, complemented
3#13072126C212yesmaximal, complemented
4#13072115C212yesmaximal, complemented
5#13072104C212yesmaximal, complemented
6#13072089C214yesmaximal, complemented
7#13072074C214yesmaximal, complemented
8#13071875C214yesmaximal, complemented
9C4×#66988C214yesmaximal, complemented
10#13071107C211yesmaximal, characteristic, complemented
11#13071098C211yesmaximal, characteristic, complemented
12#13071019C211yesmaximal, characteristic, complemented
13#13070999C211yesmaximal, characteristic, complemented
14C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
15C2×C11×#525C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C11×#525—28no—
19C2×C11×#123C2212yes—
20C2×C11×C22⋊Q8C2212yes—
21C2×C11×#121C2212yes—
22C2×C11×#120C2212yes—
23C2×C4×D4×C11C2214yes—
24C2×C11×#117C2211yescharacteristic
25C22×C22⋊Dic11C2212yes—
26#41×Dic11—28no—
27C2×Q8×Dic11C2212yescomplemented
28C2×#66988C2214yes—
29C2×D4×Dic11C2214yes—
30C2×D4×Dic11C2212yescomplemented
31C2×#66979C2211yescharacteristic
32C2×#66979C2211yescharacteristic
33C2×#66979C2212yescomplemented
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C22×C4×Dic11C2212yescomplemented
37#10622860C2212yes—
38#10622843C2211yescharacteristic, complemented
39#10622843C2211yescharacteristic, complemented
40#10622835C2214yes—
41#10622835C2214yes—
42#10622834C2211yescharacteristic, complemented
43#10622834C2211yescharacteristic, complemented
44#10622833C2214yes—
45#10622833C2214yes—
46#10622825C2212yes—
47#10622825C2212yes—
48#10622824C2212yes—
49C4×C22⋊Dic11C2212yes—
50C4×C22⋊Dic11C2214yes—
51C4×C22⋊Dic11C2212yes—
52C4×C22⋊Dic11C2212yes—
53C4×C22⋊Dic11C2212yes—
54C4×C22⋊Dic11C2214yescomplemented
55C2×C11⋊#95C2212yes—
56#10622599C2214yescomplemented
57#10622596C2214yescomplemented
58#10622591C2214yescomplemented
59#10622591C2214yescomplemented
60#10622590C2212yescomplemented
61#10622589C2212yescomplemented
62#10622586C2212yescomplemented
63#10622586C2212yescomplemented
64#10622566C2214yes—
65#10622565C2214yescomplemented
66#10622565C2214yescomplemented
67#10622562C2214yes—
68#10622559C2214yes—
69#10622559C2214yescomplemented
70#10622557C2214yes—
71#10622557C2214yes—
72#10622556C2214yescomplemented
73#10622555C2214yes—
74C4×Dic11⋊C4C2212yescomplemented
75C4×Dic11⋊C4C2214yescomplemented
76C4×Dic11⋊C4C2212yescomplemented
77C25×C11C2311yescharacteristic
78C2×C11×#41—24no—
79C2×C11×#41—24no—
80C2×C11×#41D418yes—
81C22×Q8×C11C2311yescharacteristic
82C22×D4×C11C2314yes—
83C22×D4×C11C2312yes—
84C22×D4×C11C2311yescharacteristic
85C23×C4×C11—24no—
86C23×C4×C11—24no—
87C23×C4×C11—24no—
88C23×C4×C11C2311yescharacteristic
89C23×C4×C11C2312yes—
90C23×C4×C11C2312yes—
91C23×C4×C11C2312yes—
92C23×C4×C11C2311yescharacteristic
93C23×Dic11C2312yes—
94C23×Dic11C2312yes—
95C23×Dic11C2314yes—
96C11×#123—28no—
97C11×C22⋊Q8—28no—
98C11×#121—28no—
99C11×#120—28no—
100C4×D4×C11—216no—
101C11×#117—24no—
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C22⋊C4C2312yes—
105C2×C11×C22⋊C4C2314yes—
106C2×C11×C22⋊C4C2314yes—
107C2×C42×C11C2312yes—
108C2×C22⋊Dic11—28no—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2314yes—
112C2×C22⋊Dic11C2312yes—
113C2×C22⋊Dic11C2314yes—
114C2×C22⋊Dic11C2314yes—
115C2×C22⋊Dic11C2312yes—
116C2×C22⋊Dic11C2312yes—
117C2×C22⋊Dic11C2314yes—
118C2×C22⋊Dic11C2314yes—
119C2×C22⋊Dic11C2312yes—
120Q8×Dic11—28no—
121#66988—216no—
122D4×Dic11—216no—
123D4×Dic11—28no—
124#66979—24no—
125#66979—28no—
126#66979—24no—
127C2×C4⋊Dic11C2312yes—
128C2×C4⋊Dic11C2311yescharacteristic
129C2×C4⋊Dic11C2311yescharacteristic
130C2×C4⋊Dic11C2314yes—
131C2×Dic11⋊C4C2314yes—
132C2×Dic11⋊C4C2314yes—
133C2×Dic11⋊C4C2314yes—
134C2×Dic11⋊C4C2314yes—
135C2×C4×Dic11—24no—
136C2×C4×Dic11—28no—
137C2×C4×Dic11—24no—
138C2×C4×Dic11C2311yescharacteristic
139C2×C4×Dic11C2311yescharacteristic
140C2×C4×Dic11C2312yes—
141C2×C4×Dic11C2312yes—
142C2×C4×Dic11C2312yes—
143C2×C4×Dic11C2312yes—
144C2×C4×Dic11C2311yescharacteristic
145C2×C4×Dic11C2311yescharacteristic
146C2×C4×Dic11C2314yes—
147C11⋊#95C2314yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2312yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2312yes—
158C11⋊#95C2312yes—
159#34742—111nomaximal, Sylow
160C24×C11—24no—
161C24×C11—22no—
162C24×C11—22no—
163C24×C11—22no—
164C24×C11—42no—
165C24×C11C2412yes—
166C24×C11C2412yes—
167C24×C11C2411yescharacteristic
168C11×#41—232no—
169C2×Q8×C11—22no—
170C2×Q8×C11—22no—
171C2×Q8×C11C2×D414yes—
172C2×D4×C11—24no—
173C2×D4×C11—24no—
174C2×D4×C11—28no—
175C2×D4×C11—28no—
176C2×D4×C11—22no—
177C2×D4×C11—22no—
178C2×D4×C11—44no—
179C2×D4×C11C2×D418yes—
180C2×D4×C11C2×D414yes—
181C22×C4×C11—24no—
182C22×C4×C11—24no—
183C22×C4×C11—22no—
184C22×C4×C11—22no—
185C22×C4×C11—22no—
186C22×C4×C11—24no—
187C22×C4×C11—24no—
188C22×C4×C11—24no—
189C22×C4×C11—24no—
190C22×C4×C11—24no—
191C22×C4×C11—24no—
192C22×C4×C11—416no—
193C22×C4×C11C2×D418yes—
194C22×C4×C11C2×D414yes—
195C22×C4×C11#4114yes—
196C22×C4×C11#4114yes—
197C22×C4×C11C2412yes—
198C22×C4×C11C2414yes—
199C22×C4×C11C2412yes—
200C22×C4×C11C2411yescharacteristic
201C22×C4×C11C2411yescharacteristic
202C22×Dic11—28no—
203C22×Dic11—24no—
204C22×Dic11—24no—
205C22×Dic11—28no—
206C22×Dic11—24no—
207C22×Dic11—24no—
208C22×Dic11—42no—
209C22×Dic11—42no—
210C22×Dic11—44no—
211C22×Dic11C2412yes—
212C22×Dic11C2412yes—
213C22×Dic11C2412yes—
214C22×Dic11C2414yes—
215C22×Dic11C2412yes—
216C22×Dic11C2412yes—
217C22×Dic11C2412yes—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—28no—
220C11×C22⋊C4—24no—
221C11×C22⋊C4—28no—
222C11×C22⋊C4—28no—
223C42×C11—24no—
224C22⋊Dic11—28no—
225C22⋊Dic11—24no—
226C22⋊Dic11—24no—
227C22⋊Dic11—28no—
228C22⋊Dic11—24no—
229C22⋊Dic11—24no—
230C22⋊Dic11—28no—
231C22⋊Dic11—24no—
232C22⋊Dic11—44no—
233C22⋊Dic11—44no—
234C22⋊Dic11#4118yescomplemented
235C4⋊Dic11—28no—
236C4⋊Dic11—24no—
237C4⋊Dic11—22no—
238C4⋊Dic11—22no—
239Dic11⋊C4—28no—
240Dic11⋊C4—28no—
241Dic11⋊C4—44no—
242Dic11⋊C4—44no—
243C4×Dic11—22no—
244C4×Dic11—22no—
245C4×Dic11—24no—
246C4×Dic11—28no—
247C4×Dic11—24no—
248C4×Dic11—24no—
249C4×Dic11—22no—
250C4×Dic11—22no—
251C4×Dic11—24no—
252C2×#525D1111yescharacteristic
253C2×C4×#41—111no—
254#2423—112no—
255#2422—112no—
256#2421—112no—
257#2420—112no—
258#2419—114no—
259#2418—114no—
260#2395—114no—
261C4×#123—114no—
262#2297—111no—
263#2296—111no—
264#2285—111no—
265#2280—111no—
266C2×C4×C22⋊C4—111no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—28no—
270C23×C11—22no—
271C23×C11—22no—
272C23×C11—24no—
273C23×C11—22no—
274C23×C11—22no—
275C23×C11—22no—
276C23×C11—22no—
277C23×C11—22no—
278C23×C11—24no—
279C23×C11—22no—
280C23×C11—48no—
281C23×C11—48no—
282C23×C11—44no—
283C23×C11—44no—
284C23×C11C22×D414yes—
285C23×C11C22×D412yes—
286C23×C11C2×#4112yes—
287C23×C11C2×#4112yes—
288C23×C11C2×#4114yes—
289C23×C11C2511yescharacteristic
290Q8×C11—28no—
291D4×C11—216no—
292D4×C11—28no—
293D4×C11—416no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—216no—
297C2×C4×C11—24no—
298C2×C4×C11—22no—
299C2×C4×C11—24no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—24no—
303C2×C4×C11—44no—
304C2×C4×C11—48no—
305C2×C4×C11—48no—
306C2×C4×C11#123116yescomplemented
307C2×C4×C11C22×D414yes—
308C2×C4×C11C22×D412yes—
309C2×C4×C11C22×D412yes—
310C2×C4×C11C2×#4112yes—
311C2×C4×C11C2×#4112yes—
312C2×C4×C11C2×#4112yes—
313C2×C4×C11C2×#4112yes—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—24no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—24no—
324C2×Dic11—24no—
325C2×Dic11—22no—
326C2×Dic11—22no—
327C2×Dic11—22no—
328C2×Dic11—24no—
329C2×Dic11—24no—
330C2×Dic11—22no—
331C2×Dic11—48no—
332C2×Dic11—416no—
333C2×Dic11—48no—
334C2×Dic11C2×#4114yes—
335C2×Dic11C2×#4114yes—
336C22×#41C2×D1111yescharacteristic
337C24×C4C2×D1111yescharacteristic
338#525—28no—
339C2×#123—114no—
340C2×#123C2×D1112yes—
341C2×C22⋊Q8C2×D1112yes—
342C2×#121C2×D1112yes—
343C2×#120C2×D1112yes—
344C4×#41—228no—
345C2×C4×Q8—112no—
346C2×C4×D4—114no—
347C2×C4×D4—112no—
348C2×C4×D4C2×D1114yes—
349C2×#117—111no—
350C2×#117—111no—
351C2×#117—112no—
352C2×#117C2×D1111yescharacteristic
353C22×C22⋊C4—112no—
354C22×C42—111no—
355C22×C42—111no—
356C22×C42—112no—
357#400—114no—
358#399—114no—
359#398—114no—
360#397—114no—
361#397—114no—
362#397—114no—
363#394—114no—
364#394—114no—
365#391—111no—
366#391—111no—
367#390—111no—
368#390—111no—
369#389—112no—
370#389—112no—
371#388—114no—
372#388—114no—
373#387—114no—
374#387—114no—
375#386—114no—
376#386—114no—
377#385—114no—
378#385—114no—
379#384—112no—
380#382—112no—
381#381—112no—
382#381—114no—
383#380—112no—
384#380—112no—
385#380—114no—
386#379—112no—
387C4×C4⋊C4—112no—
388C4×C4⋊C4—114no—
389C4×C4⋊C4—112no—
390C4×C22⋊C4—112no—
391C4×C22⋊C4—114no—
392C4×C22⋊C4—114no—
393C4×C22⋊C4—112no—
394C4×C22⋊C4—112no—
395C4×C22⋊C4—112no—
396C2×#95—112no—
397C22×C11—22no—
398C22×C11—22no—
399C22×C11—24no—
400C22×C11—24no—
401C22×C11—24no—
402C22×C11—24no—
403C22×C11—24no—
404C22×C11—28no—
405C22×C11—24no—
406C22×C11—416no—
407C22×C11—42no—
408C22×C11—42no—
409C22×C11—42no—
410C22×C11—42no—
411C22×C11—42no—
412C22×C11—44no—
413C22×C11—42no—
414C22×C11C2×#12314yes—
415C22×C11C23×D411yescharacteristic
416C22×C11C22×#4111yescharacteristic
417C22×C11C22×#4111yescharacteristic
418C22×C11C22×#4112yes—
419C22×C11#58512yes—
420C4×C11—24no—
421C4×C11—42no—
422C4×C11—44no—
423C4×C11C2×#12314yes—
424C4×C11C2×#12314yes—
425Dic11—24no—
426Dic11—24no—
427Dic11—42no—
428Dic11—42no—
429Dic11—44no—
430Dic11—42no—
431Dic11—42no—
432C25C22×D1111yescharacteristic
433C2×#41—24no—
434C2×#41—24no—
435C2×#41C22⋊D1118yes—
436C22×Q8C22×D1111yescharacteristic
437C22×D4C22×D1114yes—
438C22×D4C22×D1112yes—
439C22×D4C22×D1111yescharacteristic
440C23×C4—24no—
441C23×C4—24no—
442C23×C4—24no—
443C23×C4—112no—
444C23×C4—112no—
445C23×C4—114no—
446C23×C4C22×D1112yes—
447C23×C4C22×D1111yescharacteristic
448C23×C4C22×D1112yes—
449C23×C4C22×D1112yes—
450C23×C4C22×D1111yescharacteristic
451#123—28no—
452#123—2216no—
453C22⋊Q8—28no—
454#121—28no—
455#120—28no—
456C4×Q8—228no—
457C4×D4—216no—
458C4×D4—2216no—
459C4×D4—228no—
460#117—24no—
461#117—224no—
462#117—228no—
463#117—224no—
464C2×C4⋊C4—112no—
465C2×C4⋊C4—114no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4—114no—
469C2×C4⋊C4—114no—
470C2×C4⋊C4—114no—
471C2×C4⋊C4—114no—
472C2×C4⋊C4C22×D1112yes—
473C2×C4⋊C4C22×D1114yes—
474C2×C22⋊C4—112no—
475C2×C22⋊C4—112no—
476C2×C22⋊C4—112no—
477C2×C22⋊C4—112no—
478C2×C22⋊C4—112no—
479C2×C22⋊C4—114no—
480C2×C22⋊C4—112no—
481C2×C22⋊C4—114no—
482C2×C22⋊C4—114no—
483C2×C22⋊C4—114no—
484C2×C22⋊C4—114no—
485C2×C22⋊C4—228no—
486C2×C22⋊C4C22×D1112yes—
487C2×C22⋊C4C22×D1114yes—
488C2×C22⋊C4C22×D1114yes—
489C2×C42—112no—
490C2×C42—114no—
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—112no—
494C2×C42—111no—
495C2×C42—112no—
496C2×C42—112no—
497C2×C42—111no—
498C2×C42—224no—
499C2×C42—228no—
500C2×C42—224no—
501C2×C42C22×D1112yes—
502#95—112no—
503#95—112no—
504#95—112no—
505#95—112no—
506#95—114no—
507#95—114no—
508#95—114no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95—114no—
513#95—114no—
514C2×C11—24no—
515C2×C11—44no—
516C2×C11—44no—
517C2×C11C22×#12311yescharacteristic
518C2×C11#344411yescharacteristic
519C2×C11#345511yescharacteristic
520C2×C11D4×#4112yes—
521C2×C11#347512yes—
522C24—22no—
523C24—24no—
524C24—22no—
525C24—22no—
526C24—42no—
527C24C23×D1112yes—
528C24C23×D1112yes—
529C24C23×D1111yescharacteristic
530#41—232no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8C2×C22⋊D1114yes—
534C2×D4—24no—
535C2×D4—24no—
536C2×D4—28no—
537C2×D4—28no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—44no—
541C2×D4C2×C22⋊D1118yes—
542C2×D4C2×C22⋊D1114yes—
543C22×C4—24no—
544C22×C4—24no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—24no—
551C22×C4—24no—
552C22×C4—24no—
553C22×C4—24no—
554C22×C4—416no—
555C22×C4—112no—
556C22×C4—112no—
557C22×C4—112no—
558C22×C4—112no—
559C22×C4—112no—
560C22×C4—112no—
561C22×C4—114no—
562C22×C4—224no—
563C22×C4—224no—
564C22×C4—228no—
565C22×C4—224no—
566C22×C4—228no—
567C22×C4—224no—
568C22×C4—442no—
569C22×C4—444no—
570C22×C4—442no—
571C22×C4#434114yes—
572C22×C4#434114yes—
573C22×C4C2×C22⋊D1118yes—
574C22×C4C2×C22⋊D1114yes—
575C22×C4C23×D1112yes—
576C22×C4C23×D1114yes—
577C22×C4C23×D1112yes—
578C22×C4C23×D1111yescharacteristic
579C22×C4C23×D1111yescharacteristic
580C4⋊C4—24no—
581C4⋊C4—28no—
582C4⋊C4—228no—
583C4⋊C4—228no—
584C4⋊C4—222no—
585C4⋊C4—222no—
586C4⋊C4—228no—
587C4⋊C4—224no—
588C4⋊C4—444no—
589C4⋊C4—444no—
590C22⋊C4—24no—
591C22⋊C4—28no—
592C22⋊C4—28no—
593C22⋊C4—118no—
594C22⋊C4—224no—
595C22⋊C4—224no—
596C22⋊C4—228no—
597C22⋊C4—224no—
598C22⋊C4—224no—
599C22⋊C4—228no—
600C22⋊C4—228no—
601C22⋊C4—224no—
602C22⋊C4—444no—
603C22⋊C4—444no—
604C42—24no—
605C42—222no—
606C42—224no—
607C42—222no—
608C42—224no—
609C42—222no—
610C42—224no—
611C42—222no—
612C42—228no—
613C42—224no—
614C11#3474211yescharacteristic, complemented, Sylow
615C23—22no—
616C23—22no—
617C23—28no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—24no—
624C23—22no—
625C23—24no—
626C23—22no—
627C23—22no—
628C23—48no—
629C23—48no—
630C23—44no—
631C23—44no—
632C23C2×#434112yes—
633C23C2×#434112yes—
634C23#41×D1114yes—
635C23C22×C22⋊D1114yes—
636C23C22×C22⋊D1112yes—
637C23C24×D1111yescharacteristic
638Q8—28no—
639D4—216no—
640D4—28no—
641D4—416no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—216no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—44no—
652C2×C4—48no—
653C2×C4—48no—
654C2×C4—114no—
655C2×C4—114no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—224no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—222no—
669C2×C4—224no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—224no—
673C2×C4—448no—
674C2×C4—448no—
675C2×C4—4416no—
676C2×C4#66988116yescomplemented
677C2×C4C2×#434112yes—
678C2×C4C2×#434112yes—
679C2×C4C2×#434112yes—
680C2×C4C2×#434112yes—
681C2×C4C22×C22⋊D1114yes—
682C2×C4C22×C22⋊D1112yes—
683C2×C4C22×C22⋊D1112yes—
684C22—22no—
685C22—24no—
686C22—22no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—28no—
691C22—24no—
692C22—24no—
693C22—416no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22C2×#6698814yes—
702C22C22×#434111yescharacteristic
703C22C22×#434111yescharacteristic
704C22C2×#41×D1112yes—
705C22#1062345312yes—
706C22C23×C22⋊D1111yescharacteristic
707C4—24no—
708C4—44no—
709C4—42no—
710C4—224no—
711C4—224no—
712C4—442no—
713C4—442no—
714C4—442no—
715C4—442no—
716C4—444no—
717C4C2×#6698814yes—
718C4C2×#6698814yes—
719C2—24no—
720C2—44no—
721C2—44no—
722C2C22×#6698811yescharacteristic
723C2#1308190811yescharacteristic
724C2#1308200411yescharacteristic
725C2#41×C22⋊D1112yes—
726C2#1308217612yes—
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
Fitting, prime radicalC2×C11×#525C2
hypercenterC2×#525D11
hypocenterC11#34742
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#41×Dic11C2semidirect
2. #13072137C2semidirect
3. #13072126C2semidirect
4. #13072115C2semidirect
5. #13072104C2semidirect
6. #13072089C2semidirect
7. #13072074C2semidirect
8. #13071875C2semidirect
9. C4×#66988C2semidirect
10. #13071107C2semidirect
11. #13071098C2semidirect
12. #13071019C2semidirect
13. #13070999C2semidirect
14. C2×C4×C22⋊Dic11C2semidirect
27. C2×Q8×Dic11C22semidirect
30. C2×D4×Dic11C22semidirect
33. C2×#66979C22semidirect
36. C22×C4×Dic11C22semidirect
38. #10622843C22semidirect
39. #10622843C22semidirect
42. #10622834C22semidirect
43. #10622834C22semidirect
54. C4×C22⋊Dic11C22semidirect
56. #10622599C22semidirect
57. #10622596C22semidirect
58. #10622591C22semidirect
59. #10622591C22semidirect
60. #10622590C22semidirect
61. #10622589C22semidirect
62. #10622586C22semidirect
63. #10622586C22semidirect
65. #10622565C22semidirect
66. #10622565C22semidirect
69. #10622559C22semidirect
72. #10622556C22semidirect
74. C4×Dic11⋊C4C22semidirect
75. C4×Dic11⋊C4C22semidirect
76. C4×Dic11⋊C4C22semidirect
234. C22⋊Dic11#41semidirect
306. C2×C4×C11#123semidirect
614. C11#34742semidirect
676. C2×C4#66988semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic112
#130721372
#130721262
#130721152
#130721042
#130720892
#130720742
#130718752
C4×#669882
#130711072
#130710982
#130710192
#130709992
C2×C4×C22⋊Dic112
C2×C11×#5252
#3474211