Finite Group Databasebeta

← #14923729

Subgroups — #14923729

Order 2816.

2646 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×#10623048C211yesmaximal, characteristic, complemented
2#13072992C212yesmaximal, complemented
3#13072981C212yesmaximal, complemented
4#13072970C212yesmaximal, complemented
5#13072959C212yesmaximal, complemented
6#13072946C214yesmaximal, complemented
7#13072741C214yesmaximal, complemented
8#13071900C214yesmaximal, complemented
9C4×#66989C214yesmaximal, complemented
10#13071107C211yesmaximal, characteristic, complemented
11#13071107C211yesmaximal, characteristic, complemented
12#13070999C211yesmaximal, characteristic, complemented
13#117×Dic11C211yesmaximal, 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—
26C2×#66989C2214yes—
27C2×#66979C2211yescharacteristic
28C2×#66979C2211yescharacteristic
29C22×C4×Dic11C2211yescharacteristic
30C22×C4×Dic11C2211yescharacteristic
31#10623048—28no—
32C2×#66943C2212yescomplemented
33C2×#66941C2212yescomplemented
34C2×#66931C2214yes—
35C2×C4×Dic22C2214yescomplemented
36#10622860C2212yes—
37#10622843C2211yescharacteristic, complemented
38#10622843C2212yescomplemented
39#10622843C2211yescharacteristic, complemented
40#10622835C2214yes—
41#10622835C2214yes—
42#10622834C2214yes—
43#10622834C2211yescharacteristic, complemented
44#10622834C2212yescomplemented
45#10622834C2211yescharacteristic, complemented
46#10622833C2214yes—
47#10622833C2214yes—
48#10622825C2212yes—
49#10622825C2212yes—
50#10622824C2212yes—
51C4×C22⋊Dic11C2212yes—
52C4×C22⋊Dic11C2214yes—
53C4×C22⋊Dic11C2212yes—
54C4×C22⋊Dic11C2212yes—
55C4×C22⋊Dic11C2212yes—
56C4×C22⋊Dic11C2212yescomplemented
57C4×C22⋊Dic11C2214yescomplemented
58C4×C22⋊Dic11C2212yescomplemented
59C2×C11⋊#95C2212yes—
60#10622595C2214yescomplemented
61#10622595C2214yescomplemented
62#10622590C2214yescomplemented
63C4⋊C4×Dic11C2212yescomplemented
64C4⋊C4×Dic11C2212yescomplemented
65#10622587C2214yescomplemented
66#10622566C2214yes—
67#10622566C2214yescomplemented
68#10622560C2214yes—
69#10622560C2214yescomplemented
70#10622558C2214yes—
71#10622558C2214yes—
72#10622558C2214yescomplemented
73#10622558C2214yescomplemented
74C22⋊C4×Dic11C2214yes—
75#10622545C2212yescomplemented
76C42×Dic11C2212yescomplemented
77C25×C11C2311yescharacteristic
78C2×C11×#41—24no—
79C2×C11×#41—24no—
80C2×C11×#41—24no—
81C22×Q8×C11C2311yescharacteristic
82C22×D4×C11C2312yes—
83C22×D4×C11C2311yescharacteristic
84C22×D4×C11C2314yes—
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—
95C22×Dic22C2314yes—
96C11×#123—28no—
97C11×C22⋊Q8—28no—
98C11×#121—28no—
99C11×#120—28no—
100C4×D4×C11—216no—
101C11×#117D418yes—
102C2×C11×C4⋊C4C2314yes—
103C2×C11×C4⋊C4C2312yes—
104C2×C11×C22⋊C4C2314yes—
105C2×C11×C22⋊C4C2314yes—
106C2×C11×C22⋊C4C2312yes—
107C2×C42×C11C2312yes—
108C2×C22⋊Dic11—28no—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2314yes—
114C2×C22⋊Dic11C2314yes—
115C2×C22⋊Dic11C2312yes—
116C2×C22⋊Dic11C2312yes—
117C2×C22⋊Dic11C2314yes—
118C2×C22⋊Dic11C2314yes—
119C2×C22⋊Dic11C2314yes—
120C2×C22⋊Dic11C2312yes—
121#66989—216no—
122#66979—24no—
123#66979—24no—
124C2×C4⋊Dic11C2314yes—
125C2×C4⋊Dic11C2312yes—
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2311yescharacteristic
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2314yes—
130C2×C4×Dic11—24no—
131C2×C4×Dic11—24no—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2311yescharacteristic
136C2×C4×Dic11C2311yescharacteristic
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2314yes—
139C2×C4×Dic11C2311yescharacteristic
140C2×C4×Dic11C2312yes—
141C2×C4×Dic11C2314yes—
142#66943—28no—
143#66941—28no—
144#66931—216no—
145C4×Dic22—216no—
146C11⋊#95C2314yes—
147C11⋊#95C2314yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2312yes—
152C11⋊#95C2312yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2312yes—
157C11⋊#95C2312yes—
158#34813—111nomaximal, Sylow
159C24×C11—24no—
160C24×C11—22no—
161C24×C11—22no—
162C24×C11—22no—
163C24×C11—42no—
164C24×C11C2412yes—
165C24×C11C2412yes—
166C24×C11C2411yescharacteristic
167C11×#41—416no—
168C2×Q8×C11—22no—
169C2×Q8×C11—22no—
170C2×Q8×C11—22no—
171C2×D4×C11—24no—
172C2×D4×C11—28no—
173C2×D4×C11—24no—
174C2×D4×C11—24no—
175C2×D4×C11—28no—
176C2×D4×C11—22no—
177C2×D4×C11—22no—
178C2×D4×C11—22no—
179C2×D4×C11—44no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—22no—
183C22×C4×C11—24no—
184C22×C4×C11—24no—
185C22×C4×C11—24no—
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×D414yes—
194C22×C4×C11#4114yes—
195C22×C4×C11#4114yes—
196C22×C4×C11C2412yes—
197C22×C4×C11C2412yes—
198C22×C4×C11C2414yes—
199C22×C4×C11C2411yescharacteristic
200C22×C4×C11C2411yescharacteristic
201C22×Dic11—24no—
202C22×Dic11—24no—
203C22×Dic11—24no—
204C22×Dic11—24no—
205C22×Dic11—42no—
206C22×Dic11—42no—
207C22×Dic11C2412yes—
208C22×Dic11C2412yes—
209C22×Dic11C2412yes—
210C22×Dic11C2412yes—
211C22×Dic11C2414yes—
212C22×Dic11C2412yes—
213C22×Dic11C2412yes—
214C2×Dic22—28no—
215C2×Dic22—28no—
216C2×Dic22—44no—
217C11×C4⋊C4—28no—
218C11×C4⋊C4C2×D418yes—
219C11×C22⋊C4—28no—
220C11×C22⋊C4—28no—
221C11×C22⋊C4C2×D418yes—
222C42×C11C2×D418yes—
223C22⋊Dic11—28no—
224C22⋊Dic11—28no—
225C22⋊Dic11—24no—
226C22⋊Dic11—24no—
227C22⋊Dic11—24no—
228C22⋊Dic11—24no—
229C22⋊Dic11—28no—
230C22⋊Dic11—24no—
231C22⋊Dic11—44no—
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—
241C4×Dic11—28no—
242C4×Dic11—24no—
243C4×Dic11—24no—
244C4×Dic11—22no—
245C4×Dic11—22no—
246C4×Dic11—22no—
247C4×Dic11—22no—
248C4×Dic11—24no—
249C4×Dic11—24no—
250C4×Dic11—44no—
251C2×#533—111no—
252C2×#525D1111yescharacteristic
253#2492—112no—
254#2491—112no—
255#2490—112no—
256#2489—112no—
257#2488—114no—
258#2472—114no—
259#2398—114no—
260C4×#124—114no—
261#2297—111no—
262#2297—111no—
263#2280—111no—
264C4×#117—111no—
265C2×C4×C22⋊C4—111no—
266C23×C11—22no—
267C23×C11—22no—
268C23×C11—28no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—22no—
272C23×C11—22no—
273C23×C11—22no—
274C23×C11—22no—
275C23×C11—22no—
276C23×C11—24no—
277C23×C11—22no—
278C23×C11—22no—
279C23×C11—24no—
280C23×C11—48no—
281C23×C11—48no—
282C23×C11—44no—
283C23×C11—44no—
284C23×C11C22×D412yes—
285C23×C11C2×#4112yes—
286C23×C11C2×#4112yes—
287C23×C11C2×#4114yes—
288C23×C11C2511yescharacteristic
289Q8×C11—44no—
290D4×C11—416no—
291D4×C11—48no—
292D4×C11—44no—
293C2×C4×C11—24no—
294C2×C4×C11—24no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—44no—
302C2×C4×C11—48no—
303C2×C4×C11—48no—
304C2×C4×C11—48no—
305C2×C4×C11#124116yescomplemented
306C2×C4×C11C22×D418yes—
307C2×C4×C11C22×D412yes—
308C2×C4×C11C22×D412yes—
309C2×C4×C11C2×#4112yes—
310C2×C4×C11C2×#4112yes—
311C2×C4×C11C2×#4112yes—
312C2×C4×C11C2×#4112yes—
313C2×Dic11—22no—
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—24no—
323C2×Dic11—24no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—24no—
327C2×Dic11—24no—
328C2×Dic11—22no—
329C2×Dic11—22no—
330C2×Dic11—48no—
331C2×Dic11—48no—
332C2×Dic11C2×#4114yes—
333C2×Dic11C2×#4114yes—
334Dic22—416no—
335C22×#41C2×D1111yescharacteristic
336C24×C4C2×D1111yescharacteristic
337#533—228no—
338C2×C4⋊Q8—112no—
339C2×#125—112no—
340C2×#124—114no—
341#525—28no—
342C2×#123C2×D1112yes—
343C2×C22⋊Q8—114no—
344C2×C22⋊Q8C2×D1112yes—
345C2×#121C2×D1112yes—
346C2×#120C2×D1112yes—
347C2×C4×Q8—114no—
348C2×C4×D4C2×D1114yes—
349C2×#117—111no—
350C2×#117—111no—
351C2×#117C2×D1111yescharacteristic
352C22×C22⋊C4—112no—
353C22×C42—111no—
354C22×C42—111no—
355#400—114no—
356#400—114no—
357#397—114no—
358#397—114no—
359#394—114no—
360#394—114no—
361#393—114no—
362#393—114no—
363#391—111no—
364#391—112no—
365#391—111no—
366#391—114no—
367#390—114no—
368#390—111no—
369#390—112no—
370#390—111no—
371#388—114no—
372#388—114no—
373#388—114no—
374#388—114no—
375#386—114no—
376#386—114no—
377#382—114no—
378#381—112no—
379#380—112no—
380#380—112no—
381#379—112no—
382C4×C4⋊C4—112no—
383C4×C4⋊C4—112no—
384C4×C22⋊C4—112no—
385C4×C22⋊C4—112no—
386C4×C22⋊C4—114no—
387C4×C22⋊C4—114no—
388C4×C22⋊C4—112no—
389C4×C22⋊C4—112no—
390C4×C22⋊C4—112no—
391C4×C22⋊C4—112no—
392C4×C22⋊C4—114no—
393#376—112no—
394C2×#95—112no—
395C43—112no—
396C22×C11—22no—
397C22×C11—22no—
398C22×C11—24no—
399C22×C11—24no—
400C22×C11—24no—
401C22×C11—24no—
402C22×C11—24no—
403C22×C11—416no—
404C22×C11—42no—
405C22×C11—42no—
406C22×C11—42no—
407C22×C11—42no—
408C22×C11—42no—
409C22×C11—42no—
410C22×C11—42no—
411C22×C11—44no—
412C22×C11—44no—
413C22×C11C2×#12414yes—
414C22×C11C23×D411yescharacteristic
415C22×C11C22×#4111yescharacteristic
416C22×C11C22×#4111yescharacteristic
417C22×C11C22×#4112yes—
418C22×C11#58512yes—
419C4×C11—28no—
420C4×C11—42no—
421C4×C11—42no—
422C4×C11C2×#12414yes—
423C4×C11C2×#12414yes—
424Dic11—24no—
425Dic11—24no—
426Dic11—42no—
427Dic11—42no—
428Dic11—44no—
429Dic11—42no—
430Dic11—42no—
431C25C22×D1111yescharacteristic
432C2×#41—24no—
433C2×#41—24no—
434C2×#41—24no—
435C22×Q8—114no—
436C22×Q8C22×D1111yescharacteristic
437C22×D4C22×D1112yes—
438C22×D4C22×D1111yescharacteristic
439C22×D4C22×D1114yes—
440C23×C4—24no—
441C23×C4—24no—
442C23×C4—24no—
443C23×C4—112no—
444C23×C4—112no—
445C23×C4C22×D1112yes—
446C23×C4C22×D1111yescharacteristic
447C23×C4C22×D1112yes—
448C23×C4C22×D1112yes—
449C23×C4C22×D1111yescharacteristic
450C4⋊Q8—228no—
451#125—228no—
452#124—2216no—
453#123—28no—
454C22⋊Q8—28no—
455C22⋊Q8—2216no—
456#121—28no—
457#120—28no—
458C4×Q8—2216no—
459C4×D4—216no—
460#117—224no—
461#117—224no—
462#117C22⋊D1118yes—
463C2×C4⋊C4—112no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—114no—
467C2×C4⋊C4—114no—
468C2×C4⋊C4—114no—
469C2×C4⋊C4C22×D1114yes—
470C2×C4⋊C4C22×D1112yes—
471C2×C22⋊C4—112no—
472C2×C22⋊C4—112no—
473C2×C22⋊C4—112no—
474C2×C22⋊C4—112no—
475C2×C22⋊C4—112no—
476C2×C22⋊C4—112no—
477C2×C22⋊C4—114no—
478C2×C22⋊C4—114no—
479C2×C22⋊C4—114no—
480C2×C22⋊C4—114no—
481C2×C22⋊C4—114no—
482C2×C22⋊C4—114no—
483C2×C22⋊C4—228no—
484C2×C22⋊C4C22×D1114yes—
485C2×C22⋊C4C22×D1114yes—
486C2×C22⋊C4C22×D1112yes—
487C2×C42—114no—
488C2×C42—111no—
489C2×C42—111no—
490C2×C42—112no—
491C2×C42—112no—
492C2×C42—112no—
493C2×C42—112no—
494C2×C42—111no—
495C2×C42—111no—
496C2×C42—114no—
497C2×C42—224no—
498C2×C42—224no—
499C2×C42C22×D1112yes—
500#95—112no—
501#95—112no—
502#95—112no—
503#95—112no—
504#95—114no—
505#95—114no—
506#95—114no—
507#95—114no—
508#95—114no—
509#95—114no—
510#95—114no—
511#95—114no—
512C2×C11—24no—
513C2×C11—44no—
514C2×C11—82no—
515C2×C11C22×#12411yescharacteristic
516C2×C11#344411yescharacteristic
517C2×C11#345511yescharacteristic
518C2×C11D4×#4112yes—
519C2×C11#347512yes—
520C24—22no—
521C24—24no—
522C24—22no—
523C24—22no—
524C24—42no—
525C24C23×D1112yes—
526C24C23×D1112yes—
527C24C23×D1111yescharacteristic
528#41—416no—
529C2×Q8—22no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—228no—
533C2×Q8—228no—
534C2×Q8—444no—
535C2×D4—24no—
536C2×D4—24no—
537C2×D4—28no—
538C2×D4—24no—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—28no—
542C2×D4—22no—
543C2×D4—44no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—24no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—24no—
551C22×C4—24no—
552C22×C4—24no—
553C22×C4—24no—
554C22×C4—24no—
555C22×C4—24no—
556C22×C4—416no—
557C22×C4—112no—
558C22×C4—112no—
559C22×C4—112no—
560C22×C4—112no—
561C22×C4—112no—
562C22×C4—112no—
563C22×C4—114no—
564C22×C4—224no—
565C22×C4—224no—
566C22×C4—224no—
567C22×C4—224no—
568C22×C4—442no—
569C22×C4—442no—
570C22×C4#434114yes—
571C22×C4#434114yes—
572C22×C4C2×C22⋊D1114yes—
573C22×C4C23×D1112yes—
574C22×C4C23×D1112yes—
575C22×C4C23×D1114yes—
576C22×C4C23×D1111yescharacteristic
577C22×C4C23×D1111yescharacteristic
578C4⋊C4—28no—
579C4⋊C4—222no—
580C4⋊C4—222no—
581C4⋊C4—224no—
582C4⋊C4—228no—
583C4⋊C4—228no—
584C4⋊C4—228no—
585C4⋊C4C2×C22⋊D1118yes—
586C22⋊C4—28no—
587C22⋊C4—28no—
588C22⋊C4—118no—
589C22⋊C4—224no—
590C22⋊C4—224no—
591C22⋊C4—228no—
592C22⋊C4—228no—
593C22⋊C4—224no—
594C22⋊C4—224no—
595C22⋊C4—228no—
596C22⋊C4—224no—
597C22⋊C4—444no—
598C22⋊C4—444no—
599C22⋊C4—444no—
600C22⋊C4C2×C22⋊D1118yes—
601C42—228no—
602C42—222no—
603C42—224no—
604C42—222no—
605C42—224no—
606C42—224no—
607C42—222no—
608C42—222no—
609C42—224no—
610C42—444no—
611C42C2×C22⋊D1118yes—
612C11#3481311yescharacteristic, complemented, Sylow
613C23—22no—
614C23—22no—
615C23—28no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—24no—
625C23—24no—
626C23—22no—
627C23—48no—
628C23—48no—
629C23—44no—
630C23—44no—
631C23C2×#434112yes—
632C23C2×#434112yes—
633C23#41×D1114yes—
634C23C22×C22⋊D1112yes—
635C23C24×D1111yescharacteristic
636Q8—44no—
637Q8—4416no—
638D4—416no—
639D4—48no—
640D4—44no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—48no—
653C2×C4—114no—
654C2×C4—114no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—224no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—224no—
670C2×C4—222no—
671C2×C4—224no—
672C2×C4—448no—
673C2×C4—448no—
674C2×C4#66989116yescomplemented
675C2×C4C2×#434112yes—
676C2×C4C2×#434112yes—
677C2×C4C2×#434112yes—
678C2×C4C2×#434112yes—
679C2×C4C22×C22⋊D1118yes—
680C2×C4C22×C22⋊D1112yes—
681C2×C4C22×C22⋊D1112yes—
682C22—22no—
683C22—24no—
684C22—22no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—416no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—42no—
698C22—44no—
699C22C2×#6698914yes—
700C22C22×#434111yescharacteristic
701C22C22×#434111yescharacteristic
702C22C2×#41×D1112yes—
703C22#1062345312yes—
704C22C23×C22⋊D1111yescharacteristic
705C4—28no—
706C4—42no—
707C4—42no—
708C4—224no—
709C4—224no—
710C4—442no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4—444no—
715C4C2×#6698914yes—
716C4C2×#6698914yes—
717C2—24no—
718C2—44no—
719C2—82no—
720C2C22×#6698911yescharacteristic
721C2#1308190811yescharacteristic
722C2#1308200411yescharacteristic
723C2#41×C22⋊D1112yes—
724C2#1308217612yes—
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
Fitting, prime radicalC2×C11×#525C2
hypercenterC2×#525D11
hypocenterC11#34813
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×#10623048C2semidirect
2. #13072992C2semidirect
3. #13072981C2semidirect
4. #13072970C2semidirect
5. #13072959C2semidirect
6. #13072946C2semidirect
7. #13072741C2semidirect
8. #13071900C2semidirect
9. C4×#66989C2semidirect
10. #13071107C2semidirect
11. #13071107C2semidirect
12. #13070999C2semidirect
13. #117×Dic11C2semidirect
14. C2×C4×C22⋊Dic11C2semidirect
32. C2×#66943C22semidirect
33. C2×#66941C22semidirect
35. C2×C4×Dic22C22semidirect
37. #10622843C22semidirect
38. #10622843C22semidirect
39. #10622843C22semidirect
43. #10622834C22semidirect
44. #10622834C22semidirect
45. #10622834C22semidirect
56. C4×C22⋊Dic11C22semidirect
57. C4×C22⋊Dic11C22semidirect
58. C4×C22⋊Dic11C22semidirect
60. #10622595C22semidirect
61. #10622595C22semidirect
62. #10622590C22semidirect
63. C4⋊C4×Dic11C22semidirect
64. C4⋊C4×Dic11C22semidirect
65. #10622587C22semidirect
67. #10622566C22semidirect
69. #10622560C22semidirect
72. #10622558C22semidirect
73. #10622558C22semidirect
75. #10622545C22semidirect
76. C42×Dic11C22semidirect
234. C22⋊Dic11#41semidirect
305. C2×C4×C11#124semidirect
612. C11#34813semidirect
674. C2×C4#66989semidirect

Maximal subgroups

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

subgroupindex
C2×#106230482
#130729922
#130729812
#130729702
#130729592
#130729462
#130727412
#130719002
C4×#669892
#130711072
#130709992
#117×Dic112
C2×C4×C22⋊Dic112
C2×C11×#5252
#3481311