Finite Group Databasebeta

← #14923726

Subgroups — #14923726

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×#10623001C211yesmaximal, characteristic, complemented
2C2×#10623322C211yesmaximal, characteristic
3#13072990C212yesmaximal, complemented
4#13072979C212yesmaximal, complemented
5#13072968C212yesmaximal, complemented
6#13072957C212yesmaximal, complemented
7#13072942C214yesmaximal, complemented
8#13072736C214yesmaximal, complemented
9#13071903C214yesmaximal, complemented
10C4×#66938C214yesmaximal, complemented
11#13071106C211yesmaximal, characteristic, complemented
12#13071106C211yesmaximal, characteristic, complemented
13#13070999C211yesmaximal, characteristic, complemented
14C4×#66979C211yesmaximal, characteristic, complemented
15C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
16C24×C4×C11C2211yescharacteristic
17C22×#4339C2211yescharacteristic
18C22×C11×C22⋊C4C2212yes—
19C22×C42×C11C2211yescharacteristic
20C22×C42×C11C2211yescharacteristic
21C2×#67006C2212yes—
22#10623322—28no—
23C2×#66983C2212yes—
24C2×#66982C2212yes—
25C2×C4×C22⋊D11C2214yes—
26C2×#66979C2211yescharacteristic
27C2×#66979C2211yescharacteristic
28C2×#66979C2211yescharacteristic
29C2×#66977C2212yes—
30C2×#66977C2214yes—
31C2×#66938C2214yes—
32#10623001—28no—
33C2×#66923C2212yescomplemented
34C2×#66922C2212yescomplemented
35C2×C4×Dic22C2214yescomplemented
36C4×C11×C22⋊C4C2212yes—
37C4×C11×C22⋊C4C2212yes—
38C4×C11×C22⋊C4C2212yes—
39C4×C11×C22⋊C4C2212yes—
40C2×C11×#95C2212yes—
41#10622860C2212yes—
42#10622826C2214yes—
43#10622826C2214yes—
44#10622825C2212yes—
45#10622825C2212yes—
46#10622824C2212yes—
47C4×C22⋊Dic11C2214yes—
48C4×C22⋊Dic11C2214yes—
49#10622574C2214yes—
50#10622572C2214yes—
51#10622570C2214yes—
52#10622565C2214yes—
53#10622564C2214yes—
54#10622560C2214yes—
55#10622557C2214yes—
56#10622552C2211yescharacteristic, complemented
57#10622552C2212yescomplemented
58#10622552C2211yescharacteristic, complemented
59C4×(C2×D11)⋊C4C2212yescomplemented
60C4×(C2×D11)⋊C4C2214yescomplemented
61C4×(C2×D11)⋊C4C2212yescomplemented
62C4×C4⋊Dic11C2212yescomplemented
63C4×C4⋊Dic11C2212yescomplemented
64#10622545C2212yescomplemented
65C42×Dic11C2212yescomplemented
66#10622542C2211yescharacteristic, complemented
67#10622542C2212yescomplemented
68#10622542C2211yescharacteristic, complemented
69#10622288C2214yescomplemented
70#10622286C2214yescomplemented
71#10622283C2214yescomplemented
72#10622282C2214yescomplemented
73#10622273C2214yescomplemented
74#10622271C2214yescomplemented
75#10622263C2214yescomplemented
76#10622259C2214yescomplemented
77C25×C11C2311yescharacteristic
78C23×C4×C11—24no—
79C23×C4×C11—24no—
80C23×C4×C11—24no—
81C23×C4×C11C2312yes—
82C23×C4×C11C2312yes—
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2312yes—
85C23×C4×C11C2312yes—
86C23×C4×C11C2311yescharacteristic
87C22×C22⋊D11C2312yes—
88C22×C22⋊D11C2314yes—
89C2×#4339—24no—
90C2×#4339—24no—
91C2×#4339—24no—
92C22×D44C2311yescharacteristic
93C22×C4×D11C2312yes—
94C22×Dic22C2311yescharacteristic
95C22×Dic22C2314yes—
96C2×C11×C22⋊C4—28no—
97C2×C11×C22⋊C4C2312yes—
98C2×C11×C22⋊C4C2312yes—
99C2×C11×C22⋊C4C2312yes—
100C2×C11×C22⋊C4C2312yes—
101C2×C42×C11—24no—
102C2×C42×C11—24no—
103C2×C42×C11C2312yes—
104C2×C42×C11C2311yescharacteristic
105C2×C42×C11C2311yescharacteristic
106C2×C42×C11C2312yes—
107C2×C42×C11C2311yescharacteristic
108C2×C42×C11C2311yescharacteristic
109#67006—28no—
110C2×C22⋊Dic11C2314yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2314yes—
115C2×C22⋊Dic11C2312yes—
116#66983—28no—
117#66982—28no—
118C4×C22⋊D11—216no—
119C2×(C2×D11)⋊C4C2314yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2314yes—
122C2×(C2×D11)⋊C4C2314yes—
123C2×(C2×D11)⋊C4C2314yes—
124#66979—24no—
125#66979—24no—
126#66979D418yes—
127C2×C4⋊Dic11C2314yes—
128C2×C4⋊Dic11C2312yes—
129C2×C4⋊Dic11C2311yescharacteristic
130C2×C4⋊Dic11C2311yescharacteristic
131C2×C4⋊Dic11C2312yes—
132#66977—216no—
133#66977—28no—
134C2×Dic11⋊C4C2314yes—
135C2×Dic11⋊C4C2314yes—
136C2×Dic11⋊C4C2314yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2314yes—
139C2×C4×Dic11C2312yes—
140C2×C4×Dic11C2314yes—
141C2×C4×Dic11C2312yes—
142#66938—216no—
143#66923—28no—
144#66922—28no—
145C4×Dic22—216no—
146C11×#95C2312yes—
147C11×#95C2312yes—
148C11×#95C2312yes—
149C11×#95C2312yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158#34813—111nomaximal, Sylow
159C24×C11—24no—
160C24×C11—22no—
161C24×C11—22no—
162C24×C11—22no—
163C24×C11—42no—
164C24×C11C2412yes—
165C24×C11C2411yescharacteristic
166C23×D11C2412yes—
167C22×C4×C11—24no—
168C22×C4×C11—22no—
169C22×C4×C11—24no—
170C22×C4×C11—22no—
171C22×C4×C11—22no—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—24no—
175C22×C4×C11—24no—
176C22×C4×C11—24no—
177C22×C4×C11—24no—
178C22×C4×C11—24no—
179C22×C4×C11—24no—
180C22×C4×C11—42no—
181C22×C4×C11—42no—
182C22×C4×C11—416no—
183C22×C4×C11C2×D414yes—
184C22×C4×C11#4114yes—
185C22×C4×C11#4114yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2412yes—
188C22×C4×C11C2412yes—
189C22×C4×C11C2412yes—
190C22×C4×C11C2412yes—
191C22×C4×C11C2411yescharacteristic
192C22×C4×C11C2411yescharacteristic
193C2×C22⋊D11—28no—
194C2×C22⋊D11—24no—
195C2×C22⋊D11—28no—
196C2×C22⋊D11—24no—
197C2×C22⋊D11—24no—
198C2×C22⋊D11—44no—
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2414yes—
203C22×Dic11C2414yes—
204#4339—416no—
205C2×D44—22no—
206C2×D44—22no—
207C2×D44—22no—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—24no—
211C2×Dic22—28no—
212C2×Dic22—22no—
213C2×Dic22—28no—
214C2×Dic22—22no—
215C2×Dic22—22no—
216C2×Dic22—44no—
217C11×C22⋊C4—24no—
218C11×C22⋊C4—24no—
219C11×C22⋊C4—24no—
220C11×C22⋊C4#4118yescomplemented
221C42×C11—24no—
222C42×C11—22no—
223C42×C11—22no—
224C42×C11—22no—
225C42×C11—24no—
226C42×C11—22no—
227C22⋊Dic11—28no—
228C22⋊Dic11—24no—
229C22⋊Dic11—28no—
230C22⋊Dic11—24no—
231C22⋊Dic11—44no—
232C22⋊Dic11C2×D418yes—
233(C2×D11)⋊C4—28no—
234(C2×D11)⋊C4—28no—
235(C2×D11)⋊C4—28no—
236(C2×D11)⋊C4—44no—
237(C2×D11)⋊C4—44no—
238C4⋊Dic11—28no—
239C4⋊Dic11—24no—
240C4⋊Dic11—22no—
241C4⋊Dic11—22no—
242C4⋊Dic11C2×D418yes—
243Dic11⋊C4—28no—
244Dic11⋊C4—28no—
245Dic11⋊C4—28no—
246C4×Dic11—24no—
247C4×Dic11—28no—
248C4×Dic11—24no—
249C4×Dic11—44no—
250C4×Dic11C2×D418yes—
251C2×#533—111no—
252C2×#525—111no—
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⋊C4D1111yescharacteristic, complemented
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—48no—
276C23×C11—48no—
277C23×C11—44no—
278C23×C11—44no—
279C23×C11C22×D412yes—
280C23×C11C2×#4114yes—
281C23×C11C2×#4112yes—
282C23×C11C2×#4112yes—
283C23×C11C2511yescharacteristic
284C22×D11—22no—
285C22×D11—24no—
286C22×D11—22no—
287C22×D11—22no—
288C22×D11—24no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
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—22no—
302C2×C4×C11—48no—
303C2×C4×C11—48no—
304C2×C4×C11—44no—
305C2×C4×C11—48no—
306C2×C4×C11—48no—
307C2×C4×C11#124116yescomplemented
308C2×C4×C11C22×D412yes—
309C2×C4×C11C22×D412yes—
310C2×C4×C11C2×#4114yes—
311C2×C4×C11C2×#4114yes—
312C2×C4×C11C2×#4112yes—
313C2×C4×C11C2×#4112yes—
314C2×C4×C11C2×#4112yes—
315C2×C4×C11C2×#4112yes—
316C22⋊D11—416no—
317C22⋊D11—48no—
318C2×Dic11—24no—
319C2×Dic11—24no—
320C2×Dic11—24no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—24no—
325C2×Dic11—24no—
326C2×Dic11—22no—
327C2×Dic11—22no—
328C2×Dic11—24no—
329C2×Dic11—24no—
330C2×Dic11C22×D418yes—
331D44—44no—
332C4×D11—48no—
333Dic22—416no—
334Dic22—44no—
335C22×#41—111no—
336C24×C4C2×D1111yescharacteristic
337#533—228no—
338C2×C4⋊Q8—112no—
339C2×#125—112no—
340C2×#124—114no—
341#525—228no—
342C2×#123—112no—
343C2×C22⋊Q8—112no—
344C2×C22⋊Q8—114no—
345C2×#121—112no—
346C2×#120—112no—
347C2×C4×Q8—114no—
348C2×C4×D4—114no—
349C2×#117—111no—
350C2×#117—111no—
351C2×#117—111no—
352C22×C22⋊C4C2×D1112yes—
353C22×C42C2×D1111yescharacteristic
354C22×C42C2×D1111yescharacteristic
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—114no—
385C4×C22⋊C4—114no—
386C4×C22⋊C4—112no—
387C4×C22⋊C4—114no—
388C4×C22⋊C4—112no—
389C4×C22⋊C4C2×D1112yes—
390C4×C22⋊C4C2×D1112yes—
391C4×C22⋊C4C2×D1112yes—
392C4×C22⋊C4C2×D1112yes—
393#376—112no—
394C2×#95C2×D1112yes—
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×C11C2×#12414yes—
409C22×C11C23×D411yescharacteristic
410C22×C11C22×#4111yescharacteristic
411C22×C11C22×#4112yes—
412C22×C11C22×#4111yescharacteristic
413C22×C11#58512yes—
414C2×D11—42no—
415C2×D11—42no—
416C2×D11—42no—
417C2×D11—44no—
418C2×D11—44no—
419C4×C11—24no—
420C4×C11—24no—
421C4×C11—42no—
422C4×C11—42no—
423C4×C11—42no—
424C4×C11C2×#12414yes—
425C4×C11C2×#12414yes—
426Dic11—28no—
427Dic11—42no—
428Dic11—42no—
429Dic11—42no—
430Dic11—44no—
431C25C22×D1111yescharacteristic
432C2×#41—224no—
433C2×#41—224no—
434C2×#41—224no—
435C22×Q8—111no—
436C22×Q8—114no—
437C22×D4—112no—
438C22×D4—114no—
439C22×D4—111no—
440C23×C4—24no—
441C23×C4—24no—
442C23×C4—24no—
443C23×C4—112no—
444C23×C4C22×D1112yes—
445C23×C4C22×D1111yescharacteristic
446C23×C4C22×D1112yes—
447C23×C4C22×D1112yes—
448C23×C4C22×D1112yes—
449C23×C4C22×D1111yescharacteristic
450C4⋊Q8—228no—
451#125—228no—
452#124—2216no—
453#123—228no—
454C22⋊Q8—2216no—
455C22⋊Q8—228no—
456#121—228no—
457#120—228no—
458C4×Q8—2216no—
459C4×D4—2216no—
460#117—118no—
461#117—224no—
462#117—224no—
463C2×C4⋊C4—112no—
464C2×C4⋊C4—112no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—114no—
468C2×C4⋊C4—114no—
469C2×C4⋊C4—114no—
470C2×C4⋊C4—114no—
471C2×C22⋊C4—28no—
472C2×C22⋊C4—112no—
473C2×C22⋊C4—112no—
474C2×C22⋊C4—112no—
475C2×C22⋊C4—114no—
476C2×C22⋊C4—114no—
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⋊C4C22×D1112yes—
484C2×C22⋊C4C22×D1112yes—
485C2×C22⋊C4C22×D1112yes—
486C2×C22⋊C4C22×D1112yes—
487C2×C42—24no—
488C2×C42—24no—
489C2×C42—112no—
490C2×C42—114no—
491C2×C42—112no—
492C2×C42—112no—
493C2×C42—114no—
494C2×C42C22×D1111yescharacteristic
495C2×C42C22×D1111yescharacteristic
496C2×C42C22×D1112yes—
497C2×C42C22×D1112yes—
498C2×C42C22×D1111yescharacteristic
499C2×C42C22×D1111yescharacteristic
500#95—114no—
501#95—114no—
502#95—114no—
503#95—114no—
504#95—114no—
505#95—114no—
506#95—114no—
507#95—114no—
508#95C22×D1112yes—
509#95C22×D1112yes—
510#95C22×D1112yes—
511#95C22×D1112yes—
512C2×C11—24no—
513C2×C11—44no—
514C2×C11C22×#12411yescharacteristic
515C2×C11#344411yescharacteristic
516C2×C11#345511yescharacteristic
517C2×C11D4×#4112yes—
518C2×C11#347512yes—
519D11—82no—
520C24—24no—
521C24—22no—
522C24—22no—
523C24—22no—
524C24—42no—
525C24—112no—
526C24C23×D1112yes—
527C24C23×D1111yescharacteristic
528#41—4416no—
529C2×Q8—228no—
530C2×Q8—228no—
531C2×Q8—222no—
532C2×Q8—222no—
533C2×Q8—222no—
534C2×Q8—444no—
535C2×D4—228no—
536C2×D4—228no—
537C2×D4—224no—
538C2×D4—224no—
539C2×D4—224no—
540C2×D4—222no—
541C2×D4—222no—
542C2×D4—222no—
543C2×D4—444no—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—22no—
547C22×C4—24no—
548C22×C4—22no—
549C22×C4—24no—
550C22×C4—24no—
551C22×C4—24no—
552C22×C4—24no—
553C22×C4—24no—
554C22×C4—24no—
555C22×C4—24no—
556C22×C4—24no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—416no—
560C22×C4—114no—
561C22×C4—112no—
562C22×C4—112no—
563C22×C4—112no—
564C22×C4—114no—
565C22×C4—224no—
566C22×C4—224no—
567C22×C4—224no—
568C22×C4#433914yes—
569C22×C4D4×D1114yes—
570C22×C4#434114yes—
571C22×C4C23×D1112yes—
572C22×C4C23×D1112yes—
573C22×C4C23×D1112yes—
574C22×C4C23×D1112yes—
575C22×C4C23×D1112yes—
576C22×C4C23×D1111yescharacteristic
577C22×C4C23×D1111yescharacteristic
578C4⋊C4—118no—
579C4⋊C4—228no—
580C4⋊C4—228no—
581C4⋊C4—228no—
582C4⋊C4—228no—
583C4⋊C4—222no—
584C4⋊C4—222no—
585C4⋊C4—224no—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—118no—
590C22⋊C4—228no—
591C22⋊C4—228no—
592C22⋊C4—224no—
593C22⋊C4—228no—
594C22⋊C4—224no—
595C22⋊C4—228no—
596C22⋊C4—228no—
597C22⋊C4—444no—
598C22⋊C4—444no—
599C22⋊C4—444no—
600C22⋊C4#433918yescomplemented
601C42—24no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—24no—
606C42—22no—
607C42—118no—
608C42—224no—
609C42—228no—
610C42—224no—
611C42—444no—
612C11#3481311yescharacteristic, complemented, Sylow
613C23—22no—
614C23—22no—
615C23—28no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—48no—
623C23—48no—
624C23—44no—
625C23—44no—
626C23—224no—
627C23—222no—
628C23—222no—
629C23—222no—
630C23—224no—
631C23C2×#433914yes—
632C23C2×#433912yes—
633C23C2×D4×D1112yes—
634C23C2×#434112yes—
635C23C24×D1111yescharacteristic
636Q8—4416no—
637Q8—444no—
638D4—4416no—
639D4—448no—
640D4—444no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—48no—
655C2×C4—48no—
656C2×C4—44no—
657C2×C4—48no—
658C2×C4—48no—
659C2×C4—118no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—224no—
666C2×C4—222no—
667C2×C4—224no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—448no—
673C2×C4#66938116yescomplemented
674C2×C4C2×#433914yes—
675C2×C4C2×#433914yes—
676C2×C4C2×#433912yes—
677C2×C4C2×#433912yes—
678C2×C4C2×D4×D1112yes—
679C2×C4C2×D4×D1112yes—
680C2×C4C2×#434112yes—
681C2×C4C2×#434112yes—
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—442no—
695C22—442no—
696C22—444no—
697C22—442no—
698C22—444no—
699C22C2×#6693814yes—
700C22C22×#433911yescharacteristic
701C22C22×#433912yes—
702C22C22×D4×D1111yescharacteristic
703C22C22×#434111yescharacteristic
704C22#1062345312yes—
705C4—24no—
706C4—24no—
707C4—42no—
708C4—42no—
709C4—42no—
710C4—228no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4—444no—
715C4C2×#6693814yes—
716C4C2×#6693814yes—
717C2—24no—
718C2—44no—
719C2—882no—
720C2C22×#6693811yescharacteristic
721C2#1308191211yescharacteristic
722C2#1308200611yescharacteristic
723C2D4×#433912yes—
724C2#1308217412yes—
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C4×C11×C22⋊C4C2
prime radicalC2×#10623322C2
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#34813
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#10623001C2semidirect
3. #13072990C2semidirect
4. #13072979C2semidirect
5. #13072968C2semidirect
6. #13072957C2semidirect
7. #13072942C2semidirect
8. #13072736C2semidirect
9. #13071903C2semidirect
10. C4×#66938C2semidirect
11. #13071106C2semidirect
12. #13071106C2semidirect
13. #13070999C2semidirect
14. C4×#66979C2semidirect
15. C2×C4×C11×C22⋊C4C2semidirect
33. C2×#66923C22semidirect
34. C2×#66922C22semidirect
35. C2×C4×Dic22C22semidirect
56. #10622552C22semidirect
57. #10622552C22semidirect
58. #10622552C22semidirect
59. C4×(C2×D11)⋊C4C22semidirect
60. C4×(C2×D11)⋊C4C22semidirect
61. C4×(C2×D11)⋊C4C22semidirect
62. C4×C4⋊Dic11C22semidirect
63. C4×C4⋊Dic11C22semidirect
64. #10622545C22semidirect
65. C42×Dic11C22semidirect
66. #10622542C22semidirect
67. #10622542C22semidirect
68. #10622542C22semidirect
69. #10622288C22semidirect
70. #10622286C22semidirect
71. #10622283C22semidirect
72. #10622282C22semidirect
73. #10622273C22semidirect
74. #10622271C22semidirect
75. #10622263C22semidirect
76. #10622259C22semidirect
220. C11×C22⋊C4#41semidirect
265. C2×C4×C22⋊C4D11semidirect
307. C2×C4×C11#124semidirect
600. C22⋊C4#4339semidirect
612. C11#34813semidirect
673. C2×C4#66938semidirect

Maximal subgroups

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

subgroupindex
C2×#106230012
C2×#106233222
#130729902
#130729792
#130729682
#130729572
#130729422
#130727362
#130719032
C4×#669382
#130711062
#130709992
C4×#669792
C2×C4×C11×C22⋊C42
#3481311