Finite Group Databasebeta

← #15638492

Subgroups — #15638492

Order 2816.

2370 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082378C211yesmaximal, characteristic
2C2×#10623258C211yesmaximal, characteristic, complemented
3#13080484C214yesmaximal, complemented
4#13080480C214yesmaximal, complemented
5#13080315C214yesmaximal, complemented
6#13080311C214yesmaximal, complemented
7#13079541C211yesmaximal, characteristic, complemented
8#13079371C214yesmaximal, complemented
9#13078648C211yesmaximal, characteristic, complemented
10#13078643C211yesmaximal, characteristic, complemented
11D11×#448C214yesmaximal, complemented
12#13077639C211yesmaximal, characteristic, complemented
13C11×#3206C211yesmaximal, characteristic, complemented
14C2×#67042—21no—
15C22×Q8×D11C2212yescomplemented
16C11×#532C2211yescharacteristic
17C2×C11×C4⋊Q8C2211yescharacteristic, complemented
18#10623364—21no—
19C2×#66999C2212yescomplemented
20C2×SD16×D11C2218yescomplemented
21#10623258—22no—
22#10623258—22no—
23#10623258C2214yescomplemented
24#10623258C2214yescomplemented
25#10623257C2212yes—
26#10623248C2212yes—
27#10623207—22no—
28#10623136—22no—
29D11×#121C2214yes—
30#10623082C2212yes—
31#10623081—22no—
32D4×D44C2212yes—
33C2×#66949—22no—
34C2×#66946—21no—
35C2×#66941—21no—
36#10623008C2211yescharacteristic
37C2×C4×D44C2211yescharacteristic
38C2×C4×Dic22C2211yescharacteristic, complemented
39C11×#492C2212yescomplemented
40C11×#487C2212yescomplemented
41C11×#461C2214yescomplemented
42C11×#448C2214yescomplemented
43C11×#431C2211yescharacteristic, complemented
44#10622840C2214yescomplemented
45#10622784C2218yescomplemented
46#10622783C2218yescomplemented
47#10622782C2218yescomplemented
48#10622707C2212yescomplemented
49#10622698C2212yescomplemented
50#10622696C2214yescomplemented
51#10622694C2212yescomplemented
52#10622688C2212yescomplemented
53#10622653C2212yescomplemented
54#10622647C2212yescomplemented
55C4×#4324C2214yescomplemented
56#10622538C2211yescharacteristic, complemented
57#10622464C2212yescomplemented
58#10622461C2212yescomplemented
59#10622447C2214yescomplemented
60#10622420C2218yescomplemented
61#10622419C2218yescomplemented
62#10622418C2218yescomplemented
63D11×#103C2218yescomplemented
64#10622351C2212yescomplemented
65#10622348C2212yescomplemented
66D11×C22⋊C8C2214yescomplemented
67C4×#4314C2214yescomplemented
68C8×D44C2214yescomplemented
69C2×C11×#41—21no—
70C22×Q8×C11C2312yes—
71#67042—48no—
72C2×#4343—22no—
73C2×Q8×D11—24no—
74C2×Q8×D11—48no—
75C2×Q8×D11C2318yes—
76C2×D4×D11—24no—
77C2×D4×D11—22no—
78C2×D4×D11C2314yes—
79C2×#4339—21no—
80C2×#4339—22no—
81C22×D44—22no—
82C22×D44D411yescharacteristic
83C22×C4×D11—22no—
84C22×C4×D11C2312yes—
85C22×Dic22—22no—
86C22×Dic22C2311yescharacteristic
87C2×C11×SD16C2318yes—
88C11×C4⋊Q8—21no—
89C11×C4⋊Q8—21no—
90C11×C4⋊Q8C2312yes—
91C11×C4⋊Q8C2312yes—
92C11×C4⋊Q8C2311yescharacteristic
93C11×#127C2311yescharacteristic
94C11×#124—21no—
95C11×#121—21no—
96C11×#121C2312yes—
97C4×D4×C11—21no—
98C4×D4×C11C2312yes—
99C2×C11×C4⋊C4—21no—
100C2×C11×C4⋊C4—21no—
101C2×C42×C11C2311yescharacteristic
102#66999—24no—
103#66999—22no—
104#66999C2318yes—
105C2×#4325C2318yes—
106#66992—24no—
107#66991—22no—
108#66991C2314yes—
109#66990—24no—
110C2×#4324C2314yes—
111#66983—21no—
112#66983—22no—
113#66983C2312yes—
114C2×(C2×D11)⋊C4—22no—
115C2×(C2×D11)⋊C4D412yes—
116C2×C4⋊Dic11D411yescharacteristic
117C2×C4⋊Dic11C2311yescharacteristic
118#66977—22no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—22no—
121C2×C4×Dic11—21no—
122SD16×D11—416no—
123C2×#4314C2314yes—
124C2×C8×D11C2318yes—
125#66949—28no—
126#66949—28no—
127#66948C2314yes—
128#66947—24no—
129#66946—24no—
130#66946—24no—
131C4⋊C4×D11C2314yes—
132#66941—24no—
133#66941—24no—
134#66937—24no—
135#66936—24no—
136#66935—24no—
137C22⋊C4×D11—24no—
138#66928—21no—
139#66927C2311yescharacteristic
140C4×D44—21no—
141C4×D44D412yes—
142C4×D44D412yes—
143C4×D44C2312yes—
144C4×D44C2312yes—
145C4×D44C2312yes—
146#66922C2311yescharacteristic
147C4×Dic22—21no—
148C4×Dic22—21no—
149C4×Dic22C2312yes—
150C4×Dic22C2312yes—
151C11×C4⋊C8C2312yes—
152C11×#103C2318yes—
153C11×C22⋊C8C2312yes—
154C4×C8×C11C2312yes—
155#66899C2318yes—
156#66896C2314yes—
157C22⋊(C11⋊C8)C2312yes—
158#66885C2314yes—
159(C2×D11)⋊C8C2318yes—
160#66881C2314yes—
161#66880C2314yes—
162#66874C2314yes—
163#66872C2314yes—
164C4⋊(C11⋊C8)C2312yes—
165C4×C11⋊C8C2312yes—
166#61562—111nomaximal, Sylow
167C23×D11—24no—
168C23×D11C2×D412yes—
169C11×#41—44no—
170C2×Q8×C11—21no—
171C2×Q8×C11—22no—
172C2×Q8×C11—44no—
173C2×Q8×C11C2414yes—
174C2×D4×C11—22no—
175C2×D4×C11—21no—
176C2×D4×C11—21no—
177C2×D4×C11C2412yes—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C2×C22⋊D11—24no—
184C2×C22⋊D11—22no—
185C2×C22⋊D11—24no—
186C22×Dic11—21no—
187C22×Dic11—21no—
188C22×Dic11C2×D412yes—
189#4343—48no—
190Q8×D11—216no—
191Q8×D11—48no—
192Q8×D11—416no—
193D4×D11—48no—
194D4×D11—48no—
195D4×D11—416no—
196#4339—48no—
197#4339—44no—
198C2×D44—24no—
199C2×D44—21no—
200C2×D44—21no—
201C2×D44—48no—
202C2×D44SD1618yescomplemented
203C2×D44C2×D412yes—
204C2×D44C2×D412yes—
205C2×D44C2412yes—
206C2×C4×D11—24no—
207C2×C4×D11—28no—
208C2×C4×D11—22no—
209C2×C4×D11—44no—
210C2×C4×D11—48no—
211C2×C4×D11C2×D414yes—
212C2×C4×D11C2414yes—
213C2×Dic22—24no—
214C2×Dic22—28no—
215C2×Dic22—21no—
216C2×Dic22—21no—
217C2×Dic22—48no—
218C2×Dic22C2412yes—
219C11×SD16—48no—
220C2×C8×C11C2414yes—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—22no—
226C11×C4⋊C4C2412yes—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—22no—
229C42×C11C2×D411yescharacteristic
230C42×C11C2×D411yescharacteristic
231C42×C11C2411yescharacteristic
232C42×C11C2411yescharacteristic
233C22⋊Dic11—24no—
234#4325—48no—
235#4324—28no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—28no—
238(C2×D11)⋊C4—22no—
239(C2×D11)⋊C4—22no—
240(C2×D11)⋊C4C2×D414yes—
241(C2×D11)⋊C4C2×D414yes—
242C4⋊Dic11—21no—
243C4⋊Dic11—21no—
244C4⋊Dic11C2×D412yes—
245C4⋊Dic11C2×D412yes—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2412yes—
248Dic11⋊C4—24no—
249Dic11⋊C4—28no—
250Dic11⋊C4—22no—
251Dic11⋊C4—22no—
252C4×Dic11—22no—
253C4×Dic11—22no—
254C2×C11⋊C8C2414yes—
255#4314—28no—
256C8×D11—48no—
257#3496—111no—
258C2×D4×Q8—111no—
259#3298—114no—
260#3298—114no—
261D4×SD16—114no—
262D4×SD16—114no—
263#3206—111no—
264#3206D1111yescharacteristic, complemented
265#3187—114no—
266#3103—111no—
267#3103—111no—
268C2×#448—114no—
269#2972—111no—
270C23×C11—22no—
271C23×C11C22×D411yescharacteristic
272C22×D11—22no—
273C22×D11—42no—
274C22×D11—42no—
275C22×D11—48no—
276C22×D11—84no—
277C22×D11—84no—
278C22×D11C2×SD1618yescomplemented
279C22×D11C22×D414yes—
280Q8×C11—28no—
281Q8×C11—44no—
282Q8×C11—42no—
283D4×C11—24no—
284D4×C11—44no—
285D4×C11—42no—
286D4×C11—81no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—24no—
290C2×C4×C11—41no—
291C2×C4×C11—44no—
292C2×C4×C11—44no—
293C2×C4×C11C2×SD1614yescomplemented
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C2511yescharacteristic
300C22⋊D11—44no—
301C22⋊D11—48no—
302C22⋊D11—84no—
303C2×Dic11—24no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11C22×D414yes—
310D44—24no—
311D44—48no—
312D44—42no—
313D44—81no—
314D44C2×SD1618yescomplemented
315D44C2×SD1618yescomplemented
316C4×D11—28no—
317C4×D11—44no—
318C4×D11—416no—
319C4×D11—48no—
320C4×D11—44no—
321Dic22—24no—
322Dic22—22no—
323Dic22—416no—
324Dic22—42no—
325Dic22H(5,𝔽2)14yescomplemented
326C8×C11—24no—
327C11⋊C8—24no—
328C2×H(5,𝔽2)—221no—
329C23×Q8—112no—
330C22×SD16—118no—
331D4×Q8—114no—
332D4×Q8—114no—
333D4×Q8—222no—
334D4×Q8—222no—
335#547—112no—
336#547—112no—
337#546—222no—
338#546—222no—
339D42—112no—
340D42—112no—
341#537—221no—
342#534—222no—
343#532—111no—
344#532C2×D1111yescharacteristic
345C2×C4⋊Q8—221no—
346C2×C4⋊Q8C2×D1111yescharacteristic, complemented
347C2×C22⋊Q8—112no—
348C2×C22⋊Q8—222no—
349C2×#121—114no—
350C2×C4×Q8—111no—
351C2×C4×D4—111no—
352C2×C4×D4—221no—
353#492—112no—
354#492C2×D1112yescomplemented
355#487—112no—
356#487C2×D1112yescomplemented
357#483—118no—
358#481—112no—
359#481—112no—
360#475—112no—
361#475—112no—
362#465—118no—
363#465—118no—
364#461—114no—
365#461C2×D1114yescomplemented
366#460—112no—
367#460—112no—
368#450—118no—
369#448—114no—
370#448—118no—
371#448—112no—
372#448—118no—
373#448—112no—
374#448C2×D1114yescomplemented
375C4×SD16—114no—
376C4×SD16—114no—
377C8×D4—114no—
378C8×D4—114no—
379#431—111no—
380#431C2×D1111yescharacteristic, complemented
381C2×#103—118no—
382C2×C22⋊C8—114no—
383C22×C11—21no—
384C22×C11—21no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11C22×SD1612yes—
389C22×C11C23×D411yescharacteristic
390C2×D11—24no—
391C2×D11—24no—
392C2×D11—48no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—168no—
397C2×D11C22×SD1618yes—
398C4×C11—21no—
399C4×C11—21no—
400C4×C11—21no—
401C4×C11—44no—
402C4×C11—42no—
403C4×C11C22×SD1612yes—
404C4×C11C22×SD1612yes—
405C4×C11C2×H(5,𝔽2)12yes—
406Dic11—24no—
407Dic11—24no—
408Dic11—42no—
409Dic11—42no—
410H(5,𝔽2)—448no—
411C2×#41—21no—
412C2×#41—222no—
413C2×#41—222no—
414C2×#41—221no—
415C22×Q8—118no—
416C22×Q8—111no—
417C22×Q8—222no—
418C22×Q8—224no—
419C22×Q8—448no—
420C22×Q8C22×D1112yes—
421C22×D4—114no—
422C22×D4—111no—
423C22×D4—222no—
424C22×D4—222no—
425C22×D4—224no—
426C23×C4—112no—
427C23×C4—222no—
428C2×SD16—114no—
429C2×SD16—118no—
430C2×SD16—114no—
431C2×SD16—4416no—
432C2×SD16C22×D1118yes—
433C22×C8—118no—
434C4⋊Q8—21no—
435C4⋊Q8—21no—
436C4⋊Q8—111no—
437C4⋊Q8—224no—
438C4⋊Q8—224no—
439C4⋊Q8C22×D1112yes—
440C4⋊Q8C22×D1112yes—
441C4⋊Q8C22×D1111yescharacteristic
442#127—111no—
443#127C22×D1111yescharacteristic
444#124—21no—
445#124—221no—
446#123—224no—
447#123—224no—
448C22⋊Q8—118no—
449C22⋊Q8—228no—
450C22⋊Q8—228no—
451C22⋊Q8—222no—
452C22⋊Q8—222no—
453C22⋊Q8—224no—
454#121—21no—
455#121—114no—
456#121—112no—
457#121—114no—
458#121—224no—
459#121—222no—
460#121—222no—
461#121—224no—
462#121—221no—
463#121C22×D1112yes—
464#120—224no—
465#120—224no—
466C4×Q8—112no—
467C4×Q8—112no—
468C4×Q8—221no—
469C4×Q8—221no—
470C4×D4—21no—
471C4×D4—112no—
472C4×D4—112no—
473C4×D4—112no—
474C4×D4—112no—
475C4×D4—112no—
476C4×D4—224no—
477C4×D4—224no—
478C4×D4—221no—
479C4×D4C22×D1112yes—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—111no—
483C2×C4⋊C4—111no—
484C2×C4⋊C4—114no—
485C2×C4⋊C4—222no—
486C2×C4⋊C4—221no—
487C2×C22⋊C4—112no—
488C2×C22⋊C4—224no—
489C2×C22⋊C4—222no—
490C2×C42—221no—
491C2×C42C22×D1111yescharacteristic
492#106—114no—
493#106—114no—
494C4⋊C8—112no—
495C4⋊C8C22×D1112yes—
496#103—118no—
497#103—114no—
498#103—114no—
499#103C22×D1118yes—
500#102—114no—
501#102—114no—
502C22⋊C8—112no—
503C22⋊C8—118no—
504C22⋊C8C22×D1112yes—
505C4×C8—112no—
506C4×C8C22×D1112yes—
507C2×C11—22no—
508C2×C11—82no—
509C2×C11#348411yescharacteristic
510C2×C11C23×SD1611yescharacteristic
511C2×C11#358611yescharacteristic
512D11—28no—
513D11—82no—
514C24—112no—
515C24—224no—
516#41—44no—
517#41—448no—
518#41—448no—
519#41—444no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—44no—
523C2×Q8—112no—
524C2×Q8—228no—
525C2×Q8—224no—
526C2×Q8—221no—
527C2×Q8—221no—
528C2×Q8—2216no—
529C2×Q8—448no—
530C2×Q8—448no—
531C2×Q8—4416no—
532C2×Q8C23×D1114yes—
533C2×D4—22no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—118no—
537C2×D4—112no—
538C2×D4—112no—
539C2×D4—112no—
540C2×D4—224no—
541C2×D4—224no—
542C2×D4—224no—
543C2×D4—222no—
544C2×D4—221no—
545C2×D4—221no—
546C2×D4—448no—
547C2×D4—448no—
548C2×D4—448no—
549C2×D4—4416no—
550C2×D4C23×D1112yes—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—112no—
554C22×C4—114no—
555C22×C4—114no—
556C22×C4—224no—
557C22×C4—228no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—222no—
561C22×C4—444no—
562C22×C4—448no—
563C22×C4D4×D1111yescharacteristic
564C22×C4D4×D1111yescharacteristic
565C22×C4C23×D1111yescharacteristic
566SD16—48no—
567SD16—228no—
568SD16—228no—
569SD16—448no—
570C2×C8—114no—
571C2×C8—448no—
572C2×C8C23×D1114yes—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—112no—
579C4⋊C4—112no—
580C4⋊C4—112no—
581C4⋊C4—112no—
582C4⋊C4—224no—
583C4⋊C4—228no—
584C4⋊C4—221no—
585C4⋊C4—222no—
586C4⋊C4—222no—
587C4⋊C4—221no—
588C4⋊C4C23×D1112yes—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—114no—
592C22⋊C4—114no—
593C22⋊C4—224no—
594C22⋊C4—228no—
595C22⋊C4—224no—
596C22⋊C4—222no—
597C22⋊C4—222no—
598C42—222no—
599C42—222no—
600C42D4×D1111yescharacteristic
601C42D4×D1111yescharacteristic
602C42C23×D1111yescharacteristic
603C42C23×D1111yescharacteristic
604C11#6156211yescharacteristic, complemented, Sylow
605C23—22no—
606C23—114no—
607C23—118no—
608C23—222no—
609C23—442no—
610C23—442no—
611C23—448no—
612C23—884no—
613C23—884no—
614C23C2×D4×D1111yescharacteristic
615Q8—28no—
616Q8—44no—
617Q8—42no—
618Q8—114no—
619Q8—224no—
620Q8—222no—
621Q8—4416no—
622Q8—442no—
623D4—24no—
624D4—44no—
625D4—42no—
626D4—81no—
627D4—118no—
628D4—118no—
629D4—224no—
630D4—448no—
631D4—448no—
632D4—444no—
633D4—442no—
634D4—881no—
635D4—884no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—41no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—114no—
643C2×C4—224no—
644C2×C4—222no—
645C2×C4—228no—
646C2×C4—222no—
647C2×C4—222no—
648C2×C4—444no—
649C2×C4—4416no—
650C2×C4—448no—
651C2×C4—442no—
652C2×C4—442no—
653C2×C4—444no—
654C2×C4SD16×D1114yescomplemented
655C2×C4C2×D4×D1111yescharacteristic
656C2×C4C2×D4×D1111yescharacteristic
657C2×C4C2×D4×D1111yescharacteristic
658C2×C4C2×D4×D1111yescharacteristic
659C2×C4C2×D4×D1111yescharacteristic
660C2×C4C24×D1111yescharacteristic
661C8—24no—
662C8—224no—
663C22—21no—
664C22—21no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—118no—
669C22—224no—
670C22—224no—
671C22—448no—
672C22—442no—
673C22—442no—
674C22—442no—
675C22—1768no—
676C22C2×SD16×D1112yes—
677C22C22×D4×D1111yescharacteristic
678C4—21no—
679C4—21no—
680C4—21no—
681C4—44no—
682C4—42no—
683C4—224no—
684C4—224no—
685C4—442no—
686C4—442no—
687C4C2×SD16×D1112yes—
688C4C2×SD16×D1112yes—
689C4D11×H(5,𝔽2)12yes—
690C2—22no—
691C2—82no—
692C2—228no—
693C2—882no—
694C2#1308225011yescharacteristic
695C2C22×SD16×D1111yescharacteristic
696C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3206C2
socleC22×C11C23×D4
prime radical#13082378C2
hypercenter#3206D11
hypocenterC11#61562
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3206

Complements

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

NH ≅ G/Ntype
2. C2×#10623258C2semidirect
3. #13080484C2semidirect
4. #13080480C2semidirect
5. #13080315C2semidirect
6. #13080311C2semidirect
7. #13079541C2semidirect
8. #13079371C2semidirect
9. #13078648C2semidirect
10. #13078643C2semidirect
11. D11×#448C2semidirect
12. #13077639C2semidirect
13. C11×#3206C2semidirect
15. C22×Q8×D11C22semidirect
17. C2×C11×C4⋊Q8C22semidirect
19. C2×#66999C22semidirect
20. C2×SD16×D11C22semidirect
23. #10623258C22semidirect
24. #10623258C22semidirect
38. C2×C4×Dic22C22semidirect
39. C11×#492C22semidirect
40. C11×#487C22semidirect
41. C11×#461C22semidirect
42. C11×#448C22semidirect
43. C11×#431C22semidirect
44. #10622840C22semidirect
45. #10622784C22semidirect
46. #10622783C22semidirect
47. #10622782C22semidirect
48. #10622707C22semidirect
49. #10622698C22semidirect
50. #10622696C22semidirect
51. #10622694C22semidirect
52. #10622688C22semidirect
53. #10622653C22semidirect
54. #10622647C22semidirect
55. C4×#4324C22semidirect
56. #10622538C22semidirect
57. #10622464C22semidirect
58. #10622461C22semidirect
59. #10622447C22semidirect
60. #10622420C22semidirect
61. #10622419C22semidirect
62. #10622418C22semidirect
63. D11×#103C22semidirect
64. #10622351C22semidirect
65. #10622348C22semidirect
66. D11×C22⋊C8C22semidirect
67. C4×#4314C22semidirect
68. C8×D44C22semidirect
202. C2×D44SD16semidirect
264. #3206D11semidirect
278. C22×D11C2×SD16semidirect
293. C2×C4×C11C2×SD16semidirect
314. D44C2×SD16semidirect
315. D44C2×SD16semidirect
325. Dic22H(5,𝔽2)semidirect
346. C2×C4⋊Q8C2×D11semidirect
354. #492C2×D11semidirect
356. #487C2×D11semidirect
365. #461C2×D11semidirect
374. #448C2×D11semidirect
380. #431C2×D11semidirect
604. C11#61562semidirect
654. C2×C4SD16×D11semidirect

Maximal subgroups

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

subgroupindex
#130823782
C2×#106232582
#130804842
#130804802
#130803152
#130803112
#130795412
#130793712
#130786482
#130786432
D11×#4482
#130776392
C11×#32062
#6156211