Finite Group Databasebeta

← #15638491

Subgroups — #15638491

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×Q8×D44C211yesmaximal, characteristic, complemented
3#13080483C214yesmaximal, complemented
4#13080478C214yesmaximal, complemented
5SD16×D44C214yesmaximal, complemented
6#13080307C214yesmaximal, complemented
7#13079543C211yesmaximal, characteristic, complemented
8#13079538C211yesmaximal, characteristic, complemented
9#13079375C214yesmaximal, complemented
10#13078647C211yesmaximal, characteristic, complemented
11D11×#448C214yesmaximal, complemented
12#13077639C211yesmaximal, characteristic, complemented
13C11×#3103C211yesmaximal, characteristic, complemented
14C2×#67042—21no—
15C22×Q8×D11C2212yescomplemented
16C11×#532C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic, complemented
18#10623364—21no—
19C2×SD16×D11C2218yescomplemented
20#10623257C2212yes—
21#10623248C2212yes—
22#10623207—22no—
23#10623136—22no—
24D11×#121C2214yes—
25Q8×D44—22no—
26Q8×D44—22no—
27Q8×D44C2214yescomplemented
28Q8×D44C2214yescomplemented
29#10623082C2212yes—
30#10623081—22no—
31D4×D44C2212yes—
32C2×#66950—22no—
33C2×#66950C2212yescomplemented
34#10623008C2211yescharacteristic
35C2×C4×D44—21no—
36C2×C4×D44C2211yescharacteristic
37C2×#66922—21no—
38C2×#66922C2211yescharacteristic, complemented
39C11×#481C2212yescomplemented
40C11×#475C2212yescomplemented
41C11×#460C2212yescomplemented
42C11×#448C2212yescomplemented
43C4×C11×SD16C2214yescomplemented
44C11×#431C2211yescharacteristic, complemented
45#10622840C2212yescomplemented
46#10622783C2218yescomplemented
47#10622706C2212yescomplemented
48#10622689C2212yescomplemented
49#10622653C2214yescomplemented
50#10622640C2212yescomplemented
51C4×#4325C2214yescomplemented
52#10622633C2212yescomplemented
53#10622632C2214yescomplemented
54#10622581C2212yescomplemented
55#10622538C2211yescharacteristic, complemented
56#10622477C2218yescomplemented
57#10622475C2218yescomplemented
58#10622454C2214yescomplemented
59#10622447C2214yescomplemented
60#10622419C2218yescomplemented
61D11×#103C2218yescomplemented
62#10622391C2218yescomplemented
63#10622389C2218yescomplemented
64#10622351C2214yescomplemented
65D11×C22⋊C8C2214yescomplemented
66#10622306C2212yescomplemented
67C8×D44C2214yescomplemented
68#10622294C2212yescomplemented
69C2×C11×#41—21no—
70C22×Q8×C11C2311yescharacteristic
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×Dic22C2312yes—
87C2×C11×SD16C2314yes—
88C11×C4⋊Q8C2311yescharacteristic
89C11×#127C2311yescharacteristic
90C11×#124—21no—
91C11×#121—21no—
92C11×#121C2312yes—
93C4×Q8×C11—21no—
94C4×Q8×C11—21no—
95C4×Q8×C11C2312yes—
96C4×Q8×C11C2312yes—
97C4×D4×C11—21no—
98C4×D4×C11C2312yes—
99C2×C11×C4⋊C4—21no—
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C42×C11—21no—
102C2×C42×C11C2311yescharacteristic
103#66999—22no—
104C2×#4325C2314yes—
105#66992—24no—
106#66991—22no—
107#66991C2314yes—
108#66990—24no—
109C2×#4324C2318yes—
110#66983—21no—
111#66983—22no—
112#66983C2312yes—
113C2×(C2×D11)⋊C4—22no—
114C2×(C2×D11)⋊C4D412yes—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11—21no—
117C2×C4⋊Dic11—22no—
118C2×C4⋊Dic11D411yescharacteristic
119#66977—22no—
120SD16×D11—416no—
121C2×#4314C2318yes—
122C2×C8×D11C2318yes—
123#66950—24no—
124#66950—28no—
125#66950—28no—
126#66950C2318yes—
127#66948C2314yes—
128#66947—24no—
129C4⋊C4×D11C2314yes—
130#66937—24no—
131#66936—24no—
132#66935—24no—
133C22⋊C4×D11—24no—
134#66928—21no—
135#66927C2311yescharacteristic
136C4×D44—24no—
137C4×D44—24no—
138C4×D44—21no—
139C4×D44D412yes—
140C4×D44D412yes—
141C4×D44C2312yes—
142C4×D44C2312yes—
143C4×D44C2312yes—
144#66922—21no—
145#66922—21no—
146#66922—24no—
147#66922—24no—
148#66922C2312yes—
149#66922C2312yes—
150#66922C2311yescharacteristic
151C11×#106C2314yes—
152C11×C4⋊C8C2312yes—
153C11×#103C2314yes—
154C11×#102C2314yes—
155C11×C22⋊C8C2312yes—
156C4×C8×C11C2312yes—
157#66899C2314yes—
158C22⋊(C11⋊C8)C2312yes—
159(C2×D11)⋊C8C2318yes—
160#66880C2318yes—
161#66874C2318yes—
162#66873C2314yes—
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—24no—
171C2×Q8×C11—21no—
172C2×Q8×C11—21no—
173C2×Q8×C11C2412yes—
174C2×D4×C11—22no—
175C2×D4×C11—21no—
176C2×D4×C11—21no—
177C2×D4×C11C2412yes—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—22no—
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C2×C22⋊D11—24no—
185C2×C22⋊D11—22no—
186C2×C22⋊D11—24no—
187C22×Dic11—22no—
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—28no—
207C2×C4×D11—24no—
208C2×C4×D11—22no—
209C2×C4×D11—44no—
210C2×C4×D11—48no—
211C2×C4×D11C2×D414yes—
212C2×C4×D11C2414yes—
213C2×Dic22—28no—
214C2×Dic22—22no—
215C2×Dic22—21no—
216C2×Dic22—44no—
217C2×Dic22—48no—
218C2×Dic22C2414yes—
219C11×SD16—28no—
220C2×C8×C11C2414yes—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4C2412yes—
226C11×C4⋊C4C2412yes—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—22no—
229C42×C11—22no—
230C42×C11—22no—
231C42×C11C2×D411yescharacteristic
232C42×C11C2×D411yescharacteristic
233C42×C11C2411yescharacteristic
234C42×C11C2411yescharacteristic
235C22⋊Dic11—24no—
236#4325—28no—
237#4324—48no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—28no—
240(C2×D11)⋊C4—22no—
241(C2×D11)⋊C4—22no—
242(C2×D11)⋊C4C2×D414yes—
243(C2×D11)⋊C4C2×D414yes—
244C4⋊Dic11—28no—
245C4⋊Dic11—22no—
246C4⋊Dic11—22no—
247C4⋊Dic11—22no—
248C4⋊Dic11—22no—
249C4⋊Dic11—21no—
250C4⋊Dic11C2×D412yes—
251C4⋊Dic11C2×D412yes—
252C4⋊Dic11C2412yes—
253Dic11⋊C4—24no—
254C2×C11⋊C8C2414yes—
255#4314—48no—
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#3206—111no—
265#3187—114no—
266#3103—111no—
267#3103D1111yescharacteristic, complemented
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—24no—
281Q8×C11—22no—
282Q8×C11—42no—
283Q8×C11H(5,𝔽2)14yescomplemented
284D4×C11—24no—
285D4×C11—44no—
286D4×C11—42no—
287D4×C11—81no—
288C2×C4×C11—24no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—41no—
294C2×C4×C11—42no—
295C2×C4×C11—44no—
296C2×C4×C11C2×SD1614yescomplemented
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C2511yescharacteristic
303C22⋊D11—44no—
304C22⋊D11—48no—
305C22⋊D11—84no—
306C2×Dic11—22no—
307C2×Dic11—24no—
308C2×Dic11—42no—
309C2×Dic11—44no—
310C2×Dic11C22×D414yes—
311D44—24no—
312D44—48no—
313D44—42no—
314D44—81no—
315D44C2×SD1618yescomplemented
316D44C2×SD1618yescomplemented
317C4×D11—28no—
318C4×D11—44no—
319C4×D11—416no—
320C4×D11—48no—
321C4×D11—44no—
322Dic22—28no—
323Dic22—416no—
324Dic22—44no—
325Dic22—42no—
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—111no—
346C2×C4⋊Q8—221no—
347C2×C22⋊Q8—112no—
348C2×C22⋊Q8—222no—
349C2×#121—114no—
350C2×C4×Q8C2×D1111yescharacteristic, complemented
351C2×C4×D4—111no—
352C2×C4×D4—221no—
353#492—112no—
354#492—112no—
355#487—112no—
356#487—112no—
357#483—118no—
358#481—112no—
359#481C2×D1112yescomplemented
360#475—112no—
361#475C2×D1112yescomplemented
362#465—118no—
363#465—118no—
364#461—114no—
365#461—114no—
366#460—112no—
367#460C2×D1112yescomplemented
368#450—118no—
369#448—112no—
370#448—118no—
371#448—114no—
372#448—118no—
373#448—114no—
374#448C2×D1112yescomplemented
375C4×SD16—114no—
376C4×SD16C2×D1114yescomplemented
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—24no—
401C4×C11—21no—
402C4×C11—42no—
403C4×C11—42no—
404C4×C11C22×SD1612yes—
405C4×C11C22×SD1612yes—
406C4×C11C2×H(5,𝔽2)12yes—
407Dic11—24no—
408Dic11—44no—
409Dic11—42no—
410H(5,𝔽2)—448no—
411C2×#41—21no—
412C2×#41—222no—
413C2×#41—222no—
414C2×#41—221no—
415C22×Q8—118no—
416C22×Q8—112no—
417C22×Q8—222no—
418C22×Q8—224no—
419C22×Q8—448no—
420C22×Q8C22×D1111yescharacteristic
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—118no—
431C2×SD16—4416no—
432C2×SD16C22×D1114yes—
433C22×C8—118no—
434C4⋊Q8—111no—
435C4⋊Q8—112no—
436C4⋊Q8—112no—
437C4⋊Q8—224no—
438C4⋊Q8—224no—
439C4⋊Q8—221no—
440C4⋊Q8—221no—
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—224no—
452C22⋊Q8—222no—
453C22⋊Q8—222no—
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—21no—
467C4×Q8—21no—
468C4×Q8C22×D1112yes—
469C4×Q8C22×D1112yes—
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—111no—
482C2×C4⋊C4—114no—
483C2×C4⋊C4—222no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4C22×D1111yescharacteristic
487C2×C22⋊C4—112no—
488C2×C22⋊C4—224no—
489C2×C22⋊C4—222no—
490C2×C42—21no—
491C2×C42C22×D1111yescharacteristic
492#106—114no—
493#106C22×D1114yes—
494C4⋊C8—112no—
495C4⋊C8C22×D1112yes—
496#103—114no—
497#103—118no—
498#103—118no—
499#103C22×D1114yes—
500#102—114no—
501#102C22×D1114yes—
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—24no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—114no—
524C2×Q8—228no—
525C2×Q8—221no—
526C2×Q8—222no—
527C2×Q8—2216no—
528C2×Q8—444no—
529C2×Q8—448no—
530C2×Q8—448no—
531C2×Q8—4416no—
532C2×Q8C23×D1112yes—
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—21no—
552C22×C4—21no—
553C22×C4—22no—
554C22×C4—112no—
555C22×C4—114no—
556C22×C4—114no—
557C22×C4—224no—
558C22×C4—228no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—444no—
562C22×C4—448no—
563C22×C4D4×D1111yescharacteristic
564C22×C4D4×D1111yescharacteristic
565C22×C4C23×D1111yescharacteristic
566SD16—28no—
567SD16—228no—
568SD16—448no—
569SD16—448no—
570C2×C8—114no—
571C2×C8—448no—
572C2×C8C23×D1114yes—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—112no—
578C4⋊C4—112no—
579C4⋊C4—112no—
580C4⋊C4—224no—
581C4⋊C4—228no—
582C4⋊C4—222no—
583C4⋊C4—222no—
584C4⋊C4—222no—
585C4⋊C4—222no—
586C4⋊C4—221no—
587C4⋊C4C23×D1112yes—
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—22no—
599C42—22no—
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—24no—
616Q8—22no—
617Q8—42no—
618Q8—228no—
619Q8—4416no—
620Q8—444no—
621Q8—442no—
622Q8#6704214yescomplemented
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—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—42no—
643C2×C4—44no—
644C2×C4—114no—
645C2×C4—228no—
646C2×C4—222no—
647C2×C4—224no—
648C2×C4—444no—
649C2×C4—4416no—
650C2×C4—448no—
651C2×C4—442no—
652C2×C4—444no—
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—24no—
681C4—21no—
682C4—42no—
683C4—42no—
684C4—224no—
685C4—444no—
686C4—442no—
687C4C2×SD16×D1112yes—
688C4C2×SD16×D1112yes—
689C4C2×#6704212yes—
690C2—22no—
691C2—82no—
692C2—228no—
693C2—882no—
694C2#1308224911yescharacteristic
695C2C22×SD16×D1111yescharacteristic
696C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3103C2
socleC22×C11C23×D4
prime radical#13082378C2
hypercenter#3103D11
hypocenterC11#61562
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3103

Complements

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

NH ≅ G/Ntype
2. C2×Q8×D44C2semidirect
3. #13080483C2semidirect
4. #13080478C2semidirect
5. SD16×D44C2semidirect
6. #13080307C2semidirect
7. #13079543C2semidirect
8. #13079538C2semidirect
9. #13079375C2semidirect
10. #13078647C2semidirect
11. D11×#448C2semidirect
12. #13077639C2semidirect
13. C11×#3103C2semidirect
15. C22×Q8×D11C22semidirect
17. C2×C4×Q8×C11C22semidirect
19. C2×SD16×D11C22semidirect
27. Q8×D44C22semidirect
28. Q8×D44C22semidirect
33. C2×#66950C22semidirect
38. C2×#66922C22semidirect
39. C11×#481C22semidirect
40. C11×#475C22semidirect
41. C11×#460C22semidirect
42. C11×#448C22semidirect
43. C4×C11×SD16C22semidirect
44. C11×#431C22semidirect
45. #10622840C22semidirect
46. #10622783C22semidirect
47. #10622706C22semidirect
48. #10622689C22semidirect
49. #10622653C22semidirect
50. #10622640C22semidirect
51. C4×#4325C22semidirect
52. #10622633C22semidirect
53. #10622632C22semidirect
54. #10622581C22semidirect
55. #10622538C22semidirect
56. #10622477C22semidirect
57. #10622475C22semidirect
58. #10622454C22semidirect
59. #10622447C22semidirect
60. #10622419C22semidirect
61. D11×#103C22semidirect
62. #10622391C22semidirect
63. #10622389C22semidirect
64. #10622351C22semidirect
65. D11×C22⋊C8C22semidirect
66. #10622306C22semidirect
67. C8×D44C22semidirect
68. #10622294C22semidirect
202. C2×D44SD16semidirect
267. #3103D11semidirect
278. C22×D11C2×SD16semidirect
283. Q8×C11H(5,𝔽2)semidirect
296. C2×C4×C11C2×SD16semidirect
315. D44C2×SD16semidirect
316. D44C2×SD16semidirect
350. C2×C4×Q8C2×D11semidirect
359. #481C2×D11semidirect
361. #475C2×D11semidirect
367. #460C2×D11semidirect
374. #448C2×D11semidirect
376. C4×SD16C2×D11semidirect
380. #431C2×D11semidirect
604. C11#61562semidirect
622. Q8#67042semidirect
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×Q8×D442
#130804832
#130804782
SD16×D442
#130803072
#130795432
#130795382
#130793752
#130786472
D11×#4482
#130776392
C11×#31032
#6156211