Finite Group Databasebeta

← #15634432

Subgroups — #15634432

Order 2816.

1682 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082421C211yesmaximal, characteristic
2#13081579C214yesmaximal, complemented
3#13081548C212yesmaximal, complemented
4#13081544C212yesmaximal, complemented
5#13081503C212yesmaximal, complemented
6#13081503C214yesmaximal, complemented
7Q8×#4326C212yesmaximal, complemented
8#13079150C212yesmaximal
9#13079126C211yesmaximal, characteristic
10#13078458C212yesmaximal
11#13078452C212yesmaximal
12#13078421C211yesmaximal, characteristic
13#13078417C211yesmaximal, characteristic
14#13077551C211yesmaximal, characteristic
15#13077482C212yesmaximal
16C2×C4×#4326C211yesmaximal, characteristic
17C11×#3502C211yesmaximal, characteristic
18Q82×C11—21no—
19Q82×C11C2212yes—
20C11×#557—21no—
21C11×#557—22no—
22C11×#557C2212yes—
23C11×#557C2214yes—
24C11×#544—22no—
25C11×#544C2212yes—
26C11×#533—22no—
27C11×#533C2211yescharacteristic
28C11×#533C2211yescharacteristic
29C11×#519C2212yes—
30C2×C4×Q8×C11C2211yescharacteristic
31C22×#4326C2211yescharacteristic
32#10623253—21no—
33#10623252—21no—
34#10623216—22no—
35#10623154—22no—
36#10623153—22no—
37#10623098C2212yes—
38#10623098C2214yes—
39Q8×Dic22C2212yes—
40#10623050C2212yes—
41#10623047C2212yes—
42#10623001C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44#10622838C2212yes—
45C2×#66899C2211yescharacteristic
46#10622707C2212yes—
47#10622707C2214yes—
48#10622704C2212yes—
49#10622704C2214yes—
50#10622693C2214yes—
51#10622692C2211yescharacteristic
52#10622692C2211yescharacteristic
53#10622691C2211yescharacteristic
54#10622691C2211yescharacteristic
55#10622691C2214yes—
56#10622678C2214yes—
57#10622677C2212yes—
58#10622677C2212yes—
59#10622677C2214yes—
60#10622676C2214yes—
61#10622676C2214yes—
62#10622676C2214yes—
63#10622643C2214yes—
64#10622643C2214yes—
65C4×#4326C2212yes—
66C4×#4326C2212yes—
67C4×#4326C2212yes—
68C4×#4326C2212yes—
69C4×#4326C2214yes—
70C4×#4326C2214yes—
71#10622637C2212yes—
72#10622637C2212yes—
73Q8×C11⋊C8C2212yes—
74Q8×C11⋊C8C2212yes—
75#10622635C2214yes—
76#10622635C2214yes—
77#10622635C2214yes—
78#10622634C2212yes—
79#10622634C2214yes—
80#10622633C2212yes—
81#10622633C2214yes—
82#10622617C2212yes—
83#10622612C2212yes—
84#10622611C2212yes—
85#10622611C2212yes—
86#10622610C2212yes—
87#10622608C2212yes—
88C2×#66874C2211yescharacteristic
89#10622577C2212yes—
90C2×#66871C2211yescharacteristic
91#10622537C2211yescharacteristic
92C2×C4×C11⋊C8C2211yescharacteristic
93C22×Q8×C11C2311yescharacteristic
94C22×Dic22C2311yescharacteristic
95C11×C4⋊Q8—22no—
96C11×C4⋊Q8—24no—
97C11×C4⋊Q8—22no—
98C11×C4⋊Q8—24no—
99C11×C4⋊Q8—22no—
100C11×C4⋊Q8D411yescharacteristic
101C11×C4⋊Q8D411yescharacteristic
102C11×C4⋊Q8C2311yescharacteristic
103C11×C4⋊Q8C2311yescharacteristic
104C11×C4⋊Q8C2314yes—
105C11×#125—24no—
106C11×#125—24no—
107C11×#125—24no—
108C11×#125—22no—
109C11×#125D412yes—
110C11×#125C2312yes—
111C11×#125C2314yes—
112C11×C22⋊Q8—21no—
113C11×C22⋊Q8—21no—
114C11×C22⋊Q8—24no—
115C11×C22⋊Q8D412yes—
116C11×C22⋊Q8D412yes—
117C4×Q8×C11—22no—
118C4×Q8×C11—22no—
119C4×Q8×C11—22no—
120C4×Q8×C11—24no—
121C4×Q8×C11—22no—
122C4×Q8×C11—21no—
123C4×Q8×C11—21no—
124C4×Q8×C11—21no—
125C4×Q8×C11—21no—
126C4×Q8×C11C2312yes—
127C4×Q8×C11C2312yes—
128C4×Q8×C11C2314yes—
129C4×Q8×C11C2314yes—
130C4×Q8×C11C2312yes—
131C4×Q8×C11C2312yes—
132C11×#117—24no—
133C11×#117C2312yes—
134C11×#117C2312yes—
135C2×C11×C4⋊C4—21no—
136C2×C11×C4⋊C4C2311yescharacteristic
137C2×C42×C11—21no—
138C2×C42×C11C2311yescharacteristic
139Q8×Dic11—22no—
140#66997—22no—
141#66997—24no—
142C2×#4326Q818yescomplemented
143C2×#4326C2312yes—
144C2×#4326C2312yes—
145#66979C2312yes—
146C2×C4⋊Dic11C2311yescharacteristic
147#66977—21no—
148#66977—21no—
149C2×Dic11⋊C4—21no—
150C2×C4×Dic11—21no—
151C2×#4318C2312yes—
152C22×C11⋊C8C2311yescharacteristic
153C22×C11⋊C8C2311yescharacteristic
154#66943—22no—
155#66942—24no—
156#66942—24no—
157#66942—24no—
158#66941—22no—
159#66941—22no—
160#66941—24no—
161#66940—22no—
162#66940—22no—
163#66940—22no—
164#66940—24no—
165#66931—24no—
166#66930—24no—
167#66923C2312yes—
168#66923C2314yes—
169#66922C2311yescharacteristic
170#66922C2311yescharacteristic
171#66922C2314yes—
172C4×Dic22—21no—
173C4×Dic22—21no—
174C4×Dic22—21no—
175C4×Dic22—21no—
176C4×Dic22C2312yes—
177C4×Dic22C2312yes—
178C4×Dic22C2314yes—
179C4×Dic22C2314yes—
180#66899C2312yes—
181#66899C2312yes—
182#66899C2314yes—
183#66899C2314yes—
184#66874C2312yes—
185#66874C2312yes—
186#66874C2314yes—
187#66874C2314yes—
188#66872C2314yes—
189#66872C2314yes—
190#66872C2312yes—
191#66872C2312yes—
192#66872C2312yes—
193#66872C2312yes—
194#66871C2312yes—
195#66871C2312yes—
196#66871C2314yes—
197#66871C2314yes—
198#66871C2312yes—
199#66871C2312yes—
200#66871C2312yes—
201#66871C2312yes—
202C4⋊(C11⋊C8)C2312yes—
203C4⋊(C11⋊C8)C2312yes—
204C4⋊(C11⋊C8)C2314yes—
205C4⋊(C11⋊C8)C2314yes—
206#66867C2314yes—
207C4×C11⋊C8C2311yescharacteristic
208C4×C11⋊C8C2311yescharacteristic
209C4×C11⋊C8C2311yescharacteristic
210C4×C11⋊C8C2311yescharacteristic
211C4×C11⋊C8C2314yes—
212#61372—111nomaximal, Sylow
213C2×Q8×C11—21no—
214C2×Q8×C11—21no—
215C2×Q8×C11—21no—
216C2×Q8×C11—24no—
217C2×Q8×C11—22no—
218C2×Q8×C11C2×D412yes—
219C2×Q8×C11C2×D412yes—
220C2×Q8×C11C2×Q814yes—
221C2×Q8×C11C2412yes—
222C22×C4×C11—21no—
223C22×C4×C11—21no—
224C22×C4×C11C2×D411yescharacteristic
225C22×C4×C11C2×D411yescharacteristic
226C22×C4×C11C2411yescharacteristic
227C22×Dic11—21no—
228C22×Dic11—21no—
229C2×Dic22—21no—
230C2×Dic22—21no—
231C2×Dic22—21no—
232C2×Dic22—24no—
233C2×Dic22—22no—
234C2×Dic22C2×Q814yes—
235C2×Dic22C2412yes—
236C11×C4⋊C4—22no—
237C11×C4⋊C4—22no—
238C11×C4⋊C4—21no—
239C11×C4⋊C4—24no—
240C11×C4⋊C4—24no—
241C11×C4⋊C4—22no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—24no—
245C11×C4⋊C4—24no—
246C11×C4⋊C4—22no—
247C11×C4⋊C4—24no—
248C11×C4⋊C4C2×D412yes—
249C11×C4⋊C4C2×D412yes—
250C11×C4⋊C4C2×D414yes—
251C11×C4⋊C4C2×D412yes—
252C11×C4⋊C4C2×D414yes—
253C11×C4⋊C4C2×D412yes—
254C11×C4⋊C4C2412yes—
255C11×C4⋊C4C2412yes—
256C11×C4⋊C4C2412yes—
257C11×C22⋊C4—22no—
258C11×C22⋊C4C2×D414yes—
259C42×C11—22no—
260C42×C11—22no—
261C42×C11—24no—
262C42×C11—24no—
263C42×C11—22no—
264C42×C11C2×D411yescharacteristic
265C42×C11C2×D411yescharacteristic
266C42×C11C2411yescharacteristic
267C42×C11C2411yescharacteristic
268C42×C11C2414yes—
269C22⋊Dic11—22no—
270#4326C2×Q818yes—
271#4326C2×Q818yes—
272C4⋊Dic11—21no—
273C4⋊Dic11—21no—
274C4⋊Dic11—21no—
275C4⋊Dic11—24no—
276C4⋊Dic11C2412yes—
277C4⋊Dic11C2412yes—
278C4⋊Dic11C2412yes—
279Dic11⋊C4—22no—
280Dic11⋊C4—22no—
281Dic11⋊C4—22no—
282Dic11⋊C4—22no—
283Dic11⋊C4—24no—
284Dic11⋊C4—24no—
285Dic11⋊C4—24no—
286Dic11⋊C4—24no—
287C4×Dic11—22no—
288C4×Dic11—22no—
289C4×Dic11—22no—
290C4×Dic11—24no—
291C4×Dic11—24no—
292#4318—24no—
293C2×C11⋊C8—22no—
294C2×C11⋊C8C2×Q814yes—
295C2×C11⋊C8C2411yescharacteristic
296C2×C11⋊C8C2411yescharacteristic
297C2×C11⋊C8C2414yes—
298C2×C11⋊C8C2411yescharacteristic
299C2×C11⋊C8C2411yescharacteristic
300#3502—111no—
301#3502D1111yescharacteristic
302#3390—114no—
303#3387—112no—
304#3387—112no—
305#3383—112no—
306#3383—114no—
307Q8×Q16—112no—
308#3164—112no—
309#3160—111no—
310#3082—112no—
311#3082—112no—
312#3078—111no—
313#3078—111no—
314#2960—111no—
315#2950—112no—
316C2×C4×Q16—111no—
317C23×C11C22×D411yescharacteristic
318Q8×C11—24no—
319Q8×C11—24no—
320Q8×C11—22no—
321Q8×C11—42no—
322Q8×C11—42no—
323Q8×C11—81no—
324Q8×C11—84no—
325Q8×C11C22×Q814yes—
326C2×C4×C11—24no—
327C2×C4×C11—22no—
328C2×C4×C11—22no—
329C2×C4×C11—22no—
330C2×C4×C11—22no—
331C2×C4×C11—22no—
332C2×C4×C11—41no—
333C2×C4×C11—81no—
334C2×C4×C11C22×D411yescharacteristic
335C2×C4×C11C22×D414yes—
336C2×C4×C11C22×D414yes—
337C2×C4×C11C22×D411yescharacteristic
338C2×C4×C11C22×D411yescharacteristic
339C2×C4×C11C22×D411yescharacteristic
340C2×C4×C11C22×D411yescharacteristic
341C2×C4×C11C22×Q812yes—
342C2×C4×C112−1+412yes—
343C2×C4×C11C2511yescharacteristic
344C2×Dic11—24no—
345C2×Dic11—22no—
346C2×Dic11—22no—
347C2×Dic11—22no—
348C2×Dic11—22no—
349C2×Dic11—81no—
350Dic22—24no—
351Dic22—22no—
352Dic22—42no—
353Dic22—81no—
354Dic22—84no—
355Dic22C22×Q814yes—
356C11⋊C8—21no—
357C11⋊C8—21no—
358C11⋊C8—24no—
359C11⋊C8C22×Q812yes—
360C11⋊C8C22×Q812yes—
361C22×Q16—111no—
362Q82—21no—
363Q82—112no—
364Q82—221no—
365Q82C2×D1112yes—
366#557—21no—
367#557—22no—
368#557—112no—
369#557—114no—
370#557—221no—
371#557—222no—
372#557C2×D1112yes—
373#557C2×D1114yes—
374#544—22no—
375#544—112no—
376#544—222no—
377#544C2×D1112yes—
378#533—22no—
379#533—111no—
380#533—222no—
381#533C2×D1111yescharacteristic
382#533C2×D1111yescharacteristic
383#519—112no—
384#519C2×D1112yes—
385C2×C4×Q8—111no—
386C2×C4×Q8C2×D1111yescharacteristic
387#501—114no—
388#501—114no—
389#500—111no—
390#500—114no—
391#500—111no—
392#499—112no—
393#499—114no—
394#499—112no—
395#498—111no—
396#498—111no—
397#479—114no—
398#479—114no—
399#479—114no—
400#479—114no—
401#479—114no—
402#479—114no—
403#477—112no—
404#477—114no—
405#477—112no—
406#477—114no—
407#475—112no—
408#475—114no—
409#475—112no—
410#475—114no—
411#446—112no—
412#446—112no—
413C8×Q8—112no—
414C8×Q8—112no—
415#441—114no—
416#441—114no—
417C4×Q16—112no—
418C4×Q16—114no—
419C4×Q16—112no—
420C4×Q16—114no—
421C4×Q16—112no—
422C4×Q16—112no—
423#428—112no—
424#428—112no—
425#427—112no—
426#427—112no—
427C2×#107—111no—
428#424—112no—
429#423—111no—
430#419—112no—
431#419—112no—
432C2×#103—111no—
433C2×#103—111no—
434#405—112no—
435C2×C4×C8—111no—
436C22×C11—21no—
437C22×C11—21no—
438C22×C11D4×Q812yes—
439C22×C11C23×D411yescharacteristic
440C4×C11—21no—
441C4×C11—21no—
442C4×C11—24no—
443C4×C11—24no—
444C4×C11—21no—
445C4×C11—24no—
446C4×C11—42no—
447C4×C11—42no—
448C4×C11—42no—
449C4×C11D4×Q812yes—
450C4×C11#57812yes—
451C4×C11C23×Q811yescharacteristic
452C4×C11C2×2−1+411yescharacteristic
453Dic11—24no—
454Dic11—42no—
455Dic11—42no—
456Dic11—42no—
457C22×Q8—111no—
458C22×Q8C22×D1111yescharacteristic
459C2×Q16—118no—
460C2×Q16—112no—
461C2×Q16—112no—
462C2×M16—112no—
463C22×C8—111no—
464C22×C8—111no—
465C4⋊Q8—22no—
466C4⋊Q8—24no—
467C4⋊Q8—22no—
468C4⋊Q8—24no—
469C4⋊Q8—22no—
470C4⋊Q8—111no—
471C4⋊Q8—111no—
472C4⋊Q8—114no—
473C4⋊Q8—222no—
474C4⋊Q8—224no—
475C4⋊Q8—222no—
476C4⋊Q8—222no—
477C4⋊Q8—224no—
478C4⋊Q8C22⋊D1111yescharacteristic
479C4⋊Q8C22⋊D1111yescharacteristic
480C4⋊Q8C22×D1111yescharacteristic
481C4⋊Q8C22×D1111yescharacteristic
482C4⋊Q8C22×D1114yes—
483#125—24no—
484#125—24no—
485#125—24no—
486#125—22no—
487#125—112no—
488#125—114no—
489#125—224no—
490#125—222no—
491#125—224no—
492#125—224no—
493#125C22⋊D1112yes—
494#125C22×D1112yes—
495#125C22×D1114yes—
496C22⋊Q8—21no—
497C22⋊Q8—21no—
498C22⋊Q8—24no—
499C22⋊Q8—221no—
500C22⋊Q8—221no—
501C22⋊Q8—224no—
502C22⋊Q8C22⋊D1112yes—
503C22⋊Q8C22⋊D1112yes—
504C4×Q8—22no—
505C4×Q8—22no—
506C4×Q8—22no—
507C4×Q8—24no—
508C4×Q8—22no—
509C4×Q8—21no—
510C4×Q8—21no—
511C4×Q8—21no—
512C4×Q8—21no—
513C4×Q8—112no—
514C4×Q8—112no—
515C4×Q8—114no—
516C4×Q8—114no—
517C4×Q8—222no—
518C4×Q8—222no—
519C4×Q8—222no—
520C4×Q8—224no—
521C4×Q8—222no—
522C4×Q8—221no—
523C4×Q8—221no—
524C4×Q8—221no—
525C4×Q8—221no—
526C4×Q8C22×D1112yes—
527C4×Q8C22×D1112yes—
528C4×Q8C22×D1114yes—
529C4×Q8C22×D1114yes—
530C4×Q8C22×D1112yes—
531C4×Q8C22×D1112yes—
532#117—24no—
533#117—112no—
534#117—224no—
535#117C22×D1112yes—
536#117C22×D1112yes—
537C2×C4⋊C4—21no—
538C2×C4⋊C4—111no—
539C2×C4⋊C4—221no—
540C2×C4⋊C4C22×D1111yescharacteristic
541C2×C42—21no—
542C2×C42—221no—
543C2×C42C22×D1111yescharacteristic
544#107—112no—
545#107—112no—
546#107—112no—
547#107—112no—
548#107—112no—
549#107—112no—
550#107—114no—
551#107—114no—
552#106—112no—
553#106—112no—
554#106—112no—
555#106—112no—
556#106—114no—
557#106—114no—
558C4⋊C8—112no—
559C4⋊C8—112no—
560C4⋊C8—114no—
561C4⋊C8—114no—
562#103—112no—
563#103—112no—
564#103—114no—
565#103—114no—
566#103—112no—
567#103—112no—
568#103—114no—
569#103—114no—
570#97—114no—
571C4×C8—111no—
572C4×C8—111no—
573C4×C8—111no—
574C4×C8—111no—
575C4×C8—114no—
576C2×C11—22no—
577C2×C11C2×D4×Q811yescharacteristic
578C2×C11C2×#57811yescharacteristic
579C2×C11#358411yescharacteristic
580C2×Q8—22no—
581C2×Q8—21no—
582C2×Q8—21no—
583C2×Q8—21no—
584C2×Q8—24no—
585C2×Q8—114no—
586C2×Q8—112no—
587C2×Q8—222no—
588C2×Q8—221no—
589C2×Q8—221no—
590C2×Q8—221no—
591C2×Q8—224no—
592C2×Q8Q8×D1114yes—
593C2×Q8C2×C22⋊D1112yes—
594C2×Q8C2×C22⋊D1112yes—
595C2×Q8C23×D1112yes—
596C22×C4—21no—
597C22×C4—21no—
598C22×C4—221no—
599C22×C4—221no—
600C22×C4C2×C22⋊D1111yescharacteristic
601C22×C4C2×C22⋊D1111yescharacteristic
602C22×C4C23×D1111yescharacteristic
603Q16—118no—
604Q16—118no—
605M16—224no—
606C2×C8—114no—
607C2×C8—111no—
608C2×C8—111no—
609C2×C8—111no—
610C2×C8—111no—
611C2×C8—114no—
612C2×C8—222no—
613C4⋊C4—22no—
614C4⋊C4—22no—
615C4⋊C4—21no—
616C4⋊C4—24no—
617C4⋊C4—24no—
618C4⋊C4—22no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—24no—
622C4⋊C4—24no—
623C4⋊C4—22no—
624C4⋊C4—24no—
625C4⋊C4—112no—
626C4⋊C4—112no—
627C4⋊C4—112no—
628C4⋊C4—221no—
629C4⋊C4—222no—
630C4⋊C4—222no—
631C4⋊C4—224no—
632C4⋊C4—224no—
633C4⋊C4—222no—
634C4⋊C4—221no—
635C4⋊C4—224no—
636C4⋊C4—222no—
637C4⋊C4—224no—
638C4⋊C4—221no—
639C4⋊C4—224no—
640C4⋊C4C2×C22⋊D1112yes—
641C4⋊C4C2×C22⋊D1112yes—
642C4⋊C4C2×C22⋊D1114yes—
643C4⋊C4C2×C22⋊D1112yes—
644C4⋊C4C2×C22⋊D1112yes—
645C4⋊C4C2×C22⋊D1114yes—
646C4⋊C4C23×D1112yes—
647C4⋊C4C23×D1112yes—
648C4⋊C4C23×D1112yes—
649C22⋊C4—22no—
650C22⋊C4—222no—
651C22⋊C4C2×C22⋊D1114yes—
652C42—22no—
653C42—22no—
654C42—24no—
655C42—24no—
656C42—22no—
657C42—222no—
658C42—222no—
659C42—222no—
660C42—224no—
661C42—224no—
662C42C2×C22⋊D1111yescharacteristic
663C42C2×C22⋊D1111yescharacteristic
664C42C23×D1111yescharacteristic
665C42C23×D1111yescharacteristic
666C42C23×D1114yes—
667C11#6137211yescharacteristic, complemented, Sylow
668C23C22×C22⋊D1111yescharacteristic
669Q8—24no—
670Q8—24no—
671Q8—22no—
672Q8—42no—
673Q8—42no—
674Q8—81no—
675Q8—84no—
676Q8—114no—
677Q8—224no—
678Q8—222no—
679Q8—442no—
680Q8—881no—
681Q8—884no—
682Q8C2×Q8×D1114yes—
683C2×C4—24no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—41no—
690C2×C4—81no—
691C2×C4—224no—
692C2×C4—222no—
693C2×C4—222no—
694C2×C4—222no—
695C2×C4—222no—
696C2×C4—881no—
697C2×C4C2×Q8×D1112yes—
698C2×C4#6704012yes—
699C2×C4C22×C22⋊D1111yescharacteristic
700C2×C4C22×C22⋊D1114yes—
701C2×C4C22×C22⋊D1114yes—
702C2×C4C22×C22⋊D1111yescharacteristic
703C2×C4C22×C22⋊D1111yescharacteristic
704C2×C4C22×C22⋊D1111yescharacteristic
705C2×C4C22×C22⋊D1111yescharacteristic
706C2×C4C24×D1111yescharacteristic
707C8—112no—
708C8—112no—
709C8—221no—
710C8—221no—
711C8—224no—
712C22—21no—
713C22—21no—
714C22Q8×C22⋊D1112yes—
715C22C23×C22⋊D1111yescharacteristic
716C4—24no—
717C4—21no—
718C4—24no—
719C4—21no—
720C4—21no—
721C4—24no—
722C4—42no—
723C4—42no—
724C4—42no—
725C4—224no—
726C4—442no—
727C4—442no—
728C4—442no—
729C4Q8×C22⋊D1112yes—
730C4#1062336912yes—
731C4C22×Q8×D1111yescharacteristic
732C4C2×#6704011yescharacteristic
733C2—22no—
734C2C2×Q8×C22⋊D1111yescharacteristic
735C2C2×#1062336911yescharacteristic
736C2#1308338711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3502C2
socleC22×C11C23×D4
prime radicalC23×C11C22×D4
hypercenter#3502D11
hypocenterC11#61372
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3502

Complements

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

NH ≅ G/Ntype
2. #13081579C2semidirect
3. #13081548C2semidirect
4. #13081544C2semidirect
5. #13081503C2semidirect
6. #13081503C2semidirect
7. Q8×#4326C2semidirect
142. C2×#4326Q8semidirect
667. C11#61372semidirect

Maximal subgroups

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

subgroupindex
#130824212
#130815792
#130815482
#130815442
#130815032
Q8×#43262
#130791502
#130791262
#130784582
#130784522
#130784212
#130784172
#130775512
#130774822
C2×C4×#43262
C11×#35022
#6137211