Finite Group Databasebeta

← #14797584

Subgroups — #14797584

Order 2816.

1016 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×Dic11C211yesmaximal, characteristic, complemented
2#13072126C211yesmaximal, characteristic
3Q8×C22⋊Dic11C211yesmaximal, characteristic, complemented
4#13070157C211yesmaximal, characteristic, complemented
5#13070049C211yesmaximal, characteristic, complemented
6#13069929C211yesmaximal, characteristic, complemented
7#13069802C211yesmaximal, characteristic
8#13069289C211yesmaximal, characteristic, complemented
9#13069219C211yesmaximal, characteristic, complemented
10#13068973C211yesmaximal, characteristic, complemented
11#13068952C211yesmaximal, characteristic, complemented
12#13068882C211yesmaximal, characteristic, complemented
13#13068619C211yesmaximal, characteristic, complemented
14#13068551C211yesmaximal, characteristic, complemented
15C2×C11×#448C211yesmaximal, characteristic
16C23×Q8×C11C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C22×C11×SD16C2211yescharacteristic
19C2×C11×#121C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C2×Q8×Dic11C2211yescharacteristic
22C2×#66988—21no—
23C2×D4×Dic11C2211yescharacteristic
24C11×#448—24no—
25C2×C11×#103C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×C22⋊C8C2211yescharacteristic
28#10622843—21no—
29#10622843—21no—
30#10622843C2211yescharacteristic
31#10622843C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36#10622835—21no—
37#10622834C2211yescharacteristic
38C2×#66896C2211yescharacteristic
39C2×#66896C2211yescharacteristic
40#10622825—21no—
41#10622825C2211yescharacteristic
42#10622825C2211yescharacteristic
43C4×C22⋊Dic11—21no—
44C4×C22⋊Dic11C2211yescharacteristic
45C2×C22⋊(C11⋊C8)C2211yescharacteristic
46SD16×Dic11—24no—
47C2×#66881C2211yescharacteristic
48C2×Dic11⋊C8C2211yescharacteristic
49C2×C8×Dic11C2211yescharacteristic
50#10622589C2211yescharacteristic
51#10622586C2211yescharacteristic
52C2×#66872C2211yescharacteristic
53#10622565—21no—
54#10622559—21no—
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61C22×Q8×C11—22no—
62C22×Q8×C11—22no—
63C22×Q8×C11—21no—
64C22×Q8×C11—22no—
65C22×Q8×C11—22no—
66C22×Q8×C11—41no—
67C22×Q8×C11—41no—
68C22×Q8×C11C2311yescharacteristic
69C22×Q8×C11C2311yescharacteristic
70C22×D4×C11—21no—
71C22×D4×C11C2311yescharacteristic
72C23×C4×C11—21no—
73C23×C4×C11C2311yescharacteristic
74C23×Dic11—21no—
75C2×C11×SD16—22no—
76C2×C11×SD16—22no—
77C2×C11×SD16—22no—
78C2×C11×SD16—22no—
79C2×C11×SD16—41no—
80C2×C11×SD16D414yes—
81C22×C8×C11C2311yescharacteristic
82C22×C8×C11C2311yescharacteristic
83C11×#121—22no—
84C11×#121—41no—
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C22⋊C4—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11D411yescharacteristic
93C2×C22⋊Dic11D411yescharacteristic
94Q8×Dic11—22no—
95Q8×Dic11—22no—
96Q8×Dic11—41no—
97Q8×Dic11—41no—
98#66988—44no—
99D4×Dic11—22no—
100D4×Dic11—41no—
101C2×C4⋊Dic11—21no—
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×Dic11⋊C4—21no—
108C2×Dic11⋊C4—21no—
109C2×Dic11⋊C4—21no—
110C2×C4×Dic11—21no—
111C2×C4×Dic11—21no—
112C2×C4×Dic11C2311yescharacteristic
113C2×C4×Dic11C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C22×C11⋊C8C2311yescharacteristic
116C11×#103—22no—
117C11×#103—22no—
118C11×C22⋊C8—22no—
119#66899—22no—
120#66899—22no—
121#66899—22no—
122#66899—41no—
123#66896—22no—
124#66896—41no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95D411yescharacteristic
133C11⋊#95D411yescharacteristic
134C22⋊(C11⋊C8)—41no—
135#66881—22no—
136Dic11⋊C8—41no—
137C8×Dic11—22no—
138#66872—41no—
139#24898—111nomaximal, Sylow
140C24×C11—21no—
141C24×C11C2×D411yescharacteristic
142C2×Q8×C11—24no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—42no—
152C2×Q8×C11—42no—
153C2×Q8×C11—44no—
154C2×Q8×C11—44no—
155C2×Q8×C11—44no—
156C2×Q8×C11—44no—
157C2×Q8×C11C2×D412yes—
158C2×Q8×C11#4112yes—
159C2×Q8×C11#4112yes—
160C2×Q8×C11#4112yes—
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11—21no—
164C2×D4×C11—21no—
165C2×D4×C11—21no—
166C2×D4×C11—42no—
167C2×D4×C11—42no—
168C2×D4×C11—81no—
169C2×D4×C11C2×D412yes—
170C22×C4×C11—21no—
171C22×C4×C11—24no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—42no—
181C22×C4×C11—42no—
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C22×Dic11—21no—
185C22×Dic11—21no—
186C22×Dic11—21no—
187C22×Dic11—21no—
188C22×Dic11—42no—
189C22×Dic11—42no—
190C22×Dic11—81no—
191C22×Dic11C2×D411yescharacteristic
192C22×Dic11C2×D411yescharacteristic
193C22×Dic11C2×D411yescharacteristic
194C22×Dic11C2×D411yescharacteristic
195C11×SD16—28no—
196C11×SD16—44no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11C2×D412yes—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C22⋊C4—42no—
206C22⋊Dic11—41no—
207C22⋊Dic11—42no—
208C22⋊Dic11—42no—
209C22⋊Dic11—42no—
210C22⋊Dic11—42no—
211C22⋊Dic11—42no—
212C22⋊Dic11SD1614yescomplemented
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—42no—
222C4⋊Dic11—42no—
223Dic11⋊C4—42no—
224Dic11⋊C4—42no—
225Dic11⋊C4—81no—
226C4×Dic11—21no—
227C4×Dic11—21no—
228C4×Dic11—21no—
229C4×Dic11—21no—
230C4×Dic11—42no—
231C4×Dic11—42no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×#448D1111yescharacteristic
239C2×C4×SD16—111no—
240#2422—111no—
241Q8×C22⋊C4—111no—
242#2096—111no—
243#2077—111no—
244#2055—111no—
245#2034—111no—
246#1933—111no—
247#1923—111no—
248#1880—111no—
249#1877—111no—
250#1865—111no—
251#1803—111no—
252#1787—111no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—22no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11C2×SD1612yes—
267C23×C11C22×D411yescharacteristic
268Q8×C11—22no—
269Q8×C11—22no—
270Q8×C11—22no—
271Q8×C11—22no—
272Q8×C11—22no—
273Q8×C11—48no—
274Q8×C11—41no—
275Q8×C11—41no—
276Q8×C11#12314yescomplemented
277D4×C11—22no—
278D4×C11—22no—
279D4×C11—41no—
280D4×C11—41no—
281D4×C11—84no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—48no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—21no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327C2×Dic11—84no—
328C2×Dic11C2×SD1612yes—
329C2×Dic11C2×SD1612yes—
330C8×C11—22no—
331C8×C11—41no—
332C11⋊C8—41no—
333C11⋊C8—41no—
334C23×Q8C2×D1111yescharacteristic
335C22×SD16C2×D1111yescharacteristic
336C22×SD16C2×D1111yescharacteristic
337C2×#123—221no—
338C2×#121C2×D1111yescharacteristic
339C2×C4×Q8—111no—
340C2×C4×Q8—111no—
341C2×C4×D4—111no—
342#448—24no—
343C4×SD16—224no—
344C2×#106—111no—
345C2×#106—111no—
346C2×C4⋊C8—111no—
347C2×#103—111no—
348C2×#103—111no—
349C2×#103—111no—
350C2×#103—111no—
351C2×#103C2×D1111yescharacteristic
352C2×#103C2×D1111yescharacteristic
353C2×#102—111no—
354C2×#102—111no—
355C2×C22⋊C8—111no—
356C2×C22⋊C8C2×D1111yescharacteristic
357C2×C4×C8—111no—
358#397—221no—
359#394—221no—
360#391—111no—
361#391—111no—
362#391—221no—
363#391—221no—
364#390—111no—
365#389—111no—
366#385—221no—
367#384—111no—
368#380—111no—
369#380—111no—
370#380—221no—
371C4×C22⋊C4—111no—
372C4×C22⋊C4—221no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#336—111no—
378#336—111no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—22no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11#52511yescharacteristic
394C22×C11D4211yescharacteristic
395C22×C11#54611yescharacteristic
396C22×C11C22×SD1611yescharacteristic
397C22×C11#57511yescharacteristic
398C22×C11#57711yescharacteristic
399C22×C11#57811yescharacteristic
400C4×C11—24no—
401C4×C11—41no—
402C4×C11—42no—
403C4×C11—81no—
404C4×C11C2×#12311yescharacteristic
405C4×C11#53811yescharacteristic
406C4×C11#54611yescharacteristic
407C4×C11#55111yescharacteristic
408Dic11—22no—
409Dic11—22no—
410Dic11—41no—
411Dic11—41no—
412Dic11—81no—
413Dic11—81no—
414Dic11—81no—
415Dic11—81no—
416C22×Q8—22no—
417C22×Q8—22no—
418C22×Q8—21no—
419C22×Q8—22no—
420C22×Q8—22no—
421C22×Q8—41no—
422C22×Q8—41no—
423C22×Q8C22×D1111yescharacteristic
424C22×Q8C22×D1111yescharacteristic
425C22×D4—21no—
426C22×D4C22×D1111yescharacteristic
427C23×C4—21no—
428C23×C4—221no—
429C23×C4C22×D1111yescharacteristic
430C2×SD16—22no—
431C2×SD16—22no—
432C2×SD16—22no—
433C2×SD16—22no—
434C2×SD16—41no—
435C2×SD16C22⋊D1114yes—
436C22×C8—111no—
437C22×C8—111no—
438C22×C8C22×D1111yescharacteristic
439C22×C8C22×D1111yescharacteristic
440#123—444no—
441#121—22no—
442#121—41no—
443C4×Q8—222no—
444C4×Q8—222no—
445C4×Q8—441no—
446C4×Q8—441no—
447C4×D4—222no—
448C4×D4—441no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—111no—
461C2×C22⋊C4—111no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C42—111no—
468C2×C42—111no—
469C2×C42—221no—
470C2×C42—221no—
471#106—222no—
472#106—441no—
473C4⋊C8—441no—
474#103—22no—
475#103—22no—
476#103—222no—
477#103—222no—
478#103—222no—
479#103—441no—
480#102—222no—
481#102—441no—
482C22⋊C8—22no—
483C22⋊C8—441no—
484C4×C8—222no—
485#95—111no—
486#95—111no—
487#95—221no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494C2×C11—42no—
495C2×C11—82no—
496C2×C11#241811yescharacteristic
497C2×C11#310311yescharacteristic
498C2×C11#312111yescharacteristic
499C2×C11#326911yescharacteristic
500C2×C11D4×SD1611yescharacteristic
501C2×C11#329811yescharacteristic
502C2×C11#332611yescharacteristic
503C24—21no—
504C24D4×D1111yescharacteristic
505C2×Q8—24no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—42no—
515C2×Q8—42no—
516C2×Q8—44no—
517C2×Q8—44no—
518C2×Q8—44no—
519C2×Q8—44no—
520C2×Q8#434112yes—
521C2×Q8#434112yes—
522C2×Q8#434112yes—
523C2×Q8C2×C22⋊D1112yes—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—81no—
532C2×D4C2×C22⋊D1112yes—
533C22×C4—21no—
534C22×C4—24no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—111no—
548C22×C4—111no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—221no—
553C22×C4—442no—
554C22×C4—442no—
555C22×C4—881no—
556C22×C4D4×D1111yescharacteristic
557C22×C4C23×D1111yescharacteristic
558SD16—28no—
559SD16—44no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8C2×C22⋊D1112yes—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—442no—
583C4⋊C4—442no—
584C4⋊C4—442no—
585C4⋊C4—442no—
586C4⋊C4—881no—
587C22⋊C4—42no—
588C22⋊C4—114no—
589C22⋊C4—442no—
590C22⋊C4—441no—
591C22⋊C4—442no—
592C22⋊C4—442no—
593C22⋊C4—442no—
594C22⋊C4—442no—
595C42—221no—
596C42—221no—
597C42—221no—
598C42—221no—
599C42—442no—
600C42—442no—
601C11#2489811yescharacteristic, complemented, Sylow
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23SD16×D1112yes—
616C23C2×D4×D1111yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—22no—
620Q8—22no—
621Q8—22no—
622Q8—48no—
623Q8—41no—
624Q8—41no—
625Q8#6698814yescomplemented
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—84no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—112no—
649C2×C4—112no—
650C2×C4—221no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—884no—
673C2×C4C2×#434111yescharacteristic
674C2×C4C2×#434111yescharacteristic
675C2×C4C2×#434111yescharacteristic
676C2×C4#6703711yescharacteristic
677C2×C4#6703711yescharacteristic
678C2×C4C22×C22⋊D1111yescharacteristic
679C8—22no—
680C8—41no—
681C8—441no—
682C8—441no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22#1062311711yescharacteristic
698C22#1062312211yescharacteristic
699C22C2×SD16×D1111yescharacteristic
700C22#1062329311yescharacteristic
701C22#1062330811yescharacteristic
702C22#1062331011yescharacteristic
703C22D4×C22⋊D1111yescharacteristic
704C4—24no—
705C4—41no—
706C4—42no—
707C4—81no—
708C4—222no—
709C4—222no—
710C4—441no—
711C4—441no—
712C4—881no—
713C4—881no—
714C4—881no—
715C4—881no—
716C4#1062311811yescharacteristic
717C4#1062312411yescharacteristic
718C4C2×#6698811yescharacteristic
719C4#1062333711yescharacteristic
720C2—42no—
721C2—82no—
722C2#1307207411yescharacteristic
723C2#1307864211yescharacteristic
724C2#1307883811yescharacteristic
725C2#1308016511yescharacteristic
726C2SD16×C22⋊D1111yescharacteristic
727C2#1308047411yescharacteristic
728C2#1308087311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#448C2
socleC23×C11C22×D4
prime radicalC2×C11×#121C22
hypercenterC2×#448D11
hypocenterC11#24898
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

Complements

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

NH ≅ G/Ntype
1. C2×SD16×Dic11C2semidirect
3. Q8×C22⋊Dic11C2semidirect
4. #13070157C2semidirect
5. #13070049C2semidirect
6. #13069929C2semidirect
8. #13069289C2semidirect
9. #13069219C2semidirect
10. #13068973C2semidirect
11. #13068952C2semidirect
12. #13068882C2semidirect
13. #13068619C2semidirect
14. #13068551C2semidirect
212. C22⋊Dic11SD16semidirect
276. Q8×C11#123semidirect
601. C11#24898semidirect
625. Q8#66988semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×Dic112
#130721262
Q8×C22⋊Dic112
#130701572
#130700492
#130699292
#130698022
#130692892
#130692192
#130689732
#130689522
#130688822
#130686192
#130685512
C2×C11×#4482
#2489811