Finite Group Databasebeta

← #14920991

Subgroups — #14920991

Order 2816.

2294 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623153C211yesmaximal, characteristic, complemented
2C2×#41×Dic11C211yesmaximal, characteristic
3#13074532C214yesmaximal, complemented
4#13074491C212yesmaximal, complemented
5#13074483C212yesmaximal, complemented
6#13074441C212yesmaximal, complemented
7#13074415C211yesmaximal, characteristic, complemented
8#13074414C211yesmaximal, characteristic, complemented
9#13074386C212yesmaximal, complemented
10#13074345C211yesmaximal, characteristic
11#13071906C212yesmaximal, complemented
12#13071904C212yesmaximal, complemented
13#13071872C214yesmaximal, complemented
14C22⋊Q8×Dic11C212yesmaximal, complemented
15#13071144C212yesmaximal, complemented
16#13071011C211yesmaximal, characteristic, complemented
17C11×#2616C211yesmaximal, characteristic
18C22×C11×#41C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×C11×C22⋊Q8C2212yes—
21#41×Dic11—28no—
22C2×Q8×Dic11C2211yescharacteristic
23C2×Q8×Dic11C2211yescharacteristic
24C2×Q8×Dic11C2211yescharacteristic
25C2×#66997C2211yescharacteristic
26C2×D4×Dic11C2212yes—
27C2×D4×Dic11C2211yescharacteristic
28C2×D4×Dic11C2211yescharacteristic
29C2×D4×Dic11C2212yes—
30C2×#66979C2212yes—
31C2×#66979C2211yescharacteristic
32C2×#66977C2212yes—
33C2×#66977C2211yescharacteristic
34C22×C4×Dic11C2212yes—
35C22×C4×Dic11C2211yescharacteristic
36#10623153—28no—
37C2×#66942C2212yes—
38C2×#66941C2211yescharacteristic
39C2×#66940C2212yes—
40C2×#66940C2211yescharacteristic
41C2×#66931C2212yes—
42C2×#66930C2212yes—
43C11×#395C2212yes—
44C11×#394C2214yes—
45C11×#394C2212yes—
46C11×#380C2212yes—
47C11×#380C2211yescharacteristic
48#10622843C2212yes—
49#10622842C2212yes—
50#10622835C2214yes—
51#10622835C2212yes—
52#10622825C2212yes—
53#10622825C2211yescharacteristic
54#10622599C2212yes—
55#10622598C2212yes—
56#10622597C2214yes—
57#10622597C2214yes—
58#10622596C2212yes—
59#10622594C2214yes—
60#10622590C2212yes—
61C4⋊C4×Dic11C2214yes—
62C4⋊C4×Dic11C2212yes—
63#10622587C2212yes—
64#10622586C2212yes—
65#10622566C2214yes—
66#10622565C2214yes—
67#10622565C2214yes—
68#10622565C2214yes—
69#10622563C2214yes—
70#10622562C2214yes—
71#10622560C2214yes—
72#10622559C2214yes—
73#10622556C2212yes—
74C22⋊C4×Dic11C2212yes—
75C22⋊C4×Dic11C2214yes—
76C22⋊C4×Dic11C2214yes—
77#10622274C2212yes—
78#10622273C2214yes—
79#10622272C2212yes—
80#10622269C2214yes—
81#10622265C2214yes—
82#10622264C2212yes—
83#10622262C2214yes—
84#10622261C2212yes—
85C2×C11×#41—24no—
86C2×C11×#41—28no—
87C22×Q8×C11C2311yescharacteristic
88C22×Q8×C11C2311yescharacteristic
89C22×D4×C11C2311yescharacteristic
90C22×D4×C11C2312yes—
91C23×C4×C11C2311yescharacteristic
92C23×C4×C11C2312yes—
93C23×Dic11C2312yes—
94C23×Dic11C2311yescharacteristic
95C23×Dic11C2312yes—
96C23×Dic11C2311yescharacteristic
97C22×Dic22C2311yescharacteristic
98C22×Dic22C2312yes—
99C11×C22⋊Q8—24no—
100C11×C22⋊Q8—28no—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2312yes—
104C2×C11×C4⋊C4C2314yes—
105C2×C11×C22⋊C4C2312yes—
106C2×C11×C22⋊C4C2314yes—
107C2×C11×C22⋊C4C2312yes—
108C2×C11×C22⋊C4C2314yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2314yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2312yes—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2312yes—
115C2×C22⋊Dic11C2314yes—
116Q8×Dic11—24no—
117Q8×Dic11—24no—
118Q8×Dic11—24no—
119#66997—24no—
120D4×Dic11—28no—
121D4×Dic11—28no—
122D4×Dic11—24no—
123D4×Dic11—24no—
124#66979—24no—
125#66979—28no—
126C2×C4⋊Dic11C2312yes—
127C2×C4⋊Dic11C2311yescharacteristic
128C2×C4⋊Dic11C2312yes—
129C2×C4⋊Dic11C2311yescharacteristic
130C2×C4⋊Dic11C2312yes—
131C2×C4⋊Dic11C2311yescharacteristic
132C2×C4⋊Dic11C2312yes—
133C2×C4⋊Dic11C2314yes—
134#66977—24no—
135#66977—28no—
136C2×Dic11⋊C4C2312yes—
137C2×Dic11⋊C4C2312yes—
138C2×Dic11⋊C4C2312yes—
139C2×Dic11⋊C4C2312yes—
140C2×Dic11⋊C4C2312yes—
141C2×Dic11⋊C4C2314yes—
142C2×Dic11⋊C4C2314yes—
143C2×C4×Dic11—28no—
144C2×C4×Dic11D418yes—
145C2×C4×Dic11C2312yes—
146C2×C4×Dic11C2312yes—
147C2×C4×Dic11C2314yes—
148C2×C4×Dic11C2312yes—
149C2×C4×Dic11C2312yes—
150C2×C4×Dic11C2312yes—
151C2×C4×Dic11C2311yescharacteristic
152C2×C4×Dic11C2311yescharacteristic
153C2×C4×Dic11C2311yescharacteristic
154C2×C4×Dic11C2311yescharacteristic
155#66942—28no—
156#66941—24no—
157#66940—24no—
158#66940—28no—
159#66931—28no—
160#66930—28no—
161C11×#95C2312yes—
162C11×#95C2314yes—
163C11⋊#95C2312yes—
164C11⋊#95C2314yes—
165C11⋊#95C2314yes—
166C11⋊#95C2314yes—
167C11⋊#95C2314yes—
168C11⋊#95C2314yes—
169C11⋊#95C2314yes—
170C11⋊#95C2314yes—
171C11⋊#95C2314yes—
172C11⋊#95C2314yes—
173C11⋊#95C2314yes—
174#34627—111nomaximal, Sylow
175C24×C11C2411yescharacteristic
176C24×C11C2412yes—
177C11×#41—232no—
178C2×Q8×C11—22no—
179C2×Q8×C11—22no—
180C2×Q8×C11—24no—
181C2×Q8×C11—24no—
182C2×D4×C11—24no—
183C2×D4×C11—24no—
184C2×D4×C11—24no—
185C2×D4×C11—22no—
186C2×D4×C11—24no—
187C22×C4×C11—24no—
188C22×C4×C11—24no—
189C22×C4×C11—24no—
190C22×C4×C11C2×D414yes—
191C22×C4×C11#4118yes—
192C22×C4×C11C2414yes—
193C22×C4×C11C2412yes—
194C22×C4×C11C2412yes—
195C22×C4×C11C2411yescharacteristic
196C22×C4×C11C2412yes—
197C22×C4×C11C2411yescharacteristic
198C22×Dic11—24no—
199C22×Dic11—24no—
200C22×Dic11—24no—
201C22×Dic11—24no—
202C22×Dic11—24no—
203C22×Dic11—41no—
204C22×Dic11—42no—
205C22×Dic11—41no—
206C22×Dic11—42no—
207C22×Dic11C2×D414yes—
208C22×Dic11C2×D414yes—
209C22×Dic11C2412yes—
210C22×Dic11C2414yes—
211C22×Dic11C2412yes—
212C22×Dic11C2412yes—
213C22×Dic11C2412yes—
214C22×Dic11C2411yescharacteristic
215C22×Dic11C2411yescharacteristic
216C22×Dic11C2411yescharacteristic
217C22×Dic11C2411yescharacteristic
218C2×Dic22—24no—
219C2×Dic22—22no—
220C2×Dic22—24no—
221C2×Dic22—42no—
222C2×Dic22—42no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—24no—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—28no—
227C11×C22⋊C4—24no—
228C11×C22⋊C4—28no—
229C11×C22⋊C4—42no—
230C11×C22⋊C4—44no—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233C22⋊Dic11—24no—
234C22⋊Dic11—24no—
235C22⋊Dic11—28no—
236C22⋊Dic11—42no—
237C22⋊Dic11—44no—
238C4⋊Dic11—24no—
239C4⋊Dic11—24no—
240C4⋊Dic11—24no—
241C4⋊Dic11—22no—
242C4⋊Dic11—22no—
243C4⋊Dic11—22no—
244C4⋊Dic11—24no—
245C4⋊Dic11—44no—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—28no—
252Dic11⋊C4—44no—
253C4×Dic11—24no—
254C4×Dic11—24no—
255C4×Dic11—24no—
256C4×Dic11—24no—
257C4×Dic11—28no—
258C4×Dic11—24no—
259C4×Dic11C2×D414yes—
260C4×Dic11C2×D414yes—
261C4×Dic11C2×D414yes—
262C4×Dic11C2×D414yes—
263C2×#533—111no—
264C2×C4×#41—111no—
265#2638—114no—
266#2634—112no—
267#2633—112no—
268#2628—112no—
269#2625—111no—
270#2625—111no—
271#2621—112no—
272#2616—111no—
273#2616D1111yescharacteristic
274#2399—112no—
275#2398—112no—
276#2395—114no—
277C4×C22⋊Q8—112no—
278C4×C22⋊Q8—112no—
279#2283—111no—
280C23×C11—22no—
281C23×C11—22no—
282C23×C11—22no—
283C23×C11—22no—
284C23×C11—22no—
285C23×C11—22no—
286C23×C11—21no—
287C23×C11—22no—
288C23×C11—21no—
289C23×C11—22no—
290C23×C11C22×D412yes—
291C23×C11C2×#4114yes—
292C23×C11C2511yescharacteristic
293Q8×C11—28no—
294Q8×C11—44no—
295D4×C11—28no—
296D4×C11—216no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—28no—
301C2×C4×C11—216no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—24no—
305C2×C4×C11—24no—
306C2×C4×C11—24no—
307C2×C4×C11—22no—
308C2×C4×C11—24no—
309C2×C4×C11—22no—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D412yes—
312C2×C4×C11C2×#4114yes—
313C2×C4×C11C2×#4114yes—
314C2×Dic11—22no—
315C2×Dic11—21no—
316C2×Dic11—21no—
317C2×Dic11—21no—
318C2×Dic11—21no—
319C2×Dic11—28no—
320C2×Dic11—22no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—24no—
325C2×Dic11—24no—
326C2×Dic11—24no—
327C2×Dic11—22no—
328C2×Dic11—22no—
329C2×Dic11—22no—
330C2×Dic11—24no—
331C2×Dic11—22no—
332C2×Dic11—22no—
333C2×Dic11—22no—
334C2×Dic11—44no—
335C2×Dic11—48no—
336C2×Dic11—48no—
337C2×Dic11C22×D412yes—
338C2×Dic11C22×D412yes—
339C2×Dic11C22×D412yes—
340C2×Dic11C22×D412yes—
341C2×Dic112−1+414yes—
342Dic22—48no—
343Dic22—44no—
344C22×#41C2×D1111yescharacteristic
345#533—228no—
346C2×C4⋊Q8—111no—
347C2×C4⋊Q8—111no—
348C2×#125—112no—
349C2×C22⋊Q8—112no—
350C2×C22⋊Q8—111no—
351C2×C22⋊Q8—112no—
352C2×C22⋊Q8C2×D1112yes—
353C2×C22⋊Q8C2×D1111yescharacteristic
354C4×#41—228no—
355C2×C4×Q8—111no—
356C2×C4×Q8—111no—
357C2×C4×Q8—111no—
358C2×C4×Q8—112no—
359C2×C4×Q8—111no—
360C2×C4×D4—111no—
361C2×C4×D4—112no—
362C2×C4×D4—112no—
363C2×C4×D4—111no—
364C2×#117—112no—
365C2×#117—111no—
366C2×#117—112no—
367C22×C42—111no—
368C22×C42—112no—
369#400—112no—
370#400—112no—
371#400—114no—
372#399—114no—
373#398—114no—
374#398—114no—
375#398—112no—
376#398—112no—
377#397—114no—
378#397—114no—
379#397—114no—
380#397—114no—
381#395—112no—
382#395—114no—
383#395C2×D1112yes—
384#394—112no—
385#394—114no—
386#394C2×D1112yes—
387#394C2×D1114yes—
388#393—114no—
389#391—112no—
390#391—112no—
391#389—112no—
392#389—112no—
393#387—114no—
394#387—114no—
395#385—114no—
396#385—114no—
397#383—112no—
398#382—112no—
399#381—112no—
400#380—111no—
401#380—112no—
402#380C2×D1111yescharacteristic
403#380C2×D1112yes—
404C4×C4⋊C4—114no—
405C4×C4⋊C4—112no—
406C4×C4⋊C4—114no—
407C4×C22⋊C4—112no—
408C4×C22⋊C4—114no—
409C4×C22⋊C4—114no—
410#376—112no—
411C22×C11—22no—
412C22×C11—24no—
413C22×C11—22no—
414C22×C11—22no—
415C22×C11—24no—
416C22×C11—24no—
417C22×C11—42no—
418C22×C11—42no—
419C22×C11—42no—
420C22×C11—42no—
421C22×C11—42no—
422C22×C11—42no—
423C22×C11C23×D411yescharacteristic
424C22×C11C22×#4112yes—
425C22×C11C2×2−1+412yes—
426C22×C11#58511yescharacteristic
427C22×C11#58511yescharacteristic
428C4×C11—22no—
429C4×C11—24no—
430C4×C11—42no—
431C4×C11—42no—
432C4×C11—44no—
433C4×C11#52514yes—
434Dic11—22no—
435Dic11—22no—
436Dic11—22no—
437Dic11—42no—
438Dic11—42no—
439Dic11—42no—
440Dic11—42no—
441Dic11—44no—
442Dic11#53614yes—
443C2×#41—24no—
444C2×#41—28no—
445C22×Q8—111no—
446C22×Q8—112no—
447C22×Q8C22×D1111yescharacteristic
448C22×Q8C22×D1111yescharacteristic
449C22×D4C22×D1111yescharacteristic
450C22×D4C22×D1112yes—
451C23×C4—111no—
452C23×C4—111no—
453C23×C4—112no—
454C23×C4—112no—
455C23×C4C22×D1111yescharacteristic
456C23×C4C22×D1112yes—
457C4⋊Q8—224no—
458C4⋊Q8—224no—
459#125—228no—
460C22⋊Q8—24no—
461C22⋊Q8—28no—
462C22⋊Q8—228no—
463C22⋊Q8—224no—
464C22⋊Q8—228no—
465C4×Q8—224no—
466C4×Q8—228no—
467C4×Q8—224no—
468C4×Q8—224no—
469C4×Q8—224no—
470C4×D4—224no—
471C4×D4—224no—
472C4×D4—228no—
473C4×D4—228no—
474#117—228no—
475#117—228no—
476#117—224no—
477C2×C4⋊C4—112no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—112no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—112no—
482C2×C4⋊C4—112no—
483C2×C4⋊C4—112no—
484C2×C4⋊C4—112no—
485C2×C4⋊C4—112no—
486C2×C4⋊C4—111no—
487C2×C4⋊C4—112no—
488C2×C4⋊C4—112no—
489C2×C4⋊C4—114no—
490C2×C4⋊C4—114no—
491C2×C4⋊C4—114no—
492C2×C4⋊C4C22×D1112yes—
493C2×C4⋊C4C22×D1111yescharacteristic
494C2×C4⋊C4C22×D1112yes—
495C2×C4⋊C4C22×D1114yes—
496C2×C22⋊C4—112no—
497C2×C22⋊C4—112no—
498C2×C22⋊C4—112no—
499C2×C22⋊C4—112no—
500C2×C22⋊C4—114no—
501C2×C22⋊C4—112no—
502C2×C22⋊C4—114no—
503C2×C22⋊C4C22×D1112yes—
504C2×C22⋊C4C22×D1114yes—
505C2×C22⋊C4C22×D1112yes—
506C2×C22⋊C4C22×D1114yes—
507C2×C42—118no—
508C2×C42—111no—
509C2×C42—111no—
510C2×C42—111no—
511C2×C42—111no—
512C2×C42—112no—
513C2×C42—112no—
514C2×C42—112no—
515C2×C42—112no—
516C2×C42—112no—
517C2×C42—114no—
518C2×C42—228no—
519#95—112no—
520#95—114no—
521#95—114no—
522#95—114no—
523#95—114no—
524#95—114no—
525#95—114no—
526#95—114no—
527#95—114no—
528#95—114no—
529#95—114no—
530#95C22×D1112yes—
531#95C22×D1114yes—
532C2×C11—42no—
533C2×C11—44no—
534C2×C11C2×#52511yescharacteristic
535C2×C11C2×#53611yescharacteristic
536C2×C11#344911yescharacteristic
537C2×C11#346112yes—
538C2×C11#346112yes—
539C24C23×D1111yescharacteristic
540C24C23×D1112yes—
541#41—232no—
542C2×Q8—22no—
543C2×Q8—22no—
544C2×Q8—24no—
545C2×Q8—24no—
546C2×Q8—224no—
547C2×Q8—222no—
548C2×Q8—224no—
549C2×Q8—442no—
550C2×Q8—442no—
551C2×D4—24no—
552C2×D4—24no—
553C2×D4—24no—
554C2×D4—22no—
555C2×D4—24no—
556C22×C4—24no—
557C22×C4—24no—
558C22×C4—24no—
559C22×C4—111no—
560C22×C4—114no—
561C22×C4—111no—
562C22×C4—111no—
563C22×C4—111no—
564C22×C4—114no—
565C22×C4—112no—
566C22×C4—114no—
567C22×C4—112no—
568C22×C4—112no—
569C22×C4—112no—
570C22×C4—224no—
571C22×C4—224no—
572C22×C4—224no—
573C22×C4—224no—
574C22×C4—224no—
575C22×C4—441no—
576C22×C4—442no—
577C22×C4—441no—
578C22×C4—442no—
579C22×C4D4×D1114yes—
580C22×C4#434118yes—
581C22×C4C23×D1114yes—
582C22×C4C23×D1112yes—
583C22×C4C23×D1112yes—
584C22×C4C23×D1111yescharacteristic
585C22×C4C23×D1112yes—
586C22×C4C23×D1111yescharacteristic
587C4⋊C4—24no—
588C4⋊C4—22no—
589C4⋊C4—24no—
590C4⋊C4—28no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—222no—
599C4⋊C4—222no—
600C4⋊C4—224no—
601C4⋊C4—222no—
602C4⋊C4—228no—
603C4⋊C4—224no—
604C4⋊C4—444no—
605C4⋊C4—444no—
606C22⋊C4—24no—
607C22⋊C4—28no—
608C22⋊C4—42no—
609C22⋊C4—44no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—224no—
613C22⋊C4—224no—
614C22⋊C4—228no—
615C22⋊C4—442no—
616C22⋊C4—444no—
617C42—114no—
618C42—114no—
619C42—114no—
620C42—114no—
621C42—224no—
622C42—224no—
623C42—224no—
624C42—224no—
625C42—228no—
626C42—224no—
627C11#3462711yescharacteristic, complemented, Sylow
628C23—22no—
629C23—22no—
630C23—22no—
631C23—21no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23C2×D4×D1112yes—
639C23C2×#434114yes—
640C23C24×D1111yescharacteristic
641Q8—28no—
642Q8—44no—
643Q8—448no—
644Q8—444no—
645D4—28no—
646D4—216no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—28no—
651C2×C4—216no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—112no—
661C2×C4—114no—
662C2×C4—112no—
663C2×C4—112no—
664C2×C4—112no—
665C2×C4—228no—
666C2×C4—221no—
667C2×C4—221no—
668C2×C4—222no—
669C2×C4—221no—
670C2×C4—221no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—222no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—222no—
678C2×C4—222no—
679C2×C4—224no—
680C2×C4—222no—
681C2×C4—222no—
682C2×C4—224no—
683C2×C4—222no—
684C2×C4—222no—
685C2×C4—448no—
686C2×C4—444no—
687C2×C4—448no—
688C2×C4C2×D4×D1112yes—
689C2×C4C2×D4×D1112yes—
690C2×C4C2×#434114yes—
691C2×C4C2×#434114yes—
692C22—22no—
693C22—22no—
694C22—24no—
695C22—24no—
696C22—22no—
697C22—24no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22C22×D4×D1111yescharacteristic
705C22C22×#434112yes—
706C22#1062345511yescharacteristic
707C22D11×2−1+412yes—
708C22#1062345711yescharacteristic
709C4—22no—
710C4—24no—
711C4—42no—
712C4—44no—
713C4—42no—
714C4—114no—
715C4—222no—
716C4—222no—
717C4—222no—
718C4—442no—
719C4—442no—
720C4—442no—
721C4—444no—
722C4—442no—
723C4#1062311714yes—
724C2—42no—
725C2—44no—
726C2C2×#1062311711yescharacteristic
727C2D11×#53611yescharacteristic
728C2#1308194411yescharacteristic
729C2#1308204012yes—
730C2#1308204412yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2616C2
prime radicalC22×C11×#41C22
hypercenter#2616D11
hypocenterC11#34627
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2616

Complements

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

NH ≅ G/Ntype
1. C2×#10623153C2semidirect
3. #13074532C2semidirect
4. #13074491C2semidirect
5. #13074483C2semidirect
6. #13074441C2semidirect
7. #13074415C2semidirect
8. #13074414C2semidirect
9. #13074386C2semidirect
11. #13071906C2semidirect
12. #13071904C2semidirect
13. #13071872C2semidirect
14. C22⋊Q8×Dic11C2semidirect
15. #13071144C2semidirect
16. #13071011C2semidirect
627. C11#34627semidirect

Maximal subgroups

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

subgroupindex
C2×#106231532
C2×#41×Dic112
#130745322
#130744912
#130744832
#130744412
#130744152
#130744142
#130743862
#130743452
#130719062
#130719042
#130718722
C22⋊Q8×Dic112
#130711442
#130710112
C11×#26162
#3462711