Finite Group Databasebeta

← #14925860

Subgroups — #14925860

Order 2816.

2402 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623048C211yesmaximal, characteristic
2C22×C4×Dic22C211yesmaximal, characteristic
3#13074003C212yesmaximal, complemented
4#13074001C212yesmaximal, complemented
5#13073995C212yesmaximal
6#13073993C212yesmaximal
7#13073823C212yesmaximal, complemented
8#13073603C212yesmaximal, complemented
9#13073092C212yesmaximal
10#13072258C212yesmaximal
11#13071910C214yesmaximal, complemented
12C4×#66941C214yesmaximal, complemented
13#13071100C211yesmaximal, characteristic
14#13071099C211yesmaximal, characteristic
15#13071098C211yesmaximal, characteristic
16#117×Dic11C211yesmaximal, characteristic
17C11×#2296C211yesmaximal, characteristic
18C23×Dic22C2211yescharacteristic
19C2×C11×#117C2211yescharacteristic
20C2×C11×#117C2211yescharacteristic
21C22×C42×C11C2211yescharacteristic
22C2×#66979C2211yescharacteristic
23C2×#66979C2211yescharacteristic
24C22×C4⋊Dic11C2211yescharacteristic
25C22×Dic11⋊C4C2211yescharacteristic
26C22×Dic11⋊C4C2211yescharacteristic
27C22×C4×Dic11C2211yescharacteristic
28C22×C4×Dic11C2211yescharacteristic
29#10623048—28no—
30C2×#66943C2211yescharacteristic
31C2×#66943C2211yescharacteristic
32C2×#66941C2211yescharacteristic
33C2×#66941C2211yescharacteristic
34C2×#66941C2214yes—
35C2×#66931C2212yes—
36C2×#66931C2212yes—
37C2×C4×Dic22—28no—
38C2×C4×Dic22C2212yes—
39C2×C4×Dic22C2212yes—
40C2×C4×Dic22C2212yes—
41C2×C4×Dic22C2212yes—
42C2×C4×Dic22C2212yes—
43C2×C4×Dic22C2212yes—
44C11×#389C2212yes—
45C11×#389C2212yes—
46C11×#385C2212yes—
47C11×#385C2212yes—
48C4×C11×C4⋊C4C2214yes—
49#10622823C2212yes—
50#10622823C2212yes—
51#10622598C2214yes—
52#10622598C2212yes—
53#10622598C2212yes—
54#10622597C2214yes—
55#10622597C2214yes—
56#10622592C2214yes—
57#10622592C2214yes—
58#10622589C2214yes—
59C4⋊C4×Dic11C2212yes—
60C4⋊C4×Dic11C2212yes—
61#10622586C2214yes—
62#10622586C2212yes—
63#10622586C2212yes—
64#10622563C2212yes—
65#10622563C2212yes—
66#10622559C2212yes—
67#10622559C2212yes—
68C22⋊C4×Dic11C2212yes—
69C22⋊C4×Dic11C2212yes—
70C4×C4⋊Dic11C2214yes—
71#10622545C2212yes—
72C4×Dic11⋊C4C2214yes—
73C4×Dic11⋊C4C2214yes—
74C42×Dic11C2212yes—
75#10622541C2212yes—
76#10622541C2212yes—
77#10622270C2214yes—
78#10622270C2214yes—
79#10622269C2214yes—
80#10622269C2214yes—
81#10622260C2214yes—
82#10622260C2214yes—
83#10622259C2214yes—
84#10622259C2214yes—
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2311yescharacteristic
87C23×C4×C11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2311yescharacteristic
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C22×Dic22—24no—
93C22×Dic22—28no—
94C22×Dic22C2312yes—
95C22×Dic22C2312yes—
96C22×Dic22C2312yes—
97C22×Dic22C2312yes—
98C11×#117—24no—
99C11×#117Q818yescomplemented
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2314yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C4⋊C4C2312yes—
105C2×C11×C22⋊C4C2312yes—
106C2×C11×C22⋊C4C2312yes—
107C2×C42×C11—24no—
108C2×C42×C11C2312yes—
109C2×C42×C11C2312yes—
110C2×C42×C11C2312yes—
111C2×C42×C11C2312yes—
112C2×C22⋊Dic11C2312yes—
113C2×C22⋊Dic11C2312yes—
114#66979—24no—
115#66979Q818yescomplemented
116C2×C4⋊Dic11—24no—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2312yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×C4⋊Dic11C2311yescharacteristic
122C2×C4⋊Dic11C2311yescharacteristic
123C2×C4⋊Dic11C2314yes—
124C2×C4⋊Dic11C2314yes—
125C2×C4⋊Dic11C2312yes—
126C2×Dic11⋊C4—24no—
127C2×Dic11⋊C4—24no—
128C2×Dic11⋊C4C2312yes—
129C2×Dic11⋊C4C2312yes—
130C2×Dic11⋊C4C2312yes—
131C2×Dic11⋊C4C2312yes—
132C2×Dic11⋊C4C2312yes—
133C2×Dic11⋊C4C2312yes—
134C2×Dic11⋊C4C2312yes—
135C2×Dic11⋊C4C2312yes—
136C2×Dic11⋊C4C2314yes—
137C2×Dic11⋊C4C2314yes—
138C2×Dic11⋊C4C2314yes—
139C2×Dic11⋊C4C2314yes—
140C2×C4×Dic11—24no—
141C2×C4×Dic11D418yes—
142C2×C4×Dic11C2312yes—
143C2×C4×Dic11C2312yes—
144C2×C4×Dic11C2312yes—
145C2×C4×Dic11C2314yes—
146C2×C4×Dic11C2314yes—
147C2×C4×Dic11C2311yescharacteristic
148C2×C4×Dic11C2311yescharacteristic
149C2×C4×Dic11C2311yescharacteristic
150C2×C4×Dic11C2311yescharacteristic
151C2×C4×Dic11C2312yes—
152#66943—24no—
153#66943—24no—
154#66941—216no—
155#66941—24no—
156#66941—24no—
157#66931—28no—
158#66931—28no—
159C4×Dic22—28no—
160C4×Dic22—28no—
161C4×Dic22—28no—
162C4×Dic22—28no—
163C4×Dic22—28no—
164C4×Dic22—28no—
165C11×#95C2314yes—
166C11×#95C2314yes—
167C11⋊#95C2314yes—
168C11⋊#95C2314yes—
169C11⋊#95C2314yes—
170C11⋊#95C2314yes—
171C11⋊#95C2314yes—
172C11⋊#95C2314yes—
173C11⋊#95C2314yes—
174C11⋊#95C2314yes—
175#34953—111nomaximal, Sylow
176C24×C11C2411yescharacteristic
177C22×C4×C11—22no—
178C22×C4×C11—24no—
179C22×C4×C11—22no—
180C22×C4×C11—42no—
181C22×C4×C11C2×D414yes—
182C22×C4×C11C2×Q814yes—
183C22×C4×C11C2×Q814yes—
184C22×C4×C11C2412yes—
185C22×C4×C11C2412yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2414yes—
188C22×C4×C11C2412yes—
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—22no—
194C22×Dic11—22no—
195C22×Dic11—42no—
196C22×Dic11—42no—
197C22×Dic11C2×D414yes—
198C22×Dic11C2×D414yes—
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2411yescharacteristic
203C22×Dic11C2411yescharacteristic
204C22×Dic11C2411yescharacteristic
205C22×Dic11C2414yes—
206C22×Dic11C2412yes—
207C22×Dic11C2411yescharacteristic
208C2×Dic22—232no—
209C2×Dic22—24no—
210C2×Dic22—24no—
211C2×Dic22—24no—
212C2×Dic22—24no—
213C2×Dic22—24no—
214C2×Dic22—24no—
215C2×Dic22—28no—
216C2×Dic22—24no—
217C2×Dic22—44no—
218C2×Dic22#4118yes—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—28no—
222C11×C4⋊C4—44no—
223C11×C4⋊C4C2×Q818yescomplemented
224C11×C22⋊C4—24no—
225C11×C22⋊C4C2×Q818yes—
226C42×C11—24no—
227C42×C11—24no—
228C42×C11—24no—
229C42×C11C2×Q818yescomplemented
230C22⋊Dic11—24no—
231C22⋊Dic11C2×Q818yes—
232C4⋊Dic11—24no—
233C4⋊Dic11—24no—
234C4⋊Dic11—24no—
235C4⋊Dic11—24no—
236C4⋊Dic11—28no—
237C4⋊Dic11—22no—
238C4⋊Dic11—22no—
239C4⋊Dic11—44no—
240C4⋊Dic11C2×Q818yescomplemented
241Dic11⋊C4—24no—
242Dic11⋊C4—24no—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—24no—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—28no—
250Dic11⋊C4—28no—
251Dic11⋊C4—44no—
252Dic11⋊C4—44no—
253C4×Dic11—28no—
254C4×Dic11—24no—
255C4×Dic11—24no—
256C4×Dic11—24no—
257C4×Dic11—44no—
258C4×Dic11C2×D414yes—
259C4×Dic11C2×D414yes—
260C4×Dic11C2×D414yes—
261C4×Dic11C2×D414yes—
262C4×Dic11C2×Q818yescomplemented
263C2×#533—111no—
264C22×C4×Q8—111no—
265#2584—112no—
266#2584—112no—
267#2583—112no—
268#2583—112no—
269#2567—112no—
270#2546—112no—
271#2502—112no—
272#2434—112no—
273#2399—114no—
274C4×C4⋊Q8—114no—
275#2296—111no—
276#2296—111no—
277#2296—111no—
278#2296D1111yescharacteristic
279C4×#117—111no—
280C23×C11—22no—
281C23×C11—22no—
282C23×C11C22×D412yes—
283C23×C11C22×Q812yes—
284C23×C11C22×Q812yes—
285C23×C11C2511yescharacteristic
286C2×C4×C11—28no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—22no—
290C2×C4×C11—24no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—24no—
295C2×C4×C11—22no—
296C2×C4×C11—24no—
297C2×C4×C11—22no—
298C2×C4×C11—44no—
299C2×C4×C11C4⋊Q8116yescomplemented
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×Q818yes—
303C2×C4×C11C22×Q812yes—
304C2×C4×C11C22×Q812yes—
305C2×C4×C11C22×Q812yes—
306C2×C4×C11C22×Q812yes—
307C2×C4×C11C2×#4114yes—
308C2×Dic11—28no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—24no—
315C2×Dic11—22no—
316C2×Dic11—28no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—24no—
321C2×Dic11—22no—
322C2×Dic11—24no—
323C2×Dic11—22no—
324C2×Dic11—44no—
325C2×Dic11—44no—
326C2×Dic11C22×D412yes—
327C2×Dic11C22×D412yes—
328C2×Dic11C22×D412yes—
329C2×Dic11C22×D412yes—
330C2×Dic11C22×Q818yes—
331C2×Dic11C2×#4114yes—
332C2×Dic11C2×#4114yes—
333Dic22—216no—
334Dic22—216no—
335Dic22—48no—
336Dic22—48no—
337C23×Q8—111no—
338#533—228no—
339C2×C4⋊Q8—114no—
340C2×C4⋊Q8—111no—
341C2×C4⋊Q8—111no—
342C2×#125—111no—
343C2×#125—111no—
344C2×C22⋊Q8—112no—
345C2×C22⋊Q8—112no—
346C2×C4×Q8—112no—
347C2×C4×Q8—112no—
348C2×C4×Q8—112no—
349C2×C4×Q8—112no—
350C2×C4×Q8—112no—
351C2×C4×Q8—112no—
352C2×C4×Q8—228no—
353C2×#117—111no—
354C2×#117—111no—
355C2×#117C2×D1111yescharacteristic
356C2×#117C2×D1111yescharacteristic
357C22×C4⋊C4—111no—
358C22×C4⋊C4—111no—
359C22×C4⋊C4—111no—
360C22×C42—111no—
361C22×C42—111no—
362C22×C42C2×D1111yescharacteristic
363#398—114no—
364#398—114no—
365#398—114no—
366#398—114no—
367#395—114no—
368#395—114no—
369#395—114no—
370#395—114no—
371#391—114no—
372#391—114no—
373#389—114no—
374#389—114no—
375#389—112no—
376#389—112no—
377#389—112no—
378#389—112no—
379#389—112no—
380#389—112no—
381#389—114no—
382#389—114no—
383#389C2×D1112yes—
384#389C2×D1112yes—
385#385—112no—
386#385—112no—
387#385—112no—
388#385—112no—
389#385—112no—
390#385—112no—
391#385C2×D1112yes—
392#385C2×D1112yes—
393#384—114no—
394C4×C4⋊C4—112no—
395C4×C4⋊C4—112no—
396C4×C4⋊C4—114no—
397C4×C4⋊C4—114no—
398C4×C4⋊C4—114no—
399C4×C4⋊C4C2×D1114yes—
400C4×C22⋊C4—112no—
401C4×C22⋊C4—112no—
402#376—112no—
403C43—112no—
404C22×C11—22no—
405C22×C11—22no—
406C22×C11—24no—
407C22×C11—24no—
408C22×C11C2×C4⋊Q814yes—
409C22×C11C23×D411yescharacteristic
410C22×C11C23×Q811yescharacteristic
411C22×C11C23×Q811yescharacteristic
412C22×C11C22×#4112yes—
413C22×C11#58512yes—
414C4×C11—24no—
415C4×C11—28no—
416C4×C11—42no—
417C4×C11—42no—
418C4×C11—42no—
419C4×C11C2×C4⋊Q814yes—
420C4×C11C2×C4⋊Q814yes—
421Dic11—22no—
422Dic11—24no—
423Dic11—22no—
424Dic11—22no—
425Dic11—28no—
426Dic11—42no—
427Dic11—42no—
428Dic11—42no—
429Dic11#52514yes—
430C22×Q8—112no—
431C22×Q8—112no—
432C22×Q8—112no—
433C22×Q8—112no—
434C22×Q8—224no—
435C22×Q8—228no—
436C23×C4—111no—
437C23×C4—111no—
438C23×C4—111no—
439C23×C4—111no—
440C23×C4C22×D1111yescharacteristic
441C23×C4C22×D1111yescharacteristic
442C23×C4C22×D1111yescharacteristic
443C4⋊Q8—224no—
444C4⋊Q8—224no—
445C4⋊Q8—2216no—
446#125—224no—
447#125—224no—
448C22⋊Q8—228no—
449C22⋊Q8—228no—
450C4×Q8—228no—
451C4×Q8—228no—
452C4×Q8—228no—
453C4×Q8—228no—
454C4×Q8—228no—
455C4×Q8—228no—
456#117—24no—
457#117—118no—
458#117—224no—
459#117Dic2218yescomplemented
460C2×C4⋊C4—112no—
461C2×C4⋊C4—112no—
462C2×C4⋊C4—112no—
463C2×C4⋊C4—112no—
464C2×C4⋊C4—112no—
465C2×C4⋊C4—112no—
466C2×C4⋊C4—112no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4—111no—
469C2×C4⋊C4—112no—
470C2×C4⋊C4—112no—
471C2×C4⋊C4—112no—
472C2×C4⋊C4—112no—
473C2×C4⋊C4—112no—
474C2×C4⋊C4—112no—
475C2×C4⋊C4—114no—
476C2×C4⋊C4—114no—
477C2×C4⋊C4—114no—
478C2×C4⋊C4—114no—
479C2×C4⋊C4—114no—
480C2×C4⋊C4—114no—
481C2×C4⋊C4—224no—
482C2×C4⋊C4—224no—
483C2×C4⋊C4—224no—
484C2×C4⋊C4C22×D1111yescharacteristic
485C2×C4⋊C4C22×D1111yescharacteristic
486C2×C4⋊C4C22×D1114yes—
487C2×C4⋊C4C22×D1114yes—
488C2×C4⋊C4C22×D1112yes—
489C2×C22⋊C4—112no—
490C2×C22⋊C4—112no—
491C2×C22⋊C4C22×D1112yes—
492C2×C22⋊C4C22×D1112yes—
493C2×C42—24no—
494C2×C42—118no—
495C2×C42—111no—
496C2×C42—111no—
497C2×C42—112no—
498C2×C42—111no—
499C2×C42—111no—
500C2×C42—112no—
501C2×C42—114no—
502C2×C42—112no—
503C2×C42—112no—
504C2×C42—114no—
505C2×C42—224no—
506C2×C42C22×D1112yes—
507C2×C42C22×D1112yes—
508C2×C42C22×D1112yes—
509C2×C42C22×D1112yes—
510#95—114no—
511#95—114no—
512#95—114no—
513#95—114no—
514#95—114no—
515#95—114no—
516#95—114no—
517#95—114no—
518#95C22×D1114yes—
519#95C22×D1114yes—
520C2×C11—24no—
521C2×C11C2×#52511yescharacteristic
522C2×C11C22×C4⋊Q811yescharacteristic
523C2×C11#344911yescharacteristic
524C2×C11Q8×#4112yes—
525C2×C11Q8×#4112yes—
526C24C23×D1111yescharacteristic
527C2×Q8—118no—
528C2×Q8—224no—
529C2×Q8—224no—
530C2×Q8—224no—
531C2×Q8—224no—
532C2×Q8—224no—
533C2×Q8—224no—
534C2×Q8—228no—
535C2×Q8—2232no—
536C2×Q8—224no—
537C2×Q8—444no—
538C22×C4—22no—
539C22×C4—24no—
540C22×C4—22no—
541C22×C4—42no—
542C22×C4—111no—
543C22×C4—114no—
544C22×C4—114no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—112no—
548C22×C4—111no—
549C22×C4—114no—
550C22×C4—112no—
551C22×C4—112no—
552C22×C4—112no—
553C22×C4—224no—
554C22×C4—224no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4C2×Dic2214yes—
560C22×C4D4×D1114yes—
561C22×C4Q8×D1114yes—
562C22×C4C23×D1112yes—
563C22×C4C23×D1112yes—
564C22×C4C23×D1112yes—
565C22×C4C23×D1114yes—
566C22×C4C23×D1112yes—
567C22×C4C23×D1111yescharacteristic
568C22×C4C23×D1111yescharacteristic
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—28no—
572C4⋊C4—44no—
573C4⋊C4—118no—
574C4⋊C4—224no—
575C4⋊C4—224no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4—224no—
579C4⋊C4—224no—
580C4⋊C4—224no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—228no—
587C4⋊C4—228no—
588C4⋊C4—222no—
589C4⋊C4—222no—
590C4⋊C4—228no—
591C4⋊C4—444no—
592C4⋊C4—444no—
593C4⋊C4—444no—
594C4⋊C4C2×Dic2218yescomplemented
595C22⋊C4—24no—
596C22⋊C4—118no—
597C22⋊C4—224no—
598C22⋊C4C2×Dic2218yes—
599C42—24no—
600C42—24no—
601C42—24no—
602C42—114no—
603C42—114no—
604C42—114no—
605C42—114no—
606C42—118no—
607C42—228no—
608C42—224no—
609C42—224no—
610C42—224no—
611C42—444no—
612C42C2×Dic2218yescomplemented
613C11#3495311yescharacteristic, complemented, Sylow
614C23—22no—
615C23—22no—
616C23C22×Dic2212yes—
617C23C2×D4×D1112yes—
618C23C2×Q8×D1112yes—
619C23C24×D1111yescharacteristic
620Q8—2216no—
621Q8—2216no—
622Q8—448no—
623Q8—448no—
624C2×C4—28no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—44no—
637C2×C4—112no—
638C2×C4—114no—
639C2×C4—112no—
640C2×C4—112no—
641C2×C4—112no—
642C2×C4—118no—
643C2×C4—114no—
644C2×C4—228no—
645C2×C4—228no—
646C2×C4—222no—
647C2×C4—224no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—224no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—224no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—224no—
660C2×C4—444no—
661C2×C4—444no—
662C2×C4#66941116yescomplemented
663C2×C4C22×Dic2218yes—
664C2×C4C22×Dic2212yes—
665C2×C4C22×Dic2212yes—
666C2×C4C2×D4×D1112yes—
667C2×C4C2×D4×D1112yes—
668C2×C4C2×Q8×D1112yes—
669C2×C4C2×Q8×D1112yes—
670C2×C4#41×D1114yes—
671C22—24no—
672C22—24no—
673C22—22no—
674C22—22no—
675C22C2×#6694114yes—
676C22C23×Dic2211yescharacteristic
677C22C22×D4×D1111yescharacteristic
678C22C22×Q8×D1111yescharacteristic
679C22C2×#41×D1112yes—
680C22#1062345312yes—
681C4—28no—
682C4—24no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—114no—
687C4—228no—
688C4—222no—
689C4—222no—
690C4—222no—
691C4—224no—
692C4—442no—
693C4—442no—
694C4—442no—
695C4C2×#6694114yes—
696C4C2×#6694114yes—
697C2—24no—
698C2D11×#52511yescharacteristic
699C2C22×#6694111yescharacteristic
700C2#1308194611yescharacteristic
701C2#1308219412yes—
702C2#41×Dic2212yes—
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2296C2
prime radicalC24×C11C24
hypercenter#2296D11
hypocenterC11#34953
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2296

Complements

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

NH ≅ G/Ntype
3. #13074003C2semidirect
4. #13074001C2semidirect
7. #13073823C2semidirect
8. #13073603C2semidirect
11. #13071910C2semidirect
12. C4×#66941C2semidirect
99. C11×#117Q8semidirect
115. #66979Q8semidirect
223. C11×C4⋊C4C2×Q8semidirect
229. C42×C11C2×Q8semidirect
240. C4⋊Dic11C2×Q8semidirect
262. C4×Dic11C2×Q8semidirect
299. C2×C4×C11C4⋊Q8semidirect
459. #117Dic22semidirect
594. C4⋊C4C2×Dic22semidirect
612. C42C2×Dic22semidirect
613. C11#34953semidirect
662. C2×C4#66941semidirect

Maximal subgroups

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

subgroupindex
C2×#106230482
C22×C4×Dic222
#130740032
#130740012
#130739952
#130739932
#130738232
#130736032
#130730922
#130722582
#130719102
C4×#669412
#130711002
#130710992
#130710982
#117×Dic112
C11×#22962
#3495311