Finite Group Databasebeta

← #14914241

Subgroups — #14914241

Order 2816.

2422 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66997C211yesmaximal, characteristic
2#13071704C214yesmaximal, complemented
3#13071673C212yesmaximal, complemented
4#13071670C212yesmaximal, complemented
5#13071494C212yesmaximal
6#13071488C212yesmaximal
7Q8×C22⋊Dic11C211yesmaximal, characteristic
8C22⋊C4×Dic22C211yesmaximal, characteristic
9#13071448C211yesmaximal, characteristic
10#13071359C214yesmaximal, complemented
11#13071233C212yesmaximal
12#13071185C212yesmaximal, complemented
13C4×#66997C212yesmaximal, complemented
14#13071018C211yesmaximal, characteristic
15#13070971C212yesmaximal
16C4×#66930C211yesmaximal, characteristic
17Q8×C11×C22⋊C4C211yesmaximal, characteristic
18C23×Q8×C11C2211yescharacteristic
19C23×Dic22C2211yescharacteristic
20C2×C4×Q8×C11C2212yes—
21C2×Q8×Dic11C2212yes—
22C2×#66997C4116yescomplemented
23C2×#66997C2211yescharacteristic
24C2×#66997C2211yescharacteristic
25C2×#66997C2211yescharacteristic
26C2×#66997C2211yescharacteristic
27C2×#66997C2212yes—
28C2×#66997C2212yes—
29C22×Dic11⋊C4C2212yes—
30C22×Dic11⋊C4C2212yes—
31C22×C4×Dic11C2211yescharacteristic
32C2×#66940C2212yes—
33C2×#66930C2211yescharacteristic
34C2×#66930C2212yes—
35C2×#66930C2211yescharacteristic
36C2×C4×Dic22C2212yes—
37C11×#391C2212yes—
38C11×#391C2214yes—
39C11×#380C2211yescharacteristic
40C11×#380C2212yes—
41C4×C11×C22⋊C4C2211yescharacteristic
42C4×C11×C22⋊C4C2212yes—
43#10622843C2212yes—
44#10622843C2214yes—
45#10622825C2211yescharacteristic
46#10622825C2212yes—
47C4×C22⋊Dic11C2211yescharacteristic
48C4×C22⋊Dic11C2212yes—
49#10622591C2214yes—
50#10622589C2212yes—
51C4⋊C4×Dic11C2212yes—
52#10622587C2212yes—
53#10622585C2214yes—
54#10622585C2214yes—
55#10622585C2214yes—
56#10622555C2212yes—
57#10622555C2212yes—
58#10622555C2212yes—
59C22⋊C4×Dic11C2212yes—
60C22⋊C4×Dic11C2212yes—
61C22⋊C4×Dic11C2211yescharacteristic
62C22⋊C4×Dic11C2211yescharacteristic
63#10622546C2214yes—
64C4×Dic11⋊C4C2212yes—
65C4×Dic11⋊C4C2214yes—
66C4×Dic11⋊C4C2214yes—
67C4×Dic11⋊C4C2214yes—
68C42×Dic11C2212yes—
69#10622542C2212yes—
70#10622268C2214yes—
71#10622265C2214yes—
72#10622263C2212yes—
73#10622262C2214yes—
74#10622262C2214yes—
75#10622262C2214yes—
76#10622262C2212yes—
77#10622262C2212yes—
78#10622261C2212yes—
79#10622260C2214yes—
80#10622260C2214yes—
81#10622260C2214yes—
82#10622259C2214yes—
83#10622259C2214yes—
84C22×Q8×C11—44no—
85C22×Q8×C11C2×C418yes—
86C22×Q8×C11C2311yescharacteristic
87C22×Q8×C11C2311yescharacteristic
88C22×Q8×C11C2312yes—
89C23×C4×C11C2311yescharacteristic
90C23×C4×C11C2312yes—
91C23×Dic11C2311yescharacteristic
92C23×Dic11C2312yes—
93C23×Dic11C2311yescharacteristic
94C22×Dic22—44no—
95C22×Dic22C2×C418yes—
96C22×Dic22C2311yescharacteristic
97C22×Dic22C2311yescharacteristic
98C22×Dic22C2312yes—
99C4×Q8×C11—44no—
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2314yes—
102C2×C11×C22⋊C4C2311yescharacteristic
103C2×C11×C22⋊C4C2312yes—
104C2×C11×C22⋊C4C2311yescharacteristic
105C2×C42×C11C2312yes—
106C2×C42×C11C2314yes—
107C2×C22⋊Dic11C2311yescharacteristic
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2311yescharacteristic
110Q8×Dic11—44no—
111#66997C2×C418yes—
112#66997C2×C418yes—
113#66997C2×C418yes—
114#66997C2×C418yes—
115#66997C2×C4116yes—
116#66997C2×C4116yes—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2314yes—
119C2×Dic11⋊C4C2×C4116yes—
120C2×Dic11⋊C4C2×C4116yes—
121C2×Dic11⋊C4C2312yes—
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2314yes—
124C2×Dic11⋊C4C2314yes—
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2312yes—
127C2×Dic11⋊C4C2312yes—
128C2×Dic11⋊C4C2312yes—
129C2×Dic11⋊C4C2312yes—
130C2×Dic11⋊C4C2312yes—
131C2×Dic11⋊C4C2312yes—
132C2×Dic11⋊C4C2312yes—
133C2×Dic11⋊C4C2312yes—
134C2×Dic11⋊C4C2312yes—
135C2×C4×Dic11C2×C418yes—
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2314yes—
138C2×C4×Dic11C2312yes—
139C2×C4×Dic11C2312yes—
140C2×C4×Dic11C2312yes—
141C2×C4×Dic11C2314yes—
142C2×C4×Dic11C2314yes—
143C2×C4×Dic11C2314yes—
144C2×C4×Dic11C2311yescharacteristic
145C2×C4×Dic11C2311yescharacteristic
146C2×C4×Dic11C2311yescharacteristic
147C2×C4×Dic11C2311yescharacteristic
148C2×C4×Dic11C2312yes—
149#66940—44no—
150#66930—24no—
151#66930—28no—
152#66930Q818yescomplemented
153C4×Dic22—44no—
154C11×#95C2312yes—
155C11×#95C2312yes—
156C11×#95C2314yes—
157C11×#95C2314yes—
158C11⋊#95C2312yes—
159C11⋊#95C2312yes—
160C11⋊#95C2314yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2314yes—
164C11⋊#95C2312yes—
165C11⋊#95C2312yes—
166C11⋊#95C2314yes—
167C11⋊#95C2314yes—
168C11⋊#95C2314yes—
169#34216—111nomaximal, Sylow
170C24×C11C2411yescharacteristic
171C2×Q8×C11—24no—
172C2×Q8×C11—24no—
173C2×Q8×C11—44no—
174C2×Q8×C11—416no—
175C2×Q8×C11C22×C414yes—
176C2×Q8×C11C22×C414yes—
177C2×Q8×C11C22×C418yes—
178C22×C4×C11—24no—
179C22×C4×C11—44no—
180C22×C4×C11C22×C414yes—
181C22×C4×C11C22×C418yes—
182C22×C4×C11C2414yes—
183C22×C4×C11C2412yes—
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2412yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2412yes—
188C22×C4×C11C2411yescharacteristic
189C22×Dic11—24no—
190C22×Dic11—44no—
191C22×Dic11C22×C414yes—
192C22×Dic11C22×C418yes—
193C22×Dic11C22×C414yes—
194C22×Dic11C2×Q814yes—
195C22×Dic11#4114yes—
196C22×Dic11C2412yes—
197C22×Dic11C2414yes—
198C22×Dic11C2411yescharacteristic
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2411yescharacteristic
203C22×Dic11C2411yescharacteristic
204C22×Dic11C2411yescharacteristic
205C2×Dic22—24no—
206C2×Dic22—24no—
207C2×Dic22—416no—
208C2×Dic22—44no—
209C2×Dic22C22×C414yes—
210C2×Dic22C22×C414yes—
211C2×Dic22C22×C418yes—
212C11×C4⋊C4—24no—
213C11×C4⋊C4—44no—
214C11×C22⋊C4—22no—
215C11×C22⋊C4—24no—
216C11×C22⋊C4C2×Q814yes—
217C42×C11—24no—
218C42×C11—44no—
219C22⋊Dic11—22no—
220C22⋊Dic11—24no—
221C22⋊Dic11C2×Q814yes—
222C4⋊Dic11—24no—
223C4⋊Dic11—44no—
224Dic11⋊C4—24no—
225Dic11⋊C4—28no—
226Dic11⋊C4—28no—
227Dic11⋊C4—44no—
228Dic11⋊C4—44no—
229Dic11⋊C4C22×C418yes—
230Dic11⋊C4C22×C418yes—
231Dic11⋊C4C22×C418yes—
232Dic11⋊C4C22×C418yes—
233Dic11⋊C4C22×C418yes—
234Dic11⋊C4C22×C418yes—
235Dic11⋊C4C22×C418yes—
236Dic11⋊C4C22×C418yes—
237Dic11⋊C4C2×Q818yescomplemented
238C4×Dic11—28no—
239C4×Dic11—24no—
240C4×Dic11—24no—
241C4×Dic11—24no—
242C4×Dic11—24no—
243C4×Dic11—44no—
244C4×Dic11—44no—
245C4×Dic11—44no—
246C4×Dic11C22×C414yes—
247C4×Dic11C22×C414yes—
248C4×Dic11C22×C414yes—
249C4×Dic11C22×C414yes—
250C4×Dic11C2×Q818yescomplemented
251C22×C4⋊Q8—111no—
252#2369—114no—
253#2365—112no—
254#2365—112no—
255#2345—112no—
256#2345—112no—
257Q8×C22⋊C4—111no—
258Q8×C22⋊C4—111no—
259Q8×C22⋊C4—111no—
260Q8×C22⋊C4D1111yescharacteristic
261#2331—114no—
262#2316—112no—
263C4×C4⋊Q8—112no—
264C4×C4⋊Q8—112no—
265#2285—111no—
266#2274—112no—
267C4×#117—111no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11C23×C412yes—
271C23×C11C22×Q812yes—
272C23×C11C2×#4112yes—
273C23×C11C2511yescharacteristic
274Q8×C11—28no—
275Q8×C11—28no—
276Q8×C11—48no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—28no—
283C2×C4×C11—24no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—48no—
290C2×C4×C11C23×C412yes—
291C2×C4×C11C23×C414yes—
292C2×C4×C11C23×C414yes—
293C2×C4×C11C23×C412yes—
294C2×C4×C11C22×Q814yes—
295C2×C4×C11H(5,𝔽2)14yes—
296C2×Dic11—22no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—28no—
302C2×Dic11—22no—
303C2×Dic11—24no—
304C2×Dic11—22no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—24no—
308C2×Dic11—48no—
309C2×Dic11C4×Q8116yescomplemented
310C2×Dic11C23×C412yes—
311C2×Dic11C23×C414yes—
312C2×Dic11C23×C414yes—
313C2×Dic11C23×C412yes—
314C2×Dic11C23×C412yes—
315C2×Dic11C23×C412yes—
316C2×Dic11C22×Q814yes—
317C2×Dic11C22×Q812yes—
318C2×Dic11C22×Q812yes—
319C2×Dic11C2×#4112yes—
320C2×Dic11C2×#4112yes—
321C2×Dic112−1+414yes—
322Dic22—28no—
323Dic22—28no—
324Dic22—48no—
325C23×Q8—111no—
326C23×Q8C2×D1111yescharacteristic
327C2×C4⋊Q8—111no—
328C2×C4⋊Q8—111no—
329C2×C4⋊Q8—112no—
330C2×C4⋊Q8—111no—
331C2×C4⋊Q8—111no—
332C2×C4⋊Q8—112no—
333C2×C4⋊Q8—1116no—
334C2×C4×Q8—112no—
335C2×C4×Q8—112no—
336C2×C4×Q8—112no—
337C2×C4×Q8C2×D1112yes—
338C2×#117—111no—
339C2×#117—111no—
340C2×#117—112no—
341C22×C4⋊C4—112no—
342C22×C4⋊C4—112no—
343C22×C42—111no—
344#391—112no—
345#391—114no—
346#391—112no—
347#391—112no—
348#391—114no—
349#391—114no—
350#391C2×D1112yes—
351#391C2×D1114yes—
352#389—114no—
353#389—114no—
354#389—114no—
355#389—114no—
356#389—114no—
357#389—114no—
358#387—114no—
359#387—114no—
360#387—114no—
361#387—114no—
362#384—112no—
363#382—112no—
364#380—112no—
365#380—111no—
366#380—112no—
367#380—112no—
368#380—112no—
369#380C2×D1112yes—
370#380C2×D1111yescharacteristic
371C4×C4⋊C4—112no—
372C4×C4⋊C4—114no—
373C4×C4⋊C4—114no—
374C4×C4⋊C4—112no—
375C4×C4⋊C4—114no—
376C4×C4⋊C4—114no—
377C4×C4⋊C4—114no—
378C4×C4⋊C4—114no—
379C4×C4⋊C4—112no—
380C4×C4⋊C4—112no—
381C4×C22⋊C4—111no—
382C4×C22⋊C4—112no—
383C4×C22⋊C4—112no—
384C4×C22⋊C4—112no—
385C4×C22⋊C4—111no—
386C4×C22⋊C4—111no—
387C4×C22⋊C4C2×D1111yescharacteristic
388C4×C22⋊C4C2×D1112yes—
389#376—112no—
390C43—112no—
391C22×C11—22no—
392C22×C11—22no—
393C22×C11—24no—
394C22×C11—24no—
395C22×C11C2×C4×Q814yes—
396C22×C11C24×C411yescharacteristic
397C22×C11C23×Q811yescharacteristic
398C22×C11C22×#4111yescharacteristic
399C22×C11C2×H(5,𝔽2)12yes—
400C22×C11C2×2−1+412yes—
401C4×C11—22no—
402C4×C11—24no—
403C4×C11—24no—
404C4×C11—24no—
405C4×C11—44no—
406C4×C11—42no—
407C4×C11#51814yes—
408Dic11—24no—
409Dic11—24no—
410Dic11—22no—
411Dic11—24no—
412Dic11—42no—
413Dic11—44no—
414Dic11C2×C4×Q814yes—
415Dic11C2×C4×Q814yes—
416Dic11#51914yes—
417C22×Q8—44no—
418C22×Q8—118no—
419C22×Q8—111no—
420C22×Q8—111no—
421C22×Q8—112no—
422C22×Q8—444no—
423C22×Q8C4×D1118yes—
424C22×Q8C22×D1111yescharacteristic
425C22×Q8C22×D1111yescharacteristic
426C22×Q8C22×D1112yes—
427C23×C4—111no—
428C23×C4—111no—
429C23×C4—112no—
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1112yes—
432C4⋊Q8—118no—
433C4⋊Q8—118no—
434C4⋊Q8—118no—
435C4⋊Q8—118no—
436C4⋊Q8—1116no—
437C4⋊Q8—1116no—
438C4×Q8—44no—
439C4×Q8—444no—
440C4×Q8—444no—
441C4×Q8—444no—
442#117—118no—
443#117—224no—
444#117—228no—
445C2×C4⋊C4—1116no—
446C2×C4⋊C4—1116no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—112no—
453C2×C4⋊C4—112no—
454C2×C4⋊C4—112no—
455C2×C4⋊C4—112no—
456C2×C4⋊C4—114no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4—112no—
459C2×C4⋊C4—114no—
460C2×C4⋊C4—114no—
461C2×C4⋊C4—114no—
462C2×C4⋊C4—114no—
463C2×C4⋊C4C22×D1112yes—
464C2×C4⋊C4C22×D1114yes—
465C2×C22⋊C4—111no—
466C2×C22⋊C4—111no—
467C2×C22⋊C4—112no—
468C2×C22⋊C4C22×D1111yescharacteristic
469C2×C22⋊C4C22×D1112yes—
470C2×C22⋊C4C22×D1111yescharacteristic
471C2×C42—118no—
472C2×C42—112no—
473C2×C42—111no—
474C2×C42—111no—
475C2×C42—111no—
476C2×C42—111no—
477C2×C42—112no—
478C2×C42—114no—
479C2×C42—112no—
480C2×C42—112no—
481C2×C42—112no—
482C2×C42—114no—
483C2×C42—114no—
484C2×C42—114no—
485C2×C42C22×D1112yes—
486C2×C42C22×D1114yes—
487#95—112no—
488#95—112no—
489#95—112no—
490#95—114no—
491#95—114no—
492#95—114no—
493#95—114no—
494#95—112no—
495#95—114no—
496#95—114no—
497#95—114no—
498#95C22×D1112yes—
499#95C22×D1114yes—
500#95C22×D1112yes—
501#95C22×D1114yes—
502C2×C11—24no—
503C2×C11C22×C4×Q811yescharacteristic
504C2×C11C2×#51811yescharacteristic
505C2×C11C2×#51911yescharacteristic
506C2×C11#350312yes—
507C2×C11#351112yes—
508C24C23×D1111yescharacteristic
509C2×Q8—24no—
510C2×Q8—24no—
511C2×Q8—44no—
512C2×Q8—416no—
513C2×Q8—114no—
514C2×Q8—114no—
515C2×Q8—118no—
516C2×Q8—224no—
517C2×Q8—224no—
518C2×Q8—444no—
519C2×Q8—4416no—
520C2×Q8C2×C4×D1114yes—
521C2×Q8C2×C4×D1114yes—
522C2×Q8C2×C4×D1118yes—
523C22×C4—24no—
524C22×C4—44no—
525C22×C4—114no—
526C22×C4—114no—
527C22×C4—114no—
528C22×C4—111no—
529C22×C4—111no—
530C22×C4—111no—
531C22×C4—114no—
532C22×C4—111no—
533C22×C4—112no—
534C22×C4—112no—
535C22×C4—112no—
536C22×C4—118no—
537C22×C4—112no—
538C22×C4—114no—
539C22×C4—224no—
540C22×C4—444no—
541C22×C4C2×C4×D1114yes—
542C22×C4C2×C4×D1118yes—
543C22×C4C23×D1112yes—
544C22×C4C23×D1114yes—
545C22×C4C23×D1111yescharacteristic
546C22×C4C23×D1112yes—
547C22×C4C23×D1112yes—
548C22×C4C23×D1112yes—
549C22×C4C23×D1111yescharacteristic
550C4⋊C4—24no—
551C4⋊C4—44no—
552C4⋊C4—118no—
553C4⋊C4—118no—
554C4⋊C4—118no—
555C4⋊C4—118no—
556C4⋊C4—118no—
557C4⋊C4—118no—
558C4⋊C4—118no—
559C4⋊C4—118no—
560C4⋊C4—118no—
561C4⋊C4—224no—
562C4⋊C4—228no—
563C4⋊C4—228no—
564C4⋊C4—224no—
565C4⋊C4—444no—
566C4⋊C4—444no—
567C4⋊C4—444no—
568C22⋊C4—22no—
569C22⋊C4—24no—
570C22⋊C4—114no—
571C22⋊C4—222no—
572C22⋊C4—224no—
573C22⋊C4Q8×D1114yes—
574C42—24no—
575C42—44no—
576C42—114no—
577C42—114no—
578C42—114no—
579C42—114no—
580C42—118no—
581C42—228no—
582C42—224no—
583C42—224no—
584C42—224no—
585C42—224no—
586C42—444no—
587C42—444no—
588C42—444no—
589C11#3421611yescharacteristic, complemented, Sylow
590C23—22no—
591C23—22no—
592C23C22×C4×D1112yes—
593C23C2×Q8×D1112yes—
594C23#41×D1112yes—
595C23C24×D1111yescharacteristic
596Q8—28no—
597Q8—28no—
598Q8—48no—
599Q8—228no—
600Q8—228no—
601Q8—448no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—28no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—48no—
615C2×C4—1116no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—112no—
620C2×C4—112no—
621C2×C4—112no—
622C2×C4—112no—
623C2×C4—114no—
624C2×C4—112no—
625C2×C4—114no—
626C2×C4—114no—
627C2×C4—114no—
628C2×C4—228no—
629C2×C4—222no—
630C2×C4—224no—
631C2×C4—224no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—224no—
636C2×C4—222no—
637C2×C4—224no—
638C2×C4—222no—
639C2×C4—224no—
640C2×C4—448no—
641C2×C4C22×C4×D1112yes—
642C2×C4C22×C4×D1114yes—
643C2×C4C22×C4×D1114yes—
644C2×C4C22×C4×D1112yes—
645C2×C4#6703714yes—
646C2×C4C2×Q8×D1114yes—
647C22—24no—
648C22—24no—
649C22—22no—
650C22—22no—
651C22C4×Q8×D1114yes—
652C22C23×C4×D1111yescharacteristic
653C22C2×#6703712yes—
654C22C22×Q8×D1111yescharacteristic
655C22C2×#41×D1111yescharacteristic
656C22D11×2−1+412yes—
657C4—24no—
658C4—22no—
659C4—24no—
660C4—24no—
661C4—42no—
662C4—44no—
663C4—114no—
664C4—114no—
665C4—114no—
666C4—224no—
667C4—224no—
668C4—224no—
669C4—222no—
670C4—442no—
671C4—444no—
672C4#1062301714yes—
673C2—24no—
674C2C2×C4×Q8×D1111yescharacteristic
675C2C2×#1062301711yescharacteristic
676C2D11×#51911yescharacteristic
677C2#1308242712yes—
678C2#1308252212yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingQ8×C11×C22⋊C4C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenterQ8×C22⋊C4D11
hypocenterC11#34216
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #13071704C2semidirect
3. #13071673C2semidirect
4. #13071670C2semidirect
10. #13071359C2semidirect
12. #13071185C2semidirect
13. C4×#66997C2semidirect
22. C2×#66997C4semidirect
152. #66930Q8semidirect
237. Dic11⋊C4C2×Q8semidirect
250. C4×Dic11C2×Q8semidirect
309. C2×Dic11C4×Q8semidirect
589. C11#34216semidirect

Maximal subgroups

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

subgroupindex
C22×#669972
#130717042
#130716732
#130716702
#130714942
#130714882
Q8×C22⋊Dic112
C22⋊C4×Dic222
#130714482
#130713592
#130712332
#130711852
C4×#669972
#130710182
#130709712
C4×#669302
Q8×C11×C22⋊C42
#3421611