Finite Group Databasebeta

← #15617455

Subgroups — #15617455

Order 2816.

2694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623276C211yesmaximal, characteristic
2#13081817C211yesmaximal, characteristic
3C2×#10623054C211yesmaximal, characteristic
4#13077215C214yesmaximal, complemented
5#13077213C214yesmaximal, complemented
6#13077210C214yesmaximal, complemented
7#13077208C214yesmaximal, complemented
8#13077205C211yesmaximal, characteristic, complemented
9#13077203C214yesmaximal, complemented
10C2×#10622608C211yesmaximal, characteristic, complemented
11C2×#10622734C211yesmaximal, characteristic, complemented
12D11×#428C214yesmaximal, complemented
13C11×#2911C211yesmaximal, characteristic, complemented
14C22×#4339C2211yescharacteristic
15C22×C11×M16C2211yescharacteristic
16C2×C11×#117C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×#66979C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C22×#4318C2211yescharacteristic
21#10623276C4116yescomplemented
22C2×#66960C2214yes—
23C2×M16×D11C2214yes—
24C2×#66954C2214yes—
25#10623054—22no—
26#10623054—22no—
27#10623054C2214yes—
28#10623054C2214yes—
29#10623054C2212yes—
30#10623054C2212yes—
31#10623053—22no—
32#10623052—21no—
33D11×#117C2214yes—
34#10623047—21no—
35#10623035C2212yes—
36#10623035C2212yes—
37C2×#66945C2212yes—
38C2×C4⋊C4×D11C2212yes—
39#10623017—22no—
40C2×(C22⋊D11)⋊C4—22no—
41C4×#4339—22no—
42C2×C4×D44—21no—
43C2×C4×Dic22—21no—
44C11×#428C2212yes—
45C11×#428C2212yes—
46C11×#428C2212yescomplemented
47C11×#428C2212yescomplemented
48C11×#427C2214yescomplemented
49#10622734C2214yes—
50#10622734C2214yescomplemented
51C2×#66882C2212yescomplemented
52C2×#66881C2212yescomplemented
53#10622611C2214yescomplemented
54#10622608C2214yes—
55#10622608C2214yescomplemented
56#10622608C2212yescomplemented
57#10622608C2212yescomplemented
58#10622577C2212yes—
59#10622577C2212yes—
60C2×#66872C2212yescomplemented
61C2×#66871C2212yescomplemented
62#10622494C2218yescomplemented
63#10622494C2218yescomplemented
64#10622493C2218yescomplemented
65D11×#107C2218yescomplemented
66#10622474C2218yescomplemented
67#10622474C2218yescomplemented
68#10622473C2218yescomplemented
69D11×#106C2218yescomplemented
70C23×C4×C11C2311yescharacteristic
71C22×C22⋊D11D412yes—
72C23×Dic11—21no—
73C2×#4339C2×C418yes—
74C2×#4339D412yes—
75C2×#4339D412yes—
76C2×#4339Q818yes—
77C2×#4339C2312yes—
78C2×#4339C2312yes—
79C22×D44D411yescharacteristic
80C22×C4×D11—22no—
81C22×C4×D11C2312yes—
82C22×Dic22D411yescharacteristic
83C2×C11×M16C2×C418yescomplemented
84C2×C11×M16C2312yes—
85C2×C11×M16C2312yes—
86C22×C8×C11C2312yes—
87C11×#117—21no—
88C11×#117—21no—
89C11×#117—21no—
90C11×#117—21no—
91C11×#117C2312yes—
92C11×#117C2312yes—
93C11×#117C2312yes—
94C11×#117C2312yes—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C42×C11—21no—
102C2×C42×C11—21no—
103C2×C22⋊Dic11—21no—
104C4×C22⋊D11—24no—
105C4×C22⋊D11—24no—
106C2×(C2×D11)⋊C4—22no—
107#66979—21no—
108#66979—21no—
109#66979C2312yes—
110#66979C2312yes—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×Dic11⋊C4—22no—
120C2×C4×Dic11—21no—
121C2×C4×Dic11—22no—
122C2×#4318C2×C418yescomplemented
123C2×#4318C2312yes—
124C2×#4318C2312yes—
125C22×C11⋊C8C2312yes—
126#66960C2×C4132yescomplemented
127M16×D11C2×C4132yescomplemented
128#66954C2×C4132yescomplemented
129C2×#4313C2318yes—
130C2×C8×D11C2318yes—
131#66946—22no—
132#66946—22no—
133#66945—24no—
134#66945C2314yes—
135#66945C2318yes—
136#66945C2314yes—
137C4⋊C4×D11—24no—
138C4⋊C4×D11C2314yes—
139C4⋊C4×D11C2318yes—
140C4⋊C4×D11C2314yes—
141#66940—22no—
142#66940—22no—
143(C22⋊D11)⋊C4—28no—
144(C22⋊D11)⋊C4—28no—
145(C22⋊D11)⋊C4—24no—
146(C22⋊D11)⋊C4—24no—
147C22⋊C4×D11—24no—
148#66930—24no—
149C4×D44—24no—
150C4×D44—24no—
151C4×D44—22no—
152C4×D44—22no—
153#66925—24no—
154C42×D11—24no—
155C4×Dic22—24no—
156C4×Dic22—24no—
157C4×Dic22—22no—
158C4×Dic22—22no—
159C11×#107C2314yes—
160C11×#107C2314yes—
161C11×#106C2314yes—
162C11×#106C2314yes—
163#66882C2318yes—
164#66881C2318yes—
165#66872C2314yes—
166#66872C2318yes—
167#66872C2314yes—
168#66871C2314yes—
169#66871C2318yes—
170#66871C2314yes—
171#60109—111nomaximal, Sylow
172C24×C11C2×D411yescharacteristic
173C23×D11C2×D412yes—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11C22×C414yes—
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×Q814yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2411yescharacteristic
186C2×C22⋊D11C4⋊C4116yes—
187C2×C22⋊D11C2×D414yes—
188C2×C22⋊D11C2×D414yes—
189C22×Dic11—22no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—22no—
193C22×Dic11—22no—
194C22×Dic11—82no—
195C22×Dic11C2×D412yes—
196#4339C4⋊C4116yes—
197#4339C4⋊C4116yes—
198#4339C22×C418yes—
199#4339C22×C418yes—
200#4339C2×Q818yes—
201#4339C2×Q818yes—
202C2×D44C4⋊C418yes—
203C2×D44C2×D412yes—
204C2×D44C2×D412yes—
205C2×C4×D11—24no—
206C2×C4×D11—24no—
207C2×C4×D11—28no—
208C2×C4×D11—84no—
209C2×C4×D11C22×C418yes—
210C2×C4×D11C2×D414yes—
211C2×C4×D11C2×Q818yes—
212C2×C4×D11C2414yes—
213C2×Dic22C4⋊C418yes—
214C2×Dic22C2×D412yes—
215C2×Dic22C2×D412yes—
216C11×M16C22×C418yes—
217C11×M16C22×C418yescomplemented
218C2×C8×C11C22×C418yescomplemented
219C2×C8×C11C2414yes—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4C2412yes—
225C11×C4⋊C4C2412yes—
226C11×C4⋊C4C2412yes—
227C11×C4⋊C4C2412yes—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C42×C11—22no—
233C42×C11—22no—
234C42×C11—22no—
235C42×C11—22no—
236C22⋊Dic11—22no—
237C22⋊Dic11—22no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—28no—
241C4⋊Dic11—22no—
242C4⋊Dic11—22no—
243C4⋊Dic11—21no—
244C4⋊Dic11—21no—
245C4⋊Dic11—22no—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2414yes—
248C4⋊Dic11C2412yes—
249Dic11⋊C4—28no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252C4×Dic11—28no—
253C4×Dic11—24no—
254C4×Dic11—24no—
255C4×Dic11—22no—
256C4×Dic11—22no—
257#4318C22×C418yes—
258#4318C22×C418yescomplemented
259C2×C11⋊C8C22×C418yescomplemented
260C2×C11⋊C8C2414yes—
261#4313C22×C4132yescomplemented
262C8×D11C22×C4132yescomplemented
263C2×#568—111no—
264#3428—111no—
265C2×#520—111no—
266#2913—114no—
267#2913—114no—
268#2912—114no—
269#2912—114no—
270#2911—114no—
271#2911—111no—
272#2911D1111yescharacteristic, complemented
273C2×#428—114no—
274C2×#428—111no—
275C2×#428—111no—
276C23×C11—41no—
277C23×C11—41no—
278C23×C11C2×C4⋊C414yes—
279C23×C11C22×D411yescharacteristic
280C23×C11C22×D411yescharacteristic
281C23×C11C22×D411yescharacteristic
282C22×D11—42no—
283C22×D11—42no—
284C22×D11C2×C4⋊C418yes—
285C22×D11C22×D414yes—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—81no—
293C2×C4×C11—81no—
294C2×C4×C11C2×C4⋊C414yes—
295C2×C4×C11C2×C4⋊C414yes—
296C2×C4×C11C2×C4⋊C414yes—
297C2×C4×C11C23×C412yes—
298C2×C4×C11C23×C412yes—
299C2×C4×C11C23×C412yes—
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C22×Q812yes—
304C2×C4×C11C22×Q812yes—
305C2×C4×C11C22×Q812yes—
306C2×C4×C11C2511yescharacteristic
307C22⋊D11C2×C4⋊C4116yes—
308C22⋊D11C2×C4⋊C4116yes—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—44no—
313C2×Dic11—81no—
314C2×Dic11—81no—
315C2×Dic11—82no—
316C2×Dic11—82no—
317C2×Dic11C2×C4⋊C418yes—
318C2×Dic11C22×D414yes—
319D44C2×C4⋊C418yes—
320D44C2×C4⋊C418yes—
321C4×D11—84no—
322C4×D11—84no—
323C4×D11—88no—
324C4×D11C2×C4⋊C4116yes—
325C4×D11C23×C418yes—
326C4×D11C22×Q818yes—
327Dic22C2×C4⋊C418yes—
328Dic22C2×C4⋊C418yes—
329C8×C11C23×C418yes—
330C11⋊C8C23×C418yes—
331C22×#41—111no—
332#568—1116no—
333C2×#131—114no—
334C2×#131—114no—
335C22×M16—111no—
336C22×M16—114no—
337C22×M16C2×D1111yescharacteristic
338#520—112no—
339#520—114no—
340#520—114no—
341#520—112no—
342#520—112no—
343#520—112no—
344#520—222no—
345#520—222no—
346#519—221no—
347#518—222no—
348#518—221no—
349C4×#41—222no—
350C4×#41—222no—
351C2×C4×Q8—221no—
352C2×C4×D4—221no—
353C2×C4×D4—222no—
354C2×#117—111no—
355C2×#117—114no—
356C2×#117—112no—
357C2×#117C2×D1111yescharacteristic
358C2×#117C2×D1111yescharacteristic
359C22×C4⋊C4—111no—
360C22×C4⋊C4—112no—
361#428—114no—
362#428—114no—
363#428—114no—
364#428—114no—
365#428—112no—
366#428—112no—
367#428—112no—
368#428—112no—
369#428—118no—
370#428—118no—
371#428—118no—
372#428—118no—
373#428C2×D1112yes—
374#428C2×D1112yes—
375#428C2×D1112yescomplemented
376#428C2×D1112yescomplemented
377#427—114no—
378#427—118no—
379#427—118no—
380#427C2×D1114yescomplemented
381C2×#107—112no—
382C2×#107—112no—
383C2×#107—118no—
384C2×#106—112no—
385C2×#106—112no—
386C2×#106—118no—
387C22×C11—21no—
388C22×C11—21no—
389C22×C11—21no—
390C22×C11—21no—
391C22×C11—21no—
392C22×C11—21no—
393C22×C11—44no—
394C22×C11C22×C4⋊C412yes—
395C22×C11C22×C4⋊C412yes—
396C22×C11C22×C4⋊C412yes—
397C22×C11C23×D411yescharacteristic
398C2×D11—24no—
399C2×D11—24no—
400C2×D11—48no—
401C2×D11C22×C4⋊C418yes—
402C4×C11—42no—
403C4×C11—42no—
404C4×C11—42no—
405C4×C11—42no—
406C4×C11C22×C4⋊C412yes—
407C4×C11C22×C4⋊C412yes—
408C4×C11C22×C4⋊C412yes—
409C4×C11C24×C411yescharacteristic
410C4×C11C23×Q811yescharacteristic
411Dic11—44no—
412Dic11—42no—
413Dic11—42no—
414Dic11C22×C4⋊C418yes—
415C2×#41—118no—
416C2×#41—112no—
417C2×#41—112no—
418C2×#41—118no—
419C2×#41—112no—
420C2×#41—112no—
421C22×Q8—111no—
422C22×D4—112no—
423C22×D4—111no—
424C23×C4—112no—
425C23×C4—222no—
426C23×C4—221no—
427C23×C4C22×D1111yescharacteristic
428#131—1132no—
429#131—1132no—
430C2×M16—118no—
431C2×M16—112no—
432C2×M16—112no—
433C2×M16—1132no—
434C2×M16—118no—
435C2×M16C4×D1118yescomplemented
436C2×M16C22×D1112yes—
437C2×M16C22×D1112yes—
438C22×C8—112no—
439C22×C8—118no—
440C22×C8C22×D1112yes—
441C4×Q8—224no—
442C4×Q8—224no—
443C4×Q8—222no—
444C4×Q8—222no—
445C4×Q8—222no—
446C4×Q8—222no—
447C4×D4—224no—
448C4×D4—224no—
449C4×D4—222no—
450C4×D4—222no—
451C4×D4—228no—
452C4×D4—228no—
453C4×D4—224no—
454C4×D4—224no—
455C4×D4—222no—
456C4×D4—222no—
457C4×D4—224no—
458C4×D4—224no—
459#117—21no—
460#117—21no—
461#117—21no—
462#117—21no—
463#117—112no—
464#117—112no—
465#117—114no—
466#117—118no—
467#117—114no—
468#117—224no—
469#117—224no—
470#117—224no—
471#117—221no—
472#117—221no—
473#117C22×D1112yes—
474#117C22×D1112yes—
475#117C22×D1112yes—
476#117C22×D1112yes—
477C2×C4⋊C4—112no—
478C2×C4⋊C4—112no—
479C2×C4⋊C4—112no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—111no—
482C2×C4⋊C4—118no—
483C2×C4⋊C4—114no—
484C2×C4⋊C4—114no—
485C2×C4⋊C4—224no—
486C2×C4⋊C4—222no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4—221no—
489C2×C4⋊C4—221no—
490C2×C4⋊C4C22×D1111yescharacteristic
491C2×C4⋊C4C22×D1111yescharacteristic
492C2×C4⋊C4C22×D1111yescharacteristic
493C2×C4⋊C4C22×D1111yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—21no—
496C2×C22⋊C4—224no—
497C2×C22⋊C4—222no—
498C2×C22⋊C4—221no—
499C2×C42—21no—
500C2×C42—21no—
501C2×C42—224no—
502C2×C42—222no—
503C2×C42—221no—
504#107—118no—
505#107—118no—
506#107—114no—
507#107—114no—
508#107C22×D1114yes—
509#107C22×D1114yes—
510#106—118no—
511#106—114no—
512#106—118no—
513#106—114no—
514#106C22×D1114yes—
515#106C22×D1114yes—
516C2×C11—22no—
517C2×C11—22no—
518C2×C11—22no—
519C2×C11C23×C4⋊C411yescharacteristic
520C2×C11#358511yescharacteristic
521C2×C11#358611yescharacteristic
522D11—28no—
523C24—112no—
524C24D4×D1111yescharacteristic
525#41—1116no—
526#41—1116no—
527#41—118no—
528#41—118no—
529#41—118no—
530#41—118no—
531C2×Q8—118no—
532C2×Q8—112no—
533C2×Q8—112no—
534C2×D4—1116no—
535C2×D4—114no—
536C2×D4—114no—
537C2×D4—118no—
538C2×D4—112no—
539C2×D4—112no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—112no—
545C22×C4—118no—
546C22×C4—114no—
547C22×C4—118no—
548C22×C4—114no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—228no—
552C22×C4—222no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—884no—
558C22×C4—882no—
559C22×C4C2×C4×D1114yes—
560C22×C4D4×D1111yescharacteristic
561C22×C4D4×D1111yescharacteristic
562C22×C4D4×D1111yescharacteristic
563C22×C4Q8×D1114yes—
564C22×C4C23×D1111yescharacteristic
565C22×C4C23×D1111yescharacteristic
566C22×C4C23×D1111yescharacteristic
567M16—118no—
568M16—118no—
569M16—1132no—
570M16C2×C4×D1118yes—
571M16C2×C4×D1118yescomplemented
572C2×C8—118no—
573C2×C8—114no—
574C2×C8—1132no—
575C2×C8C2×C4×D1118yescomplemented
576C2×C8C23×D1114yes—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—112no—
582C4⋊C4—114no—
583C4⋊C4—112no—
584C4⋊C4—228no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—222no—
588C4⋊C4—222no—
589C4⋊C4—222no—
590C4⋊C4—221no—
591C4⋊C4—221no—
592C4⋊C4C23×D1112yes—
593C4⋊C4C23×D1112yes—
594C4⋊C4C23×D1112yes—
595C4⋊C4C23×D1112yes—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—228no—
601C22⋊C4—224no—
602C22⋊C4—224no—
603C22⋊C4—222no—
604C22⋊C4—222no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—228no—
610C42—224no—
611C42—224no—
612C42—222no—
613C42—222no—
614C11#6010911yescharacteristic, complemented, Sylow
615C23—41no—
616C23—41no—
617C23—114no—
618C23—118no—
619C23—442no—
620C23—442no—
621C23C4⋊C4×D1114yes—
622C23C2×D4×D1111yescharacteristic
623C23C2×D4×D1111yescharacteristic
624C23C2×D4×D1111yescharacteristic
625Q8—118no—
626Q8—118no—
627D4—1116no—
628D4—1116no—
629D4—118no—
630D4—118no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—81no—
639C2×C4—118no—
640C2×C4—114no—
641C2×C4—1116no—
642C2×C4—118no—
643C2×C4—118no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—224no—
647C2×C4—444no—
648C2×C4—888no—
649C2×C4—884no—
650C2×C4—884no—
651C2×C4—882no—
652C2×C4—882no—
653C2×C4—881no—
654C2×C4—881no—
655C2×C4C4⋊C4×D1114yes—
656C2×C4C4⋊C4×D1114yes—
657C2×C4C4⋊C4×D1114yes—
658C2×C4C22×C4×D1112yes—
659C2×C4C22×C4×D1112yes—
660C2×C4C22×C4×D1112yes—
661C2×C4C2×D4×D1111yescharacteristic
662C2×C4C2×D4×D1111yescharacteristic
663C2×C4C2×D4×D1111yescharacteristic
664C2×C4C2×Q8×D1112yes—
665C2×C4C2×Q8×D1112yes—
666C2×C4C2×Q8×D1112yes—
667C2×C4C24×D1111yescharacteristic
668C8—118no—
669C8C22×C4×D1118yes—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—44no—
677C22—118no—
678C22—224no—
679C22—224no—
680C22—448no—
681C22C2×C4⋊C4×D1112yes—
682C22C2×C4⋊C4×D1112yes—
683C22C2×C4⋊C4×D1112yes—
684C22C22×D4×D1111yescharacteristic
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—118no—
690C4—444no—
691C4—442no—
692C4—442no—
693C4C2×C4⋊C4×D1112yes—
694C4C2×C4⋊C4×D1112yes—
695C4C2×C4⋊C4×D1112yes—
696C4C23×C4×D1111yescharacteristic
697C4C22×Q8×D1111yescharacteristic
698C2—22no—
699C2—22no—
700C2—22no—
701C2—228no—
702C2C22×C4⋊C4×D1111yescharacteristic
703C2#1308339311yescharacteristic
704C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC11×#2911C2
socleC22×C11C23×D4
prime radicalC22×#4339C22
cosocleC2×C4×C11C25
hypercenter#2911D11
hypocenterC11#60109
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2911

Complements

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

NH ≅ G/Ntype
4. #13077215C2semidirect
5. #13077213C2semidirect
6. #13077210C2semidirect
7. #13077208C2semidirect
8. #13077205C2semidirect
9. #13077203C2semidirect
10. C2×#10622608C2semidirect
11. C2×#10622734C2semidirect
12. D11×#428C2semidirect
13. C11×#2911C2semidirect
21. #10623276C4semidirect
46. C11×#428C22semidirect
47. C11×#428C22semidirect
48. C11×#427C22semidirect
50. #10622734C22semidirect
51. C2×#66882C22semidirect
52. C2×#66881C22semidirect
53. #10622611C22semidirect
55. #10622608C22semidirect
56. #10622608C22semidirect
57. #10622608C22semidirect
60. C2×#66872C22semidirect
61. C2×#66871C22semidirect
62. #10622494C22semidirect
63. #10622494C22semidirect
64. #10622493C22semidirect
65. D11×#107C22semidirect
66. #10622474C22semidirect
67. #10622474C22semidirect
68. #10622473C22semidirect
69. D11×#106C22semidirect
83. C2×C11×M16C2×C4semidirect
122. C2×#4318C2×C4semidirect
126. #66960C2×C4semidirect
127. M16×D11C2×C4semidirect
128. #66954C2×C4semidirect
217. C11×M16C22×C4semidirect
218. C2×C8×C11C22×C4semidirect
258. #4318C22×C4semidirect
259. C2×C11⋊C8C22×C4semidirect
261. #4313C22×C4semidirect
262. C8×D11C22×C4semidirect
272. #2911D11semidirect
375. #428C2×D11semidirect
376. #428C2×D11semidirect
380. #427C2×D11semidirect
435. C2×M16C4×D11semidirect
571. M16C2×C4×D11semidirect
575. C2×C8C2×C4×D11semidirect
614. C11#60109semidirect

Maximal subgroups

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

subgroupindex
C2×#106232762
#130818172
C2×#106230542
#130772152
#130772132
#130772102
#130772082
#130772052
#130772032
C2×#106226082
C2×#106227342
D11×#4282
C11×#29112
#6010911