Finite Group Databasebeta

← #15618053

Subgroups — #15618053

Order 2816.

2818 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623366C211yesmaximal, characteristic
2C4×#67042C211yesmaximal, characteristic, complemented
3#13077497C213yesmaximal, complemented
4#13077466C213yesmaximal, complemented
5#13077448C213yesmaximal, complemented
6#13077444C213yesmaximal, complemented
7C4×#66985C213yesmaximal, complemented
8C4×#67002C213yesmaximal, complemented
9#13077414C213yesmaximal, complemented
10C2×#10622627C213yesmaximal, complemented
11#13077209C211yesmaximal, characteristic, complemented
12#13077142C211yesmaximal, characteristic, complemented
13#13077139C211yesmaximal, characteristic, complemented
14#13077044C211yesmaximal, characteristic, complemented
15C4×C11×H(5,𝔽2)C211yesmaximal, characteristic, complemented
16C2×C11×H(5,𝔽2)C2211yescharacteristic
17C2×#67042C2211yescharacteristic
18C11×#520—21no—
19C11×#520C2211yescharacteristic
20C11×#520C2213yescomplemented
21C11×#518—23no—
22C11×#518C2213yescomplemented
23C4×C11×#41—21no—
24C4×C11×#41C2211yescharacteristic
25C4×C11×#41C2213yescomplemented
26C2×C4×D4×C11—23no—
27C2×C4×D4×C11C2213yescomplemented
28#10623366C4116yescomplemented
29#10623358C2211yescharacteristic
30C2×#67003C2213yes—
31C2×#67002C2213yes—
32C2×#67001C2211yescharacteristic
33C2×#67001C2211yescharacteristic
34C2×#66985C2213yes—
35C22×#4323C2213yes—
36#10623105—21no—
37C4×#4343—21no—
38#10623076—23no—
39C4×D4×D11—23no—
40#10623054C2213yescomplemented
41#10623052C2213yescomplemented
42C4×#4339C2213yescomplemented
43C2×C4×D44C2213yescomplemented
44#10622846C2213yescomplemented
45#10622845C2213yescomplemented
46#10622828C2213yescomplemented
47C2×#66896C2213yescomplemented
48#10622643C2211yescharacteristic, complemented
49#10622643C2213yescomplemented
50#10622639C2213yescomplemented
51#10622639C2213yescomplemented
52C4×#4325C2216yescomplemented
53#10622631C2213yescomplemented
54#10622631C2213yescomplemented
55C4×#4324C2216yescomplemented
56#10622627C2213yescomplemented
57#10622627C2216yescomplemented
58#10622627C2216yescomplemented
59#10622627C2216yescomplemented
60#10622627C2213yescomplemented
61C4×#4323C2216yescomplemented
62C4×#4323C2216yescomplemented
63#10622615C2213yescomplemented
64#10622614C2213yescomplemented
65#10622611C2213yescomplemented
66#10622610C2213yescomplemented
67#10622610C2213yescomplemented
68#10622608C2213yescomplemented
69#10622579C2213yescomplemented
70C2×#66873C2213yescomplemented
71#10622577C2213yescomplemented
72C2×#66872C2213yescomplemented
73C4×#4318C2213yescomplemented
74C2×#66867C2213yescomplemented
75C11×H(5,𝔽2)—24no—
76C11×H(5,𝔽2)C2×C418yescomplemented
77C2×C11×#41—21no—
78C2×C11×#41C2313yes—
79C2×C11×#41C2311yescharacteristic
80C22×D4×C11—23no—
81C22×D4×C11C2313yes—
82C23×C4×C11—23no—
83#67042—24no—
84#67042C2×C418yescomplemented
85C2×#4343—21no—
86C2×D4×D11—23no—
87C2×#4339C2313yes—
88C22×D44C2313yes—
89C22×C4×D11—23no—
90C4×Q8×C11—21no—
91C4×Q8×C11D411yescharacteristic
92C4×Q8×C11D411yescharacteristic
93C4×Q8×C11C2311yescharacteristic
94C4×Q8×C11C2313yes—
95C4×D4×C11—23no—
96C4×D4×C11—23no—
97C4×D4×C11—23no—
98C4×D4×C11—23no—
99C4×D4×C11—23no—
100C4×D4×C11—26no—
101C4×D4×C11—23no—
102C4×D4×C11—23no—
103C4×D4×C11D413yes—
104C4×D4×C11D413yes—
105C4×D4×C11C2313yes—
106C4×D4×C11C2316yes—
107C4×D4×C11C2313yes—
108C11×#117—23no—
109C11×#117—23no—
110C11×#117C2313yes—
111C11×#117C2313yes—
112C2×C11×C4⋊C4—23no—
113C2×C11×C4⋊C4C2313yes—
114C2×C11×C22⋊C4—23no—
115C2×C11×C22⋊C4—26no—
116C2×C42×C11—23no—
117C2×C42×C11C2313yes—
118#67003C2×C4124yescomplemented
119#67002C2×C4124yescomplemented
120#67001—24no—
121#67001C2×C418yescomplemented
122Q8×Dic11—21no—
123C2×#4326C2311yescharacteristic
124C2×#4325C2313yes—
125D4×Dic11—23no—
126C2×#4324C2313yes—
127#66985C2×C4124yescomplemented
128C2×#4323C2×C4124yescomplemented
129C2×#4323C2313yes—
130C2×#4323C2316yes—
131C4×C22⋊D11—23no—
132C4×C22⋊D11—23no—
133C2×(C2×D11)⋊C4—23no—
134#66979C2313yes—
135C2×C4⋊Dic11C2313yes—
136C2×#4318C2313yes—
137C2×#4318C2313yes—
138C22×C11⋊C8C2313yes—
139C22×C11⋊C8C2313yes—
140#66946—23no—
141#66946—23no—
142#66945—23no—
143C4⋊C4×D11—23no—
144(C22⋊D11)⋊C4—26no—
145C22⋊C4×D11—26no—
146C4×D44—23no—
147C4×D44—23no—
148C4×D44C2313yes—
149C4×D44C2316yes—
150C4×D44C2313yes—
151#66925—23no—
152C42×D11—23no—
153C4×Dic22C2311yescharacteristic
154C4×Dic22C2313yes—
155#66899C2313yes—
156#66899C2311yescharacteristic
157#66896C2313yes—
158#66896C2316yes—
159#66896C2313yes—
160#66874C2313yes—
161#66874C2311yescharacteristic
162#66873C2313yes—
163#66873C2316yes—
164#66873C2313yes—
165#66872C2313yes—
166#66872C2316yes—
167#66872C2311yescharacteristic
168#66871C2313yes—
169#66871C2313yes—
170#66867C2311yescharacteristic
171#66867C2313yes—
172#66867C2313yes—
173#66867C2313yes—
174C4×C11⋊C8C2316yes—
175#60176—111nomaximal, Sylow
176C24×C11—23no—
177C23×D11—23no—
178C11×#41—28no—
179C11×#41—26no—
180C11×#41C22×C414yes—
181C11×#41C22×C4112yescomplemented
182C11×#41#4114yes—
183C2×Q8×C11C2×D411yescharacteristic
184C2×Q8×C11C2411yescharacteristic
185C2×D4×C11—23no—
186C2×D4×C11—224no—
187C2×D4×C11—23no—
188C2×D4×C11—26no—
189C2×D4×C11C22×C4112yescomplemented
190C2×D4×C11C2×D413yes—
191C2×D4×C11C2413yes—
192C22×C4×C11—23no—
193C22×C4×C11—23no—
194C22×C4×C11—23no—
195C22×C4×C11—23no—
196C22×C4×C11—26no—
197C22×C4×C11—86no—
198C22×C4×C11C2×D413yes—
199C22×C4×C11C2×D413yes—
200C22×C4×C11C2413yes—
201C2×C22⋊D11—23no—
202C22×Dic11—23no—
203#4343—28no—
204D4×D11—224no—
205#4339—26no—
206#4339C22×C4112yescomplemented
207C2×D44—23no—
208C2×D44—26no—
209C2×D44C22×C4112yescomplemented
210C2×D44C2413yes—
211C2×C4×D11—23no—
212C2×C4×D11—23no—
213C2×C4×D11—23no—
214C2×C4×D11—26no—
215C2×C4×D11—86no—
216C2×Dic22C2411yescharacteristic
217C11×C4⋊C4—23no—
218C11×C4⋊C4—23no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4C2×D413yes—
221C11×C4⋊C4C2×D413yes—
222C11×C4⋊C4C2411yescharacteristic
223C11×C4⋊C4C2413yes—
224C11×C22⋊C4—23no—
225C11×C22⋊C4—23no—
226C11×C22⋊C4—23no—
227C11×C22⋊C4—26no—
228C11×C22⋊C4C2×D416yes—
229C42×C11—21no—
230C42×C11—23no—
231C42×C11—23no—
232C42×C11C2×D413yes—
233C42×C11C2×D413yes—
234C42×C11C2413yes—
235C42×C11C2411yescharacteristic
236C22⋊Dic11—23no—
237#4326C22×C414yescomplemented
238#4325C22×C4112yescomplemented
239#4324C22×C4112yescomplemented
240#4323C22×C4112yescomplemented
241#4323C22×C4124yescomplemented
242(C2×D11)⋊C4—23no—
243(C2×D11)⋊C4—23no—
244(C2×D11)⋊C4—26no—
245C4⋊Dic11—23no—
246C4⋊Dic11C2411yescharacteristic
247C4⋊Dic11C2413yes—
248Dic11⋊C4—21no—
249Dic11⋊C4—23no—
250C4×Dic11—21no—
251C4×Dic11—23no—
252C4×Dic11—23no—
253#4318—26no—
254#4318C22×C4112yescomplemented
255C2×C11⋊C8—26no—
256C2×C11⋊C8C22×C4112yescomplemented
257C2×C11⋊C8C2413yes—
258C2×C11⋊C8C2411yescharacteristic
259C2×C11⋊C8C2413yes—
260C2×C11⋊C8C2411yescharacteristic
261C2×#576—111no—
262C4×H(5,𝔽2)—111no—
263C4×H(5,𝔽2)D1111yescharacteristic, complemented
264#2952—113no—
265#2948—113no—
266#2946—113no—
267#2946—113no—
268C4×AGL(1,ℤ/8)—113no—
269C4×AGL(1,ℤ/8)—113no—
270#2943—113no—
271C2×#442—113no—
272#2912—111no—
273#2897—111no—
274#2897—111no—
275#2875—111no—
276C23×C11—23no—
277C23×C11—212no—
278C23×C11—83no—
279C23×C11—83no—
280C23×C11C22×D413yes—
281C22×D11—23no—
282C22×D11—212no—
283C22×D11—83no—
284C22×D11—83no—
285Q8×C11—21no—
286Q8×C11C4×D414yes—
287Q8×C11C23×C412yes—
288D4×C11—212no—
289D4×C11—212no—
290D4×C11—23no—
291D4×C11C4×D4112yes—
292D4×C11C23×C416yes—
293C2×C4×C11—21no—
294C2×C4×C11—212no—
295C2×C4×C11—21no—
296C2×C4×C11—23no—
297C2×C4×C11—43no—
298C2×C4×C11—43no—
299C2×C4×C11—46no—
300C2×C4×C11—83no—
301C2×C4×C11—86no—
302C2×C4×C11—83no—
303C2×C4×C11C23×C416yes—
304C2×C4×C11C22×D413yes—
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D413yes—
308C2×C4×C11C22×D413yes—
309C2×C4×C11C2×#4116yes—
310C2×C4×C11C2511yescharacteristic
311C22⋊D11—212no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—23no—
315C2×Dic11—83no—
316D44—212no—
317D44—23no—
318D44C23×C416yes—
319C4×D11—212no—
320C4×D11—46no—
321C4×D11—83no—
322C4×D11—86no—
323Dic22—21no—
324Dic22C23×C412yes—
325C11⋊C8—21no—
326C11⋊C8—23no—
327C11⋊C8C23×C412yes—
328C11⋊C8C23×C416yes—
329C2×H(5,𝔽2)—111no—
330C2×H(5,𝔽2)C2×D1111yescharacteristic
331#576—1116no—
332C2×AGL(1,ℤ/8)—113no—
333C2×AGL(1,ℤ/8)—113no—
334C2×#135—113no—
335C22×D8—113no—
336C2×#131—111no—
337C2×#131—111no—
338#520—21no—
339#520—111no—
340#520—113no—
341#520—221no—
342#520C2×D1111yescharacteristic
343#520C2×D1113yescomplemented
344#518—23no—
345#518—113no—
346#518—223no—
347#518C2×D1113yescomplemented
348C4×#41—21no—
349C4×#41—113no—
350C4×#41—221no—
351C4×#41C2×D1111yescharacteristic
352C4×#41C2×D1113yescomplemented
353C2×C4×D4—23no—
354C2×C4×D4—113no—
355C2×C4×D4—223no—
356C2×C4×D4C2×D1113yescomplemented
357#442—113no—
358#442—116no—
359#442—116no—
360#442—116no—
361#442—113no—
362#441—111no—
363#441—113no—
364#440—113no—
365#440—113no—
366#440—113no—
367#440—113no—
368C4×SD16—116no—
369C4×SD16—116no—
370C4×D8—116no—
371C4×D8—116no—
372#428—113no—
373#428—113no—
374#427—113no—
375C2×#106—113no—
376#418—113no—
377#418—113no—
378#417—113no—
379#417—113no—
380#416—113no—
381#416—113no—
382C2×#102—113no—
383C2×#102—113no—
384#405—113no—
385#405—113no—
386C4×M16—113no—
387C2×#97—113no—
388C22×C11—23no—
389C22×C11—23no—
390C22×C11—26no—
391C22×C11—43no—
392C22×C11—43no—
393C22×C11—812no—
394C22×C11C2×C4×D416yes—
395C22×C11C23×D411yescharacteristic
396C2×D11—26no—
397C2×D11—43no—
398C2×D11—43no—
399C2×D11—812no—
400C4×C11—21no—
401C4×C11—21no—
402C4×C11—23no—
403C4×C11—23no—
404C4×C11—22no—
405C4×C11—43no—
406C4×C11—41no—
407C4×C11C2×C4×D416yes—
408C4×C11C24×C411yescharacteristic
409C4×C11C22×#4111yescharacteristic
410Dic11—22no—
411Dic11—43no—
412Dic11—41no—
413H(5,𝔽2)—24no—
414H(5,𝔽2)—118no—
415H(5,𝔽2)—224no—
416H(5,𝔽2)C4×D1118yescomplemented
417C2×#41—21no—
418C2×#41—113no—
419C2×#41—221no—
420C2×#41C22×D1113yes—
421C2×#41C22×D1111yescharacteristic
422C22×D4—23no—
423C22×D4—113no—
424C22×D4—223no—
425C22×D4C22×D1113yes—
426C23×C4—23no—
427C23×C4—223no—
428AGL(1,ℤ/8)—1124no—
429AGL(1,ℤ/8)—1124no—
430#135—1124no—
431C2×Q16—111no—
432C2×SD16—113no—
433C2×SD16—113no—
434C2×D8—1124no—
435C2×D8—113no—
436C2×D8—116no—
437#131—118no—
438#131—224no—
439C2×M16—113no—
440C2×M16—113no—
441C22×C8—113no—
442C22×C8—113no—
443C4×Q8—21no—
444C4×Q8—111no—
445C4×Q8—113no—
446C4×Q8—221no—
447C4×Q8C22⋊D1111yescharacteristic
448C4×Q8C22⋊D1111yescharacteristic
449C4×Q8C22×D1111yescharacteristic
450C4×Q8C22×D1113yes—
451C4×D4—23no—
452C4×D4—23no—
453C4×D4—23no—
454C4×D4—23no—
455C4×D4—23no—
456C4×D4—26no—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—113no—
460C4×D4—116no—
461C4×D4—113no—
462C4×D4—223no—
463C4×D4—223no—
464C4×D4—223no—
465C4×D4—223no—
466C4×D4—223no—
467C4×D4—226no—
468C4×D4—223no—
469C4×D4—223no—
470C4×D4C22⋊D1113yes—
471C4×D4C22⋊D1113yes—
472C4×D4C22×D1113yes—
473C4×D4C22×D1116yes—
474C4×D4C22×D1113yes—
475#117—23no—
476#117—23no—
477#117—113no—
478#117—223no—
479#117—223no—
480#117C22×D1113yes—
481#117C22×D1113yes—
482C2×C4⋊C4—23no—
483C2×C4⋊C4—113no—
484C2×C4⋊C4—223no—
485C2×C4⋊C4C22×D1113yes—
486C2×C22⋊C4—23no—
487C2×C22⋊C4—26no—
488C2×C22⋊C4—223no—
489C2×C22⋊C4—226no—
490C2×C42—23no—
491C2×C42—223no—
492C2×C42C22×D1113yes—
493#107—113no—
494#107—113no—
495#106—113no—
496#106—116no—
497#106—111no—
498#103—111no—
499#103—113no—
500#103—111no—
501#103—113no—
502#102—113no—
503#102—116no—
504#102—113no—
505#102—113no—
506#102—116no—
507#102—113no—
508#97—111no—
509#97—113no—
510#97—113no—
511#97—113no—
512C4×C8—116no—
513C2×C11—26no—
514C2×C11—46no—
515C2×C11C22×C4×D411yescharacteristic
516C2×C11#358511yescharacteristic
517C2×C11#358511yescharacteristic
518D11—46no—
519C24—23no—
520C24—223no—
521#41—28no—
522#41—26no—
523#41—1112no—
524#41—228no—
525#41—226no—
526#41C2×C4×D1114yes—
527#41C2×C4×D11112yescomplemented
528#41#433914yes—
529C2×Q8—111no—
530C2×Q8C2×C22⋊D1111yescharacteristic
531C2×Q8C23×D1111yescharacteristic
532C2×D4—23no—
533C2×D4—224no—
534C2×D4—26no—
535C2×D4—23no—
536C2×D4—1112no—
537C2×D4—113no—
538C2×D4—223no—
539C2×D4—2224no—
540C2×D4—226no—
541C2×D4—223no—
542C2×D4C2×C4×D11112yescomplemented
543C2×D4C2×C22⋊D1113yes—
544C2×D4C23×D1113yes—
545C22×C4—23no—
546C22×C4—23no—
547C22×C4—23no—
548C22×C4—23no—
549C22×C4—26no—
550C22×C4—86no—
551C22×C4—223no—
552C22×C4—223no—
553C22×C4—223no—
554C22×C4—223no—
555C22×C4—226no—
556C22×C4—886no—
557C22×C4C2×C22⋊D1113yes—
558C22×C4C2×C22⋊D1113yes—
559C22×C4C23×D1113yes—
560Q16—114no—
561SD16—1112no—
562SD16—1112no—
563D8—1112no—
564D8—1124no—
565M16—1112no—
566M16—226no—
567C2×C8—1112no—
568C2×C8—113no—
569C2×C8—111no—
570C2×C8—113no—
571C2×C8—111no—
572C2×C8—226no—
573C4⋊C4—23no—
574C4⋊C4—23no—
575C4⋊C4—21no—
576C4⋊C4—113no—
577C4⋊C4—111no—
578C4⋊C4—223no—
579C4⋊C4—223no—
580C4⋊C4—221no—
581C4⋊C4C2×C22⋊D1113yes—
582C4⋊C4C2×C22⋊D1113yes—
583C4⋊C4C23×D1113yes—
584C4⋊C4C23×D1111yescharacteristic
585C22⋊C4—23no—
586C22⋊C4—23no—
587C22⋊C4—26no—
588C22⋊C4—23no—
589C22⋊C4—223no—
590C22⋊C4—223no—
591C22⋊C4—223no—
592C22⋊C4—226no—
593C22⋊C4C2×C22⋊D1116yes—
594C42—21no—
595C42—23no—
596C42—23no—
597C42—221no—
598C42—223no—
599C42—223no—
600C42C2×C22⋊D1113yes—
601C42C2×C22⋊D1113yes—
602C42C23×D1113yes—
603C42C23×D1111yescharacteristic
604C11#6017611yescharacteristic, complemented, Sylow
605C23—23no—
606C23—212no—
607C23—83no—
608C23—83no—
609C23—223no—
610C23—2212no—
611C23—883no—
612C23—883no—
613C23C22×C22⋊D1113yes—
614Q8—21no—
615Q8—112no—
616Q8—221no—
617Q8C4×C22⋊D1114yes—
618Q8C22×C4×D1112yes—
619D4—212no—
620D4—212no—
621D4—23no—
622D4—116no—
623D4—2212no—
624D4—2212no—
625D4—223no—
626D4C4×C22⋊D11112yes—
627D4C22×C4×D1116yes—
628C2×C4—21no—
629C2×C4—212no—
630C2×C4—21no—
631C2×C4—23no—
632C2×C4—43no—
633C2×C4—43no—
634C2×C4—46no—
635C2×C4—83no—
636C2×C4—86no—
637C2×C4—83no—
638C2×C4—221no—
639C2×C4—2212no—
640C2×C4—221no—
641C2×C4—223no—
642C2×C4—446no—
643C2×C4—886no—
644C2×C4—883no—
645C2×C4—883no—
646C2×C4C22×C4×D1116yes—
647C2×C4C2×#433916yes—
648C2×C4C22×C22⋊D1111yescharacteristic
649C2×C4C22×C22⋊D1113yes—
650C2×C4C22×C22⋊D1111yescharacteristic
651C2×C4C22×C22⋊D1113yes—
652C2×C4C22×C22⋊D1113yes—
653C2×C4C24×D1111yescharacteristic
654C8—112no—
655C8—116no—
656C8—221no—
657C8—223no—
658C22—23no—
659C22—23no—
660C22—26no—
661C22—43no—
662C22—43no—
663C22—812no—
664C22—226no—
665C22—443no—
666C22—443no—
667C22—8812no—
668C22C2×C4×C22⋊D1116yes—
669C22C23×C22⋊D1111yescharacteristic
670C4—21no—
671C4—23no—
672C4—21no—
673C4—23no—
674C4—22no—
675C4—41no—
676C4—43no—
677C4—222no—
678C4—443no—
679C4—441no—
680C4C2×C4×C22⋊D1116yes—
681C4C23×C4×D1111yescharacteristic
682C4C22×#433911yescharacteristic
683C2—26no—
684C2—46no—
685C2—446no—
686C2C22×C4×C22⋊D1111yescharacteristic
687C2#1308339511yescharacteristic
688C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC4×C11×H(5,𝔽2)C2
socleC22×C11C23×D4
prime radicalC2×#10623366C2
cosocleC2×C4×C11C25
hypercenterC4×H(5,𝔽2)D11
hypocenterC11#60176
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×#41 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
2. C4×#67042C2semidirect
3. #13077497C2semidirect
4. #13077466C2semidirect
5. #13077448C2semidirect
6. #13077444C2semidirect
7. C4×#66985C2semidirect
8. C4×#67002C2semidirect
9. #13077414C2semidirect
10. C2×#10622627C2semidirect
11. #13077209C2semidirect
12. #13077142C2semidirect
13. #13077139C2semidirect
14. #13077044C2semidirect
15. C4×C11×H(5,𝔽2)C2semidirect
20. C11×#520C22semidirect
22. C11×#518C22semidirect
25. C4×C11×#41C22semidirect
27. C2×C4×D4×C11C22semidirect
28. #10623366C4semidirect
40. #10623054C22semidirect
41. #10623052C22semidirect
42. C4×#4339C22semidirect
43. C2×C4×D44C22semidirect
44. #10622846C22semidirect
45. #10622845C22semidirect
46. #10622828C22semidirect
47. C2×#66896C22semidirect
48. #10622643C22semidirect
49. #10622643C22semidirect
50. #10622639C22semidirect
51. #10622639C22semidirect
52. C4×#4325C22semidirect
53. #10622631C22semidirect
54. #10622631C22semidirect
55. C4×#4324C22semidirect
56. #10622627C22semidirect
57. #10622627C22semidirect
58. #10622627C22semidirect
59. #10622627C22semidirect
60. #10622627C22semidirect
61. C4×#4323C22semidirect
62. C4×#4323C22semidirect
63. #10622615C22semidirect
64. #10622614C22semidirect
65. #10622611C22semidirect
66. #10622610C22semidirect
67. #10622610C22semidirect
68. #10622608C22semidirect
69. #10622579C22semidirect
70. C2×#66873C22semidirect
71. #10622577C22semidirect
72. C2×#66872C22semidirect
73. C4×#4318C22semidirect
74. C2×#66867C22semidirect
76. C11×H(5,𝔽2)C2×C4semidirect
84. #67042C2×C4semidirect
118. #67003C2×C4semidirect
119. #67002C2×C4semidirect
121. #67001C2×C4semidirect
127. #66985C2×C4semidirect
128. C2×#4323C2×C4semidirect
181. C11×#41C22×C4semidirect
189. C2×D4×C11C22×C4semidirect
206. #4339C22×C4semidirect
209. C2×D44C22×C4semidirect
237. #4326C22×C4semidirect
238. #4325C22×C4semidirect
239. #4324C22×C4semidirect
240. #4323C22×C4semidirect
241. #4323C22×C4semidirect
254. #4318C22×C4semidirect
256. C2×C11⋊C8C22×C4semidirect
263. C4×H(5,𝔽2)D11semidirect
343. #520C2×D11semidirect
347. #518C2×D11semidirect
352. C4×#41C2×D11semidirect
356. C2×C4×D4C2×D11semidirect
416. H(5,𝔽2)C4×D11semidirect
527. #41C2×C4×D11semidirect
542. C2×D4C2×C4×D11semidirect
604. C11#60176semidirect

Maximal subgroups

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

subgroupindex
C2×#106233662
C4×#670422
#130774972
#130774662
#130774482
#130774442
C4×#669852
C4×#670022
#130774142
C2×#106226272
#130772092
#130771422
#130771392
#130770442
C4×C11×H(5,𝔽2)2
#6017611