Finite Group Databasebeta

← #15618028

Subgroups — #15618028

Order 2816.

2734 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
1C2×#10623368C211yesmaximal, characteristic
2C4×#67042C211yesmaximal, characteristic, complemented
3#13077489C213yesmaximal, complemented
4#13077475C213yesmaximal, complemented
5#13077459C213yesmaximal, complemented
6#13077444C213yesmaximal, complemented
7C4×#66995C213yesmaximal, complemented
8C4×#67002C213yesmaximal, complemented
9#13077414C213yesmaximal, complemented
10C2×#10622639C213yesmaximal, complemented
11#13077214C211yesmaximal, characteristic, complemented
12#13077149C211yesmaximal, characteristic, complemented
13#13077139C211yesmaximal, characteristic, complemented
14#13077044C211yesmaximal, characteristic, complemented
15C4×C11×2−1+4C211yesmaximal, characteristic, complemented
16C2×C11×2−1+4C2211yescharacteristic
17C2×#67042C2211yescharacteristic
18C11×#520—23no—
19C11×#520C2211yescharacteristic
20C11×#520C2213yescomplemented
21C11×#519—21no—
22C11×#519C2213yescomplemented
23C4×C11×#41—23no—
24C4×C11×#41C2211yescharacteristic
25C4×C11×#41C2213yescomplemented
26C2×C4×Q8×C11—21no—
27C2×C4×Q8×C11C2213yescomplemented
28#10623368C4116yescomplemented
29#10623358C2211yescharacteristic
30C2×#67003C2213yes—
31C2×#67002C2213yes—
32C2×#67001C2211yescharacteristic
33C2×#67001C2211yescharacteristic
34C2×#66995C2213yes—
35C22×#4325C2213yes—
36#10623105—21no—
37C4×#4343—21no—
38#10623076—23no—
39C4×D4×D11—23no—
40#10623054C2213yes—
41#10623052C2213yes—
42C4×#4339C2213yes—
43C2×C4×D44C2213yes—
44#10622846C2213yescomplemented
45#10622845C2213yescomplemented
46#10622838C2213yescomplemented
47C2×#66899C2213yescomplemented
48#10622643C2213yescomplemented
49#10622643C2213yescomplemented
50C4×#4326C2216yescomplemented
51#10622639C2213yescomplemented
52#10622639C2216yescomplemented
53#10622639C2216yescomplemented
54#10622639C2216yescomplemented
55#10622639C2213yescomplemented
56C4×#4325C2216yescomplemented
57C4×#4325C2216yescomplemented
58#10622631C2211yescharacteristic, complemented
59#10622631C2213yescomplemented
60#10622627C2213yescomplemented
61#10622627C2213yescomplemented
62C4×#4323C2216yescomplemented
63#10622615C2213yes—
64#10622614C2213yes—
65#10622611C2213yescomplemented
66#10622610C2213yescomplemented
67#10622610C2213yescomplemented
68#10622608C2213yescomplemented
69#10622579C2213yes—
70C2×#66873C2213yes—
71#10622577C2213yescomplemented
72C2×#66871C2213yescomplemented
73C4×#4318C2213yescomplemented
74C2×#66867C2213yescomplemented
75C11×2−1+4—24no—
76C11×2−1+4C2×C418yescomplemented
77C2×C11×#41—23no—
78C2×C11×#41C2313yes—
79C2×C11×#41C2311yescharacteristic
80C22×Q8×C11—21no—
81C22×Q8×C11C2313yes—
82#67042—24no—
83#67042C2×C418yescomplemented
84C2×#4343—21no—
85C2×D4×D11—23no—
86C2×#4339C2313yes—
87C22×D44C2313yes—
88C22×C4×D11—23no—
89C4×Q8×C11—21no—
90C4×Q8×C11—23no—
91C4×Q8×C11—23no—
92C4×Q8×C11—23no—
93C4×Q8×C11—23no—
94C4×Q8×C11D411yescharacteristic
95C4×Q8×C11D411yescharacteristic
96C4×Q8×C11C2313yes—
97C4×Q8×C11C2316yes—
98C4×Q8×C11C2313yes—
99C4×D4×C11—23no—
100C4×D4×C11—23no—
101C4×D4×C11—23no—
102C4×D4×C11—26no—
103C4×D4×C11D413yes—
104C4×D4×C11D413yes—
105C4×D4×C11C2311yescharacteristic
106C4×D4×C11C2313yes—
107C11×#117—23no—
108C11×#117—26no—
109C11×#117—23no—
110C11×#117C2313yes—
111C11×#117C2313yes—
112C2×C11×C4⋊C4—23no—
113C2×C11×C4⋊C4—23no—
114C2×C11×C4⋊C4C2313yes—
115C2×C42×C11—23no—
116C2×C42×C11—23no—
117C2×C42×C11C2313yes—
118#67003C2×C4124yescomplemented
119#67002C2×C4124yescomplemented
120#67001—24no—
121#67001C2×C418yescomplemented
122Q8×Dic11—21no—
123C2×#4326C2313yes—
124#66995C2×C4124yescomplemented
125C2×#4325C2×C4124yescomplemented
126C2×#4325C2313yes—
127C2×#4325C2316yes—
128D4×Dic11—23no—
129C2×#4324C2311yescharacteristic
130C2×#4323C2313yes—
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#66899C2316yes—
157#66899C2313yes—
158#66896C2313yes—
159#66896C2311yescharacteristic
160#66874C2313yes—
161#66874C2311yescharacteristic
162#66873C2313yes—
163#66873C2316yes—
164#66873C2313yes—
165#66872C2313yes—
166#66872C2313yes—
167#66871C2313yes—
168#66871C2316yes—
169#66871C2311yescharacteristic
170#66867C2311yescharacteristic
171#66867C2313yes—
172#66867C2313yes—
173#66867C2313yes—
174C4×C11⋊C8C2316yes—
175#60174—111nomaximal, Sylow
176C23×D11—23no—
177C11×#41—224no—
178C11×#41—26no—
179C11×#41C22×C414yes—
180C11×#41C22×C4112yescomplemented
181C11×#41#4114yes—
182C2×Q8×C11—28no—
183C2×Q8×C11—23no—
184C2×Q8×C11—26no—
185C2×Q8×C11C22×C4112yescomplemented
186C2×Q8×C11C2×D411yescharacteristic
187C2×Q8×C11C2413yes—
188C2×D4×C11—23no—
189C2×D4×C11C2×D413yes—
190C2×D4×C11C2411yescharacteristic
191C22×C4×C11—23no—
192C22×C4×C11—23no—
193C22×C4×C11—23no—
194C22×C4×C11—21no—
195C22×C4×C11—23no—
196C22×C4×C11C2×D413yes—
197C22×C4×C11C2×D413yes—
198C22×C4×C11C2413yes—
199C2×C22⋊D11—23no—
200C22×Dic11—23no—
201#4343—28no—
202D4×D11—224no—
203#4339—26no—
204#4339C22×C4112yes—
205C2×D44—23no—
206C2×D44—26no—
207C2×D44C22×C4112yes—
208C2×D44C2413yes—
209C2×C4×D11—23no—
210C2×C4×D11—23no—
211C2×C4×D11—23no—
212C2×C4×D11—26no—
213C2×C4×D11—86no—
214C2×Dic22C2411yescharacteristic
215C11×C4⋊C4—23no—
216C11×C4⋊C4—26no—
217C11×C4⋊C4—23no—
218C11×C4⋊C4—23no—
219C11×C4⋊C4C2×D413yes—
220C11×C4⋊C4C2×D413yes—
221C11×C4⋊C4C2413yes—
222C11×C4⋊C4C2411yescharacteristic
223C11×C22⋊C4—23no—
224C11×C22⋊C4—21no—
225C11×C22⋊C4—23no—
226C11×C22⋊C4C2×D416yes—
227C42×C11—23no—
228C42×C11—23no—
229C42×C11—26no—
230C42×C11—23no—
231C42×C11C2×D413yes—
232C42×C11C2×D413yes—
233C42×C11C2413yes—
234C42×C11C2411yescharacteristic
235C22⋊Dic11—23no—
236#4326C22×C4112yescomplemented
237#4325C22×C4112yescomplemented
238#4325C22×C4124yescomplemented
239#4324C22×C414yescomplemented
240#4323C22×C4112yescomplemented
241(C2×D11)⋊C4—23no—
242(C2×D11)⋊C4—23no—
243(C2×D11)⋊C4—26no—
244C4⋊Dic11—23no—
245C4⋊Dic11C2413yes—
246C4⋊Dic11C2411yescharacteristic
247Dic11⋊C4—21no—
248Dic11⋊C4—23no—
249C4×Dic11—21no—
250C4×Dic11—23no—
251C4×Dic11—23no—
252#4318—26no—
253#4318C22×C4112yescomplemented
254C2×C11⋊C8—26no—
255C2×C11⋊C8C22×C4112yescomplemented
256C2×C11⋊C8C2413yes—
257C2×C11⋊C8C2411yescharacteristic
258C2×C11⋊C8C2413yes—
259C2×C11⋊C8C2411yescharacteristic
260C2×#577—111no—
261C4×2−1+4D1111yescharacteristic, complemented
262C4×H(5,𝔽2)—111no—
263#2951—113no—
264#2949—113no—
265#2947—113no—
266#2946—113no—
267C4×#137—113no—
268C4×AGL(1,ℤ/8)—113no—
269#2943—113no—
270C2×#440—113no—
271#2913—111no—
272#2898—111no—
273#2897—111no—
274#2875—111no—
275C23×C11—21no—
276C23×C11C22×D413yes—
277C22×D11—23no—
278C22×D11—212no—
279C22×D11—83no—
280C22×D11—83no—
281Q8×C11—212no—
282Q8×C11—23no—
283Q8×C11C4×D414yes—
284Q8×C11C23×C416yes—
285D4×C11—212no—
286D4×C11—21no—
287D4×C11C4×D4112yes—
288D4×C11C23×C412yes—
289C2×C4×C11—212no—
290C2×C4×C11—23no—
291C2×C4×C11—212no—
292C2×C4×C11—21no—
293C2×C4×C11—23no—
294C2×C4×C11—43no—
295C2×C4×C11—43no—
296C2×C4×C11—42no—
297C2×C4×C11—83no—
298C2×C4×C11—83no—
299C2×C4×C11C23×C416yes—
300C2×C4×C11C22×D413yes—
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C22×D413yes—
304C2×C4×C11C22×D413yes—
305C2×C4×C11C2×#4116yes—
306C2×C4×C11C2511yescharacteristic
307C22⋊D11—212no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—23no—
311C2×Dic11—83no—
312D44—212no—
313D44—23no—
314D44C23×C416yes—
315C4×D11—212no—
316C4×D11—46no—
317C4×D11—83no—
318C4×D11—86no—
319Dic22—21no—
320Dic22C23×C412yes—
321C11⋊C8—21no—
322C11⋊C8—23no—
323C11⋊C8C23×C412yes—
324C11⋊C8C23×C416yes—
325C2×2−1+4C2×D1111yescharacteristic
326C2×H(5,𝔽2)—111no—
327#577—1116no—
328C2×#137—113no—
329C2×AGL(1,ℤ/8)—113no—
330C2×#135—113no—
331C22×SD16—113no—
332C2×#131—111no—
333C2×#131—111no—
334#520—23no—
335#520—111no—
336#520—113no—
337#520—221no—
338#520C2×D1111yescharacteristic
339#520C2×D1113yescomplemented
340#519—21no—
341#519C2×D1113yescomplemented
342#518—113no—
343#518—223no—
344C4×#41—23no—
345C4×#41—113no—
346C4×#41—221no—
347C4×#41C2×D1111yescharacteristic
348C4×#41C2×D1113yescomplemented
349C2×C4×Q8—21no—
350C2×C4×Q8C2×D1113yescomplemented
351C2×C4×D4—113no—
352C2×C4×D4—223no—
353#442—113no—
354#442—113no—
355#441—113no—
356#441—113no—
357#440—113no—
358#440—116no—
359#440—116no—
360#440—116no—
361#440—113no—
362#440—111no—
363#440—113no—
364C4×Q16—116no—
365C4×SD16—116no—
366C4×SD16—116no—
367C4×D8—116no—
368#428—113no—
369#428—113no—
370#427—113no—
371C2×#107—113no—
372#419—113no—
373#418—113no—
374#417—113no—
375#417—113no—
376#416—113no—
377#416—113no—
378C2×#103—113no—
379C2×#102—113no—
380#405—113no—
381#405—113no—
382C4×M16—113no—
383C2×#97—113no—
384C22×C11—23no—
385C22×C11—23no—
386C22×C11—22no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11C2×C4×D416yes—
390C22×C11C23×D411yescharacteristic
391C2×D11—26no—
392C2×D11—43no—
393C2×D11—43no—
394C2×D11—812no—
395C4×C11—21no—
396C4×C11—23no—
397C4×C11—21no—
398C4×C11—23no—
399C4×C11—26no—
400C4×C11—43no—
401C4×C11—41no—
402C4×C11C2×C4×D416yes—
403C4×C11C24×C411yescharacteristic
404C4×C11C22×#4111yescharacteristic
405Dic11—22no—
406Dic11—43no—
407Dic11—41no—
4082−1+4—24no—
4092−1+4C4×D1118yescomplemented
410H(5,𝔽2)—118no—
411H(5,𝔽2)—224no—
412C2×#41—23no—
413C2×#41—113no—
414C2×#41—221no—
415C2×#41C22×D1113yes—
416C2×#41C22×D1111yescharacteristic
417C22×Q8—21no—
418C22×Q8C22×D1113yes—
419C22×D4—113no—
420C22×D4—223no—
421C23×C4—223no—
422#137—1124no—
423AGL(1,ℤ/8)—1124no—
424#135—1124no—
425C2×Q16—113no—
426C2×SD16—1124no—
427C2×SD16—113no—
428C2×SD16—116no—
429C2×SD16—111no—
430C2×D8—113no—
431#131—118no—
432#131—224no—
433C2×M16—113no—
434C2×M16—113no—
435C22×C8—113no—
436C22×C8—113no—
437C4×Q8—21no—
438C4×Q8—23no—
439C4×Q8—23no—
440C4×Q8—23no—
441C4×Q8—23no—
442C4×Q8—111no—
443C4×Q8—113no—
444C4×Q8—221no—
445C4×Q8C22⋊D1111yescharacteristic
446C4×Q8C22⋊D1111yescharacteristic
447C4×Q8C22×D1113yes—
448C4×Q8C22×D1116yes—
449C4×Q8C22×D1113yes—
450C4×D4—23no—
451C4×D4—23no—
452C4×D4—23no—
453C4×D4—26no—
454C4×D4—113no—
455C4×D4—116no—
456C4×D4—113no—
457C4×D4—223no—
458C4×D4—223no—
459C4×D4—223no—
460C4×D4—223no—
461C4×D4—223no—
462C4×D4—226no—
463C4×D4—223no—
464C4×D4—223no—
465C4×D4C22⋊D1113yes—
466C4×D4C22⋊D1113yes—
467C4×D4C22×D1111yescharacteristic
468C4×D4C22×D1113yes—
469#117—23no—
470#117—26no—
471#117—23no—
472#117—113no—
473#117—223no—
474#117—223no—
475#117C22×D1113yes—
476#117C22×D1113yes—
477C2×C4⋊C4—23no—
478C2×C4⋊C4—23no—
479C2×C4⋊C4—113no—
480C2×C4⋊C4—223no—
481C2×C4⋊C4C22×D1113yes—
482C2×C22⋊C4—223no—
483C2×C22⋊C4—226no—
484C2×C42—23no—
485C2×C42—23no—
486C2×C42—223no—
487C2×C42C22×D1113yes—
488#107—113no—
489#107—116no—
490#107—111no—
491#106—113no—
492#106—113no—
493#103—113no—
494#103—116no—
495#103—113no—
496#103—111no—
497#103—113no—
498#102—111no—
499#102—113no—
500#102—113no—
501#102—116no—
502#102—113no—
503#97—111no—
504#97—113no—
505#97—113no—
506#97—113no—
507C4×C8—116no—
508C2×C11—26no—
509C2×C11—42no—
510C2×C11C22×C4×D411yescharacteristic
511C2×C11#358511yescharacteristic
512C2×C11#358611yescharacteristic
513D11—46no—
514C24—223no—
515#41—224no—
516#41—26no—
517#41—1112no—
518#41—228no—
519#41—226no—
520#41C2×C4×D1114yes—
521#41C2×C4×D11112yescomplemented
522#41#433914yes—
523C2×Q8—28no—
524C2×Q8—26no—
525C2×Q8—23no—
526C2×Q8—111no—
527C2×Q8C2×C4×D11112yescomplemented
528C2×Q8C2×C22⋊D1111yescharacteristic
529C2×Q8C23×D1113yes—
530C2×D4—23no—
531C2×D4—1112no—
532C2×D4—113no—
533C2×D4—223no—
534C2×D4—2224no—
535C2×D4—226no—
536C2×D4—223no—
537C2×D4C2×C22⋊D1113yes—
538C2×D4C23×D1111yescharacteristic
539C22×C4—23no—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—21no—
543C22×C4—23no—
544C22×C4—223no—
545C22×C4—223no—
546C22×C4—223no—
547C22×C4—223no—
548C22×C4—226no—
549C22×C4—886no—
550C22×C4C2×C22⋊D1113yes—
551C22×C4C2×C22⋊D1113yes—
552C22×C4C23×D1113yes—
553Q16—1112no—
554SD16—1112no—
555SD16—1124no—
556SD16—114no—
557D8—1112no—
558M16—1112no—
559M16—226no—
560C2×C8—1112no—
561C2×C8—113no—
562C2×C8—111no—
563C2×C8—113no—
564C2×C8—111no—
565C2×C8—226no—
566C4⋊C4—26no—
567C4⋊C4—23no—
568C4⋊C4—23no—
569C4⋊C4—23no—
570C4⋊C4—111no—
571C4⋊C4—113no—
572C4⋊C4—223no—
573C4⋊C4—223no—
574C4⋊C4—221no—
575C4⋊C4C2×C22⋊D1113yes—
576C4⋊C4C2×C22⋊D1113yes—
577C4⋊C4C23×D1111yescharacteristic
578C4⋊C4C23×D1113yes—
579C22⋊C4—23no—
580C22⋊C4—21no—
581C22⋊C4—23no—
582C22⋊C4—223no—
583C22⋊C4—223no—
584C22⋊C4—223no—
585C22⋊C4—226no—
586C22⋊C4C2×C22⋊D1116yes—
587C42—23no—
588C42—23no—
589C42—26no—
590C42—23no—
591C42—221no—
592C42—223no—
593C42—223no—
594C42C2×C22⋊D1113yes—
595C42C2×C22⋊D1113yes—
596C42C23×D1113yes—
597C42C23×D1111yescharacteristic
598C11#6017411yescharacteristic, complemented, Sylow
599C23—21no—
600C23—223no—
601C23—2212no—
602C23—883no—
603C23—883no—
604C23C22×C22⋊D1113yes—
605Q8—212no—
606Q8—23no—
607Q8—112no—
608Q8—221no—
609Q8C4×C22⋊D1114yes—
610Q8C22×C4×D1116yes—
611D4—212no—
612D4—21no—
613D4—116no—
614D4—2212no—
615D4—2212no—
616D4—223no—
617D4C4×C22⋊D11112yes—
618D4C22×C4×D1112yes—
619C2×C4—212no—
620C2×C4—23no—
621C2×C4—212no—
622C2×C4—21no—
623C2×C4—23no—
624C2×C4—43no—
625C2×C4—43no—
626C2×C4—42no—
627C2×C4—83no—
628C2×C4—83no—
629C2×C4—221no—
630C2×C4—2212no—
631C2×C4—221no—
632C2×C4—223no—
633C2×C4—446no—
634C2×C4—886no—
635C2×C4—883no—
636C2×C4—883no—
637C2×C4C22×C4×D1116yes—
638C2×C4C2×#433916yes—
639C2×C4C22×C22⋊D1111yescharacteristic
640C2×C4C22×C22⋊D1113yes—
641C2×C4C22×C22⋊D1113yes—
642C2×C4C22×C22⋊D1111yescharacteristic
643C2×C4C22×C22⋊D1113yes—
644C2×C4C24×D1111yescharacteristic
645C8—112no—
646C8—116no—
647C8—221no—
648C8—223no—
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—226no—
655C22—443no—
656C22—443no—
657C22—8812no—
658C22C2×C4×C22⋊D1116yes—
659C22C23×C22⋊D1111yescharacteristic
660C4—21no—
661C4—23no—
662C4—21no—
663C4—23no—
664C4—26no—
665C4—43no—
666C4—41no—
667C4—222no—
668C4—443no—
669C4—441no—
670C4C2×C4×C22⋊D1116yes—
671C4C23×C4×D1111yescharacteristic
672C4C22×#433911yescharacteristic
673C2—26no—
674C2—42no—
675C2—446no—
676C2C22×C4×C22⋊D1111yescharacteristic
677C2#1308339511yescharacteristic
678C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC4×C11×2−1+4C2
socleC22×C11C23×D4
prime radicalC2×#10623368C2
cosocleC2×C4×C11C25
hypercenterC4×2−1+4D11
hypocenterC11#60174
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×#41 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
2. C4×#67042C2semidirect
3. #13077489C2semidirect
4. #13077475C2semidirect
5. #13077459C2semidirect
6. #13077444C2semidirect
7. C4×#66995C2semidirect
8. C4×#67002C2semidirect
9. #13077414C2semidirect
10. C2×#10622639C2semidirect
11. #13077214C2semidirect
12. #13077149C2semidirect
13. #13077139C2semidirect
14. #13077044C2semidirect
15. C4×C11×2−1+4C2semidirect
20. C11×#520C22semidirect
22. C11×#519C22semidirect
25. C4×C11×#41C22semidirect
27. C2×C4×Q8×C11C22semidirect
28. #10623368C4semidirect
44. #10622846C22semidirect
45. #10622845C22semidirect
46. #10622838C22semidirect
47. C2×#66899C22semidirect
48. #10622643C22semidirect
49. #10622643C22semidirect
50. C4×#4326C22semidirect
51. #10622639C22semidirect
52. #10622639C22semidirect
53. #10622639C22semidirect
54. #10622639C22semidirect
55. #10622639C22semidirect
56. C4×#4325C22semidirect
57. C4×#4325C22semidirect
58. #10622631C22semidirect
59. #10622631C22semidirect
60. #10622627C22semidirect
61. #10622627C22semidirect
62. C4×#4323C22semidirect
65. #10622611C22semidirect
66. #10622610C22semidirect
67. #10622610C22semidirect
68. #10622608C22semidirect
71. #10622577C22semidirect
72. C2×#66871C22semidirect
73. C4×#4318C22semidirect
74. C2×#66867C22semidirect
76. C11×2−1+4C2×C4semidirect
83. #67042C2×C4semidirect
118. #67003C2×C4semidirect
119. #67002C2×C4semidirect
121. #67001C2×C4semidirect
124. #66995C2×C4semidirect
125. C2×#4325C2×C4semidirect
180. C11×#41C22×C4semidirect
185. C2×Q8×C11C22×C4semidirect
236. #4326C22×C4semidirect
237. #4325C22×C4semidirect
238. #4325C22×C4semidirect
239. #4324C22×C4semidirect
240. #4323C22×C4semidirect
253. #4318C22×C4semidirect
255. C2×C11⋊C8C22×C4semidirect
261. C4×2−1+4D11semidirect
339. #520C2×D11semidirect
341. #519C2×D11semidirect
348. C4×#41C2×D11semidirect
350. C2×C4×Q8C2×D11semidirect
409. 2−1+4C4×D11semidirect
521. #41C2×C4×D11semidirect
527. C2×Q8C2×C4×D11semidirect
598. C11#60174semidirect

Maximal subgroups

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

subgroupindex
C2×#106233682
C4×#670422
#130774892
#130774752
#130774592
#130774442
C4×#669952
C4×#670022
#130774142
C2×#106226392
#130772142
#130771492
#130771392
#130770442
C4×C11×2−1+42
#6017411