Finite Group Databasebeta

← #14774620

Subgroups — #14774620

Order 2816.

1016 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622855C211yesmaximal, characteristic
2#13077462C211yesmaximal, characteristic, complemented
3#13077455C211yesmaximal, characteristic, complemented
4#13077142C211yesmaximal, characteristic
5#13069426C211yesmaximal, characteristic, complemented
6#13069281C211yesmaximal, characteristic, complemented
7#13069275C211yesmaximal, characteristic, complemented
8#13069131C211yesmaximal, characteristic, complemented
9#13069129C211yesmaximal, characteristic, complemented
10#13069016C211yesmaximal, characteristic, complemented
11#13068849C211yesmaximal, characteristic, complemented
12#13068847C211yesmaximal, characteristic, complemented
13#13068456C211yesmaximal, characteristic, complemented
14#13068451C211yesmaximal, characteristic, complemented
15C11×#2897C211yesmaximal, characteristic
16C2×C11×H(5,𝔽2)C2211yescharacteristic
17C2×C11×#131C2211yescharacteristic
18C11×#520C2211yescharacteristic
19#10623358C2211yescharacteristic
20C2×#67004C2211yescharacteristic
21C2×#67004C2211yescharacteristic
22C2×#67001C2211yescharacteristic
23C2×#66989C2211yescharacteristic
24#10623047C2211yescharacteristic, complemented
25C11×#418—21no—
26C11×#418C2211yescharacteristic
27C11×#417—21no—
28C11×#417C2211yescharacteristic
29C11×#416—21no—
30C11×#416C2211yescharacteristic
31C2×C11×#102—21no—
32C2×C11×#102C2211yescharacteristic
33#10622855C418yescomplemented
34C2×#66901C2211yescharacteristic
35C2×#66901C2211yescharacteristic
36#10622846—21no—
37#10622846C2211yescharacteristic
38#10622845—21no—
39#10622845C2211yescharacteristic
40C2×#66897C2211yescharacteristic
41#10622828—21no—
42#10622828C2211yescharacteristic
43C2×#66896—21no—
44C2×#66896C2211yescharacteristic
45C2×#66888C2211yescharacteristic, complemented
46C2×#66880C2211yescharacteristic, complemented
47#10622714C2211yescharacteristic, complemented
48C2×C8×Dic11C2211yescharacteristic, complemented
49#10622643—21no—
50C4×#4326—21no—
51#10622631—21no—
52C4×#4324—21no—
53#10622610C2211yescharacteristic, complemented
54#10622608C2211yescharacteristic, complemented
55#10622590C2211yescharacteristic, complemented
56C2×#66874C2211yescharacteristic, complemented
57#10622577C2211yescharacteristic, complemented
58#10622403—21no—
59#10622402—21no—
60#10622371—21no—
61#10622370—21no—
62#10622196C2211yescharacteristic, complemented
63#10622193C2211yescharacteristic, complemented
64#10622192C2211yescharacteristic, complemented
65#10622190C2211yescharacteristic, complemented
66#10622170C2211yescharacteristic, complemented
67#10622168C2211yescharacteristic, complemented
68C11×H(5,𝔽2)—22no—
69C11×H(5,𝔽2)—22no—
70C11×H(5,𝔽2)—41no—
71C11×H(5,𝔽2)C2×C414yes—
72C2×C11×#41—21no—
73C2×C11×#41—21no—
74C2×C11×#41C2311yescharacteristic
75C2×C11×#41C2311yescharacteristic
76C22×D4×C11—21no—
77C22×D4×C11—21no—
78C22×D4×C11—41no—
79C22×D4×C11C2311yescharacteristic
80C22×Dic22C2311yescharacteristic
81C11×#131—22no—
82C11×#131—41no—
83C2×C11×M16—21no—
84C2×C11×M16C2311yescharacteristic
85C22×C8×C11—21no—
86C22×C8×C11C2311yescharacteristic
87C4×Q8×C11—21no—
88C4×D4×C11—21no—
89C4×D4×C11—41no—
90C11×#117—21no—
91C11×#117C2311yescharacteristic
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C22⋊Dic11—41no—
95#67004—22no—
96#67004—22no—
97#67004C2×C414yescomplemented
98#67004C2×C414yescomplemented
99#67001—22no—
100#67001—41no—
101Q8×Dic11—21no—
102C2×#4326—21no—
103C2×#4326—21no—
104#66989—41no—
105#66989C2×C414yescomplemented
106D4×Dic11—21no—
107D4×Dic11—41no—
108C2×#4324—21no—
109C2×#4324—21no—
110#66979—21no—
111#66979C2311yescharacteristic
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4×Dic11C2311yescharacteristic
115C2×#4318—21no—
116C2×#4318C2311yescharacteristic
117C2×#4318C2311yescharacteristic
118C2×#4318C2311yescharacteristic
119C22×C11⋊C8—21no—
120C22×C11⋊C8C2311yescharacteristic
121#66940—21no—
122#66940—21no—
123#66930—41no—
124C4×Dic22—21no—
125C4×Dic22—21no—
126C11×#103—21no—
127C11×#103D411yescharacteristic
128C11×#103D411yescharacteristic
129C11×#102—21no—
130C11×#102—21no—
131C11×#102—21no—
132C11×#102—21no—
133C11×#102—21no—
134C11×#102D411yescharacteristic
135C11×#102D411yescharacteristic
136#66901C2×C414yescomplemented
137#66901C2×C414yescomplemented
138#66899—21no—
139#66899D411yescharacteristic
140#66899D411yescharacteristic
141#66897C2×C414yescomplemented
142#66896—21no—
143#66896—21no—
144#66896—21no—
145#66896—21no—
146#66896—21no—
147#66896D411yescharacteristic
148#66896D411yescharacteristic
149C11⋊#95—41no—
150#66888—41no—
151#66880—21no—
152#66880—21no—
153#66879—21no—
154C8×Dic11—21no—
155C8×Dic11—41no—
156#66874—21no—
157#66874—21no—
158#66872—21no—
159#66872—21no—
160#66871—21no—
161#66871—21no—
162#66867—21no—
163C4×C11⋊C8—21no—
164#22896—111nomaximal, Sylow
165C24×C11—21no—
166C24×C11—41no—
167C11×#41—21no—
168C11×#41—21no—
169C11×#41—21no—
170C11×#41—21no—
171C11×#41—24no—
172C11×#41—24no—
173C11×#41—42no—
174C11×#41—42no—
175C11×#41C22×C412yes—
176C11×#41C22×C412yes—
177C11×#41#4112yes—
178C11×#41#4112yes—
179C2×Q8×C11C2×D411yescharacteristic
180C2×Q8×C11C2×D411yescharacteristic
181C2×D4×C11—21no—
182C2×D4×C11—21no—
183C2×D4×C11—24no—
184C2×D4×C11—24no—
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—21no—
188C2×D4×C11—21no—
189C2×D4×C11—21no—
190C2×D4×C11—42no—
191C2×D4×C11—42no—
192C2×D4×C11—41no—
193C2×D4×C11—41no—
194C2×D4×C11—44no—
195C2×D4×C11—44no—
196C2×D4×C11C22×C412yes—
197C2×D4×C11C2×D411yescharacteristic
198C2×D4×C11C2×D411yescharacteristic
199C22×C4×C11—21no—
200C22×C4×C11—21no—
201C22×C4×C11—21no—
202C22×C4×C11—41no—
203C22×C4×C11—41no—
204C22×C4×C11C2411yescharacteristic
205C22×Dic11—21no—
206C22×Dic11—21no—
207C22×Dic11—21no—
208C22×Dic11—41no—
209C2×Dic22—21no—
210C2×Dic22—21no—
211C2×Dic22—21no—
212C2×Dic22—21no—
213C2×Dic22—21no—
214C2×Dic22C22×C412yes—
215C11×M16—21no—
216C11×M16—21no—
217C11×M16—42no—
218C2×C8×C11—21no—
219C2×C8×C11—21no—
220C2×C8×C11—21no—
221C2×C8×C11—42no—
222C2×C8×C11C2×D411yescharacteristic
223C2×C8×C11C2×D411yescharacteristic
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—41no—
227C11×C4⋊C4C2×D411yescharacteristic
228C11×C4⋊C4C2×D411yescharacteristic
229C11×C22⋊C4—21no—
230C11×C22⋊C4—41no—
231C42×C11—21no—
232C42×C11—41no—
233C22⋊Dic11—21no—
234C22⋊Dic11—44no—
235C22⋊Dic11—41no—
236#4326—24no—
237#4326—24no—
238#4324—24no—
239#4324—24no—
240C4⋊Dic11—21no—
241C4⋊Dic11—21no—
242C4⋊Dic11—41no—
243C4⋊Dic11C2×D411yescharacteristic
244C4⋊Dic11C2×D411yescharacteristic
245Dic11⋊C4—41no—
246Dic11⋊C4—41no—
247C4×Dic11—21no—
248C4×Dic11—21no—
249C4×Dic11—41no—
250C4×Dic11—41no—
251C4×Dic11—41no—
252C4×Dic11C22×C412yes—
253#4318—21no—
254#4318—21no—
255#4318—21no—
256#4318—21no—
257#4318—42no—
258#4318C22×C412yes—
259#4318C22×C412yes—
260C2×C11⋊C8—21no—
261C2×C11⋊C8—21no—
262C2×C11⋊C8—21no—
263C2×C11⋊C8—21no—
264C2×C11⋊C8—21no—
265C2×C11⋊C8—42no—
266C2×C11⋊C8C2×D411yescharacteristic
267C2×C11⋊C8C2×D411yescharacteristic
268C2×#455—111no—
269#2947—111no—
270#2947—111no—
271#2897—111no—
272#2897D1111yescharacteristic
273#1958—111no—
274#1931—111no—
275#1931—111no—
276#1908—111no—
277#1908—111no—
278#1888—111no—
279#1860—111no—
280#1860—111no—
281#1764—111no—
282#1764—111no—
283C23×C11—21no—
284C23×C11—21no—
285C23×C11—22no—
286C23×C11—44no—
287C23×C11—41no—
288C23×C11—41no—
289C23×C11—81no—
290C23×C11—81no—
291C23×C11—161no—
292C23×C11—161no—
293C23×C11H(5,𝔽2)11yescharacteristic
294Q8×C11—21no—
295Q8×C11—21no—
296Q8×C11C4×D412yes—
297Q8×C11C4×D412yes—
298D4×C11—22no—
299D4×C11—22no—
300D4×C11—22no—
301D4×C11—22no—
302D4×C11—22no—
303D4×C11—22no—
304D4×C11—21no—
305D4×C11—21no—
306D4×C11—44no—
307D4×C11—44no—
308D4×C11—41no—
309D4×C11—41no—
310D4×C11C4×D412yes—
311D4×C11C4×D412yes—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—22no—
315C2×C4×C11—22no—
316C2×C4×C11—22no—
317C2×C4×C11—22no—
318C2×C4×C11—21no—
319C2×C4×C11—21no—
320C2×C4×C11—44no—
321C2×C4×C11—41no—
322C2×C4×C11—81no—
323C2×C4×C11—161no—
324C2×C4×C11C23×C411yescharacteristic
325C2×C4×C11C22×D411yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C2×#4111yescharacteristic
328C2×C4×C11C2×#4111yescharacteristic
329C2×C4×C11H(5,𝔽2)11yescharacteristic
330C2×Dic11—22no—
331C2×Dic11—22no—
332C2×Dic11—21no—
333C2×Dic11—21no—
334C2×Dic11—41no—
335C2×Dic11—41no—
336C2×Dic11—41no—
337C2×Dic11—41no—
338C2×Dic11—41no—
339C2×Dic11—81no—
340C2×Dic11—161no—
341Dic22—22no—
342Dic22—22no—
343Dic22—41no—
344Dic22—41no—
345C8×C11—21no—
346C8×C11—21no—
347C8×C11—41no—
348C11⋊C8—22no—
349C11⋊C8—22no—
350C11⋊C8—21no—
351C11⋊C8—21no—
352C11⋊C8—41no—
353C2×H(5,𝔽2)C2×D1111yescharacteristic
354C2×#137—111no—
355C2×#137—111no—
356C2×#131—111no—
357C2×#131C2×D1111yescharacteristic
358C2×#124—111no—
359#520—111no—
360#520C2×D1111yescharacteristic
361#519—111no—
362#455—118no—
363#441—221no—
364#441—221no—
365#440—221no—
366#440—221no—
367C4×Q16—221no—
368C4×Q16—221no—
369C4×SD16—221no—
370C4×SD16—221no—
371#428—111no—
372#428—111no—
373C2×#104—111no—
374C2×#104—111no—
375#418—21no—
376#418—111no—
377#418—221no—
378#418C2×D1111yescharacteristic
379#417—21no—
380#417—111no—
381#417—221no—
382#417C2×D1111yescharacteristic
383#416—21no—
384#416—111no—
385#416—221no—
386#416C2×D1111yescharacteristic
387C2×#103—111no—
388C2×#103—111no—
389C2×#102—21no—
390C2×#102—111no—
391C2×#102—221no—
392C2×#102C2×D1111yescharacteristic
393C2×#101—111no—
394C2×#100—111no—
395#405—111no—
396#405—111no—
397C2×C4×C8—111no—
398#382—111no—
399#343—111no—
400#343—111no—
401#341—111no—
402#341—111no—
403#339—111no—
404#339—111no—
405C22×C11—21no—
406C22×C11—21no—
407C22×C11—22no—
408C22×C11—22no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11—41no—
412C22×C11—41no—
413C22×C11—42no—
414C22×C11—82no—
415C22×C11—81no—
416C22×C11—81no—
417C22×C11—161no—
418C22×C11—164no—
419C22×C11#51811yescharacteristic
420C22×C11D4211yescharacteristic
421C22×C11#55111yescharacteristic
422C4×C11—22no—
423C4×C11—22no—
424C4×C11—41no—
425C4×C11—41no—
426C4×C11—81no—
427C4×C11C2×C4×D411yescharacteristic
428C4×C11C2×C4×D411yescharacteristic
429C4×C11#54611yescharacteristic
430C4×C11#54611yescharacteristic
431Dic11—42no—
432Dic11—42no—
433Dic11—41no—
434Dic11—41no—
435Dic11—81no—
436H(5,𝔽2)—22no—
437H(5,𝔽2)—22no—
438H(5,𝔽2)—41no—
439H(5,𝔽2)C4×D1114yes—
440C2×#41—21no—
441C2×#41—21no—
442C2×#41C22×D1111yescharacteristic
443C2×#41C22×D1111yescharacteristic
444C22×Q8—111no—
445C22×D4—21no—
446C22×D4—21no—
447C22×D4—41no—
448C22×D4C22×D1111yescharacteristic
449#137—114no—
450#137—114no—
451#137—222no—
452#137—222no—
453C2×Q16—221no—
454C2×Q16—221no—
455C2×SD16—221no—
456C2×SD16—221no—
457#131—22no—
458#131—41no—
459#131—222no—
460#131—441no—
461C2×M16—21no—
462C2×M16—111no—
463C2×M16—111no—
464C2×M16—111no—
465C2×M16—221no—
466C2×M16C22×D1111yescharacteristic
467C22×C8—21no—
468C22×C8—111no—
469C22×C8—221no—
470C22×C8C22×D1111yescharacteristic
471#124—114no—
472#124—441no—
473C4×Q8—21no—
474C4×Q8—221no—
475C4×Q8—221no—
476C4×Q8—221no—
477C4×Q8—221no—
478C4×Q8—221no—
479C4×D4—21no—
480C4×D4—41no—
481C4×D4—221no—
482C4×D4—441no—
483#117—21no—
484#117—111no—
485#117—221no—
486#117—441no—
487#117C22×D1111yescharacteristic
488C2×C4⋊C4—21no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4C22×D1111yescharacteristic
492C2×C22⋊C4—441no—
493C2×C42—111no—
494#107—221no—
495#107—221no—
496#106—221no—
497#106—221no—
498#104—114no—
499#104—114no—
500#103—21no—
501#103—111no—
502#103—111no—
503#103—221no—
504#103—221no—
505#103—221no—
506#103—221no—
507#103—221no—
508#103C22⋊D1111yescharacteristic
509#103C22⋊D1111yescharacteristic
510#102—21no—
511#102—21no—
512#102—21no—
513#102—21no—
514#102—21no—
515#102—111no—
516#102—111no—
517#102—221no—
518#102—221no—
519#102—221no—
520#102—221no—
521#102—221no—
522#102C22⋊D1111yescharacteristic
523#102C22⋊D1111yescharacteristic
524#101—441no—
525#100—114no—
526#97—221no—
527#97—221no—
528C4×C8—221no—
529C4×C8—221no—
530C4×C8—441no—
531#95—441no—
532C2×C11—21no—
533C2×C11—21no—
534C2×C11—42no—
535C2×C11—42no—
536C2×C11—82no—
537C2×C11#235811yescharacteristic
538C2×C11#329011yescharacteristic
539C2×C11#329011yescharacteristic
540C24—21no—
541C24—41no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—24no—
547#41—24no—
548#41—42no—
549#41—42no—
550#41C2×C4×D1112yes—
551#41C2×C4×D1112yes—
552#41#433912yes—
553#41#434112yes—
554C2×Q8—112no—
555C2×Q8—221no—
556C2×Q8—221no—
557C2×Q8—221no—
558C2×Q8—221no—
559C2×Q8—221no—
560C2×Q8D4×D1111yescharacteristic
561C2×Q8C2×C22⋊D1111yescharacteristic
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—24no—
565C2×D4—24no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—42no—
572C2×D4—42no—
573C2×D4—41no—
574C2×D4—41no—
575C2×D4—44no—
576C2×D4—44no—
577C2×D4C2×C4×D1112yes—
578C2×D4D4×D1111yescharacteristic
579C2×D4C2×C22⋊D1111yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—41no—
584C22×C4—41no—
585C22×C4—221no—
586C22×C4—221no—
587C22×C4—221no—
588C22×C4—441no—
589C22×C4C23×D1111yescharacteristic
590Q16—224no—
591Q16—224no—
592SD16—224no—
593SD16—224no—
594M16—21no—
595M16—21no—
596M16—42no—
597M16—112no—
598M16—112no—
599M16—221no—
600M16—221no—
601M16—221no—
602M16—221no—
603M16—442no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—42no—
608C2×C8—111no—
609C2×C8—111no—
610C2×C8—221no—
611C2×C8—221no—
612C2×C8—221no—
613C2×C8—221no—
614C2×C8—221no—
615C2×C8—442no—
616C2×C8C2×C22⋊D1111yescharacteristic
617C2×C8C2×C22⋊D1111yescharacteristic
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—41no—
621C4⋊C4—111no—
622C4⋊C4—111no—
623C4⋊C4—221no—
624C4⋊C4—221no—
625C4⋊C4—441no—
626C4⋊C4—441no—
627C4⋊C4—441no—
628C4⋊C4C2×C22⋊D1111yescharacteristic
629C4⋊C4C2×C22⋊D1111yescharacteristic
630C22⋊C4—21no—
631C22⋊C4—41no—
632C22⋊C4—221no—
633C22⋊C4—444no—
634C22⋊C4—441no—
635C42—21no—
636C42—41no—
637C42—112no—
638C42—221no—
639C42—221no—
640C42—441no—
641C42—441no—
642C42—441no—
643C11#2289611yescharacteristic, complemented, Sylow
644C23—21no—
645C23—21no—
646C23—22no—
647C23—44no—
648C23—41no—
649C23—41no—
650C23—81no—
651C23—81no—
652C23—161no—
653C23—161no—
654C23#6703711yescharacteristic
655Q8—21no—
656Q8—21no—
657Q8—222no—
658Q8—222no—
659Q8—441no—
660Q8—441no—
661Q8(C22⋊D11)⋊C412yes—
662Q8C4×C22⋊D1112yes—
663D4—22no—
664D4—22no—
665D4—22no—
666D4—22no—
667D4—22no—
668D4—21no—
669D4—22no—
670D4—21no—
671D4—44no—
672D4—44no—
673D4—41no—
674D4—41no—
675D4(C22⋊D11)⋊C412yes—
676D4C4×C22⋊D1112yes—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—44no—
686C2×C4—41no—
687C2×C4—81no—
688C2×C4—161no—
689C2×C4—222no—
690C2×C4—222no—
691C2×C4—221no—
692C2×C4—221no—
693C2×C4—441no—
694C2×C4—441no—
695C2×C4—441no—
696C2×C4—441no—
697C2×C4—441no—
698C2×C4—881no—
699C2×C4—1761no—
700C2×C4C22×C4×D1111yescharacteristic
701C2×C4C2×#433911yescharacteristic
702C2×C4C2×D4×D1111yescharacteristic
703C2×C4C2×#434111yescharacteristic
704C2×C4#6703711yescharacteristic
705C2×C4C22×C22⋊D1111yescharacteristic
706C8—21no—
707C8—21no—
708C8—41no—
709C8—222no—
710C8—221no—
711C8—221no—
712C8—222no—
713C8—441no—
714C22—21no—
715C22—21no—
716C22—22no—
717C22—22no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—42no—
723C22—82no—
724C22—81no—
725C22—81no—
726C22—161no—
727C22—164no—
728C22#1062301711yescharacteristic
729C22#1062302611yescharacteristic
730C22D4×C22⋊D1111yescharacteristic
731C4—22no—
732C4—22no—
733C4—41no—
734C4—41no—
735C4—81no—
736C4—442no—
737C4—441no—
738C4—441no—
739C4—442no—
740C4—881no—
741C4C2×(C22⋊D11)⋊C411yescharacteristic
742C4#1062302111yescharacteristic
743C4C2×C4×C22⋊D1111yescharacteristic
744C4#1062333711yescharacteristic
745C2—21no—
746C2—21no—
747C2—42no—
748C2—42no—
749C2—82no—
750C2#1307159511yescharacteristic
751C2#1308039611yescharacteristic
752C2#1308039811yescharacteristic
subgroupG/H
centerC22D4×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2897C2
socleC22×C11D42
prime radicalC2×C11×H(5,𝔽2)C22
cosocleC22×C4×C11C24
hypercenter#2897D11
hypocenterC11#22896
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2897

Complements

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

NH ≅ G/Ntype
2. #13077462C2semidirect
3. #13077455C2semidirect
5. #13069426C2semidirect
6. #13069281C2semidirect
7. #13069275C2semidirect
8. #13069131C2semidirect
9. #13069129C2semidirect
10. #13069016C2semidirect
11. #13068849C2semidirect
12. #13068847C2semidirect
13. #13068456C2semidirect
14. #13068451C2semidirect
24. #10623047C22semidirect
33. #10622855C4semidirect
45. C2×#66888C22semidirect
46. C2×#66880C22semidirect
47. #10622714C22semidirect
48. C2×C8×Dic11C22semidirect
53. #10622610C22semidirect
54. #10622608C22semidirect
55. #10622590C22semidirect
56. C2×#66874C22semidirect
57. #10622577C22semidirect
62. #10622196C22semidirect
63. #10622193C22semidirect
64. #10622192C22semidirect
65. #10622190C22semidirect
66. #10622170C22semidirect
67. #10622168C22semidirect
97. #67004C2×C4semidirect
98. #67004C2×C4semidirect
105. #66989C2×C4semidirect
136. #66901C2×C4semidirect
137. #66901C2×C4semidirect
141. #66897C2×C4semidirect
643. C11#22896semidirect

Maximal subgroups

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

subgroupindex
C2×#106228552
#130774622
#130774552
#130771422
#130694262
#130692812
#130692752
#130691312
#130691292
#130690162
#130688492
#130688472
#130684562
#130684512
C11×#28972
#2289611