Finite Group Databasebeta

← #6519048

Subgroups — #6519048

Order 512.

2196 conjugacy classes of subgroups.

The subgroup lattice has 775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2537C211yesmaximal, characteristic
2#34194C211yesmaximal, characteristic, complemented
3#27604C212yesmaximal, complemented
4#27601C212yesmaximal, complemented
5#25026C214yesmaximal, complemented
6#25013C212yesmaximal, complemented
7#25012C212yesmaximal, complemented
8#24982C214yesmaximal, complemented
9#24966C212yesmaximal, complemented
10#24965C212yesmaximal, complemented
11#24009C212yesmaximal, complemented
12#24005C212yesmaximal, complemented
13#21987C211yesmaximal, characteristic, complemented
14#21981C211yesmaximal, characteristic, complemented
15#21788C211yesmaximal, characteristic, complemented
16#20738C211yesmaximal, characteristic, complemented
17#20733C211yesmaximal, characteristic, complemented
18C22×#121—21no—
19C22×#121C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#481C2214yescomplemented
23C2×#482C2214yescomplemented
24C2×#432C2211yescharacteristic
25C2×#431C2211yescharacteristic
26#2537—22no—
27#2537—21no—
28#2537—21no—
29#2537C2212yes—
30#2537C2212yes—
31#2537C2214yes—
32C2×#394—22no—
33#2354C2211yescharacteristic, complemented
34#2354C2211yescharacteristic, complemented
35#2352C2212yescomplemented
36#2352C2212yescomplemented
37D4×C4⋊C4C2211yescharacteristic, complemented
38D4×C4⋊C4C2211yescharacteristic, complemented
39#2345—21no—
40#2342—22no—
41D4×C22⋊C4—21no—
42#2319—21no—
43#2318—22no—
44#2285C2211yescharacteristic
45C2×#384C2211yescharacteristic
46#2283C2211yescharacteristic
47#2280C2212yes—
48C2×#380—21no—
49C2×#380C2212yes—
50C2×#380C2212yes—
51#2275—21no—
52#2077C2214yescomplemented
53#2077C2214yescomplemented
54#2077C2214yescomplemented
55#2075C2214yescomplemented
56#2034C2214yescomplemented
57#2034C2214yescomplemented
58#2034C2214yescomplemented
59#2033C2214yescomplemented
60#1955C2214yescomplemented
61#1954C2212yescomplemented
62#1954C2212yescomplemented
63#1948C2212yescomplemented
64#1948C2214yescomplemented
65#1947C2212yescomplemented
66#1875C2214yescomplemented
67#1874C2214yescomplemented
68#1854C2214yescomplemented
69#1853C2212yes—
70#1853C2212yes—
71#1853C2212yes—
72#1853C2214yescomplemented
73#1852C2212yes—
74#1847C2212yescomplemented
75#1844C2212yescomplemented
76#1836C2212yescomplemented
77#1834C2212yescomplemented
78#1825C2214yescomplemented
79#1824C2212yes—
80#1824C2211yescharacteristic
81#1824C2211yescharacteristic
82#1823C2214yescomplemented
83#1804C2212yescomplemented
84#1804C2212yescomplemented
85#1802C2212yescomplemented
86#1802C2212yescomplemented
87#1786C2212yes—
88#1786C2211yescharacteristic
89#1786C2211yescharacteristic
90#1779C2212yes—
91#1779C2212yes—
92#1762C2214yescomplemented
93C4×#102C2212yescomplemented
94C4×#102C2212yescomplemented
95C23×D4—22no—
96C23×D4D411yescharacteristic
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C24×C4C2312yes—
100C2×#121—22no—
101C2×#121—24no—
102C2×#121—22no—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—48no—
106C2×#121—48no—
107C2×#121C2314yes—
108C2×#121C2314yes—
109C2×C4×D4—21no—
110C2×C4×D4—21no—
111C2×C4×D4—21no—
112C2×C4×D4—21no—
113C2×C4×D4—24no—
114C2×C4×D4—24no—
115C2×C4×D4—24no—
116C2×C4×D4—24no—
117C2×C4×D4D412yes—
118C2×C4×D4D411yescharacteristic
119C2×C4×D4D411yescharacteristic
120C2×C4×D4C2312yes—
121C2×C4×D4C2312yes—
122C2×C4×D4C2311yescharacteristic
123C2×C4×D4C2312yes—
124C2×C4×D4C2311yescharacteristic
125C2×#117—21no—
126C2×#117C2312yes—
127C2×#117C2312yes—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4D411yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2312yes—
133C22×C4⋊C4C2312yes—
134C22×C4⋊C4C2312yes—
135C22×C22⋊C4—22no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—22no—
138C22×C22⋊C4—22no—
139C22×C22⋊C4D412yes—
140C22×C42C2311yescharacteristic
141#482—48no—
142#481—48no—
143#432—24no—
144#431—24no—
145C2×#107C2314yes—
146C2×#106C2314yes—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×C4⋊C8C2312yes—
150C2×C4⋊C8C2312yes—
151C2×#102C2314yes—
152C2×#102C2312yes—
153C2×#102C2312yes—
154C2×#102C2314yes—
155C2×#102C2312yes—
156C2×#102C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2311yescharacteristic
159C2×C22⋊C8C2311yescharacteristic
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164C2×#97C2312yes—
165C2×C4×C8C2312yes—
166#394—24no—
167#394—24no—
168#394—24no—
169#394—24no—
170#390—21no—
171#390—21no—
172#389—21no—
173#389—21no—
174#388—22no—
175#388—22no—
176#388—22no—
177#388—22no—
178#387—22no—
179#387—22no—
180#386—22no—
181#386—22no—
182#385—22no—
183#385—22no—
184#384—21no—
185#384—21no—
186#384C2311yescharacteristic
187#384C2311yescharacteristic
188#384C2312yes—
189#384C2312yes—
190#383—21no—
191#382—21no—
192#382C2311yescharacteristic
193#382C2311yescharacteristic
194#381—22no—
195#381—21no—
196#380—22no—
197#380—21no—
198#380—22no—
199#380—22no—
200#380—22no—
201#380—22no—
202#380—24no—
203#380—22no—
204#380C2312yes—
205#380C2314yes—
206#380C2314yes—
207#380C2312yes—
208#380C2312yes—
209#380C2312yes—
210#380C2311yescharacteristic
211#380C2311yescharacteristic
212#380C2312yes—
213#379—22no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4C2311yescharacteristic
218C4×C4⋊C4C2311yescharacteristic
219C4×C4⋊C4C2312yes—
220C4×C22⋊C4—22no—
221C4×C22⋊C4—21no—
222C4×C22⋊C4—22no—
223C4×C22⋊C4—22no—
224C4×C22⋊C4—22no—
225#376—21no—
226C2×#95—22no—
227C2×#95—22no—
228#340C2314yes—
229#340C2314yes—
230#340C2312yes—
231#340C2312yes—
232#340C2312yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238C25—21no—
239C25C2×D412yes—
240C22×D4—24no—
241C22×D4—24no—
242C22×D4—24no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—21no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4—48no—
251C22×D4—48no—
252C22×D4—84no—
253C22×D4C2×D411yescharacteristic
254C22×D4C2×D412yes—
255C22×D4C2×D411yescharacteristic
256C22×D4C2412yes—
257C23×C4—24no—
258C23×C4—24no—
259C23×C4—21no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—44no—
266C23×C4—44no—
267C23×C4—44no—
268C23×C4—44no—
269C23×C4—44no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D412yes—
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2411yescharacteristic
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22×C8C2414yes—
281#121—28no—
282#121—28no—
283#121—44no—
284#121—44no—
285#121—48no—
286#121—48no—
287#121—48no—
288#121—416no—
289#121—48no—
290C4×D4—24no—
291C4×D4—28no—
292C4×D4—24no—
293C4×D4—22no—
294C4×D4—22no—
295C4×D4—24no—
296C4×D4—22no—
297C4×D4—24no—
298C4×D4—22no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—24no—
302C4×D4—24no—
303C4×D4—44no—
304C4×D4—44no—
305C4×D4—44no—
306C4×D4—44no—
307#117—44no—
308#117—44no—
309#117—82no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—82no—
330C2×C4⋊C4C2×D411yescharacteristic
331C2×C4⋊C4C2×D412yes—
332C2×C4⋊C4C2×D411yescharacteristic
333C2×C4⋊C4C2411yescharacteristic
334C2×C4⋊C4C2411yescharacteristic
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2414yes—
339C2×C4⋊C4C2411yescharacteristic
340C2×C4⋊C4C2411yescharacteristic
341C2×C22⋊C4—28no—
342C2×C22⋊C4—21no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—21no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—48no—
358C2×C22⋊C4—48no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—84no—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42C2×D411yescharacteristic
371C2×C42C2×D411yescharacteristic
372C2×C42#4114yes—
373C2×C42#4114yes—
374C2×C42C2411yescharacteristic
375C2×C42C2411yescharacteristic
376#107—44no—
377#106—44no—
378#106—44no—
379#106—44no—
380C4⋊C8—24no—
381C4⋊C8—24no—
382#102—24no—
383#102—28no—
384#102—24no—
385#102—42no—
386#102—44no—
387#102—42no—
388C22⋊C8—22no—
389C22⋊C8—22no—
390C22⋊C8—24no—
391C22⋊C8—44no—
392C22⋊C8—44no—
393C22⋊C8—44no—
394C22⋊C8—44no—
395#97—24no—
396C4×C8—24no—
397#95—21no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—24no—
402#95—24no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—22no—
407#95—22no—
408#95—21no—
409#95—21no—
410#95—22no—
411#95—21no—
412#95—21no—
413C24—24no—
414C24—24no—
415C24—22no—
416C24—24no—
417C24—24no—
418C24—24no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24C22×D412yes—
429C24C22×D412yes—
430C24C22×D411yescharacteristic
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—22no—
434C2×D4—24no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—416no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—42no—
454C2×D4—84no—
455C2×D4—84no—
456C2×D4—832no—
457C2×D4AGL(1,ℤ/8)14yes—
458C2×D4H(5,𝔽2)14yes—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4—816no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4#12314yes—
512C22×C4#12314yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2511yescharacteristic
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—24no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—24no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—24no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—82no—
552C4⋊C4—82no—
553C4⋊C4—82no—
554C4⋊C4—82no—
555C4⋊C4—81no—
556C4⋊C4—81no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—44no—
565C22⋊C4—48no—
566C22⋊C4—44no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—82no—
573C22⋊C4—82no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C42—42no—
577C42—42no—
578C42—82no—
579C42—82no—
580C42—82no—
581C42#12314yes—
582C42#12314yes—
583C42C2×#4112yes—
584C42C2×#4112yes—
585C42C2×#4112yes—
586C42C2×#4112yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—24no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—48no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23—48no—
611C23—48no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23C2×#12312yes—
626C23C2×AGL(1,ℤ/8)14yes—
627C23#57712yes—
628C23#57712yes—
629C23C23×D411yescharacteristic
630D4—28no—
631D4—24no—
632D4—24no—
633D4—48no—
634D4—48no—
635D4—44no—
636D4—42no—
637D4—42no—
638D4—816no—
639D4—816no—
640C2×C4—28no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—28no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—44no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—88no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—88no—
692C2×C4—88no—
693C2×C4—164no—
694C2×C4—164no—
695C2×C4C2×#12312yes—
696C2×C4C2×#12312yes—
697C2×C4C2×#12312yes—
698C2×C4C2×#12312yes—
699C2×C4C2×#12312yes—
700C2×C4C2×AGL(1,ℤ/8)12yes—
701C2×C4#57512yes—
702C2×C4C22×#4111yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C2×C4C2×H(5,𝔽2)12yes—
705C2×C4#58512yes—
706C8—42no—
707C8—42no—
708C8—44no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—44no—
728C22—42no—
729C22—44no—
730C22—42no—
731C22—44no—
732C22—816no—
733C22—816no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22#309914yes—
739C22C22×#12311yescharacteristic
740C22#348411yescharacteristic
741C22#348511yescharacteristic
742C22C22×AGL(1,ℤ/8)11yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57711yescharacteristic
745C22C2×#57711yescharacteristic
746C4—22no—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—42no—
751C4—42no—
752C4—82no—
753C4—81no—
754C4—81no—
755C4—82no—
756C4—81no—
757C4—84no—
758C4—82no—
759C4—81no—
760C4#309414yes—
761C4#349412yes—
762C4#349412yes—
763C2—24no—
764C2—44no—
765C2—82no—
766C2—84no—
767C2#3554011yescharacteristic
768C2C2×#309411yescharacteristic
769C2C2×#309911yescharacteristic
770C2#6160011yescharacteristic
771C2#6160411yescharacteristic
772C2#6172811yescharacteristic
773C2#6173111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2537C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34194C2semidirect
3. #27604C2semidirect
4. #27601C2semidirect
5. #25026C2semidirect
6. #25013C2semidirect
7. #25012C2semidirect
8. #24982C2semidirect
9. #24966C2semidirect
10. #24965C2semidirect
11. #24009C2semidirect
12. #24005C2semidirect
13. #21987C2semidirect
14. #21981C2semidirect
15. #21788C2semidirect
16. #20738C2semidirect
17. #20733C2semidirect
22. C2×#481C22semidirect
23. C2×#482C22semidirect
33. #2354C22semidirect
34. #2354C22semidirect
35. #2352C22semidirect
36. #2352C22semidirect
37. D4×C4⋊C4C22semidirect
38. D4×C4⋊C4C22semidirect
52. #2077C22semidirect
53. #2077C22semidirect
54. #2077C22semidirect
55. #2075C22semidirect
56. #2034C22semidirect
57. #2034C22semidirect
58. #2034C22semidirect
59. #2033C22semidirect
60. #1955C22semidirect
61. #1954C22semidirect
62. #1954C22semidirect
63. #1948C22semidirect
64. #1948C22semidirect
65. #1947C22semidirect
66. #1875C22semidirect
67. #1874C22semidirect
68. #1854C22semidirect
72. #1853C22semidirect
74. #1847C22semidirect
75. #1844C22semidirect
76. #1836C22semidirect
77. #1834C22semidirect
78. #1825C22semidirect
82. #1823C22semidirect
83. #1804C22semidirect
84. #1804C22semidirect
85. #1802C22semidirect
86. #1802C22semidirect
92. #1762C22semidirect
93. C4×#102C22semidirect
94. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25372
#341942
#276042
#276012
#250262
#250132
#250122
#249822
#249662
#249652
#240092
#240052
#219872
#219812
#217882
#207382
#207332