Finite Group Databasebeta

← #6519408

Subgroups — #6519408

Order 512.

2182 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2540C211yesmaximal, characteristic
2#34185C211yesmaximal, characteristic, complemented
3#26241C214yesmaximal, complemented
4#26240C214yesmaximal, complemented
5#26239C214yesmaximal, complemented
6#26238C214yesmaximal, complemented
7#24010C212yesmaximal, complemented
8#24009C212yesmaximal, complemented
9#24006C211yesmaximal, characteristic, complemented
10#24005C211yesmaximal, characteristic, complemented
11#24003C211yesmaximal, characteristic, complemented
12#24002C211yesmaximal, characteristic, complemented
13#21806C212yesmaximal, complemented
14#21786C211yesmaximal, characteristic, complemented
15#21361C212yesmaximal, complemented
16C22×#124C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#484C2212yescomplemented
23C2×#481C2212yescomplemented
24C2×#485C2214yescomplemented
25C2×#482C2214yescomplemented
26C2×#483C2212yescomplemented
27C2×#480C2212yescomplemented
28C2×#431C2212yes—
29#2540—22no—
30#2540—22no—
31#2540C2214yes—
32#2540C2214yes—
33C2×#399—21no—
34C2×#392—21no—
35#2353—22no—
36#2353—22no—
37#2352C2212yescomplemented
38#2352C2212yescomplemented
39#2352C2212yescomplemented
40#2352C2212yescomplemented
41#2313—21no—
42#2312—21no—
43#2308—21no—
44C2×#390—21no—
45C2×#390—21no—
46#2283C2212yes—
47#2280C2212yes—
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50#2273—21no—
51C2×C4×C4⋊C4C2211yescharacteristic
52#2036C2214yescomplemented
53#2036C2214yescomplemented
54#2035C2214yescomplemented
55#2035C2214yescomplemented
56#2034C2214yescomplemented
57#2034C2214yescomplemented
58#2033C2214yescomplemented
59#2033C2214yescomplemented
60#1983C2214yescomplemented
61#1983C2214yescomplemented
62#1958C2214yescomplemented
63#1958C2214yescomplemented
64#1954C2214yescomplemented
65#1954C2214yescomplemented
66#1949C2214yescomplemented
67#1949C2214yescomplemented
68#1875C2214yescomplemented
69#1874C2212yescomplemented
70#1874C2212yescomplemented
71#1873C2214yescomplemented
72#1872C2212yescomplemented
73#1872C2212yescomplemented
74#1853C2212yes—
75#1853C2212yes—
76#1852C2212yes—
77#1852C2212yes—
78#1787C2212yes—
79#1787C2212yes—
80#1786C2212yes—
81#1786C2212yes—
82#1779C2211yescharacteristic
83#1779C2211yescharacteristic
84#1779C2212yes—
85C4×#107C2214yescomplemented
86C4×#106C2214yescomplemented
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4—21no—
90C23×D4D411yescharacteristic
91C23×D4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C2×#124—22no—
95C2×#124—28no—
96C2×#124C2314yes—
97C2×C22⋊Q8—21no—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—22no—
100C2×C22⋊Q8—44no—
101C2×C22⋊Q8—44no—
102C2×C22⋊Q8C2312yes—
103C2×C22⋊Q8C2314yes—
104C2×C22⋊Q8C2312yes—
105C2×#121—21no—
106C2×#121—21no—
107C2×#121—22no—
108C2×#121—44no—
109C2×#121—44no—
110C2×#121C2312yes—
111C2×#121C2314yes—
112C2×#121C2312yes—
113C2×C4×D4—28no—
114C2×C4×D4D412yes—
115C2×C4×D4D412yes—
116C2×C4×D4C2312yes—
117C2×C4×D4C2312yes—
118C2×#117C2312yes—
119C2×#117C2312yes—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4D411yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4D411yescharacteristic
138C22×C22⋊C4D411yescharacteristic
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141#485—48no—
142#484—44no—
143#483—44no—
144#482—48no—
145#481—44no—
146#480—44no—
147#431—28no—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×C4×C8C2314yes—
170#399—24no—
171#399—24no—
172#392—24no—
173#392—24no—
174#390—24no—
175#390—24no—
176#390—24no—
177#390—24no—
178#388—22no—
179#388—22no—
180#388—22no—
181#388—22no—
182#387—22no—
183#387—22no—
184#387—22no—
185#387—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#383—22no—
191#382C2312yes—
192#382C2312yes—
193#381—22no—
194#381—22no—
195#380—21no—
196#380—21no—
197#380—21no—
198#380—21no—
199#380C2312yes—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#380C2312yes—
204#380C2312yes—
205#379—22no—
206C4×C4⋊C4—22no—
207C4×C4⋊C4C2312yes—
208C4×C4⋊C4C2312yes—
209C4×C4⋊C4C2314yes—
210C4×C22⋊C4—22no—
211C4×C22⋊C4—22no—
212C4×C22⋊C4—22no—
213C4×C22⋊C4—22no—
214C4×C22⋊C4—22no—
215C4×C22⋊C4—22no—
216C4×C22⋊C4—22no—
217#376—22no—
218C2×#95—21no—
219C2×#95—21no—
220C2×#95—21no—
221#340C2314yes—
222#340C2314yes—
223#340C2314yes—
224#340C2314yes—
225C25—21no—
226C25C2×D411yescharacteristic
227C25C2×D411yescharacteristic
228C22×Q8—21no—
229C22×Q8—24no—
230C22×Q8—42no—
231C22×Q8—42no—
232C22×Q8C2412yes—
233C22×D4—24no—
234C22×D4—24no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—24no—
238C22×D4—21no—
239C22×D4—24no—
240C22×D4—42no—
241C22×D4—42no—
242C22×D4—42no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—44no—
246C22×D4—44no—
247C22×D4—82no—
248C22×D4—82no—
249C22×D4C2×D412yes—
250C22×D4C2×D412yes—
251C22×D4C2412yes—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D412yes—
271C23×C4C2×D411yescharacteristic
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C22×C8C2414yes—
277C22×C8C2414yes—
278#124—28no—
279#124—28no—
280#124—48no—
281C22⋊Q8—24no—
282C22⋊Q8—24no—
283C22⋊Q8—28no—
284C22⋊Q8—42no—
285C22⋊Q8—42no—
286C22⋊Q8—44no—
287C22⋊Q8—44no—
288C22⋊Q8—44no—
289C22⋊Q8—48no—
290#121—24no—
291#121—24no—
292#121—28no—
293#121—42no—
294#121—42no—
295#121—44no—
296#121—48no—
297#121—44no—
298#121—44no—
299C4×D4—28no—
300C4×D4—28no—
301C4×D4—24no—
302C4×D4—24no—
303C4×D4—24no—
304C4×D4—24no—
305#117—44no—
306#117—44no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—42no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—42no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4C2×D412yes—
326C2×C4⋊C4C2×D412yes—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—22no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4C2×D412yes—
360C2×C22⋊C4C2×D412yes—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—24no—
368C2×C42—82no—
369C2×C42C2×D412yes—
370C2×C42#4118yes—
371C2×C42C2412yes—
372#107—28no—
373#107—28no—
374#106—28no—
375#106—28no—
376C4⋊C8—28no—
377#103—44no—
378#103—44no—
379#103—44no—
380#103—44no—
381#102—44no—
382#102—44no—
383#102—44no—
384#102—44no—
385C22⋊C8—24no—
386C22⋊C8—24no—
387C22⋊C8—42no—
388C22⋊C8—42no—
389C22⋊C8—44no—
390C22⋊C8—42no—
391C22⋊C8—42no—
392C22⋊C8—44no—
393C4×C8—28no—
394#95—22no—
395#95—22no—
396#95—24no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—41no—
414C24—41no—
415C24—41no—
416C24—41no—
417C24—41no—
418C24—41no—
419C24—41no—
420C24—41no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24#13514yes—
429C24C22×D412yes—
430C24C22×D411yescharacteristic
431C24C22×D411yescharacteristic
432C24C22×D411yescharacteristic
433C2×Q8—24no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—24no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8—88no—
441C2×D4—24no—
442C2×D4—24no—
443C2×D4—24no—
444C2×D4—24no—
445C2×D4—24no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—24no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—416no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—48no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—48no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—42no—
461C2×D4—88no—
462C2×D4—82no—
463C2×D4—82no—
464C2×D4—84no—
465C2×D4—816no—
466C2×D4—816no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—42no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—42no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—88no—
519C22×C4—88no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4#12314yes—
529C22×C4#12314yes—
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D412yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D412yes—
536C22×C4C2×#4114yes—
537C22×C4C2511yescharacteristic
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—81no—
558C4⋊C4—81no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4H(5,𝔽2)14yes—
562C4⋊C4H(5,𝔽2)14yes—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—48no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—48no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C42—82no—
584C42—82no—
585C42—84no—
586C42—82no—
587C42—82no—
588C42#12318yes—
589C42C2×#4114yes—
590C42C2×#4114yes—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—28no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—82no—
628C23—82no—
629C23—82no—
630C23—82no—
631C23—82no—
632C23—82no—
633C23—82no—
634C23—82no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23C2×#12312yes—
643C23C2×#13512yes—
644C23C2×#13512yes—
645C23C2×#13512yes—
646C23#57512yes—
647C23C23×D411yescharacteristic
648Q8—44no—
649Q8—44no—
650Q8—84no—
651D4—48no—
652D4—48no—
653D4—44no—
654D4—44no—
655D4—84no—
656D4—88no—
657D4—88no—
658D4—816no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—28no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—28no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—44no—
679C2×C4—48no—
680C2×C4—48no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4—84no—
707C2×C4—82no—
708C2×C4—82no—
709C2×C4—84no—
710C2×C4—162no—
711C2×C4—162no—
712C2×C4—162no—
713C2×C4—162no—
714C2×C4C2×#12312yes—
715C2×C4C2×#12314yes—
716C2×C4C2×#12314yes—
717C2×C4C22×#4112yes—
718C2×C4C2×H(5,𝔽2)12yes—
719C2×C4C2×H(5,𝔽2)12yes—
720C8—44no—
721C8—44no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—88no—
750C22—88no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—168no—
759C22#309114yes—
760C22C22×#12311yescharacteristic
761C22#348411yescharacteristic
762C22#348411yescharacteristic
763C22C22×#13511yescharacteristic
764C22C2×#57511yescharacteristic
765C22#358511yescharacteristic
766C22#358611yescharacteristic
767C4—24no—
768C4—24no—
769C4—22no—
770C4—44no—
771C4—44no—
772C4—42no—
773C4—41no—
774C4—41no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4#350814yes—
781C2—24no—
782C2—42no—
783C2—42no—
784C2—82no—
785C2—162no—
786C2#3555411yescharacteristic
787C2C2×#309111yescharacteristic
788C2#6052011yescharacteristic
789C2#6156111yescharacteristic
790C2#6156411yescharacteristic
791C2#6158111yescharacteristic
792C2#6158311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2540C2
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. #34185C2semidirect
3. #26241C2semidirect
4. #26240C2semidirect
5. #26239C2semidirect
6. #26238C2semidirect
7. #24010C2semidirect
8. #24009C2semidirect
9. #24006C2semidirect
10. #24005C2semidirect
11. #24003C2semidirect
12. #24002C2semidirect
13. #21806C2semidirect
14. #21786C2semidirect
15. #21361C2semidirect
22. C2×#484C22semidirect
23. C2×#481C22semidirect
24. C2×#485C22semidirect
25. C2×#482C22semidirect
26. C2×#483C22semidirect
27. C2×#480C22semidirect
37. #2352C22semidirect
38. #2352C22semidirect
39. #2352C22semidirect
40. #2352C22semidirect
52. #2036C22semidirect
53. #2036C22semidirect
54. #2035C22semidirect
55. #2035C22semidirect
56. #2034C22semidirect
57. #2034C22semidirect
58. #2033C22semidirect
59. #2033C22semidirect
60. #1983C22semidirect
61. #1983C22semidirect
62. #1958C22semidirect
63. #1958C22semidirect
64. #1954C22semidirect
65. #1954C22semidirect
66. #1949C22semidirect
67. #1949C22semidirect
68. #1875C22semidirect
69. #1874C22semidirect
70. #1874C22semidirect
71. #1873C22semidirect
72. #1872C22semidirect
73. #1872C22semidirect
85. C4×#107C22semidirect
86. C4×#106C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25402
#341852
#262412
#262402
#262392
#262382
#240102
#240092
#240062
#240052
#240032
#240022
#218062
#217862
#213612