Finite Group Databasebeta

← #6470705

Subgroups — #6470705

Order 512.

2222 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×#3195C211yesmaximal, characteristic, complemented
2C2×#3193C211yesmaximal, characteristic
3#35019C211yesmaximal, characteristic
4C2×#2362C211yesmaximal, characteristic, complemented
5#33111C212yesmaximal, complemented
6#32909C212yesmaximal, complemented
7#29760C212yesmaximal, complemented
8#29719C212yesmaximal, complemented
9#25231C214yesmaximal, complemented
10#25229C214yesmaximal, complemented
11#25107C214yesmaximal, complemented
12#25105C214yesmaximal, complemented
13#21934C211yesmaximal, characteristic, complemented
14#20912C211yesmaximal, characteristic
15#20911C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic, complemented
20C22×#117C2211yescharacteristic
21#3195—28no—
22#3193—28no—
23C2×#484C2212yes—
24C2×#483C2212yescomplemented
25C2×#483C2212yescomplemented
26C2×#480C2212yes—
27C2×#470C2214yes—
28C2×#468C2214yes—
29C2×#464C2214yescomplemented
30C2×#451C2212yescomplemented
31C2×#451C2212yescomplemented
32C2×#448C2212yes—
33C2×#450C2212yes—
34C2×#419C2212yescomplemented
35C2×#418C2212yes—
36C2×#407C2211yescharacteristic
37C2×#407C2211yescharacteristic
38#2850C2212yes—
39#2850C2212yes—
40#2639—21no—
41#2639—21no—
42#2591—22no—
43#2561—22no—
44#2504C2212yes—
45#2503C2212yes—
46#2436C2212yes—
47#2435C2212yes—
48#2362—22no—
49#2362—22no—
50#2362C2214yes—
51#2362C2214yescomplemented
52#2308—21no—
53#2308—21no—
54C2×#391C2211yescharacteristic, complemented
55C2×#389C2211yescharacteristic, complemented
56C2×#388—21no—
57C2×#388—21no—
58C2×#387—21no—
59C2×C4×C4⋊C4—21no—
60C2×C4×C4⋊C4C2211yescharacteristic, complemented
61C2×C4×C22⋊C4C2211yescharacteristic
62#2085C2214yescomplemented
63#2074C2214yescomplemented
64#2068C2214yescomplemented
65#2065C2214yescomplemented
66#2056C2214yescomplemented
67#2055C2214yescomplemented
68#2042C2214yescomplemented
69#2015C2214yescomplemented
70#1983C2214yescomplemented
71#1949C2214yescomplemented
72#1928C2214yescomplemented
73#1926C2214yescomplemented
74#1880C2214yescomplemented
75#1878C2214yescomplemented
76#1875C2214yes—
77#1874C2212yes—
78#1874C2212yes—
79#1873C2214yes—
80#1872C2212yescomplemented
81#1872C2212yescomplemented
82#1851C2214yes—
83#1851C2214yescomplemented
84#1805C2214yescomplemented
85#1797C2212yescomplemented
86#1797C2212yescomplemented
87#1736C2212yes—
88#1736C2212yescomplemented
89C23×Q8C2311yescharacteristic
90C23×Q8C2311yescharacteristic
91C23×D4—21no—
92C23×D4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C22×Q16C2314yes—
95C22×SD16C2314yes—
96C22×M16C2312yes—
97C22×M16C2312yes—
98C2×#124C2312yes—
99C2×#124C2312yes—
100C2×C22⋊Q8—21no—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—24no—
103C2×C22⋊Q8—21no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—24no—
107C2×C22⋊Q8D418yes—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2312yes—
112C2×#121—21no—
113C2×#121—21no—
114C2×#121—24no—
115C2×#121—24no—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×C4×Q8—22no—
119C2×C4×Q8—44no—
120C2×C4×Q8C2314yes—
121C2×#117—21no—
122C2×#117—21no—
123C2×#117—44no—
124C2×#117C2312yes—
125C2×#117C2312yes—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42—21no—
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#484—28no—
147#483—28no—
148#483—28no—
149#480—28no—
150#470—216no—
151#468—216no—
152#464—48no—
153#451—28no—
154#451—28no—
155#450—28no—
156#448—28no—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2314yes—
160C2×C4⋊C8C2314yes—
161#419—44no—
162#418—44no—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171#407—24no—
172#407—24no—
173C2×C22⋊C8C2312yes—
174C2×C22⋊C8C2312yes—
175C2×C22⋊C8C2312yes—
176C2×C22⋊C8C2312yes—
177#400—22no—
178#400—22no—
179#397—22no—
180#397—22no—
181#394—22no—
182#394—22no—
183#393—22no—
184#393—22no—
185#391—22no—
186#391C2314yes—
187#391C2312yes—
188#391C2312yes—
189#390C2312yes—
190#390C2312yes—
191#389—22no—
192#389C2314yes—
193#388—24no—
194#388—24no—
195#388—24no—
196#388—24no—
197#388—22no—
198#388—22no—
199#388—22no—
200#388—22no—
201#387—24no—
202#387—24no—
203#386—22no—
204#386—22no—
205#386—22no—
206#386—22no—
207#386—22no—
208#386—22no—
209#386—22no—
210#386—22no—
211#382C2312yes—
212#382C2312yes—
213#381—22no—
214#381—22no—
215#379—22no—
216#379—22no—
217C4×C4⋊C4—22no—
218C4×C4⋊C4—24no—
219C4×C4⋊C4—24no—
220C4×C4⋊C4C2314yes—
221C4×C22⋊C4D412yes—
222C4×C22⋊C4D412yes—
223C4×C22⋊C4C2312yes—
224C4×C22⋊C4C2312yes—
225C2×#95—21no—
226C2×#95—21no—
227C2×#95—21no—
228C2×#95—21no—
229C2×#95D411yescharacteristic
230C2×#95D411yescharacteristic
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#336C2314yes—
236#336C2314yes—
237C25—21no—
238C25C2×D411yescharacteristic
239C22×Q8—21no—
240C22×Q8—21no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8—22no—
244C22×Q8—42no—
245C22×Q8—42no—
246C22×Q8—42no—
247C22×Q8—42no—
248C22×Q8C2×D414yes—
249C22×Q8C2412yes—
250C22×Q8C2412yes—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—21no—
255C22×D4—22no—
256C22×D4—42no—
257C22×D4—42no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4—44no—
261C22×D4C2412yes—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—42no—
270C23×C4—42no—
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D414yes—
279C23×C4#4114yes—
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282C23×C4C2411yescharacteristic
283C2×Q16—28no—
284C2×Q16—44no—
285C2×Q16—44no—
286C2×SD16—28no—
287C2×SD16—44no—
288C2×SD16—44no—
289C2×M16—24no—
290C2×M16—24no—
291C2×M16—42no—
292C2×M16—42no—
293C2×M16—42no—
294C2×M16—42no—
295C22×C8C2414yes—
296C22×C8C2414yes—
297#124—44no—
298#124—44no—
299C22⋊Q8—28no—
300C22⋊Q8—28no—
301C22⋊Q8—24no—
302C22⋊Q8—24no—
303C22⋊Q8—24no—
304C22⋊Q8—24no—
305C22⋊Q8—24no—
306C22⋊Q8—24no—
307C22⋊Q8—44no—
308C22⋊Q8—44no—
309C22⋊Q8C2×D418yes—
310C22⋊Q8C2×D418yes—
311#121—24no—
312#121—24no—
313#121—24no—
314#121—24no—
315#121—44no—
316#121—44no—
317C4×Q8—28no—
318C4×Q8—44no—
319C4×Q8—48no—
320#117—24no—
321#117—24no—
322#117—42no—
323#117—42no—
324#117—44no—
325#117—44no—
326C2×C4⋊C4—28no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—42no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4C2×D414yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C22⋊C4—28no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—42no—
372C2×C22⋊C4—42no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—44no—
375C2×C22⋊C4—44no—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—24no—
383C2×C42—24no—
384C2×C42—42no—
385C2×C42—42no—
386C2×C42—44no—
387C2×C42—44no—
388C2×C42—44no—
389C2×C42C2×D412yes—
390C2×C42C2×D412yes—
391C2×C42C2412yes—
392C2×C42C2412yes—
393#107—28no—
394#106—28no—
395C4⋊C8—44no—
396C4⋊C8—44no—
397#103—28no—
398#103—28no—
399#103—28no—
400#103—28no—
401#103—44no—
402#102—28no—
403#102—28no—
404#102—44no—
405C22⋊C8—24no—
406C22⋊C8—24no—
407C22⋊C8—24no—
408C22⋊C8—24no—
409#95—24no—
410#95—24no—
411#95—24no—
412#95—24no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95C2×D412yes—
422#95C2×D412yes—
423#95C2×D412yes—
424#95C2×D412yes—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—41no—
429C24—41no—
430C24—41no—
431C24—41no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24—81no—
436C24—81no—
437C24—81no—
438C24—81no—
439C24#12114yes—
440C24C22×D411yescharacteristic
441C24C22×D411yescharacteristic
442C24C22×D411yescharacteristic
443C2×Q8—24no—
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—24no—
448C2×Q8—24no—
449C2×Q8—24no—
450C2×Q8—24no—
451C2×Q8—48no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×Q8—48no—
455C2×Q8—48no—
456C2×Q8—42no—
457C2×Q8—81no—
458C2×Q8—81no—
459C2×Q8—84no—
460C2×Q8C22×D414yes—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—24no—
464C2×D4—24no—
465C2×D4—48no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—42no—
473C2×D4—84no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4—816no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4#12114yes—
532C22×C4#12114yes—
533C22×C4#12114yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C2×#4112yes—
545C22×C4C2×#4112yes—
546C22×C4C2×#4112yes—
547C22×C4C2511yescharacteristic
548Q16—88no—
549SD16—88no—
550M16—84no—
551M16—84no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8—24no—
558C4⋊C4—24no—
559C4⋊C4—28no—
560C4⋊C4—28no—
561C4⋊C4—24no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—48no—
571C4⋊C4—48no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4C22×D414yes—
578C4⋊C4H(5,𝔽2)14yes—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C42—24no—
600C42—24no—
601C42—42no—
602C42—42no—
603C42—44no—
604C42—44no—
605C42—48no—
606C42—48no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—28no—
624C23—44no—
625C23—44no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—82no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—162no—
641C23—162no—
642C23—162no—
643C23—162no—
644C23C2×#12112yes—
645C23C2×#12112yes—
646C23C2×#12112yes—
647C23#57512yes—
648C23#57512yes—
649C23C23×D411yescharacteristic
650Q8—28no—
651Q8—48no—
652Q8—44no—
653Q8—44no—
654Q8—44no—
655Q8—84no—
656D4—44no—
657D4—44no—
658D4—84no—
659D4—88no—
660D4—88no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—48no—
693C2×C4—44no—
694C2×C4—48no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—48no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—82no—
715C2×C4—82no—
716C2×C4—84no—
717C2×C4—84no—
718C2×C4—84no—
719C2×C4—84no—
720C2×C4C2×#12112yes—
721C2×C4C2×#12112yes—
722C2×C4C2×#12112yes—
723C2×C4C23×D411yescharacteristic
724C2×C4C22×#4111yescharacteristic
725C2×C4C2×H(5,𝔽2)12yes—
726C2×C4#58512yes—
727C8—44no—
728C8—44no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—88no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—168no—
758C22#304014yes—
759C22C22×#12111yescharacteristic
760C22#348411yescharacteristic
761C22#348511yescharacteristic
762C22C2×#57511yescharacteristic
763C22C2×#57511yescharacteristic
764C22#358611yescharacteristic
765C22#358611yescharacteristic
766C4—22no—
767C4—22no—
768C4—22no—
769C4—42no—
770C4—42no—
771C4—42no—
772C4—44no—
773C4—42no—
774C4—44no—
775C4—44no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4#345912yes—
781C4#349612yes—
782C2—24no—
783C2—42no—
784C2—42no—
785C2—162no—
786C2#3498411yescharacteristic
787C2C2×#304011yescharacteristic
788C2#6042411yescharacteristic
789C2#6157511yescharacteristic
790C2#6158311yescharacteristic
791C2#6171211yescharacteristic
792C2#6171611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3195C2semidirect
4. C2×#2362C2semidirect
5. #33111C2semidirect
6. #32909C2semidirect
7. #29760C2semidirect
8. #29719C2semidirect
9. #25231C2semidirect
10. #25229C2semidirect
11. #25107C2semidirect
12. #25105C2semidirect
13. #21934C2semidirect
15. #20911C2semidirect
19. C22×C4×Q8C22semidirect
24. C2×#483C22semidirect
25. C2×#483C22semidirect
29. C2×#464C22semidirect
30. C2×#451C22semidirect
31. C2×#451C22semidirect
34. C2×#419C22semidirect
51. #2362C22semidirect
54. C2×#391C22semidirect
55. C2×#389C22semidirect
60. C2×C4×C4⋊C4C22semidirect
62. #2085C22semidirect
63. #2074C22semidirect
64. #2068C22semidirect
65. #2065C22semidirect
66. #2056C22semidirect
67. #2055C22semidirect
68. #2042C22semidirect
69. #2015C22semidirect
70. #1983C22semidirect
71. #1949C22semidirect
72. #1928C22semidirect
73. #1926C22semidirect
74. #1880C22semidirect
75. #1878C22semidirect
80. #1872C22semidirect
81. #1872C22semidirect
83. #1851C22semidirect
84. #1805C22semidirect
85. #1797C22semidirect
86. #1797C22semidirect
88. #1736C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31952
C2×#31932
#350192
C2×#23622
#331112
#329092
#297602
#297192
#252312
#252292
#251072
#251052
#219342
#209122
#209112