Finite Group Databasebeta

← #6502789

Subgroups — #6502789

Order 512.

2190 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3195C211yesmaximal, characteristic, complemented
2C2×#2975C211yesmaximal, characteristic
3#35010C211yesmaximal, characteristic
4C2×#2415C211yesmaximal, characteristic
5#28568C214yesmaximal, complemented
6#25262C214yesmaximal, complemented
7#25134C214yesmaximal, complemented
8#24793C214yesmaximal, complemented
9#24601C212yesmaximal, complemented
10#24559C212yesmaximal, complemented
11#24502C212yesmaximal, complemented
12#24386C212yesmaximal, complemented
13#21765C211yesmaximal, characteristic, complemented
14#20911C211yesmaximal, characteristic, complemented
15#20846C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C22×#117C2211yescharacteristic
21#3195—28no—
22C2×#483C2212yes—
23C2×#483C2212yescomplemented
24C2×#470C2214yescomplemented
25C2×#470C2214yescomplemented
26C2×#451C2212yes—
27C2×#451C2212yescomplemented
28#2975—28no—
29C2×#436C2214yes—
30C2×#436C2214yes—
31C2×#431C2212yes—
32C2×#428C2212yescomplemented
33C2×#419C2212yescomplemented
34C2×#407C2211yescharacteristic
35C2×#407C2212yes—
36C2×#407C2211yescharacteristic
37#2855C2212yes—
38#2848C2212yes—
39#2627—21no—
40#2626—21no—
41#2579—22no—
42#2564—22no—
43#2487C2212yes—
44#2417C2212yes—
45#2417C2212yes—
46#2415—22no—
47#2415—22no—
48#2415C2214yes—
49#2415C2214yes—
50#2409C2212yes—
51C2×#397—21no—
52C2×#394—21no—
53#2315—21no—
54#2308—21no—
55C2×#391C2211yescharacteristic
56C2×#389—21no—
57C2×#389C2211yescharacteristic
58C2×#388—21no—
59C2×#380C2211yescharacteristic
60C2×#380C2211yescharacteristic
61#2088C2214yescomplemented
62#2077C2214yescomplemented
63#2068C2214yescomplemented
64#2066C2214yescomplemented
65#2056C2214yescomplemented
66#2036C2214yescomplemented
67#2035C2214yescomplemented
68#2001C2214yescomplemented
69#1969C2214yescomplemented
70#1941C2214yescomplemented
71#1933C2214yescomplemented
72#1933C2214yescomplemented
73#1894C2214yescomplemented
74#1894C2214yescomplemented
75#1894C2214yescomplemented
76#1873C2214yescomplemented
77#1872C2212yes—
78#1872C2212yes—
79#1872C2212yescomplemented
80#1872C2212yescomplemented
81#1854C2214yescomplemented
82#1853C2212yes—
83#1852C2212yes—
84#1823C2212yes—
85#1809C2214yescomplemented
86#1787C2212yes—
87#1736C2212yescomplemented
88#1736C2212yescomplemented
89C23×Q8C2311yescharacteristic
90C23×Q8C2311yescharacteristic
91C23×D4D411yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C22×Q16C2314yes—
95C22×M16C2314yes—
96C22×M16C2312yes—
97C22×M16C2312yes—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—21no—
100C2×C22⋊Q8—22no—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8—24no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—24no—
107C2×C22⋊Q8—44no—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2314yes—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2312yes—
115C2×C4×D4—24no—
116C2×C4×D4—24no—
117C2×C4×D4D412yes—
118C2×C4×D4D412yes—
119C2×C4×D4C2312yes—
120C2×C4×D4C2312yes—
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⋊C4D411yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4D411yescharacteristic
144C22×C22⋊C4D411yescharacteristic
145C22×C42—21no—
146C22×C42C2311yescharacteristic
147#483—28no—
148#483—28no—
149#470—216no—
150#470—48no—
151#451—28no—
152#451—28no—
153#436—216no—
154#436—216no—
155#431—28no—
156#428—44no—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×#106C2314yes—
160C2×C4⋊C8C2314yes—
161#419—44no—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168#407—24no—
169#407—28no—
170#407D418yes—
171C2×C22⋊C8C2314yes—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2312yes—
174C2×C22⋊C8C2312yes—
175C2×C22⋊C8C2312yes—
176C2×C4×C8C2314yes—
177#400—22no—
178#399—22no—
179#398—22no—
180#398—22no—
181#397—24no—
182#397—24no—
183#396—22no—
184#396—22no—
185#395—22no—
186#394—24no—
187#394—24no—
188#393—22no—
189#391—22no—
190#391C2312yes—
191#391C2314yes—
192#391C2312yes—
193#389—24no—
194#389—24no—
195#389—22no—
196#389C2314yes—
197#389C2312yes—
198#389C2312yes—
199#388—24no—
200#388—24no—
201#387—22no—
202#387—22no—
203#386—22no—
204#386—22no—
205#386—22no—
206#386—22no—
207#385—22no—
208#385—22no—
209#385—22no—
210#385—22no—
211#385—22no—
212#385—22no—
213#381—22no—
214#380—21no—
215#380—21no—
216#380—22no—
217#380—22no—
218#380—22no—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2312yes—
223#380C2312yes—
224#379—22no—
225C2×#95—21no—
226C2×#95—21no—
227C2×#95—21no—
228C2×#95—21no—
229C2×#95—21no—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236C25C2×D411yescharacteristic
237C25C2×D411yescharacteristic
238C22×Q8—21no—
239C22×Q8—21no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8—22no—
244C22×Q8—42no—
245C22×Q8—42no—
246C22×Q8—42no—
247C22×Q8—42no—
248C22×Q8C2412yes—
249C22×Q8C2412yes—
250C22×D4—24no—
251C22×D4—24no—
252C22×D4—42no—
253C22×D4C2×D412yes—
254C22×D4C2×D412yes—
255C23×C4—21no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—42no—
266C23×C4—42no—
267C23×C4—42no—
268C23×C4—42no—
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D412yes—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D414yes—
277C23×C4#4114yes—
278C23×C4C2412yes—
279C23×C4C2411yescharacteristic
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282C2×Q16—28no—
283C2×Q16—44no—
284C2×Q16—44no—
285C2×M16—24no—
286C2×M16—28no—
287C2×M16—42no—
288C2×M16—42no—
289C2×M16—44no—
290C2×M16—42no—
291C2×M16—42no—
292C2×M16—44no—
293C2×M16C2×D418yes—
294C22×C8C2414yes—
295C22×C8C2414yes—
296C22⋊Q8—24no—
297C22⋊Q8—24no—
298C22⋊Q8—24no—
299C22⋊Q8—24no—
300C22⋊Q8—24no—
301C22⋊Q8—24no—
302C22⋊Q8—24no—
303C22⋊Q8—24no—
304C22⋊Q8—28no—
305C22⋊Q8—44no—
306C22⋊Q8—48no—
307C22⋊Q8—44no—
308C22⋊Q8—44no—
309C22⋊Q8—44no—
310C22⋊Q8—44no—
311C22⋊Q8—44no—
312C22⋊Q8—44no—
313C4×D4—28no—
314C4×D4—28no—
315C4×D4—24no—
316C4×D4—24no—
317C4×D4—24no—
318C4×D4—24no—
319#117—24no—
320#117—24no—
321#117—42no—
322#117—42no—
323#117—44no—
324#117—44no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—42no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4C2×D412yes—
355C2×C4⋊C4C2×D412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—44no—
381C2×C22⋊C4—44no—
382C2×C22⋊C4—44no—
383C2×C22⋊C4—44no—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C22⋊C4C2×D412yes—
387C2×C22⋊C4C2×D412yes—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—44no—
393C2×C42C2×D412yes—
394C2×C42C2412yes—
395#107—44no—
396#106—28no—
397#106—28no—
398C4⋊C8—28no—
399#103—28no—
400#103—28no—
401#103—28no—
402#103—44no—
403#103—44no—
404#103—44no—
405C22⋊C8—24no—
406C22⋊C8—24no—
407C22⋊C8—28no—
408C22⋊C8C2×D418yes—
409C22⋊C8C2×D418yes—
410C4×C8—28no—
411#95—22no—
412#95—24no—
413#95—22no—
414#95—24no—
415#95—24no—
416#95—24no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24—22no—
430C24—41no—
431C24—41no—
432C24—41no—
433C24—41no—
434C24—41no—
435C24—41no—
436C24—41no—
437C24—41no—
438C24#12114yes—
439C24C22×D412yes—
440C24C22×D411yescharacteristic
441C24C22×D411yescharacteristic
442C24C22×D411yescharacteristic
443C2×Q8—22no—
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—24no—
448C2×Q8—24no—
449C2×Q8—24no—
450C2×Q8—24no—
451C2×Q8—42no—
452C2×Q8—42no—
453C2×Q8—48no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—81no—
457C2×Q8—81no—
458C2×Q8—84no—
459C2×Q8—84no—
460C2×Q8—84no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—24no—
464C2×D4—24no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—416no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—42no—
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—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—84no—
522C22×C4—84no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4#12114yes—
532C22×C4#12114yes—
533C22×C4#12114yes—
534C22×C4#13714yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C2×#4112yes—
545C22×C4C2×#4112yes—
546C22×C4C2×#4112yes—
547C22×C4C2511yescharacteristic
548Q16—88no—
549M16—48no—
550M16—88no—
551M16—84no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8C22×D418yes—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—24no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—48no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—48no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—81no—
582C4⋊C4—81no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4H(5,𝔽2)14yes—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—24no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—48no—
593C22⋊C4—44no—
594C22⋊C4—48no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C42—24no—
605C42—22no—
606C42—22no—
607C42—44no—
608C42—44no—
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—21no—
624C23—21no—
625C23—28no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—82no—
639C23—82no—
640C23—82no—
641C23—82no—
642C23—82no—
643C23—82no—
644C23—82no—
645C23—82no—
646C23C2×#12112yes—
647C23C2×#12112yes—
648C23C2×#12112yes—
649C23C2×#13712yes—
650C23#57512yes—
651C23C23×D411yescharacteristic
652Q8—44no—
653Q8—44no—
654Q8—44no—
655Q8—44no—
656Q8—84no—
657Q8—84no—
658D4—48no—
659D4—48no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—28no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—48no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
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—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—84no—
712C2×C4—82no—
713C2×C4—82no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4—84no—
718C2×C4—84no—
719C2×C4—162no—
720C2×C4—162no—
721C2×C4C2×#12112yes—
722C2×C4C2×#12112yes—
723C2×C4C2×#12112yes—
724C2×C4C2×#13714yes—
725C2×C4C23×D411yescharacteristic
726C2×C4C22×#4111yescharacteristic
727C2×C4C2×H(5,𝔽2)12yes—
728C2×C4#58512yes—
729C8—28no—
730C8—44no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22—88no—
759C22—88no—
760C22#305614yes—
761C22C22×#12111yescharacteristic
762C22#348411yescharacteristic
763C22#348511yescharacteristic
764C22C22×#13711yescharacteristic
765C22C2×#57511yescharacteristic
766C22#358611yescharacteristic
767C22#358611yescharacteristic
768C4—24no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—42no—
773C4—42no—
774C4—44no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4#349612yes—
783C4#350512yes—
784C2—24no—
785C2—42no—
786C2—42no—
787C2—82no—
788C2#3535811yescharacteristic
789C2C2×#305611yescharacteristic
790C2#6045511yescharacteristic
791C2#6158311yescharacteristic
792C2#6158611yescharacteristic
793C2#6171611yescharacteristic
794C2#6172311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
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
1. C2×#3195C2semidirect
5. #28568C2semidirect
6. #25262C2semidirect
7. #25134C2semidirect
8. #24793C2semidirect
9. #24601C2semidirect
10. #24559C2semidirect
11. #24502C2semidirect
12. #24386C2semidirect
13. #21765C2semidirect
14. #20911C2semidirect
15. #20846C2semidirect
23. C2×#483C22semidirect
24. C2×#470C22semidirect
25. C2×#470C22semidirect
27. C2×#451C22semidirect
32. C2×#428C22semidirect
33. C2×#419C22semidirect
61. #2088C22semidirect
62. #2077C22semidirect
63. #2068C22semidirect
64. #2066C22semidirect
65. #2056C22semidirect
66. #2036C22semidirect
67. #2035C22semidirect
68. #2001C22semidirect
69. #1969C22semidirect
70. #1941C22semidirect
71. #1933C22semidirect
72. #1933C22semidirect
73. #1894C22semidirect
74. #1894C22semidirect
75. #1894C22semidirect
76. #1873C22semidirect
79. #1872C22semidirect
80. #1872C22semidirect
81. #1854C22semidirect
85. #1809C22semidirect
87. #1736C22semidirect
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×#29752
#350102
C2×#24152
#285682
#252622
#251342
#247932
#246012
#245592
#245022
#243862
#217652
#209112
#208462