Finite Group Databasebeta

← #6529816

Subgroups — #6529816

Order 512.

2109 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3105C211yesmaximal, characteristic
2C2×#2984C211yesmaximal, characteristic, complemented
3#35247C211yesmaximal, characteristic, complemented
4C2×#2538C211yesmaximal, characteristic, complemented
5#28273C212yesmaximal, complemented
6#28264C212yesmaximal, complemented
7#28195C212yesmaximal, complemented
8#28185C212yesmaximal, complemented
9#25486C214yesmaximal, complemented
10#25309C214yesmaximal, complemented
11#24606C212yesmaximal, complemented
12#24603C212yesmaximal, complemented
13#24506C212yesmaximal
14#24501C212yesmaximal, complemented
15#21981C211yesmaximal, characteristic, complemented
16#21867C211yesmaximal, characteristic, complemented
17#20738C211yesmaximal, characteristic, complemented
18C2×#529C2211yescharacteristic
19C22×C22⋊Q8—21no—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3105—28no—
23C2×#484C2211yescharacteristic
24C2×#481C2211yescharacteristic
25C2×#478C2212yes—
26C2×#463C2212yes—
27C2×#450C2211yescharacteristic
28C2×#447C2211yescharacteristic
29#2984—28no—
30C2×#446C2212yescomplemented
31C2×#446C2214yescomplemented
32C2×C8×Q8C2212yescomplemented
33C2×C4×SD16C2212yes—
34C2×C4×D8C2212yes—
35C2×#432C2211yescharacteristic
36C2×#432C2212yes—
37C2×#431C2212yes—
38C2×#431C2211yescharacteristic
39#2855C2212yes—
40#2854C2212yes—
41#2637—22no—
42#2592C2212yescomplemented
43#2584C2212yescomplemented
44#2582C2211yescharacteristic, complemented
45#2582C2211yescharacteristic, complemented
46#2538—21no—
47#2538—21no—
48#2538—22no—
49#2538C2212yes—
50#2538C2212yes—
51#2538C2214yes—
52#2538C2211yescharacteristic, complemented
53#2538C2211yescharacteristic, complemented
54#2486—21no—
55#2413—22no—
56#2409—21no—
57C2×#396—22no—
58#2323—21no—
59#2323—21no—
60C2×#390C2212yes—
61C2×#389C2212yes—
62#2285C2211yescharacteristic
63C2×#384C2211yescharacteristic
64C2×#380—21no—
65#2088C2214yescomplemented
66#2086C2214yescomplemented
67#2066C2214yescomplemented
68#2065C2214yes—
69#2065C2214yes—
70#2065C2214yescomplemented
71#2055C2214yes—
72#2054C2214yes—
73#1992C2212yescomplemented
74#1972C2214yes—
75#1968C2214yes—
76#1959C2212yescomplemented
77#1948C2214yescomplemented
78#1944C2214yescomplemented
79#1941C2214yescomplemented
80#1936C2214yes—
81#1935C2214yescomplemented
82#1934C2214yes—
83#1934C2214yescomplemented
84#1874C2212yes—
85#1872C2212yes—
86#1853C2212yes—
87#1853C2212yes—
88#1844C2212yescomplemented
89#1834C2212yescomplemented
90#1824C2212yes—
91#1803C2212yescomplemented
92#1802C2212yes—
93#1802C2212yes—
94#1802C2212yescomplemented
95#1786C2212yes—
96#1762C2214yes—
97C23×Q8D411yescharacteristic
98C23×D4C2311yescharacteristic
99C24×C4—21no—
100C22×SD16C2312yes—
101C22×D8C2312yes—
102#529—24no—
103#529—24no—
104C2×#126—21no—
105C2×#125C2311yescharacteristic
106C2×#124C2311yescharacteristic
107C2×#123—21no—
108C2×#123—22no—
109C2×C22⋊Q8—21no—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—24no—
113C2×C22⋊Q8—22no—
114C2×C22⋊Q8—48no—
115C2×C22⋊Q8C2311yescharacteristic
116C2×#121C2311yescharacteristic
117C2×C4×Q8—24no—
118C2×C4×Q8—24no—
119C2×C4×Q8D411yescharacteristic
120C2×C4×Q8D411yescharacteristic
121C2×C4×Q8D412yes—
122C2×C4×Q8C2311yescharacteristic
123C2×C4×Q8C2311yescharacteristic
124C2×C4×Q8C2311yescharacteristic
125C2×C4×Q8C2312yes—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—24no—
130C2×C4×D4—24no—
131C2×C4×D4C2312yes—
132C2×C4×D4C2312yes—
133C2×C4×D4C2311yescharacteristic
134C2×#117—21no—
135C2×#117—21no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4D412yes—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2312yes—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C42C2312yes—
147C22×C42C2311yescharacteristic
148#484—24no—
149#481—24no—
150#478—28no—
151#463—28no—
152#450—24no—
153#447—24no—
154#446—216no—
155#446—28no—
156C8×Q8—28no—
157C4×SD16—28no—
158C4×D8—28no—
159#432—24no—
160#432—28no—
161#431—28no—
162#431D418yes—
163C2×#107C2312yes—
164C2×#106C2312yes—
165C2×#106C2314yes—
166C2×#106C2314yes—
167C2×C4⋊C8C2314yes—
168C2×C4⋊C8C2314yes—
169C2×C4⋊C8C2312yes—
170C2×C4⋊C8C2312yes—
171C2×#103C2312yes—
172C2×#103C2314yes—
173C2×#102C2312yes—
174C2×#102C2312yes—
175C2×#102C2314yes—
176C2×#102C2312yes—
177C2×#102C2314yes—
178C2×#102C2314yes—
179C2×C22⋊C8C2312yes—
180C2×C22⋊C8C2311yescharacteristic
181C2×C22⋊C8C2311yescharacteristic
182C2×#97C2314yes—
183C2×#97C2312yes—
184C2×C4×C8C2314yes—
185C2×C4×C8C2312yes—
186#398—22no—
187#398—22no—
188#398—22no—
189#397—22no—
190#396—22no—
191#396—22no—
192#396—24no—
193#396—24no—
194#396—24no—
195#396—24no—
196#395—22no—
197#393—22no—
198#391—21no—
199#391—21no—
200#391C2312yes—
201#391C2312yes—
202#390—22no—
203#390—22no—
204#390C2312yes—
205#390C2314yes—
206#390C2314yes—
207#390C2312yes—
208#389—21no—
209#389—21no—
210#389—22no—
211#389—22no—
212#389—22no—
213#389—22no—
214#389C2312yes—
215#389C2312yes—
216#389C2314yes—
217#389C2314yes—
218#389C2312yes—
219#389C2312yes—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#387—22no—
225#387—22no—
226#386—22no—
227#385—22no—
228#384—21no—
229#384—21no—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2312yes—
233#384C2312yes—
234#382—21no—
235#381—22no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—22no—
240#380—22no—
241#380—24no—
242#380C2312yes—
243C4×C4⋊C4—21no—
244C4×C4⋊C4C2312yes—
245C2×#95—22no—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252C25—21no—
253C22×Q8—24no—
254C22×Q8—24no—
255C22×Q8—42no—
256C22×Q8C2×D411yescharacteristic
257C22×Q8C2×D412yes—
258C22×Q8C2×D411yescharacteristic
259C22×Q8C2411yescharacteristic
260C22×D4—24no—
261C22×D4—21no—
262C22×D4—21no—
263C22×D4—22no—
264C22×D4—22no—
265C22×D4—42no—
266C22×D4C2411yescharacteristic
267C22×D4C2412yes—
268C23×C4—22no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2411yescharacteristic
281C2×SD16—24no—
282C2×SD16—24no—
283C2×SD16—42no—
284C2×D8—24no—
285C2×D8—24no—
286C2×D8—42no—
287C22×C8C2414yes—
288C22×C8C2412yes—
289C22×C8C2412yes—
290#126—44no—
291#125—22no—
292#125—22no—
293#124—22no—
294#124—22no—
295#123—44no—
296#123—84no—
297C22⋊Q8—22no—
298C22⋊Q8—22no—
299C22⋊Q8—44no—
300C22⋊Q8—48no—
301C22⋊Q8—416no—
302C22⋊Q8—44no—
303C22⋊Q8—48no—
304#121—22no—
305#121—22no—
306C4×Q8—24no—
307C4×Q8—24no—
308C4×Q8—28no—
309C4×Q8—22no—
310C4×Q8—24no—
311C4×Q8—22no—
312C4×Q8—22no—
313C4×Q8—22no—
314C4×Q8—24no—
315C4×Q8—22no—
316C4×Q8—22no—
317C4×D4—24no—
318C4×D4—24no—
319C4×D4—22no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—22no—
323C4×D4—44no—
324C4×D4—44no—
325C4×D4—44no—
326#117—44no—
327#117—82no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—28no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4—48no—
355C2×C4⋊C4—82no—
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2×D412yes—
359C2×C4⋊C4C2×D412yes—
360C2×C4⋊C4C2×D412yes—
361C2×C4⋊C4C2×D412yes—
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2414yes—
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2411yescharacteristic
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—48no—
386C2×C22⋊C4—44no—
387C2×C22⋊C4—84no—
388C2×C42—24no—
389C2×C42—24no—
390C2×C42—21no—
391C2×C42—22no—
392C2×C42C2×D412yes—
393C2×C42C2×D412yes—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D414yes—
397C2×C42#4114yes—
398C2×C42C2412yes—
399C2×C42C2412yes—
400C2×C42C2411yescharacteristic
401C2×C42C2411yescharacteristic
402#107—24no—
403#106—24no—
404#106—44no—
405#106—44no—
406C4⋊C8—28no—
407C4⋊C8—28no—
408C4⋊C8—24no—
409C4⋊C8C2×D418yes—
410#103—24no—
411#103—44no—
412#102—28no—
413#102—24no—
414#102—24no—
415#102—24no—
416#102—44no—
417#102—44no—
418C22⋊C8—24no—
419C22⋊C8C2×D414yes—
420C22⋊C8C2×D414yes—
421#97—28no—
422#97—24no—
423C4×C8—28no—
424C4×C8C2×D418yes—
425#95—24no—
426#95—24no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437C24—24no—
438C24—22no—
439C24—21no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24C22×D411yescharacteristic
447C2×Q8—22no—
448C2×Q8—24no—
449C2×Q8—22no—
450C2×Q8—24no—
451C2×Q8—22no—
452C2×Q8—22no—
453C2×Q8—22no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—22no—
457C2×Q8—22no—
458C2×Q8—42no—
459C2×Q8—416no—
460C2×Q8AGL(1,ℤ/8)14yes—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—21no—
464C2×D4—22no—
465C2×D4—21no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—48no—
472C2×D4—48no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D42−1+414yes—
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—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—42no—
502C22×C4—44no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—816no—
514C22×C4#12114yes—
515C22×C4#12114yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C2×#4112yes—
527C22×C4C2511yescharacteristic
528SD16—48no—
529D8—48no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8C22×D414yes—
538C2×C8C22×D414yes—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—48no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4—81no—
573C4⋊C4—81no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C22⋊C4—48no—
577C22⋊C4—44no—
578C22⋊C4—42no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—48no—
587C22⋊C4—44no—
588C22⋊C4—84no—
589C22⋊C4—84no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C42—24no—
593C42—24no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—42no—
599C42—82no—
600C42#12114yes—
601C42#12114yes—
602C42C22×D412yes—
603C42C22×D412yes—
604C42C2×#4112yes—
605C42C2×#4112yes—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—24no—
611C23—48no—
612C23—48no—
613C23—48no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23C2×#12112yes—
632C23#57712yes—
633C23#57712yes—
634C23C23×D411yescharacteristic
635Q8—28no—
636Q8—48no—
637Q8—44no—
638Q8—42no—
639Q8—42no—
640D4—24no—
641D4—24no—
642D4—48no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—84no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—28no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—28no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—48no—
672C2×C4—48no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—88no—
695C2×C4—88no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—88no—
699C2×C4C2×#12112yes—
700C2×C4C2×#12112yes—
701C2×C4C2×#12112yes—
702C2×C4C2×#12112yes—
703C2×C4C2×#12112yes—
704C2×C4C2×AGL(1,ℤ/8)14yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4#57512yes—
707C2×C4C23×D411yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C2×2−1+412yes—
710C2×C4#58512yes—
711C8—24no—
712C8—24no—
713C8—44no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—816no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22#306014yes—
736C22C22×#12111yescharacteristic
737C22#348611yescharacteristic
738C22#348711yescharacteristic
739C22C22×AGL(1,ℤ/8)11yescharacteristic
740C22C2×#57511yescharacteristic
741C22C2×#57711yescharacteristic
742C22C2×#57711yescharacteristic
743C4—22no—
744C4—24no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—42no—
749C4—42no—
750C4—42no—
751C4—81no—
752C4—82no—
753C4—81no—
754C4—81no—
755C4—82no—
756C4—82no—
757C4—84no—
758C4#305514yes—
759C4#348912yes—
760C4#349512yes—
761C2—24no—
762C2—84no—
763C2—161no—
764C2#3566111yescharacteristic
765C2C2×#305511yescharacteristic
766C2C2×#306011yescharacteristic
767C2#6184111yescharacteristic
768C2#6184311yescharacteristic
769C2#6189911yescharacteristic
770C2#6190111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#447C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2984C2semidirect
3. #35247C2semidirect
4. C2×#2538C2semidirect
5. #28273C2semidirect
6. #28264C2semidirect
7. #28195C2semidirect
8. #28185C2semidirect
9. #25486C2semidirect
10. #25309C2semidirect
11. #24606C2semidirect
12. #24603C2semidirect
14. #24501C2semidirect
15. #21981C2semidirect
16. #21867C2semidirect
17. #20738C2semidirect
30. C2×#446C22semidirect
31. C2×#446C22semidirect
32. C2×C8×Q8C22semidirect
42. #2592C22semidirect
43. #2584C22semidirect
44. #2582C22semidirect
45. #2582C22semidirect
52. #2538C22semidirect
53. #2538C22semidirect
65. #2088C22semidirect
66. #2086C22semidirect
67. #2066C22semidirect
70. #2065C22semidirect
73. #1992C22semidirect
76. #1959C22semidirect
77. #1948C22semidirect
78. #1944C22semidirect
79. #1941C22semidirect
81. #1935C22semidirect
83. #1934C22semidirect
88. #1844C22semidirect
89. #1834C22semidirect
91. #1803C22semidirect
94. #1802C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31052
C2×#29842
#352472
C2×#25382
#282732
#282642
#281952
#281852
#254862
#253092
#246062
#246032
#245062
#245012
#219812
#218672
#207382