Finite Group Databasebeta

← #6508777

Subgroups — #6508777

Order 512.

2354 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3188C211yesmaximal, characteristic
2C2×#3092C211yesmaximal, characteristic, complemented
3C2×#2501C211yesmaximal, characteristic, complemented
4#34233C211yesmaximal, characteristic, complemented
5#28123C212yesmaximal, complemented
6#28117C212yesmaximal, complemented
7#27648C212yesmaximal, complemented
8#27645C212yesmaximal, complemented
9#25204C214yesmaximal, complemented
10#25200C214yesmaximal, complemented
11#24594C212yesmaximal, complemented
12#24592C212yesmaximal, complemented
13#24544C212yesmaximal, complemented
14#24542C212yesmaximal, complemented
15#21932C211yesmaximal, characteristic, complemented
16#21764C211yesmaximal, characteristic, complemented
17C2×#1824C211yesmaximal, characteristic, complemented
18C2×#525C2211yescharacteristic
19C22×#123—22no—
20C22×#121C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22#3188—28no—
23#3092—28no—
24C2×#484C2211yescharacteristic
25C2×#484C2212yes—
26C2×#481C2211yescharacteristic
27C2×#481C2212yes—
28C2×#482C2212yes—
29C2×#483C2212yescomplemented
30C2×#480C2212yescomplemented
31C2×#466C2212yes—
32C2×#465C2212yes—
33C2×#449C2212yes—
34C2×#450C2211yescharacteristic
35C2×#447C2211yescharacteristic
36C2×#428C2212yescomplemented
37C2×#417C2212yescomplemented
38C2×#407C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40#2501—21no—
41#2501—22no—
42#2501—21no—
43#2501C2212yes—
44#2501C2212yes—
45#2501C2214yes—
46C2×#399—21no—
47C2×#399—21no—
48#2361C2212yescomplemented
49#2360C2212yescomplemented
50#2358—22no—
51#2353—21no—
52#2349—21no—
53#2347C2211yescharacteristic, complemented
54#2346C2211yescharacteristic, complemented
55#2341C2211yescharacteristic, complemented
56#2339C2211yescharacteristic, complemented
57#2335—22no—
58#2318—21no—
59C4×C22⋊Q8C2212yes—
60C4×#121C2212yes—
61C2×#390C2212yes—
62C2×#384C2212yes—
63C2×#380C2211yescharacteristic
64#2275—21no—
65C2×C4×C22⋊C4C2211yescharacteristic
66#2084C2214yescomplemented
67#2083C2214yescomplemented
68#2072C2214yescomplemented
69#2071C2214yescomplemented
70#2067C2214yescomplemented
71#2065C2214yescomplemented
72#2055C2214yescomplemented
73#2054C2214yescomplemented
74#1948C2214yescomplemented
75#1947C2214yescomplemented
76#1926C2214yescomplemented
77#1925C2214yescomplemented
78#1895C2212yes—
79#1895C2212yes—
80#1880C2214yescomplemented
81#1879C2214yescomplemented
82#1874C2214yes—
83#1851C2212yescomplemented
84#1851C2212yescomplemented
85#1850C2214yescomplemented
86#1824C2212yes—
87#1824C2212yes—
88#1824C2212yes—
89#1824C2212yescomplemented
90#1824C2212yescomplemented
91#1803C2214yescomplemented
92#1802C2214yescomplemented
93#1797C2212yes—
94#1797C2212yes—
95#1786C2212yes—
96C2×#340C2214yescomplemented
97C22×#41C2311yescharacteristic
98C23×D4—21no—
99C23×D4C2311yescharacteristic
100C24×C4—21no—
101C24×C4C2311yescharacteristic
102C22×SD16C2312yes—
103C22×D8C2312yes—
104C22×M16C2312yes—
105C23×C8C2312yes—
106#525—24no—
107#525D418yes—
108C2×#123—21no—
109C2×#123—24no—
110C2×#123—24no—
111C2×#123—24no—
112C2×#123—24no—
113C2×#123—416no—
114C2×C22⋊Q8C2311yescharacteristic
115C2×C22⋊Q8C2311yescharacteristic
116C2×#121—21no—
117C2×#121—21no—
118C2×#121—24no—
119C2×#121—24no—
120C2×#121C2312yes—
121C2×#121C2312yes—
122C2×#121C2311yescharacteristic
123C2×#121C2311yescharacteristic
124C2×#120—21no—
125C2×C4×Q8C2312yes—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—22no—
129C2×C4×D4—22no—
130C2×C4×D4C2312yes—
131C2×#117C2311yescharacteristic
132C22×C4⋊C4—24no—
133C22×C4⋊C4—24no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—22no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2312yes—
143C22×C4⋊C4C2312yes—
144C22×C22⋊C4—21no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4—21no—
148C22×C22⋊C4D412yes—
149C22×C42C2312yes—
150#484—28no—
151#484—24no—
152#483—28no—
153#482—28no—
154#481—28no—
155#481—24no—
156#480—28no—
157#466—28no—
158#465—28no—
159#450—24no—
160#449—28no—
161#447—24no—
162#428—28no—
163C2×#107C2314yes—
164C2×#107C2312yes—
165C2×#106C2314yes—
166C2×#106C2312yes—
167C2×C4⋊C8C2314yes—
168C2×C4⋊C8C2314yes—
169#417—28no—
170C2×#103C2314yes—
171C2×#103C2312yes—
172C2×#102C2314yes—
173C2×#102C2312yes—
174C2×#102C2312yes—
175C2×#102C2312yes—
176C2×#102C2314yes—
177C2×#102C2314yes—
178#407—24no—
179C2×C22⋊C8—24no—
180C2×C22⋊C8C2312yes—
181C2×C22⋊C8C2311yescharacteristic
182C2×C22⋊C8C2311yescharacteristic
183C2×C22⋊C8C2312yes—
184C2×C22⋊C8C2312yes—
185#399—22no—
186#399—22no—
187#399—22no—
188#399—22no—
189#399—24no—
190#399—24no—
191#391C2312yes—
192#390—22no—
193#390—22no—
194#390—22no—
195#390C2312yes—
196#390C2314yes—
197#390C2314yes—
198#389—22no—
199#389C2312yes—
200#389C2312yes—
201#388—22no—
202#388—22no—
203#388—22no—
204#388—22no—
205#387—22no—
206#387—22no—
207#386—22no—
208#386—22no—
209#386—22no—
210#385—22no—
211#385—22no—
212#385—22no—
213#384—22no—
214#384—22no—
215#384C2314yes—
216#384C2314yes—
217#383—21no—
218#382—21no—
219#381—21no—
220#380—21no—
221#380—21no—
222#380—21no—
223#380C2312yes—
224#380C2311yescharacteristic
225#380C2311yescharacteristic
226C4×C4⋊C4—22no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4C2312yes—
229C4×C4⋊C4C2312yes—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—21no—
234C4×C22⋊C4D411yescharacteristic
235C4×C22⋊C4D412yes—
236C4×C22⋊C4D411yescharacteristic
237C4×C22⋊C4C2311yescharacteristic
238C4×C22⋊C4C2311yescharacteristic
239C4×C22⋊C4C2312yes—
240#376—21no—
241C2×#95—21no—
242C2×#95—21no—
243C2×#95D411yescharacteristic
244C2×#95D411yescharacteristic
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#336C2314yes—
252#336C2314yes—
253C25—21no—
254C25C2×D411yescharacteristic
255C2×#41—22no—
256C2×#41—44no—
257C2×#41C2×D414yes—
258C22×Q8C2411yescharacteristic
259C22×D4—21no—
260C22×D4—21no—
261C22×D4—21no—
262C22×D4—22no—
263C22×D4—22no—
264C22×D4—22no—
265C22×D4—21no—
266C22×D4—22no—
267C22×D4—44no—
268C22×D4—48no—
269C22×D4—44no—
270C22×D4C2412yes—
271C22×D4C2411yescharacteristic
272C23×C4—21no—
273C23×C4—22no—
274C23×C4—21no—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4—22no—
279C23×C4—44no—
280C23×C4—48no—
281C23×C4—44no—
282C23×C4C2×D412yes—
283C23×C4C2×D412yes—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D414yes—
288C23×C4#4114yes—
289C23×C4C2411yescharacteristic
290C23×C4C2411yescharacteristic
291C23×C4C2411yescharacteristic
292C2×SD16—24no—
293C2×SD16—44no—
294C2×D8—24no—
295C2×D8—44no—
296C2×M16—24no—
297C2×M16—44no—
298C22×C8—24no—
299C22×C8—44no—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2414yes—
303#123—28no—
304#123—416no—
305#123—416no—
306#123—416no—
307#123—416no—
308C22⋊Q8—22no—
309C22⋊Q8—22no—
310C22⋊Q8C2×D414yes—
311C22⋊Q8C2×D414yes—
312#121—22no—
313#121—22no—
314#121—24no—
315#121—24no—
316#121—24no—
317#121—24no—
318#121—44no—
319#121—44no—
320#121C2×D414yes—
321#121C2×D414yes—
322#120—28no—
323C4×Q8—44no—
324C4×D4—28no—
325C4×D4—28no—
326C4×D4—44no—
327C4×D4—48no—
328C4×D4—84no—
329#117—22no—
330#117C2×D414yes—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—24no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4—48no—
355C2×C4⋊C4—48no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2411yescharacteristic
364C2×C4⋊C4C2411yescharacteristic
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—28no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—48no—
384C2×C22⋊C4—48no—
385C2×C22⋊C4—44no—
386C2×C22⋊C4—82no—
387C2×C22⋊C4C2×D412yes—
388C2×C22⋊C4C2×D412yes—
389C2×C22⋊C4C2×D412yes—
390C2×C22⋊C4C2×D412yes—
391C2×C42—21no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—44no—
396C2×C42C2×D412yes—
397C2×C42C2×D412yes—
398C2×C42C2412yes—
399C2×C42C2412yes—
400#107—28no—
401#107—24no—
402#106—28no—
403#106—24no—
404C4⋊C8—44no—
405C4⋊C8—44no—
406#103—28no—
407#103—24no—
408#102—28no—
409#102—24no—
410#102—24no—
411#102—24no—
412#102—44no—
413#102—44no—
414C22⋊C8—22no—
415C22⋊C8—24no—
416C22⋊C8—22no—
417C22⋊C8—24no—
418C22⋊C8—24no—
419#95—21no—
420#95—21no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95C2×D411yescharacteristic
429#95C2×D411yescharacteristic
430#95C2×D411yescharacteristic
431#95C2×D411yescharacteristic
432#95C2×D412yes—
433#95C2×D412yes—
434C24—24no—
435C24—22no—
436C24—22no—
437C24—21no—
438C24—22no—
439C24—42no—
440C24—44no—
441C24—44no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24#12114yes—
446C24C22×D411yescharacteristic
447C24C22×D411yescharacteristic
448C24C22×D411yescharacteristic
449#41—48no—
450#41—84no—
451C2×Q8—21no—
452C2×Q8—24no—
453C2×Q8C22×D412yes—
454C2×D4—24no—
455C2×D4—24no—
456C2×D4—24no—
457C2×D4—22no—
458C2×D4—21no—
459C2×D4—22no—
460C2×D4—24no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—48no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—48no—
471C2×D4—42no—
472C2×D4—84no—
473C2×D4—84no—
474C2×D4—82no—
475C2×D4—816no—
476C2×D4C22×D412yes—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—48no—
503C22×C4—42no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—48no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4—816no—
516C22×C4#12114yes—
517C22×C4#12114yes—
518C22×C4#12114yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4C2511yescharacteristic
533SD16—84no—
534D8—84no—
535M16—48no—
536C2×C8—22no—
537C2×C8—24no—
538C2×C8—22no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—84no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—48no—
561C4⋊C4—48no—
562C4⋊C4—44no—
563C4⋊C4—82no—
564C4⋊C4—82no—
565C4⋊C4—82no—
566C4⋊C4C22×D412yes—
567C4⋊C4C22×D412yes—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—44no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—81no—
587C22⋊C4—81no—
588C22⋊C4AGL(1,ℤ/8)18yes—
589C42—24no—
590C42—24no—
591C42—24no—
592C42—42no—
593C42—42no—
594C42—44no—
595C42—82no—
596C42—82no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—28no—
604C23—28no—
605C23—22no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—44no—
610C23—48no—
611C23—48no—
612C23—42no—
613C23—42no—
614C23—41no—
615C23—41no—
616C23—42no—
617C23—44no—
618C23—44no—
619C23—42no—
620C23—42no—
621C23—84no—
622C23—84no—
623C23—88no—
624C23—88no—
625C23—84no—
626C23C2×#12112yes—
627C23C2×#12112yes—
628C23C2×#12112yes—
629C23C2×AGL(1,ℤ/8)14yes—
630C23#57712yes—
631C23#57812yes—
632C23C23×D411yescharacteristic
633Q8—24no—
634Q8—42no—
635D4—24no—
636D4—48no—
637D4—48no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—44no—
642D4—84no—
643D4—84no—
644D4—88no—
645D4—88no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—48no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—84no—
689C2×C4—88no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4—88no—
693C2×C4—164no—
694C2×C4—164no—
695C2×C4C2×#12112yes—
696C2×C4C2×#12112yes—
697C2×C4C2×#12112yes—
698C2×C4C2×AGL(1,ℤ/8)14yes—
699C2×C4C2×AGL(1,ℤ/8)14yes—
700C2×C4C23×D411yescharacteristic
701C2×C4C22×#4111yescharacteristic
702C2×C4#58514yes—
703C8—42no—
704C8—42no—
705C8—44no—
706C22—22no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—24no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—416no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—84no—
727C22—84no—
728C22—82no—
729C22—82no—
730C22—168no—
731C22#303814yes—
732C22#304614yes—
733C22C22×#12111yescharacteristic
734C22#348512yes—
735C22C22×AGL(1,ℤ/8)12yes—
736C22C2×#57711yescharacteristic
737C22C2×#57811yescharacteristic
738C4—24no—
739C4—24no—
740C4—22no—
741C4—22no—
742C4—22no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—42no—
747C4—42no—
748C4—82no—
749C4—82no—
750C4—84no—
751C4—82no—
752C4#348512yes—
753C4#349112yes—
754C2—24no—
755C2—24no—
756C2—42no—
757C2—82no—
758C2—162no—
759C2#3544711yescharacteristic
760C2C2×#303811yescharacteristic
761C2C2×#304611yescharacteristic
762C2#6172812yes—
763C2#6173712yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3188C2
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
2. C2×#3092C2semidirect
3. C2×#2501C2semidirect
4. #34233C2semidirect
5. #28123C2semidirect
6. #28117C2semidirect
7. #27648C2semidirect
8. #27645C2semidirect
9. #25204C2semidirect
10. #25200C2semidirect
11. #24594C2semidirect
12. #24592C2semidirect
13. #24544C2semidirect
14. #24542C2semidirect
15. #21932C2semidirect
16. #21764C2semidirect
17. C2×#1824C2semidirect
29. C2×#483C22semidirect
30. C2×#480C22semidirect
36. C2×#428C22semidirect
37. C2×#417C22semidirect
48. #2361C22semidirect
49. #2360C22semidirect
53. #2347C22semidirect
54. #2346C22semidirect
55. #2341C22semidirect
56. #2339C22semidirect
66. #2084C22semidirect
67. #2083C22semidirect
68. #2072C22semidirect
69. #2071C22semidirect
70. #2067C22semidirect
71. #2065C22semidirect
72. #2055C22semidirect
73. #2054C22semidirect
74. #1948C22semidirect
75. #1947C22semidirect
76. #1926C22semidirect
77. #1925C22semidirect
80. #1880C22semidirect
81. #1879C22semidirect
83. #1851C22semidirect
84. #1851C22semidirect
85. #1850C22semidirect
89. #1824C22semidirect
90. #1824C22semidirect
91. #1803C22semidirect
92. #1802C22semidirect
96. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31882
C2×#30922
C2×#25012
#342332
#281232
#281172
#276482
#276452
#252042
#252002
#245942
#245922
#245442
#245422
#219322
#217642
C2×#18242