Finite Group Databasebeta

← #6508812

Subgroups — #6508812

Order 512.

2224 conjugacy classes of subgroups.

The subgroup lattice has 809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3094C211yesmaximal, characteristic, complemented
2C2×#2973C211yesmaximal, characteristic, complemented
3#35000C211yesmaximal, characteristic
4C2×#2485C211yesmaximal, characteristic, complemented
5#28100C214yesmaximal, complemented
6#27669C214yesmaximal, complemented
7#25245C214yesmaximal, complemented
8#25243C214yesmaximal, complemented
9#24608C212yesmaximal, complemented
10#24607C212yesmaximal, complemented
11#24553C212yesmaximal, complemented
12#24550C212yesmaximal, complemented
13#21942C211yesmaximal, characteristic, complemented
14#21764C211yesmaximal, characteristic, complemented
15#20702C211yesmaximal, characteristic, complemented
16C2×#534—21no—
17C22×#121C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C22×#117C2211yescharacteristic
20#3094—28no—
21C2×#481C2212yes—
22C2×#482C2214yescomplemented
23C2×#480C2212yes—
24#2973—28no—
25C2×#435C2214yes—
26C2×#435C2214yescomplemented
27C2×#432C2212yescomplemented
28C2×#428C2212yescomplemented
29C2×#418C2212yescomplemented
30C2×#407C2211yescharacteristic
31C2×#407C2211yescharacteristic
32C22×C22⋊C8C2212yescomplemented
33#2854C2212yes—
34#2847C2212yes—
35#2618—21no—
36#2617—21no—
37#2543—22no—
38#2534—22no—
39#2486C2212yes—
40#2485—22no—
41#2485—22no—
42#2485C2214yes—
43#2485C2214yescomplemented
44#2416C2212yes—
45#2416C2212yes—
46#2408C2212yes—
47C2×#397—21no—
48C2×#394—21no—
49#2308—21no—
50C2×#389C2211yescharacteristic, complemented
51C2×#389C2211yescharacteristic, complemented
52C2×#388—21no—
53C2×#387—21no—
54C2×#380C2211yescharacteristic
55C2×#380C2211yescharacteristic
56C2×#380C2211yescharacteristic, complemented
57C2×#380C2211yescharacteristic, complemented
58#2088C2214yescomplemented
59#2087C2214yescomplemented
60#2077C2214yescomplemented
61#2075C2214yescomplemented
62#2067C2214yescomplemented
63#2065C2214yescomplemented
64#2034C2214yescomplemented
65#2033C2214yescomplemented
66#1944C2214yescomplemented
67#1943C2214yescomplemented
68#1936C2214yescomplemented
69#1936C2214yescomplemented
70#1895C2214yescomplemented
71#1893C2214yescomplemented
72#1893C2214yescomplemented
73#1874C2212yes—
74#1874C2212yes—
75#1853C2212yescomplemented
76#1853C2212yescomplemented
77#1852C2212yescomplemented
78#1852C2212yescomplemented
79#1825C2214yescomplemented
80#1824C2212yescomplemented
81#1824C2212yescomplemented
82#1823C2212yescomplemented
83#1809C2214yescomplemented
84#1808C2214yescomplemented
85#1807C2214yescomplemented
86#1786C2212yescomplemented
87#1736C2212yescomplemented
88#1736C2212yescomplemented
89C23×D4—21no—
90C23×D4D411yescharacteristic
91C23×D4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C22×M16C2312yes—
95C22×M16C2312yes—
96C23×C8C2314yes—
97#534—48no—
98C2×#123—22no—
99C2×#123—22no—
100C2×#121—22no—
101C2×#121—22no—
102C2×#121—21no—
103C2×#121—21no—
104C2×#121—24no—
105C2×#121—24no—
106C2×#121C2312yes—
107C2×#121C2312yes—
108C2×#121C2312yes—
109C2×#121C2312yes—
110C2×#120—22no—
111C2×#120—22no—
112C2×C4×D4—24no—
113C2×C4×D4—24no—
114C2×C4×D4D412yes—
115C2×C4×D4D412yes—
116C2×C4×D4C2312yes—
117C2×C4×D4C2312yes—
118C2×#117—21no—
119C2×#117—21no—
120C2×#117—24no—
121C2×#117—24no—
122C2×#117C2312yes—
123C2×#117C2312yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4D411yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4D411yescharacteristic
141C22×C22⋊C4D411yescharacteristic
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144#482—216no—
145#481—28no—
146#480—28no—
147#435—216no—
148#435—216no—
149#432—28no—
150#428—28no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2314yes—
156#418—28no—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161#407—24no—
162#407D418yescomplemented
163C2×C22⋊C8—28no—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×#97C2314yes—
170#398—22no—
171#397—22no—
172#397—24no—
173#397—24no—
174#396—22no—
175#396—22no—
176#394—24no—
177#394—24no—
178#394—22no—
179#394—22no—
180#394—22no—
181#392—22no—
182#390C2312yes—
183#390C2312yes—
184#389—22no—
185#389—22no—
186#389C2314yes—
187#389C2314yes—
188#389C2312yes—
189#389C2312yes—
190#388—24no—
191#388—24no—
192#388—22no—
193#388—22no—
194#387—24no—
195#387—24no—
196#386—22no—
197#386—22no—
198#386—22no—
199#386—22no—
200#386—22no—
201#386—22no—
202#381—22no—
203#380—21no—
204#380—21no—
205#380—21no—
206#380—22no—
207#380—22no—
208#380—21no—
209#380C2312yes—
210#380C2314yes—
211#380C2312yes—
212#380C2314yes—
213#380C2312yes—
214#380C2312yes—
215#380C2312yes—
216#380C2312yes—
217#379—22no—
218C2×#95—21no—
219C2×#95—21no—
220C2×#95—21no—
221C2×#95—21no—
222C2×#95—21no—
223C2×#95—21no—
224#340C2314yes—
225#340C2314yes—
226#340C2314yes—
227#340C2314yes—
228#340C2314yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232C25—21no—
233C25C2×D411yescharacteristic
234C25C2×D411yescharacteristic
235C22×D4—24no—
236C22×D4—24no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—21no—
243C22×D4—22no—
244C22×D4—42no—
245C22×D4—42no—
246C22×D4—42no—
247C22×D4—44no—
248C22×D4—44no—
249C22×D4—44no—
250C22×D4C2×D412yes—
251C22×D4C2×D412yes—
252C22×D4C2412yes—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4—42no—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D412yes—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D414yes—
274C23×C4#4114yes—
275C23×C4C2412yes—
276C23×C4C2411yescharacteristic
277C23×C4C2411yescharacteristic
278C23×C4C2411yescharacteristic
279C2×M16—24no—
280C2×M16—42no—
281C2×M16—42no—
282C2×M16—42no—
283C2×M16—42no—
284C2×M16C2×D418yes—
285C22×C8—28no—
286C22×C8—44no—
287C22×C8—44no—
288C22×C8C2414yes—
289C22×C8C2414yes—
290#123—48no—
291#123—48no—
292#121—24no—
293#121—24no—
294#121—24no—
295#121—24no—
296#121—48no—
297#121—48no—
298#121—44no—
299#121—44no—
300#121—44no—
301#121—44no—
302#120—48no—
303#120—48no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310#117—24no—
311#117—24no—
312#117—24no—
313#117—24no—
314#117—44no—
315#117—44no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—42no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—82no—
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2×D412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—24no—
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—24no—
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—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—82no—
374C2×C22⋊C4—82no—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—44no—
384C2×C42C2×D412yes—
385C2×C42C2412yes—
386#107—28no—
387#107—44no—
388#106—28no—
389#106—44no—
390C4⋊C8—28no—
391#102—28no—
392#102—28no—
393#102—44no—
394#102—44no—
395C22⋊C8—24no—
396C22⋊C8—24no—
397C22⋊C8—28no—
398C22⋊C8C2×D418yes—
399C22⋊C8C2×D418yes—
400#97—28no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—24no—
405#95—24no—
406#95—22no—
407#95—24no—
408#95—24no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—41no—
419C24—41no—
420C24—41no—
421C24—41no—
422C24—41no—
423C24—41no—
424C24—41no—
425C24—41no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—81no—
430C24—81no—
431C24—81no—
432C24—81no—
433C24#12114yes—
434C24AGL(1,ℤ/8)14yes—
435C24C22×D411yescharacteristic
436C24C22×D411yescharacteristic
437C24C22×D412yes—
438C24C22×D411yescharacteristic
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—24no—
446C2×D4—24no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—48no—
450C2×D4—416no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—42no—
460C2×D4—84no—
461C2×D4—81no—
462C2×D4—81no—
463C2×D4—82no—
464C2×D4—82no—
465C2×D4—82no—
466C2×D4—82no—
467C2×D4—816no—
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—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—42no—
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—42no—
522C22×C4—84no—
523C22×C4—84no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4#12114yes—
529C22×C4#12114yes—
530C22×C4#12114yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C2×#4112yes—
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4C2511yescharacteristic
544M16—48no—
545M16—84no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—88no—
552C2×C8C22×D418yes—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—48no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—81no—
574C4⋊C4—81no—
575C4⋊C4—84no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—48no—
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—84no—
597C22⋊C4—82no—
598C42—24no—
599C42—22no—
600C42—22no—
601C42—44no—
602C42—44no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—21no—
610C23—21no—
611C23—22no—
612C23—21no—
613C23—22no—
614C23—21no—
615C23—21no—
616C23—22no—
617C23—22no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—22no—
625C23—28no—
626C23—28no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—82no—
639C23—82no—
640C23—82no—
641C23—82no—
642C23—82no—
643C23—82no—
644C23—82no—
645C23—82no—
646C23—84no—
647C23—84no—
648C23—84no—
649C23—162no—
650C23—162no—
651C23—162no—
652C23—162no—
653C23C2×#12112yes—
654C23C2×#12112yes—
655C23C2×#12112yes—
656C23C2×AGL(1,ℤ/8)14yes—
657C23C2×AGL(1,ℤ/8)12yes—
658C23#57512yes—
659C23C23×D411yescharacteristic
660D4—48no—
661D4—48no—
662D4—44no—
663D4—44no—
664D4—84no—
665D4—88no—
666D4—88no—
667D4—164no—
668D4—164no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
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—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—84no—
718C2×C4—82no—
719C2×C4—82no—
720C2×C4—84no—
721C2×C4—84no—
722C2×C4—84no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4—162no—
726C2×C4—162no—
727C2×C4C2×#12112yes—
728C2×C4C2×#12112yes—
729C2×C4C2×#12112yes—
730C2×C4C23×D411yescharacteristic
731C2×C4C22×#4111yescharacteristic
732C2×C4#58512yes—
733C2×C4#58512yes—
734C8—28no—
735C8—44no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—24no—
743C22—24no—
744C22—22no—
745C22—22no—
746C22—24no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—42no—
757C22—41no—
758C22—41no—
759C22—42no—
760C22—41no—
761C22—42no—
762C22—42no—
763C22—88no—
764C22—88no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—168no—
773C22#305514yes—
774C22C22×#12111yescharacteristic
775C22#348511yescharacteristic
776C22#348511yescharacteristic
777C22C22×AGL(1,ℤ/8)11yescharacteristic
778C22C2×#57511yescharacteristic
779C22#358511yescharacteristic
780C22#358611yescharacteristic
781C4—22no—
782C4—22no—
783C4—22no—
784C4—42no—
785C4—42no—
786C4—42no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4#348512yes—
795C4#349112yes—
796C2—24no—
797C2—44no—
798C2—42no—
799C2—42no—
800C2—162no—
801C2#3544711yescharacteristic
802C2C2×#305511yescharacteristic
803C2#6045611yescharacteristic
804C2#6170411yescharacteristic
805C2#6170711yescharacteristic
806C2#6171011yescharacteristic
807C2#6171211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35000C2
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×#3094C2semidirect
2. C2×#2973C2semidirect
4. C2×#2485C2semidirect
5. #28100C2semidirect
6. #27669C2semidirect
7. #25245C2semidirect
8. #25243C2semidirect
9. #24608C2semidirect
10. #24607C2semidirect
11. #24553C2semidirect
12. #24550C2semidirect
13. #21942C2semidirect
14. #21764C2semidirect
15. #20702C2semidirect
22. C2×#482C22semidirect
26. C2×#435C22semidirect
27. C2×#432C22semidirect
28. C2×#428C22semidirect
29. C2×#418C22semidirect
32. C22×C22⋊C8C22semidirect
43. #2485C22semidirect
50. C2×#389C22semidirect
51. C2×#389C22semidirect
56. C2×#380C22semidirect
57. C2×#380C22semidirect
58. #2088C22semidirect
59. #2087C22semidirect
60. #2077C22semidirect
61. #2075C22semidirect
62. #2067C22semidirect
63. #2065C22semidirect
64. #2034C22semidirect
65. #2033C22semidirect
66. #1944C22semidirect
67. #1943C22semidirect
68. #1936C22semidirect
69. #1936C22semidirect
70. #1895C22semidirect
71. #1893C22semidirect
72. #1893C22semidirect
75. #1853C22semidirect
76. #1853C22semidirect
77. #1852C22semidirect
78. #1852C22semidirect
79. #1825C22semidirect
80. #1824C22semidirect
81. #1824C22semidirect
82. #1823C22semidirect
83. #1809C22semidirect
84. #1808C22semidirect
85. #1807C22semidirect
86. #1786C22semidirect
87. #1736C22semidirect
88. #1736C22semidirect
162. #407D4semidirect

Maximal subgroups

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

subgroupindex
C2×#30942
C2×#29732
#350002
C2×#24852
#281002
#276692
#252452
#252432
#246082
#246072
#245532
#245502
#219422
#217642
#207022