Finite Group Databasebeta

← #6848400

Subgroups — #6848400

Order 512.

1930 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36160C211yesmaximal, characteristic
2C2×#2538C211yesmaximal, characteristic, complemented
3#32957C211yesmaximal, characteristic, complemented
4#32023C214yesmaximal, complemented
5#31409C214yesmaximal, complemented
6#29593C212yesmaximal, complemented
7#28150C212yesmaximal, complemented
8#27961C211yesmaximal, characteristic, complemented
9#27645C211yesmaximal, characteristic, complemented
10#27604C212yesmaximal, complemented
11#25349C212yesmaximal, complemented
12#24972C212yesmaximal, complemented
13#24557C212yesmaximal, complemented
14#24121C212yesmaximal, complemented
15#22401C211yesmaximal, characteristic, complemented
16#21768C212yesmaximal, complemented
17C4×#448C211yesmaximal, characteristic, complemented
18C2×#555C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#481C2212yes—
23C2×#477C2212yescomplemented
24C2×#448C2211yescharacteristic
25C2×C4×SD16C2212yescomplemented
26C2×#436C2212yes—
27C2×#407C2212yes—
28#2857C2211yescharacteristic
29#2847C2212yes—
30#2563C2211yescharacteristic
31#2538—21no—
32#2538—21no—
33#2538—22no—
34#2538C2212yes—
35#2538C2214yes—
36#2538C2212yes—
37#2537C2211yescharacteristic
38#2485C2212yes—
39#2472—22no—
40#2459—22no—
41#2420—21no—
42#2414C2212yes—
43#2408—21no—
44C2×#396—22no—
45#2363—21no—
46#2354C2211yescharacteristic
47#2352—21no—
48C4×#121C2211yescharacteristic
49C2×#390—21no—
50C2×#389—21no—
51C2×#384C2211yescharacteristic
52#2280C2212yes—
53C2×#380C2212yes—
54#2100C2214yescomplemented
55#2084C2212yescomplemented
56#2077C2214yescomplemented
57#2077C2214yescomplemented
58#2075C2214yescomplemented
59#2071C2212yescomplemented
60#2035C2214yescomplemented
61#2035C2214yescomplemented
62#2033C2214yescomplemented
63#2000C2214yescomplemented
64#2000C2214yescomplemented
65#1990C2212yescomplemented
66#1954C2212yes—
67#1948C2212yescomplemented
68#1895C2214yescomplemented
69#1894C2214yescomplemented
70#1894C2214yescomplemented
71#1880C2212yescomplemented
72#1874C2211yescharacteristic
73#1873C2214yescomplemented
74#1873C2214yescomplemented
75#1870C2214yes—
76#1865C2212yescomplemented
77#1863C2214yescomplemented
78#1854C2214yescomplemented
79#1853C2211yescharacteristic
80#1852C2212yes—
81#1834C2212yescomplemented
82#1825C2214yescomplemented
83#1824C2212yes—
84#1824C2212yes—
85#1824C2212yes—
86#1809C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1787C2211yescharacteristic
91#1787C2212yes—
92#1779C2212yes—
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8C2311yescharacteristic
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×SD16C2312yes—
99C22×M16C2314yes—
100#555—44no—
101C2×C4⋊Q8C2311yescharacteristic
102C2×#124—22no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—28no—
107C2×C22⋊Q8—44no—
108C2×C22⋊Q8C2314yes—
109C2×C22⋊Q8C2314yes—
110C2×#121—21no—
111C2×#121—21no—
112C2×#121C2311yescharacteristic
113C2×#121C2312yes—
114C2×#121C2312yes—
115C2×#120—22no—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×Q8—44no—
119C2×C4×Q8C2312yes—
120C2×C4×Q8C2312yes—
121C2×C4×D4—21no—
122C2×C4×D4—44no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D411yescharacteristic
125C2×C4×D4D412yes—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2312yes—
130C2×#117—21no—
131C2×#117C2312yes—
132C2×#117C2312yes—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2311yescharacteristic
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C22⋊C4D412yes—
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145#481—44no—
146#477—44no—
147#448—24no—
148C4×SD16—44no—
149#436—44no—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2312yes—
153C2×C4⋊C8C2312yes—
154C2×#103C2312yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2312yes—
158C2×#103C2312yes—
159C2×#102C2314yes—
160C2×#102C2312yes—
161#407—44no—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2311yescharacteristic
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2314yes—
168C2×C4×C8C2312yes—
169#397—22no—
170#396—24no—
171#396—24no—
172#396—24no—
173#396—24no—
174#394—22no—
175#394—22no—
176#394—22no—
177#393—22no—
178#392—22no—
179#391—21no—
180#390—21no—
181#390—21no—
182#390—22no—
183#390—22no—
184#390—24no—
185#390—22no—
186#390C2311yescharacteristic
187#389—22no—
188#389—22no—
189#389—24no—
190#389—21no—
191#389C2311yescharacteristic
192#389C2312yes—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—21no—
197#387—22no—
198#386—22no—
199#386—22no—
200#386—22no—
201#386—21no—
202#384—21no—
203#384—21no—
204#384C2312yes—
205#384C2311yescharacteristic
206#384C2312yes—
207#382—21no—
208#381—22no—
209#380—21no—
210#380—22no—
211#380—22no—
212#380—21no—
213#380C2312yes—
214#380C2312yes—
215#380C2314yes—
216#380C2312yes—
217#380C2312yes—
218#380C2314yes—
219#380C2312yes—
220#380C2311yescharacteristic
221#379—22no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4C2311yescharacteristic
224C4×C22⋊C4—22no—
225C4×C22⋊C4—22no—
226C4×C22⋊C4—21no—
227C2×#95—22no—
228#340C2314yes—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#336C2312yes—
238#336C2312yes—
239C25C2×D412yes—
240C22×Q8—21no—
241C22×Q8—21no—
242C22×Q8—22no—
243C22×Q8—42no—
244C22×Q8—42no—
245C22×Q8#4114yes—
246C22×Q8C2412yes—
247C22×D4—21no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—24no—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4C2×D411yescharacteristic
254C22×D4C2×D411yescharacteristic
255C22×D4C2×D412yes—
256C22×D4C2411yescharacteristic
257C23×C4—21no—
258C23×C4—24no—
259C23×C4—24no—
260C23×C4—22no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—44no—
264C23×C4—44no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D412yes—
268C23×C4C2×D412yes—
269C23×C4C2×D412yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×SD16—24no—
274C2×SD16—42no—
275C2×SD16—42no—
276C2×M16—44no—
277C2×M16—44no—
278C2×M16—44no—
279C22×C8C2412yes—
280C22×C8C2414yes—
281C22×C8C2412yes—
282C4⋊Q8—24no—
283#124—48no—
284C22⋊Q8—28no—
285C22⋊Q8—28no—
286C22⋊Q8—44no—
287C22⋊Q8—44no—
288C22⋊Q8—48no—
289C22⋊Q8—48no—
290C22⋊Q8—82no—
291#121—22no—
292#121—22no—
293#121—44no—
294#121—44no—
295#121—44no—
296#121—44no—
297#120—84no—
298C4×Q8—24no—
299C4×Q8—24no—
300C4×Q8—42no—
301C4×Q8—42no—
302C4×Q8—44no—
303C4×Q8—44no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4—44no—
308C4×D4—42no—
309C4×D4—42no—
310C4×D4—44no—
311C4×D4—44no—
312#117—44no—
313#117—44no—
314#117—44no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—48no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—82no—
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2414yes—
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2411yescharacteristic
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—21no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—48no—
368C2×C22⋊C4—84no—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C42—24no—
374C2×C42—22no—
375C2×C42—21no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—44no—
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2411yescharacteristic
383C2×C42C2411yescharacteristic
384#107—44no—
385#106—42no—
386#106—44no—
387C4⋊C8—24no—
388#103—24no—
389#103—42no—
390#103—44no—
391#103—42no—
392#103—44no—
393#102—42no—
394#102—44no—
395C22⋊C8—22no—
396C22⋊C8—22no—
397C22⋊C8—24no—
398C22⋊C8—44no—
399C22⋊C8—44no—
400C22⋊C8—44no—
401C4×C8—24no—
402#95—24no—
403#95—24no—
404#95—21no—
405#95—22no—
406#95—22no—
407#95—22no—
408#95—21no—
409#95—22no—
410#95—21no—
411#95—22no—
412#95—22no—
413C24—24no—
414C24—24no—
415C24—24no—
416C24—21no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24C22×D412yes—
422C24C22×D412yes—
423C24C22×D411yescharacteristic
424C2×Q8—24no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—48no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—48no—
434C2×Q8—42no—
435C2×Q8—81no—
436C2×Q8—81no—
437C2×Q8C2×#4114yes—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—24no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—416no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—82no—
458C2×D4—82no—
459C2×D4—82no—
460C2×D4—82no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—41no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—88no—
506C22×C4—88no—
507C22×C4#13714yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C2×#4112yes—
516C22×C4H(5,𝔽2)12yes—
517C22×C4C2511yescharacteristic
518SD16—48no—
519M16—88no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—24no—
526C2×C8—22no—
527C2×C8—24no—
528C2×C8—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—24no—
537C4⋊C4—21no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—42no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—44no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—42no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—82no—
554C4⋊C4—82no—
555C4⋊C4—81no—
556C4⋊C4—82no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—42no—
567C22⋊C4—44no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—81no—
572C22⋊C4—82no—
573C22⋊C4—82no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—44no—
583C42—44no—
584C42—44no—
585C42—42no—
586C42—82no—
587C42H(5,𝔽2)14yes—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23#54612yes—
621C23C2×#13712yes—
622C23#57712yes—
623C23C23×D411yescharacteristic
624Q8—24no—
625Q8—24no—
626Q8—48no—
627Q8—42no—
628Q8—42no—
629Q8—162no—
630D4—48no—
631D4—44no—
632D4—44no—
633D4—42no—
634D4—42no—
635D4—84no—
636D4—164no—
637D4—164no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—28no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—44no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4#53412yes—
693C2×C4#53412yes—
694C2×C4#54612yes—
695C2×C4C2×#13712yes—
696C2×C4C2×#13712yes—
697C2×C4#57512yes—
698C2×C4C22×#4111yescharacteristic
699C2×C4C2×H(5,𝔽2)12yes—
700C2×C4C2×H(5,𝔽2)11yescharacteristic
701C2×C4#58512yes—
702C8—42no—
703C8—44no—
704C8—42no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—816no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22#332914yes—
734C22C2×#53411yescharacteristic
735C22C2×#54611yescharacteristic
736C22#348511yescharacteristic
737C22C22×#13711yescharacteristic
738C22C2×#57511yescharacteristic
739C22C2×#57711yescharacteristic
740C22#358511yescharacteristic
741C4—22no—
742C4—22no—
743C4—22no—
744C4—42no—
745C4—42no—
746C4—44no—
747C4—41no—
748C4—81no—
749C4—82no—
750C4—81no—
751C4—82no—
752C4—82no—
753C4—81no—
754C4—84no—
755C4#319614yes—
756C4#350512yes—
757C4#354212yes—
758C2—24no—
759C2—82no—
760C2—82no—
761C2—161no—
762C2#3946611yescharacteristic
763C2C2×#319611yescharacteristic
764C2#6076511yescharacteristic
765C2C2×#332911yescharacteristic
766C2#6116011yescharacteristic
767C2#6171911yescharacteristic
768C2#6173911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36160C2
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
2. C2×#2538C2semidirect
3. #32957C2semidirect
4. #32023C2semidirect
5. #31409C2semidirect
6. #29593C2semidirect
7. #28150C2semidirect
8. #27961C2semidirect
9. #27645C2semidirect
10. #27604C2semidirect
11. #25349C2semidirect
12. #24972C2semidirect
13. #24557C2semidirect
14. #24121C2semidirect
15. #22401C2semidirect
16. #21768C2semidirect
17. C4×#448C2semidirect
23. C2×#477C22semidirect
25. C2×C4×SD16C22semidirect
54. #2100C22semidirect
55. #2084C22semidirect
56. #2077C22semidirect
57. #2077C22semidirect
58. #2075C22semidirect
59. #2071C22semidirect
60. #2035C22semidirect
61. #2035C22semidirect
62. #2033C22semidirect
63. #2000C22semidirect
64. #2000C22semidirect
65. #1990C22semidirect
67. #1948C22semidirect
68. #1895C22semidirect
69. #1894C22semidirect
70. #1894C22semidirect
71. #1880C22semidirect
73. #1873C22semidirect
74. #1873C22semidirect
76. #1865C22semidirect
77. #1863C22semidirect
78. #1854C22semidirect
81. #1834C22semidirect
82. #1825C22semidirect
86. #1809C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
93. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#361602
C2×#25382
#329572
#320232
#314092
#295932
#281502
#279612
#276452
#276042
#253492
#249722
#245572
#241212
#224012
#217682
C4×#4482