Finite Group Databasebeta

← #6494494

Subgroups — #6494494

Order 512.

1756 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35283C211yesmaximal, characteristic, complemented
2#35278C211yesmaximal, characteristic
3#33278C211yesmaximal, characteristic, complemented
4#33224C211yesmaximal, characteristic, complemented
5#33170C211yesmaximal, characteristic, complemented
6#33042C211yesmaximal, characteristic, complemented
7#30305C211yesmaximal, characteristic, complemented
8#30259C211yesmaximal, characteristic, complemented
9#29843C211yesmaximal, characteristic, complemented
10#29807C211yesmaximal, characteristic, complemented
11#28905C214yesmaximal, complemented
12#28877C214yesmaximal, complemented
13#26962C214yesmaximal, complemented
14#26816C214yesmaximal, complemented
15#22268C211yesmaximal, characteristic, complemented
16#22219C211yesmaximal, characteristic, complemented
17C4×#492C211yesmaximal, characteristic, complemented
18C4×#486C211yesmaximal, characteristic, complemented
19C8×#117C211yesmaximal, characteristic, complemented
20C2×#540—21no—
21C2×#492C2211yescharacteristic
22C2×#492C2211yescharacteristic
23C2×#486C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#486C2214yes—
26C2×#465C2214yes—
27C2×C4×SD16C2214yes—
28C2×#431C2211yescharacteristic
29C22×C4×C8C2211yescharacteristic
30#2868C2211yescharacteristic
31#2867C2211yescharacteristic
32#2862C2211yescharacteristic
33#2859C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2856C2211yescharacteristic
37#2856C2211yescharacteristic
38#2647—21no—
39#2641—21no—
40#2628—21no—
41#2619—21no—
42#2511—21no—
43#2511C2212yes—
44#2492—21no—
45#2492C2212yes—
46#2451—21no—
47#2451C2212yes—
48#2445—21no—
49#2445—21no—
50#2445C2212yes—
51#2445C2212yes—
52#2428—21no—
53#2428—21no—
54#2428C2212yes—
55#2428C2212yes—
56#2423—21no—
57#2423C2212yes—
58#2331—21no—
59#2328—21no—
60#2314—21no—
61C4×C4⋊Q8C2211yescharacteristic
62C4×C4⋊Q8C2211yescharacteristic
63C4×#127C2211yescharacteristic
64C4×#127C2211yescharacteristic
65C4×#117C2211yescharacteristic
66#2084C2214yes—
67#2065C2214yes—
68#2058C2214yes—
69#2055C2214yes—
70#2034C2214yes—
71#2014C2214yes—
72#2014C2214yes—
73#2000C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1968C2214yes—
77#1968C2214yes—
78#1957C2211yescharacteristic
79#1957C2214yes—
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1957C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1934C2214yes—
86#1934C2214yes—
87#1933C2214yes—
88#1933C2214yes—
89#1926C2214yes—
90#1893C2214yes—
91#1880C2214yes—
92#1877C2214yes—
93#1864C2214yes—
94#1844C2211yescharacteristic
95#1844C2211yescharacteristic
96#1834C2211yescharacteristic
97#1834C2211yescharacteristic
98C8×C4⋊C4C2212yes—
99C8×C4⋊C4C2212yes—
100C4×#102C2214yes—
101C8×C22⋊C4C2212yes—
102C8×C22⋊C4C2212yes—
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105C42×C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×SD16C2314yes—
108C22×SD16C2314yes—
109C23×C8C2312yes—
110#540—48no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2312yes—
116C2×#127—21no—
117C2×#127—21no—
118C2×#127—21no—
119C2×#127—21no—
120C2×#127C2311yescharacteristic
121C2×#127C2311yescharacteristic
122C2×#127C2312yes—
123C2×#127C2312yes—
124C2×#125—21no—
125C2×#123—22no—
126C2×#123—22no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8C2312yes—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121—21no—
133C2×#121—22no—
134C2×#121—22no—
135C2×#121C2312yes—
136C2×#121C2312yes—
137C2×C4×Q8—21no—
138C2×C4×Q8C2312yes—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—21no—
143C2×C4×D4C2312yes—
144C2×C4×D4C2312yes—
145C2×#117D411yescharacteristic
146C2×#117D411yescharacteristic
147C22×C42C2311yescharacteristic
148#492—24no—
149#492—24no—
150#486—24no—
151#486—24no—
152#486—48no—
153#465—48no—
154C4×SD16—48no—
155#431—24no—
156C2×#106C2314yes—
157C2×#106C2314yes—
158C2×C4⋊C8C2312yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×C22⋊C8C2312yes—
168C2×C4×C8—24no—
169C2×C4×C8C2312yes—
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2312yes—
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2312yes—
174C2×C4×C8C2312yes—
175C2×C4×C8C2312yes—
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2311yescharacteristic
178#400—22no—
179#400—22no—
180#400—22no—
181#399—22no—
182#398—22no—
183#398—22no—
184#395—22no—
185#394—22no—
186#394—22no—
187#394—22no—
188#394—22no—
189#394—22no—
190#394—22no—
191#393—22no—
192#392—22no—
193#392—22no—
194#391—21no—
195#391—21no—
196#391—21no—
197#391—21no—
198#391—22no—
199#391—22no—
200#391C2312yes—
201#391C2312yes—
202#391C2312yes—
203#391C2312yes—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390—21no—
209#390—21no—
210#390—21no—
211#390—21no—
212#390C2312yes—
213#390C2312yes—
214#390C2312yes—
215#390C2312yes—
216#389—21no—
217#389—21no—
218#389—21no—
219#389—21no—
220#389—21no—
221#389—21no—
222#389—21no—
223#389—21no—
224#389C2312yes—
225#389C2312yes—
226#389C2312yes—
227#389C2312yes—
228#388—22no—
229#388—22no—
230#387—22no—
231#387—22no—
232#387—22no—
233#387—22no—
234#386—22no—
235#386—22no—
236#386—22no—
237#386—22no—
238#384—21no—
239#384—21no—
240#384C2311yescharacteristic
241#384C2311yescharacteristic
242#384C2311yescharacteristic
243#384C2311yescharacteristic
244#384C2312yes—
245#382—21no—
246#382—21no—
247#382—21no—
248#380—21no—
249#380—21no—
250#380—21no—
251#380C2312yes—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2311yescharacteristic
259C4×C4⋊C4C2311yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264#376D411yescharacteristic
265#376D411yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—22no—
278C22×Q8C2412yes—
279C22×D4—22no—
280C22×D4—22no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4—21no—
285C22×D4—22no—
286C22×D4—22no—
287C22×D4—22no—
288C22×D4—22no—
289C22×D4C2412yes—
290C22×D4C2412yes—
291C23×C4—22no—
292C23×C4—22no—
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2411yescharacteristic
296C2×SD16—28no—
297C2×SD16—28no—
298C2×SD16—44no—
299C2×SD16—44no—
300C2×SD16—44no—
301C2×SD16—44no—
302C22×C8—24no—
303C22×C8—24no—
304C22×C8—42no—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C22×C8C2412yes—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—44no—
314C4⋊Q8—44no—
315C4⋊Q8—82no—
316#127—22no—
317#127—22no—
318#127—22no—
319#127—22no—
320#127—44no—
321#127—44no—
322#127—44no—
323#127—44no—
324#127—82no—
325#127—82no—
326#125—44no—
327#123—48no—
328#123—48no—
329C22⋊Q8—44no—
330C22⋊Q8—82no—
331#121—44no—
332#121—44no—
333#121—48no—
334#121—48no—
335#121—44no—
336#121—44no—
337#121—82no—
338#121—82no—
339C4×Q8—44no—
340C4×Q8—82no—
341C4×D4—44no—
342C4×D4—44no—
343C4×D4—44no—
344C4×D4—44no—
345C4×D4—82no—
346C4×D4—82no—
347#117—24no—
348#117SD1618yescomplemented
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#106—44no—
417#106—44no—
418C4⋊C8—24no—
419#103—28no—
420#103—44no—
421#102—28no—
422#102—28no—
423#102—28no—
424#102—28no—
425#102—44no—
426#102—44no—
427C22⋊C8—24no—
428C4×C8—24no—
429C4×C8—24no—
430C4×C8—24no—
431C4×C8—22no—
432C4×C8—22no—
433C4×C8—42no—
434C4×C8—42no—
435C4×C8#4114yes—
436C4×C8#4114yes—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459C24—22no—
460C24—22no—
461C24C22×D411yescharacteristic
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—24no—
465C2×Q8—24no—
466C2×Q8—42no—
467C2×Q8—44no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—82no—
471C2×Q8—82no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—24no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—82no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—82no—
502C2×D4—82no—
503C2×D4—82no—
504C2×D4—82no—
505C2×D4—82no—
506C2×D4—82no—
507C2×D4—82no—
508C2×D4—82no—
509C2×D4—82no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—82no—
528C22×C4—82no—
529C22×C4—82no—
530C22×C4—82no—
531C22×C4C2×SD1614yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C2511yescharacteristic
546SD16—416no—
547SD16—88no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—48no—
558C2×C8C2×#4114yes—
559C2×C8C2×#4114yes—
560C2×C8H(5,𝔽2)14yes—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4C2×SD1614yes—
590C4⋊C4C2×SD1614yes—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4C2×SD1614yes—
608C22⋊C4C2×SD1614yes—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—21no—
617C42—21no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—82no—
623C42—82no—
624C42C2×SD1614yes—
625C42C2×SD1614yes—
626C42#13514yes—
627C42C2×#4112yes—
628C42C2×#4112yes—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23C22×SD1612yes—
650C23C23×D411yescharacteristic
651Q8—44no—
652Q8—44no—
653Q8—84no—
654Q8—164no—
655D4—44no—
656D4—44no—
657D4—44no—
658D4—44no—
659D4—84no—
660D4—84no—
661D4—84no—
662D4—84no—
663D4—164no—
664D4—164no—
665D4—164no—
666D4—164no—
667D4—164no—
668D4—164no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—28no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—44no—
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—164no—
718C2×C4—164no—
719C2×C4#53212yes—
720C2×C4#53212yes—
721C2×C4C22×SD1612yes—
722C2×C4C22×SD1612yes—
723C2×C4C22×SD1612yes—
724C2×C4C22×SD1612yes—
725C2×C4C22×SD1612yes—
726C2×C4C22×SD1612yes—
727C2×C4C2×#13512yes—
728C2×C4C2×#13512yes—
729C2×C4C2×#13512yes—
730C2×C4#57612yes—
731C2×C4#57712yes—
732C2×C4C22×#4111yescharacteristic
733C2×C4C22×#4111yescharacteristic
734C2×C4C2×H(5,𝔽2)12yes—
735C2×C4#58512yes—
736C8—24no—
737C8—24no—
738C8—24no—
739C8—42no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22C2×#53211yescharacteristic
762C22#349811yescharacteristic
763C22#350011yescharacteristic
764C22C23×SD1611yescharacteristic
765C22C22×#13511yescharacteristic
766C22C2×#57611yescharacteristic
767C22C2×#57711yescharacteristic
768C4—22no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—22no—
774C4—22no—
775C4—41no—
776C4—41no—
777C4—41no—
778C4—41no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4#316714yes—
786C4#317914yes—
787C4#346012yes—
788C4#349412yes—
789C2—42no—
790C2—162no—
791C2—162no—
792C2#3527611yescharacteristic
793C2C2×#316711yescharacteristic
794C2C2×#317911yescharacteristic
795C2#6241311yescharacteristic
796C2#6241711yescharacteristic
797C2#6252511yescharacteristic
798C2#6253111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35278C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35283C2semidirect
3. #33278C2semidirect
4. #33224C2semidirect
5. #33170C2semidirect
6. #33042C2semidirect
7. #30305C2semidirect
8. #30259C2semidirect
9. #29843C2semidirect
10. #29807C2semidirect
11. #28905C2semidirect
12. #28877C2semidirect
13. #26962C2semidirect
14. #26816C2semidirect
15. #22268C2semidirect
16. #22219C2semidirect
17. C4×#492C2semidirect
18. C4×#486C2semidirect
19. C8×#117C2semidirect
348. #117SD16semidirect

Maximal subgroups

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

subgroupindex
#352832
#352782
#332782
#332242
#331702
#330422
#303052
#302592
#298432
#298072
#289052
#288772
#269622
#268162
#222682
#222192
C4×#4922
C4×#4862
C8×#1172