Finite Group Databasebeta

← #222124

Subgroups — #222124

Order 512.

1182 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36122C211yesmaximal, characteristic
2#22799C211yesmaximal, characteristic, complemented
3#22797C211yesmaximal, characteristic, complemented
4C2×#1556C211yesmaximal, characteristic, complemented
5C2×#1553C211yesmaximal, characteristic, complemented
6#9704C211yesmaximal, characteristic, complemented
7#9698C211yesmaximal, characteristic, complemented
8#9142C211yesmaximal, characteristic, complemented
9#9142C211yesmaximal, characteristic, complemented
10#9138C211yesmaximal, characteristic, complemented
11#9132C211yesmaximal, characteristic, complemented
12#8586C211yesmaximal, characteristic, complemented
13#8341C211yesmaximal, characteristic, complemented
14#8340C211yesmaximal, characteristic, complemented
15#8236C211yesmaximal, characteristic, complemented
16C2×#548—21no—
17C2×#532C2211yescharacteristic
18C22×C4⋊Q8C2211yescharacteristic
19C2×#432C2211yescharacteristic
20C2×#432C2211yescharacteristic
21C2×#432C2211yescharacteristic
22C2×#431C2211yescharacteristic
23#2858C2211yescharacteristic
24#2857C2211yescharacteristic
25#2856C2211yescharacteristic
26#2545—21no—
27#2491—21no—
28#2491C412yes—
29#2452—21no—
30#2452C412yes—
31#2436—21no—
32#2432—21no—
33#2416—21no—
34#2416C412yes—
35#2361—21no—
36#2361C412yes—
37C4×C4⋊Q8C2211yescharacteristic
38C42×D4C2211yescharacteristic
39#1955—21no—
40#1954—21no—
41#1924—21no—
42#1924—21no—
43#1924—21no—
44#1923—21no—
45#1842C2211yescharacteristic
46#1842C2211yescharacteristic
47#1797C2211yescharacteristic
48#1797C2211yescharacteristic
49#1797C2211yescharacteristic
50#1797C2211yescharacteristic
51#1771—21no—
52#1770—21no—
53#1767C2211yescharacteristic
54C4×C4⋊C8C2211yescharacteristic
55#1556—24no—
56#1553—24no—
57C2×#332C2211yescharacteristic
58C2×#332C2211yescharacteristic
59C2×#332C2211yescharacteristic
60C2×#332C2211yescharacteristic
61C2×#332C2211yescharacteristic
62C2×#332C2211yescharacteristic
63C2×#332C2211yescharacteristic
64C2×#332C2211yescharacteristic
65C2×#331C2211yescharacteristic
66C2×#331C2211yescharacteristic
67C2×#331C2211yescharacteristic
68C2×#331C2211yescharacteristic
69#1296C2211yescharacteristic
70#1296C2211yescharacteristic
71#1296C2211yescharacteristic
72#1296C2211yescharacteristic
73C22×#41—21no—
74C23×Q8—21no—
75#548—44no—
76#548—44no—
77#532—22no—
78#532—22no—
79#532—41no—
80#532—41no—
81C2×C4⋊Q8—22no—
82C2×C4⋊Q8—22no—
83C2×C4⋊Q8—21no—
84C2×C4⋊Q8—21no—
85C2×C4⋊Q8—41no—
86C2×C4⋊Q8—41no—
87C2×C4⋊Q8C2×C412yes—
88C2×C4⋊Q8C2311yescharacteristic
89C2×C4⋊Q8C2311yescharacteristic
90C2×#127C2311yescharacteristic
91C2×#124—22no—
92C2×#124—21no—
93C2×#124—21no—
94C2×#124—21no—
95C2×C22⋊Q8—21no—
96C2×C22⋊Q8—22no—
97C2×#121—22no—
98C2×#121—21no—
99C2×#121—21no—
100C2×#121—21no—
101C2×#121C2×C412yes—
102C2×#121C2×C412yes—
103C2×C4×Q8—21no—
104C2×C4×D4—22no—
105C2×C4×D4—21no—
106C2×C4×D4C2×C412yes—
107C2×C4×D4C2×C411yescharacteristic
108C2×C4×D4D411yescharacteristic
109C2×C4×D4D411yescharacteristic
110C22×C4⋊C4—21no—
111C22×C4⋊C4C2×C412yes—
112C22×C42C2311yescharacteristic
113C22×C42C2311yescharacteristic
114#432—22no—
115#432—22no—
116#432—22no—
117#432—41no—
118#432—41no—
119#432—41no—
120#431—22no—
121#431—41no—
122C2×C4⋊C8—21no—
123C2×C4⋊C8—21no—
124C2×C4⋊C8—21no—
125C2×C4⋊C8—21no—
126C2×C4⋊C8C2311yescharacteristic
127C2×C4⋊C8C2311yescharacteristic
128C2×C4⋊C8C2311yescharacteristic
129C2×C4⋊C8C2311yescharacteristic
130C2×C4⋊C8C2311yescharacteristic
131C2×C4⋊C8C2311yescharacteristic
132C2×C4⋊C8C2311yescharacteristic
133C2×C4⋊C8C2311yescharacteristic
134C2×C22⋊C8—21no—
135C2×C22⋊C8—21no—
136C2×C22⋊C8—21no—
137C2×C22⋊C8—21no—
138C2×C22⋊C8—21no—
139C2×C22⋊C8—21no—
140C2×C22⋊C8—21no—
141C2×C22⋊C8—21no—
142C2×#97—21no—
143C2×#97—21no—
144C2×#97—21no—
145C2×#97—21no—
146C2×C4×C8—21no—
147C2×C4×C8—21no—
148#396—22no—
149#396—22no—
150#394—22no—
151#394—22no—
152#393—22no—
153#393—22no—
154#391—21no—
155#391—21no—
156#390—21no—
157#390—21no—
158#390—21no—
159#390—21no—
160#390C2×C412yes—
161#390C2×C412yes—
162#390C2×C412yes—
163#389—21no—
164#389—21no—
165#389C2×C412yes—
166#389C2×C412yes—
167#388—22no—
168#388—22no—
169#386—22no—
170#386—22no—
171#385—22no—
172#385—22no—
173#384C2311yescharacteristic
174#380—21no—
175#380C2×C412yes—
176C4×C4⋊C4—21no—
177C4×C4⋊C4C2×C412yes—
178C4×C4⋊C4C2×C411yescharacteristic
179C4×C4⋊C4D411yescharacteristic
180C4×C4⋊C4D411yescharacteristic
181C4×C22⋊C4C2×C411yescharacteristic
182C4×C22⋊C4C2×C411yescharacteristic
183C4×C22⋊C4D411yescharacteristic
184C4×C22⋊C4D411yescharacteristic
185C4×C22⋊C4D411yescharacteristic
186C4×C22⋊C4D411yescharacteristic
187C43C2311yescharacteristic
188#336—21no—
189#336—21no—
190#336—21no—
191#336—21no—
192#336—21no—
193#336—21no—
194#332—22no—
195#332—22no—
196#332—22no—
197#332—22no—
198#332—22no—
199#332—41no—
200#332—41no—
201#332D414yescomplemented
202#331—22no—
203#331—22no—
204#331—41no—
205#331—41no—
206C2×#41—42no—
207C2×#41—42no—
208C2×#41—42no—
209C2×#41—42no—
210C2×#41—81no—
211C2×#41—81no—
212C22×Q8—22no—
213C22×Q8—21no—
214C22×Q8—21no—
215C22×Q8—42no—
216C22×Q8—42no—
217C22×Q8—42no—
218C22×Q8—42no—
219C22×Q8—81no—
220C22×Q8—81no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—21no—
224C22×D4—21no—
225C22×D4C22⋊C411yescharacteristic
226C22×D4C22×C412yes—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4C22×C411yescharacteristic
230C23×C4C22×C411yescharacteristic
231C23×C4C2×D411yescharacteristic
232C23×C4C2×D411yescharacteristic
233C23×C4C2×D411yescharacteristic
234C23×C4C2×D411yescharacteristic
235C22×C8—21no—
236C22×C8—21no—
237C22×C8—21no—
238C22×C8—21no—
239C22×C8—21no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—21no—
243C4⋊Q8—24no—
244C4⋊Q8—21no—
245C4⋊Q8—21no—
246C4⋊Q8—21no—
247C4⋊Q8—21no—
248C4⋊Q8—21no—
249C4⋊Q8—21no—
250C4⋊Q8—42no—
251C4⋊Q8—42no—
252C4⋊Q8—42no—
253C4⋊Q8—42no—
254C4⋊Q8—42no—
255C4⋊Q8C2×D412yes—
256C4⋊Q8#4112yes—
257#127—21no—
258#127—21no—
259#127—21no—
260#127—21no—
261#124—42no—
262#124—42no—
263#124—48no—
264#124—42no—
265#124—42no—
266#124—81no—
267#124—81no—
268C22⋊Q8—48no—
269C22⋊Q8—42no—
270C22⋊Q8—42no—
271#121—24no—
272#121—42no—
273#121—42no—
274#121—42no—
275#121—44no—
276#121—42no—
277#121—42no—
278#121—42no—
279#121—42no—
280#121—48no—
281C4×Q8—42no—
282C4×Q8—42no—
283C4×D4—24no—
284C4×D4—22no—
285C4×D4—22no—
286C4×D4—42no—
287C4×D4—42no—
288C4×D4—42no—
289C4×D4—41no—
290C4×D4—41no—
291C4×D4—42no—
292C4×D4—48no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—42no—
303C2×C4⋊C4—42no—
304C2×C4⋊C4—42no—
305C2×C4⋊C4C22⋊C411yescharacteristic
306C2×C4⋊C4C22⋊C411yescharacteristic
307C2×C4⋊C4C22⋊C411yescharacteristic
308C2×C4⋊C4C22×C412yes—
309C2×C4⋊C4C22×C412yes—
310C2×C4⋊C4C22×C412yes—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—22no—
321C2×C22⋊C4C22⋊C411yescharacteristic
322C2×C22⋊C4C22⋊C411yescharacteristic
323C2×C22⋊C4C22⋊C411yescharacteristic
324C2×C22⋊C4C22⋊C411yescharacteristic
325C2×C22⋊C4C22⋊C411yescharacteristic
326C2×C22⋊C4C22⋊C411yescharacteristic
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—21no—
334C2×C42—21no—
335C2×C42—22no—
336C2×C42C22×C411yescharacteristic
337C2×C42C22×C411yescharacteristic
338C2×C42C22×C411yescharacteristic
339C2×C42C22×C411yescharacteristic
340C2×C42C2×D411yescharacteristic
341C2×C42C2×D411yescharacteristic
342C2×C42C2×D411yescharacteristic
343C2×C42C2×D411yescharacteristic
344C2×C42C2×D411yescharacteristic
345C2×C42C2×D411yescharacteristic
346C2×C42C2×D411yescharacteristic
347C2×C42C2×D411yescharacteristic
348C2×C42C2411yescharacteristic
349C4⋊C8—21no—
350C4⋊C8—21no—
351C4⋊C8—21no—
352C4⋊C8—21no—
353C4⋊C8—21no—
354C4⋊C8—21no—
355C4⋊C8—21no—
356C4⋊C8—21no—
357C4⋊C8—21no—
358C4⋊C8—21no—
359C4⋊C8—21no—
360C4⋊C8—21no—
361C4⋊C8—21no—
362C4⋊C8—21no—
363C4⋊C8—42no—
364C4⋊C8—42no—
365C4⋊C8—81no—
366C4⋊C8—81no—
367C4⋊C8C2×D412yes—
368C4⋊C8C2×D412yes—
369C22⋊C8—42no—
370C22⋊C8—42no—
371C22⋊C8—42no—
372C22⋊C8—42no—
373C22⋊C8—81no—
374C22⋊C8—81no—
375C22⋊C8—81no—
376C22⋊C8—81no—
377#97—42no—
378#97—42no—
379#97—42no—
380#97—42no—
381C4×C8—42no—
382C4×C8—42no—
383#95—22no—
384#95—22no—
385#95—22no—
386#95—22no—
387#95C22⋊C411yescharacteristic
388#95C22⋊C411yescharacteristic
389#95C22⋊C411yescharacteristic
390#95C22⋊C411yescharacteristic
391#95C22⋊C411yescharacteristic
392#95C22⋊C411yescharacteristic
393C24—22no—
394C24C2×C22⋊C411yescharacteristic
395C24C2×C22⋊C411yescharacteristic
396#41—84no—
397#41—84no—
398#41—84no—
399#41—84no—
400C2×Q8—22no—
401C2×Q8—22no—
402C2×Q8—44no—
403C2×Q8—44no—
404C2×Q8—41no—
405C2×Q8—41no—
406C2×Q8—41no—
407C2×Q8—41no—
408C2×Q8—41no—
409C2×Q8—41no—
410C2×Q8—41no—
411C2×Q8—41no—
412C2×Q8—41no—
413C2×Q8—41no—
414C2×Q8—82no—
415C2×Q8—84no—
416C2×Q8—84no—
417C2×Q8—84no—
418C2×Q8—84no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—41no—
424C2×D4—44no—
425C2×D4—42no—
426C2×D4—42no—
427C2×D4—44no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—41no—
432C2×D4—41no—
433C2×D4—41no—
434C2×D4—41no—
435C2×D4—41no—
436C2×D4—41no—
437C2×D4—41no—
438C2×D4—41no—
439C2×D4—41no—
440C2×D4—41no—
441C2×D4—41no—
442C2×D4—41no—
443C2×D4—82no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—82no—
484C22×C4—82no—
485C22×C4C2×C22⋊C411yescharacteristic
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C2×C22⋊C411yescharacteristic
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C2×C22⋊C411yescharacteristic
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C2×C22⋊C411yescharacteristic
495C22×C4C23×C411yescharacteristic
496C22×C4C22×D411yescharacteristic
497C22×C4C22×D411yescharacteristic
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8—41no—
506C2×C8—41no—
507C2×C8—41no—
508C2×C8—41no—
509C2×C8—41no—
510C2×C8—41no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—41no—
514C2×C8—41no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—44no—
531C4⋊C4—44no—
532C4⋊C4—42no—
533C4⋊C4—44no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4—44no—
541C4⋊C4C4×D414yes—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—44no—
549C22⋊C4—44no—
550C22⋊C4—44no—
551C22⋊C4—44no—
552C22⋊C4—44no—
553C22⋊C4—44no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—82no—
557C22⋊C4—82no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42—41no—
577C42—41no—
578C42—44no—
579C42AGL(1,ℤ/8)12yes—
580C42AGL(1,ℤ/8)12yes—
581C42C22×D411yescharacteristic
582C42C2×#4111yescharacteristic
583C42H(5,𝔽2)11yescharacteristic
584C42H(5,𝔽2)11yescharacteristic
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23#41312yes—
606C23C22×C22⋊C411yescharacteristic
607Q8—42no—
608Q8—42no—
609Q8—42no—
610Q8—42no—
611Q8—88no—
612Q8—81no—
613Q8—81no—
614Q8—81no—
615Q8—81no—
616D4—44no—
617D4—82no—
618D4—82no—
619D4—88no—
620D4—88no—
621D4—81no—
622D4—81no—
623D4—81no—
624D4—81no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—81no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—24no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—88no—
689C2×C4—88no—
690C2×C4#41812yes—
691C2×C4#41812yes—
692C2×C4C2×C4×D411yescharacteristic
693C2×C4#51811yescharacteristic
694C2×C4D4211yescharacteristic
695C2×C4D4211yescharacteristic
696C2×C4#54611yescharacteristic
697C2×C4#54611yescharacteristic
698C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
699C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
700C2×C4#57511yescharacteristic
701C2×C4#57511yescharacteristic
702C2×C4#57611yescharacteristic
703C2×C4#57711yescharacteristic
704C2×C4#57711yescharacteristic
705C2×C4#57811yescharacteristic
706C8—42no—
707C8—42no—
708C8—81no—
709C8—81no—
710C8—81no—
711C8—81no—
712C8—81no—
713C8—81no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22D4×C22⋊C411yescharacteristic
736C22C2×#41311yescharacteristic
737C22#288911yescharacteristic
738C22C2×#41811yescharacteristic
739C22#289611yescharacteristic
740C22#289711yescharacteristic
741C22#289811yescharacteristic
742C4—22no—
743C4—22no—
744C4—21no—
745C4—21no—
746C4—41no—
747C4—41no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—44no—
755C4—82no—
756C4—82no—
757C4#326911yescharacteristic
758C4#327111yescharacteristic
759C4#327211yescharacteristic
760C4#327411yescharacteristic
761C4#331311yescharacteristic
762C4#332111yescharacteristic
763C4#332411yescharacteristic
764C4#332511yescharacteristic
765C2—42no—
766C2—81no—
767C2—162no—
768C2#1774411yescharacteristic
769C2#1775911yescharacteristic
770C2#1776911yescharacteristic
771C2#1777511yescharacteristic
772C2#2241011yescharacteristic
773C2#2242611yescharacteristic
774C2#2242811yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
prime radical#36122C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #22799C2semidirect
3. #22797C2semidirect
4. C2×#1556C2semidirect
5. C2×#1553C2semidirect
6. #9704C2semidirect
7. #9698C2semidirect
8. #9142C2semidirect
9. #9142C2semidirect
10. #9138C2semidirect
11. #9132C2semidirect
12. #8586C2semidirect
13. #8341C2semidirect
14. #8340C2semidirect
15. #8236C2semidirect
201. #332D4semidirect

Maximal subgroups

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

subgroupindex
#361222
#227992
#227972
C2×#15562
C2×#15532
#97042
#96982
#91422
#91382
#91322
#85862
#83412
#83402
#82362