Finite Group Databasebeta

← #224815

Subgroups — #224815

Order 512.

895 conjugacy classes of subgroups.

The subgroup lattice has 755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34918C211yesmaximal, characteristic
2#22722C211yesmaximal, characteristic, complemented
3C4×#446C211yesmaximal, characteristic, complemented
4#9678C211yesmaximal, characteristic
5#9676C211yesmaximal, characteristic, complemented
6#9675C211yesmaximal, characteristic, complemented
7#9646C211yesmaximal, characteristic, complemented
8#9646C211yesmaximal, characteristic, complemented
9#9638C211yesmaximal, characteristic
10#8568C211yesmaximal, characteristic, complemented
11#8567C211yesmaximal, characteristic, complemented
12#8563C211yesmaximal, characteristic, complemented
13#8181C211yesmaximal, characteristic, complemented
14#8176C211yesmaximal, characteristic, complemented
15#8172C211yesmaximal, characteristic, complemented
16C2×#446—21no—
17C2×#446—21no—
18#2597—21no—
19#2595—21no—
20#2592C411yescharacteristic
21#2580C411yescharacteristic
22#2570C411yescharacteristic
23#2544C411yescharacteristic
24#2516—21no—
25#2513C411yescharacteristic
26#2511C411yescharacteristic
27#2458—21no—
28#2447C411yescharacteristic
29#2445C411yescharacteristic
30#2398—21no—
31#2395—21no—
32C4×#127C2211yescharacteristic
33C4×#124C2211yescharacteristic
34C4×#124C2211yescharacteristic
35C4×#123—21no—
36#2295C2211yescharacteristic
37#2293C2211yescharacteristic
38#2290—21no—
39C42×Q8C2211yescharacteristic
40C42×D4C2211yescharacteristic
41#1940—21no—
42#1940—21no—
43#1939—21no—
44#1842C2211yescharacteristic
45#1842C2211yescharacteristic
46#1842C2211yescharacteristic
47#1771—21no—
48#1771—21no—
49#1770—21no—
50#1767C2211yescharacteristic
51#1767C2211yescharacteristic
52C4×C4⋊C8C2211yescharacteristic
53C4×C4⋊C8C2211yescharacteristic
54C4×C4⋊C8C2211yescharacteristic
55C4×C4⋊C8C2211yescharacteristic
56C4×#97C2211yescharacteristic
57C4×#97C2211yescharacteristic
58C42×C8C2211yescharacteristic
59C2×Q8⋊C8C2211yescharacteristic
60C2×Q8⋊C8C2211yescharacteristic
61C2×Q8⋊C8C2211yescharacteristic
62C2×Q8⋊C8C2211yescharacteristic
63C2×D4⋊C8C2211yescharacteristic
64C2×D4⋊C8C2211yescharacteristic
65C2×D4⋊C8C2211yescharacteristic
66C2×D4⋊C8C2211yescharacteristic
67C2×D4⋊C8C2211yescharacteristic
68C2×D4⋊C8C2211yescharacteristic
69C2×D4⋊C8C2211yescharacteristic
70C2×D4⋊C8C2211yescharacteristic
71#1279C2211yescharacteristic
72#1279C2211yescharacteristic
73#1279C2211yescharacteristic
74#1279C2211yescharacteristic
75C2×#127C2×C411yescharacteristic
76C2×#124C2×C411yescharacteristic
77C2×#124C2×C411yescharacteristic
78C2×#123—21no—
79C2×C4×Q8C2×C411yescharacteristic
80C2×C4×Q8D411yescharacteristic
81C2×C4×Q8D411yescharacteristic
82C2×C4×Q8C2311yescharacteristic
83C2×C4×D4—21no—
84C2×C4×D4—21no—
85C2×C4×D4C2×C411yescharacteristic
86C2×C4×D4C2×C411yescharacteristic
87C2×C4×D4C2311yescharacteristic
88C2×C4×D4C2311yescharacteristic
89C2×#117—21no—
90C22×C42—21no—
91#446—28no—
92#446—44no—
93C2×C4⋊C8—21no—
94C2×C4⋊C8—21no—
95C2×C4⋊C8—21no—
96C2×C4⋊C8—21no—
97C2×C4⋊C8—21no—
98C2×C4⋊C8—21no—
99C2×C4⋊C8—21no—
100C2×C4⋊C8—21no—
101C2×C4⋊C8—21no—
102C2×C4⋊C8C2311yescharacteristic
103C2×C4⋊C8C2311yescharacteristic
104C2×C4⋊C8C2311yescharacteristic
105C2×C4⋊C8C2311yescharacteristic
106C2×#97—21no—
107C2×#97—21no—
108C2×#97—21no—
109C2×#97—21no—
110C2×#97—21no—
111C2×#97—21no—
112C2×C4×C8—21no—
113C2×C4×C8—21no—
114C2×C4×C8—21no—
115C2×C4×C8C2311yescharacteristic
116C2×C4×C8C2311yescharacteristic
117C2×C4×C8C2311yescharacteristic
118C2×C4×C8C2311yescharacteristic
119#400—21no—
120#400—21no—
121#400—21no—
122#399—21no—
123#398—21no—
124#397—21no—
125#397—21no—
126#397—21no—
127#397—21no—
128#397—21no—
129#394—21no—
130#394—21no—
131#394—21no—
132#394—21no—
133#393—21no—
134#393—21no—
135#391C2×C411yescharacteristic
136#391C2×C411yescharacteristic
137#391C2×C411yescharacteristic
138#391C2×C411yescharacteristic
139#390—21no—
140#390—21no—
141#390C2×C411yescharacteristic
142#390C2×C411yescharacteristic
143#390C2×C411yescharacteristic
144#390C2×C411yescharacteristic
145#390C2×C411yescharacteristic
146#390C2×C411yescharacteristic
147#389C2×C411yescharacteristic
148#389C2×C411yescharacteristic
149#389C2×C411yescharacteristic
150#389C2×C411yescharacteristic
151#388—21no—
152#388—21no—
153#388—21no—
154#388—21no—
155#388—21no—
156#388—21no—
157#388—21no—
158#388—21no—
159#388—21no—
160#388—21no—
161#387—21no—
162#387—21no—
163#387—21no—
164#387—21no—
165#387—21no—
166#387—21no—
167#386—21no—
168#386—21no—
169#386—21no—
170#385—21no—
171#385—21no—
172#385—21no—
173#384C2×C411yescharacteristic
174#382C2×C411yescharacteristic
175#382C2×C411yescharacteristic
176#381—21no—
177C4×C4⋊C4—21no—
178C4×C4⋊C4C2×C411yescharacteristic
179C4×C4⋊C4C2×C411yescharacteristic
180C4×C4⋊C4C2×C411yescharacteristic
181C4×C4⋊C4C2×C411yescharacteristic
182C4×C4⋊C4C2×C411yescharacteristic
183C4×C4⋊C4D411yescharacteristic
184C4×C4⋊C4D411yescharacteristic
185C4×C4⋊C4D411yescharacteristic
186C4×C4⋊C4D411yescharacteristic
187C4×C4⋊C4D411yescharacteristic
188C4×C4⋊C4D411yescharacteristic
189C4×C4⋊C4C2311yescharacteristic
190C4×C22⋊C4—21no—
191C4×C22⋊C4—21no—
192C4×C22⋊C4—21no—
193C4×C22⋊C4—21no—
194C4×C22⋊C4—21no—
195C4×C22⋊C4—21no—
196C4×C22⋊C4—21no—
197C4×C22⋊C4—21no—
198#376—21no—
199C43C2311yescharacteristic
200C43C2311yescharacteristic
201C43C2311yescharacteristic
202#336—21no—
203#336—21no—
204#336—21no—
205#336—21no—
206#336—21no—
207#336—21no—
208Q8⋊C8—22no—
209Q8⋊C8—22no—
210Q8⋊C8—41no—
211Q8⋊C8—41no—
212D4⋊C8—22no—
213D4⋊C8—22no—
214D4⋊C8—22no—
215D4⋊C8—22no—
216D4⋊C8—41no—
217D4⋊C8—41no—
218D4⋊C8—41no—
219D4⋊C8—41no—
220C22×Q8C22⋊C411yescharacteristic
221C22×Q8C22×C411yescharacteristic
222C22×D4—21no—
223C22×D4—21no—
224C22×D4C22×C411yescharacteristic
225C22×D4C22×C411yescharacteristic
226C23×C4—21no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—21no—
230C22×C8—21no—
231C22×C8—21no—
232C22×C8—21no—
233C22×C8—21no—
234C22×C8—21no—
235C22×C8—21no—
236C22×C8—21no—
237C22×C8—21no—
238#127—22no—
239#127—41no—
240#124—22no—
241#124—41no—
242#124—41no—
243#124—41no—
244#123—44no—
245C4×Q8—24no—
246C4×Q8—22no—
247C4×Q8—22no—
248C4×Q8—21no—
249C4×Q8—21no—
250C4×Q8—21no—
251C4×Q8—21no—
252C4×Q8—41no—
253C4×Q8—41no—
254C4×D4—22no—
255C4×D4—21no—
256C4×D4—21no—
257C4×D4—21no—
258C4×D4—21no—
259C4×D4—21no—
260C4×D4—21no—
261C4×D4—21no—
262C4×D4—21no—
263C4×D4—41no—
264C4×D4—41no—
265C4×D4—41no—
266C4×D4—42no—
267C4×D4—42no—
268C4×D4—81no—
269C4×D4—81no—
270#117—81no—
271#117—81no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4C22⋊C411yescharacteristic
280C2×C4⋊C4C22⋊C411yescharacteristic
281C2×C4⋊C4C22⋊C411yescharacteristic
282C2×C4⋊C4C22⋊C411yescharacteristic
283C2×C4⋊C4C22⋊C411yescharacteristic
284C2×C4⋊C4C22⋊C411yescharacteristic
285C2×C4⋊C4C22⋊C411yescharacteristic
286C2×C4⋊C4C22⋊C411yescharacteristic
287C2×C4⋊C4C22⋊C411yescharacteristic
288C2×C4⋊C4C22×C411yescharacteristic
289C2×C4⋊C4C22×C411yescharacteristic
290C2×C4⋊C4C22×C411yescharacteristic
291C2×C4⋊C4C22×C411yescharacteristic
292C2×C4⋊C4C22×C411yescharacteristic
293C2×C22⋊C4—21no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C42—21no—
314C2×C42—21no—
315C2×C42—21no—
316C2×C42—21no—
317C2×C42—81no—
318C2×C42—81no—
319C2×C42C22×C411yescharacteristic
320C2×C42C22×C411yescharacteristic
321C2×C42C22×C411yescharacteristic
322C2×C42C22×C411yescharacteristic
323C2×C42C22×C411yescharacteristic
324C2×C42C22×C411yescharacteristic
325C2×C42C2×D411yescharacteristic
326C2×C42C2×D411yescharacteristic
327C2×C42C2×D411yescharacteristic
328C2×C42C2×D411yescharacteristic
329C2×C42C2×D411yescharacteristic
330C2×C42C2×D411yescharacteristic
331C2×C42C2×D411yescharacteristic
332C2×C42C2×D411yescharacteristic
333C2×C42C2×D411yescharacteristic
334C2×C42C2×D411yescharacteristic
335C2×C42C2×D411yescharacteristic
336C2×C42C2×D411yescharacteristic
337C2×C42C2411yescharacteristic
338C4⋊C8—24no—
339C4⋊C8—24no—
340C4⋊C8—24no—
341C4⋊C8—21no—
342C4⋊C8—21no—
343C4⋊C8—21no—
344C4⋊C8—21no—
345C4⋊C8—21no—
346C4⋊C8—21no—
347C4⋊C8—21no—
348C4⋊C8—42no—
349C4⋊C8—42no—
350C4⋊C8—42no—
351C4⋊C8—81no—
352C4⋊C8—81no—
353C4⋊C8—81no—
354C4⋊C8#4112yes—
355#97—24no—
356#97—24no—
357#97—42no—
358#97—42no—
359#97—42no—
360#97—42no—
361C4×C8—24no—
362C4×C8—21no—
363C4×C8—21no—
364C4×C8—21no—
365C4×C8—21no—
366C4×C8—21no—
367C4×C8—21no—
368C4×C8—21no—
369C4×C8—42no—
370C4×C8—42no—
371C4×C8#4112yes—
372#95—21no—
373#95—21no—
374#95—21no—
375#95—21no—
376#95—21no—
377#95—21no—
378#95—21no—
379#95—21no—
380#95—21no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—21no—
385#95—21no—
386#95—21no—
387#95—21no—
388#95—21no—
389#95—21no—
390#95—21no—
391#95C22⋊C411yescharacteristic
392#95C22⋊C411yescharacteristic
393#95C22⋊C411yescharacteristic
394#95C22⋊C411yescharacteristic
395#95C22⋊C411yescharacteristic
396#95C22⋊C411yescharacteristic
397C24—21no—
398C24—21no—
399C2×Q8—22no—
400C2×Q8—22no—
401C2×Q8—21no—
402C2×Q8—21no—
403C2×Q8—21no—
404C2×Q8—21no—
405C2×Q8—21no—
406C2×Q8—21no—
407C2×Q8—41no—
408C2×D4—21no—
409C2×D4—21no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—42no—
420C2×D4—42no—
421C2×D4—42no—
422C2×D4—42no—
423C2×D4—81no—
424C2×D4—81no—
425C2×D4#13112yes—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—42no—
447C22×C4—81no—
448C22×C4—81no—
449C22×C4—81no—
450C22×C4C2×C22⋊C411yescharacteristic
451C22×C4C2×C22⋊C411yescharacteristic
452C22×C4C2×C22⋊C411yescharacteristic
453C22×C4C2×C22⋊C411yescharacteristic
454C22×C4C2×C22⋊C411yescharacteristic
455C22×C4C2×C22⋊C411yescharacteristic
456C22×C4C2×C22⋊C411yescharacteristic
457C22×C4C2×C22⋊C411yescharacteristic
458C22×C4C2×C22⋊C411yescharacteristic
459C22×C4C2×C22⋊C411yescharacteristic
460C22×C4C2×C22⋊C411yescharacteristic
461C22×C4C2×C22⋊C411yescharacteristic
462C22×C4C23×C411yescharacteristic
463C22×C4C22×D411yescharacteristic
464C22×C4C22×D411yescharacteristic
465C2×C8—22no—
466C2×C8—22no—
467C2×C8—22no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—41no—
479C2×C8—41no—
480C2×C8—41no—
481C2×C8—41no—
482C2×C8—41no—
483C2×C8—41no—
484C2×C8—41no—
485C2×C8—41no—
486C2×C8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C4⋊C4—22no—
490C4⋊C4—22no—
491C4⋊C4—22no—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—41no—
508C4⋊C4—41no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C4⋊C4—81no—
514C4⋊C4—81no—
515C4⋊C4#10414yes—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—41no—
523C22⋊C4—41no—
524C22⋊C4—41no—
525C22⋊C4—41no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—81no—
532C22⋊C4—81no—
533C22⋊C4—81no—
534C22⋊C4—81no—
535C22⋊C4—81no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—21no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—41no—
564C42—41no—
565C42—41no—
566C42—41no—
567C42—41no—
568C42—41no—
569C42—41no—
570C42—81no—
571C42—81no—
572C42AGL(1,ℤ/8)12yes—
573C42#13712yes—
574C42C2×#4111yescharacteristic
575C42C2×#4111yescharacteristic
576C42H(5,𝔽2)11yescharacteristic
577C422−1+411yescharacteristic
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C22×C22⋊C411yescharacteristic
593Q8—44no—
594Q8—41no—
595Q8—41no—
596Q8—41no—
597Q8—41no—
598D4—22no—
599D4—22no—
600D4—41no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—84no—
607D4—84no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
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—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—84no—
660C2×C4—84no—
661C2×C4—81no—
662C2×C4—81no—
663C2×C4—81no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4#41712yes—
670C2×C4#41712yes—
671C2×C4C2×#10412yes—
672C2×C4C2×#10412yes—
673C2×C4C2×#10412yes—
674C2×C4C4×#4111yescharacteristic
675C2×C4#52011yescharacteristic
676C2×C4#54811yescharacteristic
677C2×C4#54811yescharacteristic
678C2×C4#55011yescharacteristic
679C2×C4#55011yescharacteristic
680C2×C4C2×#13111yescharacteristic
681C2×C4#56811yescharacteristic
682C2×C4#56811yescharacteristic
683C2×C4#56811yescharacteristic
684C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
685C2×C4C2×#13711yescharacteristic
686C2×C4#57611yescharacteristic
687C2×C4#57711yescharacteristic
688C8—24no—
689C8—42no—
690C8—42no—
691C8—42no—
692C8—42no—
693C8—81no—
694C8—81no—
695C8—81no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22#234111yescharacteristic
711C22#287911yescharacteristic
712C22#288011yescharacteristic
713C22C2×#41711yescharacteristic
714C22#289711yescharacteristic
715C22C22×#10411yescharacteristic
716C22#290111yescharacteristic
717C4—21no—
718C4—21no—
719C4—22no—
720C4—22no—
721C4—22no—
722C4—22no—
723C4—22no—
724C4—41no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—41no—
729C4—41no—
730C4—41no—
731C4—81no—
732C4—81no—
733C4—81no—
734C4—81no—
735C4—81no—
736C4—81no—
737C4#296711yescharacteristic
738C4#296811yescharacteristic
739C4#299211yescharacteristic
740C4#299511yescharacteristic
741C4#337311yescharacteristic
742C4#337511yescharacteristic
743C4#339911yescharacteristic
744C4#340011yescharacteristic
745C2—82no—
746C2—161no—
747C2#1750411yescharacteristic
748C2#1750511yescharacteristic
749C2#1751211yescharacteristic
750C2#1751711yescharacteristic
751C2#2253311yescharacteristic
752C2#2254611yescharacteristic
753C2#2255011yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
socleC23C22×C22⋊C4
prime radicalC2×#127C2×C4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C42×Q8 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #22722C2semidirect
3. C4×#446C2semidirect
5. #9676C2semidirect
6. #9675C2semidirect
7. #9646C2semidirect
8. #9646C2semidirect
10. #8568C2semidirect
11. #8567C2semidirect
12. #8563C2semidirect
13. #8181C2semidirect
14. #8176C2semidirect
15. #8172C2semidirect

Maximal subgroups

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

subgroupindex
#349182
#227222
C4×#4462
#96782
#96762
#96752
#96462
#96382
#85682
#85672
#85632
#81812
#81762
#81722