Finite Group Databasebeta

← #165565

Subgroups — #165565

Order 512.

988 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36386C211yesmaximal, characteristic
2#22837C211yesmaximal, characteristic, complemented
3#22698C211yesmaximal, characteristic, complemented
4#7730C211yesmaximal, characteristic, complemented
5#7727C211yesmaximal, characteristic, complemented
6#7696C211yesmaximal, characteristic, complemented
7#7696C211yesmaximal, characteristic, complemented
8#7690C211yesmaximal, characteristic, complemented
9#7687C211yesmaximal, characteristic, complemented
10#7635C211yesmaximal, characteristic, complemented
11#7612C211yesmaximal, characteristic, complemented
12#7606C211yesmaximal, characteristic, complemented
13#7601C211yesmaximal, characteristic, complemented
14#7578C211yesmaximal, characteristic, complemented
15#7572C211yesmaximal, characteristic, complemented
16C2×#552C411yescharacteristic
17C2×#546C411yescharacteristic
18C2×#435—21no—
19#2861C2211yescharacteristic
20#2857C2211yescharacteristic
21#2850C2211yescharacteristic
22#2566C411yescharacteristic
23#2559—21no—
24#2559—21no—
25#2558—21no—
26#2558—21no—
27#2545C411yescharacteristic
28#2534—21no—
29#2534—21no—
30#2503C411yescharacteristic
31#2500C411yescharacteristic
32#2435C411yescharacteristic
33#2432C411yescharacteristic
34#2342—21no—
35#2342—21no—
36C4×#124C2211yescharacteristic
37#2297C2211yescharacteristic
38C2×#390C2211yescharacteristic
39C42×D4C2211yescharacteristic
40#1955—21no—
41#1940—21no—
42#1924—21no—
43#1923—21no—
44#1851—21no—
45#1850—21no—
46#1831C2211yescharacteristic, complemented
47#1831C2211yescharacteristic, complemented
48#1817C2211yescharacteristic
49#1817C2211yescharacteristic, complemented
50#1797C2211yescharacteristic
51#1797C2211yescharacteristic, complemented
52#1771—21no—
53#1767C2211yescharacteristic, complemented
54#1767C2211yescharacteristic, complemented
55#1749C2211yescharacteristic, complemented
56C4×C22⋊C8C2211yescharacteristic
57#1728C2211yescharacteristic
58C2×#336C2211yescharacteristic, complemented
59#1272C2211yescharacteristic, complemented
60#1272C2211yescharacteristic, complemented
61#1272C2211yescharacteristic, complemented
62#1272C2211yescharacteristic, complemented
63#1272C2211yescharacteristic, complemented
64#1272C2211yescharacteristic, complemented
65#1272C2211yescharacteristic, complemented
66#1272C2211yescharacteristic, complemented
67#1270C2211yescharacteristic
68#1270C2211yescharacteristic
69#1270C2211yescharacteristic
70#1270C2211yescharacteristic
71#1270C2211yescharacteristic
72#1270C2211yescharacteristic
73#1270C2211yescharacteristic
74#1270C2211yescharacteristic
75C22×#41C2×C411yescharacteristic
76C23×D4C2×C411yescharacteristic
77C22×M16—21no—
78C23×C8—21no—
79#552—44no—
80#546—44no—
81C2×C4⋊Q8C2×C411yescharacteristic
82C2×#126—21no—
83C2×#125—21no—
84C2×#125C2×C411yescharacteristic
85C2×#124C2×C411yescharacteristic
86C2×#124C2×C411yescharacteristic
87C2×#124C2×C411yescharacteristic
88C2×#123—21no—
89C2×#123—21no—
90C2×C22⋊Q8C2×C411yescharacteristic
91C2×C22⋊Q8C2×C411yescharacteristic
92C2×C22⋊Q8C2×C411yescharacteristic
93C2×#121—21no—
94C2×#121C2×C411yescharacteristic
95C2×#120—21no—
96C2×C4×Q8C2×C411yescharacteristic
97C2×C4×D4C2×C411yescharacteristic
98C2×C4×D4C2×C411yescharacteristic
99C2×C4×D4D411yescharacteristic
100C2×C4×D4D411yescharacteristic
101C2×#117—21no—
102C2×#117C2×C411yescharacteristic
103C22×C4⋊C4C2×C411yescharacteristic
104C22×C22⋊C4—21no—
105C22×C22⋊C4—21no—
106C22×C22⋊C4—21no—
107C22×C42C2311yescharacteristic
108C22×C42C2311yescharacteristic
109#435—44no—
110C2×C4⋊C8—21no—
111C2×C4⋊C8—21no—
112C2×C4⋊C8—21no—
113C2×C4⋊C8—21no—
114C2×C4⋊C8—21no—
115C2×C4⋊C8—21no—
116C2×C22⋊C8—21no—
117C2×C22⋊C8—21no—
118C2×C22⋊C8—21no—
119C2×C22⋊C8—21no—
120C2×C22⋊C8—21no—
121C2×C22⋊C8—21no—
122C2×#97—21no—
123C2×#97—21no—
124C2×#97—21no—
125C2×C4×C8—21no—
126#400—21no—
127#400—21no—
128#396—21no—
129#396—21no—
130#396—21no—
131#396—21no—
132#394—21no—
133#394—21no—
134#394—21no—
135#394—21no—
136#394—21no—
137#394—21no—
138#391C2×C411yescharacteristic
139#391C2×C411yescharacteristic
140#391C2311yescharacteristic
141#391C2311yescharacteristic
142#390—21no—
143#390—21no—
144#390C2×C411yescharacteristic
145#390C2×C411yescharacteristic
146#390C2×C411yescharacteristic
147#390C2×C411yescharacteristic
148#390C2311yescharacteristic
149#390C2311yescharacteristic
150#389—21no—
151#389—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#388—21no—
162#388—21no—
163#388—21no—
164#386—21no—
165#386—21no—
166#386—21no—
167#386—21no—
168#385—21no—
169#385—21no—
170#385—21no—
171#385—21no—
172#384C2×C411yescharacteristic
173#382C2×C411yescharacteristic
174#382C2×C411yescharacteristic
175#381—21no—
176#381—21no—
177#380—21no—
178#380—21no—
179#379—21no—
180#379—21no—
181C4×C4⋊C4C2×C411yescharacteristic
182C4×C4⋊C4D411yescharacteristic
183C4×C4⋊C4D411yescharacteristic
184C4×C22⋊C4—21no—
185C4×C22⋊C4—21no—
186C4×C22⋊C4—21no—
187C4×C22⋊C4—21no—
188C4×C22⋊C4C2×C411yescharacteristic
189C4×C22⋊C4C2×C411yescharacteristic
190C4×C22⋊C4D411yescharacteristic
191C4×C22⋊C4D411yescharacteristic
192C4×C22⋊C4D411yescharacteristic
193C4×C22⋊C4D411yescharacteristic
194C43C2311yescharacteristic
195#336—21no—
196#336—21no—
197#336—21no—
198#336—21no—
199#336—21no—
200#336—21no—
201#336C2311yescharacteristic
202#336C2311yescharacteristic
203#336C2311yescharacteristic
204#336C2311yescharacteristic
205#336C2311yescharacteristic
206#336C2311yescharacteristic
207#336C2311yescharacteristic
208#336C2311yescharacteristic
209C25—21no—
210C2×#41—22no—
211C2×#41—41no—
212C2×#41—42no—
213C2×#41—81no—
214C22×Q8C22×C411yescharacteristic
215C22×Q8C22×C411yescharacteristic
216C22×D4—22no—
217C22×D4—21no—
218C22×D4—21no—
219C22×D4—21no—
220C22×D4—41no—
221C22×D4—42no—
222C22×D4—81no—
223C22×D4C22⋊C411yescharacteristic
224C22×D4C22×C411yescharacteristic
225C22×D4C22×C411yescharacteristic
226C23×C4—21no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4C22×C411yescharacteristic
230C23×C4C22×C411yescharacteristic
231C23×C4C2×D411yescharacteristic
232C23×C4C2×D411yescharacteristic
233C23×C4C2×D411yescharacteristic
234C23×C4C2×D411yescharacteristic
235C2×M16—42no—
236C2×M16—42no—
237C2×M16—81no—
238C22×C8—21no—
239C22×C8—21no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—21no—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—42no—
247C22×C8—42no—
248C22×C8—81no—
249C4⋊Q8—81no—
250#126—44no—
251#125—42no—
252#125—44no—
253#124—22no—
254#124—41no—
255#124—42no—
256#124—81no—
257#123—44no—
258#123—44no—
259C22⋊Q8—42no—
260C22⋊Q8—42no—
261C22⋊Q8—42no—
262#121—42no—
263#121—44no—
264#120—44no—
265C4×Q8—42no—
266C4×D4—22no—
267C4×D4—22no—
268C4×D4—24no—
269C4×D4—41no—
270C4×D4—41no—
271C4×D4—42no—
272#117—44no—
273#117—42no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—21no—
283C2×C4⋊C4—21no—
284C2×C4⋊C4—21no—
285C2×C4⋊C4—42no—
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×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4C22⋊C411yescharacteristic
323C2×C22⋊C4C22⋊C411yescharacteristic
324C2×C22⋊C4C22⋊C411yescharacteristic
325C2×C22⋊C4C22⋊C411yescharacteristic
326C2×C22⋊C4C22⋊C411yescharacteristic
327C2×C22⋊C4C22⋊C411yescharacteristic
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—81no—
331C2×C42—81no—
332C2×C42C22×C411yescharacteristic
333C2×C42C22×C411yescharacteristic
334C2×C42C22×C411yescharacteristic
335C2×C42C22×C411yescharacteristic
336C2×C42C2×D411yescharacteristic
337C2×C42C2×D411yescharacteristic
338C2×C42C2×D411yescharacteristic
339C2×C42C2×D411yescharacteristic
340C2×C42C2×D411yescharacteristic
341C2×C42C2×D411yescharacteristic
342C2×C42C2×D411yescharacteristic
343C2×C42C2×D411yescharacteristic
344C2×C42C2411yescharacteristic
345C4⋊C8—42no—
346C4⋊C8—42no—
347C4⋊C8—42no—
348C4⋊C8—42no—
349C4⋊C8—81no—
350C4⋊C8—81no—
351C22⋊C8—42no—
352C22⋊C8—42no—
353C22⋊C8—42no—
354C22⋊C8—42no—
355C22⋊C8—81no—
356C22⋊C8—81no—
357#97—42no—
358#97—42no—
359#97—81no—
360C4×C8—81no—
361#95—21no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366#95—21no—
367#95—21no—
368#95—21no—
369#95—21no—
370#95—21no—
371#95—21no—
372#95—21no—
373#95C22⋊C411yescharacteristic
374#95C22⋊C411yescharacteristic
375#95C22⋊C411yescharacteristic
376#95C22⋊C411yescharacteristic
377#95C22⋊C411yescharacteristic
378#95C22⋊C411yescharacteristic
379C24—21no—
380C24—21no—
381C24—42no—
382C24—42no—
383C24—42no—
384C24—42no—
385C24—81no—
386C24—81no—
387C24—81no—
388C24C2×C22⋊C411yescharacteristic
389C24C2×C22⋊C411yescharacteristic
390#41—84no—
391#41—84no—
392C2×Q8—21no—
393C2×Q8—21no—
394C2×Q8—21no—
395C2×Q8—21no—
396C2×Q8—41no—
397C2×Q8—41no—
398C2×Q8—41no—
399C2×Q8—41no—
400C2×D4—22no—
401C2×D4—22no—
402C2×D4—21no—
403C2×D4—21no—
404C2×D4—21no—
405C2×D4—41no—
406C2×D4—41no—
407C2×D4—41no—
408C2×D4—42no—
409C2×D4—41no—
410C2×D4—41no—
411C2×D4—42no—
412C2×D4—42no—
413C2×D4—42no—
414C2×D4—42no—
415C2×D4—81no—
416C2×D4—84no—
417C2×D4—84no—
418C2×D4—81no—
419C2×D4—81no—
420C2×D4—81no—
421C2×D4#13112yes—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—81no—
457C22×C4—81no—
458C22×C4—81no—
459C22×C4C2×C22⋊C411yescharacteristic
460C22×C4C2×C22⋊C411yescharacteristic
461C22×C4C2×C22⋊C411yescharacteristic
462C22×C4C2×C22⋊C411yescharacteristic
463C22×C4C2×C22⋊C411yescharacteristic
464C22×C4C2×C22⋊C411yescharacteristic
465C22×C4C2×C22⋊C411yescharacteristic
466C22×C4C2×C22⋊C411yescharacteristic
467C22×C4C2×C22⋊C411yescharacteristic
468C22×C4C2×C22⋊C411yescharacteristic
469C22×C4AGL(1,ℤ/8)12yes—
470C22×C4#13712yes—
471C22×C4C23×C411yescharacteristic
472C22×C4C22×D411yescharacteristic
473C22×C4C22×D411yescharacteristic
474M16—84no—
475C2×C8—22no—
476C2×C8—22no—
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—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—41no—
493C2×C8—41no—
494C2×C8—41no—
495C2×C8—41no—
496C2×C8—41no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—84no—
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—81no—
515C4⋊C4—81no—
516C4⋊C4—81no—
517C4⋊C4—81no—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—22no—
521C22⋊C4—41no—
522C22⋊C4—41no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4#10014yes—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—22no—
559C42—41no—
560C42—41no—
561C42—41no—
562C42—41no—
563C42—41no—
564C42—41no—
565C42—41no—
566C42—41no—
567C42—41no—
568C42—42no—
569C42—42no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—22no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—84no—
597C23—84no—
598C23—84no—
599C23—84no—
600C23—162no—
601C23—162no—
602C23—162no—
603C23C2×#10012yes—
604C23#41712yes—
605C23C22×C22⋊C411yescharacteristic
606Q8—81no—
607Q8—81no—
608Q8—81no—
609Q8—81no—
610D4—42no—
611D4—42no—
612D4—44no—
613D4—84no—
614D4—81no—
615D4—81no—
616D4—84no—
617D4—162no—
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—21no—
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—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
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—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—162no—
684C2×C4C2×#10012yes—
685C2×C4C2×#10012yes—
686C2×C4#41712yes—
687C2×C4C2×#13111yescharacteristic
688C2×C4#56811yescharacteristic
689C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
690C2×C4C2×#13711yescharacteristic
691C2×C4#57511yescharacteristic
692C2×C4#57511yescharacteristic
693C8—42no—
694C8—42no—
695C8—81no—
696C8—81no—
697C8—81no—
698C8—81no—
699C8—81no—
700C8—81no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—168no—
730C22#288011yescharacteristic
731C22#288311yescharacteristic
732C22C22×#10011yescharacteristic
733C22C2×#41711yescharacteristic
734C22#289611yescharacteristic
735C22#290111yescharacteristic
736C22#290111yescharacteristic
737C4—21no—
738C4—21no—
739C4—22no—
740C4—22no—
741C4—21no—
742C4—21no—
743C4—22no—
744C4—21no—
745C4—21no—
746C4—41no—
747C4—41no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—81no—
754C4—81no—
755C4—81no—
756C4—81no—
757C4—81no—
758C4—81no—
759C2—42no—
760C2—42no—
761C2—82no—
762C2—161no—
763C2#1742111yescharacteristic
764C2#1751211yescharacteristic
765C2#1751311yescharacteristic
766C2#1762211yescharacteristic
767C2#1762511yescharacteristic
768C2#1768511yescharacteristic
769C2#1775011yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
prime radicalC2×#546C4
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C2×C42 ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #22837C2semidirect
3. #22698C2semidirect
4. #7730C2semidirect
5. #7727C2semidirect
6. #7696C2semidirect
7. #7696C2semidirect
8. #7690C2semidirect
9. #7687C2semidirect
10. #7635C2semidirect
11. #7612C2semidirect
12. #7606C2semidirect
13. #7601C2semidirect
14. #7578C2semidirect
15. #7572C2semidirect
46. #1831C22semidirect
47. #1831C22semidirect
49. #1817C22semidirect
51. #1797C22semidirect
53. #1767C22semidirect
54. #1767C22semidirect
55. #1749C22semidirect
58. C2×#336C22semidirect
59. #1272C22semidirect
60. #1272C22semidirect
61. #1272C22semidirect
62. #1272C22semidirect
63. #1272C22semidirect
64. #1272C22semidirect
65. #1272C22semidirect
66. #1272C22semidirect

Maximal subgroups

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

subgroupindex
#363862
#228372
#226982
#77302
#77272
#76962
#76902
#76872
#76352
#76122
#76062
#76012
#75782
#75722