Finite Group Databasebeta

← #195822

Subgroups — #195822

Order 512.

1636 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2920C211yesmaximal, characteristic, complemented
2C4×#525C211yesmaximal, characteristic
3C2×#1797C211yesmaximal, characteristic, complemented
4C2×#1477C212yesmaximal, complemented
5#9078C212yesmaximal, complemented
6#9077C212yesmaximal, complemented
7#9076C212yesmaximal, complemented
8#9075C212yesmaximal, complemented
9#7891C212yesmaximal, complemented
10C2×#525C411yescharacteristic
11C2×C4×#41C2211yescharacteristic
12C23×C42C2211yescharacteristic
13#2920—28no—
14C2×#432—21no—
15C2×#432—21no—
16C2×#431C2212yes—
17C2×#431C2212yes—
18C2×#423—21no—
19C22×C4⋊C8C2212yes—
20C2×#407—21no—
21C22×C22⋊C8—21no—
22C2×C4×M16C2212yes—
23C4×C22⋊Q8C411yescharacteristic
24C4×C22⋊Q8C411yescharacteristic
25C4×C22⋊Q8C2211yescharacteristic
26C4×C22⋊Q8C2211yescharacteristic
27C4×#123—21no—
28C4×#123—21no—
29C4×#121C411yescharacteristic
30C4×#121C411yescharacteristic
31C4×#121C2211yescharacteristic
32C4×#121C2211yescharacteristic
33C4×#120—21no—
34C4×#120—21no—
35#2297C411yescharacteristic
36#2296C411yescharacteristic
37#2290—21no—
38#2290—21no—
39#2280C411yescharacteristic
40C42×D4—21no—
41C42×D4—21no—
42C4×#117C2211yescharacteristic
43#1797—21no—
44#1797—21no—
45#1797C2212yes—
46#1797C2212yes—
47C2×#336—21no—
48#1477—28no—
49C2×Q8⋊C8C2214yescomplemented
50C2×D4⋊C8C2214yescomplemented
51#1279C2214yescomplemented
52#1279C2214yescomplemented
53C22×#41C2×C411yescharacteristic
54C24×C4C2×C411yescharacteristic
55C24×C4D411yescharacteristic
56C24×C4D411yescharacteristic
57C22×M16—22no—
58C23×C8—22no—
59#525—24no—
60#525—24no—
61C2×#123—21no—
62C2×C22⋊Q8C2×C411yescharacteristic
63C2×C22⋊Q8C2×C411yescharacteristic
64C2×#121C2×C411yescharacteristic
65C2×#121C2×C411yescharacteristic
66C2×#120—21no—
67C4×#41—24no—
68C4×#41—24no—
69C2×C4×Q8C2×C411yescharacteristic
70C2×C4×Q8C2311yescharacteristic
71C2×C4×D4—21no—
72C2×C4×D4—21no—
73C2×C4×D4—21no—
74C2×C4×D4—21no—
75C2×C4×D4—21no—
76C2×C4×D4—21no—
77C2×C4×D4—21no—
78C2×C4×D4—21no—
79C2×C4×D4C2×C411yescharacteristic
80C2×C4×D4C2311yescharacteristic
81C2×#117—21no—
82C2×#117C2×C411yescharacteristic
83C2×#117C2×C411yescharacteristic
84C2×#117C2×C411yescharacteristic
85C22×C42—24no—
86C22×C42—24no—
87C22×C42—21no—
88C22×C42C2×C411yescharacteristic
89C22×C42C2×C411yescharacteristic
90C22×C42C2×C411yescharacteristic
91C22×C42D411yescharacteristic
92C22×C42D411yescharacteristic
93C22×C42D411yescharacteristic
94C22×C42D411yescharacteristic
95C22×C42D411yescharacteristic
96C22×C42D411yescharacteristic
97C22×C42C2311yescharacteristic
98C22×C42C2311yescharacteristic
99C22×C42C2311yescharacteristic
100#432—28no—
101#432—28no—
102#431—24no—
103#431—28no—
104#431D418yescomplemented
105#423—28no—
106C2×C4⋊C8—22no—
107C2×C4⋊C8—22no—
108C2×C4⋊C8—24no—
109C2×C4⋊C8—24no—
110C2×C4⋊C8—22no—
111C2×C4⋊C8C2314yes—
112#407—28no—
113C2×C22⋊C8—22no—
114C2×C22⋊C8—22no—
115C2×C22⋊C8—22no—
116C2×C22⋊C8—22no—
117C2×C22⋊C8—44no—
118C4×M16—28no—
119C2×#97—22no—
120C2×C4×C8C2314yes—
121#391C2×C411yescharacteristic
122#391C2×C411yescharacteristic
123#390C2×C411yescharacteristic
124#390C2×C411yescharacteristic
125#389C2×C411yescharacteristic
126#389C2×C411yescharacteristic
127#389C2×C411yescharacteristic
128#389C2×C411yescharacteristic
129#388—21no—
130#388—21no—
131#388—21no—
132#388—21no—
133#387—21no—
134#387—21no—
135#387—21no—
136#387—21no—
137#386—21no—
138#386—21no—
139#386—21no—
140#386—21no—
141#386—21no—
142#386—21no—
143#385—21no—
144#385—21no—
145#385—21no—
146#385—21no—
147#385—21no—
148#385—21no—
149#381—21no—
150#380C2×C411yescharacteristic
151#380C2×C411yescharacteristic
152#380C2×C411yescharacteristic
153#380C2×C411yescharacteristic
154#379—21no—
155C4×C4⋊C4—21no—
156C4×C4⋊C4—21no—
157C4×C4⋊C4—21no—
158C4×C4⋊C4—21no—
159C4×C4⋊C4—21no—
160C4×C4⋊C4—21no—
161C4×C4⋊C4C2×C411yescharacteristic
162C4×C4⋊C4C2×C411yescharacteristic
163C4×C4⋊C4C2311yescharacteristic
164C4×C4⋊C4C2311yescharacteristic
165C4×C22⋊C4—21no—
166C4×C22⋊C4—21no—
167C4×C22⋊C4—21no—
168C4×C22⋊C4—21no—
169C4×C22⋊C4—21no—
170C4×C22⋊C4—21no—
171C4×C22⋊C4—21no—
172C4×C22⋊C4—21no—
173C4×C22⋊C4—21no—
174C4×C22⋊C4—21no—
175C4×C22⋊C4—21no—
176C4×C22⋊C4—21no—
177C4×C22⋊C4—21no—
178C4×C22⋊C4—21no—
179#376—21no—
180C43—21no—
181#336—22no—
182#336—22no—
183Q8⋊C8—28no—
184D4⋊C8—28no—
185C25C22⋊C411yescharacteristic
186C2×#41—22no—
187C2×#41—24no—
188C2×#41—24no—
189C2×#41M1614yescomplemented
190C22×Q8C22×C411yescharacteristic
191C22×D4—21no—
192C22×D4—21no—
193C22×D4—21no—
194C22×D4C22×C411yescharacteristic
195C23×C4—21no—
196C23×C4—24no—
197C23×C4—22no—
198C23×C4—24no—
199C23×C4—22no—
200C23×C4—22no—
201C23×C4—22no—
202C23×C4—24no—
203C23×C4—22no—
204C23×C4—22no—
205C23×C4—21no—
206C23×C4—21no—
207C23×C4—42no—
208C23×C4—42no—
209C23×C4—42no—
210C23×C4C22⋊C411yescharacteristic
211C23×C4C22⋊C411yescharacteristic
212C23×C4C22⋊C411yescharacteristic
213C23×C4C22⋊C411yescharacteristic
214C23×C4C22⋊C411yescharacteristic
215C23×C4C22⋊C411yescharacteristic
216C23×C4C22⋊C411yescharacteristic
217C23×C4C22⋊C411yescharacteristic
218C23×C4C22⋊C411yescharacteristic
219C23×C4C22×C411yescharacteristic
220C23×C4C22×C411yescharacteristic
221C23×C4C22×C411yescharacteristic
222C23×C4C2×D411yescharacteristic
223C23×C4C2×D411yescharacteristic
224C23×C4C2×D411yescharacteristic
225C23×C4C2×D411yescharacteristic
226C23×C4C2×D411yescharacteristic
227C23×C4C2×D411yescharacteristic
228C2×M16—28no—
229C2×M16—44no—
230C2×M16—44no—
231C22×C8—24no—
232C22×C8—24no—
233C22×C8—44no—
234C22×C8—44no—
235C22×C8—44no—
236#123—28no—
237C22⋊Q8—22no—
238C22⋊Q8—22no—
239C22⋊Q8—22no—
240C22⋊Q8—22no—
241#121—22no—
242#121—22no—
243#121—22no—
244#121—22no—
245#120—28no—
246C4×Q8—24no—
247C4×Q8—22no—
248C4×Q8—22no—
249C4×D4—28no—
250C4×D4—28no—
251C4×D4—24no—
252C4×D4—22no—
253C4×D4—22no—
254C4×D4—44no—
255C4×D4—44no—
256C4×D4—44no—
257C4×D4—42no—
258C4×D4—44no—
259C4×D4—42no—
260C4×D4—42no—
261C4×D4—42no—
262#117—22no—
263#117—24no—
264#117—24no—
265#117—42no—
266#117—42no—
267#117M1614yescomplemented
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4C22×C411yescharacteristic
277C2×C4⋊C4C22×C411yescharacteristic
278C2×C4⋊C4C22×C411yescharacteristic
279C2×C4⋊C4C22×C411yescharacteristic
280C2×C4⋊C4C22×C411yescharacteristic
281C2×C4⋊C4C22×C411yescharacteristic
282C2×C22⋊C4—21no—
283C2×C22⋊C4—21no—
284C2×C22⋊C4—21no—
285C2×C22⋊C4—21no—
286C2×C22⋊C4—21no—
287C2×C22⋊C4—21no—
288C2×C22⋊C4—21no—
289C2×C22⋊C4—21no—
290C2×C22⋊C4—21no—
291C2×C22⋊C4—21no—
292C2×C22⋊C4—21no—
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×C42—21no—
300C2×C42—24no—
301C2×C42—22no—
302C2×C42—24no—
303C2×C42—22no—
304C2×C42—24no—
305C2×C42—24no—
306C2×C42—22no—
307C2×C42—22no—
308C2×C42—24no—
309C2×C42—24no—
310C2×C42—22no—
311C2×C42—22no—
312C2×C42—22no—
313C2×C42—22no—
314C2×C42—22no—
315C2×C42—22no—
316C2×C42—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42—21no—
322C2×C42—21no—
323C2×C42—21no—
324C2×C42—44no—
325C2×C42C22⋊C411yescharacteristic
326C2×C42C22⋊C411yescharacteristic
327C2×C42C22⋊C411yescharacteristic
328C2×C42C22⋊C411yescharacteristic
329C2×C42C22⋊C411yescharacteristic
330C2×C42C22⋊C411yescharacteristic
331C2×C42C22×C411yescharacteristic
332C2×C42C22×C411yescharacteristic
333C2×C42C22×C411yescharacteristic
334C2×C42C2×D411yescharacteristic
335C2×C42C2×D411yescharacteristic
336C2×C42C2×D411yescharacteristic
337C2×C42C2×D411yescharacteristic
338C2×C42C2×D414yes—
339C2×C42C2×D411yescharacteristic
340C2×C42C2×D411yescharacteristic
341C2×C42#4114yes—
342C2×C42C2411yescharacteristic
343C4⋊C8—28no—
344C4⋊C8—28no—
345C4⋊C8—24no—
346C4⋊C8—24no—
347C4⋊C8—44no—
348C22⋊C8—28no—
349C22⋊C8—28no—
350C22⋊C8—44no—
351C22⋊C8—44no—
352#97—28no—
353C4×C8—24no—
354C4×C8C2×D418yes—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95—21no—
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—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—21no—
375C24—22no—
376C24—22no—
377C24—41no—
378C24—41no—
379C24C2×C22⋊C411yescharacteristic
380C24C2×C22⋊C411yescharacteristic
381C24C2×C22⋊C411yescharacteristic
382#41—216no—
383#41—48no—
384C2×Q8—21no—
385C2×Q8—22no—
386C2×Q8—22no—
387C2×Q8C2×M1612yes—
388C2×D4—24no—
389C2×D4—24no—
390C2×D4—24no—
391C2×D4—22no—
392C2×D4—21no—
393C2×D4—22no—
394C2×D4—42no—
395C2×D4—42no—
396C2×D4—42no—
397C2×D4—42no—
398C2×D4—42no—
399C2×D4—42no—
400C2×D4C2×M1612yes—
401C22×C4—22no—
402C22×C4—21no—
403C22×C4—22no—
404C22×C4—21no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—48no—
464C22×C4—48no—
465C22×C4—48no—
466C22×C4—48no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—48no—
472C22×C4—48no—
473C22×C4—42no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4C2×C22⋊C411yescharacteristic
479C22×C4C2×C22⋊C411yescharacteristic
480C22×C4C2×C22⋊C411yescharacteristic
481C22×C4C2×C22⋊C411yescharacteristic
482C22×C4C2×C22⋊C411yescharacteristic
483C22×C4C2×C22⋊C411yescharacteristic
484C22×C4C2×C22⋊C411yescharacteristic
485C22×C4C2×C22⋊C411yescharacteristic
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C4×D414yes—
488C22×C4#12012yes—
489C22×C4#12114yes—
490C22×C4#12312yes—
491C22×C4C2×M1612yes—
492C22×C4C2×M1612yes—
493C22×C4#13114yes—
494C22×C4AGL(1,ℤ/8)12yes—
495C22×C4#13712yes—
496C22×C4C23×C411yescharacteristic
497C22×C4C22×D411yescharacteristic
498C22×C4C22×D411yescharacteristic
499M16—416no—
500C2×C8—28no—
501C2×C8—44no—
502C2×C8—44no—
503C2×C8—44no—
504C2×C8—44no—
505C2×C8—44no—
506C2×C8—88no—
507C4⋊C4—24no—
508C4⋊C4—24no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—41no—
518C4⋊C4—41no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4C2×M1612yes—
523C4⋊C4C2×M1612yes—
524C22⋊C4—24no—
525C22⋊C4—24no—
526C22⋊C4—24no—
527C22⋊C4—24no—
528C22⋊C4—24no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C42—22no—
543C42—22no—
544C42—21no—
545C42—21no—
546C42—22no—
547C42—22no—
548C42—21no—
549C42—21no—
550C42—22no—
551C42—22no—
552C42—22no—
553C42—22no—
554C42—22no—
555C42—22no—
556C42—24no—
557C42—42no—
558C42—42no—
559C42—42no—
560C42—41no—
561C42—41no—
562C42—42no—
563C42—42no—
564C42—42no—
565C42—42no—
566C42C4×D414yes—
567C42#12012yes—
568C42#12114yes—
569C42#12312yes—
570C42C22×D412yes—
571C42C2×#4112yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—28no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23#38612yes—
603C23#40712yes—
604C23#40812yes—
605C23#41712yes—
606C23#42112yes—
607C23C22×C22⋊C411yescharacteristic
608Q8—24no—
609Q8—42no—
610D4—24no—
611D4—48no—
612D4—48no—
613D4—48no—
614D4—42no—
615C2×C4—24no—
616C2×C4—24no—
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—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
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—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—44no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—48no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
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—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—84no—
685C2×C4—82no—
686C2×C4—82no—
687C2×C4#38612yes—
688C2×C4#38612yes—
689C2×C4#38612yes—
690C2×C4#40712yes—
691C2×C4#40812yes—
692C2×C4#41712yes—
693C2×C4#42112yes—
694C2×C4#43518yes—
695C2×C4#43618yes—
696C2×C4C2×C4×D412yes—
697C2×C4C2×#12011yescharacteristic
698C2×C4C2×#12112yes—
699C2×C4C2×#12311yescharacteristic
700C2×C4C22×M1611yescharacteristic
701C2×C4C22×M1611yescharacteristic
702C2×C4C2×#13112yes—
703C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
704C2×C4C2×#13711yescharacteristic
705C2×C4#57512yes—
706C8—48no—
707C8—84no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—416no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22—81no—
736C22#187014yes—
737C22C2×#38611yescharacteristic
738C22C2×#40711yescharacteristic
739C22C2×#40811yescharacteristic
740C22C2×#41711yescharacteristic
741C22#289611yescharacteristic
742C22C2×#42111yescharacteristic
743C22C2×#42111yescharacteristic
744C4—22no—
745C4—22no—
746C4—21no—
747C4—21no—
748C4—22no—
749C4—22no—
750C4—42no—
751C4—42no—
752C4—41no—
753C4—41no—
754C4—42no—
755C4—41no—
756C4—41no—
757C4—81no—
758C4—81no—
759C4—81no—
760C4—81no—
761C4#187014yes—
762C4C2×#43512yes—
763C4C2×#43612yes—
764C4#305512yes—
765C4#305612yes—
766C2—24no—
767C2—42no—
768C2—42no—
769C2—82no—
770C2#1745111yescharacteristic
771C2#1745211yescharacteristic
772C2#1746611yescharacteristic
773C2#1746711yescharacteristic
774C2C2×#187011yescharacteristic
775C2#2097111yescharacteristic
776C2#2097911yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
socleC23C22×C22⋊C4
prime radicalC2×#525C4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C23×C42 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2920C2semidirect
3. C2×#1797C2semidirect
4. C2×#1477C2semidirect
5. #9078C2semidirect
6. #9077C2semidirect
7. #9076C2semidirect
8. #9075C2semidirect
9. #7891C2semidirect
49. C2×Q8⋊C8C22semidirect
50. C2×D4⋊C8C22semidirect
51. #1279C22semidirect
52. #1279C22semidirect
104. #431D4semidirect
189. C2×#41M16semidirect
267. #117M16semidirect

Maximal subgroups

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

subgroupindex
C2×#29202
C4×#5252
C2×#17972
C2×#14772
#90782
#90772
#90762
#90752
#78912