Finite Group Databasebeta

← #196021

Subgroups — #196021

Order 512.

1616 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2920C211yesmaximal, characteristic, complemented
2C2×C4×#123C211yesmaximal, characteristic
3#20682C211yesmaximal, characteristic, complemented
4C2×#1465C212yesmaximal
5#9086C212yesmaximal, complemented
6#9084C212yesmaximal, complemented
7#9082C212yesmaximal, complemented
8#9080C212yesmaximal, complemented
9#7911C212yesmaximal, complemented
10C22×#123C411yescharacteristic
11C22×C4×D4C2211yescharacteristic
12C23×C42C2211yescharacteristic
13#2920—28no—
14C2×#432—21no—
15C2×#432C2212yes—
16C2×#431—21no—
17C2×#431C2212yes—
18C2×#423—21no—
19C2×#407C2212yes—
20C2×#407C2212yes—
21C2×C4×M16—21no—
22C4×#123—21no—
23C4×#123—21no—
24C4×#123—21no—
25C4×#123—21no—
26C4×#123—21no—
27C4×#123—21no—
28C4×#123—21no—
29C4×#123—21no—
30C2×#388C2211yescharacteristic
31C2×#388C2211yescharacteristic
32C2×#387C2211yescharacteristic
33C2×#387C2211yescharacteristic
34C2×#386C411yescharacteristic
35C2×#385C411yescharacteristic
36C2×#381C411yescharacteristic
37C2×C4×C4⋊C4C411yescharacteristic
38C2×C4×C4⋊C4C411yescharacteristic
39C2×C4×C22⋊C4C411yescharacteristic
40C2×C4×C22⋊C4C411yescharacteristic
41C2×C4×C22⋊C4C2211yescharacteristic
42#1817—21no—
43#1817—21no—
44#1817C2212yes—
45#1817C2212yes—
46#1728—21no—
47#1728—21no—
48#1465—28no—
49C2×#324C2214yes—
50C2×#323C2214yes—
51#1280C2214yes—
52#1280C2214yes—
53C23×D4C2×C411yescharacteristic
54C24×C4C2×C411yescharacteristic
55C24×C4C2×C411yescharacteristic
56C24×C4C2×C411yescharacteristic
57C24×C4C2311yescharacteristic
58C22×M16—22no—
59C22×M16—22no—
60C2×#123—21no—
61C2×#123—21no—
62C2×#123—21no—
63C2×#123—21no—
64C2×#123—24no—
65C2×#123—24no—
66C2×C4×D4—24no—
67C2×C4×D4—21no—
68C2×C4×D4—21no—
69C2×C4×D4—21no—
70C2×C4×D4—21no—
71C2×C4×D4—24no—
72C22×C4⋊C4C2×C411yescharacteristic
73C22×C4⋊C4C2×C411yescharacteristic
74C22×C4⋊C4C2×C411yescharacteristic
75C22×C4⋊C4C2×C411yescharacteristic
76C22×C4⋊C4C2311yescharacteristic
77C22×C22⋊C4C2×C411yescharacteristic
78C22×C22⋊C4C2×C411yescharacteristic
79C22×C22⋊C4C2×C411yescharacteristic
80C22×C22⋊C4C2×C411yescharacteristic
81C22×C22⋊C4C2×C411yescharacteristic
82C22×C22⋊C4C2×C411yescharacteristic
83C22×C22⋊C4C2×C411yescharacteristic
84C22×C22⋊C4C2311yescharacteristic
85C22×C42—24no—
86C22×C42—24no—
87C22×C42C2×C411yescharacteristic
88C22×C42C2×C411yescharacteristic
89C22×C42C2×C411yescharacteristic
90C22×C42C2×C411yescharacteristic
91C22×C42C2×C411yescharacteristic
92C22×C42D411yescharacteristic
93C22×C42D411yescharacteristic
94C22×C42D411yescharacteristic
95C22×C42D411yescharacteristic
96C22×C42D411yescharacteristic
97C22×C42D411yescharacteristic
98C22×C42D411yescharacteristic
99C22×C42D411yescharacteristic
100C22×C42C2311yescharacteristic
101C22×C42C2311yescharacteristic
102#432—28no—
103#432—28no—
104#431—28no—
105#431—28no—
106#423—28no—
107C2×C4⋊C8—22no—
108C2×C4⋊C8—22no—
109#407—24no—
110#407—24no—
111#407—24no—
112#407D418yes—
113C2×C22⋊C8—22no—
114C2×C22⋊C8—22no—
115C2×C22⋊C8C2314yes—
116C2×C22⋊C8C2314yes—
117C4×M16—28no—
118C2×#97—22no—
119C2×C4×C8—22no—
120#388—21no—
121#388—21no—
122#388—21no—
123#388—21no—
124#388—21no—
125#388—21no—
126#388—21no—
127#388—21no—
128#387—21no—
129#387—21no—
130#387—21no—
131#387—21no—
132#387—21no—
133#387—21no—
134#387—21no—
135#387—21no—
136#386—21no—
137#386—21no—
138#386—21no—
139#386—21no—
140#385—21no—
141#385—21no—
142#385—21no—
143#385—21no—
144#381—21no—
145#381—21no—
146#381—21no—
147#381—21no—
148C4×C4⋊C4—21no—
149C4×C4⋊C4—21no—
150C4×C4⋊C4—21no—
151C4×C4⋊C4—21no—
152C4×C4⋊C4—21no—
153C4×C4⋊C4—21no—
154C4×C4⋊C4—21no—
155C4×C4⋊C4—21no—
156C4×C22⋊C4—21no—
157C4×C22⋊C4—21no—
158C4×C22⋊C4—21no—
159C4×C22⋊C4—21no—
160C4×C22⋊C4—21no—
161C4×C22⋊C4—21no—
162C4×C22⋊C4—21no—
163C4×C22⋊C4—21no—
164C4×C22⋊C4—21no—
165C4×C22⋊C4—21no—
166C4×C22⋊C4—21no—
167C4×C22⋊C4—21no—
168C2×#95C2×C411yescharacteristic
169C2×#95C2×C411yescharacteristic
170C2×#95C2×C411yescharacteristic
171C2×#95C2×C411yescharacteristic
172C2×#95C2×C411yescharacteristic
173C2×#95C2×C411yescharacteristic
174C2×#95C2×C411yescharacteristic
175C2×#95C2×C411yescharacteristic
176C2×#95C2311yescharacteristic
177C2×#95C2311yescharacteristic
178#336—22no—
179#336—22no—
180#336—22no—
181#336—22no—
182#324—28no—
183#323—28no—
184C25C22×C411yescharacteristic
185C25C22×C411yescharacteristic
186C22×D4—21no—
187C22×D4—21no—
188C22×D4—22no—
189C22×D4—24no—
190C22×D4—22no—
191C22×D4—42no—
192C23×C4—24no—
193C23×C4—24no—
194C23×C4—22no—
195C23×C4—22no—
196C23×C4—21no—
197C23×C4—21no—
198C23×C4—24no—
199C23×C4—42no—
200C23×C4—42no—
201C23×C4—42no—
202C23×C4—42no—
203C23×C4—42no—
204C23×C4—42no—
205C23×C4—42no—
206C23×C4C22⋊C411yescharacteristic
207C23×C4C22⋊C411yescharacteristic
208C23×C4C22⋊C411yescharacteristic
209C23×C4C22⋊C411yescharacteristic
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×C4C22×C411yescharacteristic
223C23×C4C22×C411yescharacteristic
224C23×C4C22×C411yescharacteristic
225C23×C4C22×C411yescharacteristic
226C23×C4C2×D411yescharacteristic
227C23×C4C2×D411yescharacteristic
228C23×C4C2×D411yescharacteristic
229C23×C4C2×D411yescharacteristic
230C23×C4C2×D414yes—
231C23×C4#4114yes—
232C23×C4C2411yescharacteristic
233C2×M16—28no—
234C2×M16—44no—
235C2×M16—44no—
236C2×M16—44no—
237C2×M16—44no—
238C2×M16—44no—
239C22×C8—24no—
240C22×C8—24no—
241#123—28no—
242#123—28no—
243#123—28no—
244#123—28no—
245C4×D4—42no—
246C4×D4—42no—
247C4×D4—44no—
248C4×D4—44no—
249C4×D4—42no—
250C4×D4—42no—
251C2×C4⋊C4—21no—
252C2×C4⋊C4—21no—
253C2×C4⋊C4—21no—
254C2×C4⋊C4—21no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—21no—
259C2×C4⋊C4—21no—
260C2×C4⋊C4—21no—
261C2×C4⋊C4—21no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—21no—
264C2×C4⋊C4—21no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—42no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4M1614yescomplemented
269C2×C22⋊C4—21no—
270C2×C22⋊C4—21no—
271C2×C22⋊C4—22no—
272C2×C22⋊C4—21no—
273C2×C22⋊C4—21no—
274C2×C22⋊C4—21no—
275C2×C22⋊C4—21no—
276C2×C22⋊C4—22no—
277C2×C22⋊C4—22no—
278C2×C22⋊C4—22no—
279C2×C22⋊C4—22no—
280C2×C22⋊C4—21no—
281C2×C22⋊C4—21no—
282C2×C22⋊C4—21no—
283C2×C22⋊C4—21no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—21no—
286C2×C22⋊C4—21no—
287C2×C22⋊C4—21no—
288C2×C22⋊C4—21no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—21no—
291C2×C22⋊C4—21no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—42no—
294C2×C22⋊C4—42no—
295C2×C22⋊C4—42no—
296C2×C22⋊C4M1614yescomplemented
297C2×C42—24no—
298C2×C42—24no—
299C2×C42—22no—
300C2×C42—22no—
301C2×C42—22no—
302C2×C42—22no—
303C2×C42—24no—
304C2×C42—24no—
305C2×C42—24no—
306C2×C42—24no—
307C2×C42—22no—
308C2×C42—22no—
309C2×C42—22no—
310C2×C42—22no—
311C2×C42—22no—
312C2×C42—22no—
313C2×C42—22no—
314C2×C42—22no—
315C2×C42—21no—
316C2×C42—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42—24no—
322C2×C42—42no—
323C2×C42—42no—
324C2×C42C22⋊C411yescharacteristic
325C2×C42C22⋊C411yescharacteristic
326C2×C42C22⋊C411yescharacteristic
327C2×C42C22⋊C411yescharacteristic
328C2×C42C22⋊C411yescharacteristic
329C2×C42C22⋊C411yescharacteristic
330C2×C42C22⋊C411yescharacteristic
331C2×C42C22⋊C411yescharacteristic
332C2×C42C2×D411yescharacteristic
333C2×C42C2×D411yescharacteristic
334C2×C42C2×D411yescharacteristic
335C2×C42C2×D411yescharacteristic
336C2×C42C2×D411yescharacteristic
337C2×C42C2×D411yescharacteristic
338C2×C42C2×D411yescharacteristic
339C2×C42C2×D411yescharacteristic
340C4⋊C8—28no—
341C4⋊C8—28no—
342C22⋊C8—28no—
343C22⋊C8—24no—
344C22⋊C8—24no—
345C22⋊C8—24no—
346C22⋊C8—44no—
347C22⋊C8C2×D418yes—
348#97—28no—
349C4×C8—28no—
350#95—21no—
351#95—21no—
352#95—21no—
353#95—21no—
354#95—21no—
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—
370C24—21no—
371C24—21no—
372C24—22no—
373C24—21no—
374C24—21no—
375C24—22no—
376C24—22no—
377C24—41no—
378C24—41no—
379C24—41no—
380C24—41no—
381C24—41no—
382C24—41no—
383C24—41no—
384C24—41no—
385C24C2×C22⋊C411yescharacteristic
386C24C2×C22⋊C411yescharacteristic
387C24C4×D414yes—
388C24C2×M1612yes—
389C24C23×C411yescharacteristic
390C2×D4—24no—
391C2×D4—24no—
392C2×D4—48no—
393C2×D4—48no—
394C2×D4—42no—
395C2×D4—42no—
396C2×D4—42no—
397C2×D4—42no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—48no—
447C22×C4—48no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
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—41no—
464C22×C4—48no—
465C22×C4—48no—
466C22×C4—416no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—88no—
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×C4C2×C22⋊C411yescharacteristic
496C22×C4C4×D414yes—
497C22×C4#12012yes—
498C22×C4#12012yes—
499C22×C4#12114yes—
500C22×C4#12114yes—
501C22×C4#12312yes—
502C22×C4#12312yes—
503C22×C4C2×M1612yes—
504C22×C4C2×M1612yes—
505C22×C4C2×M1612yes—
506C22×C4C2×M1612yes—
507C22×C4C2×M1612yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D412yes—
511C22×C4C2×#4112yes—
512M16—416no—
513M16—88no—
514C2×C8—28no—
515C2×C8—44no—
516C2×C8—44no—
517C2×C8—44no—
518C2×C8—44no—
519C2×C8—44no—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—41no—
527C4⋊C4—42no—
528C4⋊C4—41no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C22⋊C4—24no—
532C22⋊C4—24no—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—41no—
544C22⋊C4—42no—
545C22⋊C4—41no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—22no—
553C42—22no—
554C42—22no—
555C42—22no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—21no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—22no—
564C42—22no—
565C42—22no—
566C42—22no—
567C42—22no—
568C42—42no—
569C42—42no—
570C42—42no—
571C42—42no—
572C42—42no—
573C42—42no—
574C23—21no—
575C23—21no—
576C23—21no—
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—21no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—44no—
595C23—44no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—42no—
612C23—41no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23—82no—
617C23#38612yes—
618C23#38612yes—
619C23C22×C22⋊C411yescharacteristic
620C23C2×C4×D412yes—
621C23C22×M1611yescharacteristic
622C23C22×M1611yescharacteristic
623C23#56812yes—
624D4—48no—
625D4—48no—
626C2×C4—28no—
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—24no—
638C2×C4—24no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—24no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—24no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4—82no—
707C2×C4—82no—
708C2×C4#38612yes—
709C2×C4#38612yes—
710C2×C4#40712yes—
711C2×C4#40712yes—
712C2×C4#41012yes—
713C2×C4#41012yes—
714C2×C4#41312yes—
715C2×C4#41312yes—
716C2×C4C2×#12011yescharacteristic
717C2×C4C2×#12112yes—
718C2×C4C2×#12311yescharacteristic
719C8—48no—
720C8—84no—
721C22—21no—
722C22—21no—
723C22—21no—
724C22—21no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—48no—
736C22—48no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—84no—
749C22—84no—
750C22—81no—
751C22—81no—
752C22—81no—
753C22—81no—
754C22C2×#38611yescharacteristic
755C22C2×#40711yescharacteristic
756C22#287911yescharacteristic
757C22C2×#41011yescharacteristic
758C22C2×#41011yescharacteristic
759C22C2×#41311yescharacteristic
760C22C2×#41311yescharacteristic
761C22D4×M1612yes—
762C22D4×M1612yes—
763C4—22no—
764C4—22no—
765C4—21no—
766C4—22no—
767C4—22no—
768C4—21no—
769C4—22no—
770C4—22no—
771C4—41no—
772C4—41no—
773C4—42no—
774C4—42no—
775C4—42no—
776C4—41no—
777C4—41no—
778C4—81no—
779C4—81no—
780C4—81no—
781C4—81no—
782C4#189914yes—
783C2—22no—
784C2—22no—
785C2—42no—
786C2—42no—
787C2—82no—
788C2#1736111yescharacteristic
789C2#1736611yescharacteristic
790C2#1740111yescharacteristic
791C2#1740111yescharacteristic
792C2#2089811yescharacteristic
793C2C2×#189911yescharacteristic
794C2#2098911yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC24C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×D4C2×C4
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2920C2semidirect
3. #20682C2semidirect
5. #9086C2semidirect
6. #9084C2semidirect
7. #9082C2semidirect
8. #9080C2semidirect
9. #7911C2semidirect
268. C2×C4⋊C4M16semidirect
296. C2×C22⋊C4M16semidirect

Maximal subgroups

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

subgroupindex
C2×#29202
C2×C4×#1232
#206822
C2×#14652
#90862
#90842
#90822
#90802
#79112