Finite Group Databasebeta

← #209192

Subgroups — #209192

Order 512.

1221 conjugacy classes of subgroups.

The subgroup lattice has 729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2972C211yesmaximal, characteristic, complemented
2#22133C211yesmaximal, characteristic, complemented
3C4×#447C211yesmaximal, characteristic
4C2×#1580C211yesmaximal, characteristic, complemented
5C2×C8×D8C211yesmaximal, characteristic, complemented
6#8947C211yesmaximal, characteristic, complemented
7#8947C211yesmaximal, characteristic, complemented
8#8940C211yesmaximal, characteristic, complemented
9#8845C211yesmaximal, characteristic, complemented
10#8843C211yesmaximal, characteristic, complemented
11#8831C211yesmaximal, characteristic, complemented
12#8310C211yesmaximal, characteristic, complemented
13#8200C211yesmaximal, characteristic, complemented
14C8×#102C211yesmaximal, characteristic, complemented
15#8148C211yesmaximal, characteristic, complemented
16C22×C4×D4C2211yescharacteristic
17C2×#447C411yescharacteristic
18#2972—24no—
19#2972—24no—
20C2×C4×D8C2211yescharacteristic
21C2×C4×D8C2211yescharacteristic
22C2×C8×D4—21no—
23C2×C8×D4—21no—
24C2×C8×D4C2211yescharacteristic
25C2×C8×D4C2211yescharacteristic
26C2×C8×D4C2211yescharacteristic
27C2×C8×D4C2211yescharacteristic
28C2×C8×D4C2211yescharacteristic, complemented
29C2×#431C2211yescharacteristic
30C2×#431C2211yescharacteristic
31C22×C22⋊C8—21no—
32C22×C22⋊C8—21no—
33C4×#121C2211yescharacteristic
34#1954—21no—
35#1954C2211yescharacteristic, complemented
36#1939C2211yescharacteristic, complemented
37#1923—21no—
38#1879C411yescharacteristic
39#1879C411yescharacteristic
40#1874C411yescharacteristic
41#1869—21no—
42#1862C411yescharacteristic
43#1862C411yescharacteristic
44#1852C411yescharacteristic
45#1850—21no—
46#1797C2211yescharacteristic
47#1786C411yescharacteristic
48C8×C4⋊C4C2211yescharacteristic, complemented
49C4×#102C2211yescharacteristic
50C4×#102C2211yescharacteristic
51C4×C22⋊C8C2211yescharacteristic
52C4×C22⋊C8C2211yescharacteristic
53#1580—24no—
54C8×D8—24no—
55C2×#335C2211yescharacteristic, complemented
56C2×#334C2211yescharacteristic, complemented
57C2×D4⋊C8C2211yescharacteristic
58C2×D4⋊C8C2211yescharacteristic
59C2×D4⋊C8C2211yescharacteristic
60C2×D4⋊C8C2211yescharacteristic
61C2×D4⋊C8C2211yescharacteristic, complemented
62C2×D4⋊C8C2211yescharacteristic, complemented
63C2×#322C2211yescharacteristic, complemented
64C2×C82C2211yescharacteristic, complemented
65#1279C2211yescharacteristic, complemented
66#1279C2211yescharacteristic, complemented
67#1277C2211yescharacteristic, complemented
68#1277C2211yescharacteristic, complemented
69#1273C2211yescharacteristic, complemented
70#1273C2211yescharacteristic, complemented
71C23×D4C2×C411yescharacteristic
72C24×C4—21no—
73C22×D8C2×C411yescharacteristic
74C22×D8C2×C411yescharacteristic
75C23×C8—21no—
76C23×C8—21no—
77C23×C8—21no—
78C23×C8—21no—
79C23×C8—21no—
80C2×#121C2×C411yescharacteristic
81C2×C4×D4—22no—
82C2×C4×D4—22no—
83C2×C4×D4—22no—
84C2×C4×D4—22no—
85C2×C4×D4—21no—
86C2×C4×D4—21no—
87C2×C4×D4—21no—
88C2×C4×D4C2×C411yescharacteristic
89C2×C4×D4C2×C411yescharacteristic
90C2×C4×D4C2311yescharacteristic
91C2×C4×D4C2311yescharacteristic
92C2×C4×D4C2311yescharacteristic
93C22×C4⋊C4C2×C411yescharacteristic
94C22×C22⋊C4—21no—
95C22×C42C2311yescharacteristic
96#447C818yescomplemented
97C4×D8—22no—
98C4×D8—22no—
99C4×D8—22no—
100C4×D8—22no—
101C8×D4—28no—
102C8×D4—28no—
103C8×D4—22no—
104C8×D4—22no—
105C8×D4—22no—
106C8×D4—22no—
107C8×D4—22no—
108C8×D4—22no—
109C8×D4—22no—
110C8×D4—22no—
111C8×D4D414yescomplemented
112C8×D4D414yescomplemented
113#431—22no—
114#431—22no—
115#431—22no—
116#431—22no—
117C2×#107C2×C411yescharacteristic
118C2×#107C2×C411yescharacteristic
119C2×C4⋊C8—21no—
120C2×C4⋊C8D411yescharacteristic
121C2×C4⋊C8D411yescharacteristic
122C2×C4⋊C8C2311yescharacteristic
123C2×C4⋊C8C2311yescharacteristic
124C2×C4⋊C8C2311yescharacteristic
125C2×C4⋊C8C2311yescharacteristic
126C2×#102C2×C411yescharacteristic
127C2×#102C2×C411yescharacteristic
128C2×#102C2×C411yescharacteristic
129C2×#102C2×C411yescharacteristic
130C2×#102C2×C411yescharacteristic
131C2×#102C2×C411yescharacteristic
132C2×#102C2×C411yescharacteristic
133C2×#102C2×C411yescharacteristic
134C2×C22⋊C8—28no—
135C2×C22⋊C8—28no—
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×C22⋊C8—21no—
143C2×C22⋊C8—21no—
144C2×C22⋊C8—21no—
145C2×C22⋊C8—21no—
146C2×C22⋊C8C2×C411yescharacteristic
147C2×C22⋊C8C2×C411yescharacteristic
148C2×C22⋊C8D411yescharacteristic
149C2×C22⋊C8D411yescharacteristic
150C2×C4×C8—21no—
151C2×C4×C8—21no—
152C2×C4×C8C2311yescharacteristic
153C2×C4×C8C2311yescharacteristic
154C2×C4×C8C2311yescharacteristic
155C2×C4×C8C2311yescharacteristic
156C2×C4×C8C2311yescharacteristic
157C2×C4×C8C2311yescharacteristic
158#390C2×C411yescharacteristic
159#389C2×C411yescharacteristic
160#388—21no—
161#386—21no—
162#380C2×C411yescharacteristic
163C4×C4⋊C4C2311yescharacteristic
164C4×C22⋊C4—21no—
165#340C2×C411yescharacteristic
166#340C2×C411yescharacteristic
167#340C2×C411yescharacteristic
168#340C2×C411yescharacteristic
169#336—21no—
170#336—21no—
171#336—21no—
172#336—21no—
173#336C2×C411yescharacteristic
174#336C2×C411yescharacteristic
175#335—22no—
176#334—22no—
177D4⋊C8—22no—
178D4⋊C8—22no—
179D4⋊C8—22no—
180D4⋊C8—22no—
181D4⋊C8—22no—
182D4⋊C8—22no—
183#322—22no—
184C82—22no—
185C25—21no—
186C22×D4—22no—
187C22×D4—22no—
188C22×D4—22no—
189C22×D4—22no—
190C22×D4—21no—
191C22×D4—21no—
192C22×D4—22no—
193C22×D4C2×C814yescomplemented
194C22×D4C22×C411yescharacteristic
195C22×D4C22×C411yescharacteristic
196C22×D4C22×C411yescharacteristic
197C23×C4—24no—
198C23×C4—24no—
199C23×C4—21no—
200C23×C4—21no—
201C23×C4—21no—
202C23×C4—21no—
203C23×C4—21no—
204C23×C4—21no—
205C23×C4—81no—
206C23×C4—81no—
207C23×C4—81no—
208C23×C4—81no—
209C23×C4C22×C411yescharacteristic
210C23×C4C2×D411yescharacteristic
211C23×C4#4111yescharacteristic
212C2×D8—22no—
213C2×D8—22no—
214C2×D8—22no—
215C2×D8—22no—
216C2×D8C2×C814yescomplemented
217C2×D8C2×C814yescomplemented
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—21no—
221C22×C8—24no—
222C22×C8—24no—
223C22×C8—24no—
224C22×C8—24no—
225C22×C8—21no—
226C22×C8—21no—
227C22×C8—21no—
228C22×C8—42no—
229C22×C8—81no—
230C22×C8—81no—
231C22×C8—81no—
232C22×C8—81no—
233C22×C8—81no—
234C22×C8—81no—
235C22×C8—81no—
236C22×C8—81no—
237C22×C8—81no—
238C22×C8—81no—
239C22×C8C22×C411yescharacteristic
240C22×C8C22×C411yescharacteristic
241C22×C8C22×C411yescharacteristic
242C22×C8C22×C411yescharacteristic
243C22×C8C2×D411yescharacteristic
244C22×C8C2×D411yescharacteristic
245C22×C8C2×D411yescharacteristic
246C22×C8C2×D411yescharacteristic
247#121—22no—
248#121C2×C814yescomplemented
249C4×D4—24no—
250C4×D4—24no—
251C4×D4—24no—
252C4×D4—24no—
253C4×D4—22no—
254C4×D4—22no—
255C4×D4—22no—
256C4×D4—22no—
257C4×D4—21no—
258C4×D4—21no—
259C4×D4—21no—
260C4×D4—21no—
261C4×D4—21no—
262C4×D4—21no—
263C4×D4—21no—
264C4×D4—21no—
265C4×D4—81no—
266C4×D4—81no—
267C4×D4C2×D412yes—
268C4×D4C2×D412yes—
269C4×D4#4112yes—
270C4×D4#4112yes—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4C22×C411yescharacteristic
276C2×C4⋊C4C22×C411yescharacteristic
277C2×C4⋊C4C22×C411yescharacteristic
278C2×C4⋊C4C22×C411yescharacteristic
279C2×C4⋊C4C22×C411yescharacteristic
280C2×C22⋊C4—24no—
281C2×C22⋊C4—24no—
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×C42—21no—
292C2×C42—21no—
293C2×C42—21no—
294C2×C42—21no—
295C2×C42—21no—
296C2×C42C22×C411yescharacteristic
297C2×C42C2×D411yescharacteristic
298C2×C42#4111yescharacteristic
299C2×C42C2411yescharacteristic
300#107—22no—
301#107—22no—
302C4⋊C8—22no—
303C4⋊C8—22no—
304C4⋊C8—21no—
305C4⋊C8—21no—
306C4⋊C8—21no—
307C4⋊C8—21no—
308C4⋊C8—21no—
309C4⋊C8—21no—
310C4⋊C8—81no—
311C4⋊C8C2×D412yes—
312C4⋊C8C2×D412yes—
313#102—22no—
314#102—22no—
315#102—22no—
316#102—22no—
317#102—22no—
318#102—22no—
319#102C2×C814yescomplemented
320#102C2×C814yescomplemented
321C22⋊C8—24no—
322C22⋊C8—24no—
323C22⋊C8—24no—
324C22⋊C8—22no—
325C22⋊C8—22no—
326C22⋊C8—22no—
327C22⋊C8—24no—
328C22⋊C8—24no—
329C22⋊C8—42no—
330C22⋊C8—42no—
331C22⋊C8—81no—
332C22⋊C8—81no—
333C22⋊C8—81no—
334C22⋊C8C2×C814yescomplemented
335C4×C8—24no—
336C4×C8—21no—
337C4×C8—21no—
338C4×C8—21no—
339C4×C8—21no—
340C4×C8—21no—
341C4×C8—21no—
342C4×C8—21no—
343C4×C8—21no—
344C4×C8—21no—
345C4×C8—21no—
346C4×C8—81no—
347C4×C8C2×D412yes—
348C4×C8C2×D412yes—
349#95—21no—
350#95—21no—
351#95—21no—
352C24—24no—
353C24—24no—
354C24—21no—
355C24—21no—
356C24—24no—
357C24—21no—
358C24—81no—
359C24—81no—
360C24—81no—
361C24—81no—
362C24C4×D411yescharacteristic
363C2×D4—24no—
364C2×D4—24no—
365C2×D4—28no—
366C2×D4—28no—
367C2×D4—28no—
368C2×D4—28no—
369C2×D4—24no—
370C2×D4—21no—
371C2×D4—21no—
372C2×D4—21no—
373C2×D4—21no—
374C2×D4—21no—
375C2×D4—21no—
376C2×D4—21no—
377C2×D4—21no—
378C2×D4—21no—
379C2×D4—21no—
380C2×D4—21no—
381C2×D4—24no—
382C2×D4—81no—
383C2×D4—81no—
384C2×D4C4×D412yes—
385C2×D4C4×D412yes—
386C2×D4C22×C812yes—
387C2×D4C22×C812yes—
388C2×D4C22×C812yes—
389C2×D4#13112yes—
390C2×D4#13112yes—
391C22×C4—21no—
392C22×C4—21no—
393C22×C4—21no—
394C22×C4—21no—
395C22×C4—21no—
396C22×C4—21no—
397C22×C4—21no—
398C22×C4—24no—
399C22×C4—24no—
400C22×C4—24no—
401C22×C4—21no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—21no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—21no—
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—81no—
432C22×C4—81no—
433C22×C4—81no—
434C22×C4—81no—
435C22×C4—84no—
436C22×C4—84no—
437C22×C4—84no—
438C22×C4—84no—
439C22×C4—81no—
440C22×C4—81no—
441C22×C4C4×D411yescharacteristic
442C22×C4C4×D411yescharacteristic
443C22×C4C4×D411yescharacteristic
444C22×C4C22×C812yes—
445C22×C4#13112yes—
446C22×C4C23×C411yescharacteristic
447C22×C4C22×D411yescharacteristic
448C22×C4C2×#4111yescharacteristic
449D8—28no—
450D8—28no—
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—22no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—22no—
465C2×C8—22no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
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—
489C2×C8—84no—
490C2×C8—84no—
491C2×C8—84no—
492C2×C8—84no—
493C2×C8—84no—
494C2×C8#12012yes—
495C2×C8#12012yes—
496C2×C8C22×C812yes—
497C2×C8C22×C812yes—
498C4⋊C4—24no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—81no—
507C4⋊C4C4×D412yes—
508C4⋊C4C4×D412yes—
509C4⋊C4C22×C812yes—
510C22⋊C4—24no—
511C22⋊C4—24no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4—22no—
516C22⋊C4—24no—
517C22⋊C4—41no—
518C22⋊C4—41no—
519C22⋊C4—81no—
520C22⋊C4—81no—
521C22⋊C4—81no—
522C42—21no—
523C42—21no—
524C42—21no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—41no—
529C42—41no—
530C42C22×D411yescharacteristic
531C42C22×D411yescharacteristic
532C42C2×#4111yescharacteristic
533C42C2×#4111yescharacteristic
534C23—216no—
535C23—22no—
536C23—22no—
537C23—21no—
538C23—22no—
539C23—22no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—22no—
545C23—22no—
546C23—21no—
547C23—22no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—84no—
563C23—84no—
564C23—84no—
565C23—84no—
566C23—84no—
567C23—84no—
568C23C8×D412yes—
569C23C2×C4×D411yescharacteristic
570D4—216no—
571D4—22no—
572D4—22no—
573D4—22no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4—22no—
578D4—22no—
579D4—41no—
580D4—41no—
581D4—84no—
582D4C8×D414yes—
583D4C8×D414yes—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—81no—
626C2×C4—81no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4—84no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4C8×D412yes—
635C2×C4C2×C4×D411yescharacteristic
636C2×C4C2×C4×D411yescharacteristic
637C2×C4C2×#12011yescharacteristic
638C2×C4#52511yescharacteristic
639C2×C4#52511yescharacteristic
640C2×C4#52511yescharacteristic
641C2×C4C23×C811yescharacteristic
642C2×C4C2×#13111yescharacteristic
643C2×C4C2×#13111yescharacteristic
644C2×C4C2×#13111yescharacteristic
645C2×C4#57611yescharacteristic
646C2×C4#57611yescharacteristic
647C2×C4#57611yescharacteristic
648C2×C4#57711yescharacteristic
649C8—22no—
650C8—22no—
651C8—22no—
652C8—22no—
653C8—42no—
654C8—41no—
655C8—41no—
656C8—41no—
657C8—42no—
658C8—41no—
659C8—42no—
660C8—81no—
661C8—81no—
662C8—81no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—24no—
667C22—24no—
668C22—41no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—42no—
680C22—42no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—816no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22C4×#12011yescharacteristic
693C22C2×C8×D411yescharacteristic
694C22#292911yescharacteristic
695C22#294611yescharacteristic
696C22#294811yescharacteristic
697C22#295611yescharacteristic
698C22#295711yescharacteristic
699C4—22no—
700C4—21no—
701C4—21no—
702C4—42no—
703C4—41no—
704C4—42no—
705C4—42no—
706C4—41no—
707C4—81no—
708C4—81no—
709C4C2×C8×D411yescharacteristic
710C4C2×C8×D411yescharacteristic
711C4#292911yescharacteristic
712C4#292911yescharacteristic
713C4#300811yescharacteristic
714C4#301211yescharacteristic
715C4#311811yescharacteristic
716C4#312211yescharacteristic
717C2—42no—
718C2—44no—
719C2—44no—
720C2—82no—
721C2#1785211yescharacteristic
722C2#1785411yescharacteristic
723C2#1791811yescharacteristic
724C2#1792211yescharacteristic
725C2C8×#12011yescharacteristic
726C2#2145811yescharacteristic
727C2#2146811yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC2×C4C23×C8
Frattini, cosocleC2×C42C24
socleC23C2×C4×D4
prime radicalC2×#447C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×#431 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2972C2semidirect
2. #22133C2semidirect
4. C2×#1580C2semidirect
5. C2×C8×D8C2semidirect
6. #8947C2semidirect
7. #8947C2semidirect
8. #8940C2semidirect
9. #8845C2semidirect
10. #8843C2semidirect
11. #8831C2semidirect
12. #8310C2semidirect
13. #8200C2semidirect
14. C8×#102C2semidirect
15. #8148C2semidirect
28. C2×C8×D4C22semidirect
35. #1954C22semidirect
36. #1939C22semidirect
48. C8×C4⋊C4C22semidirect
55. C2×#335C22semidirect
56. C2×#334C22semidirect
61. C2×D4⋊C8C22semidirect
62. C2×D4⋊C8C22semidirect
63. C2×#322C22semidirect
64. C2×C82C22semidirect
65. #1279C22semidirect
66. #1279C22semidirect
67. #1277C22semidirect
68. #1277C22semidirect
69. #1273C22semidirect
70. #1273C22semidirect
96. #447C8semidirect
111. C8×D4D4semidirect
112. C8×D4D4semidirect
193. C22×D4C2×C8semidirect
216. C2×D8C2×C8semidirect
217. C2×D8C2×C8semidirect
248. #121C2×C8semidirect
319. #102C2×C8semidirect
320. #102C2×C8semidirect
334. C22⋊C8C2×C8semidirect

Maximal subgroups

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

subgroupindex
C2×#29722
#221332
C4×#4472
C2×#15802
C2×C8×D82
#89472
#89402
#88452
#88432
#88312
#83102
#82002
C8×#1022
#81482