Finite Group Databasebeta

← #4307543

Subgroups — #4307543

Order 512.

3590 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2362C212yesmaximal, complemented
2C2×#2360C211yesmaximal, characteristic, complemented
3C2×#2354C211yesmaximal, characteristic, complemented
4C2×#2352C212yesmaximal, complemented
5#15250C212yesmaximal, complemented
6#15240C211yesmaximal, characteristic, complemented
7#15223C212yesmaximal, complemented
8#15177C212yesmaximal, complemented
9#15177C211yesmaximal, characteristic, complemented
10#15135C211yesmaximal, characteristic, complemented
11#15082C212yesmaximal, complemented
12#15079C214yesmaximal, complemented
13#14985C214yesmaximal, complemented
14#14977C212yesmaximal
15C4×#399C212yesmaximal, complemented
16C4×#392C211yesmaximal, characteristic
17#13812C211yesmaximal, characteristic, complemented
18C22×C22⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2212yes—
22C22×C4×D4C2211yescharacteristic
23C22×#117C2212yes—
24C23×C4⋊C4C2211yescharacteristic
25C2×#399C2212yes—
26C2×#392C2211yescharacteristic
27#2362—216no—
28#2360—28no—
29#2354—28no—
30#2352—216no—
31C2×#391C2211yescharacteristic
32C2×#391C2212yes—
33C2×#390C2212yes—
34C2×#389C2212yes—
35C2×#389C2211yescharacteristic
36C2×#389C2212yes—
37C2×#388C2214yes—
38C2×#388C2214yes—
39C2×#388C2214yes—
40C2×#388C2214yes—
41C2×#387C2214yes—
42C2×#387C2212yes—
43C2×#387C2214yes—
44C2×#386C2214yes—
45C2×#385C2212yes—
46C2×#384C2211yescharacteristic
47C2×#382C2212yes—
48C2×#380C2212yes—
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×C4×C4⋊C4C2212yes—
52C2×C4×C4⋊C4C2214yes—
53C2×C4×C4⋊C4C2212yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4C2212yes—
57C2×C4×C22⋊C4C2214yes—
58C2×C4×C22⋊C4C2212yes—
59#1445C2212yes—
60#1445C2214yes—
61#1445C2212yes—
62#1445C2214yes—
63#1445C2212yes—
64#1445C2214yes—
65#1444C2212yes—
66#1444C2211yescharacteristic
67#1444C2212yes—
68#1444C2214yes—
69#1439C2212yes—
70#1439C2211yescharacteristic
71#1439C2212yes—
72#1439C2214yes—
73#1439C2214yes—
74#1439C2214yes—
75#1439C2214yes—
76#1439C2214yes—
77#1438C2212yes—
78#1438C2211yescharacteristic
79#1438C2214yes—
80#1438C2212yes—
81C4⋊#95C2211yescharacteristic
82C4⋊#95C2212yes—
83#1434C2212yes—
84#1434C2214yes—
85C4×#95C2211yescharacteristic
86C4×#95C2212yes—
87C23×Q8C2311yescharacteristic
88C23×D4C2312yes—
89C23×D4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C24×C4C2312yes—
93C2×C22⋊Q8—24no—
94C2×C22⋊Q8—28no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—28no—
97C2×C22⋊Q8—24no—
98C2×C22⋊Q8—28no—
99C2×C4×Q8—24no—
100C2×C4×Q8—28no—
101C2×C4×D4—28no—
102C2×C4×D4—28no—
103C2×C4×D4—28no—
104C2×C4×D4—28no—
105C2×C4×D4—24no—
106C2×#117—28no—
107C2×#117—28no—
108C2×#117—28no—
109C22×C4⋊C4—28no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2311yescharacteristic
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2311yescharacteristic
135C22×C22⋊C4C2311yescharacteristic
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C42C2314yes—
140C22×C42C2311yescharacteristic
141C22×C42C2312yes—
142C22×C42C2312yes—
143C22×C42C2311yescharacteristic
144C22×C42C2314yes—
145C22×C42C2312yes—
146#399—28no—
147#392—24no—
148#391—24no—
149#391—28no—
150#390—28no—
151#389—24no—
152#389—28no—
153#389—28no—
154#388—216no—
155#388—216no—
156#388—216no—
157#388—216no—
158#387—216no—
159#387—28no—
160#387—216no—
161#386—216no—
162#385—28no—
163#384—24no—
164#382—28no—
165#380—28no—
166#380—28no—
167#380—28no—
168C4×C4⋊C4—28no—
169C4×C4⋊C4—216no—
170C4×C4⋊C4D4116yescomplemented
171C4×C4⋊C4D418yescomplemented
172C4×C22⋊C4—216no—
173C4×C22⋊C4—24no—
174C4×C22⋊C4—28no—
175C4×C22⋊C4—28no—
176C2×#95C2311yescharacteristic
177C2×#95C2312yes—
178C2×#95C2311yescharacteristic
179C2×#95C2312yes—
180C2×#95C2311yescharacteristic
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2311yescharacteristic
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2312yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C2×#95C2314yes—
200C25C2412yes—
201C25C2411yescharacteristic
202C22×Q8—22no—
203C22×Q8—24no—
204C22×Q8—22no—
205C22×Q8—24no—
206C22×Q8#4114yes—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—42no—
217C22×D4—42no—
218C22×D4—42no—
219C23×C4—24no—
220C23×C4—22no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—28no—
232C23×C4—42no—
233C23×C4—44no—
234C23×C4#4118yes—
235C23×C4#4114yes—
236C23×C4C2414yes—
237C23×C4C2411yescharacteristic
238C23×C4C2412yes—
239C23×C4C2414yes—
240C23×C4C2412yes—
241C23×C4C2411yescharacteristic
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2411yescharacteristic
246C23×C4C2411yescharacteristic
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C22⋊Q8—232no—
252C22⋊Q8—264no—
253C4×Q8—416no—
254C4×D4—264no—
255C4×D4—232no—
256#117—432no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—28no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—416no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4C2×D414yes—
293C2×C4⋊C4C2×D418yes—
294C2×C4⋊C4C2×D418yes—
295C2×C4⋊C4C2×D414yes—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—22no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—41no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4#4114yes—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—28no—
339C2×C42—28no—
340C2×C42—28no—
341C2×C42—24no—
342C2×C42—22no—
343C2×C42—24no—
344C2×C42—28no—
345C2×C42—44no—
346C2×C42—44no—
347C2×C42—44no—
348C2×C42C2×D418yes—
349C2×C42C2×D414yes—
350C2×C42C2×D4116yes—
351C2×C42C2×D418yes—
352#95—24no—
353#95—28no—
354#95—28no—
355#95—22no—
356#95—24no—
357#95—24no—
358#95—22no—
359#95—24no—
360#95—28no—
361#95—28no—
362#95—28no—
363#95—28no—
364#95—24no—
365#95—28no—
366#95—28no—
367#95—22no—
368#95—24no—
369#95—22no—
370#95—44no—
371#95—42no—
372#95—42no—
373#95—44no—
374#95C2×D418yes—
375#95C2×D4116yes—
376C24—21no—
377C24—22no—
378C24—21no—
379C24—22no—
380C24—21no—
381C24—22no—
382C24—21no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24C2×#4114yes—
399C24C2×#4112yes—
400C24C2×#4112yes—
401C242−1+412yes—
402C24C2511yescharacteristic
403C2×Q8—216no—
404C2×Q8—28no—
405C2×Q8—48no—
406C2×Q8—44no—
407C2×Q8—44no—
408C2×D4—28no—
409C2×D4—216no—
410C2×D4—48no—
411C2×D4—48no—
412C2×D4—48no—
413C2×D4—48no—
414C2×D4—44no—
415C2×D4—48no—
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—48no—
419C2×D4—44no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—24no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—21no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—24no—
431C22×C4—22no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—216no—
470C22×C4—216no—
471C22×C4—216no—
472C22×C4—28no—
473C22×C4—216no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—21no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—48no—
492C22×C4—416no—
493C22×C4—44no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—44no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—88no—
502C22×C4—84no—
503C22×C4C22×D414yes—
504C22×C4C22×D414yes—
505C22×C4C22×D412yes—
506C22×C4C22×D418yes—
507C22×C4C22×D414yes—
508C22×C4C22×D414yes—
509C22×C4C22×D418yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D414yes—
513C22×C4C2×#4114yes—
514C22×C4C2×#4112yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4114yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4114yes—
520C22×C4C2×#4112yes—
521C22×C42−1+412yes—
522C4⋊C4—28no—
523C4⋊C4—216no—
524C4⋊C4—232no—
525C4⋊C4—216no—
526C4⋊C4—216no—
527C4⋊C4—28no—
528C4⋊C4—416no—
529C4⋊C4—48no—
530C4⋊C4—44no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—84no—
535C4⋊C4—84no—
536C4⋊C4#127116yes—
537C22⋊C4—216no—
538C22⋊C4—216no—
539C22⋊C4—216no—
540C22⋊C4—216no—
541C22⋊C4—232no—
542C22⋊C4—28no—
543C22⋊C4—48no—
544C22⋊C4—416no—
545C22⋊C4—44no—
546C22⋊C4—48no—
547C22⋊C4—416no—
548C22⋊C4—88no—
549C22⋊C4—88no—
550C42—28no—
551C42—216no—
552C42—48no—
553C42—416no—
554C42—416no—
555C42—48no—
556C42—44no—
557C23—22no—
558C23—24no—
559C23—22no—
560C23—24no—
561C23—24no—
562C23—22no—
563C23—22no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—22no—
568C23—22no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—42no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—41no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23#55614yes—
615C23C23×D411yescharacteristic
616C23C23×D412yes—
617C23C22×#4111yescharacteristic
618C23C22×#4112yes—
619C23C22×#4111yescharacteristic
620C23C22×#4111yescharacteristic
621C23C2×2−1+411yescharacteristic
622C23C2×2−1+411yescharacteristic
623C23#58512yes—
624C23#58512yes—
625C23#58511yescharacteristic
626Q8—416no—
627D4—416no—
628D4—432no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—28no—
633C2×C4—24no—
634C2×C4—28no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—28no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—28no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—416no—
691C2×C4—432no—
692C2×C4—44no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—816no—
710C2×C4#52518yes—
711C2×C4#52514yes—
712C2×C4#52518yes—
713C2×C4#52514yes—
714C2×C4C2×#12718yes—
715C2×C4C2×#12714yes—
716C2×C4#54814yes—
717C22—28no—
718C22—24no—
719C22—44no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—44no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22C2×#52512yes—
744C22C2×#52512yes—
745C22C2×#52511yescharacteristic
746C22C2×#52511yescharacteristic
747C22C22×#12711yescharacteristic
748C22C2×#54811yescharacteristic
749C22D4×#4112yes—
750C22C2×#55611yescharacteristic
751C22#347512yes—
752C22#348011yescharacteristic
753C22#348512yes—
754C22#348511yescharacteristic
755C22#348912yes—
756C22#348911yescharacteristic
757C22#349312yes—
758C22#349512yes—
759C22#349512yes—
760C22#349712yes—
761C22#350011yescharacteristic
762C22#350711yescharacteristic
763C22#351212yes—
764C22#352311yescharacteristic
765C22#352412yes—
766C4—24no—
767C4—28no—
768C4—48no—
769C4—44no—
770C4—42no—
771C4—44no—
772C4—44no—
773C4—44no—
774C4—42no—
775C4—44no—
776C4—42no—
777C4—84no—
778C4—81no—
779C4—82no—
780C4#239718yes—
781C2—44no—
782C2—84no—
783C2C2×#239711yescharacteristic
784C2#3575812yes—
785C2#3583212yes—
786C2#3601111yescharacteristic
787C2#3606011yescharacteristic
788C2#3608011yescharacteristic
789C2#3643612yes—
790C2#3643912yes—
791C2#3646511yescharacteristic
792C2#3651611yescharacteristic
793C2#3657911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#392C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2362C2semidirect
2. C2×#2360C2semidirect
3. C2×#2354C2semidirect
4. C2×#2352C2semidirect
5. #15250C2semidirect
6. #15240C2semidirect
7. #15223C2semidirect
8. #15177C2semidirect
9. #15177C2semidirect
10. #15135C2semidirect
11. #15082C2semidirect
12. #15079C2semidirect
13. #14985C2semidirect
15. C4×#399C2semidirect
17. #13812C2semidirect
170. C4×C4⋊C4D4semidirect
171. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#23622
C2×#23602
C2×#23542
C2×#23522
#152502
#152402
#152232
#151772
#151352
#150822
#150792
#149852
#149772
C4×#3992
C4×#3922
#138122