Finite Group Databasebeta

← #4307451

Subgroups — #4307451

Order 512.

3710 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×D4×C4⋊C4C212yesmaximal, complemented
3C2×#2345C211yesmaximal, characteristic, complemented
4#15204C212yesmaximal, complemented
5#15195C211yesmaximal, characteristic, complemented
6#15181C212yesmaximal, complemented
7#15181C211yesmaximal, characteristic, complemented
8#15145C211yesmaximal, characteristic, complemented
9#15131C212yesmaximal, complemented
10#15012C212yesmaximal, complemented
11#14812C212yesmaximal, complemented
12#14753C214yesmaximal, complemented
13#14733C214yesmaximal, complemented
14C4×#392C211yesmaximal, characteristic
15C4×#392C212yesmaximal
16#13818C211yesmaximal, characteristic, complemented
17C22⋊C4×C4⋊C4C212yesmaximal, complemented
18C22×C4×D4C2212yes—
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2214yes—
21C22×C4×D4C2212yes—
22C23×C4⋊C4C2212yes—
23C23×C4⋊C4C2211yescharacteristic
24C2×#398C2214yes—
25C2×#396C2214yes—
26C2×#392C2211yescharacteristic
27D4×C4⋊C4—28no—
28D4×C4⋊C4—216no—
29#2345—28no—
30C2×#389C2211yescharacteristic
31C2×#389C2212yes—
32C2×#389C2211yescharacteristic
33C2×#389C2212yes—
34C2×#389C2214yes—
35C2×#387C2212yes—
36C2×#387C2212yes—
37C2×#385C2214yes—
38C2×#385C2214yes—
39C2×#385C2214yes—
40C2×#384C2212yes—
41C2×#384C2211yescharacteristic
42C2×#380C2212yes—
43C2×#380C2212yes—
44C2×#380C2211yescharacteristic
45C2×#380C2212yes—
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×C4×C4⋊C4C2211yescharacteristic
49C2×C4×C4⋊C4C2212yes—
50C2×C4×C4⋊C4C2211yescharacteristic
51C2×C4×C22⋊C4C2212yes—
52C2×C4×C22⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2212yes—
54C2×C4×C22⋊C4C2214yes—
55#1444C2212yes—
56#1444C2211yescharacteristic
57#1444C2212yes—
58#1442C2212yes—
59#1442C2214yes—
60#1442C2212yes—
61#1442C2212yes—
62#1441C2214yes—
63#1441C2214yes—
64#1439C2214yes—
65#1439C2212yes—
66#1439C2211yescharacteristic
67#1439C2212yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2212yes—
72#1438C2214yes—
73#1438C2212yes—
74#1438C2212yes—
75#1438C2211yescharacteristic
76#1436C2214yes—
77#1436C2214yes—
78#1436C2214yes—
79C4⋊#95C2212yes—
80C4⋊#95C2212yes—
81C4⋊#95C2211yescharacteristic
82C4⋊#95C2212yes—
83C22⋊#95C2214yes—
84C4×#95C2211yescharacteristic
85C4×#95C2212yes—
86C23×D4C2311yescharacteristic
87C23×D4C2312yes—
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2314yes—
91C24×C4C2312yes—
92C2×C4×D4—28no—
93C2×C4×D4—28no—
94C2×C4×D4—28no—
95C2×C4×D4—216no—
96C2×C4×D4—24no—
97C2×C4×D4—28no—
98C2×C4×D4—28no—
99C2×C4×D4—48no—
100C2×C4×D4—48no—
101C2×C4×D4—48no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—28no—
105C22×C4⋊C4—28no—
106C22×C4⋊C4—28no—
107C22×C4⋊C4D418yescomplemented
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2311yescharacteristic
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2311yescharacteristic
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C42C2311yescharacteristic
138C22×C42C2314yes—
139C22×C42C2311yescharacteristic
140C22×C42C2312yes—
141C22×C42C2312yes—
142C22×C42C2312yes—
143#398—48no—
144#396—48no—
145#392Q818yes—
146#389—24no—
147#389—216no—
148#389—24no—
149#389—28no—
150#389—28no—
151#387—28no—
152#387—28no—
153#385—216no—
154#385—216no—
155#385—216no—
156#384—28no—
157#384—24no—
158#380—28no—
159#380—28no—
160#380—24no—
161#380—28no—
162#380—28no—
163#380—28no—
164C4×C4⋊C4—24no—
165C4×C4⋊C4—28no—
166C4×C4⋊C4D418yescomplemented
167C4×C22⋊C4—24no—
168C4×C22⋊C4—28no—
169C4×C22⋊C4—28no—
170C4×C22⋊C4—48no—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2312yes—
174C2×#95C2311yescharacteristic
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2311yescharacteristic
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2311yescharacteristic
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2314yes—
193C2×#95C2312yes—
194C2×#95C2311yescharacteristic
195C25C2411yescharacteristic
196C25C2412yes—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—22no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—22no—
207C22×D4C2×Q814yes—
208C22×D4C2×Q818yes—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—28no—
222C23×C4—28no—
223C23×C4—28no—
224C23×C4—28no—
225C23×C4—44no—
226C23×C4—44no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4C2×D414yes—
231C23×C4C2×D418yes—
232C23×C4#4118yes—
233C23×C4C2414yes—
234C23×C4C2411yescharacteristic
235C23×C4C2412yes—
236C23×C4C2414yes—
237C23×C4C2412yes—
238C23×C4C2411yescharacteristic
239C23×C4C2412yes—
240C23×C4C2411yescharacteristic
241C23×C4C2411yescharacteristic
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2411yescharacteristic
246C23×C4C2412yes—
247C23×C4C2411yescharacteristic
248C4×D4—232no—
249C4×D4—264no—
250C4×D4—432no—
251C4×D4—464no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—232no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—432no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4C2×D414yes—
293C2×C4⋊C4C2×D418yes—
294C2×C4⋊C4C2×D414yes—
295C2×C4⋊C4C2×D414yes—
296C2×C4⋊C4C2×D414yes—
297C2×C4⋊C4#4114yes—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—22no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—22no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—41no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4C2×Q814yes—
333C2×C22⋊C4C2×Q818yes—
334C2×C42—24no—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—28no—
338C2×C42—22no—
339C2×C42—24no—
340C2×C42—28no—
341C2×C42—24no—
342C2×C42—44no—
343C2×C42—44no—
344C2×C42—44no—
345C2×C42C2×D414yes—
346C2×C42C2×D418yes—
347C2×C42#4118yes—
348#95—22no—
349#95—22no—
350#95—24no—
351#95—24no—
352#95—24no—
353#95—28no—
354#95—28no—
355#95—28no—
356#95—28no—
357#95—24no—
358#95—24no—
359#95—24no—
360#95—28no—
361#95—28no—
362#95—28no—
363#95—24no—
364#95—22no—
365#95—24no—
366#95—42no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95C2×D418yes—
371#95C2×Q814yes—
372C24—21no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—21no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—21no—
388C24—22no—
389C24—22no—
390C24—21no—
391C24—22no—
392C24C22×D412yes—
393C24C22×Q812yes—
394C24C22×Q814yes—
395C24C2×#4114yes—
396C24H(5,𝔽2)14yes—
397C242−1+412yes—
398C24C2511yescharacteristic
399C2×D4—28no—
400C2×D4—216no—
401C2×D4—28no—
402C2×D4—216no—
403C2×D4—216no—
404C2×D4—216no—
405C2×D4—216no—
406C2×D4—216no—
407C2×D4—216no—
408C2×D4—216no—
409C2×D4—28no—
410C2×D4—216no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—24no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—24no—
418C22×C4—22no—
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—24no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—28no—
452C22×C4—216no—
453C22×C4—216no—
454C22×C4—216no—
455C22×C4—216no—
456C22×C4—216no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—416no—
482C22×C4—416no—
483C22×C4—416no—
484C22×C4—416no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—48no—
491C22×C4—44no—
492C22×C4—416no—
493C22×C4—84no—
494C22×C4—88no—
495C22×C4—84no—
496C22×C4—88no—
497C22×C4—88no—
498C22×C4—88no—
499C22×C4C22×D414yes—
500C22×C4C22×D412yes—
501C22×C4C22×D414yes—
502C22×C4C22×D412yes—
503C22×C4C22×D414yes—
504C22×C4C22×D414yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×Q812yes—
509C22×C4C22×Q812yes—
510C22×C4C22×Q814yes—
511C22×C4C2×#4114yes—
512C22×C4C2×#4114yes—
513C22×C4C2×#4114yes—
514C22×C4C2×#4114yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4114yes—
517C22×C4C2×#4114yes—
518C22×C4H(5,𝔽2)14yes—
519C22×C42−1+412yes—
520C4⋊C4—28no—
521C4⋊C4—216no—
522C4⋊C4—216no—
523C4⋊C4—28no—
524C4⋊C4—28no—
525C4⋊C4—416no—
526C4⋊C4—48no—
527C4⋊C4—416no—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—44no—
531C4⋊C4—84no—
532C4⋊C4—88no—
533C4⋊C4—88no—
534C4⋊C4—84no—
535C4⋊C4—84no—
536C4⋊C4#121116yes—
537C22⋊C4—216no—
538C22⋊C4—216no—
539C22⋊C4—216no—
540C22⋊C4—28no—
541C22⋊C4—216no—
542C22⋊C4—48no—
543C22⋊C4—44no—
544C22⋊C4—48no—
545C22⋊C4—416no—
546C22⋊C4—416no—
547C22⋊C4—416no—
548C22⋊C4—416no—
549C42—28no—
550C42—216no—
551C42—48no—
552C42—416no—
553C42—44no—
554C42—84no—
555C23—22no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—22no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—24no—
583C23—24no—
584C23—22no—
585C23—42no—
586C23—42no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—42no—
592C23—41no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23D4×Q814yes—
612C23#55418yes—
613C23C23×D411yescharacteristic
614C23C23×D411yescharacteristic
615C23C23×Q811yescharacteristic
616C23C22×#4111yescharacteristic
617C23C22×#4112yes—
618C23C22×#4112yes—
619C23C2×H(5,𝔽2)12yes—
620C23C2×H(5,𝔽2)12yes—
621C23C2×2−1+411yescharacteristic
622C23C2×2−1+411yescharacteristic
623C23#58511yescharacteristic
624D4—232no—
625D4—264no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—28no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—28no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—28no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—416no—
680C2×C4—432no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—816no—
706C2×C4—832no—
707C2×C4C2×#12118yes—
708C2×C4C2×#12114yes—
709C2×C4#52518yes—
710C2×C4#52514yes—
711C2×C4#52918yes—
712C2×C4#53214yes—
713C2×C4D4×Q814yes—
714C2×C4#55418yes—
715C22—24no—
716C22—28no—
717C22—28no—
718C22—28no—
719C22—28no—
720C22—44no—
721C22—42no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—42no—
727C22—42no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—42no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—42no—
738C22—44no—
739C22—42no—
740C22—44no—
741C22C22×#12111yescharacteristic
742C22C2×#52512yes—
743C22C2×#52511yescharacteristic
744C22C2×#52912yes—
745C22C2×#53211yescharacteristic
746C22C2×D4×Q811yescharacteristic
747C22C2×D4×Q811yescharacteristic
748C22C2×#55412yes—
749C22C2×#55412yes—
750C22Q8×#4111yescharacteristic
751C22#348411yescharacteristic
752C22#348412yes—
753C22#348911yescharacteristic
754C22#349212yes—
755C22#349212yes—
756C22#349212yes—
757C22#349412yes—
758C22#349711yescharacteristic
759C22#349811yescharacteristic
760C22#350612yes—
761C22#351112yes—
762C22#351912yes—
763C22#352311yescharacteristic
764C4—28no—
765C4—24no—
766C4—28no—
767C4—44no—
768C4—44no—
769C4—42no—
770C4—44no—
771C4—42no—
772C4—42no—
773C4—44no—
774C4—81no—
775C4—84no—
776C4—82no—
777C4—84no—
778C4#239218yes—
779C2—44no—
780C2—48no—
781C2C2×#239211yescharacteristic
782C2#3568212yes—
783C2#3568911yescharacteristic
784C2#3569111yescharacteristic
785C2#3569912yes—
786C2#3592311yescharacteristic
787C2Q8×#12111yescharacteristic
788C2#3654611yescharacteristic
789C2#3654612yes—
790C2#3655112yes—
791C2#3655911yescharacteristic
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×D4×C4⋊C4C2semidirect
2. C2×D4×C4⋊C4C2semidirect
3. C2×#2345C2semidirect
4. #15204C2semidirect
5. #15195C2semidirect
6. #15181C2semidirect
7. #15181C2semidirect
8. #15145C2semidirect
9. #15131C2semidirect
10. #15012C2semidirect
11. #14812C2semidirect
12. #14753C2semidirect
13. #14733C2semidirect
16. #13818C2semidirect
17. C22⋊C4×C4⋊C4C2semidirect
107. C22×C4⋊C4D4semidirect
166. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C4⋊C42
C2×#23452
#152042
#151952
#151812
#151452
#151312
#150122
#148122
#147532
#147332
C4×#3922
#138182
C22⋊C4×C4⋊C42