Finite Group Databasebeta

← #723002

Subgroups — #723002

Order 512.

3092 conjugacy classes of subgroups.

The subgroup lattice has 789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2542C211yesmaximal, characteristic, complemented
2C2×#2628C211yesmaximal, characteristic, complemented
3C2×#2369C211yesmaximal, characteristic, complemented
4C2×#2324C211yesmaximal, characteristic
5#17071C212yesmaximal, complemented
6#16899C212yesmaximal, complemented
7#15280C214yesmaximal, complemented
8#15276C214yesmaximal, complemented
9#15148C212yesmaximal, complemented
10#15141C212yesmaximal, complemented
11#15131C212yesmaximal, complemented
12#15103C212yesmaximal, complemented
13#14005C212yesmaximal, complemented
14#13998C212yesmaximal
15#13954C211yesmaximal, characteristic, complemented
16#13941C211yesmaximal, characteristic, complemented
17#13852C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2214yes—
20C22×#121C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23#2628—28no—
24#2542—28no—
25C2×#400C2212yes—
26C2×#399C2212yes—
27C2×#399C2212yes—
28C2×#399C2212yes—
29C2×#396C2214yes—
30C2×#396C2214yes—
31C2×#395C2212yes—
32C2×#393C2212yes—
33#2369—28no—
34#2324—28no—
35C2×#391C2214yes—
36C2×#390C2211yescharacteristic
37C2×#390C2212yes—
38C2×#390C2212yes—
39C2×#390C2212yes—
40C2×#390C2214yes—
41C2×#389C2212yes—
42C2×#389C2211yescharacteristic
43C2×#389C2212yes—
44C2×#389C2212yes—
45C2×#389C2212yes—
46C2×#389C2212yes—
47C2×#389C2214yes—
48C2×#388C2212yes—
49C2×#386C2212yes—
50C2×#385C2212yes—
51C2×#384C2212yes—
52C2×#382C2211yescharacteristic
53C2×#380C2211yescharacteristic
54C2×#380C2212yes—
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C4⋊C4C2212yes—
58C2×C4×C4⋊C4C2212yes—
59C2×C4×C4⋊C4C2211yescharacteristic
60C2×C4×C22⋊C4C2212yes—
61#1444C2214yes—
62#1444C2214yes—
63#1441C2211yescharacteristic
64#1441C2214yes—
65#1441C2214yes—
66#1441C2214yes—
67#1441C2212yes—
68#1441C2211yescharacteristic
69#1439C2214yes—
70#1439C2212yes—
71#1439C2214yes—
72#1439C2214yes—
73#1439C2211yescharacteristic
74#1439C2211yescharacteristic
75#1439C2212yes—
76#1439C2214yes—
77#1439C2214yes—
78#1439C2212yes—
79#1438C2214yes—
80#1437C2214yes—
81#1436C2214yes—
82C4⋊#95C2212yes—
83C4⋊#95C2212yes—
84C4⋊#95C2212yes—
85C22⋊#95C2214yes—
86C4×#95C2212yes—
87C23×Q8C2312yes—
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C2×C4⋊Q8—24no—
93C2×C4⋊Q8—24no—
94C2×C4⋊Q8D418yescomplemented
95C2×C22⋊Q8—216no—
96C2×C22⋊Q8—48no—
97C2×C22⋊Q8—48no—
98C2×#121—24no—
99C2×#121—24no—
100C2×#121Q818yescomplemented
101C2×C4×D4—24no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×#117—24no—
105C2×#117—24no—
106C2×#117—24no—
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2311yescharacteristic
125C22×C22⋊C4C2311yescharacteristic
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C42C2311yescharacteristic
140C22×C42C2312yes—
141C22×C42C2312yes—
142C22×C42C2314yes—
143C22×C42C2312yes—
144C22×C42C2311yescharacteristic
145#400—28no—
146#399—28no—
147#399—28no—
148#399—28no—
149#396—48no—
150#396—48no—
151#395—28no—
152#393—28no—
153#391—216no—
154#390—24no—
155#390—28no—
156#390—28no—
157#390—44no—
158#390—48no—
159#389—24no—
160#389—28no—
161#389—28no—
162#389—28no—
163#389—28no—
164#389—48no—
165#389—44no—
166#388—28no—
167#386—28no—
168#385—28no—
169#384—28no—
170#382—24no—
171#380—24no—
172#380—28no—
173C4×C4⋊C4—28no—
174C4×C4⋊C4—28no—
175C4×C4⋊C4—24no—
176C4×C4⋊C4—24no—
177C4×C4⋊C4D418yes—
178C4×C22⋊C4—44no—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2311yescharacteristic
184C2×#95C2311yescharacteristic
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2312yes—
194C2×#95C2314yes—
195C2×#95C2312yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2312yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C25C2411yescharacteristic
202C25C2412yes—
203C22×Q8—24no—
204C22×Q8—24no—
205C22×Q8—44no—
206C22×Q8—44no—
207C22×Q8C2×D418yes—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—24no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—24no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4C2×Q814yes—
219C22×D4C2×Q818yes—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—44no—
230C23×C4—44no—
231C23×C4C2×Q814yes—
232C23×C4C2411yescharacteristic
233C23×C4C2414yes—
234C23×C4C2412yes—
235C23×C4C2411yescharacteristic
236C23×C4C2412yes—
237C23×C4C2414yes—
238C23×C4C2412yes—
239C23×C4C2411yescharacteristic
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245C23×C4C2412yes—
246C23×C4C2411yescharacteristic
247C4⋊Q8—232no—
248C22⋊Q8—464no—
249#121—232no—
250C4×D4—416no—
251#117—416no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4C2×D418yes—
298C2×C4⋊C4C2×D418yes—
299C2×C4⋊C4C2×D414yes—
300C2×C4⋊C4C2×D414yes—
301C2×C4⋊C4C2×Q814yes—
302C2×C4⋊C4#4114yes—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—22no—
307C2×C22⋊C4—22no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4C2×Q818yes—
342C2×C42—22no—
343C2×C42—22no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—22no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—24no—
351C2×C42—28no—
352C2×C42—44no—
353C2×C42—44no—
354C2×C42—44no—
355C2×C42C2×D418yes—
356C2×C42C2×D414yes—
357C2×C42C2×D414yes—
358C2×C42#4114yes—
359#95—28no—
360#95—28no—
361#95—24no—
362#95—22no—
363#95—22no—
364#95—24no—
365#95—28no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—28no—
370#95—28no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—42no—
375#95—42no—
376#95—42no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95C2×D418yes—
381C24—21no—
382C24—22no—
383C24—22no—
384C24—21no—
385C24—21no—
386C24—22no—
387C24—22no—
388C24—21no—
389C24—22no—
390C24—24no—
391C24—24no—
392C24—22no—
393C24—21no—
394C24—22no—
395C24—22no—
396C24—24no—
397C24—21no—
398C24—22no—
399C24—24no—
400C24—22no—
401C24C22×Q814yes—
402C24C22×Q812yes—
403C24C2511yescharacteristic
404C2×Q8—216no—
405C2×Q8—416no—
406C2×Q8—84no—
407C2×Q8—84no—
408C2×Q8—88no—
409C2×D4—28no—
410C2×D4—216no—
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—416no—
414C2×D4—44no—
415C2×D4—44no—
416C2×D4—44no—
417C2×D4—44no—
418C2×D4—84no—
419C2×D4—84no—
420C2×D4—88no—
421C22×C4—24no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—24no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—24no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—24no—
438C22×C4—22no—
439C22×C4—21no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—21no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—416no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—48no—
499C22×C4—84no—
500C22×C4—84no—
501C22×C4—88no—
502C22×C4C22×D414yes—
503C22×C4C22×D418yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D414yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×Q812yes—
512C22×C4C22×Q814yes—
513C22×C4C22×Q812yes—
514C22×C4C2×#4112yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4114yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4H(5,𝔽2)14yes—
520C22×C4H(5,𝔽2)14yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C42−1+414yes—
523C22×C42−1+412yes—
524C4⋊C4—28no—
525C4⋊C4—216no—
526C4⋊C4—216no—
527C4⋊C4—216no—
528C4⋊C4—28no—
529C4⋊C4—416no—
530C4⋊C4—416no—
531C4⋊C4—416no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—48no—
537C4⋊C4—84no—
538C4⋊C4—88no—
539C4⋊C4—88no—
540C4⋊C4—88no—
541C4⋊C4C22⋊Q8116yescomplemented
542C22⋊C4—216no—
543C22⋊C4—48no—
544C22⋊C4—416no—
545C22⋊C4—416no—
546C22⋊C4—48no—
547C22⋊C4—44no—
548C22⋊C4—44no—
549C22⋊C4—48no—
550C22⋊C4—88no—
551C22⋊C4—84no—
552C22⋊C4—84no—
553C22⋊C4—84no—
554C22⋊C4—88no—
555C22⋊C4—88no—
556C42—48no—
557C42—44no—
558C42—48no—
559C42—48no—
560C42—88no—
561C42#121116yes—
562C23—24no—
563C23—22no—
564C23—22no—
565C23—24no—
566C23—22no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—24no—
571C23—28no—
572C23—41no—
573C23—42no—
574C23—41no—
575C23—42no—
576C23—42no—
577C23—44no—
578C23—41no—
579C23—42no—
580C23—41no—
581C23—42no—
582C23—44no—
583C23—42no—
584C23—42no—
585C23—41no—
586C23—42no—
587C23—41no—
588C23—42no—
589C23—44no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—41no—
594C23—44no—
595C23—42no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—42no—
603C23—44no—
604C23—42no—
605C23—44no—
606C23—44no—
607C23—42no—
608C23C23×D411yescharacteristic
609C23C23×D411yescharacteristic
610C23C23×Q811yescharacteristic
611C23C22×#4111yescharacteristic
612C23C22×#4111yescharacteristic
613C23C2×H(5,𝔽2)11yescharacteristic
614C23C2×H(5,𝔽2)12yes—
615C23C2×H(5,𝔽2)12yes—
616C23C2×2−1+411yescharacteristic
617C23C2×2−1+412yes—
618C23#58512yes—
619Q8—816no—
620D4—416no—
621D4—816no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—28no—
632C2×C4—24no—
633C2×C4—28no—
634C2×C4—28no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—28no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—416no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—816no—
705C2×C4C2×#12114yes—
706C2×C4C2×#12114yes—
707C2×C4C2×#12114yes—
708C2×C4C2×C22⋊Q818yes—
709C2×C4C2×C22⋊Q814yes—
710C2×C4#53714yes—
711C2×C4D4×Q814yes—
712C2×C4#55014yes—
713C2×C4#55414yes—
714C2×C4#55614yes—
715C22—44no—
716C22—48no—
717C22—44no—
718C22—48no—
719C22—42no—
720C22—44no—
721C22—44no—
722C22—42no—
723C22—42no—
724C22—44no—
725C22—81no—
726C22—82no—
727C22—81no—
728C22—82no—
729C22—82no—
730C22—84no—
731C22—82no—
732C22—84no—
733C22—81no—
734C22—82no—
735C22—82no—
736C22—81no—
737C22C22×#12111yescharacteristic
738C22C22×C22⋊Q811yescharacteristic
739C22C2×#53711yescharacteristic
740C22#346112yes—
741C22C2×D4×Q811yescharacteristic
742C22C2×#55011yescharacteristic
743C22C2×#55411yescharacteristic
744C22C2×#55611yescharacteristic
745C22#348412yes—
746C22#348511yescharacteristic
747C22#348611yescharacteristic
748C22#349712yes—
749C22#349811yescharacteristic
750C22#349811yescharacteristic
751C22#350112yes—
752C22#350312yes—
753C22#350812yes—
754C22#351312yes—
755C22#352212yes—
756C22#353612yes—
757C22#354212yes—
758C22#354712yes—
759C22#355212yes—
760C4—24no—
761C4—24no—
762C4—28no—
763C4—44no—
764C4—44no—
765C4—44no—
766C4—42no—
767C4—44no—
768C4—48no—
769C4—81no—
770C4—84no—
771C4—82no—
772C4—81no—
773C4—82no—
774C4#253818yes—
775C2—82no—
776C2—84no—
777C2C2×#253811yescharacteristic
778C2#3515311yescharacteristic
779C2#3552811yescharacteristic
780C2#3574811yescharacteristic
781C2#3583611yescharacteristic
782C2#3929212yes—
783C2#3969012yes—
784C2#4264611yescharacteristic
785C2#4279411yescharacteristic
786C2#4487912yes—
787C2#4488212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#121C22
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×#2542C2semidirect
2. C2×#2628C2semidirect
3. C2×#2369C2semidirect
5. #17071C2semidirect
6. #16899C2semidirect
7. #15280C2semidirect
8. #15276C2semidirect
9. #15148C2semidirect
10. #15141C2semidirect
11. #15131C2semidirect
12. #15103C2semidirect
13. #14005C2semidirect
15. #13954C2semidirect
16. #13941C2semidirect
17. #13852C2semidirect
94. C2×C4⋊Q8D4semidirect
100. C2×#121Q8semidirect
541. C4⋊C4C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#25422
C2×#26282
C2×#23692
C2×#23242
#170712
#168992
#152802
#152762
#151482
#151412
#151312
#151032
#140052
#139982
#139542
#139412
#138522