Finite Group Databasebeta

← #921200

Subgroups — #921200

Order 512.

3218 conjugacy classes of subgroups.

The subgroup lattice has 823 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2548C211yesmaximal, characteristic, complemented
2C2×#2398C211yesmaximal, characteristic, complemented
3#17115C214yesmaximal, complemented
4#17068C212yesmaximal, complemented
5#16932C212yesmaximal, complemented
6#16599C212yesmaximal, complemented
7#16551C212yesmaximal, complemented
8#15317C214yesmaximal, complemented
9#15130C212yesmaximal, complemented
10#15124C212yesmaximal, complemented
11#15123C212yesmaximal, complemented
12#14260C212yesmaximal, complemented
13#13998C212yesmaximal, complemented
14#13993C212yesmaximal, complemented
15#13926C211yesmaximal, characteristic, complemented
16C22×#127C2211yescharacteristic
17C22×#124C2212yes—
18C22×#121C2212yes—
19C22×#121C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#2548—28no—
23#2398—28no—
24C2×#400C2211yescharacteristic
25C2×#400C2211yescharacteristic
26C2×#397C2212yes—
27C2×#394C2212yes—
28C2×#394C2212yes—
29C2×#394C2211yescharacteristic
30C2×#394C2211yescharacteristic
31C2×#394C2214yes—
32C2×#394C2214yes—
33C2×#393C2212yes—
34C2×#392C2214yes—
35C2×#392C2214yes—
36C2×#392C2214yes—
37C2×#391C2212yes—
38C2×#390C2212yes—
39C2×#390C2212yes—
40C2×#390C2212yes—
41C2×#390C2212yes—
42C2×#390C2212yes—
43C2×#390C2214yes—
44C2×#389C2212yes—
45C2×#384C2211yescharacteristic
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×C4×C4⋊C4C2211yescharacteristic
49C2×C4×C4⋊C4C2211yescharacteristic
50C2×C4×C22⋊C4C2212yes—
51C2×C4×C22⋊C4C2212yes—
52C2×#376C2211yescharacteristic
53#1443C2214yes—
54#1441C2212yes—
55#1441C2212yes—
56#1440C2214yes—
57#1440C2214yes—
58#1439C2214yes—
59#1439C2214yes—
60#1439C2214yes—
61#1439C2214yes—
62#1439C2214yes—
63#1439C2214yes—
64#1439C2214yes—
65#1438C2214yes—
66#1438C2214yes—
67#1438C2214yes—
68#1438C2214yes—
69#1438C2214yes—
70#1437C2214yes—
71#1437C2214yes—
72#1436C2214yes—
73C4⋊#95C2212yes—
74C4⋊#95C2212yes—
75C4⋊#95C2212yes—
76C4⋊#95C2212yes—
77C23×Q8C2311yescharacteristic
78C23×D4C2312yes—
79C23×D4C2311yescharacteristic
80C23×D4C2312yes—
81C23×D4C2314yes—
82C23×D4C2314yes—
83C23×D4C2312yes—
84C24×C4C2312yes—
85C2×#127—24no—
86C2×#127—42no—
87C2×#127—42no—
88C2×#124—28no—
89C2×#124—44no—
90C2×#124—44no—
91C2×#121—28no—
92C2×#121—44no—
93C2×#121—44no—
94C2×#121—44no—
95C2×#121—44no—
96C2×#121—44no—
97C2×C4×Q8—42no—
98C2×C4×Q8—42no—
99C2×C4×Q8D418yescomplemented
100C2×C4×D4—24no—
101C2×C4×D4—42no—
102C2×C4×D4—42no—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C42C2312yes—
131C22×C42C2311yescharacteristic
132C22×C42C2311yescharacteristic
133C22×C42C2311yescharacteristic
134C22×C42C2312yes—
135C22×C42C2312yes—
136#400—24no—
137#400—24no—
138#397—28no—
139#394—24no—
140#394—24no—
141#394—28no—
142#394—28no—
143#394—48no—
144#394—48no—
145#393—28no—
146#392—48no—
147#392—48no—
148#392—48no—
149#391—44no—
150#390—28no—
151#390—28no—
152#390—28no—
153#390—28no—
154#390—48no—
155#390—44no—
156#389—44no—
157#384—42no—
158#380—28no—
159#380—44no—
160C4×C4⋊C4—24no—
161C4×C4⋊C4—42no—
162C4×C22⋊C4—28no—
163C4×C22⋊C4—28no—
164#376—24no—
165C2×#95C2314yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2311yescharacteristic
171C2×#95C2311yescharacteristic
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C25C2414yes—
184C25C2412yes—
185C22×Q8—22no—
186C22×Q8—22no—
187C22×Q8—22no—
188C22×Q8—22no—
189C22×Q8—41no—
190C22×Q8—41no—
191C22×Q8C2×D414yes—
192C22×D4—24no—
193C22×D4—28no—
194C22×D4—28no—
195C22×D4—22no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—28no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—41no—
209C22×D4—41no—
210C22×D4—42no—
211C22×D4—44no—
212C22×D4—44no—
213C22×D4—44no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4—42no—
217C22×D4—42no—
218C22×D4—42no—
219C22×D4—42no—
220C22×D4—42no—
221C22×D4—42no—
222C22×D4—44no—
223C22×D4—44no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—44no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4C2412yes—
238C23×C4C2414yes—
239C23×C4C2412yes—
240C23×C4C2412yes—
241C23×C4C2414yes—
242C23×C4C2411yescharacteristic
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245C23×C4C2411yescharacteristic
246C23×C4C2414yes—
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250#127—416no—
251#124—432no—
252#121—432no—
253#121—432no—
254C4×Q8—416no—
255C4×D4—416no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—41no—
267C2×C4⋊C4—41no—
268C2×C4⋊C4—41no—
269C2×C4⋊C4—41no—
270C2×C4⋊C4—41no—
271C2×C4⋊C4—41no—
272C2×C4⋊C4—41no—
273C2×C4⋊C4—41no—
274C2×C4⋊C4—44no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4C2×D414yes—
282C2×C4⋊C4C2×D414yes—
283C2×C4⋊C4C2×D414yes—
284C2×C4⋊C4#4118yes—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
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⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C42—22no—
337C2×C42—22no—
338C2×C42—22no—
339C2×C42—22no—
340C2×C42—22no—
341C2×C42—22no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—42no—
348C2×C42—42no—
349C2×C42—42no—
350C2×C42—42no—
351C2×C42C2×D414yes—
352C2×C42C2×D414yes—
353C2×C42C2×D414yes—
354#95—24no—
355#95—22no—
356#95—22no—
357#95—24no—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—28no—
363#95—28no—
364#95—42no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—24no—
387C24—24no—
388C24—24no—
389C24—24no—
390C24—24no—
391C24—24no—
392C24—24no—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—24no—
397C24—24no—
398C24—24no—
399C24—24no—
400C24—24no—
401C24H(5,𝔽2)14yes—
402C24C2511yescharacteristic
403C2×Q8—28no—
404C2×Q8—28no—
405C2×Q8—44no—
406C2×Q8—44no—
407C2×Q8—44no—
408C2×Q8—44no—
409C2×Q8—44no—
410C2×D4—48no—
411C2×D4—44no—
412C2×D4—416no—
413C2×D4—416no—
414C2×D4—48no—
415C2×D4—48no—
416C2×D4—48no—
417C2×D4—44no—
418C2×D4—48no—
419C2×D4—44no—
420C2×D4—416no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—48no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—84no—
430C2×D4—84no—
431C2×D4—84no—
432C2×D4—84no—
433C2×D4—88no—
434C2×D4—88no—
435C2×D4—88no—
436C2×D4—88no—
437C2×D4—88no—
438C2×D4—88no—
439C2×D4—88no—
440C2×D4—88no—
441C2×D4—84no—
442C2×D4—84no—
443C2×D4—88no—
444C2×D4—88no—
445C2×D4—88no—
446C2×D4—88no—
447C2×D4—88no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—24no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—22no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C2×#4118yes—
530C22×C4C2×#4114yes—
531C22×C4H(5,𝔽2)12yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4H(5,𝔽2)14yes—
537C22×C42−1+412yes—
538C4⋊C4—216no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—84no—
546C4⋊C4—84no—
547C4⋊C4—88no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—416no—
552C22⋊C4—416no—
553C22⋊C4—416no—
554C22⋊C4—48no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—88no—
558C22⋊C4—88no—
559C22⋊C4—88no—
560C22⋊C4—88no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C22⋊C4—88no—
565C42—28no—
566C42—28no—
567C42—28no—
568C42—48no—
569C42—48no—
570C42—84no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
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—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23C23×D411yescharacteristic
642C23C22×#4112yes—
643C23C2×H(5,𝔽2)11yescharacteristic
644C23C2×H(5,𝔽2)11yescharacteristic
645C23C2×H(5,𝔽2)11yescharacteristic
646C23C2×H(5,𝔽2)11yescharacteristic
647C23C2×H(5,𝔽2)11yescharacteristic
648C23C2×H(5,𝔽2)12yes—
649C23C2×H(5,𝔽2)12yes—
650C23C2×2−1+411yescharacteristic
651C23#58512yes—
652Q8—416no—
653D4—416no—
654D4—816no—
655D4—832no—
656D4—816no—
657D4—832no—
658D4—816no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—28no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—44no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—44no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—42no—
733C2×C4—44no—
734C2×C4—42no—
735C2×C4—816no—
736C2×C4#53414yes—
737C2×C4#53514yes—
738C2×C4#53714yes—
739C2×C4#53818yes—
740C2×C4#55018yes—
741C2×C4#55514yes—
742C2×C4H(3,𝔽4)14yes—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—84no—
759C22—84no—
760C22—84no—
761C22—84no—
762C22—84no—
763C22—84no—
764C22—84no—
765C22—84no—
766C22—84no—
767C22—84no—
768C22—84no—
769C22—84no—
770C22—84no—
771C22—84no—
772C22—84no—
773C22C2×#53411yescharacteristic
774C22C2×#53511yescharacteristic
775C22C2×#53711yescharacteristic
776C22C2×#53812yes—
777C22C2×#55012yes—
778C22C2×#55511yescharacteristic
779C22#348812yes—
780C22#351412yes—
781C22#351712yes—
782C22#351912yes—
783C22#352212yes—
784C22C2×H(3,𝔽4)11yescharacteristic
785C22#353611yescharacteristic
786C22#353611yescharacteristic
787C22#353711yescharacteristic
788C22#353711yescharacteristic
789C22#353711yescharacteristic
790C22#354011yescharacteristic
791C22#354212yes—
792C22#354312yes—
793C22#354312yes—
794C22#354612yes—
795C22#355412yes—
796C4—24no—
797C4—24no—
798C4—42no—
799C4—48no—
800C4—42no—
801C4—42no—
802C4—42no—
803C4—82no—
804C4—82no—
805C4—84no—
806C4—82no—
807C4—84no—
808C4#273318yes—
809C2—84no—
810C2—164no—
811C2#3726911yescharacteristic
812C2#3743911yescharacteristic
813C2#3913712yes—
814C2#3913812yes—
815C2#4258112yes—
816C2#4283812yes—
817C2#4537811yescharacteristic
818C2#4540811yescharacteristic
819C2C2×#273311yescharacteristic
820C2#5298611yescharacteristic
821C2#5308011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
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×#2548C2semidirect
2. C2×#2398C2semidirect
3. #17115C2semidirect
4. #17068C2semidirect
5. #16932C2semidirect
6. #16599C2semidirect
7. #16551C2semidirect
8. #15317C2semidirect
9. #15130C2semidirect
10. #15124C2semidirect
11. #15123C2semidirect
12. #14260C2semidirect
13. #13998C2semidirect
14. #13993C2semidirect
15. #13926C2semidirect
99. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25482
C2×#23982
#171152
#170682
#169322
#165992
#165512
#153172
#151302
#151242
#151232
#142602
#139982
#139932
#139262