Finite Group Databasebeta

← #2736669

Subgroups — #2736669

Order 512.

3048 conjugacy classes of subgroups.

The subgroup lattice has 840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2537C211yesmaximal, characteristic, complemented
2C2×#2420C211yesmaximal, characteristic, complemented
3#17117C214yesmaximal, complemented
4#17095C214yesmaximal, complemented
5#16699C212yesmaximal, complemented
6#16508C212yesmaximal, complemented
7#16398C212yesmaximal, complemented
8#15220C212yesmaximal, complemented
9#15181C211yesmaximal, characteristic, complemented
10#15181C212yesmaximal, complemented
11#15153C211yesmaximal, characteristic, complemented
12#15135C211yesmaximal, characteristic, complemented
13#15126C212yesmaximal, complemented
14#15123C212yesmaximal, complemented
15#14659C212yesmaximal, complemented
16#13920C211yesmaximal, characteristic, complemented
17C4×#392C211yesmaximal, characteristic, complemented
18C22×#121C2212yes—
19C22×#121C2211yescharacteristic
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2212yes—
23C22×C4×D4C2211yescharacteristic
24#2537—28no—
25#2420—28no—
26C2×#400C2214yes—
27C2×#399C2212yes—
28C2×#397C2212yes—
29C2×#394C2214yes—
30C2×#394C2212yes—
31C2×#394C2214yes—
32C2×#392C2211yescharacteristic
33C2×#392C2214yes—
34C2×#390C2211yescharacteristic
35C2×#390C2212yes—
36C2×#389C2211yescharacteristic
37C2×#389C2212yes—
38C2×#389C2212yes—
39C2×#386C2212yes—
40C2×#384C2211yescharacteristic
41C2×#382C2211yescharacteristic
42C2×#381C2212yes—
43C2×#380C2212yes—
44C2×#380C2211yescharacteristic
45C2×#380C2212yes—
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×#380C2212yes—
49C2×#380C2212yes—
50C2×C4×C22⋊C4C2211yescharacteristic
51C2×C4×C22⋊C4C2212yes—
52#1445C2212yes—
53#1445C2212yes—
54#1445C2212yes—
55#1444C2212yes—
56#1444C2211yescharacteristic
57#1443C2214yes—
58#1442C2212yes—
59#1442C2214yes—
60#1441C2214yes—
61#1440C2214yes—
62#1439C2211yescharacteristic
63#1439C2214yes—
64#1439C2214yes—
65#1439C2214yes—
66#1439C2212yes—
67#1439C2212yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1439C2214yes—
73#1438C2214yes—
74#1438C2214yes—
75#1438C2214yes—
76#1438C2211yescharacteristic
77#1438C2212yes—
78#1438C2212yes—
79#1438C2214yes—
80C4⋊#95C2212yes—
81C4⋊#95C2212yes—
82C4⋊#95C2211yescharacteristic
83C22⋊#95C2212yes—
84C4×#95C2211yescharacteristic
85C23×D4C2311yescharacteristic
86C23×D4C2312yes—
87C23×D4C2312yes—
88C23×D4C2314yes—
89C23×D4C2311yescharacteristic
90C24×C4C2312yes—
91C24×C4C2311yescharacteristic
92C24×C4C2312yes—
93C2×#121—24no—
94C2×#121—28no—
95C2×#121—28no—
96C2×#121—28no—
97C2×#121—44no—
98C2×#121—44no—
99C2×#121—44no—
100C2×#121—44no—
101C2×C4×D4—24no—
102C2×C4×D4—44no—
103C2×C4×D4—44no—
104C2×C4×D4—44no—
105C2×C4×D4—44no—
106C2×C4×D4—44no—
107C2×C4×D4D418yescomplemented
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C22⋊C4C2311yescharacteristic
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2311yescharacteristic
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2312yes—
139C22×C42C2312yes—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#400—48no—
143#399—44no—
144#397—28no—
145#394—28no—
146#394—216no—
147#394—48no—
148#392—24no—
149#392—48no—
150#390—24no—
151#390—44no—
152#389—24no—
153#389—44no—
154#389—44no—
155#386—28no—
156#384—24no—
157#382—24no—
158#381—28no—
159#380—28no—
160#380—24no—
161#380—28no—
162#380—44no—
163#380—44no—
164#380—44no—
165#380—44no—
166C4×C22⋊C4—24no—
167C4×C22⋊C4—44no—
168C2×#95C2314yes—
169C2×#95C2311yescharacteristic
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2311yescharacteristic
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2311yescharacteristic
179C2×#95C2312yes—
180C2×#95C2311yescharacteristic
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C25C2412yes—
192C25C2412yes—
193C25C2411yescharacteristic
194C22×D4—24no—
195C22×D4—24no—
196C22×D4—28no—
197C22×D4—24no—
198C22×D4—28no—
199C22×D4—24no—
200C22×D4—22no—
201C22×D4—24no—
202C22×D4—22no—
203C22×D4—24no—
204C22×D4—22no—
205C22×D4—24no—
206C22×D4—22no—
207C22×D4—42no—
208C22×D4—42no—
209C22×D4—42no—
210C22×D4—42no—
211C22×D4—42no—
212C22×D4—42no—
213C22×D4—44no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4—44no—
217C22×D4—42no—
218C22×D4—44no—
219C22×D4—44no—
220C22×D4—44no—
221C22×D4C2×D414yes—
222C22×D4#4114yes—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—22no—
237C23×C4—44no—
238C23×C4—44no—
239C23×C4C2×D418yes—
240C23×C4C2411yescharacteristic
241C23×C4C2414yes—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2411yescharacteristic
245C23×C4C2411yescharacteristic
246C23×C4C2412yes—
247C23×C4C2414yes—
248C23×C4C2412yes—
249C23×C4C2411yescharacteristic
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254#121—432no—
255#121—416no—
256#121—432no—
257C4×D4—416no—
258C4×D4—416no—
259C4×D4—432no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—42no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4C2×D414yes—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—22no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—22no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—22no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—41no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—42no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4—42no—
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×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4C2×D418yes—
343C2×C42—24no—
344C2×C42—22no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42C2×D414yes—
350#95—22no—
351#95—22no—
352#95—28no—
353#95—24no—
354#95—24no—
355#95—24no—
356#95—24no—
357#95—22no—
358#95—22no—
359#95—24no—
360#95—28no—
361#95—28no—
362#95—24no—
363#95—42no—
364#95—42no—
365#95—42no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95—44no—
373C24—21no—
374C24—22no—
375C24—21no—
376C24—22no—
377C24—21no—
378C24—22no—
379C24—24no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—21no—
388C24—24no—
389C24—24no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—21no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—24no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—21no—
406C24—22no—
407C24C22×D414yes—
408C24C2×#4114yes—
409C242−1+412yes—
410C24C2511yescharacteristic
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—28no—
414C2×D4—28no—
415C2×D4—48no—
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—44no—
419C2×D4—44no—
420C2×D4—48no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—48no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—416no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—416no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—88no—
433C2×D4—84no—
434C2×D4—88no—
435C2×D4—88no—
436C2×D4—88no—
437C2×D4—88no—
438C2×D4—88no—
439C2×D4—88no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—216no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—21no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—88no—
525C22×C4—88no—
526C22×C4C22×D414yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C2×#4112yes—
531C22×C4H(5,𝔽2)14yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4H(5,𝔽2)14yes—
534C22×C4H(5,𝔽2)14yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C42−1+412yes—
537C4⋊C4—28no—
538C4⋊C4—44no—
539C4⋊C4—48no—
540C4⋊C4—44no—
541C4⋊C4—48no—
542C4⋊C4—44no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—84no—
546C4⋊C4—84no—
547C4⋊C4—88no—
548C4⋊C4—88no—
549C22⋊C4—48no—
550C22⋊C4—44no—
551C22⋊C4—48no—
552C22⋊C4—416no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—44no—
560C22⋊C4—84no—
561C22⋊C4—88no—
562C22⋊C4—84no—
563C22⋊C4—84no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C42—28no—
569C42—44no—
570C42—48no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—22no—
590C23—42no—
591C23—41no—
592C23—42no—
593C23—41no—
594C23—41no—
595C23—42no—
596C23—41no—
597C23—41no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—44no—
603C23—42no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—44no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—44no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23—44no—
627C23—42no—
628C23—44no—
629C23—44no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—44no—
639C23—42no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—44no—
646C23—42no—
647C23—42no—
648C23—44no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23C23×D411yescharacteristic
653C23C22×#4111yescharacteristic
654C23C2×H(5,𝔽2)12yes—
655C23C2×H(5,𝔽2)12yes—
656C23C2×H(5,𝔽2)11yescharacteristic
657C23C2×H(5,𝔽2)11yescharacteristic
658C23C2×H(5,𝔽2)12yes—
659C23C2×2−1+411yescharacteristic
660C23C2×2−1+411yescharacteristic
661C23#58512yes—
662C23#58511yescharacteristic
663D4—416no—
664D4—432no—
665D4—416no—
666D4—832no—
667D4—816no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—42no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—42no—
740C2×C4—44no—
741C2×C4—42no—
742C2×C4—816no—
743C2×C4—816no—
744C2×C4—88no—
745C2×C4#53414yes—
746C2×C4#53514yes—
747C2×C4#53714yes—
748C2×C4#54614yes—
749C2×C4#56018yes—
750C2×C4#56218yes—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—42no—
765C22—42no—
766C22—44no—
767C22—44no—
768C22—44no—
769C22—42no—
770C22—84no—
771C22—82no—
772C22—84no—
773C22—81no—
774C22—82no—
775C22—81no—
776C22—81no—
777C22—82no—
778C22—82no—
779C22—82no—
780C22—84no—
781C22—82no—
782C22—82no—
783C22—84no—
784C22—81no—
785C22—82no—
786C22—82no—
787C22—82no—
788C22C2×#53411yescharacteristic
789C22C2×#53511yescharacteristic
790C22C2×#53711yescharacteristic
791C22C2×#54611yescharacteristic
792C22#348511yescharacteristic
793C22#348911yescharacteristic
794C22#349811yescharacteristic
795C22#350512yes—
796C22#351511yescharacteristic
797C22#351912yes—
798C22#352011yescharacteristic
799C22C2×#56012yes—
800C22C2×#56212yes—
801C22#353612yes—
802C22#353912yes—
803C22#354112yes—
804C22#354212yes—
805C22#354212yes—
806C22#354612yes—
807C22#354611yescharacteristic
808C22#354712yes—
809C22#354912yes—
810C22#355211yescharacteristic
811C4—24no—
812C4—44no—
813C4—44no—
814C4—42no—
815C4—81no—
816C4—84no—
817C4—81no—
818C4—82no—
819C4—82no—
820C4—84no—
821C4—82no—
822C4—81no—
823C4—82no—
824C4#281318yes—
825C2—84no—
826C2—82no—
827C2—84no—
828C2C2×#281311yescharacteristic
829C2#3890811yescharacteristic
830C2#3895311yescharacteristic
831C2#3946611yescharacteristic
832C2#4264611yescharacteristic
833C2#4267911yescharacteristic
834C2#4298811yescharacteristic
835C2#4559212yes—
836C2#4559812yes—
837C2#5305512yes—
838C2#5309412yes—
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×#2537C2semidirect
2. C2×#2420C2semidirect
3. #17117C2semidirect
4. #17095C2semidirect
5. #16699C2semidirect
6. #16508C2semidirect
7. #16398C2semidirect
8. #15220C2semidirect
9. #15181C2semidirect
10. #15181C2semidirect
11. #15153C2semidirect
12. #15135C2semidirect
13. #15126C2semidirect
14. #15123C2semidirect
15. #14659C2semidirect
16. #13920C2semidirect
17. C4×#392C2semidirect
107. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25372
C2×#24202
#171172
#170952
#166992
#165082
#163982
#152202
#151812
#151532
#151352
#151262
#151232
#146592
#139202
C4×#3922