Finite Group Databasebeta

← #722758

Subgroups — #722758

Order 512.

3280 conjugacy classes of subgroups.

The subgroup lattice has 796 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×#2349C211yesmaximal, characteristic, complemented
4C2×#2324C211yesmaximal, characteristic
5#16265C212yesmaximal, complemented
6#16264C212yesmaximal, complemented
7#15585C214yesmaximal, complemented
8#15505C214yesmaximal, complemented
9#15137C212yesmaximal, complemented
10#15131C212yesmaximal, complemented
11#14759C212yesmaximal, complemented
12#14758C212yesmaximal, complemented
13#14161C211yesmaximal, characteristic, complemented
14#14150C211yesmaximal, characteristic, complemented
15#13970C212yesmaximal
16#13920C212yesmaximal, complemented
17#13852C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C22⋊Q8C2212yes—
21C22×#121C2211yescharacteristic
22C22×C4×D4C2212yes—
23C22×C4×D4C2211yescharacteristic
24C22×#117C2211yescharacteristic
25#2628—28no—
26#2542—28no—
27C2×#400C2212yes—
28C2×#399C2212yes—
29C2×#399C2214yes—
30C2×#398C2214yes—
31C2×#396C2214yes—
32C2×#395C2212yes—
33C2×#393C2212yes—
34#2349—28no—
35#2324—28no—
36C2×#390C2211yescharacteristic
37C2×#390C2212yes—
38C2×#390C2212yes—
39C2×#389C2211yescharacteristic
40C2×#389C2212yes—
41C2×#389C2212yes—
42C2×#389C2212yes—
43C2×#388C2212yes—
44C2×#386C2212yes—
45C2×#386C2214yes—
46C2×#385C2212yes—
47C2×#385C2214yes—
48C2×#384C2212yes—
49C2×#382C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×#380C2214yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58C22×#95C2212yes—
59#1446C2212yes—
60#1446C2212yes—
61#1444C2214yes—
62#1444C2212yes—
63#1442C2214yes—
64#1442C2212yes—
65#1441C2214yes—
66#1441C2214yes—
67#1441C2211yescharacteristic
68#1441C2211yescharacteristic
69#1441C2212yes—
70#1441C2214yes—
71#1440C2214yes—
72#1439C2214yes—
73#1439C2211yescharacteristic
74#1439C2212yes—
75#1439C2211yescharacteristic
76#1439C2214yes—
77#1439C2214yes—
78#1438C2214yes—
79#1436C2214yes—
80C4⋊#95C2212yes—
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83C4⋊#95C2214yes—
84C22⋊#95C2214yes—
85C22⋊#95C2214yes—
86C4×#95C2212yes—
87C23×Q8C2312yes—
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2314yes—
92C24×C4C2312yes—
93C2×C4⋊Q8—24no—
94C2×C4⋊Q8—24no—
95C2×C4⋊Q8—24no—
96C2×C22⋊Q8—28no—
97C2×C22⋊Q8—28no—
98C2×C22⋊Q8—48no—
99C2×C22⋊Q8—48no—
100C2×#121—24no—
101C2×#121—24no—
102C2×#121Q818yescomplemented
103C2×C4×D4—28no—
104C2×C4×D4—28no—
105C2×C4×D4—24no—
106C2×C4×D4—24no—
107C2×C4×D4—44no—
108C2×C4×D4D418yes—
109C2×#117—24no—
110C2×#117—24no—
111C2×#117—24no—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2314yes—
127C22×C4⋊C4C2314yes—
128C22×C4⋊C4C2312yes—
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2311yescharacteristic
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×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C42C2311yescharacteristic
143C22×C42C2312yes—
144C22×C42C2312yes—
145C22×C42C2312yes—
146C22×C42C2311yescharacteristic
147#400—28no—
148#399—216no—
149#399—28no—
150#398—48no—
151#396—48no—
152#395—28no—
153#393—28no—
154#390—24no—
155#390—28no—
156#390—28no—
157#389—24no—
158#389—28no—
159#389—28no—
160#389—44no—
161#388—28no—
162#386—28no—
163#386—48no—
164#385—28no—
165#385—216no—
166#384—28no—
167#382D418yescomplemented
168#380—24no—
169#380—28no—
170#380—28no—
171#380—48no—
172C4×C4⋊C4—24no—
173C4×C4⋊C4—24no—
174C4×C4⋊C4—24no—
175C4×C22⋊C4—44no—
176C2×#95—28no—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2314yes—
185C2×#95C2311yescharacteristic
186C2×#95C2311yescharacteristic
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2312yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C25C2411yescharacteristic
202C25C2412yes—
203C22×Q8—24no—
204C22×Q8—24no—
205C22×Q8—24no—
206C22×Q8—44no—
207C22×Q8—44no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4C2×D414yes—
217C22×D4C2×Q814yes—
218C22×D4C2×Q818yes—
219C22×D4#4114yes—
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—28no—
229C23×C4—28no—
230C23×C4—28no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4C2×D418yes—
238C23×C4C2×Q814yes—
239C23×C4C2411yescharacteristic
240C23×C4C2414yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2411yescharacteristic
244C23×C4C2412yes—
245C23×C4C2414yes—
246C23×C4C2411yescharacteristic
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2411yescharacteristic
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254C4⋊Q8—416no—
255C22⋊Q8—432no—
256C22⋊Q8—432no—
257#121—232no—
258C4×D4—232no—
259C4×D4—432no—
260#117—416no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—28no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—28no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—44no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4C2×D418yes—
307C2×C4⋊C4C2×D414yes—
308C2×C4⋊C4C2×Q814yes—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—22no—
322C2×C22⋊C4—22no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—42no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4C2×D418yes—
344C2×C22⋊C4C2×Q818yes—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—22no—
350C2×C42—24no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—44no—
356C2×C42C2×D414yes—
357C2×C42C2×D414yes—
358C2×C42#4114yes—
359#95—22no—
360#95—28no—
361#95—22no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—28no—
366#95—24no—
367#95—28no—
368#95—24no—
369#95—28no—
370#95—24no—
371#95—24no—
372#95—44no—
373#95—42no—
374#95—42no—
375#95—42no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95C2×D418yes—
382#95C2×D418yes—
383C24—22no—
384C24—22no—
385C24—24no—
386C24—24no—
387C24—22no—
388C24—24no—
389C24—22no—
390C24—24no—
391C24—21no—
392C24—21no—
393C24—21no—
394C24—21no—
395C24—22no—
396C24—22no—
397C24—21no—
398C24—22no—
399C24—21no—
400C24—22no—
401C24C22×D414yes—
402C24C22×Q812yes—
403C24C22×Q814yes—
404C24C2×#4114yes—
405C24C2511yescharacteristic
406C2×Q8—48no—
407C2×Q8—48no—
408C2×Q8—48no—
409C2×Q8—88no—
410C2×Q8—88no—
411C2×D4—216no—
412C2×D4—28no—
413C2×D4—28no—
414C2×D4—28no—
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—28no—
418C2×D4—416no—
419C2×D4—84no—
420C2×D4—84no—
421C2×D4—88no—
422C2×D4C22⋊Q8116yes—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—22no—
439C22×C4—21no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—216no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—416no—
501C22×C4—416no—
502C22×C4—416no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—88no—
508C22×C4—88no—
509C22×C4—88no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4—88no—
513C22×C4C22×D418yes—
514C22×C4C22×D414yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×Q812yes—
522C22×C4C22×Q814yes—
523C22×C4C22×Q812yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C4C2×#4112yes—
528C22×C4H(5,𝔽2)14yes—
529C22×C4H(5,𝔽2)14yes—
530C22×C4H(5,𝔽2)12yes—
531C22×C42−1+414yes—
532C22×C42−1+412yes—
533C4⋊C4—28no—
534C4⋊C4—28no—
535C4⋊C4—28no—
536C4⋊C4—28no—
537C4⋊C4—216no—
538C4⋊C4—48no—
539C4⋊C4—416no—
540C4⋊C4—416no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—84no—
547C4⋊C4—88no—
548C4⋊C4—88no—
549C4⋊C4—88no—
550C22⋊C4—216no—
551C22⋊C4—216no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—84no—
560C22⋊C4—88no—
561C22⋊C4—84no—
562C22⋊C4—84no—
563C42—44no—
564C42—48no—
565C42—48no—
566C42—84no—
567C42#121116yes—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—28no—
581C23—28no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—24no—
586C23—24no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—41no—
596C23—41no—
597C23—42no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23C2×C22⋊Q818yes—
614C23C23×D411yescharacteristic
615C23C23×D411yescharacteristic
616C23C23×Q811yescharacteristic
617C23C22×#4111yescharacteristic
618C23C22×#4111yescharacteristic
619C23C2×H(5,𝔽2)11yescharacteristic
620C23C2×H(5,𝔽2)12yes—
621C23C2×H(5,𝔽2)12yes—
622C23C2×2−1+411yescharacteristic
623C23C2×2−1+412yes—
624C23#58512yes—
625Q8—816no—
626D4—232no—
627D4—816no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—28no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—28no—
648C2×C4—28no—
649C2×C4—28no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—44no—
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—416no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—816no—
712C2×C4—832no—
713C2×C4C2×#12114yes—
714C2×C4C2×#12114yes—
715C2×C4C2×#12114yes—
716C2×C4C2×C22⋊Q814yes—
717C2×C4#53714yes—
718C2×C4#54614yes—
719C2×C4D4×Q814yes—
720C2×C4#55214yes—
721C2×C4#55414yes—
722C22—28no—
723C22—28no—
724C22—28no—
725C22—48no—
726C22—48no—
727C22—48no—
728C22—48no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—42no—
738C22—82no—
739C22—82no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22C22×#12111yescharacteristic
745C22C22×C22⋊Q811yescharacteristic
746C22C2×#53711yescharacteristic
747C22#346112yes—
748C22C2×#54611yescharacteristic
749C22C2×D4×Q811yescharacteristic
750C22C2×#55211yescharacteristic
751C22C2×#55411yescharacteristic
752C22#348411yescharacteristic
753C22#348411yescharacteristic
754C22#348912yes—
755C22#349812yes—
756C22#349911yescharacteristic
757C22#350011yescharacteristic
758C22#350112yes—
759C22#350312yes—
760C22#350812yes—
761C22#351412yes—
762C22#352012yes—
763C22#353612yes—
764C22#354212yes—
765C22#354412yes—
766C22#355912yes—
767C4—24no—
768C4—24no—
769C4—48no—
770C4—44no—
771C4—44no—
772C4—42no—
773C4—44no—
774C4—44no—
775C4—44no—
776C4—82no—
777C4—82no—
778C4—81no—
779C4—84no—
780C4—81no—
781C4#241718yes—
782C2—48no—
783C2—82no—
784C2C2×#241711yescharacteristic
785C2#3530811yescharacteristic
786C2#3552811yescharacteristic
787C2#3570211yescharacteristic
788C2#3573911yescharacteristic
789C2#3827212yes—
790C2#3969012yes—
791C2#4242411yescharacteristic
792C2#4242811yescharacteristic
793C2#4494112yes—
794C2#4507912yes—
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×#2349C2semidirect
5. #16265C2semidirect
6. #16264C2semidirect
7. #15585C2semidirect
8. #15505C2semidirect
9. #15137C2semidirect
10. #15131C2semidirect
11. #14759C2semidirect
12. #14758C2semidirect
13. #14161C2semidirect
14. #14150C2semidirect
16. #13920C2semidirect
17. #13852C2semidirect
102. C2×#121Q8semidirect
167. #382D4semidirect

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×#23492
C2×#23242
#162652
#162642
#155852
#155052
#151372
#151312
#147592
#147582
#141612
#141502
#139702
#139202
#138522