Finite Group Databasebeta

← #637624

Subgroups — #637624

Order 512.

3322 conjugacy classes of subgroups.

The subgroup lattice has 829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2855C211yesmaximal, characteristic, complemented
2C2×#2616C211yesmaximal, characteristic
3C2×#2297C211yesmaximal, characteristic
4C2×#2283C211yesmaximal, characteristic, complemented
5#16664C212yesmaximal, complemented
6#16663C212yesmaximal, complemented
7#16661C214yesmaximal, complemented
8#15236C212yesmaximal, complemented
9#15220C212yesmaximal, complemented
10#14901C212yesmaximal, complemented
11#14898C212yesmaximal, complemented
12#14838C214yesmaximal, complemented
13#14337C211yesmaximal, characteristic
14#14264C211yesmaximal, characteristic, complemented
15#14258C211yesmaximal, characteristic, complemented
16#13997C212yesmaximal, complemented
17#13973C212yesmaximal, complemented
18C23×#41C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2212yes—
21C22×#117C2211yescharacteristic
22C23×C42C2211yescharacteristic
23#2855—28no—
24#2616—28no—
25C2×#395C2212yes—
26C2×#394C2214yes—
27C2×#394C2212yes—
28#2297—28no—
29C2×#391C2211yescharacteristic
30C2×#391C2211yescharacteristic
31C2×#391C2211yescharacteristic
32C2×#391C2211yescharacteristic
33C2×#391C2212yes—
34C2×#390C2211yescharacteristic
35C2×#390C2211yescharacteristic
36C2×#389C2211yescharacteristic
37C2×#389C2211yescharacteristic
38C2×#389C2212yes—
39C2×#387C2212yes—
40C2×#387C2212yes—
41C2×#386C2212yes—
42C2×#386C2212yes—
43C2×#385C2212yes—
44#2283—28no—
45C2×#383C2212yes—
46C2×#382C2212yes—
47C2×#381C2212yes—
48C2×#381C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2211yescharacteristic
52C2×#380C2212yes—
53C2×#380C2212yes—
54C2×#380C2211yescharacteristic
55C2×C4×C4⋊C4C2212yes—
56C2×C4×C22⋊C4C2212yes—
57C2×C4×C22⋊C4C2212yes—
58C2×C4×C22⋊C4C2212yes—
59C2×#376C2212yes—
60#1446C2212yes—
61#1445C2214yes—
62#1444C2212yes—
63#1443C2214yes—
64#1442C2214yes—
65#1442C2214yes—
66#1442C2212yes—
67#1442C2214yes—
68#1441C2214yes—
69#1441C2212yes—
70#1441C2212yes—
71#1440C2214yes—
72#1440C2214yes—
73#1440C2214yes—
74#1439C2214yes—
75#1439C2214yes—
76#1439C2214yes—
77#1439C2214yes—
78#1439C2214yes—
79#1438C2214yes—
80#1438C2212yes—
81#1437C2214yes—
82#1437C2214yes—
83C4⋊#95C2214yes—
84C4⋊#95C2212yes—
85C4⋊#95C2212yes—
86#1434C2214yes—
87C22×#41—24no—
88C22×#41—24no—
89C22×#41—28no—
90C22×#41—24no—
91C22×#41—44no—
92C23×Q8C2311yescharacteristic
93C23×Q8C2311yescharacteristic
94C23×D4C2312yes—
95C23×D4C2311yescharacteristic
96C24×C4C2312yes—
97C24×C4C2311yescharacteristic
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C2×C22⋊Q8—24no—
101C2×C22⋊Q8—24no—
102C2×C22⋊Q8—28no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8—28no—
105C2×C22⋊Q8—44no—
106C2×#117—24no—
107C2×#117—44no—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C42—24no—
134C22×C42—24no—
135C22×C42D418yes—
136C22×C42C2312yes—
137C22×C42C2314yes—
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#395—28no—
143#394—216no—
144#394—28no—
145#391—24no—
146#391—24no—
147#391—24no—
148#391—24no—
149#391—44no—
150#390—24no—
151#390—24no—
152#389—24no—
153#389—24no—
154#389—44no—
155#387—28no—
156#387—28no—
157#386—28no—
158#386—28no—
159#385—28no—
160#383—28no—
161#382—28no—
162#381—28no—
163#381—28no—
164#380—24no—
165#380—24no—
166#380—28no—
167#380—28no—
168#380—44no—
169#380D418yes—
170C4×C4⋊C4—28no—
171C4×C22⋊C4—28no—
172C4×C22⋊C4—28no—
173C4×C22⋊C4—28no—
174#376—28no—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2312yes—
201C25C2412yes—
202C25C2411yescharacteristic
203C2×#41—232no—
204C2×#41—432no—
205C2×#41—432no—
206C2×#41—416no—
207C2×#41—416no—
208C22×Q8—22no—
209C22×Q8—22no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8—24no—
213C22×Q8—22no—
214C22×Q8—24no—
215C22×Q8—22no—
216C22×Q8—24no—
217C22×Q8—42no—
218C22×D4—24no—
219C22×D4—24no—
220C22×D4—24no—
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—24no—
226C22×D4—22no—
227C22×D4—42no—
228C22×D4—42no—
229C22×D4—42no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—42no—
244C23×C4—41no—
245C23×C4—41no—
246C23×C4—41no—
247C23×C4—41no—
248C23×C4C2×D414yes—
249C23×C4C2×D414yes—
250C23×C4C2×D414yes—
251C23×C4C2×D414yes—
252C23×C4#4118yes—
253C23×C4#4114yes—
254C23×C4C2412yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2414yes—
260C23×C4C2412yes—
261C23×C4C2414yes—
262C23×C4C2411yescharacteristic
263C23×C4C2411yescharacteristic
264C23×C4C2411yescharacteristic
265C23×C4C2412yes—
266C23×C4C2411yescharacteristic
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269C22⋊Q8—432no—
270C22⋊Q8—416no—
271#117—416no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—42no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—42no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4C2×D418yes—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
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×D418yes—
342C2×C42—232no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—24no—
352C2×C42—28no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—28no—
356C2×C42—44no—
357C2×C42C2×D414yes—
358C2×C42C2×D414yes—
359C2×C42C2×D414yes—
360C2×C42C2×D414yes—
361#95—24no—
362#95—28no—
363#95—28no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—28no—
369#95—24no—
370#95—28no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95—28no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95—44no—
385#95—44no—
386#95C2×D418yes—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—21no—
392C24—21no—
393C24—21no—
394C24—21no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24C22×D412yes—
410C24C22×D412yes—
411C24C2×#4114yes—
412C24C2×#4112yes—
413C24C2511yescharacteristic
414#41—4128no—
415C2×Q8—28no—
416C2×Q8—48no—
417C2×Q8—48no—
418C2×Q8—44no—
419C2×Q8—44no—
420C2×Q8—44no—
421C2×Q8—44no—
422C2×Q8—44no—
423C2×Q8—48no—
424C2×Q8—48no—
425C2×D4—28no—
426C2×D4—216no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—44no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—44no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—28no—
443C22×C4—28no—
444C22×C4—216no—
445C22×C4—216no—
446C22×C4—28no—
447C22×C4—28no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—216no—
477C22×C4—28no—
478C22×C4—216no—
479C22×C4—216no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4#121116yes—
537C22×C4C22×D412yes—
538C22×C4C22×D418yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D412yes—
546C22×C4C2×#4114yes—
547C22×C4C2×#4112yes—
548C22×C4C2×#4112yes—
549C22×C4C2×#4114yes—
550C22×C4H(5,𝔽2)14yes—
551C22×C42−1+414yes—
552C4⋊C4—216no—
553C4⋊C4—416no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—48no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—48no—
563C4⋊C4—88no—
564C22⋊C4—48no—
565C22⋊C4—416no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—88no—
575C22⋊C4—88no—
576C22⋊C4—88no—
577C42—28no—
578C42—28no—
579C42—28no—
580C42—28no—
581C42—416no—
582C42—48no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23C2×#12114yes—
641C23C23×D411yescharacteristic
642C23C23×D411yescharacteristic
643C23C22×#4111yescharacteristic
644C23C22×#4112yes—
645C23C2×H(5,𝔽2)12yes—
646C23C2×2−1+412yes—
647C23#58511yescharacteristic
648C23#58511yescharacteristic
649C23#58511yescharacteristic
650C23#58511yescharacteristic
651C23#58512yes—
652Q8—416no—
653Q8—88no—
654D4—416no—
655D4—432no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—232no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—28no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—416no—
681C2×C4—416no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—432no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—42no—
740C2×C4—44no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4C2×#12114yes—
745C2×C4C2×#12114yes—
746C2×C4#52514yes—
747C2×C4#53514yes—
748C2×C4#53614yes—
749C2×C4#54618yes—
750C2×C4#55118yes—
751C22—24no—
752C22—24no—
753C22—24no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—42no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—44no—
767C22—44no—
768C22—44no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—82no—
776C22—82no—
777C22C22×#12111yescharacteristic
778C22C2×#52511yescharacteristic
779C22C2×#53511yescharacteristic
780C22C2×#53611yescharacteristic
781C22#344911yescharacteristic
782C22#344911yescharacteristic
783C22#344911yescharacteristic
784C22#346112yes—
785C22#346112yes—
786C22C2×#54612yes—
787C22C2×#55112yes—
788C22#348511yescharacteristic
789C22#348711yescharacteristic
790C22#348912yes—
791C22#349311yescharacteristic
792C22#349311yescharacteristic
793C22#349512yes—
794C22#351012yes—
795C22#351212yes—
796C22#354712yes—
797C22#354712yes—
798C22#355112yes—
799C22#355112yes—
800C4—24no—
801C4—24no—
802C4—42no—
803C4—42no—
804C4—48no—
805C4—44no—
806C4—42no—
807C4—82no—
808C4—82no—
809C4—82no—
810C4—84no—
811C4—82no—
812C4—82no—
813C4—82no—
814C4#241118yes—
815C2—44no—
816C2—84no—
817C2#3462711yescharacteristic
818C2C2×#241111yescharacteristic
819C2#3515011yescharacteristic
820C2#3530611yescharacteristic
821C2#3534211yescharacteristic
822C2#3755011yescharacteristic
823C2#3763411yescharacteristic
824C2#3778412yes—
825C2#3778712yes—
826C2#3797312yes—
827C2#3797412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×#41C22
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×#2855C2semidirect
4. C2×#2283C2semidirect
5. #16664C2semidirect
6. #16663C2semidirect
7. #16661C2semidirect
8. #15236C2semidirect
9. #15220C2semidirect
10. #14901C2semidirect
11. #14898C2semidirect
12. #14838C2semidirect
14. #14264C2semidirect
15. #14258C2semidirect
16. #13997C2semidirect
17. #13973C2semidirect

Maximal subgroups

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

subgroupindex
C2×#28552
C2×#26162
C2×#22972
C2×#22832
#166642
#166632
#166612
#152362
#152202
#149012
#148982
#148382
#143372
#142642
#142582
#139972
#139732