Finite Group Databasebeta

← #627850

Subgroups — #627850

Order 512.

3888 conjugacy classes of subgroups.

The subgroup lattice has 843 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2856C211yesmaximal, characteristic, complemented
2C2×#2619C211yesmaximal, characteristic, complemented
3C2×#2328C211yesmaximal, characteristic, complemented
4C2×#2290C211yesmaximal, characteristic, complemented
5#15803C214yesmaximal, complemented
6#15450C214yesmaximal, complemented
7#15277C214yesmaximal, complemented
8#15273C214yesmaximal, complemented
9#15147C212yesmaximal, complemented
10#15123C212yesmaximal, complemented
11#14682C211yesmaximal, characteristic, complemented
12#14348C211yesmaximal, characteristic, complemented
13#14340C211yesmaximal, characteristic, complemented
14#13970C212yesmaximal, complemented
15#13970C212yesmaximal, complemented
16C22×#127C2211yescharacteristic
17C22×#121C2212yes—
18C22×#121C2212yes—
19C22×#121C2214yes—
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2212yes—
22C22×#117C2211yescharacteristic
23C23×C42C2211yescharacteristic
24#2856—28no—
25#2619—28no—
26C2×#397C2214yes—
27C2×#394C2214yes—
28C2×#392C2214yes—
29C2×#392C2214yes—
30#2328—28no—
31C2×#390C2212yes—
32C2×#390C2214yes—
33C2×#390C2212yes—
34C2×#390C2212yes—
35#2290—28no—
36C2×#388C2212yes—
37C2×#387C2212yes—
38C2×#386C2214yes—
39C2×#386C2214yes—
40C2×#386C2212yes—
41C2×#386C2214yes—
42C2×#386C2214yes—
43C2×#385C2212yes—
44C2×#384C2211yescharacteristic
45C2×#382C2211yescharacteristic
46C2×#382C2211yescharacteristic
47C2×#380C2212yes—
48C2×#380C2212yes—
49C2×C4×C4⋊C4C2211yescharacteristic
50C2×C4×C22⋊C4C2211yescharacteristic
51C2×C4×C22⋊C4C2211yescharacteristic
52C2×#376C2211yescharacteristic
53#1442C2214yes—
54#1442C2214yes—
55#1441C2214yes—
56#1440C2214yes—
57#1440C2214yes—
58#1440C2214yes—
59#1440C2214yes—
60#1439C2214yes—
61#1439C2214yes—
62#1439C2214yes—
63#1438C2214yes—
64#1438C2214yes—
65#1438C2214yes—
66#1438C2214yes—
67C4⋊#95C2212yes—
68C4⋊#95C2212yes—
69C4⋊#95C2212yes—
70C4⋊#95C2212yes—
71#1434C2214yes—
72C22⋊#95C2214yes—
73C22⋊#95C2214yes—
74C22⋊#95C2214yes—
75C23×D4C2312yes—
76C23×D4C2311yescharacteristic
77C23×D4C2314yes—
78C23×D4C2314yes—
79C23×D4C2314yes—
80C24×C4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2312yes—
83C24×C4C2314yes—
84C2×#127—24no—
85C2×#127—24no—
86C2×#127D418yescomplemented
87C2×#121—28no—
88C2×#121—216no—
89C2×#121—28no—
90C2×#121—28no—
91C2×#121—28no—
92C2×#121—48no—
93C2×#121—44no—
94C2×#121—44no—
95C2×#121—48no—
96C2×C4×D4—24no—
97C2×C4×D4—24no—
98C2×C4×D4—24no—
99C2×C4×D4—28no—
100C2×C4×D4—44no—
101C2×C4×D4—44no—
102C2×#117—24no—
103C2×#117—24no—
104C2×#117—24no—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2314yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2311yescharacteristic
114C22×C22⋊C4C2311yescharacteristic
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C42—24no—
129C22×C42—24no—
130C22×C42—24no—
131C22×C42C2312yes—
132C22×C42C2311yescharacteristic
133C22×C42C2311yescharacteristic
134C22×C42C2311yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137#397—48no—
138#394—216no—
139#392—216no—
140#392—48no—
141#390—28no—
142#390—216no—
143#390—28no—
144#390—28no—
145#388—28no—
146#387—28no—
147#386—216no—
148#386—216no—
149#386—28no—
150#386—48no—
151#386—48no—
152#385—28no—
153#384—24no—
154#382—24no—
155#382—24no—
156#380—44no—
157#380—44no—
158C4×C4⋊C4—24no—
159C4×C22⋊C4—24no—
160C4×C22⋊C4—24no—
161#376D418yescomplemented
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2314yes—
167C2×#95C2312yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C25C2414yes—
180C25C2411yescharacteristic
181C25C2411yescharacteristic
182C22×D4—22no—
183C22×D4—22no—
184C22×D4—28no—
185C22×D4—24no—
186C22×D4—28no—
187C22×D4—28no—
188C22×D4—28no—
189C22×D4—28no—
190C22×D4—28no—
191C22×D4—24no—
192C22×D4—22no—
193C22×D4—28no—
194C22×D4—24no—
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—28no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—42no—
201C22×D4—44no—
202C22×D4—44no—
203C22×D4—44no—
204C22×D4—44no—
205C22×D4—44no—
206C22×D4—44no—
207C22×D4—44no—
208C22×D4—44no—
209C22×D4—44no—
210C22×D4—44no—
211C22×D4—44no—
212C22×D4—44no—
213C22×D4C2×D418yes—
214C22×D4C2×D4116yes—
215C23×C4—24no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—24no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—28no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4—44no—
239C23×C4—44no—
240C23×C4—44no—
241C23×C4#4114yes—
242C23×C4#4114yes—
243C23×C4C2412yes—
244C23×C4C2414yes—
245C23×C4C2414yes—
246C23×C4C2414yes—
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2412yes—
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255#127—232no—
256#121—432no—
257#121—432no—
258#121—464no—
259C4×D4—232no—
260C4×D4—432no—
261#117—416no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—42no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—22no—
285C2×C22⋊C4—22no—
286C2×C22⋊C4—22no—
287C2×C22⋊C4—22no—
288C2×C22⋊C4—22no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—42no—
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×C42—22no—
332C2×C42—22no—
333C2×C42—22no—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—22no—
337C2×C42—22no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—22no—
341C2×C42—22no—
342C2×C42—24no—
343C2×C42—22no—
344C2×C42—416no—
345C2×C42C2×D414yes—
346C2×C42C2×D414yes—
347C2×C42C2×D414yes—
348C2×C42C2×D414yes—
349C2×C42#4114yes—
350#95—24no—
351#95—24no—
352#95—24no—
353#95—28no—
354#95—28no—
355#95—28no—
356#95—44no—
357#95—44no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365#95C2×D418yes—
366#95C2×D418yes—
367C24—21no—
368C24—21no—
369C24—21no—
370C24—21no—
371C24—21no—
372C24—21no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—21no—
377C24—24no—
378C24—21no—
379C24—21no—
380C24—21no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—22no—
385C24—24no—
386C24—24no—
387C24—21no—
388C24—24no—
389C24—24no—
390C24—24no—
391C24—24no—
392C24—22no—
393C24—21no—
394C24—24no—
395C24—24no—
396C24—22no—
397C24—24no—
398C24—24no—
399C24—22no—
400C24C22×D418yes—
401C24C2×#4112yes—
402C24C2×#4112yes—
403C24H(5,𝔽2)14yes—
404C24C2511yescharacteristic
405C2×D4—28no—
406C2×D4—216no—
407C2×D4—232no—
408C2×D4—216no—
409C2×D4—216no—
410C2×D4—48no—
411C2×D4—416no—
412C2×D4—416no—
413C2×D4—48no—
414C2×D4—44no—
415C2×D4—44no—
416C2×D4—416no—
417C2×D4—416no—
418C2×D4—416no—
419C2×D4—416no—
420C2×D4—416no—
421C2×D4—416no—
422C2×D4—48no—
423C2×D4—48no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—88no—
427C2×D4—88no—
428C2×D4—88no—
429C2×D4—88no—
430C2×D4—88no—
431C2×D4—88no—
432C2×D4—88no—
433C2×D4—88no—
434C2×D4—88no—
435C2×D4—88no—
436C2×D4—88no—
437C2×D4—88no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—216no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—416no—
515C22×C4—48no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—88no—
525C22×C4—88no—
526C22×C4—88no—
527C22×C4—88no—
528C22×C4—88no—
529C22×C4—88no—
530C22×C4C22×D412yes—
531C22×C4C22×D414yes—
532C22×C4C22×D412yes—
533C22×C4C22×D414yes—
534C22×C4C22×D414yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4C2×#4114yes—
540C22×C4C2×#4112yes—
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4H(5,𝔽2)14yes—
544C22×C4H(5,𝔽2)12yes—
545C22×C4H(5,𝔽2)12yes—
546C4⋊C4—28no—
547C4⋊C4—48no—
548C4⋊C4—416no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C22⋊C4—28no—
554C22⋊C4—28no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C22⋊C4—416no—
562C22⋊C4—48no—
563C22⋊C4—88no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C22⋊C4—88no—
569C42—28no—
570C42—28no—
571C42—48no—
572C42—44no—
573C42—44no—
574C42#121116yes—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—22no—
584C23—22no—
585C23—24no—
586C23—24no—
587C23—28no—
588C23—22no—
589C23—24no—
590C23—28no—
591C23—28no—
592C23—22no—
593C23—22no—
594C23—28no—
595C23—28no—
596C23—28no—
597C23—28no—
598C23—24no—
599C23—41no—
600C23—41no—
601C23—42no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—41no—
610C23—44no—
611C23—44no—
612C23—41no—
613C23—44no—
614C23—41no—
615C23—41no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—41no—
620C23—41no—
621C23—44no—
622C23—44no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—42no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—42no—
637C23—42no—
638C23—44no—
639C23—44no—
640C23—41no—
641C23—44no—
642C23—41no—
643C23—42no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—42no—
648C23—44no—
649C23—44no—
650C23—42no—
651C23—44no—
652C23—44no—
653C23—42no—
654C23—44no—
655C23#54014yes—
656C23C23×D411yescharacteristic
657C23C23×D411yescharacteristic
658C23C22×#4111yescharacteristic
659C23C22×#4111yescharacteristic
660C23C22×#4111yescharacteristic
661C23C2×H(5,𝔽2)11yescharacteristic
662C23C2×H(5,𝔽2)11yescharacteristic
663C23C2×H(5,𝔽2)12yes—
664C23C2×H(5,𝔽2)12yes—
665C23#58512yes—
666C23#58512yes—
667D4—416no—
668D4—432no—
669D4—832no—
670D4—832no—
671D4—832no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—24no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—432no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—416no—
718C2×C4—416no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—42no—
728C2×C4—44no—
729C2×C4—42no—
730C2×C4—44no—
731C2×C4—42no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—832no—
748C2×C4C2×#12118yes—
749C2×C4C2×#12114yes—
750C2×C4#52514yes—
751C2×C4#53514yes—
752C2×C4#54614yes—
753C2×C4#54614yes—
754C2×C4#55314yes—
755C2×C4#55314yes—
756C22—24no—
757C22—24no—
758C22—24no—
759C22—42no—
760C22—44no—
761C22—42no—
762C22—42no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—42no—
767C22—44no—
768C22—48no—
769C22—48no—
770C22—42no—
771C22—48no—
772C22—44no—
773C22—48no—
774C22—48no—
775C22—48no—
776C22—48no—
777C22—42no—
778C22—42no—
779C22—81no—
780C22—84no—
781C22—81no—
782C22—84no—
783C22—84no—
784C22—84no—
785C22—81no—
786C22—81no—
787C22—84no—
788C22—84no—
789C22—82no—
790C22—82no—
791C22—84no—
792C22—84no—
793C22C22×#12111yescharacteristic
794C22C2×#52511yescharacteristic
795C22C2×#53511yescharacteristic
796C22C2×#54011yescharacteristic
797C22#345511yescharacteristic
798C22#346012yes—
799C22C2×#54611yescharacteristic
800C22C2×#54611yescharacteristic
801C22C2×#55311yescharacteristic
802C22C2×#55311yescharacteristic
803C22#348412yes—
804C22#348512yes—
805C22#348812yes—
806C22#348812yes—
807C22#349412yes—
808C22#349412yes—
809C22#349412yes—
810C22#350811yescharacteristic
811C22#351211yescharacteristic
812C22#354312yes—
813C22#354612yes—
814C22#355812yes—
815C22#356212yes—
816C4—28no—
817C4—42no—
818C4—42no—
819C4—44no—
820C4—44no—
821C4—42no—
822C4—42no—
823C4—84no—
824C4—84no—
825C4—84no—
826C4—82no—
827C4#253518yes—
828C2—44no—
829C2—82no—
830C2—88no—
831C2C2×#253511yescharacteristic
832C2#3525911yescharacteristic
833C2#3526111yescharacteristic
834C2#3551412yes—
835C2#3727812yes—
836C2#3769411yescharacteristic
837C2#3770011yescharacteristic
838C2#3774812yes—
839C2#3789311yescharacteristic
840C2#3789811yescharacteristic
841C2#3794612yes—
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×#2856C2semidirect
2. C2×#2619C2semidirect
3. C2×#2328C2semidirect
4. C2×#2290C2semidirect
5. #15803C2semidirect
6. #15450C2semidirect
7. #15277C2semidirect
8. #15273C2semidirect
9. #15147C2semidirect
10. #15123C2semidirect
11. #14682C2semidirect
12. #14348C2semidirect
13. #14340C2semidirect
14. #13970C2semidirect
15. #13970C2semidirect
86. C2×#127D4semidirect
161. #376D4semidirect

Maximal subgroups

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

subgroupindex
C2×#28562
C2×#26192
C2×#23282
C2×#22902
#158032
#154502
#152772
#152732
#151472
#151232
#146822
#143482
#143402
#139702