Finite Group Databasebeta

← #4930247

Subgroups — #4930247

Order 512.

4826 conjugacy classes of subgroups.

The subgroup lattice has 801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#520C211yesmaximal, characteristic
2C2×#2432C211yesmaximal, characteristic
3C2×#2447C212yesmaximal, complemented
4#15092C212yesmaximal, complemented
5#15073C212yesmaximal, complemented
6#14892C212yesmaximal, complemented
7#14892C212yesmaximal, complemented
8#14823C214yesmaximal, complemented
9#14731C214yesmaximal, complemented
10#14258C211yesmaximal, characteristic, complemented
11#14139C211yesmaximal, characteristic, complemented
12#14130C211yesmaximal, characteristic, complemented
13#14024C212yesmaximal, complemented
14#14017C212yesmaximal, complemented
15#13937C211yesmaximal, characteristic
16#13916C212yesmaximal, complemented
17#13844C211yesmaximal, characteristic, complemented
18C23×#41C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#124C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C2×#520—28no—
23C2×#520—216no—
24C22×C4×Q8C2212yes—
25C22×C4×D4C2214yes—
26C22×C4×D4C2212yes—
27C22×#117C2211yescharacteristic
28C22×#117C2212yes—
29C23×C4⋊C4C2211yescharacteristic
30C23×C4⋊C4C2212yes—
31#2447—216no—
32#2432—28no—
33C2×#397C2214yes—
34C2×#397C2214yes—
35C2×#394C2212yes—
36C2×#394C2212yes—
37C2×#391C2212yes—
38C2×#391C2212yes—
39C2×#391C2212yes—
40C2×#391C2211yescharacteristic
41C2×#390C2211yescharacteristic
42C2×#390C2212yes—
43C2×#389C2212yes—
44C2×#385C2212yes—
45C2×#385C2212yes—
46C2×#385C2214yes—
47C2×#385C2212yes—
48C2×#381C2214yes—
49C2×#381C2214yes—
50C2×#380C2211yescharacteristic
51C2×C4×C4⋊C4C2212yes—
52C2×C4×C22⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2211yescharacteristic
54#1444C2211yescharacteristic
55#1444C2211yescharacteristic
56#1444C2212yes—
57#1444C2214yes—
58#1442C2211yescharacteristic
59#1442C2211yescharacteristic
60#1442C2212yes—
61#1442C2214yes—
62#1441C2212yes—
63#1441C2212yes—
64#1441C2212yes—
65#1441C2214yes—
66#1441C2212yes—
67#1441C2214yes—
68#1440C2214yes—
69#1440C2214yes—
70#1440C2214yes—
71#1439C2212yes—
72#1439C2212yes—
73#1438C2214yes—
74#1436C2214yes—
75#1436C2214yes—
76#1436C2214yes—
77#1436C2214yes—
78C4⋊#95C2212yes—
79C4⋊#95C2212yes—
80C4⋊#95C2212yes—
81C22⋊#95C2212yes—
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2214yes—
85C22⋊#95C2214yes—
86C4×#95C2212yes—
87C22×#41—28no—
88C22×#41—28no—
89C22×#41—24no—
90C22×#41—24no—
91C22×#41D418yes—
92C23×Q8C2311yescharacteristic
93C23×Q8C2311yescharacteristic
94C23×D4C2312yes—
95C23×D4C2311yescharacteristic
96C24×C4C2312yes—
97C24×C4C2311yescharacteristic
98C24×C4C2312yes—
99C24×C4C2314yes—
100C2×C4⋊Q8—24no—
101C2×C4⋊Q8—28no—
102C2×#124—24no—
103C2×#124—28no—
104C2×C22⋊Q8—24no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—24no—
107#520—2128no—
108C2×C4×Q8—28no—
109C2×C4×Q8—28no—
110C2×C4×Q8—28no—
111C2×C4×D4—216no—
112C2×C4×D4—28no—
113C2×C4×D4—28no—
114C2×C4×D4—216no—
115C2×C4×D4—216no—
116C2×C4×D4D4116yes—
117C2×#117—28no—
118C2×#117—24no—
119C2×#117—216no—
120C2×#117—28no—
121C22×C4⋊C4—216no—
122C22×C4⋊C4—28no—
123C22×C4⋊C4—24no—
124C22×C4⋊C4—28no—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2314yes—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2312yes—
133C22×C4⋊C4C2312yes—
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2314yes—
137C22×C4⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2311yescharacteristic
143C22×C22⋊C4C2311yescharacteristic
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2314yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2314yes—
149C22×C22⋊C4C2314yes—
150C22×C22⋊C4C2312yes—
151C22×C42C2314yes—
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154C22×C42C2312yes—
155C22×C42C2312yes—
156#397—216no—
157#397—216no—
158#394—28no—
159#394—28no—
160#391—24no—
161#391—28no—
162#391—28no—
163#391—28no—
164#390—24no—
165#390—28no—
166#389—28no—
167#385—28no—
168#385—28no—
169#385—216no—
170#385—44no—
171#381—216no—
172#381—48no—
173#380—24no—
174C4×C4⋊C4—28no—
175C4×C22⋊C4—24no—
176C4×C22⋊C4—24no—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2311yescharacteristic
188C2×#95C2312yes—
189C2×#95C2311yescharacteristic
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2312yes—
194C2×#95C2314yes—
195C2×#95C2311yescharacteristic
196C2×#95C2311yescharacteristic
197C2×#95C2312yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C25C2412yes—
204C25C2411yescharacteristic
205C2×#41—264no—
206C2×#41—264no—
207C2×#41—232no—
208C2×#41—232no—
209C2×#41—232no—
210C22×Q8—24no—
211C22×Q8—22no—
212C22×Q8—24no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—22no—
216C22×Q8—22no—
217C22×Q8—24no—
218C22×Q8C2×D414yes—
219C22×Q8#4118yes—
220C22×D4—28no—
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—28no—
224C22×D4—24no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4C2×D418yes—
228C22×D4C2×D414yes—
229C22×D4C2×D418yes—
230C23×C4—28no—
231C23×C4—24no—
232C23×C4—28no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—28no—
238C23×C4—28no—
239C23×C4—28no—
240C23×C4—44no—
241C23×C4—44no—
242C23×C4—44no—
243C23×C4—44no—
244C23×C4—42no—
245C23×C4—44no—
246C23×C4—42no—
247C23×C4C2×D418yes—
248C23×C4C2×D414yes—
249C23×C4C2×D4116yes—
250C23×C4#4114yes—
251C23×C4#4114yes—
252C23×C4C2411yescharacteristic
253C23×C4C2412yes—
254C23×C4C2414yes—
255C23×C4C2412yes—
256C23×C4C2411yescharacteristic
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2412yes—
260C23×C4C2414yes—
261C23×C4C2411yescharacteristic
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
264C23×C4C2411yescharacteristic
265C23×C4C2412yes—
266C23×C4C2411yescharacteristic
267C4⋊Q8—416no—
268#124—416no—
269C22⋊Q8—416no—
270C4×Q8—264no—
271C4×D4—2128no—
272C4×D4—264no—
273#117—264no—
274#117—232no—
275C2×C4⋊C4—264no—
276C2×C4⋊C4—232no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—28no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—42no—
306C2×C4⋊C4—42no—
307C2×C4⋊C4—42no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4C2×D418yes—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—22no—
322C2×C22⋊C4—22no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—22no—
332C2×C22⋊C4—22no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—41no—
341C2×C22⋊C4—41no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—42no—
344C2×C22⋊C4—42no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4C2×D4116yes—
348C2×C42—28no—
349C2×C42—28no—
350C2×C42—28no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—22no—
354C2×C42—24no—
355C2×C42—22no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42C2×D418yes—
361#95—22no—
362#95—22no—
363#95—24no—
364#95—24no—
365#95—28no—
366#95—28no—
367#95—28no—
368#95—24no—
369#95—24no—
370#95—28no—
371#95—28no—
372#95—22no—
373#95—22no—
374#95—24no—
375#95—28no—
376#95—28no—
377#95—24no—
378#95—28no—
379#95—24no—
380#95—24no—
381#95—42no—
382#95—44no—
383#95—44no—
384#95—44no—
385#95—44no—
386#95—44no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24—21no—
394C24—24no—
395C24—22no—
396C24—21no—
397C24—22no—
398C24—22no—
399C24—21no—
400C24—22no—
401C24—24no—
402C24—21no—
403C24—22no—
404C24C22×D414yes—
405C24C22×D418yes—
406C24C22×D412yes—
407C24C2×#4112yes—
408C24C2×#4112yes—
409C24C2511yescharacteristic
410#41—2256no—
411C2×Q8—28no—
412C2×Q8—28no—
413C2×Q8—216no—
414C2×Q8—216no—
415C2×Q8—44no—
416C2×Q8—44no—
417C2×Q8—44no—
418C2×Q8—48no—
419C2×Q8—48no—
420C2×Q8#123116yes—
421C2×D4—232no—
422C2×D4—232no—
423C2×D4—216no—
424C2×D4—216no—
425C2×D4—216no—
426C2×D4—28no—
427C2×D4—28no—
428C2×D4—216no—
429C2×D4—216no—
430C2×D4#120116yes—
431C22×C4—232no—
432C22×C4—232no—
433C22×C4—216no—
434C22×C4—24no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—28no—
440C22×C4—216no—
441C22×C4—216no—
442C22×C4—28no—
443C22×C4—216no—
444C22×C4—216no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—216no—
478C22×C4—232no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—416no—
516C22×C4—416no—
517C22×C4—88no—
518C22×C4—88no—
519C22×C4—88no—
520C22×C4—88no—
521C22×C4—84no—
522C22×C4—88no—
523C22×C4—88no—
524C22×C4—84no—
525C22×C4#123116yes—
526C22×C4C22×D414yes—
527C22×C4C22×D418yes—
528C22×C4C22×D414yes—
529C22×C4C22×D414yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D414yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4118yes—
536C22×C4C2×#4114yes—
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4H(5,𝔽2)12yes—
540C22×C42−1+412yes—
541C22×C42−1+414yes—
542C4⋊C4—216no—
543C4⋊C4—28no—
544C4⋊C4—232no—
545C4⋊C4—28no—
546C4⋊C4—216no—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—44no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—88no—
555C22⋊C4—216no—
556C22⋊C4—232no—
557C22⋊C4—44no—
558C22⋊C4—48no—
559C22⋊C4—44no—
560C22⋊C4—48no—
561C22⋊C4—416no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—88no—
568C42—232no—
569C42—216no—
570C42—44no—
571C42—44no—
572C42—48no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—22no—
577C23—28no—
578C23—28no—
579C23—24no—
580C23—24no—
581C23—28no—
582C23—24no—
583C23—22no—
584C23—22no—
585C23—28no—
586C23—24no—
587C23—24no—
588C23—28no—
589C23—22no—
590C23—28no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—22no—
595C23—24no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—44no—
610C23—42no—
611C23—44no—
612C23—42no—
613C23—44no—
614C23—42no—
615C23—44no—
616C23—42no—
617C23C2×#12018yes—
618C23C2×#12314yes—
619C23C23×D411yescharacteristic
620C23C23×D412yes—
621C23C22×#4111yescharacteristic
622C23C22×#4111yescharacteristic
623C23C22×#4112yes—
624C23C2×H(5,𝔽2)11yescharacteristic
625C23C2×2−1+412yes—
626C23C2×2−1+411yescharacteristic
627C23#58511yescharacteristic
628C23#58512yes—
629C23#58511yescharacteristic
630Q8—232no—
631Q8—88no—
632D4—264no—
633D4—232no—
634C2×C4—264no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—28no—
643C2×C4—232no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—28no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—28no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—832no—
719C2×C4—816no—
720C2×C4C2×#12014yes—
721C2×C4C2×#12314yes—
722C2×C4C2×#12318yes—
723C2×C4C2×#12314yes—
724C2×C4C2×#12314yes—
725C2×C4#52518yes—
726C2×C4#52518yes—
727C22—28no—
728C22—24no—
729C22—24no—
730C22—28no—
731C22—24no—
732C22—28no—
733C22—48no—
734C22—44no—
735C22—48no—
736C22—44no—
737C22—44no—
738C22—48no—
739C22—44no—
740C22—44no—
741C22—42no—
742C22—44no—
743C22—42no—
744C22—42no—
745C22—44no—
746C22—48no—
747C22—44no—
748C22—42no—
749C22C22×#12011yescharacteristic
750C22C22×#12311yescharacteristic
751C22C22×#12311yescharacteristic
752C22C2×#52512yes—
753C22C2×#52512yes—
754C22#348512yes—
755C22#348811yescharacteristic
756C22#348912yes—
757C22#348911yescharacteristic
758C22#349512yes—
759C22#349612yes—
760C22#349912yes—
761C22#349911yescharacteristic
762C22#350011yescharacteristic
763C22#350611yescharacteristic
764C22#350711yescharacteristic
765C22#350712yes—
766C22#351111yescharacteristic
767C22#351211yescharacteristic
768C22#351612yes—
769C22#351612yes—
770C22#352212yes—
771C22#352412yes—
772C4—24no—
773C4—28no—
774C4—44no—
775C4—42no—
776C4—42no—
777C4—44no—
778C4—48no—
779C4—44no—
780C4—82no—
781C4—82no—
782C4—81no—
783C4—82no—
784C4—84no—
785C4—81no—
786C4#284918yes—
787C2—48no—
788C2—44no—
789C2#3551711yescharacteristic
790C2#3560612yes—
791C2#3561911yescharacteristic
792C2#3565412yes—
793C2#3575011yescharacteristic
794C2#3577812yes—
795C2#3584612yes—
796C2#3598311yescharacteristic
797C2#3599611yescharacteristic
798C2#3608511yescharacteristic
799C2C2×#284911yescharacteristic
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
3. C2×#2447C2semidirect
4. #15092C2semidirect
5. #15073C2semidirect
6. #14892C2semidirect
7. #14892C2semidirect
8. #14823C2semidirect
9. #14731C2semidirect
10. #14258C2semidirect
11. #14139C2semidirect
12. #14130C2semidirect
13. #14024C2semidirect
14. #14017C2semidirect
16. #13916C2semidirect
17. #13844C2semidirect

Maximal subgroups

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

subgroupindex
C22×#5202
C2×#24322
C2×#24472
#150922
#150732
#148922
#148232
#147312
#142582
#141392
#141302
#140242
#140172
#139372
#139162
#138442