Finite Group Databasebeta

← #531734

Subgroups — #531734

Order 512.

4576 conjugacy classes of subgroups.

The subgroup lattice has 828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2354C212yesmaximal, complemented
2C2×C4×#120C211yesmaximal, characteristic
3C2×#2280C212yesmaximal, complemented
4#14365C212yesmaximal, complemented
5#14358C212yesmaximal
6#14145C212yesmaximal, complemented
7#14007C214yesmaximal, complemented
8#13983C214yesmaximal, complemented
9#13905C211yesmaximal, characteristic, complemented
10#13879C212yesmaximal, complemented
11#13876C212yesmaximal, complemented
12#13871C212yesmaximal, complemented
13#13871C211yesmaximal, characteristic, complemented
14#13823C212yesmaximal, complemented
15#13801C212yesmaximal, complemented
16C25×C4C2211yescharacteristic
17C22×#120C2211yescharacteristic
18C22×C4×D4C2212yes—
19C22×C4×D4C2211yescharacteristic
20C22×#117C2212yes—
21C22×#117C2212yes—
22C22×#117C2211yescharacteristic, complemented
23#2354—216no—
24C4×#120C4116yescomplemented
25C2×#390C2214yes—
26C2×#388C2214yes—
27C2×#388C2214yes—
28C2×#388C2214yescomplemented
29C2×#386C2211yescharacteristic
30C2×#386C2212yes—
31C2×#385C2212yes—
32C2×#385C2211yescharacteristic
33C2×#384C2212yescomplemented
34C2×#382C2211yescharacteristic, complemented
35#2280—216no—
36C2×#381C2214yes—
37C2×#380C2212yes—
38C2×#380C2212yes—
39C2×#380C2212yes—
40C2×#380C2212yes—
41C2×#380C2212yescomplemented
42C2×#380C2211yescharacteristic, complemented
43C2×#379C2214yes—
44C2×#379C2211yescharacteristic
45C2×C4×C4⋊C4C2212yescomplemented
46C2×C4×C4⋊C4C2214yescomplemented
47C2×C4×C4⋊C4C2211yescharacteristic, complemented
48C2×C4×C22⋊C4C2214yes—
49C2×C4×C22⋊C4C2214yes—
50C2×C4×C22⋊C4C2211yescharacteristic
51C2×C4×C22⋊C4C2212yes—
52#1445C2212yescomplemented
53#1442C2214yescomplemented
54#1440C2214yes—
55#1440C2212yescomplemented
56#1439C2214yes—
57#1439C2214yes—
58#1439C2214yes—
59#1438C2212yes—
60#1438C2214yes—
61#1438C2212yes—
62#1437C2214yes—
63#1437C2212yes—
64#1437C2212yes—
65#1437C2214yes—
66#1437C2214yescomplemented
67#1437C2212yescomplemented
68#1436C2212yescomplemented
69#1436C2214yescomplemented
70#1436C2214yescomplemented
71#1436C2214yescomplemented
72#1436C2214yescomplemented
73C4⋊#95C2212yescomplemented
74C4⋊#95C2212yescomplemented
75C4⋊#95C2212yescomplemented
76#1434C2214yescomplemented
77C4×#95C2214yescomplemented
78C26C2311yescharacteristic
79C23×D4C2312yes—
80C23×D4C2311yescharacteristic
81C24×C4—28no—
82C24×C4—28no—
83C24×C4—42no—
84C24×C4—42no—
85C24×C4C2×C418yes—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2312yes—
91C2×#120—28no—
92C2×#120C2×C418yes—
93C2×C4×D4—28no—
94C2×C4×D4—28no—
95C2×C4×D4—42no—
96C2×C4×D4—42no—
97C2×C4×D4C2×C4116yes—
98C2×C4×D4C2×C418yes—
99C2×#117—28no—
100C2×#117—28no—
101C2×#117—28no—
102C2×#117—28no—
103C2×#117—28no—
104C2×#117—44no—
105C2×#117—44no—
106C2×#117—42no—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2311yescharacteristic
132C22×C42C2314yes—
133C22×C42C2314yes—
134C22×C42C2312yes—
135C22×C42C2314yes—
136C22×C42C2311yescharacteristic
137C22×C42C2312yes—
138C22×C42C2312yes—
139#390—216no—
140#388—216no—
141#388—216no—
142#388—216no—
143#386C2×C418yes—
144#386C2×C4116yes—
145#385C2×C4116yes—
146#385C2×C418yes—
147#384—28no—
148#382—42no—
149#381—216no—
150#380—28no—
151#380—28no—
152#380—28no—
153#380—28no—
154#380—42no—
155#380D4116yescomplemented
156#379—216no—
157#379C2×C418yes—
158C4×C4⋊C4—28no—
159C4×C4⋊C4—216no—
160C4×C4⋊C4—42no—
161C4×C22⋊C4—216no—
162C4×C22⋊C4—216no—
163C4×C22⋊C4C2×C4116yes—
164C4×C22⋊C4C2×C418yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C25—24no—
185C25—24no—
186C25—24no—
187C25—41no—
188C25—41no—
189C25—42no—
190C25—42no—
191C25—42no—
192C25C22×C414yes—
193C25C2411yescharacteristic
194C25C2412yes—
195C25C2411yescharacteristic
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—41no—
202C22×D4—41no—
203C22×D4—42no—
204C22×D4—42no—
205C22×D4—42no—
206C22×D4C22×C418yes—
207C22×D4C22×C414yes—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—264no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—416no—
228C23×C4—41no—
229C23×C4—41no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—416no—
233C23×C4—432no—
234C23×C4—416no—
235C23×C4C22×C414yes—
236C23×C4C22×C414yes—
237C23×C4C22×C418yes—
238C23×C4C22×C414yes—
239C23×C4C22×C418yes—
240C23×C4C2×D418yes—
241C23×C4#4118yes—
242C23×C4C2414yes—
243C23×C4C2414yes—
244C23×C4C2412yes—
245C23×C4C2411yescharacteristic
246C23×C4C2411yescharacteristic
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2414yes—
250C23×C4C2414yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2411yescharacteristic
254#120—232no—
255C4×D4—264no—
256C4×D4—416no—
257#117—416no—
258#117—432no—
259#117—432no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
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—28no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—41no—
277C2×C4⋊C4—41no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4C22×C418yes—
281C2×C4⋊C4C22×C414yes—
282C2×C4⋊C4C2×D418yes—
283C2×C4⋊C4C2×D418yes—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—42no—
303C2×C22⋊C4—42no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—41no—
314C2×C22⋊C4—41no—
315C2×C22⋊C4—41no—
316C2×C22⋊C4—41no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4C22×C418yes—
322C2×C22⋊C4C22×C418yes—
323C2×C22⋊C4C22×C418yes—
324C2×C22⋊C4C22×C414yes—
325C2×C22⋊C4C22×C414yes—
326C2×C22⋊C4C22×C414yes—
327C2×C22⋊C4C22×C418yes—
328C2×C22⋊C4C22×C414yes—
329C2×C22⋊C4C2×D4116yes—
330C2×C22⋊C4#4118yes—
331C2×C42—24no—
332C2×C42—24no—
333C2×C42—22no—
334C2×C42—22no—
335C2×C42—28no—
336C2×C42—28no—
337C2×C42—28no—
338C2×C42—28no—
339C2×C42—28no—
340C2×C42—28no—
341C2×C42—28no—
342C2×C42—44no—
343C2×C42—44no—
344C2×C42—42no—
345C2×C42—44no—
346C2×C42—42no—
347C2×C42—44no—
348C2×C42C22×C418yes—
349C2×C42C22×C414yes—
350#95—28no—
351#95—28no—
352#95—28no—
353#95—28no—
354#95—28no—
355#95—28no—
356#95—28no—
357#95—44no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—42no—
362#95—42no—
363#95—42no—
364#95—42no—
365#95C22×C418yes—
366#95C22×C418yes—
367#95C22×C418yes—
368#95C2×D4116yes—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—21no—
378C24—21no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—28no—
389C24—216no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—21no—
394C24—21no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—44no—
399C24—48no—
400C24—44no—
401C24—44no—
402C24—48no—
403C24—44no—
404C24—48no—
405C24—48no—
406C24—48no—
407C24—48no—
408C24—48no—
409C24—48no—
410C24—48no—
411C24—48no—
412C24—48no—
413C24—48no—
414C24—48no—
415C24—44no—
416C24—44no—
417C24C23×C412yes—
418C24C23×C412yes—
419C24C23×C414yes—
420C24C22×D414yes—
421C24C2×#4114yes—
422C24C2×#4114yes—
423C24C2511yescharacteristic
424C2×D4—28no—
425C2×D4—216no—
426C2×D4—216no—
427C2×D4—44no—
428C2×D4—48no—
429C2×D4—44no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—216no—
445C22×C4—216no—
446C22×C4—216no—
447C22×C4—216no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—21no—
468C22×C4—24no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—216no—
486C22×C4—216no—
487C22×C4—216no—
488C22×C4—216no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
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—44no—
506C22×C4—48no—
507C22×C4—44no—
508C22×C4—48no—
509C22×C4—44no—
510C22×C4—4128no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4C4×D4132yes—
522C22×C4C23×C414yes—
523C22×C4C23×C412yes—
524C22×C4C23×C412yes—
525C22×C4C23×C412yes—
526C22×C4C23×C412yes—
527C22×C4C23×C414yes—
528C22×C4C23×C414yes—
529C22×C4C23×C412yes—
530C22×C4C22×D418yes—
531C22×C4C22×D418yes—
532C22×C4C22×D414yes—
533C22×C4C22×D414yes—
534C22×C4C2×#4114yes—
535C22×C4C2×#4114yes—
536C22×C4C2×#4114yes—
537C22×C4C2×#4114yes—
538C22×C4H(5,𝔽2)12yes—
539C22×C4H(5,𝔽2)12yes—
540C4⋊C4—216no—
541C4⋊C4—216no—
542C4⋊C4—216no—
543C4⋊C4—44no—
544C4⋊C4—416no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—88no—
548C22⋊C4—216no—
549C22⋊C4—216no—
550C22⋊C4—216no—
551C22⋊C4—48no—
552C22⋊C4—44no—
553C22⋊C4—44no—
554C22⋊C4—44no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C22⋊C4—416no—
562C22⋊C4—88no—
563C22⋊C4—84no—
564C22⋊C4#117116yescomplemented
565C42—216no—
566C42—28no—
567C42—416no—
568C42—416no—
569C42—416no—
570C42—48no—
571C42—84no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—22no—
601C23—24no—
602C23—22no—
603C23—24no—
604C23—22no—
605C23—416no—
606C23—432no—
607C23—416no—
608C23—432no—
609C23—416no—
610C23—432no—
611C23—432no—
612C23—432no—
613C23—432no—
614C23—41no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—41no—
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—41no—
638C23—42no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—41no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—41no—
655C23—41no—
656C23C2×#11714yes—
657C23C2×C4×D418yes—
658C23C24×C411yescharacteristic
659C23C23×D412yes—
660C23C22×#4112yes—
661C23C22×#4112yes—
662C23C2×H(5,𝔽2)11yescharacteristic
663C23C2×H(5,𝔽2)11yescharacteristic
664C23#58512yes—
665C23#58512yes—
666C23#58512yes—
667D4—432no—
668D4—416no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—264no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—22no—
694C2×C4—28no—
695C2×C4—28no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—28no—
699C2×C4—28no—
700C2×C4—416no—
701C2×C4—432no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—41no—
723C2×C4—44no—
724C2×C4—41no—
725C2×C4—416no—
726C2×C4—416no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4C2×#11718yes—
742C2×C4C2×C4×D418yes—
743C2×C4C2×C4×D418yes—
744C2×C4#51814yes—
745C2×C4D4214yes—
746C2×C4#54618yes—
747C2×C4#55114yes—
748C22—28no—
749C22—28no—
750C22—28no—
751C22—24no—
752C22—28no—
753C22—464no—
754C22—42no—
755C22—44no—
756C22—44no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—42no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—44no—
767C22—44no—
768C22—44no—
769C22—44no—
770C22—44no—
771C22—44no—
772C22—44no—
773C22—42no—
774C22—44no—
775C22—42no—
776C22—42no—
777C22—44no—
778C22—82no—
779C22—82no—
780C22—82no—
781C22—82no—
782C22C22×#11711yescharacteristic
783C22C22×C4×D412yes—
784C22C2×#51811yescharacteristic
785C22#342812yes—
786C22#342811yescharacteristic
787C22C2×D4211yescharacteristic
788C22C2×#54612yes—
789C22D4×#4112yes—
790C22D4×#4112yes—
791C22C2×#55111yescharacteristic
792C22#347512yes—
793C22#347512yes—
794C22#348512yes—
795C22#348712yes—
796C22#349312yes—
797C22#349312yes—
798C22#350612yes—
799C22#350612yes—
800C22#353912yes—
801C22#354011yescharacteristic
802C22#354011yescharacteristic
803C4—28no—
804C4—28no—
805C4—42no—
806C4—42no—
807C4—42no—
808C4—48no—
809C4—42no—
810C4—48no—
811C4—44no—
812C4—84no—
813C4—84no—
814C4#235818yes—
815C2—48no—
816C2—44no—
817C2—82no—
818C2D4×#11712yes—
819C2C2×#235811yescharacteristic
820C2#3418611yescharacteristic
821C2#3420112yes—
822C2#3436111yescharacteristic
823C2#5899912yes—
824C2#5901712yes—
825C2#5901812yes—
826C2#5920012yes—
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC22×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2354C2semidirect
3. C2×#2280C2semidirect
4. #14365C2semidirect
6. #14145C2semidirect
7. #14007C2semidirect
8. #13983C2semidirect
9. #13905C2semidirect
10. #13879C2semidirect
11. #13876C2semidirect
12. #13871C2semidirect
13. #13871C2semidirect
14. #13823C2semidirect
15. #13801C2semidirect
22. C22×#117C22semidirect
24. C4×#120C4semidirect
28. C2×#388C22semidirect
33. C2×#384C22semidirect
34. C2×#382C22semidirect
41. C2×#380C22semidirect
42. C2×#380C22semidirect
45. C2×C4×C4⋊C4C22semidirect
46. C2×C4×C4⋊C4C22semidirect
47. C2×C4×C4⋊C4C22semidirect
52. #1445C22semidirect
53. #1442C22semidirect
55. #1440C22semidirect
66. #1437C22semidirect
67. #1437C22semidirect
68. #1436C22semidirect
69. #1436C22semidirect
70. #1436C22semidirect
71. #1436C22semidirect
72. #1436C22semidirect
73. C4⋊#95C22semidirect
74. C4⋊#95C22semidirect
75. C4⋊#95C22semidirect
76. #1434C22semidirect
77. C4×#95C22semidirect
155. #380D4semidirect
564. C22⋊C4#117semidirect

Maximal subgroups

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

subgroupindex
C2×#23542
C2×C4×#1202
C2×#22802
#143652
#143582
#141452
#140072
#139832
#139052
#138792
#138762
#138712
#138232
#138012