Finite Group Databasebeta

← #560034

Subgroups — #560034

Order 512.

3784 conjugacy classes of subgroups.

The subgroup lattice has 809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#120C211yesmaximal, characteristic
2#14680C212yesmaximal, complemented
3#14666C212yesmaximal, complemented
4#14457C214yesmaximal, complemented
5#14428C214yesmaximal, complemented
6#14365C212yesmaximal, complemented
7#14358C212yesmaximal
8#13906C212yesmaximal, complemented
9#13905C211yesmaximal, characteristic, complemented
10#13876C212yesmaximal, complemented
11#13876C212yesmaximal, complemented
12#13875C212yesmaximal, complemented
13#13871C211yesmaximal, characteristic, complemented
14#13871C212yesmaximal, complemented
15#13831C212yesmaximal, complemented
16C25×C4C2211yescharacteristic
17C22×#120C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C22×C4×D4C2212yes—
20C22×#117C2211yescharacteristic, complemented
21C4×#120C4116yescomplemented
22C2×#390C2214yes—
23C2×#388C2214yes—
24C2×#388C2214yes—
25C2×#386C2211yescharacteristic
26C2×#386C2212yes—
27C2×#385C2211yescharacteristic
28C2×#385C2212yes—
29C2×#384C2212yescomplemented
30C2×#382C2211yescharacteristic, complemented
31C2×#380C2212yes—
32C2×#380C2212yes—
33C2×#380C2212yes—
34C2×#380C2212yes—
35C2×#380C2212yes—
36C2×#380C2212yes—
37C2×#380C2212yescomplemented
38C2×#380C2211yescharacteristic, complemented
39C2×#379C2214yes—
40C2×#379C2211yescharacteristic
41C2×C4×C4⋊C4C2212yescomplemented
42C2×C4×C4⋊C4C2211yescharacteristic, complemented
43C2×C4×C22⋊C4C2212yes—
44C2×C4×C22⋊C4C2211yescharacteristic
45#1445C2212yescomplemented
46#1443C2214yescomplemented
47#1442C2214yescomplemented
48#1442C2214yescomplemented
49#1440C2214yes—
50#1440C2214yescomplemented
51#1440C2212yescomplemented
52#1439C2214yes—
53#1439C2214yes—
54#1439C2214yes—
55#1439C2214yescomplemented
56#1438C2212yes—
57#1438C2214yes—
58#1438C2212yes—
59#1437C2212yes—
60#1437C2212yes—
61#1437C2214yes—
62#1437C2214yes—
63#1437C2212yescomplemented
64#1436C2214yescomplemented
65#1436C2214yescomplemented
66#1436C2212yescomplemented
67#1436C2214yescomplemented
68C4⋊#95C2214yescomplemented
69C4⋊#95C2212yescomplemented
70C4⋊#95C2212yescomplemented
71C4⋊#95C2212yescomplemented
72#1434C2214yescomplemented
73C22⋊#95C2214yes—
74C22⋊#95C2214yes—
75C22⋊#95C2214yes—
76C26C2311yescharacteristic
77C23×D4C2312yes—
78C23×D4C2311yescharacteristic
79C24×C4—42no—
80C24×C4—44no—
81C24×C4—42no—
82C24×C4—44no—
83C24×C4C2×C418yes—
84C24×C4C2311yescharacteristic
85C24×C4C2312yes—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C2×#120—28no—
90C2×#120C2×C418yes—
91C2×C4×D4—42no—
92C2×C4×D4—44no—
93C2×C4×D4—42no—
94C2×C4×D4—44no—
95C2×C4×D4C2×C4116yes—
96C2×C4×D4C2×C418yes—
97C2×#117—42no—
98C2×#117—44no—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2314yes—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C22⋊C4C2312yes—
108C22×C22⋊C4C2312yes—
109C22×C22⋊C4C2314yes—
110C22×C22⋊C4C2314yes—
111C22×C22⋊C4C2314yes—
112C22×C22⋊C4C2314yes—
113C22×C22⋊C4C2314yes—
114C22×C22⋊C4C2314yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2311yescharacteristic
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2311yescharacteristic
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2311yescharacteristic
123C22×C22⋊C4C2311yescharacteristic
124C22×C42C2311yescharacteristic
125C22×C42C2312yes—
126C22×C42C2314yes—
127C22×C42C2312yes—
128C22×C42C2312yes—
129#390—48no—
130#388—216no—
131#388—48no—
132#386C2×C4116yes—
133#386C2×C418yes—
134#385C2×C4116yes—
135#385C2×C418yes—
136#384—44no—
137#382—42no—
138#380—44no—
139#380—44no—
140#380—44no—
141#380—44no—
142#380—44no—
143#380—44no—
144#380—44no—
145#380—42no—
146#379—48no—
147#379C2×C418yes—
148C4×C4⋊C4—44no—
149C4×C4⋊C4—42no—
150C4×C22⋊C4C2×C4116yes—
151C4×C22⋊C4C2×C418yes—
152C2×#95C2314yes—
153C2×#95C2314yes—
154C2×#95C2314yes—
155C2×#95C2314yes—
156C2×#95C2314yes—
157C2×#95C2314yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2312yes—
161C2×#95C2314yes—
162C2×#95C2312yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2314yes—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C25—24no—
174C25—24no—
175C25—24no—
176C25—42no—
177C25—42no—
178C25—41no—
179C25—41no—
180C25—42no—
181C25C22×C414yes—
182C25C2411yescharacteristic
183C25C2411yescharacteristic
184C25C2412yes—
185C22×D4—24no—
186C22×D4—24no—
187C22×D4—24no—
188C22×D4—24no—
189C22×D4—24no—
190C22×D4—42no—
191C22×D4—42no—
192C22×D4—41no—
193C22×D4—41no—
194C22×D4—42no—
195C22×D4C22×C418yes—
196C22×D4C22×C414yes—
197C23×C4—22no—
198C23×C4—24no—
199C23×C4—22no—
200C23×C4—24no—
201C23×C4—22no—
202C23×C4—24no—
203C23×C4—22no—
204C23×C4—24no—
205C23×C4—24no—
206C23×C4—24no—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—416no—
212C23×C4—432no—
213C23×C4—41no—
214C23×C4—42no—
215C23×C4—41no—
216C23×C4—42no—
217C23×C4—42no—
218C23×C4—42no—
219C23×C4—42no—
220C23×C4—42no—
221C23×C4—42no—
222C23×C4—42no—
223C23×C4—432no—
224C23×C4—416no—
225C23×C4—416no—
226C23×C4C22×C414yes—
227C23×C4C22×C414yes—
228C23×C4C22×C418yes—
229C23×C4C22×C414yes—
230C23×C4C22×C418yes—
231C23×C4C2414yes—
232C23×C4C2414yes—
233C23×C4C2414yes—
234C23×C4C2414yes—
235C23×C4C2412yes—
236C23×C4C2411yescharacteristic
237C23×C4C2411yescharacteristic
238C23×C4C2411yescharacteristic
239C23×C4C2411yescharacteristic
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2411yescharacteristic
243#120—232no—
244C4×D4—432no—
245C4×D4—416no—
246#117—416no—
247C2×C4⋊C4—24no—
248C2×C4⋊C4—24no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—28no—
260C2×C4⋊C4—42no—
261C2×C4⋊C4—42no—
262C2×C4⋊C4—41no—
263C2×C4⋊C4—41no—
264C2×C4⋊C4—44no—
265C2×C4⋊C4—44no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—44no—
268C2×C4⋊C4—44no—
269C2×C4⋊C4C22×C414yes—
270C2×C4⋊C4C22×C418yes—
271C2×C22⋊C4—24no—
272C2×C22⋊C4—24no—
273C2×C22⋊C4—24no—
274C2×C22⋊C4—24no—
275C2×C22⋊C4—28no—
276C2×C22⋊C4—28no—
277C2×C22⋊C4—28no—
278C2×C22⋊C4—28no—
279C2×C22⋊C4—28no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—42no—
282C2×C22⋊C4—42no—
283C2×C22⋊C4—44no—
284C2×C22⋊C4—42no—
285C2×C22⋊C4—41no—
286C2×C22⋊C4—41no—
287C2×C22⋊C4—42no—
288C2×C22⋊C4—41no—
289C2×C22⋊C4—41no—
290C2×C22⋊C4—42no—
291C2×C22⋊C4—42no—
292C2×C22⋊C4—44no—
293C2×C22⋊C4—44no—
294C2×C22⋊C4—44no—
295C2×C22⋊C4—44no—
296C2×C22⋊C4—44no—
297C2×C22⋊C4—44no—
298C2×C22⋊C4—44no—
299C2×C22⋊C4—44no—
300C2×C22⋊C4—44no—
301C2×C22⋊C4—44no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4C22×C418yes—
310C2×C22⋊C4C22×C418yes—
311C2×C22⋊C4C22×C414yes—
312C2×C22⋊C4C22×C418yes—
313C2×C22⋊C4C22×C414yes—
314C2×C22⋊C4C22×C418yes—
315C2×C22⋊C4C22×C414yes—
316C2×C22⋊C4C22×C414yes—
317C2×C22⋊C4#4118yes—
318C2×C42—24no—
319C2×C42—22no—
320C2×C42—22no—
321C2×C42—24no—
322C2×C42—28no—
323C2×C42—42no—
324C2×C42—44no—
325C2×C42—44no—
326C2×C42—42no—
327C2×C42—44no—
328C2×C42—44no—
329C2×C42C22×C414yes—
330C2×C42C22×C418yes—
331#95—28no—
332#95—28no—
333#95—44no—
334#95—44no—
335#95—44no—
336#95—42no—
337#95—42no—
338#95—44no—
339#95—44no—
340#95—44no—
341#95—44no—
342#95—44no—
343#95—44no—
344#95—44no—
345#95—42no—
346#95—42no—
347#95—44no—
348#95—44no—
349#95C22×C418yes—
350#95C22×C418yes—
351#95C22×C418yes—
352C24—22no—
353C24—22no—
354C24—22no—
355C24—22no—
356C24—22no—
357C24—22no—
358C24—22no—
359C24—22no—
360C24—22no—
361C24—22no—
362C24—21no—
363C24—21no—
364C24—22no—
365C24—22no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—28no—
372C24—216no—
373C24—22no—
374C24—22no—
375C24—21no—
376C24—21no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—44no—
382C24—48no—
383C24—44no—
384C24—48no—
385C24—48no—
386C24—48no—
387C24—48no—
388C24—48no—
389C24—44no—
390C24—44no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—44no—
399C24—44no—
400C24C23×C412yes—
401C24C23×C412yes—
402C24C23×C414yes—
403C24C2×#4114yes—
404C24H(5,𝔽2)14yes—
405C242−1+414yes—
406C24C2511yescharacteristic
407C2×D4—28no—
408C2×D4—216no—
409C2×D4—216no—
410C2×D4—48no—
411C2×D4—44no—
412C2×D4—44no—
413C2×D4—48no—
414C2×D4—48no—
415C2×D4—48no—
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—48no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—21no—
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—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—28no—
452C22×C4—216no—
453C22×C4—28no—
454C22×C4—216no—
455C22×C4—216no—
456C22×C4—216no—
457C22×C4—216no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—48no—
489C22×C4—44no—
490C22×C4—48no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—48no—
498C22×C4—4128no—
499C22×C4—48no—
500C22×C4—44no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—48no—
508C22×C4—44no—
509C22×C4C23×C412yes—
510C22×C4C23×C414yes—
511C22×C4C23×C412yes—
512C22×C4C23×C412yes—
513C22×C4C23×C414yes—
514C22×C4C23×C412yes—
515C22×C4C23×C414yes—
516C22×C4C23×C412yes—
517C22×C4C2×#4114yes—
518C22×C4C2×#4114yes—
519C22×C4H(5,𝔽2)12yes—
520C22×C4H(5,𝔽2)14yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4H(5,𝔽2)14yes—
523C4⋊C4—48no—
524C4⋊C4—44no—
525C4⋊C4—48no—
526C4⋊C4—48no—
527C4⋊C4—48no—
528C4⋊C4—48no—
529C4⋊C4—88no—
530C4⋊C4—88no—
531C22⋊C4—216no—
532C22⋊C4—216no—
533C22⋊C4—44no—
534C22⋊C4—44no—
535C22⋊C4—48no—
536C22⋊C4—44no—
537C22⋊C4—48no—
538C22⋊C4—48no—
539C22⋊C4—88no—
540C22⋊C4—88no—
541C22⋊C4—88no—
542C22⋊C4—88no—
543C22⋊C4—88no—
544C22⋊C4—88no—
545C22⋊C4—84no—
546C22⋊C4—88no—
547C22⋊C4#117116yescomplemented
548C42—216no—
549C42—28no—
550C42—48no—
551C42—88no—
552C42—84no—
553C23—24no—
554C23—22no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—22no—
586C23—416no—
587C23—432no—
588C23—432no—
589C23—416no—
590C23—416no—
591C23—432no—
592C23—432no—
593C23—432no—
594C23—432no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—41no—
612C23—41no—
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—41no—
629C23—41no—
630C23—42no—
631C23—41no—
632C23—41no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23C2×#11714yes—
638C23#52018yes—
639C23C24×C411yescharacteristic
640C23C22×#4112yes—
641C23C2×H(5,𝔽2)11yescharacteristic
642C23C2×H(5,𝔽2)11yescharacteristic
643C23C2×H(5,𝔽2)12yes—
644C23C2×H(5,𝔽2)12yes—
645C23C2×H(5,𝔽2)12yes—
646C23C2×2−1+412yes—
647C23#58512yes—
648D4—432no—
649D4—416no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—432no—
672C2×C4—416no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—416no—
693C2×C4—416no—
694C2×C4—432no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4C2×#11718yes—
724C2×C4#51814yes—
725C2×C4#51818yes—
726C2×C4#56018yes—
727C2×C4#56014yes—
728C2×C4H(3,𝔽4)14yes—
729C22—28no—
730C22—28no—
731C22—24no—
732C22—28no—
733C22—28no—
734C22—464no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—44no—
742C22—42no—
743C22—42no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—42no—
755C22—42no—
756C22—44no—
757C22—42no—
758C22—44no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22C22×#11711yescharacteristic
764C22C2×#51811yescharacteristic
765C22C2×#51812yes—
766C22C2×#52012yes—
767C22#342811yescharacteristic
768C22#350612yes—
769C22#350612yes—
770C22#351912yes—
771C22#351912yes—
772C22#352012yes—
773C22#352012yes—
774C22C2×#56012yes—
775C22C2×#56011yescharacteristic
776C22C2×H(3,𝔽4)11yescharacteristic
777C22#353612yes—
778C22#353711yescharacteristic
779C22#353811yescharacteristic
780C22#354112yes—
781C22#354112yes—
782C22#354212yes—
783C22#354212yes—
784C4—28no—
785C4—42no—
786C4—42no—
787C4—44no—
788C4—42no—
789C4—44no—
790C4—42no—
791C4—84no—
792C4—84no—
793C4—84no—
794C4—84no—
795C4#237518yes—
796C2—48no—
797C2—44no—
798C2—82no—
799C2#3418611yescharacteristic
800C2#3419412yes—
801C2C2×#237511yescharacteristic
802C2#3436011yescharacteristic
803C2#3436212yes—
804C2#4560012yes—
805C2#4560112yes—
806C2#4562412yes—
807C2#4564612yes—
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
2. #14680C2semidirect
3. #14666C2semidirect
4. #14457C2semidirect
5. #14428C2semidirect
6. #14365C2semidirect
8. #13906C2semidirect
9. #13905C2semidirect
10. #13876C2semidirect
11. #13876C2semidirect
12. #13875C2semidirect
13. #13871C2semidirect
14. #13871C2semidirect
15. #13831C2semidirect
20. C22×#117C22semidirect
21. C4×#120C4semidirect
29. C2×#384C22semidirect
30. C2×#382C22semidirect
37. C2×#380C22semidirect
38. C2×#380C22semidirect
41. C2×C4×C4⋊C4C22semidirect
42. C2×C4×C4⋊C4C22semidirect
45. #1445C22semidirect
46. #1443C22semidirect
47. #1442C22semidirect
48. #1442C22semidirect
50. #1440C22semidirect
51. #1440C22semidirect
55. #1439C22semidirect
63. #1437C22semidirect
64. #1436C22semidirect
65. #1436C22semidirect
66. #1436C22semidirect
67. #1436C22semidirect
68. C4⋊#95C22semidirect
69. C4⋊#95C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
72. #1434C22semidirect
547. C22⋊C4#117semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#1202
#146802
#146662
#144572
#144282
#143652
#143582
#139062
#139052
#138762
#138752
#138712
#138312