Finite Group Databasebeta

← #851172

Subgroups — #851172

Order 512.

3882 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2848C212yesmaximal
2C2×#2429C212yesmaximal, complemented
3#16358C212yesmaximal, complemented
4#16298C212yesmaximal
5#15421C214yesmaximal, complemented
6#15359C214yesmaximal, complemented
7#15183C212yesmaximal, complemented
8#15182C212yesmaximal, complemented
9#15178C211yesmaximal, characteristic, complemented
10#15135C211yesmaximal, characteristic, complemented
11#14551C212yesmaximal, complemented
12#14366C212yesmaximal
13#13969C212yesmaximal, complemented
14#13969C212yesmaximal, complemented
15C4×#379C211yesmaximal, characteristic
16C25×C4C2211yescharacteristic
17C22×C4⋊Q8C2211yescharacteristic, complemented
18C22×C22⋊Q8C2212yes—
19C22×C22⋊Q8C2212yes—
20C22×C22⋊Q8C2212yes—
21C22×C4×Q8C2212yescomplemented
22#2848—216no—
23#2429—216no—
24C2×#399C2212yes—
25C2×#398C2214yescomplemented
26C2×#396C2214yes—
27C2×#391C2212yescomplemented
28C2×#391C2212yescomplemented
29C2×#389C2212yescomplemented
30C2×#389C2214yescomplemented
31C2×#388C2214yes—
32C2×#385C2214yes—
33C2×#385C2214yes—
34C2×#385C2214yes—
35C2×#384C2211yescharacteristic, complemented
36C2×#380C2212yes—
37C2×#380C2212yes—
38C2×#380C2212yes—
39C2×#379C2214yes—
40C2×#379C2211yescharacteristic
41C2×#379C2211yescharacteristic
42C2×C4×C22⋊C4C2212yes—
43C2×C4×C22⋊C4C2211yescharacteristic
44C2×C4×C22⋊C4C2212yes—
45C2×C4×C22⋊C4C2211yescharacteristic
46#1445C2212yescomplemented
47#1445C2214yescomplemented
48#1444C2212yescomplemented
49#1444C2212yescomplemented
50#1444C2212yescomplemented
51#1443C2214yescomplemented
52#1441C2214yescomplemented
53#1441C2214yescomplemented
54#1441C2214yescomplemented
55#1441C2214yescomplemented
56#1440C2214yes—
57#1439C2212yes—
58#1439C2214yes—
59#1439C2212yes—
60#1439C2214yes—
61#1439C2212yes—
62#1439C2214yes—
63#1439C2214yes—
64#1439C2214yes—
65#1437C2214yes—
66#1437C2214yes—
67#1436C2214yescomplemented
68#1436C2214yescomplemented
69C4⋊#95C2211yescharacteristic, complemented
70C4⋊#95C2211yescharacteristic, complemented
71C4⋊#95C2212yescomplemented
72C4⋊#95C2212yescomplemented
73C22⋊#95C2212yes—
74C22⋊#95C2211yescharacteristic
75C22⋊#95C2211yescharacteristic
76C22⋊#95C2212yes—
77C26C2311yescharacteristic
78C23×Q8C2312yes—
79C24×C4—28no—
80C24×C4—24no—
81C24×C4—44no—
82C24×C4—42no—
83C24×C4—42no—
84C24×C4C2312yes—
85C24×C4C2311yescharacteristic
86C24×C4C2312yes—
87C24×C4C2311yescharacteristic
88C2×C4⋊Q8—28no—
89C2×C4⋊Q8—42no—
90C2×C22⋊Q8—28no—
91C2×C22⋊Q8—28no—
92C2×C22⋊Q8—28no—
93C2×C22⋊Q8—28no—
94C2×C22⋊Q8—44no—
95C2×C22⋊Q8—44no—
96C2×C22⋊Q8—44no—
97C2×C22⋊Q8—44no—
98C2×C22⋊Q8D4116yes—
99C2×C4×Q8—28no—
100C2×C4×Q8—44no—
101C2×C4×Q8—44no—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2314yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2314yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2314yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2314yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2311yescharacteristic
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2311yescharacteristic
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C42C2312yes—
129C22×C42C2311yescharacteristic
130C22×C42C2311yescharacteristic
131C22×C42C2314yes—
132#399—28no—
133#398—216no—
134#396—216no—
135#391—28no—
136#391—44no—
137#389—216no—
138#389—28no—
139#388—216no—
140#385—216no—
141#385—216no—
142#385—216no—
143#384—42no—
144#380—28no—
145#380—28no—
146#380—28no—
147#379—216no—
148#379—24no—
149#379Q818yescomplemented
150C4×C22⋊C4—28no—
151C4×C22⋊C4—42no—
152C4×C22⋊C4—44no—
153C4×C22⋊C4—42no—
154C2×#95C2314yes—
155C2×#95C2312yes—
156C2×#95C2314yes—
157C2×#95C2312yes—
158C2×#95C2312yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2311yescharacteristic
167C2×#95C2311yescharacteristic
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C25—24no—
178C25—22no—
179C25—22no—
180C25—24no—
181C25—42no—
182C25—41no—
183C25—41no—
184C25—41no—
185C25—42no—
186C25—41no—
187C25C2×Q814yes—
188C25C2412yes—
189C25C2411yescharacteristic
190C22×Q8—24no—
191C22×Q8—24no—
192C22×Q8—24no—
193C22×Q8—24no—
194C22×Q8—24no—
195C22×Q8—24no—
196C22×Q8C2×D418yes—
197C23×C4—24no—
198C23×C4—24no—
199C23×C4—24no—
200C23×C4—24no—
201C23×C4—24no—
202C23×C4—24no—
203C23×C4—24no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—24no—
207C23×C4—24no—
208C23×C4—22no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—42no—
213C23×C4—42no—
214C23×C4—42no—
215C23×C4—42no—
216C23×C4—41no—
217C23×C4—42no—
218C23×C4—41no—
219C23×C4—416no—
220C23×C4—432no—
221C23×C4—432no—
222C23×C4—416no—
223C23×C4—416no—
224C23×C4C2×D418yes—
225C23×C4#4114yes—
226C23×C4C2414yes—
227C23×C4C2414yes—
228C23×C4C2412yes—
229C23×C4C2414yes—
230C23×C4C2414yes—
231C23×C4C2412yes—
232C23×C4C2411yescharacteristic
233C23×C4C2411yescharacteristic
234C23×C4C2412yes—
235C23×C4C2411yescharacteristic
236C23×C4C2411yescharacteristic
237C23×C4C2411yescharacteristic
238C23×C4C2411yescharacteristic
239C4⋊Q8—416no—
240C22⋊Q8—432no—
241C22⋊Q8—432no—
242C22⋊Q8—432no—
243C4×Q8—432no—
244C2×C4⋊C4—24no—
245C2×C4⋊C4—24no—
246C2×C4⋊C4—28no—
247C2×C4⋊C4—24no—
248C2×C4⋊C4—24no—
249C2×C4⋊C4—28no—
250C2×C4⋊C4—28no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—28no—
253C2×C4⋊C4—28no—
254C2×C4⋊C4—28no—
255C2×C4⋊C4—28no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—44no—
263C2×C4⋊C4—44no—
264C2×C4⋊C4—44no—
265C2×C4⋊C4—44no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—44no—
268C2×C4⋊C4—44no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—42no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4C2×D418yes—
276C2×C4⋊C4C2×D4116yes—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—28no—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—28no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—41no—
294C2×C22⋊C4—41no—
295C2×C22⋊C4—42no—
296C2×C22⋊C4—41no—
297C2×C22⋊C4—44no—
298C2×C22⋊C4—44no—
299C2×C22⋊C4—42no—
300C2×C22⋊C4—41no—
301C2×C22⋊C4—44no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—41no—
309C2×C22⋊C4—41no—
310C2×C22⋊C4—41no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—41no—
313C2×C22⋊C4C2×D4116yes—
314C2×C22⋊C4C2×Q818yes—
315C2×C22⋊C4C2×Q814yes—
316C2×C22⋊C4C2×Q814yes—
317C2×C22⋊C4C2×Q818yes—
318C2×C22⋊C4#4114yes—
319C2×C42—24no—
320C2×C42—28no—
321C2×C42—24no—
322C2×C42—24no—
323C2×C42—24no—
324C2×C42—22no—
325C2×C42—22no—
326C2×C42—24no—
327C2×C42—44no—
328C2×C42—44no—
329#95—24no—
330#95—24no—
331#95—28no—
332#95—28no—
333#95—28no—
334#95—28no—
335#95—28no—
336#95—28no—
337#95—24no—
338#95—42no—
339#95—44no—
340#95—44no—
341#95—42no—
342#95—42no—
343#95—44no—
344#95—44no—
345#95—42no—
346#95—42no—
347#95—42no—
348#95—41no—
349#95—41no—
350#95—44no—
351#95—44no—
352C24—22no—
353C24—22no—
354C24—22no—
355C24—22no—
356C24—22no—
357C24—22no—
358C24—21no—
359C24—21no—
360C24—22no—
361C24—22no—
362C24—22no—
363C24—22no—
364C24—22no—
365C24—21no—
366C24—21no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—28no—
373C24—216no—
374C24—48no—
375C24—44no—
376C24—44no—
377C24—44no—
378C24—48no—
379C24—48no—
380C24—48no—
381C24—48no—
382C24—48no—
383C24—44no—
384C24—48no—
385C24—44no—
386C24—44no—
387C24—48no—
388C24—44no—
389C24—44no—
390C24—48no—
391C24—48no—
392C24—44no—
393C24—48no—
394C24—44no—
395C24C22×D414yes—
396C24C22×Q812yes—
397C24C22×Q814yes—
398C24C2×#4112yes—
399C24C2×#4112yes—
400C242−1+414yes—
401C24C2511yescharacteristic
402C2×Q8—216no—
403C2×Q8—216no—
404C2×Q8—216no—
405C2×Q8—48no—
406C2×Q8—48no—
407C2×Q8—48no—
408C2×Q8—48no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—24no—
415C22×C4—24no—
416C22×C4—24no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—24no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—24no—
431C22×C4—24no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—216no—
454C22×C4—28no—
455C22×C4—216no—
456C22×C4—216no—
457C22×C4—216no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—44no—
480C22×C4—48no—
481C22×C4—48no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—44no—
489C22×C4—48no—
490C22×C4—44no—
491C22×C4—4128no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—44no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—44no—
499C22×C4C22×D414yes—
500C22×C4C22×D418yes—
501C22×C4C22×D418yes—
502C22×C4C22×D414yes—
503C22×C4C22×Q812yes—
504C22×C4C22×Q814yes—
505C22×C4C22×Q812yes—
506C22×C4C2×#4112yes—
507C22×C4C2×#4112yes—
508C22×C4C2×#4112yes—
509C22×C4C2×#4112yes—
510C22×C4H(5,𝔽2)12yes—
511C22×C4H(5,𝔽2)14yes—
512C22×C4H(5,𝔽2)12yes—
513C4⋊C4—216no—
514C4⋊C4—416no—
515C4⋊C4—416no—
516C4⋊C4—416no—
517C4⋊C4—416no—
518C4⋊C4—48no—
519C4⋊C4—48no—
520C4⋊C4—416no—
521C4⋊C4—48no—
522C4⋊C4—48no—
523C4⋊C4—84no—
524C4⋊C4—84no—
525C22⋊C4—216no—
526C22⋊C4—416no—
527C22⋊C4—44no—
528C22⋊C4—48no—
529C22⋊C4—44no—
530C22⋊C4—44no—
531C22⋊C4—48no—
532C22⋊C4—416no—
533C22⋊C4—416no—
534C22⋊C4—48no—
535C22⋊C4—416no—
536C22⋊C4—416no—
537C22⋊C4—416no—
538C22⋊C4—44no—
539C42—416no—
540C42—48no—
541C42—44no—
542C42—44no—
543C23—24no—
544C23—24no—
545C23—22no—
546C23—22no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—22no—
561C23—22no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—432no—
574C23—416no—
575C23—432no—
576C23—416no—
577C23—416no—
578C23—416no—
579C23—432no—
580C23—416no—
581C23—416no—
582C23—416no—
583C23—432no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23#53314yes—
611C23D4×Q818yes—
612C23C23×D412yes—
613C23C23×Q811yescharacteristic
614C23C22×#4111yescharacteristic
615C23C22×#4111yescharacteristic
616C23C2×H(5,𝔽2)11yescharacteristic
617C23C2×H(5,𝔽2)12yes—
618C23C2×H(5,𝔽2)11yescharacteristic
619C23C2×2−1+412yes—
620C23#58511yescharacteristic
621C23#58511yescharacteristic
622C23#58512yes—
623Q8—432no—
624C2×C4—28no—
625C2×C4—28no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—28no—
629C2×C4—24no—
630C2×C4—28no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—416no—
647C2×C4—432no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—432no—
680C2×C4—416no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4#53418yes—
703C2×C4#53814yes—
704C2×C4D4214yes—
705C2×C4#54618yes—
706C2×C4#56014yes—
707C22—28no—
708C22—28no—
709C22—28no—
710C22—28no—
711C22—24no—
712C22—464no—
713C22—42no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—42no—
720C22—44no—
721C22—44no—
722C22—42no—
723C22—42no—
724C22—44no—
725C22—42no—
726C22—44no—
727C22—44no—
728C22—42no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22C2×#53311yescharacteristic
735C22C2×#53412yes—
736C22C2×#53811yescharacteristic
737C22#345511yescharacteristic
738C22C2×D4211yescharacteristic
739C22C2×#54612yes—
740C22C2×D4×Q812yes—
741C22D4×#4112yes—
742C22#348712yes—
743C22#348912yes—
744C22#349512yes—
745C22#350112yes—
746C22#350111yescharacteristic
747C22#350111yescharacteristic
748C22#350511yescharacteristic
749C22#350611yescharacteristic
750C22#352012yes—
751C22C2×#56011yescharacteristic
752C22#353811yescharacteristic
753C22#353912yes—
754C22#354011yescharacteristic
755C22#354112yes—
756C22#354112yes—
757C4—42no—
758C4—44no—
759C4—42no—
760C4—48no—
761C4—42no—
762C4—42no—
763C4—44no—
764C4—42no—
765C4—48no—
766C4—84no—
767C4—84no—
768C4—82no—
769C4#266818yes—
770C2—44no—
771C2—48no—
772C2#3501411yescharacteristic
773C2#3613012yes—
774C2#3738111yescharacteristic
775C2#3767112yes—
776C2#3959512yes—
777C2#3988412yes—
778C2#4549311yescharacteristic
779C2#4562211yescharacteristic
780C2C2×#266811yescharacteristic
781C2#5899811yescharacteristic
782C2#5900111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2429C2semidirect
3. #16358C2semidirect
5. #15421C2semidirect
6. #15359C2semidirect
7. #15183C2semidirect
8. #15182C2semidirect
9. #15178C2semidirect
10. #15135C2semidirect
11. #14551C2semidirect
13. #13969C2semidirect
14. #13969C2semidirect
17. C22×C4⋊Q8C22semidirect
21. C22×C4×Q8C22semidirect
25. C2×#398C22semidirect
27. C2×#391C22semidirect
28. C2×#391C22semidirect
29. C2×#389C22semidirect
30. C2×#389C22semidirect
35. C2×#384C22semidirect
46. #1445C22semidirect
47. #1445C22semidirect
48. #1444C22semidirect
49. #1444C22semidirect
50. #1444C22semidirect
51. #1443C22semidirect
52. #1441C22semidirect
53. #1441C22semidirect
54. #1441C22semidirect
55. #1441C22semidirect
67. #1436C22semidirect
68. #1436C22semidirect
69. C4⋊#95C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
72. C4⋊#95C22semidirect
149. #379Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#28482
C2×#24292
#163582
#162982
#154212
#153592
#151832
#151822
#151782
#151352
#145512
#143662
#139692
C4×#3792