Finite Group Databasebeta

← #642016

Subgroups — #642016

Order 512.

4070 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
1C2×#2848C211yesmaximal, characteristic
2C22×#385C211yesmaximal, characteristic
3#16987C214yesmaximal, complemented
4#16986C212yesmaximal, complemented
5#16606C212yesmaximal, complemented
6#15092C212yesmaximal, complemented
7#15014C211yesmaximal, characteristic, complemented
8#14955C212yesmaximal, complemented
9#14914C211yesmaximal, characteristic, complemented
10#14821C211yesmaximal, characteristic, complemented
11#14766C212yesmaximal, complemented
12#14758C212yesmaximal, complemented
13#14720C211yesmaximal, characteristic, complemented
14#14275C214yesmaximal, complemented
15#13877C212yesmaximal
16#13877C212yesmaximal
17C2×C22⋊#95C211yesmaximal, characteristic
18C25×C4C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2212yes—
27#2848—28no—
28C2×#398C2212yescomplemented
29C2×#395C2212yescomplemented
30C2×#385—28no—
31C2×#385C2212yes—
32C2×#385C2212yes—
33C2×#385C2212yes—
34C2×#385C2212yes—
35C2×#385C2212yes—
36C2×#385C2212yes—
37C2×#385C2212yes—
38C2×#385C2212yes—
39C2×#385C2212yes—
40C2×#385C2212yes—
41C2×#385C2212yes—
42C2×#380C2211yescharacteristic
43C2×#380C2211yescharacteristic
44C2×#380C2211yescharacteristic
45C2×#380C2214yes—
46C2×#380C2214yes—
47C2×#379C2212yes—
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50C22×#95C2212yes—
51C22×#95C2212yes—
52#1446C2212yescomplemented
53#1445C2212yescomplemented
54#1444C2212yescomplemented
55#1444C2212yescomplemented
56#1444C2214yescomplemented
57#1444C2214yescomplemented
58#1444C2214yescomplemented
59#1442C2214yescomplemented
60#1442C2214yescomplemented
61#1442C2214yescomplemented
62#1441C2214yescomplemented
63#1441C2212yescomplemented
64#1441C2212yescomplemented
65#1441C2214yescomplemented
66#1441C2214yescomplemented
67#1441C2214yescomplemented
68#1441C2214yescomplemented
69#1441C2214yescomplemented
70#1439C2214yes—
71#1439C2214yes—
72#1439C2214yes—
73#1439C2214yes—
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2214yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yes—
79C22⋊#95C2212yes—
80C22⋊#95C2211yescharacteristic
81C22⋊#95C2212yes—
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2211yescharacteristic
85C26C2311yescharacteristic
86C23×Q8C2311yescharacteristic
87C24×C4—44no—
88C24×C4—44no—
89C24×C4—44no—
90C24×C4D418yes—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C24×C4C2314yes—
101C24×C4C2311yescharacteristic
102C2×C22⋊Q8—24no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8—24no—
105C2×C22⋊Q8—44no—
106C2×C22⋊Q8—44no—
107C2×C22⋊Q8—44no—
108C22×C4⋊C4—24no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—44no—
111C22×C4⋊C4—44no—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2314yes—
126C22×C22⋊C4—24no—
127C22×C22⋊C4—28no—
128C22×C22⋊C4—24no—
129C22×C22⋊C4—44no—
130C22×C22⋊C4—44no—
131C22×C22⋊C4—44no—
132C22×C22⋊C4Q8116yescomplemented
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2314yes—
146#398—44no—
147#395—44no—
148#385—28no—
149#385—28no—
150#385—28no—
151#385—28no—
152#385—28no—
153#385—28no—
154#385—28no—
155#385—44no—
156#385—44no—
157#385—44no—
158#385—44no—
159#380—24no—
160#380—24no—
161#380—24no—
162#380—216no—
163#380—48no—
164#379—28no—
165C2×#95—24no—
166C2×#95—24no—
167C2×#95—44no—
168C2×#95—44no—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C25—24no—
195C25—22no—
196C25—24no—
197C25—24no—
198C25—22no—
199C25—42no—
200C25—42no—
201C25C2×D414yes—
202C25C2×Q818yes—
203C25C2411yescharacteristic
204C25C2411yescharacteristic
205C25C2411yescharacteristic
206C22×Q8—22no—
207C22×Q8—24no—
208C22×Q8—42no—
209C22×Q8—42no—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—28no—
217C23×C4—28no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—24no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—416no—
232C23×C4—42no—
233C23×C4—416no—
234C23×C4—416no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—44no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4—464no—
256C23×C4C2×D414yes—
257C23×C4C2×D414yes—
258C23×C4C2×D414yes—
259C23×C4C2×D414yes—
260C23×C4C2×D414yes—
261C23×C4C2×D414yes—
262C23×C4C2×Q8116yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2411yescharacteristic
270C23×C4C2411yescharacteristic
271C23×C4C2411yescharacteristic
272C23×C4C2414yes—
273C23×C4C2414yes—
274C23×C4C2412yes—
275C23×C4C2412yes—
276C23×C4C2411yescharacteristic
277C22⋊Q8—416no—
278C22⋊Q8—416no—
279C22⋊Q8—416no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—28no—
294C2×C4⋊C4—28no—
295C2×C4⋊C4—42no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—42no—
301C2×C4⋊C4—42no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—42no—
305C2×C4⋊C4—416no—
306C2×C4⋊C4—416no—
307C2×C4⋊C4—44no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—44no—
317C2×C22⋊C4—232no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—28no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—432no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—416no—
349C2×C22⋊C4C2×Q818yes—
350C2×C22⋊C4C2×Q818yes—
351C2×C22⋊C4C2×Q8116yes—
352C2×C22⋊C4#4118yes—
353#95—24no—
354#95—24no—
355#95—24no—
356#95—24no—
357#95—24no—
358#95—24no—
359#95—24no—
360#95—28no—
361#95—28no—
362#95—24no—
363#95—24no—
364#95—44no—
365#95—42no—
366#95—44no—
367#95—42no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95—44no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—21no—
384C24—21no—
385C24—22no—
386C24—22no—
387C24—28no—
388C24—28no—
389C24—28no—
390C24—28no—
391C24—216no—
392C24—216no—
393C24—232no—
394C24—22no—
395C24—21no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—21no—
400C24—22no—
401C24—44no—
402C24—44no—
403C24—416no—
404C24—416no—
405C24—416no—
406C24—48no—
407C24—48no—
408C24—48no—
409C24—48no—
410C24C4⋊Q8116yes—
411C24C22×D412yes—
412C24C22×D412yes—
413C24C22×D412yes—
414C24C22×Q814yes—
415C24C22×Q814yes—
416C24C22×Q814yes—
417C24C2×#4114yes—
418C24H(5,𝔽2)14yes—
419C24H(5,𝔽2)14yes—
420C24H(5,𝔽2)12yes—
421C242−1+412yes—
422C24C2511yescharacteristic
423C2×Q8—44no—
424C2×Q8—44no—
425C2×Q8—44no—
426C2×Q8—88no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—28no—
430C22×C4—28no—
431C22×C4—28no—
432C22×C4—28no—
433C22×C4—28no—
434C22×C4—28no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—232no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—28no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—416no—
512C22×C4—416no—
513C22×C4—416no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—416no—
517C22×C4—416no—
518C22×C4—416no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—416no—
522C22×C4—416no—
523C22×C4—4128no—
524C22×C4—416no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—88no—
534C22×C4—88no—
535C22×C4—88no—
536C22×C4—88no—
537C22×C4—88no—
538C22×C4—84no—
539C22×C4—84no—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×Q818yes—
545C22×C4C22×Q818yes—
546C22×C4C2×#4114yes—
547C22×C4C2×#4114yes—
548C22×C4H(5,𝔽2)14yes—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—44no—
559C4⋊C4—88no—
560C4⋊C4—88no—
561C4⋊C4—88no—
562C4⋊C4—88no—
563C22⋊C4—216no—
564C22⋊C4—216no—
565C22⋊C4—216no—
566C22⋊C4—216no—
567C22⋊C4—416no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—24no—
585C23—24no—
586C23—28no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—28no—
596C23—28no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—232no—
602C23—232no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—24no—
610C23—24no—
611C23—28no—
612C23—28no—
613C23—416no—
614C23—416no—
615C23—416no—
616C23—416no—
617C23—464no—
618C23—464no—
619C23—416no—
620C23—44no—
621C23—42no—
622C23—42no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23#52514yes—
627C23C2×C4⋊Q814yes—
628C23C2×C4⋊Q814yes—
629C23C2×C4⋊Q814yes—
630C23#53414yes—
631C23#53414yes—
632C23#53714yes—
633C23#54318yes—
634C23#54418yes—
635C23#554116yes—
636C23C23×D411yescharacteristic
637C23C23×Q812yes—
638C23C22×#4112yes—
639C23C2×H(5,𝔽2)12yes—
640C23C2×H(5,𝔽2)12yes—
641C23C2×H(5,𝔽2)12yes—
642C23C2×H(5,𝔽2)11yescharacteristic
643C23C2×2−1+411yescharacteristic
644C23#58512yes—
645Q8—88no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—28no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—28no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—416no—
670C2×C4—416no—
671C2×C4—416no—
672C2×C4—416no—
673C2×C4—416no—
674C2×C4—416no—
675C2×C4—416no—
676C2×C4—416no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
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×C4—44no—
724C2×C4—44no—
725C2×C4—832no—
726C2×C4—88no—
727C2×C4—88no—
728C2×C4#53414yes—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—216no—
740C22—216no—
741C22—216no—
742C22—216no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—24no—
748C22—464no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—48no—
753C22—48no—
754C22—42no—
755C22#258318yes—
756C22#265918yes—
757C22C2×#52511yescharacteristic
758C22C22×C4⋊Q811yescharacteristic
759C22C2×#53411yescharacteristic
760C22C2×#53411yescharacteristic
761C22C2×#53411yescharacteristic
762C22C2×#53711yescharacteristic
763C22#344911yescharacteristic
764C22C2×#54312yes—
765C22C2×#54412yes—
766C22C2×#55414yes—
767C22#350114yes—
768C22#351314yes—
769C22#351912yes—
770C22#352012yes—
771C22#353214yes—
772C22#353412yes—
773C22#353512yes—
774C4—24no—
775C4—44no—
776C4—42no—
777C4—42no—
778C4—42no—
779C4—48no—
780C4—48no—
781C4—44no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C2—28no—
789C2—28no—
790C2—44no—
791C2C2×#265911yescharacteristic
792C2C2×#258311yescharacteristic
793C2#3501111yescharacteristic
794C2#3506311yescharacteristic
795C2#3507711yescharacteristic
796C2#3743611yescharacteristic
797C2#3745211yescharacteristic
798C2#3809614yes—
799C2#3809714yes—
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
3. #16987C2semidirect
4. #16986C2semidirect
5. #16606C2semidirect
6. #15092C2semidirect
7. #15014C2semidirect
8. #14955C2semidirect
9. #14914C2semidirect
10. #14821C2semidirect
11. #14766C2semidirect
12. #14758C2semidirect
13. #14720C2semidirect
14. #14275C2semidirect
28. C2×#398C22semidirect
29. C2×#395C22semidirect
52. #1446C22semidirect
53. #1445C22semidirect
54. #1444C22semidirect
55. #1444C22semidirect
56. #1444C22semidirect
57. #1444C22semidirect
58. #1444C22semidirect
59. #1442C22semidirect
60. #1442C22semidirect
61. #1442C22semidirect
62. #1441C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
65. #1441C22semidirect
66. #1441C22semidirect
67. #1441C22semidirect
68. #1441C22semidirect
69. #1441C22semidirect
132. C22×C22⋊C4Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#28482
C22×#3852
#169872
#169862
#166062
#150922
#150142
#149552
#149142
#148212
#147662
#147582
#147202
#142752
#138772
C2×C22⋊#952