Finite Group Databasebeta

← #6477441

Subgroups — #6477441

Order 512.

4248 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#547C211yesmaximal, characteristic
2C2×#3187C211yesmaximal, characteristic, complemented
3C22×#483C211yesmaximal, characteristic, complemented
4#35010C211yesmaximal, characteristic, complemented
5#33007C212yesmaximal, complemented
6#32982C212yesmaximal, complemented
7#29641C212yesmaximal, complemented
8#29596C212yesmaximal, complemented
9#25531C218yesmaximal, complemented
10#24089C214yesmaximal, complemented
11#23961C214yesmaximal, complemented
12#21758C211yesmaximal, characteristic, complemented
13#21738C211yesmaximal, characteristic, complemented
14C2×#1823C211yesmaximal, characteristic, complemented
15C23×#41—21no—
16C2×#547—28no—
17C2×#547—22no—
18C2×#547—22no—
19C2×#547—28no—
20C2×#547C2214yes—
21C2×#547C2214yes—
22C22×C4⋊Q8C2211yescharacteristic
23C22×#123—21no—
24C22×#123—21no—
25C22×C22⋊Q8—21no—
26C22×C22⋊Q8C2211yescharacteristic
27C22×#121C2211yescharacteristic
28C22×#121C2211yescharacteristic
29C22×C4×D4C2211yescharacteristic
30C22×C4×D4C2211yescharacteristic
31C23×C4⋊C4C2211yescharacteristic
32C23×C4⋊C4C2211yescharacteristic
33#3187—28no—
34C2×#481C2212yescomplemented
35C2×#483—28no—
36C2×#483C2212yes—
37C2×#483C2212yes—
38C2×#483C2212yes—
39C2×#483C2214yescomplemented
40C2×#465C2214yescomplemented
41C2×#448C2212yescomplemented
42C2×#450C2212yes—
43C22×#106C2212yescomplemented
44C22×#103C2212yescomplemented
45C22×C22⋊C8C2211yescharacteristic
46C22×C22⋊C8C2211yescharacteristic
47#2855C2212yes—
48#2848C2212yes—
49#2627—21no—
50#2626—21no—
51#2579—22no—
52#2564—22no—
53#2487C2212yescomplemented
54#2417C2214yescomplemented
55#2409C2212yescomplemented
56#2315—21no—
57#2308—21no—
58C2×#380C2211yescharacteristic
59#2058C2218yescomplemented
60#2034C2218yescomplemented
61#2024C2218yescomplemented
62#2000C2218yescomplemented
63#1893C2214yescomplemented
64#1877C2218yescomplemented
65#1874C2214yescomplemented
66#1872C2218yescomplemented
67#1869C2214yescomplemented
68#1869C2214yescomplemented
69#1864C2218yescomplemented
70#1853C2218yescomplemented
71#1823C2212yes—
72#1823C2212yes—
73#1823C2212yes—
74#1823C2214yescomplemented
75#1817C2212yes—
76#1786C2212yes—
77#1779C2212yes—
78C2×#340C2214yescomplemented
79C22×#41—216no—
80C22×#41—24no—
81C22×#41—24no—
82C22×#41—48no—
83C22×#41—48no—
84C23×Q8—21no—
85C23×Q8C2311yescharacteristic
86C23×D4—21no—
87C23×D4—21no—
88C23×D4D411yescharacteristic
89C23×D4C2311yescharacteristic
90C24×C4—21no—
91C24×C4—21no—
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C22×SD16C2314yes—
96C23×C8C2312yes—
97C23×C8C2312yes—
98#547—232no—
99#547—232no—
100#547—216no—
101#547—216no—
102#547—216no—
103#547—216no—
104C2×C4⋊Q8—24no—
105C2×C4⋊Q8—24no—
106C2×C4⋊Q8—22no—
107C2×C4⋊Q8C2314yes—
108C2×#123—216no—
109C2×#123—216no—
110C2×#123—24no—
111C2×#123—24no—
112C2×#123—24no—
113C2×#123—24no—
114C2×C22⋊Q8—216no—
115C2×C22⋊Q8—21no—
116C2×C22⋊Q8—21no—
117C2×C22⋊Q8—24no—
118C2×C22⋊Q8—24no—
119C2×C22⋊Q8—24no—
120C2×C22⋊Q8—24no—
121C2×C22⋊Q8C2312yes—
122C2×C22⋊Q8C2312yes—
123C2×C22⋊Q8C2314yes—
124C2×#121—24no—
125C2×#121—24no—
126C2×#121—22no—
127C2×#121—21no—
128C2×#121—21no—
129C2×#121—24no—
130C2×#121D418yes—
131C2×#121C2314yes—
132C2×#121C2312yes—
133C2×#121C2312yes—
134C2×C4×D4—24no—
135C2×C4×D4—24no—
136C2×C4×D4—24no—
137C2×C4×D4—24no—
138C2×C4×D4—22no—
139C2×C4×D4D412yes—
140C2×C4×D4D412yes—
141C2×C4×D4C2314yes—
142C2×C4×D4C2312yes—
143C2×C4×D4C2312yes—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4—22no—
147C22×C4⋊C4—24no—
148C22×C4⋊C4—21no—
149C22×C4⋊C4—21no—
150C22×C4⋊C4—21no—
151C22×C4⋊C4—24no—
152C22×C4⋊C4—24no—
153C22×C4⋊C4—21no—
154C22×C4⋊C4D411yescharacteristic
155C22×C4⋊C4D418yes—
156C22×C4⋊C4C2311yescharacteristic
157C22×C4⋊C4C2314yes—
158C22×C4⋊C4C2311yescharacteristic
159C22×C4⋊C4C2311yescharacteristic
160C22×C4⋊C4C2311yescharacteristic
161C22×C4⋊C4C2312yes—
162C22×C4⋊C4C2312yes—
163C22×C4⋊C4C2312yes—
164C22×C22⋊C4—21no—
165C22×C22⋊C4—21no—
166C22×C22⋊C4—21no—
167C22×C22⋊C4—21no—
168C22×C22⋊C4—21no—
169C22×C22⋊C4D411yescharacteristic
170C22×C22⋊C4D411yescharacteristic
171C22×C42C2311yescharacteristic
172#483—28no—
173#483—28no—
174#483—216no—
175#483—28no—
176#481—28no—
177#465—216no—
178#450—28no—
179#448—28no—
180C2×#106—28no—
181C2×#106C2314yes—
182C2×#106C2314yes—
183C2×#106C2314yes—
184C2×#103—28no—
185C2×#103C2314yes—
186C2×#103C2314yes—
187C2×#103C2314yes—
188C2×#102C2314yes—
189C2×#102C2318yes—
190C2×C22⋊C8—24no—
191C2×C22⋊C8—24no—
192C2×C22⋊C8C2312yes—
193C2×C22⋊C8C2312yes—
194C2×C22⋊C8C2312yes—
195C2×C22⋊C8C2312yes—
196C2×C22⋊C8C2318yes—
197#400—22no—
198#399—22no—
199#398—24no—
200#396—24no—
201#395—22no—
202#393—22no—
203#391C2314yes—
204#389C2314yes—
205#387—24no—
206#386—24no—
207#386—22no—
208#386—22no—
209#385—24no—
210#385—22no—
211#385—22no—
212#385—22no—
213#385—22no—
214#381—22no—
215#380—21no—
216#380—21no—
217#380—24no—
218#380C2312yes—
219#380C2312yes—
220#380C2314yes—
221#379—22no—
222C2×#95—21no—
223#340C2318yes—
224#340C2318yes—
225#340C2318yes—
226#336C2318yes—
227C25—21no—
228C25C2×D411yescharacteristic
229C25C2×D411yescharacteristic
230C2×#41—232no—
231C2×#41—232no—
232C2×#41—416no—
233C2×#41—416no—
234C2×#41—4128no—
235C2×#41—416no—
236C2×#41—416no—
237C22×Q8—28no—
238C22×Q8—24no—
239C22×Q8—21no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8—44no—
243C22×Q8—44no—
244C22×Q8—44no—
245C22×Q8C2412yes—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—28no—
249C22×D4—28no—
250C22×D4—24no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—21no—
254C22×D4—22no—
255C22×D4—44no—
256C22×D4—44no—
257C22×D4—44no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4SD1618yescomplemented
261C22×D4C2×D412yes—
262C22×D4C2×D412yes—
263C22×D4C2×D414yes—
264C22×D4C2412yes—
265C23×C4—28no—
266C23×C4—28no—
267C23×C4—28no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—24no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—24no—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—22no—
280C23×C4—44no—
281C23×C4—44no—
282C23×C4—44no—
283C23×C4—44no—
284C23×C4—44no—
285C23×C4—44no—
286C23×C4—44no—
287C23×C4—44no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D412yes—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D414yes—
296C23×C4C2×D414yes—
297C23×C4C2412yes—
298C23×C4C2411yescharacteristic
299C23×C4C2411yescharacteristic
300C23×C4C2411yescharacteristic
301C2×SD16—28no—
302C2×SD16—48no—
303C22×C8—24no—
304C22×C8—24no—
305C22×C8—44no—
306C22×C8—44no—
307C22×C8C2414yes—
308C22×C8C2414yes—
309C4⋊Q8—216no—
310C4⋊Q8—28no—
311C4⋊Q8—28no—
312#123—232no—
313#123—232no—
314#123—232no—
315#123—232no—
316C22⋊Q8—232no—
317C22⋊Q8—232no—
318C22⋊Q8—24no—
319C22⋊Q8—24no—
320C22⋊Q8—24no—
321C22⋊Q8—24no—
322C22⋊Q8—44no—
323C22⋊Q8—44no—
324C22⋊Q8—48no—
325#121—216no—
326#121—28no—
327#121—28no—
328#121—28no—
329#121—24no—
330#121—24no—
331#121—28no—
332#121C2×D418yes—
333#121C2×D418yes—
334C4×D4—216no—
335C4×D4—28no—
336C4×D4—28no—
337C4×D4—28no—
338C4×D4—24no—
339C4×D4—24no—
340C4×D4—24no—
341C4×D4—24no—
342C4×D4—28no—
343C2×C4⋊C4—28no—
344C2×C4⋊C4—216no—
345C2×C4⋊C4—28no—
346C2×C4⋊C4—28no—
347C2×C4⋊C4—28no—
348C2×C4⋊C4—28no—
349C2×C4⋊C4—24no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—24no—
362C2×C4⋊C4—28no—
363C2×C4⋊C4—28no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—24no—
371C2×C4⋊C4—24no—
372C2×C4⋊C4—44no—
373C2×C4⋊C4—44no—
374C2×C4⋊C4C2×D412yes—
375C2×C4⋊C4C2×D412yes—
376C2×C4⋊C4C2×D414yes—
377C2×C4⋊C4C2×D414yes—
378C2×C4⋊C4C2×D414yes—
379C2×C4⋊C4C2×D418yes—
380C2×C4⋊C4C2×D418yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2414yes—
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C22⋊C4—28no—
387C2×C22⋊C4—28no—
388C2×C22⋊C4—24no—
389C2×C22⋊C4—28no—
390C2×C22⋊C4—24no—
391C2×C22⋊C4—24no—
392C2×C22⋊C4—24no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—44no—
402C2×C22⋊C4—44no—
403C2×C22⋊C4C2×D412yes—
404C2×C22⋊C4C2×D412yes—
405C2×C22⋊C4C2×D412yes—
406C2×C22⋊C4C2×D412yes—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42C2×D412yes—
410C2×C42C2412yes—
411#106—28no—
412#106—28no—
413#106—28no—
414#103—28no—
415#103—28no—
416#103—28no—
417#102—28no—
418#102—48no—
419C22⋊C8—24no—
420C22⋊C8—24no—
421C22⋊C8—24no—
422C22⋊C8—24no—
423C22⋊C8—48no—
424#95—22no—
425#95—22no—
426#95—24no—
427#95—24no—
428#95—24no—
429#95—24no—
430C24—22no—
431C24—22no—
432C24—24no—
433C24—22no—
434C24—42no—
435C24—42no—
436C24—42no—
437C24—42no—
438C24—44no—
439C24—44no—
440C24—42no—
441C24—42no—
442C24#12014yes—
443C24C2×SD1614yes—
444C24C2×SD1614yes—
445C24AGL(1,ℤ/8)14yes—
446C24C22×D412yes—
447C24C22×D411yescharacteristic
448C24C22×D411yescharacteristic
449C24C22×D411yescharacteristic
450#41—4128no—
451#41—4128no—
452C2×Q8—216no—
453C2×Q8—22no—
454C2×Q8—22no—
455C2×Q8—28no—
456C2×Q8—432no—
457C2×Q8—48no—
458C2×Q8—48no—
459C2×Q8—42no—
460C2×Q8—48no—
461C2×Q8—82no—
462C2×Q8—84no—
463C2×D4—24no—
464C2×D4—24no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—232no—
468C2×D4—216no—
469C2×D4—28no—
470C2×D4—28no—
471C2×D4—24no—
472C2×D4—22no—
473C2×D4—28no—
474C2×D4—48no—
475C2×D4—44no—
476C2×D4—48no—
477C2×D4—432no—
478C2×D4—48no—
479C2×D4—48no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—432no—
485C2×D4C2×SD1618yes—
486C2×D4C2×SD1618yes—
487C2×D4C22×D414yes—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—216no—
494C22×C4—216no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—28no—
501C22×C4—28no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—28no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—432no—
523C22×C4—48no—
524C22×C4—432no—
525C22×C4—48no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—48no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—432no—
538C22×C4—48no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—44no—
542C22×C4—82no—
543C22×C4—82no—
544C22×C4—82no—
545C22×C4—82no—
546C22×C4#12014yes—
547C22×C4#12014yes—
548C22×C4#12014yes—
549C22×C4C2×SD1614yes—
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D412yes—
558C22×C4C22×D412yes—
559C22×C4C22×D412yes—
560C22×C4C22×D412yes—
561C22×C4C22×D412yes—
562C22×C4C2511yescharacteristic
563SD16—88no—
564C2×C8—24no—
565C2×C8—24no—
566C2×C8—28no—
567C2×C8—28no—
568C2×C8—48no—
569C2×C8—84no—
570C4⋊C4—216no—
571C4⋊C4—216no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—28no—
576C4⋊C4—28no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—28no—
585C4⋊C4—42no—
586C4⋊C4—44no—
587C4⋊C4—44no—
588C4⋊C4—84no—
589C4⋊C4—82no—
590C4⋊C4—84no—
591C4⋊C4C22×D414yes—
592C4⋊C4C22×D414yes—
593C4⋊C4C22×D414yes—
594C22⋊C4—216no—
595C22⋊C4—216no—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—28no—
599C22⋊C4—28no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—84no—
607C22⋊C4—84no—
608C42—24no—
609C42—22no—
610C42—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—24no—
618C23—22no—
619C23—24no—
620C23—28no—
621C23—22no—
622C23—24no—
623C23—44no—
624C23—44no—
625C23—48no—
626C23—48no—
627C23—48no—
628C23—44no—
629C23—48no—
630C23—44no—
631C23—48no—
632C23—48no—
633C23—44no—
634C23—44no—
635C23—48no—
636C23—42no—
637C23—42no—
638C23—88no—
639C23—88no—
640C23#450116yes—
641C23C2×#12012yes—
642C23C2×#12012yes—
643C23C2×#12012yes—
644C23C22×SD1614yes—
645C23C22×SD1612yes—
646C23C22×SD1612yes—
647C23C22×SD1612yes—
648C23C2×AGL(1,ℤ/8)12yes—
649C23C2×AGL(1,ℤ/8)12yes—
650C23C2×AGL(1,ℤ/8)12yes—
651C23C23×D411yescharacteristic
652Q8—432no—
653Q8—44no—
654Q8—44no—
655Q8—84no—
656D4—216no—
657D4—216no—
658D4—28no—
659D4—48no—
660D4—432no—
661D4—416no—
662D4—416no—
663D4—44no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—28no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—48no—
687C2×C4—432no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—432no—
691C2×C4—48no—
692C2×C4—48no—
693C2×C4—48no—
694C2×C4—416no—
695C2×C4—416no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—84no—
712C2×C4—84no—
713C2×C4—164no—
714C2×C4C2×#12012yes—
715C2×C4C2×#12012yes—
716C2×C4C2×#12012yes—
717C2×C4C22×SD1614yes—
718C2×C4C23×D411yescharacteristic
719C2×C4C23×D411yescharacteristic
720C2×C4#58514yes—
721C8—44no—
722C8—44no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—28no—
737C22—416no—
738C22—416no—
739C22—44no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—816no—
746C22—84no—
747C22—84no—
748C22C2×#45014yes—
749C22C2×#45014yes—
750C22C2×#45014yes—
751C22C22×#12011yescharacteristic
752C22#348512yes—
753C22C23×SD1611yescharacteristic
754C22C22×AGL(1,ℤ/8)11yescharacteristic
755C22#358612yes—
756C4—22no—
757C4—22no—
758C4—22no—
759C4—24no—
760C4—42no—
761C4—44no—
762C4—44no—
763C4—44no—
764C4—42no—
765C4—84no—
766C4—82no—
767C4—82no—
768C4#344912yes—
769C4#348512yes—
770C2—24no—
771C2—24no—
772C2—24no—
773C2—44no—
774C2—84no—
775C2#3508811yescharacteristic
776C2C22×#45011yescharacteristic
777C2#6036811yescharacteristic
778C2#6169512yes—
779C2#6170612yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#547C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3187C2semidirect
3. C22×#483C2semidirect
4. #35010C2semidirect
5. #33007C2semidirect
6. #32982C2semidirect
7. #29641C2semidirect
8. #29596C2semidirect
9. #25531C2semidirect
10. #24089C2semidirect
11. #23961C2semidirect
12. #21758C2semidirect
13. #21738C2semidirect
14. C2×#1823C2semidirect
34. C2×#481C22semidirect
39. C2×#483C22semidirect
40. C2×#465C22semidirect
41. C2×#448C22semidirect
43. C22×#106C22semidirect
44. C22×#103C22semidirect
53. #2487C22semidirect
54. #2417C22semidirect
55. #2409C22semidirect
59. #2058C22semidirect
60. #2034C22semidirect
61. #2024C22semidirect
62. #2000C22semidirect
63. #1893C22semidirect
64. #1877C22semidirect
65. #1874C22semidirect
66. #1872C22semidirect
67. #1869C22semidirect
68. #1869C22semidirect
69. #1864C22semidirect
70. #1853C22semidirect
74. #1823C22semidirect
78. C2×#340C22semidirect
260. C22×D4SD16semidirect

Maximal subgroups

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

subgroupindex
C22×#5472
C2×#31872
C22×#4832
#350102
#330072
#329822
#296412
#295962
#255312
#240892
#239612
#217582
#217382
C2×#18232