Finite Group Databasebeta

← #6848336

Subgroups — #6848336

Order 512.

1947 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36154C211yesmaximal, characteristic
2C2×#2538C211yesmaximal, characteristic
3#32957C211yesmaximal, characteristic, complemented
4#32000C214yesmaximal, complemented
5#31388C214yesmaximal, complemented
6#29597C212yesmaximal, complemented
7#28142C212yesmaximal, complemented
8#27961C211yesmaximal, characteristic, complemented
9#27648C211yesmaximal, characteristic, complemented
10#27603C212yesmaximal, complemented
11#25340C212yesmaximal, complemented
12#24971C212yesmaximal, complemented
13#24552C212yesmaximal, complemented
14#24122C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16#21759C212yesmaximal, complemented
17C4×#451C211yesmaximal, characteristic, complemented
18C2×#554C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#484C2212yes—
23C2×#477C2212yescomplemented
24C2×#451C2211yescharacteristic
25C2×C4×Q16C2212yescomplemented
26C2×C8×D4C2212yes—
27C22×C22⋊C8C2212yes—
28#2857C2211yescharacteristic
29#2848C2212yes—
30#2563C2211yescharacteristic
31#2538—21no—
32#2538—22no—
33#2538—21no—
34#2538C2214yes—
35#2538C2212yes—
36#2538C2211yescharacteristic
37#2538C2212yes—
38#2487C2212yes—
39#2454—21no—
40#2450—22no—
41#2442—21no—
42#2437—22no—
43#2417C2212yes—
44C2×#396—22no—
45#2349—21no—
46D4×C4⋊C4C2211yescharacteristic
47D4×C22⋊C4—21no—
48C4×C22⋊Q8C2211yescharacteristic
49C2×#390—21no—
50C2×#389—21no—
51C2×#384C2211yescharacteristic
52C2×#380C2212yes—
53C2×#380C2212yes—
54#2100C2214yescomplemented
55#2083C2212yescomplemented
56#2076C2214yescomplemented
57#2076C2214yescomplemented
58#2076C2214yescomplemented
59#2072C2212yescomplemented
60#2036C2214yescomplemented
61#2036C2214yescomplemented
62#2036C2214yescomplemented
63#2001C2214yescomplemented
64#2001C2214yescomplemented
65#1990C2212yescomplemented
66#1954C2212yes—
67#1947C2212yescomplemented
68#1892C2214yescomplemented
69#1892C2214yescomplemented
70#1892C2214yescomplemented
71#1878C2212yescomplemented
72#1872C2211yescharacteristic
73#1872C2214yescomplemented
74#1872C2214yescomplemented
75#1869C2214yes—
76#1863C2212yescomplemented
77#1863C2214yescomplemented
78#1852C2212yes—
79#1852C2211yescharacteristic
80#1852C2214yescomplemented
81#1834C2212yescomplemented
82#1824C2212yes—
83#1824C2212yes—
84#1824C2212yes—
85#1824C2214yescomplemented
86#1808C2214yescomplemented
87#1803C2212yescomplemented
88#1803C2212yescomplemented
89#1797C2211yescharacteristic
90#1787C2212yes—
91#1787C2211yescharacteristic
92#1779C2212yes—
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8C2311yescharacteristic
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×Q16C2312yes—
99C23×C8C2314yes—
100#554—44no—
101C2×C4⋊Q8C2311yescharacteristic
102C2×#125—21no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—28no—
108C2×C22⋊Q8—44no—
109C2×C22⋊Q8C2311yescharacteristic
110C2×C22⋊Q8C2314yes—
111C2×C22⋊Q8C2314yes—
112C2×C22⋊Q8C2312yes—
113C2×C22⋊Q8C2312yes—
114C2×C4×Q8—21no—
115C2×C4×Q8—21no—
116C2×C4×Q8—44no—
117C2×C4×Q8C2312yes—
118C2×C4×Q8C2311yescharacteristic
119C2×C4×Q8C2312yes—
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—44no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D412yes—
125C2×C4×D4D411yescharacteristic
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2312yes—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4D411yescharacteristic
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2312yes—
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4D412yes—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144#484—44no—
145#477—44no—
146#451—24no—
147C4×Q16—44no—
148C8×D4—44no—
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#107C2312yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2312yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2312yes—
158C2×#103C2312yes—
159C2×#103C2312yes—
160C2×C22⋊C8—44no—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2311yescharacteristic
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C4×C8C2312yes—
168#400—22no—
169#399—22no—
170#398—22no—
171#396—24no—
172#396—24no—
173#396—24no—
174#396—24no—
175#396—22no—
176#396—22no—
177#393—22no—
178#391—21no—
179#391C2311yescharacteristic
180#390—21no—
181#390—21no—
182#390—22no—
183#390—22no—
184#390—24no—
185#389—21no—
186#389—21no—
187#389—22no—
188#389—22no—
189#389—24no—
190#389—21no—
191#389C2311yescharacteristic
192#389C2312yes—
193#387—21no—
194#386—22no—
195#386—22no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—21no—
200#385—22no—
201#385—22no—
202#384—21no—
203#384—21no—
204#384C2311yescharacteristic
205#384C2312yes—
206#384C2312yes—
207#382—21no—
208#380—21no—
209#380—22no—
210#380—22no—
211#380—22no—
212#380—22no—
213#380—22no—
214#380C2312yes—
215#380C2312yes—
216#380C2314yes—
217#380C2312yes—
218#380C2312yes—
219#380C2314yes—
220#380C2312yes—
221#380C2311yescharacteristic
222#379—22no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4C2311yescharacteristic
225C4×C22⋊C4—21no—
226C2×#95—22no—
227C2×#95—22no—
228#340C2314yes—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#336C2312yes—
238#336C2312yes—
239C25C2×D412yes—
240C22×Q8—21no—
241C22×Q8—21no—
242C22×Q8—22no—
243C22×Q8—42no—
244C22×Q8—42no—
245C22×Q8#4114yes—
246C22×Q8C2411yescharacteristic
247C22×Q8C2412yes—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4Q1618yescomplemented
251C22×D4C2×D411yescharacteristic
252C22×D4C2×D411yescharacteristic
253C22×D4C2×D412yes—
254C23×C4—21no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—22no—
258C23×C4—21no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D412yes—
266C23×C4C2×D412yes—
267C23×C4C2×D412yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2411yescharacteristic
271C2×Q16—24no—
272C2×Q16—42no—
273C2×Q16—42no—
274C22×C8—44no—
275C22×C8—44no—
276C22×C8—44no—
277C22×C8C2412yes—
278C22×C8C2414yes—
279C22×C8C2412yes—
280C4⋊Q8—24no—
281#125—44no—
282C22⋊Q8—28no—
283C22⋊Q8—28no—
284C22⋊Q8—22no—
285C22⋊Q8—22no—
286C22⋊Q8—48no—
287C22⋊Q8—44no—
288C22⋊Q8—44no—
289C22⋊Q8—44no—
290C22⋊Q8—48no—
291C22⋊Q8—48no—
292C22⋊Q8—44no—
293C22⋊Q8—82no—
294C4×Q8—24no—
295C4×Q8—24no—
296C4×Q8—24no—
297C4×Q8—42no—
298C4×Q8—42no—
299C4×Q8—44no—
300C4×Q8—44no—
301C4×D4—24no—
302C4×D4—24no—
303C4×D4—44no—
304C4×D4—42no—
305C4×D4—42no—
306C4×D4—44no—
307C4×D4—44no—
308C4×D4—44no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—48no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—82no—
340C2×C4⋊C4C2×D411yescharacteristic
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D412yes—
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2414yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2411yescharacteristic
350C2×C22⋊C4—21no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—48no—
365C2×C22⋊C4—84no—
366C2×C22⋊C4—84no—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C42—24no—
372C2×C42—21no—
373C2×C42—21no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—44no—
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2411yescharacteristic
380C2×C42C2411yescharacteristic
381#107—42no—
382#107—44no—
383#107—44no—
384C4⋊C8—24no—
385#103—24no—
386#103—42no—
387#103—44no—
388#103—42no—
389#103—42no—
390#103—44no—
391#103—44no—
392C22⋊C8—22no—
393C22⋊C8—22no—
394C22⋊C8—24no—
395C22⋊C8—44no—
396C22⋊C8—44no—
397C22⋊C8—44no—
398C4×C8—24no—
399#95—21no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—24no—
404#95—24no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—22no—
410#95—22no—
411#95—22no—
412C24—24no—
413C24—24no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24C2×Q1618yes—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C22×D411yescharacteristic
422C2×Q8—24no—
423C2×Q8—22no—
424C2×Q8—21no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—21no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—48no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—48no—
436C2×Q8—42no—
437C2×Q8—81no—
438C2×Q8—81no—
439C2×Q8C2×#4114yes—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—416no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4C2×Q1614yes—
448C2×D4C2×Q1614yes—
449C2×D4C2×Q1618yes—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—41no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—88no—
495C22×C4—88no—
496C22×C4—82no—
497C22×C4—82no—
498C22×C4—82no—
499C22×C4—82no—
500C22×C4C2×Q1614yes—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C2×#4112yes—
509C22×C4H(5,𝔽2)12yes—
510C22×C4C2511yescharacteristic
511Q16—48no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—24no—
517C2×C8—24no—
518C2×C8—22no—
519C2×C8—24no—
520C2×C8—22no—
521C2×C8—88no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—24no—
530C4⋊C4—21no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—24no—
534C4⋊C4—42no—
535C4⋊C4—48no—
536C4⋊C4—48no—
537C4⋊C4—44no—
538C4⋊C4—42no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—44no—
548C4⋊C4—42no—
549C4⋊C4—81no—
550C4⋊C4—82no—
551C4⋊C4—82no—
552C4⋊C4—82no—
553C4⋊C4—82no—
554C4⋊C4—81no—
555C4⋊C4—82no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—44no—
567C22⋊C4—82no—
568C22⋊C4—84no—
569C22⋊C4—84no—
570C22⋊C4—82no—
571C22⋊C4—82no—
572C22⋊C4—82no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—44no—
577C42—44no—
578C42—42no—
579C42—42no—
580C42H(5,𝔽2)14yes—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—216no—
598C23—48no—
599C23—48no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23#54612yes—
605C23C22×Q1614yes—
606C23C22×Q1614yes—
607C23C22×Q1612yes—
608C23#57712yes—
609C23C23×D411yescharacteristic
610Q8—24no—
611Q8—24no—
612Q8—48no—
613Q8—42no—
614Q8—42no—
615Q8—42no—
616Q8—42no—
617Q8—162no—
618D4—28no—
619D4—28no—
620D4—48no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—28no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—44no—
641C2×C4—48no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4—88no—
677C2×C4—164no—
678C2×C4—164no—
679C2×C4#53412yes—
680C2×C4#53412yes—
681C2×C4#54612yes—
682C2×C4C22×Q1612yes—
683C2×C4C22×Q1612yes—
684C2×C4#57512yes—
685C2×C4C22×#4111yescharacteristic
686C2×C4C2×H(5,𝔽2)12yes—
687C2×C4C2×H(5,𝔽2)11yescharacteristic
688C2×C4#58512yes—
689C8—42no—
690C8—44no—
691C8—42no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—24no—
703C22—24no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—816no—
713C22#329914yes—
714C22C2×#53411yescharacteristic
715C22C2×#54611yescharacteristic
716C22#348511yescharacteristic
717C22C23×Q1611yescharacteristic
718C22C2×#57511yescharacteristic
719C22C2×#57711yescharacteristic
720C22#358511yescharacteristic
721C4—22no—
722C4—22no—
723C4—22no—
724C4—42no—
725C4—42no—
726C4—44no—
727C4—41no—
728C4—81no—
729C4—82no—
730C4—81no—
731C4—82no—
732C4—81no—
733C4—82no—
734C4—81no—
735C4—84no—
736C4#318914yes—
737C4#350512yes—
738C4#354212yes—
739C2—24no—
740C2—44no—
741C2—44no—
742C2#3946611yescharacteristic
743C2C2×#318911yescharacteristic
744C2#6076511yescharacteristic
745C2C2×#329911yescharacteristic
746C2#6116011yescharacteristic
747C2#6169811yescharacteristic
748C2#6173911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
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
3. #32957C2semidirect
4. #32000C2semidirect
5. #31388C2semidirect
6. #29597C2semidirect
7. #28142C2semidirect
8. #27961C2semidirect
9. #27648C2semidirect
10. #27603C2semidirect
11. #25340C2semidirect
12. #24971C2semidirect
13. #24552C2semidirect
14. #24122C2semidirect
16. #21759C2semidirect
17. C4×#451C2semidirect
23. C2×#477C22semidirect
25. C2×C4×Q16C22semidirect
54. #2100C22semidirect
55. #2083C22semidirect
56. #2076C22semidirect
57. #2076C22semidirect
58. #2076C22semidirect
59. #2072C22semidirect
60. #2036C22semidirect
61. #2036C22semidirect
62. #2036C22semidirect
63. #2001C22semidirect
64. #2001C22semidirect
65. #1990C22semidirect
67. #1947C22semidirect
68. #1892C22semidirect
69. #1892C22semidirect
70. #1892C22semidirect
71. #1878C22semidirect
73. #1872C22semidirect
74. #1872C22semidirect
76. #1863C22semidirect
77. #1863C22semidirect
80. #1852C22semidirect
81. #1834C22semidirect
85. #1824C22semidirect
86. #1808C22semidirect
87. #1803C22semidirect
88. #1803C22semidirect
93. C4×#103C22semidirect
250. C22×D4Q16semidirect

Maximal subgroups

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

subgroupindex
#361542
C2×#25382
#329572
#320002
#313882
#295972
#281422
#279612
#276482
#276032
#253402
#249712
#245522
#241222
D4×C22⋊C82
#217592
C4×#4512