Finite Group Databasebeta

← #6629671

Subgroups — #6629671

Order 512.

2880 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3092C212yesmaximal, complemented
2#36624C211yesmaximal, characteristic
3C22×C4×C4⋊C4C211yesmaximal, characteristic, complemented
4#33111C214yesmaximal, complemented
5#33110C214yesmaximal, complemented
6#33109C212yesmaximal, complemented
7#33108C212yesmaximal, complemented
8#33107C212yesmaximal, complemented
9#33106C212yesmaximal, complemented
10#21258C212yesmaximal, complemented
11#21170C212yesmaximal, complemented
12#21059C214yesmaximal, complemented
13#20909C212yesmaximal, complemented
14#20626C211yesmaximal, characteristic, complemented
15C2×#532C2211yescharacteristic
16C2×#525C2212yes—
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C42—21no—
20C23×C42C2211yescharacteristic
21#3092—216no—
22C2×#484C2214yes—
23C2×#481C2214yes—
24C2×#483C2214yes—
25C2×#480C2214yes—
26C2×#428C2214yes—
27C2×#423C2212yes—
28C2×#417C2214yes—
29C2×#417C2214yes—
30C2×#407C2212yes—
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2856C2211yescharacteristic
34#2856C2211yescharacteristic
35#2854—21no—
36#2854—21no—
37#2850C2212yes—
38#2850C2212yes—
39#2847—21no—
40#2847—21no—
41C4×#121—21no—
42C4×#121—21no—
43C4×#121—21no—
44C4×#121—21no—
45#2297C2212yes—
46#2285C2211yescharacteristic
47C2×C4×C4⋊C4—21no—
48C2×C4×C4⋊C4—21no—
49C2×C4×C4⋊C4—21no—
50C2×C4×C4⋊C4—21no—
51C2×C4×C4⋊C4—21no—
52C2×C4×C4⋊C4—21no—
53C2×C4×C4⋊C4C2212yes—
54C2×C4×C4⋊C4C2212yes—
55C2×C4×C4⋊C4C2212yes—
56C2×C4×C4⋊C4C2212yes—
57C2×C4×C4⋊C4C2212yes—
58C2×C4×C4⋊C4C2212yes—
59C22×#95—21no—
60#1983C2218yescomplemented
61#1982C2214yescomplemented
62#1981C2214yescomplemented
63#1949C2218yescomplemented
64#1948C2214yescomplemented
65#1947C2214yescomplemented
66#1928C2218yescomplemented
67#1927C2218yescomplemented
68#1926C2218yescomplemented
69#1925C2218yescomplemented
70#1874C2214yes—
71#1874C2214yes—
72#1872C2214yes—
73#1872C2214yes—
74#1797C2212yes—
75#1797C2212yes—
76#1797C2212yes—
77#1797C2212yes—
78#1736C2214yes—
79#1728C2212yes—
80C22×#41C2312yes—
81C24×C4—21no—
82C24×C4—21no—
83C24×C4D411yescharacteristic
84C24×C4D411yescharacteristic
85C24×C4C2311yescharacteristic
86C22×M16C2314yes—
87#532—28no—
88C2×C4⋊Q8C2311yescharacteristic
89C2×#127C2311yescharacteristic
90C2×#124C2312yes—
91#525—28no—
92#525—28no—
93C2×#123—22no—
94C2×C22⋊Q8C2312yes—
95C2×C22⋊Q8C2312yes—
96C2×#121—21no—
97C2×#121—21no—
98C2×#121—21no—
99C2×#121—21no—
100C2×#121—21no—
101C2×#121—21no—
102C2×#121C2312yes—
103C2×#121C2312yes—
104C2×#120—22no—
105C2×C4×D4—22no—
106C2×C4×D4—22no—
107C2×C4×D4—21no—
108C2×C4×D4—21no—
109C2×#117C2312yes—
110C22×C4⋊C4—21no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—24no—
117C22×C4⋊C4—28no—
118C22×C4⋊C4D418yescomplemented
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C42—28no—
126C22×C42—22no—
127C22×C42—22no—
128C22×C42—22no—
129C22×C42—22no—
130C22×C42—22no—
131C22×C42—22no—
132C22×C42—48no—
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#484—216no—
146#483—216no—
147#481—216no—
148#480—216no—
149#428—216no—
150C2×#107C2318yes—
151C2×#106C2318yes—
152#423—28no—
153C2×C4⋊C8C2314yes—
154C2×C4⋊C8C2314yes—
155#417—216no—
156#417—216no—
157C2×#103C2318yes—
158C2×#103C2318yes—
159C2×#102C2318yes—
160C2×#102C2318yes—
161#407—28no—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164#391C2312yes—
165#391C2312yes—
166#390—21no—
167#390—21no—
168#390—21no—
169#390—21no—
170#390C2312yes—
171#390C2312yes—
172#389—21no—
173#389—21no—
174#389—21no—
175#389—21no—
176#388—22no—
177#388—22no—
178#388—22no—
179#388—22no—
180#386—22no—
181#386—22no—
182#386—22no—
183#386—22no—
184#386—22no—
185#386—22no—
186#384C2311yescharacteristic
187#384C2311yescharacteristic
188#382C2312yes—
189#380—21no—
190#380—21no—
191#380—21no—
192#380—21no—
193#380—21no—
194#380—21no—
195C4×C4⋊C4—22no—
196C4×C4⋊C4—22no—
197C4×C4⋊C4—22no—
198C4×C4⋊C4—22no—
199C4×C4⋊C4—22no—
200C4×C4⋊C4—22no—
201C4×C4⋊C4—22no—
202C4×C4⋊C4—22no—
203C4×C4⋊C4—22no—
204C4×C4⋊C4—22no—
205C4×C4⋊C4—22no—
206C4×C4⋊C4—22no—
207C4×C4⋊C4—21no—
208C4×C4⋊C4—21no—
209C4×C4⋊C4C2314yes—
210C4×C4⋊C4C2314yes—
211C4×C4⋊C4C2314yes—
212C4×C4⋊C4C2314yes—
213C4×C22⋊C4—22no—
214C4×C22⋊C4—22no—
215C2×#95—22no—
216C2×#95—22no—
217C2×#95—22no—
218C2×#95—22no—
219C2×#95—22no—
220C2×#95—22no—
221#340C2318yes—
222#340C2318yes—
223#336C2314yes—
224#336C2314yes—
225C25C2×D411yescharacteristic
226C2×#41—24no—
227C2×#41—24no—
228C2×#41—28no—
229C2×#41—28no—
230C22×Q8C2412yes—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—21no—
235C22×D4—21no—
236C22×D4C2412yes—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—28no—
243C23×C4—28no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—24no—
251C23×C4—22no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D414yes—
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4#4114yes—
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277C23×C4C2411yescharacteristic
278C2×M16—28no—
279C2×M16—28no—
280C2×M16—28no—
281C22×C8C2418yes—
282C4⋊Q8—24no—
283#127—24no—
284#124—28no—
285#123—48no—
286C22⋊Q8—24no—
287C22⋊Q8—24no—
288C22⋊Q8—24no—
289C22⋊Q8—24no—
290#121—24no—
291#121—24no—
292#121—24no—
293#121—24no—
294#121—44no—
295#121—44no—
296#121—44no—
297#121—44no—
298#121—44no—
299#121—44no—
300#120—48no—
301C4×D4—48no—
302C4×D4—48no—
303C4×D4—44no—
304C4×D4—44no—
305#117—24no—
306#117—24no—
307C2×C4⋊C4—28no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—28no—
324C2×C4⋊C4—28no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4C2×D418yes—
334C2×C4⋊C4C2×D418yes—
335C2×C4⋊C4C2×D418yes—
336C2×C4⋊C4#4118yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2414yes—
340C2×C4⋊C4C2414yes—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—24no—
363C2×C42—22no—
364C2×C42—24no—
365C2×C42—24no—
366C2×C42—24no—
367C2×C42—24no—
368C2×C42—48no—
369C2×C42—48no—
370C2×C42—48no—
371C2×C42—48no—
372C2×C42—48no—
373C2×C42—48no—
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42#4118yes—
387C2×C42C2411yescharacteristic
388C2×C42C2411yescharacteristic
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—216no—
392#106—216no—
393C4⋊C8—28no—
394C4⋊C8—28no—
395#103—216no—
396#103—216no—
397#102—216no—
398#102—216no—
399C22⋊C8—28no—
400C22⋊C8—28no—
401#95—24no—
402#95—24no—
403#95—24no—
404#95—24no—
405#95—22no—
406#95—22no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24#12114yes—
419C24C22×D411yescharacteristic
420C24C22×D411yescharacteristic
421C24C22×D411yescharacteristic
422#41—416no—
423#41—416no—
424C2×Q8—22no—
425C2×Q8—24no—
426C2×Q8—22no—
427C2×Q8—24no—
428C2×D4—22no—
429C2×D4—24no—
430C2×D4—22no—
431C2×D4—24no—
432C2×D4—42no—
433C2×D4—42no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—42no—
446C2×D4—42no—
447C22×C4—232no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—216no—
462C22×C4—216no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—22no—
481C22×C4—28no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—416no—
508C22×C4—432no—
509C22×C4—432no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4#12114yes—
522C22×C4#12114yes—
523C22×C4#12114yes—
524C22×C4#12314yes—
525C22×C4#12314yes—
526C22×C4AGL(1,ℤ/8)14yes—
527C22×C4#13714yes—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D412yes—
541C22×C4C22×D411yescharacteristic
542C22×C4C2×#4112yes—
543C22×C4C2×#4112yes—
544C22×C4C2×#4112yes—
545C22×C4C2×#4114yes—
546C22×C4C2×#4114yes—
547C22×C4C2511yescharacteristic
548M16—416no—
549C2×C8—28no—
550C2×C8—28no—
551C2×C8—28no—
552C4⋊C4—28no—
553C4⋊C4—28no—
554C4⋊C4—28no—
555C4⋊C4—28no—
556C4⋊C4—28no—
557C4⋊C4—28no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4C22×D418yes—
573C4⋊C4C2×#4118yes—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—48no—
598C42—48no—
599C42—44no—
600C42—48no—
601C42—48no—
602C42#12314yes—
603C42#12314yes—
604C42C2×#4114yes—
605C42C2×#4114yes—
606C23—28no—
607C23—28no—
608C23—28no—
609C23—28no—
610C23—28no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—28no—
616C23—28no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23C2×#12112yes—
633C23C2×#12112yes—
634C23C2×#12112yes—
635C23C2×#12312yes—
636C23#52512yes—
637C23C2×AGL(1,ℤ/8)12yes—
638C23C2×#13712yes—
639C23#57512yes—
640C23#57512yes—
641C23C23×D411yescharacteristic
642Q8—44no—
643Q8—44no—
644D4—44no—
645D4—44no—
646D4—84no—
647D4—88no—
648D4—88no—
649D4—88no—
650D4—84no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—28no—
654C2×C4—28no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—28no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—28no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—28no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—416no—
693C2×C4—416no—
694C2×C4—416no—
695C2×C4—416no—
696C2×C4—416no—
697C2×C4—416no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
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—88no—
712C2×C4C2×#12112yes—
713C2×C4C2×#12112yes—
714C2×C4C2×#12112yes—
715C2×C4C2×#12312yes—
716C2×C4C2×#12312yes—
717C2×C4C2×#12312yes—
718C2×C4C2×#12312yes—
719C2×C4C2×#12312yes—
720C2×C4#52512yes—
721C2×C4#52918yes—
722C2×C4#53218yes—
723C2×C4C2×AGL(1,ℤ/8)12yes—
724C2×C4C2×AGL(1,ℤ/8)12yes—
725C2×C4C2×#13712yes—
726C2×C4C2×#13712yes—
727C2×C4C23×D411yescharacteristic
728C2×C4C22×#4111yescharacteristic
729C2×C4C22×#4112yes—
730C2×C4C22×#4112yes—
731C8—48no—
732C22—232no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22#285414yes—
759C22#303614yes—
760C22#303714yes—
761C22C22×#12111yescharacteristic
762C22C22×#12311yescharacteristic
763C22C2×#52511yescharacteristic
764C22C22×AGL(1,ℤ/8)11yescharacteristic
765C22C22×#13711yescharacteristic
766C22C2×#57511yescharacteristic
767C22C2×#57511yescharacteristic
768C4—22no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—22no—
774C4—22no—
775C4—41no—
776C4—41no—
777C4—48no—
778C4—48no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4#285414yes—
783C4#309214yescomplemented
784C4C2×#52912yes—
785C4C2×#53212yes—
786C2—24no—
787C2—24no—
788C2—24no—
789C2—162no—
790C2C2×#285411yescharacteristic
791C2C2×#303611yescharacteristic
792C2C2×#303711yescharacteristic
793C2C2×#309211yescharacteristic
794C2#6051111yescharacteristic
795C2#6055811yescharacteristic
796C2#6056011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36624C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3092C2semidirect
3. C22×C4×C4⋊C4C2semidirect
4. #33111C2semidirect
5. #33110C2semidirect
6. #33109C2semidirect
7. #33108C2semidirect
8. #33107C2semidirect
9. #33106C2semidirect
10. #21258C2semidirect
11. #21170C2semidirect
12. #21059C2semidirect
13. #20909C2semidirect
14. #20626C2semidirect
60. #1983C22semidirect
61. #1982C22semidirect
62. #1981C22semidirect
63. #1949C22semidirect
64. #1948C22semidirect
65. #1947C22semidirect
66. #1928C22semidirect
67. #1927C22semidirect
68. #1926C22semidirect
69. #1925C22semidirect
118. C22×C4⋊C4D4semidirect
783. C4#3092semidirect

Maximal subgroups

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

subgroupindex
C2×#30922
#366242
C22×C4×C4⋊C42
#331112
#331102
#331092
#331082
#331072
#331062
#212582
#211702
#210592
#209092
#206262