Finite Group Databasebeta

← #6373094

Subgroups — #6373094

Order 512.

2542 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3094C211yesmaximal, characteristic
2#34204C211yesmaximal, characteristic
3C2×#2274C211yesmaximal, characteristic, complemented
4#21590C214yesmaximal, complemented
5#21588C214yesmaximal, complemented
6#21580C212yesmaximal, complemented
7#21578C212yesmaximal, complemented
8C4×#481C212yesmaximal, complemented
9C4×#480C212yesmaximal, complemented
10#21063C212yesmaximal, complemented
11#21036C212yesmaximal, complemented
12C2×#1874C211yesmaximal, characteristic
13#20844C211yesmaximal, characteristic, complemented
14#20699C211yesmaximal, characteristic, complemented
15#20453C212yesmaximal, complemented
16#20416C212yesmaximal, complemented
17#20379C211yesmaximal, characteristic, complemented
18C22×#121C2211yescharacteristic
19C2×#518C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23#3094C4116yescomplemented
24C2×#481C2212yes—
25C2×#482C2214yes—
26C2×#480C2212yes—
27C2×#428C2212yes—
28C2×#428C2212yes—
29C2×#418C2212yes—
30C22×#102C2212yes—
31C2×#407C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33C2×#405C2212yes—
34#2363—21no—
35#2363—21no—
36#2361—21no—
37#2361—21no—
38#2342—22no—
39D4×C22⋊C4—22no—
40#2324C2212yes—
41#2324C2212yes—
42#2316C2211yescharacteristic
43#2309C2211yescharacteristic
44C4×#121C2212yes—
45C4×#121C2212yes—
46#2280C2211yescharacteristic
47#2274—22no—
48#2274—21no—
49#2274—21no—
50#2274C2212yes—
51#2274C2211yescharacteristic
52#2274C2212yes—
53#2274C2214yescomplemented
54C2×C4×C4⋊C4—21no—
55C2×C4×C4⋊C4—21no—
56C2×C4×C4⋊C4C2212yescomplemented
57C2×C4×C4⋊C4C2212yescomplemented
58C2×C4×C22⋊C4—22no—
59#1926C2214yescomplemented
60#1926C2214yescomplemented
61#1925C2214yescomplemented
62#1925C2214yescomplemented
63#1921C2214yescomplemented
64#1920C2214yescomplemented
65#1919C2214yescomplemented
66#1918C2214yescomplemented
67#1874C2212yes—
68#1874C2212yes—
69#1874C2214yes—
70#1853C2212yescomplemented
71#1853C2212yescomplemented
72#1852C2212yescomplemented
73#1852C2212yescomplemented
74#1825C2212yescomplemented
75#1825C2212yescomplemented
76#1824C2211yescharacteristic, complemented
77#1824C2211yescharacteristic, complemented
78#1823C2211yescharacteristic, complemented
79#1823C2211yescharacteristic, complemented
80#1776C2214yescomplemented
81#1776C2214yescomplemented
82C4×#107C2214yescomplemented
83C4×#106C2214yescomplemented
84#1762C2214yescomplemented
85#1762C2214yescomplemented
86C4×#102C2214yescomplemented
87C4×#102C2214yescomplemented
88#1750C2214yescomplemented
89#1749C2212yescomplemented
90C4×C22⋊C8C2212yescomplemented
91#1736C2212yes—
92#1735C2212yes—
93#1735C2212yes—
94C2×#340C2212yes—
95#1729C2212yes—
96C23×D4—21no—
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C24×C4C2311yescharacteristic
100C22×M16C2312yes—
101C23×C8C2312yes—
102C2×#121—21no—
103C2×#121—21no—
104C2×#121—24no—
105C2×#121C2×C418yes—
106C2×#121C2312yes—
107C2×#121C2312yes—
108#518—28no—
109C2×C4×D4—22no—
110C2×C4×D4—22no—
111C2×C4×D4—21no—
112C2×C4×D4—21no—
113C2×C4×D4C2312yes—
114C2×C4×D4C2312yes—
115C2×#117—21no—
116C2×#117—21no—
117C2×#117—24no—
118C2×#117—28no—
119C2×#117C2×C418yescomplemented
120C2×#117D412yes—
121C2×#117D411yescharacteristic
122C2×#117D411yescharacteristic
123C2×#117C2311yescharacteristic
124C2×#117C2311yescharacteristic
125C2×#117C2312yes—
126C2×#117C2312yes—
127C2×#117C2311yescharacteristic
128C2×#117C2312yes—
129C2×#117C2311yescharacteristic
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—28no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42—21no—
147C22×C42—22no—
148C22×C42—22no—
149C22×C42C2312yes—
150#482C2×C4132yescomplemented
151#481C2×C4116yescomplemented
152#480C2×C4116yescomplemented
153#428—28no—
154#428C2×C4116yescomplemented
155C2×#107C2314yes—
156C2×#107C2314yes—
157C2×#106C2314yes—
158C2×#106C2314yes—
159#418C2×C4116yescomplemented
160C2×#102—28no—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165#407C2×C418yescomplemented
166C2×C22⋊C8—24no—
167C2×C22⋊C8C2311yescharacteristic
168C2×C22⋊C8C2311yescharacteristic
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172#405—28no—
173C2×#97C2314yes—
174C2×C4×C8C2314yes—
175#390—21no—
176#390—21no—
177#390—22no—
178#390—22no—
179#390C2312yes—
180#390C2312yes—
181#389—21no—
182#389—21no—
183#389C2312yes—
184#389C2312yes—
185#388—22no—
186#388—22no—
187#388—22no—
188#388—22no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#385—22no—
194#385—22no—
195#381—21no—
196#380—22no—
197#380C2311yescharacteristic
198#380C2311yescharacteristic
199#380C2311yescharacteristic
200#380C2311yescharacteristic
201#379—21no—
202#379—22no—
203C4×C4⋊C4—21no—
204C4×C4⋊C4—21no—
205C4×C4⋊C4—22no—
206C4×C4⋊C4—22no—
207C4×C4⋊C4—22no—
208C4×C4⋊C4—22no—
209C4×C4⋊C4—24no—
210C4×C4⋊C4—24no—
211C4×C4⋊C4—22no—
212C4×C4⋊C4—22no—
213C4×C4⋊C4—22no—
214C4×C4⋊C4—22no—
215C4×C4⋊C4C2312yes—
216C4×C4⋊C4C2312yes—
217C4×C4⋊C4C2314yes—
218C4×C4⋊C4C2314yes—
219C4×C4⋊C4C2314yes—
220C4×C4⋊C4C2314yes—
221C4×C22⋊C4—21no—
222C4×C22⋊C4—21no—
223C4×C22⋊C4—22no—
224C4×C22⋊C4—24no—
225C4×C22⋊C4—24no—
226C4×C22⋊C4—24no—
227C4×C22⋊C4—24no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C2×#95—22no—
231C2×#95—22no—
232#340C2312yes—
233#340C2312yes—
234#340C2312yes—
235#340C2312yes—
236#340C2312yes—
237#340C2312yes—
238#340C2312yes—
239#340C2312yes—
240#340C2314yes—
241#340C2314yes—
242#340C2314yes—
243#340C2314yes—
244#336C2314yes—
245#336C2314yes—
246C25—21no—
247C25C2×D411yescharacteristic
248C22×D4—22no—
249C22×D4—28no—
250C22×D4—22no—
251C22×D4—21no—
252C22×D4—24no—
253C22×D4—24no—
254C22×D4—22no—
255C22×D4—82no—
256C22×D4—82no—
257C22×D4C22×C414yes—
258C22×D4C2412yes—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—22no—
264C23×C4—28no—
265C23×C4—21no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—82no—
271C23×C4—82no—
272C23×C4C22×C414yes—
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4#4114yes—
279C23×C4C2411yescharacteristic
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282C2×M16—24no—
283C2×M16—24no—
284C2×M16C22×C418yes—
285C22×C8—24no—
286C22×C8—24no—
287C22×C8—24no—
288C22×C8C2412yes—
289C22×C8C2412yes—
290C22×C8C2414yes—
291#121—28no—
292#121—28no—
293#121—24no—
294#121—24no—
295#121C22×C418yes—
296#121C22×C418yes—
297C4×D4—28no—
298C4×D4—28no—
299C4×D4—44no—
300C4×D4—44no—
301C4×D4—84no—
302C4×D4—84no—
303#117—28no—
304#117—28no—
305#117—24no—
306#117—24no—
307#117—24no—
308#117—24no—
309#117—24no—
310#117—28no—
311#117—28no—
312#117—24no—
313#117—24no—
314#117C22×C418yes—
315#117C22×C418yes—
316#117#4118yes—
317C2×C4⋊C4—28no—
318C2×C4⋊C4—28no—
319C2×C4⋊C4—28no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—28no—
333C2×C4⋊C4—28no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4C22×C414yes—
337C2×C4⋊C4C22×C414yes—
338C2×C4⋊C4C22×C414yes—
339C2×C4⋊C4C2×D412yes—
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4#4118yes—
346C2×C4⋊C4C2411yescharacteristic
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2414yes—
354C2×C22⋊C4—28no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—28no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—28no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—48no—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C42—28no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—28no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—24no—
387C2×C42—24no—
388C2×C42—24no—
389C2×C42—24no—
390C2×C42—84no—
391C2×C42—84no—
392C2×C42C2×D412yes—
393C2×C42C2×D412yes—
394C2×C42C2412yes—
395C2×C42C2412yes—
396#107—28no—
397#107C22×C4116yescomplemented
398#106—28no—
399#106C22×C4116yescomplemented
400#102—28no—
401#102—28no—
402#102C22×C4116yescomplemented
403#102C22×C4116yescomplemented
404C22⋊C8—22no—
405C22⋊C8—22no—
406C22⋊C8—24no—
407C22⋊C8C22×C418yes—
408C22⋊C8C22×C418yes—
409#97—28no—
410C4×C8—28no—
411#95—24no—
412#95—24no—
413#95—24no—
414#95—24no—
415#95—21no—
416#95—21no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—21no—
422#95—21no—
423C24—22no—
424C24—22no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—24no—
429C24—41no—
430C24—41no—
431C24—42no—
432C24—42no—
433C24—81no—
434C24—81no—
435C24—81no—
436C24—81no—
437C24C4×D414yes—
438C24C22×D411yescharacteristic
439C24C22×D411yescharacteristic
440C24C22×D411yescharacteristic
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—24no—
444C2×D4—216no—
445C2×D4—24no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—48no—
453C2×D4—82no—
454C2×D4—82no—
455C2×D4—816no—
456C2×D4C23×C414yes—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—216no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—216no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—28no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—24no—
480C22×C4—28no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—82no—
498C22×C4—82no—
499C22×C4—82no—
500C22×C4—82no—
501C22×C4—82no—
502C22×C4—82no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4—81no—
506C22×C4—81no—
507C22×C4—816no—
508C22×C4C4×D414yes—
509C22×C4C4×D414yes—
510C22×C4C4×D414yes—
511C22×C4C23×C412yes—
512C22×C4C23×C412yes—
513C22×C4C23×C412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4114yes—
525C22×C4C2×#4114yes—
526C22×C4C2511yescharacteristic
527M16—216no—
528C2×C8—24no—
529C2×C8—24no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—48no—
537C2×C8C23×C418yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—28no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—82no—
557C4⋊C4—82no—
558C4⋊C4#12314yes—
559C4⋊C4#12314yes—
560C4⋊C4C23×C414yes—
561C4⋊C4C23×C414yes—
562C4⋊C4C23×C414yes—
563C4⋊C4C2×#4118yes—
564C22⋊C4—28no—
565C22⋊C4—28no—
566C22⋊C4—24no—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—81no—
582C22⋊C4—81no—
583C22⋊C4#12318yes—
584C42—28no—
585C42—28no—
586C42—24no—
587C42—24no—
588C42—24no—
589C42—42no—
590C42—42no—
591C42—84no—
592C42—84no—
593C42—84no—
594C42—84no—
595C42—82no—
596C42—82no—
597C42C2×#4118yes—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—28no—
611C23—28no—
612C23—21no—
613C23—21no—
614C23—24no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—48no—
627C23—84no—
628C23—84no—
629C23—162no—
630C23—162no—
631C23—162no—
632C23—162no—
633C23C2×C4×D412yes—
634C23C2×C4×D412yes—
635C23C2×C4×D412yes—
636C23C2×#12312yes—
637C23#52512yes—
638C23#57612yes—
639C23#57712yes—
640C23C23×D411yescharacteristic
641D4—28no—
642D4—416no—
643D4—44no—
644D4—48no—
645D4—88no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—28no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—28no—
660C2×C4—28no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—28no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—48no—
672C2×C4—48no—
673C2×C4—48no—
674C2×C4—416no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—48no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—88no—
697C2×C4—84no—
698C2×C4—88no—
699C2×C4—164no—
700C2×C4—164no—
701C2×C4C2×C4×D412yes—
702C2×C4C2×C4×D412yes—
703C2×C4C2×C4×D412yes—
704C2×C4C4×#4118yes—
705C2×C4C2×#12314yes—
706C2×C4C2×#12314yes—
707C2×C4C2×#12312yes—
708C2×C4#52512yes—
709C2×C4#52918yes—
710C2×C4C24×C411yescharacteristic
711C2×C4C22×#4112yes—
712C2×C4C22×#4112yes—
713C2×C4C22×#4111yescharacteristic
714C8—28no—
715C8—42no—
716C8—42no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—416no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—168no—
745C22C4×#12314yes—
746C22#294614yes—
747C22C22×C4×D411yescharacteristic
748C22C22×#12311yescharacteristic
749C22C2×#52511yescharacteristic
750C22C2×#57611yescharacteristic
751C22C2×#57711yescharacteristic
752C22#358511yescharacteristic
753C22#358611yescharacteristic
754C4—24no—
755C4—24no—
756C4—22no—
757C4—22no—
758C4—44no—
759C4—42no—
760C4—42no—
761C4—48no—
762C4—44no—
763C4—44no—
764C4—81no—
765C4—81no—
766C4—81no—
767C4—81no—
768C4C4×#12314yes—
769C4C2×C4×#4112yes—
770C4C2×#52912yes—
771C2—24no—
772C2—24no—
773C2—42no—
774C2—84no—
775C2C2×C4×#12311yescharacteristic
776C2C2×#294611yescharacteristic
777C2#6017011yescharacteristic
778C2#6052111yescharacteristic
779C2#6052511yescharacteristic
780C2#6057811yescharacteristic
781C2#6058211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2274C2semidirect
4. #21590C2semidirect
5. #21588C2semidirect
6. #21580C2semidirect
7. #21578C2semidirect
8. C4×#481C2semidirect
9. C4×#480C2semidirect
10. #21063C2semidirect
11. #21036C2semidirect
13. #20844C2semidirect
14. #20699C2semidirect
15. #20453C2semidirect
16. #20416C2semidirect
17. #20379C2semidirect
23. #3094C4semidirect
53. #2274C22semidirect
56. C2×C4×C4⋊C4C22semidirect
57. C2×C4×C4⋊C4C22semidirect
59. #1926C22semidirect
60. #1926C22semidirect
61. #1925C22semidirect
62. #1925C22semidirect
63. #1921C22semidirect
64. #1920C22semidirect
65. #1919C22semidirect
66. #1918C22semidirect
70. #1853C22semidirect
71. #1853C22semidirect
72. #1852C22semidirect
73. #1852C22semidirect
74. #1825C22semidirect
75. #1825C22semidirect
76. #1824C22semidirect
77. #1824C22semidirect
78. #1823C22semidirect
79. #1823C22semidirect
80. #1776C22semidirect
81. #1776C22semidirect
82. C4×#107C22semidirect
83. C4×#106C22semidirect
84. #1762C22semidirect
85. #1762C22semidirect
86. C4×#102C22semidirect
87. C4×#102C22semidirect
88. #1750C22semidirect
89. #1749C22semidirect
90. C4×C22⋊C8C22semidirect
119. C2×#117C2×C4semidirect
150. #482C2×C4semidirect
151. #481C2×C4semidirect
152. #480C2×C4semidirect
154. #428C2×C4semidirect
159. #418C2×C4semidirect
165. #407C2×C4semidirect
397. #107C22×C4semidirect
399. #106C22×C4semidirect
402. #102C22×C4semidirect
403. #102C22×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#30942
#342042
C2×#22742
#215902
#215882
#215802
#215782
C4×#4812
C4×#4802
#210632
#210362
C2×#18742
#208442
#206992
#204532
#204162
#203792