Finite Group Databasebeta

← #72318882

Subgroups — #72318882

Order 1024.

1102 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#494968C211yesmaximal, characteristic
2C2×#12078C211yesmaximal, characteristic
3C2×#12067C211yesmaximal, characteristic
4#184003C211yesmaximal, characteristic, complemented
5#183975C211yesmaximal, characteristic, complemented
6#129179C211yesmaximal, characteristic, complemented
7#129177C211yesmaximal, characteristic, complemented
8#129127C211yesmaximal, characteristic, complemented
9#128738C211yesmaximal, characteristic, complemented
10#128719C211yesmaximal, characteristic, complemented
11#128719C211yesmaximal, characteristic, complemented
12#128688C211yesmaximal, characteristic, complemented
13#128603C211yesmaximal, characteristic, complemented
14C4×#1333C211yesmaximal, characteristic, complemented
15#126534C211yesmaximal, characteristic, complemented
16C2×#2177C2211yescharacteristic
17#21275C2211yescharacteristic
18#20558—21no—
19C42×D8C2211yescharacteristic
20#20495—21no—
21C2×#1594C2211yescharacteristic
22C2×#1580C2211yescharacteristic
23C2×#1580C2211yescharacteristic
24C2×#1580C2211yescharacteristic
25#13131C411yescharacteristic
26#13130C411yescharacteristic
27#13111C411yescharacteristic
28#13110C411yescharacteristic
29#13012C411yescharacteristic
30#13012C411yescharacteristic
31#12937C411yescharacteristic
32#12935C411yescharacteristic
33#12674C2211yescharacteristic
34#12637C2211yescharacteristic
35#12637C2211yescharacteristic
36#12591C2211yescharacteristic
37C4×#346C2211yescharacteristic
38#12078C418yescomplemented
39#12067C418yescomplemented
40C2×#1368C2211yescharacteristic
41C2×#1368C2211yescharacteristic
42C2×#1333C2211yescharacteristic
43C2×#1333C2211yescharacteristic
44C2×#1333C2211yescharacteristic
45C2×#1333C2211yescharacteristic
46C2×#1313C2211yescharacteristic
47C2×#1313C2211yescharacteristic
48C2×#1313C2211yescharacteristic
49C2×#1313C2211yescharacteristic
50#8287C2211yescharacteristic
51#8287C2211yescharacteristic
52#8287C2211yescharacteristic
53#8284C2211yescharacteristic
54#8273C2211yescharacteristic
55C4×#334C2211yescharacteristic
56#8212—21no—
57#8204—21no—
58#8202—21no—
59#8202—21no—
60#8183—21no—
61#8172—21no—
62#7842C2211yescharacteristic
63#7178C2211yescharacteristic
64#7178C2211yescharacteristic
65#7178C2211yescharacteristic
66#7178C2211yescharacteristic
67#7156C2211yescharacteristic
68#7156C2211yescharacteristic
69C22×D16C2×C411yescharacteristic
70C2×C4×D8C2×C411yescharacteristic
71C2×C4×D8C2×C411yescharacteristic
72C2×C4×D8C2311yescharacteristic
73C2×C4×D8C2311yescharacteristic
74C2×#436—21no—
75C2×C8×D4—21no—
76C2×C8×D4—21no—
77C2×C8×D4—21no—
78C2×#405—41no—
79#2293—21no—
80C42×D4—21no—
81#2177C2×C414yes—
82#2177C2×C414yes—
83C2×#367C2×C411yescharacteristic
84C2×#367C2×C411yescharacteristic
85C2×#366C2×C411yescharacteristic
86C2×#357C2×C411yescharacteristic
87C2×#357C2×C411yescharacteristic
88C2×#357C2×C411yescharacteristic
89C2×#357C2×C411yescharacteristic
90C2×#357C2×C411yescharacteristic
91C2×#357C2×C411yescharacteristic
92C2×#346—21no—
93C2×#346C2311yescharacteristic
94C2×#346C2311yescharacteristic
95C2×#346C2311yescharacteristic
96C2×#346C2311yescharacteristic
97C2×C4×C16—21no—
98#1970C2×C411yescharacteristic
99#1970C2×C411yescharacteristic
100#1942C2×C411yescharacteristic
101#1942C2×C411yescharacteristic
102#1934—21no—
103#1934—21no—
104C4×#107C2×C411yescharacteristic
105C4×#107C2×C411yescharacteristic
106C4×#107C2311yescharacteristic
107C4×#107C2311yescharacteristic
108#1770—21no—
109#1770—21no—
110#1770—21no—
111C8×C4⋊C4—21no—
112#1767—21no—
113C4×C4⋊C8—21no—
114C4×#102—21no—
115C4×#102—21no—
116C4×#102—21no—
117C4×#102—21no—
118#1753—41no—
119#1752—41no—
120#1752—41no—
121#1752—41no—
122#1750—41no—
123#1749—41no—
124#1744D411yescharacteristic
125C2×#336—41no—
126C4×#97D411yescharacteristic
127C42×C8C2311yescharacteristic
128#1594—22no—
129#1594C2×C414yescomplemented
130#1580—22no—
131#1580—22no—
132#1580—22no—
133#1580C2×C414yes—
134#1580C2×C414yes—
135#1580C2×C414yescomplemented
136C2×#334C2311yescharacteristic
137C2×#334C2311yescharacteristic
138C2×#334C2311yescharacteristic
139C2×#334C2311yescharacteristic
140C2×D4⋊C8—21no—
141C2×D4⋊C8—21no—
142C2×D4⋊C8—21no—
143C2×D4⋊C8—21no—
144C2×#322D411yescharacteristic
145C2×#322D411yescharacteristic
146C2×#322C2311yescharacteristic
147C2×#322C2311yescharacteristic
148#1380C2×C411yescharacteristic
149#1380C2×C411yescharacteristic
150#1380C2×C411yescharacteristic
151#1380C2×C411yescharacteristic
152#1380C2×C411yescharacteristic
153#1380C2×C411yescharacteristic
154#1374C2×C411yescharacteristic
155#1374C2×C411yescharacteristic
156#1374C2×C411yescharacteristic
157#1374C2×C411yescharacteristic
158#1368C2×C414yescomplemented
159#1368C2×C414yescomplemented
160#1333C2×C414yes—
161#1333C2×C414yes—
162#1333C2×C414yescomplemented
163#1333C2×C414yescomplemented
164#1313—22no—
165#1313—22no—
166#1313C2×C414yescomplemented
167#1313C2×C414yescomplemented
168#1279—21no—
169#1279—21no—
170#1279—21no—
171#1279—21no—
172#1277—21no—
173#1277—21no—
174C22×D8C22×C411yescharacteristic
175C22×D8C22×C411yescharacteristic
176C22×M16—41no—
177C23×C8—41no—
178C23×C8—41no—
179C23×C8—41no—
180C2×C4×D4—21no—
181C2×C4×D4—21no—
182C2×C4×D4—21no—
183C2×C4×D4—21no—
184C2×#117—41no—
185C22×C42—41no—
186C2×D16—22no—
187C2×D16—22no—
188C2×D16C4214yes—
189C22×C16—21no—
190C22×C16—21no—
191C22×C16C22×C411yescharacteristic
192C22×C16C22×C411yescharacteristic
193C22×C16C22×C411yescharacteristic
194C22×C16C22×C411yescharacteristic
195C4×D8—22no—
196C4×D8—22no—
197C4×D8—21no—
198C4×D8—21no—
199C4×D8—21no—
200C4×D8—21no—
201C4×D8—41no—
202C4×D8—41no—
203C4×D8C22×C412yes—
204C4×D8C22×C412yes—
205C4×D8C22×C412yes—
206C4×D8C22×C412yes—
207#436—24no—
208#436—42no—
209C8×D4—24no—
210C8×D4—24no—
211C8×D4—24no—
212C8×D4—42no—
213C8×D4—42no—
214C8×D4—42no—
215C2×#107C22×C411yescharacteristic
216C2×#107C22×C411yescharacteristic
217C2×#107C22×C411yescharacteristic
218C2×#107C22×C411yescharacteristic
219C2×#107C22×C411yescharacteristic
220C2×#107C22×C411yescharacteristic
221C2×C4⋊C8—21no—
222C2×C4⋊C8—21no—
223C2×C4⋊C8—21no—
224C2×C4⋊C8—21no—
225C2×#102—21no—
226C2×#102—21no—
227C2×#102—21no—
228C2×#102—21no—
229C2×#102—21no—
230C2×#102—21no—
231C2×C22⋊C8—41no—
232C2×C22⋊C8—41no—
233C2×C22⋊C8—41no—
234C2×C22⋊C8—41no—
235#405—84no—
236C2×#97—21no—
237C2×#97—21no—
238C2×#97—41no—
239C2×#97—41no—
240C2×#97—41no—
241C2×#97—41no—
242C2×C4×C8—41no—
243C2×C4×C8—41no—
244C2×C4×C8C22×C411yescharacteristic
245C2×C4×C8C22×C411yescharacteristic
246C2×C4×C8C2×D411yescharacteristic
247C2×C4×C8C2×D411yescharacteristic
248C2×C4×C8C2×D411yescharacteristic
249C2×C4×C8C2×D411yescharacteristic
250C2×C4×C8C2×D411yescharacteristic
251C2×C4×C8#4111yescharacteristic
252C2×C4×C8#4111yescharacteristic
253C2×C4×C8C2411yescharacteristic
254#390—21no—
255#390—21no—
256#389—21no—
257#389—21no—
258#388—41no—
259#388—41no—
260C4×C4⋊C4—21no—
261C4×C4⋊C4—21no—
262C4×C4⋊C4—21no—
263C4×C4⋊C4—21no—
264C4×C22⋊C4—41no—
265C4×C22⋊C4—41no—
266C4×C22⋊C4—41no—
267C4×C22⋊C4—41no—
268C43C2×D411yescharacteristic
269#367—41no—
270#367C4214yes—
271#366—41no—
272#357—22no—
273#357—22no—
274#357—41no—
275#357—41no—
276#357C4214yes—
277#357C4214yes—
278#346—21no—
279#346—21no—
280#346—21no—
281#346—21no—
282#346—42no—
283#346C22×C412yes—
284#346C22×C412yes—
285#346C22×C412yes—
286#346C22×C412yes—
287C4×C16—42no—
288#340—21no—
289#340—21no—
290#340—21no—
291#340—21no—
292#340—21no—
293#340—21no—
294#336—21no—
295#336—21no—
296#336—41no—
297#336—41no—
298#336—41no—
299#336—41no—
300#336—41no—
301#336—41no—
302#334—21no—
303#334—21no—
304#334—21no—
305#334—21no—
306#334C22×C412yes—
307#334C22×C412yes—
308#334C22×C412yes—
309#334C22×C412yes—
310D4⋊C8—24no—
311D4⋊C8—24no—
312D4⋊C8—24no—
313D4⋊C8—24no—
314#322—41no—
315#322—41no—
316#322C22×C412yes—
317#322C22×C412yes—
318#322#4112yes—
319#322#4112yes—
320C22×D4—21no—
321C22×D4—21no—
322C23×C4—41no—
323C23×C4—41no—
324C23×C4—41no—
325C23×C4—41no—
326C2×D8—21no—
327C2×D8—21no—
328C2×D8—21no—
329C2×D8—21no—
330C2×D8—21no—
331C2×D8—21no—
332C2×D8—21no—
333C2×D8—21no—
334C2×D8C2×C4212yes—
335C2×D8C2×C4212yes—
336C2×D8#13112yes—
337C2×D8#13112yes—
338C2×M16—44no—
339C2×M16—82no—
340C2×M16—82no—
341C22×C8—21no—
342C22×C8—21no—
343C22×C8—21no—
344C22×C8—21no—
345C22×C8—44no—
346C22×C8—44no—
347C22×C8—44no—
348C22×C8—41no—
349C22×C8—41no—
350C22×C8—41no—
351C22×C8—41no—
352C22×C8—82no—
353C22×C8—82no—
354C22×C8—161no—
355C22×C8—161no—
356C22×C8—161no—
357C22×C8—161no—
358C22×C8C4×D411yescharacteristic
359C22×C8C4×D411yescharacteristic
360C22×C8C23×C411yescharacteristic
361C22×C8C2×#4111yescharacteristic
362C4×D4—22no—
363C4×D4—22no—
364C4×D4—22no—
365C4×D4—22no—
366C4×D4—42no—
367C4×D4—42no—
368C4×D4—41no—
369C4×D4—41no—
370C4×D4—41no—
371C4×D4—41no—
372C4×D4—81no—
373C4×D4—81no—
374#117—82no—
375#117—82no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—41no—
383C2×C4⋊C4—41no—
384C2×C22⋊C4—41no—
385C2×C22⋊C4—41no—
386C2×C22⋊C4—41no—
387C2×C22⋊C4—41no—
388C2×C22⋊C4—41no—
389C2×C22⋊C4—41no—
390C2×C22⋊C4—41no—
391C2×C22⋊C4—41no—
392C2×C42—41no—
393C2×C42—41no—
394C2×C42—41no—
395C2×C42—41no—
396C2×C42—161no—
397C2×C42—161no—
398C2×C42C4×D411yescharacteristic
399C2×C42C4×D411yescharacteristic
400C2×C42AGL(1,ℤ/8)11yescharacteristic
401C2×C42AGL(1,ℤ/8)11yescharacteristic
402C2×C42AGL(1,ℤ/8)11yescharacteristic
403C2×C42AGL(1,ℤ/8)11yescharacteristic
404C2×C42C22×D411yescharacteristic
405D16—28no—
406C2×C16—22no—
407C2×C16—22no—
408C2×C16—22no—
409C2×C16—21no—
410C2×C16—21no—
411C2×C16—21no—
412C2×C16—21no—
413C2×C16—21no—
414C2×C16—21no—
415C2×C16—22no—
416C2×C16—21no—
417C2×C16—21no—
418C2×C16—21no—
419C2×C16—21no—
420C2×C16—41no—
421C2×C16—41no—
422C2×C16C2×C4212yes—
423C2×C16C2×C4212yes—
424#107—21no—
425#107—21no—
426#107—21no—
427#107—21no—
428#107—21no—
429#107—21no—
430#107—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107C2×C4212yes—
435#107C2×C4212yes—
436C4⋊C8—22no—
437C4⋊C8—22no—
438C4⋊C8—22no—
439C4⋊C8—22no—
440C4⋊C8—41no—
441C4⋊C8—41no—
442C4⋊C8—41no—
443C4⋊C8—41no—
444#102—22no—
445#102—22no—
446#102—22no—
447#102—22no—
448#102—42no—
449#102—42no—
450#102—81no—
451#102—81no—
452C22⋊C8—44no—
453C22⋊C8—44no—
454C22⋊C8—44no—
455C22⋊C8—44no—
456#97—42no—
457#97—81no—
458#97—82no—
459#97—161no—
460#97—161no—
461#97—161no—
462C4×C8—21no—
463C4×C8—21no—
464C4×C8—21no—
465C4×C8—21no—
466C4×C8—21no—
467C4×C8—21no—
468C4×C8—21no—
469C4×C8—21no—
470C4×C8—21no—
471C4×C8—21no—
472C4×C8—41no—
473C4×C8—41no—
474C4×C8—82no—
475C4×C8—82no—
476C4×C8C4×D412yes—
477C4×C8C4×D412yes—
478C4×C8C4×D412yes—
479C4×C8C4×D412yes—
480C4×C8C23×C411yescharacteristic
481C4×C8C23×C411yescharacteristic
482C4×C8C2×#4111yescharacteristic
483C4×C8C2×#4111yescharacteristic
484#95—41no—
485#95—41no—
486#95—41no—
487#95—41no—
488#95—41no—
489#95—41no—
490C24—41no—
491C24—41no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—41no—
497C2×D4—41no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4—161no—
527C22×C4—161no—
528C22×C4#44211yescharacteristic
529C22×C4#44211yescharacteristic
530C22×C4#44211yescharacteristic
531C22×C4#44211yescharacteristic
532C22×C4C2×C4×D411yescharacteristic
533C22×C4C2×AGL(1,ℤ/8)11yescharacteristic
534C22×C4C2×AGL(1,ℤ/8)11yescharacteristic
535D8—22no—
536D8—22no—
537D8—22no—
538D8—22no—
539D8—22no—
540D8—41no—
541D8—41no—
542D8#40514yescomplemented
543M16—88no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—41no—
557C2×C8—41no—
558C2×C8—41no—
559C2×C8—41no—
560C2×C8—41no—
561C2×C8—41no—
562C2×C8—41no—
563C2×C8—41no—
564C2×C8—42no—
565C2×C8—42no—
566C2×C8—42no—
567C2×C8—42no—
568C2×C8—88no—
569C2×C8—81no—
570C2×C8—81no—
571C2×C8—81no—
572C2×C8—81no—
573C2×C8—81no—
574C2×C8—81no—
575C2×C8—81no—
576C2×C8—81no—
577C2×C8—164no—
578C2×C8—164no—
579C2×C8C22×C4211yescharacteristic
580C2×C8C4×#4111yescharacteristic
581C2×C8C4×#4111yescharacteristic
582C2×C8C4×#4111yescharacteristic
583C2×C8C2×#13111yescharacteristic
584C2×C8C2×#13111yescharacteristic
585C2×C8#56811yescharacteristic
586C2×C8#56811yescharacteristic
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—41no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4—41no—
593C4⋊C4—41no—
594C4⋊C4—41no—
595C4⋊C4—41no—
596C4⋊C4—41no—
597C4⋊C4—41no—
598C4⋊C4—41no—
599C4⋊C4—82no—
600C4⋊C4—82no—
601C22⋊C4—42no—
602C22⋊C4—42no—
603C22⋊C4—42no—
604C22⋊C4—42no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4—82no—
609C22⋊C4—161no—
610C22⋊C4—161no—
611C42—21no—
612C42—21no—
613C42—22no—
614C42—21no—
615C42—21no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—81no—
620C42—81no—
621C42—81no—
622C42—81no—
623C42—161no—
624C42—161no—
625C42C2×C4×D411yescharacteristic
626C42C2×C4×D411yescharacteristic
627C42#57511yescharacteristic
628C42#57511yescharacteristic
629C16—24no—
630C16—22no—
631C16—22no—
632C16—42no—
633C16—41no—
634C16—41no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—81no—
640C23—81no—
641C23—81no—
642C23—81no—
643C23—81no—
644C23—81no—
645C23—81no—
646C23—81no—
647C23—81no—
648C23—81no—
649C23C2×#44211yescharacteristic
650D4—24no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—81no—
657D4—81no—
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—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4—82no—
678C2×C4—82no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4—81no—
693C2×C4—81no—
694C2×C4—81no—
695C2×C4—81no—
696C2×C4—81no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4—164no—
700C2×C4—164no—
701C2×C4AGL(1,ℤ/16)12yes—
702C2×C4C42×D411yescharacteristic
703C2×C4#293311yescharacteristic
704C2×C4#293311yescharacteristic
705C2×C4#294311yescharacteristic
706C2×C4C4×AGL(1,ℤ/8)11yescharacteristic
707C2×C4C4×AGL(1,ℤ/8)11yescharacteristic
708C2×C4C4×AGL(1,ℤ/8)11yescharacteristic
709C2×C4C4×AGL(1,ℤ/8)11yescharacteristic
710C2×C4#295611yescharacteristic
711C2×C4#295611yescharacteristic
712C8—21no—
713C8—21no—
714C8—42no—
715C8—42no—
716C8—42no—
717C8—42no—
718C8—41no—
719C8—41no—
720C8—82no—
721C8—82no—
722C8—82no—
723C8—82no—
724C8C2×#40511yescharacteristic
725C8#287511yescharacteristic
726C8#296811yescharacteristic
727C8#296811yescharacteristic
728C22—44no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—161no—
739C22—161no—
740C22—161no—
741C22—161no—
742C22#1800111yescharacteristic
743C22#1800111yescharacteristic
744C22C4×#44211yescharacteristic
745C22C2×AGL(1,ℤ/16)11yescharacteristic
746C22#3346811yescharacteristic
747C22#3346911yescharacteristic
748C22#3347111yescharacteristic
749C4—21no—
750C4—21no—
751C4—21no—
752C4—21no—
753C4—22no—
754C4—41no—
755C4—41no—
756C4—41no—
757C4—82no—
758C4—82no—
759C4—161no—
760C4—161no—
761C4—161no—
762C4—161no—
763C4#1800211yescharacteristic
764C4#1800211yescharacteristic
765C4#2049311yescharacteristic
766C4#2051211yescharacteristic
767C2—84no—
768C2—162no—
769C2#18430011yescharacteristic
770C2#48404011yescharacteristic
771C2#48404111yescharacteristic
772C2#48405111yescharacteristic
773C2#48405311yescharacteristic
774C2C4×AGL(1,ℤ/16)11yescharacteristic
775C2#49325111yescharacteristic
subgroupG/H
center, socleC23C2×#442
commutatorC2×C8C22×C42
Frattini, cosocleC2×C4×C8C24
prime radicalC22×D16C2×C4
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C43 ◁ #7842 ◁ G
LECSG ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #184003C2semidirect
5. #183975C2semidirect
6. #129179C2semidirect
7. #129177C2semidirect
8. #129127C2semidirect
9. #128738C2semidirect
10. #128719C2semidirect
11. #128719C2semidirect
12. #128688C2semidirect
13. #128603C2semidirect
14. C4×#1333C2semidirect
15. #126534C2semidirect
38. #12078C4semidirect
39. #12067C4semidirect
129. #1594C2×C4semidirect
135. #1580C2×C4semidirect
158. #1368C2×C4semidirect
159. #1368C2×C4semidirect
162. #1333C2×C4semidirect
163. #1333C2×C4semidirect
166. #1313C2×C4semidirect
167. #1313C2×C4semidirect
542. D8#405semidirect

Maximal subgroups

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

subgroupindex
#4949682
C2×#120782
C2×#120672
#1840032
#1839752
#1291792
#1291772
#1291272
#1287382
#1287192
#1286882
#1286032
C4×#13332
#1265342