Finite Group Databasebeta

← #10849282

Subgroups — #10849282

Order 768.

1324 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5553C211yesmaximal, characteristic
2C2×#4891C211yesmaximal, characteristic, complemented
3C2×#4764C211yesmaximal, characteristic, complemented
4#76078C211yesmaximal, characteristic, complemented
5C3×#1862C211yesmaximal, characteristic, complemented
6#71607C211yesmaximal, characteristic, complemented
7#70638C211yesmaximal, characteristic, complemented
8#70211C211yesmaximal, characteristic, complemented
9#70177C211yesmaximal, characteristic, complemented
10#70161C211yesmaximal, characteristic, complemented
11#69627C211yesmaximal, characteristic, complemented
12#68895C211yesmaximal, characteristic, complemented
13#68782C211yesmaximal, characteristic, complemented
14#68629C211yesmaximal, characteristic, complemented
15#68620C211yesmaximal, characteristic, complemented
16#25655—31nomaximal, Sylow
17C22×#235—21no—
18C2×C3×C4×D4C2211yescharacteristic
19C2×#940C2211yescharacteristic
20C2×#940C2211yescharacteristic
21C2×#930—21no—
22#5553—24no—
23#5553—24no—
24C2×#893C2211yescharacteristic
25C2×#893C2211yescharacteristic
26C2×#890C2211yescharacteristic
27C2×#884—21no—
28C2×#884—21no—
29C2×#874C2211yescharacteristic
30C2×C4×Dic6C2211yescharacteristic
31C2×C3×#107C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C3×#389C2211yescharacteristic
35C2×#832C2211yescharacteristic
36C2×#832C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×#821C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×#821C2211yescharacteristic
41C2×#815C2211yescharacteristic
42C2×Dic3⋊C8C2211yescharacteristic
43#4984—21no—
44#4984C2211yescharacteristic
45#4979—21no—
46Dic3×C4⋊C4C2211yescharacteristic
47#4972C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#809C2211yescharacteristic
50C2×#809C2211yescharacteristic
51C2×#809C2211yescharacteristic
52C2×#808C2211yescharacteristic
53#4928C2211yescharacteristic
54#4891—24no—
55#4764—24no—
56#4657—21no—
57#4647—21no—
58C3×#340C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#550—31no—
65C2×#490—31no—
66C2×#478—31no—
67#2584—31no—
68#2041—31no—
69#2041—31no—
70#2041—31no—
71#2041—31no—
72#1985—31no—
73#1982—31no—
74#1864—31no—
75#1864—31no—
76#1862—31no—
77#1862D311yescharacteristic, complemented
78#1762—31no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C22×#67—21no—
82C22×#67—21no—
83C22×#67—21no—
84C22×#67—21no—
85C2×#235—28no—
86C2×#235—44no—
87C2×#235—44no—
88C22×D12—21no—
89C22×D12—21no—
90C22×D12C2311yescharacteristic
91C22×D12C2311yescharacteristic
92C22×C4×D3—21no—
93C22×C4×D3—21no—
94C22×Dic6D411yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C22×C3×C8C2311yescharacteristic
97C3×C4×D4—22no—
98C3×C4×D4—22no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C22⋊C4—21no—
104C2×C3×C42C2311yescharacteristic
105#940—22no—
106#940—22no—
107#940—22no—
108#940D414yes—
109#930—28no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3D411yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4D411yescharacteristic
121C2×Dic3⋊C4D411yescharacteristic
122C2×C4×Dic3—21no—
123C2×C4×Dic3C2311yescharacteristic
124C2×C4×Dic3C2311yescharacteristic
125C22×C3⋊C8C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127#893—22no—
128#893—22no—
129#893—22no—
130#893D414yes—
131#890—22no—
132#890—22no—
133#884—28no—
134#884—28no—
135#874—22no—
136#874—22no—
137C4×Dic6—22no—
138C4×Dic6—22no—
139C3×#107—22no—
140C3×#102—22no—
141C3×#102—22no—
142C3×#95—21no—
143#832—22no—
144#832—22no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149#821—22no—
150#821—22no—
151#821—22no—
152#821—22no—
153#815—22no—
154Dic3⋊C8—22no—
155#809—22no—
156#809—22no—
157#809—22no—
158#809—22no—
159#808—22no—
160C22×#41—61no—
161#550—64no—
162#550—64no—
163C2×#127—31no—
164C2×#127—31no—
165C2×#127—31no—
166C2×#125—31no—
167C2×#121—61no—
168C2×#121—61no—
169C2×#121—61no—
170C2×C4×Q8—31no—
171C2×C4×D4—31no—
172C2×C4×D4—31no—
173C2×C4×D4C2×D311yescharacteristic
174#490—64no—
175#478—64no—
176C2×#107C2×D311yescharacteristic
177C2×#106—31no—
178C2×C4⋊C8—31no—
179C2×#102—31no—
180C2×#102—31no—
181C2×#102—31no—
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×#102—31no—
186C2×#102—31no—
187C2×#102—31no—
188C2×#102—31no—
189C2×#102C2×D311yescharacteristic
190C2×#102C2×D311yescharacteristic
191C2×#97—31no—
192#398—61no—
193#395—61no—
194#389—31no—
195#389—31no—
196#389—31no—
197#389—61no—
198#389—61no—
199#389C2×D311yescharacteristic
200C4×C4⋊C4—31no—
201#340—31no—
202#340C2×D311yescharacteristic
203#336—31no—
204#336—31no—
205#336—31no—
206#336C2×D311yescharacteristic
207C24×C3—21no—
208C23×D3—21no—
209C23×D3—21no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4C2×D412yes—
216C22×C3×C4—24no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—42no—
221C22×C3×C4—42no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C2×#67—24no—
226C2×#67—24no—
227C2×#67—24no—
228C2×#67—24no—
229C2×#67—42no—
230C2×#67—42no—
231C2×#67—42no—
232C2×#67—42no—
233C2×#67—81no—
234C2×#67—81no—
235C2×#67—81no—
236C2×#67—81no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3C2×D411yescharacteristic
240C22×Dic3C2×D411yescharacteristic
241C22×Dic3C2×D411yescharacteristic
242C22×Dic3C2×D411yescharacteristic
243#235—432no—
244C2×D12—21no—
245C2×D12—21no—
246C2×D12—21no—
247C2×D12—21no—
248C2×D12—21no—
249C2×D12—21no—
250C2×D12—21no—
251C2×D12—21no—
252C2×D12—24no—
253C2×D12—21no—
254C2×D12—21no—
255C2×D12—24no—
256C2×D12—42no—
257C2×D12—42no—
258C2×D12—81no—
259C2×D12—81no—
260C2×D12C2×D412yes—
261C2×D12C2×D412yes—
262C2×C4×D3—24no—
263C2×C4×D3—24no—
264C2×C4×D3—42no—
265C2×C4×D3—42no—
266C2×C4×D3—42no—
267C2×C4×D3—42no—
268C2×Dic6—22no—
269C2×Dic6—22no—
270C2×Dic6—22no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C2×C3×C8—21no—
275C2×C3×C8—21no—
276C2×C3×C8—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—42no—
282C3×C4⋊C4C2×D412yes—
283C3×C4⋊C4#4112yescomplemented
284C3×C22⋊C4—24no—
285C3×C42—21no—
286C3×C42—21no—
287(C2×D3)⋊C4—24no—
288(C2×D3)⋊C4—24no—
289C4⋊Dic3—21no—
290C4⋊Dic3—22no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—42no—
294C4⋊Dic3—81no—
295C4⋊Dic3#4112yescomplemented
296Dic3⋊C4—22no—
297Dic3⋊C4—22no—
298Dic3⋊C4—42no—
299Dic3⋊C4—42no—
300Dic3⋊C4—81no—
301C4×Dic3—21no—
302C4×Dic3—21no—
303C4×Dic3—81no—
304C4×Dic3C2×D412yes—
305C4×Dic3C2×D412yes—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8—21no—
312C2×#41—68no—
313C2×#41—124no—
314C2×#41—124no—
315C22×Q8—31no—
316C22×D4—31no—
317C22×D4—31no—
318C22×D4—61no—
319C22×D4—61no—
320C22×D4—61no—
321C22×D4—61no—
322C22×D4—61no—
323C22×D4—61no—
324C22×D4C22×D311yescharacteristic
325C23×C4—21no—
326C23×C4—61no—
327C23×C4—61no—
328C22×C8—31no—
329C22×C8—31no—
330C22×C8C22×D311yescharacteristic
331C22×C8C22×D311yescharacteristic
332#127—34no—
333#127—62no—
334#127—62no—
335#127—62no—
336#127—62no—
337#127—62no—
338#125—62no—
339#125—62no—
340#121—68no—
341#121—68no—
342#121—68no—
343C4×Q8—62no—
344C4×Q8—62no—
345C4×D4—22no—
346C4×D4—22no—
347C4×D4—34no—
348C4×D4—62no—
349C4×D4—62no—
350C4×D4—62no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4C22×D311yescharacteristic
363C2×C4⋊C4C22×D311yescharacteristic
364C2×C4⋊C4C22×D311yescharacteristic
365C2×C22⋊C4—21no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C42—31no—
369C2×C42—31no—
370C2×C42—61no—
371C2×C42C22×D311yescharacteristic
372#107—22no—
373#106—62no—
374C4⋊C8—62no—
375#102—22no—
376#102—22no—
377#102—62no—
378#102—62no—
379#102—62no—
380#102—62no—
381#102—62no—
382#102—62no—
383#102—62no—
384#102—62no—
385#102—62no—
386#102—62no—
387#97—62no—
388#95—21no—
389#95—61no—
390#95—61no—
391#95—61no—
392#95—61no—
393C23×C3—22no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3—41no—
400C23×C3C22×D411yescharacteristic
401C22×D3—22no—
402C22×D3—22no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3—41no—
413C22×D3—41no—
414C22×D3—41no—
415C3×D4—22no—
416C3×D4—22no—
417C3×D4—41no—
418C3×D4—41no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—48no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4AGL(1,ℤ/8)12yes—
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C22×D411yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×C3×C42−1+411yescharacteristic
440C2×C3×C42−1+411yescharacteristic
441#67—48no—
442#67—48no—
443#67—84no—
444#67—84no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—22no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3#12012yes—
461C2×Dic3#12012yes—
462C2×Dic3AGL(1,ℤ/8)12yes—
463D12—22no—
464D12—22no—
465D12—22no—
466D12—22no—
467D12—48no—
468D12—41no—
469D12—41no—
470D12—41no—
471D12—41no—
472D12—84no—
473C4×D3—48no—
474C4×D3—48no—
475Dic6—28no—
476C3×C8—41no—
477C3×C8—41no—
478C3⋊C8—41no—
479C3⋊C8—41no—
480C24—21no—
481C24—61no—
482C24—61no—
483#41—1232no—
484C2×Q8—62no—
485C2×Q8—62no—
486C2×Q8—62no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—32no—
493C2×D4—32no—
494C2×D4—64no—
495C2×D4—64no—
496C2×D4—64no—
497C2×D4—64no—
498C2×D4—64no—
499C2×D4—64no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4—61no—
503C2×D4—61no—
504C2×D4—61no—
505C2×D4—61no—
506C2×D4—61no—
507C2×D4—61no—
508C2×D4—61no—
509C2×D4—61no—
510C2×D4—122no—
511C2×D4—122no—
512C2×D4—122no—
513C2×D4—122no—
514C2×D4—122no—
515C2×D4—122no—
516C2×D4—241no—
517C2×D4—241no—
518C2×D4—241no—
519C2×D4—241no—
520C2×D4—241no—
521C2×D4—241no—
522C2×D4D3×D412yes—
523C22×C4—24no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—31no—
528C22×C4—31no—
529C22×C4—31no—
530C22×C4—31no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—64no—
534C22×C4—64no—
535C22×C4—61no—
536C22×C4—61no—
537C22×C4—122no—
538C22×C4—122no—
539C22×C4—122no—
540C22×C4—122no—
541C22×C4D3×D411yescharacteristic
542C22×C4D3×D411yescharacteristic
543C22×C4C23×D311yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—61no—
551C2×C8—61no—
552C2×C8—61no—
553C2×C8—61no—
554C2×C8—61no—
555C2×C8—61no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—32no—
561C4⋊C4—42no—
562C4⋊C4—62no—
563C4⋊C4—62no—
564C4⋊C4—62no—
565C4⋊C4—61no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—122no—
569C4⋊C4—122no—
570C4⋊C4—122no—
571C4⋊C4—241no—
572C4⋊C4—241no—
573C4⋊C4#23512yescomplemented
574C4⋊C4D3×D412yes—
575C22⋊C4—24no—
576C22⋊C4—64no—
577C22⋊C4—64no—
578C42—21no—
579C42—21no—
580C42—32no—
581C42—32no—
582C42—61no—
583C42—61no—
584C42—241no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3—42no—
588C22×C3—81no—
589C22×C3—81no—
590C22×C3—81no—
591C22×C3—81no—
592C22×C3C2×#12011yescharacteristic
593C22×C3#54811yescharacteristic
594C22×C3#54811yescharacteristic
595C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
596C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
597C22×C3#57611yescharacteristic
598C22×C3#57711yescharacteristic
599C2×D3—42no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—42no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—81no—
606C2×D3—81no—
607C2×D3—81no—
608C2×D3—81no—
609C2×D3—81no—
610C2×D3—81no—
611C2×D3—81no—
612C2×D3—81no—
613C3×C4—22no—
614C3×C4—42no—
615C3×C4—42no—
616C3×C4—41no—
617C3×C4—81no—
618C3×C4#53211yescharacteristic
619C3×C4#53611yescharacteristic
620C3×C4#54711yescharacteristic
621C3×C4#54711yescharacteristic
622Dic3—22no—
623Dic3—22no—
624Dic3—22no—
625Dic3—42no—
626Dic3—41no—
627Dic3—81no—
628C23—22no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—41no—
635C23—62no—
636C23—62no—
637C23—121no—
638C23—121no—
639C23—121no—
640C23—121no—
641C23—121no—
642C23—121no—
643C23—121no—
644C23—121no—
645C23—121no—
646C23—121no—
647C23—121no—
648C23—121no—
649C23C2×D3×D411yescharacteristic
650Q8—68no—
651D4—22no—
652D4—22no—
653D4—41no—
654D4—41no—
655D4—62no—
656D4—62no—
657D4—62no—
658D4—62no—
659D4—128no—
660D4—128no—
661D4—128no—
662D4—121no—
663D4—121no—
664D4—121no—
665D4—121no—
666D4—244no—
667D4—244no—
668D4—244no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—32no—
677C2×C4—32no—
678C2×C4—32no—
679C2×C4—48no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—62no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—128no—
698C2×C4—128no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—121no—
704C2×C4#91112yes—
705C2×C4C2×#23511yescharacteristic
706C2×C4C2×D3×D411yescharacteristic
707C2×C4C2×D3×D411yescharacteristic
708C2×C4#100711yescharacteristic
709C2×C4D3×#4111yescharacteristic
710C2×C4#101011yescharacteristic
711C8—41no—
712C8—41no—
713C8—121no—
714C8—121no—
715C2×C3—82no—
716C2×C3#243211yescharacteristic
717C2×C3#300311yescharacteristic
718C2×C3#301211yescharacteristic
719C2×C3#336611yescharacteristic
720C2×C3#336611yescharacteristic
721C2×C3#336811yescharacteristic
722C2×C3#336811yescharacteristic
723D3—82no—
724D3—82no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—122no—
733C22—122no—
734C22—122no—
735C22—122no—
736C22—122no—
737C22—122no—
738C22—241no—
739C22—241no—
740C22—241no—
741C22—241no—
742C22—241no—
743C22—241no—
744C22—241no—
745C22—241no—
746C22#555211yescharacteristic
747C22D3×#12011yescharacteristic
748C22#563311yescharacteristic
749C22C2×#91111yescharacteristic
750C22#576911yescharacteristic
751C22D3×AGL(1,ℤ/8)11yescharacteristic
752C22#577811yescharacteristic
753C4—22no—
754C4—41no—
755C4—42no—
756C4—42no—
757C4—62no—
758C4—62no—
759C4—62no—
760C4—81no—
761C4—122no—
762C4—121no—
763C4—241no—
764C4#550711yescharacteristic
765C4#554811yescharacteristic
766C4#562811yescharacteristic
767C4#565511yescharacteristic
768C3#2565511yescharacteristic, complemented, Sylow
769C2—82no—
770C2—242no—
771C2—242no—
772C2#7441111yescharacteristic
773C2#7957011yescharacteristic
774C2#7975211yescharacteristic
775C2#8000211yescharacteristic
776C2#8023111yescharacteristic
777C2#8099511yescharacteristic
778C2#8115211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1862C2
socleC23×C3C22×D4
prime radicalC2×#5553C2
hypercenter#1862D3
hypocenterC3#25655
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1862

Complements

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

NH ≅ G/Ntype
2. C2×#4891C2semidirect
3. C2×#4764C2semidirect
4. #76078C2semidirect
5. C3×#1862C2semidirect
6. #71607C2semidirect
7. #70638C2semidirect
8. #70211C2semidirect
9. #70177C2semidirect
10. #70161C2semidirect
11. #69627C2semidirect
12. #68895C2semidirect
13. #68782C2semidirect
14. #68629C2semidirect
15. #68620C2semidirect
77. #1862D3semidirect
283. C3×C4⋊C4#41semidirect
295. C4⋊Dic3#41semidirect
573. C4⋊C4#235semidirect
768. C3#25655semidirect

Maximal subgroups

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

subgroupindex
C2×#55532
C2×#48912
C2×#47642
#760782
C3×#18622
#716072
#706382
#702112
#701772
#701612
#696272
#688952
#687822
#686292
#686202
#256553