Finite Group Databasebeta

← #10823399

Subgroups — #10823399

Order 768.

1188 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5479C211yesmaximal, characteristic
2C4×#924C211yesmaximal, characteristic, complemented
3C2×C4×Dic12C211yesmaximal, characteristic, complemented
4C2×C4×#204C211yesmaximal, characteristic, complemented
5C3×C4×C22⋊C8C211yesmaximal, characteristic, complemented
6#69964C211yesmaximal, characteristic, complemented
7#69962C211yesmaximal, characteristic
8#69936C211yesmaximal, characteristic, complemented
9#69934C211yesmaximal, characteristic
10C4×#816C211yesmaximal, characteristic, complemented
11C4×#821C211yesmaximal, characteristic, complemented
12#68690C211yesmaximal, characteristic, complemented
13#68677C211yesmaximal, characteristic, complemented
14#68634C211yesmaximal, characteristic, complemented
15#68630C211yesmaximal, characteristic, complemented
16#23572—31nomaximal, Sylow
17C22×C3×C42C2211yescharacteristic
18C2×#930C2211yescharacteristic
19C2×#929—21no—
20C2×C4×#67—21no—
21C2×#924C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C22×Dic12C2211yescharacteristic
24C22×#204C2211yescharacteristic
25#5479—24no—
26#5479—24no—
27C2×#876—21no—
28C2×#875C2211yescharacteristic
29C2×C4×D12C2211yescharacteristic
30C2×#872—21no—
31C2×#870C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×C22⋊C8C2211yescharacteristic
35C2×C3×C22⋊C8C2211yescharacteristic
36C2×C3×C4×C8C2211yescharacteristic
37C2×C3×C4×C8C2211yescharacteristic
38#5212C2211yescharacteristic
39#5210—21no—
40C4×#217—21no—
41C2×#821C2211yescharacteristic
42C2×#821C2211yescharacteristic
43C2×#821C2211yescharacteristic
44C2×#818C2211yescharacteristic
45C2×#817C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C2×#816C2211yescharacteristic
48C2×#816C2211yescharacteristic
49C2×#816C2211yescharacteristic
50C2×#816C2211yescharacteristic
51C4×C4⋊Dic3C2211yescharacteristic
52#4933—21no—
53C4×Dic3⋊C4—21no—
54#4929C2211yescharacteristic
55#4928C2211yescharacteristic
56C4×Dic12—24no—
57C4×#204—24no—
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#4551C2211yescharacteristic
61#4551C2211yescharacteristic
62#4551C2211yescharacteristic
63#4551C2211yescharacteristic
64C2×#529—31no—
65C2×C4×Q16—31no—
66C2×C4×SD16—31no—
67C4×C22⋊Q8—31no—
68#2059—31no—
69#2042—31no—
70#2035—31no—
71#2033—31no—
72#2026—31no—
73#2015—31no—
74#2001—31no—
75#2000—31no—
76C4×#103—31no—
77C4×#102—31no—
78C4×C22⋊C8D311yescharacteristic, complemented
79C23×C3×C4D411yescharacteristic
80C23×C3×C4D411yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×#67—21no—
83C22×D12C2311yescharacteristic
84C22×C4×D3—21no—
85C22×Dic6C2311yescharacteristic
86C22×Dic6C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C2×C3×C42—22no—
92C2×C3×C42—22no—
93C2×C3×C42D411yescharacteristic
94C2×C3×C42D411yescharacteristic
95C2×C3×C42C2311yescharacteristic
96C2×C3×C42C2311yescharacteristic
97C2×#217—21no—
98C2×#217—21no—
99C2×#217—21no—
100#930—22no—
101#930—22no—
102#929—28no—
103C4×#67—28no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×C4⋊Dic3C2311yescharacteristic
109C2×C4⋊Dic3C2311yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113#924—22no—
114#924—22no—
115#924—22no—
116#924—22no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×C4×Dic3—21no—
125C2×C4×Dic3—21no—
126C2×C4×Dic3—21no—
127C2×Dic12—22no—
128C2×Dic12—22no—
129C2×Dic12—22no—
130C2×#204—22no—
131C2×#204—22no—
132C2×#204—22no—
133#876—28no—
134#875—22no—
135#875—22no—
136C4×D12—22no—
137C4×D12D414yes—
138#872—28no—
139#870—22no—
140#870—22no—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×C22⋊C8—22no—
146C3×C22⋊C8—22no—
147C3×C4×C8—22no—
148C3×C4×C8—22no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154#821—22no—
155#821—22no—
156#821—22no—
157#818—22no—
158#817—22no—
159#816—22no—
160#816—22no—
161#816—22no—
162#816—22no—
163#816—22no—
164C22×Q16—31no—
165C22×SD16—31no—
166#529—64no—
167#529—64no—
168C2×#126—61no—
169C2×#125—31no—
170C2×#124—31no—
171C2×#123—61no—
172C2×C22⋊Q8—31no—
173C2×C22⋊Q8—31no—
174C2×#121—31no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×D4—31no—
178C2×C4×D4—61no—
179C2×#117—61no—
180C22×C42C2×D311yescharacteristic
181C4×Q16—64no—
182C4×SD16—64no—
183C2×#107—31no—
184C2×#106—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8C2×D311yescharacteristic
194C2×C22⋊C8C2×D311yescharacteristic
195C2×C4×C8C2×D311yescharacteristic
196C2×C4×C8C2×D311yescharacteristic
197#391—31no—
198#389—31no—
199#387—61no—
200#385—61no—
201#380—31no—
202C4×C4⋊C4—31no—
203C4×C4⋊C4—61no—
204C4×C22⋊C4—61no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336C2×D311yescharacteristic
210#336C2×D311yescharacteristic
211C24×C3C2×D411yescharacteristic
212C23×D3—21no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—41no—
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2411yescharacteristic
231C2×#67—24no—
232C2×#67—42no—
233C2×#67—42no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—21no—
245C2×D12—21no—
246C2×D12C2×D412yes—
247C2×C4×D3—24no—
248C2×C4×D3—42no—
249C2×C4×D3—42no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6C2×D412yes—
261C2×Dic6#4112yes—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8#4112yes—
273C2×C3×C8#4112yes—
274C3×C42—22no—
275C3×C42—22no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42C2×D412yes—
279C3×C42C2×D412yes—
280#217—24no—
281#217—24no—
282#217—42no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3C2×D412yes—
295C4⋊Dic3C2×D412yes—
296C4⋊Dic3#4112yes—
297Dic3⋊C4—24no—
298Dic3⋊C4—24no—
299Dic3⋊C4—24no—
300Dic3⋊C4—24no—
301Dic3⋊C4—24no—
302Dic3⋊C4—42no—
303Dic3⋊C4—42no—
304C4×Dic3—24no—
305C4×Dic3—42no—
306C4×Dic3—42no—
307Dic12—28no—
308#204—28no—
309C22×Q8—31no—
310C22×Q8—31no—
311C22×D4—31no—
312C22×D4—61no—
313C23×C4—61no—
314C23×C4D1211yescharacteristic
315C23×C4D1211yescharacteristic
316C23×C4C22×D311yescharacteristic
317C2×Q16—62no—
318C2×Q16—62no—
319C2×Q16—62no—
320C2×SD16—62no—
321C2×SD16—62no—
322C2×SD16—62no—
323C22×C8C22×D311yescharacteristic
324C22×C8C22×D311yescharacteristic
325C22×C8C22×D311yescharacteristic
326C22×C8C22×D311yescharacteristic
327#126—68no—
328#125—62no—
329#125—62no—
330#124—62no—
331#124—62no—
332#123—68no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337#121—62no—
338#121—62no—
339C4×Q8—34no—
340C4×Q8—62no—
341C4×Q8—62no—
342C4×Q8—62no—
343C4×D4—34no—
344C4×D4—68no—
345C4×D4—62no—
346#117—68no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—61no—
369C2×C42—61no—
370C2×C42—61no—
371C2×C42D1211yescharacteristic
372C2×C42D1211yescharacteristic
373C2×C42C22×D311yescharacteristic
374C2×C42C22×D311yescharacteristic
375#107—62no—
376#106—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#103—62no—
381#103—62no—
382#102—62no—
383#102—62no—
384#102—62no—
385C22⋊C8—22no—
386C22⋊C8—22no—
387C4×C8—22no—
388C4×C8—22no—
389#95—61no—
390#95—61no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3#13512yes—
401C23×C3C22×D411yescharacteristic
402C22×D3—22no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—44no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—44no—
426C2×C3×C4#12012yes—
427C2×C3×C4#12012yes—
428C2×C3×C4#13512yes—
429C2×C3×C4#13712yes—
430C2×C3×C4C22×D411yescharacteristic
431C2×C3×C4C22×D411yescharacteristic
432C2×C3×C4C2×#4111yescharacteristic
433C2×C3×C4C2×#4111yescharacteristic
434C2×C3×C4C2×#4111yescharacteristic
435C2×C3×C4C2×#4111yescharacteristic
436#67—48no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—22no—
441C2×Dic3—22no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458D12—22no—
459D12—22no—
460D12—41no—
461D12—41no—
462C4×D3—48no—
463Dic6—22no—
464Dic6—22no—
465Dic6—22no—
466Dic6—22no—
467Dic6—41no—
468Dic6—41no—
469Dic6—41no—
470Dic6—41no—
471C3×C8—22no—
472C3×C8—22no—
473C3×C8—41no—
474C3×C8—41no—
475C24—61no—
476C24C2×D1211yescharacteristic
477C2×Q8—32no—
478C2×Q8—32no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×D4—32no—
490C2×D4—64no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—122no—
497C2×D4—122no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—41no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4—64no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—122no—
519C22×C4—122no—
520C22×C4C2×D1211yescharacteristic
521C22×C4C2×D1211yescharacteristic
522C22×C4C2×D1211yescharacteristic
523C22×C4C2×D1211yescharacteristic
524C22×C4C2×D1211yescharacteristic
525C22×C4C23×D311yescharacteristic
526Q16—68no—
527SD16—68no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8#23512yes—
539C2×C8#23512yes—
540C4⋊C4—32no—
541C4⋊C4—32no—
542C4⋊C4—32no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—64no—
546C4⋊C4—64no—
547C4⋊C4—64no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—122no—
556C4⋊C4—122no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—122no—
564C42—22no—
565C42—22no—
566C42—21no—
567C42—21no—
568C42—64no—
569C42—122no—
570C42—122no—
571C42D3×D412yes—
572C42D3×D412yes—
573C22×C3—22no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—41no—
577C22×C3—41no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3C2×#12011yescharacteristic
581C22×C3#52511yescharacteristic
582C22×C3#53211yescharacteristic
583C22×C3C2×#13511yescharacteristic
584C22×C3C2×#13511yescharacteristic
585C22×C3C2×#13711yescharacteristic
586C22×C3#57511yescharacteristic
587C2×D3—42no—
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C3×C4—22no—
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4#45214yes—
599C3×C4#52511yescharacteristic
600C3×C4#52511yescharacteristic
601C3×C4#53211yescharacteristic
602C3×C4#53211yescharacteristic
603Dic3—42no—
604Dic3—42no—
605Dic3—42no—
606Dic3—42no—
607Dic3—42no—
608Dic3—81no—
609Dic3—81no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—62no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23#90412yes—
624C23C22×D1211yescharacteristic
625Q8—62no—
626Q8—62no—
627Q8—62no—
628Q8—62no—
629Q8—121no—
630Q8—121no—
631Q8—121no—
632Q8—121no—
633D4—62no—
634D4—62no—
635D4—128no—
636D4—121no—
637D4—121no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—128no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4#88212yes—
678C2×C4#88212yes—
679C2×C4#90412yes—
680C2×C4#90912yes—
681C2×C4C2×#23511yescharacteristic
682C2×C4C2×#23511yescharacteristic
683C2×C4C2×D3×D411yescharacteristic
684C2×C4C2×D3×D411yescharacteristic
685C2×C4D3×#4111yescharacteristic
686C2×C4D3×#4111yescharacteristic
687C8—22no—
688C8—22no—
689C8—41no—
690C8—41no—
691C2×C3—42no—
692C2×C3#238811yescharacteristic
693C2×C3C2×#45211yescharacteristic
694C2×C3#300211yescharacteristic
695C2×C3#310211yescharacteristic
696C2×C3#310811yescharacteristic
697C2×C3#316811yescharacteristic
698C2×C3#317211yescharacteristic
699D3—82no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—122no—
708C22—122no—
709C22—122no—
710C22—241no—
711C22—241no—
712C22—241no—
713C22—241no—
714C22#547711yescharacteristic
715C22C2×#88211yescharacteristic
716C22#552411yescharacteristic
717C22C2×#90411yescharacteristic
718C22C2×#90411yescharacteristic
719C22C2×#90911yescharacteristic
720C22#574811yescharacteristic
721C4—22no—
722C4—41no—
723C4—41no—
724C4—41no—
725C4—122no—
726C4—122no—
727C4—122no—
728C4—122no—
729C4—122no—
730C4—241no—
731C4—241no—
732C4#473314yes—
733C4#554711yescharacteristic
734C4#554711yescharacteristic
735C4#554811yescharacteristic
736C4#554811yescharacteristic
737C3#2357211yescharacteristic, complemented, Sylow
738C2—42no—
739C2—242no—
740C2#7358011yescharacteristic
741C2#7846911yescharacteristic
742C2#7853911yescharacteristic
743C2C2×#473311yescharacteristic
744C2#7861011yescharacteristic
745C2#7929911yescharacteristic
746C2#7931111yescharacteristic
subgroupG/H
centerC22×C4C2×D12
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×C4×C22⋊C8C2
socleC23×C3C22×D4
prime radicalC2×#930C22
hypercenterC4×C22⋊C8D3
hypocenterC3#23572
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C4×#924C2semidirect
3. C2×C4×Dic12C2semidirect
4. C2×C4×#204C2semidirect
5. C3×C4×C22⋊C8C2semidirect
6. #69964C2semidirect
8. #69936C2semidirect
10. C4×#816C2semidirect
11. C4×#821C2semidirect
12. #68690C2semidirect
13. #68677C2semidirect
14. #68634C2semidirect
15. #68630C2semidirect
78. C4×C22⋊C8D3semidirect
737. C3#23572semidirect

Maximal subgroups

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

subgroupindex
C2×#54792
C4×#9242
C2×C4×Dic122
C2×C4×#2042
C3×C4×C22⋊C82
#699642
#699622
#699362
#699342
C4×#8162
C4×#8212
#686902
#686772
#686342
#686302
#235723