Finite Group Databasebeta

← #11860320

Subgroups — #11860320

Order 1152.

1309 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64102C211yesmaximal, characteristic, complemented
2#10594958C211yesmaximal, characteristic, complemented
3C2×#63825C211yesmaximal, characteristic
4C3×#4966C211yesmaximal, characteristic, complemented
5C3×#4964C211yesmaximal, characteristic, complemented
6#10591096C211yesmaximal, characteristic, complemented
7#10591060C211yesmaximal, characteristic, complemented
8#10590484C212yesmaximal, complemented
9#10590483C212yesmaximal, complemented
10#10590462C212yesmaximal, complemented
11#10590459C212yesmaximal, complemented
12#79199—31nomaximal
13#78866—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C4×C3⋊D3—21no—
16C2×C3×#235C2211yescharacteristic
17C2×C32×C4⋊C4C2211yescharacteristic
18C2×#3752—21no—
19C2×C4×C3⋊Dic3C2211yescharacteristic
20#64102—21no—
21#64102—21no—
22#64102C2212yes—
23#64102C2212yes—
24C3×#926C2211yescharacteristic
25C2×C3×#208C2211yescharacteristic
26C2×C3×#208C2211yescharacteristic
27#67⋊Dic3—21no—
28#67⋊Dic3—21no—
29#63898C2211yescharacteristic, complemented
30#63898C2211yescharacteristic, complemented
31C4×D3×Dic3—21no—
32#63855—21no—
33#63843C2211yescharacteristic, complemented
34#63843C2211yescharacteristic, complemented
35C2×#3717C2212yes—
36#63825C418yescomplemented
37C2×#3714C2212yes—
38C3×#810C2212yescomplemented
39C3×#809C2212yescomplemented
40C3×#808C2212yescomplemented
41C3×#807C2212yescomplemented
42#63564C2212yes—
43#63564C2212yes—
44#63555C2212yescomplemented
45#63553C2212yescomplemented
46Dic3×#41—31no—
47C2×#949—31no—
48C2×#908—31no—
49#5522—31no—
50C2×#893—31no—
51C2×#893—31no—
52C2×#893—61no—
53C3×#428—31no—
54C3×#417—31no—
55#5131—31no—
56Dic3×M16—31no—
57Dic3×M16—31no—
58#5001—31no—
59#4966D311yescharacteristic, complemented
60#4964D311yescharacteristic, complemented
61#4889—32no—
62#4872—32no—
63#4869—32no—
64#4852—32no—
65#4817—32no—
66#4788—32no—
67#4785—32no—
68#4756—32no—
69C23×C3⋊D3—21no—
70C22×C32×C4—21no—
71C22×C32×C4C2311yescharacteristic
72C22×C3⋊Dic3D411yescharacteristic
73C22×C3⋊Dic3D411yescharacteristic
74C2×C4⋊(C3⋊D3)—21no—
75C2×C4⋊(C3⋊D3)—22no—
76C2×C4⋊(C3⋊D3)C2×C414yescomplemented
77C2×C4⋊(C3⋊D3)C2312yes—
78C2×C4×C3⋊D3—22no—
79C2×C4×C3⋊D3—22no—
80C2×C4×C3⋊D3—44no—
81C2×C3×#67—21no—
82C3×#235—22no—
83C3×#235C2×C414yescomplemented
84C2×C3×D12C2311yescharacteristic
85C2×C3×C4×D3—21no—
86C2×C3×Dic6C2311yescharacteristic
87C2×D3×Dic3—21no—
88C2×D3×Dic3—21no—
89C32×C4⋊C4—21no—
90C32×C4⋊C4C2312yes—
91#3752—22no—
92#3752—22no—
93C4×C3⋊Dic3D411yescharacteristic
94C4×C3⋊Dic3D411yescharacteristic
95C4×C3⋊Dic3C2311yescharacteristic
96C4×C3⋊Dic3C2311yescharacteristic
97C3×#217—21no—
98C3×C4⋊Dic3C2311yescharacteristic
99C3×C4⋊Dic3C2311yescharacteristic
100C3×C4×Dic3—21no—
101C3×#208—22no—
102C3×#208C2×C414yescomplemented
103C2×C3×C3⋊C8C2312yes—
104C2×C3×C3⋊C8C2312yes—
105Dic3⋊Dic3—21no—
106Dic3⋊Dic3—21no—
107(C2×D3)⋊Dic3—21no—
108(C2×D3)⋊Dic3—21no—
109Dic32—21no—
110Dic32—21no—
111#3717C2×C418yescomplemented
112#3714C2×C418yescomplemented
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—31no—
115C2×#235C2×D311yescharacteristic
116C22×D12—31no—
117C22×D12—31no—
118C22×D12—61no—
119C22×C4×D3—61no—
120C22×C4×D3—61no—
121C22×C4×D3—62no—
122C2×C3×M16—31no—
123C2×C3×M16—31no—
124C3×#117—31no—
125C2×C3×C4⋊C4—21no—
126C2×C3×C4⋊C4C2×D311yescharacteristic
127C2×C3×C4⋊C4C2×D311yescharacteristic
128#949—38no—
129Q8×Dic3—31no—
130Q8×Dic3—31no—
131C2×#215—32no—
132D4×Dic3—31no—
133D4×Dic3—31no—
134D4×Dic3—61no—
135D4×Dic3—61no—
136C2×#213—32no—
137C2×(C2×D3)⋊C4—61no—
138C2×(C2×D3)⋊C4—61no—
139C2×(C2×D3)⋊C4—62no—
140#926—61no—
141#926C2×D311yescharacteristic
142C2×C4×Dic3—31no—
143C2×C4×Dic3—31no—
144C2×C4×Dic3—61no—
145C2×C4×Dic3—61no—
146C2×#208C2×D311yescharacteristic
147C2×#208C2×D311yescharacteristic
148#908—38no—
149C2×D24—32no—
150C2×#204—32no—
151#893—31no—
152#893—31no—
153#893—32no—
154#893—32no—
155#893—32no—
156#893—32no—
157#893—62no—
158#893—62no—
159#893—61no—
160#893—61no—
161#893—61no—
162#893—61no—
163#893—62no—
164#893—62no—
165#887—31no—
166#887—31no—
167#67⋊C4—61no—
168#67⋊C4—61no—
169#872—61no—
170C42×D3—61no—
171C3×#107—32no—
172C3×#106—32no—
173C3×#103—32no—
174C3×#102—32no—
175#821—32no—
176#821—32no—
177#815—32no—
178#815—32no—
179C8×Dic3—32no—
180C8×Dic3—32no—
181#810C2×D312yescomplemented
182#809—32no—
183#809—32no—
184#809C2×D312yescomplemented
185#808C2×D312yescomplemented
186#807C2×D312yescomplemented
187C23×C32C2×D411yescharacteristic
188C22×C3⋊D3—24no—
189C22×C3⋊D3—22no—
190C22×C3⋊D3—42no—
191C22×C3⋊D3—42no—
192C22×C3×D3—21no—
193C2×C32×C4—22no—
194C2×C32×C4—42no—
195C2×C32×C4C22×C412yes—
196C2×C32×C4C2×D411yescharacteristic
197C2×C32×C4#4112yes—
198C2×C32×C4C2411yescharacteristic
199C2×C3⋊Dic3—22no—
200C2×C3⋊Dic3—41no—
201C2×C3⋊Dic3C2×D411yescharacteristic
202C2×C3⋊Dic3C2×D411yescharacteristic
203C2×C3⋊Dic3C2×D411yescharacteristic
204C2×C3⋊Dic3C2×D411yescharacteristic
205C4⋊(C3⋊D3)—24no—
206C4⋊(C3⋊D3)—22no—
207C4⋊(C3⋊D3)C22×C414yes—
208C4×C3⋊D3—44no—
209C4×C3⋊D3—44no—
210C3×#67—24no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3—21no—
214C3×D12—21no—
215C3×D12C22×C412yescomplemented
216C3×C4×D3—24no—
217C3×Dic6—21no—
218C3×Dic6C22×C412yescomplemented
219D3×Dic3—42no—
220D3×Dic3—42no—
221C3×C3⋊C8—22no—
222C3×C3⋊C8C22×C414yescomplemented
223C2×AGL(1,ℤ/8)—91no—
224C4×#41—91no—
225C2×C4×D4—91no—
226#442—92no—
227#440—92no—
228C4×SD16—92no—
229C4×D8—92no—
230#428—31no—
231#418—91no—
232#417—31no—
233C4×M16—91no—
234C23×D3—62no—
235C23×D3—61no—
236C23×D3—61no—
237C3×#41—34no—
238C3×#41—62no—
239C2×C3×Q8—31no—
240C2×C3×D4—31no—
241C2×C3×D4—61no—
242C22×C3×C4—22no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—61no—
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C22×D311yescharacteristic
249C2×#67—21no—
250C22×Dic3—31no—
251C22×Dic3—31no—
252C22×Dic3—31no—
253C22×Dic3—31no—
254C22×Dic3—61no—
255C22×Dic3—61no—
256C22×Dic3—61no—
257C22×Dic3—61no—
258#235—22no—
259#235C4×D314yescomplemented
260C2×D12—34no—
261C2×D12—34no—
262C2×D12—32no—
263C2×D12—32no—
264C2×D12—62no—
265C2×D12—64no—
266C2×D12—62no—
267C2×D12—64no—
268C2×D12—61no—
269C2×D12—61no—
270C2×D12—62no—
271C2×D12—62no—
272C2×D12C22×D311yescharacteristic
273C2×C4×D3—21no—
274C2×C4×D3—62no—
275C2×C4×D3—62no—
276C2×C4×D3—62no—
277C2×C4×D3—62no—
278C2×C4×D3—61no—
279C2×C4×D3—61no—
280C2×C4×D3—64no—
281C2×C4×D3—64no—
282C2×C4×D3—124no—
283C2×C4×D3—124no—
284C2×C4×D3—128no—
285C2×Dic6C22×D311yescharacteristic
286C3×M16—34no—
287C3×M16—62no—
288C2×C3×C8—32no—
289C2×C3×C8—32no—
290C3×C4⋊C4—22no—
291C3×C4⋊C4—21no—
292C3×C4⋊C4—21no—
293C3×C4⋊C4—22no—
294C3×C4⋊C4—31no—
295C3×C4⋊C4—31no—
296C3×C4⋊C4C22×D312yes—
297C3×C4⋊C4C22×D312yes—
298C3×C22⋊C4—61no—
299C3×C42—61no—
300#217—21no—
301#217—61no—
302#217—61no—
303#215—38no—
304#213—38no—
305(C2×D3)⋊C4—62no—
306(C2×D3)⋊C4—62no—
307(C2×D3)⋊C4—62no—
308(C2×D3)⋊C4—62no—
309(C2×D3)⋊C4—61no—
310(C2×D3)⋊C4—61no—
311(C2×D3)⋊C4—64no—
312(C2×D3)⋊C4—64no—
313C4⋊Dic3—61no—
314C4⋊Dic3—61no—
315C4⋊Dic3C22×D311yescharacteristic
316C4⋊Dic3C22×D311yescharacteristic
317Dic3⋊C4—61no—
318Dic3⋊C4—61no—
319C4×Dic3—21no—
320C4×Dic3—31no—
321C4×Dic3—31no—
322C4×Dic3—31no—
323C4×Dic3—31no—
324C4×Dic3—31no—
325C4×Dic3—31no—
326C4×Dic3—31no—
327C4×Dic3—31no—
328C4×Dic3—61no—
329C4×Dic3—61no—
330C4×Dic3—61no—
331C4×Dic3—61no—
332C4×Dic3—61no—
333C4×Dic3—61no—
334C4×Dic3—61no—
335C4×Dic3—61no—
336#208—22no—
337#208C4×D314yescomplemented
338C2×C3⋊C8C22×D312yes—
339C2×C3⋊C8C22×D312yes—
340D24—38no—
341#204—38no—
342C22×C32—21no—
343C22×C32—21no—
344C22×C32C4×D412yes—
345C22×C32C22×D411yescharacteristic
346C2×C3⋊D3—24no—
347C2×C3⋊D3—48no—
348C2×C3⋊D3—42no—
349C2×C3⋊D3—42no—
350C2×C3×D3—22no—
351C2×C3×D3—41no—
352C2×C3×D3—41no—
353C32×C4—42no—
354C32×C4C4×D412yes—
355C32×C4C23×C411yescharacteristic
356C32×C4C2×#4111yescharacteristic
357C3⋊Dic3—21no—
358C3⋊Dic3—21no—
359C3⋊Dic3—21no—
360C3⋊Dic3AGL(1,ℤ/8)12yescomplemented
361C3×Dic3—22no—
362C3×Dic3—41no—
363C3×Dic3—41no—
364C2×#41—31no—
365C22×D4—91no—
366C23×C4—181no—
367AGL(1,ℤ/8)—98no—
368C2×SD16—92no—
369C2×D8—92no—
370C2×M16—31no—
371C2×M16—31no—
372C4×Q8—91no—
373C4×Q8—91no—
374C4×D4—91no—
375C4×D4—91no—
376C4×D4—92no—
377C4×D4—92no—
378C4×D4—181no—
379C4×D4—181no—
380C4×D4—181no—
381C4×D4—181no—
382#117—31no—
383#117—181no—
384C2×C4⋊C4D3211yescharacteristic
385C2×C22⋊C4—181no—
386C2×C42—91no—
387C2×C42—181no—
388#107—32no—
389#106—32no—
390#103—32no—
391#102—32no—
392#102—92no—
393#102—92no—
394#97—92no—
395C4×C8—92no—
396C23×C3—21no—
397C23×C3—61no—
398C23×C3D3×D411yescharacteristic
399C23×C3D3×D411yescharacteristic
400C22×D3—21no—
401C22×D3—64no—
402C22×D3—68no—
403C22×D3—64no—
404C22×D3—64no—
405C22×D3—62no—
406C22×D3—62no—
407C22×D3—124no—
408C22×D3—122no—
409C22×D3—122no—
410C22×D3—124no—
411C22×D3—122no—
412C22×D3—122no—
413C3×Q8—32no—
414C3×Q8—61no—
415C3×D4—32no—
416C3×D4—64no—
417C3×D4—61no—
418C2×C3×C4—24no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—44no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—61no—
429C2×C3×C4—64no—
430C2×C3×C4—61no—
431C2×C3×C4—61no—
432C2×C3×C4C2×C4×D312yes—
433C2×C3×C4C2×C4×D312yes—
434C2×C3×C4D3×D411yescharacteristic
435C2×C3×C4D3×D411yescharacteristic
436C2×C3×C4#23712yes—
437C2×C3×C4#23912yes—
438C2×C3×C4C23×D311yescharacteristic
439C2×C3×C4C23×D311yescharacteristic
440#67—24no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—31no—
445C2×Dic3—31no—
446C2×Dic3—31no—
447C2×Dic3—31no—
448C2×Dic3—31no—
449C2×Dic3—31no—
450C2×Dic3—31no—
451C2×Dic3—31no—
452C2×Dic3—61no—
453C2×Dic3—61no—
454C2×Dic3—61no—
455C2×Dic3—61no—
456C2×Dic3—62no—
457C2×Dic3—62no—
458C2×Dic3—64no—
459C2×Dic3—122no—
460C2×Dic3—122no—
461C2×Dic3—121no—
462C2×Dic3—121no—
463C2×Dic3—122no—
464D12—21no—
465D12—34no—
466D12—34no—
467D12—64no—
468D12—64no—
469D12—68no—
470D12—64no—
471D12—64no—
472D12—62no—
473D12—62no—
474D12C2×C4×D312yescomplemented
475C4×D3—24no—
476C4×D3—124no—
477C4×D3—124no—
478C4×D3—122no—
479C4×D3—128no—
480C4×D3—128no—
481C4×D3—124no—
482C4×D3—124no—
483C4×D3—122no—
484Dic6—21no—
485Dic6C2×C4×D312yescomplemented
486C3×C8—34no—
487C3×C8—62no—
488C3⋊C8—22no—
489C3⋊C8C2×C4×D314yescomplemented
490C2×C32—22no—
491C2×C32C2×C4×D411yescharacteristic
492C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
493C2×C32#57511yescharacteristic
494C3⋊D3—44no—
495C3×D3—42no—
496C24—181no—
497#41—34no—
498#41—62no—
499C2×Q8—31no—
500C2×D4—31no—
501C2×D4—61no—
502C2×D4—92no—
503C2×D4—94no—
504C2×D4—182no—
505C2×D4—181no—
506C22×C4—21no—
507C22×C4—61no—
508C22×C4—91no—
509C22×C4—91no—
510C22×C4—182no—
511C22×C4—182no—
512C22×C4—181no—
513C22×C4—181no—
514C22×C4—364no—
515C22×C4C2×D3211yescharacteristic
516SD16—98no—
517D8—98no—
518M16—34no—
519M16—62no—
520C2×C8—32no—
521C2×C8—32no—
522C4⋊C4—21no—
523C4⋊C4—31no—
524C4⋊C4—31no—
525C4⋊C4—181no—
526C4⋊C4—181no—
527C4⋊C4C2×D3212yes—
528C22⋊C4—61no—
529C22⋊C4—182no—
530C22⋊C4—182no—
531C22⋊C4—181no—
532C22⋊C4—181no—
533C42—61no—
534C42—91no—
535C42—91no—
536C42—91no—
537C42—91no—
538C42—181no—
539C42—181no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—21no—
547C22×C3—22no—
548C22×C3—62no—
549C22×C3—121no—
550C22×C3—121no—
551C22×C3#67⋊C412yes—
552C22×C3#89312yes—
553C22×C3C2×D3×D411yescharacteristic
554C22×C3C2×D3×D411yescharacteristic
555C2×D3—22no—
556C2×D3—41no—
557C2×D3—41no—
558C2×D3—68no—
559C2×D3—64no—
560C2×D3—64no—
561C2×D3—124no—
562C2×D3—1216no—
563C2×D3—128no—
564C2×D3—128no—
565C2×D3—124no—
566C2×D3—122no—
567C2×D3—122no—
568C2×D3—122no—
569C2×D3—122no—
570C3×C4—21no—
571C3×C4—21no—
572C3×C4—22no—
573C3×C4—44no—
574C3×C4—42no—
575C3×C4—42no—
576C3×C4—62no—
577C3×C4—121no—
578C3×C4—121no—
579C3×C4#67⋊C412yes—
580C3×C4#89312yes—
581C3×C4C22×C4×D311yescharacteristic
582C3×C4C22×C4×D311yescharacteristic
583C3×C4C2×#23711yescharacteristic
584C3×C4C2×#23911yescharacteristic
585Dic3—22no—
586Dic3—32no—
587Dic3—32no—
588Dic3—41no—
589Dic3—41no—
590Dic3—62no—
591Dic3—62no—
592Dic3—61no—
593Dic3—61no—
594Dic3—61no—
595Dic3—61no—
596Dic3—61no—
597Dic3—61no—
598Dic3—121no—
599Dic3—121no—
600C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
601C23—61no—
602C23—182no—
603C23—184no—
604C23—362no—
605C23—362no—
606C23#381111yescharacteristic
607Q8—32no—
608Q8—61no—
609D4—32no—
610D4—64no—
611D4—61no—
612D4—94no—
613D4—182no—
614D4—184no—
615C2×C4—22no—
616C2×C4—42no—
617C2×C4—61no—
618C2×C4—64no—
619C2×C4—61no—
620C2×C4—61no—
621C2×C4—91no—
622C2×C4—91no—
623C2×C4—91no—
624C2×C4—91no—
625C2×C4—182no—
626C2×C4—364no—
627C2×C4—364no—
628C2×C4—362no—
629C2×C4—362no—
630C2×C4—361no—
631C2×C4#379612yes—
632C2×C4C4×D3212yes—
633C2×C4#381111yescharacteristic
634C2×C4C22×D3211yescharacteristic
635C8—34no—
636C8—62no—
637C2×C3—24no—
638C2×C3—22no—
639C2×C3—22no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—122no—
644C2×C3C2×#67⋊C411yescharacteristic
645C2×C3C2×#89311yescharacteristic
646C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
647C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
648C2×C3#577711yescharacteristic
649C2×C3#577711yescharacteristic
650D3—42no—
651D3—128no—
652D3—124no—
653D3—124no—
654C22—21no—
655C22—21no—
656C22—62no—
657C22—121no—
658C22—121no—
659C22—184no—
660C22—368no—
661C22—362no—
662C22—362no—
663C22#6388112yes—
664C22C2×#381111yescharacteristic
665C4—42no—
666C4—62no—
667C4—92no—
668C4—121no—
669C4—121no—
670C4—181no—
671C4—181no—
672C4—181no—
673C4#6388112yes—
674C4C2×#379611yescharacteristic
675C4C2×C4×D3211yescharacteristic
676C3—21no—
677C3#7886611yescharacteristic, complemented
678C3#7919911yescharacteristic, complemented
679C2—22no—
680C2—122no—
681C2—364no—
682C2C2×#6388111yescharacteristic
683C2#1059510011yescharacteristic
684C2#1059532311yescharacteristic
subgroupG/H
centerC22C2×#3811
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×C4⋊C4C22
socleC22×C32C22×D4
prime radicalC2×#63825C2
cosocleC2×C32×C4C24
hypercenterC2×C4⋊C4D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#64102C2semidirect
2. #10594958C2semidirect
4. C3×#4966C2semidirect
5. C3×#4964C2semidirect
6. #10591096C2semidirect
7. #10591060C2semidirect
8. #10590484C2semidirect
9. #10590483C2semidirect
10. #10590462C2semidirect
11. #10590459C2semidirect
29. #63898C22semidirect
30. #63898C22semidirect
33. #63843C22semidirect
34. #63843C22semidirect
36. #63825C4semidirect
38. C3×#810C22semidirect
39. C3×#809C22semidirect
40. C3×#808C22semidirect
41. C3×#807C22semidirect
44. #63555C22semidirect
45. #63553C22semidirect
59. #4966D3semidirect
60. #4964D3semidirect
76. C2×C4⋊(C3⋊D3)C2×C4semidirect
83. C3×#235C2×C4semidirect
102. C3×#208C2×C4semidirect
111. #3717C2×C4semidirect
112. #3714C2×C4semidirect
181. #810C2×D3semidirect
184. #809C2×D3semidirect
185. #808C2×D3semidirect
186. #807C2×D3semidirect
215. C3×D12C22×C4semidirect
218. C3×Dic6C22×C4semidirect
222. C3×C3⋊C8C22×C4semidirect
259. #235C4×D3semidirect
337. #208C4×D3semidirect
360. C3⋊Dic3AGL(1,ℤ/8)semidirect
474. D12C2×C4×D3semidirect
485. Dic6C2×C4×D3semidirect
489. C3⋊C8C2×C4×D3semidirect
600. C32C4×AGL(1,ℤ/8)semidirect
677. C3#78866semidirect
678. C3#79199semidirect

Maximal subgroups

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

subgroupindex
C2×#641022
#105949582
C2×#638252
C3×#49662
C3×#49642
#105910962
#105910602
#105904842
#105904832
#105904622
#105904592
#791993
#788663