Finite Group Databasebeta

← C4×#4819 #10801413

Subgroups — C4×#4819 #10801413

Order 768.

1136 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#947C211yesmaximal, characteristic, complemented
2C2×C4×#215C211yesmaximal, characteristic, complemented
3C2×#4819C211yesmaximal, characteristic
4C2×C4×D24C211yesmaximal, characteristic
5C4×#893C211yesmaximal, characteristic, complemented
6C3×C4×#103C211yesmaximal, characteristic, complemented
7#70276C211yesmaximal, characteristic, complemented
8#70230C211yesmaximal, characteristic, complemented
9#70224C211yesmaximal, characteristic, complemented
10C4×Dic3⋊C8C211yesmaximal, characteristic, complemented
11C4×#809C211yesmaximal, characteristic, complemented
12#68897C211yesmaximal, characteristic
13#68893C211yesmaximal, characteristic, complemented
14#68798C211yesmaximal, characteristic, complemented
15#68792C211yesmaximal, characteristic, complemented
16C4×#463—31nomaximal, Sylow
17C2×C3×C4×Q8C2211yescharacteristic
18C2×#947C2211yescharacteristic
19C22×#215C2211yescharacteristic
20C22×D24C2211yescharacteristic
21C2×#893C2211yescharacteristic
22C2×#893C2211yescharacteristic
23C2×C4×D12C2211yescharacteristic
24C2×C4×D12C2211yescharacteristic
25C2×C42×D3—21no—
26C2×C3×#103C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×C4×C8C2211yescharacteristic
29C3×C4×C4⋊C4C2211yescharacteristic
30#5229C2211yescharacteristic
31C2×#835C2211yescharacteristic
32C2×#821C2211yescharacteristic
33C2×#821C2211yescharacteristic
34C2×#818C2211yescharacteristic
35C2×Dic3⋊C8C2211yescharacteristic
36C2×Dic3⋊C8C2211yescharacteristic
37C4×#215—24no—
38#4990—21no—
39#4990—21no—
40#4988C2211yescharacteristic
41#4977C2211yescharacteristic
42Dic3×C4⋊C4C2211yescharacteristic
43Dic3×C4⋊C4C2211yescharacteristic
44C2×#809C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#809C2211yescharacteristic
47C2×#808C2211yescharacteristic
48C4×(C2×D3)⋊C4—21no—
49C4×(C2×D3)⋊C4—21no—
50C4×(C2×D3)⋊C4—21no—
51C42×Dic3C2211yescharacteristic
52C2×C4×C3⋊C8C2211yescharacteristic
53#4819C418yesdirect product factor
54C4×D24—24no—
55#4666—21no—
56#4666—21no—
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#463—31no—
64C2×C4×SD16—31no—
65C2×C4×D8—31no—
66C4×#124—31no—
67C42×D4—31no—
68#1983—31no—
69#1949—31no—
70#1928—31no—
71#1926—31no—
72#1879—31no—
73#1877—31no—
74#1804—31no—
75C4×C4⋊C8—31no—
76C4×#103D311yescharacteristic, complemented
77C4×#102—31no—
78C22×C3×Q8C2311yescharacteristic
79C22×D12C2311yescharacteristic
80C22×D12C2311yescharacteristic
81C22×C4×D3—21no—
82C22×C4×D3—21no—
83C22×C4×D3—21no—
84C22×C4×D3—21no—
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×C4×Q8—22no—
88C3×C4×Q8—22no—
89C2×C3×C4⋊C4—21no—
90C2×C3×C4⋊C4C2311yescharacteristic
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C42—21no—
94C2×C3×C42—21no—
95C2×C3×C42C2311yescharacteristic
96#947—22no—
97#947C2×C414yescomplemented
98C2×#215—22no—
99C2×#215—22no—
100C2×#215C2×C414yescomplemented
101C2×(C2×D3)⋊C4—21no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×C4⋊Dic3C2311yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4×Dic3—21no—
112C2×C4×Dic3—21no—
113C2×C4×Dic3D411yescharacteristic
114C2×C4×Dic3D411yescharacteristic
115C2×C4×Dic3D411yescharacteristic
116C2×C4×Dic3D411yescharacteristic
117C2×C4×Dic3C2311yescharacteristic
118C2×C4×Dic3C2311yescharacteristic
119C22×C3⋊C8C2311yescharacteristic
120C22×C3⋊C8C2311yescharacteristic
121C2×D24—22no—
122C2×D24—22no—
123C2×D24C2×C414yes—
124#893—22no—
125#893—22no—
126#893—22no—
127#893C2×C414yescomplemented
128C4×D12—22no—
129C4×D12—22no—
130C4×D12—22no—
131C4×D12D414yes—
132C42×D3—44no—
133C3×#103—22no—
134C3×#103C2×C414yescomplemented
135C3×C4×C8—22no—
136C3×#95—21no—
137#835—22no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#821—22no—
145#821—22no—
146#818—22no—
147Dic3⋊C8—22no—
148Dic3⋊C8C2×C414yescomplemented
149#809—22no—
150#809—22no—
151#809C2×C414yescomplemented
152#808—22no—
153C4×C3⋊C8—22no—
154C22×SD16—31no—
155C22×D8—31no—
156C2×#124—31no—
157C2×C4×Q8C2×D311yescharacteristic
158C2×C4×D4—31no—
159C2×C4×D4—31no—
160C2×C4×D4—31no—
161C2×C4×D4—31no—
162C22×C42—61no—
163#463—38no—
164C4×SD16—64no—
165C4×D8—64no—
166C2×#107—31no—
167C2×#106—31no—
168C2×C4⋊C8—31no—
169C2×C4⋊C8—31no—
170C2×#103—31no—
171C2×#103C2×D311yescharacteristic
172C2×#103C2×D311yescharacteristic
173C2×#102—31no—
174C2×#102—31no—
175C2×#102—31no—
176C2×#102—31no—
177C2×#102—31no—
178C2×C4×C8—31no—
179C2×C4×C8C2×D311yescharacteristic
180#391—31no—
181#390—31no—
182#388—61no—
183#388—61no—
184#382—31no—
185C4×C4⋊C4—31no—
186C4×C4⋊C4—31no—
187C4×C4⋊C4C2×D311yescharacteristic
188C4×C22⋊C4—61no—
189C4×C22⋊C4—61no—
190C4×C22⋊C4—61no—
191C4×C22⋊C4—61no—
192C4×C22⋊C4—61no—
193C43—31no—
194#340—31no—
195#340—31no—
196#340C2×D311yescharacteristic
197#340C2×D311yescharacteristic
198#336—31no—
199#336—31no—
200C23×D3—21no—
201C23×D3—21no—
202C2×C3×Q8—21no—
203C2×C3×Q8—21no—
204C2×C3×Q8—21no—
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8C22×C412yes—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2411yescharacteristic
215C22×Dic3—21no—
216C22×Dic3—21no—
217C22×Dic3C2×D411yescharacteristic
218C22×Dic3C2×D411yescharacteristic
219C22×Dic3C2×D411yescharacteristic
220C22×Dic3C2×D411yescharacteristic
221C2×D12—21no—
222C2×D12—21no—
223C2×D12—21no—
224C2×D12—21no—
225C2×D12—21no—
226C2×D12—21no—
227C2×D12—21no—
228C2×D12—21no—
229C2×D12C22×C412yes—
230C2×D12C22×C412yes—
231C2×D12C2×D412yes—
232C2×D12#4112yes—
233C2×C4×D3—24no—
234C2×C4×D3—24no—
235C2×C4×D3—24no—
236C2×C4×D3—42no—
237C2×C4×D3—42no—
238C2×C4×D3—42no—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3—42no—
242C2×C4×D3—42no—
243C2×C4×D3—42no—
244C2×C4×D3—42no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8C22×C412yes—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—42no—
256C3×C4⋊C4C22×C412yes—
257C3×C4⋊C4#4112yes—
258C3×C42—42no—
259C3×C42—42no—
260C3×C42C2×D412yes—
261C3×C42#4112yes—
262#215—28no—
263(C2×D3)⋊C4—24no—
264(C2×D3)⋊C4—24no—
265(C2×D3)⋊C4—24no—
266(C2×D3)⋊C4—24no—
267(C2×D3)⋊C4—24no—
268(C2×D3)⋊C4—42no—
269(C2×D3)⋊C4—42no—
270(C2×D3)⋊C4—42no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3C2×D412yes—
275C4×Dic3—22no—
276C4×Dic3—22no—
277C4×Dic3—21no—
278C4×Dic3—21no—
279C4×Dic3—22no—
280C4×Dic3—41no—
281C4×Dic3—42no—
282C4×Dic3—42no—
283C4×Dic3C22×C412yes—
284C4×Dic3#4112yes—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8C22×C412yes—
291D24—28no—
292C22×Q8C22×D311yescharacteristic
293C22×D4—31no—
294C22×D4—31no—
295C23×C4—61no—
296C23×C4—61no—
297C23×C4—61no—
298C23×C4—61no—
299C2×SD16—34no—
300C2×SD16—62no—
301C2×SD16—62no—
302C2×D8—34no—
303C2×D8—62no—
304C2×D8—62no—
305C22×C8—31no—
306C22×C8—31no—
307C22×C8C22×D311yescharacteristic
308C22×C8C22×D311yescharacteristic
309#124—34no—
310#124—62no—
311C4×Q8—22no—
312C4×Q8—22no—
313C4×D4—34no—
314C4×D4—34no—
315C4×D4—62no—
316C4×D4—62no—
317C4×D4—62no—
318C4×D4—62no—
319C4×D4—62no—
320C4×D4—62no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4C22×D311yescharacteristic
325C2×C4⋊C4C22×D311yescharacteristic
326C2×C4⋊C4C22×D311yescharacteristic
327C2×C22⋊C4—61no—
328C2×C22⋊C4—61no—
329C2×C22⋊C4—61no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C42—21no—
336C2×C42—21no—
337C2×C42—31no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—31no—
341C2×C42—31no—
342C2×C42—31no—
343C2×C42—61no—
344C2×C42—61no—
345C2×C42—124no—
346C2×C42C22×D311yescharacteristic
347#107—62no—
348#106—62no—
349C4⋊C8—34no—
350C4⋊C8—62no—
351#103—22no—
352#103—62no—
353#103C4×D314yescomplemented
354#102—34no—
355#102—62no—
356#102—62no—
357#102—62no—
358#102—62no—
359C4×C8—22no—
360C4×C8—62no—
361#95—21no—
362#95—61no—
363#95—61no—
364#95—61no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3C22×D411yescharacteristic
369C22×D3—22no—
370C22×D3—22no—
371C22×D3—22no—
372C22×D3—22no—
373C22×D3—41no—
374C22×D3—41no—
375C22×D3—41no—
376C22×D3—41no—
377C22×D3—41no—
378C22×D3—41no—
379C22×D3—41no—
380C22×D3—41no—
381C22×D3—41no—
382C22×D3—41no—
383C3×Q8—22no—
384C3×Q8—22no—
385C3×Q8—41no—
386C3×Q8—41no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4#12112yes—
402C2×C3×C4#12112yes—
403C2×C3×C4#13512yes—
404C2×C3×C4AGL(1,ℤ/8)12yes—
405C2×C3×C4C23×C411yescharacteristic
406C2×C3×C4C22×D411yescharacteristic
407C2×C3×C4C2×#4111yescharacteristic
408C2×C3×C4C2×#4111yescharacteristic
409C2×C3×C4C2×#4111yescharacteristic
410C2×C3×C4C2×#4111yescharacteristic
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—22no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—41no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3C4×D412yes—
427C2×Dic3C4×D412yes—
428C2×Dic3#13512yes—
429D12—22no—
430D12—22no—
431D12—22no—
432D12—22no—
433D12—22no—
434D12—41no—
435D12—41no—
436D12C4×D414yes—
437C4×D3—48no—
438C4×D3—48no—
439C4×D3—48no—
440C4×D3—84no—
441C3×C8—22no—
442C3×C8—41no—
443C3⋊C8—22no—
444C3⋊C8—41no—
445C24—61no—
446C24—61no—
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C2×C4×D312yes—
453C2×D4—32no—
454C2×D4—32no—
455C2×D4—32no—
456C2×D4—32no—
457C2×D4—61no—
458C2×D4—61no—
459C2×D4—61no—
460C2×D4—61no—
461C2×D4—61no—
462C2×D4—61no—
463C2×D4—61no—
464C2×D4—61no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—31no—
470C22×C4—31no—
471C22×C4—31no—
472C22×C4—31no—
473C22×C4—64no—
474C22×C4—64no—
475C22×C4—61no—
476C22×C4—64no—
477C22×C4—61no—
478C22×C4—122no—
479C22×C4—122no—
480C22×C4—122no—
481C22×C4—122no—
482C22×C4—122no—
483C22×C4—122no—
484C22×C4—122no—
485C22×C4—122no—
486C22×C4—122no—
487C22×C4D3×D411yescharacteristic
488C22×C4D3×D411yescharacteristic
489C22×C4C23×D311yescharacteristic
490SD16—68no—
491D8—68no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—32no—
498C2×C8—61no—
499C2×C8—61no—
500C2×C8—61no—
501C2×C8—61no—
502C2×C8—61no—
503C2×C8C2×C4×D312yes—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—32no—
509C4⋊C4—42no—
510C4⋊C4—61no—
511C4⋊C4—61no—
512C4⋊C4—61no—
513C4⋊C4C2×C4×D312yes—
514C4⋊C4#23512yes—
515C22⋊C4—64no—
516C22⋊C4—64no—
517C22⋊C4—64no—
518C22⋊C4—64no—
519C22⋊C4—64no—
520C22⋊C4—122no—
521C22⋊C4—122no—
522C22⋊C4—122no—
523C42—32no—
524C42—32no—
525C42—42no—
526C42—42no—
527C42—62no—
528C42—62no—
529C42—62no—
530C42—61no—
531C42—61no—
532C42—121no—
533C42—122no—
534C42—122no—
535C42#23512yes—
536C42D3×D412yes—
537C22×C3C2×C4×D411yescharacteristic
538C22×C3C2×#12111yescharacteristic
539C22×C3#52511yescharacteristic
540C22×C3C2×#13511yescharacteristic
541C22×C3C2×#13511yescharacteristic
542C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
543C22×C3#57511yescharacteristic
544C2×D3—24no—
545C2×D3—42no—
546C2×D3—42no—
547C2×D3—42no—
548C2×D3—42no—
549C2×D3—42no—
550C2×D3—42no—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—81no—
555C2×D3—81no—
556C2×D3—81no—
557C2×D3—81no—
558C3×C4—22no—
559C3×C4—42no—
560C3×C4—42no—
561C3×C4—42no—
562C3×C4—81no—
563C3×C4#46314yescomplemented
564C3×C4C2×C4×D411yescharacteristic
565C3×C4C4×#4111yescharacteristic
566C3×C4#52911yescharacteristic
567C3×C4#53211yescharacteristic
568Dic3—22no—
569Dic3—22no—
570Dic3—22no—
571Dic3—41no—
572Dic3—42no—
573Dic3—81no—
574C23—62no—
575C23—62no—
576C23—62no—
577C23—62no—
578C23—121no—
579C23—121no—
580C23—121no—
581C23—121no—
582C23—121no—
583C23—121no—
584C23—121no—
585C23—121no—
586C23—121no—
587C23—121no—
588C23C2×D3×D411yescharacteristic
589Q8—22no—
590Q8—22no—
591Q8—41no—
592Q8—41no—
593D4—34no—
594D4—62no—
595D4—62no—
596D4—62no—
597D4—62no—
598D4—62no—
599D4—121no—
600D4—121no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—32no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—61no—
619C2×C4—61no—
620C2×C4—61no—
621C2×C4—61no—
622C2×C4—61no—
623C2×C4—61no—
624C2×C4—62no—
625C2×C4—61no—
626C2×C4—61no—
627C2×C4—61no—
628C2×C4—128no—
629C2×C4—128no—
630C2×C4—121no—
631C2×C4—121no—
632C2×C4—128no—
633C2×C4—121no—
634C2×C4—121no—
635C2×C4—121no—
636C2×C4—244no—
637C2×C4#88412yes—
638C2×C4#88412yes—
639C2×C4#91412yes—
640C2×C4#91912yes—
641C2×C4C22×C4×D311yescharacteristic
642C2×C4C2×#23511yescharacteristic
643C2×C4C2×#23511yescharacteristic
644C2×C4C2×D3×D411yescharacteristic
645C2×C4D3×#4111yescharacteristic
646C2×C4D3×#4111yescharacteristic
647C8—22no—
648C8—41no—
649C8—62no—
650C8—121no—
651C2×C3C4×#12111yescharacteristic
652C2×C3C4×#13511yescharacteristic
653C2×C3C4×AGL(1,ℤ/8)11yescharacteristic
654C2×C3C2×#46311yescharacteristic
655C2×C3#303511yescharacteristic
656C2×C3#310211yescharacteristic
657C2×C3#310511yescharacteristic
658D3—44no—
659D3—82no—
660C22—64no—
661C22—122no—
662C22—122no—
663C22—122no—
664C22—122no—
665C22—122no—
666C22—122no—
667C22—122no—
668C22—122no—
669C22—122no—
670C22—241no—
671C22—241no—
672C22—241no—
673C22—241no—
674C22C2×#88411yescharacteristic
675C22C4×D3×D411yescharacteristic
676C22#554711yescharacteristic
677C22C2×#91411yescharacteristic
678C22C2×#91911yescharacteristic
679C22D3×#13511yescharacteristic
680C22#576811yescharacteristic
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—62no—
686C4—62no—
687C4—62no—
688C4—81no—
689C4—121no—
690C4—122no—
691C4—241no—
692C4#481914yesdirect product factor
693C4C4×#23511yescharacteristic
694C4#552811yescharacteristic
695C4C4×D3×D411yescharacteristic
696C4#554811yescharacteristic
697C3C4×#46311yescharacteristic, complemented, Sylow
698C2—124no—
699C2—242no—
700C2C4×#88411yescharacteristic
701C2C2×#481911yescharacteristic
702C2#7886111yescharacteristic
703C2C4×#91411yescharacteristic
704C2#7965411yescharacteristic
705C2C4×#91911yescharacteristic
706C2#7974611yescharacteristic
subgroupG/H
centerC22×C4D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×C4×#103C2
socleC23×C3C22×D4
prime radicalC22×D24C22
cosocleC22×C3×C4C24
hypercenterC4×#103D3
hypocenterC3C4×#463
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
1. C4×#947C2semidirect
2. C2×C4×#215C2semidirect
5. C4×#893C2semidirect
6. C3×C4×#103C2semidirect
7. #70276C2semidirect
8. #70230C2semidirect
9. #70224C2semidirect
10. C4×Dic3⋊C8C2semidirect
11. C4×#809C2semidirect
13. #68893C2semidirect
14. #68798C2semidirect
15. #68792C2semidirect
53. #4819C4direct (N × H)
76. C4×#103D3semidirect
97. #947C2×C4semidirect
100. C2×#215C2×C4semidirect
127. #893C2×C4semidirect
134. C3×#103C2×C4semidirect
148. Dic3⋊C8C2×C4semidirect
151. #809C2×C4semidirect
353. #103C4×D3semidirect
563. C3×C4#463semidirect
692. C4#4819direct (N × H)
697. C3C4×#463semidirect

Maximal subgroups

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

subgroupindex
C4×#9472
C2×C4×#2152
C2×#48192
C2×C4×D242
C4×#8932
C3×C4×#1032
#702762
#702302
#702242
C4×Dic3⋊C82
C4×#8092
#688972
#688932
#687982
#687922
C4×#4633