Finite Group Databasebeta

← C4×#1904 #354248

Subgroups — C4×#1904 #354248

Order 512.

2031 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×AGL(1,ℤ/8)C211yesmaximal, characteristic
2C4×#518C211yesmaximal, characteristic, complemented
3C2×#1904C212yesmaximal
4C4×#418C211yesmaximal, characteristic, complemented
5C4×#421C211yesmaximal, characteristic, complemented
6C4×#410C211yesmaximal, characteristic, complemented
7#10954C212yesmaximal, complemented
8#10903C212yesmaximal, complemented
9#10785C212yesmaximal, complemented
10C4×#344C211yesmaximal, characteristic, complemented
11C4×H(3,ℤ/4)C211yesmaximal, characteristic, complemented
12C22×AGL(1,ℤ/8)C2211yescharacteristic
13C2×#518C2212yes—
14C2×C4×#41C2211yescharacteristic
15C22×C4×D4C2211yescharacteristic
16C4×AGL(1,ℤ/8)—22no—
17C4×AGL(1,ℤ/8)—22no—
18C4×AGL(1,ℤ/8)—22no—
19C4×AGL(1,ℤ/8)—22no—
20C2×#442C412yescomplemented
21C2×#440C412yescomplemented
22C2×C4×SD16C412yescomplemented
23C2×C4×D8C412yescomplemented
24C2×#428C2211yescharacteristic
25C2×#421C2212yes—
26C2×#417C2211yescharacteristic
27C2×#418C2212yes—
28C2×#418C2211yescharacteristic
29C2×#410C2212yes—
30C2×C4×M16C2211yescharacteristic
31C2×C4×M16C2211yescharacteristic
32#2275—22no—
33#2275—22no—
34#2274C2212yes—
35#2273—22no—
36C42×D4—22no—
37C42×D4—22no—
38C4×#117C2211yescharacteristic
39C4×#117C2211yescharacteristic
40C4×#117C2211yescharacteristic
41C2×C4×C22⋊C4—22no—
42#1904C4116yesdirect product factor
43#1762—22no—
44C4×#102—22no—
45#1759—22no—
46C4×#104—22no—
47C4×#99—22no—
48C4×#99—22no—
49C2×#344C2212yes—
50C2×#344C2212yes—
51#1740C2212yes—
52#1736C2212yes—
53#1733C2212yes—
54C2×H(3,ℤ/4)C2212yes—
55C2×H(3,ℤ/4)C2212yes—
56C22×#41C2311yescharacteristic
57C23×D4C2311yescharacteristic
58C24×C4—21no—
59C2×AGL(1,ℤ/8)—22no—
60C2×AGL(1,ℤ/8)—22no—
61C2×AGL(1,ℤ/8)—24no—
62C2×AGL(1,ℤ/8)C2×C418yes—
63C22×SD16C2×C412yes—
64C22×D8C2×C412yes—
65C22×M16C2312yes—
66C22×M16C2311yescharacteristic
67C22×M16C2311yescharacteristic
68#518—24no—
69#518—24no—
70#518—24no—
71#518C2×C418yescomplemented
72C4×#41—21no—
73C4×#41—21no—
74C4×#41—21no—
75C4×#41—21no—
76C4×#41—21no—
77C4×#41—21no—
78C4×#41—21no—
79C4×#41—21no—
80C2×C4×Q8C2×C411yescharacteristic, complemented
81C2×C4×Q8C2×C411yescharacteristic, complemented
82C2×C4×D4—24no—
83C2×C4×D4—21no—
84C2×C4×D4—21no—
85C2×C4×D4—21no—
86C2×C4×D4—21no—
87C2×C4×D4—24no—
88C2×C4×D4—21no—
89C2×C4×D4—21no—
90C2×C4×D4—21no—
91C2×C4×D4—21no—
92C2×C4×D4C2×C412yes—
93C2×C4×D4C2×C412yes—
94C2×C4×D4C2×C411yescharacteristic, complemented
95C2×C4×D4C2×C411yescharacteristic, complemented
96C2×C4×D4D412yes—
97C2×C4×D4D412yes—
98C2×C4×D4D412yes—
99C2×C4×D4D412yes—
100C2×#117—21no—
101C2×#117C2312yes—
102C2×#117C2311yescharacteristic
103C2×#117C2312yes—
104C2×#117C2312yes—
105C22×C4⋊C4C2311yescharacteristic
106C22×C22⋊C4—21no—
107C22×C22⋊C4—24no—
108C22×C42—24no—
109C22×C42—21no—
110C22×C42C2311yescharacteristic
111#442—24no—
112#442—24no—
113#440—24no—
114#440—24no—
115C4×SD16—24no—
116C4×SD16—24no—
117C4×D8—24no—
118C4×D8—24no—
119#428—22no—
120#428—22no—
121C2×#107C2×C412yescomplemented
122C2×#106C2×C412yescomplemented
123#421—24no—
124#421C2×C418yescomplemented
125C2×#104—24no—
126#418—22no—
127#418—22no—
128#418—24no—
129#418C2×C418yescomplemented
130#417—22no—
131#417—22no—
132C2×#103C2×C412yescomplemented
133C2×#102—24no—
134C2×#102C2×C412yes—
135C2×#102C2×C412yes—
136C2×#102C2×C412yescomplemented
137#410—24no—
138#410C2×C418yescomplemented
139C2×#99—24no—
140C4×M16—21no—
141C4×M16—21no—
142C4×M16—21no—
143C4×M16—21no—
144C4×M16—21no—
145C4×M16—21no—
146C4×M16—21no—
147C4×M16—21no—
148C2×#97—21no—
149C2×#97C2×C412yescomplemented
150C2×C4×C8—21no—
151C2×C4×C8C2×C412yescomplemented
152C4×C4⋊C4—24no—
153C4×C4⋊C4—21no—
154C4×C4⋊C4—21no—
155C4×C4⋊C4—21no—
156C4×C4⋊C4—21no—
157C4×C4⋊C4—24no—
158C4×C4⋊C4—21no—
159C4×C4⋊C4—21no—
160C4×C22⋊C4—24no—
161C4×C22⋊C4—24no—
162C4×C22⋊C4—28no—
163C4×C22⋊C4—28no—
164C4×C22⋊C4—21no—
165C4×C22⋊C4—21no—
166C4×C22⋊C4—24no—
167C4×C22⋊C4—21no—
168C4×C22⋊C4—21no—
169C4×C22⋊C4D412yes—
170C4×C22⋊C4D412yes—
171#376—21no—
172#376—21no—
173#376D412yes—
174C2×#95—24no—
175C43—21no—
176C43—21no—
177C43D412yes—
178#344—24no—
179#344C2×C418yescomplemented
180#342—24no—
181#340—24no—
182#339—24no—
183H(3,ℤ/4)—24no—
184H(3,ℤ/4)C2×C418yescomplemented
185C25—21no—
186C2×#41—22no—
187C2×#41—21no—
188C2×#41—21no—
189C2×#41—21no—
190C2×#41—21no—
191C2×#41—22no—
192C2×#41—22no—
193C2×#41C22×C414yes—
194C22×Q8C22×C411yescharacteristic
195C22×D4—21no—
196C22×D4—21no—
197C22×D4—21no—
198C22×D4—21no—
199C22×D4—22no—
200C22×D4—22no—
201C22×D4C22×C411yescharacteristic
202C22×D4C22×C412yes—
203C22×D4C22×C414yes—
204C22×D4C2×D412yes—
205C22×D4C2×D412yes—
206C22×D4#4114yes—
207C23×C4—28no—
208C23×C4—21no—
209C23×C4—22no—
210C23×C4—21no—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—21no—
217C23×C4—21no—
218C23×C4—84no—
219C23×C4C2×D411yescharacteristic
220C23×C4C2×D411yescharacteristic
221C23×C4C2411yescharacteristic
222AGL(1,ℤ/8)—216no—
223AGL(1,ℤ/8)—216no—
224C2×SD16—24no—
225C2×SD16—24no—
226C2×SD16C4218yescomplemented
227C2×D8—24no—
228C2×D8—24no—
229C2×D8C4218yescomplemented
230C2×M16—21no—
231C2×M16—21no—
232C2×M16—22no—
233C2×M16—21no—
234C2×M16—21no—
235C2×M16—22no—
236C2×M16—22no—
237C2×M16—22no—
238C2×M16—22no—
239C2×M16—22no—
240C2×M16—22no—
241C2×M16—22no—
242C2×M16C22×C414yes—
243C2×M16C22×C414yes—
244C22×C8—22no—
245C22×C8C22×C412yes—
246C22×C8C22×C412yes—
247C4×Q8—21no—
248C4×Q8—21no—
249C4×Q8—21no—
250C4×Q8—21no—
251C4×Q8—21no—
252C4×Q8—21no—
253C4×Q8—21no—
254C4×Q8—21no—
255C4×D4—216no—
256C4×D4—216no—
257C4×D4—216no—
258C4×D4—21no—
259C4×D4—21no—
260C4×D4—21no—
261C4×D4—21no—
262C4×D4—22no—
263C4×D4—22no—
264C4×D4—22no—
265C4×D4—22no—
266C4×D4—216no—
267C4×D4—21no—
268C4×D4—21no—
269C4×D4—21no—
270C4×D4—21no—
271C4×D4—22no—
272C4×D4—22no—
273C4×D4—22no—
274C4×D4—22no—
275C4×D4—22no—
276C4×D4—22no—
277C4×D4—22no—
278C4×D4—22no—
279C4×D4—41no—
280C4×D4—41no—
281C4×D4—41no—
282C4×D4—41no—
283C4×D4—41no—
284C4×D4—41no—
285C4×D4—41no—
286C4×D4—41no—
287C4×D4C22⋊C414yes—
288C4×D4C22⋊C414yes—
289C4×D4C22⋊C414yes—
290C4×D4C22⋊C414yes—
291#117—22no—
292#117—22no—
293#117—22no—
294#117—22no—
295#117—22no—
296#117—22no—
297#117—21no—
298#117—21no—
299#117—21no—
300#117—21no—
301#117—22no—
302#117—41no—
303#117—41no—
304#117—41no—
305#117—41no—
306#117C22×C414yes—
307#117C22×C414yes—
308#117C22×C414yes—
309#117#4114yes—
310#117#4114yes—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4C22×C411yescharacteristic
320C2×C4⋊C4C22×C411yescharacteristic
321C2×C4⋊C4C22×C412yes—
322C2×C4⋊C4C2×D412yes—
323C2×C4⋊C4C2×D412yes—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—216no—
326C2×C22⋊C4—22no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—22no—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—22no—
331C2×C22⋊C4—22no—
332C2×C22⋊C4—22no—
333C2×C22⋊C4—216no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4C2×D414yes—
339C2×C42—22no—
340C2×C42—22no—
341C2×C42—21no—
342C2×C42—21no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—21no—
346C2×C42—28no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—41no—
350C2×C42—41no—
351C2×C42—41no—
352C2×C42—41no—
353C2×C42—41no—
354C2×C42—41no—
355C2×C42—88no—
356C2×C42C22×C411yescharacteristic
357C2×C42C22×C411yescharacteristic
358C2×C42C2×D414yes—
359C2×C42C2×D411yescharacteristic
360C2×C42C2×D411yescharacteristic
361C2×C42C2×D411yescharacteristic
362C2×C42C2×D411yescharacteristic
363C2×C42C2×D411yescharacteristic
364C2×C42C2×D411yescharacteristic
365C2×C42#4111yescharacteristic
366C2×C42#4111yescharacteristic
367C2×C42#4111yescharacteristic
368C2×C42#4111yescharacteristic
369#107—24no—
370#106—24no—
371#104—216no—
372#103—24no—
373#102—24no—
374#102—24no—
375#102—216no—
376#102—24no—
377#99—216no—
378#97—22no—
379#97—22no—
380#97—41no—
381#97—41no—
382C4×C8—22no—
383C4×C8—22no—
384C4×C8—41no—
385C4×C8—41no—
386#95—28no—
387#95—22no—
388#95—22no—
389#95—22no—
390#95—22no—
391#95—41no—
392#95—41no—
393C24—22no—
394C24—24no—
395C24—22no—
396C24—22no—
397C24—24no—
398C24—21no—
399C24—82no—
400C24—82no—
401C24C22×D411yescharacteristic
402#41—24no—
403#41—24no—
404#41—24no—
405#41—24no—
406#41—42no—
407#41—42no—
408#41—42no—
409#41—42no—
410C2×Q8—21no—
411C2×Q8—21no—
412C2×Q8—21no—
413C2×Q8—21no—
414C2×Q8—21no—
415C2×Q8C2×C4212yescomplemented
416C2×D4—24no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—22no—
420C2×D4—24no—
421C2×D4—21no—
422C2×D4—22no—
423C2×D4—24no—
424C2×D4—22no—
425C2×D4—24no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—41no—
436C2×D4—41no—
437C2×D4—42no—
438C2×D4C2×C4214yes—
439C2×D4C2×C4212yescomplemented
440C2×D4C2×C22⋊C414yes—
441C2×D4#11714yes—
442C2×D4C4×D418yes—
443C2×D4C4×D418yes—
444C22×C4—21no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—232no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—42no—
459C22×C4—48no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—84no—
469C22×C4—84no—
470C22×C4—82no—
471C22×C4—81no—
472C22×C4—84no—
473C22×C4—84no—
474C22×C4—88no—
475C22×C4—88no—
476C22×C4—84no—
477C22×C4—82no—
478C22×C4—82no—
479C22×C4C4×D411yescharacteristic
480C22×C4C4×D411yescharacteristic
481C22×C4C4×D411yescharacteristic
482C22×C4C4×D411yescharacteristic
483C22×C4#12011yescharacteristic
484C22×C4#12011yescharacteristic
485C22×C4#12011yescharacteristic
486C22×C4#12011yescharacteristic
487C22×C4#12111yescharacteristic
488C22×C4#12111yescharacteristic
489C22×C4#12111yescharacteristic
490C22×C4#12111yescharacteristic
491C22×C4C23×C411yescharacteristic
492C22×C4C23×C412yes—
493C22×C4C22×D411yescharacteristic
494C22×C4C22×D411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C2×#4112yes—
497C22×C4C2×#4111yescharacteristic
498C22×C4C2×#4112yes—
499C22×C4C2×#4111yescharacteristic
500C22×C4C2×#4112yes—
501SD16—216no—
502D8—216no—
503M16—24no—
504M16—24no—
505M16—24no—
506M16—24no—
507M16—42no—
508M16—42no—
509M16—42no—
510M16—42no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—24no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—42no—
518C2×C8—42no—
519C2×C8C2×C4214yescomplemented
520C4⋊C4—22no—
521C4⋊C4—24no—
522C4⋊C4—24no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—24no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—42no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4C2×C22⋊C414yes—
538C22⋊C4—232no—
539C22⋊C4—24no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—24no—
544C22⋊C4—24no—
545C22⋊C4—24no—
546C22⋊C4—24no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—42no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C22⋊C4—41no—
553C22⋊C4—41no—
554C22⋊C4C4×D418yes—
555C42—24no—
556C42—24no—
557C42—24no—
558C42—24no—
559C42—44no—
560C42—44no—
561C42—41no—
562C42—41no—
563C42—42no—
564C42—41no—
565C42—41no—
566C42—41no—
567C42—41no—
568C42—82no—
569C42—82no—
570C42—82no—
571C42—88no—
572C42—82no—
573C42C2×C22⋊C411yescharacteristic
574C42C2×C22⋊C411yescharacteristic
575C42C2×C22⋊C411yescharacteristic
576C42C2×C22⋊C411yescharacteristic
577C42C4×D418yes—
578C42C4×D411yescharacteristic
579C42C4×D411yescharacteristic
580C42C4×D411yescharacteristic
581C42C4×D411yescharacteristic
582C42#12111yescharacteristic
583C42#12111yescharacteristic
584C42#12111yescharacteristic
585C42#12111yescharacteristic
586C42#12311yescharacteristic
587C42#12311yescharacteristic
588C42#12311yescharacteristic
589C42#12311yescharacteristic
590C23—24no—
591C23—28no—
592C23—24no—
593C23—24no—
594C23—28no—
595C23—22no—
596C23—41no—
597C23—41no—
598C23—44no—
599C23—44no—
600C23—41no—
601C23—41no—
602C23—82no—
603C23—82no—
604C23—82no—
605C23—82no—
606C23—81no—
607C23—81no—
608C23—88no—
609C23—88no—
610C23C2×C4×D411yescharacteristic
611C23C2×C4×D412yes—
612C23C2×#12011yescharacteristic
613C23C2×#12111yescharacteristic
614C23#52512yes—
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619D4—22no—
620D4—24no—
621D4—22no—
622D4—24no—
623D4—24no—
624D4—28no—
625D4—28no—
626D4—44no—
627D4—44no—
628D4—41no—
629D4—41no—
630D4C4×C22⋊C418yes—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—48no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—48no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—44no—
661C2×C4—84no—
662C2×C4—84no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4—82no—
666C2×C4—82no—
667C2×C4—82no—
668C2×C4—832no—
669C2×C4—82no—
670C2×C4—82no—
671C2×C4—82no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4#38611yescharacteristic
675C2×C4#38611yescharacteristic
676C2×C4#38611yescharacteristic
677C2×C4#38611yescharacteristic
678C2×C4#38611yescharacteristic
679C2×C4#38611yescharacteristic
680C2×C4#38611yescharacteristic
681C2×C4#38611yescharacteristic
682C2×C4C22×C4211yescharacteristic
683C2×C4C22×C22⋊C411yescharacteristic
684C2×C4C2×#11711yescharacteristic
685C2×C4C2×C4×D412yes—
686C2×C4C2×C4×D412yes—
687C2×C4C2×C4×D411yescharacteristic
688C2×C4C2×C4×D412yes—
689C2×C4C4×#4111yescharacteristic
690C2×C4C4×#4112yes—
691C2×C4C4×#4111yescharacteristic
692C2×C4C4×#4112yes—
693C2×C4C2×#12111yescharacteristic
694C2×C4C2×#12311yescharacteristic
695C2×C4#52512yes—
696C2×C4#52512yes—
697C2×C4#52912yes—
698C2×C4#52912yes—
699C2×C4#53212yes—
700C8—24no—
701C8—42no—
702C8—44no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—21no—
708C22—21no—
709C22—28no—
710C22—42no—
711C22—42no—
712C22—416no—
713C22—44no—
714C22—44no—
715C22—42no—
716C22—88no—
717C22—84no—
718C22—84no—
719C22—82no—
720C22—82no—
721C22—81no—
722C22—81no—
723C22C42×D411yescharacteristic
724C22C2×#38611yescharacteristic
725C22#229011yescharacteristic
726C22C4×#12012yes—
727C22C4×#12112yes—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—21no—
735C4—48no—
736C4—48no—
737C4—44no—
738C4—42no—
739C4—84no—
740C4—81no—
741C4—81no—
742C4#190412yesdirect product factor
743C4C2×C4×C22⋊C411yescharacteristic
744C4C42×D411yescharacteristic
745C4#229011yescharacteristic
746C4#229711yescharacteristic
747C4C4×#12112yes—
748C4C4×#12312yes—
749C2—22no—
750C2—22no—
751C2—21no—
752C2—21no—
753C2—48no—
754C2—82no—
755C2C4×#38611yescharacteristic
756C2C2×#190411yescharacteristic
757C2#2099811yescharacteristic
subgroupG/H
centerC2×C4#386
commutatorC2×C4C22×C42
Frattini, cosocleC23×C4C24
socleC22C2×#386
prime radicalC22×AGL(1,ℤ/8)C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C4×#518C2semidirect
4. C4×#418C2semidirect
5. C4×#421C2semidirect
6. C4×#410C2semidirect
7. #10954C2semidirect
8. #10903C2semidirect
9. #10785C2semidirect
10. C4×#344C2semidirect
11. C4×H(3,ℤ/4)C2semidirect
20. C2×#442C4semidirect
21. C2×#440C4semidirect
22. C2×C4×SD16C4semidirect
23. C2×C4×D8C4semidirect
42. #1904C4direct (N × H)
71. #518C2×C4semidirect
80. C2×C4×Q8C2×C4semidirect
81. C2×C4×Q8C2×C4semidirect
94. C2×C4×D4C2×C4semidirect
95. C2×C4×D4C2×C4semidirect
121. C2×#107C2×C4semidirect
122. C2×#106C2×C4semidirect
124. #421C2×C4semidirect
129. #418C2×C4semidirect
132. C2×#103C2×C4semidirect
136. C2×#102C2×C4semidirect
138. #410C2×C4semidirect
149. C2×#97C2×C4semidirect
151. C2×C4×C8C2×C4semidirect
179. #344C2×C4semidirect
184. H(3,ℤ/4)C2×C4semidirect
226. C2×SD16C42semidirect
229. C2×D8C42semidirect
415. C2×Q8C2×C42semidirect
439. C2×D4C2×C42semidirect
519. C2×C8C2×C42semidirect
742. C4#1904direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×AGL(1,ℤ/8)2
C4×#5182
C2×#19042
C4×#4182
C4×#4212
C4×#4102
#109542
#109032
#107852
C4×#3442
C4×H(3,ℤ/4)2