Finite Group Databasebeta

← C2×C4×#482 #6373027

Subgroups — C2×C4×#482 #6373027

Order 512.

2878 conjugacy classes of subgroups.

The subgroup lattice has 717 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#482C211yesmaximal, characteristic
2C2×C4×#121C211yesmaximal, characteristic
3C2×C4×#117C211yesmaximal, characteristic, complemented
4C4×#482C2116yesmaximal, direct product factor
5C2×#1926C211yesmaximal, characteristic, complemented
6C2×#1925C211yesmaximal, characteristic, complemented
7C2×#1921C211yesmaximal, characteristic, complemented
8C2×#1920C211yesmaximal, characteristic, complemented
9C2×#1875C211yesmaximal, characteristic
10C2×#1854C211yesmaximal, characteristic, complemented
11C2×#1825C211yesmaximal, characteristic, complemented
12C2×C4×#107C211yesmaximal, characteristic, complemented
13C2×C4×#106C211yesmaximal, characteristic, complemented
14C2×C4×#102C211yesmaximal, characteristic, complemented
15C2×C4×#102C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊C8C211yesmaximal, characteristic, complemented
17C22×#121C2211yescharacteristic
18C22×C4×D4—21no—
19C22×C4×D4C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C23×C42C2211yescharacteristic
23C2×#482C4116yesdirect product factor
24C2×#482C2218yes—
25C22×#107C2211yescharacteristic
26C22×#107C2211yescharacteristic
27C22×#106C2211yescharacteristic
28C22×#106C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34C22×C22⋊C8C2211yescharacteristic
35C22×C4×C8C2211yescharacteristic
36C22×C4×C8C2211yescharacteristic
37C4×#121—24no—
38C4×#121C2218yes—
39C2×#390C2211yescharacteristic
40C2×#389C2211yescharacteristic
41C2×#388—21no—
42C2×#386—21no—
43C2×#380C2211yescharacteristic
44C4×#117—24no—
45C4×#117C2218yescomplemented
46C2×C4×C4⋊C4C2211yescharacteristic
47C2×C4×C4⋊C4C2211yescharacteristic
48C2×C4×C4⋊C4C2211yescharacteristic
49C2×C4×C4⋊C4C2211yescharacteristic
50C2×C4×C4⋊C4C2211yescharacteristic
51C2×C4×C22⋊C4—21no—
52C2×C4×C22⋊C4—21no—
53C2×C4×C22⋊C4—21no—
54C2×#376—21no—
55C2×C43—21no—
56#1926C2218yescomplemented
57#1925C2218yescomplemented
58#1921C2218yescomplemented
59#1920C2218yescomplemented
60#1875C2218yes—
61#1854C2218yescomplemented
62#1825C2218yescomplemented
63C4×#107C2218yescomplemented
64C4×#106C2218yescomplemented
65C4×#102C2218yescomplemented
66C4×#102C2218yescomplemented
67C4×C22⋊C8C2218yescomplemented
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C23×D4—21no—
79C23×D4C2311yescharacteristic
80C24×C4—21no—
81C24×C4D411yescharacteristic
82C24×C4D411yescharacteristic
83C24×C4C2311yescharacteristic
84C23×C8C2311yescharacteristic
85C23×C8C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C2×#121—22no—
89C2×#121—24no—
90C2×#121C2×C418yes—
91C2×#121C2314yes—
92C2×C4×D4—28no—
93C2×C4×D4—22no—
94C2×C4×D4—24no—
95C2×C4×D4—24no—
96C2×C4×D4—48no—
97C2×C4×D4C2314yes—
98C2×#117—22no—
99C2×#117—22no—
100C2×#117—24no—
101C2×#117—24no—
102C2×#117—24no—
103C2×#117C2×C418yescomplemented
104C2×#117C2314yes—
105C2×#117C2314yes—
106C22×C4⋊C4—21no—
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C22⋊C4—21no—
115C22×C22⋊C4—21no—
116C22×C22⋊C4—21no—
117C22×C22⋊C4—21no—
118C22×C22⋊C4—21no—
119C22×C22⋊C4—21no—
120C22×C22⋊C4—21no—
121C22×C42—21no—
122C22×C42—21no—
123C22×C42—24no—
124C22×C42—24no—
125C22×C42—21no—
126C22×C42—21no—
127C22×C42—21no—
128C22×C42—21no—
129C22×C42—21no—
130C22×C42D411yescharacteristic
131C22×C42D414yes—
132C22×C42D411yescharacteristic
133C22×C42C2311yescharacteristic
134C22×C42C2314yes—
135C22×C42C2311yescharacteristic
136#482C2×C4164yesdirect product factor
137C2×#107—24no—
138C2×#107C2×C418yescomplemented
139C2×#107C2314yes—
140C2×#107C2314yes—
141C2×#106—24no—
142C2×#106C2×C418yescomplemented
143C2×#106C2314yes—
144C2×#106C2314yes—
145C2×#102—24no—
146C2×#102—24no—
147C2×#102C2×C418yescomplemented
148C2×#102C2×C418yescomplemented
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×C22⋊C8—24no—
154C2×C22⋊C8C2×C418yescomplemented
155C2×C22⋊C8C2314yes—
156C2×C22⋊C8C2314yes—
157C2×C4×C8—24no—
158C2×C4×C8—24no—
159C2×C4×C8C2314yes—
160C2×C4×C8C2314yes—
161#390—22no—
162#390C2314yes—
163#389—22no—
164#389C2314yes—
165#388—28no—
166#386—28no—
167#380—22no—
168#380C2314yes—
169C4×C4⋊C4—22no—
170C4×C4⋊C4—22no—
171C4×C4⋊C4—22no—
172C4×C4⋊C4—22no—
173C4×C4⋊C4—22no—
174C4×C4⋊C4C2314yes—
175C4×C4⋊C4C2314yes—
176C4×C4⋊C4C2314yes—
177C4×C4⋊C4C2314yes—
178C4×C4⋊C4C2314yes—
179C4×C22⋊C4—28no—
180C4×C22⋊C4—28no—
181C4×C22⋊C4—28no—
182#376—28no—
183C2×#95—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95—21no—
190C43—28no—
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#336C2314yes—
200#336C2314yes—
201C25—21no—
202C25C2×D411yescharacteristic
203C22×D4—28no—
204C22×D4—24no—
205C22×D4—21no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—44no—
212C22×D4—44no—
213C22×D4C22×C414yes—
214C22×D4C2412yes—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—21no—
220C23×C4—21no—
221C23×C4—21no—
222C23×C4—21no—
223C23×C4—21no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—21no—
230C23×C4—21no—
231C23×C4—24no—
232C23×C4—42no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4C22×C414yes—
237C23×C4C2×D411yescharacteristic
238C23×C4C2×D414yes—
239C23×C4C2×D414yes—
240C23×C4C2×D411yescharacteristic
241C23×C4C2×D412yes—
242C23×C4C2×D411yescharacteristic
243C23×C4C2×D411yescharacteristic
244C23×C4C2×D411yescharacteristic
245C23×C4#4114yes—
246C23×C4C2412yes—
247C23×C4C2411yescharacteristic
248C22×C8—22no—
249C22×C8—22no—
250C22×C8—22no—
251C22×C8—22no—
252C22×C8—22no—
253C22×C8—22no—
254C22×C8—22no—
255C22×C8—22no—
256C22×C8—22no—
257C22×C8—22no—
258C22×C8C22×C414yes—
259C22×C8C22×C414yes—
260C22×C8C2412yes—
261C22×C8C2412yes—
262C22×C8C2412yes—
263C22×C8C2412yes—
264#121—216no—
265#121—28no—
266#121C22×C4116yes—
267C4×D4—28no—
268C4×D4—28no—
269C4×D4—432no—
270C4×D4—48no—
271#117—216no—
272#117—216no—
273#117—28no—
274#117—28no—
275#117—28no—
276#117C22×C4116yescomplemented
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4C22×C414yes—
296C2×C4⋊C4C22×C414yes—
297C2×C4⋊C4C22×C414yes—
298C2×C4⋊C4#4114yes—
299C2×C4⋊C4#4114yes—
300C2×C4⋊C4C2412yes—
301C2×C4⋊C4C2412yes—
302C2×C4⋊C4C2412yes—
303C2×C4⋊C4C2412yes—
304C2×C4⋊C4C2412yes—
305C2×C4⋊C4C2412yes—
306C2×C4⋊C4C2412yes—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C42—28no—
322C2×C42—28no—
323C2×C42—24no—
324C2×C42—24no—
325C2×C42—24no—
326C2×C42—24no—
327C2×C42—22no—
328C2×C42—22no—
329C2×C42—216no—
330C2×C42—28no—
331C2×C42—28no—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—24no—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—44no—
338C2×C42—44no—
339C2×C42—44no—
340C2×C42—44no—
341C2×C42—44no—
342C2×C42C2×D414yes—
343C2×C42C2×D414yes—
344C2×C42C2×D412yes—
345C2×C42C2×D412yes—
346C2×C42#4114yes—
347C2×C42#4114yes—
348C2×C42C2412yes—
349C2×C42C2412yes—
350#107—28no—
351#107C22×C4116yescomplemented
352#106—28no—
353#106C22×C4116yescomplemented
354#102—28no—
355#102—28no—
356#102C22×C4116yescomplemented
357#102C22×C4116yescomplemented
358C22⋊C8—28no—
359C22⋊C8C22×C4116yescomplemented
360C4×C8—28no—
361C4×C8—28no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—24no—
376C24—22no—
377C24—42no—
378C24—42no—
379C24—42no—
380C24—42no—
381C24—42no—
382C24—42no—
383C24C4×D414yes—
384C24C22×D412yes—
385C24C22×D411yescharacteristic
386C2×D4—216no—
387C2×D4—24no—
388C2×D4—28no—
389C2×D4—28no—
390C2×D4—22no—
391C2×D4—22no—
392C2×D4—22no—
393C2×D4—22no—
394C2×D4—22no—
395C2×D4—48no—
396C2×D4—432no—
397C2×D4—48no—
398C2×D4—42no—
399C2×D4—42no—
400C2×D4—44no—
401C2×D4—44no—
402C2×D4C23×C414yes—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—28no—
410C22×C4—28no—
411C22×C4—24no—
412C22×C4—24no—
413C22×C4—28no—
414C22×C4—28no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—24no—
420C22×C4—24no—
421C22×C4—24no—
422C22×C4—22no—
423C22×C4—24no—
424C22×C4—24no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—28no—
433C22×C4—28no—
434C22×C4—28no—
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—44no—
440C22×C4—416no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—416no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—48no—
461C22×C4—816no—
462C22×C4C4×D414yes—
463C22×C4C4×D418yes—
464C22×C4#12314yes—
465C22×C4#12314yes—
466C22×C4#13514yes—
467C22×C4#13514yes—
468C22×C4AGL(1,ℤ/8)14yes—
469C22×C4C23×C414yes—
470C22×C4C23×C412yes—
471C22×C4C22×D412yes—
472C22×C4C22×D412yes—
473C22×C4C22×D412yes—
474C22×C4C22×D412yes—
475C22×C4C22×D411yescharacteristic
476C22×C4C22×D412yes—
477C22×C4C2×#4114yes—
478C22×C4C2×#4112yes—
479C22×C4C2×#4112yes—
480C22×C4C2×#4112yes—
481C22×C4C2×#4112yes—
482C22×C4C2×#4112yes—
483C22×C4C2511yescharacteristic
484C2×C8—28no—
485C2×C8—28no—
486C2×C8—22no—
487C2×C8—22no—
488C2×C8—22no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—44no—
497C2×C8—44no—
498C2×C8C23×C414yes—
499C2×C8C23×C414yes—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—24no—
503C4⋊C4—24no—
504C4⋊C4—24no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4—22no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—48no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4C23×C414yes—
518C4⋊C4C23×C414yes—
519C4⋊C4C23×C414yes—
520C4⋊C4C2×#4114yes—
521C4⋊C4C2×#4114yes—
522C22⋊C4—216no—
523C22⋊C4—216no—
524C22⋊C4—216no—
525C22⋊C4—48no—
526C22⋊C4—48no—
527C22⋊C4—48no—
528C22⋊C4—48no—
529C42—216no—
530C42—216no—
531C42—28no—
532C42—28no—
533C42—24no—
534C42—22no—
535C42—22no—
536C42—48no—
537C42—48no—
538C42—48no—
539C42—48no—
540C42—48no—
541C42#12318yes—
542C42C2×#4114yes—
543C42C2×#4114yes—
544C23—22no—
545C23—22no—
546C23—28no—
547C23—28no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—22no—
552C23—28no—
553C23—24no—
554C23—44no—
555C23—44no—
556C23—44no—
557C23—44no—
558C23—42no—
559C23—42no—
560C23—48no—
561C23—48no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—48no—
567C23—84no—
568C23—84no—
569C23—84no—
570C23—84no—
571C23C2×C4×D414yes—
572C23C2×C4×D412yes—
573C23C2×#12312yes—
574C23#52512yes—
575C23C2×#13512yes—
576C23C2×#13512yes—
577C23C2×AGL(1,ℤ/8)12yes—
578C23#57512yes—
579C23C23×D411yescharacteristic
580D4—24no—
581D4—24no—
582D4—432no—
583D4—42no—
584D4—42no—
585D4—48no—
586C2×C4—28no—
587C2×C4—28no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—28no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—216no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—416no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—48no—
612C2×C4—48no—
613C2×C4—48no—
614C2×C4—48no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—416no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—84no—
633C2×C4—84no—
634C2×C4—816no—
635C2×C4#482116yesdirect product factor
636C2×C4C2×C4×D414yes—
637C2×C4C2×C4×D412yes—
638C2×C4C4×#4114yes—
639C2×C4C4×#4114yes—
640C2×C4C2×#12314yes—
641C2×C4C2×#12314yes—
642C2×C4C2×#12312yes—
643C2×C4#52512yes—
644C2×C4#52914yes—
645C2×C4#52914yes—
646C2×C4C2×#13514yes—
647C2×C4C2×#13514yes—
648C2×C4C2×AGL(1,ℤ/8)14yes—
649C2×C4C24×C411yescharacteristic
650C2×C4C22×#4111yescharacteristic
651C2×C4C22×#4111yescharacteristic
652C2×C4C22×#4111yescharacteristic
653C2×C4C22×#4111yescharacteristic
654C2×C4C22×#4111yescharacteristic
655C8—24no—
656C8—24no—
657C8—42no—
658C8—42no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—416no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—44no—
668C22—44no—
669C22—44no—
670C22—816no—
671C22—82no—
672C22—82no—
673C22—82no—
674C22—82no—
675C22C4×#12314yes—
676C22C4×#13514yes—
677C22C4×AGL(1,ℤ/8)14yes—
678C22C2×#48214yes—
679C22#309114yes—
680C22#310214yes—
681C22#310614yes—
682C22C22×C4×D411yescharacteristic
683C22C22×#12311yescharacteristic
684C22C2×#52511yescharacteristic
685C22C22×#13511yescharacteristic
686C22C22×#13511yescharacteristic
687C22C22×AGL(1,ℤ/8)11yescharacteristic
688C22C2×#57511yescharacteristic
689C4—24no—
690C4—24no—
691C4—24no—
692C4—42no—
693C4—44no—
694C4—44no—
695C4—44no—
696C4—44no—
697C4—44no—
698C4—82no—
699C4—82no—
700C4C4×#12314yes—
701C4C2×#48218yesdirect product factor
702C4C2×C4×#4111yescharacteristic
703C4C2×C4×#4111yescharacteristic
704C4C2×#52911yescharacteristic
705C4C2×#52911yescharacteristic
706C2—44no—
707C2—84no—
708C2C4×#48218yesdirect product factor
709C2C2×C4×#12311yescharacteristic
710C2C2×C4×#13511yescharacteristic
711C2C2×C4×AGL(1,ℤ/8)11yescharacteristic
712C2C22×#48211yescharacteristic
713C2C2×#309111yescharacteristic
714C2C2×#310211yescharacteristic
715C2C2×#310611yescharacteristic
subgroupG/H
centerC23×C4C2×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
socleC24C22×D4
prime radicalC22×#121C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C4 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×C4×#117C2semidirect
4. C4×#482C2direct (N × H)
5. C2×#1926C2semidirect
6. C2×#1925C2semidirect
7. C2×#1921C2semidirect
8. C2×#1920C2semidirect
10. C2×#1854C2semidirect
11. C2×#1825C2semidirect
12. C2×C4×#107C2semidirect
13. C2×C4×#106C2semidirect
14. C2×C4×#102C2semidirect
15. C2×C4×#102C2semidirect
16. C2×C4×C22⋊C8C2semidirect
23. C2×#482C4direct (N × H)
45. C4×#117C22semidirect
56. #1926C22semidirect
57. #1925C22semidirect
58. #1921C22semidirect
59. #1920C22semidirect
61. #1854C22semidirect
62. #1825C22semidirect
63. C4×#107C22semidirect
64. C4×#106C22semidirect
65. C4×#102C22semidirect
66. C4×#102C22semidirect
67. C4×C22⋊C8C22semidirect
103. C2×#117C2×C4semidirect
136. #482C2×C4direct (N × H)
138. C2×#107C2×C4semidirect
142. C2×#106C2×C4semidirect
147. C2×#102C2×C4semidirect
148. C2×#102C2×C4semidirect
154. C2×C22⋊C8C2×C4semidirect
276. #117C22×C4semidirect
351. #107C22×C4semidirect
353. #106C22×C4semidirect
356. #102C22×C4semidirect
357. #102C22×C4semidirect
359. C22⋊C8C22×C4semidirect
635. C2×C4#482direct (N × H)
701. C4C2×#482direct (N × H)
708. C2C4×#482direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4822
C2×C4×#1212
C2×C4×#1172
C4×#4822
C2×#19262
C2×#19252
C2×#19212
C2×#19202
C2×#18752
C2×#18542
C2×#18252
C2×C4×#1072
C2×C4×#1062
C2×C4×#1022
C2×C4×C22⋊C82