Finite Group Databasebeta

← C2×#23701 #6432307

Subgroups — C2×#23701 #6432307

Order 512.

2914 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×SD16C211yesmaximal, characteristic, complemented
2C22×#431C211yesmaximal, characteristic, complemented
3C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
4C2×C4×#121C211yesmaximal, characteristic
5#23701C2116yesmaximal, direct product factor
6C2×#2088C211yesmaximal, characteristic, complemented
7C2×#2077C211yesmaximal, characteristic, complemented
8C2×#2068C211yesmaximal, characteristic, complemented
9C2×#2067C211yesmaximal, characteristic, complemented
10C2×#2055C211yesmaximal, characteristic, complemented
11C2×#2036C211yesmaximal, characteristic, complemented
12C2×#2033C211yesmaximal, characteristic
13C2×#2000C211yesmaximal, characteristic
14C2×C4×#107C211yesmaximal, characteristic, complemented
15C2×C4×#103C211yesmaximal, characteristic, complemented
16C2×C4×#102C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4—21no—
22C22×C4×D4C2211yescharacteristic
23C23×C42C2211yescharacteristic
24C2×C4×SD16—28no—
25C2×C4×SD16C2218yescomplemented
26C2×#431—28no—
27C2×#431C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C4×C8C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43C4×C22⋊Q8—24no—
44C4×C22⋊Q8C2218yescomplemented
45C4×#121—24no—
46C4×#121C2218yes—
47C2×#391C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#388—21no—
52C2×#387—21no—
53C2×#386—21no—
54C2×#385—21no—
55C2×#380C2211yescharacteristic
56C2×#380C2211yescharacteristic
57C2×C4×C4⋊C4—21no—
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×C4×C4⋊C4C2211yescharacteristic
60C2×C4×C22⋊C4—21no—
61C2×C4×C22⋊C4—21no—
62#2088C2218yescomplemented
63#2077C2218yescomplemented
64#2068C2218yescomplemented
65#2067C2218yescomplemented
66#2055C2218yescomplemented
67#2036C2218yescomplemented
68#2033C2218yes—
69#2000C2218yes—
70C4×#107C2218yescomplemented
71C4×#103C2218yescomplemented
72C4×#102C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4D411yescharacteristic
84C24×C4D411yescharacteristic
85C24×C4C2311yescharacteristic
86C22×SD16—24no—
87C22×SD16—24no—
88C22×SD16—24no—
89C22×SD16C2314yes—
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—22no—
96C2×C22⋊Q8—24no—
97C2×C22⋊Q8C2314yes—
98C2×#121—24no—
99C2×#121—22no—
100C2×#121—24no—
101C2×#121C2314yes—
102C2×C4×Q8—22no—
103C2×C4×Q8—24no—
104C2×C4×Q8—24no—
105C2×C4×Q8C2314yes—
106C2×C4×D4—28no—
107C2×C4×D4—22no—
108C2×C4×D4—24no—
109C2×C4×D4—24no—
110C2×C4×D4—48no—
111C2×C4×D4C2314yes—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C42—24no—
130C22×C42—24no—
131C22×C42—21no—
132C22×C42—21no—
133C22×C42—21no—
134C22×C42D411yescharacteristic
135C22×C42D414yes—
136C22×C42D411yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2314yes—
139C22×C42C2311yescharacteristic
140C4×SD16—232no—
141#431—232no—
142C2×#107—24no—
143C2×#107—24no—
144C2×#107C2314yes—
145C2×#107C2314yes—
146C2×#106—24no—
147C2×#106C2314yes—
148C2×C4⋊C8—24no—
149C2×C4⋊C8—24no—
150C2×C4⋊C8C2314yes—
151C2×C4⋊C8C2314yes—
152C2×#103—24no—
153C2×#103—24no—
154C2×#103—24no—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×C22⋊C8—24no—
165C2×C22⋊C8—24no—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2314yes—
168C2×C4×C8—24no—
169C2×C4×C8D418yescomplemented
170C2×C4×C8C2314yes—
171C2×C4×C8C2314yes—
172#391—22no—
173#391C2314yes—
174#390—22no—
175#390C2314yes—
176#389—22no—
177#389—22no—
178#389C2314yes—
179#389C2314yes—
180#388—28no—
181#387—28no—
182#386—28no—
183#385—28no—
184#380—22no—
185#380—22no—
186#380C2314yes—
187#380C2314yes—
188C4×C4⋊C4—28no—
189C4×C4⋊C4—22no—
190C4×C4⋊C4—22no—
191C4×C4⋊C4C2314yes—
192C4×C4⋊C4C2314yes—
193C4×C22⋊C4—28no—
194C4×C22⋊C4—28no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#340C2314yes—
209C25—21no—
210C25C2×D411yescharacteristic
211C22×Q8—21no—
212C22×Q8—22no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—22no—
216C22×Q8—22no—
217C22×Q8#4114yes—
218C22×Q8C2412yes—
219C22×D4—28no—
220C22×D4—24no—
221C22×D4—22no—
222C22×D4—21no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4#4114yes—
230C22×D4C2412yes—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—21no—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—24no—
251C23×C4—44no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D414yes—
257C23×C4C2×D412yes—
258C23×C4C2×D414yes—
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
264C2×SD16—232no—
265C2×SD16—28no—
266C2×SD16—28no—
267C2×SD16—28no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8C2×D414yes—
279C22×C8C2×D414yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284C22⋊Q8—216no—
285C22⋊Q8—28no—
286C22⋊Q8—28no—
287#121—216no—
288#121—28no—
289#121—28no—
290C4×Q8—28no—
291C4×Q8—28no—
292C4×Q8—48no—
293C4×D4—28no—
294C4×D4—28no—
295C4×D4—432no—
296C4×D4—48no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4#4114yes—
322C2×C4⋊C4#4114yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C4⋊C4C2412yes—
326C2×C4⋊C4C2412yes—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—216no—
348C2×C42—28no—
349C2×C42—28no—
350C2×C42—24no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—44no—
354C2×C42—44no—
355C2×C42—44no—
356C2×C42C2×D414yes—
357C2×C42C2×D414yes—
358C2×C42C2×D412yes—
359C2×C42C2×D412yes—
360C2×C42C2×D414yes—
361C2×C42#4114yes—
362C2×C42C2412yes—
363C2×C42C2412yes—
364#107—28no—
365#107—28no—
366#106—28no—
367C4⋊C8—28no—
368C4⋊C8—28no—
369#103—28no—
370#103—28no—
371#103—28no—
372#102—28no—
373#102—28no—
374#102—28no—
375C22⋊C8—28no—
376C22⋊C8—28no—
377C4×C8—28no—
378C4×C8C2×D4116yescomplemented
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95—24no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—22no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24#13514yes—
402C24C22×D412yes—
403C24C22×D411yescharacteristic
404C2×Q8—24no—
405C2×Q8—22no—
406C2×Q8—28no—
407C2×Q8—28no—
408C2×Q8—22no—
409C2×Q8—22no—
410C2×Q8—22no—
411C2×Q8—22no—
412C2×Q8—42no—
413C2×Q8—42no—
414C2×Q8—44no—
415C2×Q8—44no—
416C2×Q8C2×#4114yes—
417C2×D4—216no—
418C2×D4—28no—
419C2×D4—24no—
420C2×D4—28no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—48no—
427C2×D4—432no—
428C2×D4—48no—
429C2×D4—42no—
430C2×D4—42no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4C2×#4114yes—
434C22×C4—232no—
435C22×C4—22no—
436C22×C4—28no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—28no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4—44no—
480C22×C4—416no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—816no—
497C22×C4#12114yes—
498C22×C4#12114yes—
499C22×C4#13514yes—
500C22×C4AGL(1,ℤ/8)14yes—
501C22×C4#13714yes—
502C22×C4C22×D412yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C2×#4112yes—
510C22×C4C2×#4112yes—
511C22×C4C2×#4112yes—
512C22×C4C2×#4112yes—
513C22×C4C2×#4112yes—
514C22×C4C2511yescharacteristic
515SD16—232no—
516C2×C8—28no—
517C2×C8—28no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—44no—
529C2×C8—44no—
530C2×C8C22×D414yes—
531C2×C8C22×D414yes—
532C4⋊C4—216no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—48no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—48no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—48no—
552C4⋊C4C2×#4114yes—
553C4⋊C4C2×#4114yes—
554C22⋊C4—216no—
555C22⋊C4—216no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C42—24no—
562C42—28no—
563C42—28no—
564C42—22no—
565C42—22no—
566C42—48no—
567C42—48no—
568C42—48no—
569C42#12118yes—
570C42C22×D414yes—
571C42C2×#4114yes—
572C23—28no—
573C23—28no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—28no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—48no—
587C23—48no—
588C23—48no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—84no—
596C23—84no—
597C23—84no—
598C23—84no—
599C23C2×#12112yes—
600C23#52512yes—
601C23#52512yes—
602C23C2×#13514yes—
603C23C2×#13512yes—
604C23C2×#13512yes—
605C23C2×AGL(1,ℤ/8)12yes—
606C23C2×#13712yes—
607C23C23×D411yescharacteristic
608Q8—24no—
609Q8—24no—
610Q8—48no—
611Q8—42no—
612Q8—42no—
613D4—24no—
614D4—24no—
615D4—432no—
616D4—48no—
617D4—42no—
618D4—42no—
619C2×C4—232no—
620C2×C4—22no—
621C2×C4—28no—
622C2×C4—28no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—48no—
636C2×C4—48no—
637C2×C4—44no—
638C2×C4—48no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—44no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—48no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—416no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—84no—
667C2×C4—84no—
668C2×C4—816no—
669C2×C4#468116yes—
670C2×C4C2×#12114yes—
671C2×C4C2×#12112yes—
672C2×C4C2×#12114yes—
673C2×C4#52512yes—
674C2×C4#52512yes—
675C2×C4#52514yes—
676C2×C4#52914yes—
677C2×C4#52914yes—
678C2×C4#53214yes—
679C2×C4C2×#13514yes—
680C2×C4C2×AGL(1,ℤ/8)14yes—
681C2×C4C2×#13714yes—
682C2×C4C23×D411yescharacteristic
683C2×C4C22×#4111yescharacteristic
684C2×C4C22×#4111yescharacteristic
685C2×C4C22×#4111yescharacteristic
686C2×C4C22×#4111yescharacteristic
687C2×C4C22×#4111yescharacteristic
688C8—24no—
689C8—24no—
690C8—42no—
691C8—42no—
692C22—24no—
693C22—24no—
694C22—24no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—416no—
699C22—42no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—82no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—816no—
708C22#239214yes—
709C22#305014yes—
710C22C2×#46814yes—
711C22#310514yes—
712C22#310614yes—
713C22#310714yes—
714C22#310814yes—
715C22C22×#12111yescharacteristic
716C22C2×#52511yescharacteristic
717C22C2×#52511yescharacteristic
718C22C22×#13511yescharacteristic
719C22C22×#13511yescharacteristic
720C22C22×AGL(1,ℤ/8)11yescharacteristic
721C22C22×#13711yescharacteristic
722C4—24no—
723C4—24no—
724C4—42no—
725C4—44no—
726C4—44no—
727C4—42no—
728C4—44no—
729C4—82no—
730C4—82no—
731C4—82no—
732C4—82no—
733C4#239214yes—
734C4C2×#46818yes—
735C4C2×#52511yescharacteristic
736C4C2×#52911yescharacteristic
737C4C2×#52911yescharacteristic
738C4C2×#53211yescharacteristic
739C2—44no—
740C2—84no—
741C2#2370118yesdirect product factor
742C2C2×#239211yescharacteristic
743C2C2×#305011yescharacteristic
744C2C22×#46811yescharacteristic
745C2C2×#310511yescharacteristic
746C2C2×#310611yescharacteristic
747C2C2×#310711yescharacteristic
748C2C2×#310811yescharacteristic
subgroupG/H
centerC23×C4C2×D4
commutator, Frattini, cosocleC22×C4C25
socleC24C22×D4
prime radicalC22×#121C22
LCSG ▷ C22×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
1. C22×C4×SD16C2semidirect
2. C22×#431C2semidirect
3. C2×C4×C22⋊Q8C2semidirect
5. #23701C2direct (N × H)
6. C2×#2088C2semidirect
7. C2×#2077C2semidirect
8. C2×#2068C2semidirect
9. C2×#2067C2semidirect
10. C2×#2055C2semidirect
11. C2×#2036C2semidirect
14. C2×C4×#107C2semidirect
15. C2×C4×#103C2semidirect
16. C2×C4×#102C2semidirect
25. C2×C4×SD16C22semidirect
27. C2×#431C22semidirect
44. C4×C22⋊Q8C22semidirect
62. #2088C22semidirect
63. #2077C22semidirect
64. #2068C22semidirect
65. #2067C22semidirect
66. #2055C22semidirect
67. #2036C22semidirect
70. C4×#107C22semidirect
71. C4×#103C22semidirect
72. C4×#102C22semidirect
169. C2×C4×C8D4semidirect
378. C4×C8C2×D4semidirect
741. C2#23701direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×SD162
C22×#4312
C2×C4×C22⋊Q82
C2×C4×#1212
#237012
C2×#20882
C2×#20772
C2×#20682
C2×#20672
C2×#20552
C2×#20362
C2×#20332
C2×#20002
C2×C4×#1072
C2×C4×#1032
C2×C4×#1022