Finite Group Databasebeta

← C2×#14299 #515117

Subgroups — C2×#14299 #515117

Order 512.

9374 conjugacy classes of subgroups.

The subgroup lattice has 822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4×D4C211yesmaximal, characteristic, complemented
2C22×#392C211yesmaximal, characteristic
3C22×#388C211yesmaximal, characteristic, complemented
4C22×#386C212yesmaximal, complemented
5#14299C2116yesmaximal, direct product factor
6C2×#1442C211yesmaximal, characteristic, complemented
7C2×#1439C212yesmaximal, complemented
8C2×#1439C211yesmaximal, characteristic, complemented
9C2×#1438C211yesmaximal, characteristic, complemented
10C2×#1438C212yesmaximal, complemented
11C2×#1434C211yesmaximal, characteristic, complemented
12C2×C22⋊#95C212yesmaximal, complemented
13C24×D4C2211yescharacteristic
14C24×D4C2212yes—
15C25×C4C2212yes—
16C22×C4×D4—28no—
17C22×C4×D4—216no—
18C22×C4×D4C2218yescomplemented
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2212yes—
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2212yes—
27C23×C22⋊C4C2212yes—
28C23×C22⋊C4C2212yes—
29C23×C42C2211yescharacteristic
30C2×#392C4116yescomplemented
31C2×#392C2218yes—
32C2×#388—28no—
33C2×#388C2218yescomplemented
34C2×#386—216no—
35C2×#386C22116yescomplemented
36C22×#95C2211yescharacteristic
37C22×#95C2211yescharacteristic
38C22×#95C2212yes—
39C22×#95C2211yescharacteristic
40C22×#95C2212yes—
41C22×#95C2212yes—
42C22×#95C2212yes—
43C22×#95C2212yes—
44C22×#95C2211yescharacteristic
45#1442C2218yescomplemented
46#1439C22116yescomplemented
47#1439C2218yescomplemented
48#1438C22116yescomplemented
49#1438C2218yescomplemented
50#1434C2218yescomplemented
51C22⋊#95C22116yescomplemented
52C26C2311yescharacteristic
53C26C2312yes—
54C23×D4—28no—
55C23×D4—28no—
56C23×D4—28no—
57C23×D4—28no—
58C23×D4—24no—
59C23×D4—24no—
60C23×D4—44no—
61C23×D4—44no—
62C23×D4—44no—
63C23×D4—44no—
64C23×D4C2×C418yes—
65C23×D4C2×C4116yescomplemented
66C23×D4C2314yes—
67C23×D4C2318yes—
68C24×C4—28no—
69C24×C4—28no—
70C24×C4—44no—
71C24×C4—44no—
72C24×C4—44no—
73C24×C4—44no—
74C24×C4D4116yescomplemented
75C24×C4C2311yescharacteristic
76C24×C4C2312yes—
77C24×C4C2311yescharacteristic
78C24×C4C2312yes—
79C24×C4C2311yescharacteristic
80C24×C4C2312yes—
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2318yes—
85C2×C4×D4—2128no—
86C2×C4×D4—264no—
87C2×C4×D4—232no—
88C22×C4⋊C4—28no—
89C22×C4⋊C4—24no—
90C22×C4⋊C4—24no—
91C22×C4⋊C4—44no—
92C22×C4⋊C4C2314yes—
93C22×C4⋊C4C2314yes—
94C22×C22⋊C4—28no—
95C22×C22⋊C4—28no—
96C22×C22⋊C4—28no—
97C22×C22⋊C4—24no—
98C22×C22⋊C4—24no—
99C22×C22⋊C4—28no—
100C22×C22⋊C4—28no—
101C22×C22⋊C4—28no—
102C22×C22⋊C4—28no—
103C22×C22⋊C4—24no—
104C22×C22⋊C4—24no—
105C22×C22⋊C4—44no—
106C22×C22⋊C4—44no—
107C22×C22⋊C4—44no—
108C22×C22⋊C4—44no—
109C22×C22⋊C4—44no—
110C22×C22⋊C4—44no—
111C22×C22⋊C4—44no—
112C22×C22⋊C4—44no—
113C22×C22⋊C4—44no—
114C22×C22⋊C4C2×C418yescomplemented
115C22×C22⋊C4C2×C4116yescomplemented
116C22×C22⋊C4C2318yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2318yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2318yes—
122C22×C22⋊C4C2318yes—
123C22×C22⋊C4C2318yes—
124C22×C42—28no—
125C22×C42D418yescomplemented
126C22×C42C2314yes—
127#392C2×C4164yescomplemented
128#388—232no—
129#386—264no—
130C2×#95—28no—
131C2×#95—28no—
132C2×#95—24no—
133C2×#95—24no—
134C2×#95—24no—
135C2×#95—44no—
136C2×#95—44no—
137C2×#95—44no—
138C2×#95C2×C418yescomplemented
139C2×#95C2314yes—
140C2×#95C2318yes—
141C2×#95C2314yes—
142C2×#95C2314yes—
143C2×#95C2318yes—
144C2×#95C2318yes—
145C2×#95C2318yes—
146C2×#95C2318yes—
147C2×#95C2314yes—
148C25—24no—
149C25—24no—
150C25—24no—
151C25—24no—
152C25—24no—
153C25—24no—
154C25—24no—
155C25—24no—
156C25—24no—
157C25—24no—
158C25—24no—
159C25—24no—
160C25—22no—
161C25—24no—
162C25—22no—
163C25—24no—
164C25—22no—
165C25—24no—
166C25—24no—
167C25—22no—
168C25—22no—
169C25—22no—
170C25C22×C414yes—
171C25C22×C418yes—
172C25C2×D418yes—
173C25#4118yes—
174C25C2412yes—
175C25C2414yes—
176C25C2411yescharacteristic
177C22×D4—232no—
178C22×D4—232no—
179C22×D4—264no—
180C22×D4—264no—
181C22×D4—216no—
182C22×D4—216no—
183C22×D4—264no—
184C22×D4—216no—
185C22×D4—216no—
186C22×D4—232no—
187C22×D4—28no—
188C22×D4—28no—
189C22×D4—432no—
190C22×D4—432no—
191C22×D4—48no—
192C22×D4—48no—
193C22×D4—48no—
194C22×D4—48no—
195C22×D4—432no—
196C22×D4—432no—
197C22×D4—432no—
198C22×D4—432no—
199C22×D4C22×C4116yes—
200C22×D4C22×C4132yescomplemented
201C23×C4—24no—
202C23×C4—24no—
203C23×C4—22no—
204C23×C4—24no—
205C23×C4—22no—
206C23×C4—24no—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—22no—
210C23×C4—24no—
211C23×C4—22no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—264no—
227C23×C4—216no—
228C23×C4—216no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—22no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—22no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—432no—
247C23×C4—432no—
248C23×C4—48no—
249C23×C4—48no—
250C23×C4—48no—
251C23×C4—48no—
252C23×C4—432no—
253C23×C4—432no—
254C23×C4—432no—
255C23×C4—432no—
256C23×C4C22×C414yes—
257C23×C4C22×C418yes—
258C23×C4C22×C414yes—
259C23×C4C2×D414yes—
260C23×C4C2×D418yes—
261C23×C4C2×D414yes—
262C23×C4C2×D414yes—
263C23×C4C2×D418yes—
264C23×C4C2×D4132yescomplemented
265C23×C4#4114yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2414yes—
269C23×C4C2412yes—
270C23×C4C2414yes—
271C23×C4C2412yes—
272C23×C4C2414yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C4×D4—2256no—
276C2×C4⋊C4—232no—
277C2×C4⋊C4—216no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—48no—
281C2×C4⋊C4—416no—
282C2×C22⋊C4—264no—
283C2×C22⋊C4—216no—
284C2×C22⋊C4—232no—
285C2×C22⋊C4—216no—
286C2×C22⋊C4—216no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—216no—
290C2×C22⋊C4—216no—
291C2×C22⋊C4—216no—
292C2×C22⋊C4—216no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—432no—
296C2×C22⋊C4—48no—
297C2×C22⋊C4—48no—
298C2×C22⋊C4—48no—
299C2×C22⋊C4—48no—
300C2×C22⋊C4—48no—
301C2×C22⋊C4—48no—
302C2×C22⋊C4—48no—
303C2×C22⋊C4—48no—
304C2×C22⋊C4—48no—
305C2×C22⋊C4—432no—
306C2×C22⋊C4—416no—
307C2×C22⋊C4—432no—
308C2×C22⋊C4—432no—
309C2×C22⋊C4—416no—
310C2×C22⋊C4C22×C4116yescomplemented
311C2×C22⋊C4C22×C4132yescomplemented
312C2×C42—232no—
313C2×C42—216no—
314C2×C42C2×D4116yescomplemented
315#95—216no—
316#95—216no—
317#95—28no—
318#95—28no—
319#95—28no—
320#95—48no—
321#95—48no—
322#95—48no—
323#95C22×C4116yescomplemented
324C24—216no—
325C24—216no—
326C24—216no—
327C24—216no—
328C24—216no—
329C24—216no—
330C24—216no—
331C24—216no—
332C24—216no—
333C24—216no—
334C24—216no—
335C24—216no—
336C24—216no—
337C24—216no—
338C24—216no—
339C24—216no—
340C24—216no—
341C24—216no—
342C24—24no—
343C24—24no—
344C24—24no—
345C24—24no—
346C24—24no—
347C24—24no—
348C24—24no—
349C24—24no—
350C24—24no—
351C24—24no—
352C24—24no—
353C24—24no—
354C24—28no—
355C24—216no—
356C24—28no—
357C24—216no—
358C24—28no—
359C24—22no—
360C24—24no—
361C24—22no—
362C24—24no—
363C24—22no—
364C24—24no—
365C24—24no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—48no—
370C24—48no—
371C24—48no—
372C24—48no—
373C24—48no—
374C24—48no—
375C24—48no—
376C24—48no—
377C24—48no—
378C24—48no—
379C24—48no—
380C24—48no—
381C24—48no—
382C24—48no—
383C24—48no—
384C24—48no—
385C24—44no—
386C24—48no—
387C24—44no—
388C24—48no—
389C24—48no—
390C24—44no—
391C24—48no—
392C24—44no—
393C24—44no—
394C24—44no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—48no—
399C24—48no—
400C24—44no—
401C24—48no—
402C24—44no—
403C24C4×D4132yes—
404C24C23×C414yes—
405C24C23×C418yes—
406C24C23×C412yes—
407C24C22×D418yes—
408C24C22×D414yes—
409C24C22×D412yes—
410C24C2×#4118yes—
411C24C2×#4114yes—
412C24C2×#4112yes—
413C24H(5,𝔽2)12yes—
414C24H(5,𝔽2)14yes—
415C24H(5,𝔽2)12yes—
416C24H(5,𝔽2)14yes—
417C24H(5,𝔽2)12yes—
418C242−1+412yes—
419C24C2511yescharacteristic
420C2×D4—232no—
421C2×D4—232no—
422C2×D4—264no—
423C2×D4—2256no—
424C2×D4—264no—
425C2×D4—264no—
426C2×D4—232no—
427C2×D4—432no—
428C2×D4—432no—
429C2×D4—4256no—
430C2×D4—432no—
431C2×D4—432no—
432C2×D4—432no—
433C2×D4—432no—
434C22×C4—216no—
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—216no—
438C22×C4—216no—
439C22×C4—216no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—28no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—216no—
452C22×C4—28no—
453C22×C4—216no—
454C22×C4—216no—
455C22×C4—216no—
456C22×C4—28no—
457C22×C4—28no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—264no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—432no—
497C22×C4—432no—
498C22×C4—4256no—
499C22×C4—432no—
500C22×C4—432no—
501C22×C4—432no—
502C22×C4—432no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—44no—
522C22×C4—48no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—48no—
533C22×C4C4×D4116yes—
534C22×C4#120116yes—
535C22×C4C23×C418yes—
536C22×C4C23×C414yes—
537C22×C4C23×C414yes—
538C22×C4C22×D418yes—
539C22×C4C22×D414yes—
540C22×C4C22×D414yes—
541C22×C4C22×D418yes—
542C22×C4C22×D414yes—
543C22×C4C2×#4114yes—
544C4⋊C4—232no—
545C4⋊C4—416no—
546C22⋊C4—264no—
547C22⋊C4—232no—
548C22⋊C4—432no—
549C22⋊C4—432no—
550C22⋊C4—416no—
551C22⋊C4—432no—
552C22⋊C4—432no—
553C22⋊C4—416no—
554C42—232no—
555C23—264no—
556C23—264no—
557C23—28no—
558C23—28no—
559C23—28no—
560C23—28no—
561C23—28no—
562C23—28no—
563C23—28no—
564C23—28no—
565C23—28no—
566C23—28no—
567C23—28no—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—28no—
572C23—28no—
573C23—28no—
574C23—28no—
575C23—264no—
576C23—24no—
577C23—28no—
578C23—24no—
579C23—28no—
580C23—24no—
581C23—432no—
582C23—432no—
583C23—432no—
584C23—432no—
585C23—432no—
586C23—432no—
587C23—432no—
588C23—432no—
589C23—432no—
590C23—432no—
591C23—432no—
592C23—432no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—432no—
610C23—416no—
611C23—432no—
612C23—416no—
613C23—42no—
614C23—44no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—42no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—42no—
629C23—44no—
630C23—42no—
631C23—416no—
632C23—88no—
633C23—88no—
634C23—816no—
635C23—88no—
636C23—816no—
637C23—88no—
638C23C2×C4×D4116yes—
639C23C2×C4×D418yes—
640C23C2×C4×D414yes—
641C23#51814yes—
642C23#51818yes—
643C23#52014yes—
644C23C2×#12014yes—
645C23#52518yes—
646C23#52514yes—
647C23#53418yes—
648C23#53418yes—
649C23#53518yes—
650C23#53514yes—
651C23#53514yes—
652C23#53514yes—
653C23#53714yes—
654C23#53718yes—
655C23#53818yes—
656C23#53818yes—
657C23#53818yes—
658C23#53918yes—
659C23#54014yes—
660C23#54018yes—
661C23#54214yes—
662C23C24×C411yescharacteristic
663C23C23×D412yes—
664C23C23×D411yescharacteristic
665C23C22×#4112yes—
666C23C22×#4111yescharacteristic
667C23C2×H(5,𝔽2)11yescharacteristic
668C23C2×H(5,𝔽2)12yes—
669C23C2×H(5,𝔽2)11yescharacteristic
670C23C2×H(5,𝔽2)12yes—
671C23C2×H(5,𝔽2)11yescharacteristic
672C23C2×2−1+411yescharacteristic
673D4—2128no—
674D4—4128no—
675C2×C4—232no—
676C2×C4—28no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—232no—
685C2×C4—24no—
686C2×C4—28no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—24no—
691C2×C4—28no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—4128no—
697C2×C4—432no—
698C2×C4—416no—
699C2×C4—432no—
700C2×C4—416no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—88no—
732C2×C4—88no—
733C2×C4—816no—
734C2×C4C2×C4×D418yes—
735C2×C4C2×#12018yes—
736C22—216no—
737C22—216no—
738C22—216no—
739C22—48no—
740C22—48no—
741C22—48no—
742C22—48no—
743C22—48no—
744C22—48no—
745C22—48no—
746C22—48no—
747C22—48no—
748C22—4128no—
749C22—48no—
750C22—48no—
751C22—48no—
752C22—48no—
753C22—44no—
754C22—48no—
755C22—44no—
756C22—44no—
757C22—84no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—832no—
762C22—82no—
763C22—84no—
764C22C4×#12018yes—
765C22#2321116yes—
766C22#232418yes—
767C22#2325116yes—
768C22#232818yes—
769C22#261318yes—
770C22#261518yes—
771C22#2630116yes—
772C22#263118yes—
773C22#2635116yes—
774C22#263618yes—
775C22C22×C4×D412yes—
776C22C22×C4×D411yescharacteristic
777C22C2×#51811yescharacteristic
778C22C2×#51812yes—
779C22C2×#52011yescharacteristic
780C22C22×#12011yescharacteristic
781C22C2×#52512yes—
782C22C2×#52511yescharacteristic
783C22C2×#53412yes—
784C22C2×#53412yes—
785C22C2×#53512yes—
786C22C2×#53511yescharacteristic
787C22C2×#53511yescharacteristic
788C22C2×#53511yescharacteristic
789C22C2×#53711yescharacteristic
790C22C2×#53712yes—
791C22C2×#53812yes—
792C22C2×#53812yes—
793C22C2×#53812yes—
794C22C2×#53912yes—
795C22C2×#54011yescharacteristic
796C22C2×#54012yes—
797C22C2×#54211yescharacteristic
798C4—28no—
799C4—28no—
800C4—48no—
801C4—44no—
802C4—44no—
803C4—48no—
804C4—84no—
805C4—82no—
806C4—82no—
807C2—416no—
808C2—84no—
809C2#14299116yesdirect product factor
810C2C2×C4×#12011yescharacteristic
811C2C2×#232112yes—
812C2C2×#232411yescharacteristic
813C2C2×#232512yes—
814C2C2×#232811yescharacteristic
815C2C2×#261311yescharacteristic
816C2C2×#263012yes—
817C2C2×#263512yes—
818C2C2×#263111yescharacteristic
819C2C2×#263611yescharacteristic
820C2C2×#261511yescharacteristic
subgroupG/H
center, socleC25C24
commutatorC23C24×C4
Frattini, cosocleC24C25
prime radicalC22×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×C4×D4C2semidirect
3. C22×#388C2semidirect
4. C22×#386C2semidirect
5. #14299C2direct (N × H)
6. C2×#1442C2semidirect
7. C2×#1439C2semidirect
8. C2×#1439C2semidirect
9. C2×#1438C2semidirect
10. C2×#1438C2semidirect
11. C2×#1434C2semidirect
12. C2×C22⋊#95C2semidirect
18. C22×C4×D4C22semidirect
30. C2×#392C4semidirect
33. C2×#388C22semidirect
35. C2×#386C22semidirect
45. #1442C22semidirect
46. #1439C22semidirect
47. #1439C22semidirect
48. #1438C22semidirect
49. #1438C22semidirect
50. #1434C22semidirect
51. C22⋊#95C22semidirect
65. C23×D4C2×C4semidirect
74. C24×C4D4semidirect
114. C22×C22⋊C4C2×C4semidirect
115. C22×C22⋊C4C2×C4semidirect
125. C22×C42D4semidirect
127. #392C2×C4semidirect
138. C2×#95C2×C4semidirect
200. C22×D4C22×C4semidirect
264. C23×C4C2×D4semidirect
310. C2×C22⋊C4C22×C4semidirect
311. C2×C22⋊C4C22×C4semidirect
314. C2×C42C2×D4semidirect
323. #95C22×C4semidirect
809. C2#14299direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C4×D42
C22×#3922
C22×#3882
C22×#3862
#142992
C2×#14422
C2×#14392
C2×#14382
C2×#14342
C2×C22⋊#952