Finite Group Databasebeta

← C2×#14729 #607660

Subgroups — C2×#14729 #607660

Order 512.

9090 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
1C24×C4⋊C4C211yesmaximal, characteristic, complemented
2C22×#396C212yesmaximal, complemented
3C22×#386C211yesmaximal, characteristic
4C22×#386C211yesmaximal, characteristic
5C22×#386C211yesmaximal, characteristic
6C22×#385C211yesmaximal, characteristic, complemented
7C22×#380C211yesmaximal, characteristic, complemented
8#14729C2116yesmaximal, direct product factor
9C2×#1441C212yesmaximal, complemented
10C2×#1441C212yesmaximal, complemented
11C2×#1439C212yesmaximal, complemented
12C2×C22⋊#95C211yesmaximal, characteristic, complemented
13C24×D4C2211yescharacteristic
14C25×C4C2211yescharacteristic
15C25×C4C2211yescharacteristic
16C25×C4C2211yescharacteristic
17C23×C4⋊C4—28no—
18C23×C4⋊C4—216no—
19C23×C4⋊C4C2212yes—
20C23×C4⋊C4C2212yes—
21C23×C4⋊C4C2212yes—
22C23×C4⋊C4C2212yes—
23C23×C4⋊C4C2218yescomplemented
24C23×C22⋊C4C2212yes—
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2211yescharacteristic
27C23×C22⋊C4C2211yescharacteristic
28C23×C22⋊C4C2212yes—
29C23×C22⋊C4C2211yescharacteristic
30C23×C22⋊C4C2211yescharacteristic
31C2×#396—216no—
32C2×#396C22116yescomplemented
33C2×#386—28no—
34C2×#386—28no—
35C2×#386—28no—
36C2×#386C2218yes—
37C2×#386C2218yes—
38C2×#386C2218yes—
39C2×#385—28no—
40C2×#385C2218yescomplemented
41C2×#380—28no—
42C2×#380C2218yescomplemented
43C22×#95C2212yes—
44C22×#95C2212yes—
45C22×#95C2211yescharacteristic
46C22×#95C2212yes—
47C22×#95C2211yescharacteristic
48C22×#95C2212yes—
49C22×#95C2212yes—
50C22×#95C2212yes—
51#1441C22116yescomplemented
52#1441C22116yescomplemented
53#1439C22116yescomplemented
54C22⋊#95C2218yescomplemented
55C26C2311yescharacteristic
56C26C2311yescharacteristic
57C23×D4—24no—
58C23×D4—24no—
59C23×D4—24no—
60C23×D4—24no—
61C23×D4—24no—
62C23×D4—24no—
63C23×D4Q818yes—
64C23×D4C2314yes—
65C24×C4—24no—
66C24×C4—24no—
67C24×C4—28no—
68C24×C4—28no—
69C24×C4—24no—
70C24×C4—24no—
71C24×C4—24no—
72C24×C4—28no—
73C24×C4—28no—
74C24×C4—24no—
75C24×C4—24no—
76C24×C4—44no—
77C24×C4—44no—
78C24×C4D418yes—
79C24×C4D418yes—
80C24×C4C2311yescharacteristic
81C24×C4C2312yes—
82C24×C4C2311yescharacteristic
83C24×C4C2314yes—
84C24×C4C2312yes—
85C24×C4C2311yescharacteristic
86C24×C4C2312yes—
87C24×C4C2311yescharacteristic
88C24×C4C2314yes—
89C24×C4C2314yes—
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C22×C4⋊C4—2128no—
93C22×C4⋊C4—28no—
94C22×C4⋊C4—28no—
95C22×C4⋊C4—28no—
96C22×C4⋊C4—28no—
97C22×C4⋊C4—28no—
98C22×C4⋊C4—232no—
99C22×C4⋊C4—264no—
100C22×C4⋊C4—28no—
101C22×C4⋊C4—28no—
102C22×C4⋊C4—28no—
103C22×C4⋊C4—28no—
104C22×C4⋊C4—28no—
105C22×C4⋊C4—44no—
106C22×C4⋊C4D4116yescomplemented
107C22×C4⋊C4C2318yes—
108C22×C4⋊C4C2318yes—
109C22×C4⋊C4C2318yes—
110C22×C4⋊C4C2318yes—
111C22×C22⋊C4—24no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—24no—
116C22×C22⋊C4—24no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—28no—
120C22×C22⋊C4—28no—
121C22×C22⋊C4—28no—
122C22×C22⋊C4—28no—
123C22×C22⋊C4—24no—
124C22×C22⋊C4—24no—
125C22×C22⋊C4—28no—
126C22×C22⋊C4—28no—
127C22×C22⋊C4—44no—
128C22×C22⋊C4—44no—
129C22×C22⋊C4D418yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2318yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2318yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137#396—264no—
138#386—232no—
139#386—232no—
140#386—232no—
141#385—232no—
142#380—232no—
143C2×#95—28no—
144C2×#95—28no—
145C2×#95—28no—
146C2×#95—28no—
147C2×#95—24no—
148C2×#95—24no—
149C2×#95—28no—
150C2×#95—44no—
151C2×#95C2318yes—
152C2×#95C2318yes—
153C2×#95C2318yes—
154C2×#95C2314yes—
155C2×#95C2318yes—
156C2×#95C2314yes—
157C2×#95C2318yes—
158C2×#95C2318yes—
159C25—24no—
160C25—24no—
161C25—24no—
162C25—24no—
163C25—24no—
164C25—22no—
165C25—22no—
166C25—22no—
167C25—24no—
168C25—22no—
169C25—22no—
170C25—22no—
171C25—24no—
172C25—24no—
173C25C2×D414yes—
174C25C2×D414yes—
175C25C2×D414yes—
176C25C2×Q814yes—
177C25C2×Q814yes—
178C25#4114yes—
179C25#4114yes—
180C25#4114yes—
181C25C2412yes—
182C25C2412yes—
183C25C2411yescharacteristic
184C22×D4—232no—
185C22×D4—232no—
186C22×D4—232no—
187C22×D4—28no—
188C22×D4—28no—
189C22×D4—28no—
190C22×D4—28no—
191C22×D4—28no—
192C22×D4—28no—
193C22×D4—416no—
194C22×D4—416no—
195C22×D4—416no—
196C22×D4—416no—
197C22×D4C2×Q8116yes—
198C23×C4—232no—
199C23×C4—264no—
200C23×C4—232no—
201C23×C4—232no—
202C23×C4—28no—
203C23×C4—24no—
204C23×C4—24no—
205C23×C4—22no—
206C23×C4—28no—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—22no—
210C23×C4—24no—
211C23×C4—264no—
212C23×C4—216no—
213C23×C4—216no—
214C23×C4—232no—
215C23×C4—232no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—28no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—28no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—28no—
231C23×C4—22no—
232C23×C4—24no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—232no—
242C23×C4—216no—
243C23×C4—216no—
244C23×C4—22no—
245C23×C4—24no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—22no—
252C23×C4—28no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—28no—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—416no—
264C23×C4—48no—
265C23×C4—48no—
266C23×C4—432no—
267C23×C4—432no—
268C23×C4—432no—
269C23×C4—432no—
270C23×C4—416no—
271C23×C4—416no—
272C23×C4C2×D418yes—
273C23×C4C2×D414yes—
274C23×C4C2×D418yes—
275C23×C4C2×D4116yes—
276C23×C4C2×D4116yes—
277C23×C4C2×D418yes—
278C23×C4C2×D414yes—
279C23×C4C2×D418yes—
280C23×C4C2×D418yes—
281C23×C4C2×Q814yes—
282C23×C4#4118yes—
283C23×C4C2412yes—
284C23×C4C2414yes—
285C23×C4C2412yes—
286C23×C4C2414yes—
287C23×C4C2412yes—
288C23×C4C2414yes—
289C23×C4C2412yes—
290C23×C4C2412yes—
291C23×C4C2414yes—
292C2×C4⋊C4—264no—
293C2×C4⋊C4—2256no—
294C2×C4⋊C4—264no—
295C2×C4⋊C4—216no—
296C2×C4⋊C4—216no—
297C2×C4⋊C4—216no—
298C2×C4⋊C4—216no—
299C2×C4⋊C4—216no—
300C2×C4⋊C4—216no—
301C2×C4⋊C4—216no—
302C2×C4⋊C4—216no—
303C2×C4⋊C4—216no—
304C2×C4⋊C4—216no—
305C2×C4⋊C4—48no—
306C2×C4⋊C4—432no—
307C2×C4⋊C4—432no—
308C2×C4⋊C4C2×D4132yescomplemented
309C2×C22⋊C4—232no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—216no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—216no—
322C2×C22⋊C4—216no—
323C2×C22⋊C4—216no—
324C2×C22⋊C4—216no—
325C2×C22⋊C4—216no—
326C2×C22⋊C4—48no—
327C2×C22⋊C4—48no—
328C2×C22⋊C4—432no—
329C2×C22⋊C4—416no—
330C2×C22⋊C4—416no—
331C2×C22⋊C4—416no—
332C2×C22⋊C4—416no—
333C2×C22⋊C4—432no—
334C2×C22⋊C4C2×D4116yes—
335#95—216no—
336#95—216no—
337#95—216no—
338#95—28no—
339#95—28no—
340#95—216no—
341#95—216no—
342#95—48no—
343C24—28no—
344C24—216no—
345C24—28no—
346C24—216no—
347C24—28no—
348C24—28no—
349C24—216no—
350C24—216no—
351C24—216no—
352C24—216no—
353C24—216no—
354C24—216no—
355C24—216no—
356C24—216no—
357C24—216no—
358C24—216no—
359C24—24no—
360C24—24no—
361C24—24no—
362C24—24no—
363C24—28no—
364C24—28no—
365C24—28no—
366C24—216no—
367C24—216no—
368C24—24no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—24no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—24no—
377C24—24no—
378C24—44no—
379C24—48no—
380C24—44no—
381C24—44no—
382C24—44no—
383C24—44no—
384C24—48no—
385C24—44no—
386C24—44no—
387C24—44no—
388C24—48no—
389C24—48no—
390C24—48no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24#121116yes—
397C24#121116yes—
398C24#121116yes—
399C24C22⋊Q8116yes—
400C24C22⋊Q8116yes—
401C24C22⋊Q8116yes—
402C24#126116yes—
403C24C22×D414yes—
404C24C22×D414yes—
405C24C22×D414yes—
406C24C22×D412yes—
407C24C22×D414yes—
408C24C22×D412yes—
409C24C22×D412yes—
410C24C22×Q814yes—
411C24C22×Q814yes—
412C24C22×Q812yes—
413C24C2×#4114yes—
414C24C2×#4114yes—
415C24C2×#4114yes—
416C24C2×#4112yes—
417C24C2×#4112yes—
418C24C2×#4112yes—
419C24C2×#4114yes—
420C24H(5,𝔽2)14yes—
421C242−1+414yes—
422C24C2511yescharacteristic
423C2×D4—232no—
424C2×D4—232no—
425C2×D4—232no—
426C2×D4—416no—
427C2×D4—416no—
428C2×D4—416no—
429C2×D4—416no—
430C2×D4—4128no—
431C22×C4—232no—
432C22×C4—2256no—
433C22×C4—264no—
434C22×C4—232no—
435C22×C4—216no—
436C22×C4—232no—
437C22×C4—216no—
438C22×C4—216no—
439C22×C4—28no—
440C22×C4—216no—
441C22×C4—216no—
442C22×C4—216no—
443C22×C4—28no—
444C22×C4—216no—
445C22×C4—216no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—264no—
454C22×C4—232no—
455C22×C4—28no—
456C22×C4—216no—
457C22×C4—216no—
458C22×C4—232no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—216no—
465C22×C4—216no—
466C22×C4—216no—
467C22×C4—216no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—232no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—416no—
509C22×C4—4128no—
510C22×C4—432no—
511C22×C4—432no—
512C22×C4—432no—
513C22×C4—432no—
514C22×C4—4128no—
515C22×C4—416no—
516C22×C4—48no—
517C22×C4—416no—
518C22×C4—48no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—44no—
538C22×C4—48no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—48no—
542C22×C4—48no—
543C22×C4—48no—
544C22×C4—48no—
545C22×C4—48no—
546C22×C4—48no—
547C22×C4—48no—
548C22×C4#120116yes—
549C22×C4#121132yes—
550C22×C4C22×D418yes—
551C22×C4C22×D414yes—
552C22×C4C22×D418yes—
553C22×C4C22×D414yes—
554C22×C4C22×D418yes—
555C22×C4C22×D418yes—
556C22×C4C22×D418yes—
557C22×C4C22×Q814yes—
558C22×C4C2×#4118yes—
559C4⋊C4—264no—
560C4⋊C4—264no—
561C4⋊C4—432no—
562C4⋊C4—432no—
563C22⋊C4—232no—
564C22⋊C4—432no—
565C22⋊C4—416no—
566C22⋊C4—416no—
567C22⋊C4—416no—
568C22⋊C4—416no—
569C22⋊C4—432no—
570C23—232no—
571C23—232no—
572C23—232no—
573C23—24no—
574C23—28no—
575C23—232no—
576C23—232no—
577C23—24no—
578C23—28no—
579C23—232no—
580C23—264no—
581C23—264no—
582C23—24no—
583C23—24no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23—28no—
592C23—28no—
593C23—28no—
594C23—264no—
595C23—264no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—28no—
600C23—28no—
601C23—416no—
602C23—416no—
603C23—42no—
604C23—44no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—416no—
609C23—42no—
610C23—44no—
611C23—42no—
612C23—432no—
613C23—42no—
614C23—42no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—432no—
624C23—88no—
625C23—88no—
626C23—88no—
627C23—88no—
628C23—816no—
629C23—816no—
630C23#396164yescomplemented
631C23C2×#12014yes—
632C23C2×#12118yes—
633C23C2×#12118yes—
634C23C2×#12118yes—
635C23C2×#12114yes—
636C23C2×#12118yes—
637C23C2×#12114yes—
638C23C2×#12114yes—
639C23C2×C22⋊Q818yes—
640C23C2×C22⋊Q818yes—
641C23C2×C22⋊Q818yes—
642C23C2×C22⋊Q814yes—
643C23C2×C22⋊Q814yes—
644C23C2×C22⋊Q814yes—
645C23#52514yes—
646C23#52518yes—
647C23C2×#12618yes—
648C23C2×#12614yes—
649C23#53414yes—
650C23#53614yes—
651C23#53718yes—
652C23#53918yes—
653C23D4218yes—
654C23#54618yes—
655C23#54718yes—
656C23#54818yes—
657C23D4×Q818yes—
658C23#55218yes—
659C23#55318yes—
660C23#55418yes—
661C23C23×D411yescharacteristic
662C23C23×D412yes—
663C23C23×D411yescharacteristic
664C23C23×D411yescharacteristic
665C23C23×Q811yescharacteristic
666C23C22×#4111yescharacteristic
667C23C22×#4111yescharacteristic
668C23C22×#4111yescharacteristic
669C23C22×#4112yes—
670C23C2×H(5,𝔽2)12yes—
671C23C2×2−1+412yes—
672D4—464no—
673C2×C4—2128no—
674C2×C4—264no—
675C2×C4—28no—
676C2×C4—28no—
677C2×C4—28no—
678C2×C4—24no—
679C2×C4—232no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—24no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—28no—
695C2×C4—28no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—464no—
699C2×C4—464no—
700C2×C4—416no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—416no—
707C2×C4—432no—
708C2×C4—42no—
709C2×C4—432no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—44no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—88no—
736C2×C4—88no—
737C2×C4—816no—
738C2×C4C2×#12018yes—
739C2×C4C2×#121116yes—
740C22—28no—
741C22—28no—
742C22—28no—
743C22—216no—
744C22—216no—
745C22—216no—
746C22—28no—
747C22—216no—
748C22—2128no—
749C22—28no—
750C22—28no—
751C22—44no—
752C22—48no—
753C22—44no—
754C22—48no—
755C22—44no—
756C22—82no—
757C22—82no—
758C22—84no—
759C22—84no—
760C22—832no—
761C22—82no—
762C22—82no—
763C22C2×#39618yes—
764C22C2×#396116yescomplemented
765C22#240918yes—
766C22#241018yes—
767C22#241318yes—
768C22#2416116yes—
769C22#2417116yes—
770C22#2449116yes—
771C22#2481116yes—
772C22#257918yes—
773C22#261818yes—
774C22#284718yes—
775C22C22×#12011yescharacteristic
776C22C22×#12112yes—
777C22C22×#12111yescharacteristic
778C22C22×#12111yescharacteristic
779C22C22×#12111yescharacteristic
780C22C22×C22⋊Q811yescharacteristic
781C22C22×C22⋊Q811yescharacteristic
782C22C22×C22⋊Q811yescharacteristic
783C22C2×#52511yescharacteristic
784C22C2×#52512yes—
785C22C22×#12611yescharacteristic
786C22C2×#53411yescharacteristic
787C22C2×#53611yescharacteristic
788C22C2×#53712yes—
789C22C2×#53912yes—
790C22C2×D4212yes—
791C22C2×#54612yes—
792C22C2×#54712yes—
793C22C2×#54812yes—
794C22C2×D4×Q812yes—
795C22C2×#55212yes—
796C22C2×#55312yes—
797C22C2×#55412yes—
798C4—216no—
799C4—28no—
800C4—44no—
801C4—48no—
802C4—48no—
803C4—44no—
804C4—82no—
805C4—84no—
806C4—82no—
807C2—216no—
808C2—84no—
809C2#14729116yesdirect product factor
810C2C22×#39611yescharacteristic
811C2C2×#261811yescharacteristic
812C2C2×#241011yescharacteristic
813C2C2×#244912yes—
814C2C2×#248112yes—
815C2C2×#241612yes—
816C2C2×#240911yescharacteristic
817C2C2×#241712yes—
818C2C2×#241311yescharacteristic
819C2C2×#257911yescharacteristic
820C2C2×#284711yescharacteristic
subgroupG/H
center, socleC25C24
commutator, Frattini, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C24×C4⋊C4C2semidirect
2. C22×#396C2semidirect
6. C22×#385C2semidirect
7. C22×#380C2semidirect
8. #14729C2direct (N × H)
9. C2×#1441C2semidirect
10. C2×#1441C2semidirect
11. C2×#1439C2semidirect
12. C2×C22⋊#95C2semidirect
23. C23×C4⋊C4C22semidirect
32. C2×#396C22semidirect
40. C2×#385C22semidirect
42. C2×#380C22semidirect
51. #1441C22semidirect
52. #1441C22semidirect
53. #1439C22semidirect
54. C22⋊#95C22semidirect
106. C22×C4⋊C4D4semidirect
308. C2×C4⋊C4C2×D4semidirect
630. C23#396semidirect
764. C22C2×#396semidirect
809. C2#14729direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C4⋊C42
C22×#3962
C22×#3862
C22×#3852
C22×#3802
#147292
C2×#14412
C2×#14392
C2×C22⋊#952