Finite Group Databasebeta

← C2×#14815 #607757

Subgroups — C2×#14815 #607757

Order 512.

7802 conjugacy classes of subgroups.

The subgroup lattice has 832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#396C212yesmaximal, complemented
2C22×#394C212yesmaximal, complemented
3C22×#392C211yesmaximal, characteristic
4C22×#390C211yesmaximal, characteristic, complemented
5C22×#390C212yesmaximal, complemented
6C22×#388C211yesmaximal, characteristic, complemented
7C22×C4×C4⋊C4C211yesmaximal, characteristic, complemented
8#14815C2116yesmaximal, direct product factor
9C2×#1444C211yesmaximal, characteristic, complemented
10C2×#1439C211yesmaximal, characteristic, complemented
11C2×#1438C211yesmaximal, characteristic, complemented
12C2×#1437C212yesmaximal, complemented
13C24×D4C2211yescharacteristic
14C24×D4C2212yes—
15C23×C4⋊C4C2211yescharacteristic
16C23×C4⋊C4C2212yes—
17C23×C4⋊C4C2212yes—
18C23×C4⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2212yes—
24C23×C22⋊C4C2212yes—
25C23×C22⋊C4C2212yes—
26C23×C22⋊C4C2212yes—
27C23×C22⋊C4C2211yescharacteristic
28C23×C42C2212yes—
29C23×C42C2211yescharacteristic
30C2×#396—216no—
31C2×#396C22116yescomplemented
32C2×#394—216no—
33C2×#394C22116yescomplemented
34C2×#392—28no—
35C2×#392C2218yes—
36C2×#390—28no—
37C2×#390—216no—
38C2×#390C2218yescomplemented
39C2×#390C22116yescomplemented
40C2×#388—28no—
41C2×#388C2218yescomplemented
42C2×C4×C4⋊C4—28no—
43C2×C4×C4⋊C4C2218yescomplemented
44C22×#95C2211yescharacteristic
45C22×#95C2211yescharacteristic
46C22×#95C2212yes—
47C22×#95C2212yes—
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50#1444C2218yescomplemented
51#1439C2218yescomplemented
52#1438C2218yescomplemented
53#1437C22116yescomplemented
54C26C2311yescharacteristic
55C26C2312yes—
56C23×D4—28no—
57C23×D4—28no—
58C23×D4—28no—
59C23×D4—24no—
60C23×D4—28no—
61C23×D4—24no—
62C23×D4—28no—
63C23×D4—28no—
64C23×D4—24no—
65C23×D4—44no—
66C23×D4—44no—
67C23×D4—44no—
68C23×D4C2318yes—
69C23×D4C2314yes—
70C24×C4C2312yes—
71C24×C4C2311yescharacteristic
72C24×C4C2311yescharacteristic
73C24×C4C2312yes—
74C24×C4C2311yescharacteristic
75C24×C4C2311yescharacteristic
76C24×C4C2312yes—
77C24×C4C2311yescharacteristic
78C24×C4C2311yescharacteristic
79C22×C4⋊C4—28no—
80C22×C4⋊C4—28no—
81C22×C4⋊C4—28no—
82C22×C4⋊C4—28no—
83C22×C4⋊C4—24no—
84C22×C4⋊C4—28no—
85C22×C4⋊C4—24no—
86C22×C4⋊C4—44no—
87C22×C4⋊C4—44no—
88C22×C4⋊C4D4116yescomplemented
89C22×C4⋊C4C2314yes—
90C22×C4⋊C4C2318yes—
91C22×C4⋊C4C2318yes—
92C22×C4⋊C4C2314yes—
93C22×C22⋊C4—24no—
94C22×C22⋊C4—24no—
95C22×C22⋊C4—28no—
96C22×C22⋊C4—28no—
97C22×C22⋊C4—28no—
98C22×C22⋊C4—24no—
99C22×C22⋊C4—28no—
100C22×C22⋊C4—28no—
101C22×C22⋊C4—28no—
102C22×C22⋊C4—28no—
103C22×C22⋊C4—28no—
104C22×C22⋊C4—28no—
105C22×C22⋊C4—28no—
106C22×C22⋊C4—24no—
107C22×C22⋊C4—24no—
108C22×C22⋊C4—28no—
109C22×C22⋊C4—28no—
110C22×C22⋊C4—28no—
111C22×C22⋊C4—28no—
112C22×C22⋊C4—28no—
113C22×C22⋊C4—28no—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—44no—
116C22×C22⋊C4—44no—
117C22×C22⋊C4—44no—
118C22×C22⋊C4D418yescomplemented
119C22×C22⋊C4C2318yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2318yes—
123C22×C22⋊C4C2318yes—
124C22×C22⋊C4C2318yes—
125C22×C22⋊C4C2318yes—
126C22×C22⋊C4C2318yes—
127C22×C22⋊C4C2314yes—
128C22×C42—24no—
129C22×C42—24no—
130C22×C42—28no—
131C22×C42—28no—
132C22×C42—44no—
133C22×C42D418yescomplemented
134C22×C42C2318yes—
135C22×C42C2314yes—
136#396—264no—
137#394—264no—
138#392—232no—
139#390—264no—
140#390—232no—
141#388—232no—
142C4×C4⋊C4—232no—
143C2×#95—28no—
144C2×#95—28no—
145C2×#95—24no—
146C2×#95—24no—
147C2×#95—24no—
148C2×#95D418yes—
149C2×#95C2318yes—
150C2×#95C2318yes—
151C2×#95C2314yes—
152C2×#95C2314yes—
153C2×#95C2314yes—
154C2×#95C2314yes—
155C25—22no—
156C25—24no—
157C25—24no—
158C25—24no—
159C25—24no—
160C25—24no—
161C25—22no—
162C25—24no—
163C25—22no—
164C25—24no—
165C25—24no—
166C25—22no—
167C25—24no—
168C25—24no—
169C25—24no—
170C25—24no—
171C25—24no—
172C25—24no—
173C25—24no—
174C25—24no—
175C25—22no—
176C25—24no—
177C25—22no—
178C25—24no—
179C25C2×D414yes—
180C25#4118yes—
181C25C2412yes—
182C25C2414yes—
183C25C2411yescharacteristic
184C22×D4—232no—
185C22×D4—264no—
186C22×D4—216no—
187C22×D4—216no—
188C22×D4—216no—
189C22×D4—28no—
190C22×D4—28no—
191C22×D4—216no—
192C22×D4—216no—
193C22×D4—216no—
194C22×D4—28no—
195C22×D4—48no—
196C22×D4—48no—
197C22×D4—48no—
198C22×D4—432no—
199C22×D4—432no—
200C22×D4—432no—
201C22×D4—432no—
202C22×D4—432no—
203C22×D4—432no—
204C22×D4—416no—
205C22×D4—432no—
206C22×D4—416no—
207C22×D4—432no—
208C23×C4—22no—
209C23×C4—24no—
210C23×C4—22no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—22no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—22no—
240C23×C4—24no—
241C23×C4—22no—
242C23×C4—24no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—22no—
248C23×C4C2×D418yes—
249C23×C4C2×D414yes—
250C23×C4C2×D414yes—
251C23×C4C2×D414yes—
252C23×C4C2×D418yes—
253C23×C4C2×D414yes—
254C23×C4C2×D418yes—
255C23×C4C2×D414yes—
256C23×C4C2×D418yes—
257C23×C4C2×D414yes—
258C23×C4#4114yes—
259C23×C4#4118yes—
260C23×C4#4114yes—
261C23×C4C2414yes—
262C23×C4C2412yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265C23×C4C2414yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2414yes—
269C23×C4C2412yes—
270C2×C4⋊C4—264no—
271C2×C4⋊C4—216no—
272C2×C4⋊C4—216no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4—216no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—216no—
277C2×C4⋊C4—216no—
278C2×C4⋊C4—48no—
279C2×C4⋊C4—48no—
280C2×C4⋊C4—432no—
281C2×C4⋊C4—416no—
282C2×C4⋊C4—416no—
283C2×C4⋊C4C2×D4132yescomplemented
284C2×C22⋊C4—232no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—28no—
287C2×C22⋊C4—216no—
288C2×C22⋊C4—216no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—216no—
292C2×C22⋊C4—216no—
293C2×C22⋊C4—216no—
294C2×C22⋊C4—216no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—216no—
297C2×C22⋊C4—216no—
298C2×C22⋊C4—216no—
299C2×C22⋊C4—216no—
300C2×C22⋊C4—216no—
301C2×C22⋊C4—216no—
302C2×C22⋊C4—216no—
303C2×C22⋊C4—216no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—216no—
306C2×C22⋊C4—216no—
307C2×C22⋊C4—48no—
308C2×C22⋊C4—48no—
309C2×C22⋊C4—48no—
310C2×C22⋊C4—432no—
311C2×C22⋊C4—432no—
312C2×C22⋊C4—432no—
313C2×C22⋊C4—416no—
314C2×C22⋊C4—432no—
315C2×C22⋊C4—432no—
316C2×C22⋊C4—416no—
317C2×C22⋊C4—432no—
318C2×C22⋊C4C2×D4116yescomplemented
319C2×C42—232no—
320C2×C42—28no—
321C2×C42—28no—
322C2×C42—216no—
323C2×C42—216no—
324C2×C42—48no—
325C2×C42—432no—
326C2×C42C2×D4116yescomplemented
327#95—28no—
328#95—28no—
329#95—28no—
330#95—216no—
331#95—216no—
332#95C2×D4116yes—
333C24—28no—
334C24—216no—
335C24—216no—
336C24—216no—
337C24—216no—
338C24—216no—
339C24—28no—
340C24—216no—
341C24—216no—
342C24—28no—
343C24—216no—
344C24—216no—
345C24—22no—
346C24—24no—
347C24—24no—
348C24—24no—
349C24—24no—
350C24—24no—
351C24—22no—
352C24—24no—
353C24—22no—
354C24—24no—
355C24—24no—
356C24—22no—
357C24—24no—
358C24—24no—
359C24—24no—
360C24—24no—
361C24—24no—
362C24—24no—
363C24—24no—
364C24—24no—
365C24—22no—
366C24—24no—
367C24—22no—
368C24—24no—
369C24—48no—
370C24—44no—
371C24—48no—
372C24—48no—
373C24—48no—
374C24—48no—
375C24—44no—
376C24—48no—
377C24—48no—
378C24—48no—
379C24—48no—
380C24—44no—
381C24—44no—
382C24—48no—
383C24—48no—
384C24—48no—
385C24—48no—
386C24—48no—
387C24—44no—
388C24—44no—
389C24—48no—
390C24—48no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—48no—
399C24—48no—
400C24—48no—
401C24—48no—
402C24—48no—
403C24—48no—
404C24—44no—
405C24—48no—
406C24—48no—
407C24—48no—
408C24—48no—
409C24—48no—
410C24—48no—
411C24—48no—
412C24—48no—
413C24—44no—
414C24—48no—
415C24C22×D414yes—
416C24C22×D412yes—
417C24C22×D412yes—
418C24C22×D412yes—
419C24C22×D414yes—
420C24C2×#4118yes—
421C24C2×#4114yes—
422C24C2×#4112yes—
423C24C2×#4112yes—
424C24C2×#4114yes—
425C24H(5,𝔽2)14yes—
426C24H(5,𝔽2)12yes—
427C242−1+412yes—
428C24C2511yescharacteristic
429C2×D4—232no—
430C2×D4—264no—
431C2×D4—432no—
432C2×D4—432no—
433C2×D4—432no—
434C2×D4—432no—
435C2×D4—432no—
436C2×D4—432no—
437C2×D4—4128no—
438C2×D4—416no—
439C2×D4—4256no—
440C2×D4—432no—
441C2×D4—416no—
442C2×D4—432no—
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—216no—
446C22×C4—28no—
447C22×C4—216no—
448C22×C4—28no—
449C22×C4—216no—
450C22×C4—28no—
451C22×C4—28no—
452C22×C4—216no—
453C22×C4—28no—
454C22×C4—216no—
455C22×C4—216no—
456C22×C4—216no—
457C22×C4—216no—
458C22×C4—216no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—216no—
462C22×C4—28no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—28no—
477C22×C4—216no—
478C22×C4—216no—
479C22×C4—216no—
480C22×C4—216no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—48no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—48no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4#121116yes—
533C22×C4#121116yes—
534C22×C4#121132yes—
535C22×C4#127116yes—
536C22×C4C22×D418yes—
537C22×C4C22×D414yes—
538C22×C4C22×D414yes—
539C22×C4C22×D414yes—
540C22×C4C22×D414yes—
541C22×C4C22×D418yes—
542C22×C4C22×D418yes—
543C22×C4C22×D414yes—
544C22×C4C22×D414yes—
545C22×C4C22×D418yes—
546C22×C4C2×#4114yes—
547C22×C4C2×#4114yes—
548C22×C4C2×#4118yes—
549C4⋊C4—264no—
550C4⋊C4—432no—
551C4⋊C4—416no—
552C4⋊C4—416no—
553C22⋊C4—232no—
554C22⋊C4—432no—
555C22⋊C4—432no—
556C22⋊C4—432no—
557C22⋊C4—416no—
558C22⋊C4—432no—
559C22⋊C4—432no—
560C22⋊C4—416no—
561C22⋊C4—432no—
562C42—232no—
563C42—432no—
564C23—24no—
565C23—28no—
566C23—28no—
567C23—28no—
568C23—28no—
569C23—28no—
570C23—24no—
571C23—28no—
572C23—28no—
573C23—24no—
574C23—28no—
575C23—28no—
576C23—416no—
577C23—432no—
578C23—42no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—432no—
585C23—42no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—416no—
590C23—44no—
591C23—42no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—42no—
599C23—432no—
600C23—432no—
601C23—44no—
602C23—42no—
603C23—432no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—42no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—42no—
629C23—432no—
630C23—432no—
631C23—432no—
632C23—416no—
633C23—432no—
634C23—816no—
635C23—88no—
636C23—816no—
637C23—88no—
638C23—88no—
639C23—816no—
640C23—816no—
641C23—816no—
642C23—816no—
643C23—816no—
644C23—88no—
645C23—816no—
646C23—816no—
647C23—816no—
648C23C2×#12114yes—
649C23C2×#12118yes—
650C23C2×#12114yes—
651C23#52514yes—
652C23#52518yes—
653C23#52918yes—
654C23C2×#12714yes—
655C23#53214yes—
656C23#53218yes—
657C23#53514yes—
658C23#53714yes—
659C23#53818yes—
660C23#54218yes—
661C23D4214yes—
662C23D4218yes—
663C23#54618yes—
664C23#54618yes—
665C23#54714yes—
666C23#54814yes—
667C23#54818yes—
668C23#55018yes—
669C23#55118yes—
670C23#55314yes—
671C23C23×D411yescharacteristic
672C23C23×D411yescharacteristic
673C23C23×D411yescharacteristic
674C23C23×D412yes—
675C23C22×#4112yes—
676C23C22×#4111yescharacteristic
677C23C22×#4111yescharacteristic
678C23C22×#4112yes—
679C23C2×H(5,𝔽2)12yes—
680C23C2×H(5,𝔽2)11yescharacteristic
681C23C2×2−1+411yescharacteristic
682D4—4128no—
683D4—464no—
684C2×C4—232no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—28no—
688C2×C4—232no—
689C2×C4—24no—
690C2×C4—28no—
691C2×C4—232no—
692C2×C4—28no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—264no—
696C2×C4—24no—
697C2×C4—28no—
698C2×C4—24no—
699C2×C4—28no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—28no—
703C2×C4—28no—
704C2×C4—24no—
705C2×C4—24no—
706C2×C4—28no—
707C2×C4—24no—
708C2×C4—24no—
709C2×C4—28no—
710C2×C4—28no—
711C2×C4—28no—
712C2×C4—28no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—432no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—416no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—44no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—44no—
732C2×C4—42no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—88no—
740C2×C4—88no—
741C2×C4—816no—
742C2×C4C2×#12118yes—
743C2×C4C2×#12118yes—
744C2×C4C2×#121116yes—
745C2×C4C2×#12718yes—
746C22—48no—
747C22—48no—
748C22—48no—
749C22—48no—
750C22—44no—
751C22—44no—
752C22—48no—
753C22—48no—
754C22—48no—
755C22—48no—
756C22—44no—
757C22—48no—
758C22—84no—
759C22—84no—
760C22—84no—
761C22—82no—
762C22—84no—
763C22—82no—
764C22—82no—
765C22—84no—
766C22—84no—
767C22—84no—
768C22—84no—
769C22—84no—
770C22—84no—
771C22—82no—
772C22—864no—
773C22—832no—
774C22#239218yes—
775C22#241118yes—
776C22#241618yes—
777C22#2424116yes—
778C22#2426116yes—
779C22#2461116yes—
780C22#254018yes—
781C22#254118yes—
782C22#2554116yes—
783C22#266218yes—
784C22#285618yes—
785C22C22×#12112yes—
786C22C22×#12111yescharacteristic
787C22C22×#12111yescharacteristic
788C22C2×#52511yescharacteristic
789C22C2×#52512yes—
790C22C2×#52912yes—
791C22C22×#12711yescharacteristic
792C22C2×#53212yes—
793C22C2×#53211yescharacteristic
794C22C2×#53511yescharacteristic
795C22C2×#53711yescharacteristic
796C22C2×#53812yes—
797C22C2×#54212yes—
798C22C2×D4211yescharacteristic
799C22C2×D4212yes—
800C22C2×#54612yes—
801C22C2×#54612yes—
802C22C2×#54711yescharacteristic
803C22C2×#54812yes—
804C22C2×#54811yescharacteristic
805C22C2×#55012yes—
806C22C2×#55112yes—
807C22C2×#55311yescharacteristic
808C4—28no—
809C4—216no—
810C4—28no—
811C4—28no—
812C4—48no—
813C4—44no—
814C4—82no—
815C4—82no—
816C4—84no—
817C2—88no—
818C2—84no—
819C2#14815116yesdirect product factor
820C2C2×#239211yescharacteristic
821C2C2×#266211yescharacteristic
822C2C2×#242412yes—
823C2C2×#241611yescharacteristic
824C2C2×#246112yes—
825C2C2×#242612yes—
826C2C2×#241111yescharacteristic
827C2C2×#255412yes—
828C2C2×#254011yescharacteristic
829C2C2×#254111yescharacteristic
830C2C2×#285611yescharacteristic
subgroupG/H
center, socleC25C24
commutator, Frattini, cosocleC24C25
prime radicalC22×#392C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#396C2semidirect
2. C22×#394C2semidirect
4. C22×#390C2semidirect
5. C22×#390C2semidirect
6. C22×#388C2semidirect
7. C22×C4×C4⋊C4C2semidirect
8. #14815C2direct (N × H)
9. C2×#1444C2semidirect
10. C2×#1439C2semidirect
11. C2×#1438C2semidirect
12. C2×#1437C2semidirect
31. C2×#396C22semidirect
33. C2×#394C22semidirect
38. C2×#390C22semidirect
39. C2×#390C22semidirect
41. C2×#388C22semidirect
43. C2×C4×C4⋊C4C22semidirect
50. #1444C22semidirect
51. #1439C22semidirect
52. #1438C22semidirect
53. #1437C22semidirect
88. C22×C4⋊C4D4semidirect
118. C22×C22⋊C4D4semidirect
133. C22×C42D4semidirect
283. C2×C4⋊C4C2×D4semidirect
318. C2×C22⋊C4C2×D4semidirect
326. C2×C42C2×D4semidirect
819. C2#14815direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#3962
C22×#3942
C22×#3922
C22×#3902
C22×#3882
C22×C4×C4⋊C42
#148152
C2×#14442
C2×#14392
C2×#14382
C2×#14372