Finite Group Databasebeta

← C2×#14019 #514321

Subgroups — C2×#14019 #514321

Order 512.

9198 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4⋊C4C211yesmaximal, characteristic, complemented
2C22×#388C212yesmaximal, complemented
3C22×#386C211yesmaximal, characteristic
4C22×#386C211yesmaximal, characteristic
5C22×#386C211yesmaximal, characteristic
6C22×C4×C22⋊C4C211yesmaximal, characteristic, complemented
7#14019C2116yesmaximal, direct product factor
8C2×#1442C212yesmaximal, complemented
9C2×#1439C212yesmaximal, complemented
10C2×#1436C212yesmaximal, complemented
11C2×C22⋊#95C211yesmaximal, characteristic, 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⋊C4C2218yescomplemented
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2212yes—
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2212yes—
27C23×C22⋊C4C2211yescharacteristic
28C23×C22⋊C4C2211yescharacteristic
29C23×C42C2212yes—
30C2×#388—216no—
31C2×#388C22116yescomplemented
32C2×#386—28no—
33C2×#386—28no—
34C2×#386C4116yescomplemented
35C2×#386C2218yes—
36C2×#386C2218yes—
37C2×#386C2218yes—
38C2×C4×C22⋊C4—28no—
39C2×C4×C22⋊C4C2218yescomplemented
40C22×#95C2212yes—
41C22×#95C2212yes—
42C22×#95C2211yescharacteristic
43C22×#95C2212yes—
44C22×#95C2212yes—
45C22×#95C2212yes—
46C22×#95C2211yescharacteristic
47C22×#95C2212yes—
48C22×#95C2212yes—
49#1442C22116yescomplemented
50#1439C22116yescomplemented
51#1436C22116yescomplemented
52C22⋊#95C2218yescomplemented
53C22⋊#95C2218yescomplemented
54C26C2311yescharacteristic
55C26C2311yescharacteristic
56C23×D4—24no—
57C23×D4—24no—
58C23×D4—24no—
59C23×D4—24no—
60C23×D4—24no—
61C23×D4—24no—
62C23×D4C2×C418yes—
63C23×D4C2314yes—
64C24×C4—24no—
65C24×C4—24no—
66C24×C4—28no—
67C24×C4—28no—
68C24×C4—24no—
69C24×C4—24no—
70C24×C4—24no—
71C24×C4—28no—
72C24×C4—28no—
73C24×C4—24no—
74C24×C4—24no—
75C24×C4—44no—
76C24×C4—44no—
77C24×C4C2×C418yes—
78C24×C4D418yes—
79C24×C4C2311yescharacteristic
80C24×C4C2311yescharacteristic
81C24×C4C2314yes—
82C24×C4C2311yescharacteristic
83C24×C4C2312yes—
84C24×C4C2312yes—
85C24×C4C2311yescharacteristic
86C24×C4C2312yes—
87C24×C4C2314yes—
88C24×C4C2314yes—
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C22×C4⋊C4—2128no—
92C22×C4⋊C4—28no—
93C22×C4⋊C4—28no—
94C22×C4⋊C4—28no—
95C22×C4⋊C4—28no—
96C22×C4⋊C4—28no—
97C22×C4⋊C4—232no—
98C22×C4⋊C4—264no—
99C22×C4⋊C4D4116yescomplemented
100C22×C4⋊C4C2318yes—
101C22×C4⋊C4C2318yes—
102C22×C22⋊C4—24no—
103C22×C22⋊C4—24no—
104C22×C22⋊C4—24no—
105C22×C22⋊C4—24no—
106C22×C22⋊C4—28no—
107C22×C22⋊C4—28no—
108C22×C22⋊C4—24no—
109C22×C22⋊C4—24no—
110C22×C22⋊C4—24no—
111C22×C22⋊C4—28no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—28no—
115C22×C22⋊C4—28no—
116C22×C22⋊C4—44no—
117C22×C22⋊C4—44no—
118C22×C22⋊C4C2×C418yes—
119C22×C22⋊C4C2×C4116yescomplemented
120C22×C22⋊C4D418yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2318yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2318yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C42—28no—
129C22×C42—28no—
130C22×C42—44no—
131C22×C42C2318yes—
132#388—264no—
133#386—232no—
134#386—232no—
135#386C2×C4164yescomplemented
136C4×C22⋊C4—232no—
137C2×#95—28no—
138C2×#95—28no—
139C2×#95—24no—
140C2×#95—24no—
141C2×#95—28no—
142C2×#95—28no—
143C2×#95—28no—
144C2×#95—44no—
145C2×#95C2×C4116yescomplemented
146C2×#95C2318yes—
147C2×#95C2318yes—
148C2×#95C2318yes—
149C2×#95C2314yes—
150C2×#95C2318yes—
151C2×#95C2318yes—
152C2×#95C2314yes—
153C2×#95C2318yes—
154C2×#95C2318yes—
155C25—24no—
156C25—24no—
157C25—24no—
158C25—24no—
159C25—24no—
160C25—22no—
161C25—22no—
162C25—24no—
163C25—22no—
164C25—22no—
165C25—22no—
166C25—22no—
167C25—24no—
168C25—24no—
169C25C22×C414yes—
170C25C22×C414yes—
171C25C2×D414yes—
172C25C2×D414yes—
173C25#4114yes—
174C25#4114yes—
175C25#4114yes—
176C25#4114yes—
177C25C2412yes—
178C25C2412yes—
179C25C2411yescharacteristic
180C22×D4—232no—
181C22×D4—232no—
182C22×D4—232no—
183C22×D4—28no—
184C22×D4—28no—
185C22×D4—28no—
186C22×D4—28no—
187C22×D4—28no—
188C22×D4—28no—
189C22×D4—416no—
190C22×D4—416no—
191C22×D4—416no—
192C22×D4—416no—
193C22×D4C22×C4116yes—
194C23×C4—232no—
195C23×C4—264no—
196C23×C4—232no—
197C23×C4—232no—
198C23×C4—28no—
199C23×C4—24no—
200C23×C4—24no—
201C23×C4—22no—
202C23×C4—28no—
203C23×C4—24no—
204C23×C4—24no—
205C23×C4—22no—
206C23×C4—24no—
207C23×C4—264no—
208C23×C4—216no—
209C23×C4—216no—
210C23×C4—232no—
211C23×C4—232no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—28no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—22no—
221C23×C4—28no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—28no—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—232no—
244C23×C4—216no—
245C23×C4—216no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—24no—
249C23×C4—28no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—28no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—416no—
259C23×C4—48no—
260C23×C4—48no—
261C23×C4—432no—
262C23×C4—432no—
263C23×C4—432no—
264C23×C4—432no—
265C23×C4—416no—
266C23×C4—416no—
267C23×C4C22×C418yes—
268C23×C4C22×C4116yes—
269C23×C4C22×C414yes—
270C23×C4C22×C418yes—
271C23×C4C2×D418yes—
272C23×C4C2×D414yes—
273C23×C4C2×D418yes—
274C23×C4C2×D4116yes—
275C23×C4C2×D418yes—
276C23×C4C2×D414yes—
277C23×C4C2×D418yes—
278C23×C4#4118yes—
279C23×C4C2412yes—
280C23×C4C2412yes—
281C23×C4C2414yes—
282C23×C4C2412yes—
283C23×C4C2414yes—
284C23×C4C2412yes—
285C23×C4C2414yes—
286C23×C4C2414yes—
287C23×C4C2412yes—
288C2×C4⋊C4—264no—
289C2×C4⋊C4—2256no—
290C2×C4⋊C4—264no—
291C2×C4⋊C4—216no—
292C2×C4⋊C4—216no—
293C2×C4⋊C4—216no—
294C2×C4⋊C4—216no—
295C2×C4⋊C4—216no—
296C2×C4⋊C4C2×D4132yescomplemented
297C2×C22⋊C4—232no—
298C2×C22⋊C4—232no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—264no—
304C2×C22⋊C4—216no—
305C2×C22⋊C4—216no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—216no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—216no—
313C2×C22⋊C4—216no—
314C2×C22⋊C4—48no—
315C2×C22⋊C4—48no—
316C2×C22⋊C4—432no—
317C2×C22⋊C4—416no—
318C2×C22⋊C4—416no—
319C2×C22⋊C4—416no—
320C2×C22⋊C4C22×C4116yes—
321C2×C22⋊C4C22×C4132yescomplemented
322C2×C22⋊C4C2×D4116yes—
323C2×C42—216no—
324C2×C42—216no—
325C2×C42—48no—
326C2×C42—432no—
327#95—216no—
328#95—216no—
329#95—28no—
330#95—28no—
331#95—216no—
332#95—216no—
333#95—216no—
334#95—48no—
335#95C22×C4132yescomplemented
336C24—216no—
337C24—216no—
338C24—28no—
339C24—28no—
340C24—216no—
341C24—28no—
342C24—28no—
343C24—216no—
344C24—216no—
345C24—216no—
346C24—216no—
347C24—216no—
348C24—216no—
349C24—216no—
350C24—216no—
351C24—216no—
352C24—24no—
353C24—24no—
354C24—24no—
355C24—24no—
356C24—28no—
357C24—216no—
358C24—28no—
359C24—28no—
360C24—216no—
361C24—24no—
362C24—22no—
363C24—22no—
364C24—24no—
365C24—22no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—24no—
370C24—24no—
371C24—44no—
372C24—44no—
373C24—44no—
374C24—44no—
375C24—48no—
376C24—44no—
377C24—44no—
378C24—44no—
379C24—44no—
380C24—48no—
381C24—48no—
382C24—48no—
383C24—48no—
384C24—48no—
385C24—48no—
386C24—48no—
387C24—48no—
388C24—48no—
389C24#117116yes—
390C24C4×D4116yes—
391C24C4×D4116yes—
392C24#121116yes—
393C24#123116yes—
394C24#124116yes—
395C24#126116yes—
396C24C23×C414yes—
397C24C23×C414yes—
398C24C23×C412yes—
399C24C22×D414yes—
400C24C22×D414yes—
401C24C22×D412yes—
402C24C22×D414yes—
403C24C22×D412yes—
404C24C2×#4114yes—
405C24C2×#4114yes—
406C24C2×#4114yes—
407C24C2×#4114yes—
408C24C2×#4112yes—
409C24C2×#4112yes—
410C24C2×#4112yes—
411C24C2×#4114yes—
412C24C2×#4112yes—
413C24H(5,𝔽2)14yes—
414C242−1+414yes—
415C24C2511yescharacteristic
416C2×D4—232no—
417C2×D4—232no—
418C2×D4—232no—
419C2×D4—416no—
420C2×D4—416no—
421C2×D4—416no—
422C2×D4—416no—
423C2×D4—4128no—
424C22×C4—232no—
425C22×C4—264no—
426C22×C4—232no—
427C22×C4—2256no—
428C22×C4—232no—
429C22×C4—216no—
430C22×C4—216no—
431C22×C4—216no—
432C22×C4—28no—
433C22×C4—216no—
434C22×C4—216no—
435C22×C4—216no—
436C22×C4—28no—
437C22×C4—216no—
438C22×C4—216no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—264no—
447C22×C4—232no—
448C22×C4—28no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—28no—
452C22×C4—28no—
453C22×C4—216no—
454C22×C4—28no—
455C22×C4—216no—
456C22×C4—232no—
457C22×C4—28no—
458C22×C4—216no—
459C22×C4—28no—
460C22×C4—216no—
461C22×C4—216no—
462C22×C4—216no—
463C22×C4—216no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
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—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
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—24no—
491C22×C4—24no—
492C22×C4—232no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—416no—
504C22×C4—4128no—
505C22×C4—432no—
506C22×C4—432no—
507C22×C4—432no—
508C22×C4—432no—
509C22×C4—4128no—
510C22×C4—416no—
511C22×C4—416no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—48no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4C4×D4132yes—
541C22×C4#120116yes—
542C22×C4C23×C414yes—
543C22×C4C23×C418yes—
544C22×C4C23×C418yes—
545C22×C4C22×D418yes—
546C22×C4C22×D414yes—
547C22×C4C22×D418yes—
548C22×C4C22×D418yes—
549C22×C4C22×D414yes—
550C22×C4C22×D418yes—
551C22×C4C2×#4118yes—
552C4⋊C4—264no—
553C4⋊C4—264no—
554C22⋊C4—232no—
555C22⋊C4—232no—
556C22⋊C4—264no—
557C22⋊C4—432no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C42—432no—
562C23—232no—
563C23—232no—
564C23—264no—
565C23—264no—
566C23—28no—
567C23—28no—
568C23—24no—
569C23—232no—
570C23—24no—
571C23—28no—
572C23—232no—
573C23—24no—
574C23—24no—
575C23—28no—
576C23—232no—
577C23—28no—
578C23—28no—
579C23—28no—
580C23—28no—
581C23—28no—
582C23—264no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—264no—
587C23—232no—
588C23—24no—
589C23—28no—
590C23—24no—
591C23—24no—
592C23—28no—
593C23—416no—
594C23—432no—
595C23—432no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—416no—
615C23—416no—
616C23—88no—
617C23—88no—
618C23—88no—
619C23—88no—
620C23—816no—
621C23—816no—
622C23#388164yescomplemented
623C23C2×#11718yes—
624C23C2×#11714yes—
625C23C2×C4×D418yes—
626C23C2×C4×D418yes—
627C23C2×C4×D414yes—
628C23C2×C4×D418yes—
629C23C2×C4×D414yes—
630C23#52018yes—
631C23C2×#12014yes—
632C23C2×#12118yes—
633C23C2×#12114yes—
634C23C2×#12318yes—
635C23C2×#12314yes—
636C23#52514yes—
637C23#52518yes—
638C23C2×#12418yes—
639C23C2×#12414yes—
640C23C2×#12618yes—
641C23C2×#12614yes—
642C23#53414yes—
643C23#53614yes—
644C23#53918yes—
645C23D4218yes—
646C23#54618yes—
647C23#54718yes—
648C23#54818yes—
649C23#54818yes—
650C23#55218yes—
651C23#55318yes—
652C23#55318yes—
653C23C24×C411yescharacteristic
654C23C23×D411yescharacteristic
655C23C23×D412yes—
656C23C23×D411yescharacteristic
657C23C22×#4111yescharacteristic
658C23C22×#4111yescharacteristic
659C23C22×#4111yescharacteristic
660C23C22×#4112yes—
661C23C22×#4111yescharacteristic
662C23C2×H(5,𝔽2)12yes—
663C23C2×2−1+412yes—
664D4—464no—
665C2×C4—2128no—
666C2×C4—28no—
667C2×C4—28no—
668C2×C4—28no—
669C2×C4—24no—
670C2×C4—232no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—28no—
676C2×C4—28no—
677C2×C4—264no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—28no—
684C2×C4—24no—
685C2×C4—28no—
686C2×C4—24no—
687C2×C4—28no—
688C2×C4—24no—
689C2×C4—28no—
690C2×C4—28no—
691C2×C4—28no—
692C2×C4—28no—
693C2×C4—464no—
694C2×C4—464no—
695C2×C4—432no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—416no—
699C2×C4—432no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
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—432no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—416no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—88no—
729C2×C4—88no—
730C2×C4C2×C4×D4116yes—
731C2×C4C2×#12018yes—
732C22—28no—
733C22—28no—
734C22—216no—
735C22—216no—
736C22—28no—
737C22—216no—
738C22—216no—
739C22—28no—
740C22—28no—
741C22—2128no—
742C22—28no—
743C22—44no—
744C22—48no—
745C22—48no—
746C22—44no—
747C22—44no—
748C22—82no—
749C22—82no—
750C22—84no—
751C22—84no—
752C22—82no—
753C22—82no—
754C22—832no—
755C22C2×#38818yes—
756C22C2×#388116yescomplemented
757C22C4×#12018yes—
758C22#232218yes—
759C22#2352116yes—
760C22#2361116yes—
761C22#241018yes—
762C22#241318yes—
763C22#243618yes—
764C22#2443116yes—
765C22#2481116yes—
766C22#259118yes—
767C22C22×#11711yescharacteristic
768C22C22×C4×D411yescharacteristic
769C22C22×C4×D412yes—
770C22C22×C4×D411yescharacteristic
771C22C2×#52012yes—
772C22C22×#12011yescharacteristic
773C22C22×#12111yescharacteristic
774C22C22×#12311yescharacteristic
775C22C2×#52511yescharacteristic
776C22C2×#52512yes—
777C22C22×#12411yescharacteristic
778C22C22×#12611yescharacteristic
779C22C2×#53411yescharacteristic
780C22C2×#53611yescharacteristic
781C22C2×#53912yes—
782C22C2×D4212yes—
783C22C2×#54612yes—
784C22C2×#54712yes—
785C22C2×#54812yes—
786C22C2×#54812yes—
787C22C2×#55212yes—
788C22C2×#55312yes—
789C22C2×#55312yes—
790C4—28no—
791C4—216no—
792C4—48no—
793C4—44no—
794C4—48no—
795C4—48no—
796C4—44no—
797C4—82no—
798C4—82no—
799C2—216no—
800C2—84no—
801C2#14019116yesdirect product factor
802C2C22×#38811yescharacteristic
803C2C2×C4×#12011yescharacteristic
804C2C2×#232211yescharacteristic
805C2C2×#235212yes—
806C2C2×#236112yes—
807C2C2×#241011yescharacteristic
808C2C2×#244312yes—
809C2C2×#248112yes—
810C2C2×#243611yescharacteristic
811C2C2×#241311yescharacteristic
812C2C2×#259111yescharacteristic
subgroupG/H
center, socleC25C24
commutatorC23C24×C4
Frattini, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C23 ▷ 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×#388C2semidirect
6. C22×C4×C22⋊C4C2semidirect
7. #14019C2direct (N × H)
8. C2×#1442C2semidirect
9. C2×#1439C2semidirect
10. C2×#1436C2semidirect
11. C2×C22⋊#95C2semidirect
12. C2×C22⋊#95C2semidirect
21. C23×C4⋊C4C22semidirect
31. C2×#388C22semidirect
34. C2×#386C4semidirect
39. C2×C4×C22⋊C4C22semidirect
49. #1442C22semidirect
50. #1439C22semidirect
51. #1436C22semidirect
52. C22⋊#95C22semidirect
53. C22⋊#95C22semidirect
99. C22×C4⋊C4D4semidirect
119. C22×C22⋊C4C2×C4semidirect
135. #386C2×C4semidirect
145. C2×#95C2×C4semidirect
296. C2×C4⋊C4C2×D4semidirect
321. C2×C22⋊C4C22×C4semidirect
335. #95C22×C4semidirect
622. C23#388semidirect
756. C22C2×#388semidirect
801. C2#14019direct (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×#3882
C22×#3862
C22×C4×C22⋊C42
#140192
C2×#14422
C2×#14392
C2×#14362
C2×C22⋊#952