Finite Group Databasebeta

← #357671

Subgroups — #357671

Order 512.

3014 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#428C211yesmaximal, characteristic, complemented
2C22×#408C211yesmaximal, characteristic
3C2×#2311C211yesmaximal, characteristic
4C2×#2311C211yesmaximal, characteristic
5C2×#1736C211yesmaximal, characteristic, complemented
6C2×#1735C211yesmaximal, characteristic, complemented
7C22×#340C211yesmaximal, characteristic, complemented
8#11096C214yesmaximal, complemented
9#11095C214yesmaximal, complemented
10C23×#41C2211yescharacteristic
11C23×M16C2211yescharacteristic
12C24×C8C2211yescharacteristic
13C22×#117C2211yescharacteristic
14C22×#117C2211yescharacteristic
15C23×C4⋊C4C2211yescharacteristic
16C23×C4⋊C4C2211yescharacteristic
17C2×#428—24no—
18C2×#428—24no—
19C2×#428—24no—
20C22×#107C2212yes—
21C22×#106C2212yes—
22C2×#408—24no—
23C2×#408—24no—
24C2×#408C418yescomplemented
25C22×C22⋊C8C2214yes—
26#2311—24no—
27#2311—24no—
28#2311—24no—
29#2311—24no—
30C2×#391—21no—
31C2×#391—21no—
32C2×#390—21no—
33C2×#390—21no—
34C2×#386—22no—
35C2×#386—22no—
36C2×#380C2212yes—
37C2×#380C2214yes—
38C2×#380C2212yes—
39#1736—24no—
40#1735—24no—
41C2×#340—24no—
42C2×#340C2212yes—
43C2×#340C2214yes—
44C2×#340C2214yes—
45C2×#340C2212yes—
46C22×#41—22no—
47C22×#41—22no—
48C22×#41—22no—
49C22×#41—22no—
50C22×#41—22no—
51C22×#41—22no—
52C22×#41—22no—
53C22×#41—22no—
54C22×#41—22no—
55C22×#41—22no—
56C22×#41—22no—
57C22×#41—22no—
58C22×#41C2×C414yes—
59C22×#41Q814yes—
60C23×Q8D411yescharacteristic
61C23×D4D412yes—
62C23×D4D411yescharacteristic
63C24×C4—21no—
64C24×C4—21no—
65C24×C4C2312yes—
66C24×C4C2311yescharacteristic
67C22×M16—22no—
68C22×M16—22no—
69C22×M16—22no—
70C22×M16—22no—
71C22×M16C2×C414yes—
72C22×M16D414yes—
73C22×M16D414yes—
74C23×C8—22no—
75C23×C8—22no—
76C23×C8—22no—
77C23×C8—22no—
78C23×C8—22no—
79C23×C8—22no—
80C23×C8C2×C414yes—
81C23×C8C2312yes—
82C23×C8C2312yes—
83C2×#117—22no—
84C2×#117—22no—
85C2×#117—22no—
86C2×#117—22no—
87C2×#117—22no—
88C2×#117—22no—
89C2×#117—22no—
90C2×#117—22no—
91C2×#117—22no—
92C2×#117—22no—
93C2×#117D414yes—
94C2×#117D414yes—
95C22×C4⋊C4—22no—
96C22×C4⋊C4—22no—
97C22×C4⋊C4—22no—
98C22×C4⋊C4—22no—
99C22×C4⋊C4—22no—
100C22×C4⋊C4—22no—
101C22×C4⋊C4—22no—
102C22×C4⋊C4—22no—
103C22×C4⋊C4—22no—
104C22×C4⋊C4—22no—
105C22×C4⋊C4—21no—
106C22×C4⋊C4—21no—
107C22×C4⋊C4D414yes—
108C22×C4⋊C4D414yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C22⋊C4—21no—
115C22×C22⋊C4—21no—
116C22×C22⋊C4—22no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—22no—
119C22×C42—21no—
120C22×C42—21no—
121#428—232no—
122C2×#107—24no—
123C2×#107—24no—
124C2×#107—24no—
125C2×#106—24no—
126C2×#106—24no—
127C2×#106—24no—
128#408—232no—
129C2×C22⋊C8—28no—
130C2×C22⋊C8—28no—
131C2×C22⋊C8C2×C4116yescomplemented
132#391—28no—
133#391—28no—
134#390—28no—
135#390—28no—
136#386—216no—
137#386—216no—
138#380—28no—
139#380—24no—
140#380—24no—
141#380—24no—
142#380—24no—
143#380—28no—
144C2×#95—22no—
145C2×#95—24no—
146C2×#95—22no—
147#340—28no—
148#340—28no—
149#340—24no—
150#340—24no—
151C25C2×D412yes—
152C25C2×D411yescharacteristic
153C2×#41—28no—
154C2×#41—28no—
155C2×#41—28no—
156C2×#41—28no—
157C2×#41—28no—
158C2×#41—28no—
159C2×#41—28no—
160C2×#41—28no—
161C2×#41—28no—
162C2×#41—28no—
163C2×#41—28no—
164C2×#41—28no—
165C2×#41—44no—
166C2×#41—44no—
167C2×#41—44no—
168C2×#41—44no—
169C2×#41—44no—
170C2×#41—44no—
171C2×#41—44no—
172C2×#41—44no—
173C2×#41—44no—
174C2×#41—44no—
175C2×#41—44no—
176C2×#41—44no—
177C2×#41—44no—
178C2×#41—44no—
179C2×#41—44no—
180C2×#41—44no—
181C22×Q8—22no—
182C22×Q8—22no—
183C22×Q8—22no—
184C22×Q8—22no—
185C22×Q8—22no—
186C22×Q8—22no—
187C22×Q8C4⋊C414yes—
188C22×D4—24no—
189C22×D4—24no—
190C22×D4—24no—
191C22×D4—24no—
192C22×D4—24no—
193C22×D4—24no—
194C22×D4—22no—
195C22×D4—22no—
196C22×D4—22no—
197C22×D4—22no—
198C22×D4—22no—
199C22×D4—22no—
200C22×D4C4⋊C418yes—
201C22×D4C4⋊C414yes—
202C23×C4—22no—
203C23×C4—22no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—22no—
214C23×C4—21no—
215C23×C4—21no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—42no—
222C23×C4—42no—
223C23×C4—42no—
224C23×C4—42no—
225C23×C4—82no—
226C23×C4—82no—
227C23×C4—82no—
228C23×C4—82no—
229C23×C4C22×C414yes—
230C23×C4C22×C412yes—
231C23×C4C2×D412yes—
232C23×C4C2×D412yes—
233C23×C4C2×D412yes—
234C23×C4C2×D411yescharacteristic
235C23×C4C2×D412yes—
236C23×C4C2×D412yes—
237C23×C4C2×D412yes—
238C23×C4C2×D412yes—
239C23×C4C2×Q814yes—
240C23×C4C2×Q812yes—
241C23×C4#4112yes—
242C23×C4#4112yes—
243C23×C4#4112yes—
244C23×C4#4112yes—
245C23×C4#4112yes—
246C23×C4#4112yes—
247C23×C4C2411yescharacteristic
248C2×M16—28no—
249C2×M16—28no—
250C2×M16—28no—
251C2×M16—28no—
252C2×M16—28no—
253C2×M16—28no—
254C2×M16C22⋊C4116yescomplemented
255C22×C8—22no—
256C22×C8—22no—
257C22×C8—22no—
258C22×C8—22no—
259C22×C8—28no—
260C22×C8—28no—
261C22×C8—28no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—44no—
269C22×C8—44no—
270C22×C8—44no—
271C22×C8—44no—
272C22×C8C22×C414yes—
273C22×C8C22×C414yes—
274C22×C8C2×D414yes—
275C22×C8C2×D414yes—
276#117—28no—
277#117—28no—
278#117—28no—
279#117—28no—
280#117—44no—
281#117—44no—
282#117—44no—
283#117—44no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—42no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—42no—
319C2×C4⋊C4—42no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4C2×D414yes—
324C2×C4⋊C4C2×D414yes—
325C2×C4⋊C4C2×D414yes—
326C2×C4⋊C4C2×D412yes—
327C2×C4⋊C4C2×D412yes—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—216no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—42no—
337C2×C22⋊C4—84no—
338C2×C22⋊C4—84no—
339C2×C22⋊C4—84no—
340C2×C22⋊C4—84no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—42no—
344C2×C42—42no—
345C2×C42—42no—
346C2×C42—42no—
347#107—216no—
348#106—216no—
349C22⋊C8—232no—
350#95—28no—
351#95—28no—
352#95—216no—
353C24—22no—
354C24—22no—
355C24—22no—
356C24—22no—
357C24—22no—
358C24—22no—
359C24—22no—
360C24—22no—
361C24—22no—
362C24—22no—
363C24—24no—
364C24—24no—
365C24—24no—
366C24—24no—
367C24C2×C4⋊C414yes—
368C24C2×C4⋊C412yes—
369C24#12012yes—
370C24#12012yes—
371C24#12112yes—
372C24#12112yes—
373C24#12312yes—
374C24#12312yes—
375C24C22×D411yescharacteristic
376#41—416no—
377#41—416no—
378#41—416no—
379#41—416no—
380#41—416no—
381#41—416no—
382#41—416no—
383#41—416no—
384C2×Q8—28no—
385C2×Q8—28no—
386C2×Q8—28no—
387C2×Q8—44no—
388C2×Q8—44no—
389C2×Q8—44no—
390C2×Q8—44no—
391C2×D4—216no—
392C2×D4—216no—
393C2×D4—216no—
394C2×D4—28no—
395C2×D4—28no—
396C2×D4—28no—
397C2×D4—48no—
398C2×D4—48no—
399C2×D4—48no—
400C2×D4—48no—
401C2×D4—44no—
402C2×D4—44no—
403C2×D4—44no—
404C2×D4—44no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—24no—
412C22×C4—24no—
413C22×C4—24no—
414C22×C4—24no—
415C22×C4—24no—
416C22×C4—24no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—24no—
420C22×C4—24no—
421C22×C4—24no—
422C22×C4—24no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—24no—
426C22×C4—24no—
427C22×C4—24no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—42no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—44no—
457C22×C4—44no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—44no—
461C22×C4—44no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—48no—
467C22×C4—48no—
468C22×C4—84no—
469C22×C4—84no—
470C22×C4—88no—
471C22×C4—88no—
472C22×C4—84no—
473C22×C4—84no—
474C22×C4—88no—
475C22×C4—88no—
476C22×C4C2×C22⋊C414yes—
477C22×C4C2×C4⋊C414yes—
478C22×C4C2×C4⋊C412yes—
479C22×C4#11714yes—
480C22×C4C4×D414yes—
481C22×C4C4×D414yes—
482C22×C4C4×D414yes—
483C22×C4C4×D414yes—
484C22×C4#12014yes—
485C22×C4#12012yes—
486C22×C4#12012yes—
487C22×C4#12114yes—
488C22×C4#12114yes—
489C22×C4#12114yes—
490C22×C4#12114yes—
491C22×C4#12114yes—
492C22×C4#12114yes—
493C22×C4#12112yes—
494C22×C4#12112yes—
495C22×C4C22⋊Q814yes—
496C22×C4C22⋊Q814yes—
497C22×C4C22⋊Q814yes—
498C22×C4C22⋊Q814yes—
499C22×C4C22⋊Q814yes—
500C22×C4C22⋊Q814yes—
501C22×C4#12314yes—
502C22×C4#12314yes—
503C22×C4#12314yes—
504C22×C4#12312yes—
505C22×C4#12312yes—
506C22×C4#12414yes—
507C22×C4#12414yes—
508C22×C4#12414yes—
509C22×C4#12614yes—
510C22×C4#12614yes—
511C22×C4#12714yes—
512C22×C4C23×C411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×Q811yescharacteristic
520C22×C4C2×#4111yescharacteristic
521C22×C4C2×#4111yescharacteristic
522C22×C4C2×#4111yescharacteristic
523C22×C4C2×#4111yescharacteristic
524C22×C4C2×#4111yescharacteristic
525C22×C4C2×#4111yescharacteristic
526M16—232no—
527C2×C8—24no—
528C2×C8—24no—
529C2×C8—24no—
530C2×C8—24no—
531C2×C8—24no—
532C2×C8—24no—
533C2×C8—24no—
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—42no—
537C2×C8—42no—
538C2×C8—42no—
539C2×C8—42no—
540C2×C8—416no—
541C2×C8C2×C22⋊C418yes—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—41no—
555C4⋊C4—41no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—41no—
561C4⋊C4—41no—
562C4⋊C4—48no—
563C4⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C22⋊C4—816no—
569C42—48no—
570C42—48no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—28no—
588C23—28no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23#38014yes—
611C23#38514yes—
612C23#38514yes—
613C23#39214yes—
614C23#39414yes—
615C23#39414yes—
616C23#39714yes—
617C23C22×C4⋊C411yescharacteristic
618C23C2×#12011yescharacteristic
619C23C2×#12011yescharacteristic
620C23C2×#12111yescharacteristic
621C23C2×#12111yescharacteristic
622C23C2×#12311yescharacteristic
623C23C2×#12311yescharacteristic
624C23#57612yes—
625C23#57712yes—
626C23#57712yes—
627C23#57812yes—
628Q8—416no—
629D4—432no—
630D4—416no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—48no—
659C2×C4—44no—
660C2×C4—816no—
661C2×C4—816no—
662C2×C4—84no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4—82no—
666C2×C4—82no—
667C2×C4—82no—
668C2×C4—82no—
669C2×C4—82no—
670C2×C4—82no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—82no—
674C2×C4—82no—
675C2×C4#38014yes—
676C2×C4#38514yes—
677C2×C4#38514yes—
678C2×C4#38618yes—
679C2×C4#38818yes—
680C2×C4#38818yes—
681C2×C4#39018yes—
682C2×C4#39214yes—
683C2×C4#39318yes—
684C2×C4#39414yes—
685C2×C4#39414yes—
686C2×C4#39618yes—
687C2×C4#39618yes—
688C2×C4#39714yes—
689C2×C4#39918yes—
690C2×C4C22×C22⋊C411yescharacteristic
691C2×C4C2×#11711yescharacteristic
692C2×C4C2×C4×D411yescharacteristic
693C2×C4C2×C4×D411yescharacteristic
694C2×C4C2×C4×D411yescharacteristic
695C2×C4C2×C4×D411yescharacteristic
696C2×C4C2×#12011yescharacteristic
697C2×C4C2×#12111yescharacteristic
698C2×C4C2×#12111yescharacteristic
699C2×C4C2×#12111yescharacteristic
700C2×C4C2×#12111yescharacteristic
701C2×C4C2×#12111yescharacteristic
702C2×C4C2×#12111yescharacteristic
703C2×C4C2×C22⋊Q811yescharacteristic
704C2×C4C2×C22⋊Q811yescharacteristic
705C2×C4C2×C22⋊Q811yescharacteristic
706C2×C4C2×C22⋊Q811yescharacteristic
707C2×C4C2×C22⋊Q811yescharacteristic
708C2×C4C2×C22⋊Q811yescharacteristic
709C2×C4C2×#12311yescharacteristic
710C2×C4C2×#12311yescharacteristic
711C2×C4C2×#12311yescharacteristic
712C2×C4C2×#12411yescharacteristic
713C2×C4C2×#12411yescharacteristic
714C2×C4C2×#12411yescharacteristic
715C2×C4C2×#12611yescharacteristic
716C2×C4C2×#12611yescharacteristic
717C2×C4C2×#12711yescharacteristic
718C8—28no—
719C8—44no—
720C22—28no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—24no—
725C22—28no—
726C22—28no—
727C22—24no—
728C22—24no—
729C22—28no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—48no—
734C22—48no—
735C22—84no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—84no—
741C22#143918yes—
742C22C2×#38011yescharacteristic
743C22C2×#38511yescharacteristic
744C22C2×#38511yescharacteristic
745C22C2×#39211yescharacteristic
746C22C2×#39411yescharacteristic
747C22C2×#39411yescharacteristic
748C22C2×#39711yescharacteristic
749C22#291212yes—
750C22#291312yes—
751C22#300811yescharacteristic
752C22#300911yescharacteristic
753C22#301011yescharacteristic
754C22#301111yescharacteristic
755C22#301212yes—
756C22#301312yes—
757C22#306212yes—
758C22#306212yes—
759C22#306312yes—
760C22#306312yes—
761C22#309612yes—
762C22#309712yes—
763C22#309812yes—
764C22#309912yes—
765C4—44no—
766C4—82no—
767C4—84no—
768C4—82no—
769C4—84no—
770C4—84no—
771C4#143918yes—
772C4C2×#38611yescharacteristic
773C4C2×#38811yescharacteristic
774C4C2×#38811yescharacteristic
775C4C2×#39011yescharacteristic
776C4C2×#39311yescharacteristic
777C4C2×#39611yescharacteristic
778C4C2×#39611yescharacteristic
779C4C2×#39911yescharacteristic
780C2—28no—
781C2—84no—
782C2C2×#143911yescharacteristic
783C2#2066412yes—
784C2#2084711yescharacteristic
785C2#2084811yescharacteristic
786C2#2084912yes—
787C2#2339311yescharacteristic
788C2#2339411yescharacteristic
789C2#2348311yescharacteristic
790C2#2348411yescharacteristic
791C2#2348512yes—
792C2#2364312yes—
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×#41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×#41 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#428C2semidirect
5. C2×#1736C2semidirect
6. C2×#1735C2semidirect
7. C22×#340C2semidirect
8. #11096C2semidirect
9. #11095C2semidirect
24. C2×#408C4semidirect
131. C2×C22⋊C8C2×C4semidirect
254. C2×M16C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#4282
C22×#4082
C2×#23112
C2×#17362
C2×#17352
C22×#3402
#110962
#110952