Finite Group Databasebeta

← C2×#26554 #6439265

Subgroups — C2×#26554 #6439265

Order 512.

2678 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#483C211yesmaximal, characteristic, complemented
2C22×C4×SD16C211yesmaximal, characteristic, complemented
3C2×#2423C211yesmaximal, characteristic, complemented
4C2×#2361C211yesmaximal, characteristic
5#26554C2116yesmaximal, direct product factor
6C2×#2094C211yesmaximal, characteristic, complemented
7C2×#2055C211yesmaximal, characteristic, complemented
8C2×#2034C211yesmaximal, characteristic
9C2×#2000C211yesmaximal, characteristic
10C2×#1948C211yesmaximal, characteristic, complemented
11C2×#1941C211yesmaximal, characteristic, complemented
12C2×#1927C211yesmaximal, characteristic, complemented
13C2×#1923C211yesmaximal, characteristic, complemented
14C2×#1865C211yesmaximal, characteristic, complemented
15C2×#1864C211yesmaximal, characteristic, complemented
16C2×#1853C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4—21no—
22C22×C4×D4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C2×#483—28no—
25C2×#483C2218yescomplemented
26C2×C4×SD16—28no—
27C2×C4×SD16C2218yescomplemented
28C22×#106C2211yescharacteristic
29C22×#106C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×#106C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2423—24no—
44#2423C2218yescomplemented
45C2×#399—21no—
46C2×#398—21no—
47#2361—24no—
48#2361C2218yes—
49C2×#391C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#388—21no—
54C2×#388—21no—
55C2×#387—21no—
56C2×#386—21no—
57C2×#385—21no—
58C2×#384C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2094C2218yescomplemented
63#2055C2218yescomplemented
64#2034C2218yes—
65#2000C2218yes—
66#1948C2218yescomplemented
67#1941C2218yescomplemented
68#1927C2218yescomplemented
69#1923C2218yescomplemented
70#1865C2218yescomplemented
71#1864C2218yescomplemented
72#1853C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4—21no—
84C24×C4C2311yescharacteristic
85C22×SD16—24no—
86C22×SD16—24no—
87C22×SD16—24no—
88C22×SD16C2314yes—
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C2×C22⋊Q8—22no—
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—42no—
96C2×C22⋊Q8C2314yes—
97C2×#121—24no—
98C2×#121—22no—
99C2×#121—24no—
100C2×#121C2314yes—
101C2×C4×Q8—22no—
102C2×C4×Q8—24no—
103C2×C4×Q8—42no—
104C2×C4×Q8C2314yes—
105C2×C4×D4—28no—
106C2×C4×D4—24no—
107C2×C4×D4—22no—
108C2×C4×D4—42no—
109C2×C4×D4—48no—
110C2×C4×D4C2314yes—
111C22×C4⋊C4—24no—
112C22×C4⋊C4—22no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—42no—
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4D411yescharacteristic
135C22×C22⋊C4D411yescharacteristic
136C22×C42—21no—
137C22×C42—21no—
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#483—232no—
141C4×SD16—232no—
142C2×#106—24no—
143C2×#106—24no—
144C2×#106—24no—
145C2×#106—24no—
146C2×#106—42no—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×#106C2314yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8—24no—
153C2×C4⋊C8C2314yes—
154C2×#103—24no—
155C2×#103—24no—
156C2×#103D418yescomplemented
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102—24no—
161C2×#102—24no—
162C2×#102—42no—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×C22⋊C8—24no—
167C2×C22⋊C8—24no—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2314yes—
170C2×C4×C8—24no—
171C2×C4×C8C2314yes—
172#399—28no—
173#398—28no—
174#391—22no—
175#391C2314yes—
176#390—22no—
177#390C2314yes—
178#389—22no—
179#389—22no—
180#389C2314yes—
181#389C2314yes—
182#388—28no—
183#388—28no—
184#387—28no—
185#386—28no—
186#385—28no—
187#384—22no—
188#384C2314yes—
189#380—22no—
190#380C2314yes—
191C4×C4⋊C4—22no—
192C4×C4⋊C4C2314yes—
193C4×C22⋊C4D414yes—
194C4×C22⋊C4C2314yes—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95D411yescharacteristic
202C2×#95D411yescharacteristic
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#336C2314yes—
208#336C2314yes—
209C25—21no—
210C25C2×D411yescharacteristic
211C22×Q8—21no—
212C22×Q8—22no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—22no—
216C22×Q8—22no—
217C22×Q8C2×D414yes—
218C22×Q8C2412yes—
219C22×D4—28no—
220C22×D4—24no—
221C22×D4—22no—
222C22×D4—21no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4#4114yes—
230C22×D4C2412yes—
231C23×C4—21no—
232C23×C4—21no—
233C23×C4—21no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—82no—
251C23×C4—82no—
252C23×C4C2×D412yes—
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2412yes—
259C23×C4C2411yescharacteristic
260C2×SD16—232no—
261C2×SD16—28no—
262C2×SD16—28no—
263C2×SD16—28no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8C2×D414yes—
275C22×C8#4114yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22⋊Q8—28no—
281C22⋊Q8—44no—
282C22⋊Q8—48no—
283#121—216no—
284#121—28no—
285#121—28no—
286C4×Q8—28no—
287C4×Q8—44no—
288C4×Q8—48no—
289C4×D4—28no—
290C4×D4—44no—
291C4×D4—48no—
292C4×D4—432no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—28no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—48no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—82no—
325C2×C4⋊C4—82no—
326C2×C4⋊C4C2×D414yes—
327C2×C4⋊C4#4114yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—42no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—82no—
346C2×C22⋊C4—82no—
347C2×C22⋊C4SD1618yescomplemented
348C2×C22⋊C4C2×D414yes—
349C2×C22⋊C4C2×D414yes—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—22no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—44no—
357C2×C42—44no—
358C2×C42C2×D412yes—
359C2×C42C2×D412yes—
360C2×C42C2412yes—
361C2×C42C2412yes—
362#106—28no—
363#106—28no—
364#106—28no—
365#106—28no—
366#106—44no—
367C4⋊C8—28no—
368#103—28no—
369#103—28no—
370#103C2×D4116yescomplemented
371#102—28no—
372#102—28no—
373#102—44no—
374C22⋊C8—28no—
375C22⋊C8—28no—
376C4×C8—28no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95C2×D414yes—
384#95C2×D414yes—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—24no—
392C24—22no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24C2×SD1614yes—
400C24C22×D412yes—
401C24C22×D411yescharacteristic
402C2×Q8—24no—
403C2×Q8—22no—
404C2×Q8—28no—
405C2×Q8—28no—
406C2×Q8—22no—
407C2×Q8—22no—
408C2×Q8—22no—
409C2×Q8—22no—
410C2×Q8—42no—
411C2×Q8—44no—
412C2×Q8—42no—
413C2×Q8—44no—
414C2×Q8C22×D414yes—
415C2×D4—216no—
416C2×D4—28no—
417C2×D4—24no—
418C2×D4—28no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—432no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—42no—
428C2×D4—44no—
429C2×D4—42no—
430C2×D4—44no—
431C2×D4C2×#4114yes—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—48no—
465C22×C4—48no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—44no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—48no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—48no—
490C22×C4—84no—
491C22×C4—816no—
492C22×C4—84no—
493C22×C4—816no—
494C22×C4C2×SD1614yes—
495C22×C4C2×SD1614yes—
496C22×C4C22×D412yes—
497C22×C4C22×D412yes—
498C22×C4C22×D412yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D411yescharacteristic
502C22×C4C22×D412yes—
503C22×C4C2×#4112yes—
504C22×C4C2×#4112yes—
505C22×C4C2×#4112yes—
506C22×C4H(5,𝔽2)12yes—
507C22×C42−1+412yes—
508C22×C4C2511yescharacteristic
509SD16—232no—
510C2×C8—28no—
511C2×C8—28no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—44no—
523C2×C8—44no—
524C2×C8C22×D414yes—
525C2×C8C2×#4114yes—
526C4⋊C4—24no—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—48no—
547C4⋊C4—84no—
548C4⋊C4—84no—
549C4⋊C4C22×D414yes—
550C4⋊C4C2×#4114yes—
551C22⋊C4—216no—
552C22⋊C4—44no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4C2×SD16116yescomplemented
559C42—24no—
560C42—24no—
561C42—22no—
562C42—22no—
563C42—22no—
564C42—22no—
565C42—48no—
566C42—48no—
567C23—28no—
568C23—28no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—28no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—44no—
578C23—44no—
579C23—44no—
580C23—44no—
581C23—48no—
582C23—48no—
583C23—42no—
584C23—42no—
585C23—48no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—84no—
591C23—84no—
592C23—84no—
593C23—84no—
594C23#52512yes—
595C23D4212yes—
596C23#54712yes—
597C23C22×SD1614yes—
598C23C22×SD1612yes—
599C23#57512yes—
600C23#57712yes—
601C23#57712yes—
602C23C23×D411yescharacteristic
603Q8—24no—
604Q8—24no—
605Q8—42no—
606Q8—48no—
607Q8—42no—
608D4—24no—
609D4—24no—
610D4—432no—
611D4—42no—
612D4—48no—
613D4—42no—
614C2×C4—28no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—28no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—24no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—44no—
633C2×C4—48no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—44no—
637C2×C4—48no—
638C2×C4—44no—
639C2×C4—48no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—48no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—816no—
662C2×C4—816no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—84no—
667C2×C4#52514yes—
668C2×C4#52512yes—
669C2×C4#53914yes—
670C2×C4D4212yes—
671C2×C4#54714yes—
672C2×C4#54712yes—
673C2×C4#55914yes—
674C2×C4C22×SD1614yes—
675C2×C4C22×SD1614yes—
676C2×C4C23×D411yescharacteristic
677C2×C4C22×#4111yescharacteristic
678C2×C4C22×#4111yescharacteristic
679C2×C4C22×#4111yescharacteristic
680C2×C4C2×H(5,𝔽2)11yescharacteristic
681C2×C4C2×2−1+411yescharacteristic
682C8—24no—
683C8—24no—
684C8—42no—
685C8—42no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—416no—
694C22—44no—
695C22—44no—
696C22—44no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—816no—
702C22#245514yes—
703C22#310114yes—
704C22#312514yes—
705C22#327114yes—
706C22D4×SD1614yes—
707C22#333514yes—
708C22#335114yes—
709C22C2×#52511yescharacteristic
710C22C2×D4211yescharacteristic
711C22C2×#54711yescharacteristic
712C22C23×SD1611yescharacteristic
713C22C2×#57511yescharacteristic
714C22C2×#57711yescharacteristic
715C22C2×#57711yescharacteristic
716C4—24no—
717C4—24no—
718C4—42no—
719C4—42no—
720C4—44no—
721C4—42no—
722C4—44no—
723C4—44no—
724C4—82no—
725C4—82no—
726C4—82no—
727C4—82no—
728C4#245514yes—
729C4C2×#52511yescharacteristic
730C4C2×#53911yescharacteristic
731C4C2×#54711yescharacteristic
732C4C2×#55911yescharacteristic
733C2—44no—
734C2—84no—
735C2#2655418yesdirect product factor
736C2C2×#245511yescharacteristic
737C2C2×#310111yescharacteristic
738C2C2×#312511yescharacteristic
739C2C2×#327111yescharacteristic
740C2C2×D4×SD1611yescharacteristic
741C2C2×#333511yescharacteristic
742C2C2×#335111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#483C2semidirect
2. C22×C4×SD16C2semidirect
3. C2×#2423C2semidirect
5. #26554C2direct (N × H)
6. C2×#2094C2semidirect
7. C2×#2055C2semidirect
10. C2×#1948C2semidirect
11. C2×#1941C2semidirect
12. C2×#1927C2semidirect
13. C2×#1923C2semidirect
14. C2×#1865C2semidirect
15. C2×#1864C2semidirect
16. C2×#1853C2semidirect
25. C2×#483C22semidirect
27. C2×C4×SD16C22semidirect
44. #2423C22semidirect
62. #2094C22semidirect
63. #2055C22semidirect
66. #1948C22semidirect
67. #1941C22semidirect
68. #1927C22semidirect
69. #1923C22semidirect
70. #1865C22semidirect
71. #1864C22semidirect
72. #1853C22semidirect
156. C2×#103D4semidirect
347. C2×C22⋊C4SD16semidirect
370. #103C2×D4semidirect
558. C22⋊C4C2×SD16semidirect
735. C2#26554direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4832
C22×C4×SD162
C2×#24232
C2×#23612
#265542
C2×#20942
C2×#20552
C2×#20342
C2×#20002
C2×#19482
C2×#19412
C2×#19272
C2×#19232
C2×#18652
C2×#18642
C2×#18532