Finite Group Databasebeta

← C2×#25024 #6443992

Subgroups — C2×#25024 #6443992

Order 512.

2604 conjugacy classes of subgroups.

The subgroup lattice has 745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#484C211yesmaximal, characteristic, complemented
2C22×#483C211yesmaximal, characteristic, complemented
3C2×#2536C211yesmaximal, characteristic
4C2×D4×C4⋊C4C211yesmaximal, characteristic
5#25024C2116yesmaximal, direct product factor
6C2×#2077C211yesmaximal, characteristic, complemented
7C2×#2075C211yesmaximal, characteristic, complemented
8C2×#2036C211yesmaximal, characteristic, complemented
9C2×#2035C211yesmaximal, characteristic, complemented
10C2×#1955C211yesmaximal, characteristic
11C2×#1949C211yesmaximal, characteristic, complemented
12C2×#1853C211yesmaximal, characteristic, complemented
13C2×#1852C211yesmaximal, characteristic, complemented
14C2×#1847C211yesmaximal, characteristic, complemented
15C2×#1803C211yesmaximal, characteristic, complemented
16C2×#1763C211yesmaximal, characteristic, complemented
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C2×#484—28no—
25C2×#484C2218yescomplemented
26C2×#483—28no—
27C2×#483C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×#106C2211yescharacteristic
33C22×#106C2211yescharacteristic
34C22×C4⋊C8C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×#97C2211yescharacteristic
44#2536—24no—
45#2536C2218yes—
46C2×#398—21no—
47C2×#394—21no—
48D4×C4⋊C4—24no—
49D4×C4⋊C4C2218yes—
50C2×#389—21no—
51C2×#388—21no—
52C2×#388—21no—
53C2×#385—21no—
54C2×#385—21no—
55C2×#384C2211yescharacteristic
56C2×#382C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×C4×C4⋊C4C2211yescharacteristic
62#2077C2218yescomplemented
63#2075C2218yescomplemented
64#2036C2218yescomplemented
65#2035C2218yescomplemented
66#1955C2218yes—
67#1949C2218yescomplemented
68#1853C2218yescomplemented
69#1852C2218yescomplemented
70#1847C2218yescomplemented
71#1803C2218yescomplemented
72#1763C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×D4D411yescharacteristic
81C24×C4—21no—
82C24×C4—21no—
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C23×C8C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C2×C22⋊Q8—22no—
90C2×C22⋊Q8—22no—
91C2×C22⋊Q8—24no—
92C2×C22⋊Q8—24no—
93C2×C22⋊Q8—42no—
94C2×C22⋊Q8—42no—
95C2×C22⋊Q8C2314yes—
96C2×C22⋊Q8C2314yes—
97C2×C4×Q8—22no—
98C2×C4×Q8—24no—
99C2×C4×Q8—24no—
100C2×C4×Q8C2314yes—
101C2×C4×D4—28no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×C4×D4—48no—
105C2×C4×D4D414yes—
106C2×C4×D4C2314yes—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—24no—
109C22×C4⋊C4—22no—
110C22×C4⋊C4—22no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—42no—
119C22×C4⋊C4—42no—
120C22×C4⋊C4D411yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2314yes—
128C22×C4⋊C4C2314yes—
129C22×C4⋊C4C2311yescharacteristic
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4D411yescharacteristic
137C22×C22⋊C4D411yescharacteristic
138C22×C42—21no—
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141#484—232no—
142#483—232no—
143C2×#107—24no—
144C2×#107—24no—
145C2×#107—42no—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106—24no—
150C2×#106—24no—
151C2×#106—42no—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8—24no—
156C2×C4⋊C8C2314yes—
157C2×#103—24no—
158C2×#103—24no—
159C2×#103—24no—
160C2×#103D418yescomplemented
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×C22⋊C8—24no—
166C2×C22⋊C8—24no—
167C2×C22⋊C8—24no—
168C2×C22⋊C8—24no—
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×C22⋊C8C2314yes—
173C2×#97—24no—
174C2×#97C2314yes—
175#398—28no—
176#394—28no—
177#389—28no—
178#388—28no—
179#388—28no—
180#385—28no—
181#385—28no—
182#384—22no—
183#384C2314yes—
184#382—22no—
185#382C2314yes—
186#380—22no—
187#380—22no—
188#380—22no—
189#380—22no—
190#380C2314yes—
191#380C2314yes—
192#380C2314yes—
193#380C2314yes—
194C4×C4⋊C4—22no—
195C4×C4⋊C4C2314yes—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#340C2314yes—
209C25C2×D411yescharacteristic
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—24no—
220C22×D4—24no—
221C22×D4—24no—
222C22×D4C2×D414yes—
223C23×C4—21no—
224C23×C4—21no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—24no—
244C23×C4—24no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—82no—
250C23×C4—82no—
251C23×C4C2×D412yes—
252C23×C4C2×D412yes—
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2411yescharacteristic
260C22×C8—22no—
261C22×C8—22no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8C2×D414yes—
271C22×C8#4114yes—
272C22×C8C2412yes—
273C22×C8C2412yes—
274C22×C8C2412yes—
275C22×C8C2412yes—
276C22⋊Q8—28no—
277C22⋊Q8—28no—
278C22⋊Q8—44no—
279C22⋊Q8—44no—
280C22⋊Q8—48no—
281C22⋊Q8—48no—
282C4×Q8—28no—
283C4×Q8—28no—
284C4×Q8—48no—
285C4×D4—216no—
286C4×D4—28no—
287C4×D4—28no—
288C4×D4—432no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
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—28no—
305C2×C4⋊C4—28no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—48no—
322C2×C4⋊C4—48no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—82no—
330C2×C4⋊C4C2×D414yes—
331C2×C4⋊C4C2×D414yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4C2×D414yes—
354C2×C22⋊C4C2×D414yes—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—44no—
358C2×C42—44no—
359C2×C42C2×D412yes—
360C2×C42#4114yes—
361C2×C42#4114yes—
362C2×C42C2412yes—
363#107—28no—
364#107—28no—
365#107—44no—
366#106—28no—
367#106—28no—
368#106—44no—
369C4⋊C8—28no—
370#103—28no—
371#103—28no—
372#103—28no—
373#103C2×D4116yescomplemented
374C22⋊C8—28no—
375C22⋊C8—28no—
376C22⋊C8—28no—
377C22⋊C8—28no—
378#97—28no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—24no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24AGL(1,ℤ/8)14yes—
399C24#13714yes—
400C24C22×D412yes—
401C24C22×D412yes—
402C24C22×D411yescharacteristic
403C2×Q8—24no—
404C2×Q8—22no—
405C2×Q8—28no—
406C2×Q8—28no—
407C2×Q8—22no—
408C2×Q8—22no—
409C2×Q8—22no—
410C2×Q8—22no—
411C2×Q8—42no—
412C2×Q8—44no—
413C2×Q8—42no—
414C2×Q8—44no—
415C2×Q8C22×D414yes—
416C2×D4—232no—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—28no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—24no—
427C22×C4—24no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—22no—
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—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—44no—
465C22×C4—44no—
466C22×C4—44no—
467C22×C4—44no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—48no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—48no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—84no—
493C22×C4—84no—
494C22×C4—816no—
495C22×C4—816no—
496C22×C4#12314yes—
497C22×C4#12314yes—
498C22×C4C22×D412yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D412yes—
504C22×C4C2×#4112yes—
505C22×C4C2×#4112yes—
506C22×C4C2×#4112yes—
507C22×C4H(5,𝔽2)12yes—
508C22×C42−1+412yes—
509C22×C4C2511yescharacteristic
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—28no—
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—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C4⋊C4—42no—
547C4⋊C4—48no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—84no—
554C4⋊C4C22×D414yes—
555C22⋊C4—28no—
556C22⋊C4—28no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C42—48no—
564C42—48no—
565C42#12318yes—
566C42C2×#4114yes—
567C42C2×#4114yes—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—28no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—28no—
579C23—28no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23C2×#12312yes—
595C23D4212yes—
596C23#54712yes—
597C23C2×AGL(1,ℤ/8)14yes—
598C23C2×AGL(1,ℤ/8)12yes—
599C23C2×#13714yes—
600C23C2×#13712yes—
601C23#57712yes—
602C23#57812yes—
603C23C23×D411yescharacteristic
604Q8—24no—
605Q8—24no—
606Q8—48no—
607Q8—42no—
608Q8—42no—
609D4—232no—
610C2×C4—28no—
611C2×C4—28no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—42no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—48no—
628C2×C4—42no—
629C2×C4—48no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—48no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
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—816no—
661C2×C4—816no—
662C2×C4—84no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—84no—
667C2×C4—84no—
668C2×C4C2×#12314yes—
669C2×C4C2×#12314yes—
670C2×C4C2×#12312yes—
671C2×C4#53214yes—
672C2×C4#54214yes—
673C2×C4D4212yes—
674C2×C4#54712yes—
675C2×C4#54714yes—
676C2×C4#55314yes—
677C2×C4C23×D411yescharacteristic
678C2×C4C22×#4111yescharacteristic
679C2×C4C22×#4111yescharacteristic
680C2×C4C22×#4111yescharacteristic
681C2×C4C2×H(5,𝔽2)11yescharacteristic
682C2×C4C2×2−1+411yescharacteristic
683C8—24no—
684C8—24no—
685C8—42no—
686C8—42no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—24no—
691C22—24no—
692C22—24no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—416no—
702C22—416no—
703C22#242214yes—
704C22#309214yes—
705C22#309714yes—
706C22#326514yes—
707C22#327014yes—
708C22#334314yes—
709C22#334414yes—
710C22C22×#12311yescharacteristic
711C22C2×D4211yescharacteristic
712C22C2×#54711yescharacteristic
713C22C22×AGL(1,ℤ/8)11yescharacteristic
714C22C22×#13711yescharacteristic
715C22C2×#57711yescharacteristic
716C22C2×#57811yescharacteristic
717C4—24no—
718C4—24no—
719C4—44no—
720C4—42no—
721C4—42no—
722C4—44no—
723C4—82no—
724C4—82no—
725C4—82no—
726C4—82no—
727C4—82no—
728C4—82no—
729C4#242214yes—
730C4C2×#53211yescharacteristic
731C4C2×#54211yescharacteristic
732C4C2×#54711yescharacteristic
733C4C2×#55311yescharacteristic
734C2—44no—
735C2—44no—
736C2#2502418yesdirect product factor
737C2C2×#242211yescharacteristic
738C2C2×#309211yescharacteristic
739C2C2×#309711yescharacteristic
740C2C2×#326511yescharacteristic
741C2C2×#327011yescharacteristic
742C2C2×#334311yescharacteristic
743C2C2×#334411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#484C2semidirect
2. C22×#483C2semidirect
5. #25024C2direct (N × H)
6. C2×#2077C2semidirect
7. C2×#2075C2semidirect
8. C2×#2036C2semidirect
9. C2×#2035C2semidirect
11. C2×#1949C2semidirect
12. C2×#1853C2semidirect
13. C2×#1852C2semidirect
14. C2×#1847C2semidirect
15. C2×#1803C2semidirect
16. C2×#1763C2semidirect
25. C2×#484C22semidirect
27. C2×#483C22semidirect
62. #2077C22semidirect
63. #2075C22semidirect
64. #2036C22semidirect
65. #2035C22semidirect
67. #1949C22semidirect
68. #1853C22semidirect
69. #1852C22semidirect
70. #1847C22semidirect
71. #1803C22semidirect
72. #1763C22semidirect
160. C2×#103D4semidirect
373. #103C2×D4semidirect
736. C2#25024direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4842
C22×#4832
C2×#25362
C2×D4×C4⋊C42
#250242
C2×#20772
C2×#20752
C2×#20362
C2×#20352
C2×#19552
C2×#19492
C2×#18532
C2×#18522
C2×#18472
C2×#18032
C2×#17632