Finite Group Databasebeta

← C2×#24977 #6447003

Subgroups — C2×#24977 #6447003

Order 512.

2624 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2535C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#24977C2116yesmaximal, direct product factor
4C2×#2076C211yesmaximal, characteristic, complemented
5C2×#2077C211yesmaximal, characteristic, complemented
6C2×#2034C211yesmaximal, characteristic, complemented
7C2×#2033C211yesmaximal, characteristic, complemented
8C2×#1955C211yesmaximal, characteristic, complemented
9C2×#1949C211yesmaximal, characteristic, complemented
10C2×#1874C211yesmaximal, characteristic, complemented
11C2×#1874C211yesmaximal, characteristic, complemented
12C2×#1836C211yesmaximal, characteristic, complemented
13C2×#1824C211yesmaximal, characteristic, complemented
14C2×#1823C211yesmaximal, characteristic, complemented
15C2×#1802C211yesmaximal, characteristic, complemented
16C2×#1762C211yesmaximal, characteristic, complemented
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C22×#107C2211yescharacteristic
25C22×#106C2211yescharacteristic
26C22×C4⋊C8C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×C22⋊C8C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34C22×C22⋊C8C2211yescharacteristic
35C22×#97C2211yescharacteristic
36#2535—24no—
37#2535C2218yes—
38C2×#397—21no—
39C2×#392—21no—
40D4×C4⋊C4—24no—
41D4×C4⋊C4C2218yescomplemented
42C2×#389—21no—
43C2×#386—21no—
44C2×#386—21no—
45C2×#385—21no—
46C2×#385—21no—
47C2×#384C2211yescharacteristic
48C2×#382C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#380C2211yescharacteristic
53C2×C4×C4⋊C4C2211yescharacteristic
54#2077C2218yescomplemented
55#2076C2218yescomplemented
56#2034C2218yescomplemented
57#2033C2218yescomplemented
58#1955C2218yescomplemented
59#1949C2218yescomplemented
60#1874C2218yescomplemented
61#1874C2218yescomplemented
62#1836C2218yescomplemented
63#1824C2218yescomplemented
64#1823C2218yescomplemented
65#1802C2218yescomplemented
66#1762C2218yescomplemented
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C23×D4—21no—
78C23×D4—21no—
79C23×D4D411yescharacteristic
80C23×D4C2311yescharacteristic
81C24×C4—21no—
82C24×C4—21no—
83C24×C4—21no—
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C2×#121—22no—
91C2×#121—22no—
92C2×#121—24no—
93C2×#121—24no—
94C2×#121—42no—
95C2×#121—42no—
96C2×#121C2314yes—
97C2×#121C2314yes—
98C2×C4×D4—28no—
99C2×C4×D4—22no—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×C4×D4—48no—
105C2×C4×D4D414yes—
106C2×C4×D4C2314yes—
107C2×C4×D4C2314yes—
108C22×C4⋊C4—24no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—22no—
111C22×C4⋊C4—22no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—42no—
117C22×C4⋊C4—42no—
118C22×C4⋊C4D411yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2314yes—
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⋊C4—21no—
135C22×C22⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42—21no—
138C22×C42C2311yescharacteristic
139C2×#107—42no—
140C2×#107C2314yes—
141C2×#106—42no—
142C2×#106C2314yes—
143C2×C4⋊C8—24no—
144C2×C4⋊C8C2314yes—
145C2×#102—24no—
146C2×#102—24no—
147C2×#102—42no—
148C2×#102—42no—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×C22⋊C8—42no—
154C2×C22⋊C8—42no—
155C2×C22⋊C8—42no—
156C2×C22⋊C8—42no—
157C2×C22⋊C8C2314yes—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161C2×#97—24no—
162C2×#97C2314yes—
163#397—28no—
164#392—28no—
165#389—28no—
166#386—28no—
167#386—28no—
168#385—28no—
169#385—28no—
170#384—22no—
171#384C2314yes—
172#382—22no—
173#382C2314yes—
174#380—22no—
175#380—22no—
176#380—22no—
177#380—22no—
178#380C2314yes—
179#380C2314yes—
180#380C2314yes—
181#380C2314yes—
182C4×C4⋊C4—22no—
183C4×C4⋊C4C2314yes—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95—21no—
190C2×#95—21no—
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#340C2314yes—
200#340C2314yes—
201C25—21no—
202C25C2×D411yescharacteristic
203C25C2×D411yescharacteristic
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—21no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—44no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—82no—
220C22×D4—82no—
221C22×D4C2×D414yes—
222C22×D4#4114yes—
223C22×D4C2412yes—
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—24no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—82no—
252C23×C4—82no—
253C23×C4—82no—
254C23×C4—82no—
255C23×C4C2×D412yes—
256C23×C4C2×D412yes—
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
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×C8—22no—
275C22×C8—22no—
276C22×C8C2412yes—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280#121—28no—
281#121—28no—
282#121—44no—
283#121—44no—
284#121—48no—
285#121—48no—
286C4×D4—216no—
287C4×D4—28no—
288C4×D4—28no—
289C4×D4—28no—
290C4×D4—28no—
291C4×D4—432no—
292C4×D4—48no—
293C2×C4⋊C4—24no—
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—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—48no—
323C2×C4⋊C4—48no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—82no—
328C2×C4⋊C4C2×D414yes—
329C2×C4⋊C4#4114yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
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—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—82no—
352C2×C22⋊C4—82no—
353C2×C22⋊C4C2×D414yes—
354C2×C22⋊C4C2×D414yes—
355C2×C42—24no—
356C2×C42—44no—
357C2×C42C2×D412yes—
358C2×C42#4114yes—
359C2×C42#4114yes—
360C2×C42C2412yes—
361#107—44no—
362#106—44no—
363C4⋊C8—28no—
364#102—28no—
365#102—28no—
366#102—44no—
367#102—44no—
368C22⋊C8—44no—
369C22⋊C8—44no—
370C22⋊C8—44no—
371C22⋊C8—44no—
372#97—28no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—24no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—24no—
393C24—22no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24AGL(1,ℤ/8)14yes—
401C24#13714yes—
402C24C22×D412yes—
403C24C22×D412yes—
404C24C22×D411yescharacteristic
405C2×D4—232no—
406C2×D4—28no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—28no—
410C2×D4—24no—
411C2×D4—28no—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—48no—
418C2×D4—48no—
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—42no—
422C2×D4—44no—
423C2×D4—42no—
424C2×D4—44no—
425C2×D4—84no—
426C2×D4—84no—
427C2×D4—816no—
428C2×D4—816no—
429C2×D4C2×#4114yes—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—24no—
447C22×C4—24no—
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—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—48no—
467C22×C4—48no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—48no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—48no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—48no—
499C22×C4—84no—
500C22×C4—84no—
501C22×C4—816no—
502C22×C4—84no—
503C22×C4—84no—
504C22×C4—816no—
505C22×C4—816no—
506C22×C4#12314yes—
507C22×C4#12314yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D411yescharacteristic
513C22×C4C2×#4112yes—
514C22×C4C2×#4112yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4112yes—
517C22×C4H(5,𝔽2)12yes—
518C22×C4H(5,𝔽2)12yes—
519C22×C4C2511yescharacteristic
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—44no—
533C2×C8—44no—
534C2×C8—44no—
535C2×C8—44no—
536C4⋊C4—28no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—84no—
561C4⋊C4C2×#4114yes—
562C22⋊C4—28no—
563C22⋊C4—28no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C42—48no—
572C42#12318yes—
573C42C2×#4114yes—
574C42C2×#4114yes—
575C23—28no—
576C23—28no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—48no—
604C23—42no—
605C23—48no—
606C23—48no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23C2×#12312yes—
616C23#54612yes—
617C23#54612yes—
618C23C2×AGL(1,ℤ/8)14yes—
619C23C2×AGL(1,ℤ/8)12yes—
620C23C2×#13714yes—
621C23C2×#13712yes—
622C23#57612yes—
623C23#57712yes—
624C23C23×D411yescharacteristic
625D4—232no—
626D4—24no—
627D4—24no—
628D4—48no—
629D4—42no—
630D4—42no—
631D4—816no—
632D4—816no—
633C2×C4—28no—
634C2×C4—28no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—48no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—816no—
680C2×C4—816no—
681C2×C4—816no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4C2×#12314yes—
689C2×C4C2×#12314yes—
690C2×C4C2×#12312yes—
691C2×C4#52914yes—
692C2×C4#54014yes—
693C2×C4#54612yes—
694C2×C4#54612yes—
695C2×C4#55314yes—
696C2×C4#55514yes—
697C2×C4C22×#4111yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C2×C4C2×H(5,𝔽2)11yescharacteristic
703C8—42no—
704C8—42no—
705C8—42no—
706C8—42no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—416no—
718C22—416no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—82no—
727C22—82no—
728C22—816no—
729C22—82no—
730C22—82no—
731C22#242014yes—
732C22#309214yes—
733C22#309614yes—
734C22#330614yes—
735C22#331414yes—
736C22#331814yes—
737C22#332014yes—
738C22C22×#12311yescharacteristic
739C22C2×#54611yescharacteristic
740C22C2×#54611yescharacteristic
741C22C22×AGL(1,ℤ/8)11yescharacteristic
742C22C22×#13711yescharacteristic
743C22C2×#57611yescharacteristic
744C22C2×#57711yescharacteristic
745C4—24no—
746C4—24no—
747C4—42no—
748C4—42no—
749C4—44no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4#242014yes—
757C4C2×#52911yescharacteristic
758C4C2×#54011yescharacteristic
759C4C2×#55311yescharacteristic
760C4C2×#55511yescharacteristic
761C2—44no—
762C2—44no—
763C2—84no—
764C2#2497718yesdirect product factor
765C2C2×#242011yescharacteristic
766C2C2×#309211yescharacteristic
767C2C2×#309611yescharacteristic
768C2C2×#330611yescharacteristic
769C2C2×#331411yescharacteristic
770C2C2×#331811yescharacteristic
771C2C2×#332011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2535C2
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
2. C2×D4×C4⋊C4C2semidirect
3. #24977C2direct (N × H)
4. C2×#2076C2semidirect
5. C2×#2077C2semidirect
6. C2×#2034C2semidirect
7. C2×#2033C2semidirect
8. C2×#1955C2semidirect
9. C2×#1949C2semidirect
10. C2×#1874C2semidirect
11. C2×#1874C2semidirect
12. C2×#1836C2semidirect
13. C2×#1824C2semidirect
14. C2×#1823C2semidirect
15. C2×#1802C2semidirect
16. C2×#1762C2semidirect
41. D4×C4⋊C4C22semidirect
54. #2077C22semidirect
55. #2076C22semidirect
56. #2034C22semidirect
57. #2033C22semidirect
58. #1955C22semidirect
59. #1949C22semidirect
60. #1874C22semidirect
61. #1874C22semidirect
62. #1836C22semidirect
63. #1824C22semidirect
64. #1823C22semidirect
65. #1802C22semidirect
66. #1762C22semidirect
764. C2#24977direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#25352
C2×D4×C4⋊C42
#249772
C2×#20762
C2×#20772
C2×#20342
C2×#20332
C2×#19552
C2×#19492
C2×#18742
C2×#18362
C2×#18242
C2×#18232
C2×#18022
C2×#17622