Finite Group Databasebeta

← C2×#24973 #6446995

Subgroups — C2×#24973 #6446995

Order 512.

2434 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2535C211yesmaximal, characteristic
2C2×#2352C211yesmaximal, characteristic, complemented
3#24973C2116yesmaximal, direct product factor
4C2×#2077C211yesmaximal, characteristic, complemented
5C2×#2075C211yesmaximal, characteristic, complemented
6C2×#2034C211yesmaximal, characteristic, complemented
7C2×#2033C211yesmaximal, characteristic, complemented
8C2×#1954C211yesmaximal, characteristic, complemented
9C2×#1949C211yesmaximal, characteristic, complemented
10C2×#1875C211yesmaximal, characteristic, complemented
11C2×#1874C211yesmaximal, characteristic, complemented
12C2×#1835C211yesmaximal, characteristic, complemented
13C2×#1824C211yesmaximal, characteristic, complemented
14C2×#1825C211yesmaximal, characteristic, complemented
15C2×#1804C211yesmaximal, characteristic, complemented
16C2×C4×#102C211yesmaximal, characteristic, complemented
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C22×#107C2211yescharacteristic
24C22×#106C2211yescharacteristic
25C22×C4⋊C8C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×C22⋊C8C2211yescharacteristic
31C22×C22⋊C8C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34C22×C4×C8C2211yescharacteristic
35#2535—24no—
36#2535C2218yes—
37C2×#397—21no—
38C2×#392—21no—
39#2352—24no—
40#2352C2218yescomplemented
41C2×#388—21no—
42C2×#387—21no—
43C2×#386—21no—
44C2×#386—21no—
45C2×#386—21no—
46C2×#382C2211yescharacteristic
47C2×#382C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4—21no—
54#2077C2218yescomplemented
55#2075C2218yescomplemented
56#2034C2218yescomplemented
57#2033C2218yescomplemented
58#1954C2218yescomplemented
59#1949C2218yescomplemented
60#1875C2218yescomplemented
61#1874C2218yescomplemented
62#1835C2218yescomplemented
63#1825C2218yescomplemented
64#1824C2218yescomplemented
65#1804C2218yescomplemented
66C4×#102C2218yescomplemented
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×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C23×C8C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C2×#121—22no—
90C2×#121—22no—
91C2×#121—24no—
92C2×#121—24no—
93C2×#121—42no—
94C2×#121—42no—
95C2×#121C2314yes—
96C2×#121C2314yes—
97C2×C4×D4—22no—
98C2×C4×D4—24no—
99C2×C4×D4—24no—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4D414yes—
103C2×C4×D4C2314yes—
104C2×C4×D4C2314yes—
105C2×#117—22no—
106C2×#117—24no—
107C2×#117—42no—
108C2×#117C2314yes—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—22no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—42no—
113C22×C4⋊C4D411yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2311yescharacteristic
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4D411yescharacteristic
131C22×C22⋊C4D411yescharacteristic
132C22×C42—21no—
133C22×C42—21no—
134C22×C42C2311yescharacteristic
135C2×#107—42no—
136C2×#107C2314yes—
137C2×#106—42no—
138C2×#106C2314yes—
139C2×C4⋊C8—24no—
140C2×C4⋊C8C2314yes—
141C2×#102—24no—
142C2×#102—24no—
143C2×#102—42no—
144C2×#102—42no—
145C2×#102C2314yes—
146C2×#102C2314yes—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×C22⋊C8—42no—
150C2×C22⋊C8—42no—
151C2×C22⋊C8—42no—
152C2×C22⋊C8—42no—
153C2×C22⋊C8C2314yes—
154C2×C22⋊C8C2314yes—
155C2×C22⋊C8C2314yes—
156C2×C22⋊C8C2314yes—
157C2×C4×C8—24no—
158C2×C4×C8C2314yes—
159#397—28no—
160#392—28no—
161#388—28no—
162#387—28no—
163#386—28no—
164#386—28no—
165#386—28no—
166#382—22no—
167#382—22no—
168#382C2314yes—
169#382C2314yes—
170#380—22no—
171#380—22no—
172#380—22no—
173#380—22no—
174#380C2314yes—
175#380C2314yes—
176#380C2314yes—
177#380C2314yes—
178C4×C4⋊C4—22no—
179C4×C4⋊C4C2314yes—
180C4×C22⋊C4—28no—
181C2×#95—21no—
182C2×#95—21no—
183C2×#95—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95—21no—
190#340C2314yes—
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#340C2314yes—
200C25—21no—
201C25C2×D411yescharacteristic
202C25C2×D411yescharacteristic
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—21no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—42no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—82no—
219C22×D4—82no—
220C22×D4C2×D414yes—
221C22×D4#4114yes—
222C22×D4C2412yes—
223C23×C4—21no—
224C23×C4—22no—
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—21no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—24no—
243C23×C4—24no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—82no—
248C23×C4—82no—
249C23×C4—82no—
250C23×C4C2×D412yes—
251C23×C4C2×D412yes—
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C22×C8—22no—
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×C8—22no—
271C22×C8C2412yes—
272C22×C8C2412yes—
273C22×C8C2412yes—
274C22×C8C2412yes—
275#121—28no—
276#121—28no—
277#121—44no—
278#121—44no—
279#121—48no—
280#121—48no—
281C4×D4—216no—
282C4×D4—28no—
283C4×D4—28no—
284C4×D4—28no—
285C4×D4—28no—
286C4×D4—48no—
287#117—28no—
288#117—44no—
289#117—48no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—21no—
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—22no—
305C2×C4⋊C4—28no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—48no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4C2×D414yes—
317C2×C4⋊C4#4114yes—
318C2×C4⋊C4C2412yes—
319C2×C4⋊C4C2412yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—82no—
341C2×C22⋊C4—82no—
342C2×C22⋊C4—82no—
343C2×C22⋊C4C2×D414yes—
344C2×C22⋊C4C2×D414yes—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—44no—
348C2×C42—82no—
349C2×C42C2×D412yes—
350C2×C42#4114yes—
351C2×C42#4114yes—
352C2×C42C2412yes—
353#107—44no—
354#106—44no—
355C4⋊C8—28no—
356#102—28no—
357#102—28no—
358#102—44no—
359#102—44no—
360C22⋊C8—44no—
361C22⋊C8—44no—
362C22⋊C8—44no—
363C22⋊C8—44no—
364C4×C8—28no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—24no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24#13514yes—
396C24C22×D412yes—
397C24C22×D412yes—
398C24C22×D411yescharacteristic
399C2×D4—28no—
400C2×D4—28no—
401C2×D4—28no—
402C2×D4—24no—
403C2×D4—28no—
404C2×D4—22no—
405C2×D4—22no—
406C2×D4—22no—
407C2×D4—22no—
408C2×D4—22no—
409C2×D4—44no—
410C2×D4—416no—
411C2×D4—48no—
412C2×D4—48no—
413C2×D4—48no—
414C2×D4—48no—
415C2×D4—42no—
416C2×D4—44no—
417C2×D4—42no—
418C2×D4—44no—
419C2×D4—84no—
420C2×D4—84no—
421C2×D4—816no—
422C2×D4—816no—
423C2×D4C2×#4114yes—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—24no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
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—22no—
459C22×C4—22no—
460C22×C4—48no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—44no—
464C22×C4—44no—
465C22×C4—44no—
466C22×C4—44no—
467C22×C4—44no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—48no—
472C22×C4—42no—
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—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—48no—
491C22×C4—84no—
492C22×C4—84no—
493C22×C4—816no—
494C22×C4—84no—
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×C4C2×#4112yes—
504C22×C4C2×#4112yes—
505C22×C4C2×#4112yes—
506C22×C4C2×#4112yes—
507C22×C4H(5,𝔽2)12yes—
508C22×C4H(5,𝔽2)12yes—
509C22×C4C2511yescharacteristic
510C2×C8—22no—
511C2×C8—22no—
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×C8—44no—
525C2×C8—44no—
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—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4C2×#4114yes—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—84no—
559C42—48no—
560C42—84no—
561C42#12318yes—
562C42C2×#4114yes—
563C42C2×#4114yes—
564C23—28no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—28no—
569C23—28no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—42no—
588C23—44no—
589C23—48no—
590C23—42no—
591C23—48no—
592C23—44no—
593C23—44no—
594C23—42no—
595C23—44no—
596C23—44no—
597C23—48no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23C2×#12312yes—
606C23#54612yes—
607C23#54612yes—
608C23C2×#13514yes—
609C23C2×#13512yes—
610C23#57512yes—
611C23#57612yes—
612C23#57712yes—
613C23C23×D411yescharacteristic
614D4—24no—
615D4—24no—
616D4—416no—
617D4—48no—
618D4—42no—
619D4—42no—
620D4—816no—
621D4—816no—
622C2×C4—28no—
623C2×C4—28no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—48no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—48no—
643C2×C4—48no—
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—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—816no—
669C2×C4—816no—
670C2×C4—84no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4C2×#12314yes—
677C2×C4C2×#12314yes—
678C2×C4C2×#12312yes—
679C2×C4#52914yes—
680C2×C4#54014yes—
681C2×C4#54612yes—
682C2×C4#54612yes—
683C2×C4#55314yes—
684C2×C4#55514yes—
685C2×C4C22×#4111yescharacteristic
686C2×C4C22×#4111yescharacteristic
687C2×C4C22×#4111yescharacteristic
688C2×C4C22×#4111yescharacteristic
689C2×C4C2×H(5,𝔽2)11yescharacteristic
690C2×C4C2×H(5,𝔽2)11yescharacteristic
691C8—42no—
692C8—42no—
693C8—42no—
694C8—42no—
695C22—24no—
696C22—24no—
697C22—24no—
698C22—42no—
699C22—42no—
700C22—416no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—44no—
707C22—44no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—44no—
713C22—82no—
714C22—82no—
715C22—88no—
716C22—816no—
717C22—82no—
718C22—82no—
719C22#242014yes—
720C22#309114yes—
721C22#309614yes—
722C22#329714yes—
723C22#330114yes—
724C22#332214yes—
725C22#332314yes—
726C22C22×#12311yescharacteristic
727C22C2×#54611yescharacteristic
728C22C2×#54611yescharacteristic
729C22C22×#13511yescharacteristic
730C22C2×#57511yescharacteristic
731C22C2×#57611yescharacteristic
732C22C2×#57711yescharacteristic
733C4—24no—
734C4—24no—
735C4—42no—
736C4—42no—
737C4—44no—
738C4—82no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4#242014yes—
745C4C2×#52911yescharacteristic
746C4C2×#54011yescharacteristic
747C4C2×#55311yescharacteristic
748C4C2×#55511yescharacteristic
749C2—44no—
750C2—82no—
751C2—84no—
752C2#2497318yesdirect product factor
753C2C2×#242011yescharacteristic
754C2C2×#309111yescharacteristic
755C2C2×#309611yescharacteristic
756C2C2×#329711yescharacteristic
757C2C2×#330111yescharacteristic
758C2C2×#332211yescharacteristic
759C2C2×#332311yescharacteristic
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×#2352C2semidirect
3. #24973C2direct (N × H)
4. C2×#2077C2semidirect
5. C2×#2075C2semidirect
6. C2×#2034C2semidirect
7. C2×#2033C2semidirect
8. C2×#1954C2semidirect
9. C2×#1949C2semidirect
10. C2×#1875C2semidirect
11. C2×#1874C2semidirect
12. C2×#1835C2semidirect
13. C2×#1824C2semidirect
14. C2×#1825C2semidirect
15. C2×#1804C2semidirect
16. C2×C4×#102C2semidirect
40. #2352C22semidirect
54. #2077C22semidirect
55. #2075C22semidirect
56. #2034C22semidirect
57. #2033C22semidirect
58. #1954C22semidirect
59. #1949C22semidirect
60. #1875C22semidirect
61. #1874C22semidirect
62. #1835C22semidirect
63. #1825C22semidirect
64. #1824C22semidirect
65. #1804C22semidirect
66. C4×#102C22semidirect
752. C2#24973direct (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×#23522
#249732
C2×#20772
C2×#20752
C2×#20342
C2×#20332
C2×#19542
C2×#19492
C2×#18752
C2×#18742
C2×#18352
C2×#18242
C2×#18252
C2×#18042
C2×C4×#1022