Finite Group Databasebeta

← C2×#28873 #6460080

Subgroups — C2×#28873 #6460080

Order 512.

2466 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×#2512C211yesmaximal, characteristic, complemented
2C2×#2445C211yesmaximal, characteristic, complemented
3#28873C2116yesmaximal, direct product factor
4C2×#2083C211yesmaximal, characteristic, complemented
5C2×#2067C211yesmaximal, characteristic, complemented
6C2×#2054C211yesmaximal, characteristic, complemented
7C2×#2011C211yesmaximal, characteristic
8C2×#1970C211yesmaximal, characteristic, complemented
9C2×#1970C211yesmaximal, characteristic, complemented
10C2×#1957C211yesmaximal, characteristic, complemented
11C2×#1934C211yesmaximal, characteristic, complemented
12C2×#1934C211yesmaximal, characteristic, complemented
13C2×#1925C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×C8×C4⋊C4C211yesmaximal, characteristic, complemented
16C2×C4×#102C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×#127C2211yescharacteristic
20C22×#126—21no—
21C22×#123—21no—
22C22×C4×D4C2211yescharacteristic
23C22×#107C2211yescharacteristic
24C22×#107C2211yescharacteristic
25C22×C4⋊C8C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×C4×C8C2211yescharacteristic
35C22×C4×C8C2211yescharacteristic
36C22×C4×C8C2211yescharacteristic
37#2512—24no—
38#2512C2218yescomplemented
39#2445—24no—
40#2445C2218yescomplemented
41C2×#397—21no—
42C2×#396—21no—
43C2×#394—21no—
44C2×#394—21no—
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#388—21no—
54C2×#386—21no—
55C2×#384C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C4⋊C4C2211yescharacteristic
58#2083C2218yescomplemented
59#2067C2218yescomplemented
60#2054C2218yescomplemented
61#2011C2218yes—
62#1970C2218yescomplemented
63#1970C2218yescomplemented
64#1957C2218yescomplemented
65#1934C2218yescomplemented
66#1934C2218yescomplemented
67#1925C2218yescomplemented
68#1879C2218yescomplemented
69C8×C4⋊C4C2218yescomplemented
70C4×#102C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×D4—21no—
78C23×D4—21no—
79C23×D4C2311yescharacteristic
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C22×D8—24no—
84C22×D8—24no—
85C22×D8—24no—
86C22×D8—42no—
87C22×D8—42no—
88C22×D8—42no—
89C22×D8C2314yes—
90C22×D8C2314yes—
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C2×#127—24no—
96C2×#127—22no—
97C2×#127—42no—
98C2×#127C2314yes—
99C2×#126—28no—
100C2×#126—48no—
101C2×#123—28no—
102C2×#123—48no—
103C2×C4×D4—24no—
104C2×C4×D4—22no—
105C2×C4×D4—42no—
106C2×C4×D4C2314yes—
107C22×C4⋊C4—21no—
108C22×C4⋊C4—21no—
109C22×C4⋊C4—21no—
110C22×C4⋊C4—21no—
111C22×C4⋊C4D411yescharacteristic
112C22×C4⋊C4D411yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C22⋊C4—21no—
119C22×C22⋊C4—21no—
120C22×C22⋊C4—21no—
121C22×C22⋊C4—21no—
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⋊C4—21no—
131C22×C42—21no—
132C22×C42C2311yescharacteristic
133C22×C42C2311yescharacteristic
134C22×C42C2311yescharacteristic
135C2×#107—42no—
136C2×#107—42no—
137C2×#107C2314yes—
138C2×#107C2314yes—
139C2×C4⋊C8—24no—
140C2×C4⋊C8C2314yes—
141C2×#102—24no—
142C2×#102—24no—
143C2×#102—24no—
144C2×#102—24no—
145C2×#102—24no—
146C2×#102—42no—
147C2×#102—42no—
148C2×#102—42no—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×C4×C8—24no—
158C2×C4×C8—42no—
159C2×C4×C8—42no—
160C2×C4×C8C2314yes—
161C2×C4×C8C2314yes—
162C2×C4×C8C2314yes—
163#397—28no—
164#396—28no—
165#394—28no—
166#394—28no—
167#390—22no—
168#390—22no—
169#390—22no—
170#390—22no—
171#390—22no—
172#390—22no—
173#390C2314yes—
174#390C2314yes—
175#390C2314yes—
176#390C2314yes—
177#390C2314yes—
178#390C2314yes—
179#389—22no—
180#389—22no—
181#389C2314yes—
182#389C2314yes—
183#388—28no—
184#386—28no—
185#384—22no—
186#384C2314yes—
187C4×C4⋊C4—22no—
188C4×C4⋊C4D414yes—
189C4×C4⋊C4C2314yes—
190C4×C4⋊C4C2314yes—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95D411yescharacteristic
195C2×#95D411yescharacteristic
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#340C2314yes—
200#336C2314yes—
201#336C2314yes—
202C25—21no—
203C25—21no—
204C25—21no—
205C22×D4—21no—
206C22×D4—21no—
207C22×D4—21no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4—82no—
232C22×D4—82no—
233C22×D4#4114yes—
234C22×D4C2412yes—
235C22×D4C2412yes—
236C22×D4C2412yes—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—24no—
243C23×C4—44no—
244C23×C4—44no—
245C23×C4—82no—
246C23×C4C2×D411yescharacteristic
247C23×C4C2×D411yescharacteristic
248C23×C4C2×D411yescharacteristic
249C23×C4C2×D411yescharacteristic
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2411yescharacteristic
253C2×D8—28no—
254C2×D8—28no—
255C2×D8—28no—
256C2×D8—44no—
257C2×D8—44no—
258C2×D8—44no—
259C2×D8—416no—
260C2×D8—416no—
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#4114yes—
271C22×C8#4114yes—
272C22×C8#4114yes—
273C22×C8C2412yes—
274C22×C8C2412yes—
275C22×C8C2412yes—
276C22×C8C2412yes—
277#127—28no—
278#127—44no—
279#127—48no—
280#126—432no—
281#123—432no—
282C4×D4—28no—
283C4×D4—44no—
284C4×D4—48no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4—44no—
307C2×C4⋊C4—44no—
308C2×C4⋊C4—82no—
309C2×C4⋊C4D818yescomplemented
310C2×C4⋊C4C2×D414yes—
311C2×C4⋊C4C2×D414yes—
312C2×C4⋊C4C2412yes—
313C2×C4⋊C4C2412yes—
314C2×C4⋊C4C2412yes—
315C2×C4⋊C4C2412yes—
316C2×C4⋊C4C2412yes—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—82no—
339C2×C22⋊C4—82no—
340C2×C22⋊C4—82no—
341C2×C22⋊C4—82no—
342C2×C22⋊C4—82no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—24no—
350C2×C42—44no—
351C2×C42C2×D412yes—
352C2×C42C2×D412yes—
353C2×C42C2×D412yes—
354C2×C42C2412yes—
355C2×C42C2412yes—
356C2×C42C2412yes—
357#107—44no—
358#107—44no—
359C4⋊C8—28no—
360#102—28no—
361#102—28no—
362#102—28no—
363#102—28no—
364#102—28no—
365#102—44no—
366#102—44no—
367#102—44no—
368C4×C8—28no—
369C4×C8—44no—
370C4×C8—44no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95C2×D414yes—
375#95C2×D414yes—
376C24—24no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—42no—
381C24—42no—
382C24—42no—
383C24—42no—
384C24—42no—
385C24—42no—
386C24—42no—
387C24—42no—
388C24—42no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24C22×D411yescharacteristic
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—22no—
410C2×D4—22no—
411C2×D4—22no—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—44no—
424C2×D4—44no—
425C2×D4—42no—
426C2×D4—42no—
427C2×D4—42no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—42no—
432C2×D4—42no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—48no—
442C2×D4—48no—
443C2×D4—84no—
444C2×D4—84no—
445C2×D4—816no—
446C2×D4—816no—
447C2×D4C2×#4114yes—
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—22no—
467C22×C4—48no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
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—48no—
484C22×C4—84no—
485C22×C4—816no—
486C22×C4C2×D814yes—
487C22×C4C2×D814yes—
488C22×C4C2×D814yes—
489C22×C4#13514yes—
490C22×C4C22×D412yes—
491C22×C4C22×D412yes—
492C22×C4C22×D412yes—
493C22×C4C22×D412yes—
494C22×C4C22×D412yes—
495C22×C4C22×D412yes—
496C22×C4C22×D411yescharacteristic
497C22×C4C2×#4112yes—
498C22×C4C2×#4112yes—
499C22×C4C2×#4112yes—
500C22×C4C2×#4112yes—
501C22×C4H(5,𝔽2)12yes—
502C22×C4H(5,𝔽2)12yes—
503C22×C4C2511yescharacteristic
504D8—416no—
505D8—416no—
506C2×C8—28no—
507C2×C8—28no—
508C2×C8—28no—
509C2×C8—22no—
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—44no—
519C2×C8C2×#4114yes—
520C2×C8C2×#4114yes—
521C2×C8C2×#4114yes—
522C4⋊C4—28no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—84no—
542C4⋊C4C2×D8116yescomplemented
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—84no—
552C22⋊C4—84no—
553C22⋊C4—84no—
554C22⋊C4—84no—
555C22⋊C4—84no—
556C42—24no—
557C42—24no—
558C42—24no—
559C42—22no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—22no—
564C42—22no—
565C42—48no—
566C23—24no—
567C23—42no—
568C23—42no—
569C23—48no—
570C23—48no—
571C23—42no—
572C23—42no—
573C23—48no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—84no—
591C23—84no—
592C23—84no—
593C23—84no—
594C23—84no—
595C23—84no—
596C23—84no—
597C23—84no—
598C23—84no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23#53212yes—
609C23#54612yes—
610C23#55012yes—
611C23C22×D812yes—
612C23C2×#13512yes—
613C23#57612yes—
614C23#57712yes—
615C23C23×D411yescharacteristic
616D4—24no—
617D4—24no—
618D4—42no—
619D4—42no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—42no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—48no—
629D4—816no—
630D4—816no—
631D4—84no—
632D4—84no—
633C2×C4—28no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—28no—
639C2×C4—28no—
640C2×C4—28no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—44no—
652C2×C4—44no—
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—84no—
670C2×C4—84no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4#52914yes—
675C2×C4#53212yes—
676C2×C4#53814yes—
677C2×C4#54612yes—
678C2×C4#55012yes—
679C2×C4#55114yes—
680C2×C4#55314yes—
681C2×C4C22×D814yes—
682C2×C4C22×D814yes—
683C2×C4C22×D814yes—
684C2×C4C2×#13514yes—
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—24no—
692C8—24no—
693C8—24no—
694C8—42no—
695C22—44no—
696C22—44no—
697C22—44no—
698C22—82no—
699C22—816no—
700C22—82no—
701C22—82no—
702C22—82no—
703C22—82no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—168no—
718C22—168no—
719C22#255414yes—
720C22#316914yes—
721C22#317914yes—
722C22#329414yes—
723C22#329714yes—
724C22#339114yes—
725C22#339414yes—
726C22C2×#53211yescharacteristic
727C22C2×#54611yescharacteristic
728C22C2×#55011yescharacteristic
729C22C23×D811yescharacteristic
730C22C22×#13511yescharacteristic
731C22C2×#57611yescharacteristic
732C22C2×#57711yescharacteristic
733C4—24no—
734C4—24no—
735C4—24no—
736C4—24no—
737C4—42no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4#255414yes—
745C4C2×#52911yescharacteristic
746C4C2×#53811yescharacteristic
747C4C2×#55111yescharacteristic
748C4C2×#55311yescharacteristic
749C2—84no—
750C2—162no—
751C2—162no—
752C2#2887318yesdirect product factor
753C2C2×#255411yescharacteristic
754C2C2×#316911yescharacteristic
755C2C2×#317911yescharacteristic
756C2C2×#329411yescharacteristic
757C2C2×#329711yescharacteristic
758C2C2×#339111yescharacteristic
759C2C2×#339411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2011C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2512C2semidirect
2. C2×#2445C2semidirect
3. #28873C2direct (N × H)
4. C2×#2083C2semidirect
5. C2×#2067C2semidirect
6. C2×#2054C2semidirect
8. C2×#1970C2semidirect
9. C2×#1970C2semidirect
10. C2×#1957C2semidirect
11. C2×#1934C2semidirect
12. C2×#1934C2semidirect
13. C2×#1925C2semidirect
14. C2×#1879C2semidirect
15. C2×C8×C4⋊C4C2semidirect
16. C2×C4×#102C2semidirect
38. #2512C22semidirect
40. #2445C22semidirect
58. #2083C22semidirect
59. #2067C22semidirect
60. #2054C22semidirect
62. #1970C22semidirect
63. #1970C22semidirect
64. #1957C22semidirect
65. #1934C22semidirect
66. #1934C22semidirect
67. #1925C22semidirect
68. #1879C22semidirect
69. C8×C4⋊C4C22semidirect
70. C4×#102C22semidirect
309. C2×C4⋊C4D8semidirect
542. C4⋊C4C2×D8semidirect
752. C2#28873direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#25122
C2×#24452
#288732
C2×#20832
C2×#20672
C2×#20542
C2×#20112
C2×#19702
C2×#19572
C2×#19342
C2×#19252
C2×#18792
C2×C8×C4⋊C42
C2×C4×#1022