Finite Group Databasebeta

← C2×#31291 #7504316

Subgroups — C2×#31291 #7504316

Order 512.

2488 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×#2497C211yesmaximal, characteristic, complemented
2C2×#2432C211yesmaximal, characteristic
3#31291C2116yesmaximal, direct product factor
4C2×#2094C211yesmaximal, characteristic, complemented
5C2×#2066C211yesmaximal, characteristic, complemented
6C2×#2043C211yesmaximal, characteristic, complemented
7C2×#2042C211yesmaximal, characteristic, complemented
8C2×#2035C211yesmaximal, characteristic, complemented
9C2×#2035C211yesmaximal, characteristic, complemented
10C2×#1983C211yesmaximal, characteristic, complemented
11C2×#1956C211yesmaximal, characteristic, complemented
12C2×#1934C211yesmaximal, characteristic, complemented
13C2×#1927C211yesmaximal, characteristic, complemented
14C2×#1923C211yesmaximal, characteristic, complemented
15C2×#1788C211yesmaximal, characteristic
16C2×#1788C211yesmaximal, characteristic
17C23×#41C2211yescharacteristic
18C22×C4⋊Q8C2211yescharacteristic
19C22×#124C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×#106C2211yescharacteristic
22C22×#106C2211yescharacteristic
23C22×C4⋊C8C2211yescharacteristic
24C22×#103C2211yescharacteristic
25C22×#103C2211yescharacteristic
26C22×#103C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#103C2211yescharacteristic
30C22×#103C2211yescharacteristic
31C22×#103C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×C22⋊C8C2211yescharacteristic
37C22×C22⋊C8C2211yescharacteristic
38C22×C4×C8C2211yescharacteristic
39#2497—24no—
40#2497C2218yescomplemented
41#2432—24no—
42#2432C2218yes—
43C2×#400—21no—
44C2×#396—21no—
45C2×#394—21no—
46C2×#394—21no—
47C2×#391C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#388—21no—
52C2×#387—21no—
53C2×#385—21no—
54C2×#385—21no—
55C2×#384C2211yescharacteristic
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×C4×C22⋊C4C2211yescharacteristic
60#2094C2218yescomplemented
61#2066C2218yescomplemented
62#2043C2218yescomplemented
63#2042C2218yescomplemented
64#2035C2218yescomplemented
65#2035C2218yescomplemented
66#1983C2218yescomplemented
67#1956C2218yescomplemented
68#1934C2218yescomplemented
69#1927C2218yescomplemented
70#1923C2218yescomplemented
71#1788C2218yes—
72#1788C2218yes—
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C22×#41—22no—
78C22×#41—24no—
79C22×#41—24no—
80C22×#41—42no—
81C22×#41—42no—
82C22×#41—42no—
83C22×#41—42no—
84C22×#41C2314yes—
85C23×Q8C2311yescharacteristic
86C23×Q8C2311yescharacteristic
87C23×D4—21no—
88C23×D4C2311yescharacteristic
89C24×C4—21no—
90C24×C4C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C2×C4⋊Q8—24no—
96C2×C4⋊Q8—22no—
97C2×C4⋊Q8—42no—
98C2×C4⋊Q8C2314yes—
99C2×#124—24no—
100C2×#124—22no—
101C2×#124—42no—
102C2×#124C2314yes—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—42no—
105C2×C22⋊Q8—42no—
106C2×C22⋊Q8C2314yes—
107C22×C4⋊C4—21no—
108C22×C4⋊C4—21no—
109C22×C4⋊C4—21no—
110C22×C4⋊C4—21no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
127C22×C22⋊C4D411yescharacteristic
128C22×C42—21no—
129C22×C42C2311yescharacteristic
130C22×C42C2311yescharacteristic
131C2×#106—42no—
132C2×#106—42no—
133C2×#106C2314yes—
134C2×#106C2314yes—
135C2×C4⋊C8—42no—
136C2×C4⋊C8C2314yes—
137C2×#103—24no—
138C2×#103—42no—
139C2×#103—42no—
140C2×#103—42no—
141C2×#103—42no—
142C2×#103—42no—
143C2×#103—42no—
144C2×#103—42no—
145C2×#103C2314yes—
146C2×#103C2314yes—
147C2×#103C2314yes—
148C2×#103C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#102—24no—
154C2×#102—42no—
155C2×#102—42no—
156C2×#102—42no—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8—42no—
162C2×C22⋊C8—42no—
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2314yes—
165C2×C4×C8—42no—
166C2×C4×C8C2314yes—
167#400—28no—
168#396—28no—
169#394—28no—
170#394—28no—
171#391—22no—
172#391C2314yes—
173#390—22no—
174#390C2314yes—
175#389—22no—
176#389—22no—
177#389C2314yes—
178#389C2314yes—
179#388—28no—
180#387—28no—
181#385—28no—
182#385—28no—
183#384—22no—
184#384C2314yes—
185#380—22no—
186#380—22no—
187#380C2314yes—
188#380C2314yes—
189C4×C4⋊C4—22no—
190C4×C4⋊C4C2314yes—
191C4×C22⋊C4D414yes—
192C4×C22⋊C4C2314yes—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95D411yescharacteristic
201C2×#95D411yescharacteristic
202#340C2314yes—
203#340C2314yes—
204#336C2314yes—
205#336C2314yes—
206C25—21no—
207C25C2×D411yescharacteristic
208C2×#41—28no—
209C2×#41—28no—
210C2×#41—44no—
211C2×#41—44no—
212C2×#41—44no—
213C2×#41—44no—
214C2×#41—48no—
215C2×#41—48no—
216C2×#41—48no—
217C2×#41—416no—
218C2×#41—416no—
219C2×#41—416no—
220C2×#41—416no—
221C22×Q8—21no—
222C22×Q8—21no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8—22no—
231C22×Q8—22no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8#4114yes—
235C22×Q8C2412yes—
236C22×Q8C2412yes—
237C22×D4—24no—
238C22×D4—21no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—44no—
245C22×D4—44no—
246C22×D4—44no—
247C22×D4#4114yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—24no—
263C23×C4—44no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4C2×D412yes—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2412yes—
273C23×C4C2411yescharacteristic
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C22×C8C2412yes—
290C4⋊Q8—28no—
291C4⋊Q8—44no—
292C4⋊Q8—48no—
293#124—28no—
294#124—44no—
295#124—48no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298C22⋊Q8—48no—
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—22no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—82no—
326C2×C4⋊C4—82no—
327C2×C4⋊C4—82no—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
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—24no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—82no—
348C2×C22⋊C4—82no—
349C2×C22⋊C4C2×D414yes—
350C2×C22⋊C4C2×D414yes—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—22no—
354C2×C42—22no—
355C2×C42—24no—
356C2×C42—82no—
357C2×C42C2×D412yes—
358C2×C42C2×D412yes—
359C2×C42C2412yes—
360C2×C42C2412yes—
361#106—44no—
362#106—44no—
363C4⋊C8—44no—
364#103—28no—
365#103—44no—
366#103—44no—
367#103—44no—
368#103—44no—
369#103—44no—
370#103—44no—
371#103—44no—
372#102—28no—
373#102—44no—
374#102—44no—
375#102—44no—
376C22⋊C8—44no—
377C22⋊C8—44no—
378C4×C8—44no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95C2×D414yes—
387#95C2×D414yes—
388C24—22no—
389C24—24no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24C22×D412yes—
404C24C22×D411yescharacteristic
405#41—416no—
406#41—416no—
407#41—416no—
408#41—464no—
409#41—416no—
410C2×Q8—24no—
411C2×Q8—22no—
412C2×Q8—28no—
413C2×Q8—28no—
414C2×Q8—22no—
415C2×Q8—22no—
416C2×Q8—22no—
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—42no—
425C2×Q8—42no—
426C2×Q8—44no—
427C2×Q8—42no—
428C2×Q8—42no—
429C2×Q8—42no—
430C2×Q8—44no—
431C2×Q8—44no—
432C2×Q8—44no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×Q8C2×#4114yes—
436C2×D4—28no—
437C2×D4—24no—
438C2×D4—28no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—432no—
448C2×D4—42no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—44no—
452C2×D4C2×#4114yes—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—432no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4#13514yes—
512C22×C4#13714yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4C2511yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—44no—
539C2×C8—44no—
540C2×C8—44no—
541C2×C8—44no—
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—22no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—48no—
561C4⋊C4—84no—
562C4⋊C4—84no—
563C4⋊C4—84no—
564C22⋊C4—28no—
565C22⋊C4—28no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C42—24no—
574C42—24no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—84no—
580C23—22no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—44no—
589C23—48no—
590C23—42no—
591C23—48no—
592C23—44no—
593C23—42no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—48no—
599C23—44no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23#53512yes—
609C23#54612yes—
610C23#54612yes—
611C23C2×#13512yes—
612C23C2×#13712yes—
613C23#57712yes—
614C23#57712yes—
615C23C23×D411yescharacteristic
616Q8—24no—
617Q8—24no—
618Q8—42no—
619Q8—48no—
620Q8—42no—
621Q8—42no—
622Q8—42no—
623Q8—42no—
624Q8—42no—
625Q8—84no—
626D4—24no—
627D4—24no—
628D4—432no—
629D4—42no—
630D4—48no—
631D4—42no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—28no—
635C2×C4—28no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—432no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—48no—
653C2×C4—42no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—48no—
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—84no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4#53512yes—
685C2×C4#53814yes—
686C2×C4#53814yes—
687C2×C4#54612yes—
688C2×C4#54612yes—
689C2×C4#55114yes—
690C2×C4#56014yes—
691C2×C4C2×#13514yes—
692C2×C4C2×#13714yes—
693C2×C4C22×#4111yescharacteristic
694C2×C4C22×#4111yescharacteristic
695C2×C4C2×H(5,𝔽2)11yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×H(5,𝔽2)11yescharacteristic
698C2×C4C2×H(5,𝔽2)11yescharacteristic
699C8—42no—
700C8—42no—
701C8—42no—
702C8—42no—
703C22—42no—
704C22—42no—
705C22—44no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—44no—
710C22—42no—
711C22—42no—
712C22—44no—
713C22—88no—
714C22—816no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22#268514yes—
720C22#321014yes—
721C22#322114yes—
722C22#330114yes—
723C22#330314yes—
724C22#331614yes—
725C22#333114yes—
726C22C2×#53511yescharacteristic
727C22C2×#54611yescharacteristic
728C22C2×#54611yescharacteristic
729C22C22×#13511yescharacteristic
730C22C22×#13711yescharacteristic
731C22C2×#57711yescharacteristic
732C22C2×#57711yescharacteristic
733C4—24no—
734C4—24no—
735C4—42no—
736C4—44no—
737C4—42no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4—82no—
745C4#268514yes—
746C4C2×#53811yescharacteristic
747C4C2×#53811yescharacteristic
748C4C2×#55111yescharacteristic
749C4C2×#56011yescharacteristic
750C2—82no—
751C2—84no—
752C2#3129118yesdirect product factor
753C2C2×#268511yescharacteristic
754C2C2×#321011yescharacteristic
755C2C2×#322111yescharacteristic
756C2C2×#330111yescharacteristic
757C2C2×#330311yescharacteristic
758C2C2×#331611yescharacteristic
759C2C2×#333111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×#41C22
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. C2×#2497C2semidirect
3. #31291C2direct (N × H)
4. C2×#2094C2semidirect
5. C2×#2066C2semidirect
6. C2×#2043C2semidirect
7. C2×#2042C2semidirect
8. C2×#2035C2semidirect
9. C2×#2035C2semidirect
10. C2×#1983C2semidirect
11. C2×#1956C2semidirect
12. C2×#1934C2semidirect
13. C2×#1927C2semidirect
14. C2×#1923C2semidirect
40. #2497C22semidirect
60. #2094C22semidirect
61. #2066C22semidirect
62. #2043C22semidirect
63. #2042C22semidirect
64. #2035C22semidirect
65. #2035C22semidirect
66. #1983C22semidirect
67. #1956C22semidirect
68. #1934C22semidirect
69. #1927C22semidirect
70. #1923C22semidirect
752. C2#31291direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24972
C2×#24322
#312912
C2×#20942
C2×#20662
C2×#20432
C2×#20422
C2×#20352
C2×#19832
C2×#19562
C2×#19342
C2×#19272
C2×#19232
C2×#17882