Finite Group Databasebeta

← C2×#27277 #6440743

Subgroups — C2×#27277 #6440743

Order 512.

2858 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#487C211yesmaximal, characteristic, complemented
2C22×#419C211yesmaximal, characteristic
3C2×#2439C211yesmaximal, characteristic
4C2×#2434C211yesmaximal, characteristic
5#27277C2116yesmaximal, direct product factor
6C2×#2074C211yesmaximal, characteristic, complemented
7C2×#2043C211yesmaximal, characteristic, complemented
8C2×#2043C211yesmaximal, characteristic, complemented
9C2×#2024C211yesmaximal, characteristic, complemented
10C2×#1960C211yesmaximal, characteristic, complemented
11C2×#1935C211yesmaximal, characteristic, complemented
12C2×#1933C211yesmaximal, characteristic, complemented
13C2×#1894C211yesmaximal, characteristic
14C2×#1873C211yesmaximal, characteristic
15C2×#1787C211yesmaximal, characteristic
16C2×#1753C211yesmaximal, characteristic
17C24×Q8C2211yescharacteristic
18C23×M16C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C2×#487—28no—
25C2×#487C2218yescomplemented
26C2×#419—28no—
27C2×#419C2218yes—
28C22×#103C2211yescharacteristic
29C22×#103C2211yescharacteristic
30C22×#103C2211yescharacteristic
31C22×#103C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#103C2211yescharacteristic
39C22×#103C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×#97C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2439—24no—
44#2439C2218yes—
45#2434—24no—
46#2434C2218yes—
47C2×#396—21no—
48C2×#395—21no—
49C2×#395—21no—
50C2×#393—21no—
51C2×#391—21no—
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#387—21no—
57C2×#385—21no—
58C2×#385—21no—
59C2×#382C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2074C2218yescomplemented
63#2043C2218yescomplemented
64#2043C2218yescomplemented
65#2024C2218yescomplemented
66#1960C2218yescomplemented
67#1935C2218yescomplemented
68#1933C2218yescomplemented
69#1894C2218yes—
70#1873C2218yes—
71#1787C2218yes—
72#1753C2218yes—
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8—22no—
81C23×Q8—21no—
82C23×Q8—24no—
83C23×Q8—24no—
84C23×Q8—24no—
85C23×Q8—24no—
86C23×Q8—42no—
87C23×Q8—42no—
88C23×Q8C2311yescharacteristic
89C23×Q8C2311yescharacteristic
90C23×Q8C2311yescharacteristic
91C23×Q8C2314yes—
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C22×M16—24no—
95C22×M16—24no—
96C22×M16—42no—
97C22×M16C2314yes—
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C2×C4⋊Q8—24no—
103C2×C4⋊Q8—24no—
104C2×C4⋊Q8—24no—
105C2×C4⋊Q8—22no—
106C2×C4⋊Q8—22no—
107C2×C4⋊Q8—22no—
108C2×C4⋊Q8—42no—
109C2×C4⋊Q8—42no—
110C2×C4⋊Q8—42no—
111C2×C4⋊Q8C2314yes—
112C2×C4⋊Q8C2314yes—
113C2×C4⋊Q8C2314yes—
114C2×C22⋊Q8—22no—
115C2×C22⋊Q8—24no—
116C2×C22⋊Q8—24no—
117C2×C22⋊Q8C2314yes—
118C2×#117—22no—
119C2×#117—24no—
120C2×#117—42no—
121C2×#117C2314yes—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4D411yescharacteristic
139C22×C22⋊C4D411yescharacteristic
140C22×C42—21no—
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143#487—232no—
144#419—232no—
145C2×#103—24no—
146C2×#103—24no—
147C2×#103—24no—
148C2×#103—24no—
149C2×#103—24no—
150C2×#103—24no—
151C2×#103—24no—
152C2×#103—42no—
153C2×#103—42no—
154C2×#103—42no—
155C2×#103—42no—
156C2×#103D418yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×C22⋊C8—24no—
170C2×C22⋊C8C2314yes—
171C2×#97—42no—
172C2×#97C2314yes—
173C2×C4×C8—24no—
174C2×C4×C8C2314yes—
175#396—28no—
176#395—28no—
177#395—28no—
178#393—28no—
179#391—22no—
180#391—22no—
181#391—28no—
182#391C2314yes—
183#391C2314yes—
184#389—22no—
185#389—22no—
186#389C2314yes—
187#389C2314yes—
188#387—28no—
189#385—28no—
190#385—28no—
191#382—22no—
192#382C2314yes—
193#380—22no—
194#380C2314yes—
195C4×C22⋊C4D414yes—
196C4×C22⋊C4C2314yes—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95D411yescharacteristic
207C2×#95D411yescharacteristic
208#340C2314yes—
209#340C2314yes—
210#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25C2×D411yescharacteristic
215C22×Q8—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—24no—
219C22×Q8—24no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—232no—
223C22×Q8—28no—
224C22×Q8—28no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—28no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8—22no—
231C22×Q8—22no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—22no—
235C22×Q8—22no—
236C22×Q8—28no—
237C22×Q8—22no—
238C22×Q8—22no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—44no—
242C22×Q8—44no—
243C22×Q8—44no—
244C22×Q8—44no—
245C22×Q8—44no—
246C22×Q8—48no—
247C22×Q8—416no—
248C22×Q8—48no—
249C22×Q8—416no—
250C22×Q8—416no—
251C22×Q8—44no—
252C22×Q8—48no—
253C22×Q8—44no—
254C22×Q8—82no—
255C22×Q8C2×D414yes—
256C22×Q8#4114yes—
257C22×Q8C2412yes—
258C22×Q8C2412yes—
259C22×Q8C2412yes—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—24no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4#4114yes—
283C23×C4#4114yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×M16—28no—
287C2×M16—28no—
288C2×M16—44no—
289C2×M16—416no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8—22no—
297C22×C8—22no—
298C22×C8—22no—
299C22×C8—22no—
300C22×C8—22no—
301C22×C8C2×D414yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C4⋊Q8—28no—
307C4⋊Q8—28no—
308C4⋊Q8—28no—
309C4⋊Q8—44no—
310C4⋊Q8—48no—
311C4⋊Q8—44no—
312C4⋊Q8—44no—
313C4⋊Q8—48no—
314C4⋊Q8—48no—
315C22⋊Q8—28no—
316C22⋊Q8—28no—
317C22⋊Q8—48no—
318#117—28no—
319#117—44no—
320#117—48no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—44no—
349C2×C4⋊C4—44no—
350C2×C4⋊C4—82no—
351C2×C4⋊C4C2×D414yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—82no—
365C2×C22⋊C4C2×D414yes—
366C2×C22⋊C4C2×D414yes—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—24no—
372C2×C42—44no—
373C2×C42C2×D412yes—
374C2×C42C2×D412yes—
375C2×C42C2412yes—
376C2×C42C2412yes—
377#103—28no—
378#103—28no—
379#103—28no—
380#103—28no—
381#103—28no—
382#103—28no—
383#103—28no—
384#103—44no—
385#103—44no—
386#103—44no—
387#103—44no—
388#103C2×D4116yes—
389C22⋊C8—28no—
390#97—44no—
391C4×C8—28no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95C2×D414yes—
402#95C2×D414yes—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24#12414yes—
410C24C22×D412yes—
411C24C22×D411yescharacteristic
412C2×Q8—24no—
413C2×Q8—24no—
414C2×Q8—22no—
415C2×Q8—22no—
416C2×Q8—232no—
417C2×Q8—28no—
418C2×Q8—28no—
419C2×Q8—28no—
420C2×Q8—28no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—48no—
436C2×Q8—48no—
437C2×Q8—48no—
438C2×Q8—416no—
439C2×Q8—416no—
440C2×Q8—432no—
441C2×Q8—416no—
442C2×Q8—464no—
443C2×Q8—48no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8—44no—
448C2×Q8—44no—
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×Q8—44no—
453C2×Q8—42no—
454C2×Q8—44no—
455C2×Q8—48no—
456C2×Q8—44no—
457C2×Q8—44no—
458C2×Q8—44no—
459C2×Q8—44no—
460C2×Q8—84no—
461C2×Q8—816no—
462C2×Q8C22×D414yes—
463C2×Q8C2×#4114yes—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—28no—
471C22×C4—28no—
472C22×C4—24no—
473C22×C4—28no—
474C22×C4—24no—
475C22×C4—28no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—432no—
500C22×C4—48no—
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—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4#12414yes—
523C22×C4#12418yes—
524C22×C4#13714yes—
525C22×C4#13714yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4114yes—
534C22×C4C2×#4114yes—
535C22×C4C2×#4112yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4112yes—
538C22×C4H(5,𝔽2)12yes—
539C22×C4H(5,𝔽2)12yes—
540C22×C4C2511yescharacteristic
541M16—416no—
542C2×C8—28no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—44no—
555C2×C8—44no—
556C2×C8—44no—
557C2×C8C22×D414yes—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—48no—
571C4⋊C4—48no—
572C4⋊C4—48no—
573C4⋊C4—42no—
574C4⋊C4—48no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—48no—
579C4⋊C4—84no—
580C4⋊C4C22×D414yes—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—84no—
586C42—24no—
587C42—24no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—48no—
593C23—28no—
594C23—28no—
595C23—22no—
596C23—22no—
597C23—28no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23C2×#12414yes—
607C23C2×#12412yes—
608C23D4212yes—
609C23#54612yes—
610C23C2×#13712yes—
611C23C2×#13712yes—
612C23#57712yes—
613C23#57812yes—
614C23C23×D411yescharacteristic
615Q8—24no—
616Q8—24no—
617Q8—24no—
618Q8—24no—
619Q8—432no—
620Q8—42no—
621Q8—42no—
622Q8—42no—
623Q8—42no—
624Q8—48no—
625Q8—48no—
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—816no—
631Q8—84no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—28no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—216no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—432no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—48no—
663C2×C4—48no—
664C2×C4—48no—
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—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4#52514yes—
688C2×C4C2×#12414yes—
689C2×C4C2×#12412yes—
690C2×C4#53814yes—
691C2×C4D4212yes—
692C2×C4#54614yes—
693C2×C4#54612yes—
694C2×C4#55114yes—
695C2×C4C2×#13714yes—
696C2×C4C2×#13714yes—
697C2×C4C23×D411yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C2×C4C2×H(5,𝔽2)11yescharacteristic
703C8—24no—
704C8—42no—
705C8—42no—
706C8—42no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—42no—
711C22—42no—
712C22—416no—
713C22—42no—
714C22—42no—
715C22#247214yes—
716C22#313714yes—
717C22#313914yes—
718C22#326614yes—
719C22#327014yes—
720C22#332814yes—
721C22#332914yes—
722C22C22×#12411yescharacteristic
723C22C2×D4211yescharacteristic
724C22C2×#54611yescharacteristic
725C22C22×#13711yescharacteristic
726C22C22×#13711yescharacteristic
727C22C2×#57711yescharacteristic
728C22C2×#57811yescharacteristic
729C4—24no—
730C4—24no—
731C4—24no—
732C4—44no—
733C4—44no—
734C4—44no—
735C4—42no—
736C4—42no—
737C4—82no—
738C4—82no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4#247214yes—
743C4C2×#52511yescharacteristic
744C4C2×#53811yescharacteristic
745C4C2×#54611yescharacteristic
746C4C2×#55111yescharacteristic
747C2—44no—
748C2#2727718yesdirect product factor
749C2C2×#247211yescharacteristic
750C2C2×#313711yescharacteristic
751C2C2×#313911yescharacteristic
752C2C2×#326611yescharacteristic
753C2C2×#327011yescharacteristic
754C2C2×#332811yescharacteristic
755C2C2×#332911yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
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. C22×#487C2semidirect
5. #27277C2direct (N × H)
6. C2×#2074C2semidirect
7. C2×#2043C2semidirect
8. C2×#2043C2semidirect
9. C2×#2024C2semidirect
10. C2×#1960C2semidirect
11. C2×#1935C2semidirect
12. C2×#1933C2semidirect
25. C2×#487C22semidirect
62. #2074C22semidirect
63. #2043C22semidirect
64. #2043C22semidirect
65. #2024C22semidirect
66. #1960C22semidirect
67. #1935C22semidirect
68. #1933C22semidirect
748. C2#27277direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4872
C22×#4192
C2×#24392
C2×#24342
#272772
C2×#20742
C2×#20432
C2×#20242
C2×#19602
C2×#19352
C2×#19332
C2×#18942
C2×#18732
C2×#17872
C2×#17532