Finite Group Databasebeta

← C2×#30653 #7501392

Subgroups — C2×#30653 #7501392

Order 512.

2520 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#489C211yesmaximal, characteristic, complemented
2C22×#480C211yesmaximal, characteristic
3C2×#2427C211yesmaximal, characteristic
4C2×#2440C211yesmaximal, characteristic, complemented
5#30653C2116yesmaximal, direct product factor
6C2×#2095C211yesmaximal, characteristic, complemented
7C2×#2068C211yesmaximal, characteristic, complemented
8C2×#2057C211yesmaximal, characteristic, complemented
9C2×#2042C211yesmaximal, characteristic, complemented
10C2×#2035C211yesmaximal, characteristic, complemented
11C2×#2033C211yesmaximal, characteristic
12C2×#1944C211yesmaximal, characteristic, complemented
13C2×#1924C211yesmaximal, characteristic, complemented
14C2×#1872C211yesmaximal, characteristic, complemented
15C2×#1864C211yesmaximal, characteristic, complemented
16C2×#1802C211yesmaximal, characteristic, complemented
17C22×C4⋊Q8C2211yescharacteristic
18C22×#124C2211yescharacteristic
19C22×C22⋊Q8—21no—
20C22×C22⋊Q8C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C2×#489—28no—
25C2×#489C2218yescomplemented
26C2×#480—28no—
27C2×#480C2218yes—
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×#97C2211yescharacteristic
44#2440—24no—
45#2440C2218yescomplemented
46#2427—24no—
47#2427C2218yes—
48C2×#398—21no—
49C2×#397—21no—
50C2×#395—21no—
51C2×#394—21no—
52C2×#391C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#386—21no—
57C2×#385—21no—
58C2×#384C2211yescharacteristic
59C2×#380—21no—
60C2×#380C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2095C2218yescomplemented
63#2068C2218yescomplemented
64#2057C2218yescomplemented
65#2042C2218yescomplemented
66#2035C2218yescomplemented
67#2033C2218yes—
68#1944C2218yescomplemented
69#1924C2218yescomplemented
70#1872C2218yescomplemented
71#1864C2218yescomplemented
72#1802C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8C2311yescharacteristic
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C2×C4⋊Q8—24no—
91C2×C4⋊Q8—22no—
92C2×C4⋊Q8—42no—
93C2×C4⋊Q8C2314yes—
94C2×#124—24no—
95C2×#124—22no—
96C2×#124—42no—
97C2×#124C2314yes—
98C2×C22⋊Q8—22no—
99C2×C22⋊Q8—28no—
100C2×C22⋊Q8—24no—
101C2×C22⋊Q8—48no—
102C2×C22⋊Q8—42no—
103C2×C22⋊Q8C2314yes—
104C2×#121—22no—
105C2×#121—24no—
106C2×#121—42no—
107C2×#121C2314yes—
108C2×C4×D4—24no—
109C2×C4×D4—22no—
110C2×C4×D4—42no—
111C2×C4×D4C2314yes—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—22no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—42no—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2314yes—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4D411yescharacteristic
137C22×C22⋊C4D411yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#489—232no—
141#480—232no—
142C2×#107—24no—
143C2×#107—24no—
144C2×#107—42no—
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×#106—24no—
149C2×#106C2314yes—
150C2×C4⋊C8—42no—
151C2×C4⋊C8C2314yes—
152C2×#103—24no—
153C2×#103—24no—
154C2×#103—42no—
155C2×#103—42no—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102—24no—
161C2×#102—24no—
162C2×#102—42no—
163C2×#102D418yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×C22⋊C8—24no—
169C2×C22⋊C8—42no—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×#97—24no—
173C2×#97C2314yes—
174#398—28no—
175#397—28no—
176#395—28no—
177#394—28no—
178#391—22no—
179#391C2314yes—
180#389—22no—
181#389—22no—
182#389—22no—
183#389C2314yes—
184#389C2314yes—
185#389C2314yes—
186#386—28no—
187#385—28no—
188#384—22no—
189#384C2314yes—
190#380—22no—
191#380—28no—
192#380C2314yes—
193C4×C22⋊C4D414yes—
194C4×C22⋊C4C2314yes—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95D411yescharacteristic
202C2×#95D411yescharacteristic
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#336C2314yes—
208#336C2314yes—
209C25—21no—
210C25C2×D411yescharacteristic
211C22×Q8—21no—
212C22×Q8—24no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—22no—
216C22×Q8—22no—
217C22×Q8—22no—
218C22×Q8—22no—
219C22×Q8—44no—
220C22×Q8—44no—
221C22×Q8—82no—
222C22×Q8C2412yes—
223C22×D4—24no—
224C22×D4—21no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—44no—
231C22×D4—44no—
232C22×D4—82no—
233C22×D4C2×D414yes—
234C22×D4C2412yes—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—82no—
255C23×C4—82no—
256C23×C4C2×D412yes—
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
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×C8C2×D414yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C4⋊Q8—28no—
281C4⋊Q8—44no—
282C4⋊Q8—48no—
283#124—28no—
284#124—44no—
285#124—48no—
286C22⋊Q8—28no—
287C22⋊Q8—432no—
288C22⋊Q8—44no—
289C22⋊Q8—48no—
290#121—28no—
291#121—44no—
292#121—48no—
293C4×D4—28no—
294C4×D4—44no—
295C4×D4—48no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
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—21no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—48no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—82no—
330C2×C4⋊C4—82no—
331C2×C4⋊C4C2×D414yes—
332C2×C4⋊C4#4114yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
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—24no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4C2×D414yes—
354C2×C22⋊C4C2×D414yes—
355C2×C42—22no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42C2×D412yes—
360C2×C42C2×D412yes—
361C2×C42C2412yes—
362C2×C42C2412yes—
363#107—28no—
364#107—28no—
365#107—44no—
366#106—28no—
367C4⋊C8—44no—
368#103—28no—
369#103—28no—
370#103—44no—
371#103—44no—
372#102—28no—
373#102—28no—
374#102—44no—
375#102C2×D4116yes—
376C22⋊C8—28no—
377C22⋊C8—44no—
378#97—28no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95C2×D414yes—
386#95C2×D414yes—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—22no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24AGL(1,ℤ/8)14yes—
402C24C22×D412yes—
403C24C22×D411yescharacteristic
404C2×Q8—22no—
405C2×Q8—22no—
406C2×Q8—22no—
407C2×Q8—22no—
408C2×Q8—22no—
409C2×Q8—22no—
410C2×Q8—48no—
411C2×Q8—48no—
412C2×Q8—42no—
413C2×Q8—42no—
414C2×Q8—42no—
415C2×Q8—44no—
416C2×Q8—44no—
417C2×Q8—44no—
418C2×Q8—44no—
419C2×Q8—84no—
420C2×Q8—816no—
421C2×D4—28no—
422C2×D4—24no—
423C2×D4—28no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—42no—
432C2×D4—44no—
433C2×D4—42no—
434C2×D4—44no—
435C2×D4—84no—
436C2×D4—816no—
437C2×D4C22×D414yes—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—22no—
446C22×C4—24no—
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—24no—
457C22×C4—24no—
458C22×C4—24no—
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—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—48no—
471C22×C4—48no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4—44no—
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—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—48no—
497C22×C4—84no—
498C22×C4—816no—
499C22×C4—84no—
500C22×C4—816no—
501C22×C4#13714yes—
502C22×C4C22×D412yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D412yes—
509C22×C4C2×#4112yes—
510C22×C4H(5,𝔽2)12yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C42−1+412yes—
513C22×C42−1+412yes—
514C22×C4C2511yescharacteristic
515C2×C8—28no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—44no—
528C2×C8—44no—
529C2×C8—44no—
530C2×C8C22×D414yes—
531C4⋊C4—24no—
532C4⋊C4—24no—
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—22no—
542C4⋊C4—22no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—84no—
554C4⋊C4—84no—
555C4⋊C4C22×D414yes—
556C4⋊C4C2×#4114yes—
557C22⋊C4—28no—
558C22⋊C4—28no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C42—24no—
566C42—24no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—28no—
575C23—28no—
576C23—28no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—48no—
586C23—42no—
587C23—42no—
588C23—48no—
589C23—48no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—84no—
595C23—84no—
596C23—84no—
597C23—84no—
598C23#53612yes—
599C23D4212yes—
600C23#54612yes—
601C23C2×AGL(1,ℤ/8)14yes—
602C23C2×AGL(1,ℤ/8)12yes—
603C23C2×#13712yes—
604C23#57612yes—
605C23#57812yes—
606C23C23×D411yescharacteristic
607Q8—42no—
608Q8—42no—
609Q8—42no—
610Q8—42no—
611Q8—816no—
612Q8—84no—
613D4—24no—
614D4—24no—
615D4—48no—
616D4—42no—
617D4—42no—
618D4—816no—
619C2×C4—22no—
620C2×C4—28no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—44no—
637C2×C4—44no—
638C2×C4—48no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—48no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—48no—
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—816no—
667C2×C4—816no—
668C2×C4—84no—
669C2×C4—84no—
670C2×C4—84no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4#53612yes—
674C2×C4#53714yes—
675C2×C4#54214yes—
676C2×C4D4212yes—
677C2×C4#54612yes—
678C2×C4#54714yes—
679C2×C4#56214yes—
680C2×C4C2×#13714yes—
681C2×C4C23×D411yescharacteristic
682C2×C4C22×#4111yescharacteristic
683C2×C4C2×H(5,𝔽2)11yescharacteristic
684C2×C4C2×H(5,𝔽2)11yescharacteristic
685C2×C4C2×2−1+411yescharacteristic
686C2×C4C2×2−1+411yescharacteristic
687C8—24no—
688C8—42no—
689C8—42no—
690C8—42no—
691C22—24no—
692C22—24no—
693C22—24no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—416no—
698C22—42no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—82no—
703C22—82no—
704C22—816no—
705C22—82no—
706C22—82no—
707C22#267214yes—
708C22#323814yes—
709C22#324314yes—
710C22#326414yes—
711C22#327614yes—
712C22#330814yes—
713C22#331414yes—
714C22C2×#53611yescharacteristic
715C22C2×D4211yescharacteristic
716C22C2×#54611yescharacteristic
717C22C22×AGL(1,ℤ/8)11yescharacteristic
718C22C22×#13711yescharacteristic
719C22C2×#57611yescharacteristic
720C22C2×#57811yescharacteristic
721C4—24no—
722C4—42no—
723C4—44no—
724C4—42no—
725C4—42no—
726C4—44no—
727C4—42no—
728C4—82no—
729C4—82no—
730C4—82no—
731C4—82no—
732C4—82no—
733C4#267214yes—
734C4C2×#53711yescharacteristic
735C4C2×#54211yescharacteristic
736C4C2×#54711yescharacteristic
737C4C2×#56211yescharacteristic
738C2—44no—
739C2—84no—
740C2#3065318yesdirect product factor
741C2C2×#267211yescharacteristic
742C2C2×#323811yescharacteristic
743C2C2×#324311yescharacteristic
744C2C2×#326411yescharacteristic
745C2C2×#327611yescharacteristic
746C2C2×#331411yescharacteristic
747C2C2×#330811yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
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×#489C2semidirect
4. C2×#2440C2semidirect
5. #30653C2direct (N × H)
6. C2×#2095C2semidirect
7. C2×#2068C2semidirect
8. C2×#2057C2semidirect
9. C2×#2042C2semidirect
10. C2×#2035C2semidirect
12. C2×#1944C2semidirect
13. C2×#1924C2semidirect
14. C2×#1872C2semidirect
15. C2×#1864C2semidirect
16. C2×#1802C2semidirect
25. C2×#489C22semidirect
45. #2440C22semidirect
62. #2095C22semidirect
63. #2068C22semidirect
64. #2057C22semidirect
65. #2042C22semidirect
66. #2035C22semidirect
68. #1944C22semidirect
69. #1924C22semidirect
70. #1872C22semidirect
71. #1864C22semidirect
72. #1802C22semidirect
740. C2#30653direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4892
C22×#4802
C2×#24272
C2×#24402
#306532
C2×#20952
C2×#20682
C2×#20572
C2×#20422
C2×#20352
C2×#20332
C2×#19442
C2×#19242
C2×#18722
C2×#18642
C2×#18022