Finite Group Databasebeta

← C2×#24310 #6445365

Subgroups — C2×#24310 #6445365

Order 512.

3264 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#544C211yesmaximal, characteristic
2C22×#479C211yesmaximal, characteristic, complemented
3C22×#475C211yesmaximal, characteristic, complemented
4C2×#2323C211yesmaximal, characteristic
5#24310C2116yesmaximal, direct product factor
6C2×#2059C211yesmaximal, characteristic, complemented
7C2×#2058C211yesmaximal, characteristic, complemented
8C2×#2026C211yesmaximal, characteristic, complemented
9C2×#2024C211yesmaximal, characteristic, complemented
10C2×#1989C211yesmaximal, characteristic, complemented
11C2×#1987C211yesmaximal, characteristic, complemented
12C2×#1873C211yesmaximal, characteristic
13C2×#1872C211yesmaximal, characteristic
14C2×#1854C211yesmaximal, characteristic
15C2×#1853C211yesmaximal, characteristic
16C2×#1798C211yesmaximal, characteristic
17C2×#544—28no—
18C2×#544—28no—
19C2×#544—24no—
20C2×#544C2218yes—
21C22×C4⋊Q8—21no—
22C22×C4⋊Q8C2211yescharacteristic
23C22×C4⋊Q8C2211yescharacteristic
24C22×#125—21no—
25C22×#125C2211yescharacteristic
26C22×#125C2211yescharacteristic
27C22×C22⋊Q8—21no—
28C22×C22⋊Q8—21no—
29C22×C22⋊Q8C2211yescharacteristic
30C22×C4×Q8C2211yescharacteristic
31C22×#117C2211yescharacteristic
32C22×#117C2211yescharacteristic
33C23×C4⋊C4C2211yescharacteristic
34C2×#479—28no—
35C2×#479C2218yescomplemented
36C2×#475—28no—
37C2×#475C2218yescomplemented
38C22×#107C2211yescharacteristic
39C22×#106C2211yescharacteristic
40C22×#106C2211yescharacteristic
41C22×#106C2211yescharacteristic
42C22×C4⋊C8C2211yescharacteristic
43C22×C4⋊C8C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C22×#103C2211yescharacteristic
47C22×#103C2211yescharacteristic
48C22×C22⋊C8C2211yescharacteristic
49C22×C22⋊C8C2211yescharacteristic
50#2323—24no—
51#2323C2218yes—
52C2×#391C2211yescharacteristic
53C2×#389—21no—
54C2×#389C2211yescharacteristic
55C2×#388—21no—
56C2×#388—21no—
57C2×#387—21no—
58C2×#380C2211yescharacteristic
59C2×C4×C4⋊C4C2211yescharacteristic
60#2059C2218yescomplemented
61#2058C2218yescomplemented
62#2026C2218yescomplemented
63#2024C2218yescomplemented
64#1989C2218yescomplemented
65#1987C2218yescomplemented
66#1873C2218yes—
67#1872C2218yes—
68#1854C2218yes—
69#1853C2218yes—
70#1798C2218yes—
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C2×#336C2211yescharacteristic
80C2×#336C2211yescharacteristic
81C23×Q8—21no—
82C23×Q8—21no—
83C23×Q8C2311yescharacteristic
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90#544—264no—
91#544—232no—
92#544—232no—
93C2×C4⋊Q8—216no—
94C2×C4⋊Q8—28no—
95C2×C4⋊Q8—24no—
96C2×C4⋊Q8—24no—
97C2×C4⋊Q8—22no—
98C2×C4⋊Q8—22no—
99C2×C4⋊Q8—24no—
100C2×C4⋊Q8D418yes—
101C2×C4⋊Q8C2314yes—
102C2×C4⋊Q8C2314yes—
103C2×#125—216no—
104C2×#125—28no—
105C2×#125—24no—
106C2×#125—24no—
107C2×#125—22no—
108C2×#125—22no—
109C2×#125—24no—
110C2×#125D418yes—
111C2×#125C2314yes—
112C2×#125C2314yes—
113C2×C22⋊Q8—216no—
114C2×C22⋊Q8—216no—
115C2×C22⋊Q8—22no—
116C2×C22⋊Q8—24no—
117C2×C22⋊Q8—28no—
118C2×C22⋊Q8—28no—
119C2×C22⋊Q8Q818yescomplemented
120C2×C22⋊Q8C2314yes—
121C2×C4×Q8—22no—
122C2×C4×Q8—24no—
123C2×C4×Q8—24no—
124C2×C4×Q8C2314yes—
125C2×#117—22no—
126C2×#117—24no—
127C2×#117—24no—
128C2×#117—24no—
129C2×#117—24no—
130C2×#117D414yes—
131C2×#117C2314yes—
132C2×#117C2314yes—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—24no—
143C22×C4⋊C4—24no—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4D411yescharacteristic
147C22×C4⋊C4D411yescharacteristic
148C22×C4⋊C4C2314yes—
149C22×C4⋊C4C2311yescharacteristic
150C22×C4⋊C4C2311yescharacteristic
151C22×C4⋊C4C2311yescharacteristic
152C22×C4⋊C4C2311yescharacteristic
153C22×C4⋊C4C2311yescharacteristic
154C22×C4⋊C4C2311yescharacteristic
155C22×C4⋊C4C2311yescharacteristic
156C22×C22⋊C4—21no—
157C22×C22⋊C4—21no—
158C22×C22⋊C4—21no—
159C22×C22⋊C4D411yescharacteristic
160C22×C22⋊C4D411yescharacteristic
161C22×C42—21no—
162C22×C42—21no—
163C22×C42—21no—
164C22×C42C2311yescharacteristic
165C22×C42C2311yescharacteristic
166#479—232no—
167#475—232no—
168C2×#107—24no—
169C2×#107C2314yes—
170C2×#106—24no—
171C2×#106—24no—
172C2×#106—24no—
173C2×#106C2314yes—
174C2×#106C2314yes—
175C2×#106C2314yes—
176C2×C4⋊C8—24no—
177C2×C4⋊C8—24no—
178C2×C4⋊C8C2314yes—
179C2×C4⋊C8C2314yes—
180C2×#103—24no—
181C2×#103—24no—
182C2×#103—24no—
183C2×#103—24no—
184C2×#103C2314yes—
185C2×#103C2314yes—
186C2×#103C2314yes—
187C2×#103C2314yes—
188C2×C22⋊C8—24no—
189C2×C22⋊C8—24no—
190C2×C22⋊C8C2314yes—
191C2×C22⋊C8C2314yes—
192#391—22no—
193#391C2314yes—
194#389—28no—
195#389—22no—
196#389C2314yes—
197#388—28no—
198#388—28no—
199#387—28no—
200#380—22no—
201#380C2314yes—
202C4×C4⋊C4—22no—
203C4×C4⋊C4C2314yes—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95—21no—
209#340C2314yes—
210#340C2314yes—
211#340C2314yes—
212#340C2314yes—
213#340C2314yes—
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#336C2314yes—
218#336C2314yes—
219C25C2×D411yescharacteristic
220C22×Q8—28no—
221C22×Q8—28no—
222C22×Q8—21no—
223C22×Q8—24no—
224C22×Q8—24no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8—82no—
231C22×Q8—82no—
232C22×Q8—82no—
233C22×Q8—82no—
234C22×Q8C2×Q814yes—
235C22×Q8C2412yes—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—28no—
247C23×C4—24no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—82no—
251C23×C4—82no—
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D412yes—
257C23×C4C2×D411yescharacteristic
258C23×C4C2×Q814yes—
259C23×C4#4114yes—
260C23×C4C2412yes—
261C23×C4C2411yescharacteristic
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×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8C2412yes—
275C22×C8C2412yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278C4⋊Q8—264no—
279C4⋊Q8—216no—
280C4⋊Q8—28no—
281C4⋊Q8—28no—
282C4⋊Q8—216no—
283C4⋊Q8—28no—
284C4⋊Q8C2×D4116yes—
285#125—264no—
286#125—216no—
287#125—28no—
288#125—28no—
289#125—216no—
290#125—28no—
291#125C2×D4116yes—
292C22⋊Q8—264no—
293C22⋊Q8—264no—
294C22⋊Q8—216no—
295C22⋊Q8—28no—
296C22⋊Q8C2×Q8116yescomplemented
297C4×Q8—28no—
298C4×Q8—28no—
299C4×Q8—48no—
300#117—216no—
301#117—28no—
302#117—28no—
303#117—216no—
304#117—28no—
305#117—28no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—216no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—28no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—28no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—28no—
336C2×C4⋊C4—28no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—82no—
347C2×C4⋊C4C2×D414yes—
348C2×C4⋊C4C2×D414yes—
349C2×C4⋊C4C2×D414yes—
350C2×C4⋊C4C2×D414yes—
351C2×C4⋊C4C2×D414yes—
352C2×C4⋊C4C2×D414yes—
353C2×C4⋊C4C2×Q814yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C22⋊C4—28no—
362C2×C22⋊C4—28no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—82no—
369C2×C22⋊C4C2×D414yes—
370C2×C22⋊C4C2×D414yes—
371C2×C42—28no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—44no—
378C2×C42—82no—
379C2×C42C2×D412yes—
380C2×C42C2×D412yes—
381C2×C42C2×D414yes—
382C2×C42C2×D414yes—
383C2×C42C2412yes—
384C2×C42C2412yes—
385#107—28no—
386#106—28no—
387#106—28no—
388#106—28no—
389C4⋊C8—28no—
390C4⋊C8—28no—
391#103—28no—
392#103—28no—
393#103—28no—
394#103—28no—
395C22⋊C8—28no—
396C22⋊C8—28no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95—24no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24C22⋊Q814yes—
409C24C22×D412yes—
410C24C22×D411yescharacteristic
411C2×Q8—216no—
412C2×Q8—216no—
413C2×Q8—24no—
414C2×Q8—22no—
415C2×Q8—28no—
416C2×Q8—28no—
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—42no—
422C2×Q8—42no—
423C2×Q8—44no—
424C2×Q8—44no—
425C2×Q8—816no—
426C2×Q8—84no—
427C2×Q8—84no—
428C2×Q8—84no—
429C2×Q8—84no—
430C2×Q8—816no—
431C2×Q8C22×Q814yes—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—28no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
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—216no—
467C22×C4—22no—
468C22×C4—22no—
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—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—84no—
488C22×C4—84no—
489C22×C4—816no—
490C22×C4#12014yes—
491C22×C4#12014yes—
492C22×C4C22⋊Q814yes—
493C22×C4C22⋊Q818yes—
494C22×C4C22×D412yes—
495C22×C4C22×D412yes—
496C22×C4C22×D412yes—
497C22×C4C22×D412yes—
498C22×C4C22×D412yes—
499C22×C4C22×D411yescharacteristic
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×Q814yes—
503C22×C4C22×Q812yes—
504C22×C4C2×#4114yes—
505C22×C4C2×#4112yes—
506C22×C42−1+412yes—
507C22×C42−1+412yes—
508C22×C4C2511yescharacteristic
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—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—44no—
522C2×C8—44no—
523C2×C8—44no—
524C2×C8—44no—
525C4⋊C4—216no—
526C4⋊C4—216no—
527C4⋊C4—216no—
528C4⋊C4—216no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—216no—
532C4⋊C4—216no—
533C4⋊C4—216no—
534C4⋊C4—28no—
535C4⋊C4—24no—
536C4⋊C4—28no—
537C4⋊C4—24no—
538C4⋊C4—216no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—42no—
550C4⋊C4—48no—
551C4⋊C4—42no—
552C4⋊C4—84no—
553C4⋊C4C22×D414yes—
554C4⋊C4C22×D414yes—
555C4⋊C4C22×D414yes—
556C4⋊C4C22×D414yes—
557C4⋊C4C22×Q814yes—
558C22⋊C4—216no—
559C22⋊C4—216no—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—84no—
563C42—216no—
564C42—24no—
565C42—22no—
566C42—22no—
567C42—48no—
568C42—84no—
569C42#12018yes—
570C42C22×D414yes—
571C42C22×D414yes—
572C23—28no—
573C23—28no—
574C23—22no—
575C23—28no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23C2×#12012yes—
586C23C2×C22⋊Q814yes—
587C23C2×C22⋊Q812yes—
588C23#53612yes—
589C23#57712yes—
590C23#57712yes—
591C23#57712yes—
592C23#57812yes—
593C23C23×D411yescharacteristic
594Q8—24no—
595Q8—24no—
596Q8—48no—
597Q8—42no—
598Q8—42no—
599Q8—816no—
600Q8—816no—
601C2×C4—22no—
602C2×C4—28no—
603C2×C4—22no—
604C2×C4—28no—
605C2×C4—28no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—216no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—48no—
628C2×C4—42no—
629C2×C4—48no—
630C2×C4—42no—
631C2×C4—44no—
632C2×C4—48no—
633C2×C4—48no—
634C2×C4—48no—
635C2×C4—44no—
636C2×C4—48no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
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—816no—
654C2×C4—84no—
655C2×C4—84no—
656C2×C4C2×#12014yes—
657C2×C4C2×#12014yes—
658C2×C4C2×#12012yes—
659C2×C4C2×C22⋊Q814yes—
660C2×C4C2×C22⋊Q812yes—
661C2×C4#53612yes—
662C2×C4#54814yes—
663C2×C4#54814yes—
664C2×C4D4×Q814yes—
665C2×C4D4×Q814yes—
666C2×C4C23×D411yescharacteristic
667C2×C4C23×D411yescharacteristic
668C2×C4C23×Q811yescharacteristic
669C2×C4C22×#4111yescharacteristic
670C2×C4C2×2−1+411yescharacteristic
671C2×C4C2×2−1+411yescharacteristic
672C8—42no—
673C8—42no—
674C8—42no—
675C8—42no—
676C22—24no—
677C22—24no—
678C22—24no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—416no—
684C22#240914yes—
685C22#300914yes—
686C22#301314yes—
687C22#308214yes—
688C22#308414yes—
689C22#324214yes—
690C22#324414yes—
691C22C22×#12011yescharacteristic
692C22C22×C22⋊Q811yescharacteristic
693C22C2×#53611yescharacteristic
694C22C2×#57711yescharacteristic
695C22C2×#57711yescharacteristic
696C22C2×#57711yescharacteristic
697C22C2×#57811yescharacteristic
698C4—24no—
699C4—24no—
700C4—24no—
701C4—44no—
702C4—44no—
703C4—42no—
704C4—44no—
705C4—44no—
706C4—44no—
707C4—42no—
708C4—44no—
709C4—82no—
710C4—82no—
711C4#240914yes—
712C4C2×#54811yescharacteristic
713C4C2×#54811yescharacteristic
714C4C2×D4×Q811yescharacteristic
715C4C2×D4×Q811yescharacteristic
716C2—44no—
717C2#2431018yesdirect product factor
718C2C2×#240911yescharacteristic
719C2C2×#300911yescharacteristic
720C2C2×#301311yescharacteristic
721C2C2×#308211yescharacteristic
722C2C2×#308411yescharacteristic
723C2C2×#324211yescharacteristic
724C2C2×#324411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#479C2semidirect
3. C22×#475C2semidirect
5. #24310C2direct (N × H)
6. C2×#2059C2semidirect
7. C2×#2058C2semidirect
8. C2×#2026C2semidirect
9. C2×#2024C2semidirect
10. C2×#1989C2semidirect
11. C2×#1987C2semidirect
35. C2×#479C22semidirect
37. C2×#475C22semidirect
60. #2059C22semidirect
61. #2058C22semidirect
62. #2026C22semidirect
63. #2024C22semidirect
64. #1989C22semidirect
65. #1987C22semidirect
119. C2×C22⋊Q8Q8semidirect
296. C22⋊Q8C2×Q8semidirect
717. C2#24310direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5442
C22×#4792
C22×#4752
C2×#23232
#243102
C2×#20592
C2×#20582
C2×#20262
C2×#20242
C2×#19892
C2×#19872
C2×#18732
C2×#18722
C2×#18542
C2×#18532
C2×#17982