Finite Group Databasebeta

← C2×#26403 #6439245

Subgroups — C2×#26403 #6439245

Order 512.

2049 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3084C211yesmaximal, characteristic
2C2×#3082C211yesmaximal, characteristic, complemented
3C2×#2947C211yesmaximal, characteristic
4C2×#2913C211yesmaximal, characteristic
5#26403C2116yesmaximal, direct product factor
6C2×#2097C211yesmaximal, characteristic, complemented
7C2×#2089C211yesmaximal, characteristic, complemented
8C2×#2064C211yesmaximal, characteristic, complemented
9C2×#2061C211yesmaximal, characteristic, complemented
10C2×#1951C211yesmaximal, characteristic, complemented
11C2×#1922C211yesmaximal, characteristic, complemented
12C2×#1908C211yesmaximal, characteristic
13C2×#1882C211yesmaximal, characteristic
14C2×#1866C211yesmaximal, characteristic
15C2×#1860C211yesmaximal, characteristic
16C2×#1857C211yesmaximal, characteristic, complemented
17C22×#137C2211yescharacteristic
18C22×#131C2211yescharacteristic
19C2×#544C2211yescharacteristic
20C2×#520C2211yescharacteristic
21C2×#520C2211yescharacteristic
22C2×#519C2211yescharacteristic
23#3084—24no—
24#3084C2218yes—
25#3082—24no—
26#3082C2218yescomplemented
27C2×#479—21no—
28C2×#479—21no—
29C2×#479—21no—
30C2×#477—21no—
31C2×#475—21no—
32C2×#475—21no—
33C2×#478—21no—
34C2×#476—21no—
35#2947—24no—
36#2947C2218yes—
37C2×#441—21no—
38C2×#440—21no—
39C2×C4×Q16—21no—
40C2×C4×SD16—21no—
41C22×#108C2211yescharacteristic
42#2913—24no—
43#2913C2218yes—
44C2×#428—21no—
45C2×#428—21no—
46C2×#428C2211yescharacteristic
47C2×#428C2211yescharacteristic
48C2×#428C2211yescharacteristic
49C2×#428C2211yescharacteristic
50C2×#428C2211yescharacteristic
51C2×#427—21no—
52C2×#427C2211yescharacteristic
53C22×#107—21no—
54C22×#107C2211yescharacteristic
55C22×#106C2211yescharacteristic
56C2×#424C2211yescharacteristic
57C2×#424C2211yescharacteristic
58C22×#104C2211yescharacteristic
59C2×#417C2211yescharacteristic
60C2×#419C2211yescharacteristic
61C2×#416C2211yescharacteristic
62C22×#103C2211yescharacteristic
63C22×#103C2211yescharacteristic
64C22×#101C2211yescharacteristic
65C2×#405C2211yescharacteristic
66C2×#391C2211yescharacteristic
67C2×#382C2211yescharacteristic
68#2097C2218yescomplemented
69#2089C2218yescomplemented
70#2064C2218yescomplemented
71#2061C2218yescomplemented
72#1951C2218yescomplemented
73#1922C2218yescomplemented
74#1908C2218yes—
75#1882C2218yes—
76#1866C2218yes—
77#1860C2218yes—
78#1857C2218yescomplemented
79C2×#343C2211yescharacteristic
80C2×#343C2211yescharacteristic
81C2×#343C2211yescharacteristic
82C2×#341C2211yescharacteristic
83C2×#339C2211yescharacteristic
84C2×#339C2211yescharacteristic
85C2×#339C2211yescharacteristic
86C2×#336C2211yescharacteristic
87C22×#41C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C2×#137—22no—
90C2×#137—24no—
91C2×#137Q818yescomplemented
92C2×#137C2314yes—
93C22×Q16—21no—
94C22×SD16—21no—
95C2×#131—24no—
96C2×#131—24no—
97C2×#131—22no—
98C2×#131C2314yes—
99C22×M16—21no—
100C22×M16C2311yescharacteristic
101C22×M16C2311yescharacteristic
102C22×M16C2311yescharacteristic
103C22×M16C2311yescharacteristic
104C23×C8—21no—
105C23×C8C2311yescharacteristic
106C23×C8C2311yescharacteristic
107#544—22no—
108#544—22no—
109#544—41no—
110#544C2314yes—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×#125—21no—
114C2×#125—21no—
115C2×C22⋊Q8—41no—
116#520—22no—
117#520—22no—
118#520—22no—
119#520—22no—
120#520—41no—
121#520—41no—
122#520C2314yes—
123#520C2314yes—
124#519—22no—
125#519—22no—
126#519—41no—
127#519C2314yes—
128C2×C4×Q8—21no—
129C2×C4×Q8—21no—
130C2×C4×Q8—21no—
131C2×C4×Q8—21no—
132C2×C4×Q8—21no—
133C2×C4×Q8—21no—
134C2×C4×D4—21no—
135C2×C4×D4—21no—
136C2×C4×D4—41no—
137C2×C4×D4—41no—
138C2×#117—21no—
139C2×#117—21no—
140C2×#117—41no—
141C2×#117C2311yescharacteristic
142C2×#117C2311yescharacteristic
143C2×#117C2311yescharacteristic
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4C2311yescharacteristic
147C22×C4⋊C4C2311yescharacteristic
148C22×C4⋊C4C2311yescharacteristic
149C22×C42C2311yescharacteristic
150#479—28no—
151#479—28no—
152#479—28no—
153#478—28no—
154#477—28no—
155#476—28no—
156#475—28no—
157#475—28no—
158#441—28no—
159#440—28no—
160C4×Q16—28no—
161C4×SD16—28no—
162C2×#108—24no—
163C2×#108C2314yes—
164#428—22no—
165#428—22no—
166#428—22no—
167#428—22no—
168#428—22no—
169#428—28no—
170#428—28no—
171#428C2314yes—
172#428C2314yes—
173#428C2314yes—
174#428C2314yes—
175#428C2314yes—
176#427—28no—
177#427D414yes—
178#427C2314yes—
179C2×#107—21no—
180C2×#107—21no—
181C2×#107—22no—
182C2×#107—21no—
183C2×#107—21no—
184C2×#107—21no—
185C2×#107—21no—
186C2×#107—21no—
187C2×#107—28no—
188C2×#107D411yescharacteristic
189C2×#107D411yescharacteristic
190C2×#107C2314yes—
191C2×#106—21no—
192C2×#106—21no—
193C2×#106—22no—
194C2×#106—21no—
195C2×#106—21no—
196C2×#106—21no—
197C2×#106—21no—
198C2×#106—21no—
199C2×#106D411yescharacteristic
200C2×#106D411yescharacteristic
201C2×#106C2314yes—
202#424—22no—
203#424—22no—
204#424C2314yes—
205#424C2314yes—
206C2×C4⋊C8—21no—
207C2×C4⋊C8—21no—
208C2×C4⋊C8—21no—
209C2×C4⋊C8—21no—
210C2×#104—24no—
211C2×#104C2314yes—
212#419—22no—
213#419C2314yes—
214#417—22no—
215#417C2314yes—
216#416D414yes—
217#416C2314yes—
218C2×#103—21no—
219C2×#103—21no—
220C2×#103—21no—
221C2×#103—22no—
222C2×#103—21no—
223C2×#103—21no—
224C2×#103—22no—
225C2×#103—21no—
226C2×#103—21no—
227C2×#103D411yescharacteristic
228C2×#103D411yescharacteristic
229C2×#103C2314yes—
230C2×#103C2314yes—
231C2×#102—21no—
232C2×#102D411yescharacteristic
233C2×#102D411yescharacteristic
234C2×#101—24no—
235C2×#101C2314yes—
236#405—22no—
237#405C2314yes—
238C2×#97—21no—
239C2×C4×C8—21no—
240#391—41no—
241#391C2314yes—
242#382—41no—
243#382C2314yes—
244C2×#95—41no—
245C2×#95—41no—
246#343C2314yes—
247#343C2314yes—
248#343C2314yes—
249#341C2314yes—
250#339C2314yes—
251#339C2314yes—
252#339C2314yes—
253#336C2314yes—
254C2×#41—21no—
255C2×#41—22no—
256C2×#41—21no—
257C2×#41—22no—
258C2×#41C2×D412yes—
259C2×#41C2×Q814yes—
260C2×#41#4114yes—
261C2×#41C2412yes—
262C22×Q8—22no—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8—21no—
266C22×Q8—21no—
267C22×Q8—21no—
268C22×Q8—22no—
269C22×Q8—22no—
270C22×Q8—41no—
271C22×Q8C2×D411yescharacteristic
272C22×Q8C2×Q814yes—
273C22×Q8C2412yes—
274C22×D4—21no—
275C22×D4C2×D411yescharacteristic
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—41no—
283C23×C4—41no—
284C23×C4C2411yescharacteristic
285#137—216no—
286#137—28no—
287#137C2×Q8116yescomplemented
288C2×Q16—28no—
289C2×Q16—24no—
290C2×SD16—28no—
291C2×SD16—24no—
292#131—216no—
293#131—28no—
294#131—28no—
295C2×M16—28no—
296C2×M16—21no—
297C2×M16—21no—
298C2×M16—22no—
299C2×M16—22no—
300C2×M16—21no—
301C2×M16—21no—
302C2×M16—24no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16C2×Q814yes—
308C2×M16#4114yes—
309C2×M16C2412yes—
310C2×M16C2412yes—
311C2×M16C2412yes—
312C2×M16C2412yes—
313C22×C8—28no—
314C22×C8—21no—
315C22×C8—21no—
316C22×C8—22no—
317C22×C8—22no—
318C22×C8—22no—
319C22×C8—22no—
320C22×C8—24no—
321C22×C8—21no—
322C22×C8—21no—
323C22×C8C2×D411yescharacteristic
324C22×C8C2×D411yescharacteristic
325C22×C8C2×D412yes—
326C22×C8C2×D411yescharacteristic
327C22×C8C2×D411yescharacteristic
328C22×C8C2×D412yes—
329C22×C8C2412yes—
330C22×C8C2412yes—
331C4⋊Q8—24no—
332C4⋊Q8—24no—
333C4⋊Q8—42no—
334C4⋊Q8—42no—
335#125—24no—
336#125—24no—
337#125—42no—
338#125—42no—
339C22⋊Q8—44no—
340C22⋊Q8—44no—
341C4×Q8—24no—
342C4×Q8—24no—
343C4×Q8—24no—
344C4×Q8—24no—
345C4×Q8—24no—
346C4×Q8—24no—
347C4×Q8—42no—
348C4×Q8—42no—
349C4×Q8—42no—
350C4×Q8—42no—
351C4×Q8—42no—
352C4×Q8—42no—
353C4×D4—24no—
354C4×D4—24no—
355C4×D4—42no—
356C4×D4—42no—
357C4×D4—44no—
358C4×D4—44no—
359C4×D4—44no—
360C4×D4—44no—
361#117—21no—
362#117—21no—
363#117—21no—
364#117—21no—
365#117—21no—
366#117—21no—
367#117—24no—
368#117—24no—
369#117—44no—
370#117—44no—
371#117—42no—
372#117—42no—
373#117C2×D412yes—
374#117C2×D412yes—
375#117C2×D412yes—
376#117C2412yes—
377#117C2412yes—
378#117C2412yes—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—24no—
392C2×C4⋊C4—24no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—42no—
397C2×C4⋊C4—42no—
398C2×C4⋊C4—41no—
399C2×C4⋊C4—41no—
400C2×C4⋊C4—41no—
401C2×C4⋊C4—41no—
402C2×C4⋊C4—41no—
403C2×C4⋊C4—41no—
404C2×C4⋊C4—41no—
405C2×C4⋊C4C2×D411yescharacteristic
406C2×C4⋊C4C2×D411yescharacteristic
407C2×C4⋊C4C2×D411yescharacteristic
408C2×C4⋊C4C2×D411yescharacteristic
409C2×C4⋊C4C2×D411yescharacteristic
410C2×C4⋊C4C2×D411yescharacteristic
411C2×C4⋊C4C2412yes—
412C2×C4⋊C4C2412yes—
413C2×C4⋊C4C2412yes—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—41no—
418C2×C22⋊C4—41no—
419C2×C42—21no—
420C2×C42—21no—
421C2×C42—21no—
422C2×C42—22no—
423C2×C42—22no—
424C2×C42—21no—
425C2×C42—41no—
426C2×C42—41no—
427C2×C42—41no—
428C2×C42—41no—
429C2×C42C2412yes—
430#108—28no—
431#107—24no—
432#107—24no—
433#107—24no—
434#107—24no—
435#107—24no—
436#107—24no—
437#107—24no—
438#107C2×D414yes—
439#107C2×D414yes—
440#106—24no—
441#106—24no—
442#106—24no—
443#106—24no—
444#106—24no—
445#106—24no—
446#106—24no—
447#106C2×D414yes—
448#106C2×D414yes—
449C4⋊C8—24no—
450C4⋊C8—24no—
451C4⋊C8—24no—
452C4⋊C8—24no—
453#104—28no—
454#103—24no—
455#103—24no—
456#103—24no—
457#103—24no—
458#103—24no—
459#103—24no—
460#103—24no—
461#103C2×D414yes—
462#103C2×D414yes—
463#102—24no—
464#102C2×D414yes—
465#102C2×D414yes—
466#101—28no—
467#97—24no—
468C4×C8—24no—
469#95—44no—
470#95—44no—
471C24—21no—
472C24H(5,𝔽2)11yescharacteristic
473#41—24no—
474#41—24no—
475#41—24no—
476#41—24no—
477#41—24no—
478#41—22no—
479#41—22no—
480#41C22⋊Q818yes—
481#41C22×Q814yes—
482#41C2×#4114yes—
483C2×Q8—21no—
484C2×Q8—22no—
485C2×Q8—24no—
486C2×Q8—22no—
487C2×Q8—24no—
488C2×Q8—24no—
489C2×Q8—24no—
490C2×Q8—24no—
491C2×Q8—22no—
492C2×Q8—22no—
493C2×Q8—22no—
494C2×Q8—22no—
495C2×Q8—44no—
496C2×Q8—42no—
497C2×Q8—42no—
498C2×Q8—42no—
499C2×Q8—41no—
500C2×Q8—41no—
501C2×Q8—42no—
502C2×Q8—42no—
503C2×Q8—162no—
504C2×Q8C22⋊Q814yes—
505C2×Q8C22×D412yes—
506C2×Q8C22×Q814yes—
507C2×D4—24no—
508C2×D4—22no—
509C2×D4—24no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4C22⋊Q814yes—
514C2×D4C22×D412yes—
515C22×C4—21no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—24no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—42no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—41no—
543C22×C4—41no—
544C22×C4—41no—
545C22×C4—41no—
546C22×C4—82no—
547C22×C4—82no—
548C22×C4—82no—
549C22×C4—162no—
550C22×C4—162no—
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×Q812yes—
556C22×C4C2×#4112yes—
557C22×C4C2×#4112yes—
558C22×C4H(5,𝔽2)11yescharacteristic
559C22×C42−1+412yes—
560C22×C4C2511yescharacteristic
561Q16—216no—
562SD16—216no—
563M16—216no—
564M16—24no—
565M16—24no—
566M16—22no—
567M16—22no—
568M16—22no—
569M16—22no—
570M16—22no—
571M16—22no—
572M16—42no—
573M16—42no—
574M16C22×Q814yes—
575M16C2×#4114yes—
576C2×C8—216no—
577C2×C8—24no—
578C2×C8—22no—
579C2×C8—24no—
580C2×C8—22no—
581C2×C8—24no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—24no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—42no—
594C2×C8—42no—
595C2×C8C22×D412yes—
596C2×C8C22×D412yes—
597C2×C8C22×D412yes—
598C2×C8C22×D412yes—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—22no—
606C4⋊C4—22no—
607C4⋊C4—22no—
608C4⋊C4—22no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—44no—
612C4⋊C4—44no—
613C4⋊C4—44no—
614C4⋊C4—44no—
615C4⋊C4—44no—
616C4⋊C4—44no—
617C4⋊C4—44no—
618C4⋊C4—41no—
619C4⋊C4—41no—
620C4⋊C4—41no—
621C4⋊C4—41no—
622C4⋊C4—41no—
623C4⋊C4—41no—
624C4⋊C4C22×D412yes—
625C4⋊C4C22×D412yes—
626C4⋊C4C22×D412yes—
627C4⋊C4C22×D412yes—
628C4⋊C4C22×D412yes—
629C4⋊C4C22×D412yes—
630C22⋊C4—22no—
631C22⋊C4—22no—
632C22⋊C4—22no—
633C22⋊C4—22no—
634C22⋊C4—22no—
635C22⋊C4—22no—
636C22⋊C4—44no—
637C22⋊C4—44no—
638C42—22no—
639C42—22no—
640C42—22no—
641C42—22no—
642C42—22no—
643C42—22no—
644C42—22no—
645C42—22no—
646C42—44no—
647C42—44no—
648C42—44no—
649C42—44no—
650C42—42no—
651C23—22no—
652C23—22no—
653C23—22no—
654C23—24no—
655C23—42no—
656C23—42no—
657C23#53912yes—
658C23D4211yescharacteristic
659C23D4211yescharacteristic
660C23#55412yes—
661C23C2×H(5,𝔽2)11yescharacteristic
662Q8—22no—
663Q8—24no—
664Q8—24no—
665Q8—24no—
666Q8—42no—
667Q8—42no—
668Q8—44no—
669Q8—44no—
670Q8—164no—
671Q8C2×C22⋊Q814yes—
672D4—24no—
673D4—24no—
674D4—28no—
675D4—22no—
676D4—24no—
677D4C2×C22⋊Q814yes—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—28no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—24no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—84no—
707C2×C4—82no—
708C2×C4—82no—
709C2×C4—82no—
710C2×C4—82no—
711C2×C4—82no—
712C2×C4—82no—
713C2×C4—164no—
714C2×C4—164no—
715C2×C4—161no—
716C2×C4—161no—
717C2×C4—161no—
718C2×C4C2×C22⋊Q812yes—
719C2×C4C2×C22⋊Q812yes—
720C2×C4#52512yes—
721C2×C4#52512yes—
722C2×C4#53912yes—
723C2×C4D4211yescharacteristic
724C2×C4D4211yescharacteristic
725C2×C4#54712yes—
726C2×C4#54712yes—
727C2×C4D4×Q812yes—
728C2×C4D4×Q812yes—
729C2×C4#55412yes—
730C2×C4C23×D411yescharacteristic
731C2×C4C23×D411yescharacteristic
732C2×C4C23×Q811yescharacteristic
733C2×C4C22×#4111yescharacteristic
734C2×C4C22×#4111yescharacteristic
735C2×C4C2×2−1+411yescharacteristic
736C8—24no—
737C8—22no—
738C8—24no—
739C8—22no—
740C8—22no—
741C8—22no—
742C8—42no—
743C8—42no—
744C22—24no—
745C22—24no—
746C22—21no—
747C22—21no—
748C22—21no—
749C22—21no—
750C22—24no—
751C22—48no—
752C22—42no—
753C22—42no—
754C22#244912yes—
755C22#244912yes—
756C22#328912yes—
757C22#329012yes—
758C22C2×#53911yescharacteristic
759C22C2×D4211yescharacteristic
760C22C2×#55411yescharacteristic
761C4—24no—
762C4—44no—
763C4—42no—
764C4—42no—
765C4—42no—
766C4—42no—
767C4—42no—
768C4—42no—
769C4—82no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4#244912yes—
774C4#244912yes—
775C4C22×C22⋊Q811yescharacteristic
776C4C2×#52511yescharacteristic
777C4C2×#54711yescharacteristic
778C4C2×D4×Q811yescharacteristic
779C2—21no—
780C2—21no—
781C2—22no—
782C2—44no—
783C2#2640314yesdirect product factor
784C2C2×#244911yescharacteristic
785C2C2×#328911yescharacteristic
786C2C2×#329011yescharacteristic
subgroupG/H
center, socleC23D42
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3082C2semidirect
5. #26403C2direct (N × H)
6. C2×#2097C2semidirect
7. C2×#2089C2semidirect
8. C2×#2064C2semidirect
9. C2×#2061C2semidirect
10. C2×#1951C2semidirect
11. C2×#1922C2semidirect
16. C2×#1857C2semidirect
26. #3082C22semidirect
68. #2097C22semidirect
69. #2089C22semidirect
70. #2064C22semidirect
71. #2061C22semidirect
72. #1951C22semidirect
73. #1922C22semidirect
78. #1857C22semidirect
91. C2×#137Q8semidirect
287. #137C2×Q8semidirect
783. C2#26403direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#30842
C2×#30822
C2×#29472
C2×#29132
#264032
C2×#20972
C2×#20892
C2×#20642
C2×#20612
C2×#19512
C2×#19222
C2×#19082
C2×#18822
C2×#18662
C2×#18602
C2×#18572