Finite Group Databasebeta

← C2×#26178 #6438412

Subgroups — C2×#26178 #6438412

Order 512.

2926 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
1C22×#459C211yesmaximal, characteristic
2C22×#442C211yesmaximal, characteristic, complemented
3C2×#2445C211yesmaximal, characteristic, complemented
4C2×#2349C211yesmaximal, characteristic, complemented
5#26178C2116yesmaximal, direct product factor
6C2×#2092C211yesmaximal, characteristic, complemented
7C2×#2088C211yesmaximal, characteristic, complemented
8C2×#2073C211yesmaximal, characteristic, complemented
9C2×#2041C211yesmaximal, characteristic, complemented
10C2×#1936C211yesmaximal, characteristic, complemented
11C2×#1917C211yesmaximal, characteristic, complemented
12C2×#1879C211yesmaximal, characteristic, complemented
13C2×#1879C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1862C211yesmaximal, characteristic, complemented
16C2×#1862C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×#127C2211yescharacteristic
20C22×#123—21no—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C2×#459—28no—
26C2×#459C2218yes—
27C2×#442—28no—
28C2×#442C2218yescomplemented
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#97C2211yescharacteristic
41#2445—24no—
42#2445C2218yescomplemented
43C2×#394—21no—
44C2×#394—21no—
45#2349—24no—
46#2349C2218yescomplemented
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#386—21no—
54C2×#385—21no—
55C2×#385—21no—
56C2×#382C2211yescharacteristic
57C2×#380—21no—
58C2×C4×C4⋊C4C2211yescharacteristic
59C22×#95—21no—
60#2092C2218yescomplemented
61#2088C2218yescomplemented
62#2073C2218yescomplemented
63#2041C2218yescomplemented
64#1936C2218yescomplemented
65#1917C2218yescomplemented
66#1879C2218yescomplemented
67#1879C2218yescomplemented
68#1879C2218yescomplemented
69#1862C2218yescomplemented
70#1862C2218yescomplemented
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×D4—21no—
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4—21no—
86C24×C4—21no—
87C24×C4—21no—
88C22×D8—24no—
89C22×D8—24no—
90C22×D8—24no—
91C22×D8—24no—
92C22×D8—24no—
93C22×D8D418yes—
94C22×D8C2314yes—
95C22×D8C2314yes—
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C2×#127—24no—
101C2×#127—22no—
102C2×#127—42no—
103C2×#127C2314yes—
104C2×#123—28no—
105C2×#123—48no—
106C2×C4×D4—24no—
107C2×C4×D4—24no—
108C2×C4×D4—24no—
109C2×C4×D4—24no—
110C2×C4×D4—24no—
111C2×C4×D4—22no—
112C2×C4×D4—22no—
113C2×C4×D4—22no—
114C2×C4×D4—22no—
115C2×C4×D4—42no—
116C2×C4×D4—42no—
117C2×C4×D4—42no—
118C2×C4×D4C2314yes—
119C2×C4×D4C2314yes—
120C2×C4×D4C2314yes—
121C2×C4×D4C2314yes—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4D411yescharacteristic
126C22×C4⋊C4D411yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#459—232no—
146#442—232no—
147C2×#107—42no—
148C2×#107C2314yes—
149C2×#106—24no—
150C2×#106C2314yes—
151C2×C4⋊C8—24no—
152C2×C4⋊C8C2314yes—
153C2×#102—24no—
154C2×#102—24no—
155C2×#102—24no—
156C2×#102—24no—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—42no—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#97—24no—
170C2×#97C2314yes—
171#394—28no—
172#394—28no—
173#390—22no—
174#390—22no—
175#390—22no—
176#390C2314yes—
177#390C2314yes—
178#390C2314yes—
179#389—22no—
180#389—22no—
181#389—22no—
182#389C2314yes—
183#389C2314yes—
184#389C2314yes—
185#386—28no—
186#385—28no—
187#385—28no—
188#382—22no—
189#382C2314yes—
190#380—28no—
191C4×C4⋊C4D414yes—
192C4×C4⋊C4C2314yes—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—28no—
199C2×#95D411yescharacteristic
200C2×#95D411yescharacteristic
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#336C2314yes—
206#336C2314yes—
207#336C2314yes—
208#336C2314yes—
209C25—21no—
210C25—21no—
211C25—21no—
212C22×D4—21no—
213C22×D4—21no—
214C22×D4—22no—
215C22×D4—21no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—44no—
232C22×D4—44no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—82no—
236C22×D4—82no—
237C22×D4C2×D414yes—
238C22×D4C2×D414yes—
239C22×D4#4114yes—
240C22×D4#4114yes—
241C22×D4C2412yes—
242C22×D4C2412yes—
243C22×D4C2412yes—
244C23×C4—21no—
245C23×C4—28no—
246C23×C4—24no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—24no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4—44no—
259C23×C4—44no—
260C23×C4—82no—
261C23×C4—82no—
262C23×C4—82no—
263C23×C4—82no—
264C23×C4—82no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2411yescharacteristic
272C2×D8—232no—
273C2×D8—28no—
274C2×D8—28no—
275C2×D8—28no—
276C2×D8—28no—
277C2×D8—28no—
278C2×D8—416no—
279C2×D8C2×D4116yes—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8C2×D414yes—
292C22×C8C2412yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296#127—28no—
297#127—44no—
298#127—48no—
299#123—432no—
300C4×D4—216no—
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—28no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—44no—
307C4×D4—44no—
308C4×D4—44no—
309C4×D4—48no—
310C4×D4—48no—
311C4×D4—48no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—82no—
333C2×C4⋊C4—82no—
334C2×C4⋊C4C2×D414yes—
335C2×C4⋊C4C2×D414yes—
336C2×C4⋊C4#4114yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—82no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4—82no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42C2×D412yes—
369C2×C42C2×D412yes—
370C2×C42C2×D412yes—
371C2×C42C2412yes—
372C2×C42C2412yes—
373C2×C42C2412yes—
374#107—44no—
375#106—28no—
376C4⋊C8—28no—
377#102—28no—
378#102—28no—
379#102—28no—
380#102—28no—
381#102—28no—
382#102—28no—
383#102—28no—
384#102—44no—
385#97—28no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95C2×D414yes—
392#95C2×D414yes—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—22no—
397C24—24no—
398C24—22no—
399C24—22no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24C22×D411yescharacteristic
418C2×D4—28no—
419C2×D4—24no—
420C2×D4—28no—
421C2×D4—24no—
422C2×D4—24no—
423C2×D4—28no—
424C2×D4—28no—
425C2×D4—24no—
426C2×D4—28no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—48no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—44no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—42no—
450C2×D4—44no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—48no—
456C2×D4—84no—
457C2×D4—84no—
458C2×D4—816no—
459C2×D4—816no—
460C2×D4#123116yescomplemented
461C2×D4C22×D414yes—
462C2×D4C22×D414yes—
463C2×D4C2×#4114yes—
464C2×D4C2×#4114yes—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
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—22no—
484C22×C4—216no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—48no—
490C22×C4—48no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
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—48no—
509C22×C4—84no—
510C22×C4—84no—
511C22×C4—84no—
512C22×C4—84no—
513C22×C4—84no—
514C22×C4—816no—
515C22×C4—816no—
516C22×C4—816no—
517C22×C4—816no—
518C22×C4AGL(1,ℤ/8)14yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C2×#4112yes—
528C22×C4C2×#4112yes—
529C22×C4C2×#4112yes—
530C22×C4H(5,𝔽2)12yes—
531C22×C42−1+412yes—
532C22×C4C2511yescharacteristic
533D8—232no—
534D8—416no—
535C2×C8—28no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—44no—
548C2×C8—44no—
549C2×C8—44no—
550C2×C8C22×D414yes—
551C4⋊C4—24no—
552C4⋊C4—28no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—48no—
568C4⋊C4—84no—
569C4⋊C4—84no—
570C4⋊C4C2×#4114yes—
571C22⋊C4—216no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—84no—
579C22⋊C4—84no—
580C22⋊C4—84no—
581C42—24no—
582C42—24no—
583C42—24no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—216no—
594C23—24no—
595C23—48no—
596C23—48no—
597C23—48no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23#52512yes—
633C23D4212yes—
634C23#54812yes—
635C23C2×AGL(1,ℤ/8)12yes—
636C23#57512yes—
637C23#57612yes—
638C23#57612yes—
639C23C23×D411yescharacteristic
640D4—24no—
641D4—24no—
642D4—24no—
643D4—24no—
644D4—216no—
645D4—24no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—48no—
651D4—42no—
652D4—42no—
653D4—816no—
654D4—816no—
655D4—84no—
656D4C2×#12318yescomplemented
657C2×C4—22no—
658C2×C4—28no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—48no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—816no—
697C2×C4—816no—
698C2×C4—816no—
699C2×C4—816no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4C2×#12314yes—
705C2×C4#52512yes—
706C2×C4#53914yes—
707C2×C4D4212yes—
708C2×C4#54714yes—
709C2×C4#54812yes—
710C2×C4#55314yes—
711C2×C4C2×AGL(1,ℤ/8)14yes—
712C2×C4C23×D411yescharacteristic
713C2×C4C22×#4111yescharacteristic
714C2×C4C22×#4111yescharacteristic
715C2×C4C22×#4111yescharacteristic
716C2×C4C2×H(5,𝔽2)11yescharacteristic
717C2×C4C2×2−1+411yescharacteristic
718C8—24no—
719C8—42no—
720C8—42no—
721C8—42no—
722C22—28no—
723C22—432no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—816no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—168no—
746C22#244314yes—
747C22#311514yes—
748C22#312214yes—
749C22#326414yes—
750C22#327314yes—
751C22#336614yes—
752C22#337014yes—
753C22C2×#52511yescharacteristic
754C22C2×D4211yescharacteristic
755C22C2×#54811yescharacteristic
756C22C22×AGL(1,ℤ/8)11yescharacteristic
757C22C2×#57511yescharacteristic
758C22C2×#57611yescharacteristic
759C22C2×#57611yescharacteristic
760C4—24no—
761C4—42no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—42no—
766C4—44no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4—82no—
771C4#244314yes—
772C4C22×#12311yescharacteristic
773C4C2×#53911yescharacteristic
774C4C2×#54711yescharacteristic
775C4C2×#55311yescharacteristic
776C2—48no—
777C2—84no—
778C2—162no—
779C2#2617818yesdirect product factor
780C2C2×#244311yescharacteristic
781C2C2×#311511yescharacteristic
782C2C2×#312211yescharacteristic
783C2C2×#326411yescharacteristic
784C2C2×#327311yescharacteristic
785C2C2×#336611yescharacteristic
786C2C2×#337011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#459C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#442C2semidirect
3. C2×#2445C2semidirect
4. C2×#2349C2semidirect
5. #26178C2direct (N × H)
6. C2×#2092C2semidirect
7. C2×#2088C2semidirect
8. C2×#2073C2semidirect
9. C2×#2041C2semidirect
10. C2×#1936C2semidirect
11. C2×#1917C2semidirect
12. C2×#1879C2semidirect
13. C2×#1879C2semidirect
14. C2×#1879C2semidirect
15. C2×#1862C2semidirect
16. C2×#1862C2semidirect
28. C2×#442C22semidirect
42. #2445C22semidirect
46. #2349C22semidirect
60. #2092C22semidirect
61. #2088C22semidirect
62. #2073C22semidirect
63. #2041C22semidirect
64. #1936C22semidirect
65. #1917C22semidirect
66. #1879C22semidirect
67. #1879C22semidirect
68. #1879C22semidirect
69. #1862C22semidirect
70. #1862C22semidirect
460. C2×D4#123semidirect
656. D4C2×#123semidirect
779. C2#26178direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4592
C22×#4422
C2×#24452
C2×#23492
#261782
C2×#20922
C2×#20882
C2×#20732
C2×#20412
C2×#19362
C2×#19172
C2×#18792
C2×#18622