Finite Group Databasebeta

← C2×#26594 #6439384

Subgroups — C2×#26594 #6439384

Order 512.

2628 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#464C211yesmaximal, characteristic, complemented
2C22×C4×SD16C211yesmaximal, characteristic, complemented
3C2×#2448C211yesmaximal, characteristic, complemented
4C2×#2367C211yesmaximal, characteristic, complemented
5#26594C2116yesmaximal, direct product factor
6C2×#2065C211yesmaximal, characteristic, complemented
7C2×#2015C211yesmaximal, characteristic, complemented
8C2×#2012C211yesmaximal, characteristic
9C2×#2012C211yesmaximal, characteristic
10C2×#1968C211yesmaximal, characteristic, complemented
11C2×#1926C211yesmaximal, characteristic, complemented
12C2×#1927C211yesmaximal, characteristic, complemented
13C2×#1916C211yesmaximal, characteristic, complemented
14C2×#1878C211yesmaximal, characteristic, complemented
15C2×#1879C211yesmaximal, characteristic
16C2×#1865C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C23×D8C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C2×#464—28no—
27C2×#464C2218yescomplemented
28C2×C4×SD16—28no—
29C2×C4×SD16C2218yescomplemented
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C4×C8C2211yescharacteristic
42#2448—24no—
43#2448C2218yescomplemented
44C2×#399—21no—
45C2×#397—21no—
46#2367—24no—
47#2367C2218yescomplemented
48C2×#391C2211yescharacteristic
49C2×#391C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#388—21no—
55C2×#388—21no—
56C2×#388—21no—
57C2×#388—21no—
58C2×#385—21no—
59C2×C4×C4⋊C4C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4—21no—
62#2065C2218yescomplemented
63#2015C2218yescomplemented
64#2012C2218yes—
65#2012C2218yes—
66#1968C2218yescomplemented
67#1927C2218yescomplemented
68#1926C2218yescomplemented
69#1916C2218yescomplemented
70#1879C2218yes—
71#1878C2218yescomplemented
72#1865C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C22×Q16—24no—
85C22×Q16—24no—
86C22×Q16—42no—
87C22×Q16C2314yes—
88C22×SD16—24no—
89C22×SD16—24no—
90C22×SD16—24no—
91C22×SD16—24no—
92C22×SD16—24no—
93C22×SD16—42no—
94C22×SD16C2314yes—
95C22×SD16C2314yes—
96C22×D8—24no—
97C22×D8—42no—
98C22×D8—42no—
99C22×D8C2314yes—
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C23×C8C2311yescharacteristic
103C23×C8C2311yescharacteristic
104C2×#124—24no—
105C2×#124—24no—
106C2×#124—24no—
107C2×#124—22no—
108C2×#124—22no—
109C2×#124—42no—
110C2×#124C2314yes—
111C2×#124C2314yes—
112C2×C4×Q8—22no—
113C2×C4×Q8—22no—
114C2×C4×Q8—24no—
115C2×C4×Q8—24no—
116C2×C4×Q8—42no—
117C2×C4×Q8—42no—
118C2×C4×Q8C2314yes—
119C2×C4×Q8C2314yes—
120C2×C4×D4—24no—
121C2×C4×D4—22no—
122C2×C4×D4—42no—
123C2×C4×D4C2314yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4D411yescharacteristic
128C22×C4⋊C4D411yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C42—21no—
145C22×C42—21no—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149C22×C42C2311yescharacteristic
150#464—232no—
151C4×SD16—232no—
152C2×#106—24no—
153C2×#106—42no—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8—24no—
157C2×C4⋊C8C2314yes—
158C2×#103—24no—
159C2×#103—42no—
160C2×#103—42no—
161C2×#103D418yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#102—24no—
167C2×#102—24no—
168C2×#102—24no—
169C2×#102—42no—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×C4×C8—24no—
175C2×C4×C8C2314yes—
176#399—28no—
177#397—28no—
178#391—22no—
179#391—22no—
180#391C2314yes—
181#391C2314yes—
182#390—22no—
183#390—22no—
184#390—22no—
185#390C2314yes—
186#390C2314yes—
187#390C2314yes—
188#389—22no—
189#389C2314yes—
190#388—28no—
191#388—28no—
192#388—28no—
193#388—28no—
194#385—28no—
195C4×C4⋊C4—22no—
196C4×C4⋊C4D414yes—
197C4×C4⋊C4C2314yes—
198C4×C4⋊C4C2314yes—
199C4×C22⋊C4—28no—
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#336C2314yes—
211#336C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8C2×D414yes—
229C22×Q8#4114yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—22no—
233C22×D4—21no—
234C22×D4—22no—
235C22×D4—21no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4#4114yes—
246C22×D4C2412yes—
247C22×D4C2412yes—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—82no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2411yescharacteristic
265C2×Q16—28no—
266C2×Q16—28no—
267C2×Q16—44no—
268C2×Q16—416no—
269C2×SD16—232no—
270C2×SD16—28no—
271C2×SD16—28no—
272C2×SD16—28no—
273C2×SD16—28no—
274C2×SD16—28no—
275C2×SD16—44no—
276C2×SD16—416no—
277C2×D8—28no—
278C2×D8—44no—
279C2×D8—44no—
280C2×D8—416no—
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×C8#4114yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297#124—216no—
298#124—28no—
299#124—28no—
300#124—28no—
301#124—44no—
302#124—48no—
303C4×Q8—28no—
304C4×Q8—28no—
305C4×Q8—44no—
306C4×Q8—44no—
307C4×Q8—48no—
308C4×Q8—48no—
309C4×D4—28no—
310C4×D4—44no—
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—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—82no—
331C2×C4⋊C4C2×D414yes—
332C2×C4⋊C4C2×D414yes—
333C2×C4⋊C4C2×D414yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—28no—
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—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—82no—
358C2×C22⋊C4—82no—
359C2×C22⋊C4—82no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—24no—
367C2×C42—24no—
368C2×C42—24no—
369C2×C42—44no—
370C2×C42—44no—
371C2×C42—82no—
372C2×C42C2×D412yes—
373C2×C42C2×D412yes—
374C2×C42C2×D412yes—
375C2×C42C2412yes—
376C2×C42C2412yes—
377C2×C42C2412yes—
378#106—28no—
379#106—44no—
380C4⋊C8—28no—
381#103—28no—
382#103—44no—
383#103—44no—
384#103C2×D4116yes—
385#102—28no—
386#102—28no—
387#102—28no—
388#102—44no—
389C4×C8—28no—
390#95—24no—
391#95—24no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95C2×D414yes—
397#95C2×D414yes—
398C24—24no—
399C24—22no—
400C24—22no—
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—
414C24C22×D411yescharacteristic
415C2×Q8—24no—
416C2×Q8—24no—
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—28no—
420C2×Q8—28no—
421C2×Q8—28no—
422C2×Q8—28no—
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—42no—
432C2×Q8—44no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8—44no—
439C2×Q8C22×D414yes—
440C2×Q8C2×#4114yes—
441C2×D4—28no—
442C2×D4—24no—
443C2×D4—28no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—44no—
456C2×D4—42no—
457C2×D4—44no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4C2×#4114yes—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
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—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—42no—
509C22×C4—48no—
510C22×C4—84no—
511C22×C4—816no—
512C22×C4#13514yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4H(5,𝔽2)12yes—
526C22×C4C2511yescharacteristic
527Q16—416no—
528SD16—232no—
529SD16—416no—
530D8—416no—
531C2×C8—28no—
532C2×C8—28no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—44no—
544C2×C8—44no—
545C2×C8C22×D414yes—
546C2×C8C2×#4114yes—
547C4⋊C4—24no—
548C4⋊C4—28no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—44no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—84no—
563C4⋊C4C22×D414yes—
564C22⋊C4—216no—
565C22⋊C4—216no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C42—24no—
576C42—24no—
577C42—24no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—48no—
585C42—48no—
586C42—84no—
587C23—24no—
588C23—48no—
589C23—48no—
590C23—42no—
591C23—42no—
592C23—48no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23#52512yes—
616C23D4212yes—
617C23#55012yes—
618C23C2×#13512yes—
619C23#57512yes—
620C23#57712yes—
621C23#57712yes—
622C23C23×D411yescharacteristic
623Q8—24no—
624Q8—24no—
625Q8—24no—
626Q8—24no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—42no—
631Q8—48no—
632Q8—48no—
633D4—24no—
634D4—24no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—48no—
642D4—84no—
643C2×C4—22no—
644C2×C4—28no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—48no—
671C2×C4—48no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—48no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—816no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4#52514yes—
692C2×C4#52512yes—
693C2×C4#53814yes—
694C2×C4D4212yes—
695C2×C4#54614yes—
696C2×C4#55012yes—
697C2×C4#55314yes—
698C2×C4C2×#13514yes—
699C2×C4C23×D411yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C22×#4111yescharacteristic
702C2×C4C22×#4111yescharacteristic
703C2×C4C2×H(5,𝔽2)11yescharacteristic
704C2×C4C2×H(5,𝔽2)11yescharacteristic
705C8—24no—
706C8—24no—
707C8—42no—
708C8—42no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—816no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—168no—
725C22#245614yes—
726C22#310214yes—
727C22#312514yes—
728C22#327114yes—
729C22#328214yes—
730C22#339414yes—
731C22#340114yes—
732C22C2×#52511yescharacteristic
733C22C2×D4211yescharacteristic
734C22C2×#55011yescharacteristic
735C22C22×#13511yescharacteristic
736C22C2×#57511yescharacteristic
737C22C2×#57711yescharacteristic
738C22C2×#57711yescharacteristic
739C4—24no—
740C4—44no—
741C4—44no—
742C4—42no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—44no—
747C4—42no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4#245614yes—
752C4C2×#52511yescharacteristic
753C4C2×#53811yescharacteristic
754C4C2×#54611yescharacteristic
755C4C2×#55311yescharacteristic
756C2—84no—
757C2—162no—
758C2#2659418yesdirect product factor
759C2C2×#245611yescharacteristic
760C2C2×#310211yescharacteristic
761C2C2×#312511yescharacteristic
762C2C2×#327111yescharacteristic
763C2C2×#328211yescharacteristic
764C2C2×#339411yescharacteristic
765C2C2×#340111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
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
1. C22×#464C2semidirect
2. C22×C4×SD16C2semidirect
3. C2×#2448C2semidirect
4. C2×#2367C2semidirect
5. #26594C2direct (N × H)
6. C2×#2065C2semidirect
7. C2×#2015C2semidirect
10. C2×#1968C2semidirect
11. C2×#1926C2semidirect
12. C2×#1927C2semidirect
13. C2×#1916C2semidirect
14. C2×#1878C2semidirect
16. C2×#1865C2semidirect
27. C2×#464C22semidirect
29. C2×C4×SD16C22semidirect
43. #2448C22semidirect
47. #2367C22semidirect
62. #2065C22semidirect
63. #2015C22semidirect
66. #1968C22semidirect
67. #1927C22semidirect
68. #1926C22semidirect
69. #1916C22semidirect
71. #1878C22semidirect
72. #1865C22semidirect
758. C2#26594direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4642
C22×C4×SD162
C2×#24482
C2×#23672
#265942
C2×#20652
C2×#20152
C2×#20122
C2×#19682
C2×#19262
C2×#19272
C2×#19162
C2×#18782
C2×#18792
C2×#18652