Finite Group Databasebeta

← C2×#26720 #6441124

Subgroups — C2×#26720 #6441124

Order 512.

2672 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2491C211yesmaximal, characteristic, complemented
2C2×#2361C211yesmaximal, characteristic, complemented
3#26720C2116yesmaximal, direct product factor
4C2×#2054C211yesmaximal, characteristic, complemented
5C2×#2033C211yesmaximal, characteristic, complemented
6C2×#2023C211yesmaximal, characteristic, complemented
7C2×#1999C211yesmaximal, characteristic
8C2×#1988C211yesmaximal, characteristic, complemented
9C2×#1934C211yesmaximal, characteristic, complemented
10C2×#1925C211yesmaximal, characteristic, complemented
11C2×#1923C211yesmaximal, characteristic, complemented
12C2×#1918C211yesmaximal, characteristic, complemented
13C2×#1879C211yesmaximal, characteristic, complemented
14C2×#1874C211yesmaximal, characteristic, complemented
15C2×#1823C211yesmaximal, characteristic, complemented
16C2×C4×#102C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C22×C4⋊Q8C2211yescharacteristic
19C22×#124—21no—
20C22×#121C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×C4×D4—21no—
23C22×C4×D4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C22×#107C2211yescharacteristic
26C22×C4⋊C8C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34C22×C22⋊C8C2211yescharacteristic
35C22×C4×C8C2211yescharacteristic
36#2491—24no—
37#2491C2218yescomplemented
38C2×#394—21no—
39C2×#393—21no—
40#2361—24no—
41#2361C2218yescomplemented
42C2×#390C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#389C2211yescharacteristic
46C2×#388—21no—
47C2×#388—21no—
48C2×#386—21no—
49C2×#385—21no—
50C2×#380C2211yescharacteristic
51C2×C4×C4⋊C4C2211yescharacteristic
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2211yescharacteristic
54#2054C2218yescomplemented
55#2033C2218yescomplemented
56#2023C2218yescomplemented
57#1999C2218yes—
58#1988C2218yescomplemented
59#1934C2218yescomplemented
60#1925C2218yescomplemented
61#1923C2218yescomplemented
62#1918C2218yescomplemented
63#1879C2218yescomplemented
64#1874C2218yescomplemented
65#1823C2218yescomplemented
66C4×#102C2218yescomplemented
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8—21no—
78C23×D4—21no—
79C23×D4—21no—
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4—21no—
84C24×C4C2311yescharacteristic
85C22×D8—24no—
86C22×D8—42no—
87C22×D8—42no—
88C22×D8C2314yes—
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C2×C4⋊Q8—24no—
94C2×C4⋊Q8—22no—
95C2×C4⋊Q8—42no—
96C2×C4⋊Q8C2314yes—
97C2×#124—28no—
98C2×#124—48no—
99C2×#121—24no—
100C2×#121—22no—
101C2×#121—22no—
102C2×#121—24no—
103C2×#121—24no—
104C2×#121—42no—
105C2×#121C2314yes—
106C2×#121C2314yes—
107C2×C4×D4—28no—
108C2×C4×D4—24no—
109C2×C4×D4—22no—
110C2×C4×D4—42no—
111C2×C4×D4—48no—
112C2×C4×D4C2314yes—
113C22×C4⋊C4—24no—
114C22×C4⋊C4—22no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—42no—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
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×C42—21no—
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C2×#107—24no—
143C2×#107C2314yes—
144C2×C4⋊C8—42no—
145C2×C4⋊C8C2314yes—
146C2×#102—24no—
147C2×#102—24no—
148C2×#102—24no—
149C2×#102—24no—
150C2×#102—42no—
151C2×#102—42no—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×C22⋊C8—42no—
159C2×C22⋊C8—42no—
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162C2×C4×C8—42no—
163C2×C4×C8C2314yes—
164#394—28no—
165#393—28no—
166#390—22no—
167#390—22no—
168#390—22no—
169#390C2314yes—
170#390C2314yes—
171#390C2314yes—
172#389—22no—
173#389C2314yes—
174#388—28no—
175#388—28no—
176#386—28no—
177#385—28no—
178#380—22no—
179#380C2314yes—
180C4×C4⋊C4—22no—
181C4×C4⋊C4—22no—
182C4×C4⋊C4C2314yes—
183C4×C4⋊C4C2314yes—
184C4×C22⋊C4D414yes—
185C4×C22⋊C4C2314yes—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95—21no—
190C2×#95D411yescharacteristic
191C2×#95D411yescharacteristic
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#340C2314yes—
200#336C2314yes—
201#336C2314yes—
202C25—21no—
203C25—21no—
204C25C2×D411yescharacteristic
205C22×Q8—24no—
206C22×Q8—44no—
207C22×Q8—44no—
208C22×Q8—82no—
209C22×D4—28no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—21no—
213C22×D4—21no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—82no—
230C22×D4#4114yes—
231C22×D4C2412yes—
232C22×D4C2412yes—
233C23×C4—21no—
234C23×C4—21no—
235C23×C4—21no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—82no—
252C23×C4—82no—
253C23×C4C2×D412yes—
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2412yes—
260C23×C4C2411yescharacteristic
261C2×D8—28no—
262C2×D8—44no—
263C2×D8—44no—
264C2×D8—416no—
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×C8—22no—
276C22×C8—22no—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22×C8C2412yes—
281C4⋊Q8—28no—
282C4⋊Q8—44no—
283C4⋊Q8—48no—
284#124—432no—
285#121—216no—
286#121—28no—
287#121—28no—
288#121—28no—
289#121—44no—
290#121—48no—
291C4×D4—28no—
292C4×D4—44no—
293C4×D4—48no—
294C4×D4—432no—
295C2×C4⋊C4—21no—
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—28no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—48no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4#4114yes—
320C2×C4⋊C4#4114yes—
321C2×C4⋊C4#4114yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C4⋊C4C2412yes—
326C2×C4⋊C4C2412yes—
327C2×C4⋊C4C2412yes—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—82no—
348C2×C22⋊C4—82no—
349C2×C22⋊C4D818yescomplemented
350C2×C22⋊C4C2×D414yes—
351C2×C22⋊C4C2×D414yes—
352C2×C42—22no—
353C2×C42—22no—
354C2×C42—22no—
355C2×C42—22no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—44no—
359C2×C42—44no—
360C2×C42C2×D412yes—
361C2×C42C2×D412yes—
362C2×C42C2412yes—
363C2×C42C2412yes—
364#107—28no—
365C4⋊C8—44no—
366#102—28no—
367#102—28no—
368#102—28no—
369#102—28no—
370#102—44no—
371#102—44no—
372C22⋊C8—44no—
373C22⋊C8—44no—
374C4×C8—44no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95C2×D414yes—
380#95C2×D414yes—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—24no—
388C24—22no—
389C24—22no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24C2×D814yes—
404C24C22×D412yes—
405C24C22×D411yescharacteristic
406C2×Q8—48no—
407C2×Q8—48no—
408C2×Q8—84no—
409C2×Q8—816no—
410C2×D4—216no—
411C2×D4—24no—
412C2×D4—28no—
413C2×D4—28no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—48no—
426C2×D4—432no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—42no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—84no—
442C2×D4—816no—
443C2×D4C2×#4114yes—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—48no—
476C22×C4—48no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—48no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—48no—
498C22×C4—84no—
499C22×C4—816no—
500C22×C4—84no—
501C22×C4—816no—
502C22×C4C2×D814yes—
503C22×C4C2×D814yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D411yescharacteristic
510C22×C4C2×#4112yes—
511C22×C4C2×#4112yes—
512C22×C4C2×#4112yes—
513C22×C4C2×#4112yes—
514C22×C4H(5,𝔽2)12yes—
515C22×C4H(5,𝔽2)12yes—
516C22×C4C2511yescharacteristic
517D8—416no—
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—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—44no—
531C2×C8—44no—
532C2×C8—44no—
533C2×C8—44no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—48no—
552C4⋊C4C2×#4114yes—
553C4⋊C4C2×#4114yes—
554C4⋊C4C2×#4114yes—
555C22⋊C4—216no—
556C22⋊C4—44no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C22⋊C4C2×D8116yescomplemented
567C42—24no—
568C42—24no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—48no—
574C42—48no—
575C23—28no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—28no—
580C23—28no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—24no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—48no—
590C23—48no—
591C23—42no—
592C23—42no—
593C23—48no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23#52512yes—
617C23#54612yes—
618C23#54612yes—
619C23C22×D814yes—
620C23C22×D812yes—
621C23#57512yes—
622C23#57712yes—
623C23#57712yes—
624C23C23×D411yescharacteristic
625Q8—816no—
626D4—24no—
627D4—24no—
628D4—432no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—48no—
636D4—816no—
637D4—84no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—28no—
641C2×C4—28no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—48no—
657C2×C4—44no—
658C2×C4—48no—
659C2×C4—48no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—48no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—816no—
683C2×C4—816no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4#52512yes—
688C2×C4#52914yes—
689C2×C4#53814yes—
690C2×C4#54612yes—
691C2×C4#54612yes—
692C2×C4#55514yes—
693C2×C4#55914yes—
694C2×C4C22×D814yes—
695C2×C4C22×D814yes—
696C2×C4C22×#4111yescharacteristic
697C2×C4C22×#4111yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C2×H(5,𝔽2)11yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C8—42no—
703C8—42no—
704C8—42no—
705C8—42no—
706C22—24no—
707C22—24no—
708C22—24no—
709C22—416no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—816no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—168no—
730C22#245914yes—
731C22#310014yes—
732C22#312514yes—
733C22#329414yes—
734C22#329414yes—
735C22#332114yes—
736C22#332614yes—
737C22C2×#52511yescharacteristic
738C22C2×#54611yescharacteristic
739C22C2×#54611yescharacteristic
740C22C23×D811yescharacteristic
741C22C2×#57511yescharacteristic
742C22C2×#57711yescharacteristic
743C22C2×#57711yescharacteristic
744C4—24no—
745C4—24no—
746C4—42no—
747C4—44no—
748C4—44no—
749C4—44no—
750C4—42no—
751C4—42no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4#245914yes—
756C4C2×#52911yescharacteristic
757C4C2×#53811yescharacteristic
758C4C2×#55511yescharacteristic
759C4C2×#55911yescharacteristic
760C2—44no—
761C2—84no—
762C2—162no—
763C2#2672018yesdirect product factor
764C2C2×#245911yescharacteristic
765C2C2×#310011yescharacteristic
766C2C2×#312511yescharacteristic
767C2C2×#329411yescharacteristic
768C2C2×#329411yescharacteristic
769C2C2×#332111yescharacteristic
770C2C2×#332611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#1999C2
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. C2×#2491C2semidirect
2. C2×#2361C2semidirect
3. #26720C2direct (N × H)
4. C2×#2054C2semidirect
5. C2×#2033C2semidirect
6. C2×#2023C2semidirect
8. C2×#1988C2semidirect
9. C2×#1934C2semidirect
10. C2×#1925C2semidirect
11. C2×#1923C2semidirect
12. C2×#1918C2semidirect
13. C2×#1879C2semidirect
14. C2×#1874C2semidirect
15. C2×#1823C2semidirect
16. C2×C4×#102C2semidirect
37. #2491C22semidirect
41. #2361C22semidirect
54. #2054C22semidirect
55. #2033C22semidirect
56. #2023C22semidirect
58. #1988C22semidirect
59. #1934C22semidirect
60. #1925C22semidirect
61. #1923C22semidirect
62. #1918C22semidirect
63. #1879C22semidirect
64. #1874C22semidirect
65. #1823C22semidirect
66. C4×#102C22semidirect
349. C2×C22⋊C4D8semidirect
566. C22⋊C4C2×D8semidirect
763. C2#26720direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24912
C2×#23612
#267202
C2×#20542
C2×#20332
C2×#20232
C2×#19992
C2×#19882
C2×#19342
C2×#19252
C2×#19232
C2×#19182
C2×#18792
C2×#18742
C2×#18232
C2×C4×#1022