Finite Group Databasebeta

← C2×#26546 #6439264

Subgroups — C2×#26546 #6439264

Order 512.

2938 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#480C211yesmaximal, characteristic, complemented
2C22×C4×D8C211yesmaximal, characteristic, complemented
3C2×#2422C211yesmaximal, characteristic, complemented
4C2×#2361C211yesmaximal, characteristic, complemented
5#26546C2116yesmaximal, direct product factor
6C2×#2093C211yesmaximal, characteristic, complemented
7C2×#2054C211yesmaximal, characteristic, complemented
8C2×#2033C211yesmaximal, characteristic, complemented
9C2×#1999C211yesmaximal, characteristic
10C2×#1947C211yesmaximal, characteristic, complemented
11C2×#1942C211yesmaximal, characteristic, complemented
12C2×#1925C211yesmaximal, characteristic, complemented
13C2×#1923C211yesmaximal, characteristic, complemented
14C2×#1862C211yesmaximal, characteristic, complemented
15C2×#1862C211yesmaximal, characteristic, complemented
16C2×#1852C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C22×#123—21no—
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4—21no—
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C2×#480—28no—
26C2×#480C2218yescomplemented
27C2×C4×D8—28no—
28C2×C4×D8C2218yescomplemented
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×#107C2211yescharacteristic
33C22×#107C2211yescharacteristic
34C22×C4⋊C8C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×C4×C8C2211yescharacteristic
44#2422—24no—
45#2422C2218yescomplemented
46C2×#397—21no—
47C2×#394—21no—
48#2361—24no—
49#2361C2218yescomplemented
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#388—21no—
55C2×#386—21no—
56C2×#385—21no—
57C2×#385—21no—
58C2×#384C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2093C2218yescomplemented
63#2054C2218yescomplemented
64#2033C2218yescomplemented
65#1999C2218yes—
66#1947C2218yescomplemented
67#1942C2218yescomplemented
68#1925C2218yescomplemented
69#1923C2218yescomplemented
70#1862C2218yescomplemented
71#1862C2218yescomplemented
72#1852C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×D4—21no—
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C24×C4—21no—
86C24×C4C2311yescharacteristic
87C22×D8—24no—
88C22×D8—24no—
89C22×D8—24no—
90C22×D8C2314yes—
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C2×#123—28no—
96C2×#123—48no—
97C2×#121—24no—
98C2×#121—22no—
99C2×#121—22no—
100C2×#121—24no—
101C2×#121—24no—
102C2×#121—42no—
103C2×#121C2314yes—
104C2×#121C2314yes—
105C2×C4×D4—28no—
106C2×C4×D4—24no—
107C2×C4×D4—24no—
108C2×C4×D4—22no—
109C2×C4×D4—22no—
110C2×C4×D4—42no—
111C2×C4×D4—42no—
112C2×C4×D4—48no—
113C2×C4×D4C2314yes—
114C2×C4×D4C2314yes—
115C22×C4⋊C4—24no—
116C22×C4⋊C4—22no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—42no—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2314yes—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#480—232no—
145C4×D8—232no—
146C2×#107—24no—
147C2×#107—24no—
148C2×#107—24no—
149C2×#107—24no—
150C2×#107—42no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×C4⋊C8—24no—
157C2×C4⋊C8C2314yes—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102—24no—
162C2×#102—42no—
163C2×#102D418yescomplemented
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×C22⋊C8—24no—
171C2×C22⋊C8—24no—
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C4×C8—24no—
175C2×C4×C8C2314yes—
176#397—28no—
177#394—28no—
178#390—22no—
179#390—22no—
180#390C2314yes—
181#390C2314yes—
182#389—22no—
183#389—22no—
184#389C2314yes—
185#389C2314yes—
186#388—28no—
187#386—28no—
188#385—28no—
189#385—28no—
190#384—22no—
191#384C2314yes—
192#380—22no—
193#380C2314yes—
194C4×C4⋊C4—22no—
195C4×C4⋊C4C2314yes—
196C4×C22⋊C4D414yes—
197C4×C22⋊C4C2314yes—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95D411yescharacteristic
203C2×#95D411yescharacteristic
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#336C2314yes—
209#336C2314yes—
210C25—21no—
211C25—21no—
212C25C2×D411yescharacteristic
213C22×D4—28no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—22no—
217C22×D4—21no—
218C22×D4—21no—
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—44no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4—44no—
232C22×D4—82no—
233C22×D4C2×D414yes—
234C22×D4#4114yes—
235C22×D4C2412yes—
236C22×D4C2412yes—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4—82no—
259C23×C4—82no—
260C23×C4—82no—
261C23×C4C2×D412yes—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C2×D8—232no—
270C2×D8—28no—
271C2×D8—28no—
272C2×D8—28no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8C2×D414yes—
284C22×C8#4114yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289#123—432no—
290#121—216no—
291#121—28no—
292#121—28no—
293#121—28no—
294#121—44no—
295#121—48no—
296C4×D4—28no—
297C4×D4—28no—
298C4×D4—44no—
299C4×D4—44no—
300C4×D4—48no—
301C4×D4—48no—
302C4×D4—432no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—28no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—48no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—82no—
332C2×C4⋊C4C2×D414yes—
333C2×C4⋊C4#4114yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C22⋊C4—28no—
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—42no—
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—44no—
358C2×C22⋊C4—82no—
359C2×C22⋊C4D818yescomplemented
360C2×C22⋊C4C2×D414yes—
361C2×C22⋊C4C2×D414yes—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—24no—
367C2×C42—44no—
368C2×C42C2×D412yes—
369C2×C42C2×D412yes—
370C2×C42C2412yes—
371C2×C42C2412yes—
372#107—28no—
373#107—28no—
374#107—28no—
375#107—28no—
376#107—44no—
377C4⋊C8—28no—
378#102—28no—
379#102—28no—
380#102—28no—
381#102—28no—
382#102—44no—
383#102C2×D4116yescomplemented
384C22⋊C8—28no—
385C22⋊C8—28no—
386C4×C8—28no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95C2×D414yes—
392#95C2×D414yes—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—24no—
400C24—24no—
401C24—22no—
402C24—22no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24C2×D814yes—
416C24C22×D412yes—
417C24C22×D411yescharacteristic
418C2×D4—216no—
419C2×D4—28no—
420C2×D4—28no—
421C2×D4—24no—
422C2×D4—28no—
423C2×D4—24no—
424C2×D4—28no—
425C2×D4—22no—
426C2×D4—22no—
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—432no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—42no—
441C2×D4—44no—
442C2×D4—42no—
443C2×D4—44no—
444C2×D4—42no—
445C2×D4—42no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—84no—
449C2×D4—816no—
450C2×D4C22×D414yes—
451C2×D4C2×#4114yes—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
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—48no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—48no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—84no—
509C22×C4—84no—
510C22×C4—816no—
511C22×C4—816no—
512C22×C4—84no—
513C22×C4—816no—
514C22×C4C2×D814yes—
515C22×C4C2×D814yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D412yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C42−1+412yes—
528C22×C4C2511yescharacteristic
529D8—232no—
530C2×C8—28no—
531C2×C8—28no—
532C2×C8—22no—
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—44no—
543C2×C8—44no—
544C2×C8C22×D414yes—
545C2×C8C2×#4114yes—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—48no—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—84no—
567C4⋊C4C22×D414yes—
568C4⋊C4C2×#4114yes—
569C22⋊C4—216no—
570C22⋊C4—44no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—84no—
579C22⋊C4C2×D8116yescomplemented
580C42—24no—
581C42—24no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—48no—
587C23—28no—
588C23—28no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—28no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—24no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—48no—
603C23—48no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—48no—
609C23—48no—
610C23—48no—
611C23—48no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23#52512yes—
629C23D4212yes—
630C23#54712yes—
631C23C22×D814yes—
632C23C22×D812yes—
633C23#57512yes—
634C23#57612yes—
635C23#57812yes—
636C23C23×D411yescharacteristic
637D4—24no—
638D4—24no—
639D4—24no—
640D4—24no—
641D4—432no—
642D4—42no—
643D4—42no—
644D4—48no—
645D4—48no—
646D4—42no—
647D4—42no—
648D4—816no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—28no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—44no—
667C2×C4—48no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—48no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—48no—
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—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—816no—
693C2×C4—816no—
694C2×C4—816no—
695C2×C4—84no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4#52514yes—
700C2×C4#52512yes—
701C2×C4#53914yes—
702C2×C4D4212yes—
703C2×C4#54714yes—
704C2×C4#54712yes—
705C2×C4#55914yes—
706C2×C4C22×D814yes—
707C2×C4C22×D814yes—
708C2×C4C23×D411yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C22×#4111yescharacteristic
711C2×C4C22×#4111yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C2×C4C2×2−1+411yescharacteristic
714C8—24no—
715C8—24no—
716C8—42no—
717C8—42no—
718C22—24no—
719C22—24no—
720C22—24no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—416no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—816no—
741C22—816no—
742C22#245514yes—
743C22#310014yes—
744C22#312414yes—
745C22#326914yes—
746C22D4×D814yes—
747C22#333414yes—
748C22#335514yes—
749C22C2×#52511yescharacteristic
750C22C2×D4211yescharacteristic
751C22C2×#54711yescharacteristic
752C22C23×D811yescharacteristic
753C22C2×#57511yescharacteristic
754C22C2×#57611yescharacteristic
755C22C2×#57811yescharacteristic
756C4—24no—
757C4—24no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—44no—
762C4—44no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4#245514yes—
768C4C2×#52511yescharacteristic
769C4C2×#53911yescharacteristic
770C4C2×#54711yescharacteristic
771C4C2×#55911yescharacteristic
772C2—44no—
773C2—84no—
774C2—84no—
775C2#2654618yesdirect product factor
776C2C2×#245511yescharacteristic
777C2C2×#310011yescharacteristic
778C2C2×#312411yescharacteristic
779C2C2×#326911yescharacteristic
780C2C2×D4×D811yescharacteristic
781C2C2×#333411yescharacteristic
782C2C2×#335511yescharacteristic
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. C22×#480C2semidirect
2. C22×C4×D8C2semidirect
3. C2×#2422C2semidirect
4. C2×#2361C2semidirect
5. #26546C2direct (N × H)
6. C2×#2093C2semidirect
7. C2×#2054C2semidirect
8. C2×#2033C2semidirect
10. C2×#1947C2semidirect
11. C2×#1942C2semidirect
12. C2×#1925C2semidirect
13. C2×#1923C2semidirect
14. C2×#1862C2semidirect
15. C2×#1862C2semidirect
16. C2×#1852C2semidirect
26. C2×#480C22semidirect
28. C2×C4×D8C22semidirect
45. #2422C22semidirect
49. #2361C22semidirect
62. #2093C22semidirect
63. #2054C22semidirect
64. #2033C22semidirect
66. #1947C22semidirect
67. #1942C22semidirect
68. #1925C22semidirect
69. #1923C22semidirect
70. #1862C22semidirect
71. #1862C22semidirect
72. #1852C22semidirect
163. C2×#102D4semidirect
359. C2×C22⋊C4D8semidirect
383. #102C2×D4semidirect
579. C22⋊C4C2×D8semidirect
775. C2#26546direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4802
C22×C4×D82
C2×#24222
C2×#23612
#265462
C2×#20932
C2×#20542
C2×#20332
C2×#19992
C2×#19472
C2×#19422
C2×#19252
C2×#19232
C2×#18622
C2×#18522