Finite Group Databasebeta

← C2×#25027 #6443994

Subgroups — C2×#25027 #6443994

Order 512.

2712 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#482C211yesmaximal, characteristic, complemented
2C22×#480C211yesmaximal, characteristic, complemented
3C2×#2537C211yesmaximal, characteristic
4C2×#2352C211yesmaximal, characteristic, complemented
5#25027C2116yesmaximal, direct product factor
6C2×#2076C211yesmaximal, characteristic, complemented
7C2×#2077C211yesmaximal, characteristic, complemented
8C2×#2034C211yesmaximal, characteristic, complemented
9C2×#2033C211yesmaximal, characteristic, complemented
10C2×#1955C211yesmaximal, characteristic, complemented
11C2×#1947C211yesmaximal, characteristic, complemented
12C2×#1854C211yesmaximal, characteristic, complemented
13C2×#1852C211yesmaximal, characteristic, complemented
14C2×#1847C211yesmaximal, characteristic, complemented
15C2×#1804C211yesmaximal, characteristic, complemented
16C2×#1762C211yesmaximal, characteristic, complemented
17C22×#121—21no—
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C2×#482—28no—
25C2×#482C2218yescomplemented
26C2×#480—28no—
27C2×#480C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×#106C2211yescharacteristic
33C22×#106C2211yescharacteristic
34C22×C4⋊C8C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C22⋊C8C2211yescharacteristic
43C22×#97C2211yescharacteristic
44#2537—24no—
45#2537C2218yes—
46C2×#394—21no—
47C2×#394—21no—
48#2352—24no—
49#2352C2218yescomplemented
50C2×#388—21no—
51C2×#387—21no—
52C2×#386—21no—
53C2×#384C2211yescharacteristic
54C2×#382C2211yescharacteristic
55C2×#380—21no—
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4—21no—
62#2077C2218yescomplemented
63#2076C2218yescomplemented
64#2034C2218yescomplemented
65#2033C2218yescomplemented
66#1955C2218yescomplemented
67#1947C2218yescomplemented
68#1854C2218yescomplemented
69#1852C2218yescomplemented
70#1847C2218yescomplemented
71#1804C2218yescomplemented
72#1762C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C23×D4—21no—
80C23×D4—21no—
81C23×D4D411yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C2×#121—28no—
92C2×#121—22no—
93C2×#121—22no—
94C2×#121—24no—
95C2×#121—24no—
96C2×#121—42no—
97C2×#121—42no—
98C2×#121—48no—
99C2×#121C2314yes—
100C2×#121C2314yes—
101C2×C4×D4—22no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×C4×D4—24no—
106C2×C4×D4D414yes—
107C2×C4×D4C2314yes—
108C2×C4×D4C2314yes—
109C2×#117—22no—
110C2×#117—24no—
111C2×#117—42no—
112C2×#117C2314yes—
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⋊C4D411yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2314yes—
127C22×C4⋊C4C2311yescharacteristic
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
141#482—232no—
142#480—232no—
143C2×#107—24no—
144C2×#107—24no—
145C2×#107—24no—
146C2×#107—42no—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#106—24no—
152C2×#106—42no—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8—24no—
156C2×C4⋊C8C2314yes—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102D418yescomplemented
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8—24no—
166C2×C22⋊C8—24no—
167C2×C22⋊C8—24no—
168C2×C22⋊C8—24no—
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×C22⋊C8C2314yes—
173C2×#97—24no—
174C2×#97C2314yes—
175#394—28no—
176#394—28no—
177#388—28no—
178#387—28no—
179#386—28no—
180#384—22no—
181#384C2314yes—
182#382—22no—
183#382C2314yes—
184#380—22no—
185#380—22no—
186#380—22no—
187#380—22no—
188#380—28no—
189#380C2314yes—
190#380C2314yes—
191#380C2314yes—
192#380C2314yes—
193C4×C4⋊C4—22no—
194C4×C4⋊C4C2314yes—
195C4×C22⋊C4—28no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#340C2314yes—
209C25—21no—
210C25C2×D411yescharacteristic
211C25C2×D411yescharacteristic
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—21no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—42no—
223C22×D4—44no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—82no—
228C22×D4—82no—
229C22×D4C2×D414yes—
230C22×D4C2×D414yes—
231C22×D4C2412yes—
232C23×C4—21no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
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—21no—
250C23×C4—21no—
251C23×C4—24no—
252C23×C4—24no—
253C23×C4—44no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4—82no—
259C23×C4C2×D412yes—
260C23×C4C2×D412yes—
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2411yescharacteristic
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×C8—22no—
278C22×C8C2×D414yes—
279C22×C8#4114yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284#121—28no—
285#121—28no—
286#121—44no—
287#121—44no—
288#121—48no—
289#121—48no—
290#121—432no—
291C4×D4—216no—
292C4×D4—28no—
293C4×D4—28no—
294C4×D4—28no—
295C4×D4—28no—
296C4×D4—48no—
297#117—28no—
298#117—44no—
299#117—48no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
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—21no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
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—82no—
330C2×C4⋊C4C2×D414yes—
331C2×C4⋊C4C2×D414yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C22⋊C4—24no—
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—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—82no—
357C2×C22⋊C4C2×D414yes—
358C2×C22⋊C4C2×D414yes—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—44no—
362C2×C42—82no—
363C2×C42C2×D412yes—
364C2×C42#4114yes—
365C2×C42#4114yes—
366C2×C42C2412yes—
367#107—28no—
368#107—28no—
369#107—28no—
370#107—44no—
371#106—28no—
372#106—44no—
373C4⋊C8—28no—
374#102—28no—
375#102—28no—
376#102—28no—
377#102C2×D4116yescomplemented
378C22⋊C8—28no—
379C22⋊C8—28no—
380C22⋊C8—28no—
381C22⋊C8—28no—
382#97—28no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95—24no—
389#95—24no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—24no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24AGL(1,ℤ/8)14yes—
412C24C22×D412yes—
413C24C22×D412yes—
414C24C22×D411yescharacteristic
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—28no—
418C2×D4—24no—
419C2×D4—28no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—44no—
426C2×D4—416no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—42no—
432C2×D4—44no—
433C2×D4—42no—
434C2×D4—44no—
435C2×D4—84no—
436C2×D4—84no—
437C2×D4—816no—
438C2×D4—816no—
439C2×D4C22×D414yes—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
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—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—48no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—48no—
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—816no—
510C22×C4—84no—
511C22×C4—816no—
512C22×C4#12314yes—
513C22×C4#12314yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D412yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C42−1+412yes—
525C22×C4C2511yescharacteristic
526C2×C8—28no—
527C2×C8—28no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—44no—
539C2×C8—44no—
540C2×C8C22×D414yes—
541C2×C8C2×#4114yes—
542C4⋊C4—28no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
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—48no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—84no—
566C4⋊C4C22×D414yes—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—84no—
577C42—48no—
578C42—84no—
579C42#12318yes—
580C42C2×#4114yes—
581C42C2×#4114yes—
582C23—28no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—28no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—42no—
608C23—44no—
609C23—48no—
610C23—42no—
611C23—44no—
612C23—48no—
613C23—44no—
614C23—48no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23C2×#12312yes—
624C23D4212yes—
625C23#54712yes—
626C23C2×AGL(1,ℤ/8)14yes—
627C23C2×AGL(1,ℤ/8)12yes—
628C23#57512yes—
629C23#57612yes—
630C23#57812yes—
631C23C23×D411yescharacteristic
632D4—24no—
633D4—24no—
634D4—416no—
635D4—48no—
636D4—42no—
637D4—42no—
638D4—816no—
639D4—816no—
640C2×C4—28no—
641C2×C4—28no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—48no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—48no—
661C2×C4—48no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
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—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—816no—
687C2×C4—816no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4C2×#12314yes—
695C2×C4C2×#12314yes—
696C2×C4C2×#12312yes—
697C2×C4#53214yes—
698C2×C4#54214yes—
699C2×C4D4212yes—
700C2×C4#54712yes—
701C2×C4#54714yes—
702C2×C4#55314yes—
703C2×C4C23×D411yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C2×H(5,𝔽2)11yescharacteristic
708C2×C4C2×2−1+411yescharacteristic
709C8—24no—
710C8—24no—
711C8—42no—
712C8—42no—
713C22—24no—
714C22—24no—
715C22—24no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—416no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—44no—
726C22—42no—
727C22—42no—
728C22—44no—
729C22—42no—
730C22—44no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—88no—
736C22—816no—
737C22#242214yes—
738C22#309414yes—
739C22#309814yes—
740C22#326414yes—
741C22#326914yes—
742C22#334314yes—
743C22#334714yes—
744C22C22×#12311yescharacteristic
745C22C2×D4211yescharacteristic
746C22C2×#54711yescharacteristic
747C22C22×AGL(1,ℤ/8)11yescharacteristic
748C22C2×#57511yescharacteristic
749C22C2×#57611yescharacteristic
750C22C2×#57811yescharacteristic
751C4—24no—
752C4—24no—
753C4—44no—
754C4—42no—
755C4—42no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#242214yes—
763C4C2×#53211yescharacteristic
764C4C2×#54211yescharacteristic
765C4C2×#54711yescharacteristic
766C4C2×#55311yescharacteristic
767C2—44no—
768C2—82no—
769C2—84no—
770C2#2502718yesdirect product factor
771C2C2×#242211yescharacteristic
772C2C2×#309411yescharacteristic
773C2C2×#309811yescharacteristic
774C2C2×#326411yescharacteristic
775C2C2×#326911yescharacteristic
776C2C2×#334311yescharacteristic
777C2C2×#334711yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2537C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#482C2semidirect
2. C22×#480C2semidirect
4. C2×#2352C2semidirect
5. #25027C2direct (N × H)
6. C2×#2076C2semidirect
7. C2×#2077C2semidirect
8. C2×#2034C2semidirect
9. C2×#2033C2semidirect
10. C2×#1955C2semidirect
11. C2×#1947C2semidirect
12. C2×#1854C2semidirect
13. C2×#1852C2semidirect
14. C2×#1847C2semidirect
15. C2×#1804C2semidirect
16. C2×#1762C2semidirect
25. C2×#482C22semidirect
27. C2×#480C22semidirect
49. #2352C22semidirect
62. #2077C22semidirect
63. #2076C22semidirect
64. #2034C22semidirect
65. #2033C22semidirect
66. #1955C22semidirect
67. #1947C22semidirect
68. #1854C22semidirect
69. #1852C22semidirect
70. #1847C22semidirect
71. #1804C22semidirect
72. #1762C22semidirect
160. C2×#102D4semidirect
377. #102C2×D4semidirect
770. C2#25027direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4822
C22×#4802
C2×#25372
C2×#23522
#250272
C2×#20762
C2×#20772
C2×#20342
C2×#20332
C2×#19552
C2×#19472
C2×#18542
C2×#18522
C2×#18472
C2×#18042
C2×#17622