Finite Group Databasebeta

← C2×#28915 #6459965

Subgroups — C2×#28915 #6459965

Order 512.

2586 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
1C22×#489C211yesmaximal, characteristic, complemented
2C22×#468C211yesmaximal, characteristic
3C2×#2492C211yesmaximal, characteristic, complemented
4C2×#2427C211yesmaximal, characteristic
5#28915C2116yesmaximal, direct product factor
6C2×#2057C211yesmaximal, characteristic, complemented
7C2×#2033C211yesmaximal, characteristic
8C2×#2015C211yesmaximal, characteristic, complemented
9C2×#2001C211yesmaximal, characteristic, complemented
10C2×#1969C211yesmaximal, characteristic, complemented
11C2×#1935C211yesmaximal, characteristic, complemented
12C2×#1928C211yesmaximal, characteristic, complemented
13C2×#1894C211yesmaximal, characteristic, complemented
14C2×#1877C211yesmaximal, characteristic, complemented
15C2×C4×#102C211yesmaximal, characteristic, complemented
16C2×#1753C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×M16C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×#121C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C2×#489—28no—
27C2×#489C2218yescomplemented
28C2×#468—28no—
29C2×#468C2218yes—
30C22×#107C2211yescharacteristic
31C22×#107C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×#97C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2492—24no—
44#2492C2218yescomplemented
45#2427—24no—
46#2427C2218yes—
47C2×#400—21no—
48C2×#397—21no—
49C2×#394—21no—
50C2×#393—21no—
51C2×#391—21no—
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#391C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#388—21no—
57C2×#386—21no—
58C2×#380—21no—
59C2×#380C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2057C2218yescomplemented
63#2033C2218yes—
64#2015C2218yescomplemented
65#2001C2218yescomplemented
66#1969C2218yescomplemented
67#1935C2218yescomplemented
68#1928C2218yescomplemented
69#1894C2218yescomplemented
70#1877C2218yescomplemented
71C4×#102C2218yescomplemented
72#1753C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8C2311yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×D4—21no—
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C22×Q16—24no—
87C22×Q16—42no—
88C22×Q16—42no—
89C22×Q16C2314yes—
90C22×SD16—24no—
91C22×SD16—24no—
92C22×SD16—42no—
93C22×SD16C2314yes—
94C22×M16—24no—
95C22×M16—24no—
96C22×M16—42no—
97C22×M16C2314yes—
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C2×C4⋊Q8—24no—
103C2×C4⋊Q8—22no—
104C2×C4⋊Q8—42no—
105C2×C4⋊Q8C2314yes—
106C2×#124—24no—
107C2×#124—22no—
108C2×#124—42no—
109C2×#124C2314yes—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—24no—
113C2×C22⋊Q8—24no—
114C2×C22⋊Q8—42no—
115C2×C22⋊Q8—42no—
116C2×C22⋊Q8C2314yes—
117C2×C22⋊Q8C2314yes—
118C2×#121—22no—
119C2×#121—24no—
120C2×#121—42no—
121C2×#121C2314yes—
122C2×C4×D4—24no—
123C2×C4×D4—22no—
124C2×C4×D4—42no—
125C2×C4×D4C2314yes—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
143C22×C22⋊C4D411yescharacteristic
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147#489—232no—
148#468—232no—
149C2×#107—24no—
150C2×#107—42no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#103—24no—
154C2×#103—24no—
155C2×#103—24no—
156C2×#103—24no—
157C2×#103—24no—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#102—24no—
164C2×#102—24no—
165C2×#102D418yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×C22⋊C8—24no—
170C2×C22⋊C8C2314yes—
171C2×#97—24no—
172C2×#97C2314yes—
173C2×C4×C8—42no—
174C2×C4×C8C2314yes—
175#400—28no—
176#397—28no—
177#394—28no—
178#393—28no—
179#391—22no—
180#391—22no—
181#391—22no—
182#391—28no—
183#391C2314yes—
184#391C2314yes—
185#391C2314yes—
186#389—22no—
187#389C2314yes—
188#388—28no—
189#386—28no—
190#380—22no—
191#380—28no—
192#380C2314yes—
193C4×C4⋊C4—22no—
194C4×C4⋊C4C2314yes—
195C4×C22⋊C4D414yes—
196C4×C22⋊C4C2314yes—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
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#340C2314yes—
211#340C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25C2×D411yescharacteristic
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—24no—
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×Q8—22no—
229C22×Q8—22no—
230C22×Q8—22no—
231C22×Q8—44no—
232C22×Q8—44no—
233C22×Q8—82no—
234C22×Q8C2412yes—
235C22×Q8C2412yes—
236C22×D4—24no—
237C22×D4—21no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—82no—
246C22×D4C2×D414yes—
247C22×D4C2412yes—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—24no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4—82no—
265C23×C4C2×D412yes—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×Q16—28no—
274C2×Q16—44no—
275C2×Q16—44no—
276C2×Q16—416no—
277C2×SD16—28no—
278C2×SD16—28no—
279C2×SD16—44no—
280C2×SD16—416no—
281C2×M16—28no—
282C2×M16—28no—
283C2×M16—44no—
284C2×M16—416no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8C2×D414yes—
295C22×C8#4114yes—
296C22×C8#4114yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C4⋊Q8—28no—
302C4⋊Q8—44no—
303C4⋊Q8—48no—
304#124—28no—
305#124—44no—
306#124—48no—
307C22⋊Q8—28no—
308C22⋊Q8—28no—
309C22⋊Q8—44no—
310C22⋊Q8—44no—
311C22⋊Q8—48no—
312C22⋊Q8—48no—
313#121—28no—
314#121—44no—
315#121—48no—
316C4×D4—28no—
317C4×D4—44no—
318C4×D4—48no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—82no—
340C2×C4⋊C4C2×D414yes—
341C2×C4⋊C4#4114yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
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—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—42no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—82no—
363C2×C22⋊C4C2×D414yes—
364C2×C22⋊C4C2×D414yes—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—24no—
370C2×C42—82no—
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374C2×C42C2412yes—
375#107—28no—
376#107—44no—
377#103—28no—
378#103—28no—
379#103—28no—
380#103—28no—
381#103—28no—
382#102—28no—
383#102—28no—
384#102C2×D4116yes—
385C22⋊C8—28no—
386#97—28no—
387C4×C8—44no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95C2×D414yes—
398#95C2×D414yes—
399C24—22no—
400C24—24no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24C22×D412yes—
415C24C22×D411yescharacteristic
416C2×Q8—22no—
417C2×Q8—22no—
418C2×Q8—22no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—48no—
429C2×Q8—48no—
430C2×Q8—42no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8—44no—
443C2×Q8—44no—
444C2×Q8—84no—
445C2×Q8—816no—
446C2×D4—28no—
447C2×D4—24no—
448C2×D4—28no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—42no—
457C2×D4—44no—
458C2×D4—42no—
459C2×D4—44no—
460C2×D4—84no—
461C2×D4—816no—
462C2×D4C22×D414yes—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
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—24no—
482C22×C4—24no—
483C22×C4—24no—
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—22no—
494C22×C4—22no—
495C22×C4—48no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—48no—
520C22×C4—84no—
521C22×C4—816no—
522C22×C4#13714yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D412yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C4C2511yescharacteristic
536Q16—416no—
537SD16—416no—
538M16—416no—
539C2×C8—28no—
540C2×C8—28no—
541C2×C8—28no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—44no—
552C2×C8C22×D414yes—
553C2×C8C2×#4114yes—
554C2×C8C2×#4114yes—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—48no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—84no—
572C4⋊C4C22×D414yes—
573C4⋊C4C2×#4114yes—
574C22⋊C4—28no—
575C22⋊C4—44no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—84no—
583C42—24no—
584C42—24no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—84no—
590C23—22no—
591C23—24no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—44no—
599C23—44no—
600C23—42no—
601C23—42no—
602C23—44no—
603C23—48no—
604C23—44no—
605C23—48no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—48no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23#53212yes—
619C23D4212yes—
620C23#54612yes—
621C23C2×#13712yes—
622C23#57512yes—
623C23#57612yes—
624C23#57812yes—
625C23C23×D411yescharacteristic
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—42no—
631Q8—42no—
632Q8—42no—
633Q8—42no—
634Q8—816no—
635Q8—84no—
636Q8—84no—
637D4—24no—
638D4—24no—
639D4—42no—
640D4—42no—
641D4—48no—
642D4—816no—
643C2×C4—22no—
644C2×C4—28no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—44no—
661C2×C4—48no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—44no—
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—48no—
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—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—816no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4#53214yes—
697C2×C4#53212yes—
698C2×C4#53814yes—
699C2×C4D4212yes—
700C2×C4#54614yes—
701C2×C4#54612yes—
702C2×C4#55514yes—
703C2×C4C2×#13714yes—
704C2×C4C23×D411yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C2×H(5,𝔽2)11yescharacteristic
709C2×C4C2×H(5,𝔽2)11yescharacteristic
710C8—24no—
711C8—24no—
712C8—24no—
713C8—42no—
714C22—42no—
715C22—42no—
716C22—44no—
717C22—42no—
718C22—42no—
719C22—44no—
720C22—42no—
721C22—44no—
722C22—42no—
723C22—42no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—88no—
729C22—816no—
730C22#255514yes—
731C22#317214yes—
732C22#317514yes—
733C22#327314yes—
734C22#327614yes—
735C22#331314yes—
736C22#331414yes—
737C22C2×#53211yescharacteristic
738C22C2×D4211yescharacteristic
739C22C2×#54611yescharacteristic
740C22C22×#13711yescharacteristic
741C22C2×#57511yescharacteristic
742C22C2×#57611yescharacteristic
743C22C2×#57811yescharacteristic
744C4—24no—
745C4—42no—
746C4—42no—
747C4—44no—
748C4—42no—
749C4—44no—
750C4—42no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4#255514yes—
757C4C2×#53211yescharacteristic
758C4C2×#53811yescharacteristic
759C4C2×#54611yescharacteristic
760C4C2×#55511yescharacteristic
761C2—82no—
762C2—84no—
763C2#2891518yesdirect product factor
764C2C2×#255511yescharacteristic
765C2C2×#317211yescharacteristic
766C2C2×#317511yescharacteristic
767C2C2×#327311yescharacteristic
768C2C2×#327611yescharacteristic
769C2C2×#331411yescharacteristic
770C2C2×#331311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
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×#489C2semidirect
3. C2×#2492C2semidirect
5. #28915C2direct (N × H)
6. C2×#2057C2semidirect
8. C2×#2015C2semidirect
9. C2×#2001C2semidirect
10. C2×#1969C2semidirect
11. C2×#1935C2semidirect
12. C2×#1928C2semidirect
13. C2×#1894C2semidirect
14. C2×#1877C2semidirect
15. C2×C4×#102C2semidirect
16. C2×#1753C2semidirect
27. C2×#489C22semidirect
44. #2492C22semidirect
62. #2057C22semidirect
64. #2015C22semidirect
65. #2001C22semidirect
66. #1969C22semidirect
67. #1935C22semidirect
68. #1928C22semidirect
69. #1894C22semidirect
70. #1877C22semidirect
71. C4×#102C22semidirect
72. #1753C22semidirect
763. C2#28915direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4892
C22×#4682
C2×#24922
C2×#24272
#289152
C2×#20572
C2×#20332
C2×#20152
C2×#20012
C2×#19692
C2×#19352
C2×#19282
C2×#18942
C2×#18772
C2×C4×#1022
C2×#17532