Finite Group Databasebeta

← C2×#24517 #6451973

Subgroups — C2×#24517 #6451973

Order 512.

2904 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×#452C211yesmaximal, characteristic
2C22×#433C211yesmaximal, characteristic, complemented
3C2×#2625C211yesmaximal, characteristic, complemented
4C2×#2311C211yesmaximal, characteristic
5#24517C2116yesmaximal, direct product factor
6C2×#2066C211yesmaximal, characteristic, complemented
7C2×#2065C211yesmaximal, characteristic, complemented
8C2×#2056C211yesmaximal, characteristic, complemented
9C2×#2055C211yesmaximal, characteristic, complemented
10C2×#1971C211yesmaximal, characteristic, complemented
11C2×#1968C211yesmaximal, characteristic, complemented
12C2×#1936C211yesmaximal, characteristic, complemented
13C2×#1933C211yesmaximal, characteristic, complemented
14C2×#1872C211yesmaximal, characteristic, complemented
15C2×#1853C211yesmaximal, characteristic, complemented
16C2×#1788C211yesmaximal, characteristic
17C23×#41C2211yescharacteristic
18C23×Q16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C2×#452—28no—
24C2×#452C2218yes—
25C2×#433—28no—
26C2×#433C2218yescomplemented
27C22×#106C2211yescharacteristic
28C22×#106C2211yescharacteristic
29C22×C4⋊C8C2211yescharacteristic
30C22×C4⋊C8C2211yescharacteristic
31C22×#103C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×#97C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2625—24no—
44#2625C2218yescomplemented
45C2×#400—21no—
46C2×#398—21no—
47C2×#397—21no—
48C2×#397—21no—
49#2311—24no—
50#2311C2218yes—
51C2×#391C2211yescharacteristic
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#391C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#390C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#389C2211yescharacteristic
59C2×#386—21no—
60C2×#386—21no—
61C2×#380—21no—
62C2×#380—21no—
63C2×#380C2211yescharacteristic
64#2066C2218yescomplemented
65#2065C2218yescomplemented
66#2056C2218yescomplemented
67#2055C2218yescomplemented
68#1971C2218yescomplemented
69#1968C2218yescomplemented
70#1936C2218yescomplemented
71#1933C2218yescomplemented
72#1872C2218yescomplemented
73#1853C2218yescomplemented
74#1788C2218yes—
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C22×#41—24no—
80C22×#41—24no—
81C22×#41—22no—
82C22×#41—24no—
83C22×#41—24no—
84C22×#41—42no—
85C22×#41—42no—
86C22×#41C2314yes—
87C23×Q8C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C24×C4—21no—
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C22×Q16—24no—
95C22×Q16—24no—
96C22×Q16—42no—
97C22×Q16C2314yes—
98C22×SD16—24no—
99C22×SD16—24no—
100C22×SD16—42no—
101C22×SD16C2314yes—
102C23×C8C2311yescharacteristic
103C23×C8C2311yescharacteristic
104C23×C8C2311yescharacteristic
105C23×C8C2311yescharacteristic
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8—24no—
109C2×C22⋊Q8C2314yes—
110C2×#117—24no—
111C2×#117—24no—
112C2×#117D414yes—
113C2×#117C2314yes—
114C22×C4⋊C4—22no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—42no—
120C22×C4⋊C4—42no—
121C22×C4⋊C4D411yescharacteristic
122C22×C4⋊C4D411yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2314yes—
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⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139#452—232no—
140#433—232no—
141C2×#106—42no—
142C2×#106—42no—
143C2×#106C2314yes—
144C2×#106C2314yes—
145C2×C4⋊C8—24no—
146C2×C4⋊C8—24no—
147C2×C4⋊C8C2314yes—
148C2×C4⋊C8C2314yes—
149C2×#103—24no—
150C2×#103—24no—
151C2×#103—42no—
152C2×#103—42no—
153C2×#103—42no—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102—42no—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8—24no—
166C2×C22⋊C8D418yes—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C2×#97—24no—
170C2×#97C2314yes—
171C2×C4×C8—24no—
172C2×C4×C8C2314yes—
173#400—28no—
174#398—28no—
175#397—28no—
176#397—28no—
177#391—22no—
178#391—22no—
179#391—22no—
180#391—22no—
181#391C2314yes—
182#391C2314yes—
183#391C2314yes—
184#391C2314yes—
185#390—22no—
186#390—22no—
187#390C2314yes—
188#390C2314yes—
189#389—22no—
190#389—22no—
191#389C2314yes—
192#389C2314yes—
193#386—28no—
194#386—28no—
195#380—22no—
196#380—28no—
197#380—28no—
198#380C2314yes—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95—21no—
209C2×#95—21no—
210#340C2314yes—
211#340C2314yes—
212#340C2314yes—
213#340C2314yes—
214C25—21no—
215C25C2×D411yescharacteristic
216C2×#41—216no—
217C2×#41—28no—
218C2×#41—28no—
219C2×#41—28no—
220C2×#41—28no—
221C2×#41—44no—
222C2×#41—44no—
223C2×#41—416no—
224C2×#41—416no—
225C2×#41—416no—
226C2×#41—416no—
227C2×#41—48no—
228C2×#41—48no—
229C22×Q8—21no—
230C22×Q8—21no—
231C22×Q8—22no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—22no—
235C22×Q8—22no—
236C22×Q8—22no—
237C22×Q8—22no—
238C22×Q8—22no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8#4114yes—
243C22×Q8C2412yes—
244C22×Q8C2412yes—
245C22×D4—28no—
246C22×D4—24no—
247C22×D4—22no—
248C22×D4—21no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—44no—
254C22×D4—44no—
255C22×D4#4114yes—
256C22×D4C2412yes—
257C23×C4—22no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—28no—
262C23×C4—21no—
263C23×C4—24no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—24no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—82no—
275C23×C4—82no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D412yes—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D414yes—
283C23×C4#4114yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×Q16—28no—
287C2×Q16—28no—
288C2×Q16—44no—
289C2×Q16—416no—
290C2×SD16—28no—
291C2×SD16—28no—
292C2×SD16—44no—
293C2×SD16—416no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8—22no—
297C22×C8—22no—
298C22×C8—22no—
299C22×C8—22no—
300C22×C8—22no—
301C22×C8—22no—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8C2×D414yes—
305C22×C8C2×D414yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22⋊Q8—28no—
311C22⋊Q8—28no—
312C22⋊Q8—48no—
313#117—216no—
314#117—28no—
315#117—28no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
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—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—48no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—82no—
343C2×C4⋊C4—82no—
344C2×C4⋊C4C2×D414yes—
345C2×C4⋊C4C2×D414yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4—82no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4—82no—
365C2×C22⋊C4C2×D414yes—
366C2×C22⋊C4C2×D414yes—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374C2×C42C2412yes—
375#106—44no—
376#106—44no—
377C4⋊C8—28no—
378C4⋊C8—28no—
379#103—28no—
380#103—28no—
381#103—44no—
382#103—44no—
383#103—44no—
384#102—28no—
385#102—28no—
386#102—44no—
387C22⋊C8—28no—
388C22⋊C8C2×D4116yes—
389#97—28no—
390C4×C8—28no—
391#95—24no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95—24no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—24no—
409C24—22no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24#12114yes—
417C24C22×D412yes—
418C24C22×D411yescharacteristic
419#41—416no—
420#41—416no—
421#41—416no—
422#41—416no—
423#41—464no—
424C2×Q8—24no—
425C2×Q8—22no—
426C2×Q8—28no—
427C2×Q8—28no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8—42no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8—44no—
444C2×Q8—44no—
445C2×Q8—44no—
446C2×Q8—44no—
447C2×Q8—44no—
448C2×Q8—44no—
449C2×Q8C2×#4114yes—
450C2×D4—216no—
451C2×D4—24no—
452C2×D4—28no—
453C2×D4—28no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—432no—
460C2×D4—48no—
461C2×D4—48no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4C2×#4114yes—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—216no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
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—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—432no—
501C22×C4—48no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—48no—
505C22×C4—48no—
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—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—84no—
525C22×C4—84no—
526C22×C4—816no—
527C22×C4#12114yes—
528C22×C4#12118yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D414yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D412yes—
537C22×C4C2×#4114yes—
538C22×C4C2×#4112yes—
539C22×C4C2×#4112yes—
540C22×C4C2×#4112yes—
541C22×C4H(5,𝔽2)12yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4C2511yescharacteristic
544Q16—416no—
545SD16—416no—
546C2×C8—28no—
547C2×C8—28no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—44no—
559C2×C8—44no—
560C2×C8C22×D414yes—
561C2×C8C22×D414yes—
562C4⋊C4—28no—
563C4⋊C4—28no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—48no—
575C4⋊C4—42no—
576C4⋊C4—48no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—84no—
582C4⋊C4—84no—
583C22⋊C4—28no—
584C22⋊C4—28no—
585C22⋊C4—48no—
586C22⋊C4—84no—
587C22⋊C4—84no—
588C22⋊C4—84no—
589C22⋊C4—84no—
590C22⋊C4—84no—
591C42—24no—
592C42—24no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C23—28no—
598C23—22no—
599C23—22no—
600C23—28no—
601C23—28no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—24no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—48no—
612C23—48no—
613C23—42no—
614C23—48no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23C2×#12114yes—
625C23C2×#12112yes—
626C23#52512yes—
627C23#53512yes—
628C23#57712yes—
629C23#57712yes—
630C23#57712yes—
631C23#57812yes—
632C23C23×D411yescharacteristic
633Q8—24no—
634Q8—24no—
635Q8—48no—
636Q8—42no—
637Q8—42no—
638Q8—42no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—84no—
643D4—24no—
644D4—24no—
645D4—432no—
646D4—48no—
647D4—42no—
648D4—42no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—216no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—432no—
671C2×C4—42no—
672C2×C4—48no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
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—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—816no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4C2×#12114yes—
704C2×C4C2×#12112yes—
705C2×C4#52512yes—
706C2×C4#53512yes—
707C2×C4#54614yes—
708C2×C4#54614yes—
709C2×C4#55114yes—
710C2×C4#55114yes—
711C2×C4C23×D411yescharacteristic
712C2×C4C22×#4111yescharacteristic
713C2×C4C22×#4111yescharacteristic
714C2×C4C22×#4111yescharacteristic
715C2×C4C2×H(5,𝔽2)11yescharacteristic
716C2×C4C2×H(5,𝔽2)11yescharacteristic
717C8—24no—
718C8—24no—
719C8—42no—
720C8—42no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—416no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—816no—
737C22#241114yes—
738C22#306014yes—
739C22#306314yes—
740C22#312014yes—
741C22#312514yes—
742C22#322214yes—
743C22#322514yes—
744C22C22×#12111yescharacteristic
745C22C2×#52511yescharacteristic
746C22C2×#53511yescharacteristic
747C22C2×#57711yescharacteristic
748C22C2×#57711yescharacteristic
749C22C2×#57711yescharacteristic
750C22C2×#57811yescharacteristic
751C4—24no—
752C4—42no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—44no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4#241114yes—
764C4C2×#54611yescharacteristic
765C4C2×#54611yescharacteristic
766C4C2×#55111yescharacteristic
767C4C2×#55111yescharacteristic
768C2—44no—
769C2—84no—
770C2#2451718yesdirect product factor
771C2C2×#241111yescharacteristic
772C2C2×#306011yescharacteristic
773C2C2×#306311yescharacteristic
774C2C2×#312011yescharacteristic
775C2C2×#312511yescharacteristic
776C2C2×#322211yescharacteristic
777C2C2×#322511yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×#41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#433C2semidirect
3. C2×#2625C2semidirect
5. #24517C2direct (N × H)
6. C2×#2066C2semidirect
7. C2×#2065C2semidirect
8. C2×#2056C2semidirect
9. C2×#2055C2semidirect
10. C2×#1971C2semidirect
11. C2×#1968C2semidirect
12. C2×#1936C2semidirect
13. C2×#1933C2semidirect
14. C2×#1872C2semidirect
15. C2×#1853C2semidirect
26. C2×#433C22semidirect
44. #2625C22semidirect
64. #2066C22semidirect
65. #2065C22semidirect
66. #2056C22semidirect
67. #2055C22semidirect
68. #1971C22semidirect
69. #1968C22semidirect
70. #1936C22semidirect
71. #1933C22semidirect
72. #1872C22semidirect
73. #1853C22semidirect
770. C2#24517direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4522
C22×#4332
C2×#26252
C2×#23112
#245172
C2×#20662
C2×#20652
C2×#20562
C2×#20552
C2×#19712
C2×#19682
C2×#19362
C2×#19332
C2×#18722
C2×#18532
C2×#17882