Finite Group Databasebeta

← C2×#27284 #6440756

Subgroups — C2×#27284 #6440756

Order 512.

2934 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#491C211yesmaximal, characteristic, complemented
2C22×#417C211yesmaximal, characteristic
3C2×#2432C211yesmaximal, characteristic
4C2×#2442C211yesmaximal, characteristic, complemented
5#27284C2116yesmaximal, direct product factor
6C2×#2074C211yesmaximal, characteristic, complemented
7C2×#2043C211yesmaximal, characteristic, complemented
8C2×#2042C211yesmaximal, characteristic, complemented
9C2×#2025C211yesmaximal, characteristic, complemented
10C2×#1958C211yesmaximal, characteristic, complemented
11C2×#1936C211yesmaximal, characteristic, complemented
12C2×#1933C211yesmaximal, characteristic, complemented
13C2×#1894C211yesmaximal, characteristic, complemented
14C2×#1872C211yesmaximal, characteristic, complemented
15C2×#1788C211yesmaximal, characteristic
16C2×#1753C211yesmaximal, characteristic, complemented
17C23×#41C2211yescharacteristic
18C23×M16C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#125C2211yescharacteristic
21C22×#124C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C2×#491—28no—
25C2×#491C2218yescomplemented
26C2×#417—28no—
27C2×#417C2218yes—
28C22×#103C2211yescharacteristic
29C22×#103C2211yescharacteristic
30C22×#103C2211yescharacteristic
31C22×#103C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×#97C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2442—24no—
44#2442C2218yescomplemented
45#2432—24no—
46#2432C2218yes—
47C2×#400—21no—
48C2×#398—21no—
49C2×#394—21no—
50C2×#394—21no—
51C2×#391C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#389C2211yescharacteristic
55C2×#385—21no—
56C2×#385—21no—
57C2×#385—21no—
58C2×#382C2211yescharacteristic
59C2×#380—21no—
60C2×#380C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62#2074C2218yescomplemented
63#2043C2218yescomplemented
64#2042C2218yescomplemented
65#2025C2218yescomplemented
66#1958C2218yescomplemented
67#1936C2218yescomplemented
68#1933C2218yescomplemented
69#1894C2218yescomplemented
70#1872C2218yescomplemented
71#1788C2218yes—
72#1753C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C22×#41—22no—
80C22×#41—24no—
81C22×#41—24no—
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×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×#125—24no—
107C2×#125—22no—
108C2×#125—42no—
109C2×#125C2314yes—
110C2×#124—24no—
111C2×#124—22no—
112C2×#124—42no—
113C2×#124C2314yes—
114C2×C22⋊Q8—22no—
115C2×C22⋊Q8—24no—
116C2×C22⋊Q8—24no—
117C2×C22⋊Q8C2314yes—
118C22×C4⋊C4—24no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—22no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—42no—
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2314yes—
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⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#491—232no—
146#417—232no—
147C2×#103—24no—
148C2×#103—24no—
149C2×#103—24no—
150C2×#103—24no—
151C2×#103—42no—
152C2×#103—42no—
153C2×#103—42no—
154C2×#103D418yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#102—24no—
164C2×#102—24no—
165C2×#102—24no—
166C2×#102—42no—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×C22⋊C8—24no—
172C2×C22⋊C8C2314yes—
173C2×#97—24no—
174C2×#97C2314yes—
175C2×C4×C8—42no—
176C2×C4×C8C2314yes—
177#400—28no—
178#398—28no—
179#394—28no—
180#394—28no—
181#391—22no—
182#391C2314yes—
183#390—22no—
184#390C2314yes—
185#389—22no—
186#389—22no—
187#389C2314yes—
188#389C2314yes—
189#385—28no—
190#385—28no—
191#385—28no—
192#382—22no—
193#382C2314yes—
194#380—22no—
195#380—28no—
196#380C2314yes—
197C4×C22⋊C4D414yes—
198C4×C22⋊C4C2314yes—
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
216C2×#41—232no—
217C2×#41—28no—
218C2×#41—28no—
219C2×#41—28no—
220C2×#41—28no—
221C2×#41—44no—
222C2×#41—44no—
223C2×#41—48no—
224C2×#41—416no—
225C2×#41—48no—
226C2×#41—416no—
227C2×#41—416no—
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×Q8C2×D414yes—
243C22×Q8C2412yes—
244C22×Q8C2412yes—
245C22×D4—24no—
246C22×D4—22no—
247C22×D4—21no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—44no—
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—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—24no—
269C23×C4—24no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—82no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D412yes—
281C23×C4C2×D411yescharacteristic
282C23×C4#4114yes—
283C23×C4#4114yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C2×M16—28no—
287C2×M16—28no—
288C2×M16—44no—
289C2×M16—416no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8—22no—
297C22×C8—22no—
298C22×C8—22no—
299C22×C8—22no—
300C22×C8—22no—
301C22×C8C2×D414yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C4⋊Q8—28no—
307C4⋊Q8—44no—
308C4⋊Q8—48no—
309#125—28no—
310#125—44no—
311#125—48no—
312#124—28no—
313#124—44no—
314#124—48no—
315C22⋊Q8—28no—
316C22⋊Q8—28no—
317C22⋊Q8—48no—
318C2×C4⋊C4—21no—
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—28no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—48no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—44no—
349C2×C4⋊C4—82no—
350C2×C4⋊C4—82no—
351C2×C4⋊C4C2×D414yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—42no—
364C2×C22⋊C4—42no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4C2×D414yes—
372C2×C22⋊C4C2×D414yes—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42C2×D412yes—
378C2×C42C2×D412yes—
379C2×C42C2412yes—
380C2×C42C2412yes—
381#103—28no—
382#103—28no—
383#103—28no—
384#103—28no—
385#103—44no—
386#103—44no—
387#103—44no—
388#103C2×D4116yes—
389#102—28no—
390#102—28no—
391#102—28no—
392#102—44no—
393C22⋊C8—28no—
394#97—28no—
395C4×C8—44no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95—24no—
402#95—24no—
403#95C2×D414yes—
404#95C2×D414yes—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—24no—
412C24—22no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24#12414yes—
420C24C22×D412yes—
421C24C22×D411yescharacteristic
422#41—232no—
423#41—416no—
424#41—416no—
425#41—416no—
426#41—464no—
427C2×Q8—24no—
428C2×Q8—22no—
429C2×Q8—28no—
430C2×Q8—28no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8—44no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8—44no—
448C2×Q8—44no—
449C2×Q8—44no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8C22×D414yes—
453C2×D4—28no—
454C2×D4—24no—
455C2×D4—28no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—432no—
464C2×D4—48no—
465C2×D4—42no—
466C2×D4—44no—
467C2×D4—42no—
468C2×D4—44no—
469C2×D4C2×#4114yes—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—24no—
475C22×C4—28no—
476C22×C4—24no—
477C22×C4—28no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
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—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—432no—
506C22×C4—48no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—48no—
512C22×C4—48no—
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—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—84no—
529C22×C4—816no—
530C22×C4#12414yes—
531C22×C4#12418yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C2×#4114yes—
540C22×C4C2×#4114yes—
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4C2×#4112yes—
544C22×C4H(5,𝔽2)12yes—
545C22×C4H(5,𝔽2)12yes—
546C22×C4C2511yescharacteristic
547M16—416no—
548C2×C8—28no—
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—22no—
559C2×C8—22no—
560C2×C8—44no—
561C2×C8—44no—
562C2×C8—44no—
563C2×C8C22×D414yes—
564C4⋊C4—24no—
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—48no—
576C4⋊C4—48no—
577C4⋊C4—48no—
578C4⋊C4—48no—
579C4⋊C4—42no—
580C4⋊C4—48no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—84no—
585C4⋊C4—84no—
586C4⋊C4C22×D414yes—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—48no—
594C22⋊C4—48no—
595C42—24no—
596C42—24no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C23—28no—
602C23—28no—
603C23—22no—
604C23—22no—
605C23—28no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—42no—
616C23—42no—
617C23—48no—
618C23—48no—
619C23—48no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23C2×#12414yes—
629C23C2×#12412yes—
630C23D4212yes—
631C23#54612yes—
632C23#57512yes—
633C23#57512yes—
634C23#57712yes—
635C23#57812yes—
636C23C23×D411yescharacteristic
637Q8—24no—
638Q8—24no—
639Q8—42no—
640Q8—42no—
641Q8—48no—
642Q8—42no—
643Q8—42no—
644Q8—42no—
645Q8—42no—
646Q8—84no—
647D4—24no—
648D4—24no—
649D4—432no—
650D4—42no—
651D4—42no—
652D4—48no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—28no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—216no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—432no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—48no—
679C2×C4—44no—
680C2×C4—48no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
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—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—816no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4—84no—
706C2×C4—84no—
707C2×C4#52514yes—
708C2×C4C2×#12414yes—
709C2×C4C2×#12412yes—
710C2×C4#53814yes—
711C2×C4D4212yes—
712C2×C4#54614yes—
713C2×C4#54612yes—
714C2×C4#55114yes—
715C2×C4C23×D411yescharacteristic
716C2×C4C22×#4111yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C2×C4C22×#4111yescharacteristic
719C2×C4C2×H(5,𝔽2)11yescharacteristic
720C2×C4C2×H(5,𝔽2)11yescharacteristic
721C8—24no—
722C8—42no—
723C8—42no—
724C8—42no—
725C22—24no—
726C22—24no—
727C22—24no—
728C22—42no—
729C22—42no—
730C22—416no—
731C22—42no—
732C22—42no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—82no—
737C22—82no—
738C22—816no—
739C22—82no—
740C22—82no—
741C22#247214yes—
742C22#313714yes—
743C22#314214yes—
744C22#327514yes—
745C22#327714yes—
746C22#330714yes—
747C22#331514yes—
748C22C22×#12411yescharacteristic
749C22C2×D4211yescharacteristic
750C22C2×#54611yescharacteristic
751C22C2×#57511yescharacteristic
752C22C2×#57511yescharacteristic
753C22C2×#57711yescharacteristic
754C22C2×#57811yescharacteristic
755C4—24no—
756C4—44no—
757C4—42no—
758C4—44no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4#247214yes—
768C4C2×#52511yescharacteristic
769C4C2×#53811yescharacteristic
770C4C2×#54611yescharacteristic
771C4C2×#55111yescharacteristic
772C2—44no—
773C2—84no—
774C2#2728418yesdirect product factor
775C2C2×#247211yescharacteristic
776C2C2×#313711yescharacteristic
777C2C2×#314211yescharacteristic
778C2C2×#327511yescharacteristic
779C2C2×#327711yescharacteristic
780C2C2×#330711yescharacteristic
781C2C2×#331511yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×#41C22
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×#491C2semidirect
4. C2×#2442C2semidirect
5. #27284C2direct (N × H)
6. C2×#2074C2semidirect
7. C2×#2043C2semidirect
8. C2×#2042C2semidirect
9. C2×#2025C2semidirect
10. C2×#1958C2semidirect
11. C2×#1936C2semidirect
12. C2×#1933C2semidirect
13. C2×#1894C2semidirect
14. C2×#1872C2semidirect
16. C2×#1753C2semidirect
25. C2×#491C22semidirect
44. #2442C22semidirect
62. #2074C22semidirect
63. #2043C22semidirect
64. #2042C22semidirect
65. #2025C22semidirect
66. #1958C22semidirect
67. #1936C22semidirect
68. #1933C22semidirect
69. #1894C22semidirect
70. #1872C22semidirect
72. #1753C22semidirect
774. C2#27284direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4912
C22×#4172
C2×#24322
C2×#24422
#272842
C2×#20742
C2×#20432
C2×#20422
C2×#20252
C2×#19582
C2×#19362
C2×#19332
C2×#18942
C2×#18722
C2×#17882
C2×#17532