Finite Group Databasebeta

← C2×#27079 #6441413

Subgroups — C2×#27079 #6441413

Order 512.

2612 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2512C211yesmaximal, characteristic, complemented
2C2×#2366C211yesmaximal, characteristic, complemented
3#27079C2116yesmaximal, direct product factor
4C2×#2094C211yesmaximal, characteristic, complemented
5C2×#2054C211yesmaximal, characteristic, complemented
6C2×#2041C211yesmaximal, characteristic, complemented
7C2×#2011C211yesmaximal, characteristic
8C2×#1972C211yesmaximal, characteristic, complemented
9C2×#1926C211yesmaximal, characteristic, complemented
10C2×#1926C211yesmaximal, characteristic, complemented
11C2×#1919C211yesmaximal, characteristic, complemented
12C2×#1917C211yesmaximal, characteristic, complemented
13C2×#1879C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1802C211yesmaximal, characteristic, complemented
16C2×#1762C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×#127C2211yescharacteristic
20C22×#126—21no—
21C22×C4×D4—21no—
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C22×#106C2211yescharacteristic
25C22×#106C2211yescharacteristic
26C22×C4⋊C8C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#97C2211yescharacteristic
36#2512—24no—
37#2512C2218yescomplemented
38C2×#397—21no—
39C2×#396—21no—
40#2366—24no—
41#2366C2218yescomplemented
42C2×#390—21no—
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#388—21no—
50C2×#386—21no—
51C2×#386—21no—
52C2×#384C2211yescharacteristic
53C2×C4×C4⋊C4C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C4⋊C4C2211yescharacteristic
56#2094C2218yescomplemented
57#2054C2218yescomplemented
58#2041C2218yescomplemented
59#2011C2218yes—
60#1972C2218yescomplemented
61#1926C2218yescomplemented
62#1926C2218yescomplemented
63#1919C2218yescomplemented
64#1917C2218yescomplemented
65#1879C2218yescomplemented
66#1879C2218yescomplemented
67#1802C2218yescomplemented
68#1762C2218yescomplemented
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#336C2211yescharacteristic
74C2×#336C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×D4—21no—
78C23×D4—21no—
79C23×D4C2311yescharacteristic
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4—21no—
84C22×D8—24no—
85C22×D8—24no—
86C22×D8—24no—
87C22×D8—42no—
88C22×D8—42no—
89C22×D8—42no—
90C22×D8C2314yes—
91C22×D8C2314yes—
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C2×#127—24no—
97C2×#127—24no—
98C2×#127—22no—
99C2×#127C2314yes—
100C2×#126—28no—
101C2×#126—48no—
102C2×C4×D4—28no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×C4×D4—22no—
106C2×C4×D4—22no—
107C2×C4×D4—42no—
108C2×C4×D4—42no—
109C2×C4×D4—48no—
110C2×C4×D4C2314yes—
111C2×C4×D4C2314yes—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4D411yescharacteristic
116C22×C4⋊C4D411yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
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×C42—21no—
135C22×C42—21no—
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C2×#106—24no—
140C2×#106—42no—
141C2×#106C2314yes—
142C2×#106C2314yes—
143C2×C4⋊C8—42no—
144C2×C4⋊C8C2314yes—
145C2×#102—24no—
146C2×#102—24no—
147C2×#102—24no—
148C2×#102—24no—
149C2×#102—42no—
150C2×#102—42no—
151C2×#102—42no—
152C2×#102—42no—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#97—42no—
162C2×#97C2314yes—
163#397—28no—
164#396—28no—
165#390—28no—
166#390—22no—
167#390—22no—
168#390—22no—
169#390—22no—
170#390—22no—
171#390C2314yes—
172#390C2314yes—
173#390C2314yes—
174#390C2314yes—
175#390C2314yes—
176#389—22no—
177#389C2314yes—
178#388—28no—
179#386—28no—
180#386—28no—
181#384—22no—
182#384C2314yes—
183C4×C4⋊C4—22no—
184C4×C4⋊C4—22no—
185C4×C4⋊C4D414yes—
186C4×C4⋊C4C2314yes—
187C4×C4⋊C4C2314yes—
188C4×C4⋊C4C2314yes—
189C2×#95—21no—
190C2×#95—21no—
191C2×#95—21no—
192C2×#95D411yescharacteristic
193C2×#95D411yescharacteristic
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#336C2314yes—
199#336C2314yes—
200#336C2314yes—
201#336C2314yes—
202C25—21no—
203C25—21no—
204C25—21no—
205C22×D4—28no—
206C22×D4—28no—
207C22×D4—21no—
208C22×D4—21no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—21no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
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—82no—
231C22×D4—82no—
232C22×D4#4114yes—
233C22×D4#4114yes—
234C22×D4C2412yes—
235C22×D4C2412yes—
236C22×D4C2412yes—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—24no—
243C23×C4—24no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—82no—
249C23×C4—82no—
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2411yescharacteristic
257C2×D8—28no—
258C2×D8—28no—
259C2×D8—28no—
260C2×D8—44no—
261C2×D8—44no—
262C2×D8—44no—
263C2×D8—416no—
264C2×D8—416no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
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#4114yes—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22×C8C2412yes—
281#127—216no—
282#127—28no—
283#127—28no—
284#126—432no—
285C4×D4—28no—
286C4×D4—28no—
287C4×D4—44no—
288C4×D4—44no—
289C4×D4—48no—
290C4×D4—48no—
291C4×D4—432no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—82no—
314C2×C4⋊C4C2×D414yes—
315C2×C4⋊C4C2×D414yes—
316C2×C4⋊C4#4114yes—
317C2×C4⋊C4C2412yes—
318C2×C4⋊C4C2412yes—
319C2×C4⋊C4C2412yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—82no—
343C2×C22⋊C4—82no—
344C2×C22⋊C4—82no—
345C2×C22⋊C4—82no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—44no—
355C2×C42—44no—
356C2×C42C2×D412yes—
357C2×C42C2×D412yes—
358C2×C42C2×D412yes—
359C2×C42C2412yes—
360C2×C42C2412yes—
361C2×C42C2412yes—
362#106—28no—
363#106—44no—
364C4⋊C8—44no—
365#102—28no—
366#102—28no—
367#102—28no—
368#102—28no—
369#102—44no—
370#102—44no—
371#102—44no—
372#102—44no—
373#97—44no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95C2×D414yes—
378#95C2×D414yes—
379C24—24no—
380C24—24no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—42no—
385C24—42no—
386C24—42no—
387C24—42no—
388C24—42no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24C22×D411yescharacteristic
404C2×D4—216no—
405C2×D4—216no—
406C2×D4—24no—
407C2×D4—24no—
408C2×D4—28no—
409C2×D4—28no—
410C2×D4—28no—
411C2×D4—28no—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—48no—
429C2×D4—432no—
430C2×D4—42no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—42no—
438C2×D4—42no—
439C2×D4—42no—
440C2×D4—42no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—48no—
446C2×D4—84no—
447C2×D4—84no—
448C2×D4—816no—
449C2×D4C2×#4114yes—
450C2×D4C2×#4114yes—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
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—48no—
474C22×C4—48no—
475C22×C4—48no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—48no—
491C22×C4—84no—
492C22×C4—84no—
493C22×C4—816no—
494C22×C4—816no—
495C22×C4AGL(1,ℤ/8)14yes—
496C22×C4AGL(1,ℤ/8)14yes—
497C22×C4C22×D412yes—
498C22×C4C22×D412yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D411yescharacteristic
504C22×C4C2×#4112yes—
505C22×C4C2×#4112yes—
506C22×C4C2×#4112yes—
507C22×C4C2×#4112yes—
508C22×C4H(5,𝔽2)12yes—
509C22×C4H(5,𝔽2)12yes—
510C22×C4C2511yescharacteristic
511D8—416no—
512D8—416no—
513C2×C8—28no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—44no—
526C2×C8—44no—
527C2×C8—44no—
528C2×C8C2×#4114yes—
529C4⋊C4—24no—
530C4⋊C4—28no—
531C4⋊C4—28no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—48no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—48no—
547C4⋊C4—84no—
548C4⋊C4C2×#4114yes—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—84no—
558C22⋊C4—84no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C42—24no—
562C42—24no—
563C42—24no—
564C42—22no—
565C42—22no—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—48no—
571C42—48no—
572C23—24no—
573C23—24no—
574C23—48no—
575C23—48no—
576C23—48no—
577C23—48no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—48no—
583C23—48no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23#52512yes—
615C23#54612yes—
616C23#55012yes—
617C23C2×AGL(1,ℤ/8)12yes—
618C23C2×AGL(1,ℤ/8)12yes—
619C23#57612yes—
620C23#57712yes—
621C23C23×D411yescharacteristic
622D4—24no—
623D4—24no—
624D4—24no—
625D4—24no—
626D4—432no—
627D4—42no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—48no—
636D4—48no—
637D4—816no—
638D4—84no—
639C2×C4—28no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—28no—
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—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—48no—
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—816no—
678C2×C4—816no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4#52512yes—
684C2×C4#52914yes—
685C2×C4#53814yes—
686C2×C4#54612yes—
687C2×C4#55012yes—
688C2×C4#55114yes—
689C2×C4#55314yes—
690C2×C4C2×AGL(1,ℤ/8)14yes—
691C2×C4C2×AGL(1,ℤ/8)14yes—
692C2×C4C22×#4111yescharacteristic
693C2×C4C22×#4111yescharacteristic
694C2×C4C22×#4111yescharacteristic
695C2×C4C22×#4111yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×H(5,𝔽2)11yescharacteristic
698C8—24no—
699C8—42no—
700C8—42no—
701C8—42no—
702C22—44no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—44no—
708C22—816no—
709C22—816no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—168no—
726C22#246714yes—
727C22#310914yes—
728C22#311814yes—
729C22#331814yes—
730C22#333214yes—
731C22#339714yes—
732C22#339914yes—
733C22C2×#52511yescharacteristic
734C22C2×#54611yescharacteristic
735C22C2×#55011yescharacteristic
736C22C22×AGL(1,ℤ/8)11yescharacteristic
737C22C22×AGL(1,ℤ/8)11yescharacteristic
738C22C2×#57611yescharacteristic
739C22C2×#57711yescharacteristic
740C4—24no—
741C4—24no—
742C4—42no—
743C4—42no—
744C4—44no—
745C4—42no—
746C4—42no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4#246714yes—
752C4C2×#52911yescharacteristic
753C4C2×#53811yescharacteristic
754C4C2×#55111yescharacteristic
755C4C2×#55311yescharacteristic
756C2—84no—
757C2—84no—
758C2—162no—
759C2#2707918yesdirect product factor
760C2C2×#246711yescharacteristic
761C2C2×#310911yescharacteristic
762C2C2×#311811yescharacteristic
763C2C2×#331811yescharacteristic
764C2C2×#333211yescharacteristic
765C2C2×#339711yescharacteristic
766C2C2×#339911yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2011C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2512C2semidirect
2. C2×#2366C2semidirect
3. #27079C2direct (N × H)
4. C2×#2094C2semidirect
5. C2×#2054C2semidirect
6. C2×#2041C2semidirect
8. C2×#1972C2semidirect
9. C2×#1926C2semidirect
10. C2×#1926C2semidirect
11. C2×#1919C2semidirect
12. C2×#1917C2semidirect
13. C2×#1879C2semidirect
14. C2×#1879C2semidirect
15. C2×#1802C2semidirect
16. C2×#1762C2semidirect
37. #2512C22semidirect
41. #2366C22semidirect
56. #2094C22semidirect
57. #2054C22semidirect
58. #2041C22semidirect
60. #1972C22semidirect
61. #1926C22semidirect
62. #1926C22semidirect
63. #1919C22semidirect
64. #1917C22semidirect
65. #1879C22semidirect
66. #1879C22semidirect
67. #1802C22semidirect
68. #1762C22semidirect
759. C2#27079direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#25122
C2×#23662
#270792
C2×#20942
C2×#20542
C2×#20412
C2×#20112
C2×#19722
C2×#19262
C2×#19192
C2×#19172
C2×#18792
C2×#18022
C2×#17622