Finite Group Databasebeta

← C2×#27525 #6440948

Subgroups — C2×#27525 #6440948

Order 512.

3264 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2494C211yesmaximal, characteristic, complemented
2C2×D4×C22⋊C4C211yesmaximal, characteristic
3#27525C2116yesmaximal, direct product factor
4C2×#2076C211yesmaximal, characteristic, complemented
5C2×#2077C211yesmaximal, characteristic, complemented
6C2×#2073C211yesmaximal, characteristic, complemented
7C2×#2067C211yesmaximal, characteristic, complemented
8C2×#1934C211yesmaximal, characteristic, complemented
9C2×#1926C211yesmaximal, characteristic, complemented
10C2×#1923C211yesmaximal, characteristic, complemented
11C2×#1864C211yesmaximal, characteristic, complemented
12C2×#1862C211yesmaximal, characteristic, complemented
13C2×#1804C211yesmaximal, characteristic, complemented
14C2×#1786C211yesmaximal, characteristic
15C2×#1786C211yesmaximal, characteristic
16C2×C4×#102C211yesmaximal, characteristic, complemented
17C24×D4C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C23×C22⋊C4—21no—
21C22×#107C2211yescharacteristic, complemented
22C22×#106C2211yescharacteristic, complemented
23C22×C4⋊C8C2211yescharacteristic, complemented
24C22×#102C2211yescharacteristic
25C22×#102C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34C22×C4×C8C2211yescharacteristic, complemented
35#2494—24no—
36#2494C2218yescomplemented
37C2×#401—21no—
38C2×#397—21no—
39D4×C22⋊C4—24no—
40D4×C22⋊C4C2218yes—
41C2×#390C2211yescharacteristic
42C2×#390C2211yescharacteristic
43C2×#389C2211yescharacteristic, complemented
44C2×#389C2211yescharacteristic, complemented
45C2×#388—21no—
46C2×#387—21no—
47C2×#386—21no—
48C2×#386—21no—
49C2×#382C2211yescharacteristic, complemented
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#380C2211yescharacteristic
53C2×#379—21no—
54C2×C4×C4⋊C4C2211yescharacteristic, complemented
55C2×C4×C22⋊C4C2211yescharacteristic
56#2077C2218yescomplemented
57#2076C2218yescomplemented
58#2073C2218yescomplemented
59#2067C2218yescomplemented
60#1934C2218yescomplemented
61#1926C2218yescomplemented
62#1923C2218yescomplemented
63#1864C2218yescomplemented
64#1862C2218yescomplemented
65#1804C2218yescomplemented
66#1786C2218yes—
67#1786C2218yes—
68C4×#102C2218yescomplemented
69C2×#340C2211yescharacteristic, complemented
70C2×#340C2211yescharacteristic, complemented
71C2×#340C2211yescharacteristic, complemented
72C2×#340C2211yescharacteristic, complemented
73C2×#340C2211yescharacteristic, complemented
74C2×#340C2211yescharacteristic, complemented
75C2×#336C2211yescharacteristic, complemented
76C2×#336C2211yescharacteristic, complemented
77C26—21no—
78C23×D4—24no—
79C23×D4—24no—
80C23×D4—24no—
81C23×D4—24no—
82C23×D4—22no—
83C23×D4—21no—
84C23×D4—42no—
85C23×D4—42no—
86C23×D4C2311yescharacteristic
87C23×D4C2314yes—
88C23×D4C2311yescharacteristic
89C24×C4—21no—
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C2×C4×D4—24no—
97C2×C4×D4—24no—
98C2×C4×D4—22no—
99C2×C4×D4—22no—
100C2×C4×D4—42no—
101C2×C4×D4—42no—
102C2×C4×D4C2314yes—
103C2×C4×D4C2314yes—
104C22×C4⋊C4—21no—
105C22×C4⋊C4—21no—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C22⋊C4—21no—
113C22×C22⋊C4—21no—
114C22×C22⋊C4—21no—
115C22×C22⋊C4—21no—
116C22×C22⋊C4—21no—
117C22×C22⋊C4—21no—
118C22×C22⋊C4—21no—
119C22×C22⋊C4—21no—
120C22×C22⋊C4—21no—
121C22×C22⋊C4—28no—
122C22×C22⋊C4—48no—
123C22×C22⋊C4D411yescharacteristic
124C22×C22⋊C4D411yescharacteristic
125C22×C42—21no—
126C22×C42C2311yescharacteristic
127C22×C42C2311yescharacteristic
128C2×#107—42no—
129C2×#107C2314yescomplemented
130C2×#106—42no—
131C2×#106C2314yescomplemented
132C2×C4⋊C8—42no—
133C2×C4⋊C8C2314yescomplemented
134C2×#102—24no—
135C2×#102—24no—
136C2×#102—24no—
137C2×#102—24no—
138C2×#102—24no—
139C2×#102—24no—
140C2×#102—42no—
141C2×#102—42no—
142C2×#102C2314yes—
143C2×#102C2314yes—
144C2×#102C2314yes—
145C2×#102C2314yes—
146C2×#102C2314yes—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×C22⋊C8—42no—
151C2×C22⋊C8—42no—
152C2×C22⋊C8C2314yes—
153C2×C22⋊C8C2314yes—
154C2×C4×C8—42no—
155C2×C4×C8C2314yescomplemented
156#401—28no—
157#397—28no—
158#390—22no—
159#390—22no—
160#390C2314yes—
161#390C2314yes—
162#389—22no—
163#389—22no—
164#389C2314yescomplemented
165#389C2314yescomplemented
166#388—28no—
167#387—28no—
168#386—28no—
169#386—28no—
170#382—22no—
171#382C2314yescomplemented
172#380—22no—
173#380—22no—
174#380—22no—
175#380C2314yes—
176#380C2314yes—
177#380C2314yes—
178#379—28no—
179C4×C4⋊C4—22no—
180C4×C4⋊C4C2314yescomplemented
181C4×C22⋊C4D414yes—
182C4×C22⋊C4C2314yes—
183C2×#95—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95—21no—
190C2×#95—21no—
191C2×#95D411yescharacteristic
192C2×#95D411yescharacteristic
193#340C2314yescomplemented
194#340C2314yescomplemented
195#340C2314yescomplemented
196#340C2314yescomplemented
197#340C2314yescomplemented
198#340C2314yescomplemented
199#336C2314yescomplemented
200#336C2314yescomplemented
201C25—21no—
202C25—28no—
203C25—21no—
204C25—24no—
205C25—44no—
206C25—44no—
207C25—44no—
208C25—44no—
209C25—82no—
210C25—82no—
211C25C2×D411yescharacteristic
212C22×D4—28no—
213C22×D4—216no—
214C22×D4—28no—
215C22×D4—28no—
216C22×D4—28no—
217C22×D4—28no—
218C22×D4—21no—
219C22×D4—24no—
220C22×D4—21no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4—48no—
232C22×D4—48no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—416no—
236C22×D4—416no—
237C22×D4—416no—
238C22×D4—416no—
239C22×D4#4114yes—
240C22×D4#4114yes—
241C22×D4#4114yes—
242C22×D4#4114yes—
243C22×D4C2412yes—
244C22×D4C2412yes—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—24no—
258C23×C4—24no—
259C23×C4—44no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—82no—
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
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C4×D4—28no—
290C4×D4—28no—
291C4×D4—44no—
292C4×D4—44no—
293C4×D4—48no—
294C4×D4—48no—
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—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—82no—
317C2×C4⋊C4C2412yes—
318C2×C4⋊C4C2412yes—
319C2×C4⋊C4C2412yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
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—432no—
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—82no—
342C2×C22⋊C4—82no—
343C2×C22⋊C4—82no—
344C2×C22⋊C4C2×D414yes—
345C2×C22⋊C4C2×D414yes—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—24no—
351C2×C42—82no—
352C2×C42C2×D412yes—
353C2×C42C2×D412yes—
354C2×C42C2412yes—
355C2×C42C2412yes—
356#107—44no—
357#106—44no—
358C4⋊C8—44no—
359#102—28no—
360#102—28no—
361#102—28no—
362#102—28no—
363#102—28no—
364#102—28no—
365#102—44no—
366#102—44no—
367C22⋊C8—44no—
368C22⋊C8—44no—
369C4×C8—44no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95C2×D414yes—
379#95C2×D414yes—
380C24—22no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—216no—
391C24—24no—
392C24—22no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—432no—
397C24—432no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—48no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—84no—
410C24—84no—
411C24—816no—
412C24—816no—
413C24—816no—
414C24—816no—
415C24—816no—
416C24#13514yes—
417C24C22×D412yes—
418C24C22×D411yescharacteristic
419C2×D4—216no—
420C2×D4—24no—
421C2×D4—24no—
422C2×D4—28no—
423C2×D4—24no—
424C2×D4—24no—
425C2×D4—28no—
426C2×D4—28no—
427C2×D4—28no—
428C2×D4—28no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—416no—
440C2×D4—416no—
441C2×D4—416no—
442C2×D4—464no—
443C2×D4—432no—
444C2×D4—416no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4#126116yes—
450C2×D4C2×#4114yes—
451C2×D4C2×#4114yes—
452C2×D4C2×#4114yes—
453C2×D4C2×#4114yes—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
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—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
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—22no—
482C22×C4—22no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
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—42no—
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—84no—
510C22×C4—84no—
511C22×C4—816no—
512C22×C4—816no—
513C22×C4AGL(1,ℤ/8)14yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4H(5,𝔽2)12yes—
526C22×C4C2511yescharacteristic
527C2×C8—22no—
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—22no—
539C2×C8—44no—
540C2×C8—44no—
541C2×C8—44no—
542C2×C8—44no—
543C4⋊C4—22no—
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—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—48no—
562C4⋊C4—84no—
563C22⋊C4—28no—
564C22⋊C4—28no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C42—24no—
575C42—24no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—84no—
581C23—28no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—22no—
587C23—22no—
588C23—216no—
589C23—28no—
590C23—28no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—432no—
596C23—432no—
597C23—48no—
598C23—44no—
599C23—48no—
600C23—44no—
601C23—48no—
602C23—48no—
603C23—48no—
604C23—44no—
605C23—42no—
606C23—42no—
607C23—48no—
608C23—44no—
609C23—42no—
610C23—42no—
611C23—48no—
612C23—48no—
613C23—42no—
614C23—42no—
615C23—48no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—816no—
621C23—816no—
622C23—816no—
623C23—8128no—
624C23—816no—
625C23—816no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23#52512yes—
631C23#54612yes—
632C23#54612yes—
633C23C2×#13514yes—
634C23C2×#13512yes—
635C23C2×AGL(1,ℤ/8)12yes—
636C23#57612yes—
637C23#57712yes—
638C23C23×D411yescharacteristic
639D4—24no—
640D4—24no—
641D4—24no—
642D4—24no—
643D4—24no—
644D4—216no—
645D4—432no—
646D4—42no—
647D4—42no—
648D4—48no—
649D4C2×#12618yes—
650C2×C4—22no—
651C2×C4—28no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—48no—
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—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—816no—
693C2×C4—816no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4—84no—
700C2×C4#52512yes—
701C2×C4C2×#12614yes—
702C2×C4#53814yes—
703C2×C4#54612yes—
704C2×C4#54612yes—
705C2×C4#55114yes—
706C2×C4#55114yes—
707C2×C4C2×AGL(1,ℤ/8)14yes—
708C2×C4C22×#4111yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C22×#4111yescharacteristic
711C2×C4C22×#4111yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C2×C4C2×H(5,𝔽2)11yescharacteristic
714C8—42no—
715C8—42no—
716C8—42no—
717C8—42no—
718C22—28no—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—42no—
723C22—44no—
724C22—42no—
725C22—44no—
726C22—416no—
727C22—432no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—42no—
732C22—44no—
733C22—42no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—864no—
738C22—816no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22#248014yes—
744C22#310514yes—
745C22#311814yes—
746C22#329614yes—
747C22#329714yes—
748C22#331814yes—
749C22#332414yes—
750C22C2×#52511yescharacteristic
751C22C2×#54611yescharacteristic
752C22C2×#54611yescharacteristic
753C22C22×#13511yescharacteristic
754C22C22×AGL(1,ℤ/8)11yescharacteristic
755C22C2×#57611yescharacteristic
756C22C2×#57711yescharacteristic
757C4—24no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4#248014yes—
769C4C22×#12611yescharacteristic
770C4C2×#53811yescharacteristic
771C4C2×#55111yescharacteristic
772C4C2×#55111yescharacteristic
773C2—44no—
774C2—48no—
775C2—84no—
776C2#2752518yesdirect product factor
777C2C2×#248011yescharacteristic
778C2C2×#310511yescharacteristic
779C2C2×#311811yescharacteristic
780C2C2×#329611yescharacteristic
781C2C2×#329711yescharacteristic
782C2C2×#331811yescharacteristic
783C2C2×#332411yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC24×D4C22
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. C2×#2494C2semidirect
3. #27525C2direct (N × H)
4. C2×#2076C2semidirect
5. C2×#2077C2semidirect
6. C2×#2073C2semidirect
7. C2×#2067C2semidirect
8. C2×#1934C2semidirect
9. C2×#1926C2semidirect
10. C2×#1923C2semidirect
11. C2×#1864C2semidirect
12. C2×#1862C2semidirect
13. C2×#1804C2semidirect
16. C2×C4×#102C2semidirect
21. C22×#107C22semidirect
22. C22×#106C22semidirect
23. C22×C4⋊C8C22semidirect
34. C22×C4×C8C22semidirect
36. #2494C22semidirect
43. C2×#389C22semidirect
44. C2×#389C22semidirect
49. C2×#382C22semidirect
54. C2×C4×C4⋊C4C22semidirect
56. #2077C22semidirect
57. #2076C22semidirect
58. #2073C22semidirect
59. #2067C22semidirect
60. #1934C22semidirect
61. #1926C22semidirect
62. #1923C22semidirect
63. #1864C22semidirect
64. #1862C22semidirect
65. #1804C22semidirect
68. C4×#102C22semidirect
69. C2×#340C22semidirect
70. C2×#340C22semidirect
71. C2×#340C22semidirect
72. C2×#340C22semidirect
73. C2×#340C22semidirect
74. C2×#340C22semidirect
75. C2×#336C22semidirect
76. C2×#336C22semidirect
129. C2×#107C23semidirect
131. C2×#106C23semidirect
133. C2×C4⋊C8C23semidirect
155. C2×C4×C8C23semidirect
164. #389C23semidirect
165. #389C23semidirect
171. #382C23semidirect
180. C4×C4⋊C4C23semidirect
193. #340C23semidirect
194. #340C23semidirect
195. #340C23semidirect
196. #340C23semidirect
197. #340C23semidirect
198. #340C23semidirect
199. #336C23semidirect
200. #336C23semidirect
776. C2#27525direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24942
C2×D4×C22⋊C42
#275252
C2×#20762
C2×#20772
C2×#20732
C2×#20672
C2×#19342
C2×#19262
C2×#19232
C2×#18642
C2×#18622
C2×#18042
C2×#17862
C2×C4×#1022