Finite Group Databasebeta

← C2×#26204 #6441819

Subgroups — C2×#26204 #6441819

Order 512.

2570 conjugacy classes of subgroups.

The subgroup lattice has 741 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2417C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic
3#26204C2116yesmaximal, direct product factor
4C2×#2100C211yesmaximal, characteristic, complemented
5C2×#2076C211yesmaximal, characteristic, complemented
6C2×#2072C211yesmaximal, characteristic, complemented
7C2×#2036C211yesmaximal, characteristic, complemented
8C2×#1928C211yesmaximal, characteristic, complemented
9C2×#1921C211yesmaximal, characteristic, complemented
10C2×#1892C211yesmaximal, characteristic, complemented
11C2×#1872C211yesmaximal, characteristic, complemented
12C2×#1872C211yesmaximal, characteristic, complemented
13C2×#1869C211yesmaximal, characteristic
14C2×#1852C211yesmaximal, characteristic, complemented
15C2×#1824C211yesmaximal, characteristic, complemented
16C22×#340C211yesmaximal, characteristic, complemented
17C24×C8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C22×#107C2211yescharacteristic
26C22×#107C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#103C2211yescharacteristic
30C22×#103C2211yescharacteristic
31C22×C22⋊C8C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34#2417—24no—
35#2417C2218yes—
36C2×#398—21no—
37C2×#396—21no—
38D4×C4⋊C4—24no—
39D4×C4⋊C4C2218yes—
40C2×#391C2211yescharacteristic
41C2×#389—21no—
42C2×#389C2211yescharacteristic
43C2×#386—21no—
44C2×#385—21no—
45C2×#385—21no—
46C2×#384C2211yescharacteristic
47C2×#380—21no—
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×C4×C4⋊C4C2211yescharacteristic
52#2100C2218yescomplemented
53#2076C2218yescomplemented
54#2072C2218yescomplemented
55#2036C2218yescomplemented
56#1928C2218yescomplemented
57#1921C2218yescomplemented
58#1892C2218yescomplemented
59#1872C2218yescomplemented
60#1872C2218yescomplemented
61#1869C2218yes—
62#1852C2218yescomplemented
63#1824C2218yescomplemented
64C2×#340C2211yescharacteristic
65C2×#340C2211yescharacteristic
66C2×#340C2211yescharacteristic
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2218yescomplemented
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8C2311yescharacteristic
78C23×D4D411yescharacteristic
79C24×C4—21no—
80C24×C4—21no—
81C24×C4—21no—
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C23×C8—24no—
85C23×C8—42no—
86C23×C8—42no—
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2314yes—
92C2×C22⋊Q8—22no—
93C2×C22⋊Q8—22no—
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—24no—
97C2×C22⋊Q8—42no—
98C2×C22⋊Q8C2314yes—
99C2×C22⋊Q8C2314yes—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4—28no—
103C2×C4×D4—48no—
104C2×C4×D4D414yes—
105C2×C4×D4C2314yes—
106C22×C4⋊C4—24no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—24no—
109C22×C4⋊C4—22no—
110C22×C4⋊C4—22no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—22no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—42no—
121C22×C4⋊C4—42no—
122C22×C4⋊C4—42no—
123C22×C4⋊C4D411yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2314yes—
130C22×C4⋊C4C2314yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C2×#107—24no—
144C2×#107—42no—
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#103—24no—
148C2×#103—42no—
149C2×#103—42no—
150C2×#103—42no—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×C22⋊C8—24no—
156C2×C22⋊C8—42no—
157C2×C22⋊C8—42no—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161#398—28no—
162#396—28no—
163#391—22no—
164#391C2314yes—
165#389—28no—
166#389—22no—
167#389C2314yes—
168#386—28no—
169#385—28no—
170#385—28no—
171#384—22no—
172#384C2314yes—
173#380—22no—
174#380—22no—
175#380—22no—
176#380—28no—
177#380C2314yes—
178#380C2314yes—
179#380C2314yes—
180C4×C4⋊C4—22no—
181C4×C4⋊C4C2314yes—
182C2×#95—21no—
183C2×#95—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189#340C2314yes—
190#340C2314yes—
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#336C2314yes—
200#336C2314yes—
201C25C2×D411yescharacteristic
202C25C2×D411yescharacteristic
203C22×Q8—21no—
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—22no—
207C22×Q8—22no—
208C22×Q8—22no—
209C22×Q8—22no—
210C22×Q8C2412yes—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4Q1618yes—
214C22×D4C2×D414yes—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—21no—
220C23×C4—21no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—21no—
230C23×C4—21no—
231C23×C4—21no—
232C23×C4—21no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4—44no—
239C23×C4—44no—
240C23×C4—44no—
241C23×C4—44no—
242C23×C4—82no—
243C23×C4—82no—
244C23×C4—82no—
245C23×C4C2×D412yes—
246C23×C4C2×D411yescharacteristic
247C23×C4C2×D411yescharacteristic
248C23×C4C2×D412yes—
249C23×C4C2×D411yescharacteristic
250C23×C4C2×D411yescharacteristic
251C23×C4#4114yes—
252C23×C4#4114yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2411yescharacteristic
256C22×C8—28no—
257C22×C8—22no—
258C22×C8—22no—
259C22×C8—22no—
260C22×C8—22no—
261C22×C8—22no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—44no—
270C22×C8—44no—
271C22×C8—416no—
272C22×C8C2412yes—
273C22×C8C2412yes—
274C22×C8C2412yes—
275C22×C8C2412yes—
276C22⋊Q8—28no—
277C22⋊Q8—28no—
278C22⋊Q8—28no—
279C22⋊Q8—44no—
280C22⋊Q8—48no—
281C22⋊Q8—48no—
282C4×D4—216no—
283C4×D4—28no—
284C4×D4—28no—
285C4×D4—432no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
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—28no—
302C2×C4⋊C4—28no—
303C2×C4⋊C4—28no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—48no—
321C2×C4⋊C4—48no—
322C2×C4⋊C4—48no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—82no—
330C2×C4⋊C4—82no—
331C2×C4⋊C4C2×D414yes—
332C2×C4⋊C4#4114yes—
333C2×C4⋊C4#4114yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—82no—
353C2×C22⋊C4C2×D414yes—
354C2×C22⋊C4C2×D414yes—
355C2×C42—22no—
356C2×C42—22no—
357C2×C42—24no—
358C2×C42—44no—
359C2×C42C2×D412yes—
360C2×C42C2412yes—
361#107—28no—
362#107—44no—
363#103—28no—
364#103—44no—
365#103—44no—
366#103—44no—
367C22⋊C8—28no—
368C22⋊C8—44no—
369C22⋊C8—44no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95—24no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24#12314yes—
388C24C2×Q1614yes—
389C24C2×Q1614yes—
390C24AGL(1,ℤ/8)14yes—
391C24C22×D412yes—
392C24C22×D412yes—
393C24C22×D411yescharacteristic
394C2×Q8—22no—
395C2×Q8—22no—
396C2×Q8—22no—
397C2×Q8—22no—
398C2×Q8—22no—
399C2×Q8—22no—
400C2×Q8—42no—
401C2×Q8—42no—
402C2×Q8—42no—
403C2×Q8—44no—
404C2×Q8—44no—
405C2×Q8—44no—
406C2×Q8—44no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—232no—
410C2×D4C2×Q16116yes—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—28no—
416C22×C4—28no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—28no—
420C22×C4—28no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—24no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—48no—
451C22×C4—48no—
452C22×C4—48no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—44no—
458C22×C4—44no—
459C22×C4—44no—
460C22×C4—44no—
461C22×C4—48no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—48no—
474C22×C4—48no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—84no—
483C22×C4—84no—
484C22×C4—84no—
485C22×C4—816no—
486C22×C4—816no—
487C22×C4—816no—
488C22×C4#12314yes—
489C22×C4#12318yes—
490C22×C4C2×Q1614yes—
491C22×C4C22×D412yes—
492C22×C4C22×D412yes—
493C22×C4C22×D412yes—
494C22×C4C22×D412yes—
495C22×C4C22×D411yescharacteristic
496C22×C4C2×#4114yes—
497C22×C4C2×#4114yes—
498C22×C4C2×#4112yes—
499C22×C4C2×#4112yes—
500C22×C4C2×#4112yes—
501C22×C4C2×#4112yes—
502C22×C4H(5,𝔽2)12yes—
503C22×C4H(5,𝔽2)12yes—
504C22×C4C2511yescharacteristic
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—416no—
518C2×C8—44no—
519C2×C8—44no—
520C2×C8—44no—
521C2×C8—44no—
522C4⋊C4—28no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—48no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—42no—
543C4⋊C4—48no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—84no—
549C4⋊C4—84no—
550C4⋊C4C2×#4114yes—
551C4⋊C4C2×#4114yes—
552C22⋊C4—28no—
553C22⋊C4—28no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—84no—
559C42—24no—
560C42—22no—
561C42—22no—
562C42—48no—
563C23—28no—
564C23—22no—
565C23—22no—
566C23—28no—
567C23—28no—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—22no—
572C23—22no—
573C23—28no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—28no—
578C23—28no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23#484116yes—
587C23C2×#12314yes—
588C23C2×#12312yes—
589C23#54612yes—
590C23#54612yes—
591C23C22×Q1614yes—
592C23C22×Q1614yes—
593C23C22×Q1612yes—
594C23C2×AGL(1,ℤ/8)14yes—
595C23C2×AGL(1,ℤ/8)12yes—
596C23#57712yes—
597C23#57712yes—
598C23C23×D411yescharacteristic
599Q8—42no—
600Q8—42no—
601Q8—42no—
602Q8—42no—
603Q8—84no—
604D4—232no—
605C2×C4—28no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—28no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—216no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—48no—
627C2×C4—48no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—816no—
656C2×C4—816no—
657C2×C4—816no—
658C2×C4—84no—
659C2×C4—84no—
660C2×C4—84no—
661C2×C4—84no—
662C2×C4—84no—
663C2×C4—84no—
664C2×C4C2×#12314yes—
665C2×C4C2×#12312yes—
666C2×C4#52914yes—
667C2×C4#53814yes—
668C2×C4#54612yes—
669C2×C4#54612yes—
670C2×C4#55314yes—
671C2×C4#55314yes—
672C2×C4C22×Q1614yes—
673C2×C4C22×#4111yescharacteristic
674C2×C4C22×#4111yescharacteristic
675C2×C4C22×#4111yescharacteristic
676C2×C4C22×#4111yescharacteristic
677C2×C4C2×H(5,𝔽2)11yescharacteristic
678C2×C4C2×H(5,𝔽2)11yescharacteristic
679C8—42no—
680C8—42no—
681C8—42no—
682C8—42no—
683C22—232no—
684C22—24no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—24no—
691C22—24no—
692C22—24no—
693C22—416no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22#244414yes—
699C22C2×#48418yes—
700C22C2×#48414yes—
701C22#309914yes—
702C22#329914yes—
703C22#329914yes—
704C22#330614yes—
705C22#331014yes—
706C22C22×#12311yescharacteristic
707C22C2×#54611yescharacteristic
708C22C2×#54611yescharacteristic
709C22C23×Q1611yescharacteristic
710C22C22×AGL(1,ℤ/8)11yescharacteristic
711C22C2×#57711yescharacteristic
712C22C2×#57711yescharacteristic
713C4—24no—
714C4—24no—
715C4—42no—
716C4—42no—
717C4—44no—
718C4—44no—
719C4—82no—
720C4—82no—
721C4—82no—
722C4—82no—
723C4—82no—
724C4—82no—
725C4#244414yes—
726C4C2×#52911yescharacteristic
727C4C2×#53811yescharacteristic
728C4C2×#55311yescharacteristic
729C4C2×#55311yescharacteristic
730C2—28no—
731C2—44no—
732C2#2620418yesdirect product factor
733C2C2×#244411yescharacteristic
734C2C22×#48411yescharacteristic
735C2C2×#309911yescharacteristic
736C2C2×#329911yescharacteristic
737C2C2×#329911yescharacteristic
738C2C2×#330611yescharacteristic
739C2C2×#331011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #26204C2direct (N × H)
4. C2×#2100C2semidirect
5. C2×#2076C2semidirect
6. C2×#2072C2semidirect
7. C2×#2036C2semidirect
8. C2×#1928C2semidirect
9. C2×#1921C2semidirect
10. C2×#1892C2semidirect
11. C2×#1872C2semidirect
12. C2×#1872C2semidirect
14. C2×#1852C2semidirect
15. C2×#1824C2semidirect
16. C22×#340C2semidirect
52. #2100C22semidirect
53. #2076C22semidirect
54. #2072C22semidirect
55. #2036C22semidirect
56. #1928C22semidirect
57. #1921C22semidirect
58. #1892C22semidirect
59. #1872C22semidirect
60. #1872C22semidirect
62. #1852C22semidirect
63. #1824C22semidirect
74. C2×#340C22semidirect
732. C2#26204direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24172
C2×D4×C4⋊C42
#262042
C2×#21002
C2×#20762
C2×#20722
C2×#20362
C2×#19282
C2×#19212
C2×#18922
C2×#18722
C2×#18692
C2×#18522
C2×#18242
C22×#3402