Finite Group Databasebeta

← C2×#26843 #6443876

Subgroups — C2×#26843 #6443876

Order 512.

2710 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×#490C211yesmaximal, characteristic, complemented
2C22×#442C211yesmaximal, characteristic, complemented
3C2×#2454C211yesmaximal, characteristic, complemented
4C2×#2445C211yesmaximal, characteristic, complemented
5#26843C2116yesmaximal, direct product factor
6C2×#2065C211yesmaximal, characteristic, complemented
7C2×#2059C211yesmaximal, characteristic, complemented
8C2×#2054C211yesmaximal, characteristic, complemented
9C2×#2011C211yesmaximal, characteristic
10C2×#1970C211yesmaximal, characteristic, complemented
11C2×#1936C211yesmaximal, characteristic, complemented
12C2×#1936C211yesmaximal, characteristic, complemented
13C2×#1934C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1862C211yesmaximal, characteristic, complemented
16C2×#1770C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×#127C2211yescharacteristic
20C22×#125C2211yescharacteristic
21C22×#123—21no—
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C2×#490—28no—
25C2×#490C2218yescomplemented
26C2×#442—28no—
27C2×#442C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#106C2211yescharacteristic
30C22×C4⋊C8C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#97C2211yescharacteristic
40C22×#97C2211yescharacteristic
41C22×C4×C8C2211yescharacteristic
42#2454—24no—
43#2454C2218yescomplemented
44#2445—24no—
45#2445C2218yescomplemented
46C2×#399—21no—
47C2×#396—21no—
48C2×#394—21no—
49C2×#394—21no—
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#389C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#386—21no—
59C2×#385—21no—
60C2×#380—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2065C2218yescomplemented
63#2059C2218yescomplemented
64#2054C2218yescomplemented
65#2011C2218yes—
66#1970C2218yescomplemented
67#1936C2218yescomplemented
68#1936C2218yescomplemented
69#1934C2218yescomplemented
70#1879C2218yescomplemented
71#1862C2218yescomplemented
72#1770C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×D4—21no—
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4—21no—
86C22×D8—24no—
87C22×D8—24no—
88C22×D8—24no—
89C22×D8—24no—
90C22×D8—24no—
91C22×D8—42no—
92C22×D8C2314yes—
93C22×D8C2314yes—
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C2×#127—24no—
99C2×#127—22no—
100C2×#127—42no—
101C2×#127C2314yes—
102C2×#125—24no—
103C2×#125—22no—
104C2×#125—42no—
105C2×#125C2314yes—
106C2×#123—28no—
107C2×#123—48no—
108C2×C4×D4—24no—
109C2×C4×D4—24no—
110C2×C4×D4—22no—
111C2×C4×D4—22no—
112C2×C4×D4—42no—
113C2×C4×D4—42no—
114C2×C4×D4C2314yes—
115C2×C4×D4C2314yes—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4D411yescharacteristic
122C22×C4⋊C4D411yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143#490—232no—
144#442—232no—
145C2×#107—42no—
146C2×#107C2314yes—
147C2×#106—24no—
148C2×#106C2314yes—
149C2×C4⋊C8—24no—
150C2×C4⋊C8C2314yes—
151C2×#102—24no—
152C2×#102—24no—
153C2×#102—24no—
154C2×#102—24no—
155C2×#102—24no—
156C2×#102—24no—
157C2×#102—24no—
158C2×#102D418yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#97—24no—
168C2×#97—24no—
169C2×#97C2314yes—
170C2×#97C2314yes—
171C2×C4×C8—24no—
172C2×C4×C8C2314yes—
173#399—28no—
174#396—28no—
175#394—28no—
176#394—28no—
177#390—22no—
178#390—22no—
179#390—22no—
180#390—22no—
181#390—22no—
182#390C2314yes—
183#390C2314yes—
184#390C2314yes—
185#390C2314yes—
186#390C2314yes—
187#389—22no—
188#389—22no—
189#389—22no—
190#389C2314yes—
191#389C2314yes—
192#389C2314yes—
193#386—28no—
194#385—28no—
195#380—28no—
196C4×C4⋊C4D414yes—
197C4×C4⋊C4C2314yes—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95D411yescharacteristic
202C2×#95D411yescharacteristic
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#336C2314yes—
208#336C2314yes—
209C25—21no—
210C25—21no—
211C25—21no—
212C22×D4—22no—
213C22×D4—21no—
214C22×D4—21no—
215C22×D4—22no—
216C22×D4—21no—
217C22×D4—24no—
218C22×D4—24no—
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—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—44no—
236C22×D4—44no—
237C22×D4—82no—
238C22×D4—82no—
239C22×D4C2×D414yes—
240C22×D4#4114yes—
241C22×D4C2412yes—
242C22×D4C2412yes—
243C22×D4C2412yes—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—44no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—44no—
255C23×C4—82no—
256C23×C4—82no—
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2411yescharacteristic
264C2×D8—232no—
265C2×D8—28no—
266C2×D8—28no—
267C2×D8—28no—
268C2×D8—28no—
269C2×D8—28no—
270C2×D8—44no—
271C2×D8—416no—
272C22×C8—22no—
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×C8C2×D414yes—
282C22×C8#4114yes—
283C22×C8#4114yes—
284C22×C8C2412yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288#127—28no—
289#127—44no—
290#127—48no—
291#125—28no—
292#125—44no—
293#125—48no—
294#123—432no—
295C4×D4—28no—
296C4×D4—28no—
297C4×D4—44no—
298C4×D4—44no—
299C4×D4—48no—
300C4×D4—48no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—42no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—82no—
326C2×C4⋊C4—82no—
327C2×C4⋊C4C2×D414yes—
328C2×C4⋊C4C2×D414yes—
329C2×C4⋊C4C2×D414yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
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—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—82no—
354C2×C22⋊C4—82no—
355C2×C22⋊C4—82no—
356C2×C22⋊C4—82no—
357C2×C22⋊C4—82no—
358C2×C22⋊C4—82no—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42C2×D412yes—
366C2×C42C2×D412yes—
367C2×C42C2×D412yes—
368C2×C42C2412yes—
369C2×C42C2412yes—
370C2×C42C2412yes—
371#107—44no—
372#106—28no—
373C4⋊C8—28no—
374#102—28no—
375#102—28no—
376#102—28no—
377#102—28no—
378#102—28no—
379#102—28no—
380#102—28no—
381#102C2×D4116yes—
382#97—28no—
383#97—28no—
384C4×C8—28no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95C2×D414yes—
389#95C2×D414yes—
390C24—24no—
391C24—24no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24C22×D411yescharacteristic
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—24no—
418C2×D4—28no—
419C2×D4—24no—
420C2×D4—28no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
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—48no—
440C2×D4—48no—
441C2×D4—44no—
442C2×D4—42no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—42no—
449C2×D4—42no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—84no—
457C2×D4—84no—
458C2×D4—816no—
459C2×D4—816no—
460C2×D4C22×D414yes—
461C2×D4C2×#4114yes—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
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—22no—
484C22×C4—22no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—48no—
489C22×C4—42no—
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—84no—
504C22×C4—84no—
505C22×C4—816no—
506C22×C4—816no—
507C22×C4AGL(1,ℤ/8)14yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C2×#4112yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4H(5,𝔽2)12yes—
520C22×C42−1+412yes—
521C22×C4C2511yescharacteristic
522D8—232no—
523D8—416no—
524C2×C8—28no—
525C2×C8—28no—
526C2×C8—28no—
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—44no—
537C2×C8C22×D414yes—
538C2×C8C2×#4114yes—
539C2×C8C2×#4114yes—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—22no—
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—44no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—84no—
560C4⋊C4—84no—
561C4⋊C4C22×D414yes—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—84no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C42—24no—
575C42—24no—
576C42—24no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C23—24no—
584C23—24no—
585C23—48no—
586C23—48no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—48no—
592C23—48no—
593C23—48no—
594C23—48no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23#53212yes—
626C23D4212yes—
627C23#54812yes—
628C23C2×AGL(1,ℤ/8)12yes—
629C23#57512yes—
630C23#57612yes—
631C23#57612yes—
632C23C23×D411yescharacteristic
633D4—24no—
634D4—24no—
635D4—24no—
636D4—24no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—48no—
646D4—48no—
647D4—816no—
648D4—816no—
649D4—84no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—48no—
673C2×C4—44no—
674C2×C4—44no—
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—816no—
690C2×C4—816no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4#52514yes—
696C2×C4#53212yes—
697C2×C4#54214yes—
698C2×C4D4212yes—
699C2×C4#54714yes—
700C2×C4#54812yes—
701C2×C4#55114yes—
702C2×C4C2×AGL(1,ℤ/8)14yes—
703C2×C4C23×D411yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C2×H(5,𝔽2)11yescharacteristic
708C2×C4C2×2−1+411yescharacteristic
709C8—24no—
710C8—24no—
711C8—24no—
712C8—42no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—816no—
728C22—816no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—168no—
737C22#246114yes—
738C22#317614yes—
739C22#318014yes—
740C22#327314yes—
741C22#327414yes—
742C22#336614yes—
743C22#337014yes—
744C22C2×#53211yescharacteristic
745C22C2×D4211yescharacteristic
746C22C2×#54811yescharacteristic
747C22C22×AGL(1,ℤ/8)11yescharacteristic
748C22C2×#57511yescharacteristic
749C22C2×#57611yescharacteristic
750C22C2×#57611yescharacteristic
751C4—24no—
752C4—42no—
753C4—42no—
754C4—42no—
755C4—44no—
756C4—42no—
757C4—42no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#246114yes—
763C4C2×#52511yescharacteristic
764C4C2×#54211yescharacteristic
765C4C2×#54711yescharacteristic
766C4C2×#55111yescharacteristic
767C2—84no—
768C2—84no—
769C2—162no—
770C2#2684318yesdirect product factor
771C2C2×#246111yescharacteristic
772C2C2×#317611yescharacteristic
773C2C2×#318011yescharacteristic
774C2C2×#327311yescharacteristic
775C2C2×#327411yescharacteristic
776C2C2×#336611yescharacteristic
777C2C2×#337011yescharacteristic
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. C22×#490C2semidirect
2. C22×#442C2semidirect
3. C2×#2454C2semidirect
4. C2×#2445C2semidirect
5. #26843C2direct (N × H)
6. C2×#2065C2semidirect
7. C2×#2059C2semidirect
8. C2×#2054C2semidirect
10. C2×#1970C2semidirect
11. C2×#1936C2semidirect
12. C2×#1936C2semidirect
13. C2×#1934C2semidirect
14. C2×#1879C2semidirect
15. C2×#1862C2semidirect
16. C2×#1770C2semidirect
25. C2×#490C22semidirect
27. C2×#442C22semidirect
43. #2454C22semidirect
45. #2445C22semidirect
62. #2065C22semidirect
63. #2059C22semidirect
64. #2054C22semidirect
66. #1970C22semidirect
67. #1936C22semidirect
68. #1936C22semidirect
69. #1934C22semidirect
70. #1879C22semidirect
71. #1862C22semidirect
72. #1770C22semidirect
770. C2#26843direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4902
C22×#4422
C2×#24542
C2×#24452
#268432
C2×#20652
C2×#20592
C2×#20542
C2×#20112
C2×#19702
C2×#19362
C2×#19342
C2×#18792
C2×#18622
C2×#17702