Finite Group Databasebeta

← C2×#26797 #6443750

Subgroups — C2×#26797 #6443750

Order 512.

2684 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#482C211yesmaximal, characteristic, complemented
2C22×#476C211yesmaximal, characteristic, complemented
3C2×#2491C211yesmaximal, characteristic, complemented
4C2×#2363C211yesmaximal, characteristic, complemented
5#26797C2116yesmaximal, direct product factor
6C2×#2065C211yesmaximal, characteristic, complemented
7C2×#2057C211yesmaximal, characteristic, complemented
8C2×#2034C211yesmaximal, characteristic, complemented
9C2×#1999C211yesmaximal, characteristic
10C2×#1970C211yesmaximal, characteristic, complemented
11C2×#1926C211yesmaximal, characteristic, complemented
12C2×#1925C211yesmaximal, characteristic, complemented
13C2×#1923C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1854C211yesmaximal, characteristic, complemented
16C2×C4×#106C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C22×C4⋊Q8C2211yescharacteristic
19C22×#124—21no—
20C22×#121C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C2×#482—28no—
25C2×#482C2218yescomplemented
26C2×#476—28no—
27C2×#476C2218yescomplemented
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×#106C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2491—24no—
44#2491C2218yescomplemented
45C2×#394—21no—
46C2×#393—21no—
47#2363—24no—
48#2363C2218yescomplemented
49C2×#390—21no—
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#388—21no—
55C2×#388—21no—
56C2×#386—21no—
57C2×#380C2211yescharacteristic
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×C4×C4⋊C4C2211yescharacteristic
60C2×C4×C22⋊C4—21no—
61C2×C4×C22⋊C4C2211yescharacteristic
62#2065C2218yescomplemented
63#2057C2218yescomplemented
64#2034C2218yescomplemented
65#1999C2218yes—
66#1970C2218yescomplemented
67#1926C2218yescomplemented
68#1925C2218yescomplemented
69#1923C2218yescomplemented
70#1879C2218yescomplemented
71#1854C2218yescomplemented
72C4×#106C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C24×C4—21no—
85C24×C4C2311yescharacteristic
86C22×D8—24no—
87C22×D8—24no—
88C22×D8—42no—
89C22×D8C2314yes—
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C2×C4⋊Q8—24no—
95C2×C4⋊Q8—22no—
96C2×C4⋊Q8—42no—
97C2×C4⋊Q8C2314yes—
98C2×#124—28no—
99C2×#124—48no—
100C2×#121—24no—
101C2×#121—22no—
102C2×#121—22no—
103C2×#121—24no—
104C2×#121—24no—
105C2×#121—42no—
106C2×#121C2314yes—
107C2×#121C2314yes—
108C2×C4×D4—24no—
109C2×C4×D4—22no—
110C2×C4×D4—42no—
111C2×C4×D4C2314yes—
112C2×#117—22no—
113C2×#117—24no—
114C2×#117—42no—
115C2×#117C2314yes—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
135C22×C22⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42—21no—
138C22×C42—21no—
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#482—232no—
143#476—232no—
144C2×#107—24no—
145C2×#107—42no—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×#106—24no—
149C2×#106—24no—
150C2×#106D418yescomplemented
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×C4⋊C8—24no—
155C2×C4⋊C8C2314yes—
156C2×#102—24no—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102—24no—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×C22⋊C8—24no—
169C2×C22⋊C8—24no—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×C4×C8—24no—
173C2×C4×C8C2314yes—
174#394—28no—
175#393—28no—
176#390—28no—
177#390—22no—
178#390—22no—
179#390—22no—
180#390C2314yes—
181#390C2314yes—
182#390C2314yes—
183#389—22no—
184#389C2314yes—
185#388—28no—
186#388—28no—
187#386—28no—
188#380—22no—
189#380C2314yes—
190C4×C4⋊C4—22no—
191C4×C4⋊C4—22no—
192C4×C4⋊C4C2314yes—
193C4×C4⋊C4C2314yes—
194C4×C22⋊C4—28no—
195C4×C22⋊C4D414yes—
196C4×C22⋊C4C2314yes—
197C2×#95—21no—
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—
211C25C2×D411yescharacteristic
212C22×Q8—24no—
213C22×Q8—44no—
214C22×Q8—44no—
215C22×Q8—82no—
216C22×D4—28no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—22no—
220C22×D4—21no—
221C22×D4—22no—
222C22×D4—21no—
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—44no—
233C22×D4—44no—
234C22×D4—82no—
235C22×D4—82no—
236C22×D4—82no—
237C22×D4#4114yes—
238C22×D4C2412yes—
239C22×D4C2412yes—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—24no—
253C23×C4—44no—
254C23×C4—44no—
255C23×C4—82no—
256C23×C4C2×D412yes—
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
264C2×D8—28no—
265C2×D8—28no—
266C2×D8—44no—
267C2×D8—416no—
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—22no—
277C22×C8—22no—
278C22×C8C2×D414yes—
279C22×C8#4114yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284C4⋊Q8—28no—
285C4⋊Q8—44no—
286C4⋊Q8—48no—
287#124—432no—
288#121—216no—
289#121—28no—
290#121—28no—
291#121—28no—
292#121—44no—
293#121—48no—
294C4×D4—28no—
295C4×D4—44no—
296C4×D4—48no—
297#117—28no—
298#117—44no—
299#117—48no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
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—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—82no—
319C2×C4⋊C4C2×D414yes—
320C2×C4⋊C4C2×D414yes—
321C2×C4⋊C4#4114yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C4⋊C4C2412yes—
326C2×C4⋊C4C2412yes—
327C2×C4⋊C4C2412yes—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
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—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—82no—
351C2×C22⋊C4—82no—
352C2×C22⋊C4C2×D414yes—
353C2×C22⋊C4C2×D414yes—
354C2×C42—22no—
355C2×C42—22no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—44no—
362C2×C42—44no—
363C2×C42—82no—
364C2×C42C2×D412yes—
365C2×C42C2×D412yes—
366C2×C42C2412yes—
367C2×C42C2412yes—
368#107—28no—
369#107—44no—
370#106—28no—
371#106—28no—
372#106C2×D4116yescomplemented
373C4⋊C8—28no—
374#102—28no—
375#102—28no—
376#102—28no—
377#102—28no—
378#102—28no—
379#102—28no—
380C22⋊C8—28no—
381C22⋊C8—28no—
382C4×C8—28no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95—24no—
387#95C2×D414yes—
388#95C2×D414yes—
389C24—24no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
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—
412C24C22×D412yes—
413C24C22×D411yescharacteristic
414C2×Q8—48no—
415C2×Q8—48no—
416C2×Q8—84no—
417C2×Q8—816no—
418C2×D4—216no—
419C2×D4—24no—
420C2×D4—28no—
421C2×D4—28no—
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—48no—
434C2×D4—48no—
435C2×D4—42no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—42no—
441C2×D4—42no—
442C2×D4—42no—
443C2×D4—42no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—84no—
447C2×D4—84no—
448C2×D4—84no—
449C2×D4—816no—
450C2×D4—816no—
451C2×D4C2×#4114yes—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
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—24no—
472C22×C4—24no—
473C22×C4—24no—
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—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—44no—
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—48no—
504C22×C4—84no—
505C22×C4—816no—
506C22×C4#13514yes—
507C22×C4AGL(1,ℤ/8)14yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D412yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4112yes—
517C22×C4C2×#4112yes—
518C22×C4H(5,𝔽2)12yes—
519C22×C42−1+412yes—
520C22×C4C2511yescharacteristic
521D8—416no—
522C2×C8—28no—
523C2×C8—28no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—44no—
535C2×C8—44no—
536C2×C8C22×D414yes—
537C2×C8C2×#4114yes—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—22no—
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—48no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—84no—
555C4⋊C4C22×D414yes—
556C4⋊C4C22×D414yes—
557C4⋊C4C2×#4114yes—
558C22⋊C4—216no—
559C22⋊C4—28no—
560C22⋊C4—28no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C42—24no—
572C42—24no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—48no—
578C42—48no—
579C42—84no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—48no—
592C23—44no—
593C23—48no—
594C23—42no—
595C23—42no—
596C23—44no—
597C23—48no—
598C23—44no—
599C23—44no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23#52512yes—
623C23D4212yes—
624C23#54712yes—
625C23C2×#13512yes—
626C23C2×AGL(1,ℤ/8)12yes—
627C23#57612yes—
628C23#57712yes—
629C23C23×D411yescharacteristic
630Q8—816no—
631D4—24no—
632D4—24no—
633D4—42no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—48no—
640D4—816no—
641D4—816no—
642D4—84no—
643C2×C4—28no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—28no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—48no—
666C2×C4—48no—
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—48no—
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—816no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4#52512yes—
692C2×C4#53214yes—
693C2×C4#54214yes—
694C2×C4D4212yes—
695C2×C4#54712yes—
696C2×C4#54814yes—
697C2×C4#55114yes—
698C2×C4C2×#13514yes—
699C2×C4C2×AGL(1,ℤ/8)14yes—
700C2×C4C23×D411yescharacteristic
701C2×C4C22×#4111yescharacteristic
702C2×C4C22×#4111yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C2×C4C2×H(5,𝔽2)11yescharacteristic
705C2×C4C2×2−1+411yescharacteristic
706C8—24no—
707C8—24no—
708C8—42no—
709C8—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—44no—
716C22—42no—
717C22—44no—
718C22—42no—
719C22—44no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—88no—
725C22—816no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—168no—
734C22#246114yes—
735C22#310614yes—
736C22#311814yes—
737C22#327414yes—
738C22#328214yes—
739C22#334114yes—
740C22#334514yes—
741C22C2×#52511yescharacteristic
742C22C2×D4211yescharacteristic
743C22C2×#54711yescharacteristic
744C22C22×#13511yescharacteristic
745C22C22×AGL(1,ℤ/8)11yescharacteristic
746C22C2×#57611yescharacteristic
747C22C2×#57711yescharacteristic
748C4—24no—
749C4—24no—
750C4—42no—
751C4—42no—
752C4—44no—
753C4—44no—
754C4—42no—
755C4—44no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4#246114yes—
760C4C2×#53211yescharacteristic
761C4C2×#54211yescharacteristic
762C4C2×#54811yescharacteristic
763C4C2×#55111yescharacteristic
764C2—82no—
765C2—84no—
766C2—162no—
767C2#2679718yesdirect product factor
768C2C2×#246111yescharacteristic
769C2C2×#310611yescharacteristic
770C2C2×#311811yescharacteristic
771C2C2×#327411yescharacteristic
772C2C2×#328211yescharacteristic
773C2C2×#334111yescharacteristic
774C2C2×#334511yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#1999C2
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×#482C2semidirect
2. C22×#476C2semidirect
3. C2×#2491C2semidirect
4. C2×#2363C2semidirect
5. #26797C2direct (N × H)
6. C2×#2065C2semidirect
7. C2×#2057C2semidirect
8. C2×#2034C2semidirect
10. C2×#1970C2semidirect
11. C2×#1926C2semidirect
12. C2×#1925C2semidirect
13. C2×#1923C2semidirect
14. C2×#1879C2semidirect
15. C2×#1854C2semidirect
16. C2×C4×#106C2semidirect
25. C2×#482C22semidirect
27. C2×#476C22semidirect
44. #2491C22semidirect
48. #2363C22semidirect
62. #2065C22semidirect
63. #2057C22semidirect
64. #2034C22semidirect
66. #1970C22semidirect
67. #1926C22semidirect
68. #1925C22semidirect
69. #1923C22semidirect
70. #1879C22semidirect
71. #1854C22semidirect
72. C4×#106C22semidirect
150. C2×#106D4semidirect
372. #106C2×D4semidirect
767. C2#26797direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4822
C22×#4762
C2×#24912
C2×#23632
#267972
C2×#20652
C2×#20572
C2×#20342
C2×#19992
C2×#19702
C2×#19262
C2×#19252
C2×#19232
C2×#18792
C2×#18542
C2×C4×#1062