Finite Group Databasebeta

← C2×#26798 #6443758

Subgroups — C2×#26798 #6443758

Order 512.

2554 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
1C22×#482C211yesmaximal, characteristic, complemented
2C22×#478C211yesmaximal, characteristic, complemented
3C2×#2490C211yesmaximal, characteristic, complemented
4C2×#2363C211yesmaximal, characteristic, complemented
5#26798C2116yesmaximal, direct product factor
6C2×#2067C211yesmaximal, characteristic, complemented
7C2×#2059C211yesmaximal, characteristic, complemented
8C2×#2033C211yesmaximal, characteristic, complemented
9C2×#1999C211yesmaximal, characteristic
10C2×#1970C211yesmaximal, characteristic, complemented
11C2×#1926C211yesmaximal, characteristic, complemented
12C2×#1926C211yesmaximal, characteristic, complemented
13C2×#1923C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1854C211yesmaximal, characteristic, complemented
16C2×C4×#107C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C22×#125C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C2×#482—28no—
24C2×#482C2218yescomplemented
25C2×#478—28no—
26C2×#478C2218yescomplemented
27C22×#107C2211yescharacteristic
28C22×#107C2211yescharacteristic
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×C22⋊C8C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41C22×C4×C8C2211yescharacteristic
42#2490—24no—
43#2490C2218yescomplemented
44C2×#397—21no—
45C2×#394—21no—
46#2363—24no—
47#2363C2218yescomplemented
48C2×#390—21no—
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#2067C2218yescomplemented
63#2059C2218yescomplemented
64#2033C2218yescomplemented
65#1999C2218yes—
66#1970C2218yescomplemented
67#1926C2218yescomplemented
68#1926C2218yescomplemented
69#1923C2218yescomplemented
70#1879C2218yescomplemented
71#1854C2218yescomplemented
72C4×#107C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×D4—21no—
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4C2311yescharacteristic
85C22×D8—24no—
86C22×D8—24no—
87C22×D8—42no—
88C22×D8C2314yes—
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C2×#125—24no—
94C2×#125—22no—
95C2×#125—42no—
96C2×#125C2314yes—
97C2×#121—24no—
98C2×#121—22no—
99C2×#121—22no—
100C2×#121—24no—
101C2×#121—24no—
102C2×#121—42no—
103C2×#121C2314yes—
104C2×#121C2314yes—
105C2×C4×D4—24no—
106C2×C4×D4—22no—
107C2×C4×D4—42no—
108C2×C4×D4C2314yes—
109C2×#117—22no—
110C2×#117—24no—
111C2×#117—42no—
112C2×#117C2314yes—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
134C22×C22⋊C4D411yescharacteristic
135C22×C42—21no—
136C22×C42—21no—
137C22×C42—21no—
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#482—232no—
141#478—232no—
142C2×#107—24no—
143C2×#107—42no—
144C2×#107D418yescomplemented
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×#106—24no—
149C2×#106—24no—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8—24no—
153C2×C4⋊C8C2314yes—
154C2×#102—24no—
155C2×#102—24no—
156C2×#102—24no—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×C22⋊C8—24no—
167C2×C22⋊C8—24no—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2314yes—
170C2×C4×C8—24no—
171C2×C4×C8C2314yes—
172#397—28no—
173#394—28no—
174#390—28no—
175#390—28no—
176#390—22no—
177#390—22no—
178#390—22no—
179#390C2314yes—
180#390C2314yes—
181#390C2314yes—
182#389—22no—
183#389C2314yes—
184#388—28no—
185#388—28no—
186#386—28no—
187#380—22no—
188#380C2314yes—
189C4×C4⋊C4—22no—
190C4×C4⋊C4—22no—
191C4×C4⋊C4C2314yes—
192C4×C4⋊C4C2314yes—
193C4×C22⋊C4—28no—
194C4×C22⋊C4D414yes—
195C4×C22⋊C4C2314yes—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95D411yescharacteristic
201C2×#95D411yescharacteristic
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#336C2314yes—
207#336C2314yes—
208C25—21no—
209C25—21no—
210C25C2×D411yescharacteristic
211C22×D4—28no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—22no—
215C22×D4—21no—
216C22×D4—22no—
217C22×D4—21no—
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—44no—
228C22×D4—44no—
229C22×D4—82no—
230C22×D4—82no—
231C22×D4—82no—
232C22×D4#4114yes—
233C22×D4C2412yes—
234C22×D4C2412yes—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—24no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—82no—
251C23×C4C2×D412yes—
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C2×D8—28no—
260C2×D8—28no—
261C2×D8—44no—
262C2×D8—416no—
263C22×C8—22no—
264C22×C8—22no—
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×C8C2×D414yes—
274C22×C8#4114yes—
275C22×C8C2412yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278C22×C8C2412yes—
279#125—28no—
280#125—44no—
281#125—48no—
282#121—216no—
283#121—28no—
284#121—28no—
285#121—28no—
286#121—44no—
287#121—48no—
288C4×D4—28no—
289C4×D4—44no—
290C4×D4—48no—
291#117—28no—
292#117—44no—
293#117—48no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
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—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—82no—
315C2×C4⋊C4C2×D414yes—
316C2×C4⋊C4C2×D414yes—
317C2×C4⋊C4#4114yes—
318C2×C4⋊C4C2412yes—
319C2×C4⋊C4C2412yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C22⋊C4—28no—
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—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—82no—
344C2×C22⋊C4—82no—
345C2×C22⋊C4—82no—
346C2×C22⋊C4—82no—
347C2×C22⋊C4—82no—
348C2×C22⋊C4C2×D414yes—
349C2×C22⋊C4C2×D414yes—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—22no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—44no—
358C2×C42—82no—
359C2×C42—82no—
360C2×C42C2×D412yes—
361C2×C42C2×D412yes—
362C2×C42C2412yes—
363C2×C42C2412yes—
364#107—28no—
365#107—44no—
366#107C2×D4116yescomplemented
367#106—28no—
368#106—28no—
369C4⋊C8—28no—
370#102—28no—
371#102—28no—
372#102—28no—
373#102—28no—
374#102—28no—
375#102—28no—
376C22⋊C8—28no—
377C22⋊C8—28no—
378C4×C8—28no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95C2×D414yes—
384#95C2×D414yes—
385C24—24no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
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—
408C24C22×D412yes—
409C24C22×D411yescharacteristic
410C2×D4—216no—
411C2×D4—24no—
412C2×D4—28no—
413C2×D4—28no—
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—48no—
426C2×D4—48no—
427C2×D4—42no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—42no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—84no—
439C2×D4—84no—
440C2×D4—84no—
441C2×D4—816no—
442C2×D4—816no—
443C2×D4C2×#4114yes—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—22no—
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—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—48no—
477C22×C4—48no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—42no—
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—84no—
498C22×C4—816no—
499C22×C4#13514yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D412yes—
507C22×C4C2×#4112yes—
508C22×C4C2×#4112yes—
509C22×C4C2×#4112yes—
510C22×C4H(5,𝔽2)12yes—
511C22×C42−1+412yes—
512C22×C4C2511yescharacteristic
513D8—416no—
514C2×C8—28no—
515C2×C8—28no—
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—22no—
526C2×C8—44no—
527C2×C8—44no—
528C2×C8C22×D414yes—
529C2×C8C2×#4114yes—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—24no—
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—22no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—84no—
548C4⋊C4C22×D414yes—
549C4⋊C4C22×D414yes—
550C4⋊C4C2×#4114yes—
551C22⋊C4—216no—
552C22⋊C4—28no—
553C22⋊C4—44no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C22⋊C4—84no—
562C22⋊C4—84no—
563C22⋊C4—84no—
564C42—24no—
565C42—24no—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—48no—
571C42—84no—
572C42—84no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—48no—
585C23—44no—
586C23—48no—
587C23—42no—
588C23—42no—
589C23—44no—
590C23—48no—
591C23—44no—
592C23—44no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23#52512yes—
616C23D4212yes—
617C23#54712yes—
618C23C2×#13512yes—
619C23#57512yes—
620C23#57612yes—
621C23#57612yes—
622C23C23×D411yescharacteristic
623D4—24no—
624D4—24no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—48no—
632D4—816no—
633D4—816no—
634D4—84no—
635C2×C4—28no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—44no—
654C2×C4—48no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—48no—
658C2×C4—48no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—48no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—816no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4#52512yes—
685C2×C4#53214yes—
686C2×C4#54214yes—
687C2×C4D4212yes—
688C2×C4#54712yes—
689C2×C4#54814yes—
690C2×C4#55114yes—
691C2×C4C2×#13514yes—
692C2×C4C23×D411yescharacteristic
693C2×C4C22×#4111yescharacteristic
694C2×C4C22×#4111yescharacteristic
695C2×C4C22×#4111yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×2−1+411yescharacteristic
698C8—24no—
699C8—24no—
700C8—42no—
701C8—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—44no—
707C22—42no—
708C22—44no—
709C22—42no—
710C22—42no—
711C22—44no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—88no—
717C22—816no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—168no—
726C22#246114yes—
727C22#310214yes—
728C22#312214yes—
729C22#327314yes—
730C22#328714yes—
731C22#333914yes—
732C22#334714yes—
733C22C2×#52511yescharacteristic
734C22C2×D4211yescharacteristic
735C22C2×#54711yescharacteristic
736C22C22×#13511yescharacteristic
737C22C2×#57511yescharacteristic
738C22C2×#57611yescharacteristic
739C22C2×#57611yescharacteristic
740C4—24no—
741C4—42no—
742C4—42no—
743C4—44no—
744C4—44no—
745C4—42no—
746C4—42no—
747C4—44no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4#246114yes—
752C4C2×#53211yescharacteristic
753C4C2×#54211yescharacteristic
754C4C2×#54811yescharacteristic
755C4C2×#55111yescharacteristic
756C2—82no—
757C2—84no—
758C2—162no—
759C2#2679818yesdirect product factor
760C2C2×#246111yescharacteristic
761C2C2×#310211yescharacteristic
762C2C2×#312211yescharacteristic
763C2C2×#327311yescharacteristic
764C2C2×#328711yescharacteristic
765C2C2×#333911yescharacteristic
766C2C2×#334711yescharacteristic
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×#478C2semidirect
3. C2×#2490C2semidirect
4. C2×#2363C2semidirect
5. #26798C2direct (N × H)
6. C2×#2067C2semidirect
7. C2×#2059C2semidirect
8. C2×#2033C2semidirect
10. C2×#1970C2semidirect
11. C2×#1926C2semidirect
12. C2×#1926C2semidirect
13. C2×#1923C2semidirect
14. C2×#1879C2semidirect
15. C2×#1854C2semidirect
16. C2×C4×#107C2semidirect
24. C2×#482C22semidirect
26. C2×#478C22semidirect
43. #2490C22semidirect
47. #2363C22semidirect
62. #2067C22semidirect
63. #2059C22semidirect
64. #2033C22semidirect
66. #1970C22semidirect
67. #1926C22semidirect
68. #1926C22semidirect
69. #1923C22semidirect
70. #1879C22semidirect
71. #1854C22semidirect
72. C4×#107C22semidirect
144. C2×#107D4semidirect
366. #107C2×D4semidirect
759. C2#26798direct (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×#4782
C2×#24902
C2×#23632
#267982
C2×#20672
C2×#20592
C2×#20332
C2×#19992
C2×#19702
C2×#19262
C2×#19232
C2×#18792
C2×#18542
C2×C4×#1072