Finite Group Databasebeta

← C2×#60524 #10575037

Subgroups — C2×#60524 #10575037

Order 512.

7968 conjugacy classes of subgroups.

The subgroup lattice has 731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic
2C2×#3428C211yesmaximal, characteristic, complemented
3#60524C2132yesmaximal, direct product factor
4C2×#3099C213yesmaximal, complemented
5C2×#3098C213yesmaximal, complemented
6C2×#3097C213yesmaximal, complemented
7C2×#3097C213yesmaximal, complemented
8C2×#3095C213yesmaximal, complemented
9C2×#3093C213yesmaximal, complemented
10C2×#3091C213yesmaximal, complemented
11C22×#485C213yesmaximal, complemented
12C2×#2913C211yesmaximal, characteristic, complemented
13C2×#2912C211yesmaximal, characteristic, complemented
14C2×#2898C211yesmaximal, characteristic, complemented
15C2×#2898C211yesmaximal, characteristic, complemented
16C2×#2880C211yesmaximal, characteristic, complemented
17C22×2−1+4C2211yescharacteristic
18C23×#41C2211yescharacteristic
19C22×#131C2211yescharacteristic
20C22×#131C2211yescharacteristic
21#3489—28no—
22#3489C22116yes—
23C2×D4×Q8—21no—
24C2×#548—21no—
25C2×#547—23no—
26C2×#546—23no—
27C2×#537C2213yes—
28C2×#536C2213yes—
29C2×#525C2213yes—
30C22×C22⋊Q8C2213yes—
31#3428—28no—
32#3428C22116yescomplemented
33C2×#520C2211yescharacteristic
34C2×#520C2213yes—
35C2×#520C2213yes—
36C2×#520C2211yescharacteristic
37C2×#520C2211yescharacteristic
38C2×#519—21no—
39C2×#518—23no—
40C2×C4×#41—23no—
41C2×C4×#41—21no—
42C22×#117C2213yes—
43C22×#117C2213yes—
44#3099C22148yescomplemented
45#3098C22148yescomplemented
46#3097C22148yescomplemented
47#3097C22148yescomplemented
48#3095C22148yescomplemented
49#3093C22148yescomplemented
50#3091C22148yescomplemented
51C2×#484C2213yescomplemented
52C2×#484C2216yescomplemented
53C2×#481C2213yescomplemented
54C2×#485C2213yes—
55C2×#485C2216yes—
56C2×#485C2213yes—
57C2×#485C2216yescomplemented
58C2×#485C2216yescomplemented
59C2×#485C2216yescomplemented
60C2×#485C22148yescomplemented
61C2×#482C2211yescharacteristic
62C2×#482C2213yes—
63C2×#482C2216yescomplemented
64C2×#483C2213yescomplemented
65C2×#483C2216yescomplemented
66C2×#480C2213yescomplemented
67#2913C22116yescomplemented
68#2912C22116yescomplemented
69C2×#428C2213yescomplemented
70C2×#428C2213yescomplemented
71C2×#428C2213yescomplemented
72C2×#428C2213yescomplemented
73C2×#427C2213yescomplemented
74C2×#427C2213yescomplemented
75C22×#107C2213yescomplemented
76C22×#106C2213yescomplemented
77#2898C22116yescomplemented
78#2898C22116yescomplemented
79C2×#417C2213yescomplemented
80C2×#417C2213yescomplemented
81C2×#419C2213yescomplemented
82C2×#419C2213yescomplemented
83C2×#416C2213yescomplemented
84C2×#416C2213yescomplemented
85C22×#103C2213yescomplemented
86C22×#103C2213yescomplemented
87#2880C22116yescomplemented
88C2×#408C2213yes—
89C2×#408C2213yes—
90C2×#407C2213yes—
91C22×C22⋊C8C2213yes—
92C2×2−1+4—24no—
93C2×2−1+4—28no—
94C2×2−1+4—28no—
95C2×2−1+4C2318yes—
96C22×#41—28no—
97C22×#41—28no—
98C22×#41—23no—
99C22×#41D413yes—
100C22×#41D411yescharacteristic
101C22×#41D418yes—
102C22×#41C2313yes—
103C22×#41C2313yes—
104C22×#41C2318yes—
105C22×#41C2311yescharacteristic
106C23×Q8—21no—
107C23×Q8D411yescharacteristic
108C23×Q8C2313yes—
109C23×D4D413yes—
110C24×C4C2313yes—
111C2×#131—28no—
112C2×#131—28no—
113C2×#131C2318yes—
114C2×#131C2318yes—
115C22×M16C2313yes—
116C22×M16C2313yes—
117C23×C8C2313yes—
118C23×C8C2313yes—
119D4×Q8—216no—
120#548—216no—
121#547—248no—
122#546—248no—
123#537—212no—
124#537C23124yes—
125#536—212no—
126#536C23124yes—
127C2×C4⋊Q8—23no—
128C2×#124—23no—
129#525—212no—
130#525C23124yes—
131C2×#123—26no—
132C2×#123—23no—
133C2×C22⋊Q8—23no—
134C2×C22⋊Q8—23no—
135C2×C22⋊Q8—23no—
136C2×C22⋊Q8—212no—
137C2×C22⋊Q8C2316yes—
138C2×C22⋊Q8C2313yes—
139C2×C22⋊Q8C2313yes—
140C2×C22⋊Q8C23124yes—
141C2×#121—26no—
142C2×#121—23no—
143C2×#121C2313yes—
144C2×#121C2311yescharacteristic
145C2×#120—23no—
146#520—212no—
147#520—212no—
148#520—24no—
149#520—24no—
150#520—24no—
151#520C23124yes—
152#520C23124yes—
153#520C2318yes—
154#520C2318yes—
155#520C2318yes—
156#519—216no—
157#518—248no—
158C4×#41—248no—
159C4×#41—216no—
160C2×C4×Q8—23no—
161C2×C4×Q8—23no—
162C2×C4×Q8—21no—
163C2×C4×Q8—21no—
164C2×C4×Q8—21no—
165C2×C4×D4—26no—
166C2×C4×D4—26no—
167C2×C4×D4—23no—
168C2×C4×D4—23no—
169C2×C4×D4—23no—
170C2×C4×D4—23no—
171C2×C4×D4—23no—
172C2×C4×D4—23no—
173C2×C4×D4—23no—
174C2×#117—23no—
175C2×#117—23no—
176C2×#117—23no—
177C2×#117—23no—
178C2×#117—212no—
179C2×#117—212no—
180C2×#117C2311yescharacteristic
181C2×#117C2313yes—
182C2×#117C2316yes—
183C2×#117C23124yes—
184C2×#117C23124yes—
185C2×#117C2313yes—
186C2×#117C2313yes—
187C2×#117C2313yes—
188C22×C4⋊C4—23no—
189C22×C4⋊C4C2313yes—
190C22×C4⋊C4C2313yes—
191C22×C4⋊C4C2313yes—
192C22×C4⋊C4C2313yes—
193C22×C4⋊C4C2313yes—
194C22×C22⋊C4—23no—
195C22×C22⋊C4—23no—
196C22×C22⋊C4—23no—
197C22×C42—23no—
198C22×C42—23no—
199#485C23124yes—
200#485C23148yes—
201#485C23124yes—
202#485C23148yescomplemented
203#485C23148yescomplemented
204#485C23148yescomplemented
205#484C23124yescomplemented
206#484C23148yescomplemented
207#483C23124yescomplemented
208#483C23148yescomplemented
209#482C2318yes—
210#482C23124yes—
211#482C23148yescomplemented
212#481C23124yescomplemented
213#480C23124yescomplemented
214#428C23124yescomplemented
215#428C23124yescomplemented
216#428C23124yescomplemented
217#428C23124yescomplemented
218#427C23124yescomplemented
219#427C23124yescomplemented
220C2×#107C2313yes—
221C2×#107C2313yes—
222C2×#107C2313yes—
223C2×#107C2311yescharacteristic
224C2×#107C2316yes—
225C2×#107C23124yescomplemented
226C2×#106C2311yescharacteristic
227C2×#106C2313yes—
228C2×#106C2313yes—
229C2×#106C2316yes—
230C2×#106C2313yes—
231C2×#106C23124yescomplemented
232#419C23124yescomplemented
233#419C23124yescomplemented
234#417C23124yescomplemented
235#417C23124yescomplemented
236#416C23124yescomplemented
237#416C23124yescomplemented
238C2×#103C2313yes—
239C2×#103C2313yes—
240C2×#103C2316yes—
241C2×#103C2313yes—
242C2×#103C2313yes—
243C2×#103C2316yes—
244C2×#103C23124yescomplemented
245C2×#103C23124yescomplemented
246C2×#102C2311yescharacteristic
247C2×#102C2313yes—
248C2×#102C2313yes—
249C2×#102C2311yescharacteristic
250#408C23124yes—
251#408C23124yes—
252#407C23124yes—
253C2×C22⋊C8C2313yes—
254C2×C22⋊C8C2316yes—
255C2×C22⋊C8C2313yes—
256C2×C22⋊C8C2311yescharacteristic
257C2×C22⋊C8C2313yes—
258C2×C22⋊C8C23124yes—
259C25C2×D413yes—
2602−1+4—232no—
2612−1+4—232no—
2622−1+4—432no—
263C2×#41—264no—
264C2×#41—232no—
265C2×#41—232no—
266C2×#41—28no—
267C2×#41—224no—
268C2×#41—224no—
269C2×#41—26no—
270C2×#41—212no—
271C2×#41—212no—
272C2×#41—212no—
273C2×#41—212no—
274C2×#41—424no—
275C2×#41C2×D4124yes—
276C2×#41C2×D418yes—
277C2×#41C2×D4112yes—
278C2×#41C2×D414yes—
279C2×#41#4118yes—
280C2×#41#4118yes—
281C2×#41C24112yes—
282C2×#41C24112yes—
283C2×#41C2414yes—
284C22×Q8—28no—
285C22×Q8—28no—
286C22×Q8—23no—
287C22×Q8—26no—
288C22×Q8—212no—
289C22×Q8—212no—
290C22×Q8—48no—
291C22×Q8C2×D413yes—
292C22×Q8C2×D418yes—
293C22×Q8C2×D411yescharacteristic
294C22×Q8C2413yes—
295C22×Q8C24112yes—
296C22×D4—224no—
297C22×D4—21no—
298C22×D4—23no—
299C22×D4—23no—
300C22×D4C2×D416yes—
301C22×D4C2×D413yes—
302C22×D4C2×D4124yes—
303C22×D4C2×D413yes—
304C22×D4C2411yescharacteristic
305C23×C4—212no—
306C23×C4—212no—
307C23×C4—23no—
308C23×C4—23no—
309C23×C4—23no—
310C23×C4—23no—
311C23×C4—23no—
312C23×C4—23no—
313C23×C4—23no—
314C23×C4C2×D413yes—
315C23×C4C2×D413yes—
316C23×C4C2×D4112yes—
317C23×C4C2×D413yes—
318C23×C4C2413yes—
319C23×C4C2411yescharacteristic
320C23×C4C24112yes—
321C23×C4C2413yes—
322#131—232no—
323#131—232no—
324C2×M16—212no—
325C2×M16—212no—
326C2×M16C24112yes—
327C2×M16C24112yes—
328C22×C8—212no—
329C22×C8—212no—
330C22×C8C2411yescharacteristic
331C22×C8C2411yescharacteristic
332C22×C8C2413yes—
333C22×C8C2413yes—
334C22×C8C24112yes—
335C22×C8C24112yes—
336C4⋊Q8—224no—
337#124—224no—
338#123—248no—
339#123—224no—
340C22⋊Q8—224no—
341C22⋊Q8—26no—
342C22⋊Q8—212no—
343C22⋊Q8—224no—
344C22⋊Q8—224no—
345C22⋊Q8—26no—
346C22⋊Q8C24112yes—
347C22⋊Q8C24124yes—
348C22⋊Q8C24112yes—
349#121—248no—
350#121—224no—
351#121—22no—
352#121—26no—
353#121C2414yes—
354#121C24112yes—
355#120—224no—
356C4×Q8—224no—
357C4×Q8—224no—
358C4×Q8—28no—
359C4×Q8—28no—
360C4×Q8—28no—
361C4×D4—248no—
362C4×D4—248no—
363C4×D4—224no—
364C4×D4—224no—
365C4×D4—224no—
366C4×D4—224no—
367C4×D4—224no—
368C4×D4—224no—
369C4×D4—224no—
370#117—26no—
371#117—22no—
372#117—224no—
373#117—224no—
374#117—224no—
375#117—224no—
376#117—212no—
377#117—26no—
378#117—26no—
379#117—26no—
380#117C24112yes—
381#117C2414yes—
382#117C24112yes—
383#117C24112yes—
384#117C24124yes—
385#117C24112yes—
386C2×C4⋊C4—23no—
387C2×C4⋊C4—26no—
388C2×C4⋊C4—224no—
389C2×C4⋊C4—23no—
390C2×C4⋊C4—23no—
391C2×C4⋊C4—23no—
392C2×C4⋊C4—23no—
393C2×C4⋊C4—26no—
394C2×C4⋊C4—26no—
395C2×C4⋊C4—26no—
396C2×C4⋊C4—26no—
397C2×C4⋊C4—23no—
398C2×C4⋊C4—26no—
399C2×C4⋊C4—23no—
400C2×C4⋊C4C2411yescharacteristic
401C2×C4⋊C4C2413yes—
402C2×C4⋊C4C2411yescharacteristic
403C2×C4⋊C4C2413yes—
404C2×C4⋊C4C2413yes—
405C2×C4⋊C4C24112yes—
406C2×C4⋊C4C24112yes—
407C2×C4⋊C4C24112yes—
408C2×C4⋊C4C24112yes—
409C2×C4⋊C4C24112yes—
410C2×C4⋊C4C2411yescharacteristic
411C2×C22⋊C4—23no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—23no—
414C2×C22⋊C4—26no—
415C2×C22⋊C4—23no—
416C2×C22⋊C4—23no—
417C2×C22⋊C4—224no—
418C2×C22⋊C4—224no—
419C2×C22⋊C4—26no—
420C2×C22⋊C4—224no—
421C2×C22⋊C4—23no—
422C2×C22⋊C4—23no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—23no—
425C2×C42—21no—
426C2×C42—23no—
427C2×C42—26no—
428C2×C42—23no—
429C2×C42—23no—
430C2×C42—224no—
431C2×C42—224no—
432C2×C42—23no—
433#107C24112yes—
434#107C24124yes—
435#107C2414yes—
436#107C24112yes—
437#107C24112yes—
438#106C24112yes—
439#106C24124yes—
440#106C2414yes—
441#106C24112yes—
442#106C24112yes—
443#103C24112yes—
444#103C24112yes—
445#103C24124yes—
446#103C24124yes—
447#103C24112yes—
448#103C24112yes—
449#102C2414yes—
450#102C2414yes—
451#102C24112yes—
452#102C24112yes—
453C22⋊C8C2414yes—
454C22⋊C8C24112yes—
455C22⋊C8C24112yes—
456C22⋊C8C24112yes—
457C22⋊C8C24124yes—
458C24—212no—
459C24—21no—
460C24—46no—
461C24—46no—
462C24C22×D411yescharacteristic
463C24C22×D413yes—
464C24C22×D413yes—
465C24C22×D4112yes—
466#41—232no—
467#41—296no—
468#41—248no—
469#41—224no—
470#41—224no—
471#41—224no—
472#41—224no—
473#41—496no—
474#41—424no—
475#41#123132yes—
476#41C2×#41116yes—
477#41C2×#41116yes—
478C2×Q8—232no—
479C2×Q8—212no—
480C2×Q8—23no—
481C2×Q8—212no—
482C2×Q8—26no—
483C2×Q8—26no—
484C2×Q8—224no—
485C2×Q8—224no—
486C2×Q8—432no—
487C2×Q8—412no—
488C2×Q8—424no—
489C2×Q8#12318yes—
490C2×Q8C22×D4112yes—
491C2×Q8C22×D414yes—
492C2×Q8C2516yes—
493C2×D4—224no—
494C2×D4—296no—
495C2×D4—24no—
496C2×D4—212no—
497C2×D4—212no—
498C2×D4—212no—
499C2×D4—21no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—44no—
503C2×D4—412no—
504C2×D4—86no—
505C2×D4#123124yes—
506C2×D4C22×D4124yes—
507C2×D4C22×D4112yes—
508C2×D4C22×D4112yes—
509C2×D4C2512yes—
510C22×C4—212no—
511C22×C4—212no—
512C22×C4—212no—
513C22×C4—248no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—26no—
517C22×C4—26no—
518C22×C4—224no—
519C22×C4—224no—
520C22×C4—212no—
521C22×C4—23no—
522C22×C4—21no—
523C22×C4—23no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—23no—
527C22×C4—23no—
528C22×C4—212no—
529C22×C4—212no—
530C22×C4—212no—
531C22×C4—212no—
532C22×C4—212no—
533C22×C4—212no—
534C22×C4—412no—
535C22×C4—412no—
536C22×C4—86no—
537C22×C4—86no—
538C22×C4—86no—
539C22×C4—86no—
540C22×C4—86no—
541C22×C4C22×D4112yes—
542C22×C4C22×D4112yes—
543C22×C4C22×D416yes—
544C22×C4C22×D4112yes—
545C22×C4C22×D412yes—
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D413yes—
548C22×C4C22×D416yes—
549C22×C4C22×D413yes—
550C22×C4C2×#41112yes—
551C22×C4C2×#41112yes—
552C22×C4C2516yes—
553C22×C4C2512yes—
554C22×C4C2516yes—
555C22×C4C2511yescharacteristic
556M16—224no—
557M16—224no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—26no—
561C2×C8—26no—
562C2×C8—224no—
563C2×C8—224no—
564C2×C8C2512yes—
565C2×C8C2516yes—
566C2×C8C2516yes—
567C2×C8C2512yes—
568C4⋊C4—21no—
569C4⋊C4—23no—
570C4⋊C4—21no—
571C4⋊C4—23no—
572C4⋊C4—212no—
573C4⋊C4—23no—
574C4⋊C4—224no—
575C4⋊C4—212no—
576C4⋊C4—212no—
577C4⋊C4—212no—
578C4⋊C4—212no—
579C4⋊C4—212no—
580C4⋊C4—212no—
581C4⋊C4—21no—
582C4⋊C4C2512yes—
583C4⋊C4C2516yes—
584C4⋊C4C2512yes—
585C4⋊C4C2516yes—
586C4⋊C4C2516yes—
587C4⋊C4C2512yes—
588C22⋊C4—212no—
589C22⋊C4—24no—
590C22⋊C4—212no—
591C22⋊C4—224no—
592C22⋊C4—212no—
593C22⋊C4—212no—
594C22⋊C4—224no—
595C22⋊C4—212no—
596C22⋊C4—212no—
597C22⋊C4—24no—
598C22⋊C4—212no—
599C42—212no—
600C42—24no—
601C42—224no—
602C42—212no—
603C42—212no—
604C42—212no—
605C23—26no—
606C23—26no—
607C23—26no—
608C23—22no—
609C23—26no—
610C23—22no—
611C23—22no—
612C23—26no—
613C23—224no—
614C23—22no—
615C23—412no—
616C23—412no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—824no—
621C23C2×#123112yes—
622C23C23×D412yes—
623C23C23×D416yes—
624C23C23×D416yes—
625C23C23×D411yescharacteristic
626Q8—224no—
627Q8—26no—
628Q8—26no—
629Q8—46no—
630Q8—424no—
631Q8C2×#123116yes—
632D4—248no—
633D4—22no—
634D4—22no—
635D4—224no—
636D4—48no—
637D4—424no—
638D4—42no—
639D4—812no—
640D4C2×#123148yes—
641C2×C4—22no—
642C2×C4—26no—
643C2×C4—224no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—26no—
647C2×C4—26no—
648C2×C4—24no—
649C2×C4—224no—
650C2×C4—224no—
651C2×C4—212no—
652C2×C4—26no—
653C2×C4—22no—
654C2×C4—26no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—26no—
658C2×C4—26no—
659C2×C4—46no—
660C2×C4—42no—
661C2×C4—46no—
662C2×C4—46no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—46no—
666C2×C4—424no—
667C2×C4—424no—
668C2×C4—812no—
669C2×C4—812no—
670C2×C4—812no—
671C2×C4—812no—
672C2×C4—812no—
673C2×C4C2×#123112yes—
674C2×C4C2×#123124yes—
675C2×C4C23×D412yes—
676C2×C4C23×D416yes—
677C2×C4C23×D416yes—
678C2×C4C23×D411yescharacteristic
679C2×C4C22×#4112yes—
680C2×C4C22×#4112yes—
681C2×C4C22×#41112yes—
682C2×C4C22×#41112yes—
683C2×C4C2611yescharacteristic
684C8—22no—
685C8—22no—
686C8—26no—
687C8—26no—
688C22—224no—
689C22—26no—
690C22—26no—
691C22—26no—
692C22—22no—
693C22—26no—
694C22—22no—
695C22—22no—
696C22—26no—
697C22—412no—
698C22—44no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—824no—
703C22—84no—
704C22C22×#123112yes—
705C22C22×#12312yes—
706C22#358412yes—
707C22#358612yes—
708C22C24×D411yescharacteristic
709C4—22no—
710C4—26no—
711C4—46no—
712C4—42no—
713C4—46no—
714C4—46no—
715C4—42no—
716C4—42no—
717C4—46no—
718C4C22×#12312yes—
719C4C22×#123112yes—
720C4C23×#4111yescharacteristic
721C4C23×#4111yescharacteristic
722C2—212no—
723C2—46no—
724C2—42no—
725C2—82no—
726C2#6052414yesdirect product factor
727C2C23×#12311yescharacteristic
728C2C2×#358411yescharacteristic
729C2C2×#358611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC2×C4C26
prime radicalC2×#3489C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3428C2semidirect
3. #60524C2direct (N × H)
4. C2×#3099C2semidirect
5. C2×#3098C2semidirect
6. C2×#3097C2semidirect
7. C2×#3097C2semidirect
8. C2×#3095C2semidirect
9. C2×#3093C2semidirect
10. C2×#3091C2semidirect
11. C22×#485C2semidirect
12. C2×#2913C2semidirect
13. C2×#2912C2semidirect
14. C2×#2898C2semidirect
15. C2×#2898C2semidirect
16. C2×#2880C2semidirect
32. #3428C22semidirect
44. #3099C22semidirect
45. #3098C22semidirect
46. #3097C22semidirect
47. #3097C22semidirect
48. #3095C22semidirect
49. #3093C22semidirect
50. #3091C22semidirect
51. C2×#484C22semidirect
52. C2×#484C22semidirect
53. C2×#481C22semidirect
57. C2×#485C22semidirect
58. C2×#485C22semidirect
59. C2×#485C22semidirect
60. C2×#485C22semidirect
63. C2×#482C22semidirect
64. C2×#483C22semidirect
65. C2×#483C22semidirect
66. C2×#480C22semidirect
67. #2913C22semidirect
68. #2912C22semidirect
69. C2×#428C22semidirect
70. C2×#428C22semidirect
71. C2×#428C22semidirect
72. C2×#428C22semidirect
73. C2×#427C22semidirect
74. C2×#427C22semidirect
75. C22×#107C22semidirect
76. C22×#106C22semidirect
77. #2898C22semidirect
78. #2898C22semidirect
79. C2×#417C22semidirect
80. C2×#417C22semidirect
81. C2×#419C22semidirect
82. C2×#419C22semidirect
83. C2×#416C22semidirect
84. C2×#416C22semidirect
85. C22×#103C22semidirect
86. C22×#103C22semidirect
87. #2880C22semidirect
202. #485C23semidirect
203. #485C23semidirect
204. #485C23semidirect
205. #484C23semidirect
206. #484C23semidirect
207. #483C23semidirect
208. #483C23semidirect
211. #482C23semidirect
212. #481C23semidirect
213. #480C23semidirect
214. #428C23semidirect
215. #428C23semidirect
216. #428C23semidirect
217. #428C23semidirect
218. #427C23semidirect
219. #427C23semidirect
225. C2×#107C23semidirect
231. C2×#106C23semidirect
232. #419C23semidirect
233. #419C23semidirect
234. #417C23semidirect
235. #417C23semidirect
236. #416C23semidirect
237. #416C23semidirect
244. C2×#103C23semidirect
245. C2×#103C23semidirect
726. C2#60524direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34282
#605242
C2×#30992
C2×#30982
C2×#30972
C2×#30952
C2×#30932
C2×#30912
C22×#4852
C2×#29132
C2×#29122
C2×#28982
C2×#28802