Finite Group Databasebeta

← #7687988

Subgroups — #7687988

Order 512.

6523 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59650C218yesmaximal, complemented
3#59412C214yesmaximal, complemented
4#59220C212yesmaximal, complemented
5#45088C214yesmaximal, complemented
6#43478C218yesmaximal, complemented
7#40173C218yesmaximal, complemented
8#39191C214yesmaximal, complemented
9#36559C212yesmaximal, complemented
10#36464C214yesmaximal, complemented
11#36258C214yesmaximal, complemented
12#36187C211yesmaximal, characteristic, complemented
13#36004C214yesmaximal, complemented
14#34976C212yesmaximal, complemented
15#34954C211yesmaximal, characteristic, complemented
16#34310C214yesmaximal, complemented
17C4×#550C212yesmaximal, complemented
18C2×#555C2212yescomplemented
19C2×#554C2214yescomplemented
20C2×#550C2212yes—
21C2×#546C2218yescomplemented
22C2×D42C2214yes—
23C2×D42C2212yes—
24C2×#518C2214yescomplemented
25C2×C4×#41C2214yescomplemented
26#2868C2211yescharacteristic, complemented
27#2859C2214yescomplemented
28#2856C2212yes—
29#2854C2218yescomplemented
30#2782C2218yescomplemented
31#2753C22116yescomplemented
32#2736C2218yescomplemented
33#2711C22116yescomplemented
34#2696C22116yescomplemented
35#2679C2214yes—
36#2678C22116yescomplemented
37#2631C2218yescomplemented
38#2624C2214yescomplemented
39#2609C2218yescomplemented
40#2598C2218yescomplemented
41#2593C2214yescomplemented
42#2582C2211yescharacteristic, complemented
43#2571C2211yescharacteristic, complemented
44#2566C2218yescomplemented
45#2563C2212yescomplemented
46#2563C2214yescomplemented
47#2558C22116yescomplemented
48#2548C2212yes—
49#2540C2218yescomplemented
50#2538C2214yescomplemented
51#2538C2214yescomplemented
52#2537C2214yes—
53#2537C2212yes—
54#2537C2214yescomplemented
55#2535C2218yescomplemented
56#2518C22116yescomplemented
57#2513C2214yescomplemented
58#2500C2214yescomplemented
59#2497C2218yescomplemented
60#2495C2218yescomplemented
61#2491C2218yescomplemented
62#2487C2218yescomplemented
63#2485C2218yescomplemented
64#2472C22116yescomplemented
65#2452C2218yescomplemented
66#2452C2218yescomplemented
67#2448C2214yescomplemented
68#2437C2218yescomplemented
69#2433C2214yescomplemented
70#2428C2218yescomplemented
71#2426C2218yescomplemented
72#2424C22116yescomplemented
73#2424C22116yescomplemented
74#2422C2218yescomplemented
75#2416C2218yescomplemented
76#2414C2218yescomplemented
77#2411C22116yescomplemented
78#2408C2218yes—
79#2408C2214yes—
80#2408C2218yescomplemented
81#2407C2218yescomplemented
82#2395C2214yescomplemented
83#2392C2218yescomplemented
84#2366C2212yes—
85#2366C2214yescomplemented
86#2363C2218yescomplemented
87#2363C2218yescomplemented
88#2363C2214yescomplemented
89#2361C2218yescomplemented
90#2358C22116yescomplemented
91#2354C2214yescomplemented
92#2354C2212yescomplemented
93#2354C2214yescomplemented
94Q8×C4⋊C4C2212yescomplemented
95D4×C4⋊C4C2214yescomplemented
96D4×C4⋊C4C2214yescomplemented
97#2347C2214yescomplemented
98#2341C2214yescomplemented
99D4×C22⋊C4C2218yescomplemented
100D4×C22⋊C4C2218yescomplemented
101#2324C2218yescomplemented
102#2321C22116yescomplemented
103C4×#127C2214yes—
104C4×#127C2211yescharacteristic
105C4×#127C2212yes—
106C4×#127C2214yescomplemented
107C4×#124C2214yescomplemented
108C4×C22⋊Q8C2218yescomplemented
109C4×#121C2218yescomplemented
110C4×#121C2218yescomplemented
111C4×#121C2214yescomplemented
112#2293C2214yescomplemented
113C2×#390C2218yescomplemented
114#2285C2212yescomplemented
115C42×Q8C2212yescomplemented
116C42×D4C2214yescomplemented
117C42×D4C2211yescharacteristic, complemented
118C22×#41C2314yes—
119C23×D4C2314yes—
120C23×D4C2318yes—
121#555—48no—
122#554—416no—
123#550—216no—
124#546—432no—
125D42—232no—
126D42—48no—
127C2×C4⋊Q8C2314yes—
128C2×C4⋊Q8C2312yes—
129C2×#127C2311yescharacteristic
130C2×#127C2314yes—
131C2×#127C2312yes—
132C2×#125C2318yes—
133C2×#124C2314yes—
134C2×#124C2318yes—
135C2×#123C23116yes—
136C2×C22⋊Q8C2318yes—
137C2×C22⋊Q8C23116yes—
138C2×#121C2318yes—
139C2×#121C2318yes—
140C2×#121C2314yes—
141C2×#121C2318yes—
142C2×#121C2318yes—
143C2×#121C2318yes—
144C2×#121C2314yes—
145C2×#121C2314yes—
146C2×#121C23116yes—
147C2×#120C23116yes—
148C2×#120C2318yes—
149C2×#120C23116yes—
150#518—416no—
151C4×#41—416no—
152C2×C4×Q8C2312yes—
153C2×C4×Q8C2312yes—
154C2×C4×Q8C2312yes—
155C2×C4×Q8C2314yes—
156C2×C4×D4C2314yes—
157C2×C4×D4C2314yes—
158C2×C4×D4C2314yes—
159C2×C4×D4C2312yes—
160C2×C4×D4C2314yes—
161C2×C4×D4C2314yes—
162C2×C4×D4C2311yescharacteristic
163C2×C4×D4C2312yes—
164C2×C4×D4C2314yes—
165C2×C4×D4C2318yes—
166C2×C4×D4C2318yes—
167C2×C4×D4C2318yes—
168C2×C4×D4C2318yes—
169C2×C4×D4C2318yes—
170C2×C4×D4C2318yes—
171C2×C4×D4C2314yes—
172C2×C4×D4C2318yes—
173C2×C4×D4C2318yes—
174C2×#117C2314yes—
175C2×#117C2314yes—
176C2×#117C2314yes—
177C2×#117C2318yes—
178C2×#117C2314yes—
179C22×C4⋊C4C2318yes—
180C22×C22⋊C4C23116yes—
181C22×C22⋊C4C23116yes—
182C22×C42C2312yes—
183C22×C42C2318yes—
184#400C2314yes—
185#400C23116yes—
186#399C2318yes—
187#399C2314yes—
188#398C2314yes—
189#397C2318yes—
190#397C2314yes—
191#397C2318yes—
192#397C23116yes—
193#396C23116yes—
194#396C23116yes—
195#396C23116yes—
196#394C2318yes—
197#394C2318yes—
198#394C23116yes—
199#394C23116yes—
200#394C23116yes—
201#394C23116yes—
202#394C23116yes—
203#393C23116yes—
204#393C2318yes—
205#392C2318yes—
206#392C2318yes—
207#392C23116yes—
208#392C2318yes—
209#391C2314yes—
210#390C2318yes—
211#390C2314yes—
212#390C2312yes—
213#390C2318yes—
214#390C2314yes—
215#390C2314yes—
216#390C2318yes—
217#390C2314yes—
218#390C2314yes—
219#390C2318yes—
220#390C2314yes—
221#390C2318yes—
222#390C2314yes—
223#390C23116yes—
224#390C2314yes—
225#390C2318yes—
226#390C2314yes—
227#390C2318yes—
228#390C2314yes—
229#390C23116yes—
230#390C2314yes—
231#389C2314yes—
232#389C2318yes—
233#389C2314yes—
234#389C2314yes—
235#389C2318yes—
236#389C2318yes—
237#389C2318yes—
238#389C2318yes—
239#388C2318yes—
240#388C23116yes—
241#388C23116yes—
242#388C23116yes—
243#388C2318yes—
244#388C2318yes—
245#388C2318yes—
246#388C23116yes—
247#388C23116yes—
248#388C2318yes—
249#388C2318yes—
250#388C2318yes—
251#387C23116yes—
252#386C2318yes—
253#386C23116yes—
254#386C23116yes—
255#386C23116yes—
256#386C23116yes—
257#386C2318yes—
258#386C23116yes—
259#386C2318yes—
260#385C23116yes—
261#385C23116yes—
262#385C23116yes—
263#385C23116yes—
264#384C2311yescharacteristic
265#384C2312yes—
266#384C2314yes—
267#384C2314yes—
268#384C2312yes—
269#384C2312yes—
270#383C2318yes—
271#382C2318yes—
272#382C2314yes—
273#382C2314yes—
274#380C2318yes—
275#380C2318yes—
276#380C2318yes—
277#380C2314yes—
278#380C2318yes—
279#380C2314yes—
280#380C2318yes—
281#380C2318yes—
282#379C23116yes—
283#379C2318yes—
284C4×C4⋊C4C2311yescharacteristic
285C4×C4⋊C4C2312yes—
286C4×C4⋊C4C2314yes—
287C4×C4⋊C4C2312yes—
288C4×C4⋊C4C2314yes—
289C4×C4⋊C4C2314yes—
290C4×C4⋊C4C2318yes—
291C4×C4⋊C4C2312yes—
292C4×C4⋊C4C2312yes—
293C4×C4⋊C4C2318yes—
294C4×C4⋊C4C2314yes—
295C4×C4⋊C4C2314yes—
296C4×C22⋊C4C2318yes—
297C4×C22⋊C4C2318yes—
298C4×C22⋊C4C2318yes—
299C4×C22⋊C4C2318yes—
300C4×C22⋊C4C2314yes—
301C4×C22⋊C4C2314yes—
302C4×C22⋊C4C23116yes—
303C4×C22⋊C4C2312yes—
304C43C2311yescharacteristic
305C43C2314yes—
306C25C2418yes—
307C2×#41—216no—
308C2×#41—216no—
309C2×#41—48no—
310C22×Q8C2412yes—
311C22×Q8C2414yes—
312C22×D4—232no—
313C22×D4—232no—
314C22×D4—48no—
315C22×D4—416no—
316C22×D4—416no—
317C22×D4C2411yescharacteristic
318C22×D4C2414yes—
319C22×D4C2418yes—
320C22×D4C2418yes—
321C22×D4C2414yes—
322C22×D4C2414yes—
323C22×D4C2412yes—
324C22×D4C2418yes—
325C22×D4C24116yes—
326C22×D4C2418yes—
327C22×D4C2414yes—
328C23×C4C2418yes—
329C23×C4C2414yes—
330C23×C4C2414yes—
331C23×C4C2418yes—
332C23×C4C2412yes—
333C23×C4C2418yes—
334C23×C4C24116yes—
335C4⋊Q8—48no—
336C4⋊Q8—44no—
337#127—216no—
338#127—24no—
339#127#41116yescomplemented
340#125—416no—
341#124—216no—
342#124—416no—
343#123—432no—
344C22⋊Q8—232no—
345C22⋊Q8—432no—
346#121—232no—
347#121—232no—
348#121—216no—
349#121—232no—
350#121—48no—
351#121—432no—
352#121—416no—
353#121—416no—
354#121—48no—
355#120—264no—
356#120—416no—
357#120—432no—
358C4×Q8—28no—
359C4×Q8—28no—
360C4×Q8—28no—
361C4×Q8—48no—
362C4×D4—216no—
363C4×D4—216no—
364C4×D4—24no—
365C4×D4—216no—
366C4×D4—216no—
367C4×D4—28no—
368C4×D4—216no—
369C4×D4—416no—
370C4×D4—416no—
371C4×D4—48no—
372C4×D4—416no—
373C4×D4—416no—
374C4×D4—416no—
375C4×D4—416no—
376C4×D4—416no—
377C4×D4—48no—
378C4×D4—44no—
379C4×D4—416no—
380#117—216no—
381#117—48no—
382#117—48no—
383#117—416no—
384#117—48no—
385C2×C4⋊C4—416no—
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2418yes—
388C2×C4⋊C4C2412yes—
389C2×C4⋊C4C2414yes—
390C2×C4⋊C4C2414yes—
391C2×C4⋊C4C2414yes—
392C2×C4⋊C4C2412yes—
393C2×C4⋊C4C2414yes—
394C2×C4⋊C4C2414yes—
395C2×C4⋊C4C2412yes—
396C2×C4⋊C4C2414yes—
397C2×C4⋊C4C2414yes—
398C2×C4⋊C4C24116yes—
399C2×C4⋊C4C24116yes—
400C2×C4⋊C4C2412yes—
401C2×C4⋊C4C2414yes—
402C2×C4⋊C4C2414yes—
403C2×C4⋊C4C2418yes—
404C2×C4⋊C4C2414yes—
405C2×C4⋊C4C2418yes—
406C2×C4⋊C4C2414yes—
407C2×C4⋊C4C2418yes—
408C2×C4⋊C4C2411yescharacteristic
409C2×C22⋊C4—432no—
410C2×C22⋊C4—432no—
411C2×C22⋊C4C2418yes—
412C2×C22⋊C4C2418yes—
413C2×C22⋊C4C2418yes—
414C2×C22⋊C4C24116yes—
415C2×C22⋊C4C2418yes—
416C2×C22⋊C4C2418yes—
417C2×C22⋊C4C2418yes—
418C2×C22⋊C4C2418yes—
419C2×C22⋊C4C2414yes—
420C2×C22⋊C4C2412yes—
421C2×C22⋊C4C2418yes—
422C2×C22⋊C4C24116yes—
423C2×C22⋊C4C2418yes—
424C2×C22⋊C4C2418yes—
425C2×C22⋊C4C24116yes—
426C2×C22⋊C4C24116yes—
427C2×C22⋊C4C2418yes—
428C2×C22⋊C4C2418yes—
429C2×C22⋊C4C2418yes—
430C2×C22⋊C4C24116yes—
431C2×C22⋊C4C2418yes—
432C2×C22⋊C4C2418yes—
433C2×C22⋊C4C2414yes—
434C2×C22⋊C4C2418yes—
435C2×C22⋊C4C2418yes—
436C2×C42—28no—
437C2×C42—416no—
438C2×C42C2412yes—
439C2×C42C2414yes—
440C2×C42C2418yes—
441C2×C42C2414yes—
442C2×C42C2411yescharacteristic
443C2×C42C2414yes—
444C2×C42C2412yes—
445C2×C42C2414yes—
446C2×C42C2414yes—
447C2×C42C2414yes—
448C2×C42C2418yes—
449C2×C42C2418yes—
450C2×C42C2411yescharacteristic
451C2×C42C2414yes—
452C2×C42C2412yes—
453C2×C42C2411yescharacteristic
454#95C2414yes—
455#95C2418yes—
456#95C2412yes—
457#95C2418yes—
458#95C2418yes—
459#95C2414yes—
460#95C24116yes—
461#95C2414yes—
462#95C2418yes—
463#95C2414yes—
464#95C2414yes—
465#95C2414yes—
466#95C2418yes—
467#95C24116yes—
468#95C24116yes—
469C24—232no—
470C24—48no—
471C24—416no—
472C24—48no—
473C24—48no—
474C24C2514yes—
475C24C2512yes—
476C24C2518yes—
477#41—464no—
478C2×Q8—24no—
479C2×Q8—24no—
480C2×Q8—48no—
481C2×Q8—44no—
482C2×Q8H(5,𝔽2)18yes—
483C2×D4—232no—
484C2×D4—216no—
485C2×D4—232no—
486C2×D4—216no—
487C2×D4—28no—
488C2×D4—24no—
489C2×D4—28no—
490C2×D4—28no—
491C2×D4—28no—
492C2×D4—28no—
493C2×D4—22no—
494C2×D4—216no—
495C2×D4—28no—
496C2×D4—28no—
497C2×D4—24no—
498C2×D4—44no—
499C2×D4—48no—
500C2×D4—48no—
501C2×D4—44no—
502C2×D4—48no—
503C2×D4—42no—
504C2×D4—416no—
505C2×D4—416no—
506C2×D4—42no—
507C2×D4—48no—
508C2×D4—416no—
509C2×D4—48no—
510C2×D4—464no—
511C2×D4—864no—
512C2×D4C2×#41116yes—
513C2×D4C2×#41116yes—
514C2×D4C2×#41116yes—
515C22×C4—216no—
516C22×C4—216no—
517C22×C4—216no—
518C22×C4—28no—
519C22×C4—28no—
520C22×C4—24no—
521C22×C4—216no—
522C22×C4—216no—
523C22×C4—216no—
524C22×C4—28no—
525C22×C4—24no—
526C22×C4—28no—
527C22×C4—216no—
528C22×C4—48no—
529C22×C4—42no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—416no—
533C22×C4—416no—
534C22×C4—416no—
535C22×C4C2514yes—
536C22×C4C2514yes—
537C22×C4C2514yes—
538C22×C4C2514yes—
539C22×C4C2518yes—
540C22×C4C2511yescharacteristic
541C22×C4C2514yes—
542C22×C4C2518yes—
543C22×C4C2512yes—
544C22×C4C2512yes—
545C22×C4C2511yescharacteristic
546C22×C4C2514yes—
547C22×C4C2511yescharacteristic
548C22×C4C2512yes—
549C4⋊C4—24no—
550C4⋊C4—28no—
551C4⋊C4—28no—
552C4⋊C4—28no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—216no—
556C4⋊C4—28no—
557C4⋊C4—28no—
558C4⋊C4—24no—
559C4⋊C4—28no—
560C4⋊C4—28no—
561C4⋊C4—232no—
562C4⋊C4—416no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—44no—
568C4⋊C4—48no—
569C4⋊C4—44no—
570C4⋊C4—48no—
571C4⋊C4H(5,𝔽2)14yes—
572C22⋊C4—216no—
573C22⋊C4—232no—
574C22⋊C4—216no—
575C22⋊C4—216no—
576C22⋊C4—28no—
577C22⋊C4—216no—
578C22⋊C4—216no—
579C22⋊C4—216no—
580C22⋊C4—232no—
581C22⋊C4—216no—
582C22⋊C4—24no—
583C22⋊C4—216no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—416no—
587C22⋊C4—416no—
588C22⋊C4—48no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—416no—
593C22⋊C4—48no—
594C22⋊C4—48no—
595C22⋊C4—44no—
596C22⋊C4—48no—
597C42—28no—
598C42—28no—
599C42—24no—
600C42—28no—
601C42—216no—
602C42—28no—
603C42—22no—
604C42—28no—
605C42—28no—
606C42—24no—
607C42—48no—
608C42—48no—
609C42—41no—
610C42—44no—
611C42C2×#4118yes—
612C42H(5,𝔽2)14yes—
613C23—28no—
614C23—28no—
615C23—28no—
616C23—28no—
617C23—28no—
618C23—28no—
619C23—24no—
620C23—28no—
621C23—24no—
622C23—28no—
623C23—22no—
624C23—22no—
625C23—24no—
626C23—24no—
627C23—24no—
628C23—22no—
629C23—432no—
630C23—832no—
631C23—832no—
632C23—168no—
633C23—168no—
634C23C22×#41116yes—
635C23C2611yescharacteristic
636Q8—216no—
637Q8—164no—
638D4—232no—
639D4—232no—
640D4—416no—
641D4—432no—
642D4—432no—
643D4—44no—
644D4—416no—
645D4—84no—
646D4—816no—
647D4—832no—
648D4—168no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—28no—
660C2×C4—28no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—21no—
667C2×C4—24no—
668C2×C4—28no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—28no—
673C2×C4—216no—
674C2×C4—24no—
675C2×C4—28no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—48no—
679C2×C4—432no—
680C2×C4—416no—
681C2×C4—432no—
682C2×C4—416no—
683C2×C4—816no—
684C2×C4—1616no—
685C2×C4C22×#4114yes—
686C2×C4C22×#4114yes—
687C2×C4C22×#4114yes—
688C2×C4C2×H(5,𝔽2)14yes—
689C2×C4C2×H(5,𝔽2)12yes—
690C2×C4C2×H(5,𝔽2)18yes—
691C2×C4C2×H(5,𝔽2)12yes—
692C2×C4C2×H(5,𝔽2)14yes—
693C2×C4C2×H(5,𝔽2)14yes—
694C22—216no—
695C22—216no—
696C22—216no—
697C22—48no—
698C22—48no—
699C22—48no—
700C22—48no—
701C22—44no—
702C22—48no—
703C22—44no—
704C22—48no—
705C22—42no—
706C22—44no—
707C22—42no—
708C22—44no—
709C22—44no—
710C22—42no—
711C22—1632no—
712C22C23×#4112yes—
713C22C22×H(5,𝔽2)12yes—
714C22C22×H(5,𝔽2)11yescharacteristic
715C22C22×H(5,𝔽2)11yescharacteristic
716C222−1+611yescharacteristic
717C4—24no—
718C4—28no—
719C4—22no—
720C4—24no—
721C4—44no—
722C4—44no—
723C4—48no—
724C4—44no—
725C4—48no—
726C4—41no—
727C4—44no—
728C4—44no—
729C4#348114yes—
730C4#351918yes—
731C2—416no—
732C2—82no—
733C2—84no—
734C2C2×#348111yescharacteristic
735C2C2×#351912yes—
736C2#6291411yescharacteristic
737C2#6298412yes—
738C2#6304011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59816C2semidirect
2. #59650C2semidirect
3. #59412C2semidirect
4. #59220C2semidirect
5. #45088C2semidirect
6. #43478C2semidirect
7. #40173C2semidirect
8. #39191C2semidirect
9. #36559C2semidirect
10. #36464C2semidirect
11. #36258C2semidirect
12. #36187C2semidirect
13. #36004C2semidirect
14. #34976C2semidirect
15. #34954C2semidirect
16. #34310C2semidirect
17. C4×#550C2semidirect
18. C2×#555C22semidirect
19. C2×#554C22semidirect
21. C2×#546C22semidirect
24. C2×#518C22semidirect
25. C2×C4×#41C22semidirect
26. #2868C22semidirect
27. #2859C22semidirect
29. #2854C22semidirect
30. #2782C22semidirect
31. #2753C22semidirect
32. #2736C22semidirect
33. #2711C22semidirect
34. #2696C22semidirect
36. #2678C22semidirect
37. #2631C22semidirect
38. #2624C22semidirect
39. #2609C22semidirect
40. #2598C22semidirect
41. #2593C22semidirect
42. #2582C22semidirect
43. #2571C22semidirect
44. #2566C22semidirect
45. #2563C22semidirect
46. #2563C22semidirect
47. #2558C22semidirect
49. #2540C22semidirect
50. #2538C22semidirect
51. #2538C22semidirect
54. #2537C22semidirect
55. #2535C22semidirect
56. #2518C22semidirect
57. #2513C22semidirect
58. #2500C22semidirect
59. #2497C22semidirect
60. #2495C22semidirect
61. #2491C22semidirect
62. #2487C22semidirect
63. #2485C22semidirect
64. #2472C22semidirect
65. #2452C22semidirect
66. #2452C22semidirect
67. #2448C22semidirect
68. #2437C22semidirect
69. #2433C22semidirect
70. #2428C22semidirect
71. #2426C22semidirect
72. #2424C22semidirect
73. #2424C22semidirect
74. #2422C22semidirect
75. #2416C22semidirect
76. #2414C22semidirect
77. #2411C22semidirect
80. #2408C22semidirect
81. #2407C22semidirect
82. #2395C22semidirect
83. #2392C22semidirect
85. #2366C22semidirect
86. #2363C22semidirect
87. #2363C22semidirect
88. #2363C22semidirect
89. #2361C22semidirect
90. #2358C22semidirect
91. #2354C22semidirect
92. #2354C22semidirect
93. #2354C22semidirect
94. Q8×C4⋊C4C22semidirect
95. D4×C4⋊C4C22semidirect
96. D4×C4⋊C4C22semidirect
97. #2347C22semidirect
98. #2341C22semidirect
99. D4×C22⋊C4C22semidirect
100. D4×C22⋊C4C22semidirect
101. #2324C22semidirect
102. #2321C22semidirect
106. C4×#127C22semidirect
107. C4×#124C22semidirect
108. C4×C22⋊Q8C22semidirect
109. C4×#121C22semidirect
110. C4×#121C22semidirect
111. C4×#121C22semidirect
112. #2293C22semidirect
113. C2×#390C22semidirect
114. #2285C22semidirect
115. C42×Q8C22semidirect
116. C42×D4C22semidirect
117. C42×D4C22semidirect
339. #127#41semidirect

Maximal subgroups

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

subgroupindex
#598162
#596502
#594122
#592202
#450882
#434782
#401732
#391912
#365592
#364642
#362582
#361872
#360042
#349762
#349542
#343102
C4×#5502