Finite Group Databasebeta

← #8096694

Subgroups — #8096694

Order 512.

7166 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53090C212yesmaximal, complemented
2#52988C211yesmaximal, characteristic, complemented
3#52957C213yesmaximal, complemented
4#52472C214yesmaximal, complemented
5#52398C212yesmaximal, complemented
6#52309C216yesmaximal, complemented
7#52299C211yesmaximal, characteristic, complemented
8C2×#2675C212yesmaximal, complemented
9#45743C216yesmaximal, complemented
10#45608C216yesmaximal, complemented
11#45487C213yesmaximal, complemented
12#45444C2112yesmaximal, complemented
13#36237C213yesmaximal, complemented
14D4×#121C216yesmaximal, complemented
15#35921C211yesmaximal, characteristic, complemented
16#35914C212yesmaximal, complemented
17#35680C213yesmaximal, complemented
18C22×H(5,𝔽2)C2211yescharacteristic
19C2×#560C2216yescomplemented
20C2×#546C2213yes—
21C2×D42C2216yes—
22C2×D42C2213yescomplemented
23C22×#121C22112yescomplemented
24C22×C4×D4C2213yescomplemented
25#2856C2216yescomplemented
26#2855C2213yescomplemented
27#2849C2216yescomplemented
28#2847C22112yescomplemented
29#2842C2212yescomplemented
30#2829C22112yescomplemented
31#2828C2216yescomplemented
32#2826C2216yescomplemented
33#2825C2214yescomplemented
34#2824C2216yescomplemented
35#2815C22112yescomplemented
36#2815C2216yescomplemented
37#2813C22112yescomplemented
38#2801C2212yescomplemented
39#2784C2216yescomplemented
40#2780C22112yescomplemented
41#2760C2211yescharacteristic, complemented
42#2752C2213yescomplemented
43#2742C2213yescomplemented
44#2714C22112yescomplemented
45#2714C22112yescomplemented
46#2703C2216yescomplemented
47#2699C22112yescomplemented
48#2691C22112yescomplemented
49#2688C22112yescomplemented
50#2688C22112yescomplemented
51#2678C22112yescomplemented
52#2675C22112yescomplemented
53#2675C2211yescharacteristic, complemented
54#2675C2216yescomplemented
55#2675C2214yescomplemented
56#2675C2212yescomplemented
57#2675C2216yescomplemented
58#2673C22112yescomplemented
59#2669C2216yescomplemented
60#2668C2216yescomplemented
61#2657C2211yescharacteristic, complemented
62#2656C2212yescomplemented
63#2644C2212yescomplemented
64#2643C2214yescomplemented
65#2615C2213yescomplemented
66#2613C2216yescomplemented
67#2541C2213yescomplemented
68#2541C2216yescomplemented
69#2540C2213yescomplemented
70#2539C2216yescomplemented
71#2537C2216yescomplemented
72#2512C2216yescomplemented
73#2502C2213yescomplemented
74#2497C2216yescomplemented
75#2487C2213yescomplemented
76#2483C2216yescomplemented
77#2481C22112yescomplemented
78#2480C22112yescomplemented
79#2447C2216yescomplemented
80#2443C22112yescomplemented
81#2433C2216yescomplemented
82#2433C2213yescomplemented
83#2431C2216yescomplemented
84#2430C2216yescomplemented
85#2428C2216yescomplemented
86#2428C2216yescomplemented
87#2424C22112yescomplemented
88#2424C22112yescomplemented
89#2422C2216yescomplemented
90#2419C22112yescomplemented
91#2416C2216yescomplemented
92#2416C2216yescomplemented
93#2416C22112yescomplemented
94#2412C2216yescomplemented
95#2410C22112yescomplemented
96#2410C22112yescomplemented
97#2410C22112yescomplemented
98#2408C22112yescomplemented
99#2408C2213yescomplemented
100#2407C2216yescomplemented
101#2404C2216yescomplemented
102#2403C22112yescomplemented
103#2401C2212yescomplemented
104#2397C2211yescharacteristic, complemented
105C2×#396C2214yescomplemented
106#2388C2213yescomplemented
107C2×#392C2212yescomplemented
108C2×#392C2216yescomplemented
109#2377C22112yescomplemented
110D4×C4⋊C4C2216yescomplemented
111#2339C2213yes—
112D4×C22⋊C4C2216yes—
113D4×C22⋊C4C2213yescomplemented
114C4×#123C2213yescomplemented
115C4×#121C2216yescomplemented
116C2×#385C2216yescomplemented
117#2275C2211yescharacteristic, complemented
118C2×H(5,𝔽2)—412no—
119C22×#41C2311yescharacteristic
120C22×#41C2311yescharacteristic
121C22×#41C2312yes—
122C22×#41C2312yes—
123C23×D4C2312yes—
124C23×D4C2313yes—
125C23×D4C2312yes—
126C23×D4C2314yes—
127C23×D4C2311yescharacteristic
128C23×D4C23112yes—
129C23×D4C2316yes—
130C24×C4C2316yes—
131#560—424no—
132#546—412no—
133D42—424no—
134D42—412no—
135C2×#127C2316yes—
136C2×#127C2313yes—
137C2×#127C2316yes—
138C2×#126C23112yes—
139C2×#124C2313yes—
140C2×#123C2313yes—
141C2×#123C23112yes—
142C2×#123C2316yes—
143C2×C22⋊Q8C2313yes—
144C2×#121—448no—
145C2×#121C23112yes—
146C2×#121C2316yes—
147C2×#121C23112yes—
148C2×#121C23112yes—
149C2×#121C23112yes—
150C2×#121C2316yes—
151C2×#121C23112yes—
152C2×#121C2316yes—
153C2×#121C2316yes—
154C2×#121C2313yes—
155C2×#121C2316yes—
156C2×#121C2316yes—
157C2×#121C23112yes—
158C2×#121C23112yes—
159C2×#121C23112yes—
160C2×#121C23112yes—
161C2×#121C23112yes—
162C2×#120C23112yes—
163C2×#120C23112yes—
164C2×#120C2316yes—
165C2×#120C23112yes—
166C2×#120C2316yes—
167C2×#120C23112yes—
168C2×C4×D4—412no—
169C2×C4×D4C2313yes—
170C2×C4×D4C2316yes—
171C2×C4×D4C2313yes—
172C2×C4×D4C2316yes—
173C2×C4×D4C2313yes—
174C2×C4×D4C23112yes—
175C2×C4×D4C2316yes—
176C22×C4⋊C4C23112yes—
177C22×C4⋊C4C2313yes—
178C22×C22⋊C4C2316yes—
179C22×C22⋊C4C23112yes—
180C22×C22⋊C4C2316yes—
181C22×C22⋊C4C2316yes—
182C22×C42C2313yes—
183#401C2312yes—
184#400C23112yes—
185#400C2316yes—
186#400C2316yes—
187#399C2313yes—
188#399C2316yes—
189#399C2311yescharacteristic
190#399C2316yes—
191#398C23112yes—
192#397C23112yes—
193#397C23112yes—
194#397C23112yes—
195#397C23112yes—
196#397C2316yes—
197#397C23112yes—
198#396C2314yes—
199#396C23112yes—
200#396C23112yes—
201#396C2312yes—
202#396C23112yes—
203#396C23112yes—
204#395C2313yes—
205#394C23112yes—
206#394C23112yes—
207#394C2316yes—
208#394C23112yes—
209#394C2313yes—
210#394C23112yes—
211#394C23112yes—
212#394C23112yes—
213#394C23112yes—
214#394C2316yes—
215#394C23112yes—
216#393C2316yes—
217#393C2313yes—
218#392C2316yes—
219#392C2312yes—
220#392C23112yes—
221#392C2316yes—
222#392C2316yes—
223#392C23112yes—
224#392C23112yes—
225#392C23112yes—
226#392C2316yes—
227#392C23112yes—
228#392C2313yes—
229#392C2311yescharacteristic
230#392C23112yes—
231#392C2316yes—
232#392C2316yes—
233#392C2316yes—
234#392C2313yes—
235#392C2316yes—
236#392C2316yes—
237#392C23112yes—
238#392C23112yes—
239#391C2316yes—
240#390C2316yes—
241#390C23112yes—
242#390C2316yes—
243#390C2316yes—
244#390C2316yes—
245#390C23112yes—
246#390C23112yes—
247#390C2316yes—
248#389C2316yes—
249#389C2316yes—
250#389C2316yes—
251#388C23112yes—
252#388C2316yes—
253#388C2316yes—
254#388C23112yes—
255#388C2316yes—
256#387C23112yes—
257#387C23112yes—
258#387C2316yes—
259#386C23112yes—
260#386C23112yes—
261#386C23112yes—
262#386C23112yes—
263#386C23112yes—
264#386C23112yes—
265#386C23112yes—
266#386C2313yes—
267#386C23112yes—
268#386C2316yes—
269#386C23112yes—
270#386C23112yes—
271#386C23112yes—
272#386C2316yes—
273#386C2316yes—
274#385C2316yes—
275#385C2316yes—
276#385C23112yes—
277#385C2316yes—
278#385C23112yes—
279#385C2316yes—
280#385C23112yes—
281#385C23112yes—
282#385C2313yes—
283#385C23112yes—
284#384C2316yes—
285#381C23112yes—
286#381C2316yes—
287#381C2316yes—
288#381C2313yes—
289#380C2316yes—
290#380C23112yes—
291#380C23112yes—
292#380C2316yes—
293#380C2313yes—
294#380C2313yes—
295#379C2316yes—
296#379C2316yes—
297#379C23112yes—
298C4×C4⋊C4C2316yes—
299C4×C4⋊C4C2313yes—
300C4×C22⋊C4C2316yes—
301C4×C22⋊C4C2313yes—
302C4×C22⋊C4C2313yes—
303C4×C22⋊C4C2316yes—
304#376C2311yescharacteristic
305C2×#95C2316yes—
306C2×#95C2312yes—
307C25C2416yes—
308C25C2414yes—
309C25C2412yes—
310H(5,𝔽2)—464no—
311C2×#41—212no—
312C2×#41—46no—
313C2×#41—412no—
314C2×#41—412no—
315C22×Q8C2411yescharacteristic
316C22×Q8C2411yescharacteristic
317C22×D4—212no—
318C22×D4—224no—
319C22×D4—224no—
320C22×D4—46no—
321C22×D4—424no—
322C22×D4—412no—
323C22×D4—424no—
324C22×D4—412no—
325C22×D4—424no—
326C22×D4—424no—
327C22×D4—424no—
328C22×D4C2416yes—
329C22×D4C2413yes—
330C22×D4C2414yes—
331C22×D4C2412yes—
332C22×D4C2412yes—
333C22×D4C2413yes—
334C22×D4C2416yes—
335C22×D4C2413yes—
336C22×D4C24112yes—
337C22×D4C24112yes—
338C22×D4C24112yes—
339C22×D4C2416yes—
340C22×D4C24112yes—
341C22×D4C2416yes—
342C22×D4C24112yes—
343C22×D4C2416yes—
344C22×D4C2411yescharacteristic
345C22×D4C2414yes—
346C22×D4C2412yes—
347C22×D4C2412yes—
348C22×D4C2411yescharacteristic
349C23×C4—424no—
350C23×C4—412no—
351C23×C4C2412yes—
352C23×C4C2413yes—
353C23×C4C2412yes—
354C23×C4C2411yescharacteristic
355C23×C4C24112yes—
356C23×C4C2413yes—
357C23×C4C2416yes—
358C23×C4C2413yes—
359C23×C4C24112yes—
360C23×C4C2416yes—
361C23×C4C2414yes—
362#127—412no—
363#127—46no—
364#127—412no—
365#126—424no—
366#124—46no—
367#123—212no—
368#123—424no—
369#123—412no—
370C22⋊Q8—46no—
371#121—224no—
372#121—248no—
373#121—424no—
374#121—424no—
375#121—424no—
376#121—424no—
377#121—424no—
378#121—424no—
379#121—412no—
380#121—412no—
381#121—412no—
382#121—46no—
383#121—424no—
384#121—424no—
385#121—412no—
386#121—412no—
387#121—424no—
388#120—424no—
389#120—424no—
390#120—424no—
391#120—424no—
392#120—412no—
393#120—412no—
394C4×D4—224no—
395C4×D4—212no—
396C4×D4—412no—
397C4×D4—412no—
398C4×D4—46no—
399C4×D4—46no—
400C4×D4—424no—
401C2×C4⋊C4—46no—
402C2×C4⋊C4—424no—
403C2×C4⋊C4C2416yes—
404C2×C4⋊C4C2416yes—
405C2×C4⋊C4C24112yes—
406C2×C4⋊C4C2413yes—
407C2×C4⋊C4C2416yes—
408C2×C4⋊C4C2416yes—
409C2×C4⋊C4C24112yes—
410C2×C4⋊C4C24112yes—
411C2×C4⋊C4C2416yes—
412C2×C4⋊C4C2413yes—
413C2×C4⋊C4C2413yes—
414C2×C4⋊C4C2416yes—
415C2×C4⋊C4C24112yes—
416C2×C22⋊C4—224no—
417C2×C22⋊C4—424no—
418C2×C22⋊C4—412no—
419C2×C22⋊C4—412no—
420C2×C22⋊C4C2416yes—
421C2×C22⋊C4C24112yes—
422C2×C22⋊C4C24112yes—
423C2×C22⋊C4C2416yes—
424C2×C22⋊C4C24112yes—
425C2×C22⋊C4C2416yes—
426C2×C22⋊C4C2416yes—
427C2×C22⋊C4C2413yes—
428C2×C22⋊C4C24112yes—
429C2×C22⋊C4C2416yes—
430C2×C22⋊C4C24112yes—
431C2×C22⋊C4C24112yes—
432C2×C22⋊C4C2416yes—
433C2×C22⋊C4C2416yes—
434C2×C22⋊C4C2416yes—
435C2×C22⋊C4C2416yes—
436C2×C22⋊C4C2416yes—
437C2×C22⋊C4C2413yes—
438C2×C22⋊C4C24112yes—
439C2×C22⋊C4C24112yes—
440C2×C22⋊C4C24112yes—
441C2×C22⋊C4C24112yes—
442C2×C22⋊C4C24112yes—
443C2×C22⋊C4C2416yes—
444C2×C22⋊C4C2416yes—
445C2×C22⋊C4C24112yes—
446C2×C22⋊C4C2413yes—
447C2×C22⋊C4C2416yes—
448C2×C22⋊C4C2413yes—
449C2×C42—46no—
450C2×C42C2413yes—
451C2×C42C2416yes—
452C2×C42C2416yes—
453C2×C42C2416yes—
454#95C2411yescharacteristic
455#95C2413yes—
456#95C2416yes—
457#95C2416yes—
458#95C24112yes—
459#95C2413yes—
460#95C2416yes—
461#95C2416yes—
462#95C2413yes—
463#95C2416yes—
464#95C2416yes—
465#95C2416yes—
466#95C2416yes—
467#95C24112yes—
468#95C24112yes—
469#95C24112yes—
470#95C24112yes—
471C24—212no—
472C24—212no—
473C24—224no—
474C24—224no—
475C24—412no—
476C24—46no—
477C24—46no—
478C24—412no—
479C24—44no—
480C24—46no—
481C24—42no—
482C24C2511yescharacteristic
483C24C2514yes—
484C24C2512yes—
485C24C2516yes—
486C24C2513yes—
487C24C2512yes—
488#41—432no—
489#41—432no—
490#41—416no—
491#41—416no—
492C2×Q8—26no—
493C2×Q8—43no—
494C2×D4—212no—
495C2×D4—224no—
496C2×D4—224no—
497C2×D4—212no—
498C2×D4—212no—
499C2×D4—212no—
500C2×D4—26no—
501C2×D4—224no—
502C2×D4—224no—
503C2×D4—26no—
504C2×D4—212no—
505C2×D4—212no—
506C2×D4—212no—
507C2×D4—224no—
508C2×D4—46no—
509C2×D4—43no—
510C2×D4—43no—
511C2×D4—46no—
512C2×D4—46no—
513C2×D4—412no—
514C2×D4—43no—
515C2×D4—412no—
516C2×D4—412no—
517C2×D4—412no—
518C2×D4—412no—
519C2×D4—412no—
520C2×D4—412no—
521C2×D4—412no—
522C2×D4—412no—
523C2×D4—412no—
524C2×D4—412no—
525C2×D4—46no—
526C2×D4—43no—
527C2×D4—412no—
528C2×D4—46no—
529C2×D4—412no—
530C2×D4—46no—
531C2×D4—412no—
532C2×D4—46no—
533C2×D4—412no—
534C2×D4—46no—
535C2×D4—464no—
536C2×D4—432no—
537C2×D4—416no—
538C2×D4—448no—
539C2×D4—432no—
540C2×D4—896no—
541C2×D4—848no—
542C2×D4H(5,𝔽2)112yes—
543C22×C4—212no—
544C22×C4—224no—
545C22×C4—212no—
546C22×C4—26no—
547C22×C4—26no—
548C22×C4—224no—
549C22×C4—212no—
550C22×C4—212no—
551C22×C4—26no—
552C22×C4—212no—
553C22×C4—224no—
554C22×C4—43no—
555C22×C4—412no—
556C22×C4—412no—
557C22×C4—43no—
558C22×C4—46no—
559C22×C4—412no—
560C22×C4—412no—
561C22×C4—412no—
562C22×C4—412no—
563C22×C4—43no—
564C22×C4—848no—
565C22×C4C2511yescharacteristic
566C22×C4C2512yes—
567C22×C4C2512yes—
568C22×C4C2513yes—
569C22×C4C2516yes—
570C22×C4C2513yes—
571C22×C4C25112yes—
572C22×C4C2516yes—
573C22×C4C2513yes—
574C22×C4C2516yes—
575C22×C4C2511yescharacteristic
576C4⋊C4—212no—
577C4⋊C4—212no—
578C4⋊C4—224no—
579C4⋊C4—26no—
580C4⋊C4—212no—
581C4⋊C4—46no—
582C4⋊C4—412no—
583C4⋊C4—412no—
584C4⋊C4—46no—
585C4⋊C4—43no—
586C4⋊C4—43no—
587C4⋊C4—46no—
588C4⋊C4—412no—
589C22⋊C4—212no—
590C22⋊C4—224no—
591C22⋊C4—212no—
592C22⋊C4—224no—
593C22⋊C4—212no—
594C22⋊C4—224no—
595C22⋊C4—212no—
596C22⋊C4—43no—
597C22⋊C4—412no—
598C22⋊C4—46no—
599C22⋊C4—412no—
600C22⋊C4—412no—
601C22⋊C4—46no—
602C22⋊C4—46no—
603C22⋊C4—43no—
604C22⋊C4—46no—
605C22⋊C4—46no—
606C22⋊C4—46no—
607C22⋊C4—46no—
608C22⋊C4—43no—
609C22⋊C4—412no—
610C22⋊C4—412no—
611C22⋊C4—412no—
612C22⋊C4—412no—
613C22⋊C4—412no—
614C22⋊C4—46no—
615C22⋊C4—46no—
616C22⋊C4—412no—
617C22⋊C4H(5,𝔽2)112yescomplemented
618C42—212no—
619C42—26no—
620C42—46no—
621C42—46no—
622C23—26no—
623C23—22no—
624C23—23no—
625C23—26no—
626C23—26no—
627C23—23no—
628C23—23no—
629C23—26no—
630C23—212no—
631C23—26no—
632C23—26no—
633C23—212no—
634C23—212no—
635C23—23no—
636C23—26no—
637C23—212no—
638C23—22no—
639C23—26no—
640C23—21no—
641C23—24no—
642C23—448no—
643C23—424no—
644C23—48no—
645C23—424no—
646C23—416no—
647C23—812no—
648C23—824no—
649C23—824no—
650C23—824no—
651C23—166no—
652C23—166no—
653C23C2×H(5,𝔽2)16yes—
654C23C2×H(5,𝔽2)112yes—
655C23C2611yescharacteristic
656Q8—44no—
657Q8—44no—
658D4—424no—
659D4—412no—
660D4—48no—
661D4—44no—
662D4—48no—
663D4—416no—
664D4—424no—
665D4—416no—
666D4—48no—
667D4—412no—
668D4—48no—
669D4—824no—
670D4—86no—
671D4—824no—
672D4—824no—
673D4—824no—
674D4—812no—
675D4—166no—
676D4—1612no—
677D4—166no—
678D4#560116yescomplemented
679C2×C4—26no—
680C2×C4—26no—
681C2×C4—26no—
682C2×C4—23no—
683C2×C4—23no—
684C2×C4—23no—
685C2×C4—23no—
686C2×C4—212no—
687C2×C4—212no—
688C2×C4—26no—
689C2×C4—26no—
690C2×C4—212no—
691C2×C4—26no—
692C2×C4—26no—
693C2×C4—212no—
694C2×C4—23no—
695C2×C4—26no—
696C2×C4—26no—
697C2×C4—26no—
698C2×C4—23no—
699C2×C4—412no—
700C2×C4—448no—
701C2×C4—416no—
702C2×C4—48no—
703C2×C4—412no—
704C2×C4—48no—
705C2×C4—44no—
706C2×C4—824no—
707C2×C4—86no—
708C2×C4—812no—
709C2×C4—812no—
710C2×C4C2×H(5,𝔽2)112yes—
711C2×C4C2×H(5,𝔽2)16yes—
712C22—212no—
713C22—212no—
714C22—212no—
715C22—26no—
716C22—43no—
717C22—46no—
718C22—43no—
719C22—46no—
720C22—46no—
721C22—412no—
722C22—412no—
723C22—43no—
724C22—43no—
725C22—412no—
726C22—412no—
727C22—46no—
728C22—46no—
729C22—44no—
730C22—42no—
731C22—41no—
732C22—46no—
733C22—848no—
734C22—1616no—
735C22—168no—
736C22C2×#56018yes—
737C22C22×H(5,𝔽2)13yes—
738C22C22×H(5,𝔽2)13yes—
739C222−1+611yescharacteristic
740C4—212no—
741C4—412no—
742C4—43no—
743C4—46no—
744C4—46no—
745C4—43no—
746C4—41no—
747C4—42no—
748C4—42no—
749C4—43no—
750C4C2×#56014yes—
751C2—28no—
752C2—46no—
753C2—86no—
754C2—82no—
755C2—84no—
756C2—81no—
757C2C22×#56011yescharacteristic
758C2#6291413yes—
759C2#6301113yes—
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. #53090C2semidirect
2. #52988C2semidirect
3. #52957C2semidirect
4. #52472C2semidirect
5. #52398C2semidirect
6. #52309C2semidirect
7. #52299C2semidirect
8. C2×#2675C2semidirect
9. #45743C2semidirect
10. #45608C2semidirect
11. #45487C2semidirect
12. #45444C2semidirect
13. #36237C2semidirect
14. D4×#121C2semidirect
15. #35921C2semidirect
16. #35914C2semidirect
17. #35680C2semidirect
19. C2×#560C22semidirect
22. C2×D42C22semidirect
23. C22×#121C22semidirect
24. C22×C4×D4C22semidirect
25. #2856C22semidirect
26. #2855C22semidirect
27. #2849C22semidirect
28. #2847C22semidirect
29. #2842C22semidirect
30. #2829C22semidirect
31. #2828C22semidirect
32. #2826C22semidirect
33. #2825C22semidirect
34. #2824C22semidirect
35. #2815C22semidirect
36. #2815C22semidirect
37. #2813C22semidirect
38. #2801C22semidirect
39. #2784C22semidirect
40. #2780C22semidirect
41. #2760C22semidirect
42. #2752C22semidirect
43. #2742C22semidirect
44. #2714C22semidirect
45. #2714C22semidirect
46. #2703C22semidirect
47. #2699C22semidirect
48. #2691C22semidirect
49. #2688C22semidirect
50. #2688C22semidirect
51. #2678C22semidirect
52. #2675C22semidirect
53. #2675C22semidirect
54. #2675C22semidirect
55. #2675C22semidirect
56. #2675C22semidirect
57. #2675C22semidirect
58. #2673C22semidirect
59. #2669C22semidirect
60. #2668C22semidirect
61. #2657C22semidirect
62. #2656C22semidirect
63. #2644C22semidirect
64. #2643C22semidirect
65. #2615C22semidirect
66. #2613C22semidirect
67. #2541C22semidirect
68. #2541C22semidirect
69. #2540C22semidirect
70. #2539C22semidirect
71. #2537C22semidirect
72. #2512C22semidirect
73. #2502C22semidirect
74. #2497C22semidirect
75. #2487C22semidirect
76. #2483C22semidirect
77. #2481C22semidirect
78. #2480C22semidirect
79. #2447C22semidirect
80. #2443C22semidirect
81. #2433C22semidirect
82. #2433C22semidirect
83. #2431C22semidirect
84. #2430C22semidirect
85. #2428C22semidirect
86. #2428C22semidirect
87. #2424C22semidirect
88. #2424C22semidirect
89. #2422C22semidirect
90. #2419C22semidirect
91. #2416C22semidirect
92. #2416C22semidirect
93. #2416C22semidirect
94. #2412C22semidirect
95. #2410C22semidirect
96. #2410C22semidirect
97. #2410C22semidirect
98. #2408C22semidirect
99. #2408C22semidirect
100. #2407C22semidirect
101. #2404C22semidirect
102. #2403C22semidirect
103. #2401C22semidirect
104. #2397C22semidirect
105. C2×#396C22semidirect
106. #2388C22semidirect
107. C2×#392C22semidirect
108. C2×#392C22semidirect
109. #2377C22semidirect
110. D4×C4⋊C4C22semidirect
113. D4×C22⋊C4C22semidirect
114. C4×#123C22semidirect
115. C4×#121C22semidirect
116. C2×#385C22semidirect
117. #2275C22semidirect
617. C22⋊C4H(5,𝔽2)semidirect
678. D4#560semidirect

Maximal subgroups

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

subgroupindex
#530902
#529882
#529572
#524722
#523982
#523092
#522992
C2×#26752
#457432
#456082
#454872
#454442
#362372
D4×#1212
#359212
#359142
#356802