Finite Group Databasebeta

← #7703071

Subgroups — #7703071

Order 512.

6306 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52297C216yesmaximal, complemented
2#52293C216yesmaximal, complemented
3#46342C213yesmaximal, complemented
4#46339C216yesmaximal, complemented
5#46338C213yesmaximal, complemented
6#46335C216yesmaximal, complemented
7#46334C216yesmaximal, complemented
8#46333C212yesmaximal, complemented
9#46330C211yesmaximal, characteristic, complemented
10#46328C211yesmaximal, characteristic, complemented
11#46327C212yesmaximal, complemented
12#46324C212yesmaximal, complemented
13#36696C212yesmaximal, complemented
14#36641C212yesmaximal, complemented
15#34809C213yesmaximal, complemented
16#34737C216yesmaximal, complemented
17#34736C213yesmaximal, complemented
18C4×#560C212yesmaximal, complemented
19C2×C4×#127C211yesmaximal, characteristic, complemented
20C23×#41C2211yescharacteristic
21C2×#560C2212yes—
22C22×#127C2211yescharacteristic
23C2×#525C2216yes—
24C22×C4×D4C2213yes—
25C22×C4×D4C2213yescomplemented
26C22×#117C2213yescomplemented
27#2863C2216yescomplemented
28#2863C2212yescomplemented
29#2860C2216yescomplemented
30#2860C2212yescomplemented
31#2852C2214yescomplemented
32#2852C22112yescomplemented
33#2843C2212yescomplemented
34#2830C2216yescomplemented
35#2829C22112yescomplemented
36#2828C2216yescomplemented
37#2823C2212yescomplemented
38#2818C2214yescomplemented
39#2803C22112yescomplemented
40#2797C22112yescomplemented
41#2795C2216yescomplemented
42#2792C2216yescomplemented
43#2790C22112yescomplemented
44#2784C2216yescomplemented
45#2757C22112yescomplemented
46#2756C22112yescomplemented
47#2749C22112yescomplemented
48#2748C2216yescomplemented
49#2737C22112yescomplemented
50#2714C22112yescomplemented
51#2709C2216yes—
52#2705C22112yescomplemented
53#2699C2216yescomplemented
54#2697C2216yescomplemented
55#2691C22112yescomplemented
56#2685C22112yescomplemented
57#2673C22112yescomplemented
58#2669C2216yes—
59#2487C2213yescomplemented
60#2487C2213yescomplemented
61#2486C2213yescomplemented
62#2486C2213yescomplemented
63#2485C2216yescomplemented
64#2485C2216yescomplemented
65#2484C2216yescomplemented
66#2483C2216yescomplemented
67#2482C2216yes—
68#2417C2216yescomplemented
69#2417C2216yescomplemented
70#2416C2216yescomplemented
71#2416C2216yescomplemented
72#2415C2216yescomplemented
73#2415C2216yescomplemented
74#2414C2216yescomplemented
75#2414C2216yescomplemented
76#2413C22112yescomplemented
77#2412C22112yescomplemented
78#2411C22112yescomplemented
79#2410C22112yescomplemented
80#2409C2213yescomplemented
81#2409C2213yescomplemented
82#2408C2213yescomplemented
83#2408C2213yescomplemented
84#2407C2216yescomplemented
85#2407C2216yescomplemented
86#2406C2216yes—
87#2405C2216yes—
88#2405C2216yes—
89#2404C2216yes—
90#2403C2216yes—
91#2395C2216yescomplemented
92#2395C2216yescomplemented
93#2392C22112yescomplemented
94#2392C22112yescomplemented
95#2388C2216yescomplemented
96#2388C2216yescomplemented
97#2383C2214yescomplemented
98#2380C2212yes—
99#2377C22112yescomplemented
100#2376C2216yescomplemented
101#2375C2216yescomplemented
102C4×#127C2213yes—
103C4×#127C2211yescharacteristic
104C4×#127C2213yes—
105C4×#127C2211yescharacteristic
106C4×#127C2213yescomplemented
107C4×#127C2213yescomplemented
108C4×#127C2211yescharacteristic, complemented
109C4×#127C2211yescharacteristic, complemented
110C4×#126C2214yescomplemented
111C4×#126C22112yescomplemented
112C4×#123C2216yescomplemented
113C4×#123C2216yescomplemented
114C4×#121C22112yescomplemented
115C4×#121C22112yescomplemented
116C4×#120C2216yescomplemented
117C4×#120C2216yescomplemented
118#2297C2216yes—
119#2296C2216yescomplemented
120C2×#390C2213yes—
121C2×#390C2213yescomplemented
122C2×#384C2211yescharacteristic, complemented
123#2280C2213yes—
124#2280C2213yescomplemented
125C2×C43C2211yescharacteristic, complemented
126C22×#41—412no—
127C22×#41C2312yes—
128C22×#41C2312yes—
129C22×#41C2312yes—
130C22×#41C2312yes—
131C23×Q8C2311yescharacteristic
132C23×D4C2313yes—
133C23×D4C2313yes—
134C23×D4C2312yes—
135C23×D4C2311yescharacteristic
136C24×C4C2311yescharacteristic
137C24×C4C2313yes—
138C24×C4C2312yes—
139#560—216no—
140C2×#127—28no—
141C2×#127C2313yes—
142C2×#127C2311yescharacteristic
143C2×#127C2313yes—
144C2×#127C2311yescharacteristic
145C2×#126C2314yes—
146C2×#126C23112yes—
147#525—424no—
148C2×#123C2316yes—
149C2×#123C23112yes—
150C2×#123C2316yes—
151C2×C22⋊Q8C2316yes—
152C2×C22⋊Q8C2316yes—
153C2×#121C23112yes—
154C2×#121C2316yes—
155C2×#121C2316yes—
156C2×#121C23112yes—
157C2×#120C2316yes—
158C2×#120C23112yes—
159C2×#120C2316yes—
160C2×C4×D4—412no—
161C2×C4×D4—412no—
162C2×C4×D4C2313yes—
163C2×C4×D4C2313yes—
164C2×C4×D4C2313yes—
165C2×C4×D4C2313yes—
166C2×C4×D4C2313yes—
167C2×C4×D4C2316yes—
168C2×C4×D4C2313yes—
169C2×C4×D4C2316yes—
170C2×C4×D4C2313yes—
171C2×C4×D4C2313yes—
172C2×C4×D4C2313yes—
173C2×C4×D4C2313yes—
174C2×C4×D4C2313yes—
175C2×C4×D4C2313yes—
176C2×C4×D4C23112yes—
177C2×C4×D4C23112yes—
178C2×#117—412no—
179C2×#117C2316yes—
180C2×#117C2316yes—
181C2×#117C2316yes—
182C2×#117C2316yes—
183C22×C4⋊C4C2313yes—
184C22×C4⋊C4C2313yes—
185C22×C4⋊C4C2313yes—
186C22×C4⋊C4C2313yes—
187C22×C22⋊C4C2316yes—
188C22×C22⋊C4C2313yes—
189C22×C22⋊C4C2313yes—
190C22×C22⋊C4C2316yes—
191C22×C42C2311yescharacteristic
192C22×C42C2313yes—
193C22×C42C2313yes—
194C22×C42C2316yes—
195#400C2316yes—
196#400C2316yes—
197#399C2316yes—
198#399C2316yes—
199#398C2316yes—
200#398C23112yes—
201#398C23112yes—
202#398C2316yes—
203#397C23112yes—
204#397C2316yes—
205#397C23112yes—
206#397C23112yes—
207#397C23112yes—
208#397C2316yes—
209#396C23112yes—
210#396C23112yes—
211#396C23112yes—
212#396C23112yes—
213#395C2316yes—
214#395C2316yes—
215#394C23112yes—
216#394C23112yes—
217#394C2316yes—
218#394C23112yes—
219#394C23112yes—
220#394C23112yes—
221#394C23112yes—
222#394C2316yes—
223#394C23112yes—
224#394C23112yes—
225#394C23112yes—
226#394C23112yes—
227#393C2316yes—
228#393C2316yes—
229#392C23112yes—
230#392C23112yes—
231#392C2316yes—
232#392C23112yes—
233#392C2316yes—
234#392C23112yes—
235#391C2316yes—
236#391C2316yes—
237#390C2313yes—
238#390C2316yes—
239#390C2313yes—
240#390C2313yes—
241#390C2313yes—
242#390C2316yes—
243#390C2313yes—
244#390C2316yes—
245#390C2313yes—
246#390C2313yes—
247#390C2316yes—
248#390C2313yes—
249#390C2316yes—
250#390C2316yes—
251#390C23112yes—
252#390C23112yes—
253#389C2316yes—
254#389C2316yes—
255#389C2316yes—
256#389C2316yes—
257#389C23112yes—
258#389C23112yes—
259#388C23112yes—
260#388C23112yes—
261#388C23112yes—
262#388C23112yes—
263#388C23112yes—
264#388C23112yes—
265#388C23112yes—
266#388C23112yes—
267#388C23112yes—
268#388C23112yes—
269#387C23112yes—
270#387C23112yes—
271#387C23112yes—
272#387C23112yes—
273#387C23112yes—
274#387C23112yes—
275#386C23112yes—
276#386C23112yes—
277#386C23112yes—
278#386C2316yes—
279#386C2316yes—
280#386C23112yes—
281#386C23112yes—
282#386C2316yes—
283#386C23112yes—
284#386C2316yes—
285#386C23112yes—
286#386C23112yes—
287#385C23112yes—
288#385C23112yes—
289#385C2316yes—
290#385C2316yes—
291#385C23112yes—
292#385C2316yes—
293#385C23112yes—
294#385C2316yes—
295#384C2311yescharacteristic
296#384C2311yescharacteristic
297#384C2313yes—
298#384C2313yes—
299#383C2314yes—
300#383C23112yes—
301#381C2316yes—
302#381C2316yes—
303#381C2316yes—
304#381C2316yes—
305#380C23112yes—
306#380C2316yes—
307#380C2313yes—
308#380C2313yes—
309#380C23112yes—
310#380C2313yes—
311#380C2316yes—
312#380C2313yes—
313#379C2316yes—
314#379C2316yes—
315#379C2316yes—
316#379C2316yes—
317C4×C4⋊C4C23112yes—
318C4×C4⋊C4C23112yes—
319C4×C22⋊C4C23112yes—
320C4×C22⋊C4C23112yes—
321C4×C22⋊C4C2316yes—
322C4×C22⋊C4C2316yes—
323C4×C22⋊C4C2316yes—
324C4×C22⋊C4C2316yes—
325C43C2313yes—
326C43C2311yescharacteristic
327C43C2313yes—
328C43C2311yescharacteristic
329C25C2413yes—
330C25C2411yescharacteristic
331C25C2412yes—
332C2×#41—224no—
333C2×#41—412no—
334C2×#41—412no—
335C2×#41—412no—
336C2×#41—464no—
337C22×Q8—46no—
338C22×Q8C2412yes—
339C22×Q8C2412yes—
340C22×D4—212no—
341C22×D4—212no—
342C22×D4—46no—
343C22×D4—46no—
344C22×D4—46no—
345C22×D4—46no—
346C22×D4—46no—
347C22×D4—412no—
348C22×D4C2414yes—
349C22×D4C2412yes—
350C22×D4C2413yes—
351C22×D4C2416yes—
352C22×D4C2413yes—
353C22×D4C2413yes—
354C22×D4C2413yes—
355C22×D4C24112yes—
356C22×D4C24112yes—
357C22×D4C2414yes—
358C22×D4C2412yes—
359C22×D4C2413yes—
360C22×D4C2413yes—
361C23×C4—212no—
362C23×C4—224no—
363C23×C4—212no—
364C23×C4—412no—
365C23×C4C2413yes—
366C23×C4C2411yescharacteristic
367C23×C4C2413yes—
368C23×C4C2413yes—
369C23×C4C2413yes—
370C23×C4C2411yescharacteristic
371C23×C4C2411yescharacteristic
372C23×C4C2413yes—
373C23×C4C2413yes—
374C23×C4C2411yescharacteristic
375C23×C4C2411yescharacteristic
376C23×C4C2414yes—
377C23×C4C2413yes—
378C23×C4C2416yes—
379C23×C4C2416yes—
380C23×C4C2412yes—
381C23×C4C2414yes—
382C23×C4C2411yescharacteristic
383#127—212no—
384#127—212no—
385#127—24no—
386#127#4118yescomplemented
387#126—216no—
388#126—424no—
389#123—224no—
390#123—424no—
391#123—412no—
392C22⋊Q8—412no—
393C22⋊Q8—412no—
394#121—248no—
395#121—424no—
396#121—412no—
397#121—412no—
398#120—224no—
399#120—412no—
400#120—424no—
401C4×D4—46no—
402C4×D4—46no—
403C4×D4—46no—
404C4×D4—46no—
405C4×D4—46no—
406C4×D4—46no—
407C4×D4—46no—
408C4×D4—46no—
409C4×D4—46no—
410C4×D4—412no—
411C4×D4—46no—
412C4×D4—46no—
413C4×D4—412no—
414C4×D4—46no—
415C4×D4—424no—
416C4×D4—424no—
417#117—224no—
418#117—412no—
419#117—412no—
420#117—412no—
421C2×C4⋊C4—46no—
422C2×C4⋊C4—46no—
423C2×C4⋊C4—46no—
424C2×C4⋊C4—46no—
425C2×C4⋊C4C2416yes—
426C2×C4⋊C4C2416yes—
427C2×C4⋊C4C24112yes—
428C2×C4⋊C4C24112yes—
429C2×C4⋊C4C2416yes—
430C2×C4⋊C4C2416yes—
431C2×C4⋊C4C2413yes—
432C2×C4⋊C4C2413yes—
433C2×C4⋊C4C2413yes—
434C2×C4⋊C4C2413yes—
435C2×C4⋊C4C2416yes—
436C2×C4⋊C4C2413yes—
437C2×C4⋊C4C2413yes—
438C2×C4⋊C4C24112yes—
439C2×C4⋊C4C24112yes—
440C2×C4⋊C4C24112yes—
441C2×C4⋊C4C24112yes—
442C2×C22⋊C4—412no—
443C2×C22⋊C4—46no—
444C2×C22⋊C4—412no—
445C2×C22⋊C4—46no—
446C2×C22⋊C4C24112yes—
447C2×C22⋊C4C24112yes—
448C2×C22⋊C4C24112yes—
449C2×C22⋊C4C2416yes—
450C2×C22⋊C4C2416yes—
451C2×C22⋊C4C24112yes—
452C2×C22⋊C4C2413yes—
453C2×C22⋊C4C2413yes—
454C2×C22⋊C4C2416yes—
455C2×C22⋊C4C2416yes—
456C2×C22⋊C4C2413yes—
457C2×C22⋊C4C2413yes—
458C2×C22⋊C4C2413yes—
459C2×C22⋊C4C2413yes—
460C2×C22⋊C4C2416yes—
461C2×C22⋊C4C2413yes—
462C2×C22⋊C4C2416yes—
463C2×C22⋊C4C2413yes—
464C2×C22⋊C4C24112yes—
465C2×C22⋊C4C24112yes—
466C2×C22⋊C4C24112yes—
467C2×C22⋊C4C24112yes—
468C2×C22⋊C4C2416yes—
469C2×C22⋊C4C24112yes—
470C2×C22⋊C4C2416yes—
471C2×C22⋊C4C24112yes—
472C2×C22⋊C4C24112yes—
473C2×C22⋊C4C24112yes—
474C2×C42—212no—
475C2×C42—24no—
476C2×C42—412no—
477C2×C42—46no—
478C2×C42C2413yes—
479C2×C42C2413yes—
480C2×C42C2416yes—
481C2×C42C2413yes—
482C2×C42C24112yes—
483C2×C42C2413yes—
484C2×C42C2413yes—
485C2×C42C24112yes—
486C2×C42C2413yes—
487C2×C42C2413yes—
488C2×C42C2411yescharacteristic
489#95C2416yes—
490#95C24112yes—
491#95C2416yes—
492#95C24112yes—
493#95C2416yes—
494#95C2416yes—
495#95C24112yes—
496#95C24112yes—
497#95C24112yes—
498#95C24112yes—
499#95C24112yes—
500#95C24112yes—
501#95C24112yes—
502#95C24112yes—
503C24—22no—
504C24—26no—
505C24—26no—
506C24—212no—
507C24—26no—
508C24—24no—
509C24—46no—
510C24—43no—
511C24—43no—
512C24—46no—
513C24—46no—
514C24C2514yes—
515C24C2513yes—
516C24C2511yescharacteristic
517C24C2511yescharacteristic
518C24C2513yes—
519C24C2511yescharacteristic
520#41—432no—
521#41—432no—
522#41—432no—
523#41—432no—
524C2×Q8—212no—
525C2×Q8—46no—
526C2×Q8—416no—
527C2×D4—26no—
528C2×D4—212no—
529C2×D4—26no—
530C2×D4—224no—
531C2×D4—224no—
532C2×D4—26no—
533C2×D4—26no—
534C2×D4—212no—
535C2×D4—26no—
536C2×D4—212no—
537C2×D4—26no—
538C2×D4—43no—
539C2×D4—43no—
540C2×D4—46no—
541C2×D4—43no—
542C2×D4—43no—
543C2×D4—43no—
544C2×D4—43no—
545C2×D4—43no—
546C2×D4—43no—
547C2×D4—43no—
548C2×D4—43no—
549C2×D4—46no—
550C2×D4—412no—
551C2×D4—448no—
552C2×D4—448no—
553C2×D4—412no—
554C2×D4—412no—
555C2×D4—412no—
556C2×D4—412no—
557C2×D4—412no—
558C2×D4—432no—
559C2×D4—416no—
560C2×D4C2×#41112yes—
561C2×D4C2×#41112yescomplemented
562C22×C4—26no—
563C22×C4—26no—
564C22×C4—26no—
565C22×C4—26no—
566C22×C4—26no—
567C22×C4—212no—
568C22×C4—26no—
569C22×C4—212no—
570C22×C4—26no—
571C22×C4—26no—
572C22×C4—26no—
573C22×C4—26no—
574C22×C4—212no—
575C22×C4—212no—
576C22×C4—212no—
577C22×C4—212no—
578C22×C4—26no—
579C22×C4—26no—
580C22×C4—26no—
581C22×C4—26no—
582C22×C4—224no—
583C22×C4—46no—
584C22×C4—46no—
585C22×C4—412no—
586C22×C4—46no—
587C22×C4—46no—
588C22×C4—412no—
589C22×C4—46no—
590C22×C4—432no—
591C22×C4—448no—
592C22×C4—416no—
593C22×C4H(5,𝔽2)112yes—
594C22×C4C2511yescharacteristic
595C22×C4C2511yescharacteristic
596C22×C4C2514yes—
597C22×C4C25112yes—
598C22×C4C25112yes—
599C22×C4C2513yes—
600C22×C4C2513yes—
601C22×C4C2513yes—
602C22×C4C2513yes—
603C22×C4C2513yes—
604C22×C4C2513yes—
605C22×C4C2511yescharacteristic
606C22×C4C2511yescharacteristic
607C4⋊C4—224no—
608C4⋊C4—212no—
609C4⋊C4—212no—
610C4⋊C4—224no—
611C4⋊C4—46no—
612C4⋊C4—46no—
613C4⋊C4—43no—
614C4⋊C4—43no—
615C4⋊C4—43no—
616C4⋊C4—46no—
617C4⋊C4—43no—
618C4⋊C4—43no—
619C4⋊C4—43no—
620C4⋊C4—412no—
621C4⋊C4—412no—
622C4⋊C4—412no—
623C4⋊C4—412no—
624C22⋊C4—212no—
625C22⋊C4—212no—
626C22⋊C4—224no—
627C22⋊C4—224no—
628C22⋊C4—224no—
629C22⋊C4—412no—
630C22⋊C4—43no—
631C22⋊C4—43no—
632C22⋊C4—46no—
633C22⋊C4—46no—
634C22⋊C4—46no—
635C22⋊C4—46no—
636C22⋊C4—43no—
637C22⋊C4—43no—
638C22⋊C4—43no—
639C22⋊C4—43no—
640C22⋊C4—43no—
641C22⋊C4—43no—
642C22⋊C4—412no—
643C22⋊C4—412no—
644C22⋊C4—412no—
645C22⋊C4—412no—
646C22⋊C4—46no—
647C22⋊C4—412no—
648C22⋊C4—46no—
649C22⋊C4—412no—
650C22⋊C4—412no—
651C22⋊C4—412no—
652C42—26no—
653C42—26no—
654C42—26no—
655C42—26no—
656C42—26no—
657C42—224no—
658C42—212no—
659C42—43no—
660C42—43no—
661C42—412no—
662C42C2×#4114yescomplemented
663C23—21no—
664C23—23no—
665C23—26no—
666C23—23no—
667C23—23no—
668C23—23no—
669C23—23no—
670C23—26no—
671C23—24no—
672C23—23no—
673C23—21no—
674C23—23no—
675C23—26no—
676C23—23no—
677C23—212no—
678C23—212no—
679C23—23no—
680C23—26no—
681C23—23no—
682C23—412no—
683C23—424no—
684C23—412no—
685C23—48no—
686C23—44no—
687C23—412no—
688C23—86no—
689C23—812no—
690C23—86no—
691C23—812no—
692C23—812no—
693C23C22×#4112yes—
694C23C22×#4116yes—
695C23C2×H(5,𝔽2)16yes—
696C23C2611yescharacteristic
697Q8—48no—
698Q8—48no—
699D4—412no—
700D4—412no—
701D4—412no—
702D4—424no—
703D4—412no—
704D4—412no—
705D4—412no—
706D4—48no—
707D4—416no—
708D4—416no—
709D4—48no—
710D4—824no—
711D4—824no—
712C2×C4—224no—
713C2×C4—23no—
714C2×C4—23no—
715C2×C4—23no—
716C2×C4—23no—
717C2×C4—212no—
718C2×C4—23no—
719C2×C4—23no—
720C2×C4—212no—
721C2×C4—212no—
722C2×C4—23no—
723C2×C4—26no—
724C2×C4—26no—
725C2×C4—23no—
726C2×C4—23no—
727C2×C4—23no—
728C2×C4—212no—
729C2×C4—26no—
730C2×C4—26no—
731C2×C4—212no—
732C2×C4—212no—
733C2×C4—212no—
734C2×C4—412no—
735C2×C4—48no—
736C2×C4—416no—
737C2×C4—412no—
738C2×C4—44no—
739C2×C4—412no—
740C2×C4—412no—
741C2×C4—412no—
742C2×C4—412no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—416no—
748C2×C4—812no—
749C2×C4—812no—
750C2×C4#560116yescomplemented
751C2×C4C22×#4116yes—
752C2×C4C2×H(5,𝔽2)16yes—
753C2×C4C2×H(5,𝔽2)16yes—
754C2×C4#58516yes—
755C22—26no—
756C22—26no—
757C22—26no—
758C22—212no—
759C22—26no—
760C22—43no—
761C22—46no—
762C22—43no—
763C22—41no—
764C22—43no—
765C22—46no—
766C22—412no—
767C22—43no—
768C22—43no—
769C22—43no—
770C22—46no—
771C22—43no—
772C22—412no—
773C22—44no—
774C22—41no—
775C22—43no—
776C22—824no—
777C22—88no—
778C22—816no—
779C22C2×#56014yes—
780C22C23×#4111yescharacteristic
781C22C22×H(5,𝔽2)13yes—
782C22C2×#58513yes—
783C4—26no—
784C4—26no—
785C4—43no—
786C4—43no—
787C4—412no—
788C4—412no—
789C4—43no—
790C4—43no—
791C4—41no—
792C4—41no—
793C4—44no—
794C4C2×#56014yes—
795C4C2×#56014yes—
796C2—24no—
797C2—46no—
798C2—42no—
799C2—83no—
800C2—84no—
801C2—81no—
802C2C22×#56011yescharacteristic
803C2#6275913yes—
804C2#6277313yes—
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52297C2semidirect
2. #52293C2semidirect
3. #46342C2semidirect
4. #46339C2semidirect
5. #46338C2semidirect
6. #46335C2semidirect
7. #46334C2semidirect
8. #46333C2semidirect
9. #46330C2semidirect
10. #46328C2semidirect
11. #46327C2semidirect
12. #46324C2semidirect
13. #36696C2semidirect
14. #36641C2semidirect
15. #34809C2semidirect
16. #34737C2semidirect
17. #34736C2semidirect
18. C4×#560C2semidirect
19. C2×C4×#127C2semidirect
25. C22×C4×D4C22semidirect
26. C22×#117C22semidirect
27. #2863C22semidirect
28. #2863C22semidirect
29. #2860C22semidirect
30. #2860C22semidirect
31. #2852C22semidirect
32. #2852C22semidirect
33. #2843C22semidirect
34. #2830C22semidirect
35. #2829C22semidirect
36. #2828C22semidirect
37. #2823C22semidirect
38. #2818C22semidirect
39. #2803C22semidirect
40. #2797C22semidirect
41. #2795C22semidirect
42. #2792C22semidirect
43. #2790C22semidirect
44. #2784C22semidirect
45. #2757C22semidirect
46. #2756C22semidirect
47. #2749C22semidirect
48. #2748C22semidirect
49. #2737C22semidirect
50. #2714C22semidirect
52. #2705C22semidirect
53. #2699C22semidirect
54. #2697C22semidirect
55. #2691C22semidirect
56. #2685C22semidirect
57. #2673C22semidirect
59. #2487C22semidirect
60. #2487C22semidirect
61. #2486C22semidirect
62. #2486C22semidirect
63. #2485C22semidirect
64. #2485C22semidirect
65. #2484C22semidirect
66. #2483C22semidirect
68. #2417C22semidirect
69. #2417C22semidirect
70. #2416C22semidirect
71. #2416C22semidirect
72. #2415C22semidirect
73. #2415C22semidirect
74. #2414C22semidirect
75. #2414C22semidirect
76. #2413C22semidirect
77. #2412C22semidirect
78. #2411C22semidirect
79. #2410C22semidirect
80. #2409C22semidirect
81. #2409C22semidirect
82. #2408C22semidirect
83. #2408C22semidirect
84. #2407C22semidirect
85. #2407C22semidirect
91. #2395C22semidirect
92. #2395C22semidirect
93. #2392C22semidirect
94. #2392C22semidirect
95. #2388C22semidirect
96. #2388C22semidirect
97. #2383C22semidirect
99. #2377C22semidirect
100. #2376C22semidirect
101. #2375C22semidirect
106. C4×#127C22semidirect
107. C4×#127C22semidirect
108. C4×#127C22semidirect
109. C4×#127C22semidirect
110. C4×#126C22semidirect
111. C4×#126C22semidirect
112. C4×#123C22semidirect
113. C4×#123C22semidirect
114. C4×#121C22semidirect
115. C4×#121C22semidirect
116. C4×#120C22semidirect
117. C4×#120C22semidirect
119. #2296C22semidirect
121. C2×#390C22semidirect
122. C2×#384C22semidirect
124. #2280C22semidirect
125. C2×C43C22semidirect
386. #127#41semidirect
561. C2×D4C2×#41semidirect
662. C42C2×#41semidirect
750. C2×C4#560semidirect

Maximal subgroups

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

subgroupindex
#522972
#522932
#463422
#463392
#463382
#463352
#463342
#463332
#463302
#463282
#463272
#463242
#366962
#366412
#348092
#347372
#347362
C4×#5602
C2×C4×#1272