Finite Group Databasebeta

← #6650274

Subgroups — #6650274

Order 512.

1114 conjugacy classes of subgroups.

The subgroup lattice has 1085 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37580C211yesmaximal, characteristic
2#37401C211yesmaximal, characteristic
3#33285C211yesmaximal, characteristic
4#33273C211yesmaximal, characteristic
5#32641C211yesmaximal, characteristic
6#32608C211yesmaximal, characteristic
7#32567C211yesmaximal, characteristic
8#32562C211yesmaximal, characteristic
9#32254C211yesmaximal, characteristic
10#32168C211yesmaximal, characteristic
11#32142C211yesmaximal, characteristic
12#32100C211yesmaximal, characteristic
13#31980C211yesmaximal, characteristic
14#31907C211yesmaximal, characteristic
15#31872C211yesmaximal, characteristic
16#31829C211yesmaximal, characteristic
17#31664C211yesmaximal, characteristic
18#31575C211yesmaximal, characteristic
19#31528C211yesmaximal, characteristic
20#31477C211yesmaximal, characteristic
21#30394C211yesmaximal, characteristic
22#30351C211yesmaximal, characteristic
23#29587C211yesmaximal, characteristic
24#29553C211yesmaximal, characteristic
25#29517C211yesmaximal, characteristic
26#29509C211yesmaximal, characteristic
27#29446C211yesmaximal, characteristic
28#29439C211yesmaximal, characteristic
29#29357C211yesmaximal, characteristic
30#29135C211yesmaximal, characteristic
31#21347C211yesmaximal, characteristic
32#2863C2211yescharacteristic
33#2862C2211yescharacteristic
34#2839—21no—
35#2833—21no—
36#2799—21no—
37#2774—21no—
38#2767—21no—
39#2767—21no—
40#2766—21no—
41#2762—21no—
42#2758—21no—
43#2755—21no—
44#2666—21no—
45#2655—21no—
46#2655—21no—
47#2655—21no—
48#2647C2211yescharacteristic
49#2647C2211yescharacteristic
50#2645C2211yescharacteristic
51#2645C2211yescharacteristic
52#2645C2211yescharacteristic
53#2642C2211yescharacteristic
54#2584C2211yescharacteristic
55#2581C2211yescharacteristic
56#2581C2211yescharacteristic
57#2570C2211yescharacteristic
58#2568C2211yescharacteristic
59#2565C2211yescharacteristic
60#2550C2211yescharacteristic
61#2546C2211yescharacteristic
62#2533—21no—
63#2528—21no—
64#2514C2211yescharacteristic
65#2511C2211yescharacteristic
66#2508C2211yescharacteristic
67#2507C2211yescharacteristic
68#2453C2211yescharacteristic
69#2451C2211yescharacteristic
70#2446C2211yescharacteristic
71#2446C2211yescharacteristic
72#2327C2211yescharacteristic
73#2320C2211yescharacteristic
74C4×#125C2211yescharacteristic
75#2295C2211yescharacteristic
76#2295C2211yescharacteristic
77#2101C2211yescharacteristic
78#2101C2211yescharacteristic
79#2101C2211yescharacteristic
80#2101C2211yescharacteristic
81#2101C2211yescharacteristic
82#2097C2211yescharacteristic
83#2097C2211yescharacteristic
84#2097C2211yescharacteristic
85#2088C2211yescharacteristic
86#2088C2211yescharacteristic
87#2087C2211yescharacteristic
88#2087C2211yescharacteristic
89#2085C2211yescharacteristic
90#2084C2211yescharacteristic
91#2083C2211yescharacteristic
92#2074C2211yescharacteristic
93#2074C2211yescharacteristic
94#2074C2211yescharacteristic
95#2072C2211yescharacteristic
96#2072C2211yescharacteristic
97#2068C2211yescharacteristic
98#2068C2211yescharacteristic
99#2066C2211yescharacteristic
100#2066C2211yescharacteristic
101#2066C2211yescharacteristic
102#2066C2211yescharacteristic
103#2066C2211yescharacteristic
104#2066C2211yescharacteristic
105#2059C2211yescharacteristic
106#2059C2211yescharacteristic
107#2057C2211yescharacteristic
108#2056C2211yescharacteristic
109#2056C2211yescharacteristic
110#2056C2211yescharacteristic
111#2056C2211yescharacteristic
112#2043C2211yescharacteristic
113#2043C2211yescharacteristic
114#2043C2211yescharacteristic
115#2043C2211yescharacteristic
116#2043C2211yescharacteristic
117#2026C2211yescharacteristic
118#2026C2211yescharacteristic
119#2026C2211yescharacteristic
120#2026C2211yescharacteristic
121#2024C2211yescharacteristic
122#2016C2211yescharacteristic
123#2016C2211yescharacteristic
124#2016C2211yescharacteristic
125#1992C2211yescharacteristic
126#1991C2211yescharacteristic
127#1987C2211yescharacteristic
128#1987C2211yescharacteristic
129#1985C2211yescharacteristic
130#1984C2211yescharacteristic
131#1981C2211yescharacteristic
132#1981C2211yescharacteristic
133#1971C2211yescharacteristic
134#1969C2211yescharacteristic
135#1969C2211yescharacteristic
136#1969C2211yescharacteristic
137#1969C2211yescharacteristic
138#1960C2211yescharacteristic
139#1956C2211yescharacteristic
140#1943C2211yescharacteristic
141#1942C2211yescharacteristic
142#1942C2211yescharacteristic
143#1942C2211yescharacteristic
144#1941C2211yescharacteristic
145#1940C2211yescharacteristic
146#1939C2211yescharacteristic
147#1935C2211yescharacteristic
148#1935C2211yescharacteristic
149#1935C2211yescharacteristic
150#1935C2211yescharacteristic
151#1935C2211yescharacteristic
152#1935C2211yescharacteristic
153#1935C2211yescharacteristic
154#1935C2211yescharacteristic
155#1935C2211yescharacteristic
156#1935C2211yescharacteristic
157#1935C2211yescharacteristic
158#1935C2211yescharacteristic
159#1933C2211yescharacteristic
160#1933C2211yescharacteristic
161#1933C2211yescharacteristic
162#1933C2211yescharacteristic
163#1933C2211yescharacteristic
164#1933C2211yescharacteristic
165#1928C2211yescharacteristic
166#1928C2211yescharacteristic
167#1928C2211yescharacteristic
168#1927C2211yescharacteristic
169#1927C2211yescharacteristic
170#1927C2211yescharacteristic
171#1921C2211yescharacteristic
172#1920C2211yescharacteristic
173#1919C2211yescharacteristic
174#1919C2211yescharacteristic
175#1918C2211yescharacteristic
176#1918C2211yescharacteristic
177#1917C2211yescharacteristic
178#1917C2211yescharacteristic
179#1916C2211yescharacteristic
180#1916C2211yescharacteristic
181#1878C2211yescharacteristic
182#1878C2211yescharacteristic
183#1878C2211yescharacteristic
184#1878C2211yescharacteristic
185#1878C2211yescharacteristic
186#1878C2211yescharacteristic
187#1865C2211yescharacteristic
188#1865C2211yescharacteristic
189#1863C2211yescharacteristic
190#1863C2211yescharacteristic
191#1863C2211yescharacteristic
192#1863C2211yescharacteristic
193#1805C2211yescharacteristic
194#1805C2211yescharacteristic
195#1803C2211yescharacteristic
196#1803C2211yescharacteristic
197#1768C2211yescharacteristic
198#1768C2211yescharacteristic
199#1767C2211yescharacteristic
200#1746C2211yescharacteristic
201#1744C2211yescharacteristic
202#1726C2211yescharacteristic
203C22×Q16C2311yescharacteristic
204C22×Q16C2311yescharacteristic
205C22×Q16C2311yescharacteristic
206C2×C4⋊Q8C2311yescharacteristic
207C2×C4⋊Q8C2311yescharacteristic
208C2×C4⋊Q8C2311yescharacteristic
209C2×C4⋊Q8C2311yescharacteristic
210C2×#125C2311yescharacteristic
211C2×#125C2311yescharacteristic
212C2×C4×Q8C2311yescharacteristic
213C2×C4×Q8C2311yescharacteristic
214C2×C4×Q8C2311yescharacteristic
215C2×C4×Q8C2311yescharacteristic
216C2×C4×Q8C2311yescharacteristic
217C2×#107C2311yescharacteristic
218C2×#107C2311yescharacteristic
219C2×#107C2311yescharacteristic
220C2×#107C2311yescharacteristic
221C2×#107C2311yescharacteristic
222C2×#106C2311yescharacteristic
223C2×#106C2311yescharacteristic
224C2×#106C2311yescharacteristic
225C2×#106C2311yescharacteristic
226C2×C4⋊C8C2311yescharacteristic
227C2×C4⋊C8C2311yescharacteristic
228C2×C4⋊C8C2311yescharacteristic
229C2×C4⋊C8C2311yescharacteristic
230C2×C4⋊C8C2311yescharacteristic
231C2×C4⋊C8C2311yescharacteristic
232C2×#103C2311yescharacteristic
233C2×#103C2311yescharacteristic
234C2×#103C2311yescharacteristic
235C2×#103C2311yescharacteristic
236C2×#103C2311yescharacteristic
237C2×#103C2311yescharacteristic
238C2×#103C2311yescharacteristic
239C2×#103C2311yescharacteristic
240C2×#103C2311yescharacteristic
241C2×#103C2311yescharacteristic
242C2×#103C2311yescharacteristic
243C2×#103C2311yescharacteristic
244C2×#103C2311yescharacteristic
245C2×#103C2311yescharacteristic
246C2×#103C2311yescharacteristic
247C2×#103C2311yescharacteristic
248C2×#103C2311yescharacteristic
249C2×#103C2311yescharacteristic
250C2×#103C2311yescharacteristic
251C2×#103C2311yescharacteristic
252C2×#103C2311yescharacteristic
253C2×#103C2311yescharacteristic
254C2×#103C2311yescharacteristic
255C2×#103C2311yescharacteristic
256C2×#103C2311yescharacteristic
257C2×#103C2311yescharacteristic
258C2×#97C2311yescharacteristic
259C2×#97C2311yescharacteristic
260C2×#97C2311yescharacteristic
261C2×#97C2311yescharacteristic
262C2×C4×C8C2311yescharacteristic
263C2×C4×C8C2311yescharacteristic
264C2×C4×C8C2311yescharacteristic
265C2×C4×C8C2311yescharacteristic
266#401—21no—
267#401—21no—
268#401—21no—
269#401—21no—
270#400—21no—
271#400—21no—
272#400—21no—
273#400—21no—
274#400—21no—
275#400—21no—
276#400—21no—
277#400—21no—
278#400—21no—
279#400—21no—
280#400—21no—
281#400—21no—
282#400—21no—
283#400—21no—
284#400—21no—
285#400—21no—
286#400—21no—
287#400—21no—
288#400—21no—
289#400—21no—
290#400—21no—
291#400—21no—
292#400—21no—
293#400—21no—
294#400—21no—
295#400—21no—
296#400—21no—
297#400—21no—
298#400—21no—
299#398—21no—
300#398—21no—
301#398—21no—
302#398—21no—
303#398—21no—
304#398—21no—
305#398—21no—
306#398—21no—
307#398—21no—
308#398—21no—
309#398—21no—
310#398—21no—
311#398—21no—
312#398—21no—
313#398—21no—
314#398—21no—
315#398—21no—
316#398—21no—
317#395—21no—
318#395—21no—
319#395—21no—
320#395—21no—
321#395—21no—
322#391—21no—
323#391—21no—
324#391—21no—
325#391—21no—
326#391—21no—
327#391D411yescharacteristic
328#391D411yescharacteristic
329#391C2311yescharacteristic
330#391C2311yescharacteristic
331#391C2311yescharacteristic
332#391C2311yescharacteristic
333#391C2311yescharacteristic
334#391C2311yescharacteristic
335#391C2311yescharacteristic
336#391C2311yescharacteristic
337#391C2311yescharacteristic
338#391C2311yescharacteristic
339#391C2311yescharacteristic
340#391C2311yescharacteristic
341#391C2311yescharacteristic
342#391C2311yescharacteristic
343#391C2311yescharacteristic
344#391C2311yescharacteristic
345#391C2311yescharacteristic
346#391C2311yescharacteristic
347#389—21no—
348#389—21no—
349#389—21no—
350#389—21no—
351#389—21no—
352#389—21no—
353#389—21no—
354#389D411yescharacteristic
355#389D411yescharacteristic
356#389C2311yescharacteristic
357#389C2311yescharacteristic
358#389C2311yescharacteristic
359#389C2311yescharacteristic
360#389C2311yescharacteristic
361#389C2311yescharacteristic
362#389C2311yescharacteristic
363#389C2311yescharacteristic
364#389C2311yescharacteristic
365#389C2311yescharacteristic
366#389C2311yescharacteristic
367#389C2311yescharacteristic
368#389C2311yescharacteristic
369#389C2311yescharacteristic
370#389C2311yescharacteristic
371#389C2311yescharacteristic
372#389C2311yescharacteristic
373#389C2311yescharacteristic
374#387—21no—
375#387—21no—
376#387—21no—
377#387—21no—
378#387—21no—
379#387—21no—
380#387—21no—
381#387—21no—
382#387—21no—
383#387—21no—
384#387—21no—
385#387—21no—
386#387—21no—
387#387—21no—
388#387—21no—
389#387—21no—
390#387—21no—
391#387—21no—
392#387—21no—
393#387—21no—
394#387—21no—
395#387—21no—
396#387—21no—
397#387—21no—
398#387—21no—
399#387—21no—
400#387—21no—
401#387—21no—
402#387—21no—
403#387—21no—
404#387—21no—
405#387—21no—
406#387D411yescharacteristic
407#387D411yescharacteristic
408#387D411yescharacteristic
409#387D411yescharacteristic
410#384C2311yescharacteristic
411#384C2311yescharacteristic
412#383—21no—
413#383—21no—
414#383—21no—
415#382—21no—
416#382—21no—
417#382—21no—
418#382—21no—
419#382—21no—
420#382C2311yescharacteristic
421#382C2311yescharacteristic
422#382C2311yescharacteristic
423#382C2311yescharacteristic
424C4×C4⋊C4—21no—
425C4×C4⋊C4—21no—
426C4×C4⋊C4—21no—
427C4×C4⋊C4C2311yescharacteristic
428C4×C4⋊C4C2311yescharacteristic
429C4×C4⋊C4C2311yescharacteristic
430C4×C4⋊C4C2311yescharacteristic
431C4×C4⋊C4C2311yescharacteristic
432C4×C4⋊C4C2311yescharacteristic
433C4×C4⋊C4C2311yescharacteristic
434#376—21no—
435#376C2311yescharacteristic
436#376C2311yescharacteristic
437C43C2311yescharacteristic
438#340C2311yescharacteristic
439#340C2311yescharacteristic
440#340C2311yescharacteristic
441#340C2311yescharacteristic
442#340C2311yescharacteristic
443#340C2311yescharacteristic
444#340C2311yescharacteristic
445#340C2311yescharacteristic
446#340C2311yescharacteristic
447#340C2311yescharacteristic
448#340C2311yescharacteristic
449#340C2311yescharacteristic
450#340C2311yescharacteristic
451#340C2311yescharacteristic
452#340C2311yescharacteristic
453#340C2311yescharacteristic
454#340C2311yescharacteristic
455#340C2311yescharacteristic
456#340C2311yescharacteristic
457#340C2311yescharacteristic
458#340C2311yescharacteristic
459#340C2311yescharacteristic
460#340C2311yescharacteristic
461#340C2311yescharacteristic
462#340C2311yescharacteristic
463#340C2311yescharacteristic
464#336C2311yescharacteristic
465#336C2311yescharacteristic
466#336C2311yescharacteristic
467#336C2311yescharacteristic
468#336C2311yescharacteristic
469#336C2311yescharacteristic
470#336C2311yescharacteristic
471#336C2311yescharacteristic
472#336C2311yescharacteristic
473#336C2311yescharacteristic
474#336C2311yescharacteristic
475#336C2311yescharacteristic
476#336C2311yescharacteristic
477#336C2311yescharacteristic
478C22×Q8—21no—
479C22×Q8C2×D411yescharacteristic
480C22×Q8C2411yescharacteristic
481C22×Q8C2411yescharacteristic
482C22×Q8C2411yescharacteristic
483C22×Q8C2411yescharacteristic
484C2×Q16—22no—
485C2×Q16—41no—
486C2×Q16—41no—
487C2×Q16—41no—
488C2×Q16—41no—
489C2×Q16—41no—
490C2×Q16—41no—
491C2×Q16—41no—
492C2×Q16—41no—
493C22×C8C2411yescharacteristic
494C22×C8C2411yescharacteristic
495C22×C8C2411yescharacteristic
496C22×C8C2411yescharacteristic
497C22×C8C2411yescharacteristic
498C22×C8C2411yescharacteristic
499C22×C8C2411yescharacteristic
500C22×C8C2411yescharacteristic
501C4⋊Q8—41no—
502C4⋊Q8—41no—
503C4⋊Q8—41no—
504C4⋊Q8—41no—
505C4⋊Q8—41no—
506C4⋊Q8—41no—
507C4⋊Q8—41no—
508C4⋊Q8—41no—
509#125—41no—
510#125—41no—
511#125—41no—
512#125—41no—
513C4×Q8—41no—
514C4×Q8—41no—
515C4×Q8—41no—
516C4×Q8—41no—
517C4×Q8—41no—
518C4×Q8—41no—
519C4×Q8—41no—
520C4×Q8—41no—
521C4×Q8—41no—
522C4×Q8—41no—
523C2×C4⋊C4—21no—
524C2×C4⋊C4—21no—
525C2×C4⋊C4—21no—
526C2×C4⋊C4—21no—
527C2×C4⋊C4—21no—
528C2×C4⋊C4—21no—
529C2×C4⋊C4—21no—
530C2×C4⋊C4—21no—
531C2×C4⋊C4—21no—
532C2×C4⋊C4—21no—
533C2×C4⋊C4—21no—
534C2×C4⋊C4—21no—
535C2×C4⋊C4—21no—
536C2×C4⋊C4—21no—
537C2×C4⋊C4—21no—
538C2×C4⋊C4—21no—
539C2×C4⋊C4—21no—
540C2×C4⋊C4—21no—
541C2×C4⋊C4—21no—
542C2×C4⋊C4—21no—
543C2×C4⋊C4—21no—
544C2×C4⋊C4—21no—
545C2×C4⋊C4—21no—
546C2×C4⋊C4—21no—
547C2×C4⋊C4—21no—
548C2×C4⋊C4—21no—
549C2×C4⋊C4—21no—
550C2×C4⋊C4—21no—
551C2×C4⋊C4—21no—
552C2×C4⋊C4—21no—
553C2×C4⋊C4—21no—
554C2×C4⋊C4—21no—
555C2×C4⋊C4—21no—
556C2×C4⋊C4—21no—
557C2×C4⋊C4—21no—
558C2×C4⋊C4—21no—
559C2×C4⋊C4—21no—
560C2×C4⋊C4C2×D411yescharacteristic
561C2×C4⋊C4C2×D411yescharacteristic
562C2×C4⋊C4C2×D411yescharacteristic
563C2×C4⋊C4C2×D411yescharacteristic
564C2×C4⋊C4C2×D411yescharacteristic
565C2×C4⋊C4C2×D411yescharacteristic
566C2×C4⋊C4C2×D411yescharacteristic
567C2×C4⋊C4C2×D411yescharacteristic
568C2×C4⋊C4C2×D411yescharacteristic
569C2×C4⋊C4C2411yescharacteristic
570C2×C4⋊C4C2411yescharacteristic
571C2×C4⋊C4C2411yescharacteristic
572C2×C4⋊C4C2411yescharacteristic
573C2×C4⋊C4C2411yescharacteristic
574C2×C4⋊C4C2411yescharacteristic
575C2×C4⋊C4C2411yescharacteristic
576C2×C4⋊C4C2411yescharacteristic
577C2×C4⋊C4C2411yescharacteristic
578C2×C4⋊C4C2411yescharacteristic
579C2×C4⋊C4C2411yescharacteristic
580C2×C4⋊C4C2411yescharacteristic
581C2×C42—21no—
582C2×C42—21no—
583C2×C42—21no—
584C2×C42—21no—
585C2×C42—21no—
586C2×C42—21no—
587C2×C42—21no—
588C2×C42—21no—
589C2×C42C2×D411yescharacteristic
590C2×C42C2×D411yescharacteristic
591C2×C42C2×D411yescharacteristic
592C2×C42C2×D411yescharacteristic
593C2×C42C2411yescharacteristic
594C2×C42C2411yescharacteristic
595C2×C42C2411yescharacteristic
596C2×C42C2411yescharacteristic
597C2×C42C2411yescharacteristic
598C2×C42C2411yescharacteristic
599C2×C42C2411yescharacteristic
600#107—22no—
601#107—41no—
602#107—41no—
603#107—41no—
604#107—41no—
605#106—41no—
606#106—41no—
607#106—41no—
608#106—41no—
609C4⋊C8—41no—
610C4⋊C8—41no—
611C4⋊C8—41no—
612C4⋊C8—41no—
613C4⋊C8—41no—
614C4⋊C8—41no—
615#103—22no—
616#103—22no—
617#103—41no—
618#103—41no—
619#103—41no—
620#103—41no—
621#103—41no—
622#103—41no—
623#103—41no—
624#103—41no—
625#103—41no—
626#103—41no—
627#103—41no—
628#103—41no—
629#103—41no—
630#103—41no—
631#103—41no—
632#103—41no—
633#103—41no—
634#103—41no—
635#103—41no—
636#103—41no—
637#103—41no—
638#103—41no—
639#103—41no—
640#103—41no—
641#97—41no—
642#97—41no—
643#97—41no—
644#97—41no—
645C4×C8—22no—
646C4×C8—41no—
647C4×C8—41no—
648C4×C8—41no—
649#95—21no—
650#95—21no—
651#95—21no—
652#95—21no—
653#95—21no—
654#95—21no—
655#95—21no—
656#95—21no—
657#95—21no—
658#95—21no—
659#95—21no—
660#95—21no—
661#95—21no—
662#95—21no—
663#95—21no—
664#95—21no—
665#95—21no—
666#95—21no—
667#95—21no—
668#95—21no—
669#95—21no—
670#95—21no—
671#95—21no—
672#95—21no—
673#95—21no—
674#95—21no—
675#95—21no—
676#95—21no—
677#95—21no—
678#95—21no—
679#95—21no—
680#95—21no—
681#95—21no—
682#95—21no—
683#95—21no—
684#95—21no—
685#95—21no—
686#95—21no—
687#95—21no—
688#95—21no—
689#95—21no—
690#95—21no—
691#95—21no—
692#95—21no—
693#95—21no—
694#95—21no—
695#95—21no—
696#95—21no—
697#95—21no—
698#95—21no—
699#95—21no—
700#95—21no—
701#95—21no—
702#95—21no—
703#95—21no—
704#95—21no—
705#95—21no—
706#95—21no—
707#95—21no—
708#95—21no—
709#95—21no—
710#95—21no—
711#95—21no—
712#95—21no—
713#95—21no—
714#95—21no—
715#95C2×D411yescharacteristic
716#95C2×D411yescharacteristic
717#95C2×D411yescharacteristic
718#95C2×D411yescharacteristic
719#95C2×D411yescharacteristic
720#95C2×D411yescharacteristic
721#95C2×D411yescharacteristic
722#95C2×D411yescharacteristic
723#95C2×D411yescharacteristic
724#95C2×D411yescharacteristic
725#95C2×D411yescharacteristic
726#95C2×D411yescharacteristic
727#95C2×D411yescharacteristic
728#95C2×D411yescharacteristic
729C2×Q8—21no—
730C2×Q8—21no—
731C2×Q8—21no—
732C2×Q8—21no—
733C2×Q8—21no—
734C2×Q8—21no—
735C2×Q8—21no—
736C2×Q8—21no—
737C2×Q8—21no—
738C2×Q8—21no—
739C2×Q8—21no—
740C2×Q8—21no—
741C2×Q8—21no—
742C2×Q8—21no—
743C2×Q8—21no—
744C2×Q8—21no—
745C2×Q8—21no—
746C2×Q8—21no—
747C2×Q8—21no—
748C2×Q8—21no—
749C2×Q8—21no—
750C2×Q8—21no—
751C2×Q8—21no—
752C2×Q8—21no—
753C2×Q8—41no—
754C2×Q8—41no—
755C2×Q8—41no—
756C2×Q8—42no—
757C2×Q8—81no—
758C2×Q8—81no—
759C22×C4—21no—
760C22×C4—21no—
761C22×C4—21no—
762C22×C4—21no—
763C22×C4—21no—
764C22×C4—21no—
765C22×C4—21no—
766C22×C4—21no—
767C22×C4—21no—
768C22×C4—21no—
769C22×C4—21no—
770C22×C4—21no—
771C22×C4—21no—
772C22×C4—21no—
773C22×C4—21no—
774C22×C4—21no—
775C22×C4C22×D411yescharacteristic
776C22×C4C22×D411yescharacteristic
777C22×C4C22×D411yescharacteristic
778C22×C4C22×D411yescharacteristic
779C22×C4C22×D411yescharacteristic
780C22×C4C22×D411yescharacteristic
781C22×C4C22×D411yescharacteristic
782C22×C4C22×D411yescharacteristic
783C22×C4C22×D411yescharacteristic
784C22×C4C22×D411yescharacteristic
785C22×C4C22×D411yescharacteristic
786C22×C4C22×D411yescharacteristic
787C22×C4C22×D411yescharacteristic
788C22×C4C22×D411yescharacteristic
789C22×C4C2511yescharacteristic
790Q16—82no—
791Q16—82no—
792Q16—82no—
793C2×C8—21no—
794C2×C8—21no—
795C2×C8—21no—
796C2×C8—21no—
797C2×C8—21no—
798C2×C8—21no—
799C2×C8—21no—
800C2×C8—21no—
801C2×C8—21no—
802C2×C8—21no—
803C2×C8—21no—
804C2×C8—21no—
805C2×C8—21no—
806C2×C8—21no—
807C2×C8—21no—
808C2×C8—21no—
809C2×C8—21no—
810C2×C8—21no—
811C2×C8—21no—
812C2×C8—21no—
813C2×C8—21no—
814C2×C8—21no—
815C2×C8—21no—
816C2×C82−1+412yes—
817C4⋊C4—22no—
818C4⋊C4—22no—
819C4⋊C4—21no—
820C4⋊C4—21no—
821C4⋊C4—21no—
822C4⋊C4—21no—
823C4⋊C4—21no—
824C4⋊C4—21no—
825C4⋊C4—21no—
826C4⋊C4—21no—
827C4⋊C4—21no—
828C4⋊C4—21no—
829C4⋊C4—21no—
830C4⋊C4—21no—
831C4⋊C4—21no—
832C4⋊C4—21no—
833C4⋊C4—21no—
834C4⋊C4—21no—
835C4⋊C4—21no—
836C4⋊C4—21no—
837C4⋊C4—21no—
838C4⋊C4—21no—
839C4⋊C4—21no—
840C4⋊C4—21no—
841C4⋊C4—21no—
842C4⋊C4—21no—
843C4⋊C4—41no—
844C4⋊C4—41no—
845C4⋊C4—41no—
846C4⋊C4—41no—
847C4⋊C4—41no—
848C4⋊C4—41no—
849C4⋊C4—41no—
850C4⋊C4—42no—
851C4⋊C4—42no—
852C4⋊C4—42no—
853C4⋊C4—42no—
854C4⋊C4—42no—
855C4⋊C4—42no—
856C4⋊C4—42no—
857C4⋊C4—42no—
858C4⋊C4—81no—
859C4⋊C4—81no—
860C4⋊C4—81no—
861C4⋊C4—81no—
862C4⋊C4—81no—
863C4⋊C4—81no—
864C4⋊C4—81no—
865C4⋊C4—81no—
866C4⋊C4—81no—
867C4⋊C4—81no—
868C4⋊C4—81no—
869C4⋊C4—81no—
870C4⋊C4—81no—
871C4⋊C4—81no—
872C4⋊C4—81no—
873C4⋊C4—81no—
874C4⋊C4—81no—
875C4⋊C4—81no—
876C4⋊C4—81no—
877C4⋊C4—81no—
878C4⋊C4—81no—
879C4⋊C4—81no—
880C4⋊C4—81no—
881C4⋊C4—81no—
882C4⋊C4—81no—
883C4⋊C4—81no—
884C4⋊C4—81no—
885C4⋊C4—81no—
886C4⋊C4—81no—
887C42—22no—
888C42—21no—
889C42—21no—
890C42—21no—
891C42—21no—
892C42—21no—
893C42—21no—
894C42—21no—
895C42—21no—
896C42—21no—
897C42—21no—
898C42—21no—
899C42—21no—
900C42—21no—
901C42—21no—
902C42—41no—
903C42—41no—
904C42—41no—
905C42—42no—
906C42—42no—
907C42—42no—
908C42—81no—
909C42—81no—
910C42—81no—
911C42—81no—
912C42—81no—
913C23C23×D411yescharacteristic
914Q8—41no—
915Q8—41no—
916Q8—41no—
917Q8—41no—
918Q8—41no—
919Q8—41no—
920Q8—41no—
921Q8—41no—
922Q8—41no—
923Q8—41no—
924Q8—41no—
925Q8—41no—
926Q8—41no—
927Q8—41no—
928Q8—41no—
929Q8—41no—
930Q8—82no—
931Q8—162no—
932C2×C4—21no—
933C2×C4—21no—
934C2×C4—21no—
935C2×C4—21no—
936C2×C4—21no—
937C2×C4—21no—
938C2×C4—21no—
939C2×C4—21no—
940C2×C4—21no—
941C2×C4—21no—
942C2×C4—21no—
943C2×C4—21no—
944C2×C4—21no—
945C2×C4—21no—
946C2×C4—21no—
947C2×C4—21no—
948C2×C4—21no—
949C2×C4—21no—
950C2×C4—21no—
951C2×C4—21no—
952C2×C4—21no—
953C2×C4—21no—
954C2×C4—21no—
955C2×C4—21no—
956C2×C4—21no—
957C2×C4—21no—
958C2×C4—21no—
959C2×C4—21no—
960C2×C4—21no—
961C2×C4—21no—
962C2×C4—21no—
963C2×C4—21no—
964C2×C4—21no—
965C2×C4—21no—
966C2×C4—21no—
967C2×C4—21no—
968C2×C4—21no—
969C2×C4—21no—
970C2×C4—21no—
971C2×C4—21no—
972C2×C4—21no—
973C2×C4—41no—
974C2×C4—41no—
975C2×C4—41no—
976C2×C4—41no—
977C2×C4—41no—
978C2×C4—41no—
979C2×C4—41no—
980C2×C4—41no—
981C2×C4—41no—
982C2×C4—41no—
983C2×C4—41no—
984C2×C4—41no—
985C2×C4—41no—
986C2×C4—41no—
987C2×C4—41no—
988C2×C4—41no—
989C2×C4—41no—
990C2×C4—41no—
991C2×C4—41no—
992C2×C4—41no—
993C2×C4—41no—
994C2×C4—41no—
995C2×C4—41no—
996C2×C4—41no—
997C2×C4—41no—
998C2×C4—41no—
999C2×C4—41no—
1000C2×C4—41no—
1001C2×C4—41no—
1002C2×C4—41no—
1003C2×C4—41no—
1004C2×C4—41no—
1005C2×C4—41no—
1006C2×C4—41no—
1007C2×C4—41no—
1008C2×C4—41no—
1009C2×C4—41no—
1010C2×C4—41no—
1011C2×C4—41no—
1012C2×C4—41no—
1013C2×C4—41no—
1014C2×C4—41no—
1015C2×C4—41no—
1016C2×C4—41no—
1017C2×C4—41no—
1018C2×C4—41no—
1019C2×C4—41no—
1020C2×C4—41no—
1021C2×C4#57812yes—
1022C2×C4C2×2−1+411yescharacteristic
1023C2×C4#58511yescharacteristic
1024C2×C4#58511yescharacteristic
1025C2×C4#58511yescharacteristic
1026C2×C4#58511yescharacteristic
1027C2×C4#58511yescharacteristic
1028C8—22no—
1029C8—41no—
1030C8—41no—
1031C8—41no—
1032C8—41no—
1033C8—41no—
1034C8—41no—
1035C8—41no—
1036C22#344911yescharacteristic
1037C22#349711yescharacteristic
1038C22#350011yescharacteristic
1039C22C2×#57811yescharacteristic
1040C22#358411yescharacteristic
1041C22#358611yescharacteristic
1042C22#358611yescharacteristic
1043C4—22no—
1044C4—41no—
1045C4—41no—
1046C4—41no—
1047C4—41no—
1048C4—41no—
1049C4—41no—
1050C4—41no—
1051C4—41no—
1052C4—41no—
1053C4—41no—
1054C4—41no—
1055C4—41no—
1056C4—41no—
1057C4—81no—
1058C4—81no—
1059C4—81no—
1060C4—81no—
1061C4—81no—
1062C4—81no—
1063C4—81no—
1064C4—81no—
1065C4—81no—
1066C4—81no—
1067C4—81no—
1068C4—81no—
1069C4—81no—
1070C4—81no—
1071C4—81no—
1072C4—81no—
1073C4#356411yescharacteristic
1074C4#356511yescharacteristic
1075C4#356611yescharacteristic
1076C4#356611yescharacteristic
1077C2#3719311yescharacteristic
1078C2#6098411yescharacteristic
1079C2#6099511yescharacteristic
1080C2#6238011yescharacteristic
1081C2#6238811yescharacteristic
1082C2#6259911yescharacteristic
1083C2#6261511yescharacteristic
subgroupG/H
center, socle, prime radicalC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2295 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Maximal subgroups

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

subgroupindex
#375802
#374012
#332852
#332732
#326412
#326082
#325672
#325622
#322542
#321682
#321422
#321002
#319802
#319072
#318722
#318292
#316642
#315752
#315282
#314772
#303942
#303512
#295872
#295532
#295172
#295092
#294462
#294392
#293572
#291352
#213472