Finite Group Databasebeta

← #7686455

Subgroups — #7686455

Order 512.

5667 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59685C214yesmaximal, complemented
2#59678C211yesmaximal, characteristic, complemented
3#59650C212yesmaximal, complemented
4#59478C212yesmaximal, complemented
5#59304C211yesmaximal, characteristic, complemented
6#59303C211yesmaximal, characteristic, complemented
7#59278C212yesmaximal, complemented
8#59199C212yesmaximal, complemented
9#45126C212yesmaximal, complemented
10#44974C212yesmaximal, complemented
11#44812C214yesmaximal, complemented
12#44749C214yesmaximal, complemented
13#40179C212yesmaximal, complemented
14#40054C212yesmaximal, complemented
15#39497C211yesmaximal, characteristic, complemented
16#39471C211yesmaximal, characteristic, complemented
17#38506C214yesmaximal, complemented
18#37836C212yesmaximal, complemented
19#36586C211yesmaximal, characteristic, complemented
20#36518C212yesmaximal, complemented
21#36362C212yesmaximal, complemented
22#36315C211yesmaximal, characteristic, complemented
23#36235C212yesmaximal, complemented
24#36187C211yesmaximal, characteristic, complemented
25#36180C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36087C212yesmaximal, complemented
28#36026C212yesmaximal, complemented
29#34772C212yesmaximal, complemented
30#34681C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34207C211yesmaximal, characteristic, complemented
33#34202C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#554C2212yes—
38C2×#553C2211yescharacteristic
39C2×#553C2212yes—
40C2×#547C2211yescharacteristic
41C2×#546C2212yes—
42C2×#532C2211yescharacteristic
43C2×#525C2212yes—
44C2×#520C2212yescomplemented
45C22×C4×D4C2211yescharacteristic
46C22×#117C2212yes—
47#2868C2211yescharacteristic, complemented
48#2861C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2856C2212yes—
52#2850C2212yes—
53#2850C2214yes—
54#2847C2212yes—
55#2801C2214yescomplemented
56#2797C2214yescomplemented
57#2796C2214yescomplemented
58#2795C2214yescomplemented
59#2790C2214yescomplemented
60#2759C2214yescomplemented
61#2748C2214yescomplemented
62#2746C2214yescomplemented
63#2742C2214yescomplemented
64#2737C2214yescomplemented
65#2729C2214yescomplemented
66#2718C2214yescomplemented
67#2711C2214yes—
68#2710C2214yescomplemented
69#2705C2214yescomplemented
70#2703C2214yescomplemented
71#2702C2214yescomplemented
72#2701C2214yescomplemented
73#2696C2214yes—
74#2693C2214yescomplemented
75#2671C2214yescomplemented
76#2651C2214yescomplemented
77#2632C2214yescomplemented
78#2629C2212yescomplemented
79#2615C2212yescomplemented
80#2610C2214yescomplemented
81#2609C2214yescomplemented
82#2602C2214yescomplemented
83#2598C2214yescomplemented
84#2597C2214yescomplemented
85#2596C2214yescomplemented
86#2591C2214yescomplemented
87#2576C2214yescomplemented
88#2571C2211yescharacteristic, complemented
89#2567C2212yescomplemented
90#2566C2212yes—
91#2564C2214yes—
92#2564C2214yescomplemented
93#2563C2212yescomplemented
94#2562C2212yescomplemented
95#2560C2214yescomplemented
96#2558C2214yes—
97#2558C2214yescomplemented
98#2554C2214yes—
99#2554C2214yes—
100#2552C2212yescomplemented
101#2552C2211yescharacteristic, complemented
102#2552C2212yescomplemented
103#2550C2212yescomplemented
104#2547C2211yescharacteristic
105#2547C2211yescharacteristic, complemented
106#2544C2212yes—
107#2543C2214yes—
108#2540C2214yes—
109#2540C2212yescomplemented
110#2537C2211yescharacteristic
111#2537C2211yescharacteristic, complemented
112#2537C2212yescomplemented
113#2531C2214yescomplemented
114#2529C2214yescomplemented
115#2526C2214yescomplemented
116#2525C2214yescomplemented
117#2522C2214yescomplemented
118#2520C2214yescomplemented
119#2519C2214yescomplemented
120#2515C2214yescomplemented
121#2514C2212yescomplemented
122#2511C2212yescomplemented
123#2510C2214yes—
124#2507C2212yescomplemented
125#2505C2214yes—
126#2505C2214yescomplemented
127#2502C2212yes—
128#2502C2212yescomplemented
129#2501C2212yescomplemented
130#2500C2212yes—
131#2500C2214yescomplemented
132#2500C2212yescomplemented
133#2497C2212yescomplemented
134#2497C2212yescomplemented
135#2497C2212yescomplemented
136#2496C2212yescomplemented
137#2494C2212yescomplemented
138#2492C2212yescomplemented
139#2491C2212yes—
140#2491C2212yescomplemented
141#2491C2214yescomplemented
142#2489C2212yescomplemented
143#2487C2212yes—
144#2487C2212yes—
145#2487C2212yescomplemented
146#2487C2212yescomplemented
147#2486C2212yes—
148#2485C2212yescomplemented
149#2485C2212yescomplemented
150#2476C2214yescomplemented
151#2474C2214yescomplemented
152#2472C2214yes—
153#2472C2212yes—
154#2464C2214yes—
155#2464C2214yes—
156#2464C2212yes—
157#2464C2214yescomplemented
158#2461C2212yes—
159#2461C2214yescomplemented
160#2461C2214yescomplemented
161#2452C2212yes—
162#2452C2211yescharacteristic
163#2450C2214yes—
164#2448C2212yes—
165#2448C2212yescomplemented
166#2445C2211yescharacteristic
167#2443C2214yes—
168#2441C2212yescomplemented
169#2440C2212yes—
170#2440C2212yes—
171#2440C2211yescharacteristic
172#2440C2212yescomplemented
173#2440C2212yescomplemented
174#2440C2212yescomplemented
175#2439C2212yescomplemented
176#2437C2214yes—
177#2433C2211yescharacteristic
178#2431C2212yes—
179#2428C2211yescharacteristic
180#2427C2212yes—
181#2426C2212yes—
182#2425C2214yes—
183#2424C2214yes—
184#2424C2214yes—
185#2424C2214yes—
186#2424C2212yes—
187#2422C2211yescharacteristic
188#2422C2212yescomplemented
189#2417C2212yes—
190#2416C2212yes—
191#2416C2212yes—
192#2416C2211yescharacteristic
193#2416C2212yes—
194#2416C2212yescomplemented
195#2414C2212yescomplemented
196#2412C2214yes—
197#2408C2211yescharacteristic
198#2407C2212yes—
199#2402C2214yescomplemented
200#2396C2214yescomplemented
201#2392C2212yes—
202#2388C2212yes—
203#2374C2214yescomplemented
204#2374C2212yescomplemented
205#2373C2212yescomplemented
206#2370C2211yescharacteristic, complemented
207#2367C2212yescomplemented
208#2365C2211yescharacteristic, complemented
209#2364C2212yes—
210#2363C2212yescomplemented
211#2363C2211yescharacteristic, complemented
212#2362C2212yescomplemented
213#2361C2212yes—
214#2361C2211yescharacteristic
215#2361C2214yescomplemented
216#2361C2212yescomplemented
217#2359C2214yescomplemented
218#2359C2214yescomplemented
219#2358C2214yes—
220#2358C2214yes—
221#2358C2214yes—
222#2357C2211yescharacteristic, complemented
223#2354C2211yescharacteristic
224#2354C2214yes—
225#2354C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2212yes—
228#2354C2212yes—
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2354C2212yes—
232#2354C2211yescharacteristic, complemented
233#2354C2212yescomplemented
234#2354C2211yescharacteristic, complemented
235#2354C2212yescomplemented
236#2354C2212yescomplemented
237#2353C2212yes—
238#2352C2211yescharacteristic
239#2352C2212yes—
240#2352C2212yescomplemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2211yescharacteristic, complemented
248D4×C4⋊C4C2212yescomplemented
249#2347C2211yescharacteristic, complemented
250#2347C2212yescomplemented
251#2346C2212yescomplemented
252#2345C2211yescharacteristic
253#2345C2212yescomplemented
254#2341C2212yes—
255#2339C2212yes—
256#2335C2214yescomplemented
257#2326C2214yescomplemented
258#2324C2212yescomplemented
259#2324C2214yescomplemented
260#2323C2214yescomplemented
261#2317C2212yescomplemented
262#2311C2212yescomplemented
263#2311C2212yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2212yescomplemented
266C4×#127C2212yes—
267C4×#127C2211yescharacteristic
268C4×#125C2211yescharacteristic, complemented
269C4×#126C2212yescomplemented
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2214yes—
272C4×C22⋊Q8C2212yescomplemented
273C4×#123C2212yescomplemented
274C4×#121C2212yes—
275C4×#121C2214yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic, complemented
280C4×#120C2212yes—
281#2297C2212yes—
282#2295C2212yescomplemented
283#2293C2211yescharacteristic
284C2×#390C2212yes—
285#2290C2214yes—
286C2×#388C2214yes—
287#2285C2212yescomplemented
288C2×#384C2211yescharacteristic
289C2×#384C2211yescharacteristic, complemented
290C2×#380C2212yes—
291C2×#380C2212yes—
292#2274C2212yescomplemented
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#555—48no—
304#554—48no—
305#553—28no—
306#553—48no—
307#547—28no—
308#546—48no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327#525—216no—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#120C2312yes—
364C2×#120C2312yes—
365C2×#120C2312yes—
366C2×#120C2314yes—
367#520—48no—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4—28no—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×#117—48no—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2314yes—
434C22×C42C2312yes—
435C22×C42C2312yes—
436#401C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#383C2312yes—
711#383C2314yes—
712#382C2311yescharacteristic
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#381C2314yes—
718#381C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2314yes—
750#379C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2314yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—42no—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4—28no—
854C23×C4—28no—
855C23×C4—44no—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—82no—
883#127—24no—
884#127—42no—
885#126—28no—
886#126—48no—
887#125—24no—
888#125—44no—
889#125—48no—
890#124—28no—
891#124—48no—
892#124—48no—
893#124—44no—
894#124—44no—
895#123—28no—
896#123—28no—
897#123—216no—
898#123—28no—
899#123—48no—
900#123—48no—
901#123—84no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—84no—
910#121—28no—
911#121—24no—
912#121—28no—
913#121—28no—
914#121—24no—
915#121—24no—
916#121—24no—
917#121—24no—
918#121—28no—
919#121—28no—
920#121—48no—
921#121—48no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—48no—
928#121—84no—
929#121—84no—
930#120—28no—
931#120—28no—
932#120—28no—
933#120—48no—
934C4×Q8—48no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—48no—
964C4×D4—84no—
965C4×D4#4118yes—
966C4×D4#4118yescomplemented
967#117—24no—
968#117—28no—
969#117—28no—
970#117—24no—
971#117—28no—
972#117—28no—
973#117—48no—
974#117—48no—
975#117—48no—
976#117—44no—
977#117—44no—
978#117—44no—
979C2×C4⋊C4—28no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—28no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—82no—
990C2×C4⋊C4—82no—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C22⋊C4—28no—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—84no—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—48no—
1127C2×C42—44no—
1128C2×C42—44no—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2412yes—
1193#95C2411yescharacteristic
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218C24—24no—
1219C24—24no—
1220C24—24no—
1221C24—24no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24C2512yes—
1226C24C2512yes—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2511yescharacteristic
1231#41—432no—
1232#41—816no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—42no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—416no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4C2×#4114yes—
1299C2×D4C2×#4114yes—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—432no—
1346C22×C4—44no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4C2×#4118yes—
1364C22×C4C2×#4114yes—
1365C22×C4C2×#4114yes—
1366C22×C4H(5,𝔽2)14yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2514yes—
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—28no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—28no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—28no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4C2×#4114yes—
1456C4⋊C4C2×#4114yes—
1457C4⋊C4H(5,𝔽2)14yes—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—22no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—22no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4C2×#4118yes—
1522C22⋊C4C2×#4114yes—
1523C22⋊C4C2×#4114yes—
1524C22⋊C42−1+414yes—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—24no—
1533C42—28no—
1534C42—28no—
1535C42—28no—
1536C42—24no—
1537C42—24no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—24no—
1542C42—24no—
1543C42—22no—
1544C42—24no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—42no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42—42no—
1554C42—44no—
1555C42—41no—
1556C42C2×#4114yes—
1557C42C2×#4114yes—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—48no—
1596C23—48no—
1597C23—48no—
1598C23—48no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23C22×#4112yes—
1603C23C22×#4114yes—
1604C23C22×#4112yes—
1605C23C2×H(5,𝔽2)12yes—
1606C23C2×2−1+412yes—
1607C23C2611yescharacteristic
1608Q8—48no—
1609Q8—48no—
1610Q8—164no—
1611D4—28no—
1612D4—28no—
1613D4—48no—
1614D4—48no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—44no—
1621D4—44no—
1622D4—44no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—88no—
1628D4—164no—
1629D4—164no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—28no—
1651C2×C4—216no—
1652C2×C4—28no—
1653C2×C4—28no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—44no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—48no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—164no—
1721C2×C4—164no—
1722C2×C4—164no—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C22×#4112yes—
1728C2×C4C22×#4114yes—
1729C2×C4C22×#4112yes—
1730C2×C4C22×#4112yes—
1731C2×C4C22×#4112yes—
1732C2×C4C2×H(5,𝔽2)14yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×2−1+412yes—
1737C2×C4C2×2−1+412yes—
1738C2×C4#58512yes—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—24no—
1747C22—24no—
1748C22—22no—
1749C22—24no—
1750C22—22no—
1751C22—42no—
1752C22—41no—
1753C22—41no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—816no—
1781C22#351114yes—
1782C22C23×#4111yescharacteristic
1783C22C23×#4111yescharacteristic
1784C22C22×H(5,𝔽2)11yescharacteristic
1785C22C22×H(5,𝔽2)11yescharacteristic
1786C22C22×2−1+411yescharacteristic
1787C22C2×#58511yescharacteristic
1788C22H(7,𝔽2)11yescharacteristic
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—24no—
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—24no—
1798C4—22no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—41no—
1803C4—42no—
1804C4—41no—
1805C4—42no—
1806C4—44no—
1807C4—42no—
1808C4—42no—
1809C4—44no—
1810C4—44no—
1811C4—42no—
1812C4—44no—
1813C4—41no—
1814C4—42no—
1815C4—42no—
1816C4#348114yes—
1817C4#349414yes—
1818C2—24no—
1819C2—42no—
1820C2—44no—
1821C2—82no—
1822C2—82no—
1823C2—82no—
1824C2C2×#348111yescharacteristic
1825C2C2×#349411yescharacteristic
1826C2C2×#351111yescharacteristic
1827C2#6291611yescharacteristic
1828C2#6299411yescharacteristic
1829C2#6300011yescharacteristic
1830C2#6301311yescharacteristic
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. #59685C2semidirect
2. #59678C2semidirect
3. #59650C2semidirect
4. #59478C2semidirect
5. #59304C2semidirect
6. #59303C2semidirect
7. #59278C2semidirect
8. #59199C2semidirect
9. #45126C2semidirect
10. #44974C2semidirect
11. #44812C2semidirect
12. #44749C2semidirect
13. #40179C2semidirect
14. #40054C2semidirect
15. #39497C2semidirect
16. #39471C2semidirect
17. #38506C2semidirect
18. #37836C2semidirect
19. #36586C2semidirect
20. #36518C2semidirect
21. #36362C2semidirect
22. #36315C2semidirect
23. #36235C2semidirect
24. #36187C2semidirect
25. #36180C2semidirect
26. #36153C2semidirect
27. #36087C2semidirect
28. #36026C2semidirect
29. #34772C2semidirect
30. #34681C2semidirect
31. #34316C2semidirect
32. #34207C2semidirect
33. #34202C2semidirect
34. C4×#553C2semidirect
35. C2×#2354C2semidirect
36. C2×#555C22semidirect
44. C2×#520C22semidirect
47. #2868C22semidirect
50. #2857C22semidirect
55. #2801C22semidirect
56. #2797C22semidirect
57. #2796C22semidirect
58. #2795C22semidirect
59. #2790C22semidirect
60. #2759C22semidirect
61. #2748C22semidirect
62. #2746C22semidirect
63. #2742C22semidirect
64. #2737C22semidirect
65. #2729C22semidirect
66. #2718C22semidirect
68. #2710C22semidirect
69. #2705C22semidirect
70. #2703C22semidirect
71. #2702C22semidirect
72. #2701C22semidirect
74. #2693C22semidirect
75. #2671C22semidirect
76. #2651C22semidirect
77. #2632C22semidirect
78. #2629C22semidirect
79. #2615C22semidirect
80. #2610C22semidirect
81. #2609C22semidirect
82. #2602C22semidirect
83. #2598C22semidirect
84. #2597C22semidirect
85. #2596C22semidirect
86. #2591C22semidirect
87. #2576C22semidirect
88. #2571C22semidirect
89. #2567C22semidirect
92. #2564C22semidirect
93. #2563C22semidirect
94. #2562C22semidirect
95. #2560C22semidirect
97. #2558C22semidirect
100. #2552C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
103. #2550C22semidirect
105. #2547C22semidirect
109. #2540C22semidirect
111. #2537C22semidirect
112. #2537C22semidirect
113. #2531C22semidirect
114. #2529C22semidirect
115. #2526C22semidirect
116. #2525C22semidirect
117. #2522C22semidirect
118. #2520C22semidirect
119. #2519C22semidirect
120. #2515C22semidirect
121. #2514C22semidirect
122. #2511C22semidirect
124. #2507C22semidirect
126. #2505C22semidirect
128. #2502C22semidirect
129. #2501C22semidirect
131. #2500C22semidirect
132. #2500C22semidirect
133. #2497C22semidirect
134. #2497C22semidirect
135. #2497C22semidirect
136. #2496C22semidirect
137. #2494C22semidirect
138. #2492C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2489C22semidirect
145. #2487C22semidirect
146. #2487C22semidirect
148. #2485C22semidirect
149. #2485C22semidirect
150. #2476C22semidirect
151. #2474C22semidirect
157. #2464C22semidirect
159. #2461C22semidirect
160. #2461C22semidirect
165. #2448C22semidirect
168. #2441C22semidirect
172. #2440C22semidirect
173. #2440C22semidirect
174. #2440C22semidirect
175. #2439C22semidirect
188. #2422C22semidirect
194. #2416C22semidirect
195. #2414C22semidirect
199. #2402C22semidirect
200. #2396C22semidirect
203. #2374C22semidirect
204. #2374C22semidirect
205. #2373C22semidirect
206. #2370C22semidirect
207. #2367C22semidirect
208. #2365C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2362C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
217. #2359C22semidirect
218. #2359C22semidirect
222. #2357C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
240. #2352C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
249. #2347C22semidirect
250. #2347C22semidirect
251. #2346C22semidirect
253. #2345C22semidirect
256. #2335C22semidirect
257. #2326C22semidirect
258. #2324C22semidirect
259. #2324C22semidirect
260. #2323C22semidirect
261. #2317C22semidirect
262. #2311C22semidirect
263. #2311C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
268. C4×#125C22semidirect
269. C4×#126C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×#123C22semidirect
279. C4×#121C22semidirect
282. #2295C22semidirect
287. #2285C22semidirect
289. C2×#384C22semidirect
292. #2274C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
966. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596852
#596782
#596502
#594782
#593042
#593032
#592782
#591992
#451262
#449742
#448122
#447492
#401792
#400542
#394972
#394712
#385062
#378362
#365862
#365182
#363622
#363152
#362352
#361872
#361802
#361532
#360872
#360262
#347722
#346812
#343162
#342072
#342022
C4×#5532
C2×#23542