Finite Group Databasebeta

← #7674966

Subgroups — #7674966

Order 512.

8006 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C212yesmaximal, complemented
2#59121C212yesmaximal, complemented
3#59115C212yesmaximal, complemented
4#59101C212yesmaximal, complemented
5#59099C212yesmaximal, complemented
6#59028C212yesmaximal, complemented
7#59018C212yesmaximal, complemented
8#59003C212yesmaximal, complemented
9#59000C212yesmaximal, complemented
10#43926C214yesmaximal, complemented
11#43922C214yesmaximal, complemented
12#43042C214yesmaximal, complemented
13#43038C214yesmaximal, complemented
14#39486C212yesmaximal, complemented
15#39486C211yesmaximal, characteristic, complemented
16#39358C212yesmaximal, complemented
17#39358C211yesmaximal, characteristic, complemented
18#39165C212yesmaximal, complemented
19#38076C214yesmaximal, complemented
20#36596C211yesmaximal, characteristic, complemented
21#36561C211yesmaximal, characteristic, complemented
22#36214C212yesmaximal, complemented
23#35365C214yesmaximal, complemented
24#35032C211yesmaximal, characteristic, complemented
25#35005C212yesmaximal, complemented
26#34737C212yesmaximal, complemented
27#34273C212yesmaximal, complemented
28C2×#2363C211yesmaximal, characteristic, complemented
29C4×#534C211yesmaximal, characteristic, complemented
30#3519—232no—
31C2×#555C2212yescomplemented
32C2×#554C2212yescomplemented
33C2×#553C2212yes—
34C2×#553C2214yescomplemented
35C2×#553C2212yescomplemented
36C2×#550C2212yes—
37C2×#546C2214yescomplemented
38C2×#546C2212yescomplemented
39C2×#546C2214yescomplemented
40C2×#546C2212yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2212yescomplemented
43C2×D42C2214yescomplemented
44C2×#540C2214yescomplemented
45C2×#538C2214yescomplemented
46C2×#538C2214yescomplemented
47C2×#534C2211yescharacteristic
48C2×#534C2212yes—
49C2×#532C2212yescomplemented
50C2×#529C2212yescomplemented
51C2×#525C2212yescomplemented
52C2×#525C2212yescomplemented
53C2×#525C2212yescomplemented
54C22×#121C2211yescharacteristic
55C22×#121C2212yescomplemented
56C2×#518C2214yescomplemented
57C22×C4×D4C2212yescomplemented
58C22×C4×D4C2211yescharacteristic, complemented
59C22×#117C2211yescharacteristic, complemented
60#2857C2212yescomplemented
61#2857C2211yescharacteristic, complemented
62#2856C2212yescomplemented
63#2856C2211yescharacteristic, complemented
64#2850C2212yescomplemented
65#2847C2214yescomplemented
66#2725C2214yescomplemented
67#2724C2212yescomplemented
68#2724C2214yescomplemented
69#2709C2214yescomplemented
70#2708C2214yescomplemented
71#2707C2214yescomplemented
72#2702C2214yescomplemented
73#2701C2214yescomplemented
74#2701C2214yescomplemented
75#2701C2214yescomplemented
76#2688C2214yescomplemented
77#2688C2214yescomplemented
78#2686C2214yescomplemented
79#2684C2214yescomplemented
80#2682C2214yescomplemented
81#2682C2212yescomplemented
82#2682C2212yescomplemented
83#2682C2214yescomplemented
84#2681C2214yescomplemented
85#2679C2212yescomplemented
86#2679C2214yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2673C2214yescomplemented
91#2668C2214yescomplemented
92#2639C2214yescomplemented
93#2617C2212yescomplemented
94#2617C2212yescomplemented
95#2617C2212yescomplemented
96#2617C2212yescomplemented
97#2602C2214yescomplemented
98#2602C2214yescomplemented
99#2564C2214yescomplemented
100#2559C2214yescomplemented
101#2559C2214yescomplemented
102#2557C2214yescomplemented
103#2557C2214yescomplemented
104#2556C2214yescomplemented
105#2554C2214yescomplemented
106#2552C2211yescharacteristic, complemented
107#2551C2211yescharacteristic, complemented
108#2544C2212yescomplemented
109#2543C2214yescomplemented
110#2543C2214yescomplemented
111#2542C2211yescharacteristic, complemented
112#2541C2211yescharacteristic, complemented
113#2535C2212yescomplemented
114#2534C2214yescomplemented
115#2512C2212yescomplemented
116#2506C2212yescomplemented
117#2500C2212yescomplemented
118#2499C2212yescomplemented
119#2496C2214yescomplemented
120#2492C2212yescomplemented
121#2491C2214yescomplemented
122#2490C2212yescomplemented
123#2480C2214yescomplemented
124#2478C2214yescomplemented
125#2476C2214yescomplemented
126#2474C2214yescomplemented
127#2472C2214yescomplemented
128#2470C2214yescomplemented
129#2468C2214yescomplemented
130#2466C2214yescomplemented
131#2464C2214yescomplemented
132#2461C2214yescomplemented
133#2459C2214yescomplemented
134#2457C2214yescomplemented
135#2456C2214yescomplemented
136#2455C2214yescomplemented
137#2453C2212yescomplemented
138#2452C2212yescomplemented
139#2452C2212yescomplemented
140#2447C2214yescomplemented
141#2447C2212yescomplemented
142#2445C2214yescomplemented
143#2445C2212yescomplemented
144#2445C2212yescomplemented
145#2444C2214yescomplemented
146#2444C2214yescomplemented
147#2442C2212yescomplemented
148#2439C2212yescomplemented
149#2433C2214yescomplemented
150#2433C2212yescomplemented
151#2432C2214yescomplemented
152#2432C2212yescomplemented
153#2432C2212yescomplemented
154#2431C2212yescomplemented
155#2430C2214yescomplemented
156#2428C2212yescomplemented
157#2428C2214yescomplemented
158#2427C2212yescomplemented
159#2427C2212yescomplemented
160#2426C2212yescomplemented
161#2425C2214yescomplemented
162#2424C2214yescomplemented
163#2424C2214yescomplemented
164#2422C2214yescomplemented
165#2422C2214yescomplemented
166#2422C2212yescomplemented
167#2422C2214yescomplemented
168#2422C2212yescomplemented
169#2419C2214yescomplemented
170#2418C2214yescomplemented
171#2418C2214yescomplemented
172#2417C2214yescomplemented
173#2417C2212yescomplemented
174#2417C2212yescomplemented
175#2416C2214yescomplemented
176#2416C2212yescomplemented
177#2416C2212yescomplemented
178#2416C2212yescomplemented
179#2415C2212yescomplemented
180#2415C2212yescomplemented
181#2415C2212yescomplemented
182#2414C2212yescomplemented
183#2414C2212yescomplemented
184#2413C2214yescomplemented
185#2412C2214yescomplemented
186#2412C2214yescomplemented
187#2412C2214yescomplemented
188#2411C2214yescomplemented
189#2410C2214yescomplemented
190#2410C2214yescomplemented
191#2410C2214yescomplemented
192#2410C2214yescomplemented
193#2408C2214yescomplemented
194#2408C2212yescomplemented
195#2407C2212yescomplemented
196#2407C2214yescomplemented
197#2405C2214yescomplemented
198#2404C2214yescomplemented
199#2392C2214yescomplemented
200#2392C2214yescomplemented
201#2366C2211yescharacteristic, complemented
202#2365C2211yescharacteristic, complemented
203#2363C2214yescomplemented
204#2363C2214yescomplemented
205#2363C2212yescomplemented
206#2363C2212yescomplemented
207#2363C2212yescomplemented
208#2363C2212yescomplemented
209#2363C2212yescomplemented
210#2360C2212yescomplemented
211#2359C2214yescomplemented
212#2359C2214yescomplemented
213#2359C2214yescomplemented
214#2359C2214yescomplemented
215#2358C2214yescomplemented
216#2358C2214yescomplemented
217#2358C2214yescomplemented
218#2358C2214yescomplemented
219#2354C2211yescharacteristic, complemented
220#2349C2212yescomplemented
221D4×C4⋊C4C2211yescharacteristic, complemented
222#2339C2212yescomplemented
223D4×C22⋊C4C2212yescomplemented
224#2325C2211yescharacteristic
225#2325C2212yescomplemented
226#2325C2212yescomplemented
227#2325C2211yescharacteristic, complemented
228#2325C2214yescomplemented
229#2325C2212yescomplemented
230#2322C2212yescomplemented
231#2322C2212yescomplemented
232#2321C2212yescomplemented
233#2321C2212yescomplemented
234#2315C2211yescharacteristic, complemented
235#2315C2212yescomplemented
236#2308C2212yescomplemented
237C4×#123C2212yescomplemented
238C4×#123C2212yescomplemented
239C4×#121C2211yescharacteristic
240C4×#121C2212yes—
241C4×#121C2214yescomplemented
242C4×#121C2214yescomplemented
243C4×#121C2211yescharacteristic, complemented
244C4×#121C2212yescomplemented
245C4×#121C2212yescomplemented
246C4×#120C2212yescomplemented
247C4×#120C2212yescomplemented
248#2297C2212yescomplemented
249#2296C2212yescomplemented
250C2×#390C2212yescomplemented
251C2×#390C2211yescharacteristic, complemented
252C2×#389C2211yescharacteristic, complemented
253C2×#388C2212yescomplemented
254C2×#386C2212yescomplemented
255C2×#386C2214yescomplemented
256#2280C2212yescomplemented
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C2×C4×C22⋊C4C2212yescomplemented
260C22×#41C2312yes—
261C22×#41C2312yes—
262C22×#41C2314yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2312yes—
266C23×D4C2314yes—
267C23×D4C2311yescharacteristic
268C23×D4C2312yes—
269C24×C4C2312yes—
270C24×C4C2312yes—
271C24×C4C2311yescharacteristic
272#555—216no—
273#554—216no—
274#553—216no—
275#553—232no—
276#553—216no—
277#550—216no—
278#546—232no—
279#546—216no—
280#546—232no—
281#546—216no—
282#546—48no—
283D42—232no—
284D42—216no—
285#540—232no—
286#538—232no—
287#538—232no—
288#534—28no—
289#534—216no—
290#532—216no—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2311yescharacteristic
293C2×C4⋊Q8C2312yes—
294C2×#127C2314yes—
295C2×#127C2312yes—
296C2×#127C2311yescharacteristic
297C2×#127C2312yes—
298#529—216no—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#125C2312yes—
303C2×#125C2314yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#124C2312yes—
309#525—216no—
310#525—216no—
311#525—48no—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121—216no—
335C2×#121D4116yescomplemented
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2311yescharacteristic
367C2×#120C2312yes—
368C2×#120C2312yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380#518—232no—
381C2×C4×Q8C2312yes—
382C2×C4×D4—216no—
383C2×C4×D4—44no—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×#117—44no—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2311yescharacteristic
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2311yescharacteristic
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2314yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C42C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2312yes—
447C22×C42C2312yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2314yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#382C2312yes—
680#381C2312yes—
681#381C2312yes—
682#381C2314yes—
683#381C2314yes—
684#381C2314yes—
685#380C2312yes—
686#380C2314yes—
687#380C2311yescharacteristic
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2312yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2314yes—
700#379C2312yes—
701#379C2312yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C2×#95C2312yes—
737C2×#95C2311yescharacteristic
738C2×#95C2311yescharacteristic
739C2×#95C2312yes—
740C2×#95C2314yes—
741C2×#95C2314yes—
742C25C2414yes—
743C25C2412yes—
744C25C2411yescharacteristic
745C25C2412yes—
746C2×#41—28no—
747C2×#41—216no—
748C2×#41—28no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—84no—
754C2×#41—84no—
755C22×Q8C2412yes—
756C22×Q8C2414yes—
757C22×D4—28no—
758C22×D4—216no—
759C22×D4—28no—
760C22×D4—216no—
761C22×D4—28no—
762C22×D4—216no—
763C22×D4—42no—
764C22×D4—42no—
765C22×D4—44no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—48no—
769C22×D4—82no—
770C22×D4—82no—
771C22×D4—84no—
772C22×D4—84no—
773C22×D4C2×D418yes—
774C22×D4C2×D4116yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2411yescharacteristic
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2411yescharacteristic
801C23×C4—28no—
802C23×C4—42no—
803C23×C4—42no—
804C23×C4—44no—
805C23×C4—44no—
806C23×C4—44no—
807C23×C4—44no—
808C23×C4—82no—
809C23×C4C2×D418yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2414yes—
815C23×C4C2411yescharacteristic
816C23×C4C2412yes—
817C23×C4C2411yescharacteristic
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—28no—
837C4⋊Q8—42no—
838C4⋊Q8—82no—
839#127—28no—
840#127—216no—
841#127—42no—
842#127—82no—
843#126—216no—
844#126—216no—
845#126—216no—
846#125—28no—
847#125—216no—
848#124—28no—
849#124—216no—
850#124—216no—
851#124—216no—
852#124—44no—
853#123—216no—
854#123—216no—
855#123—216no—
856#123—216no—
857#123—216no—
858#123—28no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—28no—
863#123—216no—
864#123—48no—
865#123—48no—
866#123—84no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—216no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—28no—
873C22⋊Q8—44no—
874C22⋊Q8—84no—
875#121—216no—
876#121—28no—
877#121—28no—
878#121—216no—
879#121—216no—
880#121—216no—
881#121—216no—
882#121—216no—
883#121—216no—
884#121—216no—
885#121—28no—
886#121—216no—
887#121—28no—
888#121—28no—
889#121—216no—
890#121—24no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—216no—
895#121—216no—
896#121—44no—
897#121—48no—
898#121—48no—
899#121—44no—
900#121—84no—
901#121—84no—
902#121C2×D4116yes—
903#121C2×D4116yes—
904#121C2×D4132yes—
905#121#4118yescomplemented
906#120—216no—
907#120—216no—
908#120—216no—
909#120—216no—
910#120—216no—
911#120—216no—
912#120—28no—
913#120—216no—
914#120—28no—
915#120—216no—
916#120—48no—
917#120—48no—
918#120—84no—
919C4×Q8—28no—
920C4×D4—216no—
921C4×D4—216no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—216no—
933C4×D4—216no—
934C4×D4—216no—
935C4×D4—216no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—216no—
939C4×D4—216no—
940C4×D4—216no—
941C4×D4—216no—
942C4×D4—48no—
943C4×D4—44no—
944C4×D4—48no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—82no—
950C4×D4—82no—
951#117—28no—
952#117—28no—
953#117—28no—
954#117—216no—
955#117—216no—
956#117—48no—
957#117—44no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—82no—
963C2×C4⋊C4C2×D418yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4—28no—
1010C2×C22⋊C4—216no—
1011C2×C22⋊C4—28no—
1012C2×C22⋊C4—24no—
1013C2×C22⋊C4—28no—
1014C2×C22⋊C4—216no—
1015C2×C22⋊C4—216no—
1016C2×C22⋊C4—44no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—48no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—84no—
1021C2×C22⋊C4—82no—
1022C2×C22⋊C4C2×D4116yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C42—28no—
1091C2×C42—44no—
1092C2×C42—42no—
1093C2×C42—42no—
1094C2×C42—82no—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154C24—22no—
1155C24—24no—
1156C24—22no—
1157C24—24no—
1158C24—24no—
1159C24—28no—
1160C24—24no—
1161C24—28no—
1162C24—41no—
1163C24—42no—
1164C24—42no—
1165C24—41no—
1166C24—42no—
1167C24—42no—
1168C24—42no—
1169C24—41no—
1170C24—41no—
1171C24—42no—
1172C24—42no—
1173C24—44no—
1174C24—42no—
1175C24—42no—
1176C24—44no—
1177C24—44no—
1178C24—44no—
1179C24—44no—
1180C24C22×D418yes—
1181C24C22×D414yes—
1182C24C2514yes—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2514yes—
1186C24C2512yes—
1187C24C2511yescharacteristic
1188#41—816no—
1189#41—816no—
1190#41—832no—
1191C2×Q8—24no—
1192C2×Q8—28no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—416no—
1231C2×D4—42no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—41no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—432no—
1271C2×D4—464no—
1272C2×D4—816no—
1273C2×D4—816no—
1274C2×D4—832no—
1275C2×D4C22×D418yes—
1276C2×D4C22×D4116yes—
1277C2×D4C22×D4116yes—
1278C2×D4C22×D418yes—
1279C2×D4C2×#4118yes—
1280C2×D4C2×#4114yes—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—28no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—416no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—44no—
1331C22×C4—41no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—816no—
1355C22×C4—816no—
1356C22×C4C22×D418yes—
1357C22×C4C22×D414yes—
1358C22×C4C22×D418yes—
1359C22×C4C22×D414yes—
1360C22×C4C22×D418yes—
1361C22×C4C2×#4114yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2514yes—
1374C22×C4C2514yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—28no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—41no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—41no—
1425C4⋊C4C22×D414yes—
1426C4⋊C4C22×D414yes—
1427C4⋊C4C22×D418yes—
1428C4⋊C4C2×#4114yes—
1429C4⋊C4H(5,𝔽2)14yes—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4C22×D4116yes—
1495C22⋊C4C22×D4116yes—
1496C22⋊C4C2×#4118yes—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—28no—
1502C42—28no—
1503C42—28no—
1504C42—28no—
1505C42—24no—
1506C42—22no—
1507C42—22no—
1508C42—41no—
1509C42—41no—
1510C42—44no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—28no—
1539C23—216no—
1540C23—22no—
1541C23—24no—
1542C23—22no—
1543C23—24no—
1544C23—24no—
1545C23—22no—
1546C23—22no—
1547C23—24no—
1548C23—22no—
1549C23—24no—
1550C23—22no—
1551C23—24no—
1552C23—24no—
1553C23—22no—
1554C23—44no—
1555C23—48no—
1556C23—44no—
1557C23—48no—
1558C23—48no—
1559C23—416no—
1560C23—48no—
1561C23—84no—
1562C23—84no—
1563C23—82no—
1564C23—84no—
1565C23—82no—
1566C23—84no—
1567C23—82no—
1568C23—82no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—88no—
1573C23—88no—
1574C23—88no—
1575C23—88no—
1576C23—84no—
1577C23—84no—
1578C23—164no—
1579C23—164no—
1580C23C23×D418yes—
1581C23C23×D414yes—
1582C23C23×D412yes—
1583C23C22×#4114yes—
1584C23C22×#4112yes—
1585C23#58512yes—
1586C23C2611yescharacteristic
1587Q8—48no—
1588Q8—88no—
1589D4—216no—
1590D4—216no—
1591D4—48no—
1592D4—416no—
1593D4—416no—
1594D4—44no—
1595D4—48no—
1596D4—416no—
1597D4—48no—
1598D4—416no—
1599D4—416no—
1600D4—48no—
1601D4—416no—
1602D4—48no—
1603D4—82no—
1604D4—84no—
1605D4—88no—
1606D4—88no—
1607D4—84no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—162no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—216no—
1632C2×C4—28no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—44no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—416no—
1682C2×C4—44no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—88no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—88no—
1692C2×C4—82no—
1693C2×C4—84no—
1694C2×C4—82no—
1695C2×C4—84no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4C23×D414yes—
1700C2×C4C23×D414yes—
1701C2×C4C23×D414yes—
1702C2×C4C23×D412yes—
1703C2×C4C23×D412yes—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4114yes—
1707C2×C4C2×H(5,𝔽2)14yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4#58512yes—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—24no—
1717C22—24no—
1718C22—24no—
1719C22—28no—
1720C22—24no—
1721C22—28no—
1722C22—24no—
1723C22—28no—
1724C22—24no—
1725C22—42no—
1726C22—44no—
1727C22—42no—
1728C22—44no—
1729C22—42no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—44no—
1736C22—42no—
1737C22—42no—
1738C22—44no—
1739C22—42no—
1740C22—44no—
1741C22—42no—
1742C22—44no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—44no—
1748C22—42no—
1749C22—42no—
1750C22—44no—
1751C22—88no—
1752C22—816no—
1753C22—816no—
1754C22—1616no—
1755C22D4×#4114yes—
1756C22C24×D411yescharacteristic
1757C22C23×#4111yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C2×#58511yescharacteristic
1760C22C2×#58511yescharacteristic
1761C22H(7,𝔽2)11yescharacteristic
1762C22H(7,𝔽2)11yescharacteristic
1763C4—22no—
1764C4—22no—
1765C4—24no—
1766C4—22no—
1767C4—24no—
1768C4—24no—
1769C4—24no—
1770C4—24no—
1771C4—42no—
1772C4—44no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—42no—
1778C4—44no—
1779C4—42no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—42no—
1784C4—44no—
1785C4#349614yes—
1786C2—24no—
1787C2—44no—
1788C2—48no—
1789C2—44no—
1790C2—82no—
1791C2—84no—
1792C2C2×D4×#4111yescharacteristic
1793C2C2×#349611yescharacteristic
1794C2#6284211yescharacteristic
1795C2#6289611yescharacteristic
1796C2#6291011yescharacteristic
1797C2#6298611yescharacteristic
1798C2#6299211yescharacteristic
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. C2×#3519C2semidirect
2. #59121C2semidirect
3. #59115C2semidirect
4. #59101C2semidirect
5. #59099C2semidirect
6. #59028C2semidirect
7. #59018C2semidirect
8. #59003C2semidirect
9. #59000C2semidirect
10. #43926C2semidirect
11. #43922C2semidirect
12. #43042C2semidirect
13. #43038C2semidirect
14. #39486C2semidirect
15. #39486C2semidirect
16. #39358C2semidirect
17. #39358C2semidirect
18. #39165C2semidirect
19. #38076C2semidirect
20. #36596C2semidirect
21. #36561C2semidirect
22. #36214C2semidirect
23. #35365C2semidirect
24. #35032C2semidirect
25. #35005C2semidirect
26. #34737C2semidirect
27. #34273C2semidirect
28. C2×#2363C2semidirect
29. C4×#534C2semidirect
31. C2×#555C22semidirect
32. C2×#554C22semidirect
34. C2×#553C22semidirect
35. C2×#553C22semidirect
37. C2×#546C22semidirect
38. C2×#546C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×D42C22semidirect
43. C2×D42C22semidirect
44. C2×#540C22semidirect
45. C2×#538C22semidirect
46. C2×#538C22semidirect
49. C2×#532C22semidirect
50. C2×#529C22semidirect
51. C2×#525C22semidirect
52. C2×#525C22semidirect
53. C2×#525C22semidirect
55. C22×#121C22semidirect
56. C2×#518C22semidirect
57. C22×C4×D4C22semidirect
58. C22×C4×D4C22semidirect
59. C22×#117C22semidirect
60. #2857C22semidirect
61. #2857C22semidirect
62. #2856C22semidirect
63. #2856C22semidirect
64. #2850C22semidirect
65. #2847C22semidirect
66. #2725C22semidirect
67. #2724C22semidirect
68. #2724C22semidirect
69. #2709C22semidirect
70. #2708C22semidirect
71. #2707C22semidirect
72. #2702C22semidirect
73. #2701C22semidirect
74. #2701C22semidirect
75. #2701C22semidirect
76. #2688C22semidirect
77. #2688C22semidirect
78. #2686C22semidirect
79. #2684C22semidirect
80. #2682C22semidirect
81. #2682C22semidirect
82. #2682C22semidirect
83. #2682C22semidirect
84. #2681C22semidirect
85. #2679C22semidirect
86. #2679C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2673C22semidirect
91. #2668C22semidirect
92. #2639C22semidirect
93. #2617C22semidirect
94. #2617C22semidirect
95. #2617C22semidirect
96. #2617C22semidirect
97. #2602C22semidirect
98. #2602C22semidirect
99. #2564C22semidirect
100. #2559C22semidirect
101. #2559C22semidirect
102. #2557C22semidirect
103. #2557C22semidirect
104. #2556C22semidirect
105. #2554C22semidirect
106. #2552C22semidirect
107. #2551C22semidirect
108. #2544C22semidirect
109. #2543C22semidirect
110. #2543C22semidirect
111. #2542C22semidirect
112. #2541C22semidirect
113. #2535C22semidirect
114. #2534C22semidirect
115. #2512C22semidirect
116. #2506C22semidirect
117. #2500C22semidirect
118. #2499C22semidirect
119. #2496C22semidirect
120. #2492C22semidirect
121. #2491C22semidirect
122. #2490C22semidirect
123. #2480C22semidirect
124. #2478C22semidirect
125. #2476C22semidirect
126. #2474C22semidirect
127. #2472C22semidirect
128. #2470C22semidirect
129. #2468C22semidirect
130. #2466C22semidirect
131. #2464C22semidirect
132. #2461C22semidirect
133. #2459C22semidirect
134. #2457C22semidirect
135. #2456C22semidirect
136. #2455C22semidirect
137. #2453C22semidirect
138. #2452C22semidirect
139. #2452C22semidirect
140. #2447C22semidirect
141. #2447C22semidirect
142. #2445C22semidirect
143. #2445C22semidirect
144. #2445C22semidirect
145. #2444C22semidirect
146. #2444C22semidirect
147. #2442C22semidirect
148. #2439C22semidirect
149. #2433C22semidirect
150. #2433C22semidirect
151. #2432C22semidirect
152. #2432C22semidirect
153. #2432C22semidirect
154. #2431C22semidirect
155. #2430C22semidirect
156. #2428C22semidirect
157. #2428C22semidirect
158. #2427C22semidirect
159. #2427C22semidirect
160. #2426C22semidirect
161. #2425C22semidirect
162. #2424C22semidirect
163. #2424C22semidirect
164. #2422C22semidirect
165. #2422C22semidirect
166. #2422C22semidirect
167. #2422C22semidirect
168. #2422C22semidirect
169. #2419C22semidirect
170. #2418C22semidirect
171. #2418C22semidirect
172. #2417C22semidirect
173. #2417C22semidirect
174. #2417C22semidirect
175. #2416C22semidirect
176. #2416C22semidirect
177. #2416C22semidirect
178. #2416C22semidirect
179. #2415C22semidirect
180. #2415C22semidirect
181. #2415C22semidirect
182. #2414C22semidirect
183. #2414C22semidirect
184. #2413C22semidirect
185. #2412C22semidirect
186. #2412C22semidirect
187. #2412C22semidirect
188. #2411C22semidirect
189. #2410C22semidirect
190. #2410C22semidirect
191. #2410C22semidirect
192. #2410C22semidirect
193. #2408C22semidirect
194. #2408C22semidirect
195. #2407C22semidirect
196. #2407C22semidirect
197. #2405C22semidirect
198. #2404C22semidirect
199. #2392C22semidirect
200. #2392C22semidirect
201. #2366C22semidirect
202. #2365C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
206. #2363C22semidirect
207. #2363C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
210. #2360C22semidirect
211. #2359C22semidirect
212. #2359C22semidirect
213. #2359C22semidirect
214. #2359C22semidirect
215. #2358C22semidirect
216. #2358C22semidirect
217. #2358C22semidirect
218. #2358C22semidirect
219. #2354C22semidirect
220. #2349C22semidirect
221. D4×C4⋊C4C22semidirect
222. #2339C22semidirect
223. D4×C22⋊C4C22semidirect
225. #2325C22semidirect
226. #2325C22semidirect
227. #2325C22semidirect
228. #2325C22semidirect
229. #2325C22semidirect
230. #2322C22semidirect
231. #2322C22semidirect
232. #2321C22semidirect
233. #2321C22semidirect
234. #2315C22semidirect
235. #2315C22semidirect
236. #2308C22semidirect
237. C4×#123C22semidirect
238. C4×#123C22semidirect
241. C4×#121C22semidirect
242. C4×#121C22semidirect
243. C4×#121C22semidirect
244. C4×#121C22semidirect
245. C4×#121C22semidirect
246. C4×#120C22semidirect
247. C4×#120C22semidirect
248. #2297C22semidirect
249. #2296C22semidirect
250. C2×#390C22semidirect
251. C2×#390C22semidirect
252. C2×#389C22semidirect
253. C2×#388C22semidirect
254. C2×#386C22semidirect
255. C2×#386C22semidirect
256. #2280C22semidirect
257. C2×C4×C4⋊C4C22semidirect
258. C2×C4×C22⋊C4C22semidirect
259. C2×C4×C22⋊C4C22semidirect
335. C2×#121D4semidirect
905. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
#591212
#591152
#591012
#590992
#590282
#590182
#590032
#590002
#439262
#439222
#430422
#430382
#394862
#393582
#391652
#380762
#365962
#365612
#362142
#353652
#350322
#350052
#347372
#342732
C2×#23632
C4×#5342