Finite Group Databasebeta

← #7671684

Subgroups — #7671684

Order 512.

7744 conjugacy classes of subgroups.

The subgroup lattice has 1767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C212yesmaximal, complemented
2#59837C214yesmaximal, complemented
3#59836C212yesmaximal, complemented
4#59834C212yesmaximal, complemented
5#59825C212yesmaximal, complemented
6#59814C212yesmaximal, complemented
7#59407C214yesmaximal, complemented
8#39425C212yesmaximal, complemented
9#39416C212yesmaximal, complemented
10#39381C211yesmaximal, characteristic, complemented
11#39372C211yesmaximal, characteristic, complemented
12#39365C211yesmaximal, characteristic, complemented
13#39355C211yesmaximal, characteristic, complemented
14#38433C212yesmaximal, complemented
15#38432C212yesmaximal, complemented
16#38425C212yesmaximal, complemented
17#38424C212yesmaximal, complemented
18#36631C211yesmaximal, characteristic, complemented
19#36266C214yesmaximal, complemented
20#36218C214yesmaximal, complemented
21#36143C212yesmaximal, complemented
22#36139C212yesmaximal, complemented
23#36123C212yesmaximal, complemented
24#36096C212yesmaximal, complemented
25#35606C212yesmaximal, complemented
26#35538C212yesmaximal, complemented
27#35302C212yesmaximal, complemented
28#35169C212yesmaximal, complemented
29#34309C212yesmaximal, complemented
30C4×#532C211yesmaximal, characteristic, complemented
31C2×#2293C211yesmaximal, characteristic, complemented
32#3494—232no—
33C2×#555C2214yescomplemented
34C2×#553C2214yescomplemented
35C2×#553C2214yescomplemented
36C2×#551C2214yescomplemented
37C2×#551C2214yescomplemented
38C2×#547C2214yescomplemented
39C2×#546C2212yes—
40C2×#546C2214yescomplemented
41C2×#546C2214yescomplemented
42C2×#546C2214yescomplemented
43C2×#544C2212yescomplemented
44C2×#542C2212yescomplemented
45C2×#542C2212yescomplemented
46C2×#540C2212yescomplemented
47C2×#540C2212yescomplemented
48C2×#535C2212yescomplemented
49C2×#532C2212yes—
50C2×#532C2211yescharacteristic
51C2×#529C2212yescomplemented
52C2×#529C2212yescomplemented
53C2×#525C2212yes—
54C22×#121C2212yescomplemented
55C2×#520C2212yescomplemented
56C2×#518C2212yescomplemented
57C2×C4×#41C2212yescomplemented
58C22×C4×D4C2211yescharacteristic
59C22×#117C2212yescomplemented
60#2861C2212yescomplemented
61#2860C2212yescomplemented
62#2860C2212yescomplemented
63#2859C2211yescharacteristic, complemented
64#2858C2211yescharacteristic, complemented
65#2857C2211yescharacteristic, complemented
66#2856C2211yescharacteristic
67#2855C2212yescomplemented
68#2854C2212yescomplemented
69#2854C2212yescomplemented
70#2854C2212yescomplemented
71#2854C2214yescomplemented
72#2850C2212yescomplemented
73#2850C2214yescomplemented
74#2848C2212yescomplemented
75#2847C2212yes—
76#2734C2212yescomplemented
77#2733C2212yescomplemented
78#2732C2212yes—
79#2732C2212yescomplemented
80#2730C2214yescomplemented
81#2729C2214yescomplemented
82#2727C2212yescomplemented
83#2726C2212yescomplemented
84#2724C2212yescomplemented
85#2724C2212yescomplemented
86#2707C2214yescomplemented
87#2702C2214yescomplemented
88#2701C2214yescomplemented
89#2699C2214yescomplemented
90#2697C2214yescomplemented
91#2683C2212yes—
92#2682C2212yescomplemented
93#2682C2212yescomplemented
94#2682C2212yescomplemented
95#2682C2212yescomplemented
96#2682C2212yescomplemented
97#2679C2212yes—
98#2679C2212yes—
99#2678C2214yescomplemented
100#2663C2214yescomplemented
101#2661C2214yescomplemented
102#2629C2212yescomplemented
103#2629C2212yescomplemented
104#2620C2212yescomplemented
105#2620C2212yescomplemented
106#2609C2214yescomplemented
107#2609C2214yescomplemented
108#2602C2214yescomplemented
109#2602C2214yescomplemented
110#2601C2214yescomplemented
111#2601C2214yescomplemented
112#2583C2214yescomplemented
113#2579C2214yescomplemented
114#2559C2214yescomplemented
115#2557C2214yescomplemented
116#2556C2214yescomplemented
117#2555C2214yescomplemented
118#2555C2214yescomplemented
119#2554C2214yescomplemented
120#2553C2214yescomplemented
121#2553C2214yescomplemented
122#2550C2212yescomplemented
123#2545C2214yescomplemented
124#2544C2212yescomplemented
125#2543C2214yescomplemented
126#2543C2214yescomplemented
127#2540C2212yescomplemented
128#2539C2214yescomplemented
129#2536C2214yescomplemented
130#2535C2212yescomplemented
131#2534C2214yescomplemented
132#2534C2214yescomplemented
133#2534C2214yescomplemented
134#2521C2214yescomplemented
135#2519C2214yescomplemented
136#2491C2212yescomplemented
137#2489C2212yescomplemented
138#2478C2214yescomplemented
139#2474C2214yescomplemented
140#2474C2214yescomplemented
141#2472C2214yescomplemented
142#2470C2214yescomplemented
143#2468C2214yescomplemented
144#2468C2214yescomplemented
145#2466C2214yescomplemented
146#2464C2214yes—
147#2464C2214yescomplemented
148#2461C2214yescomplemented
149#2461C2214yescomplemented
150#2456C2214yescomplemented
151#2456C2214yescomplemented
152#2455C2214yescomplemented
153#2454C2212yescomplemented
154#2451C2212yescomplemented
155#2447C2212yescomplemented
156#2445C2212yescomplemented
157#2443C2214yescomplemented
158#2443C2214yescomplemented
159#2441C2212yescomplemented
160#2440C2212yescomplemented
161#2433C2212yescomplemented
162#2432C2212yescomplemented
163#2430C2214yescomplemented
164#2429C2212yescomplemented
165#2429C2214yescomplemented
166#2428C2212yescomplemented
167#2428C2212yescomplemented
168#2427C2212yescomplemented
169#2426C2214yescomplemented
170#2425C2214yescomplemented
171#2425C2214yescomplemented
172#2425C2214yescomplemented
173#2425C2214yescomplemented
174#2424C2214yes—
175#2424C2214yescomplemented
176#2424C2214yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2422C2212yescomplemented
180#2422C2212yescomplemented
181#2419C2214yescomplemented
182#2418C2214yes—
183#2418C2214yescomplemented
184#2418C2214yescomplemented
185#2417C2212yescomplemented
186#2415C2214yescomplemented
187#2414C2212yes—
188#2414C2214yescomplemented
189#2413C2214yescomplemented
190#2413C2214yescomplemented
191#2411C2214yescomplemented
192#2411C2214yescomplemented
193#2410C2214yescomplemented
194#2408C2212yescomplemented
195#2407C2212yes—
196#2406C2214yescomplemented
197#2403C2214yes—
198#2367C2212yescomplemented
199#2364C2214yescomplemented
200#2362C2212yescomplemented
201#2361C2212yescomplemented
202#2359C2214yescomplemented
203#2359C2214yescomplemented
204#2359C2214yescomplemented
205#2358C2214yes—
206#2358C2214yescomplemented
207#2358C2214yescomplemented
208#2352C2212yes—
209#2349C2212yescomplemented
210#2349C2214yescomplemented
211#2342C2214yescomplemented
212#2339C2212yescomplemented
213#2339C2214yescomplemented
214D4×C22⋊C4C2214yescomplemented
215D4×C22⋊C4C2212yescomplemented
216#2324C2212yescomplemented
217#2324C2212yescomplemented
218#2323C2212yescomplemented
219#2323C2212yescomplemented
220#2322C2214yescomplemented
221#2321C2214yes—
222C4×C4⋊Q8C2211yescharacteristic, complemented
223C4×C4⋊Q8C2211yescharacteristic, complemented
224C4×C4⋊Q8C2211yescharacteristic, complemented
225C4×#127C2211yescharacteristic, complemented
226C4×#127C2211yescharacteristic, complemented
227C4×#127C2211yescharacteristic, complemented
228C4×#124C2212yescomplemented
229C4×#124C2212yescomplemented
230C4×#124C2212yescomplemented
231C4×#121C2212yescomplemented
232C4×#121C2214yescomplemented
233C4×#121C2212yescomplemented
234C4×#121C2212yescomplemented
235C4×#121C2212yescomplemented
236C4×#121C2212yescomplemented
237C4×#121C2212yescomplemented
238#2297C2212yescomplemented
239#2293C2211yescharacteristic
240#2293C2211yescharacteristic
241#2293C2211yescharacteristic
242#2293C2211yescharacteristic
243#2293C2212yescomplemented
244#2293C2212yescomplemented
245#2293C2212yescomplemented
246#2293C2212yescomplemented
247#2293C2212yescomplemented
248#2293C2212yescomplemented
249#2293C2211yescharacteristic, complemented
250#2293C2211yescharacteristic, complemented
251#2293C2212yescomplemented
252#2293C2211yescharacteristic, complemented
253#2293C2212yescomplemented
254#2293C2211yescharacteristic, complemented
255C2×#390C2211yescharacteristic
256C2×#390C2211yescharacteristic
257C2×#389C2211yescharacteristic, complemented
258C2×#389C2211yescharacteristic, complemented
259C2×#388C2214yescomplemented
260C2×#388C2212yescomplemented
261C2×#388C2212yescomplemented
262#2285C2211yescharacteristic, complemented
263C42×D4C2212yescomplemented
264C42×D4C2212yescomplemented
265C2×C4×C4⋊C4C2211yescharacteristic, complemented
266C2×C4×C22⋊C4C2212yescomplemented
267C2×C43C2211yescharacteristic, complemented
268C22×#41C2312yes—
269C22×#41C2314yes—
270C22×#41C2312yes—
271C23×D4C2312yes—
272C23×D4C2314yes—
273C23×D4C2311yescharacteristic
274C24×C4C2312yes—
275#555—232no—
276#553—232no—
277#553—232no—
278#551—232no—
279#551—232no—
280#547—232no—
281#546—232no—
282#546—232no—
283#546—216no—
284#546—416no—
285#544—216no—
286#542—216no—
287#542—216no—
288#540—216no—
289#540—216no—
290#535—216no—
291#532—216no—
292#532D4116yescomplemented
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2314yes—
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2311yescharacteristic
297C2×#127C2312yes—
298C2×#127C2311yescharacteristic
299C2×#127C2311yescharacteristic
300#529—216no—
301#529—216no—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2314yes—
309C2×#124C2312yes—
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#124C2314yes—
314C2×#124C2314yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317#525—216no—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×#121—216no—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372#520—216no—
373#518—216no—
374C4×#41—48no—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×D4—28no—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×#117—216no—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2314yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C22×C4⋊C4C2314yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2314yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2314yes—
443C22×C22⋊C4C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2312yes—
447C22×C42C2314yes—
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
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#394C2314yes—
507#393C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2312yes—
524#391C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
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#385C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2312yes—
745C4×C22⋊C4C2312yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2312yes—
748C4×C22⋊C4C2312yes—
749C2×#95C2312yes—
750C2×#95C2314yes—
751C2×#95C2314yes—
752C2×#95C2312yes—
753C2×#95C2312yes—
754C43C2311yescharacteristic
755C43C2311yescharacteristic
756C43C2311yescharacteristic
757C43C2311yescharacteristic
758C43C2311yescharacteristic
759C43C2311yescharacteristic
760C43C2311yescharacteristic
761C43C2311yescharacteristic
762C25C2412yes—
763C25C2414yes—
764C2×#41—28no—
765C2×#41—216no—
766C2×#41—28no—
767C2×#41—44no—
768C2×#41—44no—
769C2×#41—48no—
770C2×#41—48no—
771C2×#41—44no—
772C2×#41C2×D4116yes—
773C22×Q8C2412yes—
774C22×Q8C2414yes—
775C22×Q8C2412yes—
776C22×D4—28no—
777C22×D4—24no—
778C22×D4—216no—
779C22×D4—28no—
780C22×D4—42no—
781C22×D4—44no—
782C22×D4—42no—
783C22×D4—48no—
784C22×D4—48no—
785C22×D4C2412yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2411yescharacteristic
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2411yescharacteristic
805C23×C4—28no—
806C23×C4—28no—
807C23×C4—44no—
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2412yes—
815C23×C4C2414yes—
816C23×C4C2412yes—
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2414yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2411yescharacteristic
831C4⋊Q8—216no—
832C4⋊Q8—28no—
833C4⋊Q8—42no—
834C4⋊Q8C2×D418yescomplemented
835#127—28no—
836#127—42no—
837#127C2×D418yescomplemented
838#126—216no—
839#126—216no—
840#126—216no—
841#126—216no—
842#125—28no—
843#125—216no—
844#125—28no—
845#124—216no—
846#124—28no—
847#124—216no—
848#124—216no—
849#124—28no—
850#124—28no—
851#124—48no—
852#124C2×D4116yescomplemented
853#123—216no—
854#123—216no—
855#123—216no—
856#123—216no—
857#123—216no—
858#123—216no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—48no—
864#123—48no—
865#123—48no—
866#123—48no—
867C22⋊Q8—216no—
868C22⋊Q8—216no—
869C22⋊Q8—28no—
870C22⋊Q8—216no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—216no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876#121—28no—
877#121—216no—
878#121—28no—
879#121—216no—
880#121—216no—
881#121—216no—
882#121—216no—
883#121—216no—
884#121—28no—
885#121—216no—
886#121—28no—
887#121—28no—
888#121—28no—
889#121—216no—
890#121—216no—
891#121—216no—
892#121—48no—
893#121—48no—
894#121—44no—
895#121—44no—
896#121C2×D4116yes—
897#121C2×D4116yes—
898#120—216no—
899#120—216no—
900#120—216no—
901#120—216no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—48no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—216no—
913C4×D4—216no—
914C4×D4—24no—
915C4×D4—216no—
916C4×D4—216no—
917C4×D4—216no—
918C4×D4—28no—
919C4×D4—216no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—216no—
923C4×D4—216no—
924C4×D4—216no—
925C4×D4—216no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—48no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4C2×D4116yescomplemented
940C4×D4C2×D4116yescomplemented
941C4×D4#4118yescomplemented
942#117—28no—
943#117—216no—
944#117—216no—
945#117—28no—
946#117—28no—
947#117—28no—
948#117—28no—
949#117—28no—
950#117—28no—
951#117—28no—
952#117—28no—
953#117—216no—
954#117—48no—
955#117—44no—
956C2×C4⋊C4—28no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—216no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4—28no—
1015C2×C22⋊C4—28no—
1016C2×C22⋊C4—216no—
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—216no—
1019C2×C22⋊C4—216no—
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—216no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C42—28no—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—48no—
1090C2×C42—42no—
1091C2×C42—42no—
1092C2×C42—42no—
1093C2×C42—42no—
1094C2×C42C2×D418yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—24no—
1173C24—28no—
1174C24—28no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—44no—
1179C24—44no—
1180C24—44no—
1181C24—44no—
1182C24—44no—
1183C24C2514yes—
1184C24C2512yes—
1185C24C2514yes—
1186C24C2512yes—
1187C24C2511yescharacteristic
1188#41—432no—
1189#41—432no—
1190#41—832no—
1191C2×Q8—24no—
1192C2×Q8—28no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8C22×D418yes—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—432no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—42no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—416no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—832no—
1258C2×D4C22×D418yes—
1259C2×D4C22×D4116yes—
1260C2×D4C22×D418yes—
1261C2×D4C22×D418yes—
1262C2×D4C2×#4114yes—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—28no—
1296C22×C4—28no—
1297C22×C4—28no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—432no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4C22×D414yes—
1328C22×C4C22×D414yes—
1329C22×C4C22×D414yes—
1330C22×C4C22×D4116yes—
1331C22×C4C2×#4118yes—
1332C22×C4H(5,𝔽2)14yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2514yes—
1335C22×C4C2514yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—42no—
1392C4⋊C4—41no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4C22×D418yes—
1408C4⋊C4C22×D418yes—
1409C4⋊C4C2×#4114yes—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4C22×D4116yes—
1470C22⋊C4C22×D4116yes—
1471C22⋊C4C2×#4118yes—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—28no—
1477C42—28no—
1478C42—28no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—28no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—41no—
1494C42—41no—
1495C42—41no—
1496C42—41no—
1497C42—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C42—41no—
1502C42—41no—
1503C42—44no—
1504C42—44no—
1505C42C22×D414yes—
1506C42C22×D414yes—
1507C42C22×D414yes—
1508C42C22×D414yes—
1509C42C2×#4114yes—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—24no—
1520C23—24no—
1521C23—22no—
1522C23—24no—
1523C23—22no—
1524C23—24no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—24no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—48no—
1541C23—48no—
1542C23—48no—
1543C23—416no—
1544C23—48no—
1545C23—84no—
1546C23—84no—
1547C23—84no—
1548C23—88no—
1549C23—88no—
1550C23—88no—
1551C23—88no—
1552C23—164no—
1553C23—164no—
1554C23C23×D418yes—
1555C23C23×D412yes—
1556C23C22×#4114yes—
1557C23C2×H(5,𝔽2)12yes—
1558C23#58512yes—
1559C23C2611yescharacteristic
1560Q8—48no—
1561Q8—48no—
1562Q8—88no—
1563D4—232no—
1564D4—216no—
1565D4—44no—
1566D4—48no—
1567D4—48no—
1568D4—48no—
1569D4—416no—
1570D4—44no—
1571D4—416no—
1572D4—416no—
1573D4—48no—
1574D4—84no—
1575D4—84no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—88no—
1581D4—88no—
1582D4—164no—
1583C2×C4—28no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—28no—
1611C2×C4—28no—
1612C2×C4—216no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—44no—
1650C2×C4—416no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—48no—
1657C2×C4—416no—
1658C2×C4—48no—
1659C2×C4—48no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4—84no—
1667C2×C4—88no—
1668C2×C4C23×D412yes—
1669C2×C4C23×D412yes—
1670C2×C4C23×D418yes—
1671C2×C4C23×D412yes—
1672C2×C4C23×D412yes—
1673C2×C4C23×D412yes—
1674C2×C4C23×D412yes—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4112yes—
1677C2×C4C22×#4114yes—
1678C2×C4C22×#4112yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4#58512yes—
1682C2×C4#58512yes—
1683C2×C4#58512yes—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—28no—
1691C22—24no—
1692C22—28no—
1693C22—24no—
1694C22—24no—
1695C22—28no—
1696C22—42no—
1697C22—44no—
1698C22—42no—
1699C22—44no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—44no—
1704C22—44no—
1705C22—42no—
1706C22—44no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—42no—
1711C22—44no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—42no—
1717C22—44no—
1718C22—816no—
1719C22—1616no—
1720C22#349614yes—
1721C22C24×D411yescharacteristic
1722C22C23×#4111yescharacteristic
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22C2×#58511yescharacteristic
1728C4—22no—
1729C4—22no—
1730C4—28no—
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—24no—
1741C4—42no—
1742C4—42no—
1743C4—44no—
1744C4—41no—
1745C4—44no—
1746C4—42no—
1747C4—44no—
1748C4—42no—
1749C4—44no—
1750C4—41no—
1751C4—42no—
1752C4—44no—
1753C4D4×#4114yes—
1754C2—24no—
1755C2—44no—
1756C2—48no—
1757C2—82no—
1758C2—84no—
1759C2C2×D4×#4111yescharacteristic
1760C2C2×#349611yescharacteristic
1761C2#6280011yescharacteristic
1762C2#6281211yescharacteristic
1763C2#6281411yescharacteristic
1764C2#6282211yescharacteristic
1765C2#6282811yescharacteristic
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×#3494C2semidirect
2. #59837C2semidirect
3. #59836C2semidirect
4. #59834C2semidirect
5. #59825C2semidirect
6. #59814C2semidirect
7. #59407C2semidirect
8. #39425C2semidirect
9. #39416C2semidirect
10. #39381C2semidirect
11. #39372C2semidirect
12. #39365C2semidirect
13. #39355C2semidirect
14. #38433C2semidirect
15. #38432C2semidirect
16. #38425C2semidirect
17. #38424C2semidirect
18. #36631C2semidirect
19. #36266C2semidirect
20. #36218C2semidirect
21. #36143C2semidirect
22. #36139C2semidirect
23. #36123C2semidirect
24. #36096C2semidirect
25. #35606C2semidirect
26. #35538C2semidirect
27. #35302C2semidirect
28. #35169C2semidirect
29. #34309C2semidirect
30. C4×#532C2semidirect
31. C2×#2293C2semidirect
33. C2×#555C22semidirect
34. C2×#553C22semidirect
35. C2×#553C22semidirect
36. C2×#551C22semidirect
37. C2×#551C22semidirect
38. C2×#547C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×#544C22semidirect
44. C2×#542C22semidirect
45. C2×#542C22semidirect
46. C2×#540C22semidirect
47. C2×#540C22semidirect
48. C2×#535C22semidirect
51. C2×#529C22semidirect
52. C2×#529C22semidirect
54. C22×#121C22semidirect
55. C2×#520C22semidirect
56. C2×#518C22semidirect
57. C2×C4×#41C22semidirect
59. C22×#117C22semidirect
60. #2861C22semidirect
61. #2860C22semidirect
62. #2860C22semidirect
63. #2859C22semidirect
64. #2858C22semidirect
65. #2857C22semidirect
67. #2855C22semidirect
68. #2854C22semidirect
69. #2854C22semidirect
70. #2854C22semidirect
71. #2854C22semidirect
72. #2850C22semidirect
73. #2850C22semidirect
74. #2848C22semidirect
76. #2734C22semidirect
77. #2733C22semidirect
79. #2732C22semidirect
80. #2730C22semidirect
81. #2729C22semidirect
82. #2727C22semidirect
83. #2726C22semidirect
84. #2724C22semidirect
85. #2724C22semidirect
86. #2707C22semidirect
87. #2702C22semidirect
88. #2701C22semidirect
89. #2699C22semidirect
90. #2697C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
94. #2682C22semidirect
95. #2682C22semidirect
96. #2682C22semidirect
99. #2678C22semidirect
100. #2663C22semidirect
101. #2661C22semidirect
102. #2629C22semidirect
103. #2629C22semidirect
104. #2620C22semidirect
105. #2620C22semidirect
106. #2609C22semidirect
107. #2609C22semidirect
108. #2602C22semidirect
109. #2602C22semidirect
110. #2601C22semidirect
111. #2601C22semidirect
112. #2583C22semidirect
113. #2579C22semidirect
114. #2559C22semidirect
115. #2557C22semidirect
116. #2556C22semidirect
117. #2555C22semidirect
118. #2555C22semidirect
119. #2554C22semidirect
120. #2553C22semidirect
121. #2553C22semidirect
122. #2550C22semidirect
123. #2545C22semidirect
124. #2544C22semidirect
125. #2543C22semidirect
126. #2543C22semidirect
127. #2540C22semidirect
128. #2539C22semidirect
129. #2536C22semidirect
130. #2535C22semidirect
131. #2534C22semidirect
132. #2534C22semidirect
133. #2534C22semidirect
134. #2521C22semidirect
135. #2519C22semidirect
136. #2491C22semidirect
137. #2489C22semidirect
138. #2478C22semidirect
139. #2474C22semidirect
140. #2474C22semidirect
141. #2472C22semidirect
142. #2470C22semidirect
143. #2468C22semidirect
144. #2468C22semidirect
145. #2466C22semidirect
147. #2464C22semidirect
148. #2461C22semidirect
149. #2461C22semidirect
150. #2456C22semidirect
151. #2456C22semidirect
152. #2455C22semidirect
153. #2454C22semidirect
154. #2451C22semidirect
155. #2447C22semidirect
156. #2445C22semidirect
157. #2443C22semidirect
158. #2443C22semidirect
159. #2441C22semidirect
160. #2440C22semidirect
161. #2433C22semidirect
162. #2432C22semidirect
163. #2430C22semidirect
164. #2429C22semidirect
165. #2429C22semidirect
166. #2428C22semidirect
167. #2428C22semidirect
168. #2427C22semidirect
169. #2426C22semidirect
170. #2425C22semidirect
171. #2425C22semidirect
172. #2425C22semidirect
173. #2425C22semidirect
175. #2424C22semidirect
176. #2424C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2422C22semidirect
180. #2422C22semidirect
181. #2419C22semidirect
183. #2418C22semidirect
184. #2418C22semidirect
185. #2417C22semidirect
186. #2415C22semidirect
188. #2414C22semidirect
189. #2413C22semidirect
190. #2413C22semidirect
191. #2411C22semidirect
192. #2411C22semidirect
193. #2410C22semidirect
194. #2408C22semidirect
196. #2406C22semidirect
198. #2367C22semidirect
199. #2364C22semidirect
200. #2362C22semidirect
201. #2361C22semidirect
202. #2359C22semidirect
203. #2359C22semidirect
204. #2359C22semidirect
206. #2358C22semidirect
207. #2358C22semidirect
209. #2349C22semidirect
210. #2349C22semidirect
211. #2342C22semidirect
212. #2339C22semidirect
213. #2339C22semidirect
214. D4×C22⋊C4C22semidirect
215. D4×C22⋊C4C22semidirect
216. #2324C22semidirect
217. #2324C22semidirect
218. #2323C22semidirect
219. #2323C22semidirect
220. #2322C22semidirect
222. C4×C4⋊Q8C22semidirect
223. C4×C4⋊Q8C22semidirect
224. C4×C4⋊Q8C22semidirect
225. C4×#127C22semidirect
226. C4×#127C22semidirect
227. C4×#127C22semidirect
228. C4×#124C22semidirect
229. C4×#124C22semidirect
230. C4×#124C22semidirect
231. C4×#121C22semidirect
232. C4×#121C22semidirect
233. C4×#121C22semidirect
234. C4×#121C22semidirect
235. C4×#121C22semidirect
236. C4×#121C22semidirect
237. C4×#121C22semidirect
238. #2297C22semidirect
243. #2293C22semidirect
244. #2293C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
247. #2293C22semidirect
248. #2293C22semidirect
249. #2293C22semidirect
250. #2293C22semidirect
251. #2293C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
254. #2293C22semidirect
257. C2×#389C22semidirect
258. C2×#389C22semidirect
259. C2×#388C22semidirect
260. C2×#388C22semidirect
261. C2×#388C22semidirect
262. #2285C22semidirect
263. C42×D4C22semidirect
264. C42×D4C22semidirect
265. C2×C4×C4⋊C4C22semidirect
266. C2×C4×C22⋊C4C22semidirect
267. C2×C43C22semidirect
292. #532D4semidirect
834. C4⋊Q8C2×D4semidirect
837. #127C2×D4semidirect
852. #124C2×D4semidirect
939. C4×D4C2×D4semidirect
940. C4×D4C2×D4semidirect
941. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
#598372
#598362
#598342
#598252
#598142
#594072
#394252
#394162
#393812
#393722
#393652
#393552
#384332
#384322
#384252
#384242
#366312
#362662
#362182
#361432
#361392
#361232
#360962
#356062
#355382
#353022
#351692
#343092
C4×#5322
C2×#22932