Finite Group Databasebeta

← #7690109

Subgroups — #7690109

Order 512.

7446 conjugacy classes of subgroups.

The subgroup lattice has 1941 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59654C212yesmaximal, complemented
4#59654C211yesmaximal, characteristic, complemented
5#59163C214yesmaximal, complemented
6#59128C212yesmaximal, complemented
7#59127C211yesmaximal, characteristic, complemented
8#59113C212yesmaximal, complemented
9#59040C211yesmaximal, characteristic, complemented
10#59037C212yesmaximal, complemented
11#44996C212yesmaximal, complemented
12#44884C212yesmaximal, complemented
13#44847C214yesmaximal, complemented
14#44595C214yesmaximal, complemented
15#39950C212yesmaximal, complemented
16#39878C212yesmaximal, complemented
17#39340C211yesmaximal, characteristic, complemented
18#38951C211yesmaximal, characteristic, complemented
19#37806C214yesmaximal, complemented
20#37781C212yesmaximal, complemented
21#36508C211yesmaximal, characteristic, complemented
22#36505C211yesmaximal, characteristic, complemented
23#36504C211yesmaximal, characteristic, complemented
24#36434C212yesmaximal, complemented
25#36259C211yesmaximal, characteristic, complemented
26#36231C212yesmaximal, complemented
27#36141C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36089C212yesmaximal, complemented
30#36028C212yesmaximal, complemented
31#34715C211yesmaximal, characteristic, complemented
32#34691C212yesmaximal, complemented
33#34322C211yesmaximal, characteristic, complemented
34#34267C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36#3511—216no—
37#3482—216no—
38C2×#557C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic
42C2×#555C2212yes—
43C2×#554C2212yes—
44C2×#553C2214yes—
45C2×#552C2212yes—
46C2×#552C2214yes—
47C2×#550C2211yescharacteristic
48C2×D4×Q8C2211yescharacteristic
49C2×D4×Q8C2212yes—
50C2×#548C2212yes—
51C2×#548C2212yes—
52C2×#548C2212yes—
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#547C2211yescharacteristic
57C2×#547C2212yes—
58C2×#547C2212yes—
59C2×#542C2214yes—
60C2×#537C2212yes—
61C2×#537C2212yes—
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#533C2212yes—
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C22×C4⋊Q8C2211yescharacteristic
68C2×#529C2214yes—
69C2×#529C2212yes—
70C2×#520C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2212yes—
76#2862C2211yescharacteristic
77#2861C2212yes—
78#2857C2211yescharacteristic
79#2857C2211yescharacteristic
80#2854C2212yes—
81#2851C2212yes—
82#2850C2212yes—
83#2850C2214yes—
84#2726C2214yes—
85#2720C2214yes—
86#2711C2214yes—
87#2707C2214yes—
88#2706C2214yes—
89#2706C2214yes—
90#2704C2214yes—
91#2696C2214yes—
92#2694C2214yes—
93#2687C2214yes—
94#2681C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2681C2214yes—
98#2677C2214yes—
99#2675C2214yes—
100#2673C2214yes—
101#2672C2214yes—
102#2672C2214yes—
103#2671C2214yes—
104#2671C2214yes—
105#2662C2214yes—
106#2637C2214yes—
107#2620C2212yes—
108#2616C2212yes—
109#2610C2214yes—
110#2609C2214yes—
111#2603C2214yes—
112#2601C2214yes—
113#2565C2212yes—
114#2562C2212yes—
115#2559C2214yes—
116#2555C2214yes—
117#2551C2212yes—
118#2550C2212yes—
119#2547C2211yescharacteristic
120#2546C2211yescharacteristic
121#2545C2214yes—
122#2545C2212yes—
123#2542C2211yescharacteristic
124#2542C2211yescharacteristic
125#2540C2212yes—
126#2540C2212yes—
127#2538C2211yescharacteristic
128#2538C2212yes—
129#2537C2211yescharacteristic
130#2537C2212yes—
131#2536C2212yes—
132#2536C2212yes—
133#2536C2212yes—
134#2536C2214yes—
135#2521C2214yes—
136#2519C2214yes—
137#2519C2214yes—
138#2502C2212yes—
139#2492C2212yes—
140#2491C2212yes—
141#2491C2214yes—
142#2486C2212yes—
143#2479C2214yes—
144#2476C2214yes—
145#2476C2214yes—
146#2476C2212yes—
147#2475C2214yes—
148#2474C2212yes—
149#2473C2214yes—
150#2471C2214yes—
151#2468C2214yes—
152#2468C2214yes—
153#2467C2214yes—
154#2465C2214yes—
155#2464C2214yes—
156#2464C2214yes—
157#2462C2214yes—
158#2461C2214yes—
159#2461C2214yes—
160#2461C2214yes—
161#2461C2214yes—
162#2460C2214yes—
163#2459C2214yes—
164#2459C2212yes—
165#2457C2214yes—
166#2456C2212yes—
167#2456C2214yes—
168#2456C2214yes—
169#2452C2212yes—
170#2451C2212yes—
171#2451C2211yescharacteristic
172#2449C2214yes—
173#2449C2214yes—
174#2449C2214yes—
175#2446C2212yes—
176#2446C2212yes—
177#2445C2211yescharacteristic
178#2442C2212yes—
179#2440C2214yes—
180#2440C2212yes—
181#2440C2212yes—
182#2440C2212yes—
183#2439C2212yes—
184#2439C2211yescharacteristic
185#2438C2214yes—
186#2434C2212yes—
187#2432C2212yes—
188#2431C2212yes—
189#2431C2211yescharacteristic
190#2429C2212yes—
191#2429C2212yes—
192#2429C2212yes—
193#2429C2214yes—
194#2429C2212yes—
195#2429C2212yes—
196#2428C2214yes—
197#2428C2212yes—
198#2428C2212yes—
199#2426C2214yes—
200#2426C2211yescharacteristic
201#2426C2212yes—
202#2425C2214yes—
203#2423C2212yes—
204#2423C2212yes—
205#2420C2211yescharacteristic
206#2417C2212yes—
207#2417C2212yes—
208#2417C2212yes—
209#2417C2214yes—
210#2417C2212yes—
211#2417C2212yes—
212#2416C2212yes—
213#2416C2214yes—
214#2416C2212yes—
215#2415C2212yes—
216#2414C2211yescharacteristic
217#2413C2214yes—
218#2409C2212yes—
219#2409C2212yes—
220#2409C2212yes—
221#2407C2211yescharacteristic
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2399C2214yes—
229#2396C2214yes—
230#2392C2212yes—
231#2388C2212yes—
232#2373C2214yes—
233#2367C2212yes—
234#2367C2212yes—
235#2366C2212yes—
236#2366C2211yescharacteristic
237#2365C2211yescharacteristic
238#2364C2214yes—
239#2364C2214yes—
240#2363C2212yes—
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2211yescharacteristic
244#2363C2212yes—
245#2362C2212yes—
246#2362C2212yes—
247#2362C2212yes—
248#2361C2214yes—
249#2361C2212yes—
250#2361C2214yes—
251#2361C2212yes—
252#2360C2212yes—
253#2360C2212yes—
254#2360C2212yes—
255#2359C2214yes—
256#2355C2211yescharacteristic
257#2354C2212yes—
258#2354C2211yescharacteristic
259#2354C2212yes—
260#2352C2212yes—
261#2351C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264#2346C2212yes—
265#2341C2212yes—
266#2341C2211yescharacteristic
267#2341C2211yescharacteristic
268Q8×C22⋊C4C2212yes—
269#2339C2212yes—
270#2334C2214yes—
271#2324C2214yes—
272#2323C2212yes—
273#2323C2214yes—
274#2311C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#127C2212yes—
278C4×#127C2211yescharacteristic
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2214yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×#123C2212yes—
286C4×#121C2214yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292#2297C2212yes—
293#2295C2212yes—
294#2293C2211yescharacteristic
295C2×#389C2212yes—
296#2290C2214yes—
297#2274C2212yes—
298C42×Q8C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C42×D4C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2312yes—
309C23×Q8C2312yes—
310#557—28no—
311#556—28no—
312#556—216no—
313#556D4116yescomplemented
314#555—216no—
315#554—216no—
316#553—232no—
317#552—232no—
318#552—216no—
319#550—28no—
320D4×Q8—28no—
321D4×Q8—48no—
322#548—216no—
323#548—216no—
324#548—216no—
325#548—48no—
326#547—28no—
327#547—216no—
328#547—28no—
329#547—28no—
330#547—48no—
331#542—232no—
332#537—216no—
333#537—216no—
334#533—28no—
335#533—216no—
336#533—216no—
337#532—216no—
338#532—28no—
339C2×C4⋊Q8—28no—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2311yescharacteristic
353C2×#127C2311yescharacteristic
354#529—232no—
355#529—216no—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2314yes—
429C2×#121C2311yescharacteristic
430#520—216no—
431C4×#41—28no—
432C4×#41—28no—
433C4×#41—28no—
434C4×#41—216no—
435C2×C4×Q8—216no—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2314yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2314yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×#117C2314yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2314yes—
508C22×C4⋊C4C2314yes—
509C22×C42C2312yes—
510C22×C42C2314yes—
511C22×C42C2312yes—
512C22×C42C2312yes—
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515#400C2314yes—
516#400C2314yes—
517#399C2314yes—
518#399C2314yes—
519#399C2314yes—
520#399C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2312yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#397C2314yes—
537#397C2312yes—
538#397C2314yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2312yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2312yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#393C2314yes—
580#393C2312yes—
581#393C2314yes—
582#393C2314yes—
583#392C2312yes—
584#392C2314yes—
585#392C2312yes—
586#392C2312yes—
587#392C2312yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2314yes—
604#391C2314yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2311yescharacteristic
609#391C2312yes—
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2312yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#384C2312yes—
766#384C2311yescharacteristic
767#384C2312yes—
768#384C2311yescharacteristic
769#384C2312yes—
770#382C2311yescharacteristic
771#382C2314yes—
772#382C2312yes—
773#382C2312yes—
774#382C2312yes—
775#381C2314yes—
776#381C2312yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846#376C2314yes—
847C2×#95C2314yes—
848C43C2312yes—
849C43C2311yescharacteristic
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C22×Q8—28no—
872C22×Q8—28no—
873C22×Q8—28no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8—44no—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2414yes—
880C22×Q8C2412yes—
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2414yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930C4⋊Q8—28no—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—28no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—48no—
938C4⋊Q8C2×D418yes—
939#127—24no—
940#127—28no—
941#127—24no—
942#126—216no—
943#126—216no—
944#126—216no—
945#126C2×D4132yes—
946#125—216no—
947#125—28no—
948#125—216no—
949#125—216no—
950#125—28no—
951#124—24no—
952#124—216no—
953#124—28no—
954#124—216no—
955#124—28no—
956#124—216no—
957#124—44no—
958#124—48no—
959#124C2×D4116yes—
960#123—216no—
961#123—216no—
962#123—28no—
963#123—216no—
964#123—216no—
965#123—216no—
966#123—48no—
967#123—48no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—48no—
986C22⋊Q8—48no—
987C22⋊Q8—48no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8C2×D4116yes—
993#121—28no—
994#121—24no—
995#121—28no—
996#121—216no—
997#121—216no—
998#121—28no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—216no—
1003#121—24no—
1004#121—216no—
1005#121—216no—
1006#121—28no—
1007#121—216no—
1008#121—216no—
1009#121—216no—
1010#121—28no—
1011#121—48no—
1012#121—48no—
1013#121—42no—
1014#121—44no—
1015#121#4118yescomplemented
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—216no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—28no—
1025C4×Q8—216no—
1026C4×Q8—24no—
1027C4×Q8—216no—
1028C4×Q8—28no—
1029C4×Q8—42no—
1030C4×Q8—44no—
1031C4×Q8—44no—
1032C4×Q8C2×D4116yes—
1033C4×Q8C2×D418yes—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—216no—
1048C4×D4—216no—
1049C4×D4—216no—
1050C4×D4—216no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—24no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—42no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—48no—
1066C4×D4—48no—
1067C4×D4C2×D418yes—
1068#117—24no—
1069#117—28no—
1070#117—24no—
1071#117—28no—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—216no—
1077#117—216no—
1078#117—216no—
1079#117—44no—
1080#117C2×D4116yes—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—216no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—48no—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C42—28no—
1220C2×C42—28no—
1221C2×C42—216no—
1222C2×C42—24no—
1223C2×C42—24no—
1224C2×C42—28no—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2411yescharacteristic
1276#95C2412yes—
1277#95C2411yescharacteristic
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307C24C2511yescharacteristic
1308C24C2512yes—
1309C24C2512yes—
1310C24C2512yes—
1311C24C2512yes—
1312C24C2511yescharacteristic
1313#41—432no—
1314#41—432no—
1315#41—416no—
1316#41—416no—
1317#41—416no—
1318#41—816no—
1319#41—816no—
1320C2×Q8—22no—
1321C2×Q8—28no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—28no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—28no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—44no—
1338C2×Q8—42no—
1339C2×Q8—44no—
1340C2×Q8—44no—
1341C2×Q8—432no—
1342C2×Q8—816no—
1343C2×Q8C22×D414yes—
1344C2×Q8C22×D418yes—
1345C2×Q8H(5,𝔽2)14yes—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—41no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4C22×D414yes—
1407C2×D4C2×#4114yes—
1408C2×D4C2×#4118yes—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—28no—
1417C22×C4—28no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—22no—
1422C22×C4—28no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—28no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—28no—
1453C22×C4—28no—
1454C22×C4—28no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4C22×D418yes—
1474C22×C4C2×#4114yes—
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2514yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2514yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—28no—
1508C4⋊C4—28no—
1509C4⋊C4—28no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—28no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—41no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4C22×D414yes—
1561C4⋊C4C22×D418yes—
1562C4⋊C4C22×D418yes—
1563C4⋊C4C22×D4116yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D418yes—
1566C4⋊C4C2×#4114yes—
1567C4⋊C42−1+414yes—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—22no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—22no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—22no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—41no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—41no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4C22×D418yes—
1631C22⋊C4C22×D4116yes—
1632C22⋊C4C22×D4116yes—
1633C22⋊C4C2×#4118yes—
1634C42—24no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—24no—
1640C42—24no—
1641C42—24no—
1642C42—28no—
1643C42—24no—
1644C42—22no—
1645C42—24no—
1646C42—22no—
1647C42—24no—
1648C42—28no—
1649C42—28no—
1650C42—24no—
1651C42—22no—
1652C42—24no—
1653C42—22no—
1654C42—24no—
1655C42—22no—
1656C42—22no—
1657C42—24no—
1658C42—22no—
1659C42—42no—
1660C42—44no—
1661C42—41no—
1662C42—44no—
1663C42—44no—
1664C42—42no—
1665C42C22×D414yes—
1666C42C22×D418yes—
1667C42C22×D4116yes—
1668C23—22no—
1669C23—21no—
1670C23—22no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—22no—
1678C23—22no—
1679C23—21no—
1680C23—21no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—21no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—21no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23C23×D414yes—
1708C23C22×#4112yes—
1709C23C22×#4114yes—
1710C23C2611yescharacteristic
1711Q8—28no—
1712Q8—28no—
1713Q8—216no—
1714Q8—416no—
1715Q8—48no—
1716Q8—48no—
1717Q8—48no—
1718Q8—88no—
1719D4—28no—
1720D4—28no—
1721D4—48no—
1722D4—48no—
1723D4—48no—
1724D4—44no—
1725D4—48no—
1726D4—48no—
1727D4—48no—
1728D4—48no—
1729D4—48no—
1730D4—48no—
1731D4—416no—
1732D4—44no—
1733D4—44no—
1734D4—84no—
1735D4—88no—
1736D4—88no—
1737D4—84no—
1738D4—88no—
1739D4—84no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—216no—
1763C2×C4—28no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—21no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—48no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—416no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—48no—
1820C2×C4—416no—
1821C2×C4—48no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—48no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—48no—
1828C2×C4—88no—
1829C2×C4—88no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4C23×D414yes—
1833C2×C4C23×D414yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D418yes—
1837C2×C4C23×D412yes—
1838C2×C4C23×D412yes—
1839C2×C4C22×#4114yes—
1840C2×C4C22×#4112yes—
1841C2×C4C22×#4112yes—
1842C2×C4C2×H(5,𝔽2)14yes—
1843C2×C4C2×H(5,𝔽2)12yes—
1844C2×C4C2×2−1+412yes—
1845C2×C4C2×2−1+412yes—
1846C2×C4C2×2−1+412yes—
1847C2×C4#58512yes—
1848C2×C4#58512yes—
1849C22—22no—
1850C22—24no—
1851C22—24no—
1852C22—24no—
1853C22—24no—
1854C22—22no—
1855C22—22no—
1856C22—24no—
1857C22—24no—
1858C22—42no—
1859C22—42no—
1860C22—41no—
1861C22—41no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—41no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—41no—
1871C22—42no—
1872C22—42no—
1873C22—41no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—41no—
1879C22—41no—
1880C22—42no—
1881C22—42no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—41no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—41no—
1890C22—42no—
1891C22C24×D411yescharacteristic
1892C22C23×#4111yescharacteristic
1893C22C22×H(5,𝔽2)11yescharacteristic
1894C22C22×2−1+411yescharacteristic
1895C22C2×#58511yescharacteristic
1896C22C2×#58511yescharacteristic
1897C222−1+611yescharacteristic
1898C4—24no—
1899C4—22no—
1900C4—22no—
1901C4—24no—
1902C4—22no—
1903C4—24no—
1904C4—28no—
1905C4—22no—
1906C4—24no—
1907C4—22no—
1908C4—24no—
1909C4—44no—
1910C4—41no—
1911C4—42no—
1912C4—41no—
1913C4—42no—
1914C4—42no—
1915C4—41no—
1916C4—42no—
1917C4—42no—
1918C4—41no—
1919C4—44no—
1920C4—41no—
1921C4—42no—
1922C4—41no—
1923C4—42no—
1924C4—44no—
1925C4D4×#4114yes—
1926C4#348814yes—
1927C2—42no—
1928C2—44no—
1929C2—44no—
1930C2—81no—
1931C2—82no—
1932C2—82no—
1933C2C2×D4×#4111yescharacteristic
1934C2C2×#348811yescharacteristic
1935C2#6280511yescharacteristic
1936C2#6293911yescharacteristic
1937C2#6298411yescharacteristic
1938C2D4×2−1+411yescharacteristic
1939C2#6303911yescharacteristic
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×#3511C2semidirect
2. C2×#3482C2semidirect
3. #59654C2semidirect
4. #59654C2semidirect
5. #59163C2semidirect
6. #59128C2semidirect
7. #59127C2semidirect
8. #59113C2semidirect
9. #59040C2semidirect
10. #59037C2semidirect
11. #44996C2semidirect
12. #44884C2semidirect
13. #44847C2semidirect
14. #44595C2semidirect
15. #39950C2semidirect
16. #39878C2semidirect
17. #39340C2semidirect
18. #38951C2semidirect
19. #37806C2semidirect
20. #37781C2semidirect
21. #36508C2semidirect
22. #36505C2semidirect
23. #36504C2semidirect
24. #36434C2semidirect
25. #36259C2semidirect
26. #36231C2semidirect
27. #36141C2semidirect
28. #36129C2semidirect
29. #36089C2semidirect
30. #36028C2semidirect
31. #34715C2semidirect
32. #34691C2semidirect
33. #34322C2semidirect
34. #34267C2semidirect
35. C4×#550C2semidirect
313. #556D4semidirect
1015. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#34822
#596542
#591632
#591282
#591272
#591132
#590402
#590372
#449962
#448842
#448472
#445952
#399502
#398782
#393402
#389512
#378062
#377812
#365082
#365052
#365042
#364342
#362592
#362312
#361412
#361292
#360892
#360282
#347152
#346912
#343222
#342672
C4×#5502