Finite Group Databasebeta

← #7683746

Subgroups — #7683746

Order 512.

5426 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59904C212yesmaximal, complemented
2#59874C212yesmaximal, complemented
3#59549C212yesmaximal, complemented
4#59473C214yesmaximal, complemented
5#59425C212yesmaximal, complemented
6#59346C214yesmaximal, complemented
7#59281C212yesmaximal, complemented
8#59280C212yesmaximal, complemented
9#59253C212yesmaximal, complemented
10#59239C212yesmaximal, complemented
11#45390C212yesmaximal, complemented
12#45368C212yesmaximal, complemented
13#45290C212yesmaximal, complemented
14#45150C212yesmaximal, complemented
15#45148C212yesmaximal, complemented
16#45129C212yesmaximal, complemented
17#45117C212yesmaximal, complemented
18#44988C212yesmaximal, complemented
19#43690C214yesmaximal, complemented
20#43623C214yesmaximal, complemented
21#35660C211yesmaximal, characteristic
22#35630C211yesmaximal, characteristic, complemented
23#35628C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35618C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28C2×#2514C211yesmaximal, characteristic, complemented
29#34744C211yesmaximal, characteristic, complemented
30#34267C211yesmaximal, characteristic, complemented
31#34259C211yesmaximal, characteristic, complemented
32#34259C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2798C2214yes—
47#2789C2214yes—
48#2778C2214yes—
49#2764C2214yes—
50#2762C2214yes—
51#2760C2214yes—
52#2759C2214yes—
53#2759C2214yes—
54#2758C2214yes—
55#2755C2214yes—
56#2750C2214yes—
57#2749C2214yes—
58#2749C2214yes—
59#2746C2214yes—
60#2746C2214yes—
61#2746C2214yes—
62#2745C2214yes—
63#2744C2214yes—
64#2743C2214yes—
65#2740C2214yes—
66#2738C2214yes—
67#2738C2214yes—
68#2737C2214yes—
69#2728C2214yes—
70#2612C2214yes—
71#2605C2214yes—
72#2605C2214yes—
73#2598C2214yes—
74#2592C2212yes—
75#2592C2212yes—
76#2589C2214yes—
77#2588C2214yes—
78#2582C2212yes—
79#2581C2212yes—
80#2580C2212yes—
81#2578C2214yes—
82#2576C2214yes—
83#2576C2214yes—
84#2576C2214yes—
85#2573C2214yes—
86#2573C2214yes—
87#2572C2214yes—
88#2572C2214yes—
89#2568C2212yes—
90#2568C2212yes—
91#2568C2211yescharacteristic
92#2567C2211yescharacteristic
93#2566C2211yescharacteristic
94#2566C2211yescharacteristic
95#2565C2211yescharacteristic
96#2565C2211yescharacteristic
97#2564C2212yes—
98#2564C2212yes—
99#2564C2214yes—
100#2563C2211yescharacteristic
101#2542C2211yescharacteristic
102#2538C2212yes—
103#2532C2214yes—
104#2527C2214yes—
105#2527C2214yes—
106#2526C2214yes—
107#2526C2214yes—
108#2523C2214yes—
109#2515C2214yes—
110#2514C2212yes—
111#2514C2212yes—
112#2514C2212yes—
113#2514C2212yes—
114#2514C2212yes—
115#2514C2212yes—
116#2514C2212yes—
117#2514C2212yes—
118#2514C2212yes—
119#2514C2212yes—
120#2514C2212yes—
121#2514C2212yes—
122#2511C2212yes—
123#2511C2212yes—
124#2511C2212yes—
125#2511C2212yes—
126#2510C2214yes—
127#2510C2214yes—
128#2510C2214yes—
129#2505C2214yes—
130#2504C2212yes—
131#2503C2212yes—
132#2503C2212yes—
133#2502C2212yes—
134#2500C2212yes—
135#2499C2212yes—
136#2499C2212yes—
137#2499C2212yes—
138#2493C2214yes—
139#2493C2214yes—
140#2493C2214yes—
141#2493C2214yes—
142#2493C2214yes—
143#2493C2214yes—
144#2492C2212yes—
145#2492C2212yes—
146#2489C2212yes—
147#2489C2212yes—
148#2488C2214yes—
149#2488C2214yes—
150#2488C2214yes—
151#2471C2214yes—
152#2463C2214yes—
153#2457C2214yes—
154#2450C2214yes—
155#2449C2214yes—
156#2448C2211yescharacteristic
157#2448C2211yescharacteristic
158#2447C2211yescharacteristic
159#2447C2212yes—
160#2447C2212yes—
161#2447C2211yescharacteristic
162#2446C2212yes—
163#2446C2211yescharacteristic
164#2446C2212yes—
165#2446C2211yescharacteristic
166#2445C2211yescharacteristic
167#2445C2211yescharacteristic
168#2444C2214yes—
169#2444C2214yes—
170#2444C2212yes—
171#2444C2212yes—
172#2443C2212yes—
173#2443C2212yes—
174#2442C2212yes—
175#2441C2212yes—
176#2440C2212yes—
177#2439C2212yes—
178#2438C2214yes—
179#2436C2212yes—
180#2434C2212yes—
181#2432C2212yes—
182#2431C2212yes—
183#2430C2214yes—
184#2430C2214yes—
185#2421C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2419C2214yes—
190#2419C2214yes—
191#2419C2214yes—
192#2417C2212yes—
193#2417C2212yes—
194#2409C2212yes—
195#2409C2212yes—
196#2407C2212yes—
197#2407C2212yes—
198C2×#401C2212yes—
199#2396C2212yes—
200#2396C2212yes—
201#2395C2212yes—
202#2395C2212yes—
203C2×#400C2212yes—
204#2368C2214yes—
205#2367C2212yes—
206#2367C2212yes—
207#2366C2212yes—
208#2365C2212yes—
209#2364C2214yes—
210#2363C2212yes—
211#2362C2212yes—
212#2361C2214yes—
213#2361C2212yes—
214#2360C2212yes—
215#2357C2212yes—
216#2357C2212yes—
217#2357C2212yes—
218#2356C2212yes—
219#2356C2212yes—
220#2356C2212yes—
221#2355C2212yes—
222#2354C2212yes—
223#2354C2212yes—
224#2353C2214yes—
225#2353C2214yes—
226#2353C2214yes—
227#2353C2214yes—
228#2352C2212yes—
229#2352C2212yes—
230D4×C4⋊C4C2212yes—
231#2347C2212yes—
232#2346C2212yes—
233#2345C2212yes—
234#2344C2212yes—
235#2343C2214yes—
236Q8×C22⋊C4C2212yes—
237Q8×C22⋊C4C2212yes—
238Q8×C22⋊C4C2212yes—
239Q8×C22⋊C4C2212yes—
240#2339C2212yes—
241#2339C2212yes—
242#2339C2214yes—
243#2339C2214yes—
244#2339C2212yes—
245#2339C2214yes—
246#2339C2212yes—
247#2339C2214yes—
248#2325C2214yes—
249#2324C2212yes—
250#2323C2212yes—
251#2318C2214yes—
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2314C2212yes—
255#2314C2212yes—
256#2311C2211yescharacteristic
257#2311C2212yes—
258#2311C2212yes—
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2310C2211yescharacteristic
263#2310C2211yescharacteristic
264#2310C2212yes—
265#2310C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×#123C2212yes—
270C4×#123C2212yes—
271C4×#121C2214yes—
272C4×#121C2212yes—
273#2297C2212yes—
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2297C2212yes—
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281C2×#391C2212yes—
282C2×#391C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#391C2212yes—
286C2×#389C2211yescharacteristic
287#2290C2214yes—
288C2×#387C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2283C2212yes—
293C2×#383C2212yes—
294C2×#382C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—28no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2314yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311#537—28no—
312#536—44no—
313#533—44no—
314#532—28no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342#520—28no—
343#520—44no—
344#520—44no—
345C4×#41—28no—
346C4×#41—44no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2312yes—
400#401C2314yes—
401#401C2314yes—
402#401C2314yes—
403#401C2314yes—
404#401C2314yes—
405#401C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#399C2312yes—
430#399C2312yes—
431#399C2312yes—
432#399C2314yes—
433#399C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#396C2312yes—
461#396C2312yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#395C2312yes—
467#395C2312yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#393C2312yes—
480#393C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#392C2314yes—
487#392C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#391C2311yescharacteristic
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
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#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806C2×#95C2311yescharacteristic
807C2×#95C2311yescharacteristic
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
8222−1+4—464no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—216no—
826C2×#41—216no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—28no—
832C2×#41—28no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—48no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41#4118yes—
840C2×#41#4118yes—
841C22×Q8—28no—
842C22×Q8—28no—
843C22×Q8—28no—
844C22×Q8—28no—
845C22×Q8—24no—
846C22×Q8—24no—
847C22×Q8—24no—
848C22×Q8—44no—
849C22×Q8—44no—
850C22×Q8C2411yescharacteristic
851C22×Q8C2412yes—
852C22×Q8C2412yes—
853C22×Q8C2414yes—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2411yescharacteristic
866C22×D4C2414yes—
867C22×D4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C4⋊Q8—24no—
892C4⋊Q8—42no—
893C4⋊Q8—42no—
894C4⋊Q8—44no—
895#127—24no—
896#125—42no—
897#125—42no—
898#124—24no—
899#124—24no—
900#124—44no—
901#123—44no—
902#123—48no—
903#123—44no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—48no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913#121—28no—
914#121—28no—
915#121—28no—
916#121—216no—
917#121—28no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—28no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—42no—
924C4×Q8—42no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—216no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—48no—
936C4×D4—42no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—48no—
945#117—28no—
946#117—24no—
947#117—28no—
948#117—24no—
949#117—24no—
950#117—24no—
951#117—24no—
952#117—44no—
953#117—48no—
954#117—44no—
955#117—44no—
956C2×C4⋊C4—28no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—28no—
1074C2×C42—24no—
1075C2×C42—24no—
1076C2×C42—24no—
1077C2×C42—44no—
1078C2×C42—44no—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197#41—232no—
1198#41—232no—
1199#41—432no—
1200#41—432no—
1201#41—464no—
1202#41—416no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—28no—
1208C2×Q8—28no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—432no—
1226C2×Q8—432no—
1227C2×Q8—416no—
1228C2×Q8C2×#4114yes—
1229C2×Q8C2×#4114yes—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4C2×#4118yes—
1257C2×D4C2×#4118yes—
1258C2×D4C2×#4114yes—
1259C2×D4C2×#4114yes—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4C2×#4118yes—
1325C22×C4C2×#4118yes—
1326C22×C4C2×#4114yes—
1327C22×C4C2×#4114yes—
1328C22×C4H(5,𝔽2)14yes—
1329C22×C4C2514yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2514yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—28no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—28no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—44no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—28no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—28no—
1489C42—44no—
1490C42—42no—
1491C42—42no—
1492C42—44no—
1493C42—44no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23C22×#4114yes—
1522C23C22×#4114yes—
1523C23C22×#4112yes—
1524C23C22×#4112yes—
1525C23C2×H(5,𝔽2)12yes—
1526C23C2611yescharacteristic
1527Q8—28no—
1528Q8—28no—
1529Q8—416no—
1530Q8—48no—
1531Q8—48no—
1532Q8—44no—
1533Q8—84no—
1534Q8—84no—
1535D4—216no—
1536D4—216no—
1537D4—28no—
1538D4—28no—
1539D4—48no—
1540D4—416no—
1541D4—48no—
1542D4—44no—
1543D4—88no—
1544D4—84no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—216no—
1554C2×C4—216no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—416no—
1633C2×C4—416no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—84no—
1637C2×C4—82no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—82no—
1643C2×C4—84no—
1644C2×C4—82no—
1645C2×C4—84no—
1646C2×C4—82no—
1647C2×C4—84no—
1648C2×C4—164no—
1649C2×C4—164no—
1650C2×C4#551116yes—
1651C2×C4C22×#4114yes—
1652C2×C4C22×#4114yes—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4#58512yes—
1660C2×C4#58512yes—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—24no—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22C2×#55114yes—
1689C22C23×#4111yescharacteristic
1690C22C23×#4111yescharacteristic
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C222−1+611yescharacteristic
1695C222−1+611yescharacteristic
1696C4—22no—
1697C4—22no—
1698C4—24no—
1699C4—24no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—44no—
1706C4—42no—
1707C4—44no—
1708C4—41no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—44no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—44no—
1724C4—42no—
1725C4C2×#55114yes—
1726C4C2×#55114yes—
1727C2—24no—
1728C2—44no—
1729C2—44no—
1730C2—82no—
1731C2C22×#55111yescharacteristic
1732C2#6283011yescharacteristic
1733C2#6288811yescharacteristic
1734C2#6299311yescharacteristic
1735C2#6299511yescharacteristic
1736C2#6299511yescharacteristic
1737C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35660C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59904C2semidirect
2. #59874C2semidirect
3. #59549C2semidirect
4. #59473C2semidirect
5. #59425C2semidirect
6. #59346C2semidirect
7. #59281C2semidirect
8. #59280C2semidirect
9. #59253C2semidirect
10. #59239C2semidirect
11. #45390C2semidirect
12. #45368C2semidirect
13. #45290C2semidirect
14. #45150C2semidirect
15. #45148C2semidirect
16. #45129C2semidirect
17. #45117C2semidirect
18. #44988C2semidirect
19. #43690C2semidirect
20. #43623C2semidirect
22. #35630C2semidirect
23. #35628C2semidirect
24. #35619C2semidirect
25. #35618C2semidirect
26. #35519C2semidirect
27. #34947C2semidirect
28. C2×#2514C2semidirect
29. #34744C2semidirect
30. #34267C2semidirect
31. #34259C2semidirect
32. #34259C2semidirect
33. #34252C2semidirect
34. #34206C2semidirect
35. #34189C2semidirect

Maximal subgroups

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

subgroupindex
#599042
#598742
#595492
#594732
#594252
#593462
#592812
#592802
#592532
#592392
#453902
#453682
#452902
#451502
#451482
#451292
#451172
#449882
#436902
#436232
#356602
#356302
#356282
#356192
#356182
#355192
#349472
C2×#25142
#347442
#342672
#342592
#342522
#342062
#341892