Finite Group Databasebeta

← #7681129

Subgroups — #7681129

Order 512.

5496 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59904C212yesmaximal, complemented
2#59867C212yesmaximal, complemented
3#59638C212yesmaximal, complemented
4#59549C212yesmaximal, complemented
5#59473C214yesmaximal, complemented
6#59469C214yesmaximal, complemented
7#45390C212yesmaximal, complemented
8#45366C212yesmaximal, complemented
9#45148C212yesmaximal, complemented
10#44995C212yesmaximal, complemented
11#43690C214yesmaximal, complemented
12#43647C214yesmaximal, complemented
13#39047C212yesmaximal, complemented
14#39040C212yesmaximal, complemented
15#38204C212yesmaximal, complemented
16#38203C212yesmaximal, complemented
17#38116C212yesmaximal, complemented
18#38111C212yesmaximal, complemented
19#36368C212yesmaximal, complemented
20#36277C212yesmaximal, complemented
21#35660C211yesmaximal, characteristic
22#35628C211yesmaximal, characteristic, complemented
23#35530C211yesmaximal, characteristic, complemented
24#35517C211yesmaximal, characteristic, complemented
25#35313C211yesmaximal, characteristic, complemented
26#35307C211yesmaximal, characteristic, complemented
27#35280C211yesmaximal, characteristic, complemented
28C2×#2511C211yesmaximal, characteristic, complemented
29#34745C211yesmaximal, characteristic, complemented
30#34259C211yesmaximal, characteristic, complemented
31#34259C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic, complemented
34#34141C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2863C2212yes—
47#2863C2212yes—
48#2857C2212yes—
49#2857C2212yes—
50#2855C2212yes—
51#2855C2212yes—
52#2799C2214yes—
53#2798C2214yes—
54#2778C2214yes—
55#2764C2214yes—
56#2762C2214yes—
57#2759C2214yes—
58#2755C2214yes—
59#2755C2214yes—
60#2754C2214yes—
61#2750C2214yes—
62#2750C2214yes—
63#2749C2214yes—
64#2746C2214yes—
65#2744C2214yes—
66#2744C2214yes—
67#2743C2214yes—
68#2743C2214yes—
69#2740C2214yes—
70#2740C2214yes—
71#2739C2214yes—
72#2738C2214yes—
73#2728C2214yes—
74#2696C2214yes—
75#2693C2214yes—
76#2645C2212yes—
77#2645C2212yes—
78#2629C2212yes—
79#2629C2212yes—
80#2625C2212yes—
81#2625C2212yes—
82#2612C2214yes—
83#2609C2214yes—
84#2607C2214yes—
85#2605C2214yes—
86#2592C2212yes—
87#2592C2212yes—
88#2589C2214yes—
89#2589C2214yes—
90#2588C2214yes—
91#2582C2212yes—
92#2582C2212yes—
93#2578C2214yes—
94#2576C2214yes—
95#2576C2214yes—
96#2573C2214yes—
97#2573C2214yes—
98#2572C2214yes—
99#2569C2214yes—
100#2569C2214yes—
101#2568C2212yes—
102#2568C2212yes—
103#2564C2214yes—
104#2538C2212yes—
105#2538C2212yes—
106#2532C2214yes—
107#2527C2214yes—
108#2526C2214yes—
109#2526C2214yes—
110#2520C2214yes—
111#2515C2214yes—
112#2514C2212yes—
113#2514C2212yes—
114#2511C2212yes—
115#2511C2212yes—
116#2511C2212yes—
117#2511C2212yes—
118#2511C2212yes—
119#2511C2212yes—
120#2511C2212yes—
121#2511C2212yes—
122#2511C2212yes—
123#2511C2212yes—
124#2505C2214yes—
125#2505C2214yes—
126#2502C2212yes—
127#2501C2212yes—
128#2500C2212yes—
129#2499C2212yes—
130#2498C2214yes—
131#2498C2214yes—
132#2493C2214yes—
133#2493C2214yes—
134#2493C2214yes—
135#2492C2212yes—
136#2492C2212yes—
137#2489C2212yes—
138#2489C2212yes—
139#2488C2214yes—
140#2488C2214yes—
141#2488C2214yes—
142#2488C2214yes—
143#2487C2212yes—
144#2486C2212yes—
145#2485C2212yes—
146#2485C2212yes—
147#2477C2214yes—
148#2471C2214yes—
149#2463C2214yes—
150#2457C2214yes—
151#2457C2214yes—
152#2454C2211yescharacteristic
153#2454C2211yescharacteristic
154#2453C2211yescharacteristic
155#2453C2211yescharacteristic
156#2452C2211yescharacteristic
157#2452C2211yescharacteristic
158#2451C2211yescharacteristic
159#2451C2211yescharacteristic
160#2450C2212yes—
161#2450C2212yes—
162#2449C2212yes—
163#2449C2212yes—
164#2448C2212yes—
165#2447C2212yes—
166#2447C2212yes—
167#2447C2212yes—
168#2446C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2445C2212yes—
172#2444C2214yes—
173#2443C2214yes—
174#2443C2214yes—
175#2443C2214yes—
176#2438C2214yes—
177#2436C2212yes—
178#2434C2212yes—
179#2432C2212yes—
180#2431C2212yes—
181#2430C2214yes—
182#2430C2214yes—
183#2423C2212yes—
184#2423C2212yes—
185#2422C2212yes—
186#2422C2212yes—
187#2419C2214yes—
188#2419C2214yes—
189#2419C2214yes—
190#2417C2214yes—
191#2417C2214yes—
192#2409C2212yes—
193#2409C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2396C2212yes—
197#2396C2212yes—
198C2×#400C2212yes—
199C2×#400C2212yes—
200#2368C2214yes—
201#2368C2214yes—
202#2367C2211yescharacteristic
203#2367C2211yescharacteristic
204#2367C2211yescharacteristic
205#2367C2211yescharacteristic
206#2366C2211yescharacteristic
207#2366C2211yescharacteristic
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2364C2212yes—
211#2364C2212yes—
212#2361C2212yes—
213#2361C2212yes—
214#2359C2214yes—
215#2357C2212yes—
216#2356C2212yes—
217#2355C2212yes—
218#2354C2212yes—
219#2353C2214yes—
220#2353C2214yes—
221#2352C2214yes—
222#2347C2212yes—
223#2347C2212yes—
224#2346C2212yes—
225#2346C2212yes—
226#2345C2212yes—
227#2345C2212yes—
228#2344C2212yes—
229#2344C2212yes—
230Q8×C22⋊C4C2212yes—
231Q8×C22⋊C4C2212yes—
232Q8×C22⋊C4C2212yes—
233Q8×C22⋊C4C2212yes—
234#2339C2212yes—
235#2339C2212yes—
236#2339C2212yes—
237#2339C2212yes—
238#2339C2214yes—
239#2339C2214yes—
240#2339C2214yes—
241#2339C2214yes—
242#2325C2214yes—
243#2324C2212yes—
244#2324C2212yes—
245#2323C2212yes—
246#2323C2212yes—
247#2320C2212yes—
248#2319C2212yes—
249#2318C2214yes—
250#2317C2211yescharacteristic
251#2316C2211yescharacteristic
252#2316C2211yescharacteristic
253#2311C2211yescharacteristic
254#2311C2211yescharacteristic
255#2311C2212yes—
256#2311C2212yes—
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2310C2211yescharacteristic
261#2310C2212yes—
262#2310C2212yes—
263#2310C2211yescharacteristic
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×#121C2212yes—
269C4×#121C2214yes—
270C4×#121C2212yes—
271#2297C2212yes—
272#2297C2212yes—
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2295C2212yes—
280C2×#391C2211yescharacteristic
281C2×#391C2211yescharacteristic
282C2×#391C2212yes—
283C2×#391C2211yescharacteristic
284C2×#391C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287C2×#389C2211yescharacteristic
288#2290C2214yes—
289#2290C2212yes—
290#2290C2212yes—
291C2×#387C2212yes—
292C2×#387C2212yes—
293C2×#384C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
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⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
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×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344#520—28no—
345#520—28no—
346C4×#41—44no—
347C4×#41—44no—
348C4×#41—44no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2314yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2312yes—
407C22×C42C2312yes—
408C22×C42C2312yes—
409#401C2314yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#395C2312yes—
472#395C2314yes—
473#395C2312yes—
474#395C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#392C2314yes—
488#392C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2314yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
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#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#383C2314yes—
711#383C2314yes—
712#383C2314yes—
713#383C2314yes—
714#382C2314yes—
715#382C2314yes—
716#382C2312yes—
717#382C2314yes—
718#382C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
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×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C4⋊Q8—24no—
893C4⋊Q8—42no—
894C4⋊Q8—42no—
895C4⋊Q8—44no—
896#127—24no—
897#125—42no—
898#125—42no—
899#124—24no—
900#124—24no—
901#124—44no—
902#123—48no—
903#123—48no—
904#123—84no—
905#123—84no—
906C22⋊Q8—28no—
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—48no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—84no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—216no—
920#121—28no—
921C4×Q8—28no—
922C4×Q8—28no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—42no—
931C4×D4—216no—
932C4×D4—28no—
933C4×D4—216no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—42no—
939C4×D4—42no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—84no—
952#117—28no—
953#117—28no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—24no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—84no—
963#117—84no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—28no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—82no—
973C2×C4⋊C4—82no—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—44no—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42—82no—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2414yes—
1146#95C2414yes—
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#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24C2512yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206#41—232no—
1207#41—232no—
1208#41—432no—
1209#41—432no—
1210#41—464no—
1211#41—416no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—28no—
1217C2×Q8—28no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—44no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—432no—
1235C2×Q8—432no—
1236C2×Q8—416no—
1237C2×Q8C2×#4114yes—
1238C2×Q8C2×#4114yes—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4C2×#4118yes—
1266C2×D4C2×#4118yes—
1267C2×D4C2×#4114yes—
1268C2×D4C2×#4114yes—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—41no—
1336C22×C4C2×#4118yes—
1337C22×C4C2×#4118yes—
1338C22×C4C2×#4114yes—
1339C22×C4C2×#4114yes—
1340C22×C4H(5,𝔽2)14yes—
1341C22×C4C2514yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2514yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—28no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C42−1+414yescomplemented
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—28no—
1487C42—28no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—42no—
1512C42—44no—
1513C42—42no—
1514C42—42no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23C22×#4114yes—
1539C23C22×#4114yes—
1540C23C22×#4112yes—
1541C23C22×#4112yes—
1542C23C2×H(5,𝔽2)12yes—
1543C23C2611yescharacteristic
1544Q8—28no—
1545Q8—28no—
1546Q8—416no—
1547Q8—48no—
1548Q8—48no—
1549Q8—44no—
1550Q8—84no—
1551Q8—84no—
1552D4—216no—
1553D4—216no—
1554D4—28no—
1555D4—28no—
1556D4—48no—
1557D4—416no—
1558D4—48no—
1559D4—44no—
1560D4—88no—
1561D4—84no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—216no—
1575C2×C4—216no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—416no—
1650C2×C4—416no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—84no—
1660C2×C4—82no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—82no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4#551116yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4114yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C22×#4112yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×2−1+412yes—
1676C2×C4C2×2−1+412yes—
1677C2×C4C2×2−1+412yes—
1678C2×C4#58512yes—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—24no—
1686C22—24no—
1687C22—24no—
1688C22—24no—
1689C22—24no—
1690C22—24no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22C2×#55114yes—
1707C22C23×#4111yescharacteristic
1708C22C23×#4111yescharacteristic
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C22×2−1+411yescharacteristic
1711C22C2×#58511yescharacteristic
1712C22H(7,𝔽2)11yescharacteristic
1713C222−1+611yescharacteristic
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—24no—
1719C4—24no—
1720C4—42no—
1721C4—42no—
1722C4—44no—
1723C4—44no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—44no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—44no—
1742C4—42no—
1743C4C2×#55114yes—
1744C4C2×#55114yes—
1745C2—24no—
1746C2—44no—
1747C2—44no—
1748C2—82no—
1749C2C22×#55111yescharacteristic
1750C2#6280511yescharacteristic
1751C2#6285711yescharacteristic
1752C2#6292711yescharacteristic
1753C2#6294411yescharacteristic
1754C2#6300111yescharacteristic
1755C2#6301011yescharacteristic
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. #59867C2semidirect
3. #59638C2semidirect
4. #59549C2semidirect
5. #59473C2semidirect
6. #59469C2semidirect
7. #45390C2semidirect
8. #45366C2semidirect
9. #45148C2semidirect
10. #44995C2semidirect
11. #43690C2semidirect
12. #43647C2semidirect
13. #39047C2semidirect
14. #39040C2semidirect
15. #38204C2semidirect
16. #38203C2semidirect
17. #38116C2semidirect
18. #38111C2semidirect
19. #36368C2semidirect
20. #36277C2semidirect
22. #35628C2semidirect
23. #35530C2semidirect
24. #35517C2semidirect
25. #35313C2semidirect
26. #35307C2semidirect
27. #35280C2semidirect
28. C2×#2511C2semidirect
29. #34745C2semidirect
30. #34259C2semidirect
31. #34259C2semidirect
32. #34253C2semidirect
33. #34252C2semidirect
34. #34141C2semidirect
35. C4×#537C2semidirect
1434. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#599042
#598672
#596382
#595492
#594732
#594692
#453902
#453662
#451482
#449952
#436902
#436472
#390472
#390402
#382042
#382032
#381162
#381112
#363682
#362772
#356602
#356282
#355302
#355172
#353132
#353072
#352802
C2×#25112
#347452
#342592
#342532
#342522
#341412
C4×#5372