Finite Group Databasebeta

← #7689424

Subgroups — #7689424

Order 512.

4830 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59565C212yesmaximal, complemented
2#59563C212yesmaximal, complemented
3#59509C212yesmaximal, complemented
4#59465C211yesmaximal, characteristic, complemented
5#59391C212yesmaximal, complemented
6#59270C214yesmaximal, complemented
7#59070C211yesmaximal, characteristic, complemented
8#59064C211yesmaximal, characteristic, complemented
9#45173C212yesmaximal, complemented
10#45003C212yesmaximal, complemented
11#43641C214yesmaximal, complemented
12#43517C214yesmaximal, complemented
13#39529C212yesmaximal, complemented
14#39480C211yesmaximal, characteristic, complemented
15#39035C212yesmaximal, complemented
16#38986C211yesmaximal, characteristic, complemented
17#38700C214yesmaximal, complemented
18#38248C212yesmaximal, complemented
19#36564C211yesmaximal, characteristic, complemented
20#36556C211yesmaximal, characteristic, complemented
21#36314C211yesmaximal, characteristic, complemented
22#36301C212yesmaximal, complemented
23#36288C211yesmaximal, characteristic, complemented
24#36239C212yesmaximal, complemented
25#36175C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic
27#35900C212yesmaximal, complemented
28#35802C212yesmaximal, complemented
29#34913C212yesmaximal, complemented
30#34793C211yesmaximal, characteristic, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2212yes—
41#2864C2212yes—
42#2864C2212yes—
43#2862C2211yescharacteristic
44#2862C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2851C2214yes—
49#2789C2214yes—
50#2786C2214yes—
51#2784C2214yes—
52#2782C2214yes—
53#2781C2214yes—
54#2778C2214yes—
55#2770C2214yes—
56#2762C2214yes—
57#2758C2214yes—
58#2757C2214yes—
59#2747C2214yes—
60#2745C2214yes—
61#2745C2214yes—
62#2744C2214yes—
63#2739C2214yes—
64#2737C2214yes—
65#2728C2214yes—
66#2717C2214yes—
67#2708C2214yes—
68#2696C2214yes—
69#2690C2214yes—
70#2653C2214yes—
71#2645C2212yes—
72#2630C2214yes—
73#2625C2212yes—
74#2612C2214yes—
75#2611C2214yes—
76#2602C2214yes—
77#2597C2214yes—
78#2588C2214yes—
79#2586C2214yes—
80#2578C2214yes—
81#2577C2214yes—
82#2576C2214yes—
83#2575C2214yes—
84#2574C2214yes—
85#2571C2211yescharacteristic
86#2571C2212yes—
87#2570C2212yes—
88#2570C2212yes—
89#2569C2214yes—
90#2569C2214yes—
91#2568C2211yescharacteristic
92#2567C2211yescharacteristic
93#2567C2211yescharacteristic
94#2564C2214yes—
95#2563C2212yes—
96#2563C2212yes—
97#2558C2214yes—
98#2551C2211yescharacteristic
99#2549C2214yes—
100#2547C2212yes—
101#2546C2211yescharacteristic
102#2535C2212yes—
103#2533C2214yes—
104#2530C2214yes—
105#2530C2214yes—
106#2530C2212yes—
107#2528C2212yes—
108#2527C2214yes—
109#2527C2214yes—
110#2527C2214yes—
111#2523C2214yes—
112#2523C2214yes—
113#2520C2214yes—
114#2517C2212yes—
115#2514C2212yes—
116#2514C2212yes—
117#2514C2212yes—
118#2514C2212yes—
119#2511C2212yes—
120#2511C2212yes—
121#2511C2211yescharacteristic
122#2510C2214yes—
123#2509C2212yes—
124#2508C2212yes—
125#2508C2212yes—
126#2507C2212yes—
127#2507C2212yes—
128#2506C2212yes—
129#2506C2212yes—
130#2506C2211yescharacteristic
131#2505C2214yes—
132#2505C2214yes—
133#2499C2212yes—
134#2499C2211yescharacteristic
135#2498C2214yes—
136#2495C2212yes—
137#2495C2214yes—
138#2495C2212yes—
139#2494C2212yes—
140#2494C2214yes—
141#2494C2214yes—
142#2494C2211yescharacteristic
143#2492C2212yes—
144#2489C2214yes—
145#2489C2211yescharacteristic
146#2488C2214yes—
147#2485C2211yescharacteristic
148#2485C2214yes—
149#2481C2214yes—
150#2479C2214yes—
151#2477C2214yes—
152#2477C2214yes—
153#2475C2214yes—
154#2475C2214yes—
155#2473C2214yes—
156#2473C2214yes—
157#2460C2212yes—
158#2454C2212yes—
159#2454C2212yes—
160#2453C2212yes—
161#2452C2212yes—
162#2452C2212yes—
163#2451C2212yes—
164#2447C2212yes—
165#2447C2212yes—
166#2447C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2447C2212yes—
170#2446C2212yes—
171#2441C2211yescharacteristic
172#2440C2212yes—
173#2439C2212yes—
174#2438C2214yes—
175#2432C2212yes—
176#2429C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2427C2212yes—
182#2422C2212yes—
183#2422C2212yes—
184#2421C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2419C2214yes—
189#2415C2211yescharacteristic
190#2407C2212yes—
191#2407C2212yes—
192#2406C2214yes—
193#2401C2214yes—
194#2401C2212yes—
195#2395C2214yes—
196#2395C2212yes—
197#2373C2212yes—
198#2372C2214yes—
199#2371C2212yes—
200#2370C2211yescharacteristic
201#2369C2211yescharacteristic
202#2369C2212yes—
203#2369C2211yescharacteristic
204#2369C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2366C2211yescharacteristic
210#2366C2211yescharacteristic
211#2366C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2363C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2363C2212yes—
219#2362C2212yes—
220#2362C2211yescharacteristic
221#2360C2211yescharacteristic
222#2359C2214yes—
223#2359C2212yes—
224#2356C2211yescharacteristic
225#2356C2212yes—
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2354C2212yes—
229#2354C2212yes—
230#2353C2214yes—
231#2352C2214yes—
232#2352C2211yescharacteristic
233#2352C2214yes—
234Q8×C4⋊C4C2211yescharacteristic
235#2349C2212yes—
236#2349C2212yes—
237#2349C2212yes—
238#2349C2212yes—
239#2349C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243#2346C2211yescharacteristic
244#2346C2212yes—
245#2345C2212yes—
246#2344C2211yescharacteristic
247#2344C2214yes—
248#2343C2212yes—
249#2343C2214yes—
250#2343C2214yes—
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2335C2214yes—
255#2326C2212yes—
256#2325C2214yes—
257#2320C2212yes—
258#2318C2214yes—
259#2314C2212yes—
260#2313C2214yes—
261#2311C2212yes—
262C4×#127C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2298C2212yes—
279#2297C2214yes—
280#2295C2211yescharacteristic
281#2295C2212yes—
282#2295C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2212yes—
286#2290C2214yes—
287C2×#387C2214yes—
288#2285C2211yescharacteristic
289#2283C2214yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—28no—
302#552—28no—
303#532—28no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#126C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336#520—216no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2314yes—
373C2×#117C2314yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2314yes—
381C22×C42C2312yes—
382#401C2314yes—
383#401C2312yes—
384#401C2314yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#392C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2314yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2314yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2312yes—
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2311yescharacteristic
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#382C2311yescharacteristic
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2314yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2311yescharacteristic
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—82no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852#127#4118yes—
853#126—28no—
854#125—28no—
855#125—24no—
856#125—24no—
857#125—44no—
858#125—84no—
859#124—28no—
860#124—28no—
861#124—28no—
862#124—28no—
863#123—216no—
864#123—28no—
865#123—84no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—42no—
870C22⋊Q8—44no—
871C22⋊Q8—84no—
872C22⋊Q8—84no—
873C22⋊Q8—82no—
874#121—28no—
875#121—28no—
876#121—28no—
877#121—28no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—216no—
892C4×D4—216no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—82no—
905#117—28no—
906#117—28no—
907#117—216no—
908#117—24no—
909#117—24no—
910#117—44no—
911#117—42no—
912#117—42no—
913#117—84no—
914#117—84no—
915C2×C4⋊C4—216no—
916C2×C4⋊C4—48no—
917C2×C4⋊C4—42no—
918C2×C4⋊C4#4118yescomplemented
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—48no—
1032C2×C42—44no—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2414yes—
1124#95C2411yescharacteristic
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2511yescharacteristic
1161C24C2514yes—
1162C24C2511yescharacteristic
1163#41—432no—
1164#41—816no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×D4—28no—
1181C2×D4—22no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4C2×#4118yes—
1196C2×D4C2×#4118yes—
1197C2×D4C2×#4118yes—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—28no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—28no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—41no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4C2×#4114yes—
1242C22×C4C2×#4118yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—41no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4C2×#4118yes—
1341C4⋊C4C2×#4114yes—
1342C4⋊C4C2×#4114yes—
1343C4⋊C42−1+414yes—
1344C22⋊C4—22no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—22no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—24no—
1392C42—28no—
1393C42—28no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—24no—
1410C42—44no—
1411C42—42no—
1412C42—42no—
1413C42—44no—
1414C42—42no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—42no—
1419C42—42no—
1420C42—44no—
1421C42—41no—
1422C42—41no—
1423C42—44no—
1424C42—42no—
1425C42C2×#4114yes—
1426C23—24no—
1427C23—21no—
1428C23—21no—
1429C23—24no—
1430C23—21no—
1431C23—24no—
1432C23—24no—
1433C23—21no—
1434C23—24no—
1435C23—21no—
1436C23—21no—
1437C23—24no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23C22×#4118yes—
1446C23C22×#4112yes—
1447C23C2611yescharacteristic
1448Q8—44no—
1449Q8—48no—
1450Q8—44no—
1451Q8—84no—
1452Q8—164no—
1453D4—216no—
1454D4—216no—
1455D4—48no—
1456D4—416no—
1457D4—44no—
1458D4—88no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—28no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—416no—
1547C2×C4—416no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—82no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—88no—
1555C2×C4—88no—
1556C2×C4—84no—
1557C2×C4—164no—
1558C2×C4C22×#4114yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4114yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C2×2−1+414yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4#58512yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C22—28no—
1571C22—22no—
1572C22—28no—
1573C22—22no—
1574C22—22no—
1575C22—28no—
1576C22—41no—
1577C22—44no—
1578C22—44no—
1579C22—41no—
1580C22—41no—
1581C22—44no—
1582C22—41no—
1583C22—44no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22C23×#4111yescharacteristic
1592C22C23×#4111yescharacteristic
1593C22C22×2−1+411yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22H(7,𝔽2)11yescharacteristic
1598C4—22no—
1599C4—22no—
1600C4—24no—
1601C4—24no—
1602C4—24no—
1603C4—22no—
1604C4—44no—
1605C4—41no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—42no—
1614C4—41no—
1615C4—41no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—41no—
1620C4—41no—
1621C4—44no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—44no—
1627C4—42no—
1628C4#347514yes—
1629C4#351514yes—
1630C2—48no—
1631C2—42no—
1632C2—81no—
1633C2C2×#347511yescharacteristic
1634C2C2×#351511yescharacteristic
1635C2#6278111yescharacteristic
1636C2#6296611yescharacteristic
1637C2#6299011yescharacteristic
1638C2#6299911yescharacteristic
1639C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36149C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59565C2semidirect
2. #59563C2semidirect
3. #59509C2semidirect
4. #59465C2semidirect
5. #59391C2semidirect
6. #59270C2semidirect
7. #59070C2semidirect
8. #59064C2semidirect
9. #45173C2semidirect
10. #45003C2semidirect
11. #43641C2semidirect
12. #43517C2semidirect
13. #39529C2semidirect
14. #39480C2semidirect
15. #39035C2semidirect
16. #38986C2semidirect
17. #38700C2semidirect
18. #38248C2semidirect
19. #36564C2semidirect
20. #36556C2semidirect
21. #36314C2semidirect
22. #36301C2semidirect
23. #36288C2semidirect
24. #36239C2semidirect
25. #36175C2semidirect
27. #35900C2semidirect
28. #35802C2semidirect
29. #34913C2semidirect
30. #34793C2semidirect
31. #34331C2semidirect
32. #34260C2semidirect
33. #34206C2semidirect
34. C4×#552C2semidirect
35. #34155C2semidirect
918. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#595652
#595632
#595092
#594652
#593912
#592702
#590702
#590642
#451732
#450032
#436412
#435172
#395292
#394802
#390352
#389862
#387002
#382482
#365642
#365562
#363142
#363012
#362882
#362392
#361752
#361492
#359002
#358022
#349132
#347932
#343312
#342602
#342062
C4×#5522
#341552