Finite Group Databasebeta

← #7689585

Subgroups — #7689585

Order 512.

4760 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59965C214yesmaximal, complemented
2#59716C212yesmaximal, complemented
3#59435C211yesmaximal, characteristic, complemented
4#59257C212yesmaximal, complemented
5#59231C212yesmaximal, complemented
6#59229C211yesmaximal, characteristic, complemented
7#59225C212yesmaximal, complemented
8#59219C211yesmaximal, characteristic, complemented
9#45166C212yesmaximal, complemented
10#44906C212yesmaximal, complemented
11#43820C214yesmaximal, complemented
12#43815C214yesmaximal, complemented
13#40221C212yesmaximal, complemented
14#40218C212yesmaximal, complemented
15#39598C211yesmaximal, characteristic, complemented
16#39182C211yesmaximal, characteristic, complemented
17#38789C214yesmaximal, complemented
18#37936C212yesmaximal, complemented
19#36492C211yesmaximal, characteristic, complemented
20#36480C211yesmaximal, characteristic, complemented
21#36408C212yesmaximal, complemented
22#36292C212yesmaximal, complemented
23#36284C212yesmaximal, complemented
24#36210C211yesmaximal, characteristic, complemented
25#36176C211yesmaximal, characteristic, complemented
26#36174C211yesmaximal, characteristic, complemented
27#36044C212yesmaximal, complemented
28#36017C212yesmaximal, complemented
29#34945C212yesmaximal, complemented
30#34720C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34306C212yesmaximal, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2211yescharacteristic
38C2×#553C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2864C2214yes—
42#2863C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2854C2212yes—
47#2851C2212yes—
48#2850C2212yes—
49#2808C2214yes—
50#2805C2214yes—
51#2800C2214yes—
52#2775C2214yes—
53#2775C2214yes—
54#2770C2214yes—
55#2769C2214yes—
56#2765C2214yes—
57#2759C2214yes—
58#2755C2214yes—
59#2750C2214yes—
60#2750C2214yes—
61#2744C2214yes—
62#2715C2214yes—
63#2710C2214yes—
64#2704C2214yes—
65#2695C2214yes—
66#2686C2214yes—
67#2686C2214yes—
68#2683C2214yes—
69#2682C2214yes—
70#2648C2214yes—
71#2648C2214yes—
72#2647C2212yes—
73#2629C2212yes—
74#2612C2214yes—
75#2612C2214yes—
76#2605C2214yes—
77#2604C2214yes—
78#2594C2214yes—
79#2594C2214yes—
80#2593C2214yes—
81#2589C2214yes—
82#2587C2214yes—
83#2585C2214yes—
84#2584C2212yes—
85#2573C2214yes—
86#2573C2214yes—
87#2573C2214yes—
88#2571C2211yescharacteristic
89#2571C2212yes—
90#2571C2212yes—
91#2568C2212yes—
92#2567C2211yescharacteristic
93#2563C2211yescharacteristic
94#2562C2212yes—
95#2562C2212yes—
96#2560C2214yes—
97#2554C2214yes—
98#2551C2211yescharacteristic
99#2550C2212yes—
100#2550C2212yes—
101#2547C2212yes—
102#2538C2212yes—
103#2538C2211yescharacteristic
104#2538C2212yes—
105#2537C2211yescharacteristic
106#2536C2212yes—
107#2535C2212yes—
108#2533C2214yes—
109#2532C2214yes—
110#2532C2214yes—
111#2531C2214yes—
112#2529C2214yes—
113#2526C2214yes—
114#2524C2214yes—
115#2522C2214yes—
116#2518C2214yes—
117#2518C2214yes—
118#2518C2214yes—
119#2515C2214yes—
120#2514C2212yes—
121#2514C2214yes—
122#2513C2212yes—
123#2512C2212yes—
124#2510C2214yes—
125#2509C2212yes—
126#2509C2212yes—
127#2508C2212yes—
128#2508C2212yes—
129#2507C2212yes—
130#2503C2214yes—
131#2497C2212yes—
132#2496C2212yes—
133#2495C2212yes—
134#2495C2214yes—
135#2495C2212yes—
136#2495C2212yes—
137#2495C2212yes—
138#2494C2212yes—
139#2494C2212yes—
140#2494C2212yes—
141#2494C2212yes—
142#2492C2212yes—
143#2491C2212yes—
144#2490C2212yes—
145#2489C2212yes—
146#2488C2214yes—
147#2488C2214yes—
148#2486C2212yes—
149#2486C2212yes—
150#2485C2212yes—
151#2485C2212yes—
152#2478C2214yes—
153#2478C2214yes—
154#2477C2214yes—
155#2477C2212yes—
156#2475C2212yes—
157#2474C2214yes—
158#2470C2214yes—
159#2470C2214yes—
160#2465C2214yes—
161#2465C2214yes—
162#2463C2214yes—
163#2463C2212yes—
164#2460C2212yes—
165#2453C2212yes—
166#2452C2211yescharacteristic
167#2448C2212yes—
168#2447C2214yes—
169#2446C2211yescharacteristic
170#2443C2214yes—
171#2441C2212yes—
172#2440C2212yes—
173#2439C2211yescharacteristic
174#2439C2212yes—
175#2439C2212yes—
176#2432C2211yescharacteristic
177#2429C2212yes—
178#2427C2211yescharacteristic
179#2422C2212yes—
180#2421C2212yes—
181#2421C2212yes—
182#2421C2211yescharacteristic
183#2420C2212yes—
184#2420C2212yes—
185#2417C2212yes—
186#2416C2212yes—
187#2415C2214yes—
188#2415C2211yescharacteristic
189#2415C2212yes—
190#2413C2214yes—
191#2407C2212yes—
192#2407C2211yescharacteristic
193#2401C2214yes—
194#2401C2214yes—
195#2398C2212yes—
196#2392C2212yes—
197#2374C2212yes—
198#2373C2212yes—
199#2372C2214yes—
200#2370C2212yes—
201#2370C2214yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2369C2211yescharacteristic
205#2369C2212yes—
206#2367C2214yes—
207#2365C2212yes—
208#2365C2212yes—
209#2364C2214yes—
210#2364C2212yes—
211#2363C2212yes—
212#2363C2211yescharacteristic
213#2362C2212yes—
214#2361C2211yescharacteristic
215#2361C2212yes—
216#2360C2212yes—
217#2360C2214yes—
218#2360C2212yes—
219#2357C2212yes—
220#2357C2211yescharacteristic
221#2356C2212yes—
222#2355C2211yescharacteristic
223#2355C2211yescharacteristic
224#2355C2212yes—
225#2355C2212yes—
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2354C2212yes—
230#2353C2212yes—
231#2352C2212yes—
232#2352C2214yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240#2347C2212yes—
241#2347C2211yescharacteristic
242#2347C2212yes—
243#2346C2212yes—
244#2346C2214yes—
245#2346C2212yes—
246#2346C2212yes—
247#2346C2212yes—
248#2345C2212yes—
249#2345C2211yescharacteristic
250#2344C2212yes—
251#2343C2214yes—
252#2341C2212yes—
253#2337C2214yes—
254#2333C2214yes—
255#2331C2212yes—
256#2330C2212yes—
257#2329C2214yes—
258#2329C2214yes—
259#2324C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×#125C2211yescharacteristic
264C4×#126C2212yes—
265C4×#124C2214yes—
266C4×#124C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×#123C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278#2298C2214yes—
279#2295C2211yescharacteristic
280#2295C2214yes—
281#2293C2214yes—
282#2293C2212yes—
283C2×#389C2212yes—
284#2290C2212yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2283C2212yes—
289#2283C2212yes—
290#2275C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#555—216no—
301#554—28no—
302#553—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2314yes—
316C2×#124C2314yes—
317C2×#124C2311yescharacteristic
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C4×#41—28no—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2314yes—
377C2×#117C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2314yes—
383C22×C42C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388#401C2314yes—
389#401C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#393C2312yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#393C2314yes—
464#392C2312yes—
465#392C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2314yes—
485#391C2311yescharacteristic
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2311yescharacteristic
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#383C2312yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2314yes—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—24no—
851C4⋊Q8—44no—
852#126—28no—
853#126—84no—
854#125—28no—
855#125—24no—
856#125—28no—
857#125—44no—
858#124—216no—
859#124—216no—
860#124—42no—
861#123—28no—
862#123—84no—
863#123—84no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—24no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872C22⋊Q8—42no—
873C22⋊Q8—84no—
874C22⋊Q8—82no—
875#121—24no—
876#121—28no—
877#121—28no—
878#121—216no—
879#121—42no—
880#121—44no—
881#121#4118yescomplemented
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—48no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—82no—
890C4×Q8#4118yes—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—48no—
908C4×D4—42no—
909#117—28no—
910#117—24no—
911#117—28no—
912#117—24no—
913#117—28no—
914#117—28no—
915#117—24no—
916#117—216no—
917#117—28no—
918#117—82no—
919#117—84no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—84no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—44no—
1047C2×C42—44no—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2511yescharacteristic
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2512yes—
1168#41—416no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—28no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8C2×#4114yes—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—28no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4C2×#4114yes—
1207C2×D4C2×#4118yes—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—28no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4C2×#4114yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4C2×#4118yes—
1354C4⋊C42−1+414yes—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—22no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—44no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4C2×#4118yes—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—28no—
1414C42—28no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—24no—
1419C42—28no—
1420C42—24no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—42no—
1434C42—44no—
1435C42—41no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—41no—
1442C42—44no—
1443C42C2×#4114yes—
1444C42C2×#4118yes—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23C22×#4112yes—
1472C23C22×#4114yes—
1473C23C2611yescharacteristic
1474Q8—28no—
1475Q8—44no—
1476Q8—84no—
1477Q8—84no—
1478Q8—88no—
1479D4—28no—
1480D4—48no—
1481D4—48no—
1482D4—44no—
1483D4—44no—
1484D4—84no—
1485D4—84no—
1486D4—88no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—28no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—48no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—88no—
1577C2×C4—82no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4114yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C2×2−1+414yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4#58512yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C22—24no—
1597C22—22no—
1598C22—22no—
1599C22—24no—
1600C22—22no—
1601C22—24no—
1602C22—42no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22C23×#4111yescharacteristic
1625C22C23×#4111yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22H(7,𝔽2)11yescharacteristic
1631C4—22no—
1632C4—24no—
1633C4—22no—
1634C4—24no—
1635C4—24no—
1636C4—24no—
1637C4—22no—
1638C4—44no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—41no—
1660C4#348214yes—
1661C4#349314yes—
1662C2—44no—
1663C2—42no—
1664C2—81no—
1665C2—82no—
1666C2C2×#348211yescharacteristic
1667C2C2×#349311yescharacteristic
1668C2#6278111yescharacteristic
1669C2#6295211yescharacteristic
1670C2#6299411yescharacteristic
1671C2#6300811yescharacteristic
1672C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59965C2semidirect
2. #59716C2semidirect
3. #59435C2semidirect
4. #59257C2semidirect
5. #59231C2semidirect
6. #59229C2semidirect
7. #59225C2semidirect
8. #59219C2semidirect
9. #45166C2semidirect
10. #44906C2semidirect
11. #43820C2semidirect
12. #43815C2semidirect
13. #40221C2semidirect
14. #40218C2semidirect
15. #39598C2semidirect
16. #39182C2semidirect
17. #38789C2semidirect
18. #37936C2semidirect
19. #36492C2semidirect
20. #36480C2semidirect
21. #36408C2semidirect
22. #36292C2semidirect
23. #36284C2semidirect
24. #36210C2semidirect
25. #36176C2semidirect
26. #36174C2semidirect
27. #36044C2semidirect
28. #36017C2semidirect
29. #34945C2semidirect
30. #34720C2semidirect
31. #34332C2semidirect
32. #34306C2semidirect
33. #34213C2semidirect
34. C4×#553C2semidirect
35. #34129C2semidirect
881. #121#41semidirect

Maximal subgroups

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

subgroupindex
#599652
#597162
#594352
#592572
#592312
#592292
#592252
#592192
#451662
#449062
#438202
#438152
#402212
#402182
#395982
#391822
#387892
#379362
#364922
#364802
#364082
#362922
#362842
#362102
#361762
#361742
#360442
#360172
#349452
#347202
#343322
#343062
#342132
C4×#5532
#341292