Finite Group Databasebeta

← #7898419

Subgroups — #7898419

Order 512.

4830 conjugacy classes of subgroups.

The subgroup lattice has 2320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60046C211yesmaximal, characteristic, complemented
2#59188C212yesmaximal, complemented
3#52169C211yesmaximal, characteristic, complemented
4#50617C212yesmaximal, complemented
5#49622C212yesmaximal, complemented
6#48990C212yesmaximal, complemented
7#48904C212yesmaximal, complemented
8#48479C212yesmaximal, complemented
9#47998C212yesmaximal, complemented
10#47077C212yesmaximal, complemented
11#47027C212yesmaximal, complemented
12#45962C211yesmaximal, characteristic, complemented
13#45806C211yesmaximal, characteristic, complemented
14#45258C212yesmaximal, complemented
15#44828C212yesmaximal, complemented
16#44360C212yesmaximal, complemented
17#44074C212yesmaximal, complemented
18#44069C212yesmaximal, complemented
19#41250C212yesmaximal, complemented
20#41087C212yesmaximal, complemented
21#40969C212yesmaximal, complemented
22#40598C212yesmaximal, complemented
23#39824C212yesmaximal, complemented
24#39582C211yesmaximal, characteristic, complemented
25#39359C211yesmaximal, characteristic, complemented
26#38826C212yesmaximal, complemented
27#38823C211yesmaximal, characteristic, complemented
28#38822C211yesmaximal, characteristic, complemented
29#38771C211yesmaximal, characteristic, complemented
30#38435C211yesmaximal, characteristic, complemented
31#37785C212yesmaximal, complemented
32#37152C211yesmaximal, characteristic, complemented
33#37135C211yesmaximal, characteristic, complemented
34#36402C211yesmaximal, characteristic, complemented
35#35707C212yesmaximal, complemented
36#35421C212yesmaximal, complemented
37#35038C211yesmaximal, characteristic, complemented
38#34473C212yesmaximal, complemented
39#34323C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#553C2211yescharacteristic
42C2×#547C2212yes—
43C2×#537C2212yes—
44C2×#529C2212yes—
45#2861C2211yescharacteristic
46#2860C2211yescharacteristic
47#2860C2211yescharacteristic
48#2856C2211yescharacteristic
49#2855C2211yescharacteristic
50#2855C2211yescharacteristic
51#2854C2212yes—
52#2850C2211yescharacteristic
53#2830C2212yes—
54#2828C2212yes—
55#2815C2212yes—
56#2813C2212yes—
57#2808C2211yescharacteristic
58#2806C2211yescharacteristic
59#2805C2211yescharacteristic
60#2805C2211yescharacteristic
61#2803C2212yes—
62#2803C2212yes—
63#2803C2212yes—
64#2802C2212yes—
65#2800C2212yes—
66#2797C2212yes—
67#2797C2212yes—
68#2793C2212yes—
69#2793C2212yes—
70#2792C2212yes—
71#2791C2212yes—
72#2787C2212yes—
73#2784C2212yes—
74#2783C2212yes—
75#2781C2212yes—
76#2781C2212yes—
77#2779C2212yes—
78#2778C2212yes—
79#2776C2212yes—
80#2774C2212yes—
81#2772C2212yes—
82#2769C2212yes—
83#2756C2212yes—
84#2756C2212yes—
85#2756C2212yes—
86#2755C2212yes—
87#2753C2212yes—
88#2751C2212yes—
89#2749C2212yes—
90#2747C2212yes—
91#2747C2212yes—
92#2740C2212yes—
93#2737C2212yes—
94#2734C2211yescharacteristic
95#2733C2211yescharacteristic
96#2733C2211yescharacteristic
97#2731C2212yes—
98#2727C2211yescharacteristic
99#2727C2211yescharacteristic
100#2726C2211yescharacteristic
101#2725C2212yes—
102#2724C2211yescharacteristic
103#2722C2212yes—
104#2716C2212yes—
105#2715C2212yes—
106#2715C2212yes—
107#2714C2212yes—
108#2714C2212yes—
109#2714C2212yes—
110#2714C2212yes—
111#2714C2212yes—
112#2714C2212yes—
113#2713C2212yes—
114#2712C2212yes—
115#2708C2212yes—
116#2707C2212yes—
117#2705C2212yes—
118#2703C2212yes—
119#2703C2212yes—
120#2703C2212yes—
121#2703C2212yes—
122#2703C2212yes—
123#2703C2212yes—
124#2702C2212yes—
125#2702C2212yes—
126#2702C2212yes—
127#2702C2212yes—
128#2699C2212yes—
129#2696C2212yes—
130#2695C2212yes—
131#2694C2212yes—
132#2691C2212yes—
133#2691C2212yes—
134#2690C2212yes—
135#2686C2212yes—
136#2683C2211yescharacteristic
137#2683C2211yescharacteristic
138#2682C2211yescharacteristic
139#2682C2211yescharacteristic
140#2682C2211yescharacteristic
141#2681C2212yes—
142#2681C2212yes—
143#2676C2212yes—
144#2676C2212yes—
145#2676C2212yes—
146#2674C2212yes—
147#2673C2212yes—
148#2673C2212yes—
149#2673C2212yes—
150#2671C2212yes—
151#2663C2212yes—
152#2663C2212yes—
153#2662C2212yes—
154#2661C2212yes—
155#2661C2212yes—
156#2661C2212yes—
157#2651C2212yes—
158#2650C2212yes—
159#2648C2212yes—
160#2648C2212yes—
161#2635C2212yes—
162#2635C2212yes—
163#2630C2212yes—
164#2627C2212yes—
165#2619C2212yes—
166#2618C2212yes—
167#2615C2212yes—
168#2610C2212yes—
169#2610C2212yes—
170#2605C2212yes—
171#2604C2212yes—
172#2604C2212yes—
173#2603C2212yes—
174#2602C2212yes—
175#2602C2212yes—
176#2602C2212yes—
177#2602C2212yes—
178#2601C2212yes—
179#2601C2212yes—
180#2600C2212yes—
181#2599C2212yes—
182#2597C2212yes—
183#2597C2212yes—
184#2596C2212yes—
185#2595C2212yes—
186#2595C2212yes—
187#2595C2212yes—
188#2594C2212yes—
189#2593C2212yes—
190#2589C2212yes—
191#2587C2212yes—
192#2587C2212yes—
193#2586C2212yes—
194#2585C2212yes—
195#2579C2212yes—
196#2578C2212yes—
197#2578C2212yes—
198#2578C2212yes—
199#2576C2212yes—
200#2576C2212yes—
201#2573C2212yes—
202#2573C2212yes—
203#2569C2212yes—
204#2559C2212yes—
205#2559C2212yes—
206#2559C2212yes—
207#2557C2212yes—
208#2557C2212yes—
209#2555C2212yes—
210#2555C2212yes—
211#2555C2212yes—
212#2554C2212yes—
213#2554C2212yes—
214#2549C2212yes—
215#2538C2212yes—
216#2533C2212yes—
217#2532C2212yes—
218#2531C2212yes—
219#2531C2212yes—
220#2531C2212yes—
221#2531C2212yes—
222#2531C2212yes—
223#2530C2212yes—
224#2529C2212yes—
225#2529C2212yes—
226#2526C2212yes—
227#2525C2212yes—
228#2525C2212yes—
229#2522C2212yes—
230#2521C2212yes—
231#2518C2212yes—
232#2511C2211yescharacteristic
233#2508C2211yescharacteristic
234#2500C2212yes—
235#2494C2211yescharacteristic
236#2491C2212yes—
237#2490C2212yes—
238#2490C2211yescharacteristic
239#2481C2212yes—
240#2478C2212yes—
241#2477C2212yes—
242#2477C2212yes—
243#2477C2212yes—
244#2476C2212yes—
245#2474C2212yes—
246#2471C2212yes—
247#2470C2212yes—
248#2470C2212yes—
249#2470C2212yes—
250#2470C2212yes—
251#2469C2212yes—
252#2469C2212yes—
253#2467C2212yes—
254#2467C2212yes—
255#2467C2212yes—
256#2467C2212yes—
257#2465C2212yes—
258#2465C2212yes—
259#2465C2212yes—
260#2464C2212yes—
261#2464C2212yes—
262#2464C2212yes—
263#2464C2212yes—
264#2464C2212yes—
265#2463C2212yes—
266#2463C2212yes—
267#2462C2212yes—
268#2461C2212yes—
269#2461C2212yes—
270#2461C2212yes—
271#2461C2212yes—
272#2460C2212yes—
273#2458C2212yes—
274#2458C2212yes—
275#2457C2212yes—
276#2456C2212yes—
277#2456C2212yes—
278#2456C2212yes—
279#2456C2212yes—
280#2456C2212yes—
281#2456C2212yes—
282#2452C2212yes—
283#2452C2212yes—
284#2450C2212yes—
285#2447C2211yescharacteristic
286#2445C2212yes—
287#2445C2211yescharacteristic
288#2443C2212yes—
289#2442C2212yes—
290#2441C2211yescharacteristic
291#2440C2212yes—
292#2440C2212yes—
293#2431C2211yescharacteristic
294#2431C2212yes—
295#2431C2212yes—
296#2430C2212yes—
297#2430C2212yes—
298#2428C2212yes—
299#2428C2212yes—
300#2427C2211yescharacteristic
301#2426C2212yes—
302#2426C2211yescharacteristic
303#2426C2212yes—
304#2425C2212yes—
305#2422C2212yes—
306#2421C2212yes—
307#2421C2212yes—
308#2416C2212yes—
309#2416C2212yes—
310#2416C2212yes—
311#2415C2211yescharacteristic
312#2414C2212yes—
313#2414C2211yescharacteristic
314#2414C2212yes—
315#2414C2211yescharacteristic
316#2407C2212yes—
317#2407C2211yescharacteristic
318#2406C2212yes—
319#2398C2212yes—
320#2396C2212yes—
321#2392C2212yes—
322#2392C2212yes—
323#2388C2212yes—
324#2377C2212yes—
325#2377C2212yes—
326#2376C2212yes—
327#2376C2212yes—
328#2374C2212yes—
329#2374C2212yes—
330#2374C2212yes—
331#2373C2212yes—
332#2373C2212yes—
333#2373C2212yes—
334#2373C2212yes—
335#2370C2211yescharacteristic
336#2365C2212yes—
337#2364C2212yes—
338#2363C2211yescharacteristic
339#2363C2211yescharacteristic
340#2362C2212yes—
341#2362C2211yescharacteristic
342#2361C2212yes—
343#2361C2211yescharacteristic
344#2360C2212yes—
345#2360C2212yes—
346#2359C2212yes—
347#2359C2212yes—
348#2357C2212yes—
349#2352C2212yes—
350#2352C2211yescharacteristic
351#2352C2212yes—
352#2349C2211yescharacteristic
353#2346C2211yescharacteristic
354#2345C2211yescharacteristic
355#2345C2212yes—
356#2341C2212yes—
357#2341C2212yes—
358#2337C2212yes—
359#2335C2212yes—
360#2335C2212yes—
361#2335C2212yes—
362#2335C2212yes—
363#2335C2212yes—
364#2335C2212yes—
365#2335C2212yes—
366#2334C2212yes—
367#2333C2212yes—
368#2333C2212yes—
369#2327C2212yes—
370#2325C2212yes—
371#2323C2212yes—
372#2323C2212yes—
373#2319C2212yes—
374#2313C2212yes—
375#2313C2212yes—
376#2311C2212yes—
377C4×#125C2211yescharacteristic
378C4×C22⋊Q8C2212yes—
379C4×C22⋊Q8C2212yes—
380C4×#121C2211yescharacteristic
381C4×#121C2211yescharacteristic
382C4×#121C2211yescharacteristic
383C4×#121C2212yes—
384C4×#121C2211yescharacteristic
385#2297C2212yes—
386#2297C2211yescharacteristic
387#2296C2211yescharacteristic
388#2296C2211yescharacteristic
389#2295C2211yescharacteristic
390#2293C2211yescharacteristic
391C2×#389C2211yescharacteristic
392#2290C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2312yes—
397C22×#41C2311yescharacteristic
398#556—48no—
399#553—28no—
400#547—216no—
401#537—48no—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×#127C2311yescharacteristic
405C2×#127C2312yes—
406#529—48no—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#125C2311yescharacteristic
416C2×#125C2312yes—
417C2×#125C2311yescharacteristic
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2311yescharacteristic
423C2×#124C2311yescharacteristic
424C2×#124C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2311yescharacteristic
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2311yescharacteristic
455C2×#121C2311yescharacteristic
456C2×#121C2311yescharacteristic
457C2×#121C2311yescharacteristic
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2311yescharacteristic
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2311yescharacteristic
470C2×#121C2311yescharacteristic
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519#401C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#392C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2311yescharacteristic
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2311yescharacteristic
721#391C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2311yescharacteristic
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2311yescharacteristic
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2311yescharacteristic
743#390C2311yescharacteristic
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2311yescharacteristic
749#390C2311yescharacteristic
750#390C2311yescharacteristic
751#390C2311yescharacteristic
752#390C2311yescharacteristic
753#390C2312yes—
754#390C2312yes—
755#390C2311yescharacteristic
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2311yescharacteristic
762#390C2312yes—
763#389C2311yescharacteristic
764#389C2311yescharacteristic
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2311yescharacteristic
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2311yescharacteristic
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2312yes—
797#389C2312yes—
798#389C2311yescharacteristic
799#389C2311yescharacteristic
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2312yes—
803#389C2311yescharacteristic
804#389C2312yes—
805#389C2311yescharacteristic
806#389C2311yescharacteristic
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#384C2311yescharacteristic
1040#384C2312yes—
1041#383C2312yes—
1042#383C2312yes—
1043#383C2312yes—
1044#382C2311yescharacteristic
1045#382C2312yes—
1046#382C2312yes—
1047#382C2312yes—
1048#382C2311yescharacteristic
1049#381C2312yes—
1050#381C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2311yescharacteristic
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2311yescharacteristic
1075#380C2311yescharacteristic
1076#380C2311yescharacteristic
1077#380C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2311yescharacteristic
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139C4×C22⋊C4C2312yes—
1140#376C2312yes—
1141#376C2312yes—
1142#376C2312yes—
1143#376C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2311yescharacteristic
1147C2×#41—28no—
1148C2×#41—28no—
1149C2×#41—44no—
1150C2×#41—44no—
1151C2×#41—42no—
1152C2×#41—81no—
1153C2×#41—82no—
1154C2×#41—82no—
1155C2×#41—81no—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2411yescharacteristic
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2411yescharacteristic
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C23×C4C2412yes—
1189C23×C4C2411yescharacteristic
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2411yescharacteristic
1197C23×C4C2412yes—
1198C23×C4C2411yescharacteristic
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2411yescharacteristic
1205C23×C4C2412yes—
1206C4⋊Q8—28no—
1207C4⋊Q8—44no—
1208#127—81no—
1209#127—82no—
1210#126—28no—
1211#126—28no—
1212#126—44no—
1213#126—44no—
1214#126—44no—
1215#126—44no—
1216#126—44no—
1217#126—44no—
1218#125—24no—
1219#125—44no—
1220#125—81no—
1221#124—44no—
1222#124—44no—
1223#124—44no—
1224#124—44no—
1225#124—81no—
1226#124—82no—
1227#124—81no—
1228#123—28no—
1229#123—28no—
1230#123—28no—
1231#123—28no—
1232#123—28no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236#123—44no—
1237#123—44no—
1238#123—44no—
1239#123—82no—
1240#123—82no—
1241#123—82no—
1242C22⋊Q8—28no—
1243C22⋊Q8—28no—
1244C22⋊Q8—28no—
1245C22⋊Q8—28no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—44no—
1250C22⋊Q8—42no—
1251C22⋊Q8—81no—
1252C22⋊Q8—82no—
1253C22⋊Q8—81no—
1254#121—28no—
1255#121—28no—
1256#121—24no—
1257#121—28no—
1258#121—24no—
1259#121—24no—
1260#121—42no—
1261#121—44no—
1262#121—44no—
1263#121—44no—
1264#121—44no—
1265#121—44no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—42no—
1272#121—82no—
1273#121—81no—
1274#121—82no—
1275#121—82no—
1276#121—82no—
1277#121—82no—
1278#121—81no—
1279C4×Q8—24no—
1280C4×Q8—44no—
1281C4×Q8—44no—
1282C4×Q8—44no—
1283C4×Q8—82no—
1284C4×Q8—82no—
1285C4×D4—28no—
1286C4×D4—28no—
1287C4×D4—24no—
1288C4×D4—28no—
1289C4×D4—24no—
1290C4×D4—44no—
1291C4×D4—42no—
1292C4×D4—44no—
1293C4×D4—42no—
1294C4×D4—44no—
1295C4×D4—44no—
1296C4×D4—44no—
1297C4×D4—44no—
1298C4×D4—81no—
1299C4×D4—81no—
1300C4×D4—81no—
1301C4×D4—81no—
1302C4×D4—82no—
1303C4×D4—82no—
1304C4×D4—82no—
1305#117—24no—
1306#117—24no—
1307#117—44no—
1308#117—44no—
1309#117—44no—
1310#117—81no—
1311#117—81no—
1312#117—82no—
1313#117—81no—
1314C2×C4⋊C4—28no—
1315C2×C4⋊C4—44no—
1316C2×C4⋊C4—81no—
1317C2×C4⋊C4—82no—
1318C2×C4⋊C4#4118yescomplemented
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2411yescharacteristic
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2411yescharacteristic
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2411yescharacteristic
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2411yescharacteristic
1397C2×C4⋊C4C2411yescharacteristic
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2411yescharacteristic
1404C2×C22⋊C4C2411yescharacteristic
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2411yescharacteristic
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2411yescharacteristic
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2411yescharacteristic
1451C2×C22⋊C4C2411yescharacteristic
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C42—44no—
1496C2×C42—81no—
1497C2×C42—81no—
1498C2×C42C2412yes—
1499C2×C42C2411yescharacteristic
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2411yescharacteristic
1504C2×C42C2412yes—
1505C2×C42C2411yescharacteristic
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2412yes—
1516C2×C42C2412yes—
1517C2×C42C2411yescharacteristic
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2411yescharacteristic
1521C2×C42C2411yescharacteristic
1522C2×C42C2411yescharacteristic
1523C2×C42C2411yescharacteristic
1524C2×C42C2412yes—
1525C2×C42C2412yes—
1526C2×C42C2411yescharacteristic
1527C2×C42C2412yes—
1528C2×C42C2411yescharacteristic
1529C2×C42C2412yes—
1530C2×C42C2412yes—
1531C2×C42C2411yescharacteristic
1532C2×C42C2411yescharacteristic
1533C2×C42C2411yescharacteristic
1534C2×C42C2412yes—
1535#95C2412yes—
1536#95C2411yescharacteristic
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2411yescharacteristic
1558#95C2412yes—
1559#95C2412yes—
1560#95C2411yescharacteristic
1561#95C2412yes—
1562#95C2412yes—
1563#95C2411yescharacteristic
1564#95C2411yescharacteristic
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627C24C2512yes—
1628C24C2511yescharacteristic
1629C24C2512yes—
1630C24C2512yes—
1631C24C2512yes—
1632C24C2511yescharacteristic
1633#41—816no—
1634#41—816no—
1635#41—88no—
1636C2×Q8—24no—
1637C2×Q8—24no—
1638C2×Q8—24no—
1639C2×Q8—24no—
1640C2×Q8—22no—
1641C2×Q8—22no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—41no—
1646C2×Q8—42no—
1647C2×Q8—41no—
1648C2×Q8—42no—
1649C2×Q8—41no—
1650C2×Q8—41no—
1651C2×D4—24no—
1652C2×D4—22no—
1653C2×D4—24no—
1654C2×D4—24no—
1655C2×D4—24no—
1656C2×D4—22no—
1657C2×D4—24no—
1658C2×D4—24no—
1659C2×D4—24no—
1660C2×D4—24no—
1661C2×D4—24no—
1662C2×D4—22no—
1663C2×D4—22no—
1664C2×D4—22no—
1665C2×D4—41no—
1666C2×D4—41no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—41no—
1670C2×D4—41no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—41no—
1679C2×D4—41no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—41no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—41no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—41no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—41no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C2×D4—42no—
1714C2×D4—42no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—42no—
1720C2×D4—42no—
1721C2×D4—42no—
1722C2×D4—42no—
1723C2×D4—42no—
1724C2×D4—42no—
1725C2×D4—42no—
1726C22×C4—22no—
1727C22×C4—24no—
1728C22×C4—24no—
1729C22×C4—24no—
1730C22×C4—22no—
1731C22×C4—24no—
1732C22×C4—22no—
1733C22×C4—22no—
1734C22×C4—24no—
1735C22×C4—24no—
1736C22×C4—24no—
1737C22×C4—24no—
1738C22×C4—22no—
1739C22×C4—22no—
1740C22×C4—24no—
1741C22×C4—24no—
1742C22×C4—41no—
1743C22×C4—41no—
1744C22×C4—41no—
1745C22×C4—41no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—41no—
1750C22×C4—41no—
1751C22×C4—41no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—41no—
1756C22×C4—41no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—41no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—42no—
1769C22×C4—41no—
1770C22×C4—42no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—42no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4—42no—
1781C22×C4—42no—
1782C22×C4—42no—
1783C22×C4—42no—
1784C22×C4C2×#4114yes—
1785C22×C4C2×#4118yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2511yescharacteristic
1789C22×C4C2511yescharacteristic
1790C22×C4C2511yescharacteristic
1791C22×C4C2511yescharacteristic
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2512yes—
1795C22×C4C2512yes—
1796C22×C4C2511yescharacteristic
1797C22×C4C2512yes—
1798C22×C4C2512yes—
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2512yes—
1802C22×C4C2512yes—
1803C22×C4C2512yes—
1804C22×C4C2512yes—
1805C22×C4C2512yes—
1806C22×C4C2511yescharacteristic
1807C22×C4C2512yes—
1808C22×C4C2511yescharacteristic
1809C22×C4C2511yescharacteristic
1810C22×C4C2512yes—
1811C22×C4C2511yescharacteristic
1812C22×C4C2511yescharacteristic
1813C22×C4C2512yes—
1814C22×C4C2512yes—
1815C22×C4C2512yes—
1816C22×C4C2511yescharacteristic
1817C22×C4C2511yescharacteristic
1818C22×C4C2511yescharacteristic
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—22no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—22no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—22no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—24no—
1838C4⋊C4—22no—
1839C4⋊C4—24no—
1840C4⋊C4—24no—
1841C4⋊C4—22no—
1842C4⋊C4—24no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—41no—
1846C4⋊C4—42no—
1847C4⋊C4—41no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—41no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—41no—
1859C4⋊C4—41no—
1860C4⋊C4—42no—
1861C4⋊C4—41no—
1862C4⋊C4—41no—
1863C4⋊C4—41no—
1864C4⋊C4—41no—
1865C4⋊C4—42no—
1866C4⋊C4—41no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—41no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—41no—
1883C4⋊C4—41no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—42no—
1895C4⋊C4C2×#4118yes—
1896C4⋊C4C2×#4114yes—
1897C4⋊C4C2×#4114yes—
1898C4⋊C4H(5,𝔽2)14yes—
1899C22⋊C4—22no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—22no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—22no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—41no—
1946C22⋊C4—41no—
1947C22⋊C4—42no—
1948C22⋊C4—41no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—42no—
1987C22⋊C4—42no—
1988C22⋊C4—42no—
1989C22⋊C4—42no—
1990C22⋊C4—42no—
1991C22⋊C4—42no—
1992C22⋊C4—42no—
1993C22⋊C4—42no—
1994C22⋊C4—42no—
1995C42—24no—
1996C42—22no—
1997C42—24no—
1998C42—24no—
1999C42—24no—
2000C42—22no—
2001C42—24no—
2002C42—22no—
2003C42—42no—
2004C42—42no—
2005C42—41no—
2006C42—41no—
2007C42—41no—
2008C42—41no—
2009C42—41no—
2010C42—41no—
2011C42—41no—
2012C42—41no—
2013C42—42no—
2014C42—42no—
2015C42—42no—
2016C42—42no—
2017C42—42no—
2018C42—42no—
2019C42—42no—
2020C42—42no—
2021C42—41no—
2022C42—42no—
2023C42—42no—
2024C42—42no—
2025C42—42no—
2026C42—42no—
2027C42—42no—
2028C42—42no—
2029C42—42no—
2030C42—41no—
2031C42—42no—
2032C23—21no—
2033C23—21no—
2034C23—21no—
2035C23—21no—
2036C23—21no—
2037C23—21no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—21no—
2042C23—22no—
2043C23—22no—
2044C23—21no—
2045C23—22no—
2046C23—22no—
2047C23—22no—
2048C23—22no—
2049C23—22no—
2050C23—22no—
2051C23—22no—
2052C23—22no—
2053C23—21no—
2054C23—22no—
2055C23—22no—
2056C23—22no—
2057C23—21no—
2058C23—21no—
2059C23—22no—
2060C23—22no—
2061C23—22no—
2062C23—22no—
2063C23—22no—
2064C23—21no—
2065C23—22no—
2066C23—22no—
2067C23—22no—
2068C23—22no—
2069C23—22no—
2070C23—22no—
2071C23—22no—
2072C23—21no—
2073C23C22×#4112yes—
2074C23C2611yescharacteristic
2075Q8—48no—
2076Q8—48no—
2077Q8—82no—
2078Q8—82no—
2079Q8—84no—
2080D4—48no—
2081D4—44no—
2082D4—44no—
2083D4—48no—
2084D4—84no—
2085D4—84no—
2086D4—82no—
2087D4—82no—
2088D4—84no—
2089D4—84no—
2090D4—82no—
2091D4—84no—
2092D4—84no—
2093D4—84no—
2094D4—84no—
2095D4—84no—
2096D4—84no—
2097D4—84no—
2098D4—84no—
2099D4—84no—
2100D4—162no—
2101D4—162no—
2102D4—162no—
2103D4—162no—
2104D4—162no—
2105C2×C4—22no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—21no—
2110C2×C4—21no—
2111C2×C4—21no—
2112C2×C4—21no—
2113C2×C4—21no—
2114C2×C4—21no—
2115C2×C4—22no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—21no—
2120C2×C4—21no—
2121C2×C4—21no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—21no—
2125C2×C4—21no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—21no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—21no—
2140C2×C4—22no—
2141C2×C4—21no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—21no—
2147C2×C4—21no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—21no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—21no—
2164C2×C4—21no—
2165C2×C4—21no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—21no—
2169C2×C4—22no—
2170C2×C4—21no—
2171C2×C4—21no—
2172C2×C4—21no—
2173C2×C4—22no—
2174C2×C4—21no—
2175C2×C4—22no—
2176C2×C4—22no—
2177C2×C4—22no—
2178C2×C4—22no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—22no—
2182C2×C4—22no—
2183C2×C4—21no—
2184C2×C4—22no—
2185C2×C4—22no—
2186C2×C4—22no—
2187C2×C4—21no—
2188C2×C4—21no—
2189C2×C4—22no—
2190C2×C4—22no—
2191C2×C4—22no—
2192C2×C4—22no—
2193C2×C4—21no—
2194C2×C4—22no—
2195C2×C4—22no—
2196C2×C4—44no—
2197C2×C4—48no—
2198C2×C4—44no—
2199C2×C4—48no—
2200C2×C4—48no—
2201C2×C4—44no—
2202C2×C4—44no—
2203C2×C4—84no—
2204C2×C4—84no—
2205C2×C4—82no—
2206C2×C4—84no—
2207C2×C4—84no—
2208C2×C4—82no—
2209C2×C4—84no—
2210C2×C4—84no—
2211C2×C4—84no—
2212C2×C4—84no—
2213C2×C4—162no—
2214C2×C4—162no—
2215C2×C4—162no—
2216C2×C4C22×#4112yes—
2217C2×C4C22×#4112yes—
2218C2×C4C22×#4114yes—
2219C2×C4C22×#4114yes—
2220C2×C4C2×H(5,𝔽2)14yes—
2221C2×C4C2×H(5,𝔽2)12yes—
2222C2×C4#58512yes—
2223C2×C4#58512yes—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—41no—
2228C22—41no—
2229C22—41no—
2230C22—41no—
2231C22—42no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—41no—
2236C22—42no—
2237C22—41no—
2238C22—42no—
2239C22—42no—
2240C22—42no—
2241C22—42no—
2242C22—42no—
2243C22—42no—
2244C22—41no—
2245C22—42no—
2246C22—41no—
2247C22—42no—
2248C22—42no—
2249C22—42no—
2250C22—42no—
2251C22—41no—
2252C22—42no—
2253C22—42no—
2254C22—42no—
2255C22—42no—
2256C22—42no—
2257C22—41no—
2258C22—42no—
2259C22—42no—
2260C22—42no—
2261C22—41no—
2262C22—42no—
2263C22—42no—
2264C22—42no—
2265C22—42no—
2266C22C23×#4111yescharacteristic
2267C22C22×H(5,𝔽2)11yescharacteristic
2268C22C2×#58511yescharacteristic
2269C22C2×#58511yescharacteristic
2270C22H(7,𝔽2)11yescharacteristic
2271C22H(7,𝔽2)11yescharacteristic
2272C222−1+611yescharacteristic
2273C4—24no—
2274C4—24no—
2275C4—24no—
2276C4—22no—
2277C4—22no—
2278C4—22no—
2279C4—22no—
2280C4—22no—
2281C4—41no—
2282C4—42no—
2283C4—42no—
2284C4—42no—
2285C4—41no—
2286C4—42no—
2287C4—41no—
2288C4—42no—
2289C4—42no—
2290C4—41no—
2291C4—42no—
2292C4—41no—
2293C4—41no—
2294C4—42no—
2295C4—42no—
2296C4—42no—
2297C4—41no—
2298C4—42no—
2299C4—42no—
2300C4—42no—
2301C4—42no—
2302C4—41no—
2303C4—42no—
2304C4—42no—
2305C4—42no—
2306C2—42no—
2307C2—82no—
2308C2—82no—
2309C2—82no—
2310C2—82no—
2311C2—81no—
2312C2#6279311yescharacteristic
2313C2#6285611yescharacteristic
2314C2#6286711yescharacteristic
2315C2#6292211yescharacteristic
2316C2#6295711yescharacteristic
2317C2#6298311yescharacteristic
2318C2#6305611yescharacteristic
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. #60046C2semidirect
2. #59188C2semidirect
3. #52169C2semidirect
4. #50617C2semidirect
5. #49622C2semidirect
6. #48990C2semidirect
7. #48904C2semidirect
8. #48479C2semidirect
9. #47998C2semidirect
10. #47077C2semidirect
11. #47027C2semidirect
12. #45962C2semidirect
13. #45806C2semidirect
14. #45258C2semidirect
15. #44828C2semidirect
16. #44360C2semidirect
17. #44074C2semidirect
18. #44069C2semidirect
19. #41250C2semidirect
20. #41087C2semidirect
21. #40969C2semidirect
22. #40598C2semidirect
23. #39824C2semidirect
24. #39582C2semidirect
25. #39359C2semidirect
26. #38826C2semidirect
27. #38823C2semidirect
28. #38822C2semidirect
29. #38771C2semidirect
30. #38435C2semidirect
31. #37785C2semidirect
32. #37152C2semidirect
33. #37135C2semidirect
34. #36402C2semidirect
35. #35707C2semidirect
36. #35421C2semidirect
37. #35038C2semidirect
38. #34473C2semidirect
39. #34323C2semidirect
1318. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#600462
#591882
#521692
#506172
#496222
#489902
#489042
#484792
#479982
#470772
#470272
#459622
#458062
#452582
#448282
#443602
#440742
#440692
#412502
#410872
#409692
#405982
#398242
#395822
#393592
#388262
#388232
#388222
#387712
#384352
#377852
#371522
#371352
#364022
#357072
#354212
#350382
#344732
#343232