Finite Group Databasebeta

← #7695082

Subgroups — #7695082

Order 512.

4803 conjugacy classes of subgroups.

The subgroup lattice has 2256 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59885C211yesmaximal, characteristic, complemented
2#59878C211yesmaximal, characteristic, complemented
3#59873C211yesmaximal, characteristic, complemented
4#59529C212yesmaximal, complemented
5#59359C212yesmaximal, complemented
6#59231C212yesmaximal, complemented
7#52303C211yesmaximal, characteristic, complemented
8#52169C211yesmaximal, characteristic, complemented
9#52167C211yesmaximal, characteristic, complemented
10#44638C212yesmaximal, complemented
11#44251C212yesmaximal, complemented
12#44170C212yesmaximal, complemented
13#44155C212yesmaximal, complemented
14#43966C212yesmaximal, complemented
15#43953C212yesmaximal, complemented
16#43819C212yesmaximal, complemented
17#43187C212yesmaximal, complemented
18#43075C212yesmaximal, complemented
19#40384C212yesmaximal, complemented
20#40370C212yesmaximal, complemented
21#39864C212yesmaximal, complemented
22#39850C212yesmaximal, complemented
23#39583C211yesmaximal, characteristic, complemented
24#39580C211yesmaximal, characteristic, complemented
25#38790C211yesmaximal, characteristic, complemented
26#38789C211yesmaximal, characteristic, complemented
27#38446C211yesmaximal, characteristic, complemented
28#38445C211yesmaximal, characteristic, complemented
29#38016C212yesmaximal, complemented
30#38002C212yesmaximal, complemented
31#36536C211yesmaximal, characteristic, complemented
32#36523C212yesmaximal, complemented
33#35826C212yesmaximal, complemented
34#35766C212yesmaximal, complemented
35#35685C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic, complemented
37#34323C211yesmaximal, characteristic, complemented
38#34222C212yesmaximal, complemented
39#34219C212yesmaximal, complemented
40C2×#553C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#532C2212yes—
43C2×#529C2212yes—
44#2864C2211yescharacteristic
45#2855C2211yescharacteristic
46#2855C2211yescharacteristic
47#2855C2212yes—
48#2852C2212yes—
49#2852C2212yes—
50#2810C2211yescharacteristic
51#2809C2211yescharacteristic
52#2808C2211yescharacteristic
53#2808C2211yescharacteristic
54#2808C2211yescharacteristic
55#2806C2211yescharacteristic
56#2806C2212yes—
57#2806C2211yescharacteristic
58#2805C2211yescharacteristic
59#2797C2212yes—
60#2789C2212yes—
61#2787C2212yes—
62#2783C2212yes—
63#2781C2212yes—
64#2781C2212yes—
65#2781C2212yes—
66#2780C2212yes—
67#2779C2212yes—
68#2778C2212yes—
69#2778C2212yes—
70#2778C2212yes—
71#2778C2212yes—
72#2775C2212yes—
73#2772C2212yes—
74#2759C2212yes—
75#2757C2212yes—
76#2755C2212yes—
77#2754C2212yes—
78#2751C2212yes—
79#2744C2212yes—
80#2744C2212yes—
81#2743C2212yes—
82#2738C2212yes—
83#2734C2211yescharacteristic
84#2733C2211yescharacteristic
85#2732C2211yescharacteristic
86#2731C2212yes—
87#2730C2212yes—
88#2727C2211yescharacteristic
89#2726C2211yescharacteristic
90#2719C2212yes—
91#2715C2212yes—
92#2715C2212yes—
93#2713C2212yes—
94#2711C2212yes—
95#2707C2212yes—
96#2702C2212yes—
97#2702C2212yes—
98#2699C2212yes—
99#2695C2212yes—
100#2694C2212yes—
101#2693C2212yes—
102#2688C2212yes—
103#2688C2212yes—
104#2686C2212yes—
105#2686C2212yes—
106#2686C2212yes—
107#2686C2212yes—
108#2686C2212yes—
109#2686C2212yes—
110#2683C2211yescharacteristic
111#2682C2211yescharacteristic
112#2682C2211yescharacteristic
113#2676C2212yes—
114#2676C2212yes—
115#2673C2212yes—
116#2673C2212yes—
117#2672C2212yes—
118#2671C2212yes—
119#2671C2212yes—
120#2667C2212yes—
121#2666C2212yes—
122#2655C2212yes—
123#2648C2212yes—
124#2638C2212yes—
125#2638C2212yes—
126#2636C2212yes—
127#2635C2212yes—
128#2630C2212yes—
129#2612C2212yes—
130#2612C2212yes—
131#2610C2212yes—
132#2608C2212yes—
133#2606C2212yes—
134#2605C2212yes—
135#2605C2212yes—
136#2604C2212yes—
137#2604C2212yes—
138#2604C2212yes—
139#2603C2212yes—
140#2602C2212yes—
141#2601C2212yes—
142#2600C2212yes—
143#2600C2212yes—
144#2600C2212yes—
145#2600C2212yes—
146#2598C2212yes—
147#2596C2212yes—
148#2594C2212yes—
149#2593C2212yes—
150#2591C2212yes—
151#2591C2212yes—
152#2589C2212yes—
153#2579C2212yes—
154#2578C2212yes—
155#2578C2212yes—
156#2578C2212yes—
157#2578C2212yes—
158#2577C2212yes—
159#2577C2212yes—
160#2577C2212yes—
161#2576C2212yes—
162#2576C2212yes—
163#2575C2212yes—
164#2573C2212yes—
165#2573C2212yes—
166#2573C2212yes—
167#2572C2212yes—
168#2564C2212yes—
169#2564C2212yes—
170#2562C2212yes—
171#2560C2212yes—
172#2560C2212yes—
173#2559C2212yes—
174#2554C2212yes—
175#2553C2212yes—
176#2553C2212yes—
177#2550C2212yes—
178#2549C2212yes—
179#2549C2212yes—
180#2547C2212yes—
181#2544C2212yes—
182#2543C2212yes—
183#2543C2212yes—
184#2536C2212yes—
185#2536C2211yescharacteristic
186#2535C2211yescharacteristic
187#2533C2212yes—
188#2533C2212yes—
189#2533C2212yes—
190#2532C2212yes—
191#2532C2212yes—
192#2532C2212yes—
193#2532C2212yes—
194#2531C2212yes—
195#2531C2212yes—
196#2531C2212yes—
197#2530C2212yes—
198#2529C2212yes—
199#2528C2212yes—
200#2528C2212yes—
201#2528C2212yes—
202#2528C2212yes—
203#2527C2212yes—
204#2527C2212yes—
205#2526C2212yes—
206#2524C2212yes—
207#2523C2212yes—
208#2522C2212yes—
209#2522C2212yes—
210#2521C2212yes—
211#2520C2212yes—
212#2520C2212yes—
213#2518C2212yes—
214#2518C2212yes—
215#2518C2212yes—
216#2516C2212yes—
217#2515C2212yes—
218#2515C2212yes—
219#2515C2212yes—
220#2505C2212yes—
221#2495C2212yes—
222#2495C2211yescharacteristic
223#2495C2211yescharacteristic
224#2493C2212yes—
225#2493C2212yes—
226#2493C2212yes—
227#2492C2212yes—
228#2489C2212yes—
229#2488C2212yes—
230#2488C2212yes—
231#2481C2212yes—
232#2481C2212yes—
233#2477C2212yes—
234#2476C2212yes—
235#2473C2212yes—
236#2470C2212yes—
237#2469C2212yes—
238#2468C2212yes—
239#2468C2212yes—
240#2468C2212yes—
241#2467C2212yes—
242#2467C2212yes—
243#2467C2212yes—
244#2466C2212yes—
245#2466C2212yes—
246#2465C2212yes—
247#2464C2212yes—
248#2463C2212yes—
249#2463C2212yes—
250#2460C2212yes—
251#2460C2212yes—
252#2459C2212yes—
253#2459C2212yes—
254#2457C2212yes—
255#2457C2212yes—
256#2456C2212yes—
257#2450C2212yes—
258#2449C2212yes—
259#2449C2212yes—
260#2448C2212yes—
261#2446C2212yes—
262#2439C2212yes—
263#2438C2212yes—
264#2438C2212yes—
265#2436C2212yes—
266#2434C2212yes—
267#2432C2212yes—
268#2428C2212yes—
269#2427C2212yes—
270#2427C2211yescharacteristic
271#2427C2211yescharacteristic
272#2420C2212yes—
273#2417C2212yes—
274#2415C2212yes—
275#2407C2212yes—
276#2396C2212yes—
277#2396C2212yes—
278#2395C2212yes—
279#2392C2212yes—
280#2392C2212yes—
281#2392C2212yes—
282#2392C2212yes—
283#2388C2212yes—
284#2388C2212yes—
285#2373C2212yes—
286#2373C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2372C2212yes—
292#2372C2212yes—
293#2372C2212yes—
294#2372C2212yes—
295#2372C2212yes—
296#2372C2212yes—
297#2372C2212yes—
298#2371C2212yes—
299#2371C2212yes—
300#2370C2211yescharacteristic
301#2368C2212yes—
302#2367C2211yescharacteristic
303#2364C2212yes—
304#2364C2212yes—
305#2364C2212yes—
306#2364C2212yes—
307#2364C2212yes—
308#2363C2211yescharacteristic
309#2362C2211yescharacteristic
310#2361C2212yes—
311#2361C2211yescharacteristic
312#2361C2211yescharacteristic
313#2359C2212yes—
314#2359C2212yes—
315#2356C2211yescharacteristic
316#2356C2212yes—
317#2356C2212yes—
318#2356C2211yescharacteristic
319#2353C2212yes—
320#2353C2212yes—
321#2353C2212yes—
322#2353C2212yes—
323#2353C2212yes—
324#2353C2212yes—
325#2353C2212yes—
326#2353C2212yes—
327#2352C2211yescharacteristic
328#2352C2212yes—
329#2352C2211yescharacteristic
330#2349C2211yescharacteristic
331#2349C2211yescharacteristic
332#2346C2211yescharacteristic
333#2346C2212yes—
334#2346C2212yes—
335#2345C2211yescharacteristic
336#2345C2212yes—
337#2343C2212yes—
338#2343C2212yes—
339Q8×C22⋊C4C2211yescharacteristic
340#2339C2211yescharacteristic
341#2339C2212yes—
342#2339C2212yes—
343#2339C2212yes—
344#2337C2212yes—
345#2335C2212yes—
346#2334C2212yes—
347#2332C2212yes—
348#2331C2212yes—
349#2331C2212yes—
350#2329C2212yes—
351#2329C2212yes—
352#2328C2212yes—
353#2328C2212yes—
354#2325C2212yes—
355#2325C2212yes—
356#2325C2212yes—
357#2325C2212yes—
358#2319C2212yes—
359#2319C2212yes—
360#2318C2212yes—
361#2318C2212yes—
362C4×#125C2211yescharacteristic
363C4×#124C2211yescharacteristic
364C4×#124C2211yescharacteristic
365C4×C22⋊Q8C2211yescharacteristic
366C4×C22⋊Q8C2212yes—
367C4×C22⋊Q8C2212yes—
368C4×#123C2212yes—
369C4×#123C2212yes—
370C4×#123C2212yes—
371C4×#123C2212yes—
372C4×#123C2212yes—
373C4×#121C2211yescharacteristic
374C4×#121C2211yescharacteristic
375C4×#121C2211yescharacteristic
376C4×#121C2212yes—
377C4×#121C2212yes—
378C4×#121C2212yes—
379C4×#121C2212yes—
380C4×#121C2211yescharacteristic
381C4×#121C2211yescharacteristic
382#2297C2211yescharacteristic
383#2296C2211yescharacteristic
384#2295C2211yescharacteristic
385C2×#391C2211yescharacteristic
386#2293C2211yescharacteristic
387C2×#389C2211yescharacteristic
388#2283C2212yes—
389#2283C2212yes—
390#2275C2212yes—
391#2275C2212yes—
392#2275C2212yes—
393C42×D4C2211yescharacteristic
394C2×#376C2212yes—
395C22×#41C2312yes—
396C22×#41C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#553—28no—
399#548—28no—
400#532—216no—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×#127C2312yes—
404#529—216no—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#124C2312yes—
415C2×#124C2311yescharacteristic
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2311yescharacteristic
420C2×#124C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2311yescharacteristic
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2311yescharacteristic
496C22×C42C2312yes—
497C22×C42C2312yes—
498C22×C42C2312yes—
499C22×C42C2311yescharacteristic
500C22×C42C2311yescharacteristic
501#401C2312yes—
502#401C2312yes—
503#401C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
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#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
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#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
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#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#392C2312yes—
647#392C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2311yescharacteristic
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2311yescharacteristic
665#391C2311yescharacteristic
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2312yes—
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2311yescharacteristic
695#390C2311yescharacteristic
696#390C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2311yescharacteristic
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2311yescharacteristic
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2311yescharacteristic
709#389C2311yescharacteristic
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2311yescharacteristic
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2312yes—
721#389C2311yescharacteristic
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2311yescharacteristic
728#389C2311yescharacteristic
729#389C2312yes—
730#389C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2312yes—
733#389C2311yescharacteristic
734#389C2311yescharacteristic
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#383C2312yes—
978#383C2312yes—
979#383C2312yes—
980#383C2312yes—
981#383C2312yes—
982#383C2312yes—
983#383C2312yes—
984#383C2312yes—
985#383C2312yes—
986#383C2312yes—
987#382C2311yescharacteristic
988#382C2312yes—
989#382C2312yes—
990#382C2312yes—
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2312yes—
995#382C2311yescharacteristic
996#382C2311yescharacteristic
997#382C2311yescharacteristic
998#382C2311yescharacteristic
999#382C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2311yescharacteristic
1022#380C2312yes—
1023#380C2311yescharacteristic
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2311yescharacteristic
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2311yescharacteristic
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2311yescharacteristic
1054C4×C4⋊C4C2311yescharacteristic
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2311yescharacteristic
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2311yescharacteristic
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2311yescharacteristic
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2311yescharacteristic
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2311yescharacteristic
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122#376C2312yes—
1123#376C2312yes—
1124#376C2312yes—
1125#376C2312yes—
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—28no—
1147C2×#41—81no—
1148C2×#41—81no—
1149C2×#41—82no—
1150C2×#41—82no—
1151C2×#41#4118yes—
1152C22×Q8—24no—
1153C22×Q8—81no—
1154C22×Q8—81no—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2411yescharacteristic
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2411yescharacteristic
1176C22×D4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2411yescharacteristic
1181C23×C4C2411yescharacteristic
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2411yescharacteristic
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2411yescharacteristic
1198C23×C4C2411yescharacteristic
1199C23×C4C2412yes—
1200C4⋊Q8—28no—
1201C4⋊Q8—82no—
1202#127—28no—
1203#126—28no—
1204#126—28no—
1205#126—28no—
1206#126—44no—
1207#126—82no—
1208#126—82no—
1209#125—28no—
1210#125—24no—
1211#125—82no—
1212#124—28no—
1213#124—28no—
1214#124—24no—
1215#124—28no—
1216#124—28no—
1217#124—42no—
1218#124—82no—
1219#123—28no—
1220#123—28no—
1221#123—28no—
1222#123—44no—
1223#123—44no—
1224C22⋊Q8—28no—
1225C22⋊Q8—24no—
1226C22⋊Q8—28no—
1227C22⋊Q8—44no—
1228C22⋊Q8—44no—
1229C22⋊Q8—82no—
1230C22⋊Q8—82no—
1231C22⋊Q8—81no—
1232C22⋊Q8—82no—
1233C22⋊Q8—81no—
1234#121—28no—
1235#121—28no—
1236#121—28no—
1237#121—28no—
1238#121—24no—
1239#121—28no—
1240#121—24no—
1241#121—24no—
1242#121—28no—
1243#121—28no—
1244#121—42no—
1245#121—42no—
1246#121—82no—
1247#121—82no—
1248C4×Q8—24no—
1249C4×Q8—28no—
1250C4×Q8—42no—
1251C4×Q8—81no—
1252C4×Q8—81no—
1253C4×D4—28no—
1254C4×D4—28no—
1255C4×D4—28no—
1256C4×D4—28no—
1257C4×D4—28no—
1258C4×D4—28no—
1259C4×D4—24no—
1260C4×D4—28no—
1261C4×D4—24no—
1262C4×D4—24no—
1263C4×D4—28no—
1264C4×D4—28no—
1265C4×D4—44no—
1266C4×D4—42no—
1267C4×D4—44no—
1268C4×D4—42no—
1269C4×D4—44no—
1270C4×D4—44no—
1271C4×D4—81no—
1272C4×D4—81no—
1273C4×D4—81no—
1274C4×D4—81no—
1275C4×D4—81no—
1276C4×D4—82no—
1277C4×D4—82no—
1278C4×D4—82no—
1279C4×D4—81no—
1280C4×D4—82no—
1281C4×D4—82no—
1282C4×D4—82no—
1283C4×D4—82no—
1284#117—28no—
1285#117—44no—
1286#117—81no—
1287#117—81no—
1288#117—82no—
1289#117#4118yescomplemented
1290C2×C4⋊C4—24no—
1291C2×C4⋊C4—44no—
1292C2×C4⋊C4—81no—
1293C2×C4⋊C4—81no—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2411yescharacteristic
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2411yescharacteristic
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C42—28no—
1451C2×C42—28no—
1452C2×C42—44no—
1453C2×C42—81no—
1454C2×C42—81no—
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
1458C2×C42C2411yescharacteristic
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2411yescharacteristic
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497#95C2411yescharacteristic
1498#95C2412yes—
1499#95C2412yes—
1500#95C2411yescharacteristic
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2411yescharacteristic
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2411yescharacteristic
1550#95C2411yescharacteristic
1551#95C2411yescharacteristic
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
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—
1609C24C2512yes—
1610C24C2512yes—
1611C24C2512yes—
1612C24C2511yescharacteristic
1613C24C2511yescharacteristic
1614#41—88no—
1615#41—816no—
1616C2×Q8—22no—
1617C2×Q8—24no—
1618C2×Q8—24no—
1619C2×Q8—24no—
1620C2×Q8—22no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—42no—
1627C2×Q8—41no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—88no—
1634C2×Q8C2×#4114yes—
1635C2×D4—22no—
1636C2×D4—22no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—22no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—22no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—41no—
1655C2×D4—41no—
1656C2×D4—42no—
1657C2×D4—41no—
1658C2×D4—41no—
1659C2×D4—41no—
1660C2×D4—41no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—41no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4C2×#4114yes—
1682C2×D4C2×#4118yes—
1683C22×C4—24no—
1684C22×C4—24no—
1685C22×C4—24no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—24no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—24no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—22no—
1698C22×C4—22no—
1699C22×C4—24no—
1700C22×C4—42no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—41no—
1706C22×C4—41no—
1707C22×C4—41no—
1708C22×C4—41no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—41no—
1713C22×C4—41no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—41no—
1718C22×C4—41no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—42no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4C2×#4118yes—
1750C22×C4C2×#4114yes—
1751C22×C4C2×#4114yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2511yescharacteristic
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C22×C4C2512yes—
1765C22×C4C2511yescharacteristic
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2511yescharacteristic
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2511yescharacteristic
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2511yescharacteristic
1778C22×C4C2511yescharacteristic
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2511yescharacteristic
1782C22×C4C2511yescharacteristic
1783C22×C4C2512yes—
1784C22×C4C2511yescharacteristic
1785C22×C4C2511yescharacteristic
1786C4⋊C4—22no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—22no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—22no—
1801C4⋊C4—24no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—22no—
1811C4⋊C4—22no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—41no—
1815C4⋊C4—41no—
1816C4⋊C4—41no—
1817C4⋊C4—41no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—41no—
1825C4⋊C4—41no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—41no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—41no—
1835C4⋊C4—41no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4C2×#4114yes—
1862C4⋊C4C2×#4114yes—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—22no—
1868C22⋊C4—24no—
1869C22⋊C4—22no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—22no—
1878C22⋊C4—22no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—22no—
1892C22⋊C4—22no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
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⋊C4C2×#4118yes—
1942C42—24no—
1943C42—24no—
1944C42—24no—
1945C42—24no—
1946C42—24no—
1947C42—24no—
1948C42—24no—
1949C42—24no—
1950C42—22no—
1951C42—24no—
1952C42—22no—
1953C42—24no—
1954C42—24no—
1955C42—22no—
1956C42—22no—
1957C42—42no—
1958C42—42no—
1959C42—41no—
1960C42—41no—
1961C42—41no—
1962C42—41no—
1963C42—41no—
1964C42—41no—
1965C42—41no—
1966C42—41no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—41no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42C2×#4118yes—
1984C23—22no—
1985C23—21no—
1986C23—21no—
1987C23—22no—
1988C23—21no—
1989C23—21no—
1990C23—22no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—22no—
1997C23—22no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23C22×#4112yes—
2017C23C22×#4112yes—
2018C23C22×#4114yes—
2019C23C2611yescharacteristic
2020Q8—44no—
2021Q8—44no—
2022Q8—84no—
2023Q8—82no—
2024Q8—84no—
2025Q8—84no—
2026D4—44no—
2027D4—48no—
2028D4—48no—
2029D4—48no—
2030D4—44no—
2031D4—44no—
2032D4—48no—
2033D4—44no—
2034D4—48no—
2035D4—48no—
2036D4—84no—
2037D4—84no—
2038D4—84no—
2039D4—84no—
2040D4—84no—
2041D4—84no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—22no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—21no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—21no—
2102C2×C4—22no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—21no—
2108C2×C4—21no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—21no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—21no—
2126C2×C4—21no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—21no—
2134C2×C4—22no—
2135C2×C4—44no—
2136C2×C4—44no—
2137C2×C4—48no—
2138C2×C4—48no—
2139C2×C4—44no—
2140C2×C4—44no—
2141C2×C4—84no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—84no—
2145C2×C4—84no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—82no—
2149C2×C4—82no—
2150C2×C4—84no—
2151C2×C4—84no—
2152C2×C4—84no—
2153C2×C4—84no—
2154C2×C4—84no—
2155C2×C4—162no—
2156C2×C4—162no—
2157C2×C4—162no—
2158C2×C4C22×#4112yes—
2159C2×C4C22×#4112yes—
2160C2×C4C22×#4114yes—
2161C2×C4C22×#4114yes—
2162C2×C4C22×#4114yes—
2163C2×C4C22×#4112yes—
2164C2×C4C22×#4112yes—
2165C2×C4#58512yes—
2166C2×C4#58512yes—
2167C22—22no—
2168C22—24no—
2169C22—22no—
2170C22—24no—
2171C22—22no—
2172C22—22no—
2173C22—24no—
2174C22—22no—
2175C22—22no—
2176C22—41no—
2177C22—42no—
2178C22—41no—
2179C22—42no—
2180C22—41no—
2181C22—41no—
2182C22—41no—
2183C22—41no—
2184C22—42no—
2185C22—41no—
2186C22—41no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—42no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22C23×#4111yescharacteristic
2203C22C23×#4111yescharacteristic
2204C22C2×#58511yescharacteristic
2205C22C2×#58511yescharacteristic
2206C22H(7,𝔽2)11yescharacteristic
2207C22H(7,𝔽2)11yescharacteristic
2208C222−1+611yescharacteristic
2209C4—24no—
2210C4—22no—
2211C4—22no—
2212C4—22no—
2213C4—24no—
2214C4—22no—
2215C4—22no—
2216C4—22no—
2217C4—24no—
2218C4—41no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—41no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—41no—
2229C4—42no—
2230C4—42no—
2231C4—42no—
2232C4—41no—
2233C4—42no—
2234C4—42no—
2235C4—41no—
2236C4—42no—
2237C4—41no—
2238C4—42no—
2239C4—42no—
2240C4—42no—
2241C4—41no—
2242C4—42no—
2243C2—42no—
2244C2—44no—
2245C2—42no—
2246C2—82no—
2247C2—82no—
2248C2#41211yescharacteristic
2249C2#6284411yescharacteristic
2250C2#6285611yescharacteristic
2251C2#6290811yescharacteristic
2252C2#6299411yescharacteristic
2253C2#6300911yescharacteristic
2254C2#6305011yescharacteristic
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. #59885C2semidirect
2. #59878C2semidirect
3. #59873C2semidirect
4. #59529C2semidirect
5. #59359C2semidirect
6. #59231C2semidirect
7. #52303C2semidirect
8. #52169C2semidirect
9. #52167C2semidirect
10. #44638C2semidirect
11. #44251C2semidirect
12. #44170C2semidirect
13. #44155C2semidirect
14. #43966C2semidirect
15. #43953C2semidirect
16. #43819C2semidirect
17. #43187C2semidirect
18. #43075C2semidirect
19. #40384C2semidirect
20. #40370C2semidirect
21. #39864C2semidirect
22. #39850C2semidirect
23. #39583C2semidirect
24. #39580C2semidirect
25. #38790C2semidirect
26. #38789C2semidirect
27. #38446C2semidirect
28. #38445C2semidirect
29. #38016C2semidirect
30. #38002C2semidirect
31. #36536C2semidirect
32. #36523C2semidirect
33. #35826C2semidirect
34. #35766C2semidirect
35. #35685C2semidirect
36. #34327C2semidirect
37. #34323C2semidirect
38. #34222C2semidirect
39. #34219C2semidirect
1289. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598852
#598782
#598732
#595292
#593592
#592312
#523032
#521692
#521672
#446382
#442512
#441702
#441552
#439662
#439532
#438192
#431872
#430752
#403842
#403702
#398642
#398502
#395832
#395802
#387902
#387892
#384462
#384452
#380162
#380022
#365362
#365232
#358262
#357662
#356852
#343272
#343232
#342222
#342192