Finite Group Databasebeta

← #8118775

Subgroups — #8118775

Order 512.

4564 conjugacy classes of subgroups.

The subgroup lattice has 2150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57274C212yesmaximal, complemented
2#57273C212yesmaximal, complemented
3#57267C212yesmaximal, complemented
4#56797C212yesmaximal, complemented
5#56796C212yesmaximal, complemented
6#56790C212yesmaximal, complemented
7#56572C212yesmaximal, complemented
8#56544C212yesmaximal, complemented
9#52585C212yesmaximal, complemented
10#52568C211yesmaximal, characteristic, complemented
11#52549C211yesmaximal, characteristic, complemented
12#47697C212yesmaximal, complemented
13#47412C212yesmaximal, complemented
14#47329C212yesmaximal, complemented
15#47265C212yesmaximal, complemented
16#47243C212yesmaximal, complemented
17#47199C212yesmaximal, complemented
18#47085C212yesmaximal, complemented
19#47070C212yesmaximal, complemented
20#43727C211yesmaximal, characteristic, complemented
21#43710C211yesmaximal, characteristic, complemented
22#43287C212yesmaximal, complemented
23#39556C212yesmaximal, complemented
24#39472C212yesmaximal, complemented
25#39429C212yesmaximal, complemented
26#39349C212yesmaximal, complemented
27#38170C212yesmaximal, complemented
28#38169C212yesmaximal, complemented
29#38138C212yesmaximal, complemented
30#38137C212yesmaximal, complemented
31#36956C211yesmaximal, characteristic, complemented
32#36955C211yesmaximal, characteristic, complemented
33#35093C212yesmaximal, complemented
34#34997C212yesmaximal, complemented
35C2×#2498C211yesmaximal, characteristic, complemented
36C2×#538C2212yes—
37C2×#538C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#117C2211yescharacteristic
41#2855C2212yes—
42#2854C2212yes—
43#2849C2212yes—
44#2849C2212yes—
45#2848C2212yes—
46#2847C2212yes—
47#2843C2212yescomplemented
48#2841C2212yescomplemented
49#2839C2212yescomplemented
50#2833C2212yescomplemented
51#2833C2211yescharacteristic, complemented
52#2831C2212yescomplemented
53#2831C2212yescomplemented
54#2830C2211yescharacteristic, complemented
55#2830C2212yescomplemented
56#2829C2212yescomplemented
57#2829C2212yescomplemented
58#2827C2212yescomplemented
59#2827C2212yescomplemented
60#2827C2212yescomplemented
61#2824C2212yescomplemented
62#2823C2211yescharacteristic, complemented
63#2822C2211yescharacteristic, complemented
64#2814C2212yescomplemented
65#2809C2212yescomplemented
66#2804C2211yescharacteristic, complemented
67#2803C2212yescomplemented
68#2801C2212yescomplemented
69#2799C2211yescharacteristic, complemented
70#2798C2212yescomplemented
71#2798C2212yescomplemented
72#2797C2212yescomplemented
73#2797C2212yescomplemented
74#2796C2212yescomplemented
75#2795C2212yescomplemented
76#2794C2212yescomplemented
77#2794C2211yescharacteristic, complemented
78#2792C2211yescharacteristic, complemented
79#2791C2212yescomplemented
80#2791C2212yescomplemented
81#2790C2212yescomplemented
82#2787C2212yescomplemented
83#2786C2212yescomplemented
84#2784C2212yescomplemented
85#2782C2212yes—
86#2782C2211yescharacteristic, complemented
87#2780C2212yescomplemented
88#2780C2212yescomplemented
89#2779C2212yescomplemented
90#2778C2212yes—
91#2778C2212yes—
92#2777C2212yescomplemented
93#2777C2212yescomplemented
94#2776C2212yescomplemented
95#2774C2212yescomplemented
96#2773C2212yescomplemented
97#2771C2212yescomplemented
98#2771C2212yescomplemented
99#2770C2212yescomplemented
100#2769C2211yescharacteristic, complemented
101#2766C2212yescomplemented
102#2761C2212yescomplemented
103#2758C2212yescomplemented
104#2756C2212yescomplemented
105#2754C2212yescomplemented
106#2751C2212yescomplemented
107#2750C2212yes—
108#2750C2212yescomplemented
109#2750C2212yescomplemented
110#2749C2212yes—
111#2747C2212yescomplemented
112#2747C2212yescomplemented
113#2747C2212yescomplemented
114#2747C2212yescomplemented
115#2747C2212yescomplemented
116#2746C2212yes—
117#2746C2212yescomplemented
118#2745C2212yescomplemented
119#2745C2212yescomplemented
120#2745C2212yescomplemented
121#2744C2212yescomplemented
122#2743C2212yescomplemented
123#2741C2212yescomplemented
124#2741C2212yescomplemented
125#2741C2212yescomplemented
126#2740C2212yescomplemented
127#2739C2212yescomplemented
128#2739C2212yescomplemented
129#2737C2212yescomplemented
130#2734C2211yescharacteristic, complemented
131#2731C2212yescomplemented
132#2728C2212yes—
133#2718C2212yes—
134#2718C2212yes—
135#2718C2212yescomplemented
136#2717C2212yes—
137#2717C2212yes—
138#2715C2212yes—
139#2715C2212yescomplemented
140#2715C2212yescomplemented
141#2713C2212yescomplemented
142#2712C2212yes—
143#2711C2212yescomplemented
144#2710C2212yes—
145#2710C2212yes—
146#2709C2212yes—
147#2709C2212yes—
148#2709C2212yes—
149#2708C2212yes—
150#2708C2212yes—
151#2708C2212yes—
152#2708C2212yes—
153#2708C2212yescomplemented
154#2708C2212yescomplemented
155#2708C2212yescomplemented
156#2707C2212yescomplemented
157#2706C2212yes—
158#2706C2212yes—
159#2703C2212yes—
160#2703C2212yes—
161#2702C2212yescomplemented
162#2702C2212yescomplemented
163#2702C2212yescomplemented
164#2700C2212yescomplemented
165#2699C2211yescharacteristic, complemented
166#2699C2212yescomplemented
167#2696C2212yes—
168#2695C2212yescomplemented
169#2695C2212yescomplemented
170#2691C2212yes—
171#2691C2212yescomplemented
172#2690C2212yescomplemented
173#2690C2212yescomplemented
174#2688C2212yes—
175#2686C2212yes—
176#2686C2212yescomplemented
177#2686C2212yescomplemented
178#2686C2212yescomplemented
179#2673C2212yes—
180#2671C2212yes—
181#2655C2212yescomplemented
182#2653C2212yescomplemented
183#2653C2212yescomplemented
184#2652C2212yescomplemented
185#2651C2212yescomplemented
186#2650C2212yescomplemented
187#2650C2212yescomplemented
188#2648C2212yescomplemented
189#2646C2212yescomplemented
190#2643C2212yescomplemented
191#2643C2212yescomplemented
192#2639C2212yescomplemented
193#2627C2212yes—
194#2622C2212yes—
195#2622C2212yes—
196#2622C2212yes—
197#2618C2212yes—
198#2613C2212yes—
199#2612C2211yescharacteristic, complemented
200#2600C2212yes—
201#2598C2212yes—
202#2598C2212yescomplemented
203#2597C2212yescomplemented
204#2596C2212yescomplemented
205#2595C2212yescomplemented
206#2593C2211yescharacteristic, complemented
207#2588C2212yescomplemented
208#2586C2212yescomplemented
209#2585C2212yescomplemented
210#2578C2212yes—
211#2578C2212yes—
212#2577C2212yescomplemented
213#2577C2212yescomplemented
214#2576C2212yes—
215#2575C2212yescomplemented
216#2572C2211yescharacteristic, complemented
217#2571C2211yescharacteristic, complemented
218#2569C2212yes—
219#2564C2212yes—
220#2561C2211yescharacteristic
221#2559C2212yes—
222#2557C2212yes—
223#2555C2212yes—
224#2547C2212yescomplemented
225#2544C2212yes—
226#2543C2212yes—
227#2539C2211yescharacteristic
228#2537C2212yescomplemented
229#2534C2212yes—
230#2530C2212yescomplemented
231#2530C2212yescomplemented
232#2527C2212yescomplemented
233#2526C2212yescomplemented
234#2525C2212yescomplemented
235#2523C2212yescomplemented
236#2522C2212yescomplemented
237#2522C2212yescomplemented
238#2521C2212yes—
239#2521C2212yescomplemented
240#2516C2212yescomplemented
241#2511C2212yescomplemented
242#2510C2212yescomplemented
243#2510C2212yescomplemented
244#2505C2212yescomplemented
245#2505C2212yescomplemented
246#2505C2212yescomplemented
247#2505C2212yescomplemented
248#2503C2211yescharacteristic
249#2501C2211yescharacteristic
250#2498C2212yes—
251#2498C2212yes—
252#2498C2212yes—
253#2498C2212yes—
254#2498C2212yes—
255#2498C2212yes—
256#2498C2212yes—
257#2498C2212yes—
258#2496C2212yescomplemented
259#2496C2212yescomplemented
260#2493C2212yes—
261#2493C2212yes—
262#2493C2212yes—
263#2493C2212yes—
264#2493C2212yescomplemented
265#2492C2212yescomplemented
266#2491C2212yescomplemented
267#2490C2212yescomplemented
268#2488C2212yes—
269#2488C2212yes—
270#2488C2212yes—
271#2487C2212yescomplemented
272#2486C2212yes—
273#2486C2212yescomplemented
274#2484C2211yescharacteristic
275#2484C2211yescharacteristic
276#2481C2212yes—
277#2481C2212yes—
278#2478C2212yescomplemented
279#2478C2212yescomplemented
280#2478C2212yescomplemented
281#2478C2212yescomplemented
282#2477C2212yes—
283#2476C2212yescomplemented
284#2476C2212yescomplemented
285#2476C2212yescomplemented
286#2476C2212yescomplemented
287#2474C2212yescomplemented
288#2474C2212yescomplemented
289#2474C2212yescomplemented
290#2474C2212yescomplemented
291#2473C2212yes—
292#2473C2212yes—
293#2473C2212yescomplemented
294#2472C2212yes—
295#2470C2212yescomplemented
296#2470C2212yescomplemented
297#2470C2212yescomplemented
298#2470C2212yescomplemented
299#2470C2212yescomplemented
300#2468C2212yescomplemented
301#2468C2212yescomplemented
302#2467C2212yescomplemented
303#2467C2212yescomplemented
304#2464C2212yescomplemented
305#2463C2212yes—
306#2460C2212yescomplemented
307#2460C2212yescomplemented
308#2457C2212yes—
309#2450C2212yes—
310#2450C2212yes—
311#2450C2212yescomplemented
312#2450C2212yescomplemented
313#2444C2212yes—
314#2444C2212yes—
315#2444C2212yescomplemented
316#2444C2212yescomplemented
317#2443C2212yescomplemented
318#2441C2212yescomplemented
319#2440C2212yes—
320#2438C2212yes—
321#2437C2212yes—
322#2430C2212yes—
323#2428C2212yes—
324#2425C2212yes—
325#2425C2212yes—
326#2425C2212yes—
327#2424C2212yes—
328#2424C2212yes—
329#2422C2212yescomplemented
330#2419C2212yes—
331#2419C2212yes—
332#2419C2212yes—
333#2418C2212yes—
334#2416C2212yes—
335#2416C2212yescomplemented
336#2412C2212yes—
337#2412C2212yes—
338#2412C2212yes—
339#2406C2211yescharacteristic
340#2406C2211yescharacteristic
341C2×#400C2211yescharacteristic
342C2×#399C2211yescharacteristic
343C2×#398C2211yescharacteristic
344C2×#397C2211yescharacteristic
345#2368C2212yes—
346#2361C2212yes—
347#2359C2212yes—
348#2358C2212yes—
349#2353C2212yes—
350D4×C4⋊C4C2212yes—
351#2342C2212yes—
352#2339C2212yes—
353#2336C2212yescomplemented
354#2335C2212yescomplemented
355#2334C2212yescomplemented
356#2333C2212yescomplemented
357#2329C2212yescomplemented
358#2325C2212yescomplemented
359#2322C2212yes—
360#2322C2212yes—
361#2319C2212yescomplemented
362#2318C2212yescomplemented
363#2318C2212yescomplemented
364#2318C2212yescomplemented
365#2314C2212yescomplemented
366#2313C2212yescomplemented
367#2312C2212yes—
368#2312C2211yescharacteristic
369#2308C2211yescharacteristic
370C4×#123C2212yes—
371C4×#123C2212yes—
372C4×#120C2212yes—
373C4×#120C2212yes—
374C2×#388C2212yes—
375C2×#387C2212yes—
376C2×#386C2212yes—
377C2×#380C2212yes—
378C22×#95C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×D4C2311yescharacteristic
381C24×C4C2311yescharacteristic
382C24×C4C2312yes—
383#538—48no—
384#538—44no—
385#535—44no—
386C2×C4⋊Q8C2312yes—
387C2×#127C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#123—44no—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×#117—44no—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2312yes—
470C22×C42C2312yes—
471#401C2312yes—
472#401C2312yes—
473#401C2312yes—
474#401C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2311yescharacteristic
482#400C2311yescharacteristic
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2311yescharacteristic
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2311yescharacteristic
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
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#400C2311yescharacteristic
517#400C2312yes—
518#400C2311yescharacteristic
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#398C2311yescharacteristic
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2311yescharacteristic
538#398C2311yescharacteristic
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#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2311yescharacteristic
561#398C2312yes—
562#398C2312yes—
563#398C2311yescharacteristic
564#398C2311yescharacteristic
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
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#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2311yescharacteristic
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2311yescharacteristic
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#394C2312yes—
642#394C2311yescharacteristic
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2311yescharacteristic
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#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#391C2311yescharacteristic
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2311yescharacteristic
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2312yes—
723#390C2311yescharacteristic
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
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#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
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#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
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#386C2312yes—
944#386C2312yes—
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#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#384C2311yescharacteristic
998#384C2312yes—
999#384C2311yescharacteristic
1000#384C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#382C2311yescharacteristic
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2311yescharacteristic
1011#381C2312yes—
1012#381C2311yescharacteristic
1013#381C2311yescharacteristic
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#379C2312yes—
1060#379C2312yes—
1061#379C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C22⋊C4C2311yescharacteristic
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090#376C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C25C2411yescharacteristic
1105C2×#41—42no—
1106C2×#41—44no—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×D4—24no—
1112C22×D4—44no—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2411yescharacteristic
1129C23×C4—24no—
1130C23×C4—44no—
1131C23×C4—44no—
1132C23×C4—44no—
1133C23×C4—82no—
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C4⋊Q8—82no—
1158#127—44no—
1159#126—44no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#126—82no—
1164#125—44no—
1165#125—82no—
1166#124—44no—
1167#124—44no—
1168#124—44no—
1169#124—44no—
1170#124—82no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—82no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—42no—
1188C22⋊Q8—44no—
1189C22⋊Q8—82no—
1190C22⋊Q8—82no—
1191#121—44no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#121—44no—
1198#121—44no—
1199#121—44no—
1200#121—42no—
1201#121—82no—
1202#121—82no—
1203#121—82no—
1204#120—28no—
1205#120—28no—
1206#120—44no—
1207#120—44no—
1208C4×D4—44no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—82no—
1218C4×D4—82no—
1219#117—44no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—42no—
1225C2×C4⋊C4—44no—
1226C2×C4⋊C4—44no—
1227C2×C4⋊C4—42no—
1228C2×C4⋊C4—42no—
1229C2×C4⋊C4—42no—
1230C2×C4⋊C4—42no—
1231C2×C4⋊C4—82no—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C22⋊C4—28no—
1311C2×C22⋊C4—24no—
1312C2×C22⋊C4—44no—
1313C2×C22⋊C4—44no—
1314C2×C22⋊C4—42no—
1315C2×C22⋊C4—42no—
1316C2×C22⋊C4—82no—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
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×C42—44no—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2411yescharacteristic
1425C2×C42C2411yescharacteristic
1426#95C2412yes—
1427#95C2412yes—
1428#95C2411yescharacteristic
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2411yescharacteristic
1433#95C2412yes—
1434#95C2411yescharacteristic
1435#95C2411yescharacteristic
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
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#95C2411yescharacteristic
1525#95C2412yes—
1526#95C2411yescharacteristic
1527#95C2412yes—
1528#95C2412yes—
1529#95C2411yescharacteristic
1530#95C2411yescharacteristic
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538C24—24no—
1539C24—22no—
1540C24—24no—
1541C24—42no—
1542C24—41no—
1543C24—41no—
1544C24—42no—
1545C24—41no—
1546C24—41no—
1547C24H(5,𝔽2)14yes—
1548C24C2512yes—
1549C24C2512yes—
1550C24C2512yes—
1551C24C2512yes—
1552C24C2511yescharacteristic
1553#41—88no—
1554C2×Q8—41no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—41no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—88no—
1613C22×C4—22no—
1614C22×C4—22no—
1615C22×C4—22no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—22no—
1625C22×C4—22no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—24no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—41no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—416no—
1679C22×C4—816no—
1680C22×C4C2512yes—
1681C22×C4C2511yescharacteristic
1682C22×C4C2512yes—
1683C22×C4C2511yescharacteristic
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2511yescharacteristic
1705C22×C4C2512yes—
1706C22×C4C2511yescharacteristic
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—41no—
1722C4⋊C4—41no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—41no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—41no—
1729C4⋊C4—41no—
1730C4⋊C4—41no—
1731C4⋊C4—41no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—41no—
1743C4⋊C4—41no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C42—24no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—41no—
1880C42—41no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—41no—
1894C42—42no—
1895C42—41no—
1896C23—22no—
1897C23—21no—
1898C23—21no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—28no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—44no—
1928C23—44no—
1929C23—48no—
1930C23—48no—
1931C23—44no—
1932C23—82no—
1933C23—82no—
1934C23—84no—
1935C23—84no—
1936C23C2×H(5,𝔽2)14yes—
1937C23C2×H(5,𝔽2)12yes—
1938C23#58514yes—
1939C23C2611yescharacteristic
1940Q8—82no—
1941Q8—162no—
1942Q8—161no—
1943Q8—162no—
1944D4—48no—
1945D4—48no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949D4—84no—
1950D4—84no—
1951D4—84no—
1952D4—84no—
1953D4—84no—
1954D4—82no—
1955D4—162no—
1956D4—162no—
1957D4—161no—
1958D4—162no—
1959D4—162no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—22no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—48no—
2046C2×C4—48no—
2047C2×C4—48no—
2048C2×C4—44no—
2049C2×C4—44no—
2050C2×C4—44no—
2051C2×C4—84no—
2052C2×C4—84no—
2053C2×C4—84no—
2054C2×C4—84no—
2055C2×C4—82no—
2056C2×C4—84no—
2057C2×C4—82no—
2058C2×C4—84no—
2059C2×C4—84no—
2060C2×C4—84no—
2061C2×C4—84no—
2062C2×C4—84no—
2063C2×C4—162no—
2064C2×C4—162no—
2065C2×C4—162no—
2066C2×C4—162no—
2067C2×C4—162no—
2068C2×C4#58514yes—
2069C22—22no—
2070C22—22no—
2071C22—24no—
2072C22—24no—
2073C22—24no—
2074C22—24no—
2075C22—24no—
2076C22—416no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—164no—
2103C22#353314yes—
2104C22C22×H(5,𝔽2)11yescharacteristic
2105C22C2×#58512yes—
2106C22C2×#58512yes—
2107C22H(7,𝔽2)11yescharacteristic
2108C222−1+611yescharacteristic
2109C4—24no—
2110C4—42no—
2111C4—41no—
2112C4—41no—
2113C4—41no—
2114C4—41no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—41no—
2124C4—42no—
2125C4—41no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C2—24no—
2140C2—44no—
2141C2—82no—
2142C2—82no—
2143C2—82no—
2144C2C2×#353311yescharacteristic
2145C2#6282211yescharacteristic
2146C2#6286611yescharacteristic
2147C2#6290612yes—
2148C2#6290712yes—
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. #57274C2semidirect
2. #57273C2semidirect
3. #57267C2semidirect
4. #56797C2semidirect
5. #56796C2semidirect
6. #56790C2semidirect
7. #56572C2semidirect
8. #56544C2semidirect
9. #52585C2semidirect
10. #52568C2semidirect
11. #52549C2semidirect
12. #47697C2semidirect
13. #47412C2semidirect
14. #47329C2semidirect
15. #47265C2semidirect
16. #47243C2semidirect
17. #47199C2semidirect
18. #47085C2semidirect
19. #47070C2semidirect
20. #43727C2semidirect
21. #43710C2semidirect
22. #43287C2semidirect
23. #39556C2semidirect
24. #39472C2semidirect
25. #39429C2semidirect
26. #39349C2semidirect
27. #38170C2semidirect
28. #38169C2semidirect
29. #38138C2semidirect
30. #38137C2semidirect
31. #36956C2semidirect
32. #36955C2semidirect
33. #35093C2semidirect
34. #34997C2semidirect
35. C2×#2498C2semidirect
47. #2843C22semidirect
48. #2841C22semidirect
49. #2839C22semidirect
50. #2833C22semidirect
51. #2833C22semidirect
52. #2831C22semidirect
53. #2831C22semidirect
54. #2830C22semidirect
55. #2830C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2827C22semidirect
59. #2827C22semidirect
60. #2827C22semidirect
61. #2824C22semidirect
62. #2823C22semidirect
63. #2822C22semidirect
64. #2814C22semidirect
65. #2809C22semidirect
66. #2804C22semidirect
67. #2803C22semidirect
68. #2801C22semidirect
69. #2799C22semidirect
70. #2798C22semidirect
71. #2798C22semidirect
72. #2797C22semidirect
73. #2797C22semidirect
74. #2796C22semidirect
75. #2795C22semidirect
76. #2794C22semidirect
77. #2794C22semidirect
78. #2792C22semidirect
79. #2791C22semidirect
80. #2791C22semidirect
81. #2790C22semidirect
82. #2787C22semidirect
83. #2786C22semidirect
84. #2784C22semidirect
86. #2782C22semidirect
87. #2780C22semidirect
88. #2780C22semidirect
89. #2779C22semidirect
92. #2777C22semidirect
93. #2777C22semidirect
94. #2776C22semidirect
95. #2774C22semidirect
96. #2773C22semidirect
97. #2771C22semidirect
98. #2771C22semidirect
99. #2770C22semidirect
100. #2769C22semidirect
101. #2766C22semidirect
102. #2761C22semidirect
103. #2758C22semidirect
104. #2756C22semidirect
105. #2754C22semidirect
106. #2751C22semidirect
108. #2750C22semidirect
109. #2750C22semidirect
111. #2747C22semidirect
112. #2747C22semidirect
113. #2747C22semidirect
114. #2747C22semidirect
115. #2747C22semidirect
117. #2746C22semidirect
118. #2745C22semidirect
119. #2745C22semidirect
120. #2745C22semidirect
121. #2744C22semidirect
122. #2743C22semidirect
123. #2741C22semidirect
124. #2741C22semidirect
125. #2741C22semidirect
126. #2740C22semidirect
127. #2739C22semidirect
128. #2739C22semidirect
129. #2737C22semidirect
130. #2734C22semidirect
131. #2731C22semidirect
135. #2718C22semidirect
139. #2715C22semidirect
140. #2715C22semidirect
141. #2713C22semidirect
143. #2711C22semidirect
153. #2708C22semidirect
154. #2708C22semidirect
155. #2708C22semidirect
156. #2707C22semidirect
161. #2702C22semidirect
162. #2702C22semidirect
163. #2702C22semidirect
164. #2700C22semidirect
165. #2699C22semidirect
166. #2699C22semidirect
168. #2695C22semidirect
169. #2695C22semidirect
171. #2691C22semidirect
172. #2690C22semidirect
173. #2690C22semidirect
176. #2686C22semidirect
177. #2686C22semidirect
178. #2686C22semidirect
181. #2655C22semidirect
182. #2653C22semidirect
183. #2653C22semidirect
184. #2652C22semidirect
185. #2651C22semidirect
186. #2650C22semidirect
187. #2650C22semidirect
188. #2648C22semidirect
189. #2646C22semidirect
190. #2643C22semidirect
191. #2643C22semidirect
192. #2639C22semidirect
199. #2612C22semidirect
202. #2598C22semidirect
203. #2597C22semidirect
204. #2596C22semidirect
205. #2595C22semidirect
206. #2593C22semidirect
207. #2588C22semidirect
208. #2586C22semidirect
209. #2585C22semidirect
212. #2577C22semidirect
213. #2577C22semidirect
215. #2575C22semidirect
216. #2572C22semidirect
217. #2571C22semidirect
224. #2547C22semidirect
228. #2537C22semidirect
230. #2530C22semidirect
231. #2530C22semidirect
232. #2527C22semidirect
233. #2526C22semidirect
234. #2525C22semidirect
235. #2523C22semidirect
236. #2522C22semidirect
237. #2522C22semidirect
239. #2521C22semidirect
240. #2516C22semidirect
241. #2511C22semidirect
242. #2510C22semidirect
243. #2510C22semidirect
244. #2505C22semidirect
245. #2505C22semidirect
246. #2505C22semidirect
247. #2505C22semidirect
258. #2496C22semidirect
259. #2496C22semidirect
264. #2493C22semidirect
265. #2492C22semidirect
266. #2491C22semidirect
267. #2490C22semidirect
271. #2487C22semidirect
273. #2486C22semidirect
278. #2478C22semidirect
279. #2478C22semidirect
280. #2478C22semidirect
281. #2478C22semidirect
283. #2476C22semidirect
284. #2476C22semidirect
285. #2476C22semidirect
286. #2476C22semidirect
287. #2474C22semidirect
288. #2474C22semidirect
289. #2474C22semidirect
290. #2474C22semidirect
293. #2473C22semidirect
295. #2470C22semidirect
296. #2470C22semidirect
297. #2470C22semidirect
298. #2470C22semidirect
299. #2470C22semidirect
300. #2468C22semidirect
301. #2468C22semidirect
302. #2467C22semidirect
303. #2467C22semidirect
304. #2464C22semidirect
306. #2460C22semidirect
307. #2460C22semidirect
311. #2450C22semidirect
312. #2450C22semidirect
315. #2444C22semidirect
316. #2444C22semidirect
317. #2443C22semidirect
318. #2441C22semidirect
329. #2422C22semidirect
335. #2416C22semidirect
353. #2336C22semidirect
354. #2335C22semidirect
355. #2334C22semidirect
356. #2333C22semidirect
357. #2329C22semidirect
358. #2325C22semidirect
361. #2319C22semidirect
362. #2318C22semidirect
363. #2318C22semidirect
364. #2318C22semidirect
365. #2314C22semidirect
366. #2313C22semidirect

Maximal subgroups

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

subgroupindex
#572742
#572732
#572672
#567972
#567962
#567902
#565722
#565442
#525852
#525682
#525492
#476972
#474122
#473292
#472652
#472432
#471992
#470852
#470702
#437272
#437102
#432872
#395562
#394722
#394292
#393492
#381702
#381692
#381382
#381372
#369562
#369552
#350932
#349972
C2×#24982