Finite Group Databasebeta

← #8932431

Subgroups — #8932431

Order 512.

4420 conjugacy classes of subgroups.

The subgroup lattice has 2144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58144C212yesmaximal, complemented
2#58088C212yesmaximal, complemented
3#58075C212yesmaximal, complemented
4#58041C212yesmaximal, complemented
5#58038C212yesmaximal, complemented
6#57112C212yesmaximal, complemented
7#57018C212yesmaximal, complemented
8#57015C212yesmaximal, complemented
9#54120C212yesmaximal, complemented
10#54086C212yesmaximal, complemented
11#53682C212yesmaximal, complemented
12#53532C212yesmaximal, complemented
13#51891C212yesmaximal, complemented
14#51534C212yesmaximal, complemented
15#51524C212yesmaximal, complemented
16#50100C212yesmaximal, complemented
17#50008C212yesmaximal, complemented
18#49594C211yesmaximal, characteristic, complemented
19#49592C211yesmaximal, characteristic, complemented
20#47176C211yesmaximal, characteristic, complemented
21#47170C211yesmaximal, characteristic, complemented
22#47113C212yesmaximal, complemented
23#47099C212yesmaximal, complemented
24#46349C211yesmaximal, characteristic, complemented
25#46308C212yesmaximal, complemented
26#46291C212yesmaximal, complemented
27#46099C211yesmaximal, characteristic, complemented
28#45949C212yesmaximal, complemented
29#45832C212yesmaximal, complemented
30#45816C212yesmaximal, complemented
31#37239C212yesmaximal, complemented
32#37096C212yesmaximal, complemented
33#37038C212yesmaximal, complemented
34#35675C212yesmaximal, complemented
35#35673C211yesmaximal, characteristic, complemented
36C2×#551C2212yescomplemented
37C2×#542C2212yes—
38C2×#536C2211yescharacteristic
39C2×#519C2211yescharacteristic, complemented
40#2865C2212yescomplemented
41#2863C2212yescomplemented
42#2861C2212yes—
43#2861C2212yescomplemented
44#2852C2212yescomplemented
45#2850C2212yescomplemented
46#2838C2212yescomplemented
47#2838C2212yescomplemented
48#2838C2212yescomplemented
49#2837C2212yes—
50#2837C2212yes—
51#2836C2212yescomplemented
52#2833C2211yescharacteristic, complemented
53#2832C2211yescharacteristic
54#2832C2211yescharacteristic
55#2832C2212yes—
56#2832C2211yescharacteristic
57#2832C2211yescharacteristic, complemented
58#2832C2212yescomplemented
59#2831C2212yescomplemented
60#2830C2211yescharacteristic
61#2830C2212yes—
62#2830C2212yescomplemented
63#2829C2212yes—
64#2825C2212yes—
65#2824C2212yes—
66#2811C2211yescharacteristic, complemented
67#2811C2211yescharacteristic, complemented
68#2810C2212yescomplemented
69#2808C2212yes—
70#2807C2212yescomplemented
71#2805C2212yescomplemented
72#2804C2212yescomplemented
73#2803C2212yescomplemented
74#2800C2212yes—
75#2799C2211yescharacteristic, complemented
76#2799C2212yescomplemented
77#2798C2212yescomplemented
78#2797C2212yescomplemented
79#2796C2212yes—
80#2793C2212yescomplemented
81#2789C2212yescomplemented
82#2788C2212yescomplemented
83#2786C2212yes—
84#2786C2212yescomplemented
85#2784C2211yescharacteristic
86#2784C2212yescomplemented
87#2784C2212yescomplemented
88#2783C2212yescomplemented
89#2780C2212yescomplemented
90#2779C2212yes—
91#2779C2212yescomplemented
92#2778C2212yes—
93#2778C2212yes—
94#2777C2212yescomplemented
95#2775C2212yescomplemented
96#2773C2212yescomplemented
97#2772C2212yescomplemented
98#2770C2212yescomplemented
99#2763C2212yescomplemented
100#2763C2212yescomplemented
101#2762C2212yescomplemented
102#2762C2212yescomplemented
103#2761C2212yescomplemented
104#2759C2212yescomplemented
105#2759C2212yescomplemented
106#2758C2212yescomplemented
107#2757C2212yes—
108#2756C2212yes—
109#2756C2212yescomplemented
110#2754C2212yescomplemented
111#2754C2212yescomplemented
112#2754C2212yescomplemented
113#2754C2212yescomplemented
114#2751C2212yes—
115#2751C2212yescomplemented
116#2750C2212yescomplemented
117#2749C2212yes—
118#2746C2212yescomplemented
119#2745C2212yescomplemented
120#2743C2212yes—
121#2742C2212yescomplemented
122#2742C2212yescomplemented
123#2742C2212yescomplemented
124#2738C2212yescomplemented
125#2737C2212yes—
126#2737C2212yes—
127#2736C2212yescomplemented
128#2735C2212yescomplemented
129#2733C2211yescharacteristic
130#2732C2212yes—
131#2730C2212yes—
132#2730C2212yes—
133#2730C2212yes—
134#2730C2212yes—
135#2728C2212yes—
136#2728C2211yescharacteristic
137#2728C2211yescharacteristic, complemented
138#2727C2212yes—
139#2725C2212yescomplemented
140#2723C2212yes—
141#2723C2212yes—
142#2723C2212yescomplemented
143#2722C2212yescomplemented
144#2721C2212yescomplemented
145#2719C2212yescomplemented
146#2718C2212yes—
147#2717C2212yescomplemented
148#2716C2212yescomplemented
149#2716C2212yescomplemented
150#2715C2212yes—
151#2714C2212yes—
152#2712C2212yes—
153#2712C2212yes—
154#2712C2212yescomplemented
155#2711C2212yes—
156#2711C2212yescomplemented
157#2710C2212yes—
158#2710C2212yes—
159#2710C2212yescomplemented
160#2708C2212yes—
161#2707C2212yescomplemented
162#2706C2212yes—
163#2706C2212yes—
164#2706C2212yescomplemented
165#2705C2212yes—
166#2705C2212yescomplemented
167#2705C2212yescomplemented
168#2704C2212yescomplemented
169#2704C2212yescomplemented
170#2703C2212yes—
171#2702C2212yes—
172#2702C2212yescomplemented
173#2700C2212yescomplemented
174#2698C2212yescomplemented
175#2698C2212yescomplemented
176#2696C2212yes—
177#2696C2212yes—
178#2696C2212yescomplemented
179#2695C2212yescomplemented
180#2695C2212yescomplemented
181#2694C2212yescomplemented
182#2694C2212yescomplemented
183#2692C2212yes—
184#2692C2212yescomplemented
185#2692C2212yescomplemented
186#2691C2212yescomplemented
187#2690C2212yescomplemented
188#2690C2212yescomplemented
189#2689C2212yescomplemented
190#2685C2212yes—
191#2685C2212yes—
192#2685C2212yes—
193#2684C2212yes—
194#2682C2212yes—
195#2680C2212yescomplemented
196#2679C2211yescharacteristic
197#2678C2212yes—
198#2678C2212yes—
199#2678C2212yescomplemented
200#2678C2212yescomplemented
201#2674C2212yescomplemented
202#2674C2212yescomplemented
203#2672C2212yes—
204#2672C2212yescomplemented
205#2670C2212yes—
206#2670C2212yes—
207#2670C2212yes—
208#2668C2212yes—
209#2668C2212yescomplemented
210#2667C2211yescharacteristic, complemented
211#2666C2212yescomplemented
212#2665C2212yescomplemented
213#2665C2211yescharacteristic, complemented
214#2662C2212yes—
215#2661C2212yes—
216#2653C2212yescomplemented
217#2649C2212yes—
218#2648C2212yes—
219#2648C2212yes—
220#2638C2212yescomplemented
221#2637C2212yescomplemented
222#2635C2212yes—
223#2632C2212yescomplemented
224#2628C2212yescomplemented
225#2626C2212yescomplemented
226#2621C2212yescomplemented
227#2617C2212yes—
228#2616C2211yescharacteristic
229#2615C2211yescharacteristic
230#2610C2212yes—
231#2610C2212yescomplemented
232#2609C2212yes—
233#2609C2212yes—
234#2604C2212yescomplemented
235#2604C2212yescomplemented
236#2604C2212yescomplemented
237#2604C2212yescomplemented
238#2601C2212yescomplemented
239#2601C2212yescomplemented
240#2595C2212yes—
241#2594C2212yescomplemented
242#2592C2212yes—
243#2592C2212yescomplemented
244#2591C2211yescharacteristic
245#2587C2212yescomplemented
246#2584C2212yescomplemented
247#2583C2211yescharacteristic, complemented
248#2580C2212yes—
249#2577C2212yescomplemented
250#2572C2211yescharacteristic
251#2560C2212yes—
252#2559C2212yes—
253#2558C2212yescomplemented
254#2557C2212yescomplemented
255#2556C2212yescomplemented
256#2555C2211yescharacteristic
257#2554C2212yes—
258#2531C2212yes—
259#2530C2212yescomplemented
260#2529C2212yescomplemented
261#2527C2212yescomplemented
262#2527C2212yescomplemented
263#2526C2212yescomplemented
264#2523C2212yescomplemented
265#2522C2212yescomplemented
266#2521C2212yes—
267#2521C2212yes—
268#2520C2212yescomplemented
269#2516C2212yescomplemented
270#2510C2212yescomplemented
271#2510C2212yescomplemented
272#2505C2212yescomplemented
273#2505C2212yescomplemented
274#2498C2212yescomplemented
275#2498C2212yescomplemented
276#2498C2212yescomplemented
277#2498C2212yescomplemented
278#2488C2212yescomplemented
279#2488C2212yescomplemented
280#2485C2212yescomplemented
281#2482C2212yescomplemented
282#2480C2212yescomplemented
283#2480C2212yescomplemented
284#2479C2212yescomplemented
285#2479C2212yescomplemented
286#2477C2212yescomplemented
287#2477C2212yescomplemented
288#2474C2212yes—
289#2474C2212yes—
290#2472C2212yes—
291#2472C2212yes—
292#2472C2212yescomplemented
293#2472C2212yescomplemented
294#2471C2212yes—
295#2471C2212yes—
296#2471C2212yescomplemented
297#2471C2212yescomplemented
298#2470C2212yescomplemented
299#2470C2212yescomplemented
300#2469C2212yescomplemented
301#2469C2212yescomplemented
302#2467C2212yes—
303#2467C2212yes—
304#2466C2212yescomplemented
305#2465C2212yescomplemented
306#2465C2212yescomplemented
307#2465C2212yescomplemented
308#2462C2212yescomplemented
309#2462C2212yescomplemented
310#2460C2212yes—
311#2459C2212yes—
312#2458C2212yes—
313#2458C2212yescomplemented
314#2458C2212yescomplemented
315#2457C2212yes—
316#2456C2212yes—
317#2456C2212yes—
318#2452C2212yescomplemented
319#2451C2212yescomplemented
320#2450C2212yescomplemented
321#2450C2212yescomplemented
322#2448C2212yes—
323#2448C2212yes—
324#2448C2212yescomplemented
325#2446C2212yescomplemented
326#2446C2212yescomplemented
327#2444C2212yes—
328#2439C2212yescomplemented
329#2439C2212yescomplemented
330#2437C2212yescomplemented
331#2436C2212yescomplemented
332#2430C2212yes—
333#2430C2212yescomplemented
334#2430C2212yescomplemented
335#2427C2212yescomplemented
336#2426C2212yes—
337#2425C2212yes—
338#2423C2212yescomplemented
339#2423C2212yescomplemented
340#2421C2212yescomplemented
341#2421C2212yescomplemented
342#2421C2212yescomplemented
343#2419C2212yescomplemented
344#2418C2212yes—
345#2418C2212yescomplemented
346#2418C2212yescomplemented
347#2415C2212yes—
348#2414C2212yes—
349#2412C2212yes—
350#2409C2212yescomplemented
351#2407C2212yes—
352#2406C2211yescharacteristic
353#2406C2211yescharacteristic, complemented
354#2404C2212yes—
355#2404C2212yes—
356#2379C2212yescomplemented
357#2378C2211yescharacteristic, complemented
358#2378C2212yescomplemented
359#2378C2212yescomplemented
360#2377C2211yescharacteristic
361#2377C2212yescomplemented
362#2375C2212yescomplemented
363#2341C2211yescharacteristic
364#2341C2211yescharacteristic, complemented
365#2337C2212yescomplemented
366#2334C2212yescomplemented
367#2329C2212yescomplemented
368#2324C2212yescomplemented
369#2323C2212yescomplemented
370#2321C2212yes—
371#2316C2211yescharacteristic, complemented
372#2311C2211yescharacteristic
373C4×#124C2212yescomplemented
374#2297C2211yescharacteristic
375#2295C2212yescomplemented
376C2×#391C2211yescharacteristic, complemented
377#2293C2212yescomplemented
378#2285C2211yescharacteristic, complemented
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C22×#41C2311yescharacteristic
382C23×Q8C2311yescharacteristic
383#551—48no—
384#542—48no—
385#536—44no—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445#519—44no—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2312yes—
469C22×C42C2311yescharacteristic
470#401C2312yes—
471#401C2312yes—
472#401C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2311yescharacteristic
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2311yescharacteristic
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#398C2312yes—
521#398C2311yescharacteristic
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2311yescharacteristic
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
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#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#395C2312yes—
613#395C2311yescharacteristic
614#395C2312yes—
615#395C2312yes—
616#395C2311yescharacteristic
617#395C2311yescharacteristic
618#395C2311yescharacteristic
619#395C2312yes—
620#395C2312yes—
621#395C2311yescharacteristic
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2311yescharacteristic
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2311yescharacteristic
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2311yescharacteristic
651#394C2311yescharacteristic
652#394C2312yes—
653#394C2312yes—
654#394C2311yescharacteristic
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2311yescharacteristic
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#394C2311yescharacteristic
676#394C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#391C2312yes—
719#391C2311yescharacteristic
720#391C2311yescharacteristic
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2312yes—
741#391C2311yescharacteristic
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#390C2312yes—
749#390C2311yescharacteristic
750#390C2311yescharacteristic
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
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#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#384C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#381C2312yes—
1041#381C2311yescharacteristic
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2311yescharacteristic
1046#381C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#379C2312yes—
1070#379C2312yes—
1071#379C2312yes—
1072#379C2312yes—
1073#379C2312yes—
1074#379C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2311yescharacteristic
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C43C2312yes—
1102C25C2412yes—
1103C2×#41—42no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C2×#41—42no—
1108C2×#41—82no—
1109C2×#41—82no—
1110C22×Q8—24no—
1111C22×Q8—42no—
1112C22×Q8—42no—
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2412yes—
1120C22×Q8C2412yes—
1121C22×Q8C2412yes—
1122C22×Q8C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2411yescharacteristic
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2411yescharacteristic
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2411yescharacteristic
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C4⋊Q8—44no—
1155C4⋊Q8—44no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—82no—
1162#126—82no—
1163#126—82no—
1164#125—82no—
1165#125—82no—
1166#125—82no—
1167#124—28no—
1168#124—44no—
1169#124—44no—
1170#124—44no—
1171#124—44no—
1172#124—44no—
1173#124—82no—
1174#124—82no—
1175#124—82no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—82no—
1184#123—82no—
1185#123—82no—
1186#123—82no—
1187C22⋊Q8—28no—
1188C22⋊Q8—28no—
1189C22⋊Q8—42no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200#121—44no—
1201#121—44no—
1202#121—44no—
1203#121—42no—
1204#121—82no—
1205#121—82no—
1206#121—82no—
1207#120—44no—
1208#120—44no—
1209#120—44no—
1210#120—82no—
1211#120—82no—
1212#120—82no—
1213C4×Q8—28no—
1214C4×Q8—44no—
1215C4×Q8—44no—
1216C4×Q8—44no—
1217C4×Q8—82no—
1218C4×Q8—82no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—82no—
1224#117—44no—
1225#117—42no—
1226#117—44no—
1227#117—44no—
1228#117—44no—
1229#117—44no—
1230#117—42no—
1231#117—42no—
1232C2×C4⋊C4—42no—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—44no—
1309C2×C22⋊C4—44no—
1310C2×C22⋊C4—82no—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1333C2×C22⋊C4C2411yescharacteristic
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2411yescharacteristic
1336C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C42—42no—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2412yes—
1417C2×C42C2411yescharacteristic
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434#95C2412yes—
1435#95C2412yes—
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#95C2411yescharacteristic
1455#95C2411yescharacteristic
1456#95C2411yescharacteristic
1457#95C2412yes—
1458#95C2411yescharacteristic
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#95C2411yescharacteristic
1514#95C2412yes—
1515#95C2412yes—
1516#95C2411yescharacteristic
1517#95C2411yescharacteristic
1518#95C2412yes—
1519#95C2411yescharacteristic
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538C24—42no—
1539C24—42no—
1540C24—42no—
1541C24—42no—
1542C24—42no—
1543C24—42no—
1544C24—42no—
1545C24C2512yes—
1546C24C2512yes—
1547C24C2512yes—
1548C24C2512yes—
1549C24C2511yescharacteristic
1550#41—88no—
1551#41—88no—
1552#41—88no—
1553C2×Q8—22no—
1554C2×Q8—24no—
1555C2×Q8—24no—
1556C2×Q8—22no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×Q8—42no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—41no—
1566C2×Q8—41no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—416no—
1580C2×Q8H(5,𝔽2)14yes—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—22no—
1587C2×D4—42no—
1588C2×D4—42no—
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—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4—41no—
1610C2×D4—42no—
1611C2×D4—41no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—41no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C22×C4—22no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—24no—
1633C22×C4—22no—
1634C22×C4—22no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—24no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
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—42no—
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×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2511yescharacteristic
1674C22×C4C2511yescharacteristic
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
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×C4C2511yescharacteristic
1698C22×C4C2511yescharacteristic
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—41no—
1710C4⋊C4—41no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
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—42no—
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—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—41no—
1811C22⋊C4—42no—
1812C22⋊C4—41no—
1813C22⋊C4—42no—
1814C22⋊C4—41no—
1815C22⋊C4—41no—
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—
1870C42—24no—
1871C42—24no—
1872C42—24no—
1873C42—24no—
1874C42—24no—
1875C42—41no—
1876C42—41no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—41no—
1882C42—41no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C23—21no—
1897C23—21no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
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—22no—
1928C23—84no—
1929C23—84no—
1930C23—84no—
1931C23—162no—
1932C23—162no—
1933C23—162no—
1934C23—162no—
1935C23#58512yes—
1936C23C2611yescharacteristic
1937Q8—44no—
1938Q8—48no—
1939Q8—44no—
1940Q8—44no—
1941Q8—44no—
1942Q8—82no—
1943Q8—161no—
1944Q8—162no—
1945Q8—162no—
1946Q8—162no—
1947D4—84no—
1948D4—82no—
1949D4—84no—
1950D4—84no—
1951D4—84no—
1952D4—84no—
1953D4—84no—
1954D4—84no—
1955D4—84no—
1956D4—82no—
1957D4—82no—
1958D4—161no—
1959D4—162no—
1960D4—162no—
1961D4—162no—
1962D4—162no—
1963D4—162no—
1964C2×C4—28no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
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—21no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—21no—
2003C2×C4—21no—
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—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—48no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—82no—
2053C2×C4—84no—
2054C2×C4—84no—
2055C2×C4—84no—
2056C2×C4—84no—
2057C2×C4—84no—
2058C2×C4—162no—
2059C2×C4—162no—
2060C2×C4—162no—
2061C2×C4C2×H(5,𝔽2)14yes—
2062C2×C4C2×H(5,𝔽2)12yes—
2063C2×C4#58512yes—
2064C22—22no—
2065C22—22no—
2066C22—22no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
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—168no—
2098C22C22×H(5,𝔽2)11yescharacteristic
2099C22C2×#58511yescharacteristic
2100C22C2×#58511yescharacteristic
2101C22H(7,𝔽2)12yes—
2102C222−1+612yes—
2103C4—22no—
2104C4—22no—
2105C4—24no—
2106C4—41no—
2107C4—41no—
2108C4—42no—
2109C4—41no—
2110C4—42no—
2111C4—41no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C2—42no—
2134C2—82no—
2135C2—82no—
2136C2—82no—
2137C2—82no—
2138C2#6282011yescharacteristic
2139C2#6288212yes—
2140C2#6304611yescharacteristic
2141C2#6305212yes—
2142C2#6306411yescharacteristic
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. #58144C2semidirect
2. #58088C2semidirect
3. #58075C2semidirect
4. #58041C2semidirect
5. #58038C2semidirect
6. #57112C2semidirect
7. #57018C2semidirect
8. #57015C2semidirect
9. #54120C2semidirect
10. #54086C2semidirect
11. #53682C2semidirect
12. #53532C2semidirect
13. #51891C2semidirect
14. #51534C2semidirect
15. #51524C2semidirect
16. #50100C2semidirect
17. #50008C2semidirect
18. #49594C2semidirect
19. #49592C2semidirect
20. #47176C2semidirect
21. #47170C2semidirect
22. #47113C2semidirect
23. #47099C2semidirect
24. #46349C2semidirect
25. #46308C2semidirect
26. #46291C2semidirect
27. #46099C2semidirect
28. #45949C2semidirect
29. #45832C2semidirect
30. #45816C2semidirect
31. #37239C2semidirect
32. #37096C2semidirect
33. #37038C2semidirect
34. #35675C2semidirect
35. #35673C2semidirect
36. C2×#551C22semidirect
39. C2×#519C22semidirect
40. #2865C22semidirect
41. #2863C22semidirect
43. #2861C22semidirect
44. #2852C22semidirect
45. #2850C22semidirect
46. #2838C22semidirect
47. #2838C22semidirect
48. #2838C22semidirect
51. #2836C22semidirect
52. #2833C22semidirect
57. #2832C22semidirect
58. #2832C22semidirect
59. #2831C22semidirect
62. #2830C22semidirect
66. #2811C22semidirect
67. #2811C22semidirect
68. #2810C22semidirect
70. #2807C22semidirect
71. #2805C22semidirect
72. #2804C22semidirect
73. #2803C22semidirect
75. #2799C22semidirect
76. #2799C22semidirect
77. #2798C22semidirect
78. #2797C22semidirect
80. #2793C22semidirect
81. #2789C22semidirect
82. #2788C22semidirect
84. #2786C22semidirect
86. #2784C22semidirect
87. #2784C22semidirect
88. #2783C22semidirect
89. #2780C22semidirect
91. #2779C22semidirect
94. #2777C22semidirect
95. #2775C22semidirect
96. #2773C22semidirect
97. #2772C22semidirect
98. #2770C22semidirect
99. #2763C22semidirect
100. #2763C22semidirect
101. #2762C22semidirect
102. #2762C22semidirect
103. #2761C22semidirect
104. #2759C22semidirect
105. #2759C22semidirect
106. #2758C22semidirect
109. #2756C22semidirect
110. #2754C22semidirect
111. #2754C22semidirect
112. #2754C22semidirect
113. #2754C22semidirect
115. #2751C22semidirect
116. #2750C22semidirect
118. #2746C22semidirect
119. #2745C22semidirect
121. #2742C22semidirect
122. #2742C22semidirect
123. #2742C22semidirect
124. #2738C22semidirect
127. #2736C22semidirect
128. #2735C22semidirect
137. #2728C22semidirect
139. #2725C22semidirect
142. #2723C22semidirect
143. #2722C22semidirect
144. #2721C22semidirect
145. #2719C22semidirect
147. #2717C22semidirect
148. #2716C22semidirect
149. #2716C22semidirect
154. #2712C22semidirect
156. #2711C22semidirect
159. #2710C22semidirect
161. #2707C22semidirect
164. #2706C22semidirect
166. #2705C22semidirect
167. #2705C22semidirect
168. #2704C22semidirect
169. #2704C22semidirect
172. #2702C22semidirect
173. #2700C22semidirect
174. #2698C22semidirect
175. #2698C22semidirect
178. #2696C22semidirect
179. #2695C22semidirect
180. #2695C22semidirect
181. #2694C22semidirect
182. #2694C22semidirect
184. #2692C22semidirect
185. #2692C22semidirect
186. #2691C22semidirect
187. #2690C22semidirect
188. #2690C22semidirect
189. #2689C22semidirect
195. #2680C22semidirect
199. #2678C22semidirect
200. #2678C22semidirect
201. #2674C22semidirect
202. #2674C22semidirect
204. #2672C22semidirect
209. #2668C22semidirect
210. #2667C22semidirect
211. #2666C22semidirect
212. #2665C22semidirect
213. #2665C22semidirect
216. #2653C22semidirect
220. #2638C22semidirect
221. #2637C22semidirect
223. #2632C22semidirect
224. #2628C22semidirect
225. #2626C22semidirect
226. #2621C22semidirect
231. #2610C22semidirect
234. #2604C22semidirect
235. #2604C22semidirect
236. #2604C22semidirect
237. #2604C22semidirect
238. #2601C22semidirect
239. #2601C22semidirect
241. #2594C22semidirect
243. #2592C22semidirect
245. #2587C22semidirect
246. #2584C22semidirect
247. #2583C22semidirect
249. #2577C22semidirect
253. #2558C22semidirect
254. #2557C22semidirect
255. #2556C22semidirect
259. #2530C22semidirect
260. #2529C22semidirect
261. #2527C22semidirect
262. #2527C22semidirect
263. #2526C22semidirect
264. #2523C22semidirect
265. #2522C22semidirect
268. #2520C22semidirect
269. #2516C22semidirect
270. #2510C22semidirect
271. #2510C22semidirect
272. #2505C22semidirect
273. #2505C22semidirect
274. #2498C22semidirect
275. #2498C22semidirect
276. #2498C22semidirect
277. #2498C22semidirect
278. #2488C22semidirect
279. #2488C22semidirect
280. #2485C22semidirect
281. #2482C22semidirect
282. #2480C22semidirect
283. #2480C22semidirect
284. #2479C22semidirect
285. #2479C22semidirect
286. #2477C22semidirect
287. #2477C22semidirect
292. #2472C22semidirect
293. #2472C22semidirect
296. #2471C22semidirect
297. #2471C22semidirect
298. #2470C22semidirect
299. #2470C22semidirect
300. #2469C22semidirect
301. #2469C22semidirect
304. #2466C22semidirect
305. #2465C22semidirect
306. #2465C22semidirect
307. #2465C22semidirect
308. #2462C22semidirect
309. #2462C22semidirect
313. #2458C22semidirect
314. #2458C22semidirect
318. #2452C22semidirect
319. #2451C22semidirect
320. #2450C22semidirect
321. #2450C22semidirect
324. #2448C22semidirect
325. #2446C22semidirect
326. #2446C22semidirect
328. #2439C22semidirect
329. #2439C22semidirect
330. #2437C22semidirect
331. #2436C22semidirect
333. #2430C22semidirect
334. #2430C22semidirect
335. #2427C22semidirect
338. #2423C22semidirect
339. #2423C22semidirect
340. #2421C22semidirect
341. #2421C22semidirect
342. #2421C22semidirect
343. #2419C22semidirect
345. #2418C22semidirect
346. #2418C22semidirect
350. #2409C22semidirect
353. #2406C22semidirect
356. #2379C22semidirect
357. #2378C22semidirect
358. #2378C22semidirect
359. #2378C22semidirect
361. #2377C22semidirect
362. #2375C22semidirect
364. #2341C22semidirect
365. #2337C22semidirect
366. #2334C22semidirect
367. #2329C22semidirect
368. #2324C22semidirect
369. #2323C22semidirect
371. #2316C22semidirect
373. C4×#124C22semidirect
375. #2295C22semidirect
376. C2×#391C22semidirect
377. #2293C22semidirect
378. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#581442
#580882
#580752
#580412
#580382
#571122
#570182
#570152
#541202
#540862
#536822
#535322
#518912
#515342
#515242
#501002
#500082
#495942
#495922
#471762
#471702
#471132
#470992
#463492
#463082
#462912
#460992
#459492
#458322
#458162
#372392
#370962
#370382
#356752
#356732