Finite Group Databasebeta

← #8924664

Subgroups — #8924664

Order 512.

4684 conjugacy classes of subgroups.

The subgroup lattice has 2200 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59990C212yesmaximal, complemented
2#59135C211yesmaximal, characteristic, complemented
3#57175C212yesmaximal, complemented
4#57108C212yesmaximal, complemented
5#56743C212yesmaximal, complemented
6#56627C212yesmaximal, complemented
7#55172C212yesmaximal, complemented
8#55166C212yesmaximal, complemented
9#52083C211yesmaximal, characteristic, complemented
10#51996C212yesmaximal, complemented
11#51746C212yesmaximal, complemented
12#51682C212yesmaximal, complemented
13#51590C212yesmaximal, complemented
14#51531C211yesmaximal, characteristic, complemented
15#51482C212yesmaximal, complemented
16#51480C212yesmaximal, complemented
17#50544C212yesmaximal, complemented
18#50322C212yesmaximal, complemented
19#49609C212yesmaximal, complemented
20#48892C212yesmaximal, complemented
21#48746C212yesmaximal, complemented
22#47670C212yesmaximal, complemented
23#47542C212yesmaximal, complemented
24#46456C211yesmaximal, characteristic, complemented
25#46455C211yesmaximal, characteristic, complemented
26#46325C211yesmaximal, characteristic, complemented
27#45789C212yesmaximal, complemented
28#40246C212yesmaximal, complemented
29#38846C212yesmaximal, complemented
30#38714C212yesmaximal, complemented
31#38646C212yesmaximal, complemented
32#38385C212yesmaximal, complemented
33#38050C212yesmaximal, complemented
34#35667C211yesmaximal, characteristic, complemented
35#35664C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×#562C2212yes—
38C2×#555C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×#529C2212yes—
45C2×#519C2211yescharacteristic
46#2854C2212yes—
47#2852C2212yes—
48#2850C2212yes—
49#2837C2212yes—
50#2836C2212yes—
51#2829C2212yes—
52#2829C2212yes—
53#2821C2212yes—
54#2816C2211yescharacteristic
55#2815C2211yescharacteristic
56#2814C2212yes—
57#2813C2212yes—
58#2803C2212yes—
59#2802C2212yes—
60#2799C2212yes—
61#2798C2212yes—
62#2798C2212yes—
63#2798C2212yes—
64#2794C2212yes—
65#2790C2212yes—
66#2786C2212yes—
67#2786C2212yes—
68#2784C2212yes—
69#2784C2212yes—
70#2783C2212yes—
71#2783C2212yes—
72#2783C2212yes—
73#2780C2212yes—
74#2780C2212yes—
75#2780C2212yes—
76#2779C2212yes—
77#2779C2212yes—
78#2778C2212yes—
79#2775C2212yes—
80#2773C2212yes—
81#2772C2212yes—
82#2770C2212yes—
83#2770C2212yes—
84#2768C2212yes—
85#2768C2212yes—
86#2767C2212yes—
87#2766C2212yes—
88#2758C2212yes—
89#2756C2212yes—
90#2756C2212yes—
91#2755C2212yes—
92#2751C2212yes—
93#2751C2212yes—
94#2749C2212yes—
95#2749C2212yes—
96#2749C2212yes—
97#2749C2212yes—
98#2748C2212yes—
99#2744C2212yes—
100#2743C2212yes—
101#2742C2212yes—
102#2741C2212yes—
103#2741C2212yes—
104#2739C2212yes—
105#2739C2212yes—
106#2738C2212yes—
107#2738C2212yes—
108#2734C2211yescharacteristic
109#2734C2211yescharacteristic
110#2733C2211yescharacteristic
111#2733C2211yescharacteristic
112#2731C2211yescharacteristic
113#2731C2212yes—
114#2731C2211yescharacteristic
115#2731C2211yescharacteristic
116#2731C2212yes—
117#2731C2211yescharacteristic
118#2730C2212yes—
119#2729C2212yes—
120#2728C2212yes—
121#2723C2212yes—
122#2719C2212yes—
123#2716C2212yes—
124#2716C2212yes—
125#2715C2212yes—
126#2715C2212yes—
127#2714C2212yes—
128#2714C2212yes—
129#2713C2212yes—
130#2713C2212yes—
131#2712C2212yes—
132#2710C2212yes—
133#2710C2212yes—
134#2710C2212yes—
135#2708C2212yes—
136#2708C2212yes—
137#2708C2212yes—
138#2707C2212yes—
139#2706C2212yes—
140#2705C2212yes—
141#2705C2212yes—
142#2703C2212yes—
143#2703C2212yes—
144#2702C2212yes—
145#2702C2212yes—
146#2700C2212yes—
147#2699C2212yes—
148#2696C2212yes—
149#2696C2212yes—
150#2695C2212yes—
151#2695C2212yes—
152#2693C2212yes—
153#2692C2212yes—
154#2691C2212yes—
155#2688C2212yes—
156#2686C2212yes—
157#2682C2212yes—
158#2681C2212yes—
159#2677C2212yes—
160#2676C2212yes—
161#2676C2212yes—
162#2676C2212yes—
163#2676C2212yes—
164#2675C2212yes—
165#2674C2212yes—
166#2674C2212yes—
167#2674C2212yes—
168#2673C2212yes—
169#2673C2212yes—
170#2673C2212yes—
171#2673C2212yes—
172#2672C2212yes—
173#2672C2212yes—
174#2671C2212yes—
175#2671C2212yes—
176#2671C2212yes—
177#2671C2212yes—
178#2666C2212yes—
179#2666C2212yes—
180#2663C2212yes—
181#2654C2212yes—
182#2653C2212yes—
183#2651C2212yes—
184#2651C2212yes—
185#2648C2212yes—
186#2639C2212yes—
187#2636C2212yes—
188#2635C2212yes—
189#2635C2212yes—
190#2631C2212yes—
191#2630C2212yes—
192#2629C2212yes—
193#2628C2212yes—
194#2624C2212yes—
195#2620C2212yes—
196#2612C2212yes—
197#2611C2212yes—
198#2610C2212yes—
199#2610C2212yes—
200#2609C2212yes—
201#2609C2212yes—
202#2609C2212yes—
203#2609C2212yes—
204#2608C2211yescharacteristic
205#2607C2212yes—
206#2607C2211yescharacteristic
207#2606C2212yes—
208#2603C2212yes—
209#2600C2212yes—
210#2599C2212yes—
211#2599C2212yes—
212#2598C2212yes—
213#2598C2212yes—
214#2598C2212yes—
215#2597C2212yes—
216#2594C2212yes—
217#2590C2212yes—
218#2588C2212yes—
219#2585C2212yes—
220#2580C2212yes—
221#2580C2212yes—
222#2579C2212yes—
223#2577C2212yes—
224#2573C2212yes—
225#2569C2212yes—
226#2564C2212yes—
227#2563C2212yes—
228#2560C2212yes—
229#2559C2212yes—
230#2559C2212yes—
231#2558C2212yes—
232#2557C2212yes—
233#2557C2212yes—
234#2557C2212yes—
235#2557C2212yes—
236#2557C2212yes—
237#2556C2212yes—
238#2556C2212yes—
239#2555C2212yes—
240#2554C2212yes—
241#2554C2212yes—
242#2546C2212yes—
243#2546C2212yes—
244#2545C2212yes—
245#2545C2212yes—
246#2543C2212yes—
247#2533C2212yes—
248#2533C2212yes—
249#2531C2212yes—
250#2530C2212yes—
251#2528C2212yes—
252#2527C2212yes—
253#2523C2212yes—
254#2523C2212yes—
255#2521C2212yes—
256#2521C2212yes—
257#2518C2212yes—
258#2510C2212yes—
259#2492C2212yes—
260#2492C2212yes—
261#2491C2212yes—
262#2491C2212yes—
263#2491C2212yes—
264#2490C2212yes—
265#2485C2212yes—
266#2485C2212yes—
267#2481C2212yes—
268#2481C2212yes—
269#2479C2212yes—
270#2479C2212yes—
271#2479C2212yes—
272#2479C2212yes—
273#2478C2212yes—
274#2478C2212yes—
275#2477C2212yes—
276#2477C2212yes—
277#2477C2212yes—
278#2476C2212yes—
279#2475C2212yes—
280#2475C2212yes—
281#2475C2212yes—
282#2473C2212yes—
283#2471C2212yes—
284#2471C2212yes—
285#2471C2212yes—
286#2471C2212yes—
287#2471C2212yes—
288#2471C2212yes—
289#2471C2212yes—
290#2471C2212yes—
291#2470C2212yes—
292#2470C2212yes—
293#2470C2212yes—
294#2469C2212yes—
295#2469C2212yes—
296#2466C2212yes—
297#2464C2212yes—
298#2464C2212yes—
299#2464C2212yes—
300#2460C2212yes—
301#2458C2212yes—
302#2458C2212yes—
303#2457C2212yes—
304#2457C2212yes—
305#2456C2212yes—
306#2453C2212yes—
307#2450C2212yes—
308#2449C2212yes—
309#2449C2212yes—
310#2448C2212yes—
311#2445C2212yes—
312#2443C2212yes—
313#2441C2212yes—
314#2439C2212yes—
315#2439C2212yes—
316#2438C2212yes—
317#2438C2212yes—
318#2436C2212yes—
319#2436C2211yescharacteristic
320#2436C2211yescharacteristic
321#2436C2211yescharacteristic
322#2434C2211yescharacteristic
323#2431C2212yes—
324#2430C2212yes—
325#2429C2212yes—
326#2429C2212yes—
327#2429C2212yes—
328#2429C2212yes—
329#2426C2212yes—
330#2425C2212yes—
331#2423C2212yes—
332#2416C2212yes—
333#2416C2212yes—
334#2416C2212yes—
335#2414C2212yes—
336#2414C2212yes—
337#2413C2212yes—
338#2413C2212yes—
339#2413C2212yes—
340#2413C2212yes—
341#2413C2212yes—
342#2409C2212yes—
343#2381C2211yescharacteristic
344#2381C2211yescharacteristic
345#2379C2211yescharacteristic
346#2378C2212yes—
347#2376C2212yes—
348#2373C2212yes—
349#2373C2212yes—
350#2369C2211yescharacteristic
351#2368C2212yes—
352#2359C2212yes—
353#2352C2212yes—
354#2352C2212yes—
355#2352C2212yes—
356#2347C2212yes—
357#2343C2212yes—
358#2335C2212yes—
359#2333C2211yescharacteristic
360#2333C2211yescharacteristic
361#2333C2211yescharacteristic
362#2332C2211yescharacteristic
363#2328C2212yes—
364#2326C2212yes—
365#2325C2212yes—
366#2324C2212yes—
367#2324C2212yes—
368#2324C2212yes—
369#2320C2212yes—
370#2316C2212yes—
371#2310C2211yescharacteristic
372C4×C22⋊Q8C2212yes—
373C4×#121C2212yes—
374#2297C2211yescharacteristic
375#2296C2211yescharacteristic
376#2296C2212yes—
377#2290C2212yes—
378#2290C2212yes—
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C23×Q8C2311yescharacteristic
382#563—44no—
383#562—48no—
384#555—44no—
385#555—44no—
386#555—44no—
387#536—44no—
388#536—44no—
389C2×C4⋊Q8—44no—
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2311yescharacteristic
393C2×C4⋊Q8C2311yescharacteristic
394C2×C4⋊Q8C2311yescharacteristic
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2311yescharacteristic
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2311yescharacteristic
401C2×#127C2312yes—
402#529—48no—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#124C2312yes—
413C2×#124C2311yescharacteristic
414C2×#124C2312yes—
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2311yescharacteristic
418C2×#124C2311yescharacteristic
419C2×#124C2312yes—
420C2×#124C2311yescharacteristic
421C2×#124C2311yescharacteristic
422C2×#124C2312yes—
423C2×#124C2311yescharacteristic
424C2×#124C2311yescharacteristic
425C2×#124C2311yescharacteristic
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2311yescharacteristic
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121C2311yescharacteristic
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2311yescharacteristic
457C2×#121C2311yescharacteristic
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470#519—44no—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503#401C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
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#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
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#396C2312yes—
632#396C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#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#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#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
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#392C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2311yescharacteristic
729#391C2312yes—
730#391C2311yescharacteristic
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2311yescharacteristic
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2311yescharacteristic
739#391C2311yescharacteristic
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
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#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
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#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#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#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#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#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
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#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
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#385C2312yes—
1029#384C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#381C2311yescharacteristic
1043#381C2311yescharacteristic
1044#381C2311yescharacteristic
1045#381C2311yescharacteristic
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
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#380C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2311yescharacteristic
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2311yescharacteristic
1091C4×C22⋊C4C2311yescharacteristic
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103#376C2312yes—
1104#376C2312yes—
1105#376C2312yes—
1106C2×#95C2312yes—
1107C2×#95C2312yes—
1108C2×#41—42no—
1109C2×#41—42no—
1110C2×#41—42no—
1111C22×Q8—24no—
1112C22×Q8—42no—
1113C22×Q8—42no—
1114C22×Q8—42no—
1115C22×Q8—42no—
1116C22×Q8—42no—
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2411yescharacteristic
1122C22×Q8C2411yescharacteristic
1123C22×Q8C2411yescharacteristic
1124C22×Q8C2411yescharacteristic
1125C22×Q8C2412yes—
1126C22×Q8C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2411yescharacteristic
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2411yescharacteristic
1140C22×D4C2411yescharacteristic
1141C22×D4C2412yes—
1142C22×D4C2411yescharacteristic
1143C22×D4C2412yes—
1144C22×D4C2412yes—
1145C22×D4C2412yes—
1146C22×D4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2411yescharacteristic
1151C23×C4C2411yescharacteristic
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C4⋊Q8—24no—
1165C4⋊Q8—24no—
1166C4⋊Q8—24no—
1167C4⋊Q8—42no—
1168C4⋊Q8—42no—
1169C4⋊Q8—42no—
1170C4⋊Q8—44no—
1171C4⋊Q8—44no—
1172C4⋊Q8—44no—
1173C4⋊Q8—42no—
1174C4⋊Q8—42no—
1175#127—44no—
1176#126—44no—
1177#126—44no—
1178#126—44no—
1179#126—44no—
1180#126—44no—
1181#126—44no—
1182#125—44no—
1183#125—44no—
1184#125—44no—
1185#124—28no—
1186#124—24no—
1187#124—44no—
1188#124—44no—
1189#124—42no—
1190#124—44no—
1191#124—44no—
1192#124—42no—
1193#124—42no—
1194#124—44no—
1195#124—42no—
1196#124—42no—
1197#124—42no—
1198#124—42no—
1199#123—44no—
1200#123—44no—
1201#123—44no—
1202#123—44no—
1203#123—44no—
1204#123—44no—
1205#123—44no—
1206#123—44no—
1207#123—44no—
1208#123—44no—
1209#123—44no—
1210#123—44no—
1211#123—44no—
1212#123—44no—
1213C22⋊Q8—28no—
1214C22⋊Q8—28no—
1215C22⋊Q8—42no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224#121—44no—
1225#121—44no—
1226#121—44no—
1227#121—44no—
1228#121—44no—
1229#121—44no—
1230#121—44no—
1231#121—44no—
1232#121—44no—
1233#121—44no—
1234#121—44no—
1235#121—44no—
1236#121—44no—
1237#121—44no—
1238#121—44no—
1239#121—44no—
1240#121—42no—
1241#121—42no—
1242#121—42no—
1243C4×Q8—28no—
1244C4×Q8—44no—
1245C4×Q8—44no—
1246C4×Q8—44no—
1247C4×D4—28no—
1248C4×D4—44no—
1249C4×D4—44no—
1250C4×D4—44no—
1251C4×D4—44no—
1252C4×D4—44no—
1253C4×D4—44no—
1254C4×D4—44no—
1255C4×D4—44no—
1256#117—24no—
1257#117—28no—
1258#117—44no—
1259#117—44no—
1260#117—44no—
1261#117—44no—
1262#117—44no—
1263#117—44no—
1264#117—44no—
1265#117—44no—
1266#117—42no—
1267#117—42no—
1268#117—44no—
1269#117—44no—
1270C2×C4⋊C4—44no—
1271C2×C4⋊C4—44no—
1272C2×C4⋊C4—44no—
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⋊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×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊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⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C42—44no—
1442C2×C42—42no—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2411yescharacteristic
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453C2×C42C2411yescharacteristic
1454C2×C42C2412yes—
1455C2×C42C2411yescharacteristic
1456C2×C42C2411yescharacteristic
1457C2×C42C2411yescharacteristic
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2412yes—
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
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#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—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571C24C2512yes—
1572C24C2512yes—
1573C24C2512yes—
1574C24C2512yes—
1575C24C2511yescharacteristic
1576#41—88no—
1577C2×Q8—24no—
1578C2×Q8—22no—
1579C2×Q8—24no—
1580C2×Q8—22no—
1581C2×Q8—22no—
1582C2×Q8—22no—
1583C2×Q8—22no—
1584C2×Q8—22no—
1585C2×Q8—41no—
1586C2×Q8—41no—
1587C2×Q8—41no—
1588C2×Q8—42no—
1589C2×Q8—41no—
1590C2×Q8—41no—
1591C2×Q8—41no—
1592C2×Q8—41no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—41no—
1596C2×Q8—41no—
1597C2×Q8—41no—
1598C2×Q8—41no—
1599C2×Q8—41no—
1600C2×Q8—42no—
1601C2×Q8—41no—
1602C2×Q8—42no—
1603C2×Q8—41no—
1604C2×Q8—41no—
1605C2×Q8—42no—
1606C2×Q8—416no—
1607C2×Q8—88no—
1608C2×Q8H(5,𝔽2)14yes—
1609C2×D4—24no—
1610C2×D4—24no—
1611C2×D4—24no—
1612C2×D4—24no—
1613C2×D4—24no—
1614C2×D4—24no—
1615C2×D4—22no—
1616C2×D4—24no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—41no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—41no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—41no—
1649C2×D4—41no—
1650C2×D4—41no—
1651C2×D4—42no—
1652C2×D4—41no—
1653C2×D4—41no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—41no—
1657C2×D4—41no—
1658C2×D4—42no—
1659C2×D4—41no—
1660C2×D4—41no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C22×C4—22no—
1670C22×C4—22no—
1671C22×C4—22no—
1672C22×C4—24no—
1673C22×C4—22no—
1674C22×C4—22no—
1675C22×C4—24no—
1676C22×C4—24no—
1677C22×C4—24no—
1678C22×C4—24no—
1679C22×C4—24no—
1680C22×C4—24no—
1681C22×C4—24no—
1682C22×C4—24no—
1683C22×C4—24no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C4—41no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—41no—
1706C22×C4—41no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2511yescharacteristic
1738C22×C4C2511yescharacteristic
1739C22×C4C2511yescharacteristic
1740C22×C4C2511yescharacteristic
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2511yescharacteristic
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
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—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—41no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
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—41no—
1864C22⋊C4—41no—
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—41no—
1874C22⋊C4—41no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C42—24no—
1919C42—24no—
1920C42—22no—
1921C42—22no—
1922C42—22no—
1923C42—24no—
1924C42—24no—
1925C42—24no—
1926C42—24no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—41no—
1934C42—41no—
1935C42—41no—
1936C42—41no—
1937C42—42no—
1938C42—41no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42—42no—
1944C42—41no—
1945C42—41no—
1946C42—42no—
1947C42—41no—
1948C42—42no—
1949C42H(5,𝔽2)14yes—
1950C23—21no—
1951C23—21no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23#58512yes—
1983C23C2611yescharacteristic
1984Q8—44no—
1985Q8—48no—
1986Q8—44no—
1987Q8—82no—
1988Q8—82no—
1989Q8—82no—
1990Q8—82no—
1991Q8—82no—
1992Q8—161no—
1993Q8—162no—
1994D4—84no—
1995D4—84no—
1996D4—84no—
1997D4—82no—
1998D4—84no—
1999D4—84no—
2000D4—84no—
2001D4—84no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—162no—
2006D4—162no—
2007D4—161no—
2008D4—161no—
2009D4—161no—
2010D4—162no—
2011D4—162no—
2012D4—162no—
2013D4—162no—
2014C2×C4—28no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—21no—
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—21no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—22no—
2083C2×C4—21no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—48no—
2101C2×C4—48no—
2102C2×C4—48no—
2103C2×C4—48no—
2104C2×C4—84no—
2105C2×C4—84no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—82no—
2110C2×C4—82no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—84no—
2114C2×C4—162no—
2115C2×C4—162no—
2116C2×C4C2×H(5,𝔽2)14yes—
2117C2×C4C2×H(5,𝔽2)12yes—
2118C2×C4C2×H(5,𝔽2)12yes—
2119C2×C4C2×H(5,𝔽2)14yes—
2120C2×C4#58514yes—
2121C22—22no—
2122C22—22no—
2123C22—22no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22C22×H(5,𝔽2)11yescharacteristic
2155C22C22×H(5,𝔽2)11yescharacteristic
2156C22C2×#58511yescharacteristic
2157C22C2×#58512yes—
2158C222−1+612yes—
2159C4—22no—
2160C4—22no—
2161C4—24no—
2162C4—24no—
2163C4—24no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—41no—
2171C4—41no—
2172C4—41no—
2173C4—42no—
2174C4—41no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C2—42no—
2190C2—82no—
2191C2—82no—
2192C2—82no—
2193C2—82no—
2194C2#6281811yescharacteristic
2195C2#6291912yes—
2196C2#6292512yes—
2197C2#6302811yescharacteristic
2198C2#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. #59990C2semidirect
2. #59135C2semidirect
3. #57175C2semidirect
4. #57108C2semidirect
5. #56743C2semidirect
6. #56627C2semidirect
7. #55172C2semidirect
8. #55166C2semidirect
9. #52083C2semidirect
10. #51996C2semidirect
11. #51746C2semidirect
12. #51682C2semidirect
13. #51590C2semidirect
14. #51531C2semidirect
15. #51482C2semidirect
16. #51480C2semidirect
17. #50544C2semidirect
18. #50322C2semidirect
19. #49609C2semidirect
20. #48892C2semidirect
21. #48746C2semidirect
22. #47670C2semidirect
23. #47542C2semidirect
24. #46456C2semidirect
25. #46455C2semidirect
26. #46325C2semidirect
27. #45789C2semidirect
28. #40246C2semidirect
29. #38846C2semidirect
30. #38714C2semidirect
31. #38646C2semidirect
32. #38385C2semidirect
33. #38050C2semidirect
34. #35667C2semidirect
35. #35664C2semidirect

Maximal subgroups

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

subgroupindex
#599902
#591352
#571752
#571082
#567432
#566272
#551722
#551662
#520832
#519962
#517462
#516822
#515902
#515312
#514822
#514802
#505442
#503222
#496092
#488922
#487462
#476702
#475422
#464562
#464552
#463252
#457892
#402462
#388462
#387142
#386462
#383852
#380502
#356672
#356642