Finite Group Databasebeta

← #8757619

Subgroups — #8757619

Order 512.

4746 conjugacy classes of subgroups.

The subgroup lattice has 2243 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58250C212yesmaximal, complemented
2#58145C212yesmaximal, complemented
3#57801C212yesmaximal, complemented
4#57002C212yesmaximal, complemented
5#56943C212yesmaximal, complemented
6#56578C212yesmaximal, complemented
7#55333C212yesmaximal, complemented
8#55313C212yesmaximal, complemented
9#55150C212yesmaximal, complemented
10#55107C212yesmaximal, complemented
11#54957C212yesmaximal, complemented
12#54877C212yesmaximal, complemented
13#52083C211yesmaximal, characteristic, complemented
14#52071C211yesmaximal, characteristic, complemented
15#51996C212yesmaximal, complemented
16#51898C212yesmaximal, complemented
17#51781C212yesmaximal, complemented
18#51729C212yesmaximal, complemented
19#51590C212yesmaximal, complemented
20#47589C212yesmaximal, complemented
21#47457C212yesmaximal, complemented
22#47421C212yesmaximal, complemented
23#47204C212yesmaximal, complemented
24#46762C211yesmaximal, characteristic, complemented
25#46758C211yesmaximal, characteristic, complemented
26#46422C212yesmaximal, complemented
27#46318C211yesmaximal, characteristic, complemented
28#46270C211yesmaximal, characteristic, complemented
29#46036C212yesmaximal, complemented
30#46027C212yesmaximal, complemented
31#45734C212yesmaximal, complemented
32#45609C212yesmaximal, complemented
33#45606C212yesmaximal, complemented
34#35308C211yesmaximal, characteristic, complemented
35#35156C212yesmaximal, complemented
36C2×#562C2212yes—
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#540C2212yes—
40C2×#540C2212yes—
41C2×#537C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#536C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2857C2212yes—
46#2854C2212yes—
47#2854C2212yes—
48#2853C2212yes—
49#2853C2212yes—
50#2850C2212yes—
51#2838C2212yes—
52#2837C2212yes—
53#2836C2212yes—
54#2834C2211yescharacteristic
55#2833C2211yescharacteristic
56#2832C2211yescharacteristic
57#2832C2212yes—
58#2831C2212yes—
59#2829C2212yes—
60#2829C2212yes—
61#2828C2212yes—
62#2828C2211yescharacteristic
63#2828C2211yescharacteristic
64#2827C2212yes—
65#2826C2211yescharacteristic
66#2825C2212yes—
67#2816C2212yes—
68#2815C2212yes—
69#2813C2212yes—
70#2813C2212yes—
71#2813C2212yes—
72#2809C2211yescharacteristic
73#2807C2211yescharacteristic
74#2806C2212yes—
75#2803C2212yes—
76#2798C2212yes—
77#2798C2212yes—
78#2798C2212yes—
79#2794C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2790C2212yes—
83#2788C2212yes—
84#2787C2212yes—
85#2784C2211yescharacteristic
86#2783C2212yes—
87#2783C2212yes—
88#2780C2212yes—
89#2780C2212yes—
90#2779C2212yes—
91#2779C2212yes—
92#2778C2212yes—
93#2778C2212yes—
94#2778C2212yes—
95#2777C2212yes—
96#2776C2212yes—
97#2774C2212yes—
98#2773C2212yes—
99#2770C2212yes—
100#2768C2212yes—
101#2765C2212yes—
102#2760C2212yes—
103#2755C2212yes—
104#2754C2212yes—
105#2753C2212yes—
106#2753C2212yes—
107#2752C2212yes—
108#2751C2212yes—
109#2750C2212yes—
110#2750C2212yes—
111#2746C2212yes—
112#2745C2212yes—
113#2744C2212yes—
114#2743C2212yes—
115#2740C2212yes—
116#2739C2212yes—
117#2738C2212yes—
118#2733C2212yes—
119#2733C2211yescharacteristic
120#2732C2212yes—
121#2731C2212yes—
122#2731C2212yes—
123#2730C2212yes—
124#2730C2212yes—
125#2730C2212yes—
126#2729C2212yes—
127#2728C2212yes—
128#2726C2212yes—
129#2719C2212yes—
130#2713C2212yes—
131#2711C2212yes—
132#2711C2212yes—
133#2710C2212yes—
134#2710C2212yes—
135#2710C2212yes—
136#2709C2212yes—
137#2709C2212yes—
138#2708C2212yes—
139#2708C2212yes—
140#2708C2212yes—
141#2707C2212yes—
142#2707C2212yes—
143#2706C2212yes—
144#2706C2212yes—
145#2706C2212yes—
146#2706C2212yes—
147#2706C2212yes—
148#2704C2212yes—
149#2703C2212yes—
150#2703C2212yes—
151#2703C2212yes—
152#2703C2212yes—
153#2703C2212yes—
154#2701C2212yes—
155#2701C2212yes—
156#2701C2212yes—
157#2700C2212yes—
158#2699C2212yes—
159#2699C2211yescharacteristic
160#2696C2212yes—
161#2696C2212yes—
162#2696C2212yes—
163#2694C2212yes—
164#2694C2212yes—
165#2693C2212yes—
166#2693C2211yescharacteristic
167#2692C2212yes—
168#2692C2212yes—
169#2692C2212yes—
170#2690C2212yes—
171#2688C2212yes—
172#2688C2212yes—
173#2688C2212yes—
174#2688C2212yes—
175#2687C2212yes—
176#2686C2212yes—
177#2682C2212yes—
178#2682C2212yes—
179#2681C2212yes—
180#2681C2212yes—
181#2681C2212yes—
182#2681C2212yes—
183#2681C2212yes—
184#2677C2211yescharacteristic
185#2676C2212yes—
186#2676C2212yes—
187#2676C2212yes—
188#2676C2212yes—
189#2676C2212yes—
190#2676C2212yes—
191#2676C2212yes—
192#2675C2212yes—
193#2675C2211yescharacteristic
194#2675C2212yes—
195#2675C2212yes—
196#2674C2212yes—
197#2674C2212yes—
198#2673C2212yes—
199#2673C2212yes—
200#2673C2212yes—
201#2673C2212yes—
202#2673C2212yes—
203#2673C2212yes—
204#2673C2212yes—
205#2673C2212yes—
206#2673C2212yes—
207#2672C2212yes—
208#2672C2212yes—
209#2671C2212yes—
210#2671C2212yes—
211#2671C2212yes—
212#2667C2212yes—
213#2661C2212yes—
214#2656C2212yes—
215#2655C2212yes—
216#2651C2212yes—
217#2648C2212yes—
218#2635C2212yes—
219#2635C2212yes—
220#2632C2211yescharacteristic
221#2631C2211yescharacteristic
222#2631C2211yescharacteristic
223#2631C2211yescharacteristic
224#2630C2212yes—
225#2630C2212yes—
226#2630C2212yes—
227#2629C2212yes—
228#2621C2212yes—
229#2620C2212yes—
230#2620C2212yes—
231#2618C2212yes—
232#2611C2212yes—
233#2610C2212yes—
234#2608C2212yes—
235#2602C2212yes—
236#2600C2212yes—
237#2599C2211yescharacteristic
238#2598C2211yescharacteristic
239#2598C2211yescharacteristic
240#2598C2211yescharacteristic
241#2597C2212yes—
242#2594C2212yes—
243#2594C2212yes—
244#2576C2212yes—
245#2575C2212yes—
246#2564C2212yes—
247#2563C2212yes—
248#2558C2212yes—
249#2556C2212yes—
250#2556C2212yes—
251#2555C2212yes—
252#2555C2212yes—
253#2543C2212yes—
254#2543C2212yes—
255#2541C2212yes—
256#2540C2212yes—
257#2535C2212yes—
258#2530C2212yes—
259#2528C2212yes—
260#2518C2212yes—
261#2518C2212yes—
262#2516C2212yes—
263#2516C2212yes—
264#2510C2212yes—
265#2509C2212yes—
266#2508C2212yes—
267#2505C2212yes—
268#2505C2212yes—
269#2498C2212yes—
270#2493C2212yes—
271#2491C2212yes—
272#2488C2212yes—
273#2488C2212yes—
274#2487C2212yes—
275#2485C2212yes—
276#2477C2212yes—
277#2477C2212yes—
278#2477C2212yes—
279#2476C2212yes—
280#2476C2212yes—
281#2476C2212yes—
282#2475C2212yes—
283#2475C2212yes—
284#2473C2212yes—
285#2471C2212yes—
286#2471C2212yes—
287#2470C2212yes—
288#2470C2212yes—
289#2470C2212yes—
290#2470C2212yes—
291#2464C2212yes—
292#2464C2212yes—
293#2464C2212yes—
294#2464C2212yes—
295#2464C2212yes—
296#2464C2212yes—
297#2463C2212yes—
298#2463C2211yescharacteristic
299#2461C2212yes—
300#2460C2212yes—
301#2459C2212yes—
302#2459C2212yes—
303#2458C2212yes—
304#2457C2212yes—
305#2456C2212yes—
306#2456C2212yes—
307#2456C2212yes—
308#2456C2212yes—
309#2455C2212yes—
310#2455C2212yes—
311#2455C2212yes—
312#2455C2211yescharacteristic
313#2453C2212yes—
314#2452C2212yes—
315#2450C2212yes—
316#2449C2212yes—
317#2449C2212yes—
318#2449C2212yes—
319#2445C2212yes—
320#2444C2212yes—
321#2444C2212yes—
322#2443C2212yes—
323#2443C2212yes—
324#2441C2212yes—
325#2440C2212yes—
326#2439C2212yes—
327#2438C2212yes—
328#2436C2212yes—
329#2431C2212yes—
330#2431C2212yes—
331#2430C2212yes—
332#2429C2212yes—
333#2429C2212yes—
334#2429C2212yes—
335#2428C2212yes—
336#2428C2212yes—
337#2427C2212yes—
338#2427C2212yes—
339#2426C2212yes—
340#2425C2212yes—
341#2425C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2425C2212yes—
345#2425C2212yes—
346#2425C2212yes—
347#2422C2212yes—
348#2422C2212yes—
349#2420C2212yes—
350#2419C2212yes—
351#2416C2212yes—
352#2416C2212yes—
353#2416C2212yes—
354#2414C2212yes—
355#2414C2212yes—
356#2414C2212yes—
357#2413C2212yes—
358#2413C2212yes—
359#2409C2212yes—
360#2407C2212yes—
361#2381C2211yescharacteristic
362#2381C2211yescharacteristic
363#2379C2212yes—
364#2379C2212yes—
365#2378C2212yes—
366#2377C2212yes—
367#2368C2212yes—
368#2335C2212yes—
369#2326C2212yes—
370#2325C2212yes—
371#2323C2212yes—
372#2322C2212yes—
373#2319C2212yes—
374#2317C2211yescharacteristic
375C4×#121C2212yes—
376#2297C2211yescharacteristic
377C2×#391C2211yescharacteristic
378#2290C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C23×Q8C2311yescharacteristic
382#562—48no—
383#555—44no—
384#554—44no—
385#540—48no—
386#540—48no—
387#537—44no—
388#536—44no—
389#536—44no—
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×#127C2312yes—
395C2×#127C2312yes—
396C2×#127C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2311yescharacteristic
405C2×#124C2311yescharacteristic
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×#121C2312yes—
480C4×#41—44no—
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511#401C2312yes—
512#401C2312yes—
513#401C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2311yescharacteristic
519#400C2311yescharacteristic
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2311yescharacteristic
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2311yescharacteristic
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2311yescharacteristic
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
552#399C2311yescharacteristic
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2311yescharacteristic
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
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#397C2311yescharacteristic
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
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#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2311yescharacteristic
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
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#394C2311yescharacteristic
665#394C2311yescharacteristic
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#394C2311yescharacteristic
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2311yescharacteristic
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2311yescharacteristic
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2311yescharacteristic
736#392C2311yescharacteristic
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#392C2312yes—
742#392C2312yes—
743#392C2312yes—
744#392C2312yes—
745#392C2312yes—
746#392C2312yes—
747#392C2312yes—
748#392C2312yes—
749#392C2312yes—
750#392C2312yes—
751#392C2312yes—
752#392C2312yes—
753#392C2312yes—
754#392C2312yes—
755#392C2312yes—
756#392C2312yes—
757#392C2312yes—
758#392C2312yes—
759#391C2312yes—
760#391C2311yescharacteristic
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2312yes—
765#391C2311yescharacteristic
766#391C2312yes—
767#391C2312yes—
768#391C2312yes—
769#391C2312yes—
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2311yescharacteristic
777#390C2312yes—
778#390C2312yes—
779#390C2312yes—
780#390C2312yes—
781#390C2312yes—
782#390C2312yes—
783#390C2312yes—
784#390C2312yes—
785#390C2312yes—
786#390C2312yes—
787#390C2312yes—
788#390C2312yes—
789#390C2311yescharacteristic
790#390C2312yes—
791#390C2312yes—
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#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#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#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2311yescharacteristic
1004#385C2312yes—
1005#385C2311yescharacteristic
1006#385C2311yescharacteristic
1007#385C2311yescharacteristic
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#384C2312yes—
1046#384C2312yes—
1047#383C2311yescharacteristic
1048#383C2311yescharacteristic
1049#383C2311yescharacteristic
1050#383C2311yescharacteristic
1051#382C2312yes—
1052#382C2312yes—
1053#382C2312yes—
1054#382C2312yes—
1055#382C2312yes—
1056#382C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#381C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#381C2312yes—
1064#381C2312yes—
1065#381C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078#380C2312yes—
1079#380C2312yes—
1080#380C2312yes—
1081#380C2312yes—
1082#380C2312yes—
1083#380C2312yes—
1084#380C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102#376C2312yes—
1103C2×#95C2312yes—
1104C2×#95C2312yes—
1105C2×#95C2312yes—
1106C2×#95C2312yes—
1107C2×#41—24no—
1108C2×#41—42no—
1109C2×#41—42no—
1110C2×#41—42no—
1111C2×#41—42no—
1112C2×#41—42no—
1113C22×Q8—42no—
1114C22×Q8—42no—
1115C22×Q8—42no—
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2412yes—
1122C22×Q8C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C22×D4C2411yescharacteristic
1134C22×D4C2412yes—
1135C22×D4C2411yescharacteristic
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2412yes—
1142C22×D4C2412yes—
1143C22×D4C2412yes—
1144C22×D4C2412yes—
1145C22×D4C2412yes—
1146C22×D4C2412yes—
1147C22×D4C2412yes—
1148C22×D4C2412yes—
1149C22×D4C2412yes—
1150C22×D4C2412yes—
1151C22×D4C2412yes—
1152C22×D4C2412yes—
1153C23×C4C2411yescharacteristic
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2411yescharacteristic
1164C23×C4C2411yescharacteristic
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C4⋊Q8—24no—
1174C4⋊Q8—24no—
1175C4⋊Q8—44no—
1176C4⋊Q8—82no—
1177#127—44no—
1178#127—44no—
1179#127—82no—
1180#125—44no—
1181#125—44no—
1182#125—44no—
1183#125—44no—
1184#124—28no—
1185#124—44no—
1186#124—44no—
1187#124—42no—
1188#124—42no—
1189#124—44no—
1190#124—44no—
1191#124—44no—
1192#124—82no—
1193#123—28no—
1194#123—28no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—44no—
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—82no—
1208#123—82no—
1209#123—82no—
1210#123—82no—
1211#123—82no—
1212#123—82no—
1213#123—82no—
1214#123—82no—
1215C22⋊Q8—28no—
1216C22⋊Q8—28no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—44no—
1225C22⋊Q8—44no—
1226C22⋊Q8—44no—
1227C22⋊Q8—82no—
1228C22⋊Q8—82no—
1229C22⋊Q8—82no—
1230#121—28no—
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—44no—
1241#121—44no—
1242#121—44no—
1243#121—44no—
1244#121—44no—
1245#121—44no—
1246#121—44no—
1247#121—44no—
1248#121—44no—
1249#121—44no—
1250#121—44no—
1251#121—44no—
1252#121—44no—
1253#121—82no—
1254#121—82no—
1255#121—82no—
1256#121—82no—
1257#121—82no—
1258#121—82no—
1259#121—82no—
1260#121—82no—
1261#121—82no—
1262#121—82no—
1263C4×Q8—44no—
1264C4×Q8—42no—
1265C4×D4—28no—
1266C4×D4—42no—
1267C4×D4—42no—
1268C4×D4—42no—
1269C4×D4—44no—
1270C4×D4—44no—
1271C4×D4—44no—
1272C4×D4—44no—
1273C4×D4—44no—
1274C4×D4—44no—
1275C4×D4—44no—
1276C4×D4—82no—
1277C4×D4—82no—
1278C4×D4—82no—
1279C4×D4—82no—
1280C4×D4—82no—
1281#117—24no—
1282#117—42no—
1283#117—44no—
1284#117—44no—
1285#117—44no—
1286#117—44no—
1287#117—44no—
1288C2×C4⋊C4—42no—
1289C2×C4⋊C4—44no—
1290C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
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×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1390C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2411yescharacteristic
1464C2×C42—44no—
1465C2×C42—42no—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2412yes—
1472C2×C42C2411yescharacteristic
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1540#95C2411yescharacteristic
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#95C2411yescharacteristic
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2411yescharacteristic
1572#95C2411yescharacteristic
1573#95C2411yescharacteristic
1574#95C2411yescharacteristic
1575#95C2411yescharacteristic
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579C24C2512yes—
1580C24C2512yes—
1581C24C2512yes—
1582C24C2512yes—
1583C24C2512yes—
1584C24C2511yescharacteristic
1585#41—416no—
1586#41—88no—
1587C2×Q8—22no—
1588C2×Q8—22no—
1589C2×Q8—24no—
1590C2×Q8—22no—
1591C2×Q8—41no—
1592C2×Q8—41no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—41no—
1596C2×Q8—42no—
1597C2×Q8—41no—
1598C2×Q8—42no—
1599C2×Q8—42no—
1600C2×Q8—41no—
1601C2×Q8—41no—
1602C2×Q8—41no—
1603C2×Q8—42no—
1604C2×Q8—42no—
1605C2×Q8—42no—
1606C2×Q8—88no—
1607C2×Q8H(5,𝔽2)14yes—
1608C2×D4—24no—
1609C2×D4—24no—
1610C2×D4—24no—
1611C2×D4—24no—
1612C2×D4—24no—
1613C2×D4—24no—
1614C2×D4—22no—
1615C2×D4—24no—
1616C2×D4—24no—
1617C2×D4—22no—
1618C2×D4—41no—
1619C2×D4—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—41no—
1623C2×D4—41no—
1624C2×D4—41no—
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—42no—
1642C2×D4—41no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C22×C4—22no—
1696C22×C4—22no—
1697C22×C4—22no—
1698C22×C4—24no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—24no—
1703C22×C4—24no—
1704C22×C4—24no—
1705C22×C4—24no—
1706C22×C4—24no—
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×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—41no—
1736C22×C4—41no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—42no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4C2512yes—
1754C22×C4C2511yescharacteristic
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2511yescharacteristic
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2511yescharacteristic
1775C22×C4C2511yescharacteristic
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2511yescharacteristic
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2511yescharacteristic
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—41no—
1814C4⋊C4—41no—
1815C4⋊C4—42no—
1816C4⋊C4—41no—
1817C4⋊C4—41no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C22⋊C4—22no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—42no—
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—41no—
1895C22⋊C4—41no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4H(5,𝔽2)14yes—
1955C42—24no—
1956C42—24no—
1957C42—24no—
1958C42—22no—
1959C42—22no—
1960C42—41no—
1961C42—41no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C23—21no—
1977C23—21no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23—22no—
1983C23—22no—
1984C23—22no—
1985C23—22no—
1986C23—22no—
1987C23—22no—
1988C23—22no—
1989C23—22no—
1990C23—22no—
1991C23—22no—
1992C23—22no—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23C2×H(5,𝔽2)12yes—
2016C23C2611yescharacteristic
2017Q8—44no—
2018Q8—84no—
2019Q8—82no—
2020Q8—82no—
2021Q8—82no—
2022Q8—82no—
2023Q8—162no—
2024D4—48no—
2025D4—44no—
2026D4—44no—
2027D4—84no—
2028D4—84no—
2029D4—82no—
2030D4—84no—
2031D4—84no—
2032D4—84no—
2033D4—84no—
2034D4—82no—
2035D4—84no—
2036D4—82no—
2037D4—84no—
2038D4—84no—
2039D4—84no—
2040D4—162no—
2041D4—162no—
2042D4—162no—
2043D4—162no—
2044D4—162no—
2045D4—162no—
2046D4—162no—
2047D4—162no—
2048D4—162no—
2049D4—162no—
2050D4—162no—
2051D4—162no—
2052D4—162no—
2053D4—162no—
2054C2×C4—28no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—21no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—21no—
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—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
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—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—48no—
2135C2×C4—84no—
2136C2×C4—84no—
2137C2×C4—84no—
2138C2×C4—84no—
2139C2×C4—84no—
2140C2×C4—84no—
2141C2×C4—84no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—84no—
2145C2×C4—84no—
2146C2×C4—162no—
2147C2×C4—162no—
2148C2×C4—161no—
2149C2×C4—162no—
2150C2×C4—161no—
2151C2×C4—162no—
2152C2×C4—162no—
2153C2×C4C2×H(5,𝔽2)12yes—
2154C2×C4C2×H(5,𝔽2)14yes—
2155C2×C4C2×H(5,𝔽2)14yes—
2156C2×C4#58512yes—
2157C22—24no—
2158C22—22no—
2159C22—41no—
2160C22—41no—
2161C22—42no—
2162C22—42no—
2163C22—42no—
2164C22—42no—
2165C22—42no—
2166C22—42no—
2167C22—42no—
2168C22—42no—
2169C22—42no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22C22×H(5,𝔽2)11yescharacteristic
2198C22C22×H(5,𝔽2)11yescharacteristic
2199C22C2×#58511yescharacteristic
2200C22H(7,𝔽2)12yes—
2201C222−1+612yes—
2202C4—24no—
2203C4—22no—
2204C4—22no—
2205C4—24no—
2206C4—42no—
2207C4—41no—
2208C4—41no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—41no—
2217C4—41no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—42no—
2229C4—42no—
2230C4—42no—
2231C2—42no—
2232C2—82no—
2233C2—82no—
2234C2—82no—
2235C2—82no—
2236C2—82no—
2237C2#6281811yescharacteristic
2238C2#6288412yes—
2239C2#6304411yescharacteristic
2240C2#6304912yes—
2241C2#6306611yescharacteristic
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. #58250C2semidirect
2. #58145C2semidirect
3. #57801C2semidirect
4. #57002C2semidirect
5. #56943C2semidirect
6. #56578C2semidirect
7. #55333C2semidirect
8. #55313C2semidirect
9. #55150C2semidirect
10. #55107C2semidirect
11. #54957C2semidirect
12. #54877C2semidirect
13. #52083C2semidirect
14. #52071C2semidirect
15. #51996C2semidirect
16. #51898C2semidirect
17. #51781C2semidirect
18. #51729C2semidirect
19. #51590C2semidirect
20. #47589C2semidirect
21. #47457C2semidirect
22. #47421C2semidirect
23. #47204C2semidirect
24. #46762C2semidirect
25. #46758C2semidirect
26. #46422C2semidirect
27. #46318C2semidirect
28. #46270C2semidirect
29. #46036C2semidirect
30. #46027C2semidirect
31. #45734C2semidirect
32. #45609C2semidirect
33. #45606C2semidirect
34. #35308C2semidirect
35. #35156C2semidirect

Maximal subgroups

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

subgroupindex
#582502
#581452
#578012
#570022
#569432
#565782
#553332
#553132
#551502
#551072
#549572
#548772
#520832
#520712
#519962
#518982
#517812
#517292
#515902
#475892
#474572
#474212
#472042
#467622
#467582
#464222
#463182
#462702
#460362
#460272
#457342
#456092
#456062
#353082
#351562