Finite Group Databasebeta

← #7650698

Subgroups — #7650698

Order 512.

4643 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42779C212yesmaximal, complemented
2#42745C212yesmaximal, complemented
3#42713C212yesmaximal, complemented
4#42692C212yesmaximal, complemented
5#42691C212yesmaximal, complemented
6#42594C212yesmaximal, complemented
7#42513C212yesmaximal, complemented
8#42512C212yesmaximal, complemented
9#41513C214yesmaximal, complemented
10#40694C214yesmaximal, complemented
11#40199C212yesmaximal, complemented
12#40093C212yesmaximal, complemented
13#40000C212yesmaximal, complemented
14#40000C212yesmaximal, complemented
15#39538C212yesmaximal, complemented
16#39007C212yesmaximal, complemented
17#38978C212yesmaximal, complemented
18#38977C212yesmaximal, complemented
19#38134C214yesmaximal, complemented
20#37907C214yesmaximal, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic
23#35639C211yesmaximal, characteristic, complemented
24#35628C211yesmaximal, characteristic, complemented
25#35619C211yesmaximal, characteristic, complemented
26#35544C211yesmaximal, characteristic, complemented
27#35335C211yesmaximal, characteristic, complemented
28#35311C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic
31C2×#2489C211yesmaximal, characteristic, complemented
32#34739C211yesmaximal, characteristic, complemented
33#34254C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34202C211yesmaximal, characteristic
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2859C2212yescomplemented
46#2859C2212yescomplemented
47#2855C2212yes—
48#2855C2212yes—
49#2852C2214yes—
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2831C2214yes—
53#2830C2214yes—
54#2796C2214yes—
55#2796C2214yes—
56#2777C2214yes—
57#2777C2214yescomplemented
58#2775C2214yescomplemented
59#2774C2214yescomplemented
60#2772C2214yes—
61#2772C2214yes—
62#2772C2214yescomplemented
63#2770C2214yescomplemented
64#2767C2214yescomplemented
65#2767C2214yescomplemented
66#2767C2214yescomplemented
67#2766C2214yescomplemented
68#2765C2214yes—
69#2765C2214yescomplemented
70#2764C2214yes—
71#2763C2214yescomplemented
72#2761C2214yes—
73#2759C2214yes—
74#2758C2214yescomplemented
75#2757C2214yes—
76#2755C2214yescomplemented
77#2755C2214yescomplemented
78#2754C2214yescomplemented
79#2739C2214yes—
80#2739C2214yescomplemented
81#2737C2214yes—
82#2723C2214yes—
83#2715C2214yes—
84#2715C2214yes—
85#2698C2214yes—
86#2666C2214yescomplemented
87#2665C2214yescomplemented
88#2660C2212yescomplemented
89#2660C2212yescomplemented
90#2655C2214yescomplemented
91#2654C2214yes—
92#2654C2214yescomplemented
93#2652C2214yes—
94#2651C2214yes—
95#2650C2214yes—
96#2645C2214yescomplemented
97#2644C2214yes—
98#2643C2214yes—
99#2638C2214yes—
100#2637C2214yescomplemented
101#2625C2212yes—
102#2625C2212yes—
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2584C2212yescomplemented
109#2583C2214yes—
110#2583C2214yes—
111#2582C2212yescomplemented
112#2582C2212yescomplemented
113#2581C2212yescomplemented
114#2581C2212yescomplemented
115#2579C2214yes—
116#2568C2212yescomplemented
117#2568C2212yescomplemented
118#2538C2212yes—
119#2538C2212yes—
120#2536C2212yes—
121#2536C2212yes—
122#2530C2214yes—
123#2530C2214yescomplemented
124#2529C2214yes—
125#2529C2214yescomplemented
126#2520C2214yescomplemented
127#2515C2214yescomplemented
128#2514C2212yescomplemented
129#2513C2212yescomplemented
130#2512C2212yescomplemented
131#2511C2212yescomplemented
132#2509C2214yescomplemented
133#2508C2214yescomplemented
134#2503C2212yes—
135#2503C2212yescomplemented
136#2502C2212yes—
137#2502C2212yescomplemented
138#2499C2212yes—
139#2499C2212yes—
140#2499C2212yescomplemented
141#2499C2212yescomplemented
142#2497C2212yes—
143#2497C2212yes—
144#2497C2212yescomplemented
145#2496C2212yes—
146#2496C2212yes—
147#2496C2212yescomplemented
148#2495C2212yes—
149#2495C2212yes—
150#2495C2212yescomplemented
151#2494C2212yes—
152#2494C2212yes—
153#2494C2212yescomplemented
154#2493C2214yes—
155#2492C2211yescharacteristic
156#2492C2211yescharacteristic
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2491C2211yescharacteristic
160#2491C2211yescharacteristic
161#2490C2211yescharacteristic
162#2490C2211yescharacteristic
163#2489C2211yescharacteristic
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2489C2211yescharacteristic
173#2489C2212yescomplemented
174#2489C2212yescomplemented
175#2488C2212yes—
176#2488C2214yes—
177#2488C2212yes—
178#2488C2214yes—
179#2487C2214yes—
180#2484C2214yes—
181#2483C2214yes—
182#2480C2214yes—
183#2472C2212yes—
184#2472C2212yes—
185#2468C2214yes—
186#2465C2214yes—
187#2454C2212yescomplemented
188#2454C2212yescomplemented
189#2453C2212yescomplemented
190#2453C2212yescomplemented
191#2453C2212yescomplemented
192#2453C2212yescomplemented
193#2451C2212yescomplemented
194#2451C2212yescomplemented
195#2448C2214yes—
196#2447C2214yes—
197#2447C2212yescomplemented
198#2447C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2442C2211yescharacteristic
202#2442C2211yescharacteristic
203#2442C2212yescomplemented
204#2442C2212yescomplemented
205#2441C2211yescharacteristic
206#2441C2211yescharacteristic
207#2441C2212yescomplemented
208#2441C2212yescomplemented
209#2440C2211yescharacteristic
210#2440C2211yescharacteristic
211#2439C2211yescharacteristic
212#2439C2211yescharacteristic
213#2438C2212yes—
214#2438C2214yes—
215#2438C2212yes—
216#2438C2214yes—
217#2437C2212yes—
218#2437C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2419C2214yes—
224#2419C2214yes—
225#2413C2214yes—
226#2411C2214yes—
227#2398C2212yes—
228#2398C2212yes—
229#2396C2212yes—
230#2396C2212yes—
231C2×#400C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2365C2212yescomplemented
237#2359C2214yes—
238#2358C2214yes—
239#2356C2212yescomplemented
240#2356C2212yescomplemented
241#2355C2212yescomplemented
242#2355C2212yescomplemented
243#2355C2212yescomplemented
244#2355C2212yescomplemented
245#2355C2212yescomplemented
246#2354C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249Q8×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yes—
251#2343C2214yes—
252#2343C2214yes—
253#2334C2214yes—
254#2334C2214yescomplemented
255#2329C2214yes—
256#2324C2212yes—
257#2323C2212yes—
258#2320C2212yescomplemented
259#2320C2212yescomplemented
260#2320C2214yescomplemented
261#2319C2214yes—
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2310C2211yescharacteristic
272#2310C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2214yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2295C2212yescomplemented
285#2295C2212yescomplemented
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#388C2212yes—
289#2285C2211yescharacteristic
290C2×#382C2212yes—
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#536—44no—
303#533—28no—
304#533—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125—44no—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324#525—28no—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×C22⋊Q8—44no—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#120C2312yes—
345#520—44no—
346#519—28no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×#117—44no—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2312yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#393C2312yes—
499#393C2314yes—
500#393C2312yes—
501#393C2314yes—
502#393C2312yes—
503#393C2312yes—
504#393C2312yes—
505#393C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#382C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#379C2312yes—
756#379C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—42no—
861C4⋊Q8—42no—
862C4⋊Q8—44no—
863#126—48no—
864#126—48no—
865#125—24no—
866#125—24no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—42no—
872#125—42no—
873#124—44no—
874#124—44no—
875#124—44no—
876#123—28no—
877#123—48no—
878C22⋊Q8—24no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892#121—24no—
893#121—24no—
894#120—28no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—48no—
904C4×Q8—44no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—44no—
908C4×D4—48no—
909C4×D4—48no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—216no—
917#117—44no—
918#117—44no—
919#117—42no—
920#117—42no—
921#117—44no—
922#117#4118yes—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4—42no—
1006C2×C22⋊C4—44no—
1007C2×C22⋊C4—42no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42—44no—
1061C2×C42—44no—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—416no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—416no—
1272C22×C4C2×#4114yes—
1273C22×C4H(5,𝔽2)14yes—
1274C22×C42−1+414yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4114yes—
1378C4⋊C4C2×#4114yes—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—44no—
1401C22⋊C4—41no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4C2×#4118yes—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—28no—
1433C42—28no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—28no—
1444C42—44no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—42no—
1454C42—42no—
1455C42—44no—
1456C42C2×#4118yes—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23#58512yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—48no—
1495Q8—48no—
1496Q8—44no—
1497Q8—84no—
1498Q8—84no—
1499Q8—84no—
1500D4—48no—
1501D4—48no—
1502D4—44no—
1503D4—84no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—48no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—82no—
1600C2×C4—82no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—164no—
1605C2×C4#542116yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—41no—
1642C22—88no—
1643C22C2×#54214yes—
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C222−1+611yescharacteristic
1650C222−1+611yescharacteristic
1651C4—22no—
1652C4—24no—
1653C4—24no—
1654C4—42no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—44no—
1663C4—42no—
1664C4—44no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—44no—
1674C4—41no—
1675C4—44no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4C2×#54214yes—
1681C4C2×#54214yes—
1682C2—24no—
1683C2—42no—
1684C2—82no—
1685C2—81no—
1686C2C22×#54211yescharacteristic
1687C2#6283111yescharacteristic
1688C2#6288911yescharacteristic
1689C2#6292511yescharacteristic
1690C2#6295411yescharacteristic
1691C2#6299311yescharacteristic
1692C2#6299311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42779C2semidirect
2. #42745C2semidirect
3. #42713C2semidirect
4. #42692C2semidirect
5. #42691C2semidirect
6. #42594C2semidirect
7. #42513C2semidirect
8. #42512C2semidirect
9. #41513C2semidirect
10. #40694C2semidirect
11. #40199C2semidirect
12. #40093C2semidirect
13. #40000C2semidirect
14. #40000C2semidirect
15. #39538C2semidirect
16. #39007C2semidirect
17. #38978C2semidirect
18. #38977C2semidirect
19. #38134C2semidirect
20. #37907C2semidirect
21. #35662C2semidirect
23. #35639C2semidirect
24. #35628C2semidirect
25. #35619C2semidirect
26. #35544C2semidirect
27. #35335C2semidirect
28. #35311C2semidirect
29. #35160C2semidirect
31. C2×#2489C2semidirect
32. #34739C2semidirect
33. #34254C2semidirect
34. #34213C2semidirect
45. #2859C22semidirect
46. #2859C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
57. #2777C22semidirect
58. #2775C22semidirect
59. #2774C22semidirect
62. #2772C22semidirect
63. #2770C22semidirect
64. #2767C22semidirect
65. #2767C22semidirect
66. #2767C22semidirect
67. #2766C22semidirect
69. #2765C22semidirect
71. #2763C22semidirect
74. #2758C22semidirect
76. #2755C22semidirect
77. #2755C22semidirect
78. #2754C22semidirect
80. #2739C22semidirect
86. #2666C22semidirect
87. #2665C22semidirect
88. #2660C22semidirect
89. #2660C22semidirect
90. #2655C22semidirect
92. #2654C22semidirect
96. #2645C22semidirect
100. #2637C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
108. #2584C22semidirect
111. #2582C22semidirect
112. #2582C22semidirect
113. #2581C22semidirect
114. #2581C22semidirect
116. #2568C22semidirect
117. #2568C22semidirect
123. #2530C22semidirect
125. #2529C22semidirect
126. #2520C22semidirect
127. #2515C22semidirect
128. #2514C22semidirect
129. #2513C22semidirect
130. #2512C22semidirect
131. #2511C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
135. #2503C22semidirect
137. #2502C22semidirect
140. #2499C22semidirect
141. #2499C22semidirect
144. #2497C22semidirect
147. #2496C22semidirect
150. #2495C22semidirect
153. #2494C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
173. #2489C22semidirect
174. #2489C22semidirect
187. #2454C22semidirect
188. #2454C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
191. #2453C22semidirect
192. #2453C22semidirect
193. #2451C22semidirect
194. #2451C22semidirect
197. #2447C22semidirect
198. #2447C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
203. #2442C22semidirect
204. #2442C22semidirect
207. #2441C22semidirect
208. #2441C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
236. #2365C22semidirect
239. #2356C22semidirect
240. #2356C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
245. #2355C22semidirect
249. Q8×C4⋊C4C22semidirect
254. #2334C22semidirect
258. #2320C22semidirect
259. #2320C22semidirect
260. #2320C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#427792
#427452
#427132
#426922
#426912
#425942
#425132
#425122
#415132
#406942
#401992
#400932
#400002
#395382
#390072
#389782
#389772
#381342
#379072
#356622
#356612
#356392
#356282
#356192
#355442
#353352
#353112
#351602
#348132
C2×#24892
#347392
#342542
#342132
#342022