Finite Group Databasebeta

← #7683728

Subgroups — #7683728

Order 512.

5427 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59383C212yesmaximal, complemented
2#59381C212yesmaximal, complemented
3#59379C212yesmaximal, complemented
4#59374C212yesmaximal, complemented
5#59282C212yesmaximal, complemented
6#59279C212yesmaximal, complemented
7#59269C214yesmaximal, complemented
8#59266C214yesmaximal, complemented
9#59253C212yesmaximal, complemented
10#59239C212yesmaximal, complemented
11#45320C212yesmaximal, complemented
12#45308C212yesmaximal, complemented
13#45290C212yesmaximal, complemented
14#45260C212yesmaximal, complemented
15#45234C212yesmaximal, complemented
16#45215C212yesmaximal, complemented
17#45117C212yesmaximal, complemented
18#44920C212yesmaximal, complemented
19#44474C214yesmaximal, complemented
20#44023C214yesmaximal, complemented
21#35668C211yesmaximal, characteristic, complemented
22#35659C211yesmaximal, characteristic
23#35629C211yesmaximal, characteristic, complemented
24#35575C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#34810C211yesmaximal, characteristic, complemented
28#34742C211yesmaximal, characteristic, complemented
29C2×#2421C211yesmaximal, characteristic, complemented
30#34259C211yesmaximal, characteristic, complemented
31#34257C211yesmaximal, characteristic, complemented
32#34203C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34189C211yesmaximal, characteristic, complemented
35#34187C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45C22×#117C2211yescharacteristic
46#2798C2214yes—
47#2797C2214yes—
48#2796C2214yescomplemented
49#2789C2214yescomplemented
50#2764C2214yes—
51#2762C2214yescomplemented
52#2761C2214yescomplemented
53#2759C2214yes—
54#2759C2214yes—
55#2758C2214yescomplemented
56#2756C2214yes—
57#2755C2214yescomplemented
58#2752C2214yes—
59#2751C2214yescomplemented
60#2749C2214yes—
61#2747C2214yescomplemented
62#2746C2214yes—
63#2745C2214yescomplemented
64#2742C2214yescomplemented
65#2741C2214yes—
66#2738C2214yescomplemented
67#2737C2214yes—
68#2723C2214yescomplemented
69#2717C2214yes—
70#2612C2214yescomplemented
71#2605C2214yescomplemented
72#2605C2214yescomplemented
73#2602C2214yes—
74#2595C2214yescomplemented
75#2589C2214yes—
76#2588C2214yescomplemented
77#2578C2214yes—
78#2577C2214yescomplemented
79#2577C2214yescomplemented
80#2576C2214yes—
81#2573C2214yescomplemented
82#2568C2212yescomplemented
83#2567C2212yescomplemented
84#2565C2212yescomplemented
85#2565C2212yescomplemented
86#2564C2214yes—
87#2563C2212yes—
88#2562C2212yes—
89#2562C2212yes—
90#2557C2214yes—
91#2554C2214yes—
92#2553C2214yes—
93#2547C2212yes—
94#2532C2214yes—
95#2531C2214yes—
96#2531C2214yes—
97#2531C2214yescomplemented
98#2530C2214yescomplemented
99#2527C2214yes—
100#2526C2214yes—
101#2526C2214yescomplemented
102#2523C2214yes—
103#2523C2214yescomplemented
104#2522C2214yescomplemented
105#2518C2214yes—
106#2516C2214yescomplemented
107#2515C2214yescomplemented
108#2514C2212yescomplemented
109#2514C2212yescomplemented
110#2514C2212yescomplemented
111#2513C2212yescomplemented
112#2513C2212yescomplemented
113#2513C2212yescomplemented
114#2512C2212yescomplemented
115#2511C2212yescomplemented
116#2510C2214yes—
117#2510C2214yes—
118#2510C2214yes—
119#2510C2214yes—
120#2505C2214yescomplemented
121#2504C2211yescharacteristic
122#2503C2211yescharacteristic
123#2502C2211yescharacteristic
124#2501C2211yescharacteristic
125#2500C2211yescharacteristic
126#2500C2211yescharacteristic
127#2499C2211yescharacteristic
128#2499C2211yescharacteristic
129#2498C2212yes—
130#2498C2212yes—
131#2497C2212yescomplemented
132#2496C2212yescomplemented
133#2495C2212yescomplemented
134#2495C2212yescomplemented
135#2495C2212yescomplemented
136#2494C2212yescomplemented
137#2494C2212yescomplemented
138#2494C2212yescomplemented
139#2493C2214yescomplemented
140#2493C2214yescomplemented
141#2492C2212yes—
142#2491C2212yes—
143#2490C2212yes—
144#2489C2212yes—
145#2488C2214yes—
146#2488C2214yes—
147#2481C2214yes—
148#2472C2214yes—
149#2461C2214yes—
150#2454C2212yescomplemented
151#2453C2212yescomplemented
152#2453C2212yescomplemented
153#2453C2212yescomplemented
154#2452C2212yescomplemented
155#2451C2212yescomplemented
156#2451C2212yescomplemented
157#2451C2212yescomplemented
158#2442C2212yescomplemented
159#2441C2212yescomplemented
160#2440C2212yescomplemented
161#2439C2212yescomplemented
162#2438C2214yes—
163#2438C2214yes—
164#2423C2211yescharacteristic
165#2423C2211yescharacteristic
166#2422C2211yescharacteristic
167#2422C2211yescharacteristic
168#2421C2212yes—
169#2421C2212yes—
170#2421C2212yes—
171#2421C2212yes—
172#2421C2212yes—
173#2421C2212yes—
174#2421C2212yes—
175#2421C2212yes—
176#2421C2211yescharacteristic
177#2421C2211yescharacteristic
178#2420C2211yescharacteristic
179#2420C2211yescharacteristic
180#2419C2214yes—
181#2419C2212yes—
182#2419C2212yes—
183#2418C2212yes—
184#2418C2212yes—
185#2417C2214yes—
186#2412C2212yes—
187#2412C2212yes—
188#2409C2212yes—
189#2409C2212yes—
190#2409C2212yes—
191#2409C2212yes—
192#2407C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2406C2214yes—
197#2404C2214yes—
198#2395C2212yes—
199#2395C2212yes—
200#2395C2212yes—
201#2395C2212yes—
202C2×#400C2212yes—
203C2×#397C2212yes—
204#2373C2214yescomplemented
205#2372C2214yes—
206#2368C2214yescomplemented
207#2362C2212yes—
208#2362C2212yes—
209#2360C2212yes—
210#2360C2212yes—
211#2359C2214yes—
212#2358C2214yes—
213#2357C2212yescomplemented
214#2357C2212yescomplemented
215#2356C2212yescomplemented
216#2356C2212yescomplemented
217#2356C2212yescomplemented
218#2356C2212yescomplemented
219#2356C2212yescomplemented
220#2356C2212yescomplemented
221#2355C2212yescomplemented
222#2355C2212yescomplemented
223#2355C2212yescomplemented
224#2355C2212yescomplemented
225#2354C2212yes—
226#2353C2214yes—
227#2353C2214yes—
228#2353C2214yes—
229#2352C2212yes—
230#2352C2212yes—
231D4×C4⋊C4C2212yes—
232#2344C2214yes—
233#2342C2214yes—
234#2341C2212yescomplemented
235#2341C2212yescomplemented
236#2341C2212yescomplemented
237#2341C2212yescomplemented
238Q8×C22⋊C4C2212yescomplemented
239Q8×C22⋊C4C2212yescomplemented
240Q8×C22⋊C4C2212yescomplemented
241Q8×C22⋊C4C2212yescomplemented
242Q8×C22⋊C4C2212yescomplemented
243Q8×C22⋊C4C2212yescomplemented
244#2339C2214yes—
245#2339C2214yes—
246#2339C2212yescomplemented
247#2339C2212yescomplemented
248#2324C2212yes—
249#2323C2212yes—
250#2323C2212yes—
251#2323C2212yes—
252#2317C2211yescharacteristic
253#2316C2211yescharacteristic
254#2314C2212yescomplemented
255#2314C2212yescomplemented
256#2313C2214yes—
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2214yes—
262#2311C2211yescharacteristic
263#2311C2212yescomplemented
264#2310C2211yescharacteristic
265#2310C2211yescharacteristic
266#2310C2212yescomplemented
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×#123C2212yes—
271C4×#123C2212yes—
272C4×#123C2212yes—
273C4×#123C2212yes—
274C4×#121C2212yes—
275#2297C2211yescharacteristic
276#2297C2214yes—
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2297C2212yescomplemented
280#2296C2211yescharacteristic
281C2×#391C2211yescharacteristic
282C2×#391C2212yescomplemented
283C2×#389C2211yescharacteristic
284C2×#388C2212yes—
285C2×#387C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2283C2214yes—
290#2283C2212yescomplemented
291#2283C2212yescomplemented
292C2×#382C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—28no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C23×Q8C2312yes—
308C23×Q8C2312yes—
309C23×Q8C2311yescharacteristic
310C24×C4C2311yescharacteristic
311#544—44no—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2314yes—
318#525—28no—
319#525—44no—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×C22⋊Q8—28no—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#120C2312yes—
342C2×#120C2312yes—
343#520—44no—
344#519—44no—
345C4×#41—28no—
346C2×C4×Q8—28no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×#117—44no—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2312yes—
402#401C2314yes—
403#401C2314yes—
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#399C2312yes—
427#399C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2314yes—
489#392C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#379C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2314yes—
809#376C2314yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C2×#95C2311yescharacteristic
822C25C2411yescharacteristic
8232−1+4—464no—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—216no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—216no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—48no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41#4118yes—
839C22×Q8—28no—
840C22×Q8—28no—
841C22×Q8—28no—
842C22×Q8—24no—
843C22×Q8—28no—
844C22×Q8—24no—
845C22×Q8—44no—
846C22×Q8—44no—
847C22×Q8#4118yes—
848C22×Q8C2411yescharacteristic
849C22×Q8C2414yes—
850C22×Q8C2412yes—
851C22×Q8C2412yes—
852C22×Q8C2411yescharacteristic
853C22×Q8C2414yes—
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C23×C4—24no—
864C23×C4—24no—
865C23×C4—24no—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C4⋊Q8—44no—
890C4⋊Q8—44no—
891#126—48no—
892#125—44no—
893#125—44no—
894#124—48no—
895#123—28no—
896#123—44no—
897#123—44no—
898#123—44no—
899#123—44no—
900#123—44no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911#121—24no—
912#121—24no—
913#121—42no—
914#121—42no—
915#120—28no—
916#120—44no—
917C4×Q8—28no—
918C4×Q8—28no—
919C4×Q8—28no—
920C4×Q8—28no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939#117—28no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—24no—
946#117—44no—
947#117—44no—
948#117—48no—
949#117—42no—
950#117—42no—
951#117—44no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—42no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4—44no—
1022C2×C22⋊C4—42no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C42—28no—
1082C2×C42—24no—
1083C2×C42—28no—
1084C2×C42—24no—
1085C2×C42—44no—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
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#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24C2511yescharacteristic
1203C24C2512yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207#41—232no—
1208#41—464no—
1209#41—432no—
1210#41—432no—
1211#41—416no—
1212C2×Q8—232no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—28no—
1217C2×Q8—28no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—432no—
1229C2×Q8—432no—
1230C2×Q8C2×#4114yes—
1231C2×Q8C2×#4118yes—
1232C2×Q8C2×#4118yes—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—28no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4C2×#4118yes—
1259C2×D4C2×#4114yes—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—28no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—416no—
1325C22×C4C2×#4118yes—
1326C22×C4C2×#4118yes—
1327C22×C4C2×#4114yes—
1328C22×C4C2×#4114yes—
1329C22×C4H(5,𝔽2)14yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2514yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—44no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—28no—
1483C42—22no—
1484C42—22no—
1485C42—28no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—42no—
1494C42—42no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—22no—
1529C23—21no—
1530C23—22no—
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23C22×#4114yes—
1542C23C22×#4112yes—
1543C23C22×#4112yes—
1544C23C2×H(5,𝔽2)12yes—
1545C23#58512yes—
1546C23C2611yescharacteristic
1547Q8—216no—
1548Q8—216no—
1549Q8—28no—
1550Q8—416no—
1551Q8—44no—
1552Q8—164no—
1553D4—216no—
1554D4—28no—
1555D4—416no—
1556D4—48no—
1557D4—48no—
1558D4—44no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—216no—
1569C2×C4—216no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—416no—
1646C2×C4—44no—
1647C2×C4—416no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—82no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—164no—
1665C2×C4#551116yes—
1666C2×C4C22×#4118yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4#58512yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—24no—
1682C22—22no—
1683C22—22no—
1684C22—24no—
1685C22—22no—
1686C22—24no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—42no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—88no—
1710C22C2×#55114yes—
1711C22C23×#4111yescharacteristic
1712C22C23×#4111yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C222−1+611yescharacteristic
1717C222−1+611yescharacteristic
1718C4—22no—
1719C4—24no—
1720C4—28no—
1721C4—42no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—41no—
1726C4—44no—
1727C4—44no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—44no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—41no—
1745C4—42no—
1746C4C2×#55114yes—
1747C4C2×#55114yes—
1748C2—24no—
1749C2—44no—
1750C2—42no—
1751C2—82no—
1752C2—81no—
1753C2C22×#55111yescharacteristic
1754C2#6283011yescharacteristic
1755C2#6288811yescharacteristic
1756C2#6299311yescharacteristic
1757C2#6300511yescharacteristic
1758C2#6300511yescharacteristic
1759C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35659C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59383C2semidirect
2. #59381C2semidirect
3. #59379C2semidirect
4. #59374C2semidirect
5. #59282C2semidirect
6. #59279C2semidirect
7. #59269C2semidirect
8. #59266C2semidirect
9. #59253C2semidirect
10. #59239C2semidirect
11. #45320C2semidirect
12. #45308C2semidirect
13. #45290C2semidirect
14. #45260C2semidirect
15. #45234C2semidirect
16. #45215C2semidirect
17. #45117C2semidirect
18. #44920C2semidirect
19. #44474C2semidirect
20. #44023C2semidirect
21. #35668C2semidirect
23. #35629C2semidirect
24. #35575C2semidirect
25. #35545C2semidirect
26. #35542C2semidirect
27. #34810C2semidirect
28. #34742C2semidirect
29. C2×#2421C2semidirect
30. #34259C2semidirect
31. #34257C2semidirect
32. #34203C2semidirect
33. #34202C2semidirect
34. #34189C2semidirect
35. #34187C2semidirect
48. #2796C22semidirect
49. #2789C22semidirect
51. #2762C22semidirect
52. #2761C22semidirect
55. #2758C22semidirect
57. #2755C22semidirect
59. #2751C22semidirect
61. #2747C22semidirect
63. #2745C22semidirect
64. #2742C22semidirect
66. #2738C22semidirect
68. #2723C22semidirect
70. #2612C22semidirect
71. #2605C22semidirect
72. #2605C22semidirect
74. #2595C22semidirect
76. #2588C22semidirect
78. #2577C22semidirect
79. #2577C22semidirect
81. #2573C22semidirect
82. #2568C22semidirect
83. #2567C22semidirect
84. #2565C22semidirect
85. #2565C22semidirect
97. #2531C22semidirect
98. #2530C22semidirect
101. #2526C22semidirect
103. #2523C22semidirect
104. #2522C22semidirect
106. #2516C22semidirect
107. #2515C22semidirect
108. #2514C22semidirect
109. #2514C22semidirect
110. #2514C22semidirect
111. #2513C22semidirect
112. #2513C22semidirect
113. #2513C22semidirect
114. #2512C22semidirect
115. #2511C22semidirect
120. #2505C22semidirect
131. #2497C22semidirect
132. #2496C22semidirect
133. #2495C22semidirect
134. #2495C22semidirect
135. #2495C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
138. #2494C22semidirect
139. #2493C22semidirect
140. #2493C22semidirect
150. #2454C22semidirect
151. #2453C22semidirect
152. #2453C22semidirect
153. #2453C22semidirect
154. #2452C22semidirect
155. #2451C22semidirect
156. #2451C22semidirect
157. #2451C22semidirect
158. #2442C22semidirect
159. #2441C22semidirect
160. #2440C22semidirect
161. #2439C22semidirect
204. #2373C22semidirect
206. #2368C22semidirect
213. #2357C22semidirect
214. #2357C22semidirect
215. #2356C22semidirect
216. #2356C22semidirect
217. #2356C22semidirect
218. #2356C22semidirect
219. #2356C22semidirect
220. #2356C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
234. #2341C22semidirect
235. #2341C22semidirect
236. #2341C22semidirect
237. #2341C22semidirect
238. Q8×C22⋊C4C22semidirect
239. Q8×C22⋊C4C22semidirect
240. Q8×C22⋊C4C22semidirect
241. Q8×C22⋊C4C22semidirect
242. Q8×C22⋊C4C22semidirect
243. Q8×C22⋊C4C22semidirect
246. #2339C22semidirect
247. #2339C22semidirect
254. #2314C22semidirect
255. #2314C22semidirect
263. #2311C22semidirect
266. #2310C22semidirect
279. #2297C22semidirect
282. C2×#391C22semidirect
290. #2283C22semidirect
291. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#593832
#593812
#593792
#593742
#592822
#592792
#592692
#592662
#592532
#592392
#453202
#453082
#452902
#452602
#452342
#452152
#451172
#449202
#444742
#440232
#356682
#356592
#356292
#355752
#355452
#355422
#348102
#347422
C2×#24212
#342592
#342572
#342032
#342022
#341892
#341872