Finite Group Databasebeta

← #7732540

Subgroups — #7732540

Order 512.

5146 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49630C214yesmaximal, complemented
2#49627C214yesmaximal, complemented
3#47229C214yesmaximal, complemented
4#46462C214yesmaximal, complemented
5#43930C214yesmaximal, complemented
6#43508C214yesmaximal, complemented
7#39554C212yesmaximal, complemented
8#39551C212yesmaximal, complemented
9#39549C212yesmaximal, complemented
10#39499C212yesmaximal, complemented
11#39487C212yesmaximal, complemented
12#39424C212yesmaximal, complemented
13#38219C212yesmaximal, complemented
14#38212C212yesmaximal, complemented
15#37851C212yesmaximal, complemented
16#37665C212yesmaximal, complemented
17#37451C211yesmaximal, characteristic, complemented
18#37369C212yesmaximal, complemented
19#37365C212yesmaximal, complemented
20#36306C212yesmaximal, complemented
21#36265C212yesmaximal, complemented
22#35611C212yesmaximal, complemented
23#35599C212yesmaximal, complemented
24#35253C211yesmaximal, characteristic, complemented
25#35000C211yesmaximal, characteristic
26C2×#2415C211yesmaximal, characteristic, complemented
27#34380C211yesmaximal, characteristic, complemented
28#34204C211yesmaximal, characteristic, complemented
29#34058C211yesmaximal, characteristic, complemented
30C2×#552C2214yescomplemented
31C2×#544C2211yescharacteristic, complemented
32C2×#542C2212yescomplemented
33C2×#534C2212yes—
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic, complemented
36C22×#121C2211yescharacteristic
37C2×#518C2211yescharacteristic, complemented
38C22×C4×D4C2211yescharacteristic
39C22×#117C2211yescharacteristic
40#2863C2212yescomplemented
41#2861C2212yescomplemented
42#2860C2212yescomplemented
43#2859C2212yescomplemented
44#2857C2212yescomplemented
45#2854C2212yes—
46#2851C2212yescomplemented
47#2847C2212yes—
48#2816C2214yescomplemented
49#2803C2214yescomplemented
50#2803C2214yescomplemented
51#2802C2214yescomplemented
52#2801C2214yescomplemented
53#2800C2214yescomplemented
54#2800C2214yescomplemented
55#2796C2214yescomplemented
56#2795C2214yescomplemented
57#2783C2214yescomplemented
58#2777C2214yescomplemented
59#2772C2214yescomplemented
60#2757C2214yescomplemented
61#2750C2214yescomplemented
62#2748C2214yescomplemented
63#2744C2214yescomplemented
64#2743C2214yescomplemented
65#2741C2214yescomplemented
66#2740C2214yescomplemented
67#2738C2214yescomplemented
68#2735C2214yescomplemented
69#2735C2214yescomplemented
70#2731C2214yescomplemented
71#2728C2214yescomplemented
72#2727C2214yescomplemented
73#2726C2214yescomplemented
74#2725C2214yescomplemented
75#2725C2214yescomplemented
76#2725C2214yescomplemented
77#2711C2214yescomplemented
78#2711C2214yescomplemented
79#2707C2214yes—
80#2702C2214yescomplemented
81#2700C2214yescomplemented
82#2694C2214yes—
83#2692C2214yescomplemented
84#2691C2214yescomplemented
85#2687C2214yescomplemented
86#2685C2214yes—
87#2685C2214yes—
88#2681C2214yescomplemented
89#2629C2212yescomplemented
90#2629C2212yescomplemented
91#2628C2212yescomplemented
92#2626C2212yescomplemented
93#2626C2212yescomplemented
94#2625C2212yescomplemented
95#2624C2212yescomplemented
96#2620C2212yescomplemented
97#2620C2212yescomplemented
98#2620C2212yescomplemented
99#2618C2212yes—
100#2618C2212yes—
101#2618C2212yes—
102#2617C2212yes—
103#2611C2214yescomplemented
104#2608C2214yescomplemented
105#2604C2214yescomplemented
106#2602C2214yescomplemented
107#2594C2214yescomplemented
108#2590C2214yescomplemented
109#2589C2214yescomplemented
110#2587C2214yescomplemented
111#2578C2214yescomplemented
112#2576C2214yescomplemented
113#2573C2214yescomplemented
114#2561C2214yescomplemented
115#2560C2214yescomplemented
116#2559C2214yescomplemented
117#2558C2214yes—
118#2558C2214yescomplemented
119#2556C2214yescomplemented
120#2543C2214yes—
121#2534C2214yes—
122#2534C2214yescomplemented
123#2532C2214yescomplemented
124#2532C2214yescomplemented
125#2532C2214yescomplemented
126#2531C2214yescomplemented
127#2527C2214yescomplemented
128#2527C2214yescomplemented
129#2526C2214yescomplemented
130#2519C2214yescomplemented
131#2518C2214yescomplemented
132#2518C2214yescomplemented
133#2514C2212yescomplemented
134#2512C2212yescomplemented
135#2510C2214yescomplemented
136#2506C2212yescomplemented
137#2506C2212yescomplemented
138#2502C2212yescomplemented
139#2501C2212yes—
140#2498C2214yescomplemented
141#2498C2214yescomplemented
142#2497C2212yescomplemented
143#2497C2212yescomplemented
144#2492C2212yescomplemented
145#2490C2212yescomplemented
146#2490C2214yescomplemented
147#2488C2214yescomplemented
148#2486C2212yes—
149#2481C2214yescomplemented
150#2480C2214yescomplemented
151#2476C2214yescomplemented
152#2472C2214yes—
153#2472C2214yescomplemented
154#2466C2214yescomplemented
155#2459C2214yescomplemented
156#2458C2214yes—
157#2453C2212yescomplemented
158#2453C2214yescomplemented
159#2452C2212yescomplemented
160#2448C2212yescomplemented
161#2447C2212yescomplemented
162#2442C2212yescomplemented
163#2441C2214yescomplemented
164#2441C2212yescomplemented
165#2440C2212yescomplemented
166#2439C2212yescomplemented
167#2438C2214yescomplemented
168#2437C2214yes—
169#2436C2212yes—
170#2435C2212yescomplemented
171#2429C2214yescomplemented
172#2427C2212yescomplemented
173#2426C2214yescomplemented
174#2426C2212yescomplemented
175#2423C2212yescomplemented
176#2420C2212yescomplemented
177#2419C2214yescomplemented
178#2418C2214yescomplemented
179#2417C2214yescomplemented
180#2416C2212yes—
181#2416C2212yes—
182#2415C2212yes—
183#2415C2214yes—
184#2415C2212yes—
185#2415C2212yescomplemented
186#2415C2214yescomplemented
187#2415C2212yescomplemented
188#2415C2214yescomplemented
189#2413C2214yescomplemented
190#2411C2214yes—
191#2411C2214yescomplemented
192#2408C2212yes—
193#2405C2214yes—
194C2×#397C2212yes—
195C2×#394C2212yes—
196#2378C2214yescomplemented
197#2363C2212yescomplemented
198#2363C2212yescomplemented
199#2361C2212yes—
200#2361C2212yes—
201#2360C2212yescomplemented
202#2360C2212yescomplemented
203#2359C2214yescomplemented
204#2359C2214yescomplemented
205#2353C2214yescomplemented
206#2344C2212yescomplemented
207#2342C2214yes—
208#2342C2214yescomplemented
209Q8×C22⋊C4C2212yescomplemented
210D4×C22⋊C4C2214yes—
211#2329C2212yescomplemented
212#2329C2212yescomplemented
213#2324C2212yescomplemented
214#2324C2212yescomplemented
215#2324C2212yescomplemented
216#2323C2212yescomplemented
217#2323C2212yescomplemented
218#2323C2212yescomplemented
219#2319C2212yes—
220#2319C2212yes—
221#2319C2212yescomplemented
222#2319C2212yescomplemented
223#2317C2211yescharacteristic, complemented
224#2317C2211yescharacteristic, complemented
225#2316C2211yescharacteristic, complemented
226#2316C2211yescharacteristic, complemented
227#2316C2212yescomplemented
228#2316C2211yescharacteristic, complemented
229#2316C2211yescharacteristic, complemented
230#2314C2212yescomplemented
231#2313C2212yescomplemented
232#2312C2212yes—
233#2312C2211yescharacteristic, complemented
234#2312C2211yescharacteristic, complemented
235#2309C2212yes—
236#2309C2211yescharacteristic, complemented
237#2308C2212yes—
238C4×C4⋊Q8C2212yescomplemented
239C4×#124C2212yescomplemented
240C4×#121C2212yes—
241C4×#121C2212yes—
242#2295C2212yescomplemented
243C2×#391C2211yescharacteristic, complemented
244#2293C2212yes—
245#2293C2212yes—
246#2293C2212yescomplemented
247#2293C2212yescomplemented
248#2293C2212yescomplemented
249C2×#389C2212yescomplemented
250C2×#389C2211yescharacteristic, complemented
251C2×#388C2212yescomplemented
252#2280C2211yescharacteristic
253#2280C2211yescharacteristic
254#2280C2212yescomplemented
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic, complemented
257#2274C2211yescharacteristic, complemented
258C4×#117C2212yescomplemented
259C23×Q8C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265#552—416no—
266#544—44no—
267#542—48no—
268#534—48no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#126C2314yes—
274C2×#125C2312yes—
275C2×#125C2314yes—
276C2×#125C2312yes—
277C2×#125C2314yes—
278C2×#125C2314yes—
279C2×#124C2312yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×C22⋊Q8—28no—
288C2×C22⋊Q8—44no—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×#121—28no—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311#518—44no—
312C2×C4×Q8C2314yes—
313C2×C4×Q8C2312yes—
314C2×C4×Q8C2312yes—
315C2×C4×D4—28no—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×#117—44no—
327C2×#117C2312yes—
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2312yes—
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2314yes—
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2314yes—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362C22×C42C2311yescharacteristic
363C22×C42C2312yes—
364#401C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#395C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#392C2314yes—
452#391C2314yes—
453#391C2314yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#390C2314yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2314yes—
478#390C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2314yes—
484#390C2314yes—
485#389C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#388C2312yes—
527#388C2314yes—
528#388C2314yes—
529#388C2312yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#384C2312yes—
633#384C2312yes—
634#384C2312yes—
635#384C2312yes—
636#383C2314yes—
637#383C2314yes—
638#382C2312yes—
639#382C2312yes—
640#382C2314yes—
641#381C2312yes—
642#381C2314yes—
643#381C2314yes—
644#381C2314yes—
645#381C2314yes—
646#381C2312yes—
647#381C2312yes—
648#381C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2311yescharacteristic
652#380C2311yescharacteristic
653#380C2311yescharacteristic
654#380C2311yescharacteristic
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2311yescharacteristic
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2312yes—
665#380C2311yescharacteristic
666#380C2311yescharacteristic
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#379C2314yes—
676#379C2314yes—
677#379C2312yes—
678#379C2312yes—
679#379C2312yes—
680#379C2312yes—
681#379C2314yes—
682#379C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712#376C2312yes—
713#376C2312yes—
714#376C2314yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C43C2312yes—
721C43C2312yes—
722C25C2411yescharacteristic
723C25C2411yescharacteristic
724C25C2412yes—
725C22×Q8—24no—
726C22×Q8—42no—
727C22×Q8—42no—
728C22×Q8C2412yes—
729C22×Q8C2414yes—
730C22×Q8C2412yes—
731C22×D4—24no—
732C22×D4—28no—
733C22×D4—24no—
734C22×D4—24no—
735C22×D4—42no—
736C22×D4—42no—
737C22×D4—42no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C23×C4—24no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4—42no—
752C23×C4—42no—
753C23×C4#4118yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C4⋊Q8—28no—
775C4⋊Q8—44no—
776#126—48no—
777#126—48no—
778#126—48no—
779#125—44no—
780#125—44no—
781#125—48no—
782#125—48no—
783#125—48no—
784#124—44no—
785#124—44no—
786#124—48no—
787#123—216no—
788#123—48no—
789#123—48no—
790#123—48no—
791#123—48no—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—28no—
796C22⋊Q8—28no—
797C22⋊Q8—48no—
798C22⋊Q8—48no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—44no—
802C22⋊Q8—48no—
803#121—28no—
804#121—28no—
805#121—28no—
806#121—28no—
807#121—48no—
808#121—48no—
809#121—44no—
810#121—44no—
811#120—48no—
812#120—48no—
813C4×Q8—48no—
814C4×Q8—44no—
815C4×Q8—44no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—28no—
819C4×D4—28no—
820C4×D4—28no—
821C4×D4—44no—
822C4×D4—44no—
823C4×D4—44no—
824C4×D4—48no—
825C4×D4—48no—
826#117—28no—
827#117—24no—
828#117—24no—
829#117—42no—
830#117—44no—
831#117—42no—
832#117—42no—
833#117—44no—
834#117—42no—
835#117—44no—
836#117—44no—
837#117—48no—
838#117—44no—
839#117—48no—
840#117—42no—
841#117—42no—
842C2×C4⋊C4—24no—
843C2×C4⋊C4—24no—
844C2×C4⋊C4—24no—
845C2×C4⋊C4—28no—
846C2×C4⋊C4—28no—
847C2×C4⋊C4—24no—
848C2×C4⋊C4—42no—
849C2×C4⋊C4—42no—
850C2×C4⋊C4—44no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C22⋊C4—24no—
912C2×C22⋊C4—28no—
913C2×C22⋊C4—24no—
914C2×C22⋊C4—28no—
915C2×C22⋊C4—44no—
916C2×C22⋊C4—48no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4—44no—
919C2×C22⋊C4—44no—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C42—24no—
981C2×C42—44no—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2414yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2414yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—24no—
1063C24—22no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24—41no—
1068C24—41no—
1069C24—41no—
1070C24—41no—
1071C24—41no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24C2×#4114yes—
1079C24C2512yes—
1080C24C2514yes—
1081C24C2511yescharacteristic
1082C24C2511yescharacteristic
1083C24C2511yescharacteristic
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—28no—
1088C2×Q8—24no—
1089C2×Q8—44no—
1090C2×Q8—42no—
1091C2×Q8—42no—
1092C2×Q8—44no—
1093C2×Q8—88no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—416no—
1111C2×D4—416no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—816no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—28no—
1144C22×C4—416no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—41no—
1155C22×C4—44no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—41no—
1160C22×C4—44no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—88no—
1176C22×C4C2×#4114yes—
1177C22×C4C2×#4114yes—
1178C22×C4C2×#4114yes—
1179C22×C4C2×#4114yes—
1180C22×C4C2×#4114yes—
1181C22×C4C2×#4114yes—
1182C22×C4H(5,𝔽2)14yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2514yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—42no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—41no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4H(5,𝔽2)14yes—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—42no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—24no—
1330C42—24no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—42no—
1337C42—42no—
1338C42—42no—
1339C42—42no—
1340C42—42no—
1341C42—42no—
1342C42—42no—
1343C42—42no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—28no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—24no—
1371C23—24no—
1372C23—22no—
1373C23—22no—
1374C23—24no—
1375C23—24no—
1376C23—22no—
1377C23—24no—
1378C23—24no—
1379C23—22no—
1380C23—22no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—48no—
1386C23—44no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—84no—
1396C23—84no—
1397C23—162no—
1398C23—162no—
1399C23—162no—
1400C23—162no—
1401C23C22×#4112yes—
1402C23C22×#4112yes—
1403C23C22×#4112yes—
1404C23C2×H(5,𝔽2)12yes—
1405C23#58512yes—
1406C23C2611yescharacteristic
1407Q8—48no—
1408Q8—88no—
1409Q8—84no—
1410D4—48no—
1411D4—48no—
1412D4—48no—
1413D4—416no—
1414D4—48no—
1415D4—88no—
1416D4—164no—
1417D4—164no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—28no—
1429C2×C4—28no—
1430C2×C4—28no—
1431C2×C4—28no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—88no—
1493C2×C4—84no—
1494C2×C4—82no—
1495C2×C4—84no—
1496C2×C4—82no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—162no—
1500C2×C4—164no—
1501C2×C4—162no—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C2×H(5,𝔽2)14yes—
1507C2×C4C2×H(5,𝔽2)14yes—
1508C2×C4C2×H(5,𝔽2)12yes—
1509C2×C4#58512yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—44no—
1532C22—42no—
1533C22—44no—
1534C22—42no—
1535C22—44no—
1536C22—44no—
1537C22—42no—
1538C22—44no—
1539C22—42no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—44no—
1544C22—88no—
1545C22—88no—
1546C22—168no—
1547C22#349414yes—
1548C22C23×#4111yescharacteristic
1549C22C22×H(5,𝔽2)11yescharacteristic
1550C22C22×H(5,𝔽2)11yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C222−1+611yescharacteristic
1554C222−1+611yescharacteristic
1555C4—22no—
1556C4—22no—
1557C4—22no—
1558C4—24no—
1559C4—24no—
1560C4—42no—
1561C4—44no—
1562C4—44no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—44no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—44no—
1576C4—42no—
1577C4—42no—
1578C4#350514yes—
1579C2—24no—
1580C2—42no—
1581C2—42no—
1582C2—82no—
1583C2—84no—
1584C2C2×#350511yescharacteristic
1585C2C2×#349411yescharacteristic
1586C2#6286011yescharacteristic
1587C2#6291411yescharacteristic
1588C2#6291911yescharacteristic
1589C2#6293111yescharacteristic
1590C2#6293411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35000C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #49630C2semidirect
2. #49627C2semidirect
3. #47229C2semidirect
4. #46462C2semidirect
5. #43930C2semidirect
6. #43508C2semidirect
7. #39554C2semidirect
8. #39551C2semidirect
9. #39549C2semidirect
10. #39499C2semidirect
11. #39487C2semidirect
12. #39424C2semidirect
13. #38219C2semidirect
14. #38212C2semidirect
15. #37851C2semidirect
16. #37665C2semidirect
17. #37451C2semidirect
18. #37369C2semidirect
19. #37365C2semidirect
20. #36306C2semidirect
21. #36265C2semidirect
22. #35611C2semidirect
23. #35599C2semidirect
24. #35253C2semidirect
26. C2×#2415C2semidirect
27. #34380C2semidirect
28. #34204C2semidirect
29. #34058C2semidirect
30. C2×#552C22semidirect
31. C2×#544C22semidirect
32. C2×#542C22semidirect
35. C22×C22⋊Q8C22semidirect
37. C2×#518C22semidirect
40. #2863C22semidirect
41. #2861C22semidirect
42. #2860C22semidirect
43. #2859C22semidirect
44. #2857C22semidirect
46. #2851C22semidirect
48. #2816C22semidirect
49. #2803C22semidirect
50. #2803C22semidirect
51. #2802C22semidirect
52. #2801C22semidirect
53. #2800C22semidirect
54. #2800C22semidirect
55. #2796C22semidirect
56. #2795C22semidirect
57. #2783C22semidirect
58. #2777C22semidirect
59. #2772C22semidirect
60. #2757C22semidirect
61. #2750C22semidirect
62. #2748C22semidirect
63. #2744C22semidirect
64. #2743C22semidirect
65. #2741C22semidirect
66. #2740C22semidirect
67. #2738C22semidirect
68. #2735C22semidirect
69. #2735C22semidirect
70. #2731C22semidirect
71. #2728C22semidirect
72. #2727C22semidirect
73. #2726C22semidirect
74. #2725C22semidirect
75. #2725C22semidirect
76. #2725C22semidirect
77. #2711C22semidirect
78. #2711C22semidirect
80. #2702C22semidirect
81. #2700C22semidirect
83. #2692C22semidirect
84. #2691C22semidirect
85. #2687C22semidirect
88. #2681C22semidirect
89. #2629C22semidirect
90. #2629C22semidirect
91. #2628C22semidirect
92. #2626C22semidirect
93. #2626C22semidirect
94. #2625C22semidirect
95. #2624C22semidirect
96. #2620C22semidirect
97. #2620C22semidirect
98. #2620C22semidirect
103. #2611C22semidirect
104. #2608C22semidirect
105. #2604C22semidirect
106. #2602C22semidirect
107. #2594C22semidirect
108. #2590C22semidirect
109. #2589C22semidirect
110. #2587C22semidirect
111. #2578C22semidirect
112. #2576C22semidirect
113. #2573C22semidirect
114. #2561C22semidirect
115. #2560C22semidirect
116. #2559C22semidirect
118. #2558C22semidirect
119. #2556C22semidirect
122. #2534C22semidirect
123. #2532C22semidirect
124. #2532C22semidirect
125. #2532C22semidirect
126. #2531C22semidirect
127. #2527C22semidirect
128. #2527C22semidirect
129. #2526C22semidirect
130. #2519C22semidirect
131. #2518C22semidirect
132. #2518C22semidirect
133. #2514C22semidirect
134. #2512C22semidirect
135. #2510C22semidirect
136. #2506C22semidirect
137. #2506C22semidirect
138. #2502C22semidirect
140. #2498C22semidirect
141. #2498C22semidirect
142. #2497C22semidirect
143. #2497C22semidirect
144. #2492C22semidirect
145. #2490C22semidirect
146. #2490C22semidirect
147. #2488C22semidirect
149. #2481C22semidirect
150. #2480C22semidirect
151. #2476C22semidirect
153. #2472C22semidirect
154. #2466C22semidirect
155. #2459C22semidirect
157. #2453C22semidirect
158. #2453C22semidirect
159. #2452C22semidirect
160. #2448C22semidirect
161. #2447C22semidirect
162. #2442C22semidirect
163. #2441C22semidirect
164. #2441C22semidirect
165. #2440C22semidirect
166. #2439C22semidirect
167. #2438C22semidirect
170. #2435C22semidirect
171. #2429C22semidirect
172. #2427C22semidirect
173. #2426C22semidirect
174. #2426C22semidirect
175. #2423C22semidirect
176. #2420C22semidirect
177. #2419C22semidirect
178. #2418C22semidirect
179. #2417C22semidirect
185. #2415C22semidirect
186. #2415C22semidirect
187. #2415C22semidirect
188. #2415C22semidirect
189. #2413C22semidirect
191. #2411C22semidirect
196. #2378C22semidirect
197. #2363C22semidirect
198. #2363C22semidirect
201. #2360C22semidirect
202. #2360C22semidirect
203. #2359C22semidirect
204. #2359C22semidirect
205. #2353C22semidirect
206. #2344C22semidirect
208. #2342C22semidirect
209. Q8×C22⋊C4C22semidirect
211. #2329C22semidirect
212. #2329C22semidirect
213. #2324C22semidirect
214. #2324C22semidirect
215. #2324C22semidirect
216. #2323C22semidirect
217. #2323C22semidirect
218. #2323C22semidirect
221. #2319C22semidirect
222. #2319C22semidirect
223. #2317C22semidirect
224. #2317C22semidirect
225. #2316C22semidirect
226. #2316C22semidirect
227. #2316C22semidirect
228. #2316C22semidirect
229. #2316C22semidirect
230. #2314C22semidirect
231. #2313C22semidirect
233. #2312C22semidirect
234. #2312C22semidirect
236. #2309C22semidirect
238. C4×C4⋊Q8C22semidirect
239. C4×#124C22semidirect
242. #2295C22semidirect
243. C2×#391C22semidirect
246. #2293C22semidirect
247. #2293C22semidirect
248. #2293C22semidirect
249. C2×#389C22semidirect
250. C2×#389C22semidirect
251. C2×#388C22semidirect
254. #2280C22semidirect
256. C2×#380C22semidirect
257. #2274C22semidirect
258. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#496302
#496272
#472292
#464622
#439302
#435082
#395542
#395512
#395492
#394992
#394872
#394242
#382192
#382122
#378512
#376652
#374512
#373692
#373652
#363062
#362652
#356112
#355992
#352532
#350002
C2×#24152
#343802
#342042
#340582