Finite Group Databasebeta

← #8418692

Subgroups — #8418692

Order 512.

5293 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57859C214yesmaximal, complemented
2#56354C214yesmaximal, complemented
3#55423C214yesmaximal, complemented
4#55328C214yesmaximal, complemented
5#54816C214yesmaximal, complemented
6#53532C214yesmaximal, complemented
7#53071C212yesmaximal, complemented
8#52977C212yesmaximal, complemented
9#52587C214yesmaximal, complemented
10#52310C214yesmaximal, complemented
11#45388C211yesmaximal, characteristic, complemented
12#45355C211yesmaximal, characteristic, complemented
13#45312C211yesmaximal, characteristic, complemented
14#45211C211yesmaximal, characteristic, complemented
15#44903C212yesmaximal, complemented
16#44874C212yesmaximal, complemented
17#42975C212yesmaximal, complemented
18#42882C211yesmaximal, characteristic, complemented
19#42664C212yesmaximal, complemented
20#42475C212yesmaximal, complemented
21#42426C211yesmaximal, characteristic, complemented
22#42426C212yesmaximal, complemented
23#39500C211yesmaximal, characteristic, complemented
24#39374C211yesmaximal, characteristic, complemented
25#38957C211yesmaximal, characteristic, complemented
26#38953C211yesmaximal, characteristic, complemented
27#37322C211yesmaximal, characteristic, complemented
28#36692C211yesmaximal, characteristic, complemented
29#36022C211yesmaximal, characteristic, complemented
30#35691C211yesmaximal, characteristic, complemented
31#35536C211yesmaximal, characteristic, complemented
32C2×#556C2211yescharacteristic, complemented
33C2×#555C2211yescharacteristic, complemented
34C2×D42C2211yescharacteristic
35C2×D42C2212yes—
36C2×D42C2211yescharacteristic, complemented
37C2×D42C2212yescomplemented
38C2×#542C2212yescomplemented
39C2×#542C2211yescharacteristic, complemented
40C2×#518C2211yescharacteristic, complemented
41#2862C2211yescharacteristic, complemented
42#2858C2211yescharacteristic, complemented
43#2837C2212yescomplemented
44#2837C2212yescomplemented
45#2836C2212yescomplemented
46#2836C2212yescomplemented
47#2832C2214yescomplemented
48#2829C2214yescomplemented
49#2829C2212yescomplemented
50#2829C2212yescomplemented
51#2828C2212yescomplemented
52#2828C2214yescomplemented
53#2828C2214yescomplemented
54#2828C2212yescomplemented
55#2828C2214yescomplemented
56#2826C2214yescomplemented
57#2824C2214yescomplemented
58#2819C2214yescomplemented
59#2819C2212yescomplemented
60#2816C2214yescomplemented
61#2816C2212yescomplemented
62#2813C2214yescomplemented
63#2812C2214yescomplemented
64#2812C2214yescomplemented
65#2808C2214yescomplemented
66#2803C2214yescomplemented
67#2800C2214yescomplemented
68#2781C2214yescomplemented
69#2761C2214yescomplemented
70#2753C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2751C2214yescomplemented
74#2743C2214yescomplemented
75#2736C2214yescomplemented
76#2735C2214yescomplemented
77#2733C2214yescomplemented
78#2733C2214yescomplemented
79#2730C2214yescomplemented
80#2730C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2712C2214yescomplemented
84#2710C2214yescomplemented
85#2710C2214yescomplemented
86#2705C2214yescomplemented
87#2702C2214yescomplemented
88#2702C2214yescomplemented
89#2701C2214yescomplemented
90#2700C2214yescomplemented
91#2699C2214yescomplemented
92#2697C2214yescomplemented
93#2697C2214yescomplemented
94#2696C2214yescomplemented
95#2689C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2685C2214yescomplemented
103#2685C2214yescomplemented
104#2685C2214yescomplemented
105#2685C2214yescomplemented
106#2684C2214yescomplemented
107#2681C2214yescomplemented
108#2679C2214yescomplemented
109#2678C2214yescomplemented
110#2678C2214yescomplemented
111#2678C2214yescomplemented
112#2672C2214yescomplemented
113#2670C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2214yescomplemented
116#2670C2214yescomplemented
117#2670C2214yescomplemented
118#2670C2214yescomplemented
119#2668C2214yescomplemented
120#2668C2214yescomplemented
121#2662C2214yescomplemented
122#2662C2212yescomplemented
123#2662C2214yescomplemented
124#2661C2214yescomplemented
125#2661C2212yescomplemented
126#2654C2214yescomplemented
127#2648C2214yescomplemented
128#2637C2212yescomplemented
129#2635C2212yescomplemented
130#2628C2212yescomplemented
131#2628C2211yescharacteristic, complemented
132#2620C2212yescomplemented
133#2619C2211yescharacteristic
134#2619C2212yescomplemented
135#2619C2212yescomplemented
136#2617C2212yescomplemented
137#2613C2212yescomplemented
138#2613C2214yescomplemented
139#2613C2214yescomplemented
140#2613C2214yescomplemented
141#2593C2214yescomplemented
142#2592C2212yescomplemented
143#2571C2212yescomplemented
144#2563C2211yescharacteristic, complemented
145#2563C2211yescharacteristic, complemented
146#2561C2214yescomplemented
147#2560C2214yescomplemented
148#2559C2214yescomplemented
149#2559C2214yescomplemented
150#2554C2214yescomplemented
151#2553C2214yescomplemented
152#2548C2211yescharacteristic, complemented
153#2548C2212yescomplemented
154#2544C2211yescharacteristic
155#2544C2211yescharacteristic, complemented
156#2543C2212yescomplemented
157#2542C2211yescharacteristic, complemented
158#2542C2211yescharacteristic, complemented
159#2541C2211yescharacteristic
160#2540C2212yescomplemented
161#2540C2212yescomplemented
162#2539C2212yescomplemented
163#2536C2211yescharacteristic, complemented
164#2536C2212yescomplemented
165#2535C2211yescharacteristic
166#2535C2211yescharacteristic, complemented
167#2535C2212yescomplemented
168#2535C2211yescharacteristic, complemented
169#2521C2214yescomplemented
170#2516C2214yescomplemented
171#2516C2214yescomplemented
172#2513C2212yescomplemented
173#2512C2212yescomplemented
174#2512C2212yescomplemented
175#2500C2212yescomplemented
176#2500C2212yescomplemented
177#2500C2211yescharacteristic, complemented
178#2499C2211yescharacteristic, complemented
179#2491C2212yescomplemented
180#2491C2212yescomplemented
181#2491C2212yescomplemented
182#2491C2212yescomplemented
183#2488C2214yescomplemented
184#2488C2214yescomplemented
185#2482C2212yescomplemented
186#2479C2214yescomplemented
187#2472C2214yescomplemented
188#2472C2214yescomplemented
189#2472C2214yescomplemented
190#2472C2214yescomplemented
191#2467C2214yescomplemented
192#2463C2214yescomplemented
193#2461C2214yescomplemented
194#2459C2214yescomplemented
195#2459C2214yescomplemented
196#2452C2212yescomplemented
197#2448C2214yescomplemented
198#2445C2212yes—
199#2445C2212yescomplemented
200#2439C2212yescomplemented
201#2435C2214yescomplemented
202#2435C2214yescomplemented
203#2435C2214yescomplemented
204#2435C2212yescomplemented
205#2435C2212yescomplemented
206#2435C2212yescomplemented
207#2435C2211yescharacteristic, complemented
208#2433C2211yescharacteristic
209#2433C2212yescomplemented
210#2428C2212yescomplemented
211#2426C2214yescomplemented
212#2426C2212yescomplemented
213#2424C2214yescomplemented
214#2422C2212yescomplemented
215#2421C2212yescomplemented
216#2420C2212yescomplemented
217#2420C2212yescomplemented
218#2418C2214yescomplemented
219#2415C2212yescomplemented
220#2414C2214yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2414C2212yescomplemented
224#2410C2214yescomplemented
225#2408C2212yes—
226#2408C2214yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2408C2212yescomplemented
230#2408C2212yescomplemented
231#2405C2214yescomplemented
232#2403C2214yescomplemented
233#2403C2214yescomplemented
234#2403C2214yescomplemented
235#2402C2211yescharacteristic, complemented
236#2397C2211yescharacteristic, complemented
237#2395C2212yescomplemented
238#2395C2212yescomplemented
239#2395C2212yescomplemented
240#2392C2211yescharacteristic, complemented
241#2392C2212yescomplemented
242#2392C2211yescharacteristic, complemented
243#2392C2212yescomplemented
244C2×#392C2212yescomplemented
245#2367C2212yescomplemented
246#2363C2212yescomplemented
247#2357C2211yescharacteristic, complemented
248#2357C2211yescharacteristic, complemented
249#2357C2212yescomplemented
250#2354C2212yescomplemented
251#2354C2212yescomplemented
252#2351C2211yescharacteristic, complemented
253#2349C2211yescharacteristic, complemented
254D4×C22⋊C4C2212yescomplemented
255#2331C2211yescharacteristic, complemented
256#2328C2211yescharacteristic
257#2328C2211yescharacteristic, complemented
258#2326C2211yescharacteristic, complemented
259#2314C2212yescomplemented
260#2309C2212yescomplemented
261#2309C2212yescomplemented
262C4×#127C2211yescharacteristic, complemented
263C4×#124C2211yescharacteristic, complemented
264#2298C2211yescharacteristic, complemented
265#2293C2211yescharacteristic, complemented
266#2293C2211yescharacteristic, complemented
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2314yes—
272C23×D4C2312yes—
273C23×D4C2312yes—
274#556—44no—
275#555—44no—
276D42—44no—
277D42—44no—
278D42—48no—
279D42—48no—
280#542—44no—
281#542—48no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2312yes—
289C2×#126C2312yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#124C2311yescharacteristic
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2311yescharacteristic
298C2×#124C2312yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2311yescharacteristic
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348#518—44no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#399C2314yes—
388#399C2314yes—
389#399C2312yes—
390#399C2312yes—
391#399C2312yes—
392#399C2312yes—
393#399C2314yes—
394#399C2312yes—
395#399C2312yes—
396#399C2312yes—
397#399C2314yes—
398#398C2312yes—
399#398C2312yes—
400#398C2311yescharacteristic
401#398C2314yes—
402#398C2312yes—
403#398C2312yes—
404#398C2312yes—
405#398C2311yescharacteristic
406#398C2312yes—
407#398C2312yes—
408#397C2314yes—
409#397C2312yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2312yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2311yescharacteristic
426#397C2311yescharacteristic
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2311yescharacteristic
489#394C2311yescharacteristic
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#393C2312yes—
517#393C2314yes—
518#393C2314yes—
519#392C2311yescharacteristic
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2312yes—
526#392C2314yes—
527#392C2312yes—
528#392C2312yes—
529#392C2311yescharacteristic
530#392C2314yes—
531#392C2314yes—
532#392C2312yes—
533#392C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#392C2312yes—
547#392C2312yes—
548#392C2312yes—
549#392C2314yes—
550#391C2314yes—
551#391C2311yescharacteristic
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2311yescharacteristic
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2314yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#381C2314yes—
690#381C2312yes—
691#381C2314yes—
692#381C2312yes—
693#381C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706#379C2314yes—
707#379C2314yes—
708#379C2314yes—
709#379C2314yes—
710#379C2314yes—
711#379C2314yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2314yes—
740#376C2311yescharacteristic
741C2×#95C2312yes—
742C43C2311yescharacteristic
743C25C2412yes—
744C25C2414yes—
745C25C2414yes—
746C22×Q8C2411yescharacteristic
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2414yes—
750C22×D4—24no—
751C22×D4—28no—
752C22×D4—42no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—44no—
760C22×D4—44no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—84no—
764C22×D4—84no—
765C22×D4—84no—
766C22×D4—84no—
767C22×D4—84no—
768C22×D4—84no—
769C22×D4C2411yescharacteristic
770C22×D4C2411yescharacteristic
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C22×D4C2411yescharacteristic
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C23×C4C2411yescharacteristic
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C4⋊Q8—24no—
807C4⋊Q8—42no—
808C4⋊Q8—44no—
809#127—24no—
810#127—24no—
811#127—42no—
812#127—44no—
813#126—44no—
814#126—48no—
815#126—48no—
816#126—84no—
817#126—84no—
818#124—24no—
819#124—44no—
820#124—44no—
821#124—42no—
822#124—42no—
823#124—44no—
824#124—48no—
825#124—48no—
826#124—84no—
827#124—84no—
828#124—84no—
829#124—84no—
830#124—84no—
831#123—44no—
832#123—48no—
833#123—84no—
834#123—84no—
835#123—84no—
836C22⋊Q8—48no—
837C22⋊Q8—44no—
838C22⋊Q8—42no—
839C22⋊Q8—44no—
840C22⋊Q8—44no—
841C22⋊Q8—84no—
842C22⋊Q8—84no—
843C22⋊Q8—84no—
844#121—28no—
845#121—48no—
846#121—42no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—48no—
857#121—84no—
858#121—84no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—48no—
865#120—84no—
866#120—84no—
867#120—84no—
868#120—84no—
869#120—84no—
870#120—84no—
871#120—84no—
872C4×Q8—24no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×D4—28no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—42no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—84no—
891#117—24no—
892#117—44no—
893#117—44no—
894#117—42no—
895#117—44no—
896#117—44no—
897#117—44no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—84no—
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092C24—24no—
1093C24—28no—
1094C24—42no—
1095C24—42no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24C2511yescharacteristic
1112C24C2512yes—
1113C24C2512yes—
1114C24C2512yes—
1115C24C2514yes—
1116C24C2512yes—
1117C24C2512yes—
1118C2×Q8—22no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—22no—
1122C2×Q8—44no—
1123C2×Q8—42no—
1124C2×Q8—44no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—24no—
1140C2×D4—22no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—416no—
1204C2×D4—816no—
1205C2×D4—816no—
1206C2×D4—816no—
1207C2×D4—816no—
1208C2×D4—832no—
1209C2×D4—832no—
1210C2×D4H(5,𝔽2)14yes—
1211C22×C4—28no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C42—22no—
1388C42—22no—
1389C42—24no—
1390C42—22no—
1391C42—24no—
1392C42—22no—
1393C42—24no—
1394C42—22no—
1395C42—44no—
1396C42—42no—
1397C42—44no—
1398C42—42no—
1399C42—44no—
1400C42—42no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42H(5,𝔽2)14yes—
1405C23—22no—
1406C23—22no—
1407C23—24no—
1408C23—24no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—24no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—22no—
1430C23—24no—
1431C23—24no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—24no—
1436C23—24no—
1437C23—22no—
1438C23—24no—
1439C23—24no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—48no—
1446C23—88no—
1447C23—88no—
1448C23—88no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—88no—
1455C23—164no—
1456C23—164no—
1457C23—162no—
1458C23—162no—
1459C23—164no—
1460C23—164no—
1461C23—164no—
1462C23—164no—
1463C23—164no—
1464C23C2×H(5,𝔽2)14yes—
1465C23C2611yescharacteristic
1466Q8—44no—
1467Q8—84no—
1468Q8—164no—
1469Q8—162no—
1470D4—28no—
1471D4—44no—
1472D4—44no—
1473D4—48no—
1474D4—48no—
1475D4—48no—
1476D4—44no—
1477D4—44no—
1478D4—48no—
1479D4—84no—
1480D4—84no—
1481D4—88no—
1482D4—88no—
1483D4—88no—
1484D4—84no—
1485D4—84no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489D4—88no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—164no—
1495D4—164no—
1496D4—162no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—44no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—84no—
1560C2×C4—84no—
1561C2×C4—84no—
1562C2×C4—88no—
1563C2×C4—88no—
1564C2×C4—162no—
1565C2×C4—162no—
1566C2×C4C2×H(5,𝔽2)12yes—
1567C2×C4C2×H(5,𝔽2)12yes—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C2×C4C2×H(5,𝔽2)12yes—
1570C2×C4#58512yes—
1571C22—28no—
1572C22—24no—
1573C22—44no—
1574C22—42no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—44no—
1582C22—44no—
1583C22—44no—
1584C22—42no—
1585C22—44no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—44no—
1591C22—42no—
1592C22—44no—
1593C22—44no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—44no—
1600C22—44no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—42no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—168no—
1613C22—1616no—
1614C22—1616no—
1615C22C22×H(5,𝔽2)11yescharacteristic
1616C22C22×H(5,𝔽2)11yescharacteristic
1617C22C2×#58511yescharacteristic
1618C22H(7,𝔽2)12yes—
1619C22H(7,𝔽2)12yes—
1620C4—22no—
1621C4—22no—
1622C4—42no—
1623C4—42no—
1624C4—44no—
1625C4—44no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—41no—
1636C4—41no—
1637C4—44no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4#354214yes—
1644C2—44no—
1645C2—82no—
1646C2—84no—
1647C2—81no—
1648C2—82no—
1649C2—82no—
1650C2—82no—
1651C2C2×#354211yescharacteristic
1652C2#6287611yescharacteristic
1653C2#6287611yescharacteristic
1654C2#6304512yes—
1655C2#6305112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #57859C2semidirect
2. #56354C2semidirect
3. #55423C2semidirect
4. #55328C2semidirect
5. #54816C2semidirect
6. #53532C2semidirect
7. #53071C2semidirect
8. #52977C2semidirect
9. #52587C2semidirect
10. #52310C2semidirect
11. #45388C2semidirect
12. #45355C2semidirect
13. #45312C2semidirect
14. #45211C2semidirect
15. #44903C2semidirect
16. #44874C2semidirect
17. #42975C2semidirect
18. #42882C2semidirect
19. #42664C2semidirect
20. #42475C2semidirect
21. #42426C2semidirect
22. #42426C2semidirect
23. #39500C2semidirect
24. #39374C2semidirect
25. #38957C2semidirect
26. #38953C2semidirect
27. #37322C2semidirect
28. #36692C2semidirect
29. #36022C2semidirect
30. #35691C2semidirect
31. #35536C2semidirect
32. C2×#556C22semidirect
33. C2×#555C22semidirect
36. C2×D42C22semidirect
37. C2×D42C22semidirect
38. C2×#542C22semidirect
39. C2×#542C22semidirect
40. C2×#518C22semidirect
41. #2862C22semidirect
42. #2858C22semidirect
43. #2837C22semidirect
44. #2837C22semidirect
45. #2836C22semidirect
46. #2836C22semidirect
47. #2832C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2828C22semidirect
56. #2826C22semidirect
57. #2824C22semidirect
58. #2819C22semidirect
59. #2819C22semidirect
60. #2816C22semidirect
61. #2816C22semidirect
62. #2813C22semidirect
63. #2812C22semidirect
64. #2812C22semidirect
65. #2808C22semidirect
66. #2803C22semidirect
67. #2800C22semidirect
68. #2781C22semidirect
69. #2761C22semidirect
70. #2753C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2751C22semidirect
74. #2743C22semidirect
75. #2736C22semidirect
76. #2735C22semidirect
77. #2733C22semidirect
78. #2733C22semidirect
79. #2730C22semidirect
80. #2730C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2712C22semidirect
84. #2710C22semidirect
85. #2710C22semidirect
86. #2705C22semidirect
87. #2702C22semidirect
88. #2702C22semidirect
89. #2701C22semidirect
90. #2700C22semidirect
91. #2699C22semidirect
92. #2697C22semidirect
93. #2697C22semidirect
94. #2696C22semidirect
95. #2689C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
103. #2685C22semidirect
104. #2685C22semidirect
105. #2685C22semidirect
106. #2684C22semidirect
107. #2681C22semidirect
108. #2679C22semidirect
109. #2678C22semidirect
110. #2678C22semidirect
111. #2678C22semidirect
112. #2672C22semidirect
113. #2670C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2670C22semidirect
118. #2670C22semidirect
119. #2668C22semidirect
120. #2668C22semidirect
121. #2662C22semidirect
122. #2662C22semidirect
123. #2662C22semidirect
124. #2661C22semidirect
125. #2661C22semidirect
126. #2654C22semidirect
127. #2648C22semidirect
128. #2637C22semidirect
129. #2635C22semidirect
130. #2628C22semidirect
131. #2628C22semidirect
132. #2620C22semidirect
134. #2619C22semidirect
135. #2619C22semidirect
136. #2617C22semidirect
137. #2613C22semidirect
138. #2613C22semidirect
139. #2613C22semidirect
140. #2613C22semidirect
141. #2593C22semidirect
142. #2592C22semidirect
143. #2571C22semidirect
144. #2563C22semidirect
145. #2563C22semidirect
146. #2561C22semidirect
147. #2560C22semidirect
148. #2559C22semidirect
149. #2559C22semidirect
150. #2554C22semidirect
151. #2553C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
155. #2544C22semidirect
156. #2543C22semidirect
157. #2542C22semidirect
158. #2542C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
162. #2539C22semidirect
163. #2536C22semidirect
164. #2536C22semidirect
166. #2535C22semidirect
167. #2535C22semidirect
168. #2535C22semidirect
169. #2521C22semidirect
170. #2516C22semidirect
171. #2516C22semidirect
172. #2513C22semidirect
173. #2512C22semidirect
174. #2512C22semidirect
175. #2500C22semidirect
176. #2500C22semidirect
177. #2500C22semidirect
178. #2499C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
182. #2491C22semidirect
183. #2488C22semidirect
184. #2488C22semidirect
185. #2482C22semidirect
186. #2479C22semidirect
187. #2472C22semidirect
188. #2472C22semidirect
189. #2472C22semidirect
190. #2472C22semidirect
191. #2467C22semidirect
192. #2463C22semidirect
193. #2461C22semidirect
194. #2459C22semidirect
195. #2459C22semidirect
196. #2452C22semidirect
197. #2448C22semidirect
199. #2445C22semidirect
200. #2439C22semidirect
201. #2435C22semidirect
202. #2435C22semidirect
203. #2435C22semidirect
204. #2435C22semidirect
205. #2435C22semidirect
206. #2435C22semidirect
207. #2435C22semidirect
209. #2433C22semidirect
210. #2428C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2424C22semidirect
214. #2422C22semidirect
215. #2421C22semidirect
216. #2420C22semidirect
217. #2420C22semidirect
218. #2418C22semidirect
219. #2415C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
224. #2410C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2408C22semidirect
231. #2405C22semidirect
232. #2403C22semidirect
233. #2403C22semidirect
234. #2403C22semidirect
235. #2402C22semidirect
236. #2397C22semidirect
237. #2395C22semidirect
238. #2395C22semidirect
239. #2395C22semidirect
240. #2392C22semidirect
241. #2392C22semidirect
242. #2392C22semidirect
243. #2392C22semidirect
244. C2×#392C22semidirect
245. #2367C22semidirect
246. #2363C22semidirect
247. #2357C22semidirect
248. #2357C22semidirect
249. #2357C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2351C22semidirect
253. #2349C22semidirect
254. D4×C22⋊C4C22semidirect
255. #2331C22semidirect
257. #2328C22semidirect
258. #2326C22semidirect
259. #2314C22semidirect
260. #2309C22semidirect
261. #2309C22semidirect
262. C4×#127C22semidirect
263. C4×#124C22semidirect
264. #2298C22semidirect
265. #2293C22semidirect
266. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#578592
#563542
#554232
#553282
#548162
#535322
#530712
#529772
#525872
#523102
#453882
#453552
#453122
#452112
#449032
#448742
#429752
#428822
#426642
#424752
#424262
#395002
#393742
#389572
#389532
#373222
#366922
#360222
#356912
#355362