Finite Group Databasebeta

← #8402566

Subgroups — #8402566

Order 512.

6289 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59129C212yesmaximal, complemented
2#59124C212yesmaximal, complemented
3#55525C214yesmaximal, complemented
4#54844C214yesmaximal, complemented
5#50652C214yesmaximal, complemented
6#49806C214yesmaximal, complemented
7#48050C214yesmaximal, complemented
8#47928C214yesmaximal, complemented
9#45608C212yesmaximal, complemented
10#45483C212yesmaximal, complemented
11#45312C211yesmaximal, characteristic, complemented
12#45070C211yesmaximal, characteristic, complemented
13#44932C211yesmaximal, characteristic, complemented
14#44932C211yesmaximal, characteristic, complemented
15#43415C214yesmaximal, complemented
16#43019C214yesmaximal, complemented
17#42876C211yesmaximal, characteristic, complemented
18#42426C211yesmaximal, characteristic, complemented
19#40125C212yesmaximal, complemented
20#39888C212yesmaximal, complemented
21#39464C212yesmaximal, complemented
22#39401C212yesmaximal, complemented
23#37319C211yesmaximal, characteristic, complemented
24#36509C211yesmaximal, characteristic, complemented
25#36498C211yesmaximal, characteristic, complemented
26#36128C211yesmaximal, characteristic, complemented
27D4×#127C211yesmaximal, characteristic, complemented
28#36029C211yesmaximal, characteristic, complemented
29#35728C211yesmaximal, characteristic, complemented
30#35535C211yesmaximal, characteristic, complemented
31#34967C211yesmaximal, characteristic, complemented
32C2×#560C2214yescomplemented
33C2×#550C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic, complemented
35C2×#550C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×#546C2212yescomplemented
38C2×#546C2212yescomplemented
39C2×D42C2214yes—
40C2×D42C2211yescharacteristic
41C2×D42C2211yescharacteristic
42C2×#542C2211yescharacteristic, complemented
43C2×#538C2214yescomplemented
44C2×#532C2212yescomplemented
45C22×#127C2212yes—
46C2×#520C2211yescharacteristic, complemented
47#2867C2211yescharacteristic
48#2864C2211yescharacteristic, complemented
49#2856C2212yes—
50#2856C2212yescomplemented
51#2855C2212yescomplemented
52#2854C2212yescomplemented
53#2829C2214yescomplemented
54#2818C2212yescomplemented
55#2816C2212yescomplemented
56#2813C2214yescomplemented
57#2803C2214yescomplemented
58#2784C2214yescomplemented
59#2780C2214yescomplemented
60#2753C2214yescomplemented
61#2749C2214yescomplemented
62#2714C2214yescomplemented
63#2709C2214yescomplemented
64#2709C2214yescomplemented
65#2709C2214yescomplemented
66#2709C2214yescomplemented
67#2705C2214yescomplemented
68#2703C2214yescomplemented
69#2701C2214yescomplemented
70#2699C2214yescomplemented
71#2699C2214yescomplemented
72#2696C2214yescomplemented
73#2691C2214yescomplemented
74#2691C2214yescomplemented
75#2688C2214yescomplemented
76#2686C2214yescomplemented
77#2685C2214yescomplemented
78#2685C2214yescomplemented
79#2685C2214yescomplemented
80#2682C2214yescomplemented
81#2682C2214yescomplemented
82#2678C2214yescomplemented
83#2678C2214yescomplemented
84#2678C2214yescomplemented
85#2676C2214yescomplemented
86#2676C2214yescomplemented
87#2675C2214yescomplemented
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2670C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2668C2214yescomplemented
104#2668C2214yescomplemented
105#2662C2214yescomplemented
106#2661C2212yescomplemented
107#2657C2212yescomplemented
108#2635C2214yescomplemented
109#2631C2212yescomplemented
110#2630C2214yescomplemented
111#2619C2212yescomplemented
112#2619C2211yescharacteristic, complemented
113#2619C2211yescharacteristic, complemented
114#2618C2212yescomplemented
115#2613C2212yes—
116#2613C2214yescomplemented
117#2603C2214yescomplemented
118#2603C2212yescomplemented
119#2602C2214yescomplemented
120#2597C2214yescomplemented
121#2590C2214yescomplemented
122#2567C2211yescharacteristic, complemented
123#2559C2214yescomplemented
124#2559C2214yescomplemented
125#2555C2214yescomplemented
126#2554C2214yescomplemented
127#2548C2211yescharacteristic, complemented
128#2548C2212yescomplemented
129#2548C2211yescharacteristic, complemented
130#2545C2211yescharacteristic, complemented
131#2544C2211yescharacteristic
132#2544C2212yescomplemented
133#2543C2212yescomplemented
134#2542C2211yescharacteristic, complemented
135#2541C2211yescharacteristic
136#2541C2211yescharacteristic
137#2541C2214yes—
138#2541C2214yescomplemented
139#2541C2212yescomplemented
140#2541C2214yescomplemented
141#2541C2212yescomplemented
142#2540C2212yescomplemented
143#2537C2212yescomplemented
144#2537C2212yescomplemented
145#2536C2211yescharacteristic
146#2536C2211yescharacteristic
147#2535C2211yescharacteristic, complemented
148#2535C2211yescharacteristic, complemented
149#2535C2212yescomplemented
150#2534C2214yescomplemented
151#2522C2212yescomplemented
152#2522C2212yescomplemented
153#2516C2212yescomplemented
154#2516C2212yescomplemented
155#2515C2214yescomplemented
156#2512C2212yescomplemented
157#2512C2212yescomplemented
158#2502C2211yescharacteristic, complemented
159#2501C2211yescharacteristic, complemented
160#2497C2212yescomplemented
161#2496C2212yescomplemented
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2479C2214yescomplemented
165#2472C2214yescomplemented
166#2467C2214yescomplemented
167#2466C2214yes—
168#2464C2212yes—
169#2464C2214yescomplemented
170#2464C2212yescomplemented
171#2461C2214yescomplemented
172#2457C2212yes—
173#2457C2214yescomplemented
174#2457C2212yescomplemented
175#2456C2214yescomplemented
176#2455C2214yescomplemented
177#2455C2214yescomplemented
178#2449C2214yescomplemented
179#2447C2212yescomplemented
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2445C2214yescomplemented
183#2445C2212yescomplemented
184#2444C2214yescomplemented
185#2435C2212yes—
186#2435C2212yescomplemented
187#2433C2214yes—
188#2433C2214yes—
189#2433C2212yes—
190#2433C2212yes—
191#2433C2214yescomplemented
192#2432C2211yescharacteristic, complemented
193#2431C2211yescharacteristic
194#2431C2212yescomplemented
195#2431C2212yescomplemented
196#2431C2212yescomplemented
197#2429C2212yescomplemented
198#2428C2212yes—
199#2428C2214yescomplemented
200#2428C2214yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2214yescomplemented
204#2428C2214yescomplemented
205#2428C2212yescomplemented
206#2426C2212yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2418C2214yescomplemented
211#2418C2214yescomplemented
212#2416C2214yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2411C2214yescomplemented
216#2410C2214yes—
217#2410C2214yes—
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2408C2212yes—
222#2408C2212yescomplemented
223#2408C2212yescomplemented
224#2408C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2405C2214yescomplemented
229#2402C2211yescharacteristic, complemented
230#2397C2211yescharacteristic
231#2392C2211yescharacteristic
232#2392C2211yescharacteristic, complemented
233#2392C2212yescomplemented
234C2×#394C2212yes—
235#2377C2214yescomplemented
236#2373C2214yescomplemented
237#2367C2212yescomplemented
238#2366C2212yescomplemented
239#2366C2214yescomplemented
240#2364C2214yescomplemented
241#2358C2214yescomplemented
242#2357C2211yescharacteristic, complemented
243#2356C2211yescharacteristic, complemented
244#2351C2211yescharacteristic, complemented
245#2349C2211yescharacteristic, complemented
246#2341C2212yescomplemented
247D4×C22⋊C4C2214yescomplemented
248D4×C22⋊C4C2212yescomplemented
249#2335C2214yescomplemented
250#2328C2211yescharacteristic, complemented
251#2328C2211yescharacteristic, complemented
252#2326C2211yescharacteristic, complemented
253#2326C2211yescharacteristic, complemented
254#2321C2214yescomplemented
255#2308C2214yescomplemented
256C4×C4⋊Q8C2211yescharacteristic, complemented
257C4×#127C2211yescharacteristic
258C4×C22⋊Q8C2212yescomplemented
259C4×#123C2212yescomplemented
260C4×#123C2212yescomplemented
261C4×#121C2212yescomplemented
262C4×#121C2212yescomplemented
263C4×#121C2212yescomplemented
264#2298C2211yescharacteristic, complemented
265C42×D4C2211yescharacteristic
266C42×D4C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C23×D4C2312yes—
271C23×D4C2314yes—
272C23×D4C2314yes—
273C23×D4C2312yes—
274C23×D4C2312yes—
275C23×D4C2312yes—
276#560—416no—
277#550—44no—
278#550—44no—
279#550—48no—
280#546—48no—
281#546—48no—
282#546—48no—
283D42—44no—
284D42—44no—
285D42—416no—
286#542—44no—
287#538—416no—
288#532—48no—
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2311yescharacteristic
291C2×#127—48no—
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294C2×#127C2311yescharacteristic
295C2×#127C2312yes—
296C2×#127C2312yes—
297C2×#127C2312yes—
298C2×#127C2312yes—
299C2×#127C2314yes—
300C2×#127C2314yes—
301C2×#127C2312yes—
302C2×#127C2314yes—
303C2×#127C2314yes—
304C2×#127C2314yes—
305C2×#127C2314yes—
306C2×#127C2312yes—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#124C2311yescharacteristic
312C2×#124C2311yescharacteristic
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2314yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383#520—44no—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C42C2312yes—
421C22×C42C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2312yes—
430#399C2314yes—
431#398C2311yescharacteristic
432#398C2312yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2311yescharacteristic
437#398C2312yes—
438#398C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2311yescharacteristic
445#397C2311yescharacteristic
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2311yescharacteristic
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2311yescharacteristic
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2312yes—
516#392C2311yescharacteristic
517#392C2312yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2312yes—
525#392C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2311yescharacteristic
531#392C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2312yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
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#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#383C2312yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2312yes—
696#381C2312yes—
697#381C2312yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#380C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#379C2314yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716#379C2314yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2311yescharacteristic
741C4×C22⋊C4C2311yescharacteristic
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2312yes—
745#376C2311yescharacteristic
746#376C2312yes—
747C2×#95C2312yes—
748C43C2311yescharacteristic
749C25C2414yes—
750C25C2414yes—
751C2×#41—24no—
752C2×#41—28no—
753C2×#41—24no—
754C2×#41—42no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—44no—
760C22×Q8C2411yescharacteristic
761C22×Q8C2411yescharacteristic
762C22×Q8C2412yes—
763C22×D4—28no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—44no—
767C22×D4—48no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—44no—
772C22×D4—48no—
773C22×D4—48no—
774C22×D4—48no—
775C22×D4—48no—
776C22×D4—48no—
777C22×D4—48no—
778C22×D4—48no—
779C22×D4C2411yescharacteristic
780C22×D4C2411yescharacteristic
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2411yescharacteristic
787C22×D4C2411yescharacteristic
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2412yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C23×C4C2411yescharacteristic
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C4⋊Q8—24no—
834C4⋊Q8—42no—
835#127—24no—
836#127—28no—
837#127—24no—
838#127—24no—
839#127—44no—
840#127—44no—
841#127—48no—
842#127—44no—
843#127—48no—
844#127—44no—
845#127—44no—
846#127—48no—
847#127—48no—
848#127—48no—
849#127—48no—
850#126—216no—
851#126—44no—
852#126—48no—
853#126—48no—
854#124—28no—
855#124—24no—
856#124—24no—
857#124—48no—
858#124—44no—
859#124—44no—
860#124—42no—
861#124—48no—
862#123—28no—
863#123—48no—
864#123—48no—
865#123—44no—
866#123—44no—
867#123—48no—
868#123—48no—
869#123—48no—
870#123—48no—
871#123—48no—
872#123—48no—
873C22⋊Q8—28no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—42no—
877C22⋊Q8—44no—
878#121—28no—
879#121—28no—
880#121—44no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—48no—
886#121—48no—
887#121—48no—
888#121—48no—
889#121—48no—
890#121—48no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—48no—
895#121—48no—
896#121—48no—
897#121—48no—
898#121—48no—
899#121—48no—
900#121—48no—
901#121—42no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—48no—
912#121—48no—
913#121—48no—
914#120—216no—
915#120—216no—
916#120—48no—
917#120—48no—
918#120—48no—
919#120—48no—
920#120—48no—
921#120—48no—
922#120—48no—
923#120—48no—
924#120—48no—
925#120—48no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—42no—
929C4×Q8—44no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—42no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—48no—
954#117—24no—
955#117—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—42no—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C22⋊C4—48no—
999C2×C22⋊C4—48no—
1000C2×C22⋊C4—48no—
1001C2×C22⋊C4—48no—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C42—44no—
1077C2×C42—44no—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24—28no—
1141C24—28no—
1142C24—28no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24—44no—
1148C24—44no—
1149C24—44no—
1150C24—44no—
1151C24—44no—
1152C24—44no—
1153C24—44no—
1154C24C2512yes—
1155C24C2514yes—
1156C24C2514yes—
1157C24C2511yescharacteristic
1158C24C2512yes—
1159C24C2512yes—
1160C24C2512yes—
1161#41—416no—
1162#41—816no—
1163#41—816no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8H(5,𝔽2)14yes—
1172C2×D4—24no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—816no—
1276C2×D4—832no—
1277C2×D4—816no—
1278C2×D4—832no—
1279C2×D4—816no—
1280C2×D4—816no—
1281C2×D4H(5,𝔽2)14yes—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4H(5,𝔽2)18yes—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—28no—
1478C42—24no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—42no—
1483C42—42no—
1484C42—44no—
1485C42—44no—
1486C42H(5,𝔽2)14yes—
1487C23—22no—
1488C23—22no—
1489C23—24no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—24no—
1497C23—21no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—24no—
1502C23—22no—
1503C23—24no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—24no—
1508C23—24no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—24no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—24no—
1524C23—24no—
1525C23—24no—
1526C23—24no—
1527C23—24no—
1528C23—416no—
1529C23—88no—
1530C23—88no—
1531C23—88no—
1532C23—88no—
1533C23—88no—
1534C23—88no—
1535C23—88no—
1536C23—88no—
1537C23—88no—
1538C23—164no—
1539C23—164no—
1540C23—164no—
1541C23—164no—
1542C23C2×H(5,𝔽2)14yes—
1543C23C2×H(5,𝔽2)14yes—
1544C23C2611yescharacteristic
1545Q8—28no—
1546Q8—44no—
1547Q8—162no—
1548D4—28no—
1549D4—28no—
1550D4—416no—
1551D4—416no—
1552D4—48no—
1553D4—44no—
1554D4—44no—
1555D4—48no—
1556D4—48no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—84no—
1561D4—84no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—84no—
1566D4—84no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—84no—
1571D4—84no—
1572D4—88no—
1573D4—88no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—164no—
1580D4—164no—
1581D4—164no—
1582D4—164no—
1583D4—162no—
1584D4—164no—
1585C2×C4—22no—
1586C2×C4—22no—
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—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—164no—
1653C2×C4—164no—
1654C2×C4—164no—
1655C2×C4—162no—
1656C2×C4—162no—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)14yes—
1659C2×C4C2×H(5,𝔽2)14yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4#58514yes—
1666C22—24no—
1667C22—24no—
1668C22—28no—
1669C22—24no—
1670C22—24no—
1671C22—42no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—41no—
1679C22—42no—
1680C22—44no—
1681C22—44no—
1682C22—42no—
1683C22—44no—
1684C22—44no—
1685C22—44no—
1686C22—44no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—44no—
1697C22—44no—
1698C22—44no—
1699C22—42no—
1700C22—41no—
1701C22—44no—
1702C22—44no—
1703C22—42no—
1704C22—42no—
1705C22—44no—
1706C22—44no—
1707C22—41no—
1708C22—42no—
1709C22—1616no—
1710C22—1616no—
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)12yes—
1715C22C2×#58512yes—
1716C4—24no—
1717C4—24no—
1718C4—24no—
1719C4—24no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—44no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—42no—
1738C4—41no—
1739C4#353714yes—
1740C2—44no—
1741C2—44no—
1742C2—81no—
1743C2—82no—
1744C2—84no—
1745C2—84no—
1746C2—82no—
1747C2C2×#353711yescharacteristic
1748C2#6283211yescharacteristic
1749C2#6283611yescharacteristic
1750C2#6301212yes—
1751C2#6301412yes—
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. #59129C2semidirect
2. #59124C2semidirect
3. #55525C2semidirect
4. #54844C2semidirect
5. #50652C2semidirect
6. #49806C2semidirect
7. #48050C2semidirect
8. #47928C2semidirect
9. #45608C2semidirect
10. #45483C2semidirect
11. #45312C2semidirect
12. #45070C2semidirect
13. #44932C2semidirect
14. #44932C2semidirect
15. #43415C2semidirect
16. #43019C2semidirect
17. #42876C2semidirect
18. #42426C2semidirect
19. #40125C2semidirect
20. #39888C2semidirect
21. #39464C2semidirect
22. #39401C2semidirect
23. #37319C2semidirect
24. #36509C2semidirect
25. #36498C2semidirect
26. #36128C2semidirect
27. D4×#127C2semidirect
28. #36029C2semidirect
29. #35728C2semidirect
30. #35535C2semidirect
31. #34967C2semidirect
32. C2×#560C22semidirect
33. C2×#550C22semidirect
34. C2×#550C22semidirect
35. C2×#550C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
38. C2×#546C22semidirect
42. C2×#542C22semidirect
43. C2×#538C22semidirect
44. C2×#532C22semidirect
46. C2×#520C22semidirect
48. #2864C22semidirect
50. #2856C22semidirect
51. #2855C22semidirect
52. #2854C22semidirect
53. #2829C22semidirect
54. #2818C22semidirect
55. #2816C22semidirect
56. #2813C22semidirect
57. #2803C22semidirect
58. #2784C22semidirect
59. #2780C22semidirect
60. #2753C22semidirect
61. #2749C22semidirect
62. #2714C22semidirect
63. #2709C22semidirect
64. #2709C22semidirect
65. #2709C22semidirect
66. #2709C22semidirect
67. #2705C22semidirect
68. #2703C22semidirect
69. #2701C22semidirect
70. #2699C22semidirect
71. #2699C22semidirect
72. #2696C22semidirect
73. #2691C22semidirect
74. #2691C22semidirect
75. #2688C22semidirect
76. #2686C22semidirect
77. #2685C22semidirect
78. #2685C22semidirect
79. #2685C22semidirect
80. #2682C22semidirect
81. #2682C22semidirect
82. #2678C22semidirect
83. #2678C22semidirect
84. #2678C22semidirect
85. #2676C22semidirect
86. #2676C22semidirect
87. #2675C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2670C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2668C22semidirect
104. #2668C22semidirect
105. #2662C22semidirect
106. #2661C22semidirect
107. #2657C22semidirect
108. #2635C22semidirect
109. #2631C22semidirect
110. #2630C22semidirect
111. #2619C22semidirect
112. #2619C22semidirect
113. #2619C22semidirect
114. #2618C22semidirect
116. #2613C22semidirect
117. #2603C22semidirect
118. #2603C22semidirect
119. #2602C22semidirect
120. #2597C22semidirect
121. #2590C22semidirect
122. #2567C22semidirect
123. #2559C22semidirect
124. #2559C22semidirect
125. #2555C22semidirect
126. #2554C22semidirect
127. #2548C22semidirect
128. #2548C22semidirect
129. #2548C22semidirect
130. #2545C22semidirect
132. #2544C22semidirect
133. #2543C22semidirect
134. #2542C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2540C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
147. #2535C22semidirect
148. #2535C22semidirect
149. #2535C22semidirect
150. #2534C22semidirect
151. #2522C22semidirect
152. #2522C22semidirect
153. #2516C22semidirect
154. #2516C22semidirect
155. #2515C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2502C22semidirect
159. #2501C22semidirect
160. #2497C22semidirect
161. #2496C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2479C22semidirect
165. #2472C22semidirect
166. #2467C22semidirect
169. #2464C22semidirect
170. #2464C22semidirect
171. #2461C22semidirect
173. #2457C22semidirect
174. #2457C22semidirect
175. #2456C22semidirect
176. #2455C22semidirect
177. #2455C22semidirect
178. #2449C22semidirect
179. #2447C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
186. #2435C22semidirect
191. #2433C22semidirect
192. #2432C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2429C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2426C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2418C22semidirect
211. #2418C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2411C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2405C22semidirect
229. #2402C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
235. #2377C22semidirect
236. #2373C22semidirect
237. #2367C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2364C22semidirect
241. #2358C22semidirect
242. #2357C22semidirect
243. #2356C22semidirect
244. #2351C22semidirect
245. #2349C22semidirect
246. #2341C22semidirect
247. D4×C22⋊C4C22semidirect
248. D4×C22⋊C4C22semidirect
249. #2335C22semidirect
250. #2328C22semidirect
251. #2328C22semidirect
252. #2326C22semidirect
253. #2326C22semidirect
254. #2321C22semidirect
255. #2308C22semidirect
256. C4×C4⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×#123C22semidirect
260. C4×#123C22semidirect
261. C4×#121C22semidirect
262. C4×#121C22semidirect
263. C4×#121C22semidirect
264. #2298C22semidirect
266. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#591292
#591242
#555252
#548442
#506522
#498062
#480502
#479282
#456082
#454832
#453122
#450702
#449322
#434152
#430192
#428762
#424262
#401252
#398882
#394642
#394012
#373192
#365092
#364982
#361282
D4×#1272
#360292
#357282
#355352
#349672