Finite Group Databasebeta

← #7646458

Subgroups — #7646458

Order 512.

5269 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42895C212yesmaximal, complemented
2#42892C212yesmaximal, complemented
3#42617C212yesmaximal, complemented
4#42545C212yesmaximal, complemented
5#41310C214yesmaximal, complemented
6#41158C214yesmaximal, complemented
7#39818C212yesmaximal, complemented
8#39745C211yesmaximal, characteristic, complemented
9#39736C211yesmaximal, characteristic, complemented
10#39386C211yesmaximal, characteristic, complemented
11#39352C211yesmaximal, characteristic, complemented
12#39256C212yesmaximal, complemented
13#39193C211yesmaximal, characteristic, complemented
14#39183C211yesmaximal, characteristic, complemented
15#39138C211yesmaximal, characteristic, complemented
16#39137C211yesmaximal, characteristic, complemented
17#37798C212yesmaximal, complemented
18#37775C212yesmaximal, complemented
19#37587C212yesmaximal, complemented
20#37570C212yesmaximal, complemented
21#36923C214yesmaximal, complemented
22#36853C214yesmaximal, complemented
23#35601C212yesmaximal, complemented
24#35534C212yesmaximal, complemented
25#35278C211yesmaximal, characteristic, complemented
26#35215C212yesmaximal, complemented
27#35215C212yesmaximal, complemented
28#35171C212yesmaximal, complemented
29#35171C212yesmaximal, complemented
30#35171C211yesmaximal, characteristic, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34915C211yesmaximal, characteristic, complemented
33#34313C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#540C2212yes—
39C2×#540C2212yes—
40C2×#540C2212yes—
41C2×#540C2212yes—
42C2×#529C2211yescharacteristic
43C2×#529C2212yes—
44C2×#520C2212yes—
45#2867C2211yescharacteristic
46#2859C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2214yes—
49#2856C2212yes—
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2854C2214yes—
53#2854C2214yes—
54#2852C2214yes—
55#2837C2214yes—
56#2829C2214yes—
57#2828C2214yes—
58#2828C2214yes—
59#2803C2214yes—
60#2802C2214yes—
61#2791C2214yes—
62#2779C2214yes—
63#2778C2214yes—
64#2761C2214yes—
65#2757C2214yes—
66#2756C2214yes—
67#2746C2214yes—
68#2718C2214yes—
69#2714C2214yes—
70#2714C2214yes—
71#2714C2214yes—
72#2708C2214yes—
73#2706C2214yes—
74#2705C2214yes—
75#2705C2214yes—
76#2701C2214yes—
77#2701C2214yes—
78#2695C2214yes—
79#2691C2214yes—
80#2688C2214yes—
81#2688C2214yes—
82#2682C2214yes—
83#2682C2214yes—
84#2673C2214yes—
85#2673C2214yes—
86#2673C2214yes—
87#2673C2214yes—
88#2673C2214yes—
89#2673C2214yes—
90#2671C2214yes—
91#2661C2214yes—
92#2661C2214yes—
93#2661C2214yes—
94#2661C2214yes—
95#2661C2214yes—
96#2657C2212yes—
97#2649C2214yes—
98#2649C2214yes—
99#2648C2214yes—
100#2648C2214yes—
101#2648C2214yes—
102#2648C2214yes—
103#2647C2212yes—
104#2641C2212yes—
105#2635C2214yes—
106#2630C2214yes—
107#2625C2212yes—
108#2624C2212yes—
109#2620C2212yes—
110#2620C2212yes—
111#2619C2212yes—
112#2619C2212yes—
113#2619C2212yes—
114#2602C2214yes—
115#2597C2212yes—
116#2596C2212yes—
117#2595C2212yes—
118#2594C2212yes—
119#2591C2214yes—
120#2578C2214yes—
121#2578C2214yes—
122#2570C2212yes—
123#2566C2212yes—
124#2565C2212yes—
125#2559C2214yes—
126#2559C2214yes—
127#2554C2214yes—
128#2552C2212yes—
129#2552C2211yescharacteristic
130#2552C2212yes—
131#2552C2211yescharacteristic
132#2548C2211yescharacteristic
133#2548C2212yes—
134#2544C2212yes—
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2541C2212yes—
138#2541C2212yes—
139#2541C2212yes—
140#2541C2211yescharacteristic
141#2541C2211yescharacteristic
142#2541C2212yes—
143#2540C2212yes—
144#2538C2211yescharacteristic
145#2537C2211yescharacteristic
146#2537C2212yes—
147#2537C2212yes—
148#2535C2212yes—
149#2513C2211yescharacteristic
150#2512C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2509C2212yes—
154#2509C2211yescharacteristic
155#2504C2212yes—
156#2501C2212yes—
157#2495C2212yes—
158#2495C2212yes—
159#2494C2211yescharacteristic
160#2490C2212yes—
161#2490C2212yes—
162#2490C2212yes—
163#2490C2212yes—
164#2490C2211yescharacteristic
165#2490C2212yes—
166#2476C2214yes—
167#2471C2214yes—
168#2471C2214yes—
169#2471C2214yes—
170#2470C2214yes—
171#2470C2214yes—
172#2464C2214yes—
173#2464C2214yes—
174#2464C2214yes—
175#2464C2214yes—
176#2464C2214yes—
177#2464C2214yes—
178#2457C2214yes—
179#2456C2214yes—
180#2456C2214yes—
181#2454C2212yes—
182#2454C2212yes—
183#2453C2212yes—
184#2453C2211yescharacteristic
185#2448C2211yescharacteristic
186#2447C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2443C2214yes—
196#2443C2214yes—
197#2442C2212yes—
198#2431C2212yes—
199#2431C2212yes—
200#2431C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2212yes—
207#2428C2214yes—
208#2428C2214yes—
209#2428C2212yes—
210#2428C2212yes—
211#2428C2212yes—
212#2428C2212yes—
213#2428C2212yes—
214#2427C2212yes—
215#2426C2212yes—
216#2426C2211yescharacteristic
217#2426C2212yes—
218#2422C2214yes—
219#2422C2212yes—
220#2422C2214yes—
221#2422C2212yes—
222#2421C2211yescharacteristic
223#2420C2212yes—
224#2416C2212yes—
225#2414C2214yes—
226#2413C2214yes—
227#2407C2212yes—
228#2401C2212yes—
229#2395C2212yes—
230#2392C2214yes—
231#2374C2214yes—
232#2367C2212yes—
233#2367C2212yes—
234#2366C2211yescharacteristic
235#2366C2212yes—
236#2366C2211yescharacteristic
237#2361C2212yes—
238#2361C2214yes—
239#2357C2212yes—
240#2357C2212yes—
241#2355C2211yescharacteristic
242#2355C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246#2341C2212yes—
247#2335C2212yes—
248#2335C2212yes—
249#2334C2212yes—
250#2334C2212yes—
251#2330C2212yes—
252#2330C2211yescharacteristic
253#2330C2211yescharacteristic
254#2328C2212yes—
255#2328C2212yes—
256#2326C2211yescharacteristic
257#2326C2211yescharacteristic
258#2324C2214yes—
259#2324C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2324C2211yescharacteristic
263#2324C2211yescharacteristic
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2211yescharacteristic
268#2323C2211yescharacteristic
269C4×#127C2212yes—
270C4×#127C2211yescharacteristic
271C4×#127C2212yes—
272C4×#127C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2214yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2298C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#559—28no—
301#550—28no—
302#540—48no—
303#540—48no—
304#540—48no—
305#540—48no—
306C2×#127C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2314yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319#529—28no—
320#529—48no—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381#520—48no—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2314yes—
421C2×#117C2314yes—
422C22×C4⋊C4C2314yes—
423C22×C4⋊C4C2312yes—
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2314yes—
427#401C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2312yes—
435#400C2312yes—
436#400C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#384C2312yes—
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2311yescharacteristic
737#384C2314yes—
738#383C2314yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2312yes—
745#381C2314yes—
746#381C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812#376C2311yescharacteristic
813#376C2311yescharacteristic
814#376C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863#127—24no—
864#127—28no—
865#127—24no—
866#127—44no—
867#127—44no—
868#127—44no—
869#127—44no—
870#127—44no—
871#127—44no—
872#127—44no—
873#127—84no—
874#127—82no—
875#127—82no—
876#126—28no—
877#126—48no—
878#126—84no—
879#125—24no—
880#125—28no—
881#125—24no—
882#125—44no—
883#125—44no—
884#124—24no—
885#124—28no—
886#124—28no—
887#124—42no—
888#124—44no—
889#123—28no—
890#123—216no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—84no—
901C22⋊Q8—24no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904#121—24no—
905#121—28no—
906#121—216no—
907#121—28no—
908#121—24no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—48no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—84no—
929#121—84no—
930#121—84no—
931#121—84no—
932#121—84no—
933#121—84no—
934#121—82no—
935#121—82no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—42no—
940C4×Q8—42no—
941C4×Q8—44no—
942C4×Q8#4118yes—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—28no—
953C4×D4—48no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—82no—
965C4×D4—84no—
966C4×D4—82no—
967C4×D4—84no—
968#117—28no—
969#117—28no—
970#117—24no—
971#117—42no—
972#117—44no—
973#117—44no—
974#117—48no—
975#117—48no—
976C2×C4⋊C4—48no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C42—24no—
1108C2×C42—44no—
1109C2×C42—84no—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2414yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24C2512yes—
1204C24C2514yes—
1205C24C2511yescharacteristic
1206C24C2512yes—
1207C24C2514yes—
1208#41—432no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8C2×#4114yes—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
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—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—28no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4C2×#4114yes—
1420C4⋊C4C2×#4118yes—
1421C4⋊C4H(5,𝔽2)14yes—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—24no—
1507C42—22no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—44no—
1513C42—44no—
1514C42—44no—
1515C42—41no—
1516C42—41no—
1517C42—42no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42—41no—
1522C42—41no—
1523C42C2×#4114yes—
1524C42C2×#4118yes—
1525C42H(5,𝔽2)14yes—
1526C23—22no—
1527C23—24no—
1528C23—21no—
1529C23—24no—
1530C23—22no—
1531C23—22no—
1532C23—21no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—21no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—24no—
1545C23—24no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—24no—
1555C23—21no—
1556C23—24no—
1557C23—22no—
1558C23—24no—
1559C23—22no—
1560C23—21no—
1561C23C2611yescharacteristic
1562Q8—28no—
1563Q8—44no—
1564D4—416no—
1565D4—44no—
1566D4—48no—
1567D4—48no—
1568D4—48no—
1569D4—48no—
1570D4—44no—
1571D4—84no—
1572D4—88no—
1573D4—84no—
1574D4—84no—
1575D4—88no—
1576D4—84no—
1577D4—88no—
1578D4—164no—
1579D4—164no—
1580D4—164no—
1581D4—164no—
1582D4—164no—
1583D4—164no—
1584D4—164no—
1585D4—164no—
1586D4—164no—
1587D4—164no—
1588D4—164no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—416no—
1668C2×C4—44no—
1669C2×C4—48no—
1670C2×C4—44no—
1671C2×C4—48no—
1672C2×C4—88no—
1673C2×C4—82no—
1674C2×C4—88no—
1675C2×C4—84no—
1676C2×C4—88no—
1677C2×C4—88no—
1678C2×C4—84no—
1679C2×C4—164no—
1680C2×C4—164no—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4114yes—
1683C2×C4C22×#4114yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)14yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4#58512yes—
1692C2×C4#58512yes—
1693C22—42no—
1694C22—41no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—41no—
1699C22—44no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—41no—
1707C22—44no—
1708C22—42no—
1709C22—44no—
1710C22—41no—
1711C22—42no—
1712C22—44no—
1713C22—44no—
1714C22—42no—
1715C22—41no—
1716C22—42no—
1717C22—44no—
1718C22—44no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—44no—
1725C22—44no—
1726C22—41no—
1727C22—42no—
1728C22C23×#4111yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C22×H(5,𝔽2)11yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22C2×#58511yescharacteristic
1733C22H(7,𝔽2)11yescharacteristic
1734C22H(7,𝔽2)11yescharacteristic
1735C4—24no—
1736C4—22no—
1737C4—22no—
1738C4—24no—
1739C4—24no—
1740C4—22no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—41no—
1745C4—42no—
1746C4—44no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—41no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—41no—
1756C4—42no—
1757C4—44no—
1758C4—42no—
1759C4—41no—
1760C4—41no—
1761C4—42no—
1762C4—41no—
1763C4#346014yes—
1764C4#351714yes—
1765C2—81no—
1766C2—82no—
1767C2—84no—
1768C2—84no—
1769C2—82no—
1770C2C2×#346011yescharacteristic
1771C2C2×#351711yescharacteristic
1772C2#6285811yescharacteristic
1773C2#6291611yescharacteristic
1774C2#6292011yescharacteristic
1775C2#6296111yescharacteristic
1776C2#6296911yescharacteristic
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. #42895C2semidirect
2. #42892C2semidirect
3. #42617C2semidirect
4. #42545C2semidirect
5. #41310C2semidirect
6. #41158C2semidirect
7. #39818C2semidirect
8. #39745C2semidirect
9. #39736C2semidirect
10. #39386C2semidirect
11. #39352C2semidirect
12. #39256C2semidirect
13. #39193C2semidirect
14. #39183C2semidirect
15. #39138C2semidirect
16. #39137C2semidirect
17. #37798C2semidirect
18. #37775C2semidirect
19. #37587C2semidirect
20. #37570C2semidirect
21. #36923C2semidirect
22. #36853C2semidirect
23. #35601C2semidirect
24. #35534C2semidirect
25. #35278C2semidirect
26. #35215C2semidirect
27. #35215C2semidirect
28. #35171C2semidirect
29. #35171C2semidirect
30. #35171C2semidirect
31. #34934C2semidirect
32. #34915C2semidirect
33. #34313C2semidirect
34. C4×#559C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#428952
#428922
#426172
#425452
#413102
#411582
#398182
#397452
#397362
#393862
#393522
#392562
#391932
#391832
#391382
#391372
#377982
#377752
#375872
#375702
#369232
#368532
#356012
#355342
#352782
#352152
#351712
#349342
#349152
#343132
C4×#5592
#340842