Finite Group Databasebeta

← #7647834

Subgroups — #7647834

Order 512.

5056 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41741C214yesmaximal, complemented
2#41638C214yesmaximal, complemented
3#41112C214yesmaximal, complemented
4#40969C214yesmaximal, complemented
5#39688C212yesmaximal, complemented
6#39426C212yesmaximal, complemented
7#39298C212yesmaximal, complemented
8#39052C212yesmaximal, complemented
9#38285C212yesmaximal, complemented
10#38213C212yesmaximal, complemented
11#37798C212yesmaximal, complemented
12#37759C212yesmaximal, complemented
13#37631C211yesmaximal, characteristic, complemented
14#37629C211yesmaximal, characteristic, complemented
15#37620C211yesmaximal, characteristic, complemented
16#37616C211yesmaximal, characteristic, complemented
17#37346C212yesmaximal, complemented
18#37338C212yesmaximal, complemented
19#37329C212yesmaximal, complemented
20#37327C212yesmaximal, complemented
21#35606C212yesmaximal, complemented
22#35539C212yesmaximal, complemented
23#35300C212yesmaximal, complemented
24#35277C212yesmaximal, complemented
25#35275C211yesmaximal, characteristic, complemented
26#35198C211yesmaximal, characteristic, complemented
27#35191C211yesmaximal, characteristic, complemented
28#35176C211yesmaximal, characteristic, complemented
29#35171C211yesmaximal, characteristic, complemented
30#35170C211yesmaximal, characteristic, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34934C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic, complemented
34#34151C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#544C2212yes—
37C2×#542C2212yes—
38C2×#542C2212yes—
39C2×#540C2212yes—
40C2×#532C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#529C2212yes—
44C2×#520C2212yes—
45#2868C2212yes—
46#2861C2212yes—
47#2860C2212yes—
48#2859C2212yes—
49#2858C2212yes—
50#2858C2212yes—
51#2857C2212yes—
52#2857C2212yes—
53#2856C2212yes—
54#2855C2212yes—
55#2854C2212yes—
56#2854C2212yes—
57#2838C2214yes—
58#2830C2214yes—
59#2823C2214yes—
60#2813C2214yes—
61#2803C2214yes—
62#2800C2214yes—
63#2797C2214yes—
64#2795C2214yes—
65#2793C2214yes—
66#2790C2214yes—
67#2788C2214yes—
68#2787C2214yes—
69#2786C2214yes—
70#2784C2214yes—
71#2784C2214yes—
72#2780C2214yes—
73#2779C2214yes—
74#2778C2214yes—
75#2761C2214yes—
76#2753C2214yes—
77#2731C2214yes—
78#2729C2214yes—
79#2718C2214yes—
80#2716C2214yes—
81#2711C2214yes—
82#2708C2214yes—
83#2707C2214yes—
84#2702C2214yes—
85#2701C2214yes—
86#2696C2214yes—
87#2696C2214yes—
88#2695C2214yes—
89#2688C2214yes—
90#2686C2214yes—
91#2676C2214yes—
92#2674C2214yes—
93#2667C2214yes—
94#2663C2214yes—
95#2662C2214yes—
96#2661C2214yes—
97#2661C2214yes—
98#2660C2214yes—
99#2650C2214yes—
100#2645C2212yes—
101#2644C2212yes—
102#2644C2212yes—
103#2640C2212yes—
104#2640C2212yes—
105#2640C2212yes—
106#2638C2214yes—
107#2636C2214yes—
108#2629C2212yes—
109#2629C2212yes—
110#2628C2212yes—
111#2625C2212yes—
112#2620C2212yes—
113#2620C2212yes—
114#2620C2212yes—
115#2620C2212yes—
116#2620C2212yes—
117#2619C2212yes—
118#2618C2214yes—
119#2610C2214yes—
120#2603C2214yes—
121#2603C2214yes—
122#2602C2214yes—
123#2601C2214yes—
124#2594C2214yes—
125#2587C2214yes—
126#2585C2214yes—
127#2583C2214yes—
128#2582C2211yescharacteristic
129#2576C2214yes—
130#2568C2211yescharacteristic
131#2566C2212yes—
132#2558C2214yes—
133#2554C2214yes—
134#2552C2211yescharacteristic
135#2552C2211yescharacteristic
136#2552C2212yes—
137#2551C2212yes—
138#2551C2211yescharacteristic
139#2551C2211yescharacteristic
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2547C2211yescharacteristic
143#2546C2211yescharacteristic
144#2544C2212yes—
145#2542C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2211yescharacteristic
148#2540C2214yes—
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2537C2211yescharacteristic
152#2529C2214yes—
153#2526C2214yes—
154#2522C2214yes—
155#2521C2214yes—
156#2512C2214yes—
157#2512C2212yes—
158#2512C2214yes—
159#2511C2212yes—
160#2509C2212yes—
161#2507C2212yes—
162#2496C2212yes—
163#2494C2212yes—
164#2492C2212yes—
165#2492C2212yes—
166#2491C2214yes—
167#2491C2212yes—
168#2491C2212yes—
169#2491C2214yes—
170#2490C2212yes—
171#2490C2212yes—
172#2478C2214yes—
173#2475C2214yes—
174#2474C2214yes—
175#2470C2214yes—
176#2468C2214yes—
177#2464C2214yes—
178#2463C2214yes—
179#2461C2214yes—
180#2461C2214yes—
181#2456C2214yes—
182#2454C2212yes—
183#2453C2212yes—
184#2452C2212yes—
185#2452C2214yes—
186#2452C2212yes—
187#2452C2214yes—
188#2452C2212yes—
189#2451C2212yes—
190#2449C2214yes—
191#2448C2212yes—
192#2447C2212yes—
193#2447C2212yes—
194#2446C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2443C2214yes—
198#2440C2214yes—
199#2440C2212yes—
200#2440C2212yes—
201#2432C2212yes—
202#2431C2212yes—
203#2429C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2423C2212yes—
210#2422C2214yes—
211#2422C2212yes—
212#2422C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2415C2214yes—
218#2414C2212yes—
219#2414C2212yes—
220#2413C2214yes—
221#2407C2212yes—
222#2407C2212yes—
223#2402C2214yes—
224#2392C2214yes—
225#2374C2212yes—
226#2374C2212yes—
227#2373C2212yes—
228#2373C2212yes—
229#2370C2211yescharacteristic
230#2370C2211yescharacteristic
231#2367C2211yescharacteristic
232#2367C2211yescharacteristic
233#2363C2211yescharacteristic
234#2363C2211yescharacteristic
235#2362C2211yescharacteristic
236#2362C2211yescharacteristic
237#2361C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2354C2212yes—
242#2354C2212yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2212yes—
245#2335C2212yes—
246#2335C2212yes—
247#2334C2212yes—
248#2334C2212yes—
249#2330C2211yescharacteristic
250#2330C2211yescharacteristic
251#2330C2212yes—
252#2326C2211yescharacteristic
253#2326C2211yescharacteristic
254#2326C2212yes—
255#2326C2212yes—
256#2324C2212yes—
257#2324C2212yes—
258#2324C2211yescharacteristic
259#2324C2211yescharacteristic
260#2324C2212yes—
261#2324C2212yes—
262#2323C2211yescharacteristic
263#2323C2212yes—
264#2323C2211yescharacteristic
265#2319C2212yes—
266#2317C2212yes—
267#2311C2212yes—
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#127C2211yescharacteristic
273C4×#127C2212yes—
274C4×#125C2212yes—
275C4×#121C2212yes—
276#2298C2212yes—
277#2298C2212yes—
278#2296C2212yes—
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2290C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300#544—48no—
301#542—48no—
302#542—48no—
303#540—48no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316#529—28no—
317#529—28no—
318#529—48no—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370#520—48no—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C42C2312yes—
415C22×C42C2312yes—
416C22×C42C2311yescharacteristic
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
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#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2314yes—
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2314yes—
731#382C2312yes—
732#382C2314yes—
733#382C2312yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C4⋊Q8—24no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—48no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—84no—
861#127—24no—
862#127—44no—
863#127—44no—
864#126—28no—
865#126—28no—
866#126—48no—
867#126—48no—
868#126—48no—
869#125—28no—
870#125—28no—
871#125—24no—
872#125—24no—
873#125—48no—
874#124—24no—
875#124—24no—
876#124—28no—
877#124—48no—
878#124—48no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—84no—
883#123—28no—
884#123—28no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—84no—
901#121—24no—
902#121—24no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—48no—
908#121—44no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—84no—
914#121—84no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—28no—
920C4×Q8—24no—
921C4×Q8—42no—
922C4×Q8—44no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—48no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—82no—
941C4×D4—84no—
942C4×D4—82no—
943#117—24no—
944#117—24no—
945#117—28no—
946#117—28no—
947#117—24no—
948#117—28no—
949#117—42no—
950#117—44no—
951#117—44no—
952#117—48no—
953#117—48no—
954C2×C4⋊C4—48no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—82no—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42#4118yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197#41—432no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—44no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4C2×#4114yes—
1289C22×C4C2×#4114yes—
1290C22×C4C2×#4114yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—28no—
1347C4⋊C4—22no—
1348C4⋊C4—28no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4H(5,𝔽2)14yes—
1391C4⋊C42−1+414yes—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
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—42no—
1452C42—24no—
1453C42—24no—
1454C42—22no—
1455C42—24no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—28no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—42no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—41no—
1477C42—42no—
1478C42—42no—
1479C42—41no—
1480C42—44no—
1481C42—41no—
1482C42—42no—
1483C42—41no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42C2×#4114yes—
1488C42C2×#4114yes—
1489C42C2×#4114yes—
1490C42C2×#4114yes—
1491C42H(5,𝔽2)14yes—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—24no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23C22×#4112yes—
1520C23C2611yescharacteristic
1521Q8—44no—
1522Q8—48no—
1523Q8—44no—
1524Q8—164no—
1525Q8—164no—
1526D4—48no—
1527D4—416no—
1528D4—44no—
1529D4—48no—
1530D4—44no—
1531D4—48no—
1532D4—88no—
1533D4—88no—
1534D4—84no—
1535D4—84no—
1536D4—164no—
1537D4—164no—
1538D4—164no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—28no—
1556C2×C4—28no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—44no—
1621C2×C4—416no—
1622C2×C4—48no—
1623C2×C4—48no—
1624C2×C4—88no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—164no—
1630C2×C4—164no—
1631C2×C4C22×#4112yes—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)14yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×2−1+414yes—
1643C2×C4C2×2−1+412yes—
1644C2×C4#58512yes—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—44no—
1655C22—44no—
1656C22—42no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—44no—
1664C22—44no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22C23×#4111yescharacteristic
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C22×2−1+411yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22H(7,𝔽2)11yescharacteristic
1679C222−1+611yescharacteristic
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—24no—
1685C4—22no—
1686C4—22no—
1687C4—24no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—44no—
1693C4—42no—
1694C4—41no—
1695C4—44no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—44no—
1704C4—42no—
1705C4—41no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4#346014yes—
1710C4#351114yes—
1711C2—42no—
1712C2—82no—
1713C2—84no—
1714C2—82no—
1715C2C2×#346011yescharacteristic
1716C2C2×#351111yescharacteristic
1717C2#6285611yescharacteristic
1718C2#6291611yescharacteristic
1719C2#6292111yescharacteristic
1720C2#6294611yescharacteristic
1721C2#6295111yescharacteristic
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. #41741C2semidirect
2. #41638C2semidirect
3. #41112C2semidirect
4. #40969C2semidirect
5. #39688C2semidirect
6. #39426C2semidirect
7. #39298C2semidirect
8. #39052C2semidirect
9. #38285C2semidirect
10. #38213C2semidirect
11. #37798C2semidirect
12. #37759C2semidirect
13. #37631C2semidirect
14. #37629C2semidirect
15. #37620C2semidirect
16. #37616C2semidirect
17. #37346C2semidirect
18. #37338C2semidirect
19. #37329C2semidirect
20. #37327C2semidirect
21. #35606C2semidirect
22. #35539C2semidirect
23. #35300C2semidirect
24. #35277C2semidirect
25. #35275C2semidirect
26. #35198C2semidirect
27. #35191C2semidirect
28. #35176C2semidirect
29. #35171C2semidirect
30. #35170C2semidirect
31. #34951C2semidirect
32. #34934C2semidirect
33. #34207C2semidirect
34. #34151C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#417412
#416382
#411122
#409692
#396882
#394262
#392982
#390522
#382852
#382132
#377982
#377592
#376312
#376292
#376202
#376162
#373462
#373382
#373292
#373272
#356062
#355392
#353002
#352772
#352752
#351982
#351912
#351762
#351712
#351702
#349512
#349342
#342072
#341512
#340842