Finite Group Databasebeta

← #7759731

Subgroups — #7759731

Order 512.

5198 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59815C211yesmaximal, characteristic, complemented
3#59679C211yesmaximal, characteristic, complemented
4#59646C211yesmaximal, characteristic, complemented
5#59642C211yesmaximal, characteristic, complemented
6#59641C211yesmaximal, characteristic, complemented
7#59450C211yesmaximal, characteristic, complemented
8#59444C211yesmaximal, characteristic, complemented
9#52027C214yesmaximal, complemented
10#52019C214yesmaximal, complemented
11#45354C212yesmaximal, complemented
12#44969C212yesmaximal, complemented
13#44968C212yesmaximal, complemented
14#44966C212yesmaximal, complemented
15#42517C212yesmaximal, complemented
16#42516C212yesmaximal, complemented
17#42504C212yesmaximal, complemented
18#42503C212yesmaximal, complemented
19#41103C214yesmaximal, complemented
20#41088C214yesmaximal, complemented
21#37952C212yesmaximal, complemented
22#37944C212yesmaximal, complemented
23#37892C212yesmaximal, complemented
24#37863C212yesmaximal, complemented
25#37616C211yesmaximal, characteristic, complemented
26#35778C212yesmaximal, complemented
27#35772C212yesmaximal, complemented
28#35704C212yesmaximal, complemented
29#35693C212yesmaximal, complemented
30#35190C211yesmaximal, characteristic, complemented
31#34910C211yesmaximal, characteristic, complemented
32#34625C211yesmaximal, characteristic, complemented
33#34384C211yesmaximal, characteristic, complemented
34#34207C211yesmaximal, characteristic, complemented
35#34183C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#552C2212yes—
38C2×#550C2212yes—
39C2×#547C2212yes—
40C2×#532C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#520C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2850C2212yes—
46#2850C2212yes—
47#2827C2214yes—
48#2824C2214yes—
49#2813C2214yes—
50#2807C2214yes—
51#2805C2214yes—
52#2803C2214yes—
53#2800C2214yes—
54#2795C2214yes—
55#2793C2214yes—
56#2790C2214yes—
57#2788C2214yes—
58#2785C2214yes—
59#2783C2214yes—
60#2782C2214yes—
61#2781C2214yes—
62#2780C2214yes—
63#2779C2214yes—
64#2779C2214yes—
65#2771C2214yes—
66#2768C2214yes—
67#2750C2214yes—
68#2744C2214yes—
69#2720C2214yes—
70#2720C2214yes—
71#2718C2214yes—
72#2718C2214yes—
73#2718C2214yes—
74#2710C2214yes—
75#2708C2214yes—
76#2708C2214yes—
77#2695C2214yes—
78#2694C2214yes—
79#2686C2214yes—
80#2686C2214yes—
81#2682C2214yes—
82#2667C2212yes—
83#2666C2212yes—
84#2666C2212yes—
85#2665C2212yes—
86#2660C2211yescharacteristic
87#2660C2211yescharacteristic
88#2649C2214yes—
89#2647C2211yescharacteristic
90#2647C2211yescharacteristic
91#2638C2214yes—
92#2636C2214yes—
93#2636C2214yes—
94#2636C2214yes—
95#2635C2214yes—
96#2635C2214yes—
97#2630C2214yes—
98#2629C2211yescharacteristic
99#2629C2211yescharacteristic
100#2628C2211yescharacteristic
101#2628C2211yescharacteristic
102#2620C2212yes—
103#2620C2212yes—
104#2620C2212yes—
105#2619C2212yes—
106#2609C2214yes—
107#2602C2214yes—
108#2602C2212yes—
109#2602C2212yes—
110#2601C2212yes—
111#2601C2212yes—
112#2601C2214yes—
113#2598C2214yes—
114#2595C2214yes—
115#2593C2214yes—
116#2591C2214yes—
117#2589C2214yes—
118#2587C2214yes—
119#2583C2214yes—
120#2582C2212yes—
121#2581C2212yes—
122#2581C2212yes—
123#2580C2212yes—
124#2580C2212yes—
125#2579C2214yes—
126#2575C2214yes—
127#2574C2214yes—
128#2571C2212yes—
129#2571C2212yes—
130#2570C2212yes—
131#2568C2211yescharacteristic
132#2568C2211yescharacteristic
133#2567C2212yes—
134#2566C2212yes—
135#2566C2211yescharacteristic
136#2566C2212yes—
137#2565C2211yescharacteristic
138#2552C2212yes—
139#2548C2211yescharacteristic
140#2548C2211yescharacteristic
141#2548C2212yes—
142#2545C2212yes—
143#2545C2211yescharacteristic
144#2544C2211yescharacteristic
145#2544C2212yes—
146#2542C2211yescharacteristic
147#2542C2211yescharacteristic
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic
150#2538C2212yes—
151#2537C2212yes—
152#2536C2212yes—
153#2513C2212yes—
154#2513C2212yes—
155#2512C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2511C2212yes—
161#2509C2214yes—
162#2503C2212yes—
163#2502C2212yes—
164#2501C2212yes—
165#2500C2212yes—
166#2500C2212yes—
167#2500C2211yescharacteristic
168#2499C2211yescharacteristic
169#2492C2212yes—
170#2491C2212yes—
171#2490C2212yes—
172#2489C2212yes—
173#2481C2214yes—
174#2479C2214yes—
175#2476C2214yes—
176#2476C2214yes—
177#2474C2214yes—
178#2473C2214yes—
179#2470C2214yes—
180#2470C2214yes—
181#2470C2214yes—
182#2466C2214yes—
183#2460C2214yes—
184#2459C2214yes—
185#2456C2214yes—
186#2456C2214yes—
187#2455C2214yes—
188#2455C2214yes—
189#2455C2214yes—
190#2448C2212yes—
191#2447C2212yes—
192#2447C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2445C2212yes—
198#2443C2214yes—
199#2443C2214yes—
200#2432C2211yescharacteristic
201#2431C2211yescharacteristic
202#2431C2212yes—
203#2423C2212yes—
204#2422C2212yes—
205#2422C2212yes—
206#2421C2212yes—
207#2417C2212yes—
208#2416C2212yes—
209#2416C2212yes—
210#2415C2212yes—
211#2413C2214yes—
212#2413C2214yes—
213#2407C2212yes—
214#2407C2212yes—
215#2407C2212yes—
216#2407C2212yes—
217#2407C2214yes—
218#2406C2214yes—
219#2406C2214yes—
220#2406C2214yes—
221#2402C2212yes—
222#2399C2212yes—
223#2396C2212yes—
224#2396C2212yes—
225#2392C2212yes—
226#2392C2212yes—
227#2392C2214yes—
228#2388C2214yes—
229#2383C2214yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2365C2212yes—
234#2363C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2361C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2360C2212yes—
244#2357C2212yes—
245#2357C2212yes—
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2354C2211yescharacteristic
249#2354C2212yes—
250#2354C2212yes—
251#2354C2212yes—
252#2352C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2212yes—
262D4×C4⋊C4C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2214yes—
267#2330C2212yes—
268#2328C2212yes—
269#2326C2212yes—
270#2326C2212yes—
271#2326C2212yes—
272#2326C2212yes—
273#2322C2214yes—
274#2317C2212yes—
275#2317C2214yes—
276#2317C2212yes—
277#2314C2212yes—
278#2311C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×#127C2211yescharacteristic
285C4×#127C2211yescharacteristic
286C4×#127C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#125C2211yescharacteristic
289C4×#124C2211yescharacteristic
290C4×#124C2211yescharacteristic
291#2290C2212yes—
292#2290C2212yes—
293#2285C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2212yes—
296C2×#384C2211yescharacteristic
297#2283C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2314yes—
302#559—48no—
303#552—48no—
304#550—48no—
305#547—48no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315#529—28no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354#520—48no—
355#520—48no—
356C4×#41—28no—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2314yes—
400C2×#117C2314yes—
401C2×#117C2314yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2314yes—
411C22×C42C2312yes—
412C22×C42C2311yescharacteristic
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2312yes—
489#395C2312yes—
490#395C2312yes—
491#395C2312yes—
492#395C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#393C2312yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
528#392C2314yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2314yes—
735#384C2312yes—
736#384C2314yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#383C2312yes—
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2312yes—
747#382C2311yescharacteristic
748#382C2314yes—
749#382C2314yes—
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2314yes—
753#381C2314yes—
754#381C2312yes—
755#381C2314yes—
756#381C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2311yescharacteristic
816#376C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—48no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—48no—
827C2×#41—84no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—42no—
865#127—24no—
866#127—28no—
867#127—24no—
868#127—44no—
869#126—28no—
870#126—48no—
871#126—84no—
872#125—24no—
873#125—24no—
874#125—42no—
875#125—48no—
876#124—28no—
877#124—24no—
878#124—24no—
879#124—24no—
880#124—28no—
881#124—44no—
882#124—48no—
883#123—28no—
884#123—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—84no—
890#123—84no—
891C22⋊Q8—24no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897#121—24no—
898#121—28no—
899#121—28no—
900#121—48no—
901#121—48no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—48no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—48no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—82no—
940C4×D4—82no—
941C4×D4—84no—
942#117—24no—
943#117—28no—
944#117—28no—
945#117—24no—
946#117—42no—
947#117—44no—
948#117—48no—
949#117—48no—
950#117—48no—
951#117—44no—
952C2×C4⋊C4—48no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—48no—
959C2×C4⋊C4—82no—
960C2×C4⋊C4—84no—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C42—28no—
1095C2×C42#4118yescomplemented
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2514yes—
1195C24C2511yescharacteristic
1196C24C2512yes—
1197#41—232no—
1198#41—432no—
1199#41—832no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q82−1+414yes—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4H(5,𝔽2)14yes—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—28no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—28no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4C2×#4114yes—
1297C22×C4C2×#4114yes—
1298C22×C4C2×#4114yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
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—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—28no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—41no—
1480C42—41no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—41no—
1487C42—41no—
1488C42—44no—
1489C42C2×#4114yes—
1490C42C2×#4114yes—
1491C42C2×#4114yes—
1492C42C2×#4114yes—
1493C42H(5,𝔽2)14yes—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—22no—
1507C23—24no—
1508C23—22no—
1509C23—24no—
1510C23—24no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—24no—
1519C23—22no—
1520C23C22×#4112yes—
1521C23C2×H(5,𝔽2)14yes—
1522C23C2611yescharacteristic
1523Q8—28no—
1524Q8—48no—
1525Q8—44no—
1526Q8—48no—
1527Q8—84no—
1528D4—216no—
1529D4—28no—
1530D4—48no—
1531D4—48no—
1532D4—48no—
1533D4—416no—
1534D4—44no—
1535D4—48no—
1536D4—48no—
1537D4—84no—
1538D4—88no—
1539D4—88no—
1540D4—88no—
1541D4—164no—
1542C2×C4—216no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—28no—
1558C2×C4—28no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—416no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—164no—
1635C2×C4—164no—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×2−1+414yes—
1647C2×C4C2×2−1+412yes—
1648C2×C4#58512yes—
1649C22—22no—
1650C22—24no—
1651C22—22no—
1652C22—22no—
1653C22—24no—
1654C22—24no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—44no—
1665C22—44no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—42no—
1670C22—44no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22C23×#4111yescharacteristic
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C22×2−1+411yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22H(7,𝔽2)11yescharacteristic
1683C222−1+611yescharacteristic
1684C4—22no—
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—44no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—42no—
1701C4—44no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—41no—
1711C4—42no—
1712C4—41no—
1713C4#349214yes—
1714C4#350614yes—
1715C2—42no—
1716C2—44no—
1717C2—84no—
1718C2—82no—
1719C2C2×#349211yescharacteristic
1720C2C2×#350611yescharacteristic
1721C2#6284511yescharacteristic
1722C2#6291211yescharacteristic
1723C2#6292111yescharacteristic
1724C2#6294611yescharacteristic
1725C2#6295211yescharacteristic
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. #59870C2semidirect
2. #59815C2semidirect
3. #59679C2semidirect
4. #59646C2semidirect
5. #59642C2semidirect
6. #59641C2semidirect
7. #59450C2semidirect
8. #59444C2semidirect
9. #52027C2semidirect
10. #52019C2semidirect
11. #45354C2semidirect
12. #44969C2semidirect
13. #44968C2semidirect
14. #44966C2semidirect
15. #42517C2semidirect
16. #42516C2semidirect
17. #42504C2semidirect
18. #42503C2semidirect
19. #41103C2semidirect
20. #41088C2semidirect
21. #37952C2semidirect
22. #37944C2semidirect
23. #37892C2semidirect
24. #37863C2semidirect
25. #37616C2semidirect
26. #35778C2semidirect
27. #35772C2semidirect
28. #35704C2semidirect
29. #35693C2semidirect
30. #35190C2semidirect
31. #34910C2semidirect
32. #34625C2semidirect
33. #34384C2semidirect
34. #34207C2semidirect
35. #34183C2semidirect
1095. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#598702
#598152
#596792
#596462
#596422
#596412
#594502
#594442
#520272
#520192
#453542
#449692
#449682
#449662
#425172
#425162
#425042
#425032
#411032
#410882
#379522
#379442
#378922
#378632
#376162
#357782
#357722
#357042
#356932
#351902
#349102
#346252
#343842
#342072
#341832