Finite Group Databasebeta

← #7693290

Subgroups — #7693290

Order 512.

5133 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59976C214yesmaximal, complemented
2#59767C212yesmaximal, complemented
3#59641C211yesmaximal, characteristic, complemented
4#59641C212yesmaximal, complemented
5#59444C211yesmaximal, characteristic, complemented
6#59435C211yesmaximal, characteristic, complemented
7#59405C212yesmaximal, complemented
8#59047C212yesmaximal, complemented
9#44968C212yesmaximal, complemented
10#44967C212yesmaximal, complemented
11#44286C214yesmaximal, complemented
12#43393C214yesmaximal, complemented
13#40218C212yesmaximal, complemented
14#40214C212yesmaximal, complemented
15#40064C214yesmaximal, complemented
16#39756C212yesmaximal, complemented
17#39174C211yesmaximal, characteristic, complemented
18#39169C211yesmaximal, characteristic
19#36609C211yesmaximal, characteristic, complemented
20#36562C211yesmaximal, characteristic, complemented
21#36476C211yesmaximal, characteristic, complemented
22#36416C212yesmaximal, complemented
23#36305C212yesmaximal, complemented
24#36300C211yesmaximal, characteristic, complemented
25#36230C212yesmaximal, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35968C212yesmaximal, complemented
28#35865C212yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34724C212yesmaximal, complemented
31#34337C211yesmaximal, characteristic, complemented
32#34332C211yesmaximal, characteristic, complemented
33#34329C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#552C2212yes—
41C2×#550C2211yescharacteristic
42C2×#529C2212yes—
43C2×C4×#41C2212yes—
44#2862C2211yescharacteristic
45#2860C2212yes—
46#2859C2212yes—
47#2858C2211yescharacteristic
48#2858C2211yescharacteristic
49#2855C2212yes—
50#2851C2214yes—
51#2850C2212yes—
52#2808C2214yes—
53#2808C2214yes—
54#2793C2214yes—
55#2781C2214yes—
56#2779C2214yes—
57#2775C2214yes—
58#2770C2214yes—
59#2768C2214yes—
60#2750C2214yes—
61#2727C2214yes—
62#2727C2214yes—
63#2721C2214yes—
64#2711C2214yes—
65#2711C2214yes—
66#2710C2214yes—
67#2710C2214yes—
68#2710C2214yes—
69#2695C2214yes—
70#2694C2214yes—
71#2676C2214yes—
72#2676C2214yes—
73#2651C2214yes—
74#2648C2214yes—
75#2641C2212yes—
76#2641C2212yes—
77#2611C2214yes—
78#2609C2214yes—
79#2607C2214yes—
80#2604C2214yes—
81#2597C2214yes—
82#2593C2214yes—
83#2592C2212yes—
84#2592C2212yes—
85#2589C2214yes—
86#2589C2214yes—
87#2589C2214yes—
88#2587C2214yes—
89#2587C2214yes—
90#2585C2212yes—
91#2585C2212yes—
92#2582C2211yescharacteristic
93#2580C2212yes—
94#2580C2212yes—
95#2580C2212yes—
96#2571C2212yes—
97#2570C2212yes—
98#2568C2211yescharacteristic
99#2567C2211yescharacteristic
100#2566C2212yes—
101#2566C2212yes—
102#2566C2212yes—
103#2565C2212yes—
104#2563C2211yescharacteristic
105#2559C2214yes—
106#2556C2214yes—
107#2556C2214yes—
108#2554C2214yes—
109#2552C2212yes—
110#2552C2211yescharacteristic
111#2548C2212yes—
112#2548C2211yescharacteristic
113#2546C2211yescharacteristic
114#2542C2211yescharacteristic
115#2542C2211yescharacteristic
116#2541C2211yescharacteristic
117#2541C2212yes—
118#2536C2212yes—
119#2531C2214yes—
120#2529C2214yes—
121#2526C2214yes—
122#2525C2214yes—
123#2521C2214yes—
124#2513C2212yes—
125#2513C2212yes—
126#2513C2212yes—
127#2512C2212yes—
128#2512C2212yes—
129#2512C2212yes—
130#2512C2212yes—
131#2511C2212yes—
132#2509C2211yescharacteristic
133#2509C2211yescharacteristic
134#2501C2212yes—
135#2501C2214yes—
136#2496C2212yes—
137#2495C2212yes—
138#2492C2212yes—
139#2491C2212yes—
140#2491C2214yes—
141#2481C2214yes—
142#2479C2214yes—
143#2479C2214yes—
144#2478C2214yes—
145#2476C2214yes—
146#2474C2214yes—
147#2471C2214yes—
148#2470C2214yes—
149#2468C2214yes—
150#2467C2214yes—
151#2466C2214yes—
152#2466C2214yes—
153#2466C2214yes—
154#2466C2214yes—
155#2457C2214yes—
156#2455C2214yes—
157#2455C2214yes—
158#2455C2214yes—
159#2454C2212yes—
160#2453C2211yescharacteristic
161#2453C2211yescharacteristic
162#2448C2212yes—
163#2448C2212yes—
164#2448C2212yes—
165#2448C2212yes—
166#2448C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2445C2212yes—
171#2445C2212yes—
172#2445C2212yes—
173#2444C2214yes—
174#2441C2212yes—
175#2441C2214yes—
176#2439C2214yes—
177#2432C2212yes—
178#2432C2212yes—
179#2429C2212yes—
180#2429C2212yes—
181#2427C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2425C2214yes—
186#2423C2212yes—
187#2422C2214yes—
188#2422C2212yes—
189#2417C2212yes—
190#2416C2212yes—
191#2416C2212yes—
192#2415C2212yes—
193#2413C2214yes—
194#2407C2212yes—
195#2407C2212yes—
196#2402C2212yes—
197#2402C2212yes—
198#2395C2214yes—
199#2392C2214yes—
200#2374C2214yes—
201#2374C2212yes—
202#2374C2212yes—
203#2372C2214yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2214yes—
207#2369C2211yescharacteristic
208#2367C2212yes—
209#2367C2212yes—
210#2367C2211yescharacteristic
211#2367C2212yes—
212#2367C2211yescharacteristic
213#2367C2212yes—
214#2366C2212yes—
215#2366C2211yescharacteristic
216#2366C2211yescharacteristic
217#2366C2212yes—
218#2365C2211yescharacteristic
219#2365C2212yes—
220#2363C2212yes—
221#2363C2214yes—
222#2361C2214yes—
223#2361C2212yes—
224#2360C2212yes—
225#2360C2212yes—
226#2360C2214yes—
227#2360C2212yes—
228#2359C2214yes—
229#2357C2212yes—
230#2357C2212yes—
231#2357C2212yes—
232#2357C2211yescharacteristic
233#2357C2211yescharacteristic
234#2356C2212yes—
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2354C2212yes—
239#2354C2212yes—
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2353C2214yes—
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yes—
250#2346C2212yes—
251#2345C2212yes—
252#2341C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2330C2212yes—
256#2330C2212yes—
257#2330C2214yes—
258#2329C2214yes—
259#2328C2212yes—
260#2326C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2214yes—
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2214yes—
282#2296C2214yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2212yes—
288C2×#389C2212yes—
289#2290C2214yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300#559—216no—
301#559—28no—
302#557—28no—
303#554—28no—
304#552—48no—
305#550—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315#529—48no—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C4×#41—48no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2314yes—
398C2×#117C2314yes—
399C2×#117C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C42C2312yes—
404C22×C42C2314yes—
405C22×C42C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#383C2314yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C4⋊Q8—28no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854#127—24no—
855#127—28no—
856#127—28no—
857#127—24no—
858#126—48no—
859#126—48no—
860#126—84no—
861#126—84no—
862#125—216no—
863#125—24no—
864#125—24no—
865#125—28no—
866#125—28no—
867#125—48no—
868#124—28no—
869#124—24no—
870#124—28no—
871#124—216no—
872#124—44no—
873#124—44no—
874#124—44no—
875#124—82no—
876#124#4118yescomplemented
877#123—216no—
878#123—28no—
879#123—216no—
880#123—28no—
881#123—48no—
882#123—48no—
883#123—84no—
884C22⋊Q8—28no—
885C22⋊Q8—216no—
886C22⋊Q8—28no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890#121—28no—
891#121—216no—
892#121—48no—
893#121—44no—
894#121—44no—
895#121—84no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—28no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—28no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—82no—
912C4×Q8#4118yes—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—216no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—48no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—48no—
934C4×D4—82no—
935C4×D4—84no—
936#117—28no—
937#117—48no—
938#117—48no—
939#117—48no—
940#117—48no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—84no—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—44no—
1067C2×C42—48no—
1068C2×C42—44no—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182C24C2512yes—
1183C24C2514yes—
1184C24C2512yes—
1185#41—432no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—41no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8C2×#4114yes—
1203C2×Q8C2×#4114yes—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4C2×#4114yes—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—28no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4C2×#4114yes—
1372C4⋊C4C2×#4118yes—
1373C4⋊C4H(5,𝔽2)14yes—
1374C4⋊C42−1+414yes—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4C2×#4118yes—
1423C22⋊C4C2×#4118yes—
1424C42—24no—
1425C42—28no—
1426C42—22no—
1427C42—24no—
1428C42—28no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—28no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—42no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—41no—
1457C42—42no—
1458C42—42no—
1459C42—41no—
1460C42—41no—
1461C42—41no—
1462C42—44no—
1463C42—41no—
1464C42—42no—
1465C42—42no—
1466C42C2×#4114yes—
1467C42C2×#4118yes—
1468C42C2×#4114yes—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—24no—
1482C23—22no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—24no—
1488C23—22no—
1489C23C22×#4114yes—
1490C23C2611yescharacteristic
1491Q8—28no—
1492Q8—28no—
1493Q8—44no—
1494Q8—48no—
1495Q8—84no—
1496Q8—84no—
1497D4—28no—
1498D4—48no—
1499D4—416no—
1500D4—48no—
1501D4—44no—
1502D4—48no—
1503D4—88no—
1504D4—84no—
1505D4—88no—
1506D4—84no—
1507D4—88no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—416no—
1590C2×C4—416no—
1591C2×C4—48no—
1592C2×C4—48no—
1593C2×C4—84no—
1594C2×C4—88no—
1595C2×C4—88no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C2×H(5,𝔽2)14yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×2−1+414yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4#58512yes—
1614C2×C4#58512yes—
1615C22—24no—
1616C22—24no—
1617C22—24no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—44no—
1624C22—44no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—44no—
1634C22—44no—
1635C22—42no—
1636C22C23×#4111yescharacteristic
1637C22C23×#4111yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C4—22no—
1644C4—24no—
1645C4—22no—
1646C4—24no—
1647C4—24no—
1648C4—24no—
1649C4—22no—
1650C4—22no—
1651C4—24no—
1652C4—42no—
1653C4—44no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—44no—
1666C4—42no—
1667C4—41no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4#348214yes—
1674C4#350614yes—
1675C2—44no—
1676C2—84no—
1677C2—82no—
1678C2C2×#348211yescharacteristic
1679C2C2×#350611yescharacteristic
1680C2#6281611yescharacteristic
1681C2#6295211yescharacteristic
1682C2#6298611yescharacteristic
1683C2#6301011yescharacteristic
1684C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39169C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59976C2semidirect
2. #59767C2semidirect
3. #59641C2semidirect
4. #59641C2semidirect
5. #59444C2semidirect
6. #59435C2semidirect
7. #59405C2semidirect
8. #59047C2semidirect
9. #44968C2semidirect
10. #44967C2semidirect
11. #44286C2semidirect
12. #43393C2semidirect
13. #40218C2semidirect
14. #40214C2semidirect
15. #40064C2semidirect
16. #39756C2semidirect
17. #39174C2semidirect
19. #36609C2semidirect
20. #36562C2semidirect
21. #36476C2semidirect
22. #36416C2semidirect
23. #36305C2semidirect
24. #36300C2semidirect
25. #36230C2semidirect
26. #36115C2semidirect
27. #35968C2semidirect
28. #35865C2semidirect
29. #34951C2semidirect
30. #34724C2semidirect
31. #34337C2semidirect
32. #34332C2semidirect
33. #34329C2semidirect
34. C4×#559C2semidirect
35. C4×#550C2semidirect
876. #124#41semidirect

Maximal subgroups

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

subgroupindex
#599762
#597672
#596412
#594442
#594352
#594052
#590472
#449682
#449672
#442862
#433932
#402182
#402142
#400642
#397562
#391742
#391692
#366092
#365622
#364762
#364162
#363052
#363002
#362302
#361152
#359682
#358652
#349512
#347242
#343372
#343322
#343292
C4×#5592
C4×#5502