Finite Group Databasebeta

← #7689675

Subgroups — #7689675

Order 512.

5098 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59964C214yesmaximal, complemented
2#59713C212yesmaximal, complemented
3#59444C211yesmaximal, characteristic, complemented
4#59292C212yesmaximal, complemented
5#59233C212yesmaximal, complemented
6#59233C211yesmaximal, characteristic, complemented
7#59230C212yesmaximal, complemented
8#59217C211yesmaximal, characteristic, complemented
9#45133C212yesmaximal, complemented
10#44980C212yesmaximal, complemented
11#43857C214yesmaximal, complemented
12#43823C214yesmaximal, complemented
13#40125C212yesmaximal, complemented
14#40118C212yesmaximal, complemented
15#39625C211yesmaximal, characteristic, complemented
16#39136C211yesmaximal, characteristic, complemented
17#38829C214yesmaximal, complemented
18#37952C212yesmaximal, complemented
19#36504C211yesmaximal, characteristic, complemented
20#36473C211yesmaximal, characteristic, complemented
21#36413C212yesmaximal, complemented
22#36369C212yesmaximal, complemented
23#36269C212yesmaximal, complemented
24#36194C211yesmaximal, characteristic, complemented
25#36187C211yesmaximal, characteristic, complemented
26#36186C211yesmaximal, characteristic, complemented
27#36065C212yesmaximal, complemented
28#36028C212yesmaximal, complemented
29#34941C212yesmaximal, complemented
30#34727C211yesmaximal, characteristic, complemented
31#34324C211yesmaximal, characteristic, complemented
32#34300C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#555C2212yes—
39C2×#553C2211yescharacteristic
40C2×#552C2212yes—
41C2×#552C2212yes—
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2868C2211yescharacteristic
45#2861C2214yes—
46#2860C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2212yes—
50#2854C2212yes—
51#2850C2212yes—
52#2808C2214yes—
53#2803C2214yes—
54#2792C2214yes—
55#2785C2214yes—
56#2785C2214yes—
57#2785C2214yes—
58#2784C2214yes—
59#2784C2214yes—
60#2781C2214yes—
61#2781C2214yes—
62#2775C2214yes—
63#2744C2214yes—
64#2734C2214yes—
65#2727C2214yes—
66#2727C2214yes—
67#2714C2214yes—
68#2705C2214yes—
69#2694C2214yes—
70#2694C2214yes—
71#2686C2214yes—
72#2682C2214yes—
73#2662C2214yes—
74#2662C2214yes—
75#2660C2212yes—
76#2620C2212yes—
77#2611C2214yes—
78#2610C2214yes—
79#2610C2214yes—
80#2610C2214yes—
81#2604C2214yes—
82#2604C2214yes—
83#2601C2214yes—
84#2593C2214yes—
85#2593C2214yes—
86#2574C2214yes—
87#2574C2214yes—
88#2574C2214yes—
89#2571C2212yes—
90#2567C2212yes—
91#2563C2212yes—
92#2563C2214yes—
93#2563C2212yes—
94#2563C2212yes—
95#2563C2212yes—
96#2562C2212yes—
97#2559C2214yes—
98#2559C2214yes—
99#2557C2214yes—
100#2555C2214yes—
101#2554C2214yes—
102#2554C2214yes—
103#2552C2212yes—
104#2552C2211yescharacteristic
105#2551C2212yes—
106#2551C2212yes—
107#2551C2211yescharacteristic
108#2550C2212yes—
109#2545C2214yes—
110#2542C2211yescharacteristic
111#2542C2211yescharacteristic
112#2540C2212yes—
113#2540C2212yes—
114#2538C2212yes—
115#2538C2212yes—
116#2538C2212yes—
117#2537C2212yes—
118#2537C2211yescharacteristic
119#2537C2212yes—
120#2537C2211yescharacteristic
121#2536C2212yes—
122#2536C2212yes—
123#2532C2214yes—
124#2529C2214yes—
125#2521C2214yes—
126#2521C2214yes—
127#2521C2214yes—
128#2519C2214yes—
129#2519C2214yes—
130#2519C2214yes—
131#2512C2212yes—
132#2512C2212yes—
133#2508C2214yes—
134#2508C2214yes—
135#2507C2212yes—
136#2506C2212yes—
137#2500C2214yes—
138#2498C2214yes—
139#2497C2212yes—
140#2497C2212yes—
141#2497C2212yes—
142#2496C2212yes—
143#2492C2212yes—
144#2492C2212yes—
145#2492C2212yes—
146#2491C2212yes—
147#2491C2212yes—
148#2491C2212yes—
149#2491C2212yes—
150#2491C2214yes—
151#2491C2212yes—
152#2491C2214yes—
153#2490C2212yes—
154#2489C2212yes—
155#2485C2212yes—
156#2479C2212yes—
157#2479C2214yes—
158#2479C2214yes—
159#2479C2214yes—
160#2476C2214yes—
161#2476C2214yes—
162#2474C2214yes—
163#2471C2212yes—
164#2467C2214yes—
165#2467C2212yes—
166#2464C2214yes—
167#2456C2214yes—
168#2456C2212yes—
169#2454C2211yescharacteristic
170#2454C2214yes—
171#2451C2212yes—
172#2448C2211yescharacteristic
173#2445C2212yes—
174#2441C2212yes—
175#2441C2211yescharacteristic
176#2439C2214yes—
177#2439C2212yes—
178#2439C2212yes—
179#2431C2211yescharacteristic
180#2428C2211yescharacteristic
181#2426C2212yes—
182#2423C2212yes—
183#2423C2211yescharacteristic
184#2417C2212yes—
185#2417C2212yes—
186#2416C2212yes—
187#2415C2212yes—
188#2415C2212yes—
189#2414C2212yes—
190#2414C2212yes—
191#2414C2214yes—
192#2414C2211yescharacteristic
193#2414C2212yes—
194#2407C2212yes—
195#2407C2211yescharacteristic
196#2397C2212yes—
197#2396C2214yes—
198#2396C2214yes—
199#2392C2212yes—
200#2374C2214yes—
201#2374C2212yes—
202#2373C2214yes—
203#2373C2212yes—
204#2373C2214yes—
205#2371C2214yes—
206#2370C2212yes—
207#2370C2211yescharacteristic
208#2369C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2365C2211yescharacteristic
212#2364C2212yes—
213#2363C2214yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2211yescharacteristic
217#2362C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2361C2211yescharacteristic
221#2359C2214yes—
222#2357C2211yescharacteristic
223#2355C2212yes—
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2212yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2354C2212yes—
236#2353C2212yes—
237#2352C2211yescharacteristic
238#2352C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243#2347C2211yescharacteristic
244#2346C2212yes—
245#2346C2214yes—
246#2346C2214yes—
247#2346C2212yes—
248#2346C2212yes—
249#2346C2212yes—
250#2345C2212yes—
251#2345C2211yescharacteristic
252#2341C2212yes—
253#2335C2214yes—
254#2334C2214yes—
255#2334C2214yes—
256#2334C2214yes—
257#2330C2212yes—
258#2326C2212yes—
259#2323C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×#127C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2214yes—
266C4×#126C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×#123C2212yes—
271C4×#121C2212yes—
272C4×#121C2211yescharacteristic
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278#2298C2214yes—
279#2296C2212yes—
280#2295C2211yescharacteristic
281#2293C2212yes—
282#2293C2214yes—
283#2293C2214yes—
284#2290C2212yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2276C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#556—28no—
301#556—48no—
302#555—48no—
303#553—28no—
304#552—216no—
305#552—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314#529—28no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2314yes—
358C2×#121C2314yes—
359C4×#41—28no—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2312yes—
413C22×C42C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2312yes—
488#392C2312yes—
489#392C2312yes—
490#392C2312yes—
491#392C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2314yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2312yes—
692#383C2312yes—
693#382C2314yes—
694#382C2311yescharacteristic
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#381C2312yes—
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812#376C2314yes—
813#376C2314yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2314yes—
818C2×#41—24no—
819C2×#41—42no—
820C2×#41—42no—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—84no—
861C4⋊Q8—82no—
862#127—42no—
863#126—28no—
864#126—216no—
865#126—28no—
866#126—216no—
867#126—48no—
868#126—48no—
869#126—48no—
870#125—24no—
871#125—216no—
872#125—48no—
873#125—44no—
874#125#4118yescomplemented
875#124—24no—
876#124—28no—
877#124—48no—
878#124—48no—
879#124—48no—
880#124—84no—
881#123—28no—
882#123—216no—
883#123—28no—
884#123—48no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893#121—24no—
894#121—28no—
895#121—24no—
896#121—24no—
897#121—28no—
898#121—48no—
899#121—42no—
900#121—44no—
901#121—44no—
902#121—42no—
903#121—44no—
904#121—44no—
905#121—84no—
906#121—84no—
907C4×Q8—24no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×Q8—28no—
911C4×Q8—48no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8#4118yes—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—84no—
937#117—24no—
938#117—28no—
939#117—28no—
940#117—216no—
941#117—24no—
942#117—28no—
943#117—28no—
944#117—28no—
945#117—24no—
946#117—28no—
947#117—48no—
948#117—48no—
949#117—44no—
950#117—82no—
951#117—84no—
952#117—82no—
953C2×C4⋊C4—28no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C42—24no—
1086C2×C42—28no—
1087C2×C42—24no—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195#41—416no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8C2×#4114yes—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—42no—
1229C2×D4—41no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—28no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—41no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4C2×#4114yes—
1389C4⋊C4C2×#4114yes—
1390C4⋊C4C2×#4114yes—
1391C4⋊C4C2×#4118yes—
1392C4⋊C4C2×#4118yes—
1393C4⋊C4C2×#4118yes—
1394C4⋊C4H(5,𝔽2)14yes—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C42−1+414yes—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—28no—
1466C42—24no—
1467C42—28no—
1468C42—28no—
1469C42—28no—
1470C42—28no—
1471C42—24no—
1472C42—28no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—42no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—42no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—41no—
1494C42C2×#4114yes—
1495C42C2×#4118yes—
1496C42C2×#4114yes—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23C2×2−1+412yes—
1532C23C2611yescharacteristic
1533Q8—28no—
1534Q8—48no—
1535Q8—88no—
1536Q8—164no—
1537D4—48no—
1538D4—48no—
1539D4—44no—
1540D4—48no—
1541D4—44no—
1542D4—44no—
1543D4—44no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—84no—
1548D4—84no—
1549D4—164no—
1550D4—164no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—44no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—88no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4114yes—
1643C2×C4C22×#4114yes—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4114yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4114yes—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C2×H(5,𝔽2)14yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×2−1+412yes—
1654C2×C4C2×2−1+412yes—
1655C2×C4#58512yes—
1656C2×C4#58512yes—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22C23×#4111yescharacteristic
1693C22C23×#4111yescharacteristic
1694C22C22×H(5,𝔽2)11yescharacteristic
1695C22C22×2−1+411yescharacteristic
1696C22C2×#58511yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22H(7,𝔽2)11yescharacteristic
1699C4—24no—
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—24no—
1704C4—24no—
1705C4—22no—
1706C4—24no—
1707C4—24no—
1708C4—22no—
1709C4—44no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—44no—
1719C4—44no—
1720C4—42no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—44no—
1727C4#348314yes—
1728C4#349314yes—
1729C2—42no—
1730C2—82no—
1731C2—82no—
1732C2—81no—
1733C2—82no—
1734C2C2×#348311yescharacteristic
1735C2C2×#349311yescharacteristic
1736C2#6280511yescharacteristic
1737C2#6292311yescharacteristic
1738C2#6299411yescharacteristic
1739C2#6300011yescharacteristic
1740C2#6301311yescharacteristic
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. #59964C2semidirect
2. #59713C2semidirect
3. #59444C2semidirect
4. #59292C2semidirect
5. #59233C2semidirect
6. #59233C2semidirect
7. #59230C2semidirect
8. #59217C2semidirect
9. #45133C2semidirect
10. #44980C2semidirect
11. #43857C2semidirect
12. #43823C2semidirect
13. #40125C2semidirect
14. #40118C2semidirect
15. #39625C2semidirect
16. #39136C2semidirect
17. #38829C2semidirect
18. #37952C2semidirect
19. #36504C2semidirect
20. #36473C2semidirect
21. #36413C2semidirect
22. #36369C2semidirect
23. #36269C2semidirect
24. #36194C2semidirect
25. #36187C2semidirect
26. #36186C2semidirect
27. #36065C2semidirect
28. #36028C2semidirect
29. #34941C2semidirect
30. #34727C2semidirect
31. #34324C2semidirect
32. #34300C2semidirect
33. #34243C2semidirect
34. C4×#553C2semidirect
35. #34129C2semidirect
874. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599642
#597132
#594442
#592922
#592332
#592302
#592172
#451332
#449802
#438572
#438232
#401252
#401182
#396252
#391362
#388292
#379522
#365042
#364732
#364132
#363692
#362692
#361942
#361872
#361862
#360652
#360282
#349412
#347272
#343242
#343002
#342432
C4×#5532
#341292