Finite Group Databasebeta

← #7801154

Subgroups — #7801154

Order 512.

5728 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59683C212yesmaximal, complemented
2#59680C212yesmaximal, complemented
3#50074C214yesmaximal, complemented
4#49982C214yesmaximal, complemented
5#48649C214yesmaximal, complemented
6#48407C214yesmaximal, complemented
7#45437C211yesmaximal, characteristic, complemented
8#45354C211yesmaximal, characteristic, complemented
9#44963C211yesmaximal, characteristic, complemented
10#44931C211yesmaximal, characteristic, complemented
11#44200C214yesmaximal, complemented
12#44184C214yesmaximal, complemented
13#43117C214yesmaximal, complemented
14#43012C214yesmaximal, complemented
15#40030C212yesmaximal, complemented
16#39808C212yesmaximal, complemented
17#39770C212yesmaximal, complemented
18#39756C211yesmaximal, characteristic, complemented
19#39745C211yesmaximal, characteristic, complemented
20#39383C212yesmaximal, complemented
21#37302C212yesmaximal, complemented
22#36601C211yesmaximal, characteristic, complemented
23#36592C211yesmaximal, characteristic, complemented
24#35844C211yesmaximal, characteristic, complemented
25#35741C211yesmaximal, characteristic, complemented
26#35741C211yesmaximal, characteristic, complemented
27#35704C211yesmaximal, characteristic, complemented
28#35278C211yesmaximal, characteristic, complemented
29#34882C211yesmaximal, characteristic, complemented
30#34431C212yesmaximal, complemented
31#34275C211yesmaximal, characteristic, complemented
32C2×#559C2211yescharacteristic, complemented
33C2×#553C2214yescomplemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2214yescomplemented
37C2×#550C2211yescharacteristic, complemented
38C2×#540C2212yes—
39C2×#538C2214yes—
40C2×#535C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#518C2211yescharacteristic
43#2867C2212yes—
44#2867C2211yescharacteristic, complemented
45#2861C2212yes—
46#2859C2211yescharacteristic, complemented
47#2856C2212yes—
48#2808C2214yescomplemented
49#2803C2214yescomplemented
50#2803C2214yescomplemented
51#2797C2214yescomplemented
52#2756C2214yescomplemented
53#2753C2214yescomplemented
54#2733C2214yes—
55#2727C2214yescomplemented
56#2714C2214yes—
57#2714C2214yes—
58#2714C2214yes—
59#2714C2214yescomplemented
60#2714C2214yescomplemented
61#2711C2214yescomplemented
62#2710C2214yescomplemented
63#2709C2214yescomplemented
64#2709C2214yescomplemented
65#2709C2214yescomplemented
66#2709C2214yescomplemented
67#2708C2214yescomplemented
68#2703C2214yes—
69#2699C2214yescomplemented
70#2699C2214yescomplemented
71#2688C2214yes—
72#2686C2214yescomplemented
73#2686C2214yescomplemented
74#2682C2214yes—
75#2676C2214yes—
76#2673C2214yes—
77#2673C2214yes—
78#2673C2214yes—
79#2673C2214yes—
80#2673C2214yescomplemented
81#2673C2214yescomplemented
82#2671C2214yescomplemented
83#2671C2214yescomplemented
84#2669C2214yes—
85#2669C2214yes—
86#2669C2214yes—
87#2669C2214yes—
88#2657C2212yes—
89#2648C2214yescomplemented
90#2641C2212yes—
91#2641C2212yescomplemented
92#2635C2212yes—
93#2635C2212yes—
94#2635C2212yes—
95#2631C2212yes—
96#2619C2211yescharacteristic
97#2619C2211yescharacteristic
98#2617C2214yes—
99#2610C2212yescomplemented
100#2610C2214yescomplemented
101#2602C2214yescomplemented
102#2602C2214yescomplemented
103#2600C2214yescomplemented
104#2598C2212yescomplemented
105#2596C2214yescomplemented
106#2592C2212yescomplemented
107#2591C2212yescomplemented
108#2586C2212yescomplemented
109#2585C2212yescomplemented
110#2581C2211yescharacteristic, complemented
111#2580C2211yescharacteristic
112#2580C2211yescharacteristic
113#2580C2211yescharacteristic, complemented
114#2574C2212yes—
115#2573C2214yescomplemented
116#2559C2214yescomplemented
117#2559C2214yescomplemented
118#2557C2214yescomplemented
119#2556C2212yes—
120#2555C2214yescomplemented
121#2555C2214yescomplemented
122#2548C2212yes—
123#2548C2212yes—
124#2548C2211yescharacteristic, complemented
125#2548C2212yescomplemented
126#2544C2212yes—
127#2544C2212yes—
128#2544C2214yescomplemented
129#2544C2212yescomplemented
130#2544C2214yescomplemented
131#2541C2212yes—
132#2541C2212yes—
133#2541C2212yes—
134#2541C2212yes—
135#2541C2211yescharacteristic
136#2541C2211yescharacteristic
137#2541C2211yescharacteristic, complemented
138#2541C2214yescomplemented
139#2541C2212yescomplemented
140#2541C2214yescomplemented
141#2541C2214yescomplemented
142#2539C2212yes—
143#2539C2212yes—
144#2535C2214yescomplemented
145#2522C2212yes—
146#2520C2212yescomplemented
147#2512C2212yes—
148#2512C2212yes—
149#2512C2212yescomplemented
150#2511C2212yescomplemented
151#2476C2214yescomplemented
152#2476C2214yescomplemented
153#2469C2214yescomplemented
154#2467C2214yescomplemented
155#2466C2214yescomplemented
156#2466C2214yescomplemented
157#2465C2212yes—
158#2464C2214yes—
159#2464C2214yes—
160#2462C2212yescomplemented
161#2459C2214yescomplemented
162#2457C2214yescomplemented
163#2456C2214yes—
164#2456C2214yes—
165#2456C2214yescomplemented
166#2456C2214yescomplemented
167#2455C2214yescomplemented
168#2448C2212yescomplemented
169#2447C2212yescomplemented
170#2445C2212yes—
171#2445C2212yes—
172#2445C2212yes—
173#2445C2212yes—
174#2445C2214yescomplemented
175#2445C2212yescomplemented
176#2445C2214yescomplemented
177#2445C2212yescomplemented
178#2445C2214yescomplemented
179#2445C2214yescomplemented
180#2444C2214yescomplemented
181#2443C2214yescomplemented
182#2443C2214yescomplemented
183#2433C2212yes—
184#2433C2212yes—
185#2431C2212yes—
186#2431C2212yes—
187#2431C2214yescomplemented
188#2430C2214yescomplemented
189#2430C2214yescomplemented
190#2428C2214yes—
191#2428C2214yes—
192#2428C2214yescomplemented
193#2424C2214yes—
194#2424C2214yes—
195#2424C2214yes—
196#2424C2214yes—
197#2416C2214yescomplemented
198#2414C2214yescomplemented
199#2406C2214yescomplemented
200#2406C2212yescomplemented
201#2404C2212yes—
202#2404C2212yes—
203#2399C2211yescharacteristic, complemented
204#2399C2211yescharacteristic, complemented
205#2397C2212yes—
206#2396C2211yescharacteristic
207#2396C2211yescharacteristic
208#2388C2212yes—
209#2388C2212yes—
210#2388C2212yes—
211#2377C2214yes—
212#2376C2214yescomplemented
213#2373C2214yescomplemented
214#2367C2212yescomplemented
215#2366C2212yes—
216#2366C2212yes—
217#2366C2212yescomplemented
218#2364C2214yescomplemented
219#2363C2214yes—
220#2363C2212yes—
221#2363C2212yes—
222#2361C2212yes—
223#2361C2214yes—
224#2361C2214yes—
225#2361C2212yes—
226#2359C2214yescomplemented
227#2358C2214yes—
228#2358C2214yes—
229#2357C2211yescharacteristic
230#2357C2211yescharacteristic
231#2357C2212yescomplemented
232#2357C2211yescharacteristic, complemented
233#2356C2211yescharacteristic, complemented
234#2354C2212yescomplemented
235#2349C2212yescomplemented
236D4×C4⋊C4C2212yescomplemented
237#2335C2214yescomplemented
238#2333C2214yescomplemented
239#2330C2212yescomplemented
240#2328C2211yescharacteristic
241#2328C2211yescharacteristic
242#2328C2211yescharacteristic, complemented
243#2328C2212yescomplemented
244#2328C2211yescharacteristic, complemented
245#2326C2211yescharacteristic
246#2326C2211yescharacteristic
247#2325C2214yes—
248#2324C2214yes—
249#2322C2214yescomplemented
250#2317C2211yescharacteristic
251C4×#127C2211yescharacteristic
252C4×#127C2211yescharacteristic
253C4×#127C2212yescomplemented
254C4×#127C2212yescomplemented
255C4×#125C2212yescomplemented
256C4×#125C2212yescomplemented
257C4×#124C2211yescharacteristic
258C4×#124C2211yescharacteristic
259C4×C22⋊Q8C2212yes—
260#2298C2212yes—
261#2297C2211yescharacteristic
262#2295C2211yescharacteristic, complemented
263#2295C2212yescomplemented
264C2×#390C2211yescharacteristic
265C42×Q8C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×D4C2311yescharacteristic
272#559—44no—
273#553—416no—
274#550—44no—
275#550—44no—
276#550—44no—
277#550—416no—
278#540—216no—
279#538—416no—
280#535—28no—
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2311yescharacteristic
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2314yes—
290C2×#127C2314yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2314yes—
294C2×#127C2312yes—
295C2×#127C2312yes—
296C2×#127C2314yes—
297C2×#127C2314yes—
298C2×#127C2314yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#125C2312yes—
303C2×#125C2312yes—
304C2×#124C2311yescharacteristic
305C2×#124C2311yescharacteristic
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309C2×#124C2312yes—
310C2×#124C2314yes—
311C2×#124C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353#520—44no—
354#518—44no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C42C2311yescharacteristic
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2311yescharacteristic
405#400C2311yescharacteristic
406#399C2312yes—
407#399C2312yes—
408#399C2312yes—
409#399C2311yescharacteristic
410#399C2311yescharacteristic
411#399C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2312yes—
427#396C2314yes—
428#396C2312yes—
429#396C2314yes—
430#395C2312yes—
431#395C2312yes—
432#395C2311yescharacteristic
433#395C2312yes—
434#395C2311yescharacteristic
435#395C2312yes—
436#395C2312yes—
437#394C2312yes—
438#394C2312yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
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#393C2311yescharacteristic
476#393C2312yes—
477#393C2312yes—
478#393C2312yes—
479#393C2314yes—
480#393C2311yescharacteristic
481#392C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2312yes—
486#392C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2312yes—
490#392C2312yes—
491#392C2312yes—
492#392C2312yes—
493#392C2314yes—
494#392C2312yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2314yes—
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
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#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#383C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#381C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737#376C2311yescharacteristic
738#376C2311yescharacteristic
739#376C2312yes—
740#376C2312yes—
741C2×#95C2314yes—
742C43C2311yescharacteristic
743C43C2312yes—
744C43C2311yescharacteristic
745C25C2412yes—
746C2×#41—24no—
747C2×#41—42no—
748C2×#41—42no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—48no—
753C2×#41—48no—
754C2×#41—84no—
755C22×Q8C2411yescharacteristic
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×D4—24no—
760C22×D4—42no—
761C22×D4—42no—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2411yescharacteristic
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2414yes—
809#127—24no—
810#127—24no—
811#127—28no—
812#127—24no—
813#127—24no—
814#127—44no—
815#127—44no—
816#127—44no—
817#127—44no—
818#127—44no—
819#127—44no—
820#127—44no—
821#127—48no—
822#127—48no—
823#127—48no—
824#127—84no—
825#127—84no—
826#127—84no—
827#126—216no—
828#126—48no—
829#126—48no—
830#125—28no—
831#125—28no—
832#124—24no—
833#124—24no—
834#124—44no—
835#124—48no—
836#124—44no—
837#124—44no—
838#124—48no—
839#124—84no—
840#123—216no—
841#123—216no—
842#123—48no—
843#123—48no—
844#123—48no—
845#123—48no—
846#123—48no—
847#123—84no—
848#123—84no—
849C22⋊Q8—28no—
850#121—28no—
851#121—28no—
852#121—216no—
853#121—216no—
854#121—216no—
855#121—216no—
856#121—216no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—44no—
870#121—44no—
871#121—44no—
872#121—84no—
873#121—84no—
874#121—84no—
875#121—84no—
876#120—216no—
877#120—48no—
878#120—48no—
879#120—84no—
880#120—84no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×Q8—42no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—44no—
893C4×D4—48no—
894C4×D4—48no—
895C4×D4—48no—
896C4×D4—48no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—48no—
904C4×D4—48no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—48no—
913C4×D4—84no—
914C4×D4—84no—
915#117—24no—
916#117—44no—
917#117—48no—
918#117—42no—
919#117#4118yescomplemented
920C2×C4⋊C4—44no—
921C2×C4⋊C4—42no—
922C2×C4⋊C4—48no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4—44no—
969C2×C22⋊C4—44no—
970C2×C22⋊C4—48no—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C42—42no—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110C24—24no—
1111C24—42no—
1112C24—42no—
1113C24—44no—
1114C24—44no—
1115C24C2512yes—
1116C24C2512yes—
1117C24C2514yes—
1118C24C2514yes—
1119C24C2512yes—
1120C24C2511yescharacteristic
1121#41—416no—
1122#41—816no—
1123#41—816no—
1124#41—816no—
1125C2×Q8—22no—
1126C2×Q8—24no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—22no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—416no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4C2×#4114yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4C2×#4118yes—
1335C4⋊C4H(5,𝔽2)18yes—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4C2×#4118yes—
1398C42—22no—
1399C42—24no—
1400C42—28no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—24no—
1410C42—24no—
1411C42—42no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42—44no—
1416C42—42no—
1417C42—44no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42C2×#4114yes—
1422C42C2×#4114yes—
1423C42H(5,𝔽2)14yes—
1424C23—21no—
1425C23—22no—
1426C23—21no—
1427C23—22no—
1428C23—24no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—24no—
1443C23—24no—
1444C23—24no—
1445C23—24no—
1446C23—22no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—48no—
1458C23—88no—
1459C23—162no—
1460C23—162no—
1461C23—164no—
1462C23C22×#4112yes—
1463C23C2611yescharacteristic
1464Q8—28no—
1465Q8—44no—
1466Q8—44no—
1467Q8—84no—
1468D4—48no—
1469D4—48no—
1470D4—48no—
1471D4—48no—
1472D4—44no—
1473D4—44no—
1474D4—44no—
1475D4—88no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—84no—
1480D4—88no—
1481D4—88no—
1482D4—88no—
1483D4—88no—
1484D4—84no—
1485D4—88no—
1486D4—88no—
1487D4—84no—
1488D4—84no—
1489D4—88no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—164no—
1494D4—164no—
1495D4—164no—
1496D4—164no—
1497D4—164no—
1498D4—164no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—28no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—48no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4—84no—
1560C2×C4—84no—
1561C2×C4—88no—
1562C2×C4—88no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—162no—
1567C2×C4—162no—
1568C2×C4—162no—
1569C2×C4—164no—
1570C2×C4—162no—
1571C2×C4C22×#4114yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C2×H(5,𝔽2)14yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×H(5,𝔽2)14yes—
1578C2×C4C2×H(5,𝔽2)14yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4#58512yes—
1582C22—24no—
1583C22—22no—
1584C22—41no—
1585C22—41no—
1586C22—42no—
1587C22—44no—
1588C22—44no—
1589C22—44no—
1590C22—44no—
1591C22—44no—
1592C22—44no—
1593C22—44no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—44no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—44no—
1602C22—42no—
1603C22—42no—
1604C22—44no—
1605C22—42no—
1606C22—42no—
1607C22—44no—
1608C22—42no—
1609C22—44no—
1610C22—44no—
1611C22—44no—
1612C22—44no—
1613C22—44no—
1614C22—44no—
1615C22—44no—
1616C22—168no—
1617C22C23×#4111yescharacteristic
1618C22C22×H(5,𝔽2)12yes—
1619C22C22×H(5,𝔽2)11yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22H(7,𝔽2)12yes—
1622C4—24no—
1623C4—24no—
1624C4—22no—
1625C4—24no—
1626C4—22no—
1627C4—22no—
1628C4—24no—
1629C4—24no—
1630C4—44no—
1631C4—44no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—41no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4#350614yes—
1647C2—42no—
1648C2—84no—
1649C2—84no—
1650C2—82no—
1651C2—82no—
1652C2—82no—
1653C2C2×#350611yescharacteristic
1654C2#6283211yescharacteristic
1655C2#6287611yescharacteristic
1656C2#6292012yes—
1657C2#6298612yes—
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. #59683C2semidirect
2. #59680C2semidirect
3. #50074C2semidirect
4. #49982C2semidirect
5. #48649C2semidirect
6. #48407C2semidirect
7. #45437C2semidirect
8. #45354C2semidirect
9. #44963C2semidirect
10. #44931C2semidirect
11. #44200C2semidirect
12. #44184C2semidirect
13. #43117C2semidirect
14. #43012C2semidirect
15. #40030C2semidirect
16. #39808C2semidirect
17. #39770C2semidirect
18. #39756C2semidirect
19. #39745C2semidirect
20. #39383C2semidirect
21. #37302C2semidirect
22. #36601C2semidirect
23. #36592C2semidirect
24. #35844C2semidirect
25. #35741C2semidirect
26. #35741C2semidirect
27. #35704C2semidirect
28. #35278C2semidirect
29. #34882C2semidirect
30. #34431C2semidirect
31. #34275C2semidirect
32. C2×#559C22semidirect
33. C2×#553C22semidirect
36. C2×#550C22semidirect
37. C2×#550C22semidirect
44. #2867C22semidirect
46. #2859C22semidirect
48. #2808C22semidirect
49. #2803C22semidirect
50. #2803C22semidirect
51. #2797C22semidirect
52. #2756C22semidirect
53. #2753C22semidirect
55. #2727C22semidirect
59. #2714C22semidirect
60. #2714C22semidirect
61. #2711C22semidirect
62. #2710C22semidirect
63. #2709C22semidirect
64. #2709C22semidirect
65. #2709C22semidirect
66. #2709C22semidirect
67. #2708C22semidirect
69. #2699C22semidirect
70. #2699C22semidirect
72. #2686C22semidirect
73. #2686C22semidirect
80. #2673C22semidirect
81. #2673C22semidirect
82. #2671C22semidirect
83. #2671C22semidirect
89. #2648C22semidirect
91. #2641C22semidirect
99. #2610C22semidirect
100. #2610C22semidirect
101. #2602C22semidirect
102. #2602C22semidirect
103. #2600C22semidirect
104. #2598C22semidirect
105. #2596C22semidirect
106. #2592C22semidirect
107. #2591C22semidirect
108. #2586C22semidirect
109. #2585C22semidirect
110. #2581C22semidirect
113. #2580C22semidirect
115. #2573C22semidirect
116. #2559C22semidirect
117. #2559C22semidirect
118. #2557C22semidirect
120. #2555C22semidirect
121. #2555C22semidirect
124. #2548C22semidirect
125. #2548C22semidirect
128. #2544C22semidirect
129. #2544C22semidirect
130. #2544C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
144. #2535C22semidirect
146. #2520C22semidirect
149. #2512C22semidirect
150. #2511C22semidirect
151. #2476C22semidirect
152. #2476C22semidirect
153. #2469C22semidirect
154. #2467C22semidirect
155. #2466C22semidirect
156. #2466C22semidirect
160. #2462C22semidirect
161. #2459C22semidirect
162. #2457C22semidirect
165. #2456C22semidirect
166. #2456C22semidirect
167. #2455C22semidirect
168. #2448C22semidirect
169. #2447C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2444C22semidirect
181. #2443C22semidirect
182. #2443C22semidirect
187. #2431C22semidirect
188. #2430C22semidirect
189. #2430C22semidirect
192. #2428C22semidirect
197. #2416C22semidirect
198. #2414C22semidirect
199. #2406C22semidirect
200. #2406C22semidirect
203. #2399C22semidirect
204. #2399C22semidirect
212. #2376C22semidirect
213. #2373C22semidirect
214. #2367C22semidirect
217. #2366C22semidirect
218. #2364C22semidirect
226. #2359C22semidirect
231. #2357C22semidirect
232. #2357C22semidirect
233. #2356C22semidirect
234. #2354C22semidirect
235. #2349C22semidirect
236. D4×C4⋊C4C22semidirect
237. #2335C22semidirect
238. #2333C22semidirect
239. #2330C22semidirect
242. #2328C22semidirect
243. #2328C22semidirect
244. #2328C22semidirect
249. #2322C22semidirect
253. C4×#127C22semidirect
254. C4×#127C22semidirect
255. C4×#125C22semidirect
256. C4×#125C22semidirect
262. #2295C22semidirect
263. #2295C22semidirect
265. C42×Q8C22semidirect
919. #117#41semidirect

Maximal subgroups

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

subgroupindex
#596832
#596802
#500742
#499822
#486492
#484072
#454372
#453542
#449632
#449312
#442002
#441842
#431172
#430122
#400302
#398082
#397702
#397562
#397452
#393832
#373022
#366012
#365922
#358442
#357412
#357042
#352782
#348822
#344312
#342752