Finite Group Databasebeta

← #7655952

Subgroups — #7655952

Order 512.

5778 conjugacy classes of subgroups.

The subgroup lattice has 1667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42617C212yesmaximal, complemented
2#42613C212yesmaximal, complemented
3#42611C212yesmaximal, complemented
4#42608C212yesmaximal, complemented
5#41310C214yesmaximal, complemented
6#41306C214yesmaximal, complemented
7#41301C214yesmaximal, complemented
8#41297C214yesmaximal, complemented
9#39496C211yesmaximal, characteristic, complemented
10#39429C214yesmaximal, complemented
11#39359C211yesmaximal, characteristic, complemented
12#39339C212yesmaximal, complemented
13#37941C212yesmaximal, complemented
14#37745C212yesmaximal, complemented
15#37496C214yesmaximal, complemented
16#37493C212yesmaximal, complemented
17#36581C212yesmaximal, complemented
18#36160C211yesmaximal, characteristic, complemented
19#36101C211yesmaximal, characteristic, complemented
20#35989C212yesmaximal, complemented
21#35941C212yesmaximal, complemented
22#35916C212yesmaximal, complemented
23#35830C212yesmaximal, complemented
24#35168C212yesmaximal, complemented
25#35005C211yesmaximal, characteristic, complemented
26#34570C211yesmaximal, characteristic, complemented
27#34562C212yesmaximal, complemented
28#34298C212yesmaximal, complemented
29C2×#2361C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#553C2212yescomplemented
32C2×#550C2211yescharacteristic, complemented
33C2×#547C2212yes—
34C2×#538C2212yes—
35C2×#537C2212yes—
36C2×#535C2214yes—
37C2×#525C2212yes—
38C22×#121C2211yescharacteristic
39C22×C4×D4C2212yes—
40C22×C4×D4C2211yescharacteristic
41C23×C4⋊C4C2211yescharacteristic
42#2857C2211yescharacteristic
43#2856C2211yescharacteristic
44#2847C2212yes—
45#2847C2214yes—
46#2847C2212yes—
47#2847C2212yes—
48#2832C2214yescomplemented
49#2831C2214yescomplemented
50#2829C2214yescomplemented
51#2829C2214yescomplemented
52#2828C2214yescomplemented
53#2828C2214yescomplemented
54#2806C2212yescomplemented
55#2805C2212yescomplemented
56#2802C2214yescomplemented
57#2780C2214yescomplemented
58#2779C2214yescomplemented
59#2739C2214yescomplemented
60#2715C2214yescomplemented
61#2712C2214yescomplemented
62#2709C2214yescomplemented
63#2701C2214yescomplemented
64#2692C2214yescomplemented
65#2691C2214yescomplemented
66#2688C2214yescomplemented
67#2688C2214yescomplemented
68#2687C2214yescomplemented
69#2686C2214yescomplemented
70#2683C2212yescomplemented
71#2682C2212yescomplemented
72#2681C2214yescomplemented
73#2676C2214yes—
74#2676C2214yes—
75#2673C2214yes—
76#2673C2214yes—
77#2673C2214yescomplemented
78#2671C2214yescomplemented
79#2671C2214yescomplemented
80#2662C2214yescomplemented
81#2661C2214yescomplemented
82#2661C2214yescomplemented
83#2653C2212yescomplemented
84#2653C2214yescomplemented
85#2653C2214yescomplemented
86#2652C2212yescomplemented
87#2650C2214yescomplemented
88#2649C2212yescomplemented
89#2649C2214yescomplemented
90#2648C2212yescomplemented
91#2648C2214yescomplemented
92#2648C2214yescomplemented
93#2648C2214yescomplemented
94#2646C2211yescharacteristic
95#2644C2212yescomplemented
96#2643C2212yes—
97#2641C2212yescomplemented
98#2639C2211yescharacteristic
99#2639C2212yes—
100#2638C2214yescomplemented
101#2635C2214yescomplemented
102#2630C2214yescomplemented
103#2630C2214yescomplemented
104#2627C2212yes—
105#2626C2211yescharacteristic
106#2624C2212yescomplemented
107#2622C2214yes—
108#2622C2212yes—
109#2619C2212yescomplemented
110#2618C2212yes—
111#2617C2212yes—
112#2617C2211yescharacteristic
113#2617C2214yes—
114#2613C2214yes—
115#2601C2214yescomplemented
116#2597C2214yescomplemented
117#2595C2214yescomplemented
118#2591C2214yescomplemented
119#2584C2212yescomplemented
120#2579C2214yescomplemented
121#2563C2211yescharacteristic, complemented
122#2559C2214yescomplemented
123#2559C2214yescomplemented
124#2559C2214yescomplemented
125#2559C2214yescomplemented
126#2557C2214yescomplemented
127#2557C2214yescomplemented
128#2557C2214yescomplemented
129#2555C2214yescomplemented
130#2550C2212yescomplemented
131#2544C2214yescomplemented
132#2543C2214yescomplemented
133#2541C2212yes—
134#2541C2212yes—
135#2541C2211yescharacteristic, complemented
136#2538C2211yescharacteristic, complemented
137#2537C2211yescharacteristic, complemented
138#2522C2214yescomplemented
139#2521C2214yescomplemented
140#2513C2212yescomplemented
141#2509C2212yescomplemented
142#2507C2212yescomplemented
143#2504C2212yescomplemented
144#2496C2212yescomplemented
145#2491C2212yes—
146#2491C2212yes—
147#2491C2212yescomplemented
148#2490C2212yescomplemented
149#2487C2212yescomplemented
150#2485C2212yescomplemented
151#2481C2214yes—
152#2481C2214yescomplemented
153#2477C2214yescomplemented
154#2472C2214yes—
155#2470C2214yescomplemented
156#2464C2214yescomplemented
157#2459C2214yescomplemented
158#2456C2214yescomplemented
159#2452C2212yescomplemented
160#2450C2214yescomplemented
161#2445C2212yescomplemented
162#2445C2212yescomplemented
163#2443C2214yes—
164#2443C2214yescomplemented
165#2442C2212yes—
166#2442C2212yescomplemented
167#2440C2212yescomplemented
168#2438C2214yes—
169#2433C2212yes—
170#2430C2214yes—
171#2430C2214yescomplemented
172#2428C2212yes—
173#2428C2212yes—
174#2428C2214yescomplemented
175#2428C2214yescomplemented
176#2428C2214yescomplemented
177#2428C2214yescomplemented
178#2428C2214yescomplemented
179#2428C2212yescomplemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2427C2214yescomplemented
183#2427C2214yescomplemented
184#2427C2214yescomplemented
185#2427C2214yescomplemented
186#2425C2214yescomplemented
187#2424C2214yes—
188#2424C2214yes—
189#2422C2212yescomplemented
190#2420C2212yescomplemented
191#2418C2214yes—
192#2416C2212yes—
193#2416C2212yes—
194#2416C2212yes—
195#2416C2212yescomplemented
196#2416C2212yescomplemented
197#2414C2212yescomplemented
198#2414C2212yescomplemented
199#2411C2214yes—
200#2408C2212yes—
201#2407C2212yescomplemented
202#2404C2214yes—
203#2401C2212yescomplemented
204#2398C2212yescomplemented
205#2395C2214yescomplemented
206#2395C2212yescomplemented
207#2392C2214yescomplemented
208#2392C2214yescomplemented
209#2392C2212yescomplemented
210#2388C2214yescomplemented
211#2374C2214yescomplemented
212#2369C2212yescomplemented
213#2368C2214yescomplemented
214#2366C2212yescomplemented
215#2363C2212yescomplemented
216#2363C2212yescomplemented
217#2361C2212yes—
218#2361C2212yes—
219#2361C2214yes—
220#2361C2214yes—
221#2361C2212yes—
222#2361C2212yes—
223#2361C2212yes—
224#2361C2212yescomplemented
225#2359C2214yes—
226#2357C2212yescomplemented
227#2354C2211yescharacteristic, complemented
228#2354C2211yescharacteristic, complemented
229#2352C2212yes—
230#2352C2212yescomplemented
231#2345C2212yescomplemented
232#2345C2212yescomplemented
233#2344C2212yes—
234#2339C2214yes—
235#2335C2214yescomplemented
236#2332C2214yescomplemented
237#2331C2212yescomplemented
238#2325C2212yes—
239#2324C2212yescomplemented
240#2316C2212yes—
241C4×C22⋊Q8C2211yescharacteristic
242C4×#123C2214yes—
243C4×#121C2211yescharacteristic
244C4×#121C2212yes—
245C4×#120C2214yes—
246C4×#120C2212yes—
247#2297C2214yes—
248C2×#390C2211yescharacteristic
249C2×#389C2211yescharacteristic
250#2290C2212yes—
251C2×#388C2212yes—
252C2×#386C2212yes—
253C2×#385C2212yes—
254#2280C2212yes—
255#2275C2212yescomplemented
256#2274C2212yescomplemented
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2314yes—
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2312yes—
265C24×C4C2312yes—
266#555—44no—
267#553—48no—
268#550—44no—
269#547—216no—
270#538—48no—
271#537—48no—
272#535—416no—
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2314yes—
279C2×#127C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2312yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287#525—48no—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×#121—28no—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2311yescharacteristic
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#120C2314yes—
332C2×#120C2312yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×D4—48no—
338C2×C4×D4—44no—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4—44no—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385C22×C42C2311yescharacteristic
386#401C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2312yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
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#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#384C2311yescharacteristic
655#384C2311yescharacteristic
656#382C2312yes—
657#382C2312yes—
658#381C2314yes—
659#381C2314yes—
660#381C2314yes—
661#380C2312yes—
662#380C2312yes—
663#380C2311yescharacteristic
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2312yes—
668#380C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2311yescharacteristic
678#380C2312yes—
679#379C2312yes—
680#379C2314yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718#376C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2312yes—
721C2×#95C2314yes—
722C2×#95C2311yescharacteristic
723C2×#95C2312yes—
724C25C2412yes—
725C25C2411yescharacteristic
726C2×#41—216no—
727C2×#41—44no—
728C2×#41—48no—
729C2×#41—48no—
730C2×#41—44no—
731C2×#41—82no—
732C22×Q8C2411yescharacteristic
733C22×Q8C2414yes—
734C22×Q8C2412yes—
735C22×D4—28no—
736C22×D4—28no—
737C22×D4—24no—
738C22×D4—42no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2411yescharacteristic
744C22×D4C2411yescharacteristic
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C23×C4—24no—
765C23×C4—28no—
766C23×C4—42no—
767C23×C4—42no—
768C23×C4—44no—
769C23×C4—44no—
770C23×C4—44no—
771C23×C4—82no—
772C23×C4—82no—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2414yes—
786C23×C4C2412yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C4⋊Q8—28no—
796C4⋊Q8—42no—
797#127—44no—
798#127—42no—
799#127—44no—
800#127—48no—
801#127—48no—
802#126—48no—
803#126—48no—
804#125—44no—
805#124—48no—
806#124—48no—
807#124—48no—
808#124—48no—
809#123—216no—
810#123—216no—
811#123—48no—
812#123—48no—
813#123—48no—
814#123—84no—
815C22⋊Q8—24no—
816C22⋊Q8—216no—
817C22⋊Q8—44no—
818C22⋊Q8—48no—
819C22⋊Q8—48no—
820C22⋊Q8—44no—
821#121—28no—
822#121—28no—
823#121—24no—
824#121—28no—
825#121—28no—
826#121—216no—
827#121—28no—
828#121—48no—
829#121—44no—
830#121—48no—
831#121—44no—
832#121—48no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—44no—
844#121—44no—
845#121—48no—
846#121—44no—
847#121—84no—
848#121—82no—
849#121—82no—
850#121—84no—
851#120—28no—
852#120—216no—
853#120—48no—
854#120—48no—
855#120—48no—
856C4×Q8—42no—
857C4×D4—28no—
858C4×D4—28no—
859C4×D4—24no—
860C4×D4—24no—
861C4×D4—28no—
862C4×D4—42no—
863C4×D4—42no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—48no—
867C4×D4—44no—
868C4×D4—42no—
869C4×D4—48no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—48no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—48no—
876C4×D4—48no—
877C4×D4—48no—
878C4×D4—84no—
879#117—28no—
880#117—44no—
881#117—44no—
882#117—48no—
883#117—44no—
884#117—82no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4—24no—
888C2×C4⋊C4—28no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—48no—
891C2×C4⋊C4—42no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4#4118yescomplemented
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C22⋊C4—24no—
942C2×C22⋊C4—28no—
943C2×C22⋊C4—24no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—82no—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C42—42no—
1013C2×C42—42no—
1014C2×C42—44no—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082C24—22no—
1083C24—22no—
1084C24—24no—
1085C24—24no—
1086C24—24no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24—42no—
1092C24—42no—
1093C24—42no—
1094C24—42no—
1095C24H(5,𝔽2)14yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2514yes—
1099C24C2512yes—
1100C24C2512yes—
1101C24C2511yescharacteristic
1102#41—832no—
1103#41—816no—
1104C2×Q8—28no—
1105C2×Q8—22no—
1106C2×Q8—41no—
1107C2×Q8—41no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—42no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—28no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—24no—
1135C2×D4—22no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—432no—
1145C2×D4—416no—
1146C2×D4—44no—
1147C2×D4—41no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—41no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—416no—
1248C22×C4—816no—
1249C22×C4—816no—
1250C22×C4C2×#4118yes—
1251C22×C4C2×#4114yes—
1252C22×C4H(5,𝔽2)14yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—41no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—41no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—41no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—41no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4C2×#4118yes—
1321C4⋊C4C2×#4118yes—
1322C4⋊C4H(5,𝔽2)14yes—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C42—24no—
1389C42—22no—
1390C42—22no—
1391C42—28no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—42no—
1396C42—41no—
1397C42—41no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—28no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—24no—
1423C23—22no—
1424C23—24no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—24no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—48no—
1451C23—48no—
1452C23—48no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23C22×#4112yes—
1458C23C2×H(5,𝔽2)14yes—
1459C23C2×H(5,𝔽2)12yes—
1460C23C2×H(5,𝔽2)12yes—
1461C23C2611yescharacteristic
1462Q8—44no—
1463Q8—88no—
1464Q8—162no—
1465D4—416no—
1466D4—416no—
1467D4—48no—
1468D4—416no—
1469D4—48no—
1470D4—48no—
1471D4—44no—
1472D4—44no—
1473D4—82no—
1474D4—88no—
1475D4—84no—
1476D4—84no—
1477D4—88no—
1478D4—88no—
1479D4—84no—
1480D4—88no—
1481D4—88no—
1482D4—164no—
1483D4—162no—
1484D4—164no—
1485D4—164no—
1486D4—164no—
1487D4—164no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—216no—
1499C2×C4—28no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—44no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—48no—
1555C2×C4—48no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—88no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—88no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—84no—
1569C2×C4—88no—
1570C2×C4—164no—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4118yes—
1573C2×C4C22×#4112yes—
1574C2×C4C2×H(5,𝔽2)14yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4#58512yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—416no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—44no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—44no—
1604C22—42no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—44no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—44no—
1621C22—816no—
1622C22#351914yes—
1623C22C23×#4111yescharacteristic
1624C22C22×H(5,𝔽2)11yescharacteristic
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C22×H(5,𝔽2)11yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22H(7,𝔽2)11yescharacteristic
1629C222−1+611yescharacteristic
1630C4—28no—
1631C4—24no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—42no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—44no—
1640C4—42no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—44no—
1645C4—42no—
1646C4—44no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4#346014yes—
1653C2—24no—
1654C2—44no—
1655C2—82no—
1656C2—84no—
1657C2—82no—
1658C2—82no—
1659C2C2×#346011yescharacteristic
1660C2C2×#351911yescharacteristic
1661C2#6285111yescharacteristic
1662C2#6289211yescharacteristic
1663C2#6289511yescharacteristic
1664C2#6290511yescharacteristic
1665C2#6292511yescharacteristic
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. #42617C2semidirect
2. #42613C2semidirect
3. #42611C2semidirect
4. #42608C2semidirect
5. #41310C2semidirect
6. #41306C2semidirect
7. #41301C2semidirect
8. #41297C2semidirect
9. #39496C2semidirect
10. #39429C2semidirect
11. #39359C2semidirect
12. #39339C2semidirect
13. #37941C2semidirect
14. #37745C2semidirect
15. #37496C2semidirect
16. #37493C2semidirect
17. #36581C2semidirect
18. #36160C2semidirect
19. #36101C2semidirect
20. #35989C2semidirect
21. #35941C2semidirect
22. #35916C2semidirect
23. #35830C2semidirect
24. #35168C2semidirect
25. #35005C2semidirect
26. #34570C2semidirect
27. #34562C2semidirect
28. #34298C2semidirect
29. C2×#2361C2semidirect
30. C2×#555C22semidirect
31. C2×#553C22semidirect
32. C2×#550C22semidirect
48. #2832C22semidirect
49. #2831C22semidirect
50. #2829C22semidirect
51. #2829C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2806C22semidirect
55. #2805C22semidirect
56. #2802C22semidirect
57. #2780C22semidirect
58. #2779C22semidirect
59. #2739C22semidirect
60. #2715C22semidirect
61. #2712C22semidirect
62. #2709C22semidirect
63. #2701C22semidirect
64. #2692C22semidirect
65. #2691C22semidirect
66. #2688C22semidirect
67. #2688C22semidirect
68. #2687C22semidirect
69. #2686C22semidirect
70. #2683C22semidirect
71. #2682C22semidirect
72. #2681C22semidirect
77. #2673C22semidirect
78. #2671C22semidirect
79. #2671C22semidirect
80. #2662C22semidirect
81. #2661C22semidirect
82. #2661C22semidirect
83. #2653C22semidirect
84. #2653C22semidirect
85. #2653C22semidirect
86. #2652C22semidirect
87. #2650C22semidirect
88. #2649C22semidirect
89. #2649C22semidirect
90. #2648C22semidirect
91. #2648C22semidirect
92. #2648C22semidirect
93. #2648C22semidirect
95. #2644C22semidirect
97. #2641C22semidirect
100. #2638C22semidirect
101. #2635C22semidirect
102. #2630C22semidirect
103. #2630C22semidirect
106. #2624C22semidirect
109. #2619C22semidirect
115. #2601C22semidirect
116. #2597C22semidirect
117. #2595C22semidirect
118. #2591C22semidirect
119. #2584C22semidirect
120. #2579C22semidirect
121. #2563C22semidirect
122. #2559C22semidirect
123. #2559C22semidirect
124. #2559C22semidirect
125. #2559C22semidirect
126. #2557C22semidirect
127. #2557C22semidirect
128. #2557C22semidirect
129. #2555C22semidirect
130. #2550C22semidirect
131. #2544C22semidirect
132. #2543C22semidirect
135. #2541C22semidirect
136. #2538C22semidirect
137. #2537C22semidirect
138. #2522C22semidirect
139. #2521C22semidirect
140. #2513C22semidirect
141. #2509C22semidirect
142. #2507C22semidirect
143. #2504C22semidirect
144. #2496C22semidirect
147. #2491C22semidirect
148. #2490C22semidirect
149. #2487C22semidirect
150. #2485C22semidirect
152. #2481C22semidirect
153. #2477C22semidirect
155. #2470C22semidirect
156. #2464C22semidirect
157. #2459C22semidirect
158. #2456C22semidirect
159. #2452C22semidirect
160. #2450C22semidirect
161. #2445C22semidirect
162. #2445C22semidirect
164. #2443C22semidirect
166. #2442C22semidirect
167. #2440C22semidirect
171. #2430C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2425C22semidirect
189. #2422C22semidirect
190. #2420C22semidirect
195. #2416C22semidirect
196. #2416C22semidirect
197. #2414C22semidirect
198. #2414C22semidirect
201. #2407C22semidirect
203. #2401C22semidirect
204. #2398C22semidirect
205. #2395C22semidirect
206. #2395C22semidirect
207. #2392C22semidirect
208. #2392C22semidirect
209. #2392C22semidirect
210. #2388C22semidirect
211. #2374C22semidirect
212. #2369C22semidirect
213. #2368C22semidirect
214. #2366C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
224. #2361C22semidirect
226. #2357C22semidirect
227. #2354C22semidirect
228. #2354C22semidirect
230. #2352C22semidirect
231. #2345C22semidirect
232. #2345C22semidirect
235. #2335C22semidirect
236. #2332C22semidirect
237. #2331C22semidirect
239. #2324C22semidirect
255. #2275C22semidirect
256. #2274C22semidirect
893. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#426172
#426132
#426112
#426082
#413102
#413062
#413012
#412972
#394962
#394292
#393592
#393392
#379412
#377452
#374962
#374932
#365812
#361602
#361012
#359892
#359412
#359162
#358302
#351682
#350052
#345702
#345622
#342982
C2×#23612