Finite Group Databasebeta

← #7732287

Subgroups — #7732287

Order 512.

6172 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#47895C214yesmaximal, complemented
2#47894C214yesmaximal, complemented
3#47000C214yesmaximal, complemented
4#46396C214yesmaximal, complemented
5#43077C214yesmaximal, complemented
6#42997C214yesmaximal, complemented
7#39045C212yesmaximal, complemented
8#39040C212yesmaximal, complemented
9#38056C212yesmaximal, complemented
10#38055C212yesmaximal, complemented
11#37948C212yesmaximal, complemented
12#37940C212yesmaximal, complemented
13#37890C212yesmaximal, complemented
14#37860C212yesmaximal, complemented
15#37751C212yesmaximal, complemented
16#37748C212yesmaximal, complemented
17#37477C211yesmaximal, characteristic, complemented
18#37361C212yesmaximal, complemented
19#37346C212yesmaximal, complemented
20#36123C212yesmaximal, complemented
21#36108C212yesmaximal, complemented
22#35600C212yesmaximal, complemented
23#35525C212yesmaximal, complemented
24#35250C211yesmaximal, characteristic, complemented
25#35000C211yesmaximal, characteristic, complemented
26C2×#2407C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34175C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#546C2214yescomplemented
32C2×#535C2211yescharacteristic, complemented
33C2×#535C2211yescharacteristic, complemented
34C2×#534C2212yes—
35C2×#532C2212yescomplemented
36C2×#529C2212yescomplemented
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic, complemented
40C2×#520C2211yescharacteristic, complemented
41C2×#520C2211yescharacteristic, complemented
42C22×C4×D4C2211yescharacteristic
43#2856C2212yescomplemented
44#2855C2212yescomplemented
45#2854C2212yes—
46#2854C2212yescomplemented
47#2850C2212yescomplemented
48#2847C2212yes—
49#2847C2212yes—
50#2847C2212yes—
51#2841C2214yescomplemented
52#2797C2214yescomplemented
53#2786C2214yescomplemented
54#2784C2214yescomplemented
55#2781C2214yescomplemented
56#2778C2214yescomplemented
57#2778C2214yescomplemented
58#2764C2214yescomplemented
59#2763C2214yescomplemented
60#2759C2214yescomplemented
61#2756C2214yescomplemented
62#2754C2214yescomplemented
63#2753C2214yescomplemented
64#2753C2214yescomplemented
65#2750C2214yescomplemented
66#2749C2214yescomplemented
67#2747C2214yescomplemented
68#2746C2214yescomplemented
69#2744C2214yescomplemented
70#2743C2214yescomplemented
71#2737C2214yescomplemented
72#2717C2214yescomplemented
73#2708C2214yescomplemented
74#2708C2214yescomplemented
75#2706C2214yescomplemented
76#2706C2214yescomplemented
77#2703C2214yescomplemented
78#2696C2214yescomplemented
79#2693C2214yescomplemented
80#2691C2214yescomplemented
81#2688C2214yescomplemented
82#2688C2214yescomplemented
83#2688C2214yescomplemented
84#2686C2214yescomplemented
85#2686C2214yescomplemented
86#2685C2214yescomplemented
87#2684C2214yescomplemented
88#2678C2214yescomplemented
89#2676C2214yescomplemented
90#2671C2214yescomplemented
91#2668C2214yescomplemented
92#2659C2212yescomplemented
93#2659C2212yescomplemented
94#2646C2212yescomplemented
95#2646C2212yescomplemented
96#2645C2212yescomplemented
97#2644C2212yescomplemented
98#2641C2212yescomplemented
99#2640C2212yescomplemented
100#2629C2212yescomplemented
101#2628C2212yescomplemented
102#2618C2212yes—
103#2617C2212yes—
104#2615C2212yescomplemented
105#2615C2212yescomplemented
106#2609C2214yescomplemented
107#2600C2214yescomplemented
108#2598C2214yescomplemented
109#2598C2214yescomplemented
110#2579C2214yescomplemented
111#2578C2214yescomplemented
112#2576C2214yescomplemented
113#2574C2214yescomplemented
114#2569C2214yescomplemented
115#2564C2214yescomplemented
116#2560C2214yescomplemented
117#2557C2214yescomplemented
118#2555C2214yescomplemented
119#2543C2214yescomplemented
120#2543C2214yescomplemented
121#2535C2214yescomplemented
122#2534C2214yescomplemented
123#2534C2214yescomplemented
124#2516C2214yescomplemented
125#2513C2212yescomplemented
126#2511C2212yescomplemented
127#2510C2214yescomplemented
128#2491C2212yescomplemented
129#2489C2212yescomplemented
130#2488C2214yescomplemented
131#2488C2214yescomplemented
132#2486C2212yescomplemented
133#2481C2214yescomplemented
134#2481C2214yescomplemented
135#2477C2214yescomplemented
136#2476C2214yescomplemented
137#2476C2214yescomplemented
138#2474C2214yescomplemented
139#2472C2214yescomplemented
140#2467C2214yescomplemented
141#2464C2214yescomplemented
142#2464C2214yescomplemented
143#2464C2214yescomplemented
144#2461C2214yescomplemented
145#2457C2214yescomplemented
146#2456C2214yescomplemented
147#2454C2212yescomplemented
148#2451C2212yescomplemented
149#2450C2214yescomplemented
150#2448C2212yescomplemented
151#2447C2212yescomplemented
152#2445C2212yescomplemented
153#2445C2212yescomplemented
154#2444C2214yescomplemented
155#2443C2214yescomplemented
156#2442C2212yescomplemented
157#2442C2212yescomplemented
158#2440C2212yescomplemented
159#2440C2212yescomplemented
160#2437C2214yes—
161#2436C2212yes—
162#2433C2212yes—
163#2431C2212yescomplemented
164#2431C2212yescomplemented
165#2430C2214yescomplemented
166#2430C2214yescomplemented
167#2428C2212yescomplemented
168#2428C2212yescomplemented
169#2427C2212yescomplemented
170#2426C2212yescomplemented
171#2424C2214yescomplemented
172#2422C2212yescomplemented
173#2421C2212yescomplemented
174#2419C2214yescomplemented
175#2419C2214yescomplemented
176#2418C2214yescomplemented
177#2418C2214yescomplemented
178#2416C2212yescomplemented
179#2416C2212yescomplemented
180#2412C2214yescomplemented
181#2412C2214yescomplemented
182#2412C2214yescomplemented
183#2411C2214yescomplemented
184#2410C2214yescomplemented
185#2408C2212yescomplemented
186#2407C2214yes—
187#2407C2212yes—
188#2407C2212yes—
189#2407C2214yescomplemented
190#2407C2212yescomplemented
191#2407C2214yescomplemented
192#2407C2212yescomplemented
193#2406C2214yescomplemented
194#2404C2214yescomplemented
195#2404C2214yescomplemented
196#2403C2214yes—
197C2×#394C2212yes—
198C2×#392C2212yes—
199#2377C2214yescomplemented
200#2361C2212yes—
201#2361C2212yes—
202#2358C2214yescomplemented
203#2358C2214yescomplemented
204#2352C2214yescomplemented
205#2345C2212yescomplemented
206#2341C2212yescomplemented
207Q8×C22⋊C4C2212yescomplemented
208#2339C2214yescomplemented
209#2339C2212yescomplemented
210D4×C22⋊C4C2214yes—
211D4×C22⋊C4C2214yes—
212D4×C22⋊C4C2212yescomplemented
213D4×C22⋊C4C2212yescomplemented
214#2328C2212yescomplemented
215#2326C2212yescomplemented
216#2325C2212yes—
217#2325C2212yes—
218#2324C2212yescomplemented
219#2324C2212yescomplemented
220#2320C2212yescomplemented
221#2319C2212yescomplemented
222#2318C2212yescomplemented
223#2318C2212yescomplemented
224#2318C2212yescomplemented
225#2318C2212yescomplemented
226#2315C2211yescharacteristic, complemented
227#2315C2211yescharacteristic, complemented
228#2315C2212yescomplemented
229#2313C2211yescharacteristic, complemented
230#2313C2211yescharacteristic, complemented
231#2312C2212yes—
232#2312C2212yescomplemented
233#2311C2212yescomplemented
234#2311C2212yescomplemented
235#2311C2211yescharacteristic, complemented
236#2311C2211yescharacteristic, complemented
237#2311C2211yescharacteristic, complemented
238#2311C2211yescharacteristic, complemented
239#2308C2212yes—
240#2308C2212yes—
241C4×C22⋊Q8C2212yescomplemented
242C4×#121C2212yescomplemented
243C2×#391C2211yescharacteristic, complemented
244C2×#390C2211yescharacteristic, complemented
245#2290C2212yescomplemented
246#2290C2212yescomplemented
247#2290C2212yescomplemented
248#2290C2212yescomplemented
249C2×#386C2212yescomplemented
250C2×#385C2212yescomplemented
251#2283C2212yescomplemented
252#2280C2211yescharacteristic
253#2280C2211yescharacteristic
254#2280C2212yescomplemented
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic
257C2×#380C2212yescomplemented
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2311yescharacteristic
267C22×#41C2312yes—
268C22×#41C2314yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2312yes—
274C23×D4C2311yescharacteristic
275C23×D4C2312yes—
276C24×C4C2312yes—
277C24×C4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279#546—416no—
280#535—44no—
281#535—44no—
282#534—48no—
283#532—48no—
284C2×C4⋊Q8C2312yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287#529—48no—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×C22⋊Q8—44no—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×#121—28no—
308C2×#121—44no—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335#520—44no—
336#520—44no—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×D4—28no—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2312yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#390C2314yes—
486#390C2312yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2312yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2312yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2312yes—
546#387C2312yes—
547#387C2312yes—
548#387C2312yes—
549#387C2312yes—
550#387C2312yes—
551#387C2312yes—
552#387C2312yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2312yes—
564#386C2312yes—
565#386C2312yes—
566#386C2312yes—
567#386C2312yes—
568#386C2312yes—
569#386C2312yes—
570#386C2312yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2312yes—
617#385C2312yes—
618#385C2312yes—
619#385C2312yes—
620#385C2312yes—
621#385C2312yes—
622#385C2312yes—
623#385C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#384C2312yes—
640#383C2312yes—
641#383C2312yes—
642#383C2314yes—
643#382C2312yes—
644#382C2312yes—
645#382C2314yes—
646#382C2314yes—
647#382C2312yes—
648#381C2312yes—
649#381C2312yes—
650#381C2314yes—
651#381C2312yes—
652#381C2312yes—
653#381C2314yes—
654#381C2314yes—
655#381C2314yes—
656#381C2314yes—
657#380C2312yes—
658#380C2314yes—
659#380C2311yescharacteristic
660#380C2311yescharacteristic
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2311yescharacteristic
673#380C2311yescharacteristic
674#380C2311yescharacteristic
675#380C2311yescharacteristic
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2311yescharacteristic
680#380C2311yescharacteristic
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#379C2312yes—
694#379C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2312yes—
719#376C2312yes—
720C2×#95C2312yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C2×#95C2312yes—
724C2×#95C2312yes—
725C2×#95C2312yes—
726C2×#95C2312yes—
727C25C2412yes—
728C25C2411yescharacteristic
729C25C2411yescharacteristic
730C25C2412yes—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—24no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—28no—
737C2×#41—24no—
738C2×#41—24no—
739C2×#41—24no—
740C2×#41—28no—
741C2×#41—44no—
742C2×#41—44no—
743C2×#41—48no—
744C2×#41—48no—
745C2×#41—44no—
746C2×#41—42no—
747C2×#41—42no—
748C2×#41—42no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—464no—
752C2×#41—84no—
753C22×Q8—24no—
754C22×Q8—24no—
755C22×Q8—42no—
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×Q8C2414yes—
760C22×D4—24no—
761C22×D4—28no—
762C22×D4—24no—
763C22×D4—28no—
764C22×D4—28no—
765C22×D4—24no—
766C22×D4—24no—
767C22×D4—24no—
768C22×D4—42no—
769C22×D4—44no—
770C22×D4—42no—
771C22×D4—42no—
772C22×D4—42no—
773C22×D4—44no—
774C22×D4—44no—
775C22×D4—44no—
776C22×D4—44no—
777C22×D4—82no—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2411yescharacteristic
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C23×C4—28no—
800C23×C4—24no—
801C23×C4—42no—
802C23×C4—42no—
803C23×C4—44no—
804C23×C4—42no—
805C23×C4—42no—
806C23×C4—44no—
807C23×C4#4118yescomplemented
808C23×C4C2411yescharacteristic
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2411yescharacteristic
816C23×C4C2411yescharacteristic
817C23×C4C2412yes—
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C4⋊Q8—44no—
838#127—28no—
839#127—44no—
840#126—48no—
841#125—44no—
842#124—28no—
843#124—44no—
844#124—48no—
845#124—48no—
846#123—48no—
847#123—48no—
848#123—48no—
849#123—48no—
850#123—48no—
851#123—84no—
852#123—84no—
853C22⋊Q8—28no—
854C22⋊Q8—48no—
855C22⋊Q8—48no—
856C22⋊Q8—44no—
857C22⋊Q8—84no—
858#121—28no—
859#121—28no—
860#121—28no—
861#121—28no—
862#121—28no—
863#121—44no—
864#121—44no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—48no—
877#121—84no—
878#120—216no—
879#120—48no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884C4×Q8—28no—
885C4×Q8—44no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—48no—
892C4×D4—44no—
893C4×D4—48no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—48no—
897C4×D4—48no—
898C4×D4—48no—
899C4×D4—48no—
900C4×D4—48no—
901#117—42no—
902#117—42no—
903#117—44no—
904#117—42no—
905#117—42no—
906#117—48no—
907#117—44no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—42no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C22⋊C4—24no—
959C2×C22⋊C4—28no—
960C2×C22⋊C4—24no—
961C2×C22⋊C4—28no—
962C2×C22⋊C4—44no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—44no—
965C2×C22⋊C4—44no—
966C2×C22⋊C4—48no—
967C2×C22⋊C4—44no—
968C2×C22⋊C4—84no—
969C2×C22⋊C4—82no—
970C2×C22⋊C4—82no—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C42—24no—
1034C2×C42—44no—
1035C2×C42—44no—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104C24—22no—
1105C24—22no—
1106C24—22no—
1107C24—22no—
1108C24—24no—
1109C24—24no—
1110C24—24no—
1111C24—24no—
1112C24—24no—
1113C24—41no—
1114C24—41no—
1115C24—42no—
1116C24—41no—
1117C24—42no—
1118C24—41no—
1119C24—41no—
1120C24—41no—
1121C24—41no—
1122C24—41no—
1123C24—42no—
1124C24—42no—
1125C24—42no—
1126C24—42no—
1127C24—42no—
1128C24—42no—
1129C24—42no—
1130C24C2×#4114yes—
1131C24H(5,𝔽2)14yes—
1132C24C2514yes—
1133C24C2512yes—
1134C24C2511yescharacteristic
1135C24C2511yescharacteristic
1136C24C2512yes—
1137C24C2512yes—
1138C24C2511yescharacteristic
1139#41—232no—
1140#41—416no—
1141#41—416no—
1142#41—432no—
1143#41—416no—
1144#41—432no—
1145#41—832no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—416no—
1158C2×Q8H(5,𝔽2)14yes—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—416no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
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—432no—
1223C2×D4—416no—
1224C2×D4—88no—
1225C2×D4—816no—
1226C2×D4—816no—
1227C2×D4H(5,𝔽2)14yes—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—416no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—41no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—432no—
1311C22×C4—88no—
1312C22×C4C2×#4114yes—
1313C22×C4C2×#4114yes—
1314C22×C4C2×#4114yes—
1315C22×C4C2×#4114yes—
1316C22×C4C2×#4114yes—
1317C22×C4C2×#4114yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
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—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—28no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—22no—
1485C23—28no—
1486C23—28no—
1487C23—24no—
1488C23—22no—
1489C23—24no—
1490C23—22no—
1491C23—24no—
1492C23—24no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—24no—
1497C23—22no—
1498C23—24no—
1499C23—22no—
1500C23—24no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—48no—
1506C23—48no—
1507C23—48no—
1508C23—48no—
1509C23—48no—
1510C23—82no—
1511C23—82no—
1512C23—84no—
1513C23—82no—
1514C23—82no—
1515C23—84no—
1516C23—82no—
1517C23—82no—
1518C23—82no—
1519C23—82no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—162no—
1524C23—162no—
1525C23—162no—
1526C23—162no—
1527C23C22×#4112yes—
1528C23C22×#4112yes—
1529C23C22×#4112yes—
1530C23C2×H(5,𝔽2)14yes—
1531C23C2×H(5,𝔽2)14yes—
1532C23C2×H(5,𝔽2)12yes—
1533C23#58512yes—
1534C23C2611yescharacteristic
1535Q8—28no—
1536Q8—48no—
1537Q8—44no—
1538Q8—88no—
1539D4—216no—
1540D4—28no—
1541D4—48no—
1542D4—48no—
1543D4—48no—
1544D4—48no—
1545D4—48no—
1546D4—416no—
1547D4—48no—
1548D4—416no—
1549D4—44no—
1550D4—48no—
1551D4—84no—
1552D4—88no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—164no—
1559D4—164no—
1560C2×C4—216no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—28no—
1570C2×C4—28no—
1571C2×C4—28no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—84no—
1634C2×C4—82no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—82no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—88no—
1643C2×C4—84no—
1644C2×C4—88no—
1645C2×C4—162no—
1646C2×C4—164no—
1647C2×C4—162no—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C2×H(5,𝔽2)14yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—24no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—24no—
1667C22—22no—
1668C22—22no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—41no—
1689C22—42no—
1690C22—44no—
1691C22—44no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22—44no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—88no—
1704C22—88no—
1705C22—816no—
1706C22—168no—
1707C22#349414yes—
1708C22C23×#4111yescharacteristic
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22H(7,𝔽2)11yescharacteristic
1714C222−1+611yescharacteristic
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—24no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—44no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—44no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C4—44no—
1731C4—42no—
1732C4—42no—
1733C4—44no—
1734C4—42no—
1735C4—42no—
1736C4#349014yes—
1737C2—24no—
1738C2—42no—
1739C2—44no—
1740C2—44no—
1741C2—42no—
1742C2—82no—
1743C2—84no—
1744C2C2×#349011yescharacteristic
1745C2C2×#349411yescharacteristic
1746C2#6285611yescharacteristic
1747C2#6289211yescharacteristic
1748C2#6289511yescharacteristic
1749C2#6289811yescharacteristic
1750C2#6289911yescharacteristic
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. #47895C2semidirect
2. #47894C2semidirect
3. #47000C2semidirect
4. #46396C2semidirect
5. #43077C2semidirect
6. #42997C2semidirect
7. #39045C2semidirect
8. #39040C2semidirect
9. #38056C2semidirect
10. #38055C2semidirect
11. #37948C2semidirect
12. #37940C2semidirect
13. #37890C2semidirect
14. #37860C2semidirect
15. #37751C2semidirect
16. #37748C2semidirect
17. #37477C2semidirect
18. #37361C2semidirect
19. #37346C2semidirect
20. #36123C2semidirect
21. #36108C2semidirect
22. #35600C2semidirect
23. #35525C2semidirect
24. #35250C2semidirect
25. #35000C2semidirect
26. C2×#2407C2semidirect
27. #34379C2semidirect
28. #34175C2semidirect
29. #34057C2semidirect
31. C2×#546C22semidirect
32. C2×#535C22semidirect
33. C2×#535C22semidirect
35. C2×#532C22semidirect
36. C2×#529C22semidirect
37. C22×C22⋊Q8C22semidirect
39. C22×#121C22semidirect
40. C2×#520C22semidirect
41. C2×#520C22semidirect
43. #2856C22semidirect
44. #2855C22semidirect
46. #2854C22semidirect
47. #2850C22semidirect
51. #2841C22semidirect
52. #2797C22semidirect
53. #2786C22semidirect
54. #2784C22semidirect
55. #2781C22semidirect
56. #2778C22semidirect
57. #2778C22semidirect
58. #2764C22semidirect
59. #2763C22semidirect
60. #2759C22semidirect
61. #2756C22semidirect
62. #2754C22semidirect
63. #2753C22semidirect
64. #2753C22semidirect
65. #2750C22semidirect
66. #2749C22semidirect
67. #2747C22semidirect
68. #2746C22semidirect
69. #2744C22semidirect
70. #2743C22semidirect
71. #2737C22semidirect
72. #2717C22semidirect
73. #2708C22semidirect
74. #2708C22semidirect
75. #2706C22semidirect
76. #2706C22semidirect
77. #2703C22semidirect
78. #2696C22semidirect
79. #2693C22semidirect
80. #2691C22semidirect
81. #2688C22semidirect
82. #2688C22semidirect
83. #2688C22semidirect
84. #2686C22semidirect
85. #2686C22semidirect
86. #2685C22semidirect
87. #2684C22semidirect
88. #2678C22semidirect
89. #2676C22semidirect
90. #2671C22semidirect
91. #2668C22semidirect
92. #2659C22semidirect
93. #2659C22semidirect
94. #2646C22semidirect
95. #2646C22semidirect
96. #2645C22semidirect
97. #2644C22semidirect
98. #2641C22semidirect
99. #2640C22semidirect
100. #2629C22semidirect
101. #2628C22semidirect
104. #2615C22semidirect
105. #2615C22semidirect
106. #2609C22semidirect
107. #2600C22semidirect
108. #2598C22semidirect
109. #2598C22semidirect
110. #2579C22semidirect
111. #2578C22semidirect
112. #2576C22semidirect
113. #2574C22semidirect
114. #2569C22semidirect
115. #2564C22semidirect
116. #2560C22semidirect
117. #2557C22semidirect
118. #2555C22semidirect
119. #2543C22semidirect
120. #2543C22semidirect
121. #2535C22semidirect
122. #2534C22semidirect
123. #2534C22semidirect
124. #2516C22semidirect
125. #2513C22semidirect
126. #2511C22semidirect
127. #2510C22semidirect
128. #2491C22semidirect
129. #2489C22semidirect
130. #2488C22semidirect
131. #2488C22semidirect
132. #2486C22semidirect
133. #2481C22semidirect
134. #2481C22semidirect
135. #2477C22semidirect
136. #2476C22semidirect
137. #2476C22semidirect
138. #2474C22semidirect
139. #2472C22semidirect
140. #2467C22semidirect
141. #2464C22semidirect
142. #2464C22semidirect
143. #2464C22semidirect
144. #2461C22semidirect
145. #2457C22semidirect
146. #2456C22semidirect
147. #2454C22semidirect
148. #2451C22semidirect
149. #2450C22semidirect
150. #2448C22semidirect
151. #2447C22semidirect
152. #2445C22semidirect
153. #2445C22semidirect
154. #2444C22semidirect
155. #2443C22semidirect
156. #2442C22semidirect
157. #2442C22semidirect
158. #2440C22semidirect
159. #2440C22semidirect
163. #2431C22semidirect
164. #2431C22semidirect
165. #2430C22semidirect
166. #2430C22semidirect
167. #2428C22semidirect
168. #2428C22semidirect
169. #2427C22semidirect
170. #2426C22semidirect
171. #2424C22semidirect
172. #2422C22semidirect
173. #2421C22semidirect
174. #2419C22semidirect
175. #2419C22semidirect
176. #2418C22semidirect
177. #2418C22semidirect
178. #2416C22semidirect
179. #2416C22semidirect
180. #2412C22semidirect
181. #2412C22semidirect
182. #2412C22semidirect
183. #2411C22semidirect
184. #2410C22semidirect
185. #2408C22semidirect
189. #2407C22semidirect
190. #2407C22semidirect
191. #2407C22semidirect
192. #2407C22semidirect
193. #2406C22semidirect
194. #2404C22semidirect
195. #2404C22semidirect
199. #2377C22semidirect
202. #2358C22semidirect
203. #2358C22semidirect
204. #2352C22semidirect
205. #2345C22semidirect
206. #2341C22semidirect
207. Q8×C22⋊C4C22semidirect
208. #2339C22semidirect
209. #2339C22semidirect
212. D4×C22⋊C4C22semidirect
213. D4×C22⋊C4C22semidirect
214. #2328C22semidirect
215. #2326C22semidirect
218. #2324C22semidirect
219. #2324C22semidirect
220. #2320C22semidirect
221. #2319C22semidirect
222. #2318C22semidirect
223. #2318C22semidirect
224. #2318C22semidirect
225. #2318C22semidirect
226. #2315C22semidirect
227. #2315C22semidirect
228. #2315C22semidirect
229. #2313C22semidirect
230. #2313C22semidirect
232. #2312C22semidirect
233. #2311C22semidirect
234. #2311C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
237. #2311C22semidirect
238. #2311C22semidirect
241. C4×C22⋊Q8C22semidirect
242. C4×#121C22semidirect
243. C2×#391C22semidirect
244. C2×#390C22semidirect
245. #2290C22semidirect
246. #2290C22semidirect
247. #2290C22semidirect
248. #2290C22semidirect
249. C2×#386C22semidirect
250. C2×#385C22semidirect
251. #2283C22semidirect
254. #2280C22semidirect
257. C2×#380C22semidirect
258. C2×C4×C22⋊C4C22semidirect
807. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#478952
#478942
#470002
#463962
#430772
#429972
#390452
#390402
#380562
#380552
#379482
#379402
#378902
#378602
#377512
#377482
#374772
#373612
#373462
#361232
#361082
#356002
#355252
#352502
#350002
C2×#24072
#343792
#341752
#340572