Finite Group Databasebeta

← #7801162

Subgroups — #7801162

Order 512.

6472 conjugacy classes of subgroups.

The subgroup lattice has 1743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59099C212yesmaximal, complemented
2#59095C212yesmaximal, complemented
3#49994C214yesmaximal, complemented
4#49984C214yesmaximal, complemented
5#48088C214yesmaximal, complemented
6#48081C214yesmaximal, complemented
7#45140C211yesmaximal, characteristic, complemented
8#45070C211yesmaximal, characteristic, complemented
9#45041C211yesmaximal, characteristic, complemented
10#44936C211yesmaximal, characteristic, complemented
11#44228C214yesmaximal, complemented
12#44148C214yesmaximal, complemented
13#43095C214yesmaximal, complemented
14#42998C214yesmaximal, complemented
15#40049C212yesmaximal, complemented
16#39745C211yesmaximal, characteristic, complemented
17#39628C211yesmaximal, characteristic, complemented
18#39405C212yesmaximal, complemented
19#37946C212yesmaximal, complemented
20#37674C212yesmaximal, complemented
21#37290C212yesmaximal, complemented
22#36195C211yesmaximal, characteristic, complemented
23D4×#127C211yesmaximal, characteristic, complemented
24#35844C211yesmaximal, characteristic, complemented
25#35741C211yesmaximal, characteristic, complemented
26#35728C211yesmaximal, characteristic, complemented
27#35691C211yesmaximal, characteristic, complemented
28#35293C211yesmaximal, characteristic, complemented
29#34879C211yesmaximal, characteristic, complemented
30#34364C212yesmaximal, complemented
31#34275C211yesmaximal, characteristic, complemented
32C2×#559C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic, complemented
34C2×#546C2212yescomplemented
35C2×#546C2214yescomplemented
36C2×D42C2211yescharacteristic
37C2×D42C2214yescomplemented
38C2×D42C2211yescharacteristic, complemented
39C2×D42C2212yescomplemented
40C2×#538C2214yescomplemented
41C2×#535C2211yescharacteristic
42C2×#532C2212yescomplemented
43C22×#127C2212yes—
44C2×#520C2211yescharacteristic, complemented
45C2×#518C2211yescharacteristic, complemented
46#2867C2211yescharacteristic, complemented
47#2862C2211yescharacteristic, complemented
48#2858C2212yescomplemented
49#2856C2212yescomplemented
50#2850C2212yescomplemented
51#2804C2214yescomplemented
52#2757C2214yescomplemented
53#2756C2214yescomplemented
54#2753C2214yescomplemented
55#2749C2214yescomplemented
56#2749C2214yescomplemented
57#2749C2214yescomplemented
58#2749C2214yescomplemented
59#2732C2214yescomplemented
60#2730C2214yescomplemented
61#2714C2214yescomplemented
62#2708C2214yescomplemented
63#2706C2214yescomplemented
64#2703C2214yescomplemented
65#2703C2214yescomplemented
66#2701C2214yescomplemented
67#2699C2214yescomplemented
68#2691C2214yescomplemented
69#2688C2214yescomplemented
70#2688C2214yescomplemented
71#2688C2214yescomplemented
72#2688C2214yescomplemented
73#2688C2214yescomplemented
74#2685C2214yescomplemented
75#2684C2214yescomplemented
76#2684C2214yescomplemented
77#2678C2214yescomplemented
78#2678C2214yescomplemented
79#2676C2214yescomplemented
80#2676C2214yescomplemented
81#2673C2214yescomplemented
82#2673C2214yescomplemented
83#2673C2214yescomplemented
84#2673C2214yescomplemented
85#2671C2214yescomplemented
86#2670C2214yescomplemented
87#2670C2214yescomplemented
88#2669C2214yescomplemented
89#2669C2214yescomplemented
90#2668C2214yescomplemented
91#2657C2212yescomplemented
92#2648C2214yescomplemented
93#2647C2212yescomplemented
94#2635C2212yescomplemented
95#2631C2212yescomplemented
96#2631C2214yescomplemented
97#2619C2211yescharacteristic, complemented
98#2619C2212yescomplemented
99#2619C2211yescharacteristic, complemented
100#2618C2212yescomplemented
101#2617C2212yescomplemented
102#2610C2212yescomplemented
103#2603C2214yescomplemented
104#2603C2214yescomplemented
105#2598C2212yescomplemented
106#2580C2211yescharacteristic, complemented
107#2580C2211yescharacteristic, complemented
108#2574C2212yescomplemented
109#2573C2212yescomplemented
110#2572C2212yescomplemented
111#2572C2214yescomplemented
112#2559C2214yescomplemented
113#2557C2214yescomplemented
114#2553C2212yescomplemented
115#2548C2211yescharacteristic, complemented
116#2544C2212yescomplemented
117#2544C2212yescomplemented
118#2544C2214yescomplemented
119#2544C2214yescomplemented
120#2543C2212yescomplemented
121#2543C2214yescomplemented
122#2543C2212yescomplemented
123#2541C2211yescharacteristic
124#2541C2211yescharacteristic, complemented
125#2541C2214yescomplemented
126#2541C2212yescomplemented
127#2541C2211yescharacteristic, complemented
128#2541C2212yescomplemented
129#2539C2212yescomplemented
130#2536C2211yescharacteristic, complemented
131#2535C2211yescharacteristic
132#2532C2214yescomplemented
133#2526C2214yescomplemented
134#2524C2212yescomplemented
135#2515C2212yescomplemented
136#2513C2212yescomplemented
137#2512C2212yescomplemented
138#2492C2212yescomplemented
139#2491C2212yescomplemented
140#2472C2214yescomplemented
141#2472C2214yescomplemented
142#2468C2212yescomplemented
143#2464C2214yescomplemented
144#2464C2214yescomplemented
145#2464C2214yescomplemented
146#2459C2214yescomplemented
147#2459C2214yescomplemented
148#2457C2212yes—
149#2457C2214yescomplemented
150#2456C2214yescomplemented
151#2456C2214yescomplemented
152#2456C2214yescomplemented
153#2452C2212yescomplemented
154#2452C2212yescomplemented
155#2450C2214yescomplemented
156#2450C2214yescomplemented
157#2448C2212yescomplemented
158#2447C2212yescomplemented
159#2445C2212yescomplemented
160#2445C2212yescomplemented
161#2444C2214yescomplemented
162#2443C2214yescomplemented
163#2435C2212yescomplemented
164#2433C2212yes—
165#2433C2214yescomplemented
166#2433C2214yescomplemented
167#2433C2212yescomplemented
168#2433C2212yescomplemented
169#2433C2212yescomplemented
170#2431C2212yescomplemented
171#2431C2214yescomplemented
172#2431C2214yescomplemented
173#2431C2214yescomplemented
174#2428C2214yescomplemented
175#2428C2212yescomplemented
176#2428C2212yescomplemented
177#2427C2212yescomplemented
178#2426C2212yescomplemented
179#2424C2214yescomplemented
180#2424C2214yescomplemented
181#2424C2214yescomplemented
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2422C2212yescomplemented
186#2420C2212yescomplemented
187#2418C2214yescomplemented
188#2416C2212yescomplemented
189#2414C2212yescomplemented
190#2411C2214yescomplemented
191#2410C2214yescomplemented
192#2410C2214yescomplemented
193#2410C2214yescomplemented
194#2410C2214yescomplemented
195#2410C2214yescomplemented
196#2408C2212yes—
197#2408C2212yes—
198#2407C2214yescomplemented
199#2405C2214yescomplemented
200#2404C2214yescomplemented
201#2404C2214yescomplemented
202#2404C2214yescomplemented
203#2404C2212yescomplemented
204#2403C2214yescomplemented
205#2403C2214yescomplemented
206#2402C2211yescharacteristic, complemented
207#2398C2211yescharacteristic, complemented
208#2397C2212yescomplemented
209#2396C2211yescharacteristic, complemented
210#2392C2211yescharacteristic
211#2388C2212yescomplemented
212C2×#394C2212yescomplemented
213C2×#392C2212yes—
214#2380C2214yescomplemented
215#2380C2214yescomplemented
216#2372C2214yescomplemented
217#2366C2212yescomplemented
218#2366C2212yescomplemented
219#2366C2212yescomplemented
220#2366C2212yescomplemented
221#2363C2212yescomplemented
222#2363C2214yescomplemented
223#2361C2212yescomplemented
224#2361C2214yescomplemented
225#2358C2214yescomplemented
226#2358C2214yescomplemented
227#2358C2214yescomplemented
228#2357C2211yescharacteristic, complemented
229#2356C2211yescharacteristic, complemented
230#2349C2211yescharacteristic, complemented
231#2349C2211yescharacteristic, complemented
232D4×C22⋊C4C2212yescomplemented
233D4×C22⋊C4C2214yescomplemented
234D4×C22⋊C4C2212yescomplemented
235D4×C22⋊C4C2212yescomplemented
236D4×C22⋊C4C2212yescomplemented
237D4×C22⋊C4C2214yescomplemented
238#2328C2212yes—
239#2328C2211yescharacteristic
240#2328C2211yescharacteristic, complemented
241#2328C2212yescomplemented
242#2328C2214yescomplemented
243#2328C2214yescomplemented
244#2328C2212yescomplemented
245#2328C2211yescharacteristic, complemented
246#2328C2211yescharacteristic, complemented
247#2326C2211yescharacteristic, complemented
248#2326C2211yescharacteristic, complemented
249#2321C2214yescomplemented
250#2317C2211yescharacteristic, complemented
251#2308C2214yescomplemented
252#2308C2214yescomplemented
253C4×#127C2211yescharacteristic
254C4×#127C2211yescharacteristic, complemented
255C4×#126C2212yescomplemented
256C4×#124C2211yescharacteristic, complemented
257C4×#124C2211yescharacteristic, complemented
258C4×#123C2212yescomplemented
259#2297C2211yescharacteristic, complemented
260#2295C2211yescharacteristic, complemented
261C2×#390C2211yescharacteristic, complemented
262#2290C2212yescomplemented
263#2283C2212yescomplemented
264#2283C2212yescomplemented
265C42×D4C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2314yes—
269C22×#41C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C23×D4C2312yes—
273C23×D4C2314yes—
274C23×D4C2314yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277C23×D4C2314yes—
278#559—44no—
279#550—44no—
280#546—48no—
281#546—416no—
282D42—44no—
283D42—44no—
284D42—416no—
285D42—48no—
286#538—416no—
287#535—28no—
288#532—48no—
289C2×C4⋊Q8C2312yes—
290C2×#127—216no—
291C2×#127C2311yescharacteristic
292C2×#127C2312yes—
293C2×#127C2314yes—
294C2×#127C2311yescharacteristic
295C2×#127C2311yescharacteristic
296C2×#127C2312yes—
297C2×#127C2312yes—
298C2×#127C2314yes—
299C2×#127C2312yes—
300C2×#127C2314yes—
301C2×#127C2312yes—
302C2×#127C2312yes—
303C2×#127C2314yes—
304C2×#127C2311yescharacteristic
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#124C2311yescharacteristic
308C2×#124C2311yescharacteristic
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#124C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2314yes—
315C2×#124C2314yes—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
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×#121C2314yes—
349C2×#121C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364#520—44no—
365#518—44no—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2314yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C42C2312yes—
412C22×C42C2311yescharacteristic
413#400C2312yes—
414#400C2314yes—
415#400C2311yescharacteristic
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#399C2312yes—
421#399C2312yes—
422#399C2311yescharacteristic
423#399C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2311yescharacteristic
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2311yescharacteristic
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2311yescharacteristic
451#394C2312yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2311yescharacteristic
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2311yescharacteristic
483#393C2312yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#392C2312yes—
491#392C2312yes—
492#392C2314yes—
493#392C2312yes—
494#392C2312yes—
495#392C2312yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2312yes—
506#392C2314yes—
507#392C2311yescharacteristic
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#391C2312yes—
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
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#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#383C2312yes—
682#383C2312yes—
683#383C2312yes—
684#383C2314yes—
685#383C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#381C2312yes—
694#381C2314yes—
695#381C2312yes—
696#381C2312yes—
697#381C2312yes—
698#381C2314yes—
699#381C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#379C2314yes—
708#379C2314yes—
709#379C2314yes—
710#379C2314yes—
711#379C2314yes—
712#379C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2312yes—
739#376C2311yescharacteristic
740#376C2311yescharacteristic
741#376C2312yes—
742#376C2314yes—
743#376C2312yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C43C2311yescharacteristic
747C43C2311yescharacteristic
748C25C2412yes—
749C25C2414yes—
750C25C2414yes—
751C2×#41—24no—
752C2×#41—24no—
753C2×#41—48no—
754C2×#41—42no—
755C2×#41—48no—
756C2×#41—44no—
757C2×#41—84no—
758C2×#41—84no—
759C22×Q8C2411yescharacteristic
760C22×Q8C2411yescharacteristic
761C22×Q8C2414yes—
762C22×D4—24no—
763C22×D4—216no—
764C22×D4—28no—
765C22×D4—28no—
766C22×D4—216no—
767C22×D4—24no—
768C22×D4—42no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—48no—
772C22×D4—44no—
773C22×D4—44no—
774C22×D4—44no—
775C22×D4—44no—
776C22×D4—48no—
777C22×D4—48no—
778C22×D4—48no—
779C22×D4—48no—
780C22×D4—48no—
781C22×D4—84no—
782C22×D4—84no—
783C22×D4—84no—
784C22×D4C2411yescharacteristic
785C22×D4C2411yescharacteristic
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2411yescharacteristic
794C22×D4C2411yescharacteristic
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2414yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C4⋊Q8—44no—
838#127—28no—
839#127—28no—
840#127—216no—
841#127—216no—
842#127—24no—
843#127—28no—
844#127—24no—
845#127—24no—
846#127—44no—
847#127—44no—
848#127—48no—
849#127—44no—
850#127—84no—
851#127#4118yescomplemented
852#126—28no—
853#126—48no—
854#124—24no—
855#124—216no—
856#124—24no—
857#124—48no—
858#124—48no—
859#124—44no—
860#124—44no—
861#124—44no—
862#124—84no—
863#123—28no—
864#123—48no—
865#123—48no—
866#123—48no—
867#123—48no—
868#123—48no—
869C22⋊Q8—48no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872#121—216no—
873#121—28no—
874#121—28no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—48no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—48no—
894#121—48no—
895#121—84no—
896#121—84no—
897#120—216no—
898#120—216no—
899#120—216no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—48no—
906#120—48no—
907#120—48no—
908#120—48no—
909#120—84no—
910#120—84no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—42no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—48no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—84no—
941C4×D4—84no—
942#117—24no—
943#117—24no—
944#117—44no—
945#117—42no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—42no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C22⋊C4—44no—
983C2×C22⋊C4—44no—
984C2×C22⋊C4—48no—
985C2×C22⋊C4—48no—
986C2×C22⋊C4—48no—
987C2×C22⋊C4—48no—
988C2×C22⋊C4—84no—
989C2×C22⋊C4—84no—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—24no—
1062C2×C42—28no—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24—24no—
1135C24—28no—
1136C24—28no—
1137C24—28no—
1138C24—28no—
1139C24—24no—
1140C24—42no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24—44no—
1148C24—44no—
1149C24—44no—
1150C24—44no—
1151C24—44no—
1152C24—44no—
1153C24C2512yes—
1154C24C2514yes—
1155C24C2514yes—
1156C24C2512yes—
1157C24C2512yes—
1158C24C2512yes—
1159C24C2511yescharacteristic
1160#41—416no—
1161#41—832no—
1162#41—816no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—28no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—416no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—816no—
1267C2×D4—816no—
1268C2×D4—832no—
1269C2×D4—832no—
1270C2×D4—816no—
1271C2×D4—816no—
1272C2×D4—832no—
1273C2×D4C2×#4114yes—
1274C2×D4C2×#4114yes—
1275C2×D4C2×#41116yes—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4H(5,𝔽2)14yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
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—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4H(5,𝔽2)18yes—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—22no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—28no—
1467C42—24no—
1468C42—24no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—42no—
1473C42—42no—
1474C42C2×#4114yes—
1475C42H(5,𝔽2)14yes—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—24no—
1481C23—22no—
1482C23—22no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—24no—
1496C23—24no—
1497C23—24no—
1498C23—24no—
1499C23—24no—
1500C23—22no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—24no—
1509C23—24no—
1510C23—24no—
1511C23—24no—
1512C23—24no—
1513C23—48no—
1514C23—416no—
1515C23—416no—
1516C23—88no—
1517C23—88no—
1518C23—88no—
1519C23—88no—
1520C23—88no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23—162no—
1527C23—162no—
1528C23—164no—
1529C23—164no—
1530C23—164no—
1531C23—164no—
1532C23C22×#4114yes—
1533C23C22×#4114yes—
1534C23C2×H(5,𝔽2)14yes—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2611yescharacteristic
1537Q8—44no—
1538Q8—44no—
1539Q8—88no—
1540D4—28no—
1541D4—28no—
1542D4—28no—
1543D4—416no—
1544D4—48no—
1545D4—416no—
1546D4—416no—
1547D4—48no—
1548D4—48no—
1549D4—416no—
1550D4—44no—
1551D4—48no—
1552D4—48no—
1553D4—84no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—164no—
1573D4—164no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—28no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—48no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4—88no—
1642C2×C4—162no—
1643C2×C4—162no—
1644C2×C4—162no—
1645C2×C4—164no—
1646C2×C4—162no—
1647C2×C4—164no—
1648C2×C4C22×#4114yes—
1649C2×C4C22×#4112yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4C2×H(5,𝔽2)14yes—
1653C2×C4C2×H(5,𝔽2)14yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C22—24no—
1658C22—28no—
1659C22—28no—
1660C22—22no—
1661C22—24no—
1662C22—24no—
1663C22—24no—
1664C22—24no—
1665C22—24no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—44no—
1677C22—44no—
1678C22—42no—
1679C22—44no—
1680C22—44no—
1681C22—44no—
1682C22—44no—
1683C22—44no—
1684C22—42no—
1685C22—44no—
1686C22—44no—
1687C22—44no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—44no—
1692C22—44no—
1693C22—44no—
1694C22—44no—
1695C22—44no—
1696C22—44no—
1697C22—44no—
1698C22—168no—
1699C22—1616no—
1700C22—1616no—
1701C22C23×#4111yescharacteristic
1702C22C22×H(5,𝔽2)12yes—
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22H(7,𝔽2)12yes—
1706C4—24no—
1707C4—24no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—24no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—44no—
1727C4—44no—
1728C4—42no—
1729C4#351914yes—
1730C2—44no—
1731C2—42no—
1732C2—44no—
1733C2—44no—
1734C2—84no—
1735C2—84no—
1736C2—82no—
1737C2C2×#351911yescharacteristic
1738C2#6283211yescharacteristic
1739C2#6287611yescharacteristic
1740C2#6291212yes—
1741C2#6298312yes—
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. #59099C2semidirect
2. #59095C2semidirect
3. #49994C2semidirect
4. #49984C2semidirect
5. #48088C2semidirect
6. #48081C2semidirect
7. #45140C2semidirect
8. #45070C2semidirect
9. #45041C2semidirect
10. #44936C2semidirect
11. #44228C2semidirect
12. #44148C2semidirect
13. #43095C2semidirect
14. #42998C2semidirect
15. #40049C2semidirect
16. #39745C2semidirect
17. #39628C2semidirect
18. #39405C2semidirect
19. #37946C2semidirect
20. #37674C2semidirect
21. #37290C2semidirect
22. #36195C2semidirect
23. D4×#127C2semidirect
24. #35844C2semidirect
25. #35741C2semidirect
26. #35728C2semidirect
27. #35691C2semidirect
28. #35293C2semidirect
29. #34879C2semidirect
30. #34364C2semidirect
31. #34275C2semidirect
32. C2×#559C22semidirect
33. C2×#550C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
37. C2×D42C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
40. C2×#538C22semidirect
42. C2×#532C22semidirect
44. C2×#520C22semidirect
45. C2×#518C22semidirect
46. #2867C22semidirect
47. #2862C22semidirect
48. #2858C22semidirect
49. #2856C22semidirect
50. #2850C22semidirect
51. #2804C22semidirect
52. #2757C22semidirect
53. #2756C22semidirect
54. #2753C22semidirect
55. #2749C22semidirect
56. #2749C22semidirect
57. #2749C22semidirect
58. #2749C22semidirect
59. #2732C22semidirect
60. #2730C22semidirect
61. #2714C22semidirect
62. #2708C22semidirect
63. #2706C22semidirect
64. #2703C22semidirect
65. #2703C22semidirect
66. #2701C22semidirect
67. #2699C22semidirect
68. #2691C22semidirect
69. #2688C22semidirect
70. #2688C22semidirect
71. #2688C22semidirect
72. #2688C22semidirect
73. #2688C22semidirect
74. #2685C22semidirect
75. #2684C22semidirect
76. #2684C22semidirect
77. #2678C22semidirect
78. #2678C22semidirect
79. #2676C22semidirect
80. #2676C22semidirect
81. #2673C22semidirect
82. #2673C22semidirect
83. #2673C22semidirect
84. #2673C22semidirect
85. #2671C22semidirect
86. #2670C22semidirect
87. #2670C22semidirect
88. #2669C22semidirect
89. #2669C22semidirect
90. #2668C22semidirect
91. #2657C22semidirect
92. #2648C22semidirect
93. #2647C22semidirect
94. #2635C22semidirect
95. #2631C22semidirect
96. #2631C22semidirect
97. #2619C22semidirect
98. #2619C22semidirect
99. #2619C22semidirect
100. #2618C22semidirect
101. #2617C22semidirect
102. #2610C22semidirect
103. #2603C22semidirect
104. #2603C22semidirect
105. #2598C22semidirect
106. #2580C22semidirect
107. #2580C22semidirect
108. #2574C22semidirect
109. #2573C22semidirect
110. #2572C22semidirect
111. #2572C22semidirect
112. #2559C22semidirect
113. #2557C22semidirect
114. #2553C22semidirect
115. #2548C22semidirect
116. #2544C22semidirect
117. #2544C22semidirect
118. #2544C22semidirect
119. #2544C22semidirect
120. #2543C22semidirect
121. #2543C22semidirect
122. #2543C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
126. #2541C22semidirect
127. #2541C22semidirect
128. #2541C22semidirect
129. #2539C22semidirect
130. #2536C22semidirect
132. #2532C22semidirect
133. #2526C22semidirect
134. #2524C22semidirect
135. #2515C22semidirect
136. #2513C22semidirect
137. #2512C22semidirect
138. #2492C22semidirect
139. #2491C22semidirect
140. #2472C22semidirect
141. #2472C22semidirect
142. #2468C22semidirect
143. #2464C22semidirect
144. #2464C22semidirect
145. #2464C22semidirect
146. #2459C22semidirect
147. #2459C22semidirect
149. #2457C22semidirect
150. #2456C22semidirect
151. #2456C22semidirect
152. #2456C22semidirect
153. #2452C22semidirect
154. #2452C22semidirect
155. #2450C22semidirect
156. #2450C22semidirect
157. #2448C22semidirect
158. #2447C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2444C22semidirect
162. #2443C22semidirect
163. #2435C22semidirect
165. #2433C22semidirect
166. #2433C22semidirect
167. #2433C22semidirect
168. #2433C22semidirect
169. #2433C22semidirect
170. #2431C22semidirect
171. #2431C22semidirect
172. #2431C22semidirect
173. #2431C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2427C22semidirect
178. #2426C22semidirect
179. #2424C22semidirect
180. #2424C22semidirect
181. #2424C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2422C22semidirect
186. #2420C22semidirect
187. #2418C22semidirect
188. #2416C22semidirect
189. #2414C22semidirect
190. #2411C22semidirect
191. #2410C22semidirect
192. #2410C22semidirect
193. #2410C22semidirect
194. #2410C22semidirect
195. #2410C22semidirect
198. #2407C22semidirect
199. #2405C22semidirect
200. #2404C22semidirect
201. #2404C22semidirect
202. #2404C22semidirect
203. #2404C22semidirect
204. #2403C22semidirect
205. #2403C22semidirect
206. #2402C22semidirect
207. #2398C22semidirect
208. #2397C22semidirect
209. #2396C22semidirect
211. #2388C22semidirect
212. C2×#394C22semidirect
214. #2380C22semidirect
215. #2380C22semidirect
216. #2372C22semidirect
217. #2366C22semidirect
218. #2366C22semidirect
219. #2366C22semidirect
220. #2366C22semidirect
221. #2363C22semidirect
222. #2363C22semidirect
223. #2361C22semidirect
224. #2361C22semidirect
225. #2358C22semidirect
226. #2358C22semidirect
227. #2358C22semidirect
228. #2357C22semidirect
229. #2356C22semidirect
230. #2349C22semidirect
231. #2349C22semidirect
232. D4×C22⋊C4C22semidirect
233. D4×C22⋊C4C22semidirect
234. D4×C22⋊C4C22semidirect
235. D4×C22⋊C4C22semidirect
236. D4×C22⋊C4C22semidirect
237. D4×C22⋊C4C22semidirect
240. #2328C22semidirect
241. #2328C22semidirect
242. #2328C22semidirect
243. #2328C22semidirect
244. #2328C22semidirect
245. #2328C22semidirect
246. #2328C22semidirect
247. #2326C22semidirect
248. #2326C22semidirect
249. #2321C22semidirect
250. #2317C22semidirect
251. #2308C22semidirect
252. #2308C22semidirect
254. C4×#127C22semidirect
255. C4×#126C22semidirect
256. C4×#124C22semidirect
257. C4×#124C22semidirect
258. C4×#123C22semidirect
259. #2297C22semidirect
260. #2295C22semidirect
261. C2×#390C22semidirect
262. #2290C22semidirect
263. #2283C22semidirect
264. #2283C22semidirect
265. C42×D4C22semidirect
266. C4×#117C22semidirect
851. #127#41semidirect

Maximal subgroups

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

subgroupindex
#590992
#590952
#499942
#499842
#480882
#480812
#451402
#450702
#450412
#449362
#442282
#441482
#430952
#429982
#400492
#397452
#396282
#394052
#379462
#376742
#372902
#361952
D4×#1272
#358442
#357412
#357282
#356912
#352932
#348792
#343642
#342752