Finite Group Databasebeta

← #7898318

Subgroups — #7898318

Order 512.

5967 conjugacy classes of subgroups.

The subgroup lattice has 1661 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59124C212yesmaximal, complemented
3#52267C211yesmaximal, characteristic, complemented
4#51023C214yesmaximal, complemented
5#48667C214yesmaximal, complemented
6#48109C214yesmaximal, complemented
7#46532C214yesmaximal, complemented
8#46089C212yesmaximal, complemented
9#44970C212yesmaximal, complemented
10#44957C212yesmaximal, complemented
11#44955C212yesmaximal, complemented
12#44433C214yesmaximal, complemented
13#42977C212yesmaximal, complemented
14#42529C212yesmaximal, complemented
15#41310C214yesmaximal, complemented
16#40033C212yesmaximal, complemented
17#39821C212yesmaximal, complemented
18#39739C211yesmaximal, characteristic, complemented
19#39355C211yesmaximal, characteristic, complemented
20#38822C212yesmaximal, complemented
21#38424C212yesmaximal, complemented
22#37674C212yesmaximal, complemented
23#37217C212yesmaximal, complemented
24#36419C211yesmaximal, characteristic, complemented
25#35808C212yesmaximal, complemented
26#35528C212yesmaximal, complemented
27#35197C211yesmaximal, characteristic, complemented
28#34478C212yesmaximal, complemented
29#34310C211yesmaximal, characteristic, complemented
30C2×#559C2212yescomplemented
31C2×#556C2211yescharacteristic, complemented
32C2×#555C2212yescomplemented
33C2×#550C2211yescharacteristic
34C2×#546C2212yes—
35C2×#546C2214yescomplemented
36C2×D42C2211yescharacteristic
37C2×#535C2212yes—
38C2×#535C2212yescomplemented
39C22×#127C2212yescomplemented
40C2×#518C2212yescomplemented
41#2858C2211yescharacteristic, complemented
42#2854C2212yescomplemented
43#2850C2212yescomplemented
44#2850C2212yescomplemented
45#2850C2212yescomplemented
46#2828C2214yescomplemented
47#2828C2214yescomplemented
48#2807C2212yescomplemented
49#2806C2211yescharacteristic, complemented
50#2805C2211yescharacteristic, complemented
51#2804C2211yescharacteristic
52#2802C2212yescomplemented
53#2801C2214yescomplemented
54#2790C2212yescomplemented
55#2788C2212yescomplemented
56#2780C2212yes—
57#2779C2214yescomplemented
58#2778C2214yescomplemented
59#2778C2214yescomplemented
60#2778C2214yescomplemented
61#2778C2214yescomplemented
62#2756C2214yescomplemented
63#2753C2214yescomplemented
64#2753C2214yescomplemented
65#2749C2214yescomplemented
66#2733C2212yescomplemented
67#2733C2212yescomplemented
68#2733C2212yescomplemented
69#2733C2212yescomplemented
70#2732C2211yescharacteristic
71#2730C2214yescomplemented
72#2729C2212yescomplemented
73#2708C2214yescomplemented
74#2703C2214yescomplemented
75#2703C2214yescomplemented
76#2699C2214yescomplemented
77#2691C2214yescomplemented
78#2688C2214yescomplemented
79#2685C2214yescomplemented
80#2685C2214yescomplemented
81#2682C2212yescomplemented
82#2682C2212yescomplemented
83#2682C2212yescomplemented
84#2682C2212yescomplemented
85#2679C2212yes—
86#2679C2212yes—
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2672C2214yescomplemented
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2670C2214yescomplemented
98#2670C2214yescomplemented
99#2669C2214yes—
100#2669C2214yes—
101#2668C2214yescomplemented
102#2661C2214yescomplemented
103#2661C2214yescomplemented
104#2661C2214yescomplemented
105#2657C2212yescomplemented
106#2649C2214yescomplemented
107#2648C2214yescomplemented
108#2635C2214yescomplemented
109#2630C2214yescomplemented
110#2620C2212yescomplemented
111#2619C2212yes—
112#2602C2214yescomplemented
113#2598C2214yescomplemented
114#2598C2214yescomplemented
115#2597C2214yescomplemented
116#2591C2214yescomplemented
117#2576C2214yescomplemented
118#2571C2211yescharacteristic, complemented
119#2568C2211yescharacteristic, complemented
120#2559C2214yescomplemented
121#2559C2214yescomplemented
122#2559C2214yescomplemented
123#2555C2214yescomplemented
124#2555C2214yescomplemented
125#2548C2212yescomplemented
126#2548C2211yescharacteristic, complemented
127#2548C2212yescomplemented
128#2548C2211yescharacteristic, complemented
129#2548C2212yescomplemented
130#2545C2212yescomplemented
131#2544C2212yescomplemented
132#2544C2212yescomplemented
133#2544C2212yescomplemented
134#2544C2212yescomplemented
135#2544C2212yescomplemented
136#2544C2212yescomplemented
137#2541C2211yescharacteristic
138#2541C2212yes—
139#2541C2212yescomplemented
140#2541C2212yescomplemented
141#2541C2212yescomplemented
142#2541C2212yescomplemented
143#2541C2212yescomplemented
144#2539C2214yescomplemented
145#2538C2211yescharacteristic, complemented
146#2537C2212yescomplemented
147#2534C2214yescomplemented
148#2518C2214yescomplemented
149#2514C2212yescomplemented
150#2513C2212yescomplemented
151#2513C2212yescomplemented
152#2500C2212yescomplemented
153#2476C2214yescomplemented
154#2476C2214yescomplemented
155#2472C2214yescomplemented
156#2472C2214yescomplemented
157#2470C2214yescomplemented
158#2464C2214yescomplemented
159#2464C2214yescomplemented
160#2461C2214yescomplemented
161#2457C2214yescomplemented
162#2457C2214yescomplemented
163#2456C2214yescomplemented
164#2456C2214yescomplemented
165#2448C2212yescomplemented
166#2448C2212yescomplemented
167#2447C2212yescomplemented
168#2445C2212yescomplemented
169#2445C2212yescomplemented
170#2445C2212yescomplemented
171#2445C2212yescomplemented
172#2443C2214yescomplemented
173#2435C2212yescomplemented
174#2433C2212yes—
175#2433C2212yescomplemented
176#2433C2212yescomplemented
177#2432C2212yescomplemented
178#2432C2212yescomplemented
179#2431C2212yes—
180#2431C2214yescomplemented
181#2428C2214yescomplemented
182#2428C2214yescomplemented
183#2428C2214yescomplemented
184#2428C2214yescomplemented
185#2428C2214yescomplemented
186#2427C2212yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2420C2212yescomplemented
191#2418C2214yescomplemented
192#2414C2214yescomplemented
193#2414C2214yescomplemented
194#2411C2214yescomplemented
195#2411C2214yescomplemented
196#2410C2214yescomplemented
197#2410C2214yescomplemented
198#2410C2214yescomplemented
199#2410C2214yescomplemented
200#2410C2214yescomplemented
201#2410C2214yescomplemented
202#2410C2214yescomplemented
203#2410C2214yescomplemented
204#2408C2214yescomplemented
205#2403C2214yes—
206#2403C2214yes—
207#2402C2212yescomplemented
208#2396C2212yescomplemented
209#2396C2212yescomplemented
210#2392C2214yescomplemented
211#2377C2214yescomplemented
212#2375C2214yes—
213#2374C2214yescomplemented
214#2367C2212yescomplemented
215#2367C2212yescomplemented
216#2367C2212yescomplemented
217#2366C2211yescharacteristic, complemented
218#2366C2212yescomplemented
219#2363C2212yescomplemented
220#2363C2212yescomplemented
221#2362C2212yescomplemented
222#2361C2212yescomplemented
223#2358C2214yescomplemented
224#2354C2211yescharacteristic
225#2354C2212yescomplemented
226#2354C2212yescomplemented
227D4×C4⋊C4C2211yescharacteristic, complemented
228#2342C2214yescomplemented
229#2341C2212yescomplemented
230D4×C22⋊C4C2212yes—
231D4×C22⋊C4C2212yescomplemented
232D4×C22⋊C4C2212yescomplemented
233#2337C2214yescomplemented
234#2335C2214yescomplemented
235#2328C2212yescomplemented
236#2326C2212yescomplemented
237#2324C2212yescomplemented
238#2324C2214yescomplemented
239#2323C2212yescomplemented
240#2321C2214yes—
241#2321C2214yescomplemented
242#2319C2212yescomplemented
243#2312C2214yescomplemented
244#2309C2212yescomplemented
245C4×C4⋊Q8C2211yescharacteristic, complemented
246C4×#127C2211yescharacteristic, complemented
247C4×#127C2211yescharacteristic, complemented
248C4×C22⋊Q8C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251#2297C2212yescomplemented
252#2297C2212yescomplemented
253#2296C2212yescomplemented
254#2295C2211yescharacteristic, complemented
255#2293C2211yescharacteristic
256C2×#390C2212yes—
257#2290C2212yes—
258C42×D4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2314yes—
266#559—48no—
267#556—44no—
268#555—48no—
269#550—44no—
270#546—216no—
271#546—416no—
272D42—28no—
273#535—48no—
274#535—48no—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277C2×#127—48no—
278C2×#127C2311yescharacteristic
279C2×#127C2311yescharacteristic
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2314yes—
286C2×#127C2314yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#126C2314yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349#518—48no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2314yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#398C2312yes—
404#398C2312yes—
405#398C2312yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2312yes—
425#396C2312yes—
426#396C2312yes—
427#396C2312yes—
428#395C2312yes—
429#395C2312yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
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#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#393C2312yes—
467#393C2312yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
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#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
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#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#383C2314yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#381C2314yes—
675#381C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2312yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2414yes—
725C2×#41—28no—
726C2×#41—28no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—82no—
731C22×Q8C2412yes—
732C22×Q8C2411yescharacteristic
733C22×Q8C2411yescharacteristic
734C22×Q8C2411yescharacteristic
735C22×D4—28no—
736C22×D4—28no—
737C22×D4—28no—
738C22×D4—28no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—48no—
743C22×D4—48no—
744C22×D4—48no—
745C22×D4—82no—
746C22×D4—82no—
747C22×D4—84no—
748C22×D4—84no—
749C22×D4—84no—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2411yescharacteristic
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C4⋊Q8—24no—
794C4⋊Q8—42no—
795#127—28no—
796#127—28no—
797#127—24no—
798#127—24no—
799#127—44no—
800#127—44no—
801#127—44no—
802#127—44no—
803#127—42no—
804#127—44no—
805#127—48no—
806#127—48no—
807#126—48no—
808#124—216no—
809#124—28no—
810#124—28no—
811#124—28no—
812#124—44no—
813#124—44no—
814#124—44no—
815#124—48no—
816#124—48no—
817#124—82no—
818#124—82no—
819#123—216no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—84no—
825#123—84no—
826C22⋊Q8—28no—
827C22⋊Q8—28no—
828C22⋊Q8—44no—
829C22⋊Q8—82no—
830#121—28no—
831#121—28no—
832#121—28no—
833#121—216no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—44no—
845#121—84no—
846#121—84no—
847#121—84no—
848#121—82no—
849#121—82no—
850#121—84no—
851#121—84no—
852#121—84no—
853#121—84no—
854#120—216no—
855#120—216no—
856#120—48no—
857#120—48no—
858#120—48no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—84no—
863#120—84no—
864#120—84no—
865#120—84no—
866C4×Q8—24no—
867C4×Q8—42no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×D4—24no—
872C4×D4—24no—
873C4×D4—28no—
874C4×D4—24no—
875C4×D4—28no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—48no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—48no—
884C4×D4—48no—
885C4×D4—48no—
886C4×D4—48no—
887C4×D4—82no—
888C4×D4—82no—
889C4×D4—82no—
890C4×D4#4118yescomplemented
891#117—28no—
892#117—44no—
893#117—48no—
894#117—48no—
895#117—44no—
896#117—44no—
897C2×C4⋊C4—82no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C22⋊C4—216no—
945C2×C22⋊C4—48no—
946C2×C22⋊C4—48no—
947C2×C22⋊C4—48no—
948C2×C22⋊C4—48no—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C42—44no—
1017C2×C42—82no—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085C24—28no—
1086C24—28no—
1087C24—28no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24C2514yes—
1100C24C2514yes—
1101C24C2514yes—
1102C24C2512yes—
1103C24C2512yes—
1104#41—816no—
1105#41—816no—
1106C2×Q8—24no—
1107C2×Q8—24no—
1108C2×Q8—24no—
1109C2×Q8—22no—
1110C2×Q8—22no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×Q8—41no—
1114C2×Q8—41no—
1115C2×Q8—41no—
1116C2×Q8—41no—
1117C2×Q8H(5,𝔽2)14yes—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—22no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—22no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—432no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—816no—
1208C2×D4—816no—
1209C2×D4—832no—
1210C2×D4—832no—
1211C2×D4C2×#4114yes—
1212C2×D4H(5,𝔽2)14yes—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
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—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4C2×#4118yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—41no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4C2×#4114yes—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4C2×#4118yes—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—28no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—42no—
1398C42—42no—
1399C42—41no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42—41no—
1408C42—41no—
1409C42C2×#4114yes—
1410C42H(5,𝔽2)14yes—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23—24no—
1425C23—24no—
1426C23—24no—
1427C23—24no—
1428C23—24no—
1429C23—24no—
1430C23—24no—
1431C23—24no—
1432C23—24no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—24no—
1443C23—24no—
1444C23—416no—
1445C23—88no—
1446C23—88no—
1447C23—88no—
1448C23—88no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—164no—
1455C23—164no—
1456C23—164no—
1457C23—164no—
1458C23C22×#4114yes—
1459C23C2×H(5,𝔽2)14yes—
1460C23C2611yescharacteristic
1461Q8—44no—
1462Q8—48no—
1463Q8—82no—
1464Q8—82no—
1465D4—28no—
1466D4—44no—
1467D4—416no—
1468D4—416no—
1469D4—48no—
1470D4—48no—
1471D4—48no—
1472D4—48no—
1473D4—84no—
1474D4—84no—
1475D4—84no—
1476D4—88no—
1477D4—88no—
1478D4—84no—
1479D4—88no—
1480D4—88no—
1481D4—88no—
1482D4—88no—
1483D4—88no—
1484D4—88no—
1485D4—88no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489D4—164no—
1490D4—162no—
1491D4—164no—
1492D4—164no—
1493D4—164no—
1494D4—164no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—216no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—48no—
1562C2×C4—88no—
1563C2×C4—84no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—164no—
1568C2×C4—164no—
1569C2×C4—164no—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4114yes—
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×C4C2×H(5,𝔽2)12yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C22—24no—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—44no—
1596C22—44no—
1597C22—44no—
1598C22—44no—
1599C22—44no—
1600C22—44no—
1601C22—44no—
1602C22—44no—
1603C22—44no—
1604C22—44no—
1605C22—44no—
1606C22—44no—
1607C22—44no—
1608C22—44no—
1609C22—44no—
1610C22—44no—
1611C22—44no—
1612C22—44no—
1613C22—44no—
1614C22—44no—
1615C22—1616no—
1616C22—1616no—
1617C22C23×#4111yescharacteristic
1618C22C22×H(5,𝔽2)11yescharacteristic
1619C22C22×H(5,𝔽2)11yescharacteristic
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22H(7,𝔽2)11yescharacteristic
1622C22H(7,𝔽2)11yescharacteristic
1623C22H(7,𝔽2)11yescharacteristic
1624C4—22no—
1625C4—24no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—24no—
1630C4—22no—
1631C4—44no—
1632C4—44no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4#351914yes—
1648C2—44no—
1649C2—44no—
1650C2—84no—
1651C2—84no—
1652C2—84no—
1653C2C2×#351911yescharacteristic
1654C2#6285511yescharacteristic
1655C2#6288011yescharacteristic
1656C2#6289211yescharacteristic
1657C2#6291611yescharacteristic
1658C2#6298611yescharacteristic
1659C2#6304511yescharacteristic
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. #59822C2semidirect
2. #59124C2semidirect
3. #52267C2semidirect
4. #51023C2semidirect
5. #48667C2semidirect
6. #48109C2semidirect
7. #46532C2semidirect
8. #46089C2semidirect
9. #44970C2semidirect
10. #44957C2semidirect
11. #44955C2semidirect
12. #44433C2semidirect
13. #42977C2semidirect
14. #42529C2semidirect
15. #41310C2semidirect
16. #40033C2semidirect
17. #39821C2semidirect
18. #39739C2semidirect
19. #39355C2semidirect
20. #38822C2semidirect
21. #38424C2semidirect
22. #37674C2semidirect
23. #37217C2semidirect
24. #36419C2semidirect
25. #35808C2semidirect
26. #35528C2semidirect
27. #35197C2semidirect
28. #34478C2semidirect
29. #34310C2semidirect
30. C2×#559C22semidirect
31. C2×#556C22semidirect
32. C2×#555C22semidirect
35. C2×#546C22semidirect
38. C2×#535C22semidirect
39. C22×#127C22semidirect
40. C2×#518C22semidirect
41. #2858C22semidirect
42. #2854C22semidirect
43. #2850C22semidirect
44. #2850C22semidirect
45. #2850C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2807C22semidirect
49. #2806C22semidirect
50. #2805C22semidirect
52. #2802C22semidirect
53. #2801C22semidirect
54. #2790C22semidirect
55. #2788C22semidirect
57. #2779C22semidirect
58. #2778C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2778C22semidirect
62. #2756C22semidirect
63. #2753C22semidirect
64. #2753C22semidirect
65. #2749C22semidirect
66. #2733C22semidirect
67. #2733C22semidirect
68. #2733C22semidirect
69. #2733C22semidirect
71. #2730C22semidirect
72. #2729C22semidirect
73. #2708C22semidirect
74. #2703C22semidirect
75. #2703C22semidirect
76. #2699C22semidirect
77. #2691C22semidirect
78. #2688C22semidirect
79. #2685C22semidirect
80. #2685C22semidirect
81. #2682C22semidirect
82. #2682C22semidirect
83. #2682C22semidirect
84. #2682C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2672C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
101. #2668C22semidirect
102. #2661C22semidirect
103. #2661C22semidirect
104. #2661C22semidirect
105. #2657C22semidirect
106. #2649C22semidirect
107. #2648C22semidirect
108. #2635C22semidirect
109. #2630C22semidirect
110. #2620C22semidirect
112. #2602C22semidirect
113. #2598C22semidirect
114. #2598C22semidirect
115. #2597C22semidirect
116. #2591C22semidirect
117. #2576C22semidirect
118. #2571C22semidirect
119. #2568C22semidirect
120. #2559C22semidirect
121. #2559C22semidirect
122. #2559C22semidirect
123. #2555C22semidirect
124. #2555C22semidirect
125. #2548C22semidirect
126. #2548C22semidirect
127. #2548C22semidirect
128. #2548C22semidirect
129. #2548C22semidirect
130. #2545C22semidirect
131. #2544C22semidirect
132. #2544C22semidirect
133. #2544C22semidirect
134. #2544C22semidirect
135. #2544C22semidirect
136. #2544C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2539C22semidirect
145. #2538C22semidirect
146. #2537C22semidirect
147. #2534C22semidirect
148. #2518C22semidirect
149. #2514C22semidirect
150. #2513C22semidirect
151. #2513C22semidirect
152. #2500C22semidirect
153. #2476C22semidirect
154. #2476C22semidirect
155. #2472C22semidirect
156. #2472C22semidirect
157. #2470C22semidirect
158. #2464C22semidirect
159. #2464C22semidirect
160. #2461C22semidirect
161. #2457C22semidirect
162. #2457C22semidirect
163. #2456C22semidirect
164. #2456C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
168. #2445C22semidirect
169. #2445C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
172. #2443C22semidirect
173. #2435C22semidirect
175. #2433C22semidirect
176. #2433C22semidirect
177. #2432C22semidirect
178. #2432C22semidirect
180. #2431C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2427C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2420C22semidirect
191. #2418C22semidirect
192. #2414C22semidirect
193. #2414C22semidirect
194. #2411C22semidirect
195. #2411C22semidirect
196. #2410C22semidirect
197. #2410C22semidirect
198. #2410C22semidirect
199. #2410C22semidirect
200. #2410C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
204. #2408C22semidirect
207. #2402C22semidirect
208. #2396C22semidirect
209. #2396C22semidirect
210. #2392C22semidirect
211. #2377C22semidirect
213. #2374C22semidirect
214. #2367C22semidirect
215. #2367C22semidirect
216. #2367C22semidirect
217. #2366C22semidirect
218. #2366C22semidirect
219. #2363C22semidirect
220. #2363C22semidirect
221. #2362C22semidirect
222. #2361C22semidirect
223. #2358C22semidirect
225. #2354C22semidirect
226. #2354C22semidirect
227. D4×C4⋊C4C22semidirect
228. #2342C22semidirect
229. #2341C22semidirect
231. D4×C22⋊C4C22semidirect
232. D4×C22⋊C4C22semidirect
233. #2337C22semidirect
234. #2335C22semidirect
235. #2328C22semidirect
236. #2326C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2323C22semidirect
241. #2321C22semidirect
242. #2319C22semidirect
243. #2312C22semidirect
244. #2309C22semidirect
245. C4×C4⋊Q8C22semidirect
246. C4×#127C22semidirect
247. C4×#127C22semidirect
248. C4×C22⋊Q8C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. #2297C22semidirect
252. #2297C22semidirect
253. #2296C22semidirect
254. #2295C22semidirect
258. C42×D4C22semidirect
890. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598222
#591242
#522672
#510232
#486672
#481092
#465322
#460892
#449702
#449572
#449552
#444332
#429772
#425292
#413102
#400332
#398212
#397392
#393552
#388222
#384242
#376742
#372172
#364192
#358082
#355282
#351972
#344782
#343102