Finite Group Databasebeta

← #7650302

Subgroups — #7650302

Order 512.

7988 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C212yesmaximal, complemented
2#42971C211yesmaximal, characteristic, complemented
3#42952C211yesmaximal, characteristic, complemented
4#42480C212yesmaximal, complemented
5#42479C212yesmaximal, complemented
6#42475C211yesmaximal, characteristic, complemented
7#42475C211yesmaximal, characteristic, complemented
8#40528C214yesmaximal, complemented
9#40524C214yesmaximal, complemented
10#40506C214yesmaximal, complemented
11#40496C214yesmaximal, complemented
12#39958C212yesmaximal, complemented
13#39952C212yesmaximal, complemented
14#39868C214yesmaximal, complemented
15#39361C212yesmaximal, complemented
16#39358C212yesmaximal, complemented
17#39332C214yesmaximal, complemented
18#37658C214yesmaximal, complemented
19#37652C214yesmaximal, complemented
20#35567C212yesmaximal, complemented
21#35538C212yesmaximal, complemented
22#35524C212yesmaximal, complemented
23#35278C211yesmaximal, characteristic, complemented
24#35226C212yesmaximal, complemented
25#34880C211yesmaximal, characteristic, complemented
26#34681C212yesmaximal, complemented
27#34255C211yesmaximal, characteristic, complemented
28#3519—232no—
29C2×#555C2212yescomplemented
30C2×#554C2212yescomplemented
31C2×#553C2212yes—
32C2×#553C2212yescomplemented
33C2×#553C2214yescomplemented
34C2×#550C2212yes—
35C2×#546C2214yescomplemented
36C2×#546C2214yescomplemented
37C2×#546C2214yescomplemented
38C2×D42C2212yes—
39C2×D42C2212yes—
40C2×D42C2212yescomplemented
41C2×#540C2212yes—
42C2×#540C2212yescomplemented
43C2×#538C2214yescomplemented
44C2×#538C2214yescomplemented
45C2×#535C2214yescomplemented
46C2×#534C2214yescomplemented
47C2×#532C2212yes—
48C2×#529C2212yescomplemented
49C2×#525C2214yescomplemented
50C2×#525C2214yescomplemented
51C22×#121C2214yescomplemented
52C2×#518C2211yescharacteristic
53C2×#518C2212yescomplemented
54C22×C4×D4C2212yescomplemented
55#2867C2211yescharacteristic, complemented
56#2859C2211yescharacteristic, complemented
57#2856C2212yescomplemented
58#2849C2214yescomplemented
59#2847C2214yescomplemented
60#2823C2212yescomplemented
61#2819C2212yescomplemented
62#2816C2214yescomplemented
63#2813C2214yescomplemented
64#2812C2212yescomplemented
65#2812C2212yescomplemented
66#2712C2212yescomplemented
67#2699C2212yescomplemented
68#2699C2212yescomplemented
69#2698C2214yescomplemented
70#2693C2212yescomplemented
71#2689C2214yescomplemented
72#2685C2214yescomplemented
73#2685C2214yescomplemented
74#2682C2214yescomplemented
75#2681C2214yescomplemented
76#2681C2214yescomplemented
77#2681C2214yescomplemented
78#2679C2212yescomplemented
79#2679C2214yescomplemented
80#2679C2212yescomplemented
81#2678C2214yescomplemented
82#2678C2214yescomplemented
83#2678C2214yescomplemented
84#2678C2214yescomplemented
85#2676C2214yescomplemented
86#2676C2214yescomplemented
87#2675C2212yescomplemented
88#2675C2214yescomplemented
89#2675C2212yescomplemented
90#2672C2214yescomplemented
91#2672C2214yescomplemented
92#2672C2214yescomplemented
93#2672C2214yescomplemented
94#2671C2214yescomplemented
95#2671C2214yescomplemented
96#2669C2214yescomplemented
97#2669C2214yescomplemented
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2663C2214yescomplemented
103#2662C2214yescomplemented
104#2641C2212yescomplemented
105#2636C2214yescomplemented
106#2635C2214yescomplemented
107#2635C2214yescomplemented
108#2630C2214yescomplemented
109#2620C2214yescomplemented
110#2619C2214yescomplemented
111#2619C2211yescharacteristic, complemented
112#2619C2211yescharacteristic, complemented
113#2618C2214yescomplemented
114#2617C2214yescomplemented
115#2616C2214yescomplemented
116#2613C2214yescomplemented
117#2613C2214yescomplemented
118#2613C2214yescomplemented
119#2609C2212yescomplemented
120#2602C2214yescomplemented
121#2601C2214yescomplemented
122#2600C2214yescomplemented
123#2584C2212yescomplemented
124#2562C2212yescomplemented
125#2559C2214yescomplemented
126#2558C2214yescomplemented
127#2556C2212yescomplemented
128#2555C2212yescomplemented
129#2555C2214yescomplemented
130#2554C2212yescomplemented
131#2554C2214yescomplemented
132#2553C2212yescomplemented
133#2548C2212yescomplemented
134#2541C2212yescomplemented
135#2540C2214yescomplemented
136#2539C2214yescomplemented
137#2537C2212yescomplemented
138#2534C2214yescomplemented
139#2521C2212yescomplemented
140#2519C2212yescomplemented
141#2472C2214yescomplemented
142#2472C2214yescomplemented
143#2464C2212yescomplemented
144#2464C2214yescomplemented
145#2464C2214yescomplemented
146#2464C2214yescomplemented
147#2461C2212yescomplemented
148#2461C2214yescomplemented
149#2461C2214yescomplemented
150#2459C2214yescomplemented
151#2457C2214yescomplemented
152#2456C2214yescomplemented
153#2456C2214yescomplemented
154#2455C2214yescomplemented
155#2454C2212yescomplemented
156#2454C2212yescomplemented
157#2452C2212yescomplemented
158#2452C2212yescomplemented
159#2445C2214yescomplemented
160#2445C2214yescomplemented
161#2445C2214yescomplemented
162#2445C2212yescomplemented
163#2445C2212yescomplemented
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2442C2212yescomplemented
167#2441C2212yescomplemented
168#2440C2212yescomplemented
169#2439C2212yescomplemented
170#2433C2214yescomplemented
171#2433C2212yescomplemented
172#2433C2212yescomplemented
173#2433C2212yescomplemented
174#2433C2212yescomplemented
175#2431C2214yescomplemented
176#2428C2214yescomplemented
177#2428C2214yescomplemented
178#2428C2212yescomplemented
179#2428C2212yescomplemented
180#2428C2214yescomplemented
181#2428C2212yescomplemented
182#2428C2212yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2422C2212yescomplemented
188#2422C2212yescomplemented
189#2420C2212yescomplemented
190#2420C2212yescomplemented
191#2418C2214yescomplemented
192#2418C2214yescomplemented
193#2416C2212yescomplemented
194#2416C2212yescomplemented
195#2416C2212yescomplemented
196#2416C2212yescomplemented
197#2415C2214yescomplemented
198#2414C2212yescomplemented
199#2414C2212yescomplemented
200#2414C2212yescomplemented
201#2414C2214yescomplemented
202#2414C2212yescomplemented
203#2413C2214yescomplemented
204#2411C2214yescomplemented
205#2410C2214yescomplemented
206#2410C2214yescomplemented
207#2408C2214yescomplemented
208#2408C2212yescomplemented
209#2408C2212yescomplemented
210#2408C2212yescomplemented
211#2408C2212yescomplemented
212#2407C2214yescomplemented
213#2406C2214yescomplemented
214#2404C2214yescomplemented
215#2403C2212yescomplemented
216#2403C2212yescomplemented
217#2399C2211yescharacteristic, complemented
218#2397C2211yescharacteristic, complemented
219#2392C2211yescharacteristic, complemented
220#2392C2211yescharacteristic, complemented
221#2392C2214yescomplemented
222#2388C2214yescomplemented
223#2357C2214yescomplemented
224#2354C2214yescomplemented
225#2342C2214yescomplemented
226#2342C2214yescomplemented
227#2328C2211yescharacteristic, complemented
228#2328C2211yescharacteristic, complemented
229#2324C2214yescomplemented
230#2324C2212yescomplemented
231#2324C2212yescomplemented
232#2322C2214yescomplemented
233#2319C2212yescomplemented
234#2319C2212yescomplemented
235#2317C2211yescharacteristic, complemented
236#2309C2211yescharacteristic
237C4×#127C2212yescomplemented
238C4×#124C2212yescomplemented
239C4×#121C2212yescomplemented
240C4×#121C2212yescomplemented
241C4×#121C2212yescomplemented
242C4×#120C2214yescomplemented
243#2296C2211yescharacteristic, complemented
244#2293C2212yescomplemented
245#2293C2211yescharacteristic, complemented
246#2293C2212yescomplemented
247C2×#390C2211yescharacteristic
248#2290C2212yescomplemented
249#2274C2211yescharacteristic, complemented
250C42×D4C2211yescharacteristic, complemented
251C4×#117C2211yescharacteristic, complemented
252C22×#41C2314yes—
253C22×#41C2314yes—
254C23×D4C2312yes—
255C23×D4C2312yes—
256C23×D4C2314yes—
257C23×D4C2314yes—
258C23×D4C2314yes—
259C23×D4C2311yescharacteristic
260C24×C4C2314yes—
261#555—216no—
262#554—216no—
263#553—216no—
264#553—232no—
265#553—216no—
266#550—216no—
267#546—232no—
268#546—232no—
269#546—232no—
270D42—216no—
271D42—216no—
272D42—216no—
273#540—216no—
274#540—216no—
275#538—232no—
276#538—232no—
277#535—416no—
278#534—416no—
279#532—216no—
280C2×C4⋊Q8C2312yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2314yes—
288C2×#127C2314yes—
289C2×#127C2314yes—
290#529—216no—
291C2×#126C2314yes—
292C2×#126C2312yes—
293C2×#126C2312yes—
294C2×#126C2314yes—
295C2×#125C2312yes—
296C2×#125C2312yes—
297C2×#125C2312yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304#525—232no—
305#525—416no—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×#121—232no—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382#518—216no—
383#518D4116yescomplemented
384C2×C4×Q8C2312yes—
385C2×C4×D4—216no—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2314yes—
419C2×#117C2314yes—
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C22×C4⋊C4C2314yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2311yescharacteristic
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C42C2312yes—
431C22×C42C2311yescharacteristic
432#400C2314yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2312yes—
438#399C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2311yescharacteristic
442#398C2314yes—
443#398C2314yes—
444#398C2311yescharacteristic
445#398C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2311yescharacteristic
451#397C2311yescharacteristic
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#395C2314yes—
465#395C2312yes—
466#395C2314yes—
467#395C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2311yescharacteristic
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2311yescharacteristic
509#394C2314yes—
510#394C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2312yes—
519#392C2312yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2311yescharacteristic
540#392C2311yescharacteristic
541#392C2314yes—
542#392C2312yes—
543#392C2314yes—
544#391C2314yes—
545#391C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
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#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#384C2312yes—
665#384C2312yes—
666#382C2312yes—
667#382C2311yescharacteristic
668#382C2311yescharacteristic
669#382C2312yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#379C2312yes—
685#379C2312yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713#376C2311yescharacteristic
714#376C2311yescharacteristic
715C43C2311yescharacteristic
716C43C2311yescharacteristic
717C25C2414yes—
718C25C2414yes—
719C25C2412yes—
720C2×#41—216no—
721C2×#41—216no—
722C2×#41—48no—
723C2×#41—48no—
724C2×#41—84no—
725C2×#41—84no—
726C22×Q8C2412yes—
727C22×Q8C2414yes—
728C22×D4—216no—
729C22×D4—216no—
730C22×D4—28no—
731C22×D4—28no—
732C22×D4—216no—
733C22×D4—42no—
734C22×D4—42no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—48no—
740C22×D4—48no—
741C22×D4—48no—
742C22×D4—84no—
743C22×D4—84no—
744C22×D4—84no—
745C22×D4C2×D418yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2411yescharacteristic
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C23×C4—216no—
781C23×C4—48no—
782C23×C4—84no—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C4⋊Q8—28no—
800#127—28no—
801#127—28no—
802#127—28no—
803#127—44no—
804#127—42no—
805#127—42no—
806#127—48no—
807#127—48no—
808#127—84no—
809#126—28no—
810#126—28no—
811#126—216no—
812#126—216no—
813#125—28no—
814#125—28no—
815#125—28no—
816#124—28no—
817#124—216no—
818#124—216no—
819#124—28no—
820#124—216no—
821#124—48no—
822#123—216no—
823#123—216no—
824#123—216no—
825#123—28no—
826#123—216no—
827#123—216no—
828#123—28no—
829#123—216no—
830#123—216no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—84no—
836C22⋊Q8—216no—
837C22⋊Q8—28no—
838C22⋊Q8—216no—
839C22⋊Q8—216no—
840C22⋊Q8—48no—
841C22⋊Q8—48no—
842C22⋊Q8—84no—
843#121—216no—
844#121—28no—
845#121—216no—
846#121—28no—
847#121—216no—
848#121—216no—
849#121—28no—
850#121—28no—
851#121—216no—
852#121—28no—
853#121—28no—
854#121—28no—
855#121—216no—
856#121—216no—
857#121—216no—
858#121—216no—
859#121—216no—
860#121—216no—
861#121—216no—
862#121—216no—
863#121—216no—
864#121—216no—
865#121—28no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—48no—
877#121—84no—
878#121—84no—
879#120—216no—
880#120—216no—
881#120—216no—
882#120—216no—
883#120—216no—
884#120—216no—
885#120—216no—
886#120—48no—
887#120—48no—
888#120—48no—
889#120—48no—
890#120—48no—
891#120—48no—
892#120—48no—
893#120—48no—
894#120—84no—
895#120—84no—
896#120—84no—
897C4×Q8—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—216no—
901C4×D4—216no—
902C4×D4—216no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—216no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—216no—
909C4×D4—216no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—216no—
914C4×D4—28no—
915C4×D4—48no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—48no—
920C4×D4—48no—
921C4×D4—84no—
922C4×D4C2×D4116yes—
923C4×D4C2×D4132yes—
924C4×D4C2×D4116yes—
925#117—28no—
926#117—28no—
927#117—216no—
928#117—42no—
929#117—48no—
930#117—48no—
931#117—42no—
932#117C2×D418yes—
933#117C2×D418yes—
934C2×C4⋊C4—216no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C22⋊C4—216no—
978C2×C22⋊C4—216no—
979C2×C22⋊C4—216no—
980C2×C22⋊C4—48no—
981C2×C22⋊C4C2×D4132yes—
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⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C42—28no—
1055C2×C42—42no—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2414yes—
1084#95C2411yescharacteristic
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112C24—28no—
1113C24—28no—
1114C24—28no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—42no—
1120C24—42no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24—44no—
1130C24C22×D418yes—
1131C24C2512yes—
1132C24C2514yes—
1133C24C2514yes—
1134C24C2514yes—
1135C24C2511yescharacteristic
1136C24C2512yes—
1137#41—832no—
1138#41—832no—
1139C2×Q8—24no—
1140C2×Q8—28no—
1141C2×Q8—24no—
1142C2×Q8—42no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—24no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—416no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—41no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
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—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—432no—
1241C2×D4—432no—
1242C2×D4—832no—
1243C2×D4—832no—
1244C2×D4—832no—
1245C2×D4C22×D418yes—
1246C2×D4C22×D418yes—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—832no—
1292C22×C4C22×D414yes—
1293C22×C4C22×D4116yes—
1294C22×C4C22×D4116yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—42no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4C22×D418yes—
1355C4⋊C4C22×D418yes—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
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—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4C22×D4116yes—
1424C22⋊C4C22×D418yes—
1425C22⋊C4C22×D418yes—
1426C22⋊C4C22×D4116yes—
1427C22⋊C4H(5,𝔽2)18yes—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—28no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42C22×D414yes—
1446C42C22×D418yes—
1447C42C22×D414yes—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—24no—
1452C23—22no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—24no—
1459C23—22no—
1460C23—24no—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—24no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—48no—
1486C23—416no—
1487C23—416no—
1488C23—416no—
1489C23—416no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—162no—
1498C23—164no—
1499C23—162no—
1500C23—164no—
1501C23—164no—
1502C23—164no—
1503C23—164no—
1504C23C23×D412yes—
1505C23C23×D418yes—
1506C23C2×H(5,𝔽2)14yes—
1507C23C2611yescharacteristic
1508Q8—48no—
1509Q8—88no—
1510D4—216no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—416no—
1515D4—416no—
1516D4—44no—
1517D4—48no—
1518D4—416no—
1519D4—416no—
1520D4—416no—
1521D4—48no—
1522D4—48no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—84no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
1536D4—88no—
1537D4—82no—
1538D4—164no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—164no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—28no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—416no—
1596C2×C4—416no—
1597C2×C4—48no—
1598C2×C4—416no—
1599C2×C4—416no—
1600C2×C4—48no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—84no—
1604C2×C4—88no—
1605C2×C4—88no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—162no—
1610C2×C4C23×D414yes—
1611C2×C4C23×D418yes—
1612C2×C4C23×D412yes—
1613C2×C4C23×D414yes—
1614C2×C4C23×D412yes—
1615C2×C4C2×H(5,𝔽2)14yes—
1616C2×C4C2×H(5,𝔽2)14yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C22—28no—
1620C22—28no—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—22no—
1626C22—28no—
1627C22—42no—
1628C22—41no—
1629C22—44no—
1630C22—42no—
1631C22—44no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—44no—
1637C22—42no—
1638C22—44no—
1639C22—44no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—42no—
1647C22—42no—
1648C22—44no—
1649C22—44no—
1650C22—44no—
1651C22—44no—
1652C22—44no—
1653C22—44no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—44no—
1658C22—44no—
1659C22—832no—
1660C22—168no—
1661C22—1616no—
1662C22C24×D411yescharacteristic
1663C22C22×H(5,𝔽2)12yes—
1664C22C2×#58511yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22H(7,𝔽2)12yes—
1667C4—24no—
1668C4—24no—
1669C4—28no—
1670C4—24no—
1671C4—24no—
1672C4—22no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—42no—
1678C4—44no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—44no—
1685C4—42no—
1686C4—42no—
1687C4#344914yes—
1688C2—44no—
1689C2—48no—
1690C2—42no—
1691C2—84no—
1692C2—84no—
1693C2—82no—
1694C2C2×#344911yescharacteristic
1695C2#6283411yescharacteristic
1696C2#6288511yescharacteristic
1697C2#6292012yes—
1698C2D4×H(5,𝔽2)12yes—
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. C2×#3519C2semidirect
2. #42971C2semidirect
3. #42952C2semidirect
4. #42480C2semidirect
5. #42479C2semidirect
6. #42475C2semidirect
7. #42475C2semidirect
8. #40528C2semidirect
9. #40524C2semidirect
10. #40506C2semidirect
11. #40496C2semidirect
12. #39958C2semidirect
13. #39952C2semidirect
14. #39868C2semidirect
15. #39361C2semidirect
16. #39358C2semidirect
17. #39332C2semidirect
18. #37658C2semidirect
19. #37652C2semidirect
20. #35567C2semidirect
21. #35538C2semidirect
22. #35524C2semidirect
23. #35278C2semidirect
24. #35226C2semidirect
25. #34880C2semidirect
26. #34681C2semidirect
27. #34255C2semidirect
29. C2×#555C22semidirect
30. C2×#554C22semidirect
32. C2×#553C22semidirect
33. C2×#553C22semidirect
35. C2×#546C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
40. C2×D42C22semidirect
42. C2×#540C22semidirect
43. C2×#538C22semidirect
44. C2×#538C22semidirect
45. C2×#535C22semidirect
46. C2×#534C22semidirect
48. C2×#529C22semidirect
49. C2×#525C22semidirect
50. C2×#525C22semidirect
51. C22×#121C22semidirect
53. C2×#518C22semidirect
54. C22×C4×D4C22semidirect
55. #2867C22semidirect
56. #2859C22semidirect
57. #2856C22semidirect
58. #2849C22semidirect
59. #2847C22semidirect
60. #2823C22semidirect
61. #2819C22semidirect
62. #2816C22semidirect
63. #2813C22semidirect
64. #2812C22semidirect
65. #2812C22semidirect
66. #2712C22semidirect
67. #2699C22semidirect
68. #2699C22semidirect
69. #2698C22semidirect
70. #2693C22semidirect
71. #2689C22semidirect
72. #2685C22semidirect
73. #2685C22semidirect
74. #2682C22semidirect
75. #2681C22semidirect
76. #2681C22semidirect
77. #2681C22semidirect
78. #2679C22semidirect
79. #2679C22semidirect
80. #2679C22semidirect
81. #2678C22semidirect
82. #2678C22semidirect
83. #2678C22semidirect
84. #2678C22semidirect
85. #2676C22semidirect
86. #2676C22semidirect
87. #2675C22semidirect
88. #2675C22semidirect
89. #2675C22semidirect
90. #2672C22semidirect
91. #2672C22semidirect
92. #2672C22semidirect
93. #2672C22semidirect
94. #2671C22semidirect
95. #2671C22semidirect
96. #2669C22semidirect
97. #2669C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2663C22semidirect
103. #2662C22semidirect
104. #2641C22semidirect
105. #2636C22semidirect
106. #2635C22semidirect
107. #2635C22semidirect
108. #2630C22semidirect
109. #2620C22semidirect
110. #2619C22semidirect
111. #2619C22semidirect
112. #2619C22semidirect
113. #2618C22semidirect
114. #2617C22semidirect
115. #2616C22semidirect
116. #2613C22semidirect
117. #2613C22semidirect
118. #2613C22semidirect
119. #2609C22semidirect
120. #2602C22semidirect
121. #2601C22semidirect
122. #2600C22semidirect
123. #2584C22semidirect
124. #2562C22semidirect
125. #2559C22semidirect
126. #2558C22semidirect
127. #2556C22semidirect
128. #2555C22semidirect
129. #2555C22semidirect
130. #2554C22semidirect
131. #2554C22semidirect
132. #2553C22semidirect
133. #2548C22semidirect
134. #2541C22semidirect
135. #2540C22semidirect
136. #2539C22semidirect
137. #2537C22semidirect
138. #2534C22semidirect
139. #2521C22semidirect
140. #2519C22semidirect
141. #2472C22semidirect
142. #2472C22semidirect
143. #2464C22semidirect
144. #2464C22semidirect
145. #2464C22semidirect
146. #2464C22semidirect
147. #2461C22semidirect
148. #2461C22semidirect
149. #2461C22semidirect
150. #2459C22semidirect
151. #2457C22semidirect
152. #2456C22semidirect
153. #2456C22semidirect
154. #2455C22semidirect
155. #2454C22semidirect
156. #2454C22semidirect
157. #2452C22semidirect
158. #2452C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2445C22semidirect
162. #2445C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2442C22semidirect
167. #2441C22semidirect
168. #2440C22semidirect
169. #2439C22semidirect
170. #2433C22semidirect
171. #2433C22semidirect
172. #2433C22semidirect
173. #2433C22semidirect
174. #2433C22semidirect
175. #2431C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2422C22semidirect
188. #2422C22semidirect
189. #2420C22semidirect
190. #2420C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
193. #2416C22semidirect
194. #2416C22semidirect
195. #2416C22semidirect
196. #2416C22semidirect
197. #2415C22semidirect
198. #2414C22semidirect
199. #2414C22semidirect
200. #2414C22semidirect
201. #2414C22semidirect
202. #2414C22semidirect
203. #2413C22semidirect
204. #2411C22semidirect
205. #2410C22semidirect
206. #2410C22semidirect
207. #2408C22semidirect
208. #2408C22semidirect
209. #2408C22semidirect
210. #2408C22semidirect
211. #2408C22semidirect
212. #2407C22semidirect
213. #2406C22semidirect
214. #2404C22semidirect
215. #2403C22semidirect
216. #2403C22semidirect
217. #2399C22semidirect
218. #2397C22semidirect
219. #2392C22semidirect
220. #2392C22semidirect
221. #2392C22semidirect
222. #2388C22semidirect
223. #2357C22semidirect
224. #2354C22semidirect
225. #2342C22semidirect
226. #2342C22semidirect
227. #2328C22semidirect
228. #2328C22semidirect
229. #2324C22semidirect
230. #2324C22semidirect
231. #2324C22semidirect
232. #2322C22semidirect
233. #2319C22semidirect
234. #2319C22semidirect
235. #2317C22semidirect
237. C4×#127C22semidirect
238. C4×#124C22semidirect
239. C4×#121C22semidirect
240. C4×#121C22semidirect
241. C4×#121C22semidirect
242. C4×#120C22semidirect
243. #2296C22semidirect
244. #2293C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
248. #2290C22semidirect
249. #2274C22semidirect
250. C42×D4C22semidirect
251. C4×#117C22semidirect
383. #518D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
#429712
#429522
#424802
#424792
#424752
#405282
#405242
#405062
#404962
#399582
#399522
#398682
#393612
#393582
#393322
#376582
#376522
#355672
#355382
#355242
#352782
#352262
#348802
#346812
#342552