Finite Group Databasebeta

← #7727019

Subgroups — #7727019

Order 512.

6950 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3546C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#49569C214yesmaximal, complemented
4#47858C214yesmaximal, complemented
5#46427C212yesmaximal, complemented
6#46424C212yesmaximal, complemented
7#46359C212yesmaximal, complemented
8#46358C212yesmaximal, complemented
9#45243C212yesmaximal, complemented
10#45242C212yesmaximal, complemented
11#44881C212yesmaximal, complemented
12#44880C212yesmaximal, complemented
13#39885C212yesmaximal, complemented
14#39861C212yesmaximal, complemented
15#39846C214yesmaximal, complemented
16#39419C212yesmaximal, complemented
17#39419C212yesmaximal, complemented
18#39377C212yesmaximal, complemented
19#39374C212yesmaximal, complemented
20#38362C214yesmaximal, complemented
21#37560C211yesmaximal, characteristic, complemented
22#36973C214yesmaximal, complemented
23#36433C212yesmaximal, complemented
24#36216C212yesmaximal, complemented
25#35465C214yesmaximal, complemented
26#35301C211yesmaximal, characteristic, complemented
27#35298C211yesmaximal, characteristic, complemented
28#34877C211yesmaximal, characteristic, complemented
29#34232C211yesmaximal, characteristic, complemented
30#3546—216no—
31C2×#560C2214yes—
32C2×#556C2211yescharacteristic, complemented
33C2×#553C2212yescomplemented
34C2×#550C2212yes—
35C2×#550C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic, complemented
37C2×#546C2212yes—
38C2×#546C2212yescomplemented
39C2×D42C2211yescharacteristic, complemented
40#3455—216no—
41C2×#542C2212yescomplemented
42C2×#542C2212yescomplemented
43C2×#542C2212yescomplemented
44C2×#541C2212yescomplemented
45C2×#540C2212yes—
46C2×#539C2212yescomplemented
47C2×#539C2212yescomplemented
48C2×#538C2214yescomplemented
49C2×#538C2212yescomplemented
50C2×#538C2212yescomplemented
51C2×#537C2212yes—
52C2×#535C2212yes—
53C2×#535C2212yescomplemented
54C2×#533C2211yescharacteristic, complemented
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2214yescomplemented
59C2×#529C2214yescomplemented
60C2×#525C2212yescomplemented
61C2×C4×#41C2212yescomplemented
62C22×#117C2211yescharacteristic, complemented
63#2868C2211yescharacteristic, complemented
64#2862C2211yescharacteristic, complemented
65#2858C2211yescharacteristic, complemented
66#2858C2211yescharacteristic, complemented
67#2854C2211yescharacteristic
68#2854C2211yescharacteristic, complemented
69#2854C2214yescomplemented
70#2853C2214yescomplemented
71#2847C2211yescharacteristic
72#2847C2211yescharacteristic, complemented
73#2817C2212yescomplemented
74#2816C2212yes—
75#2727C2214yescomplemented
76#2725C2214yescomplemented
77#2723C2214yescomplemented
78#2720C2214yescomplemented
79#2718C2214yescomplemented
80#2718C2214yescomplemented
81#2714C2214yes—
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2710C2214yescomplemented
85#2709C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2708C2214yescomplemented
89#2707C2214yescomplemented
90#2705C2214yescomplemented
91#2703C2214yescomplemented
92#2703C2214yescomplemented
93#2701C2214yescomplemented
94#2701C2214yescomplemented
95#2697C2214yescomplemented
96#2697C2214yescomplemented
97#2689C2214yescomplemented
98#2689C2214yescomplemented
99#2688C2214yes—
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2682C2214yescomplemented
103#2679C2214yescomplemented
104#2678C2214yes—
105#2678C2214yescomplemented
106#2674C2214yescomplemented
107#2674C2214yescomplemented
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2669C2214yescomplemented
114#2668C2214yescomplemented
115#2663C2214yescomplemented
116#2635C2214yescomplemented
117#2634C2212yescomplemented
118#2632C2212yescomplemented
119#2630C2214yescomplemented
120#2628C2212yescomplemented
121#2628C2212yescomplemented
122#2628C2212yescomplemented
123#2620C2214yescomplemented
124#2619C2212yes—
125#2611C2212yescomplemented
126#2610C2212yes—
127#2610C2214yescomplemented
128#2604C2214yescomplemented
129#2602C2214yescomplemented
130#2601C2212yescomplemented
131#2601C2212yescomplemented
132#2600C2214yescomplemented
133#2598C2214yescomplemented
134#2591C2211yescharacteristic
135#2591C2212yescomplemented
136#2584C2212yescomplemented
137#2583C2211yescharacteristic, complemented
138#2566C2212yescomplemented
139#2566C2212yescomplemented
140#2562C2212yescomplemented
141#2561C2211yescharacteristic, complemented
142#2559C2214yescomplemented
143#2559C2214yescomplemented
144#2558C2214yescomplemented
145#2555C2214yescomplemented
146#2555C2214yescomplemented
147#2554C2214yescomplemented
148#2545C2212yescomplemented
149#2545C2212yescomplemented
150#2543C2214yescomplemented
151#2539C2211yescharacteristic
152#2539C2214yescomplemented
153#2539C2212yescomplemented
154#2539C2214yescomplemented
155#2538C2212yescomplemented
156#2537C2212yes—
157#2536C2212yescomplemented
158#2535C2212yes—
159#2534C2214yescomplemented
160#2534C2214yescomplemented
161#2521C2214yescomplemented
162#2521C2214yescomplemented
163#2519C2214yescomplemented
164#2512C2214yescomplemented
165#2501C2214yescomplemented
166#2500C2212yes—
167#2500C2214yescomplemented
168#2500C2212yescomplemented
169#2498C2214yescomplemented
170#2496C2214yescomplemented
171#2491C2214yescomplemented
172#2488C2214yescomplemented
173#2488C2214yescomplemented
174#2485C2214yescomplemented
175#2485C2212yescomplemented
176#2485C2212yescomplemented
177#2482C2214yescomplemented
178#2481C2214yescomplemented
179#2479C2214yescomplemented
180#2475C2214yescomplemented
181#2473C2214yescomplemented
182#2472C2214yescomplemented
183#2472C2214yescomplemented
184#2448C2212yescomplemented
185#2448C2212yescomplemented
186#2445C2214yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2214yescomplemented
190#2444C2214yescomplemented
191#2443C2214yescomplemented
192#2440C2214yescomplemented
193#2432C2212yescomplemented
194#2432C2212yescomplemented
195#2430C2214yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2426C2212yes—
199#2426C2212yes—
200#2425C2214yescomplemented
201#2424C2214yes—
202#2423C2212yescomplemented
203#2423C2212yescomplemented
204#2422C2214yescomplemented
205#2422C2212yescomplemented
206#2422C2212yescomplemented
207#2421C2212yescomplemented
208#2421C2212yescomplemented
209#2420C2212yescomplemented
210#2420C2212yescomplemented
211#2420C2214yescomplemented
212#2418C2214yescomplemented
213#2418C2214yescomplemented
214#2416C2214yescomplemented
215#2413C2212yescomplemented
216#2411C2212yescomplemented
217#2410C2214yes—
218#2408C2212yes—
219#2408C2212yes—
220#2407C2212yescomplemented
221#2407C2212yescomplemented
222#2406C2212yescomplemented
223#2406C2214yescomplemented
224#2405C2214yescomplemented
225#2404C2212yescomplemented
226#2396C2212yescomplemented
227#2392C2212yes—
228#2366C2212yescomplemented
229#2365C2212yescomplemented
230#2363C2214yescomplemented
231#2353C2214yescomplemented
232#2351C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234#2349C2212yescomplemented
235D4×C4⋊C4C2212yescomplemented
236#2341C2212yescomplemented
237#2341C2212yescomplemented
238#2341C2212yescomplemented
239#2339C2212yescomplemented
240D4×C22⋊C4C2212yescomplemented
241D4×C22⋊C4C2212yescomplemented
242#2333C2212yescomplemented
243#2333C2212yescomplemented
244#2326C2214yescomplemented
245#2325C2214yescomplemented
246#2324C2212yes—
247#2324C2212yescomplemented
248#2321C2214yescomplemented
249#2319C2212yescomplemented
250C4×#124C2212yescomplemented
251C4×#124C2212yescomplemented
252C4×#123C2212yescomplemented
253C4×#123C2214yescomplemented
254C4×#120C2212yescomplemented
255#2293C2212yescomplemented
256#2293C2212yescomplemented
257C2×#388C2214yescomplemented
258#2283C2211yescharacteristic, complemented
259#2275C2212yescomplemented
260C4×#117C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C22×#41C2312yes—
265C23×D4C2312yes—
266C23×D4C2312yes—
267C24×C4C2311yescharacteristic
268#560—232no—
269#556—28no—
270#553—216no—
271#550—216no—
272#550—28no—
273#547—28no—
274#546—216no—
275#546—216no—
276D42—28no—
277#542—216no—
278#542—216no—
279#542—216no—
280#541—216no—
281#540—216no—
282#539—216no—
283#539—216no—
284#538—216no—
285#538—216no—
286#538—232no—
287#537—216no—
288#535—216no—
289#535—216no—
290#533—28no—
291#532—28no—
292#532D4116yescomplemented
293C2×C4⋊Q8C2311yescharacteristic
294C2×C4⋊Q8C2311yescharacteristic
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2312yes—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2311yescharacteristic
299C2×#127C2311yescharacteristic
300C2×#127C2314yes—
301C2×#127C2312yes—
302C2×#127C2311yescharacteristic
303#529—232no—
304#529—232no—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327#525—216no—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2312yes—
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2314yes—
389C4×#41—216no—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×#117—28no—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2314yes—
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2314yes—
437C22×C42C2314yes—
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440#400C2314yes—
441#400C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#395C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#393C2314yes—
523#393C2312yes—
524#393C2314yes—
525#393C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#386C2312yes—
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#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
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#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#384C2312yes—
683#384C2312yes—
684#384C2314yes—
685#384C2314yes—
686#383C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#381C2312yes—
692#381C2312yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#379C2312yes—
711#379C2314yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C22⋊C4C2311yescharacteristic
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2311yescharacteristic
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2312yes—
740#376C2312yes—
741C2×#95C2314yes—
742C2×#95C2314yes—
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C25C2414yes—
746C25C2411yescharacteristic
747C2×#41—28no—
748C2×#41—28no—
749C2×#41—28no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—82no—
755C2×#41—82no—
756C2×#41—82no—
757C2×#41—82no—
758C2×#41C2×D4116yes—
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2411yescharacteristic
763C22×Q8C2412yes—
764C22×D4—28no—
765C22×D4—28no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—82no—
769C22×D4—82no—
770C22×D4C2411yescharacteristic
771C22×D4C2411yescharacteristic
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C23×C4—24no—
794C23×C4—44no—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2411yescharacteristic
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2414yes—
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2414yes—
813C4⋊Q8—24no—
814C4⋊Q8—24no—
815C4⋊Q8—24no—
816C4⋊Q8—82no—
817C4⋊Q8—82no—
818C4⋊Q8C2×D418yes—
819#127—28no—
820#127—216no—
821#127—24no—
822#127C2×D418yes—
823#126—216no—
824#126—216no—
825#126—216no—
826#126—216no—
827#126—216no—
828#126—216no—
829#126—28no—
830#125—216no—
831#125—216no—
832#125—24no—
833#125—28no—
834#124—28no—
835#124—216no—
836#124—216no—
837#124—216no—
838#124—24no—
839#124—28no—
840#124—48no—
841#124—82no—
842#124—82no—
843#124C2×D4116yes—
844#123—216no—
845#123—216no—
846#123—216no—
847#123—28no—
848#123—216no—
849#123—216no—
850#123—216no—
851#123—216no—
852#123—216no—
853#123—44no—
854#123—48no—
855#123—82no—
856#123—82no—
857#123—84no—
858#123—84no—
859#123—84no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—24no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—216no—
868C22⋊Q8—216no—
869C22⋊Q8—216no—
870#121—28no—
871#121—28no—
872#121—216no—
873#121—216no—
874#121—28no—
875#121—28no—
876#121—216no—
877#121—216no—
878#121—216no—
879#121—28no—
880#121—24no—
881#121—24no—
882#121—24no—
883#121—28no—
884#121—216no—
885#121—28no—
886#121—216no—
887#121—216no—
888#121—48no—
889#121—44no—
890#121—44no—
891#121—84no—
892#121—84no—
893#121C2×D4116yes—
894#121C2×D4116yes—
895#120—216no—
896#120—216no—
897#120—216no—
898#120—216no—
899#120—216no—
900#120—48no—
901#120—44no—
902#120—82no—
903#120—82no—
904#120—84no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×D4—216no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—216no—
919C4×D4—216no—
920C4×D4—28no—
921C4×D4—216no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4C2×D4116yes—
932C4×D4C2×D4116yes—
933#117—28no—
934#117—216no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—28no—
939#117—28no—
940#117—28no—
941#117—44no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—84no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C22⋊C4—24no—
996C2×C22⋊C4—24no—
997C2×C22⋊C4—216no—
998C2×C22⋊C4—48no—
999C2×C22⋊C4—84no—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C42—24no—
1070C2×C42—216no—
1071C2×C42C2×D418yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135C24—22no—
1136C24—28no—
1137C24—42no—
1138C24—44no—
1139C24—42no—
1140C24—41no—
1141C24—41no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24C2512yes—
1148C24C2512yes—
1149C24C2512yes—
1150C24C2512yes—
1151C24C2511yescharacteristic
1152C24C2514yes—
1153#41—432no—
1154#41—816no—
1155#41—816no—
1156#41—816no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—41no—
1164C2×Q8—41no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8C22×D418yes—
1171C2×D4—24no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—44no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
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—816no—
1233C2×D4—816no—
1234C2×D4C22×D418yes—
1235C2×D4C22×D4116yes—
1236C2×D4C22×D418yes—
1237C2×D4C22×D418yes—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—416no—
1285C22×C4C22×D414yes—
1286C22×C4C22×D4116yes—
1287C22×C4C22×D414yes—
1288C22×C4C22×D414yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4C22×D418yes—
1360C4⋊C4C22×D418yes—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4C22×D4116yes—
1429C22⋊C4C22×D4116yes—
1430C42—24no—
1431C42—24no—
1432C42—28no—
1433C42—28no—
1434C42—28no—
1435C42—24no—
1436C42—28no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42C22×D414yes—
1449C42C22×D414yes—
1450C42C22×D414yes—
1451C42C22×D414yes—
1452C23—22no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—24no—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—24no—
1468C23—24no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—24no—
1475C23—22no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—44no—
1487C23—82no—
1488C23—82no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—84no—
1493C23—84no—
1494C23—88no—
1495C23—88no—
1496C23—164no—
1497C23—164no—
1498C23C23×D418yes—
1499C23C23×D412yes—
1500C23C2611yescharacteristic
1501Q8—216no—
1502Q8—44no—
1503Q8—84no—
1504Q8—84no—
1505Q8—84no—
1506D4—216no—
1507D4—48no—
1508D4—48no—
1509D4—416no—
1510D4—44no—
1511D4—44no—
1512D4—44no—
1513D4—84no—
1514D4—84no—
1515D4—88no—
1516D4—84no—
1517D4—88no—
1518D4—84no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—84no—
1524D4—84no—
1525D4—88no—
1526D4—84no—
1527D4—164no—
1528D4—164no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—28no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
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—24no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—44no—
1587C2×C4—416no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—48no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4—82no—
1598C2×C4—88no—
1599C2×C4—82no—
1600C2×C4—88no—
1601C2×C4—88no—
1602C2×C4—164no—
1603C2×C4C23×D412yes—
1604C2×C4C23×D418yes—
1605C2×C4C23×D412yes—
1606C2×C4C23×D412yes—
1607C2×C4C23×D412yes—
1608C2×C4C23×D412yes—
1609C2×C4C23×D412yes—
1610C2×C4#58514yes—
1611C2×C4#58514yes—
1612C22—22no—
1613C22—28no—
1614C22—22no—
1615C22—28no—
1616C22—22no—
1617C22—28no—
1618C22—42no—
1619C22—44no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—44no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—44no—
1646C22—42no—
1647C22—44no—
1648C22—88no—
1649C22—1616no—
1650C22C24×D411yescharacteristic
1651C22C2×#58512yes—
1652C22C2×#58512yes—
1653C22H(7,𝔽2)11yescharacteristic
1654C22H(7,𝔽2)11yescharacteristic
1655C4—22no—
1656C4—28no—
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—24no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—44no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4—44no—
1676C4—42no—
1677C4#348514yes—
1678C2—42no—
1679C2—48no—
1680C2—82no—
1681C2—82no—
1682C2—82no—
1683C2—82no—
1684C2C2×#348511yescharacteristic
1685C2#6281211yescharacteristic
1686C2#6285211yescharacteristic
1687C2#6293712yes—
1688C2#6297012yes—
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×#3546C2semidirect
2. C2×#3455C2semidirect
3. #49569C2semidirect
4. #47858C2semidirect
5. #46427C2semidirect
6. #46424C2semidirect
7. #46359C2semidirect
8. #46358C2semidirect
9. #45243C2semidirect
10. #45242C2semidirect
11. #44881C2semidirect
12. #44880C2semidirect
13. #39885C2semidirect
14. #39861C2semidirect
15. #39846C2semidirect
16. #39419C2semidirect
17. #39419C2semidirect
18. #39377C2semidirect
19. #39374C2semidirect
20. #38362C2semidirect
21. #37560C2semidirect
22. #36973C2semidirect
23. #36433C2semidirect
24. #36216C2semidirect
25. #35465C2semidirect
26. #35301C2semidirect
27. #35298C2semidirect
28. #34877C2semidirect
29. #34232C2semidirect
32. C2×#556C22semidirect
33. C2×#553C22semidirect
35. C2×#550C22semidirect
36. C2×#547C22semidirect
38. C2×#546C22semidirect
39. C2×D42C22semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
43. C2×#542C22semidirect
44. C2×#541C22semidirect
46. C2×#539C22semidirect
47. C2×#539C22semidirect
48. C2×#538C22semidirect
49. C2×#538C22semidirect
50. C2×#538C22semidirect
53. C2×#535C22semidirect
54. C2×#533C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
60. C2×#525C22semidirect
61. C2×C4×#41C22semidirect
62. C22×#117C22semidirect
63. #2868C22semidirect
64. #2862C22semidirect
65. #2858C22semidirect
66. #2858C22semidirect
68. #2854C22semidirect
69. #2854C22semidirect
70. #2853C22semidirect
72. #2847C22semidirect
73. #2817C22semidirect
75. #2727C22semidirect
76. #2725C22semidirect
77. #2723C22semidirect
78. #2720C22semidirect
79. #2718C22semidirect
80. #2718C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2710C22semidirect
85. #2709C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2708C22semidirect
89. #2707C22semidirect
90. #2705C22semidirect
91. #2703C22semidirect
92. #2703C22semidirect
93. #2701C22semidirect
94. #2701C22semidirect
95. #2697C22semidirect
96. #2697C22semidirect
97. #2689C22semidirect
98. #2689C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2682C22semidirect
103. #2679C22semidirect
105. #2678C22semidirect
106. #2674C22semidirect
107. #2674C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2671C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
113. #2669C22semidirect
114. #2668C22semidirect
115. #2663C22semidirect
116. #2635C22semidirect
117. #2634C22semidirect
118. #2632C22semidirect
119. #2630C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
122. #2628C22semidirect
123. #2620C22semidirect
125. #2611C22semidirect
127. #2610C22semidirect
128. #2604C22semidirect
129. #2602C22semidirect
130. #2601C22semidirect
131. #2601C22semidirect
132. #2600C22semidirect
133. #2598C22semidirect
135. #2591C22semidirect
136. #2584C22semidirect
137. #2583C22semidirect
138. #2566C22semidirect
139. #2566C22semidirect
140. #2562C22semidirect
141. #2561C22semidirect
142. #2559C22semidirect
143. #2559C22semidirect
144. #2558C22semidirect
145. #2555C22semidirect
146. #2555C22semidirect
147. #2554C22semidirect
148. #2545C22semidirect
149. #2545C22semidirect
150. #2543C22semidirect
152. #2539C22semidirect
153. #2539C22semidirect
154. #2539C22semidirect
155. #2538C22semidirect
157. #2536C22semidirect
159. #2534C22semidirect
160. #2534C22semidirect
161. #2521C22semidirect
162. #2521C22semidirect
163. #2519C22semidirect
164. #2512C22semidirect
165. #2501C22semidirect
167. #2500C22semidirect
168. #2500C22semidirect
169. #2498C22semidirect
170. #2496C22semidirect
171. #2491C22semidirect
172. #2488C22semidirect
173. #2488C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2485C22semidirect
177. #2482C22semidirect
178. #2481C22semidirect
179. #2479C22semidirect
180. #2475C22semidirect
181. #2473C22semidirect
182. #2472C22semidirect
183. #2472C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2445C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2444C22semidirect
191. #2443C22semidirect
192. #2440C22semidirect
193. #2432C22semidirect
194. #2432C22semidirect
195. #2430C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
200. #2425C22semidirect
202. #2423C22semidirect
203. #2423C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
207. #2421C22semidirect
208. #2421C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
212. #2418C22semidirect
213. #2418C22semidirect
214. #2416C22semidirect
215. #2413C22semidirect
216. #2411C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2406C22semidirect
223. #2406C22semidirect
224. #2405C22semidirect
225. #2404C22semidirect
226. #2396C22semidirect
228. #2366C22semidirect
229. #2365C22semidirect
230. #2363C22semidirect
231. #2353C22semidirect
232. #2351C22semidirect
233. Q8×C4⋊C4C22semidirect
234. #2349C22semidirect
235. D4×C4⋊C4C22semidirect
236. #2341C22semidirect
237. #2341C22semidirect
238. #2341C22semidirect
239. #2339C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2333C22semidirect
243. #2333C22semidirect
244. #2326C22semidirect
245. #2325C22semidirect
247. #2324C22semidirect
248. #2321C22semidirect
249. #2319C22semidirect
250. C4×#124C22semidirect
251. C4×#124C22semidirect
252. C4×#123C22semidirect
253. C4×#123C22semidirect
254. C4×#120C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect
257. C2×#388C22semidirect
258. #2283C22semidirect
259. #2275C22semidirect
260. C4×#117C22semidirect
292. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35462
C2×#34552
#495692
#478582
#464272
#464242
#463592
#463582
#452432
#452422
#448812
#448802
#398852
#398612
#398462
#394192
#393772
#393742
#383622
#375602
#369732
#364332
#362162
#354652
#353012
#352982
#348772
#342322