Finite Group Databasebeta

← #7732040

Subgroups — #7732040

Order 512.

6754 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic
3#50181C214yesmaximal, complemented
4#50178C214yesmaximal, complemented
5#47206C214yesmaximal, complemented
6#47203C214yesmaximal, complemented
7#43905C214yesmaximal, complemented
8#43018C214yesmaximal, complemented
9#39468C212yesmaximal, complemented
10#39463C212yesmaximal, complemented
11#38051C212yesmaximal, complemented
12#38043C212yesmaximal, complemented
13#37838C212yesmaximal, complemented
14#37837C212yesmaximal, complemented
15#37762C212yesmaximal, complemented
16#37747C212yesmaximal, complemented
17#37707C212yesmaximal, complemented
18#37689C212yesmaximal, complemented
19#37442C211yesmaximal, characteristic, complemented
20#37376C212yesmaximal, complemented
21#37281C212yesmaximal, complemented
22#36375C212yesmaximal, complemented
23#36275C212yesmaximal, complemented
24#35663C212yesmaximal, complemented
25#35517C212yesmaximal, complemented
26#35263C211yesmaximal, characteristic, complemented
27#35010C211yesmaximal, characteristic, complemented
28C2×#2485C211yesmaximal, characteristic, complemented
29#34360C211yesmaximal, characteristic, complemented
30#3495—216no—
31C2×#556C2212yescomplemented
32C2×#554C2212yes—
33C2×#552C2212yes—
34C2×#552C2214yescomplemented
35C2×#552C2212yescomplemented
36C2×#551C2214yes—
37#3460—216no—
38C2×#544C2211yescharacteristic
39C2×#544C2211yescharacteristic, complemented
40C2×#542C2212yes—
41C2×#542C2212yes—
42C2×#542C2212yescomplemented
43C2×#541C2212yescomplemented
44C2×#540C2212yes—
45C2×#540C2212yes—
46C2×#538C2212yes—
47C2×#538C2211yescharacteristic
48C2×#538C2211yescharacteristic
49C2×#537C2211yescharacteristic
50C2×#536C2211yescharacteristic, complemented
51C2×#535C2212yes—
52C2×#533C2212yes—
53C2×#532C2212yes—
54C2×#532C2212yes—
55C2×#529C2212yes—
56C2×#529C2212yes—
57C2×#529C2212yes—
58C2×#525C2211yescharacteristic
59C2×#525C2212yes—
60C2×#525C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62C2×#520C2211yescharacteristic, complemented
63C2×#519C2211yescharacteristic, complemented
64C2×C4×#41C2212yes—
65C22×C4×D4C2211yescharacteristic
66C22×#117C2211yescharacteristic
67#2857C2212yescomplemented
68#2855C2212yes—
69#2855C2212yes—
70#2855C2212yescomplemented
71#2855C2212yescomplemented
72#2854C2212yes—
73#2851C2212yescomplemented
74#2848C2212yes—
75#2814C2214yescomplemented
76#2734C2214yescomplemented
77#2731C2214yescomplemented
78#2726C2214yescomplemented
79#2725C2214yescomplemented
80#2722C2214yescomplemented
81#2721C2214yescomplemented
82#2718C2214yescomplemented
83#2717C2214yescomplemented
84#2717C2214yescomplemented
85#2715C2214yes—
86#2715C2214yescomplemented
87#2715C2214yescomplemented
88#2713C2214yescomplemented
89#2713C2214yescomplemented
90#2711C2214yescomplemented
91#2709C2214yes—
92#2709C2214yes—
93#2708C2214yescomplemented
94#2707C2214yescomplemented
95#2704C2214yescomplemented
96#2701C2214yes—
97#2701C2214yescomplemented
98#2700C2214yes—
99#2695C2214yescomplemented
100#2694C2214yescomplemented
101#2691C2214yes—
102#2691C2214yescomplemented
103#2691C2214yescomplemented
104#2690C2214yescomplemented
105#2690C2214yescomplemented
106#2689C2214yescomplemented
107#2689C2214yescomplemented
108#2687C2214yescomplemented
109#2686C2214yes—
110#2686C2214yescomplemented
111#2686C2214yescomplemented
112#2680C2214yescomplemented
113#2674C2214yescomplemented
114#2672C2214yes—
115#2672C2214yescomplemented
116#2659C2212yes—
117#2639C2212yes—
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2627C2212yes—
121#2627C2212yescomplemented
122#2626C2212yes—
123#2625C2212yescomplemented
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2618C2212yescomplemented
127#2616C2212yescomplemented
128#2616C2212yescomplemented
129#2616C2212yescomplemented
130#2584C2212yescomplemented
131#2582C2212yescomplemented
132#2581C2212yescomplemented
133#2579C2214yes—
134#2567C2212yescomplemented
135#2564C2214yes—
136#2562C2212yescomplemented
137#2559C2214yes—
138#2549C2214yes—
139#2547C2212yescomplemented
140#2544C2214yes—
141#2538C2212yescomplemented
142#2536C2212yescomplemented
143#2534C2214yes—
144#2521C2214yes—
145#2521C2214yescomplemented
146#2498C2214yescomplemented
147#2496C2214yescomplemented
148#2487C2212yes—
149#2487C2212yes—
150#2487C2212yescomplemented
151#2486C2212yes—
152#2486C2214yescomplemented
153#2486C2212yescomplemented
154#2486C2212yescomplemented
155#2485C2212yes—
156#2485C2214yes—
157#2485C2212yes—
158#2485C2212yes—
159#2485C2212yes—
160#2485C2214yes—
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2478C2214yescomplemented
166#2478C2214yescomplemented
167#2476C2214yes—
168#2476C2214yescomplemented
169#2475C2214yescomplemented
170#2474C2214yes—
171#2474C2214yescomplemented
172#2472C2214yes—
173#2470C2214yescomplemented
174#2469C2214yescomplemented
175#2469C2214yescomplemented
176#2466C2214yescomplemented
177#2465C2214yescomplemented
178#2462C2214yescomplemented
179#2462C2214yescomplemented
180#2462C2214yescomplemented
181#2458C2214yescomplemented
182#2453C2214yescomplemented
183#2451C2214yescomplemented
184#2449C2214yes—
185#2449C2214yescomplemented
186#2448C2214yescomplemented
187#2447C2214yescomplemented
188#2446C2214yescomplemented
189#2445C2214yes—
190#2444C2214yes—
191#2444C2214yes—
192#2444C2214yescomplemented
193#2443C2214yescomplemented
194#2443C2214yescomplemented
195#2441C2214yescomplemented
196#2438C2214yes—
197#2438C2214yes—
198#2438C2214yescomplemented
199#2438C2214yescomplemented
200#2427C2214yescomplemented
201#2426C2214yescomplemented
202#2425C2214yes—
203#2425C2214yes—
204#2419C2214yes—
205#2418C2214yes—
206#2417C2212yes—
207#2417C2212yes—
208#2417C2212yes—
209#2417C2212yes—
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2413C2214yescomplemented
215#2412C2214yes—
216#2412C2214yes—
217#2411C2214yes—
218#2409C2212yes—
219#2409C2212yescomplemented
220#2406C2214yes—
221C2×#397C2212yes—
222C2×#394C2212yes—
223#2376C2214yescomplemented
224#2359C2214yes—
225#2358C2214yes—
226#2352C2212yes—
227#2352C2212yescomplemented
228D4×C4⋊C4C2214yes—
229D4×C4⋊C4C2212yes—
230D4×C4⋊C4C2212yescomplemented
231#2344C2214yes—
232#2339C2214yes—
233#2329C2212yes—
234#2329C2212yescomplemented
235#2325C2212yes—
236#2325C2212yescomplemented
237#2323C2212yescomplemented
238#2323C2212yescomplemented
239#2316C2211yescharacteristic, complemented
240#2316C2211yescharacteristic, complemented
241#2315C2212yes—
242#2314C2212yescomplemented
243#2311C2212yescomplemented
244#2311C2211yescharacteristic, complemented
245#2311C2212yescomplemented
246#2311C2211yescharacteristic, complemented
247#2311C2212yescomplemented
248#2308C2212yes—
249C4×C22⋊Q8C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251#2296C2212yescomplemented
252C2×#389C2211yescharacteristic
253C2×#389C2211yescharacteristic
254C2×#389C2212yescomplemented
255C2×#388C2212yes—
256C2×#387C2212yes—
257C2×#380C2211yescharacteristic
258C2×#380C2211yescharacteristic
259C2×#380C2211yescharacteristic
260C2×#380C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269#556—216no—
270#554—216no—
271#552—232no—
272#552—216no—
273#552—216no—
274#551—232no—
275#544—28no—
276#544—28no—
277#542—216no—
278#542—216no—
279#542—216no—
280#541—216no—
281#540—216no—
282#540—216no—
283#538—28no—
284#538—28no—
285#538—216no—
286#537—28no—
287#536—28no—
288#535—216no—
289#533—216no—
290#532—216no—
291#532—216no—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2312yes—
297C2×#127C2312yes—
298C2×#127C2312yes—
299#529—216no—
300#529—216no—
301#529—216no—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326#525—28no—
327#525—216no—
328#525D4116yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×C22⋊Q8—28no—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#120C2312yes—
383C2×#120C2312yes—
384C2×#120C2312yes—
385C2×#120C2312yes—
386#520—28no—
387#519—28no—
388C4×#41—216no—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2314yes—
397C2×C4×D4—28no—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×#117—28no—
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2314yes—
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2314yes—
432C2×#117C2314yes—
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2314yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C42C2312yes—
458C22×C42C2312yes—
459C22×C42C2311yescharacteristic
460C22×C42C2312yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#391C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2312yes—
560#391C2314yes—
561#391C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
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#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#384C2314yes—
690#384C2312yes—
691#382C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#379C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C2×#95C2314yes—
746C2×#95C2312yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C25C2411yescharacteristic
750C25C2411yescharacteristic
751C2×#41—28no—
752C2×#41—24no—
753C2×#41—28no—
754C2×#41—28no—
755C2×#41—42no—
756C2×#41—42no—
757C2×#41—42no—
758C2×#41—42no—
759C2×#41—44no—
760C2×#41—44no—
761C2×#41—44no—
762C2×#41C2×D418yes—
763C22×Q8—24no—
764C22×Q8—42no—
765C22×Q8—42no—
766C22×Q8C2412yes—
767C22×Q8C2412yes—
768C22×Q8C2412yes—
769C22×Q8C2414yes—
770C22×Q8C2411yescharacteristic
771C22×Q8C2412yes—
772C22×Q8C2411yescharacteristic
773C22×D4—24no—
774C22×D4—24no—
775C22×D4—42no—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2411yescharacteristic
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2411yescharacteristic
792C23×C4—24no—
793C23×C4—42no—
794C23×C4—42no—
795C23×C4—42no—
796C23×C4—42no—
797C23×C4C2×D418yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2412yes—
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2414yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C4⋊Q8—28no—
826C4⋊Q8—28no—
827C4⋊Q8—28no—
828C4⋊Q8—28no—
829C4⋊Q8—28no—
830#127—28no—
831#127—28no—
832#126—28no—
833#126—28no—
834#126—28no—
835#126—28no—
836#126—216no—
837#126—216no—
838#126—216no—
839#126—216no—
840#125—28no—
841#125—28no—
842#125—28no—
843#125—216no—
844#125—216no—
845#125—216no—
846#125—28no—
847#124—28no—
848#124—28no—
849#124—28no—
850#124—216no—
851#124—28no—
852#124—28no—
853#124—28no—
854#124—28no—
855#124—84no—
856#123—28no—
857#123—216no—
858#123—216no—
859#123—216no—
860#123—28no—
861#123—28no—
862#123—28no—
863#123—28no—
864#123—28no—
865#123—28no—
866#123—48no—
867#123—84no—
868#123—84no—
869#123C2×D4116yes—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—84no—
890C22⋊Q8C2×D418yes—
891C22⋊Q8C2×D418yes—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121C2×D418yes—
907#121C2×D418yes—
908#120—28no—
909#120—28no—
910#120—28no—
911#120C2×D4116yes—
912C4×Q8—28no—
913C4×Q8—28no—
914C4×Q8—28no—
915C4×Q8—28no—
916C4×Q8—216no—
917C4×Q8—28no—
918C4×Q8—28no—
919C4×Q8—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—216no—
923C4×D4—216no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—48no—
936C4×D4—84no—
937C4×D4C2×D4116yes—
938C4×D4C2×D4116yes—
939#117—24no—
940#117—24no—
941#117—28no—
942#117—24no—
943#117—28no—
944#117—24no—
945#117—28no—
946#117—24no—
947#117—28no—
948#117—28no—
949#117—28no—
950#117—216no—
951#117—216no—
952#117—216no—
953#117—28no—
954#117—44no—
955#117C2×D418yes—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—42no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—42no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—82no—
969C2×C4⋊C4—84no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C22⋊C4—28no—
1034C2×C22⋊C4—24no—
1035C2×C22⋊C4—28no—
1036C2×C22⋊C4—24no—
1037C2×C22⋊C4—44no—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4—82no—
1040C2×C22⋊C4—82no—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C42—28no—
1096C2×C42—24no—
1097C2×C42—28no—
1098C2×C42—28no—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24—22no—
1160C24—22no—
1161C24—22no—
1162C24—22no—
1163C24—22no—
1164C24—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24C22×D414yes—
1173C24C2512yes—
1174C24C2512yes—
1175C24C2511yescharacteristic
1176C24C2511yescharacteristic
1177C24C2512yes—
1178C24C2511yescharacteristic
1179#41—416no—
1180#41—432no—
1181#41—88no—
1182#41—816no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—28no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—42no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—42no—
1203C2×Q8—416no—
1204C2×Q8C22×D414yes—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—416no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4C22×D418yes—
1251C2×D4C22×D418yes—
1252C2×D4C22×D414yes—
1253C2×D4C22×D418yes—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—416no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—41no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—41no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—88no—
1329C22×C4C22×D414yes—
1330C22×C4C22×D418yes—
1331C22×C4C22×D414yes—
1332C22×C4C22×D414yes—
1333C22×C4C22×D414yes—
1334C22×C4C22×D414yes—
1335C22×C4C22×D414yes—
1336C22×C42−1+414yes—
1337C22×C4C2514yes—
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2514yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4C22×D418yes—
1420C4⋊C4C22×D414yes—
1421C4⋊C4C22×D414yes—
1422C4⋊C4C22×D418yes—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4C22×D418yes—
1473C22⋊C4C22×D418yes—
1474C22⋊C4C22×D418yes—
1475C22⋊C4C22×D418yes—
1476C22⋊C4C22×D418yes—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—28no—
1489C42—28no—
1490C42—28no—
1491C42—44no—
1492C42—44no—
1493C42—44no—
1494C42C22×D418yes—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—21no—
1517C23—28no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23C23×D412yes—
1546C23C23×D412yes—
1547C23C23×D414yes—
1548C23C23×D412yes—
1549C23C2×2−1+412yes—
1550C23#58512yes—
1551C23C2611yescharacteristic
1552Q8—44no—
1553Q8—48no—
1554Q8—48no—
1555Q8—48no—
1556Q8—88no—
1557Q8—82no—
1558Q8—84no—
1559D4—216no—
1560D4—48no—
1561D4—44no—
1562D4—48no—
1563D4—48no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—84no—
1568D4—82no—
1569D4—84no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—28no—
1590C2×C4—28no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—216no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—82no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—82no—
1658C2×C4—88no—
1659C2×C4—162no—
1660C2×C4—162no—
1661C2×C4C23×D412yes—
1662C2×C4C23×D412yes—
1663C2×C4C23×D414yes—
1664C2×C4C23×D414yes—
1665C2×C4C23×D414yes—
1666C2×C4C23×D412yes—
1667C2×C4C23×D412yes—
1668C2×C4C2×2−1+414yes—
1669C2×C4#58512yes—
1670C2×C4#58512yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—24no—
1680C22—24no—
1681C22—22no—
1682C22—22no—
1683C22—24no—
1684C22—22no—
1685C22—22no—
1686C22—42no—
1687C22—41no—
1688C22—41no—
1689C22—42no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—88no—
1713C22—88no—
1714C22#348914yes—
1715C22C24×D411yescharacteristic
1716C22C22×2−1+411yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22H(7,𝔽2)11yescharacteristic
1721C222−1+611yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—24no—
1726C4—24no—
1727C4—24no—
1728C4—24no—
1729C4—42no—
1730C4—42no—
1731C4—44no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—44no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—44no—
1742C4—44no—
1743C4—44no—
1744C4#348514yes—
1745C2—24no—
1746C2—44no—
1747C2—42no—
1748C2—42no—
1749C2—82no—
1750C2—82no—
1751C2C2×#348511yescharacteristic
1752C2C2×#348911yescharacteristic
1753C2#6285311yescharacteristic
1754C2#6292911yescharacteristic
1755C2#6293211yescharacteristic
1756C2#6293411yescharacteristic
1757C2#6293511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3460C2
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×#3495C2semidirect
3. #50181C2semidirect
4. #50178C2semidirect
5. #47206C2semidirect
6. #47203C2semidirect
7. #43905C2semidirect
8. #43018C2semidirect
9. #39468C2semidirect
10. #39463C2semidirect
11. #38051C2semidirect
12. #38043C2semidirect
13. #37838C2semidirect
14. #37837C2semidirect
15. #37762C2semidirect
16. #37747C2semidirect
17. #37707C2semidirect
18. #37689C2semidirect
19. #37442C2semidirect
20. #37376C2semidirect
21. #37281C2semidirect
22. #36375C2semidirect
23. #36275C2semidirect
24. #35663C2semidirect
25. #35517C2semidirect
26. #35263C2semidirect
27. #35010C2semidirect
28. C2×#2485C2semidirect
29. #34360C2semidirect
31. C2×#556C22semidirect
34. C2×#552C22semidirect
35. C2×#552C22semidirect
39. C2×#544C22semidirect
42. C2×#542C22semidirect
43. C2×#541C22semidirect
50. C2×#536C22semidirect
62. C2×#520C22semidirect
63. C2×#519C22semidirect
67. #2857C22semidirect
70. #2855C22semidirect
71. #2855C22semidirect
73. #2851C22semidirect
75. #2814C22semidirect
76. #2734C22semidirect
77. #2731C22semidirect
78. #2726C22semidirect
79. #2725C22semidirect
80. #2722C22semidirect
81. #2721C22semidirect
82. #2718C22semidirect
83. #2717C22semidirect
84. #2717C22semidirect
86. #2715C22semidirect
87. #2715C22semidirect
88. #2713C22semidirect
89. #2713C22semidirect
90. #2711C22semidirect
93. #2708C22semidirect
94. #2707C22semidirect
95. #2704C22semidirect
97. #2701C22semidirect
99. #2695C22semidirect
100. #2694C22semidirect
102. #2691C22semidirect
103. #2691C22semidirect
104. #2690C22semidirect
105. #2690C22semidirect
106. #2689C22semidirect
107. #2689C22semidirect
108. #2687C22semidirect
110. #2686C22semidirect
111. #2686C22semidirect
112. #2680C22semidirect
113. #2674C22semidirect
115. #2672C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
121. #2627C22semidirect
123. #2625C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
126. #2618C22semidirect
127. #2616C22semidirect
128. #2616C22semidirect
129. #2616C22semidirect
130. #2584C22semidirect
131. #2582C22semidirect
132. #2581C22semidirect
134. #2567C22semidirect
136. #2562C22semidirect
139. #2547C22semidirect
141. #2538C22semidirect
142. #2536C22semidirect
145. #2521C22semidirect
146. #2498C22semidirect
147. #2496C22semidirect
150. #2487C22semidirect
152. #2486C22semidirect
153. #2486C22semidirect
154. #2486C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2478C22semidirect
166. #2478C22semidirect
168. #2476C22semidirect
169. #2475C22semidirect
171. #2474C22semidirect
173. #2470C22semidirect
174. #2469C22semidirect
175. #2469C22semidirect
176. #2466C22semidirect
177. #2465C22semidirect
178. #2462C22semidirect
179. #2462C22semidirect
180. #2462C22semidirect
181. #2458C22semidirect
182. #2453C22semidirect
183. #2451C22semidirect
185. #2449C22semidirect
186. #2448C22semidirect
187. #2447C22semidirect
188. #2446C22semidirect
192. #2444C22semidirect
193. #2443C22semidirect
194. #2443C22semidirect
195. #2441C22semidirect
198. #2438C22semidirect
199. #2438C22semidirect
200. #2427C22semidirect
201. #2426C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
214. #2413C22semidirect
219. #2409C22semidirect
223. #2376C22semidirect
227. #2352C22semidirect
230. D4×C4⋊C4C22semidirect
234. #2329C22semidirect
236. #2325C22semidirect
237. #2323C22semidirect
238. #2323C22semidirect
239. #2316C22semidirect
240. #2316C22semidirect
242. #2314C22semidirect
243. #2311C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. #2311C22semidirect
247. #2311C22semidirect
249. C4×C22⋊Q8C22semidirect
250. C4×C22⋊Q8C22semidirect
251. #2296C22semidirect
254. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34602
#501812
#501782
#472062
#472032
#439052
#430182
#394682
#394632
#380512
#380432
#378382
#378372
#377622
#377472
#377072
#376892
#374422
#373762
#372812
#363752
#362752
#356632
#355172
#352632
#350102
C2×#24852
#343602