Finite Group Databasebeta

← #7645520

Subgroups — #7645520

Order 512.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1651 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3491C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#42309C212yesmaximal, complemented
4#42308C212yesmaximal, complemented
5#42305C212yesmaximal, complemented
6#42304C212yesmaximal, complemented
7#41951C212yesmaximal, complemented
8#41950C212yesmaximal, complemented
9#41947C212yesmaximal, complemented
10#41946C212yesmaximal, complemented
11#39875C214yesmaximal, complemented
12#39874C214yesmaximal, complemented
13#39873C214yesmaximal, complemented
14#39872C214yesmaximal, complemented
15#37557C211yesmaximal, characteristic, complemented
16#37556C211yesmaximal, characteristic, complemented
17#37452C212yesmaximal, complemented
18#37130C214yesmaximal, complemented
19#36740C212yesmaximal, complemented
20#36739C212yesmaximal, complemented
21#35365C214yesmaximal, complemented
22#35241C211yesmaximal, characteristic, complemented
23#35238C211yesmaximal, characteristic, complemented
24#35144C212yesmaximal, complemented
25#35064C212yesmaximal, complemented
26#35006C212yesmaximal, complemented
27#35004C212yesmaximal, complemented
28#34964C212yesmaximal, complemented
29C2×#2347C211yesmaximal, characteristic, complemented
30#3491—216no—
31C2×#552C2212yes—
32C2×#552C2212yes—
33C2×#552C2212yes—
34C2×#552C2212yes—
35C2×#551C2212yes—
36C2×#551C2212yes—
37C2×#551C2212yes—
38C2×#551C2212yes—
39C2×#543C2211yescharacteristic
40#3455—216no—
41C2×#542C2212yescomplemented
42C2×#542C2212yescomplemented
43C2×#541C2212yescomplemented
44C2×#540C2212yescomplemented
45C2×#539C2212yes—
46C2×#539C2211yescharacteristic
47C2×#539C2211yescharacteristic
48C2×#539C2212yescomplemented
49C2×#539C2212yescomplemented
50C2×#538C2212yes—
51C2×#538C2212yes—
52C2×#534C2211yescharacteristic
53C2×#533C2211yescharacteristic, complemented
54C2×#532C2211yescharacteristic, complemented
55C2×#529C2212yes—
56C2×#529C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2214yescomplemented
59C2×#529C2214yescomplemented
60C2×#525C2212yes—
61C22×#123C2212yes—
62C2×#518C2212yes—
63C2×C4×#41C2212yescomplemented
64C22×#117C2211yescharacteristic
65#2857C2212yescomplemented
66#2856C2212yes—
67#2854C2214yescomplemented
68#2854C2214yescomplemented
69#2852C2214yescomplemented
70#2852C2214yescomplemented
71#2850C2212yes—
72#2850C2212yescomplemented
73#2821C2212yescomplemented
74#2821C2212yescomplemented
75#2821C2212yescomplemented
76#2818C2212yescomplemented
77#2814C2212yes—
78#2814C2212yes—
79#2813C2212yes—
80#2813C2212yes—
81#2727C2214yescomplemented
82#2726C2214yescomplemented
83#2725C2214yescomplemented
84#2725C2214yescomplemented
85#2718C2214yes—
86#2710C2214yes—
87#2707C2214yescomplemented
88#2707C2214yescomplemented
89#2706C2214yes—
90#2705C2214yescomplemented
91#2705C2214yescomplemented
92#2704C2214yescomplemented
93#2704C2214yescomplemented
94#2703C2214yes—
95#2702C2214yescomplemented
96#2702C2214yescomplemented
97#2700C2214yescomplemented
98#2698C2214yescomplemented
99#2689C2214yescomplemented
100#2687C2214yescomplemented
101#2685C2214yes—
102#2683C2214yescomplemented
103#2682C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2678C2214yes—
109#2674C2214yescomplemented
110#2672C2214yescomplemented
111#2670C2214yes—
112#2669C2214yes—
113#2664C2212yescomplemented
114#2664C2212yescomplemented
115#2663C2212yes—
116#2663C2212yes—
117#2662C2212yescomplemented
118#2662C2212yescomplemented
119#2661C2212yes—
120#2661C2212yes—
121#2659C2212yescomplemented
122#2656C2212yes—
123#2639C2212yes—
124#2639C2212yescomplemented
125#2634C2212yescomplemented
126#2634C2212yescomplemented
127#2634C2212yescomplemented
128#2633C2212yescomplemented
129#2633C2212yescomplemented
130#2633C2212yescomplemented
131#2632C2212yescomplemented
132#2632C2212yescomplemented
133#2632C2212yescomplemented
134#2631C2212yescomplemented
135#2631C2212yescomplemented
136#2631C2212yescomplemented
137#2630C2214yes—
138#2630C2214yes—
139#2627C2212yescomplemented
140#2626C2212yescomplemented
141#2618C2214yescomplemented
142#2618C2214yescomplemented
143#2618C2212yescomplemented
144#2617C2212yescomplemented
145#2602C2214yes—
146#2602C2214yes—
147#2601C2214yescomplemented
148#2601C2214yescomplemented
149#2599C2212yescomplemented
150#2599C2212yescomplemented
151#2599C2214yescomplemented
152#2599C2214yescomplemented
153#2598C2212yescomplemented
154#2598C2212yescomplemented
155#2598C2214yescomplemented
156#2598C2214yescomplemented
157#2592C2212yescomplemented
158#2591C2212yescomplemented
159#2584C2212yescomplemented
160#2583C2212yescomplemented
161#2579C2214yescomplemented
162#2568C2211yescharacteristic, complemented
163#2567C2211yescharacteristic, complemented
164#2566C2212yescomplemented
165#2565C2212yescomplemented
166#2564C2214yescomplemented
167#2564C2214yescomplemented
168#2563C2211yescharacteristic, complemented
169#2562C2212yescomplemented
170#2561C2212yescomplemented
171#2560C2214yescomplemented
172#2560C2214yescomplemented
173#2558C2214yescomplemented
174#2558C2214yescomplemented
175#2556C2214yescomplemented
176#2556C2214yescomplemented
177#2554C2214yescomplemented
178#2554C2214yescomplemented
179#2548C2211yescharacteristic, complemented
180#2547C2211yescharacteristic, complemented
181#2546C2211yescharacteristic, complemented
182#2545C2212yescomplemented
183#2544C2212yescomplemented
184#2543C2214yes—
185#2543C2214yescomplemented
186#2542C2211yescharacteristic, complemented
187#2541C2211yescharacteristic, complemented
188#2540C2212yescomplemented
189#2539C2212yescomplemented
190#2534C2214yescomplemented
191#2519C2214yescomplemented
192#2519C2214yescomplemented
193#2512C2214yescomplemented
194#2506C2214yescomplemented
195#2498C2212yescomplemented
196#2498C2212yescomplemented
197#2498C2212yescomplemented
198#2498C2212yescomplemented
199#2480C2214yescomplemented
200#2478C2214yescomplemented
201#2476C2214yescomplemented
202#2474C2214yescomplemented
203#2472C2214yescomplemented
204#2470C2214yescomplemented
205#2468C2214yes—
206#2466C2214yes—
207#2464C2214yes—
208#2461C2214yes—
209#2461C2214yescomplemented
210#2461C2214yescomplemented
211#2459C2214yes—
212#2457C2214yes—
213#2456C2214yes—
214#2455C2214yes—
215#2452C2214yescomplemented
216#2445C2214yescomplemented
217#2430C2212yescomplemented
218#2430C2212yescomplemented
219#2430C2212yescomplemented
220#2430C2212yescomplemented
221#2424C2214yescomplemented
222#2418C2214yescomplemented
223#2417C2214yescomplemented
224#2417C2214yescomplemented
225#2416C2214yes—
226#2416C2214yescomplemented
227#2412C2214yes—
228#2412C2214yes—
229#2410C2214yes—
230#2410C2214yes—
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233#2392C2212yescomplemented
234#2392C2212yescomplemented
235#2347C2212yescomplemented
236#2347C2212yescomplemented
237#2347C2212yescomplemented
238#2347C2212yescomplemented
239#2347C2214yescomplemented
240#2347C2214yescomplemented
241#2325C2214yescomplemented
242#2325C2214yescomplemented
243#2324C2214yescomplemented
244#2323C2214yescomplemented
245#2322C2214yescomplemented
246#2321C2214yescomplemented
247C4×C22⋊Q8C2214yescomplemented
248C4×#121C2214yescomplemented
249C4×#121C2214yescomplemented
250C4×#121C2214yescomplemented
251C2×#389C2212yescomplemented
252C2×#388C2212yes—
253C2×#388C2212yes—
254C2×#383C2211yescharacteristic, complemented
255C2×#383C2211yescharacteristic, complemented
256C2×#380C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C2×C4×C4⋊C4C2212yescomplemented
260C2×C4×C22⋊C4C2211yescharacteristic
261C22×#41C2312yes—
262C23×D4C2312yes—
263C24×C4C2311yescharacteristic
264#552—216no—
265#552—216no—
266#552—216no—
267#552—216no—
268#551—216no—
269#551—216no—
270#551—216no—
271#551—216no—
272#543—28no—
273#542—216no—
274#542—216no—
275#541—216no—
276#540—216no—
277#539—216no—
278#539—28no—
279#539—28no—
280#539—216no—
281#539—216no—
282#538—216no—
283#538—216no—
284#534—28no—
285#533—28no—
286#532—28no—
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2312yes—
291C2×#127C2311yescharacteristic
292C2×#127C2312yes—
293#529—232no—
294#529—232no—
295#529—216no—
296#529—28no—
297#529—28no—
298C2×#126C2312yes—
299C2×#126C2314yes—
300C2×#126C2312yes—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#125C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328#525—216no—
329C2×#123—216no—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#120C2314yes—
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390#518—216no—
391C4×#41—216no—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×#117D4116yescomplemented
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2314yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2312yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2311yescharacteristic
449C22×C42C2314yes—
450C22×C42C2312yes—
451C22×C42C2312yes—
452C22×C42C2312yes—
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455#400C2312yes—
456#400C2312yes—
457#400C2314yes—
458#400C2314yes—
459#400C2312yes—
460#400C2314yes—
461#400C2312yes—
462#400C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2312yes—
466#399C2314yes—
467#399C2312yes—
468#399C2312yes—
469#399C2314yes—
470#399C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2312yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2314yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
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#395C2312yes—
518#395C2312yes—
519#395C2314yes—
520#395C2312yes—
521#395C2312yes—
522#395C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
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#394C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2312yes—
551#393C2312yes—
552#393C2314yes—
553#393C2314yes—
554#393C2312yes—
555#392C2312yes—
556#392C2314yes—
557#392C2312yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2314yes—
572#391C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
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#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
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#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
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#385C2314yes—
690#385C2314yes—
691#384C2312yes—
692#384C2312yes—
693#383C2312yes—
694#383C2312yes—
695#383C2314yes—
696#383C2312yes—
697#383C2312yes—
698#383C2312yes—
699#383C2312yes—
700#382C2312yes—
701#382C2312yes—
702#381C2314yes—
703#381C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#379C2314yes—
716#379C2314yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C2×#95C2312yes—
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2312yes—
743C2×#95C2311yescharacteristic
744C2×#95C2311yescharacteristic
745C2×#95C2311yescharacteristic
746C2×#95C2311yescharacteristic
747C25C2411yescharacteristic
748C25C2412yes—
749C2×#41—28no—
750C2×#41—48no—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C22×Q8C2412yes—
757C22×D4—28no—
758C22×D4—48no—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C23×C4—44no—
777C23×C4C2×D418yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C4⋊Q8—24no—
801C4⋊Q8—24no—
802C4⋊Q8—24no—
803C4⋊Q8—82no—
804#127—24no—
805#127—82no—
806#126—216no—
807#126—216no—
808#126—28no—
809#126—28no—
810#126—28no—
811#126—28no—
812#126—216no—
813#126—216no—
814#126—28no—
815#126—28no—
816#126—28no—
817#126—28no—
818#125—216no—
819#125—216no—
820#125—28no—
821#125—28no—
822#125—28no—
823#125—28no—
824#125—28no—
825#125—24no—
826#125—24no—
827#125—28no—
828#124—216no—
829#124—216no—
830#124—28no—
831#124—24no—
832#124—24no—
833#124—28no—
834#124—82no—
835#124—82no—
836#123—28no—
837#123—28no—
838#123—28no—
839#123—28no—
840#123—28no—
841#123—28no—
842#123—28no—
843#123—28no—
844#123—216no—
845#123—216no—
846#123—216no—
847#123—28no—
848#123—28no—
849#123—28no—
850#123—28no—
851#123—216no—
852#123—216no—
853#123—28no—
854#123—28no—
855#123—48no—
856#123—84no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—24no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—216no—
865C22⋊Q8—216no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876#121—28no—
877#121—28no—
878#121—28no—
879#121—24no—
880#121—24no—
881#121—28no—
882#121—28no—
883#121—216no—
884#121—216no—
885#121—48no—
886#121—48no—
887#121—48no—
888#121—48no—
889#121—48no—
890#121—48no—
891#120—216no—
892#120—28no—
893#120—28no—
894#120—48no—
895#120—84no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×D4—216no—
904C4×D4—216no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—216no—
910C4×D4—216no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—84no—
923C4×D4—84no—
924#117—28no—
925#117—28no—
926#117—28no—
927#117—216no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—28no—
932#117C2×D4116yes—
933#117C2×D4116yes—
934#117C2×D4116yes—
935#117C2×D4116yes—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4C2×D418yes—
942C2×C4⋊C4C2×D418yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—28no—
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—44no—
1007C2×C22⋊C4—82no—
1008C2×C22⋊C4C2×D418yes—
1009C2×C22⋊C4C2×D418yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—216no—
1072C2×C42—44no—
1073C2×C42—82no—
1074C2×C42—82no—
1075C2×C42C2×D418yes—
1076C2×C42C2×D418yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
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—
1140C24—24no—
1141C24—24no—
1142C24—42no—
1143C24—41no—
1144C24—41no—
1145C24—44no—
1146C24—44no—
1147C24—42no—
1148C24—42no—
1149C24C22×D414yes—
1150C24C2512yes—
1151C24C2512yes—
1152C24C2514yes—
1153C24C2512yes—
1154C24C2511yescharacteristic
1155#41—432no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—41no—
1166C2×Q8—42no—
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8—42no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—42no—
1207C2×D4—41no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—432no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—416no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4C22×D414yes—
1266C22×C4C22×D414yes—
1267C22×C4C22×D414yes—
1268C22×C4C22×D414yes—
1269C22×C4C22×D414yes—
1270C22×C4C22×D414yes—
1271C22×C4C22×D418yes—
1272C22×C4C22×D418yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4C22×D418yes—
1352C4⋊C4C22×D418yes—
1353C4⋊C4C22×D418yes—
1354C4⋊C4C22×D418yes—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
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—44no—
1412C22⋊C4C22×D418yes—
1413C22⋊C4C22×D418yes—
1414C22⋊C4C22×D418yes—
1415C22⋊C4C22×D418yes—
1416C42—28no—
1417C42—28no—
1418C42—28no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42C22×D418yes—
1432C42C22×D414yes—
1433C42C22×D414yes—
1434C42C22×D418yes—
1435C42C22×D414yes—
1436C42C22×D414yes—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23—28no—
1445C23—22no—
1446C23—22no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—22no—
1462C23—44no—
1463C23—44no—
1464C23—48no—
1465C23—84no—
1466C23—84no—
1467C23—84no—
1468C23—84no—
1469C23—164no—
1470C23—164no—
1471C23C23×D414yes—
1472C23C23×D412yes—
1473C23#58514yes—
1474C23C2611yescharacteristic
1475Q8—48no—
1476Q8—84no—
1477Q8—84no—
1478Q8—82no—
1479Q8—82no—
1480Q8—84no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—48no—
1486D4—416no—
1487D4—84no—
1488D4—84no—
1489D4—84no—
1490D4—82no—
1491D4—82no—
1492D4—88no—
1493D4—88no—
1494D4—88no—
1495D4—88no—
1496D4—164no—
1497D4—164no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—28no—
1513C2×C4—28no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—416no—
1560C2×C4—48no—
1561C2×C4—84no—
1562C2×C4—88no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4C23×D412yes—
1573C2×C4C23×D414yes—
1574C2×C4C23×D412yes—
1575C2×C4C23×D414yes—
1576C2×C4C23×D412yes—
1577C2×C4C23×D412yes—
1578C2×C4C23×D412yes—
1579C2×C4C23×D412yes—
1580C2×C4C23×D414yes—
1581C2×C4#58514yes—
1582C22—22no—
1583C22—22no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—24no—
1589C22—44no—
1590C22—44no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—44no—
1598C22—42no—
1599C22—42no—
1600C22—44no—
1601C22—44no—
1602C22—44no—
1603C22—44no—
1604C22—44no—
1605C22—44no—
1606C22—44no—
1607C22—44no—
1608C22—88no—
1609C22—168no—
1610C22#344914yes—
1611C22C24×D411yescharacteristic
1612C22C2×#58512yes—
1613C22C2×#58512yes—
1614C22H(7,𝔽2)11yescharacteristic
1615C222−1+611yescharacteristic
1616C4—22no—
1617C4—24no—
1618C4—22no—
1619C4—24no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—24no—
1624C4—22no—
1625C4—24no—
1626C4—42no—
1627C4—42no—
1628C4—44no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—42no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—44no—
1640C2—24no—
1641C2—44no—
1642C2—84no—
1643C2—82no—
1644C2—82no—
1645C2C2×#344911yescharacteristic
1646C2#6281211yescharacteristic
1647C2#6285311yescharacteristic
1648C2#6296312yes—
1649C2#6296412yes—
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×#3491C2semidirect
2. C2×#3455C2semidirect
3. #42309C2semidirect
4. #42308C2semidirect
5. #42305C2semidirect
6. #42304C2semidirect
7. #41951C2semidirect
8. #41950C2semidirect
9. #41947C2semidirect
10. #41946C2semidirect
11. #39875C2semidirect
12. #39874C2semidirect
13. #39873C2semidirect
14. #39872C2semidirect
15. #37557C2semidirect
16. #37556C2semidirect
17. #37452C2semidirect
18. #37130C2semidirect
19. #36740C2semidirect
20. #36739C2semidirect
21. #35365C2semidirect
22. #35241C2semidirect
23. #35238C2semidirect
24. #35144C2semidirect
25. #35064C2semidirect
26. #35006C2semidirect
27. #35004C2semidirect
28. #34964C2semidirect
29. C2×#2347C2semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
43. C2×#541C22semidirect
44. C2×#540C22semidirect
48. C2×#539C22semidirect
49. C2×#539C22semidirect
53. C2×#533C22semidirect
54. C2×#532C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
63. C2×C4×#41C22semidirect
65. #2857C22semidirect
67. #2854C22semidirect
68. #2854C22semidirect
69. #2852C22semidirect
70. #2852C22semidirect
72. #2850C22semidirect
73. #2821C22semidirect
74. #2821C22semidirect
75. #2821C22semidirect
76. #2818C22semidirect
81. #2727C22semidirect
82. #2726C22semidirect
83. #2725C22semidirect
84. #2725C22semidirect
87. #2707C22semidirect
88. #2707C22semidirect
90. #2705C22semidirect
91. #2705C22semidirect
92. #2704C22semidirect
93. #2704C22semidirect
95. #2702C22semidirect
96. #2702C22semidirect
97. #2700C22semidirect
98. #2698C22semidirect
99. #2689C22semidirect
100. #2687C22semidirect
102. #2683C22semidirect
103. #2682C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
109. #2674C22semidirect
110. #2672C22semidirect
113. #2664C22semidirect
114. #2664C22semidirect
117. #2662C22semidirect
118. #2662C22semidirect
121. #2659C22semidirect
124. #2639C22semidirect
125. #2634C22semidirect
126. #2634C22semidirect
127. #2634C22semidirect
128. #2633C22semidirect
129. #2633C22semidirect
130. #2633C22semidirect
131. #2632C22semidirect
132. #2632C22semidirect
133. #2632C22semidirect
134. #2631C22semidirect
135. #2631C22semidirect
136. #2631C22semidirect
139. #2627C22semidirect
140. #2626C22semidirect
141. #2618C22semidirect
142. #2618C22semidirect
143. #2618C22semidirect
144. #2617C22semidirect
147. #2601C22semidirect
148. #2601C22semidirect
149. #2599C22semidirect
150. #2599C22semidirect
151. #2599C22semidirect
152. #2599C22semidirect
153. #2598C22semidirect
154. #2598C22semidirect
155. #2598C22semidirect
156. #2598C22semidirect
157. #2592C22semidirect
158. #2591C22semidirect
159. #2584C22semidirect
160. #2583C22semidirect
161. #2579C22semidirect
162. #2568C22semidirect
163. #2567C22semidirect
164. #2566C22semidirect
165. #2565C22semidirect
166. #2564C22semidirect
167. #2564C22semidirect
168. #2563C22semidirect
169. #2562C22semidirect
170. #2561C22semidirect
171. #2560C22semidirect
172. #2560C22semidirect
173. #2558C22semidirect
174. #2558C22semidirect
175. #2556C22semidirect
176. #2556C22semidirect
177. #2554C22semidirect
178. #2554C22semidirect
179. #2548C22semidirect
180. #2547C22semidirect
181. #2546C22semidirect
182. #2545C22semidirect
183. #2544C22semidirect
185. #2543C22semidirect
186. #2542C22semidirect
187. #2541C22semidirect
188. #2540C22semidirect
189. #2539C22semidirect
190. #2534C22semidirect
191. #2519C22semidirect
192. #2519C22semidirect
193. #2512C22semidirect
194. #2506C22semidirect
195. #2498C22semidirect
196. #2498C22semidirect
197. #2498C22semidirect
198. #2498C22semidirect
199. #2480C22semidirect
200. #2478C22semidirect
201. #2476C22semidirect
202. #2474C22semidirect
203. #2472C22semidirect
204. #2470C22semidirect
209. #2461C22semidirect
210. #2461C22semidirect
215. #2452C22semidirect
216. #2445C22semidirect
217. #2430C22semidirect
218. #2430C22semidirect
219. #2430C22semidirect
220. #2430C22semidirect
221. #2424C22semidirect
222. #2418C22semidirect
223. #2417C22semidirect
224. #2417C22semidirect
226. #2416C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
233. #2392C22semidirect
234. #2392C22semidirect
235. #2347C22semidirect
236. #2347C22semidirect
237. #2347C22semidirect
238. #2347C22semidirect
239. #2347C22semidirect
240. #2347C22semidirect
241. #2325C22semidirect
242. #2325C22semidirect
243. #2324C22semidirect
244. #2323C22semidirect
245. #2322C22semidirect
246. #2321C22semidirect
247. C4×C22⋊Q8C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C2×#389C22semidirect
254. C2×#383C22semidirect
255. C2×#383C22semidirect
257. C2×C4×C4⋊C4C22semidirect
258. C2×C4×C4⋊C4C22semidirect
259. C2×C4×C4⋊C4C22semidirect
420. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34912
C2×#34552
#423092
#423082
#423052
#423042
#419512
#419502
#419472
#419462
#398752
#398742
#398732
#398722
#375572
#375562
#374522
#371302
#367402
#367392
#353652
#352412
#352382
#351442
#350642
#350062
#350042
#349642
C2×#23472