Finite Group Databasebeta

← #7727013

Subgroups — #7727013

Order 512.

6836 conjugacy classes of subgroups.

The subgroup lattice has 1637 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#50171C212yesmaximal, complemented
4#49550C212yesmaximal, complemented
5#48781C212yesmaximal, complemented
6#47834C212yesmaximal, complemented
7#46832C214yesmaximal, complemented
8#46381C214yesmaximal, complemented
9#45249C212yesmaximal, complemented
10#45242C212yesmaximal, complemented
11#45100C212yesmaximal, complemented
12#44881C212yesmaximal, complemented
13#39885C212yesmaximal, complemented
14#39870C214yesmaximal, complemented
15#39860C212yesmaximal, complemented
16#38360C214yesmaximal, complemented
17#37767C212yesmaximal, complemented
18#37766C212yesmaximal, complemented
19#37696C212yesmaximal, complemented
20#37696C212yesmaximal, complemented
21#37545C211yesmaximal, characteristic, complemented
22#36963C214yesmaximal, complemented
23#36432C212yesmaximal, complemented
24#36216C212yesmaximal, complemented
25#35449C214yesmaximal, complemented
26#35302C211yesmaximal, characteristic, complemented
27#35297C211yesmaximal, characteristic, complemented
28#34875C211yesmaximal, characteristic, complemented
29#34393C211yesmaximal, characteristic, complemented
30#3514—216no—
31C2×#559C2211yescharacteristic, complemented
32C2×#556C2211yescharacteristic, complemented
33C2×#555C2212yes—
34C2×#551C2214yescomplemented
35C2×D4×Q8C2211yescharacteristic, complemented
36C2×#548C2212yes—
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic, complemented
40#3455—216no—
41C2×#542C2212yescomplemented
42C2×#542C2212yescomplemented
43C2×#542C2212yescomplemented
44C2×#541C2212yescomplemented
45C2×#540C2212yes—
46C2×#539C2212yescomplemented
47C2×#539C2212yescomplemented
48C2×#538C2214yes—
49C2×#538C2212yescomplemented
50C2×#538C2212yescomplemented
51C2×#533C2211yescharacteristic, complemented
52C2×#532C2211yescharacteristic
53C2×#529C2211yescharacteristic
54C2×#529C2212yescomplemented
55C2×#529C2214yescomplemented
56C2×#529C2214yescomplemented
57C22×#124C2212yescomplemented
58C2×#525C2212yescomplemented
59C2×#518C2212yescomplemented
60C2×C4×#41C2211yescharacteristic
61C2×C4×#41C2212yescomplemented
62C22×#117C2211yescharacteristic, complemented
63#2857C2212yescomplemented
64#2857C2212yescomplemented
65#2855C2211yescharacteristic, complemented
66#2855C2214yescomplemented
67#2854C2211yescharacteristic
68#2853C2214yescomplemented
69#2848C2211yescharacteristic, complemented
70#2847C2211yescharacteristic
71#2814C2214yescomplemented
72#2727C2214yescomplemented
73#2725C2214yescomplemented
74#2724C2214yescomplemented
75#2723C2214yescomplemented
76#2722C2214yescomplemented
77#2720C2214yescomplemented
78#2718C2214yescomplemented
79#2717C2214yescomplemented
80#2717C2214yescomplemented
81#2716C2214yescomplemented
82#2715C2214yescomplemented
83#2715C2214yescomplemented
84#2715C2214yescomplemented
85#2713C2214yescomplemented
86#2712C2214yescomplemented
87#2712C2214yescomplemented
88#2710C2214yescomplemented
89#2710C2214yescomplemented
90#2708C2214yescomplemented
91#2708C2214yescomplemented
92#2706C2214yescomplemented
93#2704C2214yescomplemented
94#2702C2214yescomplemented
95#2701C2214yescomplemented
96#2701C2214yescomplemented
97#2700C2214yescomplemented
98#2700C2214yescomplemented
99#2698C2214yescomplemented
100#2697C2214yescomplemented
101#2697C2214yescomplemented
102#2695C2214yescomplemented
103#2688C2214yes—
104#2686C2214yescomplemented
105#2684C2214yescomplemented
106#2680C2214yescomplemented
107#2679C2214yescomplemented
108#2678C2214yes—
109#2678C2214yescomplemented
110#2672C2214yescomplemented
111#2668C2214yescomplemented
112#2660C2211yescharacteristic, complemented
113#2660C2211yescharacteristic, complemented
114#2640C2211yescharacteristic, complemented
115#2640C2211yescharacteristic, complemented
116#2638C2214yescomplemented
117#2638C2212yescomplemented
118#2638C2212yescomplemented
119#2637C2212yescomplemented
120#2637C2212yescomplemented
121#2630C2214yescomplemented
122#2629C2212yescomplemented
123#2625C2212yescomplemented
124#2620C2212yes—
125#2616C2212yes—
126#2609C2212yescomplemented
127#2609C2212yescomplemented
128#2609C2214yescomplemented
129#2602C2214yescomplemented
130#2601C2214yescomplemented
131#2600C2214yescomplemented
132#2599C2212yescomplemented
133#2599C2214yescomplemented
134#2598C2212yes—
135#2584C2212yescomplemented
136#2581C2212yescomplemented
137#2579C2212yescomplemented
138#2579C2212yescomplemented
139#2566C2212yescomplemented
140#2565C2212yescomplemented
141#2564C2214yescomplemented
142#2562C2212yescomplemented
143#2560C2214yescomplemented
144#2556C2214yescomplemented
145#2538C2212yescomplemented
146#2537C2212yes—
147#2536C2212yescomplemented
148#2536C2212yescomplemented
149#2535C2212yes—
150#2534C2212yescomplemented
151#2534C2214yescomplemented
152#2534C2214yescomplemented
153#2534C2212yescomplemented
154#2519C2214yescomplemented
155#2512C2214yescomplemented
156#2500C2212yes—
157#2499C2214yescomplemented
158#2499C2212yescomplemented
159#2498C2214yescomplemented
160#2486C2214yescomplemented
161#2485C2214yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2484C2211yescharacteristic, complemented
165#2482C2211yescharacteristic, complemented
166#2482C2214yescomplemented
167#2480C2214yescomplemented
168#2480C2214yescomplemented
169#2479C2214yescomplemented
170#2478C2214yescomplemented
171#2475C2214yescomplemented
172#2474C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2468C2214yescomplemented
176#2467C2214yes—
177#2461C2214yescomplemented
178#2460C2214yescomplemented
179#2449C2214yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2447C2214yescomplemented
185#2447C2214yescomplemented
186#2444C2214yescomplemented
187#2443C2214yescomplemented
188#2443C2214yescomplemented
189#2438C2214yescomplemented
190#2437C2214yescomplemented
191#2437C2214yescomplemented
192#2427C2212yescomplemented
193#2427C2212yescomplemented
194#2426C2212yes—
195#2426C2212yes—
196#2425C2214yescomplemented
197#2425C2214yescomplemented
198#2424C2214yes—
199#2423C2212yescomplemented
200#2423C2212yescomplemented
201#2422C2212yescomplemented
202#2422C2214yescomplemented
203#2422C2212yescomplemented
204#2421C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2420C2214yescomplemented
209#2419C2214yescomplemented
210#2418C2214yescomplemented
211#2418C2214yescomplemented
212#2415C2214yescomplemented
213#2413C2214yescomplemented
214#2413C2212yescomplemented
215#2412C2214yescomplemented
216#2412C2214yescomplemented
217#2411C2212yescomplemented
218#2410C2214yes—
219#2409C2212yescomplemented
220#2409C2212yescomplemented
221#2408C2212yes—
222#2408C2212yes—
223#2406C2211yescharacteristic
224#2405C2214yescomplemented
225#2404C2211yescharacteristic
226#2396C2212yescomplemented
227#2392C2212yes—
228#2377C2212yescomplemented
229#2377C2212yescomplemented
230#2366C2212yescomplemented
231#2365C2212yescomplemented
232#2357C2212yescomplemented
233#2351C2212yescomplemented
234Q8×C4⋊C4C2212yescomplemented
235#2349C2212yescomplemented
236#2349C2212yescomplemented
237D4×C4⋊C4C2212yescomplemented
238#2341C2212yescomplemented
239Q8×C22⋊C4C2212yescomplemented
240Q8×C22⋊C4C2212yescomplemented
241#2339C2212yescomplemented
242D4×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2212yescomplemented
244#2326C2212yescomplemented
245#2326C2212yescomplemented
246#2325C2214yescomplemented
247#2324C2212yes—
248#2324C2214yescomplemented
249#2323C2212yescomplemented
250#2323C2214yescomplemented
251#2321C2214yescomplemented
252#2318C2214yescomplemented
253C4×#123C2212yescomplemented
254C4×#123C2214yescomplemented
255C4×#120C2212yescomplemented
256#2290C2212yescomplemented
257#2290C2212yescomplemented
258C2×#388C2214yescomplemented
259#2285C2211yescharacteristic, complemented
260#2283C2211yescharacteristic, complemented
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C23×Q8C2312yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267#559—28no—
268#556—28no—
269#555—216no—
270#551—232no—
271D4×Q8—28no—
272#548—216no—
273#546—216no—
274#546—216no—
275D42—28no—
276#542—216no—
277#542—216no—
278#542—216no—
279#541—216no—
280#540—216no—
281#539—216no—
282#539—216no—
283#538—232no—
284#538—216no—
285#538—216no—
286#533—28no—
287#532D4116yescomplemented
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2311yescharacteristic
292C2×#127C2311yescharacteristic
293#529—216no—
294#529—232no—
295#529—232no—
296#529—28no—
297C2×#126C2314yes—
298C2×#126C2312yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#125C2312yes—
305C2×#125C2311yescharacteristic
306C2×#125C2314yes—
307C2×#125C2314yes—
308C2×#124—216no—
309C2×#124C2311yescharacteristic
310C2×#124C2312yes—
311C2×#124C2314yes—
312C2×#124C2312yes—
313C2×#124C2314yes—
314C2×#124C2314yes—
315C2×#124C2314yes—
316C2×#124C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319#525—216no—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2312yes—
365C2×#120C2312yes—
366C2×#120C2314yes—
367#518—216no—
368C4×#41—216no—
369C4×#41—28no—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×#117—28no—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C42C2314yes—
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2311yescharacteristic
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#395C2314yes—
495#395C2312yes—
496#395C2312yes—
497#395C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
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#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2312yes—
526#393C2312yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2314yes—
683#383C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2314yes—
689#382C2311yescharacteristic
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#381C2314yes—
694#381C2311yescharacteristic
695#381C2311yescharacteristic
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#379C2314yes—
720#379C2312yes—
721#379C2314yes—
722#379C2314yes—
723#379C2314yes—
724#379C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741#376C2311yescharacteristic
742#376C2311yescharacteristic
743C2×#95C2314yes—
744C2×#95C2314yes—
745C25C2414yes—
746C25C2411yescharacteristic
747C2×#41—24no—
748C2×#41—44no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41C2×D4116yes—
752C22×Q8—28no—
753C22×Q8—44no—
754C22×Q8—44no—
755C22×Q8C2411yescharacteristic
756C22×Q8C2412yes—
757C22×Q8C2411yescharacteristic
758C22×Q8C2412yes—
759C22×Q8C2412yes—
760C22×Q8C2414yes—
761C22×D4—28no—
762C22×D4—28no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—48no—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C23×C4—24no—
782C23×C4—44no—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2414yes—
802C4⋊Q8—28no—
803C4⋊Q8—24no—
804C4⋊Q8—24no—
805C4⋊Q8C2×D418yes—
806#127C2×D418yes—
807#126—216no—
808#126—216no—
809#126—216no—
810#126—216no—
811#126—216no—
812#126—216no—
813#126—28no—
814#125—216no—
815#125—216no—
816#125—24no—
817#125—28no—
818#124—28no—
819#124—28no—
820#124—216no—
821#124—28no—
822#124—216no—
823#124—216no—
824#124—216no—
825#124—216no—
826#124—24no—
827#124C2×D4116yes—
828#123—216no—
829#123—216no—
830#123—216no—
831#123—216no—
832#123—28no—
833#123—216no—
834#123—216no—
835#123—216no—
836#123—216no—
837#123—44no—
838#123—48no—
839#123—82no—
840#123—84no—
841C22⋊Q8—28no—
842C22⋊Q8—28no—
843C22⋊Q8—28no—
844C22⋊Q8—24no—
845C22⋊Q8—28no—
846C22⋊Q8—28no—
847C22⋊Q8—216no—
848C22⋊Q8—216no—
849C22⋊Q8—28no—
850C22⋊Q8—216no—
851C22⋊Q8—216no—
852C22⋊Q8—48no—
853C22⋊Q8—44no—
854C22⋊Q8—84no—
855#121—28no—
856#121—28no—
857#121—216no—
858#121—216no—
859#121—28no—
860#121—216no—
861#121—216no—
862#121—28no—
863#121—24no—
864#121—48no—
865#121—44no—
866#121C2×D4116yes—
867#121C2×D4116yes—
868#120—216no—
869#120—216no—
870#120—216no—
871#120—48no—
872#120—44no—
873#120—84no—
874#120—82no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×D4—216no—
886C4×D4—216no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—216no—
894C4×D4—216no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—216no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—84no—
907C4×D4C2×D4116yes—
908C4×D4C2×D4116yes—
909#117—28no—
910#117—216no—
911#117—24no—
912#117—28no—
913#117—216no—
914#117—28no—
915#117—28no—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—82no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—84no—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C22⋊C4—24no—
978C2×C22⋊C4—24no—
979C2×C22⋊C4—216no—
980C2×C22⋊C4—216no—
981C2×C22⋊C4—216no—
982C2×C22⋊C4—48no—
983C2×C22⋊C4—84no—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C42—24no—
1049C2×C42—216no—
1050C2×C42—28no—
1051C2×C42C2×D418yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
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—
1122C24—28no—
1123C24—22no—
1124C24—28no—
1125C24—42no—
1126C24—44no—
1127C24—42no—
1128C24—41no—
1129C24—41no—
1130C24—44no—
1131C24—44no—
1132C24—44no—
1133C24—44no—
1134C24C2512yes—
1135C24C2512yes—
1136C24C2511yescharacteristic
1137C24C2514yes—
1138C24C2512yes—
1139#41—432no—
1140#41—416no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—28no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—42no—
1150C2×Q8—44no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—42no—
1155C2×Q8—816no—
1156C2×Q8C22×D418yes—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—28no—
1160C2×D4—24no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—432no—
1196C2×D4—816no—
1197C2×D4C22×D418yes—
1198C2×D4C22×D4116yes—
1199C2×D4C22×D418yes—
1200C2×D4C22×D418yes—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—416no—
1250C22×C4C22×D414yes—
1251C22×C4C22×D4116yes—
1252C22×C4C22×D414yes—
1253C22×C4C22×D414yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4C22×D418yes—
1330C4⋊C4C22×D418yes—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4C22×D4116yes—
1394C22⋊C4C22×D4116yes—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—28no—
1399C42—24no—
1400C42—24no—
1401C42—28no—
1402C42—28no—
1403C42—28no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42C22×D414yes—
1411C42C22×D414yes—
1412C42C22×D414yes—
1413C42C22×D414yes—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—24no—
1420C23—24no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—21no—
1426C23—24no—
1427C23—22no—
1428C23—21no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—416no—
1443C23—44no—
1444C23—82no—
1445C23—82no—
1446C23—88no—
1447C23—88no—
1448C23—88no—
1449C23—88no—
1450C23—84no—
1451C23—84no—
1452C23—164no—
1453C23—164no—
1454C23C23×D418yes—
1455C23C23×D412yes—
1456C23#58514yes—
1457C23C2611yescharacteristic
1458Q8—216no—
1459Q8—44no—
1460Q8—44no—
1461Q8—84no—
1462Q8—84no—
1463Q8—88no—
1464D4—28no—
1465D4—216no—
1466D4—48no—
1467D4—48no—
1468D4—416no—
1469D4—416no—
1470D4—48no—
1471D4—44no—
1472D4—88no—
1473D4—84no—
1474D4—88no—
1475D4—84no—
1476D4—84no—
1477D4—88no—
1478D4—164no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—28no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—44no—
1539C2×C4—416no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—44no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—84no—
1548C2×C4—88no—
1549C2×C4—82no—
1550C2×C4—88no—
1551C2×C4—82no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—88no—
1555C2×C4—164no—
1556C2×C4C23×D412yes—
1557C2×C4C23×D418yes—
1558C2×C4C23×D412yes—
1559C2×C4C23×D412yes—
1560C2×C4C23×D412yes—
1561C2×C4C23×D412yes—
1562C2×C4C23×D412yes—
1563C2×C4#58514yes—
1564C22—22no—
1565C22—28no—
1566C22—22no—
1567C22—24no—
1568C22—28no—
1569C22—22no—
1570C22—28no—
1571C22—24no—
1572C22—24no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—44no—
1577C22—44no—
1578C22—42no—
1579C22—44no—
1580C22—44no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—88no—
1596C22—1616no—
1597C22C24×D411yescharacteristic
1598C22C2×#58512yes—
1599C22C2×#58512yes—
1600C22H(7,𝔽2)11yescharacteristic
1601C222−1+611yescharacteristic
1602C4—22no—
1603C4—28no—
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—44no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—44no—
1623C4—42no—
1624C4—44no—
1625C4#348514yes—
1626C2—42no—
1627C2—48no—
1628C2—44no—
1629C2—82no—
1630C2—82no—
1631C2C2×#348511yescharacteristic
1632C2#6281111yescharacteristic
1633C2#6285311yescharacteristic
1634C2#6294012yes—
1635C2#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×#3514C2semidirect
2. C2×#3455C2semidirect
3. #50171C2semidirect
4. #49550C2semidirect
5. #48781C2semidirect
6. #47834C2semidirect
7. #46832C2semidirect
8. #46381C2semidirect
9. #45249C2semidirect
10. #45242C2semidirect
11. #45100C2semidirect
12. #44881C2semidirect
13. #39885C2semidirect
14. #39870C2semidirect
15. #39860C2semidirect
16. #38360C2semidirect
17. #37767C2semidirect
18. #37766C2semidirect
19. #37696C2semidirect
20. #37696C2semidirect
21. #37545C2semidirect
22. #36963C2semidirect
23. #36432C2semidirect
24. #36216C2semidirect
25. #35449C2semidirect
26. #35302C2semidirect
27. #35297C2semidirect
28. #34875C2semidirect
29. #34393C2semidirect
31. C2×#559C22semidirect
32. C2×#556C22semidirect
34. C2×#551C22semidirect
35. C2×D4×Q8C22semidirect
39. C2×D42C22semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
43. C2×#542C22semidirect
44. C2×#541C22semidirect
46. C2×#539C22semidirect
47. C2×#539C22semidirect
49. C2×#538C22semidirect
50. C2×#538C22semidirect
51. C2×#533C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
56. C2×#529C22semidirect
57. C22×#124C22semidirect
58. C2×#525C22semidirect
59. C2×#518C22semidirect
61. C2×C4×#41C22semidirect
62. C22×#117C22semidirect
63. #2857C22semidirect
64. #2857C22semidirect
65. #2855C22semidirect
66. #2855C22semidirect
68. #2853C22semidirect
69. #2848C22semidirect
71. #2814C22semidirect
72. #2727C22semidirect
73. #2725C22semidirect
74. #2724C22semidirect
75. #2723C22semidirect
76. #2722C22semidirect
77. #2720C22semidirect
78. #2718C22semidirect
79. #2717C22semidirect
80. #2717C22semidirect
81. #2716C22semidirect
82. #2715C22semidirect
83. #2715C22semidirect
84. #2715C22semidirect
85. #2713C22semidirect
86. #2712C22semidirect
87. #2712C22semidirect
88. #2710C22semidirect
89. #2710C22semidirect
90. #2708C22semidirect
91. #2708C22semidirect
92. #2706C22semidirect
93. #2704C22semidirect
94. #2702C22semidirect
95. #2701C22semidirect
96. #2701C22semidirect
97. #2700C22semidirect
98. #2700C22semidirect
99. #2698C22semidirect
100. #2697C22semidirect
101. #2697C22semidirect
102. #2695C22semidirect
104. #2686C22semidirect
105. #2684C22semidirect
106. #2680C22semidirect
107. #2679C22semidirect
109. #2678C22semidirect
110. #2672C22semidirect
111. #2668C22semidirect
112. #2660C22semidirect
113. #2660C22semidirect
114. #2640C22semidirect
115. #2640C22semidirect
116. #2638C22semidirect
117. #2638C22semidirect
118. #2638C22semidirect
119. #2637C22semidirect
120. #2637C22semidirect
121. #2630C22semidirect
122. #2629C22semidirect
123. #2625C22semidirect
126. #2609C22semidirect
127. #2609C22semidirect
128. #2609C22semidirect
129. #2602C22semidirect
130. #2601C22semidirect
131. #2600C22semidirect
132. #2599C22semidirect
133. #2599C22semidirect
135. #2584C22semidirect
136. #2581C22semidirect
137. #2579C22semidirect
138. #2579C22semidirect
139. #2566C22semidirect
140. #2565C22semidirect
141. #2564C22semidirect
142. #2562C22semidirect
143. #2560C22semidirect
144. #2556C22semidirect
145. #2538C22semidirect
147. #2536C22semidirect
148. #2536C22semidirect
150. #2534C22semidirect
151. #2534C22semidirect
152. #2534C22semidirect
153. #2534C22semidirect
154. #2519C22semidirect
155. #2512C22semidirect
157. #2499C22semidirect
158. #2499C22semidirect
159. #2498C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2484C22semidirect
165. #2482C22semidirect
166. #2482C22semidirect
167. #2480C22semidirect
168. #2480C22semidirect
169. #2479C22semidirect
170. #2478C22semidirect
171. #2475C22semidirect
172. #2474C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2468C22semidirect
177. #2461C22semidirect
178. #2460C22semidirect
179. #2449C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2444C22semidirect
187. #2443C22semidirect
188. #2443C22semidirect
189. #2438C22semidirect
190. #2437C22semidirect
191. #2437C22semidirect
192. #2427C22semidirect
193. #2427C22semidirect
196. #2425C22semidirect
197. #2425C22semidirect
199. #2423C22semidirect
200. #2423C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2421C22semidirect
205. #2421C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2419C22semidirect
210. #2418C22semidirect
211. #2418C22semidirect
212. #2415C22semidirect
213. #2413C22semidirect
214. #2413C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2411C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
224. #2405C22semidirect
226. #2396C22semidirect
228. #2377C22semidirect
229. #2377C22semidirect
230. #2366C22semidirect
231. #2365C22semidirect
232. #2357C22semidirect
233. #2351C22semidirect
234. Q8×C4⋊C4C22semidirect
235. #2349C22semidirect
236. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
238. #2341C22semidirect
239. Q8×C22⋊C4C22semidirect
240. Q8×C22⋊C4C22semidirect
241. #2339C22semidirect
242. D4×C22⋊C4C22semidirect
243. D4×C22⋊C4C22semidirect
244. #2326C22semidirect
245. #2326C22semidirect
246. #2325C22semidirect
248. #2324C22semidirect
249. #2323C22semidirect
250. #2323C22semidirect
251. #2321C22semidirect
252. #2318C22semidirect
253. C4×#123C22semidirect
254. C4×#123C22semidirect
255. C4×#120C22semidirect
256. #2290C22semidirect
257. #2290C22semidirect
258. C2×#388C22semidirect
259. #2285C22semidirect
260. #2283C22semidirect
287. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34552
#501712
#495502
#487812
#478342
#468322
#463812
#452492
#452422
#451002
#448812
#398852
#398702
#398602
#383602
#377672
#377662
#376962
#375452
#369632
#364322
#362162
#354492
#353022
#352972
#348752
#343932