Finite Group Databasebeta

← #7726975

Subgroups — #7726975

Order 512.

7045 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#49551C212yesmaximal, complemented
4#49550C212yesmaximal, complemented
5#47835C212yesmaximal, complemented
6#47834C212yesmaximal, complemented
7#47213C212yesmaximal, complemented
8#46817C212yesmaximal, complemented
9#46424C212yesmaximal, complemented
10#46359C212yesmaximal, complemented
11#45207C212yesmaximal, complemented
12#45079C212yesmaximal, complemented
13#45051C212yesmaximal, complemented
14#45049C212yesmaximal, complemented
15#39885C212yesmaximal, complemented
16#39861C212yesmaximal, complemented
17#39847C214yesmaximal, complemented
18#38362C214yesmaximal, complemented
19#37765C212yesmaximal, complemented
20#37764C212yesmaximal, complemented
21#37701C212yesmaximal, complemented
22#37694C212yesmaximal, complemented
23#37634C211yesmaximal, characteristic, complemented
24#36964C214yesmaximal, complemented
25#36433C212yesmaximal, complemented
26#36216C212yesmaximal, complemented
27#35449C214yesmaximal, complemented
28#35301C211yesmaximal, characteristic, complemented
29#35200C211yesmaximal, characteristic, complemented
30#34875C211yesmaximal, characteristic, complemented
31#34402C211yesmaximal, characteristic, complemented
32#3508—216no—
33C2×#559C2212yescomplemented
34C2×#559C2212yescomplemented
35C2×#550C2212yes—
36C2×#550C2212yes—
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yescomplemented
40C2×#546C2212yescomplemented
41#3455—216no—
42C2×#542C2212yescomplemented
43C2×#542C2212yescomplemented
44C2×#541C2212yescomplemented
45C2×#540C2212yes—
46C2×#540C2212yes—
47C2×#540C2212yescomplemented
48C2×#539C2212yescomplemented
49C2×#539C2212yescomplemented
50C2×#538C2212yescomplemented
51C2×#538C2212yescomplemented
52C2×#535C2212yes—
53C2×#533C2211yescharacteristic, complemented
54C2×#533C2211yescharacteristic, complemented
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#532C2211yescharacteristic, complemented
58C2×#532C2211yescharacteristic, complemented
59C22×#127C2211yescharacteristic, complemented
60C2×#529C2214yescomplemented
61C2×#529C2214yescomplemented
62C2×#525C2212yescomplemented
63C2×#518C2212yescomplemented
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2212yescomplemented
66C22×#117C2211yescharacteristic, complemented
67#2854C2214yescomplemented
68#2854C2212yescomplemented
69#2853C2214yescomplemented
70#2851C2212yescomplemented
71#2851C2212yescomplemented
72#2847C2212yescomplemented
73#2816C2212yescomplemented
74#2816C2212yescomplemented
75#2723C2214yes—
76#2721C2214yescomplemented
77#2720C2214yescomplemented
78#2719C2214yescomplemented
79#2718C2214yescomplemented
80#2717C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2711C2214yescomplemented
84#2711C2214yescomplemented
85#2710C2214yescomplemented
86#2710C2214yescomplemented
87#2709C2214yescomplemented
88#2709C2214yescomplemented
89#2709C2214yescomplemented
90#2708C2214yescomplemented
91#2708C2214yescomplemented
92#2706C2214yescomplemented
93#2706C2214yescomplemented
94#2703C2214yescomplemented
95#2701C2214yescomplemented
96#2697C2214yes—
97#2695C2214yescomplemented
98#2691C2214yescomplemented
99#2687C2214yescomplemented
100#2686C2214yescomplemented
101#2685C2214yescomplemented
102#2681C2214yescomplemented
103#2680C2214yescomplemented
104#2679C2214yes—
105#2678C2214yescomplemented
106#2676C2214yescomplemented
107#2674C2214yescomplemented
108#2673C2214yes—
109#2673C2214yes—
110#2672C2214yescomplemented
111#2671C2214yescomplemented
112#2670C2214yes—
113#2669C2214yescomplemented
114#2668C2214yescomplemented
115#2660C2212yescomplemented
116#2641C2212yescomplemented
117#2638C2212yes—
118#2638C2212yescomplemented
119#2635C2214yescomplemented
120#2632C2214yescomplemented
121#2630C2214yescomplemented
122#2628C2212yescomplemented
123#2619C2212yes—
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2610C2214yescomplemented
127#2609C2212yes—
128#2609C2212yescomplemented
129#2602C2214yescomplemented
130#2600C2214yescomplemented
131#2599C2212yescomplemented
132#2599C2212yescomplemented
133#2599C2212yescomplemented
134#2598C2212yes—
135#2598C2214yescomplemented
136#2591C2212yescomplemented
137#2579C2211yescharacteristic
138#2579C2211yescharacteristic, complemented
139#2567C2211yescharacteristic, complemented
140#2563C2212yescomplemented
141#2563C2211yescharacteristic, complemented
142#2557C2214yescomplemented
143#2553C2214yescomplemented
144#2547C2211yescharacteristic, complemented
145#2546C2211yescharacteristic, complemented
146#2543C2214yescomplemented
147#2542C2212yescomplemented
148#2539C2214yes—
149#2539C2212yescomplemented
150#2538C2212yes—
151#2537C2212yescomplemented
152#2536C2212yes—
153#2536C2214yescomplemented
154#2535C2212yescomplemented
155#2534C2211yescharacteristic
156#2534C2214yes—
157#2534C2211yescharacteristic, complemented
158#2521C2214yescomplemented
159#2501C2214yescomplemented
160#2500C2212yescomplemented
161#2500C2212yescomplemented
162#2500C2214yescomplemented
163#2499C2212yescomplemented
164#2498C2214yescomplemented
165#2491C2214yescomplemented
166#2488C2214yescomplemented
167#2485C2212yes—
168#2485C2214yescomplemented
169#2485C2212yescomplemented
170#2484C2211yescharacteristic, complemented
171#2482C2211yescharacteristic, complemented
172#2482C2214yescomplemented
173#2480C2214yescomplemented
174#2479C2214yes—
175#2475C2214yescomplemented
176#2472C2214yes—
177#2472C2214yescomplemented
178#2469C2214yescomplemented
179#2468C2214yescomplemented
180#2467C2214yescomplemented
181#2467C2214yescomplemented
182#2462C2214yescomplemented
183#2461C2214yescomplemented
184#2460C2214yescomplemented
185#2460C2214yescomplemented
186#2449C2214yescomplemented
187#2448C2212yescomplemented
188#2448C2212yescomplemented
189#2445C2214yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2214yescomplemented
193#2444C2214yescomplemented
194#2443C2214yescomplemented
195#2443C2214yescomplemented
196#2437C2214yescomplemented
197#2432C2212yes—
198#2430C2214yescomplemented
199#2428C2212yes—
200#2428C2212yes—
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2425C2214yescomplemented
204#2423C2212yescomplemented
205#2423C2212yescomplemented
206#2422C2212yescomplemented
207#2422C2214yescomplemented
208#2422C2212yescomplemented
209#2421C2212yescomplemented
210#2421C2212yescomplemented
211#2420C2212yescomplemented
212#2420C2214yescomplemented
213#2420C2212yescomplemented
214#2419C2214yescomplemented
215#2418C2214yes—
216#2418C2214yes—
217#2412C2214yes—
218#2410C2214yes—
219#2410C2214yes—
220#2408C2212yes—
221#2408C2212yes—
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2406C2211yescharacteristic
225#2406C2214yescomplemented
226#2406C2212yescomplemented
227#2405C2214yescomplemented
228#2405C2214yescomplemented
229#2404C2211yescharacteristic
230#2404C2212yescomplemented
231#2396C2212yescomplemented
232#2392C2212yes—
233#2377C2212yescomplemented
234#2377C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2353C2214yescomplemented
238#2351C2212yescomplemented
239Q8×C4⋊C4C2212yescomplemented
240#2349C2212yescomplemented
241D4×C4⋊C4C2212yescomplemented
242#2341C2212yescomplemented
243#2341C2212yescomplemented
244#2341C2212yescomplemented
245#2339C2212yescomplemented
246D4×C22⋊C4C2212yescomplemented
247D4×C22⋊C4C2212yescomplemented
248#2333C2212yescomplemented
249#2333C2212yescomplemented
250#2328C2212yescomplemented
251#2327C2212yescomplemented
252#2327C2212yescomplemented
253#2326C2212yescomplemented
254#2325C2214yescomplemented
255#2324C2212yescomplemented
256#2324C2212yescomplemented
257#2321C2214yes—
258#2318C2214yescomplemented
259C4×#123C2211yescharacteristic
260C4×#123C2211yescharacteristic, complemented
261C4×#123C2214yescomplemented
262C4×#120C2211yescharacteristic
263C4×#120C2211yescharacteristic, complemented
264#2290C2212yes—
265#2290C2212yescomplemented
266C2×#388C2214yescomplemented
267#2283C2211yescharacteristic, complemented
268#2283C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C22×#41C2312yes—
272C22×#41C2312yes—
273C22×#41C2312yes—
274C23×D4C2312yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277C24×C4C2311yescharacteristic
278#559—216no—
279#559—216no—
280#550—216no—
281#550—216no—
282#546—216no—
283#546—216no—
284#546—216no—
285#546—216no—
286#542—216no—
287#542—216no—
288#541—216no—
289#540—216no—
290#540—216no—
291#540—216no—
292#539—216no—
293#539—216no—
294#538—216no—
295#538—216no—
296#535—216no—
297#533—28no—
298#533—28no—
299#532—28no—
300#532—28no—
301#532—28no—
302#532D4116yescomplemented
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127—28no—
309C2×#127C2311yescharacteristic
310C2×#127C2314yes—
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315#529—232no—
316#529—232no—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333#525—216no—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2311yescharacteristic
345C2×#123C2311yescharacteristic
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2311yescharacteristic
386C2×#120C2311yescharacteristic
387C2×#120C2314yes—
388C2×#120C2314yes—
389#518—216no—
390C4×#41—216no—
391C4×#41—28no—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2314yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×#117—28no—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2311yescharacteristic
436C2×#117C2312yes—
437C2×#117C2314yes—
438C2×#117C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2314yes—
442C22×C22⋊C4C2314yes—
443C22×C22⋊C4C2311yescharacteristic
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2314yes—
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2314yes—
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453#400C2314yes—
454#400C2312yes—
455#400C2314yes—
456#400C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2312yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#395C2312yes—
498#395C2312yes—
499#395C2312yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
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#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#393C2312yes—
541#393C2312yes—
542#393C2314yes—
543#392C2312yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2311yescharacteristic
647#386C2311yescharacteristic
648#386C2311yescharacteristic
649#386C2311yescharacteristic
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#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2311yescharacteristic
682#385C2311yescharacteristic
683#385C2312yes—
684#385C2311yescharacteristic
685#385C2311yescharacteristic
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#383C2312yes—
708#383C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#381C2311yescharacteristic
716#381C2311yescharacteristic
717#381C2314yes—
718#381C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2311yescharacteristic
722#381C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2311yescharacteristic
745#379C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2312yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2311yescharacteristic
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2311yescharacteristic
761C4×C22⋊C4C2314yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765#376C2312yes—
766#376C2312yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C25C2414yes—
770C25C2411yescharacteristic
771C2×#41—28no—
772C2×#41—28no—
773C2×#41—24no—
774C2×#41—28no—
775C2×#41—42no—
776C2×#41—44no—
777C2×#41—44no—
778C2×#41—42no—
779C2×#41—44no—
780C2×#41—44no—
781C2×#41—84no—
782C2×#41—84no—
783C2×#41C2×D4116yes—
784C22×Q8C2411yescharacteristic
785C22×Q8C2412yes—
786C22×Q8C2412yes—
787C22×Q8C2412yes—
788C22×Q8C2412yes—
789C22×D4—28no—
790C22×D4—28no—
791C22×D4—28no—
792C22×D4—44no—
793C22×D4—44no—
794C22×D4—44no—
795C22×D4—44no—
796C22×D4—84no—
797C22×D4C2412yes—
798C22×D4C2411yescharacteristic
799C22×D4C2411yescharacteristic
800C22×D4C2411yescharacteristic
801C22×D4C2414yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C23×C4—24no—
820C23×C4—44no—
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—44no—
847C4⋊Q8C2×D418yes—
848#127—28no—
849#127—28no—
850#127—28no—
851#127—216no—
852#127—24no—
853#127C2×D418yes—
854#126—216no—
855#126—216no—
856#126—216no—
857#126—216no—
858#125—216no—
859#125—216no—
860#125—28no—
861#125—28no—
862#124—28no—
863#124—28no—
864#124—216no—
865#124—216no—
866#124—216no—
867#124—28no—
868#124—44no—
869#124C2×D4116yes—
870#123—216no—
871#123—216no—
872#123—216no—
873#123—216no—
874#123—216no—
875#123—216no—
876#123—216no—
877#123—216no—
878#123—216no—
879#123—42no—
880#123—48no—
881#123—42no—
882#123—84no—
883#123—84no—
884#123—84no—
885#123—84no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—216no—
893C22⋊Q8—216no—
894C22⋊Q8—84no—
895C22⋊Q8—84no—
896#121—28no—
897#121—28no—
898#121—216no—
899#121—216no—
900#121—28no—
901#121—28no—
902#121—216no—
903#121—216no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—28no—
908#121—28no—
909#121—216no—
910#121—48no—
911#121—44no—
912#121—44no—
913#121—84no—
914#121—84no—
915#121C2×D4116yes—
916#121C2×D4116yes—
917#120—216no—
918#120—216no—
919#120—216no—
920#120—42no—
921#120—48no—
922#120—42no—
923#120—84no—
924#120—84no—
925C4×Q8—28no—
926C4×Q8—28no—
927C4×Q8—28no—
928C4×Q8—28no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—28no—
932C4×Q8—28no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×D4—216no—
936C4×D4—216no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—216no—
946C4×D4—216no—
947C4×D4—216no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—216no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4C2×D4116yes—
960C4×D4C2×D4116yes—
961#117—28no—
962#117—216no—
963#117—24no—
964#117—28no—
965#117—28no—
966#117—28no—
967#117—28no—
968#117—28no—
969#117—24no—
970#117—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—84no—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C22⋊C4—24no—
1023C2×C22⋊C4—24no—
1024C2×C22⋊C4—216no—
1025C2×C22⋊C4—216no—
1026C2×C22⋊C4—48no—
1027C2×C22⋊C4—84no—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—24no—
1098C2×C42—216no—
1099C2×C42—24no—
1100C2×C42—24no—
1101C2×C42C2×D418yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—22no—
1170C24—28no—
1171C24—28no—
1172C24—42no—
1173C24—44no—
1174C24—41no—
1175C24—41no—
1176C24—42no—
1177C24—44no—
1178C24—44no—
1179C24—44no—
1180C24—44no—
1181C24C2512yes—
1182C24C2514yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185C24C2514yes—
1186C24C2511yescharacteristic
1187#41—432no—
1188#41—416no—
1189#41—816no—
1190#41—816no—
1191#41—816no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8C22×D418yes—
1205C2×D4—22no—
1206C2×D4—28no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—41no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—432no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—816no—
1267C2×D4—816no—
1268C2×D4C22×D418yes—
1269C2×D4C22×D4116yes—
1270C2×D4C22×D418yes—
1271C2×D4C22×D418yes—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—44no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—416no—
1327C22×C4C22×D414yes—
1328C22×C4C22×D4116yes—
1329C22×C4C22×D414yes—
1330C22×C4C22×D414yes—
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2514yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2514yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2514yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4C22×D418yes—
1403C4⋊C4C22×D418yes—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—41no—
1445C22⋊C4—44no—
1446C22⋊C4—41no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4C22×D4116yes—
1472C22⋊C4C22×D4116yes—
1473C42—24no—
1474C42—22no—
1475C42—24no—
1476C42—28no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—28no—
1483C42—28no—
1484C42—28no—
1485C42—24no—
1486C42—24no—
1487C42—44no—
1488C42—44no—
1489C42—42no—
1490C42—42no—
1491C42C22×D414yes—
1492C42C22×D414yes—
1493C42C22×D414yes—
1494C42C22×D414yes—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23—24no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—22no—
1507C23—24no—
1508C23—24no—
1509C23—22no—
1510C23—24no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—24no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—24no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—416no—
1529C23—44no—
1530C23—82no—
1531C23—82no—
1532C23—88no—
1533C23—88no—
1534C23—88no—
1535C23—88no—
1536C23—84no—
1537C23—84no—
1538C23—164no—
1539C23—164no—
1540C23C23×D418yes—
1541C23C23×D412yes—
1542C23#58512yes—
1543C23C2611yescharacteristic
1544Q8—216no—
1545Q8—44no—
1546Q8—48no—
1547Q8—84no—
1548Q8—84no—
1549D4—216no—
1550D4—48no—
1551D4—48no—
1552D4—416no—
1553D4—416no—
1554D4—44no—
1555D4—44no—
1556D4—48no—
1557D4—48no—
1558D4—44no—
1559D4—48no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—84no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—84no—
1569D4—164no—
1570D4—164no—
1571C2×C4—28no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—28no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—416no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—82no—
1645C2×C4—88no—
1646C2×C4—82no—
1647C2×C4—88no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4—164no—
1651C2×C4C23×D412yes—
1652C2×C4C23×D418yes—
1653C2×C4C23×D412yes—
1654C2×C4C23×D412yes—
1655C2×C4C23×D412yes—
1656C2×C4C23×D412yes—
1657C2×C4C23×D412yes—
1658C2×C4#58512yes—
1659C2×C4#58514yes—
1660C22—22no—
1661C22—28no—
1662C22—22no—
1663C22—22no—
1664C22—28no—
1665C22—22no—
1666C22—28no—
1667C22—24no—
1668C22—41no—
1669C22—41no—
1670C22—44no—
1671C22—42no—
1672C22—44no—
1673C22—44no—
1674C22—42no—
1675C22—44no—
1676C22—42no—
1677C22—42no—
1678C22—41no—
1679C22—44no—
1680C22—41no—
1681C22—44no—
1682C22—42no—
1683C22—41no—
1684C22—44no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—44no—
1696C22—88no—
1697C22—1616no—
1698C22C24×D411yescharacteristic
1699C22C2×#58512yes—
1700C22C2×#58511yescharacteristic
1701C22C2×#58511yescharacteristic
1702C22H(7,𝔽2)12yes—
1703C4—22no—
1704C4—28no—
1705C4—22no—
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—44no—
1716C4—41no—
1717C4—41no—
1718C4—42no—
1719C4—44no—
1720C4—44no—
1721C4—42no—
1722C4—44no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—44no—
1727C4#348514yes—
1728C2—42no—
1729C2—48no—
1730C2—42no—
1731C2—81no—
1732C2—82no—
1733C2—84no—
1734C2C2×#348511yescharacteristic
1735C2#6281111yescharacteristic
1736C2#6285211yescharacteristic
1737C2#6294112yes—
1738C2#6296612yes—
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×#3508C2semidirect
2. C2×#3455C2semidirect
3. #49551C2semidirect
4. #49550C2semidirect
5. #47835C2semidirect
6. #47834C2semidirect
7. #47213C2semidirect
8. #46817C2semidirect
9. #46424C2semidirect
10. #46359C2semidirect
11. #45207C2semidirect
12. #45079C2semidirect
13. #45051C2semidirect
14. #45049C2semidirect
15. #39885C2semidirect
16. #39861C2semidirect
17. #39847C2semidirect
18. #38362C2semidirect
19. #37765C2semidirect
20. #37764C2semidirect
21. #37701C2semidirect
22. #37694C2semidirect
23. #37634C2semidirect
24. #36964C2semidirect
25. #36433C2semidirect
26. #36216C2semidirect
27. #35449C2semidirect
28. #35301C2semidirect
29. #35200C2semidirect
30. #34875C2semidirect
31. #34402C2semidirect
33. C2×#559C22semidirect
34. C2×#559C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
42. C2×#542C22semidirect
43. C2×#542C22semidirect
44. C2×#541C22semidirect
47. C2×#540C22semidirect
48. C2×#539C22semidirect
49. C2×#539C22semidirect
50. C2×#538C22semidirect
51. C2×#538C22semidirect
53. C2×#533C22semidirect
54. C2×#533C22semidirect
57. C2×#532C22semidirect
58. C2×#532C22semidirect
59. C22×#127C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
62. C2×#525C22semidirect
63. C2×#518C22semidirect
65. C2×C4×#41C22semidirect
66. C22×#117C22semidirect
67. #2854C22semidirect
68. #2854C22semidirect
69. #2853C22semidirect
70. #2851C22semidirect
71. #2851C22semidirect
72. #2847C22semidirect
73. #2816C22semidirect
74. #2816C22semidirect
76. #2721C22semidirect
77. #2720C22semidirect
78. #2719C22semidirect
79. #2718C22semidirect
80. #2717C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2711C22semidirect
84. #2711C22semidirect
85. #2710C22semidirect
86. #2710C22semidirect
87. #2709C22semidirect
88. #2709C22semidirect
89. #2709C22semidirect
90. #2708C22semidirect
91. #2708C22semidirect
92. #2706C22semidirect
93. #2706C22semidirect
94. #2703C22semidirect
95. #2701C22semidirect
97. #2695C22semidirect
98. #2691C22semidirect
99. #2687C22semidirect
100. #2686C22semidirect
101. #2685C22semidirect
102. #2681C22semidirect
103. #2680C22semidirect
105. #2678C22semidirect
106. #2676C22semidirect
107. #2674C22semidirect
110. #2672C22semidirect
111. #2671C22semidirect
113. #2669C22semidirect
114. #2668C22semidirect
115. #2660C22semidirect
116. #2641C22semidirect
118. #2638C22semidirect
119. #2635C22semidirect
120. #2632C22semidirect
121. #2630C22semidirect
122. #2628C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2610C22semidirect
128. #2609C22semidirect
129. #2602C22semidirect
130. #2600C22semidirect
131. #2599C22semidirect
132. #2599C22semidirect
133. #2599C22semidirect
135. #2598C22semidirect
136. #2591C22semidirect
138. #2579C22semidirect
139. #2567C22semidirect
140. #2563C22semidirect
141. #2563C22semidirect
142. #2557C22semidirect
143. #2553C22semidirect
144. #2547C22semidirect
145. #2546C22semidirect
146. #2543C22semidirect
147. #2542C22semidirect
149. #2539C22semidirect
151. #2537C22semidirect
153. #2536C22semidirect
154. #2535C22semidirect
157. #2534C22semidirect
158. #2521C22semidirect
159. #2501C22semidirect
160. #2500C22semidirect
161. #2500C22semidirect
162. #2500C22semidirect
163. #2499C22semidirect
164. #2498C22semidirect
165. #2491C22semidirect
166. #2488C22semidirect
168. #2485C22semidirect
169. #2485C22semidirect
170. #2484C22semidirect
171. #2482C22semidirect
172. #2482C22semidirect
173. #2480C22semidirect
175. #2475C22semidirect
177. #2472C22semidirect
178. #2469C22semidirect
179. #2468C22semidirect
180. #2467C22semidirect
181. #2467C22semidirect
182. #2462C22semidirect
183. #2461C22semidirect
184. #2460C22semidirect
185. #2460C22semidirect
186. #2449C22semidirect
187. #2448C22semidirect
188. #2448C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2444C22semidirect
194. #2443C22semidirect
195. #2443C22semidirect
196. #2437C22semidirect
198. #2430C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2425C22semidirect
204. #2423C22semidirect
205. #2423C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
214. #2419C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
225. #2406C22semidirect
226. #2406C22semidirect
227. #2405C22semidirect
228. #2405C22semidirect
230. #2404C22semidirect
231. #2396C22semidirect
233. #2377C22semidirect
234. #2377C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2353C22semidirect
238. #2351C22semidirect
239. Q8×C4⋊C4C22semidirect
240. #2349C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2341C22semidirect
243. #2341C22semidirect
244. #2341C22semidirect
245. #2339C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. #2333C22semidirect
249. #2333C22semidirect
250. #2328C22semidirect
251. #2327C22semidirect
252. #2327C22semidirect
253. #2326C22semidirect
254. #2325C22semidirect
255. #2324C22semidirect
256. #2324C22semidirect
258. #2318C22semidirect
260. C4×#123C22semidirect
261. C4×#123C22semidirect
263. C4×#120C22semidirect
265. #2290C22semidirect
266. C2×#388C22semidirect
267. #2283C22semidirect
268. #2283C22semidirect
302. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#34552
#495512
#495502
#478352
#478342
#472132
#468172
#464242
#463592
#452072
#450792
#450512
#450492
#398852
#398612
#398472
#383622
#377652
#377642
#377012
#376942
#376342
#369642
#364332
#362162
#354492
#353012
#352002
#348752
#344022