Finite Group Databasebeta

← #7671737

Subgroups — #7671737

Order 512.

5737 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59764C212yesmaximal, complemented
2#59562C212yesmaximal, complemented
3#59484C212yesmaximal, complemented
4#59483C212yesmaximal, complemented
5#59394C212yesmaximal, complemented
6#59378C212yesmaximal, complemented
7#59083C212yesmaximal, complemented
8#59038C212yesmaximal, complemented
9#40173C212yesmaximal, complemented
10#40169C212yesmaximal, complemented
11#40149C212yesmaximal, complemented
12#40145C212yesmaximal, complemented
13#39284C212yesmaximal, complemented
14#39070C212yesmaximal, complemented
15#38062C212yesmaximal, complemented
16#38034C212yesmaximal, complemented
17#36631C211yesmaximal, characteristic, complemented
18#36609C211yesmaximal, characteristic, complemented
19#36559C211yesmaximal, characteristic, complemented
20#36527C212yesmaximal, complemented
21#36462C212yesmaximal, complemented
22#36240C212yesmaximal, complemented
23#36238C212yesmaximal, complemented
24#36211C211yesmaximal, characteristic, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36194C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36121C211yesmaximal, characteristic, complemented
29#36121C211yesmaximal, characteristic, complemented
30#35615C212yesmaximal, complemented
31#35611C212yesmaximal, complemented
32#35291C211yesmaximal, characteristic, complemented
33#35277C211yesmaximal, characteristic, complemented
34#35195C212yesmaximal, complemented
35#34292C212yesmaximal, complemented
36#34226C211yesmaximal, characteristic, complemented
37#34210C211yesmaximal, characteristic, complemented
38C4×#532C211yesmaximal, characteristic, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#554C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#542C2212yescomplemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C22×#127C2211yescharacteristic
47C2×#529C2211yescharacteristic
48C2×#529C2212yescomplemented
49C2×#518C2212yes—
50C2×C4×#41C2212yescomplemented
51#2868C2211yescharacteristic, complemented
52#2862C2211yescharacteristic, complemented
53#2861C2212yescomplemented
54#2860C2212yescomplemented
55#2860C2212yescomplemented
56#2859C2211yescharacteristic, complemented
57#2859C2211yescharacteristic, complemented
58#2858C2211yescharacteristic
59#2858C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic, complemented
63#2857C2211yescharacteristic, complemented
64#2856C2211yescharacteristic
65#2856C2211yescharacteristic
66#2854C2212yescomplemented
67#2854C2212yescomplemented
68#2852C2214yescomplemented
69#2850C2212yescomplemented
70#2850C2214yescomplemented
71#2779C2214yescomplemented
72#2778C2214yescomplemented
73#2760C2214yescomplemented
74#2753C2214yescomplemented
75#2751C2214yescomplemented
76#2750C2214yescomplemented
77#2749C2214yescomplemented
78#2740C2214yescomplemented
79#2736C2214yes—
80#2735C2214yes—
81#2703C2214yescomplemented
82#2697C2214yes—
83#2696C2214yescomplemented
84#2693C2214yescomplemented
85#2681C2214yescomplemented
86#2678C2214yes—
87#2645C2212yescomplemented
88#2640C2212yescomplemented
89#2636C2214yescomplemented
90#2631C2214yescomplemented
91#2625C2212yes—
92#2620C2212yescomplemented
93#2602C2214yescomplemented
94#2595C2214yescomplemented
95#2592C2212yescomplemented
96#2592C2212yescomplemented
97#2591C2214yescomplemented
98#2580C2212yescomplemented
99#2578C2214yescomplemented
100#2576C2214yescomplemented
101#2576C2214yescomplemented
102#2576C2214yescomplemented
103#2572C2214yescomplemented
104#2571C2212yescomplemented
105#2566C2212yescomplemented
106#2566C2212yescomplemented
107#2563C2212yes—
108#2563C2212yescomplemented
109#2562C2212yes—
110#2561C2214yes—
111#2561C2214yes—
112#2560C2214yescomplemented
113#2559C2214yescomplemented
114#2558C2214yescomplemented
115#2554C2214yescomplemented
116#2544C2212yes—
117#2544C2212yes—
118#2538C2212yes—
119#2538C2212yescomplemented
120#2538C2212yescomplemented
121#2535C2212yescomplemented
122#2535C2212yescomplemented
123#2518C2214yescomplemented
124#2518C2214yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2513C2212yescomplemented
128#2513C2212yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2512C2212yescomplemented
132#2512C2212yescomplemented
133#2510C2214yescomplemented
134#2510C2214yescomplemented
135#2509C2212yescomplemented
136#2509C2212yescomplemented
137#2508C2212yescomplemented
138#2497C2212yes—
139#2497C2212yescomplemented
140#2495C2212yes—
141#2495C2212yes—
142#2494C2212yes—
143#2494C2212yes—
144#2494C2212yescomplemented
145#2492C2212yes—
146#2492C2212yescomplemented
147#2491C2212yescomplemented
148#2491C2212yescomplemented
149#2490C2212yescomplemented
150#2490C2212yescomplemented
151#2489C2212yes—
152#2488C2214yescomplemented
153#2488C2214yescomplemented
154#2485C2212yes—
155#2481C2214yescomplemented
156#2480C2214yes—
157#2480C2214yes—
158#2480C2214yes—
159#2477C2214yescomplemented
160#2477C2214yescomplemented
161#2472C2214yes—
162#2472C2214yes—
163#2471C2214yescomplemented
164#2470C2214yescomplemented
165#2466C2214yescomplemented
166#2463C2214yescomplemented
167#2459C2214yescomplemented
168#2456C2214yescomplemented
169#2453C2212yescomplemented
170#2452C2212yescomplemented
171#2452C2212yescomplemented
172#2452C2212yescomplemented
173#2452C2212yescomplemented
174#2452C2212yescomplemented
175#2452C2212yescomplemented
176#2448C2212yescomplemented
177#2448C2212yescomplemented
178#2447C2212yescomplemented
179#2447C2212yescomplemented
180#2447C2212yescomplemented
181#2447C2212yescomplemented
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2439C2212yes—
187#2439C2212yescomplemented
188#2435C2212yes—
189#2435C2212yes—
190#2431C2212yes—
191#2431C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2422C2212yescomplemented
199#2422C2212yescomplemented
200#2421C2212yes—
201#2421C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2415C2212yes—
207#2415C2214yescomplemented
208#2414C2212yescomplemented
209#2414C2212yescomplemented
210#2411C2214yes—
211#2408C2212yes—
212#2408C2212yes—
213#2408C2212yes—
214#2408C2212yes—
215#2407C2212yescomplemented
216#2407C2212yescomplemented
217#2370C2212yescomplemented
218#2369C2212yescomplemented
219#2367C2212yescomplemented
220#2367C2212yescomplemented
221#2367C2212yescomplemented
222#2367C2212yescomplemented
223#2366C2212yes—
224#2366C2212yes—
225#2366C2212yes—
226#2366C2212yes—
227#2363C2212yescomplemented
228#2363C2212yescomplemented
229#2363C2212yescomplemented
230#2363C2212yescomplemented
231#2362C2212yes—
232#2361C2214yescomplemented
233#2359C2214yescomplemented
234#2358C2214yes—
235#2357C2212yescomplemented
236#2357C2212yescomplemented
237#2357C2212yescomplemented
238#2355C2212yescomplemented
239#2354C2212yes—
240#2349C2212yescomplemented
241#2349C2212yescomplemented
242D4×C4⋊C4C2212yescomplemented
243D4×C4⋊C4C2212yescomplemented
244#2347C2212yescomplemented
245#2342C2214yes—
246#2341C2212yescomplemented
247#2339C2212yescomplemented
248#2339C2212yescomplemented
249#2339C2212yescomplemented
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2212yes—
258#2328C2212yes—
259#2328C2212yes—
260#2326C2212yescomplemented
261#2325C2214yescomplemented
262#2324C2212yescomplemented
263#2324C2212yescomplemented
264#2323C2212yes—
265#2321C2214yes—
266#2320C2212yescomplemented
267#2319C2212yescomplemented
268#2309C2212yes—
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#125C2211yescharacteristic, complemented
280C4×#125C2211yescharacteristic, complemented
281C4×#126C2211yescharacteristic
282C4×#126C2211yescharacteristic
283C4×#126C2211yescharacteristic, complemented
284C4×#126C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2212yescomplemented
288C4×#124C2212yescomplemented
289C4×#124C2212yescomplemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×C22⋊Q8C2211yescharacteristic, complemented
292C4×#123C2211yescharacteristic
293C4×#123C2211yescharacteristic
294C4×#123C2211yescharacteristic, complemented
295C4×#123C2214yescomplemented
296C4×#123C2211yescharacteristic, complemented
297C4×#121C2211yescharacteristic
298C4×#121C2211yescharacteristic
299C4×#121C2212yescomplemented
300C4×#121C2212yescomplemented
301C4×#121C2212yescomplemented
302C4×#121C2212yescomplemented
303C4×#121C2212yescomplemented
304C4×#121C2212yescomplemented
305#2298C2211yescharacteristic
306#2298C2211yescharacteristic, complemented
307#2297C2212yescomplemented
308#2295C2211yescharacteristic, complemented
309#2293C2211yescharacteristic
310#2293C2212yescomplemented
311#2293C2212yescomplemented
312#2293C2212yescomplemented
313#2293C2212yescomplemented
314#2290C2211yescharacteristic
315#2290C2211yescharacteristic, complemented
316C2×#388C2214yes—
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic, complemented
319#2285C2211yescharacteristic, complemented
320#2283C2211yescharacteristic, complemented
321#2275C2212yescomplemented
322C42×Q8C2211yescharacteristic, complemented
323C42×D4C2211yescharacteristic
324C42×D4C2211yescharacteristic
325C42×D4C2211yescharacteristic, complemented
326C42×D4C2212yescomplemented
327C42×D4C2212yescomplemented
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic, complemented
330C2×C43C2211yescharacteristic, complemented
331C22×#41C2312yes—
332C22×#41C2312yes—
333C23×D4C2312yes—
334C23×D4C2312yes—
335C23×D4C2312yes—
336#554—48no—
337#546—216no—
338#546—48no—
339#542—48no—
340#532—28no—
341#532—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×#127—28no—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2311yescharacteristic
353#529—28no—
354#529—48no—
355C2×#126C2311yescharacteristic
356C2×#126C2311yescharacteristic
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#123C2314yes—
371C2×#123C2311yescharacteristic
372C2×#123C2311yescharacteristic
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2311yescharacteristic
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400#518—48no—
401C4×#41—48no—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2312yes—
450C2×#117C2314yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2314yes—
454C22×C4⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2314yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2314yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469#401C2314yes—
470#401C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#399C2314yes—
480#398C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#388C2311yescharacteristic
622#388C2311yescharacteristic
623#388C2311yescharacteristic
624#388C2311yescharacteristic
625#388C2311yescharacteristic
626#388C2311yescharacteristic
627#388C2311yescharacteristic
628#388C2311yescharacteristic
629#388C2311yescharacteristic
630#388C2311yescharacteristic
631#388C2311yescharacteristic
632#388C2311yescharacteristic
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2311yescharacteristic
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2311yescharacteristic
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2311yescharacteristic
670#388C2314yes—
671#388C2314yes—
672#388C2311yescharacteristic
673#387C2311yescharacteristic
674#387C2311yescharacteristic
675#387C2311yescharacteristic
676#387C2311yescharacteristic
677#387C2311yescharacteristic
678#387C2311yescharacteristic
679#387C2311yescharacteristic
680#387C2311yescharacteristic
681#387C2311yescharacteristic
682#387C2311yescharacteristic
683#387C2311yescharacteristic
684#387C2311yescharacteristic
685#387C2311yescharacteristic
686#387C2311yescharacteristic
687#387C2311yescharacteristic
688#387C2311yescharacteristic
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2311yescharacteristic
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2311yescharacteristic
724#386C2314yes—
725#386C2311yescharacteristic
726#386C2314yes—
727#386C2314yes—
728#386C2311yescharacteristic
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2311yescharacteristic
740#385C2314yes—
741#385C2314yes—
742#385C2311yescharacteristic
743#385C2311yescharacteristic
744#385C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#383C2311yescharacteristic
753#383C2311yescharacteristic
754#383C2314yes—
755#383C2314yes—
756#382C2311yescharacteristic
757#382C2311yescharacteristic
758#382C2314yes—
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2314yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2311yescharacteristic
773#381C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2312yes—
794#379C2314yes—
795#379C2314yes—
796#379C2314yes—
797#379C2314yes—
798#379C2314yes—
799#379C2314yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2314yes—
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2314yes—
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2314yes—
880C4×C22⋊C4C2314yes—
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885C2×#95C2314yes—
886C2×#95C2314yes—
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C43C2311yescharacteristic
895C43C2311yescharacteristic
896C43C2311yescharacteristic
897C25C2414yes—
898C2×#41—28no—
899C2×#41—28no—
900C2×#41—28no—
901C2×#41—44no—
902C2×#41—44no—
903C2×#41—44no—
904C22×Q8C2412yes—
905C22×Q8C2412yes—
906C22×Q8C2411yescharacteristic
907C22×Q8C2414yes—
908C22×D4—28no—
909C22×D4—28no—
910C22×D4—28no—
911C22×D4—28no—
912C22×D4—44no—
913C22×D4—44no—
914C22×D4—44no—
915C22×D4—44no—
916C22×D4—44no—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2411yescharacteristic
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2411yescharacteristic
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2414yes—
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2414yes—
946C23×C4C2414yes—
947C23×C4C2414yes—
948C23×C4C2414yes—
949C23×C4C2414yes—
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2414yes—
953C23×C4C2414yes—
954C4⋊Q8—24no—
955C4⋊Q8—24no—
956C4⋊Q8—44no—
957C4⋊Q8—44no—
958C4⋊Q8—44no—
959#127—28no—
960#127—28no—
961#127—28no—
962#127—24no—
963#127#4118yes—
964#126—24no—
965#126—24no—
966#126—48no—
967#126—48no—
968#125—24no—
969#125—28no—
970#125—44no—
971#124—28no—
972#124—28no—
973#124—24no—
974#124—28no—
975#124—28no—
976#124—48no—
977#124—44no—
978#124—44no—
979#123—24no—
980#123—216no—
981#123—24no—
982#123—48no—
983#123—48no—
984#123—48no—
985C22⋊Q8—28no—
986C22⋊Q8—24no—
987C22⋊Q8—48no—
988C22⋊Q8—48no—
989C22⋊Q8—48no—
990C22⋊Q8—48no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994#121—24no—
995#121—28no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—216no—
1001#121—48no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#120—216no—
1008#120—48no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—24no—
1012C4×Q8—42no—
1013C4×Q8—44no—
1014C4×Q8—44no—
1015C4×Q8—44no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—42no—
1042C4×D4—42no—
1043C4×D4—42no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—48no—
1047C4×D4—48no—
1048C4×D4—48no—
1049C4×D4—48no—
1050C4×D4—48no—
1051C4×D4#4118yescomplemented
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117—24no—
1056#117—48no—
1057#117—48no—
1058#117—44no—
1059#117—44no—
1060#117—44no—
1061C2×C4⋊C4—48no—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C22⋊C4—216no—
1120C2×C22⋊C4—48no—
1121C2×C22⋊C4—48no—
1122C2×C22⋊C4—48no—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C42—24no—
1193C2×C42—24no—
1194C2×C42—24no—
1195C2×C42—24no—
1196C2×C42—24no—
1197C2×C42—24no—
1198C2×C42—48no—
1199C2×C42—42no—
1200C2×C42—42no—
1201C2×C42—42no—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2414yes—
1283#95C2414yes—
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2414yes—
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2411yescharacteristic
1293#95C2414yes—
1294#95C2411yescharacteristic
1295#95C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2414yes—
1298#95C2414yes—
1299#95C2411yescharacteristic
1300#95C2411yescharacteristic
1301#95C2411yescharacteristic
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2411yescharacteristic
1308#95C2411yescharacteristic
1309#95C2411yescharacteristic
1310#95C2411yescharacteristic
1311#95C2411yescharacteristic
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325C24—28no—
1326C24—28no—
1327C24—44no—
1328C24—44no—
1329C24—44no—
1330C24—44no—
1331C24—44no—
1332C24C2514yes—
1333C24C2511yescharacteristic
1334C24C2511yescharacteristic
1335C24C2514yes—
1336C24C2511yescharacteristic
1337#41—432no—
1338#41—816no—
1339C2×Q8—22no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—41no—
1348C2×Q8—44no—
1349C2×Q8—44no—
1350C2×Q8—44no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—432no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—816no—
1397C2×D4—816no—
1398C2×D4C2×#4118yes—
1399C2×D4C2×#4118yes—
1400C2×D4C2×#4118yes—
1401C2×D4C2×#4114yes—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—28no—
1409C22×C4—28no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—28no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—28no—
1439C22×C4—28no—
1440C22×C4—44no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—44no—
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—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4C2×#4114yes—
1464C22×C4C2×#4114yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2514yes—
1475C22×C4C2514yes—
1476C22×C4C2514yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2514yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2514yes—
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—28no—
1514C4⋊C4—22no—
1515C4⋊C4—28no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—41no—
1541C4⋊C4—41no—
1542C4⋊C4—41no—
1543C4⋊C4—41no—
1544C4⋊C4—41no—
1545C4⋊C4—41no—
1546C4⋊C4—41no—
1547C4⋊C4—41no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4C2×#4114yes—
1556C22⋊C4—28no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—28no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—28no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—22no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—41no—
1604C22⋊C4—41no—
1605C22⋊C4—41no—
1606C22⋊C4—41no—
1607C22⋊C4—41no—
1608C22⋊C4—41no—
1609C22⋊C4—41no—
1610C22⋊C4—41no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4C2×#4114yes—
1624C22⋊C4C2×#4114yes—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—28no—
1646C42—22no—
1647C42—22no—
1648C42—22no—
1649C42—22no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—41no—
1663C42—41no—
1664C42—41no—
1665C42—41no—
1666C42—41no—
1667C42—41no—
1668C42—44no—
1669C42—44no—
1670C42—44no—
1671C42—44no—
1672C42—44no—
1673C42—44no—
1674C42C2×#4114yes—
1675C42C2×#4114yes—
1676C42H(5,𝔽2)14yes—
1677C42H(5,𝔽2)14yes—
1678C23—24no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—24no—
1684C23—24no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—24no—
1690C23—24no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—24no—
1695C23—21no—
1696C23—21no—
1697C23—24no—
1698C23—21no—
1699C23—24no—
1700C23—21no—
1701C23—24no—
1702C23—24no—
1703C23—21no—
1704C23—21no—
1705C23—24no—
1706C23—24no—
1707C23—24no—
1708C23—21no—
1709C23—21no—
1710C23—416no—
1711C23—88no—
1712C23—88no—
1713C23—88no—
1714C23—88no—
1715C23—164no—
1716C23—164no—
1717C23C22×#4112yes—
1718C23C22×#4118yes—
1719C23C22×#4112yes—
1720C23C2611yescharacteristic
1721Q8—44no—
1722Q8—48no—
1723Q8—48no—
1724Q8—164no—
1725D4—216no—
1726D4—216no—
1727D4—216no—
1728D4—44no—
1729D4—44no—
1730D4—416no—
1731D4—416no—
1732D4—44no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—88no—
1737D4—88no—
1738D4—88no—
1739D4—88no—
1740D4—164no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—28no—
1758C2×C4—28no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—21no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—21no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—24no—
1821C2×C4—21no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—416no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—88no—
1841C2×C4—88no—
1842C2×C4—88no—
1843C2×C4—88no—
1844C2×C4—88no—
1845C2×C4—164no—
1846C2×C4—164no—
1847C2×C4C22×#4112yes—
1848C2×C4C22×#4112yes—
1849C2×C4C22×#4112yes—
1850C2×C4C22×#4112yes—
1851C2×C4C22×#4112yes—
1852C2×C4C22×#4112yes—
1853C2×C4C22×#4112yes—
1854C2×C4C22×#4112yes—
1855C2×C4C2×H(5,𝔽2)12yes—
1856C2×C4C2×H(5,𝔽2)12yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4#58512yes—
1862C2×C4#58512yes—
1863C2×C4#58512yes—
1864C22—28no—
1865C22—28no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—28no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—44no—
1878C22—44no—
1879C22—41no—
1880C22—44no—
1881C22—41no—
1882C22—41no—
1883C22—44no—
1884C22—41no—
1885C22—41no—
1886C22—44no—
1887C22—41no—
1888C22—44no—
1889C22—41no—
1890C22—44no—
1891C22—41no—
1892C22—44no—
1893C22—44no—
1894C22—41no—
1895C22—44no—
1896C22—41no—
1897C22—41no—
1898C22—44no—
1899C22—1616no—
1900C22C23×#4111yescharacteristic
1901C22C23×#4111yescharacteristic
1902C22C22×H(5,𝔽2)11yescharacteristic
1903C22C22×H(5,𝔽2)11yescharacteristic
1904C22C2×#58511yescharacteristic
1905C22C2×#58511yescharacteristic
1906C22C2×#58511yescharacteristic
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—44no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—44no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—44no—
1929C4—44no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4—44no—
1935C4—41no—
1936C4—41no—
1937C4—44no—
1938C4#348114yes—
1939C4#351414yes—
1940C4#352114yes—
1941C2—42no—
1942C2—48no—
1943C2—42no—
1944C2—81no—
1945C2—84no—
1946C2C2×#348111yescharacteristic
1947C2C2×#351411yescharacteristic
1948C2C2×#352111yescharacteristic
1949C2#6280011yescharacteristic
1950C2#6281511yescharacteristic
1951C2#6283411yescharacteristic
1952C2#6283611yescharacteristic
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. #59764C2semidirect
2. #59562C2semidirect
3. #59484C2semidirect
4. #59483C2semidirect
5. #59394C2semidirect
6. #59378C2semidirect
7. #59083C2semidirect
8. #59038C2semidirect
9. #40173C2semidirect
10. #40169C2semidirect
11. #40149C2semidirect
12. #40145C2semidirect
13. #39284C2semidirect
14. #39070C2semidirect
15. #38062C2semidirect
16. #38034C2semidirect
17. #36631C2semidirect
18. #36609C2semidirect
19. #36559C2semidirect
20. #36527C2semidirect
21. #36462C2semidirect
22. #36240C2semidirect
23. #36238C2semidirect
24. #36211C2semidirect
25. #36210C2semidirect
26. #36194C2semidirect
27. #36149C2semidirect
28. #36121C2semidirect
29. #36121C2semidirect
30. #35615C2semidirect
31. #35611C2semidirect
32. #35291C2semidirect
33. #35277C2semidirect
34. #35195C2semidirect
35. #34292C2semidirect
36. #34226C2semidirect
37. #34210C2semidirect
38. C4×#532C2semidirect
39. C4×#529C2semidirect
40. C2×#554C22semidirect
43. C2×#542C22semidirect
48. C2×#529C22semidirect
50. C2×C4×#41C22semidirect
51. #2868C22semidirect
52. #2862C22semidirect
53. #2861C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2859C22semidirect
57. #2859C22semidirect
62. #2857C22semidirect
63. #2857C22semidirect
66. #2854C22semidirect
67. #2854C22semidirect
68. #2852C22semidirect
69. #2850C22semidirect
70. #2850C22semidirect
71. #2779C22semidirect
72. #2778C22semidirect
73. #2760C22semidirect
74. #2753C22semidirect
75. #2751C22semidirect
76. #2750C22semidirect
77. #2749C22semidirect
78. #2740C22semidirect
81. #2703C22semidirect
83. #2696C22semidirect
84. #2693C22semidirect
85. #2681C22semidirect
87. #2645C22semidirect
88. #2640C22semidirect
89. #2636C22semidirect
90. #2631C22semidirect
92. #2620C22semidirect
93. #2602C22semidirect
94. #2595C22semidirect
95. #2592C22semidirect
96. #2592C22semidirect
97. #2591C22semidirect
98. #2580C22semidirect
99. #2578C22semidirect
100. #2576C22semidirect
101. #2576C22semidirect
102. #2576C22semidirect
103. #2572C22semidirect
104. #2571C22semidirect
105. #2566C22semidirect
106. #2566C22semidirect
108. #2563C22semidirect
112. #2560C22semidirect
113. #2559C22semidirect
114. #2558C22semidirect
115. #2554C22semidirect
119. #2538C22semidirect
120. #2538C22semidirect
121. #2535C22semidirect
122. #2535C22semidirect
123. #2518C22semidirect
124. #2518C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2513C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2512C22semidirect
132. #2512C22semidirect
133. #2510C22semidirect
134. #2510C22semidirect
135. #2509C22semidirect
136. #2509C22semidirect
137. #2508C22semidirect
139. #2497C22semidirect
144. #2494C22semidirect
146. #2492C22semidirect
147. #2491C22semidirect
148. #2491C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
152. #2488C22semidirect
153. #2488C22semidirect
155. #2481C22semidirect
159. #2477C22semidirect
160. #2477C22semidirect
163. #2471C22semidirect
164. #2470C22semidirect
165. #2466C22semidirect
166. #2463C22semidirect
167. #2459C22semidirect
168. #2456C22semidirect
169. #2453C22semidirect
170. #2452C22semidirect
171. #2452C22semidirect
172. #2452C22semidirect
173. #2452C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2448C22semidirect
177. #2448C22semidirect
178. #2447C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
187. #2439C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
201. #2421C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
207. #2415C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
215. #2407C22semidirect
216. #2407C22semidirect
217. #2370C22semidirect
218. #2369C22semidirect
219. #2367C22semidirect
220. #2367C22semidirect
221. #2367C22semidirect
222. #2367C22semidirect
227. #2363C22semidirect
228. #2363C22semidirect
229. #2363C22semidirect
230. #2363C22semidirect
232. #2361C22semidirect
233. #2359C22semidirect
235. #2357C22semidirect
236. #2357C22semidirect
237. #2357C22semidirect
238. #2355C22semidirect
240. #2349C22semidirect
241. #2349C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2347C22semidirect
246. #2341C22semidirect
247. #2339C22semidirect
248. #2339C22semidirect
249. #2339C22semidirect
260. #2326C22semidirect
261. #2325C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
266. #2320C22semidirect
267. #2319C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
279. C4×#125C22semidirect
280. C4×#125C22semidirect
283. C4×#126C22semidirect
284. C4×#126C22semidirect
287. C4×#124C22semidirect
288. C4×#124C22semidirect
289. C4×#124C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
294. C4×#123C22semidirect
295. C4×#123C22semidirect
296. C4×#123C22semidirect
299. C4×#121C22semidirect
300. C4×#121C22semidirect
301. C4×#121C22semidirect
302. C4×#121C22semidirect
303. C4×#121C22semidirect
304. C4×#121C22semidirect
306. #2298C22semidirect
307. #2297C22semidirect
308. #2295C22semidirect
310. #2293C22semidirect
311. #2293C22semidirect
312. #2293C22semidirect
313. #2293C22semidirect
315. #2290C22semidirect
318. #2285C22semidirect
319. #2285C22semidirect
320. #2283C22semidirect
321. #2275C22semidirect
322. C42×Q8C22semidirect
325. C42×D4C22semidirect
326. C42×D4C22semidirect
327. C42×D4C22semidirect
329. C4×#117C22semidirect
330. C2×C43C22semidirect
1051. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#597642
#595622
#594842
#594832
#593942
#593782
#590832
#590382
#401732
#401692
#401492
#401452
#392842
#390702
#380622
#380342
#366312
#366092
#365592
#365272
#364622
#362402
#362382
#362112
#362102
#361942
#361492
#361212
#356152
#356112
#352912
#352772
#351952
#342922
#342262
#342102
C4×#5322
C4×#5292