Finite Group Databasebeta

← #7686454

Subgroups — #7686454

Order 512.

8015 conjugacy classes of subgroups.

The subgroup lattice has 1998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C212yesmaximal, complemented
2#59808C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59476C212yesmaximal, complemented
5#59313C211yesmaximal, characteristic, complemented
6#59304C211yesmaximal, characteristic, complemented
7#59273C212yesmaximal, complemented
8#59122C214yesmaximal, complemented
9#59015C212yesmaximal, complemented
10#44973C212yesmaximal, complemented
11#44899C212yesmaximal, complemented
12#44776C214yesmaximal, complemented
13#44453C214yesmaximal, complemented
14#39406C212yesmaximal, complemented
15#39402C212yesmaximal, complemented
16#39369C211yesmaximal, characteristic, complemented
17#39342C211yesmaximal, characteristic, complemented
18#38362C214yesmaximal, complemented
19#37839C212yesmaximal, complemented
20#36596C211yesmaximal, characteristic, complemented
21#36517C212yesmaximal, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36260C212yesmaximal, complemented
24#36187C211yesmaximal, characteristic, complemented
25#36179C211yesmaximal, characteristic, complemented
26#36126C212yesmaximal, complemented
27D4×#121C211yesmaximal, characteristic, complemented
28#36087C212yesmaximal, complemented
29#36022C212yesmaximal, complemented
30#34763C212yesmaximal, complemented
31#34681C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36#3494—232no—
37C2×#555C2212yescomplemented
38C2×#555C2212yescomplemented
39C2×#553C2211yescharacteristic
40C2×#553C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#551C2214yescomplemented
44C2×#551C2214yescomplemented
45C2×#547C2212yes—
46C2×#547C2212yescomplemented
47C2×#547C2212yescomplemented
48C2×#547C2212yescomplemented
49C2×#547C2212yescomplemented
50C2×#546C2214yescomplemented
51C2×#546C2214yescomplemented
52C2×#546C2214yescomplemented
53C2×D42C2211yescharacteristic
54C2×D42C2212yes—
55C2×#544C2212yescomplemented
56C2×#542C2214yescomplemented
57C2×#540C2214yescomplemented
58C2×#535C2212yescomplemented
59C2×#532C2211yescharacteristic
60C2×#532C2214yescomplemented
61C2×#529C2214yescomplemented
62C2×#525C2212yescomplemented
63C22×#121C2212yes—
64C2×#520C2212yescomplemented
65C2×#518C2212yescomplemented
66C22×C4×D4C2211yescharacteristic
67C22×#117C2212yescomplemented
68#2868C2211yescharacteristic, complemented
69#2858C2212yescomplemented
70#2856C2211yescharacteristic
71#2856C2212yescomplemented
72#2856C2211yescharacteristic, complemented
73#2856C2212yescomplemented
74#2854C2214yescomplemented
75#2847C2212yes—
76#2723C2214yescomplemented
77#2720C2214yescomplemented
78#2718C2214yescomplemented
79#2714C2214yescomplemented
80#2711C2214yescomplemented
81#2710C2214yescomplemented
82#2706C2214yescomplemented
83#2703C2214yescomplemented
84#2696C2214yescomplemented
85#2692C2214yescomplemented
86#2685C2214yescomplemented
87#2681C2214yescomplemented
88#2680C2214yescomplemented
89#2678C2214yescomplemented
90#2677C2214yescomplemented
91#2674C2214yescomplemented
92#2673C2214yescomplemented
93#2672C2214yescomplemented
94#2671C2214yescomplemented
95#2670C2214yescomplemented
96#2669C2214yescomplemented
97#2635C2214yescomplemented
98#2632C2214yescomplemented
99#2628C2212yescomplemented
100#2615C2212yescomplemented
101#2610C2214yescomplemented
102#2598C2214yescomplemented
103#2563C2212yescomplemented
104#2555C2214yescomplemented
105#2554C2214yescomplemented
106#2552C2211yescharacteristic, complemented
107#2551C2212yescomplemented
108#2551C2211yescharacteristic, complemented
109#2543C2214yescomplemented
110#2542C2212yes—
111#2542C2212yescomplemented
112#2542C2212yescomplemented
113#2542C2212yescomplemented
114#2541C2211yescharacteristic
115#2541C2212yescomplemented
116#2541C2212yescomplemented
117#2541C2211yescharacteristic, complemented
118#2540C2214yescomplemented
119#2540C2214yescomplemented
120#2539C2214yescomplemented
121#2539C2214yescomplemented
122#2539C2214yescomplemented
123#2539C2214yescomplemented
124#2537C2211yescharacteristic
125#2537C2212yescomplemented
126#2537C2211yescharacteristic, complemented
127#2535C2212yescomplemented
128#2534C2214yescomplemented
129#2521C2214yescomplemented
130#2519C2214yescomplemented
131#2512C2212yescomplemented
132#2512C2212yescomplemented
133#2506C2212yescomplemented
134#2501C2212yescomplemented
135#2501C2212yescomplemented
136#2501C2212yescomplemented
137#2501C2212yescomplemented
138#2501C2212yescomplemented
139#2501C2212yescomplemented
140#2501C2212yescomplemented
141#2500C2214yescomplemented
142#2496C2212yescomplemented
143#2491C2212yescomplemented
144#2491C2212yescomplemented
145#2491C2212yescomplemented
146#2491C2214yescomplemented
147#2491C2212yescomplemented
148#2491C2212yescomplemented
149#2490C2212yescomplemented
150#2488C2214yescomplemented
151#2487C2212yescomplemented
152#2486C2212yescomplemented
153#2486C2212yescomplemented
154#2482C2214yescomplemented
155#2479C2214yescomplemented
156#2479C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2212yescomplemented
159#2472C2214yescomplemented
160#2471C2214yescomplemented
161#2471C2214yescomplemented
162#2464C2212yescomplemented
163#2464C2214yescomplemented
164#2464C2214yescomplemented
165#2463C2214yescomplemented
166#2461C2214yescomplemented
167#2461C2214yescomplemented
168#2461C2212yescomplemented
169#2461C2214yescomplemented
170#2461C2214yescomplemented
171#2456C2214yescomplemented
172#2452C2212yes—
173#2452C2214yescomplemented
174#2452C2211yescharacteristic, complemented
175#2445C2211yescharacteristic
176#2445C2214yescomplemented
177#2445C2212yescomplemented
178#2445C2212yescomplemented
179#2443C2214yescomplemented
180#2441C2212yescomplemented
181#2441C2212yescomplemented
182#2440C2211yescharacteristic, complemented
183#2440C2212yescomplemented
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2437C2214yescomplemented
187#2433C2212yes—
188#2433C2211yescharacteristic
189#2430C2214yescomplemented
190#2430C2214yescomplemented
191#2428C2212yes—
192#2428C2211yescharacteristic, complemented
193#2428C2212yescomplemented
194#2425C2214yescomplemented
195#2424C2214yes—
196#2424C2212yescomplemented
197#2422C2211yescharacteristic
198#2422C2212yescomplemented
199#2422C2212yescomplemented
200#2422C2212yescomplemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2416C2212yes—
204#2416C2212yes—
205#2416C2211yescharacteristic, complemented
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2410C2214yes—
213#2408C2212yes—
214#2408C2211yescharacteristic
215#2408C2212yes—
216#2408C2212yescomplemented
217#2406C2214yescomplemented
218#2405C2214yescomplemented
219#2404C2214yescomplemented
220#2396C2214yescomplemented
221#2395C2214yescomplemented
222#2392C2212yescomplemented
223#2388C2212yescomplemented
224#2374C2212yescomplemented
225#2373C2212yescomplemented
226#2370C2211yescharacteristic, complemented
227#2366C2211yescharacteristic, complemented
228#2366C2212yescomplemented
229#2364C2212yescomplemented
230#2363C2212yescomplemented
231#2363C2211yescharacteristic, complemented
232#2363C2212yescomplemented
233#2363C2212yescomplemented
234#2361C2211yescharacteristic
235#2361C2212yes—
236#2361C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2214yescomplemented
239#2358C2214yescomplemented
240#2357C2211yescharacteristic, complemented
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic, complemented
245#2354C2211yescharacteristic, complemented
246#2354C2212yescomplemented
247#2354C2214yescomplemented
248#2354C2212yescomplemented
249#2354C2212yescomplemented
250#2354C2211yescharacteristic, complemented
251#2354C2212yescomplemented
252#2354C2212yescomplemented
253#2353C2212yescomplemented
254#2352C2211yescharacteristic, complemented
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic, complemented
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2211yescharacteristic, complemented
259D4×C4⋊C4C2212yescomplemented
260#2347C2211yescharacteristic, complemented
261#2345C2211yescharacteristic, complemented
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yescomplemented
265#2326C2214yescomplemented
266#2324C2212yescomplemented
267#2321C2214yescomplemented
268#2311C2212yescomplemented
269C4×C4⋊Q8C2212yescomplemented
270C4×#127C2212yes—
271C4×#127C2211yescharacteristic, complemented
272C4×#127C2211yescharacteristic, complemented
273C4×#125C2211yescharacteristic, complemented
274C4×#126C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#123C2214yescomplemented
277C4×#121C2211yescharacteristic
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2211yescharacteristic, complemented
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284C4×#120C2212yescomplemented
285#2293C2211yescharacteristic
286#2293C2212yescomplemented
287C2×#390C2212yes—
288C2×#390C2212yes—
289C2×#388C2214yescomplemented
290#2285C2212yescomplemented
291C2×#384C2211yescharacteristic, complemented
292C2×#384C2211yescharacteristic, complemented
293C2×#380C2212yescomplemented
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2212yescomplemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2314yes—
303C23×D4C2312yes—
304C23×D4C2311yescharacteristic
305C23×D4C2312yes—
306C23×D4C2314yes—
307C24×C4C2312yes—
308#555—216no—
309#555—216no—
310#553—216no—
311#553—216no—
312#553—216no—
313#553D4116yescomplemented
314#551—232no—
315#551—232no—
316#547—216no—
317#547—216no—
318#547—48no—
319#547—48no—
320#547—48no—
321#546—232no—
322#546—232no—
323#546—416no—
324D42—28no—
325D42—48no—
326#544—216no—
327#542—232no—
328#540—232no—
329#535—216no—
330#532—232no—
331#532—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×#127C2311yescharacteristic
340C2×#127C2311yescharacteristic
341C2×#127C2314yes—
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2312yes—
345#529—232no—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#125C2314yes—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2314yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360#525—216no—
361C2×#123C2314yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×#121—216no—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#121C2311yescharacteristic
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#120C2314yes—
427C2×#120C2312yes—
428C2×#120C2314yes—
429C2×#120C2312yes—
430C2×#120C2314yes—
431C2×#120C2312yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435#520—216no—
436#518—216no—
437C2×C4×Q8C2314yes—
438C2×C4×D4—28no—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×#117—216no—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2314yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2314yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2314yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2314yes—
509C22×C22⋊C4C2314yes—
510C22×C42C2314yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2312yes—
514C22×C42C2312yes—
515#400C2314yes—
516#400C2314yes—
517#399C2314yes—
518#399C2314yes—
519#399C2314yes—
520#399C2314yes—
521#399C2314yes—
522#399C2314yes—
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#397C2312yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#396C2312yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2314yes—
577#393C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2312yes—
586#392C2312yes—
587#392C2312yes—
588#392C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#391C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2311yescharacteristic
750#384C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#383C2312yes—
758#382C2311yescharacteristic
759#382C2314yes—
760#381C2312yes—
761#381C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2312yes—
785#379C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837#376C2312yes—
838C2×#95C2312yes—
839C2×#95C2314yes—
840C43C2312yes—
841C43C2311yescharacteristic
842C25C2412yes—
843C25C2414yes—
844C2×#41—216no—
845C2×#41—216no—
846C2×#41—28no—
847C2×#41—28no—
848C2×#41—44no—
849C2×#41—48no—
850C2×#41—48no—
851C2×#41—48no—
852C2×#41—48no—
853C22×Q8C2412yes—
854C22×Q8C2414yes—
855C22×Q8C2414yes—
856C22×D4—28no—
857C22×D4—24no—
858C22×D4—216no—
859C22×D4—28no—
860C22×D4—28no—
861C22×D4—24no—
862C22×D4—42no—
863C22×D4—44no—
864C22×D4—44no—
865C22×D4—44no—
866C22×D4—48no—
867C22×D4—48no—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C23×C4—28no—
898C23×C4—28no—
899C23×C4—44no—
900C23×C4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C4⋊Q8—216no—
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—28no—
928C4⋊Q8—44no—
929C4⋊Q8—44no—
930C4⋊Q8—44no—
931#127—216no—
932#127—24no—
933#127—24no—
934#127—42no—
935#127—44no—
936#127—44no—
937#126—216no—
938#126—216no—
939#126—216no—
940#126C2×D4116yescomplemented
941#125—216no—
942#125—28no—
943#125C2×D418yescomplemented
944#124—216no—
945#124—216no—
946#124—216no—
947#124—216no—
948#124—28no—
949#124—216no—
950#124—48no—
951#123—216no—
952#123—28no—
953#123—216no—
954#123—216no—
955#123—28no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—48no—
962#123—48no—
963#123—48no—
964#123—48no—
965#123—48no—
966#123—48no—
967#123C2×D4116yescomplemented
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—48no—
975C22⋊Q8—48no—
976C22⋊Q8—48no—
977C22⋊Q8—48no—
978#121—216no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—216no—
983#121—24no—
984#121—28no—
985#121—216no—
986#121—28no—
987#121—216no—
988#121—28no—
989#121—28no—
990#121—24no—
991#121—28no—
992#121—28no—
993#121—216no—
994#121—24no—
995#121—28no—
996#121—216no—
997#121—28no—
998#121—216no—
999#121—28no—
1000#121—44no—
1001#121—48no—
1002#121—48no—
1003#121—44no—
1004#121—44no—
1005#121—42no—
1006#121—44no—
1007#121—48no—
1008#121—44no—
1009#121—44no—
1010#121—48no—
1011#121—44no—
1012#121C2×D418yes—
1013#121C2×D4116yescomplemented
1014#121C2×D418yescomplemented
1015#120—28no—
1016#120—216no—
1017#120—28no—
1018#120—216no—
1019#120—216no—
1020#120—28no—
1021#120—48no—
1022#120—48no—
1023#120—48no—
1024C4×Q8—216no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—24no—
1028C4×D4—216no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—216no—
1038C4×D4—24no—
1039C4×D4—216no—
1040C4×D4—216no—
1041C4×D4—216no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—42no—
1054C4×D4—44no—
1055C4×D4—48no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4C2×D418yescomplemented
1061C4×D4C2×D418yescomplemented
1062C4×D4C2×D4116yescomplemented
1063C4×D4#4118yescomplemented
1064#117—216no—
1065#117—28no—
1066#117—28no—
1067#117—216no—
1068#117—216no—
1069#117—28no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—216no—
1074#117—42no—
1075#117C2×D418yescomplemented
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—24no—
1082C2×C4⋊C4—42no—
1083C2×C4⋊C4—44no—
1084C2×C4⋊C4—44no—
1085C2×C4⋊C4—44no—
1086C2×C4⋊C4—44no—
1087C2×C4⋊C4C2×D418yescomplemented
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4—216no—
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4—216no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—48no—
1151C2×C22⋊C4—48no—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2411yescharacteristic
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2411yescharacteristic
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2411yescharacteristic
1228C2×C42—216no—
1229C2×C42—24no—
1230C2×C42—24no—
1231C2×C42—44no—
1232C2×C42—44no—
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2412yes—
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2412yes—
1286#95C2411yescharacteristic
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305C24—24no—
1306C24—24no—
1307C24—24no—
1308C24—24no—
1309C24—28no—
1310C24—28no—
1311C24—42no—
1312C24—42no—
1313C24—42no—
1314C24—44no—
1315C24—44no—
1316C24—44no—
1317C24—44no—
1318C24—44no—
1319C24C2512yes—
1320C24C2514yes—
1321C24C2512yes—
1322C24C2512yes—
1323C24C2511yescharacteristic
1324C24C2512yes—
1325C24C2511yescharacteristic
1326#41—432no—
1327#41—832no—
1328#41—832no—
1329C2×Q8—24no—
1330C2×Q8—28no—
1331C2×Q8—28no—
1332C2×Q8—24no—
1333C2×Q8—42no—
1334C2×Q8—44no—
1335C2×Q8—44no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—28no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—432no—
1387C2×D4—416no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—816no—
1423C2×D4—832no—
1424C2×D4C22×D414yes—
1425C2×D4C22×D414yes—
1426C2×D4C22×D418yes—
1427C2×D4C22×D418yes—
1428C2×D4C2×#4114yes—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—28no—
1439C22×C4—24no—
1440C22×C4—28no—
1441C22×C4—28no—
1442C22×C4—22no—
1443C22×C4—28no—
1444C22×C4—28no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—28no—
1466C22×C4—28no—
1467C22×C4—28no—
1468C22×C4—28no—
1469C22×C4—24no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—41no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—41no—
1479C22×C4—432no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—44no—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C22×D418yes—
1499C22×C4C22×D418yes—
1500C22×C4C2×#4118yes—
1501C22×C4H(5,𝔽2)14yes—
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2514yes—
1513C22×C4C2514yes—
1514C22×C4C2512yes—
1515C22×C4C2514yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—28no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—28no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—28no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—28no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4C22×D414yes—
1580C4⋊C4C22×D414yes—
1581C4⋊C4C22×D414yes—
1582C4⋊C4C22×D418yes—
1583C4⋊C4C22×D418yes—
1584C4⋊C4C22×D418yes—
1585C4⋊C4C22×D414yes—
1586C4⋊C4C2×#4114yes—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—22no—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—22no—
1624C22⋊C4—22no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4C22×D418yes—
1656C22⋊C4C22×D418yes—
1657C22⋊C4C22×D418yes—
1658C22⋊C4C22×D414yes—
1659C22⋊C4C22×D418yes—
1660C22⋊C4C22×D414yes—
1661C22⋊C4C2×#4118yes—
1662C22⋊C4H(5,𝔽2)14yes—
1663C42—28no—
1664C42—28no—
1665C42—28no—
1666C42—28no—
1667C42—28no—
1668C42—24no—
1669C42—22no—
1670C42—22no—
1671C42—22no—
1672C42—22no—
1673C42—22no—
1674C42—22no—
1675C42—24no—
1676C42—24no—
1677C42—22no—
1678C42—22no—
1679C42—24no—
1680C42—22no—
1681C42—24no—
1682C42—22no—
1683C42—42no—
1684C42—42no—
1685C42—42no—
1686C42—42no—
1687C42—42no—
1688C42—41no—
1689C42—42no—
1690C42C22×D418yes—
1691C42C22×D414yes—
1692C42C2×#4114yes—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—21no—
1700C23—22no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—21no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—24no—
1721C23—24no—
1722C23—22no—
1723C23—22no—
1724C23—24no—
1725C23—22no—
1726C23—22no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—24no—
1735C23—22no—
1736C23—48no—
1737C23—48no—
1738C23—48no—
1739C23—416no—
1740C23—48no—
1741C23—84no—
1742C23—84no—
1743C23—84no—
1744C23—88no—
1745C23—88no—
1746C23—88no—
1747C23—88no—
1748C23—164no—
1749C23—164no—
1750C23C23×D414yes—
1751C23C23×D412yes—
1752C23C23×D412yes—
1753C23C22×#4114yes—
1754C23C2×H(5,𝔽2)12yes—
1755C23C2×H(5,𝔽2)12yes—
1756C23C2611yescharacteristic
1757Q8—48no—
1758Q8—88no—
1759Q8—88no—
1760D4—216no—
1761D4—28no—
1762D4—28no—
1763D4—28no—
1764D4—48no—
1765D4—48no—
1766D4—48no—
1767D4—416no—
1768D4—48no—
1769D4—48no—
1770D4—48no—
1771D4—416no—
1772D4—48no—
1773D4—48no—
1774D4—44no—
1775D4—44no—
1776D4—48no—
1777D4—84no—
1778D4—84no—
1779D4—88no—
1780D4—84no—
1781D4—88no—
1782D4—84no—
1783D4—88no—
1784D4—88no—
1785D4—88no—
1786D4—88no—
1787D4—164no—
1788D4—164no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—28no—
1814C2×C4—216no—
1815C2×C4—28no—
1816C2×C4—28no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—44no—
1862C2×C4—48no—
1863C2×C4—44no—
1864C2×C4—48no—
1865C2×C4—48no—
1866C2×C4—416no—
1867C2×C4—48no—
1868C2×C4—48no—
1869C2×C4—44no—
1870C2×C4—48no—
1871C2×C4—88no—
1872C2×C4—84no—
1873C2×C4—88no—
1874C2×C4—88no—
1875C2×C4—88no—
1876C2×C4—84no—
1877C2×C4—88no—
1878C2×C4—88no—
1879C2×C4C23×D414yes—
1880C2×C4C23×D414yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C2×C4C23×D414yes—
1885C2×C4C23×D412yes—
1886C2×C4C23×D412yes—
1887C2×C4C22×#4112yes—
1888C2×C4C22×#4114yes—
1889C2×C4C22×#4112yes—
1890C2×C4C22×#4112yes—
1891C2×C4C2×H(5,𝔽2)12yes—
1892C2×C4C2×H(5,𝔽2)12yes—
1893C2×C4C2×H(5,𝔽2)12yes—
1894C2×C4C2×H(5,𝔽2)12yes—
1895C2×C4#58512yes—
1896C2×C4#58512yes—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—24no—
1904C22—24no—
1905C22—22no—
1906C22—22no—
1907C22—24no—
1908C22—24no—
1909C22—24no—
1910C22—22no—
1911C22—24no—
1912C22—41no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—42no—
1921C22—41no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—44no—
1926C22—42no—
1927C22—44no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—44no—
1933C22—42no—
1934C22—44no—
1935C22—42no—
1936C22—42no—
1937C22—44no—
1938C22—42no—
1939C22—42no—
1940C22—44no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—44no—
1945C22—816no—
1946C22—1616no—
1947C22#349814yes—
1948C22C24×D411yescharacteristic
1949C22C23×#4111yescharacteristic
1950C22C22×H(5,𝔽2)11yescharacteristic
1951C22C22×H(5,𝔽2)11yescharacteristic
1952C22C2×#58511yescharacteristic
1953C22C2×#58511yescharacteristic
1954C222−1+611yescharacteristic
1955C4—22no—
1956C4—22no—
1957C4—24no—
1958C4—22no—
1959C4—24no—
1960C4—22no—
1961C4—24no—
1962C4—22no—
1963C4—22no—
1964C4—22no—
1965C4—24no—
1966C4—22no—
1967C4—41no—
1968C4—42no—
1969C4—42no—
1970C4—42no—
1971C4—44no—
1972C4—44no—
1973C4—44no—
1974C4—42no—
1975C4—41no—
1976C4—42no—
1977C4—41no—
1978C4—42no—
1979C4—42no—
1980C4—42no—
1981C4D4×#4114yes—
1982C4#349414yescomplemented
1983C2—24no—
1984C2—42no—
1985C2—44no—
1986C2—44no—
1987C2—82no—
1988C2—82no—
1989C2—84no—
1990C2C2×D4×#4111yescharacteristic
1991C2C2×#349811yescharacteristic
1992C2C2×#349411yescharacteristic
1993C2#6293111yescharacteristic
1994C2#6298511yescharacteristic
1995C2#6298811yescharacteristic
1996C2#6302411yescharacteristic
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×#3494C2semidirect
2. #59808C2semidirect
3. #59680C2semidirect
4. #59476C2semidirect
5. #59313C2semidirect
6. #59304C2semidirect
7. #59273C2semidirect
8. #59122C2semidirect
9. #59015C2semidirect
10. #44973C2semidirect
11. #44899C2semidirect
12. #44776C2semidirect
13. #44453C2semidirect
14. #39406C2semidirect
15. #39402C2semidirect
16. #39369C2semidirect
17. #39342C2semidirect
18. #38362C2semidirect
19. #37839C2semidirect
20. #36596C2semidirect
21. #36517C2semidirect
22. #36273C2semidirect
23. #36260C2semidirect
24. #36187C2semidirect
25. #36179C2semidirect
26. #36126C2semidirect
27. D4×#121C2semidirect
28. #36087C2semidirect
29. #36022C2semidirect
30. #34763C2semidirect
31. #34681C2semidirect
32. #34310C2semidirect
33. #34207C2semidirect
34. C4×#553C2semidirect
35. C2×#2354C2semidirect
37. C2×#555C22semidirect
38. C2×#555C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#551C22semidirect
44. C2×#551C22semidirect
46. C2×#547C22semidirect
47. C2×#547C22semidirect
48. C2×#547C22semidirect
49. C2×#547C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
55. C2×#544C22semidirect
56. C2×#542C22semidirect
57. C2×#540C22semidirect
58. C2×#535C22semidirect
60. C2×#532C22semidirect
61. C2×#529C22semidirect
62. C2×#525C22semidirect
64. C2×#520C22semidirect
65. C2×#518C22semidirect
67. C22×#117C22semidirect
68. #2868C22semidirect
69. #2858C22semidirect
71. #2856C22semidirect
72. #2856C22semidirect
73. #2856C22semidirect
74. #2854C22semidirect
76. #2723C22semidirect
77. #2720C22semidirect
78. #2718C22semidirect
79. #2714C22semidirect
80. #2711C22semidirect
81. #2710C22semidirect
82. #2706C22semidirect
83. #2703C22semidirect
84. #2696C22semidirect
85. #2692C22semidirect
86. #2685C22semidirect
87. #2681C22semidirect
88. #2680C22semidirect
89. #2678C22semidirect
90. #2677C22semidirect
91. #2674C22semidirect
92. #2673C22semidirect
93. #2672C22semidirect
94. #2671C22semidirect
95. #2670C22semidirect
96. #2669C22semidirect
97. #2635C22semidirect
98. #2632C22semidirect
99. #2628C22semidirect
100. #2615C22semidirect
101. #2610C22semidirect
102. #2598C22semidirect
103. #2563C22semidirect
104. #2555C22semidirect
105. #2554C22semidirect
106. #2552C22semidirect
107. #2551C22semidirect
108. #2551C22semidirect
109. #2543C22semidirect
111. #2542C22semidirect
112. #2542C22semidirect
113. #2542C22semidirect
115. #2541C22semidirect
116. #2541C22semidirect
117. #2541C22semidirect
118. #2540C22semidirect
119. #2540C22semidirect
120. #2539C22semidirect
121. #2539C22semidirect
122. #2539C22semidirect
123. #2539C22semidirect
125. #2537C22semidirect
126. #2537C22semidirect
127. #2535C22semidirect
128. #2534C22semidirect
129. #2521C22semidirect
130. #2519C22semidirect
131. #2512C22semidirect
132. #2512C22semidirect
133. #2506C22semidirect
134. #2501C22semidirect
135. #2501C22semidirect
136. #2501C22semidirect
137. #2501C22semidirect
138. #2501C22semidirect
139. #2501C22semidirect
140. #2501C22semidirect
141. #2500C22semidirect
142. #2496C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
148. #2491C22semidirect
149. #2490C22semidirect
150. #2488C22semidirect
151. #2487C22semidirect
152. #2486C22semidirect
153. #2486C22semidirect
154. #2482C22semidirect
155. #2479C22semidirect
156. #2479C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2471C22semidirect
161. #2471C22semidirect
162. #2464C22semidirect
163. #2464C22semidirect
164. #2464C22semidirect
165. #2463C22semidirect
166. #2461C22semidirect
167. #2461C22semidirect
168. #2461C22semidirect
169. #2461C22semidirect
170. #2461C22semidirect
171. #2456C22semidirect
173. #2452C22semidirect
174. #2452C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2443C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2440C22semidirect
183. #2440C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2437C22semidirect
189. #2430C22semidirect
190. #2430C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2425C22semidirect
196. #2424C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
216. #2408C22semidirect
217. #2406C22semidirect
218. #2405C22semidirect
219. #2404C22semidirect
220. #2396C22semidirect
221. #2395C22semidirect
222. #2392C22semidirect
223. #2388C22semidirect
224. #2374C22semidirect
225. #2373C22semidirect
226. #2370C22semidirect
227. #2366C22semidirect
228. #2366C22semidirect
229. #2364C22semidirect
230. #2363C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
233. #2363C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2358C22semidirect
240. #2357C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
253. #2353C22semidirect
254. #2352C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2347C22semidirect
261. #2345C22semidirect
264. D4×C22⋊C4C22semidirect
265. #2326C22semidirect
266. #2324C22semidirect
267. #2321C22semidirect
268. #2311C22semidirect
269. C4×C4⋊Q8C22semidirect
271. C4×#127C22semidirect
272. C4×#127C22semidirect
273. C4×#125C22semidirect
274. C4×#126C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#120C22semidirect
286. #2293C22semidirect
289. C2×#388C22semidirect
290. #2285C22semidirect
291. C2×#384C22semidirect
292. C2×#384C22semidirect
293. C2×#380C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
299. C2×C4×C4⋊C4C22semidirect
313. #553D4semidirect
940. #126C2×D4semidirect
943. #125C2×D4semidirect
967. #123C2×D4semidirect
1013. #121C2×D4semidirect
1014. #121C2×D4semidirect
1060. C4×D4C2×D4semidirect
1061. C4×D4C2×D4semidirect
1062. C4×D4C2×D4semidirect
1063. C4×D4#41semidirect
1075. #117C2×D4semidirect
1087. C2×C4⋊C4C2×D4semidirect
1982. C4#3494semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
#598082
#596802
#594762
#593132
#593042
#592732
#591222
#590152
#449732
#448992
#447762
#444532
#394062
#394022
#393692
#393422
#383622
#378392
#365962
#365172
#362732
#362602
#361872
#361792
#361262
D4×#1212
#360872
#360222
#347632
#346812
#343102
#342072
C4×#5532
C2×#23542