Finite Group Databasebeta

← #7630790

Subgroups — #7630790

Order 512.

7612 conjugacy classes of subgroups.

The subgroup lattice has 1948 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×#3514C211yesmaximal, characteristic, complemented
3#36065C211yesmaximal, characteristic, complemented
4#36048C211yesmaximal, characteristic, complemented
5#36028C212yesmaximal, complemented
6#35956C211yesmaximal, characteristic, complemented
7#35940C212yesmaximal, complemented
8#35939C211yesmaximal, characteristic, complemented
9#35929C212yesmaximal, complemented
10#35928C211yesmaximal, characteristic, complemented
11#35922C212yesmaximal, complemented
12#35921C211yesmaximal, characteristic, complemented
13#35906C212yesmaximal, complemented
14#35903C211yesmaximal, characteristic, complemented
15#35853C211yesmaximal, characteristic, complemented
16#35830C212yesmaximal, complemented
17#35825C214yesmaximal, complemented
18#35821C212yesmaximal, complemented
19#35732C214yesmaximal, complemented
20#35728C212yesmaximal, complemented
21#35238C211yesmaximal, characteristic, complemented
22#35234C211yesmaximal, characteristic, complemented
23#35220C212yesmaximal, complemented
24#35198C212yesmaximal, complemented
25#35145C212yesmaximal, complemented
26#35131C212yesmaximal, complemented
27#35009C214yesmaximal, complemented
28#35007C214yesmaximal, complemented
29#34643C211yesmaximal, characteristic, complemented
30#34624C211yesmaximal, characteristic, complemented
31#34594C212yesmaximal, complemented
32C2×#2662C212yesmaximal, complemented
33#34310C212yesmaximal, complemented
34#34309C212yesmaximal, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36#3521—216no—
37#3514—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic, complemented
42C2×#555C2212yescomplemented
43C2×#554C2211yescharacteristic
44C2×#553C2212yescomplemented
45C2×#553C2211yescharacteristic, complemented
46C2×#552C2211yescharacteristic, complemented
47C2×#552C2212yescomplemented
48C2×#551C2214yescomplemented
49C2×#551C2212yescomplemented
50C2×#551C2212yescomplemented
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2212yescomplemented
53C2×#547C2211yescharacteristic
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2212yescomplemented
59C2×D42C2212yes—
60C2×D42C2211yescharacteristic
61C2×#542C2212yescomplemented
62C2×#542C2211yescharacteristic, complemented
63C2×#541C2211yescharacteristic, complemented
64C2×#539C2212yescomplemented
65C2×#538C2214yescomplemented
66C2×#538C2212yescomplemented
67C2×#532C2211yescharacteristic, complemented
68C2×#529C2212yescomplemented
69C2×#529C2212yescomplemented
70C2×#529C2211yescharacteristic, complemented
71C2×#529C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic, complemented
73C22×#126C2212yescomplemented
74C22×#124C2212yescomplemented
75C2×#520C2211yescharacteristic
76C2×#520C2212yes—
77C2×#518C2212yes—
78C2×#518C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic
80#2861C2214yescomplemented
81#2860C2214yescomplemented
82#2860C2214yescomplemented
83#2858C2214yescomplemented
84#2856C2212yescomplemented
85#2854C2214yescomplemented
86#2850C2212yescomplemented
87#2664C2211yescharacteristic, complemented
88#2664C2212yescomplemented
89#2664C2214yescomplemented
90#2664C2211yescharacteristic, complemented
91#2664C2212yescomplemented
92#2663C2211yescharacteristic, complemented
93#2663C2211yescharacteristic, complemented
94#2663C2212yescomplemented
95#2662C2211yescharacteristic
96#2662C2212yes—
97#2662C2212yescomplemented
98#2662C2212yescomplemented
99#2662C2212yescomplemented
100#2662C2212yescomplemented
101#2662C2212yescomplemented
102#2662C2212yescomplemented
103#2662C2214yescomplemented
104#2662C2214yescomplemented
105#2662C2214yescomplemented
106#2662C2214yescomplemented
107#2662C2212yescomplemented
108#2662C2214yescomplemented
109#2662C2211yescharacteristic, complemented
110#2662C2212yescomplemented
111#2662C2212yescomplemented
112#2661C2211yescharacteristic
113#2661C2214yescomplemented
114#2661C2211yescharacteristic, complemented
115#2661C2212yescomplemented
116#2660C2211yescharacteristic, complemented
117#2659C2212yescomplemented
118#2657C2211yescharacteristic
119#2656C2212yes—
120#2641C2211yescharacteristic, complemented
121#2640C2211yescharacteristic, complemented
122#2639C2212yescomplemented
123#2639C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yescomplemented
126#2618C2214yescomplemented
127#2618C2214yescomplemented
128#2610C2212yescomplemented
129#2610C2212yescomplemented
130#2610C2212yescomplemented
131#2610C2212yescomplemented
132#2604C2212yescomplemented
133#2604C2212yescomplemented
134#2603C2212yescomplemented
135#2603C2212yescomplemented
136#2601C2214yescomplemented
137#2601C2214yescomplemented
138#2601C2214yescomplemented
139#2592C2211yescharacteristic, complemented
140#2591C2212yescomplemented
141#2584C2211yescharacteristic, complemented
142#2583C2212yescomplemented
143#2567C2211yescharacteristic, complemented
144#2566C2212yescomplemented
145#2564C2212yescomplemented
146#2563C2211yescharacteristic, complemented
147#2562C2211yescharacteristic, complemented
148#2561C2212yescomplemented
149#2560C2214yescomplemented
150#2560C2214yescomplemented
151#2559C2214yescomplemented
152#2558C2214yescomplemented
153#2558C2214yescomplemented
154#2557C2214yescomplemented
155#2556C2214yescomplemented
156#2555C2214yescomplemented
157#2555C2214yescomplemented
158#2554C2214yescomplemented
159#2554C2214yescomplemented
160#2554C2214yescomplemented
161#2551C2212yescomplemented
162#2550C2212yescomplemented
163#2549C2214yescomplemented
164#2548C2211yescharacteristic, complemented
165#2548C2212yescomplemented
166#2545C2214yescomplemented
167#2545C2212yescomplemented
168#2544C2214yescomplemented
169#2544C2212yescomplemented
170#2543C2212yescomplemented
171#2543C2214yescomplemented
172#2541C2211yescharacteristic
173#2541C2212yes—
174#2540C2212yes—
175#2540C2211yescharacteristic
176#2539C2212yes—
177#2539C2214yes—
178#2538C2212yescomplemented
179#2536C2212yescomplemented
180#2534C2214yescomplemented
181#2521C2214yescomplemented
182#2519C2214yescomplemented
183#2512C2214yescomplemented
184#2492C2212yescomplemented
185#2491C2212yescomplemented
186#2491C2212yescomplemented
187#2491C2214yescomplemented
188#2490C2212yescomplemented
189#2488C2214yescomplemented
190#2472C2214yescomplemented
191#2472C2214yescomplemented
192#2472C2214yescomplemented
193#2464C2214yescomplemented
194#2461C2214yescomplemented
195#2461C2214yescomplemented
196#2461C2214yescomplemented
197#2452C2214yescomplemented
198#2445C2214yescomplemented
199#2445C2214yescomplemented
200#2440C2214yescomplemented
201#2436C2212yescomplemented
202#2435C2212yescomplemented
203#2434C2212yescomplemented
204#2433C2212yes—
205#2433C2214yes—
206#2430C2212yescomplemented
207#2430C2212yescomplemented
208#2429C2212yescomplemented
209#2428C2214yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2425C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2424C2214yescomplemented
217#2417C2212yescomplemented
218#2416C2214yescomplemented
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2416C2212yescomplemented
222#2413C2214yescomplemented
223#2411C2214yescomplemented
224#2411C2214yescomplemented
225#2411C2214yescomplemented
226#2408C2214yescomplemented
227#2399C2211yescharacteristic, complemented
228#2398C2211yescharacteristic, complemented
229#2398C2211yescharacteristic, complemented
230#2397C2211yescharacteristic
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233#2396C2214yescomplemented
234#2392C2212yescomplemented
235#2392C2212yescomplemented
236#2392C2214yescomplemented
237#2392C2214yescomplemented
238#2392C2212yescomplemented
239#2392C2212yescomplemented
240C2×#396C2214yescomplemented
241#2388C2212yescomplemented
242#2388C2212yescomplemented
243C2×#395C2212yescomplemented
244C2×#394C2212yescomplemented
245C2×#394C2214yescomplemented
246C2×#393C2212yescomplemented
247C2×#392C2212yes—
248#2367C2212yescomplemented
249#2366C2212yescomplemented
250#2364C2214yescomplemented
251#2363C2212yescomplemented
252#2363C2212yescomplemented
253#2362C2212yescomplemented
254#2361C2212yescomplemented
255#2361C2214yescomplemented
256#2359C2214yescomplemented
257#2358C2214yescomplemented
258#2358C2214yescomplemented
259#2358C2214yescomplemented
260#2354C2212yescomplemented
261#2352C2212yescomplemented
262#2349C2212yes—
263D4×C4⋊C4C2212yes—
264#2342C2214yescomplemented
265#2339C2212yes—
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2214yescomplemented
270#2324C2212yescomplemented
271#2324C2212yescomplemented
272#2324C2212yescomplemented
273#2323C2212yescomplemented
274#2322C2214yescomplemented
275#2321C2214yescomplemented
276#2321C2214yescomplemented
277#2321C2214yescomplemented
278C4×#127C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#121C2214yescomplemented
281C4×#121C2214yescomplemented
282#2293C2212yescomplemented
283#2293C2212yescomplemented
284C2×#390C2214yescomplemented
285C2×#388C2214yescomplemented
286#2276C2211yescharacteristic, complemented
287#2276C2211yescharacteristic, complemented
288#2275C2211yescharacteristic
289#2275C2211yescharacteristic
290#2275C2212yescomplemented
291#2275C2212yescomplemented
292#2274C2214yescomplemented
293#2274C2212yescomplemented
294C42×Q8C2212yescomplemented
295C42×D4C2212yes—
296C42×D4C2214yescomplemented
297C4×#117C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2212yescomplemented
300C2×C4×C4⋊C4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2314yes—
308C23×D4C2312yes—
309#559—28no—
310#556—28no—
311#556—28no—
312#556—28no—
313#555—216no—
314#554—28no—
315#553—216no—
316#553—28no—
317#552—28no—
318#552—216no—
319#551—216no—
320#551—232no—
321#551—216no—
322D4×Q8—28no—
323#548—216no—
324#547—28no—
325#546—216no—
326#546—28no—
327#546—28no—
328#546—216no—
329#546—216no—
330D42—28no—
331D42—216no—
332#542—216no—
333#542—28no—
334#541—28no—
335#539—216no—
336#538—232no—
337#538—216no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2314yes—
344C2×#127C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2314yes—
348#529—216no—
349#529—28no—
350#529—216no—
351#529—28no—
352#529—28no—
353C2×#126—216no—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2314yes—
364C2×#126C2311yescharacteristic
365C2×#126C2312yes—
366C2×#126C2311yescharacteristic
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2311yescharacteristic
376C2×#124—216no—
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2314yes—
386C2×#124C2311yescharacteristic
387C2×#124C2311yescharacteristic
388C2×#124C2312yes—
389C2×#124C2314yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2314yes—
393C2×#124C2314yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2311yescharacteristic
401C2×#123C2311yescharacteristic
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2314yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2314yes—
408C2×#123C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#120C2314yes—
448C2×#120C2314yes—
449C2×#120C2314yes—
450C2×#120C2312yes—
451C2×#120C2314yes—
452C2×#120C2312yes—
453C2×#120C2314yes—
454#520—28no—
455#520—216no—
456#518—216no—
457#518—28no—
458C4×#41D4116yescomplemented
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×#117C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2314yes—
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2314yes—
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2314yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C22⋊C4C2314yes—
536C22×C22⋊C4C2314yes—
537C22×C42C2312yes—
538C22×C42C2314yes—
539C22×C42C2312yes—
540C22×C42C2311yescharacteristic
541#400C2312yes—
542#400C2311yescharacteristic
543#400C2311yescharacteristic
544#400C2314yes—
545#400C2312yes—
546#399C2312yes—
547#399C2311yescharacteristic
548#399C2311yescharacteristic
549#399C2314yes—
550#399C2312yes—
551#398C2314yes—
552#398C2311yescharacteristic
553#398C2312yes—
554#398C2314yes—
555#398C2312yes—
556#398C2312yes—
557#398C2314yes—
558#398C2311yescharacteristic
559#398C2314yes—
560#398C2314yes—
561#398C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2311yescharacteristic
565#397C2312yes—
566#397C2311yescharacteristic
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2312yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2312yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2311yescharacteristic
593#395C2311yescharacteristic
594#395C2312yes—
595#395C2314yes—
596#395C2314yes—
597#395C2314yes—
598#395C2312yes—
599#394C2314yes—
600#394C2314yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2311yescharacteristic
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2311yescharacteristic
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#393C2312yes—
631#393C2314yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2311yescharacteristic
637#393C2312yes—
638#393C2314yes—
639#393C2311yescharacteristic
640#393C2314yes—
641#392C2312yes—
642#392C2312yes—
643#392C2311yescharacteristic
644#392C2312yes—
645#392C2312yes—
646#392C2314yes—
647#392C2314yes—
648#392C2311yescharacteristic
649#392C2312yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#391C2312yes—
658#391C2314yes—
659#391C2312yes—
660#391C2312yes—
661#391C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2312yes—
666#390C2312yes—
667#390C2314yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#390C2314yes—
688#390C2314yes—
689#390C2314yes—
690#390C2312yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
719#388C2312yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2312yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2312yes—
742#388C2314yes—
743#388C2312yes—
744#388C2314yes—
745#388C2314yes—
746#388C2312yes—
747#388C2312yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#384C2312yes—
782#384C2312yes—
783#382C2312yes—
784#382C2312yes—
785#381C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#379C2314yes—
794#379C2314yes—
795#379C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843#376C2312yes—
844#376C2312yes—
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847C2×#95C2312yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C43C2312yes—
853C43C2314yes—
854C25C2412yes—
855C25C2414yes—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—84no—
861C2×#41C2×D418yes—
862C22×Q8—28no—
863C22×Q8—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×D4—28no—
872C22×D4—24no—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—28no—
877C22×D4—216no—
878C22×D4—84no—
879C22×D4—84no—
880C22×D4—84no—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2414yes—
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—24no—
931C4⋊Q8—84no—
932#127—24no—
933#127—28no—
934#127—82no—
935#127—84no—
936#126—216no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—24no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—24no—
949#126—216no—
950#126—28no—
951#125—28no—
952#125—28no—
953#125—24no—
954#125—24no—
955#125—28no—
956#125—24no—
957#125—24no—
958#124—24no—
959#124—28no—
960#124—216no—
961#124—28no—
962#124—24no—
963#124—28no—
964#124—216no—
965#124—28no—
966#124—28no—
967#124—216no—
968#124—28no—
969#124—24no—
970#124—24no—
971#124—28no—
972#124—82no—
973#124—84no—
974#124—84no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—28no—
980#123—28no—
981#123—24no—
982#123—24no—
983#123—28no—
984#123—216no—
985#123—216no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—216no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—216no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—216no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006#121—216no—
1007#121—28no—
1008#121—28no—
1009#121—24no—
1010#121—28no—
1011#121—24no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—216no—
1017#121—216no—
1018#121—28no—
1019#121—24no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—216no—
1024#121—28no—
1025#121—84no—
1026#121—84no—
1027#121—84no—
1028#120—216no—
1029#120—28no—
1030#120—216no—
1031#120—28no—
1032#120—216no—
1033#120—216no—
1034#120—216no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—24no—
1040C4×Q8—28no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8C2×D418yescomplemented
1044C4×Q8C2×D418yescomplemented
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—216no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—216no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—84no—
1073C4×D4—84no—
1074C4×D4—84no—
1075C4×D4—84no—
1076C4×D4C2×D418yes—
1077C4×D4C2×D418yes—
1078C4×D4C2×D4116yescomplemented
1079C4×D4C2×D4116yescomplemented
1080C4×D4#41116yescomplemented
1081#117—24no—
1082#117—28no—
1083#117—28no—
1084#117—216no—
1085#117—24no—
1086#117—28no—
1087#117—24no—
1088#117—28no—
1089#117—216no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117C2×D4116yescomplemented
1094#117C2×D418yescomplemented
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—216no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—84no—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4—216no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—216no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—216no—
1168C2×C22⋊C4—216no—
1169C2×C22⋊C4—28no—
1170C2×C22⋊C4—84no—
1171C2×C22⋊C4—84no—
1172C2×C22⋊C4—84no—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C42—84no—
1254C2×C42—82no—
1255C2×C42C2×D4116yescomplemented
1256C2×C42C2×D418yescomplemented
1257C2×C42C2414yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2414yes—
1266C2×C42C2414yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2414yes—
1272C2×C42C2412yes—
1273C2×C42C2414yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2414yes—
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286#95C2412yes—
1287#95C2411yescharacteristic
1288#95C2412yes—
1289#95C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2411yescharacteristic
1302#95C2411yescharacteristic
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2412yes—
1325C24—24no—
1326C24—28no—
1327C24—28no—
1328C24—28no—
1329C24—28no—
1330C24—44no—
1331C24—44no—
1332C24—44no—
1333C24—42no—
1334C24—44no—
1335C24—42no—
1336C24—44no—
1337C24C2511yescharacteristic
1338C24C2512yes—
1339C24C2512yes—
1340C24C2514yes—
1341C24C2511yescharacteristic
1342C24C2511yescharacteristic
1343C24C2512yes—
1344#41—232no—
1345#41—416no—
1346#41—816no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—24no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—28no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—42no—
1356C2×Q8—44no—
1357C2×Q8—41no—
1358C2×Q8—44no—
1359C2×Q8—44no—
1360C2×Q8—44no—
1361C2×Q8—41no—
1362C2×Q8—816no—
1363C2×Q8C22×D414yes—
1364C2×D4—28no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—28no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—28no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—28no—
1394C2×D4—28no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—41no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—41no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—432no—
1427C2×D4—416no—
1428C2×D4—816no—
1429C2×D4—832no—
1430C2×D4C22×D418yes—
1431C2×D4C22×D414yes—
1432C2×D4C2×#4118yes—
1433C22×C4—28no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—28no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—28no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—28no—
1452C22×C4—24no—
1453C22×C4—28no—
1454C22×C4—42no—
1455C22×C4—41no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—42no—
1459C22×C4—41no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—44no—
1479C22×C4—42no—
1480C22×C4C22×D418yes—
1481C22×C4C22×D414yes—
1482C22×C4C22×D418yes—
1483C22×C4C22×D418yes—
1484C22×C4C22×D414yes—
1485C22×C4C22×D414yes—
1486C22×C4C2×#41116yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2514yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2514yes—
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—28no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—24no—
1553C4⋊C4—28no—
1554C4⋊C4—28no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—28no—
1560C4⋊C4—42no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C4⋊C4C22×D414yes—
1571C4⋊C4C22×D414yes—
1572C4⋊C4C22×D418yes—
1573C4⋊C4C22×D418yes—
1574C4⋊C4C2×#4118yes—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—22no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—22no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—22no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4C22×D418yes—
1652C22⋊C4C22×D418yes—
1653C22⋊C4C22×D418yes—
1654C22⋊C4C2×#41116yes—
1655C42—28no—
1656C42—24no—
1657C42—24no—
1658C42—24no—
1659C42—24no—
1660C42—22no—
1661C42—22no—
1662C42—28no—
1663C42—28no—
1664C42—24no—
1665C42—42no—
1666C42—44no—
1667C42—44no—
1668C42—44no—
1669C42—42no—
1670C42—42no—
1671C42—42no—
1672C42—42no—
1673C42—42no—
1674C42—44no—
1675C42—44no—
1676C42C22×D414yes—
1677C42C22×D414yes—
1678C42C22×D414yes—
1679C42C22×D418yes—
1680C42C22×D418yes—
1681C42C22×D414yes—
1682C42C22×D418yes—
1683C42C2×#4118yes—
1684C23—22no—
1685C23—24no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—22no—
1693C23—22no—
1694C23—21no—
1695C23—24no—
1696C23—22no—
1697C23—24no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—24no—
1702C23—24no—
1703C23—22no—
1704C23—24no—
1705C23—24no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—21no—
1710C23—22no—
1711C23—24no—
1712C23—24no—
1713C23—21no—
1714C23—22no—
1715C23—21no—
1716C23—24no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—48no—
1721C23—416no—
1722C23—88no—
1723C23—88no—
1724C23—88no—
1725C23—88no—
1726C23—84no—
1727C23—84no—
1728C23—88no—
1729C23—88no—
1730C23—88no—
1731C23—88no—
1732C23C23×D412yes—
1733C23C23×D414yes—
1734C23C22×#4118yes—
1735C23C2611yescharacteristic
1736Q8—28no—
1737Q8—44no—
1738Q8—48no—
1739Q8—44no—
1740Q8—84no—
1741Q8—82no—
1742Q8—88no—
1743D4—216no—
1744D4—416no—
1745D4—48no—
1746D4—44no—
1747D4—48no—
1748D4—416no—
1749D4—48no—
1750D4—48no—
1751D4—44no—
1752D4—48no—
1753D4—88no—
1754D4—84no—
1755D4—82no—
1756D4—84no—
1757D4—84no—
1758D4—88no—
1759D4—88no—
1760D4—88no—
1761D4—88no—
1762D4—82no—
1763D4—82no—
1764D4—84no—
1765D4—84no—
1766D4—88no—
1767D4#532116yes—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—216no—
1786C2×C4—28no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—48no—
1830C2×C4—44no—
1831C2×C4—48no—
1832C2×C4—44no—
1833C2×C4—416no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—88no—
1839C2×C4—84no—
1840C2×C4—84no—
1841C2×C4—88no—
1842C2×C4—84no—
1843C2×C4—88no—
1844C2×C4—88no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—88no—
1848C2×C4C23×D414yes—
1849C2×C4C23×D412yes—
1850C2×C4C23×D412yes—
1851C2×C4C23×D412yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D414yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D414yes—
1856C2×C4C23×D412yes—
1857C2×C4C22×#4114yes—
1858C2×C4C22×#4118yes—
1859C2×C4C22×#4114yes—
1860C2×C4C22×#4114yes—
1861C22—28no—
1862C22—24no—
1863C22—24no—
1864C22—28no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—44no—
1873C22—44no—
1874C22—42no—
1875C22—44no—
1876C22—42no—
1877C22—44no—
1878C22—42no—
1879C22—42no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—44no—
1884C22—42no—
1885C22—41no—
1886C22—42no—
1887C22—42no—
1888C22—44no—
1889C22—44no—
1890C22—42no—
1891C22—44no—
1892C22—42no—
1893C22—42no—
1894C22—41no—
1895C22—41no—
1896C22—42no—
1897C22—42no—
1898C22—44no—
1899C22—168no—
1900C22—1616no—
1901C22C2×#53218yes—
1902C22C24×D411yescharacteristic
1903C22C23×#4112yes—
1904C22H(7,𝔽2)11yescharacteristic
1905C22H(7,𝔽2)12yes—
1906C222−1+611yescharacteristic
1907C4—24no—
1908C4—28no—
1909C4—22no—
1910C4—22no—
1911C4—24no—
1912C4—22no—
1913C4—24no—
1914C4—22no—
1915C4—24no—
1916C4—22no—
1917C4—24no—
1918C4—44no—
1919C4—42no—
1920C4—41no—
1921C4—44no—
1922C4—42no—
1923C4—42no—
1924C4—41no—
1925C4—42no—
1926C4—42no—
1927C4—41no—
1928C4—41no—
1929C4—42no—
1930C4—41no—
1931C4—42no—
1932C4—41no—
1933C4—42no—
1934C4C2×#53214yes—
1935C2—28no—
1936C2—42no—
1937C2—81no—
1938C2—82no—
1939C2—84no—
1940C2—81no—
1941C2—82no—
1942C2C22×#53211yescharacteristic
1943C2#6284612yes—
1944C2#6285211yescharacteristic
1945C2#6285311yescharacteristic
1946C2#6285712yes—
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×#3521C2semidirect
2. C2×#3514C2semidirect
3. #36065C2semidirect
4. #36048C2semidirect
5. #36028C2semidirect
6. #35956C2semidirect
7. #35940C2semidirect
8. #35939C2semidirect
9. #35929C2semidirect
10. #35928C2semidirect
11. #35922C2semidirect
12. #35921C2semidirect
13. #35906C2semidirect
14. #35903C2semidirect
15. #35853C2semidirect
16. #35830C2semidirect
17. #35825C2semidirect
18. #35821C2semidirect
19. #35732C2semidirect
20. #35728C2semidirect
21. #35238C2semidirect
22. #35234C2semidirect
23. #35220C2semidirect
24. #35198C2semidirect
25. #35145C2semidirect
26. #35131C2semidirect
27. #35009C2semidirect
28. #35007C2semidirect
29. #34643C2semidirect
30. #34624C2semidirect
31. #34594C2semidirect
32. C2×#2662C2semidirect
33. #34310C2semidirect
34. #34309C2semidirect
35. C4×#520C2semidirect
38. C2×#559C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
42. C2×#555C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#552C22semidirect
47. C2×#552C22semidirect
48. C2×#551C22semidirect
49. C2×#551C22semidirect
50. C2×#551C22semidirect
52. C2×#548C22semidirect
58. C2×#546C22semidirect
61. C2×#542C22semidirect
62. C2×#542C22semidirect
63. C2×#541C22semidirect
64. C2×#539C22semidirect
65. C2×#538C22semidirect
66. C2×#538C22semidirect
67. C2×#532C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
73. C22×#126C22semidirect
74. C22×#124C22semidirect
80. #2861C22semidirect
81. #2860C22semidirect
82. #2860C22semidirect
83. #2858C22semidirect
84. #2856C22semidirect
85. #2854C22semidirect
86. #2850C22semidirect
87. #2664C22semidirect
88. #2664C22semidirect
89. #2664C22semidirect
90. #2664C22semidirect
91. #2664C22semidirect
92. #2663C22semidirect
93. #2663C22semidirect
94. #2663C22semidirect
97. #2662C22semidirect
98. #2662C22semidirect
99. #2662C22semidirect
100. #2662C22semidirect
101. #2662C22semidirect
102. #2662C22semidirect
103. #2662C22semidirect
104. #2662C22semidirect
105. #2662C22semidirect
106. #2662C22semidirect
107. #2662C22semidirect
108. #2662C22semidirect
109. #2662C22semidirect
110. #2662C22semidirect
111. #2662C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
116. #2660C22semidirect
117. #2659C22semidirect
120. #2641C22semidirect
121. #2640C22semidirect
122. #2639C22semidirect
123. #2639C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
126. #2618C22semidirect
127. #2618C22semidirect
128. #2610C22semidirect
129. #2610C22semidirect
130. #2610C22semidirect
131. #2610C22semidirect
132. #2604C22semidirect
133. #2604C22semidirect
134. #2603C22semidirect
135. #2603C22semidirect
136. #2601C22semidirect
137. #2601C22semidirect
138. #2601C22semidirect
139. #2592C22semidirect
140. #2591C22semidirect
141. #2584C22semidirect
142. #2583C22semidirect
143. #2567C22semidirect
144. #2566C22semidirect
145. #2564C22semidirect
146. #2563C22semidirect
147. #2562C22semidirect
148. #2561C22semidirect
149. #2560C22semidirect
150. #2560C22semidirect
151. #2559C22semidirect
152. #2558C22semidirect
153. #2558C22semidirect
154. #2557C22semidirect
155. #2556C22semidirect
156. #2555C22semidirect
157. #2555C22semidirect
158. #2554C22semidirect
159. #2554C22semidirect
160. #2554C22semidirect
161. #2551C22semidirect
162. #2550C22semidirect
163. #2549C22semidirect
164. #2548C22semidirect
165. #2548C22semidirect
166. #2545C22semidirect
167. #2545C22semidirect
168. #2544C22semidirect
169. #2544C22semidirect
170. #2543C22semidirect
171. #2543C22semidirect
178. #2538C22semidirect
179. #2536C22semidirect
180. #2534C22semidirect
181. #2521C22semidirect
182. #2519C22semidirect
183. #2512C22semidirect
184. #2492C22semidirect
185. #2491C22semidirect
186. #2491C22semidirect
187. #2491C22semidirect
188. #2490C22semidirect
189. #2488C22semidirect
190. #2472C22semidirect
191. #2472C22semidirect
192. #2472C22semidirect
193. #2464C22semidirect
194. #2461C22semidirect
195. #2461C22semidirect
196. #2461C22semidirect
197. #2452C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2440C22semidirect
201. #2436C22semidirect
202. #2435C22semidirect
203. #2434C22semidirect
206. #2430C22semidirect
207. #2430C22semidirect
208. #2429C22semidirect
209. #2428C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2425C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2424C22semidirect
217. #2417C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2416C22semidirect
222. #2413C22semidirect
223. #2411C22semidirect
224. #2411C22semidirect
225. #2411C22semidirect
226. #2408C22semidirect
227. #2399C22semidirect
228. #2398C22semidirect
229. #2398C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
233. #2396C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
239. #2392C22semidirect
240. C2×#396C22semidirect
241. #2388C22semidirect
242. #2388C22semidirect
243. C2×#395C22semidirect
244. C2×#394C22semidirect
245. C2×#394C22semidirect
246. C2×#393C22semidirect
248. #2367C22semidirect
249. #2366C22semidirect
250. #2364C22semidirect
251. #2363C22semidirect
252. #2363C22semidirect
253. #2362C22semidirect
254. #2361C22semidirect
255. #2361C22semidirect
256. #2359C22semidirect
257. #2358C22semidirect
258. #2358C22semidirect
259. #2358C22semidirect
260. #2354C22semidirect
261. #2352C22semidirect
264. #2342C22semidirect
269. D4×C22⋊C4C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2322C22semidirect
275. #2321C22semidirect
276. #2321C22semidirect
277. #2321C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
284. C2×#390C22semidirect
285. C2×#388C22semidirect
286. #2276C22semidirect
287. #2276C22semidirect
290. #2275C22semidirect
291. #2275C22semidirect
292. #2274C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
458. C4×#41D4semidirect
1043. C4×Q8C2×D4semidirect
1044. C4×Q8C2×D4semidirect
1078. C4×D4C2×D4semidirect
1079. C4×D4C2×D4semidirect
1080. C4×D4#41semidirect
1093. #117C2×D4semidirect
1094. #117C2×D4semidirect
1255. C2×C42C2×D4semidirect
1256. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×#35142
#360652
#360482
#360282
#359562
#359402
#359392
#359292
#359282
#359222
#359212
#359062
#359032
#358532
#358302
#358252
#358212
#357322
#357282
#352382
#352342
#352202
#351982
#351452
#351312
#350092
#350072
#346432
#346242
#345942
C2×#26622
#343102
#343092
C4×#5202