Finite Group Databasebeta

← #7692339

Subgroups — #7692339

Order 512.

7803 conjugacy classes of subgroups.

The subgroup lattice has 1981 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C212yesmaximal, complemented
2#59843C212yesmaximal, complemented
3#59815C211yesmaximal, characteristic, complemented
4#59808C212yesmaximal, complemented
5#59412C212yesmaximal, complemented
6#59313C211yesmaximal, characteristic, complemented
7#59213C211yesmaximal, characteristic, complemented
8#59184C214yesmaximal, complemented
9#59028C212yesmaximal, complemented
10#44878C212yesmaximal, complemented
11#44871C212yesmaximal, complemented
12#44779C214yesmaximal, complemented
13#43923C214yesmaximal, complemented
14#39410C212yesmaximal, complemented
15#39398C212yesmaximal, complemented
16#39370C211yesmaximal, characteristic, complemented
17#39342C211yesmaximal, characteristic, complemented
18#38382C214yesmaximal, complemented
19#37846C212yesmaximal, complemented
20#36472C211yesmaximal, characteristic, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36264C212yesmaximal, complemented
24#36235C212yesmaximal, complemented
25#36182C211yesmaximal, characteristic, complemented
26#36125C212yesmaximal, complemented
27D4×#121C211yesmaximal, characteristic, complemented
28#36083C212yesmaximal, complemented
29#35823C212yesmaximal, complemented
30#34914C212yesmaximal, complemented
31#34681C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36#3494—232no—
37C2×#555C2211yescharacteristic
38C2×#555C2212yescomplemented
39C2×#553C2212yes—
40C2×#553C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#551C2214yescomplemented
44C2×#551C2214yescomplemented
45C2×#550C2212yescomplemented
46C2×#547C2212yescomplemented
47C2×#547C2212yescomplemented
48C2×#547C2212yescomplemented
49C2×#546C2214yescomplemented
50C2×#546C2214yescomplemented
51C2×D42C2211yescharacteristic
52C2×D42C2212yes—
53C2×#544C2212yescomplemented
54C2×#542C2214yescomplemented
55C2×#540C2214yescomplemented
56C2×#535C2212yescomplemented
57C2×#532C2211yescharacteristic
58C2×#532C2214yescomplemented
59C2×#529C2214yescomplemented
60C2×#525C2212yescomplemented
61C22×#121C2212yes—
62C2×#520C2212yescomplemented
63C2×#518C2212yescomplemented
64C22×C4×D4C2211yescharacteristic
65C22×#117C2212yescomplemented
66#2860C2212yescomplemented
67#2859C2211yescharacteristic, complemented
68#2858C2212yescomplemented
69#2856C2211yescharacteristic
70#2856C2211yescharacteristic, complemented
71#2854C2212yescomplemented
72#2850C2214yescomplemented
73#2847C2212yes—
74#2729C2214yescomplemented
75#2729C2214yescomplemented
76#2728C2214yescomplemented
77#2709C2214yescomplemented
78#2708C2214yescomplemented
79#2707C2214yescomplemented
80#2704C2214yescomplemented
81#2701C2214yescomplemented
82#2700C2214yescomplemented
83#2699C2214yescomplemented
84#2697C2214yescomplemented
85#2688C2214yescomplemented
86#2687C2214yescomplemented
87#2682C2214yescomplemented
88#2681C2214yescomplemented
89#2680C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2670C2214yescomplemented
94#2669C2214yescomplemented
95#2637C2214yescomplemented
96#2630C2214yescomplemented
97#2629C2212yescomplemented
98#2615C2212yescomplemented
99#2610C2214yescomplemented
100#2610C2214yescomplemented
101#2609C2214yescomplemented
102#2603C2214yescomplemented
103#2603C2214yescomplemented
104#2602C2214yescomplemented
105#2566C2212yescomplemented
106#2562C2212yescomplemented
107#2560C2214yescomplemented
108#2559C2214yescomplemented
109#2559C2214yescomplemented
110#2558C2214yescomplemented
111#2557C2214yescomplemented
112#2555C2214yescomplemented
113#2554C2214yescomplemented
114#2552C2211yescharacteristic, complemented
115#2551C2211yescharacteristic, complemented
116#2546C2212yescomplemented
117#2541C2211yescharacteristic
118#2541C2212yescomplemented
119#2541C2211yescharacteristic, complemented
120#2538C2212yes—
121#2538C2212yescomplemented
122#2537C2211yescharacteristic
123#2537C2212yescomplemented
124#2537C2211yescharacteristic, complemented
125#2537C2212yescomplemented
126#2535C2214yescomplemented
127#2535C2212yescomplemented
128#2534C2214yescomplemented
129#2512C2212yescomplemented
130#2512C2212yescomplemented
131#2506C2212yescomplemented
132#2504C2212yescomplemented
133#2500C2212yescomplemented
134#2496C2212yescomplemented
135#2496C2212yescomplemented
136#2491C2212yescomplemented
137#2491C2212yescomplemented
138#2491C2212yescomplemented
139#2490C2212yescomplemented
140#2486C2212yescomplemented
141#2486C2212yescomplemented
142#2486C2212yescomplemented
143#2485C2212yescomplemented
144#2480C2214yescomplemented
145#2480C2214yescomplemented
146#2476C2214yescomplemented
147#2474C2214yescomplemented
148#2472C2214yescomplemented
149#2472C2212yescomplemented
150#2472C2214yescomplemented
151#2468C2214yescomplemented
152#2468C2214yescomplemented
153#2464C2214yescomplemented
154#2464C2214yescomplemented
155#2464C2214yescomplemented
156#2464C2214yescomplemented
157#2464C2212yescomplemented
158#2464C2214yescomplemented
159#2464C2214yescomplemented
160#2461C2214yescomplemented
161#2461C2212yescomplemented
162#2457C2214yescomplemented
163#2457C2214yescomplemented
164#2457C2214yescomplemented
165#2452C2212yes—
166#2452C2211yescharacteristic, complemented
167#2445C2211yescharacteristic
168#2445C2212yescomplemented
169#2445C2212yescomplemented
170#2442C2212yescomplemented
171#2442C2212yescomplemented
172#2440C2212yescomplemented
173#2440C2211yescharacteristic, complemented
174#2440C2212yescomplemented
175#2439C2212yescomplemented
176#2433C2211yescharacteristic
177#2433C2212yes—
178#2432C2214yescomplemented
179#2431C2214yescomplemented
180#2428C2212yes—
181#2428C2212yescomplemented
182#2428C2212yescomplemented
183#2428C2211yescharacteristic, complemented
184#2428C2212yescomplemented
185#2424C2214yes—
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2212yescomplemented
189#2422C2211yescharacteristic
190#2422C2212yescomplemented
191#2422C2212yescomplemented
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2420C2212yescomplemented
196#2416C2212yes—
197#2416C2212yes—
198#2416C2212yescomplemented
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2211yescharacteristic, complemented
202#2416C2212yescomplemented
203#2414C2212yescomplemented
204#2414C2212yescomplemented
205#2414C2212yescomplemented
206#2411C2214yescomplemented
207#2410C2214yes—
208#2408C2212yes—
209#2408C2211yescharacteristic
210#2408C2212yes—
211#2408C2214yescomplemented
212#2408C2212yescomplemented
213#2407C2214yescomplemented
214#2407C2214yescomplemented
215#2406C2214yescomplemented
216#2405C2214yescomplemented
217#2404C2214yescomplemented
218#2398C2214yescomplemented
219#2392C2212yescomplemented
220#2392C2214yescomplemented
221#2388C2212yescomplemented
222#2372C2212yescomplemented
223#2372C2212yescomplemented
224#2369C2211yescharacteristic, complemented
225#2366C2211yescharacteristic, complemented
226#2363C2211yescharacteristic
227#2363C2212yescomplemented
228#2363C2211yescharacteristic, complemented
229#2363C2212yescomplemented
230#2363C2212yescomplemented
231#2361C2212yes—
232#2361C2212yescomplemented
233#2361C2212yescomplemented
234#2361C2212yescomplemented
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2361C2214yescomplemented
238#2361C2212yescomplemented
239#2358C2214yescomplemented
240#2358C2214yescomplemented
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic, complemented
244#2354C2211yescharacteristic, complemented
245#2354C2211yescharacteristic, complemented
246#2354C2212yescomplemented
247#2352C2212yescomplemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic, complemented
252D4×C4⋊C4C2211yescharacteristic, complemented
253D4×C4⋊C4C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic, complemented
255D4×C4⋊C4C2212yescomplemented
256#2346C2211yescharacteristic, complemented
257#2346C2212yescomplemented
258#2346C2211yescharacteristic, complemented
259#2344C2212yescomplemented
260#2342C2214yescomplemented
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yescomplemented
265#2326C2214yescomplemented
266#2324C2212yescomplemented
267#2321C2214yescomplemented
268#2311C2212yescomplemented
269C4×C4⋊Q8C2212yescomplemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×#127C2212yes—
272C4×#127C2211yescharacteristic, complemented
273C4×#127C2212yescomplemented
274C4×#127C2211yescharacteristic, complemented
275C4×#124C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×#121C2211yescharacteristic
278C4×#121C2212yescomplemented
279C4×#121C2211yescharacteristic, complemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic, complemented
284C4×#120C2212yescomplemented
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yescomplemented
288C2×#390C2212yes—
289#2290C2214yescomplemented
290#2290C2214yescomplemented
291#2285C2211yescharacteristic, complemented
292C2×#384C2211yescharacteristic, complemented
293#2280C2212yescomplemented
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2212yescomplemented
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2314yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2314yes—
307C24×C4C2312yes—
308#555—216no—
309#555D4116yescomplemented
310#553—216no—
311#553—216no—
312#553—216no—
313#553—216no—
314#551—232no—
315#551—232no—
316#550—48no—
317#547—216no—
318#547—216no—
319#547—48no—
320#546—232no—
321#546—232no—
322D42—28no—
323D42—48no—
324#544—216no—
325#542—232no—
326#540—232no—
327#535—216no—
328#532—232no—
329#532—28no—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×#127C2311yescharacteristic
336C2×#127C2311yescharacteristic
337C2×#127C2312yes—
338C2×#127C2311yescharacteristic
339C2×#127C2314yes—
340C2×#127C2312yes—
341#529—232no—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#125C2312yes—
347C2×#125C2314yes—
348C2×#125C2312yes—
349C2×#124C2312yes—
350C2×#124C2314yes—
351C2×#124C2314yes—
352C2×#124C2314yes—
353C2×#124C2314yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356#525—216no—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×#121—216no—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2312yes—
423#520—216no—
424#518—216no—
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2312yes—
427C2×C4×D4—28no—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×#117—216no—
470C2×#117C2312yes—
471C2×#117C2314yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2314yes—
477C2×#117C2312yes—
478C2×#117C2311yescharacteristic
479C2×#117C2311yescharacteristic
480C2×#117C2312yes—
481C2×#117C2311yescharacteristic
482C2×#117C2311yescharacteristic
483C2×#117C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C22⋊C4C2314yes—
494C22×C22⋊C4C2314yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2314yes—
497C22×C22⋊C4C2312yes—
498C22×C22⋊C4C2314yes—
499C22×C42C2314yes—
500C22×C42C2311yescharacteristic
501C22×C42C2311yescharacteristic
502C22×C42C2312yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2312yes—
522#397C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2312yes—
530#396C2314yes—
531#396C2314yes—
532#396C2312yes—
533#395C2314yes—
534#395C2314yes—
535#395C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2312yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2312yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2312yes—
575#392C2312yes—
576#392C2312yes—
577#392C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#391C2314yes—
582#391C2312yes—
583#391C2314yes—
584#391C2312yes—
585#391C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2314yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2312yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2314yes—
778#380C2311yescharacteristic
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2312yes—
783#379C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833#376C2312yes—
834#376C2312yes—
835#376C2312yes—
836#376C2312yes—
837C43C2312yes—
838C43C2311yescharacteristic
839C43C2312yes—
840C25C2412yes—
841C25C2414yes—
842C2×#41—216no—
843C2×#41—216no—
844C2×#41—28no—
845C2×#41—28no—
846C2×#41—44no—
847C2×#41—48no—
848C2×#41—48no—
849C2×#41—84no—
850C2×#41—84no—
851C22×Q8C2412yes—
852C22×Q8C2414yes—
853C22×Q8C2412yes—
854C22×D4—28no—
855C22×D4—24no—
856C22×D4—24no—
857C22×D4—216no—
858C22×D4—28no—
859C22×D4—28no—
860C22×D4—44no—
861C22×D4—42no—
862C22×D4—44no—
863C22×D4—44no—
864C22×D4—48no—
865C22×D4—84no—
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C23×C4—28no—
896C23×C4—28no—
897C23×C4—44no—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C4⋊Q8—216no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—44no—
925C4⋊Q8C2×D418yescomplemented
926#127—216no—
927#127—24no—
928#127—28no—
929#127—24no—
930#127—24no—
931#127—44no—
932#126—216no—
933#126—216no—
934#126—216no—
935#126—216no—
936#125—216no—
937#125—28no—
938#125—28no—
939#124—216no—
940#124—216no—
941#124—28no—
942#124—216no—
943#124—84no—
944#124C2×D4116yescomplemented
945#124C2×D4116yescomplemented
946#123—216no—
947#123—216no—
948#123—216no—
949#123—28no—
950#123—216no—
951#123—216no—
952#123—28no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—48no—
957#123—48no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—48no—
965#121—216no—
966#121—28no—
967#121—28no—
968#121—28no—
969#121—216no—
970#121—216no—
971#121—24no—
972#121—28no—
973#121—24no—
974#121—28no—
975#121—28no—
976#121—28no—
977#121—28no—
978#121—28no—
979#121—24no—
980#121—28no—
981#121—216no—
982#121—28no—
983#121—216no—
984#121—216no—
985#121—216no—
986#121—28no—
987#121—44no—
988#121—48no—
989#121—48no—
990#121—48no—
991#121—44no—
992#121—44no—
993#121—42no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—48no—
998#121—82no—
999#121C2×D418yes—
1000#121C2×D418yescomplemented
1001#121C2×D4116yescomplemented
1002#120—28no—
1003#120—216no—
1004#120—28no—
1005#120—216no—
1006#120—216no—
1007#120—48no—
1008#120—44no—
1009#120—48no—
1010#120—48no—
1011C4×Q8—216no—
1012C4×Q8—44no—
1013C4×D4—28no—
1014C4×D4—24no—
1015C4×D4—28no—
1016C4×D4—216no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—216no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—216no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—216no—
1028C4×D4—216no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—48no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—42no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—42no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—42no—
1049C4×D4—82no—
1050C4×D4—84no—
1051C4×D4C2×D418yescomplemented
1052C4×D4C2×D418yescomplemented
1053C4×D4#4118yescomplemented
1054#117—28no—
1055#117—28no—
1056#117—28no—
1057#117—28no—
1058#117—216no—
1059#117—216no—
1060#117—28no—
1061#117—216no—
1062#117—44no—
1063#117—42no—
1064#117—42no—
1065#117C2×D418yescomplemented
1066#117C2×D418yescomplemented
1067#117C2×D4116yescomplemented
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—24no—
1074C2×C4⋊C4—44no—
1075C2×C4⋊C4—44no—
1076C2×C4⋊C4—82no—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C22⋊C4—216no—
1132C2×C22⋊C4—216no—
1133C2×C22⋊C4—216no—
1134C2×C22⋊C4—216no—
1135C2×C22⋊C4—28no—
1136C2×C22⋊C4—84no—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C42—216no—
1215C2×C42—24no—
1216C2×C42—24no—
1217C2×C42—44no—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293C24—24no—
1294C24—24no—
1295C24—24no—
1296C24—28no—
1297C24—28no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24—44no—
1302C24—42no—
1303C24—44no—
1304C24—44no—
1305C24—44no—
1306C24—44no—
1307C24C2514yes—
1308C24C2512yes—
1309C24C2512yes—
1310C24C2511yescharacteristic
1311C24C2511yescharacteristic
1312C24C2512yes—
1313C24C2512yes—
1314#41—432no—
1315#41—832no—
1316#41—832no—
1317C2×Q8—24no—
1318C2×Q8—28no—
1319C2×Q8—24no—
1320C2×Q8—42no—
1321C2×Q8—42no—
1322C2×Q8—42no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8C22×D418yes—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—28no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—28no—
1343C2×D4—28no—
1344C2×D4—28no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—432no—
1371C2×D4—42no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—416no—
1409C2×D4—816no—
1410C2×D4—832no—
1411C2×D4C22×D414yes—
1412C2×D4C22×D414yes—
1413C2×D4C22×D418yes—
1414C2×D4C22×D418yes—
1415C2×D4C2×#4114yes—
1416C2×D4H(5,𝔽2)14yes—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—28no—
1426C22×C4—28no—
1427C22×C4—28no—
1428C22×C4—24no—
1429C22×C4—28no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—28no—
1452C22×C4—28no—
1453C22×C4—28no—
1454C22×C4—28no—
1455C22×C4—22no—
1456C22×C4—42no—
1457C22×C4—41no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—432no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—41no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—41no—
1483C22×C4C22×D414yes—
1484C22×C4C22×D414yes—
1485C22×C4C22×D418yes—
1486C22×C4C2×#4118yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2514yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2514yes—
1501C22×C4C2512yes—
1502C22×C4C2514yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—28no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—41no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4C22×D414yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D418yes—
1568C4⋊C4C2×#4114yes—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—22no—
1604C22⋊C4—28no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—41no—
1613C22⋊C4—41no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—41no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4C22×D418yes—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D418yes—
1641C22⋊C4C22×D418yes—
1642C22⋊C4C22×D418yes—
1643C22⋊C4C22×D414yes—
1644C22⋊C4C22×D414yes—
1645C22⋊C4C2×#4118yes—
1646C42—28no—
1647C42—28no—
1648C42—28no—
1649C42—28no—
1650C42—24no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—24no—
1658C42—24no—
1659C42—22no—
1660C42—22no—
1661C42—24no—
1662C42—24no—
1663C42—22no—
1664C42—42no—
1665C42—42no—
1666C42—42no—
1667C42—42no—
1668C42—42no—
1669C42—41no—
1670C42—42no—
1671C42—41no—
1672C42—42no—
1673C42C22×D418yes—
1674C42C22×D414yes—
1675C42C22×D418yes—
1676C42C2×#4114yes—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—22no—
1685C23—21no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—21no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—24no—
1711C23—22no—
1712C23—24no—
1713C23—24no—
1714C23—22no—
1715C23—24no—
1716C23—24no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—24no—
1721C23—48no—
1722C23—48no—
1723C23—48no—
1724C23—416no—
1725C23—84no—
1726C23—84no—
1727C23—84no—
1728C23—88no—
1729C23—88no—
1730C23—88no—
1731C23—88no—
1732C23—84no—
1733C23—164no—
1734C23—164no—
1735C23C23×D414yes—
1736C23C23×D412yes—
1737C23C23×D412yes—
1738C23C22×#4114yes—
1739C23C2×H(5,𝔽2)14yes—
1740C23C2611yescharacteristic
1741Q8—48no—
1742Q8—48no—
1743Q8—88no—
1744D4—28no—
1745D4—28no—
1746D4—28no—
1747D4—48no—
1748D4—44no—
1749D4—48no—
1750D4—48no—
1751D4—416no—
1752D4—416no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—416no—
1758D4—48no—
1759D4—48no—
1760D4—48no—
1761D4—44no—
1762D4—48no—
1763D4—84no—
1764D4—88no—
1765D4—84no—
1766D4—88no—
1767D4—84no—
1768D4—88no—
1769D4—88no—
1770D4—88no—
1771D4—88no—
1772D4—164no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—28no—
1794C2×C4—216no—
1795C2×C4—28no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—48no—
1845C2×C4—44no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—416no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—48no—
1855C2×C4—82no—
1856C2×C4—88no—
1857C2×C4—88no—
1858C2×C4—88no—
1859C2×C4—88no—
1860C2×C4—88no—
1861C2×C4—88no—
1862C2×C4—88no—
1863C2×C4—84no—
1864C2×C4C23×D414yes—
1865C2×C4C23×D412yes—
1866C2×C4C23×D414yes—
1867C2×C4C23×D412yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D414yes—
1871C2×C4C23×D412yes—
1872C2×C4C22×#4112yes—
1873C2×C4C22×#4114yes—
1874C2×C4C22×#4112yes—
1875C2×C4C22×#4112yes—
1876C2×C4C2×H(5,𝔽2)12yes—
1877C2×C4#58512yes—
1878C2×C4#58512yes—
1879C2×C4#58512yes—
1880C22—24no—
1881C22—22no—
1882C22—24no—
1883C22—22no—
1884C22—24no—
1885C22—24no—
1886C22—24no—
1887C22—24no—
1888C22—24no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—24no—
1893C22—22no—
1894C22—24no—
1895C22—42no—
1896C22—41no—
1897C22—41no—
1898C22—42no—
1899C22—42no—
1900C22—41no—
1901C22—41no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—41no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—41no—
1911C22—42no—
1912C22—41no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—44no—
1917C22—42no—
1918C22—44no—
1919C22—42no—
1920C22—44no—
1921C22—44no—
1922C22—42no—
1923C22—44no—
1924C22—42no—
1925C22—42no—
1926C22—44no—
1927C22—42no—
1928C22—44no—
1929C22—816no—
1930C22—1616no—
1931C22C24×D411yescharacteristic
1932C22C23×#4111yescharacteristic
1933C22C22×H(5,𝔽2)11yescharacteristic
1934C22C2×#58511yescharacteristic
1935C22C2×#58511yescharacteristic
1936C22C2×#58511yescharacteristic
1937C22H(7,𝔽2)11yescharacteristic
1938C4—24no—
1939C4—24no—
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—22no—
1944C4—24no—
1945C4—22no—
1946C4—24no—
1947C4—22no—
1948C4—44no—
1949C4—44no—
1950C4—42no—
1951C4—41no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4—41no—
1956C4—41no—
1957C4—42no—
1958C4—42no—
1959C4—44no—
1960C4—42no—
1961C4—41no—
1962C4—42no—
1963C4—42no—
1964C4D4×#4114yes—
1965C4#349414yescomplemented
1966C2—42no—
1967C2—44no—
1968C2—42no—
1969C2—44no—
1970C2—44no—
1971C2—82no—
1972C2—84no—
1973C2C2×D4×#4111yescharacteristic
1974C2C2×#349411yescharacteristic
1975C2#6281211yescharacteristic
1976C2#6293711yescharacteristic
1977C2D4×H(5,𝔽2)11yescharacteristic
1978C2#6300811yescharacteristic
1979C2#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. #59843C2semidirect
3. #59815C2semidirect
4. #59808C2semidirect
5. #59412C2semidirect
6. #59313C2semidirect
7. #59213C2semidirect
8. #59184C2semidirect
9. #59028C2semidirect
10. #44878C2semidirect
11. #44871C2semidirect
12. #44779C2semidirect
13. #43923C2semidirect
14. #39410C2semidirect
15. #39398C2semidirect
16. #39370C2semidirect
17. #39342C2semidirect
18. #38382C2semidirect
19. #37846C2semidirect
20. #36472C2semidirect
21. #36468C2semidirect
22. #36273C2semidirect
23. #36264C2semidirect
24. #36235C2semidirect
25. #36182C2semidirect
26. #36125C2semidirect
27. D4×#121C2semidirect
28. #36083C2semidirect
29. #35823C2semidirect
30. #34914C2semidirect
31. #34681C2semidirect
32. #34310C2semidirect
33. #34207C2semidirect
34. C4×#555C2semidirect
35. D4×#117C2semidirect
38. C2×#555C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#551C22semidirect
44. C2×#551C22semidirect
45. C2×#550C22semidirect
46. C2×#547C22semidirect
47. C2×#547C22semidirect
48. C2×#547C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
53. C2×#544C22semidirect
54. C2×#542C22semidirect
55. C2×#540C22semidirect
56. C2×#535C22semidirect
58. C2×#532C22semidirect
59. C2×#529C22semidirect
60. C2×#525C22semidirect
62. C2×#520C22semidirect
63. C2×#518C22semidirect
65. C22×#117C22semidirect
66. #2860C22semidirect
67. #2859C22semidirect
68. #2858C22semidirect
70. #2856C22semidirect
71. #2854C22semidirect
72. #2850C22semidirect
74. #2729C22semidirect
75. #2729C22semidirect
76. #2728C22semidirect
77. #2709C22semidirect
78. #2708C22semidirect
79. #2707C22semidirect
80. #2704C22semidirect
81. #2701C22semidirect
82. #2700C22semidirect
83. #2699C22semidirect
84. #2697C22semidirect
85. #2688C22semidirect
86. #2687C22semidirect
87. #2682C22semidirect
88. #2681C22semidirect
89. #2680C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2670C22semidirect
94. #2669C22semidirect
95. #2637C22semidirect
96. #2630C22semidirect
97. #2629C22semidirect
98. #2615C22semidirect
99. #2610C22semidirect
100. #2610C22semidirect
101. #2609C22semidirect
102. #2603C22semidirect
103. #2603C22semidirect
104. #2602C22semidirect
105. #2566C22semidirect
106. #2562C22semidirect
107. #2560C22semidirect
108. #2559C22semidirect
109. #2559C22semidirect
110. #2558C22semidirect
111. #2557C22semidirect
112. #2555C22semidirect
113. #2554C22semidirect
114. #2552C22semidirect
115. #2551C22semidirect
116. #2546C22semidirect
118. #2541C22semidirect
119. #2541C22semidirect
121. #2538C22semidirect
123. #2537C22semidirect
124. #2537C22semidirect
125. #2537C22semidirect
126. #2535C22semidirect
127. #2535C22semidirect
128. #2534C22semidirect
129. #2512C22semidirect
130. #2512C22semidirect
131. #2506C22semidirect
132. #2504C22semidirect
133. #2500C22semidirect
134. #2496C22semidirect
135. #2496C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
138. #2491C22semidirect
139. #2490C22semidirect
140. #2486C22semidirect
141. #2486C22semidirect
142. #2486C22semidirect
143. #2485C22semidirect
144. #2480C22semidirect
145. #2480C22semidirect
146. #2476C22semidirect
147. #2474C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2472C22semidirect
151. #2468C22semidirect
152. #2468C22semidirect
153. #2464C22semidirect
154. #2464C22semidirect
155. #2464C22semidirect
156. #2464C22semidirect
157. #2464C22semidirect
158. #2464C22semidirect
159. #2464C22semidirect
160. #2461C22semidirect
161. #2461C22semidirect
162. #2457C22semidirect
163. #2457C22semidirect
164. #2457C22semidirect
166. #2452C22semidirect
168. #2445C22semidirect
169. #2445C22semidirect
170. #2442C22semidirect
171. #2442C22semidirect
172. #2440C22semidirect
173. #2440C22semidirect
174. #2440C22semidirect
175. #2439C22semidirect
178. #2432C22semidirect
179. #2431C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2420C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2414C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2411C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2407C22semidirect
214. #2407C22semidirect
215. #2406C22semidirect
216. #2405C22semidirect
217. #2404C22semidirect
218. #2398C22semidirect
219. #2392C22semidirect
220. #2392C22semidirect
221. #2388C22semidirect
222. #2372C22semidirect
223. #2372C22semidirect
224. #2369C22semidirect
225. #2366C22semidirect
227. #2363C22semidirect
228. #2363C22semidirect
229. #2363C22semidirect
230. #2363C22semidirect
232. #2361C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2358C22semidirect
240. #2358C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2352C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. D4×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. #2346C22semidirect
257. #2346C22semidirect
258. #2346C22semidirect
259. #2344C22semidirect
260. #2342C22semidirect
264. D4×C22⋊C4C22semidirect
265. #2326C22semidirect
266. #2324C22semidirect
267. #2321C22semidirect
268. #2311C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
272. C4×#127C22semidirect
273. C4×#127C22semidirect
274. C4×#127C22semidirect
275. C4×#124C22semidirect
276. C4×#124C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#120C22semidirect
287. #2293C22semidirect
289. #2290C22semidirect
290. #2290C22semidirect
291. #2285C22semidirect
292. C2×#384C22semidirect
293. #2280C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
299. C4×#117C22semidirect
309. #555D4semidirect
925. C4⋊Q8C2×D4semidirect
944. #124C2×D4semidirect
945. #124C2×D4semidirect
1000. #121C2×D4semidirect
1001. #121C2×D4semidirect
1051. C4×D4C2×D4semidirect
1052. C4×D4C2×D4semidirect
1053. C4×D4#41semidirect
1065. #117C2×D4semidirect
1066. #117C2×D4semidirect
1067. #117C2×D4semidirect
1965. C4#3494semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
#598432
#598152
#598082
#594122
#593132
#592132
#591842
#590282
#448782
#448712
#447792
#439232
#394102
#393982
#393702
#393422
#383822
#378462
#364722
#364682
#362732
#362642
#362352
#361822
#361252
D4×#1212
#360832
#358232
#349142
#346812
#343102
#342072
C4×#5552
D4×#1172