Finite Group Databasebeta

← #7685729

Subgroups — #7685729

Order 512.

7811 conjugacy classes of subgroups.

The subgroup lattice has 1991 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C212yesmaximal, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59820C212yesmaximal, complemented
4#59375C212yesmaximal, complemented
5#59304C211yesmaximal, characteristic, complemented
6#59229C211yesmaximal, characteristic, complemented
7#59095C212yesmaximal, complemented
8#59087C214yesmaximal, complemented
9#59013C212yesmaximal, complemented
10#44893C212yesmaximal, complemented
11#44887C212yesmaximal, complemented
12#43928C214yesmaximal, complemented
13#43921C214yesmaximal, complemented
14#39411C212yesmaximal, complemented
15#39402C212yesmaximal, complemented
16#39370C211yesmaximal, characteristic, complemented
17#39342C211yesmaximal, characteristic, complemented
18#38368C214yesmaximal, complemented
19#37836C212yesmaximal, complemented
20#36596C211yesmaximal, characteristic, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36426C212yesmaximal, complemented
23#36258C212yesmaximal, complemented
24#36182C211yesmaximal, characteristic, complemented
25#36126C211yesmaximal, characteristic, complemented
26#36118C212yesmaximal, complemented
27D4×#121C211yesmaximal, characteristic, complemented
28#35823C212yesmaximal, complemented
29#35752C212yesmaximal, complemented
30#34937C212yesmaximal, complemented
31#34681C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36#3494—232no—
37C2×#555C2212yescomplemented
38C2×#555C2212yescomplemented
39C2×#553C2212yes—
40C2×#553C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#551C2214yescomplemented
44C2×#551C2214yescomplemented
45C2×#547C2211yescharacteristic
46C2×#547C2212yescomplemented
47C2×#546C2214yescomplemented
48C2×#546C2214yescomplemented
49C2×D42C2211yescharacteristic
50C2×D42C2212yes—
51C2×#544C2212yescomplemented
52C2×#542C2214yescomplemented
53C2×#540C2214yescomplemented
54C2×#535C2212yescomplemented
55C2×#532C2211yescharacteristic
56C2×#532C2214yescomplemented
57C2×#532C2212yescomplemented
58C2×#529C2214yescomplemented
59C2×#525C2212yescomplemented
60C22×#121C2212yes—
61C2×#520C2212yescomplemented
62C2×#518C2212yescomplemented
63C2×C4×#41C2212yescomplemented
64C22×C4×D4C2211yescharacteristic
65C22×#117C2212yescomplemented
66#2859C2211yescharacteristic, complemented
67#2856C2211yescharacteristic
68#2856C2211yescharacteristic, complemented
69#2856C2212yescomplemented
70#2854C2212yescomplemented
71#2854C2212yescomplemented
72#2853C2214yescomplemented
73#2847C2212yes—
74#2733C2214yescomplemented
75#2731C2214yescomplemented
76#2730C2214yescomplemented
77#2729C2214yescomplemented
78#2718C2214yescomplemented
79#2712C2214yescomplemented
80#2711C2214yescomplemented
81#2705C2214yescomplemented
82#2704C2214yescomplemented
83#2703C2214yescomplemented
84#2702C2214yescomplemented
85#2693C2214yescomplemented
86#2691C2214yescomplemented
87#2686C2214yescomplemented
88#2684C2214yescomplemented
89#2676C2214yescomplemented
90#2673C2214yescomplemented
91#2671C2214yescomplemented
92#2670C2214yescomplemented
93#2670C2214yescomplemented
94#2669C2214yescomplemented
95#2635C2214yescomplemented
96#2630C2214yescomplemented
97#2629C2212yescomplemented
98#2615C2212yescomplemented
99#2602C2214yescomplemented
100#2600C2214yescomplemented
101#2566C2212yescomplemented
102#2562C2212yescomplemented
103#2559C2214yescomplemented
104#2554C2214yescomplemented
105#2552C2211yescharacteristic, complemented
106#2551C2211yescharacteristic, complemented
107#2548C2212yescomplemented
108#2548C2212yescomplemented
109#2547C2212yescomplemented
110#2546C2212yescomplemented
111#2545C2214yescomplemented
112#2544C2214yescomplemented
113#2543C2214yescomplemented
114#2543C2214yescomplemented
115#2543C2214yescomplemented
116#2541C2211yescharacteristic
117#2541C2211yescharacteristic, complemented
118#2541C2212yescomplemented
119#2541C2212yescomplemented
120#2538C2212yes—
121#2537C2211yescharacteristic
122#2537C2211yescharacteristic, complemented
123#2537C2212yescomplemented
124#2535C2212yescomplemented
125#2534C2214yescomplemented
126#2512C2212yescomplemented
127#2512C2212yescomplemented
128#2512C2212yescomplemented
129#2506C2212yescomplemented
130#2504C2212yescomplemented
131#2501C2212yescomplemented
132#2500C2212yescomplemented
133#2496C2212yescomplemented
134#2496C2212yescomplemented
135#2491C2212yescomplemented
136#2491C2212yescomplemented
137#2491C2212yescomplemented
138#2490C2212yescomplemented
139#2487C2212yescomplemented
140#2485C2212yescomplemented
141#2480C2214yescomplemented
142#2480C2214yescomplemented
143#2477C2214yescomplemented
144#2477C2214yescomplemented
145#2477C2214yescomplemented
146#2475C2214yescomplemented
147#2474C2214yescomplemented
148#2474C2214yescomplemented
149#2472C2212yescomplemented
150#2471C2214yescomplemented
151#2471C2214yescomplemented
152#2469C2214yescomplemented
153#2468C2214yescomplemented
154#2467C2214yescomplemented
155#2464C2212yescomplemented
156#2464C2214yescomplemented
157#2461C2214yescomplemented
158#2461C2212yescomplemented
159#2458C2214yescomplemented
160#2456C2214yescomplemented
161#2452C2212yes—
162#2452C2212yescomplemented
163#2452C2211yescharacteristic, complemented
164#2450C2214yescomplemented
165#2445C2211yescharacteristic
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2442C2212yescomplemented
171#2441C2212yescomplemented
172#2440C2211yescharacteristic, complemented
173#2439C2212yescomplemented
174#2439C2212yescomplemented
175#2433C2211yescharacteristic
176#2433C2212yes—
177#2430C2214yescomplemented
178#2428C2212yes—
179#2428C2212yescomplemented
180#2428C2211yescharacteristic, complemented
181#2426C2214yescomplemented
182#2424C2214yes—
183#2424C2214yescomplemented
184#2424C2212yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2422C2211yescharacteristic
189#2422C2212yescomplemented
190#2422C2212yescomplemented
191#2422C2212yescomplemented
192#2420C2212yescomplemented
193#2416C2212yes—
194#2416C2212yes—
195#2416C2212yescomplemented
196#2416C2212yescomplemented
197#2416C2212yescomplemented
198#2416C2212yescomplemented
199#2416C2212yescomplemented
200#2416C2211yescharacteristic, complemented
201#2416C2212yescomplemented
202#2414C2212yescomplemented
203#2414C2212yescomplemented
204#2414C2212yescomplemented
205#2414C2214yescomplemented
206#2414C2214yescomplemented
207#2412C2214yescomplemented
208#2411C2214yescomplemented
209#2411C2214yescomplemented
210#2411C2214yescomplemented
211#2410C2214yes—
212#2410C2214yescomplemented
213#2408C2212yes—
214#2408C2211yescharacteristic
215#2408C2212yes—
216#2408C2212yescomplemented
217#2404C2214yescomplemented
218#2392C2212yescomplemented
219#2392C2214yescomplemented
220#2392C2214yescomplemented
221#2388C2212yescomplemented
222#2367C2214yescomplemented
223#2366C2212yes—
224#2366C2211yescharacteristic, complemented
225#2365C2212yescomplemented
226#2365C2211yescharacteristic, complemented
227#2363C2212yescomplemented
228#2363C2212yescomplemented
229#2362C2212yescomplemented
230#2361C2211yescharacteristic
231#2361C2212yescomplemented
232#2361C2212yescomplemented
233#2361C2212yescomplemented
234#2361C2212yescomplemented
235#2361C2211yescharacteristic, complemented
236#2359C2212yescomplemented
237#2359C2212yescomplemented
238#2358C2214yescomplemented
239#2354C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2212yescomplemented
243#2354C2212yescomplemented
244#2354C2211yescharacteristic, complemented
245#2354C2211yescharacteristic, complemented
246#2354C2214yescomplemented
247#2354C2212yescomplemented
248#2354C2212yescomplemented
249#2354C2211yescharacteristic, complemented
250#2354C2211yescharacteristic, complemented
251#2352C2212yescomplemented
252#2352C2212yescomplemented
253#2352C2212yescomplemented
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic, complemented
256D4×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2211yescharacteristic, complemented
258D4×C4⋊C4C2211yescharacteristic, complemented
259#2344C2212yescomplemented
260#2344C2211yescharacteristic, complemented
261#2344C2211yescharacteristic, complemented
262#2339C2212yescomplemented
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2212yescomplemented
266D4×C22⋊C4C2214yescomplemented
267#2325C2214yescomplemented
268#2324C2212yescomplemented
269#2321C2214yescomplemented
270#2311C2212yescomplemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×#127C2211yescharacteristic, complemented
273C4×#127C2211yescharacteristic, complemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yescomplemented
280C4×#121C2211yescharacteristic, complemented
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#120C2212yescomplemented
287#2297C2214yescomplemented
288#2293C2211yescharacteristic
289C2×#390C2212yes—
290C2×#390C2212yes—
291C2×#388C2214yescomplemented
292#2285C2211yescharacteristic, complemented
293C2×#384C2211yescharacteristic, complemented
294C2×#380C2212yescomplemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2311yescharacteristic
305C23×D4C2312yes—
306C23×D4C2314yes—
307C24×C4C2312yes—
308#555—216no—
309#555—216no—
310#553—216no—
311#553—216no—
312#553—216no—
313#553—216no—
314#551—232no—
315#551—232no—
316#547—216no—
317#547D4116yescomplemented
318#546—232no—
319#546—232no—
320D42—28no—
321D42—48no—
322#544—216no—
323#542—232no—
324#540—232no—
325#535—216no—
326#532—232no—
327#532—28no—
328#532—48no—
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#127C2311yescharacteristic
336C2×#127C2314yes—
337C2×#127C2311yescharacteristic
338C2×#127C2312yes—
339C2×#127C2312yes—
340#529—232no—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#125C2312yes—
346C2×#125C2314yes—
347C2×#125C2312yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#124C2314yes—
352C2×#124C2314yes—
353C2×#124C2314yes—
354C2×#124C2314yes—
355#525—216no—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2312yes—
366C2×#123C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×#121—216no—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2311yescharacteristic
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2311yescharacteristic
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2311yescharacteristic
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2311yescharacteristic
411C2×#120C2314yes—
412C2×#120C2312yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2312yes—
416C2×#120C2314yes—
417C2×#120C2312yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420#520—216no—
421#518—216no—
422C4×#41—48no—
423C2×C4×Q8C2314yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×D4—28no—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
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×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×#117—216no—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2314yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2314yes—
477C2×#117C2312yes—
478C2×#117C2314yes—
479C2×#117C2314yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C22⋊C4C2314yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2314yes—
497C22×C22⋊C4C2314yes—
498C22×C22⋊C4C2312yes—
499C22×C22⋊C4C2314yes—
500C22×C22⋊C4C2314yes—
501C22×C42C2314yes—
502C22×C42C2312yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505C22×C42C2312yes—
506C22×C42C2312yes—
507#400C2314yes—
508#400C2314yes—
509#400C2314yes—
510#399C2314yes—
511#399C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2312yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2312yes—
530#396C2312yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#395C2312yes—
538#395C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#393C2314yes—
566#393C2312yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2312yes—
576#392C2314yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2312yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#391C2312yes—
586#391C2314yes—
587#391C2312yes—
588#391C2314yes—
589#391C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2311yescharacteristic
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#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#382C2312yes—
759#382C2312yes—
760#381C2312yes—
761#381C2312yes—
762#381C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#379C2314yes—
787#379C2314yes—
788#379C2312yes—
789#379C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2311yescharacteristic
836C2×#95C2312yes—
837C2×#95C2312yes—
838C2×#95C2314yes—
839C43C2311yescharacteristic
840C25C2412yes—
841C25C2414yes—
842C2×#41—28no—
843C2×#41—216no—
844C2×#41—28no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—48no—
849C2×#41—48no—
850C2×#41C2×D4116yescomplemented
851C22×Q8C2412yes—
852C22×Q8C2414yes—
853C22×Q8C2412yes—
854C22×D4—28no—
855C22×D4—24no—
856C22×D4—216no—
857C22×D4—28no—
858C22×D4—28no—
859C22×D4—24no—
860C22×D4—42no—
861C22×D4—44no—
862C22×D4—44no—
863C22×D4—44no—
864C22×D4—48no—
865C22×D4—48no—
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C23×C4—28no—
896C23×C4—28no—
897C23×C4—44no—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C4⋊Q8—216no—
924C4⋊Q8—28no—
925C4⋊Q8—24no—
926C4⋊Q8—44no—
927C4⋊Q8C2×D418yescomplemented
928#127—216no—
929#127—24no—
930#127—24no—
931#127—42no—
932#127—44no—
933#127—44no—
934#126—216no—
935#126—216no—
936#126—216no—
937#126—216no—
938#125—216no—
939#125—28no—
940#125—28no—
941#124—216no—
942#124—216no—
943#124—216no—
944#124—216no—
945#124—216no—
946#124—28no—
947#124—48no—
948#123—216no—
949#123—216no—
950#123—28no—
951#123—216no—
952#123—216no—
953#123—28no—
954#123—216no—
955#123—216no—
956#123—84no—
957#123C2×D4116yescomplemented
958#123C2×D4116yescomplemented
959C22⋊Q8—216no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—28no—
964C22⋊Q8C2×D4116yescomplemented
965#121—216no—
966#121—28no—
967#121—28no—
968#121—216no—
969#121—216no—
970#121—28no—
971#121—216no—
972#121—24no—
973#121—28no—
974#121—28no—
975#121—216no—
976#121—28no—
977#121—24no—
978#121—28no—
979#121—28no—
980#121—28no—
981#121—216no—
982#121—24no—
983#121—28no—
984#121—216no—
985#121—28no—
986#121—216no—
987#121—28no—
988#121—48no—
989#121—42no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—48no—
997#121—84no—
998#121—84no—
999#121—82no—
1000#121C2×D418yes—
1001#121C2×D418yescomplemented
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—84no—
1011C4×Q8—216no—
1012C4×Q8—44no—
1013C4×Q8—44no—
1014C4×D4—28no—
1015C4×D4—216no—
1016C4×D4—24no—
1017C4×D4—216no—
1018C4×D4—216no—
1019C4×D4—216no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—216no—
1023C4×D4—216no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—216no—
1030C4×D4—24no—
1031C4×D4—216no—
1032C4×D4—216no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—44no—
1040C4×D4—48no—
1041C4×D4—42no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—42no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—82no—
1052C4×D4C2×D418yescomplemented
1053C4×D4C2×D418yescomplemented
1054C4×D4#4118yescomplemented
1055#117—28no—
1056#117—28no—
1057#117—28no—
1058#117—216no—
1059#117—216no—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—216no—
1064#117—216no—
1065#117—28no—
1066#117—44no—
1067#117—44no—
1068#117—44no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—24no—
1073C2×C4⋊C4—44no—
1074C2×C4⋊C4—44no—
1075C2×C4⋊C4—42no—
1076C2×C4⋊C4—42no—
1077C2×C4⋊C4—82no—
1078C2×C4⋊C4C2×D418yescomplemented
1079C2×C4⋊C4C2×D418yescomplemented
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C22⋊C4—216no—
1137C2×C22⋊C4—216no—
1138C2×C22⋊C4—216no—
1139C2×C22⋊C4—216no—
1140C2×C22⋊C4—28no—
1141C2×C22⋊C4—84no—
1142C2×C22⋊C4—84no—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2412yes—
1218C2×C42—216no—
1219C2×C42—28no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—44no—
1223C2×C42—44no—
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297C24—24no—
1298C24—24no—
1299C24—24no—
1300C24—24no—
1301C24—28no—
1302C24—28no—
1303C24—42no—
1304C24—42no—
1305C24—42no—
1306C24—44no—
1307C24—44no—
1308C24—44no—
1309C24—44no—
1310C24—44no—
1311C24C2512yes—
1312C24C2514yes—
1313C24C2512yes—
1314C24C2512yes—
1315C24C2511yescharacteristic
1316C24C2512yes—
1317C24C2511yescharacteristic
1318#41—432no—
1319#41—432no—
1320#41—832no—
1321C2×Q8—24no—
1322C2×Q8—28no—
1323C2×Q8—24no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—44no—
1328C2×Q8—44no—
1329C2×Q8C22×D418yes—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—28no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—432no—
1377C2×D4—416no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—816no—
1415C2×D4—832no—
1416C2×D4C22×D414yes—
1417C2×D4C22×D418yes—
1418C2×D4C22×D414yes—
1419C2×D4C22×D418yes—
1420C2×D4C2×#4114yes—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—28no—
1435C22×C4—28no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—28no—
1455C22×C4—28no—
1456C22×C4—28no—
1457C22×C4—28no—
1458C22×C4—22no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—432no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—41no—
1483C22×C4—42no—
1484C22×C4—44no—
1485C22×C4—41no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4C22×D418yes—
1491C22×C4C22×D414yes—
1492C22×C4C22×D414yes—
1493C22×C4C22×D418yes—
1494C22×C4C22×D418yes—
1495C22×C4C2×#4118yes—
1496C22×C4H(5,𝔽2)14yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2514yes—
1510C22×C4C2514yes—
1511C22×C4C2514yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—28no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—44no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—41no—
1568C4⋊C4—42no—
1569C4⋊C4—44no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4C22×D414yes—
1574C4⋊C4C22×D414yes—
1575C4⋊C4C22×D414yes—
1576C4⋊C4C22×D418yes—
1577C4⋊C4C22×D418yes—
1578C4⋊C4C22×D418yes—
1579C4⋊C4C22×D414yes—
1580C4⋊C4C2×#4114yes—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—22no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—41no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4C22×D418yes—
1651C22⋊C4C22×D418yes—
1652C22⋊C4C22×D418yes—
1653C22⋊C4C22×D414yes—
1654C22⋊C4C22×D414yes—
1655C22⋊C4C2×#4118yes—
1656C42—28no—
1657C42—28no—
1658C42—28no—
1659C42—28no—
1660C42—28no—
1661C42—28no—
1662C42—24no—
1663C42—22no—
1664C42—22no—
1665C42—22no—
1666C42—22no—
1667C42—22no—
1668C42—22no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—22no—
1674C42—24no—
1675C42—22no—
1676C42—22no—
1677C42—42no—
1678C42—42no—
1679C42—42no—
1680C42—42no—
1681C42—41no—
1682C42—41no—
1683C42C22×D414yes—
1684C42C2×#4114yes—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—22no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—22no—
1714C23—24no—
1715C23—22no—
1716C23—24no—
1717C23—22no—
1718C23—24no—
1719C23—22no—
1720C23—22no—
1721C23—24no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—22no—
1728C23—48no—
1729C23—48no—
1730C23—48no—
1731C23—416no—
1732C23—48no—
1733C23—84no—
1734C23—84no—
1735C23—84no—
1736C23—88no—
1737C23—88no—
1738C23—88no—
1739C23—88no—
1740C23—164no—
1741C23—164no—
1742C23C23×D414yes—
1743C23C23×D412yes—
1744C23C23×D412yes—
1745C23C22×#4114yes—
1746C23C2×H(5,𝔽2)12yes—
1747C23#58512yes—
1748C23C2611yescharacteristic
1749Q8—48no—
1750Q8—48no—
1751Q8—88no—
1752D4—216no—
1753D4—28no—
1754D4—28no—
1755D4—28no—
1756D4—48no—
1757D4—48no—
1758D4—416no—
1759D4—48no—
1760D4—48no—
1761D4—48no—
1762D4—416no—
1763D4—48no—
1764D4—48no—
1765D4—44no—
1766D4—44no—
1767D4—48no—
1768D4—84no—
1769D4—84no—
1770D4—88no—
1771D4—88no—
1772D4—84no—
1773D4—88no—
1774D4—88no—
1775D4—84no—
1776D4—88no—
1777D4—88no—
1778D4—84no—
1779D4—88no—
1780D4—164no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—216no—
1802C2×C4—28no—
1803C2×C4—216no—
1804C2×C4—28no—
1805C2×C4—28no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—48no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—44no—
1858C2×C4—48no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—44no—
1863C2×C4—48no—
1864C2×C4—88no—
1865C2×C4—82no—
1866C2×C4—88no—
1867C2×C4—88no—
1868C2×C4—88no—
1869C2×C4—88no—
1870C2×C4—88no—
1871C2×C4—84no—
1872C2×C4—84no—
1873C2×C4—84no—
1874C2×C4C23×D412yes—
1875C2×C4C23×D414yes—
1876C2×C4C23×D414yes—
1877C2×C4C23×D414yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4C22×#4112yes—
1883C2×C4C22×#4114yes—
1884C2×C4C22×#4112yes—
1885C2×C4C22×#4112yes—
1886C2×C4C2×H(5,𝔽2)12yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4#58512yes—
1889C2×C4#58512yes—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—24no—
1897C22—22no—
1898C22—24no—
1899C22—22no—
1900C22—24no—
1901C22—24no—
1902C22—24no—
1903C22—22no—
1904C22—24no—
1905C22—42no—
1906C22—41no—
1907C22—42no—
1908C22—42no—
1909C22—41no—
1910C22—42no—
1911C22—42no—
1912C22—41no—
1913C22—42no—
1914C22—41no—
1915C22—42no—
1916C22—42no—
1917C22—44no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—44no—
1922C22—42no—
1923C22—42no—
1924C22—44no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—44no—
1929C22—42no—
1930C22—44no—
1931C22—42no—
1932C22—42no—
1933C22—44no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—44no—
1938C22—816no—
1939C22—1616no—
1940C22#349614yes—
1941C22C24×D411yescharacteristic
1942C22C23×#4111yescharacteristic
1943C22C22×H(5,𝔽2)11yescharacteristic
1944C22C2×#58511yescharacteristic
1945C22C2×#58511yescharacteristic
1946C22C2×#58511yescharacteristic
1947C22H(7,𝔽2)11yescharacteristic
1948C4—22no—
1949C4—22no—
1950C4—24no—
1951C4—24no—
1952C4—22no—
1953C4—24no—
1954C4—22no—
1955C4—22no—
1956C4—24no—
1957C4—22no—
1958C4—44no—
1959C4—42no—
1960C4—44no—
1961C4—41no—
1962C4—41no—
1963C4—44no—
1964C4—42no—
1965C4—41no—
1966C4—41no—
1967C4—42no—
1968C4—41no—
1969C4—42no—
1970C4—42no—
1971C4—42no—
1972C4—42no—
1973C4—42no—
1974C4D4×#4114yes—
1975C4#349414yescomplemented
1976C2—24no—
1977C2—42no—
1978C2—44no—
1979C2—44no—
1980C2—82no—
1981C2—82no—
1982C2—84no—
1983C2C2×D4×#4111yescharacteristic
1984C2C2×#349611yescharacteristic
1985C2C2×#349411yescharacteristic
1986C2#6293011yescharacteristic
1987C2#6300311yescharacteristic
1988C2#6300811yescharacteristic
1989C2#6302911yescharacteristic
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. #59822C2semidirect
3. #59820C2semidirect
4. #59375C2semidirect
5. #59304C2semidirect
6. #59229C2semidirect
7. #59095C2semidirect
8. #59087C2semidirect
9. #59013C2semidirect
10. #44893C2semidirect
11. #44887C2semidirect
12. #43928C2semidirect
13. #43921C2semidirect
14. #39411C2semidirect
15. #39402C2semidirect
16. #39370C2semidirect
17. #39342C2semidirect
18. #38368C2semidirect
19. #37836C2semidirect
20. #36596C2semidirect
21. #36468C2semidirect
22. #36426C2semidirect
23. #36258C2semidirect
24. #36182C2semidirect
25. #36126C2semidirect
26. #36118C2semidirect
27. D4×#121C2semidirect
28. #35823C2semidirect
29. #35752C2semidirect
30. #34937C2semidirect
31. #34681C2semidirect
32. #34310C2semidirect
33. #34206C2semidirect
34. C4×#547C2semidirect
35. C2×#2354C2semidirect
37. C2×#555C22semidirect
38. C2×#555C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#551C22semidirect
44. C2×#551C22semidirect
46. C2×#547C22semidirect
47. C2×#546C22semidirect
48. C2×#546C22semidirect
51. C2×#544C22semidirect
52. C2×#542C22semidirect
53. C2×#540C22semidirect
54. C2×#535C22semidirect
56. C2×#532C22semidirect
57. C2×#532C22semidirect
58. C2×#529C22semidirect
59. C2×#525C22semidirect
61. C2×#520C22semidirect
62. C2×#518C22semidirect
63. C2×C4×#41C22semidirect
65. C22×#117C22semidirect
66. #2859C22semidirect
68. #2856C22semidirect
69. #2856C22semidirect
70. #2854C22semidirect
71. #2854C22semidirect
72. #2853C22semidirect
74. #2733C22semidirect
75. #2731C22semidirect
76. #2730C22semidirect
77. #2729C22semidirect
78. #2718C22semidirect
79. #2712C22semidirect
80. #2711C22semidirect
81. #2705C22semidirect
82. #2704C22semidirect
83. #2703C22semidirect
84. #2702C22semidirect
85. #2693C22semidirect
86. #2691C22semidirect
87. #2686C22semidirect
88. #2684C22semidirect
89. #2676C22semidirect
90. #2673C22semidirect
91. #2671C22semidirect
92. #2670C22semidirect
93. #2670C22semidirect
94. #2669C22semidirect
95. #2635C22semidirect
96. #2630C22semidirect
97. #2629C22semidirect
98. #2615C22semidirect
99. #2602C22semidirect
100. #2600C22semidirect
101. #2566C22semidirect
102. #2562C22semidirect
103. #2559C22semidirect
104. #2554C22semidirect
105. #2552C22semidirect
106. #2551C22semidirect
107. #2548C22semidirect
108. #2548C22semidirect
109. #2547C22semidirect
110. #2546C22semidirect
111. #2545C22semidirect
112. #2544C22semidirect
113. #2543C22semidirect
114. #2543C22semidirect
115. #2543C22semidirect
117. #2541C22semidirect
118. #2541C22semidirect
119. #2541C22semidirect
122. #2537C22semidirect
123. #2537C22semidirect
124. #2535C22semidirect
125. #2534C22semidirect
126. #2512C22semidirect
127. #2512C22semidirect
128. #2512C22semidirect
129. #2506C22semidirect
130. #2504C22semidirect
131. #2501C22semidirect
132. #2500C22semidirect
133. #2496C22semidirect
134. #2496C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
138. #2490C22semidirect
139. #2487C22semidirect
140. #2485C22semidirect
141. #2480C22semidirect
142. #2480C22semidirect
143. #2477C22semidirect
144. #2477C22semidirect
145. #2477C22semidirect
146. #2475C22semidirect
147. #2474C22semidirect
148. #2474C22semidirect
149. #2472C22semidirect
150. #2471C22semidirect
151. #2471C22semidirect
152. #2469C22semidirect
153. #2468C22semidirect
154. #2467C22semidirect
155. #2464C22semidirect
156. #2464C22semidirect
157. #2461C22semidirect
158. #2461C22semidirect
159. #2458C22semidirect
160. #2456C22semidirect
162. #2452C22semidirect
163. #2452C22semidirect
164. #2450C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
170. #2442C22semidirect
171. #2441C22semidirect
172. #2440C22semidirect
173. #2439C22semidirect
174. #2439C22semidirect
177. #2430C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2426C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
189. #2422C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
192. #2420C22semidirect
195. #2416C22semidirect
196. #2416C22semidirect
197. #2416C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2414C22semidirect
207. #2412C22semidirect
208. #2411C22semidirect
209. #2411C22semidirect
210. #2411C22semidirect
212. #2410C22semidirect
216. #2408C22semidirect
217. #2404C22semidirect
218. #2392C22semidirect
219. #2392C22semidirect
220. #2392C22semidirect
221. #2388C22semidirect
222. #2367C22semidirect
224. #2366C22semidirect
225. #2365C22semidirect
226. #2365C22semidirect
227. #2363C22semidirect
228. #2363C22semidirect
229. #2362C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2359C22semidirect
237. #2359C22semidirect
238. #2358C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2352C22semidirect
252. #2352C22semidirect
253. #2352C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2344C22semidirect
260. #2344C22semidirect
261. #2344C22semidirect
262. #2339C22semidirect
265. D4×C22⋊C4C22semidirect
266. D4×C22⋊C4C22semidirect
267. #2325C22semidirect
268. #2324C22semidirect
269. #2321C22semidirect
270. #2311C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×#127C22semidirect
273. C4×#127C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#120C22semidirect
287. #2297C22semidirect
291. C2×#388C22semidirect
292. #2285C22semidirect
293. C2×#384C22semidirect
294. C2×#380C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
299. C2×C4×C4⋊C4C22semidirect
317. #547D4semidirect
850. C2×#41C2×D4semidirect
927. C4⋊Q8C2×D4semidirect
957. #123C2×D4semidirect
958. #123C2×D4semidirect
964. C22⋊Q8C2×D4semidirect
1001. #121C2×D4semidirect
1052. C4×D4C2×D4semidirect
1053. C4×D4C2×D4semidirect
1054. C4×D4#41semidirect
1078. C2×C4⋊C4C2×D4semidirect
1079. C2×C4⋊C4C2×D4semidirect
1975. C4#3494semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
#598222
#598202
#593752
#593042
#592292
#590952
#590872
#590132
#448932
#448872
#439282
#439212
#394112
#394022
#393702
#393422
#383682
#378362
#365962
#364682
#364262
#362582
#361822
#361262
#361182
D4×#1212
#358232
#357522
#349372
#346812
#343102
#342062
C4×#5472
C2×#23542