Finite Group Databasebeta

← #7689579

Subgroups — #7689579

Order 512.

7410 conjugacy classes of subgroups.

The subgroup lattice has 1943 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#59419C211yesmaximal, characteristic, complemented
4#59229C212yesmaximal, complemented
5#59141C214yesmaximal, complemented
6#59115C212yesmaximal, complemented
7#59066C211yesmaximal, characteristic, complemented
8#59064C212yesmaximal, complemented
9#59039C211yesmaximal, characteristic, complemented
10#59018C212yesmaximal, complemented
11#45141C212yesmaximal, complemented
12#44892C212yesmaximal, complemented
13#43547C214yesmaximal, complemented
14#43504C214yesmaximal, complemented
15#39961C212yesmaximal, complemented
16#39861C212yesmaximal, complemented
17#39597C211yesmaximal, characteristic, complemented
18#39172C211yesmaximal, characteristic, complemented
19#37820C214yesmaximal, complemented
20#37748C212yesmaximal, complemented
21#36504C211yesmaximal, characteristic, complemented
22#36437C212yesmaximal, complemented
23#36405C211yesmaximal, characteristic, complemented
24#36217C212yesmaximal, complemented
25#36185C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36147C212yesmaximal, complemented
29#36051C212yesmaximal, complemented
30#36011C212yesmaximal, complemented
31#34742C212yesmaximal, complemented
32#34720C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34289C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3506—216no—
37#3483—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×Q82C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#555C2212yes—
44C2×#555C2211yescharacteristic
45C2×#555C2214yescomplemented
46C2×#555C2212yescomplemented
47C2×#555C2212yescomplemented
48C2×#553C2214yes—
49C2×#550C2211yescharacteristic
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic
52C2×#550C2212yescomplemented
53C2×#550C2211yescharacteristic, complemented
54C2×#547C2212yes—
55C2×#547C2212yes—
56C2×#546C2211yescharacteristic
57C2×#538C2214yes—
58C2×#535C2212yes—
59C2×#533C2211yescharacteristic
60C2×#532C2211yescharacteristic
61C2×#532C2212yes—
62C2×#532C2214yescomplemented
63C2×#532C2212yescomplemented
64C2×#532C2211yescharacteristic, complemented
65C2×#525C2212yes—
66C2×#525C2212yes—
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yescomplemented
70C2×C4×#41C2212yescomplemented
71C2×C4×#41C2211yescharacteristic, complemented
72C22×C4×D4C2211yescharacteristic
73#2862C2211yescharacteristic, complemented
74#2857C2211yescharacteristic
75#2857C2211yescharacteristic, complemented
76#2855C2212yescomplemented
77#2853C2214yescomplemented
78#2850C2212yes—
79#2850C2212yescomplemented
80#2847C2212yes—
81#2716C2214yescomplemented
82#2716C2214yescomplemented
83#2713C2214yescomplemented
84#2709C2214yescomplemented
85#2709C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2699C2214yescomplemented
89#2688C2214yes—
90#2686C2214yes—
91#2686C2214yescomplemented
92#2686C2214yescomplemented
93#2686C2214yescomplemented
94#2684C2214yes—
95#2682C2214yes—
96#2678C2214yes—
97#2677C2214yes—
98#2673C2214yes—
99#2671C2214yes—
100#2669C2214yes—
101#2668C2214yes—
102#2661C2214yescomplemented
103#2640C2212yes—
104#2635C2214yes—
105#2628C2212yes—
106#2602C2214yescomplemented
107#2600C2214yescomplemented
108#2591C2214yescomplemented
109#2582C2211yescharacteristic, complemented
110#2581C2212yescomplemented
111#2568C2212yescomplemented
112#2567C2211yescharacteristic, complemented
113#2563C2211yescharacteristic
114#2557C2214yescomplemented
115#2557C2214yescomplemented
116#2551C2212yescomplemented
117#2547C2214yescomplemented
118#2546C2211yescharacteristic, complemented
119#2546C2212yescomplemented
120#2545C2212yes—
121#2543C2214yescomplemented
122#2543C2214yescomplemented
123#2542C2211yescharacteristic, complemented
124#2540C2212yes—
125#2537C2211yescharacteristic
126#2537C2212yescomplemented
127#2536C2212yescomplemented
128#2535C2212yes—
129#2521C2214yescomplemented
130#2521C2214yescomplemented
131#2500C2212yescomplemented
132#2499C2212yescomplemented
133#2498C2214yescomplemented
134#2492C2212yes—
135#2491C2214yescomplemented
136#2491C2214yescomplemented
137#2485C2212yes—
138#2485C2212yescomplemented
139#2484C2214yescomplemented
140#2479C2214yescomplemented
141#2478C2214yescomplemented
142#2477C2212yes—
143#2475C2212yescomplemented
144#2474C2214yescomplemented
145#2474C2214yescomplemented
146#2474C2214yescomplemented
147#2472C2214yes—
148#2470C2214yescomplemented
149#2468C2214yescomplemented
150#2467C2214yescomplemented
151#2463C2212yes—
152#2461C2214yescomplemented
153#2460C2212yescomplemented
154#2459C2214yes—
155#2459C2214yes—
156#2459C2214yes—
157#2457C2214yescomplemented
158#2452C2211yescharacteristic, complemented
159#2447C2212yes—
160#2447C2212yescomplemented
161#2447C2214yescomplemented
162#2447C2212yescomplemented
163#2446C2212yescomplemented
164#2446C2211yescharacteristic, complemented
165#2445C2212yes—
166#2445C2212yescomplemented
167#2444C2214yes—
168#2444C2214yescomplemented
169#2444C2214yescomplemented
170#2443C2214yes—
171#2443C2214yescomplemented
172#2439C2212yescomplemented
173#2439C2212yescomplemented
174#2439C2211yescharacteristic, complemented
175#2432C2212yes—
176#2432C2211yescharacteristic, complemented
177#2432C2212yescomplemented
178#2432C2214yescomplemented
179#2431C2212yes—
180#2431C2212yescomplemented
181#2430C2214yes—
182#2430C2214yescomplemented
183#2428C2212yes—
184#2428C2212yes—
185#2428C2212yes—
186#2428C2212yescomplemented
187#2427C2211yescharacteristic
188#2427C2212yes—
189#2427C2212yes—
190#2427C2212yes—
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2424C2214yes—
194#2423C2212yes—
195#2423C2212yescomplemented
196#2422C2212yes—
197#2422C2212yescomplemented
198#2421C2211yescharacteristic
199#2421C2212yescomplemented
200#2421C2212yescomplemented
201#2420C2212yes—
202#2420C2212yes—
203#2420C2212yescomplemented
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2419C2214yescomplemented
210#2419C2214yescomplemented
211#2418C2214yes—
212#2418C2214yes—
213#2416C2214yes—
214#2415C2211yescharacteristic
215#2415C2212yescomplemented
216#2414C2212yes—
217#2408C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2211yescharacteristic
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2404C2214yes—
225#2398C2212yescomplemented
226#2395C2214yes—
227#2395C2214yescomplemented
228#2392C2212yes—
229#2367C2211yescharacteristic
230#2366C2212yes—
231#2366C2211yescharacteristic, complemented
232#2365C2212yescomplemented
233#2364C2212yes—
234#2364C2214yes—
235#2364C2214yescomplemented
236#2363C2212yes—
237#2363C2211yescharacteristic
238#2363C2212yescomplemented
239#2363C2212yescomplemented
240#2362C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2360C2211yescharacteristic
244#2359C2212yes—
245#2359C2214yes—
246#2359C2214yescomplemented
247#2358C2212yes—
248#2357C2212yescomplemented
249#2355C2211yescharacteristic, complemented
250#2354C2211yescharacteristic
251#2354C2212yescomplemented
252#2352C2212yes—
253#2352C2211yescharacteristic
254#2349C2211yescharacteristic
255#2349C2212yescomplemented
256#2349C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258#2344C2214yescomplemented
259#2342C2212yes—
260#2339C2212yes—
261#2339C2211yescharacteristic
262#2339C2212yescomplemented
263#2339C2214yescomplemented
264#2339C2212yescomplemented
265#2339C2212yescomplemented
266#2339C2212yescomplemented
267#2339C2212yescomplemented
268D4×C22⋊C4C2211yescharacteristic
269#2333C2214yescomplemented
270#2328C2212yes—
271#2327C2212yescomplemented
272#2325C2214yes—
273#2323C2212yes—
274#2322C2214yescomplemented
275C4×#127C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2212yes—
283C4×#123C2214yes—
284C4×#123C2214yescomplemented
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#120C2212yes—
290#2297C2212yescomplemented
291#2296C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2290C2212yes—
294C2×#387C2214yescomplemented
295#2285C2212yescomplemented
296#2280C2212yes—
297#2275C2212yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2314yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C23×D4C2311yescharacteristic
310C24×C4C2312yes—
311#559—216no—
312#559—216no—
313Q82—28no—
314#556—28no—
315#556—28no—
316#555—216no—
317#555—216no—
318#555—232no—
319#555—28no—
320#555—216no—
321#553—232no—
322#550—216no—
323#550—216no—
324#550—28no—
325#550—28no—
326#550D4116yescomplemented
327#547—216no—
328#547—216no—
329#546—28no—
330#538—232no—
331#535—216no—
332#533—28no—
333#532—216no—
334#532—28no—
335#532—28no—
336#532—216no—
337#532—232no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2314yes—
347C2×#127C2314yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#124C2312yes—
356C2×#124C2311yescharacteristic
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367#525—216no—
368#525—216no—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2311yescharacteristic
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#120C2312yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419#520—216no—
420C4×#41—216no—
421C4×#41—28no—
422C4×#41—28no—
423C4×#41—216no—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×D4—28no—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2314yes—
479C2×#117C2314yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2312yes—
484C2×#117C2314yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C22×C4⋊C4C2314yes—
490C22×C4⋊C4C2314yes—
491C22×C4⋊C4C2311yescharacteristic
492C22×C22⋊C4C2312yes—
493C22×C22⋊C4C2312yes—
494C22×C22⋊C4C2312yes—
495C22×C42C2312yes—
496C22×C42C2314yes—
497C22×C42C2312yes—
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500C22×C42C2312yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2312yes—
506#400C2312yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2312yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2312yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2314yes—
535#396C2314yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2312yes—
569#393C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#391C2312yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2314yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#384C2311yescharacteristic
754#384C2312yes—
755#384C2312yes—
756#382C2312yes—
757#382C2311yescharacteristic
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#382C2311yescharacteristic
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2314yes—
790#380C2314yes—
791#379C2312yes—
792#379C2314yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839#376C2312yes—
840C2×#95C2314yes—
841C2×#95C2314yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C43C2311yescharacteristic
847C25C2412yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—216no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—48no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—84no—
870C2×#41—82no—
871C2×#41C2×D4116yes—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2414yes—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4—42no—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C23×C4—28no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—216no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939C4⋊Q8—24no—
940C4⋊Q8—84no—
941#127—28no—
942#127—216no—
943#127—28no—
944#127C2×D418yes—
945#127C2×D4116yes—
946#126—216no—
947#126—216no—
948#125—28no—
949#124—24no—
950#124—216no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—216no—
955#124—216no—
956#124—216no—
957#124—216no—
958#124—216no—
959#124—28no—
960#124—42no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—216no—
966#123—216no—
967#123—216no—
968#123—48no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—24no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—44no—
976C22⋊Q8—42no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8—82no—
980C22⋊Q8#4118yescomplemented
981#121—28no—
982#121—28no—
983#121—28no—
984#121—28no—
985#121—28no—
986#121—28no—
987#121—28no—
988#121—216no—
989#121—216no—
990#121—216no—
991#121—216no—
992#121—216no—
993#121—216no—
994#121—216no—
995#121—28no—
996#121—216no—
997#121—24no—
998#121—28no—
999#121—216no—
1000#121—44no—
1001#121—42no—
1002#121—44no—
1003#121—84no—
1004#121—84no—
1005#121C2×D4116yes—
1006#121C2×D4132yes—
1007#120—216no—
1008#120—216no—
1009#120—28no—
1010#120—84no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—24no—
1014C4×Q8—28no—
1015C4×Q8—24no—
1016C4×Q8—28no—
1017C4×Q8—28no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8C2×D418yes—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—216no—
1028C4×D4—28no—
1029C4×D4—216no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—216no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—216no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—42no—
1055C4×D4—44no—
1056C4×D4—42no—
1057C4×D4—42no—
1058C4×D4—82no—
1059C4×D4—84no—
1060C4×D4C2×D418yes—
1061C4×D4C2×D4116yes—
1062#117—28no—
1063#117—216no—
1064#117—28no—
1065#117—24no—
1066#117—28no—
1067#117—24no—
1068#117—28no—
1069#117—28no—
1070#117—28no—
1071#117—216no—
1072#117—216no—
1073#117—28no—
1074#117—44no—
1075C2×C4⋊C4—216no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4—216no—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C22⋊C4—28no—
1131C2×C22⋊C4—28no—
1132C2×C22⋊C4—44no—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C42—28no—
1202C2×C42—216no—
1203C2×C42—24no—
1204C2×C42—24no—
1205C2×C42—28no—
1206C2×C42—44no—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2412yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2414yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2412yes—
1239#95C2412yes—
1240#95C2411yescharacteristic
1241#95C2412yes—
1242#95C2411yescharacteristic
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24—24no—
1296C24—24no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24—42no—
1302C24C2512yes—
1303C24C2512yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2514yes—
1307C24C2511yescharacteristic
1308#41—432no—
1309#41—432no—
1310#41—416no—
1311#41—432no—
1312#41—416no—
1313#41—816no—
1314#41—832no—
1315#41—816no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—42no—
1332C2×Q8—44no—
1333C2×Q8—42no—
1334C2×Q8—44no—
1335C2×Q8C22×D414yes—
1336C2×Q8C2×#4114yes—
1337C2×D4—28no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—22no—
1342C2×D4—28no—
1343C2×D4—28no—
1344C2×D4—28no—
1345C2×D4—28no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—416no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4C22×D418yes—
1399C2×D4C22×D414yes—
1400C2×D4C22×D418yes—
1401C2×D4C22×D4116yes—
1402C2×D4C22×D4116yes—
1403C2×D4C22×D418yes—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—28no—
1413C22×C4—28no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—28no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—28no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—41no—
1454C22×C4—44no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—41no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—41no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—816no—
1477C22×C4C22×D418yes—
1478C22×C4C22×D4116yes—
1479C22×C4C2×#4114yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2514yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2514yes—
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—28no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—22no—
1535C4⋊C4—28no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—42no—
1544C4⋊C4—41no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—42no—
1556C4⋊C4C22×D414yes—
1557C4⋊C4C22×D414yes—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C2×#4118yes—
1560C4⋊C4C2×#4114yes—
1561C22⋊C4—24no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—22no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—22no—
1594C22⋊C4—24no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—41no—
1605C22⋊C4—41no—
1606C22⋊C4—41no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4C22×D418yes—
1627C22⋊C4C22×D4116yes—
1628C22⋊C4C2×#4118yes—
1629C42—24no—
1630C42—24no—
1631C42—22no—
1632C42—22no—
1633C42—24no—
1634C42—22no—
1635C42—24no—
1636C42—28no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—28no—
1641C42—24no—
1642C42—28no—
1643C42—28no—
1644C42—24no—
1645C42—22no—
1646C42—24no—
1647C42—22no—
1648C42—24no—
1649C42—22no—
1650C42—22no—
1651C42—42no—
1652C42—42no—
1653C42—44no—
1654C42—41no—
1655C42—41no—
1656C42—44no—
1657C42C22×D414yes—
1658C42C22×D418yes—
1659C23—21no—
1660C23—24no—
1661C23—22no—
1662C23—21no—
1663C23—22no—
1664C23—21no—
1665C23—24no—
1666C23—24no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—22no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—22no—
1679C23—21no—
1680C23—22no—
1681C23—22no—
1682C23—21no—
1683C23—22no—
1684C23—21no—
1685C23—21no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—21no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—48no—
1699C23—48no—
1700C23—84no—
1701C23—84no—
1702C23—84no—
1703C23—84no—
1704C23—84no—
1705C23C23×D414yes—
1706C23C23×D418yes—
1707C23C22×#4112yes—
1708C23C2611yescharacteristic
1709Q8—28no—
1710Q8—28no—
1711Q8—48no—
1712Q8—44no—
1713Q8—84no—
1714Q8—84no—
1715Q8—88no—
1716D4—28no—
1717D4—216no—
1718D4—216no—
1719D4—416no—
1720D4—48no—
1721D4—416no—
1722D4—48no—
1723D4—416no—
1724D4—48no—
1725D4—48no—
1726D4—416no—
1727D4—44no—
1728D4—44no—
1729D4—44no—
1730D4—84no—
1731D4—88no—
1732D4—84no—
1733D4—88no—
1734D4—88no—
1735D4—88no—
1736D4—88no—
1737D4—164no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—28no—
1755C2×C4—216no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—416no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—416no—
1817C2×C4—416no—
1818C2×C4—48no—
1819C2×C4—416no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—44no—
1825C2×C4—48no—
1826C2×C4—44no—
1827C2×C4—82no—
1828C2×C4—84no—
1829C2×C4—88no—
1830C2×C4—84no—
1831C2×C4—84no—
1832C2×C4—84no—
1833C2×C4—88no—
1834C2×C4—84no—
1835C2×C4—164no—
1836C2×C4C23×D414yes—
1837C2×C4C23×D414yes—
1838C2×C4C23×D414yes—
1839C2×C4C23×D412yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D412yes—
1842C2×C4C22×#4114yes—
1843C2×C4C22×#4112yes—
1844C2×C4C22×#4114yes—
1845C2×C4C22×#4112yes—
1846C2×C4#58512yes—
1847C2×C4#58512yes—
1848C2×C4#58512yes—
1849C2×C4#58512yes—
1850C22—28no—
1851C22—24no—
1852C22—22no—
1853C22—24no—
1854C22—28no—
1855C22—22no—
1856C22—22no—
1857C22—28no—
1858C22—24no—
1859C22—41no—
1860C22—44no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—44no—
1865C22—41no—
1866C22—44no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—41no—
1871C22—42no—
1872C22—41no—
1873C22—42no—
1874C22—41no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—41no—
1880C22—41no—
1881C22—42no—
1882C22—42no—
1883C22—41no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—41no—
1892C22—816no—
1893C22C24×D411yescharacteristic
1894C22C23×#4111yescharacteristic
1895C22C2×#58511yescharacteristic
1896C22C2×#58511yescharacteristic
1897C22C2×#58511yescharacteristic
1898C22C2×#58511yescharacteristic
1899C22H(7,𝔽2)11yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—24no—
1903C4—24no—
1904C4—24no—
1905C4—24no—
1906C4—22no—
1907C4—24no—
1908C4—42no—
1909C4—44no—
1910C4—41no—
1911C4—42no—
1912C4—41no—
1913C4—42no—
1914C4—41no—
1915C4—41no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—41no—
1920C4—42no—
1921C4—41no—
1922C4—41no—
1923C4—42no—
1924C4—44no—
1925C4—41no—
1926C4—44no—
1927C4D4×#4114yes—
1928C4#348514yes—
1929C2—48no—
1930C2—44no—
1931C2—42no—
1932C2—81no—
1933C2—82no—
1934C2—82no—
1935C2C2×D4×#4111yescharacteristic
1936C2C2×#348511yescharacteristic
1937C2#6279311yescharacteristic
1938C2#6296611yescharacteristic
1939C2#6298711yescharacteristic
1940C2#6299411yescharacteristic
1941C2#6303111yescharacteristic
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×#3506C2semidirect
2. C2×#3483C2semidirect
3. #59419C2semidirect
4. #59229C2semidirect
5. #59141C2semidirect
6. #59115C2semidirect
7. #59066C2semidirect
8. #59064C2semidirect
9. #59039C2semidirect
10. #59018C2semidirect
11. #45141C2semidirect
12. #44892C2semidirect
13. #43547C2semidirect
14. #43504C2semidirect
15. #39961C2semidirect
16. #39861C2semidirect
17. #39597C2semidirect
18. #39172C2semidirect
19. #37820C2semidirect
20. #37748C2semidirect
21. #36504C2semidirect
22. #36437C2semidirect
23. #36405C2semidirect
24. #36217C2semidirect
25. #36185C2semidirect
26. #36160C2semidirect
27. #36149C2semidirect
28. #36147C2semidirect
29. #36051C2semidirect
30. #36011C2semidirect
31. #34742C2semidirect
32. #34720C2semidirect
33. #34330C2semidirect
34. #34289C2semidirect
35. C4×#546C2semidirect
40. C2×Q82C22semidirect
45. C2×#555C22semidirect
46. C2×#555C22semidirect
47. C2×#555C22semidirect
52. C2×#550C22semidirect
53. C2×#550C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
69. C2×C4×#41C22semidirect
70. C2×C4×#41C22semidirect
71. C2×C4×#41C22semidirect
73. #2862C22semidirect
75. #2857C22semidirect
76. #2855C22semidirect
77. #2853C22semidirect
79. #2850C22semidirect
81. #2716C22semidirect
82. #2716C22semidirect
83. #2713C22semidirect
84. #2709C22semidirect
85. #2709C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2699C22semidirect
91. #2686C22semidirect
92. #2686C22semidirect
93. #2686C22semidirect
102. #2661C22semidirect
106. #2602C22semidirect
107. #2600C22semidirect
108. #2591C22semidirect
109. #2582C22semidirect
110. #2581C22semidirect
111. #2568C22semidirect
112. #2567C22semidirect
114. #2557C22semidirect
115. #2557C22semidirect
116. #2551C22semidirect
117. #2547C22semidirect
118. #2546C22semidirect
119. #2546C22semidirect
121. #2543C22semidirect
122. #2543C22semidirect
123. #2542C22semidirect
126. #2537C22semidirect
127. #2536C22semidirect
129. #2521C22semidirect
130. #2521C22semidirect
131. #2500C22semidirect
132. #2499C22semidirect
133. #2498C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
138. #2485C22semidirect
139. #2484C22semidirect
140. #2479C22semidirect
141. #2478C22semidirect
143. #2475C22semidirect
144. #2474C22semidirect
145. #2474C22semidirect
146. #2474C22semidirect
148. #2470C22semidirect
149. #2468C22semidirect
150. #2467C22semidirect
152. #2461C22semidirect
153. #2460C22semidirect
157. #2457C22semidirect
158. #2452C22semidirect
160. #2447C22semidirect
161. #2447C22semidirect
162. #2447C22semidirect
163. #2446C22semidirect
164. #2446C22semidirect
166. #2445C22semidirect
168. #2444C22semidirect
169. #2444C22semidirect
171. #2443C22semidirect
172. #2439C22semidirect
173. #2439C22semidirect
174. #2439C22semidirect
176. #2432C22semidirect
177. #2432C22semidirect
178. #2432C22semidirect
180. #2431C22semidirect
182. #2430C22semidirect
186. #2428C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
195. #2423C22semidirect
197. #2422C22semidirect
199. #2421C22semidirect
200. #2421C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
209. #2419C22semidirect
210. #2419C22semidirect
215. #2415C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
225. #2398C22semidirect
227. #2395C22semidirect
231. #2366C22semidirect
232. #2365C22semidirect
235. #2364C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2362C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
246. #2359C22semidirect
248. #2357C22semidirect
249. #2355C22semidirect
251. #2354C22semidirect
255. #2349C22semidirect
256. #2349C22semidirect
257. D4×C4⋊C4C22semidirect
258. #2344C22semidirect
262. #2339C22semidirect
263. #2339C22semidirect
264. #2339C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
267. #2339C22semidirect
269. #2333C22semidirect
271. #2327C22semidirect
274. #2322C22semidirect
275. C4×#127C22semidirect
277. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
288. C4×#121C22semidirect
290. #2297C22semidirect
291. #2296C22semidirect
292. #2295C22semidirect
294. C2×#387C22semidirect
295. #2285C22semidirect
297. #2275C22semidirect
326. #550D4semidirect
980. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
C2×#34832
#594192
#592292
#591412
#591152
#590662
#590642
#590392
#590182
#451412
#448922
#435472
#435042
#399612
#398612
#395972
#391722
#378202
#377482
#365042
#364372
#364052
#362172
#361852
#361602
#361492
#361472
#360512
#360112
#347422
#347202
#343302
#342892
C4×#5462