Finite Group Databasebeta

← #7683789

Subgroups — #7683789

Order 512.

8043 conjugacy classes of subgroups.

The subgroup lattice has 2026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3489C211yesmaximal, characteristic, complemented
3#59407C214yesmaximal, complemented
4#59318C214yesmaximal, complemented
5#59103C212yesmaximal, complemented
6#59102C212yesmaximal, complemented
7#59075C212yesmaximal, complemented
8#59061C212yesmaximal, complemented
9#59027C212yesmaximal, complemented
10#59021C212yesmaximal, complemented
11#59020C212yesmaximal, complemented
12#59014C212yesmaximal, complemented
13#45322C212yesmaximal, complemented
14#45237C212yesmaximal, complemented
15#45175C212yesmaximal, complemented
16#45113C212yesmaximal, complemented
17#45104C212yesmaximal, complemented
18#45094C212yesmaximal, complemented
19#45092C212yesmaximal, complemented
20#45002C212yesmaximal, complemented
21#43531C214yesmaximal, complemented
22#43530C214yesmaximal, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35639C211yesmaximal, characteristic, complemented
25#35633C211yesmaximal, characteristic, complemented
26#35621C211yesmaximal, characteristic, complemented
27#35619C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29C2×#2489C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic, complemented
31#34738C211yesmaximal, characteristic, complemented
32#34274C211yesmaximal, characteristic, complemented
33#34259C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3512—216no—
39#3489—216no—
40C2×#553C2214yescomplemented
41C2×#553C2214yescomplemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#552C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×D4×Q8C2212yes—
47C2×#548C2212yes—
48C2×#547C2214yes—
49C2×#547C2212yes—
50C2×#546C2214yes—
51C2×#546C2212yes—
52C2×#541C2212yescomplemented
53C2×#540C2212yescomplemented
54C2×#537C2212yes—
55C2×#537C2211yescharacteristic
56C2×#537C2211yescharacteristic, complemented
57C2×#536C2211yescharacteristic
58C2×#536C2212yes—
59C2×#536C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic
61C2×#532C2211yescharacteristic
62C2×#529C2212yescomplemented
63C2×#529C2212yescomplemented
64C22×#125C2211yescharacteristic, complemented
65C2×#525C2212yes—
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C22×C22⋊Q8C2211yescharacteristic
69C22×C22⋊Q8C2212yes—
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic, complemented
74C2×#520C2211yescharacteristic, complemented
75C2×C4×#41C2211yescharacteristic, complemented
76#2716C2214yescomplemented
77#2715C2214yescomplemented
78#2713C2214yescomplemented
79#2710C2214yescomplemented
80#2708C2214yescomplemented
81#2707C2214yescomplemented
82#2706C2214yescomplemented
83#2706C2214yescomplemented
84#2703C2214yescomplemented
85#2702C2214yes—
86#2699C2214yescomplemented
87#2698C2214yescomplemented
88#2698C2214yescomplemented
89#2697C2214yes—
90#2695C2214yescomplemented
91#2694C2214yescomplemented
92#2693C2214yescomplemented
93#2691C2214yescomplemented
94#2690C2214yes—
95#2689C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2687C2214yescomplemented
99#2668C2214yes—
100#2579C2214yescomplemented
101#2559C2214yescomplemented
102#2557C2214yescomplemented
103#2556C2214yes—
104#2554C2214yescomplemented
105#2553C2214yescomplemented
106#2553C2214yescomplemented
107#2550C2214yescomplemented
108#2547C2212yescomplemented
109#2546C2212yescomplemented
110#2545C2212yescomplemented
111#2544C2212yescomplemented
112#2538C2212yescomplemented
113#2537C2212yes—
114#2536C2212yes—
115#2535C2212yescomplemented
116#2535C2214yescomplemented
117#2534C2214yes—
118#2503C2212yescomplemented
119#2502C2212yescomplemented
120#2499C2212yescomplemented
121#2499C2212yescomplemented
122#2489C2212yes—
123#2489C2212yes—
124#2489C2212yes—
125#2489C2212yes—
126#2489C2212yescomplemented
127#2489C2212yescomplemented
128#2489C2212yescomplemented
129#2489C2212yescomplemented
130#2488C2214yescomplemented
131#2488C2214yescomplemented
132#2487C2214yescomplemented
133#2486C2214yescomplemented
134#2481C2214yescomplemented
135#2480C2214yes—
136#2477C2214yes—
137#2474C2214yescomplemented
138#2473C2214yescomplemented
139#2471C2214yescomplemented
140#2470C2214yescomplemented
141#2468C2214yes—
142#2466C2214yes—
143#2457C2214yescomplemented
144#2456C2214yescomplemented
145#2454C2212yescomplemented
146#2454C2212yescomplemented
147#2453C2212yescomplemented
148#2453C2212yescomplemented
149#2450C2214yescomplemented
150#2447C2212yescomplemented
151#2447C2212yescomplemented
152#2446C2212yescomplemented
153#2446C2212yescomplemented
154#2444C2214yescomplemented
155#2444C2214yescomplemented
156#2442C2212yescomplemented
157#2442C2212yescomplemented
158#2442C2214yescomplemented
159#2441C2212yescomplemented
160#2441C2212yescomplemented
161#2439C2214yescomplemented
162#2438C2214yescomplemented
163#2436C2211yescharacteristic
164#2436C2212yescomplemented
165#2435C2211yescharacteristic
166#2434C2211yescharacteristic
167#2434C2212yescomplemented
168#2433C2211yescharacteristic
169#2432C2211yescharacteristic
170#2432C2211yescharacteristic
171#2432C2212yescomplemented
172#2431C2211yescharacteristic
173#2431C2211yescharacteristic
174#2431C2212yescomplemented
175#2430C2212yes—
176#2430C2212yes—
177#2430C2214yescomplemented
178#2430C2214yescomplemented
179#2429C2212yes—
180#2429C2212yescomplemented
181#2427C2212yes—
182#2427C2212yescomplemented
183#2425C2214yes—
184#2425C2214yescomplemented
185#2425C2214yescomplemented
186#2425C2214yescomplemented
187#2425C2214yescomplemented
188#2424C2214yes—
189#2424C2214yes—
190#2423C2211yescharacteristic
191#2423C2211yescharacteristic, complemented
192#2422C2211yescharacteristic
193#2422C2211yescharacteristic, complemented
194#2421C2211yescharacteristic
195#2421C2211yescharacteristic, complemented
196#2420C2211yescharacteristic
197#2420C2211yescharacteristic, complemented
198#2420C2214yescomplemented
199#2420C2214yescomplemented
200#2419C2214yescomplemented
201#2419C2212yescomplemented
202#2419C2214yescomplemented
203#2419C2214yescomplemented
204#2419C2212yescomplemented
205#2418C2212yes—
206#2418C2214yes—
207#2418C2212yes—
208#2418C2214yes—
209#2417C2212yes—
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2417C2212yescomplemented
214#2416C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yescomplemented
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2414C2212yescomplemented
221#2412C2214yes—
222#2410C2212yes—
223#2410C2212yes—
224#2409C2212yescomplemented
225#2409C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2395C2212yes—
229#2395C2212yescomplemented
230C2×#400C2212yescomplemented
231C2×#397C2212yes—
232#2388C2212yes—
233#2388C2212yes—
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2366C2212yescomplemented
237#2365C2212yescomplemented
238#2364C2214yes—
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2361C2212yescomplemented
244#2361C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2354C2212yescomplemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250#2352C2214yescomplemented
251#2349C2214yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2342C2214yes—
254#2341C2212yes—
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yescomplemented
257Q8×C22⋊C4C2212yescomplemented
258#2339C2214yes—
259#2339C2212yes—
260#2339C2214yescomplemented
261#2339C2214yescomplemented
262#2339C2212yescomplemented
263#2339C2212yescomplemented
264D4×C22⋊C4C2214yes—
265D4×C22⋊C4C2212yes—
266#2325C2214yescomplemented
267#2325C2214yescomplemented
268#2317C2211yescharacteristic, complemented
269#2316C2211yescharacteristic, complemented
270#2311C2212yes—
271#2311C2212yes—
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic, complemented
275#2311C2212yescomplemented
276#2310C2212yescomplemented
277#2310C2211yescharacteristic, complemented
278C4×#123C2212yes—
279C4×#123C2212yescomplemented
280C4×#121C2214yescomplemented
281C4×#121C2214yescomplemented
282C4×#120C2212yes—
283C4×#120C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic, complemented
287#2297C2212yescomplemented
288#2296C2211yescharacteristic, complemented
289C2×#391C2211yescharacteristic, complemented
290C2×#391C2211yescharacteristic, complemented
291C2×#391C2212yescomplemented
292C2×#388C2212yes—
293#2285C2211yescharacteristic, complemented
294C2×#382C2212yescomplemented
295#2280C2211yescharacteristic
296#2280C2212yes—
297C2×#380C2212yes—
298C2×#380C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—44no—
304C22×#41—28no—
305C22×#41—28no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C22×#41C2312yes—
310C22×#41C2311yescharacteristic
311C22×#41C2311yescharacteristic
312C22×#41C2312yes—
313C22×#41C2312yes—
314C22×#41C2314yes—
315C22×#41C2311yescharacteristic
316C22×#41C2311yescharacteristic
317C22×#41C2311yescharacteristic
318C23×Q8C2311yescharacteristic
319C23×Q8C2312yes—
320C23×Q8C2311yescharacteristic
321C23×Q8C2312yes—
322C23×D4C2312yes—
323C23×D4C2311yescharacteristic
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326#553—216no—
327#553—232no—
328#553—232no—
329#553—216no—
330#552—216no—
331#552—216no—
332D4×Q8—216no—
333#548—216no—
334#547—216no—
335#547—232no—
336#546—232no—
337#546—216no—
338#541—216no—
339#540—216no—
340#537—28no—
341#537—216no—
342#537D4116yescomplemented
343#536—28no—
344#536—216no—
345#536—44no—
346#532—28no—
347#532—28no—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×#127C2311yescharacteristic
354C2×#127C2311yescharacteristic
355#529—216no—
356#529—216no—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125—28no—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2312yes—
375#525—28no—
376#525—216no—
377#525—44no—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×C22⋊Q8—216no—
392C2×C22⋊Q8—28no—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#120C2314yes—
433C2×#120C2312yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437#520—28no—
438#520—28no—
439#520—28no—
440#520—44no—
441#520—44no—
442C4×#41—28no—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2314yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2311yescharacteristic
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C22⋊C4C2314yes—
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2314yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2311yescharacteristic
507C22×C22⋊C4C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2312yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2312yes—
517#400C2312yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2314yes—
522#399C2312yes—
523#399C2312yes—
524#399C2314yes—
525#399C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2312yes—
529#398C2312yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#395C2312yes—
565#395C2312yes—
566#395C2314yes—
567#395C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#393C2312yes—
588#393C2312yes—
589#393C2314yes—
590#393C2314yes—
591#392C2312yes—
592#392C2312yes—
593#392C2312yes—
594#392C2312yes—
595#392C2312yes—
596#392C2312yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#391C2314yes—
610#391C2312yes—
611#391C2314yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2314yes—
616#391C2314yes—
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#391C2311yescharacteristic
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2311yescharacteristic
625#391C2312yes—
626#391C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2311yescharacteristic
632#390C2312yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2314yes—
638#390C2311yescharacteristic
639#390C2314yes—
640#390C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#384C2312yes—
759#384C2311yescharacteristic
760#384C2311yescharacteristic
761#382C2312yes—
762#382C2314yes—
763#382C2311yescharacteristic
764#382C2311yescharacteristic
765#382C2314yes—
766#382C2314yes—
767#382C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2312yes—
772#381C2314yes—
773#381C2314yes—
774#381C2314yes—
775#381C2312yes—
776#381C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#379C2314yes—
806#379C2312yes—
807#379C2312yes—
808#379C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C2×#95C2312yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2311yescharacteristic
852C2×#95C2311yescharacteristic
853C2×#95C2312yes—
854C25C2411yescharacteristic
855C25C2412yes—
8562−1+4—464no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—28no—
866C2×#41—216no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—28no—
870C2×#41—28no—
871C2×#41—24no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—28no—
875C2×#41—28no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—48no—
883C2×#41—42no—
884C2×#41—42no—
885C2×#41—44no—
886C2×#41—44no—
887C2×#41—464no—
888C2×#41C2×D418yes—
889C2×#41C2×D418yes—
890C2×#41#4118yes—
891C22×Q8—28no—
892C22×Q8—24no—
893C22×Q8—24no—
894C22×Q8—28no—
895C22×Q8—24no—
896C22×Q8—28no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—24no—
900C22×Q8—42no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8C2411yescharacteristic
904C22×Q8C2412yes—
905C22×Q8C2412yes—
906C22×Q8C2414yes—
907C22×Q8C2412yes—
908C22×Q8C2411yescharacteristic
909C22×Q8C2411yescharacteristic
910C22×Q8C2411yescharacteristic
911C22×D4—28no—
912C22×D4—24no—
913C22×D4—28no—
914C22×D4—24no—
915C22×D4—42no—
916C22×D4—44no—
917C22×D4C2412yes—
918C22×D4C2411yescharacteristic
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2411yescharacteristic
927C22×D4C2412yes—
928C22×D4C2411yescharacteristic
929C22×D4C2412yes—
930C22×D4C2411yescharacteristic
931C22×D4C2412yes—
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2414yes—
937C22×D4C2412yes—
938C22×D4C2414yes—
939C23×C4—28no—
940C23×C4—24no—
941C23×C4—28no—
942C23×C4—24no—
943C23×C4—24no—
944C23×C4—44no—
945C23×C4C2412yes—
946C23×C4C2411yescharacteristic
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2414yes—
953C23×C4C2411yescharacteristic
954C23×C4C2412yes—
955C23×C4C2414yes—
956C23×C4C2412yes—
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2412yes—
960C23×C4C2412yes—
961C23×C4C2412yes—
962C23×C4C2414yes—
963C23×C4C2411yescharacteristic
964C23×C4C2411yescharacteristic
965C23×C4C2414yes—
966C23×C4C2412yes—
967C23×C4C2411yescharacteristic
968C23×C4C2414yes—
969C23×C4C2412yes—
970C23×C4C2412yes—
971C23×C4C2414yes—
972C23×C4C2414yes—
973C23×C4C2412yes—
974C23×C4C2411yescharacteristic
975C4⋊Q8—24no—
976C4⋊Q8—28no—
977C4⋊Q8—24no—
978C4⋊Q8—216no—
979C4⋊Q8—44no—
980#127—24no—
981#127—24no—
982#126—216no—
983#126—216no—
984#126—216no—
985#126—216no—
986#125—28no—
987#125—28no—
988#125—28no—
989#125—28no—
990#125—216no—
991#125—216no—
992#124—24no—
993#124—24no—
994#124—24no—
995#124—28no—
996#124—24no—
997#124—216no—
998#124—44no—
999#123—28no—
1000#123—216no—
1001#123—216no—
1002#123—216no—
1003#123—216no—
1004#123—216no—
1005#123—216no—
1006#123—216no—
1007#123—216no—
1008#123—44no—
1009#123—44no—
1010#123—44no—
1011#123—48no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—216no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—216no—
1024C22⋊Q8—216no—
1025C22⋊Q8—42no—
1026C22⋊Q8—42no—
1027C22⋊Q8—44no—
1028C22⋊Q8—44no—
1029C22⋊Q8C2×D4116yes—
1030C22⋊Q8C2×D4116yes—
1031#121—24no—
1032#121—24no—
1033#121—28no—
1034#121—28no—
1035#121—216no—
1036#121—216no—
1037#121—28no—
1038#121—216no—
1039#121—216no—
1040#121—216no—
1041#121—28no—
1042#121—28no—
1043#121—28no—
1044#121—216no—
1045#121—48no—
1046#121—42no—
1047#121—42no—
1048#121C2×D4116yes—
1049#121C2×D4116yes—
1050#121C2×D4132yes—
1051#120—28no—
1052#120—216no—
1053#120—44no—
1054#120—44no—
1055#120—44no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8—28no—
1059C4×Q8—28no—
1060C4×Q8—28no—
1061C4×Q8—44no—
1062C4×Q8—44no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—216no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—216no—
1072C4×D4—216no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—216no—
1082C4×D4—216no—
1083C4×D4—48no—
1084C4×D4—48no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—48no—
1090C4×D4—48no—
1091#117—24no—
1092#117—28no—
1093#117—24no—
1094#117—28no—
1095#117—24no—
1096#117—24no—
1097#117—28no—
1098#117—28no—
1099#117—216no—
1100#117—216no—
1101#117—44no—
1102#117—44no—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—28no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—216no—
1112C2×C4⋊C4—44no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4C2×D418yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—216no—
1170C2×C22⋊C4—42no—
1171C2×C22⋊C4—44no—
1172C2×C22⋊C4—48no—
1173C2×C22⋊C4—42no—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C42—24no—
1244C2×C42—28no—
1245C2×C42—24no—
1246C2×C42—44no—
1247C2×C42C2412yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2414yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2414yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326C24—22no—
1327C24—24no—
1328C24—22no—
1329C24—24no—
1330C24—22no—
1331C24—22no—
1332C24—24no—
1333C24—41no—
1334C24—42no—
1335C24—41no—
1336C24—41no—
1337C24—42no—
1338C24—42no—
1339C24—42no—
1340C24C2511yescharacteristic
1341C24C2512yes—
1342C24C2512yes—
1343C24C2512yes—
1344C24C2512yes—
1345C24C2511yescharacteristic
1346C24C2511yescharacteristic
1347#41—232no—
1348#41—232no—
1349#41—232no—
1350#41—432no—
1351#41—432no—
1352#41—432no—
1353#41—432no—
1354#41—464no—
1355#41—416no—
1356#41—416no—
1357#41—416no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—24no—
1361C2×Q8—28no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—28no—
1368C2×Q8—24no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—22no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—24no—
1376C2×Q8—24no—
1377C2×Q8—44no—
1378C2×Q8—42no—
1379C2×Q8—432no—
1380C2×Q8—432no—
1381C2×Q8—416no—
1382C2×Q8—416no—
1383C2×Q8C22×D414yes—
1384C2×Q8C22×D414yes—
1385C2×Q8C2×#4114yes—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—28no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—24no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—432no—
1446C2×D4—416no—
1447C2×D4C22×D418yes—
1448C2×D4C22×D414yes—
1449C2×D4C22×D418yes—
1450C2×D4C22×D414yes—
1451C2×D4C22×D4116yes—
1452C2×D4C2×#4118yes—
1453C2×D4C2×#4114yes—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—28no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—28no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—28no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—28no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—24no—
1488C22×C4—22no—
1489C22×C4—24no—
1490C22×C4—22no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—28no—
1495C22×C4—24no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—28no—
1502C22×C4—28no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—41no—
1508C22×C4—42no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—432no—
1512C22×C4—42no—
1513C22×C4—41no—
1514C22×C4—42no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—44no—
1518C22×C4—42no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—41no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—44no—
1531C22×C4—42no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—416no—
1539C22×C4C22×D418yes—
1540C22×C4C22×D418yes—
1541C22×C4C22×D418yes—
1542C22×C4C22×D414yes—
1543C22×C4C2×#4118yes—
1544C22×C4C2×#4114yes—
1545C22×C4H(5,𝔽2)14yes—
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C22×C4C2514yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2514yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2511yescharacteristic
1555C22×C4C2512yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2512yes—
1559C22×C4C2512yes—
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2514yes—
1565C22×C4C2512yes—
1566C22×C4C2512yes—
1567C22×C4C2514yes—
1568C22×C4C2512yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2511yescharacteristic
1573C22×C4C2511yescharacteristic
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—28no—
1580C4⋊C4—28no—
1581C4⋊C4—28no—
1582C4⋊C4—28no—
1583C4⋊C4—24no—
1584C4⋊C4—28no—
1585C4⋊C4—28no—
1586C4⋊C4—28no—
1587C4⋊C4—28no—
1588C4⋊C4—28no—
1589C4⋊C4—28no—
1590C4⋊C4—22no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—28no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—28no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—22no—
1603C4⋊C4—22no—
1604C4⋊C4—22no—
1605C4⋊C4—22no—
1606C4⋊C4—24no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—42no—
1610C4⋊C4—44no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4—42no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—42no—
1617C4⋊C4—42no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—44no—
1621C4⋊C4—42no—
1622C4⋊C4—42no—
1623C4⋊C4—42no—
1624C4⋊C4C22×D418yes—
1625C4⋊C4C22×D4116yes—
1626C4⋊C4C22×D418yes—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—22no—
1646C22⋊C4—22no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—28no—
1652C22⋊C4—28no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—22no—
1659C22⋊C4—22no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—41no—
1663C22⋊C4—41no—
1664C22⋊C4—41no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—41no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—42no—
1694C22⋊C4C22×D4116yes—
1695C22⋊C4C22×D4116yes—
1696C42—22no—
1697C42—24no—
1698C42—24no—
1699C42—24no—
1700C42—22no—
1701C42—22no—
1702C42—22no—
1703C42—28no—
1704C42—28no—
1705C42—28no—
1706C42—24no—
1707C42—22no—
1708C42—22no—
1709C42—22no—
1710C42—22no—
1711C42—24no—
1712C42—24no—
1713C42—28no—
1714C42—44no—
1715C42—44no—
1716C42—44no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23—22no—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—21no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—21no—
1745C23—22no—
1746C23—21no—
1747C23—22no—
1748C23—21no—
1749C23—22no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—22no—
1754C23—22no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—21no—
1759C23—48no—
1760C23—44no—
1761C23—44no—
1762C23—44no—
1763C23—48no—
1764C23—48no—
1765C23—44no—
1766C23—82no—
1767C23—82no—
1768C23—82no—
1769C23—84no—
1770C23—84no—
1771C23—84no—
1772C23—84no—
1773C23C23×D414yes—
1774C23C23×D414yes—
1775C23C23×D412yes—
1776C23C22×#4114yes—
1777C23C22×#4112yes—
1778C23C2×H(5,𝔽2)12yes—
1779C23#58512yes—
1780C23C2611yescharacteristic
1781Q8—28no—
1782Q8—28no—
1783Q8—28no—
1784Q8—416no—
1785Q8—48no—
1786Q8—48no—
1787Q8—48no—
1788Q8—44no—
1789D4—216no—
1790D4—216no—
1791D4—216no—
1792D4—28no—
1793D4—28no—
1794D4—28no—
1795D4—416no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—48no—
1800D4—48no—
1801D4—416no—
1802D4—48no—
1803D4—44no—
1804D4—84no—
1805D4—84no—
1806D4—84no—
1807D4—88no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—21no—
1820C2×C4—24no—
1821C2×C4—216no—
1822C2×C4—216no—
1823C2×C4—216no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—24no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—24no—
1853C2×C4—24no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—24no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—24no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—24no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—44no—
1890C2×C4—48no—
1891C2×C4—48no—
1892C2×C4—416no—
1893C2×C4—416no—
1894C2×C4—44no—
1895C2×C4—48no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—48no—
1901C2×C4—88no—
1902C2×C4—88no—
1903C2×C4—84no—
1904C2×C4—82no—
1905C2×C4—82no—
1906C2×C4—84no—
1907C2×C4—88no—
1908C2×C4—82no—
1909C2×C4—84no—
1910C2×C4—84no—
1911C2×C4—164no—
1912C2×C4—164no—
1913C2×C4#546116yes—
1914C2×C4C23×D418yes—
1915C2×C4C23×D414yes—
1916C2×C4C23×D414yes—
1917C2×C4C23×D412yes—
1918C2×C4C23×D412yes—
1919C2×C4C22×#4114yes—
1920C2×C4C22×#4112yes—
1921C2×C4C22×#4112yes—
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4C2×H(5,𝔽2)12yes—
1924C2×C4#58512yes—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—24no—
1932C22—24no—
1933C22—24no—
1934C22—24no—
1935C22—22no—
1936C22—24no—
1937C22—24no—
1938C22—22no—
1939C22—22no—
1940C22—24no—
1941C22—24no—
1942C22—24no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—41no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—41no—
1958C22—41no—
1959C22—42no—
1960C22—41no—
1961C22—42no—
1962C22—42no—
1963C22—41no—
1964C22—41no—
1965C22—42no—
1966C22—41no—
1967C22—42no—
1968C22—41no—
1969C22—41no—
1970C22—42no—
1971C22—41no—
1972C22—42no—
1973C22—88no—
1974C22—816no—
1975C22C2×#54614yes—
1976C22C24×D411yescharacteristic
1977C22C23×#4111yescharacteristic
1978C22C22×H(5,𝔽2)11yescharacteristic
1979C22C2×#58511yescharacteristic
1980C22C2×#58511yescharacteristic
1981C222−1+611yescharacteristic
1982C222−1+611yescharacteristic
1983C4—28no—
1984C4—22no—
1985C4—24no—
1986C4—24no—
1987C4—24no—
1988C4—41no—
1989C4—42no—
1990C4—42no—
1991C4—41no—
1992C4—41no—
1993C4—41no—
1994C4—41no—
1995C4—42no—
1996C4—41no—
1997C4—44no—
1998C4—41no—
1999C4—42no—
2000C4—44no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—41no—
2006C4—41no—
2007C4—44no—
2008C4—42no—
2009C4C2×#54614yes—
2010C4C2×#54614yes—
2011C2—24no—
2012C2—44no—
2013C2—44no—
2014C2—44no—
2015C2—42no—
2016C2—82no—
2017C2—81no—
2018C2C22×#54611yescharacteristic
2019C2#6283011yescharacteristic
2020C2#6288811yescharacteristic
2021C2#6298811yescharacteristic
2022C2#6299311yescharacteristic
2023C2#6299311yescharacteristic
2024C2#6300211yescharacteristic
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×#3512C2semidirect
2. C2×#3489C2semidirect
3. #59407C2semidirect
4. #59318C2semidirect
5. #59103C2semidirect
6. #59102C2semidirect
7. #59075C2semidirect
8. #59061C2semidirect
9. #59027C2semidirect
10. #59021C2semidirect
11. #59020C2semidirect
12. #59014C2semidirect
13. #45322C2semidirect
14. #45237C2semidirect
15. #45175C2semidirect
16. #45113C2semidirect
17. #45104C2semidirect
18. #45094C2semidirect
19. #45092C2semidirect
20. #45002C2semidirect
21. #43531C2semidirect
22. #43530C2semidirect
23. #35660C2semidirect
24. #35639C2semidirect
25. #35633C2semidirect
26. #35621C2semidirect
27. #35619C2semidirect
28. #35518C2semidirect
29. C2×#2489C2semidirect
30. #34742C2semidirect
31. #34738C2semidirect
32. #34274C2semidirect
33. #34259C2semidirect
34. #34206C2semidirect
35. #34175C2semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
52. C2×#541C22semidirect
53. C2×#540C22semidirect
56. C2×#537C22semidirect
59. C2×#536C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
64. C22×#125C22semidirect
73. C2×#520C22semidirect
74. C2×#520C22semidirect
75. C2×C4×#41C22semidirect
76. #2716C22semidirect
77. #2715C22semidirect
78. #2713C22semidirect
79. #2710C22semidirect
80. #2708C22semidirect
81. #2707C22semidirect
82. #2706C22semidirect
83. #2706C22semidirect
84. #2703C22semidirect
86. #2699C22semidirect
87. #2698C22semidirect
88. #2698C22semidirect
90. #2695C22semidirect
91. #2694C22semidirect
92. #2693C22semidirect
93. #2691C22semidirect
95. #2689C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2687C22semidirect
100. #2579C22semidirect
101. #2559C22semidirect
102. #2557C22semidirect
104. #2554C22semidirect
105. #2553C22semidirect
106. #2553C22semidirect
107. #2550C22semidirect
108. #2547C22semidirect
109. #2546C22semidirect
110. #2545C22semidirect
111. #2544C22semidirect
112. #2538C22semidirect
115. #2535C22semidirect
116. #2535C22semidirect
118. #2503C22semidirect
119. #2502C22semidirect
120. #2499C22semidirect
121. #2499C22semidirect
126. #2489C22semidirect
127. #2489C22semidirect
128. #2489C22semidirect
129. #2489C22semidirect
130. #2488C22semidirect
131. #2488C22semidirect
132. #2487C22semidirect
133. #2486C22semidirect
134. #2481C22semidirect
137. #2474C22semidirect
138. #2473C22semidirect
139. #2471C22semidirect
140. #2470C22semidirect
143. #2457C22semidirect
144. #2456C22semidirect
145. #2454C22semidirect
146. #2454C22semidirect
147. #2453C22semidirect
148. #2453C22semidirect
149. #2450C22semidirect
150. #2447C22semidirect
151. #2447C22semidirect
152. #2446C22semidirect
153. #2446C22semidirect
154. #2444C22semidirect
155. #2444C22semidirect
156. #2442C22semidirect
157. #2442C22semidirect
158. #2442C22semidirect
159. #2441C22semidirect
160. #2441C22semidirect
161. #2439C22semidirect
162. #2438C22semidirect
164. #2436C22semidirect
167. #2434C22semidirect
171. #2432C22semidirect
174. #2431C22semidirect
177. #2430C22semidirect
178. #2430C22semidirect
180. #2429C22semidirect
182. #2427C22semidirect
184. #2425C22semidirect
185. #2425C22semidirect
186. #2425C22semidirect
187. #2425C22semidirect
191. #2423C22semidirect
193. #2422C22semidirect
195. #2421C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2419C22semidirect
201. #2419C22semidirect
202. #2419C22semidirect
203. #2419C22semidirect
204. #2419C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2414C22semidirect
224. #2409C22semidirect
225. #2409C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
229. #2395C22semidirect
230. C2×#400C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2366C22semidirect
237. #2365C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2349C22semidirect
252. D4×C4⋊C4C22semidirect
256. Q8×C22⋊C4C22semidirect
257. Q8×C22⋊C4C22semidirect
260. #2339C22semidirect
261. #2339C22semidirect
262. #2339C22semidirect
263. #2339C22semidirect
266. #2325C22semidirect
267. #2325C22semidirect
268. #2317C22semidirect
269. #2316C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2310C22semidirect
277. #2310C22semidirect
279. C4×#123C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
286. #2297C22semidirect
287. #2297C22semidirect
288. #2296C22semidirect
289. C2×#391C22semidirect
290. C2×#391C22semidirect
291. C2×#391C22semidirect
293. #2285C22semidirect
294. C2×#382C22semidirect
299. C2×C4×C4⋊C4C22semidirect
342. #537D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#34892
#594072
#593182
#591032
#591022
#590752
#590612
#590272
#590212
#590202
#590142
#453222
#452372
#451752
#451132
#451042
#450942
#450922
#450022
#435312
#435302
#356602
#356392
#356332
#356212
#356192
#355182
C2×#24892
#347422
#347382
#342742
#342592
#342062
#341752