Finite Group Databasebeta

← #7681117

Subgroups — #7681117

Order 512.

8197 conjugacy classes of subgroups.

The subgroup lattice has 2048 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3511C211yesmaximal, characteristic, complemented
3#59811C212yesmaximal, complemented
4#59809C212yesmaximal, complemented
5#59568C212yesmaximal, complemented
6#59409C212yesmaximal, complemented
7#59409C214yesmaximal, complemented
8#59407C214yesmaximal, complemented
9#45385C212yesmaximal, complemented
10#45353C212yesmaximal, complemented
11#45291C212yesmaximal, complemented
12#44996C212yesmaximal, complemented
13#43531C214yesmaximal, complemented
14#43101C214yesmaximal, complemented
15#39439C212yesmaximal, complemented
16#39432C212yesmaximal, complemented
17#37783C212yesmaximal, complemented
18#37780C212yesmaximal, complemented
19#37668C212yesmaximal, complemented
20#37665C212yesmaximal, complemented
21#36147C212yesmaximal, complemented
22#36130C212yesmaximal, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic, complemented
25#35574C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35308C211yesmaximal, characteristic, complemented
28#35307C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30C2×#2492C211yesmaximal, characteristic, complemented
31#34743C211yesmaximal, characteristic, complemented
32#34274C211yesmaximal, characteristic, complemented
33#34259C211yesmaximal, characteristic, complemented
34C22⋊C4×#41C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3511—216no—
39#3489—216no—
40C2×#556C2212yescomplemented
41C2×#555C2212yescomplemented
42C2×#554C2212yescomplemented
43C2×#553C2214yescomplemented
44C2×D4×Q8C2212yes—
45C2×#548C2212yes—
46C2×#548C2214yescomplemented
47C2×#547C2214yes—
48C2×#547C2212yes—
49C2×#547C2212yescomplemented
50C2×#546C2214yes—
51C2×#546C2212yes—
52C2×#542C2212yescomplemented
53C2×#542C2212yescomplemented
54C2×#537C2212yes—
55C2×#537C2211yescharacteristic
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#536C2212yes—
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic, complemented
61C2×#533C2212yescomplemented
62C2×#532C2212yescomplemented
63C2×#532C2211yescharacteristic, complemented
64C22×C4⋊Q8C2211yescharacteristic, complemented
65C2×#525C2212yes—
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic, complemented
72C2×#520C2211yescharacteristic, complemented
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic, complemented
76#2857C2212yescomplemented
77#2855C2212yescomplemented
78#2855C2212yescomplemented
79#2850C2212yescomplemented
80#2848C2212yes—
81#2847C2212yes—
82#2716C2214yescomplemented
83#2713C2214yescomplemented
84#2712C2214yescomplemented
85#2708C2214yescomplemented
86#2707C2214yescomplemented
87#2702C2214yes—
88#2700C2214yescomplemented
89#2700C2214yescomplemented
90#2700C2214yescomplemented
91#2699C2214yescomplemented
92#2697C2214yes—
93#2696C2214yescomplemented
94#2695C2214yescomplemented
95#2693C2214yescomplemented
96#2692C2214yes—
97#2689C2214yescomplemented
98#2688C2214yescomplemented
99#2687C2214yescomplemented
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2686C2214yescomplemented
103#2684C2214yes—
104#2681C2214yescomplemented
105#2676C2214yescomplemented
106#2625C2212yescomplemented
107#2625C2212yescomplemented
108#2621C2212yescomplemented
109#2620C2212yescomplemented
110#2616C2212yes—
111#2615C2212yes—
112#2579C2214yescomplemented
113#2559C2214yescomplemented
114#2557C2214yescomplemented
115#2557C2214yescomplemented
116#2557C2214yescomplemented
117#2556C2214yes—
118#2554C2214yescomplemented
119#2549C2214yescomplemented
120#2549C2214yescomplemented
121#2534C2214yes—
122#2492C2212yes—
123#2492C2212yes—
124#2492C2212yes—
125#2492C2212yes—
126#2492C2212yescomplemented
127#2492C2214yescomplemented
128#2492C2212yescomplemented
129#2492C2212yescomplemented
130#2492C2212yescomplemented
131#2487C2212yes—
132#2486C2214yescomplemented
133#2486C2212yescomplemented
134#2485C2212yes—
135#2485C2212yescomplemented
136#2481C2214yescomplemented
137#2474C2214yescomplemented
138#2473C2214yescomplemented
139#2472C2214yes—
140#2470C2214yescomplemented
141#2468C2214yes—
142#2465C2214yes—
143#2459C2214yes—
144#2458C2214yescomplemented
145#2457C2214yescomplemented
146#2456C2214yescomplemented
147#2452C2212yescomplemented
148#2452C2212yescomplemented
149#2451C2214yescomplemented
150#2451C2212yescomplemented
151#2451C2212yescomplemented
152#2450C2214yes—
153#2450C2214yescomplemented
154#2447C2214yescomplemented
155#2447C2212yescomplemented
156#2447C2212yescomplemented
157#2446C2212yescomplemented
158#2446C2212yescomplemented
159#2444C2214yescomplemented
160#2440C2212yescomplemented
161#2440C2212yescomplemented
162#2439C2212yescomplemented
163#2439C2212yescomplemented
164#2438C2214yescomplemented
165#2437C2214yes—
166#2436C2212yescomplemented
167#2434C2212yescomplemented
168#2432C2212yescomplemented
169#2431C2212yescomplemented
170#2430C2214yes—
171#2430C2214yescomplemented
172#2430C2214yescomplemented
173#2430C2214yescomplemented
174#2429C2211yescharacteristic
175#2429C2212yes—
176#2429C2212yescomplemented
177#2429C2211yescharacteristic, complemented
178#2429C2212yescomplemented
179#2429C2212yescomplemented
180#2428C2211yescharacteristic
181#2428C2211yescharacteristic, complemented
182#2427C2212yes—
183#2427C2211yescharacteristic
184#2427C2211yescharacteristic, complemented
185#2427C2214yescomplemented
186#2427C2212yescomplemented
187#2427C2212yescomplemented
188#2427C2212yescomplemented
189#2426C2211yescharacteristic
190#2426C2211yescharacteristic, complemented
191#2425C2214yescomplemented
192#2425C2212yescomplemented
193#2425C2214yescomplemented
194#2425C2214yescomplemented
195#2425C2212yescomplemented
196#2424C2212yes—
197#2424C2214yes—
198#2424C2212yes—
199#2423C2212yes—
200#2422C2212yescomplemented
201#2421C2212yescomplemented
202#2420C2212yes—
203#2419C2214yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2419C2214yescomplemented
207#2418C2214yes—
208#2418C2214yes—
209#2417C2212yes—
210#2417C2214yescomplemented
211#2417C2212yescomplemented
212#2415C2212yes—
213#2415C2212yescomplemented
214#2410C2214yes—
215#2409C2212yes—
216#2409C2212yescomplemented
217#2409C2214yescomplemented
218#2409C2212yescomplemented
219#2408C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2214yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2404C2214yes—
226C2×#400C2212yescomplemented
227#2392C2212yes—
228#2392C2212yescomplemented
229C2×#393C2212yes—
230#2364C2214yes—
231#2363C2212yescomplemented
232#2363C2212yescomplemented
233#2362C2212yescomplemented
234#2362C2212yescomplemented
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2360C2212yescomplemented
238#2360C2214yescomplemented
239#2360C2212yescomplemented
240#2342C2214yes—
241#2341C2211yescharacteristic
242#2341C2211yescharacteristic
243Q8×C22⋊C4C2211yescharacteristic
244Q8×C22⋊C4C2211yescharacteristic
245Q8×C22⋊C4C2212yescomplemented
246Q8×C22⋊C4C2212yescomplemented
247#2339C2212yes—
248#2339C2212yes—
249#2339C2211yescharacteristic
250#2339C2211yescharacteristic
251#2339C2212yescomplemented
252#2339C2214yescomplemented
253#2339C2214yescomplemented
254#2339C2214yescomplemented
255#2339C2212yescomplemented
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2211yescharacteristic
258D4×C22⋊C4C2212yes—
259D4×C22⋊C4C2211yescharacteristic
260#2325C2214yescomplemented
261#2325C2214yescomplemented
262#2324C2212yescomplemented
263#2324C2212yescomplemented
264#2323C2212yescomplemented
265#2323C2212yescomplemented
266#2317C2211yescharacteristic, complemented
267#2316C2211yescharacteristic, complemented
268#2316C2211yescharacteristic, complemented
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2212yescomplemented
272#2311C2211yescharacteristic, complemented
273#2310C2211yescharacteristic, complemented
274#2310C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2212yescomplemented
279C4×#121C2214yescomplemented
280C4×#121C2214yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283#2297C2212yes—
284#2297C2211yescharacteristic
285#2297C2212yes—
286#2297C2211yescharacteristic
287#2297C2212yescomplemented
288#2297C2211yescharacteristic, complemented
289#2296C2211yescharacteristic, complemented
290C2×#391C2212yescomplemented
291C2×#391C2212yescomplemented
292C2×#391C2211yescharacteristic, complemented
293C2×#391C2211yescharacteristic, complemented
294C2×#388C2212yes—
295#2280C2212yes—
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2212yes—
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×#41C2311yescharacteristic
309C22×#41C2312yes—
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2312yes—
314C22×#41C2314yes—
315C22×#41C2311yescharacteristic
316C22×#41C2311yescharacteristic
317C22×#41C2311yescharacteristic
318C22×#41C2314yes—
319C23×Q8C2311yescharacteristic
320C23×Q8C2312yes—
321C23×Q8C2311yescharacteristic
322C23×Q8C2312yes—
323C23×Q8C2312yes—
324C23×D4C2311yescharacteristic
325C23×D4C2312yes—
326C24×C4C2311yescharacteristic
327C24×C4C2312yes—
328#556—216no—
329#555—216no—
330#554—216no—
331#553—232no—
332D4×Q8—216no—
333#548—216no—
334#548—232no—
335#547—216no—
336#547—232no—
337#547—216no—
338#546—232no—
339#546—216no—
340#542—216no—
341#542—216no—
342#537—28no—
343#537—28no—
344#537—216no—
345#537D4116yescomplemented
346#536—28no—
347#536—216no—
348#536—44no—
349#533—216no—
350#532—28no—
351#532—216no—
352C2×C4⋊Q8—28no—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2311yescharacteristic
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2314yes—
360C2×C4⋊Q8C2312yes—
361C2×#127C2311yescharacteristic
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#125C2314yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373#525—28no—
374#525—216no—
375#525—44no—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×C22⋊Q8—216no—
387C2×C22⋊Q8—28no—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#120C2314yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2314yes—
439#520—28no—
440#520—28no—
441#520—28no—
442C4×#41—28no—
443C4×#41—44no—
444C4×#41—44no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2314yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2311yescharacteristic
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2311yescharacteristic
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C42C2312yes—
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2312yes—
515C22×C42C2312yes—
516C22×C42C2312yes—
517#400C2314yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#399C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2312yes—
532#398C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2312yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#393C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2312yes—
594#392C2312yes—
595#392C2314yes—
596#392C2314yes—
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2314yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2314yes—
618#391C2314yes—
619#391C2314yes—
620#391C2314yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2311yescharacteristic
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2314yes—
628#391C2314yes—
629#391C2314yes—
630#391C2312yes—
631#391C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2314yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2314yes—
663#389C2314yes—
664#389C2312yes—
665#389C2314yes—
666#389C2314yes—
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2314yes—
670#389C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#384C2312yes—
766#382C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2312yes—
771#381C2312yes—
772#381C2312yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#379C2314yes—
805#379C2312yes—
806#379C2312yes—
807#379C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
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⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2311yescharacteristic
845C2×#95C2311yescharacteristic
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2314yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
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—216no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—216no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—28no—
871C2×#41—28no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—28no—
876C2×#41—28no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—48no—
884C2×#41—42no—
885C2×#41—42no—
886C2×#41—44no—
887C2×#41—44no—
888C2×#41—48no—
889C2×#41—464no—
890C2×#41—84no—
891C2×#41C2×D418yes—
892C2×#41C2×D418yes—
893C2×#41#4118yescomplemented
894C22×Q8—28no—
895C22×Q8—24no—
896C22×Q8—24no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—28no—
900C22×Q8—28no—
901C22×Q8—28no—
902C22×Q8—24no—
903C22×Q8—24no—
904C22×Q8—42no—
905C22×Q8—44no—
906C22×Q8—44no—
907C22×Q8—44no—
908C22×Q8—82no—
909C22×Q8C2411yescharacteristic
910C22×Q8C2412yes—
911C22×Q8C2412yes—
912C22×Q8C2414yes—
913C22×Q8C2414yes—
914C22×Q8C2412yes—
915C22×Q8C2411yescharacteristic
916C22×Q8C2411yescharacteristic
917C22×Q8C2411yescharacteristic
918C22×Q8C2414yes—
919C22×D4—28no—
920C22×D4—24no—
921C22×D4—28no—
922C22×D4—24no—
923C22×D4—42no—
924C22×D4—44no—
925C22×D4C2412yes—
926C22×D4C2411yescharacteristic
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2414yes—
931C22×D4C2412yes—
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2411yescharacteristic
937C22×D4C2411yescharacteristic
938C22×D4C2412yes—
939C22×D4C2411yescharacteristic
940C22×D4C2412yes—
941C22×D4C2412yes—
942C22×D4C2414yes—
943C22×D4C2414yes—
944C22×D4C2412yes—
945C22×D4C2414yes—
946C23×C4—28no—
947C23×C4—24no—
948C23×C4—28no—
949C23×C4—24no—
950C23×C4—24no—
951C23×C4—44no—
952C23×C4C2412yes—
953C23×C4C2411yescharacteristic
954C23×C4C2412yes—
955C23×C4C2411yescharacteristic
956C23×C4C2411yescharacteristic
957C23×C4C2411yescharacteristic
958C23×C4C2411yescharacteristic
959C23×C4C2411yescharacteristic
960C23×C4C2414yes—
961C23×C4C2412yes—
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2414yes—
967C23×C4C2412yes—
968C23×C4C2412yes—
969C23×C4C2412yes—
970C23×C4C2412yes—
971C23×C4C2412yes—
972C23×C4C2414yes—
973C23×C4C2412yes—
974C23×C4C2412yes—
975C23×C4C2411yescharacteristic
976C23×C4C2412yes—
977C23×C4C2414yes—
978C23×C4C2414yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2411yescharacteristic
984C4⋊Q8—24no—
985C4⋊Q8—28no—
986C4⋊Q8—28no—
987C4⋊Q8—28no—
988C4⋊Q8—28no—
989C4⋊Q8—28no—
990C4⋊Q8—216no—
991C4⋊Q8—44no—
992#127—24no—
993#126—216no—
994#126—216no—
995#125—216no—
996#124—24no—
997#124—24no—
998#124—28no—
999#124—216no—
1000#124—216no—
1001#124—216no—
1002#124—216no—
1003#124—44no—
1004#123—28no—
1005#123—216no—
1006#123—216no—
1007#123—216no—
1008#123—216no—
1009#123—216no—
1010#123—216no—
1011#123—44no—
1012#123—48no—
1013#123—84no—
1014C22⋊Q8—24no—
1015C22⋊Q8—24no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—216no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—216no—
1028C22⋊Q8—216no—
1029C22⋊Q8—216no—
1030C22⋊Q8—216no—
1031C22⋊Q8—216no—
1032C22⋊Q8—48no—
1033C22⋊Q8—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—44no—
1036C22⋊Q8—44no—
1037C22⋊Q8—84no—
1038C22⋊Q8C2×D4116yes—
1039C22⋊Q8C2×D4116yes—
1040#121—24no—
1041#121—24no—
1042#121—28no—
1043#121—28no—
1044#121—216no—
1045#121—216no—
1046#121—216no—
1047#121—28no—
1048#121—216no—
1049#121—28no—
1050#121—216no—
1051#121—28no—
1052#121—28no—
1053#121—216no—
1054#121—28no—
1055#121—44no—
1056#121—42no—
1057#121—42no—
1058#121C2×D4116yes—
1059#121C2×D4132yes—
1060#121C2×D4116yes—
1061#120—28no—
1062#120—216no—
1063#120—44no—
1064#120—84no—
1065C4×Q8—24no—
1066C4×Q8—24no—
1067C4×Q8—28no—
1068C4×Q8—28no—
1069C4×Q8—28no—
1070C4×Q8—216no—
1071C4×Q8—42no—
1072C4×Q8—42no—
1073C4×Q8—42no—
1074C4×Q8—42no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—24no—
1079C4×D4—28no—
1080C4×D4—216no—
1081C4×D4—216no—
1082C4×D4—216no—
1083C4×D4—216no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—216no—
1091C4×D4—216no—
1092C4×D4—42no—
1093C4×D4—42no—
1094C4×D4—42no—
1095C4×D4—42no—
1096C4×D4—44no—
1097C4×D4—44no—
1098C4×D4—44no—
1099C4×D4—44no—
1100C4×D4—44no—
1101C4×D4—44no—
1102C4×D4—84no—
1103C4×D4—84no—
1104#117—24no—
1105#117—28no—
1106#117—24no—
1107#117—28no—
1108#117—24no—
1109#117—24no—
1110#117—28no—
1111#117—28no—
1112#117—216no—
1113#117—44no—
1114#117—44no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—28no—
1118C2×C4⋊C4—28no—
1119C2×C4⋊C4—24no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4—216no—
1123C2×C4⋊C4C2×D418yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2414yes—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—216no—
1176C2×C22⋊C4—24no—
1177C2×C22⋊C4—28no—
1178C2×C22⋊C4—42no—
1179C2×C22⋊C4—44no—
1180C2×C22⋊C4—82no—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2411yescharacteristic
1250C2×C42—24no—
1251C2×C42—28no—
1252C2×C42—24no—
1253C2×C42—44no—
1254C2×C42—44no—
1255C2×C42—82no—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2414yes—
1266C2×C42C2412yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2414yes—
1278C2×C42C2414yes—
1279#95C2411yescharacteristic
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2411yescharacteristic
1287#95C2412yes—
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2411yescharacteristic
1293#95C2412yes—
1294#95C2411yescharacteristic
1295#95C2411yescharacteristic
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2414yes—
1334#95C2414yes—
1335C24—22no—
1336C24—24no—
1337C24—22no—
1338C24—24no—
1339C24—22no—
1340C24—22no—
1341C24—24no—
1342C24—41no—
1343C24—42no—
1344C24—41no—
1345C24—42no—
1346C24—41no—
1347C24—42no—
1348C24—42no—
1349C24C2511yescharacteristic
1350C24C2512yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2512yes—
1354C24C2511yescharacteristic
1355C24C2511yescharacteristic
1356#41—232no—
1357#41—232no—
1358#41—232no—
1359#41—432no—
1360#41—432no—
1361#41—432no—
1362#41—432no—
1363#41—464no—
1364#41—416no—
1365#41—416no—
1366#41—416no—
1367#41—832no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—28no—
1371C2×Q8—24no—
1372C2×Q8—28no—
1373C2×Q8—24no—
1374C2×Q8—24no—
1375C2×Q8—28no—
1376C2×Q8—22no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—28no—
1380C2×Q8—24no—
1381C2×Q8—24no—
1382C2×Q8—24no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—22no—
1386C2×Q8—22no—
1387C2×Q8—24no—
1388C2×Q8—24no—
1389C2×Q8—28no—
1390C2×Q8—44no—
1391C2×Q8—42no—
1392C2×Q8—44no—
1393C2×Q8—44no—
1394C2×Q8—44no—
1395C2×Q8—432no—
1396C2×Q8—432no—
1397C2×Q8—416no—
1398C2×Q8—416no—
1399C2×Q8—816no—
1400C2×Q8C22×D414yes—
1401C2×Q8C22×D414yes—
1402C2×Q8C2×#4114yes—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—28no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—24no—
1418C2×D4—24no—
1419C2×D4—28no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—28no—
1424C2×D4—28no—
1425C2×D4—24no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—24no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—24no—
1438C2×D4—24no—
1439C2×D4—44no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—44no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—44no—
1457C2×D4—42no—
1458C2×D4—44no—
1459C2×D4—432no—
1460C2×D4—416no—
1461C2×D4C22×D418yes—
1462C2×D4C22×D418yes—
1463C2×D4C22×D414yes—
1464C2×D4C22×D414yes—
1465C2×D4C22×D4116yes—
1466C2×D4C2×#4118yes—
1467C2×D4C2×#4114yes—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—28no—
1485C22×C4—24no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—28no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—24no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—22no—
1505C22×C4—24no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—28no—
1509C22×C4—24no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—22no—
1516C22×C4—24no—
1517C22×C4—22no—
1518C22×C4—24no—
1519C22×C4—28no—
1520C22×C4—28no—
1521C22×C4—24no—
1522C22×C4—24no—
1523C22×C4—41no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—41no—
1529C22×C4—42no—
1530C22×C4—42no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—41no—
1534C22×C4—42no—
1535C22×C4—432no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—41no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—44no—
1547C22×C4—44no—
1548C22×C4—42no—
1549C22×C4—44no—
1550C22×C4—44no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—41no—
1555C22×C4—42no—
1556C22×C4—44no—
1557C22×C4—44no—
1558C22×C4—416no—
1559C22×C4C22×D418yes—
1560C22×C4C22×D418yes—
1561C22×C4C22×D418yes—
1562C22×C4C22×D414yes—
1563C22×C4C2×#4118yes—
1564C22×C4C2×#4114yes—
1565C22×C4H(5,𝔽2)14yes—
1566C22×C4C2511yescharacteristic
1567C22×C4C2511yescharacteristic
1568C22×C4C2514yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2514yes—
1572C22×C4C2511yescharacteristic
1573C22×C4C2511yescharacteristic
1574C22×C4C2512yes—
1575C22×C4C2511yescharacteristic
1576C22×C4C2512yes—
1577C22×C4C2511yescharacteristic
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2511yescharacteristic
1581C22×C4C2512yes—
1582C22×C4C2514yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2514yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2511yescharacteristic
1590C22×C4C2511yescharacteristic
1591C22×C4C2511yescharacteristic
1592C22×C4C2511yescharacteristic
1593C22×C4C2511yescharacteristic
1594C4⋊C4—22no—
1595C4⋊C4—22no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—28no—
1599C4⋊C4—28no—
1600C4⋊C4—28no—
1601C4⋊C4—24no—
1602C4⋊C4—28no—
1603C4⋊C4—28no—
1604C4⋊C4—28no—
1605C4⋊C4—28no—
1606C4⋊C4—28no—
1607C4⋊C4—22no—
1608C4⋊C4—22no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—28no—
1614C4⋊C4—24no—
1615C4⋊C4—28no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—28no—
1619C4⋊C4—22no—
1620C4⋊C4—22no—
1621C4⋊C4—22no—
1622C4⋊C4—22no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—44no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—44no—
1634C4⋊C4—44no—
1635C4⋊C4—44no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C4⋊C4—42no—
1640C4⋊C4—44no—
1641C4⋊C4C22×D418yes—
1642C4⋊C4C22×D418yes—
1643C4⋊C4C22×D4116yes—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—28no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—22no—
1661C22⋊C4—24no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—28no—
1665C22⋊C4—28no—
1666C22⋊C4—24no—
1667C22⋊C4—28no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—28no—
1671C22⋊C4—24no—
1672C22⋊C4—22no—
1673C22⋊C4—24no—
1674C22⋊C4—22no—
1675C22⋊C4—24no—
1676C22⋊C4—22no—
1677C22⋊C4—22no—
1678C22⋊C4—24no—
1679C22⋊C4—42no—
1680C22⋊C4—41no—
1681C22⋊C4—41no—
1682C22⋊C4—42no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—42no—
1691C22⋊C4—42no—
1692C22⋊C4—42no—
1693C22⋊C4—42no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4—42no—
1697C22⋊C4—42no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—42no—
1701C22⋊C4—44no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—42no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—42no—
1709C22⋊C4—42no—
1710C22⋊C4C22×D4116yes—
1711C22⋊C4C22×D4116yes—
1712C22⋊C42−1+414yescomplemented
1713C42—22no—
1714C42—24no—
1715C42—22no—
1716C42—24no—
1717C42—22no—
1718C42—22no—
1719C42—24no—
1720C42—28no—
1721C42—28no—
1722C42—28no—
1723C42—24no—
1724C42—22no—
1725C42—22no—
1726C42—22no—
1727C42—22no—
1728C42—24no—
1729C42—24no—
1730C42—42no—
1731C42—42no—
1732C42—42no—
1733C42—42no—
1734C42—44no—
1735C42—44no—
1736C23—21no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—21no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—21no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—21no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—21no—
1764C23—22no—
1765C23—21no—
1766C23—22no—
1767C23—21no—
1768C23—22no—
1769C23—21no—
1770C23—21no—
1771C23—22no—
1772C23—21no—
1773C23—22no—
1774C23—21no—
1775C23—22no—
1776C23—21no—
1777C23—22no—
1778C23—48no—
1779C23—44no—
1780C23—44no—
1781C23—44no—
1782C23—48no—
1783C23—48no—
1784C23—44no—
1785C23—82no—
1786C23—82no—
1787C23—82no—
1788C23—84no—
1789C23—84no—
1790C23—84no—
1791C23—84no—
1792C23C23×D414yes—
1793C23C23×D414yes—
1794C23C23×D412yes—
1795C23C22×#4114yes—
1796C23C22×#4112yes—
1797C23C2×H(5,𝔽2)12yes—
1798C23C2×2−1+412yes—
1799C23C2611yescharacteristic
1800Q8—28no—
1801Q8—28no—
1802Q8—28no—
1803Q8—416no—
1804Q8—48no—
1805Q8—416no—
1806Q8—48no—
1807Q8—48no—
1808Q8—44no—
1809Q8—88no—
1810D4—216no—
1811D4—216no—
1812D4—216no—
1813D4—28no—
1814D4—28no—
1815D4—28no—
1816D4—416no—
1817D4—48no—
1818D4—48no—
1819D4—48no—
1820D4—48no—
1821D4—48no—
1822D4—48no—
1823D4—416no—
1824D4—48no—
1825D4—44no—
1826D4—84no—
1827D4—88no—
1828D4—84no—
1829D4—88no—
1830D4—84no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—21no—
1842C2×C4—24no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—216no—
1846C2×C4—216no—
1847C2×C4—216no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—24no—
1856C2×C4—24no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—24no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—24no—
1889C2×C4—21no—
1890C2×C4—24no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—24no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—24no—
1901C2×C4—22no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—48no—
1906C2×C4—48no—
1907C2×C4—44no—
1908C2×C4—48no—
1909C2×C4—44no—
1910C2×C4—48no—
1911C2×C4—48no—
1912C2×C4—416no—
1913C2×C4—416no—
1914C2×C4—44no—
1915C2×C4—48no—
1916C2×C4—44no—
1917C2×C4—48no—
1918C2×C4—44no—
1919C2×C4—44no—
1920C2×C4—44no—
1921C2×C4—44no—
1922C2×C4—48no—
1923C2×C4—88no—
1924C2×C4—84no—
1925C2×C4—84no—
1926C2×C4—88no—
1927C2×C4—84no—
1928C2×C4—82no—
1929C2×C4—84no—
1930C2×C4—88no—
1931C2×C4—84no—
1932C2×C4—84no—
1933C2×C4#546116yes—
1934C2×C4C23×D418yes—
1935C2×C4C23×D414yes—
1936C2×C4C23×D414yes—
1937C2×C4C23×D412yes—
1938C2×C4C23×D412yes—
1939C2×C4C22×#4114yes—
1940C2×C4C22×#4112yes—
1941C2×C4C22×#4112yes—
1942C2×C4C2×H(5,𝔽2)12yes—
1943C2×C4C2×H(5,𝔽2)12yes—
1944C2×C4C2×2−1+412yes—
1945C2×C4C2×2−1+412yes—
1946C2×C4#58512yes—
1947C22—22no—
1948C22—22no—
1949C22—22no—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—24no—
1954C22—24no—
1955C22—24no—
1956C22—22no—
1957C22—24no—
1958C22—22no—
1959C22—24no—
1960C22—24no—
1961C22—22no—
1962C22—24no—
1963C22—24no—
1964C22—24no—
1965C22—42no—
1966C22—41no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—41no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—41no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—41no—
1981C22—42no—
1982C22—41no—
1983C22—42no—
1984C22—41no—
1985C22—42no—
1986C22—41no—
1987C22—42no—
1988C22—41no—
1989C22—42no—
1990C22—41no—
1991C22—41no—
1992C22—42no—
1993C22—41no—
1994C22—42no—
1995C22—88no—
1996C22—816no—
1997C22C2×#54614yes—
1998C22C24×D411yescharacteristic
1999C22C23×#4111yescharacteristic
2000C22C22×H(5,𝔽2)11yescharacteristic
2001C22C22×2−1+411yescharacteristic
2002C22C2×#58511yescharacteristic
2003C22H(7,𝔽2)11yescharacteristic
2004C222−1+611yescharacteristic
2005C4—22no—
2006C4—28no—
2007C4—22no—
2008C4—22no—
2009C4—24no—
2010C4—24no—
2011C4—24no—
2012C4—42no—
2013C4—41no—
2014C4—42no—
2015C4—44no—
2016C4—42no—
2017C4—41no—
2018C4—42no—
2019C4—44no—
2020C4—41no—
2021C4—42no—
2022C4—42no—
2023C4—41no—
2024C4—41no—
2025C4—44no—
2026C4—42no—
2027C4—42no—
2028C4—41no—
2029C4—41no—
2030C4—42no—
2031C4C2×#54614yes—
2032C4C2×#54614yes—
2033C2—24no—
2034C2—44no—
2035C2—44no—
2036C2—44no—
2037C2—42no—
2038C2—82no—
2039C2—81no—
2040C2C22×#54611yescharacteristic
2041C2#6280511yescharacteristic
2042C2#6285711yescharacteristic
2043C2#6294411yescharacteristic
2044C2#6296011yescharacteristic
2045C2#6298711yescharacteristic
2046C2D4×2−1+411yescharacteristic
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×#3489C2semidirect
2. C2×#3511C2semidirect
3. #59811C2semidirect
4. #59809C2semidirect
5. #59568C2semidirect
6. #59409C2semidirect
7. #59409C2semidirect
8. #59407C2semidirect
9. #45385C2semidirect
10. #45353C2semidirect
11. #45291C2semidirect
12. #44996C2semidirect
13. #43531C2semidirect
14. #43101C2semidirect
15. #39439C2semidirect
16. #39432C2semidirect
17. #37783C2semidirect
18. #37780C2semidirect
19. #37668C2semidirect
20. #37665C2semidirect
21. #36147C2semidirect
22. #36130C2semidirect
23. #35660C2semidirect
24. #35633C2semidirect
25. #35574C2semidirect
26. #35516C2semidirect
27. #35308C2semidirect
28. #35307C2semidirect
29. #35251C2semidirect
30. C2×#2492C2semidirect
31. #34743C2semidirect
32. #34274C2semidirect
33. #34259C2semidirect
34. C22⋊C4×#41C2semidirect
35. C4×#537C2semidirect
40. C2×#556C22semidirect
41. C2×#555C22semidirect
42. C2×#554C22semidirect
43. C2×#553C22semidirect
46. C2×#548C22semidirect
49. C2×#547C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
60. C2×#536C22semidirect
61. C2×#533C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
64. C22×C4⋊Q8C22semidirect
71. C2×#520C22semidirect
72. C2×#520C22semidirect
75. C2×C4×#41C22semidirect
76. #2857C22semidirect
77. #2855C22semidirect
78. #2855C22semidirect
79. #2850C22semidirect
82. #2716C22semidirect
83. #2713C22semidirect
84. #2712C22semidirect
85. #2708C22semidirect
86. #2707C22semidirect
88. #2700C22semidirect
89. #2700C22semidirect
90. #2700C22semidirect
91. #2699C22semidirect
93. #2696C22semidirect
94. #2695C22semidirect
95. #2693C22semidirect
97. #2689C22semidirect
98. #2688C22semidirect
99. #2687C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2686C22semidirect
104. #2681C22semidirect
105. #2676C22semidirect
106. #2625C22semidirect
107. #2625C22semidirect
108. #2621C22semidirect
109. #2620C22semidirect
112. #2579C22semidirect
113. #2559C22semidirect
114. #2557C22semidirect
115. #2557C22semidirect
116. #2557C22semidirect
118. #2554C22semidirect
119. #2549C22semidirect
120. #2549C22semidirect
126. #2492C22semidirect
127. #2492C22semidirect
128. #2492C22semidirect
129. #2492C22semidirect
130. #2492C22semidirect
132. #2486C22semidirect
133. #2486C22semidirect
135. #2485C22semidirect
136. #2481C22semidirect
137. #2474C22semidirect
138. #2473C22semidirect
140. #2470C22semidirect
144. #2458C22semidirect
145. #2457C22semidirect
146. #2456C22semidirect
147. #2452C22semidirect
148. #2452C22semidirect
149. #2451C22semidirect
150. #2451C22semidirect
151. #2451C22semidirect
153. #2450C22semidirect
154. #2447C22semidirect
155. #2447C22semidirect
156. #2447C22semidirect
157. #2446C22semidirect
158. #2446C22semidirect
159. #2444C22semidirect
160. #2440C22semidirect
161. #2440C22semidirect
162. #2439C22semidirect
163. #2439C22semidirect
164. #2438C22semidirect
166. #2436C22semidirect
167. #2434C22semidirect
168. #2432C22semidirect
169. #2431C22semidirect
171. #2430C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
176. #2429C22semidirect
177. #2429C22semidirect
178. #2429C22semidirect
179. #2429C22semidirect
181. #2428C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
188. #2427C22semidirect
190. #2426C22semidirect
191. #2425C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2425C22semidirect
195. #2425C22semidirect
200. #2422C22semidirect
201. #2421C22semidirect
203. #2419C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2419C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
213. #2415C22semidirect
216. #2409C22semidirect
217. #2409C22semidirect
218. #2409C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
226. C2×#400C22semidirect
228. #2392C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
233. #2362C22semidirect
234. #2362C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2360C22semidirect
238. #2360C22semidirect
239. #2360C22semidirect
245. Q8×C22⋊C4C22semidirect
246. Q8×C22⋊C4C22semidirect
251. #2339C22semidirect
252. #2339C22semidirect
253. #2339C22semidirect
254. #2339C22semidirect
255. #2339C22semidirect
260. #2325C22semidirect
261. #2325C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2323C22semidirect
265. #2323C22semidirect
266. #2317C22semidirect
267. #2316C22semidirect
268. #2316C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2310C22semidirect
274. #2310C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. #2296C22semidirect
290. C2×#391C22semidirect
291. C2×#391C22semidirect
292. C2×#391C22semidirect
293. C2×#391C22semidirect
298. C2×C4×C4⋊C4C22semidirect
345. #537D4semidirect
893. C2×#41#41semidirect
1712. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#35112
#598112
#598092
#595682
#594092
#594072
#453852
#453532
#452912
#449962
#435312
#431012
#394392
#394322
#377832
#377802
#376682
#376652
#361472
#361302
#356602
#356332
#355742
#355162
#353082
#353072
#352512
C2×#24922
#347432
#342742
#342592
C22⋊C4×#412
C4×#5372