Finite Group Databasebeta

← #31764456

Subgroups — #31764456

Order 17152.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574520C214yesmaximal, complemented
2#22574512C214yesmaximal, complemented
3#22574439C214yesmaximal, complemented
4#22574424C214yesmaximal, complemented
5#22574395C214yesmaximal, complemented
6#22574387C214yesmaximal, complemented
7#22574230C214yesmaximal, complemented
8#22574228C214yesmaximal, complemented
9#22574046C212yesmaximal, complemented
10#22574039C212yesmaximal, complemented
11#22573970C212yesmaximal, complemented
12#22573968C212yesmaximal, complemented
13#22573931C214yesmaximal, complemented
14#22573910C212yesmaximal, complemented
15#22573896C212yesmaximal, complemented
16#22573892C212yesmaximal, complemented
17#22573869C214yesmaximal, complemented
18#22573844C211yesmaximal, characteristic, complemented
19#22573838C212yesmaximal, complemented
20#22573838C212yesmaximal, complemented
21C2×#16863902C212yesmaximal, complemented
22C22×#14524015C211yesmaximal, characteristic, complemented
23C67×#3484C211yesmaximal, characteristic, complemented
24C2×#14524088C2212yescomplemented
25C2×#14524088C2212yescomplemented
26C2×#14524088C2211yescharacteristic, complemented
27C22×#11761627C2212yescomplemented
28C23×C22⋊D67C2211yescharacteristic, complemented
29C23×C22⋊D67C2211yescharacteristic, complemented
30C24×Dic67C2211yescharacteristic, complemented
31#16864143C2214yescomplemented
32#16864141C2214yescomplemented
33#16864141C2214yescomplemented
34#16864140C2214yescomplemented
35#16864135C2214yescomplemented
36#16864134C2214yescomplemented
37#16864134C2214yescomplemented
38#16864133C2214yescomplemented
39#16864110C2214yescomplemented
40#16864108C2214yescomplemented
41#16864105C2214yescomplemented
42#16864100C2214yescomplemented
43#16864098C2214yescomplemented
44#16864095C2214yescomplemented
45#16864095C2214yescomplemented
46#16864095C2214yescomplemented
47#16864092C2214yescomplemented
48#16864091C2214yescomplemented
49#16864089C2214yescomplemented
50#16864089C2214yescomplemented
51#16864089C2214yescomplemented
52#16864089C2214yescomplemented
53#16864083C2214yescomplemented
54#16864079C2214yescomplemented
55#16864077C2214yescomplemented
56#16864077C2214yescomplemented
57#16864075C2214yescomplemented
58#16864073C2214yescomplemented
59#16864072C2214yescomplemented
60#16864072C2214yescomplemented
61#16864070C2214yescomplemented
62#16864069C2214yescomplemented
63#16864066C2214yescomplemented
64#16864064C2214yescomplemented
65#16864055C2214yescomplemented
66#16864052C2214yescomplemented
67#16864045C2214yescomplemented
68#16864045C2214yescomplemented
69#16864044C2214yescomplemented
70#16864044C2214yescomplemented
71#16864041C2214yescomplemented
72#16864040C2214yescomplemented
73#16864040C2214yescomplemented
74#16864040C2214yescomplemented
75#16864040C2214yescomplemented
76#16864040C2214yescomplemented
77#16864038C2214yescomplemented
78#16864038C2214yescomplemented
79#16864036C2214yescomplemented
80#16864036C2214yescomplemented
81#16864036C2214yescomplemented
82#16864036C2214yescomplemented
83#16864035C2214yescomplemented
84#16864035C2214yescomplemented
85#16864034C2214yescomplemented
86#16864034C2214yescomplemented
87#16864033C2214yescomplemented
88#16864033C2214yescomplemented
89#16864033C2214yescomplemented
90#16864033C2214yescomplemented
91#16864033C2214yescomplemented
92#16864033C2214yescomplemented
93#16864033C2214yescomplemented
94#16864033C2214yescomplemented
95D4×C22⋊D67C2214yescomplemented
96D4×C22⋊D67C2214yescomplemented
97D4×C22⋊D67C2214yescomplemented
98D4×C22⋊D67C2214yescomplemented
99D4×C22⋊D67C2214yescomplemented
100D4×C22⋊D67C2214yescomplemented
101D4×C22⋊D67C2214yescomplemented
102#16864028C2214yescomplemented
103#16864028C2214yescomplemented
104#16864028C2214yescomplemented
105#16864028C2214yescomplemented
106#16864028C2214yescomplemented
107#16864025C2212yescomplemented
108#16864022C2212yescomplemented
109#16864021C2212yescomplemented
110#16864014C2214yescomplemented
111#16864010C2214yescomplemented
112#16864000C2214yescomplemented
113#16863999C2214yescomplemented
114#16863998C2214yescomplemented
115#16863996C2214yescomplemented
116#16863996C2214yescomplemented
117#16863996C2214yescomplemented
118#16863995C2212yescomplemented
119#16863991C2212yescomplemented
120#16863990C2214yescomplemented
121#16863988C2214yescomplemented
122#16863988C2214yescomplemented
123#16863986C2212yescomplemented
124#16863983C2212yescomplemented
125#16863983C2214yescomplemented
126#16863981C2214yescomplemented
127#16863981C2214yescomplemented
128#16863981C2214yescomplemented
129#16863981C2214yescomplemented
130#16863980C2214yescomplemented
131#16863979C2214yescomplemented
132#16863979C2214yescomplemented
133#16863978C2214yescomplemented
134#16863975C2214yescomplemented
135#16863974C2214yescomplemented
136#16863973C2212yescomplemented
137#16863973C2214yescomplemented
138#16863973C2214yescomplemented
139#16863963C2212yescomplemented
140#16863961C2214yescomplemented
141#16863961C2214yescomplemented
142#16863961C2214yescomplemented
143#16863959C2214yescomplemented
144#16863958C2212yescomplemented
145#16863958C2212yescomplemented
146#16863956C2214yescomplemented
147#16863956C2214yescomplemented
148#16863955C2212yescomplemented
149#16863955C2212yescomplemented
150#16863955C2212yescomplemented
151#16863955C2212yescomplemented
152#16863955C2212yescomplemented
153#16863955C2214yescomplemented
154#16863954C2212yescomplemented
155#16863954C2214yescomplemented
156#16863942C2214yescomplemented
157#16863941C2214yescomplemented
158#16863926C2214yescomplemented
159#16863923C2214yescomplemented
160#16863907C2212yescomplemented
161#16863905C2214yescomplemented
162#16863902C2214yescomplemented
163#16863902C2214yescomplemented
164#16863902C2214yescomplemented
165#16863902C2214yescomplemented
166#16863902C2214yescomplemented
167#16863902C2214yescomplemented
168#16863902C2214yescomplemented
169#16863902C2214yescomplemented
170#16863902C2214yescomplemented
171#16863902C2214yescomplemented
172C2×#14524027C2212yescomplemented
173C2×#14524024C2212yescomplemented
174C2×#14524020C2212yescomplemented
175C2×#14524020C2212yescomplemented
176C2×#14524015C2214yescomplemented
177C2×#14524015C2214yescomplemented
178C2×#14524015C2214yescomplemented
179C2×#14524015C2212yescomplemented
180C2×#14524015C2212yescomplemented
181C2×#14524015C2214yescomplemented
182C2×#14524015C2212yescomplemented
183C2×#14524015C2212yescomplemented
184C2×#14524015C2212yescomplemented
185C2×#14524015C2212yescomplemented
186C2×#14524015C2214yescomplemented
187#121×D67C2214yescomplemented
188C2×#14524012C2212yescomplemented
189C2×#14524012C2212yescomplemented
190#120×D67C2214yescomplemented
191#16863875C2214yescomplemented
192#16863871C2211yescharacteristic, complemented
193#16863871C2212yescomplemented
194#16863869C2212yescomplemented
195#16863869C2212yescomplemented
196#16863869C2212yescomplemented
197#16863868C2214yescomplemented
198C2×D4×Dic67C2212yescomplemented
199C2×D4×Dic67C2212yescomplemented
200C2×(C22⋊D67)⋊C4C2212yescomplemented
201C2×(C22⋊D67)⋊C4C2212yescomplemented
202C2×#14523999C2212yescomplemented
203C22×Dic67⋊C4C2211yescharacteristic, complemented
204C22×C22⋊Dic67C2211yescharacteristic, complemented
205C22×(C2×D67)⋊C4C2211yescharacteristic, complemented
206C2×H(5,𝔽2)×C67C2211yescharacteristic, complemented
207C23×D4×C67C2211yescharacteristic, complemented
208#546×C67C2214yescomplemented
209#546×C67C2214yescomplemented
210D42×C67C2214yescomplemented
211D42×C67C2214yescomplemented
212#535×C67C2212yescomplemented
213#534×C67C2212yescomplemented
214#534×C67C2212yescomplemented
215#525×C67C2212yescomplemented
216C2×#120×C67C2212yescomplemented
217C2×#120×C67C2212yescomplemented
218#518×C67C2211yescharacteristic, complemented
219C24×D67C2311yescharacteristic
220#14524088—44no—
221#14524088—48no—
222#14524088—48no—
223C2×#11761628C2312yes—
224C2×#11761628C2314yescomplemented
225C2×#11761628C2314yescomplemented
226C2×#11761627—48no—
227C2×#11761627C2314yes—
228C2×#11761627C2314yes—
229C2×#11761627C2314yes—
230C2×#11761627C2314yescomplemented
231C2×#11761627C2314yescomplemented
232C2×#11761627C2314yescomplemented
233C2×#11761627C2314yescomplemented
234C2×#11761627C2314yescomplemented
235C22×Dic134C2312yescomplemented
236C22×C22⋊D67—44no—
237C22×C22⋊D67—44no—
238C22×C22⋊D67C2312yes—
239C22×C22⋊D67C2312yes—
240C22×C22⋊D67C2312yes—
241C22×C22⋊D67C2312yes—
242C22×C22⋊D67C2312yes—
243C22×C22⋊D67C2312yes—
244C22×C22⋊D67C2312yes—
245C22×C22⋊D67C2312yes—
246C22×C22⋊D67C2314yes—
247C22×C22⋊D67C2314yes—
248C22×C22⋊D67C2314yes—
249C22×C22⋊D67C2312yes—
250C22×C22⋊D67C2312yes—
251C22×C22⋊D67C2312yes—
252C22×C22⋊D67C2312yes—
253C22×C22⋊D67C2312yescomplemented
254C22×C22⋊D67C2314yescomplemented
255C22×C22⋊D67C2314yescomplemented
256C2×D4×D67C2314yes—
257C2×D4×D67C2314yes—
258C2×D4×D67C2314yes—
259C2×D4×D67C2314yescomplemented
260C2×D4×D67C2314yescomplemented
261C2×D4×D67C2314yescomplemented
262C23×Dic67—44no—
263C23×Dic67C2311yescharacteristic
264C23×Dic67C2312yes—
265C23×Dic67C2311yescharacteristic
266C23×Dic67C2311yescharacteristic
267C23×Dic67C2312yes—
268C23×Dic67C2312yes—
269C23×Dic67C2312yes—
270C23×Dic67C2312yes—
271C23×Dic67C2312yes—
272C23×Dic67C2312yescomplemented
273C22×C4×D67C2312yescomplemented
274#14524042C2314yescomplemented
275#14524041C2314yescomplemented
276#14524039C2314yescomplemented
277#14524039C2314yescomplemented
278#14524039C2314yescomplemented
279#14524039C2314yescomplemented
280#14524039C2314yescomplemented
281#14524038C2314yescomplemented
282#14524038C2314yescomplemented
283#14524038C2314yescomplemented
284#14524038C2314yescomplemented
285#14524037C2314yescomplemented
286#14524037C2314yescomplemented
287#14524036C2314yescomplemented
288#14524036C2314yescomplemented
289#14524036C2314yescomplemented
290#14524036C2314yescomplemented
291#14524036C2314yescomplemented
292#14524036C2314yescomplemented
293#14524035C2314yescomplemented
294#14524034C2314yescomplemented
295#14524033C2314yescomplemented
296#14524033C2314yescomplemented
297#14524033C2314yescomplemented
298#14524033C2314yescomplemented
299#14524032C2314yescomplemented
300#14524031C2314yescomplemented
301#14524030C2314yescomplemented
302#14524030C2314yescomplemented
303#14524030C2314yescomplemented
304#14524029C2314yescomplemented
305#14524029C2314yescomplemented
306#14524029C2314yescomplemented
307#14524029C2314yescomplemented
308#14524029C2314yescomplemented
309#14524029C2314yescomplemented
310#14524029C2314yescomplemented
311#14524029C2314yescomplemented
312#14524028C2314yescomplemented
313#14524028C2314yescomplemented
314#14524028C2314yescomplemented
315#14524028C2314yescomplemented
316#14524027C2314yes—
317#14524027C2314yes—
318#14524027C2314yes—
319#14524027C2314yescomplemented
320#14524027C2314yescomplemented
321#14524027C2314yescomplemented
322#14524027C2314yescomplemented
323#14524027C2314yescomplemented
324#14524026C2314yes—
325#14524026C2314yescomplemented
326#14524026C2314yescomplemented
327#14524026C2314yescomplemented
328#14524026C2314yescomplemented
329#14524026C2314yescomplemented
330#14524025C2314yescomplemented
331#14524025C2314yescomplemented
332#14524025C2314yescomplemented
333#14524025C2314yescomplemented
334#14524025C2314yescomplemented
335#14524025C2314yescomplemented
336#14524025C2314yescomplemented
337#14524025C2314yescomplemented
338#14524024C2314yes—
339#14524024C2314yes—
340#14524024C2314yes—
341#14524024C2314yescomplemented
342#14524024C2314yescomplemented
343#14524024C2314yescomplemented
344#14524024C2314yescomplemented
345#14524024C2314yescomplemented
346#14524024C2314yescomplemented
347#14524024C2314yescomplemented
348#14524024C2314yescomplemented
349#14524023C2314yescomplemented
350#14524022C2312yes—
351#14524022C2312yes—
352#14524022C2314yescomplemented
353#14524022C2314yescomplemented
354#14524022C2314yescomplemented
355#14524021C2314yescomplemented
356#14524021C2314yescomplemented
357#14524021C2314yescomplemented
358#14524021C2314yescomplemented
359#14524020C2314yes—
360#14524020C2314yes—
361#14524020C2314yes—
362#14524020C2314yes—
363#14524020C2314yes—
364#14524020C2314yes—
365#14524020C2314yescomplemented
366#14524020C2314yescomplemented
367#14524020C2314yescomplemented
368#14524020C2314yescomplemented
369#14524020C2314yescomplemented
370#14524020C2314yescomplemented
371#14524020C2314yescomplemented
372#14524020C2314yescomplemented
373#14524019C2314yescomplemented
374#14524019C2314yescomplemented
375#14524018C2314yescomplemented
376#14524017C2312yes—
377#14524017C2312yes—
378#14524017C2314yescomplemented
379#14524017C2314yescomplemented
380#14524017C2314yescomplemented
381#14524017C2314yescomplemented
382#14524017C2314yescomplemented
383#14524016C2314yescomplemented
384#14524016C2314yescomplemented
385#14524016C2314yescomplemented
386#14524016C2314yescomplemented
387#14524016C2314yescomplemented
388#14524016C2314yescomplemented
389#14524016C2314yescomplemented
390#14524016C2314yescomplemented
391#14524016C2314yescomplemented
392#14524016C2314yescomplemented
393#14524015C2314yes—
394#14524015C2314yes—
395#14524015C2314yes—
396#14524015C2314yes—
397#14524015C2314yes—
398#14524015C2314yes—
399#14524015C2314yes—
400#14524015C2314yes—
401#14524015C2314yes—
402#14524015C2314yes—
403#14524015C2314yes—
404#14524015C2314yes—
405#14524015C2314yes—
406#14524015C2314yes—
407#14524015C2314yes—
408#14524015C2314yes—
409#14524015C2314yes—
410#14524015C2314yes—
411#14524015C2314yes—
412#14524015C2314yes—
413#14524015C2314yes—
414#14524015C2314yes—
415#14524015C2314yescomplemented
416#14524015C2314yescomplemented
417#14524015C2314yescomplemented
418#14524015C2314yescomplemented
419#14524015C2314yescomplemented
420#14524015C2314yescomplemented
421#14524015C2314yescomplemented
422#14524015C2314yescomplemented
423#14524015C2314yescomplemented
424#14524015C2314yescomplemented
425#14524015C2314yescomplemented
426#14524015C2314yescomplemented
427#14524015C2314yescomplemented
428#14524015C2314yescomplemented
429#14524015C2314yescomplemented
430#14524015C2314yescomplemented
431#14524015C2314yescomplemented
432#14524015C2314yescomplemented
433#14524015C2314yescomplemented
434#14524015C2314yescomplemented
435#14524014C2314yescomplemented
436#14524014C2314yescomplemented
437#14524014C2314yescomplemented
438#14524014C2314yescomplemented
439#14524014C2314yescomplemented
440#14524014C2314yescomplemented
441#14524014C2314yescomplemented
442#14524014C2314yescomplemented
443#14524013C2314yes—
444#14524013C2314yes—
445#14524013C2314yes—
446#14524013C2314yescomplemented
447#14524013C2314yescomplemented
448#14524013C2314yescomplemented
449#14524012C2314yes—
450#14524012C2314yes—
451#14524012C2314yes—
452#14524012C2314yes—
453#14524012C2314yes—
454#14524012C2314yes—
455#14524012C2314yes—
456#14524012C2314yescomplemented
457#14524012C2314yescomplemented
458#14524012C2314yescomplemented
459#14524011C2314yes—
460#14524011C2314yes—
461#14524011C2314yes—
462#14524011C2314yescomplemented
463#14524011C2314yescomplemented
464#14524011C2314yescomplemented
465#14524011C2314yescomplemented
466#14524011C2314yescomplemented
467#14524011C2314yescomplemented
468#14524011C2314yescomplemented
469#14524011C2314yescomplemented
470C4×Dic134C2314yescomplemented
471#14524008C2314yescomplemented
472C4×D268C2314yescomplemented
473D4×Dic67C2314yes—
474D4×Dic67C2314yes—
475D4×Dic67C2314yes—
476D4×Dic67C2314yes—
477D4×Dic67C2314yes—
478D4×Dic67C2314yes—
479D4×Dic67C2314yescomplemented
480D4×Dic67C2314yescomplemented
481D4×Dic67C2314yescomplemented
482D4×Dic67C2314yescomplemented
483D4×Dic67C2314yescomplemented
484D4×Dic67C2314yescomplemented
485D4×Dic67C2314yescomplemented
486D4×Dic67C2314yescomplemented
487#14524005C2314yescomplemented
488C4×C22⋊D67C2314yes—
489C4×C22⋊D67C2314yes—
490C4×C22⋊D67C2314yescomplemented
491C4×C22⋊D67C2314yescomplemented
492C4×C22⋊D67C2314yescomplemented
493C4×C22⋊D67C2314yescomplemented
494C4×C22⋊D67C2314yescomplemented
495C4×C22⋊D67C2314yescomplemented
496C4×C22⋊D67C2314yescomplemented
497C4×C22⋊D67C2314yescomplemented
498(C22⋊D67)⋊C4C2314yes—
499(C22⋊D67)⋊C4C2314yes—
500(C22⋊D67)⋊C4C2314yes—
501(C22⋊D67)⋊C4C2314yes—
502(C22⋊D67)⋊C4C2314yes—
503(C22⋊D67)⋊C4C2314yes—
504(C22⋊D67)⋊C4C2314yescomplemented
505(C22⋊D67)⋊C4C2314yescomplemented
506(C22⋊D67)⋊C4C2314yescomplemented
507(C22⋊D67)⋊C4C2314yescomplemented
508(C22⋊D67)⋊C4C2314yescomplemented
509(C22⋊D67)⋊C4C2314yescomplemented
510(C22⋊D67)⋊C4C2314yescomplemented
511(C22⋊D67)⋊C4C2314yescomplemented
512(C22⋊D67)⋊C4C2314yescomplemented
513(C22⋊D67)⋊C4C2314yescomplemented
514#14524002C2312yes—
515#14524002C2314yescomplemented
516#14524001C2314yescomplemented
517#14524000C2314yescomplemented
518#14524000C2314yescomplemented
519#14523999C2314yes—
520#14523999C2314yes—
521#14523999C2314yes—
522#14523999C2314yescomplemented
523#14523999C2314yescomplemented
524#14523999C2314yescomplemented
525#14523999C2314yescomplemented
526C2×C4⋊Dic67C2312yescomplemented
527C2×C4⋊Dic67C2312yescomplemented
528C2×Dic67⋊C4C2312yes—
529C2×Dic67⋊C4C2312yes—
530C2×Dic67⋊C4C2312yes—
531C2×Dic67⋊C4C2314yes—
532C2×Dic67⋊C4C2312yes—
533C2×Dic67⋊C4C2312yescomplemented
534C2×Dic67⋊C4C2314yescomplemented
535C2×Dic67⋊C4C2312yescomplemented
536C2×Dic67⋊C4C2312yescomplemented
537C2×Dic67⋊C4C2312yescomplemented
538C4⋊C4×D67C2314yescomplemented
539C2×C22⋊Dic67C2312yes—
540C2×C22⋊Dic67C2312yes—
541C2×C22⋊Dic67C2312yes—
542C2×C22⋊Dic67C2312yes—
543C2×C22⋊Dic67C2312yes—
544C2×C22⋊Dic67C2312yes—
545C2×C22⋊Dic67C2314yes—
546C2×C22⋊Dic67C2312yes—
547C2×C22⋊Dic67C2312yes—
548C2×C22⋊Dic67C2312yes—
549C2×C22⋊Dic67C2312yes—
550C2×C22⋊Dic67C2312yescomplemented
551C2×C22⋊Dic67C2314yescomplemented
552C2×C22⋊Dic67C2312yescomplemented
553C2×(C2×D67)⋊C4C2312yes—
554C2×(C2×D67)⋊C4C2312yes—
555C2×(C2×D67)⋊C4C2314yes—
556C2×(C2×D67)⋊C4C2312yes—
557C2×(C2×D67)⋊C4C2312yes—
558C2×(C2×D67)⋊C4C2314yescomplemented
559C2×(C2×D67)⋊C4C2312yescomplemented
560C2×(C2×D67)⋊C4C2312yescomplemented
561C22⋊C4×D67C2314yes—
562C22⋊C4×D67C2314yes—
563C22⋊C4×D67C2314yes—
564C22⋊C4×D67C2314yescomplemented
565C22⋊C4×D67C2314yescomplemented
566C2×C4×Dic67C2312yescomplemented
567C2×C4×Dic67C2312yescomplemented
568C25×C67C2311yescharacteristic
569C25×C67C2311yescharacteristic
570H(5,𝔽2)×C67—44no—
571C2×#41×C67C2312yes—
572C2×#41×C67C2314yescomplemented
573C22×D4×C67—44no—
574C22×D4×C67C2311yescharacteristic
575C22×D4×C67C2312yes—
576C22×D4×C67C2311yescharacteristic
577C22×D4×C67C2312yes—
578C22×D4×C67C2312yes—
579C22×D4×C67C2312yes—
580C22×D4×C67C2312yes—
581C22×D4×C67C2314yes—
582C22×D4×C67C2314yes—
583C22×D4×C67C2312yes—
584C22×D4×C67C2311yescharacteristic
585C22×D4×C67C2311yescharacteristic
586C22×D4×C67C2314yescomplemented
587C23×C4×C67C2311yescharacteristic
588#127×C67C2314yescomplemented
589#124×C67C2314yescomplemented
590#123×C67C2314yes—
591#123×C67C2314yescomplemented
592#123×C67C2314yescomplemented
593C22⋊Q8×C67C2312yes—
594C22⋊Q8×C67C2312yes—
595#121×C67C2312yes—
596#121×C67C2312yes—
597#121×C67C2314yescomplemented
598#121×C67C2314yescomplemented
599#121×C67C2314yescomplemented
600#121×C67C2314yescomplemented
601#121×C67C2314yescomplemented
602#121×C67C2314yescomplemented
603#120×C67C2314yes—
604#120×C67C2314yes—
605#120×C67C2314yes—
606#120×C67C2314yes—
607#120×C67C2314yes—
608#120×C67C2314yes—
609#120×C67C2314yes—
610#120×C67C2314yescomplemented
611#120×C67C2314yescomplemented
612C4×D4×C67C2314yes—
613C4×D4×C67C2314yes—
614C4×D4×C67C2314yescomplemented
615C4×D4×C67C2314yescomplemented
616#117×C67C2312yes—
617C2×C22⋊C4×C67C2312yes—
618C2×C22⋊C4×C67C2312yes—
619C2×C22⋊C4×C67C2312yes—
620C2×C22⋊C4×C67C2312yes—
621C2×C22⋊C4×C67C2312yes—
622C2×C22⋊C4×C67C2312yes—
623C23×D67—42no—
624C23×D67—42no—
625C23×D67—42no—
626C23×D67C2412yes—
627C23×D67C2412yes—
628C23×D67C2412yes—
629C23×D67C2412yes—
630C23×D67C2412yes—
631C23×D67C2414yes—
632#11761628—48no—
633#11761628—44no—
634#11761628—48no—
635#11761627—216no—
636#11761627—48no—
637#11761627—48no—
638#11761627—48no—
639#11761627—48no—
640#11761627—48no—
641#11761627—48no—
642#11761627—48no—
643C2×Dic134—44no—
644C2×Dic134C2414yes—
645C2×Dic134C2414yes—
646C2×Dic134C2414yes—
647C2×Dic134C2412yes—
648C2×D268C2414yes—
649C2×D268C2414yes—
650C2×D268C2414yes—
651C2×D268C2412yes—
652C2×C22⋊D67—28no—
653C2×C22⋊D67—28no—
654C2×C22⋊D67—28no—
655C2×C22⋊D67—44no—
656C2×C22⋊D67—48no—
657C2×C22⋊D67—44no—
658C2×C22⋊D67—44no—
659C2×C22⋊D67—48no—
660C2×C22⋊D67—44no—
661C2×C22⋊D67—44no—
662C2×C22⋊D67—48no—
663C2×C22⋊D67—48no—
664C2×C22⋊D67—44no—
665C2×C22⋊D67—44no—
666C2×C22⋊D67—44no—
667C2×C22⋊D67—44no—
668C2×C22⋊D67—44no—
669C2×C22⋊D67—48no—
670C2×C22⋊D67C2414yes—
671C2×C22⋊D67C2414yes—
672C2×C22⋊D67C2414yes—
673C2×C22⋊D67C2414yes—
674C2×C22⋊D67C2414yes—
675C2×C22⋊D67C2414yes—
676C2×C22⋊D67C2414yes—
677C2×C22⋊D67C2414yes—
678C2×C22⋊D67C2414yes—
679C2×C22⋊D67C2414yes—
680C2×C22⋊D67C2414yes—
681C2×C22⋊D67C2414yes—
682C2×C22⋊D67C2414yes—
683C2×C22⋊D67C2414yes—
684C2×C22⋊D67C2414yes—
685C2×C22⋊D67C2414yes—
686C2×C22⋊D67C2414yes—
687C2×C22⋊D67C2414yes—
688C2×C22⋊D67C2414yes—
689C2×C22⋊D67C2414yes—
690C2×C22⋊D67C2414yes—
691C2×C22⋊D67C2414yes—
692C2×C22⋊D67C2414yes—
693D4×D67—48no—
694D4×D67—48no—
695D4×D67—48no—
696D4×D67—48no—
697D4×D67—48no—
698D4×D67—48no—
699C22×Dic67—24no—
700C22×Dic67—28no—
701C22×Dic67—44no—
702C22×Dic67—44no—
703C22×Dic67—44no—
704C22×Dic67—44no—
705C22×Dic67—44no—
706C22×Dic67—44no—
707C22×Dic67—42no—
708C22×Dic67—42no—
709C22×Dic67C2412yes—
710C22×Dic67C2412yes—
711C22×Dic67C2412yes—
712C22×Dic67C2412yes—
713C22×Dic67C2412yes—
714C22×Dic67C2412yes—
715C22×Dic67C2411yescharacteristic
716C22×Dic67C2412yes—
717C22×Dic67C2414yes—
718C22×Dic67C2412yes—
719C22×Dic67C2412yes—
720C22×Dic67C2412yes—
721C22×Dic67C2411yescharacteristic
722C22×Dic67C2412yes—
723C22×Dic67C2411yescharacteristic
724C22×Dic67C2412yes—
725C22×Dic67C2412yes—
726C22×Dic67C2414yes—
727C22×Dic67C2412yes—
728C22×Dic67C2412yes—
729C22×Dic67C2412yes—
730C22×Dic67C2412yes—
731C22×Dic67C2412yes—
732C22×Dic67C2412yes—
733C22×Dic67C2414yes—
734C22×Dic67C2412yes—
735C22×Dic67C2412yes—
736C22×Dic67C2411yescharacteristic
737C2×C4×D67—44no—
738C2×C4×D67C2414yes—
739C2×C4×D67C2414yes—
740C2×C4×D67C2414yes—
741C2×C4×D67C2414yes—
742C2×C4×D67C2414yes—
743C2×C4×D67C2414yes—
744C2×C4×D67C2414yes—
745C4⋊Dic67C2414yes—
746C4⋊Dic67C2414yes—
747C4⋊Dic67C2414yes—
748C4⋊Dic67C2414yes—
749C4⋊Dic67C2414yes—
750C4⋊Dic67C2412yes—
751C4⋊Dic67C2412yes—
752C4⋊Dic67C2414yes—
753Dic67⋊C4C2414yes—
754Dic67⋊C4C2414yes—
755Dic67⋊C4C2414yes—
756Dic67⋊C4C2414yes—
757Dic67⋊C4C2414yes—
758Dic67⋊C4C2414yes—
759Dic67⋊C4C2414yes—
760Dic67⋊C4C2414yes—
761Dic67⋊C4C2414yes—
762Dic67⋊C4C2414yes—
763Dic67⋊C4C2414yes—
764Dic67⋊C4C2414yes—
765Dic67⋊C4C2414yes—
766Dic67⋊C4C2414yes—
767Dic67⋊C4C2414yes—
768Dic67⋊C4C2414yes—
769Dic67⋊C4C2414yes—
770Dic67⋊C4C2414yes—
771C22⋊Dic67C2414yes—
772C22⋊Dic67C2414yes—
773C22⋊Dic67C2414yes—
774C22⋊Dic67C2414yes—
775C22⋊Dic67C2414yes—
776C22⋊Dic67C2414yes—
777C22⋊Dic67C2414yes—
778C22⋊Dic67C2414yes—
779C22⋊Dic67C2414yes—
780C22⋊Dic67C2414yes—
781C22⋊Dic67C2414yes—
782C22⋊Dic67C2414yes—
783C22⋊Dic67C2414yes—
784C22⋊Dic67C2414yes—
785C22⋊Dic67C2414yes—
786C22⋊Dic67C2414yes—
787C22⋊Dic67C2414yes—
788C22⋊Dic67C2414yes—
789C22⋊Dic67C2414yes—
790(C2×D67)⋊C4C2414yes—
791(C2×D67)⋊C4C2414yes—
792(C2×D67)⋊C4C2414yes—
793(C2×D67)⋊C4C2414yes—
794(C2×D67)⋊C4C2414yes—
795(C2×D67)⋊C4C2414yes—
796(C2×D67)⋊C4C2414yes—
797(C2×D67)⋊C4C2414yes—
798(C2×D67)⋊C4C2414yes—
799(C2×D67)⋊C4C2414yes—
800(C2×D67)⋊C4C2414yes—
801(C2×D67)⋊C4C2414yes—
802(C2×D67)⋊C4C2414yes—
803(C2×D67)⋊C4C2414yes—
804(C2×D67)⋊C4C2414yes—
805(C2×D67)⋊C4C2414yes—
806(C2×D67)⋊C4C2414yes—
807(C2×D67)⋊C4C2414yes—
808C4×Dic67C2414yes—
809C4×Dic67C2414yes—
810C4×Dic67C2414yes—
811C4×Dic67C2414yes—
812C4×Dic67C2414yes—
813C4×Dic67C2414yes—
814C4×Dic67C2414yes—
815C24×C67—24no—
816C24×C67—42no—
817C24×C67—42no—
818C24×C67—42no—
819C24×C67—42no—
820C24×C67—42no—
821C24×C67C2411yescharacteristic
822C24×C67C2412yes—
823C24×C67C2412yes—
824C24×C67C2411yescharacteristic
825C24×C67C2412yes—
826C24×C67C2412yes—
827C24×C67C2411yescharacteristic
828C24×C67C2411yescharacteristic
829C24×C67C2412yes—
830C24×C67C2412yes—
831C24×C67C2411yescharacteristic
832#41×C67—44no—
833#41×C67—48no—
834C2×Q8×C67C2412yes—
835C2×D4×C67—24no—
836C2×D4×C67—24no—
837C2×D4×C67—28no—
838C2×D4×C67—42no—
839C2×D4×C67—42no—
840C2×D4×C67—48no—
841C2×D4×C67—48no—
842C2×D4×C67—44no—
843C2×D4×C67—44no—
844C2×D4×C67—44no—
845C2×D4×C67—44no—
846C2×D4×C67—44no—
847C2×D4×C67—48no—
848C2×D4×C67C2414yes—
849C2×D4×C67C2414yes—
850C2×D4×C67C2414yes—
851C2×D4×C67C2414yes—
852C2×D4×C67C2414yes—
853C2×D4×C67C2414yes—
854C2×D4×C67C2414yes—
855C2×D4×C67C2414yes—
856C2×D4×C67C2414yes—
857C2×D4×C67C2414yes—
858C2×D4×C67C2414yes—
859C2×D4×C67C2414yes—
860C2×D4×C67C2412yes—
861C2×D4×C67C2414yes—
862C22×C4×C67—42no—
863C22×C4×C67C2412yes—
864C22×C4×C67C2411yescharacteristic
865C22×C4×C67C2411yescharacteristic
866C22×C4×C67C2412yes—
867C22×C4×C67C2412yes—
868C22×C4×C67C2412yes—
869C22×C4×C67C2412yes—
870C22×C4×C67C2412yes—
871C22×C4×C67C2412yes—
872C22×C4×C67C2412yes—
873C22×C4×C67C2414yes—
874C4⋊C4×C67C2412yes—
875C4⋊C4×C67C2412yes—
876C4⋊C4×C67C2414yes—
877C4⋊C4×C67C2414yes—
878C22⋊C4×C67C2414yes—
879C22⋊C4×C67C2414yes—
880C22⋊C4×C67C2414yes—
881C22⋊C4×C67C2414yes—
882C22⋊C4×C67C2414yes—
883C22⋊C4×C67C2414yes—
884C22⋊C4×C67C2414yes—
885C22⋊C4×C67C2414yes—
886C22⋊C4×C67C2414yes—
887C22⋊C4×C67C2414yes—
888C22⋊C4×C67C2414yes—
889C42×C67C2414yes—
890C23×C67—22no—
891C23×C67—22no—
892C23×C67—22no—
893C23×C67—24no—
894C23×C67—24no—
895C23×C67—22no—
896C23×C67—24no—
897C23×C67—24no—
898C23×C67—22no—
899C23×C67—24no—
900C23×C67—22no—
901C23×C67—24no—
902C23×C67—24no—
903C23×C67—41no—
904C23×C67—42no—
905C23×C67—41no—
906C23×C67—41no—
907C23×C67—42no—
908C23×C67—41no—
909C23×C67—42no—
910C23×C67—42no—
911C23×C67—42no—
912C23×C67—42no—
913C23×C67—41no—
914C23×C67—42no—
915C23×C67—41no—
916C23×C67—41no—
917C23×C67—42no—
918C23×C67—41no—
919C23×C67—42no—
920C23×C67—42no—
921C23×C67—42no—
922C23×C67—416no—
923C23×C67—88no—
924C23×C67H(5,𝔽2)14yescomplemented
925C23×C67C2512yes—
926C23×C67C2512yes—
927C23×C67C2512yes—
928C23×C67C2514yes—
929C23×C67C2511yescharacteristic
930C23×C67C2511yescharacteristic
931C23×C67C2512yes—
932C23×C67C2511yescharacteristic
933C22×D67—24no—
934C22×D67—24no—
935C22×D67—24no—
936C22×D67—24no—
937C22×D67—42no—
938C22×D67—42no—
939C22×D67—42no—
940C22×D67—42no—
941C22×D67—42no—
942C22×D67—42no—
943C22×D67—42no—
944C22×D67—42no—
945C22×D67—42no—
946C22×D67—44no—
947C22×D67—42no—
948C22×D67—44no—
949C22×D67—44no—
950C22×D67—42no—
951C22×D67—88no—
952C22×D67C2514yes—
953C22×D67C2514yes—
954Q8×C67—42no—
955D4×C67—28no—
956D4×C67—28no—
957D4×C67—28no—
958D4×C67—28no—
959D4×C67—28no—
960D4×C67—28no—
961D4×C67—44no—
962D4×C67—44no—
963D4×C67—44no—
964D4×C67—42no—
965D4×C67—44no—
966D4×C67—44no—
967D4×C67—44no—
968D4×C67—44no—
969C2×C4×C67—22no—
970C2×C4×C67—22no—
971C2×C4×C67—24no—
972C2×C4×C67—42no—
973C2×C4×C67—42no—
974C2×C4×C67—42no—
975C2×C4×C67—42no—
976C2×C4×C67—42no—
977C2×C4×C67—44no—
978C2×C4×C67—42no—
979C2×C4×C67—42no—
980C2×C4×C67C2512yes—
981C2×C4×C67C2514yes—
982C2×C4×C67C2514yes—
983C2×C4×C67C2514yes—
984C2×C4×C67C2512yes—
985C22⋊D67—28no—
986C22⋊D67—28no—
987C22⋊D67—28no—
988C22⋊D67—28no—
989C22⋊D67—28no—
990C22⋊D67—28no—
991C22⋊D67—28no—
992C22⋊D67—28no—
993C22⋊D67—28no—
994C22⋊D67—44no—
995C22⋊D67—44no—
996C22⋊D67—44no—
997C22⋊D67—44no—
998C22⋊D67—44no—
999C22⋊D67—44no—
1000C22⋊D67—44no—
1001C22⋊D67—44no—
1002C22⋊D67—44no—
1003C22⋊D67—44no—
1004C22⋊D67—44no—
1005C22⋊D67—44no—
1006C22⋊D67—44no—
1007C22⋊D67—44no—
1008C2×Dic67—22no—
1009C2×Dic67—24no—
1010C2×Dic67—24no—
1011C2×Dic67—24no—
1012C2×Dic67—24no—
1013C2×Dic67—24no—
1014C2×Dic67—24no—
1015C2×Dic67—24no—
1016C2×Dic67—24no—
1017C2×Dic67—24no—
1018C2×Dic67—28no—
1019C2×Dic67—41no—
1020C2×Dic67—42no—
1021C2×Dic67—42no—
1022C2×Dic67—42no—
1023C2×Dic67—41no—
1024C2×Dic67—42no—
1025C2×Dic67—42no—
1026C2×Dic67—42no—
1027C2×Dic67—42no—
1028C2×Dic67—42no—
1029C2×Dic67—44no—
1030C2×Dic67—42no—
1031C2×Dic67—42no—
1032C2×Dic67—42no—
1033C2×Dic67—42no—
1034C2×Dic67—44no—
1035C2×Dic67H(5,𝔽2)14yescomplemented
1036C2×Dic67C2512yes—
1037C2×Dic67C2514yes—
1038C2×Dic67C2514yes—
1039C2×Dic67C2514yes—
1040C2×Dic67C2514yes—
1041C2×Dic67C2512yes—
1042C2×Dic67C2512yes—
1043C2×Dic67C2512yes—
1044D268—44no—
1045D268—42no—
1046D268—44no—
1047D268—44no—
1048C4×D67—28no—
1049C4×D67—44no—
1050C4×D67—44no—
1051C4×D67—44no—
1052C4×D67—44no—
1053C4×D67—44no—
1054C4×D67—44no—
1055Dic134—28no—
1056Dic134—44no—
1057Dic134—42no—
1058Dic134—44no—
1059C22×C67—28no—
1060C22×C67—22no—
1061C22×C67—21no—
1062C22×C67—21no—
1063C22×C67—21no—
1064C22×C67—21no—
1065C22×C67—22no—
1066C22×C67—21no—
1067C22×C67—21no—
1068C22×C67—22no—
1069C22×C67—24no—
1070C22×C67—22no—
1071C22×C67—24no—
1072C22×C67—22no—
1073C22×C67—22no—
1074C22×C67—22no—
1075C22×C67—22no—
1076C22×C67—22no—
1077C22×C67—22no—
1078C22×C67—22no—
1079C22×C67—24no—
1080C22×C67—44no—
1081C22×C67—48no—
1082C22×C67—48no—
1083C22×C67—44no—
1084C22×C67—84no—
1085C22×C67—82no—
1086C22×C67—84no—
1087C22×C67—82no—
1088C22×C67—84no—
1089C22×C67—162no—
1090C22×C67C2×H(5,𝔽2)12yes—
1091C22×C67C2×H(5,𝔽2)12yes—
1092C22×C67C2×H(5,𝔽2)14yes—
1093C22×C67#58512yes—
1094C22×C67C2611yescharacteristic
1095C2×D67—24no—
1096C2×D67—24no—
1097C2×D67—24no—
1098C2×D67—24no—
1099C2×D67—24no—
1100C2×D67—24no—
1101C2×D67—84no—
1102C2×D67—84no—
1103C2×D67—84no—
1104C2×D67—84no—
1105C2×D67—164no—
1106C2×D67—162no—
1107C4×C67—24no—
1108C4×C67—22no—
1109C4×C67—24no—
1110C4×C67—22no—
1111C4×C67—24no—
1112Dic67—24no—
1113Dic67—24no—
1114Dic67—22no—
1115Dic67—24no—
1116Dic67—22no—
1117Dic67—22no—
1118Dic67—24no—
1119Dic67C2×H(5,𝔽2)14yes—
1120#62818—671nomaximal, Sylow
1121C2×C67—22no—
1122C2×C67—22no—
1123C2×C67—22no—
1124C2×C67—24no—
1125C2×C67—42no—
1126C2×C67—44no—
1127C2×C67—42no—
1128C2×C67—42no—
1129C2×C67C22×H(5,𝔽2)11yescharacteristic
1130C2×C67C22×H(5,𝔽2)11yescharacteristic
1131C2×C67C2×#58511yescharacteristic
1132D67—44no—
1133D67—44no—
1134#3542—674no—
1135#3542—674no—
1136#3537—674no—
1137#3536—674no—
1138#3534—674no—
1139#3534—674no—
1140#3519—674no—
1141#3519—674no—
1142#3505—672no—
1143#3505—672no—
1144#3496—672no—
1145#3496—672no—
1146#3494—674no—
1147#3492—672no—
1148#3490—672no—
1149#3490—672no—
1150#3488—674no—
1151#3484—671no—
1152#3484—672no—
1153#3484—672no—
1154#3484D6711yescharacteristic, complemented
1155C2×#525—672no—
1156C22×#121—671no—
1157C67#6281811yescharacteristic, complemented, Sylow
1158C2×H(5,𝔽2)—672no—
1159C2×H(5,𝔽2)—671no—
1160C2×H(5,𝔽2)—672no—
1161C2×H(5,𝔽2)C2×D6711yescharacteristic, complemented
1162C22×#41—672no—
1163C23×D4—671no—
1164C23×D4—671no—
1165C23×D4C2×D6711yescharacteristic, complemented
1166C24×C4—671no—
1167#562—674no—
1168#562—674no—
1169#562—674no—
1170#562—674no—
1171#560—674no—
1172#560—674no—
1173#560—674no—
1174#560—674no—
1175#555—674no—
1176#555—674no—
1177#554—674no—
1178#554—674no—
1179#553—674no—
1180#553—674no—
1181#553—674no—
1182#553—674no—
1183#553—674no—
1184#553—674no—
1185#553—674no—
1186#553—674no—
1187#553—674no—
1188#553—674no—
1189#552—674no—
1190#552—674no—
1191#551—674no—
1192#551—674no—
1193#551—674no—
1194#551—674no—
1195#551—674no—
1196#551—674no—
1197#551—674no—
1198#551—674no—
1199#550—674no—
1200#550—674no—
1201#548—674no—
1202#548—674no—
1203#547—674no—
1204#547—674no—
1205#547—674no—
1206#547—674no—
1207#546—674no—
1208#546—674no—
1209#546—674no—
1210#546—674no—
1211#546—674no—
1212#546—674no—
1213#546—674no—
1214#546—674no—
1215#546—674no—
1216#546—674no—
1217#546—674no—
1218#546—674no—
1219#546—674no—
1220#546—674no—
1221#546—674no—
1222#546—674no—
1223#546—674no—
1224#546—674no—
1225#546—674no—
1226#546—674no—
1227#546—674no—
1228#546—674no—
1229#546—674no—
1230#546—674no—
1231#546C2×D6714yescomplemented
1232#546C2×D6714yescomplemented
1233D42—674no—
1234D42—674no—
1235D42—674no—
1236D42—674no—
1237D42—674no—
1238D42—674no—
1239D42—674no—
1240D42—674no—
1241D42—674no—
1242D42—674no—
1243D42—674no—
1244D42—674no—
1245D42C2×D6714yescomplemented
1246D42C2×D6714yescomplemented
1247#544—672no—
1248#543—672no—
1249#543—672no—
1250#542—674no—
1251#542—674no—
1252#540—674no—
1253#540—674no—
1254#540—674no—
1255#540—674no—
1256#540—674no—
1257#540—674no—
1258#539—674no—
1259#539—672no—
1260#539—672no—
1261#539—674no—
1262#539—674no—
1263#538—674no—
1264#538—672no—
1265#538—672no—
1266#538—674no—
1267#538—674no—
1268#538—674no—
1269#538—674no—
1270#538—674no—
1271#538—674no—
1272#538—674no—
1273#538—674no—
1274#537—674no—
1275#537—672no—
1276#537—674no—
1277#537—674no—
1278#537—674no—
1279#535—672no—
1280#535—674no—
1281#535—674no—
1282#535—674no—
1283#535—674no—
1284#535C2×D6712yescomplemented
1285#534—672no—
1286#534—672no—
1287#534—672no—
1288#534—672no—
1289#534—672no—
1290#534—674no—
1291#534—672no—
1292#534—674no—
1293#534—674no—
1294#534—674no—
1295#534—672no—
1296#534—672no—
1297#534C2×D6712yescomplemented
1298#534C2×D6712yescomplemented
1299#532—674no—
1300#532—674no—
1301#529—674no—
1302#529—674no—
1303#525—672no—
1304#525—674no—
1305#525—674no—
1306#525—674no—
1307#525—674no—
1308#525—674no—
1309#525—674no—
1310#525—674no—
1311#525—674no—
1312#525—674no—
1313#525—674no—
1314#525—674no—
1315#525C2×D6712yescomplemented
1316C2×#123—672no—
1317C2×#123—672no—
1318C2×C22⋊Q8—672no—
1319C2×C22⋊Q8—672no—
1320C2×#121—674no—
1321C2×#121—672no—
1322C2×#121—672no—
1323C2×#121—674no—
1324C2×#121—674no—
1325C2×#121—674no—
1326C2×#121—672no—
1327C2×#121—672no—
1328C2×#121—672no—
1329C2×#121—672no—
1330C2×#121—674no—
1331C2×#121—674no—
1332C2×#120—672no—
1333C2×#120—672no—
1334C2×#120—674no—
1335C2×#120C2×D6712yescomplemented
1336C2×#120C2×D6712yescomplemented
1337#520—674no—
1338#518—671no—
1339#518—672no—
1340#518—674no—
1341#518—672no—
1342#518—672no—
1343#518—672no—
1344#518C2×D6711yescharacteristic, complemented
1345C2×C4×D4—672no—
1346C2×C4×D4—672no—
1347C2×C4×D4—672no—
1348C2×C4×D4—672no—
1349C2×#117—672no—
1350C22×C4⋊C4—671no—
1351C22×C22⋊C4—671no—
1352C22×C22⋊C4—671no—
1353C25—671no—
1354C25C22×D6711yescharacteristic
1355C25C22×D6711yescharacteristic
1356H(5,𝔽2)—44no—
1357H(5,𝔽2)—2684no—
1358H(5,𝔽2)—2688no—
1359H(5,𝔽2)—2688no—
1360C2×#41—2688no—
1361C2×#41—674no—
1362C2×#41—674no—
1363C2×#41—674no—
1364C2×#41—674no—
1365C2×#41—674no—
1366C2×#41—674no—
1367C2×#41—674no—
1368C2×#41—674no—
1369C2×#41—672no—
1370C2×#41—674no—
1371C2×#41—674no—
1372C2×#41C22×D6712yes—
1373C2×#41C22×D6714yescomplemented
1374C22×Q8—672no—
1375C22×D4—44no—
1376C22×D4—2684no—
1377C22×D4—2684no—
1378C22×D4—672no—
1379C22×D4—672no—
1380C22×D4—672no—
1381C22×D4—672no—
1382C22×D4—672no—
1383C22×D4—672no—
1384C22×D4—672no—
1385C22×D4—672no—
1386C22×D4—674no—
1387C22×D4—674no—
1388C22×D4—672no—
1389C22×D4—674no—
1390C22×D4—672no—
1391C22×D4—674no—
1392C22×D4—674no—
1393C22×D4—674no—
1394C22×D4—674no—
1395C22×D4—674no—
1396C22×D4—674no—
1397C22×D4—674no—
1398C22×D4—674no—
1399C22×D4—672no—
1400C22×D4—672no—
1401C22×D4—672no—
1402C22×D4C22×D6712yes—
1403C22×D4C22×D6711yescharacteristic
1404C22×D4C22×D6711yescharacteristic
1405C22×D4C22×D6712yes—
1406C22×D4C22×D6712yes—
1407C22×D4C22×D6712yes—
1408C22×D4C22×D6712yes—
1409C22×D4C22×D6712yes—
1410C22×D4C22×D6711yescharacteristic
1411C22×D4C22×D6711yescharacteristic
1412C22×D4C22×D6714yes—
1413C22×D4C22×D6714yes—
1414C22×D4C22×D6714yescomplemented
1415C23×C4—2684no—
1416C23×C4—671no—
1417C23×C4—671no—
1418C23×C4—672no—
1419C23×C4—672no—
1420C23×C4—672no—
1421C23×C4—672no—
1422C23×C4—672no—
1423C23×C4—672no—
1424C23×C4—672no—
1425C23×C4—671no—
1426C23×C4—672no—
1427C23×C4C22×D6711yescharacteristic
1428C4⋊Q8—674no—
1429C4⋊Q8—674no—
1430#127—674no—
1431#127—674no—
1432#127—674no—
1433#127—674no—
1434#127—674no—
1435#127C22×D6714yescomplemented
1436#126—674no—
1437#126—674no—
1438#126—674no—
1439#126—674no—
1440#126—674no—
1441#126—674no—
1442#126—674no—
1443#126—674no—
1444#126—674no—
1445#126—674no—
1446#126—674no—
1447#126—674no—
1448#125—674no—
1449#125—674no—
1450#125—674no—
1451#125—674no—
1452#125—674no—
1453#125—674no—
1454#124—674no—
1455#124—674no—
1456#124—674no—
1457#124—674no—
1458#124—674no—
1459#124—674no—
1460#124—674no—
1461#124—674no—
1462#124—674no—
1463#124—674no—
1464#124—674no—
1465#124—674no—
1466#124—674no—
1467#124C22×D6714yescomplemented
1468#123—674no—
1469#123—674no—
1470#123—674no—
1471#123—674no—
1472#123—674no—
1473#123—674no—
1474#123—674no—
1475#123—674no—
1476#123—674no—
1477#123—674no—
1478#123—674no—
1479#123—674no—
1480#123—674no—
1481#123—674no—
1482#123—674no—
1483#123—674no—
1484#123—674no—
1485#123—674no—
1486#123—674no—
1487#123—674no—
1488#123—674no—
1489#123—674no—
1490#123—674no—
1491#123—674no—
1492#123—674no—
1493#123—674no—
1494#123—674no—
1495#123—674no—
1496#123—674no—
1497#123—674no—
1498#123—674no—
1499#123—674no—
1500#123—674no—
1501#123—674no—
1502#123—674no—
1503#123—674no—
1504#123—674no—
1505#123C22×D6714yes—
1506#123C22×D6714yescomplemented
1507#123C22×D6714yescomplemented
1508C22⋊Q8—674no—
1509C22⋊Q8—674no—
1510C22⋊Q8—672no—
1511C22⋊Q8—672no—
1512C22⋊Q8—674no—
1513C22⋊Q8—674no—
1514C22⋊Q8—674no—
1515C22⋊Q8—674no—
1516C22⋊Q8—674no—
1517C22⋊Q8—674no—
1518C22⋊Q8—674no—
1519C22⋊Q8—674no—
1520C22⋊Q8—674no—
1521C22⋊Q8—674no—
1522C22⋊Q8—674no—
1523C22⋊Q8—674no—
1524C22⋊Q8—674no—
1525C22⋊Q8—674no—
1526C22⋊Q8—674no—
1527C22⋊Q8—674no—
1528C22⋊Q8—674no—
1529C22⋊Q8—674no—
1530C22⋊Q8—674no—
1531C22⋊Q8—674no—
1532C22⋊Q8—674no—
1533C22⋊Q8—674no—
1534C22⋊Q8C22×D6712yes—
1535C22⋊Q8C22×D6712yes—
1536#121—674no—
1537#121—674no—
1538#121—674no—
1539#121—674no—
1540#121—674no—
1541#121—674no—
1542#121—674no—
1543#121—674no—
1544#121—674no—
1545#121—674no—
1546#121—674no—
1547#121—674no—
1548#121—674no—
1549#121—674no—
1550#121—674no—
1551#121—674no—
1552#121—674no—
1553#121—674no—
1554#121—674no—
1555#121—674no—
1556#121—674no—
1557#121—674no—
1558#121—674no—
1559#121—674no—
1560#121—674no—
1561#121—674no—
1562#121—674no—
1563#121—674no—
1564#121—674no—
1565#121—674no—
1566#121—674no—
1567#121—674no—
1568#121—674no—
1569#121—674no—
1570#121—674no—
1571#121—674no—
1572#121—674no—
1573#121—674no—
1574#121—674no—
1575#121—674no—
1576#121—674no—
1577#121—674no—
1578#121—674no—
1579#121—674no—
1580#121—674no—
1581#121—674no—
1582#121—674no—
1583#121—674no—
1584#121—674no—
1585#121—674no—
1586#121—674no—
1587#121—672no—
1588#121—672no—
1589#121—674no—
1590#121—674no—
1591#121—674no—
1592#121—674no—
1593#121—674no—
1594#121—674no—
1595#121—674no—
1596#121—674no—
1597#121—674no—
1598#121—674no—
1599#121—674no—
1600#121—674no—
1601#121—674no—
1602#121—674no—
1603#121—674no—
1604#121C22×D6712yes—
1605#121C22×D6712yes—
1606#121C22×D6714yescomplemented
1607#121C22×D6714yescomplemented
1608#121C22×D6714yescomplemented
1609#121C22×D6714yescomplemented
1610#121C22×D6714yescomplemented
1611#121C22×D6714yescomplemented
1612#120—674no—
1613#120—674no—
1614#120—674no—
1615#120—674no—
1616#120—674no—
1617#120—674no—
1618#120—674no—
1619#120—674no—
1620#120—674no—
1621#120—674no—
1622#120—674no—
1623#120—674no—
1624#120—674no—
1625#120—674no—
1626#120—674no—
1627#120—674no—
1628#120—674no—
1629#120—674no—
1630#120—674no—
1631#120—674no—
1632#120—674no—
1633#120—674no—
1634#120—674no—
1635#120—674no—
1636#120—674no—
1637#120—674no—
1638#120—674no—
1639#120C22×D6714yes—
1640#120C22×D6714yes—
1641#120C22×D6714yes—
1642#120C22×D6714yes—
1643#120C22×D6714yes—
1644#120C22×D6714yes—
1645#120C22×D6714yes—
1646#120C22×D6714yescomplemented
1647#120C22×D6714yescomplemented
1648C4×Q8—674no—
1649C4×Q8—674no—
1650C4×D4—674no—
1651C4×D4—674no—
1652C4×D4—674no—
1653C4×D4—674no—
1654C4×D4—674no—
1655C4×D4—674no—
1656C4×D4—674no—
1657C4×D4—674no—
1658C4×D4—674no—
1659C4×D4—674no—
1660C4×D4—674no—
1661C4×D4—674no—
1662C4×D4—674no—
1663C4×D4—674no—
1664C4×D4—674no—
1665C4×D4—674no—
1666C4×D4—674no—
1667C4×D4—674no—
1668C4×D4—674no—
1669C4×D4—674no—
1670C4×D4—674no—
1671C4×D4—674no—
1672C4×D4—674no—
1673C4×D4—674no—
1674C4×D4—674no—
1675C4×D4—674no—
1676C4×D4—674no—
1677C4×D4—674no—
1678C4×D4—674no—
1679C4×D4—674no—
1680C4×D4—674no—
1681C4×D4—674no—
1682C4×D4—674no—
1683C4×D4—674no—
1684C4×D4—674no—
1685C4×D4—674no—
1686C4×D4—674no—
1687C4×D4—674no—
1688C4×D4—674no—
1689C4×D4—674no—
1690C4×D4—674no—
1691C4×D4—674no—
1692C4×D4C22×D6714yes—
1693C4×D4C22×D6714yes—
1694C4×D4C22×D6714yescomplemented
1695C4×D4C22×D6714yescomplemented
1696#117—672no—
1697#117—674no—
1698#117—674no—
1699#117—674no—
1700#117—674no—
1701#117—674no—
1702#117—674no—
1703#117—674no—
1704#117—674no—
1705#117—674no—
1706#117—674no—
1707#117—674no—
1708#117C22×D6712yes—
1709C2×C4⋊C4—672no—
1710C2×C4⋊C4—672no—
1711C2×C4⋊C4—672no—
1712C2×C4⋊C4—672no—
1713C2×C4⋊C4—674no—
1714C2×C4⋊C4—672no—
1715C2×C4⋊C4—672no—
1716C2×C4⋊C4—672no—
1717C2×C4⋊C4—672no—
1718C2×C4⋊C4—672no—
1719C2×C4⋊C4—672no—
1720C2×C4⋊C4—674no—
1721C2×C4⋊C4—674no—
1722C2×C22⋊C4—672no—
1723C2×C22⋊C4—672no—
1724C2×C22⋊C4—672no—
1725C2×C22⋊C4—672no—
1726C2×C22⋊C4—674no—
1727C2×C22⋊C4—672no—
1728C2×C22⋊C4—672no—
1729C2×C22⋊C4—672no—
1730C2×C22⋊C4—672no—
1731C2×C22⋊C4—672no—
1732C2×C22⋊C4—672no—
1733C2×C22⋊C4—672no—
1734C2×C22⋊C4—672no—
1735C2×C22⋊C4—674no—
1736C2×C22⋊C4—672no—
1737C2×C22⋊C4—672no—
1738C2×C22⋊C4—672no—
1739C2×C22⋊C4—672no—
1740C2×C22⋊C4—674no—
1741C2×C22⋊C4—672no—
1742C2×C22⋊C4—672no—
1743C2×C22⋊C4—674no—
1744C2×C22⋊C4—674no—
1745C2×C22⋊C4—674no—
1746C2×C22⋊C4—674no—
1747C2×C22⋊C4—674no—
1748C2×C22⋊C4—674no—
1749C2×C22⋊C4C22×D6712yes—
1750C2×C22⋊C4C22×D6712yes—
1751C2×C22⋊C4C22×D6712yes—
1752C2×C22⋊C4C22×D6712yes—
1753C2×C22⋊C4C22×D6712yes—
1754C2×C22⋊C4C22×D6712yes—
1755C2×C42—672no—
1756C2×C42—672no—
1757C24—24no—
1758C24—42no—
1759C24—42no—
1760C24—42no—
1761C24—42no—
1762C24—42no—
1763C24—2682no—
1764C24—2682no—
1765C24—2682no—
1766C24—674no—
1767C24—672no—
1768C24—672no—
1769C24—672no—
1770C24—672no—
1771C24—672no—
1772C24C23×D6711yescharacteristic
1773C24C23×D6712yes—
1774C24C23×D6712yes—
1775C24C23×D6711yescharacteristic
1776C24C23×D6712yes—
1777C24C23×D6712yes—
1778C24C23×D6711yescharacteristic
1779C24C23×D6712yes—
1780C24C23×D6711yescharacteristic
1781C24C23×D6712yes—
1782C24C23×D6711yescharacteristic
1783#41—44no—
1784#41—48no—
1785#41—2684no—
1786#41—2688no—
1787#41—2688no—
1788#41—2688no—
1789#41—2688no—
1790#41—2688no—
1791#41—2688no—
1792#41—2688no—
1793#41—2688no—
1794#41—2688no—
1795#41—13416no—
1796C2×Q8—2684no—
1797C2×Q8—674no—
1798C2×Q8—672no—
1799C2×Q8—674no—
1800C2×Q8—674no—
1801C2×Q8C23×D6712yes—
1802C2×D4—24no—
1803C2×D4—24no—
1804C2×D4—28no—
1805C2×D4—42no—
1806C2×D4—42no—
1807C2×D4—48no—
1808C2×D4—48no—
1809C2×D4—44no—
1810C2×D4—44no—
1811C2×D4—44no—
1812C2×D4—44no—
1813C2×D4—44no—
1814C2×D4—48no—
1815C2×D4—2688no—
1816C2×D4—2688no—
1817C2×D4—2688no—
1818C2×D4—2688no—
1819C2×D4—2688no—
1820C2×D4—2688no—
1821C2×D4—2688no—
1822C2×D4—2684no—
1823C2×D4—2684no—
1824C2×D4—2688no—
1825C2×D4—2684no—
1826C2×D4—2684no—
1827C2×D4—2684no—
1828C2×D4—2688no—
1829C2×D4—2684no—
1830C2×D4—2684no—
1831C2×D4—2684no—
1832C2×D4—2688no—
1833C2×D4—2684no—
1834C2×D4—2684no—
1835C2×D4—2688no—
1836C2×D4—674no—
1837C2×D4—674no—
1838C2×D4—674no—
1839C2×D4—674no—
1840C2×D4—674no—
1841C2×D4—674no—
1842C2×D4—674no—
1843C2×D4—674no—
1844C2×D4—674no—
1845C2×D4—674no—
1846C2×D4—674no—
1847C2×D4—674no—
1848C2×D4—674no—
1849C2×D4—674no—
1850C2×D4—674no—
1851C2×D4—674no—
1852C2×D4—674no—
1853C2×D4—674no—
1854C2×D4—674no—
1855C2×D4—674no—
1856C2×D4—674no—
1857C2×D4—674no—
1858C2×D4—674no—
1859C2×D4—674no—
1860C2×D4—674no—
1861C2×D4—674no—
1862C2×D4—672no—
1863C2×D4—1348no—
1864C2×D4—1348no—
1865C2×D4—1348no—
1866C2×D4C23×D6714yes—
1867C2×D4C23×D6714yes—
1868C2×D4C23×D6714yes—
1869C2×D4C23×D6714yes—
1870C2×D4C23×D6714yes—
1871C2×D4C23×D6714yes—
1872C2×D4C23×D6714yes—
1873C2×D4C23×D6714yes—
1874C2×D4C23×D6712yes—
1875C2×D4C23×D6714yes—
1876C2×D4C23×D6714yes—
1877C2×D4C23×D6714yes—
1878C2×D4C23×D6714yes—
1879C2×D4C23×D6714yes—
1880C22×C4—42no—
1881C22×C4—2684no—
1882C22×C4—2684no—
1883C22×C4—2682no—
1884C22×C4—2682no—
1885C22×C4—2684no—
1886C22×C4—2684no—
1887C22×C4—2684no—
1888C22×C4—2684no—
1889C22×C4—2684no—
1890C22×C4—672no—
1891C22×C4—671no—
1892C22×C4—672no—
1893C22×C4—671no—
1894C22×C4—672no—
1895C22×C4—672no—
1896C22×C4—672no—
1897C22×C4—672no—
1898C22×C4—672no—
1899C22×C4—672no—
1900C22×C4—674no—
1901C22×C4—672no—
1902C22×C4—672no—
1903C22×C4—674no—
1904C22×C4—672no—
1905C22×C4—672no—
1906C22×C4—674no—
1907C22×C4—674no—
1908C22×C4—674no—
1909C22×C4—674no—
1910C22×C4—674no—
1911C22×C4—674no—
1912C22×C4—671no—
1913C22×C4—672no—
1914C22×C4—672no—
1915C22×C4—672no—
1916C22×C4—672no—
1917C22×C4—672no—
1918C22×C4—672no—
1919C22×C4—672no—
1920C22×C4—671no—
1921C22×C4—674no—
1922C22×C4—672no—
1923C22×C4—672no—
1924C22×C4—674no—
1925C22×C4—1344no—
1926C22×C4—1348no—
1927C22×C4C23×D6712yes—
1928C22×C4C23×D6711yescharacteristic
1929C22×C4C23×D6711yescharacteristic
1930C22×C4C23×D6712yes—
1931C22×C4C23×D6712yes—
1932C22×C4C23×D6712yes—
1933C22×C4C23×D6714yes—
1934C22×C4C23×D6712yes—
1935C22×C4C23×D6712yes—
1936C22×C4C23×D6712yes—
1937C22×C4C23×D6712yes—
1938C4⋊C4—674no—
1939C4⋊C4—674no—
1940C4⋊C4—674no—
1941C4⋊C4—674no—
1942C4⋊C4—674no—
1943C4⋊C4—674no—
1944C4⋊C4—674no—
1945C4⋊C4—674no—
1946C4⋊C4—674no—
1947C4⋊C4—674no—
1948C4⋊C4—674no—
1949C4⋊C4—674no—
1950C4⋊C4—674no—
1951C4⋊C4—674no—
1952C4⋊C4—674no—
1953C4⋊C4—674no—
1954C4⋊C4—674no—
1955C4⋊C4—674no—
1956C4⋊C4—674no—
1957C4⋊C4—674no—
1958C4⋊C4—672no—
1959C4⋊C4—674no—
1960C4⋊C4—672no—
1961C4⋊C4—674no—
1962C4⋊C4—674no—
1963C4⋊C4—674no—
1964C4⋊C4C23×D6714yes—
1965C4⋊C4C23×D6714yes—
1966C4⋊C4C23×D6712yes—
1967C4⋊C4C23×D6712yes—
1968C22⋊C4—674no—
1969C22⋊C4—674no—
1970C22⋊C4—674no—
1971C22⋊C4—674no—
1972C22⋊C4—674no—
1973C22⋊C4—674no—
1974C22⋊C4—674no—
1975C22⋊C4—674no—
1976C22⋊C4—674no—
1977C22⋊C4—674no—
1978C22⋊C4—674no—
1979C22⋊C4—674no—
1980C22⋊C4—674no—
1981C22⋊C4—674no—
1982C22⋊C4—674no—
1983C22⋊C4—674no—
1984C22⋊C4—674no—
1985C22⋊C4—674no—
1986C22⋊C4—674no—
1987C22⋊C4—674no—
1988C22⋊C4—674no—
1989C22⋊C4—674no—
1990C22⋊C4—674no—
1991C22⋊C4—674no—
1992C22⋊C4—674no—
1993C22⋊C4—674no—
1994C22⋊C4—674no—
1995C22⋊C4—674no—
1996C22⋊C4—674no—
1997C22⋊C4—674no—
1998C22⋊C4—674no—
1999C22⋊C4—674no—
2000C22⋊C4—674no—
2001C22⋊C4—674no—
2002C22⋊C4—674no—
2003C22⋊C4—674no—
2004C22⋊C4—674no—
2005C22⋊C4C23×D6714yes—
2006C22⋊C4C23×D6714yes—
2007C22⋊C4C23×D6714yes—
2008C22⋊C4C23×D6714yes—
2009C22⋊C4C23×D6714yes—
2010C22⋊C4C23×D6714yes—
2011C22⋊C4C23×D6714yes—
2012C22⋊C4C23×D6714yes—
2013C22⋊C4C23×D6714yes—
2014C22⋊C4C23×D6714yes—
2015C22⋊C4C23×D6714yes—
2016C42—674no—
2017C42—674no—
2018C42—674no—
2019C42—674no—
2020C42—674no—
2021C42—674no—
2022C42—674no—
2023C42C23×D6714yes—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—24no—
2028C23—24no—
2029C23—24no—
2030C23—22no—
2031C23—24no—
2032C23—24no—
2033C23—22no—
2034C23—24no—
2035C23—22no—
2036C23—24no—
2037C23—41no—
2038C23—42no—
2039C23—41no—
2040C23—41no—
2041C23—42no—
2042C23—41no—
2043C23—42no—
2044C23—42no—
2045C23—42no—
2046C23—42no—
2047C23—41no—
2048C23—42no—
2049C23—41no—
2050C23—41no—
2051C23—42no—
2052C23—41no—
2053C23—42no—
2054C23—42no—
2055C23—42no—
2056C23—416no—
2057C23—88no—
2058C23—2682no—
2059C23—2682no—
2060C23—2682no—
2061C23—2682no—
2062C23—2682no—
2063C23—2682no—
2064C23—2682no—
2065C23—2682no—
2066C23—2684no—
2067C23—2682no—
2068C23—2684no—
2069C23—2682no—
2070C23—2682no—
2071C23—2684no—
2072C23—5368no—
2073C23—674no—
2074C23—674no—
2075C23—1344no—
2076C23—1344no—
2077C23—1344no—
2078C23—1344no—
2079C23#1452408814yescomplemented
2080C23C24×D6712yes—
2081C23C24×D6712yes—
2082C23C24×D6714yes—
2083C23C24×D6712yes—
2084C23C24×D6711yescharacteristic
2085C23C24×D6711yescharacteristic
2086C23C24×D6712yes—
2087C23C24×D6711yescharacteristic
2088Q8—42no—
2089Q8—2684no—
2090Q8—2682no—
2091Q8—2684no—
2092Q8—1348no—
2093D4—28no—
2094D4—28no—
2095D4—28no—
2096D4—28no—
2097D4—28no—
2098D4—28no—
2099D4—44no—
2100D4—44no—
2101D4—42no—
2102D4—44no—
2103D4—44no—
2104D4—44no—
2105D4—44no—
2106D4—44no—
2107D4—2684no—
2108D4—2682no—
2109D4—2684no—
2110D4—2684no—
2111D4—2684no—
2112D4—2684no—
2113D4—2684no—
2114D4—2684no—
2115D4—2684no—
2116D4—2684no—
2117D4—2684no—
2118D4—2684no—
2119D4—2684no—
2120D4—2684no—
2121D4—2684no—
2122D4—2684no—
2123D4—2684no—
2124D4—2684no—
2125D4—1348no—
2126D4—1348no—
2127D4—1348no—
2128D4—1348no—
2129D4—1348no—
2130D4—1348no—
2131D4—1348no—
2132D4—1348no—
2133D4—1348no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—24no—
2137C2×C4—42no—
2138C2×C4—42no—
2139C2×C4—42no—
2140C2×C4—44no—
2141C2×C4—42no—
2142C2×C4—42no—
2143C2×C4—42no—
2144C2×C4—42no—
2145C2×C4—2684no—
2146C2×C4—2684no—
2147C2×C4—2684no—
2148C2×C4—2684no—
2149C2×C4—2684no—
2150C2×C4—2684no—
2151C2×C4—2681no—
2152C2×C4—2682no—
2153C2×C4—2682no—
2154C2×C4—2682no—
2155C2×C4—2682no—
2156C2×C4—2682no—
2157C2×C4—2681no—
2158C2×C4—2682no—
2159C2×C4—2682no—
2160C2×C4—2682no—
2161C2×C4—2684no—
2162C2×C4—2682no—
2163C2×C4—2684no—
2164C2×C4—2682no—
2165C2×C4—2682no—
2166C2×C4—2682no—
2167C2×C4—674no—
2168C2×C4—672no—
2169C2×C4—674no—
2170C2×C4—672no—
2171C2×C4—674no—
2172C2×C4—674no—
2173C2×C4—674no—
2174C2×C4—672no—
2175C2×C4—672no—
2176C2×C4—1348no—
2177C2×C4—1344no—
2178C2×C4—1344no—
2179C2×C4—1344no—
2180C2×C4—1344no—
2181C2×C4—1344no—
2182C2×C4—1344no—
2183C2×C4—1348no—
2184C2×C4—1342no—
2185C2×C4—1344no—
2186C2×C4—1344no—
2187C2×C4—1344no—
2188C2×C4C24×D6714yes—
2189C2×C4C24×D6714yes—
2190C2×C4C24×D6712yes—
2191C2×C4C24×D6714yes—
2192C2×C4C24×D6712yes—
2193C22—28no—
2194C22—22no—
2195C22—21no—
2196C22—21no—
2197C22—21no—
2198C22—21no—
2199C22—22no—
2200C22—21no—
2201C22—21no—
2202C22—22no—
2203C22—22no—
2204C22—24no—
2205C22—22no—
2206C22—24no—
2207C22—22no—
2208C22—22no—
2209C22—22no—
2210C22—22no—
2211C22—22no—
2212C22—24no—
2213C22—22no—
2214C22—44no—
2215C22—48no—
2216C22—48no—
2217C22—44no—
2218C22—84no—
2219C22—82no—
2220C22—82no—
2221C22—84no—
2222C22—84no—
2223C22—162no—
2224C22—5364no—
2225C22—5364no—
2226C22—5364no—
2227C22—5364no—
2228C22—10722no—
2229C22—10724no—
2230C22—1344no—
2231C22—1344no—
2232C22—1344no—
2233C22—1344no—
2234C22—1344no—
2235C22—1344no—
2236C22H(5,𝔽2)×D6712yes—
2237C22C2×#1452408812yes—
2238C22C2×#1452408814yes—
2239C22#1686423112yes—
2240C22C25×D6711yescharacteristic
2241C4—24no—
2242C4—22no—
2243C4—22no—
2244C4—24no—
2245C4—24no—
2246C4—674no—
2247C4—1342no—
2248C4—1342no—
2249C4—1342no—
2250C4—1344no—
2251C4—1344no—
2252C4—1344no—
2253C4—1344no—
2254C2—22no—
2255C2—22no—
2256C2—22no—
2257C2—24no—
2258C2—42no—
2259C2—42no—
2260C2—42no—
2261C2—44no—
2262C2—2684no—
2263C2—2684no—
2264C2C2×H(5,𝔽2)×D6711yescharacteristic
2265C2C22×#1452408811yescharacteristic
2266C2C2×#1686423111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3484C2
hypercenter#3484D67
hypocenterC67#62818
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3484

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22574520C2semidirect
2. #22574512C2semidirect
3. #22574439C2semidirect
4. #22574424C2semidirect
5. #22574395C2semidirect
6. #22574387C2semidirect
7. #22574230C2semidirect
8. #22574228C2semidirect
9. #22574046C2semidirect
10. #22574039C2semidirect
11. #22573970C2semidirect
12. #22573968C2semidirect
13. #22573931C2semidirect
14. #22573910C2semidirect
15. #22573896C2semidirect
16. #22573892C2semidirect
17. #22573869C2semidirect
18. #22573844C2semidirect
19. #22573838C2semidirect
20. #22573838C2semidirect
21. C2×#16863902C2semidirect
22. C22×#14524015C2semidirect
23. C67×#3484C2semidirect
24. C2×#14524088C22semidirect
25. C2×#14524088C22semidirect
26. C2×#14524088C22semidirect
27. C22×#11761627C22semidirect
28. C23×C22⋊D67C22semidirect
29. C23×C22⋊D67C22semidirect
30. C24×Dic67C22semidirect
31. #16864143C22semidirect
32. #16864141C22semidirect
33. #16864141C22semidirect
34. #16864140C22semidirect
35. #16864135C22semidirect
36. #16864134C22semidirect
37. #16864134C22semidirect
38. #16864133C22semidirect
39. #16864110C22semidirect
40. #16864108C22semidirect
41. #16864105C22semidirect
42. #16864100C22semidirect
43. #16864098C22semidirect
44. #16864095C22semidirect
45. #16864095C22semidirect
46. #16864095C22semidirect
47. #16864092C22semidirect
48. #16864091C22semidirect
49. #16864089C22semidirect
50. #16864089C22semidirect
51. #16864089C22semidirect
52. #16864089C22semidirect
53. #16864083C22semidirect
54. #16864079C22semidirect
55. #16864077C22semidirect
56. #16864077C22semidirect
57. #16864075C22semidirect
58. #16864073C22semidirect
59. #16864072C22semidirect
60. #16864072C22semidirect
61. #16864070C22semidirect
62. #16864069C22semidirect
63. #16864066C22semidirect
64. #16864064C22semidirect
65. #16864055C22semidirect
66. #16864052C22semidirect
67. #16864045C22semidirect
68. #16864045C22semidirect
69. #16864044C22semidirect
70. #16864044C22semidirect
71. #16864041C22semidirect
72. #16864040C22semidirect
73. #16864040C22semidirect
74. #16864040C22semidirect
75. #16864040C22semidirect
76. #16864040C22semidirect
77. #16864038C22semidirect
78. #16864038C22semidirect
79. #16864036C22semidirect
80. #16864036C22semidirect
81. #16864036C22semidirect
82. #16864036C22semidirect
83. #16864035C22semidirect
84. #16864035C22semidirect
85. #16864034C22semidirect
86. #16864034C22semidirect
87. #16864033C22semidirect
88. #16864033C22semidirect
89. #16864033C22semidirect
90. #16864033C22semidirect
91. #16864033C22semidirect
92. #16864033C22semidirect
93. #16864033C22semidirect
94. #16864033C22semidirect
95. D4×C22⋊D67C22semidirect
96. D4×C22⋊D67C22semidirect
97. D4×C22⋊D67C22semidirect
98. D4×C22⋊D67C22semidirect
99. D4×C22⋊D67C22semidirect
100. D4×C22⋊D67C22semidirect
101. D4×C22⋊D67C22semidirect
102. #16864028C22semidirect
103. #16864028C22semidirect
104. #16864028C22semidirect
105. #16864028C22semidirect
106. #16864028C22semidirect
107. #16864025C22semidirect
108. #16864022C22semidirect
109. #16864021C22semidirect
110. #16864014C22semidirect
111. #16864010C22semidirect
112. #16864000C22semidirect
113. #16863999C22semidirect
114. #16863998C22semidirect
115. #16863996C22semidirect
116. #16863996C22semidirect
117. #16863996C22semidirect
118. #16863995C22semidirect
119. #16863991C22semidirect
120. #16863990C22semidirect
121. #16863988C22semidirect
122. #16863988C22semidirect
123. #16863986C22semidirect
124. #16863983C22semidirect
125. #16863983C22semidirect
126. #16863981C22semidirect
127. #16863981C22semidirect
128. #16863981C22semidirect
129. #16863981C22semidirect
130. #16863980C22semidirect
131. #16863979C22semidirect
132. #16863979C22semidirect
133. #16863978C22semidirect
134. #16863975C22semidirect
135. #16863974C22semidirect
136. #16863973C22semidirect
137. #16863973C22semidirect
138. #16863973C22semidirect
139. #16863963C22semidirect
140. #16863961C22semidirect
141. #16863961C22semidirect
142. #16863961C22semidirect
143. #16863959C22semidirect
144. #16863958C22semidirect
145. #16863958C22semidirect
146. #16863956C22semidirect
147. #16863956C22semidirect
148. #16863955C22semidirect
149. #16863955C22semidirect
150. #16863955C22semidirect
151. #16863955C22semidirect
152. #16863955C22semidirect
153. #16863955C22semidirect
154. #16863954C22semidirect
155. #16863954C22semidirect
156. #16863942C22semidirect
157. #16863941C22semidirect
158. #16863926C22semidirect
159. #16863923C22semidirect
160. #16863907C22semidirect
161. #16863905C22semidirect
162. #16863902C22semidirect
163. #16863902C22semidirect
164. #16863902C22semidirect
165. #16863902C22semidirect
166. #16863902C22semidirect
167. #16863902C22semidirect
168. #16863902C22semidirect
169. #16863902C22semidirect
170. #16863902C22semidirect
171. #16863902C22semidirect
172. C2×#14524027C22semidirect
173. C2×#14524024C22semidirect
174. C2×#14524020C22semidirect
175. C2×#14524020C22semidirect
176. C2×#14524015C22semidirect
177. C2×#14524015C22semidirect
178. C2×#14524015C22semidirect
179. C2×#14524015C22semidirect
180. C2×#14524015C22semidirect
181. C2×#14524015C22semidirect
182. C2×#14524015C22semidirect
183. C2×#14524015C22semidirect
184. C2×#14524015C22semidirect
185. C2×#14524015C22semidirect
186. C2×#14524015C22semidirect
187. #121×D67C22semidirect
188. C2×#14524012C22semidirect
189. C2×#14524012C22semidirect
190. #120×D67C22semidirect
191. #16863875C22semidirect
192. #16863871C22semidirect
193. #16863871C22semidirect
194. #16863869C22semidirect
195. #16863869C22semidirect
196. #16863869C22semidirect
197. #16863868C22semidirect
198. C2×D4×Dic67C22semidirect
199. C2×D4×Dic67C22semidirect
200. C2×(C22⋊D67)⋊C4C22semidirect
201. C2×(C22⋊D67)⋊C4C22semidirect
202. C2×#14523999C22semidirect
203. C22×Dic67⋊C4C22semidirect
204. C22×C22⋊Dic67C22semidirect
205. C22×(C2×D67)⋊C4C22semidirect
206. C2×H(5,𝔽2)×C67C22semidirect
207. C23×D4×C67C22semidirect
208. #546×C67C22semidirect
209. #546×C67C22semidirect
210. D42×C67C22semidirect
211. D42×C67C22semidirect
212. #535×C67C22semidirect
213. #534×C67C22semidirect
214. #534×C67C22semidirect
215. #525×C67C22semidirect
216. C2×#120×C67C22semidirect
217. C2×#120×C67C22semidirect
218. #518×C67C22semidirect
224. C2×#11761628C23semidirect
225. C2×#11761628C23semidirect
230. C2×#11761627C23semidirect
231. C2×#11761627C23semidirect
232. C2×#11761627C23semidirect
233. C2×#11761627C23semidirect
234. C2×#11761627C23semidirect
235. C22×Dic134C23semidirect
253. C22×C22⋊D67C23semidirect
254. C22×C22⋊D67C23semidirect
255. C22×C22⋊D67C23semidirect
259. C2×D4×D67C23semidirect
260. C2×D4×D67C23semidirect
261. C2×D4×D67C23semidirect
272. C23×Dic67C23semidirect
273. C22×C4×D67C23semidirect
274. #14524042C23semidirect
275. #14524041C23semidirect
276. #14524039C23semidirect
277. #14524039C23semidirect
278. #14524039C23semidirect
279. #14524039C23semidirect
280. #14524039C23semidirect
281. #14524038C23semidirect
282. #14524038C23semidirect
283. #14524038C23semidirect
284. #14524038C23semidirect
285. #14524037C23semidirect
286. #14524037C23semidirect
287. #14524036C23semidirect
288. #14524036C23semidirect
289. #14524036C23semidirect
290. #14524036C23semidirect
291. #14524036C23semidirect
292. #14524036C23semidirect
293. #14524035C23semidirect
294. #14524034C23semidirect
295. #14524033C23semidirect
296. #14524033C23semidirect
297. #14524033C23semidirect
298. #14524033C23semidirect
299. #14524032C23semidirect
300. #14524031C23semidirect
301. #14524030C23semidirect
302. #14524030C23semidirect
303. #14524030C23semidirect
304. #14524029C23semidirect
305. #14524029C23semidirect
306. #14524029C23semidirect
307. #14524029C23semidirect
308. #14524029C23semidirect
309. #14524029C23semidirect
310. #14524029C23semidirect
311. #14524029C23semidirect
312. #14524028C23semidirect
313. #14524028C23semidirect
314. #14524028C23semidirect
315. #14524028C23semidirect
319. #14524027C23semidirect
320. #14524027C23semidirect
321. #14524027C23semidirect
322. #14524027C23semidirect
323. #14524027C23semidirect
325. #14524026C23semidirect
326. #14524026C23semidirect
327. #14524026C23semidirect
328. #14524026C23semidirect
329. #14524026C23semidirect
330. #14524025C23semidirect
331. #14524025C23semidirect
332. #14524025C23semidirect
333. #14524025C23semidirect
334. #14524025C23semidirect
335. #14524025C23semidirect
336. #14524025C23semidirect
337. #14524025C23semidirect
341. #14524024C23semidirect
342. #14524024C23semidirect
343. #14524024C23semidirect
344. #14524024C23semidirect
345. #14524024C23semidirect
346. #14524024C23semidirect
347. #14524024C23semidirect
348. #14524024C23semidirect
349. #14524023C23semidirect
352. #14524022C23semidirect
353. #14524022C23semidirect
354. #14524022C23semidirect
355. #14524021C23semidirect
356. #14524021C23semidirect
357. #14524021C23semidirect
358. #14524021C23semidirect
365. #14524020C23semidirect
366. #14524020C23semidirect
367. #14524020C23semidirect
368. #14524020C23semidirect
369. #14524020C23semidirect
370. #14524020C23semidirect
371. #14524020C23semidirect
372. #14524020C23semidirect
373. #14524019C23semidirect
374. #14524019C23semidirect
375. #14524018C23semidirect
378. #14524017C23semidirect
379. #14524017C23semidirect
380. #14524017C23semidirect
381. #14524017C23semidirect
382. #14524017C23semidirect
383. #14524016C23semidirect
384. #14524016C23semidirect
385. #14524016C23semidirect
386. #14524016C23semidirect
387. #14524016C23semidirect
388. #14524016C23semidirect
389. #14524016C23semidirect
390. #14524016C23semidirect
391. #14524016C23semidirect
392. #14524016C23semidirect
415. #14524015C23semidirect
416. #14524015C23semidirect
417. #14524015C23semidirect
418. #14524015C23semidirect
419. #14524015C23semidirect
420. #14524015C23semidirect
421. #14524015C23semidirect
422. #14524015C23semidirect
423. #14524015C23semidirect
424. #14524015C23semidirect
425. #14524015C23semidirect
426. #14524015C23semidirect
427. #14524015C23semidirect
428. #14524015C23semidirect
429. #14524015C23semidirect
430. #14524015C23semidirect
431. #14524015C23semidirect
432. #14524015C23semidirect
433. #14524015C23semidirect
434. #14524015C23semidirect
435. #14524014C23semidirect
436. #14524014C23semidirect
437. #14524014C23semidirect
438. #14524014C23semidirect
439. #14524014C23semidirect
440. #14524014C23semidirect
441. #14524014C23semidirect
442. #14524014C23semidirect
446. #14524013C23semidirect
447. #14524013C23semidirect
448. #14524013C23semidirect
456. #14524012C23semidirect
457. #14524012C23semidirect
458. #14524012C23semidirect
462. #14524011C23semidirect
463. #14524011C23semidirect
464. #14524011C23semidirect
465. #14524011C23semidirect
466. #14524011C23semidirect
467. #14524011C23semidirect
468. #14524011C23semidirect
469. #14524011C23semidirect
470. C4×Dic134C23semidirect
471. #14524008C23semidirect
472. C4×D268C23semidirect
479. D4×Dic67C23semidirect
480. D4×Dic67C23semidirect
481. D4×Dic67C23semidirect
482. D4×Dic67C23semidirect
483. D4×Dic67C23semidirect
484. D4×Dic67C23semidirect
485. D4×Dic67C23semidirect
486. D4×Dic67C23semidirect
487. #14524005C23semidirect
490. C4×C22⋊D67C23semidirect
491. C4×C22⋊D67C23semidirect
492. C4×C22⋊D67C23semidirect
493. C4×C22⋊D67C23semidirect
494. C4×C22⋊D67C23semidirect
495. C4×C22⋊D67C23semidirect
496. C4×C22⋊D67C23semidirect
497. C4×C22⋊D67C23semidirect
504. (C22⋊D67)⋊C4C23semidirect
505. (C22⋊D67)⋊C4C23semidirect
506. (C22⋊D67)⋊C4C23semidirect
507. (C22⋊D67)⋊C4C23semidirect
508. (C22⋊D67)⋊C4C23semidirect
509. (C22⋊D67)⋊C4C23semidirect
510. (C22⋊D67)⋊C4C23semidirect
511. (C22⋊D67)⋊C4C23semidirect
512. (C22⋊D67)⋊C4C23semidirect
513. (C22⋊D67)⋊C4C23semidirect
515. #14524002C23semidirect
516. #14524001C23semidirect
517. #14524000C23semidirect
518. #14524000C23semidirect
522. #14523999C23semidirect
523. #14523999C23semidirect
524. #14523999C23semidirect
525. #14523999C23semidirect
526. C2×C4⋊Dic67C23semidirect
527. C2×C4⋊Dic67C23semidirect
533. C2×Dic67⋊C4C23semidirect
534. C2×Dic67⋊C4C23semidirect
535. C2×Dic67⋊C4C23semidirect
536. C2×Dic67⋊C4C23semidirect
537. C2×Dic67⋊C4C23semidirect
538. C4⋊C4×D67C23semidirect
550. C2×C22⋊Dic67C23semidirect
551. C2×C22⋊Dic67C23semidirect
552. C2×C22⋊Dic67C23semidirect
558. C2×(C2×D67)⋊C4C23semidirect
559. C2×(C2×D67)⋊C4C23semidirect
560. C2×(C2×D67)⋊C4C23semidirect
564. C22⋊C4×D67C23semidirect
565. C22⋊C4×D67C23semidirect
566. C2×C4×Dic67C23semidirect
567. C2×C4×Dic67C23semidirect
572. C2×#41×C67C23semidirect
586. C22×D4×C67C23semidirect
588. #127×C67C23semidirect
589. #124×C67C23semidirect
591. #123×C67C23semidirect
592. #123×C67C23semidirect
597. #121×C67C23semidirect
598. #121×C67C23semidirect
599. #121×C67C23semidirect
600. #121×C67C23semidirect
601. #121×C67C23semidirect
602. #121×C67C23semidirect
610. #120×C67C23semidirect
611. #120×C67C23semidirect
614. C4×D4×C67C23semidirect
615. C4×D4×C67C23semidirect
924. C23×C67H(5,𝔽2)semidirect
1035. C2×Dic67H(5,𝔽2)semidirect
1154. #3484D67semidirect
1157. C67#62818semidirect
1161. C2×H(5,𝔽2)C2×D67semidirect
1165. C23×D4C2×D67semidirect
1231. #546C2×D67semidirect
1232. #546C2×D67semidirect
1245. D42C2×D67semidirect
1246. D42C2×D67semidirect
1284. #535C2×D67semidirect
1297. #534C2×D67semidirect
1298. #534C2×D67semidirect
1315. #525C2×D67semidirect
1335. C2×#120C2×D67semidirect
1336. C2×#120C2×D67semidirect
1344. #518C2×D67semidirect
1373. C2×#41C22×D67semidirect
1414. C22×D4C22×D67semidirect
1435. #127C22×D67semidirect
1467. #124C22×D67semidirect
1506. #123C22×D67semidirect
1507. #123C22×D67semidirect
1606. #121C22×D67semidirect
1607. #121C22×D67semidirect
1608. #121C22×D67semidirect
1609. #121C22×D67semidirect
1610. #121C22×D67semidirect
1611. #121C22×D67semidirect
1646. #120C22×D67semidirect
1647. #120C22×D67semidirect
1694. C4×D4C22×D67semidirect
1695. C4×D4C22×D67semidirect
2079. C23#14524088semidirect

Maximal subgroups

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

subgroupindex
#225745202
#225745122
#225744392
#225744242
#225743952
#225743872
#225742302
#225742282
#225740462
#225740392
#225739702
#225739682
#225739312
#225739102
#225738962
#225738922
#225738692
#225738442
#225738382
C2×#168639022
C22×#145240152
C67×#34842
#6281867