Finite Group Databasebeta

← #35197306

Subgroups — #35197306

Order 20224.

7390 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777464C214yesmaximal, complemented
2#23777460C214yesmaximal, complemented
3#23777426C214yesmaximal, complemented
4#23777424C214yesmaximal, complemented
5#23777355C214yesmaximal, complemented
6#23777353C214yesmaximal, complemented
7#23777336C214yesmaximal, complemented
8#23777332C214yesmaximal, complemented
9#23777247C212yesmaximal, complemented
10#23777241C211yesmaximal, characteristic, complemented
11#23777238C212yesmaximal, complemented
12#23777234C211yesmaximal, characteristic, complemented
13#23777196C211yesmaximal, characteristic, complemented
14#23777157C211yesmaximal, characteristic, complemented
15#23777115C212yesmaximal, complemented
16#23777087C212yesmaximal, complemented
17#23777086C212yesmaximal, complemented
18#23777029C212yesmaximal, complemented
19#23776819C212yesmaximal, complemented
20#23776811C212yesmaximal, complemented
21#23776809C212yesmaximal, complemented
22#23776782C212yesmaximal, complemented
23C2×#19099151C211yesmaximal, characteristic, complemented
24#538×D79C212yesmaximal, complemented
25C4×#14579206C212yesmaximal, complemented
26C2×#19099036C211yesmaximal, characteristic, complemented
27C2×#538×C79C211yesmaximal, characteristic, complemented
28C2×#14579206C2212yes—
29C23×C22⋊D79C2211yescharacteristic
30#19099297C2214yescomplemented
31#19099295C2214yescomplemented
32#19099282C2214yescomplemented
33#19099280C2214yescomplemented
34#19099280C2214yescomplemented
35#19099277C2214yescomplemented
36#19099275C2214yescomplemented
37#19099275C2214yescomplemented
38#19099271C2212yescomplemented
39#19099268C2212yescomplemented
40#19099268C2214yescomplemented
41#19099267C2214yescomplemented
42#19099265C2212yescomplemented
43#19099264C2214yescomplemented
44#19099264C2214yescomplemented
45#19099261C2212yescomplemented
46#19099261C2214yescomplemented
47#19099260C2214yescomplemented
48#19099258C2214yescomplemented
49#19099258C2214yescomplemented
50#19099256C2214yescomplemented
51#19099256C2214yescomplemented
52#19099256C2214yescomplemented
53#19099255C2212yescomplemented
54#19099250C2214yescomplemented
55#19099249C2214yescomplemented
56#19099249C2214yescomplemented
57#19099248C2212yescomplemented
58#19099244C2214yescomplemented
59#19099244C2214yescomplemented
60#19099243C2214yescomplemented
61#19099243C2214yescomplemented
62#19099241C2214yescomplemented
63#19099240C2214yescomplemented
64#19099239C2214yescomplemented
65#19099239C2214yescomplemented
66#19099239C2214yescomplemented
67#19099238C2214yescomplemented
68#19099238C2214yescomplemented
69#19099236C2214yescomplemented
70#19099231C2214yescomplemented
71Q8×C22⋊D79C2212yescomplemented
72#19099226C2212yescomplemented
73#19099224C2212yescomplemented
74#19099221C2214yescomplemented
75#19099219C2212yescomplemented
76#19099214C2212yescomplemented
77#19099213C2212yescomplemented
78#19099211C2214yescomplemented
79#19099210C2214yescomplemented
80#19099207C2214yescomplemented
81#19099207C2214yescomplemented
82#19099207C2212yescomplemented
83#19099206C2214yescomplemented
84#19099205C2214yescomplemented
85#19099204C2212yescomplemented
86#19099203C2214yescomplemented
87#19099203C2214yescomplemented
88#19099203C2214yescomplemented
89#19099202C2214yescomplemented
90#19099202C2214yescomplemented
91#19099202C2214yescomplemented
92#19099200C2214yescomplemented
93#19099200C2214yescomplemented
94#19099200C2214yescomplemented
95#19099200C2214yescomplemented
96#19099197C2212yescomplemented
97D4×C22⋊D79C2214yescomplemented
98D4×C22⋊D79C2214yescomplemented
99D4×C22⋊D79C2212yescomplemented
100#19099195C2214yescomplemented
101#19099195C2214yescomplemented
102#19099192C2212yescomplemented
103#19099189C2212yescomplemented
104#19099188C2212yescomplemented
105#19099181C2214yescomplemented
106#19099179C2214yescomplemented
107#19099177C2214yescomplemented
108#19099177C2214yescomplemented
109#19099170C2214yescomplemented
110#19099165C2214yescomplemented
111#19099163C2214yescomplemented
112#19099163C2214yescomplemented
113#19099162C2212yescomplemented
114#19099160C2214yescomplemented
115#19099158C2212yescomplemented
116#19099156C2214yescomplemented
117#19099155C2214yescomplemented
118#19099155C2214yescomplemented
119#19099154C2214yescomplemented
120#19099153C2212yescomplemented
121#19099152C2214yescomplemented
122#19099151C2212yescomplemented
123#19099151C2212yescomplemented
124#19099151C2212yescomplemented
125#19099151C2212yescomplemented
126#19099151C2214yescomplemented
127#19099151C2214yescomplemented
128#19099151C2214yescomplemented
129#19099150C2212yescomplemented
130#19099149C2214yescomplemented
131#19099148C2214yescomplemented
132#19099148C2214yescomplemented
133#19099147C2214yescomplemented
134#19099147C2214yescomplemented
135#19099146C2214yescomplemented
136#19099146C2214yescomplemented
137#19099145C2214yescomplemented
138#19099145C2214yescomplemented
139#19099140C2212yescomplemented
140#19099128C2214yescomplemented
141#19099125C2212yescomplemented
142#19099123C2214yescomplemented
143#19099122C2212yescomplemented
144#19099122C2212yescomplemented
145#19099121C2212yescomplemented
146#19099115C2212yescomplemented
147#19099112C2214yescomplemented
148#19099108C2212yescomplemented
149#19099108C2214yescomplemented
150#19099099C2212yescomplemented
151#19099097C2214yescomplemented
152#19099096C2214yescomplemented
153#19099096C2214yescomplemented
154#19099096C2214yescomplemented
155#19099094C2212yescomplemented
156#19099094C2214yescomplemented
157#19099093C2214yescomplemented
158#19099093C2214yescomplemented
159#19099092C2214yescomplemented
160#19099092C2214yescomplemented
161#19099090C2214yescomplemented
162#19099090C2214yescomplemented
163C2×#14579154C2212yescomplemented
164#126×D79C2214yescomplemented
165C2×#14579147C2212yescomplemented
166#124×D79C2214yescomplemented
167#19099076C2212yescomplemented
168#19099074C2214yescomplemented
169#19099073C2212yescomplemented
170#19099073C2214yescomplemented
171#19099072C2214yescomplemented
172#19099072C2214yescomplemented
173#19099071C2214yescomplemented
174#19099069C2214yescomplemented
175#19099069C2214yescomplemented
176#19099069C2214yescomplemented
177C2×#14579143C2212yescomplemented
178#123×D79C2214yescomplemented
179C2×#14579140C2211yescharacteristic, complemented
180C22⋊Q8×D79C2212yescomplemented
181C2×#14579135C2211yescharacteristic, complemented
182C2×#14579134C2212yescomplemented
183#121×D79C2214yescomplemented
184#121×D79C2212yescomplemented
185C2×#14579130C2212yescomplemented
186#120×D79C2214yescomplemented
187#19099044C2214yescomplemented
188#19099042C2214yescomplemented
189#19099042C2214yescomplemented
190#19099038C2212yescomplemented
191#19099036C2212yes—
192#19099036C2214yescomplemented
193#19099036C2214yescomplemented
194#19099036C2214yescomplemented
195#19099036C2214yescomplemented
196#19099036C2212yescomplemented
197#19099036C2214yescomplemented
198#19099035C2214yescomplemented
199#19099035C2214yescomplemented
200C4×#11929624C2214yescomplemented
201C4×#11929623C2214yescomplemented
202C4×#11929623C2214yescomplemented
203C2×C4×C22⋊D79C2211yescharacteristic
204C2×C4×C22⋊D79C2211yescharacteristic
205C2×C4×C22⋊D79C2211yescharacteristic, complemented
206C2×C4×C22⋊D79C2211yescharacteristic, complemented
207C2×C4×C22⋊D79C2212yescomplemented
208C2×C4×C22⋊D79C2214yescomplemented
209C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
210C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
211C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
212C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
213C4×D4×D79C2214yescomplemented
214C4×D4×D79C2214yescomplemented
215C2×#14579117C2211yescharacteristic, complemented
216C2×#14579117C2211yescharacteristic, complemented
217C22×C22⋊Dic79C2211yescharacteristic, complemented
218C2×C22⋊C4×D79C2211yescharacteristic, complemented
219C2×C22⋊C4×D79C2211yescharacteristic, complemented
220#538×C79C2212yescomplemented
221#538×C79C2212yescomplemented
222#538×C79C2212yescomplemented
223#538×C79C2212yescomplemented
224#538×C79C2214yescomplemented
225#538×C79C2214yescomplemented
226C2×#126×C79C2212yescomplemented
227C2×#124×C79C2212yescomplemented
228C2×#123×C79C2212yescomplemented
229C2×C22⋊Q8×C79C2211yescharacteristic, complemented
230C2×#121×C79C2212yescomplemented
231C2×#121×C79C2211yescharacteristic, complemented
232C2×#120×C79C2212yescomplemented
233C2×C4×D4×C79C2212yescomplemented
234C22×C22⋊C4×C79C2211yescharacteristic, complemented
235C24×D79C2311yescharacteristic
236#14579206—216no—
237C2×#11929625C2312yescomplemented
238C2×#11929624C2314yes—
239C2×#11929624C2314yescomplemented
240C2×#11929623C2314yes—
241C2×#11929623C2314yes—
242C2×#11929623C2314yescomplemented
243C2×#11929623C2314yescomplemented
244C2×#11929623C2312yescomplemented
245C22×Dic158C2311yescharacteristic, complemented
246C2×Q8×D79C2312yescomplemented
247C22×D316C2311yescharacteristic, complemented
248C22×C22⋊D79—28no—
249C22×C22⋊D79C2314yes—
250C22×C22⋊D79C2312yes—
251C22×C22⋊D79C2314yes—
252C22×C22⋊D79C2314yes—
253C22×C22⋊D79C2311yescharacteristic
254C22×C22⋊D79C2311yescharacteristic
255C22×C22⋊D79C2311yescharacteristic
256C22×C22⋊D79C2312yes—
257C22×C22⋊D79C2312yes—
258C22×C22⋊D79C2311yescharacteristic
259C2×D4×D79C2314yes—
260C2×D4×D79C2314yes—
261C2×D4×D79C2314yes—
262C2×D4×D79C2314yes—
263C2×D4×D79C2312yescomplemented
264C23×Dic79C2311yescharacteristic
265C23×Dic79C2311yescharacteristic
266C23×Dic79C2311yescharacteristic
267C22×C4×D79C2311yescharacteristic
268C22×C4×D79C2311yescharacteristic
269C22×C4×D79C2311yescharacteristic
270C22×C4×D79C2311yescharacteristic
271C22×C4×D79C2314yescomplemented
272C22×C4×D79C2312yescomplemented
273#14579160C2312yescomplemented
274#14579160C2314yescomplemented
275#14579160C2312yescomplemented
276#14579159C2312yescomplemented
277#14579159C2314yescomplemented
278#14579157C2314yes—
279#14579157C2314yes—
280#14579157C2312yescomplemented
281#14579156C2314yescomplemented
282#14579156C2314yescomplemented
283#14579156C2314yescomplemented
284#14579156C2314yescomplemented
285#14579156C2314yescomplemented
286#14579156C2314yescomplemented
287#14579155C2314yescomplemented
288#14579155C2314yescomplemented
289#14579154C2314yes—
290#14579154C2314yes—
291#14579154C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yescomplemented
296#14579154C2314yescomplemented
297#14579154C2314yescomplemented
298#14579154C2314yescomplemented
299#14579154C2314yescomplemented
300#14579154C2314yescomplemented
301#14579153C2314yescomplemented
302#14579152C2312yescomplemented
303#14579152C2312yescomplemented
304#14579152C2314yescomplemented
305#14579151C2314yescomplemented
306#14579151C2314yescomplemented
307#14579151C2314yescomplemented
308#14579151C2314yescomplemented
309#14579151C2314yescomplemented
310#14579151C2314yescomplemented
311#14579150C2312yescomplemented
312#14579150C2314yescomplemented
313#14579149C2314yescomplemented
314#14579148C2314yes—
315#14579148C2314yes—
316#14579148C2312yescomplemented
317#14579147C2314yes—
318#14579147C2314yes—
319#14579147C2314yes—
320#14579147C2314yes—
321#14579147C2314yes—
322#14579147C2314yes—
323#14579147C2314yescomplemented
324#14579147C2314yescomplemented
325#14579147C2314yescomplemented
326#14579147C2314yescomplemented
327#14579147C2314yescomplemented
328#14579147C2314yescomplemented
329#14579146C2314yescomplemented
330#14579146C2314yescomplemented
331#14579146C2314yescomplemented
332#14579146C2314yescomplemented
333#14579146C2314yescomplemented
334#14579146C2314yescomplemented
335#14579145C2314yes—
336#14579145C2314yes—
337#14579145C2314yescomplemented
338#14579145C2314yescomplemented
339#14579145C2314yescomplemented
340#14579144C2314yes—
341#14579144C2314yescomplemented
342#14579144C2314yescomplemented
343#14579144C2314yescomplemented
344#14579143C2314yes—
345#14579143C2314yes—
346#14579143C2314yes—
347#14579143C2314yes—
348#14579143C2314yes—
349#14579143C2314yes—
350#14579143C2314yescomplemented
351#14579143C2314yescomplemented
352#14579143C2314yescomplemented
353#14579143C2314yescomplemented
354#14579143C2314yescomplemented
355#14579143C2314yescomplemented
356#14579142C2314yes—
357#14579142C2314yes—
358#14579142C2314yes—
359#14579142C2314yescomplemented
360#14579142C2314yescomplemented
361#14579142C2314yescomplemented
362#14579142C2314yescomplemented
363#14579141C2312yescomplemented
364#14579141C2314yescomplemented
365#14579141C2312yescomplemented
366#14579140C2312yes—
367#14579140C2312yes—
368#14579140C2312yescomplemented
369#14579140C2312yescomplemented
370#14579140C2314yescomplemented
371#14579140C2314yescomplemented
372#14579140C2314yescomplemented
373#14579139C2314yescomplemented
374#14579139C2314yescomplemented
375#14579139C2314yescomplemented
376#14579139C2314yescomplemented
377#14579139C2314yescomplemented
378#14579139C2314yescomplemented
379#14579138C2314yes—
380#14579138C2314yes—
381#14579138C2314yes—
382#14579138C2314yes—
383#14579138C2314yescomplemented
384#14579138C2314yescomplemented
385#14579138C2314yescomplemented
386#14579138C2314yescomplemented
387#14579138C2314yescomplemented
388#14579138C2314yescomplemented
389#14579137C2312yescomplemented
390#14579137C2314yescomplemented
391#14579137C2314yescomplemented
392#14579137C2312yescomplemented
393#14579136C2312yescomplemented
394#14579136C2314yescomplemented
395#14579136C2312yescomplemented
396#14579135C2312yes—
397#14579135C2312yes—
398#14579135C2314yes—
399#14579135C2314yes—
400#14579135C2314yescomplemented
401#14579135C2312yescomplemented
402#14579135C2312yescomplemented
403#14579134C2314yes—
404#14579134C2314yes—
405#14579134C2314yes—
406#14579134C2314yes—
407#14579134C2314yes—
408#14579134C2314yes—
409#14579134C2314yescomplemented
410#14579134C2314yescomplemented
411#14579134C2314yescomplemented
412#14579134C2314yescomplemented
413#14579134C2314yescomplemented
414#14579134C2314yescomplemented
415#14579133C2314yes—
416#14579133C2314yes—
417#14579133C2314yes—
418#14579133C2314yes—
419#14579133C2314yes—
420#14579133C2314yes—
421#14579133C2314yes—
422#14579133C2314yes—
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yescomplemented
426#14579133C2314yescomplemented
427#14579133C2314yescomplemented
428#14579133C2314yescomplemented
429#14579132C2314yes—
430#14579132C2314yes—
431#14579132C2314yes—
432#14579132C2314yes—
433#14579132C2312yescomplemented
434#14579132C2312yescomplemented
435#14579131C2314yes—
436#14579131C2314yes—
437#14579131C2314yes—
438#14579131C2314yes—
439#14579131C2314yescomplemented
440#14579130C2314yes—
441#14579130C2314yes—
442#14579130C2314yes—
443#14579130C2314yes—
444#14579130C2314yes—
445#14579130C2314yescomplemented
446#14579129C2314yes—
447#14579129C2314yes—
448#14579129C2314yes—
449#14579129C2314yes—
450#14579129C2314yes—
451#14579129C2314yescomplemented
452#14579129C2314yescomplemented
453Q8×Dic79C2312yescomplemented
454Q8×Dic79C2312yescomplemented
455C4×Dic158C2314yescomplemented
456C4×Dic158C2314yescomplemented
457C4×Dic158C2314yescomplemented
458#14579126C2314yescomplemented
459#14579126C2312yescomplemented
460#14579126C2312yescomplemented
461#14579126C2314yescomplemented
462#14579126C2314yescomplemented
463C4×D316C2314yescomplemented
464C4×D316C2314yescomplemented
465C4×D316C2314yescomplemented
466D4×Dic79C2314yes—
467D4×Dic79C2314yes—
468D4×Dic79C2314yes—
469D4×Dic79C2314yes—
470D4×Dic79C2312yescomplemented
471D4×Dic79C2314yescomplemented
472D4×Dic79C2314yescomplemented
473D4×Dic79C2314yescomplemented
474D4×Dic79C2314yescomplemented
475D4×Dic79C2312yescomplemented
476#14579123C2314yescomplemented
477#14579123C2312yescomplemented
478#14579123C2312yescomplemented
479#14579123C2314yescomplemented
480#14579123C2314yescomplemented
481C4×C22⋊D79C2314yes—
482C4×C22⋊D79C2314yes—
483C4×C22⋊D79C2314yes—
484C4×C22⋊D79C2314yes—
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2312yes—
488C4×C22⋊D79C2312yes—
489C4×C22⋊D79C2312yes—
490C4×C22⋊D79C2312yes—
491C4×C22⋊D79C2312yes—
492C4×C22⋊D79C2312yes—
493C4×C22⋊D79C2312yes—
494C4×C22⋊D79C2312yes—
495C4×C22⋊D79C2314yes—
496C4×C22⋊D79C2314yes—
497C4×C22⋊D79C2314yescomplemented
498C4×C22⋊D79C2314yescomplemented
499C4×C22⋊D79C2314yescomplemented
500C4×C22⋊D79C2314yescomplemented
501C4×C22⋊D79C2314yescomplemented
502C4×C22⋊D79C2314yescomplemented
503C4×C22⋊D79C2314yescomplemented
504C4×C22⋊D79C2314yescomplemented
505C4×C22⋊D79C2314yescomplemented
506C4×C22⋊D79C2314yescomplemented
507(C22⋊D79)⋊C4C2314yes—
508(C22⋊D79)⋊C4C2314yes—
509(C22⋊D79)⋊C4C2314yes—
510(C22⋊D79)⋊C4C2314yes—
511(C22⋊D79)⋊C4C2314yes—
512(C22⋊D79)⋊C4C2314yes—
513(C22⋊D79)⋊C4C2314yes—
514(C22⋊D79)⋊C4C2314yes—
515(C22⋊D79)⋊C4C2314yes—
516(C22⋊D79)⋊C4C2314yes—
517(C22⋊D79)⋊C4C2314yes—
518(C22⋊D79)⋊C4C2314yes—
519(C22⋊D79)⋊C4C2314yes—
520(C22⋊D79)⋊C4C2314yes—
521(C22⋊D79)⋊C4C2314yescomplemented
522(C22⋊D79)⋊C4C2314yescomplemented
523(C22⋊D79)⋊C4C2314yescomplemented
524(C22⋊D79)⋊C4C2314yescomplemented
525(C22⋊D79)⋊C4C2314yescomplemented
526(C22⋊D79)⋊C4C2314yescomplemented
527(C22⋊D79)⋊C4C2314yescomplemented
528(C22⋊D79)⋊C4C2314yescomplemented
529#14579120C2314yescomplemented
530#14579120C2314yescomplemented
531#14579119C2314yescomplemented
532#14579119C2314yescomplemented
533#14579119C2312yescomplemented
534#14579119C2314yescomplemented
535#14579119C2312yescomplemented
536#14579118C2314yescomplemented
537#14579118C2314yescomplemented
538#14579118C2314yescomplemented
539#14579118C2314yescomplemented
540#14579117C2314yes—
541#14579117C2314yes—
542#14579117C2314yes—
543#14579117C2314yes—
544#14579117C2314yes—
545#14579117C2314yescomplemented
546#14579117C2314yescomplemented
547#14579117C2314yescomplemented
548#14579117C2314yescomplemented
549#14579117C2314yescomplemented
550#14579117C2314yescomplemented
551C2×C4⋊Dic79C2311yescharacteristic, complemented
552C2×C4⋊Dic79C2311yescharacteristic, complemented
553C2×Dic79⋊C4C2311yescharacteristic
554C2×Dic79⋊C4C2311yescharacteristic
555C2×Dic79⋊C4C2311yescharacteristic
556C2×Dic79⋊C4C2311yescharacteristic
557C2×Dic79⋊C4C2312yescomplemented
558C2×Dic79⋊C4C2314yescomplemented
559C2×Dic79⋊C4C2312yescomplemented
560C4⋊C4×D79C2314yescomplemented
561C4⋊C4×D79C2314yescomplemented
562C4⋊C4×D79C2312yescomplemented
563C4⋊C4×D79C2312yescomplemented
564C4⋊C4×D79C2314yescomplemented
565C2×C22⋊Dic79C2311yescharacteristic
566C2×C22⋊Dic79C2311yescharacteristic
567C2×C22⋊Dic79C2311yescharacteristic
568C2×C22⋊Dic79C2312yes—
569C2×C22⋊Dic79C2314yes—
570C2×C22⋊Dic79C2312yes—
571C2×C22⋊Dic79C2312yes—
572C2×C22⋊Dic79C2314yes—
573C2×C22⋊Dic79C2311yescharacteristic
574C2×C22⋊Dic79C2314yescomplemented
575C2×(C2×D79)⋊C4C2311yescharacteristic
576C2×(C2×D79)⋊C4C2311yescharacteristic
577C2×(C2×D79)⋊C4C2311yescharacteristic
578C2×(C2×D79)⋊C4C2311yescharacteristic
579C2×(C2×D79)⋊C4C2312yescomplemented
580C2×(C2×D79)⋊C4C2314yescomplemented
581C2×(C2×D79)⋊C4C2312yescomplemented
582C22⋊C4×D79C2314yes—
583C22⋊C4×D79C2314yes—
584C22⋊C4×D79C2314yes—
585C22⋊C4×D79C2314yes—
586C22⋊C4×D79C2314yes—
587C22⋊C4×D79C2314yes—
588C22⋊C4×D79C2314yes—
589C22⋊C4×D79C2314yescomplemented
590C22⋊C4×D79C2314yescomplemented
591C22⋊C4×D79C2314yescomplemented
592C22⋊C4×D79C2314yescomplemented
593C2×C4×Dic79C2311yescharacteristic
594C2×C4×Dic79C2311yescharacteristic
595C2×C4×Dic79C2311yescharacteristic
596C2×C4×Dic79C2311yescharacteristic
597C2×C4×Dic79C2312yescomplemented
598C2×C4×Dic79C2314yescomplemented
599C42×D79C2314yescomplemented
600C42×D79C2314yescomplemented
601C25×C79C2311yescharacteristic
602C22×Q8×C79C2311yescharacteristic, complemented
603C22×D4×C79C2312yes—
604C22×D4×C79C2312yes—
605C22×D4×C79C2312yes—
606C22×D4×C79C2311yescharacteristic, complemented
607C23×C4×C79C2311yescharacteristic
608C23×C4×C79C2311yescharacteristic
609C23×C4×C79C2312yescomplemented
610#126×C79C2314yes—
611#126×C79C2314yes—
612#126×C79C2314yescomplemented
613#126×C79C2314yescomplemented
614#124×C79C2314yes—
615#124×C79C2314yes—
616#124×C79C2314yescomplemented
617#124×C79C2314yescomplemented
618#123×C79C2314yes—
619#123×C79C2314yes—
620#123×C79C2314yescomplemented
621#123×C79C2314yescomplemented
622C22⋊Q8×C79C2312yes—
623C22⋊Q8×C79C2312yes—
624C22⋊Q8×C79C2312yescomplemented
625C22⋊Q8×C79C2312yescomplemented
626#121×C79C2312yes—
627#121×C79C2314yes—
628#121×C79C2312yes—
629#121×C79C2314yes—
630#121×C79C2314yescomplemented
631#121×C79C2312yescomplemented
632#121×C79C2312yescomplemented
633#121×C79C2314yescomplemented
634#120×C79C2314yes—
635#120×C79C2314yes—
636#120×C79C2314yes—
637#120×C79C2314yes—
638C4×D4×C79C2314yes—
639C4×D4×C79C2314yes—
640C4×D4×C79C2314yescomplemented
641C4×D4×C79C2314yescomplemented
642C2×C4⋊C4×C79C2312yescomplemented
643C2×C4⋊C4×C79C2311yescharacteristic, complemented
644C2×C4⋊C4×C79C2312yescomplemented
645C2×C4⋊C4×C79C2311yescharacteristic, complemented
646C2×C22⋊C4×C79C2312yes—
647C2×C22⋊C4×C79C2312yes—
648C2×C22⋊C4×C79C2311yescharacteristic
649C2×C22⋊C4×C79C2311yescharacteristic
650C2×C22⋊C4×C79C2311yescharacteristic
651C2×C22⋊C4×C79C2311yescharacteristic
652C2×C22⋊C4×C79C2312yes—
653C2×C22⋊C4×C79C2312yes—
654C2×C22⋊C4×C79C2312yes—
655C2×C22⋊C4×C79C2312yes—
656C2×C22⋊C4×C79C2312yes—
657C2×C22⋊C4×C79C2312yescomplemented
658C2×C22⋊C4×C79C2312yescomplemented
659C2×C42×C79C2312yescomplemented
660C23×D79—24no—
661C23×D79—81no—
662C23×D79—81no—
663C23×D79C2414yes—
664C23×D79C2411yescharacteristic
665C23×D79C2414yes—
666C23×D79C2412yes—
667C23×D79C2411yescharacteristic
668#11929625—82no—
669#11929624—216no—
670#11929624—84no—
671#11929623—216no—
672#11929623—216no—
673#11929623—82no—
674#11929623—84no—
675#11929623—84no—
676C2×Dic158—81no—
677C2×Dic158C2414yes—
678C2×Dic158C2412yes—
679C2×Dic158C2414yes—
680C2×Dic158C2412yes—
681C2×Dic158C2414yes—
682Q8×D79—82no—
683C2×D316—81no—
684C2×D316C2414yes—
685C2×D316C2414yes—
686C2×D316C2412yes—
687C2×D316C2414yes—
688C2×D316C2412yes—
689C2×C22⋊D79—24no—
690C2×C22⋊D79—28no—
691C2×C22⋊D79—24no—
692C2×C22⋊D79—24no—
693C2×C22⋊D79—216no—
694C2×C22⋊D79—216no—
695C2×C22⋊D79—216no—
696C2×C22⋊D79—82no—
697C2×C22⋊D79—82no—
698C2×C22⋊D79#4118yescomplemented
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2414yes—
701C2×C22⋊D79C2414yes—
702C2×C22⋊D79C2414yes—
703C2×C22⋊D79C2414yes—
704C2×C22⋊D79C2414yes—
705C2×C22⋊D79C2412yes—
706C2×C22⋊D79C2412yes—
707C2×C22⋊D79C2414yes—
708C2×C22⋊D79C2414yes—
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2414yes—
711C2×C22⋊D79C2414yes—
712C2×C22⋊D79C2414yes—
713C2×C22⋊D79C2414yes—
714C2×C22⋊D79C2414yes—
715C2×C22⋊D79C2412yes—
716C2×C22⋊D79C2412yes—
717D4×D79—216no—
718D4×D79—216no—
719D4×D79—84no—
720D4×D79—84no—
721D4×D79—82no—
722C22×Dic79—24no—
723C22×Dic79—81no—
724C22×Dic79—81no—
725C22×Dic79C2412yes—
726C22×Dic79C2414yes—
727C22×Dic79C2411yescharacteristic
728C22×Dic79C2414yes—
729C22×Dic79C2412yes—
730C22×Dic79C2414yes—
731C22×Dic79C2414yes—
732C22×Dic79C2414yes—
733C22×Dic79C2414yes—
734C22×Dic79C2411yescharacteristic
735C22×Dic79C2411yescharacteristic
736C22×Dic79C2411yescharacteristic
737C22×Dic79C2411yescharacteristic
738C22×Dic79C2412yes—
739C22×Dic79C2411yescharacteristic
740C2×C4×D79—81no—
741C2×C4×D79—81no—
742C2×C4×D79—81no—
743C2×C4×D79—81no—
744C2×C4×D79—84no—
745C2×C4×D79—82no—
746C2×C4×D79C2414yes—
747C2×C4×D79C2414yes—
748C2×C4×D79C2414yes—
749C2×C4×D79C2412yes—
750C2×C4×D79C2414yes—
751C2×C4×D79C2412yes—
752C2×C4×D79C2414yes—
753C2×C4×D79C2414yes—
754C2×C4×D79C2414yes—
755C2×C4×D79C2412yes—
756C2×C4×D79C2414yes—
757C2×C4×D79C2414yes—
758C2×C4×D79C2412yes—
759C2×C4×D79C2414yes—
760C4⋊Dic79C2414yes—
761C4⋊Dic79C2412yes—
762C4⋊Dic79C2412yes—
763C4⋊Dic79C2414yes—
764C4⋊Dic79C2412yes—
765C4⋊Dic79C2412yes—
766C4⋊Dic79C2414yes—
767C4⋊Dic79C2414yes—
768C4⋊Dic79C2414yes—
769C4⋊Dic79C2414yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2414yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2412yes—
779Dic79⋊C4C2412yes—
780Dic79⋊C4C2412yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2412yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2414yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2414yes—
795C22⋊Dic79C2414yes—
796C22⋊Dic79C2414yes—
797C22⋊Dic79C2412yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2414yes—
801C22⋊Dic79C2412yes—
802C22⋊Dic79C2412yes—
803C22⋊Dic79C2412yes—
804C22⋊Dic79C2414yes—
805C22⋊Dic79C2414yes—
806C22⋊Dic79C2414yes—
807C22⋊Dic79C2414yes—
808C22⋊Dic79C2414yes—
809C22⋊Dic79C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2412yes—
812(C2×D79)⋊C4C2412yes—
813(C2×D79)⋊C4C2412yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2412yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2414yes—
821(C2×D79)⋊C4C2414yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825(C2×D79)⋊C4C2414yes—
826(C2×D79)⋊C4C2414yes—
827(C2×D79)⋊C4C2414yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2414yes—
830(C2×D79)⋊C4C2414yes—
831(C2×D79)⋊C4C2414yes—
832C4×Dic79C2414yes—
833C4×Dic79C2414yes—
834C4×Dic79C2414yes—
835C4×Dic79C2414yes—
836C4×Dic79C2414yes—
837C4×Dic79C2414yes—
838C4×Dic79C2412yes—
839C4×Dic79C2414yes—
840C4×Dic79C2412yes—
841C4×Dic79C2412yes—
842C4×Dic79C2412yes—
843C4×Dic79C2414yes—
844C4×Dic79C2414yes—
845C4×Dic79C2414yes—
846C24×C79—24no—
847C24×C79—81no—
848C24×C79—81no—
849C24×C79C2411yescharacteristic
850C24×C79C2412yes—
851C24×C79C2412yes—
852C24×C79C2411yescharacteristic
853C24×C79C2412yes—
854C24×C79C2411yescharacteristic
855C2×Q8×C79—81no—
856C2×Q8×C79C2412yes—
857C2×Q8×C79C2412yes—
858C2×D4×C79—28no—
859C2×D4×C79—82no—
860C2×D4×C79—82no—
861C2×D4×C79—81no—
862C2×D4×C79C2414yes—
863C2×D4×C79C2414yes—
864C2×D4×C79C2414yes—
865C2×D4×C79C2414yes—
866C2×D4×C79C2412yes—
867C2×D4×C79C2414yes—
868C2×D4×C79C2414yes—
869C2×D4×C79C2412yes—
870C22×C4×C79—81no—
871C22×C4×C79—81no—
872C22×C4×C79—82no—
873C22×C4×C79C2412yes—
874C22×C4×C79C2411yescharacteristic
875C22×C4×C79C2414yes—
876C22×C4×C79C2412yes—
877C22×C4×C79C2412yes—
878C22×C4×C79C2411yescharacteristic
879C22×C4×C79C2411yescharacteristic
880C22×C4×C79C2412yes—
881C22×C4×C79C2411yescharacteristic
882C22×C4×C79C2411yescharacteristic
883C22×C4×C79C2412yes—
884C22×C4×C79C2411yescharacteristic
885C22×C4×C79C2411yescharacteristic
886C22×C4×C79C2411yescharacteristic
887C22×C4×C79C2414yes—
888C4⋊C4×C79C2414yes—
889C4⋊C4×C79C2414yes—
890C4⋊C4×C79C2414yes—
891C4⋊C4×C79C2414yes—
892C4⋊C4×C79C2412yes—
893C4⋊C4×C79C2412yes—
894C4⋊C4×C79C2412yes—
895C4⋊C4×C79C2412yes—
896C22⋊C4×C79C2412yes—
897C22⋊C4×C79C2412yes—
898C22⋊C4×C79C2412yes—
899C22⋊C4×C79C2412yes—
900C22⋊C4×C79C2412yes—
901C22⋊C4×C79C2412yes—
902C22⋊C4×C79C2412yes—
903C22⋊C4×C79C2412yes—
904C22⋊C4×C79C2414yes—
905C22⋊C4×C79C2414yes—
906C22⋊C4×C79C2414yes—
907C22⋊C4×C79C2414yes—
908C22⋊C4×C79C2414yes—
909C22⋊C4×C79C2414yes—
910C22⋊C4×C79C2414yes—
911C22⋊C4×C79C2414yes—
912C22⋊C4×C79C2414yes—
913C22⋊C4×C79C2414yes—
914C42×C79C2414yes—
915C42×C79C2414yes—
916C23×C79—22no—
917C23×C79—22no—
918C23×C79—24no—
919C23×C79—24no—
920C23×C79—24no—
921C23×C79—41no—
922C23×C79—41no—
923C23×C79—41no—
924C23×C79—41no—
925C23×C79—41no—
926C23×C79—41no—
927C23×C79—42no—
928C23×C79—42no—
929C23×C79—42no—
930C23×C79—42no—
931C23×C79—42no—
932C23×C79—42no—
933C23×C79—88no—
934C23×C79C2×#4114yes—
935C23×C79C2512yes—
936C23×C79C2514yes—
937C23×C79C2512yes—
938C23×C79C2511yescharacteristic
939C23×C79C2511yescharacteristic
940C23×C79C2511yescharacteristic
941C22×D79—22no—
942C22×D79—24no—
943C22×D79—28no—
944C22×D79—28no—
945C22×D79—41no—
946C22×D79—41no—
947C22×D79—41no—
948C22×D79—41no—
949C22×D79—44no—
950C22×D79—42no—
951C22×D79—44no—
952C22×D79—44no—
953C22×D79—44no—
954C22×D79—42no—
955C22×D79—88no—
956C22×D79C2×#4114yes—
957C22×D79C2512yes—
958C22×D79C2514yes—
959C22×D79C2512yes—
960Q8×C79—42no—
961Q8×C79—42no—
962D4×C79—28no—
963D4×C79—28no—
964D4×C79—44no—
965D4×C79—42no—
966D4×C79—44no—
967D4×C79—42no—
968D4×C79—44no—
969D4×C79—44no—
970C2×C4×C79—24no—
971C2×C4×C79—41no—
972C2×C4×C79—41no—
973C2×C4×C79—42no—
974C2×C4×C79—44no—
975C2×C4×C79—41no—
976C2×C4×C79—41no—
977C2×C4×C79—41no—
978C2×C4×C79—41no—
979C2×C4×C79—44no—
980C2×C4×C79—42no—
981C2×C4×C79—41no—
982C2×C4×C79—42no—
983C2×C4×C79—41no—
984C2×C4×C79—42no—
985C2×C4×C79C2512yes—
986C2×C4×C79C2512yes—
987C2×C4×C79C2511yescharacteristic
988C2×C4×C79C2511yescharacteristic
989C2×C4×C79C2514yes—
990C2×C4×C79C2514yes—
991C2×C4×C79C2514yes—
992C2×C4×C79C2511yescharacteristic
993C2×C4×C79C2511yescharacteristic
994C22⋊D79—28no—
995C22⋊D79—24no—
996C22⋊D79—24no—
997C22⋊D79—28no—
998C22⋊D79—28no—
999C22⋊D79—28no—
1000C22⋊D79—28no—
1001C22⋊D79—28no—
1002C22⋊D79—44no—
1003C22⋊D79—44no—
1004C22⋊D79—44no—
1005C22⋊D79—44no—
1006C22⋊D79—44no—
1007C22⋊D79—44no—
1008C22⋊D79—44no—
1009C22⋊D79—44no—
1010C22⋊D79C2×#4118yes—
1011C22⋊D79C2×#4118yes—
1012C2×Dic79—22no—
1013C2×Dic79—24no—
1014C2×Dic79—28no—
1015C2×Dic79—28no—
1016C2×Dic79—41no—
1017C2×Dic79—41no—
1018C2×Dic79—41no—
1019C2×Dic79—41no—
1020C2×Dic79—42no—
1021C2×Dic79—44no—
1022C2×Dic79—44no—
1023C2×Dic79—44no—
1024C2×Dic79—42no—
1025C2×Dic79—44no—
1026C2×Dic79C2×#4114yes—
1027C2×Dic79C2512yes—
1028C2×Dic79C2512yes—
1029C2×Dic79C2514yes—
1030C2×Dic79C2514yes—
1031C2×Dic79C2512yes—
1032C2×Dic79C2512yes—
1033C2×Dic79C2512yes—
1034C2×Dic79C2514yes—
1035C2×Dic79C2512yes—
1036D316—28no—
1037D316—42no—
1038D316—44no—
1039D316—44no—
1040D316—42no—
1041C4×D79—28no—
1042C4×D79—28no—
1043C4×D79—44no—
1044C4×D79—44no—
1045C4×D79—44no—
1046C4×D79—42no—
1047C4×D79—42no—
1048C4×D79—42no—
1049C4×D79—44no—
1050C4×D79—44no—
1051C4×D79—44no—
1052C4×D79—42no—
1053C4×D79—44no—
1054C4×D79—44no—
1055Dic158—28no—
1056Dic158—42no—
1057Dic158—44no—
1058Dic158—42no—
1059Dic158—44no—
1060C22×C79—21no—
1061C22×C79—21no—
1062C22×C79—21no—
1063C22×C79—21no—
1064C22×C79—21no—
1065C22×C79—21no—
1066C22×C79—22no—
1067C22×C79—24no—
1068C22×C79—22no—
1069C22×C79—24no—
1070C22×C79—24no—
1071C22×C79—22no—
1072C22×C79—22no—
1073C22×C79—22no—
1074C22×C79—22no—
1075C22×C79—44no—
1076C22×C79—44no—
1077C22×C79—44no—
1078C22×C79—84no—
1079C22×C79—84no—
1080C22×C79—84no—
1081C22×C79C22×#4112yes—
1082C22×C79C22×#4112yes—
1083C22×C79C22×#4112yes—
1084C22×C79C2611yescharacteristic
1085C2×D79—22no—
1086C2×D79—22no—
1087C2×D79—22no—
1088C2×D79—24no—
1089C2×D79—24no—
1090C2×D79—24no—
1091C2×D79—22no—
1092C2×D79—22no—
1093C2×D79—44no—
1094C2×D79—44no—
1095C2×D79—88no—
1096C2×D79—88no—
1097C2×D79—84no—
1098C2×D79C22×#4114yes—
1099C4×C79—24no—
1100C4×C79—22no—
1101C4×C79—22no—
1102C4×C79—21no—
1103C4×C79—24no—
1104C4×C79—21no—
1105C4×C79—21no—
1106C4×C79—21no—
1107C4×C79—24no—
1108Dic79—22no—
1109Dic79—24no—
1110Dic79—24no—
1111Dic79—24no—
1112Dic79—22no—
1113Dic79—22no—
1114Dic79—22no—
1115Dic79—22no—
1116Dic79C22×#4114yes—
1117#62846—791nomaximal, Sylow
1118C2×C79—22no—
1119C2×C79—22no—
1120C2×C79—22no—
1121C2×C79—42no—
1122C2×C79—44no—
1123C2×C79—42no—
1124C2×C79C23×#4111yescharacteristic
1125C2×C79H(7,𝔽2)11yescharacteristic
1126C2×C79H(7,𝔽2)11yescharacteristic
1127D79—24no—
1128D79—42no—
1129D79—44no—
1130#3521—794no—
1131#3521—794no—
1132#3519—794no—
1133#3519—794no—
1134#3514—794no—
1135#3514—794no—
1136#3513—794no—
1137#3513—794no—
1138#3506—792no—
1139#3505—792no—
1140#3505—791no—
1141#3505—791no—
1142#3501—791no—
1143#3496—791no—
1144#3493—792no—
1145#3490—792no—
1146#3490—792no—
1147#3484—792no—
1148#3460—792no—
1149#3459—792no—
1150#3459—792no—
1151#3455—792no—
1152C2×#538—792no—
1153C2×#538—791no—
1154C2×#538D7911yescharacteristic, complemented
1155C4×H(5,𝔽2)—792no—
1156C2×#518—791no—
1157C79#6284611yescharacteristic, complemented, Sylow
1158C2×H(5,𝔽2)—792no—
1159C23×D4—791no—
1160#559—794no—
1161#559—794no—
1162#556—794no—
1163#556—794no—
1164#556—794no—
1165#555—794no—
1166#555—794no—
1167#555—794no—
1168#554—794no—
1169#554—792no—
1170#554—792no—
1171#554—794no—
1172#553—794no—
1173#553—794no—
1174#553—794no—
1175#553—794no—
1176#553—794no—
1177#553—794no—
1178#553—794no—
1179#553—794no—
1180#553—792no—
1181#553—792no—
1182#553—794no—
1183#552—794no—
1184#552—794no—
1185#552—794no—
1186#552—792no—
1187#552—792no—
1188#551—794no—
1189#551—794no—
1190#551—794no—
1191#551—794no—
1192#551—794no—
1193#551—794no—
1194#551—794no—
1195#551—794no—
1196#551—794no—
1197#551—794no—
1198#551—794no—
1199#551—794no—
1200#550—794no—
1201D4×Q8—792no—
1202D4×Q8—792no—
1203#548—792no—
1204#548—794no—
1205#548—792no—
1206#547—794no—
1207#547—792no—
1208#547—792no—
1209#546—794no—
1210#546—794no—
1211#546—792no—
1212#546—794no—
1213#546—794no—
1214#546—792no—
1215#546—794no—
1216#546—794no—
1217#546—794no—
1218#546—794no—
1219#546—794no—
1220#546—794no—
1221#546—794no—
1222#546—794no—
1223#546—794no—
1224#546—794no—
1225#546—794no—
1226D42—794no—
1227D42—794no—
1228D42—792no—
1229D42—792no—
1230D42—794no—
1231D42—794no—
1232#544—792no—
1233#543—792no—
1234#543—792no—
1235#542—794no—
1236#542—794no—
1237#542—794no—
1238#542—794no—
1239#541—794no—
1240#540—794no—
1241#540—794no—
1242#540—794no—
1243#539—794no—
1244#539—794no—
1245#539—792no—
1246#539—792no—
1247#539—794no—
1248#539—794no—
1249#539—794no—
1250#538—794no—
1251#538—794no—
1252#538—794no—
1253#538—794no—
1254#538—792no—
1255#538—794no—
1256#538—792no—
1257#538—794no—
1258#538—794no—
1259#538—794no—
1260#538—794no—
1261#538—794no—
1262#538—792no—
1263#538—792no—
1264#538—792no—
1265#538—792no—
1266#538—794no—
1267#538—794no—
1268#538—794no—
1269#538C2×D7912yescomplemented
1270#538C2×D7912yescomplemented
1271#538C2×D7912yescomplemented
1272#538C2×D7912yescomplemented
1273#538C2×D7914yescomplemented
1274#538C2×D7914yescomplemented
1275#537—792no—
1276#535—794no—
1277#534—792no—
1278#534—792no—
1279#534—792no—
1280#534—794no—
1281#534—792no—
1282#533—792no—
1283#532—794no—
1284#532—792no—
1285#532—794no—
1286#529—794no—
1287#529—794no—
1288#529—794no—
1289#529—794no—
1290#529—794no—
1291#529—794no—
1292#529—794no—
1293#529—792no—
1294#529—794no—
1295#529—792no—
1296#529—794no—
1297#529—794no—
1298#529—794no—
1299C2×#126—794no—
1300C2×#126—792no—
1301C2×#126C2×D7912yescomplemented
1302C2×#124—794no—
1303C2×#124—792no—
1304C2×#124C2×D7912yescomplemented
1305#525—794no—
1306#525—794no—
1307#525—792no—
1308#525—792no—
1309#525—794no—
1310#525—794no—
1311#525—794no—
1312#525—794no—
1313#525—794no—
1314#525—794no—
1315C2×#123—794no—
1316C2×#123—792no—
1317C2×#123C2×D7912yescomplemented
1318C2×C22⋊Q8—791no—
1319C2×C22⋊Q8—792no—
1320C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1321C2×#121—791no—
1322C2×#121—792no—
1323C2×#121—794no—
1324C2×#121—792no—
1325C2×#121C2×D7912yescomplemented
1326C2×#121C2×D7911yescharacteristic, complemented
1327C2×#120—792no—
1328C2×#120—794no—
1329C2×#120C2×D7912yescomplemented
1330#520—794no—
1331#520—794no—
1332#520—794no—
1333#518—792no—
1334#518—794no—
1335#518—794no—
1336#518—794no—
1337#518—794no—
1338#518—794no—
1339#518—794no—
1340#518—792no—
1341#518—792no—
1342#518—794no—
1343C4×#41—794no—
1344C4×#41—794no—
1345C4×#41—794no—
1346C2×C4×D4—791no—
1347C2×C4×D4—791no—
1348C2×C4×D4—791no—
1349C2×C4×D4—791no—
1350C2×C4×D4—792no—
1351C2×C4×D4—794no—
1352C2×C4×D4—794no—
1353C2×C4×D4—794no—
1354C2×C4×D4—791no—
1355C2×C4×D4—791no—
1356C2×C4×D4—791no—
1357C2×C4×D4—791no—
1358C2×C4×D4C2×D7912yescomplemented
1359C2×#117—791no—
1360C2×#117—791no—
1361C22×C22⋊C4—791no—
1362C22×C22⋊C4—791no—
1363C22×C22⋊C4—791no—
1364C22×C22⋊C4C2×D7911yescharacteristic, complemented
1365C25—791no—
1366C25C22×D7911yescharacteristic
1367H(5,𝔽2)—15816no—
1368C2×#41—792no—
1369C2×#41—794no—
1370C2×#41—792no—
1371C2×#41—794no—
1372C2×#41—794no—
1373C2×#41—794no—
1374C2×#41—794no—
1375C2×#41—794no—
1376C22×Q8—792no—
1377C22×Q8—791no—
1378C22×Q8C22×D7911yescharacteristic, complemented
1379C22×D4—791no—
1380C22×D4—792no—
1381C22×D4—792no—
1382C22×D4—791no—
1383C22×D4—791no—
1384C22×D4—791no—
1385C22×D4—792no—
1386C22×D4—794no—
1387C22×D4—794no—
1388C22×D4—794no—
1389C22×D4—794no—
1390C22×D4—794no—
1391C22×D4—792no—
1392C22×D4—794no—
1393C22×D4—794no—
1394C22×D4—791no—
1395C22×D4—1588no—
1396C22×D4C22×D7912yes—
1397C22×D4C22×D7912yes—
1398C22×D4C22×D7912yes—
1399C22×D4C22×D7911yescharacteristic, complemented
1400C23×C4—791no—
1401C23×C4—791no—
1402C23×C4—791no—
1403C23×C4—791no—
1404C23×C4—791no—
1405C23×C4—791no—
1406C23×C4—791no—
1407C23×C4—792no—
1408C23×C4—794no—
1409C23×C4C22×D7911yescharacteristic
1410C23×C4C22×D7911yescharacteristic
1411C23×C4C22×D7912yescomplemented
1412C4⋊Q8—794no—
1413C4⋊Q8—792no—
1414C4⋊Q8—792no—
1415C4⋊Q8—794no—
1416C4⋊Q8—792no—
1417#127—794no—
1418#127—794no—
1419#127—792no—
1420#126—794no—
1421#126—794no—
1422#126—794no—
1423#126—794no—
1424#126—794no—
1425#126—794no—
1426#126—794no—
1427#126—794no—
1428#126—794no—
1429#126—794no—
1430#126—794no—
1431#126—794no—
1432#126—794no—
1433#126—794no—
1434#126—794no—
1435#126—794no—
1436#126—794no—
1437#126—794no—
1438#126—794no—
1439#126—794no—
1440#126C22×D7914yes—
1441#126C22×D7914yes—
1442#126C22×D7914yescomplemented
1443#126C22×D7914yescomplemented
1444#125—794no—
1445#125—794no—
1446#125—792no—
1447#125—792no—
1448#125—794no—
1449#125—794no—
1450#125—794no—
1451#125—794no—
1452#125—794no—
1453#125—794no—
1454#124—794no—
1455#124—792no—
1456#124—794no—
1457#124—792no—
1458#124—794no—
1459#124—794no—
1460#124—794no—
1461#124—794no—
1462#124—794no—
1463#124—794no—
1464#124—794no—
1465#124—794no—
1466#124—794no—
1467#124—794no—
1468#124—794no—
1469#124—794no—
1470#124—794no—
1471#124—794no—
1472#124C22×D7914yes—
1473#124C22×D7914yes—
1474#124C22×D7914yescomplemented
1475#124C22×D7914yescomplemented
1476#123—794no—
1477#123—794no—
1478#123—794no—
1479#123—794no—
1480#123—794no—
1481#123—794no—
1482#123—794no—
1483#123—794no—
1484#123—794no—
1485#123—794no—
1486#123—794no—
1487#123—794no—
1488#123—794no—
1489#123—794no—
1490#123—794no—
1491#123—794no—
1492#123—794no—
1493#123—794no—
1494#123—794no—
1495#123—794no—
1496#123—794no—
1497#123—794no—
1498#123—794no—
1499#123—794no—
1500#123—794no—
1501#123—794no—
1502#123—794no—
1503#123—794no—
1504#123—794no—
1505#123—794no—
1506#123—794no—
1507#123—794no—
1508#123—794no—
1509#123—794no—
1510#123C22×D7914yes—
1511#123C22×D7914yes—
1512#123C22×D7914yescomplemented
1513#123C22×D7914yescomplemented
1514C22⋊Q8—792no—
1515C22⋊Q8—792no—
1516C22⋊Q8—794no—
1517C22⋊Q8—794no—
1518C22⋊Q8—792no—
1519C22⋊Q8—792no—
1520C22⋊Q8—792no—
1521C22⋊Q8—792no—
1522C22⋊Q8—794no—
1523C22⋊Q8—794no—
1524C22⋊Q8—794no—
1525C22⋊Q8—794no—
1526C22⋊Q8—792no—
1527C22⋊Q8—794no—
1528C22⋊Q8—794no—
1529C22⋊Q8—794no—
1530C22⋊Q8—794no—
1531C22⋊Q8—792no—
1532C22⋊Q8—794no—
1533C22⋊Q8—794no—
1534C22⋊Q8—794no—
1535C22⋊Q8—794no—
1536C22⋊Q8—794no—
1537C22⋊Q8—794no—
1538C22⋊Q8—794no—
1539C22⋊Q8—794no—
1540C22⋊Q8—794no—
1541C22⋊Q8—794no—
1542C22⋊Q8—794no—
1543C22⋊Q8—794no—
1544C22⋊Q8C22×D7912yes—
1545C22⋊Q8C22×D7912yes—
1546C22⋊Q8C22×D7912yescomplemented
1547C22⋊Q8C22×D7912yescomplemented
1548#121—794no—
1549#121—792no—
1550#121—794no—
1551#121—794no—
1552#121—794no—
1553#121—794no—
1554#121—794no—
1555#121—794no—
1556#121—794no—
1557#121—792no—
1558#121—794no—
1559#121—794no—
1560#121—794no—
1561#121—794no—
1562#121—794no—
1563#121—794no—
1564#121—794no—
1565#121—794no—
1566#121—794no—
1567#121—794no—
1568#121—792no—
1569#121—792no—
1570#121—794no—
1571#121—792no—
1572#121—792no—
1573#121—794no—
1574#121—794no—
1575#121—792no—
1576#121—794no—
1577#121—792no—
1578#121—794no—
1579#121—794no—
1580#121—794no—
1581#121—794no—
1582#121—794no—
1583#121—794no—
1584#121—794no—
1585#121—794no—
1586#121—794no—
1587#121—794no—
1588#121—794no—
1589#121—794no—
1590#121C22×D7914yes—
1591#121C22×D7912yes—
1592#121C22×D7912yes—
1593#121C22×D7914yes—
1594#121C22×D7914yescomplemented
1595#121C22×D7912yescomplemented
1596#121C22×D7912yescomplemented
1597#121C22×D7914yescomplemented
1598#120—794no—
1599#120—794no—
1600#120—794no—
1601#120—794no—
1602#120—794no—
1603#120—794no—
1604#120—794no—
1605#120—794no—
1606#120—794no—
1607#120—794no—
1608#120—794no—
1609#120—794no—
1610#120—794no—
1611#120—794no—
1612#120—794no—
1613#120—794no—
1614#120—794no—
1615#120—794no—
1616#120C22×D7914yes—
1617#120C22×D7914yes—
1618#120C22×D7914yes—
1619#120C22×D7914yes—
1620C4×Q8—792no—
1621C4×Q8—792no—
1622C4×Q8—794no—
1623C4×Q8—794no—
1624C4×Q8—792no—
1625C4×Q8—792no—
1626C4×Q8—794no—
1627C4×Q8—794no—
1628C4×Q8—794no—
1629C4×Q8—794no—
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—794no—
1633C4×D4—794no—
1634C4×D4—794no—
1635C4×D4—792no—
1636C4×D4—794no—
1637C4×D4—794no—
1638C4×D4—794no—
1639C4×D4—792no—
1640C4×D4—794no—
1641C4×D4—794no—
1642C4×D4—794no—
1643C4×D4—794no—
1644C4×D4—794no—
1645C4×D4—794no—
1646C4×D4—794no—
1647C4×D4—794no—
1648C4×D4—792no—
1649C4×D4—792no—
1650C4×D4—792no—
1651C4×D4—792no—
1652C4×D4—792no—
1653C4×D4—792no—
1654C4×D4—792no—
1655C4×D4—792no—
1656C4×D4—794no—
1657C4×D4—794no—
1658C4×D4—794no—
1659C4×D4—794no—
1660C4×D4—794no—
1661C4×D4—794no—
1662C4×D4—794no—
1663C4×D4—794no—
1664C4×D4—794no—
1665C4×D4—794no—
1666C4×D4—794no—
1667C4×D4—794no—
1668C4×D4—792no—
1669C4×D4—794no—
1670C4×D4—792no—
1671C4×D4—794no—
1672C4×D4—794no—
1673C4×D4—794no—
1674C4×D4—794no—
1675C4×D4—794no—
1676C4×D4—794no—
1677C4×D4—794no—
1678C4×D4—794no—
1679C4×D4—794no—
1680C4×D4—794no—
1681C4×D4—794no—
1682C4×D4—794no—
1683C4×D4—794no—
1684C4×D4—794no—
1685C4×D4—794no—
1686C4×D4—794no—
1687C4×D4—794no—
1688C4×D4—794no—
1689C4×D4—794no—
1690C4×D4—794no—
1691C4×D4—794no—
1692C4×D4—794no—
1693C4×D4—794no—
1694C4×D4—794no—
1695C4×D4—794no—
1696C4×D4C22×D7914yes—
1697C4×D4C22×D7914yes—
1698C4×D4C22×D7914yescomplemented
1699C4×D4C22×D7914yescomplemented
1700#117—794no—
1701#117—794no—
1702#117—794no—
1703#117—794no—
1704#117—792no—
1705#117—792no—
1706#117—794no—
1707#117—794no—
1708#117—794no—
1709#117—794no—
1710#117—794no—
1711#117—794no—
1712#117—794no—
1713#117—794no—
1714#117—794no—
1715#117—794no—
1716#117—794no—
1717#117—794no—
1718#117—794no—
1719#117—794no—
1720#117—794no—
1721#117—794no—
1722C2×C4⋊C4—791no—
1723C2×C4⋊C4—791no—
1724C2×C4⋊C4—791no—
1725C2×C4⋊C4—791no—
1726C2×C4⋊C4—792no—
1727C2×C4⋊C4—794no—
1728C2×C4⋊C4—792no—
1729C2×C4⋊C4—791no—
1730C2×C4⋊C4—791no—
1731C2×C4⋊C4—794no—
1732C2×C4⋊C4—794no—
1733C2×C4⋊C4—794no—
1734C2×C4⋊C4—792no—
1735C2×C4⋊C4—792no—
1736C2×C4⋊C4C22×D7912yescomplemented
1737C2×C4⋊C4C22×D7912yescomplemented
1738C2×C4⋊C4C22×D7911yescharacteristic, complemented
1739C2×C4⋊C4C22×D7911yescharacteristic, complemented
1740C2×C22⋊C4—791no—
1741C2×C22⋊C4—791no—
1742C2×C22⋊C4—791no—
1743C2×C22⋊C4—791no—
1744C2×C22⋊C4—794no—
1745C2×C22⋊C4—794no—
1746C2×C22⋊C4—792no—
1747C2×C22⋊C4—794no—
1748C2×C22⋊C4—792no—
1749C2×C22⋊C4—792no—
1750C2×C22⋊C4—791no—
1751C2×C22⋊C4—791no—
1752C2×C22⋊C4—791no—
1753C2×C22⋊C4—791no—
1754C2×C22⋊C4—792no—
1755C2×C22⋊C4—794no—
1756C2×C22⋊C4—792no—
1757C2×C22⋊C4—794no—
1758C2×C22⋊C4—794no—
1759C2×C22⋊C4—794no—
1760C2×C22⋊C4—794no—
1761C2×C22⋊C4—794no—
1762C2×C22⋊C4—794no—
1763C2×C22⋊C4—794no—
1764C2×C22⋊C4—794no—
1765C2×C22⋊C4—794no—
1766C2×C22⋊C4—794no—
1767C2×C22⋊C4—794no—
1768C2×C22⋊C4C22×D7911yescharacteristic
1769C2×C22⋊C4C22×D7911yescharacteristic
1770C2×C22⋊C4C22×D7911yescharacteristic
1771C2×C22⋊C4C22×D7911yescharacteristic
1772C2×C22⋊C4C22×D7912yes—
1773C2×C22⋊C4C22×D7912yes—
1774C2×C22⋊C4C22×D7912yes—
1775C2×C22⋊C4C22×D7912yes—
1776C2×C22⋊C4C22×D7912yes—
1777C2×C22⋊C4C22×D7912yes—
1778C2×C22⋊C4C22×D7912yes—
1779C2×C22⋊C4C22×D7912yescomplemented
1780C2×C22⋊C4C22×D7912yescomplemented
1781C2×C42—791no—
1782C2×C42—791no—
1783C2×C42—791no—
1784C2×C42—791no—
1785C2×C42—792no—
1786C2×C42—794no—
1787C2×C42—794no—
1788C2×C42—794no—
1789C2×C42C22×D7912yescomplemented
1790C24—24no—
1791C24—81no—
1792C24—81no—
1793C24—791no—
1794C24—794no—
1795C24—794no—
1796C24—792no—
1797C24—791no—
1798C24—6321no—
1799C24—6321no—
1800C24—1584no—
1801C24C23×D7912yes—
1802C24C23×D7912yes—
1803C24C23×D7911yescharacteristic
1804C24C23×D7912yes—
1805C24C23×D7911yescharacteristic
1806C24C23×D7911yescharacteristic
1807#41—6324no—
1808#41—6324no—
1809#41—6322no—
1810#41—6324no—
1811#41—6322no—
1812#41—15816no—
1813#41—15816no—
1814#41—15816no—
1815C2×Q8—81no—
1816C2×Q8—794no—
1817C2×Q8—792no—
1818C2×Q8—792no—
1819C2×Q8—794no—
1820C2×Q8—794no—
1821C2×Q8—6321no—
1822C2×Q8—6322no—
1823C2×Q8C23×D7912yes—
1824C2×Q8C23×D7912yes—
1825C2×D4—28no—
1826C2×D4—82no—
1827C2×D4—82no—
1828C2×D4—81no—
1829C2×D4—794no—
1830C2×D4—794no—
1831C2×D4—794no—
1832C2×D4—794no—
1833C2×D4—794no—
1834C2×D4—794no—
1835C2×D4—794no—
1836C2×D4—794no—
1837C2×D4—798no—
1838C2×D4—792no—
1839C2×D4—792no—
1840C2×D4—794no—
1841C2×D4—794no—
1842C2×D4—794no—
1843C2×D4—794no—
1844C2×D4—792no—
1845C2×D4—792no—
1846C2×D4—794no—
1847C2×D4—794no—
1848C2×D4—794no—
1849C2×D4—794no—
1850C2×D4—792no—
1851C2×D4—792no—
1852C2×D4—794no—
1853C2×D4—6321no—
1854C2×D4—6322no—
1855C2×D4—6324no—
1856C2×D4—6324no—
1857C2×D4—6322no—
1858C2×D4—6322no—
1859C2×D4—1584no—
1860C2×D4—15816no—
1861C2×D4—15816no—
1862C2×D4—15816no—
1863C2×D4—15816no—
1864C2×D4—15816no—
1865C2×D4—1584no—
1866C2×D4—1584no—
1867C2×D4—1588no—
1868C2×D4C23×D7914yes—
1869C2×D4C23×D7914yes—
1870C2×D4C23×D7912yes—
1871C2×D4C23×D7914yes—
1872C2×D4C23×D7914yes—
1873C2×D4C23×D7914yes—
1874C2×D4C23×D7914yes—
1875C2×D4C23×D7912yes—
1876C22×C4—81no—
1877C22×C4—81no—
1878C22×C4—82no—
1879C22×C4—791no—
1880C22×C4—791no—
1881C22×C4—792no—
1882C22×C4—791no—
1883C22×C4—791no—
1884C22×C4—794no—
1885C22×C4—792no—
1886C22×C4—794no—
1887C22×C4—794no—
1888C22×C4—794no—
1889C22×C4—794no—
1890C22×C4—794no—
1891C22×C4—794no—
1892C22×C4—794no—
1893C22×C4—792no—
1894C22×C4—792no—
1895C22×C4—794no—
1896C22×C4—792no—
1897C22×C4—792no—
1898C22×C4—794no—
1899C22×C4—794no—
1900C22×C4—794no—
1901C22×C4—791no—
1902C22×C4—791no—
1903C22×C4—792no—
1904C22×C4—794no—
1905C22×C4—794no—
1906C22×C4—794no—
1907C22×C4—794no—
1908C22×C4—6321no—
1909C22×C4—6324no—
1910C22×C4—6322no—
1911C22×C4—6321no—
1912C22×C4—6321no—
1913C22×C4—6321no—
1914C22×C4—6321no—
1915C22×C4—6321no—
1916C22×C4—1584no—
1917C22×C4C23×D7912yes—
1918C22×C4C23×D7911yescharacteristic
1919C22×C4C23×D7911yescharacteristic
1920C22×C4C23×D7912yes—
1921C22×C4C23×D7911yescharacteristic
1922C22×C4C23×D7911yescharacteristic
1923C22×C4C23×D7914yes—
1924C22×C4C23×D7912yes—
1925C22×C4C23×D7912yes—
1926C22×C4C23×D7911yescharacteristic
1927C22×C4C23×D7914yes—
1928C22×C4C23×D7911yescharacteristic
1929C22×C4C23×D7911yescharacteristic
1930C22×C4C23×D7911yescharacteristic
1931C22×C4C23×D7912yes—
1932C4⋊C4—794no—
1933C4⋊C4—794no—
1934C4⋊C4—794no—
1935C4⋊C4—794no—
1936C4⋊C4—794no—
1937C4⋊C4—794no—
1938C4⋊C4—792no—
1939C4⋊C4—792no—
1940C4⋊C4—792no—
1941C4⋊C4—794no—
1942C4⋊C4—792no—
1943C4⋊C4—794no—
1944C4⋊C4—794no—
1945C4⋊C4—794no—
1946C4⋊C4—794no—
1947C4⋊C4—794no—
1948C4⋊C4—794no—
1949C4⋊C4—794no—
1950C4⋊C4—794no—
1951C4⋊C4—794no—
1952C4⋊C4—794no—
1953C4⋊C4—794no—
1954C4⋊C4—794no—
1955C4⋊C4—792no—
1956C4⋊C4—792no—
1957C4⋊C4—794no—
1958C4⋊C4—792no—
1959C4⋊C4—792no—
1960C4⋊C4—794no—
1961C4⋊C4—794no—
1962C4⋊C4—794no—
1963C4⋊C4—794no—
1964C4⋊C4C23×D7914yes—
1965C4⋊C4C23×D7914yes—
1966C4⋊C4C23×D7912yes—
1967C4⋊C4C23×D7914yes—
1968C4⋊C4C23×D7912yes—
1969C4⋊C4C23×D7912yes—
1970C4⋊C4C23×D7914yes—
1971C4⋊C4C23×D7912yes—
1972C22⋊C4—792no—
1973C22⋊C4—792no—
1974C22⋊C4—794no—
1975C22⋊C4—794no—
1976C22⋊C4—792no—
1977C22⋊C4—792no—
1978C22⋊C4—794no—
1979C22⋊C4—794no—
1980C22⋊C4—794no—
1981C22⋊C4—794no—
1982C22⋊C4—794no—
1983C22⋊C4—794no—
1984C22⋊C4—794no—
1985C22⋊C4—794no—
1986C22⋊C4—794no—
1987C22⋊C4—794no—
1988C22⋊C4—794no—
1989C22⋊C4—794no—
1990C22⋊C4—794no—
1991C22⋊C4—792no—
1992C22⋊C4—792no—
1993C22⋊C4—792no—
1994C22⋊C4—794no—
1995C22⋊C4—792no—
1996C22⋊C4—794no—
1997C22⋊C4—794no—
1998C22⋊C4—794no—
1999C22⋊C4—794no—
2000C22⋊C4—794no—
2001C22⋊C4—794no—
2002C22⋊C4—794no—
2003C22⋊C4—794no—
2004C22⋊C4—794no—
2005C22⋊C4—794no—
2006C22⋊C4—794no—
2007C22⋊C4—794no—
2008C22⋊C4—794no—
2009C22⋊C4—794no—
2010C22⋊C4—794no—
2011C22⋊C4—794no—
2012C22⋊C4C23×D7912yes—
2013C22⋊C4C23×D7912yes—
2014C22⋊C4C23×D7912yes—
2015C22⋊C4C23×D7912yes—
2016C22⋊C4C23×D7914yes—
2017C22⋊C4C23×D7914yes—
2018C22⋊C4C23×D7914yes—
2019C22⋊C4C23×D7914yes—
2020C22⋊C4C23×D7914yes—
2021C22⋊C4C23×D7914yes—
2022C22⋊C4C23×D7914yes—
2023C22⋊C4C23×D7912yes—
2024C22⋊C4C23×D7912yes—
2025C22⋊C4C23×D7912yes—
2026C22⋊C4C23×D7912yes—
2027C22⋊C4C23×D7914yes—
2028C22⋊C4C23×D7914yes—
2029C22⋊C4C23×D7914yes—
2030C42—794no—
2031C42—794no—
2032C42—794no—
2033C42—792no—
2034C42—792no—
2035C42—794no—
2036C42—794no—
2037C42—794no—
2038C42—794no—
2039C42—794no—
2040C42—792no—
2041C42—792no—
2042C42—794no—
2043C42—794no—
2044C42C23×D7914yes—
2045C42C23×D7914yes—
2046C23—22no—
2047C23—22no—
2048C23—24no—
2049C23—24no—
2050C23—24no—
2051C23—41no—
2052C23—41no—
2053C23—41no—
2054C23—41no—
2055C23—41no—
2056C23—41no—
2057C23—42no—
2058C23—42no—
2059C23—42no—
2060C23—42no—
2061C23—42no—
2062C23—42no—
2063C23—88no—
2064C23—3161no—
2065C23—3161no—
2066C23—3161no—
2067C23—3161no—
2068C23—3162no—
2069C23—3164no—
2070C23—3162no—
2071C23—3164no—
2072C23—3164no—
2073C23—3164no—
2074C23—794no—
2075C23—792no—
2076C23—792no—
2077C23—794no—
2078C23—6328no—
2079C23—1588no—
2080C23—1588no—
2081C23—1582no—
2082C23—1584no—
2083C23#41×D7914yes—
2084C23C24×D7912yes—
2085C23C24×D7914yes—
2086C23C24×D7912yes—
2087C23C24×D7911yescharacteristic
2088C23C24×D7911yescharacteristic
2089C23C24×D7911yescharacteristic
2090Q8—42no—
2091Q8—42no—
2092Q8—3162no—
2093Q8—3162no—
2094Q8—3164no—
2095Q8—3164no—
2096Q8—1588no—
2097D4—28no—
2098D4—28no—
2099D4—42no—
2100D4—44no—
2101D4—44no—
2102D4—44no—
2103D4—42no—
2104D4—44no—
2105D4—3162no—
2106D4—3164no—
2107D4—3162no—
2108D4—3164no—
2109D4—3164no—
2110D4—3164no—
2111D4—3164no—
2112D4—3164no—
2113D4—3164no—
2114D4—3164no—
2115D4—3164no—
2116D4—3164no—
2117D4—798no—
2118D4—798no—
2119D4—1588no—
2120D4—1588no—
2121D4—1588no—
2122D4—1588no—
2123D4—1588no—
2124D4—1584no—
2125D4—1584no—
2126D4—1588no—
2127D4—1588no—
2128C2×C4—24no—
2129C2×C4—42no—
2130C2×C4—41no—
2131C2×C4—41no—
2132C2×C4—42no—
2133C2×C4—44no—
2134C2×C4—41no—
2135C2×C4—41no—
2136C2×C4—41no—
2137C2×C4—42no—
2138C2×C4—41no—
2139C2×C4—41no—
2140C2×C4—41no—
2141C2×C4—44no—
2142C2×C4—42no—
2143C2×C4—3164no—
2144C2×C4—3164no—
2145C2×C4—3162no—
2146C2×C4—3164no—
2147C2×C4—3162no—
2148C2×C4—3164no—
2149C2×C4—3164no—
2150C2×C4—3164no—
2151C2×C4—3162no—
2152C2×C4—3162no—
2153C2×C4—3164no—
2154C2×C4—3164no—
2155C2×C4—3161no—
2156C2×C4—3161no—
2157C2×C4—3161no—
2158C2×C4—3161no—
2159C2×C4—3162no—
2160C2×C4—3164no—
2161C2×C4—3164no—
2162C2×C4—3164no—
2163C2×C4—3162no—
2164C2×C4—3164no—
2165C2×C4—792no—
2166C2×C4—794no—
2167C2×C4—792no—
2168C2×C4—792no—
2169C2×C4—794no—
2170C2×C4—794no—
2171C2×C4—792no—
2172C2×C4—792no—
2173C2×C4—792no—
2174C2×C4—794no—
2175C2×C4—1588no—
2176C2×C4—1588no—
2177C2×C4—1588no—
2178C2×C4—1588no—
2179C2×C4—1582no—
2180C2×C4—1584no—
2181C2×C4C24×D7912yes—
2182C2×C4C24×D7912yes—
2183C2×C4C24×D7914yes—
2184C2×C4C24×D7914yes—
2185C2×C4C24×D7911yescharacteristic
2186C2×C4C24×D7911yescharacteristic
2187C2×C4C24×D7914yes—
2188C2×C4C24×D7911yescharacteristic
2189C2×C4C24×D7911yescharacteristic
2190C22—21no—
2191C22—21no—
2192C22—21no—
2193C22—21no—
2194C22—21no—
2195C22—21no—
2196C22—22no—
2197C22—24no—
2198C22—22no—
2199C22—24no—
2200C22—22no—
2201C22—22no—
2202C22—24no—
2203C22—22no—
2204C22—22no—
2205C22—44no—
2206C22—44no—
2207C22—44no—
2208C22—84no—
2209C22—84no—
2210C22—84no—
2211C22—3164no—
2212C22—3164no—
2213C22—794no—
2214C22—6324no—
2215C22—6328no—
2216C22—6328no—
2217C22—1584no—
2218C22—1582no—
2219C22—1584no—
2220C22—1582no—
2221C22—1582no—
2222C22—1584no—
2223C22—1582no—
2224C22—1582no—
2225C22C2×#41×D7912yes—
2226C22C2×#41×D7912yes—
2227C22C2×#41×D7912yes—
2228C22C25×D7911yescharacteristic
2229C4—24no—
2230C4—22no—
2231C4—22no—
2232C4—21no—
2233C4—24no—
2234C4—21no—
2235C4—21no—
2236C4—21no—
2237C4—24no—
2238C4—794no—
2239C4—1582no—
2240C4—1584no—
2241C4—1582no—
2242C4—1582no—
2243C4—1584no—
2244C4—1582no—
2245C4—1582no—
2246C4—1584no—
2247C2—22no—
2248C2—22no—
2249C2—22no—
2250C2—42no—
2251C2—42no—
2252C2—44no—
2253C2—3162no—
2254C2—3164no—
2255C2—1584no—
2256C2C22×#41×D7911yescharacteristic
2257C2#2377821011yescharacteristic
2258C2#2377821011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#538×C79C2
hypercenterC2×#538D79
hypocenterC79#62846
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #23777464C2semidirect
2. #23777460C2semidirect
3. #23777426C2semidirect
4. #23777424C2semidirect
5. #23777355C2semidirect
6. #23777353C2semidirect
7. #23777336C2semidirect
8. #23777332C2semidirect
9. #23777247C2semidirect
10. #23777241C2semidirect
11. #23777238C2semidirect
12. #23777234C2semidirect
13. #23777196C2semidirect
14. #23777157C2semidirect
15. #23777115C2semidirect
16. #23777087C2semidirect
17. #23777086C2semidirect
18. #23777029C2semidirect
19. #23776819C2semidirect
20. #23776811C2semidirect
21. #23776809C2semidirect
22. #23776782C2semidirect
23. C2×#19099151C2semidirect
24. #538×D79C2semidirect
25. C4×#14579206C2semidirect
26. C2×#19099036C2semidirect
27. C2×#538×C79C2semidirect
30. #19099297C22semidirect
31. #19099295C22semidirect
32. #19099282C22semidirect
33. #19099280C22semidirect
34. #19099280C22semidirect
35. #19099277C22semidirect
36. #19099275C22semidirect
37. #19099275C22semidirect
38. #19099271C22semidirect
39. #19099268C22semidirect
40. #19099268C22semidirect
41. #19099267C22semidirect
42. #19099265C22semidirect
43. #19099264C22semidirect
44. #19099264C22semidirect
45. #19099261C22semidirect
46. #19099261C22semidirect
47. #19099260C22semidirect
48. #19099258C22semidirect
49. #19099258C22semidirect
50. #19099256C22semidirect
51. #19099256C22semidirect
52. #19099256C22semidirect
53. #19099255C22semidirect
54. #19099250C22semidirect
55. #19099249C22semidirect
56. #19099249C22semidirect
57. #19099248C22semidirect
58. #19099244C22semidirect
59. #19099244C22semidirect
60. #19099243C22semidirect
61. #19099243C22semidirect
62. #19099241C22semidirect
63. #19099240C22semidirect
64. #19099239C22semidirect
65. #19099239C22semidirect
66. #19099239C22semidirect
67. #19099238C22semidirect
68. #19099238C22semidirect
69. #19099236C22semidirect
70. #19099231C22semidirect
71. Q8×C22⋊D79C22semidirect
72. #19099226C22semidirect
73. #19099224C22semidirect
74. #19099221C22semidirect
75. #19099219C22semidirect
76. #19099214C22semidirect
77. #19099213C22semidirect
78. #19099211C22semidirect
79. #19099210C22semidirect
80. #19099207C22semidirect
81. #19099207C22semidirect
82. #19099207C22semidirect
83. #19099206C22semidirect
84. #19099205C22semidirect
85. #19099204C22semidirect
86. #19099203C22semidirect
87. #19099203C22semidirect
88. #19099203C22semidirect
89. #19099202C22semidirect
90. #19099202C22semidirect
91. #19099202C22semidirect
92. #19099200C22semidirect
93. #19099200C22semidirect
94. #19099200C22semidirect
95. #19099200C22semidirect
96. #19099197C22semidirect
97. D4×C22⋊D79C22semidirect
98. D4×C22⋊D79C22semidirect
99. D4×C22⋊D79C22semidirect
100. #19099195C22semidirect
101. #19099195C22semidirect
102. #19099192C22semidirect
103. #19099189C22semidirect
104. #19099188C22semidirect
105. #19099181C22semidirect
106. #19099179C22semidirect
107. #19099177C22semidirect
108. #19099177C22semidirect
109. #19099170C22semidirect
110. #19099165C22semidirect
111. #19099163C22semidirect
112. #19099163C22semidirect
113. #19099162C22semidirect
114. #19099160C22semidirect
115. #19099158C22semidirect
116. #19099156C22semidirect
117. #19099155C22semidirect
118. #19099155C22semidirect
119. #19099154C22semidirect
120. #19099153C22semidirect
121. #19099152C22semidirect
122. #19099151C22semidirect
123. #19099151C22semidirect
124. #19099151C22semidirect
125. #19099151C22semidirect
126. #19099151C22semidirect
127. #19099151C22semidirect
128. #19099151C22semidirect
129. #19099150C22semidirect
130. #19099149C22semidirect
131. #19099148C22semidirect
132. #19099148C22semidirect
133. #19099147C22semidirect
134. #19099147C22semidirect
135. #19099146C22semidirect
136. #19099146C22semidirect
137. #19099145C22semidirect
138. #19099145C22semidirect
139. #19099140C22semidirect
140. #19099128C22semidirect
141. #19099125C22semidirect
142. #19099123C22semidirect
143. #19099122C22semidirect
144. #19099122C22semidirect
145. #19099121C22semidirect
146. #19099115C22semidirect
147. #19099112C22semidirect
148. #19099108C22semidirect
149. #19099108C22semidirect
150. #19099099C22semidirect
151. #19099097C22semidirect
152. #19099096C22semidirect
153. #19099096C22semidirect
154. #19099096C22semidirect
155. #19099094C22semidirect
156. #19099094C22semidirect
157. #19099093C22semidirect
158. #19099093C22semidirect
159. #19099092C22semidirect
160. #19099092C22semidirect
161. #19099090C22semidirect
162. #19099090C22semidirect
163. C2×#14579154C22semidirect
164. #126×D79C22semidirect
165. C2×#14579147C22semidirect
166. #124×D79C22semidirect
167. #19099076C22semidirect
168. #19099074C22semidirect
169. #19099073C22semidirect
170. #19099073C22semidirect
171. #19099072C22semidirect
172. #19099072C22semidirect
173. #19099071C22semidirect
174. #19099069C22semidirect
175. #19099069C22semidirect
176. #19099069C22semidirect
177. C2×#14579143C22semidirect
178. #123×D79C22semidirect
179. C2×#14579140C22semidirect
180. C22⋊Q8×D79C22semidirect
181. C2×#14579135C22semidirect
182. C2×#14579134C22semidirect
183. #121×D79C22semidirect
184. #121×D79C22semidirect
185. C2×#14579130C22semidirect
186. #120×D79C22semidirect
187. #19099044C22semidirect
188. #19099042C22semidirect
189. #19099042C22semidirect
190. #19099038C22semidirect
192. #19099036C22semidirect
193. #19099036C22semidirect
194. #19099036C22semidirect
195. #19099036C22semidirect
196. #19099036C22semidirect
197. #19099036C22semidirect
198. #19099035C22semidirect
199. #19099035C22semidirect
200. C4×#11929624C22semidirect
201. C4×#11929623C22semidirect
202. C4×#11929623C22semidirect
205. C2×C4×C22⋊D79C22semidirect
206. C2×C4×C22⋊D79C22semidirect
207. C2×C4×C22⋊D79C22semidirect
208. C2×C4×C22⋊D79C22semidirect
209. C2×(C22⋊D79)⋊C4C22semidirect
210. C2×(C22⋊D79)⋊C4C22semidirect
211. C2×(C22⋊D79)⋊C4C22semidirect
212. C2×(C22⋊D79)⋊C4C22semidirect
213. C4×D4×D79C22semidirect
214. C4×D4×D79C22semidirect
215. C2×#14579117C22semidirect
216. C2×#14579117C22semidirect
217. C22×C22⋊Dic79C22semidirect
218. C2×C22⋊C4×D79C22semidirect
219. C2×C22⋊C4×D79C22semidirect
220. #538×C79C22semidirect
221. #538×C79C22semidirect
222. #538×C79C22semidirect
223. #538×C79C22semidirect
224. #538×C79C22semidirect
225. #538×C79C22semidirect
226. C2×#126×C79C22semidirect
227. C2×#124×C79C22semidirect
228. C2×#123×C79C22semidirect
229. C2×C22⋊Q8×C79C22semidirect
230. C2×#121×C79C22semidirect
231. C2×#121×C79C22semidirect
232. C2×#120×C79C22semidirect
233. C2×C4×D4×C79C22semidirect
234. C22×C22⋊C4×C79C22semidirect
237. C2×#11929625C23semidirect
239. C2×#11929624C23semidirect
242. C2×#11929623C23semidirect
243. C2×#11929623C23semidirect
244. C2×#11929623C23semidirect
245. C22×Dic158C23semidirect
246. C2×Q8×D79C23semidirect
247. C22×D316C23semidirect
263. C2×D4×D79C23semidirect
271. C22×C4×D79C23semidirect
272. C22×C4×D79C23semidirect
273. #14579160C23semidirect
274. #14579160C23semidirect
275. #14579160C23semidirect
276. #14579159C23semidirect
277. #14579159C23semidirect
280. #14579157C23semidirect
281. #14579156C23semidirect
282. #14579156C23semidirect
283. #14579156C23semidirect
284. #14579156C23semidirect
285. #14579156C23semidirect
286. #14579156C23semidirect
287. #14579155C23semidirect
288. #14579155C23semidirect
295. #14579154C23semidirect
296. #14579154C23semidirect
297. #14579154C23semidirect
298. #14579154C23semidirect
299. #14579154C23semidirect
300. #14579154C23semidirect
301. #14579153C23semidirect
302. #14579152C23semidirect
303. #14579152C23semidirect
304. #14579152C23semidirect
305. #14579151C23semidirect
306. #14579151C23semidirect
307. #14579151C23semidirect
308. #14579151C23semidirect
309. #14579151C23semidirect
310. #14579151C23semidirect
311. #14579150C23semidirect
312. #14579150C23semidirect
313. #14579149C23semidirect
316. #14579148C23semidirect
323. #14579147C23semidirect
324. #14579147C23semidirect
325. #14579147C23semidirect
326. #14579147C23semidirect
327. #14579147C23semidirect
328. #14579147C23semidirect
329. #14579146C23semidirect
330. #14579146C23semidirect
331. #14579146C23semidirect
332. #14579146C23semidirect
333. #14579146C23semidirect
334. #14579146C23semidirect
337. #14579145C23semidirect
338. #14579145C23semidirect
339. #14579145C23semidirect
341. #14579144C23semidirect
342. #14579144C23semidirect
343. #14579144C23semidirect
350. #14579143C23semidirect
351. #14579143C23semidirect
352. #14579143C23semidirect
353. #14579143C23semidirect
354. #14579143C23semidirect
355. #14579143C23semidirect
359. #14579142C23semidirect
360. #14579142C23semidirect
361. #14579142C23semidirect
362. #14579142C23semidirect
363. #14579141C23semidirect
364. #14579141C23semidirect
365. #14579141C23semidirect
368. #14579140C23semidirect
369. #14579140C23semidirect
370. #14579140C23semidirect
371. #14579140C23semidirect
372. #14579140C23semidirect
373. #14579139C23semidirect
374. #14579139C23semidirect
375. #14579139C23semidirect
376. #14579139C23semidirect
377. #14579139C23semidirect
378. #14579139C23semidirect
383. #14579138C23semidirect
384. #14579138C23semidirect
385. #14579138C23semidirect
386. #14579138C23semidirect
387. #14579138C23semidirect
388. #14579138C23semidirect
389. #14579137C23semidirect
390. #14579137C23semidirect
391. #14579137C23semidirect
392. #14579137C23semidirect
393. #14579136C23semidirect
394. #14579136C23semidirect
395. #14579136C23semidirect
400. #14579135C23semidirect
401. #14579135C23semidirect
402. #14579135C23semidirect
409. #14579134C23semidirect
410. #14579134C23semidirect
411. #14579134C23semidirect
412. #14579134C23semidirect
413. #14579134C23semidirect
414. #14579134C23semidirect
425. #14579133C23semidirect
426. #14579133C23semidirect
427. #14579133C23semidirect
428. #14579133C23semidirect
433. #14579132C23semidirect
434. #14579132C23semidirect
439. #14579131C23semidirect
445. #14579130C23semidirect
451. #14579129C23semidirect
452. #14579129C23semidirect
453. Q8×Dic79C23semidirect
454. Q8×Dic79C23semidirect
455. C4×Dic158C23semidirect
456. C4×Dic158C23semidirect
457. C4×Dic158C23semidirect
458. #14579126C23semidirect
459. #14579126C23semidirect
460. #14579126C23semidirect
461. #14579126C23semidirect
462. #14579126C23semidirect
463. C4×D316C23semidirect
464. C4×D316C23semidirect
465. C4×D316C23semidirect
470. D4×Dic79C23semidirect
471. D4×Dic79C23semidirect
472. D4×Dic79C23semidirect
473. D4×Dic79C23semidirect
474. D4×Dic79C23semidirect
475. D4×Dic79C23semidirect
476. #14579123C23semidirect
477. #14579123C23semidirect
478. #14579123C23semidirect
479. #14579123C23semidirect
480. #14579123C23semidirect
497. C4×C22⋊D79C23semidirect
498. C4×C22⋊D79C23semidirect
499. C4×C22⋊D79C23semidirect
500. C4×C22⋊D79C23semidirect
501. C4×C22⋊D79C23semidirect
502. C4×C22⋊D79C23semidirect
503. C4×C22⋊D79C23semidirect
504. C4×C22⋊D79C23semidirect
505. C4×C22⋊D79C23semidirect
506. C4×C22⋊D79C23semidirect
521. (C22⋊D79)⋊C4C23semidirect
522. (C22⋊D79)⋊C4C23semidirect
523. (C22⋊D79)⋊C4C23semidirect
524. (C22⋊D79)⋊C4C23semidirect
525. (C22⋊D79)⋊C4C23semidirect
526. (C22⋊D79)⋊C4C23semidirect
527. (C22⋊D79)⋊C4C23semidirect
528. (C22⋊D79)⋊C4C23semidirect
529. #14579120C23semidirect
530. #14579120C23semidirect
531. #14579119C23semidirect
532. #14579119C23semidirect
533. #14579119C23semidirect
534. #14579119C23semidirect
535. #14579119C23semidirect
536. #14579118C23semidirect
537. #14579118C23semidirect
538. #14579118C23semidirect
539. #14579118C23semidirect
545. #14579117C23semidirect
546. #14579117C23semidirect
547. #14579117C23semidirect
548. #14579117C23semidirect
549. #14579117C23semidirect
550. #14579117C23semidirect
551. C2×C4⋊Dic79C23semidirect
552. C2×C4⋊Dic79C23semidirect
557. C2×Dic79⋊C4C23semidirect
558. C2×Dic79⋊C4C23semidirect
559. C2×Dic79⋊C4C23semidirect
560. C4⋊C4×D79C23semidirect
561. C4⋊C4×D79C23semidirect
562. C4⋊C4×D79C23semidirect
563. C4⋊C4×D79C23semidirect
564. C4⋊C4×D79C23semidirect
574. C2×C22⋊Dic79C23semidirect
579. C2×(C2×D79)⋊C4C23semidirect
580. C2×(C2×D79)⋊C4C23semidirect
581. C2×(C2×D79)⋊C4C23semidirect
589. C22⋊C4×D79C23semidirect
590. C22⋊C4×D79C23semidirect
591. C22⋊C4×D79C23semidirect
592. C22⋊C4×D79C23semidirect
597. C2×C4×Dic79C23semidirect
598. C2×C4×Dic79C23semidirect
599. C42×D79C23semidirect
600. C42×D79C23semidirect
602. C22×Q8×C79C23semidirect
606. C22×D4×C79C23semidirect
609. C23×C4×C79C23semidirect
612. #126×C79C23semidirect
613. #126×C79C23semidirect
616. #124×C79C23semidirect
617. #124×C79C23semidirect
620. #123×C79C23semidirect
621. #123×C79C23semidirect
624. C22⋊Q8×C79C23semidirect
625. C22⋊Q8×C79C23semidirect
630. #121×C79C23semidirect
631. #121×C79C23semidirect
632. #121×C79C23semidirect
633. #121×C79C23semidirect
640. C4×D4×C79C23semidirect
641. C4×D4×C79C23semidirect
642. C2×C4⋊C4×C79C23semidirect
643. C2×C4⋊C4×C79C23semidirect
644. C2×C4⋊C4×C79C23semidirect
645. C2×C4⋊C4×C79C23semidirect
657. C2×C22⋊C4×C79C23semidirect
658. C2×C22⋊C4×C79C23semidirect
659. C2×C42×C79C23semidirect
698. C2×C22⋊D79#41semidirect
1154. C2×#538D79semidirect
1157. C79#62846semidirect
1269. #538C2×D79semidirect
1270. #538C2×D79semidirect
1271. #538C2×D79semidirect
1272. #538C2×D79semidirect
1273. #538C2×D79semidirect
1274. #538C2×D79semidirect
1301. C2×#126C2×D79semidirect
1304. C2×#124C2×D79semidirect
1317. C2×#123C2×D79semidirect
1320. C2×C22⋊Q8C2×D79semidirect
1325. C2×#121C2×D79semidirect
1326. C2×#121C2×D79semidirect
1329. C2×#120C2×D79semidirect
1358. C2×C4×D4C2×D79semidirect
1364. C22×C22⋊C4C2×D79semidirect
1378. C22×Q8C22×D79semidirect
1399. C22×D4C22×D79semidirect
1411. C23×C4C22×D79semidirect
1442. #126C22×D79semidirect
1443. #126C22×D79semidirect
1474. #124C22×D79semidirect
1475. #124C22×D79semidirect
1512. #123C22×D79semidirect
1513. #123C22×D79semidirect
1546. C22⋊Q8C22×D79semidirect
1547. C22⋊Q8C22×D79semidirect
1594. #121C22×D79semidirect
1595. #121C22×D79semidirect
1596. #121C22×D79semidirect
1597. #121C22×D79semidirect
1698. C4×D4C22×D79semidirect
1699. C4×D4C22×D79semidirect
1736. C2×C4⋊C4C22×D79semidirect
1737. C2×C4⋊C4C22×D79semidirect
1738. C2×C4⋊C4C22×D79semidirect
1739. C2×C4⋊C4C22×D79semidirect
1779. C2×C22⋊C4C22×D79semidirect
1780. C2×C22⋊C4C22×D79semidirect
1789. C2×C42C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237774642
#237774602
#237774262
#237774242
#237773552
#237773532
#237773362
#237773322
#237772472
#237772412
#237772382
#237772342
#237771962
#237771572
#237771152
#237770872
#237770862
#237770292
#237768192
#237768112
#237768092
#237767822
C2×#190991512
#538×D792
C4×#145792062
C2×#190990362
C2×#538×C792
#6284679